Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,2,Mod(29,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 114 = 2 \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 114.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.910294583043\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + \cdots + 19683 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 53.2 | ||
Root | \(-0.396613 - 1.68603i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 114.53 |
Dual form | 114.2.l.b.71.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | − | 0.342020i | −0.664463 | − | 0.241845i | ||||
\(3\) | 0.779936 | − | 1.54651i | 0.450296 | − | 0.892879i | ||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 1.86241 | + | 2.21954i | 0.832897 | + | 0.992608i | 0.999978 | + | 0.00666440i | \(0.00212136\pi\) |
−0.167081 | + | 0.985943i | \(0.553434\pi\) | |||||||
\(6\) | −1.26184 | + | 1.18649i | −0.515143 | + | 0.484383i | ||||
\(7\) | 0.562083 | − | 0.973556i | 0.212447 | − | 0.367969i | −0.740033 | − | 0.672571i | \(-0.765190\pi\) |
0.952480 | + | 0.304602i | \(0.0985233\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −1.78340 | − | 2.41236i | −0.594467 | − | 0.804120i | ||||
\(10\) | −0.990970 | − | 2.72267i | −0.313372 | − | 0.860983i | ||||
\(11\) | 2.70920 | − | 1.56416i | 0.816855 | − | 0.471611i | −0.0324759 | − | 0.999473i | \(-0.510339\pi\) |
0.849331 | + | 0.527861i | \(0.177006\pi\) | |||||||
\(12\) | 1.59154 | − | 0.683364i | 0.459439 | − | 0.197270i | ||||
\(13\) | −5.18404 | − | 0.914087i | −1.43780 | − | 0.253522i | −0.600216 | − | 0.799838i | \(-0.704919\pi\) |
−0.837579 | + | 0.546316i | \(0.816030\pi\) | |||||||
\(14\) | −0.861160 | + | 0.722599i | −0.230155 | + | 0.193123i | ||||
\(15\) | 4.88511 | − | 1.14915i | 1.26133 | − | 0.296709i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −0.880484 | + | 2.41911i | −0.213549 | + | 0.586720i | −0.999502 | − | 0.0315662i | \(-0.989951\pi\) |
0.785953 | + | 0.618286i | \(0.212173\pi\) | |||||||
\(18\) | 0.850771 | + | 2.87684i | 0.200529 | + | 0.678077i | ||||
\(19\) | 4.13617 | + | 1.37554i | 0.948902 | + | 0.315571i | ||||
\(20\) | 2.89740i | 0.647879i | ||||||||
\(21\) | −1.06723 | − | 1.62858i | −0.232888 | − | 0.355385i | ||||
\(22\) | −3.08079 | + | 0.543226i | −0.656826 | + | 0.115816i | ||||
\(23\) | −4.31710 | + | 5.14492i | −0.900178 | + | 1.07279i | 0.0968152 | + | 0.995302i | \(0.469134\pi\) |
−0.996993 | + | 0.0774881i | \(0.975310\pi\) | |||||||
\(24\) | −1.72929 | + | 0.0978116i | −0.352989 | + | 0.0199657i | ||||
\(25\) | −0.589524 | + | 3.34336i | −0.117905 | + | 0.668671i | ||||
\(26\) | 4.55877 | + | 2.63201i | 0.894049 | + | 0.516179i | ||||
\(27\) | −5.12168 | + | 0.876562i | −0.985668 | + | 0.168694i | ||||
\(28\) | 1.05637 | − | 0.384487i | 0.199635 | − | 0.0726612i | ||||
\(29\) | −1.09635 | + | 0.399039i | −0.203587 | + | 0.0740998i | −0.441801 | − | 0.897113i | \(-0.645660\pi\) |
0.238214 | + | 0.971213i | \(0.423438\pi\) | |||||||
\(30\) | −4.98353 | − | 0.590959i | −0.909864 | − | 0.107894i | ||||
\(31\) | −3.90801 | − | 2.25629i | −0.701899 | − | 0.405241i | 0.106155 | − | 0.994350i | \(-0.466146\pi\) |
−0.808054 | + | 0.589108i | \(0.799479\pi\) | |||||||
\(32\) | 0.173648 | − | 0.984808i | 0.0306970 | − | 0.174091i | ||||
\(33\) | −0.305986 | − | 5.40975i | −0.0532653 | − | 0.941717i | ||||
\(34\) | 1.65477 | − | 1.97208i | 0.283790 | − | 0.338208i | ||||
\(35\) | 3.20767 | − | 0.565599i | 0.542196 | − | 0.0956038i | ||||
\(36\) | 0.184473 | − | 2.99432i | 0.0307454 | − | 0.499054i | ||||
\(37\) | 12.0703i | 1.98435i | 0.124859 | + | 0.992174i | \(0.460152\pi\) | ||||
−0.124859 | + | 0.992174i | \(0.539848\pi\) | |||||||
\(38\) | −3.41626 | − | 2.70724i | −0.554191 | − | 0.439173i | ||||
\(39\) | −5.45687 | + | 7.30426i | −0.873799 | + | 1.16962i | ||||
\(40\) | 0.990970 | − | 2.72267i | 0.156686 | − | 0.430491i | ||||
\(41\) | −1.06170 | − | 6.02118i | −0.165809 | − | 0.940350i | −0.948226 | − | 0.317595i | \(-0.897125\pi\) |
0.782417 | − | 0.622755i | \(-0.213986\pi\) | |||||||
\(42\) | 0.445859 | + | 1.89538i | 0.0687975 | + | 0.292463i | ||||
\(43\) | 2.21295 | − | 1.85688i | 0.337471 | − | 0.283172i | −0.458265 | − | 0.888816i | \(-0.651529\pi\) |
0.795736 | + | 0.605644i | \(0.207084\pi\) | |||||||
\(44\) | 3.08079 | + | 0.543226i | 0.464446 | + | 0.0818944i | ||||
\(45\) | 2.03290 | − | 8.45114i | 0.303047 | − | 1.25982i | ||||
\(46\) | 5.81642 | − | 3.35811i | 0.857584 | − | 0.495126i | ||||
\(47\) | 0.377793 | + | 1.03798i | 0.0551068 | + | 0.151405i | 0.964192 | − | 0.265206i | \(-0.0854400\pi\) |
−0.909085 | + | 0.416611i | \(0.863218\pi\) | |||||||
\(48\) | 1.65845 | + | 0.499538i | 0.239377 | + | 0.0721021i | ||||
\(49\) | 2.86813 | + | 4.96774i | 0.409732 | + | 0.709677i | ||||
\(50\) | 1.69747 | − | 2.94010i | 0.240058 | − | 0.415793i | ||||
\(51\) | 3.05446 | + | 3.24843i | 0.427710 | + | 0.454871i | ||||
\(52\) | −3.38365 | − | 4.03247i | −0.469227 | − | 0.559203i | ||||
\(53\) | −5.66806 | − | 4.75606i | −0.778568 | − | 0.653296i | 0.164320 | − | 0.986407i | \(-0.447457\pi\) |
−0.942887 | + | 0.333111i | \(0.891901\pi\) | |||||||
\(54\) | 5.11261 | + | 0.928020i | 0.695738 | + | 0.126288i | ||||
\(55\) | 8.51736 | + | 3.10007i | 1.14848 | + | 0.418013i | ||||
\(56\) | −1.12417 | −0.150223 | ||||||||
\(57\) | 5.35324 | − | 5.32380i | 0.709054 | − | 0.705154i | ||||
\(58\) | 1.16671 | 0.153197 | ||||||||
\(59\) | 6.41833 | + | 2.33608i | 0.835596 | + | 0.304132i | 0.724153 | − | 0.689639i | \(-0.242231\pi\) |
0.111442 | + | 0.993771i | \(0.464453\pi\) | |||||||
\(60\) | 4.48087 | + | 2.25979i | 0.578477 | + | 0.291737i | ||||
\(61\) | −5.58223 | − | 4.68405i | −0.714732 | − | 0.599731i | 0.211191 | − | 0.977445i | \(-0.432266\pi\) |
−0.925922 | + | 0.377714i | \(0.876710\pi\) | |||||||
\(62\) | 2.90063 | + | 3.45684i | 0.368380 | + | 0.439019i | ||||
\(63\) | −3.35099 | + | 0.380292i | −0.422184 | + | 0.0479123i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −7.62598 | − | 13.2086i | −0.945887 | − | 1.63832i | ||||
\(66\) | −1.56271 | + | 5.18816i | −0.192357 | + | 0.638618i | ||||
\(67\) | −2.42040 | − | 6.64999i | −0.295699 | − | 0.812425i | −0.995206 | − | 0.0977999i | \(-0.968819\pi\) |
0.699508 | − | 0.714625i | \(-0.253403\pi\) | |||||||
\(68\) | −2.22946 | + | 1.28718i | −0.270362 | + | 0.156094i | ||||
\(69\) | 4.58962 | + | 10.6892i | 0.552525 | + | 1.28682i | ||||
\(70\) | −3.20767 | − | 0.565599i | −0.383390 | − | 0.0676021i | ||||
\(71\) | 3.31294 | − | 2.77989i | 0.393174 | − | 0.329912i | −0.424674 | − | 0.905346i | \(-0.639611\pi\) |
0.817848 | + | 0.575434i | \(0.195167\pi\) | |||||||
\(72\) | −1.19747 | + | 2.75065i | −0.141123 | + | 0.324167i | ||||
\(73\) | −1.30735 | − | 7.41438i | −0.153014 | − | 0.867787i | −0.960579 | − | 0.278008i | \(-0.910326\pi\) |
0.807565 | − | 0.589779i | \(-0.200785\pi\) | |||||||
\(74\) | 4.12829 | − | 11.3424i | 0.479904 | − | 1.31853i | ||||
\(75\) | 4.71075 | + | 3.51931i | 0.543950 | + | 0.406375i | ||||
\(76\) | 2.28431 | + | 3.71240i | 0.262028 | + | 0.425842i | ||||
\(77\) | − | 3.51674i | − | 0.400770i | ||||||
\(78\) | 7.62598 | − | 4.99740i | 0.863473 | − | 0.565844i | ||||
\(79\) | 4.30920 | − | 0.759829i | 0.484823 | − | 0.0854874i | 0.0741064 | − | 0.997250i | \(-0.476390\pi\) |
0.410717 | + | 0.911763i | \(0.365278\pi\) | |||||||
\(80\) | −1.86241 | + | 2.21954i | −0.208224 | + | 0.248152i | ||||
\(81\) | −2.63897 | + | 8.60441i | −0.293219 | + | 0.956045i | ||||
\(82\) | −1.06170 | + | 6.02118i | −0.117245 | + | 0.664928i | ||||
\(83\) | −12.5112 | − | 7.22333i | −1.37328 | − | 0.792863i | −0.381940 | − | 0.924187i | \(-0.624744\pi\) |
−0.991340 | + | 0.131324i | \(0.958077\pi\) | |||||||
\(84\) | 0.229287 | − | 1.93356i | 0.0250172 | − | 0.210969i | ||||
\(85\) | −7.00913 | + | 2.55111i | −0.760247 | + | 0.276707i | ||||
\(86\) | −2.71458 | + | 0.988026i | −0.292721 | + | 0.106542i | ||||
\(87\) | −0.237965 | + | 2.00675i | −0.0255125 | + | 0.215146i | ||||
\(88\) | −2.70920 | − | 1.56416i | −0.288802 | − | 0.166740i | ||||
\(89\) | −2.38095 | + | 13.5030i | −0.252380 | + | 1.43132i | 0.550331 | + | 0.834947i | \(0.314502\pi\) |
−0.802710 | + | 0.596369i | \(0.796609\pi\) | |||||||
\(90\) | −4.80076 | + | 7.24618i | −0.506045 | + | 0.763814i | ||||
\(91\) | −3.80378 | + | 4.53316i | −0.398744 | + | 0.475205i | ||||
\(92\) | −6.61418 | + | 1.16626i | −0.689576 | + | 0.121591i | ||||
\(93\) | −6.53737 | + | 4.28402i | −0.677894 | + | 0.444232i | ||||
\(94\) | − | 1.10459i | − | 0.113930i | ||||||
\(95\) | 4.65018 | + | 11.7422i | 0.477098 | + | 1.20473i | ||||
\(96\) | −1.38758 | − | 1.03664i | −0.141620 | − | 0.105801i | ||||
\(97\) | −1.47287 | + | 4.04669i | −0.149548 | + | 0.410879i | −0.991735 | − | 0.128307i | \(-0.959046\pi\) |
0.842187 | + | 0.539186i | \(0.181268\pi\) | |||||||
\(98\) | −0.996090 | − | 5.64911i | −0.100620 | − | 0.570646i | ||||
\(99\) | −8.60490 | − | 3.74605i | −0.864825 | − | 0.376492i | ||||
\(100\) | −2.60067 | + | 2.18222i | −0.260067 | + | 0.218222i | ||||
\(101\) | 5.82418 | + | 1.02696i | 0.579528 | + | 0.102186i | 0.455725 | − | 0.890121i | \(-0.349380\pi\) |
0.123802 | + | 0.992307i | \(0.460491\pi\) | |||||||
\(102\) | −1.75923 | − | 4.09721i | −0.174189 | − | 0.405684i | ||||
\(103\) | 17.2614 | − | 9.96588i | 1.70082 | − | 0.981967i | 0.755884 | − | 0.654706i | \(-0.227208\pi\) |
0.944934 | − | 0.327261i | \(-0.106126\pi\) | |||||||
\(104\) | 1.80040 | + | 4.94656i | 0.176544 | + | 0.485050i | ||||
\(105\) | 1.62707 | − | 5.40184i | 0.158786 | − | 0.527165i | ||||
\(106\) | 3.69956 | + | 6.40783i | 0.359333 | + | 0.622383i | ||||
\(107\) | 2.39183 | − | 4.14277i | 0.231227 | − | 0.400496i | −0.726943 | − | 0.686698i | \(-0.759059\pi\) |
0.958169 | + | 0.286202i | \(0.0923927\pi\) | |||||||
\(108\) | −4.48688 | − | 2.62067i | −0.431750 | − | 0.252174i | ||||
\(109\) | −5.52889 | − | 6.58908i | −0.529572 | − | 0.631119i | 0.433244 | − | 0.901276i | \(-0.357369\pi\) |
−0.962816 | + | 0.270157i | \(0.912924\pi\) | |||||||
\(110\) | −6.94341 | − | 5.82622i | −0.662029 | − | 0.555508i | ||||
\(111\) | 18.6669 | + | 9.41408i | 1.77178 | + | 0.893545i | ||||
\(112\) | 1.05637 | + | 0.384487i | 0.0998176 | + | 0.0363306i | ||||
\(113\) | 16.1668 | 1.52085 | 0.760424 | − | 0.649427i | \(-0.224991\pi\) | ||||
0.760424 | + | 0.649427i | \(0.224991\pi\) | |||||||
\(114\) | −6.85125 | + | 3.17182i | −0.641678 | + | 0.297068i | ||||
\(115\) | −19.4596 | −1.81462 | ||||||||
\(116\) | −1.09635 | − | 0.399039i | −0.101794 | − | 0.0370499i | ||||
\(117\) | 7.04012 | + | 14.1360i | 0.650859 | + | 1.30687i | ||||
\(118\) | −5.23227 | − | 4.39040i | −0.481670 | − | 0.404169i | ||||
\(119\) | 1.86023 | + | 2.21694i | 0.170527 | + | 0.203226i | ||||
\(120\) | −3.43774 | − | 3.65605i | −0.313822 | − | 0.333750i | ||||
\(121\) | −0.606822 | + | 1.05105i | −0.0551656 | + | 0.0955496i | ||||
\(122\) | 3.64354 | + | 6.31080i | 0.329871 | + | 0.571353i | ||||
\(123\) | −10.1399 | − | 3.05421i | −0.914282 | − | 0.275389i | ||||
\(124\) | −1.54339 | − | 4.24044i | −0.138601 | − | 0.380802i | ||||
\(125\) | 4.02747 | − | 2.32526i | 0.360228 | − | 0.207978i | ||||
\(126\) | 3.27896 | + | 0.788747i | 0.292113 | + | 0.0702671i | ||||
\(127\) | 7.59392 | + | 1.33901i | 0.673852 | + | 0.118818i | 0.500095 | − | 0.865970i | \(-0.333298\pi\) |
0.173756 | + | 0.984789i | \(0.444409\pi\) | |||||||
\(128\) | 0.766044 | − | 0.642788i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | −1.14573 | − | 4.87060i | −0.100876 | − | 0.428832i | ||||
\(130\) | 2.64848 | + | 15.0203i | 0.232287 | + | 1.31736i | ||||
\(131\) | −0.757267 | + | 2.08057i | −0.0661627 | + | 0.181781i | −0.968368 | − | 0.249526i | \(-0.919725\pi\) |
0.902205 | + | 0.431307i | \(0.141947\pi\) | |||||||
\(132\) | 3.24292 | − | 4.34080i | 0.282260 | − | 0.377818i | ||||
\(133\) | 3.66404 | − | 3.25362i | 0.317712 | − | 0.282125i | ||||
\(134\) | 7.07677i | 0.611340i | ||||||||
\(135\) | −11.4843 | − | 9.73525i | −0.988407 | − | 0.837877i | ||||
\(136\) | 2.53525 | − | 0.447033i | 0.217396 | − | 0.0383328i | ||||
\(137\) | 0.138747 | − | 0.165352i | 0.0118540 | − | 0.0141270i | −0.760085 | − | 0.649824i | \(-0.774843\pi\) |
0.771939 | + | 0.635697i | \(0.219287\pi\) | |||||||
\(138\) | −0.656924 | − | 11.6143i | −0.0559211 | − | 0.988672i | ||||
\(139\) | 3.25695 | − | 18.4711i | 0.276251 | − | 1.56670i | −0.458710 | − | 0.888586i | \(-0.651688\pi\) |
0.734961 | − | 0.678110i | \(-0.237201\pi\) | |||||||
\(140\) | 2.82078 | + | 1.62858i | 0.238400 | + | 0.137640i | ||||
\(141\) | 1.89990 | + | 0.225295i | 0.160000 | + | 0.0189732i | ||||
\(142\) | −4.06393 | + | 1.47915i | −0.341037 | + | 0.124127i | ||||
\(143\) | −15.4744 | + | 5.63222i | −1.29403 | + | 0.470990i | ||||
\(144\) | 2.06603 | − | 2.17521i | 0.172169 | − | 0.181267i | ||||
\(145\) | −2.92754 | − | 1.69022i | −0.243119 | − | 0.140365i | ||||
\(146\) | −1.30735 | + | 7.41438i | −0.108197 | + | 0.613618i | ||||
\(147\) | 9.91963 | − | 0.561072i | 0.818157 | − | 0.0462765i | ||||
\(148\) | −7.75865 | + | 9.24640i | −0.637757 | + | 0.760050i | ||||
\(149\) | 4.18590 | − | 0.738088i | 0.342923 | − | 0.0604665i | 0.000465272 | − | 1.00000i | \(-0.499852\pi\) |
0.342457 | + | 0.939533i | \(0.388741\pi\) | |||||||
\(150\) | −3.22298 | − | 4.91824i | −0.263155 | − | 0.401573i | ||||
\(151\) | 8.94139i | 0.727640i | 0.931469 | + | 0.363820i | \(0.118528\pi\) | ||||
−0.931469 | + | 0.363820i | \(0.881472\pi\) | |||||||
\(152\) | −0.876827 | − | 4.26980i | −0.0711201 | − | 0.346326i | ||||
\(153\) | 7.40602 | − | 2.19019i | 0.598741 | − | 0.177067i | ||||
\(154\) | −1.20280 | + | 3.30466i | −0.0969241 | + | 0.266297i | ||||
\(155\) | −2.27041 | − | 12.8761i | −0.182363 | − | 1.03423i | ||||
\(156\) | −8.87529 | + | 2.08778i | −0.710592 | + | 0.167156i | ||||
\(157\) | 1.55311 | − | 1.30322i | 0.123952 | − | 0.104008i | −0.578705 | − | 0.815537i | \(-0.696442\pi\) |
0.702656 | + | 0.711529i | \(0.251997\pi\) | |||||||
\(158\) | −4.30920 | − | 0.759829i | −0.342822 | − | 0.0604487i | ||||
\(159\) | −11.7760 | + | 5.05629i | −0.933900 | + | 0.400990i | ||||
\(160\) | 2.50922 | − | 1.44870i | 0.198371 | − | 0.114530i | ||||
\(161\) | 2.58230 | + | 7.09481i | 0.203514 | + | 0.559149i | ||||
\(162\) | 5.42270 | − | 7.18292i | 0.426048 | − | 0.564343i | ||||
\(163\) | −4.66573 | − | 8.08128i | −0.365448 | − | 0.632975i | 0.623400 | − | 0.781903i | \(-0.285751\pi\) |
−0.988848 | + | 0.148929i | \(0.952418\pi\) | |||||||
\(164\) | 3.05703 | − | 5.29493i | 0.238714 | − | 0.413465i | ||||
\(165\) | 11.4373 | − | 10.7543i | 0.890391 | − | 0.837225i | ||||
\(166\) | 9.28613 | + | 11.0668i | 0.720744 | + | 0.858949i | ||||
\(167\) | 9.70512 | + | 8.14356i | 0.751005 | + | 0.630168i | 0.935768 | − | 0.352615i | \(-0.114708\pi\) |
−0.184764 | + | 0.982783i | \(0.559152\pi\) | |||||||
\(168\) | −0.876777 | + | 1.73854i | −0.0676448 | + | 0.134131i | ||||
\(169\) | 13.8228 | + | 5.03107i | 1.06329 | + | 0.387006i | ||||
\(170\) | 7.45896 | 0.572076 | ||||||||
\(171\) | −4.05813 | − | 12.4311i | −0.310333 | − | 0.950628i | ||||
\(172\) | 2.88880 | 0.220269 | ||||||||
\(173\) | −8.86150 | − | 3.22532i | −0.673727 | − | 0.245217i | −0.0175755 | − | 0.999846i | \(-0.505595\pi\) |
−0.656152 | + | 0.754629i | \(0.727817\pi\) | |||||||
\(174\) | 0.909962 | − | 1.80434i | 0.0689840 | − | 0.136786i | ||||
\(175\) | 2.92358 | + | 2.45318i | 0.221002 | + | 0.185443i | ||||
\(176\) | 2.01084 | + | 2.39643i | 0.151573 | + | 0.180638i | ||||
\(177\) | 8.61867 | − | 8.10403i | 0.647819 | − | 0.609137i | ||||
\(178\) | 6.85566 | − | 11.8743i | 0.513853 | − | 0.890020i | ||||
\(179\) | −3.74454 | − | 6.48573i | −0.279880 | − | 0.484766i | 0.691475 | − | 0.722401i | \(-0.256961\pi\) |
−0.971355 | + | 0.237634i | \(0.923628\pi\) | |||||||
\(180\) | 6.98958 | − | 5.16722i | 0.520972 | − | 0.385142i | ||||
\(181\) | 5.46326 | + | 15.0102i | 0.406081 | + | 1.11570i | 0.959232 | + | 0.282618i | \(0.0912030\pi\) |
−0.553151 | + | 0.833081i | \(0.686575\pi\) | |||||||
\(182\) | 5.12481 | − | 2.95881i | 0.379876 | − | 0.219322i | ||||
\(183\) | −11.5977 | + | 4.97973i | −0.857329 | + | 0.368112i | ||||
\(184\) | 6.61418 | + | 1.16626i | 0.487604 | + | 0.0859778i | ||||
\(185\) | −26.7905 | + | 22.4799i | −1.96968 | + | 1.65276i | ||||
\(186\) | 7.60834 | − | 1.78975i | 0.557871 | − | 0.131231i | ||||
\(187\) | 1.39846 | + | 7.93107i | 0.102266 | + | 0.579977i | ||||
\(188\) | −0.377793 | + | 1.03798i | −0.0275534 | + | 0.0757023i | ||||
\(189\) | −2.02543 | + | 5.47894i | −0.147328 | + | 0.398534i | ||||
\(190\) | −0.353668 | − | 12.6245i | −0.0256577 | − | 0.915879i | ||||
\(191\) | − | 7.61751i | − | 0.551184i | −0.961275 | − | 0.275592i | \(-0.911126\pi\) | ||
0.961275 | − | 0.275592i | \(-0.0888738\pi\) | |||||||
\(192\) | 0.949351 | + | 1.44870i | 0.0685135 | + | 0.104551i | ||||
\(193\) | 11.8171 | − | 2.08368i | 0.850616 | − | 0.149987i | 0.268688 | − | 0.963227i | \(-0.413410\pi\) |
0.581928 | + | 0.813241i | \(0.302299\pi\) | |||||||
\(194\) | 2.76810 | − | 3.29889i | 0.198738 | − | 0.236847i | ||||
\(195\) | −26.3750 | + | 1.49182i | −1.88875 | + | 0.106831i | ||||
\(196\) | −0.996090 | + | 5.64911i | −0.0711493 | + | 0.403508i | ||||
\(197\) | 15.2618 | + | 8.81139i | 1.08736 | + | 0.627786i | 0.932871 | − | 0.360210i | \(-0.117295\pi\) |
0.154485 | + | 0.987995i | \(0.450628\pi\) | |||||||
\(198\) | 6.80474 | + | 6.46319i | 0.483592 | + | 0.459319i | ||||
\(199\) | −2.12679 | + | 0.774087i | −0.150764 | + | 0.0548736i | −0.416300 | − | 0.909227i | \(-0.636673\pi\) |
0.265536 | + | 0.964101i | \(0.414451\pi\) | |||||||
\(200\) | 3.19019 | − | 1.16114i | 0.225581 | − | 0.0821047i | ||||
\(201\) | −12.1720 | − | 1.44339i | −0.858549 | − | 0.101809i | ||||
\(202\) | −5.12170 | − | 2.95701i | −0.360361 | − | 0.208055i | ||||
\(203\) | −0.227753 | + | 1.29165i | −0.0159851 | + | 0.0906562i | ||||
\(204\) | 0.251803 | + | 4.45181i | 0.0176297 | + | 0.311689i | ||||
\(205\) | 11.3869 | − | 13.5704i | 0.795297 | − | 0.947798i | ||||
\(206\) | −19.6290 | + | 3.46111i | −1.36761 | + | 0.241147i | ||||
\(207\) | 20.1105 | + | 1.23896i | 1.39778 | + | 0.0861135i | ||||
\(208\) | − | 5.26402i | − | 0.364994i | ||||||
\(209\) | 13.3573 | − | 2.74299i | 0.923942 | − | 0.189737i | ||||
\(210\) | −3.37649 | + | 4.51957i | −0.233000 | + | 0.311880i | ||||
\(211\) | −1.31716 | + | 3.61886i | −0.0906769 | + | 0.249133i | −0.976738 | − | 0.214435i | \(-0.931209\pi\) |
0.886061 | + | 0.463568i | \(0.153431\pi\) | |||||||
\(212\) | −1.28484 | − | 7.28671i | −0.0882435 | − | 0.500454i | ||||
\(213\) | −1.71525 | − | 7.29164i | −0.117527 | − | 0.499615i | ||||
\(214\) | −3.66449 | + | 3.07487i | −0.250500 | + | 0.210194i | ||||
\(215\) | 8.24284 | + | 1.45344i | 0.562157 | + | 0.0991235i | ||||
\(216\) | 3.31997 | + | 3.99723i | 0.225895 | + | 0.271977i | ||||
\(217\) | −4.39325 | + | 2.53644i | −0.298233 | + | 0.172185i | ||||
\(218\) | 2.94186 | + | 8.08270i | 0.199248 | + | 0.547429i | ||||
\(219\) | −12.4861 | − | 3.76090i | −0.843731 | − | 0.254138i | ||||
\(220\) | 4.53199 | + | 7.84964i | 0.305547 | + | 0.529223i | ||||
\(221\) | 6.77574 | − | 11.7359i | 0.455786 | − | 0.789444i | ||||
\(222\) | −14.3213 | − | 15.2308i | −0.961186 | − | 1.02222i | ||||
\(223\) | −3.57822 | − | 4.26435i | −0.239615 | − | 0.285562i | 0.632813 | − | 0.774305i | \(-0.281900\pi\) |
−0.872428 | + | 0.488743i | \(0.837456\pi\) | |||||||
\(224\) | −0.861160 | − | 0.722599i | −0.0575387 | − | 0.0482807i | ||||
\(225\) | 9.11674 | − | 4.54039i | 0.607783 | − | 0.302693i | ||||
\(226\) | −15.1919 | − | 5.52938i | −1.01055 | − | 0.367809i | ||||
\(227\) | −24.7738 | −1.64430 | −0.822148 | − | 0.569274i | \(-0.807224\pi\) | ||||
−0.822148 | + | 0.569274i | \(0.807224\pi\) | |||||||
\(228\) | 7.52289 | − | 0.637267i | 0.498216 | − | 0.0422040i | ||||
\(229\) | −24.7947 | −1.63848 | −0.819241 | − | 0.573449i | \(-0.805605\pi\) | ||||
−0.819241 | + | 0.573449i | \(0.805605\pi\) | |||||||
\(230\) | 18.2860 | + | 6.65557i | 1.20574 | + | 0.438855i | ||||
\(231\) | −5.43869 | − | 2.74283i | −0.357839 | − | 0.180465i | ||||
\(232\) | 0.893754 | + | 0.749949i | 0.0586778 | + | 0.0492366i | ||||
\(233\) | 13.8205 | + | 16.4706i | 0.905410 | + | 1.07903i | 0.996534 | + | 0.0831862i | \(0.0265096\pi\) |
−0.0911239 | + | 0.995840i | \(0.529046\pi\) | |||||||
\(234\) | −1.78076 | − | 15.6913i | −0.116412 | − | 1.02577i | ||||
\(235\) | −1.60022 | + | 2.77167i | −0.104387 | + | 0.180804i | ||||
\(236\) | 3.41512 | + | 5.91517i | 0.222306 | + | 0.385045i | ||||
\(237\) | 2.18582 | − | 7.25685i | 0.141984 | − | 0.471383i | ||||
\(238\) | −0.989809 | − | 2.71948i | −0.0641598 | − | 0.176278i | ||||
\(239\) | 10.5128 | − | 6.06955i | 0.680015 | − | 0.392607i | −0.119846 | − | 0.992793i | \(-0.538240\pi\) |
0.799861 | + | 0.600186i | \(0.204907\pi\) | |||||||
\(240\) | 1.97998 | + | 4.61134i | 0.127807 | + | 0.297661i | ||||
\(241\) | −21.4162 | − | 3.77626i | −1.37954 | − | 0.243250i | −0.565830 | − | 0.824522i | \(-0.691444\pi\) |
−0.813709 | + | 0.581272i | \(0.802555\pi\) | |||||||
\(242\) | 0.929705 | − | 0.780115i | 0.0597637 | − | 0.0501477i | ||||
\(243\) | 11.2486 | + | 10.7921i | 0.721597 | + | 0.692313i | ||||
\(244\) | −1.26539 | − | 7.17638i | −0.0810083 | − | 0.459421i | ||||
\(245\) | −5.68445 | + | 15.6179i | −0.363166 | + | 0.997791i | ||||
\(246\) | 8.48377 | + | 6.33806i | 0.540905 | + | 0.404100i | ||||
\(247\) | −20.1847 | − | 10.9117i | −1.28432 | − | 0.694295i | ||||
\(248\) | 4.51258i | 0.286549i | ||||||||
\(249\) | −20.9289 | + | 13.7149i | −1.32631 | + | 0.869149i | ||||
\(250\) | −4.57987 | + | 0.807555i | −0.289657 | + | 0.0510743i | ||||
\(251\) | 12.5021 | − | 14.8994i | 0.789127 | − | 0.940445i | −0.210181 | − | 0.977663i | \(-0.567405\pi\) |
0.999307 | + | 0.0372181i | \(0.0118496\pi\) | |||||||
\(252\) | −2.81145 | − | 1.86265i | −0.177105 | − | 0.117336i | ||||
\(253\) | −3.64843 | + | 20.6913i | −0.229375 | + | 1.30085i | ||||
\(254\) | −6.67798 | − | 3.85554i | −0.419014 | − | 0.241918i | ||||
\(255\) | −1.52134 | + | 12.8294i | −0.0952702 | + | 0.803409i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −10.1861 | + | 3.70746i | −0.635395 | + | 0.231265i | −0.639578 | − | 0.768727i | \(-0.720891\pi\) |
0.00418306 | + | 0.999991i | \(0.498668\pi\) | |||||||
\(258\) | −0.589204 | + | 4.96873i | −0.0366822 | + | 0.309340i | ||||
\(259\) | 11.7511 | + | 6.78452i | 0.730180 | + | 0.421569i | ||||
\(260\) | 2.64848 | − | 15.0203i | 0.164252 | − | 0.931517i | ||||
\(261\) | 2.91786 | + | 1.93315i | 0.180611 | + | 0.119659i | ||||
\(262\) | 1.42320 | − | 1.69610i | 0.0879253 | − | 0.104785i | ||||
\(263\) | −30.4663 | + | 5.37204i | −1.87863 | + | 0.331254i | −0.991484 | − | 0.130227i | \(-0.958429\pi\) |
−0.887150 | + | 0.461481i | \(0.847318\pi\) | |||||||
\(264\) | −4.53199 | + | 2.96987i | −0.278925 | + | 0.182783i | ||||
\(265\) | − | 21.4382i | − | 1.31694i | ||||||
\(266\) | −4.55587 | + | 1.80423i | −0.279338 | + | 0.110624i | ||||
\(267\) | 19.0256 | + | 14.2136i | 1.16435 | + | 0.869861i | ||||
\(268\) | 2.42040 | − | 6.64999i | 0.147849 | − | 0.406213i | ||||
\(269\) | 0.880210 | + | 4.99192i | 0.0536673 | + | 0.304363i | 0.999812 | − | 0.0193811i | \(-0.00616958\pi\) |
−0.946145 | + | 0.323744i | \(0.895058\pi\) | |||||||
\(270\) | 7.46202 | + | 13.0760i | 0.454124 | + | 0.795779i | ||||
\(271\) | 4.01481 | − | 3.36882i | 0.243882 | − | 0.204641i | −0.512650 | − | 0.858597i | \(-0.671336\pi\) |
0.756533 | + | 0.653956i | \(0.226892\pi\) | |||||||
\(272\) | −2.53525 | − | 0.447033i | −0.153722 | − | 0.0271054i | ||||
\(273\) | 4.04389 | + | 9.41816i | 0.244747 | + | 0.570013i | ||||
\(274\) | −0.186934 | + | 0.107926i | −0.0112931 | + | 0.00652006i | ||||
\(275\) | 3.63240 | + | 9.97993i | 0.219042 | + | 0.601812i | ||||
\(276\) | −3.35501 | + | 11.1385i | −0.201948 | + | 0.670460i | ||||
\(277\) | 2.15677 | + | 3.73563i | 0.129588 | + | 0.224453i | 0.923517 | − | 0.383558i | \(-0.125301\pi\) |
−0.793929 | + | 0.608010i | \(0.791968\pi\) | |||||||
\(278\) | −9.37801 | + | 16.2432i | −0.562456 | + | 0.974202i | ||||
\(279\) | 1.52655 | + | 13.4514i | 0.0913924 | + | 0.805314i | ||||
\(280\) | −2.09366 | − | 2.49513i | −0.125120 | − | 0.149112i | ||||
\(281\) | −8.43804 | − | 7.08036i | −0.503371 | − | 0.422379i | 0.355418 | − | 0.934707i | \(-0.384339\pi\) |
−0.858789 | + | 0.512329i | \(0.828783\pi\) | |||||||
\(282\) | −1.70827 | − | 0.861512i | −0.101726 | − | 0.0513023i | ||||
\(283\) | −3.71261 | − | 1.35128i | −0.220691 | − | 0.0803251i | 0.229308 | − | 0.973354i | \(-0.426354\pi\) |
−0.450000 | + | 0.893029i | \(0.648576\pi\) | |||||||
\(284\) | 4.32474 | 0.256626 | ||||||||
\(285\) | 21.7863 | + | 1.96661i | 1.29051 | + | 0.116492i | ||||
\(286\) | 16.4675 | 0.973744 | ||||||||
\(287\) | −6.45871 | − | 2.35078i | −0.381246 | − | 0.138762i | ||||
\(288\) | −2.68540 | + | 1.33740i | −0.158238 | + | 0.0788073i | ||||
\(289\) | 7.94592 | + | 6.66742i | 0.467407 | + | 0.392201i | ||||
\(290\) | 2.17290 | + | 2.58956i | 0.127597 | + | 0.152064i | ||||
\(291\) | 5.10951 | + | 5.43398i | 0.299525 | + | 0.318545i | ||||
\(292\) | 3.76438 | − | 6.52009i | 0.220294 | − | 0.381560i | ||||
\(293\) | −10.0719 | − | 17.4450i | −0.588406 | − | 1.01915i | −0.994441 | − | 0.105291i | \(-0.966422\pi\) |
0.406036 | − | 0.913857i | \(-0.366911\pi\) | |||||||
\(294\) | −9.51330 | − | 2.86548i | −0.554827 | − | 0.167118i | ||||
\(295\) | 6.76857 | + | 18.5965i | 0.394081 | + | 1.08273i | ||||
\(296\) | 10.4532 | − | 6.03516i | 0.607580 | − | 0.350787i | ||||
\(297\) | −12.5046 | + | 10.3859i | −0.725590 | + | 0.602651i | ||||
\(298\) | −4.18590 | − | 0.738088i | −0.242483 | − | 0.0427563i | ||||
\(299\) | 27.0830 | − | 22.7253i | 1.56625 | − | 1.31424i | ||||
\(300\) | 1.34647 | + | 5.72396i | 0.0777388 | + | 0.330473i | ||||
\(301\) | −0.563920 | − | 3.19815i | −0.0325038 | − | 0.184338i | ||||
\(302\) | 3.05814 | − | 8.40216i | 0.175976 | − | 0.483490i | ||||
\(303\) | 6.13070 | − | 8.20620i | 0.352199 | − | 0.471434i | ||||
\(304\) | −0.636409 | + | 4.31219i | −0.0365005 | + | 0.247321i | ||||
\(305\) | − | 21.1136i | − | 1.20896i | ||||||
\(306\) | −7.70847 | − | 0.474899i | −0.440664 | − | 0.0271482i | ||||
\(307\) | −6.45677 | + | 1.13850i | −0.368508 | + | 0.0649778i | −0.354836 | − | 0.934929i | \(-0.615463\pi\) |
−0.0136720 | + | 0.999907i | \(0.504352\pi\) | |||||||
\(308\) | 2.26052 | − | 2.69398i | 0.128805 | − | 0.153504i | ||||
\(309\) | −1.94956 | − | 34.4677i | −0.110906 | − | 1.96080i | ||||
\(310\) | −2.27041 | + | 12.8761i | −0.128950 | + | 0.731314i | ||||
\(311\) | 1.86672 | + | 1.07775i | 0.105852 | + | 0.0611137i | 0.551991 | − | 0.833850i | \(-0.313868\pi\) |
−0.446139 | + | 0.894963i | \(0.647201\pi\) | |||||||
\(312\) | 9.05411 | + | 1.07366i | 0.512588 | + | 0.0607840i | ||||
\(313\) | 15.9106 | − | 5.79098i | 0.899320 | − | 0.327326i | 0.149340 | − | 0.988786i | \(-0.452285\pi\) |
0.749980 | + | 0.661460i | \(0.230063\pi\) | |||||||
\(314\) | −1.90517 | + | 0.693426i | −0.107515 | + | 0.0391323i | ||||
\(315\) | −7.08499 | − | 6.72938i | −0.399194 | − | 0.379157i | ||||
\(316\) | 3.78945 | + | 2.18784i | 0.213173 | + | 0.123076i | ||||
\(317\) | 0.961500 | − | 5.45293i | 0.0540032 | − | 0.306267i | −0.945827 | − | 0.324670i | \(-0.894747\pi\) |
0.999831 | + | 0.0184023i | \(0.00585798\pi\) | |||||||
\(318\) | 12.7952 | − | 0.723720i | 0.717520 | − | 0.0405842i | ||||
\(319\) | −2.34608 | + | 2.79595i | −0.131355 | + | 0.156543i | ||||
\(320\) | −2.85338 | + | 0.503128i | −0.159509 | + | 0.0281257i | ||||
\(321\) | −4.54137 | − | 6.93009i | −0.253474 | − | 0.386800i | ||||
\(322\) | − | 7.55014i | − | 0.420753i | ||||||
\(323\) | −6.96942 | + | 8.79469i | −0.387789 | + | 0.489350i | ||||
\(324\) | −7.55238 | + | 4.89506i | −0.419576 | + | 0.271948i | ||||
\(325\) | 6.11224 | − | 16.7932i | 0.339046 | − | 0.931521i | ||||
\(326\) | 1.62039 | + | 9.18969i | 0.0897451 | + | 0.508970i | ||||
\(327\) | −14.5023 | + | 3.41144i | −0.801977 | + | 0.188653i | ||||
\(328\) | −4.68364 | + | 3.93004i | −0.258611 | + | 0.217000i | ||||
\(329\) | 1.22288 | + | 0.215627i | 0.0674195 | + | 0.0118879i | ||||
\(330\) | −14.4257 | + | 6.19400i | −0.794111 | + | 0.340968i | ||||
\(331\) | −6.67525 | + | 3.85396i | −0.366905 | + | 0.211833i | −0.672106 | − | 0.740455i | \(-0.734610\pi\) |
0.305200 | + | 0.952288i | \(0.401277\pi\) | |||||||
\(332\) | −4.94105 | − | 13.5754i | −0.271175 | − | 0.745048i | ||||
\(333\) | 29.1180 | − | 21.5262i | 1.59566 | − | 1.17963i | ||||
\(334\) | −6.33457 | − | 10.9718i | −0.346612 | − | 0.600350i | ||||
\(335\) | 10.2521 | − | 17.7572i | 0.560133 | − | 0.970179i | ||||
\(336\) | 1.41851 | − | 1.33381i | 0.0773863 | − | 0.0727655i | ||||
\(337\) | 8.14195 | + | 9.70320i | 0.443520 | + | 0.528567i | 0.940772 | − | 0.339039i | \(-0.110102\pi\) |
−0.497252 | + | 0.867606i | \(0.665657\pi\) | |||||||
\(338\) | −11.2684 | − | 9.45533i | −0.612921 | − | 0.514302i | ||||
\(339\) | 12.6091 | − | 25.0022i | 0.684832 | − | 1.35793i | ||||
\(340\) | −7.00913 | − | 2.55111i | −0.380123 | − | 0.138354i | ||||
\(341\) | −14.1168 | −0.764466 | ||||||||
\(342\) | −0.438284 | + | 13.0693i | −0.0236997 | + | 0.706710i | ||||
\(343\) | 14.3177 | 0.773081 | ||||||||
\(344\) | −2.71458 | − | 0.988026i | −0.146360 | − | 0.0532708i | ||||
\(345\) | −15.1772 | + | 30.0945i | −0.817115 | + | 1.62023i | ||||
\(346\) | 7.22396 | + | 6.06162i | 0.388363 | + | 0.325875i | ||||
\(347\) | −2.93143 | − | 3.49354i | −0.157367 | − | 0.187543i | 0.681600 | − | 0.731725i | \(-0.261284\pi\) |
−0.838967 | + | 0.544182i | \(0.816840\pi\) | |||||||
\(348\) | −1.47220 | + | 1.38430i | −0.0789184 | + | 0.0742061i | ||||
\(349\) | 0.809906 | − | 1.40280i | 0.0433533 | − | 0.0750901i | −0.843535 | − | 0.537075i | \(-0.819529\pi\) |
0.886888 | + | 0.461985i | \(0.152863\pi\) | |||||||
\(350\) | −1.90823 | − | 3.30516i | −0.101999 | − | 0.176668i | ||||
\(351\) | 27.3523 | + | 0.137530i | 1.45996 | + | 0.00734079i | ||||
\(352\) | −1.06995 | − | 2.93965i | −0.0570284 | − | 0.156684i | ||||
\(353\) | 5.92549 | − | 3.42108i | 0.315382 | − | 0.182086i | −0.333950 | − | 0.942591i | \(-0.608382\pi\) |
0.649332 | + | 0.760505i | \(0.275048\pi\) | |||||||
\(354\) | −10.8706 | + | 4.66754i | −0.577768 | + | 0.248077i | ||||
\(355\) | 12.3401 | + | 2.17590i | 0.654947 | + | 0.115485i | ||||
\(356\) | −10.5035 | + | 8.81346i | −0.556683 | + | 0.467113i | ||||
\(357\) | 4.87938 | − | 1.14780i | 0.258244 | − | 0.0607481i | ||||
\(358\) | 1.30046 | + | 7.37530i | 0.0687317 | + | 0.389797i | ||||
\(359\) | 1.39824 | − | 3.84165i | 0.0737965 | − | 0.202754i | −0.897310 | − | 0.441401i | \(-0.854482\pi\) |
0.971106 | + | 0.238647i | \(0.0767038\pi\) | |||||||
\(360\) | −8.33535 | + | 2.46503i | −0.439311 | + | 0.129918i | ||||
\(361\) | 15.2158 | + | 11.3790i | 0.800829 | + | 0.598893i | ||||
\(362\) | − | 15.9735i | − | 0.839549i | ||||||
\(363\) | 1.15217 | + | 1.75821i | 0.0604734 | + | 0.0922819i | ||||
\(364\) | −5.82772 | + | 1.02758i | −0.305456 | + | 0.0538601i | ||||
\(365\) | 14.0217 | − | 16.7104i | 0.733927 | − | 0.874660i | ||||
\(366\) | 12.6015 | − | 0.712762i | 0.658689 | − | 0.0372567i | ||||
\(367\) | −1.71891 | + | 9.74845i | −0.0897266 | + | 0.508865i | 0.906510 | + | 0.422185i | \(0.138737\pi\) |
−0.996236 | + | 0.0866798i | \(0.972374\pi\) | |||||||
\(368\) | −5.81642 | − | 3.35811i | −0.303202 | − | 0.175054i | ||||
\(369\) | −12.6318 | + | 13.2994i | −0.657587 | + | 0.692337i | ||||
\(370\) | 32.8635 | − | 11.9613i | 1.70849 | − | 0.621840i | ||||
\(371\) | −7.81621 | + | 2.84487i | −0.405797 | + | 0.147698i | ||||
\(372\) | −7.76163 | − | 0.920394i | −0.402422 | − | 0.0477202i | ||||
\(373\) | 6.90673 | + | 3.98760i | 0.357617 | + | 0.206470i | 0.668035 | − | 0.744130i | \(-0.267136\pi\) |
−0.310418 | + | 0.950600i | \(0.600469\pi\) | |||||||
\(374\) | 1.39846 | − | 7.93107i | 0.0723127 | − | 0.410106i | ||||
\(375\) | −0.454875 | − | 8.04209i | −0.0234897 | − | 0.415292i | ||||
\(376\) | 0.710018 | − | 0.846167i | 0.0366164 | − | 0.0436377i | ||||
\(377\) | 6.04829 | − | 1.06648i | 0.311503 | − | 0.0549264i | ||||
\(378\) | 3.77719 | − | 4.45579i | 0.194278 | − | 0.229181i | ||||
\(379\) | 10.7490i | 0.552141i | 0.961137 | + | 0.276071i | \(0.0890323\pi\) | ||||
−0.961137 | + | 0.276071i | \(0.910968\pi\) | |||||||
\(380\) | −3.98550 | + | 11.9841i | −0.204452 | + | 0.614773i | ||||
\(381\) | 7.99358 | − | 10.6997i | 0.409523 | − | 0.548165i | ||||
\(382\) | −2.60534 | + | 7.15812i | −0.133301 | + | 0.366241i | ||||
\(383\) | 0.913805 | + | 5.18245i | 0.0466933 | + | 0.264811i | 0.999213 | − | 0.0396663i | \(-0.0126295\pi\) |
−0.952520 | + | 0.304477i | \(0.901518\pi\) | |||||||
\(384\) | −0.396613 | − | 1.68603i | −0.0202396 | − | 0.0860399i | ||||
\(385\) | 7.80554 | − | 6.54963i | 0.397807 | − | 0.333800i | ||||
\(386\) | −11.8171 | − | 2.08368i | −0.601476 | − | 0.106057i | ||||
\(387\) | −8.42604 | − | 2.02686i | −0.428320 | − | 0.103031i | ||||
\(388\) | −3.72945 | + | 2.15320i | −0.189334 | + | 0.109312i | ||||
\(389\) | 5.43196 | + | 14.9242i | 0.275411 | + | 0.756686i | 0.997868 | + | 0.0652695i | \(0.0207907\pi\) |
−0.722457 | + | 0.691416i | \(0.756987\pi\) | |||||||
\(390\) | 25.2947 | + | 7.61894i | 1.28084 | + | 0.385800i | ||||
\(391\) | −8.64499 | − | 14.9736i | −0.437196 | − | 0.757245i | ||||
\(392\) | 2.86813 | − | 4.96774i | 0.144862 | − | 0.250909i | ||||
\(393\) | 2.62701 | + | 2.79384i | 0.132515 | + | 0.140930i | ||||
\(394\) | −11.3277 | − | 13.4998i | −0.570681 | − | 0.680112i | ||||
\(395\) | 9.71199 | + | 8.14933i | 0.488663 | + | 0.410037i | ||||
\(396\) | −4.18382 | − | 8.40077i | −0.210245 | − | 0.422154i | ||||
\(397\) | −33.6599 | − | 12.2512i | −1.68934 | − | 0.614870i | −0.694799 | − | 0.719204i | \(-0.744507\pi\) |
−0.994542 | + | 0.104334i | \(0.966729\pi\) | |||||||
\(398\) | 2.26328 | 0.113448 | ||||||||
\(399\) | −2.17405 | − | 8.20409i | −0.108839 | − | 0.410718i | ||||
\(400\) | −3.39493 | −0.169747 | ||||||||
\(401\) | 5.57564 | + | 2.02937i | 0.278434 | + | 0.101342i | 0.477463 | − | 0.878652i | \(-0.341557\pi\) |
−0.199029 | + | 0.979994i | \(0.563779\pi\) | |||||||
\(402\) | 10.9443 | + | 5.51943i | 0.545852 | + | 0.275284i | ||||
\(403\) | 18.1968 | + | 15.2690i | 0.906449 | + | 0.760601i | ||||
\(404\) | 3.80146 | + | 4.53041i | 0.189130 | + | 0.225396i | ||||
\(405\) | −24.0127 | + | 10.1677i | −1.19320 | + | 0.505235i | ||||
\(406\) | 0.655789 | − | 1.13586i | 0.0325463 | − | 0.0563718i | ||||
\(407\) | 18.8799 | + | 32.7009i | 0.935841 | + | 1.62092i | ||||
\(408\) | 1.28599 | − | 4.26945i | 0.0636661 | − | 0.211369i | ||||
\(409\) | 9.06715 | + | 24.9118i | 0.448342 | + | 1.23181i | 0.933878 | + | 0.357592i | \(0.116402\pi\) |
−0.485536 | + | 0.874217i | \(0.661375\pi\) | |||||||
\(410\) | −15.3415 | + | 8.85745i | −0.757665 | + | 0.437438i | ||||
\(411\) | −0.147506 | − | 0.343539i | −0.00727592 | − | 0.0169455i | ||||
\(412\) | 19.6290 | + | 3.46111i | 0.967049 | + | 0.170517i | ||||
\(413\) | 5.88194 | − | 4.93553i | 0.289431 | − | 0.242862i | ||||
\(414\) | −18.4740 | − | 8.04245i | −0.907946 | − | 0.395265i | ||||
\(415\) | −7.26852 | − | 41.2218i | −0.356798 | − | 2.02350i | ||||
\(416\) | −1.80040 | + | 4.94656i | −0.0882719 | + | 0.242525i | ||||
\(417\) | −26.0255 | − | 19.4432i | −1.27448 | − | 0.952136i | ||||
\(418\) | −13.4899 | − | 1.99089i | −0.659812 | − | 0.0973775i | ||||
\(419\) | − | 8.21543i | − | 0.401350i | −0.979658 | − | 0.200675i | \(-0.935686\pi\) | ||
0.979658 | − | 0.200675i | \(-0.0643135\pi\) | |||||||
\(420\) | 4.71865 | − | 3.09218i | 0.230246 | − | 0.150883i | ||||
\(421\) | −16.5911 | + | 2.92547i | −0.808603 | + | 0.142578i | −0.562641 | − | 0.826701i | \(-0.690215\pi\) |
−0.245961 | + | 0.969280i | \(0.579104\pi\) | |||||||
\(422\) | 2.47545 | − | 2.95012i | 0.120503 | − | 0.143610i | ||||
\(423\) | 1.83022 | − | 2.76250i | 0.0889884 | − | 0.134317i | ||||
\(424\) | −1.28484 | + | 7.28671i | −0.0623976 | + | 0.353874i | ||||
\(425\) | −7.56888 | − | 4.36989i | −0.367144 | − | 0.211971i | ||||
\(426\) | −0.882082 | + | 7.43855i | −0.0427370 | + | 0.360399i | ||||
\(427\) | −7.69786 | + | 2.80179i | −0.372526 | + | 0.135588i | ||||
\(428\) | 4.49517 | − | 1.63611i | 0.217282 | − | 0.0790842i | ||||
\(429\) | −3.35874 | + | 28.3241i | −0.162162 | + | 1.36750i | ||||
\(430\) | −7.24863 | − | 4.18500i | −0.349560 | − | 0.201819i | ||||
\(431\) | −5.03223 | + | 28.5392i | −0.242394 | + | 1.37469i | 0.584073 | + | 0.811701i | \(0.301458\pi\) |
−0.826467 | + | 0.562985i | \(0.809653\pi\) | |||||||
\(432\) | −1.75262 | − | 4.89166i | −0.0843228 | − | 0.235350i | ||||
\(433\) | −17.6845 | + | 21.0756i | −0.849863 | + | 1.01283i | 0.149846 | + | 0.988709i | \(0.452122\pi\) |
−0.999709 | + | 0.0241176i | \(0.992322\pi\) | |||||||
\(434\) | 4.99581 | − | 0.880897i | 0.239807 | − | 0.0422844i | ||||
\(435\) | −4.89724 | + | 3.20922i | −0.234805 | + | 0.153870i | ||||
\(436\) | − | 8.60143i | − | 0.411934i | ||||||
\(437\) | −24.9333 | + | 15.3419i | −1.19272 | + | 0.733902i | ||||
\(438\) | 10.4468 | + | 7.80458i | 0.499166 | + | 0.372917i | ||||
\(439\) | −5.19707 | + | 14.2788i | −0.248042 | + | 0.681491i | 0.751715 | + | 0.659488i | \(0.229227\pi\) |
−0.999758 | + | 0.0220034i | \(0.992996\pi\) | |||||||
\(440\) | −1.57394 | − | 8.92628i | −0.0750348 | − | 0.425544i | ||||
\(441\) | 6.86897 | − | 15.7784i | 0.327094 | − | 0.751353i | ||||
\(442\) | −10.3810 | + | 8.71073i | −0.493776 | + | 0.414327i | ||||
\(443\) | 4.75117 | + | 0.837760i | 0.225735 | + | 0.0398032i | 0.285371 | − | 0.958417i | \(-0.407883\pi\) |
−0.0596365 | + | 0.998220i | \(0.518994\pi\) | |||||||
\(444\) | 8.24842 | + | 19.2105i | 0.391453 | + | 0.911688i | ||||
\(445\) | −34.4047 | + | 19.8636i | −1.63094 | + | 0.941624i | ||||
\(446\) | 1.90393 | + | 5.23100i | 0.0901537 | + | 0.247695i | ||||
\(447\) | 2.12328 | − | 7.04921i | 0.100427 | − | 0.333416i | ||||
\(448\) | 0.562083 | + | 0.973556i | 0.0265559 | + | 0.0459962i | ||||
\(449\) | 1.78666 | − | 3.09458i | 0.0843176 | − | 0.146042i | −0.820783 | − | 0.571241i | \(-0.806462\pi\) |
0.905100 | + | 0.425198i | \(0.139796\pi\) | |||||||
\(450\) | −10.1198 | + | 1.14847i | −0.477054 | + | 0.0541393i | ||||
\(451\) | −12.2944 | − | 14.6519i | −0.578921 | − | 0.689932i | ||||
\(452\) | 12.3845 | + | 10.3918i | 0.582519 | + | 0.488791i | ||||
\(453\) | 13.8280 | + | 6.97372i | 0.649695 | + | 0.327654i | ||||
\(454\) | 23.2798 | + | 8.47314i | 1.09257 | + | 0.397664i | ||||
\(455\) | −17.1457 | −0.803804 | ||||||||
\(456\) | −7.28716 | − | 1.97415i | −0.341253 | − | 0.0924478i | ||||
\(457\) | 26.0709 | 1.21955 | 0.609774 | − | 0.792576i | \(-0.291260\pi\) | ||||
0.609774 | + | 0.792576i | \(0.291260\pi\) | |||||||
\(458\) | 23.2994 | + | 8.48030i | 1.08871 | + | 0.396258i | ||||
\(459\) | 2.38906 | − | 13.1617i | 0.111512 | − | 0.614336i | ||||
\(460\) | −14.9069 | − | 12.5084i | −0.695038 | − | 0.583206i | ||||
\(461\) | 8.46456 | + | 10.0877i | 0.394234 | + | 0.469830i | 0.926253 | − | 0.376903i | \(-0.123011\pi\) |
−0.532019 | + | 0.846732i | \(0.678567\pi\) | |||||||
\(462\) | 4.17259 | + | 4.43756i | 0.194126 | + | 0.206454i | ||||
\(463\) | −10.6868 | + | 18.5101i | −0.496659 | + | 0.860238i | −0.999993 | − | 0.00385369i | \(-0.998773\pi\) |
0.503334 | + | 0.864092i | \(0.332107\pi\) | |||||||
\(464\) | −0.583357 | − | 1.01040i | −0.0270817 | − | 0.0469068i | ||||
\(465\) | −21.6838 | − | 6.53133i | −1.00556 | − | 0.302883i | ||||
\(466\) | −7.35373 | − | 20.2042i | −0.340655 | − | 0.935941i | ||||
\(467\) | −8.01942 | + | 4.63001i | −0.371094 | + | 0.214251i | −0.673936 | − | 0.738789i | \(-0.735398\pi\) |
0.302842 | + | 0.953041i | \(0.402065\pi\) | |||||||
\(468\) | −3.69339 | + | 15.3541i | −0.170727 | + | 0.709743i | ||||
\(469\) | −7.83459 | − | 1.38145i | −0.361768 | − | 0.0637894i | ||||
\(470\) | 2.45169 | − | 2.05721i | 0.113088 | − | 0.0948919i | ||||
\(471\) | −0.804111 | − | 3.41833i | −0.0370515 | − | 0.157508i | ||||
\(472\) | −1.18606 | − | 6.72648i | −0.0545928 | − | 0.309611i | ||||
\(473\) | 3.09086 | − | 8.49206i | 0.142118 | − | 0.390465i | ||||
\(474\) | −4.53599 | + | 6.07162i | −0.208345 | + | 0.278879i | ||||
\(475\) | −7.03730 | + | 13.0178i | −0.322894 | + | 0.597296i | ||||
\(476\) | 2.89401i | 0.132647i | ||||||||
\(477\) | −1.36494 | + | 22.1554i | −0.0624961 | + | 1.01442i | ||||
\(478\) | −11.9547 | + | 2.10793i | −0.546795 | + | 0.0964147i | ||||
\(479\) | −3.61743 | + | 4.31108i | −0.165284 | + | 0.196978i | −0.842329 | − | 0.538964i | \(-0.818816\pi\) |
0.677045 | + | 0.735942i | \(0.263260\pi\) | |||||||
\(480\) | −0.283400 | − | 5.01044i | −0.0129354 | − | 0.228694i | ||||
\(481\) | 11.0333 | − | 62.5731i | 0.503076 | − | 2.85309i | ||||
\(482\) | 18.8331 | + | 10.8733i | 0.857824 | + | 0.495265i | ||||
\(483\) | 12.9862 | + | 1.53994i | 0.590894 | + | 0.0700697i | ||||
\(484\) | −1.14045 | + | 0.415090i | −0.0518387 | + | 0.0188677i | ||||
\(485\) | −11.7249 | + | 4.26751i | −0.532400 | + | 0.193778i | ||||
\(486\) | −6.87911 | − | 13.9885i | −0.312043 | − | 0.634531i | ||||
\(487\) | 17.7438 | + | 10.2444i | 0.804048 | + | 0.464217i | 0.844885 | − | 0.534948i | \(-0.179669\pi\) |
−0.0408365 | + | 0.999166i | \(0.513002\pi\) | |||||||
\(488\) | −1.26539 | + | 7.17638i | −0.0572815 | + | 0.324859i | ||||
\(489\) | −16.1368 | + | 0.912725i | −0.729730 | + | 0.0412748i | ||||
\(490\) | 10.6833 | − | 12.7318i | 0.482621 | − | 0.575165i | ||||
\(491\) | −32.2309 | + | 5.68317i | −1.45456 | + | 0.256478i | −0.844363 | − | 0.535772i | \(-0.820021\pi\) |
−0.610196 | + | 0.792250i | \(0.708909\pi\) | |||||||
\(492\) | −5.80439 | − | 8.85745i | −0.261682 | − | 0.399325i | ||||
\(493\) | − | 3.00354i | − | 0.135273i | ||||||
\(494\) | 15.2354 | + | 17.1572i | 0.685473 | + | 0.771940i | ||||
\(495\) | −7.71138 | − | 26.0756i | −0.346601 | − | 1.17201i | ||||
\(496\) | 1.54339 | − | 4.24044i | 0.0693004 | − | 0.190401i | ||||
\(497\) | −0.844229 | − | 4.78786i | −0.0378689 | − | 0.214765i | ||||
\(498\) | 24.3575 | − | 5.72973i | 1.09149 | − | 0.256756i | ||||
\(499\) | 15.7157 | − | 13.1871i | 0.703533 | − | 0.590334i | −0.219243 | − | 0.975670i | \(-0.570359\pi\) |
0.922776 | + | 0.385336i | \(0.125914\pi\) | |||||||
\(500\) | 4.57987 | + | 0.807555i | 0.204818 | + | 0.0361150i | ||||
\(501\) | 20.1635 | − | 8.65763i | 0.900838 | − | 0.386794i | ||||
\(502\) | −16.8441 | + | 9.72492i | −0.751787 | + | 0.434044i | ||||
\(503\) | −7.95923 | − | 21.8678i | −0.354885 | − | 0.975037i | −0.980778 | − | 0.195128i | \(-0.937488\pi\) |
0.625893 | − | 0.779909i | \(-0.284735\pi\) | |||||||
\(504\) | 2.00484 | + | 2.71189i | 0.0893025 | + | 0.120797i | ||||
\(505\) | 8.56766 | + | 14.8396i | 0.381256 | + | 0.660354i | ||||
\(506\) | 10.5052 | − | 18.1956i | 0.467014 | − | 0.808892i | ||||
\(507\) | 18.5615 | − | 17.4532i | 0.824345 | − | 0.775122i | ||||
\(508\) | 4.95658 | + | 5.90702i | 0.219913 | + | 0.262082i | ||||
\(509\) | −16.6553 | − | 13.9754i | −0.738232 | − | 0.619450i | 0.194130 | − | 0.980976i | \(-0.437812\pi\) |
−0.932362 | + | 0.361525i | \(0.882256\pi\) | |||||||
\(510\) | 5.81751 | − | 11.5354i | 0.257604 | − | 0.510795i | ||||
\(511\) | −7.95315 | − | 2.89471i | −0.351827 | − | 0.128054i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −22.3899 | − | 3.41950i | −0.988538 | − | 0.150974i | ||||
\(514\) | 10.8399 | 0.478126 | ||||||||
\(515\) | 54.2675 | + | 19.7518i | 2.39131 | + | 0.870367i | ||||
\(516\) | 2.25308 | − | 4.46756i | 0.0991861 | − | 0.196673i | ||||
\(517\) | 2.64708 | + | 2.22116i | 0.116418 | + | 0.0976866i | ||||
\(518\) | −8.72201 | − | 10.3945i | −0.383223 | − | 0.456707i | ||||
\(519\) | −11.8994 | + | 11.1889i | −0.522326 | + | 0.491137i | ||||
\(520\) | −7.62598 | + | 13.2086i | −0.334422 | + | 0.579235i | ||||
\(521\) | −7.53777 | − | 13.0558i | −0.330236 | − | 0.571985i | 0.652322 | − | 0.757942i | \(-0.273795\pi\) |
−0.982558 | + | 0.185957i | \(0.940462\pi\) | |||||||
\(522\) | −2.08072 | − | 2.81453i | −0.0910705 | − | 0.123189i | ||||
\(523\) | 2.38040 | + | 6.54010i | 0.104088 | + | 0.285979i | 0.980794 | − | 0.195048i | \(-0.0624862\pi\) |
−0.876706 | + | 0.481027i | \(0.840264\pi\) | |||||||
\(524\) | −1.91747 | + | 1.10705i | −0.0837649 | + | 0.0483617i | ||||
\(525\) | 6.07407 | − | 2.60803i | 0.265094 | − | 0.113824i | ||||
\(526\) | 30.4663 | + | 5.37204i | 1.32840 | + | 0.234232i | ||||
\(527\) | 8.89914 | − | 7.46727i | 0.387653 | − | 0.325279i | ||||
\(528\) | 5.27443 | − | 1.24073i | 0.229540 | − | 0.0539959i | ||||
\(529\) | −3.83894 | − | 21.7717i | −0.166911 | − | 0.946597i | ||||
\(530\) | −7.33231 | + | 20.1453i | −0.318495 | + | 0.875058i | ||||
\(531\) | −5.81098 | − | 19.6495i | −0.252175 | − | 0.852716i | ||||
\(532\) | 4.89820 | − | 0.137220i | 0.212364 | − | 0.00594923i | ||||
\(533\) | 32.1845i | 1.39407i | ||||||||
\(534\) | −13.0168 | − | 19.8636i | −0.563294 | − | 0.859582i | ||||
\(535\) | 13.6496 | − | 2.40679i | 0.590124 | − | 0.104055i | ||||
\(536\) | −4.54886 | + | 5.42112i | −0.196481 | + | 0.234157i | ||||
\(537\) | −12.9508 | + | 0.732519i | −0.558867 | + | 0.0316105i | ||||
\(538\) | 0.880210 | − | 4.99192i | 0.0379485 | − | 0.215217i | ||||
\(539\) | 15.5407 | + | 8.97240i | 0.669384 | + | 0.386469i | ||||
\(540\) | −2.53975 | − | 14.8396i | −0.109293 | − | 0.638593i | ||||
\(541\) | −4.63626 | + | 1.68746i | −0.199328 | + | 0.0725495i | −0.439755 | − | 0.898118i | \(-0.644935\pi\) |
0.240427 | + | 0.970667i | \(0.422713\pi\) | |||||||
\(542\) | −4.92489 | + | 1.79251i | −0.211542 | + | 0.0769950i | ||||
\(543\) | 27.4744 | + | 3.25799i | 1.17904 | + | 0.139814i | ||||
\(544\) | 2.22946 | + | 1.28718i | 0.0955874 | + | 0.0551874i | ||||
\(545\) | 4.32762 | − | 24.5432i | 0.185375 | − | 1.05131i | ||||
\(546\) | −0.578813 | − | 10.2333i | −0.0247709 | − | 0.437944i | ||||
\(547\) | 9.08478 | − | 10.8268i | 0.388437 | − | 0.462922i | −0.536021 | − | 0.844205i | \(-0.680073\pi\) |
0.924458 | + | 0.381283i | \(0.124518\pi\) | |||||||
\(548\) | 0.212573 | − | 0.0374824i | 0.00908067 | − | 0.00160117i | ||||
\(549\) | −1.34427 | + | 21.8199i | −0.0573720 | + | 0.931250i | ||||
\(550\) | − | 10.6204i | − | 0.452856i | ||||||
\(551\) | −5.08359 | + | 0.142413i | −0.216568 | + | 0.00606701i | ||||
\(552\) | 6.96228 | − | 9.31931i | 0.296334 | − | 0.396656i | ||||
\(553\) | 1.68239 | − | 4.62234i | 0.0715426 | − | 0.196562i | ||||
\(554\) | −0.749038 | − | 4.24801i | −0.0318236 | − | 0.180481i | ||||
\(555\) | 13.8706 | + | 58.9648i | 0.588773 | + | 2.50292i | ||||
\(556\) | 14.3679 | − | 12.0561i | 0.609336 | − | 0.511294i | ||||
\(557\) | 0.424076 | + | 0.0747760i | 0.0179687 | + | 0.00316836i | 0.182625 | − | 0.983183i | \(-0.441540\pi\) |
−0.164657 | + | 0.986351i | \(0.552652\pi\) | |||||||
\(558\) | 3.16615 | − | 13.1623i | 0.134034 | − | 0.557204i | ||||
\(559\) | −13.1694 | + | 7.60334i | −0.557005 | + | 0.321587i | ||||
\(560\) | 1.11401 | + | 3.06073i | 0.0470757 | + | 0.129339i | ||||
\(561\) | 13.3562 | + | 4.02299i | 0.563899 | + | 0.169851i | ||||
\(562\) | 5.50754 | + | 9.53934i | 0.232322 | + | 0.402393i | ||||
\(563\) | −2.44919 | + | 4.24212i | −0.103221 | + | 0.178784i | −0.913010 | − | 0.407937i | \(-0.866248\pi\) |
0.809789 | + | 0.586721i | \(0.199582\pi\) | |||||||
\(564\) | 1.31059 | + | 1.39382i | 0.0551858 | + | 0.0586903i | ||||
\(565\) | 30.1093 | + | 35.8829i | 1.26671 | + | 1.50961i | ||||
\(566\) | 3.02654 | + | 2.53957i | 0.127215 | + | 0.106746i | ||||
\(567\) | 6.89355 | + | 7.40557i | 0.289502 | + | 0.311005i | ||||
\(568\) | −4.06393 | − | 1.47915i | −0.170519 | − | 0.0620637i | ||||
\(569\) | 9.33523 | 0.391353 | 0.195677 | − | 0.980668i | \(-0.437310\pi\) | ||||
0.195677 | + | 0.980668i | \(0.437310\pi\) | |||||||
\(570\) | −19.7998 | − | 9.29937i | −0.829323 | − | 0.389508i | ||||
\(571\) | 23.4478 | 0.981260 | 0.490630 | − | 0.871368i | \(-0.336767\pi\) | ||||
0.490630 | + | 0.871368i | \(0.336767\pi\) | |||||||
\(572\) | −15.4744 | − | 5.63222i | −0.647017 | − | 0.235495i | ||||
\(573\) | −11.7806 | − | 5.94117i | −0.492141 | − | 0.248196i | ||||
\(574\) | 5.26519 | + | 4.41802i | 0.219765 | + | 0.184405i | ||||
\(575\) | −14.6563 | − | 17.4667i | −0.611209 | − | 0.728410i | ||||
\(576\) | 2.98087 | − | 0.338289i | 0.124203 | − | 0.0140954i | ||||
\(577\) | −1.23938 | + | 2.14667i | −0.0515960 | + | 0.0893669i | −0.890670 | − | 0.454651i | \(-0.849764\pi\) |
0.839074 | + | 0.544017i | \(0.183097\pi\) | |||||||
\(578\) | −5.18633 | − | 8.98299i | −0.215723 | − | 0.373643i | ||||
\(579\) | 5.99417 | − | 19.9005i | 0.249109 | − | 0.827036i | ||||
\(580\) | −1.15618 | − | 3.17657i | −0.0480076 | − | 0.131900i | ||||
\(581\) | −14.0646 | + | 8.12021i | −0.583499 | + | 0.336883i | ||||
\(582\) | −2.94284 | − | 6.85382i | −0.121984 | − | 0.284100i | ||||
\(583\) | −22.7951 | − | 4.01940i | −0.944078 | − | 0.166466i | ||||
\(584\) | −5.76736 | + | 4.83939i | −0.238655 | + | 0.200255i | ||||
\(585\) | −18.2637 | + | 41.9528i | −0.755112 | + | 1.73454i | ||||
\(586\) | 3.49793 | + | 19.8377i | 0.144498 | + | 0.819489i | ||||
\(587\) | −13.2139 | + | 36.3050i | −0.545398 | + | 1.49847i | 0.294462 | + | 0.955663i | \(0.404860\pi\) |
−0.839859 | + | 0.542804i | \(0.817363\pi\) | |||||||
\(588\) | 7.95952 | + | 5.94641i | 0.328245 | + | 0.245226i | ||||
\(589\) | −13.0605 | − | 14.7080i | −0.538150 | − | 0.606034i | ||||
\(590\) | − | 19.7900i | − | 0.814740i | ||||||
\(591\) | 25.5301 | − | 16.7302i | 1.05017 | − | 0.688188i | ||||
\(592\) | −11.8869 | + | 2.09599i | −0.488551 | + | 0.0861446i | ||||
\(593\) | 2.81505 | − | 3.35484i | 0.115600 | − | 0.137767i | −0.705141 | − | 0.709067i | \(-0.749116\pi\) |
0.820741 | + | 0.571300i | \(0.193561\pi\) | |||||||
\(594\) | 15.3027 | − | 5.48273i | 0.627876 | − | 0.224959i | ||||
\(595\) | −1.45606 | + | 8.25771i | −0.0596925 | + | 0.338533i | ||||
\(596\) | 3.68102 | + | 2.12524i | 0.150781 | + | 0.0870532i | ||||
\(597\) | −0.461622 | + | 3.89284i | −0.0188929 | + | 0.159323i | ||||
\(598\) | −33.2222 | + | 12.0919i | −1.35856 | + | 0.494474i | ||||
\(599\) | 40.2689 | − | 14.6567i | 1.64534 | − | 0.598855i | 0.657380 | − | 0.753559i | \(-0.271665\pi\) |
0.987961 | + | 0.154704i | \(0.0494423\pi\) | |||||||
\(600\) | 0.692437 | − | 5.83928i | 0.0282686 | − | 0.238388i | ||||
\(601\) | −24.0390 | − | 13.8789i | −0.980571 | − | 0.566133i | −0.0781288 | − | 0.996943i | \(-0.524895\pi\) |
−0.902443 | + | 0.430810i | \(0.858228\pi\) | |||||||
\(602\) | −0.563920 | + | 3.19815i | −0.0229836 | + | 0.130347i | ||||
\(603\) | −11.7256 | + | 17.6985i | −0.477505 | + | 0.720737i | ||||
\(604\) | −5.74742 | + | 6.84951i | −0.233859 | + | 0.278702i | ||||
\(605\) | −3.46299 | + | 0.610618i | −0.140791 | + | 0.0248252i | ||||
\(606\) | −8.56766 | + | 5.61449i | −0.348037 | + | 0.228073i | ||||
\(607\) | − | 16.1090i | − | 0.653844i | −0.945051 | − | 0.326922i | \(-0.893989\pi\) | ||
0.945051 | − | 0.326922i | \(-0.106011\pi\) | |||||||
\(608\) | 2.07288 | − | 3.83447i | 0.0840666 | − | 0.155508i | ||||
\(609\) | 1.81992 | + | 1.35963i | 0.0737470 | + | 0.0550950i | ||||
\(610\) | −7.22128 | + | 19.8403i | −0.292381 | + | 0.803311i | ||||
\(611\) | −1.00969 | − | 5.72626i | −0.0408478 | − | 0.231660i | ||||
\(612\) | 7.08117 | + | 3.08271i | 0.286239 | + | 0.124611i | ||||
\(613\) | 17.2068 | − | 14.4382i | 0.694975 | − | 0.583154i | −0.225364 | − | 0.974275i | \(-0.572357\pi\) |
0.920339 | + | 0.391121i | \(0.127913\pi\) | |||||||
\(614\) | 6.45677 | + | 1.13850i | 0.260574 | + | 0.0459463i | ||||
\(615\) | −12.1057 | − | 28.1940i | −0.488150 | − | 1.13689i | ||||
\(616\) | −3.04559 | + | 1.75837i | −0.122710 | + | 0.0708468i | ||||
\(617\) | −15.8059 | − | 43.4264i | −0.636322 | − | 1.74828i | −0.662982 | − | 0.748636i | \(-0.730709\pi\) |
0.0266596 | − | 0.999645i | \(-0.491513\pi\) | |||||||
\(618\) | −9.95667 | + | 33.0559i | −0.400516 | + | 1.32970i | ||||
\(619\) | −20.8534 | − | 36.1192i | −0.838170 | − | 1.45175i | −0.891423 | − | 0.453172i | \(-0.850292\pi\) |
0.0532532 | − | 0.998581i | \(-0.483041\pi\) | |||||||
\(620\) | 6.53737 | − | 11.3231i | 0.262547 | − | 0.454745i | ||||
\(621\) | 17.6010 | − | 30.1349i | 0.706303 | − | 1.20927i | ||||
\(622\) | −1.38553 | − | 1.65121i | −0.0555547 | − | 0.0662076i | ||||
\(623\) | 11.8076 | + | 9.90779i | 0.473063 | + | 0.396947i | ||||
\(624\) | −8.14087 | − | 4.10560i | −0.325895 | − | 0.164355i | ||||
\(625\) | 28.6128 | + | 10.4142i | 1.14451 | + | 0.416568i | ||||
\(626\) | −16.9317 | −0.676727 | ||||||||
\(627\) | 6.17575 | − | 22.7965i | 0.246636 | − | 0.910406i | ||||
\(628\) | 2.02744 | 0.0809038 | ||||||||
\(629\) | −29.1994 | − | 10.6277i | −1.16426 | − | 0.423755i | ||||
\(630\) | 4.35613 | + | 8.74676i | 0.173553 | + | 0.348479i | ||||
\(631\) | −3.34686 | − | 2.80835i | −0.133236 | − | 0.111799i | 0.573734 | − | 0.819042i | \(-0.305494\pi\) |
−0.706971 | + | 0.707243i | \(0.749939\pi\) | |||||||
\(632\) | −2.81263 | − | 3.35197i | −0.111881 | − | 0.133334i | ||||
\(633\) | 4.56932 | + | 4.85948i | 0.181614 | + | 0.193147i | ||||
\(634\) | −2.76853 | + | 4.79523i | −0.109952 | + | 0.190443i | ||||
\(635\) | 11.1710 | + | 19.3488i | 0.443309 | + | 0.767834i | ||||
\(636\) | −12.2711 | − | 3.69614i | −0.486580 | − | 0.146562i | ||||
\(637\) | −10.3275 | − | 28.3747i | −0.409192 | − | 1.12425i | ||||
\(638\) | 3.16086 | − | 1.82492i | 0.125140 | − | 0.0722494i | ||||
\(639\) | −12.6144 | − | 3.03436i | −0.499018 | − | 0.120038i | ||||
\(640\) | 2.85338 | + | 0.503128i | 0.112790 | + | 0.0198879i | ||||
\(641\) | 2.18494 | − | 1.83339i | 0.0863001 | − | 0.0724144i | −0.598617 | − | 0.801035i | \(-0.704283\pi\) |
0.684917 | + | 0.728621i | \(0.259838\pi\) | |||||||
\(642\) | 1.89726 | + | 8.06539i | 0.0748789 | + | 0.318316i | ||||
\(643\) | 7.65253 | + | 43.3997i | 0.301786 | + | 1.71152i | 0.638258 | + | 0.769823i | \(0.279655\pi\) |
−0.336471 | + | 0.941694i | \(0.609234\pi\) | |||||||
\(644\) | −2.58230 | + | 7.09481i | −0.101757 | + | 0.279575i | ||||
\(645\) | 8.67664 | − | 11.6141i | 0.341643 | − | 0.457303i | ||||
\(646\) | 9.55707 | − | 5.88063i | 0.376018 | − | 0.231370i | ||||
\(647\) | − | 20.3269i | − | 0.799131i | −0.916705 | − | 0.399566i | \(-0.869161\pi\) | ||
0.916705 | − | 0.399566i | \(-0.130839\pi\) | |||||||
\(648\) | 8.77112 | − | 2.01679i | 0.344562 | − | 0.0792269i | ||||
\(649\) | 21.0426 | − | 3.71037i | 0.825992 | − | 0.145645i | ||||
\(650\) | −11.4872 | + | 13.6900i | −0.450567 | + | 0.536965i | ||||
\(651\) | 0.496187 | + | 8.77247i | 0.0194471 | + | 0.343820i | ||||
\(652\) | 1.62039 | − | 9.18969i | 0.0634594 | − | 0.359896i | ||||
\(653\) | 35.1702 | + | 20.3055i | 1.37632 | + | 0.794617i | 0.991714 | − | 0.128465i | \(-0.0410051\pi\) |
0.384603 | + | 0.923082i | \(0.374338\pi\) | |||||||
\(654\) | 14.7945 | + | 1.75436i | 0.578509 | + | 0.0686010i | ||||
\(655\) | −6.02826 | + | 2.19411i | −0.235543 | + | 0.0857308i | ||||
\(656\) | 5.74534 | − | 2.09113i | 0.224318 | − | 0.0816450i | ||||
\(657\) | −15.5546 | + | 16.3766i | −0.606843 | + | 0.638912i | ||||
\(658\) | −1.07538 | − | 0.620872i | −0.0419228 | − | 0.0242041i | ||||
\(659\) | −6.33474 | + | 35.9261i | −0.246766 | + | 1.39948i | 0.569588 | + | 0.821930i | \(0.307103\pi\) |
−0.816354 | + | 0.577552i | \(0.804008\pi\) | |||||||
\(660\) | 15.6742 | − | 0.886563i | 0.610118 | − | 0.0345094i | ||||
\(661\) | −2.71797 | + | 3.23916i | −0.105717 | + | 0.125989i | −0.816308 | − | 0.577616i | \(-0.803983\pi\) |
0.710591 | + | 0.703605i | \(0.248427\pi\) | |||||||
\(662\) | 7.59082 | − | 1.33847i | 0.295026 | − | 0.0520210i | ||||
\(663\) | −12.8651 | − | 19.6320i | −0.499640 | − | 0.762445i | ||||
\(664\) | 14.4467i | 0.560639i | ||||||||
\(665\) | 14.0455 | + | 2.07288i | 0.544660 | + | 0.0803830i | ||||
\(666\) | −34.7243 | + | 10.2691i | −1.34554 | + | 0.397919i | ||||
\(667\) | 2.68004 | − | 7.36334i | 0.103771 | − | 0.285110i | ||||
\(668\) | 2.19997 | + | 12.4767i | 0.0851195 | + | 0.482737i | ||||
\(669\) | −9.38565 | + | 2.20783i | −0.362870 | + | 0.0853598i | ||||
\(670\) | −15.7072 | + | 13.1799i | −0.606820 | + | 0.509183i | ||||
\(671\) | −22.4500 | − | 3.95854i | −0.866672 | − | 0.152818i | ||||
\(672\) | −1.78916 | + | 0.768214i | −0.0690183 | + | 0.0296345i | ||||
\(673\) | 22.4627 | − | 12.9688i | 0.865874 | − | 0.499912i | −0.000101249 | − | 1.00000i | \(-0.500032\pi\) |
0.865975 | + | 0.500088i | \(0.166699\pi\) | |||||||
\(674\) | −4.33224 | − | 11.9027i | −0.166872 | − | 0.458476i | ||||
\(675\) | 0.0886972 | − | 17.6404i | 0.00341396 | − | 0.678978i | ||||
\(676\) | 7.35494 | + | 12.7391i | 0.282882 | + | 0.489966i | ||||
\(677\) | −16.1874 | + | 28.0374i | −0.622132 | + | 1.07756i | 0.366956 | + | 0.930238i | \(0.380400\pi\) |
−0.989088 | + | 0.147326i | \(0.952934\pi\) | |||||||
\(678\) | −20.3999 | + | 19.1818i | −0.783455 | + | 0.736673i | ||||
\(679\) | 3.11180 | + | 3.70850i | 0.119420 | + | 0.142319i | ||||
\(680\) | 5.71389 | + | 4.79453i | 0.219118 | + | 0.183862i | ||||
\(681\) | −19.3220 | + | 38.3130i | −0.740420 | + | 1.46816i | ||||
\(682\) | 13.2654 | + | 4.82822i | 0.507959 | + | 0.184882i | ||||
\(683\) | −12.5635 | −0.480728 | −0.240364 | − | 0.970683i | \(-0.577267\pi\) | ||||
−0.240364 | + | 0.970683i | \(0.577267\pi\) | |||||||
\(684\) | 4.88183 | − | 12.1313i | 0.186662 | − | 0.463851i | ||||
\(685\) | 0.625411 | 0.0238957 | ||||||||
\(686\) | −13.4542 | − | 4.89693i | −0.513683 | − | 0.186965i | ||||
\(687\) | −19.3383 | + | 38.3454i | −0.737802 | + | 1.46297i | ||||
\(688\) | 2.21295 | + | 1.85688i | 0.0843678 | + | 0.0707930i | ||||
\(689\) | 25.0360 | + | 29.8367i | 0.953796 | + | 1.13669i | ||||
\(690\) | 24.5548 | − | 23.0886i | 0.934787 | − | 0.878970i | ||||
\(691\) | −7.86815 | + | 13.6280i | −0.299319 | + | 0.518435i | −0.975980 | − | 0.217859i | \(-0.930093\pi\) |
0.676662 | + | 0.736294i | \(0.263426\pi\) | |||||||
\(692\) | −4.71511 | − | 8.16680i | −0.179241 | − | 0.310455i | ||||
\(693\) | −8.48365 | + | 6.27176i | −0.322267 | + | 0.238244i | ||||
\(694\) | 1.55978 | + | 4.28546i | 0.0592084 | + | 0.162674i | ||||
\(695\) | 47.0630 | − | 27.1719i | 1.78520 | − | 1.03069i | ||||
\(696\) | 1.85688 | − | 0.797290i | 0.0703847 | − | 0.0302212i | ||||
\(697\) | 15.5007 | + | 2.73319i | 0.587130 | + | 0.103527i | ||||
\(698\) | −1.24085 | + | 1.04120i | −0.0469668 | + | 0.0394098i | ||||
\(699\) | 36.2511 | − | 8.52752i | 1.37114 | − | 0.322541i | ||||
\(700\) | 0.662722 | + | 3.75848i | 0.0250485 | + | 0.142057i | ||||
\(701\) | 10.8602 | − | 29.8381i | 0.410183 | − | 1.12697i | −0.546911 | − | 0.837191i | \(-0.684197\pi\) |
0.957094 | − | 0.289777i | \(-0.0935812\pi\) | |||||||
\(702\) | −25.6557 | − | 9.48427i | −0.968312 | − | 0.357961i | ||||
\(703\) | −16.6033 | + | 49.9249i | −0.626204 | + | 1.88295i | ||||
\(704\) | 3.12832i | 0.117903i | ||||||||
\(705\) | 3.03835 | + | 4.63649i | 0.114431 | + | 0.174620i | ||||
\(706\) | −6.73822 | + | 1.18813i | −0.253596 | + | 0.0447159i | ||||
\(707\) | 4.27347 | − | 5.09293i | 0.160721 | − | 0.191539i | ||||
\(708\) | 11.8115 | − | 0.668078i | 0.443902 | − | 0.0251079i | ||||
\(709\) | 6.11366 | − | 34.6723i | 0.229603 | − | 1.30214i | −0.624084 | − | 0.781358i | \(-0.714528\pi\) |
0.853687 | − | 0.520787i | \(-0.174361\pi\) | |||||||
\(710\) | −10.8517 | − | 6.26526i | −0.407259 | − | 0.235131i | ||||
\(711\) | −9.51801 | − | 9.04028i | −0.356953 | − | 0.339037i | ||||
\(712\) | 12.8844 | − | 4.68955i | 0.482864 | − | 0.175748i | ||||
\(713\) | 28.4797 | − | 10.3658i | 1.06657 | − | 0.388201i | ||||
\(714\) | −4.97769 | − | 0.590267i | −0.186285 | − | 0.0220902i | ||||
\(715\) | −41.3206 | − | 23.8565i | −1.54530 | − | 0.892182i | ||||
\(716\) | 1.30046 | − | 7.37530i | 0.0486007 | − | 0.275628i | ||||
\(717\) | −1.18735 | − | 20.9920i | −0.0443422 | − | 0.783961i | ||||
\(718\) | −2.62784 | + | 3.13174i | −0.0980701 | + | 0.116875i | ||||
\(719\) | −14.7056 | + | 2.59299i | −0.548426 | + | 0.0967023i | −0.440994 | − | 0.897510i | \(-0.645374\pi\) |
−0.107432 | + | 0.994212i | \(0.534263\pi\) | |||||||
\(720\) | 8.67575 | + | 0.534491i | 0.323326 | + | 0.0199193i | ||||
\(721\) | − | 22.4066i | − | 0.834465i | ||||||
\(722\) | −10.4063 | − | 15.8968i | −0.387282 | − | 0.591618i | ||||
\(723\) | −22.5433 | + | 30.1752i | −0.838394 | + | 1.12223i | ||||
\(724\) | −5.46326 | + | 15.0102i | −0.203041 | + | 0.557850i | ||||
\(725\) | −0.687805 | − | 3.90074i | −0.0255444 | − | 0.144870i | ||||
\(726\) | −0.481347 | − | 2.04624i | −0.0178645 | − | 0.0759431i | ||||
\(727\) | −22.7799 | + | 19.1146i | −0.844860 | + | 0.708922i | −0.958651 | − | 0.284583i | \(-0.908145\pi\) |
0.113791 | + | 0.993505i | \(0.463700\pi\) | |||||||
\(728\) | 5.82772 | + | 1.02758i | 0.215990 | + | 0.0380848i | ||||
\(729\) | 25.4633 | − | 8.97894i | 0.943084 | − | 0.332553i | ||||
\(730\) | −18.8913 | + | 10.9069i | −0.699199 | + | 0.403683i | ||||
\(731\) | 2.54354 | + | 6.98831i | 0.0940761 | + | 0.258472i | ||||
\(732\) | −12.0853 | − | 3.64018i | −0.446685 | − | 0.134545i | ||||
\(733\) | 1.63062 | + | 2.82432i | 0.0602284 | + | 0.104319i | 0.894567 | − | 0.446933i | \(-0.147484\pi\) |
−0.834339 | + | 0.551252i | \(0.814150\pi\) | |||||||
\(734\) | 4.94942 | − | 8.57264i | 0.182686 | − | 0.316422i | ||||
\(735\) | 19.7198 | + | 20.9720i | 0.727375 | + | 0.773565i | ||||
\(736\) | 4.31710 | + | 5.14492i | 0.159131 | + | 0.189644i | ||||
\(737\) | −16.9590 | − | 14.2303i | −0.624692 | − | 0.524178i | ||||
\(738\) | 16.4187 | − | 8.17697i | 0.604380 | − | 0.300998i | ||||
\(739\) | −5.54154 | − | 2.01696i | −0.203849 | − | 0.0741950i | 0.238078 | − | 0.971246i | \(-0.423483\pi\) |
−0.441927 | + | 0.897051i | \(0.645705\pi\) | |||||||
\(740\) | −34.9726 | −1.28562 | ||||||||
\(741\) | −32.6179 | + | 22.7055i | −1.19825 | + | 0.834106i | ||||
\(742\) | 8.31784 | 0.305357 | ||||||||
\(743\) | −27.7676 | − | 10.1066i | −1.01870 | − | 0.370775i | −0.221930 | − | 0.975063i | \(-0.571236\pi\) |
−0.796766 | + | 0.604288i | \(0.793458\pi\) | |||||||
\(744\) | 6.97876 | + | 3.51952i | 0.255854 | + | 0.129032i | ||||
\(745\) | 9.43410 | + | 7.91615i | 0.345639 | + | 0.290025i | ||||
\(746\) | −5.12636 | − | 6.10936i | −0.187689 | − | 0.223680i | ||||
\(747\) | 4.88714 | + | 43.0635i | 0.178811 | + | 1.57561i | ||||
\(748\) | −4.02671 | + | 6.97446i | −0.147231 | + | 0.255012i | ||||
\(749\) | −2.68881 | − | 4.65716i | −0.0982470 | − | 0.170169i | ||||
\(750\) | −2.32311 | + | 7.71267i | −0.0848281 | + | 0.281627i | ||||
\(751\) | −6.20481 | − | 17.0476i | −0.226417 | − | 0.622074i | 0.773515 | − | 0.633778i | \(-0.218497\pi\) |
−0.999932 | + | 0.0117037i | \(0.996275\pi\) | |||||||
\(752\) | −0.956605 | + | 0.552296i | −0.0348838 | + | 0.0201402i | ||||
\(753\) | −13.2913 | − | 30.9553i | −0.484363 | − | 1.12807i | ||||
\(754\) | −6.04829 | − | 1.06648i | −0.220266 | − | 0.0388388i | ||||
\(755\) | −19.8458 | + | 16.6526i | −0.722261 | + | 0.606049i | ||||
\(756\) | −5.07336 | + | 2.89519i | −0.184516 | + | 0.105297i | ||||
\(757\) | −3.70068 | − | 20.9876i | −0.134504 | − | 0.762807i | −0.975204 | − | 0.221307i | \(-0.928968\pi\) |
0.840701 | − | 0.541500i | \(-0.182143\pi\) | |||||||
\(758\) | 3.67639 | − | 10.1008i | 0.133532 | − | 0.366877i | ||||
\(759\) | 29.1537 | + | 21.7802i | 1.05821 | + | 0.790571i | ||||
\(760\) | 7.84396 | − | 9.89828i | 0.284530 | − | 0.359048i | ||||
\(761\) | 29.1728i | 1.05751i | 0.848774 | + | 0.528757i | \(0.177342\pi\) | ||||
−0.848774 | + | 0.528757i | \(0.822658\pi\) | |||||||
\(762\) | −11.1710 | + | 7.32051i | −0.404684 | + | 0.265194i | ||||
\(763\) | −9.52252 | + | 1.67908i | −0.344739 | + | 0.0607867i | ||||
\(764\) | 4.89644 | − | 5.83535i | 0.177147 | − | 0.211116i | ||||
\(765\) | 18.6543 | + | 12.3589i | 0.674447 | + | 0.446837i | ||||
\(766\) | 0.913805 | − | 5.18245i | 0.0330171 | − | 0.187249i | ||||
\(767\) | −31.1375 | − | 17.9773i | −1.12431 | − | 0.649122i | ||||
\(768\) | −0.203962 | + | 1.72000i | −0.00735984 | + | 0.0620651i | ||||
\(769\) | −25.9596 | + | 9.44854i | −0.936129 | + | 0.340723i | −0.764636 | − | 0.644462i | \(-0.777081\pi\) |
−0.171493 | + | 0.985185i | \(0.554859\pi\) | |||||||
\(770\) | −9.57492 | + | 3.48499i | −0.345056 | + | 0.125590i | ||||
\(771\) | −2.21092 | + | 18.6446i | −0.0796244 | + | 0.671468i | ||||
\(772\) | 10.3918 | + | 5.99972i | 0.374010 | + | 0.215935i | ||||
\(773\) | 7.60654 | − | 43.1388i | 0.273588 | − | 1.55160i | −0.469823 | − | 0.882761i | \(-0.655682\pi\) |
0.743411 | − | 0.668835i | \(-0.233207\pi\) | |||||||
\(774\) | 7.22466 | + | 4.78650i | 0.259685 | + | 0.172047i | ||||
\(775\) | 9.84744 | − | 11.7357i | 0.353731 | − | 0.421560i | ||||
\(776\) | 4.24097 | − | 0.747798i | 0.152242 | − | 0.0268444i | ||||
\(777\) | 19.6575 | − | 12.8818i | 0.705208 | − | 0.462131i | ||||
\(778\) | − | 15.8820i | − | 0.569396i | ||||||
\(779\) | 3.89104 | − | 26.3650i | 0.139411 | − | 0.944624i | ||||
\(780\) | −21.1634 | − | 15.8107i | −0.757770 | − | 0.566115i | ||||
\(781\) | 4.62724 | − | 12.7132i | 0.165576 | − | 0.454916i | ||||
\(782\) | 3.00237 | + | 17.0273i | 0.107365 | + | 0.608895i | ||||
\(783\) | 5.26538 | − | 3.00477i | 0.188169 | − | 0.107382i | ||||
\(784\) | −4.39422 | + | 3.68719i | −0.156937 | + | 0.131685i | ||||
\(785\) | 5.78507 | + | 1.02006i | 0.206478 | + | 0.0364077i | ||||
\(786\) | −1.51304 | − | 3.52384i | −0.0539682 | − | 0.125691i | ||||
\(787\) | 31.9379 | − | 18.4393i | 1.13846 | − | 0.657291i | 0.192412 | − | 0.981314i | \(-0.438369\pi\) |
0.946049 | + | 0.324023i | \(0.105036\pi\) | |||||||
\(788\) | 6.02735 | + | 16.5600i | 0.214715 | + | 0.589925i | ||||
\(789\) | −15.4539 | + | 51.3064i | −0.550172 | + | 1.82656i | ||||
\(790\) | −6.33905 | − | 10.9796i | −0.225533 | − | 0.390635i | ||||
\(791\) | 9.08710 | − | 15.7393i | 0.323100 | − | 0.559626i | ||||
\(792\) | 1.05827 | + | 9.32509i | 0.0376041 | + | 0.331353i | ||||
\(793\) | 24.6569 | + | 29.3850i | 0.875593 | + | 1.04349i | ||||
\(794\) | 27.4398 | + | 23.0247i | 0.973802 | + | 0.817117i | ||||
\(795\) | −33.1545 | − | 16.7204i | −1.17587 | − | 0.593013i | ||||
\(796\) | −2.12679 | − | 0.774087i | −0.0753819 | − | 0.0274368i | ||||
\(797\) | 47.4368 | 1.68030 | 0.840148 | − | 0.542357i | \(-0.182468\pi\) | ||||
0.840148 | + | 0.542357i | \(0.182468\pi\) | |||||||
\(798\) | −0.763028 | + | 8.45289i | −0.0270109 | + | 0.299229i | ||||
\(799\) | −2.84362 | −0.100600 | ||||||||
\(800\) | 3.19019 | + | 1.16114i | 0.112790 | + | 0.0410523i | ||||
\(801\) | 36.8203 | − | 18.3376i | 1.30098 | − | 0.647926i | ||||
\(802\) | −4.54530 | − | 3.81396i | −0.160500 | − | 0.134676i | ||||
\(803\) | −15.1391 | − | 18.0421i | −0.534249 | − | 0.636693i | ||||
\(804\) | −8.39653 | − | 8.92974i | −0.296123 | − | 0.314928i | ||||
\(805\) | −10.9379 | + | 18.9450i | −0.385510 | + | 0.667723i | ||||
\(806\) | −11.8771 | − | 20.5718i | −0.418355 | − | 0.724611i | ||||
\(807\) | 8.40657 | + | 2.53212i | 0.295925 | + | 0.0891349i | ||||
\(808\) | −2.02272 | − | 5.55737i | −0.0711589 | − | 0.195508i | ||||
\(809\) | −46.6699 | + | 26.9449i | −1.64083 | + | 0.947331i | −0.660286 | + | 0.751015i | \(0.729565\pi\) |
−0.980540 | + | 0.196317i | \(0.937102\pi\) | |||||||
\(810\) | 26.0421 | − | 1.34166i | 0.915025 | − | 0.0471413i | ||||
\(811\) | 5.26849 | + | 0.928977i | 0.185002 | + | 0.0326208i | 0.265381 | − | 0.964144i | \(-0.414502\pi\) |
−0.0803796 | + | 0.996764i | \(0.525613\pi\) | |||||||
\(812\) | −1.00473 | + | 0.843066i | −0.0352590 | + | 0.0295858i | ||||
\(813\) | −2.07863 | − | 8.83641i | −0.0729008 | − | 0.309906i | ||||
\(814\) | −6.55692 | − | 37.1861i | −0.229820 | − | 1.30337i | ||||
\(815\) | 9.24719 | − | 25.4064i | 0.323915 | − | 0.889949i | ||||
\(816\) | −2.66868 | + | 3.57214i | −0.0934224 | + | 0.125050i | ||||
\(817\) | 11.7073 | − | 4.63637i | 0.409588 | − | 0.162206i | ||||
\(818\) | − | 26.5106i | − | 0.926921i | ||||||
\(819\) | 17.7193 | + | 1.09164i | 0.619162 | + | 0.0381450i | ||||
\(820\) | 17.4458 | − | 3.07616i | 0.609233 | − | 0.107424i | ||||
\(821\) | −14.7984 | + | 17.6360i | −0.516468 | + | 0.615502i | −0.959742 | − | 0.280884i | \(-0.909372\pi\) |
0.443274 | + | 0.896386i | \(0.353817\pi\) | |||||||
\(822\) | 0.0211129 | + | 0.373271i | 0.000736396 | + | 0.0130193i | ||||
\(823\) | 1.89577 | − | 10.7514i | 0.0660824 | − | 0.374772i | −0.933775 | − | 0.357862i | \(-0.883506\pi\) |
0.999857 | − | 0.0169103i | \(-0.00538296\pi\) | |||||||
\(824\) | −17.2614 | − | 9.96588i | −0.601330 | − | 0.347178i | ||||
\(825\) | 18.2671 | + | 2.16616i | 0.635979 | + | 0.0754160i | ||||
\(826\) | −7.21527 | + | 2.62614i | −0.251051 | + | 0.0913752i | ||||
\(827\) | 0.866657 | − | 0.315437i | 0.0301366 | − | 0.0109688i | −0.326908 | − | 0.945056i | \(-0.606007\pi\) |
0.357044 | + | 0.934087i | \(0.383784\pi\) | |||||||
\(828\) | 14.6092 | + | 13.8759i | 0.507704 | + | 0.482221i | ||||
\(829\) | 36.7431 | + | 21.2136i | 1.27614 | + | 0.736780i | 0.976137 | − | 0.217158i | \(-0.0696786\pi\) |
0.300004 | + | 0.953938i | \(0.403012\pi\) | |||||||
\(830\) | −7.26852 | + | 41.2218i | −0.252294 | + | 1.43083i | ||||
\(831\) | 7.45935 | − | 0.421914i | 0.258762 | − | 0.0146360i | ||||
\(832\) | 3.38365 | − | 4.03247i | 0.117307 | − | 0.139801i | ||||
\(833\) | −14.5428 | + | 2.56430i | −0.503880 | + | 0.0888476i | ||||
\(834\) | 17.8060 | + | 27.1719i | 0.616573 | + | 0.940884i | ||||
\(835\) | 36.7076i | 1.27032i | ||||||||
\(836\) | 11.9954 | + | 6.48464i | 0.414871 | + | 0.224276i | ||||
\(837\) | 21.9934 | + | 8.13039i | 0.760201 | + | 0.281027i | ||||
\(838\) | −2.80984 | + | 7.71998i | −0.0970644 | + | 0.266682i | ||||
\(839\) | −2.73490 | − | 15.5104i | −0.0944194 | − | 0.535479i | −0.994924 | − | 0.100632i | \(-0.967914\pi\) |
0.900504 | − | 0.434847i | \(-0.143198\pi\) | |||||||
\(840\) | −5.49167 | + | 1.29183i | −0.189480 | + | 0.0445724i | ||||
\(841\) | −21.1725 | + | 17.7659i | −0.730087 | + | 0.612616i | ||||
\(842\) | 16.5911 | + | 2.92547i | 0.571769 | + | 0.100818i | ||||
\(843\) | −17.5310 | + | 7.52731i | −0.603799 | + | 0.259254i | ||||
\(844\) | −3.33516 | + | 1.92556i | −0.114801 | + | 0.0662804i | ||||
\(845\) | 14.5770 | + | 40.0501i | 0.501465 | + | 1.37776i | ||||
\(846\) | −2.66468 | + | 1.96993i | −0.0916135 | + | 0.0677276i | ||||
\(847\) | 0.682168 | + | 1.18155i | 0.0234396 | + | 0.0405985i | ||||
\(848\) | 3.69956 | − | 6.40783i | 0.127043 | − | 0.220046i | ||||
\(849\) | −4.98536 | + | 4.68768i | −0.171097 | + | 0.160881i | ||||
\(850\) | 5.61783 | + | 6.69506i | 0.192690 | + | 0.229639i | ||||
\(851\) | −62.1009 | − | 52.1088i | −2.12879 | − | 1.78627i | ||||
\(852\) | 3.37302 | − | 6.68827i | 0.115558 | − | 0.229136i | ||||
\(853\) | −30.2008 | − | 10.9922i | −1.03405 | − | 0.376365i | −0.231431 | − | 0.972851i | \(-0.574341\pi\) |
−0.802623 | + | 0.596486i | \(0.796563\pi\) | |||||||
\(854\) | 8.19189 | 0.280321 | ||||||||
\(855\) | 20.0333 | − | 32.1590i | 0.685125 | − | 1.09981i | ||||
\(856\) | −4.78366 | −0.163502 | ||||||||
\(857\) | 23.1422 | + | 8.42308i | 0.790524 | + | 0.287727i | 0.705554 | − | 0.708656i | \(-0.250698\pi\) |
0.0849699 | + | 0.996384i | \(0.472921\pi\) | |||||||
\(858\) | 12.8436 | − | 25.4672i | 0.438473 | − | 0.869436i | ||||
\(859\) | −11.9557 | − | 10.0320i | −0.407923 | − | 0.342288i | 0.415623 | − | 0.909537i | \(-0.363563\pi\) |
−0.823547 | + | 0.567248i | \(0.808008\pi\) | |||||||
\(860\) | 5.38013 | + | 6.41179i | 0.183461 | + | 0.218640i | ||||
\(861\) | −8.67289 | + | 8.15502i | −0.295571 | + | 0.277922i | ||||
\(862\) | 14.4897 | − | 25.0970i | 0.493522 | − | 0.854806i | ||||
\(863\) | 7.05542 | + | 12.2203i | 0.240169 | + | 0.415985i | 0.960762 | − | 0.277373i | \(-0.0894637\pi\) |
−0.720593 | + | 0.693358i | \(0.756130\pi\) | |||||||
\(864\) | −0.0261264 | + | 5.19609i | −0.000888837 | + | 0.176774i | ||||
\(865\) | −9.34505 | − | 25.6753i | −0.317741 | − | 0.872987i | ||||
\(866\) | 23.8263 | − | 13.7561i | 0.809649 | − | 0.467451i | ||||
\(867\) | 16.5086 | − | 7.08830i | 0.560660 | − | 0.240731i | ||||
\(868\) | −4.99581 | − | 0.880897i | −0.169569 | − | 0.0298996i | ||||
\(869\) | 10.4860 | − | 8.79880i | 0.355713 | − | 0.298479i | ||||
\(870\) | 5.69952 | − | 1.34073i | 0.193232 | − | 0.0454549i | ||||
\(871\) | 6.46878 | + | 36.6863i | 0.219186 | + | 1.24307i | ||||
\(872\) | −2.94186 | + | 8.08270i | −0.0996240 | + | 0.273715i | ||||
\(873\) | 12.3888 | − | 3.66376i | 0.419297 | − | 0.123999i | ||||
\(874\) | 28.6769 | − | 5.88896i | 0.970011 | − | 0.199197i | ||||
\(875\) | − | 5.22796i | − | 0.176737i | ||||||
\(876\) | −7.14743 | − | 10.9069i | −0.241489 | − | 0.368510i | ||||
\(877\) | 17.9817 | − | 3.17067i | 0.607200 | − | 0.107066i | 0.138410 | − | 0.990375i | \(-0.455801\pi\) |
0.468791 | + | 0.883309i | \(0.344690\pi\) | |||||||
\(878\) | 9.76729 | − | 11.6402i | 0.329630 | − | 0.392838i | ||||
\(879\) | −34.8344 | + | 1.97029i | −1.17493 | + | 0.0664564i | ||||
\(880\) | −1.57394 | + | 8.92628i | −0.0530577 | + | 0.300905i | ||||
\(881\) | −5.32331 | − | 3.07342i | −0.179347 | − | 0.103546i | 0.407639 | − | 0.913143i | \(-0.366352\pi\) |
−0.586986 | + | 0.809597i | \(0.699686\pi\) | |||||||
\(882\) | −11.8513 | + | 12.4775i | −0.399053 | + | 0.420141i | ||||
\(883\) | 51.4745 | − | 18.7352i | 1.73225 | − | 0.630489i | 0.733468 | − | 0.679724i | \(-0.237901\pi\) |
0.998787 | + | 0.0492352i | \(0.0156784\pi\) | |||||||
\(884\) | 12.7342 | − | 4.63488i | 0.428299 | − | 0.155888i | ||||
\(885\) | 34.0387 | + | 4.03640i | 1.14420 | + | 0.135682i | ||||
\(886\) | −4.17811 | − | 2.41223i | −0.140366 | − | 0.0810405i | ||||
\(887\) | 7.62578 | − | 43.2479i | 0.256049 | − | 1.45212i | −0.537318 | − | 0.843379i | \(-0.680563\pi\) |
0.793367 | − | 0.608744i | \(-0.208326\pi\) | |||||||
\(888\) | −1.18062 | − | 20.8731i | −0.0396189 | − | 0.700454i | ||||
\(889\) | 5.57202 | − | 6.64047i | 0.186879 | − | 0.222714i | ||||
\(890\) | 39.1236 | − | 6.89855i | 1.31143 | − | 0.231240i | ||||
\(891\) | 6.30914 | + | 27.4388i | 0.211364 | + | 0.919236i | ||||
\(892\) | − | 5.56672i | − | 0.186387i | ||||||
\(893\) | 0.134831 | + | 4.81292i | 0.00451194 | + | 0.161058i | ||||
\(894\) | −4.40620 | + | 5.89789i | −0.147365 | + | 0.197255i | ||||
\(895\) | 7.42145 | − | 20.3903i | 0.248072 | − | 0.681571i | ||||
\(896\) | −0.195209 | − | 1.10709i | −0.00652148 | − | 0.0369852i | ||||
\(897\) | −14.0220 | − | 59.6084i | −0.468180 | − | 1.99027i | ||||
\(898\) | −2.73732 | + | 2.29688i | −0.0913455 | + | 0.0766480i | ||||
\(899\) | 5.18490 | + | 0.914238i | 0.172926 | + | 0.0304915i | ||||
\(900\) | 9.90234 | + | 2.38198i | 0.330078 | + | 0.0793994i | ||||
\(901\) | 16.4961 | − | 9.52401i | 0.549564 | − | 0.317291i | ||||
\(902\) | 6.54172 | + | 17.9732i | 0.217816 | + | 0.598443i | ||||
\(903\) | −5.38579 | − | 1.62224i | −0.179228 | − | 0.0539848i | ||||
\(904\) | −8.08342 | − | 14.0009i | −0.268850 | − | 0.465663i | ||||
\(905\) | −23.1408 | + | 40.0811i | −0.769228 | + | 1.33234i | ||||
\(906\) | −10.6089 | − | 11.2826i | −0.352457 | − | 0.374839i | ||||
\(907\) | −21.7940 | − | 25.9730i | −0.723656 | − | 0.862420i | 0.271324 | − | 0.962488i | \(-0.412538\pi\) |
−0.994981 | + | 0.100068i | \(0.968094\pi\) | |||||||
\(908\) | −18.9778 | − | 15.9243i | −0.629802 | − | 0.528466i | ||||
\(909\) | −7.90944 | − | 15.8815i | −0.262340 | − | 0.526756i | ||||
\(910\) | 16.1117 | + | 5.86419i | 0.534098 | + | 0.194396i | ||||
\(911\) | 15.3654 | 0.509077 | 0.254539 | − | 0.967063i | \(-0.418076\pi\) | ||||
0.254539 | + | 0.967063i | \(0.418076\pi\) | |||||||
\(912\) | 6.17250 | + | 4.34745i | 0.204392 | + | 0.143958i | ||||
\(913\) | −45.1937 | −1.49569 | ||||||||
\(914\) | −24.4987 | − | 8.91679i | −0.810344 | − | 0.294941i | ||||
\(915\) | −32.6525 | − | 16.4673i | −1.07946 | − | 0.544391i | ||||
\(916\) | −18.9939 | − | 15.9377i | −0.627575 | − | 0.526598i | ||||
\(917\) | 1.59991 | + | 1.90670i | 0.0528336 | + | 0.0629646i | ||||
\(918\) | −6.74655 | + | 11.5509i | −0.222669 | + | 0.381235i | ||||
\(919\) | −6.10344 | + | 10.5715i | −0.201334 | + | 0.348720i | −0.948958 | − | 0.315401i | \(-0.897861\pi\) |
0.747625 | + | 0.664121i | \(0.231194\pi\) | |||||||
\(920\) | 9.72979 | + | 16.8525i | 0.320782 | + | 0.555610i | ||||
\(921\) | −3.27516 | + | 10.8734i | −0.107920 | + | 0.358292i | ||||
\(922\) | −4.50390 | − | 12.3744i | −0.148328 | − | 0.407528i | ||||
\(923\) | −19.7155 | + | 11.3828i | −0.648944 | + | 0.374668i | ||||
\(924\) | −2.40321 | − | 5.59705i | −0.0790600 | − | 0.184130i | ||||
\(925\) | −40.3554 | − | 7.11574i | −1.32688 | − | 0.233964i | ||||
\(926\) | 16.3732 | − | 13.7387i | 0.538056 | − | 0.451482i | ||||
\(927\) | −54.8253 | − | 23.8676i | −1.80070 | − | 0.783915i | ||||
\(928\) | 0.202598 | + | 1.14899i | 0.00665059 | + | 0.0377174i | ||||
\(929\) | 6.30750 | − | 17.3297i | 0.206942 | − | 0.568569i | −0.792188 | − | 0.610278i | \(-0.791058\pi\) |
0.999130 | + | 0.0417085i | \(0.0132801\pi\) | |||||||
\(930\) | 18.1423 | + | 13.5538i | 0.594909 | + | 0.444445i | ||||
\(931\) | 5.02970 | + | 24.4926i | 0.164842 | + | 0.802714i | ||||
\(932\) | 21.5009i | 0.704284i | ||||||||
\(933\) | 3.12268 | − | 2.04633i | 0.102232 | − | 0.0669938i | ||||
\(934\) | 9.11934 | − | 1.60799i | 0.298394 | − | 0.0526149i | ||||
\(935\) | −14.9988 | + | 17.8749i | −0.490513 | + | 0.584570i | ||||
\(936\) | 8.72205 | − | 13.1649i | 0.285089 | − | 0.430308i | ||||
\(937\) | −4.35606 | + | 24.7045i | −0.142306 | + | 0.807060i | 0.827184 | + | 0.561931i | \(0.189941\pi\) |
−0.969491 | + | 0.245129i | \(0.921170\pi\) | |||||||
\(938\) | 6.88963 | + | 3.97773i | 0.224954 | + | 0.129877i | ||||
\(939\) | 3.45342 | − | 29.1225i | 0.112698 | − | 0.950378i | ||||
\(940\) | −3.00744 | + | 1.09462i | −0.0980918 | + | 0.0357025i | ||||
\(941\) | −43.7853 | + | 15.9365i | −1.42736 | + | 0.519517i | −0.936174 | − | 0.351538i | \(-0.885659\pi\) |
−0.491187 | + | 0.871054i | \(0.663437\pi\) | |||||||
\(942\) | −0.413521 | + | 3.48720i | −0.0134732 | + | 0.113619i | ||||
\(943\) | 35.5619 | + | 20.5317i | 1.15806 | + | 0.668604i | ||||
\(944\) | −1.18606 | + | 6.72648i | −0.0386030 | + | 0.218928i | ||||
\(945\) | −15.9329 | + | 5.70854i | −0.518297 | + | 0.185699i | ||||
\(946\) | −5.80891 | + | 6.92279i | −0.188864 | + | 0.225079i | ||||
\(947\) | 54.8110 | − | 9.66466i | 1.78112 | − | 0.314059i | 0.816429 | − | 0.577446i | \(-0.195951\pi\) |
0.964690 | + | 0.263387i | \(0.0848397\pi\) | |||||||
\(948\) | 6.33905 | − | 4.15406i | 0.205883 | − | 0.134917i | ||||
\(949\) | 39.6315i | 1.28649i | ||||||||
\(950\) | 11.0652 | − | 9.82580i | 0.359004 | − | 0.318791i | ||||
\(951\) | −7.68312 | − | 5.73991i | −0.249142 | − | 0.186129i | ||||
\(952\) | 0.989809 | − | 2.71948i | 0.0320799 | − | 0.0881388i | ||||
\(953\) | 3.28854 | + | 18.6502i | 0.106526 | + | 0.604140i | 0.990600 | + | 0.136792i | \(0.0436792\pi\) |
−0.884074 | + | 0.467348i | \(0.845210\pi\) | |||||||
\(954\) | 8.86020 | − | 20.3524i | 0.286860 | − | 0.658933i | ||||
\(955\) | 16.9074 | − | 14.1870i | 0.547109 | − | 0.459079i | ||||
\(956\) | 11.9547 | + | 2.10793i | 0.386642 | + | 0.0681755i | ||||
\(957\) | 2.49417 | + | 5.80889i | 0.0806252 | + | 0.187775i | ||||
\(958\) | 4.87374 | − | 2.81386i | 0.157464 | − | 0.0909116i | ||||
\(959\) | −0.0829924 | − | 0.228020i | −0.00267997 | − | 0.00736314i | ||||
\(960\) | −1.44736 | + | 4.80520i | −0.0467134 | + | 0.155087i | ||||
\(961\) | −5.31832 | − | 9.21160i | −0.171559 | − | 0.297148i | ||||
\(962\) | −31.7692 | + | 55.0259i | −1.02428 | + | 1.77410i | ||||
\(963\) | −14.2594 | + | 1.61826i | −0.459504 | + | 0.0521476i | ||||
\(964\) | −13.9784 | − | 16.6589i | −0.450215 | − | 0.536546i | ||||
\(965\) | 26.6332 | + | 22.3479i | 0.857353 | + | 0.719405i | ||||
\(966\) | −11.6764 | − | 5.88863i | −0.375681 | − | 0.189463i | ||||
\(967\) | −23.9285 | − | 8.70925i | −0.769488 | − | 0.280071i | −0.0727056 | − | 0.997353i | \(-0.523163\pi\) |
−0.696782 | + | 0.717283i | \(0.745386\pi\) | |||||||
\(968\) | 1.21364 | 0.0390080 | ||||||||
\(969\) | 8.16540 | + | 17.6376i | 0.262310 | + | 0.566601i | ||||
\(970\) | 12.4774 | 0.400624 | ||||||||
\(971\) | 14.6975 | + | 5.34944i | 0.471664 | + | 0.171672i | 0.566906 | − | 0.823782i | \(-0.308140\pi\) |
−0.0952419 | + | 0.995454i | \(0.530362\pi\) | |||||||
\(972\) | 1.67990 | + | 15.4977i | 0.0538828 | + | 0.497088i | ||||
\(973\) | −16.1519 | − | 13.5531i | −0.517807 | − | 0.434492i | ||||
\(974\) | −13.1699 | − | 15.6953i | −0.421992 | − | 0.502910i | ||||
\(975\) | −21.2038 | − | 22.5503i | −0.679064 | − | 0.722187i | ||||
\(976\) | 3.64354 | − | 6.31080i | 0.116627 | − | 0.202004i | ||||
\(977\) | 10.2781 | + | 17.8022i | 0.328827 | + | 0.569544i | 0.982279 | − | 0.187423i | \(-0.0600135\pi\) |
−0.653453 | + | 0.756967i | \(0.726680\pi\) | |||||||
\(978\) | 15.4758 | + | 4.66142i | 0.494860 | + | 0.149056i | ||||
\(979\) | 14.6704 | + | 40.3065i | 0.468867 | + | 1.28820i | ||||
\(980\) | −14.3935 | + | 8.31011i | −0.459785 | + | 0.265457i | ||||
\(981\) | −6.03501 | + | 25.0886i | −0.192683 | + | 0.801018i | ||||
\(982\) | 32.2309 | + | 5.68317i | 1.02853 | + | 0.181357i | ||||
\(983\) | −14.5443 | + | 12.2041i | −0.463890 | + | 0.389250i | −0.844560 | − | 0.535461i | \(-0.820138\pi\) |
0.380670 | + | 0.924711i | \(0.375693\pi\) | |||||||
\(984\) | 2.42492 | + | 10.3085i | 0.0773036 | + | 0.328623i | ||||
\(985\) | 8.86652 | + | 50.2845i | 0.282511 | + | 1.60220i | ||||
\(986\) | −1.02727 | + | 2.82241i | −0.0327150 | + | 0.0898837i | ||||
\(987\) | 1.28724 | − | 1.72302i | 0.0409732 | − | 0.0548444i | ||||
\(988\) | −8.44848 | − | 21.3333i | −0.268782 | − | 0.678704i | ||||
\(989\) | 19.4018i | 0.616941i | ||||||||
\(990\) | −1.67206 | + | 27.1405i | −0.0531414 | + | 0.862582i | ||||
\(991\) | −41.2131 | + | 7.26698i | −1.30918 | + | 0.230843i | −0.784325 | − | 0.620350i | \(-0.786991\pi\) |
−0.524852 | + | 0.851193i | \(0.675879\pi\) | |||||||
\(992\) | −2.90063 | + | 3.45684i | −0.0920951 | + | 0.109755i | ||||
\(993\) | 0.753924 | + | 13.3292i | 0.0239251 | + | 0.422989i | ||||
\(994\) | −0.844229 | + | 4.78786i | −0.0267773 | + | 0.151862i | ||||
\(995\) | −5.67907 | − | 3.27881i | −0.180039 | − | 0.103945i | ||||
\(996\) | −24.8482 | − | 2.94657i | −0.787347 | − | 0.0933656i | ||||
\(997\) | 14.4637 | − | 5.26435i | 0.458069 | − | 0.166724i | −0.102671 | − | 0.994715i | \(-0.532739\pi\) |
0.560740 | + | 0.827992i | \(0.310517\pi\) | |||||||
\(998\) | −19.2782 | + | 7.01669i | −0.610241 | + | 0.222110i | ||||
\(999\) | −10.5804 | − | 61.8204i | −0.334748 | − | 1.95591i |
(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 | 114.2.l.b.53.2 | yes | 18 | |
3.2 | odd | 2 | 114.2.l.a.53.3 | ✓ | 18 | ||
4.3 | odd | 2 | 912.2.cc.c.737.2 | 18 | |||
12.11 | even | 2 | 912.2.cc.d.737.1 | 18 | |||
19.14 | odd | 18 | 114.2.l.a.71.3 | yes | 18 | ||
57.14 | even | 18 | inner | 114.2.l.b.71.2 | yes | 18 | |
76.71 | even | 18 | 912.2.cc.d.641.1 | 18 | |||
228.71 | odd | 18 | 912.2.cc.c.641.2 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.l.a.53.3 | ✓ | 18 | 3.2 | odd | 2 | ||
114.2.l.a.71.3 | yes | 18 | 19.14 | odd | 18 | ||
114.2.l.b.53.2 | yes | 18 | 1.1 | even | 1 | trivial | |
114.2.l.b.71.2 | yes | 18 | 57.14 | even | 18 | inner | |
912.2.cc.c.641.2 | 18 | 228.71 | odd | 18 | |||
912.2.cc.c.737.2 | 18 | 4.3 | odd | 2 | |||
912.2.cc.d.641.1 | 18 | 76.71 | even | 18 | |||
912.2.cc.d.737.1 | 18 | 12.11 | even | 2 |