Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(79,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.i (of order \(3\), degree \(2\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} + 2x^{2} + 4 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 235.1 | ||
Root | \(-0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 546.235 |
Dual form | 546.2.i.h.79.1 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | −0.500000 | + | 0.866025i | −0.288675 | + | 0.500000i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −0.707107 | − | 1.22474i | −0.316228 | − | 0.547723i | 0.663470 | − | 0.748203i | \(-0.269083\pi\) |
−0.979698 | + | 0.200480i | \(0.935750\pi\) | |||||||
\(6\) | 1.00000 | 0.408248 | ||||||||
\(7\) | −1.62132 | + | 2.09077i | −0.612801 | + | 0.790237i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | −0.707107 | + | 1.22474i | −0.223607 | + | 0.387298i | ||||
\(11\) | 1.20711 | − | 2.09077i | 0.363956 | − | 0.630391i | −0.624652 | − | 0.780903i | \(-0.714759\pi\) |
0.988608 | + | 0.150513i | \(0.0480924\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 1.00000 | 0.277350 | ||||||||
\(14\) | 2.62132 | + | 0.358719i | 0.700577 | + | 0.0958718i | ||||
\(15\) | 1.41421 | 0.365148 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.62132 | − | 2.80821i | 0.393228 | − | 0.681091i | −0.599645 | − | 0.800266i | \(-0.704692\pi\) |
0.992873 | + | 0.119175i | \(0.0380250\pi\) | |||||||
\(18\) | −0.500000 | + | 0.866025i | −0.117851 | + | 0.204124i | ||||
\(19\) | −1.50000 | − | 2.59808i | −0.344124 | − | 0.596040i | 0.641071 | − | 0.767482i | \(-0.278491\pi\) |
−0.985194 | + | 0.171442i | \(0.945157\pi\) | |||||||
\(20\) | 1.41421 | 0.316228 | ||||||||
\(21\) | −1.00000 | − | 2.44949i | −0.218218 | − | 0.534522i | ||||
\(22\) | −2.41421 | −0.514712 | ||||||||
\(23\) | −2.53553 | − | 4.39167i | −0.528695 | − | 0.915727i | −0.999440 | − | 0.0334578i | \(-0.989348\pi\) |
0.470745 | − | 0.882269i | \(-0.343985\pi\) | |||||||
\(24\) | −0.500000 | + | 0.866025i | −0.102062 | + | 0.176777i | ||||
\(25\) | 1.50000 | − | 2.59808i | 0.300000 | − | 0.519615i | ||||
\(26\) | −0.500000 | − | 0.866025i | −0.0980581 | − | 0.169842i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −1.00000 | − | 2.44949i | −0.188982 | − | 0.462910i | ||||
\(29\) | 5.00000 | 0.928477 | 0.464238 | − | 0.885710i | \(-0.346328\pi\) | ||||
0.464238 | + | 0.885710i | \(0.346328\pi\) | |||||||
\(30\) | −0.707107 | − | 1.22474i | −0.129099 | − | 0.223607i | ||||
\(31\) | −0.585786 | + | 1.01461i | −0.105210 | + | 0.182230i | −0.913824 | − | 0.406110i | \(-0.866885\pi\) |
0.808614 | + | 0.588340i | \(0.200218\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 1.20711 | + | 2.09077i | 0.210130 | + | 0.363956i | ||||
\(34\) | −3.24264 | −0.556108 | ||||||||
\(35\) | 3.70711 | + | 0.507306i | 0.626615 | + | 0.0857504i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | −4.53553 | − | 7.85578i | −0.745637 | − | 1.29148i | −0.949896 | − | 0.312565i | \(-0.898812\pi\) |
0.204259 | − | 0.978917i | \(-0.434521\pi\) | |||||||
\(38\) | −1.50000 | + | 2.59808i | −0.243332 | + | 0.421464i | ||||
\(39\) | −0.500000 | + | 0.866025i | −0.0800641 | + | 0.138675i | ||||
\(40\) | −0.707107 | − | 1.22474i | −0.111803 | − | 0.193649i | ||||
\(41\) | 7.41421 | 1.15791 | 0.578953 | − | 0.815361i | \(-0.303462\pi\) | ||||
0.578953 | + | 0.815361i | \(0.303462\pi\) | |||||||
\(42\) | −1.62132 | + | 2.09077i | −0.250175 | + | 0.322613i | ||||
\(43\) | −0.828427 | −0.126334 | −0.0631670 | − | 0.998003i | \(-0.520120\pi\) | ||||
−0.0631670 | + | 0.998003i | \(0.520120\pi\) | |||||||
\(44\) | 1.20711 | + | 2.09077i | 0.181978 | + | 0.315195i | ||||
\(45\) | −0.707107 | + | 1.22474i | −0.105409 | + | 0.182574i | ||||
\(46\) | −2.53553 | + | 4.39167i | −0.373844 | + | 0.647517i | ||||
\(47\) | −4.50000 | − | 7.79423i | −0.656392 | − | 1.13691i | −0.981543 | − | 0.191243i | \(-0.938748\pi\) |
0.325150 | − | 0.945662i | \(-0.394585\pi\) | |||||||
\(48\) | 1.00000 | 0.144338 | ||||||||
\(49\) | −1.74264 | − | 6.77962i | −0.248949 | − | 0.968517i | ||||
\(50\) | −3.00000 | −0.424264 | ||||||||
\(51\) | 1.62132 | + | 2.80821i | 0.227030 | + | 0.393228i | ||||
\(52\) | −0.500000 | + | 0.866025i | −0.0693375 | + | 0.120096i | ||||
\(53\) | 5.15685 | − | 8.93193i | 0.708348 | − | 1.22690i | −0.257121 | − | 0.966379i | \(-0.582774\pi\) |
0.965469 | − | 0.260516i | \(-0.0838928\pi\) | |||||||
\(54\) | −0.500000 | − | 0.866025i | −0.0680414 | − | 0.117851i | ||||
\(55\) | −3.41421 | −0.460372 | ||||||||
\(56\) | −1.62132 | + | 2.09077i | −0.216658 | + | 0.279391i | ||||
\(57\) | 3.00000 | 0.397360 | ||||||||
\(58\) | −2.50000 | − | 4.33013i | −0.328266 | − | 0.568574i | ||||
\(59\) | −5.20711 | + | 9.01897i | −0.677908 | + | 1.17417i | 0.297702 | + | 0.954659i | \(0.403780\pi\) |
−0.975610 | + | 0.219512i | \(0.929554\pi\) | |||||||
\(60\) | −0.707107 | + | 1.22474i | −0.0912871 | + | 0.158114i | ||||
\(61\) | −1.62132 | − | 2.80821i | −0.207589 | − | 0.359554i | 0.743366 | − | 0.668885i | \(-0.233228\pi\) |
−0.950954 | + | 0.309331i | \(0.899895\pi\) | |||||||
\(62\) | 1.17157 | 0.148790 | ||||||||
\(63\) | 2.62132 | + | 0.358719i | 0.330255 | + | 0.0451944i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.707107 | − | 1.22474i | −0.0877058 | − | 0.151911i | ||||
\(66\) | 1.20711 | − | 2.09077i | 0.148585 | − | 0.257356i | ||||
\(67\) | 1.67157 | − | 2.89525i | 0.204215 | − | 0.353711i | −0.745667 | − | 0.666319i | \(-0.767869\pi\) |
0.949882 | + | 0.312608i | \(0.101202\pi\) | |||||||
\(68\) | 1.62132 | + | 2.80821i | 0.196614 | + | 0.340545i | ||||
\(69\) | 5.07107 | 0.610485 | ||||||||
\(70\) | −1.41421 | − | 3.46410i | −0.169031 | − | 0.414039i | ||||
\(71\) | −1.00000 | −0.118678 | −0.0593391 | − | 0.998238i | \(-0.518899\pi\) | ||||
−0.0593391 | + | 0.998238i | \(0.518899\pi\) | |||||||
\(72\) | −0.500000 | − | 0.866025i | −0.0589256 | − | 0.102062i | ||||
\(73\) | −6.53553 | + | 11.3199i | −0.764926 | + | 1.32489i | 0.175359 | + | 0.984505i | \(0.443891\pi\) |
−0.940285 | + | 0.340387i | \(0.889442\pi\) | |||||||
\(74\) | −4.53553 | + | 7.85578i | −0.527245 | + | 0.913215i | ||||
\(75\) | 1.50000 | + | 2.59808i | 0.173205 | + | 0.300000i | ||||
\(76\) | 3.00000 | 0.344124 | ||||||||
\(77\) | 2.41421 | + | 5.91359i | 0.275125 | + | 0.673916i | ||||
\(78\) | 1.00000 | 0.113228 | ||||||||
\(79\) | 4.65685 | + | 8.06591i | 0.523937 | + | 0.907486i | 0.999612 | + | 0.0278643i | \(0.00887063\pi\) |
−0.475675 | + | 0.879621i | \(0.657796\pi\) | |||||||
\(80\) | −0.707107 | + | 1.22474i | −0.0790569 | + | 0.136931i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −3.70711 | − | 6.42090i | −0.409381 | − | 0.709069i | ||||
\(83\) | 3.65685 | 0.401392 | 0.200696 | − | 0.979654i | \(-0.435680\pi\) | ||||
0.200696 | + | 0.979654i | \(0.435680\pi\) | |||||||
\(84\) | 2.62132 | + | 0.358719i | 0.286009 | + | 0.0391395i | ||||
\(85\) | −4.58579 | −0.497398 | ||||||||
\(86\) | 0.414214 | + | 0.717439i | 0.0446658 | + | 0.0773634i | ||||
\(87\) | −2.50000 | + | 4.33013i | −0.268028 | + | 0.464238i | ||||
\(88\) | 1.20711 | − | 2.09077i | 0.128678 | − | 0.222877i | ||||
\(89\) | −1.12132 | − | 1.94218i | −0.118860 | − | 0.205871i | 0.800456 | − | 0.599391i | \(-0.204591\pi\) |
−0.919316 | + | 0.393520i | \(0.871257\pi\) | |||||||
\(90\) | 1.41421 | 0.149071 | ||||||||
\(91\) | −1.62132 | + | 2.09077i | −0.169961 | + | 0.219172i | ||||
\(92\) | 5.07107 | 0.528695 | ||||||||
\(93\) | −0.585786 | − | 1.01461i | −0.0607432 | − | 0.105210i | ||||
\(94\) | −4.50000 | + | 7.79423i | −0.464140 | + | 0.803913i | ||||
\(95\) | −2.12132 | + | 3.67423i | −0.217643 | + | 0.376969i | ||||
\(96\) | −0.500000 | − | 0.866025i | −0.0510310 | − | 0.0883883i | ||||
\(97\) | −11.8995 | −1.20821 | −0.604105 | − | 0.796904i | \(-0.706469\pi\) | ||||
−0.604105 | + | 0.796904i | \(0.706469\pi\) | |||||||
\(98\) | −5.00000 | + | 4.89898i | −0.505076 | + | 0.494872i | ||||
\(99\) | −2.41421 | −0.242638 | ||||||||
\(100\) | 1.50000 | + | 2.59808i | 0.150000 | + | 0.259808i | ||||
\(101\) | 3.41421 | − | 5.91359i | 0.339727 | − | 0.588424i | −0.644654 | − | 0.764474i | \(-0.722999\pi\) |
0.984381 | + | 0.176050i | \(0.0563320\pi\) | |||||||
\(102\) | 1.62132 | − | 2.80821i | 0.160535 | − | 0.278054i | ||||
\(103\) | 5.24264 | + | 9.08052i | 0.516573 | + | 0.894730i | 0.999815 | + | 0.0192435i | \(0.00612576\pi\) |
−0.483242 | + | 0.875487i | \(0.660541\pi\) | |||||||
\(104\) | 1.00000 | 0.0980581 | ||||||||
\(105\) | −2.29289 | + | 2.95680i | −0.223763 | + | 0.288554i | ||||
\(106\) | −10.3137 | −1.00176 | ||||||||
\(107\) | −1.17157 | − | 2.02922i | −0.113260 | − | 0.196172i | 0.803823 | − | 0.594869i | \(-0.202796\pi\) |
−0.917083 | + | 0.398696i | \(0.869463\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | 4.82843 | − | 8.36308i | 0.462479 | − | 0.801038i | −0.536604 | − | 0.843834i | \(-0.680293\pi\) |
0.999084 | + | 0.0427961i | \(0.0136266\pi\) | |||||||
\(110\) | 1.70711 | + | 2.95680i | 0.162766 | + | 0.281919i | ||||
\(111\) | 9.07107 | 0.860988 | ||||||||
\(112\) | 2.62132 | + | 0.358719i | 0.247691 | + | 0.0338958i | ||||
\(113\) | 8.07107 | 0.759262 | 0.379631 | − | 0.925138i | \(-0.376051\pi\) | ||||
0.379631 | + | 0.925138i | \(0.376051\pi\) | |||||||
\(114\) | −1.50000 | − | 2.59808i | −0.140488 | − | 0.243332i | ||||
\(115\) | −3.58579 | + | 6.21076i | −0.334376 | + | 0.579157i | ||||
\(116\) | −2.50000 | + | 4.33013i | −0.232119 | + | 0.402042i | ||||
\(117\) | −0.500000 | − | 0.866025i | −0.0462250 | − | 0.0800641i | ||||
\(118\) | 10.4142 | 0.958706 | ||||||||
\(119\) | 3.24264 | + | 7.94282i | 0.297252 | + | 0.728117i | ||||
\(120\) | 1.41421 | 0.129099 | ||||||||
\(121\) | 2.58579 | + | 4.47871i | 0.235071 | + | 0.407156i | ||||
\(122\) | −1.62132 | + | 2.80821i | −0.146787 | + | 0.254243i | ||||
\(123\) | −3.70711 | + | 6.42090i | −0.334259 | + | 0.578953i | ||||
\(124\) | −0.585786 | − | 1.01461i | −0.0526052 | − | 0.0911148i | ||||
\(125\) | −11.3137 | −1.01193 | ||||||||
\(126\) | −1.00000 | − | 2.44949i | −0.0890871 | − | 0.218218i | ||||
\(127\) | −9.89949 | −0.878438 | −0.439219 | − | 0.898380i | \(-0.644745\pi\) | ||||
−0.439219 | + | 0.898380i | \(0.644745\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 0.414214 | − | 0.717439i | 0.0364695 | − | 0.0631670i | ||||
\(130\) | −0.707107 | + | 1.22474i | −0.0620174 | + | 0.107417i | ||||
\(131\) | 4.94975 | + | 8.57321i | 0.432461 | + | 0.749045i | 0.997085 | − | 0.0763036i | \(-0.0243118\pi\) |
−0.564623 | + | 0.825349i | \(0.690978\pi\) | |||||||
\(132\) | −2.41421 | −0.210130 | ||||||||
\(133\) | 7.86396 | + | 1.07616i | 0.681892 | + | 0.0933148i | ||||
\(134\) | −3.34315 | −0.288804 | ||||||||
\(135\) | −0.707107 | − | 1.22474i | −0.0608581 | − | 0.105409i | ||||
\(136\) | 1.62132 | − | 2.80821i | 0.139027 | − | 0.240802i | ||||
\(137\) | −0.535534 | + | 0.927572i | −0.0457537 | + | 0.0792478i | −0.887995 | − | 0.459852i | \(-0.847902\pi\) |
0.842242 | + | 0.539100i | \(0.181236\pi\) | |||||||
\(138\) | −2.53553 | − | 4.39167i | −0.215839 | − | 0.373844i | ||||
\(139\) | 21.2132 | 1.79928 | 0.899640 | − | 0.436632i | \(-0.143829\pi\) | ||||
0.899640 | + | 0.436632i | \(0.143829\pi\) | |||||||
\(140\) | −2.29289 | + | 2.95680i | −0.193785 | + | 0.249895i | ||||
\(141\) | 9.00000 | 0.757937 | ||||||||
\(142\) | 0.500000 | + | 0.866025i | 0.0419591 | + | 0.0726752i | ||||
\(143\) | 1.20711 | − | 2.09077i | 0.100943 | − | 0.174839i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −3.53553 | − | 6.12372i | −0.293610 | − | 0.508548i | ||||
\(146\) | 13.0711 | 1.08177 | ||||||||
\(147\) | 6.74264 | + | 1.88064i | 0.556124 | + | 0.155112i | ||||
\(148\) | 9.07107 | 0.745637 | ||||||||
\(149\) | 1.94975 | + | 3.37706i | 0.159730 | + | 0.276660i | 0.934771 | − | 0.355251i | \(-0.115604\pi\) |
−0.775042 | + | 0.631910i | \(0.782271\pi\) | |||||||
\(150\) | 1.50000 | − | 2.59808i | 0.122474 | − | 0.212132i | ||||
\(151\) | 5.20711 | − | 9.01897i | 0.423748 | − | 0.733954i | −0.572554 | − | 0.819867i | \(-0.694047\pi\) |
0.996303 | + | 0.0859132i | \(0.0273808\pi\) | |||||||
\(152\) | −1.50000 | − | 2.59808i | −0.121666 | − | 0.210732i | ||||
\(153\) | −3.24264 | −0.262152 | ||||||||
\(154\) | 3.91421 | − | 5.04757i | 0.315416 | − | 0.406744i | ||||
\(155\) | 1.65685 | 0.133082 | ||||||||
\(156\) | −0.500000 | − | 0.866025i | −0.0400320 | − | 0.0693375i | ||||
\(157\) | −11.0355 | + | 19.1141i | −0.880731 | + | 1.52547i | −0.0302023 | + | 0.999544i | \(0.509615\pi\) |
−0.850529 | + | 0.525928i | \(0.823718\pi\) | |||||||
\(158\) | 4.65685 | − | 8.06591i | 0.370479 | − | 0.641689i | ||||
\(159\) | 5.15685 | + | 8.93193i | 0.408965 | + | 0.708348i | ||||
\(160\) | 1.41421 | 0.111803 | ||||||||
\(161\) | 13.2929 | + | 1.81909i | 1.04763 | + | 0.143364i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 5.57107 | + | 9.64937i | 0.436360 | + | 0.755797i | 0.997406 | − | 0.0719876i | \(-0.0229342\pi\) |
−0.561046 | + | 0.827785i | \(0.689601\pi\) | |||||||
\(164\) | −3.70711 | + | 6.42090i | −0.289476 | + | 0.501388i | ||||
\(165\) | 1.70711 | − | 2.95680i | 0.132898 | − | 0.230186i | ||||
\(166\) | −1.82843 | − | 3.16693i | −0.141913 | − | 0.245801i | ||||
\(167\) | −10.3137 | −0.798099 | −0.399049 | − | 0.916929i | \(-0.630660\pi\) | ||||
−0.399049 | + | 0.916929i | \(0.630660\pi\) | |||||||
\(168\) | −1.00000 | − | 2.44949i | −0.0771517 | − | 0.188982i | ||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 2.29289 | + | 3.97141i | 0.175857 | + | 0.304593i | ||||
\(171\) | −1.50000 | + | 2.59808i | −0.114708 | + | 0.198680i | ||||
\(172\) | 0.414214 | − | 0.717439i | 0.0315835 | − | 0.0547042i | ||||
\(173\) | 1.15685 | + | 2.00373i | 0.0879540 | + | 0.152341i | 0.906646 | − | 0.421892i | \(-0.138634\pi\) |
−0.818692 | + | 0.574233i | \(0.805300\pi\) | |||||||
\(174\) | 5.00000 | 0.379049 | ||||||||
\(175\) | 3.00000 | + | 7.34847i | 0.226779 | + | 0.555492i | ||||
\(176\) | −2.41421 | −0.181978 | ||||||||
\(177\) | −5.20711 | − | 9.01897i | −0.391390 | − | 0.677908i | ||||
\(178\) | −1.12132 | + | 1.94218i | −0.0840465 | + | 0.145573i | ||||
\(179\) | 11.8284 | − | 20.4874i | 0.884098 | − | 1.53130i | 0.0373543 | − | 0.999302i | \(-0.488107\pi\) |
0.846744 | − | 0.532001i | \(-0.178560\pi\) | |||||||
\(180\) | −0.707107 | − | 1.22474i | −0.0527046 | − | 0.0912871i | ||||
\(181\) | −14.4142 | −1.07140 | −0.535700 | − | 0.844408i | \(-0.679952\pi\) | ||||
−0.535700 | + | 0.844408i | \(0.679952\pi\) | |||||||
\(182\) | 2.62132 | + | 0.358719i | 0.194305 | + | 0.0265901i | ||||
\(183\) | 3.24264 | 0.239703 | ||||||||
\(184\) | −2.53553 | − | 4.39167i | −0.186922 | − | 0.323758i | ||||
\(185\) | −6.41421 | + | 11.1097i | −0.471582 | + | 0.816805i | ||||
\(186\) | −0.585786 | + | 1.01461i | −0.0429519 | + | 0.0743950i | ||||
\(187\) | −3.91421 | − | 6.77962i | −0.286236 | − | 0.495775i | ||||
\(188\) | 9.00000 | 0.656392 | ||||||||
\(189\) | −1.62132 | + | 2.09077i | −0.117934 | + | 0.152081i | ||||
\(190\) | 4.24264 | 0.307794 | ||||||||
\(191\) | −6.82843 | − | 11.8272i | −0.494088 | − | 0.855785i | 0.505889 | − | 0.862599i | \(-0.331164\pi\) |
−0.999977 | + | 0.00681360i | \(0.997831\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | 12.1213 | − | 20.9947i | 0.872512 | − | 1.51123i | 0.0131218 | − | 0.999914i | \(-0.495823\pi\) |
0.859390 | − | 0.511321i | \(-0.170844\pi\) | |||||||
\(194\) | 5.94975 | + | 10.3053i | 0.427167 | + | 0.739875i | ||||
\(195\) | 1.41421 | 0.101274 | ||||||||
\(196\) | 6.74264 | + | 1.88064i | 0.481617 | + | 0.134331i | ||||
\(197\) | −21.5563 | −1.53583 | −0.767913 | − | 0.640554i | \(-0.778705\pi\) | ||||
−0.767913 | + | 0.640554i | \(0.778705\pi\) | |||||||
\(198\) | 1.20711 | + | 2.09077i | 0.0857853 | + | 0.148585i | ||||
\(199\) | −6.70711 | + | 11.6170i | −0.475454 | + | 0.823511i | −0.999605 | − | 0.0281148i | \(-0.991050\pi\) |
0.524151 | + | 0.851626i | \(0.324383\pi\) | |||||||
\(200\) | 1.50000 | − | 2.59808i | 0.106066 | − | 0.183712i | ||||
\(201\) | 1.67157 | + | 2.89525i | 0.117904 | + | 0.204215i | ||||
\(202\) | −6.82843 | −0.480446 | ||||||||
\(203\) | −8.10660 | + | 10.4539i | −0.568972 | + | 0.733717i | ||||
\(204\) | −3.24264 | −0.227030 | ||||||||
\(205\) | −5.24264 | − | 9.08052i | −0.366162 | − | 0.634211i | ||||
\(206\) | 5.24264 | − | 9.08052i | 0.365272 | − | 0.632670i | ||||
\(207\) | −2.53553 | + | 4.39167i | −0.176232 | + | 0.305242i | ||||
\(208\) | −0.500000 | − | 0.866025i | −0.0346688 | − | 0.0600481i | ||||
\(209\) | −7.24264 | −0.500984 | ||||||||
\(210\) | 3.70711 | + | 0.507306i | 0.255815 | + | 0.0350074i | ||||
\(211\) | 8.38478 | 0.577232 | 0.288616 | − | 0.957445i | \(-0.406805\pi\) | ||||
0.288616 | + | 0.957445i | \(0.406805\pi\) | |||||||
\(212\) | 5.15685 | + | 8.93193i | 0.354174 | + | 0.613448i | ||||
\(213\) | 0.500000 | − | 0.866025i | 0.0342594 | − | 0.0593391i | ||||
\(214\) | −1.17157 | + | 2.02922i | −0.0800871 | + | 0.138715i | ||||
\(215\) | 0.585786 | + | 1.01461i | 0.0399503 | + | 0.0691960i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | −1.17157 | − | 2.86976i | −0.0795315 | − | 0.194812i | ||||
\(218\) | −9.65685 | −0.654045 | ||||||||
\(219\) | −6.53553 | − | 11.3199i | −0.441630 | − | 0.764926i | ||||
\(220\) | 1.70711 | − | 2.95680i | 0.115093 | − | 0.199347i | ||||
\(221\) | 1.62132 | − | 2.80821i | 0.109062 | − | 0.188901i | ||||
\(222\) | −4.53553 | − | 7.85578i | −0.304405 | − | 0.527245i | ||||
\(223\) | −15.3848 | −1.03024 | −0.515120 | − | 0.857118i | \(-0.672253\pi\) | ||||
−0.515120 | + | 0.857118i | \(0.672253\pi\) | |||||||
\(224\) | −1.00000 | − | 2.44949i | −0.0668153 | − | 0.163663i | ||||
\(225\) | −3.00000 | −0.200000 | ||||||||
\(226\) | −4.03553 | − | 6.98975i | −0.268440 | − | 0.464951i | ||||
\(227\) | −1.07107 | + | 1.85514i | −0.0710893 | + | 0.123130i | −0.899379 | − | 0.437170i | \(-0.855981\pi\) |
0.828290 | + | 0.560300i | \(0.189314\pi\) | |||||||
\(228\) | −1.50000 | + | 2.59808i | −0.0993399 | + | 0.172062i | ||||
\(229\) | 6.41421 | + | 11.1097i | 0.423863 | + | 0.734153i | 0.996314 | − | 0.0857869i | \(-0.0273404\pi\) |
−0.572450 | + | 0.819939i | \(0.694007\pi\) | |||||||
\(230\) | 7.17157 | 0.472880 | ||||||||
\(231\) | −6.32843 | − | 0.866025i | −0.416380 | − | 0.0569803i | ||||
\(232\) | 5.00000 | 0.328266 | ||||||||
\(233\) | −10.8640 | − | 18.8169i | −0.711722 | − | 1.23274i | −0.964210 | − | 0.265138i | \(-0.914582\pi\) |
0.252489 | − | 0.967600i | \(-0.418751\pi\) | |||||||
\(234\) | −0.500000 | + | 0.866025i | −0.0326860 | + | 0.0566139i | ||||
\(235\) | −6.36396 | + | 11.0227i | −0.415139 | + | 0.719042i | ||||
\(236\) | −5.20711 | − | 9.01897i | −0.338954 | − | 0.587085i | ||||
\(237\) | −9.31371 | −0.604990 | ||||||||
\(238\) | 5.25736 | − | 6.77962i | 0.340784 | − | 0.439457i | ||||
\(239\) | −19.4853 | −1.26040 | −0.630199 | − | 0.776434i | \(-0.717027\pi\) | ||||
−0.630199 | + | 0.776434i | \(0.717027\pi\) | |||||||
\(240\) | −0.707107 | − | 1.22474i | −0.0456435 | − | 0.0790569i | ||||
\(241\) | −0.242641 | + | 0.420266i | −0.0156299 | + | 0.0270717i | −0.873735 | − | 0.486403i | \(-0.838309\pi\) |
0.858105 | + | 0.513475i | \(0.171642\pi\) | |||||||
\(242\) | 2.58579 | − | 4.47871i | 0.166221 | − | 0.287903i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 3.24264 | 0.207589 | ||||||||
\(245\) | −7.07107 | + | 6.92820i | −0.451754 | + | 0.442627i | ||||
\(246\) | 7.41421 | 0.472713 | ||||||||
\(247\) | −1.50000 | − | 2.59808i | −0.0954427 | − | 0.165312i | ||||
\(248\) | −0.585786 | + | 1.01461i | −0.0371975 | + | 0.0644279i | ||||
\(249\) | −1.82843 | + | 3.16693i | −0.115872 | + | 0.200696i | ||||
\(250\) | 5.65685 | + | 9.79796i | 0.357771 | + | 0.619677i | ||||
\(251\) | 7.17157 | 0.452666 | 0.226333 | − | 0.974050i | \(-0.427326\pi\) | ||||
0.226333 | + | 0.974050i | \(0.427326\pi\) | |||||||
\(252\) | −1.62132 | + | 2.09077i | −0.102134 | + | 0.131706i | ||||
\(253\) | −12.2426 | −0.769688 | ||||||||
\(254\) | 4.94975 | + | 8.57321i | 0.310575 | + | 0.537931i | ||||
\(255\) | 2.29289 | − | 3.97141i | 0.143587 | − | 0.248699i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −8.89949 | − | 15.4144i | −0.555135 | − | 0.961522i | −0.997893 | − | 0.0648812i | \(-0.979333\pi\) |
0.442758 | − | 0.896641i | \(-0.354000\pi\) | |||||||
\(258\) | −0.828427 | −0.0515756 | ||||||||
\(259\) | 23.7782 | + | 3.25397i | 1.47750 | + | 0.202192i | ||||
\(260\) | 1.41421 | 0.0877058 | ||||||||
\(261\) | −2.50000 | − | 4.33013i | −0.154746 | − | 0.268028i | ||||
\(262\) | 4.94975 | − | 8.57321i | 0.305796 | − | 0.529655i | ||||
\(263\) | −11.7782 | + | 20.4004i | −0.726273 | + | 1.25794i | 0.232174 | + | 0.972674i | \(0.425416\pi\) |
−0.958448 | + | 0.285268i | \(0.907917\pi\) | |||||||
\(264\) | 1.20711 | + | 2.09077i | 0.0742923 | + | 0.128678i | ||||
\(265\) | −14.5858 | −0.895998 | ||||||||
\(266\) | −3.00000 | − | 7.34847i | −0.183942 | − | 0.450564i | ||||
\(267\) | 2.24264 | 0.137247 | ||||||||
\(268\) | 1.67157 | + | 2.89525i | 0.102108 | + | 0.176855i | ||||
\(269\) | 13.1569 | − | 22.7883i | 0.802188 | − | 1.38943i | −0.115986 | − | 0.993251i | \(-0.537003\pi\) |
0.918173 | − | 0.396179i | \(-0.129664\pi\) | |||||||
\(270\) | −0.707107 | + | 1.22474i | −0.0430331 | + | 0.0745356i | ||||
\(271\) | −10.6924 | − | 18.5198i | −0.649516 | − | 1.12500i | −0.983239 | − | 0.182324i | \(-0.941638\pi\) |
0.333722 | − | 0.942671i | \(-0.391695\pi\) | |||||||
\(272\) | −3.24264 | −0.196614 | ||||||||
\(273\) | −1.00000 | − | 2.44949i | −0.0605228 | − | 0.148250i | ||||
\(274\) | 1.07107 | 0.0647056 | ||||||||
\(275\) | −3.62132 | − | 6.27231i | −0.218374 | − | 0.378235i | ||||
\(276\) | −2.53553 | + | 4.39167i | −0.152621 | + | 0.264348i | ||||
\(277\) | 6.79289 | − | 11.7656i | 0.408145 | − | 0.706929i | −0.586537 | − | 0.809923i | \(-0.699509\pi\) |
0.994682 | + | 0.102994i | \(0.0328423\pi\) | |||||||
\(278\) | −10.6066 | − | 18.3712i | −0.636142 | − | 1.10183i | ||||
\(279\) | 1.17157 | 0.0701402 | ||||||||
\(280\) | 3.70711 | + | 0.507306i | 0.221542 | + | 0.0303173i | ||||
\(281\) | −15.3137 | −0.913539 | −0.456770 | − | 0.889585i | \(-0.650994\pi\) | ||||
−0.456770 | + | 0.889585i | \(0.650994\pi\) | |||||||
\(282\) | −4.50000 | − | 7.79423i | −0.267971 | − | 0.464140i | ||||
\(283\) | −1.46447 | + | 2.53653i | −0.0870535 | + | 0.150781i | −0.906264 | − | 0.422711i | \(-0.861078\pi\) |
0.819211 | + | 0.573492i | \(0.194412\pi\) | |||||||
\(284\) | 0.500000 | − | 0.866025i | 0.0296695 | − | 0.0513892i | ||||
\(285\) | −2.12132 | − | 3.67423i | −0.125656 | − | 0.217643i | ||||
\(286\) | −2.41421 | −0.142755 | ||||||||
\(287\) | −12.0208 | + | 15.5014i | −0.709566 | + | 0.915020i | ||||
\(288\) | 1.00000 | 0.0589256 | ||||||||
\(289\) | 3.24264 | + | 5.61642i | 0.190744 | + | 0.330378i | ||||
\(290\) | −3.53553 | + | 6.12372i | −0.207614 | + | 0.359597i | ||||
\(291\) | 5.94975 | − | 10.3053i | 0.348780 | − | 0.604105i | ||||
\(292\) | −6.53553 | − | 11.3199i | −0.382463 | − | 0.662446i | ||||
\(293\) | 6.72792 | 0.393049 | 0.196525 | − | 0.980499i | \(-0.437034\pi\) | ||||
0.196525 | + | 0.980499i | \(0.437034\pi\) | |||||||
\(294\) | −1.74264 | − | 6.77962i | −0.101633 | − | 0.395395i | ||||
\(295\) | 14.7279 | 0.857493 | ||||||||
\(296\) | −4.53553 | − | 7.85578i | −0.263623 | − | 0.456608i | ||||
\(297\) | 1.20711 | − | 2.09077i | 0.0700434 | − | 0.121319i | ||||
\(298\) | 1.94975 | − | 3.37706i | 0.112946 | − | 0.195628i | ||||
\(299\) | −2.53553 | − | 4.39167i | −0.146634 | − | 0.253977i | ||||
\(300\) | −3.00000 | −0.173205 | ||||||||
\(301\) | 1.34315 | − | 1.73205i | 0.0774176 | − | 0.0998337i | ||||
\(302\) | −10.4142 | −0.599271 | ||||||||
\(303\) | 3.41421 | + | 5.91359i | 0.196141 | + | 0.339727i | ||||
\(304\) | −1.50000 | + | 2.59808i | −0.0860309 | + | 0.149010i | ||||
\(305\) | −2.29289 | + | 3.97141i | −0.131291 | + | 0.227402i | ||||
\(306\) | 1.62132 | + | 2.80821i | 0.0926847 | + | 0.160535i | ||||
\(307\) | 25.6274 | 1.46263 | 0.731317 | − | 0.682038i | \(-0.238906\pi\) | ||||
0.731317 | + | 0.682038i | \(0.238906\pi\) | |||||||
\(308\) | −6.32843 | − | 0.866025i | −0.360596 | − | 0.0493464i | ||||
\(309\) | −10.4853 | −0.596487 | ||||||||
\(310\) | −0.828427 | − | 1.43488i | −0.0470515 | − | 0.0814956i | ||||
\(311\) | 4.70711 | − | 8.15295i | 0.266916 | − | 0.462311i | −0.701148 | − | 0.713016i | \(-0.747329\pi\) |
0.968064 | + | 0.250704i | \(0.0806622\pi\) | |||||||
\(312\) | −0.500000 | + | 0.866025i | −0.0283069 | + | 0.0490290i | ||||
\(313\) | 5.07107 | + | 8.78335i | 0.286634 | + | 0.496464i | 0.973004 | − | 0.230788i | \(-0.0741304\pi\) |
−0.686370 | + | 0.727252i | \(0.740797\pi\) | |||||||
\(314\) | 22.0711 | 1.24554 | ||||||||
\(315\) | −1.41421 | − | 3.46410i | −0.0796819 | − | 0.195180i | ||||
\(316\) | −9.31371 | −0.523937 | ||||||||
\(317\) | 2.41421 | + | 4.18154i | 0.135596 | + | 0.234859i | 0.925825 | − | 0.377953i | \(-0.123372\pi\) |
−0.790229 | + | 0.612811i | \(0.790038\pi\) | |||||||
\(318\) | 5.15685 | − | 8.93193i | 0.289182 | − | 0.500878i | ||||
\(319\) | 6.03553 | − | 10.4539i | 0.337925 | − | 0.585303i | ||||
\(320\) | −0.707107 | − | 1.22474i | −0.0395285 | − | 0.0684653i | ||||
\(321\) | 2.34315 | 0.130782 | ||||||||
\(322\) | −5.07107 | − | 12.4215i | −0.282600 | − | 0.692225i | ||||
\(323\) | −9.72792 | −0.541276 | ||||||||
\(324\) | −0.500000 | − | 0.866025i | −0.0277778 | − | 0.0481125i | ||||
\(325\) | 1.50000 | − | 2.59808i | 0.0832050 | − | 0.144115i | ||||
\(326\) | 5.57107 | − | 9.64937i | 0.308553 | − | 0.534429i | ||||
\(327\) | 4.82843 | + | 8.36308i | 0.267013 | + | 0.462479i | ||||
\(328\) | 7.41421 | 0.409381 | ||||||||
\(329\) | 23.5919 | + | 3.22848i | 1.30066 | + | 0.177992i | ||||
\(330\) | −3.41421 | −0.187946 | ||||||||
\(331\) | 2.75736 | + | 4.77589i | 0.151558 | + | 0.262506i | 0.931800 | − | 0.362971i | \(-0.118238\pi\) |
−0.780242 | + | 0.625477i | \(0.784904\pi\) | |||||||
\(332\) | −1.82843 | + | 3.16693i | −0.100348 | + | 0.173808i | ||||
\(333\) | −4.53553 | + | 7.85578i | −0.248546 | + | 0.430494i | ||||
\(334\) | 5.15685 | + | 8.93193i | 0.282171 | + | 0.488734i | ||||
\(335\) | −4.72792 | −0.258314 | ||||||||
\(336\) | −1.62132 | + | 2.09077i | −0.0884503 | + | 0.114061i | ||||
\(337\) | 17.3431 | 0.944741 | 0.472371 | − | 0.881400i | \(-0.343398\pi\) | ||||
0.472371 | + | 0.881400i | \(0.343398\pi\) | |||||||
\(338\) | −0.500000 | − | 0.866025i | −0.0271964 | − | 0.0471056i | ||||
\(339\) | −4.03553 | + | 6.98975i | −0.219180 | + | 0.379631i | ||||
\(340\) | 2.29289 | − | 3.97141i | 0.124350 | − | 0.215380i | ||||
\(341\) | 1.41421 | + | 2.44949i | 0.0765840 | + | 0.132647i | ||||
\(342\) | 3.00000 | 0.162221 | ||||||||
\(343\) | 17.0000 | + | 7.34847i | 0.917914 | + | 0.396780i | ||||
\(344\) | −0.828427 | −0.0446658 | ||||||||
\(345\) | −3.58579 | − | 6.21076i | −0.193052 | − | 0.334376i | ||||
\(346\) | 1.15685 | − | 2.00373i | 0.0621929 | − | 0.107721i | ||||
\(347\) | −7.12132 | + | 12.3345i | −0.382293 | + | 0.662150i | −0.991390 | − | 0.130946i | \(-0.958199\pi\) |
0.609097 | + | 0.793096i | \(0.291532\pi\) | |||||||
\(348\) | −2.50000 | − | 4.33013i | −0.134014 | − | 0.232119i | ||||
\(349\) | 2.58579 | 0.138414 | 0.0692070 | − | 0.997602i | \(-0.477953\pi\) | ||||
0.0692070 | + | 0.997602i | \(0.477953\pi\) | |||||||
\(350\) | 4.86396 | − | 6.27231i | 0.259990 | − | 0.335269i | ||||
\(351\) | 1.00000 | 0.0533761 | ||||||||
\(352\) | 1.20711 | + | 2.09077i | 0.0643390 | + | 0.111438i | ||||
\(353\) | 16.3137 | − | 28.2562i | 0.868291 | − | 1.50392i | 0.00454930 | − | 0.999990i | \(-0.498552\pi\) |
0.863742 | − | 0.503935i | \(-0.168115\pi\) | |||||||
\(354\) | −5.20711 | + | 9.01897i | −0.276755 | + | 0.479353i | ||||
\(355\) | 0.707107 | + | 1.22474i | 0.0375293 | + | 0.0650027i | ||||
\(356\) | 2.24264 | 0.118860 | ||||||||
\(357\) | −8.50000 | − | 1.16320i | −0.449868 | − | 0.0615630i | ||||
\(358\) | −23.6569 | −1.25030 | ||||||||
\(359\) | −17.7279 | − | 30.7057i | −0.935644 | − | 1.62058i | −0.773482 | − | 0.633819i | \(-0.781487\pi\) |
−0.162162 | − | 0.986764i | \(-0.551847\pi\) | |||||||
\(360\) | −0.707107 | + | 1.22474i | −0.0372678 | + | 0.0645497i | ||||
\(361\) | 5.00000 | − | 8.66025i | 0.263158 | − | 0.455803i | ||||
\(362\) | 7.20711 | + | 12.4831i | 0.378797 | + | 0.656096i | ||||
\(363\) | −5.17157 | −0.271437 | ||||||||
\(364\) | −1.00000 | − | 2.44949i | −0.0524142 | − | 0.128388i | ||||
\(365\) | 18.4853 | 0.967564 | ||||||||
\(366\) | −1.62132 | − | 2.80821i | −0.0847478 | − | 0.146787i | ||||
\(367\) | −7.00000 | + | 12.1244i | −0.365397 | + | 0.632886i | −0.988840 | − | 0.148983i | \(-0.952400\pi\) |
0.623443 | + | 0.781869i | \(0.285733\pi\) | |||||||
\(368\) | −2.53553 | + | 4.39167i | −0.132174 | + | 0.228932i | ||||
\(369\) | −3.70711 | − | 6.42090i | −0.192984 | − | 0.334259i | ||||
\(370\) | 12.8284 | 0.666918 | ||||||||
\(371\) | 10.3137 | + | 25.2633i | 0.535461 | + | 1.31161i | ||||
\(372\) | 1.17157 | 0.0607432 | ||||||||
\(373\) | 15.4497 | + | 26.7597i | 0.799958 | + | 1.38557i | 0.919643 | + | 0.392755i | \(0.128478\pi\) |
−0.119685 | + | 0.992812i | \(0.538189\pi\) | |||||||
\(374\) | −3.91421 | + | 6.77962i | −0.202399 | + | 0.350566i | ||||
\(375\) | 5.65685 | − | 9.79796i | 0.292119 | − | 0.505964i | ||||
\(376\) | −4.50000 | − | 7.79423i | −0.232070 | − | 0.401957i | ||||
\(377\) | 5.00000 | 0.257513 | ||||||||
\(378\) | 2.62132 | + | 0.358719i | 0.134826 | + | 0.0184505i | ||||
\(379\) | −22.3431 | −1.14769 | −0.573845 | − | 0.818964i | \(-0.694549\pi\) | ||||
−0.573845 | + | 0.818964i | \(0.694549\pi\) | |||||||
\(380\) | −2.12132 | − | 3.67423i | −0.108821 | − | 0.188484i | ||||
\(381\) | 4.94975 | − | 8.57321i | 0.253583 | − | 0.439219i | ||||
\(382\) | −6.82843 | + | 11.8272i | −0.349373 | + | 0.605131i | ||||
\(383\) | 5.24264 | + | 9.08052i | 0.267886 | + | 0.463993i | 0.968316 | − | 0.249729i | \(-0.0803415\pi\) |
−0.700429 | + | 0.713722i | \(0.747008\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | 5.53553 | − | 7.13834i | 0.282117 | − | 0.363803i | ||||
\(386\) | −24.2426 | −1.23392 | ||||||||
\(387\) | 0.414214 | + | 0.717439i | 0.0210557 | + | 0.0364695i | ||||
\(388\) | 5.94975 | − | 10.3053i | 0.302053 | − | 0.523171i | ||||
\(389\) | −11.5000 | + | 19.9186i | −0.583073 | + | 1.00991i | 0.412039 | + | 0.911166i | \(0.364817\pi\) |
−0.995113 | + | 0.0987463i | \(0.968517\pi\) | |||||||
\(390\) | −0.707107 | − | 1.22474i | −0.0358057 | − | 0.0620174i | ||||
\(391\) | −16.4437 | −0.831591 | ||||||||
\(392\) | −1.74264 | − | 6.77962i | −0.0880166 | − | 0.342422i | ||||
\(393\) | −9.89949 | −0.499363 | ||||||||
\(394\) | 10.7782 | + | 18.6683i | 0.542997 | + | 0.940498i | ||||
\(395\) | 6.58579 | − | 11.4069i | 0.331367 | − | 0.573944i | ||||
\(396\) | 1.20711 | − | 2.09077i | 0.0606594 | − | 0.105065i | ||||
\(397\) | 14.1213 | + | 24.4588i | 0.708729 | + | 1.22755i | 0.965329 | + | 0.261037i | \(0.0840643\pi\) |
−0.256600 | + | 0.966518i | \(0.582602\pi\) | |||||||
\(398\) | 13.4142 | 0.672394 | ||||||||
\(399\) | −4.86396 | + | 6.27231i | −0.243503 | + | 0.314008i | ||||
\(400\) | −3.00000 | −0.150000 | ||||||||
\(401\) | −2.46447 | − | 4.26858i | −0.123070 | − | 0.213163i | 0.797907 | − | 0.602780i | \(-0.205940\pi\) |
−0.920977 | + | 0.389618i | \(0.872607\pi\) | |||||||
\(402\) | 1.67157 | − | 2.89525i | 0.0833705 | − | 0.144402i | ||||
\(403\) | −0.585786 | + | 1.01461i | −0.0291801 | + | 0.0505414i | ||||
\(404\) | 3.41421 | + | 5.91359i | 0.169863 | + | 0.294212i | ||||
\(405\) | 1.41421 | 0.0702728 | ||||||||
\(406\) | 13.1066 | + | 1.79360i | 0.650470 | + | 0.0890147i | ||||
\(407\) | −21.8995 | −1.08552 | ||||||||
\(408\) | 1.62132 | + | 2.80821i | 0.0802673 | + | 0.139027i | ||||
\(409\) | 2.70711 | − | 4.68885i | 0.133858 | − | 0.231849i | −0.791303 | − | 0.611425i | \(-0.790597\pi\) |
0.925161 | + | 0.379576i | \(0.123930\pi\) | |||||||
\(410\) | −5.24264 | + | 9.08052i | −0.258916 | + | 0.448455i | ||||
\(411\) | −0.535534 | − | 0.927572i | −0.0264159 | − | 0.0457537i | ||||
\(412\) | −10.4853 | −0.516573 | ||||||||
\(413\) | −10.4142 | − | 25.5095i | −0.512450 | − | 1.25524i | ||||
\(414\) | 5.07107 | 0.249229 | ||||||||
\(415\) | −2.58579 | − | 4.47871i | −0.126931 | − | 0.219851i | ||||
\(416\) | −0.500000 | + | 0.866025i | −0.0245145 | + | 0.0424604i | ||||
\(417\) | −10.6066 | + | 18.3712i | −0.519408 | + | 0.899640i | ||||
\(418\) | 3.62132 | + | 6.27231i | 0.177125 | + | 0.306789i | ||||
\(419\) | 23.4558 | 1.14589 | 0.572946 | − | 0.819593i | \(-0.305800\pi\) | ||||
0.572946 | + | 0.819593i | \(0.305800\pi\) | |||||||
\(420\) | −1.41421 | − | 3.46410i | −0.0690066 | − | 0.169031i | ||||
\(421\) | 13.4142 | 0.653769 | 0.326884 | − | 0.945064i | \(-0.394001\pi\) | ||||
0.326884 | + | 0.945064i | \(0.394001\pi\) | |||||||
\(422\) | −4.19239 | − | 7.26143i | −0.204082 | − | 0.353481i | ||||
\(423\) | −4.50000 | + | 7.79423i | −0.218797 | + | 0.378968i | ||||
\(424\) | 5.15685 | − | 8.93193i | 0.250439 | − | 0.433773i | ||||
\(425\) | −4.86396 | − | 8.42463i | −0.235937 | − | 0.408654i | ||||
\(426\) | −1.00000 | −0.0484502 | ||||||||
\(427\) | 8.50000 | + | 1.16320i | 0.411344 | + | 0.0562911i | ||||
\(428\) | 2.34315 | 0.113260 | ||||||||
\(429\) | 1.20711 | + | 2.09077i | 0.0582797 | + | 0.100943i | ||||
\(430\) | 0.585786 | − | 1.01461i | 0.0282491 | − | 0.0489289i | ||||
\(431\) | 1.24264 | − | 2.15232i | 0.0598559 | − | 0.103673i | −0.834545 | − | 0.550940i | \(-0.814269\pi\) |
0.894401 | + | 0.447267i | \(0.147603\pi\) | |||||||
\(432\) | −0.500000 | − | 0.866025i | −0.0240563 | − | 0.0416667i | ||||
\(433\) | −19.0000 | −0.913082 | −0.456541 | − | 0.889702i | \(-0.650912\pi\) | ||||
−0.456541 | + | 0.889702i | \(0.650912\pi\) | |||||||
\(434\) | −1.89949 | + | 2.44949i | −0.0911787 | + | 0.117579i | ||||
\(435\) | 7.07107 | 0.339032 | ||||||||
\(436\) | 4.82843 | + | 8.36308i | 0.231240 | + | 0.400519i | ||||
\(437\) | −7.60660 | + | 13.1750i | −0.363873 | + | 0.630247i | ||||
\(438\) | −6.53553 | + | 11.3199i | −0.312280 | + | 0.540885i | ||||
\(439\) | 6.70711 | + | 11.6170i | 0.320113 | + | 0.554452i | 0.980511 | − | 0.196464i | \(-0.0629459\pi\) |
−0.660398 | + | 0.750915i | \(0.729613\pi\) | |||||||
\(440\) | −3.41421 | −0.162766 | ||||||||
\(441\) | −5.00000 | + | 4.89898i | −0.238095 | + | 0.233285i | ||||
\(442\) | −3.24264 | −0.154237 | ||||||||
\(443\) | 1.36396 | + | 2.36245i | 0.0648037 | + | 0.112243i | 0.896607 | − | 0.442827i | \(-0.146025\pi\) |
−0.831803 | + | 0.555071i | \(0.812691\pi\) | |||||||
\(444\) | −4.53553 | + | 7.85578i | −0.215247 | + | 0.372819i | ||||
\(445\) | −1.58579 | + | 2.74666i | −0.0751735 | + | 0.130204i | ||||
\(446\) | 7.69239 | + | 13.3236i | 0.364245 | + | 0.630891i | ||||
\(447\) | −3.89949 | −0.184440 | ||||||||
\(448\) | −1.62132 | + | 2.09077i | −0.0766002 | + | 0.0987796i | ||||
\(449\) | 33.9411 | 1.60178 | 0.800890 | − | 0.598811i | \(-0.204360\pi\) | ||||
0.800890 | + | 0.598811i | \(0.204360\pi\) | |||||||
\(450\) | 1.50000 | + | 2.59808i | 0.0707107 | + | 0.122474i | ||||
\(451\) | 8.94975 | − | 15.5014i | 0.421427 | − | 0.729933i | ||||
\(452\) | −4.03553 | + | 6.98975i | −0.189816 | + | 0.328770i | ||||
\(453\) | 5.20711 | + | 9.01897i | 0.244651 | + | 0.423748i | ||||
\(454\) | 2.14214 | 0.100535 | ||||||||
\(455\) | 3.70711 | + | 0.507306i | 0.173792 | + | 0.0237829i | ||||
\(456\) | 3.00000 | 0.140488 | ||||||||
\(457\) | −13.6066 | − | 23.5673i | −0.636490 | − | 1.10243i | −0.986197 | − | 0.165574i | \(-0.947052\pi\) |
0.349707 | − | 0.936859i | \(-0.386281\pi\) | |||||||
\(458\) | 6.41421 | − | 11.1097i | 0.299717 | − | 0.519124i | ||||
\(459\) | 1.62132 | − | 2.80821i | 0.0756768 | − | 0.131076i | ||||
\(460\) | −3.58579 | − | 6.21076i | −0.167188 | − | 0.289578i | ||||
\(461\) | 17.4558 | 0.813000 | 0.406500 | − | 0.913651i | \(-0.366749\pi\) | ||||
0.406500 | + | 0.913651i | \(0.366749\pi\) | |||||||
\(462\) | 2.41421 | + | 5.91359i | 0.112319 | + | 0.275125i | ||||
\(463\) | 29.9411 | 1.39148 | 0.695741 | − | 0.718293i | \(-0.255076\pi\) | ||||
0.695741 | + | 0.718293i | \(0.255076\pi\) | |||||||
\(464\) | −2.50000 | − | 4.33013i | −0.116060 | − | 0.201021i | ||||
\(465\) | −0.828427 | + | 1.43488i | −0.0384174 | + | 0.0665409i | ||||
\(466\) | −10.8640 | + | 18.8169i | −0.503263 | + | 0.871678i | ||||
\(467\) | −4.12132 | − | 7.13834i | −0.190712 | − | 0.330323i | 0.754774 | − | 0.655984i | \(-0.227746\pi\) |
−0.945486 | + | 0.325662i | \(0.894413\pi\) | |||||||
\(468\) | 1.00000 | 0.0462250 | ||||||||
\(469\) | 3.34315 | + | 8.18900i | 0.154372 | + | 0.378133i | ||||
\(470\) | 12.7279 | 0.587095 | ||||||||
\(471\) | −11.0355 | − | 19.1141i | −0.508491 | − | 0.880731i | ||||
\(472\) | −5.20711 | + | 9.01897i | −0.239677 | + | 0.415132i | ||||
\(473\) | −1.00000 | + | 1.73205i | −0.0459800 | + | 0.0796398i | ||||
\(474\) | 4.65685 | + | 8.06591i | 0.213896 | + | 0.370479i | ||||
\(475\) | −9.00000 | −0.412948 | ||||||||
\(476\) | −8.50000 | − | 1.16320i | −0.389597 | − | 0.0533151i | ||||
\(477\) | −10.3137 | −0.472232 | ||||||||
\(478\) | 9.74264 | + | 16.8747i | 0.445618 | + | 0.771833i | ||||
\(479\) | 1.42893 | − | 2.47498i | 0.0652896 | − | 0.113085i | −0.831533 | − | 0.555476i | \(-0.812536\pi\) |
0.896822 | + | 0.442391i | \(0.145870\pi\) | |||||||
\(480\) | −0.707107 | + | 1.22474i | −0.0322749 | + | 0.0559017i | ||||
\(481\) | −4.53553 | − | 7.85578i | −0.206803 | − | 0.358193i | ||||
\(482\) | 0.485281 | 0.0221040 | ||||||||
\(483\) | −8.22183 | + | 10.6024i | −0.374106 | + | 0.482428i | ||||
\(484\) | −5.17157 | −0.235071 | ||||||||
\(485\) | 8.41421 | + | 14.5738i | 0.382070 | + | 0.661764i | ||||
\(486\) | −0.500000 | + | 0.866025i | −0.0226805 | + | 0.0392837i | ||||
\(487\) | −0.863961 | + | 1.49642i | −0.0391498 | + | 0.0678095i | −0.884936 | − | 0.465712i | \(-0.845798\pi\) |
0.845787 | + | 0.533521i | \(0.179132\pi\) | |||||||
\(488\) | −1.62132 | − | 2.80821i | −0.0733937 | − | 0.127122i | ||||
\(489\) | −11.1421 | −0.503865 | ||||||||
\(490\) | 9.53553 | + | 2.65962i | 0.430772 | + | 0.120150i | ||||
\(491\) | 30.2843 | 1.36671 | 0.683355 | − | 0.730086i | \(-0.260520\pi\) | ||||
0.683355 | + | 0.730086i | \(0.260520\pi\) | |||||||
\(492\) | −3.70711 | − | 6.42090i | −0.167129 | − | 0.289476i | ||||
\(493\) | 8.10660 | − | 14.0410i | 0.365103 | − | 0.632377i | ||||
\(494\) | −1.50000 | + | 2.59808i | −0.0674882 | + | 0.116893i | ||||
\(495\) | 1.70711 | + | 2.95680i | 0.0767287 | + | 0.132898i | ||||
\(496\) | 1.17157 | 0.0526052 | ||||||||
\(497\) | 1.62132 | − | 2.09077i | 0.0727262 | − | 0.0937839i | ||||
\(498\) | 3.65685 | 0.163868 | ||||||||
\(499\) | 15.0000 | + | 25.9808i | 0.671492 | + | 1.16306i | 0.977481 | + | 0.211024i | \(0.0676797\pi\) |
−0.305989 | + | 0.952035i | \(0.598987\pi\) | |||||||
\(500\) | 5.65685 | − | 9.79796i | 0.252982 | − | 0.438178i | ||||
\(501\) | 5.15685 | − | 8.93193i | 0.230391 | − | 0.399049i | ||||
\(502\) | −3.58579 | − | 6.21076i | −0.160041 | − | 0.277200i | ||||
\(503\) | −3.79899 | −0.169389 | −0.0846943 | − | 0.996407i | \(-0.526991\pi\) | ||||
−0.0846943 | + | 0.996407i | \(0.526991\pi\) | |||||||
\(504\) | 2.62132 | + | 0.358719i | 0.116763 | + | 0.0159786i | ||||
\(505\) | −9.65685 | −0.429724 | ||||||||
\(506\) | 6.12132 | + | 10.6024i | 0.272126 | + | 0.471336i | ||||
\(507\) | −0.500000 | + | 0.866025i | −0.0222058 | + | 0.0384615i | ||||
\(508\) | 4.94975 | − | 8.57321i | 0.219610 | − | 0.380375i | ||||
\(509\) | 10.4853 | + | 18.1610i | 0.464752 | + | 0.804974i | 0.999190 | − | 0.0402335i | \(-0.0128102\pi\) |
−0.534438 | + | 0.845207i | \(0.679477\pi\) | |||||||
\(510\) | −4.58579 | −0.203062 | ||||||||
\(511\) | −13.0711 | − | 32.0174i | −0.578230 | − | 1.41637i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −1.50000 | − | 2.59808i | −0.0662266 | − | 0.114708i | ||||
\(514\) | −8.89949 | + | 15.4144i | −0.392540 | + | 0.679899i | ||||
\(515\) | 7.41421 | − | 12.8418i | 0.326709 | − | 0.565877i | ||||
\(516\) | 0.414214 | + | 0.717439i | 0.0182347 | + | 0.0315835i | ||||
\(517\) | −21.7279 | −0.955593 | ||||||||
\(518\) | −9.07107 | − | 22.2195i | −0.398560 | − | 0.976268i | ||||
\(519\) | −2.31371 | −0.101561 | ||||||||
\(520\) | −0.707107 | − | 1.22474i | −0.0310087 | − | 0.0537086i | ||||
\(521\) | 7.00000 | − | 12.1244i | 0.306676 | − | 0.531178i | −0.670957 | − | 0.741496i | \(-0.734117\pi\) |
0.977633 | + | 0.210318i | \(0.0674500\pi\) | |||||||
\(522\) | −2.50000 | + | 4.33013i | −0.109422 | + | 0.189525i | ||||
\(523\) | 16.0711 | + | 27.8359i | 0.702739 | + | 1.21718i | 0.967501 | + | 0.252866i | \(0.0813730\pi\) |
−0.264763 | + | 0.964314i | \(0.585294\pi\) | |||||||
\(524\) | −9.89949 | −0.432461 | ||||||||
\(525\) | −7.86396 | − | 1.07616i | −0.343211 | − | 0.0469674i | ||||
\(526\) | 23.5563 | 1.02711 | ||||||||
\(527\) | 1.89949 | + | 3.29002i | 0.0827433 | + | 0.143316i | ||||
\(528\) | 1.20711 | − | 2.09077i | 0.0525326 | − | 0.0909891i | ||||
\(529\) | −1.35786 | + | 2.35189i | −0.0590376 | + | 0.102256i | ||||
\(530\) | 7.29289 | + | 12.6317i | 0.316783 | + | 0.548684i | ||||
\(531\) | 10.4142 | 0.451938 | ||||||||
\(532\) | −4.86396 | + | 6.27231i | −0.210879 | + | 0.271939i | ||||
\(533\) | 7.41421 | 0.321145 | ||||||||
\(534\) | −1.12132 | − | 1.94218i | −0.0485243 | − | 0.0840465i | ||||
\(535\) | −1.65685 | + | 2.86976i | −0.0716321 | + | 0.124070i | ||||
\(536\) | 1.67157 | − | 2.89525i | 0.0722010 | − | 0.125056i | ||||
\(537\) | 11.8284 | + | 20.4874i | 0.510434 | + | 0.884098i | ||||
\(538\) | −26.3137 | −1.13446 | ||||||||
\(539\) | −16.2782 | − | 4.54026i | −0.701151 | − | 0.195563i | ||||
\(540\) | 1.41421 | 0.0608581 | ||||||||
\(541\) | 20.4350 | + | 35.3945i | 0.878571 | + | 1.52173i | 0.852910 | + | 0.522058i | \(0.174836\pi\) |
0.0256606 | + | 0.999671i | \(0.491831\pi\) | |||||||
\(542\) | −10.6924 | + | 18.5198i | −0.459277 | + | 0.795492i | ||||
\(543\) | 7.20711 | − | 12.4831i | 0.309287 | − | 0.535700i | ||||
\(544\) | 1.62132 | + | 2.80821i | 0.0695135 | + | 0.120401i | ||||
\(545\) | −13.6569 | −0.584995 | ||||||||
\(546\) | −1.62132 | + | 2.09077i | −0.0693861 | + | 0.0894767i | ||||
\(547\) | −14.2426 | −0.608971 | −0.304486 | − | 0.952517i | \(-0.598485\pi\) | ||||
−0.304486 | + | 0.952517i | \(0.598485\pi\) | |||||||
\(548\) | −0.535534 | − | 0.927572i | −0.0228769 | − | 0.0396239i | ||||
\(549\) | −1.62132 | + | 2.80821i | −0.0691963 | + | 0.119851i | ||||
\(550\) | −3.62132 | + | 6.27231i | −0.154414 | + | 0.267452i | ||||
\(551\) | −7.50000 | − | 12.9904i | −0.319511 | − | 0.553409i | ||||
\(552\) | 5.07107 | 0.215839 | ||||||||
\(553\) | −24.4142 | − | 3.34101i | −1.03820 | − | 0.142074i | ||||
\(554\) | −13.5858 | −0.577205 | ||||||||
\(555\) | −6.41421 | − | 11.1097i | −0.272268 | − | 0.471582i | ||||
\(556\) | −10.6066 | + | 18.3712i | −0.449820 | + | 0.779111i | ||||
\(557\) | −11.4853 | + | 19.8931i | −0.486647 | + | 0.842897i | −0.999882 | − | 0.0153507i | \(-0.995114\pi\) |
0.513235 | + | 0.858248i | \(0.328447\pi\) | |||||||
\(558\) | −0.585786 | − | 1.01461i | −0.0247983 | − | 0.0429519i | ||||
\(559\) | −0.828427 | −0.0350387 | ||||||||
\(560\) | −1.41421 | − | 3.46410i | −0.0597614 | − | 0.146385i | ||||
\(561\) | 7.82843 | 0.330516 | ||||||||
\(562\) | 7.65685 | + | 13.2621i | 0.322985 | + | 0.559426i | ||||
\(563\) | −8.24264 | + | 14.2767i | −0.347386 | + | 0.601690i | −0.985784 | − | 0.168016i | \(-0.946264\pi\) |
0.638398 | + | 0.769706i | \(0.279597\pi\) | |||||||
\(564\) | −4.50000 | + | 7.79423i | −0.189484 | + | 0.328196i | ||||
\(565\) | −5.70711 | − | 9.88500i | −0.240100 | − | 0.415865i | ||||
\(566\) | 2.92893 | 0.123112 | ||||||||
\(567\) | −1.00000 | − | 2.44949i | −0.0419961 | − | 0.102869i | ||||
\(568\) | −1.00000 | −0.0419591 | ||||||||
\(569\) | 14.2071 | + | 24.6074i | 0.595593 | + | 1.03160i | 0.993463 | + | 0.114155i | \(0.0364162\pi\) |
−0.397870 | + | 0.917442i | \(0.630250\pi\) | |||||||
\(570\) | −2.12132 | + | 3.67423i | −0.0888523 | + | 0.153897i | ||||
\(571\) | −4.82843 | + | 8.36308i | −0.202063 | + | 0.349984i | −0.949193 | − | 0.314694i | \(-0.898098\pi\) |
0.747130 | + | 0.664678i | \(0.231431\pi\) | |||||||
\(572\) | 1.20711 | + | 2.09077i | 0.0504717 | + | 0.0874195i | ||||
\(573\) | 13.6569 | 0.570523 | ||||||||
\(574\) | 19.4350 | + | 2.65962i | 0.811202 | + | 0.111011i | ||||
\(575\) | −15.2132 | −0.634434 | ||||||||
\(576\) | −0.500000 | − | 0.866025i | −0.0208333 | − | 0.0360844i | ||||
\(577\) | 9.00000 | − | 15.5885i | 0.374675 | − | 0.648956i | −0.615603 | − | 0.788056i | \(-0.711088\pi\) |
0.990278 | + | 0.139100i | \(0.0444210\pi\) | |||||||
\(578\) | 3.24264 | − | 5.61642i | 0.134876 | − | 0.233612i | ||||
\(579\) | 12.1213 | + | 20.9947i | 0.503745 | + | 0.872512i | ||||
\(580\) | 7.07107 | 0.293610 | ||||||||
\(581\) | −5.92893 | + | 7.64564i | −0.245974 | + | 0.317195i | ||||
\(582\) | −11.8995 | −0.493250 | ||||||||
\(583\) | −12.4497 | − | 21.5636i | −0.515616 | − | 0.893073i | ||||
\(584\) | −6.53553 | + | 11.3199i | −0.270442 | + | 0.468420i | ||||
\(585\) | −0.707107 | + | 1.22474i | −0.0292353 | + | 0.0506370i | ||||
\(586\) | −3.36396 | − | 5.82655i | −0.138964 | − | 0.240693i | ||||
\(587\) | 2.75736 | 0.113808 | 0.0569042 | − | 0.998380i | \(-0.481877\pi\) | ||||
0.0569042 | + | 0.998380i | \(0.481877\pi\) | |||||||
\(588\) | −5.00000 | + | 4.89898i | −0.206197 | + | 0.202031i | ||||
\(589\) | 3.51472 | 0.144821 | ||||||||
\(590\) | −7.36396 | − | 12.7548i | −0.303169 | − | 0.525105i | ||||
\(591\) | 10.7782 | − | 18.6683i | 0.443355 | − | 0.767913i | ||||
\(592\) | −4.53553 | + | 7.85578i | −0.186409 | + | 0.322870i | ||||
\(593\) | 15.7071 | + | 27.2055i | 0.645014 | + | 1.11720i | 0.984298 | + | 0.176513i | \(0.0564816\pi\) |
−0.339285 | + | 0.940684i | \(0.610185\pi\) | |||||||
\(594\) | −2.41421 | −0.0990564 | ||||||||
\(595\) | 7.43503 | − | 9.58783i | 0.304806 | − | 0.393063i | ||||
\(596\) | −3.89949 | −0.159730 | ||||||||
\(597\) | −6.70711 | − | 11.6170i | −0.274504 | − | 0.475454i | ||||
\(598\) | −2.53553 | + | 4.39167i | −0.103686 | + | 0.179589i | ||||
\(599\) | −19.4350 | + | 33.6625i | −0.794094 | + | 1.37541i | 0.129319 | + | 0.991603i | \(0.458721\pi\) |
−0.923413 | + | 0.383808i | \(0.874613\pi\) | |||||||
\(600\) | 1.50000 | + | 2.59808i | 0.0612372 | + | 0.106066i | ||||
\(601\) | −12.1716 | −0.496489 | −0.248244 | − | 0.968697i | \(-0.579854\pi\) | ||||
−0.248244 | + | 0.968697i | \(0.579854\pi\) | |||||||
\(602\) | −2.17157 | − | 0.297173i | −0.0885067 | − | 0.0121119i | ||||
\(603\) | −3.34315 | −0.136143 | ||||||||
\(604\) | 5.20711 | + | 9.01897i | 0.211874 | + | 0.366977i | ||||
\(605\) | 3.65685 | − | 6.33386i | 0.148672 | − | 0.257508i | ||||
\(606\) | 3.41421 | − | 5.91359i | 0.138693 | − | 0.240223i | ||||
\(607\) | −6.46447 | − | 11.1968i | −0.262385 | − | 0.454463i | 0.704491 | − | 0.709713i | \(-0.251176\pi\) |
−0.966875 | + | 0.255250i | \(0.917842\pi\) | |||||||
\(608\) | 3.00000 | 0.121666 | ||||||||
\(609\) | −5.00000 | − | 12.2474i | −0.202610 | − | 0.496292i | ||||
\(610\) | 4.58579 | 0.185673 | ||||||||
\(611\) | −4.50000 | − | 7.79423i | −0.182051 | − | 0.315321i | ||||
\(612\) | 1.62132 | − | 2.80821i | 0.0655380 | − | 0.113515i | ||||
\(613\) | −1.89949 | + | 3.29002i | −0.0767199 | + | 0.132883i | −0.901833 | − | 0.432085i | \(-0.857778\pi\) |
0.825113 | + | 0.564968i | \(0.191111\pi\) | |||||||
\(614\) | −12.8137 | − | 22.1940i | −0.517119 | − | 0.895677i | ||||
\(615\) | 10.4853 | 0.422807 | ||||||||
\(616\) | 2.41421 | + | 5.91359i | 0.0972714 | + | 0.238265i | ||||
\(617\) | 10.4853 | 0.422122 | 0.211061 | − | 0.977473i | \(-0.432308\pi\) | ||||
0.211061 | + | 0.977473i | \(0.432308\pi\) | |||||||
\(618\) | 5.24264 | + | 9.08052i | 0.210890 | + | 0.365272i | ||||
\(619\) | 3.72792 | − | 6.45695i | 0.149838 | − | 0.259527i | −0.781330 | − | 0.624119i | \(-0.785458\pi\) |
0.931167 | + | 0.364592i | \(0.118792\pi\) | |||||||
\(620\) | −0.828427 | + | 1.43488i | −0.0332704 | + | 0.0576261i | ||||
\(621\) | −2.53553 | − | 4.39167i | −0.101747 | − | 0.176232i | ||||
\(622\) | −9.41421 | −0.377476 | ||||||||
\(623\) | 5.87868 | + | 0.804479i | 0.235524 | + | 0.0322308i | ||||
\(624\) | 1.00000 | 0.0400320 | ||||||||
\(625\) | 0.500000 | + | 0.866025i | 0.0200000 | + | 0.0346410i | ||||
\(626\) | 5.07107 | − | 8.78335i | 0.202681 | − | 0.351053i | ||||
\(627\) | 3.62132 | − | 6.27231i | 0.144622 | − | 0.250492i | ||||
\(628\) | −11.0355 | − | 19.1141i | −0.440366 | − | 0.762736i | ||||
\(629\) | −29.4142 | −1.17282 | ||||||||
\(630\) | −2.29289 | + | 2.95680i | −0.0913511 | + | 0.117802i | ||||
\(631\) | −8.62742 | −0.343452 | −0.171726 | − | 0.985145i | \(-0.554934\pi\) | ||||
−0.171726 | + | 0.985145i | \(0.554934\pi\) | |||||||
\(632\) | 4.65685 | + | 8.06591i | 0.185240 | + | 0.320845i | ||||
\(633\) | −4.19239 | + | 7.26143i | −0.166632 | + | 0.288616i | ||||
\(634\) | 2.41421 | − | 4.18154i | 0.0958807 | − | 0.166070i | ||||
\(635\) | 7.00000 | + | 12.1244i | 0.277787 | + | 0.481140i | ||||
\(636\) | −10.3137 | −0.408965 | ||||||||
\(637\) | −1.74264 | − | 6.77962i | −0.0690459 | − | 0.268618i | ||||
\(638\) | −12.0711 | −0.477898 | ||||||||
\(639\) | 0.500000 | + | 0.866025i | 0.0197797 | + | 0.0342594i | ||||
\(640\) | −0.707107 | + | 1.22474i | −0.0279508 | + | 0.0484123i | ||||
\(641\) | −19.4142 | + | 33.6264i | −0.766815 | + | 1.32816i | 0.172466 | + | 0.985015i | \(0.444826\pi\) |
−0.939281 | + | 0.343148i | \(0.888507\pi\) | |||||||
\(642\) | −1.17157 | − | 2.02922i | −0.0462383 | − | 0.0800871i | ||||
\(643\) | 13.6863 | 0.539735 | 0.269867 | − | 0.962898i | \(-0.413020\pi\) | ||||
0.269867 | + | 0.962898i | \(0.413020\pi\) | |||||||
\(644\) | −8.22183 | + | 10.6024i | −0.323985 | + | 0.417795i | ||||
\(645\) | −1.17157 | −0.0461306 | ||||||||
\(646\) | 4.86396 | + | 8.42463i | 0.191370 | + | 0.331463i | ||||
\(647\) | 8.31371 | − | 14.3998i | 0.326846 | − | 0.566113i | −0.655039 | − | 0.755595i | \(-0.727348\pi\) |
0.981884 | + | 0.189482i | \(0.0606810\pi\) | |||||||
\(648\) | −0.500000 | + | 0.866025i | −0.0196419 | + | 0.0340207i | ||||
\(649\) | 12.5711 | + | 21.7737i | 0.493458 | + | 0.854694i | ||||
\(650\) | −3.00000 | −0.117670 | ||||||||
\(651\) | 3.07107 | + | 0.420266i | 0.120365 | + | 0.0164715i | ||||
\(652\) | −11.1421 | −0.436360 | ||||||||
\(653\) | 23.5563 | + | 40.8008i | 0.921831 | + | 1.59666i | 0.796580 | + | 0.604533i | \(0.206640\pi\) |
0.125251 | + | 0.992125i | \(0.460026\pi\) | |||||||
\(654\) | 4.82843 | − | 8.36308i | 0.188806 | − | 0.327022i | ||||
\(655\) | 7.00000 | − | 12.1244i | 0.273513 | − | 0.473738i | ||||
\(656\) | −3.70711 | − | 6.42090i | −0.144738 | − | 0.250694i | ||||
\(657\) | 13.0711 | 0.509951 | ||||||||
\(658\) | −9.00000 | − | 22.0454i | −0.350857 | − | 0.859419i | ||||
\(659\) | 5.27208 | 0.205371 | 0.102685 | − | 0.994714i | \(-0.467256\pi\) | ||||
0.102685 | + | 0.994714i | \(0.467256\pi\) | |||||||
\(660\) | 1.70711 | + | 2.95680i | 0.0664490 | + | 0.115093i | ||||
\(661\) | −8.77817 | + | 15.2042i | −0.341431 | + | 0.591377i | −0.984699 | − | 0.174265i | \(-0.944245\pi\) |
0.643267 | + | 0.765642i | \(0.277578\pi\) | |||||||
\(662\) | 2.75736 | − | 4.77589i | 0.107168 | − | 0.185620i | ||||
\(663\) | 1.62132 | + | 2.80821i | 0.0629669 | + | 0.109062i | ||||
\(664\) | 3.65685 | 0.141913 | ||||||||
\(665\) | −4.24264 | − | 10.3923i | −0.164523 | − | 0.402996i | ||||
\(666\) | 9.07107 | 0.351497 | ||||||||
\(667\) | −12.6777 | − | 21.9584i | −0.490881 | − | 0.850231i | ||||
\(668\) | 5.15685 | − | 8.93193i | 0.199525 | − | 0.345587i | ||||
\(669\) | 7.69239 | − | 13.3236i | 0.297405 | − | 0.515120i | ||||
\(670\) | 2.36396 | + | 4.09450i | 0.0913278 | + | 0.158184i | ||||
\(671\) | −7.82843 | −0.302213 | ||||||||
\(672\) | 2.62132 | + | 0.358719i | 0.101120 | + | 0.0138379i | ||||
\(673\) | −6.82843 | −0.263217 | −0.131608 | − | 0.991302i | \(-0.542014\pi\) | ||||
−0.131608 | + | 0.991302i | \(0.542014\pi\) | |||||||
\(674\) | −8.67157 | − | 15.0196i | −0.334017 | − | 0.578534i | ||||
\(675\) | 1.50000 | − | 2.59808i | 0.0577350 | − | 0.100000i | ||||
\(676\) | −0.500000 | + | 0.866025i | −0.0192308 | + | 0.0333087i | ||||
\(677\) | −16.9142 | − | 29.2963i | −0.650066 | − | 1.12595i | −0.983106 | − | 0.183035i | \(-0.941408\pi\) |
0.333040 | − | 0.942913i | \(-0.391925\pi\) | |||||||
\(678\) | 8.07107 | 0.309967 | ||||||||
\(679\) | 19.2929 | − | 24.8791i | 0.740393 | − | 0.954773i | ||||
\(680\) | −4.58579 | −0.175857 | ||||||||
\(681\) | −1.07107 | − | 1.85514i | −0.0410434 | − | 0.0710893i | ||||
\(682\) | 1.41421 | − | 2.44949i | 0.0541530 | − | 0.0937958i | ||||
\(683\) | 22.7279 | − | 39.3659i | 0.869660 | − | 1.50629i | 0.00731507 | − | 0.999973i | \(-0.497672\pi\) |
0.862345 | − | 0.506322i | \(-0.168995\pi\) | |||||||
\(684\) | −1.50000 | − | 2.59808i | −0.0573539 | − | 0.0993399i | ||||
\(685\) | 1.51472 | 0.0578744 | ||||||||
\(686\) | −2.13604 | − | 18.3967i | −0.0815543 | − | 0.702388i | ||||
\(687\) | −12.8284 | −0.489435 | ||||||||
\(688\) | 0.414214 | + | 0.717439i | 0.0157917 | + | 0.0273521i | ||||
\(689\) | 5.15685 | − | 8.93193i | 0.196461 | − | 0.340280i | ||||
\(690\) | −3.58579 | + | 6.21076i | −0.136509 | + | 0.236440i | ||||
\(691\) | 8.57107 | + | 14.8455i | 0.326059 | + | 0.564750i | 0.981726 | − | 0.190300i | \(-0.0609459\pi\) |
−0.655667 | + | 0.755050i | \(0.727613\pi\) | |||||||
\(692\) | −2.31371 | −0.0879540 | ||||||||
\(693\) | 3.91421 | − | 5.04757i | 0.148689 | − | 0.191741i | ||||
\(694\) | 14.2426 | 0.540643 | ||||||||
\(695\) | −15.0000 | − | 25.9808i | −0.568982 | − | 0.985506i | ||||
\(696\) | −2.50000 | + | 4.33013i | −0.0947623 | + | 0.164133i | ||||
\(697\) | 12.0208 | − | 20.8207i | 0.455321 | − | 0.788639i | ||||
\(698\) | −1.29289 | − | 2.23936i | −0.0489367 | − | 0.0847609i | ||||
\(699\) | 21.7279 | 0.821825 | ||||||||
\(700\) | −7.86396 | − | 1.07616i | −0.297230 | − | 0.0406750i | ||||
\(701\) | 31.5147 | 1.19029 | 0.595147 | − | 0.803617i | \(-0.297094\pi\) | ||||
0.595147 | + | 0.803617i | \(0.297094\pi\) | |||||||
\(702\) | −0.500000 | − | 0.866025i | −0.0188713 | − | 0.0326860i | ||||
\(703\) | −13.6066 | + | 23.5673i | −0.513183 | + | 0.888859i | ||||
\(704\) | 1.20711 | − | 2.09077i | 0.0454945 | − | 0.0787989i | ||||
\(705\) | −6.36396 | − | 11.0227i | −0.239681 | − | 0.415139i | ||||
\(706\) | −32.6274 | −1.22795 | ||||||||
\(707\) | 6.82843 | + | 16.7262i | 0.256809 | + | 0.629052i | ||||
\(708\) | 10.4142 | 0.391390 | ||||||||
\(709\) | −8.02082 | − | 13.8925i | −0.301228 | − | 0.521742i | 0.675186 | − | 0.737647i | \(-0.264063\pi\) |
−0.976414 | + | 0.215905i | \(0.930730\pi\) | |||||||
\(710\) | 0.707107 | − | 1.22474i | 0.0265372 | − | 0.0459639i | ||||
\(711\) | 4.65685 | − | 8.06591i | 0.174646 | − | 0.302495i | ||||
\(712\) | −1.12132 | − | 1.94218i | −0.0420233 | − | 0.0727864i | ||||
\(713\) | 5.94113 | 0.222497 | ||||||||
\(714\) | 3.24264 | + | 7.94282i | 0.121353 | + | 0.297252i | ||||
\(715\) | −3.41421 | −0.127684 | ||||||||
\(716\) | 11.8284 | + | 20.4874i | 0.442049 | + | 0.765651i | ||||
\(717\) | 9.74264 | − | 16.8747i | 0.363846 | − | 0.630199i | ||||
\(718\) | −17.7279 | + | 30.7057i | −0.661600 | + | 1.14593i | ||||
\(719\) | −17.1421 | − | 29.6910i | −0.639294 | − | 1.10729i | −0.985588 | − | 0.169163i | \(-0.945893\pi\) |
0.346294 | − | 0.938126i | \(-0.387440\pi\) | |||||||
\(720\) | 1.41421 | 0.0527046 | ||||||||
\(721\) | −27.4853 | − | 3.76127i | −1.02361 | − | 0.140077i | ||||
\(722\) | −10.0000 | −0.372161 | ||||||||
\(723\) | −0.242641 | − | 0.420266i | −0.00902390 | − | 0.0156299i | ||||
\(724\) | 7.20711 | − | 12.4831i | 0.267850 | − | 0.463930i | ||||
\(725\) | 7.50000 | − | 12.9904i | 0.278543 | − | 0.482451i | ||||
\(726\) | 2.58579 | + | 4.47871i | 0.0959675 | + | 0.166221i | ||||
\(727\) | −33.1716 | −1.23027 | −0.615133 | − | 0.788424i | \(-0.710898\pi\) | ||||
−0.615133 | + | 0.788424i | \(0.710898\pi\) | |||||||
\(728\) | −1.62132 | + | 2.09077i | −0.0600901 | + | 0.0774891i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −9.24264 | − | 16.0087i | −0.342085 | − | 0.592509i | ||||
\(731\) | −1.34315 | + | 2.32640i | −0.0496780 | + | 0.0860449i | ||||
\(732\) | −1.62132 | + | 2.80821i | −0.0599257 | + | 0.103794i | ||||
\(733\) | −26.5061 | − | 45.9099i | −0.979025 | − | 1.69572i | −0.665957 | − | 0.745991i | \(-0.731976\pi\) |
−0.313068 | − | 0.949731i | \(-0.601357\pi\) | |||||||
\(734\) | 14.0000 | 0.516749 | ||||||||
\(735\) | −2.46447 | − | 9.58783i | −0.0909032 | − | 0.353652i | ||||
\(736\) | 5.07107 | 0.186922 | ||||||||
\(737\) | −4.03553 | − | 6.98975i | −0.148651 | − | 0.257471i | ||||
\(738\) | −3.70711 | + | 6.42090i | −0.136460 | + | 0.236356i | ||||
\(739\) | 13.4853 | − | 23.3572i | 0.496064 | − | 0.859208i | −0.503926 | − | 0.863747i | \(-0.668111\pi\) |
0.999990 | + | 0.00453885i | \(0.00144476\pi\) | |||||||
\(740\) | −6.41421 | − | 11.1097i | −0.235791 | − | 0.408402i | ||||
\(741\) | 3.00000 | 0.110208 | ||||||||
\(742\) | 16.7218 | − | 21.5636i | 0.613878 | − | 0.791624i | ||||
\(743\) | −5.48528 | −0.201235 | −0.100618 | − | 0.994925i | \(-0.532082\pi\) | ||||
−0.100618 | + | 0.994925i | \(0.532082\pi\) | |||||||
\(744\) | −0.585786 | − | 1.01461i | −0.0214760 | − | 0.0371975i | ||||
\(745\) | 2.75736 | − | 4.77589i | 0.101022 | − | 0.174975i | ||||
\(746\) | 15.4497 | − | 26.7597i | 0.565655 | − | 0.979744i | ||||
\(747\) | −1.82843 | − | 3.16693i | −0.0668987 | − | 0.115872i | ||||
\(748\) | 7.82843 | 0.286236 | ||||||||
\(749\) | 6.14214 | + | 0.840532i | 0.224429 | + | 0.0307124i | ||||
\(750\) | −11.3137 | −0.413118 | ||||||||
\(751\) | 22.8284 | + | 39.5400i | 0.833021 | + | 1.44283i | 0.895631 | + | 0.444797i | \(0.146724\pi\) |
−0.0626103 | + | 0.998038i | \(0.519943\pi\) | |||||||
\(752\) | −4.50000 | + | 7.79423i | −0.164098 | + | 0.284226i | ||||
\(753\) | −3.58579 | + | 6.21076i | −0.130673 | + | 0.226333i | ||||
\(754\) | −2.50000 | − | 4.33013i | −0.0910446 | − | 0.157694i | ||||
\(755\) | −14.7279 | −0.536004 | ||||||||
\(756\) | −1.00000 | − | 2.44949i | −0.0363696 | − | 0.0890871i | ||||
\(757\) | 54.5563 | 1.98288 | 0.991442 | − | 0.130547i | \(-0.0416734\pi\) | ||||
0.991442 | + | 0.130547i | \(0.0416734\pi\) | |||||||
\(758\) | 11.1716 | + | 19.3497i | 0.405770 | + | 0.702814i | ||||
\(759\) | 6.12132 | − | 10.6024i | 0.222190 | − | 0.384844i | ||||
\(760\) | −2.12132 | + | 3.67423i | −0.0769484 | + | 0.133278i | ||||
\(761\) | 23.0711 | + | 39.9603i | 0.836326 | + | 1.44856i | 0.892947 | + | 0.450163i | \(0.148634\pi\) |
−0.0566210 | + | 0.998396i | \(0.518033\pi\) | |||||||
\(762\) | −9.89949 | −0.358621 | ||||||||
\(763\) | 9.65685 | + | 23.6544i | 0.349602 | + | 0.856346i | ||||
\(764\) | 13.6569 | 0.494088 | ||||||||
\(765\) | 2.29289 | + | 3.97141i | 0.0828997 | + | 0.143587i | ||||
\(766\) | 5.24264 | − | 9.08052i | 0.189424 | − | 0.328093i | ||||
\(767\) | −5.20711 | + | 9.01897i | −0.188018 | + | 0.325656i | ||||
\(768\) | −0.500000 | − | 0.866025i | −0.0180422 | − | 0.0312500i | ||||
\(769\) | −21.0711 | −0.759842 | −0.379921 | − | 0.925019i | \(-0.624049\pi\) | ||||
−0.379921 | + | 0.925019i | \(0.624049\pi\) | |||||||
\(770\) | −8.94975 | − | 1.22474i | −0.322527 | − | 0.0441367i | ||||
\(771\) | 17.7990 | 0.641015 |