Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 4 x^{19} - 3 x^{18} + 66 x^{17} - 163 x^{16} - 52 x^{15} + 1567 x^{14} - 6182 x^{13} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 151.2 | ||
Root | \(-0.103821 - 0.119816i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.151 |
Dual form | 690.2.m.c.361.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{7}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.654861 | − | 0.755750i | −0.463056 | − | 0.534396i | ||||
\(3\) | −0.841254 | − | 0.540641i | −0.485698 | − | 0.312139i | ||||
\(4\) | −0.142315 | + | 0.989821i | −0.0711574 | + | 0.494911i | ||||
\(5\) | 0.415415 | − | 0.909632i | 0.185779 | − | 0.406800i | ||||
\(6\) | 0.142315 | + | 0.989821i | 0.0580998 | + | 0.404093i | ||||
\(7\) | 2.42713 | + | 0.712670i | 0.917369 | + | 0.269364i | 0.706140 | − | 0.708073i | \(-0.250435\pi\) |
0.211229 | + | 0.977436i | \(0.432253\pi\) | |||||||
\(8\) | 0.841254 | − | 0.540641i | 0.297428 | − | 0.191145i | ||||
\(9\) | 0.415415 | + | 0.909632i | 0.138472 | + | 0.303211i | ||||
\(10\) | −0.959493 | + | 0.281733i | −0.303418 | + | 0.0890917i | ||||
\(11\) | −3.14672 | + | 3.63151i | −0.948772 | + | 1.09494i | 0.0466071 | + | 0.998913i | \(0.485159\pi\) |
−0.995379 | + | 0.0960274i | \(0.969386\pi\) | |||||||
\(12\) | 0.654861 | − | 0.755750i | 0.189042 | − | 0.218166i | ||||
\(13\) | 3.41824 | − | 1.00368i | 0.948048 | − | 0.278372i | 0.229074 | − | 0.973409i | \(-0.426430\pi\) |
0.718974 | + | 0.695037i | \(0.244612\pi\) | |||||||
\(14\) | −1.05083 | − | 2.30100i | −0.280847 | − | 0.614969i | ||||
\(15\) | −0.841254 | + | 0.540641i | −0.217211 | + | 0.139593i | ||||
\(16\) | −0.959493 | − | 0.281733i | −0.239873 | − | 0.0704331i | ||||
\(17\) | 0.684717 | + | 4.76231i | 0.166068 | + | 1.15503i | 0.886914 | + | 0.461935i | \(0.152845\pi\) |
−0.720846 | + | 0.693096i | \(0.756246\pi\) | |||||||
\(18\) | 0.415415 | − | 0.909632i | 0.0979143 | − | 0.214402i | ||||
\(19\) | −0.0293102 | + | 0.203857i | −0.00672421 | + | 0.0467679i | −0.992907 | − | 0.118891i | \(-0.962066\pi\) |
0.986183 | + | 0.165659i | \(0.0529751\pi\) | |||||||
\(20\) | 0.841254 | + | 0.540641i | 0.188110 | + | 0.120891i | ||||
\(21\) | −1.65653 | − | 1.91174i | −0.361485 | − | 0.417176i | ||||
\(22\) | 4.80517 | 1.02447 | ||||||||
\(23\) | −1.83550 | + | 4.43068i | −0.382728 | + | 0.923861i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.654861 | − | 0.755750i | −0.130972 | − | 0.151150i | ||||
\(26\) | −2.99700 | − | 1.92606i | −0.587760 | − | 0.377731i | ||||
\(27\) | 0.142315 | − | 0.989821i | 0.0273885 | − | 0.190491i | ||||
\(28\) | −1.05083 | + | 2.30100i | −0.198589 | + | 0.434849i | ||||
\(29\) | 0.860936 | + | 5.98794i | 0.159872 | + | 1.11193i | 0.898867 | + | 0.438222i | \(0.144392\pi\) |
−0.738995 | + | 0.673711i | \(0.764699\pi\) | |||||||
\(30\) | 0.959493 | + | 0.281733i | 0.175179 | + | 0.0514371i | ||||
\(31\) | 5.39365 | − | 3.46629i | 0.968728 | − | 0.622564i | 0.0423280 | − | 0.999104i | \(-0.486523\pi\) |
0.926400 | + | 0.376540i | \(0.122886\pi\) | |||||||
\(32\) | 0.415415 | + | 0.909632i | 0.0734357 | + | 0.160802i | ||||
\(33\) | 4.61053 | − | 1.35377i | 0.802590 | − | 0.235662i | ||||
\(34\) | 3.15072 | − | 3.63613i | 0.540344 | − | 0.623590i | ||||
\(35\) | 1.65653 | − | 1.91174i | 0.280005 | − | 0.323143i | ||||
\(36\) | −0.959493 | + | 0.281733i | −0.159915 | + | 0.0469554i | ||||
\(37\) | 1.60149 | + | 3.50677i | 0.263283 | + | 0.576509i | 0.994393 | − | 0.105751i | \(-0.0337246\pi\) |
−0.731110 | + | 0.682260i | \(0.760997\pi\) | |||||||
\(38\) | 0.173259 | − | 0.111347i | 0.0281063 | − | 0.0180628i | ||||
\(39\) | −3.41824 | − | 1.00368i | −0.547356 | − | 0.160718i | ||||
\(40\) | −0.142315 | − | 0.989821i | −0.0225020 | − | 0.156505i | ||||
\(41\) | 4.17325 | − | 9.13813i | 0.651751 | − | 1.42714i | −0.238261 | − | 0.971201i | \(-0.576577\pi\) |
0.890013 | − | 0.455936i | \(-0.150695\pi\) | |||||||
\(42\) | −0.359999 | + | 2.50385i | −0.0555491 | + | 0.386352i | ||||
\(43\) | 1.62206 | + | 1.04243i | 0.247361 | + | 0.158970i | 0.658447 | − | 0.752627i | \(-0.271214\pi\) |
−0.411085 | + | 0.911597i | \(0.634850\pi\) | |||||||
\(44\) | −3.14672 | − | 3.63151i | −0.474386 | − | 0.547470i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | 4.55048 | − | 1.51430i | 0.670932 | − | 0.223272i | ||||
\(47\) | −5.35602 | −0.781255 | −0.390628 | − | 0.920549i | \(-0.627742\pi\) | ||||
−0.390628 | + | 0.920549i | \(0.627742\pi\) | |||||||
\(48\) | 0.654861 | + | 0.755750i | 0.0945210 | + | 0.109083i | ||||
\(49\) | −0.505710 | − | 0.325000i | −0.0722443 | − | 0.0464286i | ||||
\(50\) | −0.142315 | + | 0.989821i | −0.0201264 | + | 0.139982i | ||||
\(51\) | 1.99868 | − | 4.37650i | 0.279871 | − | 0.612832i | ||||
\(52\) | 0.507003 | + | 3.52628i | 0.0703086 | + | 0.489007i | ||||
\(53\) | 12.5315 | + | 3.67959i | 1.72134 | + | 0.505430i | 0.985201 | − | 0.171402i | \(-0.0548298\pi\) |
0.736137 | + | 0.676833i | \(0.236648\pi\) | |||||||
\(54\) | −0.841254 | + | 0.540641i | −0.114480 | + | 0.0735719i | ||||
\(55\) | 1.99614 | + | 4.37094i | 0.269160 | + | 0.589377i | ||||
\(56\) | 2.42713 | − | 0.712670i | 0.324339 | − | 0.0952345i | ||||
\(57\) | 0.134870 | − | 0.155649i | 0.0178640 | − | 0.0206162i | ||||
\(58\) | 3.96159 | − | 4.57192i | 0.520182 | − | 0.600322i | ||||
\(59\) | 7.41817 | − | 2.17817i | 0.965763 | − | 0.283574i | 0.239428 | − | 0.970914i | \(-0.423040\pi\) |
0.726335 | + | 0.687340i | \(0.241222\pi\) | |||||||
\(60\) | −0.415415 | − | 0.909632i | −0.0536298 | − | 0.117433i | ||||
\(61\) | 9.22714 | − | 5.92992i | 1.18141 | − | 0.759249i | 0.205768 | − | 0.978601i | \(-0.434031\pi\) |
0.975646 | + | 0.219352i | \(0.0703944\pi\) | |||||||
\(62\) | −6.15174 | − | 1.80631i | −0.781271 | − | 0.229402i | ||||
\(63\) | 0.359999 | + | 2.50385i | 0.0453556 | + | 0.315455i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | 0.507003 | − | 3.52628i | 0.0628860 | − | 0.437381i | ||||
\(66\) | −4.04237 | − | 2.59787i | −0.497581 | − | 0.319776i | ||||
\(67\) | 6.71185 | + | 7.74589i | 0.819983 | + | 0.946311i | 0.999297 | − | 0.0374805i | \(-0.0119332\pi\) |
−0.179314 | + | 0.983792i | \(0.557388\pi\) | |||||||
\(68\) | −4.81128 | −0.583454 | ||||||||
\(69\) | 3.93953 | − | 2.73498i | 0.474263 | − | 0.329253i | ||||
\(70\) | −2.52960 | −0.302345 | ||||||||
\(71\) | −1.47222 | − | 1.69903i | −0.174720 | − | 0.201638i | 0.661635 | − | 0.749826i | \(-0.269863\pi\) |
−0.836355 | + | 0.548189i | \(0.815318\pi\) | |||||||
\(72\) | 0.841254 | + | 0.540641i | 0.0991427 | + | 0.0637151i | ||||
\(73\) | 0.534127 | − | 3.71493i | 0.0625148 | − | 0.434800i | −0.934395 | − | 0.356240i | \(-0.884059\pi\) |
0.996909 | − | 0.0785603i | \(-0.0250323\pi\) | |||||||
\(74\) | 1.60149 | − | 3.50677i | 0.186169 | − | 0.407653i | ||||
\(75\) | 0.142315 | + | 0.989821i | 0.0164331 | + | 0.114295i | ||||
\(76\) | −0.197610 | − | 0.0580236i | −0.0226675 | − | 0.00665577i | ||||
\(77\) | −10.2256 | + | 6.57157i | −1.16531 | + | 0.748900i | ||||
\(78\) | 1.47993 | + | 3.24060i | 0.167570 | + | 0.366926i | ||||
\(79\) | −9.22543 | + | 2.70883i | −1.03794 | + | 0.304767i | −0.755936 | − | 0.654645i | \(-0.772818\pi\) |
−0.282006 | + | 0.959413i | \(0.591000\pi\) | |||||||
\(80\) | −0.654861 | + | 0.755750i | −0.0732157 | + | 0.0844954i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −9.63903 | + | 2.83028i | −1.06445 | + | 0.312552i | ||||
\(83\) | 0.629887 | + | 1.37926i | 0.0691391 | + | 0.151394i | 0.941046 | − | 0.338277i | \(-0.109844\pi\) |
−0.871907 | + | 0.489671i | \(0.837117\pi\) | |||||||
\(84\) | 2.12803 | − | 1.36760i | 0.232187 | − | 0.149218i | ||||
\(85\) | 4.61639 | + | 1.35550i | 0.500718 | + | 0.147024i | ||||
\(86\) | −0.274403 | − | 1.90852i | −0.0295897 | − | 0.205801i | ||||
\(87\) | 2.51306 | − | 5.50283i | 0.269428 | − | 0.589966i | ||||
\(88\) | −0.683847 | + | 4.75626i | −0.0728984 | + | 0.507019i | ||||
\(89\) | −11.8738 | − | 7.63085i | −1.25862 | − | 0.808869i | −0.270529 | − | 0.962712i | \(-0.587199\pi\) |
−0.988095 | + | 0.153843i | \(0.950835\pi\) | |||||||
\(90\) | −0.654861 | − | 0.755750i | −0.0690284 | − | 0.0796630i | ||||
\(91\) | 9.01180 | 0.944693 | ||||||||
\(92\) | −4.12437 | − | 2.44737i | −0.429995 | − | 0.255156i | ||||
\(93\) | −6.41145 | −0.664836 | ||||||||
\(94\) | 3.50744 | + | 4.04781i | 0.361765 | + | 0.417499i | ||||
\(95\) | 0.173259 | + | 0.111347i | 0.0177760 | + | 0.0114239i | ||||
\(96\) | 0.142315 | − | 0.989821i | 0.0145249 | − | 0.101023i | ||||
\(97\) | 0.356457 | − | 0.780532i | 0.0361927 | − | 0.0792510i | −0.890672 | − | 0.454646i | \(-0.849766\pi\) |
0.926865 | + | 0.375395i | \(0.122493\pi\) | |||||||
\(98\) | 0.0855510 | + | 0.595020i | 0.00864196 | + | 0.0601061i | ||||
\(99\) | −4.61053 | − | 1.35377i | −0.463376 | − | 0.136059i | ||||
\(100\) | 0.841254 | − | 0.540641i | 0.0841254 | − | 0.0540641i | ||||
\(101\) | −2.71817 | − | 5.95197i | −0.270468 | − | 0.592243i | 0.724849 | − | 0.688908i | \(-0.241910\pi\) |
−0.995317 | + | 0.0966651i | \(0.969182\pi\) | |||||||
\(102\) | −4.61639 | + | 1.35550i | −0.457091 | + | 0.134214i | ||||
\(103\) | −4.50767 | + | 5.20213i | −0.444154 | + | 0.512581i | −0.933043 | − | 0.359765i | \(-0.882857\pi\) |
0.488889 | + | 0.872346i | \(0.337402\pi\) | |||||||
\(104\) | 2.33297 | − | 2.69239i | 0.228766 | − | 0.264011i | ||||
\(105\) | −2.42713 | + | 0.712670i | −0.236864 | + | 0.0695495i | ||||
\(106\) | −5.42556 | − | 11.8803i | −0.526977 | − | 1.15392i | ||||
\(107\) | 2.97364 | − | 1.91104i | 0.287473 | − | 0.184747i | −0.388955 | − | 0.921257i | \(-0.627164\pi\) |
0.676427 | + | 0.736509i | \(0.263527\pi\) | |||||||
\(108\) | 0.959493 | + | 0.281733i | 0.0923273 | + | 0.0271097i | ||||
\(109\) | 2.94833 | + | 20.5061i | 0.282399 | + | 1.96413i | 0.264875 | + | 0.964283i | \(0.414669\pi\) |
0.0175237 | + | 0.999846i | \(0.494422\pi\) | |||||||
\(110\) | 1.99614 | − | 4.37094i | 0.190325 | − | 0.416753i | ||||
\(111\) | 0.548645 | − | 3.81591i | 0.0520751 | − | 0.362190i | ||||
\(112\) | −2.12803 | − | 1.36760i | −0.201080 | − | 0.129226i | ||||
\(113\) | −5.31675 | − | 6.13585i | −0.500158 | − | 0.577213i | 0.448394 | − | 0.893836i | \(-0.351996\pi\) |
−0.948551 | + | 0.316624i | \(0.897451\pi\) | |||||||
\(114\) | −0.205953 | −0.0192893 | ||||||||
\(115\) | 3.26780 | + | 3.51020i | 0.304724 | + | 0.327328i | ||||
\(116\) | −6.04952 | −0.561683 | ||||||||
\(117\) | 2.33297 | + | 2.69239i | 0.215683 | + | 0.248912i | ||||
\(118\) | −6.50402 | − | 4.17988i | −0.598743 | − | 0.384789i | ||||
\(119\) | −1.73206 | + | 12.0467i | −0.158778 | + | 1.10432i | ||||
\(120\) | −0.415415 | + | 0.909632i | −0.0379220 | + | 0.0830377i | ||||
\(121\) | −1.72054 | − | 11.9666i | −0.156413 | − | 1.08788i | ||||
\(122\) | −10.5240 | − | 3.09013i | −0.952800 | − | 0.279767i | ||||
\(123\) | −8.45121 | + | 5.43126i | −0.762020 | + | 0.489720i | ||||
\(124\) | 2.66341 | + | 5.83206i | 0.239181 | + | 0.523734i | ||||
\(125\) | −0.959493 | + | 0.281733i | −0.0858197 | + | 0.0251989i | ||||
\(126\) | 1.65653 | − | 1.91174i | 0.147576 | − | 0.170312i | ||||
\(127\) | −2.82820 | + | 3.26392i | −0.250963 | + | 0.289626i | −0.867227 | − | 0.497913i | \(-0.834100\pi\) |
0.616264 | + | 0.787539i | \(0.288645\pi\) | |||||||
\(128\) | −0.959493 | + | 0.281733i | −0.0848080 | + | 0.0249019i | ||||
\(129\) | −0.800980 | − | 1.75390i | −0.0705223 | − | 0.154422i | ||||
\(130\) | −2.99700 | + | 1.92606i | −0.262854 | + | 0.168926i | ||||
\(131\) | −8.04184 | − | 2.36130i | −0.702619 | − | 0.206307i | −0.0891404 | − | 0.996019i | \(-0.528412\pi\) |
−0.613478 | + | 0.789712i | \(0.710230\pi\) | |||||||
\(132\) | 0.683847 | + | 4.75626i | 0.0595213 | + | 0.413980i | ||||
\(133\) | −0.216422 | + | 0.473898i | −0.0187662 | + | 0.0410922i | ||||
\(134\) | 1.45863 | − | 10.1450i | 0.126006 | − | 0.876391i | ||||
\(135\) | −0.841254 | − | 0.540641i | −0.0724036 | − | 0.0465310i | ||||
\(136\) | 3.15072 | + | 3.63613i | 0.270172 | + | 0.311795i | ||||
\(137\) | 17.2818 | 1.47648 | 0.738242 | − | 0.674536i | \(-0.235656\pi\) | ||||
0.738242 | + | 0.674536i | \(0.235656\pi\) | |||||||
\(138\) | −4.64680 | − | 1.18626i | −0.395562 | − | 0.100981i | ||||
\(139\) | −5.98307 | −0.507477 | −0.253739 | − | 0.967273i | \(-0.581660\pi\) | ||||
−0.253739 | + | 0.967273i | \(0.581660\pi\) | |||||||
\(140\) | 1.65653 | + | 1.91174i | 0.140003 | + | 0.161572i | ||||
\(141\) | 4.50577 | + | 2.89568i | 0.379454 | + | 0.243860i | ||||
\(142\) | −0.319944 | + | 2.22526i | −0.0268491 | + | 0.186739i | ||||
\(143\) | −7.11134 | + | 15.5717i | −0.594680 | + | 1.30217i | ||||
\(144\) | −0.142315 | − | 0.989821i | −0.0118596 | − | 0.0824851i | ||||
\(145\) | 5.80447 | + | 1.70435i | 0.482035 | + | 0.141538i | ||||
\(146\) | −3.15734 | + | 2.02910i | −0.261303 | + | 0.167929i | ||||
\(147\) | 0.249722 | + | 0.546815i | 0.0205967 | + | 0.0451006i | ||||
\(148\) | −3.69899 | + | 1.08612i | −0.304055 | + | 0.0892786i | ||||
\(149\) | −10.3327 | + | 11.9246i | −0.846487 | + | 0.976898i | −0.999937 | − | 0.0112582i | \(-0.996416\pi\) |
0.153449 | + | 0.988157i | \(0.450962\pi\) | |||||||
\(150\) | 0.654861 | − | 0.755750i | 0.0534692 | − | 0.0617067i | ||||
\(151\) | −2.78013 | + | 0.816319i | −0.226244 | + | 0.0664311i | −0.392890 | − | 0.919586i | \(-0.628525\pi\) |
0.166646 | + | 0.986017i | \(0.446706\pi\) | |||||||
\(152\) | 0.0855559 | + | 0.187341i | 0.00693950 | + | 0.0151954i | ||||
\(153\) | −4.04751 | + | 2.60118i | −0.327222 | + | 0.210293i | ||||
\(154\) | 11.6628 | + | 3.42450i | 0.939814 | + | 0.275954i | ||||
\(155\) | −0.912444 | − | 6.34619i | −0.0732893 | − | 0.509738i | ||||
\(156\) | 1.47993 | − | 3.24060i | 0.118490 | − | 0.259456i | ||||
\(157\) | 1.03032 | − | 7.16602i | 0.0822283 | − | 0.571911i | −0.906502 | − | 0.422202i | \(-0.861257\pi\) |
0.988730 | − | 0.149709i | \(-0.0478336\pi\) | |||||||
\(158\) | 8.08857 | + | 5.19821i | 0.643492 | + | 0.413547i | ||||
\(159\) | −8.55286 | − | 9.87052i | −0.678286 | − | 0.782783i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −7.61260 | + | 9.44574i | −0.599957 | + | 0.744429i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 10.9865 | + | 12.6791i | 0.860532 | + | 0.993107i | 0.999996 | + | 0.00287960i | \(0.000916606\pi\) |
−0.139464 | + | 0.990227i | \(0.544538\pi\) | |||||||
\(164\) | 8.45121 | + | 5.43126i | 0.659928 | + | 0.424110i | ||||
\(165\) | 0.683847 | − | 4.75626i | 0.0532375 | − | 0.370275i | ||||
\(166\) | 0.629887 | − | 1.37926i | 0.0488887 | − | 0.107051i | ||||
\(167\) | 3.21431 | + | 22.3560i | 0.248730 | + | 1.72996i | 0.605570 | + | 0.795792i | \(0.292945\pi\) |
−0.356839 | + | 0.934166i | \(0.616146\pi\) | |||||||
\(168\) | −2.42713 | − | 0.712670i | −0.187257 | − | 0.0549837i | ||||
\(169\) | −0.259347 | + | 0.166672i | −0.0199498 | + | 0.0128209i | ||||
\(170\) | −1.99868 | − | 4.37650i | −0.153292 | − | 0.335662i | ||||
\(171\) | −0.197610 | + | 0.0580236i | −0.0151116 | + | 0.00443718i | ||||
\(172\) | −1.26267 | + | 1.45719i | −0.0962773 | + | 0.111110i | ||||
\(173\) | 13.7045 | − | 15.8159i | 1.04194 | − | 1.20246i | 0.0630592 | − | 0.998010i | \(-0.479914\pi\) |
0.978877 | − | 0.204449i | \(-0.0655402\pi\) | |||||||
\(174\) | −5.80447 | + | 1.70435i | −0.440036 | + | 0.129206i | ||||
\(175\) | −1.05083 | − | 2.30100i | −0.0794355 | − | 0.173939i | ||||
\(176\) | 4.04237 | − | 2.59787i | 0.304705 | − | 0.195822i | ||||
\(177\) | −7.41817 | − | 2.17817i | −0.557584 | − | 0.163721i | ||||
\(178\) | 2.00870 | + | 13.9708i | 0.150558 | + | 1.04716i | ||||
\(179\) | 0.401437 | − | 0.879023i | 0.0300048 | − | 0.0657013i | −0.894036 | − | 0.447995i | \(-0.852138\pi\) |
0.924041 | + | 0.382293i | \(0.124866\pi\) | |||||||
\(180\) | −0.142315 | + | 0.989821i | −0.0106075 | + | 0.0737769i | ||||
\(181\) | −18.1205 | − | 11.6453i | −1.34689 | − | 0.865591i | −0.349436 | − | 0.936960i | \(-0.613627\pi\) |
−0.997450 | + | 0.0713690i | \(0.977263\pi\) | |||||||
\(182\) | −5.90147 | − | 6.81066i | −0.437446 | − | 0.504840i | ||||
\(183\) | −10.9683 | −0.810801 | ||||||||
\(184\) | 0.851290 | + | 4.71967i | 0.0627579 | + | 0.347939i | ||||
\(185\) | 3.85515 | 0.283436 | ||||||||
\(186\) | 4.19860 | + | 4.84545i | 0.307857 | + | 0.355285i | ||||
\(187\) | −19.4490 | − | 12.4991i | −1.42225 | − | 0.914025i | ||||
\(188\) | 0.762240 | − | 5.30150i | 0.0555921 | − | 0.386652i | ||||
\(189\) | 1.05083 | − | 2.30100i | 0.0764368 | − | 0.167373i | ||||
\(190\) | −0.0293102 | − | 0.203857i | −0.00212638 | − | 0.0147893i | ||||
\(191\) | −21.9038 | − | 6.43153i | −1.58490 | − | 0.465369i | −0.633607 | − | 0.773655i | \(-0.718426\pi\) |
−0.951294 | + | 0.308286i | \(0.900245\pi\) | |||||||
\(192\) | −0.841254 | + | 0.540641i | −0.0607122 | + | 0.0390174i | ||||
\(193\) | −4.37582 | − | 9.58171i | −0.314978 | − | 0.689706i | 0.684239 | − | 0.729258i | \(-0.260134\pi\) |
−0.999218 | + | 0.0395512i | \(0.987407\pi\) | |||||||
\(194\) | −0.823316 | + | 0.241748i | −0.0591107 | + | 0.0173565i | ||||
\(195\) | −2.33297 | + | 2.69239i | −0.167067 | + | 0.192806i | ||||
\(196\) | 0.393662 | − | 0.454311i | 0.0281187 | − | 0.0324508i | ||||
\(197\) | 5.35944 | − | 1.57367i | 0.381845 | − | 0.112120i | −0.0851765 | − | 0.996366i | \(-0.527145\pi\) |
0.467021 | + | 0.884246i | \(0.345327\pi\) | |||||||
\(198\) | 1.99614 | + | 4.37094i | 0.141860 | + | 0.310629i | ||||
\(199\) | −16.4113 | + | 10.5469i | −1.16337 | + | 0.747651i | −0.972257 | − | 0.233917i | \(-0.924846\pi\) |
−0.191112 | + | 0.981568i | \(0.561209\pi\) | |||||||
\(200\) | −0.959493 | − | 0.281733i | −0.0678464 | − | 0.0199215i | ||||
\(201\) | −1.45863 | − | 10.1450i | −0.102883 | − | 0.715570i | ||||
\(202\) | −2.71817 | + | 5.95197i | −0.191250 | + | 0.418779i | ||||
\(203\) | −2.17782 | + | 15.1471i | −0.152853 | + | 1.06312i | ||||
\(204\) | 4.04751 | + | 2.60118i | 0.283382 | + | 0.182119i | ||||
\(205\) | −6.57871 | − | 7.59224i | −0.459477 | − | 0.530265i | ||||
\(206\) | 6.88341 | 0.479590 | ||||||||
\(207\) | −4.79278 | + | 0.170946i | −0.333122 | + | 0.0118815i | ||||
\(208\) | −3.56254 | −0.247018 | ||||||||
\(209\) | −0.648076 | − | 0.747920i | −0.0448284 | − | 0.0517347i | ||||
\(210\) | 2.12803 | + | 1.36760i | 0.146848 | + | 0.0943736i | ||||
\(211\) | 0.602751 | − | 4.19223i | 0.0414951 | − | 0.288605i | −0.958499 | − | 0.285097i | \(-0.907974\pi\) |
0.999994 | − | 0.00350798i | \(-0.00111663\pi\) | |||||||
\(212\) | −5.42556 | + | 11.8803i | −0.372629 | + | 0.815943i | ||||
\(213\) | 0.319944 | + | 2.22526i | 0.0219222 | + | 0.152472i | ||||
\(214\) | −3.39159 | − | 0.995861i | −0.231844 | − | 0.0680756i | ||||
\(215\) | 1.62206 | − | 1.04243i | 0.110623 | − | 0.0710933i | ||||
\(216\) | −0.415415 | − | 0.909632i | −0.0282654 | − | 0.0618926i | ||||
\(217\) | 15.5614 | − | 4.56924i | 1.05638 | − | 0.310181i | ||||
\(218\) | 13.5667 | − | 15.6568i | 0.918855 | − | 1.06042i | ||||
\(219\) | −2.45778 | + | 2.83643i | −0.166081 | + | 0.191668i | ||||
\(220\) | −4.61053 | + | 1.35377i | −0.310842 | + | 0.0912714i | ||||
\(221\) | 7.12038 | + | 15.5915i | 0.478969 | + | 1.04880i | ||||
\(222\) | −3.24316 | + | 2.08425i | −0.217666 | + | 0.139886i | ||||
\(223\) | 6.21810 | + | 1.82580i | 0.416395 | + | 0.122265i | 0.483218 | − | 0.875500i | \(-0.339468\pi\) |
−0.0668227 | + | 0.997765i | \(0.521286\pi\) | |||||||
\(224\) | 0.359999 | + | 2.50385i | 0.0240535 | + | 0.167295i | ||||
\(225\) | 0.415415 | − | 0.909632i | 0.0276943 | − | 0.0606421i | ||||
\(226\) | −1.15544 | + | 8.03626i | −0.0768587 | + | 0.534564i | ||||
\(227\) | −16.8142 | − | 10.8059i | −1.11600 | − | 0.717210i | −0.153407 | − | 0.988163i | \(-0.549025\pi\) |
−0.962592 | + | 0.270953i | \(0.912661\pi\) | |||||||
\(228\) | 0.134870 | + | 0.155649i | 0.00893202 | + | 0.0103081i | ||||
\(229\) | 19.1324 | 1.26430 | 0.632152 | − | 0.774845i | \(-0.282172\pi\) | ||||
0.632152 | + | 0.774845i | \(0.282172\pi\) | |||||||
\(230\) | 0.512879 | − | 4.76833i | 0.0338182 | − | 0.314414i | ||||
\(231\) | 12.1552 | 0.799750 | ||||||||
\(232\) | 3.96159 | + | 4.57192i | 0.260091 | + | 0.300161i | ||||
\(233\) | −15.1344 | − | 9.72631i | −0.991490 | − | 0.637192i | −0.0589509 | − | 0.998261i | \(-0.518776\pi\) |
−0.932539 | + | 0.361069i | \(0.882412\pi\) | |||||||
\(234\) | 0.507003 | − | 3.52628i | 0.0331438 | − | 0.230520i | ||||
\(235\) | −2.22497 | + | 4.87200i | −0.145141 | + | 0.317814i | ||||
\(236\) | 1.10028 | + | 7.65265i | 0.0716224 | + | 0.498145i | ||||
\(237\) | 9.22543 | + | 2.70883i | 0.599256 | + | 0.175957i | ||||
\(238\) | 10.2386 | − | 6.57993i | 0.663668 | − | 0.426513i | ||||
\(239\) | −5.81540 | − | 12.7340i | −0.376167 | − | 0.823691i | −0.999141 | − | 0.0414484i | \(-0.986803\pi\) |
0.622973 | − | 0.782243i | \(-0.285924\pi\) | |||||||
\(240\) | 0.959493 | − | 0.281733i | 0.0619350 | − | 0.0181858i | ||||
\(241\) | 5.08468 | − | 5.86803i | 0.327533 | − | 0.377993i | −0.567970 | − | 0.823049i | \(-0.692271\pi\) |
0.895503 | + | 0.445056i | \(0.146816\pi\) | |||||||
\(242\) | −7.91706 | + | 9.13678i | −0.508928 | + | 0.587334i | ||||
\(243\) | 0.959493 | − | 0.281733i | 0.0615515 | − | 0.0180732i | ||||
\(244\) | 4.55640 | + | 9.97713i | 0.291694 | + | 0.638721i | ||||
\(245\) | −0.505710 | + | 0.325000i | −0.0323086 | + | 0.0207635i | ||||
\(246\) | 9.63903 | + | 2.83028i | 0.614562 | + | 0.180452i | ||||
\(247\) | 0.104419 | + | 0.726248i | 0.00664400 | + | 0.0462101i | ||||
\(248\) | 2.66341 | − | 5.83206i | 0.169127 | − | 0.370336i | ||||
\(249\) | 0.215790 | − | 1.50085i | 0.0136751 | − | 0.0951125i | ||||
\(250\) | 0.841254 | + | 0.540641i | 0.0532055 | + | 0.0341931i | ||||
\(251\) | 9.09301 | + | 10.4939i | 0.573946 | + | 0.662369i | 0.966292 | − | 0.257449i | \(-0.0828819\pi\) |
−0.392346 | + | 0.919818i | \(0.628336\pi\) | |||||||
\(252\) | −2.52960 | −0.159350 | ||||||||
\(253\) | −10.3143 | − | 20.6077i | −0.648452 | − | 1.29560i | ||||
\(254\) | 4.31879 | 0.270985 | ||||||||
\(255\) | −3.15072 | − | 3.63613i | −0.197306 | − | 0.227703i | ||||
\(256\) | 0.841254 | + | 0.540641i | 0.0525783 | + | 0.0337901i | ||||
\(257\) | −3.05645 | + | 21.2581i | −0.190656 | + | 1.32604i | 0.639620 | + | 0.768692i | \(0.279092\pi\) |
−0.830276 | + | 0.557353i | \(0.811817\pi\) | |||||||
\(258\) | −0.800980 | + | 1.75390i | −0.0498668 | + | 0.109193i | ||||
\(259\) | 1.38785 | + | 9.65271i | 0.0862368 | + | 0.599790i | ||||
\(260\) | 3.41824 | + | 1.00368i | 0.211990 | + | 0.0622459i | ||||
\(261\) | −5.08918 | + | 3.27062i | −0.315012 | + | 0.202446i | ||||
\(262\) | 3.48174 | + | 7.62394i | 0.215102 | + | 0.471008i | ||||
\(263\) | 18.0033 | − | 5.28625i | 1.11013 | − | 0.325964i | 0.325262 | − | 0.945624i | \(-0.394547\pi\) |
0.784871 | + | 0.619659i | \(0.212729\pi\) | |||||||
\(264\) | 3.14672 | − | 3.63151i | 0.193667 | − | 0.223504i | ||||
\(265\) | 8.55286 | − | 9.87052i | 0.525398 | − | 0.606341i | ||||
\(266\) | 0.499875 | − | 0.146776i | 0.0306493 | − | 0.00899944i | ||||
\(267\) | 5.86336 | + | 12.8390i | 0.358832 | + | 0.785732i | ||||
\(268\) | −8.62225 | + | 5.54118i | −0.526688 | + | 0.338482i | ||||
\(269\) | 29.3410 | + | 8.61530i | 1.78895 | + | 0.525284i | 0.996420 | − | 0.0845442i | \(-0.0269434\pi\) |
0.792534 | + | 0.609828i | \(0.208762\pi\) | |||||||
\(270\) | 0.142315 | + | 0.989821i | 0.00866101 | + | 0.0602386i | ||||
\(271\) | 3.23821 | − | 7.09069i | 0.196707 | − | 0.430728i | −0.785416 | − | 0.618968i | \(-0.787551\pi\) |
0.982123 | + | 0.188240i | \(0.0602782\pi\) | |||||||
\(272\) | 0.684717 | − | 4.76231i | 0.0415171 | − | 0.288758i | ||||
\(273\) | −7.58121 | − | 4.87215i | −0.458836 | − | 0.294876i | ||||
\(274\) | −11.3172 | − | 13.0607i | −0.683695 | − | 0.789026i | ||||
\(275\) | 4.80517 | 0.289763 | ||||||||
\(276\) | 2.14649 | + | 4.28866i | 0.129204 | + | 0.258147i | ||||
\(277\) | 1.31361 | 0.0789272 | 0.0394636 | − | 0.999221i | \(-0.487435\pi\) | ||||
0.0394636 | + | 0.999221i | \(0.487435\pi\) | |||||||
\(278\) | 3.91808 | + | 4.52170i | 0.234991 | + | 0.271194i | ||||
\(279\) | 5.39365 | + | 3.46629i | 0.322909 | + | 0.207521i | ||||
\(280\) | 0.359999 | − | 2.50385i | 0.0215141 | − | 0.149634i | ||||
\(281\) | 5.46294 | − | 11.9622i | 0.325892 | − | 0.713604i | −0.673787 | − | 0.738925i | \(-0.735334\pi\) |
0.999679 | + | 0.0253215i | \(0.00806096\pi\) | |||||||
\(282\) | −0.762240 | − | 5.30150i | −0.0453908 | − | 0.315700i | ||||
\(283\) | −27.5648 | − | 8.09377i | −1.63856 | − | 0.481124i | −0.672640 | − | 0.739969i | \(-0.734840\pi\) |
−0.965919 | + | 0.258845i | \(0.916658\pi\) | |||||||
\(284\) | 1.89126 | − | 1.21544i | 0.112225 | − | 0.0721229i | ||||
\(285\) | −0.0855559 | − | 0.187341i | −0.00506790 | − | 0.0110971i | ||||
\(286\) | 16.4252 | − | 4.82288i | 0.971243 | − | 0.285183i | ||||
\(287\) | 16.6415 | − | 19.2053i | 0.982316 | − | 1.13365i | ||||
\(288\) | −0.654861 | + | 0.755750i | −0.0385880 | + | 0.0445330i | ||||
\(289\) | −5.89940 | + | 1.73222i | −0.347023 | + | 0.101895i | ||||
\(290\) | −2.51306 | − | 5.50283i | −0.147572 | − | 0.323138i | ||||
\(291\) | −0.721858 | + | 0.463910i | −0.0423161 | + | 0.0271949i | ||||
\(292\) | 3.60111 | + | 1.05738i | 0.210739 | + | 0.0618785i | ||||
\(293\) | −2.28734 | − | 15.9088i | −0.133628 | − | 0.929402i | −0.940770 | − | 0.339045i | \(-0.889896\pi\) |
0.807142 | − | 0.590357i | \(-0.201013\pi\) | |||||||
\(294\) | 0.249722 | − | 0.546815i | 0.0145641 | − | 0.0318909i | ||||
\(295\) | 1.10028 | − | 7.65265i | 0.0640611 | − | 0.445554i | ||||
\(296\) | 3.24316 | + | 2.08425i | 0.188505 | + | 0.121145i | ||||
\(297\) | 3.14672 | + | 3.63151i | 0.182591 | + | 0.210721i | ||||
\(298\) | 15.7785 | 0.914022 | ||||||||
\(299\) | −1.82715 | + | 16.9874i | −0.105667 | + | 0.982405i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 3.19403 | + | 3.68611i | 0.184101 | + | 0.212464i | ||||
\(302\) | 2.43753 | + | 1.56651i | 0.140264 | + | 0.0901422i | ||||
\(303\) | −0.931205 | + | 6.47667i | −0.0534963 | + | 0.372075i | ||||
\(304\) | 0.0855559 | − | 0.187341i | 0.00490697 | − | 0.0107448i | ||||
\(305\) | −1.56095 | − | 10.8567i | −0.0893800 | − | 0.621651i | ||||
\(306\) | 4.61639 | + | 1.35550i | 0.263902 | + | 0.0774885i | ||||
\(307\) | −7.85616 | + | 5.04884i | −0.448374 | + | 0.288153i | −0.745277 | − | 0.666755i | \(-0.767683\pi\) |
0.296902 | + | 0.954908i | \(0.404046\pi\) | |||||||
\(308\) | −5.04943 | − | 11.0567i | −0.287718 | − | 0.630015i | ||||
\(309\) | 6.60458 | − | 1.93928i | 0.375722 | − | 0.110322i | ||||
\(310\) | −4.19860 | + | 4.84545i | −0.238465 | + | 0.275203i | ||||
\(311\) | 14.2198 | − | 16.4105i | 0.806330 | − | 0.930555i | −0.192380 | − | 0.981320i | \(-0.561621\pi\) |
0.998711 | + | 0.0507655i | \(0.0161661\pi\) | |||||||
\(312\) | −3.41824 | + | 1.00368i | −0.193519 | + | 0.0568224i | ||||
\(313\) | 3.51477 | + | 7.69628i | 0.198667 | + | 0.435020i | 0.982577 | − | 0.185854i | \(-0.0595052\pi\) |
−0.783911 | + | 0.620874i | \(0.786778\pi\) | |||||||
\(314\) | −6.09043 | + | 3.91408i | −0.343703 | + | 0.220884i | ||||
\(315\) | 2.42713 | + | 0.712670i | 0.136753 | + | 0.0401544i | ||||
\(316\) | −1.36834 | − | 9.51703i | −0.0769753 | − | 0.535375i | ||||
\(317\) | 9.03182 | − | 19.7769i | 0.507277 | − | 1.11078i | −0.466758 | − | 0.884385i | \(-0.654578\pi\) |
0.974035 | − | 0.226397i | \(-0.0726947\pi\) | |||||||
\(318\) | −1.85871 | + | 12.9276i | −0.104231 | + | 0.724946i | ||||
\(319\) | −24.4544 | − | 15.7159i | −1.36918 | − | 0.879920i | ||||
\(320\) | −0.654861 | − | 0.755750i | −0.0366078 | − | 0.0422477i | ||||
\(321\) | −3.53477 | −0.197292 | ||||||||
\(322\) | 12.1238 | − | 0.432424i | 0.675634 | − | 0.0240980i | ||||
\(323\) | −0.990898 | −0.0551350 | ||||||||
\(324\) | −0.654861 | − | 0.755750i | −0.0363812 | − | 0.0419861i | ||||
\(325\) | −2.99700 | − | 1.92606i | −0.166244 | − | 0.106838i | ||||
\(326\) | 2.38760 | − | 16.6061i | 0.132237 | − | 0.919729i | ||||
\(327\) | 8.60614 | − | 18.8448i | 0.475921 | − | 1.04212i | ||||
\(328\) | −1.42969 | − | 9.94371i | −0.0789414 | − | 0.549050i | ||||
\(329\) | −12.9997 | − | 3.81707i | −0.716699 | − | 0.210442i | ||||
\(330\) | −4.04237 | + | 2.59787i | −0.222525 | + | 0.143008i | ||||
\(331\) | −2.65682 | − | 5.81762i | −0.146032 | − | 0.319765i | 0.822455 | − | 0.568830i | \(-0.192604\pi\) |
−0.968487 | + | 0.249065i | \(0.919877\pi\) | |||||||
\(332\) | −1.45486 | + | 0.427187i | −0.0798460 | + | 0.0234449i | ||||
\(333\) | −2.52459 | + | 2.91353i | −0.138346 | + | 0.159660i | ||||
\(334\) | 14.7906 | − | 17.0693i | 0.809306 | − | 0.933989i | ||||
\(335\) | 9.83412 | − | 2.88756i | 0.537295 | − | 0.157764i | ||||
\(336\) | 1.05083 | + | 2.30100i | 0.0573276 | + | 0.125530i | ||||
\(337\) | −6.50646 | + | 4.18145i | −0.354429 | + | 0.227778i | −0.705724 | − | 0.708487i | \(-0.749378\pi\) |
0.351294 | + | 0.936265i | \(0.385742\pi\) | |||||||
\(338\) | 0.295798 | + | 0.0868542i | 0.0160893 | + | 0.00472425i | ||||
\(339\) | 1.15544 | + | 8.03626i | 0.0627549 | + | 0.436470i | ||||
\(340\) | −1.99868 | + | 4.37650i | −0.108394 | + | 0.237349i | ||||
\(341\) | −4.38445 | + | 30.4945i | −0.237431 | + | 1.65137i | ||||
\(342\) | 0.173259 | + | 0.111347i | 0.00936875 | + | 0.00602093i | ||||
\(343\) | −12.5915 | − | 14.5314i | −0.679879 | − | 0.784623i | ||||
\(344\) | 1.92814 | 0.103959 | ||||||||
\(345\) | −0.851290 | − | 4.71967i | −0.0458319 | − | 0.254099i | ||||
\(346\) | −20.9274 | −1.12506 | ||||||||
\(347\) | 0.156342 | + | 0.180428i | 0.00839287 | + | 0.00968589i | 0.759930 | − | 0.650004i | \(-0.225233\pi\) |
−0.751538 | + | 0.659690i | \(0.770687\pi\) | |||||||
\(348\) | 5.08918 | + | 3.27062i | 0.272809 | + | 0.175323i | ||||
\(349\) | −1.12141 | + | 7.79958i | −0.0600277 | + | 0.417502i | 0.937545 | + | 0.347865i | \(0.113093\pi\) |
−0.997572 | + | 0.0696372i | \(0.977816\pi\) | |||||||
\(350\) | −1.05083 | + | 2.30100i | −0.0561694 | + | 0.122994i | ||||
\(351\) | −0.507003 | − | 3.52628i | −0.0270618 | − | 0.188219i | ||||
\(352\) | −4.61053 | − | 1.35377i | −0.245742 | − | 0.0721564i | ||||
\(353\) | 6.04280 | − | 3.88347i | 0.321626 | − | 0.206696i | −0.369858 | − | 0.929088i | \(-0.620594\pi\) |
0.691484 | + | 0.722392i | \(0.256957\pi\) | |||||||
\(354\) | 3.21172 | + | 7.03268i | 0.170701 | + | 0.373783i | ||||
\(355\) | −2.15707 | + | 0.633374i | −0.114486 | + | 0.0336160i | ||||
\(356\) | 9.24301 | − | 10.6670i | 0.489878 | − | 0.565350i | ||||
\(357\) | 7.97005 | − | 9.19793i | 0.421820 | − | 0.486806i | ||||
\(358\) | −0.927207 | + | 0.272252i | −0.0490044 | + | 0.0143890i | ||||
\(359\) | 7.16627 | + | 15.6919i | 0.378221 | + | 0.828189i | 0.999022 | + | 0.0442205i | \(0.0140804\pi\) |
−0.620800 | + | 0.783969i | \(0.713192\pi\) | |||||||
\(360\) | 0.841254 | − | 0.540641i | 0.0443380 | − | 0.0284943i | ||||
\(361\) | 18.1897 | + | 5.34097i | 0.957351 | + | 0.281104i | ||||
\(362\) | 3.06544 | + | 21.3206i | 0.161116 | + | 1.12059i | ||||
\(363\) | −5.02224 | + | 10.9972i | −0.263599 | + | 0.577202i | ||||
\(364\) | −1.28251 | + | 8.92007i | −0.0672219 | + | 0.467539i | ||||
\(365\) | −3.15734 | − | 2.02910i | −0.165263 | − | 0.106208i | ||||
\(366\) | 7.18272 | + | 8.28930i | 0.375447 | + | 0.433289i | ||||
\(367\) | −6.12805 | −0.319881 | −0.159941 | − | 0.987127i | \(-0.551130\pi\) | ||||
−0.159941 | + | 0.987127i | \(0.551130\pi\) | |||||||
\(368\) | 3.00941 | − | 3.73409i | 0.156877 | − | 0.194653i | ||||
\(369\) | 10.0460 | 0.522972 | ||||||||
\(370\) | −2.52459 | − | 2.91353i | −0.131247 | − | 0.151467i | ||||
\(371\) | 27.7933 | + | 17.8617i | 1.44296 | + | 0.927333i | ||||
\(372\) | 0.912444 | − | 6.34619i | 0.0473080 | − | 0.329034i | ||||
\(373\) | −11.0230 | + | 24.1370i | −0.570748 | + | 1.24976i | 0.375650 | + | 0.926762i | \(0.377420\pi\) |
−0.946398 | + | 0.323003i | \(0.895308\pi\) | |||||||
\(374\) | 3.29018 | + | 22.8837i | 0.170131 | + | 1.18329i | ||||
\(375\) | 0.959493 | + | 0.281733i | 0.0495480 | + | 0.0145486i | ||||
\(376\) | −4.50577 | + | 2.89568i | −0.232367 | + | 0.149333i | ||||
\(377\) | 8.95288 | + | 19.6041i | 0.461097 | + | 1.00966i | ||||
\(378\) | −2.42713 | + | 0.712670i | −0.124838 | + | 0.0366558i | ||||
\(379\) | 13.3664 | − | 15.4257i | 0.686588 | − | 0.792364i | −0.300288 | − | 0.953849i | \(-0.597083\pi\) |
0.986875 | + | 0.161484i | \(0.0516281\pi\) | |||||||
\(380\) | −0.134870 | + | 0.155649i | −0.00691871 | + | 0.00798462i | ||||
\(381\) | 4.14385 | − | 1.21674i | 0.212296 | − | 0.0623356i | ||||
\(382\) | 9.48329 | + | 20.7655i | 0.485207 | + | 1.06246i | ||||
\(383\) | 22.1342 | − | 14.2248i | 1.13100 | − | 0.726852i | 0.165235 | − | 0.986254i | \(-0.447162\pi\) |
0.965769 | + | 0.259402i | \(0.0835254\pi\) | |||||||
\(384\) | 0.959493 | + | 0.281733i | 0.0489639 | + | 0.0143771i | ||||
\(385\) | 1.72986 | + | 12.0314i | 0.0881617 | + | 0.613178i | ||||
\(386\) | −4.37582 | + | 9.58171i | −0.222723 | + | 0.487696i | ||||
\(387\) | −0.274403 | + | 1.90852i | −0.0139487 | + | 0.0970154i | ||||
\(388\) | 0.721858 | + | 0.463910i | 0.0366468 | + | 0.0235515i | ||||
\(389\) | −7.19526 | − | 8.30377i | −0.364814 | − | 0.421018i | 0.543433 | − | 0.839453i | \(-0.317124\pi\) |
−0.908247 | + | 0.418435i | \(0.862579\pi\) | |||||||
\(390\) | 3.56254 | 0.180396 | ||||||||
\(391\) | −22.3571 | − | 5.70744i | −1.13065 | − | 0.288638i | ||||
\(392\) | −0.601139 | −0.0303621 | ||||||||
\(393\) | 5.48861 | + | 6.33420i | 0.276864 | + | 0.319518i | ||||
\(394\) | −4.69899 | − | 3.01986i | −0.236732 | − | 0.152138i | ||||
\(395\) | −1.36834 | + | 9.51703i | −0.0688488 | + | 0.478854i | ||||
\(396\) | 1.99614 | − | 4.37094i | 0.100310 | − | 0.219648i | ||||
\(397\) | −3.64706 | − | 25.3658i | −0.183041 | − | 1.27308i | −0.849522 | − | 0.527553i | \(-0.823109\pi\) |
0.666481 | − | 0.745522i | \(-0.267800\pi\) | |||||||
\(398\) | 18.7180 | + | 5.49609i | 0.938247 | + | 0.275494i | ||||
\(399\) | 0.438275 | − | 0.281662i | 0.0219412 | − | 0.0141007i | ||||
\(400\) | 0.415415 | + | 0.909632i | 0.0207708 | + | 0.0454816i | ||||
\(401\) | −18.4177 | + | 5.40792i | −0.919735 | + | 0.270059i | −0.707133 | − | 0.707080i | \(-0.750012\pi\) |
−0.212602 | + | 0.977139i | \(0.568194\pi\) | |||||||
\(402\) | −6.71185 | + | 7.74589i | −0.334757 | + | 0.386330i | ||||
\(403\) | 14.9577 | − | 17.2621i | 0.745097 | − | 0.859887i | ||||
\(404\) | 6.27822 | − | 1.84345i | 0.312353 | − | 0.0917152i | ||||
\(405\) | 0.415415 | + | 0.909632i | 0.0206421 | + | 0.0452000i | ||||
\(406\) | 12.8736 | − | 8.27334i | 0.638904 | − | 0.410599i | ||||
\(407\) | −17.7743 | − | 5.21900i | −0.881038 | − | 0.258696i | ||||
\(408\) | −0.684717 | − | 4.76231i | −0.0338985 | − | 0.235770i | ||||
\(409\) | 3.17599 | − | 6.95445i | 0.157043 | − | 0.343876i | −0.814713 | − | 0.579864i | \(-0.803106\pi\) |
0.971756 | + | 0.235989i | \(0.0758328\pi\) | |||||||
\(410\) | −1.42969 | + | 9.94371i | −0.0706074 | + | 0.491085i | ||||
\(411\) | −14.5384 | − | 9.34324i | −0.717125 | − | 0.460868i | ||||
\(412\) | −4.50767 | − | 5.20213i | −0.222077 | − | 0.256291i | ||||
\(413\) | 19.5572 | 0.962346 | ||||||||
\(414\) | 3.26780 | + | 3.51020i | 0.160604 | + | 0.172517i | ||||
\(415\) | 1.51628 | 0.0744315 | ||||||||
\(416\) | 2.33297 | + | 2.69239i | 0.114383 | + | 0.132005i | ||||
\(417\) | 5.03328 | + | 3.23469i | 0.246481 | + | 0.158404i | ||||
\(418\) | −0.140840 | + | 0.979566i | −0.00688873 | + | 0.0479122i | ||||
\(419\) | 1.27708 | − | 2.79641i | 0.0623894 | − | 0.136614i | −0.875869 | − | 0.482549i | \(-0.839711\pi\) |
0.938258 | + | 0.345935i | \(0.112438\pi\) | |||||||
\(420\) | −0.359999 | − | 2.50385i | −0.0175662 | − | 0.122175i | ||||
\(421\) | 23.6639 | + | 6.94836i | 1.15331 | + | 0.338642i | 0.801830 | − | 0.597553i | \(-0.203860\pi\) |
0.351481 | + | 0.936195i | \(0.385678\pi\) | |||||||
\(422\) | −3.56299 | + | 2.28979i | −0.173444 | + | 0.111465i | ||||
\(423\) | −2.22497 | − | 4.87200i | −0.108182 | − | 0.236885i | ||||
\(424\) | 12.5315 | − | 3.67959i | 0.608585 | − | 0.178697i | ||||
\(425\) | 3.15072 | − | 3.63613i | 0.152832 | − | 0.176378i | ||||
\(426\) | 1.47222 | − | 1.69903i | 0.0713292 | − | 0.0823183i | ||||
\(427\) | 26.6215 | − | 7.81679i | 1.28831 | − | 0.378281i | ||||
\(428\) | 1.46840 | + | 3.21534i | 0.0709777 | + | 0.155419i | ||||
\(429\) | 14.4011 | − | 9.25503i | 0.695292 | − | 0.446837i | ||||
\(430\) | −1.85004 | − | 0.543221i | −0.0892169 | − | 0.0261964i | ||||
\(431\) | −0.587085 | − | 4.08326i | −0.0282789 | − | 0.196684i | 0.970785 | − | 0.239953i | \(-0.0771319\pi\) |
−0.999063 | + | 0.0432688i | \(0.986223\pi\) | |||||||
\(432\) | −0.415415 | + | 0.909632i | −0.0199867 | + | 0.0437647i | ||||
\(433\) | 0.503735 | − | 3.50355i | 0.0242079 | − | 0.168370i | −0.974131 | − | 0.225984i | \(-0.927440\pi\) |
0.998339 | + | 0.0576142i | \(0.0183493\pi\) | |||||||
\(434\) | −13.6438 | − | 8.76832i | −0.654922 | − | 0.420893i | ||||
\(435\) | −3.96159 | − | 4.57192i | −0.189944 | − | 0.219207i | ||||
\(436\) | −20.7170 | −0.992163 | ||||||||
\(437\) | −0.849425 | − | 0.504042i | −0.0406335 | − | 0.0241116i | ||||
\(438\) | 3.75314 | 0.179332 | ||||||||
\(439\) | −10.2897 | − | 11.8749i | −0.491099 | − | 0.566758i | 0.455060 | − | 0.890461i | \(-0.349618\pi\) |
−0.946159 | + | 0.323702i | \(0.895072\pi\) | |||||||
\(440\) | 4.04237 | + | 2.59787i | 0.192712 | + | 0.123849i | ||||
\(441\) | 0.0855510 | − | 0.595020i | 0.00407386 | − | 0.0283343i | ||||
\(442\) | 7.12038 | − | 15.5915i | 0.338682 | − | 0.741610i | ||||
\(443\) | 1.76224 | + | 12.2566i | 0.0837263 | + | 0.582329i | 0.987891 | + | 0.155146i | \(0.0495849\pi\) |
−0.904165 | + | 0.427183i | \(0.859506\pi\) | |||||||
\(444\) | 3.69899 | + | 1.08612i | 0.175546 | + | 0.0515450i | ||||
\(445\) | −11.8738 | + | 7.63085i | −0.562874 | + | 0.361737i | ||||
\(446\) | −2.69214 | − | 5.89497i | −0.127477 | − | 0.279135i | ||||
\(447\) | 15.1393 | − | 4.44531i | 0.716065 | − | 0.210256i | ||||
\(448\) | 1.65653 | − | 1.91174i | 0.0782639 | − | 0.0903213i | ||||
\(449\) | −21.7447 | + | 25.0947i | −1.02620 | + | 1.18429i | −0.0435029 | + | 0.999053i | \(0.513852\pi\) |
−0.982693 | + | 0.185240i | \(0.940694\pi\) | |||||||
\(450\) | −0.959493 | + | 0.281733i | −0.0452309 | + | 0.0132810i | ||||
\(451\) | 20.0532 | + | 43.9103i | 0.944267 | + | 2.06766i | ||||
\(452\) | 6.83005 | − | 4.38941i | 0.321259 | − | 0.206460i | ||||
\(453\) | 2.78013 | + | 0.816319i | 0.130622 | + | 0.0383540i | ||||
\(454\) | 2.84446 | + | 19.7837i | 0.133497 | + | 0.928494i | ||||
\(455\) | 3.74364 | − | 8.19742i | 0.175504 | − | 0.384301i | ||||
\(456\) | 0.0293102 | − | 0.203857i | 0.00137257 | − | 0.00954646i | ||||
\(457\) | −10.5476 | − | 6.77852i | −0.493395 | − | 0.317086i | 0.270175 | − | 0.962811i | \(-0.412919\pi\) |
−0.763569 | + | 0.645726i | \(0.776555\pi\) | |||||||
\(458\) | −12.5290 | − | 14.4593i | −0.585444 | − | 0.675638i | ||||
\(459\) | 4.81128 | 0.224572 | ||||||||
\(460\) | −3.93953 | + | 2.73498i | −0.183681 | + | 0.127519i | ||||
\(461\) | −34.6704 | −1.61476 | −0.807382 | − | 0.590029i | \(-0.799116\pi\) | ||||
−0.807382 | + | 0.590029i | \(0.799116\pi\) | |||||||
\(462\) | −7.95993 | − | 9.18625i | −0.370330 | − | 0.427383i | ||||
\(463\) | −11.8546 | − | 7.61847i | −0.550928 | − | 0.354060i | 0.235371 | − | 0.971906i | \(-0.424369\pi\) |
−0.786300 | + | 0.617845i | \(0.788006\pi\) | |||||||
\(464\) | 0.860936 | − | 5.98794i | 0.0399679 | − | 0.277983i | ||||
\(465\) | −2.66341 | + | 5.83206i | −0.123513 | + | 0.270455i | ||||
\(466\) | 2.56029 | + | 17.8072i | 0.118603 | + | 0.824904i | ||||
\(467\) | 7.61643 | + | 2.23639i | 0.352446 | + | 0.103488i | 0.453163 | − | 0.891428i | \(-0.350295\pi\) |
−0.100717 | + | 0.994915i | \(0.532114\pi\) | |||||||
\(468\) | −2.99700 | + | 1.92606i | −0.138536 | + | 0.0890320i | ||||
\(469\) | 10.7703 | + | 23.5836i | 0.497325 | + | 1.08899i | ||||
\(470\) | 5.13906 | − | 1.50896i | 0.237047 | − | 0.0696033i | ||||
\(471\) | −4.74100 | + | 5.47141i | −0.218454 | + | 0.252109i | ||||
\(472\) | 5.06295 | − | 5.84296i | 0.233041 | − | 0.268944i | ||||
\(473\) | −8.88976 | + | 2.61027i | −0.408752 | + | 0.120020i | ||||
\(474\) | −3.99417 | − | 8.74602i | −0.183458 | − | 0.401718i | ||||
\(475\) | 0.173259 | − | 0.111347i | 0.00794965 | − | 0.00510893i | ||||
\(476\) | −11.6776 | − | 3.42886i | −0.535243 | − | 0.157161i | ||||
\(477\) | 1.85871 | + | 12.9276i | 0.0851046 | + | 0.591916i | ||||
\(478\) | −5.81540 | + | 12.7340i | −0.265990 | + | 0.582438i | ||||
\(479\) | 3.86075 | − | 26.8521i | 0.176402 | − | 1.22690i | −0.688602 | − | 0.725139i | \(-0.741775\pi\) |
0.865004 | − | 0.501765i | \(-0.167316\pi\) | |||||||
\(480\) | −0.841254 | − | 0.540641i | −0.0383978 | − | 0.0246768i | ||||
\(481\) | 8.99394 | + | 10.3796i | 0.410089 | + | 0.473267i | ||||
\(482\) | −7.76452 | −0.353664 | ||||||||
\(483\) | 11.5109 | − | 3.83058i | 0.523763 | − | 0.174297i | ||||
\(484\) | 12.0897 | 0.549531 | ||||||||
\(485\) | −0.561919 | − | 0.648489i | −0.0255154 | − | 0.0294464i | ||||
\(486\) | −0.841254 | − | 0.540641i | −0.0381600 | − | 0.0245240i | ||||
\(487\) | −1.59935 | + | 11.1238i | −0.0724737 | + | 0.504065i | 0.920960 | + | 0.389657i | \(0.127406\pi\) |
−0.993434 | + | 0.114409i | \(0.963503\pi\) | |||||||
\(488\) | 4.55640 | − | 9.97713i | 0.206259 | − | 0.451644i | ||||
\(489\) | −2.38760 | − | 16.6061i | −0.107971 | − | 0.750956i | ||||
\(490\) | 0.576789 | + | 0.169360i | 0.0260567 | + | 0.00765092i | ||||
\(491\) | −20.1918 | + | 12.9765i | −0.911243 | + | 0.585621i | −0.910105 | − | 0.414379i | \(-0.863999\pi\) |
−0.00113891 | + | 0.999999i | \(0.500363\pi\) | |||||||
\(492\) | −4.17325 | − | 9.13813i | −0.188144 | − | 0.411979i | ||||
\(493\) | −27.9269 | + | 8.20009i | −1.25777 | + | 0.369314i | ||||
\(494\) | 0.480482 | − | 0.554506i | 0.0216179 | − | 0.0249484i | ||||
\(495\) | −3.14672 | + | 3.63151i | −0.141435 | + | 0.163224i | ||||
\(496\) | −6.15174 | + | 1.80631i | −0.276221 | + | 0.0811059i | ||||
\(497\) | −2.36242 | − | 5.17298i | −0.105969 | − | 0.232040i | ||||
\(498\) | −1.27558 | + | 0.819765i | −0.0571601 | + | 0.0367345i | ||||
\(499\) | −8.50852 | − | 2.49833i | −0.380894 | − | 0.111840i | 0.0856803 | − | 0.996323i | \(-0.472694\pi\) |
−0.466574 | + | 0.884482i | \(0.654512\pi\) | |||||||
\(500\) | −0.142315 | − | 0.989821i | −0.00636451 | − | 0.0442662i | ||||
\(501\) | 9.38251 | − | 20.5448i | 0.419180 | − | 0.917875i | ||||
\(502\) | 1.97610 | − | 13.7441i | 0.0881977 | − | 0.613428i | ||||
\(503\) | 29.7195 | + | 19.0995i | 1.32513 | + | 0.851607i | 0.995706 | − | 0.0925766i | \(-0.0295103\pi\) |
0.329420 | + | 0.944183i | \(0.393147\pi\) | |||||||
\(504\) | 1.65653 | + | 1.91174i | 0.0737879 | + | 0.0851558i | ||||
\(505\) | −6.54327 | −0.291172 | ||||||||
\(506\) | −8.81988 | + | 21.2902i | −0.392091 | + | 0.946465i | ||||
\(507\) | 0.308286 | 0.0136915 | ||||||||
\(508\) | −2.82820 | − | 3.26392i | −0.125481 | − | 0.144813i | ||||
\(509\) | −34.2295 | − | 21.9980i | −1.51720 | − | 0.975042i | −0.992298 | − | 0.123877i | \(-0.960467\pi\) |
−0.524897 | − | 0.851165i | \(-0.675896\pi\) | |||||||
\(510\) | −0.684717 | + | 4.76231i | −0.0303198 | + | 0.210879i | ||||
\(511\) | 3.94392 | − | 8.63597i | 0.174469 | − | 0.382033i | ||||
\(512\) | −0.142315 | − | 0.989821i | −0.00628949 | − | 0.0437443i | ||||
\(513\) | 0.197610 | + | 0.0580236i | 0.00872471 | + | 0.00256181i | ||||
\(514\) | 18.0674 | − | 11.6112i | 0.796917 | − | 0.512147i | ||||
\(515\) | 2.85947 | + | 6.26137i | 0.126003 | + | 0.275909i | ||||
\(516\) | 1.85004 | − | 0.543221i | 0.0814435 | − | 0.0239140i | ||||
\(517\) | 16.8539 | − | 19.4504i | 0.741233 | − | 0.855428i | ||||
\(518\) | 6.38618 | − | 7.37005i | 0.280593 | − | 0.323821i | ||||
\(519\) | −20.0797 | + | 5.89593i | −0.881401 | + | 0.258803i | ||||
\(520\) | −1.47993 | − | 3.24060i | −0.0648994 | − | 0.142110i | ||||
\(521\) | −16.2483 | + | 10.4421i | −0.711851 | + | 0.457479i | −0.845794 | − | 0.533510i | \(-0.820873\pi\) |
0.133943 | + | 0.990989i | \(0.457236\pi\) | |||||||
\(522\) | 5.80447 | + | 1.70435i | 0.254055 | + | 0.0745972i | ||||
\(523\) | 2.41549 | + | 16.8001i | 0.105622 | + | 0.734616i | 0.971958 | + | 0.235154i | \(0.0755596\pi\) |
−0.866336 | + | 0.499461i | \(0.833531\pi\) | |||||||
\(524\) | 3.48174 | − | 7.62394i | 0.152100 | − | 0.333053i | ||||
\(525\) | −0.359999 | + | 2.50385i | −0.0157117 | + | 0.109277i | ||||
\(526\) | −15.7848 | − | 10.1442i | −0.688248 | − | 0.442310i | ||||
\(527\) | 20.2007 | + | 23.3128i | 0.879955 | + | 1.01552i | ||||
\(528\) | −4.80517 | −0.209118 | ||||||||
\(529\) | −16.2619 | − | 16.2650i | −0.707039 | − | 0.707174i | ||||
\(530\) | −13.0606 | −0.567315 | ||||||||
\(531\) | 5.06295 | + | 5.84296i | 0.219713 | + | 0.253563i | ||||
\(532\) | −0.438275 | − | 0.281662i | −0.0190016 | − | 0.0122116i | ||||
\(533\) | 5.09333 | − | 35.4249i | 0.220617 | − | 1.53442i | ||||
\(534\) | 5.86336 | − | 12.8390i | 0.253732 | − | 0.555596i | ||||
\(535\) | −0.503051 | − | 3.49879i | −0.0217488 | − | 0.151266i | ||||
\(536\) | 9.83412 | + | 2.88756i | 0.424769 | + | 0.124723i | ||||
\(537\) | −0.812946 | + | 0.522449i | −0.0350812 | + | 0.0225453i | ||||
\(538\) | −12.7033 | − | 27.8163i | −0.547677 | − | 1.19925i | ||||
\(539\) | 2.77157 | − | 0.813806i | 0.119380 | − | 0.0350531i | ||||
\(540\) | 0.654861 | − | 0.755750i | 0.0281807 | − | 0.0325223i | ||||
\(541\) | 22.4457 | − | 25.9037i | 0.965017 | − | 1.11369i | −0.0284532 | − | 0.999595i | \(-0.509058\pi\) |
0.993470 | − | 0.114094i | \(-0.0363964\pi\) | |||||||
\(542\) | −7.47936 | + | 2.19614i | −0.321266 | + | 0.0943322i | ||||
\(543\) | 8.94799 | + | 19.5934i | 0.383995 | + | 0.840832i | ||||
\(544\) | −4.04751 | + | 2.60118i | −0.173536 | + | 0.111525i | ||||
\(545\) | 19.8778 | + | 5.83665i | 0.851471 | + | 0.250015i | ||||
\(546\) | 1.28251 | + | 8.92007i | 0.0548865 | + | 0.381744i | ||||
\(547\) | −13.3785 | + | 29.2948i | −0.572023 | + | 1.25256i | 0.373690 | + | 0.927554i | \(0.378092\pi\) |
−0.945713 | + | 0.325003i | \(0.894635\pi\) | |||||||
\(548\) | −2.45946 | + | 17.1059i | −0.105063 | + | 0.730727i | ||||
\(549\) | 9.22714 | + | 5.92992i | 0.393805 | + | 0.253083i | ||||
\(550\) | −3.14672 | − | 3.63151i | −0.134177 | − | 0.154848i | ||||
\(551\) | −1.24592 | −0.0530778 | ||||||||
\(552\) | 1.83550 | − | 4.43068i | 0.0781239 | − | 0.188582i | ||||
\(553\) | −24.3218 | −1.03427 | ||||||||
\(554\) | −0.860232 | − | 0.992761i | −0.0365478 | − | 0.0421784i | ||||
\(555\) | −3.24316 | − | 2.08425i | −0.137664 | − | 0.0884715i | ||||
\(556\) | 0.851480 | − | 5.92217i | 0.0361108 | − | 0.251156i | ||||
\(557\) | −4.88047 | + | 10.6867i | −0.206792 | + | 0.452811i | −0.984402 | − | 0.175936i | \(-0.943705\pi\) |
0.777610 | + | 0.628747i | \(0.216432\pi\) | |||||||
\(558\) | −0.912444 | − | 6.34619i | −0.0386268 | − | 0.268656i | ||||
\(559\) | 6.59085 | + | 1.93525i | 0.278763 | + | 0.0818522i | ||||
\(560\) | −2.12803 | + | 1.36760i | −0.0899258 | + | 0.0577918i | ||||
\(561\) | 9.60400 | + | 21.0298i | 0.405481 | + | 0.887880i | ||||
\(562\) | −12.6179 | + | 3.70494i | −0.532253 | + | 0.156284i | ||||
\(563\) | 29.3144 | − | 33.8306i | 1.23546 | − | 1.42579i | 0.366855 | − | 0.930278i | \(-0.380434\pi\) |
0.868600 | − | 0.495514i | \(-0.165020\pi\) | |||||||
\(564\) | −3.50744 | + | 4.04781i | −0.147690 | + | 0.170443i | ||||
\(565\) | −7.79003 | + | 2.28736i | −0.327729 | + | 0.0962299i | ||||
\(566\) | 11.9343 | + | 26.1324i | 0.501635 | + | 1.09843i | ||||
\(567\) | −2.12803 | + | 1.36760i | −0.0893690 | + | 0.0574339i | ||||
\(568\) | −2.15707 | − | 0.633374i | −0.0905088 | − | 0.0265758i | ||||
\(569\) | −3.99159 | − | 27.7621i | −0.167336 | − | 1.16385i | −0.884362 | − | 0.466802i | \(-0.845406\pi\) |
0.717026 | − | 0.697047i | \(-0.245503\pi\) | |||||||
\(570\) | −0.0855559 | + | 0.187341i | −0.00358354 | + | 0.00784687i | ||||
\(571\) | 4.53861 | − | 31.5667i | 0.189935 | − | 1.32102i | −0.642237 | − | 0.766506i | \(-0.721993\pi\) |
0.832171 | − | 0.554519i | \(-0.187098\pi\) | |||||||
\(572\) | −14.4011 | − | 9.25503i | −0.602141 | − | 0.386972i | ||||
\(573\) | 14.9495 | + | 17.2526i | 0.624523 | + | 0.720738i | ||||
\(574\) | −25.4122 | −1.06069 | ||||||||
\(575\) | 4.55048 | − | 1.51430i | 0.189768 | − | 0.0631509i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −0.221839 | − | 0.256016i | −0.00923528 | − | 0.0106581i | 0.751113 | − | 0.660173i | \(-0.229517\pi\) |
−0.760348 | + | 0.649515i | \(0.774972\pi\) | |||||||
\(578\) | 5.17241 | + | 3.32410i | 0.215144 | + | 0.138265i | ||||
\(579\) | −1.49909 | + | 10.4264i | −0.0623000 | + | 0.433306i | ||||
\(580\) | −2.51306 | + | 5.50283i | −0.104349 | + | 0.228493i | ||||
\(581\) | 0.545861 | + | 3.79655i | 0.0226461 | + | 0.157507i | ||||
\(582\) | 0.823316 | + | 0.241748i | 0.0341276 | + | 0.0100208i | ||||
\(583\) | −52.7957 | + | 33.9297i | −2.18657 | + | 1.40523i | ||||
\(584\) | −1.55911 | − | 3.41397i | −0.0645164 | − | 0.141271i | ||||
\(585\) | 3.41824 | − | 1.00368i | 0.141327 | − | 0.0414972i | ||||
\(586\) | −10.5252 | + | 12.1467i | −0.434791 | + | 0.501776i | ||||
\(587\) | 13.5435 | − | 15.6300i | 0.558999 | − | 0.645119i | −0.403957 | − | 0.914778i | \(-0.632366\pi\) |
0.962956 | + | 0.269659i | \(0.0869110\pi\) | |||||||
\(588\) | −0.576789 | + | 0.169360i | −0.0237864 | + | 0.00698431i | ||||
\(589\) | 0.548537 | + | 1.20113i | 0.0226021 | + | 0.0494917i | ||||
\(590\) | −6.50402 | + | 4.17988i | −0.267766 | + | 0.172083i | ||||
\(591\) | −5.35944 | − | 1.57367i | −0.220458 | − | 0.0647323i | ||||
\(592\) | −0.548645 | − | 3.81591i | −0.0225492 | − | 0.156833i | ||||
\(593\) | −17.1200 | + | 37.4875i | −0.703033 | + | 1.53943i | 0.133222 | + | 0.991086i | \(0.457468\pi\) |
−0.836255 | + | 0.548341i | \(0.815260\pi\) | |||||||
\(594\) | 0.683847 | − | 4.75626i | 0.0280586 | − | 0.195152i | ||||
\(595\) | 10.2386 | + | 6.57993i | 0.419740 | + | 0.269751i | ||||
\(596\) | −10.3327 | − | 11.9246i | −0.423244 | − | 0.488449i | ||||
\(597\) | 19.5082 | 0.798417 | ||||||||
\(598\) | 14.0347 | − | 9.74350i | 0.573923 | − | 0.398441i | ||||
\(599\) | −27.1986 | −1.11131 | −0.555653 | − | 0.831415i | \(-0.687532\pi\) | ||||
−0.555653 | + | 0.831415i | \(0.687532\pi\) | |||||||
\(600\) | 0.654861 | + | 0.755750i | 0.0267346 | + | 0.0308533i | ||||
\(601\) | 28.3609 | + | 18.2265i | 1.15687 | + | 0.743472i | 0.970995 | − | 0.239102i | \(-0.0768529\pi\) |
0.185871 | + | 0.982574i | \(0.440489\pi\) | |||||||
\(602\) | 0.694130 | − | 4.82778i | 0.0282906 | − | 0.196766i | ||||
\(603\) | −4.25771 | + | 9.32308i | −0.173387 | + | 0.379665i | ||||
\(604\) | −0.412357 | − | 2.86800i | −0.0167786 | − | 0.116697i | ||||
\(605\) | −11.6000 | − | 3.40606i | −0.471606 | − | 0.138476i | ||||
\(606\) | 5.50455 | − | 3.53756i | 0.223607 | − | 0.143704i | ||||
\(607\) | −11.9613 | − | 26.1916i | −0.485494 | − | 1.06308i | −0.980916 | − | 0.194431i | \(-0.937714\pi\) |
0.495422 | − | 0.868652i | \(-0.335013\pi\) | |||||||
\(608\) | −0.197610 | + | 0.0580236i | −0.00801416 | + | 0.00235317i | ||||
\(609\) | 10.0212 | − | 11.5651i | 0.406081 | − | 0.468642i | ||||
\(610\) | −7.18272 | + | 8.28930i | −0.290820 | + | 0.335624i | ||||
\(611\) | −18.3081 | + | 5.37575i | −0.740667 | + | 0.217480i | ||||
\(612\) | −1.99868 | − | 4.37650i | −0.0807918 | − | 0.176909i | ||||
\(613\) | −0.524012 | + | 0.336762i | −0.0211647 | + | 0.0136017i | −0.551180 | − | 0.834386i | \(-0.685822\pi\) |
0.530016 | + | 0.847988i | \(0.322186\pi\) | |||||||
\(614\) | 8.96035 | + | 2.63100i | 0.361610 | + | 0.106178i | ||||
\(615\) | 1.42969 | + | 9.94371i | 0.0576507 | + | 0.400969i | ||||
\(616\) | −5.04943 | + | 11.0567i | −0.203447 | + | 0.445488i | ||||
\(617\) | −5.05430 | + | 35.1534i | −0.203478 | + | 1.41522i | 0.590383 | + | 0.807123i | \(0.298977\pi\) |
−0.793861 | + | 0.608099i | \(0.791932\pi\) | |||||||
\(618\) | −5.79069 | − | 3.72145i | −0.232936 | − | 0.149699i | ||||
\(619\) | −21.7922 | − | 25.1495i | −0.875901 | − | 1.01084i | −0.999828 | − | 0.0185525i | \(-0.994094\pi\) |
0.123927 | − | 0.992291i | \(-0.460451\pi\) | |||||||
\(620\) | 6.41145 | 0.257490 | ||||||||
\(621\) | 4.12437 | + | 2.44737i | 0.165505 | + | 0.0982094i | ||||
\(622\) | −21.7142 | −0.870661 | ||||||||
\(623\) | −23.3811 | − | 26.9832i | −0.936743 | − | 1.08106i | ||||
\(624\) | 2.99700 | + | 1.92606i | 0.119976 | + | 0.0771040i | ||||
\(625\) | −0.142315 | + | 0.989821i | −0.00569259 | + | 0.0395929i | ||||
\(626\) | 3.51477 | − | 7.69628i | 0.140479 | − | 0.307605i | ||||
\(627\) | 0.140840 | + | 0.979566i | 0.00562462 | + | 0.0391201i | ||||
\(628\) | 6.94645 | + | 2.03966i | 0.277194 | + | 0.0813914i | ||||
\(629\) | −15.6037 | + | 10.0279i | −0.622162 | + | 0.399839i | ||||
\(630\) | −1.05083 | − | 2.30100i | −0.0418662 | − | 0.0916741i | ||||
\(631\) | 3.58344 | − | 1.05219i | 0.142655 | − | 0.0418872i | −0.209626 | − | 0.977782i | \(-0.567225\pi\) |
0.352280 | + | 0.935895i | \(0.385406\pi\) | |||||||
\(632\) | −6.29642 | + | 7.26646i | −0.250458 | + | 0.289044i | ||||
\(633\) | −2.77355 | + | 3.20085i | −0.110239 | + | 0.127222i | ||||
\(634\) | −20.8610 | + | 6.12534i | −0.828495 | + | 0.243268i | ||||
\(635\) | 1.79409 | + | 3.92851i | 0.0711963 | + | 0.155898i | ||||
\(636\) | 10.9873 | − | 7.06108i | 0.435673 | − | 0.279990i | ||||
\(637\) | −2.05483 | − | 0.603354i | −0.0814155 | − | 0.0239057i | ||||
\(638\) | 4.13695 | + | 28.7731i | 0.163783 | + | 1.13914i | ||||
\(639\) | 0.933911 | − | 2.04498i | 0.0369449 | − | 0.0808982i | ||||
\(640\) | −0.142315 | + | 0.989821i | −0.00562549 | + | 0.0391261i | ||||
\(641\) | −5.65083 | − | 3.63157i | −0.223194 | − | 0.143438i | 0.424266 | − | 0.905538i | \(-0.360532\pi\) |
−0.647460 | + | 0.762099i | \(0.724169\pi\) | |||||||
\(642\) | 2.31478 | + | 2.67140i | 0.0913572 | + | 0.105432i | ||||
\(643\) | −1.96479 | −0.0774837 | −0.0387418 | − | 0.999249i | \(-0.512335\pi\) | ||||
−0.0387418 | + | 0.999249i | \(0.512335\pi\) | |||||||
\(644\) | −8.26621 | − | 8.87939i | −0.325734 | − | 0.349897i | ||||
\(645\) | −1.92814 | −0.0759206 | ||||||||
\(646\) | 0.648900 | + | 0.748871i | 0.0255306 | + | 0.0294639i | ||||
\(647\) | −15.2562 | − | 9.80454i | −0.599782 | − | 0.385456i | 0.205231 | − | 0.978714i | \(-0.434205\pi\) |
−0.805013 | + | 0.593257i | \(0.797842\pi\) | |||||||
\(648\) | −0.142315 | + | 0.989821i | −0.00559065 | + | 0.0388839i | ||||
\(649\) | −15.4328 | + | 33.7932i | −0.605792 | + | 1.32650i | ||||
\(650\) | 0.507003 | + | 3.52628i | 0.0198863 | + | 0.138312i | ||||
\(651\) | −15.5614 | − | 4.56924i | −0.609900 | − | 0.179083i | ||||
\(652\) | −14.1136 | + | 9.07028i | −0.552732 | + | 0.355220i | ||||
\(653\) | −14.9567 | − | 32.7506i | −0.585301 | − | 1.28163i | −0.938240 | − | 0.345985i | \(-0.887545\pi\) |
0.352939 | − | 0.935646i | \(-0.385182\pi\) | |||||||
\(654\) | −19.8778 | + | 5.83665i | −0.777283 | + | 0.228231i | ||||
\(655\) | −5.48861 | + | 6.33420i | −0.214458 | + | 0.247497i | ||||
\(656\) | −6.57871 | + | 7.59224i | −0.256855 | + | 0.296427i | ||||
\(657\) | 3.60111 | − | 1.05738i | 0.140493 | − | 0.0412523i | ||||
\(658\) | 5.62828 | + | 12.3242i | 0.219413 | + | 0.480447i | ||||
\(659\) | 27.2769 | − | 17.5298i | 1.06256 | − | 0.682863i | 0.112092 | − | 0.993698i | \(-0.464245\pi\) |
0.950464 | + | 0.310834i | \(0.100608\pi\) | |||||||
\(660\) | 4.61053 | + | 1.35377i | 0.179465 | + | 0.0526956i | ||||
\(661\) | 1.05362 | + | 7.32811i | 0.0409812 | + | 0.285031i | 0.999999 | + | 0.00168329i | \(0.000535809\pi\) |
−0.959017 | + | 0.283347i | \(0.908555\pi\) | |||||||
\(662\) | −2.65682 | + | 5.81762i | −0.103260 | + | 0.226108i | ||||
\(663\) | 2.43933 | − | 16.9659i | 0.0947359 | − | 0.658903i | ||||
\(664\) | 1.27558 | + | 0.819765i | 0.0495021 | + | 0.0318131i | ||||
\(665\) | 0.341168 | + | 0.393729i | 0.0132299 | + | 0.0152682i | ||||
\(666\) | 3.85515 | 0.149384 | ||||||||
\(667\) | −28.1109 | − | 7.17631i | −1.08846 | − | 0.277868i | ||||
\(668\) | −22.5859 | −0.873874 | ||||||||
\(669\) | −4.24390 | − | 4.89772i | −0.164079 | − | 0.189357i | ||||
\(670\) | −8.62225 | − | 5.54118i | −0.333106 | − | 0.214075i | ||||
\(671\) | −7.50066 | + | 52.1682i | −0.289560 | + | 2.01393i | ||||
\(672\) | 1.05083 | − | 2.30100i | 0.0405367 | − | 0.0887631i | ||||
\(673\) | −6.25711 | − | 43.5192i | −0.241194 | − | 1.67754i | −0.646154 | − | 0.763207i | \(-0.723624\pi\) |
0.404960 | − | 0.914334i | \(-0.367285\pi\) | |||||||
\(674\) | 7.42095 | + | 2.17899i | 0.285844 | + | 0.0839315i | ||||
\(675\) | −0.841254 | + | 0.540641i | −0.0323799 | + | 0.0208093i | ||||
\(676\) | −0.128067 | − | 0.280427i | −0.00492564 | − | 0.0107856i | ||||
\(677\) | 24.5983 | − | 7.22271i | 0.945390 | − | 0.277591i | 0.227524 | − | 0.973773i | \(-0.426937\pi\) |
0.717866 | + | 0.696181i | \(0.245119\pi\) | |||||||
\(678\) | 5.31675 | − | 6.13585i | 0.204188 | − | 0.235646i | ||||
\(679\) | 1.42143 | − | 1.64042i | 0.0545494 | − | 0.0629534i | ||||
\(680\) | 4.61639 | − | 1.35550i | 0.177031 | − | 0.0519809i | ||||
\(681\) | 8.30295 | + | 18.1809i | 0.318170 | + | 0.696694i | ||||
\(682\) | 25.9174 | − | 16.6561i | 0.992430 | − | 0.637796i | ||||
\(683\) | 0.450025 | + | 0.132139i | 0.0172197 | + | 0.00505617i | 0.290331 | − | 0.956926i | \(-0.406235\pi\) |
−0.273111 | + | 0.961982i | \(0.588053\pi\) | |||||||
\(684\) | −0.0293102 | − | 0.203857i | −0.00112070 | − | 0.00779465i | ||||
\(685\) | 7.17912 | − | 15.7201i | 0.274300 | − | 0.600633i | ||||
\(686\) | −2.73640 | + | 19.0321i | −0.104476 | + | 0.726649i | ||||
\(687\) | −16.0952 | − | 10.3437i | −0.614070 | − | 0.394639i | ||||
\(688\) | −1.26267 | − | 1.45719i | −0.0481387 | − | 0.0555550i | ||||
\(689\) | 46.5289 | 1.77261 | ||||||||
\(690\) | −3.00941 | + | 3.73409i | −0.114566 | + | 0.142154i | ||||
\(691\) | −29.5192 | −1.12296 | −0.561482 | − | 0.827489i | \(-0.689768\pi\) | ||||
−0.561482 | + | 0.827489i | \(0.689768\pi\) | |||||||
\(692\) | 13.7045 | + | 15.8159i | 0.520968 | + | 0.601229i | ||||
\(693\) | −10.2256 | − | 6.57157i | −0.388437 | − | 0.249633i | ||||
\(694\) | 0.0339763 | − | 0.236311i | 0.00128972 | − | 0.00897023i | ||||
\(695\) | −2.48546 | + | 5.44239i | −0.0942788 | + | 0.206442i | ||||
\(696\) | −0.860936 | − | 5.98794i | −0.0326337 | − | 0.226972i | ||||
\(697\) | 46.3761 | + | 13.6173i | 1.75662 | + | 0.515791i | ||||
\(698\) | 6.62890 | − | 4.26014i | 0.250908 | − | 0.161249i | ||||
\(699\) | 7.47346 | + | 16.3646i | 0.282672 | + | 0.618966i | ||||
\(700\) | 2.42713 | − | 0.712670i | 0.0917369 | − | 0.0269364i | ||||
\(701\) | −27.3814 | + | 31.5999i | −1.03418 | + | 1.19351i | −0.0533666 | + | 0.998575i | \(0.516995\pi\) |
−0.980816 | + | 0.194935i | \(0.937550\pi\) | |||||||
\(702\) | −2.33297 | + | 2.69239i | −0.0880523 | + | 0.101618i | ||||
\(703\) | −0.761817 | + | 0.223690i | −0.0287325 | + | 0.00843662i | ||||
\(704\) | 1.99614 | + | 4.37094i | 0.0752324 | + | 0.164736i | ||||
\(705\) | 4.50577 | − | 2.89568i | 0.169697 | − | 0.109058i | ||||
\(706\) | −6.89213 | − | 2.02371i | −0.259389 | − | 0.0761634i | ||||
\(707\) | −2.35557 | − | 16.3834i | −0.0885904 | − | 0.616160i | ||||
\(708\) | 3.21172 | − | 7.03268i | 0.120704 | − | 0.264304i | ||||
\(709\) | 0.764294 | − | 5.31578i | 0.0287037 | − | 0.199638i | −0.970424 | − | 0.241408i | \(-0.922391\pi\) |
0.999127 | + | 0.0417702i | \(0.0132997\pi\) | |||||||
\(710\) | 1.89126 | + | 1.21544i | 0.0709776 | + | 0.0456145i | ||||
\(711\) | −6.29642 | − | 7.26646i | −0.236134 | − | 0.272513i | ||||
\(712\) | −14.1145 | −0.528962 | ||||||||
\(713\) | 5.45800 | + | 30.2599i | 0.204404 | + | 1.13324i | ||||
\(714\) | −12.1706 | −0.455474 | ||||||||
\(715\) | 11.2103 | + | 12.9374i | 0.419242 | + | 0.483831i | ||||
\(716\) | 0.812946 | + | 0.522449i | 0.0303812 | + | 0.0195248i | ||||
\(717\) | −1.99227 | + | 13.8565i | −0.0744026 | + | 0.517482i | ||||
\(718\) | 7.16627 | − | 15.6919i | 0.267443 | − | 0.585618i | ||||
\(719\) | 2.82960 | + | 19.6803i | 0.105526 | + | 0.733952i | 0.972043 | + | 0.234804i | \(0.0754447\pi\) |
−0.866516 | + | 0.499148i | \(0.833646\pi\) | |||||||
\(720\) | −0.959493 | − | 0.281733i | −0.0357582 | − | 0.0104996i | ||||
\(721\) | −14.6481 | + | 9.41377i | −0.545524 | + | 0.350587i | ||||
\(722\) | −7.87526 | − | 17.2444i | −0.293087 | − | 0.641771i | ||||
\(723\) | −7.45000 | + | 2.18752i | −0.277068 | + | 0.0813546i | ||||
\(724\) | 14.1056 | − | 16.2788i | 0.524231 | − | 0.604995i | ||||
\(725\) | 3.96159 | − | 4.57192i | 0.147130 | − | 0.169797i | ||||
\(726\) | 11.6000 | − | 3.40606i | 0.430515 | − | 0.126411i | ||||
\(727\) | −4.02476 | − | 8.81299i | −0.149270 | − | 0.326856i | 0.820196 | − | 0.572083i | \(-0.193865\pi\) |
−0.969466 | + | 0.245228i | \(0.921137\pi\) | |||||||
\(728\) | 7.58121 | − | 4.87215i | 0.280978 | − | 0.180574i | ||||
\(729\) | −0.959493 | − | 0.281733i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 0.534127 | + | 3.71493i | 0.0197689 | + | 0.137496i | ||||
\(731\) | −3.85374 | + | 8.43852i | −0.142536 | + | 0.312110i | ||||
\(732\) | 1.56095 | − | 10.8567i | 0.0576945 | − | 0.401274i | ||||
\(733\) | 41.7674 | + | 26.8423i | 1.54271 | + | 0.991442i | 0.987119 | + | 0.159988i | \(0.0511457\pi\) |
0.555594 | + | 0.831453i | \(0.312491\pi\) | |||||||
\(734\) | 4.01302 | + | 4.63127i | 0.148123 | + | 0.170943i | ||||
\(735\) | 0.601139 | 0.0221733 | ||||||||
\(736\) | −4.79278 | + | 0.170946i | −0.176664 | + | 0.00630114i | ||||
\(737\) | −49.2496 | −1.81413 | ||||||||
\(738\) | −6.57871 | − | 7.59224i | −0.242166 | − | 0.279474i | ||||
\(739\) | 25.2454 | + | 16.2243i | 0.928669 | + | 0.596819i | 0.915161 | − | 0.403090i | \(-0.132064\pi\) |
0.0135083 | + | 0.999909i | \(0.495700\pi\) | |||||||
\(740\) | −0.548645 | + | 3.81591i | −0.0201686 | + | 0.140276i | ||||
\(741\) | 0.304797 | − | 0.667412i | 0.0111970 | − | 0.0245180i | ||||
\(742\) | −4.70180 | − | 32.7017i | −0.172608 | − | 1.20052i | ||||
\(743\) | −24.6264 | − | 7.23096i | −0.903455 | − | 0.265278i | −0.203171 | − | 0.979143i | \(-0.565125\pi\) |
−0.700283 | + | 0.713865i | \(0.746943\pi\) | |||||||
\(744\) | −5.39365 | + | 3.46629i | −0.197741 | + | 0.127080i | ||||
\(745\) | 6.55461 | + | 14.3526i | 0.240142 | + | 0.525838i | ||||
\(746\) | 25.4600 | − | 7.47574i | 0.932158 | − | 0.273706i | ||||
\(747\) | −0.992955 | + | 1.14593i | −0.0363303 | + | 0.0419274i | ||||
\(748\) | 15.1398 | − | 17.4722i | 0.553564 | − | 0.638847i | ||||
\(749\) | 8.57935 | − | 2.51913i | 0.313483 | − | 0.0920469i | ||||
\(750\) | −0.415415 | − | 0.909632i | −0.0151688 | − | 0.0332151i | ||||
\(751\) | −6.82017 | + | 4.38305i | −0.248871 | + | 0.159940i | −0.659129 | − | 0.752030i | \(-0.729075\pi\) |
0.410258 | + | 0.911970i | \(0.365439\pi\) | |||||||
\(752\) | 5.13906 | + | 1.50896i | 0.187402 | + | 0.0550263i | ||||
\(753\) | −1.97610 | − | 13.7441i | −0.0720131 | − | 0.500862i | ||||
\(754\) | 8.95288 | − | 19.6041i | 0.326045 | − | 0.713939i | ||||
\(755\) | −0.412357 | + | 2.86800i | −0.0150072 | + | 0.104377i | ||||
\(756\) | 2.12803 | + | 1.36760i | 0.0773958 | + | 0.0497393i | ||||
\(757\) | 0.831572 | + | 0.959685i | 0.0302240 | + | 0.0348804i | 0.770660 | − | 0.637246i | \(-0.219927\pi\) |
−0.740436 | + | 0.672127i | \(0.765381\pi\) | |||||||
\(758\) | −20.4111 | −0.741365 | ||||||||
\(759\) | −2.46447 | + | 22.9126i | −0.0894546 | + | 0.831676i | ||||
\(760\) | 0.205953 | 0.00747070 | ||||||||
\(761\) | 5.21101 | + | 6.01383i | 0.188899 | + | 0.218001i | 0.842297 | − | 0.539013i | \(-0.181203\pi\) |
−0.653398 | + | 0.757014i | \(0.726657\pi\) | |||||||
\(762\) | −3.63320 | − | 2.33491i | −0.131617 | − | 0.0845850i | ||||
\(763\) | −7.45810 | + | 51.8722i | −0.270001 | + | 1.87790i | ||||
\(764\) | 9.48329 | − | 20.7655i | 0.343093 | − | 0.751270i | ||||
\(765\) | 0.684717 | + | 4.76231i | 0.0247560 | + | 0.172182i | ||||
\(766\) | −25.2452 | − | 7.41266i | −0.912146 | − | 0.267830i | ||||
\(767\) | 23.1708 | − | 14.8910i | 0.836651 | − | 0.537683i | ||||
\(768\) | −0.415415 | − | 0.909632i | −0.0149900 | − | 0.0328235i | ||||
\(769\) | 28.0980 | − | 8.25031i | 1.01324 | − | 0.297514i | 0.267361 | − | 0.963596i | \(-0.413848\pi\) |
0.745878 | + | 0.666083i | \(0.232030\pi\) | |||||||
\(770\) | 7.95993 | − | 9.18625i | 0.286856 | − | 0.331049i | ||||
\(771\) | 14.0643 | − | 16.2310i | 0.506512 | − | 0.584546i | ||||
\(772\) | 10.1069 | − | 2.96766i | 0.363756 | − | 0.106808i | ||||
\(773\) | −2.57133 | − | 5.63043i | −0.0924844 | − | 0.202513i | 0.857737 | − | 0.514090i | \(-0.171870\pi\) |
−0.950221 | + | 0.311577i | \(0.899143\pi\) | |||||||
\(774\) | 1.62206 | − | 1.04243i | 0.0583037 | − | 0.0374695i | ||||
\(775\) | −6.15174 | − | 1.80631i | −0.220977 | − | 0.0648847i | ||||
\(776\) | −0.122117 | − | 0.849340i | −0.00438373 | − | 0.0304895i | ||||
\(777\) | 4.05112 | − | 8.87070i | 0.145333 | − | 0.318235i | ||||
\(778\) | −1.56368 | + | 10.8756i | −0.0560606 | + | 0.389910i | ||||
\(779\) | 1.74055 | + | 1.11858i | 0.0623617 | + | 0.0400774i | ||||
\(780\) | −2.33297 | − | 2.69239i | −0.0835337 | − | 0.0964030i | ||||
\(781\) | 10.8027 | 0.386551 | ||||||||
\(782\) | 10.3274 | + | 20.6339i | 0.369306 | + | 0.737868i | ||||
\(783\) | 6.04952 | 0.216192 | ||||||||
\(784\) | 0.393662 | + | 0.454311i | 0.0140594 | + | 0.0162254i | ||||
\(785\) | −6.09043 | − | 3.91408i | −0.217377 | − | 0.139700i | ||||
\(786\) | 1.19279 | − | 8.29603i | 0.0425454 | − | 0.295910i | ||||
\(787\) | 0.735040 | − | 1.60951i | 0.0262013 | − | 0.0573729i | −0.896079 | − | 0.443895i | \(-0.853596\pi\) |
0.922280 | + | 0.386522i | \(0.126324\pi\) | |||||||
\(788\) | 0.794929 | + | 5.52885i | 0.0283182 | + | 0.196957i | ||||
\(789\) | −18.0033 | − | 5.28625i | −0.640936 | − | 0.188196i | ||||
\(790\) | 8.08857 | − | 5.19821i | 0.287778 | − | 0.184944i | ||||
\(791\) | −8.53160 | − | 18.6816i | −0.303349 | − | 0.664241i | ||||
\(792\) | −4.61053 | + | 1.35377i | −0.163828 | + | 0.0481043i | ||||
\(793\) | 25.5888 | − | 29.5310i | 0.908683 | − | 1.04868i | ||||
\(794\) | −16.7819 | + | 19.3674i | −0.595568 | + | 0.687322i | ||||
\(795\) | −12.5315 | + | 3.67959i | −0.444448 | + | 0.130502i | ||||
\(796\) | −8.10399 | − | 17.7453i | −0.287238 | − | 0.628964i | ||||
\(797\) | 14.4574 | − | 9.29120i | 0.512107 | − | 0.329111i | −0.258936 | − | 0.965895i | \(-0.583372\pi\) |
0.771043 | + | 0.636783i | \(0.219735\pi\) | |||||||
\(798\) | −0.499875 | − | 0.146776i | −0.0176954 | − | 0.00519583i | ||||
\(799\) | −3.66736 | − | 25.5070i | −0.129742 | − | 0.902373i | ||||
\(800\) | 0.415415 | − | 0.909632i | 0.0146871 | − | 0.0321603i | ||||
\(801\) | 2.00870 | − | 13.9708i | 0.0709738 | − | 0.493634i | ||||
\(802\) | 16.1480 | + | 10.3777i | 0.570207 | + | 0.366450i | ||||
\(803\) | 11.8101 | + | 13.6295i | 0.416768 | + | 0.480976i | ||||
\(804\) | 10.2493 | 0.361464 | ||||||||
\(805\) | 5.42976 | + | 10.8486i | 0.191374 | + | 0.382362i | ||||
\(806\) | −22.8411 | −0.804542 | ||||||||
\(807\) | −20.0255 | − | 23.1106i | −0.704929 | − | 0.813532i | ||||
\(808\) | −5.50455 | − | 3.53756i | −0.193649 | − | 0.124451i | ||||
\(809\) | 1.13509 | − | 7.89475i | 0.0399078 | − | 0.277565i | −0.960090 | − | 0.279691i | \(-0.909768\pi\) |
0.999998 | + | 0.00212664i | \(0.000676929\pi\) | |||||||
\(810\) | 0.415415 | − | 0.909632i | 0.0145962 | − | 0.0319612i | ||||
\(811\) | 2.08635 | + | 14.5109i | 0.0732616 | + | 0.509546i | 0.993102 | + | 0.117253i | \(0.0374089\pi\) |
−0.919840 | + | 0.392293i | \(0.871682\pi\) | |||||||
\(812\) | −14.6830 | − | 4.31131i | −0.515271 | − | 0.151297i | ||||
\(813\) | −6.55767 | + | 4.21436i | −0.229987 | + | 0.147804i | ||||
\(814\) | 7.69542 | + | 16.8506i | 0.269724 | + | 0.590614i | ||||
\(815\) | 16.0973 | − | 4.72660i | 0.563865 | − | 0.165566i | ||||
\(816\) | −3.15072 | + | 3.63613i | −0.110297 | + | 0.127290i | ||||
\(817\) | −0.260050 | + | 0.300113i | −0.00909799 | + | 0.0104996i | ||||
\(818\) | −7.33566 | + | 2.15394i | −0.256485 | + | 0.0753109i | ||||
\(819\) | 3.74364 | + | 8.19742i | 0.130813 | + | 0.286441i | ||||
\(820\) | 8.45121 | − | 5.43126i | 0.295129 | − | 0.189668i | ||||
\(821\) | −47.7527 | − | 14.0215i | −1.66658 | − | 0.489353i | −0.693624 | − | 0.720337i | \(-0.743987\pi\) |
−0.972957 | + | 0.230985i | \(0.925805\pi\) | |||||||
\(822\) | 2.45946 | + | 17.1059i | 0.0857834 | + | 0.596636i | ||||
\(823\) | 14.4725 | − | 31.6903i | 0.504478 | − | 1.10465i | −0.470509 | − | 0.882395i | \(-0.655930\pi\) |
0.974988 | − | 0.222259i | \(-0.0713429\pi\) | |||||||
\(824\) | −0.979611 | + | 6.81335i | −0.0341264 | + | 0.237354i | ||||
\(825\) | −4.04237 | − | 2.59787i | −0.140737 | − | 0.0904463i | ||||
\(826\) | −12.8072 | − | 14.7803i | −0.445621 | − | 0.514273i | ||||
\(827\) | 24.2297 | 0.842548 | 0.421274 | − | 0.906933i | \(-0.361583\pi\) | ||||
0.421274 | + | 0.906933i | \(0.361583\pi\) | |||||||
\(828\) | 0.512879 | − | 4.76833i | 0.0178238 | − | 0.165711i | ||||
\(829\) | −49.7946 | −1.72944 | −0.864719 | − | 0.502256i | \(-0.832504\pi\) | ||||
−0.864719 | + | 0.502256i | \(0.832504\pi\) | |||||||
\(830\) | −0.992955 | − | 1.14593i | −0.0344660 | − | 0.0397758i | ||||
\(831\) | −1.10508 | − | 0.710192i | −0.0383348 | − | 0.0246363i | ||||
\(832\) | 0.507003 | − | 3.52628i | 0.0175772 | − | 0.122252i | ||||
\(833\) | 1.20148 | − | 2.63088i | 0.0416290 | − | 0.0911547i | ||||
\(834\) | −0.851480 | − | 5.92217i | −0.0294843 | − | 0.205068i | ||||
\(835\) | 21.6710 | + | 6.36318i | 0.749955 | + | 0.220207i | ||||
\(836\) | 0.832538 | − | 0.535040i | 0.0287939 | − | 0.0185047i | ||||
\(837\) | −2.66341 | − | 5.83206i | −0.0920610 | − | 0.201585i | ||||
\(838\) | −2.94970 | + | 0.866109i | −0.101896 | + | 0.0299192i | ||||
\(839\) | 14.0469 | − | 16.2110i | 0.484952 | − | 0.559665i | −0.459558 | − | 0.888148i | \(-0.651992\pi\) |
0.944510 | + | 0.328483i | \(0.106537\pi\) | |||||||
\(840\) | −1.65653 | + | 1.91174i | −0.0571558 | + | 0.0659614i | ||||
\(841\) | −7.28893 | + | 2.14022i | −0.251342 | + | 0.0738008i | ||||
\(842\) | −10.2454 | − | 22.4342i | −0.353079 | − | 0.773135i | ||||
\(843\) | −11.0630 | + | 7.10973i | −0.381029 | + | 0.244872i | ||||
\(844\) | 4.06377 | + | 1.19323i | 0.139881 | + | 0.0410727i | ||||
\(845\) | 0.0438737 | + | 0.305148i | 0.00150930 | + | 0.0104974i | ||||
\(846\) | −2.22497 | + | 4.87200i | −0.0764960 | + | 0.167503i | ||||
\(847\) | 4.35228 | − | 30.2708i | 0.149546 | − | 1.04012i | ||||
\(848\) | −10.9873 | − | 7.06108i | −0.377304 | − | 0.242478i | ||||
\(849\) | 18.8132 | + | 21.7116i | 0.645667 | + | 0.745140i | ||||
\(850\) | −4.81128 | −0.165026 | ||||||||
\(851\) | −18.4769 | + | 0.659021i | −0.633380 | + | 0.0225910i | ||||
\(852\) | −2.24814 | −0.0770200 | ||||||||
\(853\) | 18.5711 | + | 21.4322i | 0.635862 | + | 0.733824i | 0.978638 | − | 0.205593i | \(-0.0659123\pi\) |
−0.342775 | + | 0.939417i | \(0.611367\pi\) | |||||||
\(854\) | −23.3409 | − | 15.0003i | −0.798710 | − | 0.513300i | ||||
\(855\) | −0.0293102 | + | 0.203857i | −0.00100239 | + | 0.00697175i | ||||
\(856\) | 1.46840 | − | 3.21534i | 0.0501888 | − | 0.109898i | ||||
\(857\) | −1.33053 | − | 9.25407i | −0.0454502 | − | 0.316113i | −0.999846 | − | 0.0175678i | \(-0.994408\pi\) |
0.954395 | − | 0.298545i | \(-0.0965014\pi\) | |||||||
\(858\) | −16.4252 | − | 4.82288i | −0.560747 | − | 0.164650i | ||||
\(859\) | 21.9485 | − | 14.1055i | 0.748875 | − | 0.481273i | −0.109698 | − | 0.993965i | \(-0.534988\pi\) |
0.858572 | + | 0.512692i | \(0.171352\pi\) | |||||||
\(860\) | 0.800980 | + | 1.75390i | 0.0273132 | + | 0.0598075i | ||||
\(861\) | −24.3829 | + | 7.15946i | −0.830966 | + | 0.243994i | ||||
\(862\) | −2.70147 | + | 3.11766i | −0.0920123 | + | 0.106188i | ||||
\(863\) | 33.2485 | − | 38.3708i | 1.13179 | − | 1.30616i | 0.185573 | − | 0.982631i | \(-0.440586\pi\) |
0.946219 | − | 0.323527i | \(-0.104869\pi\) | |||||||
\(864\) | 0.959493 | − | 0.281733i | 0.0326426 | − | 0.00958474i | ||||
\(865\) | −8.69356 | − | 19.0362i | −0.295590 | − | 0.647251i | ||||
\(866\) | −2.97768 | + | 1.91364i | −0.101186 | + | 0.0650282i | ||||
\(867\) | 5.89940 | + | 1.73222i | 0.200354 | + | 0.0588293i | ||||
\(868\) | 2.30812 | + | 16.0533i | 0.0783425 | + | 0.544884i | ||||
\(869\) | 19.1927 | − | 42.0261i | 0.651068 | − | 1.42564i | ||||
\(870\) | −0.860936 | + | 5.98794i | −0.0291885 | + | 0.203010i | ||||
\(871\) | 30.7171 | + | 19.7407i | 1.04081 | + | 0.668888i | ||||
\(872\) | 13.5667 | + | 15.6568i | 0.459428 | + | 0.530208i | ||||
\(873\) | 0.858074 | 0.0290414 | ||||||||
\(874\) | 0.175326 | + | 0.972030i | 0.00593048 | + | 0.0328794i | ||||
\(875\) | −2.52960 | −0.0855160 | ||||||||
\(876\) | −2.45778 | − | 2.83643i | −0.0830407 | − | 0.0958341i | ||||
\(877\) | −14.6941 | − | 9.44334i | −0.496185 | − | 0.318879i | 0.268504 | − | 0.963279i | \(-0.413471\pi\) |
−0.764689 | + | 0.644400i | \(0.777107\pi\) | |||||||
\(878\) | −2.23616 | + | 15.5528i | −0.0754667 | + | 0.524882i | ||||
\(879\) | −6.67671 | + | 14.6200i | −0.225200 | + | 0.493119i | ||||
\(880\) | −0.683847 | − | 4.75626i | −0.0230525 | − | 0.160334i | ||||
\(881\) | 30.2859 | + | 8.89275i | 1.02036 | + | 0.299604i | 0.748785 | − | 0.662813i | \(-0.230638\pi\) |
0.271574 | + | 0.962418i | \(0.412456\pi\) | |||||||
\(882\) | −0.505710 | + | 0.325000i | −0.0170282 | + | 0.0109433i | ||||
\(883\) | 17.8982 | + | 39.1917i | 0.602324 | + | 1.31891i | 0.927702 | + | 0.373321i | \(0.121781\pi\) |
−0.325378 | + | 0.945584i | \(0.605492\pi\) | |||||||
\(884\) | −16.4461 | + | 4.82901i | −0.553142 | + | 0.162417i | ||||
\(885\) | −5.06295 | + | 5.84296i | −0.170189 | + | 0.196409i | ||||
\(886\) | 8.10891 | − | 9.35818i | 0.272424 | − | 0.314394i | ||||
\(887\) | 4.30299 | − | 1.26347i | 0.144480 | − | 0.0424233i | −0.208693 | − | 0.977981i | \(-0.566921\pi\) |
0.353173 | + | 0.935558i | \(0.385103\pi\) | |||||||
\(888\) | −1.60149 | − | 3.50677i | −0.0537424 | − | 0.117679i | ||||
\(889\) | −9.19052 | + | 5.90639i | −0.308240 | + | 0.198094i | ||||
\(890\) | 13.5427 | + | 3.97650i | 0.453953 | + | 0.133293i | ||||
\(891\) | −0.683847 | − | 4.75626i | −0.0229098 | − | 0.159341i | ||||
\(892\) | −2.69214 | + | 5.89497i | −0.0901396 | + | 0.197378i | ||||
\(893\) | 0.156986 | − | 1.09186i | 0.00525333 | − | 0.0365377i | ||||
\(894\) | −13.2737 | − | 8.53048i | −0.443938 | − | 0.285302i | ||||
\(895\) | −0.632825 | − | 0.730319i | −0.0211530 | − | 0.0244119i | ||||
\(896\) | −2.52960 | −0.0845079 | ||||||||
\(897\) | 10.7212 | − | 13.3029i | 0.357969 | − | 0.444169i | ||||
\(898\) | 33.2051 | 1.10807 | ||||||||
\(899\) | 25.3995 | + | 29.3126i | 0.847122 | + | 0.977630i | ||||
\(900\) | 0.841254 | + | 0.540641i | 0.0280418 | + | 0.0180214i | ||||
\(901\) | −8.94280 | + | 62.1985i | −0.297928 | + | 2.07213i | ||||
\(902\) | 20.0532 | − | 43.9103i | 0.667697 | − | 1.46205i | ||||
\(903\) | −0.694130 | − | 4.82778i | −0.0230992 | − | 0.160658i | ||||
\(904\) | −7.79003 | − | 2.28736i | −0.259092 | − | 0.0760764i | ||||
\(905\) | −18.1205 | + | 11.6453i | −0.602346 | + | 0.387104i | ||||
\(906\) | −1.20366 | − | 2.63566i | −0.0399891 | − | 0.0875638i | ||||
\(907\) | −15.1652 | + | 4.45291i | −0.503552 | + | 0.147856i | −0.523636 | − | 0.851942i | \(-0.675425\pi\) |
0.0200838 | + | 0.999798i | \(0.493607\pi\) | |||||||
\(908\) | 13.0888 | − | 15.1053i | 0.434366 | − | 0.501286i | ||||
\(909\) | 4.28493 | − | 4.94508i | 0.142122 | − | 0.164018i | ||||
\(910\) | −8.64676 | + | 2.53892i | −0.286637 | + | 0.0841643i | ||||
\(911\) | −10.7858 | − | 23.6177i | −0.357351 | − | 0.782490i | −0.999868 | − | 0.0162187i | \(-0.994837\pi\) |
0.642517 | − | 0.766271i | \(-0.277890\pi\) | |||||||
\(912\) | −0.173259 | + | 0.111347i | −0.00573717 | + | 0.00368705i | ||||
\(913\) | −6.99087 | − | 2.05271i | −0.231364 | − | 0.0679346i | ||||
\(914\) | 1.78433 | + | 12.4103i | 0.0590205 | + | 0.410497i | ||||
\(915\) | −4.55640 | + | 9.97713i | −0.150630 | + | 0.329834i | ||||
\(916\) | −2.72282 | + | 18.9376i | −0.0899646 | + | 0.625717i | ||||
\(917\) | −17.8358 | − | 11.4624i | −0.588989 | − | 0.378520i | ||||
\(918\) | −3.15072 | − | 3.63613i | −0.103989 | − | 0.120010i | ||||
\(919\) | 19.3870 | 0.639517 | 0.319759 | − | 0.947499i | \(-0.396398\pi\) | ||||
0.319759 | + | 0.947499i | \(0.396398\pi\) | |||||||
\(920\) | 4.64680 | + | 1.18626i | 0.153201 | + | 0.0391099i | ||||
\(921\) | 9.33863 | 0.307718 | ||||||||
\(922\) | 22.7043 | + | 26.2022i | 0.747727 | + | 0.862923i | ||||
\(923\) | −6.73768 | − | 4.33004i | −0.221773 | − | 0.142525i | ||||
\(924\) | −1.72986 | + | 12.0314i | −0.0569082 | + | 0.395805i | ||||
\(925\) | 1.60149 | − | 3.50677i | 0.0526565 | − | 0.115302i | ||||
\(926\) | 2.00544 | + | 13.9481i | 0.0659027 | + | 0.458363i | ||||
\(927\) | −6.60458 | − | 1.93928i | −0.216923 | − | 0.0636943i | ||||
\(928\) | −5.08918 | + | 3.27062i | −0.167060 | + | 0.107363i | ||||
\(929\) | −20.1866 | − | 44.2024i | −0.662299 | − | 1.45023i | −0.880364 | − | 0.474299i | \(-0.842702\pi\) |
0.218064 | − | 0.975934i | \(-0.430026\pi\) | |||||||
\(930\) | 6.15174 | − | 1.80631i | 0.201723 | − | 0.0592313i | ||||
\(931\) | 0.0810759 | − | 0.0935666i | 0.00265716 | − | 0.00306652i | ||||
\(932\) | 11.7812 | − | 13.5962i | 0.385905 | − | 0.445358i | ||||
\(933\) | −20.8346 | + | 6.11760i | −0.682096 | + | 0.200281i | ||||
\(934\) | −3.29755 | − | 7.22064i | −0.107899 | − | 0.236266i | ||||
\(935\) | −19.4490 | + | 12.4991i | −0.636050 | + | 0.408764i | ||||
\(936\) | 3.41824 | + | 1.00368i | 0.111729 | + | 0.0328065i | ||||
\(937\) | −2.44818 | − | 17.0274i | −0.0799784 | − | 0.556262i | −0.989931 | − | 0.141550i | \(-0.954791\pi\) |
0.909953 | − | 0.414712i | \(-0.136118\pi\) | |||||||
\(938\) | 10.7703 | − | 23.5836i | 0.351662 | − | 0.770033i | ||||
\(939\) | 1.20411 | − | 8.37475i | 0.0392946 | − | 0.273300i | ||||
\(940\) | −4.50577 | − | 2.89568i | −0.146962 | − | 0.0944467i | ||||
\(941\) | −13.8040 | − | 15.9307i | −0.449999 | − | 0.519326i | 0.484742 | − | 0.874657i | \(-0.338914\pi\) |
−0.934741 | + | 0.355331i | \(0.884368\pi\) | |||||||
\(942\) | 7.23971 | 0.235882 | ||||||||
\(943\) | 32.8282 | + | 35.2633i | 1.06903 | + | 1.14833i | ||||
\(944\) | −7.73134 | −0.251634 | ||||||||
\(945\) | −1.65653 | − | 1.91174i | −0.0538870 | − | 0.0621890i | ||||
\(946\) | 7.79427 | + | 5.00907i | 0.253413 | + | 0.162859i | ||||
\(947\) | 5.33712 | − | 37.1205i | 0.173433 | − | 1.20625i | −0.698130 | − | 0.715971i | \(-0.745984\pi\) |
0.871563 | − | 0.490283i | \(-0.163107\pi\) | |||||||
\(948\) | −3.99417 | + | 8.74602i | −0.129725 | + | 0.284058i | ||||
\(949\) | −1.90285 | − | 13.2346i | −0.0617691 | − | 0.429614i | ||||
\(950\) | −0.197610 | − | 0.0580236i | −0.00641133 | − | 0.00188254i | ||||
\(951\) | −18.2903 | + | 11.7544i | −0.593102 | + | 0.381164i | ||||
\(952\) | 5.05585 | + | 11.0708i | 0.163861 | + | 0.358806i | ||||
\(953\) | 35.6386 | − | 10.4644i | 1.15445 | − | 0.338977i | 0.352175 | − | 0.935934i | \(-0.385442\pi\) |
0.802273 | + | 0.596958i | \(0.203624\pi\) | |||||||
\(954\) | 8.55286 | − | 9.87052i | 0.276909 | − | 0.319570i | ||||
\(955\) | −14.9495 | + | 17.2526i | −0.483754 | + | 0.558281i | ||||
\(956\) | 13.4320 | − | 3.94398i | 0.434421 | − | 0.127557i | ||||
\(957\) | 12.0757 | + | 26.4421i | 0.390352 | + | 0.854751i | ||||
\(958\) | −22.8217 | + | 14.6666i | −0.737336 | + | 0.473857i | ||||
\(959\) | 41.9452 | + | 12.3162i | 1.35448 | + | 0.397711i | ||||
\(960\) | 0.142315 | + | 0.989821i | 0.00459319 | + | 0.0319463i | ||||
\(961\) | 4.19845 | − | 9.19333i | 0.135434 | − | 0.296559i | ||||
\(962\) | 1.95457 | − | 13.5943i | 0.0630179 | − | 0.438299i | ||||
\(963\) | 2.97364 | + | 1.91104i | 0.0958242 | + | 0.0615825i | ||||
\(964\) | 5.08468 | + | 5.86803i | 0.163766 | + | 0.188997i | ||||
\(965\) | −10.5336 | −0.339089 | ||||||||
\(966\) | −10.4330 | − | 6.19085i | −0.335676 | − | 0.199187i | ||||
\(967\) | 27.3976 | 0.881047 | 0.440523 | − | 0.897741i | \(-0.354793\pi\) | ||||
0.440523 | + | 0.897741i | \(0.354793\pi\) | |||||||
\(968\) | −7.91706 | − | 9.13678i | −0.254464 | − | 0.293667i | ||||
\(969\) | 0.833597 | + | 0.535720i | 0.0267790 | + | 0.0172098i | ||||
\(970\) | −0.122117 | + | 0.849340i | −0.00392093 | + | 0.0272707i | ||||
\(971\) | 19.7501 | − | 43.2467i | 0.633811 | − | 1.38785i | −0.271224 | − | 0.962516i | \(-0.587428\pi\) |
0.905035 | − | 0.425336i | \(-0.139844\pi\) | |||||||
\(972\) | 0.142315 | + | 0.989821i | 0.00456475 | + | 0.0317485i | ||||
\(973\) | −14.5217 | − | 4.26395i | −0.465544 | − | 0.136696i | ||||
\(974\) | 9.45413 | − | 6.07580i | 0.302930 | − | 0.194681i | ||||
\(975\) | 1.47993 | + | 3.24060i | 0.0473958 | + | 0.103782i | ||||
\(976\) | −10.5240 | + | 3.09013i | −0.336866 | + | 0.0989127i | ||||
\(977\) | 16.0949 | − | 18.5745i | 0.514922 | − | 0.594252i | −0.437430 | − | 0.899252i | \(-0.644111\pi\) |
0.952352 | + | 0.305001i | \(0.0986567\pi\) | |||||||
\(978\) | −10.9865 | + | 12.6791i | −0.351311 | + | 0.405434i | ||||
\(979\) | 65.0751 | − | 19.1078i | 2.07981 | − | 0.610688i | ||||
\(980\) | −0.249722 | − | 0.546815i | −0.00797708 | − | 0.0174674i | ||||
\(981\) | −17.4282 | + | 11.2004i | −0.556441 | + | 0.357603i | ||||
\(982\) | 23.0298 | + | 6.76216i | 0.734910 | + | 0.215789i | ||||
\(983\) | 6.11634 | + | 42.5401i | 0.195081 | + | 1.35682i | 0.818310 | + | 0.574778i | \(0.194911\pi\) |
−0.623229 | + | 0.782039i | \(0.714179\pi\) | |||||||
\(984\) | −4.17325 | + | 9.13813i | −0.133038 | + | 0.291313i | ||||
\(985\) | 0.794929 | − | 5.52885i | 0.0253285 | − | 0.176164i | ||||
\(986\) | 24.4855 | + | 15.7359i | 0.779776 | + | 0.501132i | ||||
\(987\) | 8.87242 | + | 10.2393i | 0.282412 | + | 0.325921i | ||||
\(988\) | −0.733716 | −0.0233426 | ||||||||
\(989\) | −7.59597 | + | 5.27344i | −0.241538 | + | 0.167686i | ||||
\(990\) | 4.80517 | 0.152718 | ||||||||
\(991\) | 11.0198 | + | 12.7176i | 0.350057 | + | 0.403987i | 0.903284 | − | 0.429043i | \(-0.141149\pi\) |
−0.553227 | + | 0.833031i | \(0.686604\pi\) | |||||||
\(992\) | 5.39365 | + | 3.46629i | 0.171249 | + | 0.110055i | ||||
\(993\) | −0.910185 | + | 6.33048i | −0.0288839 | + | 0.200892i | ||||
\(994\) | −2.36242 | + | 5.17298i | −0.0749314 | + | 0.164077i | ||||
\(995\) | 2.77630 | + | 19.3096i | 0.0880148 | + | 0.612156i | ||||
\(996\) | 1.45486 | + | 0.427187i | 0.0460991 | + | 0.0135359i | ||||
\(997\) | 4.81859 | − | 3.09672i | 0.152606 | − | 0.0980740i | −0.462109 | − | 0.886823i | \(-0.652907\pi\) |
0.614715 | + | 0.788749i | \(0.289271\pi\) | |||||||
\(998\) | 3.68379 | + | 8.06636i | 0.116608 | + | 0.255336i | ||||
\(999\) | 3.69899 | − | 1.08612i | 0.117031 | − | 0.0343633i |
(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 | 690.2.m.c.151.2 | ✓ | 20 | |
23.16 | even | 11 | inner | 690.2.m.c.361.2 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.c.151.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
690.2.m.c.361.2 | yes | 20 | 23.16 | even | 11 | inner |