Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,6,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(4.33036313495\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.3 | ||
Character | \(\chi\) | \(=\) | 27.7 |
Dual form | 27.6.e.a.4.3 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.30121 | + | 2.65742i | −1.29068 | + | 0.469770i | −0.893951 | − | 0.448164i | \(-0.852078\pi\) |
−0.396732 | + | 0.917934i | \(0.629856\pi\) | |||||||
\(3\) | −0.728957 | + | 15.5714i | −0.0467626 | + | 0.998906i | ||||
\(4\) | 21.7323 | − | 18.2356i | 0.679135 | − | 0.569862i | ||||
\(5\) | 15.2097 | + | 86.2586i | 0.272080 | + | 1.54304i | 0.748088 | + | 0.663599i | \(0.230972\pi\) |
−0.476008 | + | 0.879441i | \(0.657917\pi\) | |||||||
\(6\) | −36.0575 | − | 115.627i | −0.408901 | − | 1.31124i | ||||
\(7\) | −90.4944 | − | 75.9338i | −0.698034 | − | 0.585720i | 0.223180 | − | 0.974777i | \(-0.428356\pi\) |
−0.921214 | + | 0.389057i | \(0.872801\pi\) | |||||||
\(8\) | 14.1040 | − | 24.4288i | 0.0779141 | − | 0.134951i | ||||
\(9\) | −241.937 | − | 22.7018i | −0.995627 | − | 0.0934229i | ||||
\(10\) | −340.275 | − | 589.373i | −1.07604 | − | 1.86376i | ||||
\(11\) | 19.6881 | − | 111.656i | 0.0490593 | − | 0.278229i | −0.950403 | − | 0.311021i | \(-0.899329\pi\) |
0.999462 | + | 0.0327925i | \(0.0104400\pi\) | |||||||
\(12\) | 268.112 | + | 351.696i | 0.537481 | + | 0.705041i | ||||
\(13\) | −178.502 | − | 64.9696i | −0.292945 | − | 0.106623i | 0.191367 | − | 0.981519i | \(-0.438708\pi\) |
−0.484312 | + | 0.874895i | \(0.660930\pi\) | |||||||
\(14\) | 862.507 | + | 313.927i | 1.17609 | + | 0.428063i | ||||
\(15\) | −1354.25 | + | 173.958i | −1.55408 | + | 0.199625i | ||||
\(16\) | −195.701 | + | 1109.87i | −0.191114 | + | 1.08386i | ||||
\(17\) | 522.735 | + | 905.403i | 0.438691 | + | 0.759836i | 0.997589 | − | 0.0694012i | \(-0.0221088\pi\) |
−0.558898 | + | 0.829237i | \(0.688776\pi\) | |||||||
\(18\) | 1826.76 | − | 477.179i | 1.32893 | − | 0.347136i | ||||
\(19\) | 1157.44 | − | 2004.75i | 0.735556 | − | 1.27402i | −0.218923 | − | 0.975742i | \(-0.570254\pi\) |
0.954479 | − | 0.298278i | \(-0.0964123\pi\) | |||||||
\(20\) | 1903.52 | + | 1597.24i | 1.06410 | + | 0.892885i | ||||
\(21\) | 1248.36 | − | 1353.77i | 0.617721 | − | 0.669880i | ||||
\(22\) | 152.972 | + | 867.547i | 0.0673837 | + | 0.382152i | ||||
\(23\) | −3297.53 | + | 2766.96i | −1.29978 | + | 1.09064i | −0.309597 | + | 0.950868i | \(0.600194\pi\) |
−0.990183 | + | 0.139777i | \(0.955361\pi\) | |||||||
\(24\) | 370.109 | + | 237.426i | 0.131160 | + | 0.0841395i | ||||
\(25\) | −4272.67 | + | 1555.12i | −1.36725 | + | 0.497639i | ||||
\(26\) | 1475.94 | 0.428188 | ||||||||
\(27\) | 529.860 | − | 3750.75i | 0.139879 | − | 0.990169i | ||||
\(28\) | −3351.35 | −0.807839 | ||||||||
\(29\) | −4184.88 | + | 1523.17i | −0.924034 | + | 0.336321i | −0.759842 | − | 0.650108i | \(-0.774724\pi\) |
−0.164192 | + | 0.986428i | \(0.552502\pi\) | |||||||
\(30\) | 9425.41 | − | 4868.93i | 1.91204 | − | 0.987712i | ||||
\(31\) | −1590.49 | + | 1334.58i | −0.297253 | + | 0.249425i | −0.779200 | − | 0.626776i | \(-0.784374\pi\) |
0.481947 | + | 0.876200i | \(0.339930\pi\) | |||||||
\(32\) | −1363.81 | − | 7734.53i | −0.235439 | − | 1.33524i | ||||
\(33\) | 1724.30 | + | 387.963i | 0.275630 | + | 0.0620163i | ||||
\(34\) | −6222.63 | − | 5221.41i | −0.923160 | − | 0.774623i | ||||
\(35\) | 5173.55 | − | 8960.85i | 0.713869 | − | 1.23646i | ||||
\(36\) | −5671.84 | + | 3918.51i | −0.729403 | + | 0.503923i | ||||
\(37\) | 5112.67 | + | 8855.40i | 0.613964 | + | 1.06342i | 0.990565 | + | 0.137042i | \(0.0437594\pi\) |
−0.376601 | + | 0.926376i | \(0.622907\pi\) | |||||||
\(38\) | −3123.27 | + | 17712.9i | −0.350873 | + | 1.98990i | ||||
\(39\) | 1141.79 | − | 2732.17i | 0.120205 | − | 0.287638i | ||||
\(40\) | 2321.71 | + | 845.032i | 0.229434 | + | 0.0835071i | ||||
\(41\) | −10111.3 | − | 3680.22i | −0.939395 | − | 0.341912i | −0.173468 | − | 0.984839i | \(-0.555497\pi\) |
−0.765927 | + | 0.642928i | \(0.777720\pi\) | |||||||
\(42\) | −5517.01 | + | 13201.6i | −0.482592 | + | 1.15479i | ||||
\(43\) | −2357.48 | + | 13369.9i | −0.194436 | + | 1.10270i | 0.718784 | + | 0.695233i | \(0.244699\pi\) |
−0.913220 | + | 0.407467i | \(0.866412\pi\) | |||||||
\(44\) | −1608.25 | − | 2785.58i | −0.125234 | − | 0.216912i | ||||
\(45\) | −1721.57 | − | 21214.4i | −0.126734 | − | 1.56171i | ||||
\(46\) | 16723.0 | − | 28965.1i | 1.16525 | − | 2.01828i | ||||
\(47\) | 21534.9 | + | 18069.9i | 1.42199 | + | 1.19319i | 0.950262 | + | 0.311452i | \(0.100815\pi\) |
0.471732 | + | 0.881742i | \(0.343629\pi\) | |||||||
\(48\) | −17139.6 | − | 3856.38i | −1.07374 | − | 0.241589i | ||||
\(49\) | −495.214 | − | 2808.50i | −0.0294648 | − | 0.167103i | ||||
\(50\) | 27063.0 | − | 22708.6i | 1.53091 | − | 1.28459i | ||||
\(51\) | −14479.4 | + | 7479.71i | −0.779519 | + | 0.402679i | ||||
\(52\) | −5064.03 | + | 1843.16i | −0.259710 | + | 0.0945266i | ||||
\(53\) | −28194.5 | −1.37872 | −0.689358 | − | 0.724421i | \(-0.742107\pi\) | ||||
−0.689358 | + | 0.724421i | \(0.742107\pi\) | |||||||
\(54\) | 6098.72 | + | 28793.1i | 0.284613 | + | 1.34371i | ||||
\(55\) | 9930.78 | 0.442666 | ||||||||
\(56\) | −3131.30 | + | 1139.70i | −0.133430 | + | 0.0485646i | ||||
\(57\) | 30373.1 | + | 19484.4i | 1.23823 | + | 0.794328i | ||||
\(58\) | 26507.0 | − | 22242.0i | 1.03464 | − | 0.868167i | ||||
\(59\) | 1372.87 | + | 7785.96i | 0.0513453 | + | 0.291194i | 0.999658 | − | 0.0261430i | \(-0.00832254\pi\) |
−0.948313 | + | 0.317337i | \(0.897211\pi\) | |||||||
\(60\) | −26258.9 | + | 28476.1i | −0.941668 | + | 1.02118i | ||||
\(61\) | −8179.48 | − | 6863.40i | −0.281450 | − | 0.236164i | 0.491124 | − | 0.871090i | \(-0.336586\pi\) |
−0.772573 | + | 0.634925i | \(0.781031\pi\) | |||||||
\(62\) | 8065.94 | − | 13970.6i | 0.266487 | − | 0.461569i | ||||
\(63\) | 20170.1 | + | 20425.6i | 0.640261 | + | 0.648371i | ||||
\(64\) | 12479.4 | + | 21615.0i | 0.380843 | + | 0.659639i | ||||
\(65\) | 2889.21 | − | 16385.5i | 0.0848196 | − | 0.481036i | ||||
\(66\) | −13620.4 | + | 1749.58i | −0.384885 | + | 0.0494396i | ||||
\(67\) | 1309.03 | + | 476.449i | 0.0356257 | + | 0.0129667i | 0.359772 | − | 0.933040i | \(-0.382855\pi\) |
−0.324146 | + | 0.946007i | \(0.605077\pi\) | |||||||
\(68\) | 27870.8 | + | 10144.1i | 0.730932 | + | 0.266038i | ||||
\(69\) | −40681.7 | − | 53364.2i | −1.02867 | − | 1.34936i | ||||
\(70\) | −13960.4 | + | 79173.3i | −0.340528 | + | 1.93123i | ||||
\(71\) | −12237.2 | − | 21195.5i | −0.288096 | − | 0.498997i | 0.685259 | − | 0.728299i | \(-0.259689\pi\) |
−0.973355 | + | 0.229302i | \(0.926356\pi\) | |||||||
\(72\) | −3966.85 | + | 5590.04i | −0.0901808 | + | 0.127082i | ||||
\(73\) | −8112.50 | + | 14051.3i | −0.178175 | + | 0.308609i | −0.941256 | − | 0.337695i | \(-0.890353\pi\) |
0.763080 | + | 0.646304i | \(0.223686\pi\) | |||||||
\(74\) | −60861.2 | − | 51068.6i | −1.29200 | − | 1.08411i | ||||
\(75\) | −21100.9 | − | 67665.0i | −0.433159 | − | 1.38903i | ||||
\(76\) | −11403.9 | − | 64674.6i | −0.226474 | − | 1.28440i | ||||
\(77\) | −10260.2 | + | 8609.30i | −0.197209 | + | 0.165478i | ||||
\(78\) | −1075.89 | + | 22982.4i | −0.0200232 | + | 0.427719i | ||||
\(79\) | 53115.3 | − | 19332.4i | 0.957528 | − | 0.348512i | 0.184464 | − | 0.982839i | \(-0.440945\pi\) |
0.773064 | + | 0.634328i | \(0.218723\pi\) | |||||||
\(80\) | −98712.6 | −1.72444 | ||||||||
\(81\) | 58018.3 | + | 10984.8i | 0.982544 | + | 0.186029i | ||||
\(82\) | 83604.8 | 1.37308 | ||||||||
\(83\) | 35199.8 | − | 12811.7i | 0.560848 | − | 0.204132i | −0.0460120 | − | 0.998941i | \(-0.514651\pi\) |
0.606860 | + | 0.794809i | \(0.292429\pi\) | |||||||
\(84\) | 2442.99 | − | 52185.2i | 0.0377766 | − | 0.806955i | ||||
\(85\) | −70148.1 | + | 58861.3i | −1.05310 | + | 0.883654i | ||||
\(86\) | −18317.1 | − | 103881.i | −0.267061 | − | 1.51458i | ||||
\(87\) | −20667.3 | − | 66274.8i | −0.292743 | − | 0.938750i | ||||
\(88\) | −2449.95 | − | 2055.75i | −0.0337249 | − | 0.0282985i | ||||
\(89\) | −27016.1 | + | 46793.2i | −0.361532 | + | 0.626193i | −0.988213 | − | 0.153083i | \(-0.951080\pi\) |
0.626681 | + | 0.779276i | \(0.284413\pi\) | |||||||
\(90\) | 68945.3 | + | 150316.i | 0.897219 | + | 1.95614i | ||||
\(91\) | 11220.1 | + | 19433.8i | 0.142034 | + | 0.246010i | ||||
\(92\) | −21206.0 | + | 120265.i | −0.261209 | + | 1.48139i | ||||
\(93\) | −19621.8 | − | 25738.9i | −0.235251 | − | 0.308591i | ||||
\(94\) | −205250. | − | 74704.9i | −2.39587 | − | 0.872026i | ||||
\(95\) | 190531. | + | 69347.7i | 2.16599 | + | 0.788357i | ||||
\(96\) | 121432. | − | 15598.2i | 1.34479 | − | 0.172742i | ||||
\(97\) | −16735.8 | + | 94913.6i | −0.180600 | + | 1.02423i | 0.750879 | + | 0.660440i | \(0.229630\pi\) |
−0.931479 | + | 0.363795i | \(0.881481\pi\) | |||||||
\(98\) | 11079.0 | + | 19189.4i | 0.116530 | + | 0.201835i | ||||
\(99\) | −7298.07 | + | 26566.9i | −0.0748377 | + | 0.272429i | ||||
\(100\) | −64496.4 | + | 111711.i | −0.644964 | + | 1.11711i | ||||
\(101\) | 100721. | + | 84514.9i | 0.982464 | + | 0.824385i | 0.984459 | − | 0.175613i | \(-0.0561908\pi\) |
−0.00199571 | + | 0.999998i | \(0.500635\pi\) | |||||||
\(102\) | 85840.7 | − | 93088.9i | 0.816945 | − | 0.885926i | ||||
\(103\) | −20044.8 | − | 113680.i | −0.186169 | − | 1.05582i | −0.924444 | − | 0.381319i | \(-0.875470\pi\) |
0.738274 | − | 0.674501i | \(-0.235641\pi\) | |||||||
\(104\) | −4104.72 | + | 3444.27i | −0.0372134 | + | 0.0312258i | ||||
\(105\) | 135762. | + | 87091.5i | 1.20172 | + | 0.770908i | ||||
\(106\) | 205854. | − | 74924.7i | 1.77948 | − | 0.647680i | ||||
\(107\) | 81670.0 | 0.689609 | 0.344805 | − | 0.938675i | \(-0.387945\pi\) | ||||
0.344805 | + | 0.938675i | \(0.387945\pi\) | |||||||
\(108\) | −56882.1 | − | 91174.9i | −0.469263 | − | 0.752170i | ||||
\(109\) | −1699.94 | −0.0137047 | −0.00685233 | − | 0.999977i | \(-0.502181\pi\) | ||||
−0.00685233 | + | 0.999977i | \(0.502181\pi\) | |||||||
\(110\) | −72506.7 | + | 26390.3i | −0.571342 | + | 0.207952i | ||||
\(111\) | −141618. | + | 73156.2i | −1.09096 | + | 0.563564i | ||||
\(112\) | 101987. | − | 85577.0i | 0.768243 | − | 0.644632i | ||||
\(113\) | 15290.5 | + | 86716.6i | 0.112648 | + | 0.638861i | 0.987888 | + | 0.155171i | \(0.0495927\pi\) |
−0.875239 | + | 0.483690i | \(0.839296\pi\) | |||||||
\(114\) | −273538. | − | 61545.6i | −1.97131 | − | 0.443542i | ||||
\(115\) | −288829. | − | 242356.i | −2.03655 | − | 1.70887i | ||||
\(116\) | −63171.2 | + | 109416.i | −0.435887 | + | 0.754979i | ||||
\(117\) | 41711.5 | + | 19770.9i | 0.281703 | + | 0.133525i | ||||
\(118\) | −30714.2 | − | 53198.6i | −0.203065 | − | 0.351718i | ||||
\(119\) | 21446.1 | − | 121627.i | 0.138829 | − | 0.787341i | ||||
\(120\) | −14850.8 | + | 35536.2i | −0.0941446 | + | 0.225278i | ||||
\(121\) | 139259. | + | 50686.1i | 0.864688 | + | 0.314721i | ||||
\(122\) | 77959.0 | + | 28374.8i | 0.474206 | + | 0.172597i | ||||
\(123\) | 64676.9 | − | 154765.i | 0.385466 | − | 0.922379i | ||||
\(124\) | −10228.2 | + | 58006.9i | −0.0597371 | + | 0.338786i | ||||
\(125\) | −62270.5 | − | 107856.i | −0.356457 | − | 0.617402i | ||||
\(126\) | −201546. | − | 95531.0i | −1.13096 | − | 0.536066i | ||||
\(127\) | −11229.6 | + | 19450.2i | −0.0617810 | + | 0.107008i | −0.895262 | − | 0.445541i | \(-0.853011\pi\) |
0.833481 | + | 0.552549i | \(0.186345\pi\) | |||||||
\(128\) | 43969.4 | + | 36894.7i | 0.237206 | + | 0.199040i | ||||
\(129\) | −206470. | − | 46455.3i | −1.09240 | − | 0.245788i | ||||
\(130\) | 22448.6 | + | 127312.i | 0.116501 | + | 0.660711i | ||||
\(131\) | −64614.5 | + | 54218.0i | −0.328967 | + | 0.276036i | −0.792279 | − | 0.610159i | \(-0.791105\pi\) |
0.463312 | + | 0.886195i | \(0.346661\pi\) | |||||||
\(132\) | 44547.7 | − | 23012.2i | 0.222531 | − | 0.114954i | ||||
\(133\) | −256970. | + | 93529.6i | −1.25966 | + | 0.458480i | ||||
\(134\) | −10823.6 | −0.0520729 | ||||||||
\(135\) | 331594. | − | 11342.9i | 1.56593 | − | 0.0535662i | ||||
\(136\) | 29490.5 | 0.136721 | ||||||||
\(137\) | 59904.6 | − | 21803.5i | 0.272684 | − | 0.0992487i | −0.202059 | − | 0.979373i | \(-0.564763\pi\) |
0.474743 | + | 0.880125i | \(0.342541\pi\) | |||||||
\(138\) | 438837. | + | 281515.i | 1.96158 | + | 1.25836i | ||||
\(139\) | 14161.3 | − | 11882.8i | 0.0621681 | − | 0.0521652i | −0.611174 | − | 0.791496i | \(-0.709303\pi\) |
0.673342 | + | 0.739331i | \(0.264858\pi\) | |||||||
\(140\) | −50973.1 | − | 289083.i | −0.219797 | − | 1.24653i | ||||
\(141\) | −297072. | + | 322156.i | −1.25839 | + | 1.36464i | ||||
\(142\) | 145672. | + | 122233.i | 0.606255 | + | 0.508709i | ||||
\(143\) | −10768.6 | + | 18651.8i | −0.0440373 | + | 0.0762749i | ||||
\(144\) | 72543.3 | − | 264077.i | 0.291535 | − | 1.06127i | ||||
\(145\) | −195037. | − | 337815.i | −0.770367 | − | 1.33432i | ||||
\(146\) | 21890.9 | − | 124150.i | 0.0849928 | − | 0.482018i | ||||
\(147\) | 44093.3 | − | 5663.90i | 0.168298 | − | 0.0216184i | ||||
\(148\) | 272593. | + | 99215.9i | 1.02297 | + | 0.372329i | ||||
\(149\) | −370213. | − | 134747.i | −1.36611 | − | 0.497224i | −0.448173 | − | 0.893947i | \(-0.647925\pi\) |
−0.917938 | + | 0.396723i | \(0.870147\pi\) | |||||||
\(150\) | 333876. | + | 437963.i | 1.21160 | + | 1.58931i | ||||
\(151\) | −65677.3 | + | 372475.i | −0.234408 | + | 1.32940i | 0.609448 | + | 0.792826i | \(0.291391\pi\) |
−0.843856 | + | 0.536569i | \(0.819720\pi\) | |||||||
\(152\) | −32649.0 | − | 56549.8i | −0.114620 | − | 0.198528i | ||||
\(153\) | −105915. | − | 230918.i | −0.365787 | − | 0.797496i | ||||
\(154\) | 52033.0 | − | 90123.9i | 0.176798 | − | 0.306223i | ||||
\(155\) | −139309. | − | 116895.i | −0.465748 | − | 0.390809i | ||||
\(156\) | −25009.1 | − | 80197.7i | −0.0822785 | − | 0.263846i | ||||
\(157\) | 86389.7 | + | 489940.i | 0.279713 | + | 1.58633i | 0.723581 | + | 0.690240i | \(0.242495\pi\) |
−0.443868 | + | 0.896092i | \(0.646394\pi\) | |||||||
\(158\) | −336431. | + | 282299.i | −1.07215 | + | 0.899637i | ||||
\(159\) | 20552.6 | − | 439028.i | 0.0644723 | − | 1.37721i | ||||
\(160\) | 646427. | − | 235280.i | 1.99627 | − | 0.726583i | ||||
\(161\) | 508514. | 1.54610 | ||||||||
\(162\) | −452795. | + | 73976.7i | −1.35554 | + | 0.221466i | ||||
\(163\) | 179032. | 0.527791 | 0.263895 | − | 0.964551i | \(-0.414993\pi\) | ||||
0.263895 | + | 0.964551i | \(0.414993\pi\) | |||||||
\(164\) | −286854. | + | 104406.i | −0.832819 | + | 0.303121i | ||||
\(165\) | −7239.11 | + | 154636.i | −0.0207002 | + | 0.442182i | ||||
\(166\) | −222955. | + | 187081.i | −0.627982 | + | 0.526939i | ||||
\(167\) | −21364.3 | − | 121163.i | −0.0592787 | − | 0.336186i | 0.940717 | − | 0.339193i | \(-0.110154\pi\) |
−0.999995 | + | 0.00300698i | \(0.999043\pi\) | |||||||
\(168\) | −15464.1 | − | 49589.5i | −0.0422720 | − | 0.135555i | ||||
\(169\) | −256785. | − | 215468.i | −0.691596 | − | 0.580318i | ||||
\(170\) | 355747. | − | 616172.i | 0.944101 | − | 1.63523i | ||||
\(171\) | −325540. | + | 458748.i | −0.851362 | + | 1.19973i | ||||
\(172\) | 192575. | + | 333549.i | 0.496339 | + | 0.859684i | ||||
\(173\) | −4773.55 | + | 27072.1i | −0.0121262 | + | 0.0687713i | −0.990270 | − | 0.139157i | \(-0.955561\pi\) |
0.978144 | + | 0.207928i | \(0.0666720\pi\) | |||||||
\(174\) | 327016. | + | 428964.i | 0.818835 | + | 1.07411i | ||||
\(175\) | 504739. | + | 183710.i | 1.24587 | + | 0.453458i | ||||
\(176\) | 120072. | + | 43702.5i | 0.292185 | + | 0.106347i | ||||
\(177\) | −122239. | + | 15702.0i | −0.293276 | + | 0.0376722i | ||||
\(178\) | 72900.7 | − | 413440.i | 0.172457 | − | 0.978054i | ||||
\(179\) | 85586.8 | + | 148241.i | 0.199652 | + | 0.345808i | 0.948416 | − | 0.317030i | \(-0.102685\pi\) |
−0.748764 | + | 0.662837i | \(0.769352\pi\) | |||||||
\(180\) | −424272. | − | 429645.i | −0.976029 | − | 0.988391i | ||||
\(181\) | 317675. | − | 550229.i | 0.720753 | − | 1.24838i | −0.239946 | − | 0.970786i | \(-0.577130\pi\) |
0.960698 | − | 0.277594i | \(-0.0895370\pi\) | |||||||
\(182\) | −133564. | − | 112073.i | −0.298889 | − | 0.250798i | ||||
\(183\) | 112835. | − | 122363.i | 0.249067 | − | 0.270098i | ||||
\(184\) | 21085.1 | + | 119580.i | 0.0459126 | + | 0.260383i | ||||
\(185\) | −686092. | + | 575699.i | −1.47385 | + | 1.23671i | ||||
\(186\) | 211662. | + | 135782.i | 0.448602 | + | 0.287779i | ||||
\(187\) | 111386. | − | 40541.1i | 0.232930 | − | 0.0847796i | ||||
\(188\) | 797518. | 1.64568 | ||||||||
\(189\) | −332758. | + | 299188.i | −0.677602 | + | 0.609242i | ||||
\(190\) | −1.57539e6 | −3.16596 | ||||||||
\(191\) | 599337. | − | 218141.i | 1.18874 | − | 0.432667i | 0.329460 | − | 0.944170i | \(-0.393133\pi\) |
0.859282 | + | 0.511503i | \(0.170911\pi\) | |||||||
\(192\) | −345673. | + | 178566.i | −0.676726 | + | 0.349580i | ||||
\(193\) | 54377.3 | − | 45628.0i | 0.105081 | − | 0.0881735i | −0.588733 | − | 0.808327i | \(-0.700373\pi\) |
0.693814 | + | 0.720154i | \(0.255929\pi\) | |||||||
\(194\) | −130034. | − | 737458.i | −0.248057 | − | 1.40680i | ||||
\(195\) | 253040. | + | 56933.4i | 0.476543 | + | 0.107221i | ||||
\(196\) | −61976.8 | − | 52004.7i | −0.115236 | − | 0.0966946i | ||||
\(197\) | −157256. | + | 272376.i | −0.288697 | + | 0.500038i | −0.973499 | − | 0.228691i | \(-0.926555\pi\) |
0.684802 | + | 0.728729i | \(0.259889\pi\) | |||||||
\(198\) | −17314.8 | − | 213365.i | −0.0313873 | − | 0.386776i | ||||
\(199\) | 215818. | + | 373807.i | 0.386326 | + | 0.669136i | 0.991952 | − | 0.126613i | \(-0.0404106\pi\) |
−0.605626 | + | 0.795749i | \(0.707077\pi\) | |||||||
\(200\) | −22271.7 | + | 126309.i | −0.0393712 | + | 0.223285i | ||||
\(201\) | −8373.21 | + | 20036.2i | −0.0146185 | + | 0.0349804i | ||||
\(202\) | −959977. | − | 349403.i | −1.65532 | − | 0.602488i | ||||
\(203\) | 494368. | + | 179935.i | 0.841997 | + | 0.306462i | ||||
\(204\) | −178275. | + | 426593.i | −0.299927 | + | 0.717692i | ||||
\(205\) | 163660. | − | 928163.i | 0.271993 | − | 1.54255i | ||||
\(206\) | 448446. | + | 776731.i | 0.736278 | + | 1.27527i | ||||
\(207\) | 860611. | − | 594571.i | 1.39599 | − | 0.964446i | ||||
\(208\) | 107041. | − | 185400.i | 0.171550 | − | 0.297134i | ||||
\(209\) | −201056. | − | 168706.i | −0.318383 | − | 0.267155i | ||||
\(210\) | −1.22266e6 | − | 275097.i | −1.91319 | − | 0.430464i | ||||
\(211\) | −80761.0 | − | 458018.i | −0.124881 | − | 0.708234i | −0.981379 | − | 0.192083i | \(-0.938476\pi\) |
0.856498 | − | 0.516151i | \(-0.172636\pi\) | |||||||
\(212\) | −612732. | + | 514143.i | −0.936334 | + | 0.785678i | ||||
\(213\) | 338964. | − | 175100.i | 0.511924 | − | 0.264447i | ||||
\(214\) | −596289. | + | 217032.i | −0.890067 | + | 0.323958i | ||||
\(215\) | −1.18913e6 | −1.75441 | ||||||||
\(216\) | −84153.1 | − | 65844.3i | −0.122726 | − | 0.0960248i | ||||
\(217\) | 245269. | 0.353585 | ||||||||
\(218\) | 12411.6 | − | 4517.47i | 0.0176884 | − | 0.00643804i | ||||
\(219\) | −212884. | − | 136566.i | −0.299939 | − | 0.192412i | ||||
\(220\) | 215819. | − | 181094.i | 0.300630 | − | 0.252259i | ||||
\(221\) | −34485.8 | − | 195579.i | −0.0474962 | − | 0.269365i | ||||
\(222\) | 839575. | − | 910467.i | 1.14334 | − | 1.23989i | ||||
\(223\) | 600177. | + | 503609.i | 0.808197 | + | 0.678158i | 0.950177 | − | 0.311711i | \(-0.100902\pi\) |
−0.141979 | + | 0.989870i | \(0.545347\pi\) | |||||||
\(224\) | −463896. | + | 803491.i | −0.617732 | + | 1.06994i | ||||
\(225\) | 1.06902e6 | − | 279245.i | 1.40776 | − | 0.367730i | ||||
\(226\) | −342082. | − | 592503.i | −0.445511 | − | 0.771648i | ||||
\(227\) | 143736. | − | 815166.i | 0.185140 | − | 1.04998i | −0.740635 | − | 0.671907i | \(-0.765475\pi\) |
0.925775 | − | 0.378074i | \(-0.123413\pi\) | |||||||
\(228\) | 1.01539e6 | − | 130429.i | 1.29358 | − | 0.166164i | ||||
\(229\) | 1.05668e6 | + | 384601.i | 1.33155 | + | 0.484643i | 0.907140 | − | 0.420829i | \(-0.138261\pi\) |
0.424406 | + | 0.905472i | \(0.360483\pi\) | |||||||
\(230\) | 2.75284e6 | + | 1.00195e6i | 3.43132 | + | 1.24890i | ||||
\(231\) | −126580. | − | 166041.i | −0.156075 | − | 0.204732i | ||||
\(232\) | −21814.1 | + | 123714.i | −0.0266084 | + | 0.150903i | ||||
\(233\) | 4401.54 | + | 7623.68i | 0.00531147 | + | 0.00919973i | 0.868669 | − | 0.495393i | \(-0.164976\pi\) |
−0.863357 | + | 0.504593i | \(0.831643\pi\) | |||||||
\(234\) | −357084. | − | 33506.3i | −0.426315 | − | 0.0400025i | ||||
\(235\) | −1.23114e6 | + | 2.13241e6i | −1.45425 | + | 2.51884i | ||||
\(236\) | 171817. | + | 144172.i | 0.200811 | + | 0.168500i | ||||
\(237\) | 262313. | + | 841172.i | 0.303354 | + | 0.972778i | ||||
\(238\) | 166632. | + | 945016.i | 0.190685 | + | 1.08143i | ||||
\(239\) | −555552. | + | 466164.i | −0.629115 | + | 0.527890i | −0.900654 | − | 0.434537i | \(-0.856912\pi\) |
0.271539 | + | 0.962427i | \(0.412467\pi\) | |||||||
\(240\) | 71957.2 | − | 1.53709e6i | 0.0806392 | − | 1.72255i | ||||
\(241\) | −532606. | + | 193853.i | −0.590695 | + | 0.214995i | −0.620035 | − | 0.784574i | \(-0.712882\pi\) |
0.0293402 | + | 0.999569i | \(0.490659\pi\) | |||||||
\(242\) | −1.15145e6 | −1.26389 | ||||||||
\(243\) | −213342. | + | 895418.i | −0.231771 | + | 0.972770i | ||||
\(244\) | −302917. | −0.325724 | ||||||||
\(245\) | 234725. | − | 85432.9i | 0.249830 | − | 0.0909306i | ||||
\(246\) | −60944.2 | + | 1.30184e6i | −0.0642089 | + | 1.37158i | ||||
\(247\) | −336854. | + | 282654.i | −0.351317 | + | 0.294790i | ||||
\(248\) | 10169.9 | + | 57676.4i | 0.0105000 | + | 0.0595482i | ||||
\(249\) | 173837. | + | 557449.i | 0.177682 | + | 0.569780i | ||||
\(250\) | 741268. | + | 621998.i | 0.750111 | + | 0.629418i | ||||
\(251\) | 421665. | − | 730345.i | 0.422458 | − | 0.731718i | −0.573721 | − | 0.819051i | \(-0.694501\pi\) |
0.996179 | + | 0.0873320i | \(0.0278341\pi\) | |||||||
\(252\) | 810817. | + | 76081.6i | 0.804306 | + | 0.0754706i | ||||
\(253\) | 244027. | + | 422667.i | 0.239683 | + | 0.415143i | ||||
\(254\) | 30302.1 | − | 171852.i | 0.0294706 | − | 0.167136i | ||||
\(255\) | −865417. | − | 1.13521e6i | −0.833442 | − | 1.09327i | ||||
\(256\) | −1.16959e6 | − | 425697.i | −1.11541 | − | 0.405976i | ||||
\(257\) | −1.08692e6 | − | 395605.i | −1.02651 | − | 0.373619i | −0.226759 | − | 0.973951i | \(-0.572813\pi\) |
−0.799751 | + | 0.600332i | \(0.795035\pi\) | |||||||
\(258\) | 1.63093e6 | − | 209498.i | 1.52541 | − | 0.195943i | ||||
\(259\) | 209756. | − | 1.18959e6i | 0.194297 | − | 1.10191i | ||||
\(260\) | −236011. | − | 408782.i | −0.216520 | − | 0.375024i | ||||
\(261\) | 1.04706e6 | − | 273508.i | 0.951413 | − | 0.248524i | ||||
\(262\) | 327684. | − | 567565.i | 0.294918 | − | 0.510814i | ||||
\(263\) | −1.17015e6 | − | 981876.i | −1.04317 | − | 0.875321i | −0.0508080 | − | 0.998708i | \(-0.516180\pi\) |
−0.992359 | + | 0.123388i | \(0.960624\pi\) | |||||||
\(264\) | 33796.9 | − | 36650.6i | 0.0298447 | − | 0.0323647i | ||||
\(265\) | −428830. | − | 2.43202e6i | −0.375120 | − | 2.12741i | ||||
\(266\) | 1.62765e6 | − | 1.36576e6i | 1.41045 | − | 1.18350i | ||||
\(267\) | −708943. | − | 454789.i | −0.608601 | − | 0.390419i | ||||
\(268\) | 37136.7 | − | 13516.6i | 0.0315839 | − | 0.0114956i | ||||
\(269\) | −142233. | −0.119845 | −0.0599225 | − | 0.998203i | \(-0.519085\pi\) | ||||
−0.0599225 | + | 0.998203i | \(0.519085\pi\) | |||||||
\(270\) | −2.39089e6 | + | 964002.i | −1.99595 | + | 0.804764i | ||||
\(271\) | 1.42384e6 | 1.17771 | 0.588856 | − | 0.808238i | \(-0.299578\pi\) | ||||
0.588856 | + | 0.808238i | \(0.299578\pi\) | |||||||
\(272\) | −1.10718e6 | + | 402981.i | −0.907396 | + | 0.330265i | ||||
\(273\) | −310790. | + | 160546.i | −0.252383 | + | 0.130375i | ||||
\(274\) | −379435. | + | 318384.i | −0.305324 | + | 0.256197i | ||||
\(275\) | 89519.1 | + | 507688.i | 0.0713812 | + | 0.404823i | ||||
\(276\) | −1.85724e6 | − | 417874.i | −1.46756 | − | 0.330197i | ||||
\(277\) | 448182. | + | 376069.i | 0.350958 | + | 0.294489i | 0.801175 | − | 0.598431i | \(-0.204209\pi\) |
−0.450217 | + | 0.892919i | \(0.648653\pi\) | |||||||
\(278\) | −71817.4 | + | 124391.i | −0.0557336 | + | 0.0965335i | ||||
\(279\) | 415095. | − | 286777.i | 0.319254 | − | 0.220563i | ||||
\(280\) | −145935. | − | 252767.i | −0.111241 | − | 0.192675i | ||||
\(281\) | −148657. | + | 843074.i | −0.112310 | + | 0.636942i | 0.875737 | + | 0.482789i | \(0.160376\pi\) |
−0.988047 | + | 0.154153i | \(0.950735\pi\) | |||||||
\(282\) | 1.31288e6 | − | 3.14157e6i | 0.983109 | − | 2.35247i | ||||
\(283\) | −1.61539e6 | − | 587956.i | −1.19898 | − | 0.436394i | −0.336113 | − | 0.941822i | \(-0.609112\pi\) |
−0.862869 | + | 0.505428i | \(0.831335\pi\) | |||||||
\(284\) | −652456. | − | 237475.i | −0.480016 | − | 0.174712i | ||||
\(285\) | −1.21873e6 | + | 2.91629e6i | −0.888783 | + | 2.12676i | ||||
\(286\) | 29058.3 | − | 164798.i | 0.0210066 | − | 0.119134i | ||||
\(287\) | 635565. | + | 1.10083e6i | 0.455465 | + | 0.788888i | ||||
\(288\) | 154368. | + | 1.90223e6i | 0.109667 | + | 1.35140i | ||||
\(289\) | 163426. | − | 283061.i | 0.115100 | − | 0.199359i | ||||
\(290\) | 2.32172e6 | + | 1.94816e6i | 1.62112 | + | 1.36028i | ||||
\(291\) | −1.46574e6 | − | 329788.i | −1.01467 | − | 0.228298i | ||||
\(292\) | 79929.6 | + | 453303.i | 0.0548593 | + | 0.311123i | ||||
\(293\) | −479985. | + | 402755.i | −0.326632 | + | 0.274077i | −0.791326 | − | 0.611395i | \(-0.790609\pi\) |
0.464694 | + | 0.885471i | \(0.346164\pi\) | |||||||
\(294\) | −306883. | + | 158528.i | −0.207064 | + | 0.106964i | ||||
\(295\) | −650725. | + | 236844.i | −0.435354 | + | 0.158456i | ||||
\(296\) | 288435. | 0.191346 | ||||||||
\(297\) | −408364. | − | 133007.i | −0.268631 | − | 0.0874953i | ||||
\(298\) | 3.06108e6 | 1.99680 | ||||||||
\(299\) | 768386. | − | 279670.i | 0.497052 | − | 0.180912i | ||||
\(300\) | −1.69248e6 | − | 1.08573e6i | −1.08573 | − | 0.696497i | ||||
\(301\) | 1.22857e6 | − | 1.03089e6i | 0.781596 | − | 0.655837i | ||||
\(302\) | −510298. | − | 2.89405e6i | −0.321964 | − | 1.82595i | ||||
\(303\) | −1.38944e6 | + | 1.50676e6i | −0.869425 | + | 0.942838i | ||||
\(304\) | 1.99851e6 | + | 1.67695e6i | 1.24029 | + | 1.04072i | ||||
\(305\) | 467619. | − | 809940.i | 0.287834 | − | 0.498544i | ||||
\(306\) | 1.38695e6 | + | 1.40452e6i | 0.846755 | + | 0.857479i | ||||
\(307\) | −212713. | − | 368430.i | −0.128810 | − | 0.223105i | 0.794406 | − | 0.607387i | \(-0.207782\pi\) |
−0.923216 | + | 0.384282i | \(0.874449\pi\) | |||||||
\(308\) | −65981.6 | + | 374200.i | −0.0396320 | + | 0.224764i | ||||
\(309\) | 1.78476e6 | − | 229258.i | 1.06337 | − | 0.136593i | ||||
\(310\) | 1.32777e6 | + | 483267.i | 0.784724 | + | 0.285616i | ||||
\(311\) | 1.35154e6 | + | 491921.i | 0.792371 | + | 0.288400i | 0.706321 | − | 0.707891i | \(-0.250353\pi\) |
0.0860499 | + | 0.996291i | \(0.472576\pi\) | |||||||
\(312\) | −50639.9 | − | 66426.9i | −0.0294514 | − | 0.0386329i | ||||
\(313\) | 114992. | − | 652151.i | 0.0663447 | − | 0.376260i | −0.933499 | − | 0.358580i | \(-0.883261\pi\) |
0.999844 | − | 0.0176796i | \(-0.00562788\pi\) | |||||||
\(314\) | −1.93273e6 | − | 3.34758e6i | −1.10623 | − | 1.91605i | ||||
\(315\) | −1.45510e6 | + | 2.05051e6i | −0.826260 | + | 1.16436i | ||||
\(316\) | 801781. | − | 1.38873e6i | 0.451687 | − | 0.782346i | ||||
\(317\) | 18344.6 | + | 15393.0i | 0.0102532 | + | 0.00860349i | 0.647900 | − | 0.761726i | \(-0.275648\pi\) |
−0.637647 | + | 0.770329i | \(0.720092\pi\) | |||||||
\(318\) | 1.01662e6 | + | 3.26005e6i | 0.563758 | + | 1.80783i | ||||
\(319\) | 87679.9 | + | 497257.i | 0.0482418 | + | 0.273593i | ||||
\(320\) | −1.67467e6 | + | 1.40522e6i | −0.914229 | + | 0.767130i | ||||
\(321\) | −59533.9 | + | 1.27172e6i | −0.0322479 | + | 0.688855i | ||||
\(322\) | −3.71277e6 | + | 1.35134e6i | −1.99553 | + | 0.726313i | ||||
\(323\) | 2.42014e6 | 1.29073 | ||||||||
\(324\) | 1.46119e6 | − | 819272.i | 0.773291 | − | 0.433576i | ||||
\(325\) | 863717. | 0.453590 | ||||||||
\(326\) | −1.30715e6 | + | 475764.i | −0.681211 | + | 0.247940i | ||||
\(327\) | 1239.19 | − | 26470.5i | 0.000640865 | − | 0.0136897i | ||||
\(328\) | −232513. | + | 195101.i | −0.119333 | + | 0.100133i | ||||
\(329\) | −576669. | − | 3.27045e6i | −0.293722 | − | 1.66578i | ||||
\(330\) | −358079. | − | 1.14827e6i | −0.181007 | − | 0.580442i | ||||
\(331\) | −1.08389e6 | − | 909488.i | −0.543768 | − | 0.456275i | 0.329056 | − | 0.944310i | \(-0.393269\pi\) |
−0.872824 | + | 0.488035i | \(0.837714\pi\) | |||||||
\(332\) | 531345. | − | 920316.i | 0.264564 | − | 0.458239i | ||||
\(333\) | −1.03591e6 | − | 2.25852e6i | −0.511932 | − | 1.11612i | ||||
\(334\) | 477967. | + | 827864.i | 0.234440 | + | 0.406062i | ||||
\(335\) | −21187.8 | + | 120162.i | −0.0103151 | + | 0.0584999i | ||||
\(336\) | 1.25821e6 | + | 1.65046e6i | 0.608002 | + | 0.797547i | ||||
\(337\) | 1.89195e6 | + | 688612.i | 0.907474 | + | 0.330294i | 0.753244 | − | 0.657741i | \(-0.228488\pi\) |
0.154230 | + | 0.988035i | \(0.450710\pi\) | |||||||
\(338\) | 2.44743e6 | + | 890791.i | 1.16525 | + | 0.424116i | ||||
\(339\) | −1.36145e6 | + | 174882.i | −0.643429 | + | 0.0826504i | ||||
\(340\) | −451112. | + | 2.55838e6i | −0.211635 | + | 1.20024i | ||||
\(341\) | 117701. | + | 203863.i | 0.0548141 | + | 0.0949408i | ||||
\(342\) | 1.15775e6 | − | 4.21451e6i | 0.535241 | − | 1.94842i | ||||
\(343\) | −1.16117e6 | + | 2.01120e6i | −0.532917 | + | 0.923040i | ||||
\(344\) | 293361. | + | 246159.i | 0.133661 | + | 0.112155i | ||||
\(345\) | 3.98437e6 | − | 4.32080e6i | 1.80224 | − | 1.95441i | ||||
\(346\) | −37089.4 | − | 210345.i | −0.0166556 | − | 0.0944586i | ||||
\(347\) | 860726. | − | 722235.i | 0.383744 | − | 0.321999i | −0.430426 | − | 0.902626i | \(-0.641637\pi\) |
0.814170 | + | 0.580626i | \(0.197192\pi\) | |||||||
\(348\) | −1.65771e6 | − | 1.06342e6i | −0.733770 | − | 0.470715i | ||||
\(349\) | −1.95448e6 | + | 711371.i | −0.858948 | + | 0.312631i | −0.733683 | − | 0.679492i | \(-0.762200\pi\) |
−0.125265 | + | 0.992123i | \(0.539978\pi\) | |||||||
\(350\) | −4.17340e6 | −1.82104 | ||||||||
\(351\) | −338266. | + | 635094.i | −0.146552 | + | 0.275150i | ||||
\(352\) | −890462. | −0.383053 | ||||||||
\(353\) | −2.52914e6 | + | 920532.i | −1.08028 | + | 0.393190i | −0.820012 | − | 0.572347i | \(-0.806033\pi\) |
−0.260268 | + | 0.965536i | \(0.583811\pi\) | |||||||
\(354\) | 850766. | − | 439484.i | 0.360830 | − | 0.186395i | ||||
\(355\) | 1.64217e6 | − | 1.37794e6i | 0.691588 | − | 0.580311i | ||||
\(356\) | 266180. | + | 1.50958e6i | 0.111314 | + | 0.631293i | ||||
\(357\) | 1.87827e6 | + | 422607.i | 0.779988 | + | 0.175496i | ||||
\(358\) | −1.01882e6 | − | 854895.i | −0.420138 | − | 0.352538i | ||||
\(359\) | −1.84593e6 | + | 3.19725e6i | −0.755926 | + | 1.30930i | 0.188986 | + | 0.981980i | \(0.439480\pi\) |
−0.944912 | + | 0.327323i | \(0.893853\pi\) | |||||||
\(360\) | −542524. | − | 257152.i | −0.220629 | − | 0.104576i | ||||
\(361\) | −1.44130e6 | − | 2.49641e6i | −0.582085 | − | 1.00820i | ||||
\(362\) | −857219. | + | 4.86153e6i | −0.343812 | + | 1.94985i | ||||
\(363\) | −890767. | + | 2.13151e6i | −0.354811 | + | 0.849025i | ||||
\(364\) | 598224. | + | 217736.i | 0.236652 | + | 0.0861344i | ||||
\(365\) | −1.33543e6 | − | 486057.i | −0.524674 | − | 0.190966i | ||||
\(366\) | −498664. | + | 1.19325e6i | −0.194583 | + | 0.465616i | ||||
\(367\) | −535359. | + | 3.03617e6i | −0.207482 | + | 1.17669i | 0.686005 | + | 0.727597i | \(0.259363\pi\) |
−0.893487 | + | 0.449090i | \(0.851748\pi\) | |||||||
\(368\) | −2.42564e6 | − | 4.20134e6i | −0.933701 | − | 1.61722i | ||||
\(369\) | 2.36276e6 | + | 1.11993e6i | 0.903344 | + | 0.428177i | ||||
\(370\) | 3.47942e6 | − | 6.02653e6i | 1.32130 | − | 2.28857i | ||||
\(371\) | 2.55144e6 | + | 2.14091e6i | 0.962390 | + | 0.807541i | ||||
\(372\) | −895793. | − | 201552.i | −0.335622 | − | 0.0755143i | ||||
\(373\) | 262295. | + | 1.48755e6i | 0.0976154 | + | 0.553605i | 0.993914 | + | 0.110155i | \(0.0351346\pi\) |
−0.896299 | + | 0.443450i | \(0.853754\pi\) | |||||||
\(374\) | −705516. | + | 591998.i | −0.260812 | + | 0.218847i | ||||
\(375\) | 1.72486e6 | − | 891017.i | 0.633395 | − | 0.327196i | ||||
\(376\) | 745152. | − | 271213.i | 0.271816 | − | 0.0989330i | ||||
\(377\) | 845971. | 0.306551 | ||||||||
\(378\) | 1.63447e6 | − | 3.06871e6i | 0.588366 | − | 1.10466i | ||||
\(379\) | −2.07091e6 | −0.740566 | −0.370283 | − | 0.928919i | \(-0.620739\pi\) | ||||
−0.370283 | + | 0.928919i | \(0.620739\pi\) | |||||||
\(380\) | 5.40529e6 | − | 1.96736e6i | 1.92026 | − | 0.698917i | ||||
\(381\) | −294681. | − | 189039.i | −0.104002 | − | 0.0667174i | ||||
\(382\) | −3.79619e6 | + | 3.18538e6i | −1.33104 | + | 1.11687i | ||||
\(383\) | −469189. | − | 2.66090e6i | −0.163437 | − | 0.926898i | −0.950661 | − | 0.310231i | \(-0.899594\pi\) |
0.787224 | − | 0.616667i | \(-0.211517\pi\) | |||||||
\(384\) | −606554. | + | 657771.i | −0.209914 | + | 0.227639i | ||||
\(385\) | −898680. | − | 754082.i | −0.308996 | − | 0.259279i | ||||
\(386\) | −275767. | + | 477643.i | −0.0942051 | + | 0.163168i | ||||
\(387\) | 873882. | − | 3.18116e6i | 0.296603 | − | 1.07971i | ||||
\(388\) | 1.36710e6 | + | 2.36788e6i | 0.461020 | + | 0.798511i | ||||
\(389\) | 103270. | − | 585672.i | 0.0346018 | − | 0.196237i | −0.962607 | − | 0.270903i | \(-0.912678\pi\) |
0.997209 | + | 0.0746657i | \(0.0237890\pi\) | |||||||
\(390\) | −1.99879e6 | + | 256751.i | −0.665436 | + | 0.0854771i | ||||
\(391\) | −4.22895e6 | − | 1.53921e6i | −1.39891 | − | 0.509163i | ||||
\(392\) | −75592.6 | − | 27513.5i | −0.0248464 | − | 0.00904336i | ||||
\(393\) | −797150. | − | 1.04566e6i | −0.260351 | − | 0.341515i | ||||
\(394\) | 424343. | − | 2.40657e6i | 0.137713 | − | 0.781012i | ||||
\(395\) | 2.47545e6 | + | 4.28761e6i | 0.798291 | + | 1.38268i | ||||
\(396\) | 325859. | + | 710445.i | 0.104422 | + | 0.227663i | ||||
\(397\) | −1.93250e6 | + | 3.34718e6i | −0.615378 | + | 1.06587i | 0.374940 | + | 0.927049i | \(0.377663\pi\) |
−0.990318 | + | 0.138817i | \(0.955670\pi\) | |||||||
\(398\) | −2.56909e6 | − | 2.15572e6i | −0.812965 | − | 0.682159i | ||||
\(399\) | −1.26907e6 | − | 4.06957e6i | −0.399073 | − | 1.27972i | ||||
\(400\) | −889826. | − | 5.04645e6i | −0.278071 | − | 1.57702i | ||||
\(401\) | 2.10004e6 | − | 1.76214e6i | 0.652179 | − | 0.547243i | −0.255552 | − | 0.966795i | \(-0.582257\pi\) |
0.907731 | + | 0.419552i | \(0.137813\pi\) | |||||||
\(402\) | 7889.97 | − | 168539.i | 0.00243506 | − | 0.0520159i | ||||
\(403\) | 370613. | − | 134892.i | 0.113673 | − | 0.0413736i | ||||
\(404\) | 3.73008e6 | 1.13701 | ||||||||
\(405\) | −65092.2 | + | 5.17165e6i | −0.0197193 | + | 1.56672i | ||||
\(406\) | −4.08765e6 | −1.23072 | ||||||||
\(407\) | 1.08942e6 | − | 396517.i | 0.325994 | − | 0.118652i | ||||
\(408\) | −21497.3 | + | 459208.i | −0.00639342 | + | 0.136571i | ||||
\(409\) | 2.35410e6 | − | 1.97533e6i | 0.695853 | − | 0.583890i | −0.224738 | − | 0.974419i | \(-0.572152\pi\) |
0.920590 | + | 0.390529i | \(0.127708\pi\) | |||||||
\(410\) | 1.27160e6 | + | 7.21163e6i | 0.373588 | + | 2.11872i | ||||
\(411\) | 295843. | + | 948693.i | 0.0863888 | + | 0.277026i | ||||
\(412\) | −2.50863e6 | − | 2.10499e6i | −0.728106 | − | 0.610953i | ||||
\(413\) | 466980. | − | 808833.i | 0.134717 | − | 0.233337i | ||||
\(414\) | −4.70348e6 | + | 6.62809e6i | −1.34871 | + | 1.90059i | ||||
\(415\) | 1.64050e6 | + | 2.84142e6i | 0.467579 | + | 0.809870i | ||||
\(416\) | −259067. | + | 1.46924e6i | −0.0733969 | + | 0.416255i | ||||
\(417\) | 174709. | + | 229174.i | 0.0492010 | + | 0.0645395i | ||||
\(418\) | 1.91627e6 | + | 697466.i | 0.536434 | + | 0.195246i | ||||
\(419\) | −1.85402e6 | − | 674807.i | −0.515916 | − | 0.187778i | 0.0709230 | − | 0.997482i | \(-0.477406\pi\) |
−0.586839 | + | 0.809704i | \(0.699628\pi\) | |||||||
\(420\) | 4.53858e6 | − | 582994.i | 1.25544 | − | 0.161265i | ||||
\(421\) | 352225. | − | 1.99757e6i | 0.0968535 | − | 0.549284i | −0.897310 | − | 0.441401i | \(-0.854482\pi\) |
0.994164 | − | 0.107883i | \(-0.0344071\pi\) | |||||||
\(422\) | 1.80680e6 | + | 3.12947e6i | 0.493889 | + | 0.855441i | ||||
\(423\) | −4.79987e6 | − | 4.86066e6i | −1.30430 | − | 1.32082i | ||||
\(424\) | −397654. | + | 688756.i | −0.107421 | + | 0.186059i | ||||
\(425\) | −3.64148e6 | − | 3.05557e6i | −0.977926 | − | 0.820577i | ||||
\(426\) | −2.00953e6 | + | 2.17922e6i | −0.536502 | + | 0.581803i | ||||
\(427\) | 219033. | + | 1.24220e6i | 0.0581353 | + | 0.329702i | ||||
\(428\) | 1.77488e6 | − | 1.48930e6i | 0.468338 | − | 0.392982i | ||||
\(429\) | −282585. | − | 181279.i | −0.0741321 | − | 0.0475560i | ||||
\(430\) | 8.68206e6 | − | 3.16001e6i | 2.26439 | − | 0.824171i | ||||
\(431\) | 6.50918e6 | 1.68785 | 0.843924 | − | 0.536463i | \(-0.180240\pi\) | ||||
0.843924 | + | 0.536463i | \(0.180240\pi\) | |||||||
\(432\) | 4.05917e6 | + | 1.32210e6i | 1.04647 | + | 0.340844i | ||||
\(433\) | 3.80390e6 | 0.975010 | 0.487505 | − | 0.873120i | \(-0.337907\pi\) | ||||
0.487505 | + | 0.873120i | \(0.337907\pi\) | |||||||
\(434\) | −1.79076e6 | + | 651785.i | −0.456367 | + | 0.166104i | ||||
\(435\) | 5.40242e6 | − | 2.79075e6i | 1.36888 | − | 0.707128i | ||||
\(436\) | −36943.7 | + | 30999.5i | −0.00930732 | + | 0.00780977i | ||||
\(437\) | 1.73036e6 | + | 9.81333e6i | 0.433443 | + | 2.45818i | ||||
\(438\) | 1.91723e6 | + | 431372.i | 0.477516 | + | 0.107440i | ||||
\(439\) | 1.91848e6 | + | 1.60980e6i | 0.475112 | + | 0.398666i | 0.848655 | − | 0.528946i | \(-0.177413\pi\) |
−0.373543 | + | 0.927613i | \(0.621857\pi\) | |||||||
\(440\) | 140063. | − | 242597.i | 0.0344899 | − | 0.0597383i | ||||
\(441\) | 56052.9 | + | 690723.i | 0.0137247 | + | 0.169125i | ||||
\(442\) | 771523. | + | 1.33632e6i | 0.187842 | + | 0.325352i | ||||
\(443\) | 702796. | − | 3.98576e6i | 0.170145 | − | 0.964943i | −0.773454 | − | 0.633853i | \(-0.781473\pi\) |
0.943599 | − | 0.331090i | \(-0.107416\pi\) | |||||||
\(444\) | −1.74364e6 | + | 4.17234e6i | −0.419758 | + | 1.00444i | ||||
\(445\) | −4.44722e6 | − | 1.61866e6i | −1.06461 | − | 0.387485i | ||||
\(446\) | −5.72032e6 | − | 2.08203e6i | −1.36171 | − | 0.495620i | ||||
\(447\) | 2.36806e6 | − | 5.66651e6i | 0.560563 | − | 1.34137i | ||||
\(448\) | 511992. | − | 2.90365e6i | 0.120523 | − | 0.683517i | ||||
\(449\) | 1.17443e6 | + | 2.03418e6i | 0.274924 | + | 0.476183i | 0.970116 | − | 0.242642i | \(-0.0780139\pi\) |
−0.695192 | + | 0.718824i | \(0.744681\pi\) | |||||||
\(450\) | −7.06307e6 | + | 4.87967e6i | −1.64423 | + | 1.13595i | ||||
\(451\) | −609993. | + | 1.05654e6i | −0.141216 | + | 0.244593i | ||||
\(452\) | 1.91363e6 | + | 1.60572e6i | 0.440566 | + | 0.369679i | ||||
\(453\) | −5.75208e6 | − | 1.29421e6i | −1.31698 | − | 0.296318i | ||||
\(454\) | 1.11680e6 | + | 6.33366e6i | 0.254293 | + | 1.44217i | ||||
\(455\) | −1.50567e6 | + | 1.26341e6i | −0.340959 | + | 0.286099i | ||||
\(456\) | 904360. | − | 467169.i | 0.203671 | − | 0.105211i | ||||
\(457\) | 7.88409e6 | − | 2.86957e6i | 1.76588 | − | 0.642727i | 0.765879 | − | 0.642985i | \(-0.222304\pi\) |
1.00000 | 0.000257404i | \(8.19343e-5\pi\) | ||||||||
\(458\) | −8.73712e6 | −1.94628 | ||||||||
\(459\) | 3.67292e6 | − | 1.48091e6i | 0.813729 | − | 0.328093i | ||||
\(460\) | −1.06964e7 | −2.35691 | ||||||||
\(461\) | −3.23672e6 | + | 1.17807e6i | −0.709338 | + | 0.258178i | −0.671393 | − | 0.741102i | \(-0.734304\pi\) |
−0.0379455 | + | 0.999280i | \(0.512081\pi\) | |||||||
\(462\) | 1.36543e6 | + | 875924.i | 0.297621 | + | 0.190924i | ||||
\(463\) | −1.98068e6 | + | 1.66198e6i | −0.429399 | + | 0.360309i | −0.831725 | − | 0.555188i | \(-0.812646\pi\) |
0.402326 | + | 0.915497i | \(0.368202\pi\) | |||||||
\(464\) | −871544. | − | 4.94277e6i | −0.187929 | − | 1.06580i | ||||
\(465\) | 1.92176e6 | − | 2.08403e6i | 0.412161 | − | 0.446964i | ||||
\(466\) | −52395.9 | − | 43965.4i | −0.0111772 | − | 0.00937877i | ||||
\(467\) | −796002. | + | 1.37872e6i | −0.168897 | + | 0.292538i | −0.938032 | − | 0.346548i | \(-0.887354\pi\) |
0.769135 | + | 0.639086i | \(0.220687\pi\) | |||||||
\(468\) | 1.26702e6 | − | 330966.i | 0.267405 | − | 0.0698504i | ||||
\(469\) | −82281.5 | − | 142516.i | −0.0172731 | − | 0.0299179i | ||||
\(470\) | 3.32214e6 | − | 1.88408e7i | 0.693703 | − | 3.93419i | ||||
\(471\) | −7.69203e6 | + | 988064.i | −1.59768 | + | 0.205226i | ||||
\(472\) | 209564. | + | 76275.2i | 0.0432974 | + | 0.0157590i | ||||
\(473\) | 1.44642e6 | + | 526455.i | 0.297264 | + | 0.108195i | ||||
\(474\) | −4.15055e6 | − | 5.44449e6i | −0.848516 | − | 1.11304i | ||||
\(475\) | −1.82773e6 | + | 1.03656e7i | −0.371688 | + | 2.10795i | ||||
\(476\) | −1.75187e6 | − | 3.03432e6i | −0.354392 | − | 0.613825i | ||||
\(477\) | 6.82130e6 | + | 640064.i | 1.37269 | + | 0.128804i | ||||
\(478\) | 2.81741e6 | − | 4.87989e6i | 0.564001 | − | 0.976879i | ||||
\(479\) | −4.04762e6 | − | 3.39635e6i | −0.806048 | − | 0.676354i | 0.143613 | − | 0.989634i | \(-0.454128\pi\) |
−0.949661 | + | 0.313280i | \(0.898572\pi\) | |||||||
\(480\) | 3.19242e6 | + | 1.02373e7i | 0.632437 | + | 2.02806i | ||||
\(481\) | −337292. | − | 1.91288e6i | −0.0664727 | − | 0.376985i | ||||
\(482\) | 3.37352e6 | − | 2.83072e6i | 0.661402 | − | 0.554982i | ||||
\(483\) | −370685. | + | 7.91828e6i | −0.0722998 | + | 1.54441i | ||||
\(484\) | 3.95071e6 | − | 1.43794e6i | 0.766588 | − | 0.279015i | ||||
\(485\) | −8.44166e6 | −1.62957 | ||||||||
\(486\) | −821853. | − | 7.10457e6i | −0.157835 | − | 1.36442i | ||||
\(487\) | 1.06650e6 | 0.203769 | 0.101884 | − | 0.994796i | \(-0.467513\pi\) | ||||
0.101884 | + | 0.994796i | \(0.467513\pi\) | |||||||
\(488\) | −283027. | + | 103013.i | −0.0537995 | + | 0.0195814i | ||||
\(489\) | −130507. | + | 2.78778e6i | −0.0246809 | + | 0.527213i | ||||
\(490\) | −1.48674e6 | + | 1.24753e6i | −0.279735 | + | 0.234725i | ||||
\(491\) | −200366. | − | 1.13633e6i | −0.0375078 | − | 0.212717i | 0.960294 | − | 0.278991i | \(-0.0900000\pi\) |
−0.997801 | + | 0.0662739i | \(0.978889\pi\) | |||||||
\(492\) | −1.41665e6 | − | 4.54282e6i | −0.263845 | − | 0.846083i | ||||
\(493\) | −3.56666e6 | − | 2.99279e6i | −0.660914 | − | 0.554573i | ||||
\(494\) | 1.70831e6 | − | 2.95888e6i | 0.314956 | − | 0.545520i | ||||
\(495\) | −2.40263e6 | − | 225446.i | −0.440730 | − | 0.0413552i | ||||
\(496\) | −1.16995e6 | − | 2.02641e6i | −0.213532 | − | 0.369849i | ||||
\(497\) | −502055. | + | 2.84730e6i | −0.0911718 | + | 0.517061i | ||||
\(498\) | −2.75060e6 | − | 3.60810e6i | −0.496997 | − | 0.651936i | ||||
\(499\) | 8.89097e6 | + | 3.23605e6i | 1.59845 | + | 0.581787i | 0.979108 | − | 0.203339i | \(-0.0651792\pi\) |
0.619337 | + | 0.785125i | \(0.287401\pi\) | |||||||
\(500\) | −3.32010e6 | − | 1.20842e6i | −0.593917 | − | 0.216168i | ||||
\(501\) | 1.90225e6 | − | 244350.i | 0.338590 | − | 0.0434929i | ||||
\(502\) | −1.13783e6 | + | 6.45295e6i | −0.201520 | + | 1.14288i | ||||
\(503\) | −2.69276e6 | − | 4.66399e6i | −0.474544 | − | 0.821935i | 0.525031 | − | 0.851083i | \(-0.324054\pi\) |
−0.999575 | + | 0.0291482i | \(0.990721\pi\) | |||||||
\(504\) | 783450. | − | 204650.i | 0.137384 | − | 0.0358868i | ||||
\(505\) | −5.75820e6 | + | 9.97349e6i | −1.00475 | + | 1.74028i | ||||
\(506\) | −2.90490e6 | − | 2.43750e6i | −0.504376 | − | 0.423222i | ||||
\(507\) | 3.54233e6 | − | 3.84143e6i | 0.612024 | − | 0.663702i | ||||
\(508\) | 110641. | + | 627477.i | 0.0190220 | + | 0.107879i | ||||
\(509\) | −593152. | + | 497714.i | −0.101478 | + | 0.0851501i | −0.692115 | − | 0.721787i | \(-0.743321\pi\) |
0.590637 | + | 0.806937i | \(0.298876\pi\) | |||||||
\(510\) | 9.33533e6 | + | 5.98864e6i | 1.58929 | + | 1.01954i | ||||
\(511\) | 1.80110e6 | − | 655548.i | 0.305131 | − | 0.111059i | ||||
\(512\) | 7.83396e6 | 1.32071 | ||||||||
\(513\) | −6.90604e6 | − | 5.40352e6i | −1.15861 | − | 0.906533i | ||||
\(514\) | 8.98709e6 | 1.50041 | ||||||||
\(515\) | 9.50097e6 | − | 3.45807e6i | 1.57852 | − | 0.574534i | ||||
\(516\) | −5.33421e6 | + | 2.75552e6i | −0.881954 | + | 0.455595i | ||||
\(517\) | 2.44160e6 | − | 2.04875e6i | 0.401743 | − | 0.337103i | ||||
\(518\) | 1.62976e6 | + | 9.24284e6i | 0.266870 | + | 1.51349i | ||||
\(519\) | −418072. | − | 94065.3i | −0.0681290 | − | 0.0153289i | ||||
\(520\) | −359529. | − | 301681.i | −0.0583077 | − | 0.0489259i | ||||
\(521\) | −889778. | + | 1.54114e6i | −0.143611 | + | 0.248741i | −0.928854 | − | 0.370446i | \(-0.879205\pi\) |
0.785243 | + | 0.619188i | \(0.212538\pi\) | |||||||
\(522\) | −6.91795e6 | + | 4.77941e6i | −1.11122 | + | 0.767711i | ||||
\(523\) | −4.21350e6 | − | 7.29800e6i | −0.673580 | − | 1.16667i | −0.976882 | − | 0.213780i | \(-0.931422\pi\) |
0.303302 | − | 0.952895i | \(-0.401911\pi\) | |||||||
\(524\) | −415527. | + | 2.35657e6i | −0.0661105 | + | 0.374931i | ||||
\(525\) | −3.22855e6 | + | 7.72557e6i | −0.511222 | + | 1.22330i | ||||
\(526\) | 1.11528e7 | + | 4.05929e6i | 1.75760 | + | 0.639713i | ||||
\(527\) | −2.03973e6 | − | 742401.i | −0.319924 | − | 0.116443i | ||||
\(528\) | −768036. | + | 1.83783e6i | −0.119894 | + | 0.286893i | ||||
\(529\) | 2.10001e6 | − | 1.19097e7i | 0.326273 | − | 1.85039i | ||||
\(530\) | 9.59387e6 | + | 1.66171e7i | 1.48356 | + | 2.56960i | ||||
\(531\) | −155395. | − | 1.91488e6i | −0.0239166 | − | 0.294717i | ||||
\(532\) | −3.87900e6 | + | 6.71862e6i | −0.594211 | + | 1.02920i | ||||
\(533\) | 1.56579e6 | + | 1.31386e6i | 0.238735 | + | 0.200323i | ||||
\(534\) | 6.38470e6 | + | 1.43655e6i | 0.968919 | + | 0.218005i | ||||
\(535\) | 1.24218e6 | + | 7.04473e6i | 0.187629 | + | 1.06409i | ||||
\(536\) | 30101.6 | − | 25258.2i | 0.00452561 | − | 0.00379744i | ||||
\(537\) | −2.37070e6 | + | 1.22464e6i | −0.354766 | + | 0.183263i | ||||
\(538\) | 1.03847e6 | − | 377974.i | 0.154682 | − | 0.0562996i | ||||
\(539\) | −323337. | −0.0479384 | ||||||||
\(540\) | 6.99946e6 | − | 6.29331e6i | 1.03295 | − | 0.928742i | ||||
\(541\) | 159877. | 0.0234851 | 0.0117426 | − | 0.999931i | \(-0.496262\pi\) | ||||
0.0117426 | + | 0.999931i | \(0.496262\pi\) | |||||||
\(542\) | −1.03958e7 | + | 3.78376e6i | −1.52005 | + | 0.553255i | ||||
\(543\) | 8.33626e6 | + | 5.34773e6i | 1.21331 | + | 0.778342i | ||||
\(544\) | 6.28996e6 | − | 5.27790e6i | 0.911277 | − | 0.764653i | ||||
\(545\) | −25855.7 | − | 146635.i | −0.00372876 | − | 0.0211468i | ||||
\(546\) | 1.84250e6 | − | 1.99808e6i | 0.264500 | − | 0.286834i | ||||
\(547\) | −8.75688e6 | − | 7.34789e6i | −1.25136 | − | 1.05001i | −0.996548 | − | 0.0830209i | \(-0.973543\pi\) |
−0.254808 | − | 0.966992i | \(-0.582012\pi\) | |||||||
\(548\) | 904268. | − | 1.56624e6i | 0.128631 | − | 0.222795i | ||||
\(549\) | 1.82311e6 | + | 1.84620e6i | 0.258156 | + | 0.261425i | ||||
\(550\) | −2.00274e6 | − | 3.46885e6i | −0.282305 | − | 0.488966i | ||||
\(551\) | −1.79018e6 | + | 1.01526e7i | −0.251199 | + | 1.42462i | ||||
\(552\) | −1.87739e6 | + | 241157.i | −0.262245 | + | 0.0336862i | ||||
\(553\) | −6.27461e6 | − | 2.28377e6i | −0.872517 | − | 0.317570i | ||||
\(554\) | −4.27165e6 | − | 1.55475e6i | −0.591318 | − | 0.215222i | ||||
\(555\) | −8.46431e6 | − | 1.11031e7i | −1.16643 | − | 1.53007i | ||||
\(556\) | 91069.5 | − | 516481.i | 0.0124936 | − | 0.0708545i | ||||
\(557\) | −1.59282e6 | − | 2.75884e6i | −0.217534 | − | 0.376781i | 0.736519 | − | 0.676417i | \(-0.236468\pi\) |
−0.954054 | + | 0.299636i | \(0.903135\pi\) | |||||||
\(558\) | −2.26861e6 | + | 3.19690e6i | −0.308442 | + | 0.434654i | ||||
\(559\) | 1.28945e6 | − | 2.23340e6i | 0.174532 | − | 0.302299i | ||||
\(560\) | 8.93294e6 | + | 7.49562e6i | 1.20372 | + | 1.01004i | ||||
\(561\) | 550086. | + | 1.76399e6i | 0.0737945 | + | 0.236640i | ||||
\(562\) | −1.15503e6 | − | 6.55050e6i | −0.154260 | − | 0.874851i | ||||
\(563\) | −1.78594e6 | + | 1.49858e6i | −0.237463 | + | 0.199255i | −0.753751 | − | 0.657160i | \(-0.771758\pi\) |
0.516289 | + | 0.856415i | \(0.327313\pi\) | |||||||
\(564\) | −581356. | + | 1.24185e7i | −0.0769564 | + | 1.64388i | ||||
\(565\) | −7.24749e6 | + | 2.63787e6i | −0.955138 | + | 0.347642i | ||||
\(566\) | 1.33568e7 | 1.75251 | ||||||||
\(567\) | −4.41621e6 | − | 5.39961e6i | −0.576889 | − | 0.705350i | ||||
\(568\) | −690374. | −0.0897870 | ||||||||
\(569\) | 8.40501e6 | − | 3.05917e6i | 1.08832 | − | 0.396117i | 0.265323 | − | 0.964160i | \(-0.414521\pi\) |
0.822999 | + | 0.568043i | \(0.192299\pi\) | |||||||
\(570\) | 1.14839e6 | − | 2.45311e7i | 0.148049 | − | 3.16250i | ||||
\(571\) | −6.07464e6 | + | 5.09723e6i | −0.779705 | + | 0.654250i | −0.943174 | − | 0.332299i | \(-0.892176\pi\) |
0.163470 | + | 0.986548i | \(0.447731\pi\) | |||||||
\(572\) | 106100. | + | 601720.i | 0.0135589 | + | 0.0768962i | ||||
\(573\) | 2.95987e6 | + | 9.49153e6i | 0.376605 | + | 1.20767i | ||||
\(574\) | −7.56576e6 | − | 6.34843e6i | −0.958458 | − | 0.804241i | ||||
\(575\) | 9.78630e6 | − | 1.69504e7i | 1.23438 | − | 2.13801i | ||||
\(576\) | −2.52854e6 | − | 5.51279e6i | −0.317552 | − | 0.692333i | ||||
\(577\) | −5.17724e6 | − | 8.96724e6i | −0.647379 | − | 1.12129i | −0.983747 | − | 0.179562i | \(-0.942532\pi\) |
0.336368 | − | 0.941731i | \(-0.390801\pi\) | |||||||
\(578\) | −440990. | + | 2.50098e6i | −0.0549047 | + | 0.311380i | ||||
\(579\) | 670853. | + | 879992.i | 0.0831632 | + | 0.109089i | ||||
\(580\) | −1.03989e7 | − | 3.78488e6i | −1.28356 | − | 0.467177i | ||||
\(581\) | −4.15822e6 | − | 1.51347e6i | −0.511055 | − | 0.186009i | ||||
\(582\) | 1.15781e7 | − | 1.48723e6i | 1.41686 | − | 0.182000i | ||||
\(583\) | −555095. | + | 3.14810e6i | −0.0676388 | + | 0.383598i | ||||
\(584\) | 228837. | + | 396357.i | 0.0277647 | + | 0.0480899i | ||||
\(585\) | −1.07099e6 | + | 3.89868e6i | −0.129388 | + | 0.471008i | ||||
\(586\) | 2.43418e6 | − | 4.21612e6i | 0.292825 | − | 0.507188i | ||||
\(587\) | 3.02660e6 | + | 2.53962e6i | 0.362543 | + | 0.304210i | 0.805804 | − | 0.592183i | \(-0.201734\pi\) |
−0.443260 | + | 0.896393i | \(0.646178\pi\) | |||||||
\(588\) | 854964. | − | 927156.i | 0.101978 | − | 0.110588i | ||||
\(589\) | 834595. | + | 4.73322e6i | 0.0991260 | + | 0.562172i | ||||
\(590\) | 4.12168e6 | − | 3.45850e6i | 0.487466 | − | 0.409033i | ||||
\(591\) | −4.12664e6 | − | 2.64725e6i | −0.485991 | − | 0.311764i | ||||
\(592\) | −1.08289e7 | + | 3.94140e6i | −1.26993 | + | 0.462218i | ||||
\(593\) | −5.01185e6 | −0.585277 | −0.292639 | − | 0.956223i | \(-0.594533\pi\) | ||||
−0.292639 | + | 0.956223i | \(0.594533\pi\) | |||||||
\(594\) | 3.33501e6 | − | 114082.i | 0.387821 | − | 0.0132663i | ||||
\(595\) | 1.08176e7 | 1.25267 | ||||||||
\(596\) | −1.05028e7 | + | 3.82270e6i | −1.21112 | + | 0.440813i | ||||
\(597\) | −5.97802e6 | + | 3.08809e6i | −0.686470 | + | 0.354613i | ||||
\(598\) | −4.86695e6 | + | 4.08385e6i | −0.556549 | + | 0.467000i | ||||
\(599\) | −150458. | − | 853289.i | −0.0171336 | − | 0.0971693i | 0.975042 | − | 0.222021i | \(-0.0712655\pi\) |
−0.992175 | + | 0.124852i | \(0.960154\pi\) | |||||||
\(600\) | −1.95058e6 | − | 438876.i | −0.221200 | − | 0.0497696i | ||||
\(601\) | 1.26788e7 | + | 1.06388e7i | 1.43184 | + | 1.20145i | 0.944618 | + | 0.328171i | \(0.106432\pi\) |
0.487217 | + | 0.873281i | \(0.338012\pi\) | |||||||
\(602\) | −6.23051e6 | + | 1.07916e7i | −0.700701 | + | 1.21365i | ||||
\(603\) | −305888. | − | 144988.i | −0.0342585 | − | 0.0162382i | ||||
\(604\) | 5.36497e6 | + | 9.29240e6i | 0.598377 | + | 1.03642i | ||||
\(605\) | −2.25402e6 | + | 1.27832e7i | −0.250363 | + | 1.41988i | ||||
\(606\) | 6.14048e6 | − | 1.46935e7i | 0.679236 | − | 1.62534i | ||||
\(607\) | −2.87605e6 | − | 1.04680e6i | −0.316829 | − | 0.115316i | 0.178711 | − | 0.983902i | \(-0.442807\pi\) |
−0.495539 | + | 0.868585i | \(0.665030\pi\) | |||||||
\(608\) | −1.70843e7 | − | 6.21819e6i | −1.87430 | − | 0.682190i | ||||
\(609\) | −3.16222e6 | + | 7.56684e6i | −0.345500 | + | 0.826745i | ||||
\(610\) | −1.26183e6 | + | 7.15620e6i | −0.137302 | + | 0.778678i | ||||
\(611\) | −2.67003e6 | − | 4.62463e6i | −0.289344 | − | 0.501158i | ||||
\(612\) | −6.51269e6 | − | 3.08696e6i | −0.702881 | − | 0.333160i | ||||
\(613\) | 7.13829e6 | − | 1.23639e7i | 0.767261 | − | 1.32893i | −0.171782 | − | 0.985135i | \(-0.554952\pi\) |
0.939043 | − | 0.343800i | \(-0.111714\pi\) | |||||||
\(614\) | 2.53214e6 | + | 2.12472e6i | 0.271061 | + | 0.227447i | ||||
\(615\) | 1.43335e7 | + | 3.22501e6i | 1.52814 | + | 0.343830i | ||||
\(616\) | 65605.6 | + | 372068.i | 0.00696610 | + | 0.0395067i | ||||
\(617\) | 7.90763e6 | − | 6.63529e6i | 0.836244 | − | 0.701692i | −0.120471 | − | 0.992717i | \(-0.538441\pi\) |
0.956716 | + | 0.291024i | \(0.0939961\pi\) | |||||||
\(618\) | −1.24217e7 | + | 6.41673e6i | −1.30831 | + | 0.675838i | ||||
\(619\) | 6.92769e6 | − | 2.52147e6i | 0.726711 | − | 0.264501i | 0.0479389 | − | 0.998850i | \(-0.484735\pi\) |
0.678772 | + | 0.734349i | \(0.262512\pi\) | |||||||
\(620\) | −5.15916e6 | −0.539014 | ||||||||
\(621\) | 8.63095e6 | + | 1.38343e7i | 0.898111 | + | 1.43956i | ||||
\(622\) | −1.11751e7 | −1.15818 | ||||||||
\(623\) | 5.99799e6 | − | 2.18309e6i | 0.619135 | − | 0.225347i | ||||
\(624\) | 2.80892e6 | + | 1.80193e6i | 0.288787 | + | 0.185258i | ||||
\(625\) | −2.52835e6 | + | 2.12154e6i | −0.258904 | + | 0.217246i | ||||
\(626\) | 893462. | + | 5.06708e6i | 0.0911256 | + | 0.516799i | ||||
\(627\) | 2.77355e6 | − | 3.00774e6i | 0.281752 | − | 0.305542i | ||||
\(628\) | 1.08118e7 | + | 9.07218e6i | 1.09395 | + | 0.917936i | ||||
\(629\) | −5.34513e6 | + | 9.25804e6i | −0.538681 | + | 0.933024i | ||||
\(630\) | 5.17491e6 | − | 1.88380e7i | 0.519459 | − | 1.89097i | ||||
\(631\) | −3.10981e6 | − | 5.38634e6i | −0.310928 | − | 0.538543i | 0.667636 | − | 0.744488i | \(-0.267306\pi\) |
−0.978564 | + | 0.205945i | \(0.933973\pi\) | |||||||
\(632\) | 276869. | − | 1.57020e6i | 0.0275729 | − | 0.156373i | ||||
\(633\) | 7.19086e6 | − | 923687.i | 0.713299 | − | 0.0916253i | ||||
\(634\) | −174844. | − | 63637.9i | −0.0172754 | − | 0.00628771i | ||||
\(635\) | −1.84855e6 | − | 672816.i | −0.181927 | − | 0.0662159i | ||||
\(636\) | −7.55927e6 | − | 9.91588e6i | −0.741033 | − | 0.972050i | ||||
\(637\) | −94070.1 | + | 533498.i | −0.00918550 | + | 0.0520936i | ||||
\(638\) | −1.96159e6 | − | 3.39758e6i | −0.190791 | − | 0.330459i | ||||
\(639\) | 2.47947e6 | + | 5.40579e6i | 0.240218 | + | 0.523730i | ||||
\(640\) | −2.51372e6 | + | 4.35390e6i | −0.242587 | + | 0.420173i | ||||
\(641\) | −1.14493e7 | − | 9.60714e6i | −1.10062 | − | 0.923526i | −0.103149 | − | 0.994666i | \(-0.532892\pi\) |
−0.997466 | + | 0.0711401i | \(0.977336\pi\) | |||||||
\(642\) | −2.94482e6 | − | 9.44327e6i | −0.281982 | − | 0.904242i | ||||
\(643\) | −1.02816e6 | − | 5.83099e6i | −0.0980695 | − | 0.556180i | −0.993763 | − | 0.111509i | \(-0.964432\pi\) |
0.895694 | − | 0.444671i | \(-0.146679\pi\) | |||||||
\(644\) | 1.10512e7 | − | 9.27305e6i | 1.05001 | − | 0.881065i | ||||
\(645\) | 866822. | − | 1.85164e7i | 0.0820409 | − | 1.75249i | ||||
\(646\) | −1.76700e7 | + | 6.43134e6i | −1.66592 | + | 0.606346i | ||||
\(647\) | 9.02708e6 | 0.847786 | 0.423893 | − | 0.905712i | \(-0.360663\pi\) | ||||
0.423893 | + | 0.905712i | \(0.360663\pi\) | |||||||
\(648\) | 1.08663e6 | − | 1.26238e6i | 0.101659 | − | 0.118101i | ||||
\(649\) | 896382. | 0.0835375 | ||||||||
\(650\) | −6.30618e6 | + | 2.29526e6i | −0.585441 | + | 0.213083i | ||||
\(651\) | −178791. | + | 3.81919e6i | −0.0165346 | + | 0.353198i | ||||
\(652\) | 3.89078e6 | − | 3.26476e6i | 0.358441 | − | 0.300768i | ||||
\(653\) | 3.64825e6 | + | 2.06902e7i | 0.334812 | + | 1.89881i | 0.429080 | + | 0.903267i | \(0.358838\pi\) |
−0.0942676 | + | 0.995547i | \(0.530051\pi\) | |||||||
\(654\) | 61295.8 | + | 196560.i | 0.00560385 | + | 0.0179701i | ||||
\(655\) | −5.65954e6 | − | 4.74892e6i | −0.515440 | − | 0.432505i | ||||
\(656\) | 6.06337e6 | − | 1.05021e7i | 0.550116 | − | 0.952829i | ||||
\(657\) | 2.28171e6 | − | 3.21536e6i | 0.206227 | − | 0.290614i | ||||
\(658\) | 1.29013e7 | + | 2.23458e7i | 1.16164 | + | 2.01201i | ||||
\(659\) | −690590. | + | 3.91653e6i | −0.0619451 | + | 0.351308i | 0.938043 | + | 0.346518i | \(0.112636\pi\) |
−0.999989 | + | 0.00479037i | \(0.998475\pi\) | |||||||
\(660\) | 2.66256e6 | + | 3.49261e6i | 0.237925 | + | 0.312098i | ||||
\(661\) | 1.65156e7 | + | 6.01120e6i | 1.47025 | + | 0.535128i | 0.948169 | − | 0.317767i | \(-0.102933\pi\) |
0.522082 | + | 0.852895i | \(0.325155\pi\) | |||||||
\(662\) | 1.03306e7 | + | 3.76002e6i | 0.916177 | + | 0.333461i | ||||
\(663\) | 3.07057e6 | − | 394424.i | 0.271291 | − | 0.0348481i | ||||
\(664\) | 183483. | − | 1.04058e6i | 0.0161501 | − | 0.0915917i | ||||
\(665\) | −1.19762e7 | − | 2.07433e7i | −1.05018 | − | 1.81897i | ||||
\(666\) | 1.35652e7 | + | 1.37370e7i | 1.18506 | + | 1.20007i | ||||
\(667\) | 9.58523e6 | − | 1.66021e7i | 0.834234 | − | 1.44494i | ||||
\(668\) | −2.67378e6 | − | 2.24357e6i | −0.231838 | − | 0.194535i | ||||
\(669\) | −8.27940e6 | + | 8.97850e6i | −0.715210 | + | 0.775601i | ||||
\(670\) | −164625. | − | 933632.i | −0.0141680 | − | 0.0803506i | ||||
\(671\) | −927381. | + | 778165.i | −0.0795155 | + | 0.0667214i | ||||
\(672\) | −1.21733e7 | − | 7.80922e6i | −1.03989 | − | 0.667090i | ||||
\(673\) | −9.67616e6 | + | 3.52183e6i | −0.823503 | + | 0.299731i | −0.719190 | − | 0.694814i | \(-0.755487\pi\) |
−0.104314 | + | 0.994544i | \(0.533265\pi\) | |||||||
\(674\) | −1.56434e7 | −1.32642 | ||||||||
\(675\) | 3.56897e6 | + | 1.68497e7i | 0.301497 | + | 1.42342i | ||||
\(676\) | −9.50972e6 | −0.800389 | ||||||||
\(677\) | 1.16732e7 | − | 4.24871e6i | 0.978857 | − | 0.356275i | 0.197461 | − | 0.980311i | \(-0.436730\pi\) |
0.781396 | + | 0.624036i | \(0.214508\pi\) | |||||||
\(678\) | 9.47546e6 | − | 4.89478e6i | 0.791637 | − | 0.408940i | ||||
\(679\) | 8.72165e6 | − | 7.31834e6i | 0.725979 | − | 0.609169i | ||||
\(680\) | 448542. | + | 2.54381e6i | 0.0371990 | + | 0.210966i | ||||
\(681\) | 1.25885e7 | + | 2.83239e6i | 1.04017 | + | 0.234037i | ||||
\(682\) | −1.40111e6 | − | 1.17567e6i | −0.115348 | − | 0.0967885i | ||||
\(683\) | −9.31924e6 | + | 1.61414e7i | −0.764414 | + | 1.32400i | 0.176141 | + | 0.984365i | \(0.443638\pi\) |
−0.940556 | + | 0.339640i | \(0.889695\pi\) | |||||||
\(684\) | 1.29079e6 | + | 1.59061e7i | 0.105491 | + | 1.29994i | ||||
\(685\) | 2.79187e6 | + | 4.83566e6i | 0.227336 | + | 0.393758i | ||||
\(686\) | 3.13332e6 | − | 1.77699e7i | 0.254211 | − | 1.44170i | ||||
\(687\) | −6.75906e6 | + | 1.61737e7i | −0.546380 | + | 1.30743i | ||||
\(688\) | −1.43775e7 | − | 5.23300e6i | −1.15801 | − | 0.421483i | ||||
\(689\) | 5.03279e6 | + | 1.83178e6i | 0.403888 | + | 0.147003i | ||||
\(690\) | −1.76085e7 | + | 4.21352e7i | −1.40799 | + | 3.36917i | ||||
\(691\) | −1.92664e6 | + | 1.09265e7i | −0.153499 | + | 0.870537i | 0.806646 | + | 0.591035i | \(0.201281\pi\) |
−0.960145 | + | 0.279502i | \(0.909831\pi\) | |||||||
\(692\) | 389936. | + | 675389.i | 0.0309548 | + | 0.0536153i | ||||
\(693\) | 2.67776e6 | − | 1.84999e6i | 0.211806 | − | 0.146331i | ||||
\(694\) | −4.36506e6 | + | 7.56050e6i | −0.344026 | + | 0.595871i | ||||
\(695\) | 1.24038e6 | + | 1.04080e6i | 0.0974077 | + | 0.0817348i | ||||
\(696\) | −1.91050e6 | − | 429859.i | −0.149494 | − | 0.0336359i | ||||
\(697\) | −1.95346e6 | − | 1.10786e7i | −0.152308 | − | 0.863779i | ||||
\(698\) | 1.23796e7 | − | 1.03877e7i | 0.961765 | − | 0.807016i | ||||
\(699\) | −121920. | + | 62980.8i | −0.00943804 | + | 0.00487545i | ||||
\(700\) | 1.43192e7 | − | 5.21176e6i | 1.10452 | − | 0.402013i | ||||
\(701\) | −5.19782e6 | −0.399509 | −0.199754 | − | 0.979846i | \(-0.564014\pi\) | ||||
−0.199754 | + | 0.979846i | \(0.564014\pi\) | |||||||
\(702\) | 782039. | − | 5.53587e6i | 0.0598943 | − | 0.423978i | ||||
\(703\) | 2.36705e7 | 1.80642 | ||||||||
\(704\) | 2.65916e6 | − | 967853.i | 0.202214 | − | 0.0736000i | ||||
\(705\) | −3.23071e7 | − | 2.07251e7i | −2.44808 | − | 1.57045i | ||||
\(706\) | 1.60195e7 | − | 1.34420e7i | 1.20959 | − | 1.01497i | ||||
\(707\) | −2.69714e6 | − | 1.52963e7i | −0.202934 | − | 1.15090i | ||||
\(708\) | −2.37021e6 | + | 2.57034e6i | −0.177706 | + | 0.192712i | ||||
\(709\) | 1.64465e7 | + | 1.38002e7i | 1.22873 | + | 1.03103i | 0.998320 | + | 0.0579342i | \(0.0184514\pi\) |
0.230411 | + | 0.973094i | \(0.425993\pi\) | |||||||
\(710\) | −8.32805e6 | + | 1.44246e7i | −0.620008 | + | 1.07389i | ||||
\(711\) | −1.32894e7 | + | 3.47141e6i | −0.985899 | + | 0.257532i | ||||
\(712\) | 762067. | + | 1.31994e6i | 0.0563369 | + | 0.0975784i | ||||
\(713\) | 1.55196e6 | − | 8.80162e6i | 0.114329 | − | 0.648394i | ||||
\(714\) | −1.48367e7 | + | 1.90582e6i | −1.08916 | + | 0.139906i | ||||
\(715\) | −1.77267e6 | − | 645199.i | −0.129677 | − | 0.0471985i | ||||
\(716\) | 4.56325e6 | + | 1.66089e6i | 0.332653 | + | 0.121076i | ||||
\(717\) | −6.85385e6 | − | 8.99054e6i | −0.497894 | − | 0.653112i | ||||
\(718\) | 4.98109e6 | − | 2.82492e7i | 0.360590 | − | 2.04501i | ||||
\(719\) | 3.29670e6 | + | 5.71005e6i | 0.237825 | + | 0.411924i | 0.960090 | − | 0.279692i | \(-0.0902323\pi\) |
−0.722265 | + | 0.691616i | \(0.756899\pi\) | |||||||
\(720\) | 2.38823e7 | + | 2.24095e6i | 1.71690 | + | 0.161102i | ||||
\(721\) | −6.81819e6 | + | 1.18094e7i | −0.488462 | + | 0.846041i | ||||
\(722\) | 1.71572e7 | + | 1.43966e7i | 1.22491 | + | 1.02782i | ||||
\(723\) | −2.63031e6 | − | 8.43473e6i | −0.187138 | − | 0.600102i | ||||
\(724\) | −3.12993e6 | − | 1.77507e7i | −0.221916 | − | 1.25855i | ||||
\(725\) | 1.55119e7 | − | 1.30160e7i | 1.09602 | − | 0.919671i | ||||
\(726\) | 839359. | − | 1.79297e7i | 0.0591025 | − | 1.26250i | ||||
\(727\) | −1.15906e7 | + | 4.21862e6i | −0.813333 | + | 0.296029i | −0.715000 | − | 0.699125i | \(-0.753573\pi\) |
−0.0983330 | + | 0.995154i | \(0.531351\pi\) | |||||||
\(728\) | 632990. | 0.0442658 | ||||||||
\(729\) | −1.37874e7 | − | 3.97475e6i | −0.960868 | − | 0.277007i | ||||
\(730\) | 1.10419e7 | 0.766898 | ||||||||
\(731\) | −1.33375e7 | + | 4.85445e6i | −0.923168 | + | 0.336006i | ||||
\(732\) | 220813. | − | 4.71684e6i | 0.0152317 | − | 0.325367i | ||||
\(733\) | −2.03183e7 | + | 1.70491e7i | −1.39678 | + | 1.17204i | −0.434273 | + | 0.900781i | \(0.642995\pi\) |
−0.962507 | + | 0.271257i | \(0.912561\pi\) | |||||||
\(734\) | −4.15962e6 | − | 2.35904e7i | −0.284980 | − | 1.61620i | ||||
\(735\) | 1.15921e6 | + | 3.71727e6i | 0.0791484 | + | 0.253809i | ||||
\(736\) | 2.58983e7 | + | 2.17313e7i | 1.76229 | + | 1.47874i | ||||
\(737\) | 78970.9 | − | 136782.i | 0.00535548 | − | 0.00927597i | ||||
\(738\) | −2.02271e7 | − | 1.89798e6i | −1.36708 | − | 0.128277i | ||||
\(739\) | 2.34196e6 | + | 4.05640e6i | 0.157750 | + | 0.273231i | 0.934057 | − | 0.357124i | \(-0.116243\pi\) |
−0.776307 | + | 0.630355i | \(0.782909\pi\) | |||||||
\(740\) | −4.41215e6 | + | 2.50226e7i | −0.296191 | + | 1.67978i | ||||
\(741\) | −4.15577e6 | − | 5.45134e6i | −0.278039 | − | 0.364718i | ||||
\(742\) | −2.43179e7 | − | 8.85100e6i | −1.62150 | − | 0.590178i | ||||
\(743\) | 2.19074e7 | + | 7.97364e6i | 1.45586 | + | 0.529889i | 0.944221 | − | 0.329313i | \(-0.106817\pi\) |
0.511637 | + | 0.859202i | \(0.329039\pi\) | |||||||
\(744\) | −905516. | + | 116316.i | −0.0599741 | + | 0.00770384i | ||||
\(745\) | 5.99221e6 | − | 3.39835e7i | 0.395545 | − | 2.24325i | ||||
\(746\) | −5.86812e6 | − | 1.01639e7i | −0.386058 | − | 0.668672i | ||||
\(747\) | −8.80699e6 | + | 2.30052e6i | −0.577465 | + | 0.150843i | ||||
\(748\) | 1.68138e6 | − | 2.91224e6i | 0.109878 | − | 0.190315i | ||||
\(749\) | −7.39067e6 | − | 6.20151e6i | −0.481371 | − | 0.403918i | ||||
\(750\) | −1.02257e7 | + | 1.10892e7i | −0.663806 | + | 0.719857i | ||||
\(751\) | −1.57050e6 | − | 8.90675e6i | −0.101610 | − | 0.576261i | −0.992520 | − | 0.122081i | \(-0.961043\pi\) |
0.890910 | − | 0.454180i | \(-0.150068\pi\) | |||||||
\(752\) | −2.42697e7 | + | 2.03647e7i | −1.56502 | + | 1.31321i | ||||
\(753\) | 1.10651e7 | + | 7.09831e6i | 0.711163 | + | 0.456213i | ||||
\(754\) | −6.17661e6 | + | 2.24810e6i | −0.395660 | + | 0.144008i | ||||
\(755\) | −3.31281e7 | −2.11509 | ||||||||
\(756\) | −1.77575e6 | + | 1.25701e7i | −0.113000 | + | 0.799897i | ||||
\(757\) | −2.68190e7 | −1.70099 | −0.850496 | − | 0.525981i | \(-0.823698\pi\) | ||||
−0.850496 | + | 0.525981i | \(0.823698\pi\) | |||||||
\(758\) | 1.51202e7 | − | 5.50329e6i | 0.955837 | − | 0.347896i | ||||
\(759\) | −6.75941e6 | + | 3.49174e6i | −0.425897 | + | 0.220007i | ||||
\(760\) | 4.38132e6 | − | 3.67637e6i | 0.275151 | − | 0.230879i | ||||
\(761\) | −2.94924e6 | − | 1.67259e7i | −0.184607 | − | 1.04696i | −0.926460 | − | 0.376394i | \(-0.877164\pi\) |
0.741853 | − | 0.670563i | \(-0.233947\pi\) | |||||||
\(762\) | 2.65389e6 | + | 597119.i | 0.165575 | + | 0.0372541i | ||||
\(763\) | 153835. | + | 129083.i | 0.00956632 | + | 0.00802709i | ||||
\(764\) | 9.04706e6 | − | 1.56700e7i | 0.560756 | − | 0.971258i | ||||
\(765\) | 1.83077e7 | − | 1.26482e7i | 1.13105 | − | 0.781406i | ||||
\(766\) | 1.04968e7 | + | 1.81810e7i | 0.646375 | + | 1.11955i | ||||
\(767\) | 260789. | − | 1.47901e6i | 0.0160067 | − | 0.0907783i | ||||
\(768\) | 7.48128e6 | − | 1.79019e7i | 0.457692 | − | 1.09521i | ||||
\(769\) | 2.81470e6 | + | 1.02447e6i | 0.171639 | + | 0.0624716i | 0.426410 | − | 0.904530i | \(-0.359778\pi\) |
−0.254771 | + | 0.967001i | \(0.582000\pi\) | |||||||
\(770\) | 8.56536e6 | + | 3.11754e6i | 0.520618 | + | 0.189489i | ||||
\(771\) | 6.95244e6 | − | 1.66364e7i | 0.421212 | − | 1.00792i | ||||
\(772\) | 349692. | − | 1.98320e6i | 0.0211175 | − | 0.119763i | ||||
\(773\) | −7.04000e6 | − | 1.21936e7i | −0.423764 | − | 0.733980i | 0.572540 | − | 0.819877i | \(-0.305958\pi\) |
−0.996304 | + | 0.0858961i | \(0.972625\pi\) | |||||||
\(774\) | 2.07330e6 | + | 2.55486e7i | 0.124397 | + | 1.53290i | ||||
\(775\) | 4.72018e6 | − | 8.17560e6i | 0.282296 | − | 0.488951i | ||||
\(776\) | 2.08258e6 | + | 1.74749e6i | 0.124150 | + | 0.104174i | ||||
\(777\) | 1.83706e7 | + | 4.13336e6i | 1.09162 | + | 0.245613i | ||||
\(778\) | 802384. | + | 4.55055e6i | 0.0475262 | + | 0.269535i | ||||
\(779\) | −1.90812e7 | + | 1.60110e7i | −1.12658 | + | 0.945313i | ||||
\(780\) | 6.53736e6 | − | 3.37703e6i | 0.384739 | − | 0.198746i | ||||
\(781\) | −2.60754e6 | + | 949069.i | −0.152969 | + | 0.0556763i | ||||
\(782\) | 3.49668e7 | 2.04474 | ||||||||
\(783\) | 3.49564e6 | + | 1.65035e7i | 0.203762 | + | 0.961993i | ||||
\(784\) | 3.21399e6 | 0.186747 | ||||||||
\(785\) | −4.09476e7 | + | 1.49037e7i | −2.37167 | + | 0.863217i | ||||
\(786\) | 8.59892e6 | + | 5.51623e6i | 0.496464 | + | 0.318483i | ||||
\(787\) | −5.90066e6 | + | 4.95124e6i | −0.339597 | + | 0.284956i | −0.796597 | − | 0.604511i | \(-0.793368\pi\) |
0.457000 | + | 0.889467i | \(0.348924\pi\) | |||||||
\(788\) | 1.54939e6 | + | 8.78702e6i | 0.0888884 | + | 0.504111i | ||||
\(789\) | 1.61422e7 | − | 1.75052e7i | 0.923144 | − | 1.00109i | ||||
\(790\) | −2.94678e7 | − | 2.47264e7i | −1.67988 | − | 1.40959i | ||||
\(791\) | 5.20102e6 | − | 9.00843e6i | 0.295561 | − | 0.511927i | ||||
\(792\) | 546065. | + | 552981.i | 0.0309337 | + | 0.0313255i | ||||
\(793\) | 1.01414e6 | + | 1.75655e6i | 0.0572687 | + | 0.0991922i | ||||
\(794\) | 5.21468e6 | − | 2.95739e7i | 0.293546 | − | 1.66478i | ||||
\(795\) | 3.81825e7 | − | 4.90465e6i | 2.14263 | − | 0.275227i | ||||
\(796\) | 1.15068e7 | + | 4.18814e6i | 0.643683 | + | 0.234282i | ||||
\(797\) | 4.06824e6 | + | 1.48072e6i | 0.226861 | + | 0.0825708i | 0.452950 | − | 0.891536i | \(-0.350372\pi\) |
−0.226088 | + | 0.974107i | \(0.572594\pi\) | |||||||
\(798\) | 2.00803e7 | + | 2.63403e7i | 1.11625 | + | 1.46425i | ||||
\(799\) | −5.10352e6 | + | 2.89435e7i | −0.282815 | + | 1.60393i | ||||
\(800\) | 1.78552e7 | + | 3.09262e7i | 0.986372 | + | 1.70845i | ||||
\(801\) | 7.59848e6 | − | 1.07077e7i | 0.418452 | − | 0.589679i | ||||
\(802\) | −1.06501e7 | + | 1.84465e7i | −0.584678 | + | 1.01269i | ||||
\(803\) | 1.40920e6 | + | 1.18246e6i | 0.0771228 | + | 0.0647137i | ||||
\(804\) | 183402. | + | 588123.i | 0.0100061 | + | 0.0320869i | ||||
\(805\) | 7.73435e6 | + | 4.38637e7i | 0.420663 | + | 2.38570i | ||||
\(806\) | −2.34745e6 | + | 1.96975e6i | −0.127280 | + | 0.106800i | ||||
\(807\) | 103682. | − | 2.21477e6i | 0.00560426 | − | 0.119714i | ||||
\(808\) | 3.48516e6 | − | 1.26849e6i | 0.187799 | − | 0.0683534i | ||||
\(809\) | 1.19066e7 | 0.639610 | 0.319805 | − | 0.947483i | \(-0.396383\pi\) | ||||
0.319805 | + | 0.947483i | \(0.396383\pi\) | |||||||
\(810\) | −1.32680e7 | − | 3.79323e7i | −0.710547 | − | 2.03140i | ||||
\(811\) | −1.76170e7 | −0.940543 | −0.470272 | − | 0.882522i | \(-0.655844\pi\) | ||||
−0.470272 | + | 0.882522i | \(0.655844\pi\) | |||||||
\(812\) | 1.40250e7 | − | 5.10468e6i | 0.746471 | − | 0.271693i | ||||
\(813\) | −1.03792e6 | + | 2.21713e7i | −0.0550729 | + | 1.17642i | ||||
\(814\) | −6.90038e6 | + | 5.79010e6i | −0.365016 | + | 0.306285i | ||||
\(815\) | 2.72303e6 | + | 1.54430e7i | 0.143601 | + | 0.814402i | ||||
\(816\) | −5.46790e6 | − | 1.75341e7i | −0.287471 | − | 0.921847i | ||||
\(817\) | 2.40747e7 | + | 2.02011e7i | 1.26184 | + | 1.05881i | ||||
\(818\) | −1.19385e7 | + | 2.06781e7i | −0.623832 | + | 1.08051i | ||||
\(819\) | −2.27338e6 | − | 4.95646e6i | −0.118430 | − | 0.258204i | ||||
\(820\) | −1.33689e7 | − | 2.31556e7i | −0.694321 | − | 1.20260i | ||||
\(821\) | −4.99192e6 | + | 2.83106e7i | −0.258470 | + | 1.46585i | 0.528537 | + | 0.848910i | \(0.322741\pi\) |
−0.787007 | + | 0.616944i | \(0.788370\pi\) | |||||||
\(822\) | −4.68109e6 | − | 6.14043e6i | −0.241639 | − | 0.316971i | ||||
\(823\) | −1.16673e7 | − | 4.24655e6i | −0.600441 | − | 0.218543i | 0.0238743 | − | 0.999715i | \(-0.492400\pi\) |
−0.624316 | + | 0.781172i | \(0.714622\pi\) | |||||||
\(824\) | −3.05976e6 | − | 1.11366e6i | −0.156989 | − | 0.0571394i | ||||
\(825\) | −7.97067e6 | + | 1.02386e6i | −0.407718 | + | 0.0523726i | ||||
\(826\) | −1.26011e6 | + | 7.14642e6i | −0.0642625 | + | 0.364451i | ||||
\(827\) | 1.05391e7 | + | 1.82543e7i | 0.535847 | + | 0.928115i | 0.999122 | + | 0.0419001i | \(0.0133411\pi\) |
−0.463274 | + | 0.886215i | \(0.653326\pi\) | |||||||
\(828\) | 7.86074e6 | − | 2.86152e7i | 0.398462 | − | 1.45051i | ||||
\(829\) | 5.03813e6 | − | 8.72630e6i | 0.254615 | − | 0.441006i | −0.710176 | − | 0.704024i | \(-0.751385\pi\) |
0.964791 | + | 0.263019i | \(0.0847180\pi\) | |||||||
\(830\) | −1.95285e7 | − | 1.63863e7i | −0.983949 | − | 0.825631i | ||||
\(831\) | −6.18263e6 | + | 6.70469e6i | −0.310578 | + | 0.336803i | ||||
\(832\) | −823292. | − | 4.66912e6i | −0.0412331 | − | 0.233844i | ||||
\(833\) | 2.28396e6 | − | 1.91647e6i | 0.114045 | − | 0.0956950i | ||||
\(834\) | −1.88460e6 | − | 1.20897e6i | −0.0938217 | − | 0.0601868i | ||||
\(835\) | 1.01264e7 | − | 3.68572e6i | 0.502620 | − | 0.182939i | ||||
\(836\) | −7.44585e6 | −0.368467 | ||||||||
\(837\) | 4.16293e6 | + | 6.67266e6i | 0.205393 | + | 0.329219i | ||||
\(838\) | 1.53298e7 | 0.754096 | ||||||||
\(839\) | 2.13011e7 | − | 7.75296e6i | 1.04471 | − | 0.380244i | 0.238048 | − | 0.971253i | \(-0.423493\pi\) |
0.806665 | + | 0.591009i | \(0.201270\pi\) | |||||||
\(840\) | 4.04231e6 | − | 2.08816e6i | 0.197666 | − | 0.102109i | ||||
\(841\) | −519293. | + | 435739.i | −0.0253176 | + | 0.0212440i | ||||
\(842\) | 2.73671e6 | + | 1.55207e7i | 0.133030 | + | 0.754450i | ||||
\(843\) | −1.30195e7 | − | 2.92936e6i | −0.630993 | − | 0.141972i | ||||
\(844\) | −1.01074e7 | − | 8.48108e6i | −0.488407 | − | 0.409822i | ||||
\(845\) | 1.46803e7 | − | 2.54271e7i | 0.707285 | − | 1.22505i | ||||
\(846\) | 4.79617e7 | + | 2.27334e7i | 2.30393 | + | 1.09204i | ||||
\(847\) | −8.75336e6 | − | 1.51613e7i | −0.419243 | − | 0.726151i | ||||
\(848\) | 5.51768e6 | − | 3.12923e7i | 0.263492 | − | 1.49433i | ||||
\(849\) | 1.03328e7 | − | 2.47254e7i | 0.491984 | − | 1.17726i | ||||
\(850\) | 3.47072e7 | + | 1.26324e7i | 1.64768 | + | 0.599705i | ||||
\(851\) | −4.13617e7 | − | 1.50544e7i | −1.95783 | − | 0.712591i | ||||
\(852\) | 4.17343e6 | − | 9.98655e6i | 0.196967 | − | 0.471321i | ||||
\(853\) | 3.38954e6 | − | 1.92231e7i | 0.159503 | − | 0.904586i | −0.795050 | − | 0.606544i | \(-0.792555\pi\) |
0.954553 | − | 0.298042i | \(-0.0963336\pi\) | |||||||
\(854\) | −4.90025e6 | − | 8.48748e6i | −0.229918 | − | 0.398230i | ||||
\(855\) | −4.45223e7 | − | 2.11032e7i | −2.08287 | − | 0.987263i | ||||
\(856\) | 1.15187e6 | − | 1.99510e6i | 0.0537302 | − | 0.0930635i | ||||
\(857\) | 2.75016e7 | + | 2.30766e7i | 1.27911 | + | 1.07330i | 0.993367 | + | 0.114990i | \(0.0366835\pi\) |
0.285739 | + | 0.958308i | \(0.407761\pi\) | |||||||
\(858\) | 2.54495e6 | + | 572609.i | 0.118022 | + | 0.0265546i | ||||
\(859\) | −3.79333e6 | − | 2.15131e7i | −0.175404 | − | 0.994763i | −0.937677 | − | 0.347508i | \(-0.887028\pi\) |
0.762274 | − | 0.647255i | \(-0.224083\pi\) | |||||||
\(860\) | −2.58425e7 | + | 2.16844e7i | −1.19148 | + | 0.999774i | ||||
\(861\) | −1.76048e7 | + | 9.09418e6i | −0.809324 | + | 0.418076i | ||||
\(862\) | −4.75249e7 | + | 1.72976e7i | −2.17848 | + | 0.792901i | ||||
\(863\) | −1.14897e7 | −0.525146 | −0.262573 | − | 0.964912i | \(-0.584571\pi\) | ||||
−0.262573 | + | 0.964912i | \(0.584571\pi\) | |||||||
\(864\) | −2.97330e7 | + | 1.01708e6i | −1.35505 | + | 0.0463524i | ||||
\(865\) | −2.40781e6 | −0.109416 | ||||||||
\(866\) | −2.77730e7 | + | 1.01086e7i | −1.25843 | + | 0.458031i | ||||
\(867\) | 4.28853e6 | + | 2.75110e6i | 0.193759 | + | 0.124297i | ||||
\(868\) | 5.33028e6 | − | 4.47263e6i | 0.240132 | − | 0.201495i | ||||
\(869\) | −1.11285e6 | − | 6.31128e6i | −0.0499904 | − | 0.283510i | ||||
\(870\) | −3.20280e7 | + | 3.47324e7i | −1.43460 | + | 1.55574i | ||||
\(871\) | −202711. | − | 170095.i | −0.00905382 | − | 0.00759705i | ||||
\(872\) | −23975.9 | + | 41527.5i | −0.00106779 | + | 0.00184946i | ||||
\(873\) | 6.20373e6 | − | 2.25832e7i | 0.275497 | − | 1.00288i | ||||
\(874\) | −3.87119e7 | − | 6.70509e7i | −1.71422 | − | 2.96911i | ||||
\(875\) | −2.55476e6 | + | 1.44888e7i | −0.112805 | + | 0.639752i | ||||
\(876\) | −7.11683e6 | + | 914177.i | −0.313348 | + | 0.0402504i | ||||
\(877\) | 1.62746e7 | + | 5.92347e6i | 0.714515 | + | 0.260062i | 0.673596 | − | 0.739100i | \(-0.264749\pi\) |
0.0409196 | + | 0.999162i | \(0.486971\pi\) | |||||||
\(878\) | −1.82851e7 | − | 6.65525e6i | −0.800501 | − | 0.291359i | ||||
\(879\) | −5.92157e6 | − | 7.76763e6i | −0.258503 | − | 0.339091i | ||||
\(880\) | −1.94346e6 | + | 1.10219e7i | −0.0845997 | + | 0.479789i | ||||
\(881\) | 2.14721e7 | + | 3.71907e7i | 0.932040 | + | 1.61434i | 0.779829 | + | 0.625992i | \(0.215306\pi\) |
0.152210 | + | 0.988348i | \(0.451361\pi\) | |||||||
\(882\) | −2.24480e6 | − | 4.89415e6i | −0.0971640 | − | 0.211839i | ||||
\(883\) | −9.13755e6 | + | 1.58267e7i | −0.394392 | + | 0.683107i | −0.993023 | − | 0.117918i | \(-0.962378\pi\) |
0.598631 | + | 0.801025i | \(0.295711\pi\) | |||||||
\(884\) | −4.31595e6 | − | 3.62151e6i | −0.185757 | − | 0.155869i | ||||
\(885\) | −3.21365e6 | − | 1.03053e7i | −0.137924 | − | 0.442287i | ||||
\(886\) | 5.46058e6 | + | 3.09685e7i | 0.233698 | + | 1.32536i | ||||
\(887\) | 2.14189e7 | − | 1.79726e7i | 0.914089 | − | 0.767012i | −0.0588032 | − | 0.998270i | \(-0.518728\pi\) |
0.972893 | + | 0.231258i | \(0.0742840\pi\) | |||||||
\(888\) | −210257. | + | 4.49134e6i | −0.00894782 | + | 0.191136i | ||||
\(889\) | 2.49315e6 | − | 907431.i | 0.105802 | − | 0.0385087i | ||||
\(890\) | 3.67716e7 | 1.55610 | ||||||||
\(891\) | 2.36879e6 | − | 6.26185e6i | 0.0999614 | − | 0.264246i | ||||
\(892\) | 2.22269e7 | 0.935332 | ||||||||
\(893\) | 6.11511e7 | − | 2.22572e7i | 2.56611 | − | 0.933988i | ||||
\(894\) | −2.23140e6 | + | 4.76653e7i | −0.0933755 | + | 1.99461i | ||||
\(895\) | −1.14853e7 | + | 9.63729e6i | −0.479274 | + | 0.402158i | ||||
\(896\) | −1.17743e6 | − | 6.67753e6i | −0.0489964 | − | 0.277873i | ||||
\(897\) | 3.79473e6 | + | 1.21687e7i | 0.157471 | + | 0.504968i | ||||
\(898\) | −1.39805e7 | − | 1.17310e7i | −0.578537 | − | 0.485450i | ||||
\(899\) | 4.62320e6 | − | 8.00762e6i | 0.190785 | − | 0.330449i | ||||
\(900\) | 1.81401e7 | − | 2.55629e7i | 0.746507 | − | 1.05197i | ||||
\(901\) | −1.47382e7 | − | 2.55274e7i | −0.604830 | − | 1.04760i | ||||
\(902\) | 1.64601e6 | − | 9.33501e6i | 0.0673624 | − | 0.382031i | ||||
\(903\) | 1.51568e7 | + | 1.98820e7i | 0.618570 | + | 0.811410i | ||||
\(904\) | 2.33403e6 | + | 849519.i | 0.0949918 | + | 0.0345742i | ||||
\(905\) | 5.22937e7 | + | 1.90333e7i | 2.12240 | + | 0.772492i | ||||
\(906\) | 4.54364e7 | − | 5.83643e6i | 1.83901 | − | 0.236225i | ||||
\(907\) | 2.67336e6 | − | 1.51614e7i | 0.107904 | − | 0.611956i | −0.882116 | − | 0.471032i | \(-0.843882\pi\) |
0.990020 | − | 0.140924i | \(-0.0450072\pi\) | |||||||
\(908\) | −1.17413e7 | − | 2.03366e7i | −0.472609 | − | 0.818583i | ||||
\(909\) | −2.24495e7 | − | 2.27339e7i | −0.901150 | − | 0.912564i | ||||
\(910\) | 7.63582e6 | − | 1.32256e7i | 0.305670 | − | 0.529435i | ||||
\(911\) | −3.41873e7 | − | 2.86865e7i | −1.36480 | − | 1.14520i | −0.974468 | − | 0.224527i | \(-0.927916\pi\) |
−0.390330 | − | 0.920675i | \(-0.627639\pi\) | |||||||
\(912\) | −2.75692e7 | + | 2.98971e7i | −1.09758 | + | 1.19026i | ||||
\(913\) | −737491. | − | 4.18252e6i | −0.0292806 | − | 0.166059i | ||||
\(914\) | −4.99377e7 | + | 4.19027e7i | −1.97726 | + | 1.65912i | ||||
\(915\) | 1.22710e7 | + | 7.87190e6i | 0.484539 | + | 0.310833i | ||||
\(916\) | 2.99776e7 | − | 1.09110e7i | 1.18048 | − | 0.429659i | ||||
\(917\) | 9.96423e6 | 0.391310 | ||||||||
\(918\) | −2.28813e7 | + | 2.05729e7i | −0.896138 | + | 0.805731i | ||||
\(919\) | −1.01190e7 | −0.395230 | −0.197615 | − | 0.980280i | \(-0.563320\pi\) | ||||
−0.197615 | + | 0.980280i | \(0.563320\pi\) | |||||||
\(920\) | −9.99408e6 | + | 3.63755e6i | −0.389290 | + | 0.141690i | ||||
\(921\) | 5.89204e6 | − | 3.04368e6i | 0.228884 | − | 0.118236i | ||||
\(922\) | 2.05014e7 | − | 1.72027e7i | 0.794247 | − | 0.666452i | ||||
\(923\) | 807313. | + | 4.57850e6i | 0.0311916 | + | 0.176896i | ||||
\(924\) | −5.77872e6 | − | 1.30020e6i | −0.222665 | − | 0.0500992i | ||||
\(925\) | −3.56159e7 | − | 2.98853e7i | −1.36864 | − | 1.14843i | ||||
\(926\) | 1.00447e7 | − | 1.73980e7i | 0.384956 | − | 0.666763i | ||||
\(927\) | 2.26885e6 | + | 2.79584e7i | 0.0867176 | + | 1.06859i | ||||
\(928\) | 1.74884e7 | + | 3.02908e7i | 0.666622 | + | 1.15462i | ||||
\(929\) | −7.62867e6 | + | 4.32643e7i | −0.290008 | + | 1.64472i | 0.396821 | + | 0.917896i | \(0.370113\pi\) |
−0.686828 | + | 0.726820i | \(0.740998\pi\) | |||||||
\(930\) | −8.49303e6 | + | 2.03229e7i | −0.322000 | + | 0.770510i | ||||
\(931\) | −6.20352e6 | − | 2.25790e6i | −0.234565 | − | 0.0853749i | ||||
\(932\) | 234678. | + | 85415.8i | 0.00884978 | + | 0.00322106i | ||||
\(933\) | −8.64512e6 | + | 2.06868e7i | −0.325137 | + | 0.778018i | ||||
\(934\) | 2.14794e6 | − | 1.21816e7i | 0.0805668 | − | 0.456917i | ||||
\(935\) | 5.19116e6 | + | 8.99136e6i | 0.194194 | + | 0.336354i | ||||
\(936\) | 1.07127e6 | − | 740112.i | 0.0399679 | − | 0.0276126i | ||||
\(937\) | −9.42219e6 | + | 1.63197e7i | −0.350593 | + | 0.607245i | −0.986353 | − | 0.164642i | \(-0.947353\pi\) |
0.635761 | + | 0.771886i | \(0.280687\pi\) | |||||||
\(938\) | 979479. | + | 821881.i | 0.0363486 | + | 0.0305001i | ||||
\(939\) | 1.00711e7 | + | 2.26598e6i | 0.372746 | + | 0.0838670i | ||||
\(940\) | 1.21300e7 | + | 6.87928e7i | 0.447757 | + | 2.53935i | ||||
\(941\) | −1.48878e7 | + | 1.24923e7i | −0.548094 | + | 0.459905i | −0.874295 | − | 0.485395i | \(-0.838676\pi\) |
0.326201 | + | 0.945300i | \(0.394231\pi\) | |||||||
\(942\) | 5.35354e7 | − | 2.76550e7i | 1.96569 | − | 1.01542i | ||||
\(943\) | 4.35255e7 | − | 1.58420e7i | 1.59391 | − | 0.580136i | ||||
\(944\) | −8.91010e6 | −0.325426 | ||||||||
\(945\) | −3.08687e7 | − | 2.41527e7i | −1.12445 | − | 0.879804i | ||||
\(946\) | −1.19597e7 | −0.434501 | ||||||||
\(947\) | −1.74042e7 | + | 6.33460e6i | −0.630636 | + | 0.229533i | −0.637508 | − | 0.770444i | \(-0.720035\pi\) |
0.00687231 | + | 0.999976i | \(0.497812\pi\) | |||||||
\(948\) | 2.10399e7 | + | 1.34972e7i | 0.760368 | + | 0.487778i | ||||
\(949\) | 2.36101e6 | − | 1.98112e6i | 0.0851004 | − | 0.0714077i | ||||
\(950\) | −1.42011e7 | − | 8.05384e7i | −0.510520 | − | 2.89530i | ||||
\(951\) | −253063. | + | 274431.i | −0.00907355 | + | 0.00983970i | ||||
\(952\) | −2.66872e6 | − | 2.23933e6i | −0.0954358 | − | 0.0800801i | ||||
\(953\) | 1.22375e7 | − | 2.11960e7i | 0.436477 | − | 0.756001i | −0.560938 | − | 0.827858i | \(-0.689559\pi\) |
0.997415 | + | 0.0718571i | \(0.0228925\pi\) | |||||||
\(954\) | −5.15046e7 | + | 1.34538e7i | −1.83221 | + | 0.478602i | ||||
\(955\) | 2.79322e7 | + | 4.83801e7i | 0.991054 | + | 1.71656i | ||||
\(956\) | −3.57267e6 | + | 2.02616e7i | −0.126430 | + | 0.717018i | ||||
\(957\) | −7.80691e6 | + | 1.00282e6i | −0.275549 | + | 0.0353951i | ||||
\(958\) | 3.85781e7 | + | 1.40413e7i | 1.35808 | + | 0.494302i | ||||
\(959\) | −7.07666e6 | − | 2.57569e6i | −0.248474 | − | 0.0904373i | ||||
\(960\) | −2.06605e7 | − | 2.71014e7i | −0.723539 | − | 0.949102i | ||||
\(961\) | −4.22285e6 | + | 2.39490e7i | −0.147502 | + | 0.836524i | ||||
\(962\) | 7.54596e6 | + | 1.30700e7i | 0.262892 | + | 0.455342i | ||||
\(963\) | −1.97590e7 | − | 1.85405e6i | −0.686593 | − | 0.0644253i | ||||
\(964\) | −8.03974e6 | + | 1.39252e7i | −0.278644 | + | 0.482625i | ||||
\(965\) | 4.76287e6 | + | 3.99652e6i | 0.164646 | + | 0.138154i | ||||
\(966\) | −1.83358e7 | − | 5.87981e7i | −0.632203 | − | 2.02731i | ||||
\(967\) | −3.50320e6 | − | 1.98676e7i | −0.120475 | − | 0.683250i | −0.983893 | − | 0.178760i | \(-0.942792\pi\) |
0.863417 | − | 0.504490i | \(-0.168320\pi\) | |||||||
\(968\) | 3.20230e6 | − | 2.68705e6i | 0.109843 | − | 0.0921694i | ||||
\(969\) | −1.76418e6 | + | 3.76850e7i | −0.0603578 | + | 1.28932i | ||||
\(970\) | 6.16343e7 | − | 2.24331e7i | 2.10326 | − | 0.765525i | ||||
\(971\) | 2.98539e7 | 1.01614 | 0.508069 | − | 0.861316i | \(-0.330360\pi\) | ||||
0.508069 | + | 0.861316i | \(0.330360\pi\) | |||||||
\(972\) | 1.16921e7 | + | 2.33499e7i | 0.396941 | + | 0.792720i | ||||
\(973\) | −2.18383e6 | −0.0739496 | ||||||||
\(974\) | −7.78673e6 | + | 2.83414e6i | −0.263001 | + | 0.0957246i | ||||
\(975\) | −629612. | + | 1.34493e7i | −0.0212110 | + | 0.453093i | ||||
\(976\) | 9.21823e6 | − | 7.73501e6i | 0.309758 | − | 0.259918i | ||||
\(977\) | −6.78958e6 | − | 3.85056e7i | −0.227566 | − | 1.29059i | −0.857719 | − | 0.514118i | \(-0.828119\pi\) |
0.630154 | − | 0.776470i | \(-0.282992\pi\) | |||||||
\(978\) | −6.45546e6 | − | 2.07010e7i | −0.215814 | − | 0.692060i | ||||
\(979\) | 4.69287e6 | + | 3.93779e6i | 0.156488 | + | 0.131309i | ||||
\(980\) | 3.54320e6 | − | 6.13700e6i | 0.117850 | − | 0.204123i | ||||
\(981\) | 411280. | + | 38591.7i | 0.0136447 | + | 0.00128033i | ||||
\(982\) | 4.48264e6 | + | 7.76416e6i | 0.148339 | + | 0.256930i | ||||
\(983\) | 5.74276e6 | − | 3.25688e7i | 0.189556 | − | 1.07502i | −0.730405 | − | 0.683014i | \(-0.760669\pi\) |
0.919961 | − | 0.392010i | \(-0.128220\pi\) | |||||||
\(984\) | −2.86851e6 | − | 3.76277e6i | −0.0944428 | − | 0.123885i | ||||
\(985\) | −2.58866e7 | − | 9.42194e6i | −0.850127 | − | 0.309421i | ||||
\(986\) | 3.39941e7 | + | 1.23728e7i | 1.11355 | + | 0.405300i | ||||
\(987\) | 5.13459e7 | − | 6.59552e6i | 1.67769 | − | 0.215504i | ||||
\(988\) | −2.16626e6 | + | 1.22855e7i | −0.0706022 | + | 0.400405i | ||||
\(989\) | −2.92202e7 | − | 5.06108e7i | −0.949931 | − | 1.64533i | ||||
\(990\) | 1.81412e7 | − | 4.73876e6i | 0.588271 | − | 0.153666i | ||||
\(991\) | 1.79002e6 | − | 3.10040e6i | 0.0578993 | − | 0.100285i | −0.835623 | − | 0.549303i | \(-0.814893\pi\) |
0.893522 | + | 0.449019i | \(0.148226\pi\) | |||||||
\(992\) | 1.24914e7 | + | 1.04816e7i | 0.403026 | + | 0.338179i | ||||
\(993\) | 1.49521e7 | − | 1.62146e7i | 0.481204 | − | 0.521836i | ||||
\(994\) | −3.90086e6 | − | 2.21229e7i | −0.125226 | − | 0.710192i | ||||
\(995\) | −2.89615e7 | + | 2.43016e7i | −0.927393 | + | 0.778175i | ||||
\(996\) | 1.39433e7 | + | 8.94466e6i | 0.445366 | + | 0.285703i | ||||
\(997\) | 4.88782e6 | − | 1.77902e6i | 0.155732 | − | 0.0566817i | −0.262978 | − | 0.964802i | \(-0.584705\pi\) |
0.418710 | + | 0.908120i | \(0.362482\pi\) | |||||||
\(998\) | −7.35144e7 | −2.33639 | ||||||||
\(999\) | 3.59234e7 | − | 1.44842e7i | 1.13884 | − | 0.459179i |
(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 | 27.6.e.a.7.3 | yes | 84 | |
3.2 | odd | 2 | 81.6.e.a.19.12 | 84 | |||
27.2 | odd | 18 | 729.6.a.e.1.9 | 42 | |||
27.4 | even | 9 | inner | 27.6.e.a.4.3 | ✓ | 84 | |
27.23 | odd | 18 | 81.6.e.a.64.12 | 84 | |||
27.25 | even | 9 | 729.6.a.c.1.34 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.6.e.a.4.3 | ✓ | 84 | 27.4 | even | 9 | inner | |
27.6.e.a.7.3 | yes | 84 | 1.1 | even | 1 | trivial | |
81.6.e.a.19.12 | 84 | 3.2 | odd | 2 | |||
81.6.e.a.64.12 | 84 | 27.23 | odd | 18 | |||
729.6.a.c.1.34 | 42 | 27.25 | even | 9 | |||
729.6.a.e.1.9 | 42 | 27.2 | odd | 18 |