Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.12 | ||
Character | \(\chi\) | \(=\) | 210.17 |
Dual form | 210.3.w.b.173.12 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.683013 | + | 0.183013i | ||||
\(3\) | 2.23964 | + | 1.99599i | 0.746548 | + | 0.665332i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −2.72423 | + | 4.19268i | −0.544847 | + | 0.838536i | ||||
\(6\) | 2.32883 | + | 3.54635i | 0.388138 | + | 0.591058i | ||||
\(7\) | −5.35730 | − | 4.50548i | −0.765329 | − | 0.643640i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | 1.03201 | + | 8.94064i | 0.114668 | + | 0.993404i | ||||
\(10\) | −5.25600 | + | 4.73017i | −0.525600 | + | 0.473017i | ||||
\(11\) | 8.15539 | + | 4.70851i | 0.741399 | + | 0.428047i | 0.822578 | − | 0.568653i | \(-0.192535\pi\) |
−0.0811789 | + | 0.996700i | \(0.525869\pi\) | |||||||
\(12\) | 1.88318 | + | 5.69681i | 0.156932 | + | 0.474734i | ||||
\(13\) | 16.1515 | + | 16.1515i | 1.24243 | + | 1.24243i | 0.958991 | + | 0.283436i | \(0.0914742\pi\) |
0.283436 | + | 0.958991i | \(0.408526\pi\) | |||||||
\(14\) | −5.66909 | − | 8.11550i | −0.404935 | − | 0.579679i | ||||
\(15\) | −14.4699 | + | 3.95255i | −0.964658 | + | 0.263504i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | −9.03315 | + | 2.42042i | −0.531362 | + | 0.142378i | −0.514517 | − | 0.857480i | \(-0.672029\pi\) |
−0.0168447 | + | 0.999858i | \(0.505362\pi\) | |||||||
\(18\) | −1.86275 | + | 12.5909i | −0.103486 | + | 0.699493i | ||||
\(19\) | −13.1762 | − | 22.8218i | −0.693482 | − | 1.20115i | −0.970690 | − | 0.240336i | \(-0.922742\pi\) |
0.277208 | − | 0.960810i | \(-0.410591\pi\) | |||||||
\(20\) | −8.91119 | + | 4.53770i | −0.445559 | + | 0.226885i | ||||
\(21\) | −3.00554 | − | 20.7838i | −0.143121 | − | 0.989705i | ||||
\(22\) | 9.41703 | + | 9.41703i | 0.428047 | + | 0.428047i | ||||
\(23\) | 6.16910 | − | 23.0234i | 0.268222 | − | 1.00102i | −0.692027 | − | 0.721872i | \(-0.743282\pi\) |
0.960249 | − | 0.279146i | \(-0.0900513\pi\) | |||||||
\(24\) | 0.487298 | + | 8.47128i | 0.0203041 | + | 0.352970i | ||||
\(25\) | −10.1571 | − | 22.8437i | −0.406284 | − | 0.913747i | ||||
\(26\) | 16.1515 | + | 27.9753i | 0.621213 | + | 1.07597i | ||||
\(27\) | −15.5341 | + | 22.0837i | −0.575338 | + | 0.817916i | ||||
\(28\) | −4.77364 | − | 13.1610i | −0.170487 | − | 0.470036i | ||||
\(29\) | 34.0152 | 1.17294 | 0.586470 | − | 0.809971i | \(-0.300517\pi\) | ||||
0.586470 | + | 0.809971i | \(0.300517\pi\) | |||||||
\(30\) | −21.2130 | + | 0.102945i | −0.707098 | + | 0.00343150i | ||||
\(31\) | 2.88724 | + | 1.66695i | 0.0931366 | + | 0.0537724i | 0.545845 | − | 0.837886i | \(-0.316209\pi\) |
−0.452708 | + | 0.891659i | \(0.649542\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.0457532 | + | 0.170753i | ||||
\(33\) | 8.86699 | + | 26.8235i | 0.268697 | + | 0.812834i | ||||
\(34\) | −13.2254 | −0.388984 | ||||||||
\(35\) | 33.4846 | − | 10.1875i | 0.956702 | − | 0.291071i | ||||
\(36\) | −7.15314 | + | 16.5176i | −0.198698 | + | 0.458823i | ||||
\(37\) | 12.3909 | − | 46.2436i | 0.334890 | − | 1.24983i | −0.569098 | − | 0.822270i | \(-0.692708\pi\) |
0.903988 | − | 0.427557i | \(-0.140626\pi\) | |||||||
\(38\) | −9.64561 | − | 35.9979i | −0.253832 | − | 0.947314i | ||||
\(39\) | 3.93531 | + | 68.4121i | 0.100905 | + | 1.75416i | ||||
\(40\) | −13.8338 | + | 2.93689i | −0.345846 | + | 0.0734223i | ||||
\(41\) | 3.31953 | 0.0809641 | 0.0404820 | − | 0.999180i | \(-0.487111\pi\) | ||||
0.0404820 | + | 0.999180i | \(0.487111\pi\) | |||||||
\(42\) | 3.50176 | − | 29.4913i | 0.0833752 | − | 0.702174i | ||||
\(43\) | 28.9282 | − | 28.9282i | 0.672749 | − | 0.672749i | −0.285600 | − | 0.958349i | \(-0.592193\pi\) |
0.958349 | + | 0.285600i | \(0.0921928\pi\) | |||||||
\(44\) | 9.41703 | + | 16.3108i | 0.214023 | + | 0.370699i | ||||
\(45\) | −40.2966 | − | 20.0295i | −0.895481 | − | 0.445100i | ||||
\(46\) | 16.8543 | − | 29.1925i | 0.366398 | − | 0.634620i | ||||
\(47\) | 0.830153 | − | 3.09817i | 0.0176628 | − | 0.0659186i | −0.956532 | − | 0.291628i | \(-0.905803\pi\) |
0.974195 | + | 0.225709i | \(0.0724699\pi\) | |||||||
\(48\) | −2.43504 | + | 11.7503i | −0.0507300 | + | 0.244799i | ||||
\(49\) | 8.40136 | + | 48.2744i | 0.171456 | + | 0.985192i | ||||
\(50\) | −5.51351 | − | 34.9228i | −0.110270 | − | 0.698456i | ||||
\(51\) | −25.0622 | − | 12.6092i | −0.491416 | − | 0.247240i | ||||
\(52\) | 11.8238 | + | 44.1269i | 0.227380 | + | 0.848593i | ||||
\(53\) | −56.7679 | + | 15.2109i | −1.07109 | + | 0.286998i | −0.750942 | − | 0.660368i | \(-0.770400\pi\) |
−0.320151 | + | 0.947367i | \(0.603734\pi\) | |||||||
\(54\) | −29.3032 | + | 24.4810i | −0.542652 | + | 0.453353i | ||||
\(55\) | −41.9585 | + | 21.3658i | −0.762881 | + | 0.388470i | ||||
\(56\) | −1.70365 | − | 19.7256i | −0.0304223 | − | 0.352242i | ||||
\(57\) | 16.0422 | − | 77.4122i | 0.281443 | − | 1.35811i | ||||
\(58\) | 46.4657 | + | 12.4504i | 0.801133 | + | 0.214663i | ||||
\(59\) | 33.5947 | + | 19.3959i | 0.569402 | + | 0.328744i | 0.756910 | − | 0.653519i | \(-0.226708\pi\) |
−0.187508 | + | 0.982263i | \(0.560041\pi\) | |||||||
\(60\) | −29.0151 | − | 7.62385i | −0.483585 | − | 0.127064i | ||||
\(61\) | 80.5416 | − | 46.5007i | 1.32035 | − | 0.762307i | 0.336569 | − | 0.941659i | \(-0.390733\pi\) |
0.983785 | + | 0.179352i | \(0.0574002\pi\) | |||||||
\(62\) | 3.33389 | + | 3.33389i | 0.0537724 | + | 0.0537724i | ||||
\(63\) | 34.7530 | − | 52.5474i | 0.551635 | − | 0.834085i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | −111.719 | + | 23.7177i | −1.71875 | + | 0.364887i | ||||
\(66\) | 2.29445 | + | 39.8871i | 0.0347644 | + | 0.604351i | ||||
\(67\) | 3.66385 | − | 0.981726i | 0.0546844 | − | 0.0146526i | −0.231373 | − | 0.972865i | \(-0.574322\pi\) |
0.286058 | + | 0.958212i | \(0.407655\pi\) | |||||||
\(68\) | −18.0663 | − | 4.84085i | −0.265681 | − | 0.0711890i | ||||
\(69\) | 59.7712 | − | 39.2507i | 0.866249 | − | 0.568851i | ||||
\(70\) | 49.4696 | − | 1.66015i | 0.706709 | − | 0.0237165i | ||||
\(71\) | − | 26.4798i | − | 0.372956i | −0.982459 | − | 0.186478i | \(-0.940293\pi\) | ||
0.982459 | − | 0.186478i | \(-0.0597072\pi\) | |||||||
\(72\) | −15.8173 | + | 19.9453i | −0.219684 | + | 0.277018i | ||||
\(73\) | 27.3096 | − | 7.31758i | 0.374104 | − | 0.100241i | −0.0668679 | − | 0.997762i | \(-0.521301\pi\) |
0.440972 | + | 0.897521i | \(0.354634\pi\) | |||||||
\(74\) | 33.8527 | − | 58.6345i | 0.457468 | − | 0.792358i | ||||
\(75\) | 22.8475 | − | 71.4352i | 0.304634 | − | 0.952470i | ||||
\(76\) | − | 52.7046i | − | 0.693482i | ||||||
\(77\) | −22.4768 | − | 61.9688i | −0.291906 | − | 0.804790i | ||||
\(78\) | −19.6648 | + | 94.8931i | −0.252113 | + | 1.21658i | ||||
\(79\) | 38.5758 | − | 22.2717i | 0.488301 | − | 0.281921i | −0.235568 | − | 0.971858i | \(-0.575695\pi\) |
0.723869 | + | 0.689937i | \(0.242362\pi\) | |||||||
\(80\) | −19.9723 | − | 1.05166i | −0.249654 | − | 0.0131458i | ||||
\(81\) | −78.8699 | + | 18.4536i | −0.973703 | + | 0.227823i | ||||
\(82\) | 4.53456 | + | 1.21503i | 0.0552995 | + | 0.0148175i | ||||
\(83\) | −70.6898 | + | 70.6898i | −0.851684 | + | 0.851684i | −0.990341 | − | 0.138656i | \(-0.955722\pi\) |
0.138656 | + | 0.990341i | \(0.455722\pi\) | |||||||
\(84\) | 15.5781 | − | 39.0042i | 0.185453 | − | 0.464335i | ||||
\(85\) | 14.4603 | − | 44.4669i | 0.170122 | − | 0.523140i | ||||
\(86\) | 50.1051 | − | 28.9282i | 0.582618 | − | 0.336375i | ||||
\(87\) | 76.1820 | + | 67.8943i | 0.875656 | + | 0.780394i | ||||
\(88\) | 6.89374 | + | 25.7278i | 0.0783380 | + | 0.292361i | ||||
\(89\) | −118.139 | + | 68.2077i | −1.32741 | + | 0.766378i | −0.984898 | − | 0.173136i | \(-0.944610\pi\) |
−0.342509 | + | 0.939515i | \(0.611277\pi\) | |||||||
\(90\) | −47.7149 | − | 42.1104i | −0.530166 | − | 0.467893i | ||||
\(91\) | −13.7583 | − | 159.299i | −0.151190 | − | 1.75054i | ||||
\(92\) | 33.7086 | − | 33.7086i | 0.366398 | − | 0.366398i | ||||
\(93\) | 3.13916 | + | 9.49627i | 0.0337544 | + | 0.102110i | ||||
\(94\) | 2.26802 | − | 3.92833i | 0.0241279 | − | 0.0417907i | ||||
\(95\) | 131.579 | + | 6.92843i | 1.38504 | + | 0.0729309i | ||||
\(96\) | −7.62725 | + | 15.1600i | −0.0794505 | + | 0.157916i | ||||
\(97\) | −118.552 | + | 118.552i | −1.22219 | + | 1.22219i | −0.255332 | + | 0.966853i | \(0.582185\pi\) |
−0.966853 | + | 0.255332i | \(0.917815\pi\) | |||||||
\(98\) | −6.19318 | + | 69.0192i | −0.0631958 | + | 0.704277i | ||||
\(99\) | −33.6807 | + | 77.7736i | −0.340209 | + | 0.785592i | ||||
\(100\) | 5.25104 | − | 49.7235i | 0.0525104 | − | 0.497235i | ||||
\(101\) | 18.5919 | − | 32.2022i | 0.184078 | − | 0.318833i | −0.759187 | − | 0.650872i | \(-0.774403\pi\) |
0.943266 | + | 0.332039i | \(0.107737\pi\) | |||||||
\(102\) | −29.6203 | − | 26.3979i | −0.290395 | − | 0.258803i | ||||
\(103\) | 8.29623 | − | 30.9619i | 0.0805459 | − | 0.300601i | −0.913888 | − | 0.405967i | \(-0.866935\pi\) |
0.994434 | + | 0.105366i | \(0.0336014\pi\) | |||||||
\(104\) | 64.6062i | 0.621213i | ||||||||
\(105\) | 95.3276 | + | 44.0187i | 0.907882 | + | 0.419225i | ||||
\(106\) | −83.1140 | −0.784094 | ||||||||
\(107\) | −172.109 | − | 46.1165i | −1.60850 | − | 0.430995i | −0.660902 | − | 0.750472i | \(-0.729826\pi\) |
−0.947594 | + | 0.319477i | \(0.896493\pi\) | |||||||
\(108\) | −48.9896 | + | 22.7160i | −0.453608 | + | 0.210333i | ||||
\(109\) | 8.16589 | + | 4.71458i | 0.0749165 | + | 0.0432530i | 0.536990 | − | 0.843588i | \(-0.319561\pi\) |
−0.462074 | + | 0.886841i | \(0.652894\pi\) | |||||||
\(110\) | −65.1368 | + | 13.8284i | −0.592152 | + | 0.125713i | ||||
\(111\) | 120.053 | − | 78.8369i | 1.08156 | − | 0.710243i | ||||
\(112\) | 4.89283 | − | 27.5692i | 0.0436859 | − | 0.246153i | ||||
\(113\) | −89.8897 | − | 89.8897i | −0.795485 | − | 0.795485i | 0.186895 | − | 0.982380i | \(-0.440157\pi\) |
−0.982380 | + | 0.186895i | \(0.940157\pi\) | |||||||
\(114\) | 50.2489 | − | 99.8751i | 0.440780 | − | 0.876097i | ||||
\(115\) | 79.7237 | + | 88.5862i | 0.693249 | + | 0.770315i | ||||
\(116\) | 58.9161 | + | 34.0152i | 0.507898 | + | 0.293235i | ||||
\(117\) | −127.737 | + | 161.074i | −1.09177 | + | 1.37670i | ||||
\(118\) | 38.7918 | + | 38.7918i | 0.328744 | + | 0.328744i | ||||
\(119\) | 59.2985 | + | 27.7317i | 0.498306 | + | 0.233039i | ||||
\(120\) | −36.8449 | − | 21.0346i | −0.307040 | − | 0.175289i | ||||
\(121\) | −16.1598 | − | 27.9896i | −0.133552 | − | 0.231319i | ||||
\(122\) | 127.042 | − | 34.0409i | 1.04133 | − | 0.279024i | ||||
\(123\) | 7.43456 | + | 6.62576i | 0.0604436 | + | 0.0538680i | ||||
\(124\) | 3.33389 | + | 5.77447i | 0.0268862 | + | 0.0465683i | ||||
\(125\) | 123.446 | + | 19.6460i | 0.987572 | + | 0.157168i | ||||
\(126\) | 66.7072 | − | 59.0606i | 0.529422 | − | 0.468735i | ||||
\(127\) | −25.5424 | − | 25.5424i | −0.201122 | − | 0.201122i | 0.599359 | − | 0.800480i | \(-0.295422\pi\) |
−0.800480 | + | 0.599359i | \(0.795422\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | 122.529 | − | 7.04834i | 0.949841 | − | 0.0546383i | ||||
\(130\) | −161.292 | − | 8.49299i | −1.24071 | − | 0.0653307i | ||||
\(131\) | 73.8696 | + | 127.946i | 0.563890 | + | 0.976686i | 0.997152 | + | 0.0754183i | \(0.0240292\pi\) |
−0.433262 | + | 0.901268i | \(0.642637\pi\) | |||||||
\(132\) | −11.4654 | + | 55.3267i | −0.0868593 | + | 0.419141i | ||||
\(133\) | −32.2343 | + | 181.628i | −0.242363 | + | 1.36562i | ||||
\(134\) | 5.36425 | 0.0400317 | ||||||||
\(135\) | −50.2714 | − | 125.291i | −0.372381 | − | 0.928080i | ||||
\(136\) | −22.9071 | − | 13.2254i | −0.168435 | − | 0.0972459i | ||||
\(137\) | 55.4124 | + | 206.802i | 0.404470 | + | 1.50950i | 0.805031 | + | 0.593233i | \(0.202149\pi\) |
−0.400561 | + | 0.916270i | \(0.631185\pi\) | |||||||
\(138\) | 96.0157 | − | 31.7397i | 0.695766 | − | 0.229998i | ||||
\(139\) | 14.1012 | 0.101447 | 0.0507237 | − | 0.998713i | \(-0.483847\pi\) | ||||
0.0507237 | + | 0.998713i | \(0.483847\pi\) | |||||||
\(140\) | 68.1844 | + | 15.8393i | 0.487032 | + | 0.113138i | ||||
\(141\) | 8.04318 | − | 5.28182i | 0.0570439 | − | 0.0374597i | ||||
\(142\) | 9.69230 | − | 36.1721i | 0.0682556 | − | 0.254733i | ||||
\(143\) | 55.6723 | + | 207.772i | 0.389317 | + | 1.45295i | ||||
\(144\) | −28.9072 | + | 21.4563i | −0.200745 | + | 0.149002i | ||||
\(145\) | −92.6655 | + | 142.615i | −0.639072 | + | 0.983552i | ||||
\(146\) | 39.9840 | 0.273863 | ||||||||
\(147\) | −77.5394 | + | 124.887i | −0.527479 | + | 0.849568i | ||||
\(148\) | 67.7053 | − | 67.7053i | 0.457468 | − | 0.457468i | ||||
\(149\) | −49.5021 | − | 85.7402i | −0.332229 | − | 0.575437i | 0.650720 | − | 0.759318i | \(-0.274467\pi\) |
−0.982949 | + | 0.183881i | \(0.941134\pi\) | |||||||
\(150\) | 57.3574 | − | 89.2195i | 0.382383 | − | 0.594797i | ||||
\(151\) | 82.2460 | − | 142.454i | 0.544675 | − | 0.943406i | −0.453952 | − | 0.891026i | \(-0.649986\pi\) |
0.998627 | − | 0.0523793i | \(-0.0166805\pi\) | |||||||
\(152\) | 19.2912 | − | 71.9958i | 0.126916 | − | 0.473657i | ||||
\(153\) | −30.9624 | − | 78.2642i | −0.202369 | − | 0.511531i | ||||
\(154\) | −8.02166 | − | 92.8781i | −0.0520887 | − | 0.603104i | ||||
\(155\) | −14.8545 | + | 7.56410i | −0.0958353 | + | 0.0488006i | ||||
\(156\) | −61.5960 | + | 122.429i | −0.394846 | + | 0.784799i | ||||
\(157\) | −18.0786 | − | 67.4702i | −0.115150 | − | 0.429746i | 0.884148 | − | 0.467207i | \(-0.154740\pi\) |
−0.999298 | + | 0.0374608i | \(0.988073\pi\) | |||||||
\(158\) | 60.8475 | − | 16.3040i | 0.385111 | − | 0.103190i | ||||
\(159\) | −157.501 | − | 79.2414i | −0.990571 | − | 0.498374i | ||||
\(160\) | −26.8978 | − | 8.74698i | −0.168111 | − | 0.0546686i | ||||
\(161\) | −136.781 | + | 95.5486i | −0.849572 | + | 0.593469i | ||||
\(162\) | −114.493 | − | 3.66024i | −0.706746 | − | 0.0225941i | ||||
\(163\) | −149.425 | − | 40.0383i | −0.916719 | − | 0.245634i | −0.230536 | − | 0.973064i | \(-0.574048\pi\) |
−0.686182 | + | 0.727430i | \(0.740715\pi\) | |||||||
\(164\) | 5.74959 | + | 3.31953i | 0.0350585 | + | 0.0202410i | ||||
\(165\) | −136.618 | − | 35.8970i | −0.827988 | − | 0.217558i | ||||
\(166\) | −122.438 | + | 70.6898i | −0.737580 | + | 0.425842i | ||||
\(167\) | −55.1776 | − | 55.1776i | −0.330405 | − | 0.330405i | 0.522336 | − | 0.852740i | \(-0.325061\pi\) |
−0.852740 | + | 0.522336i | \(0.825061\pi\) | |||||||
\(168\) | 35.5565 | − | 47.5787i | 0.211646 | − | 0.283207i | ||||
\(169\) | 352.745i | 2.08725i | ||||||||
\(170\) | 36.0292 | − | 55.4500i | 0.211936 | − | 0.326177i | ||||
\(171\) | 190.443 | − | 141.355i | 1.11370 | − | 0.826640i | ||||
\(172\) | 79.0334 | − | 21.1769i | 0.459496 | − | 0.123122i | ||||
\(173\) | −128.947 | − | 34.5513i | −0.745359 | − | 0.199718i | −0.133901 | − | 0.990995i | \(-0.542750\pi\) |
−0.611459 | + | 0.791276i | \(0.709417\pi\) | |||||||
\(174\) | 79.2156 | + | 120.630i | 0.455262 | + | 0.693275i | ||||
\(175\) | −48.5069 | + | 168.143i | −0.277182 | + | 0.960817i | ||||
\(176\) | 37.6681i | 0.214023i | ||||||||
\(177\) | 36.5261 | + | 110.495i | 0.206362 | + | 0.624265i | ||||
\(178\) | −186.347 | + | 49.9315i | −1.04689 | + | 0.280514i | ||||
\(179\) | 127.018 | − | 220.002i | 0.709598 | − | 1.22906i | −0.255409 | − | 0.966833i | \(-0.582210\pi\) |
0.965006 | − | 0.262226i | \(-0.0844567\pi\) | |||||||
\(180\) | −49.7664 | − | 74.9887i | −0.276480 | − | 0.416604i | ||||
\(181\) | 307.420i | 1.69846i | 0.528027 | + | 0.849228i | \(0.322932\pi\) | ||||
−0.528027 | + | 0.849228i | \(0.677068\pi\) | |||||||
\(182\) | 39.5134 | − | 222.643i | 0.217106 | − | 1.22331i | ||||
\(183\) | 273.200 | + | 56.6156i | 1.49289 | + | 0.309375i | ||||
\(184\) | 58.3850 | − | 33.7086i | 0.317310 | − | 0.183199i | ||||
\(185\) | 160.129 | + | 177.930i | 0.865561 | + | 0.961781i | ||||
\(186\) | 0.812300 | + | 14.1212i | 0.00436720 | + | 0.0759202i | ||||
\(187\) | −85.0654 | − | 22.7932i | −0.454895 | − | 0.121889i | ||||
\(188\) | 4.53604 | − | 4.53604i | 0.0241279 | − | 0.0241279i | ||||
\(189\) | 182.719 | − | 48.3205i | 0.966766 | − | 0.255664i | ||||
\(190\) | 177.205 | + | 57.6258i | 0.932656 | + | 0.303293i | ||||
\(191\) | 124.117 | − | 71.6590i | 0.649828 | − | 0.375178i | −0.138563 | − | 0.990354i | \(-0.544248\pi\) |
0.788390 | + | 0.615176i | \(0.210915\pi\) | |||||||
\(192\) | −15.9680 | + | 17.9172i | −0.0831664 | + | 0.0933185i | ||||
\(193\) | 73.6622 | + | 274.911i | 0.381670 | + | 1.42441i | 0.843350 | + | 0.537364i | \(0.180580\pi\) |
−0.461681 | + | 0.887046i | \(0.652753\pi\) | |||||||
\(194\) | −205.338 | + | 118.552i | −1.05844 | + | 0.611093i | ||||
\(195\) | −297.551 | − | 169.871i | −1.52590 | − | 0.871134i | ||||
\(196\) | −33.7228 | + | 92.0151i | −0.172055 | + | 0.469465i | ||||
\(197\) | −126.936 | + | 126.936i | −0.644345 | + | 0.644345i | −0.951621 | − | 0.307276i | \(-0.900583\pi\) |
0.307276 | + | 0.951621i | \(0.400583\pi\) | |||||||
\(198\) | −74.4758 | + | 93.9127i | −0.376140 | + | 0.474307i | ||||
\(199\) | 43.5943 | − | 75.5075i | 0.219067 | − | 0.379435i | −0.735456 | − | 0.677572i | \(-0.763032\pi\) |
0.954523 | + | 0.298137i | \(0.0963654\pi\) | |||||||
\(200\) | 25.3731 | − | 66.0016i | 0.126866 | − | 0.330008i | ||||
\(201\) | 10.1652 | + | 5.11431i | 0.0505734 | + | 0.0254443i | ||||
\(202\) | 37.1839 | − | 37.1839i | 0.184078 | − | 0.184078i | ||||
\(203\) | −182.230 | − | 153.255i | −0.897684 | − | 0.754950i | ||||
\(204\) | −30.7998 | − | 46.9020i | −0.150979 | − | 0.229912i | ||||
\(205\) | −9.04316 | + | 13.9177i | −0.0441130 | + | 0.0678913i | ||||
\(206\) | 22.6657 | − | 39.2582i | 0.110028 | − | 0.190574i | ||||
\(207\) | 212.210 | + | 31.3953i | 1.02517 | + | 0.151668i | ||||
\(208\) | −23.6475 | + | 88.2537i | −0.113690 | + | 0.424297i | ||||
\(209\) | − | 248.160i | − | 1.18737i | ||||||
\(210\) | 114.108 | + | 95.0230i | 0.543371 | + | 0.452490i | ||||
\(211\) | 285.530 | 1.35322 | 0.676612 | − | 0.736340i | \(-0.263448\pi\) | ||||
0.676612 | + | 0.736340i | \(0.263448\pi\) | |||||||
\(212\) | −113.536 | − | 30.4218i | −0.535546 | − | 0.143499i | ||||
\(213\) | 52.8536 | − | 59.3054i | 0.248139 | − | 0.278429i | ||||
\(214\) | −218.226 | − | 125.993i | −1.01975 | − | 0.588750i | ||||
\(215\) | 42.4795 | + | 200.094i | 0.197579 | + | 0.930669i | ||||
\(216\) | −75.2357 | + | 13.0992i | −0.348313 | + | 0.0606444i | ||||
\(217\) | −7.95740 | − | 21.9387i | −0.0366701 | − | 0.101100i | ||||
\(218\) | 9.42916 | + | 9.42916i | 0.0432530 | + | 0.0432530i | ||||
\(219\) | 75.7696 | + | 38.1210i | 0.345980 | + | 0.174068i | ||||
\(220\) | −94.0400 | − | 4.95177i | −0.427455 | − | 0.0225080i | ||||
\(221\) | −184.993 | − | 106.806i | −0.837072 | − | 0.483284i | ||||
\(222\) | 192.852 | − | 63.7507i | 0.868703 | − | 0.287165i | ||||
\(223\) | −92.5468 | − | 92.5468i | −0.415008 | − | 0.415008i | 0.468471 | − | 0.883479i | \(-0.344805\pi\) |
−0.883479 | + | 0.468471i | \(0.844805\pi\) | |||||||
\(224\) | 16.7747 | − | 35.8693i | 0.0748873 | − | 0.160131i | ||||
\(225\) | 193.755 | − | 114.386i | 0.861132 | − | 0.508382i | ||||
\(226\) | −89.8897 | − | 155.694i | −0.397742 | − | 0.688910i | ||||
\(227\) | 20.2708 | − | 5.43155i | 0.0892988 | − | 0.0239275i | −0.213893 | − | 0.976857i | \(-0.568614\pi\) |
0.303192 | + | 0.952930i | \(0.401948\pi\) | |||||||
\(228\) | 105.198 | − | 118.040i | 0.461395 | − | 0.517717i | ||||
\(229\) | −148.758 | − | 257.656i | −0.649596 | − | 1.12513i | −0.983219 | − | 0.182427i | \(-0.941605\pi\) |
0.333623 | − | 0.942707i | \(-0.391729\pi\) | |||||||
\(230\) | 76.4798 | + | 150.192i | 0.332521 | + | 0.653008i | ||||
\(231\) | 73.3495 | − | 183.652i | 0.317530 | − | 0.795029i | ||||
\(232\) | 68.0305 | + | 68.0305i | 0.293235 | + | 0.293235i | ||||
\(233\) | 4.96446 | − | 18.5276i | 0.0213067 | − | 0.0795176i | −0.954454 | − | 0.298358i | \(-0.903561\pi\) |
0.975761 | + | 0.218841i | \(0.0702276\pi\) | |||||||
\(234\) | −233.448 | + | 173.276i | −0.997643 | + | 0.740495i | ||||
\(235\) | 10.7281 | + | 11.9207i | 0.0456515 | + | 0.0507264i | ||||
\(236\) | 38.7918 | + | 67.1894i | 0.164372 | + | 0.284701i | ||||
\(237\) | 130.850 | + | 27.1163i | 0.552111 | + | 0.114415i | ||||
\(238\) | 70.8527 | + | 59.5869i | 0.297700 | + | 0.250365i | ||||
\(239\) | 138.243 | 0.578425 | 0.289212 | − | 0.957265i | \(-0.406607\pi\) | ||||
0.289212 | + | 0.957265i | \(0.406607\pi\) | |||||||
\(240\) | −42.6318 | − | 42.2200i | −0.177632 | − | 0.175917i | ||||
\(241\) | −195.863 | − | 113.081i | −0.812708 | − | 0.469217i | 0.0351871 | − | 0.999381i | \(-0.488797\pi\) |
−0.847896 | + | 0.530163i | \(0.822131\pi\) | |||||||
\(242\) | −11.8298 | − | 44.1493i | −0.0488834 | − | 0.182435i | ||||
\(243\) | −213.474 | − | 116.094i | −0.878493 | − | 0.477754i | ||||
\(244\) | 186.003 | 0.762307 | ||||||||
\(245\) | −225.286 | − | 96.2865i | −0.919536 | − | 0.393006i | ||||
\(246\) | 7.73060 | + | 11.7722i | 0.0314252 | + | 0.0478544i | ||||
\(247\) | 155.792 | − | 581.422i | 0.630735 | − | 2.35394i | ||||
\(248\) | 2.44058 | + | 9.10836i | 0.00984104 | + | 0.0367273i | ||||
\(249\) | −299.416 | + | 17.2235i | −1.20248 | + | 0.0691707i | ||||
\(250\) | 161.440 | + | 72.0215i | 0.645760 | + | 0.288086i | ||||
\(251\) | 172.595 | 0.687631 | 0.343816 | − | 0.939037i | \(-0.388280\pi\) | ||||
0.343816 | + | 0.939037i | \(0.388280\pi\) | |||||||
\(252\) | 112.741 | − | 56.2617i | 0.447386 | − | 0.223261i | ||||
\(253\) | 158.717 | − | 158.717i | 0.627342 | − | 0.627342i | ||||
\(254\) | −25.5424 | − | 44.2408i | −0.100561 | − | 0.174176i | ||||
\(255\) | 121.142 | − | 70.7272i | 0.475065 | − | 0.277362i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 122.676 | − | 457.834i | 0.477339 | − | 1.78145i | −0.134985 | − | 0.990848i | \(-0.543099\pi\) |
0.612324 | − | 0.790607i | \(-0.290235\pi\) | |||||||
\(258\) | 169.958 | + | 35.2207i | 0.658753 | + | 0.136514i | ||||
\(259\) | −274.731 | + | 191.914i | −1.06074 | + | 0.740980i | ||||
\(260\) | −217.220 | − | 70.6386i | −0.835463 | − | 0.271687i | ||||
\(261\) | 35.1041 | + | 304.118i | 0.134498 | + | 1.16520i | ||||
\(262\) | 54.0763 | + | 201.816i | 0.206398 | + | 0.770288i | ||||
\(263\) | −272.280 | + | 72.9572i | −1.03529 | + | 0.277404i | −0.736158 | − | 0.676809i | \(-0.763362\pi\) |
−0.299127 | + | 0.954213i | \(0.596695\pi\) | |||||||
\(264\) | −35.9130 | + | 71.3810i | −0.136034 | + | 0.270383i | ||||
\(265\) | 90.8746 | − | 279.448i | 0.342923 | − | 1.05452i | ||||
\(266\) | −110.513 | + | 236.310i | −0.415464 | + | 0.888383i | ||||
\(267\) | −400.732 | − | 83.0442i | −1.50087 | − | 0.311027i | ||||
\(268\) | 7.32770 | + | 1.96345i | 0.0273422 | + | 0.00732631i | ||||
\(269\) | 106.164 | + | 61.2938i | 0.394662 | + | 0.227858i | 0.684178 | − | 0.729315i | \(-0.260161\pi\) |
−0.289516 | + | 0.957173i | \(0.593494\pi\) | |||||||
\(270\) | −22.8124 | − | 189.551i | −0.0844903 | − | 0.702041i | ||||
\(271\) | −88.7006 | + | 51.2113i | −0.327308 | + | 0.188972i | −0.654645 | − | 0.755936i | \(-0.727182\pi\) |
0.327337 | + | 0.944908i | \(0.393849\pi\) | |||||||
\(272\) | −26.4509 | − | 26.4509i | −0.0972459 | − | 0.0972459i | ||||
\(273\) | 287.147 | − | 384.235i | 1.05182 | − | 1.40745i | ||||
\(274\) | 302.779i | 1.10503i | ||||||||
\(275\) | 24.7246 | − | 234.124i | 0.0899076 | − | 0.851359i | ||||
\(276\) | 142.777 | − | 8.21307i | 0.517310 | − | 0.0297575i | ||||
\(277\) | 210.515 | − | 56.4074i | 0.759983 | − | 0.203637i | 0.142042 | − | 0.989861i | \(-0.454633\pi\) |
0.617942 | + | 0.786224i | \(0.287967\pi\) | |||||||
\(278\) | 19.2626 | + | 5.16139i | 0.0692898 | + | 0.0185662i | ||||
\(279\) | −11.9239 | + | 27.5340i | −0.0427380 | + | 0.0986882i | ||||
\(280\) | 87.3441 | + | 46.5942i | 0.311943 | + | 0.166408i | ||||
\(281\) | − | 160.860i | − | 0.572457i | −0.958161 | − | 0.286228i | \(-0.907598\pi\) | ||
0.958161 | − | 0.286228i | \(-0.0924016\pi\) | |||||||
\(282\) | 12.9205 | − | 4.27109i | 0.0458173 | − | 0.0151457i | ||||
\(283\) | −114.655 | + | 30.7218i | −0.405143 | + | 0.108558i | −0.455635 | − | 0.890167i | \(-0.650588\pi\) |
0.0504921 | + | 0.998724i | \(0.483921\pi\) | |||||||
\(284\) | 26.4798 | − | 45.8644i | 0.0932389 | − | 0.161494i | ||||
\(285\) | 280.862 | + | 278.149i | 0.985479 | + | 0.975960i | ||||
\(286\) | 304.199i | 1.06363i | ||||||||
\(287\) | −17.7837 | − | 14.9561i | −0.0619641 | − | 0.0521117i | ||||
\(288\) | −47.3416 | + | 18.7290i | −0.164380 | + | 0.0650313i | ||||
\(289\) | −174.542 | + | 100.772i | −0.603952 | + | 0.348692i | ||||
\(290\) | −178.784 | + | 160.898i | −0.616497 | + | 0.554820i | ||||
\(291\) | −502.143 | + | 28.8851i | −1.72558 | + | 0.0992615i | ||||
\(292\) | 54.6191 | + | 14.6352i | 0.187052 | + | 0.0501204i | ||||
\(293\) | 38.3008 | − | 38.3008i | 0.130719 | − | 0.130719i | −0.638720 | − | 0.769439i | \(-0.720536\pi\) |
0.769439 | + | 0.638720i | \(0.220536\pi\) | |||||||
\(294\) | −151.632 | + | 142.217i | −0.515756 | + | 0.483731i | ||||
\(295\) | −172.841 | + | 88.0129i | −0.585901 | + | 0.298349i | ||||
\(296\) | 117.269 | − | 67.7053i | 0.396179 | − | 0.228734i | ||||
\(297\) | −230.668 | + | 106.959i | −0.776661 | + | 0.360130i | ||||
\(298\) | −36.2381 | − | 135.242i | −0.121604 | − | 0.453833i | ||||
\(299\) | 471.504 | − | 272.223i | 1.57694 | − | 0.910445i | ||||
\(300\) | 111.008 | − | 100.882i | 0.370028 | − | 0.336273i | ||||
\(301\) | −285.313 | + | 24.6418i | −0.947882 | + | 0.0818664i | ||||
\(302\) | 164.492 | − | 164.492i | 0.544675 | − | 0.544675i | ||||
\(303\) | 105.915 | − | 35.0120i | 0.349553 | − | 0.115551i | ||||
\(304\) | 52.7046 | − | 91.2871i | 0.173370 | − | 0.300286i | ||||
\(305\) | −24.4515 | + | 464.364i | −0.0801689 | + | 1.52250i | ||||
\(306\) | −13.6488 | − | 118.244i | −0.0446039 | − | 0.386418i | ||||
\(307\) | −178.315 | + | 178.315i | −0.580830 | + | 0.580830i | −0.935131 | − | 0.354301i | \(-0.884719\pi\) |
0.354301 | + | 0.935131i | \(0.384719\pi\) | |||||||
\(308\) | 23.0379 | − | 129.810i | 0.0747985 | − | 0.421461i | ||||
\(309\) | 80.3805 | − | 52.7845i | 0.260131 | − | 0.170824i | ||||
\(310\) | −23.0602 | + | 4.89564i | −0.0743879 | + | 0.0157924i | ||||
\(311\) | −36.9045 | + | 63.9205i | −0.118664 | + | 0.205532i | −0.919238 | − | 0.393701i | \(-0.871194\pi\) |
0.800574 | + | 0.599233i | \(0.204528\pi\) | |||||||
\(312\) | −128.954 | + | 144.695i | −0.413313 | + | 0.463766i | ||||
\(313\) | 57.2987 | − | 213.842i | 0.183063 | − | 0.683201i | −0.811974 | − | 0.583694i | \(-0.801607\pi\) |
0.995037 | − | 0.0995068i | \(-0.0317265\pi\) | |||||||
\(314\) | − | 98.7832i | − | 0.314596i | ||||||
\(315\) | 125.639 | + | 288.860i | 0.398854 | + | 0.917015i | ||||
\(316\) | 89.0870 | 0.281921 | ||||||||
\(317\) | 137.782 | + | 36.9186i | 0.434644 | + | 0.116463i | 0.469505 | − | 0.882930i | \(-0.344432\pi\) |
−0.0348611 | + | 0.999392i | \(0.511099\pi\) | |||||||
\(318\) | −186.146 | − | 165.895i | −0.585364 | − | 0.521683i | ||||
\(319\) | 277.408 | + | 160.161i | 0.869616 | + | 0.502073i | ||||
\(320\) | −33.5414 | − | 21.7939i | −0.104817 | − | 0.0681058i | ||||
\(321\) | −293.415 | − | 446.813i | −0.914065 | − | 1.39194i | ||||
\(322\) | −221.820 | + | 80.4564i | −0.688881 | + | 0.249865i | ||||
\(323\) | 174.260 | + | 174.260i | 0.539506 | + | 0.539506i | ||||
\(324\) | −155.060 | − | 46.9073i | −0.478581 | − | 0.144775i | ||||
\(325\) | 204.908 | − | 533.014i | 0.630485 | − | 1.64004i | ||||
\(326\) | −189.463 | − | 109.387i | −0.581176 | − | 0.335542i | ||||
\(327\) | 8.87842 | + | 26.8581i | 0.0271511 | + | 0.0821348i | ||||
\(328\) | 6.63905 | + | 6.63905i | 0.0202410 | + | 0.0202410i | ||||
\(329\) | −18.4061 | + | 12.8576i | −0.0559457 | + | 0.0390809i | ||||
\(330\) | −173.485 | − | 99.0420i | −0.525711 | − | 0.300127i | ||||
\(331\) | 260.816 | + | 451.747i | 0.787964 | + | 1.36479i | 0.927212 | + | 0.374537i | \(0.122198\pi\) |
−0.139248 | + | 0.990258i | \(0.544468\pi\) | |||||||
\(332\) | −193.128 | + | 51.7485i | −0.581711 | + | 0.155869i | ||||
\(333\) | 426.235 | + | 63.0590i | 1.27998 | + | 0.189366i | ||||
\(334\) | −55.1776 | − | 95.5703i | −0.165202 | − | 0.286139i | ||||
\(335\) | −5.86512 | + | 18.0358i | −0.0175078 | + | 0.0538382i | ||||
\(336\) | 65.9861 | − | 51.9791i | 0.196387 | − | 0.154700i | ||||
\(337\) | −132.357 | − | 132.357i | −0.392750 | − | 0.392750i | 0.482916 | − | 0.875667i | \(-0.339578\pi\) |
−0.875667 | + | 0.482916i | \(0.839578\pi\) | |||||||
\(338\) | −129.114 | + | 481.859i | −0.381993 | + | 1.42562i | ||||
\(339\) | −21.9016 | − | 380.741i | −0.0646064 | − | 1.12313i | ||||
\(340\) | 69.5129 | − | 62.5586i | 0.204450 | − | 0.183996i | ||||
\(341\) | 15.6977 | + | 27.1892i | 0.0460343 | + | 0.0797337i | ||||
\(342\) | 311.890 | − | 123.388i | 0.911959 | − | 0.360784i | ||||
\(343\) | 172.491 | − | 296.473i | 0.502888 | − | 0.864352i | ||||
\(344\) | 115.713 | 0.336375 | ||||||||
\(345\) | 1.73507 | + | 357.529i | 0.00502918 | + | 1.03632i | ||||
\(346\) | −163.498 | − | 94.3959i | −0.472539 | − | 0.272821i | ||||
\(347\) | 50.9331 | + | 190.085i | 0.146781 | + | 0.547796i | 0.999670 | + | 0.0257021i | \(0.00818213\pi\) |
−0.852888 | + | 0.522093i | \(0.825151\pi\) | |||||||
\(348\) | 64.0569 | + | 193.778i | 0.184072 | + | 0.556834i | ||||
\(349\) | −282.056 | −0.808184 | −0.404092 | − | 0.914718i | \(-0.632412\pi\) | ||||
−0.404092 | + | 0.914718i | \(0.632412\pi\) | |||||||
\(350\) | −127.806 | + | 211.933i | −0.365161 | + | 0.605523i | ||||
\(351\) | −607.587 | + | 105.786i | −1.73102 | + | 0.301385i | ||||
\(352\) | −13.7875 | + | 51.4556i | −0.0391690 | + | 0.146181i | ||||
\(353\) | −116.873 | − | 436.174i | −0.331084 | − | 1.23562i | −0.908053 | − | 0.418855i | \(-0.862431\pi\) |
0.576969 | − | 0.816766i | \(-0.304235\pi\) | |||||||
\(354\) | 9.45160 | + | 164.308i | 0.0266994 | + | 0.464148i | ||||
\(355\) | 111.021 | + | 72.1373i | 0.312737 | + | 0.203204i | ||||
\(356\) | −272.831 | −0.766378 | ||||||||
\(357\) | 77.4551 | + | 180.469i | 0.216961 | + | 0.505514i | ||||
\(358\) | 254.036 | − | 254.036i | 0.709598 | − | 0.709598i | ||||
\(359\) | 167.547 | + | 290.199i | 0.466703 | + | 0.808354i | 0.999277 | − | 0.0380300i | \(-0.0121082\pi\) |
−0.532573 | + | 0.846384i | \(0.678775\pi\) | |||||||
\(360\) | −40.5343 | − | 120.652i | −0.112595 | − | 0.335145i | ||||
\(361\) | −166.722 | + | 288.771i | −0.461834 | + | 0.799919i | ||||
\(362\) | −112.524 | + | 419.944i | −0.310839 | + | 1.16007i | ||||
\(363\) | 19.6749 | − | 94.9415i | 0.0542007 | − | 0.261547i | ||||
\(364\) | 135.469 | − | 289.673i | 0.372168 | − | 0.795804i | ||||
\(365\) | −43.7174 | + | 134.435i | −0.119774 | + | 0.368315i | ||||
\(366\) | 352.475 | + | 177.336i | 0.963046 | + | 0.484525i | ||||
\(367\) | 160.378 | + | 598.537i | 0.436996 | + | 1.63089i | 0.736244 | + | 0.676716i | \(0.236597\pi\) |
−0.299248 | + | 0.954175i | \(0.596736\pi\) | |||||||
\(368\) | 92.0936 | − | 24.6764i | 0.250254 | − | 0.0670555i | ||||
\(369\) | 3.42578 | + | 29.6787i | 0.00928397 | + | 0.0804300i | ||||
\(370\) | 153.613 | + | 301.667i | 0.415171 | + | 0.815317i | ||||
\(371\) | 372.655 | + | 174.277i | 1.00446 | + | 0.469750i | ||||
\(372\) | −4.05908 | + | 19.5872i | −0.0109115 | + | 0.0526537i | ||||
\(373\) | −316.330 | − | 84.7604i | −0.848070 | − | 0.227240i | −0.191488 | − | 0.981495i | \(-0.561331\pi\) |
−0.656581 | + | 0.754255i | \(0.727998\pi\) | |||||||
\(374\) | −107.859 | − | 62.2722i | −0.288392 | − | 0.166503i | ||||
\(375\) | 237.263 | + | 290.399i | 0.632701 | + | 0.774396i | ||||
\(376\) | 7.85665 | − | 4.53604i | 0.0208953 | − | 0.0120639i | ||||
\(377\) | 549.399 | + | 549.399i | 1.45729 | + | 1.45729i | ||||
\(378\) | 267.285 | + | 0.872608i | 0.707103 | + | 0.00230849i | ||||
\(379\) | − | 119.151i | − | 0.314382i | −0.987568 | − | 0.157191i | \(-0.949756\pi\) | ||
0.987568 | − | 0.157191i | \(-0.0502438\pi\) | |||||||
\(380\) | 220.973 | + | 143.580i | 0.581509 | + | 0.377841i | ||||
\(381\) | −6.22340 | − | 108.189i | −0.0163344 | − | 0.283960i | ||||
\(382\) | 195.776 | − | 52.4581i | 0.512503 | − | 0.137325i | ||||
\(383\) | −319.180 | − | 85.5240i | −0.833368 | − | 0.223300i | −0.183186 | − | 0.983078i | \(-0.558641\pi\) |
−0.650183 | + | 0.759778i | \(0.725308\pi\) | |||||||
\(384\) | −28.3708 | + | 18.6306i | −0.0738822 | + | 0.0485172i | ||||
\(385\) | 321.047 | + | 74.5797i | 0.833889 | + | 0.193714i | ||||
\(386\) | 402.498i | 1.04274i | ||||||||
\(387\) | 288.491 | + | 228.782i | 0.745454 | + | 0.591169i | ||||
\(388\) | −323.890 | + | 86.7861i | −0.834768 | + | 0.223675i | ||||
\(389\) | −148.817 | + | 257.759i | −0.382564 | + | 0.662620i | −0.991428 | − | 0.130655i | \(-0.958292\pi\) |
0.608864 | + | 0.793274i | \(0.291625\pi\) | |||||||
\(390\) | −344.285 | − | 340.959i | −0.882782 | − | 0.874255i | ||||
\(391\) | 222.906i | 0.570091i | ||||||||
\(392\) | −79.7461 | + | 113.352i | −0.203434 | + | 0.289162i | ||||
\(393\) | −89.9378 | + | 433.997i | −0.228849 | + | 1.10432i | ||||
\(394\) | −219.860 | + | 126.936i | −0.558019 | + | 0.322172i | ||||
\(395\) | −11.7112 | + | 222.409i | −0.0296486 | + | 0.563062i | ||||
\(396\) | −136.110 | + | 101.027i | −0.343713 | + | 0.255119i | ||||
\(397\) | 303.837 | + | 81.4129i | 0.765333 | + | 0.205070i | 0.620309 | − | 0.784358i | \(-0.287007\pi\) |
0.145024 | + | 0.989428i | \(0.453674\pi\) | |||||||
\(398\) | 87.1886 | − | 87.1886i | 0.219067 | − | 0.219067i | ||||
\(399\) | −434.722 | + | 342.442i | −1.08953 | + | 0.858252i | ||||
\(400\) | 58.8186 | − | 80.8726i | 0.147046 | − | 0.202181i | ||||
\(401\) | −160.034 | + | 92.3959i | −0.399088 | + | 0.230414i | −0.686090 | − | 0.727516i | \(-0.740675\pi\) |
0.287002 | + | 0.957930i | \(0.407341\pi\) | |||||||
\(402\) | 12.0140 | + | 10.7070i | 0.0298856 | + | 0.0266344i | ||||
\(403\) | 19.7096 | + | 73.5571i | 0.0489071 | + | 0.182524i | ||||
\(404\) | 64.4043 | − | 37.1839i | 0.159417 | − | 0.0920392i | ||||
\(405\) | 137.490 | − | 380.948i | 0.339481 | − | 0.940613i | ||||
\(406\) | −192.836 | − | 276.051i | −0.474964 | − | 0.679928i | ||||
\(407\) | 318.791 | − | 318.791i | 0.783271 | − | 0.783271i | ||||
\(408\) | −24.9059 | − | 75.3428i | −0.0610439 | − | 0.184664i | ||||
\(409\) | 211.032 | − | 365.519i | 0.515972 | − | 0.893689i | −0.483856 | − | 0.875147i | \(-0.660764\pi\) |
0.999828 | − | 0.0185417i | \(-0.00590236\pi\) | |||||||
\(410\) | −17.4474 | + | 15.7019i | −0.0425547 | + | 0.0382974i | ||||
\(411\) | −288.671 | + | 573.765i | −0.702364 | + | 1.39602i | ||||
\(412\) | 45.3314 | − | 45.3314i | 0.110028 | − | 0.110028i | ||||
\(413\) | −92.5892 | − | 255.270i | −0.224187 | − | 0.618087i | ||||
\(414\) | 278.393 | + | 120.561i | 0.672448 | + | 0.291211i | ||||
\(415\) | −103.804 | − | 488.955i | −0.250130 | − | 1.17821i | ||||
\(416\) | −64.6062 | + | 111.901i | −0.155303 | + | 0.268993i | ||||
\(417\) | 31.5816 | + | 28.1459i | 0.0757353 | + | 0.0674961i | ||||
\(418\) | 90.8330 | − | 338.993i | 0.217304 | − | 0.810989i | ||||
\(419\) | − | 583.700i | − | 1.39308i | −0.717519 | − | 0.696539i | \(-0.754722\pi\) | ||
0.717519 | − | 0.696539i | \(-0.245278\pi\) | |||||||
\(420\) | 121.094 | + | 171.570i | 0.288318 | + | 0.408500i | ||||
\(421\) | 634.883 | 1.50804 | 0.754018 | − | 0.656853i | \(-0.228113\pi\) | ||||
0.754018 | + | 0.656853i | \(0.228113\pi\) | |||||||
\(422\) | 390.041 | + | 104.511i | 0.924269 | + | 0.247657i | ||||
\(423\) | 28.5564 | + | 4.22475i | 0.0675091 | + | 0.00998759i | ||||
\(424\) | −143.958 | − | 83.1140i | −0.339523 | − | 0.196024i | ||||
\(425\) | 147.042 | + | 181.766i | 0.345981 | + | 0.427684i | ||||
\(426\) | 93.9067 | − | 61.6669i | 0.220438 | − | 0.144758i | ||||
\(427\) | −640.993 | − | 113.760i | −1.50116 | − | 0.266417i | ||||
\(428\) | −251.985 | − | 251.985i | −0.588750 | − | 0.588750i | ||||
\(429\) | −290.026 | + | 576.457i | −0.676050 | + | 1.34372i | ||||
\(430\) | −15.2114 | + | 288.882i | −0.0353753 | + | 0.671819i | ||||
\(431\) | −13.8237 | − | 7.98112i | −0.0320736 | − | 0.0185177i | 0.483877 | − | 0.875136i | \(-0.339228\pi\) |
−0.515951 | + | 0.856618i | \(0.672561\pi\) | |||||||
\(432\) | −107.569 | − | 9.64434i | −0.249001 | − | 0.0223249i | ||||
\(433\) | −106.458 | − | 106.458i | −0.245862 | − | 0.245862i | 0.573408 | − | 0.819270i | \(-0.305621\pi\) |
−0.819270 | + | 0.573408i | \(0.805621\pi\) | |||||||
\(434\) | −2.83989 | − | 32.8814i | −0.00654353 | − | 0.0757637i | ||||
\(435\) | −492.196 | + | 134.447i | −1.13149 | + | 0.309074i | ||||
\(436\) | 9.42916 | + | 16.3318i | 0.0216265 | + | 0.0374582i | ||||
\(437\) | −606.720 | + | 162.570i | −1.38837 | + | 0.372014i | ||||
\(438\) | 89.5499 | + | 79.8078i | 0.204452 | + | 0.182210i | ||||
\(439\) | 86.9506 | + | 150.603i | 0.198065 | + | 0.343059i | 0.947901 | − | 0.318565i | \(-0.103201\pi\) |
−0.749836 | + | 0.661624i | \(0.769868\pi\) | |||||||
\(440\) | −126.649 | − | 41.1853i | −0.287838 | − | 0.0936029i | ||||
\(441\) | −422.933 | + | 124.933i | −0.959033 | + | 0.283295i | ||||
\(442\) | −213.611 | − | 213.611i | −0.483284 | − | 0.483284i | ||||
\(443\) | −6.66345 | + | 24.8683i | −0.0150416 | + | 0.0561362i | −0.973039 | − | 0.230642i | \(-0.925917\pi\) |
0.957997 | + | 0.286778i | \(0.0925842\pi\) | |||||||
\(444\) | 286.775 | − | 16.4963i | 0.645890 | − | 0.0371539i | ||||
\(445\) | 35.8657 | − | 681.133i | 0.0805971 | − | 1.53064i | ||||
\(446\) | −92.5468 | − | 160.296i | −0.207504 | − | 0.359408i | ||||
\(447\) | 60.2698 | − | 290.833i | 0.134832 | − | 0.650634i | ||||
\(448\) | 36.0438 | − | 42.8584i | 0.0804549 | − | 0.0956661i | ||||
\(449\) | −590.012 | −1.31406 | −0.657029 | − | 0.753866i | \(-0.728187\pi\) | ||||
−0.657029 | + | 0.753866i | \(0.728187\pi\) | |||||||
\(450\) | 306.542 | − | 85.3349i | 0.681204 | − | 0.189633i | ||||
\(451\) | 27.0720 | + | 15.6300i | 0.0600267 | + | 0.0346564i | ||||
\(452\) | −65.8039 | − | 245.583i | −0.145584 | − | 0.543326i | ||||
\(453\) | 468.540 | − | 154.884i | 1.03430 | − | 0.341908i | ||||
\(454\) | 29.6786 | 0.0653713 | ||||||||
\(455\) | 705.371 | + | 376.284i | 1.55027 | + | 0.826998i | ||||
\(456\) | 186.909 | − | 122.740i | 0.409888 | − | 0.269166i | ||||
\(457\) | −108.396 | + | 404.540i | −0.237191 | + | 0.885208i | 0.739958 | + | 0.672653i | \(0.234845\pi\) |
−0.977149 | + | 0.212555i | \(0.931821\pi\) | |||||||
\(458\) | −108.898 | − | 406.413i | −0.237769 | − | 0.887365i | ||||
\(459\) | 86.8701 | − | 237.085i | 0.189259 | − | 0.516525i | ||||
\(460\) | 49.4993 | + | 233.159i | 0.107607 | + | 0.506868i | ||||
\(461\) | −630.123 | −1.36686 | −0.683431 | − | 0.730015i | \(-0.739513\pi\) | ||||
−0.683431 | + | 0.730015i | \(0.739513\pi\) | |||||||
\(462\) | 167.418 | − | 224.025i | 0.362378 | − | 0.484903i | ||||
\(463\) | 109.680 | − | 109.680i | 0.236889 | − | 0.236889i | −0.578672 | − | 0.815561i | \(-0.696429\pi\) |
0.815561 | + | 0.578672i | \(0.196429\pi\) | |||||||
\(464\) | 68.0305 | + | 117.832i | 0.146617 | + | 0.253949i | ||||
\(465\) | −48.3666 | − | 12.7086i | −0.104014 | − | 0.0273302i | ||||
\(466\) | 13.5631 | − | 23.4921i | 0.0291055 | − | 0.0504121i | ||||
\(467\) | 227.552 | − | 849.236i | 0.487264 | − | 1.81849i | −0.0823804 | − | 0.996601i | \(-0.526252\pi\) |
0.569644 | − | 0.821892i | \(-0.307081\pi\) | |||||||
\(468\) | −382.320 | + | 151.251i | −0.816923 | + | 0.323186i | ||||
\(469\) | −24.0515 | − | 11.2480i | −0.0512825 | − | 0.0239829i | ||||
\(470\) | 10.2916 | + | 20.2108i | 0.0218970 | + | 0.0430016i | ||||
\(471\) | 94.1805 | − | 187.194i | 0.199959 | − | 0.397439i | ||||
\(472\) | 28.3976 | + | 105.981i | 0.0601644 | + | 0.224537i | ||||
\(473\) | 372.130 | − | 99.7119i | 0.786744 | − | 0.210807i | ||||
\(474\) | 168.820 | + | 84.9361i | 0.356160 | + | 0.179190i | ||||
\(475\) | −387.501 | + | 532.795i | −0.815792 | + | 1.12167i | ||||
\(476\) | 74.9763 | + | 107.331i | 0.157513 | + | 0.225486i | ||||
\(477\) | −194.580 | − | 491.843i | −0.407925 | − | 1.03112i | ||||
\(478\) | 188.844 | + | 50.6006i | 0.395071 | + | 0.105859i | ||||
\(479\) | −90.6955 | − | 52.3631i | −0.189344 | − | 0.109318i | 0.402332 | − | 0.915494i | \(-0.368200\pi\) |
−0.591675 | + | 0.806176i | \(0.701533\pi\) | |||||||
\(480\) | −42.7825 | − | 73.2779i | −0.0891302 | − | 0.152662i | ||||
\(481\) | 947.038 | − | 546.773i | 1.96889 | − | 1.13674i | ||||
\(482\) | −226.163 | − | 226.163i | −0.469217 | − | 0.469217i | ||||
\(483\) | −497.055 | − | 59.0197i | −1.02910 | − | 0.122194i | ||||
\(484\) | − | 64.6391i | − | 0.133552i | ||||||
\(485\) | −174.087 | − | 820.014i | −0.358943 | − | 1.69075i | ||||
\(486\) | −249.117 | − | 236.725i | −0.512587 | − | 0.487088i | ||||
\(487\) | 534.720 | − | 143.278i | 1.09799 | − | 0.294205i | 0.336043 | − | 0.941847i | \(-0.390911\pi\) |
0.761945 | + | 0.647642i | \(0.224245\pi\) | |||||||
\(488\) | 254.085 | + | 68.0818i | 0.520665 | + | 0.139512i | ||||
\(489\) | −254.743 | − | 387.923i | −0.520946 | − | 0.793299i | ||||
\(490\) | −272.503 | − | 213.990i | −0.556130 | − | 0.436715i | ||||
\(491\) | 212.339i | 0.432463i | 0.976342 | + | 0.216231i | \(0.0693766\pi\) | ||||
−0.976342 | + | 0.216231i | \(0.930623\pi\) | |||||||
\(492\) | 6.25127 | + | 18.9107i | 0.0127058 | + | 0.0384364i | ||||
\(493\) | −307.265 | + | 82.3313i | −0.623255 | + | 0.167001i | ||||
\(494\) | 425.631 | − | 737.214i | 0.861600 | − | 1.49234i | ||||
\(495\) | −234.326 | − | 353.086i | −0.473385 | − | 0.713304i | ||||
\(496\) | 13.3356i | 0.0268862i | ||||||||
\(497\) | −119.304 | + | 141.861i | −0.240049 | + | 0.285434i | ||||
\(498\) | −415.315 | − | 86.0663i | −0.833965 | − | 0.172824i | ||||
\(499\) | −144.944 | + | 83.6836i | −0.290470 | + | 0.167703i | −0.638154 | − | 0.769909i | \(-0.720302\pi\) |
0.347684 | + | 0.937612i | \(0.386968\pi\) | |||||||
\(500\) | 194.170 | + | 157.474i | 0.388339 | + | 0.314949i | ||||
\(501\) | −13.4440 | − | 233.712i | −0.0268343 | − | 0.466491i | ||||
\(502\) | 235.770 | + | 63.1743i | 0.469661 | + | 0.125845i | ||||
\(503\) | −292.158 | + | 292.158i | −0.580831 | + | 0.580831i | −0.935131 | − | 0.354301i | \(-0.884719\pi\) |
0.354301 | + | 0.935131i | \(0.384719\pi\) | |||||||
\(504\) | 174.601 | − | 35.5887i | 0.346430 | − | 0.0706125i | ||||
\(505\) | 84.3646 | + | 165.676i | 0.167059 | + | 0.328072i | ||||
\(506\) | 274.907 | − | 158.717i | 0.543294 | − | 0.313671i | ||||
\(507\) | −704.077 | + | 790.023i | −1.38871 | + | 1.55823i | ||||
\(508\) | −18.6984 | − | 69.7833i | −0.0368078 | − | 0.137369i | ||||
\(509\) | 72.6555 | − | 41.9477i | 0.142742 | − | 0.0824120i | −0.426928 | − | 0.904285i | \(-0.640404\pi\) |
0.569670 | + | 0.821874i | \(0.307071\pi\) | |||||||
\(510\) | 191.371 | − | 52.2743i | 0.375236 | − | 0.102499i | ||||
\(511\) | −179.275 | − | 83.8402i | −0.350831 | − | 0.164071i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 708.670 | + | 63.5376i | 1.38142 | + | 0.123855i | ||||
\(514\) | 335.158 | − | 580.510i | 0.652058 | − | 1.12940i | ||||
\(515\) | 107.213 | + | 119.131i | 0.208180 | + | 0.231322i | ||||
\(516\) | 219.276 | + | 110.321i | 0.424953 | + | 0.213801i | ||||
\(517\) | 21.3580 | − | 21.3580i | 0.0413114 | − | 0.0413114i | ||||
\(518\) | −445.535 | + | 161.600i | −0.860107 | + | 0.311970i | ||||
\(519\) | −219.832 | − | 334.761i | −0.423568 | − | 0.645011i | ||||
\(520\) | −270.873 | − | 176.002i | −0.520910 | − | 0.338466i | ||||
\(521\) | 240.730 | − | 416.957i | 0.462054 | − | 0.800302i | −0.537009 | − | 0.843577i | \(-0.680446\pi\) |
0.999063 | + | 0.0432749i | \(0.0137791\pi\) | |||||||
\(522\) | −63.3618 | + | 428.282i | −0.121383 | + | 0.820463i | ||||
\(523\) | −116.586 | + | 435.105i | −0.222918 | + | 0.831941i | 0.760310 | + | 0.649560i | \(0.225047\pi\) |
−0.983228 | + | 0.182381i | \(0.941620\pi\) | |||||||
\(524\) | 295.478i | 0.563890i | ||||||||
\(525\) | −444.251 | + | 279.761i | −0.846192 | + | 0.532878i | ||||
\(526\) | −398.646 | −0.757881 | ||||||||
\(527\) | −30.1155 | − | 8.06943i | −0.0571452 | − | 0.0153120i | ||||
\(528\) | −75.1854 | + | 84.3632i | −0.142397 | + | 0.159779i | ||||
\(529\) | −33.8918 | − | 19.5674i | −0.0640677 | − | 0.0369895i | ||||
\(530\) | 226.422 | − | 348.470i | 0.427211 | − | 0.657491i | ||||
\(531\) | −138.742 | + | 320.375i | −0.261284 | + | 0.603343i | ||||
\(532\) | −237.459 | + | 282.354i | −0.446352 | + | 0.530742i | ||||
\(533\) | 53.6155 | + | 53.6155i | 0.100592 | + | 0.100592i | ||||
\(534\) | −517.014 | − | 260.119i | −0.968190 | − | 0.487113i | ||||
\(535\) | 662.217 | − | 595.966i | 1.23779 | − | 1.11395i | ||||
\(536\) | 9.29116 | + | 5.36425i | 0.0173342 | + | 0.0100079i | ||||
\(537\) | 723.597 | − | 239.198i | 1.34748 | − | 0.445434i | ||||
\(538\) | 122.588 | + | 122.588i | 0.227858 | + | 0.227858i | ||||
\(539\) | −158.784 | + | 433.254i | −0.294591 | + | 0.803811i | ||||
\(540\) | 38.2182 | − | 267.281i | 0.0707745 | − | 0.494966i | ||||
\(541\) | 24.3231 | + | 42.1289i | 0.0449596 | + | 0.0778723i | 0.887629 | − | 0.460558i | \(-0.152351\pi\) |
−0.842670 | + | 0.538431i | \(0.819017\pi\) | |||||||
\(542\) | −139.912 | + | 37.4893i | −0.258140 | + | 0.0691684i | ||||
\(543\) | −613.610 | + | 688.512i | −1.13004 | + | 1.26798i | ||||
\(544\) | −26.4509 | − | 45.8143i | −0.0486230 | − | 0.0842174i | ||||
\(545\) | −42.0125 | + | 21.3934i | −0.0770872 | + | 0.0392539i | ||||
\(546\) | 532.889 | − | 419.772i | 0.975988 | − | 0.768812i | ||||
\(547\) | 463.843 | + | 463.843i | 0.847977 | + | 0.847977i | 0.989880 | − | 0.141904i | \(-0.0453224\pi\) |
−0.141904 | + | 0.989880i | \(0.545322\pi\) | |||||||
\(548\) | −110.825 | + | 413.604i | −0.202235 | + | 0.754751i | ||||
\(549\) | 498.866 | + | 672.104i | 0.908680 | + | 1.22423i | ||||
\(550\) | 119.470 | − | 310.769i | 0.217218 | − | 0.565035i | ||||
\(551\) | −448.190 | − | 776.288i | −0.813412 | − | 1.40887i | ||||
\(552\) | 198.044 | + | 41.0409i | 0.358775 | + | 0.0743495i | ||||
\(553\) | −307.007 | − | 54.4859i | −0.555166 | − | 0.0985278i | ||||
\(554\) | 308.216 | 0.556347 | ||||||||
\(555\) | 3.48497 | + | 718.115i | 0.00627922 | + | 1.29390i | ||||
\(556\) | 24.4240 | + | 14.1012i | 0.0439280 | + | 0.0253618i | ||||
\(557\) | −84.0919 | − | 313.835i | −0.150973 | − | 0.563438i | −0.999417 | − | 0.0341527i | \(-0.989127\pi\) |
0.848444 | − | 0.529285i | \(-0.177540\pi\) | |||||||
\(558\) | −26.3665 | + | 33.2477i | −0.0472518 | + | 0.0595837i | ||||
\(559\) | 934.471 | 1.67168 | ||||||||
\(560\) | 102.260 | + | 95.6189i | 0.182606 | + | 0.170748i | ||||
\(561\) | −145.021 | − | 220.839i | −0.258505 | − | 0.393652i | ||||
\(562\) | 58.8790 | − | 219.739i | 0.104767 | − | 0.390995i | ||||
\(563\) | 36.4063 | + | 135.870i | 0.0646649 | + | 0.241333i | 0.990692 | − | 0.136125i | \(-0.0434650\pi\) |
−0.926027 | + | 0.377458i | \(0.876798\pi\) | |||||||
\(564\) | 19.2130 | − | 1.10520i | 0.0340656 | − | 0.00195958i | ||||
\(565\) | 621.759 | − | 131.998i | 1.10046 | − | 0.233625i | ||||
\(566\) | −167.867 | −0.296585 | ||||||||
\(567\) | 505.672 | + | 256.485i | 0.891838 | + | 0.452354i | ||||
\(568\) | 52.9597 | − | 52.9597i | 0.0932389 | − | 0.0932389i | ||||
\(569\) | 371.512 | + | 643.477i | 0.652920 | + | 1.13089i | 0.982411 | + | 0.186732i | \(0.0597896\pi\) |
−0.329491 | + | 0.944159i | \(0.606877\pi\) | |||||||
\(570\) | 281.854 | + | 482.761i | 0.494482 | + | 0.846948i | ||||
\(571\) | 90.1507 | − | 156.146i | 0.157882 | − | 0.273460i | −0.776223 | − | 0.630459i | \(-0.782867\pi\) |
0.934105 | + | 0.356999i | \(0.116200\pi\) | |||||||
\(572\) | −111.345 | + | 415.544i | −0.194658 | + | 0.726475i | ||||
\(573\) | 421.009 | + | 87.2463i | 0.734745 | + | 0.152262i | ||||
\(574\) | −18.8187 | − | 26.9396i | −0.0327852 | − | 0.0469332i | ||||
\(575\) | −588.599 | + | 92.9263i | −1.02365 | + | 0.161611i | ||||
\(576\) | −71.5251 | + | 8.25608i | −0.124175 | + | 0.0143335i | ||||
\(577\) | −250.300 | − | 934.133i | −0.433796 | − | 1.61895i | −0.743931 | − | 0.668256i | \(-0.767041\pi\) |
0.310135 | − | 0.950692i | \(-0.399626\pi\) | |||||||
\(578\) | −275.314 | + | 73.7701i | −0.476322 | + | 0.127630i | ||||
\(579\) | −383.744 | + | 762.733i | −0.662770 | + | 1.31733i | ||||
\(580\) | −303.116 | + | 154.351i | −0.522614 | + | 0.266122i | ||||
\(581\) | 697.198 | − | 60.2153i | 1.20000 | − | 0.103641i | ||||
\(582\) | −696.513 | − | 144.339i | −1.19676 | − | 0.248006i | ||||
\(583\) | −534.585 | − | 143.242i | −0.916956 | − | 0.245698i | ||||
\(584\) | 69.2543 | + | 39.9840i | 0.118586 | + | 0.0684657i | ||||
\(585\) | −327.346 | − | 974.360i | −0.559566 | − | 1.66557i | ||||
\(586\) | 66.3389 | − | 38.3008i | 0.113206 | − | 0.0653597i | ||||
\(587\) | −777.398 | − | 777.398i | −1.32436 | − | 1.32436i | −0.910210 | − | 0.414147i | \(-0.864080\pi\) |
−0.414147 | − | 0.910210i | \(-0.635920\pi\) | |||||||
\(588\) | −259.189 | + | 138.770i | −0.440797 | + | 0.236004i | ||||
\(589\) | − | 87.8557i | − | 0.149161i | ||||||
\(590\) | −268.320 | + | 56.9637i | −0.454779 | + | 0.0965487i | ||||
\(591\) | −537.655 | + | 30.9278i | −0.909738 | + | 0.0523314i | ||||
\(592\) | 184.974 | − | 49.5637i | 0.312457 | − | 0.0837225i | ||||
\(593\) | 521.442 | + | 139.720i | 0.879328 | + | 0.235615i | 0.670117 | − | 0.742255i | \(-0.266244\pi\) |
0.209211 | + | 0.977871i | \(0.432910\pi\) | |||||||
\(594\) | −354.248 | + | 61.6778i | −0.596378 | + | 0.103835i | ||||
\(595\) | −277.813 | + | 173.072i | −0.466912 | + | 0.290877i | ||||
\(596\) | − | 198.008i | − | 0.332229i | ||||||
\(597\) | 248.348 | − | 82.0960i | 0.415994 | − | 0.137514i | ||||
\(598\) | 743.727 | − | 199.281i | 1.24369 | − | 0.333246i | ||||
\(599\) | 334.255 | − | 578.947i | 0.558022 | − | 0.966523i | −0.439639 | − | 0.898174i | \(-0.644894\pi\) |
0.997662 | − | 0.0683484i | \(-0.0217730\pi\) | |||||||
\(600\) | 188.565 | − | 97.1754i | 0.314276 | − | 0.161959i | ||||
\(601\) | 586.870i | 0.976488i | 0.872707 | + | 0.488244i | \(0.162362\pi\) | ||||
−0.872707 | + | 0.488244i | \(0.837638\pi\) | |||||||
\(602\) | −398.764 | − | 70.7704i | −0.662398 | − | 0.117559i | ||||
\(603\) | 12.5584 | + | 31.7440i | 0.0208265 | + | 0.0526435i | ||||
\(604\) | 284.908 | − | 164.492i | 0.471703 | − | 0.272338i | ||||
\(605\) | 161.374 | + | 8.49731i | 0.266734 | + | 0.0140451i | ||||
\(606\) | 157.497 | − | 9.05982i | 0.259897 | − | 0.0149502i | ||||
\(607\) | −692.161 | − | 185.464i | −1.14030 | − | 0.305542i | −0.361228 | − | 0.932478i | \(-0.617642\pi\) |
−0.779071 | + | 0.626936i | \(0.784309\pi\) | |||||||
\(608\) | 105.409 | − | 105.409i | 0.173370 | − | 0.173370i | ||||
\(609\) | −102.234 | − | 706.966i | −0.167872 | − | 1.16086i | ||||
\(610\) | −203.370 | + | 625.383i | −0.333394 | + | 1.02522i | ||||
\(611\) | 63.4485 | − | 36.6320i | 0.103844 | − | 0.0599542i | ||||
\(612\) | 24.6357 | − | 166.520i | 0.0402544 | − | 0.272091i | ||||
\(613\) | 57.8477 | + | 215.891i | 0.0943682 | + | 0.352187i | 0.996923 | − | 0.0783882i | \(-0.0249774\pi\) |
−0.902555 | + | 0.430575i | \(0.858311\pi\) | |||||||
\(614\) | −308.850 | + | 178.315i | −0.503013 | + | 0.290415i | ||||
\(615\) | −48.0331 | + | 13.1206i | −0.0781027 | + | 0.0213343i | ||||
\(616\) | 78.9842 | − | 168.891i | 0.128221 | − | 0.274174i | ||||
\(617\) | 371.341 | − | 371.341i | 0.601849 | − | 0.601849i | −0.338954 | − | 0.940803i | \(-0.610073\pi\) |
0.940803 | + | 0.338954i | \(0.110073\pi\) | |||||||
\(618\) | 129.122 | − | 42.6837i | 0.208936 | − | 0.0690674i | ||||
\(619\) | −364.934 | + | 632.084i | −0.589554 | + | 1.02114i | 0.404737 | + | 0.914433i | \(0.367363\pi\) |
−0.994291 | + | 0.106704i | \(0.965970\pi\) | |||||||
\(620\) | −33.2928 | − | 1.75306i | −0.0536981 | − | 0.00282752i | ||||
\(621\) | 412.611 | + | 493.885i | 0.664430 | + | 0.795306i | ||||
\(622\) | −73.8090 | + | 73.8090i | −0.118664 | + | 0.118664i | ||||
\(623\) | 940.215 | + | 166.864i | 1.50917 | + | 0.267840i | ||||
\(624\) | −229.116 | + | 150.457i | −0.367173 | + | 0.241116i | ||||
\(625\) | −418.666 | + | 464.051i | −0.669866 | + | 0.742482i | ||||
\(626\) | 156.543 | − | 271.141i | 0.250069 | − | 0.433132i | ||||
\(627\) | 495.327 | − | 555.791i | 0.789995 | − | 0.886429i | ||||
\(628\) | 36.1571 | − | 134.940i | 0.0575751 | − | 0.214873i | ||||
\(629\) | 447.717i | 0.711791i | ||||||||
\(630\) | 65.8960 | + | 440.577i | 0.104597 | + | 0.699328i | ||||
\(631\) | 678.904 | 1.07592 | 0.537958 | − | 0.842971i | \(-0.319196\pi\) | ||||
0.537958 | + | 0.842971i | \(0.319196\pi\) | |||||||
\(632\) | 121.695 | + | 32.6081i | 0.192555 | + | 0.0515951i | ||||
\(633\) | 639.486 | + | 569.917i | 1.01025 | + | 0.900342i | ||||
\(634\) | 174.701 | + | 100.864i | 0.275553 | + | 0.159091i | ||||
\(635\) | 176.675 | − | 37.5077i | 0.278228 | − | 0.0590672i | ||||
\(636\) | −193.558 | − | 294.751i | −0.304337 | − | 0.463445i | ||||
\(637\) | −644.011 | + | 915.401i | −1.01101 | + | 1.43705i | ||||
\(638\) | 320.323 | + | 320.323i | 0.502073 | + | 0.502073i | ||||
\(639\) | 236.747 | − | 27.3275i | 0.370496 | − | 0.0427660i | ||||
\(640\) | −37.8413 | − | 42.0480i | −0.0591271 | − | 0.0657000i | ||||
\(641\) | 512.506 | + | 295.895i | 0.799541 | + | 0.461615i | 0.843310 | − | 0.537427i | \(-0.180604\pi\) |
−0.0437699 | + | 0.999042i | \(0.513937\pi\) | |||||||
\(642\) | −237.267 | − | 717.755i | −0.369575 | − | 1.11800i | ||||
\(643\) | 462.272 | + | 462.272i | 0.718930 | + | 0.718930i | 0.968386 | − | 0.249456i | \(-0.0802519\pi\) |
−0.249456 | + | 0.968386i | \(0.580252\pi\) | |||||||
\(644\) | −332.460 | + | 28.7138i | −0.516243 | + | 0.0445867i | ||||
\(645\) | −304.247 | + | 532.928i | −0.471701 | + | 0.826245i | ||||
\(646\) | 174.260 | + | 301.828i | 0.269753 | + | 0.467226i | ||||
\(647\) | 111.765 | − | 29.9472i | 0.172743 | − | 0.0462863i | −0.171411 | − | 0.985200i | \(-0.554833\pi\) |
0.344154 | + | 0.938913i | \(0.388166\pi\) | |||||||
\(648\) | −194.647 | − | 120.833i | −0.300381 | − | 0.186470i | ||||
\(649\) | 182.652 | + | 316.362i | 0.281436 | + | 0.487461i | ||||
\(650\) | 475.005 | − | 653.109i | 0.730778 | − | 1.00478i | ||||
\(651\) | 25.9678 | − | 65.0178i | 0.0398891 | − | 0.0998738i | ||||
\(652\) | −218.774 | − | 218.774i | −0.335542 | − | 0.335542i | ||||
\(653\) | −53.9679 | + | 201.411i | −0.0826460 | + | 0.308439i | −0.994858 | − | 0.101279i | \(-0.967706\pi\) |
0.912212 | + | 0.409719i | \(0.134373\pi\) | |||||||
\(654\) | 2.29741 | + | 39.9385i | 0.00351286 | + | 0.0610681i | ||||
\(655\) | −737.674 | − | 38.8429i | −1.12622 | − | 0.0593022i | ||||
\(656\) | 6.63905 | + | 11.4992i | 0.0101205 | + | 0.0175292i | ||||
\(657\) | 93.6075 | + | 236.613i | 0.142477 | + | 0.360142i | ||||
\(658\) | −29.8494 | + | 10.8267i | −0.0453639 | + | 0.0164540i | ||||
\(659\) | −971.092 | −1.47358 | −0.736792 | − | 0.676119i | \(-0.763660\pi\) | ||||
−0.736792 | + | 0.676119i | \(0.763660\pi\) | |||||||
\(660\) | −200.732 | − | 198.794i | −0.304140 | − | 0.301202i | ||||
\(661\) | −578.822 | − | 334.183i | −0.875676 | − | 0.505572i | −0.00644601 | − | 0.999979i | \(-0.502052\pi\) |
−0.869230 | + | 0.494407i | \(0.835385\pi\) | |||||||
\(662\) | 190.931 | + | 712.563i | 0.288415 | + | 1.07638i | ||||
\(663\) | −201.135 | − | 608.452i | −0.303371 | − | 0.917725i | ||||
\(664\) | −282.759 | −0.425842 | ||||||||
\(665\) | −673.694 | − | 629.945i | −1.01307 | − | 0.947286i | ||||
\(666\) | 559.166 | + | 242.153i | 0.839589 | + | 0.363593i | ||||
\(667\) | 209.844 | − | 783.147i | 0.314608 | − | 1.17413i | ||||
\(668\) | −40.3928 | − | 150.748i | −0.0604682 | − | 0.225670i | ||||
\(669\) | −22.5490 | − | 391.995i | −0.0337055 | − | 0.585941i | ||||
\(670\) | −14.6135 | + | 22.4906i | −0.0218111 | + | 0.0335680i | ||||
\(671\) | 875.797 | 1.30521 | ||||||||
\(672\) | 109.164 | − | 46.8522i | 0.162447 | − | 0.0697205i | ||||
\(673\) | 43.2365 | − | 43.2365i | 0.0642445 | − | 0.0642445i | −0.674255 | − | 0.738499i | \(-0.735535\pi\) |
0.738499 | + | 0.674255i | \(0.235535\pi\) | |||||||
\(674\) | −132.357 | − | 229.249i | −0.196375 | − | 0.340132i | ||||
\(675\) | 662.255 | + | 130.550i | 0.981119 | + | 0.193407i | ||||
\(676\) | −352.745 | + | 610.972i | −0.521812 | + | 0.903805i | ||||
\(677\) | −216.148 | + | 806.676i | −0.319273 | + | 1.19154i | 0.600671 | + | 0.799496i | \(0.294900\pi\) |
−0.919945 | + | 0.392048i | \(0.871767\pi\) | |||||||
\(678\) | 109.443 | − | 528.118i | 0.161420 | − | 0.778935i | ||||
\(679\) | 1169.25 | − | 100.986i | 1.72202 | − | 0.148727i | ||||
\(680\) | 117.854 | − | 60.0131i | 0.173315 | − | 0.0882546i | ||||
\(681\) | 56.2408 | + | 28.2957i | 0.0825856 | + | 0.0415503i | ||||
\(682\) | 11.4915 | + | 42.8869i | 0.0168497 | + | 0.0628840i | ||||
\(683\) | −903.320 | + | 242.044i | −1.32258 | + | 0.354383i | −0.849942 | − | 0.526876i | \(-0.823363\pi\) |
−0.472634 | + | 0.881259i | \(0.656697\pi\) | |||||||
\(684\) | 471.213 | − | 54.3917i | 0.688907 | − | 0.0795200i | ||||
\(685\) | −1018.01 | − | 331.050i | −1.48615 | − | 0.483285i | ||||
\(686\) | 344.143 | − | 341.853i | 0.501666 | − | 0.498328i | ||||
\(687\) | 181.115 | − | 873.976i | 0.263632 | − | 1.27216i | ||||
\(688\) | 158.067 | + | 42.3539i | 0.229748 | + | 0.0615608i | ||||
\(689\) | −1162.57 | − | 671.210i | −1.68733 | − | 0.974180i | ||||
\(690\) | −128.495 | + | 489.029i | −0.186224 | + | 0.708738i | ||||
\(691\) | −893.269 | + | 515.729i | −1.29272 | + | 0.746352i | −0.979136 | − | 0.203208i | \(-0.934863\pi\) |
−0.313584 | + | 0.949560i | \(0.601530\pi\) | |||||||
\(692\) | −188.792 | − | 188.792i | −0.272821 | − | 0.272821i | ||||
\(693\) | 530.845 | − | 264.909i | 0.766009 | − | 0.382264i | ||||
\(694\) | 278.304i | 0.401014i | ||||||||
\(695\) | −38.4149 | + | 59.1217i | −0.0552733 | + | 0.0850672i | ||||
\(696\) | 16.5756 | + | 288.153i | 0.0238155 | + | 0.414012i | ||||
\(697\) | −29.9858 | + | 8.03466i | −0.0430212 | + | 0.0115275i | ||||
\(698\) | −385.296 | − | 103.240i | −0.552000 | − | 0.147908i | ||||
\(699\) | 48.0996 | − | 31.5862i | 0.0688120 | − | 0.0451877i | ||||
\(700\) | −252.159 | + | 242.725i | −0.360228 | + | 0.346751i | ||||
\(701\) | 508.656i | 0.725615i | 0.931864 | + | 0.362807i | \(0.118182\pi\) | ||||
−0.931864 | + | 0.362807i | \(0.881818\pi\) | |||||||
\(702\) | −868.699 | − | 77.8855i | −1.23746 | − | 0.110948i | ||||
\(703\) | −1218.63 | + | 326.530i | −1.73346 | + | 0.464480i | ||||
\(704\) | −37.6681 | + | 65.2431i | −0.0535059 | + | 0.0926749i | ||||
\(705\) | 0.233482 | + | 48.1114i | 0.000331180 | + | 0.0682431i | ||||
\(706\) | − | 638.604i | − | 0.904538i | ||||||
\(707\) | −244.689 | + | 88.7512i | −0.346094 | + | 0.125532i | ||||
\(708\) | −47.2299 | + | 227.909i | −0.0667088 | + | 0.321905i | ||||
\(709\) | 86.1429 | − | 49.7346i | 0.121499 | − | 0.0701476i | −0.438019 | − | 0.898966i | \(-0.644320\pi\) |
0.559518 | + | 0.828818i | \(0.310986\pi\) | |||||||
\(710\) | 125.254 | + | 139.178i | 0.176414 | + | 0.196025i | ||||
\(711\) | 238.934 | + | 321.907i | 0.336054 | + | 0.452753i | ||||
\(712\) | −372.694 | − | 99.8630i | −0.523446 | − | 0.140257i | ||||
\(713\) | 56.1904 | − | 56.1904i | 0.0788084 | − | 0.0788084i | ||||
\(714\) | 39.7496 | + | 274.875i | 0.0556717 | + | 0.384979i | ||||
\(715\) | −1022.79 | − | 332.603i | −1.43047 | − | 0.465179i | ||||
\(716\) | 440.003 | − | 254.036i | 0.614530 | − | 0.354799i | ||||
\(717\) | 309.616 | + | 275.933i | 0.431822 | + | 0.384844i | ||||
\(718\) | 122.653 | + | 457.746i | 0.170825 | + | 0.637529i | ||||
\(719\) | 497.276 | − | 287.102i | 0.691621 | − | 0.399308i | −0.112598 | − | 0.993641i | \(-0.535917\pi\) |
0.804219 | + | 0.594333i | \(0.202584\pi\) | |||||||
\(720\) | −11.2091 | − | 179.651i | −0.0155682 | − | 0.249515i | ||||
\(721\) | −183.944 | + | 128.494i | −0.255123 | + | 0.178216i | ||||
\(722\) | −333.444 | + | 333.444i | −0.461834 | + | 0.461834i | ||||
\(723\) | −212.953 | − | 644.203i | −0.294541 | − | 0.891014i | ||||
\(724\) | −307.420 | + | 532.468i | −0.424614 | + | 0.735453i | ||||
\(725\) | −345.497 | − | 777.033i | −0.476547 | − | 1.07177i | ||||
\(726\) | 61.6273 | − | 122.491i | 0.0848861 | − | 0.168720i | ||||
\(727\) | 538.164 | − | 538.164i | 0.740254 | − | 0.740254i | −0.232373 | − | 0.972627i | \(-0.574649\pi\) |
0.972627 | + | 0.232373i | \(0.0746491\pi\) | |||||||
\(728\) | 291.082 | − | 346.115i | 0.399838 | − | 0.475433i | ||||
\(729\) | −246.382 | − | 686.103i | −0.337972 | − | 0.941156i | ||||
\(730\) | −108.926 | + | 167.640i | −0.149213 | + | 0.229644i | ||||
\(731\) | −191.294 | + | 331.331i | −0.261689 | + | 0.453258i | ||||
\(732\) | 416.580 | + | 371.261i | 0.569099 | + | 0.507187i | ||||
\(733\) | −336.084 | + | 1254.28i | −0.458505 | + | 1.71116i | 0.219069 | + | 0.975709i | \(0.429698\pi\) |
−0.677574 | + | 0.735454i | \(0.736969\pi\) | |||||||
\(734\) | 876.319i | 1.19390i | ||||||||
\(735\) | −312.374 | − | 665.318i | −0.424998 | − | 0.905194i | ||||
\(736\) | 134.834 | 0.183199 | ||||||||
\(737\) | 34.5026 | + | 9.24494i | 0.0468149 | + | 0.0125440i | ||||
\(738\) | −6.18344 | + | 41.7958i | −0.00837865 | + | 0.0566338i | ||||
\(739\) | −1252.93 | − | 723.380i | −1.69544 | − | 0.978863i | −0.949979 | − | 0.312314i | \(-0.898896\pi\) |
−0.745462 | − | 0.666549i | \(-0.767771\pi\) | |||||||
\(740\) | 99.4216 | + | 468.312i | 0.134353 | + | 0.632854i | ||||
\(741\) | 1509.43 | − | 991.219i | 2.03702 | − | 1.33768i | ||||
\(742\) | 445.267 | + | 374.468i | 0.600090 | + | 0.504674i | ||||
\(743\) | 213.369 | + | 213.369i | 0.287173 | + | 0.287173i | 0.835961 | − | 0.548788i | \(-0.184911\pi\) |
−0.548788 | + | 0.835961i | \(0.684911\pi\) | |||||||
\(744\) | −12.7142 | + | 25.2709i | −0.0170890 | + | 0.0339662i | ||||
\(745\) | 494.336 | + | 26.0298i | 0.663539 | + | 0.0349393i | ||||
\(746\) | −401.090 | − | 231.570i | −0.537655 | − | 0.310415i | ||||
\(747\) | −704.964 | − | 559.059i | −0.943727 | − | 0.748406i | ||||
\(748\) | −124.544 | − | 124.544i | −0.166503 | − | 0.166503i | ||||
\(749\) | 714.263 | + | 1022.49i | 0.953623 | + | 1.36514i | ||||
\(750\) | 217.814 | + | 483.536i | 0.290419 | + | 0.644715i | ||||
\(751\) | −439.885 | − | 761.904i | −0.585733 | − | 1.01452i | −0.994784 | − | 0.102008i | \(-0.967473\pi\) |
0.409051 | − | 0.912512i | \(-0.365860\pi\) | |||||||
\(752\) | 12.3927 | − | 3.32061i | 0.0164796 | − | 0.00441571i | ||||
\(753\) | 386.552 | + | 344.500i | 0.513350 | + | 0.457503i | ||||
\(754\) | 549.399 | + | 951.587i | 0.728646 | + | 1.26205i | ||||
\(755\) | 373.208 | + | 732.910i | 0.494315 | + | 0.970741i | ||||
\(756\) | 364.799 | + | 99.0251i | 0.482538 | + | 0.130986i | ||||
\(757\) | 38.0541 | + | 38.0541i | 0.0502697 | + | 0.0502697i | 0.731795 | − | 0.681525i | \(-0.238683\pi\) |
−0.681525 | + | 0.731795i | \(0.738683\pi\) | |||||||
\(758\) | 43.6122 | − | 162.763i | 0.0575359 | − | 0.214727i | ||||
\(759\) | 672.270 | − | 38.6714i | 0.885731 | − | 0.0509504i | ||||
\(760\) | 249.302 | + | 277.015i | 0.328028 | + | 0.364494i | ||||
\(761\) | 499.455 | + | 865.081i | 0.656314 | + | 1.13677i | 0.981563 | + | 0.191140i | \(0.0612185\pi\) |
−0.325249 | + | 0.945628i | \(0.605448\pi\) | |||||||
\(762\) | 31.0985 | − | 150.066i | 0.0408116 | − | 0.196937i | ||||
\(763\) | −22.5057 | − | 62.0487i | −0.0294964 | − | 0.0813220i | ||||
\(764\) | 286.636 | 0.375178 | ||||||||
\(765\) | 412.485 | + | 83.3943i | 0.539197 | + | 0.109012i | ||||
\(766\) | −404.704 | − | 233.656i | −0.528334 | − | 0.305034i | ||||
\(767\) | 229.333 | + | 855.881i | 0.298999 | + | 1.11588i | ||||
\(768\) | −45.5745 | + | 15.0655i | −0.0593418 | + | 0.0196165i | ||||
\(769\) | 464.020 | 0.603407 | 0.301704 | − | 0.953402i | \(-0.402445\pi\) | ||||
0.301704 | + | 0.953402i | \(0.402445\pi\) | |||||||
\(770\) | 411.261 | + | 219.389i | 0.534105 | + | 0.284921i | ||||
\(771\) | 1188.58 | − | 780.524i | 1.54161 | − | 1.01235i | ||||
\(772\) | −147.324 | + | 549.822i | −0.190835 | + | 0.712205i | ||||
\(773\) | −91.5620 | − | 341.714i | −0.118450 | − | 0.442062i | 0.881072 | − | 0.472983i | \(-0.156823\pi\) |
−0.999522 | + | 0.0309207i | \(0.990156\pi\) | |||||||
\(774\) | 310.346 | + | 418.118i | 0.400963 | + | 0.540204i | ||||
\(775\) | 8.75320 | − | 82.8864i | 0.0112944 | − | 0.106950i | ||||
\(776\) | −474.208 | −0.611093 | ||||||||
\(777\) | −998.359 | − | 118.544i | −1.28489 | − | 0.152566i | ||||
\(778\) | −297.635 | + | 297.635i | −0.382564 | + | 0.382564i | ||||
\(779\) | −43.7386 | − | 75.7575i | −0.0561471 | − | 0.0972496i | ||||
\(780\) | −345.502 | − | 591.776i | −0.442951 | − | 0.758687i | ||||
\(781\) | 124.681 | − | 215.953i | 0.159642 | − | 0.276509i | ||||
\(782\) | −81.5891 | + | 304.495i | −0.104334 | + | 0.389380i | ||||
\(783\) | −528.397 | + | 751.183i | −0.674837 | + | 0.959366i | ||||
\(784\) | −150.425 | + | 125.652i | −0.191868 | + | 0.160270i | ||||
\(785\) | 332.131 | + | 108.007i | 0.423097 | + | 0.137588i | ||||
\(786\) | −281.711 | + | 559.931i | −0.358411 | + | 0.712380i | ||||
\(787\) | 273.087 | + | 1019.18i | 0.346998 | + | 1.29501i | 0.890261 | + | 0.455451i | \(0.150522\pi\) |
−0.543263 | + | 0.839562i | \(0.682811\pi\) | |||||||
\(788\) | −346.796 | + | 92.9236i | −0.440096 | + | 0.117923i | ||||
\(789\) | −755.433 | − | 380.071i | −0.957456 | − | 0.481713i | ||||
\(790\) | −97.4052 | + | 299.530i | −0.123298 | + | 0.379152i | ||||
\(791\) | 76.5703 | + | 886.563i | 0.0968019 | + | 1.12081i | ||||
\(792\) | −222.908 | + | 88.1858i | −0.281450 | + | 0.111346i | ||||
\(793\) | 2051.93 | + | 549.813i | 2.58755 | + | 0.693333i | ||||
\(794\) | 385.250 | + | 222.424i | 0.485202 | + | 0.280131i | ||||
\(795\) | 761.303 | − | 444.478i | 0.957614 | − | 0.559092i | ||||
\(796\) | 151.015 | − | 87.1886i | 0.189717 | − | 0.109533i | ||||
\(797\) | 409.164 | + | 409.164i | 0.513380 | + | 0.513380i | 0.915560 | − | 0.402180i | \(-0.131748\pi\) |
−0.402180 | + | 0.915560i | \(0.631748\pi\) | |||||||
\(798\) | −719.184 | + | 308.666i | −0.901233 | + | 0.386799i | ||||
\(799\) | 29.9956i | 0.0375414i | ||||||||
\(800\) | 109.949 | − | 88.9449i | 0.137436 | − | 0.111181i | ||||
\(801\) | −731.741 | − | 985.848i | −0.913534 | − | 1.23077i | ||||
\(802\) | −252.430 | + | 67.6385i | −0.314751 | + | 0.0843372i | ||||
\(803\) | 257.175 | + | 68.9098i | 0.320268 | + | 0.0858155i | ||||
\(804\) | 12.4924 | + | 19.0235i | 0.0155378 | + | 0.0236611i | ||||
\(805\) | −27.9807 | − | 833.776i | −0.0347587 | − | 1.03575i | ||||
\(806\) | 107.695i | 0.133617i | ||||||||
\(807\) | 115.427 | + | 349.179i | 0.143033 | + | 0.432688i | ||||
\(808\) | 101.588 | − | 27.2205i | 0.125728 | − | 0.0336887i | ||||
\(809\) | −306.322 | + | 530.566i | −0.378643 | + | 0.655829i | −0.990865 | − | 0.134857i | \(-0.956943\pi\) |
0.612222 | + | 0.790686i | \(0.290276\pi\) | |||||||
\(810\) | 327.251 | − | 470.060i | 0.404014 | − | 0.580321i | ||||
\(811\) | − | 214.154i | − | 0.264062i | −0.991246 | − | 0.132031i | \(-0.957850\pi\) | ||
0.991246 | − | 0.132031i | \(-0.0421499\pi\) | |||||||
\(812\) | −162.377 | − | 447.675i | −0.199971 | − | 0.551324i | ||||
\(813\) | −300.875 | − | 62.3508i | −0.370080 | − | 0.0766922i | ||||
\(814\) | 552.163 | − | 318.791i | 0.678333 | − | 0.391636i | ||||
\(815\) | 574.937 | − | 517.418i | 0.705444 | − | 0.634868i | ||||
\(816\) | −6.44474 | − | 112.036i | −0.00789796 | − | 0.137300i | ||||
\(817\) | −1041.36 | − | 279.030i | −1.27461 | − | 0.341530i | ||||
\(818\) | 422.065 | − | 422.065i | 0.515972 | − | 0.515972i | ||||
\(819\) | 1410.04 | − | 287.406i | 1.72166 | − | 0.350923i | ||||
\(820\) | −29.5809 | + | 15.0630i | −0.0360743 | + | 0.0183695i | ||||
\(821\) | −917.174 | + | 529.531i | −1.11714 | + | 0.644982i | −0.940670 | − | 0.339323i | \(-0.889802\pi\) |
−0.176472 | + | 0.984306i | \(0.556469\pi\) | |||||||
\(822\) | −604.345 | + | 678.117i | −0.735213 | + | 0.824960i | ||||
\(823\) | 210.370 | + | 785.111i | 0.255614 | + | 0.953963i | 0.967748 | + | 0.251920i | \(0.0810619\pi\) |
−0.712135 | + | 0.702043i | \(0.752271\pi\) | |||||||
\(824\) | 78.5163 | − | 45.3314i | 0.0952868 | − | 0.0550139i | ||||
\(825\) | 522.684 | − | 475.004i | 0.633557 | − | 0.575762i | ||||
\(826\) | −33.0439 | − | 382.595i | −0.0400047 | − | 0.463190i | ||||
\(827\) | 557.575 | − | 557.575i | 0.674215 | − | 0.674215i | −0.284470 | − | 0.958685i | \(-0.591818\pi\) |
0.958685 | + | 0.284470i | \(0.0918177\pi\) | |||||||
\(828\) | 336.164 | + | 266.589i | 0.405995 | + | 0.321967i | ||||
\(829\) | −62.6152 | + | 108.453i | −0.0755310 | + | 0.130824i | −0.901317 | − | 0.433160i | \(-0.857399\pi\) |
0.825786 | + | 0.563984i | \(0.190732\pi\) | |||||||
\(830\) | 37.1709 | − | 705.920i | 0.0447842 | − | 0.850506i | ||||
\(831\) | 584.069 | + | 293.855i | 0.702850 | + | 0.353616i | ||||
\(832\) | −129.212 | + | 129.212i | −0.155303 | + | 0.155303i | ||||
\(833\) | −192.735 | − | 415.735i | −0.231375 | − | 0.499082i | ||||
\(834\) | 32.8392 | + | 50.0077i | 0.0393755 | + | 0.0599612i | ||||
\(835\) | 381.658 | − | 81.0253i | 0.457076 | − | 0.0970362i | ||||
\(836\) | 248.160 | − | 429.826i | 0.296843 | − | 0.514147i | ||||
\(837\) | −81.6630 | + | 37.8664i | −0.0975664 | + | 0.0452406i | ||||
\(838\) | 213.649 | − | 797.349i | 0.254951 | − | 0.951490i | ||||
\(839\) | 217.574i | 0.259326i | 0.991558 | + | 0.129663i | \(0.0413895\pi\) | ||||
−0.991558 | + | 0.129663i | \(0.958611\pi\) | |||||||
\(840\) | 102.618 | + | 278.693i | 0.122164 | + | 0.331777i | ||||
\(841\) | 316.037 | 0.375787 | ||||||||
\(842\) | 867.267 | + | 232.383i | 1.03001 | + | 0.275990i | ||||
\(843\) | 321.076 | − | 360.270i | 0.380874 | − | 0.427366i | ||||
\(844\) | 494.553 | + | 285.530i | 0.585963 | + | 0.338306i | ||||
\(845\) | −1478.95 | − | 960.960i | −1.75023 | − | 1.13723i | ||||
\(846\) | 37.4623 | + | 16.2235i | 0.0442817 | + | 0.0191767i | ||||
\(847\) | −39.5335 | + | 222.756i | −0.0466747 | + | 0.262994i | ||||
\(848\) | −166.228 | − | 166.228i | −0.196024 | − | 0.196024i | ||||
\(849\) | −318.108 | − | 160.046i | −0.374685 | − | 0.188511i | ||||
\(850\) | 134.332 | + | 302.118i | 0.158038 | + | 0.355433i | ||||
\(851\) | −988.244 | − | 570.563i | −1.16127 | − | 0.670462i | ||||
\(852\) | 150.851 | − | 49.8664i | 0.177055 | − | 0.0585286i | ||||
\(853\) | −255.607 | − | 255.607i | −0.299657 | − | 0.299657i | 0.541222 | − | 0.840879i | \(-0.317962\pi\) |
−0.840879 | + | 0.541222i | \(0.817962\pi\) | |||||||
\(854\) | −833.974 | − | 390.019i | −0.976551 | − | 0.456697i | ||||
\(855\) | 73.8465 | + | 1183.55i | 0.0863702 | + | 1.38427i | ||||
\(856\) | −251.985 | − | 436.451i | −0.294375 | − | 0.509873i | ||||
\(857\) | 220.219 | − | 59.0075i | 0.256965 | − | 0.0688536i | −0.128037 | − | 0.991769i | \(-0.540868\pi\) |
0.385002 | + | 0.922916i | \(0.374201\pi\) | |||||||
\(858\) | −607.180 | + | 681.298i | −0.707669 | + | 0.794054i | ||||
\(859\) | −193.810 | − | 335.689i | −0.225623 | − | 0.390791i | 0.730883 | − | 0.682503i | \(-0.239109\pi\) |
−0.956506 | + | 0.291712i | \(0.905775\pi\) | |||||||
\(860\) | −126.517 | + | 389.052i | −0.147113 | + | 0.452386i | ||||
\(861\) | −9.97697 | − | 68.9924i | −0.0115877 | − | 0.0801306i | ||||
\(862\) | −15.9622 | − | 15.9622i | −0.0185177 | − | 0.0185177i | ||||
\(863\) | −347.989 | + | 1298.71i | −0.403232 | + | 1.50488i | 0.404062 | + | 0.914732i | \(0.367598\pi\) |
−0.807294 | + | 0.590150i | \(0.799069\pi\) | |||||||
\(864\) | −143.411 | − | 52.5472i | −0.165985 | − | 0.0608185i | ||||
\(865\) | 496.145 | − | 446.508i | 0.573578 | − | 0.516195i | ||||
\(866\) | −106.458 | − | 184.391i | −0.122931 | − | 0.212923i | ||||
\(867\) | −592.052 | − | 122.692i | −0.682874 | − | 0.141513i | ||||
\(868\) | 8.15608 | − | 45.9563i | 0.00939640 | − | 0.0529451i | ||||
\(869\) | 419.467 | 0.482701 | ||||||||
\(870\) | −721.564 | + | 3.50170i | −0.829384 | + | 0.00402495i | ||||
\(871\) | 75.0333 | + | 43.3205i | 0.0861461 | + | 0.0497365i | ||||
\(872\) | 6.90263 | + | 25.7610i | 0.00791586 | + | 0.0295424i | ||||
\(873\) | −1182.28 | − | 937.583i | −1.35427 | − | 1.07398i | ||||
\(874\) | −888.299 | −1.01636 | ||||||||
\(875\) | −572.826 | − | 661.435i | −0.654658 | − | 0.755925i | ||||
\(876\) | 93.1157 | + | 141.797i | 0.106297 | + | 0.161869i | ||||
\(877\) | 42.6770 | − | 159.273i | 0.0486624 | − | 0.181611i | −0.937317 | − | 0.348478i | \(-0.886699\pi\) |
0.985979 | + | 0.166867i | \(0.0533652\pi\) | |||||||
\(878\) | 63.6523 | + | 237.553i | 0.0724969 | + | 0.270562i | ||||
\(879\) | 162.228 | − | 9.33195i | 0.184560 | − | 0.0106166i | ||||
\(880\) | −157.930 | − | 102.617i | −0.179466 | − | 0.116610i | ||||
\(881\) | −687.003 | −0.779799 | −0.389899 | − | 0.920857i | \(-0.627490\pi\) | ||||
−0.389899 | + | 0.920857i | \(0.627490\pi\) | |||||||
\(882\) | −623.467 | + | 15.8575i | −0.706878 | + | 0.0179790i | ||||
\(883\) | 482.231 | − | 482.231i | 0.546128 | − | 0.546128i | −0.379190 | − | 0.925319i | \(-0.623797\pi\) |
0.925319 | + | 0.379190i | \(0.123797\pi\) | |||||||
\(884\) | −213.611 | − | 369.986i | −0.241642 | − | 0.418536i | ||||
\(885\) | −562.775 | − | 147.872i | −0.635904 | − | 0.167087i | ||||
\(886\) | −18.2049 | + | 31.5318i | −0.0205473 | + | 0.0355889i | ||||
\(887\) | 102.834 | − | 383.783i | 0.115935 | − | 0.432675i | −0.883420 | − | 0.468582i | \(-0.844765\pi\) |
0.999355 | + | 0.0359064i | \(0.0114318\pi\) | |||||||
\(888\) | 397.780 | + | 82.4326i | 0.447951 | + | 0.0928295i | ||||
\(889\) | 21.7577 | + | 251.920i | 0.0244743 | + | 0.283374i | ||||
\(890\) | 298.306 | − | 917.318i | 0.335175 | − | 1.03069i | ||||
\(891\) | −730.104 | − | 220.863i | −0.819421 | − | 0.247883i | ||||
\(892\) | −67.7490 | − | 252.843i | −0.0759518 | − | 0.283456i | ||||
\(893\) | −81.6440 | + | 21.8764i | −0.0914266 | + | 0.0244977i | ||||
\(894\) | 188.783 | − | 375.226i | 0.211166 | − | 0.419715i | ||||
\(895\) | 576.370 | + | 1131.88i | 0.643988 | + | 1.26467i | ||||
\(896\) | 64.9240 | − | 45.3527i | 0.0724599 | − | 0.0506169i | ||||
\(897\) | 1599.36 | + | 331.437i | 1.78301 | + | 0.369495i | ||||
\(898\) | −805.971 | − | 215.959i | −0.897518 | − | 0.240489i | ||||
\(899\) | 98.2100 | + | 56.7016i | 0.109244 | + | 0.0630718i | ||||
\(900\) | 449.979 | − | 4.36754i | 0.499976 | − | 0.00485282i | ||||
\(901\) | 475.976 | − | 274.805i | 0.528275 | − | 0.305000i | ||||
\(902\) | 31.2601 | + | 31.2601i | 0.0346564 | + | 0.0346564i | ||||
\(903\) | −688.184 | − | 514.294i | −0.762108 | − | 0.569539i | ||||
\(904\) | − | 359.559i | − | 0.397742i | ||||||
\(905\) | −1288.92 | − | 837.485i | −1.42422 | − | 0.925398i | ||||
\(906\) | 696.729 | − | 40.0783i | 0.769016 | − | 0.0442366i | ||||
\(907\) | 294.172 | − | 78.8230i | 0.324335 | − | 0.0869052i | −0.0929781 | − | 0.995668i | \(-0.529639\pi\) |
0.417313 | + | 0.908763i | \(0.362972\pi\) | |||||||
\(908\) | 40.5417 | + | 10.8631i | 0.0446494 | + | 0.0119638i | ||||
\(909\) | 307.095 | + | 132.991i | 0.337838 | + | 0.146304i | ||||
\(910\) | 825.825 | + | 772.197i | 0.907500 | + | 0.848568i | ||||
\(911\) | 1039.66i | 1.14123i | 0.821217 | + | 0.570616i | \(0.193295\pi\) | ||||
−0.821217 | + | 0.570616i | \(0.806705\pi\) | |||||||
\(912\) | 300.248 | − | 99.2524i | 0.329219 | − | 0.108829i | ||||
\(913\) | −909.347 | + | 243.659i | −0.995999 | + | 0.266877i | ||||
\(914\) | −296.144 | + | 512.936i | −0.324009 | + | 0.561199i | ||||
\(915\) | −981.630 | + | 991.204i | −1.07282 | + | 1.08328i | ||||
\(916\) | − | 595.030i | − | 0.649596i | ||||||
\(917\) | 180.716 | − | 1018.26i | 0.197073 | − | 1.11043i | ||||
\(918\) | 205.446 | − | 292.067i | 0.223797 | − | 0.318156i | ||||
\(919\) | −182.051 | + | 105.107i | −0.198097 | + | 0.114371i | −0.595768 | − | 0.803157i | \(-0.703152\pi\) |
0.397671 | + | 0.917528i | \(0.369819\pi\) | |||||||
\(920\) | −17.7250 | + | 336.620i | −0.0192663 | + | 0.365891i | ||||
\(921\) | −755.277 | + | 43.4463i | −0.820062 | + | 0.0471729i | ||||
\(922\) | −860.764 | − | 230.641i | −0.933584 | − | 0.250153i | ||||
\(923\) | 427.691 | − | 427.691i | 0.463370 | − | 0.463370i | ||||
\(924\) | 310.697 | − | 244.744i | 0.336252 | − | 0.264875i | ||||
\(925\) | −1182.23 | + | 186.647i | −1.27809 | + | 0.201780i | ||||
\(926\) | 189.971 | − | 109.680i | 0.205152 | − | 0.118444i | ||||
\(927\) | 285.381 | + | 42.2205i | 0.307855 | + | 0.0455453i | ||||
\(928\) | 49.8018 | + | 185.863i | 0.0536657 | + | 0.200283i | ||||
\(929\) | −281.902 | + | 162.756i | −0.303447 | + | 0.175195i | −0.643990 | − | 0.765034i | \(-0.722722\pi\) |
0.340544 | + | 0.940229i | \(0.389389\pi\) | |||||||
\(930\) | −61.4184 | − | 35.0636i | −0.0660413 | − | 0.0377028i | ||||
\(931\) | 991.009 | − | 827.805i | 1.06446 | − | 0.889156i | ||||
\(932\) | 27.1263 | − | 27.1263i | 0.0291055 | − | 0.0291055i | ||||
\(933\) | −210.238 | + | 69.4979i | −0.225335 | + | 0.0744887i | ||||
\(934\) | 621.684 | − | 1076.79i | 0.665614 | − | 1.15288i | ||||
\(935\) | 327.303 | − | 294.558i | 0.350056 | − | 0.315035i | ||||
\(936\) | −577.620 | + | 66.6742i | −0.617116 | + | 0.0712332i | ||||
\(937\) | 760.474 | − | 760.474i | 0.811605 | − | 0.811605i | −0.173269 | − | 0.984874i | \(-0.555433\pi\) |
0.984874 | + | 0.173269i | \(0.0554331\pi\) | |||||||
\(938\) | −28.7379 | − | 24.1685i | −0.0306374 | − | 0.0257660i | ||||
\(939\) | 555.156 | − | 364.562i | 0.591220 | − | 0.388244i | ||||
\(940\) | 6.66093 | + | 31.3754i | 0.00708609 | + | 0.0333781i | ||||
\(941\) | 227.399 | − | 393.866i | 0.241656 | − | 0.418561i | −0.719530 | − | 0.694461i | \(-0.755643\pi\) |
0.961186 | + | 0.275900i | \(0.0889760\pi\) | |||||||
\(942\) | 197.171 | − | 221.239i | 0.209311 | − | 0.234861i | ||||
\(943\) | 20.4785 | − | 76.4268i | 0.0217163 | − | 0.0810464i | ||||
\(944\) | 155.167i | 0.164372i | ||||||||
\(945\) | −295.176 | + | 897.717i | −0.312355 | + | 0.949965i | ||||
\(946\) | 544.836 | 0.575936 | ||||||||
\(947\) | −1172.04 | − | 314.048i | −1.23764 | − | 0.331624i | −0.420090 | − | 0.907483i | \(-0.638001\pi\) |
−0.817550 | + | 0.575858i | \(0.804668\pi\) | |||||||
\(948\) | 199.523 | + | 177.817i | 0.210467 | + | 0.187571i | ||||
\(949\) | 559.282 | + | 322.902i | 0.589338 | + | 0.340255i | ||||
\(950\) | −724.353 | + | 585.976i | −0.762477 | + | 0.616817i | ||||
\(951\) | 234.894 | + | 357.697i | 0.246997 | + | 0.376128i | ||||
\(952\) | 63.1335 | + | 174.060i | 0.0663167 | + | 0.182836i | ||||
\(953\) | 896.876 | + | 896.876i | 0.941109 | + | 0.941109i | 0.998360 | − | 0.0572512i | \(-0.0182336\pi\) |
−0.0572512 | + | 0.998360i | \(0.518234\pi\) | |||||||
\(954\) | −85.7745 | − | 743.092i | −0.0899104 | − | 0.778922i | ||||
\(955\) | −37.6806 | + | 715.599i | −0.0394561 | + | 0.749318i | ||||
\(956\) | 239.445 | + | 138.243i | 0.250465 | + | 0.144606i | ||||
\(957\) | 301.613 | + | 912.408i | 0.315165 | + | 0.953405i | ||||
\(958\) | −104.726 | − | 104.726i | −0.109318 | − | 0.109318i | ||||
\(959\) | 634.880 | − | 1357.56i | 0.662023 | − | 1.41560i | ||||
\(960\) | −31.6204 | − | 115.759i | −0.0329379 | − | 0.120582i | ||||
\(961\) | −474.943 | − | 822.625i | −0.494217 | − | 0.856009i | ||||
\(962\) | 1493.81 | − | 400.266i | 1.55282 | − | 0.416076i | ||||
\(963\) | 234.692 | − | 1586.36i | 0.243710 | − | 1.64731i | ||||
\(964\) | −226.163 | − | 391.725i | −0.234609 | − | 0.406354i | ||||
\(965\) | −1353.29 | − | 440.080i | −1.40237 | − | 0.456041i | ||||
\(966\) | −657.388 | − | 262.557i | −0.680526 | − | 0.271798i | ||||
\(967\) | 307.000 | + | 307.000i | 0.317477 | + | 0.317477i | 0.847797 | − | 0.530320i | \(-0.177928\pi\) |
−0.530320 | + | 0.847797i | \(0.677928\pi\) | |||||||
\(968\) | 23.6596 | − | 88.2987i | 0.0244417 | − | 0.0912176i | ||||
\(969\) | 42.4584 | + | 738.105i | 0.0438168 | + | 0.761718i | ||||
\(970\) | 62.3383 | − | 1183.88i | 0.0642663 | − | 1.22049i | ||||
\(971\) | −442.218 | − | 765.945i | −0.455426 | − | 0.788821i | 0.543287 | − | 0.839547i | \(-0.317180\pi\) |
−0.998713 | + | 0.0507266i | \(0.983846\pi\) | |||||||
\(972\) | −253.653 | − | 414.555i | −0.260960 | − | 0.426497i | ||||
\(973\) | −75.5443 | − | 63.5326i | −0.0776406 | − | 0.0652955i | ||||
\(974\) | 782.885 | 0.803783 | ||||||||
\(975\) | 1522.81 | − | 784.766i | 1.56186 | − | 0.804889i | ||||
\(976\) | 322.166 | + | 186.003i | 0.330088 | + | 0.190577i | ||||
\(977\) | 387.848 | + | 1447.47i | 0.396979 | + | 1.48155i | 0.818383 | + | 0.574673i | \(0.194871\pi\) |
−0.421404 | + | 0.906873i | \(0.638463\pi\) | |||||||
\(978\) | −205.995 | − | 623.156i | −0.210629 | − | 0.637173i | ||||
\(979\) | −1284.63 | −1.31218 | ||||||||
\(980\) | −293.921 | − | 392.059i | −0.299919 | − | 0.400061i | ||||
\(981\) | −33.7241 | + | 77.8738i | −0.0343772 | + | 0.0793820i | ||||
\(982\) | −77.7216 | + | 290.061i | −0.0791462 | + | 0.295378i | ||||
\(983\) | −387.163 | − | 1444.91i | −0.393859 | − | 1.46990i | −0.823715 | − | 0.567004i | \(-0.808102\pi\) |
0.429856 | − | 0.902897i | \(-0.358564\pi\) | |||||||
\(984\) | 1.61760 | + | 28.1206i | 0.00164390 | + | 0.0285779i | ||||
\(985\) | −186.399 | − | 878.005i | −0.189237 | − | 0.891375i | ||||
\(986\) | −449.867 | −0.456254 | ||||||||
\(987\) | −66.8869 | − | 7.94206i | −0.0677679 | − | 0.00804666i | ||||
\(988\) | 851.261 | − | 851.261i | 0.861600 | − | 0.861600i | ||||
\(989\) | −487.565 | − | 844.487i | −0.492988 | − | 0.853880i | ||||
\(990\) | −190.856 | − | 568.093i | −0.192784 | − | 0.573831i | ||||
\(991\) | −700.783 | + | 1213.79i | −0.707148 | + | 1.22482i | 0.258763 | + | 0.965941i | \(0.416685\pi\) |
−0.965911 | + | 0.258875i | \(0.916648\pi\) | |||||||
\(992\) | −4.88116 | + | 18.2167i | −0.00492052 | + | 0.0183636i | ||||
\(993\) | −317.549 | + | 1532.34i | −0.319788 | + | 1.54314i | ||||
\(994\) | −214.897 | + | 150.117i | −0.216194 | + | 0.151023i | ||||
\(995\) | 197.818 | + | 388.477i | 0.198812 | + | 0.390429i | ||||
\(996\) | −535.828 | − | 269.584i | −0.537980 | − | 0.270667i | ||||
\(997\) | 481.571 | + | 1797.25i | 0.483020 | + | 1.80265i | 0.588817 | + | 0.808266i | \(0.299594\pi\) |
−0.105798 | + | 0.994388i | \(0.533740\pi\) | |||||||
\(998\) | −228.628 | + | 61.2607i | −0.229086 | + | 0.0613834i | ||||
\(999\) | 828.748 | + | 991.992i | 0.829578 | + | 0.992985i |
(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 | 210.3.w.b.17.12 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.17.10 | ✓ | 64 | ||
5.3 | odd | 4 | 210.3.w.a.143.5 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.b.47.15 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.b.143.15 | yes | 64 | |
21.5 | even | 6 | 210.3.w.a.47.5 | yes | 64 | ||
35.33 | even | 12 | 210.3.w.a.173.10 | yes | 64 | ||
105.68 | odd | 12 | inner | 210.3.w.b.173.12 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.10 | ✓ | 64 | 3.2 | odd | 2 | ||
210.3.w.a.47.5 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.a.143.5 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.a.173.10 | yes | 64 | 35.33 | even | 12 | ||
210.3.w.b.17.12 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.47.15 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.143.15 | yes | 64 | 15.8 | even | 4 | inner | |
210.3.w.b.173.12 | yes | 64 | 105.68 | odd | 12 | inner |