Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [152,2,Mod(27,152)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(152, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("152.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 152 = 2^{3} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 152.o (of order \(6\), degree \(2\), 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: | \(1.21372611072\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 107.13 | ||
Character | \(\chi\) | \(=\) | 152.107 |
Dual form | 152.2.o.c.27.13 |
$q$-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 \(\left(\mathbb{Z}/152\mathbb{Z}\right)^\times\).
\(n\) | \(39\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.37418 | + | 0.334110i | 0.971692 | + | 0.236252i | ||||
\(3\) | 1.27630 | − | 0.736872i | 0.736872 | − | 0.425433i | −0.0840591 | − | 0.996461i | \(-0.526788\pi\) |
0.820931 | + | 0.571028i | \(0.193455\pi\) | |||||||
\(4\) | 1.77674 | + | 0.918256i | 0.888370 | + | 0.459128i | ||||
\(5\) | −2.34524 | + | 1.35403i | −1.04882 | + | 0.605539i | −0.922320 | − | 0.386427i | \(-0.873709\pi\) |
−0.126504 | + | 0.991966i | \(0.540376\pi\) | |||||||
\(6\) | 2.00006 | − | 0.586169i | 0.816522 | − | 0.239303i | ||||
\(7\) | − | 3.01597i | − | 1.13993i | −0.821669 | − | 0.569965i | \(-0.806957\pi\) | ||
0.821669 | − | 0.569965i | \(-0.193043\pi\) | |||||||
\(8\) | 2.13476 | + | 1.85548i | 0.754752 | + | 0.656010i | ||||
\(9\) | −0.414040 | + | 0.717138i | −0.138013 | + | 0.239046i | ||||
\(10\) | −3.67518 | + | 1.07711i | −1.16219 | + | 0.340611i | ||||
\(11\) | −3.11370 | −0.938817 | −0.469409 | − | 0.882981i | \(-0.655533\pi\) | ||||
−0.469409 | + | 0.882981i | \(0.655533\pi\) | |||||||
\(12\) | 2.94429 | − | 0.137261i | 0.849943 | − | 0.0396237i | ||||
\(13\) | 0.218909 | − | 0.379162i | 0.0607144 | − | 0.105160i | −0.834071 | − | 0.551658i | \(-0.813995\pi\) |
0.894785 | + | 0.446497i | \(0.147329\pi\) | |||||||
\(14\) | 1.00767 | − | 4.14449i | 0.269311 | − | 1.10766i | ||||
\(15\) | −1.99549 | + | 3.45629i | −0.515233 | + | 0.892409i | ||||
\(16\) | 2.31361 | + | 3.26300i | 0.578403 | + | 0.815751i | ||||
\(17\) | −3.22274 | − | 5.58194i | −0.781629 | − | 1.35382i | −0.930993 | − | 0.365038i | \(-0.881056\pi\) |
0.149364 | − | 0.988782i | \(-0.452277\pi\) | |||||||
\(18\) | −0.808569 | + | 0.847142i | −0.190582 | + | 0.199673i | ||||
\(19\) | 3.58731 | + | 2.47613i | 0.822984 | + | 0.568064i | ||||
\(20\) | −5.41023 | + | 0.252221i | −1.20976 | + | 0.0563984i | ||||
\(21\) | −2.22238 | − | 3.84928i | −0.484964 | − | 0.839982i | ||||
\(22\) | −4.27879 | − | 1.04032i | −0.912241 | − | 0.221797i | ||||
\(23\) | −1.81421 | − | 1.04744i | −0.378290 | − | 0.218406i | 0.298784 | − | 0.954321i | \(-0.403419\pi\) |
−0.677074 | + | 0.735915i | \(0.736752\pi\) | |||||||
\(24\) | 4.09184 | + | 0.795097i | 0.835244 | + | 0.162298i | ||||
\(25\) | 1.16678 | − | 2.02092i | 0.233355 | − | 0.404183i | ||||
\(26\) | 0.427502 | − | 0.447896i | 0.0838401 | − | 0.0878397i | ||||
\(27\) | 5.64161i | 1.08573i | ||||||||
\(28\) | 2.76943 | − | 5.35860i | 0.523374 | − | 1.01268i | ||||
\(29\) | −1.58443 | + | 2.74431i | −0.294221 | + | 0.509606i | −0.974803 | − | 0.223066i | \(-0.928394\pi\) |
0.680582 | + | 0.732672i | \(0.261727\pi\) | |||||||
\(30\) | −3.89694 | + | 4.08285i | −0.711481 | + | 0.745422i | ||||
\(31\) | 9.77556 | 1.75574 | 0.877871 | − | 0.478897i | \(-0.158963\pi\) | ||||
0.877871 | + | 0.478897i | \(0.158963\pi\) | |||||||
\(32\) | 2.08912 | + | 5.25696i | 0.369307 | + | 0.929307i | ||||
\(33\) | −3.97402 | + | 2.29440i | −0.691788 | + | 0.399404i | ||||
\(34\) | −2.56363 | − | 8.74735i | −0.439660 | − | 1.50016i | ||||
\(35\) | 4.08371 | + | 7.07319i | 0.690272 | + | 1.19559i | ||||
\(36\) | −1.39416 | + | 0.893974i | −0.232360 | + | 0.148996i | ||||
\(37\) | −8.36258 | −1.37480 | −0.687400 | − | 0.726279i | \(-0.741248\pi\) | ||||
−0.687400 | + | 0.726279i | \(0.741248\pi\) | |||||||
\(38\) | 4.10230 | + | 4.60121i | 0.665481 | + | 0.746415i | ||||
\(39\) | − | 0.645232i | − | 0.103320i | ||||||
\(40\) | −7.51890 | − | 1.46102i | −1.18884 | − | 0.231007i | ||||
\(41\) | 4.66208 | − | 2.69165i | 0.728094 | − | 0.420365i | −0.0896306 | − | 0.995975i | \(-0.528569\pi\) |
0.817724 | + | 0.575610i | \(0.195235\pi\) | |||||||
\(42\) | −1.76787 | − | 6.03213i | −0.272788 | − | 0.930778i | ||||
\(43\) | −2.43347 | − | 4.21489i | −0.371100 | − | 0.642764i | 0.618635 | − | 0.785679i | \(-0.287686\pi\) |
−0.989735 | + | 0.142914i | \(0.954353\pi\) | |||||||
\(44\) | −5.53225 | − | 2.85918i | −0.834017 | − | 0.431037i | ||||
\(45\) | − | 2.24248i | − | 0.334290i | ||||||
\(46\) | −2.14310 | − | 2.04551i | −0.315982 | − | 0.301595i | ||||
\(47\) | −1.22865 | − | 0.709359i | −0.179216 | − | 0.103471i | 0.407708 | − | 0.913112i | \(-0.366328\pi\) |
−0.586924 | + | 0.809642i | \(0.699661\pi\) | |||||||
\(48\) | 5.35728 | + | 2.45973i | 0.773256 | + | 0.355032i | ||||
\(49\) | −2.09609 | −0.299441 | ||||||||
\(50\) | 2.27857 | − | 2.38727i | 0.322238 | − | 0.337611i | ||||
\(51\) | −8.22635 | − | 4.74949i | −1.15192 | − | 0.665061i | ||||
\(52\) | 0.737112 | − | 0.472657i | 0.102219 | − | 0.0655458i | ||||
\(53\) | 1.63792 | − | 2.83695i | 0.224985 | − | 0.389686i | −0.731330 | − | 0.682024i | \(-0.761100\pi\) |
0.956315 | + | 0.292338i | \(0.0944333\pi\) | |||||||
\(54\) | −1.88492 | + | 7.75258i | −0.256505 | + | 1.05499i | ||||
\(55\) | 7.30239 | − | 4.21604i | 0.984655 | − | 0.568491i | ||||
\(56\) | 5.59606 | − | 6.43838i | 0.747805 | − | 0.860365i | ||||
\(57\) | 6.40307 | + | 0.516904i | 0.848107 | + | 0.0684655i | ||||
\(58\) | −3.09420 | + | 3.24181i | −0.406288 | + | 0.425670i | ||||
\(59\) | −1.70599 | + | 0.984956i | −0.222102 | + | 0.128230i | −0.606923 | − | 0.794761i | \(-0.707596\pi\) |
0.384821 | + | 0.922991i | \(0.374263\pi\) | |||||||
\(60\) | −6.71922 | + | 4.30856i | −0.867447 | + | 0.556232i | ||||
\(61\) | 9.56035 | + | 5.51967i | 1.22408 | + | 0.706722i | 0.965785 | − | 0.259345i | \(-0.0835067\pi\) |
0.258293 | + | 0.966067i | \(0.416840\pi\) | |||||||
\(62\) | 13.4334 | + | 3.26612i | 1.70604 | + | 0.414797i | ||||
\(63\) | 2.16287 | + | 1.24873i | 0.272496 | + | 0.157326i | ||||
\(64\) | 1.11442 | + | 7.92200i | 0.139302 | + | 0.990250i | ||||
\(65\) | 1.18563i | 0.147060i | ||||||||
\(66\) | −6.22760 | + | 1.82516i | −0.766565 | + | 0.224661i | ||||
\(67\) | 4.49875 | + | 2.59735i | 0.549609 | + | 0.317317i | 0.748964 | − | 0.662610i | \(-0.230551\pi\) |
−0.199355 | + | 0.979927i | \(0.563885\pi\) | |||||||
\(68\) | −0.600315 | − | 12.8770i | −0.0727989 | − | 1.56156i | ||||
\(69\) | −3.08731 | −0.371668 | ||||||||
\(70\) | 3.24852 | + | 11.0842i | 0.388273 | + | 1.32482i | ||||
\(71\) | 4.40927 | + | 7.63707i | 0.523284 | + | 0.906354i | 0.999633 | + | 0.0270976i | \(0.00862647\pi\) |
−0.476349 | + | 0.879256i | \(0.658040\pi\) | |||||||
\(72\) | −2.21451 | + | 0.762678i | −0.260983 | + | 0.0898825i | ||||
\(73\) | −6.90160 | − | 11.9539i | −0.807772 | − | 1.39910i | −0.914404 | − | 0.404803i | \(-0.867340\pi\) |
0.106632 | − | 0.994299i | \(-0.465993\pi\) | |||||||
\(74\) | −11.4917 | − | 2.79403i | −1.33588 | − | 0.324799i | ||||
\(75\) | − | 3.43906i | − | 0.397108i | ||||||
\(76\) | 4.09999 | + | 7.69351i | 0.470301 | + | 0.882506i | ||||
\(77\) | 9.39085i | 1.07019i | ||||||||
\(78\) | 0.215579 | − | 0.886664i | 0.0244095 | − | 0.100395i | ||||
\(79\) | −0.939415 | − | 1.62711i | −0.105692 | − | 0.183065i | 0.808328 | − | 0.588732i | \(-0.200373\pi\) |
−0.914021 | + | 0.405667i | \(0.867039\pi\) | |||||||
\(80\) | −9.84418 | − | 4.51984i | −1.10061 | − | 0.505334i | ||||
\(81\) | 2.91502 | + | 5.04897i | 0.323891 | + | 0.560996i | ||||
\(82\) | 7.30584 | − | 2.14116i | 0.806795 | − | 0.236452i | ||||
\(83\) | 3.79468 | 0.416520 | 0.208260 | − | 0.978073i | \(-0.433220\pi\) | ||||
0.208260 | + | 0.978073i | \(0.433220\pi\) | |||||||
\(84\) | −0.413974 | − | 8.87989i | −0.0451683 | − | 0.968876i | ||||
\(85\) | 15.1162 | + | 8.72734i | 1.63958 | + | 0.946613i | ||||
\(86\) | −1.93578 | − | 6.60506i | −0.208741 | − | 0.712242i | ||||
\(87\) | 4.67009i | 0.500686i | ||||||||
\(88\) | −6.64702 | − | 5.77740i | −0.708575 | − | 0.615873i | ||||
\(89\) | 10.7709 | + | 6.21857i | 1.14171 | + | 0.659167i | 0.946854 | − | 0.321664i | \(-0.104242\pi\) |
0.194857 | + | 0.980832i | \(0.437576\pi\) | |||||||
\(90\) | 0.749238 | − | 3.08158i | 0.0789766 | − | 0.324827i | ||||
\(91\) | −1.14354 | − | 0.660224i | −0.119876 | − | 0.0692102i | ||||
\(92\) | −2.26157 | − | 3.52694i | −0.235785 | − | 0.367708i | ||||
\(93\) | 12.4765 | − | 7.20333i | 1.29376 | − | 0.746951i | ||||
\(94\) | −1.45138 | − | 1.38529i | −0.149698 | − | 0.142882i | ||||
\(95\) | −11.7659 | − | 0.949828i | −1.20715 | − | 0.0974503i | ||||
\(96\) | 6.54004 | + | 5.17004i | 0.667490 | + | 0.527665i | ||||
\(97\) | −16.1008 | + | 9.29578i | −1.63479 | + | 0.943844i | −0.652197 | + | 0.758050i | \(0.726152\pi\) |
−0.982589 | + | 0.185794i | \(0.940514\pi\) | |||||||
\(98\) | −2.88040 | − | 0.700325i | −0.290964 | − | 0.0707435i | ||||
\(99\) | 1.28920 | − | 2.23296i | 0.129569 | − | 0.224421i | ||||
\(100\) | 3.92878 | − | 2.51924i | 0.392878 | − | 0.251924i | ||||
\(101\) | 1.29368 | + | 0.746904i | 0.128726 | + | 0.0743198i | 0.562980 | − | 0.826470i | \(-0.309655\pi\) |
−0.434254 | + | 0.900790i | \(0.642988\pi\) | |||||||
\(102\) | −9.71764 | − | 9.27516i | −0.962189 | − | 0.918378i | ||||
\(103\) | 5.61948 | 0.553704 | 0.276852 | − | 0.960913i | \(-0.410709\pi\) | ||||
0.276852 | + | 0.960913i | \(0.410709\pi\) | |||||||
\(104\) | 1.17084 | − | 0.403239i | 0.114811 | − | 0.0395409i | ||||
\(105\) | 10.4241 | + | 6.01834i | 1.01728 | + | 0.587329i | ||||
\(106\) | 3.19865 | − | 3.35124i | 0.310680 | − | 0.325501i | ||||
\(107\) | − | 9.01090i | − | 0.871117i | −0.900160 | − | 0.435558i | \(-0.856551\pi\) | ||
0.900160 | − | 0.435558i | \(-0.143449\pi\) | |||||||
\(108\) | −5.18044 | + | 10.0237i | −0.498488 | + | 0.964528i | ||||
\(109\) | −5.62286 | − | 9.73908i | −0.538573 | − | 0.932835i | −0.998981 | − | 0.0451280i | \(-0.985630\pi\) |
0.460409 | − | 0.887707i | \(-0.347703\pi\) | |||||||
\(110\) | 11.4434 | − | 3.35379i | 1.09109 | − | 0.319771i | ||||
\(111\) | −10.6732 | + | 6.16215i | −1.01305 | + | 0.584885i | ||||
\(112\) | 9.84113 | − | 6.97779i | 0.929899 | − | 0.659339i | ||||
\(113\) | 4.22083i | 0.397063i | 0.980095 | + | 0.198531i | \(0.0636171\pi\) | ||||
−0.980095 | + | 0.198531i | \(0.936383\pi\) | |||||||
\(114\) | 8.62626 | + | 2.84965i | 0.807924 | + | 0.266894i | ||||
\(115\) | 5.67303 | 0.529013 | ||||||||
\(116\) | −5.33510 | + | 3.42102i | −0.495352 | + | 0.317634i | ||||
\(117\) | 0.181274 | + | 0.313976i | 0.0167588 | + | 0.0290271i | ||||
\(118\) | −2.67343 | + | 0.783517i | −0.246109 | + | 0.0721286i | ||||
\(119\) | −16.8350 | + | 9.71969i | −1.54326 | + | 0.891002i | ||||
\(120\) | −10.6729 | + | 3.67577i | −0.974302 | + | 0.335550i | ||||
\(121\) | −1.30484 | −0.118622 | ||||||||
\(122\) | 11.2935 | + | 10.7792i | 1.02246 | + | 0.975906i | ||||
\(123\) | 3.96680 | − | 6.87070i | 0.357675 | − | 0.619510i | ||||
\(124\) | 17.3686 | + | 8.97646i | 1.55975 | + | 0.806110i | ||||
\(125\) | − | 7.22088i | − | 0.645855i | ||||||
\(126\) | 2.55496 | + | 2.43862i | 0.227614 | + | 0.217250i | ||||
\(127\) | 7.86010 | − | 13.6141i | 0.697471 | − | 1.20806i | −0.271869 | − | 0.962334i | \(-0.587642\pi\) |
0.969340 | − | 0.245721i | \(-0.0790248\pi\) | |||||||
\(128\) | −1.11541 | + | 11.2586i | −0.0985895 | + | 0.995128i | ||||
\(129\) | −6.21166 | − | 3.58631i | −0.546906 | − | 0.315757i | ||||
\(130\) | −0.396133 | + | 1.62928i | −0.0347432 | + | 0.142897i | ||||
\(131\) | −5.08127 | − | 8.80102i | −0.443953 | − | 0.768948i | 0.554026 | − | 0.832499i | \(-0.313091\pi\) |
−0.997979 | + | 0.0635510i | \(0.979757\pi\) | |||||||
\(132\) | −9.16765 | + | 0.427389i | −0.797941 | + | 0.0371995i | ||||
\(133\) | 7.46795 | − | 10.8192i | 0.647553 | − | 0.938145i | ||||
\(134\) | 5.31429 | + | 5.07231i | 0.459084 | + | 0.438181i | ||||
\(135\) | −7.63889 | − | 13.2309i | −0.657451 | − | 1.13874i | ||||
\(136\) | 3.47739 | − | 17.8958i | 0.298184 | − | 1.53456i | ||||
\(137\) | −7.17527 | + | 12.4279i | −0.613024 | + | 1.06179i | 0.377703 | + | 0.925927i | \(0.376714\pi\) |
−0.990728 | + | 0.135863i | \(0.956619\pi\) | |||||||
\(138\) | −4.24251 | − | 1.03150i | −0.361147 | − | 0.0878072i | ||||
\(139\) | 5.30773 | − | 9.19326i | 0.450196 | − | 0.779763i | −0.548202 | − | 0.836346i | \(-0.684687\pi\) |
0.998398 | + | 0.0565836i | \(0.0180207\pi\) | |||||||
\(140\) | 0.760692 | + | 16.3171i | 0.0642902 | + | 1.37905i | ||||
\(141\) | −2.09083 | −0.176079 | ||||||||
\(142\) | 3.50750 | + | 11.9679i | 0.294343 | + | 1.00432i | ||||
\(143\) | −0.681618 | + | 1.18060i | −0.0569998 | + | 0.0987265i | ||||
\(144\) | −3.29795 | + | 0.308166i | −0.274829 | + | 0.0256805i | ||||
\(145\) | − | 8.58144i | − | 0.712650i | ||||||
\(146\) | −5.49011 | − | 18.7327i | −0.454365 | − | 1.55033i | ||||
\(147\) | −2.67523 | + | 1.54455i | −0.220650 | + | 0.127392i | ||||
\(148\) | −14.8581 | − | 7.67899i | −1.22133 | − | 0.631209i | ||||
\(149\) | −16.0045 | + | 9.24023i | −1.31114 | + | 0.756989i | −0.982286 | − | 0.187390i | \(-0.939997\pi\) |
−0.328858 | + | 0.944379i | \(0.606664\pi\) | |||||||
\(150\) | 1.14902 | − | 4.72588i | 0.0938175 | − | 0.385867i | ||||
\(151\) | −18.5105 | −1.50637 | −0.753183 | − | 0.657811i | \(-0.771483\pi\) | ||||
−0.753183 | + | 0.657811i | \(0.771483\pi\) | |||||||
\(152\) | 3.06364 | + | 11.9421i | 0.248494 | + | 0.968633i | ||||
\(153\) | 5.33737 | 0.431501 | ||||||||
\(154\) | −3.13758 | + | 12.9047i | −0.252833 | + | 1.03989i | ||||
\(155\) | −22.9261 | + | 13.2364i | −1.84147 | + | 1.06317i | ||||
\(156\) | 0.592488 | − | 1.14641i | 0.0474370 | − | 0.0917862i | ||||
\(157\) | −21.2242 | + | 12.2538i | −1.69388 | + | 0.977961i | −0.742545 | + | 0.669796i | \(0.766382\pi\) |
−0.951333 | + | 0.308165i | \(0.900285\pi\) | |||||||
\(158\) | −0.747289 | − | 2.54982i | −0.0594511 | − | 0.202852i | ||||
\(159\) | − | 4.82774i | − | 0.382864i | ||||||
\(160\) | −12.0175 | − | 9.50012i | −0.950070 | − | 0.751050i | ||||
\(161\) | −3.15904 | + | 5.47162i | −0.248967 | + | 0.431224i | ||||
\(162\) | 2.31885 | + | 7.91213i | 0.182186 | + | 0.621635i | ||||
\(163\) | −6.00269 | −0.470167 | −0.235084 | − | 0.971975i | \(-0.575536\pi\) | ||||
−0.235084 | + | 0.971975i | \(0.575536\pi\) | |||||||
\(164\) | 10.7549 | − | 0.501387i | 0.839818 | − | 0.0391517i | ||||
\(165\) | 6.21336 | − | 10.7619i | 0.483709 | − | 0.837809i | ||||
\(166\) | 5.21458 | + | 1.26784i | 0.404730 | + | 0.0984037i | ||||
\(167\) | −3.39245 | + | 5.87589i | −0.262515 | + | 0.454690i | −0.966910 | − | 0.255119i | \(-0.917885\pi\) |
0.704394 | + | 0.709809i | \(0.251219\pi\) | |||||||
\(168\) | 2.39799 | − | 12.3409i | 0.185009 | − | 0.952120i | ||||
\(169\) | 6.40416 | + | 11.0923i | 0.492628 | + | 0.853256i | ||||
\(170\) | 17.8565 | + | 17.0434i | 1.36953 | + | 1.30717i | ||||
\(171\) | −3.26102 | + | 1.54738i | −0.249376 | + | 0.118331i | ||||
\(172\) | −0.453294 | − | 9.72331i | −0.0345633 | − | 0.741395i | ||||
\(173\) | −8.69543 | − | 15.0609i | −0.661101 | − | 1.14506i | −0.980327 | − | 0.197382i | \(-0.936756\pi\) |
0.319225 | − | 0.947679i | \(-0.396577\pi\) | |||||||
\(174\) | −1.56033 | + | 6.41754i | −0.118288 | + | 0.486512i | ||||
\(175\) | −6.09502 | − | 3.51896i | −0.460741 | − | 0.266009i | ||||
\(176\) | −7.20391 | − | 10.1600i | −0.543015 | − | 0.765841i | ||||
\(177\) | −1.45157 | + | 2.51420i | −0.109107 | + | 0.188979i | ||||
\(178\) | 12.7234 | + | 12.1441i | 0.953662 | + | 0.910239i | ||||
\(179\) | − | 3.28473i | − | 0.245513i | −0.992437 | − | 0.122756i | \(-0.960827\pi\) | ||
0.992437 | − | 0.122756i | \(-0.0391733\pi\) | |||||||
\(180\) | 2.05917 | − | 3.98431i | 0.153482 | − | 0.296973i | ||||
\(181\) | 4.17326 | − | 7.22829i | 0.310196 | − | 0.537275i | −0.668209 | − | 0.743974i | \(-0.732939\pi\) |
0.978405 | + | 0.206699i | \(0.0662721\pi\) | |||||||
\(182\) | −1.35084 | − | 1.28933i | −0.100131 | − | 0.0955718i | ||||
\(183\) | 16.2692 | 1.20265 | ||||||||
\(184\) | −1.92942 | − | 5.60226i | −0.142239 | − | 0.413004i | ||||
\(185\) | 19.6123 | − | 11.3232i | 1.44192 | − | 0.832495i | ||||
\(186\) | 19.5517 | − | 5.73013i | 1.43360 | − | 0.420154i | ||||
\(187\) | 10.0347 | + | 17.3805i | 0.733806 | + | 1.27099i | ||||
\(188\) | −1.53161 | − | 2.38856i | −0.111704 | − | 0.174204i | ||||
\(189\) | 17.0149 | 1.23765 | ||||||||
\(190\) | −15.8511 | − | 5.23633i | −1.14996 | − | 0.379883i | ||||
\(191\) | − | 4.43183i | − | 0.320676i | −0.987062 | − | 0.160338i | \(-0.948742\pi\) | ||
0.987062 | − | 0.160338i | \(-0.0512584\pi\) | |||||||
\(192\) | 7.25983 | + | 9.28966i | 0.523933 | + | 0.670423i | ||||
\(193\) | −6.12690 | + | 3.53737i | −0.441024 | + | 0.254625i | −0.704032 | − | 0.710168i | \(-0.748619\pi\) |
0.263008 | + | 0.964794i | \(0.415286\pi\) | |||||||
\(194\) | −25.2312 | + | 7.39464i | −1.81149 | + | 0.530904i | ||||
\(195\) | 0.873661 | + | 1.51322i | 0.0625641 | + | 0.108364i | ||||
\(196\) | −3.72420 | − | 1.92474i | −0.266014 | − | 0.137482i | ||||
\(197\) | 11.2899i | 0.804372i | 0.915558 | + | 0.402186i | \(0.131750\pi\) | ||||
−0.915558 | + | 0.402186i | \(0.868250\pi\) | |||||||
\(198\) | 2.51765 | − | 2.63775i | 0.178921 | − | 0.187457i | ||||
\(199\) | −6.12926 | − | 3.53873i | −0.434492 | − | 0.250854i | 0.266766 | − | 0.963761i | \(-0.414045\pi\) |
−0.701258 | + | 0.712907i | \(0.747378\pi\) | |||||||
\(200\) | 6.24055 | − | 2.14925i | 0.441273 | − | 0.151975i | ||||
\(201\) | 7.65566 | 0.539989 | ||||||||
\(202\) | 1.52820 | + | 1.45861i | 0.107523 | + | 0.102628i | ||||
\(203\) | 8.27677 | + | 4.77860i | 0.580916 | + | 0.335392i | ||||
\(204\) | −10.2549 | − | 15.9925i | −0.717983 | − | 1.11970i | ||||
\(205\) | −7.28913 | + | 12.6251i | −0.509095 | + | 0.881779i | ||||
\(206\) | 7.72217 | + | 1.87753i | 0.538029 | + | 0.130813i | ||||
\(207\) | 1.50231 | − | 0.867362i | 0.104418 | − | 0.0602858i | ||||
\(208\) | 1.74368 | − | 0.162932i | 0.120902 | − | 0.0112973i | ||||
\(209\) | −11.1698 | − | 7.70995i | −0.772632 | − | 0.533308i | ||||
\(210\) | 12.3137 | + | 11.7531i | 0.849729 | + | 0.811038i | ||||
\(211\) | 15.7615 | − | 9.09989i | 1.08506 | − | 0.626462i | 0.152806 | − | 0.988256i | \(-0.451169\pi\) |
0.932258 | + | 0.361794i | \(0.117836\pi\) | |||||||
\(212\) | 5.51520 | − | 3.53651i | 0.378786 | − | 0.242888i | ||||
\(213\) | 11.2551 | + | 6.49813i | 0.771186 | + | 0.445244i | ||||
\(214\) | 3.01064 | − | 12.3826i | 0.205803 | − | 0.846457i | ||||
\(215\) | 11.4141 | + | 6.58996i | 0.778438 | + | 0.449431i | ||||
\(216\) | −10.4679 | + | 12.0435i | −0.712248 | + | 0.819456i | ||||
\(217\) | − | 29.4828i | − | 2.00142i | ||||||
\(218\) | −4.47289 | − | 15.2619i | −0.302943 | − | 1.03367i | ||||
\(219\) | −17.6170 | − | 10.1712i | −1.19045 | − | 0.687306i | ||||
\(220\) | 16.8459 | − | 0.785342i | 1.13575 | − | 0.0529477i | ||||
\(221\) | −2.82195 | −0.189825 | ||||||||
\(222\) | −16.7257 | + | 4.90189i | −1.12255 | + | 0.328993i | ||||
\(223\) | 0.772936 | + | 1.33877i | 0.0517596 | + | 0.0896503i | 0.890744 | − | 0.454505i | \(-0.150184\pi\) |
−0.838985 | + | 0.544155i | \(0.816850\pi\) | |||||||
\(224\) | 15.8548 | − | 6.30072i | 1.05935 | − | 0.420984i | ||||
\(225\) | 0.966184 | + | 1.67348i | 0.0644123 | + | 0.111565i | ||||
\(226\) | −1.41022 | + | 5.80018i | −0.0938067 | + | 0.385823i | ||||
\(227\) | − | 3.30271i | − | 0.219209i | −0.993975 | − | 0.109604i | \(-0.965042\pi\) | ||
0.993975 | − | 0.109604i | \(-0.0349584\pi\) | |||||||
\(228\) | 10.9019 | + | 6.79806i | 0.721999 | + | 0.450212i | ||||
\(229\) | 8.81252i | 0.582348i | 0.956670 | + | 0.291174i | \(0.0940458\pi\) | ||||
−0.956670 | + | 0.291174i | \(0.905954\pi\) | |||||||
\(230\) | 7.79576 | + | 1.89542i | 0.514037 | + | 0.124980i | ||||
\(231\) | 6.91985 | + | 11.9855i | 0.455293 | + | 0.788590i | ||||
\(232\) | −8.47439 | + | 2.91858i | −0.556371 | + | 0.191614i | ||||
\(233\) | 3.15790 | + | 5.46965i | 0.206881 | + | 0.358329i | 0.950730 | − | 0.310019i | \(-0.100335\pi\) |
−0.743849 | + | 0.668347i | \(0.767002\pi\) | |||||||
\(234\) | 0.144201 | + | 0.492025i | 0.00942669 | + | 0.0321647i | ||||
\(235\) | 3.84197 | 0.250622 | ||||||||
\(236\) | −3.93555 | + | 0.183473i | −0.256183 | + | 0.0119430i | ||||
\(237\) | −2.39795 | − | 1.38446i | −0.155764 | − | 0.0899301i | ||||
\(238\) | −26.3818 | + | 7.73185i | −1.71007 | + | 0.501181i | ||||
\(239\) | 26.2612i | 1.69870i | 0.527834 | + | 0.849348i | \(0.323004\pi\) | ||||
−0.527834 | + | 0.849348i | \(0.676996\pi\) | |||||||
\(240\) | −15.8947 | + | 1.48522i | −1.02600 | + | 0.0958708i | ||||
\(241\) | 1.61651 | + | 0.933290i | 0.104128 | + | 0.0601185i | 0.551160 | − | 0.834400i | \(-0.314185\pi\) |
−0.447031 | + | 0.894518i | \(0.647519\pi\) | |||||||
\(242\) | −1.79309 | − | 0.435961i | −0.115264 | − | 0.0280247i | ||||
\(243\) | −7.21645 | − | 4.16642i | −0.462935 | − | 0.267276i | ||||
\(244\) | 11.9178 | + | 18.5859i | 0.762959 | + | 1.18984i | ||||
\(245\) | 4.91583 | − | 2.83816i | 0.314061 | − | 0.181323i | ||||
\(246\) | 7.74667 | − | 8.11623i | 0.493910 | − | 0.517472i | ||||
\(247\) | 1.72415 | − | 0.818120i | 0.109705 | − | 0.0520558i | ||||
\(248\) | 20.8685 | + | 18.1383i | 1.32515 | + | 1.15178i | ||||
\(249\) | 4.84315 | − | 2.79619i | 0.306922 | − | 0.177202i | ||||
\(250\) | 2.41257 | − | 9.92279i | 0.152584 | − | 0.627572i | ||||
\(251\) | 10.1173 | − | 17.5236i | 0.638596 | − | 1.10608i | −0.347145 | − | 0.937811i | \(-0.612849\pi\) |
0.985741 | − | 0.168269i | \(-0.0538177\pi\) | |||||||
\(252\) | 2.69620 | + | 4.20474i | 0.169845 | + | 0.264874i | ||||
\(253\) | 5.64893 | + | 3.26141i | 0.355145 | + | 0.205043i | ||||
\(254\) | 15.3498 | − | 16.0821i | 0.963132 | − | 1.00908i | ||||
\(255\) | 25.7237 | 1.61088 | ||||||||
\(256\) | −5.29439 | + | 15.0987i | −0.330899 | + | 0.943666i | ||||
\(257\) | −10.3865 | − | 5.99663i | −0.647890 | − | 0.374060i | 0.139757 | − | 0.990186i | \(-0.455368\pi\) |
−0.787647 | + | 0.616126i | \(0.788701\pi\) | |||||||
\(258\) | −7.33772 | − | 7.00361i | −0.456827 | − | 0.436026i | ||||
\(259\) | 25.2213i | 1.56718i | ||||||||
\(260\) | −1.08872 | + | 2.10656i | −0.0675193 | + | 0.130644i | ||||
\(261\) | −1.31204 | − | 2.27251i | −0.0812129 | − | 0.140665i | ||||
\(262\) | −4.04207 | − | 13.7919i | −0.249720 | − | 0.852065i | ||||
\(263\) | 24.8302 | − | 14.3357i | 1.53109 | − | 0.883978i | 0.531783 | − | 0.846881i | \(-0.321522\pi\) |
0.999312 | − | 0.0370975i | \(-0.0118112\pi\) | |||||||
\(264\) | −12.7408 | − | 2.47570i | −0.784142 | − | 0.152369i | ||||
\(265\) | 8.87113i | 0.544949i | ||||||||
\(266\) | 13.8771 | − | 12.3724i | 0.850861 | − | 0.758602i | ||||
\(267\) | 18.3292 | 1.12173 | ||||||||
\(268\) | 5.60807 | + | 8.74582i | 0.342568 | + | 0.534236i | ||||
\(269\) | −7.77990 | − | 13.4752i | −0.474349 | − | 0.821596i | 0.525220 | − | 0.850967i | \(-0.323983\pi\) |
−0.999569 | + | 0.0293704i | \(0.990650\pi\) | |||||||
\(270\) | −6.07661 | − | 20.7339i | −0.369811 | − | 1.26183i | ||||
\(271\) | −2.99285 | + | 1.72792i | −0.181803 | + | 0.104964i | −0.588139 | − | 0.808760i | \(-0.700139\pi\) |
0.406337 | + | 0.913723i | \(0.366806\pi\) | |||||||
\(272\) | 10.7577 | − | 23.4303i | 0.652284 | − | 1.42067i | ||||
\(273\) | −1.94600 | −0.117777 | ||||||||
\(274\) | −14.0124 | + | 14.6809i | −0.846520 | + | 0.886904i | ||||
\(275\) | −3.63300 | + | 6.29253i | −0.219078 | + | 0.379454i | ||||
\(276\) | −5.48534 | − | 2.83494i | −0.330179 | − | 0.170643i | ||||
\(277\) | 1.41483i | 0.0850090i | 0.999096 | + | 0.0425045i | \(0.0135337\pi\) | ||||
−0.999096 | + | 0.0425045i | \(0.986466\pi\) | |||||||
\(278\) | 10.3653 | − | 10.8598i | 0.621672 | − | 0.651329i | ||||
\(279\) | −4.04747 | + | 7.01043i | −0.242316 | + | 0.419703i | ||||
\(280\) | −4.40639 | + | 22.6768i | −0.263332 | + | 1.35520i | ||||
\(281\) | 4.69854 | + | 2.71270i | 0.280291 | + | 0.161826i | 0.633555 | − | 0.773697i | \(-0.281595\pi\) |
−0.353264 | + | 0.935524i | \(0.614928\pi\) | |||||||
\(282\) | −2.87317 | − | 0.698567i | −0.171095 | − | 0.0415991i | ||||
\(283\) | 8.05693 | + | 13.9550i | 0.478935 | + | 0.829540i | 0.999708 | − | 0.0241553i | \(-0.00768962\pi\) |
−0.520773 | + | 0.853695i | \(0.674356\pi\) | |||||||
\(284\) | 0.821335 | + | 17.6179i | 0.0487373 | + | 1.04543i | ||||
\(285\) | −15.7167 | + | 7.45766i | −0.930974 | + | 0.441754i | ||||
\(286\) | −1.33112 | + | 1.39462i | −0.0787105 | + | 0.0824654i | ||||
\(287\) | −8.11794 | − | 14.0607i | −0.479187 | − | 0.829976i | ||||
\(288\) | −4.63494 | − | 0.678405i | −0.273117 | − | 0.0399754i | ||||
\(289\) | −12.2721 | + | 21.2559i | −0.721887 | + | 1.25034i | ||||
\(290\) | 2.86715 | − | 11.7924i | 0.168365 | − | 0.692476i | ||||
\(291\) | −13.6996 | + | 23.7284i | −0.803085 | + | 1.39098i | ||||
\(292\) | −1.28560 | − | 27.5765i | −0.0752338 | − | 1.61379i | ||||
\(293\) | 23.7978 | 1.39028 | 0.695142 | − | 0.718872i | \(-0.255341\pi\) | ||||
0.695142 | + | 0.718872i | \(0.255341\pi\) | |||||||
\(294\) | −4.19230 | + | 1.22866i | −0.244500 | + | 0.0716570i | ||||
\(295\) | 2.66731 | − | 4.61992i | 0.155297 | − | 0.268982i | ||||
\(296\) | −17.8521 | − | 15.5166i | −1.03763 | − | 0.901882i | ||||
\(297\) | − | 17.5663i | − | 1.01930i | ||||||
\(298\) | −25.0804 | + | 7.35045i | −1.45287 | + | 0.425800i | ||||
\(299\) | −0.794296 | + | 0.458587i | −0.0459353 | + | 0.0265208i | ||||
\(300\) | 3.15793 | − | 6.11031i | 0.182323 | − | 0.352779i | ||||
\(301\) | −12.7120 | + | 7.33927i | −0.732707 | + | 0.423028i | ||||
\(302\) | −25.4368 | − | 6.18457i | −1.46372 | − | 0.355882i | ||||
\(303\) | 2.20149 | 0.126472 | ||||||||
\(304\) | 0.220002 | + | 17.4342i | 0.0126180 | + | 0.999920i | ||||
\(305\) | −29.8951 | −1.71179 | ||||||||
\(306\) | 7.33451 | + | 1.78327i | 0.419286 | + | 0.101943i | ||||
\(307\) | −1.43431 | + | 0.828099i | −0.0818604 | + | 0.0472621i | −0.540371 | − | 0.841427i | \(-0.681716\pi\) |
0.458511 | + | 0.888689i | \(0.348383\pi\) | |||||||
\(308\) | −8.62320 | + | 16.6851i | −0.491352 | + | 0.950722i | ||||
\(309\) | 7.17214 | − | 4.14084i | 0.408009 | − | 0.235564i | ||||
\(310\) | −35.9269 | + | 10.5293i | −2.04051 | + | 0.598025i | ||||
\(311\) | 0.650991i | 0.0369143i | 0.999830 | + | 0.0184572i | \(0.00587543\pi\) | ||||
−0.999830 | + | 0.0184572i | \(0.994125\pi\) | |||||||
\(312\) | 1.19721 | − | 1.37742i | 0.0677788 | − | 0.0779808i | ||||
\(313\) | 9.66128 | − | 16.7338i | 0.546088 | − | 0.945852i | −0.452450 | − | 0.891790i | \(-0.649450\pi\) |
0.998538 | − | 0.0540617i | \(-0.0172168\pi\) | |||||||
\(314\) | −33.2600 | + | 9.74771i | −1.87697 | + | 0.550095i | ||||
\(315\) | −6.76327 | −0.381067 | ||||||||
\(316\) | −0.174989 | − | 3.75358i | −0.00984392 | − | 0.211156i | ||||
\(317\) | 10.4707 | − | 18.1358i | 0.588093 | − | 1.01861i | −0.406389 | − | 0.913700i | \(-0.633212\pi\) |
0.994482 | − | 0.104907i | \(-0.0334545\pi\) | |||||||
\(318\) | 1.61300 | − | 6.63418i | 0.0904524 | − | 0.372026i | ||||
\(319\) | 4.93345 | − | 8.54498i | 0.276220 | − | 0.478427i | ||||
\(320\) | −13.3402 | − | 17.0701i | −0.745739 | − | 0.954245i | ||||
\(321\) | −6.63988 | − | 11.5006i | −0.370602 | − | 0.641901i | ||||
\(322\) | −6.16921 | + | 6.46352i | −0.343797 | + | 0.360198i | ||||
\(323\) | 2.26070 | − | 28.0041i | 0.125789 | − | 1.55819i | ||||
\(324\) | 0.542995 | + | 11.6474i | 0.0301664 | + | 0.647080i | ||||
\(325\) | −0.510836 | − | 0.884793i | −0.0283361 | − | 0.0490795i | ||||
\(326\) | −8.24878 | − | 2.00556i | −0.456858 | − | 0.111078i | ||||
\(327\) | −14.3529 | − | 8.28666i | −0.793718 | − | 0.458253i | ||||
\(328\) | 14.9467 | + | 2.90434i | 0.825294 | + | 0.160365i | ||||
\(329\) | −2.13941 | + | 3.70556i | −0.117949 | + | 0.204294i | ||||
\(330\) | 12.1339 | − | 12.7128i | 0.667950 | − | 0.699815i | ||||
\(331\) | 7.37076i | 0.405134i | 0.979268 | + | 0.202567i | \(0.0649284\pi\) | ||||
−0.979268 | + | 0.202567i | \(0.935072\pi\) | |||||||
\(332\) | 6.74216 | + | 3.48449i | 0.370024 | + | 0.191236i | ||||
\(333\) | 3.46244 | − | 5.99713i | 0.189741 | − | 0.328641i | ||||
\(334\) | −6.62503 | + | 6.94108i | −0.362505 | + | 0.379799i | ||||
\(335\) | −14.0675 | −0.768592 | ||||||||
\(336\) | 7.41849 | − | 16.1574i | 0.404712 | − | 0.881458i | ||||
\(337\) | −9.00098 | + | 5.19672i | −0.490315 | + | 0.283083i | −0.724705 | − | 0.689059i | \(-0.758024\pi\) |
0.234390 | + | 0.972143i | \(0.424691\pi\) | |||||||
\(338\) | 5.09440 | + | 17.3825i | 0.277099 | + | 0.945486i | ||||
\(339\) | 3.11021 | + | 5.38705i | 0.168924 | + | 0.292584i | ||||
\(340\) | 18.8436 | + | 29.3868i | 1.02194 | + | 1.59372i | ||||
\(341\) | −30.4382 | −1.64832 | ||||||||
\(342\) | −4.99822 | + | 1.03683i | −0.270273 | + | 0.0560655i | ||||
\(343\) | − | 14.7901i | − | 0.798588i | ||||||
\(344\) | 2.62575 | − | 13.5130i | 0.141571 | − | 0.728573i | ||||
\(345\) | 7.24048 | − | 4.18029i | 0.389814 | − | 0.225060i | ||||
\(346\) | −6.91707 | − | 23.6017i | −0.371864 | − | 1.26883i | ||||
\(347\) | 9.25966 | + | 16.0382i | 0.497085 | + | 0.860976i | 0.999994 | − | 0.00336302i | \(-0.00107049\pi\) |
−0.502910 | + | 0.864339i | \(0.667737\pi\) | |||||||
\(348\) | −4.28833 | + | 8.29753i | −0.229879 | + | 0.444794i | ||||
\(349\) | 16.1158i | 0.862661i | 0.902194 | + | 0.431330i | \(0.141956\pi\) | ||||
−0.902194 | + | 0.431330i | \(0.858044\pi\) | |||||||
\(350\) | −7.19994 | − | 6.87210i | −0.384853 | − | 0.367329i | ||||
\(351\) | 2.13908 | + | 1.23500i | 0.114176 | + | 0.0659194i | ||||
\(352\) | −6.50489 | − | 16.3686i | −0.346712 | − | 0.872450i | ||||
\(353\) | 32.0716 | 1.70700 | 0.853500 | − | 0.521093i | \(-0.174476\pi\) | ||||
0.853500 | + | 0.521093i | \(0.174476\pi\) | |||||||
\(354\) | −2.83474 | + | 2.96997i | −0.150665 | + | 0.157852i | ||||
\(355\) | −20.6816 | − | 11.9405i | −1.09767 | − | 0.633737i | ||||
\(356\) | 13.4268 | + | 20.9392i | 0.711620 | + | 1.10978i | ||||
\(357\) | −14.3243 | + | 24.8105i | −0.758124 | + | 1.31311i | ||||
\(358\) | 1.09746 | − | 4.51382i | 0.0580028 | − | 0.238563i | ||||
\(359\) | 3.07083 | − | 1.77294i | 0.162072 | − | 0.0935724i | −0.416770 | − | 0.909012i | \(-0.636838\pi\) |
0.578842 | + | 0.815440i | \(0.303505\pi\) | |||||||
\(360\) | 4.16088 | − | 4.78717i | 0.219297 | − | 0.252306i | ||||
\(361\) | 6.73752 | + | 17.7653i | 0.354607 | + | 0.935016i | ||||
\(362\) | 8.14985 | − | 8.53864i | 0.428347 | − | 0.448781i | ||||
\(363\) | −1.66537 | + | 0.961501i | −0.0874092 | + | 0.0504657i | ||||
\(364\) | −1.42552 | − | 2.22311i | −0.0747176 | − | 0.116523i | ||||
\(365\) | 32.3719 | + | 18.6899i | 1.69442 | + | 0.978275i | ||||
\(366\) | 22.3568 | + | 5.43570i | 1.16861 | + | 0.284128i | ||||
\(367\) | 30.3020 | + | 17.4948i | 1.58175 | + | 0.913224i | 0.994604 | + | 0.103742i | \(0.0330817\pi\) |
0.587145 | + | 0.809481i | \(0.300252\pi\) | |||||||
\(368\) | −0.779598 | − | 8.34315i | −0.0406393 | − | 0.434917i | ||||
\(369\) | 4.45780i | 0.232064i | ||||||||
\(370\) | 30.7340 | − | 9.00738i | 1.59778 | − | 0.468272i | ||||
\(371\) | −8.55617 | − | 4.93991i | −0.444214 | − | 0.256467i | ||||
\(372\) | 28.7821 | − | 1.34180i | 1.49228 | − | 0.0695691i | ||||
\(373\) | −6.14462 | −0.318157 | −0.159078 | − | 0.987266i | \(-0.550852\pi\) | ||||
−0.159078 | + | 0.987266i | \(0.550852\pi\) | |||||||
\(374\) | 7.98240 | + | 27.2367i | 0.412760 | + | 1.40837i | ||||
\(375\) | −5.32086 | − | 9.21601i | −0.274768 | − | 0.475913i | ||||
\(376\) | −1.30667 | − | 3.79404i | −0.0673863 | − | 0.195663i | ||||
\(377\) | 0.693692 | + | 1.20151i | 0.0357270 | + | 0.0618809i | ||||
\(378\) | 23.3816 | + | 5.68487i | 1.20262 | + | 0.292398i | ||||
\(379\) | 16.1488i | 0.829507i | 0.909934 | + | 0.414753i | \(0.136132\pi\) | ||||
−0.909934 | + | 0.414753i | \(0.863868\pi\) | |||||||
\(380\) | −20.0327 | − | 12.4917i | −1.02765 | − | 0.640809i | ||||
\(381\) | − | 23.1675i | − | 1.18691i | ||||||
\(382\) | 1.48072 | − | 6.09013i | 0.0757603 | − | 0.311598i | ||||
\(383\) | 5.82205 | + | 10.0841i | 0.297493 | + | 0.515272i | 0.975562 | − | 0.219726i | \(-0.0705163\pi\) |
−0.678069 | + | 0.734998i | \(0.737183\pi\) | |||||||
\(384\) | 6.87254 | + | 15.1912i | 0.350713 | + | 0.775225i | ||||
\(385\) | −12.7155 | − | 22.0238i | −0.648040 | − | 1.12244i | ||||
\(386\) | −9.60134 | + | 2.81392i | −0.488695 | + | 0.143225i | ||||
\(387\) | 4.03021 | 0.204867 | ||||||||
\(388\) | −37.1428 | + | 1.73157i | −1.88564 | + | 0.0879072i | ||||
\(389\) | −12.0060 | − | 6.93167i | −0.608729 | − | 0.351450i | 0.163739 | − | 0.986504i | \(-0.447645\pi\) |
−0.772468 | + | 0.635054i | \(0.780978\pi\) | |||||||
\(390\) | 0.694983 | + | 2.37134i | 0.0351918 | + | 0.120078i | ||||
\(391\) | 13.5025i | 0.682848i | ||||||||
\(392\) | −4.47465 | − | 3.88924i | −0.226004 | − | 0.196436i | ||||
\(393\) | −12.9704 | − | 7.48849i | −0.654272 | − | 0.377744i | ||||
\(394\) | −3.77208 | + | 15.5144i | −0.190034 | + | 0.781602i | ||||
\(395\) | 4.40631 | + | 2.54399i | 0.221706 | + | 0.128002i | ||||
\(396\) | 4.34100 | − | 2.78357i | 0.218143 | − | 0.139880i | ||||
\(397\) | −10.1183 | + | 5.84182i | −0.507825 | + | 0.293193i | −0.731939 | − | 0.681370i | \(-0.761384\pi\) |
0.224114 | + | 0.974563i | \(0.428051\pi\) | |||||||
\(398\) | −7.24038 | − | 6.91070i | −0.362928 | − | 0.346402i | ||||
\(399\) | 1.55897 | − | 19.3115i | 0.0780459 | − | 0.966783i | ||||
\(400\) | 9.29372 | − | 0.868421i | 0.464686 | − | 0.0434210i | ||||
\(401\) | 21.4038 | − | 12.3575i | 1.06886 | − | 0.617105i | 0.140988 | − | 0.990011i | \(-0.454972\pi\) |
0.927869 | + | 0.372907i | \(0.121639\pi\) | |||||||
\(402\) | 10.5203 | + | 2.55784i | 0.524703 | + | 0.127573i | ||||
\(403\) | 2.13996 | − | 3.70652i | 0.106599 | − | 0.184635i | ||||
\(404\) | 1.61268 | + | 2.51498i | 0.0802337 | + | 0.125125i | ||||
\(405\) | −13.6729 | − | 7.89403i | −0.679410 | − | 0.392258i | ||||
\(406\) | 9.77720 | + | 9.33201i | 0.485234 | + | 0.463140i | ||||
\(407\) | 26.0386 | 1.29069 | ||||||||
\(408\) | −8.74875 | − | 25.4028i | −0.433128 | − | 1.25763i | ||||
\(409\) | 16.4212 | + | 9.48080i | 0.811978 | + | 0.468796i | 0.847642 | − | 0.530568i | \(-0.178021\pi\) |
−0.0356645 | + | 0.999364i | \(0.511355\pi\) | |||||||
\(410\) | −14.2348 | + | 14.9138i | −0.703005 | + | 0.736542i | ||||
\(411\) | 21.1490i | 1.04320i | ||||||||
\(412\) | 9.98435 | + | 5.16012i | 0.491894 | + | 0.254221i | ||||
\(413\) | 2.97060 | + | 5.14523i | 0.146174 | + | 0.253180i | ||||
\(414\) | 2.35424 | − | 0.689972i | 0.115705 | − | 0.0339103i | ||||
\(415\) | −8.89945 | + | 5.13810i | −0.436857 | + | 0.252219i | ||||
\(416\) | 2.45056 | + | 0.358683i | 0.120149 | + | 0.0175859i | ||||
\(417\) | − | 15.6445i | − | 0.766113i | ||||||
\(418\) | −12.7734 | − | 14.3268i | −0.624765 | − | 0.700747i | ||||
\(419\) | 8.83253 | 0.431497 | 0.215749 | − | 0.976449i | \(-0.430781\pi\) | ||||
0.215749 | + | 0.976449i | \(0.430781\pi\) | |||||||
\(420\) | 12.9945 | + | 20.2650i | 0.634066 | + | 0.988830i | ||||
\(421\) | 0.915408 | + | 1.58553i | 0.0446143 | + | 0.0772742i | 0.887470 | − | 0.460865i | \(-0.152461\pi\) |
−0.842856 | + | 0.538139i | \(0.819127\pi\) | |||||||
\(422\) | 24.6995 | − | 7.23881i | 1.20235 | − | 0.352380i | ||||
\(423\) | 1.01742 | − | 0.587406i | 0.0494685 | − | 0.0285607i | ||||
\(424\) | 8.76046 | − | 3.01711i | 0.425446 | − | 0.146524i | ||||
\(425\) | −15.0409 | −0.729588 | ||||||||
\(426\) | 13.2954 | + | 12.6900i | 0.644165 | + | 0.614834i | ||||
\(427\) | 16.6472 | − | 28.8338i | 0.805613 | − | 1.39536i | ||||
\(428\) | 8.27431 | − | 16.0100i | 0.399954 | − | 0.773874i | ||||
\(429\) | 2.00906i | 0.0969984i | ||||||||
\(430\) | 13.4833 | + | 12.8694i | 0.650223 | + | 0.620616i | ||||
\(431\) | −11.5493 | + | 20.0040i | −0.556310 | + | 0.963557i | 0.441490 | + | 0.897266i | \(0.354450\pi\) |
−0.997800 | + | 0.0662911i | \(0.978883\pi\) | |||||||
\(432\) | −18.4086 | + | 13.0525i | −0.885684 | + | 0.627989i | ||||
\(433\) | 1.33452 | + | 0.770486i | 0.0641330 | + | 0.0370272i | 0.531724 | − | 0.846918i | \(-0.321545\pi\) |
−0.467591 | + | 0.883945i | \(0.654878\pi\) | |||||||
\(434\) | 9.85051 | − | 40.5147i | 0.472840 | − | 1.94477i | ||||
\(435\) | −6.32342 | − | 10.9525i | −0.303185 | − | 0.525132i | ||||
\(436\) | −1.04740 | − | 22.4671i | −0.0501613 | − | 1.07598i | ||||
\(437\) | −3.91455 | − | 8.24971i | −0.187258 | − | 0.394637i | ||||
\(438\) | −20.8107 | − | 19.8631i | −0.994372 | − | 0.949095i | ||||
\(439\) | −18.4223 | − | 31.9083i | −0.879246 | − | 1.52290i | −0.852169 | − | 0.523266i | \(-0.824713\pi\) |
−0.0270772 | − | 0.999633i | \(-0.508620\pi\) | |||||||
\(440\) | 23.4116 | + | 4.54918i | 1.11611 | + | 0.216874i | ||||
\(441\) | 0.867864 | − | 1.50318i | 0.0413269 | − | 0.0715802i | ||||
\(442\) | −3.87786 | − | 0.942841i | −0.184451 | − | 0.0448464i | ||||
\(443\) | −12.8595 | + | 22.2732i | −0.610971 | + | 1.05823i | 0.380106 | + | 0.924943i | \(0.375887\pi\) |
−0.991077 | + | 0.133290i | \(0.957446\pi\) | |||||||
\(444\) | −24.6219 | + | 1.14785i | −1.16850 | + | 0.0544747i | ||||
\(445\) | −33.6804 | −1.59661 | ||||||||
\(446\) | 0.614858 | + | 2.09795i | 0.0291144 | + | 0.0993408i | ||||
\(447\) | −13.6177 | + | 23.5866i | −0.644097 | + | 1.11561i | ||||
\(448\) | 23.8925 | − | 3.36105i | 1.12882 | − | 0.158795i | ||||
\(449\) | − | 12.6228i | − | 0.595707i | −0.954612 | − | 0.297853i | \(-0.903729\pi\) | ||
0.954612 | − | 0.297853i | \(-0.0962706\pi\) | |||||||
\(450\) | 0.768583 | + | 2.62247i | 0.0362314 | + | 0.123625i | ||||
\(451\) | −14.5163 | + | 8.38100i | −0.683547 | + | 0.394646i | ||||
\(452\) | −3.87580 | + | 7.49933i | −0.182303 | + | 0.352739i | ||||
\(453\) | −23.6250 | + | 13.6399i | −1.11000 | + | 0.640858i | ||||
\(454\) | 1.10347 | − | 4.53852i | 0.0517884 | − | 0.213003i | ||||
\(455\) | 3.57584 | 0.167638 | ||||||||
\(456\) | 12.7099 | + | 12.9842i | 0.595197 | + | 0.608041i | ||||
\(457\) | 3.27588 | 0.153239 | 0.0766197 | − | 0.997060i | \(-0.475587\pi\) | ||||
0.0766197 | + | 0.997060i | \(0.475587\pi\) | |||||||
\(458\) | −2.94435 | + | 12.1100i | −0.137581 | + | 0.565862i | ||||
\(459\) | 31.4911 | − | 18.1814i | 1.46988 | − | 0.848636i | ||||
\(460\) | 10.0795 | + | 5.20929i | 0.469959 | + | 0.242884i | ||||
\(461\) | 14.3820 | − | 8.30348i | 0.669839 | − | 0.386732i | −0.126177 | − | 0.992008i | \(-0.540271\pi\) |
0.796015 | + | 0.605276i | \(0.206937\pi\) | |||||||
\(462\) | 5.50463 | + | 18.7823i | 0.256098 | + | 0.873830i | ||||
\(463\) | − | 29.2576i | − | 1.35972i | −0.733344 | − | 0.679858i | \(-0.762042\pi\) | ||
0.733344 | − | 0.679858i | \(-0.237958\pi\) | |||||||
\(464\) | −12.6205 | + | 1.17928i | −0.585890 | + | 0.0547466i | ||||
\(465\) | −19.5070 | + | 33.7871i | −0.904616 | + | 1.56684i | ||||
\(466\) | 2.51206 | + | 8.57137i | 0.116369 | + | 0.397061i | ||||
\(467\) | −7.69409 | −0.356040 | −0.178020 | − | 0.984027i | \(-0.556969\pi\) | ||||
−0.178020 | + | 0.984027i | \(0.556969\pi\) | |||||||
\(468\) | 0.0337668 | + | 0.724310i | 0.00156087 | + | 0.0334813i | ||||
\(469\) | 7.83354 | − | 13.5681i | 0.361719 | − | 0.626516i | ||||
\(470\) | 5.27955 | + | 1.28364i | 0.243528 | + | 0.0592099i | ||||
\(471\) | −18.0590 | + | 31.2791i | −0.832114 | + | 1.44126i | ||||
\(472\) | −5.46946 | − | 1.06278i | −0.251752 | − | 0.0489186i | ||||
\(473\) | 7.57710 | + | 13.1239i | 0.348395 | + | 0.603438i | ||||
\(474\) | −2.83265 | − | 2.70367i | −0.130108 | − | 0.124184i | ||||
\(475\) | 9.18964 | − | 4.36055i | 0.421650 | − | 0.200076i | ||||
\(476\) | −38.8366 | + | 1.81053i | −1.78007 | + | 0.0829856i | ||||
\(477\) | 1.35633 | + | 2.34923i | 0.0621019 | + | 0.107564i | ||||
\(478\) | −8.77414 | + | 36.0876i | −0.401320 | + | 1.65061i | ||||
\(479\) | 30.9763 | + | 17.8841i | 1.41534 | + | 0.817148i | 0.995885 | − | 0.0906279i | \(-0.0288874\pi\) |
0.419456 | + | 0.907776i | \(0.362221\pi\) | |||||||
\(480\) | −22.3384 | − | 3.26961i | −1.01960 | − | 0.149237i | ||||
\(481\) | −1.83064 | + | 3.17077i | −0.0834702 | + | 0.144575i | ||||
\(482\) | 1.90955 | + | 1.82260i | 0.0869775 | + | 0.0830171i | ||||
\(483\) | 9.31123i | 0.423676i | ||||||||
\(484\) | −2.31837 | − | 1.19818i | −0.105380 | − | 0.0544627i | ||||
\(485\) | 25.1735 | − | 43.6017i | 1.14307 | − | 1.97985i | ||||
\(486\) | −8.52465 | − | 8.13650i | −0.386686 | − | 0.369079i | ||||
\(487\) | −2.98739 | −0.135372 | −0.0676858 | − | 0.997707i | \(-0.521562\pi\) | ||||
−0.0676858 | + | 0.997707i | \(0.521562\pi\) | |||||||
\(488\) | 10.1675 | + | 29.5222i | 0.460259 | + | 1.33641i | ||||
\(489\) | −7.66123 | + | 4.42321i | −0.346453 | + | 0.200025i | ||||
\(490\) | 7.70350 | − | 2.25771i | 0.348008 | − | 0.101993i | ||||
\(491\) | −16.2391 | − | 28.1269i | −0.732858 | − | 1.26935i | −0.955657 | − | 0.294483i | \(-0.904853\pi\) |
0.222798 | − | 0.974865i | \(-0.428481\pi\) | |||||||
\(492\) | 13.3570 | − | 8.56492i | 0.602182 | − | 0.386136i | ||||
\(493\) | 20.4248 | 0.919887 | ||||||||
\(494\) | 2.64263 | − | 0.548189i | 0.118898 | − | 0.0246642i | ||||
\(495\) | 6.98244i | 0.313837i | ||||||||
\(496\) | 22.6169 | + | 31.8977i | 1.01553 | + | 1.43225i | ||||
\(497\) | 23.0332 | − | 13.2982i | 1.03318 | − | 0.596507i | ||||
\(498\) | 7.58960 | − | 2.22433i | 0.340098 | − | 0.0996744i | ||||
\(499\) | −4.86494 | − | 8.42632i | −0.217785 | − | 0.377214i | 0.736346 | − | 0.676605i | \(-0.236550\pi\) |
−0.954130 | + | 0.299391i | \(0.903216\pi\) | |||||||
\(500\) | 6.63062 | − | 12.8296i | 0.296530 | − | 0.573759i | ||||
\(501\) | 9.99919i | 0.446731i | ||||||||
\(502\) | 19.7578 | − | 20.7003i | 0.881832 | − | 0.923900i | ||||
\(503\) | −15.8302 | − | 9.13954i | −0.705832 | − | 0.407512i | 0.103684 | − | 0.994610i | \(-0.466937\pi\) |
−0.809516 | + | 0.587098i | \(0.800270\pi\) | |||||||
\(504\) | 2.30022 | + | 6.67890i | 0.102460 | + | 0.297502i | ||||
\(505\) | −4.04531 | −0.180014 | ||||||||
\(506\) | 6.67297 | + | 6.36913i | 0.296650 | + | 0.283142i | ||||
\(507\) | 16.3472 | + | 9.43809i | 0.726007 | + | 0.419160i | ||||
\(508\) | 26.4666 | − | 16.9711i | 1.17426 | − | 0.752972i | ||||
\(509\) | 2.39384 | − | 4.14625i | 0.106105 | − | 0.183779i | −0.808084 | − | 0.589067i | \(-0.799495\pi\) |
0.914189 | + | 0.405288i | \(0.132829\pi\) | |||||||
\(510\) | 35.3490 | + | 8.59457i | 1.56528 | + | 0.380574i | ||||
\(511\) | −36.0527 | + | 20.8150i | −1.59488 | + | 0.920803i | ||||
\(512\) | −12.3201 | + | 18.9794i | −0.544475 | + | 0.838777i | ||||
\(513\) | −13.9694 | + | 20.2382i | −0.616763 | + | 0.893537i | ||||
\(514\) | −12.2693 | − | 11.7107i | −0.541177 | − | 0.516536i | ||||
\(515\) | −13.1790 | + | 7.60892i | −0.580738 | + | 0.335289i | ||||
\(516\) | −7.74337 | − | 12.0758i | −0.340883 | − | 0.531609i | ||||
\(517\) | 3.82564 | + | 2.20874i | 0.168252 | + | 0.0971401i | ||||
\(518\) | −8.42670 | + | 34.6586i | −0.370248 | + | 1.52281i | ||||
\(519\) | −22.1959 | − | 12.8148i | −0.974294 | − | 0.562509i | ||||
\(520\) | −2.19992 | + | 2.53105i | −0.0964727 | + | 0.110994i | ||||
\(521\) | − | 14.4161i | − | 0.631582i | −0.948829 | − | 0.315791i | \(-0.897730\pi\) | ||
0.948829 | − | 0.315791i | \(-0.102270\pi\) | |||||||
\(522\) | −1.04370 | − | 3.56120i | −0.0456816 | − | 0.155870i | ||||
\(523\) | −13.5585 | − | 7.82801i | −0.592873 | − | 0.342295i | 0.173360 | − | 0.984859i | \(-0.444538\pi\) |
−0.766233 | + | 0.642563i | \(0.777871\pi\) | |||||||
\(524\) | −0.946513 | − | 20.3030i | −0.0413486 | − | 0.886942i | ||||
\(525\) | −10.3721 | −0.452676 | ||||||||
\(526\) | 38.9109 | − | 11.4038i | 1.69659 | − | 0.497230i | ||||
\(527\) | −31.5041 | − | 54.5666i | −1.37234 | − | 2.37696i | ||||
\(528\) | −16.6810 | − | 7.65889i | −0.725947 | − | 0.333310i | ||||
\(529\) | −9.30575 | − | 16.1180i | −0.404598 | − | 0.700784i | ||||
\(530\) | −2.96394 | + | 12.1905i | −0.128745 | + | 0.529523i | ||||
\(531\) | − | 1.63125i | − | 0.0707900i | ||||||
\(532\) | 23.2034 | − | 12.3654i | 1.00600 | − | 0.536110i | ||||
\(533\) | − | 2.35691i | − | 0.102089i | ||||||
\(534\) | 25.1876 | + | 6.12396i | 1.08997 | + | 0.265010i | ||||
\(535\) | 12.2010 | + | 21.1328i | 0.527495 | + | 0.913649i | ||||
\(536\) | 4.78443 | + | 13.8920i | 0.206656 | + | 0.600045i | ||||
\(537\) | −2.42043 | − | 4.19230i | −0.104449 | − | 0.180911i | ||||
\(538\) | −6.18878 | − | 21.1167i | −0.266817 | − | 0.910404i | ||||
\(539\) | 6.52660 | 0.281120 | ||||||||
\(540\) | −1.42293 | − | 30.5224i | −0.0612333 | − | 1.31347i | ||||
\(541\) | 7.10566 | + | 4.10246i | 0.305496 | + | 0.176378i | 0.644909 | − | 0.764259i | \(-0.276895\pi\) |
−0.339413 | + | 0.940637i | \(0.610228\pi\) | |||||||
\(542\) | −4.69003 | + | 1.37453i | −0.201454 | + | 0.0590413i | ||||
\(543\) | − | 12.3006i | − | 0.527870i | ||||||
\(544\) | 22.6114 | − | 28.6031i | 0.969454 | − | 1.22635i | ||||
\(545\) | 26.3740 | + | 15.2270i | 1.12974 | + | 0.652254i | ||||
\(546\) | −2.67415 | − | 0.650179i | −0.114443 | − | 0.0278251i | ||||
\(547\) | 25.9507 | + | 14.9826i | 1.10957 | + | 0.640611i | 0.938718 | − | 0.344685i | \(-0.112014\pi\) |
0.170853 | + | 0.985297i | \(0.445348\pi\) | |||||||
\(548\) | −24.1606 | + | 15.4925i | −1.03209 | + | 0.661805i | ||||
\(549\) | −7.91674 | + | 4.57073i | −0.337878 | + | 0.195074i | ||||
\(550\) | −7.09479 | + | 7.43325i | −0.302523 | + | 0.316955i | ||||
\(551\) | −12.4791 | + | 5.92143i | −0.531629 | + | 0.252261i | ||||
\(552\) | −6.59066 | − | 5.72842i | −0.280517 | − | 0.243818i | ||||
\(553\) | −4.90733 | + | 2.83325i | −0.208681 | + | 0.120482i | ||||
\(554\) | −0.472710 | + | 1.94423i | −0.0200835 | + | 0.0826025i | ||||
\(555\) | 16.6874 | − | 28.9035i | 0.708342 | − | 1.22688i | ||||
\(556\) | 17.8722 | − | 11.4602i | 0.757952 | − | 0.486020i | ||||
\(557\) | 33.2847 | + | 19.2169i | 1.41032 | + | 0.814247i | 0.995418 | − | 0.0956198i | \(-0.0304833\pi\) |
0.414900 | + | 0.909867i | \(0.363817\pi\) | |||||||
\(558\) | −7.90421 | + | 8.28129i | −0.334612 | + | 0.350575i | ||||
\(559\) | −2.13083 | −0.0901246 | ||||||||
\(560\) | −13.6317 | + | 29.6898i | −0.576045 | + | 1.25462i | ||||
\(561\) | 25.6144 | + | 14.7885i | 1.08144 | + | 0.624371i | ||||
\(562\) | 5.55030 | + | 5.29757i | 0.234125 | + | 0.223465i | ||||
\(563\) | − | 0.0334791i | − | 0.00141098i | −1.00000 | 0.000705488i | \(-0.999775\pi\) | |||
1.00000 | 0.000705488i | \(-0.000224564\pi\) | ||||||||
\(564\) | −3.71486 | − | 1.91991i | −0.156424 | − | 0.0808430i | ||||
\(565\) | −5.71512 | − | 9.89888i | −0.240437 | − | 0.416449i | ||||
\(566\) | 6.40916 | + | 21.8686i | 0.269397 | + | 0.919206i | ||||
\(567\) | 15.2275 | − | 8.79162i | 0.639496 | − | 0.369213i | ||||
\(568\) | −4.75767 | + | 24.4846i | −0.199627 | + | 1.02735i | ||||
\(569\) | 0.534632i | 0.0224129i | 0.999937 | + | 0.0112065i | \(0.00356720\pi\) | ||||
−0.999937 | + | 0.0112065i | \(0.996433\pi\) | |||||||
\(570\) | −24.0892 | + | 4.99707i | −1.00899 | + | 0.209304i | ||||
\(571\) | −37.1365 | −1.55411 | −0.777057 | − | 0.629430i | \(-0.783288\pi\) | ||||
−0.777057 | + | 0.629430i | \(0.783288\pi\) | |||||||
\(572\) | −2.29515 | + | 1.47172i | −0.0959650 | + | 0.0615355i | ||||
\(573\) | −3.26569 | − | 5.65634i | −0.136426 | − | 0.236297i | ||||
\(574\) | −6.45769 | − | 22.0342i | −0.269539 | − | 0.919690i | ||||
\(575\) | −4.23356 | + | 2.44425i | −0.176552 | + | 0.101932i | ||||
\(576\) | −6.14258 | − | 2.48083i | −0.255941 | − | 0.103368i | ||||
\(577\) | −25.7080 | −1.07024 | −0.535118 | − | 0.844777i | \(-0.679733\pi\) | ||||
−0.535118 | + | 0.844777i | \(0.679733\pi\) | |||||||
\(578\) | −23.9658 | + | 25.1091i | −0.996847 | + | 1.04440i | ||||
\(579\) | −5.21318 | + | 9.02949i | −0.216652 | + | 0.375253i | ||||
\(580\) | 7.87996 | − | 15.2470i | 0.327198 | − | 0.633097i | ||||
\(581\) | − | 11.4447i | − | 0.474804i | ||||||
\(582\) | −26.7536 | + | 28.0299i | −1.10897 | + | 1.16188i | ||||
\(583\) | −5.09999 | + | 8.83344i | −0.211220 | + | 0.365844i | ||||
\(584\) | 7.44695 | − | 38.3245i | 0.308157 | − | 1.58588i | ||||
\(585\) | −0.850264 | − | 0.490900i | −0.0351541 | − | 0.0202962i | ||||
\(586\) | 32.7025 | + | 7.95110i | 1.35093 | + | 0.328457i | ||||
\(587\) | −9.70642 | − | 16.8120i | −0.400627 | − | 0.693906i | 0.593175 | − | 0.805074i | \(-0.297874\pi\) |
−0.993802 | + | 0.111168i | \(0.964541\pi\) | |||||||
\(588\) | −6.17149 | + | 0.287710i | −0.254508 | + | 0.0118650i | ||||
\(589\) | 35.0679 | + | 24.2056i | 1.44495 | + | 0.997374i | ||||
\(590\) | 5.20893 | − | 5.45743i | 0.214448 | − | 0.224679i | ||||
\(591\) | 8.31921 | + | 14.4093i | 0.342207 | + | 0.592719i | ||||
\(592\) | −19.3478 | − | 27.2871i | −0.795189 | − | 1.12149i | ||||
\(593\) | −14.9132 | + | 25.8304i | −0.612411 | + | 1.06073i | 0.378422 | + | 0.925633i | \(0.376467\pi\) |
−0.990833 | + | 0.135093i | \(0.956867\pi\) | |||||||
\(594\) | 5.86909 | − | 24.1393i | 0.240811 | − | 0.990446i | ||||
\(595\) | 26.3214 | − | 45.5900i | 1.07907 | − | 1.86901i | ||||
\(596\) | −36.9208 | + | 1.72122i | −1.51234 | + | 0.0705040i | ||||
\(597\) | −10.4304 | −0.426886 | ||||||||
\(598\) | −1.24472 | + | 0.364798i | −0.0509005 | + | 0.0149177i | ||||
\(599\) | 3.62259 | − | 6.27451i | 0.148015 | − | 0.256369i | −0.782479 | − | 0.622677i | \(-0.786045\pi\) |
0.930494 | + | 0.366308i | \(0.119378\pi\) | |||||||
\(600\) | 6.38109 | − | 7.34157i | 0.260507 | − | 0.299718i | ||||
\(601\) | 23.7575i | 0.969088i | 0.874767 | + | 0.484544i | \(0.161015\pi\) | ||||
−0.874767 | + | 0.484544i | \(0.838985\pi\) | |||||||
\(602\) | −19.9207 | + | 5.83827i | −0.811906 | + | 0.237950i | ||||
\(603\) | −3.72532 | + | 2.15082i | −0.151707 | + | 0.0875880i | ||||
\(604\) | −32.8884 | − | 16.9974i | −1.33821 | − | 0.691615i | ||||
\(605\) | 3.06017 | − | 1.76679i | 0.124414 | − | 0.0718303i | ||||
\(606\) | 3.02524 | + | 0.735541i | 0.122892 | + | 0.0298793i | ||||
\(607\) | 15.5235 | 0.630081 | 0.315041 | − | 0.949078i | \(-0.397982\pi\) | ||||
0.315041 | + | 0.949078i | \(0.397982\pi\) | |||||||
\(608\) | −5.52263 | + | 24.0312i | −0.223972 | + | 0.974596i | ||||
\(609\) | 14.0849 | 0.570747 | ||||||||
\(610\) | −41.0813 | − | 9.98828i | −1.66333 | − | 0.404413i | ||||
\(611\) | −0.537924 | + | 0.310570i | −0.0217621 | + | 0.0125643i | ||||
\(612\) | 9.48312 | + | 4.90107i | 0.383332 | + | 0.198114i | ||||
\(613\) | 6.02011 | − | 3.47571i | 0.243150 | − | 0.140383i | −0.373474 | − | 0.927641i | \(-0.621833\pi\) |
0.616624 | + | 0.787258i | \(0.288500\pi\) | |||||||
\(614\) | −2.24768 | + | 0.658739i | −0.0907088 | + | 0.0265845i | ||||
\(615\) | 21.4846i | 0.866344i | ||||||||
\(616\) | −17.4245 | + | 20.0472i | −0.702053 | + | 0.807726i | ||||
\(617\) | −13.4941 | + | 23.3725i | −0.543253 | + | 0.940943i | 0.455461 | + | 0.890256i | \(0.349474\pi\) |
−0.998715 | + | 0.0506869i | \(0.983859\pi\) | |||||||
\(618\) | 11.2393 | − | 3.29397i | 0.452111 | − | 0.132503i | ||||
\(619\) | −21.2410 | −0.853747 | −0.426874 | − | 0.904311i | \(-0.640385\pi\) | ||||
−0.426874 | + | 0.904311i | \(0.640385\pi\) | |||||||
\(620\) | −52.8880 | + | 2.46560i | −2.12403 | + | 0.0990210i | ||||
\(621\) | 5.90923 | − | 10.2351i | 0.237129 | − | 0.410720i | ||||
\(622\) | −0.217503 | + | 0.894579i | −0.00872108 | + | 0.0358694i | ||||
\(623\) | 18.7550 | − | 32.4847i | 0.751405 | − | 1.30147i | ||||
\(624\) | 2.10539 | − | 1.49282i | 0.0842832 | − | 0.0597605i | ||||
\(625\) | 15.6111 | + | 27.0393i | 0.624446 | + | 1.08157i | ||||
\(626\) | 18.8673 | − | 19.7673i | 0.754088 | − | 0.790062i | ||||
\(627\) | −19.9373 | − | 1.60948i | −0.796218 | − | 0.0642766i | ||||
\(628\) | −48.9621 | + | 2.28258i | −1.95380 | + | 0.0910848i | ||||
\(629\) | 26.9504 | + | 46.6795i | 1.07458 | + | 1.86123i | ||||
\(630\) | −9.29395 | − | 2.25968i | −0.370280 | − | 0.0900278i | ||||
\(631\) | −7.72930 | − | 4.46251i | −0.307699 | − | 0.177650i | 0.338198 | − | 0.941075i | \(-0.390183\pi\) |
−0.645896 | + | 0.763425i | \(0.723516\pi\) | |||||||
\(632\) | 1.01364 | − | 5.21656i | 0.0403206 | − | 0.207504i | ||||
\(633\) | 13.4109 | − | 23.2284i | 0.533036 | − | 0.923245i | ||||
\(634\) | 20.4480 | − | 21.4235i | 0.812093 | − | 0.850834i | ||||
\(635\) | 42.5711i | 1.68938i | ||||||||
\(636\) | 4.43310 | − | 8.57764i | 0.175784 | − | 0.340125i | ||||
\(637\) | −0.458852 | + | 0.794756i | −0.0181804 | + | 0.0314894i | ||||
\(638\) | 9.63441 | − | 10.0940i | 0.381430 | − | 0.399626i | ||||
\(639\) | −7.30245 | −0.288880 | ||||||||
\(640\) | −12.6285 | − | 27.9144i | −0.499186 | − | 1.10341i | ||||
\(641\) | 1.70881 | − | 0.986580i | 0.0674938 | − | 0.0389675i | −0.465873 | − | 0.884851i | \(-0.654260\pi\) |
0.533367 | + | 0.845884i | \(0.320926\pi\) | |||||||
\(642\) | −5.28191 | − | 18.0224i | −0.208461 | − | 0.711286i | ||||
\(643\) | −6.70192 | − | 11.6081i | −0.264298 | − | 0.457777i | 0.703082 | − | 0.711109i | \(-0.251807\pi\) |
−0.967379 | + | 0.253332i | \(0.918474\pi\) | |||||||
\(644\) | −10.6371 | + | 6.82084i | −0.419162 | + | 0.268779i | ||||
\(645\) | 19.4238 | 0.764812 | ||||||||
\(646\) | 12.4631 | − | 37.7273i | 0.490352 | − | 1.48436i | ||||
\(647\) | − | 25.2982i | − | 0.994575i | −0.867586 | − | 0.497288i | \(-0.834329\pi\) | ||
0.867586 | − | 0.497288i | \(-0.165671\pi\) | |||||||
\(648\) | −3.14536 | + | 16.1871i | −0.123561 | + | 0.635889i | ||||
\(649\) | 5.31196 | − | 3.06686i | 0.208513 | − | 0.120385i | ||||
\(650\) | −0.406361 | − | 1.38654i | −0.0159388 | − | 0.0543846i | ||||
\(651\) | −21.7250 | − | 37.6289i | −0.851472 | − | 1.47479i | ||||
\(652\) | −10.6652 | − | 5.51201i | −0.417682 | − | 0.215867i | ||||
\(653\) | 2.28865i | 0.0895618i | 0.998997 | + | 0.0447809i | \(0.0142590\pi\) | ||||
−0.998997 | + | 0.0447809i | \(0.985741\pi\) | |||||||
\(654\) | −16.9548 | − | 16.1828i | −0.662986 | − | 0.632798i | ||||
\(655\) | 23.8336 | + | 13.7603i | 0.931257 | + | 0.537661i | ||||
\(656\) | 19.5691 | + | 8.98493i | 0.764045 | + | 0.350803i | ||||
\(657\) | 11.4302 | 0.445933 | ||||||||
\(658\) | −4.17800 | + | 4.37731i | −0.162875 | + | 0.170645i | ||||
\(659\) | −6.55373 | − | 3.78380i | −0.255297 | − | 0.147396i | 0.366890 | − | 0.930264i | \(-0.380422\pi\) |
−0.622187 | + | 0.782868i | \(0.713756\pi\) | |||||||
\(660\) | 20.9217 | − | 13.4156i | 0.814375 | − | 0.522200i | ||||
\(661\) | −7.23786 | + | 12.5363i | −0.281520 | + | 0.487607i | −0.971759 | − | 0.235974i | \(-0.924172\pi\) |
0.690239 | + | 0.723581i | \(0.257505\pi\) | |||||||
\(662\) | −2.46265 | + | 10.1288i | −0.0957136 | + | 0.393665i | ||||
\(663\) | −3.60165 | + | 2.07941i | −0.139876 | + | 0.0807577i | ||||
\(664\) | 8.10074 | + | 7.04094i | 0.314370 | + | 0.273242i | ||||
\(665\) | −2.86465 | + | 35.4855i | −0.111086 | + | 1.37607i | ||||
\(666\) | 6.76172 | − | 7.08429i | 0.262011 | − | 0.274511i | ||||
\(667\) | 5.74899 | − | 3.31918i | 0.222602 | − | 0.128519i | ||||
\(668\) | −11.4231 | + | 7.32480i | −0.441972 | + | 0.283405i | ||||
\(669\) | 1.97300 | + | 1.13911i | 0.0762804 | + | 0.0440405i | ||||
\(670\) | −19.3313 | − | 4.70011i | −0.746834 | − | 0.181581i | ||||
\(671\) | −29.7681 | − | 17.1866i | −1.14919 | − | 0.663482i | ||||
\(672\) | 15.5927 | − | 19.7246i | 0.601501 | − | 0.760892i | ||||
\(673\) | 26.5226i | 1.02237i | 0.859470 | + | 0.511186i | \(0.170794\pi\) | ||||
−0.859470 | + | 0.511186i | \(0.829206\pi\) | |||||||
\(674\) | −14.1052 | + | 4.13390i | −0.543314 | + | 0.159232i | ||||
\(675\) | 11.4012 | + | 6.58249i | 0.438833 | + | 0.253360i | ||||
\(676\) | 1.19293 | + | 25.5888i | 0.0458821 | + | 0.984186i | ||||
\(677\) | −6.15109 | −0.236405 | −0.118203 | − | 0.992989i | \(-0.537713\pi\) | ||||
−0.118203 | + | 0.992989i | \(0.537713\pi\) | |||||||
\(678\) | 2.47412 | + | 8.44193i | 0.0950181 | + | 0.324210i | ||||
\(679\) | 28.0358 | + | 48.5595i | 1.07592 | + | 1.86354i | ||||
\(680\) | 16.0761 | + | 46.6786i | 0.616491 | + | 1.79004i | ||||
\(681\) | −2.43367 | − | 4.21525i | −0.0932586 | − | 0.161529i | ||||
\(682\) | −41.8276 | − | 10.1697i | −1.60166 | − | 0.389419i | ||||
\(683\) | 2.04240i | 0.0781501i | 0.999236 | + | 0.0390750i | \(0.0124411\pi\) | ||||
−0.999236 | + | 0.0390750i | \(0.987559\pi\) | |||||||
\(684\) | −7.21487 | − | 0.245163i | −0.275867 | − | 0.00937406i | ||||
\(685\) | − | 38.8620i | − | 1.48484i | ||||||
\(686\) | 4.94152 | − | 20.3242i | 0.188668 | − | 0.775982i | ||||
\(687\) | 6.49370 | + | 11.2474i | 0.247750 | + | 0.429115i | ||||
\(688\) | 8.12310 | − | 17.6920i | 0.309690 | − | 0.674502i | ||||
\(689\) | −0.717109 | − | 1.24207i | −0.0273197 | − | 0.0473191i | ||||
\(690\) | 11.3464 | − | 3.32536i | 0.431950 | − | 0.126594i | ||||
\(691\) | 45.7370 | 1.73992 | 0.869960 | − | 0.493123i | \(-0.164145\pi\) | ||||
0.869960 | + | 0.493123i | \(0.164145\pi\) | |||||||
\(692\) | −1.61974 | − | 34.7440i | −0.0615733 | − | 1.32077i | ||||
\(693\) | −6.73454 | − | 3.88819i | −0.255824 | − | 0.147700i | ||||
\(694\) | 7.36591 | + | 25.1331i | 0.279606 | + | 0.954041i | ||||
\(695\) | 28.7473i | 1.09045i | ||||||||
\(696\) | −8.66524 | + | 9.96953i | −0.328455 | + | 0.377894i | ||||
\(697\) | −30.0493 | − | 17.3490i | −1.13820 | − | 0.657139i | ||||
\(698\) | −5.38447 | + | 22.1461i | −0.203805 | + | 0.838240i | ||||
\(699\) | 8.06086 | + | 4.65394i | 0.304890 | + | 0.176028i | ||||
\(700\) | −7.59797 | − | 11.8491i | −0.287176 | − | 0.447853i | ||||
\(701\) | 24.5743 | − | 14.1880i | 0.928159 | − | 0.535873i | 0.0419298 | − | 0.999121i | \(-0.486649\pi\) |
0.886229 | + | 0.463248i | \(0.153316\pi\) | |||||||
\(702\) | 2.52686 | + | 2.41180i | 0.0953700 | + | 0.0910275i | ||||
\(703\) | −29.9991 | − | 20.7069i | −1.13144 | − | 0.780974i | ||||
\(704\) | −3.46997 | − | 24.6668i | −0.130779 | − | 0.929664i | ||||
\(705\) | 4.90350 | − | 2.83104i | 0.184676 | − | 0.106623i | ||||
\(706\) | 44.0722 | + | 10.7155i | 1.65868 | + | 0.403282i | ||||
\(707\) | 2.25264 | − | 3.90169i | 0.0847193 | − | 0.146738i | ||||
\(708\) | −4.88775 | + | 3.13416i | −0.183693 | + | 0.117789i | ||||
\(709\) | −4.47396 | − | 2.58304i | −0.168023 | − | 0.0970082i | 0.413630 | − | 0.910445i | \(-0.364261\pi\) |
−0.581653 | + | 0.813437i | \(0.697594\pi\) | |||||||
\(710\) | −24.4308 | − | 23.3184i | −0.916871 | − | 0.875123i | ||||
\(711\) | 1.55582 | 0.0583479 | ||||||||
\(712\) | 11.4549 | + | 33.2603i | 0.429289 | + | 1.24648i | ||||
\(713\) | −17.7350 | − | 10.2393i | −0.664179 | − | 0.383464i | ||||
\(714\) | −27.9736 | + | 29.3081i | −1.04689 | + | 1.09683i | ||||
\(715\) | − | 3.69172i | − | 0.138062i | ||||||
\(716\) | 3.01623 | − | 5.83612i | 0.112722 | − | 0.218106i | ||||
\(717\) | 19.3511 | + | 33.5171i | 0.722681 | + | 1.25172i | ||||
\(718\) | 4.81223 | − | 1.41035i | 0.179591 | − | 0.0526337i | ||||
\(719\) | 30.3540 | − | 17.5249i | 1.13201 | − | 0.653568i | 0.187573 | − | 0.982251i | \(-0.439938\pi\) |
0.944441 | + | 0.328682i | \(0.106605\pi\) | |||||||
\(720\) | 7.31724 | − | 5.18824i | 0.272697 | − | 0.193354i | ||||
\(721\) | − | 16.9482i | − | 0.631184i | ||||||
\(722\) | 3.32300 | + | 26.6638i | 0.123669 | + | 0.992324i | ||||
\(723\) | 2.75086 | 0.102306 | ||||||||
\(724\) | 14.0522 | − | 9.01068i | 0.522246 | − | 0.334879i | ||||
\(725\) | 3.69735 | + | 6.40400i | 0.137316 | + | 0.237839i | ||||
\(726\) | −2.60976 | + | 0.764858i | −0.0968574 | + | 0.0283866i | ||||
\(727\) | 7.95388 | − | 4.59217i | 0.294993 | − | 0.170314i | −0.345198 | − | 0.938530i | \(-0.612188\pi\) |
0.640191 | + | 0.768215i | \(0.278855\pi\) | |||||||
\(728\) | −1.21616 | − | 3.53123i | −0.0450738 | − | 0.130876i | ||||
\(729\) | −29.7706 | −1.10261 | ||||||||
\(730\) | 38.2403 | + | 36.4991i | 1.41534 | + | 1.35089i | ||||
\(731\) | −15.6848 | + | 27.1670i | −0.580125 | + | 1.00481i | ||||
\(732\) | 28.9061 | + | 14.9393i | 1.06840 | + | 0.552171i | ||||
\(733\) | 1.04212i | 0.0384918i | 0.999815 | + | 0.0192459i | \(0.00612653\pi\) | ||||
−0.999815 | + | 0.0192459i | \(0.993873\pi\) | |||||||
\(734\) | 35.7951 | + | 34.1653i | 1.32122 | + | 1.26106i | ||||
\(735\) | 4.18272 | − | 7.24468i | 0.154282 | − | 0.267224i | ||||
\(736\) | 1.71623 | − | 11.7255i | 0.0632609 | − | 0.432206i | ||||
\(737\) | −14.0078 | − | 8.08739i | −0.515983 | − | 0.297903i | ||||
\(738\) | −1.48940 | + | 6.12582i | −0.0548255 | + | 0.225495i | ||||
\(739\) | 3.24715 | + | 5.62423i | 0.119448 | + | 0.206891i | 0.919549 | − | 0.392975i | \(-0.128554\pi\) |
−0.800101 | + | 0.599865i | \(0.795221\pi\) | |||||||
\(740\) | 45.2435 | − | 2.10922i | 1.66318 | − | 0.0775364i | ||||
\(741\) | 1.59768 | − | 2.31464i | 0.0586922 | − | 0.0850305i | ||||
\(742\) | −10.1072 | − | 9.64703i | −0.371049 | − | 0.354154i | ||||
\(743\) | 21.4582 | + | 37.1666i | 0.787224 | + | 1.36351i | 0.927662 | + | 0.373422i | \(0.121816\pi\) |
−0.140438 | + | 0.990089i | \(0.544851\pi\) | |||||||
\(744\) | 40.0000 | + | 7.77252i | 1.46647 | + | 0.284954i | ||||
\(745\) | 25.0230 | − | 43.3412i | 0.916773 | − | 1.58790i | ||||
\(746\) | −8.44382 | − | 2.05298i | −0.309150 | − | 0.0751651i | ||||
\(747\) | −1.57115 | + | 2.72131i | −0.0574854 | + | 0.0995676i | ||||
\(748\) | 1.86920 | + | 40.0951i | 0.0683448 | + | 1.46602i | ||||
\(749\) | −27.1766 | −0.993012 | ||||||||
\(750\) | −4.23266 | − | 14.4422i | −0.154555 | − | 0.527355i | ||||
\(751\) | −21.3186 | + | 36.9250i | −0.777928 | + | 1.34741i | 0.155205 | + | 0.987882i | \(0.450396\pi\) |
−0.933134 | + | 0.359529i | \(0.882937\pi\) | |||||||
\(752\) | −0.527970 | − | 5.65026i | −0.0192531 | − | 0.206044i | ||||
\(753\) | − | 29.8205i | − | 1.08672i | ||||||
\(754\) | 0.551821 | + | 1.88286i | 0.0200961 | + | 0.0685697i | ||||
\(755\) | 43.4117 | − | 25.0638i | 1.57991 | − | 0.912164i | ||||
\(756\) | 30.2311 | + | 15.6241i | 1.09950 | + | 0.568242i | ||||
\(757\) | 33.2731 | − | 19.2102i | 1.20933 | − | 0.698208i | 0.246718 | − | 0.969087i | \(-0.420648\pi\) |
0.962613 | + | 0.270879i | \(0.0873144\pi\) | |||||||
\(758\) | −5.39547 | + | 22.1913i | −0.195972 | + | 0.806025i | ||||
\(759\) | 9.61296 | 0.348928 | ||||||||
\(760\) | −23.3549 | − | 23.8589i | −0.847172 | − | 0.865454i | ||||
\(761\) | −5.18110 | −0.187815 | −0.0939074 | − | 0.995581i | \(-0.529936\pi\) | ||||
−0.0939074 | + | 0.995581i | \(0.529936\pi\) | |||||||
\(762\) | 7.74052 | − | 31.8364i | 0.280409 | − | 1.15331i | ||||
\(763\) | −29.3728 | + | 16.9584i | −1.06337 | + | 0.613935i | ||||
\(764\) | 4.06955 | − | 7.87421i | 0.147231 | − | 0.284879i | ||||
\(765\) | −12.5174 | + | 7.22694i | −0.452569 | + | 0.261291i | ||||
\(766\) | 4.63134 | + | 15.8025i | 0.167337 | + | 0.570969i | ||||
\(767\) | 0.862463i | 0.0311417i | ||||||||
\(768\) | 4.36855 | + | 23.1717i | 0.157636 | + | 0.836136i | ||||
\(769\) | 23.3360 | − | 40.4192i | 0.841519 | − | 1.45755i | −0.0470919 | − | 0.998891i | \(-0.514995\pi\) |
0.888611 | − | 0.458663i | \(-0.151671\pi\) | |||||||
\(770\) | −10.1149 | − | 34.5130i | −0.364517 | − | 1.24376i | ||||
\(771\) | −17.6750 | −0.636549 | ||||||||
\(772\) | −14.1341 | + | 0.658923i | −0.508698 | + | 0.0237152i | ||||
\(773\) | −16.0227 | + | 27.7521i | −0.576296 | + | 0.998175i | 0.419603 | + | 0.907708i | \(0.362169\pi\) |
−0.995899 | + | 0.0904668i | \(0.971164\pi\) | |||||||
\(774\) | 5.53823 | + | 1.34654i | 0.199068 | + | 0.0484002i | ||||
\(775\) | 11.4059 | − | 19.7556i | 0.409712 | − | 0.709641i | ||||
\(776\) | −51.6194 | − | 10.0303i | −1.85303 | − | 0.360067i | ||||
\(777\) | 18.5849 | + | 32.1899i | 0.666728 | + | 1.15481i | ||||
\(778\) | −14.1825 | − | 13.5367i | −0.508466 | − | 0.485314i | ||||
\(779\) | 23.3892 | + | 1.88815i | 0.838004 | + | 0.0676500i | ||||
\(780\) | 0.162741 | + | 3.49085i | 0.00582706 | + | 0.124993i | ||||
\(781\) | −13.7292 | − | 23.7796i | −0.491268 | − | 0.850901i | ||||
\(782\) | −4.51131 | + | 18.5548i | −0.161324 | + | 0.663518i | ||||
\(783\) | −15.4823 | − | 8.93874i | −0.553294 | − | 0.319444i | ||||
\(784\) | −4.84953 | − | 6.83954i | −0.173198 | − | 0.244269i | ||||
\(785\) | 33.1840 | − | 57.4763i | 1.18439 | − | 2.05142i | ||||
\(786\) | −15.3217 | − | 14.6241i | −0.546508 | − | 0.521624i | ||||
\(787\) | 32.2037i | 1.14794i | 0.818878 | + | 0.573968i | \(0.194597\pi\) | ||||
−0.818878 | + | 0.573968i | \(0.805403\pi\) | |||||||
\(788\) | −10.3670 | + | 20.0592i | −0.369310 | + | 0.714581i | ||||
\(789\) | 21.1272 | − | 36.5933i | 0.752147 | − | 1.30276i | ||||
\(790\) | 5.20509 | + | 4.96809i | 0.185189 | + | 0.176757i | ||||
\(791\) | 12.7299 | 0.452624 | ||||||||
\(792\) | 6.89533 | − | 2.37476i | 0.245015 | − | 0.0843833i | ||||
\(793\) | 4.18570 | − | 2.41661i | 0.148638 | − | 0.0858164i | ||||
\(794\) | −15.8562 | + | 4.64708i | −0.562717 | + | 0.164919i | ||||
\(795\) | 6.53688 | + | 11.3222i | 0.231839 | + | 0.401558i | ||||
\(796\) | −7.64065 | − | 11.9156i | −0.270816 | − | 0.422339i | ||||
\(797\) | −52.1341 | −1.84668 | −0.923342 | − | 0.383979i | \(-0.874554\pi\) | ||||
−0.923342 | + | 0.383979i | \(0.874554\pi\) | |||||||
\(798\) | 8.59447 | − | 26.0166i | 0.304241 | − | 0.920977i | ||||
\(799\) | 9.14431i | 0.323503i | ||||||||
\(800\) | 13.0614 | + | 1.91176i | 0.461790 | + | 0.0675911i | ||||
\(801\) | −8.91915 | + | 5.14947i | −0.315143 | + | 0.181948i | ||||
\(802\) | 33.5415 | − | 9.83019i | 1.18439 | − | 0.347116i | ||||
\(803\) | 21.4896 | + | 37.2210i | 0.758350 | + | 1.31350i | ||||
\(804\) | 13.6021 | + | 7.02986i | 0.479710 | + | 0.247924i | ||||
\(805\) | − | 17.1097i | − | 0.603038i | ||||||
\(806\) | 4.17907 | − | 4.37844i | 0.147202 | − | 0.154224i | ||||
\(807\) | −19.8590 | − | 11.4656i | −0.699068 | − | 0.403607i | ||||
\(808\) | 1.37583 | + | 3.99485i | 0.0484015 | + | 0.140538i | ||||
\(809\) | −28.3362 | −0.996249 | −0.498124 | − | 0.867106i | \(-0.665978\pi\) | ||||
−0.498124 | + | 0.867106i | \(0.665978\pi\) | |||||||
\(810\) | −16.1515 | − | 15.4161i | −0.567506 | − | 0.541665i | ||||
\(811\) | −8.67018 | − | 5.00573i | −0.304451 | − | 0.175775i | 0.339990 | − | 0.940429i | \(-0.389576\pi\) |
−0.644441 | + | 0.764654i | \(0.722910\pi\) | |||||||
\(812\) | 10.3177 | + | 16.0905i | 0.362080 | + | 0.564667i | ||||
\(813\) | −2.54651 | + | 4.41069i | −0.0893101 | + | 0.154690i | ||||
\(814\) | 35.7817 | + | 8.69977i | 1.25415 | + | 0.304927i | ||||
\(815\) | 14.0778 | − | 8.12780i | 0.493123 | − | 0.284705i | ||||
\(816\) | −3.53500 | − | 37.8311i | −0.123750 | − | 1.32435i | ||||
\(817\) | 1.70704 | − | 21.1457i | 0.0597217 | − | 0.739794i | ||||
\(818\) | 19.3981 | + | 18.5148i | 0.678238 | + | 0.647356i | ||||
\(819\) | 0.946943 | − | 0.546718i | 0.0330889 | − | 0.0191039i | ||||
\(820\) | −24.5440 | + | 15.7383i | −0.857114 | + | 0.549606i | ||||
\(821\) | −8.96021 | − | 5.17318i | −0.312714 | − | 0.180545i | 0.335427 | − | 0.942066i | \(-0.391120\pi\) |
−0.648140 | + | 0.761521i | \(0.724453\pi\) | |||||||
\(822\) | −7.06610 | + | 29.0625i | −0.246459 | + | 1.01367i | ||||
\(823\) | 19.1933 | + | 11.0812i | 0.669036 | + | 0.386268i | 0.795711 | − | 0.605676i | \(-0.207097\pi\) |
−0.126676 | + | 0.991944i | \(0.540431\pi\) | |||||||
\(824\) | 11.9962 | + | 10.4268i | 0.417909 | + | 0.363235i | ||||
\(825\) | 10.7082i | 0.372812i | ||||||||
\(826\) | 2.36306 | + | 8.06298i | 0.0822215 | + | 0.280547i | ||||
\(827\) | −15.5457 | − | 8.97531i | −0.540577 | − | 0.312102i | 0.204736 | − | 0.978817i | \(-0.434366\pi\) |
−0.745313 | + | 0.666715i | \(0.767700\pi\) | |||||||
\(828\) | 3.46568 | − | 0.161568i | 0.120441 | − | 0.00561486i | ||||
\(829\) | −30.6699 | −1.06521 | −0.532605 | − | 0.846364i | \(-0.678787\pi\) | ||||
−0.532605 | + | 0.846364i | \(0.678787\pi\) | |||||||
\(830\) | −13.9461 | + | 4.08727i | −0.484078 | + | 0.141871i | ||||
\(831\) | 1.04255 | + | 1.80575i | 0.0361656 | + | 0.0626407i | ||||
\(832\) | 3.24767 | + | 1.31165i | 0.112593 | + | 0.0454734i | ||||
\(833\) | 6.75514 | + | 11.7002i | 0.234052 | + | 0.405389i | ||||
\(834\) | 5.22698 | − | 21.4983i | 0.180996 | − | 0.744426i | ||||
\(835\) | − | 18.3739i | − | 0.635853i | ||||||
\(836\) | −12.7661 | − | 23.9553i | −0.441527 | − | 0.828512i | ||||
\(837\) | 55.1499i | 1.90626i | ||||||||
\(838\) | 12.1375 | + | 2.95104i | 0.419282 | + | 0.101942i | ||||
\(839\) | −18.8792 | − | 32.6997i | −0.651782 | − | 1.12892i | −0.982690 | − | 0.185256i | \(-0.940688\pi\) |
0.330908 | − | 0.943663i | \(-0.392645\pi\) | |||||||
\(840\) | 11.0860 | + | 32.1893i | 0.382504 | + | 1.11064i | ||||
\(841\) | 9.47916 | + | 16.4184i | 0.326868 | + | 0.566151i | ||||
\(842\) | 0.728192 | + | 2.48466i | 0.0250952 | + | 0.0856269i | ||||
\(843\) | 7.99566 | 0.275385 | ||||||||
\(844\) | 36.3601 | − | 1.69508i | 1.25157 | − | 0.0583471i | ||||
\(845\) | −30.0386 | − | 17.3428i | −1.03336 | − | 0.596610i | ||||
\(846\) | 1.59437 | − | 0.467272i | 0.0548157 | − | 0.0160651i | ||||
\(847\) | 3.93537i | 0.135221i | ||||||||
\(848\) | 13.0465 | − | 1.21909i | 0.448019 | − | 0.0418636i | ||||
\(849\) | 20.5661 | + | 11.8739i | 0.705827 | + | 0.407510i | ||||
\(850\) | −20.6688 | − | 5.02531i | −0.708935 | − | 0.172367i | ||||
\(851\) | 15.1715 | + | 8.75927i | 0.520073 | + | 0.300264i | ||||
\(852\) | 14.0304 | + | 21.8805i | 0.480674 | + | 0.749615i | ||||
\(853\) | −3.05229 | + | 1.76224i | −0.104508 | + | 0.0603379i | −0.551343 | − | 0.834279i | \(-0.685884\pi\) |
0.446835 | + | 0.894616i | \(0.352551\pi\) | |||||||
\(854\) | 32.5099 | − | 34.0608i | 1.11246 | − | 1.16554i | ||||
\(855\) | 5.55269 | − | 8.04448i | 0.189898 | − | 0.275115i | ||||
\(856\) | 16.7195 | − | 19.2361i | 0.571461 | − | 0.657477i | ||||
\(857\) | −31.7144 | + | 18.3103i | −1.08334 | + | 0.625468i | −0.931796 | − | 0.362982i | \(-0.881759\pi\) |
−0.151547 | + | 0.988450i | \(0.548425\pi\) | |||||||
\(858\) | −0.671248 | + | 2.76081i | −0.0229160 | + | 0.0942525i | ||||
\(859\) | −2.99574 | + | 5.18877i | −0.102213 | + | 0.177038i | −0.912596 | − | 0.408862i | \(-0.865926\pi\) |
0.810383 | + | 0.585900i | \(0.199259\pi\) | |||||||
\(860\) | 14.2287 | + | 22.1897i | 0.485195 | + | 0.756664i | ||||
\(861\) | −20.7218 | − | 11.9638i | −0.706199 | − | 0.407724i | ||||
\(862\) | −22.5543 | + | 23.6303i | −0.768204 | + | 0.804851i | ||||
\(863\) | −12.3914 | −0.421808 | −0.210904 | − | 0.977507i | \(-0.567641\pi\) | ||||
−0.210904 | + | 0.977507i | \(0.567641\pi\) | |||||||
\(864\) | −29.6577 | + | 11.7860i | −1.00898 | + | 0.400967i | ||||
\(865\) | 40.7858 | + | 23.5477i | 1.38676 | + | 0.800645i | ||||
\(866\) | 1.57644 | + | 1.50466i | 0.0535697 | + | 0.0511305i | ||||
\(867\) | 36.1718i | 1.22846i | ||||||||
\(868\) | 27.0728 | − | 52.3833i | 0.918909 | − | 1.77800i | ||||
\(869\) | 2.92506 | + | 5.06635i | 0.0992259 | + | 0.171864i | ||||
\(870\) | −5.03018 | − | 17.1634i | −0.170539 | − | 0.581894i | ||||
\(871\) | 1.96963 | − | 1.13717i | 0.0667385 | − | 0.0385315i | ||||
\(872\) | 6.06716 | − | 31.2237i | 0.205460 | − | 1.05737i | ||||
\(873\) | − | 15.3953i | − | 0.521052i | ||||||
\(874\) | −2.62297 | − | 12.6445i | −0.0887234 | − | 0.427706i | ||||
\(875\) | −21.7780 | −0.736230 | ||||||||
\(876\) | −21.9611 | − | 34.2485i | −0.741997 | − | 1.15715i | ||||
\(877\) | 10.4760 | + | 18.1449i | 0.353749 | + | 0.612711i | 0.986903 | − | 0.161315i | \(-0.0515735\pi\) |
−0.633154 | + | 0.774026i | \(0.718240\pi\) | |||||||
\(878\) | −14.6546 | − | 50.0028i | −0.494569 | − | 1.68751i | ||||
\(879\) | 30.3732 | − | 17.5359i | 1.02446 | − | 0.591473i | ||||
\(880\) | 30.6519 | + | 14.0735i | 1.03327 | + | 0.474416i | ||||
\(881\) | 16.3102 | 0.549504 | 0.274752 | − | 0.961515i | \(-0.411404\pi\) | ||||
0.274752 | + | 0.961515i | \(0.411404\pi\) | |||||||
\(882\) | 1.69483 | − | 1.77568i | 0.0570679 | − | 0.0597904i | ||||
\(883\) | 3.10945 | − | 5.38572i | 0.104641 | − | 0.181244i | −0.808950 | − | 0.587877i | \(-0.799964\pi\) |
0.913592 | + | 0.406633i | \(0.133297\pi\) | |||||||
\(884\) | −5.01386 | − | 2.59127i | −0.168635 | − | 0.0871538i | ||||
\(885\) | − | 7.86187i | − | 0.264274i | ||||||
\(886\) | −25.1129 | + | 26.3109i | −0.843685 | + | 0.883933i | ||||
\(887\) | 0.671412 | − | 1.16292i | 0.0225438 | − | 0.0390470i | −0.854533 | − | 0.519396i | \(-0.826157\pi\) |
0.877077 | + | 0.480349i | \(0.159490\pi\) | |||||||
\(888\) | −34.2184 | − | 6.64906i | −1.14829 | − | 0.223128i | ||||
\(889\) | −41.0597 | − | 23.7058i | −1.37710 | − | 0.795069i | ||||
\(890\) | −46.2830 | − | 11.2530i | −1.55141 | − | 0.377201i | ||||
\(891\) | −9.07652 | − | 15.7210i | −0.304075 | − | 0.526673i | ||||
\(892\) | 0.143979 | + | 3.08839i | 0.00482076 | + | 0.103407i | ||||
\(893\) | −2.65106 | − | 5.58698i | −0.0887144 | − | 0.186961i | ||||
\(894\) | −26.5937 | + | 27.8624i | −0.889428 | + | 0.931858i | ||||
\(895\) | 4.44762 | + | 7.70350i | 0.148667 | + | 0.257500i | ||||
\(896\) | 33.9556 | + | 3.36405i | 1.13438 | + | 0.112385i | ||||
\(897\) | −0.675839 | + | 1.17059i | −0.0225656 | + | 0.0390848i | ||||
\(898\) | 4.21741 | − | 17.3460i | 0.140737 | − | 0.578843i | ||||
\(899\) | −15.4887 | + | 26.8272i | −0.516577 | + | 0.894737i | ||||
\(900\) | 0.179976 | + | 3.86054i | 0.00599919 | + | 0.128685i | ||||
\(901\) | −21.1143 | −0.703419 | ||||||||
\(902\) | −22.7482 | + | 6.66695i | −0.757433 | + | 0.221985i | ||||
\(903\) | −10.8162 | + | 18.7342i | −0.359941 | + | 0.623435i | ||||
\(904\) | −7.83166 | + | 9.01047i | −0.260477 | + | 0.299684i | ||||
\(905\) | 22.6028i | 0.751342i | ||||||||
\(906\) | −37.0222 | + | 10.8503i | −1.22998 | + | 0.360477i | ||||
\(907\) | 5.49954 | − | 3.17516i | 0.182609 | − | 0.105429i | −0.405909 | − | 0.913914i | \(-0.633045\pi\) |
0.588518 | + | 0.808484i | \(0.299712\pi\) | |||||||
\(908\) | 3.03273 | − | 5.86806i | 0.100645 | − | 0.194738i | ||||
\(909\) | −1.07127 | + | 0.618497i | −0.0355317 | + | 0.0205142i | ||||
\(910\) | 4.91385 | + | 1.19473i | 0.162892 | + | 0.0396048i | ||||
\(911\) | 32.3135 | 1.07059 | 0.535296 | − | 0.844664i | \(-0.320200\pi\) | ||||
0.535296 | + | 0.844664i | \(0.320200\pi\) | |||||||
\(912\) | 13.1276 | + | 22.0892i | 0.434697 | + | 0.731445i | ||||
\(913\) | −11.8155 | −0.391037 | ||||||||
\(914\) | 4.50165 | + | 1.09451i | 0.148901 | + | 0.0362031i | ||||
\(915\) | −38.1551 | + | 22.0289i | −1.26137 | + | 0.728252i | ||||
\(916\) | −8.09215 | + | 15.6576i | −0.267372 | + | 0.517340i | ||||
\(917\) | −26.5436 | + | 15.3250i | −0.876547 | + | 0.506075i | ||||
\(918\) | 49.3491 | − | 14.4630i | 1.62876 | − | 0.477351i | ||||
\(919\) | − | 38.7254i | − | 1.27743i | −0.769443 | − | 0.638716i | \(-0.779466\pi\) | ||
0.769443 | − | 0.638716i | \(-0.220534\pi\) | |||||||
\(920\) | 12.1106 | + | 10.5262i | 0.399274 | + | 0.347038i | ||||
\(921\) | −1.22041 | + | 2.11380i | −0.0402137 | + | 0.0696522i | ||||
\(922\) | 22.5378 | − | 6.60528i | 0.742243 | − | 0.217533i | ||||
\(923\) | 3.86091 | 0.127083 | ||||||||
\(924\) | 1.28899 | + | 27.6494i | 0.0424048 | + | 0.909597i | ||||
\(925\) | −9.75726 | + | 16.9001i | −0.320817 | + | 0.555671i | ||||
\(926\) | 9.77526 | − | 40.2052i | 0.321235 | − | 1.32122i | ||||
\(927\) | −2.32669 | + | 4.02994i | −0.0764185 | + | 0.132361i | ||||
\(928\) | −17.7368 | − | 2.59609i | −0.582239 | − | 0.0852208i | ||||
\(929\) | −25.4113 | − | 44.0137i | −0.833719 | − | 1.44404i | −0.895069 | − | 0.445927i | \(-0.852874\pi\) |
0.0613502 | − | 0.998116i | \(-0.480459\pi\) | |||||||
\(930\) | −38.0948 | + | 39.9121i | −1.24918 | + | 1.30877i | ||||
\(931\) | −7.51930 | − | 5.19019i | −0.246435 | − | 0.170102i | ||||
\(932\) | 0.588238 | + | 12.6179i | 0.0192684 | + | 0.413313i | ||||
\(933\) | 0.479697 | + | 0.830860i | 0.0157046 | + | 0.0272011i | ||||
\(934\) | −10.5731 | − | 2.57068i | −0.345961 | − | 0.0841151i | ||||
\(935\) | −47.0674 | − | 27.1744i | −1.53927 | − | 0.888697i | ||||
\(936\) | −0.195598 | + | 1.00661i | −0.00639332 | + | 0.0329022i | ||||
\(937\) | −16.1691 | + | 28.0057i | −0.528221 | + | 0.914906i | 0.471238 | + | 0.882006i | \(0.343807\pi\) |
−0.999459 | + | 0.0328994i | \(0.989526\pi\) | |||||||
\(938\) | 15.2979 | − | 16.0277i | 0.499495 | − | 0.523324i | ||||
\(939\) | − | 28.4765i | − | 0.929295i | ||||||
\(940\) | 6.82617 | + | 3.52791i | 0.222645 | + | 0.115068i | ||||
\(941\) | −14.0148 | + | 24.2743i | −0.456868 | + | 0.791319i | −0.998793 | − | 0.0491078i | \(-0.984362\pi\) |
0.541925 | + | 0.840427i | \(0.317696\pi\) | |||||||
\(942\) | −35.2670 | + | 36.9494i | −1.14906 | + | 1.20388i | ||||
\(943\) | −11.2773 | −0.367241 | ||||||||
\(944\) | −7.16093 | − | 3.28786i | −0.233068 | − | 0.107011i | ||||
\(945\) | −39.9041 | + | 23.0387i | −1.29808 | + | 0.749448i | ||||
\(946\) | 6.02746 | + | 20.5662i | 0.195969 | + | 0.668665i | ||||
\(947\) | −7.39400 | − | 12.8068i | −0.240273 | − | 0.416164i | 0.720519 | − | 0.693435i | \(-0.243903\pi\) |
−0.960792 | + | 0.277271i | \(0.910570\pi\) | |||||||
\(948\) | −2.98925 | − | 4.66175i | −0.0970863 | − | 0.151407i | ||||
\(949\) | −6.04329 | −0.196174 | ||||||||
\(950\) | 14.0851 | − | 2.92182i | 0.456982 | − | 0.0947964i | ||||
\(951\) | − | 30.8623i | − | 1.00078i | ||||||
\(952\) | −53.9733 | − | 10.4877i | −1.74929 | − | 0.339908i | ||||
\(953\) | −6.69642 | + | 3.86618i | −0.216918 | + | 0.125238i | −0.604523 | − | 0.796588i | \(-0.706636\pi\) |
0.387604 | + | 0.921826i | \(0.373303\pi\) | |||||||
\(954\) | 1.07893 | + | 3.68142i | 0.0349318 | + | 0.119190i | ||||
\(955\) | 6.00082 | + | 10.3937i | 0.194182 | + | 0.336333i | ||||
\(956\) | −24.1145 | + | 46.6593i | −0.779918 | + | 1.50907i | ||||
\(957\) | − | 14.5413i | − | 0.470053i | ||||||
\(958\) | 36.5917 | + | 34.9255i | 1.18222 | + | 1.12839i | ||||
\(959\) | 37.4823 | + | 21.6404i | 1.21037 | + | 0.698805i | ||||
\(960\) | −29.6045 | − | 11.9565i | −0.955481 | − | 0.385895i | ||||
\(961\) | 64.5615 | 2.08263 | ||||||||
\(962\) | −3.57502 | + | 3.74557i | −0.115263 | + | 0.120762i | ||||
\(963\) | 6.46206 | + | 3.73087i | 0.208237 | + | 0.120226i | ||||
\(964\) | 2.01511 | + | 3.14258i | 0.0649024 | + | 0.101216i | ||||
\(965\) | 9.57939 | − | 16.5920i | 0.308371 | − | 0.534115i | ||||
\(966\) | −3.11098 | + | 12.7953i | −0.100094 | + | 0.411682i | ||||
\(967\) | −29.1031 | + | 16.8027i | −0.935892 | + | 0.540338i | −0.888670 | − | 0.458547i | \(-0.848370\pi\) |
−0.0472221 | + | 0.998884i | \(0.515037\pi\) | |||||||
\(968\) | −2.78553 | − | 2.42110i | −0.0895302 | − | 0.0778172i | ||||
\(969\) | −17.7501 | − | 37.4074i | −0.570215 | − | 1.20170i | ||||
\(970\) | 49.1607 | − | 51.5059i | 1.57845 | − | 1.65376i | ||||
\(971\) | 13.6746 | − | 7.89505i | 0.438840 | − | 0.253364i | −0.264265 | − | 0.964450i | \(-0.585130\pi\) |
0.703105 | + | 0.711086i | \(0.251796\pi\) | |||||||
\(972\) | −8.99592 | − | 14.0292i | −0.288544 | − | 0.449986i | ||||
\(973\) | −27.7266 | − | 16.0080i | −0.888875 | − | 0.513192i | ||||
\(974\) | −4.10521 | − | 0.998119i | −0.131539 | − | 0.0319818i | ||||
\(975\) | −1.30396 | − | 0.752841i | −0.0417601 | − | 0.0241102i | ||||
\(976\) | 4.10824 | + | 43.9659i | 0.131502 | + | 1.40731i | ||||
\(977\) | − | 32.5834i | − | 1.04243i | −0.853424 | − | 0.521217i | \(-0.825478\pi\) | ||
0.853424 | − | 0.521217i | \(-0.174522\pi\) | |||||||
\(978\) | −12.0058 | + | 3.51859i | −0.383902 | + | 0.112512i | ||||
\(979\) | −33.5373 | − | 19.3628i | −1.07186 | − | 0.618838i | ||||
\(980\) | 11.3403 | − | 0.528677i | 0.362253 | − | 0.0168880i | ||||
\(981\) | 9.31236 | 0.297321 | ||||||||
\(982\) | −12.9179 | − | 44.0770i | −0.412227 | − | 1.40655i | ||||
\(983\) | 3.64307 | + | 6.30998i | 0.116196 | + | 0.201257i | 0.918257 | − | 0.395985i | \(-0.129597\pi\) |
−0.802061 | + | 0.597242i | \(0.796263\pi\) | |||||||
\(984\) | 21.2166 | − | 7.30701i | 0.676361 | − | 0.232939i | ||||
\(985\) | −15.2868 | − | 26.4776i | −0.487079 | − | 0.843646i | ||||
\(986\) | 28.0674 | + | 6.82414i | 0.893847 | + | 0.217325i | ||||
\(987\) | 6.30588i | 0.200718i | ||||||||
\(988\) | 3.81461 | + | 0.129621i | 0.121359 | + | 0.00412381i | ||||
\(989\) | 10.1956i | 0.324202i | ||||||||
\(990\) | −2.33291 | + | 9.59512i | −0.0741446 | + | 0.304953i | ||||
\(991\) | −1.76345 | − | 3.05438i | −0.0560177 | − | 0.0970256i | 0.836657 | − | 0.547728i | \(-0.184507\pi\) |
−0.892674 | + | 0.450702i | \(0.851174\pi\) | |||||||
\(992\) | 20.4223 | + | 51.3897i | 0.648408 | + | 1.63162i | ||||
\(993\) | 5.43131 | + | 9.40730i | 0.172357 | + | 0.298532i | ||||
\(994\) | 36.0948 | − | 10.5785i | 1.14486 | − | 0.335530i | ||||
\(995\) | 19.1661 | 0.607608 | ||||||||
\(996\) | 11.1726 | − | 0.520861i | 0.354019 | − | 0.0165041i | ||||
\(997\) | 13.7973 | + | 7.96589i | 0.436966 | + | 0.252282i | 0.702310 | − | 0.711871i | \(-0.252152\pi\) |
−0.265344 | + | 0.964154i | \(0.585485\pi\) | |||||||
\(998\) | −3.86998 | − | 13.2047i | −0.122502 | − | 0.417988i | ||||
\(999\) | − | 47.1784i | − | 1.49266i |
(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 | 152.2.o.c.107.13 | yes | 28 | |
4.3 | odd | 2 | 608.2.s.c.335.3 | 28 | |||
8.3 | odd | 2 | inner | 152.2.o.c.107.9 | yes | 28 | |
8.5 | even | 2 | 608.2.s.c.335.4 | 28 | |||
19.8 | odd | 6 | inner | 152.2.o.c.27.9 | ✓ | 28 | |
76.27 | even | 6 | 608.2.s.c.559.4 | 28 | |||
152.27 | even | 6 | inner | 152.2.o.c.27.13 | yes | 28 | |
152.141 | odd | 6 | 608.2.s.c.559.3 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
152.2.o.c.27.9 | ✓ | 28 | 19.8 | odd | 6 | inner | |
152.2.o.c.27.13 | yes | 28 | 152.27 | even | 6 | inner | |
152.2.o.c.107.9 | yes | 28 | 8.3 | odd | 2 | inner | |
152.2.o.c.107.13 | yes | 28 | 1.1 | even | 1 | trivial | |
608.2.s.c.335.3 | 28 | 4.3 | odd | 2 | |||
608.2.s.c.335.4 | 28 | 8.5 | even | 2 | |||
608.2.s.c.559.3 | 28 | 152.141 | odd | 6 | |||
608.2.s.c.559.4 | 28 | 76.27 | even | 6 |