Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(4,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.e (of order \(5\), 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: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - x^{19} + 78 x^{18} + 79 x^{17} + 10573 x^{16} - 33409 x^{15} + 1262953 x^{14} - 1581925 x^{13} + 89291182 x^{12} - 100741271 x^{11} + 2277268901 x^{10} + \cdots + 25599187870096 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4}\cdot 11^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 31.1 | ||
Root | \(-2.34585 - 7.21978i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.31 |
Dual form | 33.6.e.b.16.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.65487 | + | 8.17084i | −0.469319 | + | 1.44441i | 0.384151 | + | 0.923270i | \(0.374494\pi\) |
−0.853469 | + | 0.521143i | \(0.825506\pi\) | |||||||
\(3\) | 7.28115 | − | 5.29007i | 0.467086 | − | 0.339358i | ||||
\(4\) | −33.8257 | − | 24.5758i | −1.05705 | − | 0.767995i | ||||
\(5\) | −21.1802 | − | 65.1858i | −0.378882 | − | 1.16608i | −0.940822 | − | 0.338901i | \(-0.889945\pi\) |
0.561940 | − | 0.827178i | \(-0.310055\pi\) | |||||||
\(6\) | 23.8938 | + | 73.5376i | 0.270961 | + | 0.833933i | ||||
\(7\) | −196.384 | − | 142.681i | −1.51482 | − | 1.10058i | −0.963983 | − | 0.265964i | \(-0.914310\pi\) |
−0.550834 | − | 0.834615i | \(-0.685690\pi\) | |||||||
\(8\) | 68.1911 | − | 49.5438i | 0.376706 | − | 0.273693i | ||||
\(9\) | 25.0304 | − | 77.0356i | 0.103006 | − | 0.317019i | ||||
\(10\) | 588.853 | 1.86212 | ||||||||
\(11\) | 375.536 | − | 141.505i | 0.935772 | − | 0.352606i | ||||
\(12\) | −376.298 | −0.754361 | ||||||||
\(13\) | −286.400 | + | 881.450i | −0.470019 | + | 1.44657i | 0.382541 | + | 0.923939i | \(0.375049\pi\) |
−0.852559 | + | 0.522630i | \(0.824951\pi\) | |||||||
\(14\) | 1687.20 | − | 1225.82i | 2.30062 | − | 1.67150i | ||||
\(15\) | −499.053 | − | 362.583i | −0.572689 | − | 0.416083i | ||||
\(16\) | −189.673 | − | 583.755i | −0.185228 | − | 0.570073i | ||||
\(17\) | −344.664 | − | 1060.77i | −0.289250 | − | 0.890220i | −0.985093 | − | 0.172025i | \(-0.944969\pi\) |
0.695843 | − | 0.718194i | \(-0.255031\pi\) | |||||||
\(18\) | 562.993 | + | 409.038i | 0.409564 | + | 0.297566i | ||||
\(19\) | −1005.28 | + | 730.379i | −0.638856 | + | 0.464156i | −0.859457 | − | 0.511208i | \(-0.829198\pi\) |
0.220601 | + | 0.975364i | \(0.429198\pi\) | |||||||
\(20\) | −885.562 | + | 2725.48i | −0.495044 | + | 1.52359i | ||||
\(21\) | −2184.69 | −1.08104 | ||||||||
\(22\) | 159.215 | + | 3444.12i | 0.0701338 | + | 1.51713i | ||||
\(23\) | 40.4597 | 0.0159479 | 0.00797393 | − | 0.999968i | \(-0.497462\pi\) | ||||
0.00797393 | + | 0.999968i | \(0.497462\pi\) | |||||||
\(24\) | 234.420 | − | 721.471i | 0.0830744 | − | 0.255677i | ||||
\(25\) | −1272.41 | + | 924.461i | −0.407172 | + | 0.295828i | ||||
\(26\) | −6441.83 | − | 4680.26i | −1.86886 | − | 1.35780i | ||||
\(27\) | −225.273 | − | 693.320i | −0.0594703 | − | 0.183031i | ||||
\(28\) | 3136.32 | + | 9652.59i | 0.756005 | + | 2.32674i | ||||
\(29\) | 439.264 | + | 319.144i | 0.0969907 | + | 0.0704679i | 0.635224 | − | 0.772328i | \(-0.280908\pi\) |
−0.538233 | + | 0.842796i | \(0.680908\pi\) | |||||||
\(30\) | 4287.53 | − | 3115.07i | 0.869769 | − | 0.631924i | ||||
\(31\) | 1934.42 | − | 5953.52i | 0.361531 | − | 1.11268i | −0.590594 | − | 0.806969i | \(-0.701106\pi\) |
0.952125 | − | 0.305709i | \(-0.0988936\pi\) | |||||||
\(32\) | 7970.57 | 1.37599 | ||||||||
\(33\) | 1985.77 | − | 3016.93i | 0.317427 | − | 0.482259i | ||||
\(34\) | 9582.38 | 1.42160 | ||||||||
\(35\) | −5141.34 | + | 15823.4i | −0.709425 | + | 2.18339i | ||||
\(36\) | −2739.89 | + | 1990.64i | −0.352352 | + | 0.255998i | ||||
\(37\) | −7458.44 | − | 5418.87i | −0.895661 | − | 0.650736i | 0.0416872 | − | 0.999131i | \(-0.486727\pi\) |
−0.937348 | + | 0.348395i | \(0.886727\pi\) | |||||||
\(38\) | −3298.92 | − | 10153.0i | −0.370607 | − | 1.14061i | ||||
\(39\) | 2577.60 | + | 7933.05i | 0.271365 | + | 0.835177i | ||||
\(40\) | −4673.85 | − | 3395.75i | −0.461875 | − | 0.335572i | ||||
\(41\) | 6960.86 | − | 5057.36i | 0.646701 | − | 0.469856i | −0.215445 | − | 0.976516i | \(-0.569120\pi\) |
0.862146 | + | 0.506660i | \(0.169120\pi\) | |||||||
\(42\) | 5800.06 | − | 17850.8i | 0.507352 | − | 1.56147i | ||||
\(43\) | −2237.97 | −0.184580 | −0.0922899 | − | 0.995732i | \(-0.529419\pi\) | ||||
−0.0922899 | + | 0.995732i | \(0.529419\pi\) | |||||||
\(44\) | −16180.4 | − | 4442.61i | −1.25996 | − | 0.345945i | ||||
\(45\) | −5551.77 | −0.408696 | ||||||||
\(46\) | −107.415 | + | 330.589i | −0.00748463 | + | 0.0230353i | ||||
\(47\) | 550.006 | − | 399.603i | 0.0363181 | − | 0.0263866i | −0.569478 | − | 0.822006i | \(-0.692855\pi\) |
0.605796 | + | 0.795620i | \(0.292855\pi\) | |||||||
\(48\) | −4469.14 | − | 3247.02i | −0.279976 | − | 0.203415i | ||||
\(49\) | 13015.0 | + | 40056.0i | 0.774379 | + | 2.38329i | ||||
\(50\) | −4175.54 | − | 12851.0i | −0.236204 | − | 0.726962i | ||||
\(51\) | −8121.07 | − | 5900.30i | −0.437208 | − | 0.317650i | ||||
\(52\) | 31350.1 | − | 22777.2i | 1.60779 | − | 1.16813i | ||||
\(53\) | 1606.89 | − | 4945.49i | 0.0785770 | − | 0.241835i | −0.904050 | − | 0.427427i | \(-0.859420\pi\) |
0.982627 | + | 0.185592i | \(0.0594202\pi\) | |||||||
\(54\) | 6263.08 | 0.292283 | ||||||||
\(55\) | −17178.0 | − | 21482.5i | −0.765714 | − | 0.957588i | ||||
\(56\) | −20460.6 | −0.871862 | ||||||||
\(57\) | −3455.85 | + | 10636.0i | −0.140886 | + | 0.433602i | ||||
\(58\) | −3773.86 | + | 2741.87i | −0.147304 | + | 0.107023i | ||||
\(59\) | 9705.90 | + | 7051.75i | 0.362999 | + | 0.263734i | 0.754302 | − | 0.656528i | \(-0.227975\pi\) |
−0.391303 | + | 0.920262i | \(0.627975\pi\) | |||||||
\(60\) | 7970.06 | + | 24529.3i | 0.285814 | + | 0.879644i | ||||
\(61\) | −741.370 | − | 2281.70i | −0.0255100 | − | 0.0785117i | 0.937491 | − | 0.348010i | \(-0.113142\pi\) |
−0.963001 | + | 0.269498i | \(0.913142\pi\) | |||||||
\(62\) | 43509.6 | + | 31611.6i | 1.43749 | + | 1.04440i | ||||
\(63\) | −15907.1 | + | 11557.2i | −0.504939 | + | 0.366860i | ||||
\(64\) | −15091.2 | + | 46446.1i | −0.460548 | + | 1.41742i | ||||
\(65\) | 63524.0 | 1.86490 | ||||||||
\(66\) | 19378.9 | + | 24234.9i | 0.547607 | + | 0.684828i | ||||
\(67\) | −9776.60 | −0.266073 | −0.133037 | − | 0.991111i | \(-0.542473\pi\) | ||||
−0.133037 | + | 0.991111i | \(0.542473\pi\) | |||||||
\(68\) | −14410.7 | + | 44351.6i | −0.377931 | + | 1.16315i | ||||
\(69\) | 294.593 | − | 214.034i | 0.00744903 | − | 0.00541204i | ||||
\(70\) | −115641. | − | 84018.2i | −2.82077 | − | 2.04941i | ||||
\(71\) | 2358.37 | + | 7258.31i | 0.0555221 | + | 0.170879i | 0.974972 | − | 0.222328i | \(-0.0713655\pi\) |
−0.919450 | + | 0.393207i | \(0.871366\pi\) | |||||||
\(72\) | −2109.78 | − | 6493.24i | −0.0479630 | − | 0.147615i | ||||
\(73\) | −22924.7 | − | 16655.8i | −0.503497 | − | 0.365812i | 0.306854 | − | 0.951756i | \(-0.400724\pi\) |
−0.810351 | + | 0.585945i | \(0.800724\pi\) | |||||||
\(74\) | 64077.9 | − | 46555.3i | 1.36028 | − | 0.988302i | ||||
\(75\) | −4374.16 | + | 13462.3i | −0.0897928 | + | 0.276354i | ||||
\(76\) | 51954.0 | 1.03178 | ||||||||
\(77\) | −93939.2 | − | 25792.7i | −1.80559 | − | 0.495757i | ||||
\(78\) | −71662.8 | −1.33370 | ||||||||
\(79\) | 21854.2 | − | 67260.5i | 0.393974 | − | 1.21253i | −0.535783 | − | 0.844356i | \(-0.679983\pi\) |
0.929757 | − | 0.368173i | \(-0.120017\pi\) | |||||||
\(80\) | −34035.2 | + | 24728.0i | −0.594571 | + | 0.431981i | ||||
\(81\) | −5307.96 | − | 3856.46i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 22842.7 | + | 70302.7i | 0.375157 | + | 1.15462i | ||||
\(83\) | 7348.06 | + | 22615.0i | 0.117079 | + | 0.360331i | 0.992375 | − | 0.123256i | \(-0.0393337\pi\) |
−0.875296 | + | 0.483587i | \(0.839334\pi\) | |||||||
\(84\) | 73898.8 | + | 53690.6i | 1.14272 | + | 0.830234i | ||||
\(85\) | −61846.8 | + | 44934.4i | −0.928475 | + | 0.674577i | ||||
\(86\) | 5941.52 | − | 18286.1i | 0.0866267 | − | 0.266610i | ||||
\(87\) | 4886.64 | 0.0692169 | ||||||||
\(88\) | 18597.6 | − | 28254.8i | 0.256005 | − | 0.388943i | ||||
\(89\) | 15462.4 | 0.206919 | 0.103460 | − | 0.994634i | \(-0.467009\pi\) | ||||
0.103460 | + | 0.994634i | \(0.467009\pi\) | |||||||
\(90\) | 14739.2 | − | 45362.6i | 0.191809 | − | 0.590326i | ||||
\(91\) | 182010. | − | 132238.i | 2.30406 | − | 1.67399i | ||||
\(92\) | −1368.58 | − | 994.330i | −0.0168578 | − | 0.0122479i | ||||
\(93\) | −17409.7 | − | 53581.7i | −0.208730 | − | 0.642405i | ||||
\(94\) | 1804.90 | + | 5554.90i | 0.0210685 | + | 0.0648421i | ||||
\(95\) | 68902.3 | + | 50060.5i | 0.783294 | + | 0.569096i | ||||
\(96\) | 58034.9 | − | 42164.8i | 0.642705 | − | 0.466952i | ||||
\(97\) | 17830.1 | − | 54875.5i | 0.192409 | − | 0.592174i | −0.807588 | − | 0.589747i | \(-0.799228\pi\) |
0.999997 | − | 0.00242673i | \(-0.000772452\pi\) | |||||||
\(98\) | −361844. | −3.80589 | ||||||||
\(99\) | −1501.10 | − | 32471.6i | −0.0153929 | − | 0.332978i | ||||
\(100\) | 65759.7 | 0.657597 | ||||||||
\(101\) | 11568.0 | − | 35602.5i | 0.112838 | − | 0.347278i | −0.878652 | − | 0.477462i | \(-0.841557\pi\) |
0.991490 | + | 0.130184i | \(0.0415568\pi\) | |||||||
\(102\) | 69770.8 | − | 50691.5i | 0.664008 | − | 0.482430i | ||||
\(103\) | 54570.6 | + | 39647.8i | 0.506834 | + | 0.368236i | 0.811621 | − | 0.584184i | \(-0.198585\pi\) |
−0.304787 | + | 0.952420i | \(0.598585\pi\) | |||||||
\(104\) | 24140.4 | + | 74296.4i | 0.218857 | + | 0.673573i | ||||
\(105\) | 46272.1 | + | 142411.i | 0.409587 | + | 1.26058i | ||||
\(106\) | 36142.7 | + | 26259.2i | 0.312432 | + | 0.226995i | ||||
\(107\) | 160498. | − | 116608.i | 1.35522 | − | 0.984624i | 0.356486 | − | 0.934301i | \(-0.383975\pi\) |
0.998733 | − | 0.0503235i | \(-0.0160252\pi\) | |||||||
\(108\) | −9418.89 | + | 28988.4i | −0.0777034 | + | 0.239147i | ||||
\(109\) | −234029. | −1.88670 | −0.943350 | − | 0.331799i | \(-0.892344\pi\) | ||||
−0.943350 | + | 0.331799i | \(0.892344\pi\) | |||||||
\(110\) | 221136. | − | 83325.6i | 1.74252 | − | 0.656593i | ||||
\(111\) | −82972.2 | −0.639183 | ||||||||
\(112\) | −46042.0 | + | 141703.i | −0.346824 | + | 1.06741i | ||||
\(113\) | −158064. | + | 114841.i | −1.16450 | + | 0.846056i | −0.990340 | − | 0.138662i | \(-0.955720\pi\) |
−0.174157 | + | 0.984718i | \(0.555720\pi\) | |||||||
\(114\) | −77730.2 | − | 56474.3i | −0.560180 | − | 0.406995i | ||||
\(115\) | −856.942 | − | 2637.40i | −0.00604236 | − | 0.0185965i | ||||
\(116\) | −7015.19 | − | 21590.5i | −0.0484055 | − | 0.148977i | ||||
\(117\) | 60734.3 | + | 44126.0i | 0.410175 | + | 0.298010i | ||||
\(118\) | −83386.6 | + | 60583.9i | −0.551304 | + | 0.400546i | ||||
\(119\) | −83664.9 | + | 257494.i | −0.541596 | + | 1.66686i | ||||
\(120\) | −51994.7 | −0.329615 | ||||||||
\(121\) | 121004. | − | 106280.i | 0.751338 | − | 0.659917i | ||||
\(122\) | 20611.7 | 0.125376 | ||||||||
\(123\) | 23929.3 | − | 73646.9i | 0.142616 | − | 0.438926i | ||||
\(124\) | −211746. | + | 153842.i | −1.23669 | + | 0.898508i | ||||
\(125\) | −86070.7 | − | 62534.1i | −0.492698 | − | 0.357966i | ||||
\(126\) | −52200.6 | − | 160657.i | −0.292920 | − | 0.901515i | ||||
\(127\) | −40135.3 | − | 123524.i | −0.220809 | − | 0.679581i | −0.998690 | − | 0.0511692i | \(-0.983705\pi\) |
0.777881 | − | 0.628412i | \(-0.216295\pi\) | |||||||
\(128\) | −133092. | − | 96696.8i | −0.718003 | − | 0.521660i | ||||
\(129\) | −16295.0 | + | 11839.0i | −0.0862146 | + | 0.0626386i | ||||
\(130\) | −168648. | + | 519044.i | −0.875230 | + | 2.69368i | ||||
\(131\) | 133081. | 0.677544 | 0.338772 | − | 0.940868i | \(-0.389988\pi\) | ||||
0.338772 | + | 0.940868i | \(0.389988\pi\) | |||||||
\(132\) | −141314. | + | 53248.0i | −0.705910 | + | 0.265992i | ||||
\(133\) | 301632. | 1.47859 | ||||||||
\(134\) | 25955.6 | − | 79883.0i | 0.124873 | − | 0.384320i | ||||
\(135\) | −40423.3 | + | 29369.3i | −0.190896 | + | 0.138694i | ||||
\(136\) | −76057.3 | − | 55258.9i | −0.352609 | − | 0.256186i | ||||
\(137\) | −75443.0 | − | 232190.i | −0.343414 | − | 1.05692i | −0.962427 | − | 0.271539i | \(-0.912467\pi\) |
0.619014 | − | 0.785380i | \(-0.287533\pi\) | |||||||
\(138\) | 966.735 | + | 2975.30i | 0.00432125 | + | 0.0132994i | ||||
\(139\) | 291358. | + | 211684.i | 1.27906 | + | 0.929288i | 0.999524 | − | 0.0308487i | \(-0.00982102\pi\) |
0.279531 | + | 0.960137i | \(0.409821\pi\) | |||||||
\(140\) | 562784. | − | 408886.i | 2.42673 | − | 1.76312i | ||||
\(141\) | 1890.75 | − | 5819.14i | 0.00800916 | − | 0.0246497i | ||||
\(142\) | −65567.6 | −0.272878 | ||||||||
\(143\) | 17175.7 | + | 371543.i | 0.0702384 | + | 1.51939i | ||||
\(144\) | −49717.5 | −0.199803 | ||||||||
\(145\) | 11500.0 | − | 35393.3i | 0.0454231 | − | 0.139798i | ||||
\(146\) | 196954. | − | 143095.i | 0.764684 | − | 0.555575i | ||||
\(147\) | 306663. | + | 222804.i | 1.17049 | + | 0.850412i | ||||
\(148\) | 119114. | + | 366595.i | 0.447000 | + | 1.37573i | ||||
\(149\) | −102713. | − | 316118.i | −0.379017 | − | 1.16650i | −0.940728 | − | 0.339162i | \(-0.889857\pi\) |
0.561711 | − | 0.827334i | \(-0.310143\pi\) | |||||||
\(150\) | −98385.4 | − | 71481.1i | −0.357028 | − | 0.259396i | ||||
\(151\) | −181918. | + | 132171.i | −0.649282 | + | 0.471731i | −0.863026 | − | 0.505159i | \(-0.831434\pi\) |
0.213745 | + | 0.976890i | \(0.431434\pi\) | |||||||
\(152\) | −32365.5 | + | 99610.7i | −0.113625 | + | 0.349701i | ||||
\(153\) | −90343.8 | −0.312011 | ||||||||
\(154\) | 460144. | − | 699086.i | 1.56348 | − | 2.37536i | ||||
\(155\) | −429056. | −1.43445 | ||||||||
\(156\) | 107772. | − | 331688.i | 0.354564 | − | 1.09123i | ||||
\(157\) | 29287.5 | − | 21278.6i | 0.0948272 | − | 0.0688960i | −0.539361 | − | 0.842074i | \(-0.681334\pi\) |
0.634189 | + | 0.773178i | \(0.281334\pi\) | |||||||
\(158\) | 491554. | + | 357135.i | 1.56649 | + | 1.13812i | ||||
\(159\) | −14462.0 | − | 44509.4i | −0.0453665 | − | 0.139624i | ||||
\(160\) | −168818. | − | 519568.i | −0.521337 | − | 1.60451i | ||||
\(161\) | −7945.61 | − | 5772.83i | −0.0241581 | − | 0.0175519i | ||||
\(162\) | 45602.4 | − | 33132.1i | 0.136521 | − | 0.0991885i | ||||
\(163\) | −80652.1 | + | 248222.i | −0.237764 | + | 0.731763i | 0.758979 | + | 0.651116i | \(0.225699\pi\) |
−0.996743 | + | 0.0806473i | \(0.974301\pi\) | |||||||
\(164\) | −359745. | −1.04445 | ||||||||
\(165\) | −238720. | − | 65544.7i | −0.682619 | − | 0.187425i | ||||
\(166\) | −204292. | −0.575414 | ||||||||
\(167\) | 82298.7 | − | 253289.i | 0.228350 | − | 0.702790i | −0.769584 | − | 0.638546i | \(-0.779536\pi\) |
0.997934 | − | 0.0642445i | \(-0.0204638\pi\) | |||||||
\(168\) | −148977. | + | 108238.i | −0.407235 | + | 0.295873i | ||||
\(169\) | −394546. | − | 286654.i | −1.06263 | − | 0.772043i | ||||
\(170\) | −202956. | − | 624635.i | −0.538617 | − | 1.65769i | ||||
\(171\) | 31102.6 | + | 95724.0i | 0.0813404 | + | 0.250340i | ||||
\(172\) | 75701.2 | + | 55000.1i | 0.195111 | + | 0.141756i | ||||
\(173\) | −597169. | + | 433869.i | −1.51699 | + | 1.10216i | −0.554032 | + | 0.832495i | \(0.686912\pi\) |
−0.962955 | + | 0.269661i | \(0.913088\pi\) | |||||||
\(174\) | −12973.4 | + | 39927.9i | −0.0324848 | + | 0.0999778i | ||||
\(175\) | 381784. | 0.942372 | ||||||||
\(176\) | −153833. | − | 192381.i | −0.374342 | − | 0.468146i | ||||
\(177\) | 107974. | 0.259052 | ||||||||
\(178\) | −41050.6 | + | 126341.i | −0.0971112 | + | 0.298877i | ||||
\(179\) | 391868. | − | 284709.i | 0.914128 | − | 0.664153i | −0.0279275 | − | 0.999610i | \(-0.508891\pi\) |
0.942055 | + | 0.335457i | \(0.108891\pi\) | |||||||
\(180\) | 187793. | + | 136440.i | 0.432014 | + | 0.313877i | ||||
\(181\) | 39532.8 | + | 121669.i | 0.0896934 | + | 0.276048i | 0.985834 | − | 0.167721i | \(-0.0536409\pi\) |
−0.896141 | + | 0.443769i | \(0.853641\pi\) | |||||||
\(182\) | 597285. | + | 1.83825e6i | 1.33660 | + | 4.11365i | ||||
\(183\) | −17468.4 | − | 12691.5i | −0.0385590 | − | 0.0280147i | ||||
\(184\) | 2758.99 | − | 2004.52i | 0.00600766 | − | 0.00436482i | ||||
\(185\) | −195263. | + | 600957.i | −0.419459 | + | 1.29096i | ||||
\(186\) | 484028. | 1.02586 | ||||||||
\(187\) | −279537. | − | 349584.i | −0.584569 | − | 0.731051i | ||||
\(188\) | −28424.9 | −0.0586550 | ||||||||
\(189\) | −54683.6 | + | 168299.i | −0.111353 | + | 0.342710i | ||||
\(190\) | −591962. | + | 430086.i | −1.18962 | + | 0.864313i | ||||
\(191\) | −524014. | − | 380719.i | −1.03934 | − | 0.755128i | −0.0691873 | − | 0.997604i | \(-0.522041\pi\) |
−0.970158 | + | 0.242475i | \(0.922041\pi\) | |||||||
\(192\) | 135821. | + | 418015.i | 0.265898 | + | 0.818349i | ||||
\(193\) | −142540. | − | 438693.i | −0.275450 | − | 0.847749i | −0.989100 | − | 0.147246i | \(-0.952959\pi\) |
0.713650 | − | 0.700503i | \(-0.247041\pi\) | |||||||
\(194\) | 401042. | + | 291374.i | 0.765043 | + | 0.555836i | ||||
\(195\) | 462528. | − | 336046.i | 0.871067 | − | 0.632867i | ||||
\(196\) | 544169. | − | 1.67478e6i | 1.01180 | − | 3.11399i | ||||
\(197\) | −144289. | −0.264891 | −0.132446 | − | 0.991190i | \(-0.542283\pi\) | ||||
−0.132446 | + | 0.991190i | \(0.542283\pi\) | |||||||
\(198\) | 269305. | + | 73942.4i | 0.488182 | + | 0.134039i | ||||
\(199\) | 634482. | 1.13576 | 0.567880 | − | 0.823111i | \(-0.307764\pi\) | ||||
0.567880 | + | 0.823111i | \(0.307764\pi\) | |||||||
\(200\) | −40965.9 | + | 126080.i | −0.0724182 | + | 0.222880i | ||||
\(201\) | −71184.9 | + | 51718.9i | −0.124279 | + | 0.0902940i | ||||
\(202\) | 260191. | + | 189040.i | 0.448657 | + | 0.325968i | ||||
\(203\) | −40728.4 | − | 125349.i | −0.0693677 | − | 0.213492i | ||||
\(204\) | 129696. | + | 399164.i | 0.218199 | + | 0.671547i | ||||
\(205\) | −477100. | − | 346634.i | −0.792912 | − | 0.576084i | ||||
\(206\) | −468834. | + | 340628.i | −0.769752 | + | 0.559258i | ||||
\(207\) | 1012.72 | − | 3116.83i | 0.00164272 | − | 0.00505577i | ||||
\(208\) | 568873. | 0.911711 | ||||||||
\(209\) | −274167. | + | 416536.i | −0.434159 | + | 0.659609i | ||||
\(210\) | −1.28646e6 | −2.01302 | ||||||||
\(211\) | −27561.8 | + | 84826.6i | −0.0426189 | + | 0.131167i | −0.970102 | − | 0.242698i | \(-0.921968\pi\) |
0.927483 | + | 0.373865i | \(0.121968\pi\) | |||||||
\(212\) | −175894. | + | 127794.i | −0.268788 | + | 0.195286i | ||||
\(213\) | 55568.6 | + | 40372.9i | 0.0839229 | + | 0.0609735i | ||||
\(214\) | 526689. | + | 1.62098e6i | 0.786176 | + | 2.41960i | ||||
\(215\) | 47400.6 | + | 145884.i | 0.0699339 | + | 0.215235i | ||||
\(216\) | −49711.3 | − | 36117.4i | −0.0724972 | − | 0.0526723i | ||||
\(217\) | −1.22934e6 | + | 893169.i | −1.77224 | + | 1.28761i | ||||
\(218\) | 621315. | − | 1.91221e6i | 0.885463 | − | 2.72518i | ||||
\(219\) | −255028. | −0.359317 | ||||||||
\(220\) | 53108.0 | + | 1.14883e6i | 0.0739781 | + | 1.60029i | ||||
\(221\) | 1.03372e6 | 1.42372 | ||||||||
\(222\) | 220280. | − | 677953.i | 0.299980 | − | 0.923245i | ||||
\(223\) | 607155. | − | 441124.i | 0.817594 | − | 0.594017i | −0.0984284 | − | 0.995144i | \(-0.531382\pi\) |
0.916022 | + | 0.401127i | \(0.131382\pi\) | |||||||
\(224\) | −1.56529e6 | − | 1.13725e6i | −2.08437 | − | 1.51438i | ||||
\(225\) | 39367.5 | + | 121161.i | 0.0518419 | + | 0.159553i | ||||
\(226\) | −518704. | − | 1.59641e6i | −0.675536 | − | 2.07908i | ||||
\(227\) | 676504. | + | 491509.i | 0.871376 | + | 0.633092i | 0.930956 | − | 0.365132i | \(-0.118976\pi\) |
−0.0595796 | + | 0.998224i | \(0.518976\pi\) | |||||||
\(228\) | 378285. | − | 274840.i | 0.481928 | − | 0.350141i | ||||
\(229\) | −57656.6 | + | 177449.i | −0.0726541 | + | 0.223606i | −0.980789 | − | 0.195071i | \(-0.937506\pi\) |
0.908135 | + | 0.418677i | \(0.137506\pi\) | |||||||
\(230\) | 23824.8 | 0.0296968 | ||||||||
\(231\) | −820430. | + | 309144.i | −1.01161 | + | 0.381181i | ||||
\(232\) | 45765.5 | 0.0558236 | ||||||||
\(233\) | −399106. | + | 1.22832e6i | −0.481613 | + | 1.48225i | 0.355215 | + | 0.934785i | \(0.384408\pi\) |
−0.836827 | + | 0.547467i | \(0.815592\pi\) | |||||||
\(234\) | −521788. | + | 379101.i | −0.622952 | + | 0.452601i | ||||
\(235\) | −37697.6 | − | 27388.9i | −0.0445292 | − | 0.0323523i | ||||
\(236\) | −155007. | − | 477061.i | −0.181163 | − | 0.557563i | ||||
\(237\) | −196688. | − | 605344.i | −0.227461 | − | 0.700054i | ||||
\(238\) | −1.88182e6 | − | 1.36722e6i | −2.15346 | − | 1.56458i | ||||
\(239\) | 1.21302e6 | − | 881313.i | 1.37364 | − | 0.998011i | 0.376202 | − | 0.926538i | \(-0.377230\pi\) |
0.997443 | − | 0.0714733i | \(-0.0227701\pi\) | |||||||
\(240\) | −117003. | + | 360097.i | −0.131120 | + | 0.403545i | ||||
\(241\) | 441931. | 0.490130 | 0.245065 | − | 0.969507i | \(-0.421191\pi\) | ||||
0.245065 | + | 0.969507i | \(0.421191\pi\) | |||||||
\(242\) | 547151. | + | 1.27086e6i | 0.600577 | + | 1.39495i | ||||
\(243\) | −59049.0 | −0.0641500 | ||||||||
\(244\) | −30997.4 | + | 95400.1i | −0.0333312 | + | 0.102583i | ||||
\(245\) | 2.33542e6 | − | 1.69678e6i | 2.48571 | − | 1.80597i | ||||
\(246\) | 538228. | + | 391045.i | 0.567059 | + | 0.411992i | ||||
\(247\) | −355879. | − | 1.09528e6i | −0.371159 | − | 1.14231i | ||||
\(248\) | −163050. | − | 501816.i | −0.168341 | − | 0.518102i | ||||
\(249\) | 173137. | + | 125792.i | 0.176967 | + | 0.128574i | ||||
\(250\) | 739462. | − | 537251.i | 0.748283 | − | 0.543659i | ||||
\(251\) | 196781. | − | 605630.i | 0.197151 | − | 0.606769i | −0.802794 | − | 0.596257i | \(-0.796654\pi\) |
0.999945 | − | 0.0105118i | \(-0.00334608\pi\) | |||||||
\(252\) | 822096. | 0.815494 | ||||||||
\(253\) | 15194.1 | − | 5725.24i | 0.0149236 | − | 0.00562331i | ||||
\(254\) | 1.11585e6 | 1.08523 | ||||||||
\(255\) | −212611. | + | 654348.i | −0.204755 | + | 0.630171i | ||||
\(256\) | −120866. | + | 87814.0i | −0.115266 | + | 0.0837459i | ||||
\(257\) | 1.14461e6 | + | 831609.i | 1.08100 | + | 0.785392i | 0.977857 | − | 0.209275i | \(-0.0671103\pi\) |
0.103142 | + | 0.994667i | \(0.467110\pi\) | |||||||
\(258\) | −53473.7 | − | 164575.i | −0.0500139 | − | 0.153927i | ||||
\(259\) | 691544. | + | 2.12835e6i | 0.640576 | + | 1.97149i | ||||
\(260\) | −2.14875e6 | − | 1.56116e6i | −1.97130 | − | 1.43223i | ||||
\(261\) | 35580.3 | − | 25850.6i | 0.0323302 | − | 0.0234893i | ||||
\(262\) | −353312. | + | 1.08738e6i | −0.317984 | + | 0.978654i | ||||
\(263\) | −213952. | −0.190734 | −0.0953668 | − | 0.995442i | \(-0.530402\pi\) | ||||
−0.0953668 | + | 0.995442i | \(0.530402\pi\) | |||||||
\(264\) | −14058.4 | − | 304110.i | −0.0124144 | − | 0.268547i | ||||
\(265\) | −356410. | −0.311770 | ||||||||
\(266\) | −800792. | + | 2.46458e6i | −0.693930 | + | 2.13570i | ||||
\(267\) | 112584. | − | 81797.0i | 0.0966492 | − | 0.0702198i | ||||
\(268\) | 330701. | + | 240268.i | 0.281254 | + | 0.204343i | ||||
\(269\) | −307552. | − | 946546.i | −0.259142 | − | 0.797556i | −0.992985 | − | 0.118238i | \(-0.962276\pi\) |
0.733844 | − | 0.679318i | \(-0.237724\pi\) | |||||||
\(270\) | −132653. | − | 408264.i | −0.110741 | − | 0.340825i | ||||
\(271\) | 1.09169e6 | + | 793157.i | 0.902974 | + | 0.656049i | 0.939228 | − | 0.343294i | \(-0.111543\pi\) |
−0.0362544 | + | 0.999343i | \(0.511543\pi\) | |||||||
\(272\) | −553854. | + | 402398.i | −0.453913 | + | 0.329787i | ||||
\(273\) | 625696. | − | 1.92570e6i | 0.508109 | − | 1.56380i | ||||
\(274\) | 2.09748e6 | 1.68780 | ||||||||
\(275\) | −347021. | + | 527221.i | −0.276709 | + | 0.420398i | ||||
\(276\) | −15224.9 | −0.0120304 | ||||||||
\(277\) | −563446. | + | 1.73411e6i | −0.441218 | + | 1.35793i | 0.445361 | + | 0.895351i | \(0.353075\pi\) |
−0.886579 | + | 0.462577i | \(0.846925\pi\) | |||||||
\(278\) | −2.50315e6 | + | 1.81864e6i | −1.94256 | + | 1.41135i | ||||
\(279\) | −410214. | − | 298038.i | −0.315500 | − | 0.229224i | ||||
\(280\) | 433358. | + | 1.33374e6i | 0.330333 | + | 1.01666i | ||||
\(281\) | −499967. | − | 1.53874e6i | −0.377725 | − | 1.16252i | −0.941622 | − | 0.336672i | \(-0.890699\pi\) |
0.563897 | − | 0.825845i | \(-0.309301\pi\) | |||||||
\(282\) | 42527.5 | + | 30898.1i | 0.0318455 | + | 0.0231371i | ||||
\(283\) | 9505.69 | − | 6906.29i | 0.00705533 | − | 0.00512600i | −0.584252 | − | 0.811572i | \(-0.698612\pi\) |
0.591307 | + | 0.806446i | \(0.298612\pi\) | |||||||
\(284\) | 98605.5 | − | 303477.i | 0.0725447 | − | 0.223269i | ||||
\(285\) | 766511. | 0.558993 | ||||||||
\(286\) | −3.08142e6 | − | 846058.i | −2.22759 | − | 0.611624i | ||||
\(287\) | −2.08859e6 | −1.49675 | ||||||||
\(288\) | 199506. | − | 614017.i | 0.141734 | − | 0.436214i | ||||
\(289\) | 142257. | − | 103356.i | 0.100191 | − | 0.0727932i | ||||
\(290\) | 258662. | + | 187929.i | 0.180608 | + | 0.131219i | ||||
\(291\) | −160471. | − | 493879.i | −0.111087 | − | 0.341892i | ||||
\(292\) | 366116. | + | 1.12679e6i | 0.251282 | + | 0.773366i | ||||
\(293\) | −182591. | − | 132660.i | −0.124254 | − | 0.0902756i | 0.523923 | − | 0.851766i | \(-0.324468\pi\) |
−0.648176 | + | 0.761490i | \(0.724468\pi\) | |||||||
\(294\) | −2.63464e6 | + | 1.91418e6i | −1.77768 | + | 1.29156i | ||||
\(295\) | 254101. | − | 782044.i | 0.170001 | − | 0.523210i | ||||
\(296\) | −777070. | −0.515503 | ||||||||
\(297\) | −182706. | − | 228490.i | −0.120188 | − | 0.150306i | ||||
\(298\) | 2.85564e6 | 1.86278 | ||||||||
\(299\) | −11587.7 | + | 35663.2i | −0.00749580 | + | 0.0230697i | ||||
\(300\) | 478806. | − | 347873.i | 0.307154 | − | 0.223161i | ||||
\(301\) | 439501. | + | 319317.i | 0.279604 | + | 0.203145i | ||||
\(302\) | −596981. | − | 1.83732e6i | −0.376655 | − | 1.15922i | ||||
\(303\) | −104112. | − | 320423.i | −0.0651468 | − | 0.200501i | ||||
\(304\) | 617037. | + | 448304.i | 0.382937 | + | 0.278220i | ||||
\(305\) | −133032. | + | 96653.6i | −0.0818856 | + | 0.0594934i | ||||
\(306\) | 239851. | − | 738184.i | 0.146432 | − | 0.450673i | ||||
\(307\) | −2.72970e6 | −1.65298 | −0.826492 | − | 0.562949i | \(-0.809667\pi\) | ||||
−0.826492 | + | 0.562949i | \(0.809667\pi\) | |||||||
\(308\) | 2.54369e6 | + | 3.18109e6i | 1.52787 | + | 1.91073i | ||||
\(309\) | 607076. | 0.361699 | ||||||||
\(310\) | 1.13909e6 | − | 3.50575e6i | 0.673213 | − | 2.07194i | ||||
\(311\) | −829760. | + | 602856.i | −0.486465 | + | 0.353437i | −0.803823 | − | 0.594868i | \(-0.797204\pi\) |
0.317358 | + | 0.948306i | \(0.397204\pi\) | |||||||
\(312\) | 568803. | + | 413259.i | 0.330807 | + | 0.240346i | ||||
\(313\) | 369434. | + | 1.13700e6i | 0.213145 | + | 0.655994i | 0.999280 | + | 0.0379390i | \(0.0120793\pi\) |
−0.786135 | + | 0.618055i | \(0.787921\pi\) | |||||||
\(314\) | 96109.6 | + | 295795.i | 0.0550102 | + | 0.169304i | ||||
\(315\) | 1.09028e6 | + | 792133.i | 0.619100 | + | 0.449802i | ||||
\(316\) | −2.39222e6 | + | 1.73805e6i | −1.34767 | + | 0.979139i | ||||
\(317\) | 146042. | − | 449472.i | 0.0816264 | − | 0.251220i | −0.901912 | − | 0.431920i | \(-0.857836\pi\) |
0.983538 | + | 0.180700i | \(0.0578363\pi\) | |||||||
\(318\) | 402074. | 0.222966 | ||||||||
\(319\) | 210120. | + | 57692.1i | 0.115609 | + | 0.0317424i | ||||
\(320\) | 3.34726e6 | 1.82732 | ||||||||
\(321\) | 551742. | − | 1.69809e6i | 0.298864 | − | 0.919809i | ||||
\(322\) | 68263.4 | − | 49596.2i | 0.0366900 | − | 0.0266569i | ||||
\(323\) | 1.12124e6 | + | 814632.i | 0.597990 | + | 0.434465i | ||||
\(324\) | 84770.0 | + | 260895.i | 0.0448621 | + | 0.138071i | ||||
\(325\) | −450447. | − | 1.38633e6i | −0.236557 | − | 0.728046i | ||||
\(326\) | −1.81406e6 | − | 1.31799e6i | −0.945381 | − | 0.686860i | ||||
\(327\) | −1.70400e6 | + | 1.23803e6i | −0.881252 | + | 0.640267i | ||||
\(328\) | 224108. | − | 689735.i | 0.115020 | − | 0.353995i | ||||
\(329\) | −165028. | −0.0840558 | ||||||||
\(330\) | 1.16932e6 | − | 1.77653e6i | 0.591085 | − | 0.898023i | ||||
\(331\) | −2.42829e6 | −1.21823 | −0.609116 | − | 0.793081i | \(-0.708476\pi\) | ||||
−0.609116 | + | 0.793081i | \(0.708476\pi\) | |||||||
\(332\) | 307229. | − | 945554.i | 0.152974 | − | 0.470805i | ||||
\(333\) | −604133. | + | 438929.i | −0.298554 | + | 0.216912i | ||||
\(334\) | 1.85109e6 | + | 1.34490e6i | 0.907951 | + | 0.659665i | ||||
\(335\) | 207070. | + | 637295.i | 0.100810 | + | 0.310262i | ||||
\(336\) | 414378. | + | 1.27532e6i | 0.200239 | + | 0.616272i | ||||
\(337\) | 421009. | + | 305881.i | 0.201937 | + | 0.146716i | 0.684158 | − | 0.729334i | \(-0.260170\pi\) |
−0.482221 | + | 0.876050i | \(0.660170\pi\) | |||||||
\(338\) | 3.38967e6 | − | 2.46274e6i | 1.61386 | − | 1.17254i | ||||
\(339\) | −543377. | + | 1.67234e6i | −0.256804 | + | 0.790362i | ||||
\(340\) | 3.19632e6 | 1.49952 | ||||||||
\(341\) | −116009. | − | 2.50949e6i | −0.0540263 | − | 1.16869i | ||||
\(342\) | −864719. | −0.399769 | ||||||||
\(343\) | 1.89858e6 | − | 5.84323e6i | 0.871352 | − | 2.68174i | ||||
\(344\) | −152610. | + | 110878.i | −0.0695324 | + | 0.0505182i | ||||
\(345\) | −20191.5 | − | 14670.0i | −0.00913317 | − | 0.00663563i | ||||
\(346\) | −1.95967e6 | − | 6.03124e6i | −0.880019 | − | 2.70842i | ||||
\(347\) | −127858. | − | 393507.i | −0.0570039 | − | 0.175440i | 0.918501 | − | 0.395420i | \(-0.129401\pi\) |
−0.975504 | + | 0.219980i | \(0.929401\pi\) | |||||||
\(348\) | −165294. | − | 120093.i | −0.0731660 | − | 0.0531582i | ||||
\(349\) | −3.07807e6 | + | 2.23635e6i | −1.35274 | + | 0.982825i | −0.353873 | + | 0.935293i | \(0.615136\pi\) |
−0.998870 | + | 0.0475318i | \(0.984864\pi\) | |||||||
\(350\) | −1.01359e6 | + | 3.11949e6i | −0.442273 | + | 1.36118i | ||||
\(351\) | 675645. | 0.292719 | ||||||||
\(352\) | 2.99324e6 | − | 1.12787e6i | 1.28761 | − | 0.485181i | ||||
\(353\) | 1.74031e6 | 0.743343 | 0.371671 | − | 0.928364i | \(-0.378785\pi\) | ||||
0.371671 | + | 0.928364i | \(0.378785\pi\) | |||||||
\(354\) | −286657. | + | 882241.i | −0.121578 | + | 0.374179i | ||||
\(355\) | 423188. | − | 307464.i | 0.178223 | − | 0.129486i | ||||
\(356\) | −523027. | − | 380001.i | −0.218725 | − | 0.158913i | ||||
\(357\) | 752984. | + | 2.31745e6i | 0.312691 | + | 0.962363i | ||||
\(358\) | 1.28595e6 | + | 3.95775e6i | 0.530294 | + | 1.63208i | ||||
\(359\) | −571532. | − | 415243.i | −0.234048 | − | 0.170046i | 0.464580 | − | 0.885531i | \(-0.346205\pi\) |
−0.698627 | + | 0.715486i | \(0.746205\pi\) | |||||||
\(360\) | −378582. | + | 275056.i | −0.153958 | + | 0.111857i | ||||
\(361\) | −288022. | + | 886440.i | −0.116321 | + | 0.357999i | ||||
\(362\) | −1.09909e6 | −0.440822 | ||||||||
\(363\) | 318817. | − | 1.41396e6i | 0.126991 | − | 0.563211i | ||||
\(364\) | −9.40651e6 | −3.72113 | ||||||||
\(365\) | −600171. | + | 1.84714e6i | −0.235800 | + | 0.725716i | ||||
\(366\) | 150077. | − | 109037.i | 0.0585613 | − | 0.0425473i | ||||
\(367\) | 1.72998e6 | + | 1.25690e6i | 0.670464 | + | 0.487121i | 0.870181 | − | 0.492733i | \(-0.164002\pi\) |
−0.199716 | + | 0.979854i | \(0.564002\pi\) | |||||||
\(368\) | −7674.12 | − | 23618.5i | −0.00295399 | − | 0.00909145i | ||||
\(369\) | −215364. | − | 662822.i | −0.0823393 | − | 0.253414i | ||||
\(370\) | −4.39192e6 | − | 3.19092e6i | −1.66782 | − | 1.21175i | ||||
\(371\) | −1.02119e6 | + | 741940.i | −0.385188 | + | 0.279856i | ||||
\(372\) | −727918. | + | 2.24030e6i | −0.272725 | + | 0.839361i | ||||
\(373\) | −1.11222e6 | −0.413923 | −0.206961 | − | 0.978349i | \(-0.566357\pi\) | ||||
−0.206961 | + | 0.978349i | \(0.566357\pi\) | |||||||
\(374\) | 3.59853e6 | − | 1.35595e6i | 1.33029 | − | 0.501263i | ||||
\(375\) | −957504. | −0.351611 | ||||||||
\(376\) | 17707.7 | − | 54498.7i | 0.00645941 | − | 0.0198800i | ||||
\(377\) | −407114. | + | 295786.i | −0.147524 | + | 0.107183i | ||||
\(378\) | −1.22997e6 | − | 893622.i | −0.442755 | − | 0.321680i | ||||
\(379\) | 57461.2 | + | 176847.i | 0.0205483 | + | 0.0632412i | 0.960805 | − | 0.277226i | \(-0.0894149\pi\) |
−0.940257 | + | 0.340467i | \(0.889415\pi\) | |||||||
\(380\) | −1.10039e6 | − | 3.38666e6i | −0.390921 | − | 1.20313i | ||||
\(381\) | −945681. | − | 687077.i | −0.333758 | − | 0.242490i | ||||
\(382\) | 4.50198e6 | − | 3.27088e6i | 1.57850 | − | 1.14685i | ||||
\(383\) | −340027. | + | 1.04649e6i | −0.118445 | + | 0.364536i | −0.992650 | − | 0.121021i | \(-0.961383\pi\) |
0.874205 | + | 0.485557i | \(0.161383\pi\) | |||||||
\(384\) | −1.48059e6 | −0.512399 | ||||||||
\(385\) | 308331. | + | 6.66979e6i | 0.106015 | + | 2.29330i | ||||
\(386\) | 3.96291e6 | 1.35377 | ||||||||
\(387\) | −56017.3 | + | 172404.i | −0.0190128 | + | 0.0585153i | ||||
\(388\) | −1.95173e6 | + | 1.41801e6i | −0.658173 | + | 0.478191i | ||||
\(389\) | 1.67883e6 | + | 1.21974e6i | 0.562513 | + | 0.408690i | 0.832378 | − | 0.554208i | \(-0.186979\pi\) |
−0.269865 | + | 0.962898i | \(0.586979\pi\) | |||||||
\(390\) | 1.51783e6 | + | 4.67140e6i | 0.505314 | + | 1.55520i | ||||
\(391\) | −13945.0 | − | 42918.2i | −0.00461292 | − | 0.0141971i | ||||
\(392\) | 2.87203e6 | + | 2.08665e6i | 0.944005 | + | 0.685860i | ||||
\(393\) | 968983. | − | 704007.i | 0.316472 | − | 0.229930i | ||||
\(394\) | 383068. | − | 1.17896e6i | 0.124318 | − | 0.382612i | ||||
\(395\) | −4.84730e6 | −1.56317 | ||||||||
\(396\) | −747240. | + | 1.13527e6i | −0.239454 | + | 0.363797i | ||||
\(397\) | −322459. | −0.102683 | −0.0513415 | − | 0.998681i | \(-0.516350\pi\) | ||||
−0.0513415 | + | 0.998681i | \(0.516350\pi\) | |||||||
\(398\) | −1.68446e6 | + | 5.18425e6i | −0.533033 | + | 1.64051i | ||||
\(399\) | 2.19623e6 | − | 1.59565e6i | 0.690629 | − | 0.501771i | ||||
\(400\) | 781001. | + | 567431.i | 0.244063 | + | 0.177322i | ||||
\(401\) | 614225. | + | 1.89039e6i | 0.190751 | + | 0.587071i | 1.00000 | 0.000394646i | \(-0.000125620\pi\) | |
−0.809249 | + | 0.587466i | \(0.800126\pi\) | |||||||
\(402\) | −233600. | − | 718947.i | −0.0720955 | − | 0.221887i | ||||
\(403\) | 4.69371e6 | + | 3.41018e6i | 1.43964 | + | 1.04596i | ||||
\(404\) | −1.26626e6 | + | 919990.i | −0.385983 | + | 0.280433i | ||||
\(405\) | −138963. | + | 427684.i | −0.0420980 | + | 0.129564i | ||||
\(406\) | 1.13234e6 | 0.340926 | ||||||||
\(407\) | −3.56771e6 | − | 979577.i | −1.06759 | − | 0.293125i | ||||
\(408\) | −846108. | −0.251638 | ||||||||
\(409\) | 1.47525e6 | − | 4.54035e6i | 0.436071 | − | 1.34209i | −0.455914 | − | 0.890024i | \(-0.650688\pi\) |
0.891985 | − | 0.452065i | \(-0.149312\pi\) | |||||||
\(410\) | 4.09893e6 | − | 2.97804e6i | 1.20423 | − | 0.874926i | ||||
\(411\) | −1.77761e6 | − | 1.29151e6i | −0.519078 | − | 0.377132i | ||||
\(412\) | −871511. | − | 2.68224e6i | −0.252947 | − | 0.778492i | ||||
\(413\) | −899928. | − | 2.76969e6i | −0.259617 | − | 0.799018i | ||||
\(414\) | 22778.5 | + | 16549.6i | 0.00653167 | + | 0.00474554i | ||||
\(415\) | 1.31854e6 | − | 957978.i | 0.375815 | − | 0.273046i | ||||
\(416\) | −2.28277e6 | + | 7.02565e6i | −0.646740 | + | 1.99046i | ||||
\(417\) | 3.24124e6 | 0.912790 | ||||||||
\(418\) | −2.67557e6 | − | 3.34602e6i | −0.748989 | − | 0.936673i | ||||
\(419\) | 5.83487e6 | 1.62366 | 0.811831 | − | 0.583892i | \(-0.198471\pi\) | ||||
0.811831 | + | 0.583892i | \(0.198471\pi\) | |||||||
\(420\) | 1.93468e6 | − | 5.95433e6i | 0.535162 | − | 1.64706i | ||||
\(421\) | −23921.2 | + | 17379.8i | −0.00657776 | + | 0.00477902i | −0.591069 | − | 0.806621i | \(-0.701294\pi\) |
0.584492 | + | 0.811400i | \(0.301294\pi\) | |||||||
\(422\) | −619931. | − | 450406.i | −0.169458 | − | 0.123119i | ||||
\(423\) | −17016.8 | − | 52372.2i | −0.00462409 | − | 0.0142315i | ||||
\(424\) | −135443. | − | 416850.i | −0.0365882 | − | 0.112607i | ||||
\(425\) | 1.41919e6 | + | 1.03110e6i | 0.381126 | + | 0.276904i | ||||
\(426\) | −477408. | + | 346857.i | −0.127458 | + | 0.0926033i | ||||
\(427\) | −179963. | + | 553869.i | −0.0477654 | + | 0.147007i | ||||
\(428\) | −8.29471e6 | −2.18873 | ||||||||
\(429\) | 2.09055e6 | + | 2.61440e6i | 0.548424 | + | 0.685850i | ||||
\(430\) | −1.31784e6 | −0.343709 | ||||||||
\(431\) | −1.48857e6 | + | 4.58134e6i | −0.385989 | + | 1.18795i | 0.549771 | + | 0.835315i | \(0.314715\pi\) |
−0.935760 | + | 0.352637i | \(0.885285\pi\) | |||||||
\(432\) | −362001. | + | 263009.i | −0.0933254 | + | 0.0678049i | ||||
\(433\) | 2.78818e6 | + | 2.02573e6i | 0.714662 | + | 0.519233i | 0.884674 | − | 0.466209i | \(-0.154381\pi\) |
−0.170012 | + | 0.985442i | \(0.554381\pi\) | |||||||
\(434\) | −4.03420e6 | − | 1.24160e7i | −1.02810 | − | 3.16415i | ||||
\(435\) | −103500. | − | 318539.i | −0.0262250 | − | 0.0807123i | ||||
\(436\) | 7.91620e6 | + | 5.75145e6i | 1.99435 | + | 1.44898i | ||||
\(437\) | −40673.3 | + | 29550.9i | −0.0101884 | + | 0.00740230i | ||||
\(438\) | 677066. | − | 2.08380e6i | 0.168634 | − | 0.519003i | ||||
\(439\) | −5.75405e6 | −1.42499 | −0.712495 | − | 0.701677i | \(-0.752435\pi\) | ||||
−0.712495 | + | 0.701677i | \(0.752435\pi\) | |||||||
\(440\) | −2.23571e6 | − | 613854.i | −0.550534 | − | 0.151159i | ||||
\(441\) | 3.41151e6 | 0.835314 | ||||||||
\(442\) | −2.74440e6 | + | 8.44639e6i | −0.668177 | + | 2.05644i | ||||
\(443\) | −3.85328e6 | + | 2.79957e6i | −0.932871 | + | 0.677770i | −0.946694 | − | 0.322134i | \(-0.895600\pi\) |
0.0138233 | + | 0.999904i | \(0.495600\pi\) | |||||||
\(444\) | 2.80660e6 | + | 2.03911e6i | 0.675651 | + | 0.490889i | ||||
\(445\) | −327496. | − | 1.00793e6i | −0.0783981 | − | 0.241284i | ||||
\(446\) | 1.99244e6 | + | 6.13209e6i | 0.474294 | + | 1.45973i | ||||
\(447\) | −2.42015e6 | − | 1.75834e6i | −0.572893 | − | 0.416231i | ||||
\(448\) | 9.59065e6 | − | 6.96801e6i | 2.25763 | − | 1.64026i | ||||
\(449\) | 2.16639e6 | − | 6.66745e6i | 0.507131 | − | 1.56079i | −0.290028 | − | 0.957018i | \(-0.593665\pi\) |
0.797159 | − | 0.603770i | \(-0.206335\pi\) | |||||||
\(450\) | −1.09450e6 | −0.254791 | ||||||||
\(451\) | 1.89841e6 | − | 2.88422e6i | 0.439491 | − | 0.667708i | ||||
\(452\) | 8.16895e6 | 1.88070 | ||||||||
\(453\) | −625378. | + | 1.92472e6i | −0.143185 | + | 0.440678i | ||||
\(454\) | −5.81207e6 | + | 4.22272e6i | −1.32340 | + | 0.961506i | ||||
\(455\) | −1.24751e7 | − | 9.06367e6i | −2.82497 | − | 2.05246i | ||||
\(456\) | 291289. | + | 896496.i | 0.0656013 | + | 0.201900i | ||||
\(457\) | −2.13691e6 | − | 6.57673e6i | −0.478625 | − | 1.47306i | −0.841005 | − | 0.541027i | \(-0.818036\pi\) |
0.362380 | − | 0.932031i | \(-0.381964\pi\) | |||||||
\(458\) | −1.29683e6 | − | 942205.i | −0.288882 | − | 0.209885i | ||||
\(459\) | −657807. | + | 477925.i | −0.145736 | + | 0.105883i | ||||
\(460\) | −35829.5 | + | 110272.i | −0.00789490 | + | 0.0242980i | ||||
\(461\) | 4.06231e6 | 0.890267 | 0.445134 | − | 0.895464i | \(-0.353156\pi\) | ||||
0.445134 | + | 0.895464i | \(0.353156\pi\) | |||||||
\(462\) | −347835. | − | 7.52434e6i | −0.0758174 | − | 1.64007i | ||||
\(463\) | −6.39084e6 | −1.38550 | −0.692748 | − | 0.721179i | \(-0.743600\pi\) | ||||
−0.692748 | + | 0.721179i | \(0.743600\pi\) | |||||||
\(464\) | 102985. | − | 316955.i | 0.0222064 | − | 0.0683444i | ||||
\(465\) | −3.12402e6 | + | 2.26974e6i | −0.670011 | + | 0.486792i | ||||
\(466\) | −8.97684e6 | − | 6.52205e6i | −1.91495 | − | 1.39130i | ||||
\(467\) | 2.09813e6 | + | 6.45739e6i | 0.445185 | + | 1.37014i | 0.882280 | + | 0.470724i | \(0.156007\pi\) |
−0.437095 | + | 0.899415i | \(0.643993\pi\) | |||||||
\(468\) | −969948. | − | 2.98519e6i | −0.204707 | − | 0.630025i | ||||
\(469\) | 1.91996e6 | + | 1.39494e6i | 0.403052 | + | 0.292834i | ||||
\(470\) | 323873. | − | 235307.i | 0.0676285 | − | 0.0491350i | ||||
\(471\) | 100681. | − | 309865.i | 0.0209121 | − | 0.0643607i | ||||
\(472\) | 1.01123e6 | 0.208926 | ||||||||
\(473\) | −840440. | + | 316684.i | −0.172725 | + | 0.0650839i | ||||
\(474\) | 5.46835e6 | 1.11792 | ||||||||
\(475\) | 603923. | − | 1.85868e6i | 0.122814 | − | 0.377983i | ||||
\(476\) | 9.15816e6 | − | 6.65379e6i | 1.85264 | − | 1.34602i | ||||
\(477\) | −340758. | − | 247575.i | −0.0685724 | − | 0.0498208i | ||||
\(478\) | 3.98065e6 | + | 1.22512e7i | 0.796864 | + | 2.45250i | ||||
\(479\) | 72621.9 | + | 223507.i | 0.0144620 | + | 0.0445095i | 0.958027 | − | 0.286678i | \(-0.0925509\pi\) |
−0.943565 | + | 0.331187i | \(0.892551\pi\) | |||||||
\(480\) | −3.97774e6 | − | 2.89000e6i | −0.788012 | − | 0.572524i | ||||
\(481\) | 6.91256e6 | − | 5.02227e6i | 1.36231 | − | 0.989777i | ||||
\(482\) | −1.17327e6 | + | 3.61094e6i | −0.230027 | + | 0.707951i | ||||
\(483\) | −88391.9 | −0.0172403 | ||||||||
\(484\) | −6.70497e6 | + | 621243.i | −1.30102 | + | 0.120545i | ||||
\(485\) | −3.95475e6 | −0.763421 | ||||||||
\(486\) | 156767. | − | 482480.i | 0.0301068 | − | 0.0926592i | ||||
\(487\) | 7.10321e6 | − | 5.16078e6i | 1.35716 | − | 0.986037i | 0.358543 | − | 0.933513i | \(-0.383273\pi\) |
0.998620 | − | 0.0525237i | \(-0.0167265\pi\) | |||||||
\(488\) | −163599. | − | 118862.i | −0.0310979 | − | 0.0225940i | ||||
\(489\) | 725869. | + | 2.23399e6i | 0.137273 | + | 0.422484i | ||||
\(490\) | 7.66392e6 | + | 2.35871e7i | 1.44198 | + | 4.43797i | ||||
\(491\) | 3.08650e6 | + | 2.24247e6i | 0.577780 | + | 0.419782i | 0.837923 | − | 0.545789i | \(-0.183770\pi\) |
−0.260143 | + | 0.965570i | \(0.583770\pi\) | |||||||
\(492\) | −2.61936e6 | + | 1.90308e6i | −0.487846 | + | 0.354441i | ||||
\(493\) | 187138. | − | 575953.i | 0.0346773 | − | 0.106726i | ||||
\(494\) | 9.89420e6 | 1.82416 | ||||||||
\(495\) | −2.08489e6 | + | 785603.i | −0.382446 | + | 0.144109i | ||||
\(496\) | −3.84230e6 | −0.701274 | ||||||||
\(497\) | 572478. | − | 1.76191e6i | 0.103960 | − | 0.319957i | ||||
\(498\) | −1.48748e6 | + | 1.08072e6i | −0.268768 | + | 0.195271i | ||||
\(499\) | 5.35146e6 | + | 3.88806e6i | 0.962101 | + | 0.699007i | 0.953638 | − | 0.300957i | \(-0.0973061\pi\) |
0.00846312 | + | 0.999964i | \(0.497306\pi\) | |||||||
\(500\) | 1.37458e6 | + | 4.23052e6i | 0.245892 | + | 0.756779i | ||||
\(501\) | −740688. | − | 2.27960e6i | −0.131838 | − | 0.405756i | ||||
\(502\) | 4.42608e6 | + | 3.21573e6i | 0.783899 | + | 0.569536i | ||||
\(503\) | 7.90542e6 | − | 5.74362e6i | 1.39317 | − | 1.01220i | 0.397664 | − | 0.917531i | \(-0.369821\pi\) |
0.995509 | − | 0.0946680i | \(-0.0301790\pi\) | |||||||
\(504\) | −512136. | + | 1.57619e6i | −0.0898067 | + | 0.276397i | ||||
\(505\) | −2.56579e6 | −0.447706 | ||||||||
\(506\) | 6441.78 | + | 139348.i | 0.00111848 | + | 0.0241949i | ||||
\(507\) | −4.38917e6 | −0.758337 | ||||||||
\(508\) | −1.67809e6 | + | 5.16464e6i | −0.288508 | + | 0.887935i | ||||
\(509\) | 7.34117e6 | − | 5.33367e6i | 1.25595 | − | 0.912498i | 0.257395 | − | 0.966306i | \(-0.417136\pi\) |
0.998551 | + | 0.0538080i | \(0.0171359\pi\) | |||||||
\(510\) | −4.78212e6 | − | 3.47441e6i | −0.814132 | − | 0.591502i | ||||
\(511\) | 2.12557e6 | + | 6.54184e6i | 0.360100 | + | 1.10828i | ||||
\(512\) | −2.02340e6 | − | 6.22739e6i | −0.341120 | − | 1.04986i | ||||
\(513\) | 732849. | + | 532446.i | 0.122948 | + | 0.0893269i | ||||
\(514\) | −9.83373e6 | + | 7.14463e6i | −1.64176 | + | 1.19281i | ||||
\(515\) | 1.42866e6 | − | 4.39697e6i | 0.237362 | − | 0.730526i | ||||
\(516\) | 842146. | 0.139240 | ||||||||
\(517\) | 150001. | − | 227894.i | 0.0246814 | − | 0.0374978i | ||||
\(518\) | −1.92264e7 | −3.14828 | ||||||||
\(519\) | −2.05288e6 | + | 6.31813e6i | −0.334538 | + | 1.02960i | ||||
\(520\) | 4.33177e6 | − | 3.14722e6i | 0.702518 | − | 0.510409i | ||||
\(521\) | −705377. | − | 512487.i | −0.113848 | − | 0.0827158i | 0.529404 | − | 0.848370i | \(-0.322416\pi\) |
−0.643253 | + | 0.765654i | \(0.722416\pi\) | |||||||
\(522\) | 116760. | + | 359351.i | 0.0187551 | + | 0.0577222i | ||||
\(523\) | −2.12948e6 | − | 6.55385e6i | −0.340423 | − | 1.04771i | −0.963989 | − | 0.265943i | \(-0.914317\pi\) |
0.623566 | − | 0.781771i | \(-0.285683\pi\) | |||||||
\(524\) | −4.50156e6 | − | 3.27058e6i | −0.716201 | − | 0.520351i | ||||
\(525\) | 2.77983e6 | − | 2.01966e6i | 0.440169 | − | 0.319801i | ||||
\(526\) | 568014. | − | 1.74817e6i | 0.0895148 | − | 0.275498i | ||||
\(527\) | −6.98202e6 | −1.09510 | ||||||||
\(528\) | −2.13779e6 | − | 586969.i | −0.333719 | − | 0.0916285i | ||||
\(529\) | −6.43471e6 | −0.999746 | ||||||||
\(530\) | 946220. | − | 2.91217e6i | 0.146320 | − | 0.450325i | ||||
\(531\) | 786178. | − | 571192.i | 0.121000 | − | 0.0879114i | ||||
\(532\) | −1.02029e7 | − | 7.41285e6i | −1.56295 | − | 1.13555i | ||||
\(533\) | 2.46422e6 | + | 7.58408e6i | 0.375717 | + | 1.15634i | ||||
\(534\) | 369455. | + | 1.13707e6i | 0.0560672 | + | 0.172557i | ||||
\(535\) | −1.10006e7 | − | 7.99239e6i | −1.66162 | − | 1.20724i | ||||
\(536\) | −666677. | + | 484369.i | −0.100231 | + | 0.0728224i | ||||
\(537\) | 1.34712e6 | − | 4.14601e6i | 0.201591 | − | 0.620433i | ||||
\(538\) | 8.55058e6 | 1.27362 | ||||||||
\(539\) | 1.05557e7 | + | 1.32008e7i | 1.56501 | + | 1.95717i | ||||
\(540\) | 2.08912e6 | 0.308304 | ||||||||
\(541\) | −599827. | + | 1.84608e6i | −0.0881116 | + | 0.271180i | −0.985397 | − | 0.170271i | \(-0.945536\pi\) |
0.897286 | + | 0.441450i | \(0.145536\pi\) | |||||||
\(542\) | −9.37904e6 | + | 6.81427e6i | −1.37139 | + | 0.996372i | ||||
\(543\) | 931483. | + | 676762.i | 0.135574 | + | 0.0985000i | ||||
\(544\) | −2.74717e6 | − | 8.45491e6i | −0.398004 | − | 1.22493i | ||||
\(545\) | 4.95676e6 | + | 1.52553e7i | 0.714837 | + | 2.20004i | ||||
\(546\) | 1.40734e7 | + | 1.02249e7i | 2.02031 | + | 1.46784i | ||||
\(547\) | 1.13528e6 | − | 824829.i | 0.162231 | − | 0.117868i | −0.503708 | − | 0.863874i | \(-0.668031\pi\) |
0.665939 | + | 0.746006i | \(0.268031\pi\) | |||||||
\(548\) | −3.15434e6 | + | 9.70807e6i | −0.448701 | + | 1.38096i | ||||
\(549\) | −194329. | −0.0275174 | ||||||||
\(550\) | −3.38654e6 | − | 4.23515e6i | −0.477364 | − | 0.596983i | ||||
\(551\) | −674679. | −0.0946712 | ||||||||
\(552\) | 9484.56 | − | 29190.5i | 0.00132486 | − | 0.00407750i | ||||
\(553\) | −1.38886e7 | + | 1.00907e7i | −1.93128 | + | 1.40316i | ||||
\(554\) | −1.26732e7 | − | 9.20765e6i | −1.75434 | − | 1.27460i | ||||
\(555\) | 1.75736e6 | + | 5.40861e6i | 0.242175 | + | 0.745338i | ||||
\(556\) | −4.65308e6 | − | 1.43207e7i | −0.638343 | − | 1.96462i | ||||
\(557\) | 1.02381e6 | + | 743840.i | 0.139824 | + | 0.101588i | 0.655498 | − | 0.755197i | \(-0.272459\pi\) |
−0.515675 | + | 0.856784i | \(0.672459\pi\) | |||||||
\(558\) | 3.52428e6 | − | 2.56054e6i | 0.479165 | − | 0.348134i | ||||
\(559\) | 640957. | − | 1.97266e6i | 0.0867559 | − | 0.267007i | ||||
\(560\) | 1.02122e7 | 1.37609 | ||||||||
\(561\) | −3.88468e6 | − | 1.06661e6i | −0.521132 | − | 0.143086i | ||||
\(562\) | 1.39001e7 | 1.85643 | ||||||||
\(563\) | 3.66510e6 | − | 1.12800e7i | 0.487321 | − | 1.49982i | −0.341270 | − | 0.939965i | \(-0.610857\pi\) |
0.828591 | − | 0.559854i | \(-0.189143\pi\) | |||||||
\(564\) | −206966. | + | 150370.i | −0.0273969 | + | 0.0199050i | ||||
\(565\) | 1.08338e7 | + | 7.87122e6i | 1.42778 | + | 1.03734i | ||||
\(566\) | 31193.8 | + | 96004.7i | 0.00409287 | + | 0.0125965i | ||||
\(567\) | 492153. | + | 1.51469e6i | 0.0642898 | + | 0.197864i | ||||
\(568\) | 520424. | + | 378110.i | 0.0676840 | + | 0.0491753i | ||||
\(569\) | 374585. | − | 272152.i | 0.0485031 | − | 0.0352396i | −0.563270 | − | 0.826273i | \(-0.690457\pi\) |
0.611773 | + | 0.791034i | \(0.290457\pi\) | |||||||
\(570\) | −2.03499e6 | + | 6.26304e6i | −0.262346 | + | 0.807417i | ||||
\(571\) | 1.08452e7 | 1.39203 | 0.696013 | − | 0.718029i | \(-0.254956\pi\) | ||||
0.696013 | + | 0.718029i | \(0.254956\pi\) | |||||||
\(572\) | 8.55001e6 | − | 1.29898e7i | 1.09264 | − | 1.66002i | ||||
\(573\) | −5.82945e6 | −0.741722 | ||||||||
\(574\) | 5.54493e6 | − | 1.70655e7i | 0.702451 | − | 2.16192i | ||||
\(575\) | −51481.3 | + | 37403.4i | −0.00649352 | + | 0.00471782i | ||||
\(576\) | 3.20026e6 | + | 2.32513e6i | 0.401910 | + | 0.292005i | ||||
\(577\) | −3.87978e6 | − | 1.19407e7i | −0.485140 | − | 1.49311i | −0.831778 | − | 0.555109i | \(-0.812677\pi\) |
0.346637 | − | 0.937999i | \(-0.387323\pi\) | |||||||
\(578\) | 466831. | + | 1.43676e6i | 0.0581219 | + | 0.178881i | ||||
\(579\) | −3.35857e6 | − | 2.44014e6i | −0.416349 | − | 0.302496i | ||||
\(580\) | −1.25881e6 | + | 914582.i | −0.155379 | + | 0.112889i | ||||
\(581\) | 1.78369e6 | − | 5.48964e6i | 0.219220 | − | 0.674689i | ||||
\(582\) | 4.46144e6 | 0.545968 | ||||||||
\(583\) | −96366.5 | − | 2.08459e6i | −0.0117423 | − | 0.254009i | ||||
\(584\) | −2.38845e6 | −0.289791 | ||||||||
\(585\) | 1.59003e6 | − | 4.89361e6i | 0.192095 | − | 0.591207i | ||||
\(586\) | 1.56870e6 | − | 1.13972e6i | 0.188710 | − | 0.137106i | ||||
\(587\) | −1.48615e6 | − | 1.07975e6i | −0.178019 | − | 0.129339i | 0.495207 | − | 0.868775i | \(-0.335092\pi\) |
−0.673227 | + | 0.739436i | \(0.735092\pi\) | |||||||
\(588\) | −4.89752e6 | − | 1.50730e7i | −0.584161 | − | 1.79786i | ||||
\(589\) | 2.40369e6 | + | 7.39781e6i | 0.285490 | + | 0.878648i | ||||
\(590\) | 5.71535e6 | + | 4.15244e6i | 0.675947 | + | 0.491104i | ||||
\(591\) | −1.05059e6 | + | 763298.i | −0.123727 | + | 0.0898929i | ||||
\(592\) | −1.74862e6 | + | 5.38171e6i | −0.205065 | + | 0.631126i | ||||
\(593\) | −8.32530e6 | −0.972217 | −0.486108 | − | 0.873899i | \(-0.661584\pi\) | ||||
−0.486108 | + | 0.873899i | \(0.661584\pi\) | |||||||
\(594\) | 2.35201e6 | − | 886256.i | 0.273510 | − | 0.103061i | ||||
\(595\) | 1.85570e7 | 2.14889 | ||||||||
\(596\) | −4.29452e6 | + | 1.32172e7i | −0.495221 | + | 1.52413i | ||||
\(597\) | 4.61976e6 | − | 3.35645e6i | 0.530498 | − | 0.385429i | ||||
\(598\) | −260634. | − | 189362.i | −0.0298043 | − | 0.0216541i | ||||
\(599\) | 3.98687e6 | + | 1.22703e7i | 0.454010 | + | 1.39730i | 0.872294 | + | 0.488982i | \(0.162632\pi\) |
−0.418284 | + | 0.908316i | \(0.637368\pi\) | |||||||
\(600\) | 368693. | + | 1.13472e6i | 0.0418107 | + | 0.128680i | ||||
\(601\) | −9.94943e6 | − | 7.22868e6i | −1.12360 | − | 0.816343i | −0.138849 | − | 0.990314i | \(-0.544340\pi\) |
−0.984751 | + | 0.173970i | \(0.944340\pi\) | |||||||
\(602\) | −3.77590e6 | + | 2.74335e6i | −0.424648 | + | 0.308525i | ||||
\(603\) | −244712. | + | 753146.i | −0.0274070 | + | 0.0843502i | ||||
\(604\) | 9.40173e6 | 1.04861 | ||||||||
\(605\) | −9.49085e6 | − | 5.63669e6i | −1.05418 | − | 0.626089i | ||||
\(606\) | 2.89453e6 | 0.320181 | ||||||||
\(607\) | −1.07598e6 | + | 3.31153e6i | −0.118531 | + | 0.364802i | −0.992667 | − | 0.120880i | \(-0.961428\pi\) |
0.874136 | + | 0.485681i | \(0.161428\pi\) | |||||||
\(608\) | −8.01265e6 | + | 5.82153e6i | −0.879058 | + | 0.638673i | ||||
\(609\) | −959655. | − | 697230.i | −0.104851 | − | 0.0761786i | ||||
\(610\) | −436558. | − | 1.34359e6i | −0.0475026 | − | 0.146198i | ||||
\(611\) | 194708. | + | 599249.i | 0.0210999 | + | 0.0649388i | ||||
\(612\) | 3.05595e6 | + | 2.22027e6i | 0.329812 | + | 0.239623i | ||||
\(613\) | 3.16775e6 | − | 2.30151e6i | 0.340487 | − | 0.247378i | −0.404381 | − | 0.914591i | \(-0.632513\pi\) |
0.744867 | + | 0.667213i | \(0.232513\pi\) | |||||||
\(614\) | 7.24698e6 | − | 2.23039e7i | 0.775776 | − | 2.38759i | ||||
\(615\) | −5.30756e6 | −0.565857 | ||||||||
\(616\) | −7.68368e6 | + | 2.89527e6i | −0.815864 | + | 0.307424i | ||||
\(617\) | −170678. | −0.0180495 | −0.00902475 | − | 0.999959i | \(-0.502873\pi\) | ||||
−0.00902475 | + | 0.999959i | \(0.502873\pi\) | |||||||
\(618\) | −1.61171e6 | + | 4.96032e6i | −0.169752 | + | 0.522443i | ||||
\(619\) | 1.25470e7 | − | 9.11590e6i | 1.31617 | − | 0.956253i | 0.316198 | − | 0.948693i | \(-0.397594\pi\) |
0.999971 | − | 0.00755984i | \(-0.00240640\pi\) | |||||||
\(620\) | 1.45131e7 | + | 1.05444e7i | 1.51629 | + | 1.10165i | ||||
\(621\) | −9114.48 | − | 28051.5i | −0.000948425 | − | 0.00291895i | ||||
\(622\) | −2.72294e6 | − | 8.38033e6i | −0.282203 | − | 0.868531i | ||||
\(623\) | −3.03656e6 | − | 2.20619e6i | −0.313445 | − | 0.227731i | ||||
\(624\) | 4.14205e6 | − | 3.00938e6i | 0.425847 | − | 0.309396i | ||||
\(625\) | −3.77215e6 | + | 1.16095e7i | −0.386268 | + | 1.18881i | ||||
\(626\) | −1.02711e7 | −1.04756 | ||||||||
\(627\) | 207250. | + | 4.48322e6i | 0.0210536 | + | 0.455430i | ||||
\(628\) | −1.51361e6 | −0.153149 | ||||||||
\(629\) | −3.17750e6 | + | 9.77934e6i | −0.320228 | + | 0.985560i | ||||
\(630\) | −9.36693e6 | + | 6.80547e6i | −0.940255 | + | 0.683136i | ||||
\(631\) | −5.15852e6 | − | 3.74788e6i | −0.515765 | − | 0.374725i | 0.299241 | − | 0.954178i | \(-0.403266\pi\) |
−0.815006 | + | 0.579452i | \(0.803266\pi\) | |||||||
\(632\) | −1.84207e6 | − | 5.66931e6i | −0.183448 | − | 0.564595i | ||||
\(633\) | 248056. | + | 763439.i | 0.0246060 | + | 0.0757295i | ||||
\(634\) | 3.28484e6 | + | 2.38658e6i | 0.324557 | + | 0.235805i | ||||
\(635\) | −7.20193e6 | + | 5.23251e6i | −0.708785 | + | 0.514962i | ||||
\(636\) | −604669. | + | 1.86098e6i | −0.0592754 | + | 0.182431i | ||||
\(637\) | −3.90349e7 | −3.81157 | ||||||||
\(638\) | −1.02923e6 | + | 1.56369e6i | −0.100106 | + | 0.152089i | ||||
\(639\) | 618179. | 0.0598911 | ||||||||
\(640\) | −3.48436e6 | + | 1.07237e7i | −0.336258 | + | 1.03490i | ||||
\(641\) | −2.57941e6 | + | 1.87405e6i | −0.247956 | + | 0.180151i | −0.704821 | − | 0.709386i | \(-0.748972\pi\) |
0.456864 | + | 0.889536i | \(0.348972\pi\) | |||||||
\(642\) | 1.24100e7 | + | 9.01639e6i | 1.18832 | + | 0.863367i | ||||
\(643\) | −330137. | − | 1.01606e6i | −0.0314896 | − | 0.0969150i | 0.934076 | − | 0.357073i | \(-0.116225\pi\) |
−0.965566 | + | 0.260158i | \(0.916225\pi\) | |||||||
\(644\) | 126894. | + | 390540.i | 0.0120567 | + | 0.0371066i | ||||
\(645\) | 1.11687e6 | + | 811452.i | 0.105707 | + | 0.0768004i | ||||
\(646\) | −9.63298e6 | + | 6.99877e6i | −0.908195 | + | 0.659843i | ||||
\(647\) | −2.25968e6 | + | 6.95458e6i | −0.212220 | + | 0.653146i | 0.787119 | + | 0.616801i | \(0.211572\pi\) |
−0.999339 | + | 0.0363451i | \(0.988428\pi\) | |||||||
\(648\) | −553019. | −0.0517372 | ||||||||
\(649\) | 4.64277e6 | + | 1.27475e6i | 0.432679 | + | 0.118800i | ||||
\(650\) | 1.25234e7 | 1.16262 | ||||||||
\(651\) | −4.22610e6 | + | 1.30066e7i | −0.390830 | + | 1.20285i | ||||
\(652\) | 8.82837e6 | − | 6.41419e6i | 0.813320 | − | 0.590912i | ||||
\(653\) | 1.34877e7 | + | 9.79938e6i | 1.23781 | + | 0.899322i | 0.997451 | − | 0.0713612i | \(-0.0227343\pi\) |
0.240361 | + | 0.970684i | \(0.422734\pi\) | |||||||
\(654\) | −5.59184e6 | − | 1.72099e7i | −0.511223 | − | 1.57338i | ||||
\(655\) | −2.81867e6 | − | 8.67499e6i | −0.256709 | − | 0.790070i | ||||
\(656\) | −4.27255e6 | − | 3.10419e6i | −0.387639 | − | 0.281636i | ||||
\(657\) | −1.85690e6 | + | 1.34912e6i | −0.167832 | + | 0.121937i | ||||
\(658\) | 438127. | − | 1.34842e6i | 0.0394489 | − | 0.121411i | ||||
\(659\) | −7.46758e6 | −0.669833 | −0.334916 | − | 0.942248i | \(-0.608708\pi\) | ||||
−0.334916 | + | 0.942248i | \(0.608708\pi\) | |||||||
\(660\) | 6.46406e6 | + | 8.08384e6i | 0.577624 | + | 0.722367i | ||||
\(661\) | 1.67759e7 | 1.49342 | 0.746711 | − | 0.665149i | \(-0.231632\pi\) | ||||
0.746711 | + | 0.665149i | \(0.231632\pi\) | |||||||
\(662\) | 6.44678e6 | − | 1.98411e7i | 0.571739 | − | 1.75963i | ||||
\(663\) | 7.52670e6 | − | 5.46847e6i | 0.664999 | − | 0.483150i | ||||
\(664\) | 1.62150e6 | + | 1.17809e6i | 0.142724 | + | 0.103695i | ||||
\(665\) | −6.38860e6 | − | 1.96621e7i | −0.560211 | − | 1.72415i | ||||
\(666\) | −1.98252e6 | − | 6.10157e6i | −0.173194 | − | 0.533036i | ||||
\(667\) | 17772.5 | + | 12912.4i | 0.00154680 | + | 0.00112381i | ||||
\(668\) | −9.00862e6 | + | 6.54514e6i | −0.781119 | + | 0.567516i | ||||
\(669\) | 2.08721e6 | − | 6.42379e6i | 0.180303 | − | 0.554914i | ||||
\(670\) | −5.75698e6 | −0.495459 | ||||||||
\(671\) | −601283. | − | 751955.i | −0.0515553 | − | 0.0644741i | ||||
\(672\) | −1.74132e7 | −1.48750 | ||||||||
\(673\) | −235056. | + | 723428.i | −0.0200048 | + | 0.0615684i | −0.960561 | − | 0.278071i | \(-0.910305\pi\) |
0.940556 | + | 0.339639i | \(0.110305\pi\) | |||||||
\(674\) | −3.61703e6 | + | 2.62792e6i | −0.306692 | + | 0.222825i | ||||
\(675\) | 927588. | + | 673932.i | 0.0783602 | + | 0.0569320i | ||||
\(676\) | 6.30104e6 | + | 1.93926e7i | 0.530329 | + | 1.63218i | ||||
\(677\) | −4.10496e6 | − | 1.26338e7i | −0.344221 | − | 1.05940i | −0.962000 | − | 0.273050i | \(-0.911967\pi\) |
0.617779 | − | 0.786352i | \(-0.288033\pi\) | |||||||
\(678\) | −1.22219e7 | − | 8.87970e6i | −1.02109 | − | 0.741863i | ||||
\(679\) | −1.13312e7 | + | 8.23262e6i | −0.943198 | + | 0.685273i | ||||
\(680\) | −1.99119e6 | + | 6.12825e6i | −0.165135 | + | 0.508235i | ||||
\(681\) | 7.52585e6 | 0.621853 | ||||||||
\(682\) | 2.08126e7 | + | 5.71448e6i | 1.71343 | + | 0.470452i | ||||
\(683\) | 8.02422e6 | 0.658189 | 0.329095 | − | 0.944297i | \(-0.393256\pi\) | ||||
0.329095 | + | 0.944297i | \(0.393256\pi\) | |||||||
\(684\) | 1.30043e6 | − | 4.00231e6i | 0.106279 | − | 0.327092i | ||||
\(685\) | −1.35376e7 | + | 9.83563e6i | −1.10234 | + | 0.800895i | ||||
\(686\) | 4.27036e7 | + | 3.10260e7i | 3.46461 | + | 2.51718i | ||||
\(687\) | 518909. | + | 1.59704e6i | 0.0419469 | + | 0.129099i | ||||
\(688\) | 424484. | + | 1.30643e6i | 0.0341893 | + | 0.105224i | ||||
\(689\) | 3.89899e6 | + | 2.83278e6i | 0.312899 | + | 0.227334i | ||||
\(690\) | 173472. | − | 126035.i | 0.0138710 | − | 0.0100778i | ||||
\(691\) | −6.07806e6 | + | 1.87063e7i | −0.484250 | + | 1.49037i | 0.348813 | + | 0.937192i | \(0.386585\pi\) |
−0.833064 | + | 0.553177i | \(0.813415\pi\) | |||||||
\(692\) | 3.08624e7 | 2.44999 | ||||||||
\(693\) | −4.33829e6 | + | 6.59106e6i | −0.343151 | + | 0.521341i | ||||
\(694\) | 3.55473e6 | 0.280161 | ||||||||
\(695\) | 7.62777e6 | − | 2.34759e7i | 0.599012 | − | 1.84357i | ||||
\(696\) | 333225. | − | 242102.i | 0.0260744 | − | 0.0189442i | ||||
\(697\) | −7.76384e6 | − | 5.64076e6i | −0.605333 | − | 0.439800i | ||||
\(698\) | −1.01010e7 | − | 3.10876e7i | −0.784739 | − | 2.41518i | ||||
\(699\) | 3.59195e6 | + | 1.10549e7i | 0.278059 | + | 0.855778i | ||||
\(700\) | −1.29141e7 | − | 9.38266e6i | −0.996139 | − | 0.723737i | ||||
\(701\) | 1.43283e7 | − | 1.04101e7i | 1.10128 | − | 0.800128i | 0.120013 | − | 0.992772i | \(-0.461706\pi\) |
0.981269 | + | 0.192644i | \(0.0617062\pi\) | |||||||
\(702\) | −1.79375e6 | + | 5.52059e6i | −0.137378 | + | 0.422807i | ||||
\(703\) | 1.14556e7 | 0.874241 | ||||||||
\(704\) | 905037. | + | 1.95777e7i | 0.0688232 | + | 1.48878i | ||||
\(705\) | −419372. | −0.0317780 | ||||||||
\(706\) | −4.62028e6 | + | 1.42198e7i | −0.348865 | + | 1.07369i | ||||
\(707\) | −7.35157e6 | + | 5.34123e6i | −0.553135 | + | 0.401876i | ||||
\(708\) | −3.65231e6 | − | 2.65356e6i | −0.273832 | − | 0.198951i | ||||
\(709\) | 4.19391e6 | + | 1.29075e7i | 0.313331 | + | 0.964333i | 0.976436 | + | 0.215807i | \(0.0692382\pi\) |
−0.663105 | + | 0.748526i | \(0.730762\pi\) | |||||||
\(710\) | 1.38873e6 | + | 4.27408e6i | 0.103389 | + | 0.318197i | ||||
\(711\) | −4.63443e6 | − | 3.36711e6i | −0.343813 | − | 0.249795i | ||||
\(712\) | 1.05440e6 | − | 766065.i | 0.0779479 | − | 0.0566325i | ||||
\(713\) | 78265.8 | − | 240877.i | 0.00576565 | − | 0.0177448i | ||||
\(714\) | −2.09345e7 | −1.53680 | ||||||||
\(715\) | 2.38556e7 | − | 8.98895e6i | 1.74512 | − | 0.657573i | ||||
\(716\) | −2.02522e7 | −1.47635 | ||||||||
\(717\) | 4.17000e6 | − | 1.28339e7i | 0.302927 | − | 0.932314i | ||||
\(718\) | 4.91022e6 | − | 3.56749e6i | 0.355459 | − | 0.258256i | ||||
\(719\) | −1.62962e7 | − | 1.18399e7i | −1.17561 | − | 0.854134i | −0.183944 | − | 0.982937i | \(-0.558887\pi\) |
−0.991670 | + | 0.128803i | \(0.958887\pi\) | |||||||
\(720\) | 1.05302e6 | + | 3.24087e6i | 0.0757019 | + | 0.232987i | ||||
\(721\) | −5.05977e6 | − | 1.55724e7i | −0.362487 | − | 1.11562i | ||||
\(722\) | −6.47830e6 | − | 4.70676e6i | −0.462507 | − | 0.336031i | ||||
\(723\) | 3.21777e6 | − | 2.33784e6i | 0.228933 | − | 0.166330i | ||||
\(724\) | 1.65290e6 | − | 5.08711e6i | 0.117193 | − | 0.360682i | ||||
\(725\) | −853960. | −0.0603382 | ||||||||
\(726\) | 1.07068e7 | + | 6.35888e6i | 0.753910 | + | 0.447754i | ||||
\(727\) | 1.04332e7 | 0.732119 | 0.366059 | − | 0.930592i | \(-0.380707\pi\) | ||||
0.366059 | + | 0.930592i | \(0.380707\pi\) | |||||||
\(728\) | 5.85991e6 | − | 1.80350e7i | 0.409791 | − | 1.26121i | ||||
\(729\) | −429945. | + | 312373.i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −1.34993e7 | − | 9.80780e6i | −0.937570 | − | 0.681184i | ||||
\(731\) | 771349. | + | 2.37397e6i | 0.0533897 | + | 0.164317i | ||||
\(732\) | 278976. | + | 858601.i | 0.0192438 | + | 0.0592262i | ||||
\(733\) | 4.34866e6 | + | 3.15948e6i | 0.298948 | + | 0.217198i | 0.727140 | − | 0.686490i | \(-0.240849\pi\) |
−0.428192 | + | 0.903688i | \(0.640849\pi\) | |||||||
\(734\) | −1.48628e7 | + | 1.07985e7i | −1.01827 | + | 0.739813i | ||||
\(735\) | 8.02847e6 | − | 2.47091e7i | 0.548169 | − | 1.68709i | ||||
\(736\) | 322486. | 0.0219441 | ||||||||
\(737\) | −3.67147e6 | + | 1.38344e6i | −0.248984 | + | 0.0938189i | ||||
\(738\) | 5.98757e6 | 0.404678 | ||||||||
\(739\) | 5.86573e6 | − | 1.80529e7i | 0.395104 | − | 1.21600i | −0.533777 | − | 0.845625i | \(-0.679228\pi\) |
0.928881 | − | 0.370379i | \(-0.120772\pi\) | |||||||
\(740\) | 2.13739e7 | − | 1.55291e7i | 1.43484 | − | 1.04248i | ||||
\(741\) | −8.38534e6 | − | 6.09231e6i | −0.561016 | − | 0.407602i | ||||
\(742\) | −3.35114e6 | − | 1.03138e7i | −0.223451 | − | 0.687713i | ||||
\(743\) | −3.05019e6 | − | 9.38752e6i | −0.202700 | − | 0.623848i | −0.999800 | − | 0.0199999i | \(-0.993633\pi\) |
0.797100 | − | 0.603848i | \(-0.206367\pi\) | |||||||
\(744\) | −3.84183e6 | − | 2.79125e6i | −0.254452 | − | 0.184870i | ||||
\(745\) | −1.84309e7 | + | 1.33908e7i | −1.21662 | + | 0.883929i | ||||
\(746\) | 2.95280e6 | − | 9.08778e6i | 0.194262 | − | 0.597876i | ||||
\(747\) | 1.92608e6 | 0.126291 | ||||||||
\(748\) | 864224. | + | 1.86948e7i | 0.0564771 | + | 1.22171i | ||||
\(749\) | −4.81569e7 | −3.13656 | ||||||||
\(750\) | 2.54204e6 | − | 7.82361e6i | 0.165017 | − | 0.507872i | ||||
\(751\) | −1.65255e7 | + | 1.20065e7i | −1.06919 | + | 0.776812i | −0.975766 | − | 0.218814i | \(-0.929781\pi\) |
−0.0934235 | + | 0.995626i | \(0.529781\pi\) | |||||||
\(752\) | −337592. | − | 245275.i | −0.0217694 | − | 0.0158164i | ||||
\(753\) | −1.77103e6 | − | 5.45067e6i | −0.113825 | − | 0.350318i | ||||
\(754\) | −1.33598e6 | − | 4.11174e6i | −0.0855801 | − | 0.263389i | ||||
\(755\) | 1.24687e7 | + | 9.05906e6i | 0.796077 | + | 0.578383i | ||||
\(756\) | 5.98580e6 | − | 4.34894e6i | 0.380906 | − | 0.276745i | ||||
\(757\) | 5.70523e6 | − | 1.75589e7i | 0.361854 | − | 1.11367i | −0.590074 | − | 0.807349i | \(-0.700901\pi\) |
0.951928 | − | 0.306323i | \(-0.0990987\pi\) | |||||||
\(758\) | −1.59754e6 | −0.100990 | ||||||||
\(759\) | 80343.4 | − | 122064.i | 0.00506228 | − | 0.00769100i | ||||
\(760\) | 7.17871e6 | 0.450830 | ||||||||
\(761\) | −5.24183e6 | + | 1.61327e7i | −0.328111 | + | 1.00982i | 0.641905 | + | 0.766784i | \(0.278144\pi\) |
−0.970017 | + | 0.243039i | \(0.921856\pi\) | |||||||
\(762\) | 8.12465e6 | − | 5.90291e6i | 0.506894 | − | 0.368280i | ||||
\(763\) | 4.59594e7 | + | 3.33915e7i | 2.85801 | + | 2.07646i | ||||
\(764\) | 8.36869e6 | + | 2.57562e7i | 0.518709 | + | 1.59642i | ||||
\(765\) | 1.91349e6 | + | 5.88913e6i | 0.118215 | + | 0.363829i | ||||
\(766\) | −7.64801e6 | − | 5.55660e6i | −0.470952 | − | 0.342167i | ||||
\(767\) | −8.99553e6 | + | 6.53564e6i | −0.552126 | + | 0.401143i | ||||
\(768\) | −415499. | + | 1.27877e6i | −0.0254195 | + | 0.0782331i | ||||
\(769\) | 1.54762e7 | 0.943729 | 0.471865 | − | 0.881671i | \(-0.343581\pi\) | ||||
0.471865 | + | 0.881671i | \(0.343581\pi\) | |||||||
\(770\) | −5.53164e7 | − | 1.51881e7i | −3.36223 | − | 0.923158i | ||||
\(771\) | 1.27334e7 | 0.771449 | ||||||||
\(772\) | −5.95973e6 | + | 1.83422e7i | −0.359901 | + | 1.10766i | ||||
\(773\) | 1.30579e7 | − | 9.48713e6i | 0.786005 | − | 0.571066i | −0.120770 | − | 0.992680i | \(-0.538536\pi\) |
0.906775 | + | 0.421615i | \(0.138536\pi\) | |||||||
\(774\) | −1.25996e6 | − | 915417.i | −0.0755972 | − | 0.0549246i | ||||
\(775\) | 3.04243e6 | + | 9.36362e6i | 0.181956 | + | 0.560002i | ||||
\(776\) | −1.50288e6 | − | 4.62539e6i | −0.0895922 | − | 0.275737i | ||||
\(777\) | 1.62944e7 | + | 1.18386e7i | 0.968245 | + | 0.703471i | ||||
\(778\) | −1.44234e7 | + | 1.04792e7i | −0.854315 | + | 0.620696i | ||||
\(779\) | −3.30383e6 | + | 1.01681e7i | −0.195062 | + | 0.600340i | ||||
\(780\) | −2.39040e7 | −1.40680 | ||||||||
\(781\) | 1.91274e6 | + | 2.39204e6i | 0.112209 | + | 0.140327i | ||||
\(782\) | 387700. | 0.0226714 | ||||||||
\(783\) | 122314. | − | 376445.i | 0.00712973 | − | 0.0219430i | ||||
\(784\) | 2.09143e7 | − | 1.51951e7i | 1.21521 | − | 0.882905i | ||||
\(785\) | −2.00738e6 | − | 1.45844e6i | −0.116266 | − | 0.0844725i | ||||
\(786\) | 3.17981e6 | + | 9.78645e6i | 0.183588 | + | 0.565026i | ||||
\(787\) | 1.80144e6 | + | 5.54427e6i | 0.103677 | + | 0.319086i | 0.989418 | − | 0.145095i | \(-0.0463487\pi\) |
−0.885740 | + | 0.464181i | \(0.846349\pi\) | |||||||
\(788\) | 4.88068e6 | + | 3.54602e6i | 0.280004 | + | 0.203435i | ||||
\(789\) | −1.55782e6 | + | 1.13182e6i | −0.0890890 | + | 0.0647270i | ||||
\(790\) | 1.28689e7 | − | 3.96065e7i | 0.733627 | − | 2.25787i | ||||
\(791\) | 4.74268e7 | 2.69515 | ||||||||
\(792\) | −1.71112e6 | − | 2.13990e6i | −0.0969323 | − | 0.121222i | ||||
\(793\) | 2.22354e6 | 0.125563 | ||||||||
\(794\) | 856087. | − | 2.63476e6i | 0.0481911 | − | 0.148317i | ||||
\(795\) | −2.59507e6 | + | 1.88543e6i | −0.145624 | + | 0.105802i | ||||
\(796\) | −2.14618e7 | − | 1.55929e7i | −1.20056 | − | 0.872258i | ||||
\(797\) | 7.94845e6 | + | 2.44628e7i | 0.443238 | + | 1.36415i | 0.884405 | + | 0.466721i | \(0.154565\pi\) |
−0.441167 | + | 0.897425i | \(0.645435\pi\) | |||||||
\(798\) | 7.20713e6 | + | 2.21813e7i | 0.400641 | + | 1.23304i | ||||
\(799\) | −613452. | − | 445699.i | −0.0339949 | − | 0.0246987i | ||||
\(800\) | −1.01418e7 | + | 7.36848e6i | −0.560263 | + | 0.407055i | ||||
\(801\) | 387029. | − | 1.19115e6i | 0.0213139 | − | 0.0655974i | ||||
\(802\) | −1.70768e7 | −0.937497 | ||||||||
\(803\) | −1.09659e7 | − | 3.01089e6i | −0.600145 | − | 0.164780i | ||||
\(804\) | 3.67892e6 | 0.200715 | ||||||||
\(805\) | −208017. | + | 640210.i | −0.0113138 | + | 0.0348203i | ||||
\(806\) | −4.03252e7 | + | 2.92980e7i | −2.18645 | + | 1.58855i | ||||
\(807\) | −7.24662e6 | − | 5.26498e6i | −0.391698 | − | 0.284586i | ||||
\(808\) | −975051. | − | 3.00090e6i | −0.0525411 | − | 0.161705i | ||||
\(809\) | −1.70971e6 | − | 5.26195e6i | −0.0918442 | − | 0.282667i | 0.894574 | − | 0.446919i | \(-0.147479\pi\) |
−0.986418 | + | 0.164252i | \(0.947479\pi\) | |||||||
\(810\) | −3.12561e6 | − | 2.27089e6i | −0.167387 | − | 0.121614i | ||||
\(811\) | −2.77912e7 | + | 2.01915e7i | −1.48373 | + | 1.07800i | −0.507403 | + | 0.861709i | \(0.669395\pi\) |
−0.976330 | + | 0.216287i | \(0.930605\pi\) | |||||||
\(812\) | −1.70289e6 | + | 5.24096e6i | −0.0906352 | + | 0.278947i | ||||
\(813\) | 1.21446e7 | 0.644402 | ||||||||
\(814\) | 1.74758e7 | − | 2.65505e7i | 0.924432 | − | 1.40447i | ||||
\(815\) | 1.78887e7 | 0.943378 | ||||||||
\(816\) | −1.90398e6 | + | 5.85985e6i | −0.100101 | + | 0.308078i | ||||
\(817\) | 2.24979e6 | − | 1.63457e6i | 0.117920 | − | 0.0856738i | ||||
\(818\) | 3.31819e7 | + | 2.41081e7i | 1.73388 | + | 1.25973i | ||||
\(819\) | −5.63127e6 | − | 1.73313e7i | −0.293357 | − | 0.902860i | ||||
\(820\) | 7.61946e6 | + | 2.34503e7i | 0.395722 | + | 1.21791i | ||||
\(821\) | −1.57948e7 | − | 1.14756e7i | −0.817815 | − | 0.594178i | 0.0982706 | − | 0.995160i | \(-0.468669\pi\) |
−0.916086 | + | 0.400982i | \(0.868669\pi\) | |||||||
\(822\) | 1.52720e7 | − | 1.10958e7i | 0.788348 | − | 0.572768i | ||||
\(823\) | 7.59001e6 | − | 2.33597e7i | 0.390610 | − | 1.20217i | −0.541719 | − | 0.840560i | \(-0.682226\pi\) |
0.932328 | − | 0.361613i | \(-0.117774\pi\) | |||||||
\(824\) | 5.68553e6 | 0.291711 | ||||||||
\(825\) | 262323. | + | 5.67454e6i | 0.0134184 | + | 0.290266i | ||||
\(826\) | 2.50199e7 | 1.27596 | ||||||||
\(827\) | −200938. | + | 618424.i | −0.0102164 | + | 0.0314429i | −0.956035 | − | 0.293253i | \(-0.905262\pi\) |
0.945818 | + | 0.324696i | \(0.105262\pi\) | |||||||
\(828\) | −110855. | + | 80540.8i | −0.00561926 | + | 0.00408263i | ||||
\(829\) | −3.71773e6 | − | 2.70109e6i | −0.187885 | − | 0.136506i | 0.489867 | − | 0.871797i | \(-0.337045\pi\) |
−0.677751 | + | 0.735291i | \(0.737045\pi\) | |||||||
\(830\) | 4.32693e6 | + | 1.33169e7i | 0.218014 | + | 0.670978i | ||||
\(831\) | 5.07101e6 | + | 1.56070e7i | 0.254737 | + | 0.784000i | ||||
\(832\) | −3.66177e7 | − | 2.66043e7i | −1.83393 | − | 1.33243i | ||||
\(833\) | 3.80043e7 | − | 2.76117e7i | 1.89767 | − | 1.37874i | ||||
\(834\) | −8.60506e6 | + | 2.64836e7i | −0.428389 | + | 1.31845i | ||||
\(835\) | −1.82540e7 | −0.906027 | ||||||||
\(836\) | 1.95106e7 | − | 7.35175e6i | 0.965507 | − | 0.363810i | ||||
\(837\) | −4.56347e6 | −0.225155 | ||||||||
\(838\) | −1.54908e7 | + | 4.76757e7i | −0.762015 | + | 2.34524i | ||||
\(839\) | 2.28259e6 | − | 1.65840e6i | 0.111950 | − | 0.0813363i | −0.530402 | − | 0.847746i | \(-0.677959\pi\) |
0.642352 | + | 0.766410i | \(0.277959\pi\) | |||||||
\(840\) | 1.02109e7 | + | 7.41866e6i | 0.499306 | + | 0.362767i | ||||
\(841\) | −6.24719e6 | − | 1.92269e7i | −0.304576 | − | 0.937387i | ||||
\(842\) | −78499.7 | − | 241597.i | −0.00381582 | − | 0.0117439i | ||||
\(843\) | −1.17804e7 | − | 8.55894e6i | −0.570939 | − | 0.414812i | ||||
\(844\) | 3.01698e6 | − | 2.19197e6i | 0.145786 | − | 0.105920i | ||||
\(845\) | −1.03293e7 | + | 3.17902e7i | −0.497654 | + | 1.53162i | ||||
\(846\) | 473102. | 0.0227263 | ||||||||
\(847\) | −3.89273e7 | + | 3.60678e6i | −1.86443 | + | 0.172747i | ||||
\(848\) | −3.19174e6 | −0.152418 | ||||||||
\(849\) | 32677.6 | − | 100571.i | 0.00155590 | − | 0.00478857i | ||||
\(850\) | −1.21927e7 | + | 8.85854e6i | −0.578834 | + | 0.420547i | ||||
\(851\) | −301766. | − | 219246.i | −0.0142839 | − | 0.0103778i | ||||
\(852\) | −887450. | − | 2.73129e6i | −0.0418837 | − | 0.128905i | ||||
\(853\) | −4.69315e6 | − | 1.44440e7i | −0.220847 | − | 0.679698i | −0.998687 | − | 0.0512351i | \(-0.983684\pi\) |
0.777839 | − | 0.628463i | \(-0.216316\pi\) | |||||||
\(854\) | −4.04779e6 | − | 2.94089e6i | −0.189921 | − | 0.137986i | ||||
\(855\) | 5.58109e6 | − | 4.05490e6i | 0.261098 | − | 0.189699i | ||||
\(856\) | 5.16730e6 | − | 1.59033e7i | 0.241035 | − | 0.741828i | ||||
\(857\) | 3.25712e7 | 1.51489 | 0.757446 | − | 0.652898i | \(-0.226447\pi\) | ||||
0.757446 | + | 0.652898i | \(0.226447\pi\) | |||||||
\(858\) | −2.69120e7 | + | 1.01406e7i | −1.24804 | + | 0.470270i | ||||
\(859\) | −2.43268e7 | −1.12487 | −0.562434 | − | 0.826842i | \(-0.690135\pi\) | ||||
−0.562434 | + | 0.826842i | \(0.690135\pi\) | |||||||
\(860\) | 1.98186e6 | − | 6.09955e6i | 0.0913751 | − | 0.281224i | ||||
\(861\) | −1.52073e7 | + | 1.10488e7i | −0.699110 | + | 0.507933i | ||||
\(862\) | −3.34814e7 | − | 2.43257e7i | −1.53474 | − | 1.11506i | ||||
\(863\) | −1.12886e7 | − | 3.47428e7i | −0.515958 | − | 1.58795i | −0.781533 | − | 0.623864i | \(-0.785562\pi\) |
0.265575 | − | 0.964090i | \(-0.414438\pi\) | |||||||
\(864\) | −1.79556e6 | − | 5.52616e6i | −0.0818304 | − | 0.251848i | ||||
\(865\) | 4.09302e7 | + | 2.97375e7i | 1.85996 | + | 1.35134i | ||||
\(866\) | −2.39542e7 | + | 1.74037e7i | −1.08539 | + | 0.788583i | ||||
\(867\) | 489037. | − | 1.50510e6i | 0.0220950 | − | 0.0680014i | ||||
\(868\) | 6.35338e7 | 2.86224 | ||||||||
\(869\) | −1.31062e6 | − | 2.83512e7i | −0.0588745 | − | 1.27357i | ||||
\(870\) | 2.87751e6 | 0.128890 | ||||||||
\(871\) | 2.80002e6 | − | 8.61758e6i | 0.125059 | − | 0.384893i | ||||
\(872\) | −1.59587e7 | + | 1.15947e7i | −0.710732 | + | 0.516377i | ||||
\(873\) | −3.78107e6 | − | 2.74711e6i | −0.167911 | − | 0.121994i | ||||
\(874\) | −133473. | − | 410789.i | −0.00591038 | − | 0.0181903i | ||||
\(875\) | 7.98046e6 | + | 2.45613e7i | 0.352377 | + | 1.08451i | ||||
\(876\) | 8.62653e6 | + | 6.26754e6i | 0.379818 | + | 0.275954i | ||||
\(877\) | 2.16298e7 | − | 1.57150e7i | 0.949629 | − | 0.689946i | −0.00108992 | − | 0.999999i | \(-0.500347\pi\) |
0.950719 | + | 0.310053i | \(0.100347\pi\) | |||||||
\(878\) | 1.52762e7 | − | 4.70154e7i | 0.668774 | − | 2.05828i | ||||
\(879\) | −2.03125e6 | −0.0886729 | ||||||||
\(880\) | −9.28232e6 | + | 1.41024e7i | −0.404064 | + | 0.613885i | ||||
\(881\) | −2.08247e7 | −0.903938 | −0.451969 | − | 0.892034i | \(-0.649278\pi\) | ||||
−0.451969 | + | 0.892034i | \(0.649278\pi\) | |||||||
\(882\) | −9.05710e6 | + | 2.78749e7i | −0.392029 | + | 1.20654i | ||||
\(883\) | 1.05586e7 | − | 7.67125e6i | 0.455726 | − | 0.331104i | −0.336127 | − | 0.941817i | \(-0.609117\pi\) |
0.791852 | + | 0.610713i | \(0.209117\pi\) | |||||||
\(884\) | −3.49665e7 | − | 2.54046e7i | −1.50495 | − | 1.09341i | ||||
\(885\) | −2.28691e6 | − | 7.03839e6i | −0.0981503 | − | 0.302075i | ||||
\(886\) | −1.26449e7 | − | 3.89170e7i | −0.541167 | − | 1.66554i | ||||
\(887\) | 2.96154e6 | + | 2.15169e6i | 0.126389 | + | 0.0918269i | 0.649184 | − | 0.760632i | \(-0.275111\pi\) |
−0.522795 | + | 0.852459i | \(0.675111\pi\) | |||||||
\(888\) | −5.65797e6 | + | 4.11075e6i | −0.240784 | + | 0.174940i | ||||
\(889\) | −9.74259e6 | + | 2.99846e7i | −0.413447 | + | 1.27246i | ||||
\(890\) | 9.10507e6 | 0.385308 | ||||||||
\(891\) | −2.53904e6 | − | 697138.i | −0.107146 | − | 0.0294188i | ||||
\(892\) | −3.13785e7 | −1.32044 | ||||||||
\(893\) | −261049. | + | 803426.i | −0.0109545 | + | 0.0337145i | ||||
\(894\) | 2.07923e7 | − | 1.51065e7i | 0.870080 | − | 0.632150i | ||||
\(895\) | −2.68588e7 | − | 1.95140e7i | −1.12080 | − | 0.814310i | ||||
\(896\) | 1.23402e7 | + | 3.79793e7i | 0.513515 | + | 1.58044i | ||||
\(897\) | 104289. | + | 320968.i | 0.00432770 | + | 0.0133193i | ||||
\(898\) | 4.87272e7 | + | 3.54024e7i | 2.01642 | + | 1.46501i | ||||
\(899\) | 2.74975e6 | − | 1.99781e6i | 0.113473 | − | 0.0824431i | ||||
\(900\) | 1.64599e6 | − | 5.06584e6i | 0.0677362 | − | 0.208471i | ||||
\(901\) | −5.79984e6 | −0.238015 | ||||||||
\(902\) | 1.85264e7 | + | 2.31689e7i | 0.758186 | + | 0.948174i | ||||
\(903\) | 4.88928e6 | 0.199538 | ||||||||
\(904\) | −5.08896e6 | + | 1.56622e7i | −0.207113 | + | 0.637430i | ||||
\(905\) | 7.09380e6 | − | 5.15395e6i | 0.287911 | − | 0.209179i | ||||
\(906\) | −1.40663e7 | − | 1.02197e7i | −0.569322 | − | 0.413637i | ||||
\(907\) | −1.93406e6 | − | 5.95244e6i | −0.0780644 | − | 0.240257i | 0.904407 | − | 0.426671i | \(-0.140314\pi\) |
−0.982471 | + | 0.186413i | \(0.940314\pi\) | |||||||
\(908\) | −1.08040e7 | − | 3.32513e7i | −0.434881 | − | 1.33843i | ||||
\(909\) | −2.45311e6 | − | 1.78229e6i | −0.0984708 | − | 0.0715432i | ||||
\(910\) | 1.07177e8 | − | 7.78690e7i | 4.29042 | − | 3.11717i | ||||
\(911\) | 8.16194e6 | − | 2.51199e7i | 0.325835 | − | 1.00282i | −0.645228 | − | 0.763990i | \(-0.723237\pi\) |
0.971062 | − | 0.238826i | \(-0.0767626\pi\) | |||||||
\(912\) | 6.86430e6 | 0.273281 | ||||||||
\(913\) | 5.95959e6 | + | 7.45296e6i | 0.236614 | + | 0.295905i | ||||
\(914\) | 5.94106e7 | 2.35233 | ||||||||
\(915\) | −457324. | + | 1.40750e6i | −0.0180581 | + | 0.0555771i | ||||
\(916\) | 6.31123e6 | − | 4.58538e6i | 0.248528 | − | 0.180566i | ||||
\(917\) | −2.61349e7 | − | 1.89881e7i | −1.02636 | − | 0.745691i | ||||
\(918\) | −2.15866e6 | − | 6.64366e6i | −0.0845428 | − | 0.260196i | ||||
\(919\) | 5.86700e6 | + | 1.80568e7i | 0.229154 | + | 0.705263i | 0.997843 | + | 0.0656411i | \(0.0209092\pi\) |
−0.768689 | + | 0.639622i | \(0.779091\pi\) | |||||||
\(920\) | −189102. | − | 137391.i | −0.00736592 | − | 0.00535166i | ||||
\(921\) | −1.98753e7 | + | 1.44403e7i | −0.772086 | + | 0.560953i | ||||
\(922\) | −1.07849e7 | + | 3.31924e7i | −0.417819 | + | 1.28591i | ||||
\(923\) | −7.07327e6 | −0.273285 | ||||||||
\(924\) | 3.53492e7 | + | 9.70573e6i | 1.36207 | + | 0.373980i | ||||
\(925\) | 1.44997e7 | 0.557193 | ||||||||
\(926\) | 1.69668e7 | − | 5.22185e7i | 0.650239 | − | 2.00123i | ||||
\(927\) | 4.42022e6 | − | 3.21148e6i | 0.168945 | − | 0.122745i | ||||
\(928\) | 3.50118e6 | + | 2.54376e6i | 0.133458 | + | 0.0969629i | ||||
\(929\) | 1.49422e7 | + | 4.59873e7i | 0.568035 | + | 1.74823i | 0.658757 | + | 0.752356i | \(0.271083\pi\) |
−0.0907221 | + | 0.995876i | \(0.528917\pi\) | |||||||
\(930\) | −1.02518e7 | − | 3.15517e7i | −0.388680 | − | 1.19623i | ||||
\(931\) | −4.23398e7 | − | 3.07616e7i | −1.60094 | − | 1.16315i | ||||
\(932\) | 4.36871e7 | − | 3.17405e7i | 1.64745 | − | 1.19694i | ||||
\(933\) | −2.85246e6 | + | 8.77897e6i | −0.107279 | + | 0.330171i | ||||
\(934\) | −5.83326e7 | −2.18798 | ||||||||
\(935\) | −1.68673e7 | + | 2.56261e7i | −0.630981 | + | 0.958636i | ||||
\(936\) | 6.32771e6 | 0.236079 | ||||||||
\(937\) | −1.15084e7 | + | 3.54191e7i | −0.428218 | + | 1.31792i | 0.471661 | + | 0.881780i | \(0.343655\pi\) |
−0.899879 | + | 0.436139i | \(0.856345\pi\) | |||||||
\(938\) | −1.64950e7 | + | 1.19843e7i | −0.612134 | + | 0.444741i | ||||
\(939\) | 8.70472e6 | + | 6.32435e6i | 0.322174 | + | 0.234073i | ||||
\(940\) | 602045. | + | 1.85290e6i | 0.0222233 | + | 0.0683964i | ||||
\(941\) | 7.56279e6 | + | 2.32759e7i | 0.278425 | + | 0.856903i | 0.988293 | + | 0.152569i | \(0.0487545\pi\) |
−0.709868 | + | 0.704335i | \(0.751245\pi\) | |||||||
\(942\) | 2.26456e6 | + | 1.64530e6i | 0.0831491 | + | 0.0604114i | ||||
\(943\) | 281634. | − | 204619.i | 0.0103135 | − | 0.00749320i | ||||
\(944\) | 2.27554e6 | − | 7.00339e6i | 0.0831103 | − | 0.255787i | ||||
\(945\) | 1.21289e7 | 0.441817 | ||||||||
\(946\) | −356319. | − | 7.70786e6i | −0.0129453 | − | 0.280031i | ||||
\(947\) | −1.62114e6 | −0.0587417 | −0.0293708 | − | 0.999569i | \(-0.509350\pi\) | ||||
−0.0293708 | + | 0.999569i | \(0.509350\pi\) | |||||||
\(948\) | −8.22372e6 | + | 2.53100e7i | −0.297199 | + | 0.914684i | ||||
\(949\) | 2.12469e7 | − | 1.54368e7i | 0.765825 | − | 0.556404i | ||||
\(950\) | 1.35837e7 | + | 9.86912e6i | 0.488324 | + | 0.354788i | ||||
\(951\) | −1.31438e6 | − | 4.04525e6i | −0.0471270 | − | 0.145042i | ||||
\(952\) | 7.05202e6 | + | 2.17039e7i | 0.252186 | + | 0.776149i | ||||
\(953\) | −1.80644e7 | − | 1.31246e7i | −0.644305 | − | 0.468115i | 0.217021 | − | 0.976167i | \(-0.430366\pi\) |
−0.861327 | + | 0.508052i | \(0.830366\pi\) | |||||||
\(954\) | 2.92756e6 | − | 2.12700e6i | 0.104144 | − | 0.0756651i | ||||
\(955\) | −1.37187e7 | + | 4.22220e7i | −0.486750 | + | 1.49806i | ||||
\(956\) | −6.26904e7 | −2.21848 | ||||||||
\(957\) | 1.83511e6 | − | 691483.i | 0.0647712 | − | 0.0244063i | ||||
\(958\) | −2.01904e6 | −0.0710774 | ||||||||
\(959\) | −1.83133e7 | + | 5.63626e7i | −0.643014 | + | 1.97899i | ||||
\(960\) | 2.43719e7 | − | 1.77072e7i | 0.853516 | − | 0.620115i | ||||
\(961\) | −8.54098e6 | − | 6.20538e6i | −0.298331 | − | 0.216751i | ||||
\(962\) | 2.26842e7 | + | 6.98149e7i | 0.790290 | + | 2.43226i | ||||
\(963\) | −4.96568e6 | − | 1.52828e7i | −0.172549 | − | 0.531052i | ||||
\(964\) | −1.49486e7 | − | 1.08608e7i | −0.518095 | − | 0.376418i | ||||
\(965\) | −2.55775e7 | + | 1.85832e7i | −0.884179 | + | 0.642394i | ||||
\(966\) | 234669. | − | 722236.i | 0.00809119 | − | 0.0249021i | ||||
\(967\) | 1.23920e7 | 0.426164 | 0.213082 | − | 0.977034i | \(-0.431650\pi\) | ||||
0.213082 | + | 0.977034i | \(0.431650\pi\) | |||||||
\(968\) | 2.98586e6 | − | 1.32424e7i | 0.102419 | − | 0.454231i | ||||
\(969\) | 1.24734e7 | 0.426752 | ||||||||
\(970\) | 1.04993e7 | − | 3.23136e7i | 0.358288 | − | 1.10270i | ||||
\(971\) | 3.05313e7 | − | 2.21823e7i | 1.03920 | − | 0.755020i | 0.0690677 | − | 0.997612i | \(-0.477998\pi\) |
0.970128 | + | 0.242592i | \(0.0779976\pi\) | |||||||
\(972\) | 1.99738e6 | + | 1.45118e6i | 0.0678101 | + | 0.0492669i | ||||
\(973\) | −2.70146e7 | − | 8.31424e7i | −0.914779 | − | 2.81540i | ||||
\(974\) | 2.33099e7 | + | 7.17403e7i | 0.787303 | + | 2.42307i | ||||
\(975\) | −1.06136e7 | − | 7.71121e6i | −0.357561 | − | 0.259783i | ||||
\(976\) | −1.19134e6 | + | 865557.i | −0.0400323 | + | 0.0290851i | ||||
\(977\) | 2.67265e6 | − | 8.22557e6i | 0.0895789 | − | 0.275695i | −0.896224 | − | 0.443602i | \(-0.853701\pi\) |
0.985803 | + | 0.167906i | \(0.0537006\pi\) | |||||||
\(978\) | −2.01807e7 | −0.674666 | ||||||||
\(979\) | 5.80668e6 | − | 2.18800e6i | 0.193629 | − | 0.0729610i | ||||
\(980\) | −1.20697e8 | −4.01451 | ||||||||
\(981\) | −5.85783e6 | + | 1.80285e7i | −0.194341 | + | 0.598120i | ||||
\(982\) | −2.65171e7 | + | 1.92658e7i | −0.877501 | + | 0.637542i | ||||
\(983\) | −1.56170e7 | − | 1.13464e7i | −0.515481 | − | 0.374519i | 0.299418 | − | 0.954122i | \(-0.403208\pi\) |
−0.814899 | + | 0.579603i | \(0.803208\pi\) | |||||||
\(984\) | −2.01698e6 | − | 6.20761e6i | −0.0664068 | − | 0.204379i | ||||
\(985\) | 3.05606e6 | + | 9.40558e6i | 0.100362 | + | 0.308884i | ||||
\(986\) | 4.20919e6 | + | 3.05816e6i | 0.137882 | + | 0.100177i | ||||
\(987\) | −1.20159e6 | + | 873009.i | −0.0392613 | + | 0.0285250i | ||||
\(988\) | −1.48796e7 | + | 4.57949e7i | −0.484954 | + | 1.49253i | ||||
\(989\) | −90547.7 | −0.00294365 | ||||||||
\(990\) | −883925. | − | 1.91210e7i | −0.0286634 | − | 0.620044i | ||||
\(991\) | −2.59473e7 | −0.839283 | −0.419642 | − | 0.907690i | \(-0.637844\pi\) | ||||
−0.419642 | + | 0.907690i | \(0.637844\pi\) | |||||||
\(992\) | 1.54184e7 | − | 4.74529e7i | 0.497462 | − | 1.53103i | ||||
\(993\) | −1.76807e7 | + | 1.28458e7i | −0.569019 | + | 0.413417i | ||||
\(994\) | 1.28764e7 | + | 9.35526e6i | 0.413360 | + | 0.300324i | ||||
\(995\) | −1.34384e7 | − | 4.13592e7i | −0.430319 | − | 1.32439i | ||||
\(996\) | −2.76506e6 | − | 8.50999e6i | −0.0883195 | − | 0.271819i | ||||
\(997\) | 3.97731e7 | + | 2.88968e7i | 1.26722 | + | 0.920687i | 0.999088 | − | 0.0426955i | \(-0.0135945\pi\) |
0.268129 | + | 0.963383i | \(0.413595\pi\) | |||||||
\(998\) | −4.59761e7 | + | 3.34036e7i | −1.46119 | + | 1.06161i | ||||
\(999\) | −2.07683e6 | + | 6.39181e6i | −0.0658395 | + | 0.202633i |
(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 | 33.6.e.b.31.1 | yes | 20 | |
3.2 | odd | 2 | 99.6.f.b.64.5 | 20 | |||
11.4 | even | 5 | 363.6.a.r.1.2 | 10 | |||
11.5 | even | 5 | inner | 33.6.e.b.16.1 | ✓ | 20 | |
11.7 | odd | 10 | 363.6.a.t.1.9 | 10 | |||
33.5 | odd | 10 | 99.6.f.b.82.5 | 20 | |||
33.26 | odd | 10 | 1089.6.a.bk.1.9 | 10 | |||
33.29 | even | 10 | 1089.6.a.bi.1.2 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.e.b.16.1 | ✓ | 20 | 11.5 | even | 5 | inner | |
33.6.e.b.31.1 | yes | 20 | 1.1 | even | 1 | trivial | |
99.6.f.b.64.5 | 20 | 3.2 | odd | 2 | |||
99.6.f.b.82.5 | 20 | 33.5 | odd | 10 | |||
363.6.a.r.1.2 | 10 | 11.4 | even | 5 | |||
363.6.a.t.1.9 | 10 | 11.7 | odd | 10 | |||
1089.6.a.bi.1.2 | 10 | 33.29 | even | 10 | |||
1089.6.a.bk.1.9 | 10 | 33.26 | odd | 10 |