Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(4,69)]
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([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), 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: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Character | \(\chi\) | \(=\) | 69.25 |
Dual form | 69.4.e.b.58.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.69841 | − | 3.01948i | −1.66114 | − | 1.06755i | −0.916461 | − | 0.400124i | \(-0.868967\pi\) |
−0.744677 | − | 0.667425i | \(-0.767397\pi\) | |||||||
\(3\) | 0.426945 | + | 2.96946i | 0.0821655 | + | 0.571474i | ||||
\(4\) | 9.63444 | + | 21.0965i | 1.20430 | + | 2.63706i | ||||
\(5\) | −6.04862 | − | 1.77604i | −0.541005 | − | 0.158853i | −0.000197876 | − | 1.00000i | \(-0.500063\pi\) |
−0.540807 | + | 0.841147i | \(0.681881\pi\) | |||||||
\(6\) | 6.96029 | − | 15.2409i | 0.473588 | − | 1.03701i | ||||
\(7\) | 10.0657 | − | 11.6164i | 0.543495 | − | 0.627227i | −0.415860 | − | 0.909429i | \(-0.636519\pi\) |
0.959355 | + | 0.282202i | \(0.0910647\pi\) | |||||||
\(8\) | 12.0753 | − | 83.9856i | 0.533658 | − | 3.71168i | ||||
\(9\) | −8.63544 | + | 2.53559i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 23.0562 | + | 26.6083i | 0.729101 | + | 0.841427i | ||||
\(11\) | −23.6262 | + | 15.1836i | −0.647596 | + | 0.416185i | −0.822787 | − | 0.568350i | \(-0.807582\pi\) |
0.175191 | + | 0.984535i | \(0.443946\pi\) | |||||||
\(12\) | −58.5319 | + | 37.6162i | −1.40806 | + | 0.904904i | ||||
\(13\) | −22.6789 | − | 26.1729i | −0.483847 | − | 0.558389i | 0.460364 | − | 0.887730i | \(-0.347719\pi\) |
−0.944211 | + | 0.329341i | \(0.893173\pi\) | |||||||
\(14\) | −82.3682 | + | 24.1855i | −1.57242 | + | 0.461703i | ||||
\(15\) | 2.69145 | − | 18.7194i | 0.0463286 | − | 0.322222i | ||||
\(16\) | −188.826 | + | 217.917i | −2.95041 | + | 3.40495i | ||||
\(17\) | 41.7701 | − | 91.4639i | 0.595926 | − | 1.30490i | −0.335868 | − | 0.941909i | \(-0.609029\pi\) |
0.931794 | − | 0.362988i | \(-0.118243\pi\) | |||||||
\(18\) | 48.2290 | + | 14.1613i | 0.631538 | + | 0.185436i | ||||
\(19\) | −47.5011 | − | 104.013i | −0.573553 | − | 1.25590i | −0.944884 | − | 0.327405i | \(-0.893826\pi\) |
0.371332 | − | 0.928500i | \(-0.378901\pi\) | |||||||
\(20\) | −20.8070 | − | 144.716i | −0.232629 | − | 1.61797i | ||||
\(21\) | 38.7920 | + | 24.9301i | 0.403100 | + | 0.259057i | ||||
\(22\) | 156.852 | 1.52004 | ||||||||
\(23\) | −84.8330 | + | 70.5008i | −0.769083 | + | 0.639149i | ||||
\(24\) | 254.548 | 2.16497 | ||||||||
\(25\) | −71.7252 | − | 46.0950i | −0.573801 | − | 0.368760i | ||||
\(26\) | 27.5263 | + | 191.450i | 0.207629 | + | 1.44409i | ||||
\(27\) | −11.2162 | − | 24.5601i | −0.0799467 | − | 0.175059i | ||||
\(28\) | 342.042 | + | 100.433i | 2.30857 | + | 0.677857i | ||||
\(29\) | 55.8886 | − | 122.379i | 0.357871 | − | 0.783628i | −0.641986 | − | 0.766716i | \(-0.721889\pi\) |
0.999857 | − | 0.0169114i | \(-0.00538333\pi\) | |||||||
\(30\) | −69.1686 | + | 79.8248i | −0.420946 | + | 0.485798i | ||||
\(31\) | 22.2236 | − | 154.568i | 0.128757 | − | 0.895526i | −0.818375 | − | 0.574684i | \(-0.805125\pi\) |
0.947133 | − | 0.320842i | \(-0.103966\pi\) | |||||||
\(32\) | 893.880 | − | 262.467i | 4.93804 | − | 1.44994i | ||||
\(33\) | −55.1743 | − | 63.6745i | −0.291049 | − | 0.335888i | ||||
\(34\) | −472.427 | + | 303.610i | −2.38296 | + | 1.53143i | ||||
\(35\) | −81.5146 | + | 52.3863i | −0.393671 | + | 0.252997i | ||||
\(36\) | −136.690 | − | 157.748i | −0.632823 | − | 0.730316i | ||||
\(37\) | 144.939 | − | 42.5578i | 0.643993 | − | 0.189093i | 0.0566023 | − | 0.998397i | \(-0.481973\pi\) |
0.587391 | + | 0.809303i | \(0.300155\pi\) | |||||||
\(38\) | −90.8857 | + | 632.124i | −0.387990 | + | 2.69853i | ||||
\(39\) | 68.0368 | − | 78.5187i | 0.279349 | − | 0.322386i | ||||
\(40\) | −222.200 | + | 486.551i | −0.878324 | + | 1.92326i | ||||
\(41\) | −159.417 | − | 46.8090i | −0.607237 | − | 0.178301i | −0.0363631 | − | 0.999339i | \(-0.511577\pi\) |
−0.570874 | + | 0.821038i | \(0.693395\pi\) | |||||||
\(42\) | −106.985 | − | 234.264i | −0.393050 | − | 0.860659i | ||||
\(43\) | 3.21073 | + | 22.3311i | 0.0113868 | + | 0.0791968i | 0.994722 | − | 0.102603i | \(-0.0327170\pi\) |
−0.983336 | + | 0.181799i | \(0.941808\pi\) | |||||||
\(44\) | −547.946 | − | 352.144i | −1.87741 | − | 1.20654i | ||||
\(45\) | 56.7358 | 0.187948 | ||||||||
\(46\) | 611.456 | − | 75.0894i | 1.95988 | − | 0.240681i | ||||
\(47\) | −3.83746 | −0.0119096 | −0.00595480 | − | 0.999982i | \(-0.501895\pi\) | ||||
−0.00595480 | + | 0.999982i | \(0.501895\pi\) | |||||||
\(48\) | −727.715 | − | 467.674i | −2.18826 | − | 1.40631i | ||||
\(49\) | 15.1909 | + | 105.655i | 0.0442882 | + | 0.308031i | ||||
\(50\) | 197.811 | + | 433.146i | 0.559494 | + | 1.22512i | ||||
\(51\) | 289.432 | + | 84.9850i | 0.794679 | + | 0.233339i | ||||
\(52\) | 333.657 | − | 730.607i | 0.889806 | − | 1.94840i | ||||
\(53\) | −298.564 | + | 344.561i | −0.773791 | + | 0.893002i | −0.996645 | − | 0.0818495i | \(-0.973917\pi\) |
0.222854 | + | 0.974852i | \(0.428463\pi\) | |||||||
\(54\) | −21.4604 | + | 149.260i | −0.0540813 | + | 0.376144i | ||||
\(55\) | 169.872 | − | 49.8791i | 0.416465 | − | 0.122285i | ||||
\(56\) | −854.065 | − | 985.644i | −2.03802 | − | 2.35200i | ||||
\(57\) | 288.582 | − | 185.461i | 0.670590 | − | 0.430962i | ||||
\(58\) | −632.109 | + | 406.232i | −1.43103 | + | 0.919669i | ||||
\(59\) | 266.911 | + | 308.032i | 0.588964 | + | 0.679701i | 0.969507 | − | 0.245062i | \(-0.0788083\pi\) |
−0.380543 | + | 0.924763i | \(0.624263\pi\) | |||||||
\(60\) | 420.845 | − | 123.571i | 0.905514 | − | 0.265883i | ||||
\(61\) | −17.8978 | + | 124.482i | −0.0375668 | + | 0.261283i | −0.999946 | − | 0.0104284i | \(-0.996680\pi\) |
0.962379 | + | 0.271711i | \(0.0875896\pi\) | |||||||
\(62\) | −571.132 | + | 659.122i | −1.16990 | + | 1.35014i | ||||
\(63\) | −57.4670 | + | 125.835i | −0.114923 | + | 0.251647i | ||||
\(64\) | −2779.01 | − | 815.990i | −5.42774 | − | 1.59373i | ||||
\(65\) | 90.6924 | + | 198.589i | 0.173062 | + | 0.378952i | ||||
\(66\) | 66.9672 | + | 465.767i | 0.124895 | + | 0.868666i | ||||
\(67\) | 781.995 | + | 502.558i | 1.42591 | + | 0.916376i | 0.999932 | + | 0.0116426i | \(0.00370603\pi\) |
0.425977 | + | 0.904734i | \(0.359930\pi\) | |||||||
\(68\) | 2332.00 | 4.15877 | ||||||||
\(69\) | −245.568 | − | 221.809i | −0.428449 | − | 0.386995i | ||||
\(70\) | 541.168 | 0.924029 | ||||||||
\(71\) | −113.756 | − | 73.1068i | −0.190146 | − | 0.122200i | 0.442104 | − | 0.896964i | \(-0.354232\pi\) |
−0.632250 | + | 0.774764i | \(0.717869\pi\) | |||||||
\(72\) | 108.678 | + | 755.871i | 0.177886 | + | 1.23723i | ||||
\(73\) | −395.633 | − | 866.315i | −0.634319 | − | 1.38897i | −0.904632 | − | 0.426193i | \(-0.859854\pi\) |
0.270313 | − | 0.962773i | \(-0.412873\pi\) | |||||||
\(74\) | −809.483 | − | 237.686i | −1.27163 | − | 0.373384i | ||||
\(75\) | 106.255 | − | 232.665i | 0.163590 | − | 0.358212i | ||||
\(76\) | 1736.66 | − | 2004.21i | 2.62116 | − | 3.02498i | ||||
\(77\) | −61.4343 | + | 427.285i | −0.0909232 | + | 0.632385i | ||||
\(78\) | −556.751 | + | 163.477i | −0.808200 | + | 0.237309i | ||||
\(79\) | −238.384 | − | 275.109i | −0.339497 | − | 0.391800i | 0.560170 | − | 0.828378i | \(-0.310736\pi\) |
−0.899667 | + | 0.436577i | \(0.856190\pi\) | |||||||
\(80\) | 1529.17 | − | 982.735i | 2.13707 | − | 1.37341i | ||||
\(81\) | 68.1415 | − | 43.7919i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | 607.666 | + | 701.284i | 0.818360 | + | 0.944437i | ||||
\(83\) | 316.992 | − | 93.0774i | 0.419210 | − | 0.123091i | −0.0653229 | − | 0.997864i | \(-0.520808\pi\) |
0.484533 | + | 0.874773i | \(0.338990\pi\) | |||||||
\(84\) | −152.198 | + | 1058.56i | −0.197693 | + | 1.37498i | ||||
\(85\) | −415.095 | + | 479.045i | −0.529687 | + | 0.611291i | ||||
\(86\) | 52.3431 | − | 114.615i | 0.0656314 | − | 0.143713i | ||||
\(87\) | 387.261 | + | 113.710i | 0.477227 | + | 0.140127i | ||||
\(88\) | 989.913 | + | 2167.61i | 1.19915 | + | 2.62577i | ||||
\(89\) | −49.5804 | − | 344.839i | −0.0590507 | − | 0.410707i | −0.997811 | − | 0.0661350i | \(-0.978933\pi\) |
0.938760 | − | 0.344572i | \(-0.111976\pi\) | |||||||
\(90\) | −266.568 | − | 171.313i | −0.312208 | − | 0.200644i | ||||
\(91\) | −532.314 | −0.613205 | ||||||||
\(92\) | −2304.64 | − | 1110.44i | −2.61168 | − | 1.25839i | ||||
\(93\) | 468.474 | 0.522349 | ||||||||
\(94\) | 18.0300 | + | 11.5872i | 0.0197835 | + | 0.0127141i | ||||
\(95\) | 102.586 | + | 713.498i | 0.110790 | + | 0.770562i | ||||
\(96\) | 1161.02 | + | 2542.29i | 1.23434 | + | 2.70282i | ||||
\(97\) | −709.878 | − | 208.439i | −0.743064 | − | 0.218183i | −0.111778 | − | 0.993733i | \(-0.535654\pi\) |
−0.631286 | + | 0.775550i | \(0.717473\pi\) | |||||||
\(98\) | 247.650 | − | 542.278i | 0.255270 | − | 0.558962i | ||||
\(99\) | 165.523 | − | 191.024i | 0.168037 | − | 0.193925i | ||||
\(100\) | 281.410 | − | 1957.25i | 0.281410 | − | 1.95725i | ||||
\(101\) | −1505.47 | + | 442.047i | −1.48317 | + | 0.435498i | −0.920354 | − | 0.391085i | \(-0.872100\pi\) |
−0.562815 | + | 0.826583i | \(0.690282\pi\) | |||||||
\(102\) | −1103.26 | − | 1273.23i | −1.07097 | − | 1.23597i | ||||
\(103\) | −164.260 | + | 105.563i | −0.157136 | + | 0.100985i | −0.616846 | − | 0.787084i | \(-0.711590\pi\) |
0.459710 | + | 0.888069i | \(0.347953\pi\) | |||||||
\(104\) | −2472.00 | + | 1588.66i | −2.33077 | + | 1.49789i | ||||
\(105\) | −190.361 | − | 219.689i | −0.176927 | − | 0.204185i | ||||
\(106\) | 2443.17 | − | 717.380i | 2.23870 | − | 0.657341i | ||||
\(107\) | 152.487 | − | 1060.57i | 0.137771 | − | 0.958216i | −0.797257 | − | 0.603640i | \(-0.793716\pi\) |
0.935027 | − | 0.354575i | \(-0.115375\pi\) | |||||||
\(108\) | 410.069 | − | 473.245i | 0.365360 | − | 0.421648i | ||||
\(109\) | −748.498 | + | 1638.98i | −0.657735 | + | 1.44024i | 0.226883 | + | 0.973922i | \(0.427146\pi\) |
−0.884618 | + | 0.466316i | \(0.845581\pi\) | |||||||
\(110\) | −948.739 | − | 278.575i | −0.822352 | − | 0.241464i | ||||
\(111\) | 188.255 | + | 412.220i | 0.160976 | + | 0.352488i | ||||
\(112\) | 630.750 | + | 4386.96i | 0.532145 | + | 3.70115i | ||||
\(113\) | −205.924 | − | 132.339i | −0.171431 | − | 0.110172i | 0.452112 | − | 0.891961i | \(-0.350671\pi\) |
−0.623543 | + | 0.781789i | \(0.714307\pi\) | |||||||
\(114\) | −1915.87 | −1.57402 | ||||||||
\(115\) | 638.335 | − | 275.766i | 0.517609 | − | 0.223611i | ||||
\(116\) | 3120.22 | 2.49746 | ||||||||
\(117\) | 262.206 | + | 168.510i | 0.207188 | + | 0.133152i | ||||
\(118\) | −323.961 | − | 2253.20i | −0.252737 | − | 1.75783i | ||||
\(119\) | −642.037 | − | 1405.86i | −0.494583 | − | 1.08299i | ||||
\(120\) | −1539.66 | − | 452.086i | −1.17126 | − | 0.343913i | ||||
\(121\) | −225.263 | + | 493.258i | −0.169244 | + | 0.370592i | ||||
\(122\) | 459.962 | − | 530.824i | 0.341336 | − | 0.393922i | ||||
\(123\) | 70.9355 | − | 493.367i | 0.0520003 | − | 0.361670i | ||||
\(124\) | 3474.96 | − | 1020.34i | 2.51662 | − | 0.738946i | ||||
\(125\) | 868.000 | + | 1001.73i | 0.621091 | + | 0.716777i | ||||
\(126\) | 649.961 | − | 417.705i | 0.459549 | − | 0.295334i | ||||
\(127\) | 432.848 | − | 278.175i | 0.302433 | − | 0.194362i | −0.380618 | − | 0.924732i | \(-0.624289\pi\) |
0.683052 | + | 0.730370i | \(0.260652\pi\) | |||||||
\(128\) | 5712.40 | + | 6592.46i | 3.94461 | + | 4.55232i | ||||
\(129\) | −64.9406 | + | 19.0683i | −0.0443233 | + | 0.0130145i | ||||
\(130\) | 173.525 | − | 1206.89i | 0.117071 | − | 0.814243i | ||||
\(131\) | 841.002 | − | 970.568i | 0.560906 | − | 0.647320i | −0.402483 | − | 0.915427i | \(-0.631853\pi\) |
0.963389 | + | 0.268108i | \(0.0863983\pi\) | |||||||
\(132\) | 811.735 | − | 1777.45i | 0.535246 | − | 1.17203i | ||||
\(133\) | −1686.39 | − | 495.168i | −1.09946 | − | 0.322831i | ||||
\(134\) | −2156.67 | − | 4722.44i | −1.39036 | − | 3.04446i | ||||
\(135\) | 24.2230 | + | 168.475i | 0.0154429 | + | 0.107407i | ||||
\(136\) | −7177.26 | − | 4612.55i | −4.52533 | − | 2.90825i | ||||
\(137\) | 2975.80 | 1.85576 | 0.927882 | − | 0.372873i | \(-0.121627\pi\) | ||||
0.927882 | + | 0.372873i | \(0.121627\pi\) | |||||||
\(138\) | 484.033 | + | 1783.64i | 0.298577 | + | 1.10024i | ||||
\(139\) | −255.138 | −0.155687 | −0.0778437 | − | 0.996966i | \(-0.524804\pi\) | ||||
−0.0778437 | + | 0.996966i | \(0.524804\pi\) | |||||||
\(140\) | −1890.51 | − | 1214.96i | −1.14127 | − | 0.733449i | ||||
\(141\) | −1.63838 | − | 11.3952i | −0.000978559 | − | 0.00680602i | ||||
\(142\) | 313.729 | + | 686.971i | 0.185405 | + | 0.405981i | ||||
\(143\) | 933.216 | + | 274.017i | 0.545731 | + | 0.160241i | ||||
\(144\) | 1078.05 | − | 2360.59i | 0.623870 | − | 1.36608i | ||||
\(145\) | −555.398 | + | 640.964i | −0.318092 | + | 0.367098i | ||||
\(146\) | −756.980 | + | 5264.91i | −0.429096 | + | 2.98443i | ||||
\(147\) | −307.252 | + | 90.2174i | −0.172393 | + | 0.0506191i | ||||
\(148\) | 2294.22 | + | 2647.67i | 1.27422 | + | 1.47052i | ||||
\(149\) | −808.599 | + | 519.655i | −0.444584 | + | 0.285717i | −0.743717 | − | 0.668495i | \(-0.766939\pi\) |
0.299133 | + | 0.954211i | \(0.403303\pi\) | |||||||
\(150\) | −1201.76 | + | 772.322i | −0.654154 | + | 0.420399i | ||||
\(151\) | 144.845 | + | 167.160i | 0.0780617 | + | 0.0900880i | 0.793437 | − | 0.608653i | \(-0.208290\pi\) |
−0.715375 | + | 0.698741i | \(0.753744\pi\) | |||||||
\(152\) | −9309.18 | + | 2733.42i | −4.96759 | + | 1.45862i | ||||
\(153\) | −128.788 | + | 895.743i | −0.0680518 | + | 0.473310i | ||||
\(154\) | 1578.82 | − | 1822.06i | 0.826137 | − | 0.953413i | ||||
\(155\) | −408.941 | + | 895.456i | −0.211916 | + | 0.464031i | ||||
\(156\) | 2311.97 | + | 678.854i | 1.18657 | + | 0.348409i | ||||
\(157\) | −827.991 | − | 1813.05i | −0.420897 | − | 0.921636i | −0.994717 | − | 0.102655i | \(-0.967266\pi\) |
0.573820 | − | 0.818982i | \(-0.305461\pi\) | |||||||
\(158\) | 289.335 | + | 2012.37i | 0.145685 | + | 1.01326i | ||||
\(159\) | −1150.63 | − | 739.467i | −0.573906 | − | 0.368827i | ||||
\(160\) | −5872.89 | −2.90183 | ||||||||
\(161\) | −34.9362 | + | 1695.09i | −0.0171016 | + | 0.829764i | ||||
\(162\) | −452.386 | −0.219400 | ||||||||
\(163\) | 978.707 | + | 628.977i | 0.470296 | + | 0.302241i | 0.754239 | − | 0.656600i | \(-0.228006\pi\) |
−0.283943 | + | 0.958841i | \(0.591643\pi\) | |||||||
\(164\) | −548.386 | − | 3814.11i | −0.261108 | − | 1.81605i | ||||
\(165\) | 220.640 | + | 483.135i | 0.104102 | + | 0.227951i | ||||
\(166\) | −1770.41 | − | 519.838i | −0.827772 | − | 0.243056i | ||||
\(167\) | 689.347 | − | 1509.46i | 0.319421 | − | 0.699434i | −0.680009 | − | 0.733204i | \(-0.738024\pi\) |
0.999430 | + | 0.0337700i | \(0.0107514\pi\) | |||||||
\(168\) | 2562.20 | − | 2956.93i | 1.17665 | − | 1.35793i | ||||
\(169\) | 141.980 | − | 987.490i | 0.0646243 | − | 0.449472i | ||||
\(170\) | 3396.75 | − | 997.377i | 1.53247 | − | 0.449972i | ||||
\(171\) | 673.927 | + | 777.753i | 0.301383 | + | 0.347814i | ||||
\(172\) | −440.174 | + | 282.883i | −0.195134 | + | 0.125405i | ||||
\(173\) | 1708.04 | − | 1097.69i | 0.750634 | − | 0.482403i | −0.108536 | − | 0.994092i | \(-0.534616\pi\) |
0.859171 | + | 0.511689i | \(0.170980\pi\) | |||||||
\(174\) | −1476.17 | − | 1703.59i | −0.643148 | − | 0.742233i | ||||
\(175\) | −1257.42 | + | 369.212i | −0.543155 | + | 0.159485i | ||||
\(176\) | 1152.47 | − | 8015.61i | 0.493584 | − | 3.43295i | ||||
\(177\) | −800.734 | + | 924.096i | −0.340039 | + | 0.392426i | ||||
\(178\) | −808.288 | + | 1769.90i | −0.340358 | + | 0.745280i | ||||
\(179\) | 1641.41 | + | 481.962i | 0.685390 | + | 0.201249i | 0.605845 | − | 0.795582i | \(-0.292835\pi\) |
0.0795451 | + | 0.996831i | \(0.474653\pi\) | |||||||
\(180\) | 546.618 | + | 1196.93i | 0.226347 | + | 0.495631i | ||||
\(181\) | 229.619 | + | 1597.03i | 0.0942951 | + | 0.655837i | 0.981073 | + | 0.193640i | \(0.0620294\pi\) |
−0.886778 | + | 0.462197i | \(0.847061\pi\) | |||||||
\(182\) | 2501.03 | + | 1607.31i | 1.01862 | + | 0.654626i | ||||
\(183\) | −377.285 | −0.152403 | ||||||||
\(184\) | 4896.66 | + | 7976.07i | 1.96189 | + | 3.19567i | ||||
\(185\) | −952.263 | −0.378442 | ||||||||
\(186\) | −2201.08 | − | 1414.55i | −0.867694 | − | 0.557633i | ||||
\(187\) | 401.884 | + | 2795.16i | 0.157159 | + | 1.09306i | ||||
\(188\) | −36.9718 | − | 80.9569i | −0.0143428 | − | 0.0314063i | ||||
\(189\) | −398.198 | − | 116.922i | −0.153252 | − | 0.0449989i | ||||
\(190\) | 1672.41 | − | 3662.06i | 0.638575 | − | 1.39828i | ||||
\(191\) | 1461.67 | − | 1686.86i | 0.553732 | − | 0.639041i | −0.408016 | − | 0.912975i | \(-0.633779\pi\) |
0.961749 | + | 0.273933i | \(0.0883248\pi\) | |||||||
\(192\) | 1236.57 | − | 8600.54i | 0.464801 | − | 3.23276i | ||||
\(193\) | −2882.57 | + | 846.400i | −1.07509 | + | 0.315675i | −0.770913 | − | 0.636941i | \(-0.780200\pi\) |
−0.304177 | + | 0.952616i | \(0.598381\pi\) | |||||||
\(194\) | 2705.92 | + | 3122.80i | 1.00141 | + | 1.15569i | ||||
\(195\) | −550.981 | + | 354.094i | −0.202341 | + | 0.130037i | ||||
\(196\) | −2082.59 | + | 1338.40i | −0.758960 | + | 0.487754i | ||||
\(197\) | −1319.66 | − | 1522.97i | −0.477270 | − | 0.550799i | 0.465150 | − | 0.885232i | \(-0.346001\pi\) |
−0.942419 | + | 0.334433i | \(0.891455\pi\) | |||||||
\(198\) | −1354.49 | + | 397.713i | −0.486157 | + | 0.142749i | ||||
\(199\) | −20.4872 | + | 142.492i | −0.00729799 | + | 0.0507586i | −0.993145 | − | 0.116889i | \(-0.962708\pi\) |
0.985847 | + | 0.167647i | \(0.0536170\pi\) | |||||||
\(200\) | −4737.42 | + | 5467.27i | −1.67493 | + | 1.93297i | ||||
\(201\) | −1158.46 | + | 2536.67i | −0.406524 | + | 0.890164i | ||||
\(202\) | 8408.08 | + | 2468.83i | 2.92866 | + | 0.859933i | ||||
\(203\) | −859.047 | − | 1881.05i | −0.297011 | − | 0.650364i | ||||
\(204\) | 995.634 | + | 6924.78i | 0.341707 | + | 2.37663i | ||||
\(205\) | 881.117 | + | 566.260i | 0.300195 | + | 0.192923i | ||||
\(206\) | 1090.51 | 0.368831 | ||||||||
\(207\) | 553.809 | − | 823.907i | 0.185954 | − | 0.276645i | ||||
\(208\) | 9985.89 | 3.32883 | ||||||||
\(209\) | 2701.56 | + | 1736.19i | 0.894119 | + | 0.574616i | ||||
\(210\) | 231.049 | + | 1606.98i | 0.0759233 | + | 0.528058i | ||||
\(211\) | 670.613 | + | 1468.44i | 0.218800 | + | 0.479106i | 0.986922 | − | 0.161198i | \(-0.0515357\pi\) |
−0.768122 | + | 0.640304i | \(0.778808\pi\) | |||||||
\(212\) | −10145.5 | − | 2979.00i | −3.28678 | − | 0.965086i | ||||
\(213\) | 168.520 | − | 369.008i | 0.0542104 | − | 0.118704i | ||||
\(214\) | −3918.82 | + | 4522.56i | −1.25180 | + | 1.44465i | ||||
\(215\) | 20.2404 | − | 140.775i | 0.00642038 | − | 0.0446547i | ||||
\(216\) | −2198.13 | + | 645.430i | −0.692425 | + | 0.203314i | ||||
\(217\) | −1571.83 | − | 1813.99i | −0.491719 | − | 0.567474i | ||||
\(218\) | 8465.63 | − | 5440.53i | 2.63011 | − | 1.69027i | ||||
\(219\) | 2403.58 | − | 1544.69i | 0.741638 | − | 0.476622i | ||||
\(220\) | 2688.90 | + | 3103.15i | 0.824025 | + | 0.950976i | ||||
\(221\) | −3341.18 | + | 981.058i | −1.01698 | + | 0.298611i | ||||
\(222\) | 360.195 | − | 2505.21i | 0.108895 | − | 0.757381i | ||||
\(223\) | 3628.93 | − | 4188.01i | 1.08974 | − | 1.25762i | 0.125639 | − | 0.992076i | \(-0.459902\pi\) |
0.964098 | − | 0.265548i | \(-0.0855528\pi\) | |||||||
\(224\) | 5948.58 | − | 13025.6i | 1.77436 | − | 3.88530i | ||||
\(225\) | 736.256 | + | 216.184i | 0.218150 | + | 0.0640546i | ||||
\(226\) | 567.918 | + | 1243.57i | 0.167156 | + | 0.366022i | ||||
\(227\) | 167.650 | + | 1166.03i | 0.0490191 | + | 0.340935i | 0.999541 | + | 0.0302791i | \(0.00963960\pi\) |
−0.950522 | + | 0.310656i | \(0.899451\pi\) | |||||||
\(228\) | 6692.89 | + | 4301.26i | 1.94407 | + | 1.24938i | ||||
\(229\) | −1285.81 | −0.371042 | −0.185521 | − | 0.982640i | \(-0.559397\pi\) | ||||
−0.185521 | + | 0.982640i | \(0.559397\pi\) | |||||||
\(230\) | −3831.83 | − | 631.781i | −1.09854 | − | 0.181123i | ||||
\(231\) | −1295.04 | −0.368862 | ||||||||
\(232\) | −9603.20 | − | 6171.60i | −2.71759 | − | 1.74649i | ||||
\(233\) | −119.702 | − | 832.544i | −0.0336563 | − | 0.234085i | 0.966049 | − | 0.258359i | \(-0.0831817\pi\) |
−0.999705 | + | 0.0242739i | \(0.992273\pi\) | |||||||
\(234\) | −723.140 | − | 1583.46i | −0.202022 | − | 0.442367i | ||||
\(235\) | 23.2114 | + | 6.81547i | 0.00644316 | + | 0.00189188i | ||||
\(236\) | −3926.85 | + | 8598.61i | −1.08312 | + | 2.37170i | ||||
\(237\) | 715.151 | − | 825.328i | 0.196009 | − | 0.226206i | ||||
\(238\) | −1228.43 | + | 8543.95i | −0.334570 | + | 2.32698i | ||||
\(239\) | 4658.35 | − | 1367.82i | 1.26077 | − | 0.370195i | 0.417988 | − | 0.908452i | \(-0.362735\pi\) |
0.842781 | + | 0.538257i | \(0.180917\pi\) | |||||||
\(240\) | 3571.06 | + | 4121.23i | 0.960463 | + | 1.10843i | ||||
\(241\) | 1873.06 | − | 1203.74i | 0.500640 | − | 0.321742i | −0.265832 | − | 0.964019i | \(-0.585647\pi\) |
0.766472 | + | 0.642278i | \(0.222010\pi\) | |||||||
\(242\) | 2547.76 | − | 1637.35i | 0.676762 | − | 0.434929i | ||||
\(243\) | 159.131 | + | 183.647i | 0.0420093 | + | 0.0484814i | ||||
\(244\) | −2798.56 | + | 821.732i | −0.734260 | + | 0.215598i | ||||
\(245\) | 95.7628 | − | 666.045i | 0.0249717 | − | 0.173682i | ||||
\(246\) | −1823.00 | + | 2103.85i | −0.472480 | + | 0.545271i | ||||
\(247\) | −1645.04 | + | 3602.14i | −0.423772 | + | 0.927931i | ||||
\(248\) | −12713.2 | − | 3732.92i | −3.25519 | − | 0.955810i | ||||
\(249\) | 411.728 | + | 901.559i | 0.104788 | + | 0.229454i | ||||
\(250\) | −1053.53 | − | 7327.43i | −0.266523 | − | 1.85371i | ||||
\(251\) | 3105.25 | + | 1995.63i | 0.780884 | + | 0.501844i | 0.869327 | − | 0.494238i | \(-0.164553\pi\) |
−0.0884430 | + | 0.996081i | \(0.528189\pi\) | |||||||
\(252\) | −3208.34 | −0.802010 | ||||||||
\(253\) | 933.824 | − | 2953.74i | 0.232051 | − | 0.733991i | ||||
\(254\) | −2873.64 | −0.709875 | ||||||||
\(255\) | −1599.73 | − | 1028.08i | −0.392859 | − | 0.252475i | ||||
\(256\) | −3635.84 | − | 25287.8i | −0.887655 | − | 6.17378i | ||||
\(257\) | −1409.52 | − | 3086.42i | −0.342115 | − | 0.749127i | 0.657877 | − | 0.753125i | \(-0.271455\pi\) |
−0.999992 | + | 0.00399832i | \(0.998727\pi\) | |||||||
\(258\) | 362.694 | + | 106.497i | 0.0875207 | + | 0.0256984i | ||||
\(259\) | 964.536 | − | 2112.04i | 0.231403 | − | 0.506701i | ||||
\(260\) | −3315.75 | + | 3826.58i | −0.790900 | + | 0.912748i | ||||
\(261\) | −172.319 | + | 1198.51i | −0.0408670 | + | 0.284236i | ||||
\(262\) | −6881.98 | + | 2020.73i | −1.62279 | + | 0.476493i | ||||
\(263\) | −4386.12 | − | 5061.85i | −1.02836 | − | 1.18679i | −0.982196 | − | 0.187861i | \(-0.939844\pi\) |
−0.0461681 | − | 0.998934i | \(-0.514701\pi\) | |||||||
\(264\) | −6013.99 | + | 3864.96i | −1.40203 | + | 0.901029i | ||||
\(265\) | 2417.85 | − | 1553.86i | 0.560481 | − | 0.360200i | ||||
\(266\) | 6428.18 | + | 7418.52i | 1.48172 | + | 1.70999i | ||||
\(267\) | 1002.82 | − | 294.455i | 0.229856 | − | 0.0674919i | ||||
\(268\) | −3068.12 | + | 21339.2i | −0.699310 | + | 4.86381i | ||||
\(269\) | −946.270 | + | 1092.05i | −0.214480 | + | 0.247523i | −0.852787 | − | 0.522259i | \(-0.825090\pi\) |
0.638307 | + | 0.769782i | \(0.279635\pi\) | |||||||
\(270\) | 394.898 | − | 864.705i | 0.0890100 | − | 0.194905i | ||||
\(271\) | −1941.27 | − | 570.008i | −0.435143 | − | 0.127769i | 0.0568224 | − | 0.998384i | \(-0.481903\pi\) |
−0.491965 | + | 0.870615i | \(0.663721\pi\) | |||||||
\(272\) | 12044.2 | + | 26373.2i | 2.68488 | + | 5.87908i | ||||
\(273\) | −227.269 | − | 1580.69i | −0.0503843 | − | 0.350431i | ||||
\(274\) | −13981.5 | − | 8985.38i | −3.08268 | − | 1.98112i | ||||
\(275\) | 2394.48 | 0.525064 | ||||||||
\(276\) | 2313.47 | − | 7317.63i | 0.504545 | − | 1.59590i | ||||
\(277\) | −1975.40 | −0.428484 | −0.214242 | − | 0.976781i | \(-0.568728\pi\) | ||||
−0.214242 | + | 0.976781i | \(0.568728\pi\) | |||||||
\(278\) | 1198.74 | + | 770.386i | 0.258618 | + | 0.166204i | ||||
\(279\) | 200.012 | + | 1391.12i | 0.0429191 | + | 0.298509i | ||||
\(280\) | 3415.38 | + | 7478.64i | 0.728957 | + | 1.59619i | ||||
\(281\) | −3629.78 | − | 1065.80i | −0.770585 | − | 0.226264i | −0.127273 | − | 0.991868i | \(-0.540622\pi\) |
−0.643313 | + | 0.765604i | \(0.722440\pi\) | |||||||
\(282\) | −26.7098 | + | 58.4864i | −0.00564024 | + | 0.0123504i | ||||
\(283\) | −2686.95 | + | 3100.90i | −0.564390 | + | 0.651341i | −0.964175 | − | 0.265268i | \(-0.914539\pi\) |
0.399785 | + | 0.916609i | \(0.369085\pi\) | |||||||
\(284\) | 446.317 | − | 3104.20i | 0.0932536 | − | 0.648593i | ||||
\(285\) | −2074.91 | + | 609.248i | −0.431253 | + | 0.126627i | ||||
\(286\) | −3557.24 | − | 4105.28i | −0.735469 | − | 0.848776i | ||||
\(287\) | −2148.39 | + | 1380.69i | −0.441866 | + | 0.283970i | ||||
\(288\) | −7053.53 | + | 4533.03i | −1.44317 | + | 0.927470i | ||||
\(289\) | −3403.56 | − | 3927.92i | −0.692767 | − | 0.799495i | ||||
\(290\) | 4544.87 | − | 1334.49i | 0.920289 | − | 0.270221i | ||||
\(291\) | 315.874 | − | 2196.95i | 0.0636318 | − | 0.442569i | ||||
\(292\) | 14464.5 | − | 16692.9i | 2.89887 | − | 3.34548i | ||||
\(293\) | −191.077 | + | 418.401i | −0.0380985 | + | 0.0834240i | −0.927724 | − | 0.373266i | \(-0.878238\pi\) |
0.889626 | + | 0.456690i | \(0.150965\pi\) | |||||||
\(294\) | 1716.01 | + | 503.865i | 0.340407 | + | 0.0999524i | ||||
\(295\) | −1067.37 | − | 2337.21i | −0.210660 | − | 0.461281i | ||||
\(296\) | −1824.07 | − | 12686.7i | −0.358181 | − | 2.49121i | ||||
\(297\) | 637.907 | + | 409.958i | 0.124630 | + | 0.0800948i | ||||
\(298\) | 5368.22 | 1.04353 | ||||||||
\(299\) | 3769.13 | + | 621.444i | 0.729012 | + | 0.120197i | ||||
\(300\) | 5932.12 | 1.14164 | ||||||||
\(301\) | 291.726 | + | 187.481i | 0.0558631 | + | 0.0359010i | ||||
\(302\) | −175.804 | − | 1222.74i | −0.0334979 | − | 0.232983i | ||||
\(303\) | −1955.39 | − | 4281.72i | −0.370741 | − | 0.811809i | ||||
\(304\) | 31635.6 | + | 9289.05i | 5.96851 | + | 1.75251i | ||||
\(305\) | 329.341 | − | 721.156i | 0.0618295 | − | 0.135388i | ||||
\(306\) | 3309.78 | − | 3819.69i | 0.618325 | − | 0.713585i | ||||
\(307\) | −15.8218 | + | 110.043i | −0.00294135 | + | 0.0204576i | −0.991239 | − | 0.132078i | \(-0.957835\pi\) |
0.988298 | + | 0.152536i | \(0.0487440\pi\) | |||||||
\(308\) | −9606.09 | + | 2820.60i | −1.77714 | + | 0.521814i | ||||
\(309\) | −383.597 | − | 442.694i | −0.0706215 | − | 0.0815016i | ||||
\(310\) | 4625.19 | − | 2972.43i | 0.847397 | − | 0.544589i | ||||
\(311\) | −1056.88 | + | 679.214i | −0.192701 | + | 0.123841i | −0.633434 | − | 0.773797i | \(-0.718355\pi\) |
0.440733 | + | 0.897638i | \(0.354719\pi\) | |||||||
\(312\) | −5772.88 | − | 6662.25i | −1.04752 | − | 1.20890i | ||||
\(313\) | 9351.95 | − | 2745.98i | 1.68883 | − | 0.495885i | 0.710632 | − | 0.703564i | \(-0.248409\pi\) |
0.978197 | + | 0.207680i | \(0.0665911\pi\) | |||||||
\(314\) | −1584.23 | + | 11018.5i | −0.284723 | + | 1.98029i | ||||
\(315\) | 571.084 | − | 659.066i | 0.102149 | − | 0.117886i | ||||
\(316\) | 3507.15 | − | 7679.58i | 0.624343 | − | 1.36712i | ||||
\(317\) | −988.505 | − | 290.251i | −0.175142 | − | 0.0514263i | 0.192986 | − | 0.981202i | \(-0.438183\pi\) |
−0.368128 | + | 0.929775i | \(0.620001\pi\) | |||||||
\(318\) | 3173.33 | + | 6948.63i | 0.559597 | + | 1.22535i | ||||
\(319\) | 537.722 | + | 3739.94i | 0.0943782 | + | 0.656415i | ||||
\(320\) | 15359.9 | + | 9871.22i | 2.68327 | + | 1.72443i | ||||
\(321\) | 3214.43 | 0.558915 | ||||||||
\(322\) | 5282.45 | − | 7858.75i | 0.914222 | − | 1.36010i | ||||
\(323\) | −11497.5 | −1.98062 | ||||||||
\(324\) | 1580.36 | + | 1015.64i | 0.270981 | + | 0.174149i | ||||
\(325\) | 420.212 | + | 2922.64i | 0.0717206 | + | 0.498828i | ||||
\(326\) | −2699.18 | − | 5910.38i | −0.458570 | − | 1.00413i | ||||
\(327\) | −5186.47 | − | 1522.88i | −0.877102 | − | 0.257540i | ||||
\(328\) | −5856.29 | + | 12823.5i | −0.985852 | + | 2.15871i | ||||
\(329\) | −38.6266 | + | 44.5775i | −0.00647281 | + | 0.00747003i | ||||
\(330\) | 422.159 | − | 2936.18i | 0.0704216 | − | 0.489793i | ||||
\(331\) | 7794.48 | − | 2288.67i | 1.29433 | − | 0.380050i | 0.439166 | − | 0.898406i | \(-0.355274\pi\) |
0.855165 | + | 0.518356i | \(0.173456\pi\) | |||||||
\(332\) | 5017.65 | + | 5790.68i | 0.829456 | + | 0.957243i | ||||
\(333\) | −1143.70 | + | 735.010i | −0.188211 | + | 0.120956i | ||||
\(334\) | −7796.62 | + | 5010.58i | −1.27728 | + | 0.820859i | ||||
\(335\) | −3837.43 | − | 4428.63i | −0.625855 | − | 0.722275i | ||||
\(336\) | −12757.6 | + | 3745.98i | −2.07139 | + | 0.608214i | ||||
\(337\) | −318.824 | + | 2217.47i | −0.0515355 | + | 0.358437i | 0.947694 | + | 0.319181i | \(0.103408\pi\) |
−0.999229 | + | 0.0392561i | \(0.987501\pi\) | |||||||
\(338\) | −3648.79 | + | 4210.93i | −0.587183 | + | 0.677646i | ||||
\(339\) | 305.059 | − | 667.985i | 0.0488747 | − | 0.107021i | ||||
\(340\) | −14105.4 | − | 4141.71i | −2.24992 | − | 0.660635i | ||||
\(341\) | 1821.85 | + | 3989.30i | 0.289322 | + | 0.633526i | ||||
\(342\) | −817.971 | − | 5689.11i | −0.129330 | − | 0.899509i | ||||
\(343\) | 5815.45 | + | 3737.36i | 0.915466 | + | 0.588335i | ||||
\(344\) | 1914.26 | 0.300030 | ||||||||
\(345\) | 1091.41 | + | 1777.78i | 0.170318 | + | 0.277427i | ||||
\(346\) | −11339.5 | −1.76190 | ||||||||
\(347\) | 2838.06 | + | 1823.91i | 0.439064 | + | 0.282169i | 0.741440 | − | 0.671019i | \(-0.234143\pi\) |
−0.302376 | + | 0.953189i | \(0.597780\pi\) | |||||||
\(348\) | 1332.16 | + | 9265.38i | 0.205205 | + | 1.42723i | ||||
\(349\) | −2581.24 | − | 5652.12i | −0.395904 | − | 0.866909i | −0.997669 | − | 0.0682360i | \(-0.978263\pi\) |
0.601765 | − | 0.798673i | \(-0.294464\pi\) | |||||||
\(350\) | 7022.70 | + | 2062.05i | 1.07251 | + | 0.314918i | ||||
\(351\) | −388.436 | + | 850.557i | −0.0590689 | + | 0.129343i | ||||
\(352\) | −17133.8 | + | 19773.4i | −2.59441 | + | 2.99411i | ||||
\(353\) | −207.549 | + | 1443.54i | −0.0312939 | + | 0.217654i | −0.999468 | − | 0.0326253i | \(-0.989613\pi\) |
0.968174 | + | 0.250279i | \(0.0805223\pi\) | |||||||
\(354\) | 6552.47 | − | 1923.98i | 0.983785 | − | 0.288865i | ||||
\(355\) | 558.229 | + | 644.230i | 0.0834583 | + | 0.0963161i | ||||
\(356\) | 6797.22 | − | 4368.31i | 1.01194 | − | 0.650336i | ||||
\(357\) | 3900.55 | − | 2506.73i | 0.578261 | − | 0.371626i | ||||
\(358\) | −6256.75 | − | 7220.67i | −0.923685 | − | 1.06599i | ||||
\(359\) | −9236.78 | + | 2712.16i | −1.35793 | + | 0.398725i | −0.878034 | − | 0.478598i | \(-0.841145\pi\) |
−0.479900 | + | 0.877323i | \(0.659327\pi\) | |||||||
\(360\) | 685.102 | − | 4764.99i | 0.100300 | − | 0.697603i | ||||
\(361\) | −4070.64 | + | 4697.76i | −0.593474 | + | 0.684905i | ||||
\(362\) | 3743.37 | − | 8196.84i | 0.543500 | − | 1.19010i | ||||
\(363\) | −1560.89 | − | 458.318i | −0.225690 | − | 0.0662685i | ||||
\(364\) | −5128.55 | − | 11230.0i | −0.738486 | − | 1.61706i | ||||
\(365\) | 854.427 | + | 5942.67i | 0.122528 | + | 0.852202i | ||||
\(366\) | 1772.64 | + | 1139.21i | 0.253162 | + | 0.162698i | ||||
\(367\) | 11047.4 | 1.57130 | 0.785651 | − | 0.618670i | \(-0.212328\pi\) | ||||
0.785651 | + | 0.618670i | \(0.212328\pi\) | |||||||
\(368\) | 655.382 | − | 31798.9i | 0.0928374 | − | 4.50444i | ||||
\(369\) | 1495.32 | 0.210958 | ||||||||
\(370\) | 4474.12 | + | 2875.34i | 0.628644 | + | 0.404005i | ||||
\(371\) | 997.316 | + | 6936.48i | 0.139563 | + | 0.970685i | ||||
\(372\) | 4513.48 | + | 9883.15i | 0.629068 | + | 1.37747i | ||||
\(373\) | −7250.15 | − | 2128.84i | −1.00643 | − | 0.295515i | −0.263338 | − | 0.964704i | \(-0.584824\pi\) |
−0.743092 | + | 0.669189i | \(0.766642\pi\) | |||||||
\(374\) | 6551.74 | − | 14346.3i | 0.905835 | − | 1.98350i | ||||
\(375\) | −2604.00 | + | 3005.18i | −0.358587 | + | 0.413831i | ||||
\(376\) | −46.3385 | + | 322.292i | −0.00635566 | + | 0.0442046i | ||||
\(377\) | −4470.51 | + | 1312.66i | −0.610724 | + | 0.179325i | ||||
\(378\) | 1517.86 | + | 1751.70i | 0.206535 | + | 0.238354i | ||||
\(379\) | 2488.04 | − | 1598.96i | 0.337208 | − | 0.216710i | −0.361067 | − | 0.932540i | \(-0.617588\pi\) |
0.698275 | + | 0.715829i | \(0.253951\pi\) | |||||||
\(380\) | −14063.9 | + | 9038.35i | −1.89859 | + | 1.22015i | ||||
\(381\) | 1010.83 | + | 1166.56i | 0.135922 | + | 0.156863i | ||||
\(382\) | −11961.0 | + | 3512.06i | −1.60203 | + | 0.470400i | ||||
\(383\) | −557.713 | + | 3878.98i | −0.0744068 | + | 0.517511i | 0.918198 | + | 0.396121i | \(0.129644\pi\) |
−0.992605 | + | 0.121389i | \(0.961265\pi\) | |||||||
\(384\) | −17137.2 | + | 19777.4i | −2.27742 | + | 2.62828i | ||||
\(385\) | 1130.47 | − | 2475.37i | 0.149646 | − | 0.327680i | ||||
\(386\) | 16099.2 | + | 4727.15i | 2.12287 | + | 0.623331i | ||||
\(387\) | −84.3487 | − | 184.698i | −0.0110793 | − | 0.0242603i | ||||
\(388\) | −2441.95 | − | 16984.1i | −0.319513 | − | 2.22226i | ||||
\(389\) | 777.151 | + | 499.444i | 0.101293 | + | 0.0650973i | 0.590307 | − | 0.807179i | \(-0.299007\pi\) |
−0.489013 | + | 0.872276i | \(0.662643\pi\) | |||||||
\(390\) | 3657.92 | 0.474938 | ||||||||
\(391\) | 2904.78 | + | 10704.0i | 0.375706 | + | 1.38446i | ||||
\(392\) | 9056.91 | 1.16695 | ||||||||
\(393\) | 3241.13 | + | 2082.95i | 0.416013 | + | 0.267356i | ||||
\(394\) | 1601.73 | + | 11140.3i | 0.204807 | + | 1.42446i | ||||
\(395\) | 953.289 | + | 2087.41i | 0.121431 | + | 0.265896i | ||||
\(396\) | 5624.65 | + | 1651.55i | 0.713760 | + | 0.209579i | ||||
\(397\) | 4669.93 | − | 10225.7i | 0.590370 | − | 1.29273i | −0.344848 | − | 0.938658i | \(-0.612070\pi\) |
0.935218 | − | 0.354072i | \(-0.115203\pi\) | |||||||
\(398\) | 526.508 | − | 607.623i | 0.0663103 | − | 0.0765261i | ||||
\(399\) | 750.390 | − | 5219.07i | 0.0941516 | − | 0.654838i | ||||
\(400\) | 23588.4 | − | 6926.19i | 2.94856 | − | 0.865774i | ||||
\(401\) | −587.263 | − | 677.737i | −0.0731334 | − | 0.0844005i | 0.718004 | − | 0.696039i | \(-0.245056\pi\) |
−0.791137 | + | 0.611639i | \(0.790511\pi\) | |||||||
\(402\) | 13102.4 | − | 8420.37i | 1.62559 | − | 1.04470i | ||||
\(403\) | −4549.51 | + | 2923.79i | −0.562351 | + | 0.361401i | ||||
\(404\) | −23830.0 | − | 27501.3i | −2.93462 | − | 3.38673i | ||||
\(405\) | −489.938 | + | 143.859i | −0.0601117 | + | 0.0176504i | ||||
\(406\) | −1643.65 | + | 11431.8i | −0.200919 | + | 1.39742i | ||||
\(407\) | −2778.16 | + | 3206.17i | −0.338350 | + | 0.390477i | ||||
\(408\) | 10632.5 | − | 23281.9i | 1.29016 | − | 2.82507i | ||||
\(409\) | 5574.91 | + | 1636.94i | 0.673989 | + | 0.197901i | 0.600779 | − | 0.799415i | \(-0.294857\pi\) |
0.0732105 | + | 0.997317i | \(0.476675\pi\) | |||||||
\(410\) | −2430.04 | − | 5321.04i | −0.292710 | − | 0.640945i | ||||
\(411\) | 1270.50 | + | 8836.53i | 0.152480 | + | 1.06052i | ||||
\(412\) | −3809.57 | − | 2448.26i | −0.455543 | − | 0.292760i | ||||
\(413\) | 6264.87 | 0.746426 | ||||||||
\(414\) | −5089.79 | + | 2198.83i | −0.604226 | + | 0.261031i | ||||
\(415\) | −2082.68 | −0.246348 | ||||||||
\(416\) | −27141.8 | − | 17443.0i | −3.19888 | − | 2.05580i | ||||
\(417\) | −108.930 | − | 757.624i | −0.0127921 | − | 0.0889713i | ||||
\(418\) | −7450.65 | − | 16314.6i | −0.871826 | − | 1.90903i | ||||
\(419\) | −3749.35 | − | 1100.91i | −0.437154 | − | 0.128360i | 0.0557477 | − | 0.998445i | \(-0.482246\pi\) |
−0.492902 | + | 0.870085i | \(0.664064\pi\) | |||||||
\(420\) | 2800.63 | − | 6132.53i | 0.325374 | − | 0.712469i | ||||
\(421\) | −2583.40 | + | 2981.40i | −0.299067 | + | 0.345142i | −0.885317 | − | 0.464989i | \(-0.846058\pi\) |
0.586250 | + | 0.810131i | \(0.300604\pi\) | |||||||
\(422\) | 1283.11 | − | 8924.22i | 0.148011 | − | 1.02944i | ||||
\(423\) | 33.1382 | − | 9.73024i | 0.00380906 | − | 0.00111844i | ||||
\(424\) | 25332.9 | + | 29235.8i | 2.90159 | + | 3.34862i | ||||
\(425\) | −7212.00 | + | 4634.87i | −0.823137 | + | 0.528998i | ||||
\(426\) | −1905.99 | + | 1224.91i | −0.216774 | + | 0.139312i | ||||
\(427\) | 1265.88 | + | 1460.90i | 0.143466 | + | 0.165569i | ||||
\(428\) | 23843.4 | − | 7001.05i | 2.69279 | − | 0.790675i | ||||
\(429\) | −415.252 | + | 2888.14i | −0.0467333 | + | 0.325037i | ||||
\(430\) | −520.165 | + | 600.302i | −0.0583362 | + | 0.0673236i | ||||
\(431\) | −5303.70 | + | 11613.5i | −0.592738 | + | 1.29792i | 0.341035 | + | 0.940051i | \(0.389222\pi\) |
−0.933773 | + | 0.357865i | \(0.883505\pi\) | |||||||
\(432\) | 7469.96 | + | 2193.38i | 0.831942 | + | 0.244280i | ||||
\(433\) | 5562.60 | + | 12180.4i | 0.617370 | + | 1.35185i | 0.917417 | + | 0.397928i | \(0.130271\pi\) |
−0.300046 | + | 0.953925i | \(0.597002\pi\) | |||||||
\(434\) | 1907.80 | + | 13269.0i | 0.211007 | + | 1.46759i | ||||
\(435\) | −2140.44 | − | 1375.58i | −0.235923 | − | 0.151618i | ||||
\(436\) | −41788.1 | −4.59011 | ||||||||
\(437\) | 11362.6 | + | 5474.87i | 1.24382 | + | 0.599310i | ||||
\(438\) | −15957.1 | −1.74078 | ||||||||
\(439\) | 8214.37 | + | 5279.05i | 0.893053 | + | 0.573930i | 0.904722 | − | 0.426001i | \(-0.140078\pi\) |
−0.0116692 | + | 0.999932i | \(0.503715\pi\) | |||||||
\(440\) | −2137.86 | − | 14869.2i | −0.231633 | − | 1.61104i | ||||
\(441\) | −399.077 | − | 873.857i | −0.0430922 | − | 0.0943588i | ||||
\(442\) | 18660.5 | + | 5479.22i | 2.00812 | + | 0.589638i | ||||
\(443\) | 3294.02 | − | 7212.90i | 0.353282 | − | 0.773579i | −0.646660 | − | 0.762778i | \(-0.723835\pi\) |
0.999942 | − | 0.0108005i | \(-0.00343797\pi\) | |||||||
\(444\) | −6882.66 | + | 7943.02i | −0.735668 | + | 0.849007i | ||||
\(445\) | −312.554 | + | 2173.86i | −0.0332954 | + | 0.231575i | ||||
\(446\) | −29695.9 | + | 8719.49i | −3.15278 | + | 0.925739i | ||||
\(447\) | −1888.32 | − | 2179.24i | −0.199809 | − | 0.230592i | ||||
\(448\) | −37451.4 | + | 24068.6i | −3.94958 | + | 2.53824i | ||||
\(449\) | 9863.25 | − | 6338.72i | 1.03669 | − | 0.666242i | 0.0925267 | − | 0.995710i | \(-0.470506\pi\) |
0.944167 | + | 0.329468i | \(0.106869\pi\) | |||||||
\(450\) | −2806.47 | − | 3238.84i | −0.293996 | − | 0.339289i | ||||
\(451\) | 4477.14 | − | 1314.61i | 0.467451 | − | 0.137256i | ||||
\(452\) | 807.931 | − | 5619.28i | 0.0840749 | − | 0.584754i | ||||
\(453\) | −434.535 | + | 501.480i | −0.0450689 | + | 0.0520123i | ||||
\(454\) | 2733.13 | − | 5984.71i | 0.282537 | − | 0.618670i | ||||
\(455\) | 3219.77 | + | 945.409i | 0.331747 | + | 0.0974098i | ||||
\(456\) | −12091.3 | − | 26476.2i | −1.24173 | − | 2.71900i | ||||
\(457\) | −1856.87 | − | 12914.8i | −0.190068 | − | 1.32195i | −0.831824 | − | 0.555040i | \(-0.812703\pi\) |
0.641756 | − | 0.766909i | \(-0.278206\pi\) | |||||||
\(458\) | 6041.26 | + | 3882.48i | 0.616352 | + | 0.396106i | ||||
\(459\) | −2714.86 | −0.276076 | ||||||||
\(460\) | 11967.7 | + | 10809.8i | 1.21304 | + | 1.09567i | ||||
\(461\) | 3059.30 | 0.309080 | 0.154540 | − | 0.987987i | \(-0.450610\pi\) | ||||
0.154540 | + | 0.987987i | \(0.450610\pi\) | |||||||
\(462\) | 6084.61 | + | 3910.34i | 0.612731 | + | 0.393778i | ||||
\(463\) | −906.941 | − | 6307.91i | −0.0910348 | − | 0.633161i | −0.983346 | − | 0.181741i | \(-0.941827\pi\) |
0.892312 | − | 0.451420i | \(-0.149082\pi\) | |||||||
\(464\) | 16115.2 | + | 35287.4i | 1.61235 | + | 3.53055i | ||||
\(465\) | −2833.62 | − | 832.026i | −0.282594 | − | 0.0829769i | ||||
\(466\) | −1951.45 | + | 4273.07i | −0.193989 | + | 0.424777i | ||||
\(467\) | −8790.63 | + | 10144.9i | −0.871053 | + | 1.00525i | 0.128854 | + | 0.991664i | \(0.458870\pi\) |
−0.999908 | + | 0.0135855i | \(0.995675\pi\) | |||||||
\(468\) | −1028.75 | + | 7155.13i | −0.101611 | + | 0.706722i | ||||
\(469\) | 13709.2 | − | 4025.39i | 1.34975 | − | 0.396323i | ||||
\(470\) | −88.4772 | − | 102.108i | −0.00868330 | − | 0.0100211i | ||||
\(471\) | 5030.27 | − | 3232.76i | 0.492108 | − | 0.316258i | ||||
\(472\) | 29093.3 | − | 18697.1i | 2.83714 | − | 1.82332i | ||||
\(473\) | −414.925 | − | 478.848i | −0.0403346 | − | 0.0465486i | ||||
\(474\) | −5852.14 | + | 1718.34i | −0.567084 | + | 0.166511i | ||||
\(475\) | −1387.45 | + | 9649.90i | −0.134022 | + | 0.932143i | ||||
\(476\) | 23473.1 | − | 27089.4i | 2.26027 | − | 2.60849i | ||||
\(477\) | 1704.56 | − | 3732.47i | 0.163620 | − | 0.358277i | ||||
\(478\) | −26016.9 | − | 7639.26i | −2.48951 | − | 0.730987i | ||||
\(479\) | −7346.68 | − | 16087.0i | −0.700790 | − | 1.53452i | −0.839011 | − | 0.544115i | \(-0.816866\pi\) |
0.138221 | − | 0.990401i | \(-0.455862\pi\) | |||||||
\(480\) | −2507.40 | − | 17439.3i | −0.238430 | − | 1.65832i | ||||
\(481\) | −4400.91 | − | 2828.30i | −0.417182 | − | 0.268106i | ||||
\(482\) | −12435.1 | −1.17511 | ||||||||
\(483\) | −5048.43 | + | 619.969i | −0.475594 | + | 0.0584049i | ||||
\(484\) | −12576.3 | −1.18109 | ||||||||
\(485\) | 3923.59 | + | 2521.54i | 0.367342 | + | 0.236076i | ||||
\(486\) | −193.144 | − | 1343.34i | −0.0180271 | − | 0.125381i | ||||
\(487\) | −8437.65 | − | 18475.9i | −0.785106 | − | 1.71914i | −0.690158 | − | 0.723659i | \(-0.742459\pi\) |
−0.0949480 | − | 0.995482i | \(-0.530268\pi\) | |||||||
\(488\) | 10238.6 | + | 3006.31i | 0.949749 | + | 0.278871i | ||||
\(489\) | −1449.87 | + | 3174.77i | −0.134081 | + | 0.293595i | ||||
\(490\) | −2461.04 | + | 2840.20i | −0.226895 | + | 0.261851i | ||||
\(491\) | 455.246 | − | 3166.31i | 0.0418431 | − | 0.291025i | −0.958146 | − | 0.286281i | \(-0.907581\pi\) |
0.999989 | − | 0.00474403i | \(-0.00151008\pi\) | |||||||
\(492\) | 11091.7 | − | 3256.83i | 1.01637 | − | 0.298433i | ||||
\(493\) | −8858.78 | − | 10223.6i | −0.809288 | − | 0.933969i | ||||
\(494\) | 18605.7 | − | 11957.2i | 1.69456 | − | 1.08902i | ||||
\(495\) | −1340.45 | + | 861.455i | −0.121715 | + | 0.0782212i | ||||
\(496\) | 29486.7 | + | 34029.4i | 2.66934 | + | 3.08058i | ||||
\(497\) | −1994.27 | + | 585.571i | −0.179991 | + | 0.0528500i | ||||
\(498\) | 787.775 | − | 5479.10i | 0.0708857 | − | 0.493021i | ||||
\(499\) | −6072.20 | + | 7007.69i | −0.544748 | + | 0.628672i | −0.959651 | − | 0.281193i | \(-0.909270\pi\) |
0.414904 | + | 0.909865i | \(0.363815\pi\) | |||||||
\(500\) | −12770.2 | + | 27962.8i | −1.14220 | + | 2.50107i | ||||
\(501\) | 4776.60 | + | 1402.54i | 0.425953 | + | 0.125071i | ||||
\(502\) | −8563.99 | − | 18752.5i | −0.761414 | − | 1.66726i | ||||
\(503\) | −1593.54 | − | 11083.3i | −0.141257 | − | 0.982465i | −0.929952 | − | 0.367681i | \(-0.880152\pi\) |
0.788695 | − | 0.614785i | \(-0.210757\pi\) | |||||||
\(504\) | 9874.42 | + | 6345.90i | 0.872701 | + | 0.560851i | ||||
\(505\) | 9891.12 | 0.871583 | ||||||||
\(506\) | −13306.2 | + | 11058.2i | −1.16904 | + | 0.971535i | ||||
\(507\) | 2992.93 | 0.262171 | ||||||||
\(508\) | 10038.8 | + | 6451.51i | 0.876767 | + | 0.563464i | ||||
\(509\) | 415.908 | + | 2892.70i | 0.0362177 | + | 0.251899i | 0.999884 | − | 0.0152083i | \(-0.00484113\pi\) |
−0.963667 | + | 0.267108i | \(0.913932\pi\) | |||||||
\(510\) | 4411.90 | + | 9660.72i | 0.383063 | + | 0.838791i | ||||
\(511\) | −14045.8 | − | 4124.21i | −1.21595 | − | 0.357034i | ||||
\(512\) | −30283.9 | + | 66312.4i | −2.61401 | + | 5.72387i | ||||
\(513\) | −2021.78 | + | 2333.26i | −0.174004 | + | 0.200811i | ||||
\(514\) | −2696.89 | + | 18757.3i | −0.231429 | + | 1.60963i | ||||
\(515\) | 1181.03 | − | 346.782i | 0.101053 | − | 0.0296719i | ||||
\(516\) | −1027.94 | − | 1186.31i | −0.0876988 | − | 0.101210i | ||||
\(517\) | 90.6646 | − | 58.2666i | 0.00771262 | − | 0.00495660i | ||||
\(518\) | −10909.0 | + | 7010.82i | −0.925321 | + | 0.594667i | ||||
\(519\) | 3988.79 | + | 4603.31i | 0.337357 | + | 0.389331i | ||||
\(520\) | 17773.7 | − | 5218.84i | 1.49890 | − | 0.440118i | ||||
\(521\) | −287.648 | + | 2000.63i | −0.0241882 | + | 0.168233i | −0.998335 | − | 0.0576836i | \(-0.981629\pi\) |
0.974147 | + | 0.225916i | \(0.0725376\pi\) | |||||||
\(522\) | 4428.50 | − | 5110.76i | 0.371322 | − | 0.428528i | ||||
\(523\) | −6649.01 | + | 14559.3i | −0.555910 | + | 1.21727i | 0.398057 | + | 0.917361i | \(0.369685\pi\) |
−0.953967 | + | 0.299912i | \(0.903043\pi\) | |||||||
\(524\) | 28578.1 | + | 8391.30i | 2.38252 | + | 0.699572i | ||||
\(525\) | −1633.21 | − | 3576.23i | −0.135770 | − | 0.297294i | ||||
\(526\) | 5323.60 | + | 37026.5i | 0.441293 | + | 3.06926i | ||||
\(527\) | −13209.1 | − | 8489.00i | −1.09184 | − | 0.701683i | ||||
\(528\) | 24294.1 | 2.00240 | ||||||||
\(529\) | 2226.29 | − | 11961.6i | 0.182977 | − | 0.983117i | ||||
\(530\) | −16051.9 | −1.31557 | ||||||||
\(531\) | −3085.94 | − | 1983.21i | −0.252200 | − | 0.162079i | ||||
\(532\) | −5801.09 | − | 40347.5i | −0.472762 | − | 3.28813i | ||||
\(533\) | 2390.28 | + | 5233.98i | 0.194248 | + | 0.425345i | ||||
\(534\) | −5600.76 | − | 1644.53i | −0.453874 | − | 0.133269i | ||||
\(535\) | −2805.94 | + | 6144.16i | −0.226750 | + | 0.496514i | ||||
\(536\) | 51650.5 | − | 59607.8i | 4.16224 | − | 4.80348i | ||||
\(537\) | −730.377 | + | 5079.88i | −0.0586929 | + | 0.408218i | ||||
\(538\) | 7743.40 | − | 2273.67i | 0.620524 | − | 0.182202i | ||||
\(539\) | −1963.12 | − | 2265.57i | −0.156879 | − | 0.181048i | ||||
\(540\) | −3320.85 | + | 2134.18i | −0.264642 | + | 0.170075i | ||||
\(541\) | 19514.3 | − | 12541.1i | 1.55081 | − | 0.996642i | 0.565716 | − | 0.824600i | \(-0.308600\pi\) |
0.985090 | − | 0.172042i | \(-0.0550364\pi\) | |||||||
\(542\) | 7399.75 | + | 8539.76i | 0.586432 | + | 0.676779i | ||||
\(543\) | −4644.29 | + | 1363.69i | −0.367046 | + | 0.107774i | ||||
\(544\) | 13331.3 | − | 92721.0i | 1.05069 | − | 7.30768i | ||||
\(545\) | 7438.27 | − | 8584.22i | 0.584625 | − | 0.674693i | ||||
\(546\) | −3705.06 | + | 8112.95i | −0.290406 | + | 0.635901i | ||||
\(547\) | −11056.9 | − | 3246.60i | −0.864275 | − | 0.253774i | −0.180596 | − | 0.983557i | \(-0.557803\pi\) |
−0.683679 | + | 0.729783i | \(0.739621\pi\) | |||||||
\(548\) | 28670.2 | + | 62778.9i | 2.23491 | + | 4.89376i | ||||
\(549\) | −161.080 | − | 1120.34i | −0.0125223 | − | 0.0870943i | ||||
\(550\) | −11250.2 | − | 7230.09i | −0.872204 | − | 0.560531i | ||||
\(551\) | −15383.8 | −1.18942 | ||||||||
\(552\) | −21594.1 | + | 17945.8i | −1.66504 | + | 1.38374i | ||||
\(553\) | −5595.28 | −0.430263 | ||||||||
\(554\) | 9281.22 | + | 5964.68i | 0.711771 | + | 0.457428i | ||||
\(555\) | −406.563 | − | 2827.71i | −0.0310949 | − | 0.216270i | ||||
\(556\) | −2458.11 | − | 5382.52i | −0.187495 | − | 0.410557i | ||||
\(557\) | −23031.7 | − | 6762.71i | −1.75203 | − | 0.514444i | −0.761081 | − | 0.648657i | \(-0.775331\pi\) |
−0.990952 | + | 0.134213i | \(0.957149\pi\) | |||||||
\(558\) | 3260.71 | − | 7139.96i | 0.247378 | − | 0.541682i | ||||
\(559\) | 511.654 | − | 590.480i | 0.0387132 | − | 0.0446774i | ||||
\(560\) | 3976.23 | − | 27655.3i | 0.300047 | − | 2.08687i | ||||
\(561\) | −8128.56 | + | 2386.76i | −0.611743 | + | 0.179624i | ||||
\(562\) | 13836.0 | + | 15967.6i | 1.03850 | + | 1.19849i | ||||
\(563\) | 16655.0 | − | 10703.5i | 1.24676 | − | 0.801245i | 0.260346 | − | 0.965515i | \(-0.416163\pi\) |
0.986415 | + | 0.164271i | \(0.0525270\pi\) | |||||||
\(564\) | 224.614 | − | 144.351i | 0.0167694 | − | 0.0107770i | ||||
\(565\) | 1010.52 | + | 1166.20i | 0.0752438 | + | 0.0868360i | ||||
\(566\) | 21987.5 | − | 6456.11i | 1.63287 | − | 0.479453i | ||||
\(567\) | 177.186 | − | 1232.36i | 0.0131236 | − | 0.0912770i | ||||
\(568\) | −7513.56 | + | 8671.11i | −0.555039 | + | 0.640549i | ||||
\(569\) | 7984.07 | − | 17482.7i | 0.588242 | − | 1.28807i | −0.348257 | − | 0.937399i | \(-0.613226\pi\) |
0.936499 | − | 0.350670i | \(-0.114046\pi\) | |||||||
\(570\) | 11588.4 | + | 3402.66i | 0.851551 | + | 0.250038i | ||||
\(571\) | 6672.39 | + | 14610.5i | 0.489021 | + | 1.07081i | 0.979884 | + | 0.199570i | \(0.0639544\pi\) |
−0.490863 | + | 0.871237i | \(0.663318\pi\) | |||||||
\(572\) | 3210.22 | + | 22327.6i | 0.234661 | + | 1.63210i | ||||
\(573\) | 5633.12 | + | 3620.19i | 0.410693 | + | 0.263936i | ||||
\(574\) | 14263.0 | 1.03715 | ||||||||
\(575\) | 9334.39 | − | 1146.30i | 0.676993 | − | 0.0831376i | ||||
\(576\) | 26066.9 | 1.88563 | ||||||||
\(577\) | −18792.6 | − | 12077.3i | −1.35589 | − | 0.871375i | −0.357836 | − | 0.933785i | \(-0.616485\pi\) |
−0.998051 | + | 0.0624092i | \(0.980122\pi\) | |||||||
\(578\) | 4131.03 | + | 28732.0i | 0.297281 | + | 2.06763i | ||||
\(579\) | −3744.06 | − | 8198.34i | −0.268735 | − | 0.588448i | ||||
\(580\) | −18873.0 | − | 5541.62i | −1.35114 | − | 0.396730i | ||||
\(581\) | 2109.52 | − | 4619.20i | 0.150633 | − | 0.329840i | ||||
\(582\) | −8117.76 | + | 9368.39i | −0.578165 | + | 0.667238i | ||||
\(583\) | 1822.24 | − | 12673.9i | 0.129450 | − | 0.900345i | ||||
\(584\) | −77535.4 | + | 22766.4i | −5.49390 | + | 1.61315i | ||||
\(585\) | −1286.71 | − | 1484.94i | −0.0909382 | − | 0.104948i | ||||
\(586\) | 2161.11 | − | 1388.86i | 0.152346 | − | 0.0979068i | ||||
\(587\) | 22268.7 | − | 14311.2i | 1.56581 | − | 1.00628i | 0.585061 | − | 0.810989i | \(-0.301070\pi\) |
0.980745 | − | 0.195293i | \(-0.0625659\pi\) | |||||||
\(588\) | −4863.47 | − | 5612.75i | −0.341099 | − | 0.393649i | ||||
\(589\) | −17132.8 | + | 5030.63i | −1.19854 | + | 0.351924i | ||||
\(590\) | −2042.24 | + | 14204.1i | −0.142505 | + | 0.991141i | ||||
\(591\) | 3958.99 | − | 4568.92i | 0.275552 | − | 0.318004i | ||||
\(592\) | −18094.1 | + | 39620.6i | −1.25619 | + | 2.75067i | ||||
\(593\) | 17133.1 | + | 5030.72i | 1.18646 | + | 0.348376i | 0.814661 | − | 0.579938i | \(-0.196923\pi\) |
0.371798 | + | 0.928314i | \(0.378741\pi\) | |||||||
\(594\) | −1759.29 | − | 3852.30i | −0.121523 | − | 0.266097i | ||||
\(595\) | 1386.57 | + | 9643.82i | 0.0955360 | + | 0.664468i | ||||
\(596\) | −18753.3 | − | 12052.0i | −1.28887 | − | 0.828304i | ||||
\(597\) | −431.871 | −0.0296069 | ||||||||
\(598\) | −15832.5 | − | 14300.6i | −1.08267 | − | 0.977920i | ||||
\(599\) | 6135.25 | 0.418497 | 0.209248 | − | 0.977863i | \(-0.432898\pi\) | ||||
0.209248 | + | 0.977863i | \(0.432898\pi\) | |||||||
\(600\) | −18257.5 | − | 11733.4i | −1.24226 | − | 0.798355i | ||||
\(601\) | 1309.14 | + | 9105.24i | 0.0888532 | + | 0.617988i | 0.984783 | + | 0.173791i | \(0.0556017\pi\) |
−0.895929 | + | 0.444197i | \(0.853489\pi\) | |||||||
\(602\) | −804.551 | − | 1761.72i | −0.0544702 | − | 0.119273i | ||||
\(603\) | −8027.15 | − | 2356.99i | −0.542108 | − | 0.159177i | ||||
\(604\) | −2130.99 | + | 4666.21i | −0.143557 | + | 0.314347i | ||||
\(605\) | 2238.58 | − | 2583.46i | 0.150432 | − | 0.173607i | ||||
\(606\) | −3741.33 | + | 26021.5i | −0.250794 | + | 1.74431i | ||||
\(607\) | −17946.9 | + | 5269.67i | −1.20007 | + | 0.352371i | −0.819878 | − | 0.572538i | \(-0.805959\pi\) |
−0.380188 | + | 0.924909i | \(0.624141\pi\) | |||||||
\(608\) | −69760.2 | − | 80507.6i | −4.65321 | − | 5.37009i | ||||
\(609\) | 5218.95 | − | 3354.02i | 0.347262 | − | 0.223172i | ||||
\(610\) | −3724.90 | + | 2393.84i | −0.247240 | + | 0.158892i | ||||
\(611\) | 87.0296 | + | 100.438i | 0.00576242 | + | 0.00665019i | ||||
\(612\) | −20137.8 | + | 5913.00i | −1.33010 | + | 0.390553i | ||||
\(613\) | −2694.35 | + | 18739.6i | −0.177527 | + | 1.23472i | 0.684936 | + | 0.728603i | \(0.259830\pi\) |
−0.862462 | + | 0.506121i | \(0.831079\pi\) | |||||||
\(614\) | 406.609 | − | 469.252i | 0.0267254 | − | 0.0308428i | ||||
\(615\) | −1305.30 | + | 2858.21i | −0.0855850 | + | 0.187405i | ||||
\(616\) | 35143.9 | + | 10319.2i | 2.29868 | + | 0.674955i | ||||
\(617\) | 712.486 | + | 1560.13i | 0.0464888 | + | 0.101796i | 0.931451 | − | 0.363866i | \(-0.118543\pi\) |
−0.884962 | + | 0.465662i | \(0.845816\pi\) | |||||||
\(618\) | 465.586 | + | 3238.22i | 0.0303052 | + | 0.210777i | ||||
\(619\) | 19171.4 | + | 12320.7i | 1.24485 | + | 0.800017i | 0.986136 | − | 0.165937i | \(-0.0530649\pi\) |
0.258714 | + | 0.965954i | \(0.416701\pi\) | |||||||
\(620\) | −22830.9 | −1.47889 | ||||||||
\(621\) | 2683.01 | + | 1292.75i | 0.173374 | + | 0.0835369i | ||||
\(622\) | 7016.52 | 0.452310 | ||||||||
\(623\) | −4504.86 | − | 2895.09i | −0.289700 | − | 0.186179i | ||||
\(624\) | 4263.42 | + | 29652.7i | 0.273515 | + | 1.90234i | ||||
\(625\) | 956.174 | + | 2093.73i | 0.0611951 | + | 0.133999i | ||||
\(626\) | −52230.7 | − | 15336.3i | −3.33476 | − | 0.979174i | ||||
\(627\) | −4002.13 | + | 8763.45i | −0.254912 | + | 0.558179i | ||||
\(628\) | 30271.7 | − | 34935.4i | 1.92352 | − | 2.21986i | ||||
\(629\) | 2161.60 | − | 15034.3i | 0.137025 | − | 0.953031i | ||||
\(630\) | −4673.23 | + | 1372.18i | −0.295533 | + | 0.0867763i | ||||
\(631\) | −2916.31 | − | 3365.60i | −0.183988 | − | 0.212334i | 0.656261 | − | 0.754534i | \(-0.272137\pi\) |
−0.840249 | + | 0.542200i | \(0.817591\pi\) | |||||||
\(632\) | −25983.8 | + | 16698.8i | −1.63541 | + | 1.05102i | ||||
\(633\) | −4074.16 | + | 2618.30i | −0.255819 | + | 0.164405i | ||||
\(634\) | 3767.99 | + | 4348.50i | 0.236035 | + | 0.272399i | ||||
\(635\) | −3112.18 | + | 913.819i | −0.194493 | + | 0.0571083i | ||||
\(636\) | 4514.44 | − | 31398.6i | 0.281461 | − | 1.95761i | ||||
\(637\) | 2420.78 | − | 2793.73i | 0.150573 | − | 0.173770i | ||||
\(638\) | 8766.25 | − | 19195.4i | 0.543980 | − | 1.19115i | ||||
\(639\) | 1167.70 | + | 342.869i | 0.0722906 | + | 0.0212264i | ||||
\(640\) | −22843.7 | − | 50020.7i | −1.41090 | − | 3.08944i | ||||
\(641\) | 3940.93 | + | 27409.8i | 0.242835 | + | 1.68895i | 0.637755 | + | 0.770239i | \(0.279863\pi\) |
−0.394920 | + | 0.918716i | \(0.629228\pi\) | |||||||
\(642\) | −15102.7 | − | 9705.91i | −0.928435 | − | 0.596669i | ||||
\(643\) | 23913.4 | 1.46665 | 0.733323 | − | 0.679880i | \(-0.237968\pi\) | ||||
0.733323 | + | 0.679880i | \(0.237968\pi\) | |||||||
\(644\) | −36097.1 | + | 15594.2i | −2.20873 | + | 0.954191i | ||||
\(645\) | 426.667 | 0.0260465 | ||||||||
\(646\) | 54020.2 | + | 34716.7i | 3.29009 | + | 2.11441i | ||||
\(647\) | −2405.11 | − | 16727.9i | −0.146143 | − | 1.01645i | −0.922456 | − | 0.386102i | \(-0.873821\pi\) |
0.776313 | − | 0.630348i | \(-0.217088\pi\) | |||||||
\(648\) | −2855.06 | − | 6251.71i | −0.173082 | − | 0.378997i | ||||
\(649\) | −10983.1 | − | 3224.94i | −0.664293 | − | 0.195054i | ||||
\(650\) | 6850.54 | − | 15000.6i | 0.413385 | − | 0.905187i | ||||
\(651\) | 4715.50 | − | 5441.98i | 0.283894 | − | 0.327631i | ||||
\(652\) | −3839.90 | + | 26707.1i | −0.230647 | + | 1.60419i | ||||
\(653\) | 27554.0 | − | 8090.58i | 1.65126 | − | 0.484853i | 0.682093 | − | 0.731266i | \(-0.261070\pi\) |
0.969165 | + | 0.246413i | \(0.0792518\pi\) | |||||||
\(654\) | 19769.8 | + | 22815.6i | 1.18205 | + | 1.36416i | ||||
\(655\) | −6810.66 | + | 4376.95i | −0.406282 | + | 0.261101i | ||||
\(656\) | 40302.5 | − | 25900.8i | 2.39870 | − | 1.54155i | ||||
\(657\) | 5613.08 | + | 6477.85i | 0.333314 | + | 0.384665i | ||||
\(658\) | 316.085 | − | 92.8109i | 0.0187269 | − | 0.00549870i | ||||
\(659\) | −1206.65 | + | 8392.44i | −0.0713270 | + | 0.496090i | 0.922575 | + | 0.385819i | \(0.126081\pi\) |
−0.993902 | + | 0.110271i | \(0.964828\pi\) | |||||||
\(660\) | −8066.70 | + | 9309.46i | −0.475751 | + | 0.549046i | ||||
\(661\) | −7369.06 | + | 16136.0i | −0.433621 | + | 0.949497i | 0.559105 | + | 0.829097i | \(0.311145\pi\) |
−0.992725 | + | 0.120400i | \(0.961582\pi\) | |||||||
\(662\) | −43532.2 | − | 12782.2i | −2.55578 | − | 0.750446i | ||||
\(663\) | −4339.72 | − | 9502.65i | −0.254209 | − | 0.556640i | ||||
\(664\) | −3989.38 | − | 27746.7i | −0.233160 | − | 1.62166i | ||||
\(665\) | 9320.88 | + | 5990.17i | 0.543531 | + | 0.349306i | ||||
\(666\) | 7592.91 | 0.441771 | ||||||||
\(667\) | 3886.61 | + | 14322.0i | 0.225622 | + | 0.831407i | ||||
\(668\) | 38485.7 | 2.22913 | ||||||||
\(669\) | 13985.5 | + | 8987.94i | 0.808238 | + | 0.519423i | ||||
\(670\) | 4657.64 | + | 32394.6i | 0.268568 | + | 1.86793i | ||||
\(671\) | −1467.23 | − | 3212.78i | −0.0844139 | − | 0.184841i | ||||
\(672\) | 41218.7 | + | 12102.9i | 2.36614 | + | 0.694762i | ||||
\(673\) | 10309.6 | − | 22574.9i | 0.590499 | − | 1.29301i | −0.344641 | − | 0.938734i | \(-0.611999\pi\) |
0.935140 | − | 0.354278i | \(-0.115273\pi\) | |||||||
\(674\) | 8193.59 | − | 9455.91i | 0.468257 | − | 0.540397i | ||||
\(675\) | −327.611 | + | 2278.59i | −0.0186811 | + | 0.129930i | ||||
\(676\) | 22200.5 | − | 6518.64i | 1.26311 | − | 0.370883i | ||||
\(677\) | 12817.4 | + | 14792.1i | 0.727642 | + | 0.839743i | 0.992204 | − | 0.124626i | \(-0.0397729\pi\) |
−0.264562 | + | 0.964369i | \(0.585227\pi\) | |||||||
\(678\) | −3450.26 | + | 2217.35i | −0.195437 | + | 0.125600i | ||||
\(679\) | −9566.71 | + | 6148.15i | −0.540702 | + | 0.347488i | ||||
\(680\) | 35220.5 | + | 40646.6i | 1.98624 | + | 2.29225i | ||||
\(681\) | −3390.91 | + | 995.662i | −0.190808 | + | 0.0560262i | ||||
\(682\) | 3485.82 | − | 24244.4i | 0.195717 | − | 1.36124i | ||||
\(683\) | 3375.83 | − | 3895.92i | 0.189125 | − | 0.218262i | −0.653266 | − | 0.757128i | \(-0.726602\pi\) |
0.842391 | + | 0.538866i | \(0.181147\pi\) | |||||||
\(684\) | −9914.95 | + | 21710.7i | −0.554251 | + | 1.21364i | ||||
\(685\) | −17999.5 | − | 5285.13i | −1.00398 | − | 0.294795i | ||||
\(686\) | −16038.5 | − | 35119.3i | −0.892640 | − | 1.95461i | ||||
\(687\) | −548.969 | − | 3818.17i | −0.0304869 | − | 0.212041i | ||||
\(688\) | −5472.60 | − | 3517.02i | −0.303257 | − | 0.194891i | ||||
\(689\) | 15789.3 | 0.873039 | ||||||||
\(690\) | 240.072 | − | 11648.2i | 0.0132455 | − | 0.642666i | ||||
\(691\) | 8811.31 | 0.485091 | 0.242546 | − | 0.970140i | \(-0.422018\pi\) | ||||
0.242546 | + | 0.970140i | \(0.422018\pi\) | |||||||
\(692\) | 39613.4 | + | 25458.0i | 2.17612 | + | 1.39851i | ||||
\(693\) | −552.909 | − | 3845.56i | −0.0303077 | − | 0.210795i | ||||
\(694\) | −7827.11 | − | 17139.0i | −0.428117 | − | 0.937445i | ||||
\(695\) | 1543.24 | + | 453.135i | 0.0842277 | + | 0.0247315i | ||||
\(696\) | 14226.3 | − | 31151.3i | 0.774780 | − | 1.69653i | ||||
\(697\) | −10940.2 | + | 12625.7i | −0.594533 | + | 0.686127i | ||||
\(698\) | −4938.78 | + | 34350.0i | −0.267816 | + | 1.86270i | ||||
\(699\) | 2421.10 | − | 710.900i | 0.131008 | − | 0.0384674i | ||||
\(700\) | −19903.6 | − | 22970.0i | −1.07469 | − | 1.24026i | ||||
\(701\) | 590.222 | − | 379.313i | 0.0318008 | − | 0.0204372i | −0.524644 | − | 0.851322i | \(-0.675801\pi\) |
0.556445 | + | 0.830885i | \(0.312165\pi\) | |||||||
\(702\) | 4393.28 | − | 2823.39i | 0.236202 | − | 0.151798i | ||||
\(703\) | −11311.3 | − | 13053.9i | −0.606847 | − | 0.700339i | ||||
\(704\) | 78046.9 | − | 22916.7i | 4.17827 | − | 1.22685i | ||||
\(705\) | −10.3283 | + | 71.8351i | −0.000551755 | + | 0.00383754i | ||||
\(706\) | 5333.89 | − | 6155.63i | 0.284339 | − | 0.328145i | ||||
\(707\) | −10018.6 | + | 21937.7i | −0.532940 | + | 1.16698i | ||||
\(708\) | −27209.8 | − | 7989.52i | −1.44436 | − | 0.424102i | ||||
\(709\) | −4987.51 | − | 10921.1i | −0.264189 | − | 0.578492i | 0.730325 | − | 0.683100i | \(-0.239369\pi\) |
−0.994514 | + | 0.104608i | \(0.966641\pi\) | |||||||
\(710\) | −677.544 | − | 4712.42i | −0.0358138 | − | 0.249090i | ||||
\(711\) | 2756.11 | + | 1771.25i | 0.145376 | + | 0.0934275i | ||||
\(712\) | −29560.2 | −1.55592 | ||||||||
\(713\) | 9011.90 | + | 14679.3i | 0.473350 | + | 0.771029i | ||||
\(714\) | −25895.4 | −1.35730 | ||||||||
\(715\) | −5158.01 | − | 3314.85i | −0.269788 | − | 0.173382i | ||||
\(716\) | 5646.38 | + | 39271.4i | 0.294714 | + | 2.04978i | ||||
\(717\) | 6050.54 | + | 13248.8i | 0.315148 | + | 0.690079i | ||||
\(718\) | 51587.5 | + | 15147.4i | 2.68138 | + | 0.787323i | ||||
\(719\) | −7265.21 | + | 15908.6i | −0.376838 | + | 0.825160i | 0.622265 | + | 0.782807i | \(0.286213\pi\) |
−0.999103 | + | 0.0423533i | \(0.986514\pi\) | |||||||
\(720\) | −10713.2 | + | 12363.7i | −0.554524 | + | 0.639955i | ||||
\(721\) | −427.119 | + | 2970.68i | −0.0220620 | + | 0.153445i | ||||
\(722\) | 33310.3 | − | 9780.80i | 1.71701 | − | 0.504160i | ||||
\(723\) | 4374.15 | + | 5048.04i | 0.225002 | + | 0.259666i | ||||
\(724\) | −31479.5 | + | 20230.6i | −1.61592 | + | 1.03849i | ||||
\(725\) | −9649.67 | + | 6201.47i | −0.494317 | + | 0.317678i | ||||
\(726\) | 5949.80 | + | 6866.44i | 0.304157 | + | 0.351016i | ||||
\(727\) | 4545.89 | − | 1334.79i | 0.231909 | − | 0.0680946i | −0.163713 | − | 0.986508i | \(-0.552347\pi\) |
0.395622 | + | 0.918413i | \(0.370529\pi\) | |||||||
\(728\) | −6427.86 | + | 44706.7i | −0.327242 | + | 2.27602i | ||||
\(729\) | −477.393 | + | 550.941i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 13929.3 | − | 30501.0i | 0.706231 | − | 1.54643i | ||||
\(731\) | 2176.60 | + | 639.108i | 0.110129 | + | 0.0323369i | ||||
\(732\) | −3634.93 | − | 7959.39i | −0.183540 | − | 0.401896i | ||||
\(733\) | −1909.17 | − | 13278.6i | −0.0962030 | − | 0.669107i | −0.979670 | − | 0.200614i | \(-0.935706\pi\) |
0.883467 | − | 0.468493i | \(-0.155203\pi\) | |||||||
\(734\) | −51905.1 | − | 33357.4i | −2.61015 | − | 1.67744i | ||||
\(735\) | 2018.68 | 0.101306 | ||||||||
\(736\) | −57326.4 | + | 85285.1i | −2.87103 | + | 4.27126i | ||||
\(737\) | −26106.2 | −1.30480 | ||||||||
\(738\) | −7025.63 | − | 4515.10i | −0.350430 | − | 0.225207i | ||||
\(739\) | −1886.36 | − | 13119.9i | −0.0938983 | − | 0.653077i | −0.981358 | − | 0.192191i | \(-0.938441\pi\) |
0.887459 | − | 0.460886i | \(-0.152468\pi\) | |||||||
\(740\) | −9174.52 | − | 20089.4i | −0.455759 | − | 0.997974i | ||||
\(741\) | −11398.8 | − | 3346.98i | −0.565108 | − | 0.165931i | ||||
\(742\) | 16258.8 | − | 35601.8i | 0.804420 | − | 1.76143i | ||||
\(743\) | −3218.97 | + | 3714.89i | −0.158940 | + | 0.183427i | −0.829634 | − | 0.558307i | \(-0.811451\pi\) |
0.670694 | + | 0.741734i | \(0.265996\pi\) | |||||||
\(744\) | 5656.96 | − | 39345.1i | 0.278756 | − | 1.93879i | ||||
\(745\) | 5813.83 | − | 1707.10i | 0.285909 | − | 0.0839505i | ||||
\(746\) | 27636.2 | + | 31893.9i | 1.35634 | + | 1.56530i | ||||
\(747\) | −2501.36 | + | 1607.53i | −0.122517 | + | 0.0787368i | ||||
\(748\) | −55096.2 | + | 35408.2i | −2.69320 | + | 1.73082i | ||||
\(749\) | −10785.1 | − | 12446.7i | −0.526141 | − | 0.607199i | ||||
\(750\) | 21308.7 | − | 6256.81i | 1.03745 | − | 0.304622i | ||||
\(751\) | −3757.95 | + | 26137.1i | −0.182596 | + | 1.26998i | 0.667999 | + | 0.744162i | \(0.267151\pi\) |
−0.850595 | + | 0.525822i | \(0.823758\pi\) | |||||||
\(752\) | 724.613 | − | 836.248i | 0.0351382 | − | 0.0405516i | ||||
\(753\) | −4600.17 | + | 10073.0i | −0.222629 | + | 0.487489i | ||||
\(754\) | 24967.8 | + | 7331.21i | 1.20593 | + | 0.354094i | ||||
\(755\) | −579.230 | − | 1268.34i | −0.0279210 | − | 0.0611384i | ||||
\(756\) | −1369.78 | − | 9527.06i | −0.0658976 | − | 0.458328i | ||||
\(757\) | 3365.74 | + | 2163.03i | 0.161598 | + | 0.103853i | 0.618941 | − | 0.785438i | \(-0.287562\pi\) |
−0.457342 | + | 0.889291i | \(0.651199\pi\) | |||||||
\(758\) | −16517.9 | −0.791498 | ||||||||
\(759\) | 9169.71 | + | 1511.87i | 0.438523 | + | 0.0723024i | ||||
\(760\) | 61162.3 | 2.91920 | ||||||||
\(761\) | −20653.0 | − | 13272.9i | −0.983801 | − | 0.632250i | −0.0533146 | − | 0.998578i | \(-0.516979\pi\) |
−0.930486 | + | 0.366328i | \(0.880615\pi\) | |||||||
\(762\) | −1226.88 | − | 8533.17i | −0.0583272 | − | 0.405675i | ||||
\(763\) | 11504.9 | + | 25192.3i | 0.545881 | + | 1.19531i | ||||
\(764\) | 49669.2 | + | 14584.2i | 2.35205 | + | 0.690625i | ||||
\(765\) | 2369.86 | − | 5189.27i | 0.112003 | − | 0.245253i | ||||
\(766\) | 14332.9 | − | 16541.0i | 0.676068 | − | 0.780224i | ||||
\(767\) | 2008.83 | − | 13971.7i | 0.0945691 | − | 0.657742i | ||||
\(768\) | 73538.9 | − | 21593.0i | 3.45522 | − | 1.01454i | ||||
\(769\) | −26621.8 | − | 30723.2i | −1.24838 | − | 1.44071i | −0.852765 | − | 0.522295i | \(-0.825076\pi\) |
−0.395618 | − | 0.918415i | \(-0.629469\pi\) | |||||||
\(770\) | −12785.7 | + | 8216.90i | −0.598398 | + | 0.384567i | ||||
\(771\) | 8563.23 | − | 5503.25i | 0.399996 | − | 0.257062i | ||||
\(772\) | −45628.1 | − | 52657.6i | −2.12719 | − | 2.45491i | ||||
\(773\) | −16199.5 | + | 4756.62i | −0.753761 | + | 0.221324i | −0.635970 | − | 0.771714i | \(-0.719400\pi\) |
−0.117791 | + | 0.993038i | \(0.537581\pi\) | |||||||
\(774\) | −161.388 | + | 1122.48i | −0.00749478 | + | 0.0521273i | ||||
\(775\) | −8718.82 | + | 10062.1i | −0.404115 | + | 0.466374i | ||||
\(776\) | −26077.9 | + | 57102.6i | −1.20637 | + | 2.64158i | ||||
\(777\) | 6683.43 | + | 1962.43i | 0.308580 | + | 0.0906072i | ||||
\(778\) | −2143.31 | − | 4693.19i | −0.0987677 | − | 0.216271i | ||||
\(779\) | 2703.73 | + | 18804.9i | 0.124353 | + | 0.864897i | ||||
\(780\) | −12778.5 | − | 8212.26i | −0.586596 | − | 0.376982i | ||||
\(781\) | 3797.65 | 0.173996 | ||||||||
\(782\) | 18672.6 | − | 59062.6i | 0.853878 | − | 2.70086i | ||||
\(783\) | −3632.49 | −0.165791 | ||||||||
\(784\) | −25892.4 | − | 16640.0i | −1.17950 | − | 0.758018i | ||||
\(785\) | 1788.17 | + | 12437.0i | 0.0813024 | + | 0.565471i | ||||
\(786\) | −8938.72 | − | 19573.1i | −0.405641 | − | 0.888229i | ||||
\(787\) | 37085.5 | + | 10889.3i | 1.67974 | + | 0.493215i | 0.976096 | − | 0.217340i | \(-0.0697379\pi\) |
0.703642 | + | 0.710555i | \(0.251556\pi\) | |||||||
\(788\) | 19415.1 | − | 42513.2i | 0.877711 | − | 1.92192i | ||||
\(789\) | 13158.4 | − | 15185.6i | 0.593726 | − | 0.685196i | ||||
\(790\) | 1823.96 | − | 12685.9i | 0.0821440 | − | 0.571324i | ||||
\(791\) | −3610.07 | + | 1060.01i | −0.162275 | + | 0.0476482i | ||||
\(792\) | −14044.5 | − | 16208.2i | −0.630113 | − | 0.727189i | ||||
\(793\) | 3663.95 | − | 2354.68i | 0.164074 | − | 0.105444i | ||||
\(794\) | −52817.6 | + | 33943.8i | −2.36074 | + | 1.51715i | ||||
\(795\) | 5646.42 | + | 6516.32i | 0.251897 | + | 0.290704i | ||||
\(796\) | −3203.45 | + | 940.619i | −0.142643 | + | 0.0418836i | ||||
\(797\) | 3981.96 | − | 27695.1i | 0.176974 | − | 1.23088i | −0.686742 | − | 0.726901i | \(-0.740960\pi\) |
0.863716 | − | 0.503979i | \(-0.168131\pi\) | |||||||
\(798\) | −19284.5 | + | 22255.6i | −0.855471 | + | 0.987266i | ||||
\(799\) | −160.291 | + | 350.989i | −0.00709725 | + | 0.0155408i | ||||
\(800\) | −76212.1 | − | 22377.9i | −3.36813 | − | 0.988972i | ||||
\(801\) | 1302.52 | + | 2852.12i | 0.0574561 | + | 0.125811i | ||||
\(802\) | 712.783 | + | 4957.52i | 0.0313831 | + | 0.218274i | ||||
\(803\) | 22501.1 | + | 14460.6i | 0.988850 | + | 0.635495i | ||||
\(804\) | −64675.9 | −2.83700 | ||||||||
\(805\) | 3221.86 | − | 10190.9i | 0.141063 | − | 0.446190i | ||||
\(806\) | 30203.8 | 1.31996 | ||||||||
\(807\) | −3646.82 | − | 2343.67i | −0.159076 | − | 0.102232i | ||||
\(808\) | 18946.5 | + | 131776.i | 0.824921 | + | 5.73745i | ||||
\(809\) | −6821.58 | − | 14937.2i | −0.296458 | − | 0.649151i | 0.701525 | − | 0.712645i | \(-0.252503\pi\) |
−0.997982 | + | 0.0634937i | \(0.979776\pi\) | |||||||
\(810\) | 2736.31 | + | 803.453i | 0.118696 | + | 0.0348524i | ||||
\(811\) | 14810.3 | − | 32430.1i | 0.641259 | − | 1.40416i | −0.257742 | − | 0.966214i | \(-0.582978\pi\) |
0.899001 | − | 0.437947i | \(-0.144294\pi\) | |||||||
\(812\) | 31407.1 | − | 36245.8i | 1.35736 | − | 1.56647i | ||||
\(813\) | 863.804 | − | 6007.89i | 0.0372632 | − | 0.259171i | ||||
\(814\) | 22733.9 | − | 6675.28i | 0.978899 | − | 0.287431i | ||||
\(815\) | −4802.74 | − | 5542.66i | −0.206420 | − | 0.238222i | ||||
\(816\) | −73172.0 | + | 47024.8i | −3.13913 | + | 2.01740i | ||||
\(817\) | 2170.21 | − | 1394.71i | 0.0929327 | − | 0.0597242i | ||||
\(818\) | −21250.5 | − | 24524.4i | −0.908320 | − | 1.04826i | ||||
\(819\) | 4596.76 | − | 1349.73i | 0.196122 | − | 0.0575866i | ||||
\(820\) | −3457.01 | + | 24044.1i | −0.147225 | + | 1.02397i | ||||
\(821\) | −16915.9 | + | 19522.0i | −0.719085 | + | 0.829868i | −0.991197 | − | 0.132397i | \(-0.957732\pi\) |
0.272112 | + | 0.962266i | \(0.412278\pi\) | |||||||
\(822\) | 20712.4 | − | 45353.9i | 0.878867 | − | 1.92445i | ||||
\(823\) | −35770.3 | − | 10503.1i | −1.51504 | − | 0.444855i | −0.584604 | − | 0.811319i | \(-0.698750\pi\) |
−0.930432 | + | 0.366464i | \(0.880568\pi\) | |||||||
\(824\) | 6882.32 | + | 15070.2i | 0.290967 | + | 0.637129i | ||||
\(825\) | 1022.31 | + | 7110.32i | 0.0431422 | + | 0.300060i | ||||
\(826\) | −29434.9 | − | 18916.7i | −1.23992 | − | 0.796847i | ||||
\(827\) | −6262.00 | −0.263302 | −0.131651 | − | 0.991296i | \(-0.542028\pi\) | ||||
−0.131651 | + | 0.991296i | \(0.542028\pi\) | |||||||
\(828\) | 22717.2 | + | 3745.54i | 0.953474 | + | 0.157206i | ||||
\(829\) | 7012.08 | 0.293775 | 0.146887 | − | 0.989153i | \(-0.453074\pi\) | ||||
0.146887 | + | 0.989153i | \(0.453074\pi\) | |||||||
\(830\) | 9785.26 | + | 6288.61i | 0.409219 | + | 0.262989i | ||||
\(831\) | −843.385 | − | 5865.87i | −0.0352066 | − | 0.244867i | ||||
\(832\) | 41668.1 | + | 91240.4i | 1.73628 | + | 3.80191i | ||||
\(833\) | 10298.1 | + | 3023.80i | 0.428342 | + | 0.125772i | ||||
\(834\) | −1775.84 | + | 3888.54i | −0.0737316 | + | 0.161450i | ||||
\(835\) | −6850.45 | + | 7905.84i | −0.283916 | + | 0.327656i | ||||
\(836\) | −10599.4 | + | 73720.6i | −0.438503 | + | 3.04986i | ||||
\(837\) | −4045.47 | + | 1187.86i | −0.167063 | + | 0.0490542i | ||||
\(838\) | 14291.8 | + | 16493.6i | 0.589143 | + | 0.679908i | ||||
\(839\) | 14393.6 | − | 9250.24i | 0.592281 | − | 0.380636i | −0.209895 | − | 0.977724i | \(-0.567312\pi\) |
0.802176 | + | 0.597088i | \(0.203676\pi\) | |||||||
\(840\) | −20749.4 | + | 13334.8i | −0.852287 | + | 0.547732i | ||||
\(841\) | 4118.33 | + | 4752.80i | 0.168860 | + | 0.194875i | ||||
\(842\) | 21140.2 | − | 6207.31i | 0.865247 | − | 0.254060i | ||||
\(843\) | 1615.14 | − | 11233.5i | 0.0659885 | − | 0.458960i | ||||
\(844\) | −24517.9 | + | 28295.1i | −0.999929 | + | 1.15398i | ||||
\(845\) | −2612.60 | + | 5720.79i | −0.106362 | + | 0.232901i | ||||
\(846\) | −185.077 | − | 54.3435i | −0.00752137 | − | 0.00220847i | ||||
\(847\) | 3462.46 | + | 7581.73i | 0.140462 | + | 0.307569i | ||||
\(848\) | −18709.0 | − | 130124.i | −0.757631 | − | 5.26944i | ||||
\(849\) | −10355.2 | − | 6654.88i | −0.418598 | − | 0.269016i | ||||
\(850\) | 47879.8 | 1.93208 | ||||||||
\(851\) | −9295.22 | + | 13828.6i | −0.374425 | + | 0.557036i | ||||
\(852\) | 9408.37 | 0.378316 | ||||||||
\(853\) | −14023.9 | − | 9012.61i | −0.562918 | − | 0.361766i | 0.228025 | − | 0.973655i | \(-0.426773\pi\) |
−0.790943 | + | 0.611890i | \(0.790410\pi\) | |||||||
\(854\) | −1536.44 | − | 10686.2i | −0.0615644 | − | 0.428190i | ||||
\(855\) | −2695.01 | − | 5901.25i | −0.107798 | − | 0.236045i | ||||
\(856\) | −87231.2 | − | 25613.4i | −3.48306 | − | 1.02272i | ||||
\(857\) | −8928.84 | + | 19551.4i | −0.355897 | + | 0.779305i | 0.644001 | + | 0.765024i | \(0.277273\pi\) |
−0.999898 | + | 0.0142806i | \(0.995454\pi\) | |||||||
\(858\) | 10671.7 | − | 12315.8i | 0.424623 | − | 0.490041i | ||||
\(859\) | −169.321 | + | 1177.65i | −0.00672544 | + | 0.0467765i | −0.992908 | − | 0.118887i | \(-0.962067\pi\) |
0.986182 | + | 0.165663i | \(0.0529765\pi\) | |||||||
\(860\) | 3164.86 | − | 929.286i | 0.125489 | − | 0.0368470i | ||||
\(861\) | −5017.14 | − | 5790.09i | −0.198587 | − | 0.229182i | ||||
\(862\) | 59985.7 | − | 38550.4i | 2.37021 | − | 1.52324i | ||||
\(863\) | −4486.90 | + | 2883.55i | −0.176982 | + | 0.113740i | −0.626133 | − | 0.779717i | \(-0.715363\pi\) |
0.449150 | + | 0.893456i | \(0.351727\pi\) | |||||||
\(864\) | −16472.1 | − | 19009.9i | −0.648604 | − | 0.748529i | ||||
\(865\) | −12280.8 | + | 3605.97i | −0.482729 | + | 0.141742i | ||||
\(866\) | 10643.1 | − | 74024.6i | 0.417631 | − | 2.90469i | ||||
\(867\) | 10210.7 | − | 11783.8i | 0.399969 | − | 0.461589i | ||||
\(868\) | 23125.1 | − | 50637.0i | 0.904284 | − | 1.98011i | ||||
\(869\) | 9809.26 | + | 2880.26i | 0.382919 | + | 0.112435i | ||||
\(870\) | 5903.14 | + | 12926.1i | 0.230040 | + | 0.503718i | ||||
\(871\) | −4581.43 | − | 31864.6i | −0.178227 | − | 1.23960i | ||||
\(872\) | 128613. | + | 82654.3i | 4.99469 | + | 3.20989i | ||||
\(873\) | 6658.62 | 0.258145 | ||||||||
\(874\) | −36855.1 | − | 60032.5i | −1.42636 | − | 2.32337i | ||||
\(875\) | 20373.5 | 0.787142 | ||||||||
\(876\) | 55744.6 | + | 35824.9i | 2.15004 | + | 1.38175i | ||||
\(877\) | 4522.80 | + | 31456.8i | 0.174144 | + | 1.21120i | 0.870013 | + | 0.493028i | \(0.164110\pi\) |
−0.695869 | + | 0.718168i | \(0.744981\pi\) | |||||||
\(878\) | −22654.4 | − | 49606.3i | −0.870786 | − | 1.90676i | ||||
\(879\) | −1324.01 | − | 388.763i | −0.0508050 | − | 0.0149177i | ||||
\(880\) | −21206.9 | + | 46436.5i | −0.812367 | + | 1.77884i | ||||
\(881\) | −32479.6 | + | 37483.4i | −1.24207 | + | 1.43343i | −0.381286 | + | 0.924457i | \(0.624519\pi\) |
−0.860785 | + | 0.508969i | \(0.830027\pi\) | |||||||
\(882\) | −763.570 | + | 5310.74i | −0.0291505 | + | 0.202746i | ||||
\(883\) | −7766.76 | + | 2280.53i | −0.296005 | + | 0.0869148i | −0.426363 | − | 0.904552i | \(-0.640205\pi\) |
0.130358 | + | 0.991467i | \(0.458387\pi\) | |||||||
\(884\) | −52887.3 | − | 61035.1i | −2.01221 | − | 2.32221i | ||||
\(885\) | 6484.57 | − | 4167.38i | 0.246301 | − | 0.158288i | ||||
\(886\) | −37255.9 | + | 23942.9i | −1.41268 | + | 0.907876i | ||||
\(887\) | 8989.28 | + | 10374.2i | 0.340282 | + | 0.392707i | 0.899938 | − | 0.436019i | \(-0.143612\pi\) |
−0.559655 | + | 0.828726i | \(0.689066\pi\) | |||||||
\(888\) | 36893.8 | − | 10833.0i | 1.39423 | − | 0.409382i | ||||
\(889\) | 1125.52 | − | 7828.15i | 0.0424620 | − | 0.295329i | ||||
\(890\) | 8032.44 | − | 9269.93i | 0.302526 | − | 0.349133i | ||||
\(891\) | −945.004 | + | 2069.27i | −0.0355318 | + | 0.0778038i | ||||
\(892\) | 123315. | + | 36208.6i | 4.62881 | + | 1.35914i | ||||
\(893\) | 182.284 | + | 399.145i | 0.00683078 | + | 0.0149573i | ||||
\(894\) | 2291.93 | + | 15940.7i | 0.0857423 | + | 0.596351i | ||||
\(895\) | −9072.30 | − | 5830.41i | −0.338831 | − | 0.217753i | ||||
\(896\) | 134080. | 4.99921 | ||||||||
\(897\) | −236.144 | + | 11457.6i | −0.00878999 | + | 0.426487i | ||||
\(898\) | −65481.2 | −2.43334 | ||||||||
\(899\) | −17673.9 | − | 11358.3i | −0.655681 | − | 0.421380i | ||||
\(900\) | 2532.69 | + | 17615.2i | 0.0938033 | + | 0.652416i | ||||
\(901\) | 19043.8 | + | 41700.2i | 0.704154 | + | 1.54188i | ||||
\(902\) | −25004.9 | − | 7342.09i | −0.923027 | − | 0.271025i | ||||
\(903\) | −432.166 | + | 946.312i | −0.0159265 | + | 0.0348741i | ||||
\(904\) | −13601.2 | + | 15696.6i | −0.500408 | + | 0.577502i | ||||
\(905\) | 1447.51 | − | 10067.7i | 0.0531678 | − | 0.369790i | ||||
\(906\) | 3555.83 | − | 1044.09i | 0.130391 | − | 0.0382864i | ||||
\(907\) | −13236.3 | − | 15275.5i | −0.484568 | − | 0.559221i | 0.459838 | − | 0.888003i | \(-0.347907\pi\) |
−0.944406 | + | 0.328781i | \(0.893362\pi\) | |||||||
\(908\) | −22984.0 | + | 14770.9i | −0.840032 | + | 0.539856i | ||||
\(909\) | 11879.6 | − | 7634.53i | 0.433466 | − | 0.278571i | ||||
\(910\) | −12273.1 | − | 14163.9i | −0.447088 | − | 0.515967i | ||||
\(911\) | −27764.4 | + | 8152.37i | −1.00974 | + | 0.296487i | −0.744448 | − | 0.667680i | \(-0.767287\pi\) |
−0.265295 | + | 0.964167i | \(0.585469\pi\) | |||||||
\(912\) | −14076.9 | + | 97906.7i | −0.511109 | + | 3.55484i | ||||
\(913\) | −6076.07 | + | 7012.16i | −0.220250 | + | 0.254182i | ||||
\(914\) | −30271.8 | + | 66286.0i | −1.09552 | + | 2.39885i | ||||
\(915\) | 2282.06 | + | 670.072i | 0.0824508 | + | 0.0242097i | ||||
\(916\) | −12388.1 | − | 27126.1i | −0.446848 | − | 0.978461i | ||||
\(917\) | −2809.26 | − | 19538.8i | −0.101167 | − | 0.703631i | ||||
\(918\) | 12755.5 | + | 8197.48i | 0.458600 | + | 0.294725i | ||||
\(919\) | 40564.0 | 1.45602 | 0.728011 | − | 0.685566i | \(-0.240445\pi\) | ||||
0.728011 | + | 0.685566i | \(0.240445\pi\) | |||||||
\(920\) | −15452.3 | − | 56940.9i | −0.553746 | − | 2.04053i | ||||
\(921\) | −333.523 | −0.0119326 | ||||||||
\(922\) | −14373.9 | − | 9237.51i | −0.513425 | − | 0.329958i | ||||
\(923\) | 666.458 | + | 4635.32i | 0.0237668 | + | 0.165302i | ||||
\(924\) | −12476.9 | − | 27320.7i | −0.444222 | − | 0.972711i | ||||
\(925\) | −12357.4 | − | 3628.47i | −0.439254 | − | 0.128977i | ||||
\(926\) | −14785.5 | + | 32375.6i | −0.524709 | + | 1.14895i | ||||
\(927\) | 1150.79 | − | 1328.08i | 0.0407733 | − | 0.0470549i | ||||
\(928\) | 17837.3 | − | 124061.i | 0.630967 | − | 4.38847i | ||||
\(929\) | −38248.8 | + | 11230.9i | −1.35081 | + | 0.396634i | −0.875515 | − | 0.483192i | \(-0.839477\pi\) |
−0.475296 | + | 0.879826i | \(0.657659\pi\) | |||||||
\(930\) | 10801.2 | + | 12465.3i | 0.380845 | + | 0.439519i | ||||
\(931\) | 10267.9 | − | 6598.76i | 0.361456 | − | 0.232294i | ||||
\(932\) | 16410.5 | − | 10546.4i | 0.576764 | − | 0.370663i | ||||
\(933\) | −2468.13 | − | 2848.37i | −0.0866055 | − | 0.0999481i | ||||
\(934\) | 71934.4 | − | 21121.9i | 2.52009 | − | 0.739966i | ||||
\(935\) | 2533.47 | − | 17620.6i | 0.0886131 | − | 0.616317i | ||||
\(936\) | 17318.6 | − | 19986.8i | 0.604783 | − | 0.697957i | ||||
\(937\) | 17854.5 | − | 39095.9i | 0.622498 | − | 1.36308i | −0.291191 | − | 0.956665i | \(-0.594052\pi\) |
0.913689 | − | 0.406415i | \(-0.133221\pi\) | |||||||
\(938\) | −76566.2 | − | 22481.9i | −2.66522 | − | 0.782579i | ||||
\(939\) | 12146.9 | + | 26597.9i | 0.422149 | + | 0.924376i | ||||
\(940\) | 79.8460 | + | 555.341i | 0.00277052 | + | 0.0192694i | ||||
\(941\) | −11673.6 | − | 7502.19i | −0.404410 | − | 0.259898i | 0.322586 | − | 0.946540i | \(-0.395448\pi\) |
−0.726996 | + | 0.686642i | \(0.759084\pi\) | |||||||
\(942\) | −33395.5 | −1.15508 | ||||||||
\(943\) | 16823.9 | − | 7268.05i | 0.580976 | − | 0.250987i | ||||
\(944\) | −117525. | −4.05203 | ||||||||
\(945\) | 2200.89 | + | 1414.43i | 0.0757620 | + | 0.0486893i | ||||
\(946\) | 503.610 | + | 3502.68i | 0.0173084 | + | 0.120383i | ||||
\(947\) | −7613.34 | − | 16670.9i | −0.261246 | − | 0.572050i | 0.732870 | − | 0.680369i | \(-0.238180\pi\) |
−0.994116 | + | 0.108319i | \(0.965453\pi\) | |||||||
\(948\) | 24301.6 | + | 7135.60i | 0.832573 | + | 0.244466i | ||||
\(949\) | −13701.4 | + | 30002.0i | −0.468670 | + | 1.02624i | ||||
\(950\) | 35656.5 | − | 41149.8i | 1.21774 | − | 1.40534i | ||||
\(951\) | 439.854 | − | 3059.25i | 0.0149982 | − | 0.104314i | ||||
\(952\) | −125825. | + | 36945.6i | −4.28363 | + | 1.25779i | ||||
\(953\) | 202.143 | + | 233.285i | 0.00687098 | + | 0.00792953i | 0.759175 | − | 0.650887i | \(-0.225603\pi\) |
−0.752304 | + | 0.658816i | \(0.771057\pi\) | |||||||
\(954\) | −19278.9 | + | 12389.8i | −0.654273 | + | 0.420476i | ||||
\(955\) | −11837.0 | + | 7607.19i | −0.401086 | + | 0.257762i | ||||
\(956\) | 73736.7 | + | 85096.7i | 2.49458 | + | 2.87890i | ||||
\(957\) | −10876.0 | + | 3193.49i | −0.367369 | + | 0.107869i | ||||
\(958\) | −14056.7 | + | 97766.4i | −0.474062 | + | 3.29717i | ||||
\(959\) | 29953.4 | − | 34568.1i | 1.00860 | − | 1.16399i | ||||
\(960\) | −22754.4 | + | 49825.2i | −0.764995 | + | 1.67511i | ||||
\(961\) | 5186.74 | + | 1522.96i | 0.174104 | + | 0.0511216i | ||||
\(962\) | 12137.3 | + | 26577.0i | 0.406780 | + | 0.890724i | ||||
\(963\) | 1372.38 | + | 9545.12i | 0.0459235 | + | 0.319405i | ||||
\(964\) | 43440.5 | + | 27917.5i | 1.45137 | + | 0.932742i | ||||
\(965\) | 18938.8 | 0.631775 | ||||||||
\(966\) | 25591.6 | + | 12330.8i | 0.852377 | + | 0.410701i | ||||
\(967\) | 21686.8 | 0.721200 | 0.360600 | − | 0.932721i | \(-0.382572\pi\) | ||||
0.360600 | + | 0.932721i | \(0.382572\pi\) | |||||||
\(968\) | 38706.5 | + | 24875.1i | 1.28520 | + | 0.825947i | ||||
\(969\) | −4908.81 | − | 34141.6i | −0.162739 | − | 1.13187i | ||||
\(970\) | −10820.9 | − | 23694.4i | −0.358183 | − | 0.784311i | ||||
\(971\) | 28848.1 | + | 8470.57i | 0.953429 | + | 0.279952i | 0.721214 | − | 0.692712i | \(-0.243584\pi\) |
0.232215 | + | 0.972664i | \(0.425403\pi\) | |||||||
\(972\) | −2341.17 | + | 5126.44i | −0.0772562 | + | 0.169167i | ||||
\(973\) | −2568.14 | + | 2963.79i | −0.0846154 | + | 0.0976514i | ||||
\(974\) | −16144.1 | + | 112285.i | −0.531098 | + | 3.69387i | ||||
\(975\) | −8499.27 | + | 2495.61i | −0.279174 | + | 0.0819728i | ||||
\(976\) | −23747.1 | − | 27405.6i | −0.778818 | − | 0.898804i | ||||
\(977\) | −39719.7 | + | 25526.3i | −1.30066 | + | 0.835885i | −0.993284 | − | 0.115703i | \(-0.963088\pi\) |
−0.307378 | + | 0.951588i | \(0.599452\pi\) | |||||||
\(978\) | 16398.3 | − | 10538.5i | 0.536154 | − | 0.344565i | ||||
\(979\) | 6407.31 | + | 7394.43i | 0.209171 | + | 0.241396i | ||||
\(980\) | 14973.8 | − | 4396.71i | 0.488083 | − | 0.143314i | ||||
\(981\) | 2307.82 | − | 16051.2i | 0.0751100 | − | 0.522401i | ||||
\(982\) | −11699.5 | + | 13502.0i | −0.380191 | + | 0.438764i | ||||
\(983\) | −133.066 | + | 291.374i | −0.00431755 | + | 0.00945411i | −0.911778 | − | 0.410682i | \(-0.865291\pi\) |
0.907461 | + | 0.420136i | \(0.138018\pi\) | |||||||
\(984\) | −40579.2 | − | 11915.1i | −1.31465 | − | 0.386017i | ||||
\(985\) | 5277.29 | + | 11555.7i | 0.170709 | + | 0.373801i | ||||
\(986\) | 10752.2 | + | 74783.5i | 0.347283 | + | 2.41541i | ||||
\(987\) | −148.863 | − | 95.6683i | −0.00480077 | − | 0.00308526i | ||||
\(988\) | −91841.6 | −2.95736 | ||||||||
\(989\) | −1846.74 | − | 1668.06i | −0.0593759 | − | 0.0536311i | ||||
\(990\) | 8899.13 | 0.285690 | ||||||||
\(991\) | −42729.0 | − | 27460.3i | −1.36966 | − | 0.880227i | −0.370835 | − | 0.928699i | \(-0.620928\pi\) |
−0.998825 | + | 0.0484720i | \(0.984565\pi\) | |||||||
\(992\) | −20703.9 | − | 143999.i | −0.662650 | − | 4.60883i | ||||
\(993\) | 10123.9 | + | 22168.3i | 0.323538 | + | 0.708449i | ||||
\(994\) | 11138.0 | + | 3270.42i | 0.355409 | + | 0.104358i | ||||
\(995\) | 376.990 | − | 825.492i | 0.0120114 | − | 0.0263014i | ||||
\(996\) | −15053.0 | + | 17372.0i | −0.478887 | + | 0.552665i | ||||
\(997\) | −1739.84 | + | 12100.8i | −0.0552671 | + | 0.384391i | 0.943349 | + | 0.331802i | \(0.107656\pi\) |
−0.998616 | + | 0.0525892i | \(0.983253\pi\) | |||||||
\(998\) | 49689.3 | − | 14590.1i | 1.57604 | − | 0.462767i | ||||
\(999\) | −2670.88 | − | 3082.36i | −0.0845876 | − | 0.0976193i |
(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 | 69.4.e.b.25.1 | ✓ | 60 | |
3.2 | odd | 2 | 207.4.i.b.163.6 | 60 | |||
23.9 | even | 11 | 1587.4.a.w.1.1 | 30 | |||
23.12 | even | 11 | inner | 69.4.e.b.58.1 | yes | 60 | |
23.14 | odd | 22 | 1587.4.a.v.1.1 | 30 | |||
69.35 | odd | 22 | 207.4.i.b.127.6 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.e.b.25.1 | ✓ | 60 | 1.1 | even | 1 | trivial | |
69.4.e.b.58.1 | yes | 60 | 23.12 | even | 11 | inner | |
207.4.i.b.127.6 | 60 | 69.35 | odd | 22 | |||
207.4.i.b.163.6 | 60 | 3.2 | odd | 2 | |||
1587.4.a.v.1.1 | 30 | 23.14 | odd | 22 | |||
1587.4.a.w.1.1 | 30 | 23.9 | even | 11 |