Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [152,4,Mod(75,152)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(152, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("152.75");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 152.b (of order , degree , 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: | |
Analytic rank: | |
Dimension: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 75.52 | ||
Character | 152.75 | ||
Dual form | 152.4.b.b.75.51 |
-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 on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
2.66988 | + | 0.933662i | 0.943946 | + | 0.330099i | |||||
0.255308i | 0.0491340i | 0.999698 | + | 0.0245670i | ||||||
−0.999698 | + | 0.0245670i | ||||||||
6.25655 | + | 4.98554i | 0.782069 | + | 0.623192i | |||||
− | 11.8859i | − | 1.06310i | −0.847026 | − | 0.531552i | ||||
0.847026 | − | 0.531552i | ||||||||
−0.238371 | + | 0.681642i | −0.0162191 | + | 0.0463799i | |||||
31.1204i | 1.68034i | 0.542320 | + | 0.840172i | ||||||
−0.542320 | + | 0.840172i | ||||||||
12.0494 | + | 19.1523i | 0.532515 | + | 0.846420i | |||||
26.9348 | 0.997586 | |||||||||
11.0974 | − | 31.7339i | 0.350930 | − | 1.00351i | |||||
−21.9564 | −0.601827 | −0.300913 | − | 0.953652i | ||||||
−0.300913 | + | 0.953652i | ||||||||
−1.27285 | + | 1.59735i | −0.0306199 | + | 0.0384262i | |||||
38.7293 | 0.826276 | 0.413138 | − | 0.910669i | ||||||
0.413138 | + | 0.910669i | ||||||||
−29.0559 | + | 83.0878i | −0.554681 | + | 1.58615i | |||||
3.03456 | 0.0522346 | |||||||||
14.2888 | + | 62.3845i | 0.223263 | + | 0.974758i | |||||
101.750 | 1.45164 | 0.725821 | − | 0.687883i | ||||||
0.725821 | + | 0.687883i | ||||||||
71.9128 | + | 25.1480i | 0.941667 | + | 0.329303i | |||||
−20.2224 | − | 80.3122i | −0.244175 | − | 0.969731i | |||||
59.2574 | − | 74.3645i | 0.662518 | − | 0.831421i | |||||
−7.94528 | −0.0825620 | |||||||||
−58.6209 | − | 20.4998i | −0.568092 | − | 0.198663i | |||||
57.3504i | 0.519929i | 0.965618 | + | 0.259965i | ||||||
−0.965618 | + | 0.259965i | ||||||||
−4.88973 | + | 3.07632i | −0.0415880 | + | 0.0261646i | |||||
−16.2739 | −0.130191 | |||||||||
103.403 | + | 36.1601i | 0.779960 | + | 0.272753i | |||||
13.7700i | 0.0981494i | |||||||||
−155.152 | + | 194.706i | −1.04718 | + | 1.31414i | |||||
−206.088 | −1.31964 | −0.659819 | − | 0.751424i | ||||||
−0.659819 | + | 0.751424i | ||||||||
8.10191 | + | 2.83325i | 0.0493066 | + | 0.0172426i | |||||
−312.889 | −1.81279 | −0.906395 | − | 0.422431i | ||||||
−0.906395 | + | 0.422431i | ||||||||
−20.0965 | + | 179.900i | −0.111019 | + | 0.993818i | |||||
− | 5.60563i | − | 0.0295702i | |||||||
271.660 | + | 94.9998i | 1.37027 | + | 0.479186i | |||||
369.893 | 1.78638 | |||||||||
168.519 | + | 134.285i | 0.780181 | + | 0.621688i | |||||
−156.076 | −0.693481 | −0.346741 | − | 0.937961i | ||||||
−0.346741 | + | 0.937961i | ||||||||
20.9931 | − | 233.305i | 0.0896192 | − | 0.995976i | |||||
9.88790i | 0.0405982i | |||||||||
227.642 | − | 143.218i | 0.899833 | − | 0.566120i | |||||
− | 399.236i | − | 1.52074i | −0.649493 | − | 0.760368i | ||||
0.649493 | − | 0.760368i | ||||||||
−21.2130 | − | 7.41821i | −0.0779341 | − | 0.0272537i | |||||
96.2576 | 0.341375 | 0.170688 | − | 0.985325i | ||||||
0.170688 | + | 0.985325i | ||||||||
−137.371 | − | 109.464i | −0.470670 | − | 0.375054i | |||||
− | 320.144i | − | 1.06054i | |||||||
−53.5459 | + | 153.119i | −0.171628 | + | 0.490785i | |||||
− | 209.396i | − | 0.649863i | −0.945737 | − | 0.324932i | ||||
0.945737 | − | 0.324932i | ||||||||
−15.9273 | + | 3.64805i | −0.0478938 | + | 0.0109698i | |||||
−625.479 | −1.82356 | |||||||||
−43.4493 | − | 15.1943i | −0.122893 | − | 0.0429759i | |||||
25.9775i | 0.0713250i | |||||||||
242.312 | + | 193.086i | 0.646204 | + | 0.514928i | |||||
455.858 | 1.18145 | 0.590725 | − | 0.806873i | ||||||
0.590725 | + | 0.806873i | ||||||||
−12.8565 | + | 36.7642i | −0.0323991 | + | 0.0926478i | |||||
260.970i | 0.639804i | |||||||||
−596.027 | + | 374.984i | −1.42228 | + | 0.894809i | |||||
20.5043 | − | 5.16293i | 0.0476468 | − | 0.0119973i | |||||
−550.230 | − | 192.416i | −1.24567 | − | 0.435612i | |||||
− | 451.215i | − | 0.995647i | −0.867279 | − | 0.497823i | ||||
0.867279 | − | 0.497823i | ||||||||
18.9858 | + | 15.1289i | 0.0408510 | + | 0.0325522i | |||||
− | 385.501i | − | 0.809154i | −0.914504 | − | 0.404577i | ||||
0.914504 | − | 0.404577i | ||||||||
−835.377 | − | 292.132i | −1.71118 | − | 0.598401i | |||||
838.222i | 1.67629i | |||||||||
−221.622 | + | 461.549i | −0.432855 | + | 0.901464i | |||||
− | 460.332i | − | 0.878417i | |||||||
5.23377 | − | 14.9664i | 0.00976109 | − | 0.0279126i | |||||
− | 261.804i | − | 0.477380i | −0.971096 | − | 0.238690i | ||||
0.971096 | − | 0.238690i | ||||||||
636.602 | + | 507.277i | 1.13528 | + | 0.904652i | |||||
−14.6420 | −0.0255462 | |||||||||
987.571 | + | 345.355i | 1.68625 | + | 0.589683i | |||||
546.989 | 0.914306 | 0.457153 | − | 0.889388i | ||||||
0.457153 | + | 0.889388i | ||||||||
324.550 | + | 515.864i | 0.531230 | + | 0.844377i | |||||
−443.977 | −0.711830 | −0.355915 | − | 0.934518i | ||||||
−0.355915 | + | 0.934518i | ||||||||
−416.706 | − | 145.723i | −0.654609 | − | 0.228918i | |||||
− | 4.15485i | − | 0.00639680i | |||||||
273.877 | − | 603.297i | 0.413367 | − | 0.910565i | |||||
− | 683.291i | − | 1.01128i | |||||||
−9.23196 | + | 26.3995i | −0.0134015 | + | 0.0383226i | |||||
−950.449 | −1.35359 | −0.676797 | − | 0.736170i | ||||||
−0.676797 | + | 0.736170i | ||||||||
741.494 | − | 169.835i | 1.03627 | − | 0.237352i | |||||
723.724 | 0.992763 | |||||||||
372.751 | − | 1065.91i | 0.501994 | − | 1.43549i | |||||
−537.548 | −0.710886 | −0.355443 | − | 0.934698i | ||||||
−0.355443 | + | 0.934698i | ||||||||
−49.7101 | − | 39.6115i | −0.0645692 | − | 0.0514520i | |||||
− | 1209.38i | − | 1.54325i | |||||||
256.997 | + | 89.8721i | 0.322240 | + | 0.112688i | |||||
− | 52.6158i | − | 0.0648391i | |||||||
−264.562 | − | 420.515i | −0.320482 | − | 0.509398i | |||||
1404.85i | 1.67319i | 0.547822 | + | 0.836595i | ||||||
−0.547822 | + | 0.836595i | ||||||||
298.906 | − | 854.746i | 0.350083 | − | 1.00109i | |||||
1205.27i | 1.38843i | |||||||||
−285.922 | + | 358.815i | −0.324016 | + | 0.406621i | |||||
− | 79.8830i | − | 0.0890697i | |||||||
195.505 | − | 559.063i | 0.214520 | − | 0.613436i | |||||
−954.581 | + | 240.361i | −1.03093 | + | 0.259584i | |||||
−45.9300 | − | 5.13081i | −0.0488303 | − | 0.00545480i | |||||
− | 398.059i | − | 0.416668i | −0.978058 | − | 0.208334i | ||||
0.978058 | − | 0.208334i | ||||||||
−1669.96 | − | 583.987i | −1.72134 | − | 0.601955i | |||||
−591.391 | −0.600374 | |||||||||
−101.818 | − | 81.1340i | −0.101818 | − | 0.0811340i | |||||
1111.11i | 1.09464i | 0.836922 | + | 0.547322i | ||||||
−0.836922 | + | 0.547322i | ||||||||
−24.2542 | + | 69.3569i | −0.0235444 | + | 0.0673270i | |||||
998.893 | 0.955571 | 0.477786 | − | 0.878477i | ||||||
0.477786 | + | 0.878477i | ||||||||
466.667 | + | 741.756i | 0.440004 | + | 0.699376i | |||||
94.4366i | 0.0877721i | |||||||||
1217.09 | + | 425.617i | 1.11523 | + | 0.389996i | |||||
− | 82.6255i | − | 0.0746515i | −0.999303 | − | 0.0373257i | ||||
0.999303 | − | 0.0373257i | ||||||||
−68.6508 | + | 86.1526i | −0.0611659 | + | 0.0767596i | |||||
−836.605 | −0.735158 | −0.367579 | − | 0.929992i | ||||||
−0.367579 | + | 0.929992i | ||||||||
−243.658 | + | 696.761i | −0.211199 | + | 0.603941i | |||||
− | 39.8475i | − | 0.0340735i | |||||||
−1941.43 | + | 444.674i | −1.63793 | + | 0.375159i | |||||
− | 580.927i | − | 0.483620i | −0.970324 | − | 0.241810i | ||||
0.970324 | − | 0.241810i | ||||||||
59.5646 | + | 5.35970i | 0.0489363 | + | 0.00440335i | |||||
681.659 | 0.552739 | |||||||||
−1289.40 | − | 1027.46i | −1.03205 | − | 0.822388i | |||||
1043.17 | 0.824281 | |||||||||
421.282 | − | 1204.69i | 0.328662 | − | 0.939837i | |||||
3166.49i | 2.43926i | |||||||||
36.5647 | + | 58.1187i | 0.0278157 | + | 0.0442124i | |||||
−848.918 | −0.637805 | |||||||||
359.928 | − | 1029.24i | 0.267101 | − | 0.763798i | |||||
101.928 | 0.0747199 | |||||||||
−1957.60 | − | 1559.92i | −1.41773 | − | 1.12972i | |||||
− | 1292.30i | − | 0.924698i | |||||||
−782.617 | + | 2237.96i | −0.553341 | + | 1.58232i | |||||
1015.44 | 0.709496 | 0.354748 | − | 0.934962i | ||||||
0.354748 | + | 0.934962i | ||||||||
−1022.63 | + | 1025.36i | −0.706164 | + | 0.708048i | |||||
24.5753i | 0.0167732i | |||||||||
429.794 | − | 1229.03i | 0.289965 | − | 0.829178i | |||||
1970.99 | 1.31455 | 0.657276 | − | 0.753650i | ||||||
0.657276 | + | 0.753650i | ||||||||
27.9471 | − | 35.0719i | 0.0184279 | − | 0.0231259i | |||||
2499.35 | − | 629.329i | 1.62948 | − | 0.410299i | |||||
244.436 | − | 698.986i | 0.157583 | − | 0.450621i | |||||
163.668 | 0.104343 | |||||||||
1226.03 | + | 1948.74i | 0.773022 | + | 1.22870i | |||||
−755.460 | −0.471119 | −0.235559 | − | 0.971860i | ||||||
−0.235559 | + | 0.971860i | ||||||||
−39.0924 | − | 13.6707i | −0.0241143 | − | 0.00843279i | |||||
2128.52 | 1.29884 | 0.649419 | − | 0.760431i | ||||||
0.649419 | + | 0.760431i | ||||||||
2314.25 | + | 1844.12i | 1.39707 | + | 1.11326i | |||||
53.4605 | 0.0319304 | |||||||||
1460.40 | + | 510.703i | 0.863055 | + | 0.301812i | |||||
−850.355 | −0.497275 | |||||||||
384.867 | + | 1680.32i | 0.222724 | + | 0.972405i | |||||
2449.53i | 1.40291i | |||||||||
−1185.37 | − | 414.525i | −0.671929 | − | 0.234975i | |||||
− | 159.690i | − | 0.0895986i | |||||||
−976.500 | − | 778.125i | −0.542350 | − | 0.432172i | |||||
− | 1029.90i | − | 0.566258i | −0.959082 | − | 0.283129i | ||||
0.959082 | − | 0.283129i | ||||||||
3.87922 | − | 11.0930i | 0.00211158 | − | 0.00603824i | |||||
1189.40 | 0.641005 | 0.320502 | − | 0.947248i | ||||||
0.320502 | + | 0.947248i | ||||||||
1294.50 | − | 1355.02i | 0.690773 | − | 0.723072i | |||||
2740.61 | 1.44814 | |||||||||
637.963 | − | 1824.31i | 0.333821 | − | 0.954590i | |||||
3718.96i | 1.92719i | |||||||||
−49.2965 | + | 61.8641i | −0.0253005 | + | 0.0317506i | |||||
3448.86i | 1.75318i | 0.481241 | + | 0.876588i | ||||||
−0.481241 | + | 0.876588i | ||||||||
−2537.59 | − | 887.398i | −1.27772 | − | 0.446820i | |||||
116.384i | 0.0580494i | |||||||||
2138.27 | + | 238.865i | 1.05653 | + | 0.118025i | |||||
−1784.77 | −0.873660 | |||||||||
1932.26 | + | 675.714i | 0.937115 | + | 0.327711i | |||||
−2774.87 | −1.33340 | −0.666701 | − | 0.745325i | ||||||
−0.666701 | + | 0.745325i | ||||||||
1990.41 | − | 2497.84i | 0.947711 | − | 1.18932i | |||||
−66.6278 | −0.0314362 | |||||||||
−1435.19 | − | 501.888i | −0.671039 | − | 0.234663i | |||||
150.985 | 0.0699615 | 0.0349807 | − | 0.999388i | ||||||
0.0349807 | + | 0.999388i | ||||||||
−95.7363 | − | 152.170i | −0.0439656 | − | 0.0698822i | |||||
−697.039 | −0.317269 | |||||||||
1129.16 | − | 3228.91i | 0.509425 | − | 1.45674i | |||||
−544.686 | − | 2163.20i | −0.243586 | − | 0.967390i | |||||
602.240 | + | 479.896i | 0.266979 | + | 0.212743i | |||||
−1161.80 | −0.510579 | −0.255289 | − | 0.966865i | ||||||
−0.255289 | + | 0.966865i | ||||||||
49.1254 | − | 140.478i | 0.0214034 | − | 0.0612047i | |||||
− | 506.449i | − | 0.218766i | |||||||
−313.731 | − | 1369.74i | −0.134366 | − | 0.586635i | |||||
115.199 | 0.0489201 | |||||||||
−1311.66 | + | 3750.79i | −0.552319 | + | 1.57940i | |||||
4506.82i | 1.88188i | 0.338580 | + | 0.940938i | ||||||
−0.338580 | + | 0.940938i | ||||||||
1596.09 | − | 2003.00i | 0.660919 | − | 0.829414i | |||||
1300.89 | 0.534222 | 0.267111 | − | 0.963666i | ||||||
0.267111 | + | 0.963666i | ||||||||
−1125.32 | + | 3217.94i | −0.458319 | + | 1.31060i | |||||
98.4215 | 0.0397570 | |||||||||
−1098.39 | + | 691.040i | −0.440079 | + | 0.276870i | |||||
1855.10i | 0.737243i | |||||||||
74.5837 | − | 213.278i | 0.0294018 | − | 0.0840770i | |||||
−2234.05 | −0.873637 | |||||||||
1043.95 | − | 1310.10i | 0.404990 | − | 0.508238i | |||||
−428.527 | −0.164925 | |||||||||
−2773.03 | − | 249.521i | −1.05883 | − | 0.0952746i | |||||
− | 1713.84i | − | 0.649263i | −0.945841 | − | 0.324631i | ||||
0.945841 | − | 0.324631i | ||||||||
−117.837 | − | 56.5817i | −0.0442925 | − | 0.0212679i | |||||
− | 836.962i | − | 0.312154i | −0.987745 | − | 0.156077i | ||||
0.987745 | − | 0.156077i | ||||||||
371.653 | − | 1062.77i | 0.137542 | − | 0.393312i | |||||
117.526 | 0.0431602 | |||||||||
−3913.34 | − | 3118.35i | −1.42615 | − | 1.13643i | |||||
567.220i | 0.205141i | 0.994726 | + | 0.102570i | ||||||
−0.994726 | + | 0.102570i | ||||||||
−1578.94 | − | 552.159i | −0.566720 | − | 0.198183i | |||||
− | 3533.62i | − | 1.25875i | −0.777101 | − | 0.629376i | ||||
0.777101 | − | 0.629376i | ||||||||
−196.091 | − | 311.682i | −0.0693287 | − | 0.110196i | |||||
66.8406 | 0.0234556 | |||||||||
−1037.40 | + | 2966.52i | −0.361342 | + | 1.03329i | |||||
− | 6413.53i | − | 2.21745i | |||||||
−129.512 | + | 162.530i | −0.0444492 | + | 0.0557811i | |||||
−4745.27 | −1.61670 | |||||||||
2666.93 | + | 932.628i | 0.902008 | + | 0.315433i | |||||
1544.72i | 0.518674i | |||||||||
553.397 | + | 2416.11i | 0.184477 | + | 0.805419i | |||||
444.010 | + | 1763.36i | 0.146951 | + | 0.583610i | |||||
−88.1719 | + | 252.135i | −0.0289735 | + | 0.0828521i | |||||
− | 3990.60i | − | 1.30201i | −0.759073 | − | 0.651006i | ||||
0.759073 | − | 0.651006i | ||||||||
2852.10 | + | 2272.69i | 0.923975 | + | 0.736270i | |||||
139.651i | 0.0449235i | |||||||||
77.1443 | − | 220.600i | 0.0246424 | − | 0.0704670i | |||||
− | 1144.11i | − | 0.362918i | |||||||
−263.727 | + | 165.921i | −0.0830757 | + | 0.0522661i | |||||
− | 9737.23i | − | 3.04611i | |||||||
−2233.64 | − | 781.106i | −0.693949 | − | 0.242675i | |||||
− | 113.351i | − | 0.0349751i | |||||||
−1301.08 | + | 1632.77i | −0.398721 | + | 0.500371i | |||||
3940.70 | 1.19946 | |||||||||
37.2041 | − | 106.388i | 0.0112476 | − | 0.0321636i | |||||
−1073.95 | −0.322498 | −0.161249 | − | 0.986914i | ||||||
−0.161249 | + | 0.986914i | ||||||||
−5598.57 | − | 625.413i | −1.66996 | − | 0.186550i | |||||
−438.334 | −0.129877 | |||||||||
542.390 | − | 1551.01i | 0.159643 | − | 0.456511i | |||||
3165.76i | 0.925633i | 0.886454 | + | 0.462816i | ||||||
−0.886454 | + | 0.462816i | ||||||||
154.026 | + | 69.9230i | 0.0447397 | + | 0.0203104i | |||||
− | 2500.47i | − | 0.721553i | −0.932652 | − | 0.360776i | ||||
0.932652 | − | 0.360776i | ||||||||
1819.95 | + | 636.439i | 0.521756 | + | 0.182459i | |||||
174.450 | 0.0496880 | |||||||||
−2483.24 | − | 3947.05i | −0.702728 | − | 1.11697i | |||||
1034.30 | 0.290812 | 0.145406 | − | 0.989372i | ||||||
0.145406 | + | 0.989372i | ||||||||
2785.13 | + | 973.966i | 0.778077 | + | 0.272095i | |||||
−2488.86 | −0.690873 | |||||||||
2249.55 | − | 2823.05i | 0.620479 | − | 0.778664i | |||||
− | 242.657i | − | 0.0665075i | |||||||
−2956.43 | + | 8454.16i | −0.805198 | + | 2.30253i | |||||
− | 1446.06i | − | 0.391370i | −0.980667 | − | 0.195685i | ||||
0.980667 | − | 0.195685i | ||||||||
43.3603 | + | 189.309i | 0.0116621 | + | 0.0509161i | |||||
3098.89i | 0.828288i | 0.910211 | + | 0.414144i | ||||||
−0.910211 | + | 0.414144i | ||||||||
−2266.51 | − | 792.603i | −0.602053 | − | 0.210539i | |||||
556.562i | 0.146928i | |||||||||
1921.93 | − | 2411.91i | 0.504258 | − | 0.632814i | |||||
7434.37i | 1.93863i | |||||||||
272.136 | + | 95.1664i | 0.0705315 | + | 0.0246650i | |||||
−783.199 | − | 3110.44i | −0.201756 | − | 0.801265i | |||||
−3770.14 | − | 5992.54i | −0.965339 | − | 1.53438i | |||||
− | 137.240i | − | 0.0349287i | |||||||
1206.58 | − | 3450.30i | 0.305242 | − | 0.872865i | |||||
3586.47 | 0.901897 | 0.450948 | − | 0.892550i | ||||||
0.450948 | + | 0.892550i | ||||||||
−4178.99 | + | 5244.38i | −1.04465 | + | 1.31097i | |||||
− | 1259.21i | − | 0.312907i | |||||||
2711.11 | + | 948.081i | 0.669726 | + | 0.234204i | |||||
308.765 | 0.0758260 | |||||||||
−3687.66 | + | 1782.80i | −0.900307 | + | 0.435255i | |||||
6739.57i | 1.63581i | 0.575355 | + | 0.817904i | ||||||
−0.575355 | + | 0.817904i | ||||||||
−22.9450 | + | 65.6132i | −0.00553681 | + | 0.0158330i | |||||
− | 4857.16i | − | 1.16529i | |||||||
2295.00 | − | 2880.09i | 0.547423 | − | 0.686983i | |||||
−5550.93 | −1.31645 | |||||||||
5262.32 | + | 1840.24i | 1.24087 | + | 0.433933i | |||||
− | 2998.75i | − | 0.703083i | −0.936172 | − | 0.351541i | ||||
0.936172 | − | 0.351541i | ||||||||
107.361 | − | 67.5448i | 0.0250288 | − | 0.0157466i | |||||
− | 5418.26i | − | 1.25600i | |||||||
7260.55 | + | 653.314i | 1.67358 | + | 0.150591i | |||||
−358.669 | −0.0822105 | |||||||||
1305.23 | − | 1637.99i | 0.297499 | − | 0.373344i | |||||
−3587.92 | −0.813231 | −0.406615 | − | 0.913599i | ||||||
−0.406615 | + | 0.913599i | ||||||||
436.975 | + | 152.811i | 0.0984943 | + | 0.0344436i | |||||
− | 2610.23i | − | 0.585092i | −0.956251 | − | 0.292546i | ||||
0.956251 | − | 0.292546i | ||||||||
1453.88 | + | 6347.61i | 0.324098 | + | 1.41500i | |||||
−307.715 | −0.0682190 | |||||||||
−2016.99 | − | 705.344i | −0.444711 | − | 0.155516i | |||||
357.315 | 0.0783524 | |||||||||
−91.6084 | − | 72.9982i | −0.0199789 | − | 0.0159202i | |||||
5163.37i | 1.11999i | 0.828497 | + | 0.559994i | ||||||
−0.828497 | + | 0.559994i | ||||||||
5682.89 | + | 1987.32i | 1.22603 | + | 0.428745i | |||||
−8427.60 | −1.80841 | |||||||||
4457.01 | + | 7084.30i | 0.951275 | + | 1.51203i | |||||
− | 5390.26i | − | 1.14433i | −0.820140 | − | 0.572163i | ||||
0.820140 | − | 0.572163i | ||||||||
142.733 | + | 49.9140i | 0.0301406 | + | 0.0105402i | |||||
−7541.59 | −1.58410 | −0.792051 | − | 0.610455i | ||||||
−0.792051 | + | 0.610455i | ||||||||
3422.27 | + | 2727.04i | 0.715050 | + | 0.569788i | |||||
−61.3659 | − | 243.712i | −0.0127544 | − | 0.0506535i | |||||
−2270.35 | − | 793.944i | −0.469400 | − | 0.164150i | |||||
12424.4 | 2.55536 | |||||||||
−541.297 | + | 4845.58i | −0.110751 | + | 0.991419i | |||||
5440.00 | 1.10727 | |||||||||
−2287.03 | + | 6539.96i | −0.463101 | + | 1.32427i | |||||
101.628 | 0.0204726 | |||||||||
−2777.77 | − | 2213.46i | −0.556700 | − | 0.443607i | |||||
−2730.96 | −0.544520 | −0.272260 | − | 0.962224i | ||||||
−0.272260 | + | 0.962224i | ||||||||
149.096 | − | 426.353i | 0.0295764 | − | 0.0845763i | |||||
−5363.08 | −1.05848 | |||||||||
−1880.63 | − | 2989.22i | −0.369289 | − | 0.586976i | |||||
− | 302.339i | − | 0.0590689i | |||||||
961.575 | − | 2749.70i | 0.186921 | − | 0.534517i | |||||
2221.14i | 0.429605i | |||||||||
20.7141 | − | 25.9950i | 0.00398644 | − | 0.00500274i | |||||
2995.58i | 0.573628i | |||||||||
3175.55 | + | 1110.49i | 0.605074 | + | 0.211595i | |||||
−283.674 | −0.0537843 | |||||||||
4721.29 | − | 2409.13i | 0.890738 | − | 0.454517i | |||||
−4582.02 | −0.860215 | |||||||||
7317.11 | + | 2558.80i | 1.36696 | + | 0.478030i | |||||
1024.35i | 0.190433i | 0.995457 | + | 0.0952163i | ||||||
−0.995457 | + | 0.0952163i | ||||||||
3406.57 | − | 4275.04i | 0.630219 | − | 0.790887i | |||||
255.025i | 0.0469510i | |||||||||
−3472.25 | + | 9929.18i | −0.636163 | + | 1.81916i | |||||
2526.27i | 0.460617i | 0.973118 | + | 0.230308i | ||||||
−0.973118 | + | 0.230308i | ||||||||
−189.376 | + | 119.144i | −0.0343632 | + | 0.0216192i | |||||
10532.3 | 1.90199 | 0.950994 | − | 0.309209i | ||||||
0.950994 | + | 0.309209i | ||||||||
−3220.07 | + | 9208.04i | −0.578723 | + | 1.65490i | |||||
9963.00 | 1.78207 | |||||||||
−5946.53 | − | 4738.50i | −1.05860 | − | 0.843549i | |||||
6189.48 | 1.09664 | 0.548322 | − | 0.836267i | ||||||
0.548322 | + | 0.836267i | ||||||||
−108.663 | + | 310.732i | −0.0191621 | + | 0.0547955i | |||||
4524.94 | 0.794194 | |||||||||
5485.92 | + | 2634.16i | 0.958350 | + | 0.460170i | |||||
21.0949 | 0.00366793 | |||||||||
−4765.12 | − | 1666.37i | −0.824688 | − | 0.288395i | |||||
−2057.62 | − | 8171.75i | −0.354455 | − | 1.40770i | |||||
4528.02 | + | 3608.16i | 0.776409 | + | 0.618682i | |||||
−630.276 | −0.107574 | |||||||||
−7408.58 | − | 2590.79i | −1.25866 | − | 0.440156i | |||||
− | 213.592i | − | 0.0361213i | |||||||
7646.29 | − | 4810.57i | 1.28718 | − | 0.809815i | |||||
6516.50 | 1.09199 | |||||||||
−177.888 | − | 62.2079i | −0.0296740 | − | 0.0103771i | |||||
4035.04i | 0.670048i | 0.942210 | + | 0.335024i | ||||||
−0.942210 | + | 0.335024i | ||||||||
−3363.20 | − | 2679.97i | −0.555962 | − | 0.443019i | |||||
−4203.89 | −0.691807 | |||||||||
403.112 | + | 140.969i | 0.0660399 | + | 0.0230942i | |||||
−3111.77 | −0.507504 | |||||||||
−113.529 | − | 495.663i | −0.0184331 | − | 0.0804780i | |||||
9651.06i | 1.56002i | 0.625767 | + | 0.780010i | ||||||
−0.625767 | + | 0.780010i | ||||||||
−1861.01 | − | 650.799i | −0.299485 | − | 0.104730i | |||||
148.315 | 0.0237622 | |||||||||
6029.43 | − | 7566.57i | 0.961740 | − | 1.20693i | |||||
6869.90 | 1.09099 | |||||||||
565.445 | − | 6284.03i | 0.0894029 | − | 0.993572i | |||||
− | 8790.88i | − | 1.38386i | |||||||
1159.85 | + | 1843.55i | 0.181788 | + | 0.288947i | |||||
174.033i | 0.0271583i | |||||||||
−3101.87 | − | 1084.73i | −0.481959 | − | 0.168542i | |||||
−1311.88 | −0.202955 | −0.101478 | − | 0.994838i | ||||||
−0.101478 | + | 0.994838i | ||||||||
262.318 | − | 329.193i | 0.0404072 | − | 0.0507087i | |||||
7143.37i | 1.09563i | 0.836599 | + | 0.547816i | ||||||
−0.836599 | + | 0.547816i | ||||||||
472.853 | − | 1352.16i | 0.0722144 | − | 0.206503i | |||||
533.302i | 0.0810985i | |||||||||
441.247 | − | 3949.96i | 0.0668141 | − | 0.598106i | |||||
3355.30 | 0.505905 | 0.252952 | − | 0.967479i | ||||||
0.252952 | + | 0.967479i | ||||||||
307.567 | + | 107.557i | 0.0461780 | + | 0.0161485i | |||||
− | 6501.44i | − | 0.972002i | |||||||
−7003.93 | + | 8789.52i | −1.04272 | + | 1.30855i | |||||
−808.430 | −0.119851 | |||||||||
−4207.85 | + | 12032.7i | −0.621206 | + | 1.77639i | |||||
5647.41i | 0.830247i | 0.909765 | + | 0.415124i | ||||||
−0.909765 | + | 0.415124i | ||||||||
6131.49 | − | 3857.56i | 0.897661 | − | 0.564753i | |||||
−6041.11 | + | 3248.21i | −0.880757 | + | 0.473569i | |||||
3473.22 | + | 1214.59i | 0.504277 | + | 0.176346i | |||||
− | 216.735i | − | 0.0313379i | |||||||
−6008.93 | + | 7540.85i | −0.865257 | + | 1.08585i | |||||
5277.05i | 0.756750i | |||||||||
262.774 | + | 91.8925i | 0.0375285 | + | 0.0131238i | |||||
− | 6607.22i | − | 0.939766i | −0.882729 | − | 0.469883i | ||||
0.882729 | − | 0.469883i | ||||||||
−3577.78 | + | 819.470i | −0.506806 | + | 0.116081i | |||||
− | 10753.3i | − | 1.51706i | |||||||
−1732.04 | + | 4952.91i | −0.243363 | + | 0.695917i | |||||
14186.5i | 1.98524i | |||||||||
398.260 | − | 499.792i | 0.0555075 | − | 0.0696586i | |||||
−9677.75 | −1.34342 | −0.671709 | − | 0.740815i | ||||||
−0.671709 | + | 0.740815i | ||||||||
−5964.66 | − | 2085.85i | −0.824667 | − | 0.288387i | |||||
329.935 | 0.0454341 | |||||||||
4010.42 | − | 2523.11i | 0.550058 | − | 0.346062i | |||||
−7981.64 | −1.09039 | |||||||||
−1144.12 | − | 400.100i | −0.155680 | − | 0.0544416i | |||||
− | 7594.94i | − | 1.02936i | −0.857384 | − | 0.514678i | ||||
0.857384 | − | 0.514678i | ||||||||
−7170.71 | − | 3255.27i | −0.968025 | − | 0.439452i | |||||
259.251i | 0.0348604i | |||||||||
1600.15 | − | 4575.75i | 0.214321 | − | 0.612869i | |||||
689.095 | 0.0919350 | 0.0459675 | − | 0.998943i | ||||||
0.0459675 | + | 0.998943i | ||||||||
−261.783 | − | 261.087i | −0.0347893 | − | 0.0346967i | |||||
−8121.51 | −1.07509 | |||||||||
781.439 | − | 2234.59i | 0.103042 | − | 0.294657i | |||||
2592.68 | 0.340551 | |||||||||
1984.54 | − | 2490.48i | 0.259664 | − | 0.325863i | |||||
− | 918.749i | − | 0.119749i | −0.998206 | − | 0.0598746i | ||||
0.998206 | − | 0.0598746i | ||||||||
313.781 | + | 109.730i | 0.0407409 | + | 0.0142471i | |||||
5835.38i | 0.754752i | |||||||||
−7536.68 | − | 11979.4i | −0.971071 | − | 1.54349i | |||||
503.210i | 0.0645893i | |||||||||
−529.591 | + | 1514.41i | −0.0677168 | + | 0.193642i | |||||
11296.9i | 1.43901i | |||||||||
−3700.07 | − | 2948.40i | −0.469534 | − | 0.374148i | |||||
− | 6718.99i | − | 0.849411i | −0.905332 | − | 0.424706i | ||||
0.905332 | − | 0.424706i | ||||||||
3299.21 | − | 9434.36i | 0.415514 | − | 1.18819i | |||||
160.673 | + | 638.103i | 0.0201596 | + | 0.0800630i | |||||
−232.535 | − | 1015.24i | −0.0290668 | − | 0.126905i | |||||
2657.88i | 0.330993i | 0.986210 | + | 0.165496i | ||||||
−0.986210 | + | 0.165496i | ||||||||
178.457 | + | 62.4065i | 0.0221408 | + | 0.00774267i | |||||
−12118.0 | −1.49786 | |||||||||
−5539.46 | + | 6951.69i | −0.682174 | + | 0.856088i | |||||
− | 8602.09i | − | 1.05541i | |||||||
5988.07 | − | 17123.4i | 0.731978 | − | 2.09315i | |||||
3426.87 | 0.417355 | |||||||||
−497.529 | + | 313.015i | −0.0603710 | + | 0.0379817i | |||||
865.521i | 0.104639i | 0.998630 | + | 0.0523194i | ||||||
−0.998630 | + | 0.0523194i | ||||||||
−12669.3 | − | 4430.47i | −1.52608 | − | 0.533672i | |||||
− | 192.875i | − | 0.0231480i | |||||||
6249.62 | + | 4980.02i | 0.747322 | + | 0.595504i | |||||
14042.0 | 1.67303 | |||||||||
−1442.25 | + | 4124.23i | −0.171214 | + | 0.489601i | |||||
6389.23i | 0.755747i | |||||||||
−778.326 | + | 6967.42i | −0.0917321 | + | 0.821168i | |||||
543.427i | 0.0638171i | |||||||||
−460.932 | + | 5122.53i | −0.0539352 | + | 0.599405i | |||||
10425.9 | 1.21561 | 0.607804 | − | 0.794087i | ||||||
0.607804 | + | 0.794087i | ||||||||
−470.817 | + | 590.847i | −0.0546989 | + | 0.0686438i | |||||
−8091.59 | −0.936722 | −0.468361 | − | 0.883537i | ||||||
−0.468361 | + | 0.883537i | ||||||||
3725.87 | − | 10654.4i | 0.429793 | − | 1.22903i | |||||
− | 5640.05i | − | 0.648295i | |||||||
5492.83 | + | 8730.72i | 0.629140 | + | 1.00000i | |||||
−1655.86 | −0.188991 | |||||||||
−130.387 | + | 372.851i | −0.0148292 | + | 0.0424054i | |||||
11997.0 | 1.35966 | |||||||||
411.932 | − | 516.950i | 0.0465222 | − | 0.0583826i | |||||
− | 217.102i | − | 0.0244331i | |||||||
1068.21 | − | 3054.63i | 0.119799 | − | 0.342575i | |||||
4972.36 | 0.555708 | 0.277854 | − | 0.960623i | ||||||
0.277854 | + | 0.960623i | ||||||||
−859.034 | + | 196.757i | −0.0956720 | + | 0.0219131i | |||||
4916.49i | 0.545661i | 0.962062 | + | 0.272831i | ||||||
−0.962062 | + | 0.272831i | ||||||||
9091.28 | − | 25997.3i | 1.00552 | − | 2.87536i | |||||
−625.384 | −0.0689308 | |||||||||
−5234.26 | − | 4170.92i | −0.574944 | − | 0.458145i | |||||
4605.94 | − | 1159.76i | 0.504192 | − | 0.126954i | |||||
105.831 | − | 302.634i | 0.0115453 | − | 0.0330146i | |||||
−9969.73 | −1.08389 | −0.541947 | − | 0.840413i | ||||||
−0.541947 | + | 0.840413i | ||||||||
−4998.19 | + | 3144.55i | −0.541543 | + | 0.340706i | |||||
−16847.2 | −1.81915 | |||||||||
10521.2 | + | 3679.28i | 1.13222 | + | 0.395940i | |||||
−12954.5 | −1.38936 | −0.694678 | − | 0.719321i | ||||||
−0.694678 | + | 0.719321i | ||||||||
198.661 | − | 249.308i | 0.0212343 | − | 0.0266478i | |||||
16697.9 | 1.77878 | |||||||||
−2867.32 | − | 1002.71i | −0.304421 | − | 0.106456i | |||||
262.941 | 0.0278225 | |||||||||
−14363.6 | − | 6896.95i | −1.51477 | − | 0.727345i | |||||
1992.49i | 0.209424i | 0.994503 | + | 0.104712i | ||||||
−0.994503 | + | 0.104712i | ||||||||
−1170.30 | − | 409.256i | −0.122597 | − | 0.0428722i | |||||
8765.77i | 0.915219i | |||||||||
2896.24 | − | 3634.60i | 0.301388 | − | 0.378224i | |||||
303.662i | 0.0314951i | |||||||||
−2955.75 | + | 8452.20i | −0.305551 | + | 0.873748i | |||||
14325.7 | 1.47604 | |||||||||
345.948 | + | 330.495i | 0.0355274 | + | 0.0339404i | |||||
12912.0 | 1.32166 | 0.660831 | − | 0.750535i | ||||||
0.660831 | + | 0.750535i | ||||||||
2334.59 | − | 6675.96i | 0.238184 | − | 0.681107i | |||||
1401.09i | 0.142478i | |||||||||
4264.83 | + | 3398.44i | 0.432280 | + | 0.344463i | |||||
− | 14539.6i | − | 1.46893i | −0.678646 | − | 0.734466i | ||||
0.678646 | − | 0.734466i | ||||||||
465.760 | + | 162.877i | 0.0469028 | + | 0.0164020i | |||||
5767.23i | 0.578889i | 0.957195 | + | 0.289445i | ||||||
−0.957195 | + | 0.289445i | ||||||||
−2944.75 | − | 12856.7i | −0.294627 | − | 1.28633i | |||||
−949.479 | −0.0946904 | |||||||||
2761.45 | + | 965.685i | 0.274510 | + | 0.0959967i | |||||
−3777.72 | −0.374330 | −0.187165 | − | 0.982329i | ||||||
−0.187165 | + | 0.982329i | ||||||||
6526.63 | + | 5200.75i | 0.644644 | + | 0.513685i | |||||
8147.44 | 0.802162 | |||||||||
−6644.95 | − | 2323.75i | −0.652147 | − | 0.228057i | |||||
−880.520 | −0.0861406 | |||||||||
8641.80 | − | 5436.89i | 0.842735 | − | 0.530197i | |||||
−2113.47 | −0.205449 | |||||||||
226.560 | − | 647.866i | 0.0219541 | − | 0.0627795i | |||||
329.096 | + | 1306.99i | 0.0317894 | + | 0.126250i | |||||
−15786.7 | + | 19811.3i | −1.52013 | + | 1.90767i | |||||
12278.4 | 1.17860 | |||||||||
1350.13 | − | 3860.80i | 0.129191 | − | 0.369433i | |||||
16308.7i | 1.55566i | 0.628474 | + | 0.777830i | ||||||
−0.628474 | + | 0.777830i | ||||||||
−60.9841 | + | 545.918i | −0.00579902 | + | 0.0519117i | |||||
−6044.73 | −0.573006 | |||||||||
−2893.32 | + | 8273.69i | −0.273417 | + | 0.781859i | |||||
− | 455.665i | − | 0.0429264i | |||||||
−5311.30 | − | 4232.31i | −0.498807 | − | 0.397475i | |||||
−4731.28 | −0.442962 | |||||||||
−519.641 | + | 1485.96i | −0.0485008 | + | 0.138692i | |||||
7770.87 | 0.723063 | 0.361532 | − | 0.932360i | ||||||
0.361532 | + | 0.932360i | ||||||||
7383.24 | − | 4645.08i | 0.684884 | − | 0.430887i | |||||
− | 708.446i | − | 0.0655154i | |||||||
−6941.19 | + | 19848.9i | −0.639941 | + | 1.82996i | |||||
−16888.6 | −1.55228 | −0.776141 | − | 0.630559i | ||||||
−0.776141 | + | 0.630559i | ||||||||
637.718 | + | 508.166i | 0.0584361 | + | 0.0465648i | |||||
−20969.4 | −1.91564 | |||||||||
813.048 | − | 9035.75i | 0.0740502 | − | 0.822951i | |||||
7029.19i | 0.638260i | |||||||||
−4470.82 | − | 19519.4i | −0.404729 | − | 1.76703i | |||||
17022.5i | 1.53635i | |||||||||
128.136 | − | 366.415i | 0.0115299 | − | 0.0329708i | |||||
961.553 | 0.0862626 | 0.0431313 | − | 0.999069i | ||||||
0.0431313 | + | 0.999069i | ||||||||
6442.83 | − | 8085.37i | 0.576264 | − | 0.723177i | |||||
38.5477i | 0.00343749i | |||||||||
9575.46 | + | 3348.55i | 0.851342 | + | 0.297716i | |||||
5526.02i | 0.489847i | 0.969542 | + | 0.244924i | ||||||
−0.969542 | + | 0.244924i | ||||||||
−16053.9 | + | 10100.1i | −1.41884 | + | 0.892649i | |||||
13206.5 | 1.16372 | |||||||||
1175.67 | − | 3361.93i | 0.103291 | − | 0.295368i | |||||
− | 177.960i | − | 0.0155887i | |||||||
6353.17 | + | 5062.53i | 0.554875 | + | 0.442152i | |||||
2723.71 | 0.237184 | 0.118592 | − | 0.992943i | ||||||
0.118592 | + | 0.992943i | ||||||||
824.367 | + | 288.282i | 0.0715756 | + | 0.0250301i | |||||
− | 13816.7i | − | 1.19612i | |||||||
−11510.2 | + | 1316.85i | −0.993519 | + | 0.113666i | |||||
1105.90 | − | 278.462i | 0.0951785 | − | 0.0239657i | |||||
−6292.48 | + | 17993.9i | −0.539979 | + | 1.54411i | |||||
− | 11872.7i | − | 1.01587i | |||||||
−122.521 | + | 153.757i | −0.0104529 | + | 0.0131178i | |||||
4597.58i | 0.391105i | |||||||||
4534.95 | − | 12968.0i | 0.384660 | − | 1.09997i | |||||
− | 296.617i | − | 0.0250868i | |||||||
8816.41 | − | 5546.74i | 0.743510 | − | 0.467771i | |||||
− | 5935.63i | − | 0.499126i | −0.968359 | − | 0.249563i | ||||
0.968359 | − | 0.249563i | ||||||||
−14820.3 | − | 5182.70i | −1.24266 | − | 0.434560i | |||||
1446.58i | 0.120945i | 0.998170 | + | 0.0604726i | ||||||
−0.998170 | + | 0.0604726i | ||||||||
12331.6 | + | 9826.46i | 1.02807 | + | 0.819219i | |||||
129.300 | 0.0107488 | |||||||||
2799.82 | − | 8006.31i | 0.232087 | − | 0.663672i | |||||
−31836.3 | −2.63152 | |||||||||
349.705 | − | 80.0980i | 0.0288238 | − | 0.00660192i | |||||
8877.94 | 0.729673 | |||||||||
5058.83 | − | 14466.1i | 0.414606 | − | 1.18560i | |||||
− | 12153.4i | − | 0.993243i | |||||||
18774.8 | + | 8523.17i | 1.53006 | + | 0.694598i | |||||
− | 15462.1i | − | 1.25655i | |||||||
−957.605 | − | 334.876i | −0.0776023 | − | 0.0271376i | |||||
−982.075 | −0.0793623 | |||||||||
5014.15 | − | 3154.59i | 0.404064 | − | 0.254212i | |||||
−1150.63 | −0.0924641 | |||||||||
−9579.32 | − | 3349.90i | −0.767646 | − | 0.268447i | |||||
13733.3 | 1.09746 | |||||||||
1024.00 | + | 815.974i | 0.0816035 | + | 0.0650258i | |||||
− | 2569.96i | − | 0.204235i | −0.994772 | − | 0.102118i | ||||
0.994772 | − | 0.102118i | ||||||||
2437.07 | − | 6969.00i | 0.193139 | − | 0.552296i | |||||
332.127i | 0.0262485i | |||||||||
−2044.82 | + | 18304.8i | −0.161160 | + | 1.44267i | |||||
9943.78i | 0.781550i | |||||||||
−821.564 | − | 287.302i | −0.0643951 | − | 0.0225191i | |||||
7507.83i | 0.586858i | 0.955981 | + | 0.293429i | ||||||
−0.955981 | + | 0.293429i | ||||||||
−4726.57 | − | 3766.37i | −0.368447 | − | 0.293597i | |||||
− | 10383.4i | − | 0.807201i | |||||||
953.989 | + | 333.611i | 0.0739604 | + | 0.0258641i | |||||
4167.58 | + | 16551.4i | 0.322223 | + | 1.27969i | |||||
−176.428 | − | 280.428i | −0.0136038 | − | 0.0216228i | |||||
− | 29578.4i | − | 2.27450i | |||||||
−4820.84 | + | 13785.6i | −0.369707 | + | 1.05721i | |||||
−473.622 | −0.0362237 | |||||||||
13317.2 | + | 10611.8i | 1.01578 | + | 0.809425i | |||||
− | 12498.0i | − | 0.950728i | −0.879789 | − | 0.475364i | ||||
0.879789 | − | 0.475364i | ||||||||
−22500.7 | − | 7868.53i | −1.70705 | − | 0.596956i | |||||
3727.99 | 0.282070 | |||||||||
5285.34 | + | 23075.6i | 0.398833 | + | 1.74129i | |||||
− | 570.371i | − | 0.0429253i | |||||||
5032.68 | − | 14391.4i | 0.377741 | − | 1.08018i | |||||
14437.3i | 1.08075i | 0.841425 | + | 0.540374i | ||||||
−0.841425 | + | 0.540374i | ||||||||
334.478 | + | 266.529i | 0.0249718 | + | 0.0198988i | |||||
−6904.83 | −0.514138 | |||||||||
−20135.2 | − | 7041.29i | −1.49531 | − | 0.522911i | |||||
22522.6i | 1.66818i | |||||||||
6590.92 | + | 10476.1i | 0.486882 | + | 0.773887i | |||||
3732.90i | 0.275029i | 0.990500 | + | 0.137514i | ||||||
−0.990500 | + | 0.137514i | ||||||||
63.7047 | − | 707.977i | 0.00468122 | − | 0.0520244i | |||||
7948.75 | 0.582566 | 0.291283 | − | 0.956637i | ||||||
0.291283 | + | 0.956637i | ||||||||
−5320.29 | − | 4239.48i | −0.388903 | − | 0.309898i | |||||
437.557 | 0.0319009 | |||||||||
33171.6 | + | 11600.2i | 2.41212 | + | 0.843523i | |||||
− | 933.312i | − | 0.0676901i | |||||||
−5969.34 | + | 12431.8i | −0.431810 | + | 0.899287i | |||||
−1091.83 | −0.0787758 | −0.0393879 | − | 0.999224i | ||||||
−0.0393879 | + | 0.999224i | ||||||||
14524.2 | + | 5079.12i | 1.04520 | + | 0.365508i | |||||
213.683 | 0.0153374 | |||||||||
−12212.2 | + | 15325.6i | −0.874285 | + | 1.09717i | |||||
− | 16728.7i | − | 1.19453i | |||||||
271.334 | + | 94.8859i | 0.0193250 | + | 0.00675799i | |||||
−10009.0 | −0.711028 | |||||||||
−5349.68 | − | 8503.19i | −0.379061 | − | 0.602507i | |||||
− | 12398.9i | − | 0.876296i | |||||||
−7291.35 | − | 2549.79i | −0.513998 | − | 0.179746i | |||||
3678.42 | 0.258645 | 0.129322 | − | 0.991603i | ||||||
0.129322 | + | 0.991603i | ||||||||
796.140 | − | 999.107i | 0.0558371 | − | 0.0700723i | |||||
6327.36 | + | 25128.8i | 0.442639 | + | 1.75792i | |||||
−14318.8 | − | 5007.30i | −0.999145 | − | 0.349402i | |||||
−144.816 | −0.0100794 | |||||||||
−2230.15 | − | 9736.75i | −0.154829 | − | 0.675976i | |||||
−17520.6 | −1.21330 | −0.606648 | − | 0.794970i | ||||||
−0.606648 | + | 0.794970i | ||||||||
282.282 | − | 807.209i | 0.0194986 | − | 0.0557579i | |||||
37636.5 | 2.59319 | |||||||||
5134.59 | − | 6443.60i | 0.352887 | − | 0.442852i | |||||
902.161 | 0.0618476 | |||||||||
−2073.80 | + | 5930.19i | −0.141812 | + | 0.405524i | |||||
14805.7 | 1.00992 | 0.504960 | − | 0.863143i | ||||||
0.504960 | + | 0.863143i | ||||||||
79.5749 | − | 50.0636i | 0.00541438 | − | 0.00340640i | |||||
− | 9476.86i | − | 0.643210i | −0.946874 | − | 0.321605i | ||||
0.946874 | − | 0.321605i | ||||||||
−2796.86 | + | 7997.84i | −0.189354 | + | 0.541474i | |||||
− | 7051.64i | − | 0.476227i | |||||||
7441.52 | + | 5929.78i | 0.501310 | + | 0.399469i | |||||
10090.1i | 0.678053i | |||||||||
−757.376 | − | 264.856i | −0.0507695 | − | 0.0177542i | |||||
1962.54 | 0.131231 | 0.0656155 | − | 0.997845i | ||||||
0.0656155 | + | 0.997845i | ||||||||
14854.6 | − | 2024.01i | 0.990845 | − | 0.135008i | |||||
1637.42 | 0.108952 | |||||||||
−12233.5 | − | 4278.06i | −0.811997 | − | 0.283957i | |||||
− | 8109.77i | − | 0.536966i | |||||||
17146.8 | + | 13663.4i | 1.13254 | + | 0.902468i | |||||
9072.88i | 0.597798i | 0.954285 | + | 0.298899i | ||||||
−0.954285 | + | 0.298899i | ||||||||
−956.398 | + | 2734.90i | −0.0628617 | + | 0.179758i | |||||
− | 1211.50i | − | 0.0794350i | |||||||
13086.6 | − | 8233.28i | 0.855964 | − | 0.538520i | |||||
9669.18 | 0.630902 | 0.315451 | − | 0.948942i | ||||||
0.315451 | + | 0.948942i | ||||||||
−238.107 | + | 680.887i | −0.0154985 | + | 0.0443193i | |||||
4803.50 | 0.311905 | 0.155952 | − | 0.987765i | ||||||
0.155952 | + | 0.987765i | ||||||||
−18541.0 | + | 23267.8i | −1.20101 | + | 1.50719i | |||||
−789.714 | −0.0510308 | |||||||||
−2358.69 | + | 6744.85i | −0.152049 | + | 0.434797i | |||||
−43719.5 | −2.81153 | |||||||||
−616.852 | + | 141.287i | −0.0395735 | + | 0.00906409i | |||||
−17394.4 | −1.11324 | |||||||||
28120.1 | + | 9833.63i | 1.79537 | + | 0.627845i | |||||
−450.201 | + | 113.359i | −0.0286751 | + | 0.00722031i | |||||
−17194.4 | + | 21577.9i | −1.09257 | + | 1.37110i | |||||
−15880.7 | −1.00669 | |||||||||
26600.0 | + | 9302.08i | 1.68218 | + | 0.588260i | |||||
1994.73i | 0.125846i | 0.998018 | + | 0.0629232i | ||||||
−0.998018 | + | 0.0629232i | ||||||||
−11452.4 | − | 18203.3i | −0.720809 | − | 1.14571i | |||||
1018.83 | 0.0639731 | |||||||||
16525.2 | + | 5778.89i | 1.03517 | + | 0.362001i | |||||
− | 12069.4i | − | 0.754268i | |||||||
−580.237 | + | 728.162i | −0.0361759 | + | 0.0453986i | |||||
−24224.4 | −1.50676 | |||||||||
12081.0 | + | 4224.76i | 0.749676 | + | 0.262163i | |||||
14733.1 | 0.912098 | |||||||||
12187.3 | + | 12154.9i | 0.752729 | + | 0.750726i | |||||
12599.6i | 0.776374i | 0.921581 | + | 0.388187i | ||||||
−0.921581 | + | 0.388187i | ||||||||
56.3210 | + | 19.6955i | 0.00346232 | + | 0.00121078i | |||||
13231.7 | 0.811517 | 0.405759 | − | 0.913980i | ||||||
0.405759 | + | 0.913980i | ||||||||
−11166.5 | − | 8898.02i | −0.683262 | − | 0.544458i | |||||
292.099 | 0.0178316 | |||||||||
2136.04 | − | 23738.7i | 0.130095 | − | 1.44580i | |||||
345.667i | 0.0210040i | 0.999945 | + | 0.0105020i | ||||||
−0.999945 | + | 0.0105020i | ||||||||
8720.48 | + | 13861.0i | 0.528662 | + | 0.840295i | |||||
9907.03i | 0.599207i | |||||||||
−1682.76 | − | 588.465i | −0.101544 | − | 0.0355100i | |||||
2485.99 | 0.149668 | |||||||||
−17361.1 | − | 13834.2i | −1.04281 | − | 0.830966i | |||||
− | 28907.1i | − | 1.73234i | −0.499745 | − | 0.866172i | ||||
0.499745 | − | 0.866172i | ||||||||
199.423 | − | 570.265i | 0.0119236 | − | 0.0340965i | |||||
− | 23427.0i | − | 1.39751i | |||||||
24906.1 | − | 5704.62i | 1.48235 | − | 0.339524i | |||||
−11958.4 | −0.710112 | |||||||||
17398.3 | + | 6084.20i | 1.03078 | + | 0.360467i | |||||
17748.5i | 1.04914i | 0.851368 | + | 0.524569i | ||||||
−0.851368 | + | 0.524569i | ||||||||
−416.860 | − | 332.175i | −0.0245852 | − | 0.0195908i | |||||
29973.2 | 1.76373 | 0.881864 | − | 0.471504i | ||||||
0.881864 | + | 0.471504i | ||||||||
−3767.37 | + | 10773.1i | −0.221183 | + | 0.632490i | |||||
1006.09i | 0.0589341i | |||||||||
−6477.16 | − | 10295.3i | −0.378558 | − | 0.601709i | |||||
−7480.12 | − | 29706.9i | −0.436190 | − | 1.73231i | |||||
−11223.9 | − | 3925.01i | −0.653028 | − | 0.228365i | |||||
− | 11819.2i | − | 0.686119i | |||||||
944.645 | + | 752.741i | 0.0547147 | + | 0.0435995i | |||||
− | 274.188i | − | 0.0158456i | |||||||
−8308.05 | − | 2905.34i | −0.479057 | − | 0.167527i | |||||
8464.21i | 0.486970i | |||||||||
159.673 | − | 1429.36i | 0.00916594 | − | 0.0820517i | |||||
26244.4i | 1.50319i | 0.659624 | + | 0.751595i | ||||||
−0.659624 | + | 0.751595i | ||||||||
−9010.83 | + | 25767.2i | −0.514961 | + | 1.47257i | |||||
− | 224.091i | − | 0.0127782i | |||||||
−4361.06 | − | 3475.12i | −0.248126 | − | 0.197719i | |||||
−12259.6 | −0.695972 | −0.347986 | − | 0.937500i | ||||||
−0.347986 | + | 0.937500i | ||||||||
395.985 | + | 138.476i | 0.0224302 | + | 0.00784389i | |||||
12387.8 | 0.700146 | |||||||||
23162.5 | − | 14572.4i | 1.30624 | − | 0.821803i | |||||
−808.243 | −0.0454801 | |||||||||
18341.8 | + | 6414.17i | 1.02983 | + | 0.360134i | |||||
− | 9968.98i | − | 0.558495i | −0.960219 | − | 0.279248i | ||||
0.960219 | − | 0.279248i | ||||||||
7376.83 | − | 16249.7i | 0.412369 | − | 0.908366i | |||||
8979.29i | 0.500848i | |||||||||
8207.71 | − | 23470.6i | 0.456810 | − | 1.30629i | |||||
638.389 | 0.0354528 | |||||||||
1375.41 | + | 6004.98i | 0.0762165 | + | 0.332759i | |||||
17655.1 | 0.976203 | |||||||||
−162.488 | + | 464.647i | −0.00896494 | + | 0.0256360i | |||||
−24599.5 | −1.35428 | −0.677142 | − | 0.735852i | ||||||
−0.677142 | + | 0.735852i | ||||||||
−7268.87 | − | 5792.20i | −0.399308 | − | 0.318189i | |||||
− | 18404.3i | − | 1.00883i | |||||||
−3502.57 | − | 1224.85i | −0.191579 | − | 0.0669954i | |||||
− | 25299.3i | − | 1.38080i | |||||||
1007.71 | − | 633.991i | 0.0548812 | − | 0.0345278i | |||||
− | 40622.1i | − | 2.20757i | |||||||
−6669.49 | + | 19072.0i | −0.361668 | + | 1.03422i | |||||
264.064i | 0.0142887i | |||||||||
2524.92 | − | 3168.63i | 0.136333 | − | 0.171090i | |||||
14471.8i | 0.779734i | 0.920871 | + | 0.389867i | ||||||
−0.920871 | + | 0.389867i | ||||||||
−497.924 | + | 1423.85i | −0.0267706 | + | 0.0765526i | |||||
3156.24 | + | 12534.8i | 0.169331 | + | 0.672490i | |||||
4866.00 | − | 10133.9i | 0.260503 | − | 0.542525i | |||||
− | 635.424i | − | 0.0339453i | |||||||
8958.25 | + | 3132.71i | 0.477547 | + | 0.166999i | |||||
−34578.1 | −1.83938 | |||||||||
720.746 | + | 574.327i | 0.0382589 | + | 0.0304866i | |||||
18759.1i | 0.993671i | 0.867845 | + | 0.496836i | ||||||
−0.867845 | + | 0.496836i | ||||||||
6070.15 | − | 17358.1i | 0.320857 | − | 0.917518i | |||||
−25600.2 | −1.35033 | |||||||||
−26906.1 | + | 16927.7i | −1.41622 | + | 0.890999i | |||||
− | 17944.3i | − | 0.942523i | |||||||
−2158.41 | − | 754.801i | −0.113133 | − | 0.0395626i | |||||
10107.2i | 0.528655i | |||||||||
−22468.9 | + | 28197.2i | −1.17277 | + | 1.47176i | |||||
369.189 | 0.0192296 | |||||||||
−5272.77 | + | 15077.9i | −0.274064 | + | 0.783709i | |||||
4210.87i | 0.218413i | 0.994019 | + | 0.109206i | ||||||
−0.994019 | + | 0.109206i | ||||||||
19972.0 | − | 4574.48i | 1.03377 | − | 0.236779i | |||||
31085.9i | 1.60569i | |||||||||
−19161.8 | + | 3031.98i | −0.987712 | + | 0.156286i | |||||
−791.172 | −0.0406971 | |||||||||
8139.06 | + | 6485.62i | 0.417798 | + | 0.332923i | |||||
3353.84 | 0.171805 | |||||||||
202.358 | − | 578.658i | 0.0103446 | − | 0.0295813i | |||||
− | 8248.16i | − | 0.420780i | −0.977618 | − | 0.210390i | ||||
0.977618 | − | 0.210390i | ||||||||
−23083.7 | + | 14522.9i | −1.17519 | + | 0.739359i | |||||
19398.5 | 0.985544 | |||||||||
−4926.99 | + | 14089.1i | −0.249803 | + | 0.714331i | |||||
9794.18 | 0.495555 | |||||||||
615.779 | + | 490.684i | 0.0310927 | + | 0.0247762i | |||||
− | 6704.17i | − | 0.337823i | −0.985631 | − | 0.168911i | ||||
0.985631 | − | 0.168911i | ||||||||
6168.91 | − | 17640.5i | 0.310216 | − | 0.887089i | |||||
−1898.05 | −0.0952527 | |||||||||
−10317.3 | − | 1152.54i | −0.516715 | − | 0.0577219i | |||||
5748.26i | 0.287300i | |||||||||
10040.0 | − | 28710.2i | 0.500782 | − | 1.43203i | |||||
−21399.5 | −1.06521 | −0.532606 | − | 0.846363i | ||||||
−0.532606 | + | 0.846363i | ||||||||
−9248.69 | + | 11606.5i | −0.459444 | + | 0.576574i | |||||
794.119 | − | 199.957i | 0.0393694 | − | 0.00991309i | |||||
−13245.4 | + | 37876.2i | −0.655327 | + | 1.87396i | |||||
27163.2 | 1.34121 | 0.670606 | − | 0.741814i | ||||||
0.670606 | + | 0.741814i | ||||||||
1529.94 | − | 962.546i | 0.0753904 | − | 0.0474310i | |||||
−12241.2 | −0.601991 | |||||||||
−25838.5 | − | 9035.75i | −1.26811 | − | 0.443462i | |||||
−14478.8 | −0.709170 | |||||||||
−13977.5 | − | 11138.0i | −0.683244 | − | 0.544444i | |||||
2571.34 | 0.125440 | |||||||||
880.889 | + | 308.048i | 0.0428874 | + | 0.0149978i | |||||
−2808.18 | −0.136448 | −0.0682238 | − | 0.997670i | ||||||
−0.0682238 | + | 0.997670i | ||||||||
13063.1 | − | 2992.03i | 0.633460 | − | 0.145091i | |||||
915.654i | 0.0443138i | |||||||||
−21310.0 | − | 7452.15i | −1.02926 | − | 0.359935i | |||||
− | 14137.0i | − | 0.681455i | |||||||
−2681.10 | − | 2136.44i | −0.128983 | − | 0.102780i | |||||
26808.1i | 1.28713i | 0.765392 | + | 0.643565i | ||||||
−0.765392 | + | 0.643565i | ||||||||
7091.11 | − | 20277.6i | 0.339790 | − | 0.971657i | |||||
321.485 | 0.0153744 | |||||||||
−16105.6 | − | 15386.2i | −0.768701 | − | 0.734364i | |||||
28180.4 | 1.34236 | 0.671182 | − | 0.741293i | ||||||
0.671182 | + | 0.741293i | ||||||||
−242.052 | + | 692.169i | −0.0115074 | + | 0.0329063i | |||||
− | 26035.5i | − | 1.23532i | |||||||
8544.42 | − | 10722.7i | 0.404615 | − | 0.507768i | |||||
− | 32574.5i | − | 1.53952i | |||||||
1839.80 | + | 643.382i | 0.0867817 | + | 0.0303477i | |||||
− | 17475.2i | − | 0.822678i | |||||||
−455.164 | − | 941.488i | −0.0213858 | − | 0.0442357i | |||||
9132.92 | 0.428272 | 0.214136 | − | 0.976804i | ||||||
0.214136 | + | 0.976804i | ||||||||
−21683.5 | − | 7582.74i | −1.01483 | − | 0.354887i | |||||
−1720.66 | −0.0803738 | |||||||||
4172.70 | − | 5236.49i | 0.194532 | − | 0.244126i | |||||
12663.5 | 0.589231 | 0.294616 | − | 0.955616i | ||||||
0.294616 | + | 0.955616i | ||||||||
6922.15 | + | 2420.69i | 0.321462 | + | 0.112416i | |||||
5091.91 | 0.236009 | |||||||||
7623.75 | − | 4796.40i | 0.352676 | − | 0.221882i | |||||
1240.07 | 0.0572552 | |||||||||
857.801 | − | 2452.95i | 0.0395291 | − | 0.113037i | |||||
−32063.5 | + | 8073.50i | −1.47470 | + | 0.371326i | |||||
735.309 | + | 585.932i | 0.0337542 | + | 0.0268971i | |||||
−12009.9 | −0.550253 | |||||||||
−5448.28 | + | 15579.8i | −0.249143 | + | 0.712445i | |||||
− | 2837.82i | − | 0.129522i | |||||||
−8937.37 | − | 39020.2i | −0.407133 | − | 1.77753i | |||||
40992.7 | 1.86381 | |||||||||
−469.828 | + | 1343.51i | −0.0213209 | + | 0.0609688i | |||||
− | 37712.8i | − | 1.70815i | −0.520148 | − | 0.854076i | ||||
0.520148 | − | 0.854076i | ||||||||
−2827.89 | + | 3548.84i | −0.127842 | + | 0.160434i | |||||
765.604 | 0.0345453 | |||||||||
−10547.5 | + | 30161.4i | −0.475017 | + | 1.35835i | |||||
18078.7 | 0.812648 | |||||||||
−7125.93 | − | 11326.5i | −0.319708 | − | 0.508168i | |||||
− | 14930.2i | − | 0.668584i | |||||||
6273.26 | − | 17938.9i | 0.280390 | − | 0.801798i | |||||
1383.33 | 0.0617126 | |||||||||
17617.0 | − | 22108.3i | 0.784445 | − | 0.984431i | |||||
4970.27 | 0.220898 | 0.110449 | − | 0.993882i | ||||||
0.110449 | + | 0.993882i | ||||||||
−166.796 | + | 1853.68i | −0.00739915 | + | 0.0822298i | |||||
− | 21306.0i | − | 0.943369i | |||||||
327.049 | − | 2927.67i | 0.0144536 | − | 0.129386i | |||||
37839.4i | 1.66915i | |||||||||
−2481.56 | + | 7096.22i | −0.109260 | + | 0.312439i | |||||
9748.12 | 0.428398 | |||||||||
418.191 | + | 333.236i | 0.0183439 | + | 0.0146173i | |||||
21213.5i | 0.928792i | |||||||||
−32353.6 | − | 11314.1i | −1.41390 | − | 0.494444i | |||||
− | 916.023i | − | 0.0399573i | |||||||
−21280.2 | + | 13388.2i | −0.926530 | + | 0.582915i | |||||
−20762.7 | −0.902321 | −0.451160 | − | 0.892443i | ||||||
−0.451160 | + | 0.892443i | ||||||||
8031.45 | − | 22966.6i | 0.348391 | − | 0.996251i | |||||
36963.0i | 1.60043i | 0.599715 | + | 0.800214i | ||||||
−0.599715 | + | 0.800214i | ||||||||
31974.9 | − | 40126.6i | 1.38190 | − | 1.73420i | |||||
666.411 | 0.0287479 | |||||||||
9149.34 | + | 3199.54i | 0.393961 | + | 0.137769i | |||||
32981.8i | 1.41755i | |||||||||
−1620.59 | + | 371.188i | −0.0695247 | + | 0.0159242i | |||||
−1946.56 | − | 7730.66i | −0.0833555 | − | 0.331042i | |||||
−808.105 | + | 2310.84i | −0.0345412 | + | 0.0987734i | |||||
32463.8i | 1.38508i | |||||||||
−29689.0 | − | 23657.7i | −1.26437 | − | 1.00752i | |||||
10288.3i | 0.437351i | 0.975798 | + | 0.218675i | ||||||
−0.975798 | + | 0.218675i | ||||||||
180.080 | − | 514.953i | 0.00764113 | − | 0.0218504i | |||||
− | 28596.2i | − | 1.21118i | −0.795777 | − | 0.605590i | ||||
0.795777 | − | 0.605590i | ||||||||
12036.1 | + | 19131.1i | 0.508856 | + | 0.808815i | |||||
91.2253i | 0.00384977i | |||||||||
37490.4 | + | 13110.5i | 1.57925 | + | 0.552266i | |||||
24872.9i | 1.04585i | 0.852379 | + | 0.522924i | ||||||
−0.852379 | + | 0.522924i | ||||||||
−7701.27 | + | 9664.63i | −0.323234 | + | 0.405639i | |||||
−25851.3 | −1.08306 | −0.541528 | − | 0.840683i | ||||||
−0.541528 | + | 0.840683i | ||||||||
−5965.38 | + | 17058.5i | −0.249471 | + | 0.713384i | |||||
−1318.25 | −0.0550295 | |||||||||
−8583.25 | + | 17875.5i | −0.357657 | + | 0.744857i | |||||
−63642.3 | −2.64715 | |||||||||
−507.377 | + | 1450.89i | −0.0210660 | + | 0.0602399i | |||||
− | 1794.59i | − | 0.0743764i | |||||||
−6013.35 | + | 13246.2i | −0.248775 | + | 0.548002i | |||||
− | 4308.47i | − | 0.177924i | |||||||
27836.0 | + | 9734.28i | 1.14747 | + | 0.401271i | |||||
182.166 | 0.00749590 | 0.00374795 | − | 0.999993i | ||||||
0.00374795 | + | 0.999993i | ||||||||
−1808.68 | + | 1137.91i | −0.0742921 | + | 0.0467400i | |||||
18083.1 | 0.741446 | |||||||||
−21603.6 | − | 7554.81i | −0.884215 | − | 0.309211i | |||||
1376.17 | 0.0562254 | |||||||||
19895.3 | − | 24967.4i | 0.811403 | − | 1.01826i | |||||
8284.92i | 0.337290i | |||||||||
5265.90 | − | 15058.3i | 0.214002 | − | 0.611955i | |||||
− | 26418.7i | − | 1.07173i | |||||||
6513.67 | + | 28438.5i | 0.263774 | + | 1.15163i | |||||
− | 1925.43i | − | 0.0778333i | |||||||
−4420.96 | − | 1546.01i | −0.178397 | − | 0.0623857i | |||||
− | 8951.04i | − | 0.360561i | |||||||
−696.234 | + | 873.731i | −0.0279960 | + | 0.0351333i | |||||
27467.2i | 1.10253i | 0.834330 | + | 0.551266i | ||||||
−0.834330 | + | 0.551266i | ||||||||
32030.5 | + | 11201.1i | 1.28344 | + | 0.448822i | |||||
−25711.5 | + | 6474.07i | −1.02844 | + | 0.258957i | |||||
1582.47 | − | 995.591i | 0.0631865 | − | 0.0397531i | |||||
37989.6i | 1.51424i | 0.653278 | + | 0.757118i | ||||||
−0.653278 | + | 0.757118i | ||||||||
202.700 | − | 579.638i | 0.00806535 | − | 0.0230635i | |||||
−15744.7 | −0.625382 | −0.312691 | − | 0.949855i | ||||||
−0.312691 | + | 0.949855i | ||||||||
5703.98 | − | 7158.15i | 0.226168 | − | 0.283827i | |||||
3172.04i | 0.125555i | |||||||||
13275.6 | + | 4642.50i | 0.524558 | + | 0.183439i | |||||
−18939.0 | −0.747033 | −0.373517 | − | 0.927624i | ||||||
−0.373517 | + | 0.927624i | ||||||||
−2477.22 | − | 276.729i | −0.0975427 | − | 0.0108964i | |||||
13809.0i | 0.542799i | |||||||||
−4590.34 | + | 13126.5i | −0.180123 | + | 0.515075i | |||||
1388.88i | 0.0544045i | |||||||||
48545.3 | − | 60921.4i | 1.89831 | − | 2.38227i | |||||
20868.4 | 0.814629 | |||||||||
−1669.70 | − | 583.898i | −0.0650669 | − | 0.0227540i | |||||
− | 10139.5i | − | 0.394447i | |||||||
−10080.6 | − | 16022.9i | −0.391483 | − | 0.622253i | |||||
− | 10721.7i | − | 0.415662i | |||||||
13380.1 | + | 1203.96i | 0.517837 | + | 0.0465957i | |||||
40217.0 | 1.55381 | |||||||||
565.115 | − | 709.185i | 0.0217962 | − | 0.0273529i | |||||
−21287.1 | −0.819630 | −0.409815 | − | 0.912169i | ||||||
−0.409815 | + | 0.912169i | ||||||||
−26618.0 | − | 9308.36i | −1.02314 | − | 0.357793i | |||||
− | 697.236i | − | 0.0267545i | |||||||
−16280.5 | + | 3728.96i | −0.623655 | + | 0.142845i | |||||
−32856.5 | −1.25649 | −0.628243 | − | 0.778017i | ||||||
−0.628243 | + | 0.778017i | ||||||||
−44980.0 | − | 15729.6i | −1.71718 | − | 0.600501i | |||||
7030.80 | 0.267956 | 0.133978 | − | 0.990984i | ||||||
0.133978 | + | 0.990984i | ||||||||
24655.2 | + | 19646.5i | 0.938058 | + | 0.747492i | |||||
− | 1369.24i | − | 0.0520072i | |||||||
−34586.9 | − | 12095.1i | −1.31148 | − | 0.458626i | |||||
−13987.6 | −0.529492 | −0.264746 | − | 0.964318i | ||||||
−0.264746 | + | 0.964318i | ||||||||
763.172 | − | 480.141i | 0.0288405 | − | 0.0181447i | |||||
31601.0i | 1.19220i | |||||||||
44581.4 | + | 15590.2i | 1.67907 | + | 0.587173i | |||||
−15890.4 | −0.597471 | |||||||||
−6719.22 | − | 5354.22i | −0.252216 | − | 0.200978i | |||||
−16817.1 | + | 4234.49i | −0.630193 | + | 0.158681i | |||||
702.021 | + | 245.498i | 0.0262630 | + | 0.00918420i | |||||
53567.5 | 2.00063 | |||||||||
−31909.7 | − | 31824.8i | −1.18976 | − | 1.18660i | |||||
−567.075 | −0.0211082 | |||||||||
−1860.32 | + | 5319.72i | −0.0691309 | + | 0.197685i | |||||
64482.5 | 2.39223 | |||||||||
−2742.46 | − | 2185.33i | −0.101572 | − | 0.0809381i | |||||
46383.4 | 1.71504 | |||||||||
−8184.27 | + | 23403.6i | −0.302113 | + | 0.863918i | |||||
−764.794 | −0.0281847 | |||||||||
11126.1 | − | 6999.86i | 0.409346 | − | 0.257535i | |||||
− | 15462.2i | − | 0.567934i | |||||||
−283.518 | + | 810.743i | −0.0103965 | + | 0.0297297i | |||||
32555.9i | 1.19184i | 0.803043 | + | 0.595922i | ||||||
−0.803043 | + | 0.595922i | ||||||||
−15783.0 | + | 19806.7i | −0.576847 | + | 0.723909i | |||||
29927.4i | 1.09200i | |||||||||
38248.0 | + | 13375.4i | 1.39330 | + | 0.487241i | |||||
42685.1 | 1.55238 | 0.776191 | − | 0.630498i | ||||||
0.776191 | + | 0.630498i | ||||||||
615.070 | + | 1205.38i | 0.0223323 | + | 0.0437655i | |||||
11802.6 | 0.427830 | |||||||||
34473.6 | + | 12055.5i | 1.24758 | + | 0.436280i | |||||
− | 1169.83i | − | 0.0422658i | |||||||
12466.2 | − | 15644.3i | 0.449666 | − | 0.564304i | |||||
61338.1i | 2.20890i | |||||||||
−1308.15 | + | 3740.75i | −0.0470319 | + | 0.134491i | |||||
− | 26396.2i | − | 0.947477i | −0.880666 | − | 0.473739i | ||||
0.880666 | − | 0.473739i | ||||||||
8213.61 | + | 13055.3i | 0.294342 | + | 0.467850i | |||||
−261.525 | −0.00935672 | |||||||||
13575.1 | − | 38819.1i | 0.484893 | − | 1.38659i | |||||
21184.5 | 0.755468 | |||||||||
1091.45 | + | 869.725i | 0.0388595 | + | 0.0309652i | |||||
2539.97 | 0.0902849 | |||||||||
−5384.64 | + | 15397.8i | −0.191091 | + | 0.546440i | |||||
26905.0 | 0.953264 | |||||||||
4141.65 | − | 37075.2i | 0.146505 | − | 1.31148i | |||||
−15313.5 | −0.540818 | −0.270409 | − | 0.962746i | ||||||
−0.270409 | + | 0.962746i | ||||||||
−2535.00 | − | 886.492i | −0.0893826 | − | 0.0312572i | |||||
12648.7 | + | 50233.7i | 0.445267 | + | 1.76836i | |||||
6471.14 | + | 5156.53i | 0.227435 | + | 0.181232i | |||||
−644.977 | −0.0226320 | |||||||||
−10086.1 | − | 3527.11i | −0.353347 | − | 0.123566i | |||||
26553.7i | 0.928768i | |||||||||
12569.6 | + | 19979.1i | 0.438942 | + | 0.697688i | |||||
13341.6 | 0.465156 | 0.232578 | − | 0.972578i | ||||||
0.232578 | + | 0.972578i | ||||||||
21752.7 | + | 7606.96i | 0.757198 | + | 0.264793i | |||||
2688.99i | 0.0934523i | |||||||||
−15571.7 | − | 12408.3i | −0.540310 | − | 0.430546i | |||||
50527.3 | 1.75042 | 0.875209 | − | 0.483745i | ||||||
0.875209 | + | 0.483745i | ||||||||
−2350.89 | − | 822.108i | −0.0813121 | − | 0.0284350i | |||||
22896.3 | 0.790675 | |||||||||
28148.8 | − | 6447.33i | 0.970515 | − | 0.222291i | |||||
5093.42i | 0.175332i | |||||||||
−5642.71 | − | 1973.26i | −0.193933 | − | 0.0678185i | |||||
−24534.8 | −0.841895 | −0.420947 | − | 0.907085i | ||||||
−0.420947 | + | 0.907085i | ||||||||
1209.78 | − | 1518.20i | 0.0414469 | − | 0.0520134i | |||||
−17194.9 | −0.588168 | |||||||||
−341.639 | + | 3796.78i | −0.0116676 | + | 0.129667i | |||||
1580.22i | 0.0538825i | |||||||||
−60645.6 | + | 38154.5i | −2.06464 | + | 1.29894i | |||||
− | 42716.0i | − | 1.45195i | −0.687723 | − | 0.725974i | ||||
0.687723 | − | 0.725974i | ||||||||
32782.0 | + | 11463.9i | 1.11253 | + | 0.389054i | |||||
−20370.5 | −0.690234 | |||||||||
7209.36 | − | 9047.32i | 0.243899 | − | 0.306079i | |||||
1155.25i | 0.0390219i | |||||||||
−15226.8 | + | 43542.2i | −0.513523 | + | 1.46846i | |||||
− | 23510.2i | − | 0.791641i | |||||||
−672.523 | + | 1400.60i | −0.0226100 | + | 0.0470876i | |||||
68108.4 | 2.28621 | |||||||||
−16138.7 | − | 5643.74i | −0.540887 | − | 0.189149i | |||||
− | 2225.50i | − | 0.0744712i | |||||||
−15449.7 | + | 19388.4i | −0.516182 | + | 0.647778i | |||||
−9948.01 | −0.331853 | |||||||||
425.437 | − | 1216.57i | 0.0141700 | − | 0.0405202i | |||||
− | 15724.2i | − | 0.522912i | −0.965215 | − | 0.261456i | ||||
0.965215 | − | 0.261456i | ||||||||
−10229.0 | − | 16258.7i | −0.339641 | − | 0.539851i | |||||
2086.31 | − | 525.327i | 0.0691661 | − | 0.0174158i | |||||
−12632.0 | − | 4417.42i | −0.418132 | − | 0.146221i | |||||
− | 11018.1i | − | 0.364148i | −0.983285 | − | 0.182074i | ||||
0.983285 | − | 0.182074i | ||||||||
−2774.76 | + | 3482.16i | −0.0915643 | + | 0.114908i | |||||
66240.3i | 2.18249i | |||||||||
20747.3 | + | 7255.37i | 0.682533 | + | 0.238683i | |||||
− | 160.914i | − | 0.00528552i | |||||||
24049.3 | − | 5508.37i | 0.788730 | − | 0.180654i | |||||
20874.0i | 0.683540i | 0.939784 | + | 0.341770i | ||||||
−0.939784 | + | 0.341770i | ||||||||
661.450 | − | 1891.47i | 0.0216266 | − | 0.0618431i | |||||
− | 30845.4i | − | 1.00697i | |||||||
−37064.3 | + | 46513.5i | −1.20814 | + | 1.51614i | |||||
−22533.8 | −0.733383 | |||||||||
−45090.5 | − | 15768.2i | −1.46527 | − | 0.512407i | |||||
19012.5 | 0.616891 | 0.308445 | − | 0.951242i | ||||||
0.308445 | + | 0.951242i | ||||||||
1228.18 | + | 1952.16i | 0.0397895 | + | 0.0632444i | |||||
6741.90 | 0.218086 | |||||||||
−55985.7 | − | 19578.3i | −1.80826 | − | 0.632353i | |||||
1663.71i | 0.0536541i | |||||||||
10607.1 | − | 23365.3i | 0.341555 | − | 0.752377i | |||||
5520.41i | 0.177491i | |||||||||
−6562.89 | + | 18767.1i | −0.210689 | + | 0.602483i | |||||
35028.4 | 1.12282 | 0.561410 | − | 0.827538i | ||||||
0.561410 | + | 0.827538i | ||||||||
6287.99 | − | 56288.8i | 0.201254 | − | 1.80158i | |||||
−1030.18 | −0.0329222 | |||||||||
−15893.3 | + | 45448.2i | −0.507147 | + | 1.45023i | |||||
−42000.2 | −1.33819 | |||||||||
684.216 | − | 858.651i | 0.0217673 | − | 0.0273167i | |||||
− | 17746.0i | − | 0.563711i | −0.959457 | − | 0.281856i | ||||
0.959457 | − | 0.281856i | ||||||||
2567.23 | + | 897.766i | 0.0814273 | + | 0.0284752i | |||||
− | 2149.17i | − | 0.0680648i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 152.4.b.b.75.52 | yes | 56 | |
4.3 | odd | 2 | 608.4.b.b.303.27 | 56 | |||
8.3 | odd | 2 | inner | 152.4.b.b.75.6 | yes | 56 | |
8.5 | even | 2 | 608.4.b.b.303.28 | 56 | |||
19.18 | odd | 2 | inner | 152.4.b.b.75.5 | ✓ | 56 | |
76.75 | even | 2 | 608.4.b.b.303.29 | 56 | |||
152.37 | odd | 2 | 608.4.b.b.303.30 | 56 | |||
152.75 | even | 2 | inner | 152.4.b.b.75.51 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
152.4.b.b.75.5 | ✓ | 56 | 19.18 | odd | 2 | inner | |
152.4.b.b.75.6 | yes | 56 | 8.3 | odd | 2 | inner | |
152.4.b.b.75.51 | yes | 56 | 152.75 | even | 2 | inner | |
152.4.b.b.75.52 | yes | 56 | 1.1 | even | 1 | trivial | |
608.4.b.b.303.27 | 56 | 4.3 | odd | 2 | |||
608.4.b.b.303.28 | 56 | 8.5 | even | 2 | |||
608.4.b.b.303.29 | 56 | 76.75 | even | 2 | |||
608.4.b.b.303.30 | 56 | 152.37 | odd | 2 |