Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [124,3,Mod(7,124)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(124, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 28]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("124.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 124.n (of order \(30\), degree \(8\), 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: | \(3.37875527807\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 7.7 | ||
Character | \(\chi\) | \(=\) | 124.7 |
Dual form | 124.3.n.a.71.7 |
$q$-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 \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).
\(n\) | \(63\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{14}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.60673 | − | 1.19097i | −0.803367 | − | 0.595484i | ||||
\(3\) | 0.931035 | + | 4.38017i | 0.310345 | + | 1.46006i | 0.806195 | + | 0.591650i | \(0.201523\pi\) |
−0.495850 | + | 0.868408i | \(0.665143\pi\) | |||||||
\(4\) | 1.16319 | + | 3.82714i | 0.290799 | + | 0.956784i | ||||
\(5\) | −0.973390 | + | 1.68596i | −0.194678 | + | 0.337192i | −0.946795 | − | 0.321838i | \(-0.895700\pi\) |
0.752117 | + | 0.659030i | \(0.229033\pi\) | |||||||
\(6\) | 3.72072 | − | 8.14661i | 0.620120 | − | 1.35777i | ||||
\(7\) | −1.13057 | + | 2.53929i | −0.161509 | + | 0.362756i | −0.976113 | − | 0.217261i | \(-0.930288\pi\) |
0.814604 | + | 0.580017i | \(0.196954\pi\) | |||||||
\(8\) | 2.68905 | − | 7.53452i | 0.336131 | − | 0.941815i | ||||
\(9\) | −10.0972 | + | 4.49556i | −1.12191 | + | 0.499507i | ||||
\(10\) | 3.57190 | − | 1.54962i | 0.357190 | − | 0.154962i | ||||
\(11\) | −12.6802 | + | 1.33274i | −1.15275 | + | 0.121158i | −0.661557 | − | 0.749895i | \(-0.730104\pi\) |
−0.491189 | + | 0.871053i | \(0.663437\pi\) | |||||||
\(12\) | −15.6806 | + | 8.65819i | −1.30671 | + | 0.721516i | ||||
\(13\) | −4.93216 | − | 5.47772i | −0.379397 | − | 0.421363i | 0.522957 | − | 0.852359i | \(-0.324829\pi\) |
−0.902354 | + | 0.430996i | \(0.858162\pi\) | |||||||
\(14\) | 4.84073 | − | 2.73350i | 0.345767 | − | 0.195250i | ||||
\(15\) | −8.29106 | − | 2.69393i | −0.552738 | − | 0.179595i | ||||
\(16\) | −13.2940 | + | 8.90341i | −0.830872 | + | 0.556463i | ||||
\(17\) | −0.437066 | + | 4.15841i | −0.0257098 | + | 0.244612i | 0.974118 | + | 0.226041i | \(0.0725784\pi\) |
−0.999828 | + | 0.0185711i | \(0.994088\pi\) | |||||||
\(18\) | 21.5776 | + | 4.80225i | 1.19875 | + | 0.266792i | ||||
\(19\) | 17.1611 | + | 15.4519i | 0.903215 | + | 0.813259i | 0.983010 | − | 0.183553i | \(-0.0587598\pi\) |
−0.0797947 | + | 0.996811i | \(0.525426\pi\) | |||||||
\(20\) | −7.58465 | − | 1.76420i | −0.379232 | − | 0.0882099i | ||||
\(21\) | −12.1751 | − | 2.58791i | −0.579769 | − | 0.123234i | ||||
\(22\) | 21.9610 | + | 12.9603i | 0.998227 | + | 0.589107i | ||||
\(23\) | −7.50904 | + | 10.3353i | −0.326480 | + | 0.449361i | −0.940432 | − | 0.339982i | \(-0.889579\pi\) |
0.613952 | + | 0.789343i | \(0.289579\pi\) | |||||||
\(24\) | 35.5061 | + | 4.76361i | 1.47942 | + | 0.198484i | ||||
\(25\) | 10.6050 | + | 18.3684i | 0.424201 | + | 0.734738i | ||||
\(26\) | 1.40089 | + | 14.6753i | 0.0538804 | + | 0.564434i | ||||
\(27\) | −5.40310 | − | 7.43672i | −0.200115 | − | 0.275434i | ||||
\(28\) | −11.0333 | − | 1.37314i | −0.394046 | − | 0.0490407i | ||||
\(29\) | −14.8909 | − | 45.8294i | −0.513479 | − | 1.58033i | −0.786033 | − | 0.618185i | \(-0.787868\pi\) |
0.272554 | − | 0.962140i | \(-0.412132\pi\) | |||||||
\(30\) | 10.1132 | + | 14.2028i | 0.337105 | + | 0.473427i | ||||
\(31\) | 1.12489 | + | 30.9796i | 0.0362867 | + | 0.999341i | ||||
\(32\) | 31.9635 | + | 1.52726i | 0.998860 | + | 0.0477268i | ||||
\(33\) | −17.6434 | − | 54.3007i | −0.534647 | − | 1.64548i | ||||
\(34\) | 5.65478 | − | 6.16093i | 0.166317 | − | 0.181204i | ||||
\(35\) | −3.18067 | − | 4.37781i | −0.0908762 | − | 0.125080i | ||||
\(36\) | −28.9501 | − | 33.4141i | −0.804170 | − | 0.928170i | ||||
\(37\) | 7.46297 | + | 12.9262i | 0.201702 | + | 0.349358i | 0.949077 | − | 0.315044i | \(-0.102019\pi\) |
−0.747375 | + | 0.664402i | \(0.768686\pi\) | |||||||
\(38\) | −9.17060 | − | 45.2654i | −0.241331 | − | 1.19120i | ||||
\(39\) | 19.4014 | − | 26.7037i | 0.497471 | − | 0.684709i | ||||
\(40\) | 10.0854 | + | 11.8677i | 0.252135 | + | 0.296692i | ||||
\(41\) | 25.6656 | + | 5.45538i | 0.625989 | + | 0.133058i | 0.509975 | − | 0.860189i | \(-0.329655\pi\) |
0.116015 | + | 0.993248i | \(0.462988\pi\) | |||||||
\(42\) | 16.4801 | + | 18.6583i | 0.392384 | + | 0.444245i | ||||
\(43\) | −39.2538 | − | 35.3443i | −0.912880 | − | 0.821961i | 0.0716042 | − | 0.997433i | \(-0.477188\pi\) |
−0.984484 | + | 0.175472i | \(0.943855\pi\) | |||||||
\(44\) | −19.8501 | − | 46.9787i | −0.451139 | − | 1.06770i | ||||
\(45\) | 2.24917 | − | 21.3994i | 0.0499815 | − | 0.475542i | ||||
\(46\) | 24.3740 | − | 7.66308i | 0.529871 | − | 0.166589i | ||||
\(47\) | 16.4571 | + | 5.34723i | 0.350151 | + | 0.113771i | 0.478811 | − | 0.877918i | \(-0.341068\pi\) |
−0.128661 | + | 0.991689i | \(0.541068\pi\) | |||||||
\(48\) | −51.3756 | − | 49.9405i | −1.07033 | − | 1.04043i | ||||
\(49\) | 27.6176 | + | 30.6724i | 0.563624 | + | 0.625968i | ||||
\(50\) | 4.83675 | − | 42.1434i | 0.0967350 | − | 0.842869i | ||||
\(51\) | −18.6215 | + | 1.95720i | −0.365127 | + | 0.0383764i | ||||
\(52\) | 15.2269 | − | 25.2477i | 0.292825 | − | 0.485533i | ||||
\(53\) | 31.5797 | − | 14.0602i | 0.595843 | − | 0.265287i | −0.0865785 | − | 0.996245i | \(-0.527593\pi\) |
0.682422 | + | 0.730958i | \(0.260927\pi\) | |||||||
\(54\) | −0.175551 | + | 18.3838i | −0.00325095 | + | 0.340440i | ||||
\(55\) | 10.0958 | − | 22.6756i | 0.183561 | − | 0.412284i | ||||
\(56\) | 16.0922 | + | 15.3466i | 0.287361 | + | 0.274046i | ||||
\(57\) | −51.7045 | + | 89.5548i | −0.907097 | + | 1.57114i | ||||
\(58\) | −30.6556 | + | 91.3703i | −0.528546 | + | 1.57535i | ||||
\(59\) | 11.9352 | + | 56.1509i | 0.202292 | + | 0.951710i | 0.955742 | + | 0.294205i | \(0.0950549\pi\) |
−0.753450 | + | 0.657505i | \(0.771612\pi\) | |||||||
\(60\) | 0.665924 | − | 34.8646i | 0.0110987 | − | 0.581077i | ||||
\(61\) | 107.434 | 1.76122 | 0.880610 | − | 0.473842i | \(-0.157133\pi\) | ||||
0.880610 | + | 0.473842i | \(0.157133\pi\) | |||||||
\(62\) | 35.0883 | − | 51.1157i | 0.565940 | − | 0.824447i | ||||
\(63\) | − | 30.7223i | − | 0.487655i | ||||||
\(64\) | −49.5380 | − | 40.5214i | −0.774031 | − | 0.633147i | ||||
\(65\) | 14.0361 | − | 2.98347i | 0.215941 | − | 0.0458996i | ||||
\(66\) | −36.3221 | + | 108.259i | −0.550335 | + | 1.64030i | ||||
\(67\) | −40.8447 | − | 23.5817i | −0.609622 | − | 0.351965i | 0.163195 | − | 0.986594i | \(-0.447820\pi\) |
−0.772818 | + | 0.634628i | \(0.781153\pi\) | |||||||
\(68\) | −16.4232 | + | 3.16432i | −0.241517 | + | 0.0465341i | ||||
\(69\) | −52.2616 | − | 23.2684i | −0.757415 | − | 0.337223i | ||||
\(70\) | −0.103343 | + | 10.8221i | −0.00147632 | + | 0.154601i | ||||
\(71\) | 15.7127 | + | 35.2912i | 0.221305 | + | 0.497060i | 0.989742 | − | 0.142866i | \(-0.0456318\pi\) |
−0.768437 | + | 0.639926i | \(0.778965\pi\) | |||||||
\(72\) | 6.72003 | + | 88.1663i | 0.0933337 | + | 1.22453i | ||||
\(73\) | 13.9500 | + | 132.726i | 0.191097 | + | 1.81816i | 0.498842 | + | 0.866693i | \(0.333759\pi\) |
−0.307745 | + | 0.951469i | \(0.599574\pi\) | |||||||
\(74\) | 3.40372 | − | 29.6572i | 0.0459962 | − | 0.400773i | ||||
\(75\) | −70.5833 | + | 63.5535i | −0.941111 | + | 0.847380i | ||||
\(76\) | −39.1749 | + | 83.6514i | −0.515459 | + | 1.10068i | ||||
\(77\) | 10.9516 | − | 33.7055i | 0.142228 | − | 0.437734i | ||||
\(78\) | −62.9760 | + | 19.7993i | −0.807385 | + | 0.253838i | ||||
\(79\) | 107.810 | + | 11.3313i | 1.36468 | + | 0.143434i | 0.758387 | − | 0.651805i | \(-0.225988\pi\) |
0.606296 | + | 0.795239i | \(0.292655\pi\) | |||||||
\(80\) | −2.07059 | − | 31.0796i | −0.0258824 | − | 0.388495i | ||||
\(81\) | −39.0179 | + | 43.3338i | −0.481703 | + | 0.534985i | ||||
\(82\) | −34.7406 | − | 39.3322i | −0.423665 | − | 0.479661i | ||||
\(83\) | 19.3403 | − | 90.9891i | 0.233016 | − | 1.09625i | −0.693634 | − | 0.720328i | \(-0.743991\pi\) |
0.926650 | − | 0.375926i | \(-0.122675\pi\) | |||||||
\(84\) | −4.25778 | − | 49.6062i | −0.0506878 | − | 0.590550i | ||||
\(85\) | −6.58548 | − | 4.78463i | −0.0774762 | − | 0.0562897i | ||||
\(86\) | 20.9766 | + | 103.539i | 0.243914 | + | 1.20394i | ||||
\(87\) | 186.877 | − | 107.893i | 2.14801 | − | 1.24015i | ||||
\(88\) | −24.0561 | + | 99.1231i | −0.273365 | + | 1.12640i | ||||
\(89\) | 72.7316 | − | 52.8426i | 0.817209 | − | 0.593737i | −0.0987023 | − | 0.995117i | \(-0.531469\pi\) |
0.915912 | + | 0.401380i | \(0.131469\pi\) | |||||||
\(90\) | −29.0998 | + | 31.7045i | −0.323331 | + | 0.352272i | ||||
\(91\) | 19.4857 | − | 6.33127i | 0.214128 | − | 0.0695744i | ||||
\(92\) | −48.2891 | − | 16.7162i | −0.524882 | − | 0.181697i | ||||
\(93\) | −134.649 | + | 33.7703i | −1.44784 | + | 0.363121i | ||||
\(94\) | −20.0738 | − | 28.1914i | −0.213551 | − | 0.299909i | ||||
\(95\) | −42.7558 | + | 13.8922i | −0.450061 | + | 0.146234i | ||||
\(96\) | 23.0695 | + | 141.428i | 0.240307 | + | 1.47321i | ||||
\(97\) | −94.9092 | + | 68.9555i | −0.978445 | + | 0.710882i | −0.957361 | − | 0.288896i | \(-0.906712\pi\) |
−0.0210845 | + | 0.999778i | \(0.506712\pi\) | |||||||
\(98\) | −7.84427 | − | 82.1741i | −0.0800435 | − | 0.838511i | ||||
\(99\) | 122.043 | − | 70.4616i | 1.23276 | − | 0.711733i | ||||
\(100\) | −57.9628 | + | 61.9529i | −0.579628 | + | 0.619529i | ||||
\(101\) | −25.9127 | − | 18.8267i | −0.256561 | − | 0.186403i | 0.452068 | − | 0.891983i | \(-0.350686\pi\) |
−0.708630 | + | 0.705581i | \(0.750686\pi\) | |||||||
\(102\) | 32.2507 | + | 19.0329i | 0.316184 | + | 0.186597i | ||||
\(103\) | 10.7235 | − | 50.4500i | 0.104111 | − | 0.489806i | −0.894937 | − | 0.446193i | \(-0.852780\pi\) |
0.999048 | − | 0.0436135i | \(-0.0138870\pi\) | |||||||
\(104\) | −54.5348 | + | 22.4316i | −0.524373 | + | 0.215688i | ||||
\(105\) | 16.2143 | − | 18.0078i | 0.154422 | − | 0.171503i | ||||
\(106\) | −67.4854 | − | 15.0194i | −0.636655 | − | 0.141692i | ||||
\(107\) | −141.977 | − | 14.9224i | −1.32689 | − | 0.139461i | −0.585573 | − | 0.810620i | \(-0.699130\pi\) |
−0.741314 | + | 0.671158i | \(0.765797\pi\) | |||||||
\(108\) | 22.1765 | − | 29.3287i | 0.205338 | − | 0.271562i | ||||
\(109\) | 42.2717 | − | 130.099i | 0.387814 | − | 1.19357i | −0.546605 | − | 0.837391i | \(-0.684080\pi\) |
0.934419 | − | 0.356177i | \(-0.115920\pi\) | |||||||
\(110\) | −43.2272 | + | 24.4099i | −0.392975 | + | 0.221908i | ||||
\(111\) | −49.6709 | + | 44.7239i | −0.447486 | + | 0.402918i | ||||
\(112\) | −7.57866 | − | 43.8231i | −0.0676666 | − | 0.391278i | ||||
\(113\) | −7.59941 | − | 72.3035i | −0.0672514 | − | 0.639854i | −0.975284 | − | 0.220955i | \(-0.929083\pi\) |
0.908033 | − | 0.418899i | \(-0.137584\pi\) | |||||||
\(114\) | 189.732 | − | 82.3125i | 1.66432 | − | 0.722039i | ||||
\(115\) | −10.1157 | − | 22.7202i | −0.0879626 | − | 0.197567i | ||||
\(116\) | 158.075 | − | 110.298i | 1.36271 | − | 0.950845i | ||||
\(117\) | 74.4264 | + | 33.1368i | 0.636123 | + | 0.283220i | ||||
\(118\) | 47.6971 | − | 104.434i | 0.404213 | − | 0.885035i | ||||
\(119\) | −10.0653 | − | 5.81119i | −0.0845822 | − | 0.0488335i | ||||
\(120\) | −42.5926 | + | 55.2251i | −0.354938 | + | 0.460209i | ||||
\(121\) | 40.6556 | − | 8.64161i | 0.335997 | − | 0.0714183i | ||||
\(122\) | −172.619 | − | 127.951i | −1.41491 | − | 1.04878i | ||||
\(123\) | 117.499i | 0.955275i | ||||||||
\(124\) | −117.255 | + | 40.3404i | −0.945602 | + | 0.325326i | ||||
\(125\) | −89.9608 | −0.719686 | ||||||||
\(126\) | −36.5892 | + | 49.3625i | −0.290390 | + | 0.391766i | ||||
\(127\) | −20.7638 | − | 97.6860i | −0.163495 | − | 0.769181i | −0.981115 | − | 0.193424i | \(-0.938041\pi\) |
0.817621 | − | 0.575757i | \(-0.195293\pi\) | |||||||
\(128\) | 31.3348 | + | 124.105i | 0.244803 | + | 0.969573i | ||||
\(129\) | 118.268 | − | 204.846i | 0.916803 | − | 1.58795i | ||||
\(130\) | −26.1056 | − | 11.9229i | −0.200812 | − | 0.0917148i | ||||
\(131\) | −72.4368 | + | 162.696i | −0.552953 | + | 1.24195i | 0.393564 | + | 0.919297i | \(0.371242\pi\) |
−0.946517 | + | 0.322655i | \(0.895425\pi\) | |||||||
\(132\) | 187.294 | − | 130.686i | 1.41889 | − | 0.990044i | ||||
\(133\) | −58.6387 | + | 26.1076i | −0.440892 | + | 0.196298i | ||||
\(134\) | 37.5416 | + | 86.5342i | 0.280161 | + | 0.645778i | ||||
\(135\) | 17.7973 | − | 1.87058i | 0.131832 | − | 0.0138561i | ||||
\(136\) | 30.1563 | + | 14.4753i | 0.221738 | + | 0.106436i | ||||
\(137\) | 56.1100 | + | 62.3165i | 0.409562 | + | 0.454865i | 0.912269 | − | 0.409592i | \(-0.134329\pi\) |
−0.502707 | + | 0.864457i | \(0.667662\pi\) | |||||||
\(138\) | 56.2587 | + | 99.6280i | 0.407672 | + | 0.721942i | ||||
\(139\) | 59.1897 | + | 19.2319i | 0.425825 | + | 0.138359i | 0.514087 | − | 0.857738i | \(-0.328131\pi\) |
−0.0882611 | + | 0.996097i | \(0.528131\pi\) | |||||||
\(140\) | 13.0548 | − | 17.2651i | 0.0932482 | − | 0.123322i | ||||
\(141\) | −8.09969 | + | 77.0634i | −0.0574446 | + | 0.546549i | ||||
\(142\) | 16.7846 | − | 75.4170i | 0.118202 | − | 0.531105i | ||||
\(143\) | 69.8412 | + | 62.8853i | 0.488400 | + | 0.439757i | ||||
\(144\) | 94.2059 | − | 149.663i | 0.654208 | − | 1.03933i | ||||
\(145\) | 91.7613 | + | 19.5045i | 0.632836 | + | 0.134514i | ||||
\(146\) | 135.658 | − | 229.869i | 0.929165 | − | 1.57445i | ||||
\(147\) | −108.638 | + | 149.527i | −0.739032 | + | 1.01719i | ||||
\(148\) | −40.7896 | + | 43.5976i | −0.275606 | + | 0.294578i | ||||
\(149\) | 140.369 | + | 243.126i | 0.942072 | + | 1.63172i | 0.761511 | + | 0.648152i | \(0.224458\pi\) |
0.180561 | + | 0.983564i | \(0.442209\pi\) | |||||||
\(150\) | 189.099 | − | 18.0512i | 1.26066 | − | 0.120341i | ||||
\(151\) | −127.521 | − | 175.518i | −0.844510 | − | 1.16237i | −0.985046 | − | 0.172293i | \(-0.944883\pi\) |
0.140536 | − | 0.990076i | \(-0.455117\pi\) | |||||||
\(152\) | 162.570 | − | 87.7496i | 1.06954 | − | 0.577300i | ||||
\(153\) | −14.2812 | − | 43.9531i | −0.0933414 | − | 0.287275i | ||||
\(154\) | −57.7384 | + | 41.1128i | −0.374925 | + | 0.266966i | ||||
\(155\) | −53.3253 | − | 28.2587i | −0.344034 | − | 0.182314i | ||||
\(156\) | 124.766 | + | 43.1901i | 0.799783 | + | 0.276860i | ||||
\(157\) | 18.1138 | + | 55.7484i | 0.115374 | + | 0.355085i | 0.992025 | − | 0.126042i | \(-0.0402274\pi\) |
−0.876651 | + | 0.481127i | \(0.840227\pi\) | |||||||
\(158\) | −159.727 | − | 146.604i | −1.01093 | − | 0.927876i | ||||
\(159\) | 90.9879 | + | 125.234i | 0.572251 | + | 0.787636i | ||||
\(160\) | −33.6879 | + | 52.4027i | −0.210549 | + | 0.327517i | ||||
\(161\) | −17.7549 | − | 30.7524i | −0.110279 | − | 0.191009i | ||||
\(162\) | 114.301 | − | 23.1569i | 0.705560 | − | 0.142944i | ||||
\(163\) | −115.724 | + | 159.280i | −0.709963 | + | 0.977180i | 0.289835 | + | 0.957077i | \(0.406400\pi\) |
−0.999798 | + | 0.0201036i | \(0.993600\pi\) | |||||||
\(164\) | 8.97552 | + | 104.571i | 0.0547288 | + | 0.637630i | ||||
\(165\) | 108.723 | + | 23.1097i | 0.658926 | + | 0.140059i | ||||
\(166\) | −139.440 | + | 123.162i | −0.839999 | + | 0.741938i | ||||
\(167\) | −42.8530 | − | 38.5850i | −0.256605 | − | 0.231048i | 0.530780 | − | 0.847509i | \(-0.321899\pi\) |
−0.787385 | + | 0.616462i | \(0.788566\pi\) | |||||||
\(168\) | −52.2382 | + | 84.7748i | −0.310942 | + | 0.504612i | ||||
\(169\) | 11.9861 | − | 114.040i | 0.0709237 | − | 0.674794i | ||||
\(170\) | 4.88278 | + | 15.5307i | 0.0287222 | + | 0.0913572i | ||||
\(171\) | −242.744 | − | 78.8723i | −1.41955 | − | 0.461241i | ||||
\(172\) | 89.6077 | − | 191.342i | 0.520975 | − | 1.11245i | ||||
\(173\) | −190.181 | − | 211.217i | −1.09931 | − | 1.22091i | −0.973460 | − | 0.228859i | \(-0.926500\pi\) |
−0.125851 | − | 0.992049i | \(-0.540166\pi\) | |||||||
\(174\) | −428.759 | − | 49.2082i | −2.46413 | − | 0.282805i | ||||
\(175\) | −58.6325 | + | 6.16253i | −0.335043 | + | 0.0352144i | ||||
\(176\) | 156.704 | − | 130.614i | 0.890365 | − | 0.742128i | ||||
\(177\) | −234.839 | + | 104.557i | −1.32677 | + | 0.590717i | ||||
\(178\) | −179.794 | − | 1.71690i | −1.01008 | − | 0.00964553i | ||||
\(179\) | 87.4498 | − | 196.415i | 0.488546 | − | 1.09729i | −0.486174 | − | 0.873862i | \(-0.661608\pi\) |
0.974720 | − | 0.223431i | \(-0.0717256\pi\) | |||||||
\(180\) | 84.5147 | − | 16.2838i | 0.469526 | − | 0.0904655i | ||||
\(181\) | 37.1897 | − | 64.4144i | 0.205468 | − | 0.355881i | −0.744814 | − | 0.667272i | \(-0.767462\pi\) |
0.950282 | + | 0.311392i | \(0.100795\pi\) | |||||||
\(182\) | −38.8486 | − | 13.0341i | −0.213454 | − | 0.0716160i | ||||
\(183\) | 100.025 | + | 470.581i | 0.546586 | + | 2.57148i | ||||
\(184\) | 57.6794 | + | 84.3692i | 0.313475 | + | 0.458528i | ||||
\(185\) | −29.0575 | −0.157068 | ||||||||
\(186\) | 256.564 | + | 106.102i | 1.37938 | + | 0.570442i | ||||
\(187\) | − | 53.3120i | − | 0.285091i | ||||||
\(188\) | −1.32180 | + | 69.2034i | −0.00703088 | + | 0.368103i | ||||
\(189\) | 24.9926 | − | 5.31234i | 0.132236 | − | 0.0281076i | ||||
\(190\) | 85.2423 | + | 28.5996i | 0.448644 | + | 0.150524i | ||||
\(191\) | −115.643 | − | 66.7666i | −0.605462 | − | 0.349564i | 0.165725 | − | 0.986172i | \(-0.447003\pi\) |
−0.771187 | + | 0.636608i | \(0.780337\pi\) | |||||||
\(192\) | 131.369 | − | 254.712i | 0.684215 | − | 1.32662i | ||||
\(193\) | −155.662 | − | 69.3053i | −0.806540 | − | 0.359095i | −0.0383077 | − | 0.999266i | \(-0.512197\pi\) |
−0.768232 | + | 0.640171i | \(0.778863\pi\) | |||||||
\(194\) | 234.618 | + | 2.24043i | 1.20937 | + | 0.0115486i | ||||
\(195\) | 26.1363 | + | 58.7030i | 0.134032 | + | 0.301041i | ||||
\(196\) | −85.2630 | + | 141.374i | −0.435015 | + | 0.721297i | ||||
\(197\) | 5.60674 | + | 53.3445i | 0.0284606 | + | 0.270784i | 0.999493 | + | 0.0318369i | \(0.0101357\pi\) |
−0.971032 | + | 0.238948i | \(0.923198\pi\) | |||||||
\(198\) | −280.008 | − | 32.1362i | −1.41418 | − | 0.162304i | ||||
\(199\) | 93.5387 | − | 84.2226i | 0.470044 | − | 0.423229i | −0.399765 | − | 0.916617i | \(-0.630908\pi\) |
0.869809 | + | 0.493388i | \(0.164242\pi\) | |||||||
\(200\) | 166.915 | − | 30.5101i | 0.834574 | − | 0.152551i | ||||
\(201\) | 65.2641 | − | 200.862i | 0.324697 | − | 0.999314i | ||||
\(202\) | 19.2129 | + | 61.1107i | 0.0951133 | + | 0.302528i | ||||
\(203\) | 133.209 | + | 14.0009i | 0.656204 | + | 0.0689698i | ||||
\(204\) | −29.1508 | − | 68.9903i | −0.142896 | − | 0.338188i | ||||
\(205\) | −34.1802 | + | 37.9609i | −0.166732 | + | 0.185175i | ||||
\(206\) | −77.3141 | + | 68.2885i | −0.375311 | + | 0.331498i | ||||
\(207\) | 29.3572 | − | 138.115i | 0.141822 | − | 0.667222i | ||||
\(208\) | 114.338 | + | 28.9075i | 0.549703 | + | 0.138979i | ||||
\(209\) | −238.200 | − | 173.062i | −1.13971 | − | 0.828048i | ||||
\(210\) | −47.4987 | + | 9.62305i | −0.226184 | + | 0.0458240i | ||||
\(211\) | 339.321 | − | 195.907i | 1.60816 | − | 0.928470i | 0.618374 | − | 0.785884i | \(-0.287792\pi\) |
0.989782 | − | 0.142586i | \(-0.0455416\pi\) | |||||||
\(212\) | 90.5436 | + | 104.505i | 0.427092 | + | 0.492949i | ||||
\(213\) | −139.953 | + | 101.682i | −0.657055 | + | 0.477379i | ||||
\(214\) | 210.347 | + | 193.066i | 0.982931 | + | 0.902178i | ||||
\(215\) | 97.7985 | − | 31.7766i | 0.454877 | − | 0.147798i | ||||
\(216\) | −70.5614 | + | 20.7120i | −0.326673 | + | 0.0958890i | ||||
\(217\) | −79.9380 | − | 32.1680i | −0.368378 | − | 0.148240i | ||||
\(218\) | −222.863 | + | 158.690i | −1.02231 | + | 0.727937i | ||||
\(219\) | −568.374 | + | 184.676i | −2.59532 | + | 0.843269i | ||||
\(220\) | 98.5261 | + | 12.2620i | 0.447846 | + | 0.0557364i | ||||
\(221\) | 24.9343 | − | 18.1158i | 0.112825 | − | 0.0819720i | ||||
\(222\) | 133.073 | − | 12.7030i | 0.599427 | − | 0.0572208i | ||||
\(223\) | 296.848 | − | 171.385i | 1.33116 | − | 0.768545i | 0.345681 | − | 0.938352i | \(-0.387648\pi\) |
0.985477 | + | 0.169807i | \(0.0543145\pi\) | |||||||
\(224\) | −40.0150 | + | 79.4381i | −0.178639 | + | 0.354634i | ||||
\(225\) | −189.657 | − | 137.794i | −0.842922 | − | 0.612419i | ||||
\(226\) | −73.9009 | + | 125.223i | −0.326995 | + | 0.554085i | ||||
\(227\) | −55.7879 | + | 262.461i | −0.245762 | + | 1.15622i | 0.666146 | + | 0.745822i | \(0.267943\pi\) |
−0.911907 | + | 0.410396i | \(0.865390\pi\) | |||||||
\(228\) | −402.881 | − | 93.7106i | −1.76702 | − | 0.411011i | ||||
\(229\) | 82.2978 | − | 91.4009i | 0.359379 | − | 0.399131i | −0.536158 | − | 0.844118i | \(-0.680125\pi\) |
0.895537 | + | 0.444987i | \(0.146792\pi\) | |||||||
\(230\) | −10.8058 | + | 48.5529i | −0.0469818 | + | 0.211099i | ||||
\(231\) | 157.832 | + | 16.5888i | 0.683257 | + | 0.0718132i | ||||
\(232\) | −385.345 | − | 11.0420i | −1.66097 | − | 0.0475947i | ||||
\(233\) | −34.0681 | + | 104.851i | −0.146215 | + | 0.450004i | −0.997165 | − | 0.0752425i | \(-0.976027\pi\) |
0.850950 | + | 0.525247i | \(0.176027\pi\) | |||||||
\(234\) | −80.1187 | − | 141.881i | −0.342388 | − | 0.606331i | ||||
\(235\) | −25.0344 | + | 22.5411i | −0.106529 | + | 0.0959194i | ||||
\(236\) | −201.014 | + | 110.992i | −0.851755 | + | 0.470306i | ||||
\(237\) | 50.7418 | + | 482.776i | 0.214100 | + | 2.03703i | ||||
\(238\) | 9.25130 | + | 21.3245i | 0.0388710 | + | 0.0895986i | ||||
\(239\) | 127.734 | + | 286.896i | 0.534453 | + | 1.20040i | 0.955939 | + | 0.293567i | \(0.0948423\pi\) |
−0.421485 | + | 0.906835i | \(0.638491\pi\) | |||||||
\(240\) | 134.206 | − | 38.0057i | 0.559193 | − | 0.158357i | ||||
\(241\) | −186.520 | − | 83.0438i | −0.773940 | − | 0.344580i | −0.0185262 | − | 0.999828i | \(-0.505897\pi\) |
−0.755414 | + | 0.655248i | \(0.772564\pi\) | |||||||
\(242\) | −75.6146 | − | 34.5347i | −0.312457 | − | 0.142705i | ||||
\(243\) | −297.784 | − | 171.925i | −1.22545 | − | 0.707512i | ||||
\(244\) | 124.967 | + | 411.166i | 0.512160 | + | 1.68511i | ||||
\(245\) | −78.5952 | + | 16.7059i | −0.320797 | + | 0.0681874i | ||||
\(246\) | 139.937 | − | 188.789i | 0.568850 | − | 0.767436i | ||||
\(247\) | − | 170.215i | − | 0.689129i | ||||||
\(248\) | 236.441 | + | 74.8302i | 0.953392 | + | 0.301735i | ||||
\(249\) | 416.555 | 1.67291 | ||||||||
\(250\) | 144.543 | + | 107.140i | 0.578173 | + | 0.428561i | ||||
\(251\) | 22.2739 | + | 104.790i | 0.0887405 | + | 0.417491i | 0.999984 | + | 0.00562351i | \(0.00179003\pi\) |
−0.911244 | + | 0.411868i | \(0.864877\pi\) | |||||||
\(252\) | 117.578 | − | 35.7359i | 0.466580 | − | 0.141809i | ||||
\(253\) | 81.4419 | − | 141.061i | 0.321905 | − | 0.557555i | ||||
\(254\) | −82.9789 | + | 181.685i | −0.326689 | + | 0.715294i | ||||
\(255\) | 14.8262 | − | 33.3002i | 0.0581420 | − | 0.130589i | ||||
\(256\) | 97.4587 | − | 236.723i | 0.380698 | − | 0.924699i | ||||
\(257\) | 259.937 | − | 115.731i | 1.01143 | − | 0.450316i | 0.166982 | − | 0.985960i | \(-0.446598\pi\) |
0.844444 | + | 0.535644i | \(0.179931\pi\) | |||||||
\(258\) | −433.989 | + | 188.280i | −1.68213 | + | 0.729766i | ||||
\(259\) | −41.2609 | + | 4.33670i | −0.159309 | + | 0.0167440i | ||||
\(260\) | 27.7449 | + | 50.2479i | 0.106711 | + | 0.193261i | ||||
\(261\) | 356.385 | + | 395.806i | 1.36546 | + | 1.51650i | ||||
\(262\) | 310.152 | − | 175.139i | 1.18379 | − | 0.668470i | ||||
\(263\) | 184.992 | + | 60.1075i | 0.703391 | + | 0.228545i | 0.638807 | − | 0.769367i | \(-0.279428\pi\) |
0.0645834 | + | 0.997912i | \(0.479428\pi\) | |||||||
\(264\) | −456.574 | − | 13.0830i | −1.72945 | − | 0.0495569i | ||||
\(265\) | −7.03444 | + | 66.9282i | −0.0265450 | + | 0.252559i | ||||
\(266\) | 125.310 | + | 27.8887i | 0.471091 | + | 0.104845i | ||||
\(267\) | 299.176 | + | 269.379i | 1.12051 | + | 1.00891i | ||||
\(268\) | 42.7401 | − | 183.748i | 0.159478 | − | 0.685628i | ||||
\(269\) | −339.900 | − | 72.2479i | −1.26357 | − | 0.268579i | −0.473059 | − | 0.881031i | \(-0.656850\pi\) |
−0.790508 | + | 0.612451i | \(0.790184\pi\) | |||||||
\(270\) | −30.8234 | − | 18.1905i | −0.114161 | − | 0.0673724i | ||||
\(271\) | 125.277 | − | 172.429i | 0.462277 | − | 0.636270i | −0.512702 | − | 0.858567i | \(-0.671355\pi\) |
0.974979 | + | 0.222297i | \(0.0713553\pi\) | |||||||
\(272\) | −31.2136 | − | 59.1731i | −0.114756 | − | 0.217548i | ||||
\(273\) | 45.8739 | + | 79.4560i | 0.168036 | + | 0.291047i | ||||
\(274\) | −15.9370 | − | 166.951i | −0.0581643 | − | 0.609311i | ||||
\(275\) | −158.954 | − | 218.782i | −0.578016 | − | 0.795570i | ||||
\(276\) | 28.2609 | − | 227.078i | 0.102394 | − | 0.822746i | ||||
\(277\) | 161.922 | + | 498.346i | 0.584557 | + | 1.79908i | 0.601041 | + | 0.799218i | \(0.294753\pi\) |
−0.0164840 | + | 0.999864i | \(0.505247\pi\) | |||||||
\(278\) | −72.1976 | − | 101.394i | −0.259704 | − | 0.364725i | ||||
\(279\) | −150.629 | − | 307.750i | −0.539888 | − | 1.10305i | ||||
\(280\) | −41.5377 | + | 12.1926i | −0.148349 | + | 0.0435451i | ||||
\(281\) | 119.638 | + | 368.209i | 0.425759 | + | 1.31035i | 0.902266 | + | 0.431181i | \(0.141903\pi\) |
−0.476507 | + | 0.879171i | \(0.658097\pi\) | |||||||
\(282\) | 104.794 | − | 114.174i | 0.371610 | − | 0.404872i | ||||
\(283\) | −104.316 | − | 143.578i | −0.368606 | − | 0.507343i | 0.583915 | − | 0.811815i | \(-0.301520\pi\) |
−0.952521 | + | 0.304472i | \(0.901520\pi\) | |||||||
\(284\) | −116.788 | + | 101.185i | −0.411224 | + | 0.356286i | ||||
\(285\) | −100.657 | − | 174.344i | −0.353183 | − | 0.611732i | ||||
\(286\) | −37.3220 | − | 184.219i | −0.130496 | − | 0.644121i | ||||
\(287\) | −42.8694 | + | 59.0047i | −0.149371 | + | 0.205591i | ||||
\(288\) | −329.608 | + | 128.273i | −1.14447 | + | 0.445392i | ||||
\(289\) | 265.583 | + | 56.4515i | 0.918973 | + | 0.195334i | ||||
\(290\) | −124.207 | − | 140.623i | −0.428300 | − | 0.484907i | ||||
\(291\) | −390.401 | − | 351.519i | −1.34158 | − | 1.20797i | ||||
\(292\) | −491.733 | + | 207.775i | −1.68402 | + | 0.711557i | ||||
\(293\) | 8.49106 | − | 80.7870i | 0.0289797 | − | 0.275724i | −0.970430 | − | 0.241381i | \(-0.922400\pi\) |
0.999410 | − | 0.0343425i | \(-0.0109337\pi\) | |||||||
\(294\) | 352.634 | − | 110.866i | 1.19943 | − | 0.377096i | ||||
\(295\) | −106.286 | − | 34.5344i | −0.360291 | − | 0.117066i | ||||
\(296\) | 117.461 | − | 21.4706i | 0.396829 | − | 0.0725358i | ||||
\(297\) | 78.4236 | + | 87.0983i | 0.264053 | + | 0.293260i | ||||
\(298\) | 64.0195 | − | 557.813i | 0.214830 | − | 1.87186i | ||||
\(299\) | 93.6497 | − | 9.84298i | 0.313210 | − | 0.0329197i | ||||
\(300\) | −325.330 | − | 196.207i | −1.08443 | − | 0.654023i | ||||
\(301\) | 134.129 | − | 59.7179i | 0.445610 | − | 0.198398i | ||||
\(302\) | −4.14327 | + | 433.884i | −0.0137194 | + | 1.43670i | ||||
\(303\) | 58.3385 | − | 131.030i | 0.192536 | − | 0.432444i | ||||
\(304\) | −365.713 | − | 52.6250i | −1.20300 | − | 0.173108i | ||||
\(305\) | −104.576 | + | 181.130i | −0.342871 | + | 0.593870i | ||||
\(306\) | −29.4006 | + | 87.6295i | −0.0960802 | + | 0.286371i | ||||
\(307\) | −23.8190 | − | 112.060i | −0.0775865 | − | 0.365016i | 0.922177 | − | 0.386768i | \(-0.126409\pi\) |
−0.999763 | + | 0.0217527i | \(0.993075\pi\) | |||||||
\(308\) | 141.734 | + | 2.70717i | 0.460177 | + | 0.00878951i | ||||
\(309\) | 230.964 | 0.747456 | ||||||||
\(310\) | 52.0245 | + | 108.913i | 0.167821 | + | 0.351332i | ||||
\(311\) | − | 152.293i | − | 0.489689i | −0.969562 | − | 0.244845i | \(-0.921263\pi\) | ||
0.969562 | − | 0.244845i | \(-0.0787370\pi\) | |||||||
\(312\) | −149.028 | − | 217.987i | −0.477654 | − | 0.698678i | ||||
\(313\) | 286.840 | − | 60.9697i | 0.916421 | − | 0.194791i | 0.274522 | − | 0.961581i | \(-0.411480\pi\) |
0.641899 | + | 0.766789i | \(0.278147\pi\) | |||||||
\(314\) | 37.2905 | − | 111.146i | 0.118760 | − | 0.353967i | ||||
\(315\) | 51.7965 | + | 29.9047i | 0.164433 | + | 0.0949357i | ||||
\(316\) | 82.0375 | + | 425.784i | 0.259612 | + | 1.34742i | ||||
\(317\) | −10.3888 | − | 4.62539i | −0.0327722 | − | 0.0145911i | 0.390285 | − | 0.920694i | \(-0.372376\pi\) |
−0.423057 | + | 0.906103i | \(0.639043\pi\) | |||||||
\(318\) | 2.95628 | − | 309.582i | 0.00929647 | − | 0.973527i | ||||
\(319\) | 249.898 | + | 561.281i | 0.783381 | + | 1.75950i | ||||
\(320\) | 116.537 | − | 44.0760i | 0.364179 | − | 0.137738i | ||||
\(321\) | −66.8229 | − | 635.777i | −0.208171 | − | 1.98061i | ||||
\(322\) | −8.09767 | + | 70.5564i | −0.0251480 | + | 0.219119i | ||||
\(323\) | −71.7559 | + | 64.6093i | −0.222154 | + | 0.200029i | ||||
\(324\) | −211.230 | − | 98.9214i | −0.651944 | − | 0.305313i | ||||
\(325\) | 48.3115 | − | 148.687i | 0.148651 | − | 0.457500i | ||||
\(326\) | 375.635 | − | 118.098i | 1.15226 | − | 0.362263i | ||||
\(327\) | 609.212 | + | 64.0308i | 1.86303 | + | 0.195813i | ||||
\(328\) | 110.120 | − | 178.708i | 0.335731 | − | 0.544841i | ||||
\(329\) | −32.1840 | + | 35.7440i | −0.0978237 | + | 0.108644i | ||||
\(330\) | −147.166 | − | 166.616i | −0.445957 | − | 0.504898i | ||||
\(331\) | 18.1270 | − | 85.2806i | 0.0547642 | − | 0.257645i | −0.942245 | − | 0.334923i | \(-0.891290\pi\) |
0.997010 | + | 0.0772780i | \(0.0246229\pi\) | |||||||
\(332\) | 370.724 | − | 31.8199i | 1.11664 | − | 0.0958430i | ||||
\(333\) | −133.466 | − | 96.9686i | −0.400798 | − | 0.291197i | ||||
\(334\) | 22.8999 | + | 113.032i | 0.0685626 | + | 0.338420i | ||||
\(335\) | 79.5156 | − | 45.9084i | 0.237360 | − | 0.137040i | ||||
\(336\) | 184.897 | − | 73.9967i | 0.550289 | − | 0.220228i | ||||
\(337\) | 227.924 | − | 165.597i | 0.676333 | − | 0.491385i | −0.195806 | − | 0.980643i | \(-0.562732\pi\) |
0.872139 | + | 0.489258i | \(0.162732\pi\) | |||||||
\(338\) | −155.077 | + | 168.957i | −0.458807 | + | 0.499874i | ||||
\(339\) | 309.627 | − | 100.604i | 0.913353 | − | 0.296766i | ||||
\(340\) | 10.6512 | − | 30.7690i | 0.0313272 | − | 0.0904970i | ||||
\(341\) | −55.5517 | − | 391.328i | −0.162908 | − | 1.14759i | ||||
\(342\) | 296.091 | + | 415.827i | 0.865762 | + | 1.21587i | ||||
\(343\) | −238.644 | + | 77.5402i | −0.695755 | + | 0.226065i | ||||
\(344\) | −371.858 | + | 200.716i | −1.08098 | + | 0.583478i | ||||
\(345\) | 90.1005 | − | 65.4618i | 0.261161 | − | 0.189744i | ||||
\(346\) | 54.0174 | + | 565.869i | 0.156120 | + | 1.63546i | ||||
\(347\) | 242.862 | − | 140.216i | 0.699889 | − | 0.404081i | −0.107417 | − | 0.994214i | \(-0.534258\pi\) |
0.807306 | + | 0.590133i | \(0.200925\pi\) | |||||||
\(348\) | 630.297 | + | 589.703i | 1.81120 | + | 1.69455i | ||||
\(349\) | −156.636 | − | 113.803i | −0.448814 | − | 0.326082i | 0.340314 | − | 0.940312i | \(-0.389467\pi\) |
−0.789127 | + | 0.614230i | \(0.789467\pi\) | |||||||
\(350\) | 101.546 | + | 59.9279i | 0.290132 | + | 0.171222i | ||||
\(351\) | −14.0873 | + | 66.2758i | −0.0401349 | + | 0.188820i | ||||
\(352\) | −407.340 | + | 23.2333i | −1.15721 | + | 0.0660036i | ||||
\(353\) | 12.7175 | − | 14.1242i | 0.0360270 | − | 0.0400120i | −0.724862 | − | 0.688894i | \(-0.758097\pi\) |
0.760889 | + | 0.648882i | \(0.224763\pi\) | |||||||
\(354\) | 501.847 | + | 111.690i | 1.41765 | + | 0.315508i | ||||
\(355\) | −74.7942 | − | 7.86119i | −0.210688 | − | 0.0221442i | ||||
\(356\) | 286.837 | + | 216.888i | 0.805722 | + | 0.609235i | ||||
\(357\) | 16.0829 | − | 49.4981i | 0.0450502 | − | 0.138650i | ||||
\(358\) | −374.433 | + | 211.438i | −1.04590 | + | 0.590608i | ||||
\(359\) | −198.377 | + | 178.619i | −0.552582 | + | 0.497547i | −0.897457 | − | 0.441101i | \(-0.854588\pi\) |
0.344875 | + | 0.938649i | \(0.387921\pi\) | |||||||
\(360\) | −155.186 | − | 74.4905i | −0.431073 | − | 0.206918i | ||||
\(361\) | 18.0065 | + | 171.321i | 0.0498796 | + | 0.474573i | ||||
\(362\) | −136.469 | + | 59.2052i | −0.376987 | + | 0.163550i | ||||
\(363\) | 75.7035 | + | 170.033i | 0.208550 | + | 0.468410i | ||||
\(364\) | 46.8963 | + | 67.2098i | 0.128836 | + | 0.184642i | ||||
\(365\) | −237.349 | − | 105.675i | −0.650272 | − | 0.289520i | ||||
\(366\) | 399.733 | − | 875.226i | 1.09217 | − | 2.39133i | ||||
\(367\) | −514.994 | − | 297.332i | −1.40325 | − | 0.810168i | −0.408528 | − | 0.912746i | \(-0.633958\pi\) |
−0.994725 | + | 0.102578i | \(0.967291\pi\) | |||||||
\(368\) | 7.80543 | − | 204.253i | 0.0212104 | − | 0.555036i | ||||
\(369\) | −283.675 | + | 60.2970i | −0.768767 | + | 0.163407i | ||||
\(370\) | 46.6878 | + | 34.6066i | 0.126183 | + | 0.0935313i | ||||
\(371\) | 96.0861i | 0.258992i | ||||||||
\(372\) | −285.866 | − | 476.038i | −0.768457 | − | 1.27967i | ||||
\(373\) | −406.698 | −1.09034 | −0.545172 | − | 0.838325i | \(-0.683535\pi\) | ||||
−0.545172 | + | 0.838325i | \(0.683535\pi\) | |||||||
\(374\) | −63.4928 | + | 85.6582i | −0.169767 | + | 0.229033i | ||||
\(375\) | −83.7566 | − | 394.044i | −0.223351 | − | 1.05078i | ||||
\(376\) | 84.5428 | − | 109.617i | 0.224848 | − | 0.291535i | ||||
\(377\) | −177.596 | + | 307.606i | −0.471078 | + | 0.815931i | ||||
\(378\) | −46.4833 | − | 21.2298i | −0.122972 | − | 0.0561636i | ||||
\(379\) | 47.2020 | − | 106.018i | 0.124544 | − | 0.279730i | −0.840503 | − | 0.541806i | \(-0.817741\pi\) |
0.965047 | + | 0.262077i | \(0.0844073\pi\) | |||||||
\(380\) | −102.901 | − | 147.473i | −0.270791 | − | 0.388086i | ||||
\(381\) | 408.550 | − | 181.898i | 1.07231 | − | 0.477423i | ||||
\(382\) | 106.291 | + | 245.004i | 0.278249 | + | 0.641371i | ||||
\(383\) | −229.082 | + | 24.0775i | −0.598125 | + | 0.0628655i | −0.398753 | − | 0.917058i | \(-0.630557\pi\) |
−0.199372 | + | 0.979924i | \(0.563890\pi\) | |||||||
\(384\) | −514.429 | + | 252.798i | −1.33966 | + | 0.658329i | ||||
\(385\) | 46.1660 | + | 51.2725i | 0.119912 | + | 0.133175i | ||||
\(386\) | 167.568 | + | 296.744i | 0.434113 | + | 0.768766i | ||||
\(387\) | 555.246 | + | 180.410i | 1.43474 | + | 0.466177i | ||||
\(388\) | −374.300 | − | 283.022i | −0.964691 | − | 0.729437i | ||||
\(389\) | −23.2427 | + | 221.140i | −0.0597499 | + | 0.568482i | 0.923163 | + | 0.384409i | \(0.125595\pi\) |
−0.982913 | + | 0.184073i | \(0.941072\pi\) | |||||||
\(390\) | 27.9193 | − | 125.448i | 0.0715880 | − | 0.321660i | ||||
\(391\) | −39.6965 | − | 35.7429i | −0.101525 | − | 0.0914140i | ||||
\(392\) | 305.367 | − | 125.605i | 0.778998 | − | 0.320422i | ||||
\(393\) | −780.077 | − | 165.810i | −1.98493 | − | 0.421910i | ||||
\(394\) | 54.5231 | − | 92.3880i | 0.138383 | − | 0.234487i | ||||
\(395\) | −124.045 | + | 170.734i | −0.314039 | + | 0.432237i | ||||
\(396\) | 411.626 | + | 385.115i | 1.03946 | + | 0.972513i | ||||
\(397\) | −280.531 | − | 485.893i | −0.706626 | − | 1.22391i | −0.966101 | − | 0.258163i | \(-0.916883\pi\) |
0.259475 | − | 0.965750i | \(-0.416450\pi\) | |||||||
\(398\) | −250.598 | + | 23.9219i | −0.629644 | + | 0.0601053i | ||||
\(399\) | −168.951 | − | 232.540i | −0.423435 | − | 0.582808i | ||||
\(400\) | −304.524 | − | 149.768i | −0.761311 | − | 0.374421i | ||||
\(401\) | 99.6779 | + | 306.777i | 0.248573 | + | 0.765030i | 0.995028 | + | 0.0995940i | \(0.0317544\pi\) |
−0.746455 | + | 0.665436i | \(0.768246\pi\) | |||||||
\(402\) | −344.082 | + | 245.005i | −0.855926 | + | 0.609465i | ||||
\(403\) | 164.149 | − | 158.958i | 0.407318 | − | 0.394437i | ||||
\(404\) | 41.9108 | − | 121.071i | 0.103740 | − | 0.299680i | ||||
\(405\) | −35.0795 | − | 107.963i | −0.0866159 | − | 0.266576i | ||||
\(406\) | −197.358 | − | 181.144i | −0.486103 | − | 0.446167i | ||||
\(407\) | −111.859 | − | 153.961i | −0.274839 | − | 0.378283i | ||||
\(408\) | −35.3276 | + | 145.567i | −0.0865871 | + | 0.356782i | ||||
\(409\) | 376.592 | + | 652.277i | 0.920764 | + | 1.59481i | 0.798236 | + | 0.602345i | \(0.205767\pi\) |
0.122528 | + | 0.992465i | \(0.460900\pi\) | |||||||
\(410\) | 100.129 | − | 20.2857i | 0.244216 | − | 0.0494772i | ||||
\(411\) | −220.717 | + | 303.790i | −0.537023 | + | 0.739149i | ||||
\(412\) | 205.553 | − | 17.6429i | 0.498914 | − | 0.0428226i | ||||
\(413\) | −156.077 | − | 33.1752i | −0.377911 | − | 0.0803274i | ||||
\(414\) | −211.660 | + | 186.951i | −0.511255 | + | 0.451571i | ||||
\(415\) | 134.578 | + | 121.175i | 0.324285 | + | 0.291988i | ||||
\(416\) | −149.283 | − | 182.620i | −0.358854 | − | 0.438990i | ||||
\(417\) | −29.1314 | + | 277.167i | −0.0698595 | + | 0.664669i | ||||
\(418\) | 176.612 | + | 561.753i | 0.422517 | + | 1.34391i | ||||
\(419\) | 265.116 | + | 86.1415i | 0.632736 | + | 0.205588i | 0.607787 | − | 0.794100i | \(-0.292058\pi\) |
0.0249492 | + | 0.999689i | \(0.492058\pi\) | |||||||
\(420\) | 87.7785 | + | 41.1077i | 0.208997 | + | 0.0978755i | ||||
\(421\) | 192.838 | + | 214.169i | 0.458049 | + | 0.508714i | 0.927284 | − | 0.374359i | \(-0.122137\pi\) |
−0.469235 | + | 0.883073i | \(0.655470\pi\) | |||||||
\(422\) | −778.518 | − | 89.3495i | −1.84483 | − | 0.211729i | ||||
\(423\) | −190.209 | + | 19.9918i | −0.449667 | + | 0.0472619i | ||||
\(424\) | −21.0174 | − | 275.747i | −0.0495693 | − | 0.650346i | ||||
\(425\) | −81.0186 | + | 36.0718i | −0.190632 | + | 0.0848748i | ||||
\(426\) | 345.967 | + | 3.30373i | 0.812128 | + | 0.00775523i | ||||
\(427\) | −121.462 | + | 272.807i | −0.284454 | + | 0.638893i | ||||
\(428\) | −108.037 | − | 560.723i | −0.252422 | − | 1.31010i | ||||
\(429\) | −210.424 | + | 364.465i | −0.490499 | + | 0.849569i | ||||
\(430\) | −194.981 | − | 65.4181i | −0.453445 | − | 0.152135i | ||||
\(431\) | 96.4661 | + | 453.837i | 0.223819 | + | 1.05299i | 0.936274 | + | 0.351269i | \(0.114250\pi\) |
−0.712455 | + | 0.701718i | \(0.752417\pi\) | |||||||
\(432\) | 138.041 | + | 50.7575i | 0.319539 | + | 0.117494i | ||||
\(433\) | 206.318 | 0.476485 | 0.238243 | − | 0.971206i | \(-0.423429\pi\) | ||||
0.238243 | + | 0.971206i | \(0.423429\pi\) | |||||||
\(434\) | 90.1281 | + | 146.889i | 0.207668 | + | 0.338454i | ||||
\(435\) | 420.090i | 0.965723i | ||||||||
\(436\) | 547.076 | + | 10.4493i | 1.25476 | + | 0.0239663i | ||||
\(437\) | −288.564 | + | 61.3361i | −0.660328 | + | 0.140357i | ||||
\(438\) | 1133.17 | + | 380.190i | 2.58715 | + | 0.868013i | ||||
\(439\) | 368.310 | + | 212.644i | 0.838974 | + | 0.484382i | 0.856915 | − | 0.515457i | \(-0.172378\pi\) |
−0.0179411 | + | 0.999839i | \(0.505711\pi\) | |||||||
\(440\) | −143.702 | − | 137.043i | −0.326595 | − | 0.311462i | ||||
\(441\) | −416.750 | − | 185.549i | −0.945011 | − | 0.420746i | ||||
\(442\) | −61.6381 | − | 0.588599i | −0.139453 | − | 0.00133167i | ||||
\(443\) | −144.318 | − | 324.144i | −0.325775 | − | 0.731702i | 0.674202 | − | 0.738547i | \(-0.264488\pi\) |
−0.999977 | + | 0.00684525i | \(0.997821\pi\) | |||||||
\(444\) | −228.941 | − | 138.075i | −0.515634 | − | 0.310979i | ||||
\(445\) | 18.2944 | + | 174.059i | 0.0411109 | + | 0.391144i | ||||
\(446\) | −681.071 | − | 78.1656i | −1.52707 | − | 0.175259i | ||||
\(447\) | −934.245 | + | 841.198i | −2.09003 | + | 1.88187i | ||||
\(448\) | 158.902 | − | 79.9794i | 0.354691 | − | 0.178525i | ||||
\(449\) | −198.349 | + | 610.455i | −0.441757 | + | 1.35959i | 0.444245 | + | 0.895905i | \(0.353472\pi\) |
−0.886002 | + | 0.463682i | \(0.846528\pi\) | |||||||
\(450\) | 140.621 | + | 447.274i | 0.312491 | + | 0.993943i | ||||
\(451\) | −332.715 | − | 34.9698i | −0.737728 | − | 0.0775383i | ||||
\(452\) | 267.876 | − | 113.187i | 0.592646 | − | 0.250414i | ||||
\(453\) | 650.071 | − | 721.977i | 1.43504 | − | 1.59377i | ||||
\(454\) | 402.219 | − | 355.264i | 0.885946 | − | 0.782521i | ||||
\(455\) | −8.29287 | + | 39.0149i | −0.0182261 | + | 0.0857470i | ||||
\(456\) | 535.717 | + | 630.386i | 1.17482 | + | 1.38243i | ||||
\(457\) | −258.106 | − | 187.525i | −0.564784 | − | 0.410339i | 0.268423 | − | 0.963301i | \(-0.413498\pi\) |
−0.833207 | + | 0.552962i | \(0.813498\pi\) | |||||||
\(458\) | −241.086 | + | 48.8431i | −0.526389 | + | 0.106644i | ||||
\(459\) | 33.2864 | − | 19.2179i | 0.0725195 | − | 0.0418691i | ||||
\(460\) | 75.1869 | − | 65.1422i | 0.163450 | − | 0.141613i | ||||
\(461\) | 402.528 | − | 292.453i | 0.873162 | − | 0.634389i | −0.0582716 | − | 0.998301i | \(-0.518559\pi\) |
0.931434 | + | 0.363911i | \(0.118559\pi\) | |||||||
\(462\) | −233.838 | − | 214.627i | −0.506143 | − | 0.464561i | ||||
\(463\) | −344.220 | + | 111.844i | −0.743456 | + | 0.241563i | −0.656163 | − | 0.754619i | \(-0.727822\pi\) |
−0.0872927 | + | 0.996183i | \(0.527822\pi\) | |||||||
\(464\) | 605.997 | + | 476.675i | 1.30603 | + | 1.02732i | ||||
\(465\) | 74.1303 | − | 259.884i | 0.159420 | − | 0.558890i | ||||
\(466\) | 179.612 | − | 127.894i | 0.385435 | − | 0.274450i | ||||
\(467\) | 455.997 | − | 148.162i | 0.976439 | − | 0.317264i | 0.223027 | − | 0.974812i | \(-0.428406\pi\) |
0.753413 | + | 0.657548i | \(0.228406\pi\) | |||||||
\(468\) | −40.2466 | + | 323.384i | −0.0859970 | + | 0.690992i | ||||
\(469\) | 106.058 | − | 77.0559i | 0.226137 | − | 0.164298i | ||||
\(470\) | 67.0693 | − | 6.40238i | 0.142701 | − | 0.0136221i | ||||
\(471\) | −227.323 | + | 131.245i | −0.482639 | + | 0.278652i | ||||
\(472\) | 455.165 | + | 61.0663i | 0.964332 | + | 0.129378i | ||||
\(473\) | 544.852 | + | 395.858i | 1.15191 | + | 0.836909i | ||||
\(474\) | 493.442 | − | 836.125i | 1.04102 | − | 1.76398i | ||||
\(475\) | −101.834 | + | 479.090i | −0.214387 | + | 1.00861i | ||||
\(476\) | 10.5324 | − | 45.2808i | 0.0221268 | − | 0.0951276i | ||||
\(477\) | −255.658 | + | 283.937i | −0.535971 | + | 0.595256i | ||||
\(478\) | 136.449 | − | 613.093i | 0.285457 | − | 1.28262i | ||||
\(479\) | −311.191 | − | 32.7075i | −0.649668 | − | 0.0682828i | −0.226038 | − | 0.974118i | \(-0.572577\pi\) |
−0.423629 | + | 0.905836i | \(0.639244\pi\) | |||||||
\(480\) | −260.897 | − | 98.7701i | −0.543536 | − | 0.205771i | ||||
\(481\) | 33.9978 | − | 104.634i | 0.0706814 | − | 0.217535i | ||||
\(482\) | 200.785 | + | 355.568i | 0.416566 | + | 0.737693i | ||||
\(483\) | 118.170 | − | 106.401i | 0.244659 | − | 0.220292i | ||||
\(484\) | 80.3630 | + | 145.543i | 0.166039 | + | 0.300708i | ||||
\(485\) | −23.8727 | − | 227.134i | −0.0492221 | − | 0.468317i | ||||
\(486\) | 273.702 | + | 630.889i | 0.563172 | + | 1.29813i | ||||
\(487\) | 58.2140 | + | 130.751i | 0.119536 | + | 0.268482i | 0.963397 | − | 0.268080i | \(-0.0863893\pi\) |
−0.843861 | + | 0.536562i | \(0.819723\pi\) | |||||||
\(488\) | 288.897 | − | 809.467i | 0.592001 | − | 1.65874i | ||||
\(489\) | −805.419 | − | 358.596i | −1.64707 | − | 0.733324i | ||||
\(490\) | 146.178 | + | 66.7623i | 0.298322 | + | 0.136250i | ||||
\(491\) | −182.159 | − | 105.170i | −0.370997 | − | 0.214195i | 0.302897 | − | 0.953023i | \(-0.402046\pi\) |
−0.673894 | + | 0.738828i | \(0.735379\pi\) | |||||||
\(492\) | −449.684 | + | 136.674i | −0.913992 | + | 0.277792i | ||||
\(493\) | 197.086 | − | 41.8919i | 0.399768 | − | 0.0849734i | ||||
\(494\) | −202.720 | + | 273.490i | −0.410365 | + | 0.553624i | ||||
\(495\) | 274.346i | 0.554235i | ||||||||
\(496\) | −290.778 | − | 401.826i | −0.586246 | − | 0.810133i | ||||
\(497\) | −107.379 | −0.216054 | ||||||||
\(498\) | −669.293 | − | 496.103i | −1.34396 | − | 0.996191i | ||||
\(499\) | −9.12993 | − | 42.9530i | −0.0182965 | − | 0.0860781i | 0.968052 | − | 0.250749i | \(-0.0806770\pi\) |
−0.986349 | + | 0.164671i | \(0.947344\pi\) | |||||||
\(500\) | −104.642 | − | 344.292i | −0.209284 | − | 0.688585i | ||||
\(501\) | 129.111 | − | 223.627i | 0.257707 | − | 0.446362i | ||||
\(502\) | 89.0136 | − | 194.898i | 0.177318 | − | 0.388242i | ||||
\(503\) | 20.5014 | − | 46.0470i | 0.0407583 | − | 0.0915447i | −0.892019 | − | 0.451998i | \(-0.850711\pi\) |
0.932777 | + | 0.360453i | \(0.117378\pi\) | |||||||
\(504\) | −231.477 | − | 82.6137i | −0.459281 | − | 0.163916i | ||||
\(505\) | 56.9642 | − | 25.3621i | 0.112800 | − | 0.0502220i | ||||
\(506\) | −298.855 | + | 129.654i | −0.590623 | + | 0.256233i | ||||
\(507\) | 510.676 | − | 53.6742i | 1.00725 | − | 0.105866i | ||||
\(508\) | 349.706 | − | 193.094i | 0.688397 | − | 0.380106i | ||||
\(509\) | 79.7336 | + | 88.5531i | 0.156647 | + | 0.173975i | 0.816360 | − | 0.577543i | \(-0.195989\pi\) |
−0.659712 | + | 0.751518i | \(0.729322\pi\) | |||||||
\(510\) | −63.4812 | + | 35.8471i | −0.124473 | + | 0.0702884i | ||||
\(511\) | −352.801 | − | 114.632i | −0.690413 | − | 0.224329i | ||||
\(512\) | −438.520 | + | 264.281i | −0.856484 | + | 0.516174i | ||||
\(513\) | 22.1886 | − | 211.110i | 0.0432526 | − | 0.411521i | ||||
\(514\) | −555.481 | − | 123.627i | −1.08070 | − | 0.240519i | ||||
\(515\) | 74.6186 | + | 67.1869i | 0.144891 | + | 0.130460i | ||||
\(516\) | 921.540 | + | 214.351i | 1.78593 | + | 0.415410i | ||||
\(517\) | −215.806 | − | 45.8709i | −0.417419 | − | 0.0887252i | ||||
\(518\) | 71.4602 | + | 42.1725i | 0.137954 | + | 0.0814140i | ||||
\(519\) | 748.103 | − | 1029.68i | 1.44143 | − | 1.98396i | ||||
\(520\) | 15.2648 | − | 113.778i | 0.0293555 | − | 0.218804i | ||||
\(521\) | −310.832 | − | 538.377i | −0.596606 | − | 1.03335i | −0.993318 | − | 0.115409i | \(-0.963182\pi\) |
0.396712 | − | 0.917943i | \(-0.370151\pi\) | |||||||
\(522\) | −101.225 | − | 1060.40i | −0.193917 | − | 2.03141i | ||||
\(523\) | −27.2396 | − | 37.4921i | −0.0520834 | − | 0.0716866i | 0.782181 | − | 0.623051i | \(-0.214107\pi\) |
−0.834264 | + | 0.551365i | \(0.814107\pi\) | |||||||
\(524\) | −706.917 | − | 87.9789i | −1.34908 | − | 0.167899i | ||||
\(525\) | −81.5819 | − | 251.083i | −0.155394 | − | 0.478254i | ||||
\(526\) | −225.647 | − | 316.896i | −0.428986 | − | 0.602464i | ||||
\(527\) | −129.317 | − | 8.86239i | −0.245384 | − | 0.0168167i | ||||
\(528\) | 718.011 | + | 564.785i | 1.35987 | + | 1.06967i | ||||
\(529\) | 113.037 | + | 347.892i | 0.213681 | + | 0.657642i | ||||
\(530\) | 91.0118 | − | 99.1581i | 0.171720 | − | 0.187091i | ||||
\(531\) | −372.942 | − | 513.311i | −0.702340 | − | 0.966688i | ||||
\(532\) | −168.126 | − | 194.050i | −0.316026 | − | 0.364756i | ||||
\(533\) | −96.7036 | − | 167.496i | −0.181433 | − | 0.314250i | ||||
\(534\) | −159.874 | − | 789.129i | −0.299390 | − | 1.47777i | ||||
\(535\) | 163.357 | − | 224.842i | 0.305341 | − | 0.420266i | ||||
\(536\) | −287.510 | + | 244.333i | −0.536399 | + | 0.455845i | ||||
\(537\) | 941.753 | + | 200.176i | 1.75373 | + | 0.372767i | ||||
\(538\) | 460.084 | + | 520.892i | 0.855174 | + | 0.968202i | ||||
\(539\) | −391.075 | − | 352.126i | −0.725557 | − | 0.653294i | ||||
\(540\) | 27.8607 | + | 65.9370i | 0.0515939 | + | 0.122106i | ||||
\(541\) | 70.6467 | − | 672.159i | 0.130585 | − | 1.24244i | −0.711342 | − | 0.702846i | \(-0.751912\pi\) |
0.841927 | − | 0.539591i | \(-0.181421\pi\) | |||||||
\(542\) | −406.645 | + | 127.847i | −0.750267 | + | 0.235880i | ||||
\(543\) | 316.771 | + | 102.925i | 0.583372 | + | 0.189549i | ||||
\(544\) | −20.3211 | + | 132.250i | −0.0373550 | + | 0.243106i | ||||
\(545\) | 178.195 | + | 197.905i | 0.326963 | + | 0.363129i | ||||
\(546\) | 20.9222 | − | 182.299i | 0.0383191 | − | 0.333881i | ||||
\(547\) | 652.301 | − | 68.5596i | 1.19251 | − | 0.125338i | 0.512595 | − | 0.858631i | \(-0.328684\pi\) |
0.679913 | + | 0.733293i | \(0.262018\pi\) | |||||||
\(548\) | −173.227 | + | 287.227i | −0.316107 | + | 0.524136i | ||||
\(549\) | −1084.79 | + | 482.978i | −1.97593 | + | 0.879741i | ||||
\(550\) | −5.16457 | + | 540.834i | −0.00939013 | + | 0.983334i | ||||
\(551\) | 452.609 | − | 1016.58i | 0.821431 | − | 1.84496i | ||||
\(552\) | −315.850 | + | 331.196i | −0.572192 | + | 0.599994i | ||||
\(553\) | −150.660 | + | 260.950i | −0.272441 | + | 0.471881i | ||||
\(554\) | 333.347 | − | 993.554i | 0.601710 | − | 1.79342i | ||||
\(555\) | −27.0536 | − | 127.277i | −0.0487452 | − | 0.229328i | ||||
\(556\) | −4.75402 | + | 248.898i | −0.00855039 | + | 0.447658i | ||||
\(557\) | 966.750 | 1.73564 | 0.867819 | − | 0.496881i | \(-0.165522\pi\) | ||||
0.867819 | + | 0.496881i | \(0.165522\pi\) | |||||||
\(558\) | −124.499 | + | 673.866i | −0.223117 | + | 1.20765i | ||||
\(559\) | 389.345i | 0.696503i | ||||||||
\(560\) | 81.2611 | + | 29.8797i | 0.145109 | + | 0.0533566i | ||||
\(561\) | 233.516 | − | 49.6353i | 0.416249 | − | 0.0884765i | ||||
\(562\) | 246.298 | − | 734.099i | 0.438252 | − | 1.30623i | ||||
\(563\) | 642.394 | + | 370.886i | 1.14102 | + | 0.658768i | 0.946683 | − | 0.322167i | \(-0.104411\pi\) |
0.194336 | + | 0.980935i | \(0.437745\pi\) | |||||||
\(564\) | −304.354 | + | 58.6410i | −0.539634 | + | 0.103973i | ||||
\(565\) | 129.298 | + | 57.5672i | 0.228846 | + | 0.101889i | ||||
\(566\) | −3.38931 | + | 354.928i | −0.00598817 | + | 0.627082i | ||||
\(567\) | −65.9249 | − | 148.070i | −0.116270 | − | 0.261146i | ||||
\(568\) | 308.155 | − | 23.4875i | 0.542526 | − | 0.0413513i | ||||
\(569\) | −61.7209 | − | 587.236i | −0.108473 | − | 1.03205i | −0.904409 | − | 0.426668i | \(-0.859687\pi\) |
0.795936 | − | 0.605381i | \(-0.206979\pi\) | |||||||
\(570\) | −45.9079 | + | 400.003i | −0.0805401 | + | 0.701760i | ||||
\(571\) | −508.060 | + | 457.459i | −0.889773 | + | 0.801155i | −0.980865 | − | 0.194687i | \(-0.937631\pi\) |
0.0910926 | + | 0.995842i | \(0.470964\pi\) | |||||||
\(572\) | −159.432 | + | 340.440i | −0.278727 | + | 0.595174i | ||||
\(573\) | 184.782 | − | 568.699i | 0.322481 | − | 0.992495i | ||||
\(574\) | 139.152 | − | 43.7488i | 0.242426 | − | 0.0762175i | ||||
\(575\) | −269.477 | − | 28.3232i | −0.468656 | − | 0.0492577i | ||||
\(576\) | 682.361 | + | 186.451i | 1.18466 | + | 0.323701i | ||||
\(577\) | 328.184 | − | 364.486i | 0.568777 | − | 0.631691i | −0.388297 | − | 0.921534i | \(-0.626937\pi\) |
0.957074 | + | 0.289843i | \(0.0936033\pi\) | |||||||
\(578\) | −359.490 | − | 407.004i | −0.621955 | − | 0.704159i | ||||
\(579\) | 158.642 | − | 746.353i | 0.273994 | − | 1.28904i | ||||
\(580\) | 32.0899 | + | 373.870i | 0.0553274 | + | 0.644604i | ||||
\(581\) | 209.182 | + | 151.980i | 0.360039 | + | 0.261583i | ||||
\(582\) | 208.624 | + | 1029.75i | 0.358460 | + | 1.76933i | ||||
\(583\) | −381.699 | + | 220.374i | −0.654715 | + | 0.378000i | ||||
\(584\) | 1037.54 | + | 251.800i | 1.77661 | + | 0.431164i | ||||
\(585\) | −128.313 | + | 93.2250i | −0.219339 | + | 0.159359i | ||||
\(586\) | −109.858 | + | 119.691i | −0.187470 | + | 0.204250i | ||||
\(587\) | 51.3250 | − | 16.6765i | 0.0874362 | − | 0.0284097i | −0.264972 | − | 0.964256i | \(-0.585363\pi\) |
0.352408 | + | 0.935846i | \(0.385363\pi\) | |||||||
\(588\) | −698.627 | − | 241.842i | −1.18814 | − | 0.411297i | ||||
\(589\) | −459.390 | + | 549.025i | −0.779948 | + | 0.932131i | ||||
\(590\) | 129.644 | + | 182.071i | 0.219736 | + | 0.308594i | ||||
\(591\) | −228.438 | + | 74.2241i | −0.386528 | + | 0.125591i | ||||
\(592\) | −214.300 | − | 105.395i | −0.361993 | − | 0.178032i | ||||
\(593\) | −343.634 | + | 249.665i | −0.579485 | + | 0.421020i | −0.838538 | − | 0.544843i | \(-0.816589\pi\) |
0.259054 | + | 0.965863i | \(0.416589\pi\) | |||||||
\(594\) | −22.2748 | − | 233.344i | −0.0374997 | − | 0.392835i | ||||
\(595\) | 19.5949 | − | 11.3131i | 0.0329326 | − | 0.0190136i | ||||
\(596\) | −767.199 | + | 820.012i | −1.28725 | + | 1.37586i | ||||
\(597\) | 455.998 | + | 331.302i | 0.763815 | + | 0.554944i | ||||
\(598\) | −162.193 | − | 95.7186i | −0.271226 | − | 0.160065i | ||||
\(599\) | −137.772 | + | 648.167i | −0.230004 | + | 1.08208i | 0.699889 | + | 0.714251i | \(0.253233\pi\) |
−0.929893 | + | 0.367831i | \(0.880101\pi\) | |||||||
\(600\) | 289.043 | + | 702.710i | 0.481739 | + | 1.17118i | ||||
\(601\) | −266.017 | + | 295.442i | −0.442624 | + | 0.491584i | −0.922633 | − | 0.385680i | \(-0.873967\pi\) |
0.480008 | + | 0.877264i | \(0.340634\pi\) | |||||||
\(602\) | −286.631 | − | 63.7920i | −0.476132 | − | 0.105967i | ||||
\(603\) | 518.430 | + | 54.4891i | 0.859750 | + | 0.0903634i | ||||
\(604\) | 523.398 | − | 692.201i | 0.866553 | − | 1.14603i | ||||
\(605\) | −25.0043 | + | 76.9554i | −0.0413295 | + | 0.127199i | ||||
\(606\) | −249.788 | + | 141.052i | −0.412191 | + | 0.232759i | ||||
\(607\) | 124.255 | − | 111.880i | 0.204703 | − | 0.184315i | −0.560402 | − | 0.828221i | \(-0.689353\pi\) |
0.765105 | + | 0.643905i | \(0.222687\pi\) | |||||||
\(608\) | 524.930 | + | 520.107i | 0.863372 | + | 0.855439i | ||||
\(609\) | 62.6964 | + | 596.516i | 0.102950 | + | 0.979501i | ||||
\(610\) | 383.745 | − | 166.482i | 0.629091 | − | 0.272922i | ||||
\(611\) | −51.8784 | − | 116.521i | −0.0849073 | − | 0.190705i | ||||
\(612\) | 151.603 | − | 105.782i | 0.247717 | − | 0.172847i | ||||
\(613\) | −853.826 | − | 380.148i | −1.39287 | − | 0.620144i | −0.433202 | − | 0.901297i | \(-0.642616\pi\) |
−0.959663 | + | 0.281153i | \(0.909283\pi\) | |||||||
\(614\) | −95.1886 | + | 208.418i | −0.155030 | + | 0.339443i | ||||
\(615\) | −198.098 | − | 114.372i | −0.322111 | − | 0.185971i | ||||
\(616\) | −224.505 | − | 173.151i | −0.364457 | − | 0.281089i | ||||
\(617\) | 901.418 | − | 191.602i | 1.46097 | − | 0.310538i | 0.592214 | − | 0.805781i | \(-0.298254\pi\) |
0.868755 | + | 0.495242i | \(0.164921\pi\) | |||||||
\(618\) | −371.098 | − | 275.070i | −0.600482 | − | 0.445098i | ||||
\(619\) | 958.561i | 1.54856i | 0.632841 | + | 0.774282i | \(0.281889\pi\) | ||||
−0.632841 | + | 0.774282i | \(0.718111\pi\) | |||||||
\(620\) | 46.1222 | − | 236.954i | 0.0743907 | − | 0.382183i | ||||
\(621\) | 117.433 | 0.189103 | ||||||||
\(622\) | −181.376 | + | 244.695i | −0.291602 | + | 0.393400i | ||||
\(623\) | 51.9550 | + | 244.429i | 0.0833948 | + | 0.392342i | ||||
\(624\) | −20.1672 | + | 527.736i | −0.0323192 | + | 0.845730i | ||||
\(625\) | −177.559 | + | 307.541i | −0.284094 | + | 0.492065i | ||||
\(626\) | −533.488 | − | 243.655i | −0.852218 | − | 0.389225i | ||||
\(627\) | 536.270 | − | 1204.48i | 0.855295 | − | 1.92102i | ||||
\(628\) | −192.287 | + | 134.170i | −0.306189 | + | 0.213647i | ||||
\(629\) | −57.0144 | + | 25.3845i | −0.0906429 | + | 0.0403568i | ||||
\(630\) | −47.6077 | − | 109.737i | −0.0755678 | − | 0.174186i | ||||
\(631\) | 310.608 | − | 32.6463i | 0.492248 | − | 0.0517373i | 0.144847 | − | 0.989454i | \(-0.453731\pi\) |
0.347401 | + | 0.937717i | \(0.387064\pi\) | |||||||
\(632\) | 375.282 | − | 781.826i | 0.593801 | − | 1.23707i | ||||
\(633\) | 1174.03 | + | 1303.89i | 1.85470 | + | 2.05986i | ||||
\(634\) | 11.1834 | + | 19.8045i | 0.0176394 | + | 0.0312374i | ||||
\(635\) | 184.906 | + | 60.0797i | 0.291191 | + | 0.0946136i | ||||
\(636\) | −373.451 | + | 493.895i | −0.587188 | + | 0.776564i | ||||
\(637\) | 31.8006 | − | 302.563i | 0.0499225 | − | 0.474981i | ||||
\(638\) | 266.947 | − | 1199.45i | 0.418412 | − | 1.88002i | ||||
\(639\) | −317.308 | − | 285.705i | −0.496569 | − | 0.447113i | ||||
\(640\) | −239.738 | − | 67.9737i | −0.374590 | − | 0.106209i | ||||
\(641\) | 791.733 | + | 168.288i | 1.23515 | + | 0.262540i | 0.778808 | − | 0.627263i | \(-0.215825\pi\) |
0.456346 | + | 0.889803i | \(0.349158\pi\) | |||||||
\(642\) | −649.823 | + | 1101.11i | −1.01219 | + | 1.71512i | ||||
\(643\) | −41.5388 | + | 57.1732i | −0.0646015 | + | 0.0889163i | −0.840095 | − | 0.542439i | \(-0.817501\pi\) |
0.775494 | + | 0.631355i | \(0.217501\pi\) | |||||||
\(644\) | 97.0412 | − | 103.721i | 0.150685 | − | 0.161058i | ||||
\(645\) | 230.241 | + | 398.789i | 0.356963 | + | 0.618278i | ||||
\(646\) | 192.240 | − | 18.3511i | 0.297585 | − | 0.0284073i | ||||
\(647\) | 396.694 | + | 546.003i | 0.613129 | + | 0.843899i | 0.996830 | − | 0.0795579i | \(-0.0253509\pi\) |
−0.383702 | + | 0.923457i | \(0.625351\pi\) | |||||||
\(648\) | 221.578 | + | 410.508i | 0.341942 | + | 0.633501i | ||||
\(649\) | −226.176 | − | 696.099i | −0.348499 | − | 1.07257i | ||||
\(650\) | −254.706 | + | 181.364i | −0.391855 | + | 0.279021i | ||||
\(651\) | 66.4766 | − | 380.092i | 0.102115 | − | 0.583858i | ||||
\(652\) | −744.197 | − | 257.618i | −1.14141 | − | 0.395119i | ||||
\(653\) | 281.933 | + | 867.701i | 0.431751 | + | 1.32879i | 0.896380 | + | 0.443287i | \(0.146188\pi\) |
−0.464629 | + | 0.885505i | \(0.653812\pi\) | |||||||
\(654\) | −902.584 | − | 828.432i | −1.38010 | − | 1.26672i | ||||
\(655\) | −203.789 | − | 280.492i | −0.311129 | − | 0.428232i | ||||
\(656\) | −389.768 | + | 155.987i | −0.594159 | + | 0.237785i | ||||
\(657\) | −737.533 | − | 1277.45i | −1.12258 | − | 1.94436i | ||||
\(658\) | 94.2810 | − | 19.1010i | 0.143284 | − | 0.0290288i | ||||
\(659\) | 683.346 | − | 940.545i | 1.03694 | − | 1.42723i | 0.137340 | − | 0.990524i | \(-0.456145\pi\) |
0.899604 | − | 0.436707i | \(-0.143855\pi\) | |||||||
\(660\) | 38.0215 | + | 442.978i | 0.0576084 | + | 0.671179i | ||||
\(661\) | −758.545 | − | 161.234i | −1.14757 | − | 0.243924i | −0.405404 | − | 0.914138i | \(-0.632869\pi\) |
−0.742168 | + | 0.670214i | \(0.766202\pi\) | |||||||
\(662\) | −130.692 | + | 115.435i | −0.197419 | + | 0.174373i | ||||
\(663\) | 102.565 | + | 92.3500i | 0.154698 | + | 0.139291i | ||||
\(664\) | −633.552 | − | 390.394i | −0.954145 | − | 0.587943i | ||||
\(665\) | 13.0619 | − | 124.275i | 0.0196419 | − | 0.186880i | ||||
\(666\) | 98.9578 | + | 314.756i | 0.148585 | + | 0.472607i | ||||
\(667\) | 585.477 | + | 190.233i | 0.877777 | + | 0.285207i | ||||
\(668\) | 97.8237 | − | 208.886i | 0.146443 | − | 0.312704i | ||||
\(669\) | 1027.07 | + | 1140.68i | 1.53524 | + | 1.70505i | ||||
\(670\) | −182.436 | − | 20.9379i | −0.272292 | − | 0.0312506i | ||||
\(671\) | −1362.29 | + | 143.182i | −2.03024 | + | 0.213387i | ||||
\(672\) | −385.208 | − | 101.313i | −0.573226 | − | 0.150764i | ||||
\(673\) | 279.281 | − | 124.344i | 0.414979 | − | 0.184760i | −0.188618 | − | 0.982051i | \(-0.560401\pi\) |
0.603596 | + | 0.797290i | \(0.293734\pi\) | |||||||
\(674\) | −563.434 | − | 5.38039i | −0.835956 | − | 0.00798277i | ||||
\(675\) | 79.3011 | − | 178.113i | 0.117483 | − | 0.263871i | ||||
\(676\) | 450.390 | − | 86.7784i | 0.666257 | − | 0.128370i | ||||
\(677\) | −284.189 | + | 492.230i | −0.419777 | + | 0.727076i | −0.995917 | − | 0.0902756i | \(-0.971225\pi\) |
0.576139 | + | 0.817351i | \(0.304559\pi\) | |||||||
\(678\) | −617.304 | − | 207.112i | −0.910478 | − | 0.305474i | ||||
\(679\) | −67.7972 | − | 318.961i | −0.0998487 | − | 0.469751i | ||||
\(680\) | −53.7586 | + | 36.7523i | −0.0790567 | + | 0.0540475i | ||||
\(681\) | −1201.57 | −1.76442 | ||||||||
\(682\) | −376.802 | + | 694.921i | −0.552496 | + | 1.01895i | ||||
\(683\) | 192.240i | 0.281463i | 0.990048 | + | 0.140732i | \(0.0449455\pi\) | ||||
−0.990048 | + | 0.140732i | \(0.955055\pi\) | |||||||
\(684\) | 19.4968 | − | 1020.76i | 0.0285040 | − | 1.49234i | ||||
\(685\) | −159.680 | + | 33.9410i | −0.233109 | + | 0.0495490i | ||||
\(686\) | 475.786 | + | 159.631i | 0.693565 | + | 0.232698i | ||||
\(687\) | 476.974 | + | 275.381i | 0.694286 | + | 0.400846i | ||||
\(688\) | 836.524 | + | 120.373i | 1.21588 | + | 0.174961i | ||||
\(689\) | −232.774 | − | 103.638i | −0.337843 | − | 0.150417i | ||||
\(690\) | −222.731 | − | 2.12691i | −0.322798 | − | 0.00308248i | ||||
\(691\) | 98.4155 | + | 221.045i | 0.142425 | + | 0.319891i | 0.970647 | − | 0.240508i | \(-0.0773142\pi\) |
−0.828222 | + | 0.560400i | \(0.810648\pi\) | |||||||
\(692\) | 587.140 | − | 973.534i | 0.848468 | − | 1.40684i | ||||
\(693\) | 40.9449 | + | 389.565i | 0.0590835 | + | 0.562142i | ||||
\(694\) | −557.207 | − | 63.9499i | −0.802892 | − | 0.0921469i | ||||
\(695\) | −90.0389 | + | 81.0714i | −0.129552 | + | 0.116650i | ||||
\(696\) | −310.404 | − | 1698.16i | −0.445983 | − | 2.43988i | ||||
\(697\) | −33.9032 | + | 104.343i | −0.0486417 | + | 0.149704i | ||||
\(698\) | 116.137 | + | 369.399i | 0.166386 | + | 0.529225i | ||||
\(699\) | −490.984 | − | 51.6045i | −0.702409 | − | 0.0738262i | ||||
\(700\) | −91.7858 | − | 217.226i | −0.131123 | − | 0.310324i | ||||
\(701\) | 2.70631 | − | 3.00566i | 0.00386064 | − | 0.00428768i | −0.741211 | − | 0.671272i | \(-0.765748\pi\) |
0.745072 | + | 0.666984i | \(0.232415\pi\) | |||||||
\(702\) | 101.567 | − | 89.7100i | 0.144682 | − | 0.127792i | ||||
\(703\) | −71.6625 | + | 337.146i | −0.101938 | + | 0.479581i | ||||
\(704\) | 682.157 | + | 447.799i | 0.968973 | + | 0.636077i | ||||
\(705\) | −122.042 | − | 88.6685i | −0.173109 | − | 0.125771i | ||||
\(706\) | −37.2552 | + | 7.54775i | −0.0527694 | + | 0.0106909i | ||||
\(707\) | 77.1025 | − | 44.5151i | 0.109056 | − | 0.0629634i | ||||
\(708\) | −673.317 | − | 777.140i | −0.951012 | − | 1.09766i | ||||
\(709\) | −70.9453 | + | 51.5448i | −0.100064 | + | 0.0727007i | −0.636692 | − | 0.771118i | \(-0.719698\pi\) |
0.536628 | + | 0.843819i | \(0.319698\pi\) | |||||||
\(710\) | 110.812 | + | 101.708i | 0.156073 | + | 0.143251i | ||||
\(711\) | −1139.52 | + | 370.252i | −1.60270 | + | 0.520748i | ||||
\(712\) | −202.565 | − | 690.095i | −0.284501 | − | 0.969234i | ||||
\(713\) | −328.630 | − | 221.001i | −0.460912 | − | 0.309959i | ||||
\(714\) | −84.7916 | + | 60.3761i | −0.118756 | + | 0.0845604i | ||||
\(715\) | −174.005 | + | 56.5376i | −0.243363 | + | 0.0790736i | ||||
\(716\) | 853.430 | + | 106.213i | 1.19194 | + | 0.148342i | ||||
\(717\) | −1137.73 | + | 826.609i | −1.58679 | + | 1.15287i | ||||
\(718\) | 531.469 | − | 50.7336i | 0.740207 | − | 0.0706596i | ||||
\(719\) | −805.577 | + | 465.100i | −1.12041 | + | 0.646871i | −0.941506 | − | 0.336995i | \(-0.890589\pi\) |
−0.178907 | + | 0.983866i | \(0.557256\pi\) | |||||||
\(720\) | 160.627 | + | 304.508i | 0.223093 | + | 0.422928i | ||||
\(721\) | 115.984 | + | 84.2671i | 0.160865 | + | 0.116875i | ||||
\(722\) | 175.106 | − | 296.712i | 0.242529 | − | 0.410959i | ||||
\(723\) | 190.090 | − | 894.305i | 0.262919 | − | 1.23694i | ||||
\(724\) | 289.781 | + | 67.4035i | 0.400251 | + | 0.0930988i | ||||
\(725\) | 683.897 | − | 759.545i | 0.943306 | − | 1.04765i | ||||
\(726\) | 80.8681 | − | 363.358i | 0.111389 | − | 0.500494i | ||||
\(727\) | 958.401 | + | 100.732i | 1.31830 | + | 0.138558i | 0.737420 | − | 0.675434i | \(-0.236044\pi\) |
0.580875 | + | 0.813993i | \(0.302710\pi\) | |||||||
\(728\) | 4.69481 | − | 163.840i | 0.00644891 | − | 0.225055i | ||||
\(729\) | 313.644 | − | 965.296i | 0.430238 | − | 1.32414i | ||||
\(730\) | 255.502 | + | 452.467i | 0.350003 | + | 0.619817i | ||||
\(731\) | 164.133 | − | 147.786i | 0.224532 | − | 0.202169i | ||||
\(732\) | −1684.63 | + | 930.188i | −2.30141 | + | 1.27075i | ||||
\(733\) | 68.2132 | + | 649.005i | 0.0930603 | + | 0.885409i | 0.937084 | + | 0.349104i | \(0.113514\pi\) |
−0.844024 | + | 0.536306i | \(0.819819\pi\) | |||||||
\(734\) | 473.346 | + | 1091.07i | 0.644886 | + | 1.48648i | ||||
\(735\) | −146.350 | − | 328.707i | −0.199115 | − | 0.447220i | ||||
\(736\) | −255.800 | + | 318.885i | −0.347554 | + | 0.433267i | ||||
\(737\) | 549.347 | + | 244.585i | 0.745383 | + | 0.331866i | ||||
\(738\) | 527.602 | + | 240.966i | 0.714908 | + | 0.326513i | ||||
\(739\) | −627.641 | − | 362.368i | −0.849311 | − | 0.490350i | 0.0111075 | − | 0.999938i | \(-0.496464\pi\) |
−0.860418 | + | 0.509589i | \(0.829798\pi\) | |||||||
\(740\) | −33.7995 | − | 111.207i | −0.0456751 | − | 0.150280i | ||||
\(741\) | 745.571 | − | 158.476i | 1.00617 | − | 0.213868i | ||||
\(742\) | 114.435 | − | 154.385i | 0.154226 | − | 0.208066i | ||||
\(743\) | − | 567.317i | − | 0.763549i | −0.924256 | − | 0.381774i | \(-0.875313\pi\) | ||
0.924256 | − | 0.381774i | \(-0.124687\pi\) | |||||||
\(744\) | −107.634 | + | 1105.32i | −0.144670 | + | 1.48565i | ||||
\(745\) | −546.534 | −0.733602 | ||||||||
\(746\) | 653.456 | + | 484.364i | 0.875946 | + | 0.649281i | ||||
\(747\) | 213.764 | + | 1005.68i | 0.286163 | + | 1.34629i | ||||
\(748\) | 204.032 | − | 62.0122i | 0.272770 | − | 0.0829040i | ||||
\(749\) | 198.407 | − | 343.650i | 0.264895 | − | 0.458812i | ||||
\(750\) | −334.719 | + | 732.876i | −0.446292 | + | 0.977168i | ||||
\(751\) | 24.8758 | − | 55.8721i | 0.0331236 | − | 0.0743969i | −0.896226 | − | 0.443598i | \(-0.853702\pi\) |
0.929350 | + | 0.369201i | \(0.120369\pi\) | |||||||
\(752\) | −266.388 | + | 75.4382i | −0.354240 | + | 0.100317i | ||||
\(753\) | −438.262 | + | 195.127i | −0.582021 | + | 0.259132i | ||||
\(754\) | 651.699 | − | 282.730i | 0.864323 | − | 0.374973i | ||||
\(755\) | 420.043 | − | 44.1483i | 0.556349 | − | 0.0584746i | ||||
\(756\) | 49.4023 | + | 89.4707i | 0.0653469 | + | 0.118348i | ||||
\(757\) | −773.590 | − | 859.159i | −1.02192 | − | 1.13495i | −0.990786 | − | 0.135437i | \(-0.956756\pi\) |
−0.0311302 | − | 0.999515i | \(-0.509911\pi\) | |||||||
\(758\) | −202.105 | + | 114.126i | −0.266629 | + | 0.150562i | ||||
\(759\) | 693.699 | + | 225.396i | 0.913964 | + | 0.296965i | ||||
\(760\) | −10.3014 | + | 359.501i | −0.0135545 | + | 0.473028i | ||||
\(761\) | 123.165 | − | 1171.84i | 0.161846 | − | 1.53987i | −0.548582 | − | 0.836097i | \(-0.684832\pi\) |
0.710428 | − | 0.703769i | \(-0.248501\pi\) | |||||||
\(762\) | −873.067 | − | 194.308i | −1.14576 | − | 0.254997i | ||||
\(763\) | 282.568 | + | 254.425i | 0.370338 | + | 0.333454i | ||||
\(764\) | 121.010 | − | 520.245i | 0.158390 | − | 0.680949i | ||||
\(765\) | 88.0044 | + | 18.7059i | 0.115038 | + | 0.0244522i | ||||
\(766\) | 396.749 | + | 234.143i | 0.517950 | + | 0.305670i | ||||
\(767\) | 248.712 | − | 342.323i | 0.324266 | − | 0.446314i | ||||
\(768\) | 1127.63 | + | 206.489i | 1.46826 | + | 0.268866i | ||||
\(769\) | 454.909 | + | 787.925i | 0.591559 | + | 1.02461i | 0.994023 | + | 0.109174i | \(0.0348205\pi\) |
−0.402464 | + | 0.915436i | \(0.631846\pi\) | |||||||
\(770\) | −13.1126 | − | 137.364i | −0.0170294 | − | 0.178394i | ||||
\(771\) | 748.933 | + | 1030.82i | 0.971379 | + | 1.33699i | ||||
\(772\) | 84.1755 | − | 676.356i | 0.109036 | − | 0.876109i | ||||
\(773\) | −82.2452 | − | 253.125i | −0.106397 | − | 0.327458i | 0.883658 | − | 0.468132i | \(-0.155073\pi\) |
−0.990056 | + | 0.140675i | \(0.955073\pi\) | |||||||
\(774\) | −677.271 | − | 951.152i | −0.875027 | − | 1.22888i | ||||
\(775\) | −557.117 | + | 349.202i | −0.718861 | + | 0.450583i | ||||
\(776\) | 264.331 | + | 900.520i | 0.340633 | + | 1.16046i | ||||
\(777\) | −57.4108 | − | 176.692i | −0.0738878 | − | 0.227403i | ||||
\(778\) | 300.715 | − | 327.631i | 0.386523 | − | 0.421120i | ||||
\(779\) | 356.153 | + | 490.202i | 0.457192 | + | 0.629271i | ||||
\(780\) | −194.263 | + | 168.310i | −0.249055 | + | 0.215782i | ||||
\(781\) | −246.274 | − | 426.559i | −0.315332 | − | 0.546171i | ||||
\(782\) | 21.2131 | + | 104.706i | 0.0271268 | + | 0.133896i | ||||
\(783\) | −260.364 | + | 358.360i | −0.332521 | + | 0.457676i | ||||
\(784\) | −640.236 | − | 161.867i | −0.816627 | − | 0.206464i | ||||
\(785\) | −111.621 | − | 23.7259i | −0.142193 | − | 0.0302240i | ||||
\(786\) | 1055.90 | + | 1195.46i | 1.34339 | + | 1.52094i | ||||
\(787\) | 1125.91 | + | 1013.77i | 1.43064 | + | 1.28815i | 0.896709 | + | 0.442621i | \(0.145951\pi\) |
0.533927 | + | 0.845530i | \(0.320716\pi\) | |||||||
\(788\) | −197.635 | + | 83.5078i | −0.250806 | + | 0.105974i | ||||
\(789\) | −91.0474 | + | 866.258i | −0.115396 | + | 1.09792i | ||||
\(790\) | 402.646 | − | 126.590i | 0.509678 | − | 0.160240i | ||||
\(791\) | 192.191 | + | 62.4468i | 0.242973 | + | 0.0789466i | ||||
\(792\) | −202.714 | − | 1109.01i | −0.255953 | − | 1.40027i | ||||
\(793\) | −529.884 | − | 588.495i | −0.668201 | − | 0.742113i | ||||
\(794\) | −127.945 | + | 1114.80i | −0.161139 | + | 1.40404i | ||||
\(795\) | −299.706 | + | 31.5004i | −0.376989 | + | 0.0396232i | ||||
\(796\) | 431.135 | + | 260.018i | 0.541627 | + | 0.326656i | ||||
\(797\) | −27.2883 | + | 12.1495i | −0.0342387 | + | 0.0152441i | −0.423785 | − | 0.905763i | \(-0.639299\pi\) |
0.389546 | + | 0.921007i | \(0.372632\pi\) | |||||||
\(798\) | −5.48936 | + | 574.845i | −0.00687889 | + | 0.720358i | ||||
\(799\) | −29.4288 | + | 66.0982i | −0.0368320 | + | 0.0827261i | ||||
\(800\) | 310.921 | + | 603.317i | 0.388651 | + | 0.754146i | ||||
\(801\) | −496.828 | + | 860.532i | −0.620260 | + | 1.07432i | ||||
\(802\) | 205.205 | − | 611.623i | 0.255867 | − | 0.762622i | ||||
\(803\) | −353.779 | − | 1664.40i | −0.440572 | − | 2.07273i | ||||
\(804\) | 844.642 | + | 16.1329i | 1.05055 | + | 0.0200658i | ||||
\(805\) | 69.1298 | 0.0858755 | ||||||||
\(806\) | −453.058 | + | 59.9070i | −0.562107 | + | 0.0743264i | ||||
\(807\) | − | 1556.08i | − | 1.92823i | ||||||
\(808\) | −211.531 | + | 144.614i | −0.261795 | + | 0.178978i | ||||
\(809\) | −528.027 | + | 112.236i | −0.652691 | + | 0.138734i | −0.522344 | − | 0.852735i | \(-0.674942\pi\) |
−0.130347 | + | 0.991468i | \(0.541609\pi\) | |||||||
\(810\) | −72.2176 | + | 215.247i | −0.0891575 | + | 0.265737i | ||||
\(811\) | −412.385 | − | 238.090i | −0.508489 | − | 0.293576i | 0.223723 | − | 0.974653i | \(-0.428179\pi\) |
−0.732212 | + | 0.681076i | \(0.761512\pi\) | |||||||
\(812\) | 101.365 | + | 526.097i | 0.124834 | + | 0.647902i | ||||
\(813\) | 871.908 | + | 388.198i | 1.07246 | + | 0.477489i | ||||
\(814\) | −3.63441 | + | 380.596i | −0.00446488 | + | 0.467562i | ||||
\(815\) | −155.896 | − | 350.148i | −0.191283 | − | 0.429629i | ||||
\(816\) | 230.127 | − | 191.813i | 0.282019 | − | 0.235065i | ||||
\(817\) | −127.501 | − | 1213.09i | −0.156060 | − | 1.48482i | ||||
\(818\) | 171.757 | − | 1496.55i | 0.209971 | − | 1.82952i | ||||
\(819\) | −168.288 | + | 151.527i | −0.205480 | + | 0.185015i | ||||
\(820\) | −185.040 | − | 86.6563i | −0.225658 | − | 0.105678i | ||||
\(821\) | 415.411 | − | 1278.50i | 0.505981 | − | 1.55725i | −0.293133 | − | 0.956072i | \(-0.594698\pi\) |
0.799115 | − | 0.601179i | \(-0.205302\pi\) | |||||||
\(822\) | 716.437 | − | 225.244i | 0.871578 | − | 0.274020i | ||||
\(823\) | 33.3198 | + | 3.50205i | 0.0404858 | + | 0.00425523i | 0.124750 | − | 0.992188i | \(-0.460187\pi\) |
−0.0842639 | + | 0.996443i | \(0.526854\pi\) | |||||||
\(824\) | −351.281 | − | 216.459i | −0.426312 | − | 0.262693i | ||||
\(825\) | 810.311 | − | 899.941i | 0.982195 | − | 1.09084i | ||||
\(826\) | 211.264 | + | 239.187i | 0.255768 | + | 0.289572i | ||||
\(827\) | 59.1855 | − | 278.446i | 0.0715665 | − | 0.336694i | −0.927769 | − | 0.373156i | \(-0.878276\pi\) |
0.999335 | + | 0.0364623i | \(0.0116089\pi\) | |||||||
\(828\) | 562.733 | − | 48.3003i | 0.679629 | − | 0.0583337i | ||||
\(829\) | 318.579 | + | 231.461i | 0.384293 | + | 0.279205i | 0.763113 | − | 0.646265i | \(-0.223670\pi\) |
−0.378820 | + | 0.925470i | \(0.623670\pi\) | |||||||
\(830\) | −71.9164 | − | 354.974i | −0.0866463 | − | 0.427680i | ||||
\(831\) | −2032.09 | + | 1173.23i | −2.44535 | + | 1.41182i | ||||
\(832\) | 22.3645 | + | 471.213i | 0.0268804 | + | 0.566362i | ||||
\(833\) | −139.619 | + | 101.439i | −0.167610 | + | 0.121776i | ||||
\(834\) | 376.903 | − | 410.639i | 0.451922 | − | 0.492373i | ||||
\(835\) | 106.765 | − | 34.6902i | 0.127863 | − | 0.0415451i | ||||
\(836\) | 385.260 | − | 1112.93i | 0.460838 | − | 1.33125i | ||||
\(837\) | 224.309 | − | 175.751i | 0.267991 | − | 0.209977i | ||||
\(838\) | −323.380 | − | 454.151i | −0.385895 | − | 0.541947i | ||||
\(839\) | −1110.03 | + | 360.672i | −1.32304 | + | 0.429883i | −0.883539 | − | 0.468358i | \(-0.844846\pi\) |
−0.439504 | + | 0.898241i | \(0.644846\pi\) | |||||||
\(840\) | −92.0789 | − | 170.591i | −0.109618 | − | 0.203084i | ||||
\(841\) | −1198.21 | + | 870.554i | −1.42475 | + | 1.03514i | ||||
\(842\) | −54.7722 | − | 573.777i | −0.0650502 | − | 0.681445i | ||||
\(843\) | −1501.43 | + | 866.852i | −1.78106 | + | 1.02829i | ||||
\(844\) | 1144.46 | + | 1070.75i | 1.35599 | + | 1.26866i | ||||
\(845\) | 180.600 | + | 131.214i | 0.213728 | + | 0.155283i | ||||
\(846\) | 329.425 | + | 194.411i | 0.389392 | + | 0.229801i | ||||
\(847\) | −24.0202 | + | 113.006i | −0.0283592 | + | 0.133420i | ||||
\(848\) | −294.636 | + | 468.083i | −0.347448 | + | 0.551984i | ||||
\(849\) | 531.775 | − | 590.596i | 0.626355 | − | 0.695638i | ||||
\(850\) | 173.136 | + | 38.5326i | 0.203689 | + | 0.0453325i | ||||
\(851\) | −189.636 | − | 19.9316i | −0.222840 | − | 0.0234214i | ||||
\(852\) | −551.942 | − | 417.343i | −0.647819 | − | 0.489839i | ||||
\(853\) | −350.261 | + | 1077.99i | −0.410622 | + | 1.26377i | 0.505486 | + | 0.862835i | \(0.331313\pi\) |
−0.916108 | + | 0.400931i | \(0.868687\pi\) | |||||||
\(854\) | 520.061 | − | 293.672i | 0.608971 | − | 0.343878i | ||||
\(855\) | 369.260 | − | 332.483i | 0.431883 | − | 0.388869i | ||||
\(856\) | −494.216 | + | 1029.60i | −0.577355 | + | 1.20281i | ||||
\(857\) | −45.8405 | − | 436.143i | −0.0534895 | − | 0.508919i | −0.988163 | − | 0.153410i | \(-0.950974\pi\) |
0.934673 | − | 0.355508i | \(-0.115692\pi\) | |||||||
\(858\) | 772.162 | − | 334.991i | 0.899955 | − | 0.390432i | ||||
\(859\) | −338.879 | − | 761.135i | −0.394504 | − | 0.886072i | −0.996179 | − | 0.0873305i | \(-0.972166\pi\) |
0.601675 | − | 0.798741i | \(-0.294500\pi\) | |||||||
\(860\) | 235.372 | + | 337.326i | 0.273689 | + | 0.392239i | ||||
\(861\) | −298.364 | − | 132.840i | −0.346532 | − | 0.154286i | ||||
\(862\) | 385.510 | − | 844.084i | 0.447227 | − | 0.979216i | ||||
\(863\) | 788.691 | + | 455.351i | 0.913894 | + | 0.527637i | 0.881682 | − | 0.471844i | \(-0.156411\pi\) |
0.0322122 | + | 0.999481i | \(0.489745\pi\) | |||||||
\(864\) | −161.344 | − | 245.956i | −0.186741 | − | 0.284671i | ||||
\(865\) | 541.224 | − | 115.041i | 0.625692 | − | 0.132995i | ||||
\(866\) | −331.499 | − | 245.718i | −0.382793 | − | 0.283739i | ||||
\(867\) | 1215.86i | 1.40238i | ||||||||
\(868\) | 30.1281 | − | 343.351i | 0.0347098 | − | 0.395566i | ||||
\(869\) | −1382.15 | −1.59051 | ||||||||
\(870\) | 500.313 | − | 674.973i | 0.575073 | − | 0.775831i | ||||
\(871\) | 72.2786 | + | 340.044i | 0.0829835 | + | 0.390407i | ||||
\(872\) | −866.562 | − | 668.339i | −0.993764 | − | 0.766444i | ||||
\(873\) | 648.322 | − | 1122.93i | 0.742637 | − | 1.28629i | ||||
\(874\) | 536.694 | + | 245.119i | 0.614067 | + | 0.280456i | ||||
\(875\) | 101.707 | − | 228.437i | 0.116236 | − | 0.261071i | ||||
\(876\) | −1367.91 | − | 1960.43i | −1.56154 | − | 2.23794i | ||||
\(877\) | 324.421 | − | 144.441i | 0.369921 | − | 0.164699i | −0.213352 | − | 0.976975i | \(-0.568438\pi\) |
0.583273 | + | 0.812276i | \(0.301772\pi\) | |||||||
\(878\) | −338.524 | − | 780.307i | −0.385563 | − | 0.888732i | ||||
\(879\) | 361.767 | − | 38.0232i | 0.411566 | − | 0.0432573i | ||||
\(880\) | 67.6766 | + | 391.336i | 0.0769052 | + | 0.444700i | ||||
\(881\) | −408.209 | − | 453.362i | −0.463348 | − | 0.514600i | 0.465507 | − | 0.885044i | \(-0.345872\pi\) |
−0.928855 | + | 0.370445i | \(0.879205\pi\) | |||||||
\(882\) | 448.624 | + | 794.463i | 0.508644 | + | 0.900752i | ||||
\(883\) | −993.086 | − | 322.673i | −1.12467 | − | 0.365428i | −0.313124 | − | 0.949712i | \(-0.601375\pi\) |
−0.811549 | + | 0.584284i | \(0.801375\pi\) | |||||||
\(884\) | 98.3351 | + | 74.3547i | 0.111239 | + | 0.0841116i | ||||
\(885\) | 52.3107 | − | 497.704i | 0.0591082 | − | 0.562377i | ||||
\(886\) | −154.164 | + | 692.692i | −0.174000 | + | 0.781819i | ||||
\(887\) | −501.954 | − | 451.962i | −0.565901 | − | 0.509540i | 0.335780 | − | 0.941940i | \(-0.391000\pi\) |
−0.901682 | + | 0.432401i | \(0.857667\pi\) | |||||||
\(888\) | 203.406 | + | 494.512i | 0.229060 | + | 0.556882i | ||||
\(889\) | 271.528 | + | 57.7151i | 0.305431 | + | 0.0649214i | ||||
\(890\) | 177.905 | − | 301.455i | 0.199893 | − | 0.338713i | ||||
\(891\) | 437.003 | − | 601.483i | 0.490463 | − | 0.675065i | ||||
\(892\) | 1001.21 | + | 936.725i | 1.12243 | + | 1.05014i | ||||
\(893\) | 199.797 | + | 346.058i | 0.223736 | + | 0.387523i | ||||
\(894\) | 2502.92 | − | 238.927i | 2.79969 | − | 0.267256i | ||||
\(895\) | 246.026 | + | 338.626i | 0.274889 | + | 0.378353i | ||||
\(896\) | −350.566 | − | 60.7411i | −0.391256 | − | 0.0677914i | ||||
\(897\) | 130.305 | + | 401.038i | 0.145268 | + | 0.447088i | ||||
\(898\) | 1045.73 | − | 744.612i | 1.16451 | − | 0.829189i | ||||
\(899\) | 1403.03 | − | 512.866i | 1.56065 | − | 0.570485i | ||||
\(900\) | 306.749 | − | 886.126i | 0.340832 | − | 0.984585i | ||||
\(901\) | 44.6656 | + | 137.467i | 0.0495733 | + | 0.152571i | ||||
\(902\) | 492.937 | + | 452.440i | 0.546494 | + | 0.501597i | ||||
\(903\) | 386.453 | + | 531.907i | 0.427966 | + | 0.589045i | ||||
\(904\) | −565.208 | − | 137.170i | −0.625230 | − | 0.151737i | ||||
\(905\) | 72.4001 | + | 125.401i | 0.0800001 | + | 0.138564i | ||||
\(906\) | −1904.34 | + | 385.812i | −2.10192 | + | 0.425842i | ||||
\(907\) | −106.278 | + | 146.279i | −0.117175 | + | 0.161278i | −0.863576 | − | 0.504219i | \(-0.831780\pi\) |
0.746400 | + | 0.665497i | \(0.231780\pi\) | |||||||
\(908\) | −1069.37 | + | 91.7856i | −1.17772 | + | 0.101085i | ||||
\(909\) | 346.282 | + | 73.6045i | 0.380948 | + | 0.0809731i | ||||
\(910\) | 59.7899 | − | 52.8100i | 0.0657031 | − | 0.0580330i | ||||
\(911\) | 238.685 | + | 214.913i | 0.262004 | + | 0.235909i | 0.789654 | − | 0.613553i | \(-0.210260\pi\) |
−0.527650 | + | 0.849462i | \(0.676927\pi\) | |||||||
\(912\) | −109.985 | − | 1650.88i | −0.120598 | − | 1.81018i | ||||
\(913\) | −123.974 | + | 1179.54i | −0.135788 | + | 1.29193i | ||||
\(914\) | 191.372 | + | 608.699i | 0.209378 | + | 0.665973i | ||||
\(915\) | −890.745 | − | 289.421i | −0.973492 | − | 0.316307i | ||||
\(916\) | 445.532 | + | 208.648i | 0.486389 | + | 0.227782i | ||||
\(917\) | −331.238 | − | 367.877i | −0.361219 | − | 0.401174i | ||||
\(918\) | −76.3704 | − | 8.76493i | −0.0831922 | − | 0.00954786i | ||||
\(919\) | −222.325 | + | 23.3673i | −0.241920 | + | 0.0254268i | −0.224713 | − | 0.974425i | \(-0.572144\pi\) |
−0.0172077 | + | 0.999852i | \(0.505478\pi\) | |||||||
\(920\) | −198.388 | + | 15.1211i | −0.215639 | + | 0.0164360i | ||||
\(921\) | 468.665 | − | 208.663i | 0.508865 | − | 0.226561i | ||||
\(922\) | −995.058 | − | 9.50208i | −1.07924 | − | 0.0103059i | ||||
\(923\) | 115.818 | − | 260.132i | 0.125480 | − | 0.281833i | ||||
\(924\) | 120.102 | + | 623.342i | 0.129980 | + | 0.674613i | ||||
\(925\) | −158.290 | + | 274.166i | −0.171124 | + | 0.296396i | ||||
\(926\) | 686.272 | + | 230.251i | 0.741115 | + | 0.248651i | ||||
\(927\) | 118.524 | + | 557.612i | 0.127858 | + | 0.601523i | ||||
\(928\) | −405.972 | − | 1487.61i | −0.437470 | − | 1.60303i | ||||
\(929\) | 474.252 | 0.510497 | 0.255248 | − | 0.966875i | \(-0.417843\pi\) | ||||
0.255248 | + | 0.966875i | \(0.417843\pi\) | |||||||
\(930\) | −428.621 | + | 329.278i | −0.460883 | + | 0.354062i | ||||
\(931\) | 953.116i | 1.02376i | ||||||||
\(932\) | −440.907 | − | 8.42144i | −0.473076 | − | 0.00903589i | ||||
\(933\) | 667.072 | − | 141.790i | 0.714975 | − | 0.151973i | ||||
\(934\) | −909.123 | − | 305.020i | −0.973365 | − | 0.326574i | ||||
\(935\) | 89.8819 | + | 51.8933i | 0.0961304 | + | 0.0555009i | ||||
\(936\) | 449.806 | − | 471.661i | 0.480562 | − | 0.503911i | ||||
\(937\) | −467.413 | − | 208.106i | −0.498840 | − | 0.222098i | 0.141864 | − | 0.989886i | \(-0.454690\pi\) |
−0.640703 | + | 0.767788i | \(0.721357\pi\) | |||||||
\(938\) | −262.179 | − | 2.50362i | −0.279508 | − | 0.00266910i | ||||
\(939\) | 534.116 | + | 1199.64i | 0.568813 | + | 1.27758i | ||||
\(940\) | −115.388 | − | 69.5904i | −0.122753 | − | 0.0740323i | ||||
\(941\) | 55.5276 | + | 528.309i | 0.0590091 | + | 0.561434i | 0.983586 | + | 0.180439i | \(0.0577518\pi\) |
−0.924577 | + | 0.380995i | \(0.875581\pi\) | |||||||
\(942\) | 521.557 | + | 59.8584i | 0.553669 | + | 0.0635439i | ||||
\(943\) | −249.107 | + | 224.297i | −0.264164 | + | 0.237854i | ||||
\(944\) | −658.601 | − | 640.204i | −0.697671 | − | 0.678182i | ||||
\(945\) | −15.3711 | + | 47.3075i | −0.0162657 | + | 0.0500608i | ||||
\(946\) | −403.979 | − | 1284.94i | −0.427039 | − | 1.35829i | ||||
\(947\) | −1528.39 | − | 160.640i | −1.61393 | − | 0.169631i | −0.745869 | − | 0.666093i | \(-0.767965\pi\) |
−0.868058 | + | 0.496462i | \(0.834632\pi\) | |||||||
\(948\) | −1788.63 | + | 755.758i | −1.88674 | + | 0.797213i | ||||
\(949\) | 658.231 | − | 731.039i | 0.693605 | − | 0.770326i | ||||
\(950\) | 734.201 | − | 648.490i | 0.772843 | − | 0.682621i | ||||
\(951\) | 10.5877 | − | 49.8111i | 0.0111332 | − | 0.0523776i | ||||
\(952\) | −70.8506 | + | 60.2105i | −0.0744229 | + | 0.0632463i | ||||
\(953\) | 297.460 | + | 216.118i | 0.312130 | + | 0.226776i | 0.732810 | − | 0.680433i | \(-0.238208\pi\) |
−0.420680 | + | 0.907209i | \(0.638208\pi\) | |||||||
\(954\) | 748.934 | − | 151.731i | 0.785046 | − | 0.159047i | ||||
\(955\) | 225.132 | − | 129.980i | 0.235740 | − | 0.136105i | ||||
\(956\) | −949.411 | + | 822.573i | −0.993107 | + | 0.860432i | ||||
\(957\) | −2225.84 | + | 1617.17i | −2.32586 | + | 1.68983i | ||||
\(958\) | 461.048 | + | 423.170i | 0.481261 | + | 0.441723i | ||||
\(959\) | −221.676 | + | 72.0268i | −0.231153 | + | 0.0751062i | ||||
\(960\) | 301.561 | + | 469.418i | 0.314126 | + | 0.488977i | ||||
\(961\) | −958.469 | + | 69.6971i | −0.997367 | + | 0.0725256i | ||||
\(962\) | −179.242 | + | 127.629i | −0.186322 | + | 0.132671i | ||||
\(963\) | 1500.65 | − | 487.592i | 1.55831 | − | 0.506326i | ||||
\(964\) | 100.862 | − | 810.432i | 0.104628 | − | 0.840697i | ||||
\(965\) | 268.366 | − | 194.979i | 0.278099 | − | 0.202051i | ||||
\(966\) | −316.589 | + | 30.2213i | −0.327732 | + | 0.0312850i | ||||
\(967\) | 719.225 | − | 415.245i | 0.743769 | − | 0.429415i | −0.0796689 | − | 0.996821i | \(-0.525386\pi\) |
0.823438 | + | 0.567406i | \(0.192053\pi\) | |||||||
\(968\) | 44.2145 | − | 329.558i | 0.0456762 | − | 0.340453i | ||||
\(969\) | −349.807 | − | 254.150i | −0.360998 | − | 0.262280i | ||||
\(970\) | −232.152 | + | 393.375i | −0.239332 | + | 0.405542i | ||||
\(971\) | −144.081 | + | 677.847i | −0.148384 | + | 0.698092i | 0.839558 | + | 0.543270i | \(0.182814\pi\) |
−0.987942 | + | 0.154822i | \(0.950519\pi\) | |||||||
\(972\) | 311.602 | − | 1339.64i | 0.320578 | − | 1.37823i | ||||
\(973\) | −115.753 | + | 128.557i | −0.118965 | + | 0.132124i | ||||
\(974\) | 62.1854 | − | 279.413i | 0.0638454 | − | 0.286871i | ||||
\(975\) | 696.257 | + | 73.1795i | 0.714109 | + | 0.0750559i | ||||
\(976\) | −1428.23 | + | 956.532i | −1.46335 | + | 0.980053i | ||||
\(977\) | 65.5268 | − | 201.671i | 0.0670694 | − | 0.206418i | −0.911905 | − | 0.410401i | \(-0.865389\pi\) |
0.978974 | + | 0.203983i | \(0.0653887\pi\) | |||||||
\(978\) | 867.019 | + | 1535.40i | 0.886523 | + | 1.56993i | ||||
\(979\) | −851.827 | + | 766.988i | −0.870099 | + | 0.783440i | ||||
\(980\) | −155.357 | − | 281.362i | −0.158528 | − | 0.287104i | ||||
\(981\) | 158.042 | + | 1503.67i | 0.161103 | + | 1.53279i | ||||
\(982\) | 167.428 | + | 385.926i | 0.170497 | + | 0.393000i | ||||
\(983\) | −770.812 | − | 1731.27i | −0.784143 | − | 1.76121i | −0.635170 | − | 0.772372i | \(-0.719070\pi\) |
−0.148973 | − | 0.988841i | \(-0.547597\pi\) | |||||||
\(984\) | 885.297 | + | 315.960i | 0.899692 | + | 0.321098i | ||||
\(985\) | −95.3944 | − | 42.4723i | −0.0968471 | − | 0.0431191i | ||||
\(986\) | −366.556 | − | 167.414i | −0.371761 | − | 0.169791i | ||||
\(987\) | −186.529 | − | 107.693i | −0.188986 | − | 0.109111i | ||||
\(988\) | 651.436 | − | 197.993i | 0.659348 | − | 0.200398i | ||||
\(989\) | 660.053 | − | 140.299i | 0.667394 | − | 0.141859i | ||||
\(990\) | 326.738 | − | 440.802i | 0.330038 | − | 0.445255i | ||||
\(991\) | − | 492.719i | − | 0.497194i | −0.968607 | − | 0.248597i | \(-0.920031\pi\) | ||
0.968607 | − | 0.248597i | \(-0.0799694\pi\) | |||||||
\(992\) | −11.3584 | + | 991.935i | −0.0114500 | + | 0.999934i | ||||
\(993\) | 390.421 | 0.393173 | ||||||||
\(994\) | 172.530 | + | 127.885i | 0.173571 | + | 0.128657i | ||||
\(995\) | 50.9464 | + | 239.684i | 0.0512024 | + | 0.240889i | ||||
\(996\) | 484.534 | + | 1594.21i | 0.486480 | + | 1.60061i | ||||
\(997\) | 193.403 | − | 334.984i | 0.193985 | − | 0.335992i | −0.752582 | − | 0.658498i | \(-0.771192\pi\) |
0.946567 | + | 0.322506i | \(0.104525\pi\) | |||||||
\(998\) | −36.4862 | + | 79.8875i | −0.0365593 | + | 0.0800476i | ||||
\(999\) | 55.8058 | − | 125.342i | 0.0558616 | − | 0.125467i |
(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 | 124.3.n.a.7.7 | ✓ | 240 | |
4.3 | odd | 2 | inner | 124.3.n.a.7.18 | yes | 240 | |
31.9 | even | 15 | inner | 124.3.n.a.71.18 | yes | 240 | |
124.71 | odd | 30 | inner | 124.3.n.a.71.7 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.3.n.a.7.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
124.3.n.a.7.18 | yes | 240 | 4.3 | odd | 2 | inner | |
124.3.n.a.71.7 | yes | 240 | 124.71 | odd | 30 | inner | |
124.3.n.a.71.18 | yes | 240 | 31.9 | even | 15 | inner |