Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 169.2 | ||
Character | \(\chi\) | \(=\) | 177.169 |
Dual form | 177.2.e.b.22.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{16}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0772031 | + | 0.470918i | −0.0545908 | + | 0.332989i | 0.945384 | + | 0.325957i | \(0.105687\pi\) |
−0.999975 | + | 0.00703195i | \(0.997762\pi\) | |||||||
\(3\) | −0.267528 | + | 0.963550i | −0.154458 | + | 0.556306i | ||||
\(4\) | 1.67950 | + | 0.565890i | 0.839751 | + | 0.282945i | ||||
\(5\) | −0.369128 | − | 0.544423i | −0.165079 | − | 0.243473i | 0.736148 | − | 0.676821i | \(-0.236643\pi\) |
−0.901227 | + | 0.433347i | \(0.857332\pi\) | |||||||
\(6\) | −0.433099 | − | 0.200373i | −0.176812 | − | 0.0818019i | ||||
\(7\) | 3.18087 | − | 0.700162i | 1.20225 | − | 0.264636i | 0.431704 | − | 0.902015i | \(-0.357912\pi\) |
0.770550 | + | 0.637379i | \(0.219981\pi\) | |||||||
\(8\) | −0.843204 | + | 1.59045i | −0.298118 | + | 0.562310i | ||||
\(9\) | −0.856857 | − | 0.515554i | −0.285619 | − | 0.171851i | ||||
\(10\) | 0.284876 | − | 0.131798i | 0.0900858 | − | 0.0416781i | ||||
\(11\) | −1.46239 | + | 1.11168i | −0.440927 | + | 0.335184i | −0.801969 | − | 0.597365i | \(-0.796214\pi\) |
0.361042 | + | 0.932550i | \(0.382421\pi\) | |||||||
\(12\) | −0.994578 | + | 1.46689i | −0.287110 | + | 0.423456i | ||||
\(13\) | −2.36213 | + | 1.42125i | −0.655137 | + | 0.394183i | −0.803962 | − | 0.594681i | \(-0.797278\pi\) |
0.148825 | + | 0.988864i | \(0.452451\pi\) | |||||||
\(14\) | 0.0841460 | + | 1.55198i | 0.0224890 | + | 0.414785i | ||||
\(15\) | 0.623331 | − | 0.210025i | 0.160943 | − | 0.0542281i | ||||
\(16\) | 2.13792 | + | 1.62520i | 0.534480 | + | 0.406301i | ||||
\(17\) | 4.71674 | + | 1.03823i | 1.14398 | + | 0.251809i | 0.746232 | − | 0.665686i | \(-0.231861\pi\) |
0.397747 | + | 0.917495i | \(0.369792\pi\) | |||||||
\(18\) | 0.308936 | − | 0.363707i | 0.0728168 | − | 0.0857266i | ||||
\(19\) | −3.87004 | + | 0.420892i | −0.887847 | + | 0.0965592i | −0.540664 | − | 0.841238i | \(-0.681827\pi\) |
−0.347183 | + | 0.937798i | \(0.612862\pi\) | |||||||
\(20\) | −0.311868 | − | 1.12325i | −0.0697357 | − | 0.251165i | ||||
\(21\) | −0.176331 | + | 3.25224i | −0.0384786 | + | 0.709696i | ||||
\(22\) | −0.410609 | − | 0.774492i | −0.0875422 | − | 0.165122i | ||||
\(23\) | −5.38869 | − | 6.34405i | −1.12362 | − | 1.32283i | −0.940522 | − | 0.339732i | \(-0.889664\pi\) |
−0.183097 | − | 0.983095i | \(-0.558612\pi\) | |||||||
\(24\) | −1.30690 | − | 1.23796i | −0.266770 | − | 0.252698i | ||||
\(25\) | 1.69055 | − | 4.24296i | 0.338110 | − | 0.848592i | ||||
\(26\) | −0.486927 | − | 1.22209i | −0.0954942 | − | 0.239672i | ||||
\(27\) | 0.725995 | − | 0.687699i | 0.139718 | − | 0.132348i | ||||
\(28\) | 5.73849 | + | 0.624098i | 1.08447 | + | 0.117943i | ||||
\(29\) | 0.0667431 | + | 0.407115i | 0.0123939 | + | 0.0755994i | 0.992299 | − | 0.123864i | \(-0.0395285\pi\) |
−0.979905 | + | 0.199463i | \(0.936080\pi\) | |||||||
\(30\) | 0.0507813 | + | 0.309752i | 0.00927136 | + | 0.0565528i | ||||
\(31\) | 4.84278 | + | 0.526684i | 0.869788 | + | 0.0945952i | 0.532119 | − | 0.846670i | \(-0.321396\pi\) |
0.337669 | + | 0.941265i | \(0.390361\pi\) | |||||||
\(32\) | −3.54419 | + | 3.35723i | −0.626530 | + | 0.593481i | ||||
\(33\) | −0.679929 | − | 1.70649i | −0.118360 | − | 0.297062i | ||||
\(34\) | −0.853071 | + | 2.14105i | −0.146300 | + | 0.367186i | ||||
\(35\) | −1.55533 | − | 1.47329i | −0.262899 | − | 0.249031i | ||||
\(36\) | −1.14735 | − | 1.35076i | −0.191225 | − | 0.225127i | ||||
\(37\) | −2.50140 | − | 4.71815i | −0.411228 | − | 0.775659i | 0.588226 | − | 0.808697i | \(-0.299827\pi\) |
−0.999454 | + | 0.0330379i | \(0.989482\pi\) | |||||||
\(38\) | 0.100573 | − | 1.85496i | 0.0163151 | − | 0.300915i | ||||
\(39\) | −0.737505 | − | 2.65625i | −0.118095 | − | 0.425341i | ||||
\(40\) | 1.17713 | − | 0.128020i | 0.186120 | − | 0.0202418i | ||||
\(41\) | 4.27135 | − | 5.02862i | 0.667073 | − | 0.785338i | −0.319688 | − | 0.947523i | \(-0.603578\pi\) |
0.986760 | + | 0.162184i | \(0.0518539\pi\) | |||||||
\(42\) | −1.51792 | − | 0.334120i | −0.234221 | − | 0.0515559i | ||||
\(43\) | −6.45524 | − | 4.90714i | −0.984414 | − | 0.748332i | −0.0165650 | − | 0.999863i | \(-0.505273\pi\) |
−0.967849 | + | 0.251530i | \(0.919066\pi\) | |||||||
\(44\) | −3.08518 | + | 1.03952i | −0.465108 | + | 0.156713i | ||||
\(45\) | 0.0356105 | + | 0.656798i | 0.00530851 | + | 0.0979096i | ||||
\(46\) | 3.40355 | − | 2.04785i | 0.501827 | − | 0.301939i | ||||
\(47\) | −0.180009 | + | 0.265493i | −0.0262570 | + | 0.0387261i | −0.840591 | − | 0.541670i | \(-0.817792\pi\) |
0.814334 | + | 0.580397i | \(0.197102\pi\) | |||||||
\(48\) | −2.13792 | + | 1.62520i | −0.308582 | + | 0.234578i | ||||
\(49\) | 3.27466 | − | 1.51502i | 0.467808 | − | 0.216431i | ||||
\(50\) | 1.86757 | + | 1.12368i | 0.264114 | + | 0.158912i | ||||
\(51\) | −2.26225 | + | 4.26706i | −0.316779 | + | 0.597508i | ||||
\(52\) | −4.77147 | + | 1.05028i | −0.661684 | + | 0.145648i | ||||
\(53\) | −8.04672 | − | 3.72281i | −1.10530 | − | 0.511367i | −0.219585 | − | 0.975593i | \(-0.570470\pi\) |
−0.885717 | + | 0.464226i | \(0.846333\pi\) | |||||||
\(54\) | 0.267801 | + | 0.394977i | 0.0364431 | + | 0.0537496i | ||||
\(55\) | 1.14503 | + | 0.385807i | 0.154396 | + | 0.0520221i | ||||
\(56\) | −1.56855 | + | 5.64939i | −0.209606 | + | 0.754932i | ||||
\(57\) | 0.629794 | − | 3.84157i | 0.0834182 | − | 0.508829i | ||||
\(58\) | −0.196871 | −0.0258504 | ||||||||
\(59\) | 7.50370 | + | 1.64151i | 0.976898 | + | 0.213706i | ||||
\(60\) | 1.16574 | 0.150496 | ||||||||
\(61\) | 0.932486 | − | 5.68791i | 0.119393 | − | 0.728262i | −0.857492 | − | 0.514497i | \(-0.827979\pi\) |
0.976885 | − | 0.213766i | \(-0.0685729\pi\) | |||||||
\(62\) | −0.621902 | + | 2.23989i | −0.0789817 | + | 0.284466i | ||||
\(63\) | −3.08652 | − | 1.03997i | −0.388865 | − | 0.131024i | ||||
\(64\) | 1.70679 | + | 2.51733i | 0.213349 | + | 0.314666i | ||||
\(65\) | 1.64569 | + | 0.761376i | 0.204122 | + | 0.0944370i | ||||
\(66\) | 0.856111 | − | 0.188444i | 0.105380 | − | 0.0231959i | ||||
\(67\) | −3.98971 | + | 7.52539i | −0.487420 | + | 0.919372i | 0.510798 | + | 0.859701i | \(0.329350\pi\) |
−0.998218 | + | 0.0596714i | \(0.980995\pi\) | |||||||
\(68\) | 7.33426 | + | 4.41288i | 0.889410 | + | 0.535140i | ||||
\(69\) | 7.55444 | − | 3.49506i | 0.909448 | − | 0.420755i | ||||
\(70\) | 0.813874 | − | 0.618691i | 0.0972765 | − | 0.0739477i | ||||
\(71\) | −3.38098 | + | 4.98657i | −0.401248 | + | 0.591797i | −0.973614 | − | 0.228202i | \(-0.926715\pi\) |
0.572366 | + | 0.819998i | \(0.306026\pi\) | |||||||
\(72\) | 1.54247 | − | 0.928073i | 0.181782 | − | 0.109374i | ||||
\(73\) | −0.228524 | − | 4.21488i | −0.0267467 | − | 0.493314i | −0.980963 | − | 0.194196i | \(-0.937790\pi\) |
0.954216 | − | 0.299118i | \(-0.0966925\pi\) | |||||||
\(74\) | 2.41498 | − | 0.813701i | 0.280735 | − | 0.0945908i | ||||
\(75\) | 3.63603 | + | 2.76404i | 0.419853 | + | 0.319164i | ||||
\(76\) | −6.73791 | − | 1.48313i | −0.772892 | − | 0.170126i | ||||
\(77\) | −3.87331 | + | 4.56002i | −0.441405 | + | 0.519662i | ||||
\(78\) | 1.30782 | − | 0.142234i | 0.148081 | − | 0.0161048i | ||||
\(79\) | 4.10503 | + | 14.7850i | 0.461852 | + | 1.66344i | 0.717415 | + | 0.696647i | \(0.245325\pi\) |
−0.255563 | + | 0.966792i | \(0.582261\pi\) | |||||||
\(80\) | 0.0956326 | − | 1.76384i | 0.0106920 | − | 0.197203i | ||||
\(81\) | 0.468408 | + | 0.883512i | 0.0520454 | + | 0.0981680i | ||||
\(82\) | 2.03831 | + | 2.39968i | 0.225093 | + | 0.265000i | ||||
\(83\) | 11.6148 | + | 11.0021i | 1.27489 | + | 1.20764i | 0.966583 | + | 0.256353i | \(0.0825211\pi\) |
0.308307 | + | 0.951287i | \(0.400238\pi\) | |||||||
\(84\) | −2.13656 | + | 5.36236i | −0.233118 | + | 0.585081i | ||||
\(85\) | −1.17584 | − | 2.95114i | −0.127538 | − | 0.320097i | ||||
\(86\) | 2.80923 | − | 2.66104i | 0.302927 | − | 0.286947i | ||||
\(87\) | −0.410131 | − | 0.0446045i | −0.0439707 | − | 0.00478210i | ||||
\(88\) | −0.534980 | − | 3.26324i | −0.0570291 | − | 0.347862i | ||||
\(89\) | −1.37824 | − | 8.40688i | −0.146093 | − | 0.891128i | −0.953557 | − | 0.301211i | \(-0.902609\pi\) |
0.807464 | − | 0.589916i | \(-0.200839\pi\) | |||||||
\(90\) | −0.312047 | − | 0.0339372i | −0.0328927 | − | 0.00357729i | ||||
\(91\) | −6.51852 | + | 6.17467i | −0.683326 | + | 0.647281i | ||||
\(92\) | −5.46028 | − | 13.7043i | −0.569273 | − | 1.42877i | ||||
\(93\) | −1.80307 | + | 4.52535i | −0.186969 | + | 0.469257i | ||||
\(94\) | −0.111128 | − | 0.105266i | −0.0114620 | − | 0.0108574i | ||||
\(95\) | 1.65768 | + | 1.95157i | 0.170074 | + | 0.200227i | ||||
\(96\) | −2.28669 | − | 4.31316i | −0.233385 | − | 0.440210i | ||||
\(97\) | −0.182683 | + | 3.36938i | −0.0185486 | + | 0.342109i | 0.974499 | + | 0.224393i | \(0.0720399\pi\) |
−0.993047 | + | 0.117716i | \(0.962443\pi\) | |||||||
\(98\) | 0.460636 | + | 1.65906i | 0.0465312 | + | 0.167590i | ||||
\(99\) | 1.82619 | − | 0.198610i | 0.183539 | − | 0.0199611i | ||||
\(100\) | 5.24033 | − | 6.16940i | 0.524033 | − | 0.616940i | ||||
\(101\) | 4.90862 | + | 1.08047i | 0.488426 | + | 0.107511i | 0.452354 | − | 0.891839i | \(-0.350584\pi\) |
0.0360720 | + | 0.999349i | \(0.488515\pi\) | |||||||
\(102\) | −1.83478 | − | 1.39477i | −0.181671 | − | 0.138102i | ||||
\(103\) | −16.1761 | + | 5.45037i | −1.59388 | + | 0.537041i | −0.969713 | − | 0.244249i | \(-0.921459\pi\) |
−0.624168 | + | 0.781290i | \(0.714562\pi\) | |||||||
\(104\) | −0.268666 | − | 4.95526i | −0.0263449 | − | 0.485903i | ||||
\(105\) | 1.83568 | − | 1.10449i | 0.179144 | − | 0.107787i | ||||
\(106\) | 2.37437 | − | 3.50193i | 0.230619 | − | 0.340138i | ||||
\(107\) | −4.42856 | + | 3.36650i | −0.428125 | + | 0.325452i | −0.796948 | − | 0.604047i | \(-0.793554\pi\) |
0.368823 | + | 0.929499i | \(0.379761\pi\) | |||||||
\(108\) | 1.60847 | − | 0.744159i | 0.154775 | − | 0.0716068i | ||||
\(109\) | 0.0451998 | + | 0.0271958i | 0.00432936 | + | 0.00260489i | 0.517717 | − | 0.855552i | \(-0.326782\pi\) |
−0.513388 | + | 0.858157i | \(0.671610\pi\) | |||||||
\(110\) | −0.270083 | + | 0.509431i | −0.0257514 | + | 0.0485724i | ||||
\(111\) | 5.21537 | − | 1.14799i | 0.495021 | − | 0.108962i | ||||
\(112\) | 7.93834 | + | 3.67267i | 0.750102 | + | 0.347034i | ||||
\(113\) | 0.192178 | + | 0.283441i | 0.0180785 | + | 0.0266639i | 0.836621 | − | 0.547782i | \(-0.184528\pi\) |
−0.818542 | + | 0.574446i | \(0.805217\pi\) | |||||||
\(114\) | 1.76044 | + | 0.593163i | 0.164881 | + | 0.0555548i | ||||
\(115\) | −1.46473 | + | 5.27549i | −0.136587 | + | 0.491942i | ||||
\(116\) | −0.118287 | + | 0.721520i | −0.0109827 | + | 0.0669915i | ||||
\(117\) | 2.75674 | 0.254860 | ||||||||
\(118\) | −1.35232 | + | 3.40690i | −0.124492 | + | 0.313630i | ||||
\(119\) | 15.7303 | 1.44199 | ||||||||
\(120\) | −0.191561 | + | 1.16847i | −0.0174871 | + | 0.106666i | ||||
\(121\) | −2.04006 | + | 7.34763i | −0.185460 | + | 0.667966i | ||||
\(122\) | 2.60655 | + | 0.878249i | 0.235986 | + | 0.0795129i | ||||
\(123\) | 3.70262 | + | 5.46096i | 0.333854 | + | 0.492398i | ||||
\(124\) | 7.83541 | + | 3.62505i | 0.703641 | + | 0.325539i | ||||
\(125\) | −6.14591 | + | 1.35282i | −0.549707 | + | 0.121000i | ||||
\(126\) | 0.728029 | − | 1.37321i | 0.0648580 | − | 0.122335i | ||||
\(127\) | −13.3230 | − | 8.01620i | −1.18223 | − | 0.711323i | −0.217883 | − | 0.975975i | \(-0.569915\pi\) |
−0.964344 | + | 0.264652i | \(0.914743\pi\) | |||||||
\(128\) | −10.1785 | + | 4.70907i | −0.899660 | + | 0.416227i | ||||
\(129\) | 6.45524 | − | 4.90714i | 0.568352 | − | 0.432050i | ||||
\(130\) | −0.485598 | + | 0.716203i | −0.0425897 | + | 0.0628152i | ||||
\(131\) | 1.08751 | − | 0.654331i | 0.0950159 | − | 0.0571692i | −0.467253 | − | 0.884124i | \(-0.654756\pi\) |
0.562269 | + | 0.826955i | \(0.309929\pi\) | |||||||
\(132\) | −0.176255 | − | 3.25082i | −0.0153410 | − | 0.282948i | ||||
\(133\) | −12.0154 | + | 4.04845i | −1.04187 | + | 0.351045i | ||||
\(134\) | −3.23582 | − | 2.45981i | −0.279533 | − | 0.212495i | ||||
\(135\) | −0.642384 | − | 0.141399i | −0.0552876 | − | 0.0121697i | ||||
\(136\) | −5.62844 | + | 6.62631i | −0.482635 | + | 0.568202i | ||||
\(137\) | 17.2344 | − | 1.87435i | 1.47243 | − | 0.160137i | 0.663560 | − | 0.748123i | \(-0.269045\pi\) |
0.808871 | + | 0.587986i | \(0.200079\pi\) | |||||||
\(138\) | 1.06266 | + | 3.82735i | 0.0904596 | + | 0.325806i | ||||
\(139\) | −0.00450326 | + | 0.0830577i | −0.000381961 | + | 0.00704486i | −0.998718 | − | 0.0506161i | \(-0.983881\pi\) |
0.998336 | + | 0.0576610i | \(0.0183643\pi\) | |||||||
\(140\) | −1.77846 | − | 3.35454i | −0.150307 | − | 0.283510i | ||||
\(141\) | −0.207658 | − | 0.244474i | −0.0174880 | − | 0.0205884i | ||||
\(142\) | −2.08724 | − | 1.97714i | −0.175158 | − | 0.165918i | ||||
\(143\) | 1.87438 | − | 4.70435i | 0.156744 | − | 0.393398i | ||||
\(144\) | −0.994011 | − | 2.49478i | −0.0828342 | − | 0.207898i | ||||
\(145\) | 0.197006 | − | 0.186614i | 0.0163605 | − | 0.0154974i | ||||
\(146\) | 2.00251 | + | 0.217786i | 0.165729 | + | 0.0180241i | ||||
\(147\) | 0.583732 | + | 3.56061i | 0.0481454 | + | 0.293674i | ||||
\(148\) | −1.53116 | − | 9.33966i | −0.125861 | − | 0.767716i | ||||
\(149\) | 7.86440 | + | 0.855305i | 0.644276 | + | 0.0700693i | 0.424424 | − | 0.905464i | \(-0.360477\pi\) |
0.219853 | + | 0.975533i | \(0.429442\pi\) | |||||||
\(150\) | −1.58235 | + | 1.49888i | −0.129198 | + | 0.122383i | ||||
\(151\) | −3.20639 | − | 8.04744i | −0.260933 | − | 0.654892i | 0.738888 | − | 0.673828i | \(-0.235351\pi\) |
−0.999821 | + | 0.0189367i | \(0.993972\pi\) | |||||||
\(152\) | 2.59382 | − | 6.51000i | 0.210387 | − | 0.528031i | ||||
\(153\) | −3.50631 | − | 3.32135i | −0.283468 | − | 0.268516i | ||||
\(154\) | −1.84836 | − | 2.17606i | −0.148945 | − | 0.175352i | ||||
\(155\) | −1.50086 | − | 2.83093i | −0.120552 | − | 0.227386i | ||||
\(156\) | 0.264506 | − | 4.87853i | 0.0211775 | − | 0.390595i | ||||
\(157\) | 0.121452 | + | 0.437429i | 0.00969289 | + | 0.0349107i | 0.968238 | − | 0.250029i | \(-0.0804402\pi\) |
−0.958545 | + | 0.284940i | \(0.908026\pi\) | |||||||
\(158\) | −7.27943 | + | 0.791686i | −0.579120 | + | 0.0629831i | ||||
\(159\) | 5.73984 | − | 6.75746i | 0.455199 | − | 0.535901i | ||||
\(160\) | 3.13601 | + | 0.690289i | 0.247924 | + | 0.0545721i | ||||
\(161\) | −21.5826 | − | 16.4066i | −1.70094 | − | 1.29302i | ||||
\(162\) | −0.452224 | + | 0.152372i | −0.0355301 | + | 0.0119715i | ||||
\(163\) | −0.608169 | − | 11.2170i | −0.0476355 | − | 0.878585i | −0.920529 | − | 0.390674i | \(-0.872242\pi\) |
0.872894 | − | 0.487911i | \(-0.162241\pi\) | |||||||
\(164\) | 10.0194 | − | 6.02847i | 0.782383 | − | 0.470744i | ||||
\(165\) | −0.678073 | + | 1.00008i | −0.0527879 | + | 0.0778563i | ||||
\(166\) | −6.07780 | + | 4.62022i | −0.471729 | + | 0.358599i | ||||
\(167\) | −6.82015 | + | 3.15534i | −0.527759 | + | 0.244167i | −0.665629 | − | 0.746283i | \(-0.731837\pi\) |
0.137870 | + | 0.990450i | \(0.455975\pi\) | |||||||
\(168\) | −5.02384 | − | 3.02275i | −0.387598 | − | 0.233210i | ||||
\(169\) | −2.52959 | + | 4.77132i | −0.194584 | + | 0.367024i | ||||
\(170\) | 1.48053 | − | 0.325888i | 0.113551 | − | 0.0249945i | ||||
\(171\) | 3.53306 | + | 1.63457i | 0.270180 | + | 0.124999i | ||||
\(172\) | −8.06468 | − | 11.8945i | −0.614926 | − | 0.906948i | ||||
\(173\) | 0.930473 | + | 0.313513i | 0.0707426 | + | 0.0238359i | 0.354450 | − | 0.935075i | \(-0.384668\pi\) |
−0.283708 | + | 0.958911i | \(0.591565\pi\) | |||||||
\(174\) | 0.0526685 | − | 0.189695i | 0.00399279 | − | 0.0143807i | ||||
\(175\) | 2.40666 | − | 14.6799i | 0.181926 | − | 1.10970i | ||||
\(176\) | −4.93318 | −0.371852 | ||||||||
\(177\) | −3.58913 | + | 6.79104i | −0.269775 | + | 0.510446i | ||||
\(178\) | 4.06536 | 0.304711 | ||||||||
\(179\) | −0.863951 | + | 5.26987i | −0.0645748 | + | 0.393889i | 0.934687 | + | 0.355472i | \(0.115680\pi\) |
−0.999262 | + | 0.0384169i | \(0.987769\pi\) | |||||||
\(180\) | −0.311868 | + | 1.12325i | −0.0232452 | + | 0.0837218i | ||||
\(181\) | 2.81257 | + | 0.947665i | 0.209057 | + | 0.0704394i | 0.421881 | − | 0.906651i | \(-0.361370\pi\) |
−0.212825 | + | 0.977090i | \(0.568266\pi\) | |||||||
\(182\) | −2.40451 | − | 3.54639i | −0.178234 | − | 0.262876i | ||||
\(183\) | 5.23112 | + | 2.42017i | 0.386696 | + | 0.178904i | ||||
\(184\) | 14.6337 | − | 3.22112i | 1.07881 | − | 0.237464i | ||||
\(185\) | −1.64533 | + | 3.10342i | −0.120967 | + | 0.228168i | ||||
\(186\) | −1.99187 | − | 1.19847i | −0.146051 | − | 0.0878759i | ||||
\(187\) | −8.05191 | + | 3.72521i | −0.588814 | + | 0.272414i | ||||
\(188\) | −0.452565 | + | 0.344031i | −0.0330067 | + | 0.0250910i | ||||
\(189\) | 1.82779 | − | 2.69579i | 0.132952 | − | 0.196090i | ||||
\(190\) | −1.04701 | + | 0.629964i | −0.0759580 | + | 0.0457024i | ||||
\(191\) | 1.41730 | + | 26.1406i | 0.102552 | + | 1.89147i | 0.371678 | + | 0.928362i | \(0.378783\pi\) |
−0.269126 | + | 0.963105i | \(0.586735\pi\) | |||||||
\(192\) | −2.88218 | + | 0.971121i | −0.208004 | + | 0.0700846i | ||||
\(193\) | 0.795059 | + | 0.604388i | 0.0572296 | + | 0.0435048i | 0.633398 | − | 0.773826i | \(-0.281660\pi\) |
−0.576168 | + | 0.817331i | \(0.695453\pi\) | |||||||
\(194\) | −1.57260 | − | 0.346155i | −0.112906 | − | 0.0248525i | ||||
\(195\) | −1.17389 | + | 1.38201i | −0.0840641 | + | 0.0989679i | ||||
\(196\) | 6.35713 | − | 0.691379i | 0.454081 | − | 0.0493842i | ||||
\(197\) | −5.58508 | − | 20.1156i | −0.397921 | − | 1.43318i | −0.843109 | − | 0.537743i | \(-0.819277\pi\) |
0.445188 | − | 0.895437i | \(-0.353137\pi\) | |||||||
\(198\) | −0.0474585 | + | 0.875320i | −0.00337273 | + | 0.0622063i | ||||
\(199\) | 7.92135 | + | 14.9412i | 0.561529 | + | 1.05916i | 0.987971 | + | 0.154642i | \(0.0494223\pi\) |
−0.426441 | + | 0.904515i | \(0.640233\pi\) | |||||||
\(200\) | 5.32275 | + | 6.26642i | 0.376375 | + | 0.443103i | ||||
\(201\) | −6.18373 | − | 5.85754i | −0.436166 | − | 0.413159i | ||||
\(202\) | −0.887773 | + | 2.22814i | −0.0624635 | + | 0.156772i | ||||
\(203\) | 0.497347 | + | 1.24825i | 0.0349069 | + | 0.0876098i | ||||
\(204\) | −6.21415 | + | 5.88636i | −0.435078 | + | 0.412127i | ||||
\(205\) | −4.31437 | − | 0.469216i | −0.301329 | − | 0.0327715i | ||||
\(206\) | −1.31783 | − | 8.03842i | −0.0918177 | − | 0.560063i | ||||
\(207\) | 1.34663 | + | 8.21411i | 0.0935976 | + | 0.570920i | ||||
\(208\) | −7.35986 | − | 0.800432i | −0.510314 | − | 0.0555000i | ||||
\(209\) | 5.19161 | − | 4.91775i | 0.359111 | − | 0.340168i | ||||
\(210\) | 0.378405 | + | 0.949725i | 0.0261124 | + | 0.0655373i | ||||
\(211\) | 2.05999 | − | 5.17018i | 0.141815 | − | 0.355930i | −0.840863 | − | 0.541248i | \(-0.817952\pi\) |
0.982679 | + | 0.185318i | \(0.0593314\pi\) | |||||||
\(212\) | −11.4078 | − | 10.8060i | −0.783490 | − | 0.742161i | ||||
\(213\) | −3.90030 | − | 4.59179i | −0.267244 | − | 0.314624i | ||||
\(214\) | −1.24345 | − | 2.34539i | −0.0850004 | − | 0.160328i | ||||
\(215\) | −0.288753 | + | 5.32574i | −0.0196928 | + | 0.363212i | ||||
\(216\) | 0.481590 | + | 1.73453i | 0.0327681 | + | 0.118020i | ||||
\(217\) | 15.7730 | − | 1.71542i | 1.07074 | − | 0.116450i | ||||
\(218\) | −0.0162966 | + | 0.0191858i | −0.00110374 | + | 0.00129943i | ||||
\(219\) | 4.12238 | + | 0.907405i | 0.278565 | + | 0.0613167i | ||||
\(220\) | 1.70476 | + | 1.29593i | 0.114935 | + | 0.0873713i | ||||
\(221\) | −12.6172 | + | 4.25121i | −0.848721 | + | 0.285968i | ||||
\(222\) | 0.137966 | + | 2.54464i | 0.00925970 | + | 0.170785i | ||||
\(223\) | 3.78354 | − | 2.27648i | 0.253364 | − | 0.152444i | −0.383206 | − | 0.923663i | \(-0.625180\pi\) |
0.636570 | + | 0.771219i | \(0.280352\pi\) | |||||||
\(224\) | −8.92299 | + | 13.1604i | −0.596192 | + | 0.879318i | ||||
\(225\) | −3.63603 | + | 2.76404i | −0.242402 | + | 0.184269i | ||||
\(226\) | −0.148314 | + | 0.0686174i | −0.00986571 | + | 0.00456436i | ||||
\(227\) | 25.5385 | + | 15.3660i | 1.69505 | + | 1.01988i | 0.923405 | + | 0.383827i | \(0.125394\pi\) |
0.771646 | + | 0.636052i | \(0.219434\pi\) | |||||||
\(228\) | 3.23165 | − | 6.09554i | 0.214021 | − | 0.403687i | ||||
\(229\) | 26.5082 | − | 5.83490i | 1.75171 | − | 0.385581i | 0.780756 | − | 0.624836i | \(-0.214834\pi\) |
0.970957 | + | 0.239255i | \(0.0769032\pi\) | |||||||
\(230\) | −2.37124 | − | 1.09705i | −0.156355 | − | 0.0723376i | ||||
\(231\) | −3.35758 | − | 4.95206i | −0.220913 | − | 0.325822i | ||||
\(232\) | −0.703775 | − | 0.237129i | −0.0462051 | − | 0.0155683i | ||||
\(233\) | −2.81358 | + | 10.1336i | −0.184324 | + | 0.663875i | 0.812408 | + | 0.583090i | \(0.198157\pi\) |
−0.996732 | + | 0.0807851i | \(0.974257\pi\) | |||||||
\(234\) | −0.212829 | + | 1.29820i | −0.0139130 | + | 0.0848658i | ||||
\(235\) | 0.210987 | 0.0137632 | ||||||||
\(236\) | 11.6736 | + | 7.00318i | 0.759884 | + | 0.455868i | ||||
\(237\) | −15.3443 | −0.996717 | ||||||||
\(238\) | −1.21443 | + | 7.40767i | −0.0787195 | + | 0.480168i | ||||
\(239\) | 5.99388 | − | 21.5880i | 0.387712 | − | 1.39641i | −0.470176 | − | 0.882573i | \(-0.655809\pi\) |
0.857887 | − | 0.513838i | \(-0.171777\pi\) | |||||||
\(240\) | 1.67396 | + | 0.564024i | 0.108054 | + | 0.0364076i | ||||
\(241\) | 16.9204 | + | 24.9557i | 1.08994 | + | 1.60754i | 0.742518 | + | 0.669827i | \(0.233632\pi\) |
0.347419 | + | 0.937710i | \(0.387058\pi\) | |||||||
\(242\) | −3.30263 | − | 1.52796i | −0.212301 | − | 0.0982210i | ||||
\(243\) | −0.976621 | + | 0.214970i | −0.0626502 | + | 0.0137904i | ||||
\(244\) | 4.78485 | − | 9.02518i | 0.306318 | − | 0.577778i | ||||
\(245\) | −2.03358 | − | 1.22356i | −0.129920 | − | 0.0781705i | ||||
\(246\) | −2.85752 | + | 1.32203i | −0.182189 | + | 0.0842894i | ||||
\(247\) | 8.54334 | − | 6.49448i | 0.543599 | − | 0.413234i | ||||
\(248\) | −4.92112 | + | 7.25810i | −0.312491 | + | 0.460890i | ||||
\(249\) | −13.7084 | + | 8.24806i | −0.868734 | + | 0.522700i | ||||
\(250\) | −0.162583 | − | 2.99866i | −0.0102826 | − | 0.189652i | ||||
\(251\) | −28.4901 | + | 9.59943i | −1.79828 | + | 0.605910i | −0.798284 | + | 0.602281i | \(0.794259\pi\) |
−0.999993 | + | 0.00362979i | \(0.998845\pi\) | |||||||
\(252\) | −4.59531 | − | 3.49326i | −0.289477 | − | 0.220055i | ||||
\(253\) | 14.9329 | + | 3.28699i | 0.938825 | + | 0.206651i | ||||
\(254\) | 4.80355 | − | 5.65518i | 0.301402 | − | 0.354838i | ||||
\(255\) | 3.15815 | − | 0.343469i | 0.197771 | − | 0.0215089i | ||||
\(256\) | 0.195541 | + | 0.704276i | 0.0122213 | + | 0.0440172i | ||||
\(257\) | −1.51130 | + | 27.8743i | −0.0942725 | + | 1.73875i | 0.444039 | + | 0.896008i | \(0.353545\pi\) |
−0.538311 | + | 0.842746i | \(0.680937\pi\) | |||||||
\(258\) | 1.81250 | + | 3.41874i | 0.112841 | + | 0.212841i | ||||
\(259\) | −11.2601 | − | 13.2564i | −0.699668 | − | 0.823713i | ||||
\(260\) | 2.33308 | + | 2.21001i | 0.144691 | + | 0.137059i | ||||
\(261\) | 0.152700 | − | 0.383249i | 0.00945192 | − | 0.0237225i | ||||
\(262\) | 0.224178 | + | 0.562643i | 0.0138497 | + | 0.0347602i | ||||
\(263\) | 10.5059 | − | 9.95171i | 0.647821 | − | 0.613649i | −0.291548 | − | 0.956556i | \(-0.594170\pi\) |
0.939369 | + | 0.342907i | \(0.111412\pi\) | |||||||
\(264\) | 3.28741 | + | 0.357528i | 0.202326 | + | 0.0220043i | ||||
\(265\) | 0.943486 | + | 5.75501i | 0.0579579 | + | 0.353527i | ||||
\(266\) | −0.978865 | − | 5.97081i | −0.0600180 | − | 0.366094i | ||||
\(267\) | 8.46917 | + | 0.921078i | 0.518305 | + | 0.0563690i | ||||
\(268\) | −10.9593 | + | 10.3812i | −0.669444 | + | 0.634131i | ||||
\(269\) | 4.49237 | + | 11.2750i | 0.273905 | + | 0.687450i | 1.00000 | 0.000144796i | \(-4.60899e-5\pi\) | |
−0.726095 | + | 0.687594i | \(0.758667\pi\) | |||||||
\(270\) | 0.116182 | − | 0.291594i | 0.00707059 | − | 0.0177458i | ||||
\(271\) | −2.19757 | − | 2.08165i | −0.133493 | − | 0.126451i | 0.618041 | − | 0.786146i | \(-0.287927\pi\) |
−0.751533 | + | 0.659695i | \(0.770685\pi\) | |||||||
\(272\) | 8.39667 | + | 9.88533i | 0.509123 | + | 0.599386i | ||||
\(273\) | −4.20571 | − | 7.93282i | −0.254541 | − | 0.480116i | ||||
\(274\) | −0.447881 | + | 8.26068i | −0.0270575 | + | 0.499046i | ||||
\(275\) | 2.24457 | + | 8.08422i | 0.135353 | + | 0.487497i | ||||
\(276\) | 14.6655 | − | 1.59497i | 0.882761 | − | 0.0960060i | ||||
\(277\) | 9.18669 | − | 10.8154i | 0.551975 | − | 0.649835i | −0.413447 | − | 0.910528i | \(-0.635675\pi\) |
0.965422 | + | 0.260693i | \(0.0839511\pi\) | |||||||
\(278\) | −0.0387657 | − | 0.00853298i | −0.00232501 | − | 0.000511774i | ||||
\(279\) | −3.87803 | − | 2.94801i | −0.232172 | − | 0.176492i | ||||
\(280\) | 3.65465 | − | 1.23140i | 0.218407 | − | 0.0735900i | ||||
\(281\) | −0.783700 | − | 14.4545i | −0.0467516 | − | 0.862283i | −0.924034 | − | 0.382309i | \(-0.875129\pi\) |
0.877283 | − | 0.479974i | \(-0.159354\pi\) | |||||||
\(282\) | 0.131159 | − | 0.0789159i | 0.00781042 | − | 0.00469937i | ||||
\(283\) | −14.8060 | + | 21.8373i | −0.880128 | + | 1.29809i | 0.0735592 | + | 0.997291i | \(0.476564\pi\) |
−0.953687 | + | 0.300801i | \(0.902746\pi\) | |||||||
\(284\) | −8.50021 | + | 6.46169i | −0.504395 | + | 0.383431i | ||||
\(285\) | −2.32391 | + | 1.07516i | −0.137657 | + | 0.0636868i | ||||
\(286\) | 2.07066 | + | 1.24587i | 0.122440 | + | 0.0736700i | ||||
\(287\) | 10.0657 | − | 18.9860i | 0.594162 | − | 1.12071i | ||||
\(288\) | 4.76770 | − | 1.04945i | 0.280939 | − | 0.0618394i | ||||
\(289\) | 5.74097 | + | 2.65606i | 0.337704 | + | 0.156239i | ||||
\(290\) | 0.0726704 | + | 0.107181i | 0.00426735 | + | 0.00629388i | ||||
\(291\) | −3.19769 | − | 1.07743i | −0.187452 | − | 0.0631600i | ||||
\(292\) | 2.00135 | − | 7.20822i | 0.117120 | − | 0.421829i | ||||
\(293\) | 1.91103 | − | 11.6567i | 0.111643 | − | 0.680994i | −0.870401 | − | 0.492344i | \(-0.836140\pi\) |
0.982044 | − | 0.188651i | \(-0.0604113\pi\) | |||||||
\(294\) | −1.72182 | −0.100419 | ||||||||
\(295\) | −1.87615 | − | 4.69111i | −0.109234 | − | 0.273127i | ||||
\(296\) | 9.61318 | 0.558755 | ||||||||
\(297\) | −0.297187 | + | 1.81276i | −0.0172445 | + | 0.105187i | ||||
\(298\) | −1.00993 | + | 3.63745i | −0.0585039 | + | 0.210712i | ||||
\(299\) | 21.7452 | + | 7.32683i | 1.25756 | + | 0.423721i | ||||
\(300\) | 4.54259 | + | 6.69981i | 0.262266 | + | 0.386814i | ||||
\(301\) | −23.9690 | − | 11.0893i | −1.38155 | − | 0.639174i | ||||
\(302\) | 4.03723 | − | 0.888662i | 0.232316 | − | 0.0511367i | ||||
\(303\) | −2.35428 | + | 4.44064i | −0.135250 | + | 0.255108i | ||||
\(304\) | −8.95785 | − | 5.38976i | −0.513768 | − | 0.309124i | ||||
\(305\) | −3.44083 | + | 1.59190i | −0.197022 | + | 0.0911519i | ||||
\(306\) | 1.83478 | − | 1.39477i | 0.104888 | − | 0.0797335i | ||||
\(307\) | 11.2577 | − | 16.6038i | 0.642510 | − | 0.947631i | −0.357397 | − | 0.933953i | \(-0.616336\pi\) |
0.999906 | − | 0.0136781i | \(-0.00435401\pi\) | |||||||
\(308\) | −9.08571 | + | 5.46669i | −0.517706 | + | 0.311494i | ||||
\(309\) | −0.924133 | − | 17.0446i | −0.0525721 | − | 0.969635i | ||||
\(310\) | 1.44901 | − | 0.488228i | 0.0822981 | − | 0.0277295i | ||||
\(311\) | −14.4203 | − | 10.9620i | −0.817698 | − | 0.621598i | 0.110420 | − | 0.993885i | \(-0.464781\pi\) |
−0.928118 | + | 0.372287i | \(0.878574\pi\) | |||||||
\(312\) | 4.84651 | + | 1.06680i | 0.274380 | + | 0.0603955i | ||||
\(313\) | 10.9473 | − | 12.8881i | 0.618776 | − | 0.728479i | −0.360105 | − | 0.932912i | \(-0.617259\pi\) |
0.978881 | + | 0.204433i | \(0.0655349\pi\) | |||||||
\(314\) | −0.215370 | + | 0.0234229i | −0.0121540 | + | 0.00132183i | ||||
\(315\) | 0.573137 | + | 2.06425i | 0.0322926 | + | 0.116307i | ||||
\(316\) | −1.47227 | + | 27.1544i | −0.0828216 | + | 1.52755i | ||||
\(317\) | 0.799733 | + | 1.50846i | 0.0449175 | + | 0.0847233i | 0.904955 | − | 0.425508i | \(-0.139905\pi\) |
−0.860037 | + | 0.510231i | \(0.829560\pi\) | |||||||
\(318\) | 2.73908 | + | 3.22469i | 0.153600 | + | 0.180832i | ||||
\(319\) | −0.550186 | − | 0.521164i | −0.0308045 | − | 0.0291796i | ||||
\(320\) | 0.740466 | − | 1.85843i | 0.0413933 | − | 0.103889i | ||||
\(321\) | −2.05903 | − | 5.16777i | −0.114924 | − | 0.288437i | ||||
\(322\) | 9.39242 | − | 8.89698i | 0.523419 | − | 0.495809i | ||||
\(323\) | −18.6910 | − | 2.03276i | −1.03999 | − | 0.113106i | ||||
\(324\) | 0.286722 | + | 1.74893i | 0.0159290 | + | 0.0971627i | ||||
\(325\) | 2.03699 | + | 12.4251i | 0.112992 | + | 0.689221i | ||||
\(326\) | 5.32925 | + | 0.579591i | 0.295160 | + | 0.0321006i | ||||
\(327\) | −0.0382968 | + | 0.0362766i | −0.00211782 | + | 0.00200610i | ||||
\(328\) | 4.39616 | + | 11.0335i | 0.242737 | + | 0.609225i | ||||
\(329\) | −0.386695 | + | 0.970532i | −0.0213192 | + | 0.0535072i | ||||
\(330\) | −0.418608 | − | 0.396526i | −0.0230436 | − | 0.0218281i | ||||
\(331\) | 4.99052 | + | 5.87530i | 0.274304 | + | 0.322936i | 0.882014 | − | 0.471223i | \(-0.156187\pi\) |
−0.607710 | + | 0.794159i | \(0.707912\pi\) | |||||||
\(332\) | 13.2811 | + | 25.0508i | 0.728895 | + | 1.37484i | ||||
\(333\) | −0.289114 | + | 5.33239i | −0.0158433 | + | 0.292213i | ||||
\(334\) | −0.959369 | − | 3.45534i | −0.0524944 | − | 0.189068i | ||||
\(335\) | 5.56970 | − | 0.605742i | 0.304305 | − | 0.0330952i | ||||
\(336\) | −5.66253 | + | 6.66644i | −0.308916 | + | 0.363684i | ||||
\(337\) | 14.4394 | + | 3.17835i | 0.786565 | + | 0.173136i | 0.590052 | − | 0.807365i | \(-0.299107\pi\) |
0.196513 | + | 0.980501i | \(0.437038\pi\) | |||||||
\(338\) | −2.05161 | − | 1.55959i | −0.111593 | − | 0.0848306i | ||||
\(339\) | −0.324522 | + | 0.109344i | −0.0176256 | + | 0.00593877i | ||||
\(340\) | −0.304808 | − | 5.62185i | −0.0165305 | − | 0.304888i | ||||
\(341\) | −7.66754 | + | 4.61340i | −0.415220 | + | 0.249830i | ||||
\(342\) | −1.04251 | + | 1.53759i | −0.0563725 | + | 0.0831433i | ||||
\(343\) | −8.79471 | + | 6.68557i | −0.474870 | + | 0.360987i | ||||
\(344\) | 13.2477 | − | 6.12902i | 0.714266 | − | 0.330455i | ||||
\(345\) | −4.69134 | − | 2.82269i | −0.252573 | − | 0.151968i | ||||
\(346\) | −0.219474 | + | 0.413973i | −0.0117990 | + | 0.0222553i | ||||
\(347\) | −32.4600 | + | 7.14500i | −1.74255 | + | 0.383563i | −0.968392 | − | 0.249433i | \(-0.919756\pi\) |
−0.774154 | + | 0.632997i | \(0.781825\pi\) | |||||||
\(348\) | −0.663575 | − | 0.307003i | −0.0355714 | − | 0.0164571i | ||||
\(349\) | −8.84541 | − | 13.0460i | −0.473484 | − | 0.698337i | 0.513692 | − | 0.857975i | \(-0.328278\pi\) |
−0.987176 | + | 0.159638i | \(0.948967\pi\) | |||||||
\(350\) | 6.72725 | + | 2.26668i | 0.359587 | + | 0.121159i | ||||
\(351\) | −0.737505 | + | 2.65625i | −0.0393651 | + | 0.141780i | ||||
\(352\) | 1.45082 | − | 8.84959i | 0.0773288 | − | 0.471685i | ||||
\(353\) | −30.0528 | −1.59955 | −0.799775 | − | 0.600299i | \(-0.795048\pi\) | ||||
−0.799775 | + | 0.600299i | \(0.795048\pi\) | |||||||
\(354\) | −2.92093 | − | 2.21447i | −0.155246 | − | 0.117698i | ||||
\(355\) | 3.96281 | 0.210324 | ||||||||
\(356\) | 2.44262 | − | 14.8993i | 0.129459 | − | 0.789662i | ||||
\(357\) | −4.20829 | + | 15.1569i | −0.222726 | + | 0.802188i | ||||
\(358\) | −2.41498 | − | 0.813701i | −0.127636 | − | 0.0430054i | ||||
\(359\) | 1.17155 | + | 1.72790i | 0.0618320 | + | 0.0911953i | 0.857348 | − | 0.514737i | \(-0.172110\pi\) |
−0.795516 | + | 0.605932i | \(0.792800\pi\) | |||||||
\(360\) | −1.07463 | − | 0.497178i | −0.0566381 | − | 0.0262036i | ||||
\(361\) | −3.75576 | + | 0.826706i | −0.197672 | + | 0.0435109i | ||||
\(362\) | −0.663412 | + | 1.25133i | −0.0348681 | + | 0.0657683i | ||||
\(363\) | −6.53403 | − | 3.93140i | −0.342948 | − | 0.206345i | ||||
\(364\) | −14.4421 | + | 6.68161i | −0.756969 | + | 0.350211i | ||||
\(365\) | −2.21032 | + | 1.68024i | −0.115693 | + | 0.0879479i | ||||
\(366\) | −1.54356 | + | 2.27658i | −0.0806833 | + | 0.118999i | ||||
\(367\) | 28.7287 | − | 17.2855i | 1.49963 | − | 0.902295i | 0.500289 | − | 0.865858i | \(-0.333227\pi\) |
0.999336 | − | 0.0364362i | \(-0.0116006\pi\) | |||||||
\(368\) | −1.21020 | − | 22.3208i | −0.0630859 | − | 1.16355i | ||||
\(369\) | −6.25246 | + | 2.10670i | −0.325490 | + | 0.109670i | ||||
\(370\) | −1.33443 | − | 1.01441i | −0.0693738 | − | 0.0527366i | ||||
\(371\) | −28.2021 | − | 6.20775i | −1.46418 | − | 0.322291i | ||||
\(372\) | −5.58911 | + | 6.58001i | −0.289782 | + | 0.341158i | ||||
\(373\) | 31.7739 | − | 3.45562i | 1.64519 | − | 0.178925i | 0.761881 | − | 0.647717i | \(-0.224276\pi\) |
0.883309 | + | 0.468792i | \(0.155311\pi\) | |||||||
\(374\) | −1.13264 | − | 4.07939i | −0.0585672 | − | 0.210940i | ||||
\(375\) | 0.340698 | − | 6.28381i | 0.0175936 | − | 0.324495i | ||||
\(376\) | −0.270470 | − | 0.510160i | −0.0139484 | − | 0.0263095i | ||||
\(377\) | −0.736267 | − | 0.866800i | −0.0379197 | − | 0.0446425i | ||||
\(378\) | 1.12839 | + | 1.06887i | 0.0580380 | + | 0.0549765i | ||||
\(379\) | −8.88523 | + | 22.3002i | −0.456404 | + | 1.14549i | 0.503210 | + | 0.864164i | \(0.332152\pi\) |
−0.959613 | + | 0.281322i | \(0.909227\pi\) | |||||||
\(380\) | 1.67970 | + | 4.21574i | 0.0861669 | + | 0.216263i | ||||
\(381\) | 11.2883 | − | 10.6928i | 0.578317 | − | 0.547811i | ||||
\(382\) | −12.4195 | − | 1.35070i | −0.635437 | − | 0.0691079i | ||||
\(383\) | −1.97449 | − | 12.0439i | −0.100892 | − | 0.615413i | −0.988072 | − | 0.153990i | \(-0.950788\pi\) |
0.887181 | − | 0.461422i | \(-0.152661\pi\) | |||||||
\(384\) | −1.81439 | − | 11.0673i | −0.0925902 | − | 0.564775i | ||||
\(385\) | 3.91232 | + | 0.425491i | 0.199390 | + | 0.0216850i | ||||
\(386\) | −0.345998 | + | 0.327747i | −0.0176109 | + | 0.0166819i | ||||
\(387\) | 3.00132 | + | 7.53274i | 0.152566 | + | 0.382911i | ||||
\(388\) | −2.21352 | + | 5.55551i | −0.112374 | + | 0.282038i | ||||
\(389\) | −24.4851 | − | 23.1936i | −1.24145 | − | 1.17596i | −0.977388 | − | 0.211453i | \(-0.932181\pi\) |
−0.264057 | − | 0.964507i | \(-0.585061\pi\) | |||||||
\(390\) | −0.560186 | − | 0.659502i | −0.0283661 | − | 0.0333952i | ||||
\(391\) | −18.8305 | − | 35.5180i | −0.952297 | − | 1.79622i | ||||
\(392\) | −0.351642 | + | 6.48565i | −0.0177606 | + | 0.327575i | ||||
\(393\) | 0.339542 | + | 1.22292i | 0.0171276 | + | 0.0616881i | ||||
\(394\) | 9.90401 | − | 1.07713i | 0.498957 | − | 0.0542648i | ||||
\(395\) | 6.53399 | − | 7.69241i | 0.328761 | − | 0.387047i | ||||
\(396\) | 3.17948 | + | 0.699857i | 0.159775 | + | 0.0351692i | ||||
\(397\) | −10.1709 | − | 7.73172i | −0.510463 | − | 0.388044i | 0.317997 | − | 0.948092i | \(-0.396990\pi\) |
−0.828460 | + | 0.560048i | \(0.810783\pi\) | |||||||
\(398\) | −7.64766 | + | 2.57680i | −0.383342 | + | 0.129163i | ||||
\(399\) | −0.686432 | − | 12.6605i | −0.0343646 | − | 0.633817i | ||||
\(400\) | 10.5099 | − | 6.32362i | 0.525497 | − | 0.316181i | ||||
\(401\) | 1.31503 | − | 1.93952i | 0.0656694 | − | 0.0968551i | −0.793436 | − | 0.608653i | \(-0.791710\pi\) |
0.859106 | + | 0.511798i | \(0.171020\pi\) | |||||||
\(402\) | 3.23582 | − | 2.45981i | 0.161388 | − | 0.122684i | ||||
\(403\) | −12.1878 | + | 5.63868i | −0.607118 | + | 0.280883i | ||||
\(404\) | 7.63261 | + | 4.59239i | 0.379737 | + | 0.228480i | ||||
\(405\) | 0.308101 | − | 0.581141i | 0.0153097 | − | 0.0288771i | ||||
\(406\) | −0.626219 | + | 0.137841i | −0.0310787 | + | 0.00684095i | ||||
\(407\) | 8.90310 | + | 4.11901i | 0.441310 | + | 0.204172i | ||||
\(408\) | −4.87902 | − | 7.19601i | −0.241547 | − | 0.356256i | ||||
\(409\) | −6.18426 | − | 2.08372i | −0.305792 | − | 0.103033i | 0.162222 | − | 0.986754i | \(-0.448134\pi\) |
−0.468014 | + | 0.883721i | \(0.655030\pi\) | |||||||
\(410\) | 0.554045 | − | 1.99549i | 0.0273623 | − | 0.0985502i | ||||
\(411\) | −2.80465 | + | 17.1076i | −0.138343 | + | 0.843856i | ||||
\(412\) | −30.2522 | −1.49042 | ||||||||
\(413\) | 25.0176 | − | 0.0323859i | 1.23103 | − | 0.00159360i | ||||
\(414\) | −3.97214 | −0.195220 | ||||||||
\(415\) | 1.70246 | − | 10.3846i | 0.0835705 | − | 0.509758i | ||||
\(416\) | 3.60038 | − | 12.9674i | 0.176523 | − | 0.635779i | ||||
\(417\) | −0.0788255 | − | 0.0265594i | −0.00386010 | − | 0.00130062i | ||||
\(418\) | 1.91505 | + | 2.82449i | 0.0936682 | + | 0.138150i | ||||
\(419\) | 3.15364 | + | 1.45903i | 0.154065 | + | 0.0712783i | 0.495407 | − | 0.868661i | \(-0.335019\pi\) |
−0.341341 | + | 0.939939i | \(0.610881\pi\) | |||||||
\(420\) | 3.70805 | − | 0.816204i | 0.180934 | − | 0.0398267i | ||||
\(421\) | −6.98275 | + | 13.1709i | −0.340318 | + | 0.641908i | −0.993313 | − | 0.115454i | \(-0.963168\pi\) |
0.652995 | + | 0.757363i | \(0.273512\pi\) | |||||||
\(422\) | 2.27569 | + | 1.36924i | 0.110779 | + | 0.0666536i | ||||
\(423\) | 0.291118 | − | 0.134685i | 0.0141546 | − | 0.00654862i | ||||
\(424\) | 12.7060 | − | 9.65883i | 0.617057 | − | 0.469074i | ||||
\(425\) | 12.3791 | − | 18.2578i | 0.600474 | − | 0.885632i | ||||
\(426\) | 2.46347 | − | 1.48222i | 0.119356 | − | 0.0718139i | ||||
\(427\) | −1.01634 | − | 18.7454i | −0.0491844 | − | 0.907152i | ||||
\(428\) | −9.34285 | + | 3.14797i | −0.451604 | + | 0.152163i | ||||
\(429\) | 4.03143 | + | 3.06461i | 0.194639 | + | 0.147961i | ||||
\(430\) | −2.48570 | − | 0.547143i | −0.119871 | − | 0.0263856i | ||||
\(431\) | 16.6072 | − | 19.5516i | 0.799943 | − | 0.941765i | −0.199329 | − | 0.979933i | \(-0.563876\pi\) |
0.999271 | + | 0.0381674i | \(0.0121520\pi\) | |||||||
\(432\) | 2.66977 | − | 0.290355i | 0.128449 | − | 0.0139697i | ||||
\(433\) | −5.43651 | − | 19.5805i | −0.261262 | − | 0.940980i | −0.971504 | − | 0.237023i | \(-0.923828\pi\) |
0.710242 | − | 0.703957i | \(-0.248585\pi\) | |||||||
\(434\) | −0.409903 | + | 7.56022i | −0.0196760 | + | 0.362902i | ||||
\(435\) | 0.127107 | + | 0.239750i | 0.00609432 | + | 0.0114951i | ||||
\(436\) | 0.0605234 | + | 0.0712536i | 0.00289854 | + | 0.00341243i | ||||
\(437\) | 23.5246 | + | 22.2837i | 1.12533 | + | 1.06597i | ||||
\(438\) | −0.745574 | + | 1.87125i | −0.0356249 | + | 0.0894118i | ||||
\(439\) | 9.86074 | + | 24.7486i | 0.470627 | + | 1.18119i | 0.952390 | + | 0.304884i | \(0.0986176\pi\) |
−0.481762 | + | 0.876302i | \(0.660003\pi\) | |||||||
\(440\) | −1.57910 | + | 1.49581i | −0.0752808 | + | 0.0713098i | ||||
\(441\) | −3.58699 | − | 0.390108i | −0.170809 | − | 0.0185766i | ||||
\(442\) | −1.02789 | − | 6.26985i | −0.0488918 | − | 0.298226i | ||||
\(443\) | 3.39743 | + | 20.7234i | 0.161417 | + | 0.984598i | 0.935968 | + | 0.352086i | \(0.114528\pi\) |
−0.774551 | + | 0.632511i | \(0.782024\pi\) | |||||||
\(444\) | 9.40886 | + | 1.02328i | 0.446525 | + | 0.0485625i | ||||
\(445\) | −4.06815 | + | 3.85356i | −0.192849 | + | 0.182676i | ||||
\(446\) | 0.779934 | + | 1.95749i | 0.0369310 | + | 0.0926897i | ||||
\(447\) | −2.92808 | + | 7.34892i | −0.138493 | + | 0.347592i | ||||
\(448\) | 7.19161 | + | 6.81225i | 0.339771 | + | 0.321849i | ||||
\(449\) | −13.4009 | − | 15.7768i | −0.632428 | − | 0.744552i | 0.348844 | − | 0.937181i | \(-0.386574\pi\) |
−0.981272 | + | 0.192629i | \(0.938299\pi\) | |||||||
\(450\) | −1.02092 | − | 1.92567i | −0.0481268 | − | 0.0907768i | ||||
\(451\) | −0.656161 | + | 12.1022i | −0.0308974 | + | 0.569869i | ||||
\(452\) | 0.162366 | + | 0.584791i | 0.00763707 | + | 0.0275063i | ||||
\(453\) | 8.61191 | − | 0.936602i | 0.404623 | − | 0.0440054i | ||||
\(454\) | −9.20779 | + | 10.8403i | −0.432143 | + | 0.508758i | ||||
\(455\) | 5.76780 | + | 1.26959i | 0.270398 | + | 0.0595192i | ||||
\(456\) | 5.57879 | + | 4.24089i | 0.261251 | + | 0.198598i | ||||
\(457\) | 9.11850 | − | 3.07238i | 0.426545 | − | 0.143720i | −0.0978377 | − | 0.995202i | \(-0.531193\pi\) |
0.524383 | + | 0.851483i | \(0.324296\pi\) | |||||||
\(458\) | 0.701244 | + | 12.9337i | 0.0327670 | + | 0.604351i | ||||
\(459\) | 4.13833 | − | 2.48995i | 0.193161 | − | 0.116221i | ||||
\(460\) | −5.44537 | + | 8.03132i | −0.253892 | + | 0.374462i | ||||
\(461\) | 7.34555 | − | 5.58394i | 0.342116 | − | 0.260070i | −0.419980 | − | 0.907533i | \(-0.637963\pi\) |
0.762097 | + | 0.647463i | \(0.224170\pi\) | |||||||
\(462\) | 2.59123 | − | 1.19883i | 0.120555 | − | 0.0557747i | ||||
\(463\) | −22.8380 | − | 13.7411i | −1.06137 | − | 0.638605i | −0.125911 | − | 0.992041i | \(-0.540186\pi\) |
−0.935459 | + | 0.353436i | \(0.885013\pi\) | |||||||
\(464\) | −0.518953 | + | 0.978850i | −0.0240918 | + | 0.0454420i | ||||
\(465\) | 3.12927 | − | 0.688804i | 0.145116 | − | 0.0319425i | ||||
\(466\) | −4.55489 | − | 2.10731i | −0.211001 | − | 0.0976195i | ||||
\(467\) | −14.0291 | − | 20.6914i | −0.649190 | − | 0.957484i | −0.999780 | − | 0.0209547i | \(-0.993329\pi\) |
0.350590 | − | 0.936529i | \(-0.385981\pi\) | |||||||
\(468\) | 4.62995 | + | 1.56001i | 0.214019 | + | 0.0721115i | ||||
\(469\) | −7.42174 | + | 26.7307i | −0.342704 | + | 1.23431i | ||||
\(470\) | −0.0162888 | + | 0.0993574i | −0.000751347 | + | 0.00458301i | ||||
\(471\) | −0.453977 | −0.0209181 | ||||||||
\(472\) | −8.93789 | + | 10.5501i | −0.411400 | + | 0.485610i | ||||
\(473\) | 14.8953 | 0.684884 | ||||||||
\(474\) | 1.18463 | − | 7.22589i | 0.0544116 | − | 0.331896i | ||||
\(475\) | −4.75666 | + | 17.1319i | −0.218251 | + | 0.786068i | ||||
\(476\) | 26.4190 | + | 8.90161i | 1.21091 | + | 0.408004i | ||||
\(477\) | 4.97558 | + | 7.33843i | 0.227816 | + | 0.336004i | ||||
\(478\) | 9.70343 | + | 4.48929i | 0.443825 | + | 0.205335i | ||||
\(479\) | 15.9973 | − | 3.52127i | 0.730935 | − | 0.160891i | 0.166117 | − | 0.986106i | \(-0.446877\pi\) |
0.564819 | + | 0.825215i | \(0.308946\pi\) | |||||||
\(480\) | −1.50410 | + | 2.83703i | −0.0686525 | + | 0.129492i | ||||
\(481\) | 12.6143 | + | 7.58977i | 0.575162 | + | 0.346064i | ||||
\(482\) | −13.0584 | + | 6.04145i | −0.594793 | + | 0.275181i | ||||
\(483\) | 21.5826 | − | 16.4066i | 0.982040 | − | 0.746528i | ||||
\(484\) | −7.58424 | + | 11.1859i | −0.344738 | + | 0.508451i | ||||
\(485\) | 1.90180 | − | 1.14428i | 0.0863563 | − | 0.0519589i | ||||
\(486\) | −0.0258353 | − | 0.476505i | −0.00117191 | − | 0.0216147i | ||||
\(487\) | −23.7330 | + | 7.99657i | −1.07544 | + | 0.362359i | −0.800643 | − | 0.599142i | \(-0.795509\pi\) |
−0.274801 | + | 0.961501i | \(0.588612\pi\) | |||||||
\(488\) | 8.26007 | + | 6.27914i | 0.373916 | + | 0.284243i | ||||
\(489\) | 10.9709 | + | 2.41487i | 0.496120 | + | 0.109204i | ||||
\(490\) | 0.733196 | − | 0.863185i | 0.0331224 | − | 0.0389947i | ||||
\(491\) | 23.0183 | − | 2.50339i | 1.03880 | − | 0.112976i | 0.427211 | − | 0.904152i | \(-0.359496\pi\) |
0.611589 | + | 0.791175i | \(0.290531\pi\) | |||||||
\(492\) | 3.12826 | + | 11.2670i | 0.141033 | + | 0.507954i | ||||
\(493\) | −0.107870 | + | 1.98955i | −0.00485824 | + | 0.0896049i | ||||
\(494\) | 2.39879 | + | 4.52461i | 0.107927 | + | 0.203572i | ||||
\(495\) | −0.782226 | − | 0.920907i | −0.0351584 | − | 0.0413917i | ||||
\(496\) | 9.49749 | + | 8.99650i | 0.426450 | + | 0.403955i | ||||
\(497\) | −7.26303 | + | 18.2288i | −0.325791 | + | 0.817675i | ||||
\(498\) | −2.82583 | − | 7.09230i | −0.126629 | − | 0.317814i | ||||
\(499\) | 11.7384 | − | 11.1192i | 0.525484 | − | 0.497764i | −0.378342 | − | 0.925666i | \(-0.623506\pi\) |
0.903825 | + | 0.427901i | \(0.140747\pi\) | |||||||
\(500\) | −11.0876 | − | 1.20585i | −0.495854 | − | 0.0539273i | ||||
\(501\) | −1.21574 | − | 7.41570i | −0.0543154 | − | 0.331309i | ||||
\(502\) | −2.32102 | − | 14.1576i | −0.103592 | − | 0.631885i | ||||
\(503\) | −19.1952 | − | 2.08761i | −0.855873 | − | 0.0930818i | −0.330347 | − | 0.943859i | \(-0.607166\pi\) |
−0.525526 | + | 0.850778i | \(0.676131\pi\) | |||||||
\(504\) | 4.25659 | − | 4.03205i | 0.189603 | − | 0.179602i | ||||
\(505\) | −1.22368 | − | 3.07119i | −0.0544529 | − | 0.136666i | ||||
\(506\) | −2.70077 | + | 6.77842i | −0.120064 | + | 0.301338i | ||||
\(507\) | −3.92067 | − | 3.71385i | −0.174123 | − | 0.164938i | ||||
\(508\) | −17.8398 | − | 21.0026i | −0.791512 | − | 0.931840i | ||||
\(509\) | −11.5906 | − | 21.8623i | −0.513746 | − | 0.969028i | −0.995683 | − | 0.0928221i | \(-0.970411\pi\) |
0.481936 | − | 0.876206i | \(-0.339934\pi\) | |||||||
\(510\) | −0.0820729 | + | 1.51375i | −0.00363425 | + | 0.0670298i | ||||
\(511\) | −3.67800 | − | 13.2470i | −0.162705 | − | 0.586011i | ||||
\(512\) | −22.6453 | + | 2.46283i | −1.00079 | + | 0.108843i | ||||
\(513\) | −2.52018 | + | 2.96699i | −0.111269 | + | 0.130996i | ||||
\(514\) | −13.0099 | − | 2.86369i | −0.573840 | − | 0.126312i | ||||
\(515\) | 8.93836 | + | 6.79477i | 0.393871 | + | 0.299413i | ||||
\(516\) | 13.6185 | − | 4.58860i | 0.599521 | − | 0.202002i | ||||
\(517\) | −0.0319003 | − | 0.588366i | −0.00140297 | − | 0.0258763i | ||||
\(518\) | 7.11200 | − | 4.27915i | 0.312483 | − | 0.188015i | ||||
\(519\) | −0.551013 | + | 0.812684i | −0.0241868 | + | 0.0356729i | ||||
\(520\) | −2.59858 | + | 1.97539i | −0.113955 | + | 0.0866266i | ||||
\(521\) | −19.4655 | + | 9.00568i | −0.852797 | + | 0.394546i | −0.797060 | − | 0.603900i | \(-0.793613\pi\) |
−0.0557367 | + | 0.998446i | \(0.517751\pi\) | |||||||
\(522\) | 0.168690 | + | 0.101497i | 0.00738336 | + | 0.00444242i | ||||
\(523\) | −7.63458 | + | 14.4003i | −0.333837 | + | 0.629683i | −0.992429 | − | 0.122817i | \(-0.960807\pi\) |
0.658593 | + | 0.752500i | \(0.271152\pi\) | |||||||
\(524\) | 2.19675 | − | 0.483541i | 0.0959655 | − | 0.0211236i | ||||
\(525\) | 13.5010 | + | 6.24624i | 0.589233 | + | 0.272608i | ||||
\(526\) | 3.87535 | + | 5.71572i | 0.168973 | + | 0.249217i | ||||
\(527\) | 22.2953 | + | 7.51217i | 0.971200 | + | 0.327235i | ||||
\(528\) | 1.31976 | − | 4.75336i | 0.0574354 | − | 0.206864i | ||||
\(529\) | −7.48808 | + | 45.6752i | −0.325569 | + | 1.98588i | ||||
\(530\) | −2.78298 | −0.120885 | ||||||||
\(531\) | −5.58331 | − | 5.27510i | −0.242295 | − | 0.228920i | ||||
\(532\) | −22.4708 | −0.974234 | ||||||||
\(533\) | −2.94257 | + | 17.9489i | −0.127457 | + | 0.777453i | ||||
\(534\) | −1.08760 | + | 3.91718i | −0.0470650 | + | 0.169513i | ||||
\(535\) | 3.46751 | + | 1.16834i | 0.149913 | + | 0.0505117i | ||||
\(536\) | −8.60463 | − | 12.6909i | −0.371663 | − | 0.548162i | ||||
\(537\) | −4.84665 | − | 2.24230i | −0.209148 | − | 0.0967624i | ||||
\(538\) | −5.65643 | + | 1.24508i | −0.243866 | + | 0.0536790i | ||||
\(539\) | −3.10461 | + | 5.85592i | −0.133725 | + | 0.252232i | ||||
\(540\) | −0.998870 | − | 0.601000i | −0.0429845 | − | 0.0258629i | ||||
\(541\) | 12.1961 | − | 5.64253i | 0.524353 | − | 0.242592i | −0.139811 | − | 0.990178i | \(-0.544650\pi\) |
0.664164 | + | 0.747587i | \(0.268788\pi\) | |||||||
\(542\) | 1.14994 | − | 0.874165i | 0.0493944 | − | 0.0375486i | ||||
\(543\) | −1.66556 | + | 2.45652i | −0.0714762 | + | 0.105420i | ||||
\(544\) | −20.2026 | + | 12.1555i | −0.866181 | + | 0.521164i | ||||
\(545\) | −0.00187848 | − | 0.0346466i | −8.04653e−5 | − | 0.00148410i | ||||
\(546\) | 4.06040 | − | 1.36811i | 0.173769 | − | 0.0585496i | ||||
\(547\) | −22.3954 | − | 17.0246i | −0.957559 | − | 0.727917i | 0.00471811 | − | 0.999989i | \(-0.498498\pi\) |
−0.962277 | + | 0.272071i | \(0.912291\pi\) | |||||||
\(548\) | 30.0058 | + | 6.60478i | 1.28179 | + | 0.282142i | ||||
\(549\) | −3.73143 | + | 4.39298i | −0.159254 | + | 0.187488i | ||||
\(550\) | −3.98029 | + | 0.432883i | −0.169720 | + | 0.0184582i | ||||
\(551\) | −0.429650 | − | 1.54746i | −0.0183037 | − | 0.0659239i | ||||
\(552\) | −0.811217 | + | 14.9620i | −0.0345277 | + | 0.636826i | ||||
\(553\) | 23.4094 | + | 44.1548i | 0.995469 | + | 1.87765i | ||||
\(554\) | 4.38393 | + | 5.16117i | 0.186255 | + | 0.219277i | ||||
\(555\) | −2.55013 | − | 2.41561i | −0.108247 | − | 0.102537i | ||||
\(556\) | −0.0545648 | + | 0.136947i | −0.00231406 | + | 0.00580786i | ||||
\(557\) | 16.0647 | + | 40.3193i | 0.680682 | + | 1.70838i | 0.705518 | + | 0.708692i | \(0.250714\pi\) |
−0.0248359 | + | 0.999692i | \(0.507906\pi\) | |||||||
\(558\) | 1.68767 | − | 1.59864i | 0.0714446 | − | 0.0676759i | ||||
\(559\) | 22.2224 | + | 2.41683i | 0.939906 | + | 0.102221i | ||||
\(560\) | −0.930778 | − | 5.67749i | −0.0393325 | − | 0.239918i | ||||
\(561\) | −1.43531 | − | 8.75502i | −0.0605989 | − | 0.369637i | ||||
\(562\) | 6.86739 | + | 0.746874i | 0.289683 | + | 0.0315050i | ||||
\(563\) | 18.2041 | − | 17.2439i | 0.767213 | − | 0.726743i | −0.200253 | − | 0.979744i | \(-0.564176\pi\) |
0.967466 | + | 0.253001i | \(0.0814177\pi\) | |||||||
\(564\) | −0.210417 | − | 0.528107i | −0.00886015 | − | 0.0222373i | ||||
\(565\) | 0.0833735 | − | 0.209252i | 0.00350755 | − | 0.00880329i | ||||
\(566\) | −9.14050 | − | 8.65834i | −0.384204 | − | 0.363937i | ||||
\(567\) | 2.10855 | + | 2.48237i | 0.0885506 | + | 0.104250i | ||||
\(568\) | −5.08004 | − | 9.58198i | −0.213154 | − | 0.402051i | ||||
\(569\) | 1.67106 | − | 30.8208i | 0.0700543 | − | 1.29208i | −0.726356 | − | 0.687319i | \(-0.758788\pi\) |
0.796410 | − | 0.604757i | \(-0.206730\pi\) | |||||||
\(570\) | −0.326898 | − | 1.17738i | −0.0136922 | − | 0.0493150i | ||||
\(571\) | 1.53655 | − | 0.167110i | 0.0643025 | − | 0.00699332i | −0.0759112 | − | 0.997115i | \(-0.524187\pi\) |
0.140214 | + | 0.990121i | \(0.455221\pi\) | |||||||
\(572\) | 5.81018 | − | 6.84027i | 0.242936 | − | 0.286006i | ||||
\(573\) | −25.5669 | − | 5.62771i | −1.06807 | − | 0.235101i | ||||
\(574\) | 8.16375 | + | 6.20592i | 0.340748 | + | 0.259030i | ||||
\(575\) | −36.0274 | + | 12.1391i | −1.50245 | + | 0.506233i | ||||
\(576\) | −0.164658 | − | 3.03693i | −0.00686074 | − | 0.126539i | ||||
\(577\) | 1.66084 | − | 0.999297i | 0.0691419 | − | 0.0416013i | −0.480563 | − | 0.876960i | \(-0.659568\pi\) |
0.549705 | + | 0.835359i | \(0.314740\pi\) | |||||||
\(578\) | −1.69401 | + | 2.49847i | −0.0704614 | + | 0.103923i | ||||
\(579\) | −0.795059 | + | 0.604388i | −0.0330415 | + | 0.0251175i | ||||
\(580\) | 0.436475 | − | 0.201935i | 0.0181236 | − | 0.00838489i | ||||
\(581\) | 44.6484 | + | 26.8641i | 1.85233 | + | 1.11451i | ||||
\(582\) | 0.754253 | − | 1.42267i | 0.0312648 | − | 0.0589716i | ||||
\(583\) | 15.9060 | − | 3.50118i | 0.658760 | − | 0.145004i | ||||
\(584\) | 6.89625 | + | 3.19055i | 0.285369 | + | 0.132026i | ||||
\(585\) | −1.01759 | − | 1.50083i | −0.0420721 | − | 0.0620517i | ||||
\(586\) | 5.34183 | + | 1.79987i | 0.220669 | + | 0.0743521i | ||||
\(587\) | −6.07102 | + | 21.8658i | −0.250578 | + | 0.902500i | 0.726064 | + | 0.687627i | \(0.241348\pi\) |
−0.976642 | + | 0.214873i | \(0.931066\pi\) | |||||||
\(588\) | −1.03453 | + | 6.31037i | −0.0426634 | + | 0.260235i | ||||
\(589\) | −18.9634 | −0.781373 | ||||||||
\(590\) | 2.35397 | − | 0.521344i | 0.0969115 | − | 0.0214634i | ||||
\(591\) | 20.8766 | 0.858749 | ||||||||
\(592\) | 2.32015 | − | 14.1523i | 0.0953577 | − | 0.581656i | ||||
\(593\) | −4.60740 | + | 16.5943i | −0.189203 | + | 0.681448i | 0.806695 | + | 0.590968i | \(0.201254\pi\) |
−0.995898 | + | 0.0904801i | \(0.971160\pi\) | |||||||
\(594\) | −0.830718 | − | 0.279901i | −0.0340848 | − | 0.0114845i | ||||
\(595\) | −5.80648 | − | 8.56391i | −0.238042 | − | 0.351086i | ||||
\(596\) | 12.7243 | + | 5.88687i | 0.521206 | + | 0.241136i | ||||
\(597\) | −16.5158 | + | 3.63541i | −0.675948 | + | 0.148787i | ||||
\(598\) | −5.12914 | + | 9.67458i | −0.209746 | + | 0.395623i | ||||
\(599\) | 5.33664 | + | 3.21095i | 0.218049 | + | 0.131196i | 0.620388 | − | 0.784295i | \(-0.286975\pi\) |
−0.402339 | + | 0.915491i | \(0.631803\pi\) | |||||||
\(600\) | −7.46200 | + | 3.45229i | −0.304635 | + | 0.140939i | ||||
\(601\) | 16.6750 | − | 12.6760i | 0.680186 | − | 0.517064i | −0.207079 | − | 0.978324i | \(-0.566396\pi\) |
0.887265 | + | 0.461260i | \(0.152603\pi\) | |||||||
\(602\) | 7.07262 | − | 10.4313i | 0.288258 | − | 0.425149i | ||||
\(603\) | 7.29835 | − | 4.39127i | 0.297212 | − | 0.178826i | ||||
\(604\) | −0.831178 | − | 15.3302i | −0.0338201 | − | 0.623776i | ||||
\(605\) | 4.75326 | − | 1.60156i | 0.193247 | − | 0.0651126i | ||||
\(606\) | −1.90942 | − | 1.45150i | −0.0775650 | − | 0.0589634i | ||||
\(607\) | 4.33035 | + | 0.953183i | 0.175764 | + | 0.0386885i | 0.301980 | − | 0.953314i | \(-0.402352\pi\) |
−0.126216 | + | 0.992003i | \(0.540283\pi\) | |||||||
\(608\) | 12.3031 | − | 14.4843i | 0.498957 | − | 0.587417i | ||||
\(609\) | −1.33580 | + | 0.145277i | −0.0541295 | + | 0.00588694i | ||||
\(610\) | −0.484011 | − | 1.74325i | −0.0195970 | − | 0.0705822i | ||||
\(611\) | 0.0478730 | − | 0.882965i | 0.00193673 | − | 0.0357209i | ||||
\(612\) | −4.00934 | − | 7.56241i | −0.162068 | − | 0.305692i | ||||
\(613\) | 5.88655 | + | 6.93018i | 0.237756 | + | 0.279907i | 0.868080 | − | 0.496424i | \(-0.165354\pi\) |
−0.630324 | + | 0.776332i | \(0.717078\pi\) | |||||||
\(614\) | 6.94992 | + | 6.58331i | 0.280476 | + | 0.265681i | ||||
\(615\) | 1.60633 | − | 4.03158i | 0.0647734 | − | 0.162569i | ||||
\(616\) | −3.98649 | − | 10.0053i | −0.160620 | − | 0.403127i | ||||
\(617\) | −29.7516 | + | 28.1822i | −1.19775 | + | 1.13457i | −0.210139 | + | 0.977671i | \(0.567392\pi\) |
−0.987614 | + | 0.156901i | \(0.949850\pi\) | |||||||
\(618\) | 8.09797 | + | 0.880708i | 0.325748 | + | 0.0354273i | ||||
\(619\) | −4.05364 | − | 24.7261i | −0.162930 | − | 0.993827i | −0.934051 | − | 0.357139i | \(-0.883752\pi\) |
0.771122 | − | 0.636688i | \(-0.219696\pi\) | |||||||
\(620\) | −0.918710 | − | 5.60388i | −0.0368963 | − | 0.225057i | ||||
\(621\) | −8.27497 | − | 0.899957i | −0.332063 | − | 0.0361140i | ||||
\(622\) | 6.27549 | − | 5.94446i | 0.251624 | − | 0.238351i | ||||
\(623\) | −10.2702 | − | 25.7762i | −0.411466 | − | 1.03270i | ||||
\(624\) | 2.74023 | − | 6.87745i | 0.109697 | − | 0.275318i | ||||
\(625\) | −13.5742 | − | 12.8582i | −0.542970 | − | 0.514328i | ||||
\(626\) | 5.22408 | + | 6.15027i | 0.208796 | + | 0.245814i | ||||
\(627\) | 3.34960 | + | 6.31801i | 0.133770 | + | 0.252317i | ||||
\(628\) | −0.0435586 | + | 0.803392i | −0.00173818 | + | 0.0320588i | ||||
\(629\) | −6.89994 | − | 24.8513i | −0.275119 | − | 0.990888i | ||||
\(630\) | −1.01634 | + | 0.110534i | −0.0404920 | + | 0.00440377i | ||||
\(631\) | 31.1774 | − | 36.7049i | 1.24115 | − | 1.46120i | 0.403512 | − | 0.914974i | \(-0.367789\pi\) |
0.837640 | − | 0.546223i | \(-0.183935\pi\) | |||||||
\(632\) | −26.9762 | − | 5.93790i | −1.07305 | − | 0.236197i | ||||
\(633\) | 4.43062 | + | 3.36807i | 0.176101 | + | 0.133869i | ||||
\(634\) | −0.772101 | + | 0.260151i | −0.0306641 | + | 0.0103319i | ||||
\(635\) | 0.553698 | + | 10.2124i | 0.0219728 | + | 0.405265i | ||||
\(636\) | 13.4641 | − | 8.10105i | 0.533885 | − | 0.321228i | ||||
\(637\) | −5.58195 | + | 8.23276i | −0.221165 | + | 0.326194i | ||||
\(638\) | 0.287902 | − | 0.218857i | 0.0113981 | − | 0.00866464i | ||||
\(639\) | 5.46786 | − | 2.52970i | 0.216305 | − | 0.100073i | ||||
\(640\) | 6.32089 | + | 3.80315i | 0.249855 | + | 0.150333i | ||||
\(641\) | −10.2111 | + | 19.2603i | −0.403316 | + | 0.760734i | −0.999100 | − | 0.0424101i | \(-0.986496\pi\) |
0.595785 | + | 0.803144i | \(0.296841\pi\) | |||||||
\(642\) | 2.59256 | − | 0.570666i | 0.102320 | − | 0.0225224i | ||||
\(643\) | 16.1625 | + | 7.47756i | 0.637386 | + | 0.294886i | 0.711844 | − | 0.702338i | \(-0.247860\pi\) |
−0.0744576 | + | 0.997224i | \(0.523723\pi\) | |||||||
\(644\) | −26.9636 | − | 39.7684i | −1.06252 | − | 1.56709i | ||||
\(645\) | −5.05437 | − | 1.70301i | −0.199016 | − | 0.0670561i | ||||
\(646\) | 2.40027 | − | 8.64497i | 0.0944372 | − | 0.340132i | ||||
\(647\) | 6.94078 | − | 42.3369i | 0.272870 | − | 1.66443i | −0.393887 | − | 0.919159i | \(-0.628870\pi\) |
0.666757 | − | 0.745275i | \(-0.267682\pi\) | |||||||
\(648\) | −1.80015 | −0.0707165 | ||||||||
\(649\) | −12.7982 | + | 5.94119i | −0.502372 | + | 0.233212i | ||||
\(650\) | −6.00847 | −0.235672 | ||||||||
\(651\) | −2.56683 | + | 15.6570i | −0.100602 | + | 0.613646i | ||||
\(652\) | 5.32618 | − | 19.1832i | 0.208589 | − | 0.751271i | ||||
\(653\) | 11.9200 | + | 4.01631i | 0.466466 | + | 0.157171i | 0.542713 | − | 0.839918i | \(-0.317397\pi\) |
−0.0762472 | + | 0.997089i | \(0.524294\pi\) | |||||||
\(654\) | −0.0141267 | − | 0.0208353i | −0.000552398 | − | 0.000814726i | ||||
\(655\) | −0.757662 | − | 0.350532i | −0.0296043 | − | 0.0136964i | ||||
\(656\) | 17.3043 | − | 3.80897i | 0.675620 | − | 0.148715i | ||||
\(657\) | −1.97718 | + | 3.72937i | −0.0771373 | + | 0.145496i | ||||
\(658\) | −0.427187 | − | 0.257030i | −0.0166535 | − | 0.0100201i | ||||
\(659\) | −9.69153 | + | 4.48378i | −0.377528 | + | 0.174663i | −0.599471 | − | 0.800396i | \(-0.704622\pi\) |
0.221943 | + | 0.975060i | \(0.428760\pi\) | |||||||
\(660\) | −1.70476 | + | 1.29593i | −0.0663578 | + | 0.0504439i | ||||
\(661\) | −15.1733 | + | 22.3789i | −0.590172 | + | 0.870439i | −0.999112 | − | 0.0421222i | \(-0.986588\pi\) |
0.408940 | + | 0.912561i | \(0.365898\pi\) | |||||||
\(662\) | −3.15207 | + | 1.89654i | −0.122509 | + | 0.0737110i | ||||
\(663\) | −0.720811 | − | 13.2946i | −0.0279940 | − | 0.516319i | ||||
\(664\) | −27.2920 | + | 9.19575i | −1.05914 | + | 0.356864i | ||||
\(665\) | 6.63928 | + | 5.04705i | 0.257460 | + | 0.195716i | ||||
\(666\) | −2.48880 | − | 0.547826i | −0.0964390 | − | 0.0212278i | ||||
\(667\) | 2.22310 | − | 2.61724i | 0.0860788 | − | 0.101340i | ||||
\(668\) | −13.2400 | + | 1.43994i | −0.512273 | + | 0.0557130i | ||||
\(669\) | 1.18130 | + | 4.25465i | 0.0456716 | + | 0.164494i | ||||
\(670\) | −0.144744 | + | 2.66964i | −0.00559194 | + | 0.103137i | ||||
\(671\) | 4.95948 | + | 9.35457i | 0.191459 | + | 0.361129i | ||||
\(672\) | −10.2936 | − | 12.1185i | −0.397083 | − | 0.467482i | ||||
\(673\) | 30.5326 | + | 28.9221i | 1.17695 | + | 1.11486i | 0.991215 | + | 0.132263i | \(0.0422243\pi\) |
0.185732 | + | 0.982600i | \(0.440534\pi\) | |||||||
\(674\) | −2.61151 | + | 6.55440i | −0.100592 | + | 0.252466i | ||||
\(675\) | −1.69055 | − | 4.24296i | −0.0650693 | − | 0.163312i | ||||
\(676\) | −6.94850 | + | 6.58197i | −0.267250 | + | 0.253153i | ||||
\(677\) | −43.9934 | − | 4.78457i | −1.69080 | − | 0.183886i | −0.788515 | − | 0.615016i | \(-0.789149\pi\) |
−0.902290 | + | 0.431130i | \(0.858115\pi\) | |||||||
\(678\) | −0.0264381 | − | 0.161265i | −0.00101535 | − | 0.00619335i | ||||
\(679\) | 1.77802 | + | 10.8455i | 0.0682343 | + | 0.416211i | ||||
\(680\) | 5.68513 | + | 0.618295i | 0.218015 | + | 0.0237105i | ||||
\(681\) | −21.6382 | + | 20.4968i | −0.829178 | + | 0.785439i | ||||
\(682\) | −1.58058 | − | 3.96695i | −0.0605234 | − | 0.151902i | ||||
\(683\) | 13.4619 | − | 33.7869i | 0.515106 | − | 1.29282i | −0.409645 | − | 0.912245i | \(-0.634347\pi\) |
0.924751 | − | 0.380573i | \(-0.124273\pi\) | |||||||
\(684\) | 5.00880 | + | 4.74459i | 0.191516 | + | 0.181414i | ||||
\(685\) | −7.38212 | − | 8.69091i | −0.282056 | − | 0.332062i | ||||
\(686\) | −2.46938 | − | 4.65774i | −0.0942812 | − | 0.177833i | ||||
\(687\) | −1.46948 | + | 27.1030i | −0.0560642 | + | 1.03404i | ||||
\(688\) | −5.82566 | − | 20.9821i | −0.222101 | − | 0.799937i | ||||
\(689\) | 24.2984 | − | 2.64261i | 0.925697 | − | 0.100676i | ||||
\(690\) | 1.69144 | − | 1.99132i | 0.0643920 | − | 0.0758082i | ||||
\(691\) | −23.6585 | − | 5.20763i | −0.900012 | − | 0.198108i | −0.259217 | − | 0.965819i | \(-0.583464\pi\) |
−0.640796 | + | 0.767712i | \(0.721395\pi\) | |||||||
\(692\) | 1.38532 | + | 1.05309i | 0.0526619 | + | 0.0400325i | ||||
\(693\) | 5.66981 | − | 1.91038i | 0.215378 | − | 0.0725694i | ||||
\(694\) | −0.858692 | − | 15.8376i | −0.0325955 | − | 0.601189i | ||||
\(695\) | 0.0468808 | − | 0.0282072i | 0.00177829 | − | 0.00106996i | ||||
\(696\) | 0.416766 | − | 0.614683i | 0.0157975 | − | 0.0232995i | ||||
\(697\) | 25.3677 | − | 19.2841i | 0.960872 | − | 0.730436i | ||||
\(698\) | 6.82649 | − | 3.15827i | 0.258387 | − | 0.119542i | ||||
\(699\) | −9.01153 | − | 5.42206i | −0.340847 | − | 0.205081i | ||||
\(700\) | 12.3492 | − | 23.2931i | 0.466757 | − | 0.880397i | ||||
\(701\) | −27.6917 | + | 6.09541i | −1.04590 | + | 0.230220i | −0.704505 | − | 0.709699i | \(-0.748831\pi\) |
−0.341397 | + | 0.939919i | \(0.610900\pi\) | |||||||
\(702\) | −1.19394 | − | 0.552376i | −0.0450624 | − | 0.0208481i | ||||
\(703\) | 11.6664 | + | 17.2066i | 0.440005 | + | 0.648959i | ||||
\(704\) | −5.29446 | − | 1.78391i | −0.199542 | − | 0.0672336i | ||||
\(705\) | −0.0564449 | + | 0.203296i | −0.00212584 | + | 0.00765657i | ||||
\(706\) | 2.32017 | − | 14.1524i | 0.0873208 | − | 0.532633i | ||||
\(707\) | 16.3702 | 0.615663 | ||||||||
\(708\) | −9.87093 | + | 9.37451i | −0.370972 | + | 0.352316i | ||||
\(709\) | 10.9393 | 0.410832 | 0.205416 | − | 0.978675i | \(-0.434145\pi\) | ||||
0.205416 | + | 0.978675i | \(0.434145\pi\) | |||||||
\(710\) | −0.305941 | + | 1.86616i | −0.0114818 | + | 0.0700358i | ||||
\(711\) | 4.10503 | − | 14.7850i | 0.153951 | − | 0.554480i | ||||
\(712\) | 14.5329 | + | 4.89670i | 0.544643 | + | 0.183511i | ||||
\(713\) | −22.7549 | − | 33.5610i | −0.852178 | − | 1.25687i | ||||
\(714\) | −6.81277 | − | 3.15192i | −0.254961 | − | 0.117958i | ||||
\(715\) | −3.25304 | + | 0.716049i | −0.121657 | + | 0.0267787i | ||||
\(716\) | −4.43318 | + | 8.36186i | −0.165676 | + | 0.312497i | ||||
\(717\) | 19.1976 | + | 11.5508i | 0.716947 | + | 0.431372i | ||||
\(718\) | −0.904149 | + | 0.418304i | −0.0337425 | + | 0.0156110i | ||||
\(719\) | −5.90658 | + | 4.49007i | −0.220278 | + | 0.167451i | −0.709494 | − | 0.704712i | \(-0.751076\pi\) |
0.489215 | + | 0.872163i | \(0.337283\pi\) | |||||||
\(720\) | −0.991297 | + | 1.46205i | −0.0369435 | + | 0.0544875i | ||||
\(721\) | −47.6380 | + | 28.6628i | −1.77413 | + | 1.06746i | ||||
\(722\) | −0.0993543 | − | 1.83248i | −0.00369758 | − | 0.0681979i | ||||
\(723\) | −28.5727 | + | 9.62727i | −1.06263 | + | 0.358042i | ||||
\(724\) | 4.18744 | + | 3.18321i | 0.155625 | + | 0.118303i | ||||
\(725\) | 1.84021 | + | 0.405060i | 0.0683435 | + | 0.0150435i | ||||
\(726\) | 2.35581 | − | 2.77348i | 0.0874325 | − | 0.102933i | ||||
\(727\) | −13.7698 | + | 1.49755i | −0.510693 | + | 0.0555412i | −0.359838 | − | 0.933015i | \(-0.617168\pi\) |
−0.150855 | + | 0.988556i | \(0.548203\pi\) | |||||||
\(728\) | −4.32407 | − | 15.5739i | −0.160261 | − | 0.577207i | ||||
\(729\) | 0.0541389 | − | 0.998533i | 0.00200514 | − | 0.0369827i | ||||
\(730\) | −0.620613 | − | 1.17060i | −0.0229699 | − | 0.0433259i | ||||
\(731\) | −25.3529 | − | 29.8478i | −0.937712 | − | 1.10396i | ||||
\(732\) | 7.41613 | + | 7.02493i | 0.274108 | + | 0.259649i | ||||
\(733\) | 13.3577 | − | 33.5252i | 0.493376 | − | 1.23828i | −0.445889 | − | 0.895088i | \(-0.647112\pi\) |
0.939265 | − | 0.343192i | \(-0.111508\pi\) | |||||||
\(734\) | 5.92210 | + | 14.8634i | 0.218589 | + | 0.548616i | ||||
\(735\) | 1.72300 | − | 1.63211i | 0.0635539 | − | 0.0602015i | ||||
\(736\) | 40.3970 | + | 4.39344i | 1.48905 | + | 0.161944i | ||||
\(737\) | −2.53131 | − | 15.4403i | −0.0932422 | − | 0.568752i | ||||
\(738\) | −0.509373 | − | 3.10704i | −0.0187503 | − | 0.114372i | ||||
\(739\) | 3.21231 | + | 0.349360i | 0.118167 | + | 0.0128514i | 0.167011 | − | 0.985955i | \(-0.446588\pi\) |
−0.0488446 | + | 0.998806i | \(0.515554\pi\) | |||||||
\(740\) | −4.51953 | + | 4.28113i | −0.166141 | + | 0.157377i | ||||
\(741\) | 3.97217 | + | 9.96939i | 0.145921 | + | 0.366235i | ||||
\(742\) | 5.10064 | − | 12.8016i | 0.187250 | − | 0.469963i | ||||
\(743\) | 9.44709 | + | 8.94876i | 0.346580 | + | 0.328298i | 0.841112 | − | 0.540862i | \(-0.181902\pi\) |
−0.494531 | + | 0.869160i | \(0.664660\pi\) | |||||||
\(744\) | −5.67701 | − | 6.68349i | −0.208129 | − | 0.245029i | ||||
\(745\) | −2.43732 | − | 4.59727i | −0.0892965 | − | 0.168431i | ||||
\(746\) | −0.825729 | + | 15.2297i | −0.0302321 | + | 0.557598i | ||||
\(747\) | −4.28004 | − | 15.4153i | −0.156598 | − | 0.564017i | ||||
\(748\) | −15.6313 | + | 1.70000i | −0.571536 | + | 0.0621582i | ||||
\(749\) | −11.7296 | + | 13.8091i | −0.428589 | + | 0.504574i | ||||
\(750\) | 2.93286 | + | 0.645571i | 0.107093 | + | 0.0235729i | ||||
\(751\) | −0.537702 | − | 0.408750i | −0.0196210 | − | 0.0149155i | 0.595318 | − | 0.803490i | \(-0.297026\pi\) |
−0.614939 | + | 0.788575i | \(0.710819\pi\) | |||||||
\(752\) | −0.816323 | + | 0.275051i | −0.0297683 | + | 0.0100301i | ||||
\(753\) | −1.62762 | − | 30.0197i | −0.0593139 | − | 1.09398i | ||||
\(754\) | 0.465034 | − | 0.279802i | 0.0169355 | − | 0.0101898i | ||||
\(755\) | −3.19764 | + | 4.71617i | −0.116374 | + | 0.171639i | ||||
\(756\) | 4.59531 | − | 3.49326i | 0.167130 | − | 0.127049i | ||||
\(757\) | 16.3407 | − | 7.56002i | 0.593914 | − | 0.274774i | −0.0998199 | − | 0.995006i | \(-0.531827\pi\) |
0.693733 | + | 0.720232i | \(0.255965\pi\) | |||||||
\(758\) | −9.81562 | − | 5.90586i | −0.356519 | − | 0.214511i | ||||
\(759\) | −7.16216 | + | 13.5093i | −0.259970 | + | 0.490355i | ||||
\(760\) | −4.50165 | + | 0.990887i | −0.163292 | + | 0.0359433i | ||||
\(761\) | 17.8981 | + | 8.28056i | 0.648807 | + | 0.300170i | 0.716553 | − | 0.697532i | \(-0.245719\pi\) |
−0.0677459 | + | 0.997703i | \(0.521581\pi\) | |||||||
\(762\) | 4.16396 | + | 6.14138i | 0.150844 | + | 0.222479i | ||||
\(763\) | 0.162816 | + | 0.0548591i | 0.00589434 | + | 0.00198603i | ||||
\(764\) | −12.4123 | + | 44.7052i | −0.449063 | + | 1.61738i | ||||
\(765\) | −0.513944 | + | 3.13492i | −0.0185817 | + | 0.113343i | ||||
\(766\) | 5.82411 | 0.210434 | ||||||||
\(767\) | −20.0577 | + | 6.78715i | −0.724241 | + | 0.245070i | ||||
\(768\) | −0.730918 | −0.0263747 | ||||||||
\(769\) | 2.52447 | − | 15.3986i | 0.0910348 | − | 0.555288i | −0.901446 | − | 0.432891i | \(-0.857494\pi\) |
0.992481 | − | 0.122397i | \(-0.0390582\pi\) | |||||||
\(770\) | −0.502415 | + | 1.80954i | −0.0181058 | + | 0.0652111i | ||||
\(771\) | −26.4540 | − | 8.91339i | −0.952718 | − | 0.321008i | ||||
\(772\) | 0.993286 | + | 1.46499i | 0.0357492 | + | 0.0527261i | ||||
\(773\) | 12.2088 | + | 5.64839i | 0.439120 | + | 0.203158i | 0.626977 | − | 0.779038i | \(-0.284292\pi\) |
−0.187857 | + | 0.982196i | \(0.560154\pi\) | |||||||
\(774\) | −3.77902 | + | 0.831825i | −0.135834 | + | 0.0298993i | ||||
\(775\) | 10.4217 | − | 19.6573i | 0.374357 | − | 0.706112i | ||||
\(776\) | −5.20480 | − | 3.13162i | −0.186841 | − | 0.112419i | ||||
\(777\) | 15.7856 | − | 7.30320i | 0.566306 | − | 0.262001i | ||||
\(778\) | 12.8126 | − | 9.73988i | 0.459354 | − | 0.349192i | ||||
\(779\) | −14.4138 | + | 21.2587i | −0.516427 | + | 0.761672i | ||||
\(780\) | −2.75362 | + | 1.65680i | −0.0985954 | + | 0.0593229i | ||||
\(781\) | −0.599161 | − | 11.0509i | −0.0214397 | − | 0.395431i | ||||
\(782\) | 18.1798 | − | 6.12550i | 0.650110 | − | 0.219048i | ||||
\(783\) | 0.328428 | + | 0.249664i | 0.0117371 | + | 0.00892228i | ||||
\(784\) | 9.46316 | + | 2.08300i | 0.337970 | + | 0.0743928i | ||||
\(785\) | 0.193315 | − | 0.227588i | 0.00689972 | − | 0.00812297i | ||||
\(786\) | −0.602109 | + | 0.0654833i | −0.0214765 | + | 0.00233571i | ||||
\(787\) | 8.96968 | + | 32.3059i | 0.319735 | + | 1.15158i | 0.932457 | + | 0.361282i | \(0.117661\pi\) |
−0.612722 | + | 0.790298i | \(0.709925\pi\) | |||||||
\(788\) | 2.00309 | − | 36.9448i | 0.0713571 | − | 1.31611i | ||||
\(789\) | 6.77835 | + | 12.7853i | 0.241316 | + | 0.455169i | ||||
\(790\) | 3.11805 | + | 3.67085i | 0.110935 | + | 0.130603i | ||||
\(791\) | 0.809746 | + | 0.767032i | 0.0287912 | + | 0.0272725i | ||||
\(792\) | −1.22397 | + | 3.07194i | −0.0434920 | + | 0.109157i | ||||
\(793\) | 5.88127 | + | 14.7609i | 0.208850 | + | 0.524174i | ||||
\(794\) | 4.42624 | − | 4.19275i | 0.157081 | − | 0.148795i | ||||
\(795\) | −5.79765 | − | 0.630532i | −0.205621 | − | 0.0223627i | ||||
\(796\) | 4.84882 | + | 29.5765i | 0.171862 | + | 1.04831i | ||||
\(797\) | 4.91233 | + | 29.9639i | 0.174004 | + | 1.06137i | 0.918986 | + | 0.394290i | \(0.129010\pi\) |
−0.744982 | + | 0.667084i | \(0.767542\pi\) | |||||||
\(798\) | 6.01505 | + | 0.654176i | 0.212930 | + | 0.0231576i | ||||
\(799\) | −1.12470 | + | 1.06537i | −0.0397890 | + | 0.0376901i | ||||
\(800\) | 8.25298 | + | 20.7134i | 0.291787 | + | 0.732330i | ||||
\(801\) | −3.15325 | + | 7.91405i | −0.111415 | + | 0.279629i | ||||
\(802\) | 0.811832 | + | 0.769008i | 0.0286668 | + | 0.0271546i | ||||
\(803\) | 5.01979 | + | 5.90975i | 0.177145 | + | 0.208551i | ||||
\(804\) | −7.07086 | − | 13.3371i | −0.249370 | − | 0.470362i | ||||
\(805\) | −0.965423 | + | 17.8062i | −0.0340267 | + | 0.627585i | ||||
\(806\) | −1.71442 | − | 6.17479i | −0.0603879 | − | 0.217498i | ||||
\(807\) | −12.0659 | + | 1.31224i | −0.424739 | + | 0.0461931i | ||||
\(808\) | −5.85740 | + | 6.89587i | −0.206063 | + | 0.242596i | ||||
\(809\) | −46.7623 | − | 10.2932i | −1.64407 | − | 0.361888i | −0.705970 | − | 0.708242i | \(-0.749489\pi\) |
−0.938104 | + | 0.346354i | \(0.887420\pi\) | |||||||
\(810\) | 0.249883 | + | 0.189956i | 0.00878001 | + | 0.00667439i | ||||
\(811\) | 29.6279 | − | 9.98279i | 1.04038 | − | 0.350543i | 0.253292 | − | 0.967390i | \(-0.418487\pi\) |
0.787083 | + | 0.616847i | \(0.211590\pi\) | |||||||
\(812\) | 0.128925 | + | 2.37788i | 0.00452438 | + | 0.0834472i | ||||
\(813\) | 2.59368 | − | 1.56057i | 0.0909644 | − | 0.0547315i | ||||
\(814\) | −2.62707 | + | 3.87463i | −0.0920786 | + | 0.135806i | ||||
\(815\) | −5.88231 | + | 4.47161i | −0.206048 | + | 0.156634i | ||||
\(816\) | −11.7714 | + | 5.44601i | −0.412080 | + | 0.190648i | ||||
\(817\) | 27.0474 | + | 16.2739i | 0.946268 | + | 0.569350i | ||||
\(818\) | 1.45871 | − | 2.75141i | 0.0510024 | − | 0.0962008i | ||||
\(819\) | 8.76881 | − | 1.93016i | 0.306407 | − | 0.0674453i | ||||
\(820\) | −6.98047 | − | 3.22951i | −0.243769 | − | 0.112779i | ||||
\(821\) | −3.21963 | − | 4.74860i | −0.112366 | − | 0.165727i | 0.767348 | − | 0.641231i | \(-0.221576\pi\) |
−0.879714 | + | 0.475504i | \(0.842266\pi\) | |||||||
\(822\) | −7.83976 | − | 2.64152i | −0.273443 | − | 0.0921337i | ||||
\(823\) | −3.05459 | + | 11.0016i | −0.106476 | + | 0.383493i | −0.997517 | − | 0.0704312i | \(-0.977562\pi\) |
0.891040 | + | 0.453924i | \(0.149976\pi\) | |||||||
\(824\) | 4.97122 | − | 30.3231i | 0.173181 | − | 1.05636i | ||||
\(825\) | −8.39003 | −0.292103 | ||||||||
\(826\) | −1.91618 | + | 11.7837i | −0.0666726 | + | 0.410008i | ||||
\(827\) | 46.1535 | 1.60491 | 0.802456 | − | 0.596711i | \(-0.203526\pi\) | ||||
0.802456 | + | 0.596711i | \(0.203526\pi\) | |||||||
\(828\) | −2.38661 | + | 14.5577i | −0.0829403 | + | 0.505914i | ||||
\(829\) | −5.66846 | + | 20.4160i | −0.196874 | + | 0.709075i | 0.797516 | + | 0.603298i | \(0.206147\pi\) |
−0.994390 | + | 0.105778i | \(0.966267\pi\) | |||||||
\(830\) | 4.75884 | + | 1.60344i | 0.165182 | + | 0.0556562i | ||||
\(831\) | 7.96349 | + | 11.7453i | 0.276250 | + | 0.407439i | ||||
\(832\) | −7.60940 | − | 3.52048i | −0.263809 | − | 0.122051i | ||||
\(833\) | 17.0187 | − | 3.74609i | 0.589662 | − | 0.129794i | ||||
\(834\) | 0.0185929 | − | 0.0350699i | 0.000643819 | − | 0.00121437i | ||||
\(835\) | 4.23535 | + | 2.54832i | 0.146570 | + | 0.0881884i | ||||
\(836\) | 11.5022 | − | 5.32150i | 0.397813 | − | 0.184048i | ||||
\(837\) | 3.87803 | − | 2.94801i | 0.134044 | − | 0.101898i | ||||
\(838\) | −0.930555 | + | 1.37247i | −0.0321455 | + | 0.0474110i | ||||
\(839\) | −6.12258 | + | 3.68383i | −0.211375 | + | 0.127180i | −0.617305 | − | 0.786724i | \(-0.711775\pi\) |
0.405930 | + | 0.913904i | \(0.366948\pi\) | |||||||
\(840\) | 0.208788 | + | 3.85087i | 0.00720388 | + | 0.132868i | ||||
\(841\) | 27.3207 | − | 9.20540i | 0.942092 | − | 0.317428i | ||||
\(842\) | −5.66331 | − | 4.30513i | −0.195170 | − | 0.148365i | ||||
\(843\) | 14.1373 | + | 3.11185i | 0.486914 | + | 0.107178i | ||||
\(844\) | 6.38551 | − | 7.51761i | 0.219798 | − | 0.258767i | ||||
\(845\) | 3.53136 | − | 0.384058i | 0.121482 | − | 0.0132120i | ||||
\(846\) | 0.0409506 | + | 0.147491i | 0.00140791 | + | 0.00507083i | ||||
\(847\) | −1.34463 | + | 24.8002i | −0.0462019 | + | 0.852145i | ||||
\(848\) | −11.1529 | − | 21.0366i | −0.382992 | − | 0.722400i | ||||
\(849\) | −17.0803 | − | 20.1085i | −0.586193 | − | 0.690120i | ||||
\(850\) | 7.64222 | + | 7.23909i | 0.262126 | + | 0.248299i | ||||
\(851\) | −16.4529 | + | 41.2937i | −0.563998 | + | 1.41553i | ||||
\(852\) | −3.95212 | − | 9.91906i | −0.135397 | − | 0.339821i | ||||
\(853\) | 9.25850 | − | 8.77012i | 0.317005 | − | 0.300283i | −0.512607 | − | 0.858623i | \(-0.671320\pi\) |
0.829612 | + | 0.558340i | \(0.188562\pi\) | |||||||
\(854\) | 8.90600 | + | 0.968586i | 0.304757 | + | 0.0331443i | ||||
\(855\) | −0.414255 | − | 2.52684i | −0.0141672 | − | 0.0864162i | ||||
\(856\) | −1.62008 | − | 9.88206i | −0.0553733 | − | 0.337762i | ||||
\(857\) | 36.2529 | + | 3.94274i | 1.23837 | + | 0.134681i | 0.703774 | − | 0.710424i | \(-0.251497\pi\) |
0.534600 | + | 0.845105i | \(0.320462\pi\) | |||||||
\(858\) | −1.75442 | + | 1.66187i | −0.0598949 | + | 0.0567355i | ||||
\(859\) | 3.75702 | + | 9.42941i | 0.128188 | + | 0.321727i | 0.979037 | − | 0.203683i | \(-0.0652911\pi\) |
−0.850849 | + | 0.525410i | \(0.823912\pi\) | |||||||
\(860\) | −3.49875 | + | 8.78119i | −0.119306 | + | 0.299436i | ||||
\(861\) | 15.6011 | + | 14.7781i | 0.531684 | + | 0.503638i | ||||
\(862\) | 7.92505 | + | 9.33009i | 0.269928 | + | 0.317784i | ||||
\(863\) | −3.20393 | − | 6.04325i | −0.109063 | − | 0.205714i | 0.822973 | − | 0.568081i | \(-0.192314\pi\) |
−0.932036 | + | 0.362366i | \(0.881969\pi\) | |||||||
\(864\) | −0.264297 | + | 4.87467i | −0.00899157 | + | 0.165840i | ||||
\(865\) | −0.172780 | − | 0.622297i | −0.00587469 | − | 0.0211587i | ||||
\(866\) | 9.64054 | − | 1.04847i | 0.327599 | − | 0.0356285i | ||||
\(867\) | −4.09511 | + | 4.82114i | −0.139077 | + | 0.163735i | ||||
\(868\) | 27.4615 | + | 6.04474i | 0.932105 | + | 0.205172i | ||||
\(869\) | −22.4393 | − | 17.0579i | −0.761202 | − | 0.578650i | ||||
\(870\) | −0.122715 | + | 0.0413477i | −0.00416044 | + | 0.00140182i | ||||
\(871\) | −1.27122 | − | 23.4463i | −0.0430737 | − | 0.794448i | ||||
\(872\) | −0.0813664 | + | 0.0489565i | −0.00275541 | + | 0.00165788i | ||||
\(873\) | 1.89363 | − | 2.79290i | 0.0640897 | − | 0.0945252i | ||||
\(874\) | −12.3100 | + | 9.35778i | −0.416390 | + | 0.316532i | ||||
\(875\) | −18.6021 | + | 8.60627i | −0.628867 | + | 0.290945i | ||||
\(876\) | 6.41006 | + | 3.85681i | 0.216576 | + | 0.130309i | ||||
\(877\) | 16.8123 | − | 31.7114i | 0.567712 | − | 1.07082i | −0.418946 | − | 0.908011i | \(-0.637600\pi\) |
0.986658 | − | 0.162807i | \(-0.0520547\pi\) | |||||||
\(878\) | −12.4158 | + | 2.73293i | −0.419014 | + | 0.0922320i | ||||
\(879\) | 10.7206 | + | 4.95988i | 0.361597 | + | 0.167292i | ||||
\(880\) | 1.82097 | + | 2.68573i | 0.0613850 | + | 0.0905361i | ||||
\(881\) | 41.0908 | + | 13.8451i | 1.38439 | + | 0.466454i | 0.910272 | − | 0.414010i | \(-0.135872\pi\) |
0.474113 | + | 0.880464i | \(0.342769\pi\) | |||||||
\(882\) | 0.460636 | − | 1.65906i | 0.0155104 | − | 0.0558634i | ||||
\(883\) | −2.64667 | + | 16.1439i | −0.0890674 | + | 0.543287i | 0.904169 | + | 0.427175i | \(0.140491\pi\) |
−0.993236 | + | 0.116112i | \(0.962957\pi\) | |||||||
\(884\) | −23.5963 | −0.793628 | ||||||||
\(885\) | 5.02204 | − | 0.552759i | 0.168814 | − | 0.0185808i | ||||
\(886\) | −10.0213 | −0.336672 | ||||||||
\(887\) | 6.10515 | − | 37.2398i | 0.204991 | − | 1.25039i | −0.661021 | − | 0.750367i | \(-0.729877\pi\) |
0.866012 | − | 0.500023i | \(-0.166675\pi\) | |||||||
\(888\) | −2.57180 | + | 9.26278i | −0.0863039 | + | 0.310839i | ||||
\(889\) | −47.9914 | − | 16.1702i | −1.60958 | − | 0.542331i | ||||
\(890\) | −1.50064 | − | 2.21327i | −0.0503014 | − | 0.0741891i | ||||
\(891\) | −1.66718 | − | 0.771319i | −0.0558526 | − | 0.0258402i | ||||
\(892\) | 7.64270 | − | 1.68228i | 0.255896 | − | 0.0563271i | ||||
\(893\) | 0.584896 | − | 1.10323i | 0.0195728 | − | 0.0369182i | ||||
\(894\) | −3.23468 | − | 1.94624i | −0.108184 | − | 0.0650922i | ||||
\(895\) | 3.18795 | − | 1.47490i | 0.106561 | − | 0.0493005i | ||||
\(896\) | −29.0793 | + | 22.1055i | −0.971471 | + | 0.738493i | ||||
\(897\) | −12.8772 | + | 18.9925i | −0.429958 | + | 0.634141i | ||||
\(898\) | 8.46416 | − | 5.09272i | 0.282453 | − | 0.169946i | ||||
\(899\) | 0.108801 | + | 2.00672i | 0.00362872 | + | 0.0669278i | ||||
\(900\) | −7.67087 | + | 2.58462i | −0.255696 | + | 0.0861540i | ||||
\(901\) | −34.0892 | − | 25.9139i | −1.13568 | − | 0.863318i | ||||
\(902\) | −5.64848 | − | 1.24332i | −0.188074 | − | 0.0413982i | ||||
\(903\) | 17.0975 | − | 20.1287i | 0.568968 | − | 0.669840i | ||||
\(904\) | −0.612844 | + | 0.0666508i | −0.0203829 | + | 0.00221677i | ||||
\(905\) | −0.522267 | − | 1.88104i | −0.0173607 | − | 0.0625277i | ||||
\(906\) | −0.223804 | + | 4.12782i | −0.00743538 | + | 0.137137i | ||||
\(907\) | −0.606648 | − | 1.14426i | −0.0201434 | − | 0.0379945i | 0.873236 | − | 0.487297i | \(-0.162017\pi\) |
−0.893379 | + | 0.449303i | \(0.851672\pi\) | |||||||
\(908\) | 34.1965 | + | 40.2593i | 1.13485 | + | 1.33605i | ||||
\(909\) | −3.64895 | − | 3.45646i | −0.121028 | − | 0.114644i | ||||
\(910\) | −1.04316 | + | 2.61814i | −0.0345805 | + | 0.0867906i | ||||
\(911\) | 4.20747 | + | 10.5599i | 0.139400 | + | 0.349867i | 0.982057 | − | 0.188583i | \(-0.0603895\pi\) |
−0.842658 | + | 0.538450i | \(0.819010\pi\) | |||||||
\(912\) | 7.58978 | − | 7.18943i | 0.251323 | − | 0.238066i | ||||
\(913\) | −29.2162 | − | 3.17746i | −0.966916 | − | 0.105158i | ||||
\(914\) | 0.742863 | + | 4.53126i | 0.0245717 | + | 0.149881i | ||||
\(915\) | −0.613354 | − | 3.74129i | −0.0202769 | − | 0.123683i | ||||
\(916\) | 47.8225 | + | 5.20102i | 1.58010 | + | 0.171846i | ||||
\(917\) | 3.00108 | − | 2.84277i | 0.0991043 | − | 0.0938766i | ||||
\(918\) | 0.853071 | + | 2.14105i | 0.0281555 | + | 0.0706650i | ||||
\(919\) | −4.24531 | + | 10.6549i | −0.140040 | + | 0.351474i | −0.982223 | − | 0.187718i | \(-0.939891\pi\) |
0.842183 | + | 0.539192i | \(0.181270\pi\) | |||||||
\(920\) | −7.15535 | − | 6.77790i | −0.235905 | − | 0.223461i | ||||
\(921\) | 12.9869 | + | 15.2893i | 0.427932 | + | 0.503801i | ||||
\(922\) | 2.06248 | + | 3.89025i | 0.0679242 | + | 0.128119i | ||||
\(923\) | 0.899165 | − | 16.5841i | 0.0295964 | − | 0.545873i | ||||
\(924\) | −2.83674 | − | 10.2170i | −0.0933220 | − | 0.336116i | ||||
\(925\) | −24.2477 | + | 2.63709i | −0.797258 | + | 0.0867071i | ||||
\(926\) | 8.23412 | − | 9.69395i | 0.270590 | − | 0.318563i | ||||
\(927\) | 16.6706 | + | 3.66947i | 0.547534 | + | 0.120521i | ||||
\(928\) | −1.60333 | − | 1.21882i | −0.0526319 | − | 0.0400097i | ||||
\(929\) | −22.5674 | + | 7.60383i | −0.740411 | + | 0.249473i | −0.664134 | − | 0.747613i | \(-0.731200\pi\) |
−0.0762766 | + | 0.997087i | \(0.524303\pi\) | |||||||
\(930\) | 0.0827811 | + | 1.52681i | 0.00271450 | + | 0.0500660i | ||||
\(931\) | −12.0354 | + | 7.24145i | −0.394444 | + | 0.237329i | ||||
\(932\) | −10.4599 | + | 15.4273i | −0.342627 | + | 0.505336i | ||||
\(933\) | 14.4203 | − | 10.9620i | 0.472098 | − | 0.358880i | ||||
\(934\) | 10.8270 | − | 5.00912i | 0.354272 | − | 0.163904i | ||||
\(935\) | 5.00027 | + | 3.00856i | 0.163526 | + | 0.0983905i | ||||
\(936\) | −2.32449 | + | 4.38446i | −0.0759784 | + | 0.143310i | ||||
\(937\) | 42.0985 | − | 9.26658i | 1.37530 | − | 0.302726i | 0.535001 | − | 0.844851i | \(-0.320311\pi\) |
0.840298 | + | 0.542125i | \(0.182380\pi\) | |||||||
\(938\) | −12.0150 | − | 5.55872i | −0.392303 | − | 0.181499i | ||||
\(939\) | 9.48964 | + | 13.9962i | 0.309683 | + | 0.456748i | ||||
\(940\) | 0.354352 | + | 0.119395i | 0.0115577 | + | 0.00389424i | ||||
\(941\) | −9.92540 | + | 35.7481i | −0.323559 | + | 1.16535i | 0.605629 | + | 0.795747i | \(0.292921\pi\) |
−0.929188 | + | 0.369607i | \(0.879492\pi\) | |||||||
\(942\) | 0.0350484 | − | 0.213786i | 0.00114194 | − | 0.00696552i | ||||
\(943\) | −54.9188 | −1.78840 | ||||||||
\(944\) | 13.3745 | + | 15.7044i | 0.435303 | + | 0.511136i | ||||
\(945\) | −2.14234 | −0.0696904 | ||||||||
\(946\) | −1.14996 | + | 7.01445i | −0.0373884 | + | 0.228059i | ||||
\(947\) | −4.99703 | + | 17.9977i | −0.162381 | + | 0.584845i | 0.836915 | + | 0.547333i | \(0.184357\pi\) |
−0.999296 | + | 0.0375119i | \(0.988057\pi\) | |||||||
\(948\) | −25.7707 | − | 8.68317i | −0.836995 | − | 0.282016i | ||||
\(949\) | 6.53018 | + | 9.63130i | 0.211979 | + | 0.312645i | ||||
\(950\) | −7.70052 | − | 3.56264i | −0.249838 | − | 0.115587i | ||||
\(951\) | −1.66742 | + | 0.367028i | −0.0540699 | + | 0.0119017i | ||||
\(952\) | −13.2638 | + | 25.0182i | −0.429883 | + | 0.810846i | ||||
\(953\) | 3.39497 | + | 2.04268i | 0.109974 | + | 0.0661690i | 0.569478 | − | 0.822007i | \(-0.307145\pi\) |
−0.459504 | + | 0.888176i | \(0.651973\pi\) | |||||||
\(954\) | −3.83993 | + | 1.77654i | −0.124322 | + | 0.0575177i | ||||
\(955\) | 13.7084 | − | 10.4208i | 0.443592 | − | 0.337210i | ||||
\(956\) | 22.2832 | − | 32.8652i | 0.720689 | − | 1.06294i | ||||
\(957\) | 0.649358 | − | 0.390706i | 0.0209908 | − | 0.0126297i | ||||
\(958\) | 0.423190 | + | 7.80527i | 0.0136726 | + | 0.252177i | ||||
\(959\) | 53.5079 | − | 18.0289i | 1.72786 | − | 0.582183i | ||||
\(960\) | 1.59259 | + | 1.21066i | 0.0514008 | + | 0.0390739i | ||||
\(961\) | −7.10014 | − | 1.56286i | −0.229037 | − | 0.0504148i | ||||
\(962\) | −4.54802 | + | 5.35435i | −0.146634 | + | 0.172631i | ||||
\(963\) | 5.53026 | − | 0.601452i | 0.178210 | − | 0.0193815i | ||||
\(964\) | 14.2956 | + | 51.4882i | 0.460431 | + | 1.65832i | ||||
\(965\) | 0.0355643 | − | 0.655945i | 0.00114485 | − | 0.0211156i | ||||
\(966\) | 6.05994 | + | 11.4303i | 0.194975 | + | 0.367763i | ||||
\(967\) | −24.1056 | − | 28.3793i | −0.775183 | − | 0.912616i | 0.222879 | − | 0.974846i | \(-0.428455\pi\) |
−0.998062 | + | 0.0622301i | \(0.980179\pi\) | |||||||
\(968\) | −9.96586 | − | 9.44017i | −0.320315 | − | 0.303418i | ||||
\(969\) | 6.95903 | − | 17.4658i | 0.223556 | − | 0.561084i | ||||
\(970\) | 0.392035 | + | 0.983934i | 0.0125875 | + | 0.0315922i | ||||
\(971\) | 27.5450 | − | 26.0920i | 0.883961 | − | 0.837332i | −0.103592 | − | 0.994620i | \(-0.533034\pi\) |
0.987553 | + | 0.157288i | \(0.0502751\pi\) | |||||||
\(972\) | −1.76189 | − | 0.191617i | −0.0565125 | − | 0.00614611i | ||||
\(973\) | 0.0438295 | + | 0.267348i | 0.00140511 | + | 0.00857080i | ||||
\(974\) | −1.93347 | − | 11.7937i | −0.0619524 | − | 0.377893i | ||||
\(975\) | −12.5172 | − | 1.36132i | −0.400870 | − | 0.0435973i | ||||
\(976\) | 11.2376 | − | 10.6448i | 0.359706 | − | 0.340732i | ||||
\(977\) | −13.0423 | − | 32.7337i | −0.417261 | − | 1.04725i | −0.975975 | − | 0.217885i | \(-0.930084\pi\) |
0.558714 | − | 0.829360i | \(-0.311295\pi\) | |||||||
\(978\) | −1.98419 | + | 4.97994i | −0.0634474 | + | 0.159241i | ||||
\(979\) | 11.3613 | + | 10.7620i | 0.363108 | + | 0.343955i | ||||
\(980\) | −2.72299 | − | 3.20576i | −0.0869829 | − | 0.102404i | ||||
\(981\) | −0.0247089 | − | 0.0466059i | −0.000788894 | − | 0.00148801i | ||||
\(982\) | −0.598192 | + | 11.0330i | −0.0190891 | + | 0.352077i | ||||
\(983\) | 4.37855 | + | 15.7701i | 0.139654 | + | 0.502989i | 0.999977 | − | 0.00676050i | \(-0.00215195\pi\) |
−0.860323 | + | 0.509749i | \(0.829738\pi\) | |||||||
\(984\) | −11.8075 | + | 1.28414i | −0.376408 | + | 0.0409368i | ||||
\(985\) | −8.88981 | + | 10.4659i | −0.283253 | + | 0.333471i | ||||
\(986\) | −0.928589 | − | 0.204398i | −0.0295723 | − | 0.00650935i | ||||
\(987\) | −0.831704 | − | 0.632245i | −0.0264734 | − | 0.0201246i | ||||
\(988\) | 18.0237 | − | 6.07290i | 0.573411 | − | 0.193205i | ||||
\(989\) | 3.65407 | + | 67.3954i | 0.116193 | + | 2.14305i | ||||
\(990\) | 0.494062 | − | 0.297267i | 0.0157023 | − | 0.00944778i | ||||
\(991\) | 23.4619 | − | 34.6037i | 0.745292 | − | 1.09922i | −0.246221 | − | 0.969214i | \(-0.579189\pi\) |
0.991513 | − | 0.130009i | \(-0.0415007\pi\) | |||||||
\(992\) | −18.9319 | + | 14.3917i | −0.601089 | + | 0.456936i | ||||
\(993\) | −6.99625 | + | 3.23681i | −0.222019 | + | 0.102717i | ||||
\(994\) | −8.02356 | − | 4.82762i | −0.254492 | − | 0.153123i | ||||
\(995\) | 5.21036 | − | 9.82779i | 0.165180 | − | 0.311562i | ||||
\(996\) | −27.6908 | + | 6.09520i | −0.877416 | + | 0.193134i | ||||
\(997\) | 6.92995 | + | 3.20614i | 0.219474 | + | 0.101539i | 0.526545 | − | 0.850147i | \(-0.323487\pi\) |
−0.307072 | + | 0.951686i | \(0.599349\pi\) | |||||||
\(998\) | 4.33000 | + | 6.38627i | 0.137064 | + | 0.202154i | ||||
\(999\) | −5.06068 | − | 1.70514i | −0.160113 | − | 0.0539482i |
(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 | 177.2.e.b.169.2 | yes | 140 | |
3.2 | odd | 2 | 531.2.i.b.523.4 | 140 | |||
59.22 | even | 29 | inner | 177.2.e.b.22.2 | ✓ | 140 | |
177.140 | odd | 58 | 531.2.i.b.199.4 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.22.2 | ✓ | 140 | 59.22 | even | 29 | inner | |
177.2.e.b.169.2 | yes | 140 | 1.1 | even | 1 | trivial | |
531.2.i.b.199.4 | 140 | 177.140 | odd | 58 | |||
531.2.i.b.523.4 | 140 | 3.2 | odd | 2 |