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 | 7.18 | ||
Character | \(\chi\) | \(=\) | 124.7 |
Dual form | 124.3.n.a.71.18 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.599843 | − | 1.90793i | 0.299921 | − | 0.953964i | ||||
\(3\) | −0.931035 | − | 4.38017i | −0.310345 | − | 1.46006i | −0.806195 | − | 0.591650i | \(-0.798477\pi\) |
0.495850 | − | 0.868408i | \(-0.334857\pi\) | |||||||
\(4\) | −3.28038 | − | 2.28891i | −0.820094 | − | 0.572228i | ||||
\(5\) | −0.973390 | + | 1.68596i | −0.194678 | + | 0.337192i | −0.946795 | − | 0.321838i | \(-0.895700\pi\) |
0.752117 | + | 0.659030i | \(0.229033\pi\) | |||||||
\(6\) | −8.91553 | − | 0.851069i | −1.48592 | − | 0.141845i | ||||
\(7\) | 1.13057 | − | 2.53929i | 0.161509 | − | 0.362756i | −0.814604 | − | 0.580017i | \(-0.803046\pi\) |
0.976113 | + | 0.217261i | \(0.0697124\pi\) | |||||||
\(8\) | −6.33479 | + | 4.88573i | −0.791849 | + | 0.610717i | ||||
\(9\) | −10.0972 | + | 4.49556i | −1.12191 | + | 0.499507i | ||||
\(10\) | 2.63281 | + | 2.86847i | 0.263281 | + | 0.286847i | ||||
\(11\) | 12.6802 | − | 1.33274i | 1.15275 | − | 0.121158i | 0.491189 | − | 0.871053i | \(-0.336563\pi\) |
0.661557 | + | 0.749895i | \(0.269896\pi\) | |||||||
\(12\) | −6.97170 | + | 16.4997i | −0.580975 | + | 1.37497i | ||||
\(13\) | −4.93216 | − | 5.47772i | −0.379397 | − | 0.421363i | 0.522957 | − | 0.852359i | \(-0.324829\pi\) |
−0.902354 | + | 0.430996i | \(0.858162\pi\) | |||||||
\(14\) | −4.16662 | − | 3.68021i | −0.297616 | − | 0.262872i | ||||
\(15\) | 8.29106 | + | 2.69393i | 0.552738 | + | 0.179595i | ||||
\(16\) | 5.52175 | + | 15.0170i | 0.345109 | + | 0.938563i | ||||
\(17\) | −0.437066 | + | 4.15841i | −0.0257098 | + | 0.244612i | 0.974118 | + | 0.226041i | \(0.0725784\pi\) |
−0.999828 | + | 0.0185711i | \(0.994088\pi\) | |||||||
\(18\) | 2.52048 | + | 21.9613i | 0.140026 | + | 1.22007i | ||||
\(19\) | −17.1611 | − | 15.4519i | −0.903215 | − | 0.813259i | 0.0797947 | − | 0.996811i | \(-0.474574\pi\) |
−0.983010 | + | 0.183553i | \(0.941240\pi\) | |||||||
\(20\) | 7.05211 | − | 3.30258i | 0.352605 | − | 0.165129i | ||||
\(21\) | −12.1751 | − | 2.58791i | −0.579769 | − | 0.123234i | ||||
\(22\) | 5.06335 | − | 24.9924i | 0.230152 | − | 1.13602i | ||||
\(23\) | 7.50904 | − | 10.3353i | 0.326480 | − | 0.449361i | −0.613952 | − | 0.789343i | \(-0.710421\pi\) |
0.940432 | + | 0.339982i | \(0.110421\pi\) | |||||||
\(24\) | 27.2983 | + | 23.1987i | 1.13743 | + | 0.966613i | ||||
\(25\) | 10.6050 | + | 18.3684i | 0.424201 | + | 0.734738i | ||||
\(26\) | −13.4096 | + | 6.12443i | −0.515754 | + | 0.235555i | ||||
\(27\) | 5.40310 | + | 7.43672i | 0.200115 | + | 0.275434i | ||||
\(28\) | −9.52090 | + | 5.74207i | −0.340032 | + | 0.205074i | ||||
\(29\) | −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 | ||||
\(34\) | 7.67177 | + | 3.32828i | 0.225640 | + | 0.0978906i | ||||
\(35\) | 3.18067 | + | 4.37781i | 0.0908762 | + | 0.125080i | ||||
\(36\) | 43.4126 | + | 8.36447i | 1.20590 | + | 0.232346i | ||||
\(37\) | 7.46297 | + | 12.9262i | 0.201702 | + | 0.349358i | 0.949077 | − | 0.315044i | \(-0.102019\pi\) |
−0.747375 | + | 0.664402i | \(0.768686\pi\) | |||||||
\(38\) | −39.7751 | + | 23.4734i | −1.04671 | + | 0.617721i | ||||
\(39\) | −19.4014 | + | 26.7037i | −0.497471 | + | 0.684709i | ||||
\(40\) | −2.07093 | − | 15.4359i | −0.0517733 | − | 0.385898i | ||||
\(41\) | 25.6656 | + | 5.45538i | 0.625989 | + | 0.133058i | 0.509975 | − | 0.860189i | \(-0.329655\pi\) |
0.116015 | + | 0.993248i | \(0.462988\pi\) | |||||||
\(42\) | −12.2407 | + | 21.6770i | −0.291445 | + | 0.516118i | ||||
\(43\) | 39.2538 | + | 35.3443i | 0.912880 | + | 0.821961i | 0.984484 | − | 0.175472i | \(-0.0561452\pi\) |
−0.0716042 | + | 0.997433i | \(0.522812\pi\) | |||||||
\(44\) | −44.6464 | − | 24.6520i | −1.01469 | − | 0.560273i | ||||
\(45\) | 2.24917 | − | 21.3994i | 0.0499815 | − | 0.475542i | ||||
\(46\) | −15.2148 | − | 20.5263i | −0.330756 | − | 0.446223i | ||||
\(47\) | −16.4571 | − | 5.34723i | −0.350151 | − | 0.113771i | 0.128661 | − | 0.991689i | \(-0.458932\pi\) |
−0.478811 | + | 0.877918i | \(0.658932\pi\) | |||||||
\(48\) | 60.6361 | − | 38.1676i | 1.26325 | − | 0.795158i | ||||
\(49\) | 27.6176 | + | 30.6724i | 0.563624 | + | 0.625968i | ||||
\(50\) | 41.4070 | − | 9.21544i | 0.828140 | − | 0.184309i | ||||
\(51\) | 18.6215 | − | 1.95720i | 0.365127 | − | 0.0383764i | ||||
\(52\) | 3.64132 | + | 29.2583i | 0.0700254 | + | 0.562659i | ||||
\(53\) | 31.5797 | − | 14.0602i | 0.595843 | − | 0.265287i | −0.0865785 | − | 0.996245i | \(-0.527593\pi\) |
0.682422 | + | 0.730958i | \(0.260927\pi\) | |||||||
\(54\) | 17.4297 | − | 5.84785i | 0.322773 | − | 0.108294i | ||||
\(55\) | −10.0958 | + | 22.6756i | −0.183561 | + | 0.412284i | ||||
\(56\) | 5.24441 | + | 21.6095i | 0.0936501 | + | 0.385885i | ||||
\(57\) | −51.7045 | + | 89.5548i | −0.907097 | + | 1.57114i | ||||
\(58\) | −96.3714 | + | 0.920277i | −1.66158 | + | 0.0158668i | ||||
\(59\) | −11.9352 | − | 56.1509i | −0.202292 | − | 0.951710i | −0.955742 | − | 0.294205i | \(-0.904945\pi\) |
0.753450 | − | 0.657505i | \(-0.228388\pi\) | |||||||
\(60\) | −21.0316 | − | 27.8146i | −0.350527 | − | 0.463577i | ||||
\(61\) | 107.434 | 1.76122 | 0.880610 | − | 0.473842i | \(-0.157133\pi\) | ||||
0.880610 | + | 0.473842i | \(0.157133\pi\) | |||||||
\(62\) | −59.7816 | − | 16.4367i | −0.964219 | − | 0.265108i | ||||
\(63\) | 30.7223i | 0.487655i | ||||||||
\(64\) | 16.2592 | − | 61.9002i | 0.254050 | − | 0.967191i | ||||
\(65\) | 14.0361 | − | 2.98347i | 0.215941 | − | 0.0458996i | ||||
\(66\) | −114.185 | + | 1.09038i | −1.73008 | + | 0.0165210i | ||||
\(67\) | 40.8447 | + | 23.5817i | 0.609622 | + | 0.351965i | 0.772818 | − | 0.634628i | \(-0.218847\pi\) |
−0.163195 | + | 0.986594i | \(0.552180\pi\) | |||||||
\(68\) | 10.9520 | − | 12.6407i | 0.161058 | − | 0.185893i | ||||
\(69\) | −52.2616 | − | 23.2684i | −0.757415 | − | 0.337223i | ||||
\(70\) | 10.2604 | − | 3.44248i | 0.146578 | − | 0.0491783i | ||||
\(71\) | −15.7127 | − | 35.2912i | −0.221305 | − | 0.497060i | 0.768437 | − | 0.639926i | \(-0.221035\pi\) |
−0.989742 | + | 0.142866i | \(0.954368\pi\) | |||||||
\(72\) | 41.9995 | − | 77.8106i | 0.583327 | − | 1.08070i | ||||
\(73\) | 13.9500 | + | 132.726i | 0.191097 | + | 1.81816i | 0.498842 | + | 0.866693i | \(0.333759\pi\) |
−0.307745 | + | 0.951469i | \(0.599574\pi\) | |||||||
\(74\) | 29.1390 | − | 6.48510i | 0.393770 | − | 0.0876364i | ||||
\(75\) | 70.5833 | − | 63.5535i | 0.941111 | − | 0.847380i | ||||
\(76\) | 20.9267 | + | 89.9683i | 0.275352 | + | 1.18379i | ||||
\(77\) | 10.9516 | − | 33.7055i | 0.142228 | − | 0.437734i | ||||
\(78\) | 39.3109 | + | 53.0344i | 0.503986 | + | 0.679928i | ||||
\(79\) | −107.810 | − | 11.3313i | −1.36468 | − | 0.143434i | −0.606296 | − | 0.795239i | \(-0.707345\pi\) |
−0.758387 | + | 0.651805i | \(0.774012\pi\) | |||||||
\(80\) | −30.6929 | − | 5.30795i | −0.383661 | − | 0.0663493i | ||||
\(81\) | −39.0179 | + | 43.3338i | −0.481703 | + | 0.534985i | ||||
\(82\) | 25.8038 | − | 45.6957i | 0.314680 | − | 0.557264i | ||||
\(83\) | −19.3403 | + | 90.9891i | −0.233016 | + | 1.09625i | 0.693634 | + | 0.720328i | \(0.256009\pi\) |
−0.926650 | + | 0.375926i | \(0.877325\pi\) | |||||||
\(84\) | 34.0156 | + | 36.3572i | 0.404947 | + | 0.432823i | ||||
\(85\) | −6.58548 | − | 4.78463i | −0.0774762 | − | 0.0562897i | ||||
\(86\) | 90.9806 | − | 53.6925i | 1.05791 | − | 0.624331i | ||||
\(87\) | −186.877 | + | 107.893i | −2.14801 | + | 1.24015i | ||||
\(88\) | −73.8151 | + | 70.3948i | −0.838807 | + | 0.799941i | ||||
\(89\) | 72.7316 | − | 52.8426i | 0.817209 | − | 0.593737i | −0.0987023 | − | 0.995117i | \(-0.531469\pi\) |
0.915912 | + | 0.401380i | \(0.131469\pi\) | |||||||
\(90\) | −39.4794 | − | 17.1275i | −0.438660 | − | 0.190306i | ||||
\(91\) | −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 | ||||
\(96\) | −36.4488 | − | 138.584i | −0.379675 | − | 1.44358i | ||||
\(97\) | −94.9092 | + | 68.9555i | −0.978445 | + | 0.710882i | −0.957361 | − | 0.288896i | \(-0.906712\pi\) |
−0.0210845 | + | 0.999778i | \(0.506712\pi\) | |||||||
\(98\) | 75.0870 | − | 34.2937i | 0.766194 | − | 0.349936i | ||||
\(99\) | −122.043 | + | 70.4616i | −1.23276 | + | 0.711733i | ||||
\(100\) | 7.25530 | − | 84.5294i | 0.0725530 | − | 0.845294i | ||||
\(101\) | −25.9127 | − | 18.8267i | −0.256561 | − | 0.186403i | 0.452068 | − | 0.891983i | \(-0.350686\pi\) |
−0.708630 | + | 0.705581i | \(0.750686\pi\) | |||||||
\(102\) | 7.43577 | − | 36.7024i | 0.0728997 | − | 0.359828i | ||||
\(103\) | −10.7235 | + | 50.4500i | −0.104111 | + | 0.489806i | 0.894937 | + | 0.446193i | \(0.147220\pi\) |
−0.999048 | + | 0.0436135i | \(0.986113\pi\) | |||||||
\(104\) | 58.0069 | + | 10.6030i | 0.557759 | + | 0.101952i | ||||
\(105\) | 16.2143 | − | 18.0078i | 0.154422 | − | 0.171503i | ||||
\(106\) | −7.88297 | − | 68.6857i | −0.0743676 | − | 0.647978i | ||||
\(107\) | 141.977 | + | 14.9224i | 1.32689 | + | 0.139461i | 0.741314 | − | 0.671158i | \(-0.234203\pi\) |
0.585573 | + | 0.810620i | \(0.300870\pi\) | |||||||
\(108\) | −0.702174 | − | 36.7625i | −0.00650161 | − | 0.340393i | ||||
\(109\) | 42.2717 | − | 130.099i | 0.387814 | − | 1.19357i | −0.546605 | − | 0.837391i | \(-0.684080\pi\) |
0.934419 | − | 0.356177i | \(-0.115920\pi\) | |||||||
\(110\) | 37.2075 | + | 32.8639i | 0.338250 | + | 0.298763i | ||||
\(111\) | 49.6709 | − | 44.7239i | 0.447486 | − | 0.402918i | ||||
\(112\) | 44.3753 | + | 2.95637i | 0.396208 | + | 0.0263962i | ||||
\(113\) | −7.59941 | − | 72.3035i | −0.0672514 | − | 0.639854i | −0.975284 | − | 0.220955i | \(-0.929083\pi\) |
0.908033 | − | 0.418899i | \(-0.137584\pi\) | |||||||
\(114\) | 139.850 | + | 152.367i | 1.22675 | + | 1.33656i | ||||
\(115\) | 10.1157 | + | 22.7202i | 0.0879626 | + | 0.197567i | ||||
\(116\) | −56.0519 | + | 184.422i | −0.483206 | + | 1.58984i | ||||
\(117\) | 74.4264 | + | 33.1368i | 0.636123 | + | 0.283220i | ||||
\(118\) | −114.291 | − | 10.9101i | −0.968569 | − | 0.0924588i | ||||
\(119\) | 10.0653 | + | 5.81119i | 0.0845822 | + | 0.0488335i | ||||
\(120\) | −65.6840 | + | 23.4424i | −0.547367 | + | 0.195354i | ||||
\(121\) | 40.6556 | − | 8.64161i | 0.335997 | − | 0.0714183i | ||||
\(122\) | 64.4438 | − | 204.977i | 0.528227 | − | 1.68014i | ||||
\(123\) | − | 117.499i | − | 0.955275i | ||||||
\(124\) | −67.2195 | + | 104.199i | −0.542093 | + | 0.840318i | ||||
\(125\) | −89.9608 | −0.719686 | ||||||||
\(126\) | 58.6158 | + | 18.4285i | 0.465205 | + | 0.146258i | ||||
\(127\) | 20.7638 | + | 97.6860i | 0.163495 | + | 0.769181i | 0.981115 | + | 0.193424i | \(0.0619594\pi\) |
−0.817621 | + | 0.575757i | \(0.804707\pi\) | |||||||
\(128\) | −108.348 | − | 68.1518i | −0.846470 | − | 0.532436i | ||||
\(129\) | 118.268 | − | 204.846i | 0.916803 | − | 1.58795i | ||||
\(130\) | 2.72722 | − | 28.5695i | 0.0209787 | − | 0.219766i | ||||
\(131\) | 72.4368 | − | 162.696i | 0.552953 | − | 1.24195i | −0.393564 | − | 0.919297i | \(-0.628758\pi\) |
0.946517 | − | 0.322655i | \(-0.104575\pi\) | |||||||
\(132\) | −66.4127 | + | 218.511i | −0.503127 | + | 1.65539i | ||||
\(133\) | −58.6387 | + | 26.1076i | −0.440892 | + | 0.196298i | ||||
\(134\) | 69.4925 | − | 63.7834i | 0.518601 | − | 0.475995i | ||||
\(135\) | −17.7973 | + | 1.87058i | −0.131832 | + | 0.0138561i | ||||
\(136\) | −17.5481 | − | 28.4780i | −0.129031 | − | 0.209397i | ||||
\(137\) | 56.1100 | + | 62.3165i | 0.409562 | + | 0.454865i | 0.912269 | − | 0.409592i | \(-0.134329\pi\) |
−0.502707 | + | 0.864457i | \(0.667662\pi\) | |||||||
\(138\) | −75.7431 | + | 85.7540i | −0.548863 | + | 0.621406i | ||||
\(139\) | −59.1897 | − | 19.2319i | −0.425825 | − | 0.138359i | 0.0882611 | − | 0.996097i | \(-0.471869\pi\) |
−0.514087 | + | 0.857738i | \(0.671869\pi\) | |||||||
\(140\) | −0.413352 | − | 21.6411i | −0.00295251 | − | 0.154580i | ||||
\(141\) | −8.09969 | + | 77.0634i | −0.0574446 | + | 0.546549i | ||||
\(142\) | −76.7583 | + | 8.80945i | −0.540551 | + | 0.0620384i | ||||
\(143\) | −69.8412 | − | 62.8853i | −0.488400 | − | 0.439757i | ||||
\(144\) | −123.264 | − | 126.806i | −0.856000 | − | 0.880599i | ||||
\(145\) | 91.7613 | + | 19.5045i | 0.632836 | + | 0.134514i | ||||
\(146\) | 261.599 | + | 52.9990i | 1.79177 | + | 0.363007i | ||||
\(147\) | 108.638 | − | 149.527i | 0.739032 | − | 1.01719i | ||||
\(148\) | 5.10570 | − | 59.4851i | 0.0344980 | − | 0.401926i | ||||
\(149\) | 140.369 | + | 243.126i | 0.942072 | + | 1.63172i | 0.761511 | + | 0.648152i | \(0.224458\pi\) |
0.180561 | + | 0.983564i | \(0.442209\pi\) | |||||||
\(150\) | −78.9166 | − | 172.790i | −0.526111 | − | 1.15193i | ||||
\(151\) | 127.521 | + | 175.518i | 0.844510 | + | 1.16237i | 0.985046 | + | 0.172293i | \(0.0551174\pi\) |
−0.140536 | + | 0.990076i | \(0.544883\pi\) | |||||||
\(152\) | 184.206 | + | 14.0402i | 1.21188 | + | 0.0923694i | ||||
\(153\) | −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 | \(0.840227\pi\) | |||||||
\(158\) | −86.2883 | + | 198.897i | −0.546128 | + | 1.25884i | ||||
\(159\) | −90.9879 | − | 125.234i | −0.572251 | − | 0.787636i | ||||
\(160\) | −28.5381 | + | 55.3759i | −0.178363 | + | 0.346099i | ||||
\(161\) | −17.7549 | − | 30.7524i | −0.110279 | − | 0.191009i | ||||
\(162\) | 59.2732 | + | 100.437i | 0.365884 | + | 0.619981i | ||||
\(163\) | 115.724 | − | 159.280i | 0.709963 | − | 0.977180i | −0.289835 | − | 0.957077i | \(-0.593600\pi\) |
0.999798 | − | 0.0201036i | \(-0.00639960\pi\) | |||||||
\(164\) | −71.7058 | − | 76.6420i | −0.437231 | − | 0.467329i | ||||
\(165\) | 108.723 | + | 23.1097i | 0.658926 | + | 0.140059i | ||||
\(166\) | 161.999 | + | 91.4791i | 0.975900 | + | 0.551079i | ||||
\(167\) | 42.8530 | + | 38.5850i | 0.256605 | + | 0.231048i | 0.787385 | − | 0.616462i | \(-0.211434\pi\) |
−0.530780 | + | 0.847509i | \(0.678101\pi\) | |||||||
\(168\) | 89.7708 | − | 43.0907i | 0.534350 | − | 0.256492i | ||||
\(169\) | 11.9861 | − | 114.040i | 0.0709237 | − | 0.674794i | ||||
\(170\) | −13.0790 | + | 9.69459i | −0.0769352 | + | 0.0570270i | ||||
\(171\) | 242.744 | + | 78.8723i | 1.41955 | + | 0.461241i | ||||
\(172\) | −47.8673 | − | 205.791i | −0.278298 | − | 1.19646i | ||||
\(173\) | −190.181 | − | 211.217i | −1.09931 | − | 1.22091i | −0.973460 | − | 0.228859i | \(-0.926500\pi\) |
−0.125851 | − | 0.992049i | \(-0.540166\pi\) | |||||||
\(174\) | 93.7561 | + | 421.267i | 0.538828 | + | 2.42107i | ||||
\(175\) | 58.6325 | − | 6.16253i | 0.335043 | − | 0.0352144i | ||||
\(176\) | 90.0307 | + | 183.060i | 0.511538 | + | 1.04011i | ||||
\(177\) | −234.839 | + | 104.557i | −1.32677 | + | 0.590717i | ||||
\(178\) | −57.1924 | − | 170.464i | −0.321305 | − | 0.957663i | ||||
\(179\) | −87.4498 | + | 196.415i | −0.488546 | + | 1.09729i | 0.486174 | + | 0.873862i | \(0.338392\pi\) |
−0.974720 | + | 0.223431i | \(0.928274\pi\) | |||||||
\(180\) | −56.3595 | + | 65.0500i | −0.313108 | + | 0.361389i | ||||
\(181\) | 37.1897 | − | 64.4144i | 0.205468 | − | 0.355881i | −0.744814 | − | 0.667272i | \(-0.767462\pi\) |
0.950282 | + | 0.311392i | \(0.100795\pi\) | |||||||
\(182\) | 0.391281 | + | 40.9750i | 0.00214990 | + | 0.225137i | ||||
\(183\) | −100.025 | − | 470.581i | −0.546586 | − | 2.57148i | ||||
\(184\) | 2.92735 | + | 102.159i | 0.0159095 | + | 0.555213i | ||||
\(185\) | −29.0575 | −0.157068 | ||||||||
\(186\) | −16.3368 | + | 277.157i | −0.0878322 | + | 1.49009i | ||||
\(187\) | 53.3120i | 0.285091i | ||||||||
\(188\) | 41.7461 | + | 55.2098i | 0.222054 | + | 0.293669i | ||||
\(189\) | 24.9926 | − | 5.31234i | 0.132236 | − | 0.0281076i | ||||
\(190\) | −0.858556 | − | 89.9080i | −0.00451872 | − | 0.473200i | ||||
\(191\) | 115.643 | + | 66.7666i | 0.605462 | + | 0.349564i | 0.771187 | − | 0.636608i | \(-0.219663\pi\) |
−0.165725 | + | 0.986172i | \(0.552997\pi\) | |||||||
\(192\) | −286.272 | − | 13.5869i | −1.49100 | − | 0.0707650i | ||||
\(193\) | −155.662 | − | 69.3053i | −0.806540 | − | 0.359095i | −0.0383077 | − | 0.999266i | \(-0.512197\pi\) |
−0.768232 | + | 0.640171i | \(0.778863\pi\) | |||||||
\(194\) | 74.6316 | + | 222.442i | 0.384699 | + | 1.14661i | ||||
\(195\) | −26.1363 | − | 58.7030i | −0.134032 | − | 0.301041i | ||||
\(196\) | −20.3895 | − | 163.831i | −0.104028 | − | 0.835874i | ||||
\(197\) | 5.60674 | + | 53.3445i | 0.0284606 | + | 0.270784i | 0.999493 | + | 0.0318369i | \(0.0101357\pi\) |
−0.971032 | + | 0.238948i | \(0.923198\pi\) | |||||||
\(198\) | 61.2290 | + | 275.115i | 0.309237 | + | 1.38947i | ||||
\(199\) | −93.5387 | + | 84.2226i | −0.470044 | + | 0.423229i | −0.869809 | − | 0.493388i | \(-0.835758\pi\) |
0.399765 | + | 0.916617i | \(0.369092\pi\) | |||||||
\(200\) | −156.924 | − | 64.5469i | −0.784620 | − | 0.322735i | ||||
\(201\) | 65.2641 | − | 200.862i | 0.324697 | − | 0.999314i | ||||
\(202\) | −51.4635 | + | 38.1465i | −0.254770 | + | 0.188844i | ||||
\(203\) | −133.209 | − | 14.0009i | −0.656204 | − | 0.0689698i | ||||
\(204\) | −65.5653 | − | 36.2026i | −0.321399 | − | 0.177464i | ||||
\(205\) | −34.1802 | + | 37.9609i | −0.166732 | + | 0.185175i | ||||
\(206\) | 89.8226 | + | 50.7217i | 0.436032 | + | 0.246222i | ||||
\(207\) | −29.3572 | + | 138.115i | −0.141822 | + | 0.667222i | ||||
\(208\) | 55.0248 | − | 104.313i | 0.264542 | − | 0.501504i | ||||
\(209\) | −238.200 | − | 173.062i | −1.13971 | − | 0.828048i | ||||
\(210\) | −24.6315 | − | 41.7375i | −0.117293 | − | 0.198750i | ||||
\(211\) | −339.321 | + | 195.907i | −1.60816 | + | 0.928470i | −0.618374 | + | 0.785884i | \(0.712208\pi\) |
−0.989782 | + | 0.142586i | \(0.954458\pi\) | |||||||
\(212\) | −135.776 | − | 26.1605i | −0.640452 | − | 0.123399i | ||||
\(213\) | −139.953 | + | 101.682i | −0.657055 | + | 0.477379i | ||||
\(214\) | 113.635 | − | 261.931i | 0.531003 | − | 1.22398i | ||||
\(215\) | −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 | ||||
\(220\) | 85.0207 | − | 51.2761i | 0.386458 | − | 0.233073i | ||||
\(221\) | 24.9343 | − | 18.1158i | 0.112825 | − | 0.0819720i | ||||
\(222\) | −55.5352 | − | 121.596i | −0.250159 | − | 0.547729i | ||||
\(223\) | −296.848 | + | 171.385i | −1.33116 | + | 0.768545i | −0.985477 | − | 0.169807i | \(-0.945685\pi\) |
−0.345681 | + | 0.938352i | \(0.612352\pi\) | |||||||
\(224\) | 32.2587 | − | 82.8914i | 0.144012 | − | 0.370051i | ||||
\(225\) | −189.657 | − | 137.794i | −0.842922 | − | 0.612419i | ||||
\(226\) | −142.508 | − | 28.8716i | −0.630568 | − | 0.127751i | ||||
\(227\) | 55.7879 | − | 262.461i | 0.245762 | − | 1.15622i | −0.666146 | − | 0.745822i | \(-0.732057\pi\) |
0.911907 | − | 0.410396i | \(-0.134610\pi\) | |||||||
\(228\) | 374.594 | − | 175.426i | 1.64295 | − | 0.769414i | ||||
\(229\) | 82.2978 | − | 91.4009i | 0.359379 | − | 0.399131i | −0.536158 | − | 0.844118i | \(-0.680125\pi\) |
0.895537 | + | 0.444987i | \(0.146792\pi\) | |||||||
\(230\) | 49.4164 | − | 5.67145i | 0.214854 | − | 0.0246585i | ||||
\(231\) | −157.832 | − | 16.5888i | −0.683257 | − | 0.0718132i | ||||
\(232\) | 318.241 | + | 217.567i | 1.37173 | + | 0.937789i | ||||
\(233\) | −34.0681 | + | 104.851i | −0.146215 | + | 0.450004i | −0.997165 | − | 0.0752425i | \(-0.976027\pi\) |
0.850950 | + | 0.525247i | \(0.176027\pi\) | |||||||
\(234\) | 107.867 | − | 122.123i | 0.460969 | − | 0.521895i | ||||
\(235\) | 25.0344 | − | 22.5411i | 0.106529 | − | 0.0959194i | ||||
\(236\) | −89.3725 | + | 211.515i | −0.378697 | + | 0.896250i | ||||
\(237\) | 50.7418 | + | 482.776i | 0.214100 | + | 2.03703i | ||||
\(238\) | 17.1249 | − | 15.7180i | 0.0719534 | − | 0.0660421i | ||||
\(239\) | −127.734 | − | 286.896i | −0.534453 | − | 1.20040i | −0.955939 | − | 0.293567i | \(-0.905158\pi\) |
0.421485 | − | 0.906835i | \(-0.361509\pi\) | |||||||
\(240\) | 5.32642 | + | 139.382i | 0.0221934 | + | 0.580759i | ||||
\(241\) | −186.520 | − | 83.0438i | −0.773940 | − | 0.344580i | −0.0185262 | − | 0.999828i | \(-0.505897\pi\) |
−0.755414 | + | 0.655248i | \(0.772564\pi\) | |||||||
\(242\) | 7.89939 | − | 82.7515i | 0.0326421 | − | 0.341949i | ||||
\(243\) | 297.784 | + | 171.925i | 1.22545 | + | 0.707512i | ||||
\(244\) | −352.425 | − | 245.908i | −1.44437 | − | 1.00782i | ||||
\(245\) | −78.5952 | + | 16.7059i | −0.320797 | + | 0.0681874i | ||||
\(246\) | −224.179 | − | 70.4808i | −0.911297 | − | 0.286507i | ||||
\(247\) | 170.215i | 0.689129i | ||||||||
\(248\) | 158.484 | + | 190.753i | 0.639048 | + | 0.769167i | ||||
\(249\) | 416.555 | 1.67291 | ||||||||
\(250\) | −53.9623 | + | 171.639i | −0.215849 | + | 0.686555i | ||||
\(251\) | −22.2739 | − | 104.790i | −0.0887405 | − | 0.417491i | −0.999984 | − | 0.00562351i | \(-0.998210\pi\) |
0.911244 | − | 0.411868i | \(-0.135123\pi\) | |||||||
\(252\) | 70.3206 | − | 100.781i | 0.279050 | − | 0.399923i | ||||
\(253\) | 81.4419 | − | 141.061i | 0.321905 | − | 0.557555i | ||||
\(254\) | 198.833 | + | 18.9804i | 0.782807 | + | 0.0747261i | ||||
\(255\) | −14.8262 | + | 33.3002i | −0.0581420 | + | 0.130589i | ||||
\(256\) | −195.021 | + | 165.840i | −0.761799 | + | 0.647813i | ||||
\(257\) | 259.937 | − | 115.731i | 1.01143 | − | 0.450316i | 0.166982 | − | 0.985960i | \(-0.446598\pi\) |
0.844444 | + | 0.535644i | \(0.179931\pi\) | |||||||
\(258\) | −319.888 | − | 348.521i | −1.23988 | − | 1.35086i | ||||
\(259\) | 41.2609 | − | 4.33670i | 0.159309 | − | 0.0167440i | ||||
\(260\) | −52.8727 | − | 22.3406i | −0.203357 | − | 0.0859253i | ||||
\(261\) | 356.385 | + | 395.806i | 1.36546 | + | 1.51650i | ||||
\(262\) | −266.961 | − | 235.796i | −1.01894 | − | 0.899985i | ||||
\(263\) | −184.992 | − | 60.1075i | −0.703391 | − | 0.228545i | −0.0645834 | − | 0.997912i | \(-0.520572\pi\) |
−0.638807 | + | 0.769367i | \(0.720572\pi\) | |||||||
\(264\) | 377.066 | + | 257.783i | 1.42828 | + | 0.976450i | ||||
\(265\) | −7.03444 | + | 66.9282i | −0.0265450 | + | 0.252559i | ||||
\(266\) | 14.6375 | + | 127.539i | 0.0550281 | + | 0.479469i | ||||
\(267\) | −299.176 | − | 269.379i | −1.12051 | − | 1.00891i | ||||
\(268\) | −80.0095 | − | 170.847i | −0.298543 | − | 0.637488i | ||||
\(269\) | −339.900 | − | 72.2479i | −1.26357 | − | 0.268579i | −0.473059 | − | 0.881031i | \(-0.656850\pi\) |
−0.790508 | + | 0.612451i | \(0.790184\pi\) | |||||||
\(270\) | −7.10669 | + | 35.0781i | −0.0263211 | + | 0.129919i | ||||
\(271\) | −125.277 | + | 172.429i | −0.462277 | + | 0.636270i | −0.974979 | − | 0.222297i | \(-0.928645\pi\) |
0.512702 | + | 0.858567i | \(0.328645\pi\) | |||||||
\(272\) | −64.8602 | + | 16.3983i | −0.238457 | + | 0.0602877i | ||||
\(273\) | 45.8739 | + | 79.4560i | 0.168036 | + | 0.291047i | ||||
\(274\) | 152.552 | − | 69.6737i | 0.556761 | − | 0.254284i | ||||
\(275\) | 158.954 | + | 218.782i | 0.578016 | + | 0.795570i | ||||
\(276\) | 118.179 | + | 195.951i | 0.428183 | + | 0.709969i | ||||
\(277\) | 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 | \(0.658097\pi\) | |||||||
\(282\) | 142.173 | + | 61.6795i | 0.504159 | + | 0.218722i | ||||
\(283\) | 104.316 | + | 143.578i | 0.368606 | + | 0.507343i | 0.952521 | − | 0.304472i | \(-0.0984800\pi\) |
−0.583915 | + | 0.811815i | \(0.698480\pi\) | |||||||
\(284\) | −29.2351 | + | 151.734i | −0.102941 | + | 0.534273i | ||||
\(285\) | −100.657 | − | 174.344i | −0.353183 | − | 0.611732i | ||||
\(286\) | −161.874 | + | 95.5307i | −0.565994 | + | 0.334023i | ||||
\(287\) | 42.8694 | − | 59.0047i | 0.149371 | − | 0.205591i | ||||
\(288\) | −315.876 | + | 159.115i | −1.09679 | + | 0.552483i | ||||
\(289\) | 265.583 | + | 56.4515i | 0.918973 | + | 0.195334i | ||||
\(290\) | 92.2554 | − | 163.374i | 0.318122 | − | 0.563360i | ||||
\(291\) | 390.401 | + | 351.519i | 1.34158 | + | 1.20797i | ||||
\(292\) | 258.037 | − | 467.321i | 0.883687 | − | 1.60042i | ||||
\(293\) | 8.49106 | − | 80.7870i | 0.0289797 | − | 0.275724i | −0.970430 | − | 0.241381i | \(-0.922400\pi\) |
0.999410 | − | 0.0343425i | \(-0.0109337\pi\) | |||||||
\(294\) | −220.121 | − | 296.965i | −0.748711 | − | 1.01009i | ||||
\(295\) | 106.286 | + | 34.5344i | 0.360291 | + | 0.117066i | ||||
\(296\) | −110.431 | − | 45.4230i | −0.373076 | − | 0.153456i | ||||
\(297\) | 78.4236 | + | 87.0983i | 0.264053 | + | 0.293260i | ||||
\(298\) | 548.065 | − | 121.976i | 1.83915 | − | 0.409316i | ||||
\(299\) | −93.6497 | + | 9.84298i | −0.313210 | + | 0.0329197i | ||||
\(300\) | −377.008 | + | 46.9203i | −1.25669 | + | 0.156401i | ||||
\(301\) | 134.129 | − | 59.7179i | 0.445610 | − | 0.198398i | ||||
\(302\) | 411.367 | − | 138.018i | 1.36214 | − | 0.457013i | ||||
\(303\) | −58.3385 | + | 131.030i | −0.192536 | + | 0.432444i | ||||
\(304\) | 137.282 | − | 343.030i | 0.451586 | − | 1.12839i | ||||
\(305\) | −104.576 | + | 181.130i | −0.342871 | + | 0.593870i | ||||
\(306\) | −92.4258 | + | 0.882599i | −0.302045 | + | 0.00288431i | ||||
\(307\) | 23.8190 | + | 112.060i | 0.0775865 | + | 0.365016i | 0.999763 | − | 0.0217527i | \(-0.00692466\pi\) |
−0.922177 | + | 0.386768i | \(0.873591\pi\) | |||||||
\(308\) | −113.074 | + | 85.4995i | −0.367124 | + | 0.277596i | ||||
\(309\) | 230.964 | 0.747456 | ||||||||
\(310\) | 85.9024 | − | 84.7901i | 0.277104 | − | 0.273516i | ||||
\(311\) | 152.293i | 0.489689i | 0.969562 | + | 0.244845i | \(0.0787370\pi\) | ||||
−0.969562 | + | 0.244845i | \(0.921263\pi\) | |||||||
\(312\) | −7.56349 | − | 263.952i | −0.0242420 | − | 0.846000i | ||||
\(313\) | 286.840 | − | 60.9697i | 0.916421 | − | 0.194791i | 0.274522 | − | 0.961581i | \(-0.411480\pi\) |
0.641899 | + | 0.766789i | \(0.278147\pi\) | |||||||
\(314\) | 117.229 | − | 1.11945i | 0.373342 | − | 0.00356514i | ||||
\(315\) | −51.7965 | − | 29.9047i | −0.164433 | − | 0.0949357i | ||||
\(316\) | 327.721 | + | 283.939i | 1.03709 | + | 0.898540i | ||||
\(317\) | −10.3888 | − | 4.62539i | −0.0327722 | − | 0.0145911i | 0.390285 | − | 0.920694i | \(-0.372376\pi\) |
−0.423057 | + | 0.906103i | \(0.639043\pi\) | |||||||
\(318\) | −293.516 | + | 98.4776i | −0.923006 | + | 0.309678i | ||||
\(319\) | −249.898 | − | 561.281i | −0.783381 | − | 1.75950i | ||||
\(320\) | 88.5348 | + | 87.6654i | 0.276671 | + | 0.273955i | ||||
\(321\) | −66.8229 | − | 635.777i | −0.208171 | − | 1.98061i | ||||
\(322\) | −69.3235 | + | 15.4285i | −0.215290 | + | 0.0479145i | ||||
\(323\) | 71.7559 | − | 64.6093i | 0.222154 | − | 0.200029i | ||||
\(324\) | 227.181 | − | 52.8426i | 0.701176 | − | 0.163094i | ||||
\(325\) | 48.3115 | − | 148.687i | 0.148651 | − | 0.457500i | ||||
\(326\) | −234.479 | − | 316.336i | −0.719262 | − | 0.970356i | ||||
\(327\) | −609.212 | − | 64.0308i | −1.86303 | − | 0.195813i | ||||
\(328\) | −189.240 | + | 90.8364i | −0.576950 | + | 0.276940i | ||||
\(329\) | −32.1840 | + | 35.7440i | −0.0978237 | + | 0.108644i | ||||
\(330\) | 109.308 | − | 193.573i | 0.331237 | − | 0.586585i | ||||
\(331\) | −18.1270 | + | 85.2806i | −0.0547642 | + | 0.257645i | −0.997010 | − | 0.0772780i | \(-0.975377\pi\) |
0.942245 | + | 0.334923i | \(0.108710\pi\) | |||||||
\(332\) | 271.710 | − | 254.210i | 0.818403 | − | 0.765693i | ||||
\(333\) | −133.466 | − | 96.9686i | −0.400798 | − | 0.291197i | ||||
\(334\) | 99.3224 | − | 58.6154i | 0.297372 | − | 0.175495i | ||||
\(335\) | −79.5156 | + | 45.9084i | −0.237360 | + | 0.137040i | ||||
\(336\) | −28.3655 | − | 197.124i | −0.0844211 | − | 0.586678i | ||||
\(337\) | 227.924 | − | 165.597i | 0.676333 | − | 0.491385i | −0.195806 | − | 0.980643i | \(-0.562732\pi\) |
0.872139 | + | 0.489258i | \(0.162732\pi\) | |||||||
\(338\) | −210.391 | − | 91.2749i | −0.622458 | − | 0.270044i | ||||
\(339\) | −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 | ||||
\(344\) | −421.348 | − | 32.1151i | −1.22485 | − | 0.0933578i | ||||
\(345\) | 90.1005 | − | 65.4618i | 0.261161 | − | 0.189744i | ||||
\(346\) | −517.066 | + | 236.154i | −1.49441 | + | 0.682526i | ||||
\(347\) | −242.862 | + | 140.216i | −0.699889 | + | 0.404081i | −0.807306 | − | 0.590133i | \(-0.799075\pi\) |
0.107417 | + | 0.994214i | \(0.465742\pi\) | |||||||
\(348\) | 859.986 | + | 73.8140i | 2.47122 | + | 0.212109i | ||||
\(349\) | −156.636 | − | 113.803i | −0.448814 | − | 0.326082i | 0.340314 | − | 0.940312i | \(-0.389467\pi\) |
−0.789127 | + | 0.614230i | \(0.789467\pi\) | |||||||
\(350\) | 23.4126 | − | 115.563i | 0.0668933 | − | 0.330180i | ||||
\(351\) | 14.0873 | − | 66.2758i | 0.0401349 | − | 0.188820i | ||||
\(352\) | 403.269 | − | 61.9651i | 1.14565 | − | 0.176037i | ||||
\(353\) | 12.7175 | − | 14.1242i | 0.0360270 | − | 0.0400120i | −0.724862 | − | 0.688894i | \(-0.758097\pi\) |
0.760889 | + | 0.648882i | \(0.224763\pi\) | |||||||
\(354\) | 58.6207 | + | 510.773i | 0.165595 | + | 1.44286i | ||||
\(355\) | 74.7942 | + | 7.86119i | 0.210688 | + | 0.0221442i | ||||
\(356\) | −359.539 | + | 6.86731i | −1.00994 | + | 0.0192902i | ||||
\(357\) | 16.0829 | − | 49.4981i | 0.0450502 | − | 0.138650i | ||||
\(358\) | 322.290 | + | 284.666i | 0.900252 | + | 0.795157i | ||||
\(359\) | 198.377 | − | 178.619i | 0.552582 | − | 0.497547i | −0.344875 | − | 0.938649i | \(-0.612079\pi\) |
0.897457 | + | 0.441101i | \(0.145412\pi\) | |||||||
\(360\) | 90.3038 | + | 146.550i | 0.250844 | + | 0.407082i | ||||
\(361\) | 18.0065 | + | 171.321i | 0.0498796 | + | 0.474573i | ||||
\(362\) | −100.590 | − | 109.594i | −0.277873 | − | 0.302745i | ||||
\(363\) | −75.7035 | − | 170.033i | −0.208550 | − | 0.468410i | ||||
\(364\) | 78.4121 | + | 23.8320i | 0.215418 | + | 0.0654726i | ||||
\(365\) | −237.349 | − | 105.675i | −0.650272 | − | 0.289520i | ||||
\(366\) | −957.835 | − | 91.4341i | −2.61703 | − | 0.249820i | ||||
\(367\) | 514.994 | + | 297.332i | 1.40325 | + | 0.810168i | 0.994725 | − | 0.102578i | \(-0.0327090\pi\) |
0.408528 | + | 0.912746i | \(0.366042\pi\) | |||||||
\(368\) | 196.668 | + | 55.6943i | 0.534425 | + | 0.151343i | ||||
\(369\) | −283.675 | + | 60.2970i | −0.768767 | + | 0.163407i | ||||
\(370\) | −17.4300 | + | 55.4397i | −0.0471080 | + | 0.149837i | ||||
\(371\) | − | 96.0861i | − | 0.258992i | ||||||
\(372\) | 518.996 | + | 197.420i | 1.39515 | + | 0.530699i | ||||
\(373\) | −406.698 | −1.09034 | −0.545172 | − | 0.838325i | \(-0.683535\pi\) | ||||
−0.545172 | + | 0.838325i | \(0.683535\pi\) | |||||||
\(374\) | 101.715 | + | 31.9788i | 0.271966 | + | 0.0855048i | ||||
\(375\) | 83.7566 | + | 394.044i | 0.223351 | + | 1.05078i | ||||
\(376\) | 130.377 | − | 46.5313i | 0.346748 | − | 0.123754i | ||||
\(377\) | −177.596 | + | 307.606i | −0.471078 | + | 0.815931i | ||||
\(378\) | 4.85606 | − | 50.8706i | 0.0128467 | − | 0.134578i | ||||
\(379\) | −47.2020 | + | 106.018i | −0.124544 | + | 0.279730i | −0.965047 | − | 0.262077i | \(-0.915593\pi\) |
0.840503 | + | 0.541806i | \(0.182259\pi\) | |||||||
\(380\) | −172.053 | − | 52.2926i | −0.452771 | − | 0.137612i | ||||
\(381\) | 408.550 | − | 181.898i | 1.07231 | − | 0.477423i | ||||
\(382\) | 196.754 | − | 180.589i | 0.515062 | − | 0.472747i | ||||
\(383\) | 229.082 | − | 24.0775i | 0.598125 | − | 0.0628655i | 0.199372 | − | 0.979924i | \(-0.436110\pi\) |
0.398753 | + | 0.917058i | \(0.369443\pi\) | |||||||
\(384\) | −197.641 | + | 538.036i | −0.514690 | + | 1.40113i | ||||
\(385\) | 46.1660 | + | 51.2725i | 0.119912 | + | 0.133175i | ||||
\(386\) | −225.602 | + | 255.420i | −0.584462 | + | 0.661710i | ||||
\(387\) | −555.246 | − | 180.410i | −1.43474 | − | 0.466177i | ||||
\(388\) | 469.171 | − | 8.96130i | 1.20920 | − | 0.0230961i | ||||
\(389\) | −23.2427 | + | 221.140i | −0.0597499 | + | 0.568482i | 0.923163 | + | 0.384409i | \(0.125595\pi\) |
−0.982913 | + | 0.184073i | \(0.941072\pi\) | |||||||
\(390\) | −127.679 | + | 14.6535i | −0.327381 | + | 0.0375731i | ||||
\(391\) | 39.6965 | + | 35.7429i | 0.101525 | + | 0.0914140i | ||||
\(392\) | −324.809 | − | 59.3713i | −0.828594 | − | 0.151457i | ||||
\(393\) | −780.077 | − | 165.810i | −1.98493 | − | 0.421910i | ||||
\(394\) | 105.141 | + | 21.3011i | 0.266855 | + | 0.0540637i | ||||
\(395\) | 124.045 | − | 170.734i | 0.314039 | − | 0.432237i | ||||
\(396\) | 561.628 | + | 48.2054i | 1.41825 | + | 0.121731i | ||||
\(397\) | −280.531 | − | 485.893i | −0.706626 | − | 1.22391i | −0.966101 | − | 0.258163i | \(-0.916883\pi\) |
0.259475 | − | 0.965750i | \(-0.416450\pi\) | |||||||
\(398\) | 104.582 | + | 228.985i | 0.262769 | + | 0.575340i | ||||
\(399\) | 168.951 | + | 232.540i | 0.423435 | + | 0.582808i | ||||
\(400\) | −217.281 | + | 260.682i | −0.543201 | + | 0.651704i | ||||
\(401\) | 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 | ||||
\(406\) | −106.617 | + | 245.756i | −0.262604 | + | 0.605310i | ||||
\(407\) | 111.859 | + | 153.961i | 0.274839 | + | 0.378283i | ||||
\(408\) | −108.401 | + | 103.378i | −0.265688 | + | 0.253377i | ||||
\(409\) | 376.592 | + | 652.277i | 0.920764 | + | 1.59481i | 0.798236 | + | 0.602345i | \(0.205767\pi\) |
0.122528 | + | 0.992465i | \(0.460900\pi\) | |||||||
\(410\) | 51.9240 | + | 87.9839i | 0.126644 | + | 0.214595i | ||||
\(411\) | 220.717 | − | 303.790i | 0.537023 | − | 0.739149i | ||||
\(412\) | 150.653 | − | 140.950i | 0.365662 | − | 0.342112i | ||||
\(413\) | −156.077 | − | 33.1752i | −0.377911 | − | 0.0803274i | ||||
\(414\) | 245.904 | + | 138.859i | 0.593970 | + | 0.335408i | ||||
\(415\) | −134.578 | − | 121.175i | −0.324285 | − | 0.291988i | ||||
\(416\) | −166.015 | − | 167.555i | −0.399075 | − | 0.402775i | ||||
\(417\) | −29.1314 | + | 277.167i | −0.0698595 | + | 0.664669i | ||||
\(418\) | −473.072 | + | 350.658i | −1.13175 | + | 0.838894i | ||||
\(419\) | −265.116 | − | 86.1415i | −0.632736 | − | 0.205588i | −0.0249492 | − | 0.999689i | \(-0.507942\pi\) |
−0.607787 | + | 0.794100i | \(0.707942\pi\) | |||||||
\(420\) | −94.4071 | + | 21.9592i | −0.224779 | + | 0.0522838i | ||||
\(421\) | 192.838 | + | 214.169i | 0.458049 | + | 0.508714i | 0.927284 | − | 0.374359i | \(-0.122137\pi\) |
−0.469235 | + | 0.883073i | \(0.655470\pi\) | |||||||
\(422\) | 170.237 | + | 764.913i | 0.403406 | + | 1.81259i | ||||
\(423\) | 190.209 | − | 19.9918i | 0.449667 | − | 0.0472619i | ||||
\(424\) | −131.357 | + | 243.358i | −0.309803 | + | 0.573959i | ||||
\(425\) | −81.0186 | + | 36.0718i | −0.190632 | + | 0.0848748i | ||||
\(426\) | 110.052 | + | 328.013i | 0.258337 | + | 0.769983i | ||||
\(427\) | 121.462 | − | 272.807i | 0.284454 | − | 0.638893i | ||||
\(428\) | −431.582 | − | 373.924i | −1.00837 | − | 0.873654i | ||||
\(429\) | −210.424 | + | 364.465i | −0.490499 | + | 0.849569i | ||||
\(430\) | 1.96384 | + | 205.653i | 0.00456707 | + | 0.478264i | ||||
\(431\) | −96.4661 | − | 453.837i | −0.223819 | − | 1.05299i | −0.936274 | − | 0.351269i | \(-0.885750\pi\) |
0.712455 | − | 0.701718i | \(-0.247583\pi\) | |||||||
\(432\) | −81.8428 | + | 122.202i | −0.189451 | + | 0.282875i | ||||
\(433\) | 206.318 | 0.476485 | 0.238243 | − | 0.971206i | \(-0.423429\pi\) | ||||
0.238243 | + | 0.971206i | \(0.423429\pi\) | |||||||
\(434\) | −109.325 | + | 133.220i | −0.251900 | + | 0.306959i | ||||
\(435\) | − | 420.090i | − | 0.965723i | ||||||
\(436\) | −436.452 | + | 330.017i | −1.00104 | + | 0.756920i | ||||
\(437\) | −288.564 | + | 61.3361i | −0.660328 | + | 0.140357i | ||||
\(438\) | −11.4132 | − | 1195.19i | −0.0260576 | − | 2.72875i | ||||
\(439\) | −368.310 | − | 212.644i | −0.838974 | − | 0.484382i | 0.0179411 | − | 0.999839i | \(-0.494289\pi\) |
−0.856915 | + | 0.515457i | \(0.827622\pi\) | |||||||
\(440\) | −46.8320 | − | 192.971i | −0.106436 | − | 0.438570i | ||||
\(441\) | −416.750 | − | 185.549i | −0.945011 | − | 0.420746i | ||||
\(442\) | −19.6070 | − | 58.4394i | −0.0443597 | − | 0.132216i | ||||
\(443\) | 144.318 | + | 324.144i | 0.325775 | + | 0.731702i | 0.999977 | − | 0.00684525i | \(-0.00217893\pi\) |
−0.674202 | + | 0.738547i | \(0.735512\pi\) | |||||||
\(444\) | −265.309 | + | 33.0188i | −0.597542 | + | 0.0743667i | ||||
\(445\) | 18.2944 | + | 174.059i | 0.0411109 | + | 0.391144i | ||||
\(446\) | 148.929 | + | 669.170i | 0.333921 | + | 1.50038i | ||||
\(447\) | 934.245 | − | 841.198i | 2.09003 | − | 1.88187i | ||||
\(448\) | −138.801 | − | 111.269i | −0.309823 | − | 0.248369i | ||||
\(449\) | −198.349 | + | 610.455i | −0.441757 | + | 1.35959i | 0.444245 | + | 0.895905i | \(0.353472\pi\) |
−0.886002 | + | 0.463682i | \(0.846528\pi\) | |||||||
\(450\) | −376.666 | + | 279.198i | −0.837035 | + | 0.620440i | ||||
\(451\) | 332.715 | + | 34.9698i | 0.737728 | + | 0.0775383i | ||||
\(452\) | −140.568 | + | 254.577i | −0.310990 | + | 0.563224i | ||||
\(453\) | 650.071 | − | 721.977i | 1.43504 | − | 1.59377i | ||||
\(454\) | −467.294 | − | 263.875i | −1.02928 | − | 0.581222i | ||||
\(455\) | 8.29287 | − | 39.0149i | 0.0182261 | − | 0.0857470i | ||||
\(456\) | −110.004 | − | 819.926i | −0.241236 | − | 1.79808i | ||||
\(457\) | −258.106 | − | 187.525i | −0.564784 | − | 0.410339i | 0.268423 | − | 0.963301i | \(-0.413498\pi\) |
−0.833207 | + | 0.552962i | \(0.813498\pi\) | |||||||
\(458\) | −125.021 | − | 211.844i | −0.272971 | − | 0.462542i | ||||
\(459\) | −33.2864 | + | 19.2179i | −0.0725195 | + | 0.0418691i | ||||
\(460\) | 18.8213 | − | 97.6849i | 0.0409160 | − | 0.212358i | ||||
\(461\) | 402.528 | − | 292.453i | 0.873162 | − | 0.634389i | −0.0582716 | − | 0.998301i | \(-0.518559\pi\) |
0.931434 | + | 0.363911i | \(0.118559\pi\) | |||||||
\(462\) | −126.325 | + | 291.182i | −0.273431 | + | 0.630264i | ||||
\(463\) | 344.220 | − | 111.844i | 0.743456 | − | 0.241563i | 0.0872927 | − | 0.996183i | \(-0.472178\pi\) |
0.656163 | + | 0.754619i | \(0.272178\pi\) | |||||||
\(464\) | 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 | −0.753413 | − | 0.657548i | \(-0.771594\pi\) |
−0.223027 | + | 0.974812i | \(0.571594\pi\) | |||||||
\(468\) | −168.299 | − | 279.057i | −0.359614 | − | 0.596275i | ||||
\(469\) | 106.058 | − | 77.0559i | 0.226137 | − | 0.164298i | ||||
\(470\) | −27.9900 | − | 61.2849i | −0.0595532 | − | 0.130393i | ||||
\(471\) | 227.323 | − | 131.245i | 0.482639 | − | 0.278652i | ||||
\(472\) | 349.946 | + | 297.392i | 0.741411 | + | 0.630068i | ||||
\(473\) | 544.852 | + | 395.858i | 1.15191 | + | 0.836909i | ||||
\(474\) | 951.539 | + | 192.778i | 2.00747 | + | 0.406705i | ||||
\(475\) | 101.834 | − | 479.090i | 0.214387 | − | 1.00861i | ||||
\(476\) | −19.7166 | − | 42.1015i | −0.0414214 | − | 0.0884484i | ||||
\(477\) | −255.658 | + | 283.937i | −0.535971 | + | 0.595256i | ||||
\(478\) | −623.997 | + | 71.6154i | −1.30543 | + | 0.149823i | ||||
\(479\) | 311.191 | + | 32.7075i | 0.649668 | + | 0.0682828i | 0.423629 | − | 0.905836i | \(-0.360756\pi\) |
0.226038 | + | 0.974118i | \(0.427423\pi\) | |||||||
\(480\) | 269.126 | + | 73.4449i | 0.560679 | + | 0.153010i | ||||
\(481\) | 33.9978 | − | 104.634i | 0.0706814 | − | 0.217535i | ||||
\(482\) | −270.324 | + | 306.053i | −0.560838 | + | 0.634964i | ||||
\(483\) | −118.170 | + | 106.401i | −0.244659 | + | 0.220292i | ||||
\(484\) | −153.146 | − | 64.7094i | −0.316416 | − | 0.133697i | ||||
\(485\) | −23.8727 | − | 227.134i | −0.0492221 | − | 0.468317i | ||||
\(486\) | 506.645 | − | 465.021i | 1.04248 | − | 0.956834i | ||||
\(487\) | −58.2140 | − | 130.751i | −0.119536 | − | 0.268482i | 0.843861 | − | 0.536562i | \(-0.180277\pi\) |
−0.963397 | + | 0.268080i | \(0.913611\pi\) | |||||||
\(488\) | −680.575 | + | 524.896i | −1.39462 | + | 1.07561i | ||||
\(489\) | −805.419 | − | 358.596i | −1.64707 | − | 0.733324i | ||||
\(490\) | −15.2711 | + | 159.975i | −0.0311654 | + | 0.326479i | ||||
\(491\) | 182.159 | + | 105.170i | 0.370997 | + | 0.214195i | 0.673894 | − | 0.738828i | \(-0.264621\pi\) |
−0.302897 | + | 0.953023i | \(0.597954\pi\) | |||||||
\(492\) | −268.945 | + | 385.440i | −0.546635 | + | 0.783415i | ||||
\(493\) | 197.086 | − | 41.8919i | 0.399768 | − | 0.0849734i | ||||
\(494\) | 324.758 | + | 102.102i | 0.657404 | + | 0.206685i | ||||
\(495\) | − | 274.346i | − | 0.554235i | ||||||
\(496\) | 459.009 | − | 187.954i | 0.925422 | − | 0.378939i | ||||
\(497\) | −107.379 | −0.216054 | ||||||||
\(498\) | 249.867 | − | 794.756i | 0.501742 | − | 1.59590i | ||||
\(499\) | 9.12993 | + | 42.9530i | 0.0182965 | + | 0.0860781i | 0.986349 | − | 0.164671i | \(-0.0526563\pi\) |
−0.968052 | + | 0.250749i | \(0.919323\pi\) | |||||||
\(500\) | 295.105 | + | 205.913i | 0.590211 | + | 0.411825i | ||||
\(501\) | 129.111 | − | 223.627i | 0.257707 | − | 0.446362i | ||||
\(502\) | −213.293 | − | 20.3608i | −0.424887 | − | 0.0405593i | ||||
\(503\) | −20.5014 | + | 46.0470i | −0.0407583 | + | 0.0915447i | −0.932777 | − | 0.360453i | \(-0.882622\pi\) |
0.892019 | + | 0.451998i | \(0.149289\pi\) | |||||||
\(504\) | −150.101 | − | 194.619i | −0.297819 | − | 0.386149i | ||||
\(505\) | 56.9642 | − | 25.3621i | 0.112800 | − | 0.0502220i | ||||
\(506\) | −220.283 | − | 240.000i | −0.435341 | − | 0.474308i | ||||
\(507\) | −510.676 | + | 53.6742i | −1.00725 | + | 0.105866i | ||||
\(508\) | 155.482 | − | 367.974i | 0.306067 | − | 0.724358i | ||||
\(509\) | 79.7336 | + | 88.5531i | 0.156647 | + | 0.173975i | 0.816360 | − | 0.577543i | \(-0.195989\pi\) |
−0.659712 | + | 0.751518i | \(0.729322\pi\) | |||||||
\(510\) | 54.6410 | + | 48.2622i | 0.107139 | + | 0.0946318i | ||||
\(511\) | 352.801 | + | 114.632i | 0.690413 | + | 0.224329i | ||||
\(512\) | 199.429 | + | 471.563i | 0.389511 | + | 0.921022i | ||||
\(513\) | 22.1886 | − | 211.110i | 0.0432526 | − | 0.411521i | ||||
\(514\) | −64.8857 | − | 565.361i | −0.126237 | − | 1.09992i | ||||
\(515\) | −74.6186 | − | 67.1869i | −0.144891 | − | 0.130460i | ||||
\(516\) | −856.836 | + | 401.266i | −1.66053 | + | 0.777648i | ||||
\(517\) | −215.806 | − | 45.8709i | −0.417419 | − | 0.0887252i | ||||
\(518\) | 16.4760 | − | 81.3242i | 0.0318069 | − | 0.156996i | ||||
\(519\) | −748.103 | + | 1029.68i | −1.44143 | + | 1.98396i | ||||
\(520\) | −74.3396 | + | 87.4765i | −0.142961 | + | 0.168224i | ||||
\(521\) | −310.832 | − | 538.377i | −0.596606 | − | 1.03335i | −0.993318 | − | 0.115409i | \(-0.963182\pi\) |
0.396712 | − | 0.917943i | \(-0.370151\pi\) | |||||||
\(522\) | 968.944 | − | 442.536i | 1.85621 | − | 0.847770i | ||||
\(523\) | 27.2396 | + | 37.4921i | 0.0520834 | + | 0.0716866i | 0.834264 | − | 0.551365i | \(-0.185893\pi\) |
−0.782181 | + | 0.623051i | \(0.785893\pi\) | |||||||
\(524\) | −610.017 | + | 367.902i | −1.16415 | + | 0.702103i | ||||
\(525\) | −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 | ||||
\(530\) | 123.475 | + | 53.5676i | 0.232971 | + | 0.101071i | ||||
\(531\) | 372.942 | + | 513.311i | 0.702340 | + | 0.966688i | ||||
\(532\) | 252.115 | + | 48.5760i | 0.473900 | + | 0.0913083i | ||||
\(533\) | −96.7036 | − | 167.496i | −0.181433 | − | 0.314250i | ||||
\(534\) | −693.414 | + | 409.220i | −1.29853 | + | 0.766331i | ||||
\(535\) | −163.357 | + | 224.842i | −0.305341 | + | 0.420266i | ||||
\(536\) | −373.956 | + | 50.1711i | −0.697680 | + | 0.0936029i | ||||
\(537\) | 941.753 | + | 200.176i | 1.75373 | + | 0.372767i | ||||
\(538\) | −341.730 | + | 605.166i | −0.635186 | + | 1.12484i | ||||
\(539\) | 391.075 | + | 352.126i | 0.725557 | + | 0.653294i | ||||
\(540\) | 62.6636 | + | 34.6004i | 0.116044 | + | 0.0640748i | ||||
\(541\) | 70.6467 | − | 672.159i | 0.130585 | − | 1.24244i | −0.711342 | − | 0.702846i | \(-0.751912\pi\) |
0.841927 | − | 0.539591i | \(-0.181421\pi\) | |||||||
\(542\) | 253.836 | + | 342.450i | 0.468332 | + | 0.631827i | ||||
\(543\) | −316.771 | − | 102.925i | −0.583372 | − | 0.189549i | ||||
\(544\) | −7.61923 | + | 133.585i | −0.0140059 | + | 0.245560i | ||||
\(545\) | 178.195 | + | 197.905i | 0.326963 | + | 0.363129i | ||||
\(546\) | 179.113 | − | 39.8630i | 0.328046 | − | 0.0730092i | ||||
\(547\) | −652.301 | + | 68.5596i | −1.19251 | + | 0.125338i | −0.679913 | − | 0.733293i | \(-0.737982\pi\) |
−0.512595 | + | 0.858631i | \(0.671316\pi\) | |||||||
\(548\) | −41.4249 | − | 332.852i | −0.0755929 | − | 0.607395i | ||||
\(549\) | −1084.79 | + | 482.978i | −1.97593 | + | 0.879741i | ||||
\(550\) | 512.768 | − | 172.039i | 0.932305 | − | 0.312798i | ||||
\(551\) | −452.609 | + | 1016.58i | −0.821431 | + | 1.84496i | ||||
\(552\) | 444.750 | − | 107.936i | 0.805706 | − | 0.195536i | ||||
\(553\) | −150.660 | + | 260.950i | −0.272441 | + | 0.471881i | ||||
\(554\) | 1047.94 | − | 10.0070i | 1.89158 | − | 0.0180632i | ||||
\(555\) | 27.0536 | + | 127.277i | 0.0487452 | + | 0.229328i | ||||
\(556\) | 150.144 | + | 198.568i | 0.270044 | + | 0.357137i | ||||
\(557\) | 966.750 | 1.73564 | 0.867819 | − | 0.496881i | \(-0.165522\pi\) | ||||
0.867819 | + | 0.496881i | \(0.165522\pi\) | |||||||
\(558\) | 677.518 | − | 102.787i | 1.21419 | − | 0.184207i | ||||
\(559\) | − | 389.345i | − | 0.696503i | ||||||
\(560\) | −48.1788 | + | 71.9372i | −0.0860335 | + | 0.128459i | ||||
\(561\) | 233.516 | − | 49.6353i | 0.416249 | − | 0.0884765i | ||||
\(562\) | 774.280 | − | 7.39381i | 1.37772 | − | 0.0131562i | ||||
\(563\) | −642.394 | − | 370.886i | −1.14102 | − | 0.658768i | −0.194336 | − | 0.980935i | \(-0.562255\pi\) |
−0.946683 | + | 0.322167i | \(0.895589\pi\) | |||||||
\(564\) | 202.961 | − | 234.257i | 0.359861 | − | 0.415350i | ||||
\(565\) | 129.298 | + | 57.5672i | 0.228846 | + | 0.101889i | ||||
\(566\) | 336.509 | − | 112.902i | 0.594540 | − | 0.199474i | ||||
\(567\) | 65.9249 | + | 148.070i | 0.116270 | + | 0.261146i | ||||
\(568\) | 271.960 | + | 146.795i | 0.478803 | + | 0.258442i | ||||
\(569\) | −61.7209 | − | 587.236i | −0.108473 | − | 1.03205i | −0.904409 | − | 0.426668i | \(-0.859687\pi\) |
0.795936 | − | 0.605381i | \(-0.206979\pi\) | |||||||
\(570\) | −393.013 | + | 87.4681i | −0.689497 | + | 0.153453i | ||||
\(571\) | 508.060 | − | 457.459i | 0.889773 | − | 0.801155i | −0.0910926 | − | 0.995842i | \(-0.529036\pi\) |
0.980865 | + | 0.194687i | \(0.0623693\pi\) | |||||||
\(572\) | 85.1665 | + | 366.148i | 0.148892 | + | 0.640119i | ||||
\(573\) | 184.782 | − | 568.699i | 0.322481 | − | 0.992495i | ||||
\(574\) | −86.8618 | − | 117.185i | −0.151327 | − | 0.204156i | ||||
\(575\) | 269.477 | + | 28.3232i | 0.468656 | + | 0.0492577i | ||||
\(576\) | 114.104 | + | 698.113i | 0.198097 | + | 1.21200i | ||||
\(577\) | 328.184 | − | 364.486i | 0.568777 | − | 0.631691i | −0.388297 | − | 0.921534i | \(-0.626937\pi\) |
0.957074 | + | 0.289843i | \(0.0936033\pi\) | |||||||
\(578\) | 267.014 | − | 472.852i | 0.461961 | − | 0.818083i | ||||
\(579\) | −158.642 | + | 746.353i | −0.273994 | + | 1.28904i | ||||
\(580\) | −256.368 | − | 274.016i | −0.442013 | − | 0.472441i | ||||
\(581\) | 209.182 | + | 151.980i | 0.360039 | + | 0.261583i | ||||
\(582\) | 904.852 | − | 534.001i | 1.55473 | − | 0.917528i | ||||
\(583\) | 381.699 | − | 220.374i | 0.654715 | − | 0.378000i | ||||
\(584\) | −736.834 | − | 772.634i | −1.26170 | − | 1.32300i | ||||
\(585\) | −128.313 | + | 93.2250i | −0.219339 | + | 0.159359i | ||||
\(586\) | −149.042 | − | 64.6598i | −0.254339 | − | 0.110341i | ||||
\(587\) | −51.3250 | + | 16.6765i | −0.0874362 | + | 0.0284097i | −0.352408 | − | 0.935846i | \(-0.614637\pi\) |
0.264972 | + | 0.964256i | \(0.414637\pi\) | |||||||
\(588\) | −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 | ||||
\(592\) | −152.905 | + | 183.447i | −0.258285 | + | 0.309877i | ||||
\(593\) | −343.634 | + | 249.665i | −0.579485 | + | 0.421020i | −0.838538 | − | 0.544843i | \(-0.816589\pi\) |
0.259054 | + | 0.965863i | \(0.416589\pi\) | |||||||
\(594\) | 213.219 | − | 97.3814i | 0.358955 | − | 0.163942i | ||||
\(595\) | −19.5949 | + | 11.3131i | −0.0329326 | + | 0.0190136i | ||||
\(596\) | 96.0315 | − | 1118.84i | 0.161127 | − | 1.87724i | ||||
\(597\) | 455.998 | + | 331.302i | 0.763815 | + | 0.554944i | ||||
\(598\) | −37.3954 | + | 184.581i | −0.0625341 | + | 0.308664i | ||||
\(599\) | 137.772 | − | 648.167i | 0.230004 | − | 1.08208i | −0.699889 | − | 0.714251i | \(-0.746767\pi\) |
0.929893 | − | 0.367831i | \(-0.119899\pi\) | |||||||
\(600\) | −136.625 | + | 747.450i | −0.227709 | + | 1.24575i | ||||
\(601\) | −266.017 | + | 295.442i | −0.442624 | + | 0.491584i | −0.922633 | − | 0.385680i | \(-0.873967\pi\) |
0.480008 | + | 0.877264i | \(0.340634\pi\) | |||||||
\(602\) | −33.4814 | − | 291.729i | −0.0556169 | − | 0.484600i | ||||
\(603\) | −518.430 | − | 54.4891i | −0.859750 | − | 0.0903634i | ||||
\(604\) | −16.5723 | − | 867.648i | −0.0274376 | − | 1.43650i | ||||
\(605\) | −25.0043 | + | 76.9554i | −0.0413295 | + | 0.127199i | ||||
\(606\) | 215.003 | + | 189.903i | 0.354790 | + | 0.313372i | ||||
\(607\) | −124.255 | + | 111.880i | −0.204703 | + | 0.184315i | −0.765105 | − | 0.643905i | \(-0.777313\pi\) |
0.560402 | + | 0.828221i | \(0.310647\pi\) | |||||||
\(608\) | −572.128 | − | 467.688i | −0.941000 | − | 0.769224i | ||||
\(609\) | 62.6964 | + | 596.516i | 0.102950 | + | 0.979501i | ||||
\(610\) | 282.854 | + | 308.172i | 0.463696 | + | 0.505200i | ||||
\(611\) | 51.8784 | + | 116.521i | 0.0849073 | + | 0.190705i | ||||
\(612\) | −53.7570 | + | 176.871i | −0.0878383 | + | 0.289005i | ||||
\(613\) | −853.826 | − | 380.148i | −1.39287 | − | 0.620144i | −0.433202 | − | 0.901297i | \(-0.642616\pi\) |
−0.959663 | + | 0.281153i | \(0.909283\pi\) | |||||||
\(614\) | 228.090 | + | 21.7732i | 0.371482 | + | 0.0354613i | ||||
\(615\) | 198.098 | + | 114.372i | 0.322111 | + | 0.185971i | ||||
\(616\) | 95.3001 | + | 267.024i | 0.154708 | + | 0.433480i | ||||
\(617\) | 901.418 | − | 191.602i | 1.46097 | − | 0.310538i | 0.592214 | − | 0.805781i | \(-0.298254\pi\) |
0.868755 | + | 0.495242i | \(0.164921\pi\) | |||||||
\(618\) | 138.542 | − | 440.662i | 0.224178 | − | 0.713046i | ||||
\(619\) | − | 958.561i | − | 1.54856i | −0.632841 | − | 0.774282i | \(-0.718111\pi\) | ||
0.632841 | − | 0.774282i | \(-0.281889\pi\) | |||||||
\(620\) | −110.245 | − | 214.756i | −0.177815 | − | 0.346381i | ||||
\(621\) | 117.433 | 0.189103 | ||||||||
\(622\) | 290.565 | + | 91.3521i | 0.467146 | + | 0.146868i | ||||
\(623\) | −51.9550 | − | 244.429i | −0.0833948 | − | 0.392342i | ||||
\(624\) | −508.138 | − | 143.899i | −0.814324 | − | 0.230608i | ||||
\(625\) | −177.559 | + | 307.541i | −0.284094 | + | 0.492065i | ||||
\(626\) | 55.7331 | − | 583.842i | 0.0890304 | − | 0.932655i | ||||
\(627\) | −536.270 | + | 1204.48i | −0.855295 | + | 1.92102i | ||||
\(628\) | 68.1833 | − | 224.337i | 0.108572 | − | 0.357224i | ||||
\(629\) | −57.0144 | + | 25.3845i | −0.0906429 | + | 0.0403568i | ||||
\(630\) | −88.1259 | + | 80.8859i | −0.139882 | + | 0.128390i | ||||
\(631\) | −310.608 | + | 32.6463i | −0.492248 | + | 0.0517373i | −0.347401 | − | 0.937717i | \(-0.612936\pi\) |
−0.144847 | + | 0.989454i | \(0.546269\pi\) | |||||||
\(632\) | 738.315 | − | 454.949i | 1.16822 | − | 0.719857i | ||||
\(633\) | 1174.03 | + | 1303.89i | 1.85470 | + | 2.05986i | ||||
\(634\) | −15.0566 | + | 17.0466i | −0.0237485 | + | 0.0268873i | ||||
\(635\) | −184.906 | − | 60.0797i | −0.291191 | − | 0.0946136i | ||||
\(636\) | 11.8246 | + | 619.078i | 0.0185921 | + | 0.973394i | ||||
\(637\) | 31.8006 | − | 302.563i | 0.0499225 | − | 0.474981i | ||||
\(638\) | −1220.78 | + | 140.108i | −1.91345 | + | 0.219605i | ||||
\(639\) | 317.308 | + | 285.705i | 0.496569 | + | 0.447113i | ||||
\(640\) | 220.366 | − | 116.333i | 0.344322 | − | 0.181770i | ||||
\(641\) | 791.733 | + | 168.288i | 1.23515 | + | 0.262540i | 0.778808 | − | 0.627263i | \(-0.215825\pi\) |
0.456346 | + | 0.889803i | \(0.349158\pi\) | |||||||
\(642\) | −1253.10 | − | 253.873i | −1.95187 | − | 0.395441i | ||||
\(643\) | 41.5388 | − | 57.1732i | 0.0646015 | − | 0.0889163i | −0.775494 | − | 0.631355i | \(-0.782499\pi\) |
0.840095 | + | 0.542439i | \(0.182499\pi\) | |||||||
\(644\) | −12.1468 | + | 141.519i | −0.0188615 | + | 0.219750i | ||||
\(645\) | 230.241 | + | 398.789i | 0.356963 | + | 0.618278i | ||||
\(646\) | −80.2276 | − | 175.660i | −0.124191 | − | 0.271920i | ||||
\(647\) | −396.694 | − | 546.003i | −0.613129 | − | 0.843899i | 0.383702 | − | 0.923457i | \(-0.374649\pi\) |
−0.996830 | + | 0.0795579i | \(0.974649\pi\) | |||||||
\(648\) | 35.4531 | − | 465.142i | 0.0547115 | − | 0.717812i | ||||
\(649\) | −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 | \(0.653812\pi\) | |||||||
\(654\) | −487.598 | + | 1123.92i | −0.745562 | + | 1.71854i | ||||
\(655\) | 203.789 | + | 280.492i | 0.311129 | + | 0.428232i | ||||
\(656\) | 59.7953 | + | 415.543i | 0.0911513 | + | 0.633450i | ||||
\(657\) | −737.533 | − | 1277.45i | −1.12258 | − | 1.94436i | ||||
\(658\) | 48.8915 | + | 82.8455i | 0.0743033 | + | 0.125905i | ||||
\(659\) | −683.346 | + | 940.545i | −1.03694 | + | 1.42723i | −0.137340 | + | 0.990524i | \(0.543855\pi\) |
−0.899604 | + | 0.436707i | \(0.856145\pi\) | |||||||
\(660\) | −303.755 | − | 324.666i | −0.460235 | − | 0.491917i | ||||
\(661\) | −758.545 | − | 161.234i | −1.14757 | − | 0.243924i | −0.405404 | − | 0.914138i | \(-0.632869\pi\) |
−0.742168 | + | 0.670214i | \(0.766202\pi\) | |||||||
\(662\) | 151.836 | + | 85.7399i | 0.229359 | + | 0.129516i | ||||
\(663\) | −102.565 | − | 92.3500i | −0.154698 | − | 0.139291i | ||||
\(664\) | −322.032 | − | 670.889i | −0.484987 | − | 1.01037i | ||||
\(665\) | 13.0619 | − | 124.275i | 0.0196419 | − | 0.186880i | ||||
\(666\) | −265.068 | + | 196.477i | −0.397999 | + | 0.295011i | ||||
\(667\) | −585.477 | − | 190.233i | −0.877777 | − | 0.285207i | ||||
\(668\) | −52.2562 | − | 224.660i | −0.0782278 | − | 0.336317i | ||||
\(669\) | 1027.07 | + | 1140.68i | 1.53524 | + | 1.70505i | ||||
\(670\) | 39.8930 | + | 179.248i | 0.0595417 | + | 0.267534i | ||||
\(671\) | 1362.29 | − | 143.182i | 2.03024 | − | 0.213387i | ||||
\(672\) | −393.113 | − | 64.1241i | −0.584989 | − | 0.0954227i | ||||
\(673\) | 279.281 | − | 124.344i | 0.414979 | − | 0.184760i | −0.188618 | − | 0.982051i | \(-0.560401\pi\) |
0.603596 | + | 0.797290i | \(0.293734\pi\) | |||||||
\(674\) | −179.228 | − | 534.195i | −0.265917 | − | 0.792574i | ||||
\(675\) | −79.3011 | + | 178.113i | −0.117483 | + | 0.263871i | ||||
\(676\) | −300.347 | + | 346.660i | −0.444301 | + | 0.512810i | ||||
\(677\) | −284.189 | + | 492.230i | −0.419777 | + | 0.727076i | −0.995917 | − | 0.0902756i | \(-0.971225\pi\) |
0.576139 | + | 0.817351i | \(0.304559\pi\) | |||||||
\(678\) | 6.21745 | + | 651.092i | 0.00917029 | + | 0.960313i | ||||
\(679\) | 67.7972 | + | 318.961i | 0.0998487 | + | 0.469751i | ||||
\(680\) | 65.0941 | − | 1.86526i | 0.0957265 | − | 0.00274302i | ||||
\(681\) | −1201.57 | −1.76442 | ||||||||
\(682\) | −779.949 | − | 128.747i | −1.14362 | − | 0.188779i | ||||
\(683\) | − | 192.240i | − | 0.281463i | −0.990048 | − | 0.140732i | \(-0.955055\pi\) | ||
0.990048 | − | 0.140732i | \(-0.0449455\pi\) | |||||||
\(684\) | −615.760 | − | 814.350i | −0.900233 | − | 1.19057i | ||||
\(685\) | −159.680 | + | 33.9410i | −0.233109 | + | 0.0495490i | ||||
\(686\) | −4.79209 | − | 501.828i | −0.00698555 | − | 0.731527i | ||||
\(687\) | −476.974 | − | 275.381i | −0.694286 | − | 0.400846i | ||||
\(688\) | −314.016 | + | 784.638i | −0.456418 | + | 1.14046i | ||||
\(689\) | −232.774 | − | 103.638i | −0.337843 | − | 0.150417i | ||||
\(690\) | −70.8503 | − | 211.172i | −0.102682 | − | 0.306046i | ||||
\(691\) | −98.4155 | − | 221.045i | −0.142425 | − | 0.319891i | 0.828222 | − | 0.560400i | \(-0.189352\pi\) |
−0.970647 | + | 0.240508i | \(0.922686\pi\) | |||||||
\(692\) | 140.407 | + | 1128.18i | 0.202900 | + | 1.63032i | ||||
\(693\) | 40.9449 | + | 389.565i | 0.0590835 | + | 0.562142i | ||||
\(694\) | 121.844 | + | 547.470i | 0.175567 | + | 0.788862i | ||||
\(695\) | 90.0389 | − | 81.0714i | 0.129552 | − | 0.116650i | ||||
\(696\) | 656.688 | − | 1596.51i | 0.943517 | − | 2.29384i | ||||
\(697\) | −33.9032 | + | 104.343i | −0.0486417 | + | 0.149704i | ||||
\(698\) | −311.084 | + | 230.586i | −0.445679 | + | 0.330353i | ||||
\(699\) | 490.984 | + | 51.6045i | 0.702409 | + | 0.0738262i | ||||
\(700\) | −206.442 | − | 113.989i | −0.294918 | − | 0.162842i | ||||
\(701\) | 2.70631 | − | 3.00566i | 0.00386064 | − | 0.00428768i | −0.741211 | − | 0.671272i | \(-0.765748\pi\) |
0.745072 | + | 0.666984i | \(0.232415\pi\) | |||||||
\(702\) | −117.999 | − | 66.6327i | −0.168090 | − | 0.0949183i | ||||
\(703\) | 71.6625 | − | 337.146i | 0.101938 | − | 0.479581i | ||||
\(704\) | 123.673 | − | 806.577i | 0.175672 | − | 1.14571i | ||||
\(705\) | −122.042 | − | 88.6685i | −0.173109 | − | 0.125771i | ||||
\(706\) | −19.3195 | − | 32.7364i | −0.0273647 | − | 0.0463689i | ||||
\(707\) | −77.1025 | + | 44.5151i | −0.109056 | + | 0.0629634i | ||||
\(708\) | 1009.68 | + | 194.539i | 1.42610 | + | 0.274773i | ||||
\(709\) | −70.9453 | + | 51.5448i | −0.100064 | + | 0.0727007i | −0.636692 | − | 0.771118i | \(-0.719698\pi\) |
0.536628 | + | 0.843819i | \(0.319698\pi\) | |||||||
\(710\) | 59.8634 | − | 137.987i | 0.0843146 | − | 0.194347i | ||||
\(711\) | 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 | ||||
\(716\) | 736.446 | − | 444.152i | 1.02856 | − | 0.620324i | ||||
\(717\) | −1137.73 | + | 826.609i | −1.58679 | + | 1.15287i | ||||
\(718\) | −221.798 | − | 485.632i | −0.308911 | − | 0.676368i | ||||
\(719\) | 805.577 | − | 465.100i | 1.12041 | − | 0.646871i | 0.178907 | − | 0.983866i | \(-0.442744\pi\) |
0.941506 | + | 0.336995i | \(0.109411\pi\) | |||||||
\(720\) | 333.774 | − | 84.3864i | 0.463575 | − | 0.117203i | ||||
\(721\) | 115.984 | + | 84.2671i | 0.160865 | + | 0.116875i | ||||
\(722\) | 337.669 | + | 68.4104i | 0.467685 | + | 0.0947512i | ||||
\(723\) | −190.090 | + | 894.305i | −0.262919 | + | 1.23694i | ||||
\(724\) | −269.435 | + | 126.180i | −0.372148 | + | 0.174281i | ||||
\(725\) | 683.897 | − | 759.545i | 0.943306 | − | 1.04765i | ||||
\(726\) | −369.821 | + | 42.4439i | −0.509395 | + | 0.0584626i | ||||
\(727\) | −958.401 | − | 100.732i | −1.31830 | − | 0.138558i | −0.580875 | − | 0.813993i | \(-0.697290\pi\) |
−0.737420 | + | 0.675434i | \(0.763956\pi\) | |||||||
\(728\) | 92.5047 | − | 135.309i | 0.127067 | − | 0.185864i | ||||
\(729\) | 313.644 | − | 965.296i | 0.430238 | − | 1.32414i | ||||
\(730\) | −343.992 | + | 389.457i | −0.471222 | + | 0.533503i | ||||
\(731\) | −164.133 | + | 147.786i | −0.224532 | + | 0.202169i | ||||
\(732\) | −749.000 | + | 1772.63i | −1.02322 | + | 2.42163i | ||||
\(733\) | 68.2132 | + | 649.005i | 0.0930603 | + | 0.885409i | 0.937084 | + | 0.349104i | \(0.113514\pi\) |
−0.844024 | + | 0.536306i | \(0.819819\pi\) | |||||||
\(734\) | 876.203 | − | 804.219i | 1.19374 | − | 1.09567i | ||||
\(735\) | 146.350 | + | 328.707i | 0.199115 | + | 0.447220i | ||||
\(736\) | 224.231 | − | 341.821i | 0.304661 | − | 0.464431i | ||||
\(737\) | 549.347 | + | 244.585i | 0.745383 | + | 0.331866i | ||||
\(738\) | −55.1181 | + | 577.400i | −0.0746858 | + | 0.782385i | ||||
\(739\) | 627.641 | + | 362.368i | 0.849311 | + | 0.490350i | 0.860418 | − | 0.509589i | \(-0.170202\pi\) |
−0.0111075 | + | 0.999938i | \(0.503536\pi\) | |||||||
\(740\) | 95.3197 | + | 66.5102i | 0.128810 | + | 0.0898786i | ||||
\(741\) | 745.571 | − | 158.476i | 1.00617 | − | 0.213868i | ||||
\(742\) | −183.325 | − | 57.6365i | −0.247069 | − | 0.0776773i | ||||
\(743\) | 567.317i | 0.763549i | 0.924256 | + | 0.381774i | \(0.124687\pi\) | ||||
−0.924256 | + | 0.381774i | \(0.875313\pi\) | |||||||
\(744\) | 687.979 | − | 871.785i | 0.924703 | − | 1.17175i | ||||
\(745\) | −546.534 | −0.733602 | ||||||||
\(746\) | −243.955 | + | 775.950i | −0.327017 | + | 1.04015i | ||||
\(747\) | −213.764 | − | 1005.68i | −0.286163 | − | 1.34629i | ||||
\(748\) | 122.026 | − | 174.883i | 0.163137 | − | 0.233801i | ||||
\(749\) | 198.407 | − | 343.650i | 0.264895 | − | 0.458812i | ||||
\(750\) | 802.048 | + | 76.5629i | 1.06940 | + | 0.102084i | ||||
\(751\) | −24.8758 | + | 55.8721i | −0.0331236 | + | 0.0743969i | −0.929350 | − | 0.369201i | \(-0.879631\pi\) |
0.896226 | + | 0.443598i | \(0.146298\pi\) | |||||||
\(752\) | −10.5725 | − | 276.662i | −0.0140592 | − | 0.367902i | ||||
\(753\) | −438.262 | + | 195.127i | −0.582021 | + | 0.259132i | ||||
\(754\) | 480.360 | + | 523.357i | 0.637083 | + | 0.694107i | ||||
\(755\) | −420.043 | + | 44.1483i | −0.556349 | + | 0.0584746i | ||||
\(756\) | −94.1445 | − | 39.7794i | −0.124530 | − | 0.0526182i | ||||
\(757\) | −773.590 | − | 859.159i | −1.02192 | − | 1.13495i | −0.990786 | − | 0.135437i | \(-0.956756\pi\) |
−0.0311302 | − | 0.999515i | \(-0.509911\pi\) | |||||||
\(758\) | 173.960 | + | 153.652i | 0.229499 | + | 0.202707i | ||||
\(759\) | −693.699 | − | 225.396i | −0.913964 | − | 0.296965i | ||||
\(760\) | −202.975 | + | 296.897i | −0.267073 | + | 0.390654i | ||||
\(761\) | 123.165 | − | 1171.84i | 0.161846 | − | 1.53987i | −0.548582 | − | 0.836097i | \(-0.684832\pi\) |
0.710428 | − | 0.703769i | \(-0.248501\pi\) | |||||||
\(762\) | −101.983 | − | 888.594i | −0.133836 | − | 1.16613i | ||||
\(763\) | −282.568 | − | 254.425i | −0.370338 | − | 0.333454i | ||||
\(764\) | −226.530 | − | 483.717i | −0.296506 | − | 0.633137i | ||||
\(765\) | 88.0044 | + | 18.7059i | 0.115038 | + | 0.0244522i | ||||
\(766\) | 91.4751 | − | 451.515i | 0.119419 | − | 0.589445i | ||||
\(767\) | −248.712 | + | 342.323i | −0.324266 | + | 0.446314i | ||||
\(768\) | 907.980 | + | 699.821i | 1.18227 | + | 0.911226i | ||||
\(769\) | 454.909 | + | 787.925i | 0.591559 | + | 1.02461i | 0.994023 | + | 0.109174i | \(0.0348205\pi\) |
−0.402464 | + | 0.915436i | \(0.631846\pi\) | |||||||
\(770\) | 125.517 | − | 57.3259i | 0.163009 | − | 0.0744493i | ||||
\(771\) | −748.933 | − | 1030.82i | −0.971379 | − | 1.33699i | ||||
\(772\) | 351.997 | + | 583.645i | 0.455955 | + | 0.756017i | ||||
\(773\) | −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 | ||||
\(778\) | 407.976 | + | 176.994i | 0.524391 | + | 0.227499i | ||||
\(779\) | −356.153 | − | 490.202i | −0.457192 | − | 0.629271i | ||||
\(780\) | −48.6293 | + | 252.392i | −0.0623453 | + | 0.323579i | ||||
\(781\) | −246.274 | − | 426.559i | −0.315332 | − | 0.546171i | ||||
\(782\) | 92.0064 | − | 54.2979i | 0.117655 | − | 0.0694346i | ||||
\(783\) | 260.364 | − | 358.360i | 0.332521 | − | 0.457676i | ||||
\(784\) | −308.110 | + | 584.098i | −0.392998 | + | 0.745024i | ||||
\(785\) | −111.621 | − | 23.7259i | −0.142193 | − | 0.0302240i | ||||
\(786\) | −784.278 | + | 1388.87i | −0.997809 | + | 1.76701i | ||||
\(787\) | −1125.91 | − | 1013.77i | −1.43064 | − | 1.28815i | −0.896709 | − | 0.442621i | \(-0.854049\pi\) |
−0.533927 | − | 0.845530i | \(-0.679284\pi\) | |||||||
\(788\) | 103.709 | − | 187.824i | 0.131610 | − | 0.238355i | ||||
\(789\) | −91.0474 | + | 866.258i | −0.115396 | + | 1.09792i | ||||
\(790\) | −251.340 | − | 339.083i | −0.318152 | − | 0.429219i | ||||
\(791\) | −192.191 | − | 62.4468i | −0.242973 | − | 0.0789466i | ||||
\(792\) | 428.861 | − | 1042.63i | 0.541491 | − | 1.31645i | ||||
\(793\) | −529.884 | − | 588.495i | −0.668201 | − | 0.742113i | ||||
\(794\) | −1095.32 | + | 243.773i | −1.37950 | + | 0.307018i | ||||
\(795\) | 299.706 | − | 31.5004i | 0.376989 | − | 0.0396232i | ||||
\(796\) | 499.621 | − | 62.1800i | 0.627664 | − | 0.0781155i | ||||
\(797\) | −27.2883 | + | 12.1495i | −0.0342387 | + | 0.0152441i | −0.423785 | − | 0.905763i | \(-0.639299\pi\) |
0.389546 | + | 0.921007i | \(0.372632\pi\) | |||||||
\(798\) | 545.014 | − | 182.858i | 0.682975 | − | 0.229145i | ||||
\(799\) | 29.4288 | − | 66.0982i | 0.0368320 | − | 0.0827261i | ||||
\(800\) | 367.027 | + | 570.924i | 0.458784 | + | 0.713655i | ||||
\(801\) | −496.828 | + | 860.532i | −0.620260 | + | 1.07432i | ||||
\(802\) | 645.100 | − | 6.16023i | 0.804364 | − | 0.00768109i | ||||
\(803\) | 353.779 | + | 1664.40i | 0.440572 | + | 2.07273i | ||||
\(804\) | −673.847 | + | 509.520i | −0.838118 | + | 0.633731i | ||||
\(805\) | 69.1298 | 0.0858755 | ||||||||
\(806\) | 204.817 | + | 408.535i | 0.254115 | + | 0.506867i | ||||
\(807\) | 1556.08i | 1.92823i | ||||||||
\(808\) | 256.134 | − | 7.33946i | 0.316997 | − | 0.00908349i | ||||
\(809\) | −528.027 | + | 112.236i | −0.652691 | + | 0.138734i | −0.522344 | − | 0.852735i | \(-0.674942\pi\) |
−0.130347 | + | 0.991468i | \(0.541609\pi\) | |||||||
\(810\) | −227.029 | + | 2.16796i | −0.280282 | + | 0.00267649i | ||||
\(811\) | 412.385 | + | 238.090i | 0.508489 | + | 0.293576i | 0.732212 | − | 0.681076i | \(-0.238488\pi\) |
−0.223723 | + | 0.974653i | \(0.571821\pi\) | |||||||
\(812\) | 404.930 | + | 350.833i | 0.498683 | + | 0.432060i | ||||
\(813\) | 871.908 | + | 388.198i | 1.07246 | + | 0.477489i | ||||
\(814\) | 360.845 | − | 121.067i | 0.443299 | − | 0.148731i | ||||
\(815\) | 155.896 | + | 350.148i | 0.191283 | + | 0.429629i | ||||
\(816\) | 132.214 | + | 268.832i | 0.162027 | + | 0.329450i | ||||
\(817\) | −127.501 | − | 1213.09i | −0.156060 | − | 1.48482i | ||||
\(818\) | 1470.39 | − | 327.247i | 1.79755 | − | 0.400058i | ||||
\(819\) | 168.288 | − | 151.527i | 0.205480 | − | 0.185015i | ||||
\(820\) | 199.013 | − | 46.2907i | 0.242699 | − | 0.0564520i | ||||
\(821\) | 415.411 | − | 1278.50i | 0.505981 | − | 1.55725i | −0.293133 | − | 0.956072i | \(-0.594698\pi\) |
0.799115 | − | 0.601179i | \(-0.205302\pi\) | |||||||
\(822\) | −447.215 | − | 603.338i | −0.544057 | − | 0.733988i | ||||
\(823\) | −33.3198 | − | 3.50205i | −0.0404858 | − | 0.00425523i | 0.0842639 | − | 0.996443i | \(-0.473146\pi\) |
−0.124750 | + | 0.992188i | \(0.539813\pi\) | |||||||
\(824\) | −178.554 | − | 371.983i | −0.216692 | − | 0.451435i | ||||
\(825\) | 810.311 | − | 899.941i | 0.982195 | − | 1.09084i | ||||
\(826\) | −156.918 | + | 277.884i | −0.189973 | + | 0.336421i | ||||
\(827\) | −59.1855 | + | 278.446i | −0.0715665 | + | 0.336694i | −0.999335 | − | 0.0364623i | \(-0.988391\pi\) |
0.927769 | + | 0.373156i | \(0.121724\pi\) | |||||||
\(828\) | 412.436 | − | 385.873i | 0.498111 | − | 0.466030i | ||||
\(829\) | 318.579 | + | 231.461i | 0.384293 | + | 0.279205i | 0.763113 | − | 0.646265i | \(-0.223670\pi\) |
−0.378820 | + | 0.925470i | \(0.623670\pi\) | |||||||
\(830\) | −311.919 | + | 184.080i | −0.375806 | + | 0.221783i | ||||
\(831\) | 2032.09 | − | 1173.23i | 2.44535 | − | 1.41182i | ||||
\(832\) | −419.265 | + | 216.238i | −0.503924 | + | 0.259902i | ||||
\(833\) | −139.619 | + | 101.439i | −0.167610 | + | 0.121776i | ||||
\(834\) | 511.340 | + | 221.837i | 0.613118 | + | 0.265992i | ||||
\(835\) | −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 | 0.439504 | − | 0.898241i | \(-0.355154\pi\) |
0.883539 | + | 0.468358i | \(0.155154\pi\) | |||||||
\(840\) | −14.7329 | + | 193.294i | −0.0175391 | + | 0.230112i | ||||
\(841\) | −1198.21 | + | 870.554i | −1.42475 | + | 1.03514i | ||||
\(842\) | 524.291 | − | 239.454i | 0.622674 | − | 0.284387i | ||||
\(843\) | 1501.43 | − | 866.852i | 1.78106 | − | 1.02829i | ||||
\(844\) | 1561.52 | + | 134.027i | 1.85014 | + | 0.158800i | ||||
\(845\) | 180.600 | + | 131.214i | 0.213728 | + | 0.155283i | ||||
\(846\) | 75.9527 | − | 374.897i | 0.0897786 | − | 0.443141i | ||||
\(847\) | 24.0202 | − | 113.006i | 0.0283592 | − | 0.133420i | ||||
\(848\) | 385.517 | + | 396.596i | 0.454619 | + | 0.467683i | ||||
\(849\) | 531.775 | − | 590.596i | 0.626355 | − | 0.695638i | ||||
\(850\) | 20.2240 | + | 176.215i | 0.0237929 | + | 0.207312i | ||||
\(851\) | 189.636 | + | 19.9316i | 0.222840 | + | 0.0234214i | ||||
\(852\) | 691.838 | − | 13.2143i | 0.812017 | − | 0.0155098i | ||||
\(853\) | −350.261 | + | 1077.99i | −0.410622 | + | 1.26377i | 0.505486 | + | 0.862835i | \(0.331313\pi\) |
−0.916108 | + | 0.400931i | \(0.868687\pi\) | |||||||
\(854\) | −447.639 | − | 395.382i | −0.524167 | − | 0.462976i | ||||
\(855\) | −369.260 | + | 332.483i | −0.431883 | + | 0.388869i | ||||
\(856\) | −972.301 | + | 599.131i | −1.13587 | + | 0.699920i | ||||
\(857\) | −45.8405 | − | 436.143i | −0.0534895 | − | 0.508919i | −0.988163 | − | 0.153410i | \(-0.950974\pi\) |
0.934673 | − | 0.355508i | \(-0.115692\pi\) | |||||||
\(858\) | 569.152 | + | 620.096i | 0.663347 | + | 0.722722i | ||||
\(859\) | 338.879 | + | 761.135i | 0.394504 | + | 0.886072i | 0.996179 | + | 0.0873305i | \(0.0278336\pi\) |
−0.601675 | + | 0.798741i | \(0.705500\pi\) | |||||||
\(860\) | 393.550 | + | 119.613i | 0.457616 | + | 0.139085i | ||||
\(861\) | −298.364 | − | 132.840i | −0.346532 | − | 0.154286i | ||||
\(862\) | −923.753 | − | 88.1807i | −1.07164 | − | 0.102298i | ||||
\(863\) | −788.691 | − | 455.351i | −0.913894 | − | 0.527637i | −0.0322122 | − | 0.999481i | \(-0.510255\pi\) |
−0.881682 | + | 0.471844i | \(0.843589\pi\) | |||||||
\(864\) | 184.060 | + | 229.452i | 0.213032 | + | 0.265570i | ||||
\(865\) | 541.224 | − | 115.041i | 0.625692 | − | 0.132995i | ||||
\(866\) | 123.759 | − | 393.640i | 0.142908 | − | 0.454550i | ||||
\(867\) | − | 1215.86i | − | 1.40238i | ||||||
\(868\) | 188.597 | + | 288.494i | 0.217277 | + | 0.332367i | ||||
\(869\) | −1382.15 | −1.59051 | ||||||||
\(870\) | −801.501 | − | 251.988i | −0.921265 | − | 0.289641i | ||||
\(871\) | −72.2786 | − | 340.044i | −0.0829835 | − | 0.390407i | ||||
\(872\) | 367.846 | + | 1030.68i | 0.421842 | + | 1.18197i | ||||
\(873\) | 648.322 | − | 1122.93i | 0.742637 | − | 1.28629i | ||||
\(874\) | −56.0680 | + | 587.350i | −0.0641510 | + | 0.672026i | ||||
\(875\) | −101.707 | + | 228.437i | −0.116236 | + | 0.261071i | ||||
\(876\) | −2287.19 | − | 695.153i | −2.61095 | − | 0.793553i | ||||
\(877\) | 324.421 | − | 144.441i | 0.369921 | − | 0.164699i | −0.213352 | − | 0.976975i | \(-0.568438\pi\) |
0.583273 | + | 0.812276i | \(0.301772\pi\) | |||||||
\(878\) | −626.637 | + | 575.156i | −0.713709 | + | 0.655075i | ||||
\(879\) | −361.767 | + | 38.0232i | −0.411566 | + | 0.0432573i | ||||
\(880\) | −396.266 | − | 26.4001i | −0.450303 | − | 0.0300001i | ||||
\(881\) | −408.209 | − | 453.362i | −0.463348 | − | 0.514600i | 0.465507 | − | 0.885044i | \(-0.345872\pi\) |
−0.928855 | + | 0.370445i | \(0.879205\pi\) | |||||||
\(882\) | −603.998 | + | 683.828i | −0.684805 | + | 0.775315i | ||||
\(883\) | 993.086 | + | 322.673i | 1.12467 | + | 0.365428i | 0.811549 | − | 0.584284i | \(-0.198625\pi\) |
0.313124 | + | 0.949712i | \(0.398625\pi\) | |||||||
\(884\) | −123.259 | + | 2.35429i | −0.139434 | + | 0.00266322i | ||||
\(885\) | 52.3107 | − | 497.704i | 0.0591082 | − | 0.562377i | ||||
\(886\) | 705.011 | − | 80.9132i | 0.795724 | − | 0.0913242i | ||||
\(887\) | 501.954 | + | 451.962i | 0.565901 | + | 0.509540i | 0.901682 | − | 0.432401i | \(-0.142333\pi\) |
−0.335780 | + | 0.941940i | \(0.609000\pi\) | |||||||
\(888\) | −96.1459 | + | 525.996i | −0.108272 | + | 0.592337i | ||||
\(889\) | 271.528 | + | 57.7151i | 0.305431 | + | 0.0649214i | ||||
\(890\) | 343.066 | + | 69.5039i | 0.385468 | + | 0.0780942i | ||||
\(891\) | −437.003 | + | 601.483i | −0.490463 | + | 0.675065i | ||||
\(892\) | 1366.06 | + | 117.251i | 1.53146 | + | 0.131448i | ||||
\(893\) | 199.797 | + | 346.058i | 0.223736 | + | 0.387523i | ||||
\(894\) | −1044.54 | − | 2287.06i | −1.16839 | − | 2.55823i | ||||
\(895\) | −246.026 | − | 338.626i | −0.274889 | − | 0.378353i | ||||
\(896\) | −295.552 | + | 198.078i | −0.329857 | + | 0.221069i | ||||
\(897\) | 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 | ||||
\(902\) | 266.297 | − | 613.820i | 0.295229 | − | 0.680510i | ||||
\(903\) | −386.453 | − | 531.907i | −0.427966 | − | 0.589045i | ||||
\(904\) | 401.396 | + | 420.899i | 0.444023 | + | 0.465596i | ||||
\(905\) | 72.4001 | + | 125.401i | 0.0800001 | + | 0.138564i | ||||
\(906\) | −987.540 | − | 1673.36i | −1.09000 | − | 1.84698i | ||||
\(907\) | 106.278 | − | 146.279i | 0.117175 | − | 0.161278i | −0.746400 | − | 0.665497i | \(-0.768220\pi\) |
0.863576 | + | 0.504219i | \(0.168220\pi\) | |||||||
\(908\) | −783.757 | + | 733.279i | −0.863169 | + | 0.807576i | ||||
\(909\) | 346.282 | + | 73.6045i | 0.380948 | + | 0.0809731i | ||||
\(910\) | −69.4631 | − | 39.2250i | −0.0763331 | − | 0.0431044i | ||||
\(911\) | −238.685 | − | 214.913i | −0.262004 | − | 0.235909i | 0.527650 | − | 0.849462i | \(-0.323073\pi\) |
−0.789654 | + | 0.613553i | \(0.789740\pi\) | |||||||
\(912\) | −1630.34 | − | 281.947i | −1.78766 | − | 0.309153i | ||||
\(913\) | −123.974 | + | 1179.54i | −0.135788 | + | 1.29193i | ||||
\(914\) | −512.607 | + | 379.962i | −0.560840 | + | 0.415714i | ||||
\(915\) | 890.745 | + | 289.421i | 0.973492 | + | 0.316307i | ||||
\(916\) | −479.177 | + | 111.457i | −0.523119 | + | 0.121678i | ||||
\(917\) | −331.238 | − | 367.877i | −0.361219 | − | 0.401174i | ||||
\(918\) | 16.6998 | + | 75.0359i | 0.0181915 | + | 0.0817384i | ||||
\(919\) | 222.325 | − | 23.3673i | 0.241920 | − | 0.0254268i | 0.0172077 | − | 0.999852i | \(-0.494522\pi\) |
0.224713 | + | 0.974425i | \(0.427856\pi\) | |||||||
\(920\) | −175.086 | − | 94.5053i | −0.190311 | − | 0.102723i | ||||
\(921\) | 468.665 | − | 208.663i | 0.508865 | − | 0.226561i | ||||
\(922\) | −316.527 | − | 943.420i | −0.343305 | − | 1.02323i | ||||
\(923\) | −115.818 | + | 260.132i | −0.125480 | + | 0.281833i | ||||
\(924\) | 479.779 | + | 415.682i | 0.519241 | + | 0.449873i | ||||
\(925\) | −158.290 | + | 274.166i | −0.171124 | + | 0.296396i | ||||
\(926\) | −6.91210 | − | 723.835i | −0.00746447 | − | 0.781680i | ||||
\(927\) | −118.524 | − | 557.612i | −0.127858 | − | 0.601523i | ||||
\(928\) | −545.959 | − | 1442.13i | −0.588317 | − | 1.55402i | ||||
\(929\) | 474.252 | 0.510497 | 0.255248 | − | 0.966875i | \(-0.417843\pi\) | ||||
0.255248 | + | 0.966875i | \(0.417843\pi\) | |||||||
\(930\) | −451.373 | − | 297.325i | −0.485348 | − | 0.319704i | ||||
\(931\) | − | 953.116i | − | 1.02376i | ||||||
\(932\) | 351.751 | − | 265.972i | 0.377415 | − | 0.285377i | ||||
\(933\) | 667.072 | − | 141.790i | 0.714975 | − | 0.151973i | ||||
\(934\) | 9.15664 | + | 958.884i | 0.00980369 | + | 1.02664i | ||||
\(935\) | −89.8819 | − | 51.8933i | −0.0961304 | − | 0.0555009i | ||||
\(936\) | −633.373 | + | 153.713i | −0.676681 | + | 0.164223i | ||||
\(937\) | −467.413 | − | 208.106i | −0.498840 | − | 0.222098i | 0.141864 | − | 0.989886i | \(-0.454690\pi\) |
−0.640703 | + | 0.767788i | \(0.721357\pi\) | |||||||
\(938\) | −83.3988 | − | 248.573i | −0.0889113 | − | 0.265003i | ||||
\(939\) | −534.116 | − | 1199.64i | −0.568813 | − | 1.27758i | ||||
\(940\) | −133.717 | + | 16.6416i | −0.142252 | + | 0.0177039i | ||||
\(941\) | 55.5276 | + | 528.309i | 0.0590091 | + | 0.561434i | 0.983586 | + | 0.180439i | \(0.0577518\pi\) |
−0.924577 | + | 0.380995i | \(0.875581\pi\) | |||||||
\(942\) | −114.048 | − | 512.443i | −0.121070 | − | 0.543994i | ||||
\(943\) | 249.107 | − | 224.297i | 0.264164 | − | 0.237854i | ||||
\(944\) | 777.315 | − | 489.283i | 0.823427 | − | 0.518308i | ||||
\(945\) | −15.3711 | + | 47.3075i | −0.0162657 | + | 0.0500608i | ||||
\(946\) | 1082.09 | − | 802.085i | 1.14386 | − | 0.847870i | ||||
\(947\) | 1528.39 | + | 160.640i | 1.61393 | + | 0.169631i | 0.868058 | − | 0.496462i | \(-0.165368\pi\) |
0.745869 | + | 0.666093i | \(0.232035\pi\) | |||||||
\(948\) | 938.581 | − | 1699.83i | 0.990064 | − | 1.79307i | ||||
\(949\) | 658.231 | − | 731.039i | 0.693605 | − | 0.770326i | ||||
\(950\) | −852.985 | − | 481.670i | −0.897879 | − | 0.507021i | ||||
\(951\) | −10.5877 | + | 49.8111i | −0.0111332 | + | 0.0523776i | ||||
\(952\) | −92.1534 | + | 12.3636i | −0.0967998 | + | 0.0129870i | ||||
\(953\) | 297.460 | + | 216.118i | 0.312130 | + | 0.226776i | 0.732810 | − | 0.680433i | \(-0.238208\pi\) |
−0.420680 | + | 0.907209i | \(0.638208\pi\) | |||||||
\(954\) | 388.377 | + | 658.094i | 0.407103 | + | 0.689826i | ||||
\(955\) | −225.132 | + | 129.980i | −0.235740 | + | 0.136105i | ||||
\(956\) | −237.663 | + | 1233.50i | −0.248602 | + | 1.29027i | ||||
\(957\) | −2225.84 | + | 1617.17i | −2.32586 | + | 1.68983i | ||||
\(958\) | 249.069 | − | 574.110i | 0.259989 | − | 0.599280i | ||||
\(959\) | 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 | ||||
\(964\) | 421.774 | + | 699.342i | 0.437525 | + | 0.725459i | ||||
\(965\) | 268.366 | − | 194.979i | 0.278099 | − | 0.202051i | ||||
\(966\) | 132.122 | + | 289.285i | 0.136772 | + | 0.299466i | ||||
\(967\) | −719.225 | + | 415.245i | −0.743769 | + | 0.429415i | −0.823438 | − | 0.567406i | \(-0.807947\pi\) |
0.0796689 | + | 0.996821i | \(0.474614\pi\) | |||||||
\(968\) | −215.324 | + | 253.375i | −0.222442 | + | 0.261751i | ||||
\(969\) | −349.807 | − | 254.150i | −0.360998 | − | 0.262280i | ||||
\(970\) | −447.675 | − | 90.6971i | −0.461520 | − | 0.0935022i | ||||
\(971\) | 144.081 | − | 677.847i | 0.148384 | − | 0.698092i | −0.839558 | − | 0.543270i | \(-0.817186\pi\) |
0.987942 | − | 0.154822i | \(-0.0494805\pi\) | |||||||
\(972\) | −583.320 | − | 1245.58i | −0.600124 | − | 1.28146i | ||||
\(973\) | −115.753 | + | 128.557i | −0.118965 | + | 0.132124i | ||||
\(974\) | −284.382 | + | 32.6382i | −0.291974 | + | 0.0335094i | ||||
\(975\) | −696.257 | − | 73.1795i | −0.714109 | − | 0.0750559i | ||||
\(976\) | 593.226 | + | 1613.34i | 0.607813 | + | 1.65301i | ||||
\(977\) | 65.5268 | − | 201.671i | 0.0670694 | − | 0.206418i | −0.911905 | − | 0.410401i | \(-0.865389\pi\) |
0.978974 | + | 0.203983i | \(0.0653887\pi\) | |||||||
\(978\) | −1167.30 | + | 1321.58i | −1.19356 | + | 1.35131i | ||||
\(979\) | 851.827 | − | 766.988i | 0.870099 | − | 0.783440i | ||||
\(980\) | 296.060 | + | 125.096i | 0.302102 | + | 0.127649i | ||||
\(981\) | 158.042 | + | 1503.67i | 0.161103 | + | 1.53279i | ||||
\(982\) | 309.923 | − | 284.462i | 0.315604 | − | 0.289676i | ||||
\(983\) | 770.812 | + | 1731.27i | 0.784143 | + | 1.76121i | 0.635170 | + | 0.772372i | \(0.280930\pi\) |
0.148973 | + | 0.988841i | \(0.452403\pi\) | |||||||
\(984\) | 574.068 | + | 744.330i | 0.583402 | + | 0.756433i | ||||
\(985\) | −95.3944 | − | 42.4723i | −0.0968471 | − | 0.0431191i | ||||
\(986\) | 38.2938 | − | 401.154i | 0.0388375 | − | 0.406850i | ||||
\(987\) | 186.529 | + | 107.693i | 0.188986 | + | 0.109111i | ||||
\(988\) | 389.607 | − | 558.369i | 0.394339 | − | 0.565151i | ||||
\(989\) | 660.053 | − | 140.299i | 0.667394 | − | 0.141859i | ||||
\(990\) | −523.433 | − | 164.565i | −0.528721 | − | 0.166227i | ||||
\(991\) | 492.719i | 0.497194i | 0.968607 | + | 0.248597i | \(0.0799694\pi\) | ||||
−0.968607 | + | 0.248597i | \(0.920031\pi\) | |||||||
\(992\) | −83.2692 | − | 988.499i | −0.0839407 | − | 0.996471i | ||||
\(993\) | 390.421 | 0.393173 | ||||||||
\(994\) | −64.4105 | + | 204.871i | −0.0647993 | + | 0.206108i | ||||
\(995\) | −50.9464 | − | 239.684i | −0.0512024 | − | 0.240889i | ||||
\(996\) | −1366.46 | − | 953.458i | −1.37194 | − | 0.957287i | ||||
\(997\) | 193.403 | − | 334.984i | 0.193985 | − | 0.335992i | −0.752582 | − | 0.658498i | \(-0.771192\pi\) |
0.946567 | + | 0.322506i | \(0.104525\pi\) | |||||||
\(998\) | 87.4277 | + | 8.34577i | 0.0876029 | + | 0.00836250i | ||||
\(999\) | −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.7.18 | yes | 240 | |
4.3 | odd | 2 | inner | 124.3.n.a.7.7 | ✓ | 240 | |
31.9 | even | 15 | inner | 124.3.n.a.71.7 | yes | 240 | |
124.71 | odd | 30 | inner | 124.3.n.a.71.18 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.3.n.a.7.7 | ✓ | 240 | 4.3 | odd | 2 | inner | |
124.3.n.a.7.18 | yes | 240 | 1.1 | even | 1 | trivial | |
124.3.n.a.71.7 | yes | 240 | 31.9 | even | 15 | inner | |
124.3.n.a.71.18 | yes | 240 | 124.71 | odd | 30 | inner |