Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(145,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.145");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.cg (of order \(12\), degree \(4\), 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: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 409.7 | ||
Character | \(\chi\) | \(=\) | 546.409 |
Dual form | 546.2.cg.b.271.7 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | 0.866025 | − | 0.500000i | 0.500000 | − | 0.288675i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | −0.367885 | + | 1.37297i | −0.164523 | + | 0.614009i | 0.833577 | + | 0.552403i | \(0.186289\pi\) |
−0.998101 | + | 0.0616062i | \(0.980378\pi\) | |||||||
\(6\) | 0.258819 | − | 0.965926i | 0.105662 | − | 0.394338i | ||||
\(7\) | 1.50946 | − | 2.17291i | 0.570521 | − | 0.821283i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | 0.710699 | + | 1.23097i | 0.224743 | + | 0.389266i | ||||
\(11\) | 0.998376 | − | 3.72599i | 0.301022 | − | 1.12343i | −0.635294 | − | 0.772270i | \(-0.719121\pi\) |
0.936316 | − | 0.351158i | \(-0.114212\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 1.74539 | + | 3.15494i | 0.484083 | + | 0.875022i | ||||
\(14\) | −0.469134 | − | 2.60383i | −0.125381 | − | 0.695902i | ||||
\(15\) | 0.367885 | + | 1.37297i | 0.0949875 | + | 0.354498i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 2.36042 | 0.572485 | 0.286243 | − | 0.958157i | \(-0.407594\pi\) | ||||
0.286243 | + | 0.958157i | \(0.407594\pi\) | |||||||
\(18\) | −0.258819 | − | 0.965926i | −0.0610042 | − | 0.227671i | ||||
\(19\) | −5.84150 | + | 1.56523i | −1.34013 | + | 0.359087i | −0.856483 | − | 0.516175i | \(-0.827356\pi\) |
−0.483649 | + | 0.875262i | \(0.660689\pi\) | |||||||
\(20\) | 1.37297 | + | 0.367885i | 0.307005 | + | 0.0822616i | ||||
\(21\) | 0.220772 | − | 2.63652i | 0.0481763 | − | 0.575337i | ||||
\(22\) | −1.92872 | − | 3.34063i | −0.411203 | − | 0.712225i | ||||
\(23\) | − | 8.10794i | − | 1.69062i | −0.534274 | − | 0.845311i | \(-0.679415\pi\) | ||
0.534274 | − | 0.845311i | \(-0.320585\pi\) | |||||||
\(24\) | −0.965926 | − | 0.258819i | −0.197169 | − | 0.0528312i | ||||
\(25\) | 2.58043 | + | 1.48981i | 0.516086 | + | 0.297962i | ||||
\(26\) | 3.46505 | + | 0.996704i | 0.679552 | + | 0.195470i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −2.17291 | − | 1.50946i | −0.410642 | − | 0.285260i | ||||
\(29\) | −0.220739 | + | 0.382331i | −0.0409902 | + | 0.0709971i | −0.885793 | − | 0.464081i | \(-0.846385\pi\) |
0.844802 | + | 0.535078i | \(0.179718\pi\) | |||||||
\(30\) | 1.23097 | + | 0.710699i | 0.224743 | + | 0.129755i | ||||
\(31\) | 3.19195 | − | 0.855281i | 0.573292 | − | 0.153613i | 0.0394858 | − | 0.999220i | \(-0.487428\pi\) |
0.533806 | + | 0.845607i | \(0.320761\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −0.998376 | − | 3.72599i | −0.173795 | − | 0.648612i | ||||
\(34\) | 1.66907 | − | 1.66907i | 0.286243 | − | 0.286243i | ||||
\(35\) | 2.42803 | + | 2.87181i | 0.410411 | + | 0.485425i | ||||
\(36\) | −0.866025 | − | 0.500000i | −0.144338 | − | 0.0833333i | ||||
\(37\) | 5.36507 | + | 5.36507i | 0.882013 | + | 0.882013i | 0.993739 | − | 0.111726i | \(-0.0356380\pi\) |
−0.111726 | + | 0.993739i | \(0.535638\pi\) | |||||||
\(38\) | −3.02378 | + | 5.23735i | −0.490522 | + | 0.849610i | ||||
\(39\) | 3.08902 | + | 1.85956i | 0.494639 | + | 0.297768i | ||||
\(40\) | 1.23097 | − | 0.710699i | 0.194633 | − | 0.112371i | ||||
\(41\) | 1.33418 | − | 0.357492i | 0.208364 | − | 0.0558309i | −0.153127 | − | 0.988206i | \(-0.548934\pi\) |
0.361491 | + | 0.932376i | \(0.382268\pi\) | |||||||
\(42\) | −1.70820 | − | 2.02041i | −0.263580 | − | 0.311757i | ||||
\(43\) | −7.53977 | + | 4.35309i | −1.14980 | + | 0.663840i | −0.948839 | − | 0.315759i | \(-0.897741\pi\) |
−0.200964 | + | 0.979599i | \(0.564408\pi\) | |||||||
\(44\) | −3.72599 | − | 0.998376i | −0.561714 | − | 0.150511i | ||||
\(45\) | 1.00508 | + | 1.00508i | 0.149829 | + | 0.149829i | ||||
\(46\) | −5.73318 | − | 5.73318i | −0.845311 | − | 0.845311i | ||||
\(47\) | −6.14515 | − | 1.64659i | −0.896362 | − | 0.240179i | −0.218909 | − | 0.975745i | \(-0.570250\pi\) |
−0.677453 | + | 0.735566i | \(0.736916\pi\) | |||||||
\(48\) | −0.866025 | + | 0.500000i | −0.125000 | + | 0.0721688i | ||||
\(49\) | −2.44309 | − | 6.55983i | −0.349012 | − | 0.937118i | ||||
\(50\) | 2.87810 | − | 0.771184i | 0.407024 | − | 0.109062i | ||||
\(51\) | 2.04418 | − | 1.18021i | 0.286243 | − | 0.165262i | ||||
\(52\) | 3.15494 | − | 1.74539i | 0.437511 | − | 0.242041i | ||||
\(53\) | −4.08469 | + | 7.07489i | −0.561076 | + | 0.971811i | 0.436327 | + | 0.899788i | \(0.356279\pi\) |
−0.997403 | + | 0.0720233i | \(0.977054\pi\) | |||||||
\(54\) | −0.707107 | − | 0.707107i | −0.0962250 | − | 0.0962250i | ||||
\(55\) | 4.74837 | + | 2.74147i | 0.640270 | + | 0.369660i | ||||
\(56\) | −2.60383 | + | 0.469134i | −0.347951 | + | 0.0626906i | ||||
\(57\) | −4.27628 | + | 4.27628i | −0.566407 | + | 0.566407i | ||||
\(58\) | 0.114263 | + | 0.426435i | 0.0150035 | + | 0.0559937i | ||||
\(59\) | −5.93929 | + | 5.93929i | −0.773230 | + | 0.773230i | −0.978670 | − | 0.205440i | \(-0.934137\pi\) |
0.205440 | + | 0.978670i | \(0.434137\pi\) | |||||||
\(60\) | 1.37297 | − | 0.367885i | 0.177249 | − | 0.0474938i | ||||
\(61\) | 9.22941 | + | 5.32860i | 1.18170 | + | 0.682257i | 0.956408 | − | 0.292033i | \(-0.0943317\pi\) |
0.225296 | + | 0.974290i | \(0.427665\pi\) | |||||||
\(62\) | 1.65228 | − | 2.86183i | 0.209839 | − | 0.363452i | ||||
\(63\) | −1.12707 | − | 2.39368i | −0.141997 | − | 0.301576i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −4.97372 | + | 1.23570i | −0.616914 | + | 0.153270i | ||||
\(66\) | −3.34063 | − | 1.92872i | −0.411203 | − | 0.237408i | ||||
\(67\) | 0.0380657 | + | 0.0101997i | 0.00465047 | + | 0.00124609i | 0.261144 | − | 0.965300i | \(-0.415900\pi\) |
−0.256493 | + | 0.966546i | \(0.582567\pi\) | |||||||
\(68\) | − | 2.36042i | − | 0.286243i | ||||||
\(69\) | −4.05397 | − | 7.02168i | −0.488041 | − | 0.845311i | ||||
\(70\) | 3.74755 | + | 0.313804i | 0.447918 | + | 0.0375068i | ||||
\(71\) | −12.2523 | − | 3.28299i | −1.45408 | − | 0.389619i | −0.556637 | − | 0.830756i | \(-0.687909\pi\) |
−0.897440 | + | 0.441137i | \(0.854575\pi\) | |||||||
\(72\) | −0.965926 | + | 0.258819i | −0.113835 | + | 0.0305021i | ||||
\(73\) | 2.06986 | + | 7.72484i | 0.242259 | + | 0.904124i | 0.974741 | + | 0.223337i | \(0.0716952\pi\) |
−0.732482 | + | 0.680786i | \(0.761638\pi\) | |||||||
\(74\) | 7.58736 | 0.882013 | ||||||||
\(75\) | 2.97962 | 0.344057 | ||||||||
\(76\) | 1.56523 | + | 5.84150i | 0.179544 | + | 0.670066i | ||||
\(77\) | −6.58924 | − | 7.79360i | −0.750914 | − | 0.888163i | ||||
\(78\) | 3.49917 | − | 0.869355i | 0.396203 | − | 0.0984351i | ||||
\(79\) | 6.14585 | + | 10.6449i | 0.691462 | + | 1.19765i | 0.971359 | + | 0.237618i | \(0.0763666\pi\) |
−0.279896 | + | 0.960030i | \(0.590300\pi\) | |||||||
\(80\) | 0.367885 | − | 1.37297i | 0.0411308 | − | 0.153502i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0.690622 | − | 1.19619i | 0.0762664 | − | 0.132097i | ||||
\(83\) | 9.37857 | + | 9.37857i | 1.02943 | + | 1.02943i | 0.999554 | + | 0.0298777i | \(0.00951178\pi\) |
0.0298777 | + | 0.999554i | \(0.490488\pi\) | |||||||
\(84\) | −2.63652 | − | 0.220772i | −0.287668 | − | 0.0240881i | ||||
\(85\) | −0.868362 | + | 3.24077i | −0.0941871 | + | 0.351511i | ||||
\(86\) | −2.25332 | + | 8.40952i | −0.242982 | + | 0.906822i | ||||
\(87\) | 0.441478i | 0.0473314i | ||||||||
\(88\) | −3.34063 | + | 1.92872i | −0.356113 | + | 0.205602i | ||||
\(89\) | 1.45796 | − | 1.45796i | 0.154544 | − | 0.154544i | −0.625600 | − | 0.780144i | \(-0.715146\pi\) |
0.780144 | + | 0.625600i | \(0.215146\pi\) | |||||||
\(90\) | 1.42140 | 0.149829 | ||||||||
\(91\) | 9.48998 | + | 0.969671i | 0.994820 | + | 0.101649i | ||||
\(92\) | −8.10794 | −0.845311 | ||||||||
\(93\) | 2.33667 | − | 2.33667i | 0.242302 | − | 0.242302i | ||||
\(94\) | −5.50959 | + | 3.18096i | −0.568270 | + | 0.328091i | ||||
\(95\) | − | 8.59601i | − | 0.881932i | ||||||
\(96\) | −0.258819 | + | 0.965926i | −0.0264156 | + | 0.0985844i | ||||
\(97\) | −3.62024 | + | 13.5109i | −0.367580 | + | 1.37183i | 0.496310 | + | 0.868146i | \(0.334688\pi\) |
−0.863889 | + | 0.503681i | \(0.831979\pi\) | |||||||
\(98\) | −6.36602 | − | 2.91098i | −0.643065 | − | 0.294053i | ||||
\(99\) | −2.72762 | − | 2.72762i | −0.274136 | − | 0.274136i | ||||
\(100\) | 1.48981 | − | 2.58043i | 0.148981 | − | 0.258043i | ||||
\(101\) | 2.30534 | + | 3.99296i | 0.229390 | + | 0.397315i | 0.957627 | − | 0.288010i | \(-0.0929936\pi\) |
−0.728238 | + | 0.685325i | \(0.759660\pi\) | |||||||
\(102\) | 0.610921 | − | 2.27999i | 0.0604902 | − | 0.225752i | ||||
\(103\) | −6.27668 | − | 10.8715i | −0.618460 | − | 1.07120i | −0.989767 | − | 0.142694i | \(-0.954424\pi\) |
0.371307 | − | 0.928510i | \(-0.378910\pi\) | |||||||
\(104\) | 0.996704 | − | 3.46505i | 0.0977348 | − | 0.339776i | ||||
\(105\) | 3.53864 | + | 1.27305i | 0.345336 | + | 0.124237i | ||||
\(106\) | 2.11439 | + | 7.89102i | 0.205368 | + | 0.766443i | ||||
\(107\) | 0.574182 | 0.0555083 | 0.0277541 | − | 0.999615i | \(-0.491164\pi\) | ||||
0.0277541 | + | 0.999615i | \(0.491164\pi\) | |||||||
\(108\) | −1.00000 | −0.0962250 | ||||||||
\(109\) | −5.04790 | − | 18.8390i | −0.483501 | − | 1.80445i | −0.586718 | − | 0.809791i | \(-0.699580\pi\) |
0.103218 | − | 0.994659i | \(-0.467086\pi\) | |||||||
\(110\) | 5.29612 | − | 1.41909i | 0.504965 | − | 0.135305i | ||||
\(111\) | 7.32883 | + | 1.96375i | 0.695622 | + | 0.186391i | ||||
\(112\) | −1.50946 | + | 2.17291i | −0.142630 | + | 0.205321i | ||||
\(113\) | 5.28204 | + | 9.14876i | 0.496892 | + | 0.860643i | 0.999994 | − | 0.00358469i | \(-0.00114104\pi\) |
−0.503101 | + | 0.864227i | \(0.667808\pi\) | |||||||
\(114\) | 6.04757i | 0.566407i | ||||||||
\(115\) | 11.1319 | + | 2.98279i | 1.03806 | + | 0.278147i | ||||
\(116\) | 0.382331 | + | 0.220739i | 0.0354986 | + | 0.0204951i | ||||
\(117\) | 3.60495 | + | 0.0659206i | 0.333278 | + | 0.00609436i | ||||
\(118\) | 8.39942i | 0.773230i | ||||||||
\(119\) | 3.56294 | − | 5.12898i | 0.326615 | − | 0.470172i | ||||
\(120\) | 0.710699 | − | 1.23097i | 0.0648777 | − | 0.112371i | ||||
\(121\) | −3.35998 | − | 1.93988i | −0.305452 | − | 0.176353i | ||||
\(122\) | 10.2941 | − | 2.75829i | 0.931981 | − | 0.249724i | ||||
\(123\) | 0.976687 | − | 0.976687i | 0.0880649 | − | 0.0880649i | ||||
\(124\) | −0.855281 | − | 3.19195i | −0.0768065 | − | 0.286646i | ||||
\(125\) | −8.02017 | + | 8.02017i | −0.717346 | + | 0.717346i | ||||
\(126\) | −2.48955 | − | 0.895632i | −0.221786 | − | 0.0797892i | ||||
\(127\) | 13.6070 | + | 7.85602i | 1.20743 | + | 0.697109i | 0.962197 | − | 0.272355i | \(-0.0878027\pi\) |
0.245232 | + | 0.969465i | \(0.421136\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | −4.35309 | + | 7.53977i | −0.383268 | + | 0.663840i | ||||
\(130\) | −2.64318 | + | 4.39073i | −0.231822 | + | 0.385092i | ||||
\(131\) | 12.0386 | − | 6.95051i | 1.05182 | − | 0.607269i | 0.128662 | − | 0.991688i | \(-0.458932\pi\) |
0.923159 | + | 0.384420i | \(0.125598\pi\) | |||||||
\(132\) | −3.72599 | + | 0.998376i | −0.324306 | + | 0.0868975i | ||||
\(133\) | −5.41639 | + | 15.0557i | −0.469661 | + | 1.30550i | ||||
\(134\) | 0.0341288 | − | 0.0197043i | 0.00294828 | − | 0.00170219i | ||||
\(135\) | 1.37297 | + | 0.367885i | 0.118166 | + | 0.0316625i | ||||
\(136\) | −1.66907 | − | 1.66907i | −0.143121 | − | 0.143121i | ||||
\(137\) | −7.51981 | − | 7.51981i | −0.642461 | − | 0.642461i | 0.308699 | − | 0.951160i | \(-0.400106\pi\) |
−0.951160 | + | 0.308699i | \(0.900106\pi\) | |||||||
\(138\) | −7.83167 | − | 2.09849i | −0.666676 | − | 0.178635i | ||||
\(139\) | −4.31229 | + | 2.48970i | −0.365764 | + | 0.211174i | −0.671606 | − | 0.740908i | \(-0.734395\pi\) |
0.305842 | + | 0.952082i | \(0.401062\pi\) | |||||||
\(140\) | 2.87181 | − | 2.42803i | 0.242713 | − | 0.205206i | ||||
\(141\) | −6.14515 | + | 1.64659i | −0.517515 | + | 0.138668i | ||||
\(142\) | −10.9851 | + | 6.34224i | −0.921848 | + | 0.532229i | ||||
\(143\) | 13.4978 | − | 3.35348i | 1.12874 | − | 0.280432i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −0.443721 | − | 0.443721i | −0.0368490 | − | 0.0368490i | ||||
\(146\) | 6.92590 | + | 3.99867i | 0.573192 | + | 0.330932i | ||||
\(147\) | −5.39569 | − | 4.45943i | −0.445029 | − | 0.367808i | ||||
\(148\) | 5.36507 | − | 5.36507i | 0.441006 | − | 0.441006i | ||||
\(149\) | −2.03574 | − | 7.59748i | −0.166774 | − | 0.622410i | −0.997807 | − | 0.0661868i | \(-0.978917\pi\) |
0.831033 | − | 0.556223i | \(-0.187750\pi\) | |||||||
\(150\) | 2.10691 | − | 2.10691i | 0.172029 | − | 0.172029i | ||||
\(151\) | −14.8742 | + | 3.98554i | −1.21045 | + | 0.324338i | −0.806937 | − | 0.590637i | \(-0.798877\pi\) |
−0.403510 | + | 0.914975i | \(0.632210\pi\) | |||||||
\(152\) | 5.23735 | + | 3.02378i | 0.424805 | + | 0.245261i | ||||
\(153\) | 1.18021 | − | 2.04418i | 0.0954142 | − | 0.165262i | ||||
\(154\) | −10.1702 | − | 0.851611i | −0.819539 | − | 0.0686248i | ||||
\(155\) | 4.69709i | 0.377279i | ||||||||
\(156\) | 1.85956 | − | 3.08902i | 0.148884 | − | 0.247319i | ||||
\(157\) | −8.88249 | − | 5.12831i | −0.708900 | − | 0.409283i | 0.101754 | − | 0.994810i | \(-0.467555\pi\) |
−0.810653 | + | 0.585526i | \(0.800888\pi\) | |||||||
\(158\) | 11.8729 | + | 3.18133i | 0.944555 | + | 0.253093i | ||||
\(159\) | 8.16938i | 0.647874i | ||||||||
\(160\) | −0.710699 | − | 1.23097i | −0.0561857 | − | 0.0973165i | ||||
\(161\) | −17.6178 | − | 12.2386i | −1.38848 | − | 0.964535i | ||||
\(162\) | −0.965926 | − | 0.258819i | −0.0758903 | − | 0.0203347i | ||||
\(163\) | −1.72071 | + | 0.461062i | −0.134776 | + | 0.0361132i | −0.325576 | − | 0.945516i | \(-0.605558\pi\) |
0.190800 | + | 0.981629i | \(0.438892\pi\) | |||||||
\(164\) | −0.357492 | − | 1.33418i | −0.0279154 | − | 0.104182i | ||||
\(165\) | 5.48295 | 0.426847 | ||||||||
\(166\) | 13.2633 | 1.02943 | ||||||||
\(167\) | −0.545200 | − | 2.03471i | −0.0421888 | − | 0.157451i | 0.941618 | − | 0.336683i | \(-0.109305\pi\) |
−0.983807 | + | 0.179233i | \(0.942639\pi\) | |||||||
\(168\) | −2.02041 | + | 1.70820i | −0.155878 | + | 0.131790i | ||||
\(169\) | −6.90726 | + | 11.0132i | −0.531328 | + | 0.847166i | ||||
\(170\) | 1.67755 | + | 2.90560i | 0.128662 | + | 0.222849i | ||||
\(171\) | −1.56523 | + | 5.84150i | −0.119696 | + | 0.446711i | ||||
\(172\) | 4.35309 | + | 7.53977i | 0.331920 | + | 0.574902i | ||||
\(173\) | 2.20729 | − | 3.82314i | 0.167817 | − | 0.290668i | −0.769835 | − | 0.638243i | \(-0.779661\pi\) |
0.937652 | + | 0.347575i | \(0.112995\pi\) | |||||||
\(174\) | 0.312172 | + | 0.312172i | 0.0236657 | + | 0.0236657i | ||||
\(175\) | 7.13228 | − | 3.35824i | 0.539149 | − | 0.253859i | ||||
\(176\) | −0.998376 | + | 3.72599i | −0.0752555 | + | 0.280857i | ||||
\(177\) | −2.17393 | + | 8.11322i | −0.163403 | + | 0.609827i | ||||
\(178\) | − | 2.06187i | − | 0.154544i | ||||||
\(179\) | −19.6430 | + | 11.3409i | −1.46819 | + | 0.847660i | −0.999365 | − | 0.0356312i | \(-0.988656\pi\) |
−0.468825 | + | 0.883291i | \(0.655322\pi\) | |||||||
\(180\) | 1.00508 | − | 1.00508i | 0.0749143 | − | 0.0749143i | ||||
\(181\) | 4.69879 | 0.349259 | 0.174629 | − | 0.984634i | \(-0.444127\pi\) | ||||
0.174629 | + | 0.984634i | \(0.444127\pi\) | |||||||
\(182\) | 7.39609 | − | 6.02477i | 0.548235 | − | 0.446586i | ||||
\(183\) | 10.6572 | 0.787803 | ||||||||
\(184\) | −5.73318 | + | 5.73318i | −0.422656 | + | 0.422656i | ||||
\(185\) | −9.33980 | + | 5.39233i | −0.686675 | + | 0.396452i | ||||
\(186\) | − | 3.30455i | − | 0.242302i | ||||||
\(187\) | 2.35658 | − | 8.79489i | 0.172330 | − | 0.643146i | ||||
\(188\) | −1.64659 | + | 6.14515i | −0.120090 | + | 0.448181i | ||||
\(189\) | −2.17291 | − | 1.50946i | −0.158056 | − | 0.109797i | ||||
\(190\) | −6.07829 | − | 6.07829i | −0.440966 | − | 0.440966i | ||||
\(191\) | 11.5048 | − | 19.9269i | 0.832457 | − | 1.44186i | −0.0636265 | − | 0.997974i | \(-0.520267\pi\) |
0.896084 | − | 0.443885i | \(-0.146400\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | 1.13349 | − | 4.23024i | 0.0815904 | − | 0.304499i | −0.913056 | − | 0.407833i | \(-0.866284\pi\) |
0.994647 | + | 0.103334i | \(0.0329511\pi\) | |||||||
\(194\) | 6.99377 | + | 12.1136i | 0.502124 | + | 0.869703i | ||||
\(195\) | −3.68952 | + | 3.55701i | −0.264212 | + | 0.254723i | ||||
\(196\) | −6.55983 | + | 2.44309i | −0.468559 | + | 0.174506i | ||||
\(197\) | −2.73968 | − | 10.2246i | −0.195194 | − | 0.728476i | −0.992216 | − | 0.124525i | \(-0.960259\pi\) |
0.797022 | − | 0.603950i | \(-0.206407\pi\) | |||||||
\(198\) | −3.85743 | −0.274136 | ||||||||
\(199\) | 10.2868 | 0.729215 | 0.364608 | − | 0.931161i | \(-0.381203\pi\) | ||||
0.364608 | + | 0.931161i | \(0.381203\pi\) | |||||||
\(200\) | −0.771184 | − | 2.87810i | −0.0545309 | − | 0.203512i | ||||
\(201\) | 0.0380657 | − | 0.0101997i | 0.00268495 | − | 0.000719430i | ||||
\(202\) | 4.45357 | + | 1.19333i | 0.313352 | + | 0.0839625i | ||||
\(203\) | 0.497576 | + | 1.05676i | 0.0349230 | + | 0.0741699i | ||||
\(204\) | −1.18021 | − | 2.04418i | −0.0826311 | − | 0.143121i | ||||
\(205\) | 1.96330i | 0.137123i | ||||||||
\(206\) | −12.1256 | − | 3.24905i | −0.844832 | − | 0.226372i | ||||
\(207\) | −7.02168 | − | 4.05397i | −0.488041 | − | 0.281770i | ||||
\(208\) | −1.74539 | − | 3.15494i | −0.121021 | − | 0.218756i | ||||
\(209\) | 23.3281i | 1.61364i | ||||||||
\(210\) | 3.40238 | − | 1.60201i | 0.234786 | − | 0.110549i | ||||
\(211\) | −5.66861 | + | 9.81832i | −0.390243 | + | 0.675921i | −0.992481 | − | 0.122395i | \(-0.960942\pi\) |
0.602238 | + | 0.798317i | \(0.294276\pi\) | |||||||
\(212\) | 7.07489 | + | 4.08469i | 0.485906 | + | 0.280538i | ||||
\(213\) | −12.2523 | + | 3.28299i | −0.839512 | + | 0.224946i | ||||
\(214\) | 0.406008 | − | 0.406008i | 0.0277541 | − | 0.0277541i | ||||
\(215\) | −3.20287 | − | 11.9533i | −0.218434 | − | 0.815207i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | 2.95966 | − | 8.22684i | 0.200915 | − | 0.558474i | ||||
\(218\) | −16.8906 | − | 9.75179i | −1.14398 | − | 0.660474i | ||||
\(219\) | 5.65497 | + | 5.65497i | 0.382128 | + | 0.382128i | ||||
\(220\) | 2.74147 | − | 4.74837i | 0.184830 | − | 0.320135i | ||||
\(221\) | 4.11984 | + | 7.44697i | 0.277130 | + | 0.500937i | ||||
\(222\) | 6.57085 | − | 3.79368i | 0.441006 | − | 0.254615i | ||||
\(223\) | 4.73346 | − | 1.26833i | 0.316976 | − | 0.0849335i | −0.0968232 | − | 0.995302i | \(-0.530868\pi\) |
0.413799 | + | 0.910368i | \(0.364201\pi\) | |||||||
\(224\) | 0.469134 | + | 2.60383i | 0.0313453 | + | 0.173975i | ||||
\(225\) | 2.58043 | − | 1.48981i | 0.172029 | − | 0.0993208i | ||||
\(226\) | 10.2041 | + | 2.73418i | 0.678768 | + | 0.181875i | ||||
\(227\) | −5.20069 | − | 5.20069i | −0.345182 | − | 0.345182i | 0.513129 | − | 0.858311i | \(-0.328486\pi\) |
−0.858311 | + | 0.513129i | \(0.828486\pi\) | |||||||
\(228\) | 4.27628 | + | 4.27628i | 0.283203 | + | 0.283203i | ||||
\(229\) | 4.83929 | + | 1.29668i | 0.319789 | + | 0.0856873i | 0.415143 | − | 0.909756i | \(-0.363732\pi\) |
−0.0953536 | + | 0.995443i | \(0.530398\pi\) | |||||||
\(230\) | 9.98061 | − | 5.76231i | 0.658102 | − | 0.379955i | ||||
\(231\) | −9.60325 | − | 3.45484i | −0.631848 | − | 0.227312i | ||||
\(232\) | 0.426435 | − | 0.114263i | 0.0279968 | − | 0.00750173i | ||||
\(233\) | 9.40002 | − | 5.42710i | 0.615816 | − | 0.355541i | −0.159422 | − | 0.987210i | \(-0.550963\pi\) |
0.775238 | + | 0.631669i | \(0.217630\pi\) | |||||||
\(234\) | 2.59570 | − | 2.50247i | 0.169686 | − | 0.163592i | ||||
\(235\) | 4.52142 | − | 7.83132i | 0.294945 | − | 0.510859i | ||||
\(236\) | 5.93929 | + | 5.93929i | 0.386615 | + | 0.386615i | ||||
\(237\) | 10.6449 | + | 6.14585i | 0.691462 | + | 0.399216i | ||||
\(238\) | −1.10735 | − | 6.14612i | −0.0717789 | − | 0.398393i | ||||
\(239\) | 6.33211 | − | 6.33211i | 0.409590 | − | 0.409590i | −0.472006 | − | 0.881596i | \(-0.656470\pi\) |
0.881596 | + | 0.472006i | \(0.156470\pi\) | |||||||
\(240\) | −0.367885 | − | 1.37297i | −0.0237469 | − | 0.0886246i | ||||
\(241\) | 14.3855 | − | 14.3855i | 0.926649 | − | 0.926649i | −0.0708386 | − | 0.997488i | \(-0.522568\pi\) |
0.997488 | + | 0.0708386i | \(0.0225675\pi\) | |||||||
\(242\) | −3.74757 | + | 1.00416i | −0.240903 | + | 0.0645497i | ||||
\(243\) | −0.866025 | − | 0.500000i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | 5.32860 | − | 9.22941i | 0.341129 | − | 0.590852i | ||||
\(245\) | 9.90519 | − | 0.941011i | 0.632820 | − | 0.0601190i | ||||
\(246\) | − | 1.38124i | − | 0.0880649i | ||||||
\(247\) | −15.1339 | − | 15.6976i | −0.962944 | − | 0.998818i | ||||
\(248\) | −2.86183 | − | 1.65228i | −0.181726 | − | 0.104920i | ||||
\(249\) | 12.8114 | + | 3.43279i | 0.811887 | + | 0.217544i | ||||
\(250\) | 11.3422i | 0.717346i | ||||||||
\(251\) | −0.890713 | − | 1.54276i | −0.0562213 | − | 0.0973782i | 0.836545 | − | 0.547898i | \(-0.184572\pi\) |
−0.892766 | + | 0.450520i | \(0.851239\pi\) | |||||||
\(252\) | −2.39368 | + | 1.12707i | −0.150788 | + | 0.0709986i | ||||
\(253\) | −30.2101 | − | 8.09478i | −1.89929 | − | 0.508914i | ||||
\(254\) | 15.1767 | − | 4.06658i | 0.952269 | − | 0.255160i | ||||
\(255\) | 0.868362 | + | 3.24077i | 0.0543789 | + | 0.202945i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 3.89260 | 0.242814 | 0.121407 | − | 0.992603i | \(-0.461259\pi\) | ||||
0.121407 | + | 0.992603i | \(0.461259\pi\) | |||||||
\(258\) | 2.25332 | + | 8.40952i | 0.140286 | + | 0.523554i | ||||
\(259\) | 19.7562 | − | 3.55949i | 1.22759 | − | 0.221176i | ||||
\(260\) | 1.23570 | + | 4.97372i | 0.0766349 | + | 0.308457i | ||||
\(261\) | 0.220739 | + | 0.382331i | 0.0136634 | + | 0.0236657i | ||||
\(262\) | 3.59785 | − | 13.4274i | 0.222276 | − | 0.829545i | ||||
\(263\) | −1.66195 | − | 2.87858i | −0.102480 | − | 0.177501i | 0.810226 | − | 0.586118i | \(-0.199344\pi\) |
−0.912706 | + | 0.408617i | \(0.866011\pi\) | |||||||
\(264\) | −1.92872 | + | 3.34063i | −0.118704 | + | 0.205602i | ||||
\(265\) | −8.21089 | − | 8.21089i | −0.504391 | − | 0.504391i | ||||
\(266\) | 6.81602 | + | 14.4760i | 0.417917 | + | 0.887578i | ||||
\(267\) | 0.533652 | − | 1.99161i | 0.0326589 | − | 0.121885i | ||||
\(268\) | 0.0101997 | − | 0.0380657i | 0.000623044 | − | 0.00232523i | ||||
\(269\) | 13.0921i | 0.798242i | 0.916898 | + | 0.399121i | \(0.130685\pi\) | ||||
−0.916898 | + | 0.399121i | \(0.869315\pi\) | |||||||
\(270\) | 1.23097 | − | 0.710699i | 0.0749143 | − | 0.0432518i | ||||
\(271\) | −17.1585 | + | 17.1585i | −1.04231 | + | 1.04231i | −0.0432406 | + | 0.999065i | \(0.513768\pi\) |
−0.999065 | + | 0.0432406i | \(0.986232\pi\) | |||||||
\(272\) | −2.36042 | −0.143121 | ||||||||
\(273\) | 8.70340 | − | 3.90523i | 0.526754 | − | 0.236355i | ||||
\(274\) | −10.6346 | −0.642461 | ||||||||
\(275\) | 8.12727 | − | 8.12727i | 0.490093 | − | 0.490093i | ||||
\(276\) | −7.02168 | + | 4.05397i | −0.422656 | + | 0.244020i | ||||
\(277\) | − | 29.9233i | − | 1.79792i | −0.438032 | − | 0.898959i | \(-0.644324\pi\) | ||
0.438032 | − | 0.898959i | \(-0.355676\pi\) | |||||||
\(278\) | −1.28877 | + | 4.80974i | −0.0772950 | + | 0.288469i | ||||
\(279\) | 0.855281 | − | 3.19195i | 0.0512043 | − | 0.191097i | ||||
\(280\) | 0.313804 | − | 3.74755i | 0.0187534 | − | 0.223959i | ||||
\(281\) | −14.1065 | − | 14.1065i | −0.841521 | − | 0.841521i | 0.147535 | − | 0.989057i | \(-0.452866\pi\) |
−0.989057 | + | 0.147535i | \(0.952866\pi\) | |||||||
\(282\) | −3.18096 | + | 5.50959i | −0.189423 | + | 0.328091i | ||||
\(283\) | −8.34190 | − | 14.4486i | −0.495874 | − | 0.858880i | 0.504114 | − | 0.863637i | \(-0.331819\pi\) |
−0.999989 | + | 0.00475723i | \(0.998486\pi\) | |||||||
\(284\) | −3.28299 | + | 12.2523i | −0.194809 | + | 0.727038i | ||||
\(285\) | −4.29800 | − | 7.44436i | −0.254592 | − | 0.440966i | ||||
\(286\) | 7.17314 | − | 11.9157i | 0.424156 | − | 0.704588i | ||||
\(287\) | 1.23709 | − | 3.43867i | 0.0730228 | − | 0.202978i | ||||
\(288\) | 0.258819 | + | 0.965926i | 0.0152511 | + | 0.0569177i | ||||
\(289\) | −11.4284 | −0.672261 | ||||||||
\(290\) | −0.627516 | −0.0368490 | ||||||||
\(291\) | 3.62024 | + | 13.5109i | 0.212222 | + | 0.792025i | ||||
\(292\) | 7.72484 | − | 2.06986i | 0.452062 | − | 0.121130i | ||||
\(293\) | −31.5634 | − | 8.45739i | −1.84395 | − | 0.494086i | −0.844796 | − | 0.535089i | \(-0.820278\pi\) |
−0.999159 | + | 0.0410025i | \(0.986945\pi\) | |||||||
\(294\) | −6.96862 | + | 0.662032i | −0.406418 | + | 0.0386105i | ||||
\(295\) | −5.96947 | − | 10.3394i | −0.347556 | − | 0.601984i | ||||
\(296\) | − | 7.58736i | − | 0.441006i | ||||||
\(297\) | −3.72599 | − | 0.998376i | −0.216204 | − | 0.0579317i | ||||
\(298\) | −6.81171 | − | 3.93275i | −0.394592 | − | 0.227818i | ||||
\(299\) | 25.5800 | − | 14.1515i | 1.47933 | − | 0.818401i | ||||
\(300\) | − | 2.97962i | − | 0.172029i | ||||||
\(301\) | −1.92208 | + | 22.9540i | −0.110787 | + | 1.32305i | ||||
\(302\) | −7.69947 | + | 13.3359i | −0.443054 | + | 0.767393i | ||||
\(303\) | 3.99296 | + | 2.30534i | 0.229390 | + | 0.132438i | ||||
\(304\) | 5.84150 | − | 1.56523i | 0.335033 | − | 0.0897718i | ||||
\(305\) | −10.7113 | + | 10.7113i | −0.613330 | + | 0.613330i | ||||
\(306\) | −0.610921 | − | 2.27999i | −0.0349240 | − | 0.130338i | ||||
\(307\) | 3.32023 | − | 3.32023i | 0.189496 | − | 0.189496i | −0.605982 | − | 0.795478i | \(-0.707220\pi\) |
0.795478 | + | 0.605982i | \(0.207220\pi\) | |||||||
\(308\) | −7.79360 | + | 6.58924i | −0.444082 | + | 0.375457i | ||||
\(309\) | −10.8715 | − | 6.27668i | −0.618460 | − | 0.357068i | ||||
\(310\) | 3.32134 | + | 3.32134i | 0.188640 | + | 0.188640i | ||||
\(311\) | 13.3219 | − | 23.0743i | 0.755417 | − | 1.30842i | −0.189749 | − | 0.981833i | \(-0.560768\pi\) |
0.945167 | − | 0.326588i | \(-0.105899\pi\) | |||||||
\(312\) | −0.869355 | − | 3.49917i | −0.0492175 | − | 0.198102i | ||||
\(313\) | 6.79782 | − | 3.92473i | 0.384236 | − | 0.221839i | −0.295424 | − | 0.955366i | \(-0.595461\pi\) |
0.679660 | + | 0.733528i | \(0.262128\pi\) | |||||||
\(314\) | −9.90713 | + | 2.65461i | −0.559091 | + | 0.149808i | ||||
\(315\) | 3.70108 | − | 0.666826i | 0.208532 | − | 0.0375714i | ||||
\(316\) | 10.6449 | − | 6.14585i | 0.598824 | − | 0.345731i | ||||
\(317\) | −4.83309 | − | 1.29502i | −0.271454 | − | 0.0727358i | 0.120524 | − | 0.992710i | \(-0.461542\pi\) |
−0.391978 | + | 0.919975i | \(0.628209\pi\) | |||||||
\(318\) | 5.77663 | + | 5.77663i | 0.323937 | + | 0.323937i | ||||
\(319\) | 1.20418 | + | 1.20418i | 0.0674213 | + | 0.0674213i | ||||
\(320\) | −1.37297 | − | 0.367885i | −0.0767511 | − | 0.0205654i | ||||
\(321\) | 0.497256 | − | 0.287091i | 0.0277541 | − | 0.0160239i | ||||
\(322\) | −21.1117 | + | 3.80371i | −1.17651 | + | 0.211972i | ||||
\(323\) | −13.7884 | + | 3.69458i | −0.767206 | + | 0.205572i | ||||
\(324\) | −0.866025 | + | 0.500000i | −0.0481125 | + | 0.0277778i | ||||
\(325\) | −0.196419 | + | 10.7414i | −0.0108953 | + | 0.595825i | ||||
\(326\) | −0.890703 | + | 1.54274i | −0.0493315 | + | 0.0854447i | ||||
\(327\) | −13.7911 | − | 13.7911i | −0.762650 | − | 0.762650i | ||||
\(328\) | −1.19619 | − | 0.690622i | −0.0660487 | − | 0.0381332i | ||||
\(329\) | −12.8537 | + | 10.8674i | −0.708648 | + | 0.599139i | ||||
\(330\) | 3.87703 | − | 3.87703i | 0.213423 | − | 0.213423i | ||||
\(331\) | −1.80754 | − | 6.74583i | −0.0993513 | − | 0.370784i | 0.898292 | − | 0.439399i | \(-0.144809\pi\) |
−0.997643 | + | 0.0686150i | \(0.978142\pi\) | |||||||
\(332\) | 9.37857 | − | 9.37857i | 0.514716 | − | 0.514716i | ||||
\(333\) | 7.32883 | − | 1.96375i | 0.401617 | − | 0.107613i | ||||
\(334\) | −1.82427 | − | 1.05324i | −0.0998198 | − | 0.0576310i | ||||
\(335\) | −0.0280076 | + | 0.0485106i | −0.00153022 | + | 0.00265042i | ||||
\(336\) | −0.220772 | + | 2.63652i | −0.0120441 | + | 0.143834i | ||||
\(337\) | 11.2260i | 0.611518i | 0.952109 | + | 0.305759i | \(0.0989101\pi\) | ||||
−0.952109 | + | 0.305759i | \(0.901090\pi\) | |||||||
\(338\) | 2.90331 | + | 12.6717i | 0.157919 | + | 0.689247i | ||||
\(339\) | 9.14876 | + | 5.28204i | 0.496892 | + | 0.286881i | ||||
\(340\) | 3.24077 | + | 0.868362i | 0.175756 | + | 0.0470935i | ||||
\(341\) | − | 12.7471i | − | 0.690293i | ||||||
\(342\) | 3.02378 | + | 5.23735i | 0.163507 | + | 0.283203i | ||||
\(343\) | −17.9417 | − | 4.59316i | −0.968758 | − | 0.248007i | ||||
\(344\) | 8.40952 | + | 2.25332i | 0.453411 | + | 0.121491i | ||||
\(345\) | 11.1319 | − | 2.98279i | 0.599323 | − | 0.160588i | ||||
\(346\) | −1.14258 | − | 4.26416i | −0.0614254 | − | 0.229243i | ||||
\(347\) | 32.2202 | 1.72967 | 0.864836 | − | 0.502055i | \(-0.167423\pi\) | ||||
0.864836 | + | 0.502055i | \(0.167423\pi\) | |||||||
\(348\) | 0.441478 | 0.0236657 | ||||||||
\(349\) | −0.290712 | − | 1.08495i | −0.0155614 | − | 0.0580761i | 0.957709 | − | 0.287740i | \(-0.0929039\pi\) |
−0.973270 | + | 0.229664i | \(0.926237\pi\) | |||||||
\(350\) | 2.66865 | − | 7.41792i | 0.142645 | − | 0.396504i | ||||
\(351\) | 3.15494 | − | 1.74539i | 0.168398 | − | 0.0931618i | ||||
\(352\) | 1.92872 | + | 3.34063i | 0.102801 | + | 0.178056i | ||||
\(353\) | −2.30028 | + | 8.58477i | −0.122432 | + | 0.456921i | −0.999735 | − | 0.0230148i | \(-0.992674\pi\) |
0.877303 | + | 0.479936i | \(0.159340\pi\) | |||||||
\(354\) | 4.19971 | + | 7.27411i | 0.223212 | + | 0.386615i | ||||
\(355\) | 9.01485 | − | 15.6142i | 0.478459 | − | 0.828715i | ||||
\(356\) | −1.45796 | − | 1.45796i | −0.0772719 | − | 0.0772719i | ||||
\(357\) | 0.521113 | − | 6.22330i | 0.0275802 | − | 0.329372i | ||||
\(358\) | −5.87049 | + | 21.9090i | −0.310265 | + | 1.15792i | ||||
\(359\) | −2.50353 | + | 9.34329i | −0.132131 | + | 0.493120i | −0.999993 | − | 0.00368517i | \(-0.998827\pi\) |
0.867862 | + | 0.496805i | \(0.165494\pi\) | |||||||
\(360\) | − | 1.42140i | − | 0.0749143i | ||||||
\(361\) | 15.2187 | − | 8.78654i | 0.800986 | − | 0.462449i | ||||
\(362\) | 3.32255 | − | 3.32255i | 0.174629 | − | 0.174629i | ||||
\(363\) | −3.87977 | −0.203635 | ||||||||
\(364\) | 0.969671 | − | 9.48998i | 0.0508246 | − | 0.497410i | ||||
\(365\) | −11.3674 | −0.594997 | ||||||||
\(366\) | 7.53578 | − | 7.53578i | 0.393902 | − | 0.393902i | ||||
\(367\) | 23.0143 | − | 13.2873i | 1.20134 | − | 0.693591i | 0.240483 | − | 0.970653i | \(-0.422694\pi\) |
0.960852 | + | 0.277062i | \(0.0893607\pi\) | |||||||
\(368\) | 8.10794i | 0.422656i | ||||||||
\(369\) | 0.357492 | − | 1.33418i | 0.0186103 | − | 0.0694546i | ||||
\(370\) | −2.79128 | + | 10.4172i | −0.145112 | + | 0.541564i | ||||
\(371\) | 9.20745 | + | 19.5549i | 0.478027 | + | 1.01524i | ||||
\(372\) | −2.33667 | − | 2.33667i | −0.121151 | − | 0.121151i | ||||
\(373\) | 4.87556 | − | 8.44473i | 0.252447 | − | 0.437251i | −0.711752 | − | 0.702431i | \(-0.752098\pi\) |
0.964199 | + | 0.265180i | \(0.0854313\pi\) | |||||||
\(374\) | −4.55257 | − | 7.88528i | −0.235408 | − | 0.407738i | ||||
\(375\) | −2.93559 | + | 10.9558i | −0.151593 | + | 0.565753i | ||||
\(376\) | 3.18096 | + | 5.50959i | 0.164046 | + | 0.284135i | ||||
\(377\) | −1.59151 | − | 0.0291025i | −0.0819667 | − | 0.00149885i | ||||
\(378\) | −2.60383 | + | 0.469134i | −0.133926 | + | 0.0241296i | ||||
\(379\) | 7.08824 | + | 26.4537i | 0.364098 | + | 1.35883i | 0.868639 | + | 0.495445i | \(0.164995\pi\) |
−0.504541 | + | 0.863388i | \(0.668338\pi\) | |||||||
\(380\) | −8.59601 | −0.440966 | ||||||||
\(381\) | 15.7120 | 0.804952 | ||||||||
\(382\) | −5.95532 | − | 22.2255i | −0.304701 | − | 1.13716i | ||||
\(383\) | −29.6308 | + | 7.93955i | −1.51406 | + | 0.405692i | −0.917783 | − | 0.397083i | \(-0.870022\pi\) |
−0.596281 | + | 0.802776i | \(0.703356\pi\) | |||||||
\(384\) | 0.965926 | + | 0.258819i | 0.0492922 | + | 0.0132078i | ||||
\(385\) | 13.1244 | − | 6.17966i | 0.668883 | − | 0.314944i | ||||
\(386\) | −2.18973 | − | 3.79273i | −0.111455 | − | 0.193045i | ||||
\(387\) | 8.70617i | 0.442560i | ||||||||
\(388\) | 13.5109 | + | 3.62024i | 0.685914 | + | 0.183790i | ||||
\(389\) | −2.94763 | − | 1.70182i | −0.149451 | − | 0.0862855i | 0.423410 | − | 0.905938i | \(-0.360833\pi\) |
−0.572861 | + | 0.819653i | \(0.694166\pi\) | |||||||
\(390\) | −0.0936995 | + | 5.12407i | −0.00474466 | + | 0.259467i | ||||
\(391\) | − | 19.1381i | − | 0.967856i | ||||||
\(392\) | −2.91098 | + | 6.36602i | −0.147026 | + | 0.321533i | ||||
\(393\) | 6.95051 | − | 12.0386i | 0.350607 | − | 0.607269i | ||||
\(394\) | −9.16716 | − | 5.29266i | −0.461835 | − | 0.266641i | ||||
\(395\) | −16.8761 | + | 4.52194i | −0.849128 | + | 0.227523i | ||||
\(396\) | −2.72762 | + | 2.72762i | −0.137068 | + | 0.137068i | ||||
\(397\) | −6.61809 | − | 24.6991i | −0.332153 | − | 1.23961i | −0.906923 | − | 0.421296i | \(-0.861575\pi\) |
0.574771 | − | 0.818315i | \(-0.305091\pi\) | |||||||
\(398\) | 7.27390 | − | 7.27390i | 0.364608 | − | 0.364608i | ||||
\(399\) | 2.83712 | + | 15.7468i | 0.142034 | + | 0.788327i | ||||
\(400\) | −2.58043 | − | 1.48981i | −0.129022 | − | 0.0744906i | ||||
\(401\) | −1.51269 | − | 1.51269i | −0.0755399 | − | 0.0755399i | 0.668327 | − | 0.743867i | \(-0.267011\pi\) |
−0.743867 | + | 0.668327i | \(0.767011\pi\) | |||||||
\(402\) | 0.0197043 | − | 0.0341288i | 0.000982759 | − | 0.00170219i | ||||
\(403\) | 8.26955 | + | 8.57762i | 0.411935 | + | 0.427281i | ||||
\(404\) | 3.99296 | − | 2.30534i | 0.198657 | − | 0.114695i | ||||
\(405\) | 1.37297 | − | 0.367885i | 0.0682232 | − | 0.0182804i | ||||
\(406\) | 1.09908 | + | 0.395402i | 0.0545464 | + | 0.0196235i | ||||
\(407\) | 25.3466 | − | 14.6339i | 1.25638 | − | 0.725373i | ||||
\(408\) | −2.27999 | − | 0.610921i | −0.112876 | − | 0.0302451i | ||||
\(409\) | −13.0979 | − | 13.0979i | −0.647652 | − | 0.647652i | 0.304773 | − | 0.952425i | \(-0.401419\pi\) |
−0.952425 | + | 0.304773i | \(0.901419\pi\) | |||||||
\(410\) | 1.38826 | + | 1.38826i | 0.0685613 | + | 0.0685613i | ||||
\(411\) | −10.2723 | − | 2.75244i | −0.506693 | − | 0.135768i | ||||
\(412\) | −10.8715 | + | 6.27668i | −0.535602 | + | 0.309230i | ||||
\(413\) | 3.94045 | + | 21.8706i | 0.193897 | + | 1.07618i | ||||
\(414\) | −7.83167 | + | 2.09849i | −0.384905 | + | 0.103135i | ||||
\(415\) | −16.3267 | + | 9.42622i | −0.801445 | + | 0.462715i | ||||
\(416\) | −3.46505 | − | 0.996704i | −0.169888 | − | 0.0488674i | ||||
\(417\) | −2.48970 | + | 4.31229i | −0.121921 | + | 0.211174i | ||||
\(418\) | 16.4954 | + | 16.4954i | 0.806818 | + | 0.806818i | ||||
\(419\) | 28.4741 | + | 16.4395i | 1.39105 | + | 0.803124i | 0.993432 | − | 0.114426i | \(-0.0365028\pi\) |
0.397620 | + | 0.917550i | \(0.369836\pi\) | |||||||
\(420\) | 1.27305 | − | 3.53864i | 0.0621185 | − | 0.172668i | ||||
\(421\) | 11.1258 | − | 11.1258i | 0.542238 | − | 0.542238i | −0.381946 | − | 0.924185i | \(-0.624746\pi\) |
0.924185 | + | 0.381946i | \(0.124746\pi\) | |||||||
\(422\) | 2.93429 | + | 10.9509i | 0.142839 | + | 0.533082i | ||||
\(423\) | −4.49856 | + | 4.49856i | −0.218727 | + | 0.218727i | ||||
\(424\) | 7.89102 | − | 2.11439i | 0.383222 | − | 0.102684i | ||||
\(425\) | 6.09089 | + | 3.51658i | 0.295452 | + | 0.170579i | ||||
\(426\) | −6.34224 | + | 10.9851i | −0.307283 | + | 0.532229i | ||||
\(427\) | 25.5100 | − | 12.0114i | 1.23451 | − | 0.581272i | ||||
\(428\) | − | 0.574182i | − | 0.0277541i | ||||||
\(429\) | 10.0127 | − | 9.65311i | 0.483419 | − | 0.466056i | ||||
\(430\) | −10.7170 | − | 6.18747i | −0.516821 | − | 0.298386i | ||||
\(431\) | 11.4795 | + | 3.07591i | 0.552946 | + | 0.148162i | 0.524464 | − | 0.851433i | \(-0.324266\pi\) |
0.0284825 | + | 0.999594i | \(0.490932\pi\) | |||||||
\(432\) | 1.00000i | 0.0481125i | ||||||||
\(433\) | 1.73495 | + | 3.00502i | 0.0833765 | + | 0.144412i | 0.904698 | − | 0.426053i | \(-0.140096\pi\) |
−0.821322 | + | 0.570465i | \(0.806763\pi\) | |||||||
\(434\) | −3.72446 | − | 7.91005i | −0.178780 | − | 0.379695i | ||||
\(435\) | −0.606134 | − | 0.162413i | −0.0290619 | − | 0.00778712i | ||||
\(436\) | −18.8390 | + | 5.04790i | −0.902225 | + | 0.241750i | ||||
\(437\) | 12.6908 | + | 47.3625i | 0.607081 | + | 2.26566i | ||||
\(438\) | 7.99734 | 0.382128 | ||||||||
\(439\) | −16.8928 | −0.806250 | −0.403125 | − | 0.915145i | \(-0.632076\pi\) | ||||
−0.403125 | + | 0.915145i | \(0.632076\pi\) | |||||||
\(440\) | −1.41909 | − | 5.29612i | −0.0676525 | − | 0.252483i | ||||
\(441\) | −6.90252 | − | 1.16414i | −0.328691 | − | 0.0554352i | ||||
\(442\) | 8.17896 | + | 2.35264i | 0.389034 | + | 0.111903i | ||||
\(443\) | 0.108413 | + | 0.187777i | 0.00515086 | + | 0.00892155i | 0.868589 | − | 0.495533i | \(-0.165027\pi\) |
−0.863438 | + | 0.504454i | \(0.831694\pi\) | |||||||
\(444\) | 1.96375 | − | 7.32883i | 0.0931956 | − | 0.347811i | ||||
\(445\) | 1.46537 | + | 2.53810i | 0.0694652 | + | 0.120317i | ||||
\(446\) | 2.45022 | − | 4.24391i | 0.116021 | − | 0.200955i | ||||
\(447\) | −5.56174 | − | 5.56174i | −0.263061 | − | 0.263061i | ||||
\(448\) | 2.17291 | + | 1.50946i | 0.102660 | + | 0.0713151i | ||||
\(449\) | 2.07566 | − | 7.74645i | 0.0979562 | − | 0.365578i | −0.899495 | − | 0.436931i | \(-0.856065\pi\) |
0.997451 | + | 0.0713537i | \(0.0227319\pi\) | |||||||
\(450\) | 0.771184 | − | 2.87810i | 0.0363539 | − | 0.135675i | ||||
\(451\) | − | 5.32805i | − | 0.250888i | ||||||
\(452\) | 9.14876 | − | 5.28204i | 0.430321 | − | 0.248446i | ||||
\(453\) | −10.8887 | + | 10.8887i | −0.511595 | + | 0.511595i | ||||
\(454\) | −7.35489 | −0.345182 | ||||||||
\(455\) | −4.82255 | + | 12.6727i | −0.226085 | + | 0.594105i | ||||
\(456\) | 6.04757 | 0.283203 | ||||||||
\(457\) | 22.0099 | − | 22.0099i | 1.02958 | − | 1.02958i | 0.0300309 | − | 0.999549i | \(-0.490439\pi\) |
0.999549 | − | 0.0300309i | \(-0.00956058\pi\) | |||||||
\(458\) | 4.33879 | − | 2.50500i | 0.202738 | − | 0.117051i | ||||
\(459\) | − | 2.36042i | − | 0.110175i | ||||||
\(460\) | 2.98279 | − | 11.1319i | 0.139073 | − | 0.519029i | ||||
\(461\) | −10.2018 | + | 38.0738i | −0.475147 | + | 1.77327i | 0.145689 | + | 0.989331i | \(0.453460\pi\) |
−0.620835 | + | 0.783941i | \(0.713206\pi\) | |||||||
\(462\) | −9.23346 | + | 4.34759i | −0.429580 | + | 0.202268i | ||||
\(463\) | 6.13141 | + | 6.13141i | 0.284951 | + | 0.284951i | 0.835080 | − | 0.550129i | \(-0.185421\pi\) |
−0.550129 | + | 0.835080i | \(0.685421\pi\) | |||||||
\(464\) | 0.220739 | − | 0.382331i | 0.0102476 | − | 0.0177493i | ||||
\(465\) | 2.34854 | + | 4.06780i | 0.108911 | + | 0.188640i | ||||
\(466\) | 2.80927 | − | 10.4844i | 0.130137 | − | 0.485678i | ||||
\(467\) | −6.52135 | − | 11.2953i | −0.301772 | − | 0.522684i | 0.674765 | − | 0.738032i | \(-0.264245\pi\) |
−0.976537 | + | 0.215348i | \(0.930911\pi\) | |||||||
\(468\) | 0.0659206 | − | 3.60495i | 0.00304718 | − | 0.166639i | ||||
\(469\) | 0.0796215 | − | 0.0673174i | 0.00367658 | − | 0.00310843i | ||||
\(470\) | −2.34046 | − | 8.73470i | −0.107957 | − | 0.402902i | ||||
\(471\) | −10.2566 | −0.472600 | ||||||||
\(472\) | 8.39942 | 0.386615 | ||||||||
\(473\) | 8.69204 | + | 32.4391i | 0.399660 | + | 1.49155i | ||||
\(474\) | 11.8729 | − | 3.18133i | 0.545339 | − | 0.146123i | ||||
\(475\) | −17.4055 | − | 4.66379i | −0.798618 | − | 0.213989i | ||||
\(476\) | −5.12898 | − | 3.56294i | −0.235086 | − | 0.163307i | ||||
\(477\) | 4.08469 | + | 7.07489i | 0.187025 | + | 0.323937i | ||||
\(478\) | − | 8.95495i | − | 0.409590i | ||||||
\(479\) | −33.7720 | − | 9.04918i | −1.54308 | − | 0.413467i | −0.615821 | − | 0.787886i | \(-0.711176\pi\) |
−0.927260 | + | 0.374418i | \(0.877842\pi\) | |||||||
\(480\) | −1.23097 | − | 0.710699i | −0.0561857 | − | 0.0324388i | ||||
\(481\) | −7.56235 | + | 26.2906i | −0.344814 | + | 1.19875i | ||||
\(482\) | − | 20.3441i | − | 0.926649i | ||||||
\(483\) | −21.3768 | − | 1.79000i | −0.972677 | − | 0.0814479i | ||||
\(484\) | −1.93988 | + | 3.35998i | −0.0881765 | + | 0.152726i | ||||
\(485\) | −17.2182 | − | 9.94094i | −0.781839 | − | 0.451395i | ||||
\(486\) | −0.965926 | + | 0.258819i | −0.0438153 | + | 0.0117403i | ||||
\(487\) | −23.3442 | + | 23.3442i | −1.05783 | + | 1.05783i | −0.0596036 | + | 0.998222i | \(0.518984\pi\) |
−0.998222 | + | 0.0596036i | \(0.981016\pi\) | |||||||
\(488\) | −2.75829 | − | 10.2941i | −0.124862 | − | 0.465991i | ||||
\(489\) | −1.25964 | + | 1.25964i | −0.0569631 | + | 0.0569631i | ||||
\(490\) | 6.33863 | − | 7.66943i | 0.286350 | − | 0.346469i | ||||
\(491\) | 36.0599 | + | 20.8192i | 1.62736 | + | 0.939556i | 0.984877 | + | 0.173256i | \(0.0554287\pi\) |
0.642482 | + | 0.766301i | \(0.277905\pi\) | |||||||
\(492\) | −0.976687 | − | 0.976687i | −0.0440324 | − | 0.0440324i | ||||
\(493\) | −0.521036 | + | 0.902461i | −0.0234663 | + | 0.0406448i | ||||
\(494\) | −21.8012 | − | 0.398659i | −0.980881 | − | 0.0179365i | ||||
\(495\) | 4.74837 | − | 2.74147i | 0.213423 | − | 0.123220i | ||||
\(496\) | −3.19195 | + | 0.855281i | −0.143323 | + | 0.0384033i | ||||
\(497\) | −25.6279 | + | 21.6676i | −1.14957 | + | 0.971923i | ||||
\(498\) | 11.4863 | − | 6.63165i | 0.514716 | − | 0.297171i | ||||
\(499\) | −6.56533 | − | 1.75918i | −0.293905 | − | 0.0787515i | 0.108854 | − | 0.994058i | \(-0.465282\pi\) |
−0.402759 | + | 0.915306i | \(0.631949\pi\) | |||||||
\(500\) | 8.02017 | + | 8.02017i | 0.358673 | + | 0.358673i | ||||
\(501\) | −1.48951 | − | 1.48951i | −0.0665465 | − | 0.0665465i | ||||
\(502\) | −1.72073 | − | 0.461067i | −0.0767997 | − | 0.0205784i | ||||
\(503\) | −7.14428 | + | 4.12475i | −0.318548 | + | 0.183914i | −0.650745 | − | 0.759296i | \(-0.725543\pi\) |
0.332197 | + | 0.943210i | \(0.392210\pi\) | |||||||
\(504\) | −0.895632 | + | 2.48955i | −0.0398946 | + | 0.110893i | ||||
\(505\) | −6.33030 | + | 1.69620i | −0.281695 | + | 0.0754799i | ||||
\(506\) | −27.0856 | + | 15.6379i | −1.20410 | + | 0.695190i | ||||
\(507\) | −0.475281 | + | 12.9913i | −0.0211080 | + | 0.576964i | ||||
\(508\) | 7.85602 | − | 13.6070i | 0.348555 | − | 0.603714i | ||||
\(509\) | 24.2138 | + | 24.2138i | 1.07326 | + | 1.07326i | 0.997095 | + | 0.0761637i | \(0.0242672\pi\) |
0.0761637 | + | 0.997095i | \(0.475733\pi\) | |||||||
\(510\) | 2.90560 | + | 1.67755i | 0.128662 | + | 0.0742830i | ||||
\(511\) | 19.9098 | + | 7.16267i | 0.880756 | + | 0.316858i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 1.56523 | + | 5.84150i | 0.0691064 | + | 0.257909i | ||||
\(514\) | 2.75249 | − | 2.75249i | 0.121407 | − | 0.121407i | ||||
\(515\) | 17.2353 | − | 4.61820i | 0.759480 | − | 0.203502i | ||||
\(516\) | 7.53977 | + | 4.35309i | 0.331920 | + | 0.191634i | ||||
\(517\) | −12.2703 | + | 21.2528i | −0.539649 | + | 0.934699i | ||||
\(518\) | 11.4528 | − | 16.4867i | 0.503207 | − | 0.724382i | ||||
\(519\) | − | 4.41458i | − | 0.193779i | ||||||
\(520\) | 4.39073 | + | 2.64318i | 0.192546 | + | 0.115911i | ||||
\(521\) | 18.7607 | + | 10.8315i | 0.821921 | + | 0.474536i | 0.851078 | − | 0.525039i | \(-0.175949\pi\) |
−0.0291576 | + | 0.999575i | \(0.509282\pi\) | |||||||
\(522\) | 0.426435 | + | 0.114263i | 0.0186646 | + | 0.00500115i | ||||
\(523\) | 30.1085i | 1.31655i | 0.752776 | + | 0.658277i | \(0.228714\pi\) | ||||
−0.752776 | + | 0.658277i | \(0.771286\pi\) | |||||||
\(524\) | −6.95051 | − | 12.0386i | −0.303634 | − | 0.525910i | ||||
\(525\) | 4.49761 | − | 6.47446i | 0.196292 | − | 0.282569i | ||||
\(526\) | −3.21064 | − | 0.860288i | −0.139990 | − | 0.0375103i | ||||
\(527\) | 7.53434 | − | 2.01882i | 0.328201 | − | 0.0879412i | ||||
\(528\) | 0.998376 | + | 3.72599i | 0.0434488 | + | 0.162153i | ||||
\(529\) | −42.7387 | −1.85820 | ||||||||
\(530\) | −11.6120 | −0.504391 | ||||||||
\(531\) | 2.17393 | + | 8.11322i | 0.0943406 | + | 0.352084i | ||||
\(532\) | 15.0557 | + | 5.41639i | 0.652748 | + | 0.234830i | ||||
\(533\) | 3.45652 | + | 3.58529i | 0.149719 | + | 0.155296i | ||||
\(534\) | −1.03094 | − | 1.78563i | −0.0446129 | − | 0.0772719i | ||||
\(535\) | −0.211233 | + | 0.788333i | −0.00913240 | + | 0.0340826i | ||||
\(536\) | −0.0197043 | − | 0.0341288i | −0.000851094 | − | 0.00147414i | ||||
\(537\) | −11.3409 | + | 19.6430i | −0.489397 | + | 0.847660i | ||||
\(538\) | 9.25754 | + | 9.25754i | 0.399121 | + | 0.399121i | ||||
\(539\) | −26.8810 | + | 2.55374i | −1.15785 | + | 0.109997i | ||||
\(540\) | 0.367885 | − | 1.37297i | 0.0158313 | − | 0.0590830i | ||||
\(541\) | 0.354527 | − | 1.32311i | 0.0152423 | − | 0.0568850i | −0.957886 | − | 0.287149i | \(-0.907292\pi\) |
0.973128 | + | 0.230264i | \(0.0739591\pi\) | |||||||
\(542\) | 24.2658i | 1.04231i | ||||||||
\(543\) | 4.06927 | − | 2.34940i | 0.174629 | − | 0.100822i | ||||
\(544\) | −1.66907 | + | 1.66907i | −0.0715606 | + | 0.0715606i | ||||
\(545\) | 27.7224 | 1.18750 | ||||||||
\(546\) | 3.39282 | − | 8.91565i | 0.145199 | − | 0.381555i | ||||
\(547\) | 13.2992 | 0.568632 | 0.284316 | − | 0.958731i | \(-0.408233\pi\) | ||||
0.284316 | + | 0.958731i | \(0.408233\pi\) | |||||||
\(548\) | −7.51981 | + | 7.51981i | −0.321231 | + | 0.321231i | ||||
\(549\) | 9.22941 | − | 5.32860i | 0.393902 | − | 0.227419i | ||||
\(550\) | − | 11.4937i | − | 0.490093i | ||||||
\(551\) | 0.691013 | − | 2.57889i | 0.0294381 | − | 0.109865i | ||||
\(552\) | −2.09849 | + | 7.83167i | −0.0893176 | + | 0.333338i | ||||
\(553\) | 32.4074 | + | 2.71366i | 1.37810 | + | 0.115396i | ||||
\(554\) | −21.1590 | − | 21.1590i | −0.898959 | − | 0.898959i | ||||
\(555\) | −5.39233 | + | 9.33980i | −0.228892 | + | 0.396452i | ||||
\(556\) | 2.48970 | + | 4.31229i | 0.105587 | + | 0.182882i | ||||
\(557\) | 4.55371 | − | 16.9947i | 0.192947 | − | 0.720088i | −0.799842 | − | 0.600211i | \(-0.795083\pi\) |
0.992789 | − | 0.119877i | \(-0.0382500\pi\) | |||||||
\(558\) | −1.65228 | − | 2.86183i | −0.0699464 | − | 0.121151i | ||||
\(559\) | −26.8935 | − | 16.1897i | −1.13747 | − | 0.684751i | ||||
\(560\) | −2.42803 | − | 2.87181i | −0.102603 | − | 0.121356i | ||||
\(561\) | −2.35658 | − | 8.79489i | −0.0994951 | − | 0.371321i | ||||
\(562\) | −19.9496 | −0.841521 | ||||||||
\(563\) | −20.7446 | −0.874280 | −0.437140 | − | 0.899394i | \(-0.644009\pi\) | ||||
−0.437140 | + | 0.899394i | \(0.644009\pi\) | |||||||
\(564\) | 1.64659 | + | 6.14515i | 0.0693338 | + | 0.258757i | ||||
\(565\) | −14.5041 | + | 3.88637i | −0.610193 | + | 0.163501i | ||||
\(566\) | −16.1153 | − | 4.31808i | −0.677377 | − | 0.181503i | ||||
\(567\) | −2.63652 | − | 0.220772i | −0.110724 | − | 0.00927153i | ||||
\(568\) | 6.34224 | + | 10.9851i | 0.266114 | + | 0.460924i | ||||
\(569\) | 6.93297i | 0.290645i | 0.989384 | + | 0.145323i | \(0.0464220\pi\) | ||||
−0.989384 | + | 0.145323i | \(0.953578\pi\) | |||||||
\(570\) | −8.30310 | − | 2.22481i | −0.347779 | − | 0.0931870i | ||||
\(571\) | −25.9520 | − | 14.9834i | −1.08606 | − | 0.627035i | −0.153533 | − | 0.988144i | \(-0.549065\pi\) |
−0.932524 | + | 0.361108i | \(0.882398\pi\) | |||||||
\(572\) | −3.35348 | − | 13.4978i | −0.140216 | − | 0.564372i | ||||
\(573\) | − | 23.0096i | − | 0.961239i | ||||||
\(574\) | −1.55676 | − | 3.30626i | −0.0649777 | − | 0.138001i | ||||
\(575\) | 12.0793 | − | 20.9220i | 0.503742 | − | 0.872507i | ||||
\(576\) | 0.866025 | + | 0.500000i | 0.0360844 | + | 0.0208333i | ||||
\(577\) | 24.1396 | − | 6.46820i | 1.00495 | − | 0.269275i | 0.281430 | − | 0.959582i | \(-0.409191\pi\) |
0.723516 | + | 0.690307i | \(0.242525\pi\) | |||||||
\(578\) | −8.08112 | + | 8.08112i | −0.336130 | + | 0.336130i | ||||
\(579\) | −1.13349 | − | 4.23024i | −0.0471062 | − | 0.175803i | ||||
\(580\) | −0.443721 | + | 0.443721i | −0.0184245 | + | 0.0184245i | ||||
\(581\) | 34.5353 | − | 6.22226i | 1.43277 | − | 0.258143i | ||||
\(582\) | 12.1136 | + | 6.99377i | 0.502124 | + | 0.289901i | ||||
\(583\) | 22.2829 | + | 22.2829i | 0.922865 | + | 0.922865i | ||||
\(584\) | 3.99867 | − | 6.92590i | 0.165466 | − | 0.286596i | ||||
\(585\) | −1.41671 | + | 4.92522i | −0.0585739 | + | 0.203633i | ||||
\(586\) | −28.2990 | + | 16.3384i | −1.16902 | + | 0.674934i | ||||
\(587\) | −16.4638 | + | 4.41145i | −0.679532 | + | 0.182080i | −0.582045 | − | 0.813157i | \(-0.697747\pi\) |
−0.0974873 | + | 0.995237i | \(0.531081\pi\) | |||||||
\(588\) | −4.45943 | + | 5.39569i | −0.183904 | + | 0.222514i | ||||
\(589\) | −17.3071 | + | 9.99225i | −0.713126 | + | 0.411724i | ||||
\(590\) | −11.5321 | − | 3.09002i | −0.474770 | − | 0.127214i | ||||
\(591\) | −7.48496 | − | 7.48496i | −0.307890 | − | 0.307890i | ||||
\(592\) | −5.36507 | − | 5.36507i | −0.220503 | − | 0.220503i | ||||
\(593\) | −40.5737 | − | 10.8717i | −1.66616 | − | 0.446447i | −0.702090 | − | 0.712089i | \(-0.747749\pi\) |
−0.964072 | + | 0.265642i | \(0.914416\pi\) | |||||||
\(594\) | −3.34063 | + | 1.92872i | −0.137068 | + | 0.0791361i | ||||
\(595\) | 5.73115 | + | 6.77868i | 0.234954 | + | 0.277899i | ||||
\(596\) | −7.59748 | + | 2.03574i | −0.311205 | + | 0.0833871i | ||||
\(597\) | 8.90867 | − | 5.14342i | 0.364608 | − | 0.210506i | ||||
\(598\) | 8.08121 | − | 28.0944i | 0.330465 | − | 1.14887i | ||||
\(599\) | 11.3993 | − | 19.7442i | 0.465764 | − | 0.806727i | −0.533472 | − | 0.845818i | \(-0.679113\pi\) |
0.999236 | + | 0.0390909i | \(0.0124462\pi\) | |||||||
\(600\) | −2.10691 | − | 2.10691i | −0.0860144 | − | 0.0860144i | ||||
\(601\) | −24.1075 | − | 13.9185i | −0.983364 | − | 0.567745i | −0.0800799 | − | 0.996788i | \(-0.525518\pi\) |
−0.903284 | + | 0.429043i | \(0.858851\pi\) | |||||||
\(602\) | 14.8718 | + | 17.5901i | 0.606131 | + | 0.716918i | ||||
\(603\) | 0.0278660 | − | 0.0278660i | 0.00113479 | − | 0.00113479i | ||||
\(604\) | 3.98554 | + | 14.8742i | 0.162169 | + | 0.605224i | ||||
\(605\) | 3.89948 | − | 3.89948i | 0.158536 | − | 0.158536i | ||||
\(606\) | 4.45357 | − | 1.19333i | 0.180914 | − | 0.0484758i | ||||
\(607\) | −35.8112 | − | 20.6756i | −1.45353 | − | 0.839196i | −0.454850 | − | 0.890568i | \(-0.650307\pi\) |
−0.998680 | + | 0.0513721i | \(0.983641\pi\) | |||||||
\(608\) | 3.02378 | − | 5.23735i | 0.122631 | − | 0.212402i | ||||
\(609\) | 0.959293 | + | 0.666392i | 0.0388725 | + | 0.0270036i | ||||
\(610\) | 15.1481i | 0.613330i | ||||||||
\(611\) | −5.53077 | − | 22.2615i | −0.223751 | − | 0.900603i | ||||
\(612\) | −2.04418 | − | 1.18021i | −0.0826311 | − | 0.0477071i | ||||
\(613\) | 17.4917 | + | 4.68689i | 0.706484 | + | 0.189302i | 0.594133 | − | 0.804367i | \(-0.297495\pi\) |
0.112351 | + | 0.993669i | \(0.464162\pi\) | |||||||
\(614\) | − | 4.69552i | − | 0.189496i | ||||||
\(615\) | 0.981649 | + | 1.70027i | 0.0395839 | + | 0.0685613i | ||||
\(616\) | −0.851611 | + | 10.1702i | −0.0343124 | + | 0.409769i | ||||
\(617\) | 32.3546 | + | 8.66940i | 1.30255 | + | 0.349017i | 0.842413 | − | 0.538832i | \(-0.181134\pi\) |
0.460135 | + | 0.887849i | \(0.347801\pi\) | |||||||
\(618\) | −12.1256 | + | 3.24905i | −0.487764 | + | 0.130696i | ||||
\(619\) | 11.2933 | + | 42.1473i | 0.453917 | + | 1.69404i | 0.691252 | + | 0.722613i | \(0.257059\pi\) |
−0.237335 | + | 0.971428i | \(0.576274\pi\) | |||||||
\(620\) | 4.69709 | 0.188640 | ||||||||
\(621\) | −8.10794 | −0.325360 | ||||||||
\(622\) | −6.89594 | − | 25.7360i | −0.276502 | − | 1.03192i | ||||
\(623\) | −0.967293 | − | 5.36876i | −0.0387538 | − | 0.215095i | ||||
\(624\) | −3.08902 | − | 1.85956i | −0.123660 | − | 0.0744421i | ||||
\(625\) | −0.611855 | − | 1.05976i | −0.0244742 | − | 0.0423906i | ||||
\(626\) | 2.03159 | − | 7.58199i | 0.0811986 | − | 0.303037i | ||||
\(627\) | 11.6640 | + | 20.2027i | 0.465817 | + | 0.806818i | ||||
\(628\) | −5.12831 | + | 8.88249i | −0.204642 | + | 0.354450i | ||||
\(629\) | 12.6638 | + | 12.6638i | 0.504939 | + | 0.504939i | ||||
\(630\) | 2.14554 | − | 3.08857i | 0.0854803 | − | 0.123052i | ||||
\(631\) | −3.74651 | + | 13.9822i | −0.149146 | + | 0.556622i | 0.850389 | + | 0.526154i | \(0.176366\pi\) |
−0.999536 | + | 0.0304680i | \(0.990300\pi\) | |||||||
\(632\) | 3.18133 | − | 11.8729i | 0.126546 | − | 0.472278i | ||||
\(633\) | 11.3372i | 0.450614i | ||||||||
\(634\) | −4.33323 | + | 2.50179i | −0.172095 | + | 0.0993589i | ||||
\(635\) | −15.7919 | + | 15.7919i | −0.626681 | + | 0.626681i | ||||
\(636\) | 8.16938 | 0.323937 | ||||||||
\(637\) | 16.4317 | − | 19.1572i | 0.651048 | − | 0.759036i | ||||
\(638\) | 1.70297 | 0.0674213 | ||||||||
\(639\) | −8.96928 | + | 8.96928i | −0.354819 | + | 0.354819i | ||||
\(640\) | −1.23097 | + | 0.710699i | −0.0486583 | + | 0.0280929i | ||||
\(641\) | 24.2666i | 0.958472i | 0.877686 | + | 0.479236i | \(0.159086\pi\) | ||||
−0.877686 | + | 0.479236i | \(0.840914\pi\) | |||||||
\(642\) | 0.148609 | − | 0.554617i | 0.00586514 | − | 0.0218890i | ||||
\(643\) | 0.634628 | − | 2.36846i | 0.0250273 | − | 0.0934031i | −0.952283 | − | 0.305218i | \(-0.901271\pi\) |
0.977310 | + | 0.211815i | \(0.0679374\pi\) | |||||||
\(644\) | −12.2386 | + | 17.6178i | −0.482267 | + | 0.694240i | ||||
\(645\) | −8.75041 | − | 8.75041i | −0.344547 | − | 0.344547i | ||||
\(646\) | −7.13739 | + | 12.3623i | −0.280817 | + | 0.486389i | ||||
\(647\) | −0.925328 | − | 1.60272i | −0.0363784 | − | 0.0630092i | 0.847263 | − | 0.531174i | \(-0.178249\pi\) |
−0.883641 | + | 0.468164i | \(0.844915\pi\) | |||||||
\(648\) | −0.258819 | + | 0.965926i | −0.0101674 | + | 0.0379452i | ||||
\(649\) | 16.2001 | + | 28.0594i | 0.635909 | + | 1.10143i | ||||
\(650\) | 7.45642 | + | 7.73420i | 0.292465 | + | 0.303360i | ||||
\(651\) | −1.55028 | − | 8.60448i | −0.0607602 | − | 0.337236i | ||||
\(652\) | 0.461062 | + | 1.72071i | 0.0180566 | + | 0.0673881i | ||||
\(653\) | 25.6874 | 1.00522 | 0.502612 | − | 0.864512i | \(-0.332372\pi\) | ||||
0.502612 | + | 0.864512i | \(0.332372\pi\) | |||||||
\(654\) | −19.5036 | −0.762650 | ||||||||
\(655\) | 5.11398 | + | 19.0856i | 0.199820 | + | 0.745737i | ||||
\(656\) | −1.33418 | + | 0.357492i | −0.0520909 | + | 0.0139577i | ||||
\(657\) | 7.72484 | + | 2.06986i | 0.301375 | + | 0.0807531i | ||||
\(658\) | −1.40453 | + | 16.7734i | −0.0547543 | + | 0.653894i | ||||
\(659\) | 20.2039 | + | 34.9941i | 0.787031 | + | 1.36318i | 0.927778 | + | 0.373133i | \(0.121716\pi\) |
−0.140747 | + | 0.990046i | \(0.544950\pi\) | |||||||
\(660\) | − | 5.48295i | − | 0.213423i | ||||||
\(661\) | 8.08720 | + | 2.16696i | 0.314555 | + | 0.0842849i | 0.412643 | − | 0.910893i | \(-0.364606\pi\) |
−0.0980873 | + | 0.995178i | \(0.531272\pi\) | |||||||
\(662\) | −6.04814 | − | 3.49190i | −0.235068 | − | 0.135716i | ||||
\(663\) | 7.29137 | + | 4.38934i | 0.283173 | + | 0.170468i | ||||
\(664\) | − | 13.2633i | − | 0.514716i | ||||||
\(665\) | −18.6784 | − | 12.9753i | −0.724316 | − | 0.503160i | ||||
\(666\) | 3.79368 | − | 6.57085i | 0.147002 | − | 0.254615i | ||||
\(667\) | 3.09992 | + | 1.78974i | 0.120029 | + | 0.0692990i | ||||
\(668\) | −2.03471 | + | 0.545200i | −0.0787254 | + | 0.0210944i | ||||
\(669\) | 3.46514 | − | 3.46514i | 0.133970 | − | 0.133970i | ||||
\(670\) | 0.0144978 | + | 0.0541066i | 0.000560099 | + | 0.00209032i | ||||
\(671\) | 29.0687 | − | 29.0687i | 1.12219 | − | 1.12219i | ||||
\(672\) | 1.70820 | + | 2.02041i | 0.0658951 | + | 0.0779391i | ||||
\(673\) | 0.338909 | + | 0.195669i | 0.0130640 | + | 0.00754250i | 0.506518 | − | 0.862230i | \(-0.330932\pi\) |
−0.493454 | + | 0.869772i | \(0.664266\pi\) | |||||||
\(674\) | 7.93796 | + | 7.93796i | 0.305759 | + | 0.305759i | ||||
\(675\) | 1.48981 | − | 2.58043i | 0.0573429 | − | 0.0993208i | ||||
\(676\) | 11.0132 | + | 6.90726i | 0.423583 | + | 0.265664i | ||||
\(677\) | 22.1437 | − | 12.7847i | 0.851052 | − | 0.491355i | −0.00995355 | − | 0.999950i | \(-0.503168\pi\) |
0.861006 | + | 0.508595i | \(0.169835\pi\) | |||||||
\(678\) | 10.2041 | − | 2.73418i | 0.391887 | − | 0.105006i | ||||
\(679\) | 23.8935 | + | 28.2606i | 0.916947 | + | 1.08454i | ||||
\(680\) | 2.90560 | − | 1.67755i | 0.111425 | − | 0.0643310i | ||||
\(681\) | −7.10428 | − | 1.90358i | −0.272236 | − | 0.0729455i | ||||
\(682\) | −9.01355 | − | 9.01355i | −0.345147 | − | 0.345147i | ||||
\(683\) | 3.89025 | + | 3.89025i | 0.148856 | + | 0.148856i | 0.777607 | − | 0.628751i | \(-0.216433\pi\) |
−0.628751 | + | 0.777607i | \(0.716433\pi\) | |||||||
\(684\) | 5.84150 | + | 1.56523i | 0.223355 | + | 0.0598479i | ||||
\(685\) | 13.0909 | − | 7.55802i | 0.500177 | − | 0.288777i | ||||
\(686\) | −15.9345 | + | 9.43881i | −0.608383 | + | 0.360375i | ||||
\(687\) | 4.83929 | − | 1.29668i | 0.184631 | − | 0.0494716i | ||||
\(688\) | 7.53977 | − | 4.35309i | 0.287451 | − | 0.165960i | ||||
\(689\) | −29.4502 | − | 0.538531i | −1.12196 | − | 0.0205164i | ||||
\(690\) | 5.76231 | − | 9.98061i | 0.219367 | − | 0.379955i | ||||
\(691\) | 19.0641 | + | 19.0641i | 0.725234 | + | 0.725234i | 0.969666 | − | 0.244432i | \(-0.0786016\pi\) |
−0.244432 | + | 0.969666i | \(0.578602\pi\) | |||||||
\(692\) | −3.82314 | − | 2.20729i | −0.145334 | − | 0.0839086i | ||||
\(693\) | −10.0441 | + | 1.80965i | −0.381543 | + | 0.0687429i | ||||
\(694\) | 22.7831 | − | 22.7831i | 0.864836 | − | 0.864836i | ||||
\(695\) | −1.83185 | − | 6.83655i | −0.0694860 | − | 0.259325i | ||||
\(696\) | 0.312172 | − | 0.312172i | 0.0118329 | − | 0.0118329i | ||||
\(697\) | 3.14922 | − | 0.843830i | 0.119285 | − | 0.0319624i | ||||
\(698\) | −0.972741 | − | 0.561612i | −0.0368188 | − | 0.0212573i | ||||
\(699\) | 5.42710 | − | 9.40002i | 0.205272 | − | 0.355541i | ||||
\(700\) | −3.35824 | − | 7.13228i | −0.126930 | − | 0.269575i | ||||
\(701\) | − | 41.8639i | − | 1.58118i | −0.612348 | − | 0.790588i | \(-0.709775\pi\) | ||
0.612348 | − | 0.790588i | \(-0.290225\pi\) | |||||||
\(702\) | 0.996704 | − | 3.46505i | 0.0376182 | − | 0.130780i | ||||
\(703\) | −39.7376 | − | 22.9425i | −1.49873 | − | 0.865294i | ||||
\(704\) | 3.72599 | + | 0.998376i | 0.140429 | + | 0.0376277i | ||||
\(705\) | − | 9.04283i | − | 0.340573i | ||||||
\(706\) | 4.44381 | + | 7.69690i | 0.167245 | + | 0.289677i | ||||
\(707\) | 12.1562 | + | 1.01791i | 0.457180 | + | 0.0382823i | ||||
\(708\) | 8.11322 | + | 2.17393i | 0.304913 | + | 0.0817013i | ||||
\(709\) | −9.73333 | + | 2.60804i | −0.365543 | + | 0.0979469i | −0.436915 | − | 0.899503i | \(-0.643929\pi\) |
0.0713720 | + | 0.997450i | \(0.477262\pi\) | |||||||
\(710\) | −4.66643 | − | 17.4154i | −0.175128 | − | 0.653587i | ||||
\(711\) | 12.2917 | 0.460975 | ||||||||
\(712\) | −2.06187 | −0.0772719 | ||||||||
\(713\) | −6.93457 | − | 25.8802i | −0.259702 | − | 0.969220i | ||||
\(714\) | −4.03205 | − | 4.76902i | −0.150896 | − | 0.178476i | ||||
\(715\) | −0.361439 | + | 19.7657i | −0.0135171 | + | 0.739197i | ||||
\(716\) | 11.3409 | + | 19.6430i | 0.423830 | + | 0.734095i | ||||
\(717\) | 2.31771 | − | 8.64982i | 0.0865565 | − | 0.323033i | ||||
\(718\) | 4.83644 | + | 8.37696i | 0.180494 | + | 0.312626i | ||||
\(719\) | −21.2034 | + | 36.7253i | −0.790753 | + | 1.36962i | 0.134749 | + | 0.990880i | \(0.456977\pi\) |
−0.925501 | + | 0.378744i | \(0.876356\pi\) | |||||||
\(720\) | −1.00508 | − | 1.00508i | −0.0374572 | − | 0.0374572i | ||||
\(721\) | −33.0973 | − | 2.77143i | −1.23261 | − | 0.103213i | ||||
\(722\) | 4.54825 | − | 16.9743i | 0.169268 | − | 0.631717i | ||||
\(723\) | 5.26545 | − | 19.6509i | 0.195824 | − | 0.730825i | ||||
\(724\) | − | 4.69879i | − | 0.174629i | ||||||
\(725\) | −1.13920 | + | 0.657720i | −0.0423090 | + | 0.0244271i | ||||
\(726\) | −2.74341 | + | 2.74341i | −0.101817 | + | 0.101817i | ||||
\(727\) | 16.8790 | 0.626008 | 0.313004 | − | 0.949752i | \(-0.398665\pi\) | ||||
0.313004 | + | 0.949752i | \(0.398665\pi\) | |||||||
\(728\) | −6.02477 | − | 7.39609i | −0.223293 | − | 0.274117i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −8.03797 | + | 8.03797i | −0.297499 | + | 0.297499i | ||||
\(731\) | −17.7970 | + | 10.2751i | −0.658246 | + | 0.380038i | ||||
\(732\) | − | 10.6572i | − | 0.393902i | ||||||
\(733\) | 3.72135 | − | 13.8883i | 0.137451 | − | 0.512975i | −0.862525 | − | 0.506015i | \(-0.831118\pi\) |
0.999976 | − | 0.00695978i | \(-0.00221538\pi\) | |||||||
\(734\) | 6.87801 | − | 25.6691i | 0.253872 | − | 0.947463i | ||||
\(735\) | 8.10764 | − | 5.76754i | 0.299055 | − | 0.212739i | ||||
\(736\) | 5.73318 | + | 5.73318i | 0.211328 | + | 0.211328i | ||||
\(737\) | 0.0760078 | − | 0.131649i | 0.00279978 | − | 0.00484937i | ||||
\(738\) | −0.690622 | − | 1.19619i | −0.0254221 | − | 0.0440324i | ||||
\(739\) | −4.23566 | + | 15.8077i | −0.155811 | + | 0.581496i | 0.843223 | + | 0.537564i | \(0.180655\pi\) |
−0.999035 | + | 0.0439322i | \(0.986011\pi\) | |||||||
\(740\) | 5.39233 | + | 9.33980i | 0.198226 | + | 0.343338i | ||||
\(741\) | −20.9551 | − | 6.02763i | −0.769806 | − | 0.221431i | ||||
\(742\) | 20.3381 | + | 7.31676i | 0.746634 | + | 0.268607i | ||||
\(743\) | −0.834271 | − | 3.11354i | −0.0306064 | − | 0.114225i | 0.948933 | − | 0.315479i | \(-0.102165\pi\) |
−0.979539 | + | 0.201254i | \(0.935498\pi\) | |||||||
\(744\) | −3.30455 | −0.121151 | ||||||||
\(745\) | 11.1800 | 0.409603 | ||||||||
\(746\) | −2.52378 | − | 9.41887i | −0.0924021 | − | 0.344849i | ||||
\(747\) | 12.8114 | − | 3.43279i | 0.468743 | − | 0.125599i | ||||
\(748\) | −8.79489 | − | 2.35658i | −0.321573 | − | 0.0861652i | ||||
\(749\) | 0.866703 | − | 1.24765i | 0.0316686 | − | 0.0455880i | ||||
\(750\) | 5.67112 | + | 9.82266i | 0.207080 | + | 0.358673i | ||||
\(751\) | 21.0279i | 0.767320i | 0.923474 | + | 0.383660i | \(0.125336\pi\) | ||||
−0.923474 | + | 0.383660i | \(0.874664\pi\) | |||||||
\(752\) | 6.14515 | + | 1.64659i | 0.224090 | + | 0.0600448i | ||||
\(753\) | −1.54276 | − | 0.890713i | −0.0562213 | − | 0.0324594i | ||||
\(754\) | −1.14594 | + | 1.10479i | −0.0417328 | + | 0.0402339i | ||||
\(755\) | − | 21.8880i | − | 0.796587i | ||||||
\(756\) | −1.50946 | + | 2.17291i | −0.0548984 | + | 0.0790280i | ||||
\(757\) | 25.1659 | − | 43.5887i | 0.914672 | − | 1.58426i | 0.107290 | − | 0.994228i | \(-0.465783\pi\) |
0.807381 | − | 0.590030i | \(-0.200884\pi\) | |||||||
\(758\) | 23.7177 | + | 13.6934i | 0.861466 | + | 0.497367i | ||||
\(759\) | −30.2101 | + | 8.09478i | −1.09656 | + | 0.293822i | ||||
\(760\) | −6.07829 | + | 6.07829i | −0.220483 | + | 0.220483i | ||||
\(761\) | −4.29477 | − | 16.0283i | −0.155685 | − | 0.581025i | −0.999046 | − | 0.0436767i | \(-0.986093\pi\) |
0.843361 | − | 0.537348i | \(-0.180574\pi\) | |||||||
\(762\) | 11.1101 | − | 11.1101i | 0.402476 | − | 0.402476i | ||||
\(763\) | −48.5551 | − | 17.4680i | −1.75781 | − | 0.632385i | ||||
\(764\) | −19.9269 | − | 11.5048i | −0.720929 | − | 0.416229i | ||||
\(765\) | 2.37241 | + | 2.37241i | 0.0857746 | + | 0.0857746i | ||||
\(766\) | −15.3380 | + | 26.5663i | −0.554186 | + | 0.959878i | ||||
\(767\) | −29.1044 | − | 8.37174i | −1.05090 | − | 0.302286i | ||||
\(768\) | 0.866025 | − | 0.500000i | 0.0312500 | − | 0.0180422i | ||||
\(769\) | −13.0827 | + | 3.50549i | −0.471773 | + | 0.126411i | −0.486869 | − | 0.873475i | \(-0.661861\pi\) |
0.0150963 | + | 0.999886i | \(0.495195\pi\) | |||||||
\(770\) | 4.91070 | − | 13.6501i | 0.176969 | − | 0.491914i | ||||
\(771\) | 3.37109 | − | 1.94630i | 0.121407 | − | 0.0700943i | ||||
\(772\) | −4.23024 | − | 1.13349i | −0.152250 | − | 0.0407952i | ||||
\(773\) | −27.0387 | − | 27.0387i | −0.972515 | − | 0.972515i | 0.0271176 | − | 0.999632i | \(-0.491367\pi\) |
−0.999632 | + | 0.0271176i | \(0.991367\pi\) | |||||||
\(774\) | 6.15620 | + | 6.15620i | 0.221280 | + | 0.221280i | ||||
\(775\) | 9.51082 | + | 2.54842i | 0.341639 | + | 0.0915418i | ||||
\(776\) | 12.1136 | − | 6.99377i | 0.434852 | − | 0.251062i | ||||
\(777\) | 15.3296 | − | 12.9607i | 0.549947 | − | 0.464962i | ||||
\(778\) | −3.28766 | + | 0.880925i | −0.117868 | + | 0.0315827i | ||||
\(779\) | −7.23405 | + | 4.17658i | −0.259187 | + | 0.149642i | ||||
\(780\) | 3.55701 | + | 3.68952i | 0.127361 | + | 0.132106i | ||||
\(781\) | −24.4647 | + | 42.3742i | −0.875418 | + | 1.51627i | ||||
\(782\) | −13.5327 | − | 13.5327i | −0.483928 | − | 0.483928i | ||||
\(783\) | 0.382331 | + | 0.220739i | 0.0136634 | + | 0.00788857i | ||||
\(784\) | 2.44309 | + | 6.55983i | 0.0872531 | + | 0.234280i | ||||
\(785\) | 10.3087 | − | 10.3087i | 0.367934 | − | 0.367934i | ||||
\(786\) | −3.59785 | − | 13.4274i | −0.128331 | − | 0.478938i | ||||
\(787\) | 19.2036 | − | 19.2036i | 0.684534 | − | 0.684534i | −0.276484 | − | 0.961018i | \(-0.589169\pi\) |
0.961018 | + | 0.276484i | \(0.0891694\pi\) | |||||||
\(788\) | −10.2246 | + | 2.73968i | −0.364238 | + | 0.0975972i | ||||
\(789\) | −2.87858 | − | 1.66195i | −0.102480 | − | 0.0591669i | ||||
\(790\) | −8.73571 | + | 15.1307i | −0.310803 | + | 0.538326i | ||||
\(791\) | 27.8524 | + | 2.33225i | 0.990319 | + | 0.0829252i | ||||
\(792\) | 3.85743i | 0.137068i | ||||||||
\(793\) | −0.702529 | + | 38.4187i | −0.0249475 | + | 1.36429i | ||||
\(794\) | −22.1446 | − | 12.7852i | −0.785882 | − | 0.453729i | ||||
\(795\) | −11.2163 | − | 3.00539i | −0.397801 | − | 0.106590i | ||||
\(796\) | − | 10.2868i | − | 0.364608i | ||||||
\(797\) | 8.46109 | + | 14.6550i | 0.299707 | + | 0.519108i | 0.976069 | − | 0.217462i | \(-0.0697777\pi\) |
−0.676362 | + | 0.736570i | \(0.736444\pi\) | |||||||
\(798\) | 13.1408 | + | 9.12854i | 0.465180 | + | 0.323147i | ||||
\(799\) | −14.5051 | − | 3.88663i | −0.513154 | − | 0.137499i | ||||
\(800\) | −2.87810 | + | 0.771184i | −0.101756 | + | 0.0272655i | ||||
\(801\) | −0.533652 | − | 1.99161i | −0.0188557 | − | 0.0703702i | ||||
\(802\) | −2.13926 | −0.0755399 | ||||||||
\(803\) | 30.8492 | 1.08864 | ||||||||
\(804\) | −0.0101997 | − | 0.0380657i | −0.000359715 | − | 0.00134247i | ||||
\(805\) | 23.2845 | − | 19.6863i | 0.820670 | − | 0.693851i | ||||
\(806\) | 11.9127 | + | 0.217838i | 0.419608 | + | 0.00767302i | ||||
\(807\) | 6.54607 | + | 11.3381i | 0.230432 | + | 0.399121i | ||||
\(808\) | 1.19333 | − | 4.45357i | 0.0419812 | − | 0.156676i | ||||
\(809\) | −4.55573 | − | 7.89075i | −0.160171 | − | 0.277424i | 0.774759 | − | 0.632257i | \(-0.217871\pi\) |
−0.934930 | + | 0.354833i | \(0.884538\pi\) | |||||||
\(810\) | 0.710699 | − | 1.23097i | 0.0249714 | − | 0.0432518i | ||||
\(811\) | −0.850909 | − | 0.850909i | −0.0298795 | − | 0.0298795i | 0.692009 | − | 0.721889i | \(-0.256726\pi\) |
−0.721889 | + | 0.692009i | \(0.756726\pi\) | |||||||
\(812\) | 1.05676 | − | 0.497576i | 0.0370849 | − | 0.0174615i | ||||
\(813\) | −6.28045 | + | 23.4390i | −0.220265 | + | 0.822040i | ||||
\(814\) | 7.57504 | − | 28.2704i | 0.265505 | − | 0.990879i | ||||
\(815\) | − | 2.53209i | − | 0.0886952i | ||||||
\(816\) | −2.04418 | + | 1.18021i | −0.0715606 | + | 0.0413156i | ||||
\(817\) | 37.2300 | − | 37.2300i | 1.30251 | − | 1.30251i | ||||
\(818\) | −18.5233 | −0.647652 | ||||||||
\(819\) | 5.58475 | − | 7.73373i | 0.195147 | − | 0.270238i | ||||
\(820\) | 1.96330 | 0.0685613 | ||||||||
\(821\) | 31.4951 | − | 31.4951i | 1.09919 | − | 1.09919i | 0.104679 | − | 0.994506i | \(-0.466618\pi\) |
0.994506 | − | 0.104679i | \(-0.0333816\pi\) | |||||||
\(822\) | −9.20985 | + | 5.31731i | −0.321231 | + | 0.185463i | ||||
\(823\) | − | 51.5547i | − | 1.79708i | −0.438887 | − | 0.898542i | \(-0.644627\pi\) | ||
0.438887 | − | 0.898542i | \(-0.355373\pi\) | |||||||
\(824\) | −3.24905 | + | 12.1256i | −0.113186 | + | 0.422416i | ||||
\(825\) | 2.97479 | − | 11.1021i | 0.103569 | − | 0.386524i | ||||
\(826\) | 18.2512 | + | 12.6786i | 0.635041 | + | 0.441144i | ||||
\(827\) | −11.5383 | − | 11.5383i | −0.401227 | − | 0.401227i | 0.477439 | − | 0.878665i | \(-0.341565\pi\) |
−0.878665 | + | 0.477439i | \(0.841565\pi\) | |||||||
\(828\) | −4.05397 | + | 7.02168i | −0.140885 | + | 0.244020i | ||||
\(829\) | −6.52441 | − | 11.3006i | −0.226602 | − | 0.392487i | 0.730197 | − | 0.683237i | \(-0.239428\pi\) |
−0.956799 | + | 0.290750i | \(0.906095\pi\) | |||||||
\(830\) | −4.87937 | + | 18.2101i | −0.169365 | + | 0.632080i | ||||
\(831\) | −14.9617 | − | 25.9144i | −0.519014 | − | 0.898959i | ||||
\(832\) | −3.15494 | + | 1.74539i | −0.109378 | + | 0.0605104i | ||||
\(833\) | −5.76670 | − | 15.4839i | −0.199804 | − | 0.536486i | ||||
\(834\) | 1.28877 | + | 4.80974i | 0.0446263 | + | 0.166548i | ||||
\(835\) | 2.99416 | 0.103617 | ||||||||
\(836\) | 23.3281 | 0.806818 | ||||||||
\(837\) | −0.855281 | − | 3.19195i | −0.0295628 | − | 0.110330i | ||||
\(838\) | 31.7588 | − | 8.50973i | 1.09709 | − | 0.293964i | ||||
\(839\) | 4.77327 | + | 1.27899i | 0.164792 | + | 0.0441558i | 0.340272 | − | 0.940327i | \(-0.389481\pi\) |
−0.175480 | + | 0.984483i | \(0.556148\pi\) | |||||||
\(840\) | −1.60201 | − | 3.40238i | −0.0552747 | − | 0.117393i | ||||
\(841\) | 14.4025 | + | 24.9459i | 0.496640 | + | 0.860205i | ||||
\(842\) | − | 15.7343i | − | 0.542238i | ||||||
\(843\) | −19.2698 | − | 5.16333i | −0.663687 | − | 0.177834i | ||||
\(844\) | 9.81832 | + | 5.66861i | 0.337961 | + | 0.195122i | ||||
\(845\) | −12.5796 | − | 13.5350i | −0.432752 | − | 0.465619i | ||||
\(846\) | 6.36192i | 0.218727i | ||||||||
\(847\) | −9.28693 | + | 4.37276i | −0.319103 | + | 0.150250i | ||||
\(848\) | 4.08469 | − | 7.07489i | 0.140269 | − | 0.242953i | ||||
\(849\) | −14.4486 | − | 8.34190i | −0.495874 | − | 0.286293i | ||||
\(850\) | 6.79351 | − | 1.82031i | 0.233015 | − | 0.0624363i | ||||
\(851\) | 43.4997 | − | 43.4997i | 1.49115 | − | 1.49115i | ||||
\(852\) | 3.28299 | + | 12.2523i | 0.112473 | + | 0.419756i | ||||
\(853\) | 27.1995 | − | 27.1995i | 0.931292 | − | 0.931292i | −0.0664946 | − | 0.997787i | \(-0.521182\pi\) |
0.997787 | + | 0.0664946i | \(0.0211815\pi\) | |||||||
\(854\) | 9.54493 | − | 26.5316i | 0.326621 | − | 0.907893i | ||||
\(855\) | −7.44436 | − | 4.29800i | −0.254592 | − | 0.146989i | ||||
\(856\) | −0.406008 | − | 0.406008i | −0.0138771 | − | 0.0138771i | ||||
\(857\) | −2.53008 | + | 4.38222i | −0.0864258 | + | 0.149694i | −0.905998 | − | 0.423282i | \(-0.860878\pi\) |
0.819572 | + | 0.572976i | \(0.194211\pi\) | |||||||
\(858\) | 0.254284 | − | 13.9058i | 0.00868112 | − | 0.474737i | ||||
\(859\) | −47.6367 | + | 27.5031i | −1.62534 | + | 0.938393i | −0.639887 | + | 0.768469i | \(0.721019\pi\) |
−0.985457 | + | 0.169924i | \(0.945648\pi\) | |||||||
\(860\) | −11.9533 | + | 3.20287i | −0.407604 | + | 0.109217i | ||||
\(861\) | −0.647988 | − | 3.59652i | −0.0220834 | − | 0.122569i | ||||
\(862\) | 10.2922 | − | 5.94221i | 0.350554 | − | 0.202392i | ||||
\(863\) | −2.73644 | − | 0.733228i | −0.0931496 | − | 0.0249594i | 0.211943 | − | 0.977282i | \(-0.432021\pi\) |
−0.305093 | + | 0.952323i | \(0.598687\pi\) | |||||||
\(864\) | 0.707107 | + | 0.707107i | 0.0240563 | + | 0.0240563i | ||||
\(865\) | 4.43701 | + | 4.43701i | 0.150863 | + | 0.150863i | ||||
\(866\) | 3.35167 | + | 0.898077i | 0.113894 | + | 0.0305179i | ||||
\(867\) | −9.89731 | + | 5.71422i | −0.336130 | + | 0.194065i | ||||
\(868\) | −8.22684 | − | 2.95966i | −0.279237 | − | 0.100457i | ||||
\(869\) | 45.7988 | − | 12.2717i | 1.55362 | − | 0.416291i | ||||
\(870\) | −0.543445 | + | 0.313758i | −0.0184245 | + | 0.0106374i | ||||
\(871\) | 0.0342600 | + | 0.137897i | 0.00116086 | + | 0.00467247i | ||||
\(872\) | −9.75179 | + | 16.8906i | −0.330237 | + | 0.571988i | ||||
\(873\) | 9.89069 | + | 9.89069i | 0.334749 | + | 0.334749i | ||||
\(874\) | 42.4641 | + | 24.5167i | 1.43637 | + | 0.829288i | ||||
\(875\) | 5.32102 | + | 29.5332i | 0.179883 | + | 0.998404i | ||||
\(876\) | 5.65497 | − | 5.65497i | 0.191064 | − | 0.191064i | ||||
\(877\) | 0.135105 | + | 0.504219i | 0.00456218 | + | 0.0170263i | 0.968169 | − | 0.250296i | \(-0.0805279\pi\) |
−0.963607 | + | 0.267322i | \(0.913861\pi\) | |||||||
\(878\) | −11.9450 | + | 11.9450i | −0.403125 | + | 0.403125i | ||||
\(879\) | −31.5634 | + | 8.45739i | −1.06461 | + | 0.285261i | ||||
\(880\) | −4.74837 | − | 2.74147i | −0.160068 | − | 0.0924151i | ||||
\(881\) | −8.60734 | + | 14.9083i | −0.289989 | + | 0.502275i | −0.973807 | − | 0.227378i | \(-0.926985\pi\) |
0.683818 | + | 0.729653i | \(0.260318\pi\) | |||||||
\(882\) | −5.70399 | + | 4.05765i | −0.192063 | + | 0.136628i | ||||
\(883\) | 2.32270i | 0.0781651i | 0.999236 | + | 0.0390825i | \(0.0124435\pi\) | ||||
−0.999236 | + | 0.0390825i | \(0.987556\pi\) | |||||||
\(884\) | 7.44697 | − | 4.11984i | 0.250469 | − | 0.138565i | ||||
\(885\) | −10.3394 | − | 5.96947i | −0.347556 | − | 0.200661i | ||||
\(886\) | 0.209438 | + | 0.0561187i | 0.00703621 | + | 0.00188535i | ||||
\(887\) | 17.4348i | 0.585402i | 0.956204 | + | 0.292701i | \(0.0945541\pi\) | ||||
−0.956204 | + | 0.292701i | \(0.905446\pi\) | |||||||
\(888\) | −3.79368 | − | 6.57085i | −0.127308 | − | 0.220503i | ||||
\(889\) | 37.6096 | − | 17.7085i | 1.26139 | − | 0.593925i | ||||
\(890\) | 2.83088 | + | 0.758532i | 0.0948913 | + | 0.0254260i | ||||
\(891\) | −3.72599 | + | 0.998376i | −0.124825 | + | 0.0334469i | ||||
\(892\) | −1.26833 | − | 4.73346i | −0.0424668 | − | 0.158488i | ||||
\(893\) | 38.4742 | 1.28749 | ||||||||
\(894\) | −7.86549 | −0.263061 | ||||||||
\(895\) | −8.34431 | − | 31.1414i | −0.278919 | − | 1.04094i | ||||
\(896\) | 2.60383 | − | 0.469134i | 0.0869877 | − | 0.0156727i | ||||
\(897\) | 15.0772 | − | 25.0456i | 0.503414 | − | 0.836247i | ||||
\(898\) | −4.00986 | − | 6.94528i | −0.133811 | − | 0.231767i | ||||
\(899\) | −0.377588 | + | 1.40918i | −0.0125933 | + | 0.0469987i | ||||
\(900\) | −1.48981 | − | 2.58043i | −0.0496604 | − | 0.0860144i | ||||
\(901\) | −9.64157 | + | 16.6997i | −0.321207 | + | 0.556347i | ||||
\(902\) | −3.76750 | − | 3.76750i | −0.125444 | − | 0.125444i | ||||
\(903\) | 9.81245 | + | 20.8398i | 0.326538 | + | 0.693506i | ||||
\(904\) | 2.73418 | − | 10.2041i | 0.0909376 | − | 0.339384i | ||||
\(905\) | −1.72862 | + | 6.45128i | −0.0574611 | + | 0.214448i | ||||
\(906\) | 15.3989i | 0.511595i | ||||||||
\(907\) | −22.7524 | + | 13.1361i | −0.755481 | + | 0.436177i | −0.827671 | − | 0.561214i | \(-0.810335\pi\) |
0.0721897 | + | 0.997391i | \(0.477001\pi\) | |||||||
\(908\) | −5.20069 | + | 5.20069i | −0.172591 | + | 0.172591i | ||||
\(909\) | 4.61068 | 0.152927 | ||||||||
\(910\) | 5.55089 | + | 12.3710i | 0.184010 | + | 0.410095i | ||||
\(911\) | 16.3508 | 0.541727 | 0.270863 | − | 0.962618i | \(-0.412691\pi\) | ||||
0.270863 | + | 0.962618i | \(0.412691\pi\) | |||||||
\(912\) | 4.27628 | − | 4.27628i | 0.141602 | − | 0.141602i | ||||
\(913\) | 44.3078 | − | 25.5811i | 1.46637 | − | 0.846611i | ||||
\(914\) | − | 31.1267i | − | 1.02958i | ||||||
\(915\) | −3.92063 | + | 14.6320i | −0.129612 | + | 0.483718i | ||||
\(916\) | 1.29668 | − | 4.83929i | 0.0428437 | − | 0.159895i | ||||
\(917\) | 3.06895 | − | 36.6504i | 0.101346 | − | 1.21030i | ||||
\(918\) | −1.66907 | − | 1.66907i | −0.0550874 | − | 0.0550874i | ||||
\(919\) | 16.3833 | − | 28.3767i | 0.540435 | − | 0.936061i | −0.458444 | − | 0.888723i | \(-0.651593\pi\) |
0.998879 | − | 0.0473375i | \(-0.0150736\pi\) | |||||||
\(920\) | −5.76231 | − | 9.98061i | −0.189978 | − | 0.329051i | ||||
\(921\) | 1.21529 | − | 4.53552i | 0.0400451 | − | 0.149450i | ||||
\(922\) | 19.7084 | + | 34.1360i | 0.649062 | + | 1.12421i | ||||
\(923\) | −11.0273 | − | 44.3852i | −0.362969 | − | 1.46096i | ||||
\(924\) | −3.45484 | + | 9.60325i | −0.113656 | + | 0.315924i | ||||
\(925\) | 5.85125 | + | 21.8372i | 0.192388 | + | 0.718001i | ||||
\(926\) | 8.67112 | 0.284951 | ||||||||
\(927\) | −12.5534 | −0.412307 | ||||||||
\(928\) | −0.114263 | − | 0.426435i | −0.00375086 | − | 0.0139984i | ||||
\(929\) | 0.281735 | − | 0.0754906i | 0.00924342 | − | 0.00247677i | −0.254194 | − | 0.967153i | \(-0.581810\pi\) |
0.263438 | + | 0.964676i | \(0.415144\pi\) | |||||||
\(930\) | 4.53704 | + | 1.21570i | 0.148775 | + | 0.0398642i | ||||
\(931\) | 24.5389 | + | 34.4953i | 0.804230 | + | 1.13054i | ||||
\(932\) | −5.42710 | − | 9.40002i | −0.177771 | − | 0.307908i | ||||
\(933\) | − | 26.6439i | − | 0.872281i | ||||||
\(934\) | −12.5983 | − | 3.37570i | −0.412228 | − | 0.110456i | ||||
\(935\) | 11.2081 | + | 6.47102i | 0.366545 | + | 0.211625i | ||||
\(936\) | −2.50247 | − | 2.59570i | −0.0817958 | − | 0.0848430i | ||||
\(937\) | − | 6.39250i | − | 0.208834i | −0.994534 | − | 0.104417i | \(-0.966702\pi\) | ||
0.994534 | − | 0.104417i | \(-0.0332976\pi\) | |||||||
\(938\) | 0.00870028 | − | 0.103902i | 0.000284074 | − | 0.00339251i | ||||
\(939\) | 3.92473 | − | 6.79782i | 0.128079 | − | 0.221839i | ||||
\(940\) | −7.83132 | − | 4.52142i | −0.255430 | − | 0.147472i | ||||
\(941\) | −23.4153 | + | 6.27411i | −0.763317 | + | 0.204530i | −0.619417 | − | 0.785062i | \(-0.712631\pi\) |
−0.143900 | + | 0.989592i | \(0.545964\pi\) | |||||||
\(942\) | −7.25252 | + | 7.25252i | −0.236300 | + | 0.236300i | ||||
\(943\) | −2.89852 | − | 10.8174i | −0.0943889 | − | 0.352264i | ||||
\(944\) | 5.93929 | − | 5.93929i | 0.193307 | − | 0.193307i | ||||
\(945\) | 2.87181 | − | 2.42803i | 0.0934201 | − | 0.0789837i | ||||
\(946\) | 29.0841 | + | 16.7917i | 0.945607 | + | 0.545946i | ||||
\(947\) | −40.3919 | − | 40.3919i | −1.31256 | − | 1.31256i | −0.919521 | − | 0.393041i | \(-0.871423\pi\) |
−0.393041 | − | 0.919521i | \(-0.628577\pi\) | |||||||
\(948\) | 6.14585 | − | 10.6449i | 0.199608 | − | 0.345731i | ||||
\(949\) | −20.7587 | + | 20.0131i | −0.673855 | + | 0.649653i | ||||
\(950\) | −15.6053 | + | 9.00974i | −0.506304 | + | 0.292315i | ||||
\(951\) | −4.83309 | + | 1.29502i | −0.156724 | + | 0.0419940i | ||||
\(952\) | −6.14612 | + | 1.10735i | −0.199197 | + | 0.0358895i | ||||
\(953\) | −29.1590 | + | 16.8350i | −0.944553 | + | 0.545338i | −0.891385 | − | 0.453247i | \(-0.850265\pi\) |
−0.0531686 | + | 0.998586i | \(0.516932\pi\) | |||||||
\(954\) | 7.89102 | + | 2.11439i | 0.255481 | + | 0.0684560i | ||||
\(955\) | 23.1265 | + | 23.1265i | 0.748356 | + | 0.748356i | ||||
\(956\) | −6.33211 | − | 6.33211i | −0.204795 | − | 0.204795i | ||||
\(957\) | 1.64494 | + | 0.440761i | 0.0531735 | + | 0.0142478i | ||||
\(958\) | −30.2791 | + | 17.4817i | −0.978274 | + | 0.564807i | ||||
\(959\) | −27.6907 | + | 4.98906i | −0.894180 | + | 0.161105i | ||||
\(960\) | −1.37297 | + | 0.367885i | −0.0443123 | + | 0.0118734i | ||||
\(961\) | −17.3897 | + | 10.0400i | −0.560959 | + | 0.323870i | ||||
\(962\) | 13.2429 | + | 23.9377i | 0.426967 | + | 0.771781i | ||||
\(963\) | 0.287091 | − | 0.497256i | 0.00925138 | − | 0.0160239i | ||||
\(964\) | −14.3855 | − | 14.3855i | −0.463325 | − | 0.463325i | ||||
\(965\) | 5.39098 | + | 3.11249i | 0.173542 | + | 0.100194i | ||||
\(966\) | −16.3814 | + | 13.8499i | −0.527063 | + | 0.445615i | ||||
\(967\) | −6.11427 | + | 6.11427i | −0.196622 | + | 0.196622i | −0.798550 | − | 0.601928i | \(-0.794399\pi\) |
0.601928 | + | 0.798550i | \(0.294399\pi\) | |||||||
\(968\) | 1.00416 | + | 3.74757i | 0.0322749 | + | 0.120451i | ||||
\(969\) | −10.0938 | + | 10.0938i | −0.324259 | + | 0.324259i | ||||
\(970\) | −19.2044 | + | 5.14581i | −0.616617 | + | 0.165222i | ||||
\(971\) | −27.8426 | − | 16.0750i | −0.893513 | − | 0.515870i | −0.0184231 | − | 0.999830i | \(-0.505865\pi\) |
−0.875090 | + | 0.483960i | \(0.839198\pi\) | |||||||
\(972\) | −0.500000 | + | 0.866025i | −0.0160375 | + | 0.0277778i | ||||
\(973\) | −1.09931 | + | 13.1283i | −0.0352423 | + | 0.420875i | ||||
\(974\) | 33.0137i | 1.05783i | ||||||||
\(975\) | 5.20059 | + | 9.40053i | 0.166552 | + | 0.301058i | ||||
\(976\) | −9.22941 | − | 5.32860i | −0.295426 | − | 0.170564i | ||||
\(977\) | −1.63311 | − | 0.437589i | −0.0522477 | − | 0.0139997i | 0.232601 | − | 0.972572i | \(-0.425277\pi\) |
−0.284848 | + | 0.958573i | \(0.591943\pi\) | |||||||
\(978\) | 1.78141i | 0.0569631i | ||||||||
\(979\) | −3.97676 | − | 6.88795i | −0.127098 | − | 0.220140i | ||||
\(980\) | −0.941011 | − | 9.90519i | −0.0300595 | − | 0.316410i | ||||
\(981\) | −18.8390 | − | 5.04790i | −0.601483 | − | 0.161167i | ||||
\(982\) | 40.2196 | − | 10.7768i | 1.28346 | − | 0.343901i | ||||
\(983\) | −4.75086 | − | 17.7305i | −0.151529 | − | 0.565514i | −0.999378 | − | 0.0352757i | \(-0.988769\pi\) |
0.847849 | − | 0.530238i | \(-0.177898\pi\) | |||||||
\(984\) | −1.38124 | −0.0440324 | ||||||||
\(985\) | 15.0460 | 0.479405 | ||||||||
\(986\) | 0.269708 | + | 1.00656i | 0.00858926 | + | 0.0320555i | ||||
\(987\) | −5.69794 | + | 15.8383i | −0.181367 | + | 0.504139i | ||||
\(988\) | −15.6976 | + | 15.1339i | −0.499409 | + | 0.481472i | ||||
\(989\) | 35.2946 | + | 61.1320i | 1.12230 | + | 1.94388i | ||||
\(990\) | 1.41909 | − | 5.29612i | 0.0451017 | − | 0.168322i | ||||
\(991\) | −2.21869 | − | 3.84289i | −0.0704791 | − | 0.122073i | 0.828632 | − | 0.559793i | \(-0.189119\pi\) |
−0.899111 | + | 0.437720i | \(0.855786\pi\) | |||||||
\(992\) | −1.65228 | + | 2.86183i | −0.0524598 | + | 0.0908631i | ||||
\(993\) | −4.93829 | − | 4.93829i | −0.156712 | − | 0.156712i | ||||
\(994\) | −2.80037 | + | 33.4429i | −0.0888224 | + | 1.06075i | ||||
\(995\) | −3.78438 | + | 14.1235i | −0.119973 | + | 0.447745i | ||||
\(996\) | 3.43279 | − | 12.8114i | 0.108772 | − | 0.405943i | ||||
\(997\) | − | 35.8562i | − | 1.13558i | −0.823175 | − | 0.567788i | \(-0.807799\pi\) | ||
0.823175 | − | 0.567788i | \(-0.192201\pi\) | |||||||
\(998\) | −5.88632 | + | 3.39847i | −0.186328 | + | 0.107577i | ||||
\(999\) | 5.36507 | − | 5.36507i | 0.169743 | − | 0.169743i |
(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 | 546.2.cg.b.409.7 | yes | 40 | |
7.5 | odd | 6 | 546.2.by.b.19.2 | ✓ | 40 | ||
13.11 | odd | 12 | 546.2.by.b.115.2 | yes | 40 | ||
91.89 | even | 12 | inner | 546.2.cg.b.271.7 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.19.2 | ✓ | 40 | 7.5 | odd | 6 | ||
546.2.by.b.115.2 | yes | 40 | 13.11 | odd | 12 | ||
546.2.cg.b.271.7 | yes | 40 | 91.89 | even | 12 | inner | |
546.2.cg.b.409.7 | yes | 40 | 1.1 | even | 1 | trivial |