Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,3,Mod(7,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.j (of order \(18\), 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: | \(2.94278685509\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Character | \(\chi\) | \(=\) | 108.7 |
Dual form | 108.3.j.a.31.2 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.95123 | − | 0.438997i | −0.975613 | − | 0.219498i | ||||
\(3\) | −1.49386 | − | 2.60161i | −0.497955 | − | 0.867203i | ||||
\(4\) | 3.61456 | + | 1.71316i | 0.903641 | + | 0.428291i | ||||
\(5\) | 0.0372686 | + | 0.211361i | 0.00745372 | + | 0.0422722i | 0.988308 | − | 0.152472i | \(-0.0487234\pi\) |
−0.980854 | + | 0.194744i | \(0.937612\pi\) | |||||||
\(6\) | 1.77277 | + | 5.73213i | 0.295461 | + | 0.955355i | ||||
\(7\) | 7.43930 | − | 8.86581i | 1.06276 | − | 1.26654i | 0.100345 | − | 0.994953i | \(-0.468005\pi\) |
0.962412 | − | 0.271592i | \(-0.0875502\pi\) | |||||||
\(8\) | −6.30076 | − | 4.92955i | −0.787595 | − | 0.616194i | ||||
\(9\) | −4.53674 | + | 7.77290i | −0.504082 | + | 0.863656i | ||||
\(10\) | 0.0200672 | − | 0.428773i | 0.00200672 | − | 0.0428773i | ||||
\(11\) | −9.50415 | − | 1.67584i | −0.864014 | − | 0.152349i | −0.275958 | − | 0.961170i | \(-0.588995\pi\) |
−0.588055 | + | 0.808821i | \(0.700106\pi\) | |||||||
\(12\) | −0.942686 | − | 11.9629i | −0.0785572 | − | 0.996910i | ||||
\(13\) | −18.7145 | − | 6.81150i | −1.43957 | − | 0.523962i | −0.499915 | − | 0.866075i | \(-0.666635\pi\) |
−0.939659 | + | 0.342113i | \(0.888858\pi\) | |||||||
\(14\) | −18.4078 | + | 14.0334i | −1.31484 | + | 1.00238i | ||||
\(15\) | 0.494204 | − | 0.412703i | 0.0329469 | − | 0.0275135i | ||||
\(16\) | 10.1301 | + | 12.3847i | 0.633134 | + | 0.774042i | ||||
\(17\) | −0.856471 | − | 1.48345i | −0.0503806 | − | 0.0872618i | 0.839735 | − | 0.542996i | \(-0.182710\pi\) |
−0.890116 | + | 0.455734i | \(0.849377\pi\) | |||||||
\(18\) | 12.2645 | − | 13.1751i | 0.681360 | − | 0.731948i | ||||
\(19\) | −5.28896 | − | 3.05358i | −0.278366 | − | 0.160715i | 0.354317 | − | 0.935125i | \(-0.384713\pi\) |
−0.632683 | + | 0.774410i | \(0.718047\pi\) | |||||||
\(20\) | −0.227386 | + | 0.827824i | −0.0113693 | + | 0.0413912i | ||||
\(21\) | −34.1787 | − | 6.10984i | −1.62756 | − | 0.290945i | ||||
\(22\) | 17.8091 | + | 7.44223i | 0.809503 | + | 0.338283i | ||||
\(23\) | −20.2195 | − | 24.0967i | −0.879108 | − | 1.04768i | −0.998496 | − | 0.0548328i | \(-0.982537\pi\) |
0.119387 | − | 0.992848i | \(-0.461907\pi\) | |||||||
\(24\) | −3.41229 | + | 23.7562i | −0.142179 | + | 0.989841i | ||||
\(25\) | 23.4490 | − | 8.53475i | 0.937961 | − | 0.341390i | ||||
\(26\) | 33.5259 | + | 21.5064i | 1.28946 | + | 0.827168i | ||||
\(27\) | 26.9993 | + | 0.191178i | 0.999975 | + | 0.00708065i | ||||
\(28\) | 42.0784 | − | 19.3013i | 1.50280 | − | 0.689333i | ||||
\(29\) | 8.13847 | − | 2.96216i | 0.280637 | − | 0.102144i | −0.197867 | − | 0.980229i | \(-0.563401\pi\) |
0.478504 | + | 0.878085i | \(0.341179\pi\) | |||||||
\(30\) | −1.14548 | + | 0.588322i | −0.0381826 | + | 0.0196107i | ||||
\(31\) | −0.101324 | − | 0.120753i | −0.00326852 | − | 0.00389527i | 0.764408 | − | 0.644733i | \(-0.223032\pi\) |
−0.767676 | + | 0.640838i | \(0.778587\pi\) | |||||||
\(32\) | −14.3294 | − | 28.6124i | −0.447793 | − | 0.894137i | ||||
\(33\) | 9.83803 | + | 27.2296i | 0.298122 | + | 0.825138i | ||||
\(34\) | 1.01994 | + | 3.27054i | 0.0299982 | + | 0.0961922i | ||||
\(35\) | 2.15114 | + | 1.24196i | 0.0614611 | + | 0.0354846i | ||||
\(36\) | −29.7146 | + | 20.3235i | −0.825405 | + | 0.564541i | ||||
\(37\) | 24.1007 | + | 41.7436i | 0.651369 | + | 1.12820i | 0.982791 | + | 0.184722i | \(0.0591383\pi\) |
−0.331422 | + | 0.943483i | \(0.607528\pi\) | |||||||
\(38\) | 8.97943 | + | 8.28006i | 0.236301 | + | 0.217896i | ||||
\(39\) | 10.2360 | + | 58.8632i | 0.262461 | + | 1.50931i | ||||
\(40\) | 0.807093 | − | 1.51545i | 0.0201773 | − | 0.0378863i | ||||
\(41\) | 19.2926 | + | 7.02193i | 0.470551 | + | 0.171267i | 0.566402 | − | 0.824129i | \(-0.308335\pi\) |
−0.0958510 | + | 0.995396i | \(0.530557\pi\) | |||||||
\(42\) | 64.0081 | + | 26.9260i | 1.52400 | + | 0.641095i | ||||
\(43\) | −45.0838 | − | 7.94949i | −1.04846 | − | 0.184872i | −0.377229 | − | 0.926120i | \(-0.623123\pi\) |
−0.671231 | + | 0.741248i | \(0.734234\pi\) | |||||||
\(44\) | −31.4824 | − | 22.3396i | −0.715509 | − | 0.507718i | ||||
\(45\) | −1.81196 | − | 0.669204i | −0.0402659 | − | 0.0148712i | ||||
\(46\) | 28.8744 | + | 55.8943i | 0.627705 | + | 1.21509i | ||||
\(47\) | 23.9050 | − | 28.4889i | 0.508618 | − | 0.606147i | −0.449233 | − | 0.893415i | \(-0.648303\pi\) |
0.957850 | + | 0.287268i | \(0.0927470\pi\) | |||||||
\(48\) | 17.0870 | − | 44.8557i | 0.355980 | − | 0.934494i | ||||
\(49\) | −14.7507 | − | 83.6553i | −0.301035 | − | 1.70725i | ||||
\(50\) | −49.5011 | + | 6.35918i | −0.990022 | + | 0.127184i | ||||
\(51\) | −2.57991 | + | 4.44428i | −0.0505865 | + | 0.0871427i | ||||
\(52\) | −55.9754 | − | 56.6815i | −1.07645 | − | 1.09003i | ||||
\(53\) | 98.4809 | 1.85813 | 0.929065 | − | 0.369917i | \(-0.120614\pi\) | ||||
0.929065 | + | 0.369917i | \(0.120614\pi\) | |||||||
\(54\) | −52.5978 | − | 12.2256i | −0.974034 | − | 0.226401i | ||||
\(55\) | − | 2.07126i | − | 0.0376593i | ||||||
\(56\) | −90.5777 | + | 19.1890i | −1.61746 | + | 0.342660i | ||||
\(57\) | −0.0432430 | + | 18.3214i | −0.000758649 | + | 0.321429i | ||||
\(58\) | −17.1804 | + | 2.20708i | −0.296213 | + | 0.0380532i | ||||
\(59\) | −12.4095 | + | 2.18814i | −0.210331 | + | 0.0370871i | −0.277821 | − | 0.960633i | \(-0.589612\pi\) |
0.0674896 | + | 0.997720i | \(0.478501\pi\) | |||||||
\(60\) | 2.49336 | − | 0.645088i | 0.0415560 | − | 0.0107515i | ||||
\(61\) | −62.8227 | − | 52.7145i | −1.02988 | − | 0.864172i | −0.0390434 | − | 0.999238i | \(-0.512431\pi\) |
−0.990837 | + | 0.135065i | \(0.956876\pi\) | |||||||
\(62\) | 0.144696 | + | 0.280098i | 0.00233381 | + | 0.00451771i | ||||
\(63\) | 35.1629 | + | 98.0469i | 0.558141 | + | 1.55630i | ||||
\(64\) | 15.3991 | + | 62.1198i | 0.240611 | + | 0.970622i | ||||
\(65\) | 0.742223 | − | 4.20936i | 0.0114188 | − | 0.0647593i | ||||
\(66\) | −7.24254 | − | 57.4499i | −0.109735 | − | 0.870453i | ||||
\(67\) | 18.1950 | − | 49.9905i | 0.271568 | − | 0.746126i | −0.726681 | − | 0.686975i | \(-0.758938\pi\) |
0.998249 | − | 0.0591515i | \(-0.0188395\pi\) | |||||||
\(68\) | −0.554376 | − | 6.82930i | −0.00815259 | − | 0.100431i | ||||
\(69\) | −32.4849 | + | 88.6003i | −0.470796 | + | 1.28406i | ||||
\(70\) | −3.65214 | − | 3.36769i | −0.0521734 | − | 0.0481098i | ||||
\(71\) | 65.5561 | − | 37.8488i | 0.923325 | − | 0.533082i | 0.0386308 | − | 0.999254i | \(-0.487700\pi\) |
0.884694 | + | 0.466172i | \(0.154367\pi\) | |||||||
\(72\) | 66.9018 | − | 26.6111i | 0.929192 | − | 0.369598i | ||||
\(73\) | 13.3902 | − | 23.1924i | 0.183427 | − | 0.317705i | −0.759618 | − | 0.650369i | \(-0.774614\pi\) |
0.943045 | + | 0.332664i | \(0.107948\pi\) | |||||||
\(74\) | −28.7005 | − | 92.0312i | −0.387845 | − | 1.24367i | ||||
\(75\) | −57.2337 | − | 48.2555i | −0.763117 | − | 0.643406i | ||||
\(76\) | −13.8860 | − | 20.0982i | −0.182710 | − | 0.264450i | ||||
\(77\) | −85.5619 | + | 71.7950i | −1.11119 | + | 0.932402i | ||||
\(78\) | 5.86803 | − | 119.349i | 0.0752312 | − | 1.53011i | ||||
\(79\) | 39.9006 | + | 109.626i | 0.505071 | + | 1.38767i | 0.886266 | + | 0.463177i | \(0.153291\pi\) |
−0.381194 | + | 0.924495i | \(0.624487\pi\) | |||||||
\(80\) | −2.24010 | + | 2.60268i | −0.0280012 | + | 0.0325334i | ||||
\(81\) | −39.8359 | − | 70.5273i | −0.491802 | − | 0.870707i | ||||
\(82\) | −34.5616 | − | 22.1707i | −0.421483 | − | 0.270375i | ||||
\(83\) | 38.5038 | + | 105.788i | 0.463901 | + | 1.27456i | 0.922529 | + | 0.385928i | \(0.126119\pi\) |
−0.458628 | + | 0.888628i | \(0.651659\pi\) | |||||||
\(84\) | −113.074 | − | 80.6381i | −1.34612 | − | 0.959977i | ||||
\(85\) | 0.281624 | − | 0.236311i | 0.00331322 | − | 0.00278012i | ||||
\(86\) | 84.4788 | + | 35.3029i | 0.982312 | + | 0.410498i | ||||
\(87\) | −19.8642 | − | 16.7481i | −0.228324 | − | 0.192506i | ||||
\(88\) | 51.6222 | + | 57.4102i | 0.586616 | + | 0.652389i | ||||
\(89\) | 59.4575 | − | 102.983i | 0.668061 | − | 1.15712i | −0.310384 | − | 0.950611i | \(-0.600458\pi\) |
0.978446 | − | 0.206505i | \(-0.0662089\pi\) | |||||||
\(90\) | 3.24177 | + | 2.10121i | 0.0360197 | + | 0.0233468i | ||||
\(91\) | −199.612 | + | 115.246i | −2.19354 | + | 1.26644i | ||||
\(92\) | −31.8032 | − | 121.738i | −0.345687 | − | 1.32324i | ||||
\(93\) | −0.162789 | + | 0.443995i | −0.00175042 | + | 0.00477414i | ||||
\(94\) | −59.1506 | + | 45.0941i | −0.629262 | + | 0.479724i | ||||
\(95\) | 0.448295 | − | 1.23168i | 0.00471889 | − | 0.0129651i | ||||
\(96\) | −53.0321 | + | 80.0225i | −0.552418 | + | 0.833567i | ||||
\(97\) | −4.27138 | + | 24.2242i | −0.0440349 | + | 0.249734i | −0.998877 | − | 0.0473796i | \(-0.984913\pi\) |
0.954842 | + | 0.297114i | \(0.0960241\pi\) | |||||||
\(98\) | −7.94247 | + | 169.706i | −0.0810456 | + | 1.73169i | ||||
\(99\) | 56.1440 | − | 66.2720i | 0.567111 | − | 0.669414i | ||||
\(100\) | 99.3794 | + | 9.32261i | 0.993794 | + | 0.0932261i | ||||
\(101\) | 36.2218 | + | 30.3937i | 0.358632 | + | 0.300928i | 0.804245 | − | 0.594298i | \(-0.202570\pi\) |
−0.445613 | + | 0.895226i | \(0.647014\pi\) | |||||||
\(102\) | 6.98501 | − | 7.53922i | 0.0684805 | − | 0.0739139i | ||||
\(103\) | 52.3436 | − | 9.22958i | 0.508190 | − | 0.0896076i | 0.0863264 | − | 0.996267i | \(-0.472487\pi\) |
0.421864 | + | 0.906659i | \(0.361376\pi\) | |||||||
\(104\) | 84.3376 | + | 135.171i | 0.810939 | + | 1.29973i | ||||
\(105\) | 0.0175879 | − | 7.45174i | 0.000167504 | − | 0.0709689i | ||||
\(106\) | −192.158 | − | 43.2328i | −1.81282 | − | 0.407856i | ||||
\(107\) | − | 31.1755i | − | 0.291360i | −0.989332 | − | 0.145680i | \(-0.953463\pi\) | ||
0.989332 | − | 0.145680i | \(-0.0465369\pi\) | |||||||
\(108\) | 97.2633 | + | 46.9453i | 0.900586 | + | 0.434678i | ||||
\(109\) | 62.5881 | 0.574203 | 0.287101 | − | 0.957900i | \(-0.407308\pi\) | ||||
0.287101 | + | 0.957900i | \(0.407308\pi\) | |||||||
\(110\) | −0.909277 | + | 4.04150i | −0.00826615 | + | 0.0367409i | ||||
\(111\) | 72.5973 | − | 125.060i | 0.654030 | − | 1.12666i | ||||
\(112\) | 185.161 | + | 2.32132i | 1.65323 | + | 0.0207260i | ||||
\(113\) | 22.6665 | + | 128.548i | 0.200589 | + | 1.13760i | 0.904232 | + | 0.427042i | \(0.140444\pi\) |
−0.703643 | + | 0.710554i | \(0.748445\pi\) | |||||||
\(114\) | 8.12742 | − | 35.7303i | 0.0712932 | − | 0.313423i | ||||
\(115\) | 4.33953 | − | 5.17166i | 0.0377351 | − | 0.0449709i | ||||
\(116\) | 34.4917 | + | 3.23560i | 0.297342 | + | 0.0278931i | ||||
\(117\) | 137.848 | − | 114.564i | 1.17819 | − | 0.979176i | ||||
\(118\) | 25.1744 | + | 1.17820i | 0.213342 | + | 0.00998471i | ||||
\(119\) | −19.5236 | − | 3.44253i | −0.164063 | − | 0.0289288i | ||||
\(120\) | −5.14830 | + | 0.164137i | −0.0429025 | + | 0.00136781i | ||||
\(121\) | −26.1823 | − | 9.52958i | −0.216383 | − | 0.0787569i | ||||
\(122\) | 99.4398 | + | 130.437i | 0.815080 | + | 1.06915i | ||||
\(123\) | −10.5522 | − | 60.6816i | −0.0857901 | − | 0.493346i | ||||
\(124\) | −0.159372 | − | 0.610056i | −0.00128526 | − | 0.00491980i | ||||
\(125\) | 5.36059 | + | 9.28482i | 0.0428847 | + | 0.0742785i | ||||
\(126\) | −25.5685 | − | 206.748i | −0.202925 | − | 1.64086i | ||||
\(127\) | 26.2396 | + | 15.1494i | 0.206611 | + | 0.119287i | 0.599735 | − | 0.800198i | \(-0.295273\pi\) |
−0.393124 | + | 0.919485i | \(0.628606\pi\) | |||||||
\(128\) | −2.77676 | − | 127.970i | −0.0216934 | − | 0.999765i | ||||
\(129\) | 46.6676 | + | 129.166i | 0.361764 | + | 1.00129i | ||||
\(130\) | −3.29614 | + | 7.88757i | −0.0253549 | + | 0.0606736i | ||||
\(131\) | −118.464 | − | 141.179i | −0.904302 | − | 1.07770i | −0.996634 | − | 0.0819767i | \(-0.973877\pi\) |
0.0923324 | − | 0.995728i | \(-0.470568\pi\) | |||||||
\(132\) | −11.0885 | + | 115.277i | −0.0840037 | + | 0.873312i | ||||
\(133\) | −66.4186 | + | 24.1744i | −0.499388 | + | 0.181762i | ||||
\(134\) | −57.4483 | + | 89.5551i | −0.428718 | + | 0.668322i | ||||
\(135\) | 0.965820 | + | 5.71372i | 0.00715422 | + | 0.0423239i | ||||
\(136\) | −1.91633 | + | 13.5689i | −0.0140907 | + | 0.0997712i | ||||
\(137\) | −23.6048 | + | 8.59145i | −0.172298 | + | 0.0627113i | −0.426729 | − | 0.904380i | \(-0.640334\pi\) |
0.254431 | + | 0.967091i | \(0.418112\pi\) | |||||||
\(138\) | 102.281 | − | 158.618i | 0.741164 | − | 1.14941i | ||||
\(139\) | 5.61100 | + | 6.68693i | 0.0403669 | + | 0.0481074i | 0.785850 | − | 0.618417i | \(-0.212226\pi\) |
−0.745483 | + | 0.666524i | \(0.767781\pi\) | |||||||
\(140\) | 5.64775 | + | 8.17439i | 0.0403410 | + | 0.0583885i | ||||
\(141\) | −109.828 | − | 19.6330i | −0.778921 | − | 0.139241i | ||||
\(142\) | −144.530 | + | 45.0727i | −1.01782 | + | 0.317413i | ||||
\(143\) | 166.450 | + | 96.1000i | 1.16399 | + | 0.672028i | ||||
\(144\) | −142.223 | + | 22.5545i | −0.987658 | + | 0.156629i | ||||
\(145\) | 0.929394 | + | 1.60976i | 0.00640962 | + | 0.0111018i | ||||
\(146\) | −36.3086 | + | 39.3755i | −0.248689 | + | 0.269695i | ||||
\(147\) | −195.603 | + | 163.345i | −1.33063 | + | 1.11119i | ||||
\(148\) | 15.5999 | + | 192.173i | 0.105404 | + | 1.29847i | ||||
\(149\) | −9.12132 | − | 3.31989i | −0.0612169 | − | 0.0222811i | 0.311230 | − | 0.950335i | \(-0.399259\pi\) |
−0.372447 | + | 0.928053i | \(0.621481\pi\) | |||||||
\(150\) | 90.4920 | + | 119.283i | 0.603280 | + | 0.795218i | ||||
\(151\) | 92.5096 | + | 16.3119i | 0.612646 | + | 0.108026i | 0.471357 | − | 0.881942i | \(-0.343764\pi\) |
0.141289 | + | 0.989968i | \(0.454875\pi\) | |||||||
\(152\) | 18.2717 | + | 45.3120i | 0.120208 | + | 0.298105i | ||||
\(153\) | 15.4163 | + | 0.0727728i | 0.100760 | + | 0.000475639i | ||||
\(154\) | 198.468 | − | 102.527i | 1.28876 | − | 0.665759i | ||||
\(155\) | 0.0217463 | − | 0.0259163i | 0.000140299 | − | 0.000167202i | ||||
\(156\) | −63.8436 | + | 230.301i | −0.409254 | + | 1.47629i | ||||
\(157\) | −23.4101 | − | 132.765i | −0.149109 | − | 0.845639i | −0.963976 | − | 0.265991i | \(-0.914301\pi\) |
0.814867 | − | 0.579649i | \(-0.196810\pi\) | |||||||
\(158\) | −29.7297 | − | 231.422i | −0.188163 | − | 1.46469i | ||||
\(159\) | −147.117 | − | 256.209i | −0.925264 | − | 1.61138i | ||||
\(160\) | 5.51350 | − | 4.09501i | 0.0344594 | − | 0.0255938i | ||||
\(161\) | −364.055 | −2.26121 | ||||||||
\(162\) | 46.7677 | + | 155.102i | 0.288689 | + | 0.957423i | ||||
\(163\) | − | 202.543i | − | 1.24260i | −0.783575 | − | 0.621298i | \(-0.786606\pi\) | ||
0.783575 | − | 0.621298i | \(-0.213394\pi\) | |||||||
\(164\) | 57.7046 | + | 58.4326i | 0.351857 | + | 0.356296i | ||||
\(165\) | −5.38861 | + | 3.09418i | −0.0326583 | + | 0.0187526i | ||||
\(166\) | −28.6889 | − | 223.320i | −0.172824 | − | 1.34530i | ||||
\(167\) | −147.033 | + | 25.9260i | −0.880440 | + | 0.155245i | −0.595553 | − | 0.803316i | \(-0.703067\pi\) |
−0.284887 | + | 0.958561i | \(0.591956\pi\) | |||||||
\(168\) | 185.233 | + | 206.982i | 1.10258 | + | 1.23204i | ||||
\(169\) | 174.373 | + | 146.316i | 1.03179 | + | 0.865776i | ||||
\(170\) | −0.653251 | + | 0.337463i | −0.00384266 | + | 0.00198508i | ||||
\(171\) | 47.7298 | − | 27.2572i | 0.279122 | − | 0.159399i | ||||
\(172\) | −149.339 | − | 105.970i | −0.868252 | − | 0.616103i | ||||
\(173\) | 54.2893 | − | 307.890i | 0.313811 | − | 1.77971i | −0.264998 | − | 0.964249i | \(-0.585371\pi\) |
0.578809 | − | 0.815463i | \(-0.303518\pi\) | |||||||
\(174\) | 31.4071 | + | 41.3995i | 0.180501 | + | 0.237928i | ||||
\(175\) | 98.7769 | − | 271.387i | 0.564439 | − | 1.55078i | ||||
\(176\) | −75.5238 | − | 134.682i | −0.429112 | − | 0.765240i | ||||
\(177\) | 24.2308 | + | 29.0160i | 0.136897 | + | 0.163932i | ||||
\(178\) | −161.224 | + | 174.842i | −0.905754 | + | 0.982259i | ||||
\(179\) | 23.2554 | − | 13.4265i | 0.129919 | − | 0.0750086i | −0.433632 | − | 0.901090i | \(-0.642768\pi\) |
0.563551 | + | 0.826081i | \(0.309435\pi\) | |||||||
\(180\) | −5.40300 | − | 5.52307i | −0.0300167 | − | 0.0306837i | ||||
\(181\) | −144.044 | + | 249.492i | −0.795823 | + | 1.37841i | 0.126492 | + | 0.991968i | \(0.459628\pi\) |
−0.922315 | + | 0.386439i | \(0.873705\pi\) | |||||||
\(182\) | 440.081 | − | 137.242i | 2.41803 | − | 0.754077i | ||||
\(183\) | −43.2940 | + | 242.188i | −0.236579 | + | 1.32343i | ||||
\(184\) | 8.61251 | + | 251.500i | 0.0468071 | + | 1.36685i | ||||
\(185\) | −7.92475 | + | 6.64966i | −0.0428365 | + | 0.0359441i | ||||
\(186\) | 0.512550 | − | 0.794871i | 0.00275564 | − | 0.00427350i | ||||
\(187\) | 5.65401 | + | 15.5343i | 0.0302353 | + | 0.0830709i | ||||
\(188\) | 135.212 | − | 62.0218i | 0.719215 | − | 0.329903i | ||||
\(189\) | 202.551 | − | 237.949i | 1.07170 | − | 1.25899i | ||||
\(190\) | −1.41543 | + | 2.20649i | −0.00744962 | + | 0.0116131i | ||||
\(191\) | 77.1124 | + | 211.865i | 0.403730 | + | 1.10924i | 0.960429 | + | 0.278525i | \(0.0898454\pi\) |
−0.556699 | + | 0.830714i | \(0.687932\pi\) | |||||||
\(192\) | 138.607 | − | 132.861i | 0.721913 | − | 0.691984i | ||||
\(193\) | −157.892 | + | 132.487i | −0.818095 | + | 0.686463i | −0.952525 | − | 0.304460i | \(-0.901524\pi\) |
0.134430 | + | 0.990923i | \(0.457080\pi\) | |||||||
\(194\) | 18.9688 | − | 45.3918i | 0.0977772 | − | 0.233978i | ||||
\(195\) | −12.0599 | + | 4.35723i | −0.0618456 | + | 0.0223448i | ||||
\(196\) | 89.9979 | − | 327.648i | 0.459173 | − | 1.67167i | ||||
\(197\) | −63.0398 | + | 109.188i | −0.319999 | + | 0.554255i | −0.980487 | − | 0.196581i | \(-0.937016\pi\) |
0.660488 | + | 0.750836i | \(0.270349\pi\) | |||||||
\(198\) | −138.643 | + | 104.665i | −0.700216 | + | 0.528609i | ||||
\(199\) | −64.5454 | + | 37.2653i | −0.324348 | + | 0.187263i | −0.653329 | − | 0.757074i | \(-0.726628\pi\) |
0.328981 | + | 0.944337i | \(0.393295\pi\) | |||||||
\(200\) | −189.819 | − | 61.8177i | −0.949096 | − | 0.309089i | ||||
\(201\) | −157.237 | + | 27.3426i | −0.782272 | + | 0.136033i | ||||
\(202\) | −57.3343 | − | 75.2063i | −0.283833 | − | 0.372308i | ||||
\(203\) | 34.2826 | − | 94.1906i | 0.168880 | − | 0.463993i | ||||
\(204\) | −16.9390 | + | 11.6443i | −0.0830344 | + | 0.0570800i | ||||
\(205\) | −0.765152 | + | 4.33939i | −0.00373245 | + | 0.0211678i | ||||
\(206\) | −106.186 | − | 4.96965i | −0.515465 | − | 0.0241245i | ||||
\(207\) | 279.031 | − | 47.8438i | 1.34798 | − | 0.231129i | ||||
\(208\) | −105.222 | − | 300.774i | −0.505875 | − | 1.44603i | ||||
\(209\) | 45.1497 | + | 37.8851i | 0.216027 | + | 0.181269i | ||||
\(210\) | −3.30561 | + | 14.5323i | −0.0157410 | + | 0.0692014i | ||||
\(211\) | −26.9666 | + | 4.75493i | −0.127804 | + | 0.0225352i | −0.237184 | − | 0.971465i | \(-0.576224\pi\) |
0.109380 | + | 0.994000i | \(0.465113\pi\) | |||||||
\(212\) | 355.965 | + | 168.714i | 1.67908 | + | 0.795820i | ||||
\(213\) | −196.400 | − | 114.010i | −0.922064 | − | 0.535260i | ||||
\(214\) | −13.6859 | + | 60.8304i | −0.0639529 | + | 0.284254i | ||||
\(215\) | − | 9.82521i | − | 0.0456986i | ||||||
\(216\) | −169.174 | − | 134.299i | −0.783212 | − | 0.621755i | ||||
\(217\) | −1.82436 | −0.00840718 | ||||||||
\(218\) | −122.123 | − | 27.4760i | −0.560200 | − | 0.126036i | ||||
\(219\) | −80.3408 | − | 0.189624i | −0.366853 | − | 0.000865861i | ||||
\(220\) | 3.54841 | − | 7.48671i | 0.0161291 | − | 0.0340305i | ||||
\(221\) | 5.92385 | + | 33.5958i | 0.0268048 | + | 0.152017i | ||||
\(222\) | −196.555 | + | 212.150i | −0.885381 | + | 0.955629i | ||||
\(223\) | −25.4525 | + | 30.3332i | −0.114137 | + | 0.136023i | −0.820088 | − | 0.572238i | \(-0.806075\pi\) |
0.705951 | + | 0.708261i | \(0.250520\pi\) | |||||||
\(224\) | −360.273 | − | 85.8146i | −1.60836 | − | 0.383101i | ||||
\(225\) | −40.0425 | + | 220.987i | −0.177966 | + | 0.982164i | ||||
\(226\) | 12.2047 | − | 260.777i | 0.0540033 | − | 1.15388i | ||||
\(227\) | −367.121 | − | 64.7334i | −1.61727 | − | 0.285169i | −0.709524 | − | 0.704681i | \(-0.751090\pi\) |
−0.907750 | + | 0.419512i | \(0.862201\pi\) | |||||||
\(228\) | −31.5439 | + | 66.1499i | −0.138350 | + | 0.290131i | ||||
\(229\) | 270.130 | + | 98.3193i | 1.17961 | + | 0.429342i | 0.856063 | − | 0.516871i | \(-0.172903\pi\) |
0.323544 | + | 0.946213i | \(0.395126\pi\) | |||||||
\(230\) | −10.7378 | + | 8.18603i | −0.0466859 | + | 0.0355914i | ||||
\(231\) | 314.600 | + | 115.347i | 1.36191 | + | 0.499337i | ||||
\(232\) | −65.8807 | − | 21.4551i | −0.283968 | − | 0.0924790i | ||||
\(233\) | −183.876 | − | 318.482i | −0.789166 | − | 1.36688i | −0.926478 | − | 0.376348i | \(-0.877180\pi\) |
0.137312 | − | 0.990528i | \(-0.456154\pi\) | |||||||
\(234\) | −319.265 | + | 163.025i | −1.36438 | + | 0.696686i | ||||
\(235\) | 6.91234 | + | 3.99084i | 0.0294142 | + | 0.0169823i | ||||
\(236\) | −48.6037 | − | 13.3504i | −0.205948 | − | 0.0565695i | ||||
\(237\) | 225.598 | − | 267.572i | 0.951891 | − | 1.12900i | ||||
\(238\) | 36.5836 | + | 15.2879i | 0.153713 | + | 0.0642350i | ||||
\(239\) | 114.381 | + | 136.314i | 0.478581 | + | 0.570350i | 0.950275 | − | 0.311412i | \(-0.100802\pi\) |
−0.471694 | + | 0.881762i | \(0.656357\pi\) | |||||||
\(240\) | 10.1175 | + | 1.93982i | 0.0421564 | + | 0.00808257i | ||||
\(241\) | 327.606 | − | 119.239i | 1.35936 | − | 0.494766i | 0.443503 | − | 0.896273i | \(-0.353736\pi\) |
0.915856 | + | 0.401507i | \(0.131513\pi\) | |||||||
\(242\) | 46.9041 | + | 30.0883i | 0.193819 | + | 0.124332i | ||||
\(243\) | −123.975 | + | 208.996i | −0.510185 | + | 0.860065i | ||||
\(244\) | −136.768 | − | 298.165i | −0.560525 | − | 1.22199i | ||||
\(245\) | 17.1317 | − | 6.23544i | 0.0699254 | − | 0.0254508i | ||||
\(246\) | −6.04931 | + | 123.036i | −0.0245907 | + | 0.500146i | ||||
\(247\) | 78.1804 | + | 93.1718i | 0.316520 | + | 0.377214i | ||||
\(248\) | 0.0431591 | + | 1.26032i | 0.000174029 | + | 0.00508194i | ||||
\(249\) | 217.700 | − | 258.205i | 0.874298 | − | 1.03697i | ||||
\(250\) | −6.38372 | − | 20.4701i | −0.0255349 | − | 0.0818802i | ||||
\(251\) | −110.893 | − | 64.0244i | −0.441806 | − | 0.255077i | 0.262557 | − | 0.964916i | \(-0.415434\pi\) |
−0.704364 | + | 0.709839i | \(0.748768\pi\) | |||||||
\(252\) | −40.8717 | + | 414.636i | −0.162189 | + | 1.64538i | ||||
\(253\) | 151.787 | + | 262.903i | 0.599949 | + | 1.03914i | ||||
\(254\) | −44.5488 | − | 41.0790i | −0.175389 | − | 0.161729i | ||||
\(255\) | −1.03550 | − | 0.379660i | −0.00406077 | − | 0.00148886i | ||||
\(256\) | −50.7603 | + | 250.917i | −0.198282 | + | 0.980145i | ||||
\(257\) | −251.532 | − | 91.5503i | −0.978725 | − | 0.356227i | −0.197381 | − | 0.980327i | \(-0.563244\pi\) |
−0.781344 | + | 0.624100i | \(0.785466\pi\) | |||||||
\(258\) | −34.3556 | − | 272.519i | −0.133161 | − | 1.05627i | ||||
\(259\) | 549.383 | + | 96.8710i | 2.12117 | + | 0.374019i | ||||
\(260\) | 9.89413 | − | 13.9434i | 0.0380543 | − | 0.0536286i | ||||
\(261\) | −13.8976 | + | 76.6981i | −0.0532474 | + | 0.293862i | ||||
\(262\) | 169.172 | + | 327.478i | 0.645694 | + | 1.24992i | ||||
\(263\) | −167.815 | + | 199.995i | −0.638081 | + | 0.760436i | −0.984066 | − | 0.177805i | \(-0.943101\pi\) |
0.345985 | + | 0.938240i | \(0.387545\pi\) | |||||||
\(264\) | 72.2424 | − | 220.064i | 0.273646 | − | 0.833576i | ||||
\(265\) | 3.67024 | + | 20.8150i | 0.0138500 | + | 0.0785471i | ||||
\(266\) | 140.210 | − | 18.0122i | 0.527106 | − | 0.0677149i | ||||
\(267\) | −356.744 | − | 0.842001i | −1.33612 | − | 0.00315356i | ||||
\(268\) | 151.409 | − | 149.523i | 0.564959 | − | 0.557920i | ||||
\(269\) | 316.834 | 1.17782 | 0.588910 | − | 0.808199i | \(-0.299557\pi\) | ||||
0.588910 | + | 0.808199i | \(0.299557\pi\) | |||||||
\(270\) | 0.623772 | − | 11.5728i | 0.00231027 | − | 0.0428621i | ||||
\(271\) | 175.899i | 0.649072i | 0.945873 | + | 0.324536i | \(0.105208\pi\) | ||||
−0.945873 | + | 0.324536i | \(0.894792\pi\) | |||||||
\(272\) | 9.69588 | − | 25.6347i | 0.0356466 | − | 0.0942452i | ||||
\(273\) | 598.018 | + | 347.151i | 2.19054 | + | 1.27161i | ||||
\(274\) | 49.8300 | − | 6.40143i | 0.181861 | − | 0.0233629i | ||||
\(275\) | −237.166 | + | 41.8188i | −0.862422 | + | 0.152068i | ||||
\(276\) | −269.206 | + | 264.600i | −0.975383 | + | 0.958694i | ||||
\(277\) | 12.2521 | + | 10.2807i | 0.0442313 | + | 0.0371144i | 0.664635 | − | 0.747168i | \(-0.268587\pi\) |
−0.620404 | + | 0.784282i | \(0.713031\pi\) | |||||||
\(278\) | −8.01279 | − | 15.5109i | −0.0288230 | − | 0.0557947i | ||||
\(279\) | 1.39829 | − | 0.239755i | 0.00501178 | − | 0.000859338i | ||||
\(280\) | −7.43150 | − | 18.4294i | −0.0265411 | − | 0.0658194i | ||||
\(281\) | −55.2824 | + | 313.522i | −0.196734 | + | 1.11574i | 0.713193 | + | 0.700968i | \(0.247248\pi\) |
−0.909927 | + | 0.414768i | \(0.863863\pi\) | |||||||
\(282\) | 205.680 | + | 86.5225i | 0.729362 | + | 0.306817i | ||||
\(283\) | 70.4466 | − | 193.550i | 0.248928 | − | 0.683924i | −0.750798 | − | 0.660531i | \(-0.770331\pi\) |
0.999726 | − | 0.0233925i | \(-0.00744673\pi\) | |||||||
\(284\) | 301.798 | − | 24.4988i | 1.06267 | − | 0.0862632i | ||||
\(285\) | −3.87404 | + | 0.673674i | −0.0135931 | + | 0.00236377i | ||||
\(286\) | −282.594 | − | 260.584i | −0.988091 | − | 0.911132i | ||||
\(287\) | 205.778 | − | 118.806i | 0.716998 | − | 0.413959i | ||||
\(288\) | 287.410 | + | 18.4263i | 0.997951 | + | 0.0639801i | ||||
\(289\) | 143.033 | − | 247.740i | 0.494924 | − | 0.857233i | ||||
\(290\) | −1.10678 | − | 3.54900i | −0.00381648 | − | 0.0122379i | ||||
\(291\) | 69.4028 | − | 25.0752i | 0.238498 | − | 0.0861691i | ||||
\(292\) | 88.1320 | − | 60.8911i | 0.301822 | − | 0.208531i | ||||
\(293\) | 74.1234 | − | 62.1969i | 0.252981 | − | 0.212276i | −0.507474 | − | 0.861667i | \(-0.669421\pi\) |
0.760455 | + | 0.649391i | \(0.224976\pi\) | |||||||
\(294\) | 453.374 | − | 232.854i | 1.54209 | − | 0.792022i | ||||
\(295\) | −0.924972 | − | 2.54134i | −0.00313550 | − | 0.00861471i | ||||
\(296\) | 53.9245 | − | 381.821i | 0.182177 | − | 1.28994i | ||||
\(297\) | −256.285 | − | 47.0635i | −0.862914 | − | 0.158463i | ||||
\(298\) | 16.3403 | + | 10.4821i | 0.0548333 | + | 0.0351748i | ||||
\(299\) | 214.262 | + | 588.681i | 0.716596 | + | 1.96883i | ||||
\(300\) | −124.206 | − | 272.473i | −0.414019 | − | 0.908244i | ||||
\(301\) | −405.870 | + | 340.566i | −1.34841 | + | 1.13145i | ||||
\(302\) | −173.346 | − | 72.4397i | −0.573994 | − | 0.239866i | ||||
\(303\) | 24.9621 | − | 139.639i | 0.0823833 | − | 0.460855i | ||||
\(304\) | −15.7603 | − | 96.4352i | −0.0518431 | − | 0.317221i | ||||
\(305\) | 8.80046 | − | 15.2428i | 0.0288540 | − | 0.0499765i | ||||
\(306\) | −30.0487 | − | 6.90970i | −0.0981985 | − | 0.0225807i | ||||
\(307\) | 234.193 | − | 135.212i | 0.762845 | − | 0.440429i | −0.0674715 | − | 0.997721i | \(-0.521493\pi\) |
0.830316 | + | 0.557293i | \(0.188160\pi\) | |||||||
\(308\) | −432.266 | + | 112.926i | −1.40346 | + | 0.366643i | ||||
\(309\) | −102.206 | − | 122.390i | −0.330764 | − | 0.396083i | ||||
\(310\) | −0.0538091 | + | 0.0410219i | −0.000173578 | + | 0.000132329i | ||||
\(311\) | 6.59888 | − | 18.1303i | 0.0212183 | − | 0.0582967i | −0.928631 | − | 0.371004i | \(-0.879014\pi\) |
0.949850 | + | 0.312707i | \(0.101236\pi\) | |||||||
\(312\) | 225.674 | − | 421.341i | 0.723315 | − | 1.35045i | ||||
\(313\) | 84.3023 | − | 478.102i | 0.269337 | − | 1.52748i | −0.487059 | − | 0.873369i | \(-0.661930\pi\) |
0.756396 | − | 0.654114i | \(-0.226959\pi\) | |||||||
\(314\) | −12.6051 | + | 269.332i | −0.0401437 | + | 0.857746i | ||||
\(315\) | −19.4128 | + | 11.0861i | −0.0616279 | + | 0.0351941i | ||||
\(316\) | −43.5839 | + | 464.607i | −0.137924 | + | 1.47028i | ||||
\(317\) | 420.029 | + | 352.446i | 1.32501 | + | 1.11182i | 0.985216 | + | 0.171318i | \(0.0548024\pi\) |
0.339796 | + | 0.940499i | \(0.389642\pi\) | |||||||
\(318\) | 174.584 | + | 564.505i | 0.549005 | + | 1.77517i | ||||
\(319\) | −82.3134 | + | 14.5141i | −0.258036 | + | 0.0454987i | ||||
\(320\) | −12.5558 | + | 5.56988i | −0.0392368 | + | 0.0174059i | ||||
\(321\) | −81.1064 | + | 46.5719i | −0.252668 | + | 0.145084i | ||||
\(322\) | 710.354 | + | 159.819i | 2.20607 | + | 0.496332i | ||||
\(323\) | 10.4612i | 0.0323876i | ||||||||
\(324\) | −23.1648 | − | 323.171i | −0.0714964 | − | 0.997441i | ||||
\(325\) | −496.970 | −1.52914 | ||||||||
\(326\) | −88.9157 | + | 395.207i | −0.272748 | + | 1.21229i | ||||
\(327\) | −93.4981 | − | 162.830i | −0.285927 | − | 0.497950i | ||||
\(328\) | −86.9430 | − | 139.347i | −0.265070 | − | 0.424839i | ||||
\(329\) | −74.7406 | − | 423.875i | −0.227175 | − | 1.28837i | ||||
\(330\) | 11.8727 | − | 3.67187i | 0.0359780 | − | 0.0111269i | ||||
\(331\) | −349.160 | + | 416.112i | −1.05486 | + | 1.25714i | −0.0895664 | + | 0.995981i | \(0.528548\pi\) |
−0.965297 | + | 0.261156i | \(0.915896\pi\) | |||||||
\(332\) | −42.0581 | + | 448.341i | −0.126681 | + | 1.35043i | ||||
\(333\) | −433.807 | − | 2.04779i | −1.30272 | − | 0.00614952i | ||||
\(334\) | 298.277 | + | 13.9598i | 0.893045 | + | 0.0417957i | ||||
\(335\) | 11.2441 | + | 1.98264i | 0.0335646 | + | 0.00591834i | ||||
\(336\) | −270.567 | − | 485.185i | −0.805258 | − | 1.44400i | ||||
\(337\) | 187.444 | + | 68.2240i | 0.556214 | + | 0.202445i | 0.604805 | − | 0.796374i | \(-0.293251\pi\) |
−0.0485915 | + | 0.998819i | \(0.515473\pi\) | |||||||
\(338\) | −276.008 | − | 362.045i | −0.816593 | − | 1.07114i | ||||
\(339\) | 300.572 | − | 251.003i | 0.886643 | − | 0.740422i | ||||
\(340\) | 1.42279 | − | 0.371692i | 0.00418467 | − | 0.00109321i | ||||
\(341\) | 0.760637 | + | 1.31746i | 0.00223061 | + | 0.00386352i | ||||
\(342\) | −105.097 | + | 32.2318i | −0.307302 | + | 0.0942449i | ||||
\(343\) | −360.283 | − | 208.010i | −1.05039 | − | 0.606442i | ||||
\(344\) | 244.875 | + | 272.330i | 0.711845 | + | 0.791658i | ||||
\(345\) | −19.9373 | − | 3.56402i | −0.0577893 | − | 0.0103305i | ||||
\(346\) | −241.094 | + | 576.930i | −0.696802 | + | 1.66743i | ||||
\(347\) | −19.9944 | − | 23.8284i | −0.0576208 | − | 0.0686697i | 0.736464 | − | 0.676477i | \(-0.236494\pi\) |
−0.794085 | + | 0.607807i | \(0.792050\pi\) | |||||||
\(348\) | −43.1081 | − | 94.5675i | −0.123874 | − | 0.271746i | ||||
\(349\) | −181.722 | + | 66.1414i | −0.520694 | + | 0.189517i | −0.588978 | − | 0.808149i | \(-0.700470\pi\) |
0.0682846 | + | 0.997666i | \(0.478247\pi\) | |||||||
\(350\) | −311.874 | + | 486.175i | −0.891069 | + | 1.38907i | ||||
\(351\) | −503.975 | − | 187.484i | −1.43583 | − | 0.534142i | ||||
\(352\) | 88.2388 | + | 295.950i | 0.250678 | + | 0.840768i | ||||
\(353\) | −247.782 | + | 90.1852i | −0.701932 | + | 0.255482i | −0.668235 | − | 0.743950i | \(-0.732950\pi\) |
−0.0336962 | + | 0.999432i | \(0.510728\pi\) | |||||||
\(354\) | −34.5419 | − | 67.2540i | −0.0975760 | − | 0.189983i | ||||
\(355\) | 10.4429 | + | 12.4454i | 0.0294167 | + | 0.0350575i | ||||
\(356\) | 391.340 | − | 270.380i | 1.09927 | − | 0.759493i | ||||
\(357\) | 20.2094 | + | 55.9353i | 0.0566090 | + | 0.156682i | ||||
\(358\) | −51.2708 | + | 15.9891i | −0.143215 | + | 0.0446624i | ||||
\(359\) | −250.254 | − | 144.484i | −0.697086 | − | 0.402463i | 0.109175 | − | 0.994023i | \(-0.465179\pi\) |
−0.806261 | + | 0.591560i | \(0.798512\pi\) | |||||||
\(360\) | 8.11787 | + | 13.1487i | 0.0225496 | + | 0.0365241i | ||||
\(361\) | −161.851 | − | 280.335i | −0.448342 | − | 0.776550i | ||||
\(362\) | 390.588 | − | 423.580i | 1.07897 | − | 1.17011i | ||||
\(363\) | 14.3206 | + | 82.3520i | 0.0394506 | + | 0.226865i | ||||
\(364\) | −918.946 | + | 74.5964i | −2.52458 | + | 0.204935i | ||||
\(365\) | 5.40101 | + | 1.96581i | 0.0147973 | + | 0.00538577i | ||||
\(366\) | 190.796 | − | 453.558i | 0.521301 | − | 1.23923i | ||||
\(367\) | −443.020 | − | 78.1163i | −1.20714 | − | 0.212851i | −0.466356 | − | 0.884597i | \(-0.654434\pi\) |
−0.740782 | + | 0.671746i | \(0.765545\pi\) | |||||||
\(368\) | 93.6027 | − | 494.514i | 0.254355 | − | 1.34379i | ||||
\(369\) | −142.106 | + | 118.103i | −0.385112 | + | 0.320061i | ||||
\(370\) | 18.3822 | − | 9.49604i | 0.0496815 | − | 0.0256650i | ||||
\(371\) | 732.629 | − | 873.113i | 1.97474 | − | 2.35340i | ||||
\(372\) | −1.34905 | + | 1.32596i | −0.00362647 | + | 0.00356442i | ||||
\(373\) | −40.7778 | − | 231.262i | −0.109324 | − | 0.620006i | −0.989405 | − | 0.145183i | \(-0.953623\pi\) |
0.880081 | − | 0.474824i | \(-0.157488\pi\) | |||||||
\(374\) | −4.21276 | − | 32.7929i | −0.0112641 | − | 0.0876816i | ||||
\(375\) | 16.1475 | − | 27.8164i | 0.0430599 | − | 0.0741771i | ||||
\(376\) | −291.057 | + | 61.6607i | −0.774088 | + | 0.163991i | ||||
\(377\) | −172.484 | −0.457517 | ||||||||
\(378\) | −499.682 | + | 375.373i | −1.32191 | + | 0.993049i | ||||
\(379\) | 24.5603i | 0.0648028i | 0.999475 | + | 0.0324014i | \(0.0103155\pi\) | ||||
−0.999475 | + | 0.0324014i | \(0.989685\pi\) | |||||||
\(380\) | 3.73046 | − | 3.68399i | 0.00981700 | − | 0.00969470i | ||||
\(381\) | 0.214537 | − | 90.8963i | 0.000563090 | − | 0.238573i | ||||
\(382\) | −57.4559 | − | 447.248i | −0.150408 | − | 1.17081i | ||||
\(383\) | 586.109 | − | 103.347i | 1.53031 | − | 0.269835i | 0.655835 | − | 0.754905i | \(-0.272317\pi\) |
0.874475 | + | 0.485070i | \(0.161206\pi\) | |||||||
\(384\) | −328.780 | + | 198.394i | −0.856197 | + | 0.516650i | ||||
\(385\) | −18.3634 | − | 15.4087i | −0.0476972 | − | 0.0400227i | ||||
\(386\) | 366.245 | − | 189.199i | 0.948822 | − | 0.490152i | ||||
\(387\) | 266.324 | − | 314.367i | 0.688176 | − | 0.812317i | ||||
\(388\) | −56.9392 | + | 80.2424i | −0.146751 | + | 0.206810i | ||||
\(389\) | −57.6262 | + | 326.814i | −0.148139 | + | 0.840139i | 0.816654 | + | 0.577128i | \(0.195827\pi\) |
−0.964793 | + | 0.263011i | \(0.915284\pi\) | |||||||
\(390\) | 25.4444 | − | 3.20769i | 0.0652420 | − | 0.00822486i | ||||
\(391\) | −18.4288 | + | 50.6327i | −0.0471325 | + | 0.129495i | ||||
\(392\) | −319.443 | + | 599.806i | −0.814904 | + | 1.53012i | ||||
\(393\) | −190.325 | + | 519.099i | −0.484288 | + | 1.32086i | ||||
\(394\) | 170.938 | − | 185.377i | 0.433853 | − | 0.470499i | ||||
\(395\) | −21.6836 | + | 12.5190i | −0.0548952 | + | 0.0316938i | ||||
\(396\) | 316.471 | − | 143.360i | 0.799169 | − | 0.362021i | ||||
\(397\) | −42.7323 | + | 74.0146i | −0.107638 | + | 0.186435i | −0.914813 | − | 0.403878i | \(-0.867662\pi\) |
0.807175 | + | 0.590312i | \(0.200995\pi\) | |||||||
\(398\) | 142.302 | − | 44.3778i | 0.357542 | − | 0.111502i | ||||
\(399\) | 162.113 | + | 136.682i | 0.406297 | + | 0.342561i | ||||
\(400\) | 343.242 | + | 203.950i | 0.858106 | + | 0.509876i | ||||
\(401\) | 129.017 | − | 108.258i | 0.321738 | − | 0.269970i | −0.467586 | − | 0.883948i | \(-0.654876\pi\) |
0.789323 | + | 0.613978i | \(0.210432\pi\) | |||||||
\(402\) | 318.807 | + | 15.6748i | 0.793053 | + | 0.0389921i | ||||
\(403\) | 1.07371 | + | 2.95000i | 0.00266430 | + | 0.00732011i | ||||
\(404\) | 78.8568 | + | 171.914i | 0.195190 | + | 0.425530i | ||||
\(405\) | 13.4221 | − | 11.0482i | 0.0331409 | − | 0.0272795i | ||||
\(406\) | −108.242 | + | 168.737i | −0.266607 | + | 0.415609i | ||||
\(407\) | −159.101 | − | 437.126i | −0.390911 | − | 1.07402i | ||||
\(408\) | 38.1637 | − | 15.2845i | 0.0935384 | − | 0.0374621i | ||||
\(409\) | −106.572 | + | 89.4245i | −0.260567 | + | 0.218642i | −0.763707 | − | 0.645563i | \(-0.776623\pi\) |
0.503139 | + | 0.864205i | \(0.332178\pi\) | |||||||
\(410\) | 3.39796 | − | 8.13124i | 0.00828772 | − | 0.0198323i | ||||
\(411\) | 57.6140 | + | 48.5761i | 0.140180 | + | 0.118190i | ||||
\(412\) | 205.011 | + | 56.3121i | 0.497599 | + | 0.136680i | ||||
\(413\) | −72.9187 | + | 126.299i | −0.176559 | + | 0.305808i | ||||
\(414\) | −565.457 | − | 29.1398i | −1.36584 | − | 0.0703861i | ||||
\(415\) | −20.9245 | + | 12.0808i | −0.0504205 | + | 0.0291103i | ||||
\(416\) | 73.2730 | + | 633.070i | 0.176137 | + | 1.52180i | ||||
\(417\) | 9.01471 | − | 24.5870i | 0.0216180 | − | 0.0589616i | ||||
\(418\) | −71.4659 | − | 93.7430i | −0.170971 | − | 0.224266i | ||||
\(419\) | −48.4909 | + | 133.228i | −0.115730 | + | 0.317966i | −0.984011 | − | 0.178107i | \(-0.943003\pi\) |
0.868281 | + | 0.496073i | \(0.165225\pi\) | |||||||
\(420\) | 12.8296 | − | 26.9047i | 0.0305467 | − | 0.0640587i | ||||
\(421\) | 18.5532 | − | 105.220i | 0.0440694 | − | 0.249930i | −0.954812 | − | 0.297209i | \(-0.903944\pi\) |
0.998882 | + | 0.0472796i | \(0.0150552\pi\) | |||||||
\(422\) | 54.7053 | + | 2.56028i | 0.129633 | + | 0.00606702i | ||||
\(423\) | 112.990 | + | 315.058i | 0.267117 | + | 0.744818i | ||||
\(424\) | −620.504 | − | 485.466i | −1.46345 | − | 1.14497i | ||||
\(425\) | −32.7443 | − | 27.4757i | −0.0770454 | − | 0.0646488i | ||||
\(426\) | 333.170 | + | 308.679i | 0.782089 | + | 0.724598i | ||||
\(427\) | −934.714 | + | 164.815i | −2.18903 | + | 0.385984i | ||||
\(428\) | 53.4087 | − | 112.686i | 0.124787 | − | 0.263284i | ||||
\(429\) | 1.36091 | − | 576.598i | 0.00317229 | − | 1.34405i | ||||
\(430\) | −4.31323 | + | 19.1712i | −0.0100308 | + | 0.0445842i | ||||
\(431\) | − | 560.222i | − | 1.29982i | −0.760012 | − | 0.649910i | \(-0.774807\pi\) | ||
0.760012 | − | 0.649910i | \(-0.225193\pi\) | |||||||
\(432\) | 271.139 | + | 336.314i | 0.627638 | + | 0.778506i | ||||
\(433\) | 381.789 | 0.881731 | 0.440865 | − | 0.897573i | \(-0.354672\pi\) | ||||
0.440865 | + | 0.897573i | \(0.354672\pi\) | |||||||
\(434\) | 3.55973 | + | 0.800887i | 0.00820215 | + | 0.00184536i | ||||
\(435\) | 2.79957 | − | 4.82268i | 0.00643580 | − | 0.0110866i | ||||
\(436\) | 226.229 | + | 107.224i | 0.518873 | + | 0.245926i | ||||
\(437\) | 33.3589 | + | 189.188i | 0.0763362 | + | 0.432924i | ||||
\(438\) | 156.680 | + | 35.6393i | 0.357716 | + | 0.0813683i | ||||
\(439\) | 310.625 | − | 370.189i | 0.707575 | − | 0.843255i | −0.285786 | − | 0.958293i | \(-0.592255\pi\) |
0.993361 | + | 0.115038i | \(0.0366991\pi\) | |||||||
\(440\) | −10.2104 | + | 13.0505i | −0.0232054 | + | 0.0296603i | ||||
\(441\) | 717.165 | + | 264.867i | 1.62622 | + | 0.600606i | ||||
\(442\) | 3.18968 | − | 68.1536i | 0.00721648 | − | 0.154194i | ||||
\(443\) | −310.302 | − | 54.7146i | −0.700456 | − | 0.123509i | −0.187932 | − | 0.982182i | \(-0.560178\pi\) |
−0.512524 | + | 0.858673i | \(0.671289\pi\) | |||||||
\(444\) | 476.655 | − | 327.665i | 1.07355 | − | 0.737985i | ||||
\(445\) | 23.9825 | + | 8.72893i | 0.0538933 | + | 0.0196156i | ||||
\(446\) | 62.9798 | − | 48.0133i | 0.141210 | − | 0.107653i | ||||
\(447\) | 4.98895 | + | 28.6896i | 0.0111610 | + | 0.0641825i | ||||
\(448\) | 665.301 | + | 325.602i | 1.48505 | + | 0.726791i | ||||
\(449\) | 408.322 | + | 707.234i | 0.909402 | + | 1.57513i | 0.814897 | + | 0.579606i | \(0.196794\pi\) |
0.0945056 | + | 0.995524i | \(0.469873\pi\) | |||||||
\(450\) | 175.144 | − | 413.617i | 0.389210 | − | 0.919149i | ||||
\(451\) | −171.592 | − | 99.0687i | −0.380470 | − | 0.219665i | ||||
\(452\) | −138.295 | + | 503.478i | −0.305961 | + | 1.11389i | ||||
\(453\) | −95.7595 | − | 265.042i | −0.211390 | − | 0.585081i | ||||
\(454\) | 687.919 | + | 287.474i | 1.51524 | + | 0.633204i | ||||
\(455\) | −31.7978 | − | 37.8951i | −0.0698852 | − | 0.0832859i | ||||
\(456\) | 90.5888 | − | 115.226i | 0.198660 | − | 0.252688i | ||||
\(457\) | 48.2527 | − | 17.5625i | 0.105586 | − | 0.0384301i | −0.288687 | − | 0.957424i | \(-0.593219\pi\) |
0.394273 | + | 0.918993i | \(0.370996\pi\) | |||||||
\(458\) | −483.923 | − | 310.429i | −1.05660 | − | 0.677793i | ||||
\(459\) | −22.8405 | − | 40.2159i | −0.0497615 | − | 0.0876164i | ||||
\(460\) | 24.5454 | − | 11.2590i | 0.0533596 | − | 0.0244760i | ||||
\(461\) | 559.359 | − | 203.590i | 1.21336 | − | 0.441627i | 0.345492 | − | 0.938422i | \(-0.387712\pi\) |
0.867868 | + | 0.496795i | \(0.165490\pi\) | |||||||
\(462\) | −563.220 | − | 363.176i | −1.21909 | − | 0.786096i | ||||
\(463\) | 277.457 | + | 330.660i | 0.599259 | + | 0.714169i | 0.977357 | − | 0.211597i | \(-0.0678663\pi\) |
−0.378098 | + | 0.925766i | \(0.623422\pi\) | |||||||
\(464\) | 119.129 | + | 70.7852i | 0.256744 | + | 0.152554i | ||||
\(465\) | −0.0999100 | − | 0.0178601i | −0.000214860 | − | 3.84088e-5i | ||||
\(466\) | 218.970 | + | 702.151i | 0.469894 | + | 1.50676i | ||||
\(467\) | 654.186 | + | 377.694i | 1.40083 | + | 0.808767i | 0.994477 | − | 0.104951i | \(-0.0334685\pi\) |
0.406349 | + | 0.913718i | \(0.366802\pi\) | |||||||
\(468\) | 694.526 | − | 177.942i | 1.48403 | − | 0.380217i | ||||
\(469\) | −307.848 | − | 533.208i | −0.656392 | − | 1.13690i | ||||
\(470\) | −11.7356 | − | 10.8215i | −0.0249693 | − | 0.0230245i | ||||
\(471\) | −310.432 | + | 259.237i | −0.659091 | + | 0.550398i | ||||
\(472\) | 88.9760 | + | 47.3865i | 0.188509 | + | 0.100395i | ||||
\(473\) | 415.161 | + | 151.106i | 0.877719 | + | 0.319464i | ||||
\(474\) | −557.656 | + | 423.057i | −1.17649 | + | 0.892526i | ||||
\(475\) | −150.082 | − | 26.4636i | −0.315963 | − | 0.0557128i | ||||
\(476\) | −64.6715 | − | 45.8903i | −0.135865 | − | 0.0964081i | ||||
\(477\) | −446.782 | + | 765.482i | −0.936651 | + | 1.60478i | ||||
\(478\) | −163.342 | − | 316.192i | −0.341719 | − | 0.661489i | ||||
\(479\) | −379.355 | + | 452.098i | −0.791974 | + | 0.943837i | −0.999408 | − | 0.0344117i | \(-0.989044\pi\) |
0.207434 | + | 0.978249i | \(0.433489\pi\) | |||||||
\(480\) | −18.8900 | − | 8.22659i | −0.0393543 | − | 0.0171387i | ||||
\(481\) | −166.694 | − | 945.370i | −0.346558 | − | 1.96543i | ||||
\(482\) | −691.578 | + | 88.8439i | −1.43481 | + | 0.184323i | ||||
\(483\) | 543.849 | + | 947.130i | 1.12598 | + | 1.96093i | ||||
\(484\) | −78.3119 | − | 79.2998i | −0.161801 | − | 0.163843i | ||||
\(485\) | −5.27924 | −0.0108850 | ||||||||
\(486\) | 333.652 | − | 353.373i | 0.686526 | − | 0.727105i | ||||
\(487\) | 474.186i | 0.973688i | 0.873489 | + | 0.486844i | \(0.161852\pi\) | ||||
−0.873489 | + | 0.486844i | \(0.838148\pi\) | |||||||
\(488\) | 135.972 | + | 641.829i | 0.278631 | + | 1.31522i | ||||
\(489\) | −526.938 | + | 302.572i | −1.07758 | + | 0.618756i | ||||
\(490\) | −36.1652 | + | 4.64598i | −0.0738065 | + | 0.00948159i | ||||
\(491\) | 280.087 | − | 49.3868i | 0.570441 | − | 0.100584i | 0.119015 | − | 0.992892i | \(-0.462026\pi\) |
0.451427 | + | 0.892308i | \(0.350915\pi\) | |||||||
\(492\) | 65.8159 | − | 237.415i | 0.133772 | − | 0.482551i | ||||
\(493\) | −11.3646 | − | 9.53602i | −0.0230519 | − | 0.0193428i | ||||
\(494\) | −111.646 | − | 216.120i | −0.226003 | − | 0.437490i | ||||
\(495\) | 16.0997 | + | 9.39678i | 0.0325247 | + | 0.0189834i | ||||
\(496\) | 0.469063 | − | 2.47812i | 0.000945692 | − | 0.00499620i | ||||
\(497\) | 152.131 | − | 862.777i | 0.306098 | − | 1.73597i | ||||
\(498\) | −538.133 | + | 408.246i | −1.08059 | + | 0.819772i | ||||
\(499\) | −128.475 | + | 352.983i | −0.257465 | + | 0.707380i | 0.741857 | + | 0.670559i | \(0.233946\pi\) |
−0.999322 | + | 0.0368216i | \(0.988277\pi\) | |||||||
\(500\) | 3.46980 | + | 42.7441i | 0.00693960 | + | 0.0854883i | ||||
\(501\) | 287.097 | + | 343.794i | 0.573048 | + | 0.686215i | ||||
\(502\) | 188.272 | + | 173.608i | 0.375043 | + | 0.345832i | ||||
\(503\) | −461.157 | + | 266.249i | −0.916814 | + | 0.529323i | −0.882617 | − | 0.470092i | \(-0.844221\pi\) |
−0.0341967 | + | 0.999415i | \(0.510887\pi\) | |||||||
\(504\) | 261.774 | − | 791.107i | 0.519393 | − | 1.56966i | ||||
\(505\) | −5.07411 | + | 8.78861i | −0.0100477 | + | 0.0174032i | ||||
\(506\) | −180.757 | − | 579.617i | −0.357228 | − | 1.14549i | ||||
\(507\) | 120.168 | − | 672.226i | 0.237018 | − | 1.32589i | ||||
\(508\) | 68.8912 | + | 99.7113i | 0.135613 | + | 0.196282i | ||||
\(509\) | 142.299 | − | 119.403i | 0.279565 | − | 0.234583i | −0.492213 | − | 0.870475i | \(-0.663812\pi\) |
0.771778 | + | 0.635892i | \(0.219367\pi\) | |||||||
\(510\) | 1.85382 | + | 1.19538i | 0.00363493 | + | 0.00234388i | ||||
\(511\) | −106.006 | − | 291.250i | −0.207449 | − | 0.569962i | ||||
\(512\) | 209.196 | − | 467.312i | 0.408587 | − | 0.912719i | ||||
\(513\) | −142.214 | − | 83.4557i | −0.277221 | − | 0.162682i | ||||
\(514\) | 450.606 | + | 289.057i | 0.876666 | + | 0.562368i | ||||
\(515\) | 3.90154 | + | 10.7194i | 0.00757581 | + | 0.0208144i | ||||
\(516\) | −52.5992 | + | 546.827i | −0.101936 | + | 1.05974i | ||||
\(517\) | −274.940 | + | 230.702i | −0.531799 | + | 0.446232i | ||||
\(518\) | −1029.44 | − | 430.194i | −1.98734 | − | 0.830491i | ||||
\(519\) | −882.111 | + | 318.706i | −1.69964 | + | 0.614078i | ||||
\(520\) | −25.4268 | + | 22.8633i | −0.0488977 | + | 0.0439679i | ||||
\(521\) | 87.3646 | − | 151.320i | 0.167686 | − | 0.290441i | −0.769920 | − | 0.638141i | \(-0.779704\pi\) |
0.937606 | + | 0.347700i | \(0.113037\pi\) | |||||||
\(522\) | 60.7875 | − | 143.554i | 0.116451 | − | 0.275008i | ||||
\(523\) | 721.777 | − | 416.718i | 1.38007 | − | 0.796784i | 0.387903 | − | 0.921700i | \(-0.373200\pi\) |
0.992167 | + | 0.124916i | \(0.0398662\pi\) | |||||||
\(524\) | −186.331 | − | 713.249i | −0.355593 | − | 1.36116i | ||||
\(525\) | −853.603 | + | 148.437i | −1.62591 | + | 0.282737i | ||||
\(526\) | 415.243 | − | 316.564i | 0.789435 | − | 0.601833i | ||||
\(527\) | −0.0923506 | + | 0.253731i | −0.000175238 | + | 0.000481463i | ||||
\(528\) | −237.569 | + | 397.680i | −0.449941 | + | 0.753182i | ||||
\(529\) | −79.9609 | + | 453.481i | −0.151155 | + | 0.857242i | ||||
\(530\) | 1.97623 | − | 42.2260i | 0.00372874 | − | 0.0796716i | ||||
\(531\) | 39.2907 | − | 106.385i | 0.0739938 | − | 0.200349i | ||||
\(532\) | −281.489 | − | 26.4060i | −0.529115 | − | 0.0496353i | ||||
\(533\) | −313.220 | − | 262.823i | −0.587656 | − | 0.493102i | ||||
\(534\) | 695.718 | + | 158.252i | 1.30284 | + | 0.296352i | ||||
\(535\) | 6.58927 | − | 1.16187i | 0.0123164 | − | 0.00217171i | ||||
\(536\) | −361.073 | + | 225.284i | −0.673644 | + | 0.420307i | ||||
\(537\) | −69.6711 | − | 40.4442i | −0.129741 | − | 0.0753150i | ||||
\(538\) | −618.214 | − | 139.089i | −1.14910 | − | 0.258530i | ||||
\(539\) | 819.793i | 1.52095i | ||||||||
\(540\) | −6.29752 | + | 22.3072i | −0.0116621 | + | 0.0413097i | ||||
\(541\) | 313.109 | 0.578760 | 0.289380 | − | 0.957214i | \(-0.406551\pi\) | ||||
0.289380 | + | 0.957214i | \(0.406551\pi\) | |||||||
\(542\) | 77.2189 | − | 343.218i | 0.142470 | − | 0.633243i | ||||
\(543\) | 864.262 | + | 2.03987i | 1.59164 | + | 0.00375666i | ||||
\(544\) | −30.1724 | + | 45.7626i | −0.0554640 | + | 0.0841225i | ||||
\(545\) | 2.33257 | + | 13.2287i | 0.00427995 | + | 0.0242728i | ||||
\(546\) | −1014.47 | − | 939.897i | −1.85801 | − | 1.72142i | ||||
\(547\) | 372.771 | − | 444.251i | 0.681482 | − | 0.812158i | −0.308816 | − | 0.951122i | \(-0.599933\pi\) |
0.990297 | + | 0.138964i | \(0.0443771\pi\) | |||||||
\(548\) | −100.040 | − | 9.38455i | −0.182554 | − | 0.0171251i | ||||
\(549\) | 694.755 | − | 249.162i | 1.26549 | − | 0.453848i | ||||
\(550\) | 481.123 | + | 22.5172i | 0.874769 | + | 0.0409404i | ||||
\(551\) | −52.0892 | − | 9.18473i | −0.0945358 | − | 0.0166692i | ||||
\(552\) | 641.439 | − | 398.113i | 1.16203 | − | 0.721220i | ||||
\(553\) | 1268.76 | + | 461.790i | 2.29432 | + | 0.835063i | ||||
\(554\) | −19.3933 | − | 25.4386i | −0.0350060 | − | 0.0459180i | ||||
\(555\) | 29.1383 | + | 10.6834i | 0.0525015 | + | 0.0192494i | ||||
\(556\) | 8.82552 | + | 33.7829i | 0.0158732 | + | 0.0607606i | ||||
\(557\) | −39.2530 | − | 67.9882i | −0.0704722 | − | 0.122061i | 0.828636 | − | 0.559788i | \(-0.189117\pi\) |
−0.899108 | + | 0.437726i | \(0.855784\pi\) | |||||||
\(558\) | −2.83362 | − | 0.146026i | −0.00507818 | − | 0.000261695i | ||||
\(559\) | 789.570 | + | 455.859i | 1.41247 | + | 0.815489i | ||||
\(560\) | 6.41007 | + | 39.2224i | 0.0114466 | + | 0.0700400i | ||||
\(561\) | 31.9678 | − | 37.9156i | 0.0569835 | − | 0.0675857i | ||||
\(562\) | 245.503 | − | 587.483i | 0.436839 | − | 1.04534i | ||||
\(563\) | 28.0423 | + | 33.4195i | 0.0498087 | + | 0.0593597i | 0.790374 | − | 0.612625i | \(-0.209886\pi\) |
−0.740565 | + | 0.671985i | \(0.765442\pi\) | |||||||
\(564\) | −363.345 | − | 259.118i | −0.644229 | − | 0.459429i | ||||
\(565\) | −26.3253 | + | 9.58163i | −0.0465935 | + | 0.0169586i | ||||
\(566\) | −222.425 | + | 346.735i | −0.392977 | + | 0.612606i | ||||
\(567\) | −921.633 | − | 171.496i | −1.62546 | − | 0.302462i | ||||
\(568\) | −599.631 | − | 84.6856i | −1.05569 | − | 0.149094i | ||||
\(569\) | −623.877 | + | 227.073i | −1.09645 | + | 0.399074i | −0.826005 | − | 0.563663i | \(-0.809392\pi\) |
−0.270441 | + | 0.962737i | \(0.587169\pi\) | |||||||
\(570\) | 7.85487 | + | 0.386201i | 0.0137805 | + | 0.000677545i | ||||
\(571\) | 316.761 | + | 377.501i | 0.554747 | + | 0.661122i | 0.968426 | − | 0.249301i | \(-0.0802009\pi\) |
−0.413679 | + | 0.910423i | \(0.635756\pi\) | |||||||
\(572\) | 437.010 | + | 632.516i | 0.764003 | + | 1.10580i | ||||
\(573\) | 435.994 | − | 517.113i | 0.760896 | − | 0.902467i | ||||
\(574\) | −453.676 | + | 141.482i | −0.790376 | + | 0.246484i | ||||
\(575\) | −679.786 | − | 392.475i | −1.18224 | − | 0.682565i | ||||
\(576\) | −552.713 | − | 162.126i | −0.959571 | − | 0.281468i | ||||
\(577\) | −4.25933 | − | 7.37738i | −0.00738186 | − | 0.0127858i | 0.862311 | − | 0.506379i | \(-0.169016\pi\) |
−0.869693 | + | 0.493594i | \(0.835683\pi\) | |||||||
\(578\) | −387.847 | + | 420.606i | −0.671015 | + | 0.727692i | ||||
\(579\) | 580.550 | + | 212.856i | 1.00268 | + | 0.367627i | ||||
\(580\) | 0.601578 | + | 7.41078i | 0.00103720 | + | 0.0127772i | ||||
\(581\) | 1224.34 | + | 445.623i | 2.10730 | + | 0.766993i | ||||
\(582\) | −146.428 | + | 18.4598i | −0.251595 | + | 0.0317179i | ||||
\(583\) | −935.977 | − | 165.038i | −1.60545 | − | 0.283084i | ||||
\(584\) | −198.696 | + | 80.1225i | −0.340234 | + | 0.137196i | ||||
\(585\) | 29.3516 | + | 24.8660i | 0.0501737 | + | 0.0425060i | ||||
\(586\) | −171.936 | + | 88.8203i | −0.293406 | + | 0.151571i | ||||
\(587\) | 265.990 | − | 316.994i | 0.453134 | − | 0.540024i | −0.490313 | − | 0.871546i | \(-0.663118\pi\) |
0.943447 | + | 0.331522i | \(0.107562\pi\) | |||||||
\(588\) | −986.857 | + | 255.322i | −1.67833 | + | 0.434221i | ||||
\(589\) | 0.167169 | + | 0.948061i | 0.000283818 | + | 0.00160961i | ||||
\(590\) | 0.689190 | + | 5.36479i | 0.00116812 | + | 0.00909286i | ||||
\(591\) | 378.238 | + | 0.892733i | 0.639997 | + | 0.00151055i | ||||
\(592\) | −272.837 | + | 721.347i | −0.460874 | + | 1.21849i | ||||
\(593\) | −105.821 | −0.178450 | −0.0892252 | − | 0.996011i | \(-0.528439\pi\) | ||||
−0.0892252 | + | 0.996011i | \(0.528439\pi\) | |||||||
\(594\) | 479.410 | + | 204.340i | 0.807087 | + | 0.344007i | ||||
\(595\) | − | 4.25481i | − | 0.00715094i | ||||||
\(596\) | −27.2821 | − | 27.6263i | −0.0457753 | − | 0.0463528i | ||||
\(597\) | 193.372 | + | 112.253i | 0.323906 | + | 0.188028i | ||||
\(598\) | −159.645 | − | 1242.71i | −0.266965 | − | 2.07811i | ||||
\(599\) | −430.103 | + | 75.8387i | −0.718035 | + | 0.126609i | −0.520715 | − | 0.853730i | \(-0.674335\pi\) |
−0.197319 | + | 0.980339i | \(0.563224\pi\) | |||||||
\(600\) | 122.738 | + | 586.183i | 0.204564 | + | 0.976971i | ||||
\(601\) | −756.042 | − | 634.394i | −1.25797 | − | 1.05556i | −0.995895 | − | 0.0905178i | \(-0.971148\pi\) |
−0.262078 | − | 0.965047i | \(-0.584408\pi\) | |||||||
\(602\) | 941.452 | − | 486.345i | 1.56387 | − | 0.807882i | ||||
\(603\) | 306.025 | + | 368.222i | 0.507504 | + | 0.610650i | ||||
\(604\) | 306.437 | + | 217.445i | 0.507346 | + | 0.360008i | ||||
\(605\) | 1.03840 | − | 5.88907i | 0.00171637 | − | 0.00973400i | ||||
\(606\) | −110.008 | + | 261.509i | −0.181531 | + | 0.431533i | ||||
\(607\) | 258.006 | − | 708.866i | 0.425051 | − | 1.16782i | −0.523730 | − | 0.851884i | \(-0.675460\pi\) |
0.948781 | − | 0.315934i | \(-0.102318\pi\) | |||||||
\(608\) | −11.5828 | + | 195.086i | −0.0190507 | + | 0.320864i | ||||
\(609\) | −296.261 | + | 51.5181i | −0.486471 | + | 0.0845945i | ||||
\(610\) | −23.8632 | + | 25.8789i | −0.0391201 | + | 0.0424244i | ||||
\(611\) | −641.422 | + | 370.325i | −1.04979 | + | 0.606097i | ||||
\(612\) | 55.5986 | + | 26.6737i | 0.0908473 | + | 0.0435845i | ||||
\(613\) | 88.3953 | − | 153.105i | 0.144201 | − | 0.249764i | −0.784874 | − | 0.619656i | \(-0.787272\pi\) |
0.929075 | + | 0.369892i | \(0.120605\pi\) | |||||||
\(614\) | −516.321 | + | 161.018i | −0.840914 | + | 0.262245i | ||||
\(615\) | 12.4324 | − | 4.49184i | 0.0202154 | − | 0.00730380i | ||||
\(616\) | 893.022 | − | 30.5811i | 1.44971 | − | 0.0496447i | ||||
\(617\) | −385.320 | + | 323.322i | −0.624506 | + | 0.524023i | −0.899216 | − | 0.437504i | \(-0.855862\pi\) |
0.274710 | + | 0.961527i | \(0.411418\pi\) | |||||||
\(618\) | 145.698 | + | 283.678i | 0.235758 | + | 0.459026i | ||||
\(619\) | 82.2498 | + | 225.980i | 0.132875 | + | 0.365072i | 0.988231 | − | 0.152969i | \(-0.0488836\pi\) |
−0.855356 | + | 0.518041i | \(0.826661\pi\) | |||||||
\(620\) | 0.123002 | − | 0.0564210i | 0.000198391 | − | 9.10016e-5i | ||||
\(621\) | −541.306 | − | 654.459i | −0.871668 | − | 1.05388i | ||||
\(622\) | −20.8350 | + | 32.4794i | −0.0334968 | + | 0.0522177i | ||||
\(623\) | −470.709 | − | 1293.26i | −0.755552 | − | 2.07586i | ||||
\(624\) | −625.309 | + | 723.062i | −1.00210 | + | 1.15875i | ||||
\(625\) | 476.133 | − | 399.523i | 0.761813 | − | 0.639237i | ||||
\(626\) | −374.378 | + | 895.877i | −0.598048 | + | 1.43111i | ||||
\(627\) | 31.1147 | − | 174.057i | 0.0496248 | − | 0.277603i | ||||
\(628\) | 142.831 | − | 519.994i | 0.227438 | − | 0.828016i | ||||
\(629\) | 41.2830 | − | 71.5043i | 0.0656328 | − | 0.113679i | ||||
\(630\) | 42.7455 | − | 13.1094i | 0.0678500 | − | 0.0208086i | ||||
\(631\) | −72.3715 | + | 41.7837i | −0.114693 | + | 0.0662182i | −0.556249 | − | 0.831016i | \(-0.687760\pi\) |
0.441556 | + | 0.897234i | \(0.354427\pi\) | |||||||
\(632\) | 289.003 | − | 887.420i | 0.457283 | − | 1.40415i | ||||
\(633\) | 52.6549 | + | 63.0533i | 0.0831830 | + | 0.0996102i | ||||
\(634\) | −664.848 | − | 872.093i | −1.04866 | − | 1.37554i | ||||
\(635\) | −2.22408 | + | 6.11062i | −0.00350249 | + | 0.00962302i | ||||
\(636\) | −92.8365 | − | 1178.12i | −0.145969 | − | 1.85239i | ||||
\(637\) | −293.768 | + | 1666.04i | −0.461174 | + | 2.61545i | ||||
\(638\) | 166.984 | + | 7.81506i | 0.261730 | + | 0.0122493i | ||||
\(639\) | −3.21595 | + | 681.271i | −0.00503278 | + | 1.06615i | ||||
\(640\) | 26.9443 | − | 5.35616i | 0.0421005 | − | 0.00836899i | ||||
\(641\) | −709.440 | − | 595.291i | −1.10677 | − | 0.928691i | −0.108909 | − | 0.994052i | \(-0.534736\pi\) |
−0.997862 | + | 0.0653607i | \(0.979180\pi\) | |||||||
\(642\) | 178.702 | − | 55.2669i | 0.278352 | − | 0.0860855i | ||||
\(643\) | −0.379828 | + | 0.0669739i | −0.000590712 | + | 0.000104159i | −0.173944 | − | 0.984756i | \(-0.555651\pi\) |
0.173353 | + | 0.984860i | \(0.444540\pi\) | |||||||
\(644\) | −1315.90 | − | 623.686i | −2.04333 | − | 0.968457i | ||||
\(645\) | −25.5613 | + | 14.6775i | −0.0396300 | + | 0.0227558i | ||||
\(646\) | 4.59244 | − | 20.4122i | 0.00710903 | − | 0.0315978i | ||||
\(647\) | 295.175i | 0.456222i | 0.973635 | + | 0.228111i | \(0.0732549\pi\) | ||||
−0.973635 | + | 0.228111i | \(0.926745\pi\) | |||||||
\(648\) | −96.6710 | + | 640.749i | −0.149184 | + | 0.988809i | ||||
\(649\) | 121.609 | 0.187379 | ||||||||
\(650\) | 969.701 | + | 218.168i | 1.49185 | + | 0.335643i | ||||
\(651\) | 2.72534 | + | 4.74627i | 0.00418639 | + | 0.00729073i | ||||
\(652\) | 346.989 | − | 732.105i | 0.532192 | − | 1.12286i | ||||
\(653\) | −19.2754 | − | 109.316i | −0.0295182 | − | 0.167406i | 0.966485 | − | 0.256723i | \(-0.0826428\pi\) |
−0.996003 | + | 0.0893167i | \(0.971532\pi\) | |||||||
\(654\) | 110.954 | + | 358.763i | 0.169655 | + | 0.548567i | ||||
\(655\) | 25.4248 | − | 30.3001i | 0.0388165 | − | 0.0462597i | ||||
\(656\) | 108.472 | + | 310.066i | 0.165354 | + | 0.472661i | ||||
\(657\) | 119.525 | + | 209.299i | 0.181925 | + | 0.318567i | ||||
\(658\) | −40.2439 | + | 859.887i | −0.0611609 | + | 1.30682i | ||||
\(659\) | 1084.88 | + | 191.294i | 1.64626 | + | 0.290280i | 0.918461 | − | 0.395512i | \(-0.129433\pi\) |
0.727797 | + | 0.685792i | \(0.240544\pi\) | |||||||
\(660\) | −24.7783 | + | 1.95255i | −0.0375429 | + | 0.00295841i | ||||
\(661\) | 471.148 | + | 171.484i | 0.712781 | + | 0.259431i | 0.672858 | − | 0.739772i | \(-0.265067\pi\) |
0.0399230 | + | 0.999203i | \(0.487289\pi\) | |||||||
\(662\) | 863.961 | − | 658.649i | 1.30508 | − | 0.994938i | ||||
\(663\) | 78.5538 | − | 65.5992i | 0.118482 | − | 0.0989429i | ||||
\(664\) | 278.885 | − | 856.352i | 0.420008 | − | 1.28969i | ||||
\(665\) | −7.58485 | − | 13.1373i | −0.0114058 | − | 0.0197554i | ||||
\(666\) | 845.556 | + | 194.435i | 1.26960 | + | 0.291945i | ||||
\(667\) | −235.934 | − | 136.217i | −0.353724 | − | 0.204223i | ||||
\(668\) | −575.877 | − | 158.181i | −0.862092 | − | 0.236798i | ||||
\(669\) | 116.938 | + | 20.9040i | 0.174795 | + | 0.0312466i | ||||
\(670\) | −21.0695 | − | 8.80472i | −0.0314470 | − | 0.0131414i | ||||
\(671\) | 508.735 | + | 606.287i | 0.758175 | + | 0.903558i | ||||
\(672\) | 314.942 | + | 1065.48i | 0.468664 | + | 1.58554i | ||||
\(673\) | −745.558 | + | 271.361i | −1.10781 | + | 0.403211i | −0.830190 | − | 0.557480i | \(-0.811768\pi\) |
−0.277622 | + | 0.960690i | \(0.589546\pi\) | |||||||
\(674\) | −335.795 | − | 215.408i | −0.498213 | − | 0.319596i | ||||
\(675\) | 634.740 | − | 225.950i | 0.940355 | − | 0.334740i | ||||
\(676\) | 379.618 | + | 827.598i | 0.561565 | + | 1.22426i | ||||
\(677\) | −524.604 | + | 190.940i | −0.774896 | + | 0.282039i | −0.699043 | − | 0.715080i | \(-0.746390\pi\) |
−0.0758531 | + | 0.997119i | \(0.524168\pi\) | |||||||
\(678\) | −696.673 | + | 357.814i | −1.02754 | + | 0.527749i | ||||
\(679\) | 182.991 | + | 218.080i | 0.269501 | + | 0.321179i | ||||
\(680\) | −2.93935 | + | 0.100657i | −0.00432257 | + | 0.000148025i | ||||
\(681\) | 380.018 | + | 1051.81i | 0.558030 | + | 1.54451i | ||||
\(682\) | −0.905813 | − | 2.90458i | −0.00132817 | − | 0.00425892i | ||||
\(683\) | −921.593 | − | 532.082i | −1.34933 | − | 0.779037i | −0.361176 | − | 0.932498i | \(-0.617625\pi\) |
−0.988155 | + | 0.153461i | \(0.950958\pi\) | |||||||
\(684\) | 219.218 | − | 16.7540i | 0.320495 | − | 0.0244942i | ||||
\(685\) | −2.69562 | − | 4.66894i | −0.00393520 | − | 0.00681597i | ||||
\(686\) | 611.679 | + | 564.037i | 0.891660 | + | 0.822211i | ||||
\(687\) | −147.749 | − | 849.648i | −0.215064 | − | 1.23675i | ||||
\(688\) | −358.253 | − | 638.877i | −0.520717 | − | 0.928601i | ||||
\(689\) | −1843.02 | − | 670.803i | −2.67491 | − | 0.973589i | ||||
\(690\) | 37.3376 | + | 15.7066i | 0.0541124 | + | 0.0227632i | ||||
\(691\) | −135.724 | − | 23.9318i | −0.196417 | − | 0.0346336i | 0.0745742 | − | 0.997215i | \(-0.476240\pi\) |
−0.270991 | + | 0.962582i | \(0.587351\pi\) | |||||||
\(692\) | 723.698 | − | 1019.88i | 1.04581 | − | 1.47382i | ||||
\(693\) | −169.883 | − | 990.780i | −0.245141 | − | 1.42970i | ||||
\(694\) | 28.5530 | + | 55.2721i | 0.0411427 | + | 0.0796427i | ||||
\(695\) | −1.20424 | + | 1.43516i | −0.00173272 | + | 0.00206497i | ||||
\(696\) | 42.5989 | + | 203.447i | 0.0612053 | + | 0.292309i | ||||
\(697\) | −6.10685 | − | 34.6337i | −0.00876163 | − | 0.0496897i | ||||
\(698\) | 383.617 | − | 49.2815i | 0.549594 | − | 0.0706039i | ||||
\(699\) | −553.881 | + | 954.141i | −0.792390 | + | 1.36501i | ||||
\(700\) | 821.966 | − | 811.726i | 1.17424 | − | 1.15961i | ||||
\(701\) | 1148.72 | 1.63869 | 0.819347 | − | 0.573298i | \(-0.194336\pi\) | ||||
0.819347 | + | 0.573298i | \(0.194336\pi\) | |||||||
\(702\) | 901.065 | + | 587.067i | 1.28357 | + | 0.836277i | ||||
\(703\) | − | 294.373i | − | 0.418738i | ||||||
\(704\) | −42.2527 | − | 616.202i | −0.0600181 | − | 0.875287i | ||||
\(705\) | 0.0565160 | − | 23.9450i | 8.01645e−5 | − | 0.0339645i | ||||
\(706\) | 523.069 | − | 67.1963i | 0.740891 | − | 0.0951789i | ||||
\(707\) | 538.930 | − | 95.0280i | 0.762278 | − | 0.134410i | ||||
\(708\) | 37.8748 | + | 146.392i | 0.0534955 | + | 0.206768i | ||||
\(709\) | 166.685 | + | 139.866i | 0.235099 | + | 0.197272i | 0.752724 | − | 0.658336i | \(-0.228739\pi\) |
−0.517625 | + | 0.855608i | \(0.673184\pi\) | |||||||
\(710\) | −14.9130 | − | 28.8682i | −0.0210043 | − | 0.0406595i | ||||
\(711\) | −1033.13 | − | 187.202i | −1.45307 | − | 0.263294i | ||||
\(712\) | −882.288 | + | 355.775i | −1.23917 | + | 0.499683i | ||||
\(713\) | −0.861030 | + | 4.88315i | −0.00120762 | + | 0.00684873i | ||||
\(714\) | −14.8777 | − | 118.014i | −0.0208371 | − | 0.165286i | ||||
\(715\) | −14.1084 | + | 38.7625i | −0.0197320 | + | 0.0542133i | ||||
\(716\) | 107.060 | − | 8.69072i | 0.149525 | − | 0.0121379i | ||||
\(717\) | 183.766 | − | 501.208i | 0.256298 | − | 0.699035i | ||||
\(718\) | 424.874 | + | 391.782i | 0.591746 | + | 0.545657i | ||||
\(719\) | 532.823 | − | 307.625i | 0.741061 | − | 0.427852i | −0.0813939 | − | 0.996682i | \(-0.525937\pi\) |
0.822455 | + | 0.568830i | \(0.192604\pi\) | |||||||
\(720\) | −10.0676 | − | 29.2197i | −0.0139828 | − | 0.0405829i | ||||
\(721\) | 307.572 | − | 532.730i | 0.426591 | − | 0.738877i | ||||
\(722\) | 192.742 | + | 618.048i | 0.266956 | + | 0.856023i | ||||
\(723\) | −799.611 | − | 674.175i | −1.10596 | − | 0.932469i | ||||
\(724\) | −948.076 | + | 655.032i | −1.30950 | + | 0.904741i | ||||
\(725\) | 165.558 | − | 138.920i | 0.228356 | − | 0.191613i | ||||
\(726\) | 8.20962 | − | 166.974i | 0.0113080 | − | 0.229992i | ||||
\(727\) | −263.701 | − | 724.511i | −0.362724 | − | 0.996577i | −0.978062 | − | 0.208313i | \(-0.933203\pi\) |
0.615338 | − | 0.788264i | \(-0.289020\pi\) | |||||||
\(728\) | 1825.82 | + | 257.860i | 2.50799 | + | 0.354203i | ||||
\(729\) | 728.927 | + | 10.3233i | 0.999900 | + | 0.0141609i | ||||
\(730\) | −9.67560 | − | 6.20675i | −0.0132542 | − | 0.00850240i | ||||
\(731\) | 26.8203 | + | 73.6881i | 0.0366898 | + | 0.100804i | ||||
\(732\) | −571.397 | + | 801.236i | −0.780597 | + | 1.09458i | ||||
\(733\) | −542.102 | + | 454.878i | −0.739566 | + | 0.620570i | −0.932721 | − | 0.360598i | \(-0.882572\pi\) |
0.193155 | + | 0.981168i | \(0.438128\pi\) | |||||||
\(734\) | 830.139 | + | 346.907i | 1.13098 | + | 0.472625i | ||||
\(735\) | −41.8146 | − | 35.2552i | −0.0568906 | − | 0.0479662i | ||||
\(736\) | −399.730 | + | 923.818i | −0.543112 | + | 1.25519i | ||||
\(737\) | −256.704 | + | 444.625i | −0.348310 | + | 0.603291i | ||||
\(738\) | 329.128 | − | 168.061i | 0.445973 | − | 0.227725i | ||||
\(739\) | 328.811 | − | 189.839i | 0.444940 | − | 0.256887i | −0.260751 | − | 0.965406i | \(-0.583970\pi\) |
0.705691 | + | 0.708520i | \(0.250637\pi\) | |||||||
\(740\) | −40.0365 | + | 10.4592i | −0.0541033 | + | 0.0141341i | ||||
\(741\) | 125.606 | − | 342.581i | 0.169508 | − | 0.462323i | ||||
\(742\) | −1812.82 | + | 1382.02i | −2.44315 | + | 1.86256i | ||||
\(743\) | −410.605 | + | 1128.13i | −0.552631 | + | 1.51834i | 0.277473 | + | 0.960733i | \(0.410503\pi\) |
−0.830104 | + | 0.557608i | \(0.811719\pi\) | |||||||
\(744\) | 3.21439 | − | 1.99503i | 0.00432041 | − | 0.00268149i | ||||
\(745\) | 0.361755 | − | 2.05162i | 0.000485578 | − | 0.00275385i | ||||
\(746\) | −21.9567 | + | 469.146i | −0.0294326 | + | 0.628883i | ||||
\(747\) | −996.963 | − | 180.648i | −1.33462 | − | 0.241831i | ||||
\(748\) | −6.17594 | + | 65.8358i | −0.00825660 | + | 0.0880158i | ||||
\(749\) | −276.396 | − | 231.924i | −0.369020 | − | 0.309644i | ||||
\(750\) | −43.7187 | + | 47.1874i | −0.0582916 | + | 0.0629166i | ||||
\(751\) | −338.515 | + | 59.6894i | −0.450753 | + | 0.0794799i | −0.394416 | − | 0.918932i | \(-0.629053\pi\) |
−0.0563366 | + | 0.998412i | \(0.517942\pi\) | |||||||
\(752\) | 594.987 | + | 7.45919i | 0.791206 | + | 0.00991913i | ||||
\(753\) | −0.906675 | + | 384.145i | −0.00120408 | + | 0.510153i | ||||
\(754\) | 336.555 | + | 75.7198i | 0.446359 | + | 0.100424i | ||||
\(755\) | 20.1608i | 0.0267031i | ||||||||
\(756\) | 1139.78 | − | 513.078i | 1.50764 | − | 0.678675i | ||||
\(757\) | −185.105 | −0.244525 | −0.122262 | − | 0.992498i | \(-0.539015\pi\) | ||||
−0.122262 | + | 0.992498i | \(0.539015\pi\) | |||||||
\(758\) | 10.7819 | − | 47.9226i | 0.0142241 | − | 0.0632225i | ||||
\(759\) | 457.221 | − | 787.632i | 0.602400 | − | 1.03772i | ||||
\(760\) | −8.89623 | + | 5.55063i | −0.0117056 | + | 0.00730346i | ||||
\(761\) | 107.060 | + | 607.165i | 0.140683 | + | 0.797851i | 0.970733 | + | 0.240162i | \(0.0772006\pi\) |
−0.830050 | + | 0.557689i | \(0.811688\pi\) | |||||||
\(762\) | −40.3218 | + | 177.265i | −0.0529157 | + | 0.232631i | ||||
\(763\) | 465.612 | − | 554.894i | 0.610238 | − | 0.727253i | ||||
\(764\) | −84.2308 | + | 897.904i | −0.110250 | + | 1.17527i | ||||
\(765\) | 0.559163 | + | 3.26111i | 0.000730932 | + | 0.00426290i | ||||
\(766\) | −1189.00 | − | 55.6468i | −1.55222 | − | 0.0726460i | ||||
\(767\) | 247.142 | + | 43.5778i | 0.322219 | + | 0.0568160i | ||||
\(768\) | 728.617 | − | 242.778i | 0.948720 | − | 0.316117i | ||||
\(769\) | 120.247 | + | 43.7664i | 0.156368 | + | 0.0569134i | 0.419018 | − | 0.907978i | \(-0.362374\pi\) |
−0.262650 | + | 0.964891i | \(0.584596\pi\) | |||||||
\(770\) | 29.0668 | + | 38.1274i | 0.0377491 | + | 0.0495161i | ||||
\(771\) | 137.577 | + | 791.153i | 0.178440 | + | 1.02614i | ||||
\(772\) | −797.684 | + | 208.389i | −1.03327 | + | 0.269934i | ||||
\(773\) | −156.807 | − | 271.599i | −0.202856 | − | 0.351356i | 0.746592 | − | 0.665283i | \(-0.231689\pi\) |
−0.949447 | + | 0.313926i | \(0.898356\pi\) | |||||||
\(774\) | −657.664 | + | 496.485i | −0.849695 | + | 0.641454i | ||||
\(775\) | −3.40655 | − | 1.96677i | −0.00439555 | − | 0.00253777i | ||||
\(776\) | 146.327 | − | 131.575i | 0.188566 | − | 0.169555i | ||||
\(777\) | −568.682 | − | 1573.99i | −0.731895 | − | 2.02573i | ||||
\(778\) | 255.912 | − | 612.391i | 0.328936 | − | 0.787135i | ||||
\(779\) | −80.5956 | − | 96.0501i | −0.103460 | − | 0.123299i | ||||
\(780\) | −51.0559 | − | 4.91105i | −0.0654562 | − | 0.00629622i | ||||
\(781\) | −686.484 | + | 249.860i | −0.878980 | + | 0.319923i | ||||
\(782\) | 58.1863 | − | 90.7057i | 0.0744071 | − | 0.115992i | ||||
\(783\) | 220.300 | − | 78.4205i | 0.281353 | − | 0.100154i | ||||
\(784\) | 886.617 | − | 1030.12i | 1.13089 | − | 1.31393i | ||||
\(785\) | 27.1889 | − | 9.89596i | 0.0346356 | − | 0.0126063i | ||||
\(786\) | 599.250 | − | 929.326i | 0.762404 | − | 1.18235i | ||||
\(787\) | 335.127 | + | 399.389i | 0.425828 | + | 0.507483i | 0.935714 | − | 0.352760i | \(-0.114757\pi\) |
−0.509886 | + | 0.860242i | \(0.670312\pi\) | |||||||
\(788\) | −414.919 | + | 286.670i | −0.526547 | + | 0.363795i | ||||
\(789\) | 771.001 | + | 137.825i | 0.977188 | + | 0.174684i | ||||
\(790\) | 47.8055 | − | 14.9084i | 0.0605132 | − | 0.0188715i | ||||
\(791\) | 1308.31 | + | 755.352i | 1.65399 | + | 0.954934i | ||||
\(792\) | −680.441 | + | 140.799i | −0.859142 | + | 0.177777i | ||||
\(793\) | 816.627 | + | 1414.44i | 1.02979 | + | 1.78366i | ||||
\(794\) | 115.873 | − | 125.660i | 0.145935 | − | 0.158262i | ||||
\(795\) | 48.6696 | − | 40.6433i | 0.0612197 | − | 0.0511237i | ||||
\(796\) | −297.145 | + | 24.1210i | −0.373297 | + | 0.0303028i | ||||
\(797\) | −260.173 | − | 94.6953i | −0.326441 | − | 0.118815i | 0.173601 | − | 0.984816i | \(-0.444460\pi\) |
−0.500041 | + | 0.866001i | \(0.666682\pi\) | |||||||
\(798\) | −256.315 | − | 337.864i | −0.321197 | − | 0.423389i | ||||
\(799\) | −62.7359 | − | 11.0620i | −0.0785180 | − | 0.0138448i | ||||
\(800\) | −580.210 | − | 548.635i | −0.725262 | − | 0.685794i | ||||
\(801\) | 530.736 | + | 929.366i | 0.662592 | + | 1.16026i | ||||
\(802\) | −299.266 | + | 154.598i | −0.373149 | + | 0.192765i | ||||
\(803\) | −166.129 | + | 197.985i | −0.206885 | + | 0.246556i | ||||
\(804\) | −615.184 | − | 170.540i | −0.765154 | − | 0.212115i | ||||
\(805\) | −13.5678 | − | 76.9470i | −0.0168545 | − | 0.0955864i | ||||
\(806\) | −0.800016 | − | 6.22748i | −0.000992576 | − | 0.00772640i | ||||
\(807\) | −473.306 | − | 824.277i | −0.586501 | − | 1.02141i | ||||
\(808\) | −78.3977 | − | 370.061i | −0.0970268 | − | 0.457996i | ||||
\(809\) | 638.629 | 0.789405 | 0.394702 | − | 0.918809i | \(-0.370848\pi\) | ||||
0.394702 | + | 0.918809i | \(0.370848\pi\) | |||||||
\(810\) | −31.0396 | + | 15.6653i | −0.0383205 | + | 0.0193399i | ||||
\(811\) | 260.263i | 0.320916i | 0.987043 | + | 0.160458i | \(0.0512971\pi\) | ||||
−0.987043 | + | 0.160458i | \(0.948703\pi\) | |||||||
\(812\) | 285.280 | − | 281.726i | 0.351331 | − | 0.346954i | ||||
\(813\) | 457.619 | − | 262.768i | 0.562877 | − | 0.323208i | ||||
\(814\) | 118.545 | + | 922.776i | 0.145633 | + | 1.13363i | ||||
\(815\) | 42.8097 | − | 7.54850i | 0.0525272 | − | 0.00926196i | ||||
\(816\) | −81.1758 | + | 13.0698i | −0.0994801 | + | 0.0160170i | ||||
\(817\) | 214.172 | + | 179.711i | 0.262144 | + | 0.219965i | ||||
\(818\) | 247.203 | − | 127.703i | 0.302204 | − | 0.156116i | ||||
\(819\) | 9.79225 | − | 2074.41i | 0.0119563 | − | 2.53285i | ||||
\(820\) | −10.1998 | + | 14.3742i | −0.0124388 | + | 0.0175295i | ||||
\(821\) | −179.659 | + | 1018.90i | −0.218830 | + | 1.24104i | 0.655307 | + | 0.755363i | \(0.272539\pi\) |
−0.874136 | + | 0.485681i | \(0.838572\pi\) | |||||||
\(822\) | −91.0932 | − | 120.075i | −0.110819 | − | 0.146077i | ||||
\(823\) | −206.443 | + | 567.198i | −0.250842 | + | 0.689183i | 0.748809 | + | 0.662786i | \(0.230626\pi\) |
−0.999652 | + | 0.0263979i | \(0.991596\pi\) | |||||||
\(824\) | −375.302 | − | 199.877i | −0.455463 | − | 0.242569i | ||||
\(825\) | 463.090 | + | 554.542i | 0.561321 | + | 0.672172i | ||||
\(826\) | 197.726 | − | 214.427i | 0.239377 | − | 0.259596i | ||||
\(827\) | −584.555 | + | 337.493i | −0.706838 | + | 0.408093i | −0.809889 | − | 0.586583i | \(-0.800473\pi\) |
0.103051 | + | 0.994676i | \(0.467140\pi\) | |||||||
\(828\) | 1090.54 | + | 305.092i | 1.31708 | + | 0.368468i | ||||
\(829\) | 109.326 | − | 189.359i | 0.131877 | − | 0.228418i | −0.792523 | − | 0.609842i | \(-0.791233\pi\) |
0.924400 | + | 0.381424i | \(0.124566\pi\) | |||||||
\(830\) | 46.1318 | − | 14.3865i | 0.0555805 | − | 0.0173331i | ||||
\(831\) | 8.44346 | − | 47.2331i | 0.0101606 | − | 0.0568388i | ||||
\(832\) | 134.943 | − | 1267.43i | 0.162192 | − | 1.52335i | ||||
\(833\) | −111.465 | + | 93.5303i | −0.133812 | + | 0.112281i | ||||
\(834\) | −28.3833 | + | 44.0173i | −0.0340328 | + | 0.0527786i | ||||
\(835\) | −10.9595 | − | 30.1109i | −0.0131251 | − | 0.0360609i | ||||
\(836\) | 98.2932 | + | 214.287i | 0.117576 | + | 0.256324i | ||||
\(837\) | −2.71260 | − | 3.27963i | −0.00324086 | − | 0.00391832i | ||||
\(838\) | 153.103 | − | 238.670i | 0.182701 | − | 0.284809i | ||||
\(839\) | −257.800 | − | 708.300i | −0.307270 | − | 0.844219i | −0.993186 | − | 0.116538i | \(-0.962820\pi\) |
0.685916 | − | 0.727681i | \(-0.259402\pi\) | |||||||
\(840\) | −36.8445 | + | 46.8649i | −0.0438625 | + | 0.0557916i | ||||
\(841\) | −586.783 | + | 492.369i | −0.697721 | + | 0.585457i | ||||
\(842\) | −82.3929 | + | 197.164i | −0.0978538 | + | 0.234162i | ||||
\(843\) | 898.246 | − | 324.536i | 1.06553 | − | 0.384977i | ||||
\(844\) | −105.618 | − | 29.0111i | −0.125140 | − | 0.0343734i | ||||
\(845\) | −24.4269 | + | 42.3086i | −0.0289075 | + | 0.0500693i | ||||
\(846\) | −82.1604 | − | 664.352i | −0.0971163 | − | 0.785286i | ||||
\(847\) | −279.266 | + | 161.234i | −0.329711 | + | 0.190359i | ||||
\(848\) | 997.626 | + | 1219.65i | 1.17645 | + | 1.43827i | ||||
\(849\) | −608.780 | + | 105.863i | −0.717056 | + | 0.124692i | ||||
\(850\) | 51.8298 | + | 67.9860i | 0.0609762 | + | 0.0799835i | ||||
\(851\) | 518.577 | − | 1424.78i | 0.609374 | − | 1.67424i | ||||
\(852\) | −514.581 | − | 748.562i | −0.603968 | − | 0.878594i | ||||
\(853\) | 198.372 | − | 1125.02i | 0.232558 | − | 1.31890i | −0.615138 | − | 0.788419i | \(-0.710900\pi\) |
0.847696 | − | 0.530482i | \(-0.177989\pi\) | |||||||
\(854\) | 1896.19 | + | 88.7443i | 2.22036 | + | 0.103916i | ||||
\(855\) | 7.53993 | + | 9.07237i | 0.00881863 | + | 0.0106110i | ||||
\(856\) | −153.681 | + | 196.429i | −0.179534 | + | 0.229473i | ||||
\(857\) | −226.349 | − | 189.929i | −0.264117 | − | 0.221621i | 0.501106 | − | 0.865386i | \(-0.332927\pi\) |
−0.765223 | + | 0.643765i | \(0.777371\pi\) | |||||||
\(858\) | −255.780 | + | 1124.48i | −0.298112 | + | 1.31058i | ||||
\(859\) | −156.184 | + | 27.5395i | −0.181821 | + | 0.0320600i | −0.263817 | − | 0.964573i | \(-0.584982\pi\) |
0.0819961 | + | 0.996633i | \(0.473870\pi\) | |||||||
\(860\) | 16.8322 | − | 35.5138i | 0.0195723 | − | 0.0412952i | ||||
\(861\) | −616.492 | − | 357.875i | −0.716019 | − | 0.415650i | ||||
\(862\) | −245.936 | + | 1093.12i | −0.285308 | + | 1.26812i | ||||
\(863\) | 222.807i | 0.258177i | 0.991633 | + | 0.129089i | \(0.0412052\pi\) | ||||
−0.991633 | + | 0.129089i | \(0.958795\pi\) | |||||||
\(864\) | −381.413 | − | 775.255i | −0.441451 | − | 0.897286i | ||||
\(865\) | 67.0992 | 0.0775713 | ||||||||
\(866\) | −744.957 | − | 167.604i | −0.860228 | − | 0.193538i | ||||
\(867\) | −858.195 | − | 2.02555i | −0.989844 | − | 0.00233627i | ||||
\(868\) | −6.59426 | − | 3.12542i | −0.00759707 | − | 0.00360072i | ||||
\(869\) | −195.506 | − | 1108.77i | −0.224978 | − | 1.27592i | ||||
\(870\) | −7.57974 | + | 8.18113i | −0.00871234 | + | 0.00940360i | ||||
\(871\) | −681.021 | + | 811.609i | −0.781884 | + | 0.931813i | ||||
\(872\) | −394.352 | − | 308.531i | −0.452239 | − | 0.353820i | ||||
\(873\) | −168.914 | − | 143.100i | −0.193487 | − | 0.163918i | ||||
\(874\) | 17.9620 | − | 383.793i | 0.0205515 | − | 0.439122i | ||||
\(875\) | 122.197 | + | 21.5465i | 0.139653 | + | 0.0246246i | ||||
\(876\) | −290.072 | − | 138.322i | −0.331132 | − | 0.157902i | ||||
\(877\) | −443.850 | − | 161.548i | −0.506100 | − | 0.184205i | 0.0763355 | − | 0.997082i | \(-0.475678\pi\) |
−0.582436 | + | 0.812877i | \(0.697900\pi\) | |||||||
\(878\) | −768.612 | + | 585.959i | −0.875412 | + | 0.667379i | ||||
\(879\) | −272.542 | − | 99.9264i | −0.310060 | − | 0.113682i | ||||
\(880\) | 25.6519 | − | 20.9822i | 0.0291499 | − | 0.0238434i | ||||
\(881\) | 40.2626 | + | 69.7369i | 0.0457010 | + | 0.0791565i | 0.887971 | − | 0.459899i | \(-0.152115\pi\) |
−0.842270 | + | 0.539056i | \(0.818781\pi\) | |||||||
\(882\) | −1283.07 | − | 831.648i | −1.45473 | − | 0.942912i | ||||
\(883\) | 820.367 | + | 473.639i | 0.929068 | + | 0.536398i | 0.886517 | − | 0.462696i | \(-0.153118\pi\) |
0.0425516 | + | 0.999094i | \(0.486451\pi\) | |||||||
\(884\) | −36.1430 | + | 131.583i | −0.0408857 | + | 0.148849i | ||||
\(885\) | −5.22979 | + | 6.20283i | −0.00590937 | + | 0.00700885i | ||||
\(886\) | 581.449 | + | 242.982i | 0.656264 | + | 0.274246i | ||||
\(887\) | 422.053 | + | 502.984i | 0.475821 | + | 0.567062i | 0.949553 | − | 0.313608i | \(-0.101538\pi\) |
−0.473731 | + | 0.880669i | \(0.657093\pi\) | |||||||
\(888\) | −1073.91 | + | 430.099i | −1.20935 | + | 0.484345i | ||||
\(889\) | 329.516 | − | 119.934i | 0.370659 | − | 0.134909i | ||||
\(890\) | −42.9634 | − | 27.5604i | −0.0482734 | − | 0.0309667i | ||||
\(891\) | 260.415 | + | 737.061i | 0.292272 | + | 0.827229i | ||||
\(892\) | −143.966 | + | 66.0368i | −0.161396 | + | 0.0740323i | ||||
\(893\) | −213.426 | + | 77.6806i | −0.238999 | + | 0.0869884i | ||||
\(894\) | 2.86005 | − | 58.1700i | 0.00319916 | − | 0.0650671i | ||||
\(895\) | 3.70454 | + | 4.41490i | 0.00413915 | + | 0.00493285i | ||||
\(896\) | −1155.21 | − | 927.388i | −1.28930 | − | 1.03503i | ||||
\(897\) | 1211.44 | − | 1436.84i | 1.35055 | − | 1.60182i | ||||
\(898\) | −486.254 | − | 1559.22i | −0.541486 | − | 1.73633i | ||||
\(899\) | −1.18231 | − | 0.682610i | −0.00131514 | − | 0.000759299i | ||||
\(900\) | −523.323 | + | 730.172i | −0.581470 | + | 0.811302i | ||||
\(901\) | −84.3460 | − | 146.092i | −0.0936138 | − | 0.162144i | ||||
\(902\) | 291.324 | + | 268.634i | 0.322976 | + | 0.297820i | ||||
\(903\) | 1492.33 | + | 547.157i | 1.65264 | + | 0.605933i | ||||
\(904\) | 490.869 | − | 921.688i | 0.542997 | − | 1.01957i | ||||
\(905\) | −58.1010 | − | 21.1471i | −0.0642001 | − | 0.0233669i | ||||
\(906\) | 70.4959 | + | 559.194i | 0.0778101 | + | 0.617212i | ||||
\(907\) | 1463.07 | + | 257.979i | 1.61309 | + | 0.284431i | 0.906185 | − | 0.422881i | \(-0.138981\pi\) |
0.706902 | + | 0.707312i | \(0.250092\pi\) | |||||||
\(908\) | −1216.08 | − | 862.921i | −1.33930 | − | 0.950354i | ||||
\(909\) | −400.577 | + | 143.660i | −0.440678 | + | 0.158042i | ||||
\(910\) | 45.4088 | + | 87.9010i | 0.0498998 | + | 0.0965945i | ||||
\(911\) | −654.039 | + | 779.454i | −0.717936 | + | 0.855603i | −0.994428 | − | 0.105413i | \(-0.966383\pi\) |
0.276493 | + | 0.961016i | \(0.410828\pi\) | |||||||
\(912\) | −227.343 | + | 185.063i | −0.249280 | + | 0.202920i | ||||
\(913\) | −188.662 | − | 1069.95i | −0.206639 | − | 1.17191i | ||||
\(914\) | −101.862 | + | 13.0857i | −0.111446 | + | 0.0143170i | ||||
\(915\) | −52.8026 | − | 0.124627i | −0.0577078 | − | 0.000136204i | ||||
\(916\) | 807.965 | + | 818.158i | 0.882058 | + | 0.893186i | ||||
\(917\) | −2132.96 | −2.32602 | ||||||||
\(918\) | 26.9124 | + | 88.4973i | 0.0293163 | + | 0.0964022i | ||||
\(919\) | 320.861i | 0.349141i | 0.984645 | + | 0.174571i | \(0.0558537\pi\) | ||||
−0.984645 | + | 0.174571i | \(0.944146\pi\) | |||||||
\(920\) | −52.8363 | + | 11.1934i | −0.0574307 | + | 0.0121667i | ||||
\(921\) | −701.621 | − | 407.292i | −0.761803 | − | 0.442228i | ||||
\(922\) | −1180.81 | + | 151.693i | −1.28071 | + | 0.164526i | ||||
\(923\) | −1484.65 | + | 261.785i | −1.60851 | + | 0.283624i | ||||
\(924\) | 939.535 | + | 955.890i | 1.01681 | + | 1.03451i | ||||
\(925\) | 921.408 | + | 773.153i | 0.996117 | + | 0.835841i | ||||
\(926\) | −396.222 | − | 766.995i | −0.427886 | − | 0.828289i | ||||
\(927\) | −165.729 | + | 448.734i | −0.178780 | + | 0.484071i | ||||
\(928\) | −201.374 | − | 190.415i | −0.216998 | − | 0.205189i | ||||
\(929\) | −57.4894 | + | 326.039i | −0.0618831 | + | 0.350957i | 0.938106 | + | 0.346348i | \(0.112578\pi\) |
−0.999989 | + | 0.00460898i | \(0.998533\pi\) | |||||||
\(930\) | 0.187107 | + | 0.0787092i | 0.000201190 | + | 8.46336e-5i | ||||
\(931\) | −177.433 | + | 487.492i | −0.190583 | + | 0.523622i | ||||
\(932\) | −119.019 | − | 1466.18i | −0.127703 | − | 1.57316i | ||||
\(933\) | −57.0257 | + | 9.91645i | −0.0611208 | + | 0.0106286i | ||||
\(934\) | −1110.66 | − | 1024.15i | −1.18914 | − | 1.09652i | ||||
\(935\) | −3.07262 | + | 1.77398i | −0.00328622 | + | 0.00189730i | ||||
\(936\) | −1433.29 | + | 42.3098i | −1.53130 | + | 0.0452027i | ||||
\(937\) | −663.749 | + | 1149.65i | −0.708376 | + | 1.22694i | 0.257083 | + | 0.966389i | \(0.417239\pi\) |
−0.965459 | + | 0.260554i | \(0.916095\pi\) | |||||||
\(938\) | 366.604 | + | 1175.55i | 0.390836 | + | 1.25326i | ||||
\(939\) | −1369.77 | + | 494.898i | −1.45876 | + | 0.527048i | ||||
\(940\) | 18.1481 | + | 26.2671i | 0.0193065 | + | 0.0279438i | ||||
\(941\) | 292.985 | − | 245.844i | 0.311355 | − | 0.261258i | −0.473697 | − | 0.880688i | \(-0.657081\pi\) |
0.785052 | + | 0.619430i | \(0.212636\pi\) | |||||||
\(942\) | 719.527 | − | 369.552i | 0.763830 | − | 0.392306i | ||||
\(943\) | −220.881 | − | 606.867i | −0.234233 | − | 0.643549i | ||||
\(944\) | −152.810 | − | 131.522i | −0.161875 | − | 0.139324i | ||||
\(945\) | 57.8418 | + | 33.9433i | 0.0612083 | + | 0.0359189i | ||||
\(946\) | −743.738 | − | 477.097i | −0.786192 | − | 0.504331i | ||||
\(947\) | 108.937 | + | 299.302i | 0.115034 | + | 0.316053i | 0.983827 | − | 0.179123i | \(-0.0573260\pi\) |
−0.868793 | + | 0.495176i | \(0.835104\pi\) | |||||||
\(948\) | 1273.83 | − | 580.671i | 1.34371 | − | 0.612522i | ||||
\(949\) | −408.565 | + | 342.827i | −0.430522 | + | 0.361251i | ||||
\(950\) | 281.227 | + | 117.522i | 0.296029 | + | 0.123707i | ||||
\(951\) | 289.461 | − | 1619.26i | 0.304375 | − | 1.70269i | ||||
\(952\) | 106.043 | + | 117.933i | 0.111390 | + | 0.123879i | ||||
\(953\) | 61.8869 | − | 107.191i | 0.0649391 | − | 0.112478i | −0.831728 | − | 0.555183i | \(-0.812648\pi\) |
0.896667 | + | 0.442706i | \(0.145981\pi\) | |||||||
\(954\) | 1207.82 | − | 1297.49i | 1.26606 | − | 1.36005i | ||||
\(955\) | −41.9060 | + | 24.1944i | −0.0438806 | + | 0.0253345i | ||||
\(956\) | 179.909 | + | 688.668i | 0.188189 | + | 0.720364i | ||||
\(957\) | 160.725 | + | 192.465i | 0.167947 | + | 0.201113i | ||||
\(958\) | 938.677 | − | 715.610i | 0.979830 | − | 0.746983i | ||||
\(959\) | −99.4332 | + | 273.190i | −0.103684 | + | 0.284870i | ||||
\(960\) | 33.2473 | + | 24.3446i | 0.0346326 | + | 0.0253590i | ||||
\(961\) | 166.872 | − | 946.376i | 0.173644 | − | 0.984782i | ||||
\(962\) | −89.7560 | + | 1917.81i | −0.0933015 | + | 1.99356i | ||||
\(963\) | 242.324 | + | 141.435i | 0.251634 | + | 0.146869i | ||||
\(964\) | 1388.43 | + | 130.246i | 1.44028 | + | 0.135110i | ||||
\(965\) | −33.8871 | − | 28.4346i | −0.0351161 | − | 0.0294659i | ||||
\(966\) | −645.386 | − | 2086.81i | −0.668101 | − | 2.16026i | ||||
\(967\) | 59.4973 | − | 10.4910i | 0.0615277 | − | 0.0108490i | −0.142800 | − | 0.989752i | \(-0.545610\pi\) |
0.204327 | + | 0.978903i | \(0.434499\pi\) | |||||||
\(968\) | 117.992 | + | 189.111i | 0.121892 | + | 0.195362i | ||||
\(969\) | 27.2160 | − | 15.6276i | 0.0280867 | − | 0.0161276i | ||||
\(970\) | 10.3010 | + | 2.31757i | 0.0106196 | + | 0.00238924i | ||||
\(971\) | 670.687i | 0.690718i | 0.938471 | + | 0.345359i | \(0.112243\pi\) | ||||
−0.938471 | + | 0.345359i | \(0.887757\pi\) | |||||||
\(972\) | −806.159 | + | 543.039i | −0.829382 | + | 0.558682i | ||||
\(973\) | 101.027 | 0.103830 | ||||||||
\(974\) | 208.166 | − | 925.244i | 0.213723 | − | 0.949943i | ||||
\(975\) | 742.406 | + | 1292.92i | 0.761442 | + | 1.32607i | ||||
\(976\) | 16.4487 | − | 1312.04i | 0.0168532 | − | 1.34431i | ||||
\(977\) | 123.095 | + | 698.106i | 0.125993 | + | 0.714540i | 0.980713 | + | 0.195452i | \(0.0626173\pi\) |
−0.854721 | + | 0.519088i | \(0.826272\pi\) | |||||||
\(978\) | 1161.00 | − | 359.062i | 1.18712 | − | 0.367139i | ||||
\(979\) | −737.676 | + | 879.128i | −0.753500 | + | 0.897986i | ||||
\(980\) | 72.6060 | + | 6.81104i | 0.0740878 | + | 0.00695004i | ||||
\(981\) | −283.946 | + | 486.491i | −0.289446 | + | 0.495913i | ||||
\(982\) | −568.193 | − | 26.5922i | −0.578608 | − | 0.0270796i | ||||
\(983\) | 668.074 | + | 117.799i | 0.679628 | + | 0.119837i | 0.502797 | − | 0.864405i | \(-0.332304\pi\) |
0.176831 | + | 0.984241i | \(0.443415\pi\) | |||||||
\(984\) | −232.646 | + | 434.357i | −0.236429 | + | 0.441420i | ||||
\(985\) | −25.4275 | − | 9.25486i | −0.0258147 | − | 0.00939579i | ||||
\(986\) | 17.9886 | + | 23.5959i | 0.0182440 | + | 0.0239310i | ||||
\(987\) | −991.105 | + | 827.658i | −1.00416 | + | 0.838559i | ||||
\(988\) | 122.970 | + | 470.711i | 0.124463 | + | 0.476429i | ||||
\(989\) | 720.015 | + | 1247.10i | 0.728023 | + | 1.26097i | ||||
\(990\) | −27.2890 | − | 25.4030i | −0.0275647 | − | 0.0256595i | ||||
\(991\) | 1062.37 | + | 613.362i | 1.07202 | + | 0.618932i | 0.928733 | − | 0.370749i | \(-0.120899\pi\) |
0.143289 | + | 0.989681i | \(0.454232\pi\) | |||||||
\(992\) | −2.00313 | + | 4.62945i | −0.00201929 | + | 0.00466678i | ||||
\(993\) | 1604.16 | + | 286.762i | 1.61547 | + | 0.288783i | ||||
\(994\) | −675.598 | + | 1616.69i | −0.679676 | + | 1.62645i | ||||
\(995\) | −10.2819 | − | 12.2535i | −0.0103336 | − | 0.0123151i | ||||
\(996\) | 1229.24 | − | 560.342i | 1.23417 | − | 0.562593i | ||||
\(997\) | 1118.16 | − | 406.977i | 1.12152 | − | 0.408202i | 0.286316 | − | 0.958135i | \(-0.407569\pi\) |
0.835209 | + | 0.549933i | \(0.185347\pi\) | |||||||
\(998\) | 405.642 | − | 632.349i | 0.406455 | − | 0.633616i | ||||
\(999\) | 642.721 | + | 1131.66i | 0.643364 | + | 1.13279i |
(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 | 108.3.j.a.7.2 | ✓ | 204 | |
3.2 | odd | 2 | 324.3.j.a.19.33 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.7.9 | yes | 204 | |
12.11 | even | 2 | 324.3.j.a.19.26 | 204 | |||
27.4 | even | 9 | inner | 108.3.j.a.31.9 | yes | 204 | |
27.23 | odd | 18 | 324.3.j.a.307.26 | 204 | |||
108.23 | even | 18 | 324.3.j.a.307.33 | 204 | |||
108.31 | odd | 18 | inner | 108.3.j.a.31.2 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.2 | ✓ | 204 | 1.1 | even | 1 | trivial | |
108.3.j.a.7.9 | yes | 204 | 4.3 | odd | 2 | inner | |
108.3.j.a.31.2 | yes | 204 | 108.31 | odd | 18 | inner | |
108.3.j.a.31.9 | yes | 204 | 27.4 | even | 9 | inner | |
324.3.j.a.19.26 | 204 | 12.11 | even | 2 | |||
324.3.j.a.19.33 | 204 | 3.2 | odd | 2 | |||
324.3.j.a.307.26 | 204 | 27.23 | odd | 18 | |||
324.3.j.a.307.33 | 204 | 108.23 | even | 18 |