Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,5,Mod(2,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.2");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.h (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.13252745279\) |
Analytic rank: | \(0\) |
Dimension: | \(300\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 2.18 | ||
Character | \(\chi\) | \(=\) | 69.2 |
Dual form | 69.5.h.a.35.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.842718 | − | 1.31130i | 0.210680 | − | 0.327824i | −0.719791 | − | 0.694191i | \(-0.755762\pi\) |
0.930470 | + | 0.366367i | \(0.119399\pi\) | |||||||
\(3\) | −8.61694 | − | 2.59776i | −0.957438 | − | 0.288640i | ||||
\(4\) | 5.63732 | + | 12.3440i | 0.352332 | + | 0.771500i | ||||
\(5\) | 5.53880 | − | 18.8634i | 0.221552 | − | 0.754537i | −0.771434 | − | 0.636309i | \(-0.780460\pi\) |
0.992986 | − | 0.118228i | \(-0.0377214\pi\) | |||||||
\(6\) | −10.6681 | + | 9.11018i | −0.296336 | + | 0.253060i | ||||
\(7\) | −41.7057 | + | 48.1309i | −0.851136 | + | 0.982264i | −0.999978 | − | 0.00659724i | \(-0.997900\pi\) |
0.148842 | + | 0.988861i | \(0.452445\pi\) | |||||||
\(8\) | 45.6233 | + | 6.55964i | 0.712864 | + | 0.102494i | ||||
\(9\) | 67.5033 | + | 44.7694i | 0.833374 | + | 0.552709i | ||||
\(10\) | −20.0679 | − | 23.1596i | −0.200679 | − | 0.231596i | ||||
\(11\) | 9.66976 | + | 15.0464i | 0.0799154 | + | 0.124351i | 0.878910 | − | 0.476987i | \(-0.158271\pi\) |
−0.798995 | + | 0.601338i | \(0.794635\pi\) | |||||||
\(12\) | −16.5097 | − | 121.012i | −0.114651 | − | 0.840361i | ||||
\(13\) | 195.223 | + | 225.299i | 1.15517 | + | 1.33313i | 0.933738 | + | 0.357956i | \(0.116526\pi\) |
0.221428 | + | 0.975177i | \(0.428928\pi\) | |||||||
\(14\) | 27.9677 | + | 95.2493i | 0.142692 | + | 0.485966i | ||||
\(15\) | −96.7301 | + | 148.157i | −0.429912 | + | 0.658473i | ||||
\(16\) | −95.1376 | + | 109.795i | −0.371631 | + | 0.428885i | ||||
\(17\) | 299.178 | + | 136.630i | 1.03522 | + | 0.472768i | 0.859211 | − | 0.511621i | \(-0.170955\pi\) |
0.176006 | + | 0.984389i | \(0.443682\pi\) | |||||||
\(18\) | 115.592 | − | 50.7888i | 0.356766 | − | 0.156755i | ||||
\(19\) | 14.3826 | + | 31.4934i | 0.0398409 | + | 0.0872393i | 0.928506 | − | 0.371317i | \(-0.121094\pi\) |
−0.888665 | + | 0.458557i | \(0.848367\pi\) | |||||||
\(20\) | 264.074 | − | 37.9681i | 0.660185 | − | 0.0949203i | ||||
\(21\) | 484.408 | − | 306.400i | 1.09843 | − | 0.694785i | ||||
\(22\) | 27.8792 | 0.0576017 | ||||||||
\(23\) | −528.813 | − | 14.0712i | −0.999646 | − | 0.0265995i | ||||
\(24\) | −376.093 | − | 175.042i | −0.652939 | − | 0.303893i | ||||
\(25\) | 200.633 | + | 128.939i | 0.321013 | + | 0.206302i | ||||
\(26\) | 459.952 | − | 66.1311i | 0.680403 | − | 0.0978271i | ||||
\(27\) | −465.372 | − | 561.133i | −0.638370 | − | 0.769729i | ||||
\(28\) | −829.237 | − | 243.486i | −1.05770 | − | 0.310569i | ||||
\(29\) | −1073.86 | − | 490.415i | −1.27688 | − | 0.583133i | −0.342539 | − | 0.939504i | \(-0.611287\pi\) |
−0.934345 | + | 0.356371i | \(0.884014\pi\) | |||||||
\(30\) | 112.761 | + | 251.696i | 0.125290 | + | 0.279662i | ||||
\(31\) | −47.7329 | + | 331.990i | −0.0496700 | + | 0.345463i | 0.949798 | + | 0.312862i | \(0.101288\pi\) |
−0.999468 | + | 0.0326002i | \(0.989621\pi\) | |||||||
\(32\) | 271.571 | + | 924.886i | 0.265206 | + | 0.903209i | ||||
\(33\) | −44.2367 | − | 154.774i | −0.0406214 | − | 0.142125i | ||||
\(34\) | 431.285 | − | 277.170i | 0.373084 | − | 0.239766i | ||||
\(35\) | 676.915 | + | 1053.30i | 0.552583 | + | 0.859836i | ||||
\(36\) | −172.096 | + | 1085.64i | −0.132790 | + | 0.837686i | ||||
\(37\) | 327.672 | − | 96.2131i | 0.239351 | − | 0.0702798i | −0.159857 | − | 0.987140i | \(-0.551103\pi\) |
0.399208 | + | 0.916860i | \(0.369285\pi\) | |||||||
\(38\) | 53.4176 | + | 7.68029i | 0.0369928 | + | 0.00531876i | ||||
\(39\) | −1096.95 | − | 2448.53i | −0.721205 | − | 1.60982i | ||||
\(40\) | 376.436 | − | 824.279i | 0.235272 | − | 0.515174i | ||||
\(41\) | −692.657 | + | 2358.97i | −0.412050 | + | 1.40331i | 0.448424 | + | 0.893821i | \(0.351985\pi\) |
−0.860474 | + | 0.509494i | \(0.829833\pi\) | |||||||
\(42\) | 6.43839 | − | 893.411i | 0.00364988 | − | 0.506469i | ||||
\(43\) | −383.975 | − | 2670.60i | −0.207666 | − | 1.44435i | −0.780745 | − | 0.624849i | \(-0.785160\pi\) |
0.573079 | − | 0.819500i | \(-0.305749\pi\) | |||||||
\(44\) | −131.222 | + | 204.185i | −0.0677799 | + | 0.105468i | ||||
\(45\) | 1218.39 | − | 1025.37i | 0.601675 | − | 0.506358i | ||||
\(46\) | −464.092 | + | 681.572i | −0.219325 | + | 0.322104i | ||||
\(47\) | − | 1017.33i | − | 0.460537i | −0.973127 | − | 0.230268i | \(-0.926040\pi\) | ||
0.973127 | − | 0.230268i | \(-0.0739604\pi\) | |||||||
\(48\) | 1105.01 | − | 698.950i | 0.479607 | − | 0.303364i | ||||
\(49\) | −235.524 | − | 1638.11i | −0.0980941 | − | 0.682259i | ||||
\(50\) | 338.154 | − | 154.430i | 0.135262 | − | 0.0617720i | ||||
\(51\) | −2223.07 | − | 1954.52i | −0.854697 | − | 0.751451i | ||||
\(52\) | −1680.56 | + | 3679.92i | −0.621510 | + | 1.36092i | ||||
\(53\) | 2113.94 | + | 1831.74i | 0.752560 | + | 0.652097i | 0.944202 | − | 0.329368i | \(-0.106836\pi\) |
−0.191642 | + | 0.981465i | \(0.561381\pi\) | |||||||
\(54\) | −1127.99 | + | 137.363i | −0.386827 | + | 0.0471067i | ||||
\(55\) | 337.386 | − | 99.0655i | 0.111533 | − | 0.0327489i | ||||
\(56\) | −2218.47 | + | 1922.32i | −0.707421 | + | 0.612984i | ||||
\(57\) | −42.1214 | − | 308.739i | −0.0129644 | − | 0.0950259i | ||||
\(58\) | −1548.04 | + | 994.864i | −0.460178 | + | 0.295739i | ||||
\(59\) | 783.626 | − | 679.016i | 0.225115 | − | 0.195063i | −0.535000 | − | 0.844852i | \(-0.679688\pi\) |
0.760115 | + | 0.649789i | \(0.225143\pi\) | |||||||
\(60\) | −2374.14 | − | 358.831i | −0.659484 | − | 0.0996754i | ||||
\(61\) | 683.179 | − | 4751.62i | 0.183601 | − | 1.27697i | −0.664560 | − | 0.747235i | \(-0.731381\pi\) |
0.848161 | − | 0.529738i | \(-0.177710\pi\) | |||||||
\(62\) | 395.111 | + | 342.366i | 0.102786 | + | 0.0890650i | ||||
\(63\) | −4970.07 | + | 1381.86i | −1.25222 | + | 0.348163i | ||||
\(64\) | −788.653 | − | 231.569i | −0.192542 | − | 0.0565355i | ||||
\(65\) | 5331.22 | − | 2434.69i | 1.26183 | − | 0.576257i | ||||
\(66\) | −240.233 | − | 72.4234i | −0.0551500 | − | 0.0166261i | ||||
\(67\) | 5458.80 | + | 3508.16i | 1.21604 | + | 0.781501i | 0.981659 | − | 0.190644i | \(-0.0610577\pi\) |
0.234380 | + | 0.972145i | \(0.424694\pi\) | |||||||
\(68\) | 4463.28i | 0.965242i | ||||||||
\(69\) | 4520.20 | + | 1494.98i | 0.949421 | + | 0.314005i | ||||
\(70\) | 1951.64 | 0.398293 | ||||||||
\(71\) | 3402.91 | − | 5295.04i | 0.675047 | − | 1.05039i | −0.319649 | − | 0.947536i | \(-0.603565\pi\) |
0.994696 | − | 0.102858i | \(-0.0327987\pi\) | |||||||
\(72\) | 2786.05 | + | 2485.33i | 0.537433 | + | 0.479423i | ||||
\(73\) | 2136.05 | + | 4677.29i | 0.400834 | + | 0.877704i | 0.997185 | + | 0.0749804i | \(0.0238894\pi\) |
−0.596351 | + | 0.802724i | \(0.703383\pi\) | |||||||
\(74\) | 149.971 | − | 510.755i | 0.0273870 | − | 0.0932715i | ||||
\(75\) | −1393.89 | − | 1632.26i | −0.247803 | − | 0.290179i | ||||
\(76\) | −307.676 | + | 355.077i | −0.0532679 | + | 0.0614745i | ||||
\(77\) | −1127.48 | − | 162.108i | −0.190164 | − | 0.0273415i | ||||
\(78\) | −4135.17 | − | 624.996i | −0.679680 | − | 0.102728i | ||||
\(79\) | 1558.22 | + | 1798.28i | 0.249675 | + | 0.288140i | 0.866728 | − | 0.498782i | \(-0.166219\pi\) |
−0.617053 | + | 0.786922i | \(0.711674\pi\) | |||||||
\(80\) | 1544.15 | + | 2402.75i | 0.241274 | + | 0.375430i | ||||
\(81\) | 2552.40 | + | 6044.17i | 0.389025 | + | 0.921227i | ||||
\(82\) | 2509.59 | + | 2896.23i | 0.373229 | + | 0.430730i | ||||
\(83\) | 1069.36 | + | 3641.90i | 0.155227 | + | 0.528654i | 0.999979 | − | 0.00650379i | \(-0.00207023\pi\) |
−0.844752 | + | 0.535158i | \(0.820252\pi\) | |||||||
\(84\) | 6512.97 | + | 4252.26i | 0.923039 | + | 0.602644i | ||||
\(85\) | 4234.39 | − | 4886.75i | 0.586075 | − | 0.676367i | ||||
\(86\) | −3825.53 | − | 1747.06i | −0.517243 | − | 0.236217i | ||||
\(87\) | 7979.40 | + | 7015.50i | 1.05422 | + | 0.926873i | ||||
\(88\) | 342.467 | + | 749.898i | 0.0442235 | + | 0.0968360i | ||||
\(89\) | −13594.2 | + | 1954.55i | −1.71622 | + | 0.246756i | −0.929045 | − | 0.369967i | \(-0.879369\pi\) |
−0.787180 | + | 0.616723i | \(0.788460\pi\) | |||||||
\(90\) | −317.808 | − | 2461.77i | −0.0392355 | − | 0.303923i | ||||
\(91\) | −18985.8 | −2.29269 | ||||||||
\(92\) | −2807.39 | − | 6606.99i | −0.331686 | − | 0.780599i | ||||
\(93\) | 1273.74 | − | 2736.74i | 0.147270 | − | 0.316422i | ||||
\(94\) | −1334.02 | − | 857.319i | −0.150975 | − | 0.0970257i | ||||
\(95\) | 673.735 | − | 96.8685i | 0.0746521 | − | 0.0107334i | ||||
\(96\) | 62.5178 | − | 8675.16i | 0.00678361 | − | 0.941315i | ||||
\(97\) | 2075.37 | + | 609.384i | 0.220573 | + | 0.0647661i | 0.390152 | − | 0.920751i | \(-0.372423\pi\) |
−0.169579 | + | 0.985517i | \(0.554241\pi\) | |||||||
\(98\) | −2346.52 | − | 1071.62i | −0.244327 | − | 0.111581i | ||||
\(99\) | −20.8798 | + | 1448.59i | −0.00213037 | + | 0.147801i | ||||
\(100\) | −460.592 | + | 3203.49i | −0.0460592 | + | 0.320349i | ||||
\(101\) | −2285.47 | − | 7783.60i | −0.224044 | − | 0.763023i | −0.992406 | − | 0.123008i | \(-0.960746\pi\) |
0.768362 | − | 0.640016i | \(-0.221072\pi\) | |||||||
\(102\) | −4436.38 | + | 1267.98i | −0.426411 | + | 0.121875i | ||||
\(103\) | −9234.09 | + | 5934.39i | −0.870401 | + | 0.559373i | −0.897875 | − | 0.440249i | \(-0.854890\pi\) |
0.0274741 | + | 0.999623i | \(0.491254\pi\) | |||||||
\(104\) | 7428.84 | + | 11559.5i | 0.686838 | + | 1.06874i | ||||
\(105\) | −3096.72 | − | 10834.7i | −0.280881 | − | 0.982737i | ||||
\(106\) | 4183.41 | − | 1228.36i | 0.372322 | − | 0.109324i | ||||
\(107\) | 3103.81 | + | 446.260i | 0.271099 | + | 0.0389781i | 0.276523 | − | 0.961007i | \(-0.410818\pi\) |
−0.00542477 | + | 0.999985i | \(0.501727\pi\) | |||||||
\(108\) | 4303.18 | − | 8907.84i | 0.368928 | − | 0.763704i | ||||
\(109\) | 4923.66 | − | 10781.3i | 0.414414 | − | 0.907441i | −0.581189 | − | 0.813769i | \(-0.697412\pi\) |
0.995603 | − | 0.0936723i | \(-0.0298606\pi\) | |||||||
\(110\) | 154.417 | − | 525.897i | 0.0127618 | − | 0.0434626i | ||||
\(111\) | −3073.47 | − | 22.1490i | −0.249449 | − | 0.00179766i | ||||
\(112\) | −1316.74 | − | 9158.12i | −0.104970 | − | 0.730080i | ||||
\(113\) | 9032.83 | − | 14055.4i | 0.707403 | − | 1.10074i | −0.282537 | − | 0.959256i | \(-0.591176\pi\) |
0.989940 | − | 0.141485i | \(-0.0451876\pi\) | |||||||
\(114\) | −440.345 | − | 204.947i | −0.0338831 | − | 0.0157700i | ||||
\(115\) | −3194.42 | + | 9897.28i | −0.241544 | + | 0.748377i | ||||
\(116\) | − | 16020.3i | − | 1.19057i | ||||||
\(117\) | 3091.68 | + | 23948.5i | 0.225851 | + | 1.74947i | ||||
\(118\) | −230.014 | − | 1599.78i | −0.0165193 | − | 0.114894i | ||||
\(119\) | −19053.5 | + | 8701.46i | −1.34549 | + | 0.614467i | ||||
\(120\) | −5385.00 | + | 6124.87i | −0.373958 | + | 0.425338i | ||||
\(121\) | 5949.20 | − | 13026.9i | 0.406338 | − | 0.889757i | ||||
\(122\) | −5655.04 | − | 4900.12i | −0.379941 | − | 0.329221i | ||||
\(123\) | 12096.6 | − | 18527.8i | 0.799565 | − | 1.22465i | ||||
\(124\) | −4367.17 | + | 1282.32i | −0.284025 | + | 0.0833973i | ||||
\(125\) | 12829.7 | − | 11117.0i | 0.821099 | − | 0.711486i | ||||
\(126\) | −2376.34 | + | 7681.74i | −0.149681 | + | 0.483859i | ||||
\(127\) | 6665.12 | − | 4283.41i | 0.413238 | − | 0.265572i | −0.317461 | − | 0.948271i | \(-0.602830\pi\) |
0.730700 | + | 0.682699i | \(0.239194\pi\) | |||||||
\(128\) | −12624.1 | + | 10938.9i | −0.770515 | + | 0.667655i | ||||
\(129\) | −3628.89 | + | 24009.9i | −0.218069 | + | 1.44282i | ||||
\(130\) | 1300.12 | − | 9042.56i | 0.0769304 | − | 0.535063i | ||||
\(131\) | −2353.74 | − | 2039.53i | −0.137156 | − | 0.118847i | 0.583581 | − | 0.812055i | \(-0.301651\pi\) |
−0.720737 | + | 0.693208i | \(0.756197\pi\) | |||||||
\(132\) | 1661.15 | − | 1418.57i | 0.0953371 | − | 0.0814146i | ||||
\(133\) | −2115.64 | − | 621.208i | −0.119602 | − | 0.0351183i | ||||
\(134\) | 9200.46 | − | 4201.71i | 0.512389 | − | 0.234000i | ||||
\(135\) | −13162.5 | + | 5670.50i | −0.722221 | + | 0.311139i | ||||
\(136\) | 12753.2 | + | 8196.01i | 0.689513 | + | 0.443123i | ||||
\(137\) | − | 14584.3i | − | 0.777043i | −0.921440 | − | 0.388521i | \(-0.872986\pi\) | ||
0.921440 | − | 0.388521i | \(-0.127014\pi\) | |||||||
\(138\) | 5769.61 | − | 4667.47i | 0.302962 | − | 0.245089i | ||||
\(139\) | −5036.52 | −0.260676 | −0.130338 | − | 0.991470i | \(-0.541606\pi\) | ||||
−0.130338 | + | 0.991470i | \(0.541606\pi\) | |||||||
\(140\) | −9185.95 | + | 14293.6i | −0.468671 | + | 0.729266i | ||||
\(141\) | −2642.77 | + | 8766.24i | −0.132929 | + | 0.440935i | ||||
\(142\) | −4075.66 | − | 8924.45i | −0.202126 | − | 0.442593i | ||||
\(143\) | −1502.19 | + | 5116.00i | −0.0734605 | + | 0.250184i | ||||
\(144\) | −11337.5 | + | 3152.25i | −0.546757 | + | 0.152018i | ||||
\(145\) | −15198.8 | + | 17540.3i | −0.722891 | + | 0.834261i | ||||
\(146\) | 7933.39 | + | 1140.65i | 0.372180 | + | 0.0535114i | ||||
\(147\) | −2225.90 | + | 14727.3i | −0.103008 | + | 0.681535i | ||||
\(148\) | 3034.84 | + | 3502.40i | 0.138552 | + | 0.159898i | ||||
\(149\) | −6803.94 | − | 10587.1i | −0.306470 | − | 0.476876i | 0.653521 | − | 0.756909i | \(-0.273291\pi\) |
−0.959991 | + | 0.280032i | \(0.909655\pi\) | |||||||
\(150\) | −3315.03 | + | 452.270i | −0.147335 | + | 0.0201009i | ||||
\(151\) | −19960.2 | − | 23035.3i | −0.875410 | − | 1.01028i | −0.999837 | − | 0.0180485i | \(-0.994255\pi\) |
0.124427 | − | 0.992229i | \(-0.460291\pi\) | |||||||
\(152\) | 449.594 | + | 1531.18i | 0.0194596 | + | 0.0662732i | ||||
\(153\) | 14078.7 | + | 22617.0i | 0.601420 | + | 0.966167i | ||||
\(154\) | −1162.72 | + | 1341.85i | −0.0490269 | + | 0.0565800i | ||||
\(155\) | 5998.08 | + | 2739.23i | 0.249660 | + | 0.114016i | ||||
\(156\) | 24040.9 | − | 27344.0i | 0.987872 | − | 1.12360i | ||||
\(157\) | 8024.58 | + | 17571.4i | 0.325554 | + | 0.712864i | 0.999668 | − | 0.0257633i | \(-0.00820162\pi\) |
−0.674114 | + | 0.738627i | \(0.735474\pi\) | |||||||
\(158\) | 3671.22 | − | 527.842i | 0.147061 | − | 0.0211441i | ||||
\(159\) | −13457.3 | − | 21275.5i | −0.532308 | − | 0.841561i | ||||
\(160\) | 18950.7 | 0.740261 | ||||||||
\(161\) | 22731.8 | − | 24865.4i | 0.876963 | − | 0.959276i | ||||
\(162\) | 10076.6 | + | 1746.59i | 0.383960 | + | 0.0665519i | ||||
\(163\) | 25038.2 | + | 16091.1i | 0.942383 | + | 0.605633i | 0.919069 | − | 0.394096i | \(-0.128942\pi\) |
0.0233132 | + | 0.999728i | \(0.492579\pi\) | |||||||
\(164\) | −33023.9 | + | 4748.12i | −1.22784 | + | 0.176536i | ||||
\(165\) | −3164.58 | − | 22.8057i | −0.116238 | − | 0.000837674i | ||||
\(166\) | 5676.77 | + | 1666.85i | 0.206009 | + | 0.0604896i | ||||
\(167\) | 4160.58 | + | 1900.07i | 0.149183 | + | 0.0681298i | 0.488608 | − | 0.872504i | \(-0.337505\pi\) |
−0.339424 | + | 0.940633i | \(0.610232\pi\) | |||||||
\(168\) | 24110.2 | − | 10801.4i | 0.854243 | − | 0.382704i | ||||
\(169\) | −8583.14 | + | 59697.0i | −0.300519 | + | 2.09016i | ||||
\(170\) | −2839.57 | − | 9670.70i | −0.0982551 | − | 0.334626i | ||||
\(171\) | −439.072 | + | 2769.81i | −0.0150156 | + | 0.0947234i | ||||
\(172\) | 30801.3 | − | 19794.8i | 1.04115 | − | 0.669106i | ||||
\(173\) | 9220.50 | + | 14347.4i | 0.308079 | + | 0.479381i | 0.960424 | − | 0.278542i | \(-0.0898510\pi\) |
−0.652345 | + | 0.757922i | \(0.726215\pi\) | |||||||
\(174\) | 15923.8 | − | 4551.26i | 0.525954 | − | 0.150326i | ||||
\(175\) | −14573.5 | + | 4279.16i | −0.475869 | + | 0.139728i | ||||
\(176\) | −2571.98 | − | 369.794i | −0.0830313 | − | 0.0119381i | ||||
\(177\) | −8516.37 | + | 3815.37i | −0.271837 | + | 0.121784i | ||||
\(178\) | −8893.10 | + | 19473.2i | −0.280681 | + | 0.614606i | ||||
\(179\) | −7932.33 | + | 27015.0i | −0.247568 | + | 0.843139i | 0.738136 | + | 0.674652i | \(0.235706\pi\) |
−0.985704 | + | 0.168487i | \(0.946112\pi\) | |||||||
\(180\) | 19525.7 | + | 9259.48i | 0.602645 | + | 0.285786i | ||||
\(181\) | −4157.48 | − | 28915.9i | −0.126903 | − | 0.882633i | −0.949446 | − | 0.313930i | \(-0.898354\pi\) |
0.822543 | − | 0.568703i | \(-0.192555\pi\) | |||||||
\(182\) | −15999.7 | + | 24896.0i | −0.483023 | + | 0.751599i | ||||
\(183\) | −18230.5 | + | 39169.7i | −0.544372 | + | 1.16963i | ||||
\(184\) | −24033.9 | − | 4110.79i | −0.709885 | − | 0.121420i | ||||
\(185\) | − | 6713.91i | − | 0.196170i | ||||||
\(186\) | −2515.27 | − | 3976.55i | −0.0727039 | − | 0.114942i | ||||
\(187\) | 837.183 | + | 5822.74i | 0.0239407 | + | 0.166511i | ||||
\(188\) | 12557.9 | − | 5734.99i | 0.355304 | − | 0.162262i | ||||
\(189\) | 46416.5 | + | 1003.64i | 1.29942 | + | 0.0280968i | ||||
\(190\) | 440.746 | − | 965.099i | 0.0122090 | − | 0.0267340i | ||||
\(191\) | 6940.53 | + | 6014.00i | 0.190250 | + | 0.164853i | 0.744778 | − | 0.667313i | \(-0.232555\pi\) |
−0.554527 | + | 0.832166i | \(0.687101\pi\) | |||||||
\(192\) | 6194.22 | + | 4044.15i | 0.168029 | + | 0.109705i | ||||
\(193\) | 7182.12 | − | 2108.86i | 0.192814 | − | 0.0566152i | −0.183900 | − | 0.982945i | \(-0.558872\pi\) |
0.376714 | + | 0.926330i | \(0.377054\pi\) | |||||||
\(194\) | 2548.04 | − | 2207.89i | 0.0677021 | − | 0.0586642i | ||||
\(195\) | −52263.5 | + | 7130.34i | −1.37445 | + | 0.187517i | ||||
\(196\) | 18893.1 | − | 12141.8i | 0.491802 | − | 0.316062i | ||||
\(197\) | 21483.8 | − | 18615.8i | 0.553578 | − | 0.479678i | −0.332571 | − | 0.943078i | \(-0.607916\pi\) |
0.886149 | + | 0.463400i | \(0.153371\pi\) | |||||||
\(198\) | 1881.94 | + | 1248.14i | 0.0480037 | + | 0.0318370i | ||||
\(199\) | 3387.31 | − | 23559.2i | 0.0855359 | − | 0.594915i | −0.901301 | − | 0.433194i | \(-0.857386\pi\) |
0.986837 | − | 0.161721i | \(-0.0517045\pi\) | |||||||
\(200\) | 8307.75 | + | 7198.70i | 0.207694 | + | 0.179968i | ||||
\(201\) | −37924.8 | − | 44410.2i | −0.938710 | − | 1.09924i | ||||
\(202\) | −12132.6 | − | 3562.45i | −0.297339 | − | 0.0873065i | ||||
\(203\) | 68390.1 | − | 31232.7i | 1.65959 | − | 0.757910i | ||||
\(204\) | 11594.5 | − | 38459.8i | 0.278607 | − | 0.924159i | ||||
\(205\) | 40661.8 | + | 26131.8i | 0.967562 | + | 0.621814i | ||||
\(206\) | 17109.6i | 0.403187i | ||||||||
\(207\) | −35066.7 | − | 24624.5i | −0.818378 | − | 0.574681i | ||||
\(208\) | −43309.7 | −1.00106 | ||||||||
\(209\) | −334.788 | + | 520.940i | −0.00766438 | + | 0.0119260i | ||||
\(210\) | −16817.1 | − | 5069.87i | −0.381341 | − | 0.114963i | ||||
\(211\) | −27298.1 | − | 59774.4i | −0.613150 | − | 1.34261i | −0.920398 | − | 0.390982i | \(-0.872135\pi\) |
0.307248 | − | 0.951629i | \(-0.400592\pi\) | |||||||
\(212\) | −10694.1 | + | 36420.6i | −0.237942 | + | 0.810355i | ||||
\(213\) | −43077.9 | + | 36787.1i | −0.949501 | + | 0.810841i | ||||
\(214\) | 3200.82 | − | 3693.94i | 0.0698929 | − | 0.0806607i | ||||
\(215\) | −52503.5 | − | 7548.86i | −1.13582 | − | 0.163307i | ||||
\(216\) | −17551.0 | − | 28653.4i | −0.376178 | − | 0.614142i | ||||
\(217\) | −13988.2 | − | 16143.3i | −0.297060 | − | 0.342825i | ||||
\(218\) | −9988.22 | − | 15542.0i | −0.210172 | − | 0.327034i | ||||
\(219\) | −6255.72 | − | 45852.8i | −0.130433 | − | 0.956044i | ||||
\(220\) | 3124.82 | + | 3606.23i | 0.0645624 | + | 0.0745089i | ||||
\(221\) | 27623.8 | + | 94077.9i | 0.565586 | + | 1.92621i | ||||
\(222\) | −2619.11 | + | 4011.56i | −0.0531432 | + | 0.0813967i | ||||
\(223\) | −9551.62 | + | 11023.2i | −0.192073 | + | 0.221664i | −0.843615 | − | 0.536948i | \(-0.819577\pi\) |
0.651542 | + | 0.758613i | \(0.274122\pi\) | |||||||
\(224\) | −55841.6 | − | 25502.0i | −1.11292 | − | 0.508251i | ||||
\(225\) | 7770.87 | + | 17686.0i | 0.153499 | + | 0.349354i | ||||
\(226\) | −10818.6 | − | 23689.4i | −0.211814 | − | 0.463807i | ||||
\(227\) | 85813.3 | − | 12338.1i | 1.66534 | − | 0.239440i | 0.755724 | − | 0.654890i | \(-0.227285\pi\) |
0.909616 | + | 0.415451i | \(0.136376\pi\) | |||||||
\(228\) | 3573.63 | − | 2260.41i | 0.0687447 | − | 0.0434828i | ||||
\(229\) | 84628.8 | 1.61379 | 0.806896 | − | 0.590694i | \(-0.201146\pi\) | ||||
0.806896 | + | 0.590694i | \(0.201146\pi\) | |||||||
\(230\) | 10286.3 | + | 12529.4i | 0.194447 | + | 0.236852i | ||||
\(231\) | 9294.34 | + | 4325.80i | 0.174178 | + | 0.0810667i | ||||
\(232\) | −45776.0 | − | 29418.5i | −0.850476 | − | 0.546568i | ||||
\(233\) | −95717.2 | + | 13762.1i | −1.76310 | + | 0.253496i | −0.946270 | − | 0.323376i | \(-0.895182\pi\) |
−0.816834 | + | 0.576872i | \(0.804273\pi\) | |||||||
\(234\) | 34009.0 | + | 16127.7i | 0.621100 | + | 0.294538i | ||||
\(235\) | −19190.3 | − | 5634.77i | −0.347492 | − | 0.102033i | ||||
\(236\) | 12799.3 | + | 5845.25i | 0.229807 | + | 0.104949i | ||||
\(237\) | −8755.59 | − | 19543.6i | −0.155879 | − | 0.347942i | ||||
\(238\) | −4646.58 | + | 32317.7i | −0.0820314 | + | 0.570541i | ||||
\(239\) | 24912.8 | + | 84845.2i | 0.436141 | + | 1.48536i | 0.825569 | + | 0.564302i | \(0.190854\pi\) |
−0.389428 | + | 0.921057i | \(0.627327\pi\) | |||||||
\(240\) | −7064.12 | − | 24715.7i | −0.122641 | − | 0.429092i | ||||
\(241\) | −17873.6 | + | 11486.7i | −0.307736 | + | 0.197770i | −0.685389 | − | 0.728177i | \(-0.740368\pi\) |
0.377653 | + | 0.925947i | \(0.376731\pi\) | |||||||
\(242\) | −12068.7 | − | 18779.2i | −0.206076 | − | 0.320661i | ||||
\(243\) | −6292.55 | − | 58712.8i | −0.106565 | − | 0.994306i | ||||
\(244\) | 62505.3 | − | 18353.2i | 1.04987 | − | 0.308271i | ||||
\(245\) | −32204.8 | − | 4630.35i | −0.536523 | − | 0.0771403i | ||||
\(246\) | −14101.3 | − | 31475.9i | −0.233018 | − | 0.520126i | ||||
\(247\) | −4287.64 | + | 9388.62i | −0.0702788 | + | 0.153889i | ||||
\(248\) | −4355.46 | + | 14833.4i | −0.0708160 | + | 0.241177i | ||||
\(249\) | 246.175 | − | 34160.0i | 0.00397050 | − | 0.550958i | ||||
\(250\) | −3765.84 | − | 26192.0i | −0.0602534 | − | 0.419071i | ||||
\(251\) | −44110.8 | + | 68637.8i | −0.700161 | + | 1.08947i | 0.290989 | + | 0.956726i | \(0.406016\pi\) |
−0.991150 | + | 0.132746i | \(0.957621\pi\) | |||||||
\(252\) | −45075.5 | − | 53560.6i | −0.709806 | − | 0.843420i | ||||
\(253\) | −4901.77 | − | 8092.81i | −0.0765794 | − | 0.126432i | ||||
\(254\) | − | 12349.7i | − | 0.191420i | ||||||
\(255\) | −49182.1 | + | 31108.9i | −0.756357 | + | 0.478415i | ||||
\(256\) | 1833.90 | + | 12755.0i | 0.0279830 | + | 0.194626i | ||||
\(257\) | 35171.5 | − | 16062.3i | 0.532507 | − | 0.243188i | −0.130968 | − | 0.991387i | \(-0.541808\pi\) |
0.663474 | + | 0.748199i | \(0.269081\pi\) | |||||||
\(258\) | 28425.9 | + | 24992.1i | 0.427047 | + | 0.375460i | ||||
\(259\) | −9034.95 | + | 19783.8i | −0.134687 | + | 0.294924i | ||||
\(260\) | 60107.6 | + | 52083.5i | 0.889165 | + | 0.770466i | ||||
\(261\) | −50533.4 | − | 81180.7i | −0.741819 | − | 1.19171i | ||||
\(262\) | −4657.96 | + | 1367.70i | −0.0678568 | + | 0.0199246i | ||||
\(263\) | 90849.7 | − | 78721.7i | 1.31344 | − | 1.13811i | 0.332653 | − | 0.943049i | \(-0.392056\pi\) |
0.980792 | − | 0.195057i | \(-0.0624893\pi\) | |||||||
\(264\) | −1002.96 | − | 7351.47i | −0.0143906 | − | 0.105479i | ||||
\(265\) | 46261.6 | − | 29730.5i | 0.658762 | − | 0.423361i | ||||
\(266\) | −2597.48 | + | 2250.73i | −0.0367103 | + | 0.0318097i | ||||
\(267\) | 122218. | + | 18472.2i | 1.71440 | + | 0.259117i | ||||
\(268\) | −12531.7 | + | 87160.1i | −0.174478 | + | 1.21352i | ||||
\(269\) | −18277.2 | − | 15837.3i | −0.252584 | − | 0.218865i | 0.519361 | − | 0.854555i | \(-0.326170\pi\) |
−0.771944 | + | 0.635690i | \(0.780716\pi\) | |||||||
\(270\) | −3656.56 | + | 22038.5i | −0.0501586 | + | 0.302312i | ||||
\(271\) | −4114.66 | − | 1208.17i | −0.0560268 | − | 0.0164509i | 0.253599 | − | 0.967309i | \(-0.418386\pi\) |
−0.309626 | + | 0.950858i | \(0.600204\pi\) | |||||||
\(272\) | −43464.3 | + | 19849.5i | −0.587482 | + | 0.268294i | ||||
\(273\) | 163599. | + | 49320.5i | 2.19511 | + | 0.661762i | ||||
\(274\) | −19124.3 | − | 12290.5i | −0.254733 | − | 0.163707i | ||||
\(275\) | 4265.62i | 0.0564049i | ||||||||
\(276\) | 7027.77 | + | 64225.0i | 0.0922570 | + | 0.843113i | ||||
\(277\) | −91754.1 | −1.19582 | −0.597910 | − | 0.801563i | \(-0.704002\pi\) | ||||
−0.597910 | + | 0.801563i | \(0.704002\pi\) | |||||||
\(278\) | −4244.36 | + | 6604.36i | −0.0549191 | + | 0.0854557i | ||||
\(279\) | −18085.1 | + | 20273.4i | −0.232334 | + | 0.260447i | ||||
\(280\) | 23973.8 | + | 52495.3i | 0.305788 | + | 0.669583i | ||||
\(281\) | 25881.4 | − | 88143.8i | 0.327774 | − | 1.11630i | −0.616560 | − | 0.787308i | \(-0.711474\pi\) |
0.944334 | − | 0.328988i | \(-0.106708\pi\) | |||||||
\(282\) | 9268.02 | + | 10852.9i | 0.116544 | + | 0.136473i | ||||
\(283\) | −26296.5 | + | 30347.7i | −0.328340 | + | 0.378925i | −0.895786 | − | 0.444486i | \(-0.853386\pi\) |
0.567445 | + | 0.823411i | \(0.307932\pi\) | |||||||
\(284\) | 84545.3 | + | 12155.8i | 1.04822 | + | 0.150711i | ||||
\(285\) | −6057.18 | − | 915.491i | −0.0745728 | − | 0.0112710i | ||||
\(286\) | 5442.66 | + | 6281.17i | 0.0665395 | + | 0.0767907i | ||||
\(287\) | −84651.8 | − | 131721.i | −1.02771 | − | 1.59915i | ||||
\(288\) | −23074.7 | + | 74590.9i | −0.278196 | + | 0.899293i | ||||
\(289\) | 16145.0 | + | 18632.3i | 0.193305 | + | 0.223086i | ||||
\(290\) | 10192.3 | + | 34711.7i | 0.121192 | + | 0.412743i | ||||
\(291\) | −16300.3 | − | 10642.3i | −0.192491 | − | 0.125676i | ||||
\(292\) | −45694.9 | + | 52734.7i | −0.535922 | + | 0.618487i | ||||
\(293\) | 44713.3 | + | 20419.9i | 0.520837 | + | 0.237858i | 0.658445 | − | 0.752629i | \(-0.271214\pi\) |
−0.137609 | + | 0.990487i | \(0.543942\pi\) | |||||||
\(294\) | 17436.0 | + | 15329.8i | 0.201722 | + | 0.177354i | ||||
\(295\) | −8468.21 | − | 18542.8i | −0.0973078 | − | 0.213074i | ||||
\(296\) | 15580.6 | − | 2240.15i | 0.177828 | − | 0.0255678i | ||||
\(297\) | 3943.01 | − | 12428.2i | 0.0447008 | − | 0.140895i | ||||
\(298\) | −19616.7 | −0.220898 | ||||||||
\(299\) | −100066. | − | 121888.i | −1.11930 | − | 1.36339i | ||||
\(300\) | 12290.8 | − | 26407.7i | 0.136564 | − | 0.293419i | ||||
\(301\) | 144552. | + | 92898.2i | 1.59548 | + | 1.02536i | ||||
\(302\) | −47027.0 | + | 6761.46i | −0.515624 | + | 0.0741355i | ||||
\(303\) | −526.134 | + | 73007.9i | −0.00573074 | + | 0.795215i | ||||
\(304\) | −4826.13 | − | 1417.08i | −0.0522218 | − | 0.0153337i | ||||
\(305\) | −85847.8 | − | 39205.4i | −0.922846 | − | 0.421450i | ||||
\(306\) | 41521.9 | + | 598.489i | 0.443439 | + | 0.00639165i | ||||
\(307\) | 14425.5 | − | 100332.i | 0.153057 | − | 1.06454i | −0.757999 | − | 0.652255i | \(-0.773823\pi\) |
0.911057 | − | 0.412281i | \(-0.135268\pi\) | |||||||
\(308\) | −4354.92 | − | 14831.5i | −0.0459070 | − | 0.156345i | ||||
\(309\) | 94985.7 | − | 27148.4i | 0.994812 | − | 0.284332i | ||||
\(310\) | 8646.63 | − | 5556.85i | 0.0899753 | − | 0.0578236i | ||||
\(311\) | 61851.8 | + | 96243.3i | 0.639487 | + | 0.995061i | 0.998102 | + | 0.0615758i | \(0.0196126\pi\) |
−0.358615 | + | 0.933485i | \(0.616751\pi\) | |||||||
\(312\) | −33985.1 | − | 118906.i | −0.349124 | − | 1.22150i | ||||
\(313\) | 42490.5 | − | 12476.3i | 0.433714 | − | 0.127350i | −0.0575857 | − | 0.998341i | \(-0.518340\pi\) |
0.491300 | + | 0.870991i | \(0.336522\pi\) | |||||||
\(314\) | 29803.7 | + | 4285.13i | 0.302281 | + | 0.0434615i | ||||
\(315\) | −1461.65 | + | 101406.i | −0.0147307 | + | 1.02198i | ||||
\(316\) | −13413.8 | + | 29372.2i | −0.134332 | + | 0.294145i | ||||
\(317\) | −6915.84 | + | 23553.2i | −0.0688218 | + | 0.234386i | −0.986720 | − | 0.162430i | \(-0.948067\pi\) |
0.917898 | + | 0.396816i | \(0.129885\pi\) | |||||||
\(318\) | −39239.2 | − | 282.778i | −0.388030 | − | 0.00279635i | ||||
\(319\) | −3004.96 | − | 20899.9i | −0.0295296 | − | 0.205383i | ||||
\(320\) | −8736.39 | + | 13594.1i | −0.0853163 | + | 0.132755i | ||||
\(321\) | −25586.1 | − | 11908.3i | −0.248309 | − | 0.115569i | ||||
\(322\) | −13449.4 | − | 50762.6i | −0.129715 | − | 0.489589i | ||||
\(323\) | 11387.2i | 0.109147i | ||||||||
\(324\) | −60220.6 | + | 65579.7i | −0.573661 | + | 0.624711i | ||||
\(325\) | 10118.3 | + | 70374.4i | 0.0957947 | + | 0.666267i | ||||
\(326\) | 42200.2 | − | 19272.2i | 0.397082 | − | 0.181341i | ||||
\(327\) | −70434.1 | + | 80111.4i | −0.658700 | + | 0.749202i | ||||
\(328\) | −47075.3 | + | 103081.i | −0.437568 | + | 0.958140i | ||||
\(329\) | 48964.8 | + | 42428.3i | 0.452369 | + | 0.391980i | ||||
\(330\) | −2696.76 | + | 4130.49i | −0.0247636 | + | 0.0379292i | ||||
\(331\) | 55192.8 | − | 16206.1i | 0.503763 | − | 0.147918i | −0.0199701 | − | 0.999801i | \(-0.506357\pi\) |
0.523733 | + | 0.851882i | \(0.324539\pi\) | |||||||
\(332\) | −38927.3 | + | 33730.7i | −0.353166 | + | 0.306020i | ||||
\(333\) | 26426.3 | + | 8174.97i | 0.238313 | + | 0.0737221i | ||||
\(334\) | 5997.75 | − | 3854.52i | 0.0537645 | − | 0.0345523i | ||||
\(335\) | 96411.1 | − | 83540.7i | 0.859087 | − | 0.744403i | ||||
\(336\) | −12444.3 | + | 82335.6i | −0.110228 | + | 0.729305i | ||||
\(337\) | 20883.1 | − | 145245.i | 0.183880 | − | 1.27892i | −0.663599 | − | 0.748088i | \(-0.730972\pi\) |
0.847480 | − | 0.530828i | \(-0.178119\pi\) | |||||||
\(338\) | 71047.3 | + | 61562.8i | 0.621891 | + | 0.538871i | ||||
\(339\) | −114348. | + | 97649.1i | −0.995012 | + | 0.849706i | ||||
\(340\) | 84192.7 | + | 24721.2i | 0.728311 | + | 0.213851i | ||||
\(341\) | −5456.83 | + | 2492.05i | −0.0469279 | + | 0.0214313i | ||||
\(342\) | 3262.02 | + | 2909.92i | 0.0278891 | + | 0.0248788i | ||||
\(343\) | −39970.6 | − | 25687.6i | −0.339745 | − | 0.218341i | ||||
\(344\) | − | 124360.i | − | 1.05091i | ||||||
\(345\) | 53236.9 | − | 76986.0i | 0.447275 | − | 0.646805i | ||||
\(346\) | 26583.9 | 0.222058 | ||||||||
\(347\) | −109574. | + | 170500.i | −0.910011 | + | 1.41600i | −0.000648624 | 1.00000i | \(0.500206\pi\) | |
−0.909362 | + | 0.416005i | \(0.863430\pi\) | |||||||
\(348\) | −41617.0 | + | 138046.i | −0.343646 | + | 1.13990i | ||||
\(349\) | 5701.75 | + | 12485.1i | 0.0468120 | + | 0.102504i | 0.931593 | − | 0.363503i | \(-0.118419\pi\) |
−0.884781 | + | 0.466007i | \(0.845692\pi\) | |||||||
\(350\) | −6670.10 | + | 22716.3i | −0.0544498 | + | 0.185439i | ||||
\(351\) | 35571.6 | − | 214394.i | 0.288728 | − | 1.74020i | ||||
\(352\) | −11290.2 | + | 13029.6i | −0.0911206 | + | 0.105159i | ||||
\(353\) | −123701. | − | 17785.5i | −0.992711 | − | 0.142730i | −0.373227 | − | 0.927740i | \(-0.621749\pi\) |
−0.619484 | + | 0.785010i | \(0.712658\pi\) | |||||||
\(354\) | −2173.83 | + | 14382.8i | −0.0173468 | + | 0.114772i | ||||
\(355\) | −81034.4 | − | 93518.7i | −0.643003 | − | 0.742065i | ||||
\(356\) | −100762. | − | 156789.i | −0.795054 | − | 1.23713i | ||||
\(357\) | 186788. | − | 25483.5i | 1.46559 | − | 0.199951i | ||||
\(358\) | 28740.0 | + | 33167.7i | 0.224244 | + | 0.258791i | ||||
\(359\) | −15802.1 | − | 53817.0i | −0.122610 | − | 0.417571i | 0.875197 | − | 0.483767i | \(-0.160732\pi\) |
−0.997807 | + | 0.0661960i | \(0.978914\pi\) | |||||||
\(360\) | 62313.2 | − | 38788.8i | 0.480811 | − | 0.299296i | ||||
\(361\) | 84557.1 | − | 97584.1i | 0.648837 | − | 0.748798i | ||||
\(362\) | −41420.9 | − | 18916.3i | −0.316084 | − | 0.144351i | ||||
\(363\) | −85104.7 | + | 96797.7i | −0.645863 | + | 0.734602i | ||||
\(364\) | −107029. | − | 234361.i | −0.807790 | − | 1.76881i | ||||
\(365\) | 100061. | − | 14386.6i | 0.751066 | − | 0.107987i | ||||
\(366\) | 35999.8 | + | 56914.5i | 0.268744 | + | 0.424875i | ||||
\(367\) | 49539.6 | 0.367807 | 0.183904 | − | 0.982944i | \(-0.441127\pi\) | ||||
0.183904 | + | 0.982944i | \(0.441127\pi\) | |||||||
\(368\) | 51854.9 | − | 56722.1i | 0.382908 | − | 0.418848i | ||||
\(369\) | −152366. | + | 128229.i | −1.11902 | + | 0.941742i | ||||
\(370\) | −8803.93 | − | 5657.94i | −0.0643092 | − | 0.0413290i | ||||
\(371\) | −176327. | + | 25352.0i | −1.28106 | + | 0.184189i | ||||
\(372\) | 40962.8 | + | 295.199i | 0.296008 | + | 0.00213319i | ||||
\(373\) | 28940.6 | + | 8497.72i | 0.208013 | + | 0.0610780i | 0.384079 | − | 0.923300i | \(-0.374519\pi\) |
−0.176066 | + | 0.984378i | \(0.556337\pi\) | |||||||
\(374\) | 8340.84 | + | 3809.13i | 0.0596302 | + | 0.0272322i | ||||
\(375\) | −139432. | + | 62465.9i | −0.991514 | + | 0.444202i | ||||
\(376\) | 6673.29 | − | 46413.8i | 0.0472024 | − | 0.328300i | ||||
\(377\) | −99151.8 | − | 337680.i | −0.697619 | − | 2.37587i | ||||
\(378\) | 40432.1 | − | 60019.9i | 0.282972 | − | 0.420061i | ||||
\(379\) | −93673.8 | + | 60200.5i | −0.652138 | + | 0.419104i | −0.824447 | − | 0.565939i | \(-0.808514\pi\) |
0.172309 | + | 0.985043i | \(0.444877\pi\) | |||||||
\(380\) | 4993.81 | + | 7770.51i | 0.0345831 | + | 0.0538124i | ||||
\(381\) | −68560.2 | + | 19595.6i | −0.472305 | + | 0.134992i | ||||
\(382\) | 13735.0 | − | 4032.97i | 0.0941246 | − | 0.0276375i | ||||
\(383\) | 195252. | + | 28073.0i | 1.33106 | + | 0.191378i | 0.770873 | − | 0.636989i | \(-0.219820\pi\) |
0.560187 | + | 0.828366i | \(0.310729\pi\) | |||||||
\(384\) | 137198. | − | 61465.1i | 0.930432 | − | 0.416837i | ||||
\(385\) | −9302.81 | + | 20370.3i | −0.0627614 | + | 0.137428i | ||||
\(386\) | 3287.16 | − | 11195.1i | 0.0220621 | − | 0.0751366i | ||||
\(387\) | 93641.8 | − | 197465.i | 0.625241 | − | 1.31846i | ||||
\(388\) | 4177.29 | + | 29053.7i | 0.0277480 | + | 0.192991i | ||||
\(389\) | −80944.6 | + | 125952.i | −0.534920 | + | 0.832352i | −0.998559 | − | 0.0536727i | \(-0.982907\pi\) |
0.463639 | + | 0.886024i | \(0.346544\pi\) | |||||||
\(390\) | −34693.5 | + | 74541.8i | −0.228096 | + | 0.490084i | ||||
\(391\) | −156287. | − | 76461.4i | −1.02228 | − | 0.500137i | ||||
\(392\) | − | 76280.7i | − | 0.496412i | ||||||
\(393\) | 14983.8 | + | 23688.9i | 0.0970148 | + | 0.153377i | ||||
\(394\) | −6306.05 | − | 43859.5i | −0.0406223 | − | 0.282534i | ||||
\(395\) | 42552.4 | − | 19433.0i | 0.272728 | − | 0.124551i | ||||
\(396\) | −17999.2 | + | 7908.45i | −0.114779 | + | 0.0504314i | ||||
\(397\) | −106964. | + | 234219.i | −0.678669 | + | 1.48608i | 0.185377 | + | 0.982667i | \(0.440649\pi\) |
−0.864047 | + | 0.503411i | \(0.832078\pi\) | |||||||
\(398\) | −28038.6 | − | 24295.6i | −0.177007 | − | 0.153377i | ||||
\(399\) | 16616.6 | + | 10848.8i | 0.104375 | + | 0.0681455i | ||||
\(400\) | −33244.6 | + | 9761.49i | −0.207779 | + | 0.0610093i | ||||
\(401\) | 44234.2 | − | 38329.1i | 0.275086 | − | 0.238364i | −0.506381 | − | 0.862310i | \(-0.669017\pi\) |
0.781467 | + | 0.623946i | \(0.214472\pi\) | |||||||
\(402\) | −90194.8 | + | 12305.3i | −0.558123 | + | 0.0761449i | ||||
\(403\) | −84115.7 | + | 54057.9i | −0.517925 | + | 0.332850i | ||||
\(404\) | 83196.9 | − | 72090.5i | 0.509735 | − | 0.441688i | ||||
\(405\) | 128151. | − | 14669.5i | 0.781289 | − | 0.0894343i | ||||
\(406\) | 16678.3 | − | 116000.i | 0.101181 | − | 0.703730i | ||||
\(407\) | 4616.17 | + | 3999.93i | 0.0278672 | + | 0.0241470i | ||||
\(408\) | −88602.6 | − | 103754.i | −0.532263 | − | 0.623284i | ||||
\(409\) | −159644. | − | 46875.7i | −0.954346 | − | 0.280221i | −0.232751 | − | 0.972536i | \(-0.574773\pi\) |
−0.721595 | + | 0.692315i | \(0.756591\pi\) | |||||||
\(410\) | 68532.9 | − | 31297.9i | 0.407691 | − | 0.186186i | ||||
\(411\) | −37886.5 | + | 125672.i | −0.224285 | + | 0.743970i | ||||
\(412\) | −125310. | − | 80531.6i | −0.738227 | − | 0.474430i | ||||
\(413\) | 66035.4i | 0.387148i | ||||||||
\(414\) | −61841.3 | + | 25231.2i | −0.360810 | + | 0.147210i | ||||
\(415\) | 74621.6 | 0.433280 | ||||||||
\(416\) | −155359. | + | 241744.i | −0.897740 | + | 1.39691i | ||||
\(417\) | 43399.4 | + | 13083.6i | 0.249581 | + | 0.0752414i | ||||
\(418\) | 400.974 | + | 878.011i | 0.00229490 | + | 0.00502513i | ||||
\(419\) | −48221.5 | + | 164227.i | −0.274671 | + | 0.935443i | 0.700437 | + | 0.713714i | \(0.252988\pi\) |
−0.975108 | + | 0.221729i | \(0.928830\pi\) | |||||||
\(420\) | 116286. | − | 99304.4i | 0.659219 | − | 0.562950i | ||||
\(421\) | 193131. | − | 222885.i | 1.08965 | − | 1.25753i | 0.125526 | − | 0.992090i | \(-0.459938\pi\) |
0.964128 | − | 0.265437i | \(-0.0855163\pi\) | |||||||
\(422\) | −101386. | − | 14577.2i | −0.569318 | − | 0.0818556i | ||||
\(423\) | 45545.1 | − | 68672.9i | 0.254543 | − | 0.383800i | ||||
\(424\) | 84429.4 | + | 97436.7i | 0.469637 | + | 0.541990i | ||||
\(425\) | 42408.0 | + | 65988.2i | 0.234785 | + | 0.365333i | ||||
\(426\) | 11936.2 | + | 87489.0i | 0.0657727 | + | 0.482097i | ||||
\(427\) | 200207. | + | 231051.i | 1.09805 | + | 1.26722i | ||||
\(428\) | 11988.5 | + | 40829.1i | 0.0654452 | + | 0.222886i | ||||
\(429\) | 26234.5 | − | 40182.0i | 0.142547 | − | 0.218332i | ||||
\(430\) | −54144.4 | + | 62486.0i | −0.292831 | + | 0.337945i | ||||
\(431\) | −216457. | − | 98852.7i | −1.16525 | − | 0.532150i | −0.263603 | − | 0.964631i | \(-0.584911\pi\) |
−0.901643 | + | 0.432481i | \(0.857638\pi\) | |||||||
\(432\) | 105884. | + | 2289.48i | 0.567364 | + | 0.0122679i | ||||
\(433\) | 73747.8 | + | 161485.i | 0.393345 | + | 0.861305i | 0.997902 | + | 0.0647431i | \(0.0206228\pi\) |
−0.604557 | + | 0.796562i | \(0.706650\pi\) | |||||||
\(434\) | −32956.8 | + | 4738.47i | −0.174971 | + | 0.0251570i | ||||
\(435\) | 176533. | − | 111661.i | 0.932924 | − | 0.590098i | ||||
\(436\) | 160841. | 0.846103 | ||||||||
\(437\) | −7162.53 | − | 16856.5i | −0.0375062 | − | 0.0882682i | ||||
\(438\) | −65398.4 | − | 30437.9i | −0.340894 | − | 0.158660i | ||||
\(439\) | 136166. | + | 87508.7i | 0.706546 | + | 0.454069i | 0.843933 | − | 0.536448i | \(-0.180234\pi\) |
−0.137388 | + | 0.990517i | \(0.543871\pi\) | |||||||
\(440\) | 16042.5 | − | 2306.56i | 0.0828642 | − | 0.0119141i | ||||
\(441\) | 57438.4 | − | 121122.i | 0.295342 | − | 0.622795i | ||||
\(442\) | 146643. | + | 43058.3i | 0.750614 | + | 0.220400i | ||||
\(443\) | 3590.17 | + | 1639.57i | 0.0182939 | + | 0.00835456i | 0.424541 | − | 0.905409i | \(-0.360435\pi\) |
−0.406247 | + | 0.913763i | \(0.633163\pi\) | |||||||
\(444\) | −17052.7 | − | 38063.7i | −0.0865022 | − | 0.193084i | ||||
\(445\) | −38426.1 | + | 267259.i | −0.194047 | + | 1.34962i | ||||
\(446\) | 6405.29 | + | 21814.4i | 0.0322010 | + | 0.109666i | ||||
\(447\) | 31126.3 | + | 108904.i | 0.155780 | + | 0.545039i | ||||
\(448\) | 44037.0 | − | 28300.8i | 0.219413 | − | 0.141008i | ||||
\(449\) | 149319. | + | 232346.i | 0.740668 | + | 1.15250i | 0.983231 | + | 0.182366i | \(0.0583757\pi\) |
−0.242562 | + | 0.970136i | \(0.577988\pi\) | |||||||
\(450\) | 29740.3 | + | 4714.45i | 0.146866 | + | 0.0232812i | ||||
\(451\) | −42191.9 | + | 12388.7i | −0.207432 | + | 0.0609076i | ||||
\(452\) | 224420. | + | 32266.8i | 1.09846 | + | 0.157935i | ||||
\(453\) | 112156. | + | 250346.i | 0.546545 | + | 1.21996i | ||||
\(454\) | 56137.6 | − | 122924.i | 0.272359 | − | 0.596383i | ||||
\(455\) | −105158. | + | 358137.i | −0.507951 | + | 1.72992i | ||||
\(456\) | 103.500 | − | 14362.0i | 0.000497750 | − | 0.0690693i | ||||
\(457\) | −11207.1 | − | 77947.1i | −0.0536612 | − | 0.373222i | −0.998902 | − | 0.0468483i | \(-0.985082\pi\) |
0.945241 | − | 0.326374i | \(-0.105827\pi\) | |||||||
\(458\) | 71318.3 | − | 110973.i | 0.339993 | − | 0.529039i | ||||
\(459\) | −62561.4 | − | 231462.i | −0.296949 | − | 1.09864i | ||||
\(460\) | −140180. | + | 16362.2i | −0.662477 | + | 0.0773261i | ||||
\(461\) | − | 194934.i | − | 0.917244i | −0.888631 | − | 0.458622i | \(-0.848343\pi\) | ||
0.888631 | − | 0.458622i | \(-0.151657\pi\) | |||||||
\(462\) | 13504.9 | − | 8542.19i | 0.0632714 | − | 0.0400208i | ||||
\(463\) | 11616.7 | + | 80795.8i | 0.0541901 | + | 0.376900i | 0.998812 | + | 0.0487385i | \(0.0155201\pi\) |
−0.944621 | + | 0.328162i | \(0.893571\pi\) | |||||||
\(464\) | 156009. | − | 71247.1i | 0.724627 | − | 0.330926i | ||||
\(465\) | −44569.2 | − | 39185.3i | −0.206124 | − | 0.181225i | ||||
\(466\) | −62616.5 | + | 137111.i | −0.288348 | + | 0.631394i | ||||
\(467\) | 36440.7 | + | 31576.0i | 0.167091 | + | 0.144785i | 0.734392 | − | 0.678725i | \(-0.237467\pi\) |
−0.567302 | + | 0.823510i | \(0.692013\pi\) | |||||||
\(468\) | −278192. | + | 173169.i | −1.27014 | + | 0.790639i | ||||
\(469\) | −396514. | + | 116427.i | −1.80266 | + | 0.529307i | ||||
\(470\) | −23560.8 | + | 20415.6i | −0.106658 | + | 0.0924200i | ||||
\(471\) | −23501.2 | − | 172257.i | −0.105937 | − | 0.776491i | ||||
\(472\) | 40205.7 | − | 25838.6i | 0.180469 | − | 0.115981i | ||||
\(473\) | 36470.1 | − | 31601.5i | 0.163010 | − | 0.141249i | ||||
\(474\) | −33005.9 | − | 4988.56i | −0.146904 | − | 0.0222033i | ||||
\(475\) | −1175.11 | + | 8173.09i | −0.00520826 | + | 0.0362242i | ||||
\(476\) | −214822. | − | 186144.i | −0.948122 | − | 0.821553i | ||||
\(477\) | 60692.1 | + | 218289.i | 0.266744 | + | 0.959388i | ||||
\(478\) | 132252. | + | 38832.5i | 0.578822 | + | 0.169957i | ||||
\(479\) | 172399. | − | 78732.0i | 0.751388 | − | 0.343147i | −0.00263427 | − | 0.999997i | \(-0.500839\pi\) |
0.754022 | + | 0.656849i | \(0.228111\pi\) | |||||||
\(480\) | −163297. | − | 49229.3i | −0.708754 | − | 0.213669i | ||||
\(481\) | 85645.8 | + | 55041.2i | 0.370183 | + | 0.237902i | ||||
\(482\) | 33117.6i | 0.142549i | ||||||||
\(483\) | −260472. | + | 155212.i | −1.11652 | + | 0.665321i | ||||
\(484\) | 194342. | 0.829614 | ||||||||
\(485\) | 22990.1 | − | 35773.4i | 0.0977368 | − | 0.152081i | ||||
\(486\) | −82292.6 | − | 41226.9i | −0.348408 | − | 0.174545i | ||||
\(487\) | −103118. | − | 225798.i | −0.434788 | − | 0.952054i | −0.992526 | − | 0.122036i | \(-0.961058\pi\) |
0.557737 | − | 0.830018i | \(-0.311670\pi\) | |||||||
\(488\) | 62337.8 | − | 212303.i | 0.261765 | − | 0.891490i | ||||
\(489\) | −173952. | − | 203699.i | −0.727463 | − | 0.851864i | ||||
\(490\) | −33211.3 | + | 38327.9i | −0.138323 | + | 0.159633i | ||||
\(491\) | 404891. | + | 58214.6i | 1.67948 | + | 0.241473i | 0.915082 | − | 0.403268i | \(-0.132126\pi\) |
0.764401 | + | 0.644741i | \(0.223035\pi\) | |||||||
\(492\) | 296899. | + | 44873.8i | 1.22653 | + | 0.185380i | ||||
\(493\) | −254269. | − | 293443.i | −1.04617 | − | 1.20734i | ||||
\(494\) | 8697.98 | + | 13534.3i | 0.0356422 | + | 0.0554604i | ||||
\(495\) | 27209.8 | + | 8417.34i | 0.111049 | + | 0.0343530i | ||||
\(496\) | −31909.5 | − | 36825.5i | −0.129705 | − | 0.149687i | ||||
\(497\) | 112934. | + | 384618.i | 0.457207 | + | 1.55710i | ||||
\(498\) | −44586.3 | − | 29110.0i | −0.179781 | − | 0.117377i | ||||
\(499\) | 31557.8 | − | 36419.7i | 0.126738 | − | 0.146263i | −0.688834 | − | 0.724919i | \(-0.741877\pi\) |
0.815572 | + | 0.578656i | \(0.196423\pi\) | |||||||
\(500\) | 209553. | + | 95699.6i | 0.838212 | + | 0.382798i | ||||
\(501\) | −30915.5 | − | 27181.0i | −0.123169 | − | 0.108290i | ||||
\(502\) | 52831.4 | + | 115685.i | 0.209645 | + | 0.459059i | ||||
\(503\) | 176443. | − | 25368.7i | 0.697378 | − | 0.100268i | 0.215497 | − | 0.976505i | \(-0.430863\pi\) |
0.481881 | + | 0.876237i | \(0.339954\pi\) | |||||||
\(504\) | −235815. | + | 30443.0i | −0.928348 | + | 0.119847i | ||||
\(505\) | −159484. | −0.625366 | ||||||||
\(506\) | −14742.9 | − | 392.293i | −0.0575813 | − | 0.00153218i | ||||
\(507\) | 229039. | − | 492109.i | 0.891032 | − | 1.91446i | ||||
\(508\) | 90447.9 | + | 58127.3i | 0.350486 | + | 0.225244i | ||||
\(509\) | −176197. | + | 25333.3i | −0.680086 | + | 0.0977815i | −0.473696 | − | 0.880688i | \(-0.657080\pi\) |
−0.206389 | + | 0.978470i | \(0.566171\pi\) | |||||||
\(510\) | −653.692 | + | 90708.3i | −0.00251323 | + | 0.348744i | ||||
\(511\) | −314207. | − | 92259.6i | −1.20330 | − | 0.353321i | ||||
\(512\) | −224842. | − | 102682.i | −0.857706 | − | 0.391701i | ||||
\(513\) | 10978.7 | − | 22726.7i | 0.0417175 | − | 0.0863577i | ||||
\(514\) | 8577.28 | − | 59656.3i | 0.0324656 | − | 0.225803i | ||||
\(515\) | 60797.1 | + | 207056.i | 0.229228 | + | 0.780680i | ||||
\(516\) | −316835. | + | 90556.4i | −1.18997 | + | 0.340110i | ||||
\(517\) | 15307.1 | − | 9837.30i | 0.0572681 | − | 0.0368040i | ||||
\(518\) | 18328.5 | + | 28519.6i | 0.0683072 | + | 0.106288i | ||||
\(519\) | −42181.5 | − | 147583.i | −0.156598 | − | 0.547901i | ||||
\(520\) | 259199. | − | 76107.6i | 0.958574 | − | 0.281463i | ||||
\(521\) | −30822.1 | − | 4431.55i | −0.113550 | − | 0.0163260i | 0.0853056 | − | 0.996355i | \(-0.472813\pi\) |
−0.198855 | + | 0.980029i | \(0.563722\pi\) | |||||||
\(522\) | −149037. | − | 2148.19i | −0.546958 | − | 0.00788375i | ||||
\(523\) | −156813. | + | 343372.i | −0.573295 | + | 1.25534i | 0.371730 | + | 0.928341i | \(0.378765\pi\) |
−0.945025 | + | 0.326999i | \(0.893963\pi\) | |||||||
\(524\) | 11907.2 | − | 40552.0i | 0.0433656 | − | 0.147690i | ||||
\(525\) | 136695. | + | 985.098i | 0.495946 | + | 0.00357405i | ||||
\(526\) | −26666.7 | − | 185471.i | −0.0963824 | − | 0.670354i | ||||
\(527\) | −59640.4 | + | 92802.2i | −0.214743 | + | 0.334147i | ||||
\(528\) | 21201.9 | + | 9867.86i | 0.0760515 | + | 0.0353961i | ||||
\(529\) | 279445. | + | 14882.0i | 0.998585 | + | 0.0531803i | ||||
\(530\) | − | 85717.1i | − | 0.305152i | ||||||
\(531\) | 83296.5 | − | 10753.3i | 0.295418 | − | 0.0381376i | ||||
\(532\) | −4258.34 | − | 29617.4i | −0.0150459 | − | 0.104646i | ||||
\(533\) | −666698. | + | 304471.i | −2.34679 | + | 1.07174i | ||||
\(534\) | 127218. | − | 144697.i | 0.446134 | − | 0.507431i | ||||
\(535\) | 25609.4 | − | 56076.7i | 0.0894729 | − | 0.195918i | ||||
\(536\) | 226036. | + | 195861.i | 0.786771 | + | 0.681741i | ||||
\(537\) | 138531. | − | 212181.i | 0.480394 | − | 0.735795i | ||||
\(538\) | −36169.9 | + | 10620.4i | −0.124963 | + | 0.0366926i | ||||
\(539\) | 22370.2 | − | 19383.9i | 0.0770002 | − | 0.0667211i | ||||
\(540\) | −144198. | − | 130511.i | −0.494506 | − | 0.447570i | ||||
\(541\) | 274114. | − | 176163.i | 0.936564 | − | 0.601893i | 0.0191454 | − | 0.999817i | \(-0.493905\pi\) |
0.917419 | + | 0.397924i | \(0.130269\pi\) | |||||||
\(542\) | −5051.77 | + | 4377.39i | −0.0171967 | + | 0.0149010i | ||||
\(543\) | −39291.8 | + | 259967.i | −0.133261 | + | 0.881695i | ||||
\(544\) | −45119.1 | + | 313810.i | −0.152462 | + | 1.06040i | ||||
\(545\) | −176101. | − | 152593.i | −0.592883 | − | 0.513736i | ||||
\(546\) | 202542. | − | 172964.i | 0.679406 | − | 0.580190i | ||||
\(547\) | 23697.8 | + | 6958.31i | 0.0792016 | + | 0.0232557i | 0.321093 | − | 0.947048i | \(-0.395950\pi\) |
−0.241892 | + | 0.970303i | \(0.577768\pi\) | |||||||
\(548\) | 180029. | − | 82216.4i | 0.599489 | − | 0.273777i | ||||
\(549\) | 258844. | − | 290164.i | 0.858803 | − | 0.962718i | ||||
\(550\) | 5593.49 | + | 3594.72i | 0.0184909 | + | 0.0118834i | ||||
\(551\) | − | 40872.9i | − | 0.134627i | ||||||
\(552\) | 196420. | + | 97856.7i | 0.644625 | + | 0.321153i | ||||
\(553\) | −151540. | −0.495537 | ||||||||
\(554\) | −77322.8 | + | 120317.i | −0.251935 | + | 0.392018i | ||||
\(555\) | −17441.1 | + | 57853.4i | −0.0566224 | + | 0.187820i | ||||
\(556\) | −28392.4 | − | 62170.8i | −0.0918445 | − | 0.201111i | ||||
\(557\) | −23197.7 | + | 79004.2i | −0.0747713 | + | 0.254648i | −0.988393 | − | 0.151917i | \(-0.951455\pi\) |
0.913622 | + | 0.406565i | \(0.133273\pi\) | |||||||
\(558\) | 11343.8 | + | 40799.7i | 0.0364326 | + | 0.131035i | ||||
\(559\) | 526724. | − | 607872.i | 1.68562 | − | 1.94531i | ||||
\(560\) | −180047. | − | 25886.8i | −0.574128 | − | 0.0825472i | ||||
\(561\) | 7912.10 | − | 52349.0i | 0.0251400 | − | 0.166335i | ||||
\(562\) | −93771.9 | − | 108219.i | −0.296893 | − | 0.342633i | ||||
\(563\) | 316663. | + | 492737.i | 0.999034 | + | 1.55453i | 0.821337 | + | 0.570443i | \(0.193228\pi\) |
0.177697 | + | 0.984085i | \(0.443135\pi\) | |||||||
\(564\) | −123109. | + | 16795.8i | −0.387017 | + | 0.0528009i | ||||
\(565\) | −215101. | − | 248240.i | −0.673823 | − | 0.777633i | ||||
\(566\) | 17634.3 | + | 60057.0i | 0.0550460 | + | 0.187470i | ||||
\(567\) | −397361. | − | 129227.i | −1.23600 | − | 0.401964i | ||||
\(568\) | 189986. | − | 219255.i | 0.588876 | − | 0.679600i | ||||
\(569\) | −289618. | − | 132264.i | −0.894542 | − | 0.408524i | −0.0855434 | − | 0.996334i | \(-0.527263\pi\) |
−0.808998 | + | 0.587811i | \(0.799990\pi\) | |||||||
\(570\) | −6304.97 | + | 7171.25i | −0.0194059 | + | 0.0220722i | ||||
\(571\) | 118489. | + | 259455.i | 0.363417 | + | 0.795773i | 0.999704 | + | 0.0243203i | \(0.00774217\pi\) |
−0.636287 | + | 0.771452i | \(0.719531\pi\) | |||||||
\(572\) | −71620.3 | + | 10297.4i | −0.218899 | + | 0.0314730i | ||||
\(573\) | −44183.2 | − | 69852.1i | −0.134570 | − | 0.212750i | ||||
\(574\) | −244062. | −0.740759 | ||||||||
\(575\) | −104283. | − | 71007.8i | −0.315412 | − | 0.214768i | ||||
\(576\) | −42869.5 | − | 50939.3i | −0.129212 | − | 0.153535i | ||||
\(577\) | −377030. | − | 242302.i | −1.13246 | − | 0.727789i | −0.166390 | − | 0.986060i | \(-0.553211\pi\) |
−0.966073 | + | 0.258271i | \(0.916847\pi\) | |||||||
\(578\) | 38038.2 | − | 5469.07i | 0.113858 | − | 0.0163703i | ||||
\(579\) | −67366.2 | − | 485.476i | −0.200949 | − | 0.00144814i | ||||
\(580\) | −302199. | − | 88733.5i | −0.898331 | − | 0.263774i | ||||
\(581\) | −219886. | − | 100419.i | −0.651397 | − | 0.297483i | ||||
\(582\) | −27691.8 | + | 12406.0i | −0.0817534 | + | 0.0366258i | ||||
\(583\) | −7119.87 | + | 49519.8i | −0.0209476 | + | 0.145694i | ||||
\(584\) | 66772.1 | + | 227405.i | 0.195780 | + | 0.666767i | ||||
\(585\) | 468875. | + | 74326.3i | 1.37008 | + | 0.217185i | ||||
\(586\) | 64457.2 | − | 41424.1i | 0.187705 | − | 0.120631i | ||||
\(587\) | −153947. | − | 239547.i | −0.446782 | − | 0.695207i | 0.542689 | − | 0.839933i | \(-0.317406\pi\) |
−0.989472 | + | 0.144727i | \(0.953770\pi\) | |||||||
\(588\) | −194342. | + | 55545.9i | −0.562098 | + | 0.160656i | ||||
\(589\) | −11142.0 | + | 3271.59i | −0.0321168 | + | 0.00943035i | ||||
\(590\) | −31451.4 | − | 4522.03i | −0.0903516 | − | 0.0129906i | ||||
\(591\) | −233484. | + | 104602.i | −0.668471 | + | 0.299477i | ||||
\(592\) | −20610.2 | + | 45130.1i | −0.0588084 | + | 0.128772i | ||||
\(593\) | −13970.9 | + | 47580.4i | −0.0397296 | + | 0.135306i | −0.976970 | − | 0.213378i | \(-0.931553\pi\) |
0.937240 | + | 0.348685i | \(0.113372\pi\) | |||||||
\(594\) | −12974.2 | − | 15643.9i | −0.0367712 | − | 0.0443377i | ||||
\(595\) | 58605.6 | + | 407611.i | 0.165541 | + | 1.15136i | ||||
\(596\) | 92331.7 | − | 143671.i | 0.259931 | − | 0.404461i | ||||
\(597\) | −90389.4 | + | 194209.i | −0.253611 | + | 0.544905i | ||||
\(598\) | −244159. | + | 28498.9i | −0.682764 | + | 0.0796941i | ||||
\(599\) | 235543.i | 0.656474i | 0.944595 | + | 0.328237i | \(0.106454\pi\) | ||||
−0.944595 | + | 0.328237i | \(0.893546\pi\) | |||||||
\(600\) | −52886.9 | − | 83612.3i | −0.146908 | − | 0.232256i | ||||
\(601\) | 27617.6 | + | 192084.i | 0.0764603 | + | 0.531793i | 0.991669 | + | 0.128813i | \(0.0411167\pi\) |
−0.915209 | + | 0.402980i | \(0.867974\pi\) | |||||||
\(602\) | 243634. | − | 111264.i | 0.672272 | − | 0.307016i | ||||
\(603\) | 211429. | + | 481200.i | 0.581473 | + | 1.32340i | ||||
\(604\) | 171826. | − | 376247.i | 0.470994 | − | 1.03133i | ||||
\(605\) | −212781. | − | 184376.i | −0.581329 | − | 0.503725i | ||||
\(606\) | 95291.5 | + | 62215.0i | 0.259483 | + | 0.169414i | ||||
\(607\) | 264557. | − | 77680.9i | 0.718028 | − | 0.210832i | 0.0977465 | − | 0.995211i | \(-0.468837\pi\) |
0.620281 | + | 0.784379i | \(0.287018\pi\) | |||||||
\(608\) | −25221.9 | + | 21854.9i | −0.0682293 | + | 0.0591210i | ||||
\(609\) | −670449. | + | 91469.6i | −1.80772 | + | 0.246628i | ||||
\(610\) | −123755. | + | 79532.7i | −0.332586 | + | 0.213740i | ||||
\(611\) | 229203. | − | 198606.i | 0.613957 | − | 0.531997i | ||||
\(612\) | −199819. | + | 301286.i | −0.533498 | + | 0.804408i | ||||
\(613\) | −72782.0 | + | 506210.i | −0.193688 | + | 1.34713i | 0.628453 | + | 0.777847i | \(0.283688\pi\) |
−0.822141 | + | 0.569283i | \(0.807221\pi\) | |||||||
\(614\) | −119408. | − | 103467.i | −0.316734 | − | 0.274452i | ||||
\(615\) | −282496. | − | 330805.i | −0.746900 | − | 0.874625i | ||||
\(616\) | −50376.1 | − | 14791.8i | −0.132759 | − | 0.0389815i | ||||
\(617\) | −193952. | + | 88574.8i | −0.509476 | + | 0.232670i | −0.653531 | − | 0.756900i | \(-0.726713\pi\) |
0.144055 | + | 0.989570i | \(0.453986\pi\) | |||||||
\(618\) | 44446.7 | − | 147433.i | 0.116376 | − | 0.386026i | ||||
\(619\) | 194259. | + | 124842.i | 0.506989 | + | 0.325822i | 0.769007 | − | 0.639241i | \(-0.220751\pi\) |
−0.262017 | + | 0.965063i | \(0.584388\pi\) | |||||||
\(620\) | 89482.2i | 0.232784i | ||||||||
\(621\) | 238199. | + | 303283.i | 0.617670 | + | 0.786437i | ||||
\(622\) | 178327. | 0.460932 | ||||||||
\(623\) | 472882. | − | 735818.i | 1.21836 | − | 1.89581i | ||||
\(624\) | 373197. | + | 112508.i | 0.958450 | + | 0.288945i | ||||
\(625\) | −76722.2 | − | 167998.i | −0.196409 | − | 0.430075i | ||||
\(626\) | 19447.4 | − | 66231.7i | 0.0496263 | − | 0.169012i | ||||
\(627\) | 4238.12 | − | 3619.21i | 0.0107805 | − | 0.00920616i | ||||
\(628\) | −171664. | + | 198111.i | −0.435272 | + | 0.502330i | ||||
\(629\) | 111178. | + | 15984.9i | 0.281007 | + | 0.0404026i | ||||
\(630\) | 131742. | + | 87373.6i | 0.331927 | + | 0.220140i | ||||
\(631\) | −157685. | − | 181978.i | −0.396033 | − | 0.457047i | 0.522354 | − | 0.852728i | \(-0.325054\pi\) |
−0.918388 | + | 0.395682i | \(0.870508\pi\) | |||||||
\(632\) | 59295.1 | + | 92264.9i | 0.148451 | + | 0.230995i | ||||
\(633\) | 79946.3 | + | 585986.i | 0.199522 | + | 1.46245i | ||||
\(634\) | 25057.1 | + | 28917.4i | 0.0623378 | + | 0.0719417i | ||||
\(635\) | −43883.1 | − | 149452.i | −0.108830 | − | 0.370642i | ||||
\(636\) | 186762. | − | 286054.i | 0.461715 | − | 0.707185i | ||||
\(637\) | 323084. | − | 372859.i | 0.796228 | − | 0.918896i | ||||
\(638\) | −29938.3 | − | 13672.4i | −0.0735506 | − | 0.0335894i | ||||
\(639\) | 466764. | − | 205086.i | 1.14313 | − | 0.502267i | ||||
\(640\) | 136422. | + | 298722.i | 0.333061 | + | 0.729303i | ||||
\(641\) | −78361.8 | + | 11266.7i | −0.190717 | + | 0.0274209i | −0.237011 | − | 0.971507i | \(-0.576168\pi\) |
0.0462946 | + | 0.998928i | \(0.485259\pi\) | |||||||
\(642\) | −37177.2 | + | 23515.5i | −0.0902000 | + | 0.0570537i | ||||
\(643\) | 540559. | 1.30744 | 0.653719 | − | 0.756738i | \(-0.273208\pi\) | ||||
0.653719 | + | 0.756738i | \(0.273208\pi\) | |||||||
\(644\) | 435085. | + | 140427.i | 1.04906 | + | 0.338593i | ||||
\(645\) | 432809. | + | 201439.i | 1.04034 | + | 0.484200i | ||||
\(646\) | 14932.0 | + | 9596.21i | 0.0357810 | + | 0.0229951i | ||||
\(647\) | 68363.7 | − | 9829.22i | 0.163312 | − | 0.0234807i | −0.0601740 | − | 0.998188i | \(-0.519166\pi\) |
0.223486 | + | 0.974707i | \(0.428256\pi\) | |||||||
\(648\) | 76801.1 | + | 292498.i | 0.182902 | + | 0.696582i | ||||
\(649\) | 17794.2 | + | 5224.86i | 0.0422464 | + | 0.0124047i | ||||
\(650\) | 100809. | + | 46037.7i | 0.238600 | + | 0.108965i | ||||
\(651\) | 78599.5 | + | 175444.i | 0.185463 | + | 0.413977i | ||||
\(652\) | −57479.9 | + | 399782.i | −0.135214 | + | 0.940433i | ||||
\(653\) | −189685. | − | 646006.i | −0.444842 | − | 1.51499i | −0.811341 | − | 0.584574i | \(-0.801262\pi\) |
0.366499 | − | 0.930419i | \(-0.380556\pi\) | |||||||
\(654\) | 45693.6 | + | 159871.i | 0.106832 | + | 0.373779i | ||||
\(655\) | −51509.4 | + | 33103.1i | −0.120061 | + | 0.0771588i | ||||
\(656\) | −193105. | − | 300477.i | −0.448730 | − | 0.698238i | ||||
\(657\) | −65209.3 | + | 411362.i | −0.151070 | + | 0.953001i | ||||
\(658\) | 96899.6 | − | 28452.3i | 0.223805 | − | 0.0657151i | ||||
\(659\) | 114632. | + | 16481.6i | 0.263958 | + | 0.0379515i | 0.273023 | − | 0.962007i | \(-0.411976\pi\) |
−0.00906487 | + | 0.999959i | \(0.502885\pi\) | |||||||
\(660\) | −17558.3 | − | 39192.2i | −0.0403082 | − | 0.0899729i | ||||
\(661\) | −92615.4 | + | 202799.i | −0.211973 | + | 0.464156i | −0.985515 | − | 0.169589i | \(-0.945756\pi\) |
0.773542 | + | 0.633745i | \(0.218483\pi\) | |||||||
\(662\) | 25261.0 | − | 86031.2i | 0.0576415 | − | 0.196309i | ||||
\(663\) | 6359.21 | − | 882424.i | 0.0144669 | − | 2.00747i | ||||
\(664\) | 24898.1 | + | 173170.i | 0.0564716 | + | 0.392768i | ||||
\(665\) | −23436.2 | + | 36467.5i | −0.0529962 | + | 0.0824636i | ||||
\(666\) | 32989.8 | − | 27763.5i | 0.0743756 | − | 0.0625931i | ||||
\(667\) | 560970. | + | 274448.i | 1.26092 | + | 0.616891i | ||||
\(668\) | 62069.5i | 0.139099i | ||||||||
\(669\) | 110941. | − | 70173.1i | 0.247879 | − | 0.156790i | ||||
\(670\) | −28299.1 | − | 196825.i | −0.0630410 | − | 0.438460i | ||||
\(671\) | 78101.1 | − | 35667.6i | 0.173465 | − | 0.0792188i | ||||
\(672\) | 414936. | + | 364812.i | 0.918846 | + | 0.807851i | ||||
\(673\) | 45406.6 | − | 99426.6i | 0.100251 | − | 0.219519i | −0.852860 | − | 0.522139i | \(-0.825134\pi\) |
0.953111 | + | 0.302620i | \(0.0978614\pi\) | |||||||
\(674\) | −172861. | − | 149785.i | −0.380519 | − | 0.329722i | ||||
\(675\) | −21017.1 | − | 172586.i | −0.0461280 | − | 0.378790i | ||||
\(676\) | −785286. | + | 230581.i | −1.71844 | + | 0.504580i | ||||
\(677\) | 16557.3 | − | 14347.0i | 0.0361254 | − | 0.0313028i | −0.636611 | − | 0.771185i | \(-0.719664\pi\) |
0.672736 | + | 0.739882i | \(0.265119\pi\) | |||||||
\(678\) | 31683.8 | + | 232234.i | 0.0689253 | + | 0.505205i | ||||
\(679\) | −115885. | + | 74474.8i | −0.251355 | + | 0.161536i | ||||
\(680\) | 225242. | − | 195174.i | 0.487116 | − | 0.422088i | ||||
\(681\) | −771499. | − | 116606.i | −1.66357 | − | 0.251434i | ||||
\(682\) | −1330.76 | + | 9255.61i | −0.00286108 | + | 0.0198992i | ||||
\(683\) | 143052. | + | 123955.i | 0.306656 | + | 0.265719i | 0.794570 | − | 0.607173i | \(-0.207697\pi\) |
−0.487914 | + | 0.872892i | \(0.662242\pi\) | |||||||
\(684\) | −36665.7 | + | 10194.4i | −0.0783696 | + | 0.0217896i | ||||
\(685\) | −275110. | − | 80779.6i | −0.586307 | − | 0.172155i | ||||
\(686\) | −67368.0 | + | 30765.9i | −0.143155 | + | 0.0653765i | ||||
\(687\) | −729242. | − | 219845.i | −1.54511 | − | 0.465804i | ||||
\(688\) | 329748. | + | 211916.i | 0.696636 | + | 0.447700i | ||||
\(689\) | 833868.i | 1.75654i | ||||||||
\(690\) | −56087.7 | − | 134687.i | −0.117806 | − | 0.282896i | ||||
\(691\) | −270758. | −0.567054 | −0.283527 | − | 0.958964i | \(-0.591505\pi\) | ||||
−0.283527 | + | 0.958964i | \(0.591505\pi\) | |||||||
\(692\) | −125125. | + | 194699.i | −0.261296 | + | 0.406585i | ||||
\(693\) | −68851.4 | − | 61419.6i | −0.143366 | − | 0.127891i | ||||
\(694\) | 131236. | + | 287366.i | 0.272479 | + | 0.596647i | ||||
\(695\) | −27896.3 | + | 95005.9i | −0.0577532 | + | 0.196689i | ||||
\(696\) | 318027. | + | 372412.i | 0.656517 | + | 0.768786i | ||||
\(697\) | −529534. | + | 611115.i | −1.09000 | + | 1.25793i | ||||
\(698\) | 21176.6 | + | 3044.74i | 0.0434656 | + | 0.00624941i | ||||
\(699\) | 860540. | + | 130063.i | 1.76123 | + | 0.266195i | ||||
\(700\) | −134977. | − | 155772.i | −0.275464 | − | 0.317903i | ||||
\(701\) | −144012. | − | 224087.i | −0.293064 | − | 0.456016i | 0.663234 | − | 0.748413i | \(-0.269184\pi\) |
−0.956297 | + | 0.292397i | \(0.905547\pi\) | |||||||
\(702\) | −251157. | − | 227319.i | −0.509649 | − | 0.461276i | ||||
\(703\) | 7742.83 | + | 8935.71i | 0.0156671 | + | 0.0180808i | ||||
\(704\) | −4141.79 | − | 14105.6i | −0.00835685 | − | 0.0284608i | ||||
\(705\) | 150724. | + | 98406.1i | 0.303251 | + | 0.197990i | ||||
\(706\) | −127567. | + | 147220.i | −0.255934 | + | 0.295364i | ||||
\(707\) | 469949. | + | 214618.i | 0.940182 | + | 0.429367i | ||||
\(708\) | −95106.4 | − | 83617.7i | −0.189733 | − | 0.166814i | ||||
\(709\) | 229317. | + | 502134.i | 0.456188 | + | 0.998911i | 0.988340 | + | 0.152263i | \(0.0486560\pi\) |
−0.532153 | + | 0.846648i | \(0.678617\pi\) | |||||||
\(710\) | −190920. | + | 27450.1i | −0.378734 | + | 0.0544538i | ||||
\(711\) | 24677.0 | + | 191151.i | 0.0488149 | + | 0.378126i | ||||
\(712\) | −633034. | −1.24873 | ||||||||
\(713\) | 29913.3 | − | 174889.i | 0.0588416 | − | 0.344019i | ||||
\(714\) | 123993. | − | 266409.i | 0.243221 | − | 0.522580i | ||||
\(715\) | 88185.0 | + | 56673.0i | 0.172497 | + | 0.110857i | ||||
\(716\) | −378191. | + | 54375.6i | −0.737708 | + | 0.106066i | ||||
\(717\) | 5735.12 | − | 795823.i | 0.0111559 | − | 1.54803i | ||||
\(718\) | −83886.7 | − | 24631.4i | −0.162721 | − | 0.0477793i | ||||
\(719\) | 115168. | + | 52595.3i | 0.222778 | + | 0.101739i | 0.523678 | − | 0.851917i | \(-0.324560\pi\) |
−0.300900 | + | 0.953656i | \(0.597287\pi\) | |||||||
\(720\) | −3334.27 | + | 231325.i | −0.00643185 | + | 0.446228i | ||||
\(721\) | 99486.4 | − | 691943.i | 0.191378 | − | 1.33107i | ||||
\(722\) | −56703.8 | − | 193115.i | −0.108777 | − | 0.370461i | ||||
\(723\) | 183855. | − | 52548.6i | 0.351722 | − | 0.100528i | ||||
\(724\) | 333501. | − | 214328.i | 0.636239 | − | 0.408886i | ||||
\(725\) | −152218. | − | 236856.i | −0.289594 | − | 0.450617i | ||||
\(726\) | 55211.1 | + | 193171.i | 0.104750 | + | 0.366495i | ||||
\(727\) | 640368. | − | 188029.i | 1.21160 | − | 0.355759i | 0.387325 | − | 0.921943i | \(-0.373399\pi\) |
0.824279 | + | 0.566184i | \(0.191581\pi\) | |||||||
\(728\) | −866194. | − | 124540.i | −1.63438 | − | 0.234988i | ||||
\(729\) | −98298.9 | + | 522271.i | −0.184967 | + | 0.982745i | ||||
\(730\) | 65458.0 | − | 143333.i | 0.122834 | − | 0.268968i | ||||
\(731\) | 250007. | − | 851447.i | 0.467863 | − | 1.59339i | ||||
\(732\) | −586281. | − | 4225.05i | −1.09417 | − | 0.00788515i | ||||
\(733\) | −105893. | − | 736502.i | −0.197088 | − | 1.37078i | −0.812680 | − | 0.582710i | \(-0.801992\pi\) |
0.615592 | − | 0.788065i | \(-0.288917\pi\) | |||||||
\(734\) | 41747.9 | − | 64961.1i | 0.0774895 | − | 0.120576i | ||||
\(735\) | 265478. | + | 123560.i | 0.491422 | + | 0.228719i | ||||
\(736\) | −130596. | − | 492913.i | −0.241087 | − | 0.909943i | ||||
\(737\) | 116059.i | 0.213669i | ||||||||
\(738\) | 39743.5 | + | 307858.i | 0.0729716 | + | 0.565246i | ||||
\(739\) | −47765.7 | − | 332218.i | −0.0874636 | − | 0.608323i | −0.985662 | − | 0.168732i | \(-0.946033\pi\) |
0.898198 | − | 0.439590i | \(-0.144876\pi\) | |||||||
\(740\) | 82876.6 | − | 37848.5i | 0.151345 | − | 0.0691170i | ||||
\(741\) | 61335.7 | − | 69762.9i | 0.111706 | − | 0.127054i | ||||
\(742\) | −115350. | + | 252581.i | −0.209512 | + | 0.458768i | ||||
\(743\) | −774454. | − | 671068.i | −1.40287 | − | 1.21560i | −0.945207 | − | 0.326471i | \(-0.894141\pi\) |
−0.457665 | − | 0.889125i | \(-0.651314\pi\) | |||||||
\(744\) | 76064.2 | − | 116504.i | 0.137415 | − | 0.210472i | ||||
\(745\) | −237395. | + | 69705.5i | −0.427720 | + | 0.125590i | ||||
\(746\) | 35531.8 | − | 30788.5i | 0.0638468 | − | 0.0553236i | ||||
\(747\) | −90860.6 | + | 293715.i | −0.162830 | + | 0.526362i | ||||
\(748\) | −67156.5 | + | 43158.8i | −0.120029 | + | 0.0771377i | ||||
\(749\) | −150925. | + | 130778.i | −0.269029 | + | 0.233115i | ||||
\(750\) | −35590.4 | + | 235477.i | −0.0632718 | + | 0.418626i | ||||
\(751\) | 129286. | − | 899205.i | 0.229230 | − | 1.59433i | −0.472132 | − | 0.881528i | \(-0.656516\pi\) |
0.701363 | − | 0.712805i | \(-0.252575\pi\) | |||||||
\(752\) | 111697. | + | 96786.0i | 0.197518 | + | 0.171150i | ||||
\(753\) | 558405. | − | 476859.i | 0.984826 | − | 0.841007i | ||||
\(754\) | −526355. | − | 154552.i | −0.925841 | − | 0.271851i | ||||
\(755\) | −545081. | + | 248930.i | −0.956240 | + | 0.436700i | ||||
\(756\) | 249276. | + | 578623.i | 0.436150 | + | 1.01240i | ||||
\(757\) | 4469.60 | + | 2872.44i | 0.00779968 | + | 0.00501255i | 0.544535 | − | 0.838738i | \(-0.316706\pi\) |
−0.536735 | + | 0.843751i | \(0.680343\pi\) | |||||||
\(758\) | 173566.i | 0.302083i | ||||||||
\(759\) | 21215.1 | + | 82468.9i | 0.0368266 | + | 0.143155i | ||||
\(760\) | 31373.4 | 0.0543169 | ||||||||
\(761\) | −22456.5 | + | 34943.0i | −0.0387768 | + | 0.0603379i | −0.860101 | − | 0.510124i | \(-0.829599\pi\) |
0.821324 | + | 0.570462i | \(0.193236\pi\) | |||||||
\(762\) | −32081.4 | + | 106416.i | −0.0552514 | + | 0.183273i | ||||
\(763\) | 313570. | + | 686622.i | 0.538623 | + | 1.17942i | ||||
\(764\) | −35110.9 | + | 119577.i | −0.0601527 | + | 0.204861i | ||||
\(765\) | 504613. | − | 140301.i | 0.862254 | − | 0.239738i | ||||
\(766\) | 201354. | − | 232375.i | 0.343165 | − | 0.396034i | ||||
\(767\) | 305964. | + | 43990.9i | 0.520091 | + | 0.0747778i | ||||
\(768\) | 17331.9 | − | 114673.i | 0.0293849 | − | 0.194420i | ||||
\(769\) | 163959. | + | 189219.i | 0.277257 | + | 0.319972i | 0.877250 | − | 0.480033i | \(-0.159375\pi\) |
−0.599993 | + | 0.800005i | \(0.704830\pi\) | |||||||
\(770\) | 18871.8 | + | 29365.2i | 0.0318297 | + | 0.0495280i | ||||
\(771\) | −344797. | + | 47040.8i | −0.580036 | + | 0.0791345i | ||||
\(772\) | 66519.7 | + | 76767.8i | 0.111613 | + | 0.128809i | ||||
\(773\) | −279249. | − | 951033.i | −0.467339 | − | 1.59161i | −0.769693 | − | 0.638414i | \(-0.779591\pi\) |
0.302354 | − | 0.953196i | \(-0.402228\pi\) | |||||||
\(774\) | −180021. | − | 289199.i | −0.300498 | − | 0.482742i | ||||
\(775\) | −52383.2 | + | 60453.5i | −0.0872145 | + | 0.100651i | ||||
\(776\) | 90687.9 | + | 41415.8i | 0.150600 | + | 0.0687769i | ||||
\(777\) | 129247. | − | 147005.i | 0.214081 | − | 0.243495i | ||||
\(778\) | 96947.1 | + | 212285.i | 0.160168 | + | 0.350719i | ||||
\(779\) | −84254.2 | + | 12113.9i | −0.138841 | + | 0.0199623i | ||||
\(780\) | −382643. | − | 604945.i | −0.628933 | − | 0.994322i | ||||
\(781\) | 112577. | 0.184564 | ||||||||
\(782\) | −231969. | + | 140502.i | −0.379329 | + | 0.229758i | ||||
\(783\) | 224556. | + | 830803.i | 0.366270 | + | 1.35511i | ||||
\(784\) | 202262. | + | 129986.i | 0.329066 | + | 0.211478i | ||||
\(785\) | 375903. | − | 54046.7i | 0.610009 | − | 0.0877061i | ||||
\(786\) | 43690.3 | + | 314.856i | 0.0707197 | + | 0.000509643i | ||||
\(787\) | −714404. | − | 209768.i | −1.15344 | − | 0.338680i | −0.351559 | − | 0.936166i | \(-0.614348\pi\) |
−0.801880 | + | 0.597485i | \(0.796167\pi\) | |||||||
\(788\) | 350905. | + | 160253.i | 0.565115 | + | 0.258079i | ||||
\(789\) | −987346. | + | 442335.i | −1.58604 | + | 0.710554i | ||||
\(790\) | 10377.3 | − | 72175.4i | 0.0166275 | − | 0.115647i | ||||
\(791\) | 299777. | + | 1.02095e6i | 0.479121 | + | 1.63174i | ||||
\(792\) | −10454.9 | + | 65952.7i | −0.0166674 | + | 0.105143i | ||||
\(793\) | 1.20391e6 | − | 773705.i | 1.91446 | − | 1.23035i | ||||
\(794\) | 216990. | + | 337643.i | 0.344190 | + | 0.535571i | ||||
\(795\) | −475866. | + | 136010.i | −0.752923 | + | 0.215197i | ||||
\(796\) | 309911. | − | 90998.0i | 0.489114 | − | 0.143617i | ||||
\(797\) | 305382. | + | 43907.3i | 0.480759 | + | 0.0691226i | 0.378434 | − | 0.925628i | \(-0.376463\pi\) |
0.102325 | + | 0.994751i | \(0.467372\pi\) | |||||||
\(798\) | 28229.1 | − | 12646.8i | 0.0443294 | − | 0.0198597i | ||||
\(799\) | 138997. | − | 304361.i | 0.217727 | − | 0.476756i | ||||
\(800\) | −64767.8 | + | 220579.i | −0.101200 | + | 0.344654i | ||||
\(801\) | −1.00516e6 | − | 476667.i | −1.56664 | − | 0.742933i | ||||
\(802\) | −12983.9 | − | 90304.7i | −0.0201862 | − | 0.140398i | ||||
\(803\) | −49721.5 | + | 77368.1i | −0.0771104 | + | 0.119986i | ||||
\(804\) | 334406. | − | 718499.i | 0.517323 | − | 1.11151i | ||||
\(805\) | −343140. | − | 566523.i | −0.529516 | − | 0.874231i | ||||
\(806\) | 155856.i | 0.239913i | ||||||||
\(807\) | 116352. | + | 183949.i | 0.178660 | + | 0.282455i | ||||
\(808\) | −53213.1 | − | 370105.i | −0.0815072 | − | 0.566895i | ||||
\(809\) | −998321. | + | 455918.i | −1.52536 | + | 0.696610i | −0.989073 | − | 0.147425i | \(-0.952902\pi\) |
−0.536289 | + | 0.844034i | \(0.680174\pi\) | |||||||
\(810\) | 88759.2 | − | 180406.i | 0.135283 | − | 0.274967i | ||||
\(811\) | −268293. | + | 587481.i | −0.407914 | + | 0.893206i | 0.588492 | + | 0.808503i | \(0.299722\pi\) |
−0.996406 | + | 0.0847038i | \(0.973006\pi\) | |||||||
\(812\) | 771074. | + | 668139.i | 1.16946 | + | 1.01334i | ||||
\(813\) | 32317.3 | + | 21099.7i | 0.0488937 | + | 0.0319223i | ||||
\(814\) | 9135.23 | − | 2682.34i | 0.0137870 | − | 0.00404824i | ||||
\(815\) | 442214. | − | 383180.i | 0.665759 | − | 0.576883i | ||||
\(816\) | 426093. | − | 58132.1i | 0.639918 | − | 0.0873043i | ||||
\(817\) | 78583.8 | − | 50502.7i | 0.117730 | − | 0.0756608i | ||||
\(818\) | −196003. | + | 169837.i | −0.292924 | + | 0.253820i | ||||
\(819\) | −1.28160e6 | − | 849983.i | −1.91067 | − | 1.26719i | ||||
\(820\) | −93347.0 | + | 649243.i | −0.138827 | + | 0.965560i | ||||
\(821\) | −379422. | − | 328771.i | −0.562907 | − | 0.487762i | 0.326300 | − | 0.945266i | \(-0.394198\pi\) |
−0.889207 | + | 0.457505i | \(0.848743\pi\) | |||||||
\(822\) | 132866. | + | 155587.i | 0.196639 | + | 0.230265i | ||||
\(823\) | −341529. | − | 100282.i | −0.504229 | − | 0.148055i | 0.0197184 | − | 0.999806i | \(-0.493723\pi\) |
−0.523948 | + | 0.851751i | \(0.675541\pi\) | |||||||
\(824\) | −460217. | + | 210174.i | −0.677810 | + | 0.309546i | ||||
\(825\) | 11081.0 | − | 36756.6i | 0.0162807 | − | 0.0540042i | ||||
\(826\) | 86592.0 | + | 55649.3i | 0.126916 | + | 0.0815642i | ||||
\(827\) | − | 602506.i | − | 0.880948i | −0.897765 | − | 0.440474i | \(-0.854810\pi\) | ||
0.897765 | − | 0.440474i | \(-0.145190\pi\) | |||||||
\(828\) | 106283. | − | 571679.i | 0.155026 | − | 0.833857i | ||||
\(829\) | −1.22715e6 | −1.78562 | −0.892811 | − | 0.450431i | \(-0.851270\pi\) | ||||
−0.892811 | + | 0.450431i | \(0.851270\pi\) | |||||||
\(830\) | 62885.0 | − | 97851.0i | 0.0912832 | − | 0.142040i | ||||
\(831\) | 790639. | + | 238355.i | 1.14492 | + | 0.345161i | ||||
\(832\) | −101791. | − | 222891.i | −0.147049 | − | 0.321992i | ||||
\(833\) | 153351. | − | 522264.i | 0.221002 | − | 0.752663i | ||||
\(834\) | 53730.0 | − | 45883.5i | 0.0772475 | − | 0.0659667i | ||||
\(835\) | 58886.4 | − | 67958.6i | 0.0844583 | − | 0.0974701i | ||||
\(836\) | −8317.79 | − | 1195.92i | −0.0119013 | − | 0.00171115i | ||||
\(837\) | 208504. | − | 127714.i | 0.297621 | − | 0.182301i | ||||
\(838\) | 174713. | + | 201630.i | 0.248793 | + | 0.287122i | ||||
\(839\) | 129506. | + | 201516.i | 0.183979 | + | 0.286276i | 0.920976 | − | 0.389619i | \(-0.127393\pi\) |
−0.736997 | + | 0.675896i | \(0.763757\pi\) | |||||||
\(840\) | −70210.8 | − | 514627.i | −0.0995051 | − | 0.729347i | ||||
\(841\) | 449495. | + | 518745.i | 0.635526 | + | 0.733436i | ||||
\(842\) | −129513. | − | 441082.i | −0.182680 | − | 0.622150i | ||||
\(843\) | −451995. | + | 692297.i | −0.636031 | + | 0.974175i | ||||
\(844\) | 583968. | − | 673935.i | 0.819793 | − | 0.946091i | ||||
\(845\) | 1.07855e6 | + | 492557.i | 1.51052 | + | 0.689832i | ||||
\(846\) | −51668.7 | − | 117595.i | −0.0721917 | − | 0.164304i | ||||
\(847\) | 378883. | + | 829638.i | 0.528127 | + | 1.15644i | ||||
\(848\) | −402231. | + | 57832.0i | −0.559350 | + | 0.0804223i | ||||
\(849\) | 305431. | − | 193193.i | 0.423738 | − | 0.268025i | ||||
\(850\) | 122268. | 0.169229 | ||||||||
\(851\) | −174631. | + | 46268.0i | −0.241136 | + | 0.0638883i | ||||
\(852\) | −696944. | − | 324374.i | −0.960105 | − | 0.446855i | ||||
\(853\) | −902415. | − | 579947.i | −1.24025 | − | 0.797058i | −0.254792 | − | 0.966996i | \(-0.582007\pi\) |
−0.985455 | + | 0.169937i | \(0.945643\pi\) | |||||||
\(854\) | 471695. | − | 67819.5i | 0.646764 | − | 0.0929906i | ||||
\(855\) | 49816.1 | + | 23623.8i | 0.0681456 | + | 0.0323160i | ||||
\(856\) | 138679. | + | 40719.7i | 0.189261 | + | 0.0555722i | ||||
\(857\) | 1.26530e6 | + | 577844.i | 1.72279 | + | 0.786773i | 0.994876 | + | 0.101107i | \(0.0322384\pi\) |
0.727916 | + | 0.685666i | \(0.240489\pi\) | |||||||
\(858\) | −30582.2 | − | 68263.2i | −0.0415426 | − | 0.0927282i | ||||
\(859\) | −145480. | + | 1.01184e6i | −0.197159 | + | 1.37127i | 0.615318 | + | 0.788279i | \(0.289028\pi\) |
−0.812477 | + | 0.582993i | \(0.801882\pi\) | |||||||
\(860\) | −202796. | − | 690658.i | −0.274196 | − | 0.933827i | ||||
\(861\) | 387261. | + | 1.35493e6i | 0.522393 | + | 1.82773i | ||||
\(862\) | −312038. | + | 200534.i | −0.419945 | + | 0.269882i | ||||
\(863\) | −79900.0 | − | 124327.i | −0.107282 | − | 0.166934i | 0.783462 | − | 0.621440i | \(-0.213452\pi\) |
−0.890743 | + | 0.454506i | \(0.849816\pi\) | |||||||
\(864\) | 392602. | − | 582803.i | 0.525927 | − | 0.780718i | ||||
\(865\) | 321711. | − | 94463.0i | 0.429966 | − | 0.126249i | ||||
\(866\) | 273903. | + | 39381.4i | 0.365226 | + | 0.0525116i | ||||
\(867\) | −90718.3 | − | 202495.i | −0.120686 | − | 0.269386i | ||||
\(868\) | 120417. | − | 263676.i | 0.159826 | − | 0.349970i | ||||
\(869\) | −11990.1 | + | 40834.6i | −0.0158776 | + | 0.0540741i | ||||
\(870\) | 2346.34 | − | 325585.i | 0.00309994 | − | 0.430156i | ||||
\(871\) | 275298. | + | 1.91474e6i | 0.362883 | + | 2.52391i | ||||
\(872\) | 295355. | − | 459581.i | 0.388429 | − | 0.604407i | ||||
\(873\) | 112813. | + | 134049.i | 0.148023 | + | 0.175887i | ||||
\(874\) | −28139.8 | − | 4813.08i | −0.0368382 | − | 0.00630087i | ||||
\(875\) | 1.08114e6i | 1.41211i | ||||||||
\(876\) | 530742. | − | 335708.i | 0.691632 | − | 0.437475i | ||||
\(877\) | −167342. | − | 1.16389e6i | −0.217574 | − | 1.51326i | −0.746954 | − | 0.664875i | \(-0.768485\pi\) |
0.529380 | − | 0.848385i | \(-0.322424\pi\) | |||||||
\(878\) | 229499. | − | 104809.i | 0.297709 | − | 0.135959i | ||||
\(879\) | −332246. | − | 292111.i | −0.430013 | − | 0.378068i | ||||
\(880\) | −21221.2 | + | 46468.1i | −0.0274035 | + | 0.0600052i | ||||
\(881\) | 688842. | + | 596885.i | 0.887499 | + | 0.769022i | 0.973838 | − | 0.227244i | \(-0.0729714\pi\) |
−0.0863392 | + | 0.996266i | \(0.527517\pi\) | |||||||
\(882\) | −110422. | − | 177390.i | −0.141945 | − | 0.228030i | ||||
\(883\) | −470234. | + | 138073.i | −0.603105 | + | 0.177088i | −0.569009 | − | 0.822331i | \(-0.692673\pi\) |
−0.0340956 | + | 0.999419i | \(0.510855\pi\) | |||||||
\(884\) | −1.00557e6 | + | 871335.i | −1.28680 | + | 1.11502i | ||||
\(885\) | 24800.4 | + | 181781.i | 0.0316644 | + | 0.232092i | ||||
\(886\) | 5175.47 | − | 3326.07i | 0.00659298 | − | 0.00423705i | ||||
\(887\) | −859715. | + | 744947.i | −1.09272 | + | 0.946843i | −0.998812 | − | 0.0487381i | \(-0.984480\pi\) |
−0.0939037 | + | 0.995581i | \(0.529935\pi\) | |||||||
\(888\) | −140076. | − | 21171.3i | −0.177639 | − | 0.0268486i | ||||
\(889\) | −71808.8 | + | 499441.i | −0.0908603 | + | 0.631947i | ||||
\(890\) | 318074. | + | 275612.i | 0.401557 | + | 0.347951i | ||||
\(891\) | −66262.2 | + | 96850.1i | −0.0834661 | + | 0.121996i | ||||
\(892\) | −189915. | − | 55764.2i | −0.238688 | − | 0.0700851i | ||||
\(893\) | 32039.1 | − | 14631.7i | 0.0401769 | − | 0.0183482i | ||||
\(894\) | 169036. | + | 50959.3i | 0.211497 | + | 0.0637601i | ||||
\(895\) | 465660. | + | 299262.i | 0.581330 | + | 0.373598i | ||||
\(896\) | − | 1.06382e6i | − | 1.32512i | ||||||
\(897\) | 545629. | + | 1.31025e6i | 0.678129 | + | 1.62843i | ||||
\(898\) | 430508. | 0.533861 | ||||||||
\(899\) | 214071. | − | 333101.i | 0.264874 | − | 0.412151i | ||||
\(900\) | −174510. | + | 195626.i | −0.215444 | + | 0.241513i | ||||
\(901\) | 382174. | + | 836844.i | 0.470773 | + | 1.03085i | ||||
\(902\) | −19310.7 | + | 65766.3i | −0.0237348 | + | 0.0808333i | ||||
\(903\) | −1.00427e6 | − | 1.17601e6i | −1.23162 | − | 1.44223i | ||||
\(904\) | 504306. | − | 582000.i | 0.617102 | − | 0.712174i | ||||
\(905\) | −568481. | − | 81735.2i | −0.694095 | − | 0.0997957i | ||||
\(906\) | 422793. | + | 63901.6i | 0.515076 | + | 0.0778494i | ||||
\(907\) | −467130. | − | 539097.i | −0.567836 | − | 0.655318i | 0.397108 | − | 0.917772i | \(-0.370014\pi\) |
−0.964945 | + | 0.262454i | \(0.915468\pi\) | |||||||
\(908\) | 636058. | + | 989726.i | 0.771481 | + | 1.20045i | ||||
\(909\) | 194190. | − | 627738.i | 0.235017 | − | 0.759715i | ||||
\(910\) | 381004. | + | 439702.i | 0.460094 | + | 0.530977i | ||||
\(911\) | −131503. | − | 447859.i | −0.158453 | − | 0.539641i | 0.841547 | − | 0.540184i | \(-0.181645\pi\) |
−1.00000 | 0.000543113i | \(0.999827\pi\) | ||||||||
\(912\) | 37905.2 | + | 24748.0i | 0.0455732 | + | 0.0297543i | ||||
\(913\) | −44457.2 | + | 51306.3i | −0.0533335 | + | 0.0615502i | ||||
\(914\) | −111656. | − | 50991.6i | −0.133656 | − | 0.0610388i | ||||
\(915\) | 637899. | + | 560842.i | 0.761921 | + | 0.669882i | ||||
\(916\) | 477080. | + | 1.04466e6i | 0.568591 | + | 1.24504i | ||||
\(917\) | 196329. | − | 28227.8i | 0.233478 | − | 0.0335690i | ||||
\(918\) | −356237. | − | 113021.i | −0.422721 | − | 0.134114i | ||||
\(919\) | −452430. | −0.535699 | −0.267849 | − | 0.963461i | \(-0.586313\pi\) | ||||
−0.267849 | + | 0.963461i | \(0.586313\pi\) | |||||||
\(920\) | −210663. | + | 430592.i | −0.248892 | + | 0.508734i | ||||
\(921\) | −384941. | + | 827077.i | −0.453810 | + | 0.975049i | ||||
\(922\) | −255616. | − | 164274.i | −0.300694 | − | 0.193245i | ||||
\(923\) | 1.85730e6 | − | 267039.i | 2.18011 | − | 0.313452i | ||||
\(924\) | −1002.54 | + | 139115.i | −0.00117424 | + | 0.162941i | ||||
\(925\) | 78147.4 | + | 22946.1i | 0.0913337 | + | 0.0268180i | ||||
\(926\) | 115737. | + | 52855.2i | 0.134974 | + | 0.0616404i | ||||
\(927\) | −889011. | − | 12814.0i | −1.03454 | − | 0.0149117i | ||||
\(928\) | 161949. | − | 1.12638e6i | 0.188054 | − | 1.30794i | ||||
\(929\) | 170361. | + | 580197.i | 0.197397 | + | 0.672271i | 0.997386 | + | 0.0722570i | \(0.0230202\pi\) |
−0.799989 | + | 0.600014i | \(0.795162\pi\) | |||||||
\(930\) | −88942.8 | + | 25421.2i | −0.102836 | + | 0.0293921i | ||||
\(931\) | 48202.1 | − | 30977.6i | 0.0556117 | − | 0.0357395i | ||||
\(932\) | −709467. | − | 1.10395e6i | −0.816771 | − | 1.27092i | ||||
\(933\) | −282957. | − | 989999.i | −0.325055 | − | 1.13729i | ||||
\(934\) | 72114.7 | − | 21174.8i | 0.0826666 | − | 0.0242731i | ||||
\(935\) | 114474. | + | 16458.8i | 0.130943 | + | 0.0188268i | ||||
\(936\) | −16041.0 | + | 1.11289e6i | −0.0183096 | + | 1.27028i | ||||
\(937\) | −239956. | + | 525430.i | −0.273308 | + | 0.598461i | −0.995660 | − | 0.0930643i | \(-0.970334\pi\) |
0.722352 | + | 0.691526i | \(0.243061\pi\) | |||||||
\(938\) | −181479. | + | 618062.i | −0.206263 | + | 0.702468i | ||||
\(939\) | −398549. | − | 2872.15i | −0.452012 | − | 0.00325744i | ||||
\(940\) | −38626.0 | − | 268650.i | −0.0437143 | − | 0.304040i | ||||
\(941\) | −453726. | + | 706011.i | −0.512406 | + | 0.797320i | −0.996999 | − | 0.0774205i | \(-0.975332\pi\) |
0.484592 | + | 0.874740i | \(0.338968\pi\) | |||||||
\(942\) | −245685. | − | 114348.i | −0.276871 | − | 0.128862i | ||||
\(943\) | 399479. | − | 1.23771e6i | 0.449232 | − | 1.39186i | ||||
\(944\) | 150638.i | 0.169040i | ||||||||
\(945\) | 276024. | − | 870015.i | 0.309089 | − | 0.974234i | ||||
\(946\) | −10704.9 | − | 74454.3i | −0.0119619 | − | 0.0831969i | ||||
\(947\) | 1.29667e6 | − | 592171.i | 1.44588 | − | 0.660309i | 0.470812 | − | 0.882234i | \(-0.343961\pi\) |
0.975064 | + | 0.221924i | \(0.0712337\pi\) | |||||||
\(948\) | 191888. | − | 218252.i | 0.213516 | − | 0.242852i | ||||
\(949\) | −636785. | + | 1.39436e6i | −0.707066 | + | 1.54826i | ||||
\(950\) | 9727.04 | + | 8428.53i | 0.0107779 | + | 0.00933909i | ||||
\(951\) | 120779. | − | 184991.i | 0.133546 | − | 0.204545i | ||||
\(952\) | −926364. | + | 272005.i | −1.02213 | + | 0.300126i | ||||
\(953\) | −544535. | + | 471842.i | −0.599570 | + | 0.519530i | −0.900921 | − | 0.433983i | \(-0.857108\pi\) |
0.301351 | + | 0.953513i | \(0.402562\pi\) | |||||||
\(954\) | 337387. | + | 104371.i | 0.370708 | + | 0.114678i | ||||
\(955\) | 151887. | − | 97611.8i | 0.166538 | − | 0.107027i | ||||
\(956\) | −906888. | + | 785823.i | −0.992288 | + | 0.859823i | ||||
\(957\) | −28399.4 | + | 187900.i | −0.0310089 | + | 0.205164i | ||||
\(958\) | 42042.9 | − | 292415.i | 0.0458102 | − | 0.318617i | ||||
\(959\) | 701956. | + | 608249.i | 0.763261 | + | 0.661369i | ||||
\(960\) | 110595. | − | 94444.4i | 0.120003 | − | 0.102479i | ||||
\(961\) | 778173. | + | 228492.i | 0.842616 | + | 0.247414i | ||||
\(962\) | 144351. | − | 65922.7i | 0.155980 | − | 0.0712336i | ||||
\(963\) | 189539. | + | 169080.i | 0.204383 | + | 0.182322i | ||||
\(964\) | −242551. | − | 155878.i | −0.261005 | − | 0.167738i | ||||
\(965\) | − | 147160.i | − | 0.158028i | ||||||
\(966\) | −15976.0 | + | 472356.i | −0.0171204 | + | 0.506192i | ||||
\(967\) | −42685.0 | −0.0456480 | −0.0228240 | − | 0.999739i | \(-0.507266\pi\) | ||||
−0.0228240 | + | 0.999739i | \(0.507266\pi\) | |||||||
\(968\) | 356874. | − | 555307.i | 0.380859 | − | 0.592628i | ||||
\(969\) | 29581.2 | − | 98122.9i | 0.0315042 | − | 0.104502i | ||||
\(970\) | −27535.2 | − | 60293.7i | −0.0292648 | − | 0.0640809i | ||||
\(971\) | 386387. | − | 1.31591e6i | 0.409812 | − | 1.39569i | −0.453607 | − | 0.891202i | \(-0.649863\pi\) |
0.863419 | − | 0.504488i | \(-0.168319\pi\) | |||||||
\(972\) | 689278. | − | 408658.i | 0.729561 | − | 0.432541i | ||||
\(973\) | 210051. | − | 242412.i | 0.221871 | − | 0.256052i | ||||
\(974\) | −382987. | − | 55065.2i | −0.403707 | − | 0.0580443i | ||||
\(975\) | 95626.7 | − | 632697.i | 0.100594 | − | 0.665559i | ||||
\(976\) | 456706. | + | 527067.i | 0.479443 | + | 0.553307i | ||||
\(977\) | −755122. | − | 1.17499e6i | −0.791094 | − | 1.23097i | −0.969035 | − | 0.246925i | \(-0.920580\pi\) |
0.177941 | − | 0.984041i | \(-0.443057\pi\) | |||||||
\(978\) | −413701. | + | 56441.5i | −0.432523 | + | 0.0590093i | ||||
\(979\) | −160862. | − | 185644.i | −0.167837 | − | 0.193694i | ||||
\(980\) | −124392. | − | 423639.i | −0.129521 | − | 0.441107i | ||||
\(981\) | 815036. | − | 507345.i | 0.846913 | − | 0.527187i | ||||
\(982\) | 417546. | − | 481874.i | 0.432993 | − | 0.499701i | ||||
\(983\) | −1.00584e6 | − | 459353.i | −1.04093 | − | 0.475378i | −0.179771 | − | 0.983709i | \(-0.557536\pi\) |
−0.861162 | + | 0.508330i | \(0.830263\pi\) | |||||||
\(984\) | 673423. | − | 765948.i | 0.695501 | − | 0.791060i | ||||
\(985\) | −232164. | − | 508367.i | −0.239288 | − | 0.523969i | ||||
\(986\) | −599067. | + | 86132.9i | −0.616200 | + | 0.0885962i | ||||
\(987\) | −311709. | − | 492801.i | −0.319974 | − | 0.505868i | ||||
\(988\) | −140064. | −0.143487 | ||||||||
\(989\) | 165472. | + | 1.41765e6i | 0.169174 | + | 1.44936i | ||||
\(990\) | 33967.8 | − | 28586.6i | 0.0346575 | − | 0.0291671i | ||||
\(991\) | −1.46720e6 | − | 942915.i | −1.49398 | − | 0.960119i | −0.995654 | − | 0.0931268i | \(-0.970314\pi\) |
−0.498321 | − | 0.866993i | \(-0.666050\pi\) | |||||||
\(992\) | −320015. | + | 46011.3i | −0.325198 | + | 0.0467564i | ||||
\(993\) | −517692. | − | 3730.76i | −0.525017 | − | 0.00378355i | ||||
\(994\) | 599520. | + | 176035.i | 0.606780 | + | 0.178167i | ||||
\(995\) | −425646. | − | 194386.i | −0.429935 | − | 0.196345i | ||||
\(996\) | 423059. | − | 189532.i | 0.426463 | − | 0.191057i | ||||
\(997\) | −109562. | + | 762020.i | −0.110222 | + | 0.766613i | 0.857480 | + | 0.514517i | \(0.172029\pi\) |
−0.967702 | + | 0.252096i | \(0.918880\pi\) | |||||||
\(998\) | −21162.6 | − | 72073.2i | −0.0212475 | − | 0.0723623i | ||||
\(999\) | −206478. | − | 139092.i | −0.206891 | − | 0.139371i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 69.5.h.a.2.18 | yes | 300 | |
3.2 | odd | 2 | inner | 69.5.h.a.2.13 | ✓ | 300 | |
23.12 | even | 11 | inner | 69.5.h.a.35.13 | yes | 300 | |
69.35 | odd | 22 | inner | 69.5.h.a.35.18 | yes | 300 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.5.h.a.2.13 | ✓ | 300 | 3.2 | odd | 2 | inner | |
69.5.h.a.2.18 | yes | 300 | 1.1 | even | 1 | trivial | |
69.5.h.a.35.13 | yes | 300 | 23.12 | even | 11 | inner | |
69.5.h.a.35.18 | yes | 300 | 69.35 | odd | 22 | inner |