Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 108.11 |
Dual form | 108.2.l.a.59.4 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06666 | − | 0.928568i | −0.754242 | − | 0.656596i | ||||
\(3\) | 0.745195 | − | 1.56355i | 0.430239 | − | 0.902715i | ||||
\(4\) | 0.275524 | + | 1.98093i | 0.137762 | + | 0.990465i | ||||
\(5\) | 0.605021 | − | 1.66228i | 0.270574 | − | 0.743395i | −0.727768 | − | 0.685824i | \(-0.759442\pi\) |
0.998341 | − | 0.0575715i | \(-0.0183357\pi\) | |||||||
\(6\) | −2.24673 | + | 0.975810i | −0.917224 | + | 0.398373i | ||||
\(7\) | 0.748045 | + | 0.131901i | 0.282734 | + | 0.0498537i | 0.313217 | − | 0.949682i | \(-0.398593\pi\) |
−0.0304825 | + | 0.999535i | \(0.509704\pi\) | |||||||
\(8\) | 1.54554 | − | 2.36882i | 0.546430 | − | 0.837505i | ||||
\(9\) | −1.88937 | − | 2.33030i | −0.629790 | − | 0.776766i | ||||
\(10\) | −2.18889 | + | 1.21129i | −0.692189 | + | 0.383042i | ||||
\(11\) | −3.01780 | + | 1.09839i | −0.909901 | + | 0.331177i | −0.754213 | − | 0.656629i | \(-0.771982\pi\) |
−0.155688 | + | 0.987806i | \(0.549759\pi\) | |||||||
\(12\) | 3.30260 | + | 1.04538i | 0.953379 | + | 0.301776i | ||||
\(13\) | −1.07167 | + | 0.899234i | −0.297227 | + | 0.249403i | −0.779189 | − | 0.626789i | \(-0.784369\pi\) |
0.481962 | + | 0.876192i | \(0.339924\pi\) | |||||||
\(14\) | −0.675431 | − | 0.835303i | −0.180516 | − | 0.223244i | ||||
\(15\) | −2.14820 | − | 2.18471i | −0.554663 | − | 0.564088i | ||||
\(16\) | −3.84817 | + | 1.09159i | −0.962043 | + | 0.272897i | ||||
\(17\) | 5.55887 | − | 3.20941i | 1.34822 | − | 0.778397i | 0.360225 | − | 0.932865i | \(-0.382700\pi\) |
0.987998 | + | 0.154469i | \(0.0493665\pi\) | |||||||
\(18\) | −0.148526 | + | 4.24004i | −0.0350080 | + | 0.999387i | ||||
\(19\) | 2.51793 | + | 1.45373i | 0.577653 | + | 0.333508i | 0.760200 | − | 0.649689i | \(-0.225101\pi\) |
−0.182547 | + | 0.983197i | \(0.558434\pi\) | |||||||
\(20\) | 3.45956 | + | 0.740506i | 0.773582 | + | 0.165582i | ||||
\(21\) | 0.763672 | − | 1.07131i | 0.166647 | − | 0.233780i | ||||
\(22\) | 4.23889 | + | 1.63062i | 0.903735 | + | 0.347650i | ||||
\(23\) | 1.06877 | + | 6.06131i | 0.222854 | + | 1.26387i | 0.866744 | + | 0.498752i | \(0.166208\pi\) |
−0.643890 | + | 0.765118i | \(0.722681\pi\) | |||||||
\(24\) | −2.55204 | − | 4.18176i | −0.520933 | − | 0.853598i | ||||
\(25\) | 1.43309 | + | 1.20251i | 0.286618 | + | 0.240501i | ||||
\(26\) | 1.97810 | + | 0.0359374i | 0.387938 | + | 0.00704791i | ||||
\(27\) | −5.05148 | + | 1.21759i | −0.972158 | + | 0.234326i | ||||
\(28\) | −0.0551813 | + | 1.51817i | −0.0104283 | + | 0.286907i | ||||
\(29\) | −4.87432 | + | 5.80899i | −0.905138 | + | 1.07870i | 0.0914207 | + | 0.995812i | \(0.470859\pi\) |
−0.996559 | + | 0.0828892i | \(0.973585\pi\) | |||||||
\(30\) | 0.262752 | + | 4.32509i | 0.0479717 | + | 0.789649i | ||||
\(31\) | 9.30557 | − | 1.64082i | 1.67133 | − | 0.294701i | 0.743787 | − | 0.668417i | \(-0.233028\pi\) |
0.927543 | + | 0.373716i | \(0.121916\pi\) | |||||||
\(32\) | 5.11830 | + | 2.40894i | 0.904797 | + | 0.425844i | ||||
\(33\) | −0.531465 | + | 5.53699i | −0.0925161 | + | 0.963867i | ||||
\(34\) | −8.90957 | − | 1.73843i | −1.52798 | − | 0.298139i | ||||
\(35\) | 0.671839 | − | 1.16366i | 0.113562 | − | 0.196694i | ||||
\(36\) | 4.09559 | − | 4.38476i | 0.682599 | − | 0.730794i | ||||
\(37\) | 1.62042 | + | 2.80666i | 0.266396 | + | 0.461411i | 0.967928 | − | 0.251226i | \(-0.0808338\pi\) |
−0.701532 | + | 0.712638i | \(0.747500\pi\) | |||||||
\(38\) | −1.33589 | − | 3.88870i | −0.216710 | − | 0.630831i | ||||
\(39\) | 0.607396 | + | 2.34571i | 0.0972613 | + | 0.375614i | ||||
\(40\) | −3.00257 | − | 4.00231i | −0.474747 | − | 0.632820i | ||||
\(41\) | −4.14810 | − | 4.94351i | −0.647824 | − | 0.772047i | 0.337760 | − | 0.941232i | \(-0.390331\pi\) |
−0.985584 | + | 0.169185i | \(0.945886\pi\) | |||||||
\(42\) | −1.80937 | + | 0.433605i | −0.279191 | + | 0.0669067i | ||||
\(43\) | −2.50294 | − | 6.87676i | −0.381694 | − | 1.04870i | −0.970643 | − | 0.240526i | \(-0.922680\pi\) |
0.588949 | − | 0.808171i | \(-0.299542\pi\) | |||||||
\(44\) | −3.00731 | − | 5.67542i | −0.453369 | − | 0.855602i | ||||
\(45\) | −5.01672 | + | 1.73078i | −0.747849 | + | 0.258010i | ||||
\(46\) | 4.48832 | − | 7.45778i | 0.661767 | − | 1.09959i | ||||
\(47\) | −0.737485 | + | 4.18249i | −0.107573 | + | 0.610079i | 0.882588 | + | 0.470147i | \(0.155799\pi\) |
−0.990161 | + | 0.139931i | \(0.955312\pi\) | |||||||
\(48\) | −1.16089 | + | 6.83025i | −0.167560 | + | 0.985862i | ||||
\(49\) | −6.03567 | − | 2.19681i | −0.862239 | − | 0.313829i | ||||
\(50\) | −0.412011 | − | 2.61338i | −0.0582672 | − | 0.369588i | ||||
\(51\) | −0.875633 | − | 11.0832i | −0.122613 | − | 1.55196i | ||||
\(52\) | −2.07659 | − | 1.87513i | −0.287971 | − | 0.260034i | ||||
\(53\) | 9.63986i | 1.32414i | 0.749444 | + | 0.662068i | \(0.230321\pi\) | ||||
−0.749444 | + | 0.662068i | \(0.769679\pi\) | |||||||
\(54\) | 6.51883 | + | 3.39189i | 0.887100 | + | 0.461577i | ||||
\(55\) | 5.68099i | 0.766024i | ||||||||
\(56\) | 1.46858 | − | 1.56813i | 0.196247 | − | 0.209550i | ||||
\(57\) | 4.14932 | − | 2.85360i | 0.549592 | − | 0.377968i | ||||
\(58\) | 10.5933 | − | 1.67008i | 1.39096 | − | 0.219292i | ||||
\(59\) | −0.397395 | − | 0.144640i | −0.0517364 | − | 0.0188305i | 0.316022 | − | 0.948752i | \(-0.397653\pi\) |
−0.367759 | + | 0.929921i | \(0.619875\pi\) | |||||||
\(60\) | 3.73587 | − | 4.85738i | 0.482299 | − | 0.627085i | ||||
\(61\) | 1.38430 | − | 7.85077i | 0.177242 | − | 1.00519i | −0.758283 | − | 0.651926i | \(-0.773961\pi\) |
0.935524 | − | 0.353262i | \(-0.114928\pi\) | |||||||
\(62\) | −11.4495 | − | 6.89065i | −1.45409 | − | 0.875114i | ||||
\(63\) | −1.10597 | − | 1.99238i | −0.139339 | − | 0.251016i | ||||
\(64\) | −3.22263 | − | 7.32220i | −0.402828 | − | 0.915276i | ||||
\(65\) | 0.846401 | + | 2.32547i | 0.104983 | + | 0.288439i | ||||
\(66\) | 5.70836 | − | 5.41258i | 0.702651 | − | 0.666243i | ||||
\(67\) | −3.65540 | − | 4.35634i | −0.446579 | − | 0.532212i | 0.495050 | − | 0.868864i | \(-0.335150\pi\) |
−0.941629 | + | 0.336653i | \(0.890705\pi\) | |||||||
\(68\) | 7.88923 | + | 10.1275i | 0.956709 | + | 1.22813i | ||||
\(69\) | 10.2736 | + | 2.84578i | 1.23680 | + | 0.342592i | ||||
\(70\) | −1.79716 | + | 0.617380i | −0.214802 | + | 0.0737911i | ||||
\(71\) | −1.88825 | − | 3.27054i | −0.224094 | − | 0.388142i | 0.731953 | − | 0.681355i | \(-0.238609\pi\) |
−0.956047 | + | 0.293213i | \(0.905276\pi\) | |||||||
\(72\) | −8.44015 | + | 0.874013i | −0.994681 | + | 0.103003i | ||||
\(73\) | −5.59853 | + | 9.69694i | −0.655258 | + | 1.13494i | 0.326571 | + | 0.945173i | \(0.394107\pi\) |
−0.981829 | + | 0.189768i | \(0.939226\pi\) | |||||||
\(74\) | 0.877730 | − | 4.49842i | 0.102034 | − | 0.522931i | ||||
\(75\) | 2.94811 | − | 1.34460i | 0.340418 | − | 0.155262i | ||||
\(76\) | −2.18598 | + | 5.38838i | −0.250750 | + | 0.618090i | ||||
\(77\) | −2.40233 | + | 0.423595i | −0.273771 | + | 0.0482732i | ||||
\(78\) | 1.53026 | − | 3.06608i | 0.173268 | − | 0.347165i | ||||
\(79\) | −6.53113 | + | 7.78350i | −0.734810 | + | 0.875712i | −0.995980 | − | 0.0895809i | \(-0.971447\pi\) |
0.261170 | + | 0.965293i | \(0.415892\pi\) | |||||||
\(80\) | −0.513698 | + | 7.05719i | −0.0574331 | + | 0.789017i | ||||
\(81\) | −1.86057 | + | 8.80558i | −0.206730 | + | 0.978398i | ||||
\(82\) | −0.165777 | + | 9.12484i | −0.0183070 | + | 1.00767i | ||||
\(83\) | −3.80396 | − | 3.19190i | −0.417538 | − | 0.350356i | 0.409687 | − | 0.912226i | \(-0.365638\pi\) |
−0.827226 | + | 0.561870i | \(0.810082\pi\) | |||||||
\(84\) | 2.33261 | + | 1.21761i | 0.254508 | + | 0.132852i | ||||
\(85\) | −1.97172 | − | 11.1822i | −0.213863 | − | 1.21288i | ||||
\(86\) | −3.71576 | + | 9.65931i | −0.400680 | + | 1.04159i | ||||
\(87\) | 5.45031 | + | 11.9501i | 0.584335 | + | 1.28118i | ||||
\(88\) | −2.06224 | + | 8.84623i | −0.219835 | + | 0.943012i | ||||
\(89\) | −0.509288 | − | 0.294037i | −0.0539844 | − | 0.0311679i | 0.472765 | − | 0.881189i | \(-0.343256\pi\) |
−0.526749 | + | 0.850021i | \(0.676589\pi\) | |||||||
\(90\) | 6.95828 | + | 2.81221i | 0.733467 | + | 0.296433i | ||||
\(91\) | −0.920264 | + | 0.531314i | −0.0964698 | + | 0.0556969i | ||||
\(92\) | −11.7126 | + | 3.78720i | −1.22112 | + | 0.394843i | ||||
\(93\) | 4.36896 | − | 15.7725i | 0.453040 | − | 1.63553i | ||||
\(94\) | 4.67037 | − | 3.77648i | 0.481712 | − | 0.389515i | ||||
\(95\) | 3.93991 | − | 3.30598i | 0.404226 | − | 0.339186i | ||||
\(96\) | 7.58062 | − | 6.20759i | 0.773694 | − | 0.633559i | ||||
\(97\) | 15.8811 | − | 5.78024i | 1.61248 | − | 0.586895i | 0.630552 | − | 0.776147i | \(-0.282829\pi\) |
0.981928 | + | 0.189252i | \(0.0606065\pi\) | |||||||
\(98\) | 4.39813 | + | 7.94778i | 0.444278 | + | 0.802847i | ||||
\(99\) | 8.26131 | + | 4.95711i | 0.830293 | + | 0.498208i | ||||
\(100\) | −1.98723 | + | 3.17017i | −0.198723 | + | 0.317017i | ||||
\(101\) | −5.39858 | − | 0.951915i | −0.537178 | − | 0.0947191i | −0.101524 | − | 0.994833i | \(-0.532372\pi\) |
−0.435654 | + | 0.900114i | \(0.643483\pi\) | |||||||
\(102\) | −9.35749 | + | 12.6351i | −0.926530 | + | 1.25106i | ||||
\(103\) | −2.06594 | + | 5.67611i | −0.203563 | + | 0.559284i | −0.998900 | − | 0.0468827i | \(-0.985071\pi\) |
0.795338 | + | 0.606167i | \(0.207294\pi\) | |||||||
\(104\) | 0.473825 | + | 3.92838i | 0.0464624 | + | 0.385210i | ||||
\(105\) | −1.31879 | − | 1.91761i | −0.128700 | − | 0.187139i | ||||
\(106\) | 8.95126 | − | 10.2824i | 0.869423 | − | 0.998719i | ||||
\(107\) | 4.28762 | 0.414500 | 0.207250 | − | 0.978288i | \(-0.433549\pi\) | ||||
0.207250 | + | 0.978288i | \(0.433549\pi\) | |||||||
\(108\) | −3.80377 | − | 9.67116i | −0.366018 | − | 0.930608i | ||||
\(109\) | −4.75148 | −0.455109 | −0.227554 | − | 0.973765i | \(-0.573073\pi\) | ||||
−0.227554 | + | 0.973765i | \(0.573073\pi\) | |||||||
\(110\) | 5.27518 | − | 6.05968i | 0.502969 | − | 0.577768i | ||||
\(111\) | 5.59587 | − | 0.442105i | 0.531137 | − | 0.0419627i | ||||
\(112\) | −3.02259 | + | 0.308982i | −0.285608 | + | 0.0291960i | ||||
\(113\) | 3.11256 | − | 8.55169i | 0.292805 | − | 0.804475i | −0.702848 | − | 0.711340i | \(-0.748089\pi\) |
0.995653 | − | 0.0931357i | \(-0.0296890\pi\) | |||||||
\(114\) | −7.07567 | − | 0.809113i | −0.662698 | − | 0.0757804i | ||||
\(115\) | 10.7222 | + | 1.89062i | 0.999854 | + | 0.176301i | ||||
\(116\) | −12.8502 | − | 8.05517i | −1.19311 | − | 0.747904i | ||||
\(117\) | 4.12025 | + | 0.798315i | 0.380918 | + | 0.0738042i | ||||
\(118\) | 0.289577 | + | 0.523290i | 0.0266577 | + | 0.0481727i | ||||
\(119\) | 4.58161 | − | 1.66757i | 0.419995 | − | 0.152866i | ||||
\(120\) | −8.49530 | + | 1.71216i | −0.775511 | + | 0.156298i | ||||
\(121\) | −0.525827 | + | 0.441221i | −0.0478025 | + | 0.0401110i | ||||
\(122\) | −8.76655 | + | 7.08868i | −0.793686 | + | 0.641779i | ||||
\(123\) | −10.8206 | + | 2.80187i | −0.975658 | + | 0.252636i | ||||
\(124\) | 5.81427 | + | 17.9816i | 0.522137 | + | 1.61480i | ||||
\(125\) | 10.5258 | − | 6.07707i | 0.941456 | − | 0.543550i | ||||
\(126\) | −0.670368 | + | 3.15215i | −0.0597211 | + | 0.280816i | ||||
\(127\) | −7.58333 | − | 4.37824i | −0.672911 | − | 0.388506i | 0.124267 | − | 0.992249i | \(-0.460342\pi\) |
−0.797179 | + | 0.603743i | \(0.793675\pi\) | |||||||
\(128\) | −3.36172 | + | 10.8027i | −0.297137 | + | 0.954835i | ||||
\(129\) | −12.6173 | − | 1.21107i | −1.11089 | − | 0.106628i | ||||
\(130\) | 1.25653 | − | 3.26642i | 0.110205 | − | 0.286484i | ||||
\(131\) | −1.28295 | − | 7.27595i | −0.112092 | − | 0.635703i | −0.988149 | − | 0.153496i | \(-0.950947\pi\) |
0.876058 | − | 0.482206i | \(-0.160164\pi\) | |||||||
\(132\) | −11.1148 | + | 0.472781i | −0.967422 | + | 0.0411503i | ||||
\(133\) | 1.69178 | + | 1.41957i | 0.146696 | + | 0.123092i | ||||
\(134\) | −0.146086 | + | 8.04102i | −0.0126199 | + | 0.694639i | ||||
\(135\) | −1.03227 | + | 9.13366i | −0.0888437 | + | 0.786100i | ||||
\(136\) | 0.988912 | − | 18.1282i | 0.0847985 | − | 1.55448i | ||||
\(137\) | 3.47834 | − | 4.14532i | 0.297174 | − | 0.354158i | −0.596709 | − | 0.802457i | \(-0.703526\pi\) |
0.893884 | + | 0.448299i | \(0.147970\pi\) | |||||||
\(138\) | −8.31593 | − | 12.5752i | −0.707899 | − | 1.07047i | ||||
\(139\) | −14.3790 | + | 2.53541i | −1.21961 | + | 0.215050i | −0.746158 | − | 0.665769i | \(-0.768104\pi\) |
−0.473453 | + | 0.880819i | \(0.656993\pi\) | |||||||
\(140\) | 2.49024 | + | 1.01025i | 0.210463 | + | 0.0853818i | ||||
\(141\) | 5.98995 | + | 4.26986i | 0.504445 | + | 0.359587i | ||||
\(142\) | −1.02280 | + | 5.24192i | −0.0858316 | + | 0.439892i | ||||
\(143\) | 2.24636 | − | 3.89082i | 0.187850 | − | 0.325366i | ||||
\(144\) | 9.81434 | + | 6.90497i | 0.817862 | + | 0.575414i | ||||
\(145\) | 6.70711 | + | 11.6171i | 0.556995 | + | 0.964744i | ||||
\(146\) | 14.9760 | − | 5.14471i | 1.23942 | − | 0.425780i | ||||
\(147\) | −7.93257 | + | 7.80002i | −0.654267 | + | 0.643335i | ||||
\(148\) | −5.11333 | + | 3.98325i | −0.420313 | + | 0.327421i | ||||
\(149\) | −0.667920 | − | 0.795997i | −0.0547182 | − | 0.0652106i | 0.737991 | − | 0.674810i | \(-0.235775\pi\) |
−0.792709 | + | 0.609600i | \(0.791330\pi\) | |||||||
\(150\) | −4.39318 | − | 1.30328i | −0.358702 | − | 0.106412i | ||||
\(151\) | −5.18707 | − | 14.2513i | −0.422117 | − | 1.15976i | −0.950493 | − | 0.310747i | \(-0.899421\pi\) |
0.528375 | − | 0.849011i | \(-0.322801\pi\) | |||||||
\(152\) | 7.33518 | − | 3.71774i | 0.594962 | − | 0.301548i | ||||
\(153\) | −17.9816 | − | 6.89005i | −1.45373 | − | 0.557027i | ||||
\(154\) | 2.95580 | + | 1.77889i | 0.238185 | + | 0.143347i | ||||
\(155\) | 2.90256 | − | 16.4612i | 0.233139 | − | 1.32220i | ||||
\(156\) | −4.47933 | + | 1.84951i | −0.358633 | + | 0.148079i | ||||
\(157\) | −7.35933 | − | 2.67858i | −0.587338 | − | 0.213774i | 0.0312200 | − | 0.999513i | \(-0.490061\pi\) |
−0.618558 | + | 0.785739i | \(0.712283\pi\) | |||||||
\(158\) | 14.1940 | − | 2.23774i | 1.12921 | − | 0.178025i | ||||
\(159\) | 15.0724 | + | 7.18358i | 1.19532 | + | 0.569695i | ||||
\(160\) | 7.10101 | − | 7.05061i | 0.561384 | − | 0.557400i | ||||
\(161\) | 4.67510i | 0.368450i | ||||||||
\(162\) | 10.1612 | − | 7.66489i | 0.798337 | − | 0.602210i | ||||
\(163\) | − | 14.8714i | − | 1.16482i | −0.812897 | − | 0.582408i | \(-0.802111\pi\) | ||
0.812897 | − | 0.582408i | \(-0.197889\pi\) | |||||||
\(164\) | 8.64985 | − | 9.57916i | 0.675440 | − | 0.748006i | ||||
\(165\) | 8.88250 | + | 4.23344i | 0.691502 | + | 0.329573i | ||||
\(166\) | 1.09363 | + | 6.93690i | 0.0848823 | + | 0.538408i | ||||
\(167\) | −0.956267 | − | 0.348053i | −0.0739981 | − | 0.0269331i | 0.304756 | − | 0.952431i | \(-0.401425\pi\) |
−0.378754 | + | 0.925497i | \(0.623647\pi\) | |||||||
\(168\) | −1.35746 | − | 3.46476i | −0.104731 | − | 0.267312i | ||||
\(169\) | −1.91758 | + | 10.8751i | −0.147506 | + | 0.836550i | ||||
\(170\) | −8.28025 | + | 13.7584i | −0.635066 | + | 1.05522i | ||||
\(171\) | −1.36968 | − | 8.61416i | −0.104742 | − | 0.658741i | ||||
\(172\) | 12.9328 | − | 6.85286i | 0.986114 | − | 0.522526i | ||||
\(173\) | 2.67234 | + | 7.34218i | 0.203174 | + | 0.558216i | 0.998872 | − | 0.0474772i | \(-0.0151181\pi\) |
−0.795698 | + | 0.605693i | \(0.792896\pi\) | |||||||
\(174\) | 5.28281 | − | 17.8076i | 0.400489 | − | 1.34999i | ||||
\(175\) | 0.913405 | + | 1.08855i | 0.0690469 | + | 0.0822869i | ||||
\(176\) | 10.4140 | − | 7.52099i | 0.784987 | − | 0.566916i | ||||
\(177\) | −0.522289 | + | 0.513562i | −0.0392576 | + | 0.0386016i | ||||
\(178\) | 0.270203 | + | 0.786546i | 0.0202526 | + | 0.0589541i | ||||
\(179\) | 3.90388 | + | 6.76172i | 0.291790 | + | 0.505395i | 0.974233 | − | 0.225544i | \(-0.0724159\pi\) |
−0.682443 | + | 0.730939i | \(0.739083\pi\) | |||||||
\(180\) | −4.81079 | − | 9.46090i | −0.358575 | − | 0.705174i | ||||
\(181\) | 1.45395 | − | 2.51831i | 0.108071 | − | 0.187184i | −0.806918 | − | 0.590664i | \(-0.798866\pi\) |
0.914989 | + | 0.403479i | \(0.132199\pi\) | |||||||
\(182\) | 1.47497 | + | 0.287796i | 0.109332 | + | 0.0213328i | ||||
\(183\) | −11.2435 | − | 8.01478i | −0.831142 | − | 0.592470i | ||||
\(184\) | 16.0100 | + | 6.83625i | 1.18027 | + | 0.503975i | ||||
\(185\) | 5.64585 | − | 0.995515i | 0.415091 | − | 0.0731917i | ||||
\(186\) | −19.3060 | + | 12.7670i | −1.41558 | + | 0.936119i | ||||
\(187\) | −13.2504 | + | 15.7912i | −0.968963 | + | 1.15476i | ||||
\(188\) | −8.48841 | − | 0.308531i | −0.619081 | − | 0.0225019i | ||||
\(189\) | −3.93934 | + | 0.244522i | −0.286545 | + | 0.0177863i | ||||
\(190\) | −7.27236 | − | 0.132122i | −0.527593 | − | 0.00958512i | ||||
\(191\) | 12.1323 | + | 10.1802i | 0.877859 | + | 0.736611i | 0.965738 | − | 0.259520i | \(-0.0835643\pi\) |
−0.0878785 | + | 0.996131i | \(0.528009\pi\) | |||||||
\(192\) | −13.8501 | − | 0.417737i | −0.999545 | − | 0.0301476i | ||||
\(193\) | 2.21465 | + | 12.5599i | 0.159414 | + | 0.904083i | 0.954638 | + | 0.297767i | \(0.0962420\pi\) |
−0.795224 | + | 0.606315i | \(0.792647\pi\) | |||||||
\(194\) | −22.3071 | − | 8.58111i | −1.60155 | − | 0.616088i | ||||
\(195\) | 4.26671 | + | 0.409538i | 0.305546 | + | 0.0293276i | ||||
\(196\) | 2.68875 | − | 12.5615i | 0.192053 | − | 0.897252i | ||||
\(197\) | −6.84336 | − | 3.95102i | −0.487570 | − | 0.281498i | 0.235996 | − | 0.971754i | \(-0.424165\pi\) |
−0.723566 | + | 0.690256i | \(0.757498\pi\) | |||||||
\(198\) | −4.20899 | − | 12.9587i | −0.299120 | − | 0.920937i | ||||
\(199\) | −3.36883 | + | 1.94499i | −0.238810 | + | 0.137877i | −0.614630 | − | 0.788816i | \(-0.710694\pi\) |
0.375820 | + | 0.926693i | \(0.377361\pi\) | |||||||
\(200\) | 5.06341 | − | 1.53622i | 0.358037 | − | 0.108627i | ||||
\(201\) | −9.53534 | + | 2.46908i | −0.672571 | + | 0.174155i | ||||
\(202\) | 4.87452 | + | 6.02831i | 0.342970 | + | 0.424151i | ||||
\(203\) | −4.41242 | + | 3.70246i | −0.309691 | + | 0.259862i | ||||
\(204\) | 21.7138 | − | 4.78826i | 1.52027 | − | 0.335245i | ||||
\(205\) | −10.7272 | + | 3.90438i | −0.749220 | + | 0.272694i | ||||
\(206\) | 7.47430 | − | 4.13612i | 0.520759 | − | 0.288177i | ||||
\(207\) | 12.1054 | − | 13.9426i | 0.841380 | − | 0.969078i | ||||
\(208\) | 3.14236 | − | 4.63023i | 0.217883 | − | 0.321048i | ||||
\(209\) | −9.19538 | − | 1.62139i | −0.636057 | − | 0.112154i | ||||
\(210\) | −0.373931 | + | 3.27002i | −0.0258037 | + | 0.225653i | ||||
\(211\) | −1.32215 | + | 3.63257i | −0.0910203 | + | 0.250076i | −0.976847 | − | 0.213941i | \(-0.931370\pi\) |
0.885826 | + | 0.464017i | \(0.153592\pi\) | |||||||
\(212\) | −19.0959 | + | 2.65602i | −1.31151 | + | 0.182416i | ||||
\(213\) | −6.52076 | + | 0.515176i | −0.446795 | + | 0.0352993i | ||||
\(214\) | −4.57343 | − | 3.98134i | −0.312633 | − | 0.272159i | ||||
\(215\) | −12.9455 | −0.882872 | ||||||||
\(216\) | −4.92299 | + | 13.8479i | −0.334967 | + | 0.942230i | ||||
\(217\) | 7.17741 | 0.487235 | ||||||||
\(218\) | 5.06821 | + | 4.41207i | 0.343262 | + | 0.298823i | ||||
\(219\) | 10.9896 | + | 15.9797i | 0.742611 | + | 1.07981i | ||||
\(220\) | −11.2536 | + | 1.56525i | −0.758720 | + | 0.105529i | ||||
\(221\) | −3.07123 | + | 8.43814i | −0.206593 | + | 0.567611i | ||||
\(222\) | −6.37942 | − | 4.72457i | −0.428158 | − | 0.317093i | ||||
\(223\) | 23.0164 | + | 4.05841i | 1.54129 | + | 0.271771i | 0.878760 | − | 0.477264i | \(-0.158371\pi\) |
0.662531 | + | 0.749035i | \(0.269482\pi\) | |||||||
\(224\) | 3.51098 | + | 2.47710i | 0.234587 | + | 0.165508i | ||||
\(225\) | 0.0945599 | − | 5.61150i | 0.00630400 | − | 0.374100i | ||||
\(226\) | −11.2609 | + | 6.23152i | −0.749062 | + | 0.414514i | ||||
\(227\) | 9.97504 | − | 3.63062i | 0.662067 | − | 0.240973i | 0.0109383 | − | 0.999940i | \(-0.496518\pi\) |
0.651128 | + | 0.758968i | \(0.274296\pi\) | |||||||
\(228\) | 6.79602 | + | 7.43329i | 0.450077 | + | 0.492282i | ||||
\(229\) | −5.32931 | + | 4.47182i | −0.352171 | + | 0.295506i | −0.801661 | − | 0.597779i | \(-0.796050\pi\) |
0.449490 | + | 0.893285i | \(0.351606\pi\) | |||||||
\(230\) | −9.68141 | − | 11.9730i | −0.638373 | − | 0.789474i | ||||
\(231\) | −1.12789 | + | 4.07182i | −0.0742098 | + | 0.267906i | ||||
\(232\) | 6.22701 | + | 20.5244i | 0.408823 | + | 1.34749i | ||||
\(233\) | 13.9988 | − | 8.08221i | 0.917091 | − | 0.529483i | 0.0343854 | − | 0.999409i | \(-0.489053\pi\) |
0.882706 | + | 0.469926i | \(0.155719\pi\) | |||||||
\(234\) | −3.65362 | − | 4.67746i | −0.238844 | − | 0.305775i | ||||
\(235\) | 6.50628 | + | 3.75640i | 0.424423 | + | 0.245041i | ||||
\(236\) | 0.177030 | − | 0.827064i | 0.0115237 | − | 0.0538373i | ||||
\(237\) | 7.30291 | + | 16.0120i | 0.474375 | + | 1.04009i | ||||
\(238\) | −6.43546 | − | 2.47560i | −0.417149 | − | 0.160470i | ||||
\(239\) | −3.92960 | − | 22.2858i | −0.254184 | − | 1.44155i | −0.798157 | − | 0.602449i | \(-0.794192\pi\) |
0.543973 | − | 0.839103i | \(-0.316919\pi\) | |||||||
\(240\) | 10.6514 | + | 6.06217i | 0.687548 | + | 0.391311i | ||||
\(241\) | −0.165024 | − | 0.138471i | −0.0106301 | − | 0.00891972i | 0.637457 | − | 0.770486i | \(-0.279986\pi\) |
−0.648087 | + | 0.761566i | \(0.724431\pi\) | |||||||
\(242\) | 0.970582 | + | 0.0176332i | 0.0623914 | + | 0.00113350i | ||||
\(243\) | 12.3815 | + | 9.47097i | 0.794271 | + | 0.607563i | ||||
\(244\) | 15.9332 | + | 0.579130i | 1.02002 | + | 0.0370750i | ||||
\(245\) | −7.30342 | + | 8.70388i | −0.466599 | + | 0.556071i | ||||
\(246\) | 14.1436 | + | 7.05898i | 0.901762 | + | 0.450064i | ||||
\(247\) | −4.00562 | + | 0.706299i | −0.254872 | + | 0.0449407i | ||||
\(248\) | 10.4953 | − | 24.5792i | 0.666452 | − | 1.56078i | ||||
\(249\) | −7.82538 | + | 3.56908i | −0.495913 | + | 0.226181i | ||||
\(250\) | −16.8704 | − | 3.29175i | −1.06698 | − | 0.208188i | ||||
\(251\) | −11.9282 | + | 20.6602i | −0.752899 | + | 1.30406i | 0.193513 | + | 0.981098i | \(0.438012\pi\) |
−0.946412 | + | 0.322961i | \(0.895322\pi\) | |||||||
\(252\) | 3.64204 | − | 2.73979i | 0.229427 | − | 0.172590i | ||||
\(253\) | −9.88302 | − | 17.1179i | −0.621340 | − | 1.07619i | ||||
\(254\) | 4.02334 | + | 11.7117i | 0.252447 | + | 0.734859i | ||||
\(255\) | −18.9532 | − | 5.25002i | −1.18689 | − | 0.328769i | ||||
\(256\) | 13.6169 | − | 8.40124i | 0.851054 | − | 0.525078i | ||||
\(257\) | −0.876576 | − | 1.04466i | −0.0546793 | − | 0.0651642i | 0.738012 | − | 0.674788i | \(-0.235765\pi\) |
−0.792691 | + | 0.609624i | \(0.791321\pi\) | |||||||
\(258\) | 12.3338 | + | 13.0078i | 0.767871 | + | 0.809833i | ||||
\(259\) | 0.841951 | + | 2.31324i | 0.0523163 | + | 0.143738i | ||||
\(260\) | −4.37338 | + | 2.31738i | −0.271226 | + | 0.143718i | ||||
\(261\) | 22.7460 | + | 0.383296i | 1.40795 | + | 0.0237254i | ||||
\(262\) | −5.38774 | + | 8.95226i | −0.332856 | + | 0.553073i | ||||
\(263\) | −2.98147 | + | 16.9087i | −0.183845 | + | 1.04264i | 0.743585 | + | 0.668641i | \(0.233124\pi\) |
−0.927430 | + | 0.373996i | \(0.877987\pi\) | |||||||
\(264\) | 12.2947 | + | 9.81658i | 0.756689 | + | 0.604168i | ||||
\(265\) | 16.0242 | + | 5.83232i | 0.984357 | + | 0.358277i | ||||
\(266\) | −0.486384 | − | 3.08513i | −0.0298221 | − | 0.189161i | ||||
\(267\) | −0.839260 | + | 0.577181i | −0.0513619 | + | 0.0353229i | ||||
\(268\) | 7.62246 | − | 8.44138i | 0.465616 | − | 0.515639i | ||||
\(269\) | 8.79633i | 0.536322i | 0.963374 | + | 0.268161i | \(0.0864159\pi\) | ||||
−0.963374 | + | 0.268161i | \(0.913584\pi\) | |||||||
\(270\) | 9.58230 | − | 8.78397i | 0.583160 | − | 0.534575i | ||||
\(271\) | 3.18958i | 0.193753i | 0.995296 | + | 0.0968765i | \(0.0308852\pi\) | ||||
−0.995296 | + | 0.0968765i | \(0.969115\pi\) | |||||||
\(272\) | −17.8881 | + | 18.4184i | −1.08463 | + | 1.11678i | ||||
\(273\) | 0.144960 | + | 1.83481i | 0.00877338 | + | 0.111048i | ||||
\(274\) | −7.55941 | + | 1.19177i | −0.456680 | + | 0.0719976i | ||||
\(275\) | −5.64560 | − | 2.05483i | −0.340442 | − | 0.123911i | ||||
\(276\) | −2.80667 | + | 21.1354i | −0.168942 | + | 1.27220i | ||||
\(277\) | 2.42778 | − | 13.7686i | 0.145871 | − | 0.827276i | −0.820793 | − | 0.571226i | \(-0.806468\pi\) |
0.966664 | − | 0.256049i | \(-0.0824210\pi\) | |||||||
\(278\) | 17.6918 | + | 10.6475i | 1.06108 | + | 0.638593i | ||||
\(279\) | −21.4053 | − | 18.5846i | −1.28150 | − | 1.11263i | ||||
\(280\) | −1.71815 | − | 3.38995i | −0.102679 | − | 0.202588i | ||||
\(281\) | −1.60512 | − | 4.41002i | −0.0957532 | − | 0.263080i | 0.882564 | − | 0.470192i | \(-0.155816\pi\) |
−0.978317 | + | 0.207113i | \(0.933593\pi\) | |||||||
\(282\) | −2.42438 | − | 10.1166i | −0.144370 | − | 0.602433i | ||||
\(283\) | 2.77680 | + | 3.30926i | 0.165063 | + | 0.196715i | 0.842236 | − | 0.539110i | \(-0.181239\pi\) |
−0.677172 | + | 0.735825i | \(0.736795\pi\) | |||||||
\(284\) | 5.95846 | − | 4.64160i | 0.353569 | − | 0.275428i | ||||
\(285\) | −2.23305 | − | 8.62384i | −0.132275 | − | 0.510832i | ||||
\(286\) | −6.00899 | + | 2.06427i | −0.355319 | + | 0.122063i | ||||
\(287\) | −2.45091 | − | 4.24511i | −0.144673 | − | 0.250581i | ||||
\(288\) | −4.05683 | − | 16.4785i | −0.239051 | − | 0.971007i | ||||
\(289\) | 12.1007 | − | 20.9590i | 0.711803 | − | 1.23288i | ||||
\(290\) | 3.63302 | − | 18.6194i | 0.213338 | − | 1.09337i | ||||
\(291\) | 2.79682 | − | 29.1383i | 0.163952 | − | 1.70812i | ||||
\(292\) | −20.7515 | − | 8.41856i | −1.21439 | − | 0.492659i | ||||
\(293\) | −11.2158 | + | 1.97765i | −0.655235 | + | 0.115536i | −0.491375 | − | 0.870948i | \(-0.663506\pi\) |
−0.163860 | + | 0.986484i | \(0.552395\pi\) | |||||||
\(294\) | 15.7042 | − | 0.954040i | 0.915887 | − | 0.0556407i | ||||
\(295\) | −0.480865 | + | 0.573073i | −0.0279970 | + | 0.0333656i | ||||
\(296\) | 9.15289 | + | 0.499299i | 0.532001 | + | 0.0290212i | ||||
\(297\) | 13.9070 | − | 9.22295i | 0.806964 | − | 0.535170i | ||||
\(298\) | −0.0266931 | + | 1.46927i | −0.00154629 | + | 0.0851123i | ||||
\(299\) | −6.59590 | − | 5.53462i | −0.381451 | − | 0.320075i | ||||
\(300\) | 3.47584 | + | 5.46952i | 0.200678 | + | 0.315783i | ||||
\(301\) | −0.965261 | − | 5.47427i | −0.0556367 | − | 0.315531i | ||||
\(302\) | −7.70051 | + | 20.0179i | −0.443114 | + | 1.15190i | ||||
\(303\) | −5.51136 | + | 7.73157i | −0.316619 | + | 0.444167i | ||||
\(304\) | −11.2763 | − | 2.84565i | −0.646741 | − | 0.163209i | ||||
\(305\) | −12.2127 | − | 7.05099i | −0.699295 | − | 0.403738i | ||||
\(306\) | 12.7824 | + | 24.0465i | 0.730721 | + | 1.37465i | ||||
\(307\) | 18.5894 | − | 10.7326i | 1.06095 | − | 0.612541i | 0.135257 | − | 0.990811i | \(-0.456814\pi\) |
0.925696 | + | 0.378269i | \(0.123481\pi\) | |||||||
\(308\) | −1.50101 | − | 4.64214i | −0.0855282 | − | 0.264510i | ||||
\(309\) | 7.33535 | + | 7.46000i | 0.417294 | + | 0.424385i | ||||
\(310\) | −18.3814 | + | 14.8633i | −1.04399 | + | 0.844179i | ||||
\(311\) | −8.69917 | + | 7.29947i | −0.493285 | + | 0.413915i | −0.855202 | − | 0.518295i | \(-0.826567\pi\) |
0.361917 | + | 0.932210i | \(0.382122\pi\) | |||||||
\(312\) | 6.49531 | + | 2.18656i | 0.367725 | + | 0.123790i | ||||
\(313\) | −24.1218 | + | 8.77962i | −1.36345 | + | 0.496254i | −0.917118 | − | 0.398616i | \(-0.869491\pi\) |
−0.446328 | + | 0.894870i | \(0.647268\pi\) | |||||||
\(314\) | 5.36266 | + | 9.69076i | 0.302632 | + | 0.546881i | ||||
\(315\) | −3.98103 | + | 0.632997i | −0.224305 | + | 0.0356653i | ||||
\(316\) | −17.2181 | − | 10.7932i | −0.968591 | − | 0.607163i | ||||
\(317\) | 24.5290 | + | 4.32513i | 1.37769 | + | 0.242923i | 0.812943 | − | 0.582343i | \(-0.197864\pi\) |
0.564743 | + | 0.825267i | \(0.308975\pi\) | |||||||
\(318\) | −9.40667 | − | 21.6582i | −0.527500 | − | 1.21453i | ||||
\(319\) | 8.32919 | − | 22.8843i | 0.466345 | − | 1.28127i | ||||
\(320\) | −14.1213 | + | 0.926826i | −0.789406 | + | 0.0518111i | ||||
\(321\) | 3.19511 | − | 6.70390i | 0.178334 | − | 0.374175i | ||||
\(322\) | 4.34115 | − | 4.98674i | 0.241923 | − | 0.277900i | ||||
\(323\) | 18.6625 | 1.03841 | ||||||||
\(324\) | −17.9559 | − | 1.25952i | −0.997549 | − | 0.0699731i | ||||
\(325\) | −2.61713 | −0.145172 | ||||||||
\(326\) | −13.8091 | + | 15.8627i | −0.764814 | + | 0.878553i | ||||
\(327\) | −3.54078 | + | 7.42917i | −0.195805 | + | 0.410834i | ||||
\(328\) | −18.1213 | + | 2.18572i | −1.00058 | + | 0.120686i | ||||
\(329\) | −1.10334 | + | 3.03141i | −0.0608294 | + | 0.167127i | ||||
\(330\) | −5.54356 | − | 12.7636i | −0.305163 | − | 0.702615i | ||||
\(331\) | 31.0724 | + | 5.47891i | 1.70790 | + | 0.301148i | 0.940442 | − | 0.339955i | \(-0.110412\pi\) |
0.767454 | + | 0.641103i | \(0.221523\pi\) | |||||||
\(332\) | 5.27485 | − | 8.41482i | 0.289495 | − | 0.461823i | ||||
\(333\) | 3.47877 | − | 9.07888i | 0.190635 | − | 0.497519i | ||||
\(334\) | 0.696820 | + | 1.25921i | 0.0381283 | + | 0.0689010i | ||||
\(335\) | −9.45307 | + | 3.44064i | −0.516476 | + | 0.187982i | ||||
\(336\) | −1.76931 | + | 4.95621i | −0.0965238 | + | 0.270384i | ||||
\(337\) | 15.8413 | − | 13.2924i | 0.862929 | − | 0.724083i | −0.0996680 | − | 0.995021i | \(-0.531778\pi\) |
0.962597 | + | 0.270937i | \(0.0873336\pi\) | |||||||
\(338\) | 12.1437 | − | 9.81947i | 0.660531 | − | 0.534109i | ||||
\(339\) | −11.0515 | − | 11.2393i | −0.600236 | − | 0.610436i | ||||
\(340\) | 21.6078 | − | 6.98679i | 1.17185 | − | 0.378912i | ||||
\(341\) | −26.2801 | + | 15.1728i | −1.42315 | + | 0.821655i | ||||
\(342\) | −6.53785 | + | 10.4602i | −0.353526 | + | 0.565624i | ||||
\(343\) | −8.82994 | − | 5.09797i | −0.476772 | − | 0.275264i | ||||
\(344\) | −20.1582 | − | 4.69929i | −1.08686 | − | 0.253368i | ||||
\(345\) | 10.9462 | − | 15.3559i | 0.589326 | − | 0.826732i | ||||
\(346\) | 3.96724 | − | 10.3131i | 0.213280 | − | 0.554433i | ||||
\(347\) | 4.96431 | + | 28.1540i | 0.266498 | + | 1.51139i | 0.764734 | + | 0.644346i | \(0.222870\pi\) |
−0.498236 | + | 0.867041i | \(0.666019\pi\) | |||||||
\(348\) | −22.1705 | + | 14.0892i | −1.18847 | + | 0.755262i | ||||
\(349\) | −11.0490 | − | 9.27121i | −0.591439 | − | 0.496276i | 0.297242 | − | 0.954802i | \(-0.403933\pi\) |
−0.888681 | + | 0.458526i | \(0.848378\pi\) | |||||||
\(350\) | 0.0365038 | − | 2.00927i | 0.00195121 | − | 0.107400i | ||||
\(351\) | 4.31860 | − | 5.84732i | 0.230510 | − | 0.312107i | ||||
\(352\) | −18.0920 | − | 1.64780i | −0.964305 | − | 0.0878278i | ||||
\(353\) | 16.3175 | − | 19.4465i | 0.868496 | − | 1.03503i | −0.130554 | − | 0.991441i | \(-0.541676\pi\) |
0.999049 | − | 0.0435915i | \(-0.0138800\pi\) | |||||||
\(354\) | 1.03398 | − | 0.0628150i | 0.0549554 | − | 0.00333858i | ||||
\(355\) | −6.57900 | + | 1.16005i | −0.349177 | + | 0.0615693i | ||||
\(356\) | 0.442147 | − | 1.08988i | 0.0234337 | − | 0.0577634i | ||||
\(357\) | 0.806866 | − | 8.40623i | 0.0427039 | − | 0.444905i | ||||
\(358\) | 2.11460 | − | 10.8375i | 0.111760 | − | 0.572778i | ||||
\(359\) | 2.61678 | − | 4.53239i | 0.138108 | − | 0.239211i | −0.788672 | − | 0.614814i | \(-0.789231\pi\) |
0.926781 | + | 0.375603i | \(0.122564\pi\) | |||||||
\(360\) | −3.65361 | + | 14.5587i | −0.192562 | + | 0.767311i | ||||
\(361\) | −5.27335 | − | 9.13371i | −0.277545 | − | 0.480721i | ||||
\(362\) | −3.88929 | + | 1.33609i | −0.204416 | + | 0.0702233i | ||||
\(363\) | 0.298027 | + | 1.15095i | 0.0156424 | + | 0.0604093i | ||||
\(364\) | −1.30605 | − | 1.67659i | −0.0684557 | − | 0.0878771i | ||||
\(365\) | 12.7318 | + | 15.1732i | 0.666414 | + | 0.794201i | ||||
\(366\) | 4.55070 | + | 18.9894i | 0.237869 | + | 0.992591i | ||||
\(367\) | −11.0968 | − | 30.4882i | −0.579247 | − | 1.59147i | −0.789452 | − | 0.613812i | \(-0.789635\pi\) |
0.210205 | − | 0.977657i | \(-0.432587\pi\) | |||||||
\(368\) | −10.7293 | − | 22.1583i | −0.559302 | − | 1.15508i | ||||
\(369\) | −3.68257 | + | 19.0064i | −0.191707 | + | 0.989435i | ||||
\(370\) | −6.94660 | − | 4.18067i | −0.361136 | − | 0.217343i | ||||
\(371\) | −1.27150 | + | 7.21105i | −0.0660131 | + | 0.374379i | ||||
\(372\) | 32.4479 | + | 4.30892i | 1.68234 | + | 0.223407i | ||||
\(373\) | 13.8536 | + | 5.04230i | 0.717312 | + | 0.261080i | 0.674784 | − | 0.738015i | \(-0.264237\pi\) |
0.0425278 | + | 0.999095i | \(0.486459\pi\) | |||||||
\(374\) | 28.7968 | − | 4.53994i | 1.48905 | − | 0.234755i | ||||
\(375\) | −1.65802 | − | 20.9862i | −0.0856200 | − | 1.08372i | ||||
\(376\) | 8.76775 | + | 8.21116i | 0.452162 | + | 0.423458i | ||||
\(377\) | − | 10.6084i | − | 0.546363i | ||||||
\(378\) | 4.42899 | + | 3.39712i | 0.227802 | + | 0.174729i | ||||
\(379\) | 2.17390i | 0.111666i | 0.998440 | + | 0.0558329i | \(0.0177814\pi\) | ||||
−0.998440 | + | 0.0558329i | \(0.982219\pi\) | |||||||
\(380\) | 7.63445 | + | 6.89381i | 0.391639 | + | 0.353645i | ||||
\(381\) | −12.4966 | + | 8.59426i | −0.640222 | + | 0.440297i | ||||
\(382\) | −3.48801 | − | 22.1244i | −0.178462 | − | 1.13198i | ||||
\(383\) | 25.4781 | + | 9.27327i | 1.30187 | + | 0.473842i | 0.897605 | − | 0.440800i | \(-0.145305\pi\) |
0.404265 | + | 0.914642i | \(0.367527\pi\) | |||||||
\(384\) | 14.3854 | + | 13.3063i | 0.734104 | + | 0.679037i | ||||
\(385\) | −0.749325 | + | 4.24963i | −0.0381891 | + | 0.216581i | ||||
\(386\) | 9.30046 | − | 15.4536i | 0.473381 | − | 0.786568i | ||||
\(387\) | −11.2959 | + | 18.8253i | −0.574204 | + | 0.956945i | ||||
\(388\) | 15.8259 | + | 29.8667i | 0.803438 | + | 1.51625i | ||||
\(389\) | −9.29522 | − | 25.5384i | −0.471286 | − | 1.29485i | −0.916719 | − | 0.399533i | \(-0.869172\pi\) |
0.445432 | − | 0.895316i | \(-0.353050\pi\) | |||||||
\(390\) | −4.17085 | − | 4.39877i | −0.211199 | − | 0.222740i | ||||
\(391\) | 25.3944 | + | 30.2639i | 1.28425 | + | 1.53051i | ||||
\(392\) | −14.5322 | + | 10.9022i | −0.733987 | + | 0.550644i | ||||
\(393\) | −12.3323 | − | 3.41605i | −0.622085 | − | 0.172317i | ||||
\(394\) | 3.63075 | + | 10.5689i | 0.182915 | + | 0.532454i | ||||
\(395\) | 8.98690 | + | 15.5658i | 0.452180 | + | 0.783199i | ||||
\(396\) | −7.54350 | + | 17.7309i | −0.379075 | + | 0.891011i | ||||
\(397\) | −4.91342 | + | 8.51029i | −0.246597 | + | 0.427119i | −0.962579 | − | 0.271000i | \(-0.912646\pi\) |
0.715982 | + | 0.698119i | \(0.245979\pi\) | |||||||
\(398\) | 5.39945 | + | 1.05354i | 0.270650 | + | 0.0528091i | ||||
\(399\) | 3.48027 | − | 1.58732i | 0.174232 | − | 0.0794654i | ||||
\(400\) | −6.82742 | − | 3.06310i | −0.341371 | − | 0.153155i | ||||
\(401\) | 8.92802 | − | 1.57425i | 0.445844 | − | 0.0786143i | 0.0537811 | − | 0.998553i | \(-0.482873\pi\) |
0.392063 | + | 0.919938i | \(0.371762\pi\) | |||||||
\(402\) | 12.4637 | + | 6.22054i | 0.621631 | + | 0.310253i | ||||
\(403\) | −8.49698 | + | 10.1263i | −0.423265 | + | 0.504427i | ||||
\(404\) | 0.398238 | − | 10.9565i | 0.0198131 | − | 0.545105i | ||||
\(405\) | 13.5117 | + | 8.42036i | 0.671401 | + | 0.418411i | ||||
\(406\) | 8.14453 | + | 0.147967i | 0.404206 | + | 0.00734348i | ||||
\(407\) | −7.97292 | − | 6.69007i | −0.395203 | − | 0.331615i | ||||
\(408\) | −27.6074 | − | 15.0553i | −1.36677 | − | 0.745347i | ||||
\(409\) | 4.97696 | + | 28.2258i | 0.246095 | + | 1.39567i | 0.817936 | + | 0.575309i | \(0.195118\pi\) |
−0.571841 | + | 0.820364i | \(0.693771\pi\) | |||||||
\(410\) | 15.0678 | + | 5.79629i | 0.744143 | + | 0.286258i | ||||
\(411\) | −3.88937 | − | 8.52762i | −0.191848 | − | 0.420636i | ||||
\(412\) | −11.8132 | − | 2.52857i | −0.581995 | − | 0.124574i | ||||
\(413\) | −0.278191 | − | 0.160614i | −0.0136889 | − | 0.00790329i | ||||
\(414\) | −25.8589 | + | 3.63137i | −1.27090 | + | 0.178472i | ||||
\(415\) | −7.60731 | + | 4.39208i | −0.373428 | + | 0.215599i | ||||
\(416\) | −7.65131 | + | 2.02098i | −0.375136 | + | 0.0990867i | ||||
\(417\) | −6.75093 | + | 24.3717i | −0.330595 | + | 1.19348i | ||||
\(418\) | 8.30276 | + | 10.2680i | 0.406101 | + | 0.502224i | ||||
\(419\) | −12.8762 | + | 10.8044i | −0.629046 | + | 0.527832i | −0.900632 | − | 0.434582i | \(-0.856896\pi\) |
0.271587 | + | 0.962414i | \(0.412452\pi\) | |||||||
\(420\) | 3.43529 | − | 3.14077i | 0.167625 | − | 0.153254i | ||||
\(421\) | 9.49415 | − | 3.45559i | 0.462716 | − | 0.168415i | −0.100134 | − | 0.994974i | \(-0.531927\pi\) |
0.562850 | + | 0.826559i | \(0.309705\pi\) | |||||||
\(422\) | 4.78336 | − | 2.64701i | 0.232850 | − | 0.128854i | ||||
\(423\) | 11.1398 | − | 6.18370i | 0.541637 | − | 0.300662i | ||||
\(424\) | 22.8351 | + | 14.8988i | 1.10897 | + | 0.723548i | ||||
\(425\) | 11.8257 | + | 2.08519i | 0.573630 | + | 0.101146i | ||||
\(426\) | 7.43381 | + | 5.50545i | 0.360169 | + | 0.266740i | ||||
\(427\) | 2.07104 | − | 5.69014i | 0.100225 | − | 0.275365i | ||||
\(428\) | 1.18134 | + | 8.49347i | 0.0571023 | + | 0.410547i | ||||
\(429\) | −4.40950 | − | 6.41172i | −0.212893 | − | 0.309561i | ||||
\(430\) | 13.8084 | + | 12.0207i | 0.665900 | + | 0.579691i | ||||
\(431\) | −27.3550 | −1.31764 | −0.658822 | − | 0.752299i | \(-0.728945\pi\) | ||||
−0.658822 | + | 0.752299i | \(0.728945\pi\) | |||||||
\(432\) | 18.1099 | − | 10.1997i | 0.871311 | − | 0.490731i | ||||
\(433\) | −8.86214 | −0.425887 | −0.212944 | − | 0.977065i | \(-0.568305\pi\) | ||||
−0.212944 | + | 0.977065i | \(0.568305\pi\) | |||||||
\(434\) | −7.65586 | − | 6.66472i | −0.367493 | − | 0.319917i | ||||
\(435\) | 23.1619 | − | 1.82992i | 1.11053 | − | 0.0877379i | ||||
\(436\) | −1.30915 | − | 9.41235i | −0.0626968 | − | 0.450770i | ||||
\(437\) | −6.12040 | + | 16.8157i | −0.292779 | + | 0.804402i | ||||
\(438\) | 3.11602 | − | 27.2495i | 0.148889 | − | 1.30203i | ||||
\(439\) | −24.2876 | − | 4.28256i | −1.15918 | − | 0.204395i | −0.439202 | − | 0.898388i | \(-0.644739\pi\) |
−0.719982 | + | 0.693993i | \(0.755850\pi\) | |||||||
\(440\) | 13.4572 | + | 8.78018i | 0.641549 | + | 0.418579i | ||||
\(441\) | 6.28440 | + | 18.2155i | 0.299257 | + | 0.867404i | ||||
\(442\) | 11.1113 | − | 6.14877i | 0.528513 | − | 0.292467i | ||||
\(443\) | −11.7116 | + | 4.26266i | −0.556433 | + | 0.202525i | −0.604902 | − | 0.796300i | \(-0.706788\pi\) |
0.0484697 | + | 0.998825i | \(0.484566\pi\) | |||||||
\(444\) | 2.41758 | + | 10.9632i | 0.114733 | + | 0.520292i | ||||
\(445\) | −0.796903 | + | 0.668681i | −0.0377768 | + | 0.0316985i | ||||
\(446\) | −20.7821 | − | 25.7012i | −0.984062 | − | 1.21699i | ||||
\(447\) | −1.74231 | + | 0.451153i | −0.0824084 | + | 0.0213388i | ||||
\(448\) | −1.44487 | − | 5.90241i | −0.0682636 | − | 0.278862i | ||||
\(449\) | −30.7560 | + | 17.7570i | −1.45146 | + | 0.838003i | −0.998565 | − | 0.0535589i | \(-0.982944\pi\) |
−0.452899 | + | 0.891562i | \(0.649610\pi\) | |||||||
\(450\) | −5.31152 | + | 5.89775i | −0.250388 | + | 0.278023i | ||||
\(451\) | 17.9480 | + | 10.3623i | 0.845140 | + | 0.487942i | ||||
\(452\) | 17.7979 | + | 3.80957i | 0.837143 | + | 0.179187i | ||||
\(453\) | −26.1480 | − | 2.50980i | −1.22854 | − | 0.117921i | ||||
\(454\) | −14.0112 | − | 5.38987i | −0.657580 | − | 0.252959i | ||||
\(455\) | 0.326416 | + | 1.85119i | 0.0153026 | + | 0.0867853i | ||||
\(456\) | −0.346722 | − | 14.2393i | −0.0162368 | − | 0.666819i | ||||
\(457\) | 12.8012 | + | 10.7415i | 0.598816 | + | 0.502467i | 0.891065 | − | 0.453876i | \(-0.149959\pi\) |
−0.292249 | + | 0.956342i | \(0.594403\pi\) | |||||||
\(458\) | 9.83695 | + | 0.178714i | 0.459651 | + | 0.00835077i | ||||
\(459\) | −24.1727 | + | 22.9807i | −1.12829 | + | 1.07265i | ||||
\(460\) | −0.790951 | + | 21.7609i | −0.0368783 | + | 1.01461i | ||||
\(461\) | 4.70721 | − | 5.60984i | 0.219237 | − | 0.261276i | −0.645205 | − | 0.764010i | \(-0.723228\pi\) |
0.864441 | + | 0.502734i | \(0.167672\pi\) | |||||||
\(462\) | 4.98404 | − | 3.29592i | 0.231878 | − | 0.153340i | ||||
\(463\) | 14.7017 | − | 2.59231i | 0.683246 | − | 0.120475i | 0.178758 | − | 0.983893i | \(-0.442792\pi\) |
0.504489 | + | 0.863418i | \(0.331681\pi\) | |||||||
\(464\) | 12.4162 | − | 27.6747i | 0.576407 | − | 1.28477i | ||||
\(465\) | −23.5750 | − | 16.8051i | −1.09326 | − | 0.779319i | ||||
\(466\) | −22.4368 | − | 4.37786i | −1.03937 | − | 0.202801i | ||||
\(467\) | 15.8668 | − | 27.4821i | 0.734227 | − | 1.27172i | −0.220834 | − | 0.975311i | \(-0.570878\pi\) |
0.955062 | − | 0.296408i | \(-0.0957887\pi\) | |||||||
\(468\) | −0.446176 | + | 8.38189i | −0.0206245 | + | 0.387453i | ||||
\(469\) | −2.15980 | − | 3.74089i | −0.0997305 | − | 0.172738i | ||||
\(470\) | −3.45191 | − | 10.0483i | −0.159225 | − | 0.463495i | ||||
\(471\) | −9.67222 | + | 9.51061i | −0.445672 | + | 0.438226i | ||||
\(472\) | −0.956815 | + | 0.717811i | −0.0440410 | + | 0.0330399i | ||||
\(473\) | 15.1067 | + | 18.0035i | 0.694608 | + | 0.827802i | ||||
\(474\) | 7.07847 | − | 23.8606i | 0.325125 | − | 1.09595i | ||||
\(475\) | 1.86031 | + | 5.11115i | 0.0853567 | + | 0.234516i | ||||
\(476\) | 4.56568 | + | 8.61639i | 0.209268 | + | 0.394931i | ||||
\(477\) | 22.4637 | − | 18.2132i | 1.02854 | − | 0.833927i | ||||
\(478\) | −16.5024 | + | 27.4203i | −0.754801 | + | 1.25418i | ||||
\(479\) | 2.34547 | − | 13.3018i | 0.107167 | − | 0.607775i | −0.883165 | − | 0.469062i | \(-0.844592\pi\) |
0.990333 | − | 0.138713i | \(-0.0442967\pi\) | |||||||
\(480\) | −5.73233 | − | 16.3569i | −0.261644 | − | 0.746585i | ||||
\(481\) | −4.26039 | − | 1.55066i | −0.194257 | − | 0.0707038i | ||||
\(482\) | 0.0474440 | + | 0.300937i | 0.00216102 | + | 0.0137073i | ||||
\(483\) | 7.30975 | + | 3.48387i | 0.332605 | + | 0.158521i | ||||
\(484\) | −1.01891 | − | 0.920060i | −0.0463139 | − | 0.0418209i | ||||
\(485\) | − | 29.8960i | − | 1.35751i | ||||||
\(486\) | −4.41237 | − | 21.5993i | −0.200149 | − | 0.979765i | ||||
\(487\) | 21.1864i | 0.960045i | 0.877256 | + | 0.480023i | \(0.159372\pi\) | ||||
−0.877256 | + | 0.480023i | \(0.840628\pi\) | |||||||
\(488\) | −16.4576 | − | 15.4128i | −0.745000 | − | 0.697706i | ||||
\(489\) | −23.2521 | − | 11.0821i | −1.05150 | − | 0.501149i | ||||
\(490\) | 15.8724 | − | 2.50235i | 0.717042 | − | 0.113045i | ||||
\(491\) | −18.5924 | − | 6.76707i | −0.839062 | − | 0.305394i | −0.113490 | − | 0.993539i | \(-0.536203\pi\) |
−0.725573 | + | 0.688145i | \(0.758425\pi\) | |||||||
\(492\) | −8.53165 | − | 20.6628i | −0.384636 | − | 0.931551i | ||||
\(493\) | −8.45225 | + | 47.9351i | −0.380670 | + | 2.15889i | ||||
\(494\) | 4.92848 | + | 2.96611i | 0.221743 | + | 0.133452i | ||||
\(495\) | 13.2384 | − | 10.7335i | 0.595021 | − | 0.482434i | ||||
\(496\) | −34.0184 | + | 16.4720i | −1.52747 | + | 0.739616i | ||||
\(497\) | −0.981109 | − | 2.69557i | −0.0440087 | − | 0.120913i | ||||
\(498\) | 11.6611 | + | 3.45940i | 0.522549 | + | 0.155019i | ||||
\(499\) | −18.9238 | − | 22.5525i | −0.847146 | − | 1.00959i | −0.999773 | − | 0.0213055i | \(-0.993218\pi\) |
0.152627 | − | 0.988284i | \(-0.451227\pi\) | |||||||
\(500\) | 14.9384 | + | 19.1765i | 0.668064 | + | 0.857599i | ||||
\(501\) | −1.25680 | + | 1.23580i | −0.0561498 | + | 0.0552116i | ||||
\(502\) | 31.9077 | − | 10.9613i | 1.42411 | − | 0.489225i | ||||
\(503\) | −15.3565 | − | 26.5983i | −0.684714 | − | 1.18596i | −0.973527 | − | 0.228574i | \(-0.926594\pi\) |
0.288812 | − | 0.957386i | \(-0.406740\pi\) | |||||||
\(504\) | −6.42889 | − | 0.459459i | −0.286366 | − | 0.0204659i | ||||
\(505\) | −4.84861 | + | 8.39803i | −0.215760 | + | 0.373707i | ||||
\(506\) | −5.35331 | + | 27.4360i | −0.237984 | + | 1.21968i | ||||
\(507\) | 15.5748 | + | 11.1023i | 0.691703 | + | 0.493072i | ||||
\(508\) | 6.58359 | − | 16.2284i | 0.292100 | − | 0.720017i | ||||
\(509\) | 13.2428 | − | 2.33506i | 0.586977 | − | 0.103500i | 0.127731 | − | 0.991809i | \(-0.459231\pi\) |
0.459246 | + | 0.888309i | \(0.348120\pi\) | |||||||
\(510\) | 15.3416 | + | 23.1993i | 0.679337 | + | 1.02728i | ||||
\(511\) | −5.46698 | + | 6.51530i | −0.241845 | + | 0.288220i | ||||
\(512\) | −22.3257 | − | 3.68292i | −0.986665 | − | 0.162763i | ||||
\(513\) | −14.4893 | − | 4.27767i | −0.639720 | − | 0.188864i | ||||
\(514\) | −0.0350319 | + | 1.92826i | −0.00154519 | + | 0.0850518i | ||||
\(515\) | 8.18537 | + | 6.86834i | 0.360690 | + | 0.302655i | ||||
\(516\) | −1.07734 | − | 25.3277i | −0.0474273 | − | 1.11499i | ||||
\(517\) | −2.36842 | − | 13.4320i | −0.104163 | − | 0.590737i | ||||
\(518\) | 1.24993 | − | 3.24925i | 0.0549186 | − | 0.142764i | ||||
\(519\) | 13.4713 | + | 1.29303i | 0.591323 | + | 0.0567578i | ||||
\(520\) | 6.81676 | + | 1.58912i | 0.298935 | + | 0.0696877i | ||||
\(521\) | 9.44955 | + | 5.45570i | 0.413992 | + | 0.239018i | 0.692504 | − | 0.721414i | \(-0.256508\pi\) |
−0.278511 | + | 0.960433i | \(0.589841\pi\) | |||||||
\(522\) | −23.9064 | − | 21.5301i | −1.04635 | − | 0.942346i | ||||
\(523\) | −16.1086 | + | 9.30028i | −0.704378 | + | 0.406673i | −0.808976 | − | 0.587842i | \(-0.799978\pi\) |
0.104598 | + | 0.994515i | \(0.466644\pi\) | |||||||
\(524\) | 14.0597 | − | 4.54613i | 0.614199 | − | 0.198599i | ||||
\(525\) | 2.38267 | − | 0.616968i | 0.103988 | − | 0.0269267i | ||||
\(526\) | 18.8811 | − | 15.2674i | 0.823256 | − | 0.665689i | ||||
\(527\) | 46.4624 | − | 38.9865i | 2.02393 | − | 1.69828i | ||||
\(528\) | −3.99895 | − | 21.8874i | −0.174032 | − | 0.952529i | ||||
\(529\) | −13.9843 | + | 5.08986i | −0.608012 | + | 0.221298i | ||||
\(530\) | −11.6766 | − | 21.1006i | −0.507200 | − | 0.916553i | ||||
\(531\) | 0.413772 | + | 1.19933i | 0.0179562 | + | 0.0520464i | ||||
\(532\) | −2.34595 | + | 3.74242i | −0.101710 | + | 0.162255i | ||||
\(533\) | 8.89075 | + | 1.56768i | 0.385101 | + | 0.0679037i | ||||
\(534\) | 1.43116 | + | 0.163655i | 0.0619322 | + | 0.00708203i | ||||
\(535\) | 2.59410 | − | 7.12723i | 0.112153 | − | 0.308137i | ||||
\(536\) | −15.9690 | + | 1.92611i | −0.689754 | + | 0.0831953i | ||||
\(537\) | 13.4814 | − | 1.06511i | 0.581767 | − | 0.0459628i | ||||
\(538\) | 8.16799 | − | 9.38269i | 0.352147 | − | 0.404516i | ||||
\(539\) | 20.6274 | 0.888486 | ||||||||
\(540\) | −18.3776 | + | 0.471689i | −0.790844 | + | 0.0202982i | ||||
\(541\) | 16.5311 | 0.710730 | 0.355365 | − | 0.934728i | \(-0.384357\pi\) | ||||
0.355365 | + | 0.934728i | \(0.384357\pi\) | |||||||
\(542\) | 2.96174 | − | 3.40219i | 0.127218 | − | 0.146137i | ||||
\(543\) | −2.85402 | − | 4.14995i | −0.122478 | − | 0.178091i | ||||
\(544\) | 36.1832 | − | 3.03580i | 1.55134 | − | 0.130159i | ||||
\(545\) | −2.87475 | + | 7.89830i | −0.123141 | + | 0.338326i | ||||
\(546\) | 1.54912 | − | 2.09172i | 0.0662963 | − | 0.0895174i | ||||
\(547\) | −9.59158 | − | 1.69125i | −0.410106 | − | 0.0723128i | −0.0352109 | − | 0.999380i | \(-0.511210\pi\) |
−0.374895 | + | 0.927067i | \(0.622321\pi\) | |||||||
\(548\) | 9.16995 | + | 5.74821i | 0.391721 | + | 0.245551i | ||||
\(549\) | −20.9101 | + | 11.6072i | −0.892421 | + | 0.495382i | ||||
\(550\) | 4.11388 | + | 7.43412i | 0.175417 | + | 0.316992i | ||||
\(551\) | −20.7179 | + | 7.54069i | −0.882612 | + | 0.321244i | ||||
\(552\) | 22.6194 | − | 19.9381i | 0.962745 | − | 0.848620i | ||||
\(553\) | −5.91223 | + | 4.96095i | −0.251413 | + | 0.210961i | ||||
\(554\) | −15.3747 | + | 12.4321i | −0.653208 | + | 0.528188i | ||||
\(555\) | 2.65072 | − | 9.56941i | 0.112517 | − | 0.406199i | ||||
\(556\) | −8.98423 | − | 27.7853i | −0.381016 | − | 1.17836i | ||||
\(557\) | −16.9093 | + | 9.76261i | −0.716471 | + | 0.413655i | −0.813453 | − | 0.581631i | \(-0.802415\pi\) |
0.0969812 | + | 0.995286i | \(0.469081\pi\) | |||||||
\(558\) | 5.57504 | + | 39.6997i | 0.236010 | + | 1.68062i | ||||
\(559\) | 8.86613 | + | 5.11886i | 0.374997 | + | 0.216505i | ||||
\(560\) | −1.31512 | + | 5.21134i | −0.0555738 | + | 0.220219i | ||||
\(561\) | 14.8162 | + | 32.4851i | 0.625538 | + | 1.37152i | ||||
\(562\) | −2.38289 | + | 6.19445i | −0.100516 | + | 0.261297i | ||||
\(563\) | 0.00844444 | + | 0.0478908i | 0.000355891 | + | 0.00201836i | 0.984985 | − | 0.172639i | \(-0.0552294\pi\) |
−0.984629 | + | 0.174657i | \(0.944118\pi\) | |||||||
\(564\) | −6.80793 | + | 13.0421i | −0.286665 | + | 0.549173i | ||||
\(565\) | −12.3322 | − | 10.3479i | −0.518818 | − | 0.435340i | ||||
\(566\) | 0.110973 | − | 6.10829i | 0.00466456 | − | 0.256751i | ||||
\(567\) | −2.55325 | + | 6.34156i | −0.107227 | + | 0.266321i | ||||
\(568\) | −10.6657 | − | 0.581823i | −0.447522 | − | 0.0244128i | ||||
\(569\) | 14.3594 | − | 17.1129i | 0.601978 | − | 0.717409i | −0.375883 | − | 0.926667i | \(-0.622660\pi\) |
0.977860 | + | 0.209258i | \(0.0671049\pi\) | |||||||
\(570\) | −5.62591 | + | 11.2722i | −0.235643 | + | 0.472142i | ||||
\(571\) | 7.54185 | − | 1.32983i | 0.315617 | − | 0.0556518i | −0.0135958 | − | 0.999908i | \(-0.504328\pi\) |
0.329213 | + | 0.944256i | \(0.393217\pi\) | |||||||
\(572\) | 8.32636 | + | 3.37788i | 0.348143 | + | 0.141236i | ||||
\(573\) | 24.9581 | − | 11.3832i | 1.04264 | − | 0.475538i | ||||
\(574\) | −1.32758 | + | 6.80392i | −0.0554121 | + | 0.283990i | ||||
\(575\) | −5.75711 | + | 9.97161i | −0.240088 | + | 0.415845i | ||||
\(576\) | −10.9742 | + | 21.3440i | −0.457258 | + | 0.889334i | ||||
\(577\) | −0.594755 | − | 1.03015i | −0.0247600 | − | 0.0428855i | 0.853380 | − | 0.521289i | \(-0.174549\pi\) |
−0.878140 | + | 0.478404i | \(0.841215\pi\) | |||||||
\(578\) | −32.3691 | + | 11.1198i | −1.34638 | + | 0.462522i | ||||
\(579\) | 21.2884 | + | 5.89687i | 0.884715 | + | 0.245066i | ||||
\(580\) | −21.1646 | + | 16.4871i | −0.878813 | + | 0.684590i | ||||
\(581\) | −2.42452 | − | 2.88943i | −0.100586 | − | 0.119874i | ||||
\(582\) | −30.0401 | + | 28.4836i | −1.24520 | + | 1.18068i | ||||
\(583\) | −10.5883 | − | 29.0912i | −0.438524 | − | 1.20483i | ||||
\(584\) | 14.3176 | + | 28.2489i | 0.592465 | + | 1.16895i | ||||
\(585\) | 3.81987 | − | 6.36603i | 0.157932 | − | 0.263203i | ||||
\(586\) | 13.7998 | + | 8.30517i | 0.570066 | + | 0.343083i | ||||
\(587\) | 2.07929 | − | 11.7922i | 0.0858214 | − | 0.486717i | −0.911355 | − | 0.411621i | \(-0.864963\pi\) |
0.997176 | − | 0.0750959i | \(-0.0239263\pi\) | |||||||
\(588\) | −17.6369 | − | 13.5648i | −0.727334 | − | 0.559402i | ||||
\(589\) | 25.8161 | + | 9.39629i | 1.06373 | + | 0.387168i | ||||
\(590\) | 1.04506 | − | 0.164758i | 0.0430243 | − | 0.00678296i | ||||
\(591\) | −11.2773 | + | 7.75565i | −0.463884 | + | 0.319025i | ||||
\(592\) | −9.29938 | − | 9.03166i | −0.382202 | − | 0.371199i | ||||
\(593\) | − | 33.8346i | − | 1.38942i | −0.719290 | − | 0.694710i | \(-0.755533\pi\) | ||
0.719290 | − | 0.694710i | \(-0.244467\pi\) | |||||||
\(594\) | −23.3981 | − | 3.07582i | −0.960037 | − | 0.126202i | ||||
\(595\) | − | 8.62484i | − | 0.353584i | ||||||
\(596\) | 1.39279 | − | 1.54242i | 0.0570507 | − | 0.0631800i | ||||
\(597\) | 0.530658 | + | 6.71672i | 0.0217184 | + | 0.274897i | ||||
\(598\) | 1.89631 | + | 12.0283i | 0.0775460 | + | 0.491874i | ||||
\(599\) | 4.43045 | + | 1.61255i | 0.181023 | + | 0.0658871i | 0.430942 | − | 0.902380i | \(-0.358182\pi\) |
−0.249918 | + | 0.968267i | \(0.580404\pi\) | |||||||
\(600\) | 1.37128 | − | 9.06167i | 0.0559824 | − | 0.369941i | ||||
\(601\) | 2.90395 | − | 16.4691i | 0.118455 | − | 0.671790i | −0.866527 | − | 0.499131i | \(-0.833653\pi\) |
0.984982 | − | 0.172660i | \(-0.0552361\pi\) | |||||||
\(602\) | −4.05362 | + | 6.73549i | −0.165213 | + | 0.274518i | ||||
\(603\) | −3.24517 | + | 16.7489i | −0.132153 | + | 0.682069i | ||||
\(604\) | 26.8018 | − | 14.2018i | 1.09055 | − | 0.577863i | ||||
\(605\) | 0.415298 | + | 1.14102i | 0.0168843 | + | 0.0463891i | ||||
\(606\) | 13.0580 | − | 3.12929i | 0.530446 | − | 0.127119i | ||||
\(607\) | −16.3490 | − | 19.4839i | −0.663584 | − | 0.790828i | 0.324311 | − | 0.945950i | \(-0.394867\pi\) |
−0.987895 | + | 0.155122i | \(0.950423\pi\) | |||||||
\(608\) | 9.38560 | + | 13.5062i | 0.380636 | + | 0.547747i | ||||
\(609\) | 2.50086 | + | 9.65808i | 0.101340 | + | 0.391365i | ||||
\(610\) | 6.47944 | + | 18.8613i | 0.262345 | + | 0.763671i | ||||
\(611\) | −2.97070 | − | 5.14540i | −0.120182 | − | 0.208161i | ||||
\(612\) | 8.69433 | − | 37.5187i | 0.351448 | − | 1.51661i | ||||
\(613\) | 23.0173 | − | 39.8671i | 0.929658 | − | 1.61022i | 0.145765 | − | 0.989319i | \(-0.453436\pi\) |
0.783893 | − | 0.620896i | \(-0.213231\pi\) | |||||||
\(614\) | −29.7945 | − | 5.81349i | −1.20241 | − | 0.234613i | ||||
\(615\) | −1.88917 | + | 19.6820i | −0.0761786 | + | 0.793656i | ||||
\(616\) | −2.70947 | + | 6.34537i | −0.109168 | + | 0.255662i | ||||
\(617\) | −0.162348 | + | 0.0286264i | −0.00653590 | + | 0.00115246i | −0.176915 | − | 0.984226i | \(-0.556612\pi\) |
0.170379 | + | 0.985379i | \(0.445501\pi\) | |||||||
\(618\) | −0.897205 | − | 14.7687i | −0.0360909 | − | 0.594082i | ||||
\(619\) | −8.86726 | + | 10.5676i | −0.356405 | + | 0.424747i | −0.914220 | − | 0.405218i | \(-0.867195\pi\) |
0.557815 | + | 0.829965i | \(0.311640\pi\) | |||||||
\(620\) | 33.4083 | + | 1.21430i | 1.34171 | + | 0.0487675i | ||||
\(621\) | −12.7791 | − | 29.3173i | −0.512807 | − | 1.17646i | ||||
\(622\) | 16.0571 | + | 0.291720i | 0.643831 | + | 0.0116969i | ||||
\(623\) | −0.342186 | − | 0.287129i | −0.0137094 | − | 0.0115036i | ||||
\(624\) | −4.89791 | − | 8.36365i | −0.196073 | − | 0.334814i | ||||
\(625\) | −2.10920 | − | 11.9619i | −0.0843681 | − | 0.478475i | ||||
\(626\) | 33.8822 | + | 13.0339i | 1.35421 | + | 0.520938i | ||||
\(627\) | −9.38747 | + | 13.1692i | −0.374900 | + | 0.525926i | ||||
\(628\) | 3.27840 | − | 15.3163i | 0.130822 | − | 0.611188i | ||||
\(629\) | 18.0154 | + | 10.4012i | 0.718322 | + | 0.414724i | ||||
\(630\) | 4.83418 | + | 3.02146i | 0.192598 | + | 0.120378i | ||||
\(631\) | −28.8999 | + | 16.6854i | −1.15049 | + | 0.664234i | −0.949006 | − | 0.315259i | \(-0.897909\pi\) |
−0.201481 | + | 0.979492i | \(0.564575\pi\) | |||||||
\(632\) | 8.34361 | + | 27.5008i | 0.331891 | + | 1.09392i | ||||
\(633\) | 4.69444 | + | 4.77421i | 0.186587 | + | 0.189758i | ||||
\(634\) | −22.1479 | − | 27.3903i | −0.879606 | − | 1.08781i | ||||
\(635\) | −11.8659 | + | 9.95671i | −0.470885 | + | 0.395120i | ||||
\(636\) | −10.0774 | + | 31.8366i | −0.399593 | + | 1.26240i | ||||
\(637\) | 8.44367 | − | 3.07324i | 0.334550 | − | 0.121766i | ||||
\(638\) | −30.1340 | + | 16.6755i | −1.19302 | + | 0.660189i | ||||
\(639\) | −4.05374 | + | 10.5794i | −0.160363 | + | 0.418516i | ||||
\(640\) | 15.9233 | + | 12.1240i | 0.629423 | + | 0.479243i | ||||
\(641\) | −44.1736 | − | 7.78900i | −1.74475 | − | 0.307647i | −0.791803 | − | 0.610776i | \(-0.790858\pi\) |
−0.952949 | + | 0.303129i | \(0.901969\pi\) | |||||||
\(642\) | −9.63312 | + | 4.18390i | −0.380189 | + | 0.165125i | ||||
\(643\) | −9.50479 | + | 26.1142i | −0.374832 | + | 1.02984i | 0.598636 | + | 0.801021i | \(0.295710\pi\) |
−0.973468 | + | 0.228822i | \(0.926513\pi\) | |||||||
\(644\) | −9.26106 | + | 1.28810i | −0.364937 | + | 0.0507584i | ||||
\(645\) | −9.64689 | + | 20.2408i | −0.379846 | + | 0.796982i | ||||
\(646\) | −19.9065 | − | 17.3294i | −0.783210 | − | 0.681814i | ||||
\(647\) | 29.6395 | 1.16525 | 0.582624 | − | 0.812742i | \(-0.302026\pi\) | ||||
0.582624 | + | 0.812742i | \(0.302026\pi\) | |||||||
\(648\) | 17.9833 | + | 18.0167i | 0.706449 | + | 0.707764i | ||||
\(649\) | 1.35813 | 0.0533113 | ||||||||
\(650\) | 2.79158 | + | 2.43018i | 0.109495 | + | 0.0953195i | ||||
\(651\) | 5.34857 | − | 11.2222i | 0.209627 | − | 0.439834i | ||||
\(652\) | 29.4591 | − | 4.09742i | 1.15371 | − | 0.160467i | ||||
\(653\) | 3.24289 | − | 8.90976i | 0.126904 | − | 0.348666i | −0.859928 | − | 0.510416i | \(-0.829492\pi\) |
0.986832 | + | 0.161750i | \(0.0517138\pi\) | |||||||
\(654\) | 10.6753 | − | 4.63654i | 0.417437 | − | 0.181303i | ||||
\(655\) | −12.8709 | − | 2.26949i | −0.502907 | − | 0.0886762i | ||||
\(656\) | 21.3589 | + | 14.4955i | 0.833924 | + | 0.565953i | ||||
\(657\) | 33.1744 | − | 5.27485i | 1.29426 | − | 0.205791i | ||||
\(658\) | 3.99177 | − | 2.20896i | 0.155615 | − | 0.0861141i | ||||
\(659\) | 39.0039 | − | 14.1963i | 1.51938 | − | 0.553008i | 0.558385 | − | 0.829582i | \(-0.311421\pi\) |
0.960993 | + | 0.276573i | \(0.0891989\pi\) | |||||||
\(660\) | −5.93881 | + | 18.7620i | −0.231168 | + | 0.730311i | ||||
\(661\) | −1.13289 | + | 0.950604i | −0.0440642 | + | 0.0369742i | −0.664554 | − | 0.747240i | \(-0.731378\pi\) |
0.620490 | + | 0.784215i | \(0.286934\pi\) | |||||||
\(662\) | −28.0562 | − | 34.6970i | −1.09043 | − | 1.34854i | ||||
\(663\) | 10.9048 | + | 11.0901i | 0.423506 | + | 0.430703i | ||||
\(664\) | −13.4402 | + | 4.07769i | −0.521581 | + | 0.158245i | ||||
\(665\) | 3.38329 | − | 1.95334i | 0.131198 | − | 0.0757474i | ||||
\(666\) | −12.1410 | + | 6.45380i | −0.470455 | + | 0.250080i | ||||
\(667\) | −40.4196 | − | 23.3363i | −1.56505 | − | 0.903584i | ||||
\(668\) | 0.425993 | − | 1.99019i | 0.0164822 | − | 0.0770030i | ||||
\(669\) | 23.4972 | − | 32.9629i | 0.908455 | − | 1.27442i | ||||
\(670\) | 13.2781 | + | 5.10783i | 0.512977 | + | 0.197333i | ||||
\(671\) | 4.44566 | + | 25.2126i | 0.171623 | + | 0.973320i | ||||
\(672\) | 6.48943 | − | 3.64367i | 0.250335 | − | 0.140558i | ||||
\(673\) | −6.61457 | − | 5.55028i | −0.254973 | − | 0.213948i | 0.506337 | − | 0.862335i | \(-0.330999\pi\) |
−0.761310 | + | 0.648388i | \(0.775444\pi\) | |||||||
\(674\) | −29.2401 | − | 0.531224i | −1.12629 | − | 0.0204620i | ||||
\(675\) | −8.70339 | − | 4.32951i | −0.334994 | − | 0.166643i | ||||
\(676\) | −22.0712 | − | 0.802230i | −0.848894 | − | 0.0308550i | ||||
\(677\) | −16.1671 | + | 19.2672i | −0.621353 | + | 0.740499i | −0.981302 | − | 0.192472i | \(-0.938349\pi\) |
0.359950 | + | 0.932972i | \(0.382794\pi\) | |||||||
\(678\) | 1.35174 | + | 22.2506i | 0.0519132 | + | 0.854529i | ||||
\(679\) | 12.6422 | − | 2.22916i | 0.485163 | − | 0.0855473i | ||||
\(680\) | −29.5359 | − | 12.6118i | −1.13265 | − | 0.483641i | ||||
\(681\) | 1.75670 | − | 18.3020i | 0.0673170 | − | 0.701333i | ||||
\(682\) | 42.1209 | + | 8.21862i | 1.61289 | + | 0.314707i | ||||
\(683\) | 10.1910 | − | 17.6513i | 0.389948 | − | 0.675409i | −0.602494 | − | 0.798123i | \(-0.705826\pi\) |
0.992442 | + | 0.122714i | \(0.0391597\pi\) | |||||||
\(684\) | 16.6867 | − | 5.08665i | 0.638031 | − | 0.194493i | ||||
\(685\) | −4.78622 | − | 8.28998i | −0.182872 | − | 0.316744i | ||||
\(686\) | 4.68473 | + | 13.6370i | 0.178864 | + | 0.520663i | ||||
\(687\) | 3.02054 | + | 11.6650i | 0.115241 | + | 0.445048i | ||||
\(688\) | 17.1383 | + | 23.7308i | 0.653393 | + | 0.904728i | ||||
\(689\) | −8.66849 | − | 10.3307i | −0.330243 | − | 0.393569i | ||||
\(690\) | −25.9349 | + | 6.21515i | −0.987323 | + | 0.236607i | ||||
\(691\) | 10.6380 | + | 29.2276i | 0.404688 | + | 1.11187i | 0.959944 | + | 0.280192i | \(0.0903980\pi\) |
−0.555256 | + | 0.831679i | \(0.687380\pi\) | |||||||
\(692\) | −13.8081 | + | 7.31666i | −0.524904 | + | 0.278138i | ||||
\(693\) | 5.52599 | + | 4.79781i | 0.209915 | + | 0.182254i | ||||
\(694\) | 20.8477 | − | 34.6405i | 0.791367 | − | 1.31493i | ||||
\(695\) | −4.48504 | + | 25.4360i | −0.170127 | + | 0.964841i | ||||
\(696\) | 36.7312 | + | 5.55845i | 1.39229 | + | 0.210693i | ||||
\(697\) | −38.9245 | − | 14.1674i | −1.47437 | − | 0.536627i | ||||
\(698\) | 3.17657 | + | 20.1490i | 0.120235 | + | 0.762649i | ||||
\(699\) | −2.20509 | − | 27.9106i | −0.0834042 | − | 1.05568i | ||||
\(700\) | −1.90468 | + | 2.10931i | −0.0719903 | + | 0.0797246i | ||||
\(701\) | 6.46847i | 0.244311i | 0.992511 | + | 0.122155i | \(0.0389806\pi\) | ||||
−0.992511 | + | 0.122155i | \(0.961019\pi\) | |||||||
\(702\) | −10.0361 | + | 2.22699i | −0.378788 | + | 0.0840522i | ||||
\(703\) | 9.42262i | 0.355381i | ||||||||
\(704\) | 17.7679 | + | 18.5573i | 0.669652 | + | 0.699403i | ||||
\(705\) | 10.7218 | − | 7.37363i | 0.403805 | − | 0.277707i | ||||
\(706\) | −35.4627 | + | 5.59084i | −1.33465 | + | 0.210414i | ||||
\(707\) | −3.91282 | − | 1.42415i | −0.147157 | − | 0.0535607i | ||||
\(708\) | −1.16123 | − | 0.893119i | −0.0436418 | − | 0.0335655i | ||||
\(709\) | 3.74684 | − | 21.2494i | 0.140715 | − | 0.798036i | −0.829993 | − | 0.557774i | \(-0.811655\pi\) |
0.970708 | − | 0.240262i | \(-0.0772334\pi\) | |||||||
\(710\) | 8.09474 | + | 4.87166i | 0.303790 | + | 0.182830i | ||||
\(711\) | 30.4776 | + | 0.513581i | 1.14300 | + | 0.0192608i | ||||
\(712\) | −1.48365 | + | 0.751965i | −0.0556019 | + | 0.0281811i | ||||
\(713\) | 19.8911 | + | 54.6503i | 0.744927 | + | 2.04667i | ||||
\(714\) | −8.66640 | + | 8.21735i | −0.324332 | + | 0.307527i | ||||
\(715\) | −5.10854 | − | 6.08812i | −0.191048 | − | 0.227683i | ||||
\(716\) | −12.3189 | + | 9.59634i | −0.460378 | + | 0.358632i | ||||
\(717\) | −37.7733 | − | 10.4632i | −1.41067 | − | 0.390755i | ||||
\(718\) | −6.99985 | + | 2.40466i | −0.261232 | + | 0.0897413i | ||||
\(719\) | 4.48435 | + | 7.76713i | 0.167238 | + | 0.289665i | 0.937448 | − | 0.348126i | \(-0.113182\pi\) |
−0.770210 | + | 0.637791i | \(0.779848\pi\) | |||||||
\(720\) | 17.4159 | − | 12.1366i | 0.649052 | − | 0.452303i | ||||
\(721\) | −2.29410 | + | 3.97349i | −0.0854366 | + | 0.147980i | ||||
\(722\) | −2.85640 | + | 14.6392i | −0.106304 | + | 0.544815i | ||||
\(723\) | −0.339481 | + | 0.154834i | −0.0126254 | + | 0.00575835i | ||||
\(724\) | 5.38919 | + | 2.18631i | 0.200288 | + | 0.0812536i | ||||
\(725\) | −13.9707 | + | 2.46341i | −0.518858 | + | 0.0914886i | ||||
\(726\) | 0.750843 | − | 1.50441i | 0.0278664 | − | 0.0558340i | ||||
\(727\) | 25.5804 | − | 30.4856i | 0.948726 | − | 1.13065i | −0.0425829 | − | 0.999093i | \(-0.513559\pi\) |
0.991309 | − | 0.131555i | \(-0.0419969\pi\) | |||||||
\(728\) | −0.163713 | + | 3.00111i | −0.00606762 | + | 0.111228i | ||||
\(729\) | 24.0349 | − | 12.3013i | 0.890183 | − | 0.455604i | ||||
\(730\) | 0.508821 | − | 28.0070i | 0.0188323 | − | 1.03658i | ||||
\(731\) | −35.9839 | − | 30.1940i | −1.33091 | − | 1.11677i | ||||
\(732\) | 12.7789 | − | 24.4808i | 0.472321 | − | 0.904838i | ||||
\(733\) | 5.60310 | + | 31.7768i | 0.206955 | + | 1.17370i | 0.894333 | + | 0.447402i | \(0.147651\pi\) |
−0.687378 | + | 0.726300i | \(0.741238\pi\) | |||||||
\(734\) | −16.4738 | + | 42.8246i | −0.608060 | + | 1.58068i | ||||
\(735\) | 8.16647 | + | 17.9053i | 0.301225 | + | 0.660449i | ||||
\(736\) | −9.13100 | + | 33.5982i | −0.336573 | + | 1.23845i | ||||
\(737\) | 15.8162 | + | 9.13151i | 0.582599 | + | 0.336364i | ||||
\(738\) | 21.5768 | − | 16.8539i | 0.794253 | − | 0.620399i | ||||
\(739\) | 45.5964 | − | 26.3251i | 1.67729 | − | 0.968384i | 0.713912 | − | 0.700235i | \(-0.246922\pi\) |
0.963378 | − | 0.268148i | \(-0.0864118\pi\) | |||||||
\(740\) | 3.52761 | + | 10.9097i | 0.129678 | + | 0.401050i | ||||
\(741\) | −1.88064 | + | 6.78932i | −0.0690869 | + | 0.249412i | ||||
\(742\) | 8.05221 | − | 6.51106i | 0.295606 | − | 0.239028i | ||||
\(743\) | 5.64333 | − | 4.73531i | 0.207034 | − | 0.173722i | −0.533375 | − | 0.845879i | \(-0.679077\pi\) |
0.740409 | + | 0.672157i | \(0.234632\pi\) | |||||||
\(744\) | −30.6097 | − | 34.7262i | −1.12221 | − | 1.27312i | ||||
\(745\) | −1.72728 | + | 0.628678i | −0.0632825 | + | 0.0230330i | ||||
\(746\) | −10.0950 | − | 18.2424i | −0.369603 | − | 0.667902i | ||||
\(747\) | −0.250997 | + | 14.8950i | −0.00918352 | + | 0.544980i | ||||
\(748\) | −34.9320 | − | 21.8972i | −1.27724 | − | 0.800641i | ||||
\(749\) | 3.20733 | + | 0.565539i | 0.117193 | + | 0.0206643i | ||||
\(750\) | −17.7186 | + | 23.9247i | −0.646990 | + | 0.873607i | ||||
\(751\) | −14.4395 | + | 39.6722i | −0.526905 | + | 1.44766i | 0.335792 | + | 0.941936i | \(0.390996\pi\) |
−0.862696 | + | 0.505722i | \(0.831226\pi\) | |||||||
\(752\) | −1.72759 | − | 16.9000i | −0.0629986 | − | 0.616278i | ||||
\(753\) | 23.4144 | + | 34.0461i | 0.853268 | + | 1.24071i | ||||
\(754\) | −9.85066 | + | 11.3156i | −0.358740 | + | 0.412090i | ||||
\(755\) | −26.8280 | −0.976373 | ||||||||
\(756\) | −1.56976 | − | 7.73618i | −0.0570917 | − | 0.281362i | ||||
\(757\) | −18.7376 | −0.681028 | −0.340514 | − | 0.940239i | \(-0.610601\pi\) | ||||
−0.340514 | + | 0.940239i | \(0.610601\pi\) | |||||||
\(758\) | 2.01861 | − | 2.31881i | 0.0733194 | − | 0.0842231i | ||||
\(759\) | −34.1294 | + | 2.69641i | −1.23882 | + | 0.0978736i | ||||
\(760\) | −1.74199 | − | 14.4425i | −0.0631886 | − | 0.523883i | ||||
\(761\) | 2.99398 | − | 8.22589i | 0.108532 | − | 0.298188i | −0.873524 | − | 0.486782i | \(-0.838171\pi\) |
0.982055 | + | 0.188594i | \(0.0603929\pi\) | |||||||
\(762\) | 21.3100 | + | 2.43683i | 0.771980 | + | 0.0882770i | ||||
\(763\) | −3.55432 | − | 0.626722i | −0.128675 | − | 0.0226889i | ||||
\(764\) | −16.8235 | + | 26.8380i | −0.608652 | + | 0.970966i | ||||
\(765\) | −22.3325 | + | 25.7219i | −0.807432 | + | 0.929978i | ||||
\(766\) | −18.5656 | − | 33.5496i | −0.670802 | − | 1.21219i | ||||
\(767\) | 0.555940 | − | 0.202346i | 0.0200738 | − | 0.00730627i | ||||
\(768\) | −2.98853 | − | 27.5512i | −0.107839 | − | 0.994168i | ||||
\(769\) | 18.0034 | − | 15.1066i | 0.649219 | − | 0.544759i | −0.257615 | − | 0.966248i | \(-0.582937\pi\) |
0.906834 | + | 0.421489i | \(0.138492\pi\) | |||||||
\(770\) | 4.74535 | − | 3.83711i | 0.171010 | − | 0.138280i | ||||
\(771\) | −2.28660 | + | 0.592092i | −0.0823499 | + | 0.0213237i | ||||
\(772\) | −24.2701 | + | 7.84764i | −0.873501 | + | 0.282443i | ||||
\(773\) | 13.5604 | − | 7.82910i | 0.487733 | − | 0.281593i | −0.235900 | − | 0.971777i | \(-0.575804\pi\) |
0.723634 | + | 0.690184i | \(0.242471\pi\) | |||||||
\(774\) | 29.5295 | − | 9.59117i | 1.06142 | − | 0.344748i | ||||
\(775\) | 15.3088 | + | 8.83855i | 0.549909 | + | 0.317490i | ||||
\(776\) | 10.8525 | − | 46.5530i | 0.389581 | − | 1.67116i | ||||
\(777\) | 4.24428 | + | 0.407385i | 0.152263 | + | 0.0146148i | ||||
\(778\) | −13.7993 | + | 35.8720i | −0.494729 | + | 1.28607i | ||||
\(779\) | −3.25811 | − | 18.4776i | −0.116734 | − | 0.662030i | ||||
\(780\) | 0.364317 | + | 8.56490i | 0.0130446 | + | 0.306673i | ||||
\(781\) | 9.29069 | + | 7.79581i | 0.332447 | + | 0.278956i | ||||
\(782\) | 1.01487 | − | 55.8617i | 0.0362919 | − | 1.99761i | ||||
\(783\) | 17.5495 | − | 35.2789i | 0.627170 | − | 1.26077i | ||||
\(784\) | 25.6243 | + | 1.86521i | 0.915155 | + | 0.0666148i | ||||
\(785\) | −8.90510 | + | 10.6127i | −0.317837 | + | 0.378783i | ||||
\(786\) | 9.98238 | + | 15.0952i | 0.356060 | + | 0.538427i | ||||
\(787\) | −15.9427 | + | 2.81113i | −0.568296 | + | 0.100206i | −0.450411 | − | 0.892821i | \(-0.648723\pi\) |
−0.117885 | + | 0.993027i | \(0.537612\pi\) | |||||||
\(788\) | 5.94118 | − | 14.6448i | 0.211646 | − | 0.521701i | ||||
\(789\) | 24.2159 | + | 17.2620i | 0.862107 | + | 0.614543i | ||||
\(790\) | 4.86791 | − | 24.9483i | 0.173192 | − | 0.887621i | ||||
\(791\) | 3.45631 | − | 5.98650i | 0.122892 | − | 0.212856i | ||||
\(792\) | 24.5107 | − | 11.9082i | 0.870949 | − | 0.423138i | ||||
\(793\) | 5.57617 | + | 9.65821i | 0.198016 | + | 0.342973i | ||||
\(794\) | 13.1433 | − | 4.51514i | 0.466439 | − | 0.160236i | ||||
\(795\) | 21.0603 | − | 20.7084i | 0.746930 | − | 0.734450i | ||||
\(796\) | −4.78109 | − | 6.13752i | −0.169461 | − | 0.217539i | ||||
\(797\) | −19.0625 | − | 22.7178i | −0.675229 | − | 0.804707i | 0.314256 | − | 0.949338i | \(-0.398245\pi\) |
−0.989486 | + | 0.144631i | \(0.953800\pi\) | |||||||
\(798\) | −5.18620 | − | 1.53854i | −0.183590 | − | 0.0544637i | ||||
\(799\) | 9.32375 | + | 25.6168i | 0.329850 | + | 0.906257i | ||||
\(800\) | 4.43823 | + | 9.60701i | 0.156915 | + | 0.339659i | ||||
\(801\) | 0.277038 | + | 1.74234i | 0.00978864 | + | 0.0615624i | ||||
\(802\) | −10.9850 | − | 6.61108i | −0.387892 | − | 0.233445i | ||||
\(803\) | 6.24423 | − | 35.4128i | 0.220354 | − | 1.24969i | ||||
\(804\) | −7.51829 | − | 18.2086i | −0.265150 | − | 0.642166i | ||||
\(805\) | 7.77135 | + | 2.82854i | 0.273904 | + | 0.0996929i | ||||
\(806\) | 18.4663 | − | 2.91130i | 0.650449 | − | 0.102546i | ||||
\(807\) | 13.7535 | + | 6.55498i | 0.484146 | + | 0.230746i | ||||
\(808\) | −10.5986 | + | 11.3170i | −0.372858 | + | 0.398132i | ||||
\(809\) | 28.2066i | 0.991690i | 0.868411 | + | 0.495845i | \(0.165142\pi\) | ||||
−0.868411 | + | 0.495845i | \(0.834858\pi\) | |||||||
\(810\) | −6.59348 | − | 21.5282i | −0.231671 | − | 0.756423i | ||||
\(811\) | − | 28.0396i | − | 0.984605i | −0.870424 | − | 0.492302i | \(-0.836155\pi\) | ||
0.870424 | − | 0.492302i | \(-0.163845\pi\) | |||||||
\(812\) | −8.55004 | − | 7.72058i | −0.300048 | − | 0.270939i | ||||
\(813\) | 4.98706 | + | 2.37686i | 0.174904 | + | 0.0833600i | ||||
\(814\) | 2.29220 | + | 14.5394i | 0.0803416 | + | 0.509606i | ||||
\(815\) | −24.7204 | − | 8.99750i | −0.865918 | − | 0.315169i | ||||
\(816\) | 15.4679 | + | 41.6942i | 0.541484 | + | 1.45959i | ||||
\(817\) | 3.69472 | − | 20.9538i | 0.129262 | − | 0.733081i | ||||
\(818\) | 20.9008 | − | 34.7287i | 0.730779 | − | 1.21426i | ||||
\(819\) | 2.97684 | + | 1.14064i | 0.104019 | + | 0.0398572i | ||||
\(820\) | −10.6899 | − | 20.1741i | −0.373308 | − | 0.704510i | ||||
\(821\) | −10.1420 | − | 27.8650i | −0.353960 | − | 0.972496i | −0.981085 | − | 0.193578i | \(-0.937991\pi\) |
0.627125 | − | 0.778918i | \(-0.284231\pi\) | |||||||
\(822\) | −3.76984 | + | 12.7076i | −0.131488 | + | 0.443229i | ||||
\(823\) | 7.87250 | + | 9.38208i | 0.274418 | + | 0.327039i | 0.885598 | − | 0.464453i | \(-0.153749\pi\) |
−0.611180 | + | 0.791492i | \(0.709305\pi\) | |||||||
\(824\) | 10.2527 | + | 13.6665i | 0.357170 | + | 0.476094i | ||||
\(825\) | −7.41990 | + | 7.29592i | −0.258328 | + | 0.254011i | ||||
\(826\) | 0.147595 | + | 0.429640i | 0.00513547 | + | 0.0149491i | ||||
\(827\) | 5.15219 | + | 8.92386i | 0.179159 | + | 0.310313i | 0.941593 | − | 0.336754i | \(-0.109329\pi\) |
−0.762434 | + | 0.647067i | \(0.775996\pi\) | |||||||
\(828\) | 30.9547 | + | 20.1383i | 1.07575 | + | 0.699855i | ||||
\(829\) | −20.0735 | + | 34.7684i | −0.697183 | + | 1.20756i | 0.272256 | + | 0.962225i | \(0.412230\pi\) |
−0.969439 | + | 0.245332i | \(0.921103\pi\) | |||||||
\(830\) | 12.1928 | + | 2.37905i | 0.423217 | + | 0.0825779i | ||||
\(831\) | −19.7187 | − | 14.0562i | −0.684035 | − | 0.487606i | ||||
\(832\) | 10.0380 | + | 4.94906i | 0.348003 | + | 0.171578i | ||||
\(833\) | −40.6020 | + | 7.15922i | −1.40677 | + | 0.248052i | ||||
\(834\) | 29.8317 | − | 19.7276i | 1.03299 | − | 0.683109i | ||||
\(835\) | −1.15712 | + | 1.37901i | −0.0400439 | + | 0.0477225i | ||||
\(836\) | 0.678318 | − | 18.6621i | 0.0234601 | − | 0.645443i | ||||
\(837\) | −45.0091 | + | 19.6190i | −1.55574 | + | 0.678132i | ||||
\(838\) | 23.7672 | + | 0.431795i | 0.821025 | + | 0.0149161i | ||||
\(839\) | 37.1850 | + | 31.2019i | 1.28377 | + | 1.07721i | 0.992713 | + | 0.120502i | \(0.0384506\pi\) |
0.291055 | + | 0.956706i | \(0.405994\pi\) | |||||||
\(840\) | −6.58070 | + | 0.160237i | −0.227056 | + | 0.00552872i | ||||
\(841\) | −4.94954 | − | 28.0703i | −0.170674 | − | 0.967940i | ||||
\(842\) | −13.3358 | − | 5.13002i | −0.459581 | − | 0.176792i | ||||
\(843\) | −8.09140 | − | 0.776648i | −0.278683 | − | 0.0267492i | ||||
\(844\) | −7.56015 | − | 1.61822i | −0.260231 | − | 0.0557014i | ||||
\(845\) | 16.9174 | + | 9.76726i | 0.581976 | + | 0.336004i | ||||
\(846\) | −17.6244 | − | 3.74818i | −0.605939 | − | 0.128865i | ||||
\(847\) | −0.451540 | + | 0.260697i | −0.0155151 | + | 0.00895764i | ||||
\(848\) | −10.5228 | − | 37.0958i | −0.361353 | − | 1.27388i | ||||
\(849\) | 7.24344 | − | 1.87561i | 0.248594 | − | 0.0643709i | ||||
\(850\) | −10.6777 | − | 13.2051i | −0.366244 | − | 0.452932i | ||||
\(851\) | −15.2801 | + | 12.8216i | −0.523797 | + | 0.439518i | ||||
\(852\) | −2.81716 | − | 12.7752i | −0.0965142 | − | 0.437672i | ||||
\(853\) | −10.1083 | + | 3.67913i | −0.346102 | + | 0.125971i | −0.509222 | − | 0.860635i | \(-0.670067\pi\) |
0.163119 | + | 0.986606i | \(0.447844\pi\) | |||||||
\(854\) | −7.49278 | + | 4.14634i | −0.256398 | + | 0.141885i | ||||
\(855\) | −15.1478 | − | 2.93495i | −0.518046 | − | 0.100373i | ||||
\(856\) | 6.62667 | − | 10.1566i | 0.226495 | − | 0.347145i | ||||
\(857\) | −3.33877 | − | 0.588716i | −0.114050 | − | 0.0201102i | 0.116332 | − | 0.993210i | \(-0.462886\pi\) |
−0.230382 | + | 0.973100i | \(0.573998\pi\) | |||||||
\(858\) | −1.25028 | + | 10.9336i | −0.0426837 | + | 0.373268i | ||||
\(859\) | 6.70377 | − | 18.4184i | 0.228730 | − | 0.628429i | −0.771237 | − | 0.636548i | \(-0.780362\pi\) |
0.999967 | + | 0.00811819i | \(0.00258413\pi\) | |||||||
\(860\) | −3.56679 | − | 25.6440i | −0.121626 | − | 0.874455i | ||||
\(861\) | −8.46384 | + | 0.668690i | −0.288447 | + | 0.0227889i | ||||
\(862\) | 29.1785 | + | 25.4010i | 0.993823 | + | 0.865161i | ||||
\(863\) | −48.0692 | −1.63629 | −0.818147 | − | 0.575009i | \(-0.804999\pi\) | ||||
−0.818147 | + | 0.575009i | \(0.804999\pi\) | |||||||
\(864\) | −28.7881 | − | 5.93668i | −0.979392 | − | 0.201970i | ||||
\(865\) | 13.8216 | 0.469949 | ||||||||
\(866\) | 9.45288 | + | 8.22909i | 0.321222 | + | 0.279636i | ||||
\(867\) | −23.7530 | − | 34.5385i | −0.806694 | − | 1.17299i | ||||
\(868\) | 1.97755 | + | 14.2180i | 0.0671225 | + | 0.482589i | ||||
\(869\) | 11.1603 | − | 30.6628i | 0.378588 | − | 1.04016i | ||||
\(870\) | −26.4051 | − | 19.5555i | −0.895217 | − | 0.662994i | ||||
\(871\) | 7.83474 | + | 1.38148i | 0.265470 | + | 0.0468095i | ||||
\(872\) | −7.34359 | + | 11.2554i | −0.248685 | + | 0.381156i | ||||
\(873\) | −43.4749 | − | 26.0866i | −1.47140 | − | 0.882899i | ||||
\(874\) | 22.1429 | − | 12.2534i | 0.748994 | − | 0.414477i | ||||
\(875\) | 8.67534 | − | 3.15756i | 0.293280 | − | 0.106745i | ||||
\(876\) | −28.6267 | + | 26.1725i | −0.967208 | + | 0.884287i | ||||
\(877\) | −36.3911 | + | 30.5358i | −1.22884 | + | 1.03112i | −0.230527 | + | 0.973066i | \(0.574045\pi\) |
−0.998313 | + | 0.0580531i | \(0.981511\pi\) | |||||||
\(878\) | 21.9299 | + | 27.1207i | 0.740100 | + | 0.915279i | ||||
\(879\) | −5.26582 | + | 19.0102i | −0.177612 | + | 0.641199i | ||||
\(880\) | −6.20130 | − | 21.8614i | −0.209046 | − | 0.736948i | ||||
\(881\) | −9.71356 | + | 5.60813i | −0.327258 | + | 0.188943i | −0.654623 | − | 0.755955i | \(-0.727173\pi\) |
0.327365 | + | 0.944898i | \(0.393839\pi\) | |||||||
\(882\) | 10.2110 | − | 25.2652i | 0.343822 | − | 0.850724i | ||||
\(883\) | −7.49573 | − | 4.32766i | −0.252251 | − | 0.145637i | 0.368543 | − | 0.929611i | \(-0.379857\pi\) |
−0.620795 | + | 0.783973i | \(0.713190\pi\) | |||||||
\(884\) | −17.5616 | − | 3.75898i | −0.590659 | − | 0.126428i | ||||
\(885\) | 0.537689 | + | 1.17891i | 0.0180742 | + | 0.0396285i | ||||
\(886\) | 16.4504 | + | 6.32817i | 0.552662 | + | 0.212599i | ||||
\(887\) | −5.65003 | − | 32.0429i | −0.189710 | − | 1.07590i | −0.919754 | − | 0.392496i | \(-0.871612\pi\) |
0.730044 | − | 0.683400i | \(-0.239500\pi\) | |||||||
\(888\) | 7.60137 | − | 13.9389i | 0.255085 | − | 0.467759i | ||||
\(889\) | −5.09518 | − | 4.27536i | −0.170887 | − | 0.143391i | ||||
\(890\) | 1.47094 | + | 0.0267235i | 0.0493060 | + | 0.000895774i | ||||
\(891\) | −4.05712 | − | 28.6171i | −0.135919 | − | 0.958710i | ||||
\(892\) | −1.69786 | + | 46.7120i | −0.0568484 | + | 1.56404i | ||||
\(893\) | −7.93714 | + | 9.45911i | −0.265606 | + | 0.316537i | ||||
\(894\) | 2.27738 | + | 1.13663i | 0.0761669 | + | 0.0380145i | ||||
\(895\) | 13.6018 | − | 2.39837i | 0.454659 | − | 0.0801686i | ||||
\(896\) | −3.93960 | + | 7.63751i | −0.131613 | + | 0.255151i | ||||
\(897\) | −13.5689 | + | 6.18864i | −0.453052 | + | 0.206633i | ||||
\(898\) | 49.2947 | + | 9.61836i | 1.64498 | + | 0.320969i | ||||
\(899\) | −35.8268 | + | 62.0538i | −1.19489 | + | 2.06961i | ||||
\(900\) | 11.1420 | − | 1.35879i | 0.371402 | − | 0.0452929i | ||||
\(901\) | 30.9383 | + | 53.5867i | 1.03070 | + | 1.78523i | ||||
\(902\) | −9.52234 | − | 27.7190i | −0.317059 | − | 0.922943i | ||||
\(903\) | −9.27859 | − | 2.57016i | −0.308772 | − | 0.0855297i | ||||
\(904\) | −15.4468 | − | 20.5901i | −0.513754 | − | 0.684815i | ||||
\(905\) | −3.30647 | − | 3.94050i | −0.109911 | − | 0.130987i | ||||
\(906\) | 25.5605 | + | 26.9573i | 0.849192 | + | 0.895597i | ||||
\(907\) | 13.7943 | + | 37.8996i | 0.458033 | + | 1.25843i | 0.926947 | + | 0.375191i | \(0.122423\pi\) |
−0.468915 | + | 0.883243i | \(0.655355\pi\) | |||||||
\(908\) | 9.94037 | + | 18.7595i | 0.329883 | + | 0.622557i | ||||
\(909\) | 7.98166 | + | 14.3788i | 0.264735 | + | 0.476915i | ||||
\(910\) | 1.37079 | − | 2.27769i | 0.0454411 | − | 0.0755048i | ||||
\(911\) | −8.02183 | + | 45.4941i | −0.265775 | + | 1.50729i | 0.501044 | + | 0.865422i | \(0.332949\pi\) |
−0.766819 | + | 0.641863i | \(0.778162\pi\) | |||||||
\(912\) | −12.8524 | + | 15.5105i | −0.425584 | + | 0.513604i | ||||
\(913\) | 14.9855 | + | 5.45429i | 0.495949 | + | 0.180511i | ||||
\(914\) | −3.68034 | − | 23.3443i | −0.121735 | − | 0.772162i | ||||
\(915\) | −20.1254 | + | 13.8407i | −0.665324 | + | 0.457561i | ||||
\(916\) | −10.3267 | − | 9.32490i | −0.341205 | − | 0.308103i | ||||
\(917\) | − | 5.61196i | − | 0.185323i | ||||||
\(918\) | 47.1232 | − | 2.06657i | 1.55530 | − | 0.0682071i | ||||
\(919\) | 1.23662i | 0.0407922i | 0.999792 | + | 0.0203961i | \(0.00649274\pi\) | ||||
−0.999792 | + | 0.0203961i | \(0.993507\pi\) | |||||||
\(920\) | 21.0502 | − | 22.4770i | 0.694003 | − | 0.741046i | ||||
\(921\) | −2.92820 | − | 37.0633i | −0.0964876 | − | 1.22128i | ||||
\(922\) | −10.2301 | + | 1.61282i | −0.336911 | + | 0.0531154i | ||||
\(923\) | 4.96455 | + | 1.80695i | 0.163410 | + | 0.0594765i | ||||
\(924\) | −8.37675 | − | 1.11239i | −0.275575 | − | 0.0365950i | ||||
\(925\) | −1.05281 | + | 5.97076i | −0.0346160 | + | 0.196317i | ||||
\(926\) | −18.0888 | − | 10.8864i | −0.594436 | − | 0.357750i | ||||
\(927\) | 17.1303 | − | 5.91002i | 0.562634 | − | 0.194111i | ||||
\(928\) | −38.9417 | + | 17.9902i | −1.27832 | + | 0.590558i | ||||
\(929\) | 8.79850 | + | 24.1737i | 0.288669 | + | 0.793112i | 0.996253 | + | 0.0864831i | \(0.0275629\pi\) |
−0.707584 | + | 0.706629i | \(0.750215\pi\) | |||||||
\(930\) | 9.54176 | + | 39.8163i | 0.312887 | + | 1.30563i | ||||
\(931\) | −12.0039 | − | 14.3056i | −0.393410 | − | 0.468848i | ||||
\(932\) | 19.8673 | + | 25.5038i | 0.650775 | + | 0.835404i | ||||
\(933\) | 4.93050 | + | 19.0411i | 0.161417 | + | 0.623378i | ||||
\(934\) | −42.4434 | + | 14.5806i | −1.38879 | + | 0.477093i | ||||
\(935\) | 18.2326 | + | 31.5798i | 0.596271 | + | 1.03277i | ||||
\(936\) | 8.25907 | − | 8.52632i | 0.269956 | − | 0.278691i | ||||
\(937\) | −13.9758 | + | 24.2068i | −0.456569 | + | 0.790801i | −0.998777 | − | 0.0494437i | \(-0.984255\pi\) |
0.542208 | + | 0.840244i | \(0.317588\pi\) | |||||||
\(938\) | −1.16989 | + | 5.99578i | −0.0381984 | + | 0.195769i | ||||
\(939\) | −4.24809 | + | 44.2582i | −0.138631 | + | 1.44431i | ||||
\(940\) | −5.64854 | + | 13.9235i | −0.184235 | + | 0.454134i | ||||
\(941\) | 48.5322 | − | 8.55753i | 1.58210 | − | 0.278968i | 0.687621 | − | 0.726070i | \(-0.258655\pi\) |
0.894483 | + | 0.447103i | \(0.147544\pi\) | |||||||
\(942\) | 19.1482 | − | 1.16327i | 0.623882 | − | 0.0379012i | ||||
\(943\) | 25.5308 | − | 30.4264i | 0.831397 | − | 0.990820i | ||||
\(944\) | 1.68713 | + | 0.122808i | 0.0549115 | + | 0.00399705i | ||||
\(945\) | −1.97692 | + | 6.69623i | −0.0643092 | + | 0.217828i | ||||
\(946\) | 0.603733 | − | 33.2312i | 0.0196291 | − | 1.08044i | ||||
\(947\) | 21.6693 | + | 18.1827i | 0.704158 | + | 0.590858i | 0.922953 | − | 0.384912i | \(-0.125768\pi\) |
−0.218796 | + | 0.975771i | \(0.570213\pi\) | |||||||
\(948\) | −29.7065 | + | 18.8782i | −0.964821 | + | 0.613137i | ||||
\(949\) | −2.72007 | − | 15.4263i | −0.0882971 | − | 0.500758i | ||||
\(950\) | 2.76173 | − | 7.17927i | 0.0896025 | − | 0.232926i | ||||
\(951\) | 25.0414 | − | 35.1292i | 0.812024 | − | 1.13914i | ||||
\(952\) | 3.13087 | − | 13.4303i | 0.101472 | − | 0.435278i | ||||
\(953\) | 18.2626 | + | 10.5439i | 0.591583 | + | 0.341551i | 0.765723 | − | 0.643170i | \(-0.222381\pi\) |
−0.174140 | + | 0.984721i | \(0.555715\pi\) | |||||||
\(954\) | −40.8734 | − | 1.43177i | −1.32332 | − | 0.0463554i | ||||
\(955\) | 24.2626 | − | 14.0080i | 0.785119 | − | 0.453289i | ||||
\(956\) | 43.0640 | − | 13.9245i | 1.39279 | − | 0.450352i | ||||
\(957\) | −29.5738 | − | 30.0763i | −0.955985 | − | 0.972230i | ||||
\(958\) | −14.8534 | + | 12.0106i | −0.479893 | + | 0.388044i | ||||
\(959\) | 3.14872 | − | 2.64209i | 0.101678 | − | 0.0853176i | ||||
\(960\) | −9.07401 | + | 22.7701i | −0.292862 | + | 0.734900i | ||||
\(961\) | 54.7709 | − | 19.9350i | 1.76680 | − | 0.643064i | ||||
\(962\) | 3.10450 | + | 5.61009i | 0.100093 | + | 0.180876i | ||||
\(963\) | −8.10089 | − | 9.99142i | −0.261047 | − | 0.321969i | ||||
\(964\) | 0.228834 | − | 0.365052i | 0.00737024 | − | 0.0117575i | ||||
\(965\) | 22.2180 | + | 3.91764i | 0.715224 | + | 0.126113i | ||||
\(966\) | −4.56201 | − | 10.5037i | −0.146780 | − | 0.337951i | ||||
\(967\) | −3.43633 | + | 9.44123i | −0.110505 | + | 0.303610i | −0.982602 | − | 0.185723i | \(-0.940537\pi\) |
0.872097 | + | 0.489333i | \(0.162760\pi\) | |||||||
\(968\) | 0.232489 | + | 1.92751i | 0.00747247 | + | 0.0619527i | ||||
\(969\) | 13.9072 | − | 29.1797i | 0.446763 | − | 0.937386i | ||||
\(970\) | −27.7605 | + | 31.8889i | −0.891335 | + | 1.02389i | ||||
\(971\) | 38.1342 | 1.22378 | 0.611892 | − | 0.790942i | \(-0.290409\pi\) | ||||
0.611892 | + | 0.790942i | \(0.290409\pi\) | |||||||
\(972\) | −15.3499 | + | 27.1363i | −0.492350 | + | 0.870397i | ||||
\(973\) | −11.0906 | −0.355547 | ||||||||
\(974\) | 19.6730 | − | 22.5986i | 0.630362 | − | 0.724107i | ||||
\(975\) | −1.95027 | + | 4.09200i | −0.0624586 | + | 0.131049i | ||||
\(976\) | 3.24278 | + | 31.7222i | 0.103799 | + | 1.01540i | ||||
\(977\) | −2.05993 | + | 5.65962i | −0.0659031 | + | 0.181067i | −0.968273 | − | 0.249895i | \(-0.919604\pi\) |
0.902370 | + | 0.430963i | \(0.141826\pi\) | |||||||
\(978\) | 14.5116 | + | 33.4119i | 0.464031 | + | 1.06840i | ||||
\(979\) | 1.85990 | + | 0.327950i | 0.0594425 | + | 0.0104813i | ||||
\(980\) | −19.2541 | − | 12.0694i | −0.615048 | − | 0.385544i | ||||
\(981\) | 8.97729 | + | 11.0724i | 0.286623 | + | 0.353513i | ||||
\(982\) | 13.5481 | + | 24.4824i | 0.432336 | + | 0.781266i | ||||
\(983\) | −2.09396 | + | 0.762140i | −0.0667870 | + | 0.0243085i | −0.375198 | − | 0.926945i | \(-0.622425\pi\) |
0.308411 | + | 0.951253i | \(0.400203\pi\) | |||||||
\(984\) | −10.0865 | + | 29.9624i | −0.321544 | + | 0.955166i | ||||
\(985\) | −10.7081 | + | 8.98515i | −0.341188 | + | 0.286291i | ||||
\(986\) | 53.5266 | − | 43.2819i | 1.70463 | − | 1.37838i | ||||
\(987\) | 3.91756 | + | 3.98413i | 0.124697 | + | 0.126816i | ||||
\(988\) | −2.50278 | − | 7.74026i | −0.0796239 | − | 0.246250i | ||||
\(989\) | 39.0071 | − | 22.5208i | 1.24035 | − | 0.716119i | ||||
\(990\) | −24.0876 | − | 0.843776i | −0.765555 | − | 0.0268170i | ||||
\(991\) | 29.4685 | + | 17.0137i | 0.936098 | + | 0.540457i | 0.888735 | − | 0.458421i | \(-0.151585\pi\) |
0.0473631 | + | 0.998878i | \(0.484918\pi\) | |||||||
\(992\) | 51.5814 | + | 14.0183i | 1.63771 | + | 0.445081i | ||||
\(993\) | 31.7216 | − | 44.5004i | 1.00665 | − | 1.41218i | ||||
\(994\) | −1.45651 | + | 3.78628i | −0.0461978 | + | 0.120094i | ||||
\(995\) | 1.19492 | + | 6.77670i | 0.0378814 | + | 0.214836i | ||||
\(996\) | −9.22619 | − | 14.5182i | −0.292343 | − | 0.460026i | ||||
\(997\) | 36.1230 | + | 30.3108i | 1.14403 | + | 0.959953i | 0.999563 | − | 0.0295568i | \(-0.00940960\pi\) |
0.144465 | + | 0.989510i | \(0.453854\pi\) | |||||||
\(998\) | −0.756281 | + | 41.6279i | −0.0239396 | + | 1.31771i | ||||
\(999\) | −11.6029 | − | 12.2048i | −0.367100 | − | 0.386141i |
(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 | 108.2.l.a.11.4 | ✓ | 96 | |
3.2 | odd | 2 | 324.2.l.a.35.13 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.11.13 | yes | 96 | |
9.2 | odd | 6 | 972.2.l.a.755.10 | 96 | |||
9.4 | even | 3 | 972.2.l.c.431.15 | 96 | |||
9.5 | odd | 6 | 972.2.l.b.431.2 | 96 | |||
9.7 | even | 3 | 972.2.l.d.755.7 | 96 | |||
12.11 | even | 2 | 324.2.l.a.35.4 | 96 | |||
27.4 | even | 9 | 972.2.l.a.215.9 | 96 | |||
27.5 | odd | 18 | inner | 108.2.l.a.59.13 | yes | 96 | |
27.13 | even | 9 | 972.2.l.b.539.14 | 96 | |||
27.14 | odd | 18 | 972.2.l.c.539.3 | 96 | |||
27.22 | even | 9 | 324.2.l.a.287.4 | 96 | |||
27.23 | odd | 18 | 972.2.l.d.215.8 | 96 | |||
36.7 | odd | 6 | 972.2.l.d.755.8 | 96 | |||
36.11 | even | 6 | 972.2.l.a.755.9 | 96 | |||
36.23 | even | 6 | 972.2.l.b.431.14 | 96 | |||
36.31 | odd | 6 | 972.2.l.c.431.3 | 96 | |||
108.23 | even | 18 | 972.2.l.d.215.7 | 96 | |||
108.31 | odd | 18 | 972.2.l.a.215.10 | 96 | |||
108.59 | even | 18 | inner | 108.2.l.a.59.4 | yes | 96 | |
108.67 | odd | 18 | 972.2.l.b.539.2 | 96 | |||
108.95 | even | 18 | 972.2.l.c.539.15 | 96 | |||
108.103 | odd | 18 | 324.2.l.a.287.13 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.11.4 | ✓ | 96 | 1.1 | even | 1 | trivial | |
108.2.l.a.11.13 | yes | 96 | 4.3 | odd | 2 | inner | |
108.2.l.a.59.4 | yes | 96 | 108.59 | even | 18 | inner | |
108.2.l.a.59.13 | yes | 96 | 27.5 | odd | 18 | inner | |
324.2.l.a.35.4 | 96 | 12.11 | even | 2 | |||
324.2.l.a.35.13 | 96 | 3.2 | odd | 2 | |||
324.2.l.a.287.4 | 96 | 27.22 | even | 9 | |||
324.2.l.a.287.13 | 96 | 108.103 | odd | 18 | |||
972.2.l.a.215.9 | 96 | 27.4 | even | 9 | |||
972.2.l.a.215.10 | 96 | 108.31 | odd | 18 | |||
972.2.l.a.755.9 | 96 | 36.11 | even | 6 | |||
972.2.l.a.755.10 | 96 | 9.2 | odd | 6 | |||
972.2.l.b.431.2 | 96 | 9.5 | odd | 6 | |||
972.2.l.b.431.14 | 96 | 36.23 | even | 6 | |||
972.2.l.b.539.2 | 96 | 108.67 | odd | 18 | |||
972.2.l.b.539.14 | 96 | 27.13 | even | 9 | |||
972.2.l.c.431.3 | 96 | 36.31 | odd | 6 | |||
972.2.l.c.431.15 | 96 | 9.4 | even | 3 | |||
972.2.l.c.539.3 | 96 | 27.14 | odd | 18 | |||
972.2.l.c.539.15 | 96 | 108.95 | even | 18 | |||
972.2.l.d.215.7 | 96 | 108.23 | even | 18 | |||
972.2.l.d.215.8 | 96 | 27.23 | odd | 18 | |||
972.2.l.d.755.7 | 96 | 9.7 | even | 3 | |||
972.2.l.d.755.8 | 96 | 36.7 | odd | 6 |