Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,6,Mod(7,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.7");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.d (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.65113077458\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 16.7 | ||
Character | \(\chi\) | \(=\) | 29.16 |
Dual form | 29.6.d.a.20.7 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.69866 | + | 0.818031i | 0.300283 | + | 0.144609i | 0.577958 | − | 0.816066i | \(-0.303850\pi\) |
−0.277675 | + | 0.960675i | \(0.589564\pi\) | |||||||
\(3\) | 5.27812 | − | 6.61856i | 0.338592 | − | 0.424581i | −0.583162 | − | 0.812356i | \(-0.698185\pi\) |
0.921754 | + | 0.387775i | \(0.126756\pi\) | |||||||
\(4\) | −17.7354 | − | 22.2395i | −0.554231 | − | 0.694984i | ||||
\(5\) | −69.8948 | − | 33.6596i | −1.25032 | − | 0.602121i | −0.312720 | − | 0.949845i | \(-0.601240\pi\) |
−0.937597 | + | 0.347725i | \(0.886954\pi\) | |||||||
\(6\) | 14.3799 | − | 6.92500i | 0.163071 | − | 0.0785311i | ||||
\(7\) | 10.7481 | − | 13.4777i | 0.0829060 | − | 0.103961i | −0.738649 | − | 0.674091i | \(-0.764536\pi\) |
0.821555 | + | 0.570130i | \(0.193107\pi\) | |||||||
\(8\) | −25.3589 | − | 111.105i | −0.140089 | − | 0.613772i | ||||
\(9\) | 38.1259 | + | 167.040i | 0.156897 | + | 0.687409i | ||||
\(10\) | −91.1929 | − | 114.352i | −0.288377 | − | 0.361613i | ||||
\(11\) | 117.034 | − | 512.758i | 0.291628 | − | 1.27770i | −0.590632 | − | 0.806941i | \(-0.701121\pi\) |
0.882260 | − | 0.470763i | \(-0.156021\pi\) | |||||||
\(12\) | −240.803 | −0.482735 | ||||||||
\(13\) | 61.6907 | − | 270.284i | 0.101242 | − | 0.443570i | −0.898745 | − | 0.438472i | \(-0.855520\pi\) |
0.999987 | − | 0.00509864i | \(-0.00162295\pi\) | |||||||
\(14\) | 29.2825 | − | 14.1017i | 0.0399289 | − | 0.0192288i | ||||
\(15\) | −591.691 | + | 284.943i | −0.678996 | + | 0.326987i | ||||
\(16\) | −154.739 | + | 677.957i | −0.151113 | + | 0.662068i | ||||
\(17\) | 1485.03 | 1.24627 | 0.623135 | − | 0.782114i | \(-0.285859\pi\) | ||||
0.623135 | + | 0.782114i | \(0.285859\pi\) | |||||||
\(18\) | −71.8813 | + | 314.933i | −0.0522920 | + | 0.229106i | ||||
\(19\) | −231.628 | − | 290.453i | −0.147200 | − | 0.184583i | 0.702765 | − | 0.711422i | \(-0.251948\pi\) |
−0.849965 | + | 0.526839i | \(0.823377\pi\) | |||||||
\(20\) | 491.041 | + | 2151.39i | 0.274500 | + | 1.20266i | ||||
\(21\) | −32.4730 | − | 142.274i | −0.0160685 | − | 0.0704005i | ||||
\(22\) | 618.252 | − | 775.263i | 0.272338 | − | 0.341501i | ||||
\(23\) | −1786.39 | + | 860.281i | −0.704137 | + | 0.339094i | −0.751454 | − | 0.659786i | \(-0.770647\pi\) |
0.0473172 | + | 0.998880i | \(0.484933\pi\) | |||||||
\(24\) | −869.199 | − | 418.584i | −0.308029 | − | 0.148339i | ||||
\(25\) | 1803.91 | + | 2262.04i | 0.577252 | + | 0.723851i | ||||
\(26\) | 325.892 | − | 408.656i | 0.0945455 | − | 0.118556i | ||||
\(27\) | 3160.19 | + | 1521.87i | 0.834264 | + | 0.401760i | ||||
\(28\) | −490.358 | −0.118200 | ||||||||
\(29\) | 3807.75 | − | 2451.98i | 0.840762 | − | 0.541405i | ||||
\(30\) | −1238.17 | −0.251176 | ||||||||
\(31\) | −3776.10 | − | 1818.47i | −0.705731 | − | 0.339862i | 0.0463572 | − | 0.998925i | \(-0.485239\pi\) |
−0.752088 | + | 0.659063i | \(0.770953\pi\) | |||||||
\(32\) | −3091.17 | + | 3876.20i | −0.533639 | + | 0.669162i | ||||
\(33\) | −2776.00 | − | 3480.99i | −0.443746 | − | 0.556440i | ||||
\(34\) | 2522.55 | + | 1214.80i | 0.374234 | + | 0.180222i | ||||
\(35\) | −1204.89 | + | 580.243i | −0.166256 | + | 0.0800645i | ||||
\(36\) | 3038.72 | − | 3810.43i | 0.390781 | − | 0.490024i | ||||
\(37\) | −2986.26 | − | 13083.7i | −0.358611 | − | 1.57118i | −0.756657 | − | 0.653812i | \(-0.773169\pi\) |
0.398046 | − | 0.917366i | \(-0.369689\pi\) | |||||||
\(38\) | −155.858 | − | 682.859i | −0.0175094 | − | 0.0767136i | ||||
\(39\) | −1463.28 | − | 1834.90i | −0.154052 | − | 0.193175i | ||||
\(40\) | −1967.28 | + | 8619.20i | −0.194409 | + | 0.851760i | ||||
\(41\) | −2200.85 | −0.204471 | −0.102235 | − | 0.994760i | \(-0.532600\pi\) | ||||
−0.102235 | + | 0.994760i | \(0.532600\pi\) | |||||||
\(42\) | 61.2236 | − | 268.238i | 0.00535545 | − | 0.0234637i | ||||
\(43\) | 3897.78 | − | 1877.07i | 0.321475 | − | 0.154814i | −0.266186 | − | 0.963922i | \(-0.585763\pi\) |
0.587660 | + | 0.809108i | \(0.300049\pi\) | |||||||
\(44\) | −13479.1 | + | 6491.20i | −1.04961 | + | 0.505467i | ||||
\(45\) | 2957.71 | − | 12958.6i | 0.217733 | − | 0.953950i | ||||
\(46\) | −3738.20 | −0.260476 | ||||||||
\(47\) | 4690.03 | − | 20548.4i | 0.309693 | − | 1.35685i | −0.545313 | − | 0.838233i | \(-0.683589\pi\) |
0.855005 | − | 0.518619i | \(-0.173554\pi\) | |||||||
\(48\) | 3670.37 | + | 4602.49i | 0.229936 | + | 0.288330i | ||||
\(49\) | 3673.78 | + | 16095.9i | 0.218586 | + | 0.957690i | ||||
\(50\) | 1213.82 | + | 5318.08i | 0.0686639 | + | 0.300836i | ||||
\(51\) | 7838.16 | − | 9828.74i | 0.421977 | − | 0.529142i | ||||
\(52\) | −7105.10 | + | 3421.63i | −0.364386 | + | 0.175479i | ||||
\(53\) | 27308.5 | + | 13151.1i | 1.33539 | + | 0.643091i | 0.959010 | − | 0.283373i | \(-0.0914535\pi\) |
0.376383 | + | 0.926464i | \(0.377168\pi\) | |||||||
\(54\) | 4123.14 | + | 5170.26i | 0.192417 | + | 0.241284i | ||||
\(55\) | −25439.2 | + | 31899.8i | −1.13396 | + | 1.42194i | ||||
\(56\) | −1769.99 | − | 852.382i | −0.0754225 | − | 0.0363215i | ||||
\(57\) | −3144.94 | −0.128211 | ||||||||
\(58\) | 8473.86 | − | 1050.23i | 0.330759 | − | 0.0409933i | ||||
\(59\) | 30542.5 | 1.14229 | 0.571143 | − | 0.820851i | \(-0.306500\pi\) | ||||
0.571143 | + | 0.820851i | \(0.306500\pi\) | |||||||
\(60\) | 16830.9 | + | 8105.33i | 0.603572 | + | 0.290665i | ||||
\(61\) | −25601.0 | + | 32102.6i | −0.880911 | + | 1.10463i | 0.112907 | + | 0.993606i | \(0.463984\pi\) |
−0.993818 | + | 0.111022i | \(0.964588\pi\) | |||||||
\(62\) | −4926.73 | − | 6177.93i | −0.162772 | − | 0.204110i | ||||
\(63\) | 2661.09 | + | 1281.52i | 0.0844713 | + | 0.0406792i | ||||
\(64\) | 11627.2 | − | 5599.35i | 0.354833 | − | 0.170879i | ||||
\(65\) | −13409.5 | + | 16815.0i | −0.393668 | + | 0.493644i | ||||
\(66\) | −1867.91 | − | 8183.87i | −0.0527834 | − | 0.231259i | ||||
\(67\) | −7810.51 | − | 34220.1i | −0.212565 | − | 0.931310i | −0.962816 | − | 0.270157i | \(-0.912925\pi\) |
0.750251 | − | 0.661153i | \(-0.229933\pi\) | |||||||
\(68\) | −26337.6 | − | 33026.3i | −0.690722 | − | 0.866138i | ||||
\(69\) | −3734.98 | + | 16364.0i | −0.0944420 | + | 0.413777i | ||||
\(70\) | −2521.35 | −0.0615018 | ||||||||
\(71\) | 8114.58 | − | 35552.3i | 0.191038 | − | 0.836993i | −0.785018 | − | 0.619473i | \(-0.787346\pi\) |
0.976056 | − | 0.217520i | \(-0.0697967\pi\) | |||||||
\(72\) | 17592.1 | − | 8471.92i | 0.399933 | − | 0.192597i | ||||
\(73\) | −31525.7 | + | 15182.0i | −0.692400 | + | 0.333442i | −0.746774 | − | 0.665078i | \(-0.768398\pi\) |
0.0543734 | + | 0.998521i | \(0.482684\pi\) | |||||||
\(74\) | 5630.21 | − | 24667.5i | 0.119521 | − | 0.523657i | ||||
\(75\) | 24492.7 | 0.502786 | ||||||||
\(76\) | −2351.50 | + | 10302.6i | −0.0466994 | + | 0.204603i | ||||
\(77\) | −5652.89 | − | 7088.50i | −0.108654 | − | 0.136247i | ||||
\(78\) | −984.613 | − | 4313.87i | −0.0183244 | − | 0.0802843i | ||||
\(79\) | 8451.84 | + | 37029.9i | 0.152364 | + | 0.667552i | 0.992194 | + | 0.124702i | \(0.0397975\pi\) |
−0.839830 | + | 0.542850i | \(0.817345\pi\) | |||||||
\(80\) | 33635.2 | − | 42177.2i | 0.587583 | − | 0.736806i | ||||
\(81\) | −10759.2 | + | 5181.33i | −0.182207 | + | 0.0877464i | ||||
\(82\) | −3738.50 | − | 1800.37i | −0.0613992 | − | 0.0295683i | ||||
\(83\) | 23766.5 | + | 29802.2i | 0.378678 | + | 0.474847i | 0.934249 | − | 0.356622i | \(-0.116072\pi\) |
−0.555571 | + | 0.831469i | \(0.687500\pi\) | |||||||
\(84\) | −2588.17 | + | 3245.46i | −0.0400216 | + | 0.0501855i | ||||
\(85\) | −103796. | − | 49985.4i | −1.55823 | − | 0.750405i | ||||
\(86\) | 8156.51 | 0.118921 | ||||||||
\(87\) | 3869.18 | − | 38143.6i | 0.0548050 | − | 0.540286i | ||||
\(88\) | −59937.6 | −0.825073 | ||||||||
\(89\) | −48407.0 | − | 23311.6i | −0.647789 | − | 0.311959i | 0.0809827 | − | 0.996716i | \(-0.474194\pi\) |
−0.728772 | + | 0.684757i | \(0.759908\pi\) | |||||||
\(90\) | 15624.6 | − | 19592.7i | 0.203331 | − | 0.254969i | ||||
\(91\) | −2979.75 | − | 3736.48i | −0.0377204 | − | 0.0472998i | ||||
\(92\) | 50814.6 | + | 24471.0i | 0.625920 | + | 0.301427i | ||||
\(93\) | −31966.4 | + | 15394.2i | −0.383253 | + | 0.184565i | ||||
\(94\) | 24775.9 | − | 31068.0i | 0.289208 | − | 0.362655i | ||||
\(95\) | 6413.10 | + | 28097.6i | 0.0729053 | + | 0.319419i | ||||
\(96\) | 9339.30 | + | 40918.1i | 0.103428 | + | 0.453146i | ||||
\(97\) | 40514.7 | + | 50803.8i | 0.437203 | + | 0.548235i | 0.950804 | − | 0.309794i | \(-0.100260\pi\) |
−0.513601 | + | 0.858029i | \(0.671689\pi\) | |||||||
\(98\) | −6926.44 | + | 30346.7i | −0.0728525 | + | 0.319188i | ||||
\(99\) | 90113.3 | 0.924061 | ||||||||
\(100\) | 18313.4 | − | 80236.2i | 0.183134 | − | 0.802362i | ||||
\(101\) | 102175. | − | 49205.0i | 0.996649 | − | 0.479961i | 0.136849 | − | 0.990592i | \(-0.456303\pi\) |
0.859800 | + | 0.510631i | \(0.170588\pi\) | |||||||
\(102\) | 21354.6 | − | 10283.8i | 0.203231 | − | 0.0978709i | ||||
\(103\) | −24863.2 | + | 108933.i | −0.230921 | + | 1.01173i | 0.717956 | + | 0.696088i | \(0.245078\pi\) |
−0.948878 | + | 0.315644i | \(0.897779\pi\) | |||||||
\(104\) | −31594.2 | −0.286434 | ||||||||
\(105\) | −2519.17 | + | 11037.2i | −0.0222990 | + | 0.0976981i | ||||
\(106\) | 35629.9 | + | 44678.5i | 0.307999 | + | 0.386219i | ||||
\(107\) | 31537.6 | + | 138175.i | 0.266298 | + | 1.16673i | 0.914283 | + | 0.405076i | \(0.132755\pi\) |
−0.647985 | + | 0.761653i | \(0.724388\pi\) | |||||||
\(108\) | −22201.7 | − | 97271.9i | −0.183158 | − | 0.802468i | ||||
\(109\) | −119926. | + | 150383.i | −0.966827 | + | 1.21236i | 0.0103526 | + | 0.999946i | \(0.496705\pi\) |
−0.977179 | + | 0.212416i | \(0.931867\pi\) | |||||||
\(110\) | −69307.6 | + | 33376.8i | −0.546134 | + | 0.263004i | ||||
\(111\) | −102357. | − | 49292.5i | −0.788514 | − | 0.379729i | ||||
\(112\) | 7474.13 | + | 9372.27i | 0.0563010 | + | 0.0705992i | ||||
\(113\) | 49897.7 | − | 62569.8i | 0.367608 | − | 0.460966i | −0.563283 | − | 0.826264i | \(-0.690462\pi\) |
0.930890 | + | 0.365299i | \(0.119033\pi\) | |||||||
\(114\) | −5342.18 | − | 2572.66i | −0.0384996 | − | 0.0185404i | ||||
\(115\) | 153816. | 1.08457 | ||||||||
\(116\) | −122063. | − | 41195.5i | −0.842245 | − | 0.284253i | ||||
\(117\) | 47500.4 | 0.320799 | ||||||||
\(118\) | 51881.3 | + | 24984.7i | 0.343009 | + | 0.165184i | ||||
\(119\) | 15961.2 | − | 20014.7i | 0.103323 | − | 0.129563i | ||||
\(120\) | 46663.2 | + | 58513.7i | 0.295816 | + | 0.370941i | ||||
\(121\) | −104122. | − | 50142.3i | −0.646513 | − | 0.311344i | ||||
\(122\) | −69748.3 | + | 33589.0i | −0.424262 | + | 0.204314i | ||||
\(123\) | −11616.4 | + | 14566.5i | −0.0692322 | + | 0.0868144i | ||||
\(124\) | 26528.7 | + | 116230.i | 0.154939 | + | 0.678834i | ||||
\(125\) | 4000.57 | + | 17527.7i | 0.0229006 | + | 0.100334i | ||||
\(126\) | 3471.97 | + | 4353.72i | 0.0194827 | + | 0.0244306i | ||||
\(127\) | 23820.4 | − | 104364.i | 0.131051 | − | 0.574172i | −0.866175 | − | 0.499741i | \(-0.833429\pi\) |
0.997226 | − | 0.0744314i | \(-0.0237142\pi\) | |||||||
\(128\) | 182982. | 0.987152 | ||||||||
\(129\) | 8149.46 | − | 35705.1i | 0.0431176 | − | 0.188911i | ||||
\(130\) | −36533.4 | + | 17593.5i | −0.189597 | + | 0.0913051i | ||||
\(131\) | 219482. | − | 105697.i | 1.11743 | − | 0.538125i | 0.218332 | − | 0.975875i | \(-0.429938\pi\) |
0.899097 | + | 0.437749i | \(0.144224\pi\) | |||||||
\(132\) | −28182.0 | + | 123474.i | −0.140779 | + | 0.616793i | ||||
\(133\) | −6404.19 | −0.0313931 | ||||||||
\(134\) | 14725.7 | − | 64517.5i | 0.0708457 | − | 0.310395i | ||||
\(135\) | −169655. | − | 212741.i | −0.801185 | − | 1.00465i | ||||
\(136\) | −37658.7 | − | 164993.i | −0.174589 | − | 0.764926i | ||||
\(137\) | −38615.5 | − | 169186.i | −0.175776 | − | 0.770126i | −0.983550 | − | 0.180634i | \(-0.942185\pi\) |
0.807774 | − | 0.589492i | \(-0.200672\pi\) | |||||||
\(138\) | −19730.7 | + | 24741.5i | −0.0881952 | + | 0.110593i | ||||
\(139\) | −20247.3 | + | 9750.58i | −0.0888853 | + | 0.0428049i | −0.477798 | − | 0.878470i | \(-0.658565\pi\) |
0.388913 | + | 0.921275i | \(0.372851\pi\) | |||||||
\(140\) | 34273.5 | + | 16505.2i | 0.147788 | + | 0.0711708i | ||||
\(141\) | −111246. | − | 139498.i | −0.471233 | − | 0.590908i | ||||
\(142\) | 42866.8 | − | 53753.3i | 0.178402 | − | 0.223709i | ||||
\(143\) | −131371. | − | 63264.7i | −0.537227 | − | 0.258715i | ||||
\(144\) | −119146. | −0.478820 | ||||||||
\(145\) | −348674. | + | 43213.7i | −1.37721 | + | 0.170687i | ||||
\(146\) | −65970.7 | −0.256135 | ||||||||
\(147\) | 125922. | + | 60641.0i | 0.480628 | + | 0.231458i | ||||
\(148\) | −238012. | + | 298457.i | −0.893190 | + | 1.12003i | ||||
\(149\) | −241355. | − | 302649.i | −0.890615 | − | 1.11680i | −0.992530 | − | 0.122003i | \(-0.961068\pi\) |
0.101915 | − | 0.994793i | \(-0.467503\pi\) | |||||||
\(150\) | 41604.7 | + | 20035.8i | 0.150978 | + | 0.0727073i | ||||
\(151\) | 442211. | − | 212958.i | 1.57829 | − | 0.760065i | 0.579789 | − | 0.814767i | \(-0.303135\pi\) |
0.998503 | + | 0.0547016i | \(0.0174207\pi\) | |||||||
\(152\) | −26396.8 | + | 33100.5i | −0.0926706 | + | 0.116205i | ||||
\(153\) | 56618.0 | + | 248060.i | 0.195536 | + | 0.856697i | ||||
\(154\) | −3803.72 | − | 16665.2i | −0.0129243 | − | 0.0566250i | ||||
\(155\) | 202721. | + | 254204.i | 0.677749 | + | 0.849870i | ||||
\(156\) | −14855.3 | + | 65085.3i | −0.0488731 | + | 0.214127i | ||||
\(157\) | 63313.5 | 0.204997 | 0.102498 | − | 0.994733i | \(-0.467316\pi\) | ||||
0.102498 | + | 0.994733i | \(0.467316\pi\) | |||||||
\(158\) | −15934.8 | + | 69815.0i | −0.0507814 | + | 0.222488i | ||||
\(159\) | 231179. | − | 111330.i | 0.725197 | − | 0.349236i | ||||
\(160\) | 346528. | − | 166879.i | 1.07013 | − | 0.515350i | ||||
\(161\) | −7605.70 | + | 33322.8i | −0.0231246 | + | 0.101316i | ||||
\(162\) | −22514.6 | −0.0674027 | ||||||||
\(163\) | −12140.3 | + | 53189.9i | −0.0357898 | + | 0.156805i | −0.989665 | − | 0.143398i | \(-0.954197\pi\) |
0.953875 | + | 0.300203i | \(0.0970544\pi\) | |||||||
\(164\) | 39033.0 | + | 48945.9i | 0.113324 | + | 0.142104i | ||||
\(165\) | 76859.2 | + | 336742.i | 0.219779 | + | 0.962914i | ||||
\(166\) | 15992.0 | + | 70065.5i | 0.0450436 | + | 0.197349i | ||||
\(167\) | −218527. | + | 274024.i | −0.606336 | + | 0.760321i | −0.986351 | − | 0.164659i | \(-0.947348\pi\) |
0.380015 | + | 0.924981i | \(0.375919\pi\) | |||||||
\(168\) | −14983.8 | + | 7215.80i | −0.0409588 | + | 0.0197247i | ||||
\(169\) | 265276. | + | 127750.i | 0.714464 | + | 0.344068i | ||||
\(170\) | −135424. | − | 169816.i | −0.359396 | − | 0.450668i | ||||
\(171\) | 39686.3 | − | 49765.0i | 0.103789 | − | 0.130147i | ||||
\(172\) | −110874. | − | 53394.1i | −0.285765 | − | 0.137617i | ||||
\(173\) | −460220. | −1.16910 | −0.584548 | − | 0.811359i | \(-0.698728\pi\) | ||||
−0.584548 | + | 0.811359i | \(0.698728\pi\) | |||||||
\(174\) | 37775.1 | − | 61627.9i | 0.0945872 | − | 0.154314i | ||||
\(175\) | 49875.6 | 0.123110 | ||||||||
\(176\) | 329518. | + | 158688.i | 0.801858 | + | 0.386155i | ||||
\(177\) | 161207. | − | 202147.i | 0.386768 | − | 0.484992i | ||||
\(178\) | −63157.4 | − | 79196.9i | −0.149408 | − | 0.187352i | ||||
\(179\) | 64996.0 | + | 31300.4i | 0.151619 | + | 0.0730160i | 0.508155 | − | 0.861266i | \(-0.330328\pi\) |
−0.356535 | + | 0.934282i | \(0.616042\pi\) | |||||||
\(180\) | −340648. | + | 164047.i | −0.783654 | + | 0.377388i | ||||
\(181\) | 291210. | − | 365165.i | 0.660708 | − | 0.828501i | −0.332713 | − | 0.943028i | \(-0.607964\pi\) |
0.993420 | + | 0.114527i | \(0.0365353\pi\) | |||||||
\(182\) | −2005.01 | − | 8784.54i | −0.00448682 | − | 0.0196580i | ||||
\(183\) | 77347.9 | + | 338883.i | 0.170734 | + | 0.748035i | ||||
\(184\) | 140882. | + | 176660.i | 0.306769 | + | 0.384676i | ||||
\(185\) | −231667. | + | 1.01500e6i | −0.497661 | + | 2.18040i | ||||
\(186\) | −66892.9 | −0.141774 | ||||||||
\(187\) | 173798. | − | 761459.i | 0.363447 | − | 1.59237i | ||||
\(188\) | −540165. | + | 260130.i | −1.11463 | + | 0.536778i | ||||
\(189\) | 54477.1 | − | 26234.8i | 0.110933 | − | 0.0534224i | ||||
\(190\) | −12091.1 | + | 52974.4i | −0.0242986 | + | 0.106459i | ||||
\(191\) | 835492. | 1.65714 | 0.828570 | − | 0.559886i | \(-0.189155\pi\) | ||||
0.828570 | + | 0.559886i | \(0.189155\pi\) | |||||||
\(192\) | 24310.0 | − | 106509.i | 0.0475918 | − | 0.208513i | ||||
\(193\) | −95245.7 | − | 119434.i | −0.184057 | − | 0.230800i | 0.681239 | − | 0.732061i | \(-0.261441\pi\) |
−0.865296 | + | 0.501261i | \(0.832870\pi\) | |||||||
\(194\) | 27261.5 | + | 119440.i | 0.0520051 | + | 0.227849i | ||||
\(195\) | 40514.0 | + | 177503.i | 0.0762989 | + | 0.334287i | ||||
\(196\) | 292809. | − | 367170.i | 0.544432 | − | 0.682696i | ||||
\(197\) | −569405. | + | 274211.i | −1.04534 | + | 0.503407i | −0.876080 | − | 0.482165i | \(-0.839851\pi\) |
−0.169256 | + | 0.985572i | \(0.554136\pi\) | |||||||
\(198\) | 153072. | + | 73715.4i | 0.277480 | + | 0.133627i | ||||
\(199\) | −657656. | − | 824675.i | −1.17724 | − | 1.47622i | −0.846413 | − | 0.532527i | \(-0.821243\pi\) |
−0.330831 | − | 0.943690i | \(-0.607329\pi\) | |||||||
\(200\) | 205577. | − | 257786.i | 0.363413 | − | 0.455705i | ||||
\(201\) | −267712. | − | 128923.i | −0.467389 | − | 0.225083i | ||||
\(202\) | 213812. | 0.368683 | ||||||||
\(203\) | 7878.98 | − | 77673.6i | 0.0134193 | − | 0.132292i | ||||
\(204\) | −357599. | −0.601618 | ||||||||
\(205\) | 153828. | + | 74079.8i | 0.255653 | + | 0.123116i | ||||
\(206\) | −131345. | + | 164701.i | −0.215647 | + | 0.270413i | ||||
\(207\) | −211809. | − | 265601.i | −0.343573 | − | 0.430827i | ||||
\(208\) | 173695. | + | 83647.3i | 0.278375 | + | 0.134058i | ||||
\(209\) | −176040. | + | 84776.5i | −0.278770 | + | 0.134249i | ||||
\(210\) | −13308.0 | + | 16687.7i | −0.0208240 | + | 0.0261125i | ||||
\(211\) | −228100. | − | 999373.i | −0.352712 | − | 1.54533i | −0.770891 | − | 0.636967i | \(-0.780189\pi\) |
0.418179 | − | 0.908364i | \(-0.362668\pi\) | |||||||
\(212\) | −191854. | − | 840569.i | −0.293178 | − | 1.28450i | ||||
\(213\) | −192475. | − | 241356.i | −0.290687 | − | 0.364510i | ||||
\(214\) | −59459.9 | + | 260511.i | −0.0887544 | + | 0.388858i | ||||
\(215\) | −335616. | −0.495162 | ||||||||
\(216\) | 88947.4 | − | 389704.i | 0.129718 | − | 0.568330i | ||||
\(217\) | −65094.6 | + | 31347.9i | −0.0938416 | + | 0.0451917i | ||||
\(218\) | −326732. | + | 157346.i | −0.465640 | + | 0.224240i | ||||
\(219\) | −65913.7 | + | 288787.i | −0.0928678 | + | 0.406881i | ||||
\(220\) | 1.16061e6 | 1.61670 | ||||||||
\(221\) | 91612.3 | − | 401380.i | 0.126175 | − | 0.552809i | ||||
\(222\) | −133547. | − | 167462.i | −0.181866 | − | 0.228052i | ||||
\(223\) | 209512. | + | 917934.i | 0.282129 | + | 1.23609i | 0.895058 | + | 0.445949i | \(0.147134\pi\) |
−0.612929 | + | 0.790138i | \(0.710009\pi\) | |||||||
\(224\) | 19018.0 | + | 83323.5i | 0.0253248 | + | 0.110955i | ||||
\(225\) | −309076. | + | 387568.i | −0.407013 | + | 0.510378i | ||||
\(226\) | 135943. | − | 65466.8i | 0.177046 | − | 0.0852609i | ||||
\(227\) | 948013. | + | 456539.i | 1.22110 | + | 0.588049i | 0.929617 | − | 0.368528i | \(-0.120138\pi\) |
0.291480 | + | 0.956577i | \(0.405852\pi\) | |||||||
\(228\) | 55776.8 | + | 69941.9i | 0.0710586 | + | 0.0891046i | ||||
\(229\) | 277284. | − | 347703.i | 0.349410 | − | 0.438147i | −0.575806 | − | 0.817586i | \(-0.695312\pi\) |
0.925217 | + | 0.379439i | \(0.123883\pi\) | |||||||
\(230\) | 261281. | + | 125826.i | 0.325678 | + | 0.156838i | ||||
\(231\) | −76752.3 | −0.0946371 | ||||||||
\(232\) | −368987. | − | 360879.i | −0.450081 | − | 0.440191i | ||||
\(233\) | 161072. | 0.194371 | 0.0971853 | − | 0.995266i | \(-0.469016\pi\) | ||||
0.0971853 | + | 0.995266i | \(0.469016\pi\) | |||||||
\(234\) | 80687.0 | + | 38856.8i | 0.0963305 | + | 0.0463903i | ||||
\(235\) | −1.01946e6 | + | 1.27836e6i | −1.20420 | + | 1.51002i | ||||
\(236\) | −541684. | − | 679250.i | −0.633090 | − | 0.793870i | ||||
\(237\) | 289694. | + | 139509.i | 0.335019 | + | 0.161337i | ||||
\(238\) | 43485.3 | − | 20941.4i | 0.0497622 | − | 0.0239642i | ||||
\(239\) | 12176.0 | − | 15268.2i | 0.0137883 | − | 0.0172899i | −0.774890 | − | 0.632097i | \(-0.782195\pi\) |
0.788678 | + | 0.614807i | \(0.210766\pi\) | |||||||
\(240\) | −101622. | − | 445233.i | −0.113883 | − | 0.498953i | ||||
\(241\) | 399753. | + | 1.75143e6i | 0.443352 | + | 1.94245i | 0.306547 | + | 0.951856i | \(0.400826\pi\) |
0.136806 | + | 0.990598i | \(0.456316\pi\) | |||||||
\(242\) | −135849. | − | 170349.i | −0.149114 | − | 0.186983i | ||||
\(243\) | −212157. | + | 929521.i | −0.230485 | + | 1.00982i | ||||
\(244\) | 1.16799e6 | 1.25593 | ||||||||
\(245\) | 285003. | − | 1.24868e6i | 0.303343 | − | 1.32903i | ||||
\(246\) | −31648.1 | + | 15240.9i | −0.0333434 | + | 0.0160573i | ||||
\(247\) | −92794.1 | + | 44687.3i | −0.0967783 | + | 0.0466060i | ||||
\(248\) | −106283. | + | 465656.i | −0.109732 | + | 0.480769i | ||||
\(249\) | 322690. | 0.329828 | ||||||||
\(250\) | −7542.56 | + | 33046.1i | −0.00763253 | + | 0.0334403i | ||||
\(251\) | −933654. | − | 1.17077e6i | −0.935409 | − | 1.17297i | −0.984713 | − | 0.174182i | \(-0.944272\pi\) |
0.0493040 | − | 0.998784i | \(-0.484300\pi\) | |||||||
\(252\) | −18695.3 | − | 81909.6i | −0.0185452 | − | 0.0812519i | ||||
\(253\) | 232048. | + | 1.01667e6i | 0.227917 | + | 0.998568i | ||||
\(254\) | 125836. | − | 157793.i | 0.122383 | − | 0.153463i | ||||
\(255\) | −878678. | + | 423149.i | −0.846212 | + | 0.407514i | ||||
\(256\) | −61245.0 | − | 29494.0i | −0.0584077 | − | 0.0281277i | ||||
\(257\) | 261680. | + | 328137.i | 0.247137 | + | 0.309900i | 0.889892 | − | 0.456172i | \(-0.150780\pi\) |
−0.642754 | + | 0.766072i | \(0.722208\pi\) | |||||||
\(258\) | 43051.0 | − | 53984.3i | 0.0402656 | − | 0.0504915i | ||||
\(259\) | −208434. | − | 100377.i | −0.193072 | − | 0.0929785i | ||||
\(260\) | 611780. | 0.561257 | ||||||||
\(261\) | 554754. | + | 542564.i | 0.504079 | + | 0.493003i | ||||
\(262\) | 459288. | 0.413363 | ||||||||
\(263\) | 1.54533e6 | + | 744194.i | 1.37763 | + | 0.663432i | 0.968493 | − | 0.249040i | \(-0.0801151\pi\) |
0.409138 | + | 0.912472i | \(0.365829\pi\) | |||||||
\(264\) | −316358. | + | 396700.i | −0.279363 | + | 0.350310i | ||||
\(265\) | −1.46607e6 | − | 1.83839e6i | −1.28244 | − | 1.60813i | ||||
\(266\) | −10878.5 | − | 5238.82i | −0.00942683 | − | 0.00453972i | ||||
\(267\) | −409787. | + | 197343.i | −0.351788 | + | 0.169412i | ||||
\(268\) | −622515. | + | 780609.i | −0.529435 | + | 0.663891i | ||||
\(269\) | 82604.7 | + | 361915.i | 0.0696024 | + | 0.304948i | 0.997732 | − | 0.0673088i | \(-0.0214413\pi\) |
−0.928130 | + | 0.372257i | \(0.878584\pi\) | |||||||
\(270\) | −114158. | − | 500158.i | −0.0953006 | − | 0.417539i | ||||
\(271\) | 309020. | + | 387498.i | 0.255601 | + | 0.320514i | 0.893031 | − | 0.449994i | \(-0.148574\pi\) |
−0.637430 | + | 0.770508i | \(0.720003\pi\) | |||||||
\(272\) | −229792. | + | 1.00679e6i | −0.188327 | + | 0.825115i | ||||
\(273\) | −40457.6 | −0.0328544 | ||||||||
\(274\) | 72804.4 | − | 318977.i | 0.0585843 | − | 0.256675i | ||||
\(275\) | 1.37099e6 | − | 660236.i | 1.09321 | − | 0.526463i | ||||
\(276\) | 430168. | − | 207158.i | 0.339911 | − | 0.163693i | ||||
\(277\) | 394361. | − | 1.72781e6i | 0.308812 | − | 1.35300i | −0.547616 | − | 0.836730i | \(-0.684464\pi\) |
0.856428 | − | 0.516266i | \(-0.172678\pi\) | |||||||
\(278\) | −42369.5 | −0.0328807 | ||||||||
\(279\) | 159791. | − | 700092.i | 0.122897 | − | 0.538449i | ||||
\(280\) | 95022.3 | + | 119154.i | 0.0724320 | + | 0.0908269i | ||||
\(281\) | −238529. | − | 1.04506e6i | −0.180208 | − | 0.789544i | −0.981530 | − | 0.191310i | \(-0.938726\pi\) |
0.801321 | − | 0.598234i | \(-0.204131\pi\) | |||||||
\(282\) | −74855.2 | − | 327962.i | −0.0560530 | − | 0.245584i | ||||
\(283\) | −1.08240e6 | + | 1.35729e6i | −0.803383 | + | 1.00741i | 0.196257 | + | 0.980553i | \(0.437121\pi\) |
−0.999639 | + | 0.0268574i | \(0.991450\pi\) | |||||||
\(284\) | −934581. | + | 450071.i | −0.687577 | + | 0.331119i | ||||
\(285\) | 219815. | + | 105857.i | 0.160304 | + | 0.0771985i | ||||
\(286\) | −171401. | − | 214930.i | −0.123908 | − | 0.155375i | ||||
\(287\) | −23655.0 | + | 29662.4i | −0.0169519 | + | 0.0212570i | ||||
\(288\) | −765336. | − | 368566.i | −0.543714 | − | 0.261839i | ||||
\(289\) | 785450. | 0.553189 | ||||||||
\(290\) | −627629. | − | 211821.i | −0.438236 | − | 0.147902i | ||||
\(291\) | 550089. | 0.380803 | ||||||||
\(292\) | 896760. | + | 431857.i | 0.615487 | + | 0.296403i | ||||
\(293\) | −835625. | + | 1.04784e6i | −0.568647 | + | 0.713061i | −0.980130 | − | 0.198357i | \(-0.936440\pi\) |
0.411483 | + | 0.911417i | \(0.365011\pi\) | |||||||
\(294\) | 164293. | + | 206017.i | 0.110854 | + | 0.139006i | ||||
\(295\) | −2.13476e6 | − | 1.02805e6i | −1.42822 | − | 0.687793i | ||||
\(296\) | −1.37793e6 | + | 663575.i | −0.914107 | + | 0.440211i | ||||
\(297\) | 1.15020e6 | − | 1.44230e6i | 0.756625 | − | 0.948778i | ||||
\(298\) | −162403. | − | 711533.i | −0.105938 | − | 0.464146i | ||||
\(299\) | 122317. | + | 535905.i | 0.0791240 | + | 0.346665i | ||||
\(300\) | −434388. | − | 544705.i | −0.278660 | − | 0.349428i | ||||
\(301\) | 16595.1 | − | 72708.0i | 0.0105576 | − | 0.0462558i | ||||
\(302\) | 925371. | 0.583847 | ||||||||
\(303\) | 213627. | − | 935962.i | 0.133675 | − | 0.585668i | ||||
\(304\) | 232757. | − | 112090.i | 0.144450 | − | 0.0695635i | ||||
\(305\) | 2.86994e6 | − | 1.38209e6i | 1.76654 | − | 0.850719i | ||||
\(306\) | −106746. | + | 467684.i | −0.0651699 | + | 0.285528i | ||||
\(307\) | −1.55255e6 | −0.940153 | −0.470077 | − | 0.882626i | \(-0.655774\pi\) | ||||
−0.470077 | + | 0.882626i | \(0.655774\pi\) | |||||||
\(308\) | −57388.4 | + | 251435.i | −0.0344705 | + | 0.151025i | ||||
\(309\) | 589747. | + | 739519.i | 0.351374 | + | 0.440609i | ||||
\(310\) | 136407. | + | 597637.i | 0.0806179 | + | 0.353210i | ||||
\(311\) | −177663. | − | 778391.i | −0.104159 | − | 0.456349i | −0.999930 | − | 0.0118337i | \(-0.996233\pi\) |
0.895771 | − | 0.444515i | \(-0.146624\pi\) | |||||||
\(312\) | −166758. | + | 209108.i | −0.0969842 | + | 0.121614i | ||||
\(313\) | −2.05793e6 | + | 991049.i | −1.18733 | + | 0.571787i | −0.920038 | − | 0.391829i | \(-0.871843\pi\) |
−0.267290 | + | 0.963616i | \(0.586128\pi\) | |||||||
\(314\) | 107548. | + | 51792.4i | 0.0615571 | + | 0.0296443i | ||||
\(315\) | −142861. | − | 179143.i | −0.0811220 | − | 0.101724i | ||||
\(316\) | 673630. | − | 844705.i | 0.379493 | − | 0.475869i | ||||
\(317\) | −1.69394e6 | − | 815757.i | −0.946780 | − | 0.455945i | −0.104224 | − | 0.994554i | \(-0.533236\pi\) |
−0.842556 | + | 0.538609i | \(0.818950\pi\) | |||||||
\(318\) | 483766. | 0.268267 | ||||||||
\(319\) | −811638. | − | 2.23942e6i | −0.446566 | − | 1.23213i | ||||
\(320\) | −1.00115e6 | −0.546543 | ||||||||
\(321\) | 1.08098e6 | + | 520572.i | 0.585537 | + | 0.281980i | ||||
\(322\) | −40178.5 | + | 50382.3i | −0.0215951 | + | 0.0270793i | ||||
\(323\) | −343974. | − | 431330.i | −0.183451 | − | 0.230040i | ||||
\(324\) | 306048. | + | 147385.i | 0.161967 | + | 0.0779993i | ||||
\(325\) | 722677. | − | 348023.i | 0.379521 | − | 0.182768i | ||||
\(326\) | −64133.1 | + | 80420.4i | −0.0334225 | + | 0.0419104i | ||||
\(327\) | 362332. | + | 1.58748e6i | 0.187386 | + | 0.820992i | ||||
\(328\) | 55811.2 | + | 244525.i | 0.0286442 | + | 0.125499i | ||||
\(329\) | −226535. | − | 284066.i | −0.115384 | − | 0.144687i | ||||
\(330\) | −144908. | + | 634883.i | −0.0732499 | + | 0.320929i | ||||
\(331\) | 2.43261e6 | 1.22040 | 0.610201 | − | 0.792247i | \(-0.291089\pi\) | ||||
0.610201 | + | 0.792247i | \(0.291089\pi\) | |||||||
\(332\) | 241278. | − | 1.05711e6i | 0.120136 | − | 0.526350i | ||||
\(333\) | 2.07165e6 | − | 997653.i | 1.02378 | − | 0.493025i | ||||
\(334\) | −595362. | + | 286711.i | −0.292022 | + | 0.140630i | ||||
\(335\) | −605919. | + | 2.65471e6i | −0.294987 | + | 1.29242i | ||||
\(336\) | 101480. | 0.0490381 | ||||||||
\(337\) | −580428. | + | 2.54302e6i | −0.278403 | + | 1.21976i | 0.621410 | + | 0.783485i | \(0.286560\pi\) |
−0.899813 | + | 0.436276i | \(0.856297\pi\) | |||||||
\(338\) | 346109. | + | 434007.i | 0.164786 | + | 0.206636i | ||||
\(339\) | −150755. | − | 660502.i | −0.0712481 | − | 0.312158i | ||||
\(340\) | 729210. | + | 3.19488e6i | 0.342102 | + | 1.49884i | ||||
\(341\) | −1.37437e6 | + | 1.72340e6i | −0.640054 | + | 0.802602i | ||||
\(342\) | 108123. | − | 52069.2i | 0.0499864 | − | 0.0240722i | ||||
\(343\) | 517458. | + | 249195.i | 0.237487 | + | 0.114368i | ||||
\(344\) | −307395. | − | 385461.i | −0.140056 | − | 0.175624i | ||||
\(345\) | 811861. | − | 1.01804e6i | 0.367226 | − | 0.460487i | ||||
\(346\) | −781756. | − | 376474.i | −0.351060 | − | 0.169062i | ||||
\(347\) | 2.46070e6 | 1.09707 | 0.548536 | − | 0.836127i | \(-0.315186\pi\) | ||||
0.548536 | + | 0.836127i | \(0.315186\pi\) | |||||||
\(348\) | −916917. | + | 590445.i | −0.405865 | + | 0.261355i | ||||
\(349\) | −2.09606e6 | −0.921171 | −0.460586 | − | 0.887615i | \(-0.652361\pi\) | ||||
−0.460586 | + | 0.887615i | \(0.652361\pi\) | |||||||
\(350\) | 84721.6 | + | 40799.8i | 0.0369678 | + | 0.0178028i | ||||
\(351\) | 606290. | − | 760264.i | 0.262672 | − | 0.329380i | ||||
\(352\) | 1.62578e6 | + | 2.03867e6i | 0.699368 | + | 0.876980i | ||||
\(353\) | 1.14970e6 | + | 553664.i | 0.491073 | + | 0.236488i | 0.662997 | − | 0.748622i | \(-0.269284\pi\) |
−0.171924 | + | 0.985110i | \(0.554998\pi\) | |||||||
\(354\) | 439198. | − | 211507.i | 0.186274 | − | 0.0897049i | ||||
\(355\) | −1.76384e6 | + | 2.21179e6i | −0.742829 | + | 0.931479i | ||||
\(356\) | 340080. | + | 1.48999e6i | 0.142219 | + | 0.623101i | ||||
\(357\) | −48223.3 | − | 211280.i | −0.0200256 | − | 0.0877381i | ||||
\(358\) | 84801.3 | + | 106338.i | 0.0349700 | + | 0.0438509i | ||||
\(359\) | 288705. | − | 1.26490e6i | 0.118228 | − | 0.517989i | −0.880783 | − | 0.473520i | \(-0.842983\pi\) |
0.999011 | − | 0.0444691i | \(-0.0141596\pi\) | |||||||
\(360\) | −1.51476e6 | −0.616009 | ||||||||
\(361\) | 520273. | − | 2.27946e6i | 0.210118 | − | 0.920587i | ||||
\(362\) | 793382. | − | 382073.i | 0.318208 | − | 0.153241i | ||||
\(363\) | −881437. | + | 424477.i | −0.351095 | + | 0.169078i | ||||
\(364\) | −30250.5 | + | 132536.i | −0.0119668 | + | 0.0524301i | ||||
\(365\) | 2.71450e6 | 1.06649 | ||||||||
\(366\) | −145829. | + | 638920.i | −0.0569039 | + | 0.249312i | ||||
\(367\) | −2.31289e6 | − | 2.90027e6i | −0.896375 | − | 1.12402i | −0.991700 | − | 0.128573i | \(-0.958960\pi\) |
0.0953249 | − | 0.995446i | \(-0.469611\pi\) | |||||||
\(368\) | −306809. | − | 1.34422e6i | −0.118099 | − | 0.517428i | ||||
\(369\) | −83909.5 | − | 367632.i | −0.0320808 | − | 0.140555i | ||||
\(370\) | −1.22382e6 | + | 1.53462e6i | −0.464744 | + | 0.582770i | ||||
\(371\) | 470761. | − | 226706.i | 0.177568 | − | 0.0855124i | ||||
\(372\) | 909295. | + | 437894.i | 0.340681 | + | 0.164063i | ||||
\(373\) | −647975. | − | 812535.i | −0.241149 | − | 0.302392i | 0.646498 | − | 0.762916i | \(-0.276233\pi\) |
−0.887647 | + | 0.460524i | \(0.847662\pi\) | |||||||
\(374\) | 918121. | − | 1.15129e6i | 0.339407 | − | 0.425603i | ||||
\(375\) | 137123. | + | 66035.1i | 0.0503539 | + | 0.0242492i | ||||
\(376\) | −2.40195e6 | −0.876182 | ||||||||
\(377\) | −427830. | − | 1.18044e6i | −0.155031 | − | 0.427750i | ||||
\(378\) | 113999. | 0.0410366 | ||||||||
\(379\) | 1.27205e6 | + | 612585.i | 0.454888 | + | 0.219063i | 0.647275 | − | 0.762257i | \(-0.275909\pi\) |
−0.192387 | + | 0.981319i | \(0.561623\pi\) | |||||||
\(380\) | 511139. | − | 640947.i | 0.181585 | − | 0.227700i | ||||
\(381\) | −565013. | − | 708503.i | −0.199409 | − | 0.250052i | ||||
\(382\) | 1.41922e6 | + | 683458.i | 0.497611 | + | 0.239637i | ||||
\(383\) | −826142. | + | 397849.i | −0.287778 | + | 0.138587i | −0.572204 | − | 0.820111i | \(-0.693911\pi\) |
0.284426 | + | 0.958698i | \(0.408197\pi\) | |||||||
\(384\) | 965802. | − | 1.21108e6i | 0.334241 | − | 0.419125i | ||||
\(385\) | 156512. | + | 685723.i | 0.0538140 | + | 0.235775i | ||||
\(386\) | −64089.0 | − | 280792.i | −0.0218935 | − | 0.0959217i | ||||
\(387\) | 462154. | + | 579522.i | 0.156859 | + | 0.196695i | ||||
\(388\) | 411306. | − | 1.80205e6i | 0.138703 | − | 0.607698i | ||||
\(389\) | 1.16496e6 | 0.390336 | 0.195168 | − | 0.980770i | \(-0.437475\pi\) | ||||
0.195168 | + | 0.980770i | \(0.437475\pi\) | |||||||
\(390\) | −76383.7 | + | 334659.i | −0.0254296 | + | 0.111414i | ||||
\(391\) | −2.65284e6 | + | 1.27754e6i | −0.877545 | + | 0.422603i | ||||
\(392\) | 1.69516e6 | − | 816348.i | 0.557181 | − | 0.268324i | ||||
\(393\) | 458891. | − | 2.01053e6i | 0.149875 | − | 0.656643i | ||||
\(394\) | −1.19154e6 | −0.386694 | ||||||||
\(395\) | 655671. | − | 2.87268e6i | 0.211443 | − | 0.926393i | ||||
\(396\) | −1.59820e6 | − | 2.00407e6i | −0.512144 | − | 0.642208i | ||||
\(397\) | 1.22528e6 | + | 5.36830e6i | 0.390174 | + | 1.70946i | 0.664040 | + | 0.747697i | \(0.268840\pi\) |
−0.273866 | + | 0.961768i | \(0.588302\pi\) | |||||||
\(398\) | −442524. | − | 1.93882e6i | −0.140033 | − | 0.613523i | ||||
\(399\) | −33802.1 | + | 42386.5i | −0.0106295 | + | 0.0133289i | ||||
\(400\) | −1.81270e6 | + | 872950.i | −0.566469 | + | 0.272797i | ||||
\(401\) | −1.19067e6 | − | 573394.i | −0.369767 | − | 0.178071i | 0.239766 | − | 0.970831i | \(-0.422929\pi\) |
−0.609534 | + | 0.792760i | \(0.708643\pi\) | |||||||
\(402\) | −349289. | − | 437994.i | −0.107800 | − | 0.135177i | ||||
\(403\) | −724455. | + | 908437.i | −0.222202 | + | 0.278633i | ||||
\(404\) | −2.90641e6 | − | 1.39965e6i | −0.885939 | − | 0.426646i | ||||
\(405\) | 926410. | 0.280651 | ||||||||
\(406\) | 76923.1 | − | 125496.i | 0.0231602 | − | 0.0377845i | ||||
\(407\) | −7.05825e6 | −2.11208 | ||||||||
\(408\) | −1.29078e6 | − | 621609.i | −0.383887 | − | 0.184870i | ||||
\(409\) | 408409. | − | 512128.i | 0.120722 | − | 0.151381i | −0.717798 | − | 0.696251i | \(-0.754850\pi\) |
0.838520 | + | 0.544871i | \(0.183421\pi\) | |||||||
\(410\) | 200702. | + | 251673.i | 0.0589647 | + | 0.0739395i | ||||
\(411\) | −1.32358e6 | − | 637403.i | −0.386497 | − | 0.186127i | ||||
\(412\) | 2.86357e6 | − | 1.37902e6i | 0.831122 | − | 0.400247i | ||||
\(413\) | 328273. | − | 411642.i | 0.0947023 | − | 0.118753i | ||||
\(414\) | −142522. | − | 624431.i | −0.0408679 | − | 0.179054i | ||||
\(415\) | −658024. | − | 2.88299e6i | −0.187552 | − | 0.821719i | ||||
\(416\) | 856981. | + | 1.07462e6i | 0.242794 | + | 0.304454i | ||||
\(417\) | −42332.9 | + | 185473.i | −0.0119217 | + | 0.0522324i | ||||
\(418\) | −368382. | −0.103123 | ||||||||
\(419\) | −1.24363e6 | + | 5.44868e6i | −0.346063 | + | 1.51620i | 0.439969 | + | 0.898013i | \(0.354989\pi\) |
−0.786032 | + | 0.618186i | \(0.787868\pi\) | |||||||
\(420\) | 290141. | − | 139724.i | 0.0802574 | − | 0.0386499i | ||||
\(421\) | 1.03345e6 | − | 497684.i | 0.284174 | − | 0.136851i | −0.286367 | − | 0.958120i | \(-0.592448\pi\) |
0.570541 | + | 0.821269i | \(0.306733\pi\) | |||||||
\(422\) | 430053. | − | 1.88419e6i | 0.117555 | − | 0.515042i | ||||
\(423\) | 3.61122e6 | 0.981302 | ||||||||
\(424\) | 768633. | − | 3.36760e6i | 0.207637 | − | 0.909717i | ||||
\(425\) | 2.67886e6 | + | 3.35918e6i | 0.719412 | + | 0.902114i | ||||
\(426\) | −129513. | − | 567433.i | −0.0345771 | − | 0.151492i | ||||
\(427\) | 157507. | + | 690083.i | 0.0418052 | + | 0.183160i | ||||
\(428\) | 2.51361e6 | − | 3.15197e6i | 0.663268 | − | 0.831711i | ||||
\(429\) | −1.11211e6 | + | 535564.i | −0.291746 | + | 0.140497i | ||||
\(430\) | −570098. | − | 274545.i | −0.148689 | − | 0.0716047i | ||||
\(431\) | 1.07502e6 | + | 1.34804e6i | 0.278756 | + | 0.349549i | 0.901424 | − | 0.432937i | \(-0.142523\pi\) |
−0.622668 | + | 0.782486i | \(0.713951\pi\) | |||||||
\(432\) | −1.52076e6 | + | 1.90698e6i | −0.392060 | + | 0.491628i | ||||
\(433\) | 3.44567e6 | + | 1.65935e6i | 0.883190 | + | 0.425322i | 0.819789 | − | 0.572666i | \(-0.194091\pi\) |
0.0634014 | + | 0.997988i | \(0.479805\pi\) | |||||||
\(434\) | −136217. | −0.0347142 | ||||||||
\(435\) | −1.55433e6 | + | 2.53581e6i | −0.393841 | + | 0.642530i | ||||
\(436\) | 5.47139e6 | 1.37842 | ||||||||
\(437\) | 663650. | + | 319597.i | 0.166240 | + | 0.0800569i | ||||
\(438\) | −348201. | + | 436631.i | −0.0867252 | + | 0.108750i | ||||
\(439\) | −854920. | − | 1.07204e6i | −0.211721 | − | 0.265490i | 0.664619 | − | 0.747182i | \(-0.268594\pi\) |
−0.876340 | + | 0.481692i | \(0.840022\pi\) | |||||||
\(440\) | 4.18933e6 | + | 2.01747e6i | 1.03160 | + | 0.496794i | ||||
\(441\) | −2.54860e6 | + | 1.22734e6i | −0.624029 | + | 0.300517i | ||||
\(442\) | 483959. | − | 606865.i | 0.117829 | − | 0.147753i | ||||
\(443\) | −39291.0 | − | 172145.i | −0.00951226 | − | 0.0416759i | 0.969949 | − | 0.243308i | \(-0.0782326\pi\) |
−0.979461 | + | 0.201632i | \(0.935375\pi\) | |||||||
\(444\) | 719101. | + | 3.15059e6i | 0.173114 | + | 0.758463i | ||||
\(445\) | 2.59874e6 | + | 3.25872e6i | 0.622104 | + | 0.780094i | ||||
\(446\) | −395008. | + | 1.73064e6i | −0.0940305 | + | 0.411975i | ||||
\(447\) | −3.27700e6 | −0.775725 | ||||||||
\(448\) | 49503.6 | − | 216889.i | 0.0116531 | − | 0.0510556i | ||||
\(449\) | −2.93600e6 | + | 1.41390e6i | −0.687290 | + | 0.330981i | −0.744728 | − | 0.667368i | \(-0.767421\pi\) |
0.0574386 | + | 0.998349i | \(0.481707\pi\) | |||||||
\(450\) | −842057. | + | 405513.i | −0.196024 | + | 0.0944004i | ||||
\(451\) | −257574. | + | 1.12850e6i | −0.0596294 | + | 0.261253i | ||||
\(452\) | −2.27648e6 | −0.524104 | ||||||||
\(453\) | 924572. | − | 4.05082e6i | 0.211688 | − | 0.927464i | ||||
\(454\) | 1.23689e6 | + | 1.55101e6i | 0.281638 | + | 0.353162i | ||||
\(455\) | 82500.4 | + | 361458.i | 0.0186822 | + | 0.0818520i | ||||
\(456\) | 79752.2 | + | 349417.i | 0.0179610 | + | 0.0786923i | ||||
\(457\) | 2.55190e6 | − | 3.19998e6i | 0.571574 | − | 0.716731i | −0.409076 | − | 0.912500i | \(-0.634149\pi\) |
0.980650 | + | 0.195769i | \(0.0627203\pi\) | |||||||
\(458\) | 755442. | − | 363802.i | 0.168282 | − | 0.0810403i | ||||
\(459\) | 4.69296e6 | + | 2.26001e6i | 1.03972 | + | 0.500702i | ||||
\(460\) | −2.72799e6 | − | 3.42079e6i | −0.601103 | − | 0.753759i | ||||
\(461\) | 507823. | − | 636789.i | 0.111291 | − | 0.139554i | −0.723066 | − | 0.690779i | \(-0.757268\pi\) |
0.834357 | + | 0.551225i | \(0.185839\pi\) | |||||||
\(462\) | −130376. | − | 62785.7i | −0.0284179 | − | 0.0136854i | ||||
\(463\) | −5.42116e6 | −1.17527 | −0.587637 | − | 0.809124i | \(-0.699942\pi\) | ||||
−0.587637 | + | 0.809124i | \(0.699942\pi\) | |||||||
\(464\) | 1.07313e6 | + | 2.96091e6i | 0.231397 | + | 0.638454i | ||||
\(465\) | 2.75244e6 | 0.590318 | ||||||||
\(466\) | 273607. | + | 131762.i | 0.0583662 | + | 0.0281077i | ||||
\(467\) | −3.38402e6 | + | 4.24343e6i | −0.718027 | + | 0.900378i | −0.998224 | − | 0.0595647i | \(-0.981029\pi\) |
0.280197 | + | 0.959942i | \(0.409600\pi\) | |||||||
\(468\) | −842439. | − | 1.05639e6i | −0.177797 | − | 0.222950i | ||||
\(469\) | −545155. | − | 262533.i | −0.114443 | − | 0.0551127i | ||||
\(470\) | −2.77745e6 | + | 1.33755e6i | −0.579964 | + | 0.279296i | ||||
\(471\) | 334176. | − | 419044.i | 0.0694102 | − | 0.0870376i | ||||
\(472\) | −774524. | − | 3.39341e6i | −0.160022 | − | 0.701102i | ||||
\(473\) | −506312. | − | 2.21830e6i | −0.104056 | − | 0.455898i | ||||
\(474\) | 377969. | + | 473958.i | 0.0772699 | + | 0.0968933i | ||||
\(475\) | 239177. | − | 1.04790e6i | 0.0486391 | − | 0.213102i | ||||
\(476\) | −728195. | −0.147309 | ||||||||
\(477\) | −1.15560e6 | + | 5.06303e6i | −0.232548 | + | 1.01886i | ||||
\(478\) | 33172.7 | − | 15975.1i | 0.00664066 | − | 0.00319798i | ||||
\(479\) | −3.58713e6 | + | 1.72747e6i | −0.714345 | + | 0.344010i | −0.755506 | − | 0.655142i | \(-0.772609\pi\) |
0.0411607 | + | 0.999153i | \(0.486894\pi\) | |||||||
\(480\) | 724518. | − | 3.17432e6i | 0.143531 | − | 0.628851i | ||||
\(481\) | −3.72054e6 | −0.733235 | ||||||||
\(482\) | −753682. | + | 3.30209e6i | −0.147765 | + | 0.647399i | ||||
\(483\) | 180405. | + | 226220.i | 0.0351868 | + | 0.0441229i | ||||
\(484\) | 731499. | + | 3.20491e6i | 0.141939 | + | 0.621874i | ||||
\(485\) | −1.12173e6 | − | 4.91463e6i | −0.216538 | − | 0.948716i | ||||
\(486\) | −1.12076e6 | + | 1.40539e6i | −0.215239 | + | 0.269902i | ||||
\(487\) | 4.32755e6 | − | 2.08404e6i | 0.826837 | − | 0.398184i | 0.0279092 | − | 0.999610i | \(-0.491115\pi\) |
0.798928 | + | 0.601427i | \(0.205401\pi\) | |||||||
\(488\) | 4.21596e6 | + | 2.03030e6i | 0.801396 | + | 0.385932i | ||||
\(489\) | 287963. | + | 361094.i | 0.0544583 | + | 0.0682886i | ||||
\(490\) | 1.50558e6 | − | 1.88794e6i | 0.283278 | − | 0.355220i | ||||
\(491\) | 8.37371e6 | + | 4.03256e6i | 1.56752 | + | 0.754879i | 0.997758 | − | 0.0669280i | \(-0.0213198\pi\) |
0.569765 | + | 0.821807i | \(0.307034\pi\) | |||||||
\(492\) | 529972. | 0.0987053 | ||||||||
\(493\) | 5.65461e6 | − | 3.64126e6i | 1.04782 | − | 0.674737i | ||||
\(494\) | −194181. | −0.0358005 | ||||||||
\(495\) | −6.29845e6 | − | 3.03317e6i | −1.15537 | − | 0.556396i | ||||
\(496\) | 1.81716e6 | − | 2.27864e6i | 0.331656 | − | 0.415884i | ||||
\(497\) | −391946. | − | 491485.i | −0.0711763 | − | 0.0892523i | ||||
\(498\) | 548140. | + | 263971.i | 0.0990418 | + | 0.0476960i | ||||
\(499\) | 9.37841e6 | − | 4.51641e6i | 1.68608 | − | 0.811973i | 0.689971 | − | 0.723837i | \(-0.257623\pi\) |
0.996108 | − | 0.0881359i | \(-0.0280910\pi\) | |||||||
\(500\) | 318854. | − | 399831.i | 0.0570384 | − | 0.0715239i | ||||
\(501\) | 660231. | + | 2.89266e6i | 0.117517 | + | 0.514877i | ||||
\(502\) | −628237. | − | 2.75249e6i | −0.111267 | − | 0.487491i | ||||
\(503\) | −4.86130e6 | − | 6.09588e6i | −0.856708 | − | 1.07428i | −0.996458 | − | 0.0840909i | \(-0.973201\pi\) |
0.139750 | − | 0.990187i | \(-0.455370\pi\) | |||||||
\(504\) | 74899.8 | − | 328158.i | 0.0131342 | − | 0.0575448i | ||||
\(505\) | −8.79774e6 | −1.53512 | ||||||||
\(506\) | −437496. | + | 1.91679e6i | −0.0759622 | + | 0.332812i | ||||
\(507\) | 2.24568e6 | − | 1.08146e6i | 0.387996 | − | 0.186849i | ||||
\(508\) | −2.74347e6 | + | 1.32119e6i | −0.471673 | + | 0.227146i | ||||
\(509\) | −623762. | + | 2.73288e6i | −0.106715 | + | 0.467548i | 0.893128 | + | 0.449803i | \(0.148506\pi\) |
−0.999843 | + | 0.0177450i | \(0.994351\pi\) | |||||||
\(510\) | −1.83872e6 | −0.313033 | ||||||||
\(511\) | −134223. | + | 588070.i | −0.0227392 | + | 0.0996269i | ||||
\(512\) | −3.73071e6 | − | 4.67816e6i | −0.628950 | − | 0.788679i | ||||
\(513\) | −289959. | − | 1.27039e6i | −0.0486455 | − | 0.213130i | ||||
\(514\) | 176080. | + | 771455.i | 0.0293969 | + | 0.128796i | ||||
\(515\) | 5.40444e6 | − | 6.77696e6i | 0.897910 | − | 1.12594i | ||||
\(516\) | −938598. | + | 452005.i | −0.155187 | + | 0.0747341i | ||||
\(517\) | −9.98743e6 | − | 4.80969e6i | −1.64334 | − | 0.791391i | ||||
\(518\) | −271947. | − | 341011.i | −0.0445308 | − | 0.0558398i | ||||
\(519\) | −2.42910e6 | + | 3.04599e6i | −0.395846 | + | 0.496375i | ||||
\(520\) | 2.20827e6 | + | 1.06345e6i | 0.358133 | + | 0.172468i | ||||
\(521\) | −4.28094e6 | −0.690948 | −0.345474 | − | 0.938428i | \(-0.612282\pi\) | ||||
−0.345474 | + | 0.938428i | \(0.612282\pi\) | |||||||
\(522\) | 498503. | + | 1.37544e6i | 0.0800740 | + | 0.220935i | ||||
\(523\) | 3.64423e6 | 0.582574 | 0.291287 | − | 0.956636i | \(-0.405917\pi\) | ||||
0.291287 | + | 0.956636i | \(0.405917\pi\) | |||||||
\(524\) | −6.24324e6 | − | 3.00659e6i | −0.993303 | − | 0.478350i | ||||
\(525\) | 263249. | − | 330104.i | 0.0416840 | − | 0.0522700i | ||||
\(526\) | 2.01622e6 | + | 2.52826e6i | 0.317741 | + | 0.398435i | ||||
\(527\) | −5.60761e6 | − | 2.70048e6i | −0.879531 | − | 0.423560i | ||||
\(528\) | 2.78952e6 | − | 1.34336e6i | 0.435456 | − | 0.209705i | ||||
\(529\) | −1.56188e6 | + | 1.95854e6i | −0.242666 | + | 0.304294i | ||||
\(530\) | −986487. | − | 4.32208e6i | −0.152546 | − | 0.668349i | ||||
\(531\) | 1.16446e6 | + | 5.10183e6i | 0.179221 | + | 0.785217i | ||||
\(532\) | 113581. | + | 142426.i | 0.0173991 | + | 0.0218177i | ||||
\(533\) | −135772. | + | 594857.i | −0.0207011 | + | 0.0906973i | ||||
\(534\) | −857522. | −0.130134 | ||||||||
\(535\) | 2.44660e6 | − | 1.07193e7i | 0.369555 | − | 1.61912i | ||||
\(536\) | −3.60394e6 | + | 1.73557e6i | −0.541833 | + | 0.260933i | ||||
\(537\) | 550221. | − | 264972.i | 0.0823382 | − | 0.0396520i | ||||
\(538\) | −155740. | + | 682343.i | −0.0231977 | + | 0.101636i | ||||
\(539\) | 8.68325e6 | 1.28739 | ||||||||
\(540\) | −1.72235e6 | + | 7.54610e6i | −0.254177 | + | 1.11362i | ||||
\(541\) | 6.75318e6 | + | 8.46822e6i | 0.992008 | + | 1.24394i | 0.969728 | + | 0.244187i | \(0.0785211\pi\) |
0.0222798 | + | 0.999752i | \(0.492908\pi\) | |||||||
\(542\) | 207933. | + | 911015.i | 0.0304036 | + | 0.133207i | ||||
\(543\) | −879827. | − | 3.85477e6i | −0.128055 | − | 0.561047i | ||||
\(544\) | −4.59047e6 | + | 5.75627e6i | −0.665059 | + | 0.833957i | ||||
\(545\) | 1.34441e7 | − | 6.47432e6i | 1.93883 | − | 0.933690i | ||||
\(546\) | −68723.7 | − | 33095.6i | −0.00986563 | − | 0.00475103i | ||||
\(547\) | 7.42095e6 | + | 9.30557e6i | 1.06045 | + | 1.32976i | 0.941555 | + | 0.336858i | \(0.109364\pi\) |
0.118896 | + | 0.992907i | \(0.462064\pi\) | |||||||
\(548\) | −3.07774e6 | + | 3.85936e6i | −0.437805 | + | 0.548990i | ||||
\(549\) | −6.33849e6 | − | 3.05246e6i | −0.897543 | − | 0.432234i | ||||
\(550\) | 2.86894e6 | 0.404404 | ||||||||
\(551\) | −1.59417e6 | − | 538022.i | −0.223694 | − | 0.0754955i | ||||
\(552\) | 1.91283e6 | 0.267195 | ||||||||
\(553\) | 589918. | + | 284090.i | 0.0820311 | + | 0.0395041i | ||||
\(554\) | 2.08329e6 | − | 2.61236e6i | 0.288386 | − | 0.361625i | ||||
\(555\) | 5.49505e6 | + | 6.89058e6i | 0.757250 | + | 0.949562i | ||||
\(556\) | 575942. | + | 277359.i | 0.0790118 | + | 0.0380501i | ||||
\(557\) | −7.70718e6 | + | 3.71158e6i | −1.05259 | + | 0.506898i | −0.878455 | − | 0.477824i | \(-0.841426\pi\) |
−0.174130 | + | 0.984723i | \(0.555711\pi\) | |||||||
\(558\) | 844127. | − | 1.05850e6i | 0.114768 | − | 0.143915i | ||||
\(559\) | −266887. | − | 1.16931e6i | −0.0361242 | − | 0.158270i | ||||
\(560\) | −206937. | − | 906649.i | −0.0278848 | − | 0.122171i | ||||
\(561\) | −4.12243e6 | − | 5.16937e6i | −0.553027 | − | 0.693474i | ||||
\(562\) | 449714. | − | 1.97033e6i | 0.0600615 | − | 0.263147i | ||||
\(563\) | 7.63543e6 | 1.01523 | 0.507613 | − | 0.861585i | \(-0.330528\pi\) | ||||
0.507613 | + | 0.861585i | \(0.330528\pi\) | |||||||
\(564\) | −1.12937e6 | + | 4.94810e6i | −0.149499 | + | 0.655000i | ||||
\(565\) | −5.59366e6 | + | 2.69377e6i | −0.737183 | + | 0.355009i | ||||
\(566\) | −2.94894e6 | + | 1.42013e6i | −0.386923 | + | 0.186332i | ||||
\(567\) | −45807.9 | + | 200698.i | −0.00598388 | + | 0.0262171i | ||||
\(568\) | −4.15580e6 | −0.540485 | ||||||||
\(569\) | −728668. | + | 3.19250e6i | −0.0943516 | + | 0.413381i | −0.999942 | − | 0.0107721i | \(-0.996571\pi\) |
0.905590 | + | 0.424153i | \(0.139428\pi\) | |||||||
\(570\) | 286796. | + | 359631.i | 0.0369731 | + | 0.0463628i | ||||
\(571\) | −2.48312e6 | − | 1.08793e7i | −0.318719 | − | 1.39640i | −0.839802 | − | 0.542893i | \(-0.817329\pi\) |
0.521083 | − | 0.853506i | \(-0.325528\pi\) | |||||||
\(572\) | 922934. | + | 4.04364e6i | 0.117945 | + | 0.516752i | ||||
\(573\) | 4.40983e6 | − | 5.52975e6i | 0.561094 | − | 0.703589i | ||||
\(574\) | −64446.4 | + | 31035.8i | −0.00816430 | + | 0.00393172i | ||||
\(575\) | −5.16848e6 | − | 2.48901e6i | −0.651918 | − | 0.313947i | ||||
\(576\) | 1.37861e6 | + | 1.72873e6i | 0.173136 | + | 0.217105i | ||||
\(577\) | −4.53192e6 | + | 5.68285e6i | −0.566687 | + | 0.710603i | −0.979778 | − | 0.200087i | \(-0.935878\pi\) |
0.413091 | + | 0.910690i | \(0.364449\pi\) | |||||||
\(578\) | 1.33421e6 | + | 642522.i | 0.166113 | + | 0.0799960i | ||||
\(579\) | −1.29320e6 | −0.160313 | ||||||||
\(580\) | 7.14493e6 | + | 6.98793e6i | 0.881918 | + | 0.862539i | ||||
\(581\) | 657109. | 0.0807601 | ||||||||
\(582\) | 934413. | + | 449990.i | 0.114349 | + | 0.0550675i | ||||
\(583\) | 9.93935e6 | − | 1.24635e7i | 1.21112 | − | 1.51869i | ||||
\(584\) | 2.48624e6 | + | 3.11765e6i | 0.301656 | + | 0.378264i | ||||
\(585\) | −3.32003e6 | − | 1.59884e6i | −0.401100 | − | 0.193160i | ||||
\(586\) | −2.27661e6 | + | 1.09636e6i | −0.273870 | + | 0.131889i | ||||
\(587\) | −588729. | + | 738243.i | −0.0705213 | + | 0.0884309i | −0.815841 | − | 0.578277i | \(-0.803725\pi\) |
0.745320 | + | 0.666707i | \(0.232297\pi\) | |||||||
\(588\) | −884658. | − | 3.87594e6i | −0.105519 | − | 0.462310i | ||||
\(589\) | 346471. | + | 1.51799e6i | 0.0411508 | + | 0.180293i | ||||
\(590\) | −2.78526e6 | − | 3.49260e6i | −0.329409 | − | 0.413066i | ||||
\(591\) | −1.19051e6 | + | 5.21596e6i | −0.140205 | + | 0.614279i | ||||
\(592\) | 9.33226e6 | 1.09442 | ||||||||
\(593\) | −1.88494e6 | + | 8.25846e6i | −0.220121 | + | 0.964411i | 0.737266 | + | 0.675602i | \(0.236116\pi\) |
−0.957387 | + | 0.288809i | \(0.906741\pi\) | |||||||
\(594\) | 3.13364e6 | − | 1.50908e6i | 0.364403 | − | 0.175487i | ||||
\(595\) | −1.78929e6 | + | 861677.i | −0.207199 | + | 0.0997820i | ||||
\(596\) | −2.45024e6 | + | 1.07352e7i | −0.282549 | + | 1.23793i | ||||
\(597\) | −8.92935e6 | −1.02538 | ||||||||
\(598\) | −230612. | + | 1.01038e6i | −0.0263712 | + | 0.115540i | ||||
\(599\) | 5.44583e6 | + | 6.82886e6i | 0.620151 | + | 0.777645i | 0.988366 | − | 0.152096i | \(-0.0486023\pi\) |
−0.368215 | + | 0.929741i | \(0.620031\pi\) | |||||||
\(600\) | −621107. | − | 2.72125e6i | −0.0704350 | − | 0.308596i | ||||
\(601\) | 733449. | + | 3.21345e6i | 0.0828292 | + | 0.362898i | 0.999308 | − | 0.0371838i | \(-0.0118387\pi\) |
−0.916479 | + | 0.400082i | \(0.868982\pi\) | |||||||
\(602\) | 87666.8 | − | 109931.i | 0.00985925 | − | 0.0123631i | ||||
\(603\) | 5.41835e6 | − | 2.60934e6i | 0.606840 | − | 0.292239i | ||||
\(604\) | −1.25789e7 | − | 6.05766e6i | −1.40297 | − | 0.675636i | ||||
\(605\) | 5.58979e6 | + | 7.00938e6i | 0.620879 | + | 0.778558i | ||||
\(606\) | 1.12853e6 | − | 1.41513e6i | 0.124833 | − | 0.156536i | ||||
\(607\) | 8.54123e6 | + | 4.11324e6i | 0.940912 | + | 0.453119i | 0.840491 | − | 0.541826i | \(-0.182267\pi\) |
0.100421 | + | 0.994945i | \(0.467981\pi\) | |||||||
\(608\) | 1.84186e6 | 0.202068 | ||||||||
\(609\) | −472501. | − | 462118.i | −0.0516249 | − | 0.0504905i | ||||
\(610\) | 6.00563e6 | 0.653483 | ||||||||
\(611\) | −5.26457e6 | − | 2.53528e6i | −0.570505 | − | 0.274741i | ||||
\(612\) | 4.51258e6 | − | 5.65859e6i | 0.487019 | − | 0.610703i | ||||
\(613\) | −2.19774e6 | − | 2.75588e6i | −0.236225 | − | 0.296216i | 0.649562 | − | 0.760308i | \(-0.274952\pi\) |
−0.885787 | + | 0.464092i | \(0.846381\pi\) | |||||||
\(614\) | −2.63725e6 | − | 1.27003e6i | −0.282312 | − | 0.135954i | ||||
\(615\) | 1.30223e6 | − | 627119.i | 0.138835 | − | 0.0668593i | ||||
\(616\) | −644214. | + | 807819.i | −0.0684035 | + | 0.0857753i | ||||
\(617\) | 2.19593e6 | + | 9.62098e6i | 0.232223 | + | 1.01743i | 0.947791 | + | 0.318892i | \(0.103311\pi\) |
−0.715568 | + | 0.698543i | \(0.753832\pi\) | |||||||
\(618\) | 396829. | + | 1.73862e6i | 0.0417958 | + | 0.183119i | ||||
\(619\) | 6.65863e6 | + | 8.34966e6i | 0.698487 | + | 0.875875i | 0.996909 | − | 0.0785588i | \(-0.0250318\pi\) |
−0.298422 | + | 0.954434i | \(0.596460\pi\) | |||||||
\(620\) | 2.05803e6 | − | 9.01681e6i | 0.215017 | − | 0.942049i | ||||
\(621\) | −6.95456e6 | −0.723670 | ||||||||
\(622\) | 334960. | − | 1.46755e6i | 0.0347150 | − | 0.152096i | ||||
\(623\) | −834469. | + | 401859.i | −0.0861371 | + | 0.0414814i | ||||
\(624\) | 1.47041e6 | − | 708112.i | 0.151174 | − | 0.0728015i | ||||
\(625\) | 2.32226e6 | − | 1.01745e7i | 0.237799 | − | 1.04187i | ||||
\(626\) | −4.30644e6 | −0.439220 | ||||||||
\(627\) | −368064. | + | 1.61259e6i | −0.0373899 | + | 0.163816i | ||||
\(628\) | −1.12289e6 | − | 1.40806e6i | −0.113616 | − | 0.142470i | ||||
\(629\) | −4.43468e6 | − | 1.94296e7i | −0.446926 | − | 1.95811i | ||||
\(630\) | −96128.7 | − | 421167.i | −0.00964943 | − | 0.0422769i | ||||
\(631\) | −4.23603e6 | + | 5.31181e6i | −0.423531 | + | 0.531091i | −0.947120 | − | 0.320880i | \(-0.896021\pi\) |
0.523589 | + | 0.851971i | \(0.324593\pi\) | |||||||
\(632\) | 3.89986e6 | − | 1.87808e6i | 0.388380 | − | 0.187034i | ||||
\(633\) | −7.81835e6 | − | 3.76512e6i | −0.775543 | − | 0.373482i | ||||
\(634\) | −2.21011e6 | − | 2.77138e6i | −0.218368 | − | 0.273825i | ||||
\(635\) | −5.17778e6 | + | 6.49273e6i | −0.509576 | + | 0.638988i | ||||
\(636\) | −6.57598e6 | − | 3.16683e6i | −0.644641 | − | 0.310443i | ||||
\(637\) | 4.57711e6 | 0.446933 | ||||||||
\(638\) | 453215. | − | 4.46795e6i | 0.0440811 | − | 0.434567i | ||||
\(639\) | 6.24805e6 | 0.605330 | ||||||||
\(640\) | −1.27895e7 | − | 6.15910e6i | −1.23425 | − | 0.594384i | ||||
\(641\) | −2.19192e6 | + | 2.74858e6i | −0.210707 | + | 0.264218i | −0.875943 | − | 0.482415i | \(-0.839760\pi\) |
0.665236 | + | 0.746633i | \(0.268331\pi\) | |||||||
\(642\) | 1.41037e6 | + | 1.76855e6i | 0.135050 | + | 0.169348i | ||||
\(643\) | 647449. | + | 311795.i | 0.0617559 | + | 0.0297401i | 0.464507 | − | 0.885570i | \(-0.346232\pi\) |
−0.402751 | + | 0.915310i | \(0.631946\pi\) | |||||||
\(644\) | 875972. | − | 421846.i | 0.0832291 | − | 0.0400810i | ||||
\(645\) | −1.77142e6 | + | 2.22130e6i | −0.167658 | + | 0.210236i | ||||
\(646\) | −231454. | − | 1.01406e6i | −0.0218214 | − | 0.0956058i | ||||
\(647\) | −1.83999e6 | − | 8.06153e6i | −0.172804 | − | 0.757106i | −0.984835 | − | 0.173491i | \(-0.944495\pi\) |
0.812031 | − | 0.583614i | \(-0.198362\pi\) | |||||||
\(648\) | 848510. | + | 1.06400e6i | 0.0793815 | + | 0.0995413i | ||||
\(649\) | 3.57450e6 | − | 1.56609e7i | 0.333122 | − | 1.45950i | ||||
\(650\) | 1.51228e6 | 0.140394 | ||||||||
\(651\) | −136099. | + | 596290.i | −0.0125865 | + | 0.0551449i | ||||
\(652\) | 1.39823e6 | − | 673352.i | 0.128813 | − | 0.0620330i | ||||
\(653\) | −1.12807e7 | + | 5.43250e6i | −1.03527 | + | 0.498559i | −0.872761 | − | 0.488148i | \(-0.837673\pi\) |
−0.162508 | + | 0.986707i | \(0.551958\pi\) | |||||||
\(654\) | −683129. | + | 2.99298e6i | −0.0624537 | + | 0.273628i | ||||
\(655\) | −1.88983e7 | −1.72116 | ||||||||
\(656\) | 340559. | − | 1.49209e6i | 0.0308981 | − | 0.135374i | ||||
\(657\) | −3.73795e6 | − | 4.68724e6i | −0.337847 | − | 0.423646i | ||||
\(658\) | −152431. | − | 667844.i | −0.0137249 | − | 0.0601326i | ||||
\(659\) | −2.79952e6 | − | 1.22655e7i | −0.251113 | − | 1.10020i | −0.930463 | − | 0.366385i | \(-0.880595\pi\) |
0.679350 | − | 0.733815i | \(-0.262262\pi\) | |||||||
\(660\) | 6.12585e6 | − | 7.68157e6i | 0.547402 | − | 0.686420i | ||||
\(661\) | 7.00590e6 | − | 3.37386e6i | 0.623678 | − | 0.300347i | −0.0952275 | − | 0.995456i | \(-0.530358\pi\) |
0.718905 | + | 0.695108i | \(0.244644\pi\) | |||||||
\(662\) | 4.13218e6 | + | 1.98995e6i | 0.366466 | + | 0.176481i | ||||
\(663\) | −2.17301e6 | − | 2.72487e6i | −0.191990 | − | 0.240748i | ||||
\(664\) | 2.70847e6 | − | 3.39632e6i | 0.238399 | − | 0.298943i | ||||
\(665\) | 447619. | + | 215562.i | 0.0392514 | + | 0.0189025i | ||||
\(666\) | 4.33513e6 | 0.378719 | ||||||||
\(667\) | −4.69273e6 | + | 7.65593e6i | −0.408424 | + | 0.666321i | ||||
\(668\) | 9.96981e6 | 0.864462 | ||||||||
\(669\) | 7.18123e6 | + | 3.45830e6i | 0.620345 | + | 0.298742i | ||||
\(670\) | −3.20088e6 | + | 4.01378e6i | −0.275475 | + | 0.345435i | ||||
\(671\) | 1.34647e7 | + | 1.68842e7i | 1.15449 | + | 1.44768i | ||||
\(672\) | 651861. | + | 313920.i | 0.0556842 | + | 0.0268161i | ||||
\(673\) | −3.98174e6 | + | 1.91750e6i | −0.338871 | + | 0.163192i | −0.595578 | − | 0.803298i | \(-0.703077\pi\) |
0.256707 | + | 0.966489i | \(0.417363\pi\) | |||||||
\(674\) | −3.06622e6 | + | 3.84491e6i | −0.259988 | + | 0.326014i | ||||
\(675\) | 2.25819e6 | + | 9.89377e6i | 0.190766 | + | 0.835800i | ||||
\(676\) | −1.86367e6 | − | 8.16529e6i | −0.156857 | − | 0.687234i | ||||
\(677\) | 3.83721e6 | + | 4.81170e6i | 0.321768 | + | 0.403485i | 0.916239 | − | 0.400633i | \(-0.131210\pi\) |
−0.594470 | + | 0.804118i | \(0.702638\pi\) | |||||||
\(678\) | 284229. | − | 1.24529e6i | 0.0237462 | − | 0.104039i | ||||
\(679\) | 1.12017e6 | 0.0932416 | ||||||||
\(680\) | −2.92146e6 | + | 1.27998e7i | −0.242286 | + | 1.06152i | ||||
\(681\) | 8.02536e6 | − | 3.86481e6i | 0.663127 | − | 0.319345i | ||||
\(682\) | −3.74437e6 | + | 1.80319e6i | −0.308261 | + | 0.148451i | ||||
\(683\) | 3.11837e6 | − | 1.36625e7i | 0.255786 | − | 1.12067i | −0.669922 | − | 0.742432i | \(-0.733672\pi\) |
0.925708 | − | 0.378239i | \(-0.123470\pi\) | |||||||
\(684\) | −1.81060e6 | −0.147973 | ||||||||
\(685\) | −2.99569e6 | + | 1.31250e7i | −0.243933 | + | 1.06874i | ||||
\(686\) | 675135. | + | 846593.i | 0.0547748 | + | 0.0686854i | ||||
\(687\) | −837753. | − | 3.67044e6i | −0.0677211 | − | 0.296706i | ||||
\(688\) | 669435. | + | 2.93299e6i | 0.0539185 | + | 0.236232i | ||||
\(689\) | 5.23922e6 | − | 6.56977e6i | 0.420454 | − | 0.527233i | ||||
\(690\) | 2.21186e6 | − | 1.06518e6i | 0.176862 | − | 0.0851724i | ||||
\(691\) | −4.23585e6 | − | 2.03988e6i | −0.337478 | − | 0.162521i | 0.257467 | − | 0.966287i | \(-0.417112\pi\) |
−0.594945 | + | 0.803766i | \(0.702826\pi\) | |||||||
\(692\) | 8.16219e6 | + | 1.02351e7i | 0.647950 | + | 0.812503i | ||||
\(693\) | 968545. | − | 1.21452e6i | 0.0766102 | − | 0.0960661i | ||||
\(694\) | 4.17989e6 | + | 2.01293e6i | 0.329432 | + | 0.158646i | ||||
\(695\) | 1.74338e6 | 0.136908 | ||||||||
\(696\) | −4.33605e6 | + | 537397.i | −0.339290 | + | 0.0420506i | ||||
\(697\) | −3.26833e6 | −0.254826 | ||||||||
\(698\) | −3.56049e6 | − | 1.71464e6i | −0.276612 | − | 0.133209i | ||||
\(699\) | 850158. | − | 1.06606e6i | 0.0658123 | − | 0.0825260i | ||||
\(700\) | −884563. | − | 1.10921e6i | −0.0682313 | − | 0.0855594i | ||||
\(701\) | −7.59446e6 | − | 3.65730e6i | −0.583716 | − | 0.281103i | 0.118630 | − | 0.992939i | \(-0.462150\pi\) |
−0.702346 | + | 0.711836i | \(0.747864\pi\) | |||||||
\(702\) | 1.65180e6 | − | 795465.i | 0.126507 | − | 0.0609226i | ||||
\(703\) | −3.10849e6 | + | 3.89792e6i | −0.237225 | + | 0.297471i | ||||
\(704\) | −1.51034e6 | − | 6.61723e6i | −0.114853 | − | 0.503204i | ||||
\(705\) | 3.08007e6 | + | 1.34947e7i | 0.233393 | + | 1.02256i | ||||
\(706\) | 1.50003e6 | + | 1.88097e6i | 0.113263 | + | 0.142027i | ||||
\(707\) | 435019. | − | 1.90594e6i | 0.0327310 | − | 0.143404i | ||||
\(708\) | −7.35472e6 | −0.551421 | ||||||||
\(709\) | −4.71313e6 | + | 2.06496e7i | −0.352122 | + | 1.54275i | 0.420149 | + | 0.907455i | \(0.361978\pi\) |
−0.772271 | + | 0.635293i | \(0.780879\pi\) | |||||||
\(710\) | −4.80548e6 | + | 2.31420e6i | −0.357759 | + | 0.172288i | ||||
\(711\) | −5.86326e6 | + | 2.82360e6i | −0.434976 | + | 0.209473i | ||||
\(712\) | −1.36248e6 | + | 5.96940e6i | −0.100723 | + | 0.441297i | ||||
\(713\) | 8.30998e6 | 0.612176 | ||||||||
\(714\) | 90918.7 | − | 398341.i | 0.00667433 | − | 0.0292422i | ||||
\(715\) | 7.05266e6 | + | 8.84375e6i | 0.515926 | + | 0.646951i | ||||
\(716\) | −456625. | − | 2.00061e6i | −0.0332872 | − | 0.145841i | ||||
\(717\) | −36787.2 | − | 161175.i | −0.00267238 | − | 0.0117085i | ||||
\(718\) | 1.52514e6 | − | 1.91247e6i | 0.110408 | − | 0.138447i | ||||
\(719\) | 4.05707e6 | − | 1.95378e6i | 0.292678 | − | 0.140946i | −0.281783 | − | 0.959478i | \(-0.590926\pi\) |
0.574461 | + | 0.818532i | \(0.305212\pi\) | |||||||
\(720\) | 8.32768e6 | + | 4.01040e6i | 0.598677 | + | 0.288308i | ||||
\(721\) | 1.20093e6 | + | 1.50592e6i | 0.0860358 | + | 0.107885i | ||||
\(722\) | 2.74844e6 | − | 3.44643e6i | 0.196220 | − | 0.246052i | ||||
\(723\) | 1.37019e7 | + | 6.59848e6i | 0.974843 | + | 0.469460i | ||||
\(724\) | −1.32858e7 | −0.941980 | ||||||||
\(725\) | 1.24153e7 | + | 4.19010e6i | 0.877228 | + | 0.296060i | ||||
\(726\) | −1.84450e6 | −0.129878 | ||||||||
\(727\) | −3.19790e6 | − | 1.54003e6i | −0.224403 | − | 0.108067i | 0.318304 | − | 0.947989i | \(-0.396887\pi\) |
−0.542708 | + | 0.839922i | \(0.682601\pi\) | |||||||
\(728\) | −339577. | + | 425817.i | −0.0237471 | + | 0.0297779i | ||||
\(729\) | 3.22302e6 | + | 4.04154e6i | 0.224618 | + | 0.281662i | ||||
\(730\) | 4.61101e6 | + | 2.22054e6i | 0.320250 | + | 0.154224i | ||||
\(731\) | 5.78832e6 | − | 2.78751e6i | 0.400644 | − | 0.192940i | ||||
\(732\) | 6.16479e6 | − | 7.73041e6i | 0.425247 | − | 0.533242i | ||||
\(733\) | 401880. | + | 1.76075e6i | 0.0276271 | + | 0.121042i | 0.986861 | − | 0.161571i | \(-0.0516559\pi\) |
−0.959234 | + | 0.282613i | \(0.908799\pi\) | |||||||
\(734\) | −1.55630e6 | − | 6.81859e6i | −0.106623 | − | 0.467148i | ||||
\(735\) | −6.76016e6 | − | 8.47698e6i | −0.461571 | − | 0.578792i | ||||
\(736\) | 2.18741e6 | − | 9.58369e6i | 0.148846 | − | 0.652136i | ||||
\(737\) | −1.84607e7 | −1.25193 | ||||||||
\(738\) | 158200. | − | 693121.i | 0.0106922 | − | 0.0468455i | ||||
\(739\) | −4.26102e6 | + | 2.05200e6i | −0.287014 | + | 0.138219i | −0.571851 | − | 0.820357i | \(-0.693775\pi\) |
0.284838 | + | 0.958576i | \(0.408060\pi\) | |||||||
\(740\) | 2.66817e7 | − | 1.28492e7i | 1.79116 | − | 0.862578i | ||||
\(741\) | −194013. | + | 850028.i | −0.0129803 | + | 0.0568706i | ||||
\(742\) | 985115. | 0.0656866 | ||||||||
\(743\) | 5.38315e6 | − | 2.35851e7i | 0.357737 | − | 1.56735i | −0.401078 | − | 0.916044i | \(-0.631364\pi\) |
0.758815 | − | 0.651306i | \(-0.225779\pi\) | |||||||
\(744\) | 2.52100e6 | + | 3.16123e6i | 0.166971 | + | 0.209374i | ||||
\(745\) | 6.68240e6 | + | 2.92775e7i | 0.441105 | + | 1.93261i | ||||
\(746\) | −436010. | − | 1.91028e6i | −0.0286846 | − | 0.125676i | ||||
\(747\) | −4.07206e6 | + | 5.10620e6i | −0.267001 | + | 0.334808i | ||||
\(748\) | −2.00169e7 | + | 9.63961e6i | −1.30810 | + | 0.629949i | ||||
\(749\) | 2.20125e6 | + | 1.06006e6i | 0.143372 | + | 0.0690443i | ||||
\(750\) | 178907. | + | 224342.i | 0.0116138 | + | 0.0145632i | ||||
\(751\) | −9.86991e6 | + | 1.23765e7i | −0.638577 | + | 0.800750i | −0.990824 | − | 0.135157i | \(-0.956846\pi\) |
0.352247 | + | 0.935907i | \(0.385418\pi\) | |||||||
\(752\) | 1.32052e7 | + | 6.35928e6i | 0.851529 | + | 0.410075i | ||||
\(753\) | −1.26767e7 | −0.814741 | ||||||||
\(754\) | 238898. | − | 2.35514e6i | 0.0153033 | − | 0.150865i | ||||
\(755\) | −3.80763e7 | −2.43101 | ||||||||
\(756\) | −1.54962e6 | − | 746259.i | −0.0986101 | − | 0.0474881i | ||||
\(757\) | 1.57574e7 | − | 1.97591e7i | 0.999411 | − | 1.25322i | 0.0321381 | − | 0.999483i | \(-0.489768\pi\) |
0.967273 | − | 0.253738i | \(-0.0816602\pi\) | |||||||
\(758\) | 1.65966e6 | + | 2.08114e6i | 0.104917 | + | 0.131562i | ||||
\(759\) | 7.95365e6 | + | 3.83027e6i | 0.501143 | + | 0.241338i | ||||
\(760\) | 2.95915e6 | − | 1.42505e6i | 0.185837 | − | 0.0894945i | ||||
\(761\) | 3.18187e6 | − | 3.98994e6i | 0.199168 | − | 0.249749i | −0.672210 | − | 0.740360i | \(-0.734655\pi\) |
0.871379 | + | 0.490611i | \(0.163226\pi\) | |||||||
\(762\) | −380186. | − | 1.66570e6i | −0.0237197 | − | 0.103923i | ||||
\(763\) | 737833. | + | 3.23266e6i | 0.0458825 | + | 0.201024i | ||||
\(764\) | −1.48178e7 | − | 1.85809e7i | −0.918439 | − | 1.15169i | ||||
\(765\) | 4.39228e6 | − | 1.92438e7i | 0.271354 | − | 1.18888i | ||||
\(766\) | −1.72879e6 | −0.106456 | ||||||||
\(767\) | 1.88419e6 | − | 8.25516e6i | 0.115647 | − | 0.506684i | ||||
\(768\) | −518466. | + | 249680.i | −0.0317188 | + | 0.0152750i | ||||
\(769\) | −1.65065e7 | + | 7.94911e6i | −1.00656 | + | 0.484733i | −0.863159 | − | 0.504932i | \(-0.831518\pi\) |
−0.143399 | + | 0.989665i | \(0.545803\pi\) | |||||||
\(770\) | −295083. | + | 1.29284e6i | −0.0179356 | + | 0.0785812i | ||||
\(771\) | 3.55297e6 | 0.215256 | ||||||||
\(772\) | −966939. | + | 4.23643e6i | −0.0583923 | + | 0.255833i | ||||
\(773\) | 820219. | + | 1.02852e6i | 0.0493721 | + | 0.0619106i | 0.805904 | − | 0.592046i | \(-0.201679\pi\) |
−0.756532 | + | 0.653956i | \(0.773108\pi\) | |||||||
\(774\) | 310974. | + | 1.36247e6i | 0.0186583 | + | 0.0817473i | ||||
\(775\) | −2.69830e6 | − | 1.18220e7i | −0.161375 | − | 0.707030i | ||||
\(776\) | 4.61712e6 | − | 5.78969e6i | 0.275244 | − | 0.345145i | ||||
\(777\) | −1.76449e6 | + | 849733.i | −0.104849 | + | 0.0504928i | ||||
\(778\) | 1.97888e6 | + | 952977.i | 0.117211 | + | 0.0564460i | ||||
\(779\) | 509780. | + | 639244.i | 0.0300981 | + | 0.0377418i | ||||
\(780\) | 3.22905e6 | − | 4.04910e6i | 0.190037 | − | 0.238299i | ||||
\(781\) | −1.72800e7 | − | 8.32163e6i | −1.01372 | − | 0.488181i | ||||
\(782\) | −5.55134e6 | −0.324624 | ||||||||
\(783\) | 1.57648e7 | − | 1.95384e6i | 0.918932 | − | 0.113890i | ||||
\(784\) | −1.14808e7 | −0.667087 | ||||||||
\(785\) | −4.42528e6 | − | 2.13110e6i | −0.256311 | − | 0.123433i | ||||
\(786\) | 2.42418e6 | − | 3.03982e6i | 0.139961 | − | 0.175506i | ||||
\(787\) | −1.14878e6 | − | 1.44052e6i | −0.0661149 | − | 0.0829054i | 0.747674 | − | 0.664066i | \(-0.231170\pi\) |
−0.813789 | + | 0.581160i | \(0.802599\pi\) | |||||||
\(788\) | 1.61970e7 | + | 7.80004e6i | 0.929218 | + | 0.447488i | ||||
\(789\) | 1.30820e7 | − | 6.29994e6i | 0.748135 | − | 0.360283i | ||||
\(790\) | 3.46371e6 | − | 4.34335e6i | 0.197457 | − | 0.247604i | ||||
\(791\) | −306990. | − | 1.34501e6i | −0.0174455 | − | 0.0764336i | ||||
\(792\) | −2.28517e6 | − | 1.00120e7i | −0.129451 | − | 0.567163i | ||||
\(793\) | 7.09750e6 | + | 8.89998e6i | 0.400795 | + | 0.502581i | ||||
\(794\) | −2.31010e6 | + | 1.01212e7i | −0.130041 | + | 0.569746i | ||||
\(795\) | −1.99055e7 | −1.11701 | ||||||||
\(796\) | −6.67655e6 | + | 2.92519e7i | −0.373482 | + | 1.63633i | ||||
\(797\) | −1.16157e7 | + | 5.59385e6i | −0.647741 | + | 0.311935i | −0.728752 | − | 0.684778i | \(-0.759899\pi\) |
0.0810114 | + | 0.996713i | \(0.474185\pi\) | |||||||
\(798\) | −92091.6 | + | 44349.0i | −0.00511933 | + | 0.00246534i | ||||
\(799\) | 6.96482e6 | − | 3.05149e7i | 0.385961 | − | 1.69100i | ||||
\(800\) | −1.43443e7 | −0.792419 | ||||||||
\(801\) | 2.04842e6 | − | 8.97471e6i | 0.112807 | − | 0.494241i | ||||
\(802\) | −1.55348e6 | − | 1.94800e6i | −0.0852844 | − | 0.106943i | ||||
\(803\) | 4.09511e6 | + | 1.79418e7i | 0.224118 | + | 0.981924i | ||||
\(804\) | 1.88079e6 | + | 8.24030e6i | 0.102613 | + | 0.449576i | ||||
\(805\) | 1.65323e6 | − | 2.07308e6i | 0.0899173 | − | 0.112753i | ||||
\(806\) | −1.97373e6 | + | 950499.i | −0.107016 | + | 0.0515364i | ||||
\(807\) | 2.83135e6 | + | 1.36351e6i | 0.153042 | + | 0.0737010i | ||||
\(808\) | −8.05795e6 | − | 1.01043e7i | −0.434206 | − | 0.544478i | ||||
\(809\) | 4.24160e6 | − | 5.31880e6i | 0.227855 | − | 0.285721i | −0.654741 | − | 0.755853i | \(-0.727222\pi\) |
0.882596 | + | 0.470132i | \(0.155794\pi\) | |||||||
\(810\) | 1.57365e6 | + | 757832.i | 0.0842747 | + | 0.0405845i | ||||
\(811\) | 1.36338e7 | 0.727890 | 0.363945 | − | 0.931420i | \(-0.381430\pi\) | ||||
0.363945 | + | 0.931420i | \(0.381430\pi\) | |||||||
\(812\) | −1.86716e6 | + | 1.20235e6i | −0.0993783 | + | 0.0639942i | ||||
\(813\) | 4.19572e6 | 0.222628 | ||||||||
\(814\) | −1.19896e7 | − | 5.77386e6i | −0.634223 | − | 0.305426i | ||||
\(815\) | 2.63889e6 | − | 3.30906e6i | 0.139164 | − | 0.174506i | ||||
\(816\) | 5.45059e6 | + | 6.83483e6i | 0.286562 | + | 0.359337i | ||||
\(817\) | −1.44804e6 | − | 697339.i | −0.0758971 | − | 0.0365501i | ||||
\(818\) | 1.11268e6 | − | 535840.i | 0.0581418 | − | 0.0279996i | ||||
\(819\) | 510538. | − | 640195.i | 0.0265961 | − | 0.0333505i | ||||
\(820\) | −1.08071e6 | − | 4.73490e6i | −0.0561273 | − | 0.245910i | ||||
\(821\) | −3.19675e6 | − | 1.40059e7i | −0.165520 | − | 0.725191i | −0.987751 | − | 0.156037i | \(-0.950128\pi\) |
0.822231 | − | 0.569154i | \(-0.192729\pi\) | |||||||
\(822\) | −1.72690e6 | − | 2.16546e6i | −0.0891429 | − | 0.111782i | ||||
\(823\) | −3.69166e6 | + | 1.61742e7i | −0.189986 | + | 0.832384i | 0.786635 | + | 0.617418i | \(0.211821\pi\) |
−0.976622 | + | 0.214966i | \(0.931036\pi\) | |||||||
\(824\) | 1.27334e7 | 0.653323 | ||||||||
\(825\) | 2.86647e6 | − | 1.25588e7i | 0.146626 | − | 0.642412i | ||||
\(826\) | 894360. | − | 430701.i | 0.0456102 | − | 0.0219647i | ||||
\(827\) | −6.05767e6 | + | 2.91722e6i | −0.307994 | + | 0.148322i | −0.581496 | − | 0.813549i | \(-0.697532\pi\) |
0.273502 | + | 0.961871i | \(0.411818\pi\) | |||||||
\(828\) | −2.15030e6 | + | 9.42107e6i | −0.108999 | + | 0.477556i | ||||
\(829\) | 2.97636e7 | 1.50418 | 0.752088 | − | 0.659063i | \(-0.229047\pi\) | ||||
0.752088 | + | 0.659063i | \(0.229047\pi\) | |||||||
\(830\) | 1.24062e6 | − | 5.43550e6i | 0.0625090 | − | 0.273870i | ||||
\(831\) | −9.35412e6 | − | 1.17297e7i | −0.469894 | − | 0.589229i | ||||
\(832\) | −796129. | − | 3.48807e6i | −0.0398726 | − | 0.174693i | ||||
\(833\) | 5.45567e6 | + | 2.39028e7i | 0.272418 | + | 1.19354i | ||||
\(834\) | −223631. | + | 280425.i | −0.0111331 | + | 0.0139605i | ||||
\(835\) | 2.44974e7 | − | 1.17973e7i | 1.21592 | − | 0.585555i | ||||
\(836\) | 5.00753e6 | + | 2.41150e6i | 0.247804 | + | 0.119336i | ||||
\(837\) | −9.16570e6 | − | 1.14934e7i | −0.452222 | − | 0.567069i | ||||
\(838\) | −6.56968e6 | + | 8.23812e6i | −0.323172 | + | 0.405245i | ||||
\(839\) | 5.84520e6 | + | 2.81490e6i | 0.286678 | + | 0.138057i | 0.571697 | − | 0.820465i | \(-0.306285\pi\) |
−0.285018 | + | 0.958522i | \(0.592000\pi\) | |||||||
\(840\) | 1.29017e6 | 0.0630882 | ||||||||
\(841\) | 8.48672e6 | − | 1.86730e7i | 0.413761 | − | 0.910385i | ||||
\(842\) | 2.16260e6 | 0.105123 | ||||||||
\(843\) | −8.17579e6 | − | 3.93725e6i | −0.396242 | − | 0.190820i | ||||
\(844\) | −1.81801e7 | + | 2.27971e7i | −0.878497 | + | 1.10160i | ||||
\(845\) | −1.42414e7 | − | 1.78581e7i | −0.686136 | − | 0.860387i | ||||
\(846\) | 6.13422e6 | + | 2.95409e6i | 0.294668 | + | 0.141905i | ||||
\(847\) | −1.79491e6 | + | 864383.i | −0.0859675 | + | 0.0413997i | ||||
\(848\) | −1.31416e7 | + | 1.64790e7i | −0.627565 | + | 0.786941i | ||||
\(849\) | 3.27024e6 | + | 1.43279e7i | 0.155708 | + | 0.682201i | ||||
\(850\) | 1.80255e6 | + | 7.89750e6i | 0.0855738 | + | 0.374923i | ||||
\(851\) | 1.65903e7 | + | 2.08035e7i | 0.785289 | + | 0.984721i | ||||
\(852\) | −1.95402e6 | + | 8.56110e6i | −0.0922209 | + | 0.404046i | ||||
\(853\) | −2.12144e7 | −0.998296 | −0.499148 | − | 0.866517i | \(-0.666354\pi\) | ||||
−0.499148 | + | 0.866517i | \(0.666354\pi\) | |||||||
\(854\) | −296959. | + | 1.30106e6i | −0.0139332 | + | 0.0610454i | ||||
\(855\) | −4.44894e6 | + | 2.14250e6i | −0.208133 | + | 0.100232i | ||||
\(856\) | 1.45521e7 | − | 7.00793e6i | 0.678800 | − | 0.326893i | ||||
\(857\) | −1.26156e6 | + | 5.52726e6i | −0.0586754 | + | 0.257074i | −0.995755 | − | 0.0920416i | \(-0.970661\pi\) |
0.937080 | + | 0.349115i | \(0.113518\pi\) | |||||||
\(858\) | −2.32720e6 | −0.107924 | ||||||||
\(859\) | 860927. | − | 3.77197e6i | 0.0398092 | − | 0.174415i | −0.951115 | − | 0.308837i | \(-0.900060\pi\) |
0.990924 | + | 0.134421i | \(0.0429175\pi\) | |||||||
\(860\) | 5.95229e6 | + | 7.46394e6i | 0.274434 | + | 0.344130i | ||||
\(861\) | 71468.4 | + | 313123.i | 0.00328553 | + | 0.0143949i | ||||
\(862\) | 723361. | + | 3.16925e6i | 0.0331579 | + | 0.145274i | ||||
\(863\) | −1.33448e7 | + | 1.67338e7i | −0.609936 | + | 0.764836i | −0.986890 | − | 0.161396i | \(-0.948400\pi\) |
0.376954 | + | 0.926232i | \(0.376972\pi\) | |||||||
\(864\) | −1.56677e7 | + | 7.54518e6i | −0.714039 | + | 0.343863i | ||||
\(865\) | 3.21670e7 | + | 1.54908e7i | 1.46174 | + | 0.703937i | ||||
\(866\) | 4.49562e6 | + | 5.63733e6i | 0.203702 | + | 0.255434i | ||||
\(867\) | 4.14570e6 | − | 5.19854e6i | 0.187305 | − | 0.234873i | ||||
\(868\) | 1.85164e6 | + | 891703.i | 0.0834175 | + | 0.0401718i | ||||
\(869\) | 1.99765e7 | 0.897368 | ||||||||
\(870\) | −4.71465e6 | + | 3.03598e6i | −0.211179 | + | 0.135988i | ||||
\(871\) | −9.73099e6 | −0.434622 | ||||||||
\(872\) | 1.97494e7 | + | 9.51083e6i | 0.879556 | + | 0.423572i | ||||
\(873\) | −6.94162e6 | + | 8.70452e6i | −0.308266 | + | 0.386553i | ||||
\(874\) | 865874. | + | 1.08577e6i | 0.0383421 | + | 0.0480795i | ||||
\(875\) | 279230. | + | 134470.i | 0.0123294 | + | 0.00593753i | ||||
\(876\) | 7.59148e6 | − | 3.65586e6i | 0.334246 | − | 0.160964i | ||||
\(877\) | 3.43785e6 | − | 4.31093e6i | 0.150934 | − | 0.189266i | −0.700616 | − | 0.713539i | \(-0.747091\pi\) |
0.851550 | + | 0.524273i | \(0.175663\pi\) | |||||||
\(878\) | −575259. | − | 2.52037e6i | −0.0251841 | − | 0.110339i | ||||
\(879\) | 2.52466e6 | + | 1.10613e7i | 0.110213 | + | 0.482873i | ||||
\(880\) | −1.76903e7 | − | 2.21829e7i | −0.770065 | − | 0.965631i | ||||
\(881\) | 8.58663e6 | − | 3.76205e7i | 0.372720 | − | 1.63299i | −0.346384 | − | 0.938093i | \(-0.612591\pi\) |
0.719105 | − | 0.694902i | \(-0.244552\pi\) | |||||||
\(882\) | −5.33320e6 | −0.230843 | ||||||||
\(883\) | −2.26219e6 | + | 9.91130e6i | −0.0976399 | + | 0.427788i | −0.999995 | − | 0.00320526i | \(-0.998980\pi\) |
0.902355 | + | 0.430994i | \(0.141837\pi\) | |||||||
\(884\) | −1.05513e7 | + | 5.08122e6i | −0.454123 | + | 0.218694i | ||||
\(885\) | −1.80717e7 | + | 8.70288e6i | −0.775606 | + | 0.373512i | ||||
\(886\) | 74078.0 | − | 324557.i | 0.00317033 | − | 0.0138901i | ||||
\(887\) | −8.54666e6 | −0.364743 | −0.182372 | − | 0.983230i | \(-0.558377\pi\) | ||||
−0.182372 | + | 0.983230i | \(0.558377\pi\) | |||||||
\(888\) | −2.88096e6 | + | 1.26223e7i | −0.122604 | + | 0.537164i | ||||
\(889\) | −1.15056e6 | − | 1.44276e6i | −0.0488265 | − | 0.0612265i | ||||
\(890\) | 1.74864e6 | + | 7.66131e6i | 0.0739990 | + | 0.324211i | ||||
\(891\) | 1.39759e6 | + | 6.12323e6i | 0.0589773 | + | 0.258396i | ||||
\(892\) | 1.66986e7 | − | 2.09394e7i | 0.702696 | − | 0.881154i | ||||
\(893\) | −7.05467e6 | + | 3.39735e6i | −0.296038 | + | 0.142565i | ||||
\(894\) | −5.56650e6 | − | 2.68069e6i | −0.232937 | − | 0.112177i | ||||
\(895\) | −3.48933e6 | − | 4.37548e6i | −0.145608 | − | 0.182586i | ||||
\(896\) | 1.96671e6 | − | 2.46617e6i | 0.0818408 | − | 0.102625i | ||||
\(897\) | 4.19252e6 | + | 2.01901e6i | 0.173978 | + | 0.0837833i | ||||
\(898\) | −6.14387e6 | −0.254244 | ||||||||
\(899\) | −1.88373e7 | + | 2.33464e6i | −0.777354 | + | 0.0963430i | ||||
\(900\) | 1.41009e7 | 0.580284 | ||||||||
\(901\) | 4.05539e7 | + | 1.95298e7i | 1.66426 | + | 0.801465i | ||||
\(902\) | −1.36068e6 | + | 1.70624e6i | −0.0556853 | + | 0.0698271i | ||||
\(903\) | −393631. | − | 493597.i | −0.0160646 | − | 0.0201444i | ||||
\(904\) | −8.21714e6 | − | 3.95717e6i | −0.334426 | − | 0.161051i | ||||
\(905\) | −3.26454e7 | + | 1.57212e7i | −1.32495 | + | 0.638063i | ||||
\(906\) | 4.88422e6 | − | 6.12462e6i | 0.197686 | − | 0.247890i | ||||
\(907\) | −3.87895e6 | − | 1.69948e7i | −0.156566 | − | 0.685959i | −0.990889 | − | 0.134683i | \(-0.956998\pi\) |
0.834323 | − | 0.551276i | \(-0.185859\pi\) | |||||||
\(908\) | −6.66020e6 | − | 2.91803e7i | −0.268085 | − | 1.17456i | ||||
\(909\) | 1.21147e7 | + | 1.51914e7i | 0.486300 | + | 0.609801i | ||||
\(910\) | −155544. | + | 681481.i | −0.00622657 | + | 0.0272804i | ||||
\(911\) | 2.64582e7 | 1.05624 | 0.528122 | − | 0.849168i | \(-0.322896\pi\) | ||||
0.528122 | + | 0.849168i | \(0.322896\pi\) | |||||||
\(912\) | 486646. | − | 2.13214e6i | 0.0193743 | − | 0.0848843i | ||||
\(913\) | 1.80628e7 | − | 8.69859e6i | 0.717147 | − | 0.345360i | ||||
\(914\) | 6.95248e6 | − | 3.34814e6i | 0.275280 | − | 0.132568i | ||||
\(915\) | 6.00044e6 | − | 2.62897e7i | 0.236936 | − | 1.03808i | ||||
\(916\) | −1.26505e7 | −0.498159 | ||||||||
\(917\) | 934460. | − | 4.09414e6i | 0.0366976 | − | 0.160783i | ||||
\(918\) | 6.12298e6 | + | 7.67798e6i | 0.239804 | + | 0.300705i | ||||
\(919\) | −4.11780e6 | − | 1.80413e7i | −0.160834 | − | 0.704658i | −0.989454 | − | 0.144847i | \(-0.953731\pi\) |
0.828620 | − | 0.559811i | \(-0.189126\pi\) | |||||||
\(920\) | −3.90061e6 | − | 1.70897e7i | −0.151937 | − | 0.665678i | ||||
\(921\) | −8.19453e6 | + | 1.02756e7i | −0.318328 | + | 0.399171i | ||||
\(922\) | 1.38353e6 | − | 666273.i | 0.0535996 | − | 0.0258122i | ||||
\(923\) | −9.10864e6 | − | 4.38649e6i | −0.351924 | − | 0.169478i | ||||
\(924\) | 1.36123e6 | + | 1.70693e6i | 0.0524509 | + | 0.0657713i | ||||
\(925\) | 2.42088e7 | − | 3.03568e7i | 0.930290 | − | 1.16655i | ||||
\(926\) | −9.20869e6 | − | 4.43467e6i | −0.352915 | − | 0.169955i | ||||
\(927\) | −1.91441e7 | −0.731705 | ||||||||
\(928\) | −2.26601e6 | + | 2.23391e7i | −0.0863757 | + | 0.851521i | ||||
\(929\) | 3.20100e7 | 1.21687 | 0.608437 | − | 0.793602i | \(-0.291797\pi\) | ||||
0.608437 | + | 0.793602i | \(0.291797\pi\) | |||||||
\(930\) | 4.67546e6 | + | 2.25158e6i | 0.177263 | + | 0.0853652i | ||||
\(931\) | 3.82414e6 | − | 4.79533e6i | 0.144597 | − | 0.181319i | ||||
\(932\) | −2.85668e6 | − | 3.58216e6i | −0.107726 | − | 0.135085i | ||||
\(933\) | −6.08955e6 | − | 2.93257e6i | −0.229024 | − | 0.110292i | ||||
\(934\) | −9.21955e6 | + | 4.43990e6i | −0.345814 | + | 0.166535i | ||||
\(935\) | −3.77780e7 | + | 4.73721e7i | −1.41322 | + | 1.77212i | ||||
\(936\) | −1.20456e6 | − | 5.27751e6i | −0.0449405 | − | 0.196897i | ||||
\(937\) | 3.00040e6 | + | 1.31456e7i | 0.111643 | + | 0.489138i | 0.999575 | + | 0.0291635i | \(0.00928434\pi\) |
−0.887932 | + | 0.459975i | \(0.847859\pi\) | |||||||
\(938\) | −711272. | − | 891907.i | −0.0263954 | − | 0.0330988i | ||||
\(939\) | −4.30272e6 | + | 1.88514e7i | −0.159250 | + | 0.697719i | ||||
\(940\) | 4.65105e7 | 1.71685 | ||||||||
\(941\) | 1.12517e7 | − | 4.92970e7i | 0.414233 | − | 1.81487i | −0.149316 | − | 0.988789i | \(-0.547707\pi\) |
0.563549 | − | 0.826083i | \(-0.309436\pi\) | |||||||
\(942\) | 910442. | − | 438446.i | 0.0334291 | − | 0.0160986i | ||||
\(943\) | 3.93159e6 | − | 1.89335e6i | 0.143976 | − | 0.0693349i | ||||
\(944\) | −4.72613e6 | + | 2.07065e7i | −0.172614 | + | 0.756270i | ||||
\(945\) | −4.69072e6 | −0.170868 | ||||||||
\(946\) | 954585. | − | 4.18231e6i | 0.0346806 | − | 0.151946i | ||||
\(947\) | −1.09978e7 | − | 1.37908e7i | −0.398501 | − | 0.499705i | 0.541583 | − | 0.840647i | \(-0.317825\pi\) |
−0.940084 | + | 0.340943i | \(0.889254\pi\) | |||||||
\(948\) | −2.03523e6 | − | 8.91692e6i | −0.0735516 | − | 0.322251i | ||||
\(949\) | 2.15861e6 | + | 9.45748e6i | 0.0778052 | + | 0.340887i | ||||
\(950\) | 1.26350e6 | − | 1.58437e6i | 0.0454219 | − | 0.0569572i | ||||
\(951\) | −1.43399e7 | + | 6.90575e6i | −0.514157 | + | 0.247605i | ||||
\(952\) | −2.62848e6 | − | 1.26581e6i | −0.0939968 | − | 0.0452665i | ||||
\(953\) | −6.99418e6 | − | 8.77042e6i | −0.249462 | − | 0.312815i | 0.641296 | − | 0.767294i | \(-0.278397\pi\) |
−0.890758 | + | 0.454478i | \(0.849826\pi\) | |||||||
\(954\) | −6.10469e6 | + | 7.65504e6i | −0.217166 | + | 0.272318i | ||||
\(955\) | −5.83966e7 | − | 2.81223e7i | −2.07195 | − | 0.997798i | ||||
\(956\) | −555504. | −0.0196581 | ||||||||
\(957\) | −1.91056e7 | − | 6.44804e6i | −0.674344 | − | 0.227587i | ||||
\(958\) | −7.50643e6 | −0.264253 | ||||||||
\(959\) | −2.69527e6 | − | 1.29797e6i | −0.0946358 | − | 0.0455742i | ||||
\(960\) | −5.28419e6 | + | 6.62617e6i | −0.185055 | + | 0.232051i | ||||
\(961\) | −6.89792e6 | − | 8.64972e6i | −0.240940 | − | 0.302130i | ||||
\(962\) | −6.31992e6 | − | 3.04351e6i | −0.220178 | − | 0.106032i | ||||
\(963\) | −2.18784e7 | + | 1.05361e7i | −0.760239 | + | 0.366112i | ||||
\(964\) | 3.18612e7 | − | 3.99527e7i | 1.10425 | − | 1.38469i | ||||
\(965\) | 2.63707e6 | + | 1.15538e7i | 0.0911599 | + | 0.399398i | ||||
\(966\) | 121391. | + | 531848.i | 0.00418546 | + | 0.0183377i | ||||
\(967\) | 1.12214e7 | + | 1.40712e7i | 0.385907 | + | 0.483912i | 0.936403 | − | 0.350926i | \(-0.114133\pi\) |
−0.550497 | + | 0.834837i | \(0.685562\pi\) | |||||||
\(968\) | −2.93063e6 | + | 1.28399e7i | −0.100525 | + | 0.440428i | ||||
\(969\) | −4.67032e6 | −0.159786 | ||||||||
\(970\) | 2.11488e6 | − | 9.26588e6i | 0.0721698 | − | 0.316197i | ||||
\(971\) | 3.69211e7 | − | 1.77803e7i | 1.25669 | − | 0.605188i | 0.317390 | − | 0.948295i | \(-0.397194\pi\) |
0.939296 | + | 0.343107i | \(0.111479\pi\) | |||||||
\(972\) | 2.44348e7 | − | 1.17672e7i | 0.829550 | − | 0.399490i | ||||
\(973\) | −86204.4 | + | 377686.i | −0.00291909 | + | 0.0127894i | ||||
\(974\) | 9.05584e6 | 0.305866 | ||||||||
\(975\) | 1.51097e6 | − | 6.61999e6i | 0.0509031 | − | 0.223021i | ||||
\(976\) | −1.78027e7 | − | 2.23239e7i | −0.598221 | − | 0.750146i | ||||
\(977\) | −1.00785e7 | − | 4.41569e7i | −0.337801 | − | 1.48000i | −0.803631 | − | 0.595129i | \(-0.797101\pi\) |
0.465829 | − | 0.884875i | \(-0.345756\pi\) | |||||||
\(978\) | 193764. | + | 848938.i | 0.00647779 | + | 0.0283811i | ||||
\(979\) | −1.76185e7 | + | 2.20928e7i | −0.587504 | + | 0.736707i | ||||
\(980\) | −3.28246e7 | + | 1.58075e7i | −1.09178 | + | 0.525772i | ||||
\(981\) | −2.96923e7 | − | 1.42991e7i | −0.985081 | − | 0.474390i | ||||
\(982\) | 1.09253e7 | + | 1.36999e7i | 0.361539 | + | 0.453355i | ||||
\(983\) | −2.23902e7 | + | 2.80764e7i | −0.739049 | + | 0.926739i | −0.999246 | − | 0.0388170i | \(-0.987641\pi\) |
0.260197 | + | 0.965556i | \(0.416212\pi\) | |||||||
\(984\) | 1.91298e6 | + | 921243.i | 0.0629829 | + | 0.0303310i | ||||
\(985\) | 4.90283e7 | 1.61011 | ||||||||
\(986\) | 1.25839e7 | − | 1.55961e6i | 0.412215 | − | 0.0510887i | ||||
\(987\) | −3.07579e6 | −0.100499 | ||||||||
\(988\) | 2.63957e6 | + | 1.27115e6i | 0.0860280 | + | 0.0414289i | ||||
\(989\) | −5.34816e6 | + | 6.70638e6i | −0.173866 | + | 0.218020i | ||||
\(990\) | −8.21768e6 | − | 1.03047e7i | −0.266478 | − | 0.334153i | ||||
\(991\) | −3.56727e7 | − | 1.71790e7i | −1.15386 | − | 0.555667i | −0.243666 | − | 0.969859i | \(-0.578350\pi\) |
−0.910190 | + | 0.414192i | \(0.864064\pi\) | |||||||
\(992\) | 1.87213e7 | − | 9.01571e6i | 0.604028 | − | 0.290885i | ||||
\(993\) | 1.28396e7 | − | 1.61004e7i | 0.413218 | − | 0.518159i | ||||
\(994\) | −263733. | − | 1.15549e6i | −0.00846639 | − | 0.0370937i | ||||
\(995\) | 1.82086e7 | + | 7.97769e7i | 0.583066 | + | 2.55458i | ||||
\(996\) | −5.72304e6 | − | 7.17647e6i | −0.182801 | − | 0.229225i | ||||
\(997\) | −1.03912e7 | + | 4.55267e7i | −0.331075 | + | 1.45054i | 0.485977 | + | 0.873972i | \(0.338464\pi\) |
−0.817052 | + | 0.576564i | \(0.804393\pi\) | |||||||
\(998\) | 1.96253e7 | 0.623720 | ||||||||
\(999\) | 1.04744e7 | − | 4.58915e7i | 0.332061 | − | 1.45485i |
(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 | 29.6.d.a.16.7 | ✓ | 66 | |
29.7 | even | 7 | 841.6.a.i.1.14 | 33 | |||
29.20 | even | 7 | inner | 29.6.d.a.20.7 | yes | 66 | |
29.22 | even | 14 | 841.6.a.h.1.20 | 33 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.6.d.a.16.7 | ✓ | 66 | 1.1 | even | 1 | trivial | |
29.6.d.a.20.7 | yes | 66 | 29.20 | even | 7 | inner | |
841.6.a.h.1.20 | 33 | 29.22 | even | 14 | |||
841.6.a.i.1.14 | 33 | 29.7 | even | 7 |