Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [50,6,Mod(11,50)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(50, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("50.11");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 50 = 2 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 50.d (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: | \(8.01919099065\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 41.1 | ||
Character | \(\chi\) | \(=\) | 50.41 |
Dual form | 50.6.d.b.11.1 |
$q$-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 \(\left(\mathbb{Z}/50\mathbb{Z}\right)^\times\).
\(n\) | \(27\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.23607 | + | 2.35114i | 0.572061 | + | 0.415627i | ||||
\(3\) | −9.01407 | − | 27.7425i | −0.578253 | − | 1.77968i | −0.624825 | − | 0.780765i | \(-0.714830\pi\) |
0.0465721 | − | 0.998915i | \(-0.485170\pi\) | |||||||
\(4\) | 4.94427 | + | 15.2169i | 0.154508 | + | 0.475528i | ||||
\(5\) | −53.0123 | + | 17.7397i | −0.948313 | + | 0.317337i | ||||
\(6\) | 36.0563 | − | 110.970i | 0.408887 | − | 1.25842i | ||||
\(7\) | 66.5258 | 0.513151 | 0.256576 | − | 0.966524i | \(-0.417406\pi\) | ||||
0.256576 | + | 0.966524i | \(0.417406\pi\) | |||||||
\(8\) | −19.7771 | + | 60.8676i | −0.109254 | + | 0.336249i | ||||
\(9\) | −491.799 | + | 357.313i | −2.02387 | + | 1.47042i | ||||
\(10\) | −213.260 | − | 67.2326i | −0.674387 | − | 0.212608i | ||||
\(11\) | −317.317 | − | 230.544i | −0.790699 | − | 0.574477i | 0.117472 | − | 0.993076i | \(-0.462521\pi\) |
−0.908171 | + | 0.418600i | \(0.862521\pi\) | |||||||
\(12\) | 377.586 | − | 274.333i | 0.756943 | − | 0.549951i | ||||
\(13\) | −716.419 | + | 520.509i | −1.17573 | + | 0.854220i | −0.991684 | − | 0.128697i | \(-0.958921\pi\) |
−0.184049 | + | 0.982917i | \(0.558921\pi\) | |||||||
\(14\) | 215.282 | + | 156.412i | 0.293554 | + | 0.213279i | ||||
\(15\) | 969.999 | + | 1310.78i | 1.11312 | + | 1.50419i | ||||
\(16\) | −207.108 | + | 150.473i | −0.202254 | + | 0.146946i | ||||
\(17\) | −253.165 | + | 779.161i | −0.212462 | + | 0.653890i | 0.786862 | + | 0.617129i | \(0.211704\pi\) |
−0.999324 | + | 0.0367617i | \(0.988296\pi\) | |||||||
\(18\) | −2431.59 | −1.76892 | ||||||||
\(19\) | 910.313 | − | 2801.66i | 0.578505 | − | 1.78045i | −0.0454173 | − | 0.998968i | \(-0.514462\pi\) |
0.623922 | − | 0.781487i | \(-0.285538\pi\) | |||||||
\(20\) | −532.050 | − | 718.973i | −0.297425 | − | 0.401918i | ||||
\(21\) | −599.669 | − | 1845.59i | −0.296731 | − | 0.913245i | ||||
\(22\) | −484.817 | − | 1492.11i | −0.213561 | − | 0.657272i | ||||
\(23\) | −1796.02 | − | 1304.88i | −0.707931 | − | 0.514342i | 0.174574 | − | 0.984644i | \(-0.444145\pi\) |
−0.882506 | + | 0.470302i | \(0.844145\pi\) | |||||||
\(24\) | 1866.89 | 0.661592 | ||||||||
\(25\) | 2495.61 | − | 1880.84i | 0.798594 | − | 0.601870i | ||||
\(26\) | −3542.17 | −1.02763 | ||||||||
\(27\) | 8611.27 | + | 6256.46i | 2.27331 | + | 1.65165i | ||||
\(28\) | 328.922 | + | 1012.32i | 0.0792862 | + | 0.244018i | ||||
\(29\) | −817.136 | − | 2514.89i | −0.180426 | − | 0.555294i | 0.819414 | − | 0.573203i | \(-0.194299\pi\) |
−0.999840 | + | 0.0179084i | \(0.994299\pi\) | |||||||
\(30\) | 57.1429 | + | 6522.39i | 0.0115920 | + | 1.32313i | ||||
\(31\) | 399.902 | − | 1230.77i | 0.0747394 | − | 0.230024i | −0.906707 | − | 0.421761i | \(-0.861412\pi\) |
0.981446 | + | 0.191737i | \(0.0614121\pi\) | |||||||
\(32\) | −1024.00 | −0.176777 | ||||||||
\(33\) | −3535.54 | + | 10881.3i | −0.565160 | + | 1.73938i | ||||
\(34\) | −2651.18 | + | 1926.19i | −0.393316 | + | 0.285761i | ||||
\(35\) | −3526.69 | + | 1180.15i | −0.486628 | + | 0.162842i | ||||
\(36\) | −7868.79 | − | 5717.01i | −1.01193 | − | 0.735212i | ||||
\(37\) | 4682.98 | − | 3402.39i | 0.562365 | − | 0.408582i | −0.269959 | − | 0.962872i | \(-0.587010\pi\) |
0.832324 | + | 0.554290i | \(0.187010\pi\) | |||||||
\(38\) | 9532.93 | − | 6926.08i | 1.07095 | − | 0.778087i | ||||
\(39\) | 20898.1 | + | 15183.3i | 2.20011 | + | 1.59847i | ||||
\(40\) | −31.3432 | − | 3577.57i | −0.00309737 | − | 0.353540i | ||||
\(41\) | −3082.51 | + | 2239.58i | −0.286382 | + | 0.208069i | −0.721696 | − | 0.692210i | \(-0.756637\pi\) |
0.435314 | + | 0.900279i | \(0.356637\pi\) | |||||||
\(42\) | 2398.68 | − | 7382.36i | 0.209821 | − | 0.645762i | ||||
\(43\) | −12449.3 | −1.02677 | −0.513384 | − | 0.858159i | \(-0.671608\pi\) | ||||
−0.513384 | + | 0.858159i | \(0.671608\pi\) | |||||||
\(44\) | 1939.27 | − | 5968.45i | 0.151010 | − | 0.464761i | ||||
\(45\) | 19732.8 | − | 27666.4i | 1.45264 | − | 2.03667i | ||||
\(46\) | −2744.07 | − | 8445.38i | −0.191206 | − | 0.588471i | ||||
\(47\) | 1545.48 | + | 4756.50i | 0.102051 | + | 0.314082i | 0.989027 | − | 0.147734i | \(-0.0471981\pi\) |
−0.886976 | + | 0.461816i | \(0.847198\pi\) | |||||||
\(48\) | 6041.38 | + | 4389.32i | 0.378471 | + | 0.274976i | ||||
\(49\) | −12381.3 | −0.736676 | ||||||||
\(50\) | 12498.1 | − | 219.009i | 0.706998 | − | 0.0123890i | ||||
\(51\) | 23897.9 | 1.28657 | ||||||||
\(52\) | −11462.7 | − | 8328.14i | −0.587867 | − | 0.427110i | ||||
\(53\) | −7993.88 | − | 24602.6i | −0.390902 | − | 1.20307i | −0.932107 | − | 0.362182i | \(-0.882032\pi\) |
0.541206 | − | 0.840890i | \(-0.317968\pi\) | |||||||
\(54\) | 13156.9 | + | 40492.6i | 0.613999 | + | 1.88969i | ||||
\(55\) | 20911.5 | + | 6592.58i | 0.932133 | + | 0.293865i | ||||
\(56\) | −1315.69 | + | 4049.27i | −0.0560638 | + | 0.172547i | ||||
\(57\) | −85930.5 | −3.50316 | ||||||||
\(58\) | 3268.54 | − | 10059.5i | 0.127580 | − | 0.392652i | ||||
\(59\) | −13860.5 | + | 10070.2i | −0.518381 | + | 0.376626i | −0.815994 | − | 0.578061i | \(-0.803810\pi\) |
0.297613 | + | 0.954687i | \(0.403810\pi\) | |||||||
\(60\) | −15150.1 | + | 21241.3i | −0.543299 | + | 0.761732i | ||||
\(61\) | 13003.6 | + | 9447.68i | 0.447445 | + | 0.325088i | 0.788586 | − | 0.614924i | \(-0.210813\pi\) |
−0.341141 | + | 0.940012i | \(0.610813\pi\) | |||||||
\(62\) | 4187.83 | − | 3042.64i | 0.138360 | − | 0.100524i | ||||
\(63\) | −32717.4 | + | 23770.6i | −1.03855 | + | 0.754550i | ||||
\(64\) | −3313.73 | − | 2407.57i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 28745.4 | − | 40302.4i | 0.843887 | − | 1.18317i | ||||
\(66\) | −37024.7 | + | 26900.0i | −1.04624 | + | 0.760139i | ||||
\(67\) | −3829.22 | + | 11785.1i | −0.104213 | + | 0.320736i | −0.989545 | − | 0.144224i | \(-0.953931\pi\) |
0.885332 | + | 0.464960i | \(0.153931\pi\) | |||||||
\(68\) | −13108.1 | −0.343771 | ||||||||
\(69\) | −20011.2 | + | 61588.3i | −0.506001 | + | 1.55731i | ||||
\(70\) | −14187.3 | − | 4472.70i | −0.346062 | − | 0.109100i | ||||
\(71\) | −8071.85 | − | 24842.6i | −0.190032 | − | 0.584859i | 0.809967 | − | 0.586476i | \(-0.199485\pi\) |
−0.999999 | + | 0.00161723i | \(0.999485\pi\) | |||||||
\(72\) | −12022.4 | − | 37001.3i | −0.273314 | − | 0.841173i | ||||
\(73\) | 64338.8 | + | 46744.9i | 1.41308 | + | 1.02666i | 0.992866 | + | 0.119234i | \(0.0380437\pi\) |
0.420210 | + | 0.907427i | \(0.361956\pi\) | |||||||
\(74\) | 23153.9 | 0.491525 | ||||||||
\(75\) | −74674.8 | − | 52280.2i | −1.53292 | − | 1.07321i | ||||
\(76\) | 47133.4 | 0.936040 | ||||||||
\(77\) | −21109.8 | − | 15337.1i | −0.405748 | − | 0.294793i | ||||
\(78\) | 31929.4 | + | 98268.5i | 0.594229 | + | 1.82885i | ||||
\(79\) | −14506.6 | − | 44646.6i | −0.261515 | − | 0.804861i | −0.992476 | − | 0.122441i | \(-0.960928\pi\) |
0.730960 | − | 0.682420i | \(-0.239072\pi\) | |||||||
\(80\) | 8309.95 | − | 11651.0i | 0.145169 | − | 0.203534i | ||||
\(81\) | 50299.1 | − | 154805.i | 0.851820 | − | 2.62163i | ||||
\(82\) | −15240.8 | −0.250307 | ||||||||
\(83\) | −8792.25 | + | 27059.8i | −0.140089 | + | 0.431150i | −0.996347 | − | 0.0853987i | \(-0.972784\pi\) |
0.856258 | + | 0.516549i | \(0.172784\pi\) | |||||||
\(84\) | 25119.3 | − | 18250.2i | 0.388426 | − | 0.282208i | ||||
\(85\) | −401.222 | − | 45796.2i | −0.00602333 | − | 0.687515i | ||||
\(86\) | −40286.6 | − | 29269.9i | −0.587374 | − | 0.426752i | ||||
\(87\) | −62403.4 | + | 45338.7i | −0.883914 | + | 0.642201i | ||||
\(88\) | 20308.3 | − | 14754.8i | 0.279554 | − | 0.203108i | ||||
\(89\) | 18770.0 | + | 13637.2i | 0.251183 | + | 0.182495i | 0.706251 | − | 0.707962i | \(-0.250385\pi\) |
−0.455068 | + | 0.890457i | \(0.650385\pi\) | |||||||
\(90\) | 128904. | − | 43135.6i | 1.67749 | − | 0.561345i | ||||
\(91\) | −47660.4 | + | 34627.3i | −0.603329 | + | 0.438344i | ||||
\(92\) | 10976.3 | − | 33781.5i | 0.135203 | − | 0.416111i | ||||
\(93\) | −37749.4 | −0.452588 | ||||||||
\(94\) | −6181.92 | + | 19026.0i | −0.0721612 | + | 0.222089i | ||||
\(95\) | 1442.69 | + | 164671.i | 0.0164007 | + | 1.87201i | ||||
\(96\) | 9230.41 | + | 28408.3i | 0.102222 | + | 0.314606i | ||||
\(97\) | 34977.3 | + | 107649.i | 0.377448 | + | 1.16167i | 0.941812 | + | 0.336140i | \(0.109121\pi\) |
−0.564364 | + | 0.825526i | \(0.690879\pi\) | |||||||
\(98\) | −40066.8 | − | 29110.2i | −0.421424 | − | 0.306182i | ||||
\(99\) | 238433. | 2.44499 | ||||||||
\(100\) | 40959.6 | + | 28676.0i | 0.409596 | + | 0.286760i | ||||
\(101\) | 90212.0 | 0.879956 | 0.439978 | − | 0.898008i | \(-0.354986\pi\) | ||||
0.439978 | + | 0.898008i | \(0.354986\pi\) | |||||||
\(102\) | 77335.2 | + | 56187.3i | 0.735998 | + | 0.534734i | ||||
\(103\) | −32012.1 | − | 98523.0i | −0.297318 | − | 0.915050i | −0.982433 | − | 0.186615i | \(-0.940248\pi\) |
0.685116 | − | 0.728434i | \(-0.259752\pi\) | |||||||
\(104\) | −17513.5 | − | 53900.9i | −0.158777 | − | 0.488666i | ||||
\(105\) | 64530.0 | + | 87201.1i | 0.571200 | + | 0.771878i | ||||
\(106\) | 31975.5 | − | 98410.5i | 0.276409 | − | 0.850701i | ||||
\(107\) | −127652. | −1.07788 | −0.538939 | − | 0.842345i | \(-0.681175\pi\) | ||||
−0.538939 | + | 0.842345i | \(0.681175\pi\) | |||||||
\(108\) | −52627.4 | + | 161971.i | −0.434163 | + | 1.33622i | ||||
\(109\) | 116971. | − | 84984.6i | 0.943003 | − | 0.685132i | −0.00613888 | − | 0.999981i | \(-0.501954\pi\) |
0.949142 | + | 0.314850i | \(0.101954\pi\) | |||||||
\(110\) | 52170.9 | + | 70499.8i | 0.411099 | + | 0.555529i | ||||
\(111\) | −136603. | − | 99248.1i | −1.05233 | − | 0.764566i | ||||
\(112\) | −13778.1 | + | 10010.3i | −0.103787 | + | 0.0754057i | ||||
\(113\) | −144407. | + | 104918.i | −1.06388 | + | 0.772956i | −0.974803 | − | 0.223069i | \(-0.928393\pi\) |
−0.0890795 | + | 0.996025i | \(0.528393\pi\) | |||||||
\(114\) | −278077. | − | 202035.i | −2.00402 | − | 1.45601i | ||||
\(115\) | 118359. | + | 37314.1i | 0.834560 | + | 0.263104i | ||||
\(116\) | 34228.6 | − | 24868.6i | 0.236181 | − | 0.171595i | ||||
\(117\) | 166350. | − | 511972.i | 1.12346 | − | 3.45765i | ||||
\(118\) | −68530.1 | −0.453081 | ||||||||
\(119\) | −16842.0 | + | 51834.4i | −0.109025 | + | 0.335545i | ||||
\(120\) | −98968.1 | + | 33118.0i | −0.627397 | + | 0.209948i | ||||
\(121\) | −2228.17 | − | 6857.60i | −0.0138352 | − | 0.0425803i | ||||
\(122\) | 19867.8 | + | 61146.7i | 0.120851 | + | 0.371940i | ||||
\(123\) | 89917.4 | + | 65328.8i | 0.535897 | + | 0.389352i | ||||
\(124\) | 20705.8 | 0.120931 | ||||||||
\(125\) | −98932.3 | + | 143979.i | −0.566322 | + | 0.824184i | ||||
\(126\) | −161764. | −0.907725 | ||||||||
\(127\) | 160590. | + | 116675.i | 0.883503 | + | 0.641903i | 0.934176 | − | 0.356812i | \(-0.116136\pi\) |
−0.0506726 | + | 0.998715i | \(0.516136\pi\) | |||||||
\(128\) | −5062.93 | − | 15582.1i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | 112218. | + | 345373.i | 0.593731 | + | 1.82732i | ||||
\(130\) | 187779. | − | 62837.0i | 0.974513 | − | 0.326105i | ||||
\(131\) | 2772.87 | − | 8534.02i | 0.0141173 | − | 0.0434486i | −0.943750 | − | 0.330661i | \(-0.892728\pi\) |
0.957867 | + | 0.287212i | \(0.0927284\pi\) | |||||||
\(132\) | −183060. | −0.914448 | ||||||||
\(133\) | 60559.4 | − | 186383.i | 0.296860 | − | 0.913642i | ||||
\(134\) | −40100.1 | + | 29134.4i | −0.192923 | + | 0.140167i | ||||
\(135\) | −567491. | − | 178908.i | −2.67994 | − | 0.844880i | ||||
\(136\) | −42418.8 | − | 30819.1i | −0.196658 | − | 0.142880i | ||||
\(137\) | −218890. | + | 159033.i | −0.996377 | + | 0.723910i | −0.961308 | − | 0.275475i | \(-0.911165\pi\) |
−0.0350688 | + | 0.999385i | \(0.511165\pi\) | |||||||
\(138\) | −209560. | + | 152255.i | −0.936724 | + | 0.680570i | ||||
\(139\) | 49234.2 | + | 35770.7i | 0.216137 | + | 0.157033i | 0.690586 | − | 0.723250i | \(-0.257353\pi\) |
−0.474449 | + | 0.880283i | \(0.657353\pi\) | |||||||
\(140\) | −35395.1 | − | 47830.3i | −0.152624 | − | 0.206245i | ||||
\(141\) | 118026. | − | 85750.8i | 0.499953 | − | 0.363237i | ||||
\(142\) | 32287.4 | − | 99370.4i | 0.134373 | − | 0.413558i | ||||
\(143\) | 347332. | 1.42038 | ||||||||
\(144\) | 48089.8 | − | 148005.i | 0.193262 | − | 0.594799i | ||||
\(145\) | 87931.5 | + | 118824.i | 0.347316 | + | 0.469337i | ||||
\(146\) | 98300.9 | + | 302539.i | 0.381659 | + | 1.17463i | ||||
\(147\) | 111606. | + | 343488.i | 0.425985 | + | 1.31105i | ||||
\(148\) | 74927.7 | + | 54438.2i | 0.281182 | + | 0.204291i | ||||
\(149\) | −60333.2 | −0.222634 | −0.111317 | − | 0.993785i | \(-0.535507\pi\) | ||||
−0.111317 | + | 0.993785i | \(0.535507\pi\) | |||||||
\(150\) | −118734. | − | 344753.i | −0.430872 | − | 1.25107i | ||||
\(151\) | −145629. | −0.519764 | −0.259882 | − | 0.965640i | \(-0.583684\pi\) | ||||
−0.259882 | + | 0.965640i | \(0.583684\pi\) | |||||||
\(152\) | 152527. | + | 110817.i | 0.535473 | + | 0.389044i | ||||
\(153\) | −153898. | − | 473650.i | −0.531502 | − | 1.63580i | ||||
\(154\) | −32252.8 | − | 99264.1i | −0.109589 | − | 0.337280i | ||||
\(155\) | 633.775 | + | 72340.2i | 0.00211888 | + | 0.241853i | ||||
\(156\) | −127718. | + | 393074.i | −0.420184 | + | 1.29319i | ||||
\(157\) | −412406. | −1.33529 | −0.667646 | − | 0.744479i | \(-0.732698\pi\) | ||||
−0.667646 | + | 0.744479i | \(0.732698\pi\) | |||||||
\(158\) | 58026.3 | − | 178587.i | 0.184919 | − | 0.569123i | ||||
\(159\) | −610480. | + | 443540.i | −1.91504 | + | 1.39136i | ||||
\(160\) | 54284.6 | − | 18165.4i | 0.167640 | − | 0.0560978i | ||||
\(161\) | −119482. | − | 86808.5i | −0.363276 | − | 0.263935i | ||||
\(162\) | 526739. | − | 382698.i | 1.57691 | − | 1.14570i | ||||
\(163\) | 520481. | − | 378152.i | 1.53439 | − | 1.11480i | 0.580657 | − | 0.814149i | \(-0.302796\pi\) |
0.953734 | − | 0.300651i | \(-0.0972041\pi\) | |||||||
\(164\) | −49320.2 | − | 35833.2i | −0.143191 | − | 0.104034i | ||||
\(165\) | −5603.21 | − | 639562.i | −0.0160224 | − | 1.82883i | ||||
\(166\) | −92073.6 | + | 66895.4i | −0.259337 | + | 0.188420i | ||||
\(167\) | −74567.1 | + | 229494.i | −0.206898 | + | 0.636766i | 0.792732 | + | 0.609570i | \(0.208658\pi\) |
−0.999630 | + | 0.0271963i | \(0.991342\pi\) | |||||||
\(168\) | 124196. | 0.339497 | ||||||||
\(169\) | 127591. | − | 392685.i | 0.343640 | − | 1.05761i | ||||
\(170\) | 106375. | − | 149143.i | 0.282304 | − | 0.395804i | ||||
\(171\) | 553377. | + | 1.70312e6i | 1.44721 | + | 4.45405i | ||||
\(172\) | −61552.5 | − | 189439.i | −0.158644 | − | 0.488257i | ||||
\(173\) | −189939. | − | 137999.i | −0.482502 | − | 0.350559i | 0.319791 | − | 0.947488i | \(-0.396387\pi\) |
−0.802294 | + | 0.596929i | \(0.796387\pi\) | |||||||
\(174\) | −308539. | −0.772569 | ||||||||
\(175\) | 166022. | − | 125125.i | 0.409800 | − | 0.308850i | ||||
\(176\) | 100410. | 0.244339 | ||||||||
\(177\) | 404313. | + | 293750.i | 0.970028 | + | 0.704767i | ||||
\(178\) | 28678.0 | + | 88261.9i | 0.0678421 | + | 0.208797i | ||||
\(179\) | −80116.6 | − | 246573.i | −0.186892 | − | 0.575193i | 0.813084 | − | 0.582146i | \(-0.197787\pi\) |
−0.999976 | + | 0.00695283i | \(0.997787\pi\) | |||||||
\(180\) | 518561. | + | 163482.i | 1.19294 | + | 0.376088i | ||||
\(181\) | 262179. | − | 806904.i | 0.594842 | − | 1.83074i | 0.0393305 | − | 0.999226i | \(-0.487477\pi\) |
0.555511 | − | 0.831509i | \(-0.312523\pi\) | |||||||
\(182\) | −235646. | −0.527329 | ||||||||
\(183\) | 144886. | − | 445914.i | 0.319816 | − | 0.984291i | ||||
\(184\) | 114945. | − | 83512.5i | 0.250291 | − | 0.181847i | ||||
\(185\) | −187898. | + | 263443.i | −0.403640 | + | 0.565923i | ||||
\(186\) | −122160. | − | 88754.2i | −0.258908 | − | 0.188108i | ||||
\(187\) | 259964. | − | 188875.i | 0.543638 | − | 0.394976i | ||||
\(188\) | −64737.9 | + | 47034.8i | −0.133587 | + | 0.0970565i | ||||
\(189\) | 572872. | + | 416216.i | 1.16655 | + | 0.847548i | ||||
\(190\) | −382496. | + | 536278.i | −0.768675 | + | 1.07772i | ||||
\(191\) | 10063.7 | − | 7311.71i | 0.0199606 | − | 0.0145023i | −0.577760 | − | 0.816207i | \(-0.696073\pi\) |
0.597721 | + | 0.801704i | \(0.296073\pi\) | |||||||
\(192\) | −36921.6 | + | 113633.i | −0.0722816 | + | 0.222460i | ||||
\(193\) | −519156. | −1.00324 | −0.501619 | − | 0.865088i | \(-0.667262\pi\) | ||||
−0.501619 | + | 0.865088i | \(0.667262\pi\) | |||||||
\(194\) | −139909. | + | 430596.i | −0.266896 | + | 0.821421i | ||||
\(195\) | −1.37720e6 | − | 434178.i | −2.59365 | − | 0.817676i | ||||
\(196\) | −61216.6 | − | 188405.i | −0.113823 | − | 0.350310i | ||||
\(197\) | −12832.5 | − | 39494.5i | −0.0235585 | − | 0.0725056i | 0.938586 | − | 0.345045i | \(-0.112136\pi\) |
−0.962145 | + | 0.272540i | \(0.912136\pi\) | |||||||
\(198\) | 771584. | + | 560589.i | 1.39869 | + | 1.01621i | ||||
\(199\) | −282921. | −0.506446 | −0.253223 | − | 0.967408i | \(-0.581491\pi\) | ||||
−0.253223 | + | 0.967408i | \(0.581491\pi\) | |||||||
\(200\) | 65126.5 | + | 189099.i | 0.115129 | + | 0.334283i | ||||
\(201\) | 361465. | 0.631069 | ||||||||
\(202\) | 291932. | + | 212101.i | 0.503389 | + | 0.365734i | ||||
\(203\) | −54360.7 | − | 167305.i | −0.0925858 | − | 0.284950i | ||||
\(204\) | 118158. | + | 363652.i | 0.198786 | + | 0.611801i | ||||
\(205\) | 123682. | − | 173408.i | 0.205552 | − | 0.288194i | ||||
\(206\) | 128048. | − | 394092.i | 0.210235 | − | 0.647038i | ||||
\(207\) | 1.34953e6 | 2.18906 | ||||||||
\(208\) | 70053.8 | − | 215604.i | 0.112273 | − | 0.345539i | ||||
\(209\) | −934763. | + | 679145.i | −1.48025 | + | 1.07547i | ||||
\(210\) | 3801.48 | + | 433908.i | 0.00594845 | + | 0.678968i | ||||
\(211\) | 367574. | + | 267058.i | 0.568380 | + | 0.412952i | 0.834516 | − | 0.550983i | \(-0.185747\pi\) |
−0.266136 | + | 0.963935i | \(0.585747\pi\) | |||||||
\(212\) | 334852. | − | 243284.i | 0.511697 | − | 0.371770i | ||||
\(213\) | −616435. | + | 447866.i | −0.930975 | + | 0.676393i | ||||
\(214\) | −413092. | − | 300129.i | −0.616613 | − | 0.447995i | ||||
\(215\) | 659963. | − | 220846.i | 0.973697 | − | 0.325831i | ||||
\(216\) | −551121. | + | 400413.i | −0.803735 | + | 0.583948i | ||||
\(217\) | 26603.8 | − | 81878.2i | 0.0383526 | − | 0.118037i | ||||
\(218\) | 578338. | 0.824215 | ||||||||
\(219\) | 716863. | − | 2.20628e6i | 1.01001 | − | 3.10849i | ||||
\(220\) | 3073.40 | + | 350803.i | 0.00428116 | + | 0.488660i | ||||
\(221\) | −224188. | − | 689981.i | −0.308768 | − | 0.950290i | ||||
\(222\) | −208711. | − | 642347.i | −0.284226 | − | 0.874757i | ||||
\(223\) | 387785. | + | 281742.i | 0.522190 | + | 0.379393i | 0.817428 | − | 0.576030i | \(-0.195399\pi\) |
−0.295238 | + | 0.955424i | \(0.595399\pi\) | |||||||
\(224\) | −68122.5 | −0.0907132 | ||||||||
\(225\) | −555289. | + | 1.81671e6i | −0.731244 | + | 2.39238i | ||||
\(226\) | −713990. | −0.929867 | ||||||||
\(227\) | −662314. | − | 481199.i | −0.853099 | − | 0.619813i | 0.0728998 | − | 0.997339i | \(-0.476775\pi\) |
−0.925999 | + | 0.377527i | \(0.876775\pi\) | |||||||
\(228\) | −424864. | − | 1.30760e6i | −0.541268 | − | 1.66585i | ||||
\(229\) | −313261. | − | 964118.i | −0.394746 | − | 1.21490i | −0.929159 | − | 0.369679i | \(-0.879468\pi\) |
0.534414 | − | 0.845223i | \(-0.320532\pi\) | |||||||
\(230\) | 295288. | + | 399030.i | 0.368066 | + | 0.497377i | ||||
\(231\) | −235205. | + | 723887.i | −0.290013 | + | 0.892567i | ||||
\(232\) | 169236. | 0.206430 | ||||||||
\(233\) | 52349.6 | − | 161116.i | 0.0631719 | − | 0.194423i | −0.914489 | − | 0.404610i | \(-0.867407\pi\) |
0.977661 | + | 0.210187i | \(0.0674073\pi\) | |||||||
\(234\) | 1.74204e6 | − | 1.26566e6i | 2.07978 | − | 1.51105i | ||||
\(235\) | −166308. | − | 224736.i | −0.196446 | − | 0.265463i | ||||
\(236\) | −221768. | − | 161124.i | −0.259190 | − | 0.188313i | ||||
\(237\) | −1.10784e6 | + | 804896.i | −1.28117 | + | 0.930827i | ||||
\(238\) | −176372. | + | 128142.i | −0.201830 | + | 0.146638i | ||||
\(239\) | −741806. | − | 538954.i | −0.840032 | − | 0.610319i | 0.0823476 | − | 0.996604i | \(-0.473758\pi\) |
−0.922380 | + | 0.386285i | \(0.873758\pi\) | |||||||
\(240\) | −398133. | − | 125516.i | −0.446169 | − | 0.140660i | ||||
\(241\) | 354334. | − | 257439.i | 0.392980 | − | 0.285517i | −0.373695 | − | 0.927551i | \(-0.621909\pi\) |
0.766676 | + | 0.642035i | \(0.221909\pi\) | |||||||
\(242\) | 8912.68 | − | 27430.4i | 0.00978295 | − | 0.0301088i | ||||
\(243\) | −2.16155e6 | −2.34827 | ||||||||
\(244\) | −79471.0 | + | 244587.i | −0.0854543 | + | 0.263001i | ||||
\(245\) | 656362. | − | 219641.i | 0.698599 | − | 0.233775i | ||||
\(246\) | 137382. | + | 422817.i | 0.144741 | + | 0.445466i | ||||
\(247\) | 806121. | + | 2.48099e6i | 0.840733 | + | 2.58751i | ||||
\(248\) | 67005.3 | + | 48682.2i | 0.0691799 | + | 0.0502621i | ||||
\(249\) | 829958. | 0.848316 | ||||||||
\(250\) | −658667. | + | 233322.i | −0.666524 | + | 0.236105i | ||||
\(251\) | −1.69808e6 | −1.70128 | −0.850638 | − | 0.525751i | \(-0.823784\pi\) | ||||
−0.850638 | + | 0.525751i | \(0.823784\pi\) | |||||||
\(252\) | −523478. | − | 380329.i | −0.519275 | − | 0.377275i | ||||
\(253\) | 269073. | + | 828123.i | 0.264283 | + | 0.813380i | ||||
\(254\) | 245359. | + | 755138.i | 0.238626 | + | 0.734416i | ||||
\(255\) | −1.26688e6 | + | 423941.i | −1.22007 | + | 0.408277i | ||||
\(256\) | 20251.7 | − | 62328.4i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −91177.0 | −0.0861098 | −0.0430549 | − | 0.999073i | \(-0.513709\pi\) | ||||
−0.0430549 | + | 0.999073i | \(0.513709\pi\) | |||||||
\(258\) | −448874. | + | 1.38149e6i | −0.419832 | + | 1.29211i | ||||
\(259\) | 311539. | − | 226347.i | 0.288578 | − | 0.209664i | ||||
\(260\) | 755403. | + | 238149.i | 0.693019 | + | 0.218482i | ||||
\(261\) | 1.30047e6 | + | 944846.i | 1.18168 | + | 0.858538i | ||||
\(262\) | 29037.9 | − | 21097.3i | 0.0261344 | − | 0.0189877i | ||||
\(263\) | 1.34488e6 | − | 977115.i | 1.19893 | − | 0.871077i | 0.204755 | − | 0.978813i | \(-0.434360\pi\) |
0.994180 | + | 0.107736i | \(0.0343602\pi\) | |||||||
\(264\) | −592395. | − | 430400.i | −0.523121 | − | 0.380069i | ||||
\(265\) | 860216. | + | 1.16243e6i | 0.752477 | + | 1.01684i | ||||
\(266\) | 634186. | − | 460763.i | 0.549557 | − | 0.399276i | ||||
\(267\) | 209136. | − | 643653.i | 0.179535 | − | 0.552553i | ||||
\(268\) | −198266. | −0.168621 | ||||||||
\(269\) | −512217. | + | 1.57644e6i | −0.431592 | + | 1.32830i | 0.464947 | + | 0.885339i | \(0.346074\pi\) |
−0.896539 | + | 0.442965i | \(0.853926\pi\) | |||||||
\(270\) | −1.41580e6 | − | 1.91321e6i | −1.18193 | − | 1.59718i | ||||
\(271\) | −735228. | − | 2.26280e6i | −0.608133 | − | 1.87164i | −0.473618 | − | 0.880730i | \(-0.657052\pi\) |
−0.134515 | − | 0.990911i | \(-0.542948\pi\) | |||||||
\(272\) | −64810.2 | − | 199465.i | −0.0531155 | − | 0.163473i | ||||
\(273\) | 1.39026e6 | + | 1.01008e6i | 1.12899 | + | 0.820258i | ||||
\(274\) | −1.08225e6 | −0.870866 | ||||||||
\(275\) | −1.22552e6 | + | 21475.2i | −0.977208 | + | 0.0171240i | ||||
\(276\) | −1.03612e6 | −0.818727 | ||||||||
\(277\) | −976291. | − | 709317.i | −0.764504 | − | 0.555445i | 0.135785 | − | 0.990738i | \(-0.456645\pi\) |
−0.900288 | + | 0.435294i | \(0.856645\pi\) | |||||||
\(278\) | 75223.1 | + | 231513.i | 0.0583767 | + | 0.179665i | ||||
\(279\) | 243100. | + | 748184.i | 0.186971 | + | 0.575437i | ||||
\(280\) | −2085.13 | − | 238001.i | −0.00158942 | − | 0.181419i | ||||
\(281\) | 117185. | − | 360657.i | 0.0885328 | − | 0.272476i | −0.896982 | − | 0.442068i | \(-0.854245\pi\) |
0.985514 | + | 0.169592i | \(0.0542450\pi\) | |||||||
\(282\) | 583552. | 0.436975 | ||||||||
\(283\) | −519460. | + | 1.59873e6i | −0.385554 | + | 1.18661i | 0.550523 | + | 0.834820i | \(0.314428\pi\) |
−0.936077 | + | 0.351795i | \(0.885572\pi\) | |||||||
\(284\) | 338118. | − | 245657.i | 0.248755 | − | 0.180731i | ||||
\(285\) | 4.55537e6 | − | 1.52438e6i | 3.32209 | − | 1.11168i | ||||
\(286\) | 1.12399e6 | + | 816627.i | 0.812545 | + | 0.590349i | ||||
\(287\) | −205067. | + | 148990.i | −0.146957 | + | 0.106771i | ||||
\(288\) | 503603. | − | 365889.i | 0.357772 | − | 0.259937i | ||||
\(289\) | 605689. | + | 440059.i | 0.426584 | + | 0.309932i | ||||
\(290\) | 5180.06 | + | 591262.i | 0.00361693 | + | 0.412843i | ||||
\(291\) | 2.67116e6 | − | 1.94071e6i | 1.84913 | − | 1.34347i | ||||
\(292\) | −393204. | + | 1.21016e6i | −0.269874 | + | 0.830586i | ||||
\(293\) | 2.08541e6 | 1.41913 | 0.709566 | − | 0.704639i | \(-0.248891\pi\) | ||||
0.709566 | + | 0.704639i | \(0.248891\pi\) | |||||||
\(294\) | −446424. | + | 1.37395e6i | −0.301217 | + | 0.927050i | ||||
\(295\) | 556134. | − | 779728.i | 0.372070 | − | 0.521660i | ||||
\(296\) | 114479. | + | 352331.i | 0.0759448 | + | 0.233734i | ||||
\(297\) | −1.29011e6 | − | 3.97056e6i | −0.848665 | − | 2.61192i | ||||
\(298\) | −195242. | − | 141852.i | −0.127360 | − | 0.0925325i | ||||
\(299\) | 1.96590e6 | 1.27170 | ||||||||
\(300\) | 426331. | − | 1.39481e6i | 0.273491 | − | 0.894769i | ||||
\(301\) | −828197. | −0.526887 | ||||||||
\(302\) | −471266. | − | 342395.i | −0.297337 | − | 0.216028i | ||||
\(303\) | −813178. | − | 2.50270e6i | −0.508837 | − | 1.56604i | ||||
\(304\) | 233040. | + | 717224.i | 0.144626 | + | 0.445114i | ||||
\(305\) | −856950. | − | 270163.i | −0.527480 | − | 0.166294i | ||||
\(306\) | 615593. | − | 1.89460e6i | 0.375829 | − | 1.15668i | ||||
\(307\) | 2.48465e6 | 1.50460 | 0.752298 | − | 0.658823i | \(-0.228946\pi\) | ||||
0.752298 | + | 0.658823i | \(0.228946\pi\) | |||||||
\(308\) | 129011. | − | 397056.i | 0.0774910 | − | 0.238493i | ||||
\(309\) | −2.44471e6 | + | 1.77619e6i | −1.45657 | + | 1.05826i | ||||
\(310\) | −168031. | + | 235588.i | −0.0993083 | + | 0.139235i | ||||
\(311\) | 582208. | + | 422999.i | 0.341332 | + | 0.247992i | 0.745224 | − | 0.666815i | \(-0.232343\pi\) |
−0.403891 | + | 0.914807i | \(0.632343\pi\) | |||||||
\(312\) | −1.33748e6 | + | 971733.i | −0.777856 | + | 0.565146i | ||||
\(313\) | −463507. | + | 336758.i | −0.267421 | + | 0.194293i | −0.713412 | − | 0.700745i | \(-0.752851\pi\) |
0.445991 | + | 0.895037i | \(0.352851\pi\) | |||||||
\(314\) | −1.33457e6 | − | 969625.i | −0.763869 | − | 0.554983i | ||||
\(315\) | 1.31274e6 | − | 1.84053e6i | 0.745423 | − | 1.04512i | ||||
\(316\) | 607659. | − | 441490.i | 0.342328 | − | 0.248716i | ||||
\(317\) | −190881. | + | 587472.i | −0.106688 | + | 0.328352i | −0.990123 | − | 0.140202i | \(-0.955225\pi\) |
0.883435 | + | 0.468554i | \(0.155225\pi\) | |||||||
\(318\) | −3.01838e6 | −1.67381 | ||||||||
\(319\) | −320501. | + | 986401.i | −0.176341 | + | 0.542721i | ||||
\(320\) | 218378. | + | 68846.2i | 0.119216 | + | 0.0375842i | ||||
\(321\) | 1.15067e6 | + | 3.54139e6i | 0.623286 | + | 1.91828i | ||||
\(322\) | −182552. | − | 561836.i | −0.0981174 | − | 0.301974i | ||||
\(323\) | 1.95248e6 | + | 1.41856e6i | 1.04131 | + | 0.756557i | ||||
\(324\) | 2.60434e6 | 1.37827 | ||||||||
\(325\) | −808906. | + | 2.64646e6i | −0.424805 | + | 1.38981i | ||||
\(326\) | 2.57340e6 | 1.34111 | ||||||||
\(327\) | −3.41207e6 | − | 2.47901e6i | −1.76461 | − | 1.28206i | ||||
\(328\) | −75354.6 | − | 231918.i | −0.0386745 | − | 0.119028i | ||||
\(329\) | 102814. | + | 316430.i | 0.0523677 | + | 0.161171i | ||||
\(330\) | 1.48557e6 | − | 2.08284e6i | 0.750944 | − | 1.05286i | ||||
\(331\) | −752230. | + | 2.31513e6i | −0.377382 | + | 1.16146i | 0.564476 | + | 0.825449i | \(0.309078\pi\) |
−0.941858 | + | 0.336012i | \(0.890922\pi\) | |||||||
\(332\) | −455237. | −0.226669 | ||||||||
\(333\) | −1.08737e6 | + | 3.34658e6i | −0.537362 | + | 1.65383i | ||||
\(334\) | −780877. | + | 567340.i | −0.383016 | + | 0.278277i | ||||
\(335\) | −6068.64 | − | 692686.i | −0.00295447 | − | 0.337229i | ||||
\(336\) | 401908. | + | 292003.i | 0.194213 | + | 0.141104i | ||||
\(337\) | −2.03698e6 | + | 1.47995e6i | −0.977041 | + | 0.709862i | −0.957045 | − | 0.289939i | \(-0.906365\pi\) |
−0.0199954 | + | 0.999800i | \(0.506365\pi\) | |||||||
\(338\) | 1.33615e6 | − | 970770.i | 0.636156 | − | 0.462194i | ||||
\(339\) | 4.21239e6 | + | 3.06048e6i | 1.99081 | + | 1.44641i | ||||
\(340\) | 694892. | − | 232534.i | 0.326002 | − | 0.109091i | ||||
\(341\) | −410643. | + | 298350.i | −0.191240 | + | 0.138944i | ||||
\(342\) | −2.21351e6 | + | 6.81248e6i | −1.02333 | + | 3.14949i | ||||
\(343\) | −1.94178e6 | −0.891177 | ||||||||
\(344\) | 246210. | − | 757756.i | 0.112178 | − | 0.345250i | ||||
\(345\) | −31714.3 | − | 3.61993e6i | −0.0143452 | − | 1.63739i | ||||
\(346\) | −290201. | − | 893148.i | −0.130319 | − | 0.401082i | ||||
\(347\) | −761724. | − | 2.34435e6i | −0.339605 | − | 1.04520i | −0.964409 | − | 0.264415i | \(-0.914821\pi\) |
0.624804 | − | 0.780782i | \(-0.285179\pi\) | |||||||
\(348\) | −998454. | − | 725419.i | −0.441957 | − | 0.321101i | ||||
\(349\) | −2.61891e6 | −1.15095 | −0.575476 | − | 0.817818i | \(-0.695183\pi\) | ||||
−0.575476 | + | 0.817818i | \(0.695183\pi\) | |||||||
\(350\) | 831445. | − | 14569.7i | 0.362797 | − | 0.00635743i | ||||
\(351\) | −9.42582e6 | −4.08368 | ||||||||
\(352\) | 324932. | + | 236077.i | 0.139777 | + | 0.101554i | ||||
\(353\) | −641977. | − | 1.97580e6i | −0.274210 | − | 0.843931i | −0.989427 | − | 0.145029i | \(-0.953672\pi\) |
0.715218 | − | 0.698902i | \(-0.246328\pi\) | |||||||
\(354\) | 617735. | + | 1.90119e6i | 0.261996 | + | 0.806340i | ||||
\(355\) | 868607. | + | 1.17377e6i | 0.365807 | + | 0.494325i | ||||
\(356\) | −114712. | + | 353048.i | −0.0479716 | + | 0.147641i | ||||
\(357\) | 1.58983e6 | 0.660206 | ||||||||
\(358\) | 320466. | − | 986294.i | 0.132152 | − | 0.406723i | ||||
\(359\) | 1.32787e6 | − | 964751.i | 0.543774 | − | 0.395075i | −0.281711 | − | 0.959499i | \(-0.590902\pi\) |
0.825485 | + | 0.564425i | \(0.190902\pi\) | |||||||
\(360\) | 1.29373e6 | + | 1.74825e6i | 0.526122 | + | 0.710963i | ||||
\(361\) | −5.01740e6 | − | 3.64536e6i | −2.02633 | − | 1.47222i | ||||
\(362\) | 2.74557e6 | − | 1.99478e6i | 1.10119 | − | 0.800061i | ||||
\(363\) | −170162. | + | 123630.i | −0.0677791 | + | 0.0492444i | ||||
\(364\) | −762566. | − | 554037.i | −0.301664 | − | 0.219172i | ||||
\(365\) | −4.23999e6 | − | 1.33670e6i | −1.66584 | − | 0.525174i | ||||
\(366\) | 1.51727e6 | − | 1.10236e6i | 0.592052 | − | 0.430151i | ||||
\(367\) | −361210. | + | 1.11169e6i | −0.139989 | + | 0.430842i | −0.996333 | − | 0.0855643i | \(-0.972731\pi\) |
0.856343 | + | 0.516407i | \(0.172731\pi\) | |||||||
\(368\) | 568320. | 0.218763 | ||||||||
\(369\) | 715748. | − | 2.20285e6i | 0.273649 | − | 0.842206i | ||||
\(370\) | −1.22744e6 | + | 410743.i | −0.466119 | + | 0.155979i | ||||
\(371\) | −531799. | − | 1.63671e6i | −0.200592 | − | 0.617358i | ||||
\(372\) | −186643. | − | 574429.i | −0.0699287 | − | 0.215218i | ||||
\(373\) | 46413.2 | + | 33721.2i | 0.0172731 | + | 0.0125496i | 0.596388 | − | 0.802696i | \(-0.296602\pi\) |
−0.579115 | + | 0.815246i | \(0.696602\pi\) | |||||||
\(374\) | 1.28533e6 | 0.475157 | ||||||||
\(375\) | 4.88612e6 | + | 1.44679e6i | 1.79426 | + | 0.531284i | ||||
\(376\) | −320082. | −0.116759 | ||||||||
\(377\) | 1.89443e6 | + | 1.37639e6i | 0.686477 | + | 0.498754i | ||||
\(378\) | 875271. | + | 2.69381e6i | 0.315074 | + | 0.969699i | ||||
\(379\) | −393812. | − | 1.21203e6i | −0.140829 | − | 0.433426i | 0.855622 | − | 0.517601i | \(-0.173175\pi\) |
−0.996451 | + | 0.0841744i | \(0.973175\pi\) | |||||||
\(380\) | −2.49865e6 | + | 836131.i | −0.887659 | + | 0.297040i | ||||
\(381\) | 1.78929e6 | − | 5.50687e6i | 0.631493 | − | 1.94354i | ||||
\(382\) | 49757.7 | 0.0174462 | ||||||||
\(383\) | −689077. | + | 2.12076e6i | −0.240033 | + | 0.738745i | 0.756381 | + | 0.654131i | \(0.226966\pi\) |
−0.996414 | + | 0.0846137i | \(0.973034\pi\) | |||||||
\(384\) | −386648. | + | 280917.i | −0.133810 | + | 0.0972186i | ||||
\(385\) | 1.39115e6 | + | 438577.i | 0.478325 | + | 0.150797i | ||||
\(386\) | −1.68002e6 | − | 1.22061e6i | −0.573914 | − | 0.416973i | ||||
\(387\) | 6.12254e6 | − | 4.44828e6i | 2.07804 | − | 1.50978i | ||||
\(388\) | −1.46515e6 | + | 1.06449e6i | −0.494086 | + | 0.358974i | ||||
\(389\) | 306137. | + | 222422.i | 0.102575 | + | 0.0745252i | 0.637890 | − | 0.770127i | \(-0.279807\pi\) |
−0.535315 | + | 0.844652i | \(0.679807\pi\) | |||||||
\(390\) | −3.43590e6 | − | 4.64302e6i | −1.14388 | − | 1.54575i | ||||
\(391\) | 1.47140e6 | − | 1.06904e6i | 0.486732 | − | 0.353631i | ||||
\(392\) | 244866. | − | 753621.i | 0.0804848 | − | 0.247707i | ||||
\(393\) | −261750. | −0.0854879 | ||||||||
\(394\) | 51330.2 | − | 157978.i | 0.0166584 | − | 0.0512692i | ||||
\(395\) | 1.56104e6 | + | 2.10948e6i | 0.503411 | + | 0.680272i | ||||
\(396\) | 1.17888e6 | + | 3.62821e6i | 0.377772 | + | 1.16266i | ||||
\(397\) | 575541. | + | 1.77133e6i | 0.183274 | + | 0.564059i | 0.999914 | − | 0.0130879i | \(-0.00416613\pi\) |
−0.816641 | + | 0.577147i | \(0.804166\pi\) | |||||||
\(398\) | −915553. | − | 665188.i | −0.289718 | − | 0.210493i | ||||
\(399\) | −5.71660e6 | −1.79765 | ||||||||
\(400\) | −233845. | + | 765060.i | −0.0730766 | + | 0.239081i | ||||
\(401\) | −4.75109e6 | −1.47548 | −0.737738 | − | 0.675087i | \(-0.764106\pi\) | ||||
−0.737738 | + | 0.675087i | \(0.764106\pi\) | |||||||
\(402\) | 1.16973e6 | + | 849856.i | 0.361010 | + | 0.262289i | ||||
\(403\) | 354131. | + | 1.08990e6i | 0.108618 | + | 0.334291i | ||||
\(404\) | 446033. | + | 1.37275e6i | 0.135961 | + | 0.418444i | ||||
\(405\) | 79715.2 | + | 9.09885e6i | 0.0241493 | + | 2.75644i | ||||
\(406\) | 217443. | − | 669220.i | 0.0654681 | − | 0.201490i | ||||
\(407\) | −2.27039e6 | −0.679382 | ||||||||
\(408\) | −472631. | + | 1.45461e6i | −0.140563 | + | 0.432609i | ||||
\(409\) | 4.60257e6 | − | 3.34396e6i | 1.36048 | − | 0.988446i | 0.362065 | − | 0.932153i | \(-0.382072\pi\) |
0.998414 | − | 0.0562935i | \(-0.0179282\pi\) | |||||||
\(410\) | 807949. | − | 270367.i | 0.237369 | − | 0.0794317i | ||||
\(411\) | 6.38504e6 | + | 4.63901e6i | 1.86449 | + | 1.35463i | ||||
\(412\) | 1.34094e6 | − | 974249.i | 0.389194 | − | 0.282766i | ||||
\(413\) | −922081. | + | 669931.i | −0.266008 | + | 0.193266i | ||||
\(414\) | 4.36718e6 | + | 3.17294e6i | 1.25228 | + | 0.909832i | ||||
\(415\) | −13934.2 | − | 1.59047e6i | −0.00397156 | − | 0.453321i | ||||
\(416\) | 733613. | − | 533001.i | 0.207842 | − | 0.151006i | ||||
\(417\) | 548567. | − | 1.68832e6i | 0.154486 | − | 0.475460i | ||||
\(418\) | −4.62172e6 | −1.29379 | ||||||||
\(419\) | −265427. | + | 816900.i | −0.0738601 | + | 0.227318i | −0.981171 | − | 0.193143i | \(-0.938132\pi\) |
0.907310 | + | 0.420461i | \(0.138132\pi\) | |||||||
\(420\) | −1.00788e6 | + | 1.41309e6i | −0.278794 | + | 0.390884i | ||||
\(421\) | 1.15057e6 | + | 3.54109e6i | 0.316379 | + | 0.973715i | 0.975183 | + | 0.221400i | \(0.0710628\pi\) |
−0.658804 | + | 0.752315i | \(0.728937\pi\) | |||||||
\(422\) | 561603. | + | 1.72844e6i | 0.153514 | + | 0.472468i | ||||
\(423\) | −2.45962e6 | − | 1.78702e6i | −0.668372 | − | 0.485600i | ||||
\(424\) | 1.65560e6 | 0.447240 | ||||||||
\(425\) | 833679. | + | 2.42064e6i | 0.223886 | + | 0.650068i | ||||
\(426\) | −3.04782e6 | −0.813702 | ||||||||
\(427\) | 865076. | + | 628515.i | 0.229607 | + | 0.166819i | ||||
\(428\) | −631149. | − | 1.94248e6i | −0.166541 | − | 0.512562i | ||||
\(429\) | −3.13088e6 | − | 9.63585e6i | −0.821339 | − | 2.52782i | ||||
\(430\) | 2.65493e6 | + | 836995.i | 0.692439 | + | 0.218299i | ||||
\(431\) | 344537. | − | 1.06038e6i | 0.0893394 | − | 0.274958i | −0.896398 | − | 0.443251i | \(-0.853825\pi\) |
0.985737 | + | 0.168292i | \(0.0538252\pi\) | |||||||
\(432\) | −2.72489e6 | −0.702490 | ||||||||
\(433\) | 357956. | − | 1.10168e6i | 0.0917509 | − | 0.282380i | −0.894642 | − | 0.446783i | \(-0.852570\pi\) |
0.986393 | + | 0.164403i | \(0.0525696\pi\) | |||||||
\(434\) | 278599. | − | 202414.i | 0.0709995 | − | 0.0515841i | ||||
\(435\) | 2.50385e6 | − | 3.51053e6i | 0.634433 | − | 0.889506i | ||||
\(436\) | 1.87154e6 | + | 1.35975e6i | 0.471501 | + | 0.342566i | ||||
\(437\) | −5.29077e6 | + | 3.84397e6i | −1.32530 | + | 0.962890i | ||||
\(438\) | 7.50709e6 | − | 5.45422e6i | 1.86976 | − | 1.35846i | ||||
\(439\) | −891543. | − | 647744.i | −0.220791 | − | 0.160414i | 0.471892 | − | 0.881656i | \(-0.343571\pi\) |
−0.692683 | + | 0.721243i | \(0.743571\pi\) | |||||||
\(440\) | −814842. | + | 1.14245e6i | −0.200651 | + | 0.281323i | ||||
\(441\) | 6.08912e6 | − | 4.42401e6i | 1.49093 | − | 1.08323i | ||||
\(442\) | 896753. | − | 2.75992e6i | 0.218332 | − | 0.671956i | ||||
\(443\) | 536178. | 0.129807 | 0.0649037 | − | 0.997892i | \(-0.479326\pi\) | ||||
0.0649037 | + | 0.997892i | \(0.479326\pi\) | |||||||
\(444\) | 834845. | − | 2.56939e6i | 0.200978 | − | 0.618547i | ||||
\(445\) | −1.23696e6 | − | 389966.i | −0.296112 | − | 0.0933527i | ||||
\(446\) | 592483. | + | 1.82347e6i | 0.141039 | + | 0.434073i | ||||
\(447\) | 543848. | + | 1.67379e6i | 0.128739 | + | 0.396216i | ||||
\(448\) | −220449. | − | 160166.i | −0.0518935 | − | 0.0377028i | ||||
\(449\) | 3.31855e6 | 0.776842 | 0.388421 | − | 0.921482i | \(-0.373021\pi\) | ||||
0.388421 | + | 0.921482i | \(0.373021\pi\) | |||||||
\(450\) | −6.06830e6 | + | 4.57344e6i | −1.41265 | + | 1.06466i | ||||
\(451\) | 1.49445e6 | 0.345972 | ||||||||
\(452\) | −2.31052e6 | − | 1.67869e6i | −0.531941 | − | 0.386478i | ||||
\(453\) | 1.31271e6 | + | 4.04011e6i | 0.300555 | + | 0.925013i | ||||
\(454\) | −1.01193e6 | − | 3.11439e6i | −0.230414 | − | 0.709142i | ||||
\(455\) | 1.91231e6 | − | 2.68115e6i | 0.433042 | − | 0.607146i | ||||
\(456\) | 1.69945e6 | − | 5.23038e6i | 0.382734 | − | 1.17794i | ||||
\(457\) | 356547. | 0.0798595 | 0.0399297 | − | 0.999202i | \(-0.487287\pi\) | ||||
0.0399297 | + | 0.999202i | \(0.487287\pi\) | |||||||
\(458\) | 1.25304e6 | − | 3.85647e6i | 0.279127 | − | 0.859066i | ||||
\(459\) | −7.05486e6 | + | 5.12565e6i | −1.56299 | + | 1.13558i | ||||
\(460\) | 17395.5 | + | 1.98555e6i | 0.00383302 | + | 0.437509i | ||||
\(461\) | −87505.5 | − | 63576.5i | −0.0191771 | − | 0.0139330i | 0.578155 | − | 0.815927i | \(-0.303773\pi\) |
−0.597333 | + | 0.801994i | \(0.703773\pi\) | |||||||
\(462\) | −2.46310e6 | + | 1.78955e6i | −0.536880 | + | 0.390066i | ||||
\(463\) | −1.86264e6 | + | 1.35329e6i | −0.403810 | + | 0.293385i | −0.771091 | − | 0.636725i | \(-0.780289\pi\) |
0.367281 | + | 0.930110i | \(0.380289\pi\) | |||||||
\(464\) | 547658. | + | 397897.i | 0.118090 | + | 0.0857977i | ||||
\(465\) | 2.00118e6 | − | 669662.i | 0.429195 | − | 0.143623i | ||||
\(466\) | 548212. | − | 398300.i | 0.116946 | − | 0.0849660i | ||||
\(467\) | 2.00543e6 | − | 6.17207e6i | 0.425515 | − | 1.30960i | −0.476985 | − | 0.878911i | \(-0.658270\pi\) |
0.902500 | − | 0.430689i | \(-0.141730\pi\) | |||||||
\(468\) | 8.61311e6 | 1.81780 | ||||||||
\(469\) | −254742. | + | 784016.i | −0.0534772 | + | 0.164586i | ||||
\(470\) | −9797.25 | − | 1.11828e6i | −0.00204578 | − | 0.233509i | ||||
\(471\) | 3.71746e6 | + | 1.14412e7i | 0.772137 | + | 2.37639i | ||||
\(472\) | −338831. | − | 1.04282e6i | −0.0700049 | − | 0.215453i | ||||
\(473\) | 3.95036e6 | + | 2.87010e6i | 0.811864 | + | 0.589854i | ||||
\(474\) | −5.47748e6 | −1.11979 | ||||||||
\(475\) | −2.99769e6 | − | 8.70399e6i | −0.609611 | − | 1.77005i | ||||
\(476\) | −872030. | −0.176406 | ||||||||
\(477\) | 1.27222e7 | + | 9.24324e6i | 2.56016 | + | 1.86007i | ||||
\(478\) | −1.13338e6 | − | 3.48818e6i | −0.226885 | − | 0.698280i | ||||
\(479\) | 1.31035e6 | + | 4.03283e6i | 0.260944 | + | 0.803103i | 0.992600 | + | 0.121429i | \(0.0387477\pi\) |
−0.731656 | + | 0.681674i | \(0.761252\pi\) | |||||||
\(480\) | −993279. | − | 1.34224e6i | −0.196774 | − | 0.265906i | ||||
\(481\) | −1.58401e6 | + | 4.87507e6i | −0.312172 | + | 0.960767i | ||||
\(482\) | 1.75193e6 | 0.343477 | ||||||||
\(483\) | −1.33126e6 | + | 4.09721e6i | −0.259655 | + | 0.799136i | ||||
\(484\) | 93334.8 | − | 67811.7i | 0.0181105 | − | 0.0131580i | ||||
\(485\) | −3.76389e6 | − | 5.08624e6i | −0.726578 | − | 0.981844i | ||||
\(486\) | −6.99491e6 | − | 5.08210e6i | −1.34336 | − | 0.976006i | ||||
\(487\) | 1.71797e6 | − | 1.24818e6i | 0.328242 | − | 0.238482i | −0.411442 | − | 0.911436i | \(-0.634975\pi\) |
0.739684 | + | 0.672954i | \(0.234975\pi\) | |||||||
\(488\) | −832231. | + | 604651.i | −0.158196 | + | 0.114936i | ||||
\(489\) | −1.51825e7 | − | 1.10307e7i | −2.87125 | − | 2.08609i | ||||
\(490\) | 2.64044e6 | + | 832427.i | 0.496805 | + | 0.156623i | ||||
\(491\) | −6.36298e6 | + | 4.62298e6i | −1.19112 | + | 0.865402i | −0.993383 | − | 0.114852i | \(-0.963361\pi\) |
−0.197741 | + | 0.980254i | \(0.563361\pi\) | |||||||
\(492\) | −549526. | + | 1.69127e6i | −0.102347 | + | 0.314992i | ||||
\(493\) | 2.16637e6 | 0.401435 | ||||||||
\(494\) | −3.22449e6 | + | 9.92395e6i | −0.594488 | + | 1.82965i | ||||
\(495\) | −1.26399e7 | + | 4.22972e6i | −2.31862 | + | 0.775887i | ||||
\(496\) | 102375. | + | 315078.i | 0.0186849 | + | 0.0575061i | ||||
\(497\) | −536987. | − | 1.65267e6i | −0.0975152 | − | 0.300121i | ||||
\(498\) | 2.68580e6 | + | 1.95135e6i | 0.485289 | + | 0.352583i | ||||
\(499\) | 3.33102e6 | 0.598860 | 0.299430 | − | 0.954118i | \(-0.403203\pi\) | ||||
0.299430 | + | 0.954118i | \(0.403203\pi\) | |||||||
\(500\) | −2.68006e6 | − | 793572.i | −0.479424 | − | 0.141959i | ||||
\(501\) | 7.03888e6 | 1.25288 | ||||||||
\(502\) | −5.49512e6 | − | 3.99244e6i | −0.973235 | − | 0.707096i | ||||
\(503\) | −117278. | − | 360945.i | −0.0206680 | − | 0.0636094i | 0.940191 | − | 0.340649i | \(-0.110647\pi\) |
−0.960859 | + | 0.277039i | \(0.910647\pi\) | |||||||
\(504\) | −799803. | − | 2.46154e6i | −0.140251 | − | 0.431649i | ||||
\(505\) | −4.78235e6 | + | 1.60033e6i | −0.834474 | + | 0.279243i | ||||
\(506\) | −1.07629e6 | + | 3.31249e6i | −0.186876 | + | 0.575146i | ||||
\(507\) | −1.20442e7 | −2.08092 | ||||||||
\(508\) | −981437. | + | 3.02055e6i | −0.168734 | + | 0.519310i | ||||
\(509\) | 6.61037e6 | − | 4.80271e6i | 1.13092 | − | 0.821660i | 0.145090 | − | 0.989418i | \(-0.453653\pi\) |
0.985828 | + | 0.167758i | \(0.0536529\pi\) | |||||||
\(510\) | −5.09646e6 | − | 1.60672e6i | −0.867648 | − | 0.273536i | ||||
\(511\) | 4.28019e6 | + | 3.10974e6i | 0.725122 | + | 0.526832i | ||||
\(512\) | 212079. | − | 154084.i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | 2.53674e7 | − | 1.84305e7i | 4.25581 | − | 3.09203i | ||||
\(514\) | −295055. | − | 214370.i | −0.0492601 | − | 0.0357896i | ||||
\(515\) | 3.44480e6 | + | 4.65505e6i | 0.572329 | + | 0.773403i | ||||
\(516\) | −4.70067e6 | + | 3.41524e6i | −0.777205 | + | 0.564672i | ||||
\(517\) | 606176. | − | 1.86562e6i | 0.0997406 | − | 0.306970i | ||||
\(518\) | 1.54034e6 | 0.252227 | ||||||||
\(519\) | −2.11630e6 | + | 6.51332e6i | −0.344873 | + | 1.06141i | ||||
\(520\) | 1.88461e6 | + | 2.54673e6i | 0.305643 | + | 0.413023i | ||||
\(521\) | 2.81520e6 | + | 8.66428e6i | 0.454375 | + | 1.39842i | 0.871867 | + | 0.489742i | \(0.162909\pi\) |
−0.417492 | + | 0.908680i | \(0.637091\pi\) | |||||||
\(522\) | 1.98694e6 | + | 6.11517e6i | 0.319160 | + | 0.982273i | ||||
\(523\) | −4.55289e6 | − | 3.30787e6i | −0.727835 | − | 0.528803i | 0.161043 | − | 0.986947i | \(-0.448514\pi\) |
−0.888878 | + | 0.458145i | \(0.848514\pi\) | |||||||
\(524\) | 143571. | 0.0228423 | ||||||||
\(525\) | −4.96780e6 | − | 3.47799e6i | −0.786622 | − | 0.550719i | ||||
\(526\) | 6.64947e6 | 1.04791 | ||||||||
\(527\) | 857729. | + | 623177.i | 0.134531 | + | 0.0977428i | ||||
\(528\) | −905099. | − | 2.78561e6i | −0.141290 | − | 0.434846i | ||||
\(529\) | −465980. | − | 1.43414e6i | −0.0723983 | − | 0.222819i | ||||
\(530\) | 50675.5 | + | 5.78420e6i | 0.00783626 | + | 0.894445i | ||||
\(531\) | 3.21836e6 | − | 9.90508e6i | 0.495334 | − | 1.52448i | ||||
\(532\) | 3.13559e6 | 0.480330 | ||||||||
\(533\) | 1.04265e6 | − | 3.20895e6i | 0.158972 | − | 0.489266i | ||||
\(534\) | 2.19010e6 | − | 1.59120e6i | 0.332361 | − | 0.241474i | ||||
\(535\) | 6.76715e6 | − | 2.26451e6i | 1.02217 | − | 0.342051i | ||||
\(536\) | −641602. | − | 466151.i | −0.0964614 | − | 0.0700833i | ||||
\(537\) | −6.11838e6 | + | 4.44526e6i | −0.915589 | + | 0.665214i | ||||
\(538\) | −5.36401e6 | + | 3.89718e6i | −0.798976 | + | 0.580490i | ||||
\(539\) | 3.92880e6 | + | 2.85444e6i | 0.582489 | + | 0.423203i | ||||
\(540\) | −83405.2 | − | 9.52002e6i | −0.0123086 | − | 1.40493i | ||||
\(541\) | −376173. | + | 273306.i | −0.0552579 | + | 0.0401472i | −0.615071 | − | 0.788471i | \(-0.710873\pi\) |
0.559813 | + | 0.828619i | \(0.310873\pi\) | |||||||
\(542\) | 2.94091e6 | − | 9.05120e6i | 0.430015 | − | 1.32345i | ||||
\(543\) | −2.47488e7 | −3.60209 | ||||||||
\(544\) | 259241. | − | 797861.i | 0.0375583 | − | 0.115593i | ||||
\(545\) | −4.69332e6 | + | 6.58026e6i | −0.676844 | + | 0.948969i | ||||
\(546\) | 2.12413e6 | + | 6.53740e6i | 0.304929 | + | 0.938476i | ||||
\(547\) | 2.44717e6 | + | 7.53163e6i | 0.349701 | + | 1.07627i | 0.959019 | + | 0.283342i | \(0.0914433\pi\) |
−0.609318 | + | 0.792926i | \(0.708557\pi\) | |||||||
\(548\) | −3.50223e6 | − | 2.54452e6i | −0.498189 | − | 0.361955i | ||||
\(549\) | −9.77095e6 | −1.38359 | ||||||||
\(550\) | −4.01634e6 | − | 2.81186e6i | −0.566140 | − | 0.396358i | ||||
\(551\) | −7.78970e6 | −1.09305 | ||||||||
\(552\) | −3.35297e6 | − | 2.43607e6i | −0.468362 | − | 0.340285i | ||||
\(553\) | −965062. | − | 2.97016e6i | −0.134197 | − | 0.413015i | ||||
\(554\) | −1.49164e6 | − | 4.59079e6i | −0.206485 | − | 0.635497i | ||||
\(555\) | 9.00228e6 | + | 2.83807e6i | 1.24057 | + | 0.391103i | ||||
\(556\) | −300892. | + | 926052.i | −0.0412785 | + | 0.127042i | ||||
\(557\) | −3.10398e6 | −0.423917 | −0.211958 | − | 0.977279i | \(-0.567984\pi\) | ||||
−0.211958 | + | 0.977279i | \(0.567984\pi\) | |||||||
\(558\) | −972399. | + | 2.99273e6i | −0.132208 | + | 0.406895i | ||||
\(559\) | 8.91888e6 | − | 6.47995e6i | 1.20720 | − | 0.877086i | ||||
\(560\) | 552826. | − | 775090.i | 0.0744935 | − | 0.104444i | ||||
\(561\) | −7.58320e6 | − | 5.50952e6i | −1.01729 | − | 0.739106i | ||||
\(562\) | 1.22717e6 | − | 891593.i | 0.163895 | − | 0.119076i | ||||
\(563\) | 7.24800e6 | − | 5.26598e6i | 0.963712 | − | 0.700178i | 0.00970232 | − | 0.999953i | \(-0.496912\pi\) |
0.954010 | + | 0.299775i | \(0.0969116\pi\) | |||||||
\(564\) | 1.88841e6 | + | 1.37201e6i | 0.249977 | + | 0.181619i | ||||
\(565\) | 5.79416e6 | − | 8.12370e6i | 0.763606 | − | 1.07061i | ||||
\(566\) | −5.43985e6 | + | 3.95228e6i | −0.713750 | + | 0.518570i | ||||
\(567\) | 3.34619e6 | − | 1.02985e7i | 0.437112 | − | 1.34529i | ||||
\(568\) | 1.67175e6 | 0.217420 | ||||||||
\(569\) | 416378. | − | 1.28148e6i | 0.0539147 | − | 0.165932i | −0.920473 | − | 0.390805i | \(-0.872197\pi\) |
0.974388 | + | 0.224873i | \(0.0721966\pi\) | |||||||
\(570\) | 1.83255e7 | + | 5.77733e6i | 2.36249 | + | 0.744800i | ||||
\(571\) | −1.58143e6 | − | 4.86715e6i | −0.202983 | − | 0.624719i | −0.999790 | − | 0.0204845i | \(-0.993479\pi\) |
0.796807 | − | 0.604234i | \(-0.206521\pi\) | |||||||
\(572\) | 1.71730e6 | + | 5.28532e6i | 0.219461 | + | 0.675431i | ||||
\(573\) | −293560. | − | 213284.i | −0.0373517 | − | 0.0271376i | ||||
\(574\) | −1.01391e6 | −0.128445 | ||||||||
\(575\) | −6.93643e6 | + | 121550.i | −0.874917 | + | 0.0153315i | ||||
\(576\) | 2.48995e6 | 0.312705 | ||||||||
\(577\) | 882029. | + | 640832.i | 0.110292 | + | 0.0801317i | 0.641564 | − | 0.767069i | \(-0.278286\pi\) |
−0.531272 | + | 0.847201i | \(0.678286\pi\) | |||||||
\(578\) | 925410. | + | 2.84812e6i | 0.115216 | + | 0.354600i | ||||
\(579\) | 4.67971e6 | + | 1.44027e7i | 0.580126 | + | 1.78544i | ||||
\(580\) | −1.37338e6 | + | 1.92554e6i | −0.169520 | + | 0.237675i | ||||
\(581\) | −584912. | + | 1.80017e6i | −0.0718870 | + | 0.221245i | ||||
\(582\) | 1.32070e7 | 1.61620 | ||||||||
\(583\) | −3.13540e6 | + | 9.64976e6i | −0.382051 | + | 1.17583i | ||||
\(584\) | −4.11768e6 | + | 2.99167e6i | −0.499598 | + | 0.362979i | ||||
\(585\) | 263635. | + | 3.00918e7i | 0.0318503 | + | 3.63545i | ||||
\(586\) | 6.74853e6 | + | 4.90310e6i | 0.811831 | + | 0.589829i | ||||
\(587\) | 4.34727e6 | − | 3.15848e6i | 0.520741 | − | 0.378341i | −0.296142 | − | 0.955144i | \(-0.595700\pi\) |
0.816883 | + | 0.576803i | \(0.195700\pi\) | |||||||
\(588\) | −4.67501e6 | + | 3.39660e6i | −0.557622 | + | 0.405136i | ||||
\(589\) | −3.08417e6 | − | 2.24078e6i | −0.366311 | − | 0.266140i | ||||
\(590\) | 3.63294e6 | − | 1.21570e6i | 0.429663 | − | 0.143780i | ||||
\(591\) | −980002. | + | 712013.i | −0.115414 | + | 0.0838531i | ||||
\(592\) | −457917. | + | 1.40933e6i | −0.0537011 | + | 0.165275i | ||||
\(593\) | 4.93112e6 | 0.575849 | 0.287924 | − | 0.957653i | \(-0.407035\pi\) | ||||
0.287924 | + | 0.957653i | \(0.407035\pi\) | |||||||
\(594\) | 5.16045e6 | − | 1.58822e7i | 0.600097 | − | 1.84691i | ||||
\(595\) | −26691.6 | − | 3.04663e6i | −0.00309088 | − | 0.352799i | ||||
\(596\) | −298304. | − | 918084.i | −0.0343988 | − | 0.105869i | ||||
\(597\) | 2.55027e6 | + | 7.84894e6i | 0.292854 | + | 0.901312i | ||||
\(598\) | 6.36180e6 | + | 4.62212e6i | 0.727490 | + | 0.528553i | ||||
\(599\) | 8.84620e6 | 1.00737 | 0.503686 | − | 0.863887i | \(-0.331977\pi\) | ||||
0.503686 | + | 0.863887i | \(0.331977\pi\) | |||||||
\(600\) | 4.65902e6 | − | 3.51133e6i | 0.528344 | − | 0.398192i | ||||
\(601\) | −608229. | −0.0686881 | −0.0343440 | − | 0.999410i | \(-0.510934\pi\) | ||||
−0.0343440 | + | 0.999410i | \(0.510934\pi\) | |||||||
\(602\) | −2.68010e6 | − | 1.94721e6i | −0.301412 | − | 0.218988i | ||||
\(603\) | −2.32777e6 | − | 7.16415e6i | −0.260704 | − | 0.802364i | ||||
\(604\) | −720030. | − | 2.21603e6i | −0.0803079 | − | 0.247162i | ||||
\(605\) | 239772. | + | 324010.i | 0.0266324 | + | 0.0359890i | ||||
\(606\) | 3.25271e6 | − | 1.00108e7i | 0.359802 | − | 1.10736i | ||||
\(607\) | 3.20411e6 | 0.352968 | 0.176484 | − | 0.984303i | \(-0.443528\pi\) | ||||
0.176484 | + | 0.984303i | \(0.443528\pi\) | |||||||
\(608\) | −932161. | + | 2.86890e6i | −0.102266 | + | 0.314743i | ||||
\(609\) | −4.15144e6 | + | 3.01620e6i | −0.453582 | + | 0.329546i | ||||
\(610\) | −2.13796e6 | − | 2.88908e6i | −0.232635 | − | 0.314365i | ||||
\(611\) | −3.58301e6 | − | 2.60321e6i | −0.388280 | − | 0.282102i | ||||
\(612\) | 6.44657e6 | − | 4.68371e6i | 0.695746 | − | 0.505489i | ||||
\(613\) | −1.26571e7 | + | 9.19594e6i | −1.36045 | + | 0.988428i | −0.362038 | + | 0.932163i | \(0.617919\pi\) |
−0.998416 | + | 0.0562643i | \(0.982081\pi\) | |||||||
\(614\) | 8.04050e6 | + | 5.84177e6i | 0.860721 | + | 0.625350i | ||||
\(615\) | −5.92564e6 | − | 1.86812e6i | −0.631753 | − | 0.199167i | ||||
\(616\) | 1.35102e6 | − | 981577.i | 0.143454 | − | 0.104225i | ||||
\(617\) | 3.84089e6 | − | 1.18210e7i | 0.406180 | − | 1.25009i | −0.513726 | − | 0.857955i | \(-0.671735\pi\) |
0.919906 | − | 0.392140i | \(-0.128265\pi\) | |||||||
\(618\) | −1.20873e7 | −1.27309 | ||||||||
\(619\) | −1.43022e6 | + | 4.40176e6i | −0.150029 | + | 0.461743i | −0.997623 | − | 0.0689024i | \(-0.978050\pi\) |
0.847594 | + | 0.530645i | \(0.178050\pi\) | |||||||
\(620\) | −1.09766e6 | + | 367314.i | −0.114680 | + | 0.0383759i | ||||
\(621\) | −7.30205e6 | − | 2.24734e7i | −0.759829 | − | 2.33851i | ||||
\(622\) | 889535. | + | 2.73771e6i | 0.0921907 | + | 0.283734i | ||||
\(623\) | 1.24869e6 | + | 907227.i | 0.128895 | + | 0.0936474i | ||||
\(624\) | −6.61284e6 | −0.679871 | ||||||||
\(625\) | 2.69049e6 | − | 9.38769e6i | 0.275506 | − | 0.961299i | ||||
\(626\) | −2.29171e6 | −0.233735 | ||||||||
\(627\) | 2.72672e7 | + | 1.98108e7i | 2.76995 | + | 2.01248i | ||||
\(628\) | −2.03905e6 | − | 6.27555e6i | −0.206314 | − | 0.634969i | ||||
\(629\) | 1.46544e6 | + | 4.51016e6i | 0.147687 | + | 0.454533i | ||||
\(630\) | 8.57546e6 | − | 2.86963e6i | 0.860808 | − | 0.288055i | ||||
\(631\) | 2.97606e6 | − | 9.15937e6i | 0.297556 | − | 0.915783i | −0.684795 | − | 0.728736i | \(-0.740108\pi\) |
0.982351 | − | 0.187047i | \(-0.0598917\pi\) | |||||||
\(632\) | 3.00443e6 | 0.299206 | ||||||||
\(633\) | 4.09551e6 | − | 1.26047e7i | 0.406255 | − | 1.25032i | ||||
\(634\) | −1.99893e6 | + | 1.45231e6i | −0.197504 | + | 0.143495i | ||||
\(635\) | −1.05830e7 | − | 3.33641e6i | −1.04154 | − | 0.328356i | ||||
\(636\) | −9.76768e6 | − | 7.09663e6i | −0.957522 | − | 0.695680i | ||||
\(637\) | 8.87021e6 | − | 6.44458e6i | 0.866134 | − | 0.629283i | ||||
\(638\) | −3.35633e6 | + | 2.43852e6i | −0.326447 | + | 0.237178i | ||||
\(639\) | 1.28463e7 | + | 9.33340e6i | 1.24459 | + | 0.904248i | ||||
\(640\) | 544819. | + | 736229.i | 0.0525778 | + | 0.0710498i | ||||
\(641\) | 1.75392e6 | − | 1.27430e6i | 0.168603 | − | 0.122497i | −0.500284 | − | 0.865861i | \(-0.666771\pi\) |
0.668887 | + | 0.743364i | \(0.266771\pi\) | |||||||
\(642\) | −4.60267e6 | + | 1.41656e7i | −0.440730 | + | 1.35643i | ||||
\(643\) | 9.32371e6 | 0.889327 | 0.444663 | − | 0.895698i | \(-0.353323\pi\) | ||||
0.444663 | + | 0.895698i | \(0.353323\pi\) | |||||||
\(644\) | 730207. | − | 2.24734e6i | 0.0693795 | − | 0.213528i | ||||
\(645\) | −1.20758e7 | − | 1.63183e7i | −1.14292 | − | 1.54446i | ||||
\(646\) | 2.98313e6 | + | 9.18112e6i | 0.281249 | + | 0.865595i | ||||
\(647\) | −6.06148e6 | − | 1.86553e7i | −0.569269 | − | 1.75203i | −0.654912 | − | 0.755705i | \(-0.727294\pi\) |
0.0856430 | − | 0.996326i | \(-0.472706\pi\) | |||||||
\(648\) | 8.42783e6 | + | 6.12318e6i | 0.788457 | + | 0.572848i | ||||
\(649\) | 6.71980e6 | 0.626246 | ||||||||
\(650\) | −8.83987e6 | + | 6.66227e6i | −0.820658 | + | 0.618498i | ||||
\(651\) | −2.51131e6 | −0.232246 | ||||||||
\(652\) | 8.32770e6 | + | 6.05043e6i | 0.767195 | + | 0.557400i | ||||
\(653\) | 1.19021e6 | + | 3.66308e6i | 0.109230 | + | 0.336174i | 0.990700 | − | 0.136066i | \(-0.0434458\pi\) |
−0.881470 | + | 0.472239i | \(0.843446\pi\) | |||||||
\(654\) | −5.21318e6 | − | 1.60445e7i | −0.476605 | − | 1.46684i | ||||
\(655\) | 4394.51 | + | 501598.i | 0.000400228 | + | 0.0456828i | ||||
\(656\) | 301418. | − | 927671.i | 0.0273470 | − | 0.0841655i | ||||
\(657\) | −4.83443e7 | −4.36950 | ||||||||
\(658\) | −411257. | + | 1.26572e6i | −0.0370296 | + | 0.113965i | ||||
\(659\) | 4.55202e6 | − | 3.30723e6i | 0.408310 | − | 0.296655i | −0.364607 | − | 0.931161i | \(-0.618797\pi\) |
0.772917 | + | 0.634507i | \(0.218797\pi\) | |||||||
\(660\) | 9.70444e6 | − | 3.24743e6i | 0.867183 | − | 0.290188i | ||||
\(661\) | 4.36608e6 | + | 3.17214e6i | 0.388676 | + | 0.282390i | 0.764913 | − | 0.644134i | \(-0.222782\pi\) |
−0.376237 | + | 0.926524i | \(0.622782\pi\) | |||||||
\(662\) | −7.87746e6 | + | 5.72331e6i | −0.698620 | + | 0.507577i | ||||
\(663\) | −1.71209e7 | + | 1.24391e7i | −1.51267 | + | 1.09902i | ||||
\(664\) | −1.47318e6 | − | 1.07033e6i | −0.129669 | − | 0.0942098i | ||||
\(665\) | 95975.9 | + | 1.09549e7i | 0.00841605 | + | 0.960624i | ||||
\(666\) | −1.13871e7 | + | 8.27321e6i | −0.994781 | + | 0.722751i | ||||
\(667\) | −1.81404e6 | + | 5.58305e6i | −0.157882 | + | 0.485911i | ||||
\(668\) | −3.86087e6 | −0.334768 | ||||||||
\(669\) | 4.32070e6 | − | 1.32978e7i | 0.373241 | − | 1.14872i | ||||
\(670\) | 1.60896e6 | − | 2.25585e6i | 0.138471 | − | 0.194143i | ||||
\(671\) | −1.94816e6 | − | 5.99581e6i | −0.167039 | − | 0.514093i | ||||
\(672\) | 614061. | + | 1.88988e6i | 0.0524552 | + | 0.161440i | ||||
\(673\) | −3.05186e6 | − | 2.21731e6i | −0.259733 | − | 0.188707i | 0.450296 | − | 0.892879i | \(-0.351318\pi\) |
−0.710029 | + | 0.704172i | \(0.751318\pi\) | |||||||
\(674\) | −1.00714e7 | −0.853965 | ||||||||
\(675\) | 3.32578e7 | − | 582789.i | 2.80953 | − | 0.0492325i | ||||
\(676\) | 6.60629e6 | 0.556020 | ||||||||
\(677\) | −1.07590e7 | − | 7.81690e6i | −0.902198 | − | 0.655485i | 0.0368319 | − | 0.999321i | \(-0.488273\pi\) |
−0.939030 | + | 0.343837i | \(0.888273\pi\) | |||||||
\(678\) | 6.43596e6 | + | 1.98078e7i | 0.537698 | + | 1.65487i | ||||
\(679\) | 2.32690e6 | + | 7.16145e6i | 0.193688 | + | 0.596110i | ||||
\(680\) | 2.79544e6 | + | 881294.i | 0.231834 | + | 0.0730884i | ||||
\(681\) | −7.37951e6 | + | 2.27118e7i | −0.609761 | + | 1.87665i | ||||
\(682\) | −2.03033e6 | −0.167150 | ||||||||
\(683\) | −1.53792e6 | + | 4.73323e6i | −0.126149 | + | 0.388245i | −0.994109 | − | 0.108389i | \(-0.965431\pi\) |
0.867960 | + | 0.496634i | \(0.165431\pi\) | |||||||
\(684\) | −2.31802e7 | + | 1.68414e7i | −1.89442 | + | 1.37638i | ||||
\(685\) | 8.78265e6 | − | 1.23137e7i | 0.715154 | − | 1.00268i | ||||
\(686\) | −6.28372e6 | − | 4.56539e6i | −0.509808 | − | 0.370397i | ||||
\(687\) | −2.39232e7 | + | 1.73813e7i | −1.93387 | + | 1.40504i | ||||
\(688\) | 2.57834e6 | − | 1.87328e6i | 0.207668 | − | 0.150880i | ||||
\(689\) | 1.85329e7 | + | 1.34649e7i | 1.48728 | + | 1.08058i | ||||
\(690\) | 8.40833e6 | − | 1.17889e7i | 0.672337 | − | 0.942650i | ||||
\(691\) | −1.10675e7 | + | 8.04103e6i | −0.881770 | + | 0.640644i | −0.933719 | − | 0.358006i | \(-0.883457\pi\) |
0.0519489 | + | 0.998650i | \(0.483457\pi\) | |||||||
\(692\) | 1.16081e6 | − | 3.57259e6i | 0.0921498 | − | 0.283608i | ||||
\(693\) | 1.58619e7 | 1.25465 | ||||||||
\(694\) | 3.04690e6 | − | 9.37739e6i | 0.240137 | − | 0.739066i | ||||
\(695\) | −3.24458e6 | − | 1.02289e6i | −0.254798 | − | 0.0803279i | ||||
\(696\) | −1.52550e6 | − | 4.69501e6i | −0.119369 | − | 0.367379i | ||||
\(697\) | −964608. | − | 2.96876e6i | −0.0752088 | − | 0.231469i | ||||
\(698\) | −8.47498e6 | − | 6.15743e6i | −0.658416 | − | 0.478367i | ||||
\(699\) | −4.94163e6 | −0.382540 | ||||||||
\(700\) | 2.72487e6 | + | 1.90770e6i | 0.210184 | + | 0.147151i | ||||
\(701\) | 1.40227e7 | 1.07780 | 0.538898 | − | 0.842371i | \(-0.318841\pi\) | ||||
0.538898 | + | 0.842371i | \(0.318841\pi\) | |||||||
\(702\) | −3.05026e7 | − | 2.21614e7i | −2.33611 | − | 1.69729i | ||||
\(703\) | −5.26934e6 | − | 1.62173e7i | −0.402131 | − | 1.23763i | ||||
\(704\) | 496452. | + | 1.52792e6i | 0.0377525 | + | 0.116190i | ||||
\(705\) | −4.73563e6 | + | 6.63959e6i | −0.358843 | + | 0.503116i | ||||
\(706\) | 2.56791e6 | − | 7.90321e6i | 0.193896 | − | 0.596749i | ||||
\(707\) | 6.00143e6 | 0.451551 | ||||||||
\(708\) | −2.47094e6 | + | 7.60477e6i | −0.185259 | + | 0.570168i | ||||
\(709\) | −8.82382e6 | + | 6.41088e6i | −0.659236 | + | 0.478963i | −0.866405 | − | 0.499342i | \(-0.833575\pi\) |
0.207169 | + | 0.978305i | \(0.433575\pi\) | |||||||
\(710\) | 51169.8 | + | 5.84062e6i | 0.00380950 | + | 0.434824i | ||||
\(711\) | 2.30872e7 | + | 1.67738e7i | 1.71276 | + | 1.24439i | ||||
\(712\) | −1.20128e6 | + | 872782.i | −0.0888065 | + | 0.0645217i | ||||
\(713\) | −2.32425e6 | + | 1.68866e6i | −0.171221 | + | 0.124400i | ||||
\(714\) | 5.14479e6 | + | 3.73791e6i | 0.377678 | + | 0.274399i | ||||
\(715\) | −1.84129e7 | + | 6.16156e6i | −1.34697 | + | 0.450739i | ||||
\(716\) | 3.35597e6 | − | 2.43825e6i | 0.244644 | − | 0.177744i | ||||
\(717\) | −8.26521e6 | + | 2.54377e7i | −0.600421 | + | 1.84791i | ||||
\(718\) | 6.56533e6 | 0.475276 | ||||||||
\(719\) | −4.25095e6 | + | 1.30831e7i | −0.306665 | + | 0.943817i | 0.672386 | + | 0.740201i | \(0.265270\pi\) |
−0.979051 | + | 0.203617i | \(0.934730\pi\) | |||||||
\(720\) | 76213.8 | + | 8.69919e6i | 0.00547901 | + | 0.625385i | ||||
\(721\) | −2.12963e6 | − | 6.55433e6i | −0.152569 | − | 0.469559i | ||||
\(722\) | −7.66591e6 | − | 2.35932e7i | −0.547294 | − | 1.68440i | ||||
\(723\) | −1.03360e7 | − | 7.50954e6i | −0.735371 | − | 0.534278i | ||||
\(724\) | 1.35749e7 | 0.962474 | ||||||||
\(725\) | −6.76935e6 | − | 4.73926e6i | −0.478302 | − | 0.334862i | ||||
\(726\) | −841327. | −0.0592411 | ||||||||
\(727\) | −6.38538e6 | − | 4.63925e6i | −0.448075 | − | 0.325546i | 0.340760 | − | 0.940150i | \(-0.389316\pi\) |
−0.788835 | + | 0.614605i | \(0.789316\pi\) | |||||||
\(728\) | −1.16510e6 | − | 3.58580e6i | −0.0814768 | − | 0.250760i | ||||
\(729\) | 7.26163e6 | + | 2.23490e7i | 0.506076 | + | 1.55754i | ||||
\(730\) | −1.05781e7 | − | 1.42945e7i | −0.734684 | − | 0.992798i | ||||
\(731\) | 3.15171e6 | − | 9.69997e6i | 0.218149 | − | 0.671393i | ||||
\(732\) | 7.50179e6 | 0.517473 | ||||||||
\(733\) | 596010. | − | 1.83433e6i | 0.0409726 | − | 0.126101i | −0.928478 | − | 0.371388i | \(-0.878882\pi\) |
0.969451 | + | 0.245287i | \(0.0788821\pi\) | |||||||
\(734\) | −3.78264e6 | + | 2.74825e6i | −0.259152 | + | 0.188285i | ||||
\(735\) | −1.20099e7 | − | 1.62292e7i | −0.820011 | − | 1.10810i | ||||
\(736\) | 1.83912e6 | + | 1.33620e6i | 0.125146 | + | 0.0909237i | ||||
\(737\) | 3.93207e6 | − | 2.85682e6i | 0.266657 | − | 0.193737i | ||||
\(738\) | 7.49541e6 | − | 5.44574e6i | 0.506588 | − | 0.368058i | ||||
\(739\) | −1.63722e7 | − | 1.18951e7i | −1.10280 | − | 0.801228i | −0.121281 | − | 0.992618i | \(-0.538700\pi\) |
−0.981514 | + | 0.191391i | \(0.938700\pi\) | |||||||
\(740\) | −4.93781e6 | − | 1.55670e6i | −0.331478 | − | 0.104502i | ||||
\(741\) | 6.15622e7 | − | 4.47276e7i | 4.11878 | − | 2.99247i | ||||
\(742\) | 2.12720e6 | − | 6.54684e6i | 0.141840 | − | 0.436538i | ||||
\(743\) | 1.52200e7 | 1.01144 | 0.505722 | − | 0.862696i | \(-0.331226\pi\) | ||||
0.505722 | + | 0.862696i | \(0.331226\pi\) | |||||||
\(744\) | 746573. | − | 2.29772e6i | 0.0494470 | − | 0.152182i | ||||
\(745\) | 3.19840e6 | − | 1.07029e6i | 0.211126 | − | 0.0706499i | ||||
\(746\) | 70913.1 | + | 218248.i | 0.00466530 | + | 0.0143583i | ||||
\(747\) | −5.34479e6 | − | 1.64496e7i | −0.350452 | − | 1.07858i | ||||
\(748\) | 4.15943e6 | + | 3.02200e6i | 0.271819 | + | 0.197488i | ||||
\(749\) | −8.49219e6 | −0.553115 | ||||||||
\(750\) | 1.24102e7 | + | 1.61699e7i | 0.805611 | + | 1.04967i | ||||
\(751\) | 1.68477e6 | 0.109004 | 0.0545019 | − | 0.998514i | \(-0.482643\pi\) | ||||
0.0545019 | + | 0.998514i | \(0.482643\pi\) | |||||||
\(752\) | −1.03581e6 | − | 752557.i | −0.0667934 | − | 0.0485283i | ||||
\(753\) | 1.53067e7 | + | 4.71090e7i | 0.983768 | + | 3.02773i | ||||
\(754\) | 2.89443e6 | + | 8.90815e6i | 0.185411 | + | 0.570636i | ||||
\(755\) | 7.72014e6 | − | 2.58342e6i | 0.492899 | − | 0.164940i | ||||
\(756\) | −3.50108e6 | + | 1.07752e7i | −0.222791 | + | 0.685681i | ||||
\(757\) | −298516. | −0.0189334 | −0.00946668 | − | 0.999955i | \(-0.503013\pi\) | ||||
−0.00946668 | + | 0.999955i | \(0.503013\pi\) | |||||||
\(758\) | 1.57525e6 | − | 4.84812e6i | 0.0995810 | − | 0.306479i | ||||
\(759\) | 2.05487e7 | − | 1.49295e7i | 1.29473 | − | 0.940678i | ||||
\(760\) | −1.00517e7 | − | 3.16890e6i | −0.631253 | − | 0.199010i | ||||
\(761\) | −1.70795e7 | − | 1.24090e7i | −1.06909 | − | 0.776739i | −0.0933414 | − | 0.995634i | \(-0.529755\pi\) |
−0.975748 | + | 0.218895i | \(0.929755\pi\) | |||||||
\(762\) | 1.87377e7 | − | 1.36137e7i | 1.16904 | − | 0.849356i | ||||
\(763\) | 7.78161e6 | − | 5.65367e6i | 0.483903 | − | 0.351576i | ||||
\(764\) | 161019. | + | 116987.i | 0.00998032 | + | 0.00725113i | ||||
\(765\) | 1.65609e7 | + | 2.23792e7i | 1.02313 | + | 1.38258i | ||||
\(766\) | −7.21610e6 | + | 5.24281e6i | −0.444356 | + | 0.322843i | ||||
\(767\) | 4.68828e6 | − | 1.44290e7i | 0.287756 | − | 0.885623i | ||||
\(768\) | −1.91169e6 | −0.116954 | ||||||||
\(769\) | −7.31576e6 | + | 2.25156e7i | −0.446112 | + | 1.37299i | 0.435148 | + | 0.900359i | \(0.356696\pi\) |
−0.881260 | + | 0.472632i | \(0.843304\pi\) | |||||||
\(770\) | 3.47071e6 | + | 4.69006e6i | 0.210956 | + | 0.285070i | ||||
\(771\) | 821876. | + | 2.52948e6i | 0.0497933 | + | 0.153248i | ||||
\(772\) | −2.56685e6 | − | 7.89994e6i | −0.155009 | − | 0.477068i | ||||
\(773\) | 1.83058e7 | + | 1.32999e7i | 1.10189 | + | 0.800571i | 0.981368 | − | 0.192139i | \(-0.0615424\pi\) |
0.120524 | + | 0.992710i | \(0.461542\pi\) | |||||||
\(774\) | 3.02715e7 | 1.81627 | ||||||||
\(775\) | −1.31689e6 | − | 3.82368e6i | −0.0787581 | − | 0.228679i | ||||
\(776\) | −7.24409e6 | −0.431847 | ||||||||
\(777\) | −9.08765e6 | − | 6.60256e6i | −0.540007 | − | 0.392338i | ||||
\(778\) | 467736. | + | 1.43954e6i | 0.0277046 | + | 0.0852660i | ||||
\(779\) | 3.46847e6 | + | 1.06749e7i | 0.204783 | + | 0.630259i | ||||
\(780\) | −202410. | − | 2.31034e7i | −0.0119123 | − | 1.35969i | ||||
\(781\) | −3.16598e6 | + | 9.74389e6i | −0.185729 | + | 0.571616i | ||||
\(782\) | 7.27502e6 | 0.425419 | ||||||||
\(783\) | 8.69769e6 | − | 2.67687e7i | 0.506990 | − | 1.56036i | ||||
\(784\) | 2.56427e6 | − | 1.86305e6i | 0.148996 | − | 0.108252i | ||||
\(785\) | 2.18626e7 | − | 7.31596e6i | 1.26627 | − | 0.423738i | ||||
\(786\) | −847040. | − | 615410.i | −0.0489043 | − | 0.0355311i | ||||
\(787\) | −2.35121e7 | + | 1.70825e7i | −1.35318 | + | 0.983139i | −0.354329 | + | 0.935121i | \(0.615291\pi\) |
−0.998846 | + | 0.0480183i | \(0.984709\pi\) | |||||||
\(788\) | 537537. | − | 390543.i | 0.0308385 | − | 0.0224055i | ||||
\(789\) | −3.92305e7 | − | 2.85026e7i | −2.24353 | − | 1.63002i | ||||
\(790\) | 91961.4 | + | 1.04967e7i | 0.00524249 | + | 0.598388i | ||||
\(791\) | −9.60683e6 | + | 6.97977e6i | −0.545932 | + | 0.396643i | ||||
\(792\) | −4.71550e6 | + | 1.45128e7i | −0.267125 | + | 0.822127i | ||||
\(793\) | −1.42336e7 | −0.803772 | ||||||||
\(794\) | −2.30217e6 | + | 7.08534e6i | −0.129594 | + | 0.398850i | ||||
\(795\) | 2.44947e7 | − | 3.43428e7i | 1.37453 | − | 1.92716i | ||||
\(796\) | −1.39884e6 | − | 4.30519e6i | −0.0782502 | − | 0.240829i | ||||
\(797\) | 9.53472e6 | + | 2.93449e7i | 0.531694 | + | 1.63639i | 0.750685 | + | 0.660660i | \(0.229724\pi\) |
−0.218990 | + | 0.975727i | \(0.570276\pi\) | |||||||
\(798\) | −1.84993e7 | − | 1.34405e7i | −1.02837 | − | 0.747152i | ||||
\(799\) | −4.09734e6 | −0.227057 | ||||||||
\(800\) | −2.55550e6 | + | 1.92598e6i | −0.141173 | + | 0.106397i | ||||
\(801\) | −1.41038e7 | −0.776705 | ||||||||
\(802\) | −1.53748e7 | − | 1.11705e7i | −0.844063 | − | 0.613248i | ||||
\(803\) | −9.63902e6 | − | 2.96659e7i | −0.527526 | − | 1.62356i | ||||
\(804\) | 1.78718e6 | + | 5.50039e6i | 0.0975055 | + | 0.300091i | ||||
\(805\) | 7.87395e6 | + | 2.48235e6i | 0.428255 | + | 0.135012i | ||||
\(806\) | −1.41652e6 | + | 4.35961e6i | −0.0768043 | + | 0.236379i | ||||
\(807\) | 4.83516e7 | 2.61353 | ||||||||
\(808\) | −1.78413e6 | + | 5.49099e6i | −0.0961387 | + | 0.295885i | ||||
\(809\) | 2.00002e7 | − | 1.45310e7i | 1.07439 | − | 0.780591i | 0.0976944 | − | 0.995216i | \(-0.468853\pi\) |
0.976696 | + | 0.214626i | \(0.0688532\pi\) | |||||||
\(810\) | −2.11347e7 | + | 2.96319e7i | −1.13184 | + | 1.58689i | ||||
\(811\) | 1.41547e7 | + | 1.02840e7i | 0.755699 | + | 0.549048i | 0.897588 | − | 0.440835i | \(-0.145318\pi\) |
−0.141889 | + | 0.989883i | \(0.545318\pi\) | |||||||
\(812\) | 2.27709e6 | − | 1.65440e6i | 0.121196 | − | 0.0880544i | ||||
\(813\) | −5.61482e7 | + | 4.07941e7i | −2.97927 | + | 2.16457i | ||||
\(814\) | −7.34713e6 | − | 5.33800e6i | −0.388648 | − | 0.282370i | ||||
\(815\) | −2.08836e7 | + | 2.92799e7i | −1.10131 | + | 1.54410i | ||||
\(816\) | −4.94945e6 | + | 3.59599e6i | −0.260215 | + | 0.189057i | ||||
\(817\) | −1.13327e7 | + | 3.48785e7i | −0.593990 | + | 1.82811i | ||||
\(818\) | 2.27564e7 | 1.18910 | ||||||||
\(819\) | 1.10666e7 | − | 3.40594e7i | 0.576505 | − | 1.77430i | ||||
\(820\) | 3.25025e6 | + | 1.02468e6i | 0.168804 | + | 0.0532173i | ||||
\(821\) | −5.16704e6 | − | 1.59025e7i | −0.267537 | − | 0.823395i | −0.991098 | − | 0.133134i | \(-0.957496\pi\) |
0.723561 | − | 0.690261i | \(-0.242504\pi\) | |||||||
\(822\) | 9.75548e6 | + | 3.00243e7i | 0.503581 | + | 1.54986i | ||||
\(823\) | 2.60159e7 | + | 1.89017e7i | 1.33887 | + | 0.972748i | 0.999485 | + | 0.0321017i | \(0.0102200\pi\) |
0.339388 | + | 0.940646i | \(0.389780\pi\) | |||||||
\(824\) | 6.62997e6 | 0.340168 | ||||||||
\(825\) | 1.16427e7 | + | 3.38052e7i | 0.595549 | + | 1.72921i | ||||
\(826\) | −4.55902e6 | −0.232499 | ||||||||
\(827\) | 2.30817e6 | + | 1.67698e6i | 0.117356 | + | 0.0852638i | 0.644915 | − | 0.764254i | \(-0.276893\pi\) |
−0.527559 | + | 0.849518i | \(0.676893\pi\) | |||||||
\(828\) | 6.67246e6 | + | 2.05357e7i | 0.338228 | + | 1.04096i | ||||
\(829\) | −8.27178e6 | − | 2.54579e7i | −0.418035 | − | 1.28658i | −0.909508 | − | 0.415687i | \(-0.863541\pi\) |
0.491473 | − | 0.870893i | \(-0.336459\pi\) | |||||||
\(830\) | 3.69433e6 | − | 5.17964e6i | 0.186140 | − | 0.260978i | ||||
\(831\) | −1.08778e7 | + | 3.34785e7i | −0.546437 | + | 1.68176i | ||||
\(832\) | 3.62718e6 | 0.181661 | ||||||||
\(833\) | 3.13451e6 | − | 9.64704e6i | 0.156516 | − | 0.481705i | ||||
\(834\) | 5.74467e6 | − | 4.17375e6i | 0.285989 | − | 0.207784i | ||||
\(835\) | −118176. | − | 1.34888e7i | −0.00586559 | − | 0.669510i | ||||
\(836\) | −1.49562e7 | − | 1.08663e7i | −0.740126 | − | 0.537733i | ||||
\(837\) | 1.11439e7 | − | 8.09655e6i | 0.549826 | − | 0.399472i | ||||
\(838\) | −2.77959e6 | + | 2.01949e6i | −0.136732 | + | 0.0993416i | ||||
\(839\) | −8.94241e6 | − | 6.49704e6i | −0.438581 | − | 0.318648i | 0.346490 | − | 0.938054i | \(-0.387373\pi\) |
−0.785071 | + | 0.619406i | \(0.787373\pi\) | |||||||
\(840\) | −6.58394e6 | + | 2.20320e6i | −0.321949 | + | 0.107735i | ||||
\(841\) | 1.09369e7 | − | 7.94614e6i | 0.533219 | − | 0.387406i | ||||
\(842\) | −4.60228e6 | + | 1.41644e7i | −0.223714 | + | 0.688521i | ||||
\(843\) | −1.10618e7 | −0.536115 | ||||||||
\(844\) | −2.24641e6 | + | 6.91375e6i | −0.108551 | + | 0.334085i | ||||
\(845\) | 202209. | + | 2.30805e7i | 0.00974224 | + | 1.11200i | ||||
\(846\) | −3.75797e6 | − | 1.15658e7i | −0.180521 | − | 0.555586i | ||||
\(847\) | −148231. | − | 456208.i | −0.00709954 | − | 0.0218501i | ||||
\(848\) | 5.35763e6 | + | 3.89255e6i | 0.255849 | + | 0.185885i | ||||
\(849\) | 4.90352e7 | 2.33474 | ||||||||
\(850\) | −2.99343e6 | + | 9.79346e6i | −0.142109 | + | 0.464932i | ||||
\(851\) | −1.28504e7 | −0.608267 | ||||||||
\(852\) | −9.86295e6 | − | 7.16585e6i | −0.465487 | − | 0.338196i | ||||
\(853\) | −8.74789e6 | − | 2.69232e7i | −0.411652 | − | 1.26694i | −0.915211 | − | 0.402975i | \(-0.867976\pi\) |
0.503559 | − | 0.863961i | \(-0.332024\pi\) | |||||||
\(854\) | 1.32172e6 | + | 4.06783e6i | 0.0620147 | + | 0.190862i | ||||
\(855\) | −5.95486e7 | − | 8.04696e7i | −2.78584 | − | 3.76458i | ||||
\(856\) | 2.52459e6 | − | 7.76990e6i | 0.117763 | − | 0.362436i | ||||
\(857\) | 2.20251e7 | 1.02439 | 0.512195 | − | 0.858869i | \(-0.328832\pi\) | ||||
0.512195 | + | 0.858869i | \(0.328832\pi\) | |||||||
\(858\) | 1.25235e7 | − | 3.85434e7i | 0.580775 | − | 1.78744i | ||||
\(859\) | −9.01320e6 | + | 6.54847e6i | −0.416769 | + | 0.302801i | −0.776337 | − | 0.630318i | \(-0.782924\pi\) |
0.359567 | + | 0.933119i | \(0.382924\pi\) | |||||||
\(860\) | 6.62363e6 | + | 8.95068e6i | 0.305386 | + | 0.412677i | ||||
\(861\) | 5.98183e6 | + | 4.34606e6i | 0.274996 | + | 0.199796i | ||||
\(862\) | 3.60804e6 | − | 2.62139e6i | 0.165388 | − | 0.120161i | ||||
\(863\) | −2.13071e7 | + | 1.54805e7i | −0.973861 | + | 0.707551i | −0.956328 | − | 0.292295i | \(-0.905581\pi\) |
−0.0175324 | + | 0.999846i | \(0.505581\pi\) | |||||||
\(864\) | −8.81794e6 | − | 6.40661e6i | −0.401868 | − | 0.291974i | ||||
\(865\) | 1.25172e7 | + | 3.94618e6i | 0.568809 | + | 0.179323i | ||||
\(866\) | 3.74857e6 | − | 2.72349e6i | 0.169852 | − | 0.123405i | ||||
\(867\) | 6.74859e6 | − | 2.07700e7i | 0.304905 | − | 0.938402i | ||||
\(868\) | 1.37747e6 | 0.0620558 | ||||||||
\(869\) | −5.68984e6 | + | 1.75115e7i | −0.255594 | + | 0.786637i | ||||
\(870\) | 1.63564e7 | − | 5.47339e6i | 0.732637 | − | 0.245165i | ||||
\(871\) | −3.39094e6 | − | 1.04362e7i | −0.151452 | − | 0.466121i | ||||
\(872\) | 2.85946e6 | + | 8.80051e6i | 0.127348 | + | 0.391937i | ||||
\(873\) | −5.56663e7 | − | 4.04439e7i | −2.47205 | − | 1.79605i | ||||
\(874\) | −2.61590e7 | −1.15836 | ||||||||
\(875\) | −6.58156e6 | + | 9.57833e6i | −0.290609 | + | 0.422931i | ||||
\(876\) | 3.71171e7 | 1.63423 | ||||||||
\(877\) | 8.84345e6 | + | 6.42514e6i | 0.388260 | + | 0.282087i | 0.764742 | − | 0.644337i | \(-0.222866\pi\) |
−0.376482 | + | 0.926424i | \(0.622866\pi\) | |||||||
\(878\) | −1.36216e6 | − | 4.19228e6i | −0.0596335 | − | 0.183533i | ||||
\(879\) | −1.87980e7 | − | 5.78544e7i | −0.820617 | − | 2.52560i | ||||
\(880\) | −5.32294e6 | + | 1.78123e6i | −0.231710 | + | 0.0775380i | ||||
\(881\) | −6.45955e6 | + | 1.98805e7i | −0.280390 | + | 0.862952i | 0.707353 | + | 0.706861i | \(0.249889\pi\) |
−0.987743 | + | 0.156091i | \(0.950111\pi\) | |||||||
\(882\) | 3.01063e7 | 1.30312 | ||||||||
\(883\) | −6.41076e6 | + | 1.97303e7i | −0.276699 | + | 0.851592i | 0.712066 | + | 0.702113i | \(0.247760\pi\) |
−0.988765 | + | 0.149480i | \(0.952240\pi\) | |||||||
\(884\) | 9.39092e6 | − | 6.82290e6i | 0.404182 | − | 0.293656i | ||||
\(885\) | −2.66446e7 | − | 8.40001e6i | −1.14354 | − | 0.360513i | ||||
\(886\) | 1.73511e6 | + | 1.26063e6i | 0.0742578 | + | 0.0539515i | ||||
\(887\) | 2.54997e7 | − | 1.85267e7i | 1.08825 | − | 0.790657i | 0.109143 | − | 0.994026i | \(-0.465189\pi\) |
0.979102 | + | 0.203369i | \(0.0651893\pi\) | |||||||
\(888\) | 8.74261e6 | − | 6.35188e6i | 0.372056 | − | 0.270315i | ||||
\(889\) | 1.06834e7 | + | 7.76192e6i | 0.453371 | + | 0.329393i | ||||
\(890\) | −3.08603e6 | − | 4.17023e6i | −0.130594 | − | 0.176476i | ||||
\(891\) | −5.16501e7 | + | 3.75260e7i | −2.17960 | + | 1.58357i | ||||
\(892\) | −2.36993e6 | + | 7.29390e6i | −0.0997295 | + | 0.306936i | ||||
\(893\) | 1.47329e7 | 0.618245 | ||||||||
\(894\) | −2.17539e6 | + | 6.69516e6i | −0.0910319 | + | 0.280167i | ||||
\(895\) | 8.62130e6 | + | 1.16502e7i | 0.359762 | + | 0.486155i | ||||
\(896\) | −336816. | − | 1.03661e6i | −0.0140160 | − | 0.0431367i | ||||
\(897\) | −1.77208e7 | − | 5.45390e7i | −0.735364 | − | 2.26322i | ||||
\(898\) | 1.07391e7 | + | 7.80238e6i | 0.444401 | + | 0.322876i | ||||
\(899\) | −3.42203e6 | −0.141216 | ||||||||
\(900\) | −3.03902e7 | + | 532540.i | −1.25063 | + | 0.0219152i | ||||
\(901\) | 2.11932e7 | 0.869729 | ||||||||
\(902\) | 4.83616e6 | + | 3.51367e6i | 0.197917 | + | 0.143795i | ||||
\(903\) | 7.46543e6 | + | 2.29762e7i | 0.304674 | + | 0.937690i | ||||
\(904\) | −3.53016e6 | − | 1.08647e7i | −0.143672 | − | 0.442178i | ||||
\(905\) | 415508. | + | 4.74268e7i | 0.0168639 | + | 1.92487i | ||||
\(906\) | −5.25085e6 | + | 1.61604e7i | −0.212524 | + | 0.654083i | ||||
\(907\) | 9.17543e6 | 0.370346 | 0.185173 | − | 0.982706i | \(-0.440715\pi\) | ||||
0.185173 | + | 0.982706i | \(0.440715\pi\) | |||||||
\(908\) | 4.04770e6 | − | 1.24576e7i | 0.162927 | − | 0.501439i | ||||
\(909\) | −4.43662e7 | + | 3.22340e7i | −1.78091 | + | 1.29391i | ||||
\(910\) | 1.24921e7 | − | 4.18028e6i | 0.500073 | − | 0.167341i | ||||
\(911\) | −1.30043e7 | − | 9.44818e6i | −0.519148 | − | 0.377183i | 0.297135 | − | 0.954836i | \(-0.403969\pi\) |
−0.816283 | + | 0.577652i | \(0.803969\pi\) | |||||||
\(912\) | 1.77969e7 | − | 1.29302e7i | 0.708529 | − | 0.514777i | ||||
\(913\) | 9.02840e6 | − | 6.55951e6i | 0.358454 | − | 0.260432i | ||||
\(914\) | 1.15381e6 | + | 838293.i | 0.0456845 | + | 0.0331918i | ||||
\(915\) | 229619. | + | 2.62092e7i | 0.00906683 | + | 1.03491i | ||||
\(916\) | 1.31220e7 | − | 9.53372e6i | 0.516729 | − | 0.375425i | ||||
\(917\) | 184468. | − | 567733.i | 0.00724431 | − | 0.0222957i | ||||
\(918\) | −3.48811e7 | −1.36610 | ||||||||
\(919\) | −1.42292e7 | + | 4.37929e7i | −0.555764 | + | 1.71047i | 0.138152 | + | 0.990411i | \(0.455884\pi\) |
−0.693916 | + | 0.720056i | \(0.744116\pi\) | |||||||
\(920\) | −4.61202e6 | + | 6.46628e6i | −0.179648 | + | 0.251875i | ||||
\(921\) | −2.23968e7 | − | 6.89304e7i | −0.870037 | − | 2.67770i | ||||
\(922\) | −133697. | − | 411476.i | −0.00517956 | − | 0.0159411i | ||||
\(923\) | 1.87136e7 | + | 1.35962e7i | 0.723025 | + | 0.525309i | ||||
\(924\) | −1.21782e7 | −0.469250 | ||||||||
\(925\) | 5.28753e6 | − | 1.72990e7i | 0.203188 | − | 0.664762i | ||||
\(926\) | −9.20941e6 | −0.352943 | ||||||||
\(927\) | 5.09471e7 | + | 3.70152e7i | 1.94724 | + | 1.41475i | ||||
\(928\) | 836747. | + | 2.57524e6i | 0.0318951 | + | 0.0981631i | ||||
\(929\) | 489749. | + | 1.50729e6i | 0.0186180 | + | 0.0573004i | 0.959934 | − | 0.280227i | \(-0.0904096\pi\) |
−0.941316 | + | 0.337527i | \(0.890410\pi\) | |||||||
\(930\) | 8.05043e6 | + | 2.53799e6i | 0.305219 | + | 0.0962238i | ||||
\(931\) | −1.12709e7 | + | 3.46882e7i | −0.426171 | + | 1.31162i | ||||
\(932\) | 2.71051e6 | 0.102214 | ||||||||
\(933\) | 6.48697e6 | − | 1.99648e7i | 0.243971 | − | 0.750864i | ||||
\(934\) | 2.10011e7 | − | 1.52582e7i | 0.787726 | − | 0.572316i | ||||
\(935\) | −1.04307e7 | + | 1.46244e7i | −0.390198 | + | 0.547078i | ||||
\(936\) | 2.78726e7 | + | 2.02506e7i | 1.03989 | + | 0.755525i | ||||
\(937\) | −1.90718e7 | + | 1.38565e7i | −0.709649 | + | 0.515590i | −0.883060 | − | 0.469259i | \(-0.844521\pi\) |
0.173412 | + | 0.984849i | \(0.444521\pi\) | |||||||
\(938\) | −2.66770e6 | + | 1.93819e6i | −0.0989986 | + | 0.0719267i | ||||
\(939\) | 1.35206e7 | + | 9.82327e6i | 0.500416 | + | 0.363573i | ||||
\(940\) | 2.59752e6 | − | 3.64185e6i | 0.0958825 | − | 0.134432i | ||||
\(941\) | 1.03272e6 | − | 750317.i | 0.0380198 | − | 0.0276230i | −0.568613 | − | 0.822605i | \(-0.692520\pi\) |
0.606633 | + | 0.794982i | \(0.292520\pi\) | |||||||
\(942\) | −1.48698e7 | + | 4.57647e7i | −0.545983 | + | 1.68036i | ||||
\(943\) | 8.45864e6 | 0.309757 | ||||||||
\(944\) | 1.35533e6 | − | 4.17126e6i | 0.0495010 | − | 0.152348i | ||||
\(945\) | −3.77528e7 | − | 1.19020e7i | −1.37521 | − | 0.433551i | ||||
\(946\) | 6.03561e6 | + | 1.85757e7i | 0.219277 | + | 0.674865i | ||||
\(947\) | −5.25101e6 | − | 1.61609e7i | −0.190269 | − | 0.585587i | 0.809730 | − | 0.586802i | \(-0.199613\pi\) |
−0.999999 | + | 0.00121470i | \(0.999613\pi\) | |||||||
\(948\) | −1.77255e7 | − | 1.28783e7i | −0.640587 | − | 0.465413i | ||||
\(949\) | −7.04247e7 | −2.53840 | ||||||||
\(950\) | 1.07636e7 | − | 3.52147e7i | 0.386944 | − | 1.26595i | ||||
\(951\) | 1.80185e7 | 0.646053 | ||||||||
\(952\) | −2.82195e6 | − | 2.05027e6i | −0.100915 | − | 0.0733192i | ||||
\(953\) | 3.65468e6 | + | 1.12479e7i | 0.130352 | + | 0.401182i | 0.994838 | − | 0.101475i | \(-0.0323561\pi\) |
−0.864486 | + | 0.502656i | \(0.832356\pi\) | |||||||
\(954\) | 1.94378e7 | + | 5.98235e7i | 0.691476 | + | 2.12814i | ||||
\(955\) | −403793. | + | 566137.i | −0.0143268 | + | 0.0200869i | ||||
\(956\) | 4.53352e6 | − | 1.39527e7i | 0.160432 | − | 0.493758i | ||||
\(957\) | 3.02542e7 | 1.06784 | ||||||||
\(958\) | −5.24139e6 | + | 1.61313e7i | −0.184515 | + | 0.567880i | ||||
\(959\) | −1.45618e7 | + | 1.05798e7i | −0.511292 | + | 0.371475i | ||||
\(960\) | −58514.3 | − | 6.67893e6i | −0.00204920 | − | 0.233899i | ||||
\(961\) | 2.18066e7 | + | 1.58434e7i | 0.761692 | + | 0.553402i | ||||
\(962\) | −1.65879e7 | + | 1.20518e7i | −0.577902 | + | 0.419871i | ||||
\(963\) | 6.27794e7 | − | 4.56119e7i | 2.18148 | − | 1.58494i | ||||
\(964\) | 5.66935e6 | + | 4.11902e6i | 0.196490 | + | 0.142758i | ||||
\(965\) | 2.75216e7 | − | 9.20965e6i | 0.951384 | − | 0.318365i | ||||
\(966\) | −1.39412e7 | + | 1.01289e7i | −0.480681 | + | 0.349235i | ||||
\(967\) | −5.09539e6 | + | 1.56820e7i | −0.175231 | + | 0.539306i | −0.999644 | − | 0.0266831i | \(-0.991506\pi\) |
0.824413 | + | 0.565989i | \(0.191506\pi\) | |||||||
\(968\) | 461473. | 0.0158292 | ||||||||
\(969\) | 2.17546e7 | − | 6.69537e7i | 0.744288 | − | 2.29068i | ||||
\(970\) | −221731. | − | 2.53088e7i | −0.00756655 | − | 0.863661i | ||||
\(971\) | 2.32112e6 | + | 7.14369e6i | 0.0790042 | + | 0.243150i | 0.982756 | − | 0.184907i | \(-0.0591983\pi\) |
−0.903752 | + | 0.428057i | \(0.859198\pi\) | |||||||
\(972\) | −1.06873e7 | − | 3.28920e7i | −0.362828 | − | 1.11667i | ||||
\(973\) | 3.27534e6 | + | 2.37968e6i | 0.110911 | + | 0.0805816i | ||||
\(974\) | 8.49413e6 | 0.286894 | ||||||||
\(975\) | 8.07108e7 | − | 1.41433e6i | 2.71907 | − | 0.0476473i | ||||
\(976\) | −4.11478e6 | −0.138268 | ||||||||
\(977\) | −3.85430e7 | − | 2.80031e7i | −1.29184 | − | 0.938578i | −0.292001 | − | 0.956418i | \(-0.594321\pi\) |
−0.999841 | + | 0.0178404i | \(0.994321\pi\) | |||||||
\(978\) | −2.31968e7 | − | 7.13924e7i | −0.775499 | − | 2.38674i | ||||
\(979\) | −2.81206e6 | − | 8.65463e6i | −0.0937709 | − | 0.288597i | ||||
\(980\) | 6.58748e6 | + | 8.90183e6i | 0.219106 | + | 0.296083i | ||||
\(981\) | −2.71603e7 | + | 8.35908e7i | −0.901077 | + | 2.77323i | ||||
\(982\) | −3.14603e7 | −1.04108 | ||||||||
\(983\) | 1.82893e7 | − | 5.62887e7i | 0.603689 | − | 1.85796i | 0.0981269 | − | 0.995174i | \(-0.468715\pi\) |
0.505562 | − | 0.862790i | \(-0.331285\pi\) | |||||||
\(984\) | −5.75471e6 | + | 4.18104e6i | −0.189468 | + | 0.137657i | ||||
\(985\) | 1.38090e6 | + | 1.86605e6i | 0.0453495 | + | 0.0612820i | ||||
\(986\) | 7.01052e6 | + | 5.09344e6i | 0.229646 | + | 0.166847i | ||||
\(987\) | 7.85177e6 | − | 5.70464e6i | 0.256552 | − | 0.186396i | ||||
\(988\) | −3.37673e7 | + | 2.45333e7i | −1.10053 | + | 0.799585i | ||||
\(989\) | 2.23591e7 | + | 1.62448e7i | 0.726881 | + | 0.528110i | ||||
\(990\) | −5.08481e7 | − | 1.60304e7i | −1.64887 | − | 0.519825i | ||||
\(991\) | −3.22200e7 | + | 2.34092e7i | −1.04218 | + | 0.757185i | −0.970709 | − | 0.240258i | \(-0.922768\pi\) |
−0.0714664 | + | 0.997443i | \(0.522768\pi\) | |||||||
\(992\) | −409500. | + | 1.26031e6i | −0.0132122 | + | 0.0406629i | ||||
\(993\) | 7.10080e7 | 2.28525 | ||||||||
\(994\) | 2.14795e6 | − | 6.61070e6i | 0.0689537 | − | 0.212218i | ||||
\(995\) | 1.49983e7 | − | 5.01894e6i | 0.480269 | − | 0.160714i | ||||
\(996\) | 4.10354e6 | + | 1.26294e7i | 0.131072 | + | 0.403398i | ||||
\(997\) | 456220. | + | 1.40410e6i | 0.0145357 | + | 0.0447363i | 0.958061 | − | 0.286563i | \(-0.0925129\pi\) |
−0.943526 | + | 0.331300i | \(0.892513\pi\) | |||||||
\(998\) | 1.07794e7 | + | 7.83169e6i | 0.342585 | + | 0.248903i | ||||
\(999\) | 6.16133e7 | 1.95326 |
(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 | 50.6.d.b.41.1 | yes | 28 | |
25.11 | even | 5 | inner | 50.6.d.b.11.1 | ✓ | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
50.6.d.b.11.1 | ✓ | 28 | 25.11 | even | 5 | inner | |
50.6.d.b.41.1 | yes | 28 | 1.1 | even | 1 | trivial |