Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,4,Mod(43,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 0, 3]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.43");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 120.v (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: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 43.9 | ||
Character | 120.43 | ||
Dual form | 120.4.v.a.67.9 |
-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 .
−1.97204 | − | 2.02758i | −0.697221 | − | 0.716856i | |||||
2.12132 | + | 2.12132i | 0.408248 | + | 0.408248i | |||||
−0.222122 | + | 7.99692i | −0.0277653 | + | 0.999614i | |||||
−8.64040 | − | 7.09531i | −0.772821 | − | 0.634624i | |||||
0.117809 | − | 8.48446i | 0.00801592 | − | 0.577295i | |||||
4.53056 | + | 4.53056i | 0.244627 | + | 0.244627i | 0.818761 | − | 0.574134i | ||
−0.574134 | + | 0.818761i | ||||||||
16.6524 | − | 15.3199i | 0.735938 | − | 0.677049i | |||||
9.00000i | 0.333333i | |||||||||
2.65294 | + | 31.5113i | 0.0838932 | + | 0.996475i | |||||
−12.4278 | −0.340648 | −0.170324 | − | 0.985388i | ||||||
−0.170324 | + | 0.985388i | ||||||||
−17.4352 | + | 16.4928i | −0.419426 | + | 0.396756i | |||||
−52.8453 | + | 52.8453i | −1.12743 | + | 1.12743i | −0.136842 | + | 0.990593i | ||
−0.990593 | + | 0.136842i | ||||||||
0.251609 | − | 18.1205i | 0.00480324 | − | 0.345922i | |||||
−3.27763 | − | 33.3805i | −0.0564188 | − | 0.574587i | |||||
−63.9013 | − | 3.55259i | −0.998458 | − | 0.0555092i | |||||
−40.2091 | + | 40.2091i | −0.573655 | + | 0.573655i | −0.933148 | − | 0.359493i | ||
0.359493 | + | 0.933148i | ||||||||
18.2482 | − | 17.7484i | 0.238952 | − | 0.232407i | |||||
31.1052i | 0.375580i | 0.982209 | + | 0.187790i | ||||||
−0.982209 | + | 0.187790i | ||||||||
58.6598 | − | 67.5205i | 0.655837 | − | 0.754903i | |||||
19.2216i | 0.199737i | |||||||||
24.5081 | + | 25.1983i | 0.237507 | + | 0.244196i | |||||
−58.1146 | + | 58.1146i | −0.526858 | + | 0.526858i | −0.919634 | − | 0.392776i | ||
0.392776 | + | 0.919634i | ||||||||
67.8234 | + | 2.82670i | 0.576849 | + | 0.0240416i | |||||
24.3131 | + | 122.613i | 0.194505 | + | 0.980902i | |||||
211.361 | + | 2.93481i | 1.59428 | + | 0.0221371i | |||||
−19.0919 | + | 19.0919i | −0.136083 | + | 0.136083i | |||||
−37.2369 | + | 35.2242i | −0.251325 | + | 0.237741i | |||||
−52.1723 | −0.334075 | −0.167037 | − | 0.985951i | ||||||
−0.167037 | + | 0.985951i | ||||||||
−61.2178 | + | 72.4733i | −0.372560 | + | 0.441058i | |||||
189.156i | 1.09592i | 0.836505 | + | 0.547960i | ||||||
−0.836505 | + | 0.547960i | ||||||||
118.813 | + | 136.571i | 0.656354 | + | 0.754453i | |||||
−26.3634 | − | 26.3634i | −0.139069 | − | 0.139069i | |||||
160.821 | + | 2.23305i | 0.811193 | + | 0.0112637i | |||||
−7.00013 | − | 71.2917i | −0.0338068 | − | 0.344300i | |||||
−71.9722 | − | 1.99910i | −0.333205 | − | 0.00925510i | |||||
−36.5762 | − | 36.5762i | −0.162516 | − | 0.162516i | 0.621164 | − | 0.783680i | ||
−0.783680 | + | 0.621164i | ||||||||
63.0681 | − | 61.3407i | 0.269237 | − | 0.261862i | |||||
−224.204 | −0.920547 | |||||||||
−252.582 | + | 14.2159i | −0.998420 | + | 0.0561934i | |||||
459.943 | 1.75197 | 0.875987 | − | 0.482334i | ||||||
0.875987 | + | 0.482334i | ||||||||
38.9732 | − | 37.9057i | 0.143183 | − | 0.139261i | |||||
−243.635 | − | 243.635i | −0.864047 | − | 0.864047i | 0.127759 | − | 0.991805i | ||
−0.991805 | + | 0.127759i | ||||||||
2.76050 | − | 99.3842i | 0.00945819 | − | 0.340517i | |||||
63.8578 | − | 77.7636i | 0.211541 | − | 0.257607i | |||||
232.436 | + | 3.22745i | 0.745018 | + | 0.0103448i | |||||
−323.620 | − | 323.620i | −1.00436 | − | 1.00436i | −0.999990 | − | 0.00436910i | ||
−0.00436910 | − | 0.999990i | ||||||||
−128.019 | − | 143.091i | −0.384957 | − | 0.430280i | |||||
− | 301.948i | − | 0.880315i | |||||||
200.660 | − | 291.094i | 0.567552 | − | 0.823337i | |||||
−170.593 | −0.468388 | |||||||||
−410.861 | − | 434.338i | −1.09570 | − | 1.15830i | |||||
−157.044 | + | 157.044i | −0.407012 | + | 0.407012i | −0.880695 | − | 0.473683i | ||
0.473683 | + | 0.880695i | ||||||||
76.3602 | + | 1.06029i | 0.192432 | + | 0.00267197i | |||||
107.381 | + | 88.1792i | 0.263260 | + | 0.216183i | |||||
144.852 | + | 6.03707i | 0.345655 | + | 0.0144060i | |||||
−65.9841 | + | 65.9841i | −0.153330 | + | 0.153330i | |||||
102.886 | + | 105.783i | 0.232924 | + | 0.239483i | |||||
− | 509.630i | − | 1.12454i | −0.826952 | − | 0.562272i | ||||
0.826952 | − | 0.562272i | ||||||||
267.669 | − | 18.7964i | 0.575932 | − | 0.0404434i | |||||
60.4041i | 0.126786i | 0.997989 | + | 0.0633931i | ||||||
−0.997989 | + | 0.0633931i | ||||||||
383.529 | − | 373.024i | 0.785617 | − | 0.764098i | |||||
−40.7751 | + | 40.7751i | −0.0815425 | + | 0.0815425i | |||||
42.6036 | − | 510.224i | 0.0832102 | − | 0.996532i | |||||
831.559 | − | 81.6508i | 1.58680 | − | 0.155808i | |||||
−1.46411 | + | 105.443i | −0.00273061 | + | 0.196654i | |||||
−508.552 | + | 508.552i | −0.927306 | + | 0.927306i | −0.997531 | − | 0.0702255i | ||
0.0702255 | + | 0.997531i | ||||||||
−312.618 | − | 330.480i | −0.557507 | − | 0.589362i | |||||
−246.559 | −0.430178 | |||||||||
−130.745 | + | 154.783i | −0.223243 | + | 0.264288i | |||||
433.818i | 0.725137i | 0.931957 | + | 0.362569i | ||||||
−0.931957 | + | 0.362569i | ||||||||
137.879 | + | 149.871i | 0.225683 | + | 0.245313i | |||||
490.722 | + | 490.722i | 0.786777 | + | 0.786777i | 0.980964 | − | 0.194187i | ||
−0.194187 | + | 0.980964i | ||||||||
−2.03129 | + | 146.291i | −0.00319099 | + | 0.229810i | |||||
−208.525 | + | 311.677i | −0.321045 | + | 0.479858i | |||||
−248.746 | − | 6.90916i | −0.375435 | − | 0.0104281i | |||||
−56.3050 | − | 56.3050i | −0.0833319 | − | 0.0833319i | |||||
442.138 | + | 454.590i | 0.641825 | + | 0.659899i | |||||
1095.03 | 1.55950 | 0.779752 | − | 0.626088i | ||||||
0.779752 | + | 0.626088i | ||||||||
526.926 | + | 484.096i | 0.736402 | + | 0.676544i | |||||
−81.0000 | −0.111111 | |||||||||
−907.025 | − | 932.568i | −1.22151 | − | 1.25591i | |||||
−665.401 | − | 665.401i | −0.879967 | − | 0.879967i | 0.113564 | − | 0.993531i | ||
−0.993531 | + | 0.113564i | ||||||||
−153.713 | − | 4.26954i | −0.199660 | − | 0.00554577i | |||||
632.719 | − | 62.1267i | 0.807388 | − | 0.0792775i | |||||
−13.5305 | + | 974.447i | −0.0169655 | + | 1.22183i | |||||
−110.674 | − | 110.674i | −0.136385 | − | 0.136385i | |||||
−206.953 | + | 190.392i | −0.250696 | + | 0.230635i | |||||
667.040i | 0.794451i | 0.917721 | + | 0.397226i | ||||||
−0.917721 | + | 0.397226i | ||||||||
−283.602 | + | 23.8764i | −0.332158 | + | 0.0279644i | |||||
−478.838 | −0.551603 | |||||||||
−451.829 | − | 477.646i | −0.512027 | − | 0.541283i | |||||
−401.261 | + | 401.261i | −0.447407 | + | 0.447407i | |||||
−17.9726 | + | 1294.36i | −0.0197205 | + | 1.42024i | |||||
220.701 | − | 268.761i | 0.238352 | − | 0.290256i | |||||
−37.6700 | + | 541.750i | −0.0400487 | + | 0.575960i | |||||
483.335 | − | 483.335i | 0.505930 | − | 0.505930i | −0.407345 | − | 0.913275i | ||
0.913275 | + | 0.407345i | ||||||||
−612.222 | + | 595.453i | −0.631059 | + | 0.613774i | |||||
− | 111.850i | − | 0.113549i | |||||||
−985.924 | + | 167.195i | −0.985924 | + | 0.167195i | |||||
− | 359.937i | − | 0.354604i | −0.984156 | − | 0.177302i | ||||
0.984156 | − | 0.177302i | ||||||||
336.416 | + | 345.890i | 0.326570 | + | 0.335767i | |||||
764.676 | − | 764.676i | 0.731512 | − | 0.731512i | −0.239407 | − | 0.970919i | ||
0.970919 | + | 0.239407i | ||||||||
−70.4174 | + | 1689.58i | −0.0663942 | + | 1.59305i | |||||
136.383 | − | 166.082i | 0.126758 | − | 0.154361i | |||||
628.116 | + | 8.72159i | 0.575547 | + | 0.00799165i | |||||
−517.656 | + | 517.656i | −0.467698 | + | 0.467698i | −0.901168 | − | 0.433470i | ||
0.433470 | + | 0.901168i | ||||||||
−148.435 | − | 156.917i | −0.132252 | − | 0.139809i | |||||
2149.97 | 1.88926 | 0.944632 | − | 0.328132i | ||||||
0.944632 | + | 0.328132i | ||||||||
−32.9702 | − | 391.617i | −0.0285781 | − | 0.339447i | |||||
− | 155.180i | − | 0.132694i | |||||||
−273.414 | − | 305.604i | −0.230671 | − | 0.257829i | |||||
843.602 | + | 843.602i | 0.702296 | + | 0.702296i | 0.964903 | − | 0.262607i | ||
−0.262607 | + | 0.964903i | ||||||||
263.911 | + | 3.66449i | 0.216820 | + | 0.00301062i | |||||
914.475 | − | 89.7924i | 0.741524 | − | 0.0728103i | |||||
11.5886 | − | 417.218i | 0.00927567 | − | 0.333946i | |||||
−475.608 | − | 475.608i | −0.375812 | − | 0.375812i | |||||
−1033.31 | + | 1005.01i | −0.806137 | + | 0.784056i | |||||
−364.340 | −0.280664 | |||||||||
−565.965 | − | 505.652i | −0.430544 | − | 0.384662i | |||||
−1176.55 | −0.883959 | |||||||||
122.474 | − | 119.119i | 0.0908874 | − | 0.0883980i | |||||
975.686 | + | 975.686i | 0.715241 | + | 0.715241i | |||||
−1512.67 | − | 42.0159i | −1.09550 | − | 0.0304285i | |||||
659.900 | − | 1231.93i | 0.472186 | − | 0.881499i | |||||
163.085 | + | 2.26448i | 0.115307 | + | 0.00160108i | |||||
−597.375 | − | 597.375i | −0.417390 | − | 0.417390i | 0.466913 | − | 0.884303i | ||
−0.884303 | + | 0.466913i | ||||||||
−1118.53 | + | 919.800i | −0.772386 | + | 0.635153i | |||||
− | 1033.66i | − | 0.705491i | |||||||
−1805.42 | − | 1525.03i | −1.21804 | − | 1.02888i | |||||
−1796.00 | −1.19784 | −0.598921 | − | 0.800808i | ||||||
−0.598921 | + | 0.800808i | ||||||||
216.682 | − | 204.970i | 0.142877 | − | 0.135154i | |||||
−140.924 | + | 140.924i | −0.0918772 | + | 0.0918772i | |||||
2034.01 | + | 28.2429i | 1.31128 | + | 0.0182076i | |||||
300.424 | − | 29.4987i | 0.191529 | − | 0.0188063i | |||||
−53.5794 | + | 1285.58i | −0.0337823 | + | 0.810568i | |||||
−1991.32 | + | 1991.32i | −1.24183 | + | 1.24183i | −0.282583 | + | 0.959243i | ||
−0.959243 | + | 0.282583i | ||||||||
486.225 | + | 499.918i | 0.299929 | + | 0.308376i | |||||
− | 877.478i | − | 0.535444i | −0.963496 | − | 0.267722i | ||||
0.963496 | − | 0.267722i | ||||||||
571.668 | − | 40.1440i | 0.345106 | − | 0.0242342i | |||||
− | 1373.01i | − | 0.820056i | |||||||
879.599 | − | 855.506i | 0.519819 | − | 0.505581i | |||||
656.752 | − | 656.752i | 0.384058 | − | 0.384058i | |||||
31.9733 | − | 575.112i | 0.0185031 | − | 0.332819i | |||||
450.790 | + | 370.179i | 0.258180 | + | 0.212012i | |||||
27.2527 | − | 1962.70i | 0.0154483 | − | 1.11256i | |||||
640.528 | − | 640.528i | 0.359387 | − | 0.359387i | |||||
300.621 | − | 284.372i | 0.166966 | − | 0.157941i | |||||
−852.565 | −0.468757 | −0.234379 | − | 0.972145i | ||||||
−0.234379 | + | 0.972145i | ||||||||
1043.17 | − | 191.839i | 0.567828 | − | 0.104424i | |||||
2744.98i | 1.47936i | 0.672958 | + | 0.739681i | ||||||
−0.672958 | + | 0.739681i | ||||||||
476.527 | + | 517.976i | 0.254286 | + | 0.276404i | |||||
−361.882 | − | 361.882i | −0.191218 | − | 0.191218i | |||||
−3.12695 | + | 225.198i | −0.00163621 | + | 0.117838i | |||||
1342.12 | − | 1634.39i | 0.695497 | − | 0.846950i | |||||
49.8006 | − | 1792.94i | 0.0255592 | − | 0.920192i | |||||
1443.33 | + | 1443.33i | 0.733697 | + | 0.733697i | 0.971350 | − | 0.237653i | ||
−0.237653 | + | 0.971350i | ||||||||
−2159.45 | − | 2220.26i | −1.08732 | − | 1.11794i | |||||
−666.281 | −0.332324 | |||||||||
−57.5795 | − | 2023.04i | −0.0284504 | − | 0.999595i | |||||
−526.584 | −0.257768 | |||||||||
159.735 | + | 164.234i | 0.0774690 | + | 0.0796507i | |||||
2920.30 | + | 2920.30i | 1.40329 | + | 1.40329i | 0.789378 | + | 0.613908i | ||
0.613908 | + | 0.789378i | ||||||||
−102.163 | + | 3678.12i | −0.0486441 | + | 1.75130i | |||||
40.7338 | + | 414.847i | 0.0192189 | + | 0.195732i | |||||
−36.9537 | + | 2661.35i | −0.0172781 | + | 1.24434i | |||||
−448.699 | − | 448.699i | −0.207912 | − | 0.207912i | 0.595467 | − | 0.803380i | ||
−0.803380 | + | 0.595467i | ||||||||
294.472 | + | 320.085i | 0.135232 | + | 0.146994i | |||||
− | 3388.25i | − | 1.54222i | |||||||
−1373.71 | − | 1160.37i | −0.619759 | − | 0.523507i | |||||
−279.947 | −0.125193 | |||||||||
2002.45 | − | 1894.21i | 0.887704 | − | 0.839723i | |||||
−2422.59 | + | 2422.59i | −1.06466 | + | 1.06466i | −0.0668998 | + | 0.997760i | ||
−0.997760 | + | 0.0668998i | ||||||||
−6.14640 | + | 442.654i | −0.00267791 | + | 0.192859i | |||||
−445.353 | + | 665.657i | −0.192374 | + | 0.287537i | |||||
794.154 | + | 44.1509i | 0.340123 | + | 0.0189091i | |||||
1081.09 | − | 1081.09i | 0.459093 | − | 0.459093i | |||||
1352.47 | − | 1315.43i | 0.569507 | − | 0.553908i | |||||
− | 3084.37i | − | 1.28791i | −0.765062 | − | 0.643956i | ||||
0.765062 | − | 0.643956i | ||||||||
607.685 | + | 527.939i | 0.251634 | + | 0.218612i | |||||
2051.43i | 0.842439i | 0.906959 | + | 0.421219i | ||||||
−0.906959 | + | 0.421219i | ||||||||
944.288 | + | 970.880i | 0.384589 | + | 0.395420i | |||||
−128.137 | + | 128.137i | −0.0517602 | + | 0.0517602i | |||||
−77.4389 | + | 1858.05i | −0.0310265 | + | 0.744444i | |||||
56.5136 | + | 575.553i | 0.0224592 | + | 0.228732i | |||||
1604.89 | + | 22.2844i | 0.632668 | + | 0.00878480i | |||||
499.712 | − | 499.712i | 0.195415 | − | 0.195415i | |||||
2659.85 | − | 2516.08i | 1.03186 | − | 0.976086i | |||||
−172.994 | −0.0665792 | |||||||||
−980.165 | + | 82.5201i | −0.374256 | + | 0.0315086i | |||||
− | 391.206i | − | 0.148202i | −0.997251 | − | 0.0741012i | ||||
0.997251 | − | 0.0741012i | ||||||||
1172.73 | − | 991.973i | 0.440803 | − | 0.372862i | |||||
−2085.33 | − | 2085.33i | −0.777749 | − | 0.777749i | 0.201699 | − | 0.979448i | ||
−0.979448 | + | 0.201699i | ||||||||
−1933.15 | − | 26.8424i | −0.715424 | − | 0.00993389i | |||||
1937.21 | + | 1590.79i | 0.711418 | + | 0.584201i | |||||
2414.65 | + | 67.0694i | 0.879975 | + | 0.0244422i | |||||
815.019 | + | 815.019i | 0.294760 | + | 0.294760i | 0.838957 | − | 0.544197i | ||
−0.544197 | + | 0.838957i | ||||||||
−226.785 | + | 220.573i | −0.0813985 | + | 0.0791690i | |||||
−1675.60 | −0.596886 | −0.298443 | − | 0.954428i | ||||||
−0.298443 | + | 0.954428i | ||||||||
2283.28 | + | 1669.32i | 0.807262 | + | 0.590194i | |||||
−2157.60 | −0.757142 | |||||||||
−729.799 | + | 709.809i | −0.254200 | + | 0.247238i | |||||
−236.370 | − | 236.370i | −0.0817238 | − | 0.0817238i | |||||
37.8925 | − | 1364.22i | 0.0130049 | − | 0.468207i | |||||
−3974.09 | − | 3263.44i | −1.35396 | − | 1.11185i | |||||
−3058.41 | − | 42.4670i | −1.03441 | − | 0.0143632i | |||||
−523.032 | − | 523.032i | −0.175619 | − | 0.175619i | |||||
3564.62 | − | 3189.15i | 1.18828 | − | 1.06311i | |||||
− | 386.570i | − | 0.127941i | |||||||
−605.696 | + | 50.9936i | −0.199033 | + | 0.0167566i | |||||
1254.42 | 0.409277 | 0.204639 | − | 0.978838i | ||||||
0.204639 | + | 0.978838i | ||||||||
−1220.99 | − | 1290.75i | −0.395555 | − | 0.418156i | |||||
−920.267 | + | 920.267i | −0.296036 | + | 0.296036i | |||||
2070.43 | + | 28.7485i | 0.661362 | + | 0.00918322i | |||||
376.438 | + | 3833.77i | 0.119409 | + | 1.21610i | |||||
−25.4403 | + | 610.410i | −0.00801386 | + | 0.192283i | |||||
−856.986 | + | 856.986i | −0.268092 | + | 0.268092i | |||||
−4239.82 | − | 4359.23i | −1.31723 | − | 1.35433i | |||||
2081.96i | 0.642401i | |||||||||
−729.014 | + | 839.133i | −0.223410 | + | 0.257156i | |||||
− | 4249.73i | − | 1.29352i | |||||||
−314.639 | + | 306.020i | −0.0951223 | + | 0.0925169i | |||||
3024.01 | − | 3024.01i | 0.908085 | − | 0.908085i | −0.0880328 | − | 0.996118i | ||
0.996118 | + | 0.0880328i | ||||||||
−80.4528 | + | 1157.03i | −0.0239977 | + | 0.345122i | |||||
−1103.51 | + | 218.818i | −0.326967 | + | 0.0648350i | |||||
46.8502 | − | 3374.08i | 0.0137895 | − | 0.993101i | |||||
−2043.74 | + | 2043.74i | −0.597568 | + | 0.597568i | −0.939665 | − | 0.342097i | ||
0.342097 | + | 0.939665i | ||||||||
−513.013 | − | 542.326i | −0.149014 | − | 0.157528i | |||||
−3898.97 | −1.12511 | −0.562557 | − | 0.826758i | ||||||
−0.562557 | + | 0.826758i | ||||||||
−1985.44 | − | 1677.09i | −0.569201 | − | 0.480801i | |||||
− | 238.882i | − | 0.0680402i | |||||||
−868.794 | + | 799.273i | −0.245858 | + | 0.226185i | |||||
2788.90 | + | 2788.90i | 0.784151 | + | 0.784151i | 0.980528 | − | 0.196377i | ||
−0.196377 | + | 0.980528i | ||||||||
−26.4133 | + | 1902.25i | −0.00737903 | + | 0.531427i | |||||
500.023 | + | 5092.40i | 0.138800 | + | 1.41358i | |||||
4075.46 | + | 113.200i | 1.12411 | + | 0.0312233i | |||||
2322.92 | + | 2322.92i | 0.636665 | + | 0.636665i | |||||
718.493 | + | 738.727i | 0.195685 | + | 0.201196i | |||||
−5389.60 | −1.45868 | −0.729339 | − | 0.684152i | ||||||
−0.729339 | + | 0.684152i | ||||||||
90.8580 | + | 2144.70i | 0.0244369 | + | 0.576833i | |||||
−4663.59 | −1.24651 | −0.623253 | − | 0.782020i | ||||||
−0.623253 | + | 0.782020i | ||||||||
2320.20 | + | 2385.54i | 0.616315 | + | 0.633671i | |||||
−171.827 | − | 171.827i | −0.0453609 | − | 0.0453609i | |||||
−483.047 | − | 13.4171i | −0.126737 | − | 0.00352025i | |||||
−2142.41 | + | 2608.95i | −0.558669 | + | 0.680326i | |||||
54.1856 | − | 3902.37i | 0.0140437 | − | 1.01141i | |||||
−1643.76 | − | 1643.76i | −0.423442 | − | 0.423442i | |||||
2897.85 | + | 3149.91i | 0.741991 | + | 0.806529i | |||||
− | 2823.06i | − | 0.718490i | |||||||
−3799.18 | + | 1091.42i | −0.961126 | + | 0.276110i | |||||
4059.10 | 1.02075 | 0.510374 | − | 0.859952i | ||||||
0.510374 | + | 0.859952i | ||||||||
−317.018 | − | 335.132i | −0.0792470 | − | 0.0837751i | |||||
722.238 | − | 722.238i | 0.179473 | − | 0.179473i | |||||
−33.1758 | + | 2389.27i | −0.00819541 | + | 0.590221i | |||||
1473.99 | + | 1210.41i | 0.361980 | + | 0.297250i | |||||
4070.76 | + | 454.030i | 0.993837 | + | 0.110847i | |||||
−3381.26 | + | 3381.26i | −0.820689 | + | 0.820689i | −0.986207 | − | 0.165517i | ||
0.165517 | + | 0.986207i | ||||||||
−2095.82 | + | 2038.41i | −0.505736 | + | 0.491883i | |||||
− | 331.422i | − | 0.0795117i | |||||||
468.247 | + | 6668.04i | 0.111690 | + | 1.59052i | |||||
− | 469.551i | − | 0.111358i | |||||||
3541.78 | + | 3641.52i | 0.835160 | + | 0.858680i | |||||
1684.34 | − | 1684.34i | 0.394909 | − | 0.394909i | −0.481524 | − | 0.876433i | ||
0.876433 | + | 0.481524i | ||||||||
−842.897 | − | 35.1297i | −0.196503 | − | 0.00818972i | |||||
2471.20 | − | 242.647i | 0.572848 | − | 0.0562480i | |||||
563.642 | + | 7.82635i | 0.129921 | + | 0.00180400i | |||||
−1415.01 | + | 1415.01i | −0.324333 | + | 0.324333i | |||||
−3953.88 | − | 4179.81i | −0.901201 | − | 0.952695i | |||||
7976.91 | 1.80803 | 0.904016 | − | 0.427499i | ||||||
0.904016 | + | 0.427499i | ||||||||
−652.260 | − | 550.960i | −0.147019 | − | 0.124187i | |||||
652.119i | 0.146175i | 0.997326 | + | 0.0730875i | ||||||
−0.997326 | + | 0.0730875i | ||||||||
2712.26 | − | 2426.57i | 0.604614 | − | 0.540928i | |||||
−1015.77 | − | 1015.77i | −0.225191 | − | 0.225191i | |||||
7964.52 | + | 110.590i | 1.75604 | + | 0.0243831i | |||||
−302.159 | − | 1523.81i | −0.0662577 | − | 0.334142i | |||||
54.7664 | − | 1971.72i | 0.0119440 | − | 0.430012i | |||||
−219.968 | − | 219.968i | −0.0477133 | − | 0.0477133i | 0.682848 | − | 0.730561i | ||
−0.730561 | + | 0.682848i | ||||||||
−1779.15 | + | 1730.42i | −0.383836 | + | 0.373323i | |||||
−1702.41 | −0.365307 | |||||||||
−1208.75 | − | 1079.93i | −0.257987 | − | 0.230494i | |||||
2786.67 | 0.591598 | 0.295799 | − | 0.955250i | ||||||
0.295799 | + | 0.955250i | ||||||||
−2783.87 | + | 2707.62i | −0.587862 | + | 0.571761i | |||||
827.696 | + | 827.696i | 0.173857 | + | 0.173857i | 0.788671 | − | 0.614815i | ||
−0.614815 | + | 0.788671i | ||||||||
−3469.21 | − | 96.3607i | −0.724858 | − | 0.0201336i | |||||
1038.31 | − | 101.951i | 0.215803 | − | 0.0211898i | |||||
−2626.75 | − | 36.4733i | −0.543088 | − | 0.00754095i | |||||
2083.80 | + | 2083.80i | 0.428581 | + | 0.428581i | |||||
−1229.14 | + | 1069.32i | −0.251484 | + | 0.218785i | |||||
1679.45i | 0.341839i | |||||||||
−138.410 | − | 1644.02i | −0.0280266 | − | 0.332897i | |||||
2050.62 | 0.413090 | |||||||||
−4033.27 | + | 3815.27i | −0.808319 | + | 0.764629i | |||||
−1645.09 | + | 1645.09i | −0.328012 | + | 0.328012i | −0.851830 | − | 0.523818i | ||
0.523818 | + | 0.851830i | ||||||||
−2561.87 | − | 35.5723i | −0.508201 | − | 0.00705653i | |||||
−3615.98 | + | 4403.40i | −0.713663 | + | 0.869072i | |||||
−1169.42 | − | 48.7385i | −0.229633 | − | 0.00957050i | |||||
237.270 | − | 237.270i | 0.0463563 | − | 0.0463563i | |||||
1681.29 | + | 1728.64i | 0.326827 | + | 0.336031i | |||||
− | 6142.17i | − | 1.18800i | |||||||
−2446.13 | − | 1736.79i | −0.470759 | − | 0.334245i | |||||
− | 2207.61i | − | 0.422739i | |||||||
5565.66 | − | 5413.22i | 1.06049 | − | 1.03144i | |||||
763.541 | − | 763.541i | 0.144767 | − | 0.144767i | |||||
110.504 | − | 1987.66i | 0.0208481 | − | 0.375001i | |||||
428.586 | − | 521.916i | 0.0804615 | − | 0.0979830i | |||||
−20.0975 | + | 1447.39i | −0.00375456 | + | 0.270398i | |||||
147.043 | − | 147.043i | 0.0273361 | − | 0.0273361i | −0.693307 | − | 0.720643i | ||
0.720643 | + | 0.693307i | ||||||||
462.773 | − | 437.760i | 0.0856135 | − | 0.0809860i | |||||
3244.24 | 0.597277 | |||||||||
−5960.57 | + | 501.820i | −1.09206 | + | 0.0919402i | |||||
− | 3070.62i | − | 0.559869i | −0.960019 | − | 0.279934i | ||||
0.960019 | − | 0.279934i | ||||||||
−3733.53 | + | 3434.77i | −0.677466 | + | 0.623255i | |||||
−4446.65 | − | 4446.65i | −0.803001 | − | 0.803001i | 0.180562 | − | 0.983564i | ||
−0.983564 | + | 0.180562i | ||||||||
80.1567 | − | 5772.77i | 0.0144061 | − | 1.03750i | |||||
641.625 | − | 63.0012i | 0.114767 | − | 0.0112689i | |||||
−243.231 | + | 8756.89i | −0.0433001 | + | 1.55890i | |||||
5560.16 | + | 5560.16i | 0.985142 | + | 0.985142i | 0.999891 | − | 0.0147495i | ||
−0.0147495 | + | 0.999891i | ||||||||
1313.93 | + | 1350.94i | 0.231704 | + | 0.238229i | |||||
648.388 | 0.113802 | |||||||||
−3988.31 | + | 4106.26i | −0.696730 | + | 0.717334i | |||||
−2196.23 | −0.381874 | |||||||||
1038.44 | + | 1067.69i | 0.179721 | + | 0.184783i | |||||
−1250.71 | − | 1250.71i | −0.215454 | − | 0.215454i | |||||
17.9919 | − | 647.750i | 0.00308503 | − | 0.111068i | |||||
−7764.34 | − | 5194.67i | −1.32519 | − | 0.886611i | |||||
162.182 | − | 11680.1i | 0.0275534 | − | 1.98435i | |||||
4560.77 | + | 4560.77i | 0.771289 | + | 0.771289i | |||||
7659.14 | − | 7046.26i | 1.28935 | − | 1.18617i | |||||
− | 2932.37i | − | 0.491388i | |||||||
760.804 | − | 900.685i | 0.126912 | − | 0.150246i | |||||
−3732.10 | −0.619742 | −0.309871 | − | 0.950779i | ||||||
−0.309871 | + | 0.950779i | ||||||||
5468.96 | − | 5173.35i | 0.904060 | − | 0.855195i | |||||
329.186 | − | 329.186i | 0.0541720 | − | 0.0541720i | |||||
−24.9189 | + | 1794.62i | −0.00408234 | + | 0.294004i | |||||
8002.42 | − | 785.759i | 1.30513 | − | 0.128151i | |||||
68.2862 | − | 1228.28i | 0.0110873 | − | 0.199430i | |||||
231.262 | − | 231.262i | 0.0373818 | − | 0.0373818i | −0.688169 | − | 0.725551i | ||
0.725551 | + | 0.688169i | ||||||||
−6869.94 | + | 6681.77i | −1.10555 | + | 1.07527i | |||||
3579.10i | 0.573422i | |||||||||
356.281 | + | 5073.60i | 0.0568296 | + | 0.809278i | |||||
− | 2350.80i | − | 0.373323i | |||||||
552.066 | + | 567.613i | 0.0872874 | + | 0.0897456i | |||||
2921.98 | − | 2921.98i | 0.459977 | − | 0.459977i | |||||
−7789.56 | − | 324.649i | −1.22089 | − | 0.0508834i | |||||
2130.37 | + | 1749.42i | 0.332451 | + | 0.273001i | |||||
9689.43 | + | 134.541i | 1.50551 | + | 0.0209045i | |||||
2975.42 | − | 2975.42i | 0.460314 | − | 0.460314i | −0.438444 | − | 0.898758i | ||
0.898758 | + | 0.438444i | ||||||||
909.636 | − | 860.469i | 0.140120 | − | 0.132546i | |||||
8875.23 | 1.36126 | 0.680630 | − | 0.732627i | ||||||
0.680630 | + | 0.732627i | ||||||||
2227.92 | − | 409.716i | 0.340250 | − | 0.0625720i | |||||
− | 2017.83i | − | 0.306849i | |||||||
−1476.58 | − | 1697.27i | −0.223586 | − | 0.257003i | |||||
5543.31 | + | 5543.31i | 0.835810 | + | 0.835810i | 0.988304 | − | 0.152494i | ||
−0.152494 | + | 0.988304i | ||||||||
−4323.93 | − | 60.0392i | −0.649193 | − | 0.00901426i | |||||
3078.07 | − | 3748.36i | 0.460189 | − | 0.560401i | |||||
−5334.27 | − | 148.165i | −0.794145 | − | 0.0220582i | |||||
−772.882 | − | 772.882i | −0.114580 | − | 0.114580i | |||||
−6253.79 | + | 6082.49i | −0.923248 | + | 0.897960i | |||||
−1090.27 | −0.160285 | −0.0801425 | − | 0.996783i | ||||||
−0.0801425 | + | 0.996783i | ||||||||
−127.943 | − | 2273.24i | −0.0187311 | − | 0.332807i | |||||
5891.47 | 0.858940 | |||||||||
4159.42 | − | 4045.50i | 0.603907 | − | 0.587366i | |||||
−2495.84 | − | 2495.84i | −0.360875 | − | 0.360875i | |||||
106.361 | − | 3829.23i | 0.0153154 | − | 0.551390i | |||||
−758.211 | − | 7721.87i | −0.108730 | − | 1.10735i | |||||
512.497 | + | 7.11618i | 0.0731930 | + | 0.00101631i | |||||
−7890.78 | − | 7890.78i | −1.12233 | − | 1.12233i | −0.991390 | − | 0.130941i | ||
−0.130941 | − | 0.991390i | ||||||||
3920.06 | − | 3507.14i | 0.555291 | − | 0.496800i | |||||
4139.48i | 0.583992i | |||||||||
1055.53 | − | 1249.60i | 0.148309 | − | 0.175577i | |||||
−1423.00 | −0.199133 | |||||||||
−3119.73 | − | 3297.98i | −0.434812 | − | 0.459657i | |||||
−4686.39 | + | 4686.39i | −0.650542 | + | 0.650542i | −0.953123 | − | 0.302582i | ||
0.302582 | + | 0.953123i | ||||||||
−1998.65 | − | 27.7519i | −0.276331 | − | 0.00383695i | |||||
4013.18 | − | 1213.46i | 0.552640 | − | 0.167101i | |||||
−10346.9 | − | 431.231i | −1.41915 | − | 0.0591463i | |||||
2757.06 | − | 2757.06i | 0.376647 | − | 0.376647i | |||||
341.151 | + | 350.758i | 0.0464204 | + | 0.0477277i | |||||
7284.17i | 0.987237i | 0.869679 | + | 0.493618i | ||||||
−0.869679 | + | 0.493618i | ||||||||
2100.24 | + | 1824.63i | 0.283526 | + | 0.246319i | |||||
− | 2534.45i | − | 0.340797i | |||||||
−793.200 | + | 771.474i | −0.106240 | + | 0.103330i | |||||
6182.97 | − | 6182.97i | 0.824896 | − | 0.824896i | −0.161910 | − | 0.986806i | ||
0.986806 | + | 0.161910i | ||||||||
−4323.96 | − | 421.578i | −0.574626 | − | 0.0560249i | |||||
86.9964 | + | 886.000i | 0.0115162 | + | 0.117285i | |||||
−115.811 | + | 8340.53i | −0.0152710 | + | 1.09980i | |||||
2192.72 | − | 2192.72i | 0.288016 | − | 0.288016i | |||||
3757.83 | + | 3972.55i | 0.491688 | + | 0.519782i | |||||
−2699.90 | −0.351903 | −0.175951 | − | 0.984399i | ||||||
−0.175951 | + | 0.984399i | ||||||||
−594.798 | − | 7064.95i | −0.0772276 | − | 0.917302i | |||||
− | 4673.47i | − | 0.604470i | |||||||
−4625.80 | − | 5028.15i | −0.596016 | − | 0.647857i | |||||
−3809.89 | − | 3809.89i | −0.489017 | − | 0.489017i | |||||
45.2628 | − | 3259.76i | 0.00578758 | − | 0.416813i | |||||
−9461.53 | − | 7769.60i | −1.20522 | − | 0.989699i | |||||
894.458 | + | 24.8445i | 0.113506 | + | 0.00315273i | |||||
1077.34 | + | 1077.34i | 0.136197 | + | 0.136197i | 0.771918 | − | 0.635722i | ||
−0.635722 | + | 0.771918i | ||||||||
3304.35 | + | 3397.41i | 0.416161 | + | 0.427881i | |||||
−597.890 | −0.0750174 | |||||||||
−1118.05 | − | 7921.49i | −0.139756 | − | 0.990186i | |||||
9896.69 | 1.23246 | 0.616231 | − | 0.787566i | ||||||
0.616231 | + | 0.787566i | ||||||||
4254.88 | + | 4374.70i | 0.527895 | + | 0.542762i | |||||
−9996.03 | − | 9996.03i | −1.23558 | − | 1.23558i | |||||
2878.38 | + | 79.9500i | 0.354468 | + | 0.00984569i | |||||
699.873 | + | 574.720i | 0.0858690 | + | 0.0705138i | |||||
−13.1270 | + | 945.390i | −0.00160464 | + | 0.115564i | |||||
454.562 | + | 454.562i | 0.0553607 | + | 0.0553607i | |||||
−2840.78 | + | 2613.46i | −0.344704 | + | 0.317121i | |||||
5960.14i | 0.720562i | 0.932844 | + | 0.360281i | ||||||
−0.932844 | + | 0.360281i | ||||||||
1220.20 | + | 14493.4i | 0.146979 | + | 1.74580i | |||||
−8448.46 | −1.01395 | |||||||||
5945.20 | + | 6284.90i | 0.710919 | + | 0.751541i | |||||
2308.91 | − | 2308.91i | 0.275094 | − | 0.275094i | |||||
−29.0470 | + | 2091.92i | −0.00344827 | + | 0.248339i | |||||
1028.11 | + | 10470.6i | 0.121609 | + | 1.23850i | |||||
−13495.8 | − | 938.416i | −1.59059 | − | 0.110600i | |||||
1861.41 | − | 1861.41i | 0.218594 | − | 0.218594i | |||||
−783.799 | + | 762.331i | −0.0917150 | + | 0.0892029i | |||||
2470.57i | 0.288056i | 0.989574 | + | 0.144028i | ||||||
−0.989574 | + | 0.144028i | ||||||||
1297.85 | + | 1127.53i | 0.150782 | + | 0.130995i | |||||
10190.0i | 1.17965i | 0.807532 | + | 0.589824i | ||||||
−0.807532 | + | 0.589824i | ||||||||
−2473.76 | − | 2543.42i | −0.285357 | − | 0.293393i | |||||
2912.58 | − | 2912.58i | 0.334787 | − | 0.334787i | |||||
−209.264 | + | 5021.05i | −0.0239688 | + | 0.575103i | |||||
−5907.76 | − | 3952.54i | −0.674278 | − | 0.451121i | |||||
3680.71 | + | 51.1079i | 0.418618 | + | 0.00581264i | |||||
−273.665 | + | 273.665i | −0.0310154 | + | 0.0310154i | |||||
−4024.67 | − | 4254.64i | −0.454532 | − | 0.480504i | |||||
2786.36 | 0.313582 | |||||||||
7030.91 | − | 8323.61i | 0.788513 | − | 0.933488i | |||||
13623.7i | 1.52258i | 0.648412 | + | 0.761290i | ||||||
−0.648412 | + | 0.761290i | ||||||||
1287.82 | − | 1152.17i | 0.143427 | − | 0.128319i | |||||
6541.91 | + | 6541.91i | 0.726060 | + | 0.726060i | 0.969832 | − | 0.243772i | ||
−0.243772 | + | 0.969832i | ||||||||
3427.61 | + | 47.5935i | 0.379103 | + | 0.00526396i | |||||
171.002 | + | 1741.54i | 0.0188481 | + | 0.191955i | |||||
−477.556 | + | 17193.1i | −0.0524559 | + | 1.88854i | |||||
−1807.67 | − | 1807.67i | −0.197877 | − | 0.197877i | |||||
4221.33 | − | 4105.71i | 0.460509 | − | 0.447895i | |||||
−6238.92 | −0.678286 | −0.339143 | − | 0.940735i | ||||||
−0.339143 | + | 0.940735i | ||||||||
3139.05 | − | 176.673i | 0.340110 | − | 0.0191422i | |||||
2717.53 | 0.293438 | |||||||||
−8616.64 | + | 8380.63i | −0.927266 | + | 0.901868i | |||||
9265.28 | + | 9265.28i | 0.993695 | + | 0.993695i | 0.999980 | − | 0.00628571i | ||
−0.00628571 | + | 0.999980i | ||||||||
1240.96 | + | 34.4689i | 0.132643 | + | 0.00368428i | |||||
4732.86 | − | 5763.50i | 0.504178 | − | 0.613969i | |||||
−12094.9 | − | 167.941i | −1.28410 | − | 0.0178302i | |||||
−1808.56 | − | 1808.56i | −0.191369 | − | 0.191369i | |||||
2504.62 | − | 2118.59i | 0.264135 | − | 0.223424i | |||||
5672.62i | 0.596230i | 0.954530 | + | 0.298115i | ||||||
−0.954530 | + | 0.298115i | ||||||||
2619.84 | + | 1805.94i | 0.274446 | + | 0.189184i | |||||
−5716.08 | −0.596807 | |||||||||
−6933.60 | + | 6558.83i | −0.721525 | + | 0.682526i | |||||
−5822.99 | + | 5822.99i | −0.603947 | + | 0.603947i | |||||
8174.18 | + | 113.501i | 0.845007 | + | 0.0117332i | |||||
4137.35 | + | 3397.51i | 0.426290 | + | 0.350061i | |||||
−87.9251 | + | 2109.66i | −0.00902954 | + | 0.216653i | |||||
6993.10 | − | 6993.10i | 0.715806 | − | 0.715806i | −0.251938 | − | 0.967743i | ||
0.967743 | + | 0.251938i | ||||||||
7688.92 | + | 7905.46i | 0.784454 | + | 0.806545i | |||||
− | 1535.34i | − | 0.156129i | |||||||
514.937 | + | 7332.93i | 0.0521936 | + | 0.743260i | |||||
2825.86i | 0.285496i | 0.989759 | + | 0.142748i | ||||||
−0.989759 | + | 0.142748i | ||||||||
−484.351 | + | 471.085i | −0.0487750 | + | 0.0474391i | |||||
−4393.24 | + | 4393.24i | −0.440975 | + | 0.440975i | −0.892339 | − | 0.451365i | ||
0.451365 | + | 0.892339i | ||||||||
3333.88 | + | 185.347i | 0.333559 | + | 0.0185442i | |||||
6314.14 | − | 619.986i | 0.629701 | − | 0.0618304i | |||||
154.884 | − | 11154.5i | 0.0153967 | − | 1.10885i | |||||
−13479.9 | + | 13479.9i | −1.33571 | + | 1.33571i | −0.435540 | + | 0.900169i | ||
−0.900169 | + | 0.435540i | ||||||||
3909.04 | − | 3697.75i | 0.386101 | − | 0.365232i | |||||
−4608.05 | −0.453689 | |||||||||
9339.16 | − | 11056.2i | 0.916560 | − | 1.08508i | |||||
6123.53i | 0.599061i | |||||||||
−7807.46 | − | 8486.55i | −0.761371 | − | 0.827595i | |||||
3027.85 | + | 3027.85i | 0.294336 | + | 0.294336i | |||||
129.005 | − | 9290.77i | 0.0125009 | − | 0.900293i | |||||
−3813.89 | + | 756.264i | −0.368407 | + | 0.0730522i | |||||
80.9280 | − | 2913.60i | 0.00779271 | − | 0.280556i | |||||
−1413.40 | − | 1413.40i | −0.135671 | − | 0.135671i | |||||
10628.5 | + | 10927.8i | 1.01702 | + | 1.04566i | |||||
−16772.7 | −1.59993 | −0.799965 | − | 0.600047i | ||||||
−0.799965 | + | 0.600047i | ||||||||
4169.37 | − | 4413.66i | 0.396468 | − | 0.419698i | |||||
3865.76 | 0.366452 | |||||||||
9196.78 | + | 9455.78i | 0.869091 | + | 0.893566i | |||||
−1117.05 | − | 1117.05i | −0.105233 | − | 0.105233i | |||||
261.338 | − | 9408.77i | 0.0245434 | − | 0.883618i | |||||
−7605.62 | + | 746.796i | −0.712069 | + | 0.0699181i | |||||
−9.54257 | + | 687.242i | −0.000890658 | + | 0.0641438i | |||||
−8030.17 | − | 8030.17i | −0.747191 | − | 0.747191i | 0.226760 | − | 0.973951i | ||
−0.973951 | + | 0.226760i | ||||||||
925.383 | + | 1005.87i | 0.0858404 | + | 0.0933068i | |||||
12389.8i | 1.14578i | |||||||||
9514.77 | − | 801.049i | 0.877211 | − | 0.0738524i | |||||
−499.341 | −0.0458960 | −0.0229480 | − | 0.999737i | ||||||
−0.0229480 | + | 0.999737i | ||||||||
−8019.20 | + | 7585.75i | −0.734824 | + | 0.695106i | |||||
2097.80 | − | 2097.80i | 0.191644 | − | 0.191644i | |||||
−91.2879 | + | 6574.42i | −0.00831425 | + | 0.598780i | |||||
−793.613 | + | 966.432i | −0.0720611 | + | 0.0877533i | |||||
671.995 | − | 12087.3i | 0.0608336 | − | 1.09423i | |||||
−1965.44 | + | 1965.44i | −0.177388 | + | 0.177388i | |||||
−5723.96 | + | 5567.18i | −0.515054 | + | 0.500946i | |||||
7718.28i | 0.692420i | 0.938157 | + | 0.346210i | ||||||
−0.938157 | + | 0.346210i | ||||||||
9705.08 | + | 5550.81i | 0.868049 | + | 0.496479i | |||||
− | 1903.67i | − | 0.169760i | |||||||
−8004.70 | − | 8230.12i | −0.711688 | − | 0.731730i | |||||
−859.315 | + | 859.315i | −0.0761729 | + | 0.0761729i | −0.744167 | − | 0.667994i | ||
0.667994 | + | 0.744167i | ||||||||
−54.3336 | + | 1303.67i | −0.00480200 | + | 0.115218i | |||||
−2553.86 | + | 3110.00i | −0.225040 | + | 0.274046i | |||||
−2888.67 | − | 40.1102i | −0.253789 | − | 0.00352394i | |||||
7187.57 | − | 7187.57i | 0.629608 | − | 0.629608i | |||||
4909.85 | − | 4644.47i | 0.428818 | − | 0.405640i | |||||
14547.6 | 1.26682 | 0.633410 | − | 0.773816i | ||||||
0.633410 | + | 0.773816i | ||||||||
−452.572 | − | 5375.60i | −0.0392945 | − | 0.466736i | |||||
4446.50i | 0.384935i | |||||||||
−7107.12 | − | 9149.13i | −0.613463 | − | 0.789723i | |||||
−593.857 | − | 593.857i | −0.0511100 | − | 0.0511100i | |||||
13523.7 | + | 187.781i | 1.16052 | + | 0.0161142i | |||||
−12032.7 | + | 1181.49i | −1.02956 | + | 0.101093i | |||||
8266.06 | + | 229.598i | 0.705219 | + | 0.0195882i | |||||
4021.90 | + | 4021.90i | 0.342133 | + | 0.342133i | |||||
−671.982 | + | 653.577i | −0.0569985 | + | 0.0554373i | |||||
−10278.2 | −0.869291 | |||||||||
12596.6 | − | 14099.0i | 1.06230 | − | 1.18901i | |||||
−4286.58 | −0.360458 | −0.180229 | − | 0.983625i | ||||||
−0.180229 | + | 0.983625i | ||||||||
−952.050 | + | 925.973i | −0.0798278 | + | 0.0776413i | |||||
−9413.82 | − | 9413.82i | −0.787070 | − | 0.787070i | 0.193943 | − | 0.981013i | ||
−0.981013 | + | 0.193943i | ||||||||
398.931 | − | 14362.5i | 0.0332584 | − | 1.19738i | |||||
−2356.81 | + | 467.336i | −0.195923 | + | 0.0388499i | |||||
−6736.73 | − | 93.5416i | −0.558432 | − | 0.00775401i | |||||
−7605.81 | − | 7605.81i | −0.628680 | − | 0.628680i | |||||
1591.00 | + | 1778.31i | 0.131135 | + | 0.146574i | |||||
5412.38i | 0.444841i | |||||||||
−5365.29 | − | 4532.03i | −0.439723 | − | 0.371432i | |||||
4586.67 | 0.374848 | |||||||||
−1095.66 | − | 1158.26i | −0.0892908 | − | 0.0943928i | |||||
−24305.8 | + | 24305.8i | −1.97524 | + | 1.97524i | |||||
5659.48 | + | 78.5837i | 0.458632 | + | 0.00636826i | |||||
8145.69 | − | 799.826i | 0.658260 | − | 0.0646346i | |||||
−677.655 | + | 16259.5i | −0.0546087 | + | 1.31027i | |||||
6542.93 | − | 6542.93i | 0.525788 | − | 0.525788i | |||||
−15730.8 | − | 16173.8i | −1.26060 | − | 1.29610i | |||||
3752.55i | 0.299877i | |||||||||
169.168 | + | 2409.02i | 0.0134811 | + | 0.191977i | |||||
− | 4696.82i | − | 0.373257i | −0.982431 | − | 0.186628i | ||||
0.982431 | − | 0.186628i | ||||||||
1322.22 | − | 1286.00i | 0.104786 | − | 0.101916i | |||||
−4351.74 | + | 4351.74i | −0.343924 | + | 0.343924i | |||||
−10268.7 | − | 714.025i | −0.809317 | − | 0.0562750i | |||||
−18576.6 | − | 15254.7i | −1.46006 | − | 1.19897i | |||||
−56.4117 | + | 4062.69i | −0.00442161 | + | 0.318437i | |||||
14320.7 | − | 14320.7i | 1.11939 | − | 1.11939i | 0.127564 | − | 0.991830i | ||
0.991830 | − | 0.127564i | ||||||||
−15482.1 | − | 16366.8i | −1.20687 | − | 1.27583i | |||||
−543.637 | −0.0422621 | |||||||||
−2493.77 | + | 3617.66i | −0.193336 | + | 0.280468i | |||||
− | 1622.83i | − | 0.125472i | |||||||
−4105.80 | + | 3777.26i | −0.316584 | + | 0.291251i | |||||
4961.12 | + | 4961.12i | 0.381498 | + | 0.381498i | |||||
−12.2161 | + | 879.787i | −0.000936847 | + | 0.0674703i | |||||
−1101.05 | + | 1340.82i | −0.0842106 | + | 0.102549i | |||||
7017.11 | + | 194.907i | 0.535237 | + | 0.0148667i | |||||
−9214.52 | − | 9214.52i | −0.700955 | − | 0.700955i | 0.263661 | − | 0.964616i | ||
−0.964616 | + | 0.263661i | ||||||||
3357.22 | + | 3451.76i | 0.254699 | + | 0.261872i | |||||
25749.9 | 1.94831 | |||||||||
194.048 | + | 4580.50i | 0.0146429 | + | 0.345645i | |||||
2120.10 | 0.159555 | |||||||||
−5495.43 | − | 5650.19i | −0.412474 | − | 0.424090i | |||||
3971.85 | + | 3971.85i | 0.297324 | + | 0.297324i | 0.839965 | − | 0.542641i | ||
−0.542641 | + | 0.839965i | ||||||||
10979.8 | + | 304.975i | 0.819740 | + | 0.0227691i | |||||
−1303.44 | − | 13274.7i | −0.0970553 | − | 0.988443i | |||||
45.9669 | − | 3310.47i | 0.00341366 | − | 0.245847i | |||||
−366.976 | − | 366.976i | −0.0271808 | − | 0.0271808i | |||||
6646.03 | + | 7224.10i | 0.490953 | + | 0.533656i | |||||
− | 10888.3i | − | 0.802218i | −0.916030 | − | 0.401109i | ||||
0.916030 | − | 0.401109i | ||||||||
−2254.30 | − | 1904.19i | −0.165653 | − | 0.139926i | |||||
14962.4 | 1.09660 | 0.548298 | − | 0.836283i | ||||||
0.548298 | + | 0.836283i | ||||||||
5106.11 | + | 5397.87i | 0.373247 | + | 0.394574i | |||||
829.873 | − | 829.873i | 0.0605034 | − | 0.0605034i | |||||
115.726 | − | 8334.39i | 0.00841515 | − | 0.606047i | |||||
−8538.54 | − | 5712.64i | −0.619272 | − | 0.414319i | |||||
4592.02 | + | 383.433i | 0.332177 | + | 0.0277367i | |||||
11929.8 | − | 11929.8i | 0.860734 | − | 0.860734i | −0.130689 | − | 0.991423i | ||
0.991423 | + | 0.130689i | ||||||||
3405.22 | − | 3311.95i | 0.245049 | − | 0.238337i | |||||
− | 8847.32i | − | 0.635029i | |||||||
−3060.42 | + | 3522.71i | −0.219098 | + | 0.252194i | |||||
− | 6029.28i | − | 0.430528i | |||||||
−4043.89 | − | 4157.78i | −0.288015 | − | 0.296126i | |||||
1951.71 | − | 1951.71i | 0.138648 | − | 0.138648i | |||||
15689.5 | + | 653.897i | 1.11171 | + | 0.0463330i | |||||
734.857 | + | 7484.03i | 0.0519361 | + | 0.528934i | |||||
6579.74 | + | 91.3619i | 0.463834 | + | 0.00644048i | |||||
2020.70 | − | 2020.70i | 0.142084 | − | 0.142084i | −0.632487 | − | 0.774571i | ||
0.774571 | + | 0.632487i | ||||||||
4979.98 | + | 5264.53i | 0.349270 | + | 0.369227i | |||||
−5883.75 | −0.411605 | |||||||||
16059.1 | − | 1352.01i | 1.12058 | − | 0.0943416i | |||||
3457.83i | 0.240670i | |||||||||
2207.33 | + | 2467.21i | 0.153244 | + | 0.171287i | |||||
−18128.7 | − | 18128.7i | −1.25541 | − | 1.25541i | −0.953263 | − | 0.302143i | ||
−0.302143 | − | 0.953263i | ||||||||
−948.990 | − | 13.1770i | −0.0655514 | − | 0.000910202i | |||||
3148.04 | + | 2585.11i | 0.216903 | + | 0.178116i | |||||
189.374 | − | 6817.89i | 0.0130152 | − | 0.468576i | |||||
−3554.49 | − | 3554.49i | −0.243678 | − | 0.243678i | |||||
−12453.7 | + | 12112.6i | −0.851622 | + | 0.828296i | |||||
16943.4 | 1.15574 | 0.577869 | − | 0.816129i | ||||||
0.577869 | + | 0.816129i | ||||||||
1302.41 | + | 8384.73i | 0.0886176 | + | 0.570509i | |||||
−8319.55 | −0.564661 | −0.282331 | − | 0.959317i | ||||||
−0.282331 | + | 0.959317i | ||||||||
−4476.09 | + | 4353.49i | −0.303043 | + | 0.294743i | |||||
−4576.97 | − | 4576.97i | −0.309102 | − | 0.309102i | |||||
−21951.4 | − | 609.722i | −1.47879 | − | 0.0410749i | |||||
10165.9 | + | 8347.98i | 0.683142 | + | 0.560982i | |||||
−3053.87 | − | 42.4040i | −0.204711 | − | 0.00284248i | |||||
9133.72 | + | 9133.72i | 0.610752 | + | 0.610752i | 0.943142 | − | 0.332390i | ||
−0.332390 | + | 0.943142i | ||||||||
−4248.05 | + | 3695.69i | −0.283357 | + | 0.246513i | |||||
− | 1002.83i | − | 0.0667272i | |||||||
−1903.41 | + | 160.248i | −0.126339 | + | 0.0106365i | |||||
34203.7 | 2.26470 | |||||||||
2974.32 | − | 2813.56i | 0.196454 | − | 0.185836i | |||||
−7504.73 | + | 7504.73i | −0.494475 | + | 0.494475i | −0.909713 | − | 0.415238i | ||
0.415238 | + | 0.909713i | ||||||||
−588.115 | − | 8.16616i | −0.0386553 | − | 0.000536742i | |||||
−1507.52 | − | 15353.1i | −0.0988442 | − | 1.00666i | |||||
−1800.20 | − | 75.0276i | −0.117747 | − | 0.00490738i | |||||
−10138.0 | + | 10138.0i | −0.661494 | + | 0.661494i | −0.955732 | − | 0.294238i | ||
0.294238 | + | 0.955732i | ||||||||
−6397.78 | − | 6577.95i | −0.416434 | − | 0.428162i | |||||
− | 11914.3i | − | 0.773627i | −0.922158 | − | 0.386814i | ||||
0.922158 | − | 0.386814i | ||||||||
12771.9 | + | 11095.9i | 0.827313 | + | 0.718744i | |||||
− | 2219.04i | − | 0.143393i | |||||||
−6225.92 | + | 6055.39i | −0.401345 | + | 0.390352i | |||||
−3022.07 | + | 3022.07i | −0.194345 | + | 0.194345i | |||||
14326.9 | + | 796.503i | 0.919127 | + | 0.0510988i | |||||
−14442.7 | + | 5962.19i | −0.924336 | + | 0.381580i | |||||
−246.949 | + | 17784.9i | −0.0157669 | + | 1.13551i | |||||
820.038 | − | 820.038i | 0.0522315 | − | 0.0522315i | |||||
−11862.8 | + | 11221.6i | −0.753785 | + | 0.713042i | |||||
2941.39 | 0.186456 | |||||||||
−1393.05 | − | 1176.70i | −0.0880959 | − | 0.0744142i | |||||
2376.23i | 0.149915i | 0.997187 | + | 0.0749574i | ||||||
−0.997187 | + | 0.0749574i | ||||||||
18234.9 | − | 16775.8i | 1.14770 | − | 1.05586i | |||||
2661.02 | + | 2661.02i | 0.167087 | + | 0.167087i | |||||
308.789 | − | 22238.5i | 0.0193432 | − | 1.39307i | |||||
922.999 | + | 9400.12i | 0.0576820 | + | 0.587453i | |||||
147.996 | − | 5328.20i | 0.00922708 | − | 0.332196i | |||||
15956.5 | + | 15956.5i | 0.992498 | + | 0.992498i | |||||
−1278.65 | − | 1314.66i | −0.0793450 | − | 0.0815795i | |||||
−3904.36 | −0.241712 | |||||||||
16190.9 | − | 11.0965i | 1.00000 | − | 0.000685355i | |||||
7046.51 | 0.434197 | 0.217099 | − | 0.976150i | ||||||
0.217099 | + | 0.976150i | ||||||||
4331.05 | + | 4453.02i | 0.266251 | + | 0.273749i | |||||
4714.67 | + | 4714.67i | 0.289158 | + | 0.289158i | 0.836747 | − | 0.547589i | ||
−0.547589 | + | 0.836747i | ||||||||
116.966 | − | 4211.05i | 0.00715700 | − | 0.257669i | |||||
−7334.11 | + | 8931.21i | −0.447722 | + | 0.545218i | |||||
−69.4595 | + | 5002.37i | −0.00423041 | + | 0.304668i | |||||
−9404.06 | − | 9404.06i | −0.571425 | − | 0.571425i | 0.361102 | − | 0.932526i | ||
−0.932526 | + | 0.361102i | ||||||||
−1348.84 | + | 1240.91i | −0.0817709 | + | 0.0752276i | |||||
6333.58i | 0.383074i | |||||||||
4779.00 | + | 25986.9i | 0.288381 | + | 1.56814i | |||||
−3635.88 | −0.218896 | |||||||||
−24002.1 | + | 22704.7i | −1.44171 | + | 1.36378i | |||||
21869.3 | − | 21869.3i | 1.31059 | − | 1.31059i | 0.389605 | − | 0.920982i | ||
0.920982 | − | 0.389605i | ||||||||
253.287 | − | 18241.3i | 0.0151442 | − | 1.09066i | |||||
15518.2 | + | 12743.2i | 0.925717 | + | 0.760179i | |||||
−29390.9 | − | 1633.99i | −1.74927 | − | 0.0972506i | |||||
−4416.50 | + | 4416.50i | −0.262259 | + | 0.262259i | |||||
−5945.59 | + | 5782.74i | −0.352254 | + | 0.342606i | |||||
20051.7i | 1.18528i | 0.805466 | + | 0.592642i | ||||||
−0.805466 | + | 0.592642i | ||||||||
−3326.54 | + | 233.598i | −0.196190 | + | 0.0137770i | |||||
8405.80i | 0.494626i | 0.968936 | + | 0.247313i | ||||||
−0.968936 | + | 0.247313i | ||||||||
7359.85 | + | 7567.11i | 0.432098 | + | 0.444266i | |||||
9015.03 | − | 9015.03i | 0.528077 | − | 0.528077i | |||||
−21274.4 | − | 886.660i | −1.24338 | − | 0.0518209i | |||||
2217.54 | − | 217.741i | 0.129312 | − | 0.0126972i | |||||
−1316.62 | − | 18.2816i | −0.0766034 | − | 0.00106366i | |||||
3031.98 | − | 3031.98i | 0.176010 | − | 0.176010i | |||||
3687.87 | − | 3488.54i | 0.213605 | − | 0.202059i | |||||
12829.8 | 0.741448 | |||||||||
−17374.3 | − | 14676.0i | −1.00183 | − | 0.846242i | |||||
− | 750.692i | − | 0.0431895i | |||||||
−2625.10 | + | 2283.77i | −0.150693 | + | 0.131099i | |||||
−16587.1 | − | 16587.1i | −0.950051 | − | 0.950051i | 0.0487593 | − | 0.998811i | ||
−0.998811 | + | 0.0487593i | ||||||||
−924.960 | − | 12.8434i | −0.0528607 | − | 0.000733988i | |||||
−2805.09 | − | 1876.72i | −0.159953 | − | 0.107015i | |||||
27095.6 | + | 752.607i | 1.54162 | + | 0.0428201i | |||||
−3107.71 | − | 3107.71i | −0.176424 | − | 0.176424i | 0.613371 | − | 0.789795i | ||
−0.789795 | + | 0.613371i | ||||||||
7256.90 | − | 7058.13i | 0.411061 | − | 0.399802i | |||||
4379.56 | 0.247529 | |||||||||
9584.51 | − | 10727.7i | 0.540513 | − | 0.604985i | |||||
−8670.86 | −0.487912 | |||||||||
−4766.43 | + | 4635.87i | −0.267619 | + | 0.260289i | |||||
20235.7 | + | 20235.7i | 1.13367 | + | 1.13367i | 0.989562 | + | 0.144111i | ||
0.144111 | + | 0.989562i | ||||||||
62.1824 | − | 2238.71i | 0.00347603 | − | 0.125145i | |||||
31334.9 | − | 3076.77i | 1.74780 | − | 0.171617i | |||||
−11686.8 | − | 162.275i | −0.650443 | − | 0.00903160i | |||||
−8270.96 | − | 8270.96i | −0.459326 | − | 0.459326i | |||||
14703.1 | + | 16434.1i | 0.814752 | + | 0.910677i | |||||
− | 16598.1i | − | 0.917760i | |||||||
−654.106 | − | 7769.41i | −0.0360890 | − | 0.428661i | |||||
−9571.90 | −0.526964 | −0.263482 | − | 0.964664i | ||||||
−0.263482 | + | 0.964664i | ||||||||
−18835.1 | − | 19911.4i | −1.03469 | − | 1.09381i | |||||
506.745 | − | 506.745i | 0.0277773 | − | 0.0277773i | |||||
−11900.5 | − | 165.243i | −0.650919 | − | 0.00903822i | |||||
−6225.98 | + | 7581.76i | −0.339805 | + | 0.413802i | |||||
−3538.50 | − | 147.476i | −0.192711 | − | 0.00803168i | |||||
−18493.9 | + | 18493.9i | −1.00503 | + | 1.00503i | |||||
−17502.3 | − | 17995.2i | −0.949100 | − | 0.975828i | |||||
11832.3i | 0.640257i | |||||||||
−5224.28 | − | 3709.30i | −0.282085 | − | 0.200284i | |||||
− | 8233.56i | − | 0.443620i | −0.975090 | − | 0.221810i | ||||
0.975090 | − | 0.221810i | ||||||||
−4091.31 | + | 3979.25i | −0.219966 | + | 0.213942i | |||||
1137.71 | − | 1137.71i | 0.0610378 | − | 0.0610378i | |||||
−529.470 | + | 6340.98i | −0.0283454 | + | 0.339467i | |||||
−9741.90 | + | 11863.3i | −0.520427 | + | 0.633757i | |||||
307.853 | − | 22171.1i | 0.0164111 | − | 1.18190i | |||||
1630.72 | − | 1630.72i | 0.0867460 | − | 0.0867460i | |||||
8405.23 | + | 8885.50i | 0.446169 | + | 0.471663i | |||||
−22460.1 | −1.18971 | −0.594857 | − | 0.803832i | ||||||
−0.594857 | + | 0.803832i | ||||||||
−13670.2 | + | 1150.89i | −0.722581 | + | 0.0608341i | |||||
9855.30i | 0.519835i | |||||||||
10219.0 | + | 11107.8i | 0.537882 | + | 0.584667i | |||||
−10992.8 | − | 10992.8i | −0.577394 | − | 0.577394i | |||||
−42.9227 | + | 3091.23i | −0.00224978 | + | 0.162026i | |||||
−10334.5 | + | 1014.74i | −0.540541 | + | 0.0530758i | |||||
24665.4 | + | 685.107i | 1.28742 | + | 0.0357593i | |||||
−11433.1 | − | 11433.1i | −0.595503 | − | 0.595503i | |||||
2150.06 | + | 2210.61i | 0.111754 | + | 0.114901i | |||||
−14177.6 | −0.735377 | −0.367688 | − | 0.929949i | ||||||
−0.367688 | + | 0.929949i | ||||||||
−4356.86 | + | 4742.34i | −0.225515 | + | 0.245467i | |||||
6928.83 | 0.357896 | |||||||||
−11618.2 | − | 11945.4i | −0.598871 | − | 0.615736i | |||||
−9892.97 | − | 9892.97i | −0.508884 | − | 0.508884i | |||||
−16405.1 | − | 455.668i | −0.842114 | − | 0.0233906i | |||||
−1268.47 | − | 6396.99i | −0.0649791 | − | 0.327694i | |||||
−138.609 | + | 9982.39i | −0.00708574 | + | 0.510305i | |||||
48.4942 | + | 48.4942i | 0.00247393 | + | 0.00247393i | 0.708343 | − | 0.705869i | ||
−0.705869 | + | 0.708343i | ||||||||
−7973.80 | + | 7335.73i | −0.405946 | + | 0.373462i | |||||
− | 729.000i | − | 0.0370370i | |||||||
−14161.4 | + | 16765.2i | −0.717998 | + | 0.850009i | |||||
19592.7 | 0.991330 | |||||||||
−996.235 | − | 1053.16i | −0.0503031 | − | 0.0531774i | |||||
22687.5 | − | 22687.5i | 1.14322 | − | 1.14322i | 0.155367 | − | 0.987857i | ||
0.987857 | − | 0.155367i | ||||||||
−438.222 | + | 31560.1i | −0.0220369 | + | 1.58706i | |||||
−10079.2 | + | 989.675i | −0.505817 | + | 0.0496663i | |||||
−14841.5 | − | 1031.99i | −0.743295 | − | 0.0516842i | |||||
6320.19 | − | 6320.19i | 0.315885 | − | 0.315885i | |||||
8393.11 | − | 8163.22i | 0.418638 | − | 0.407171i | |||||
18302.4i | 0.911046i | 0.890224 | + | 0.455523i | ||||||
−0.890224 | + | 0.455523i | ||||||||
−4615.20 | + | 324.091i | −0.229268 | + | 0.0160998i | |||||
− | 6973.90i | − | 0.345739i | |||||||
2806.20 | + | 2885.23i | 0.138840 | + | 0.142750i | |||||
18251.9 | − | 18251.9i | 0.901207 | − | 0.901207i | −0.0943332 | − | 0.995541i | ||
0.995541 | + | 0.0943332i | ||||||||
−534.689 | + | 12829.2i | −0.0263476 | + | 0.632181i | |||||
7366.50 | + | 6049.21i | 0.362265 | + | 0.297484i | |||||
18743.8 | + | 260.263i | 0.919916 | + | 0.0127733i | |||||
5988.61 | − | 5988.61i | 0.293322 | − | 0.293322i | |||||
3885.15 | + | 4107.15i | 0.189913 | + | 0.200765i | |||||
−4690.55 | −0.228824 | |||||||||
−10374.5 | − | 5744.03i | −0.505100 | − | 0.279657i | |||||
− | 21816.5i | − | 1.06005i | −0.847982 | − | 0.530024i | ||||
0.847982 | − | 0.530024i | ||||||||
19530.1 | + | 21829.5i | 0.947060 | + | 1.05856i | |||||
8610.64 | + | 8610.64i | 0.416719 | + | 0.416719i | |||||
−11027.2 | − | 153.116i | −0.532608 | − | 0.00739544i | |||||
19476.5 | − | 23717.8i | 0.938838 | − | 1.14328i | |||||
38.4258 | − | 1383.42i | 0.00184859 | − | 0.0665535i | |||||
17383.8 | + | 17383.8i | 0.834644 | + | 0.834644i | 0.988148 | − | 0.153504i | ||
−0.153504 | + | 0.988148i | ||||||||
14769.2 | − | 14364.7i | 0.707707 | − | 0.688323i | |||||
3064.20 | 0.146539 | |||||||||
−442.190 | − | 7856.63i | −0.0211051 | − | 0.374987i | |||||
426.712 | 0.0203263 | 0.0101631 | − | 0.999948i | ||||||
0.0101631 | + | 0.999948i | ||||||||
−5138.78 | + | 4998.03i | −0.244302 | + | 0.237611i | |||||
9740.58 | + | 9740.58i | 0.462166 | + | 0.462166i | |||||
3128.44 | + | 86.8956i | 0.148145 | + | 0.00411488i | |||||
559.141 | + | 5694.47i | 0.0264258 | + | 0.269129i | |||||
−24729.5 | − | 343.377i | −1.16647 | − | 0.0161968i | |||||
26931.5 | + | 26931.5i | 1.26785 | + | 1.26785i | |||||
7672.24 | + | 9598.53i | 0.360479 | + | 0.450986i | |||||
15349.4i | 0.719786i | 0.932994 | + | 0.359893i | ||||||
−0.932994 | + | 0.359893i | ||||||||
1624.87 | − | 1923.62i | 0.0760471 | − | 0.0900291i | |||||
−14345.5 | −0.670090 | |||||||||
17139.4 | − | 16213.0i | 0.799044 | − | 0.755855i | |||||
−9844.65 | + | 9844.65i | −0.458069 | + | 0.458069i | −0.898021 | − | 0.439952i | ||
0.439952 | + | 0.898021i | ||||||||
−8770.02 | − | 121.775i | −0.407276 | − | 0.00565516i | |||||
−23193.0 | + | 4598.98i | −1.07499 | + | 0.213162i | |||||
644.053 | − | 15453.3i | 0.0297940 | − | 0.714872i | |||||
703.052 | − | 703.052i | 0.0324605 | − | 0.0324605i | |||||
5324.30 | + | 5474.24i | 0.245354 | + | 0.252264i | |||||
14306.6i | 0.658007i | |||||||||
−13151.8 | + | 15138.4i | −0.603728 | + | 0.694923i | |||||
− | 5391.41i | − | 0.247017i | |||||||
−9475.82 | + | 9216.28i | −0.433318 | + | 0.421449i | |||||
996.068 | − | 996.068i | 0.0454618 | − | 0.0454618i | |||||
−1072.70 | + | 19294.9i | −0.0488655 | + | 0.878958i | |||||
−2230.08 | − | 22711.8i | −0.101395 | − | 1.03264i | |||||
−211.586 | + | 15238.1i | −0.00960180 | + | 0.691507i | |||||
3192.68 | − | 3192.68i | 0.144608 | − | 0.144608i | −0.631096 | − | 0.775705i | ||
0.775705 | + | 0.631096i | ||||||||
−6698.67 | + | 6336.60i | −0.302830 | + | 0.286462i | |||||
7146.07 | 0.322442 | |||||||||
2905.05 | + | 34505.9i | 0.130832 | + | 1.55401i | |||||
7643.99i | 0.343602i | |||||||||
−1713.53 | − | 1862.57i | −0.0768784 | − | 0.0835653i | |||||
−3192.08 | − | 3192.08i | −0.142943 | − | 0.142943i | |||||
59.8310 | − | 4308.94i | 0.00267421 | − | 0.192593i | |||||
5756.94 | + | 4727.47i | 0.256827 | + | 0.210901i | |||||
372.188 | − | 13399.6i | 0.0165727 | − | 0.596656i | |||||
1431.93 | + | 1431.93i | 0.0636407 | + | 0.0636407i | 0.738211 | − | 0.674570i | ||
−0.674570 | + | 0.738211i | ||||||||
1179.06 | + | 1212.27i | 0.0523037 | + | 0.0537767i | |||||
26025.0 | 1.15231 | |||||||||
−13856.6 | + | 17888.4i | −0.612380 | + | 0.790564i | |||||
−6003.36 | −0.264817 | |||||||||
−19516.7 | − | 20066.3i | −0.859298 | − | 0.883497i | |||||
−6098.61 | − | 6098.61i | −0.268014 | − | 0.268014i | |||||
479.252 | − | 17254.2i | 0.0210223 | − | 0.756850i | |||||
4549.90 | + | 3736.28i | 0.199209 | + | 0.163586i | |||||
−555.139 | + | 39980.3i | −0.0242605 | + | 1.74720i | |||||
16921.6 | + | 16921.6i | 0.738126 | + | 0.738126i | |||||
−5514.18 | − | 5993.80i | −0.240084 | − | 0.260967i | |||||
− | 15866.9i | − | 0.689556i | −0.938684 | − | 0.344778i | ||||
0.938684 | − | 0.344778i | ||||||||
−214.888 | − | 2552.42i | −0.00932147 | − | 0.110719i | |||||
−21359.2 | −0.924812 | −0.462406 | − | 0.886668i | ||||||
−0.462406 | + | 0.886668i | ||||||||
1942.74 | − | 1837.73i | 0.0839614 | − | 0.0794232i | |||||
−1383.35 | + | 1383.35i | −0.0596757 | + | 0.0596757i | |||||
25.2445 | − | 1818.07i | 0.00108700 | − | 0.0782844i | |||||
−4512.13 | − | 45953.0i | −0.193930 | − | 1.97505i | |||||
10901.1 | + | 606.046i | 0.467666 | + | 0.0259998i | |||||
7578.32 | − | 7578.32i | 0.324519 | − | 0.324519i | |||||
12084.6 | − | 11753.6i | 0.516539 | − | 0.502391i | |||||
− | 4309.54i | − | 0.183868i | |||||||
26980.2 | − | 31055.6i | 1.14901 | − | 1.32257i | |||||
4564.28i | 0.194025i | 0.995283 | + | 0.0970126i | ||||||
−0.995283 | + | 0.0970126i | ||||||||
16660.7 | + | 17129.9i | 0.706945 | + | 0.726854i | |||||
−21363.8 | + | 21363.8i | −0.904857 | + | 0.904857i | −0.995851 | − | 0.0909949i | ||
0.0909949 | + | 0.995851i | ||||||||
1018.95 | − | 24448.4i | 0.0430785 | − | 1.03362i | |||||
2591.51 | − | 3873.46i | 0.109363 | − | 0.163463i | |||||
−9234.75 | − | 128.227i | −0.389005 | − | 0.00540146i | |||||
−26808.3 | + | 26808.3i | −1.12722 | + | 1.12722i | −0.136598 | + | 0.990626i | ||
−0.990626 | + | 0.136598i | ||||||||
4298.82 | − | 4066.46i | 0.180428 | − | 0.170676i | |||||
−23938.0 | −1.00290 | −0.501448 | − | 0.865188i | ||||||
−0.501448 | + | 0.865188i | ||||||||
19202.4 | − | 22732.9i | 0.803041 | − | 0.950688i | |||||
− | 933.245i | − | 0.0389578i | |||||||
24711.6 | + | 29214.4i | 1.02971 | + | 1.21734i | |||||
12141.1 | + | 12141.1i | 0.504997 | + | 0.504997i | |||||
−7444.93 | − | 103.375i | −0.309109 | − | 0.00429207i | |||||
693.281 | + | 7060.60i | 0.0287329 | + | 0.292625i | |||||
3091.36 | + | 85.8657i | 0.127891 | + | 0.00355231i | |||||
−3611.35 | − | 3611.35i | −0.149136 | − | 0.149136i | |||||
5009.27 | − | 4872.07i | 0.206495 | − | 0.200839i | |||||
−2924.94 | −0.120358 | −0.0601789 | − | 0.998188i | ||||||
−0.0601789 | + | 0.998188i | ||||||||
−273.253 | − | 4855.03i | −0.0112239 | − | 0.199422i | |||||
−21667.0 | −0.888394 | |||||||||
20661.0 | − | 20095.1i | 0.845637 | − | 0.822475i | |||||
5911.42 | + | 5911.42i | 0.241519 | + | 0.241519i | |||||
−278.634 | + | 10031.5i | −0.0113637 | + | 0.409120i | |||||
−24040.7 | + | 29275.9i | −0.978729 | + | 1.19186i | |||||
−11649.2 | − | 161.753i | −0.473414 | − | 0.00657350i | |||||
−5330.43 | − | 5330.43i | −0.216241 | − | 0.216241i | |||||
10593.2 | − | 9477.41i | 0.428978 | − | 0.383792i | |||||
3511.62i | 0.141953i | |||||||||
3636.26 | + | 19773.0i | 0.146732 | + | 0.797891i | |||||
4251.22 | 0.171246 | |||||||||
−7154.89 | − | 7563.71i | −0.287702 | − | 0.304141i | |||||
−6388.44 | + | 6388.44i | −0.256431 | + | 0.256431i | −0.823601 | − | 0.567170i | ||
0.567170 | + | 0.823601i | ||||||||
1094.55 | + | 15.1982i | 0.0438581 | + | 0.000608984i | |||||
2418.85 | + | 1986.31i | 0.0967521 | + | 0.0794507i | |||||
−689.787 | + | 16550.6i | −0.0275426 | + | 0.660852i | |||||
−10121.5 | + | 10121.5i | −0.403434 | + | 0.403434i | −0.879441 | − | 0.476007i | ||
0.476007 | + | 0.879441i | ||||||||
−5494.82 | − | 5649.56i | −0.218636 | − | 0.224793i | |||||
− | 41062.1i | − | 1.63099i | −0.578764 | − | 0.815495i | ||||
0.578764 | − | 0.815495i | ||||||||
−30742.0 | + | 2158.78i | −1.21894 | + | 0.0855974i | |||||
8840.81i | 0.349935i | |||||||||
27623.1 | − | 26866.5i | 1.09147 | − | 1.06157i | |||||
−837.975 | + | 837.975i | −0.0330533 | + | 0.0330533i | −0.723440 | − | 0.690387i | ||
0.690387 | + | 0.723440i | ||||||||
−4875.75 | − | 339.030i | −0.191987 | − | 0.0133496i | |||||
38121.2 | − | 3743.12i | 1.49845 | − | 0.147133i | |||||
363.311 | − | 26165.1i | 0.0142561 | − | 1.02671i | |||||
−3562.66 | + | 3562.66i | −0.139555 | + | 0.139555i | |||||
−6662.89 | − | 7043.60i | −0.260545 | − | 0.275432i | |||||
−13608.9 | −0.531242 | |||||||||
3193.88 | − | 3781.10i | 0.124463 | − | 0.147346i | |||||
− | 53749.1i | − | 2.09095i | |||||||
35802.1 | − | 32937.2i | 1.39038 | − | 1.27912i | |||||
4350.01 | + | 4350.01i | 0.168643 | + | 0.168643i | |||||
−100.390 | + | 7229.97i | −0.00388531 | + | 0.279814i | |||||
8571.07 | − | 2591.63i | 0.331149 | − | 0.100129i | |||||
−16649.3 | − | 462.450i | −0.642153 | − | 0.0178364i | |||||
1659.56 | + | 1659.56i | 0.0638990 | + | 0.0638990i | 0.738334 | − | 0.674435i | ||
−0.674435 | + | 0.738334i | ||||||||
12303.4 | + | 12649.9i | 0.472915 | + | 0.486234i | |||||
−6979.55 | −0.267821 | |||||||||
−6548.55 | − | 6016.25i | −0.250854 | − | 0.230463i | |||||
−3948.49 | −0.150997 | −0.0754983 | − | 0.997146i | ||||||
−0.0754983 | + | 0.997146i | ||||||||
−5359.08 | − | 5510.00i | −0.204591 | − | 0.210353i | |||||
−9143.59 | − | 9143.59i | −0.348478 | − | 0.348478i | 0.511064 | − | 0.859543i | ||
−0.859543 | + | 0.511064i | ||||||||
33984.7 | + | 943.959i | 1.29302 | + | 0.0359149i | |||||
−17011.7 | + | 1670.38i | −0.646149 | + | 0.0634454i | |||||
514.556 | − | 37057.5i | 0.0195111 | − | 1.40516i | |||||
19332.9 | + | 19332.9i | 0.731834 | + | 0.731834i | 0.970983 | − | 0.239149i | ||
−0.239149 | + | 0.970983i | ||||||||
−2377.33 | − | 2584.11i | −0.0898401 | − | 0.0976544i | |||||
− | 5412.89i | − | 0.204210i | |||||||
−21019.3 | + | 1769.62i | −0.791650 | + | 0.0666490i | |||||
1006.65 | 0.0378498 | |||||||||
23511.1 | + | 24854.5i | 0.882521 | + | 0.932948i | |||||
10066.3 | − | 10066.3i | 0.377217 | − | 0.377217i | |||||
−100.440 | + | 7233.55i | −0.00375752 | + | 0.270611i | |||||
−21884.5 | + | 26650.2i | −0.817340 | + | 0.995326i | |||||
−9234.81 | − | 900.377i | −0.344323 | − | 0.0335708i | |||||
13029.5 | − | 13029.5i | 0.484997 | − | 0.484997i | |||||
11501.7 | − | 11186.6i | 0.427411 | − | 0.415704i | |||||
− | 9868.74i | − | 0.366119i | |||||||
−1504.75 | − | 8873.31i | −0.0557316 | − | 0.328641i | |||||
− | 12629.2i | − | 0.466970i | |||||||
11272.3 | + | 11589.8i | 0.416106 | + | 0.427824i | |||||
4683.05 | − | 4683.05i | 0.172583 | − | 0.172583i | |||||
26971.9 | + | 1124.12i | 0.992335 | + | 0.0413579i | |||||
14555.5 | − | 17725.2i | 0.534632 | − | 0.651054i | |||||
23289.7 | + | 323.385i | 0.854027 | + | 0.0118584i | |||||
11929.3 | − | 11929.3i | 0.436721 | − | 0.436721i | −0.454186 | − | 0.890907i | ||
0.890907 | + | 0.454186i | ||||||||
−15889.7 | − | 16797.6i | −0.580746 | − | 0.613929i | |||||
3239.43 | 0.118201 | |||||||||
−1270.33 | − | 15088.8i | −0.0462757 | − | 0.549659i | |||||
34862.0i | 1.26787i | 0.773386 | + | 0.633935i | ||||||
−0.773386 | + | 0.633935i | ||||||||
4450.88 | − | 3982.06i | 0.161605 | − | 0.144582i | |||||
8269.48 | + | 8269.48i | 0.299759 | + | 0.299759i | |||||
−27969.7 | − | 388.368i | −1.01220 | − | 0.0140548i | |||||
2016.32 | − | 197.983i | 0.0728497 | − | 0.00715312i | |||||
866.048 | − | 31179.7i | 0.0312391 | − | 1.12468i | |||||
−8136.89 | − | 8136.89i | −0.293025 | − | 0.293025i | |||||
−3113.01 | + | 3027.74i | −0.111922 | + | 0.108857i | |||||
−13149.4 | −0.471990 | −0.235995 | − | 0.971754i | ||||||
−0.235995 | + | 0.971754i | ||||||||
13852.6 | − | 15504.9i | 0.496420 | − | 0.555632i | |||||
623.850 | 0.0223198 | |||||||||
5729.65 | − | 5572.71i | 0.204659 | − | 0.199054i | |||||
−22925.3 | − | 22925.3i | −0.817545 | − | 0.817545i | |||||
1910.32 | + | 53.0610i | 0.0680140 | + | 0.00188916i | |||||
3595.43 | − | 5373.99i | 0.127802 | − | 0.191022i | |||||
17571.3 | + | 243.983i | 0.623572 | + | 0.00865850i | |||||
6882.08 | + | 6882.08i | 0.243837 | + | 0.243837i | |||||
−6198.74 | − | 7125.21i | −0.219271 | − | 0.252044i | |||||
25537.5i | 0.901892i | 0.892551 | + | 0.450946i | ||||||
−0.892551 | + | 0.450946i | ||||||||
−13708.8 | − | 11579.7i | −0.483364 | − | 0.408296i | |||||
9392.15 | 0.330629 | |||||||||
−22922.1 | + | 21683.2i | −0.805621 | + | 0.762077i | |||||
6513.78 | − | 6513.78i | 0.228565 | − | 0.228565i | |||||
53914.5 | + | 748.620i | 1.88880 | + | 0.0262265i | |||||
−7863.32 | + | 772.100i | −0.275035 | + | 0.0270057i | |||||
−15206.2 | − | 633.757i | −0.531017 | − | 0.0221314i | |||||
8008.02 | − | 8008.02i | 0.279200 | − | 0.279200i | −0.553589 | − | 0.832790i | ||
0.832790 | + | 0.553589i | ||||||||
9087.26 | + | 9343.17i | 0.316321 | + | 0.325230i | |||||
− | 18865.5i | − | 0.655648i | |||||||
−40834.6 | + | 2867.51i | −1.41689 | + | 0.0994976i | |||||
− | 10838.0i | − | 0.375460i | −0.982221 | − | 0.187730i | ||||
0.982221 | − | 0.187730i | ||||||||
12415.9 | − | 12075.9i | 0.429440 | − | 0.417678i | |||||
−26729.4 | + | 26729.4i | −0.923042 | + | 0.923042i | |||||
−1810.50 | + | 32566.0i | −0.0624225 | + | 1.12281i | |||||
1494.74 | + | 1227.45i | 0.0514538 | + | 0.0422527i | |||||
168.155 | − | 12110.2i | 0.00577926 | − | 0.416214i | |||||
−1009.18 | + | 1009.18i | −0.0346292 | + | 0.0346292i | −0.724209 | − | 0.689580i | ||
0.689580 | + | 0.724209i | ||||||||
−19092.1 | + | 18060.2i | −0.654097 | + | 0.618742i | |||||
−51864.8 | −1.77408 | |||||||||
9054.53 | + | 6241.57i | 0.309229 | + | 0.213161i | |||||
23589.8i | 0.804365i | |||||||||
−6067.13 | + | 5581.64i | −0.206551 | + | 0.190023i | |||||
16368.4 | + | 16368.4i | 0.556373 | + | 0.556373i | 0.928273 | − | 0.371900i | ||
−0.371900 | + | 0.928273i | ||||||||
−78.4943 | + | 5653.04i | −0.00266388 | + | 0.191849i | |||||
−2775.73 | + | 3380.18i | −0.0940528 | + | 0.114534i | |||||
1197.15 | − | 43100.2i | 0.0405006 | − | 1.45812i | |||||
1375.44 | + | 1375.44i | 0.0464594 | + | 0.0464594i | |||||
33076.5 | + | 34008.0i | 1.11551 | + | 1.14692i | |||||
−18043.6 | −0.607569 | |||||||||
−17171.2 | + | 250.198i | −0.577289 | + | 0.00841157i | |||||
−5989.17 | −0.201040 | |||||||||
−7623.43 | − | 7838.12i | −0.255498 | − | 0.262694i | |||||
−4658.91 | − | 4658.91i | −0.155899 | − | 0.155899i | |||||
1035.89 | − | 37294.3i | 0.0346096 | − | 1.24603i | |||||
3222.03 | + | 32814.2i | 0.107483 | + | 1.09464i | |||||
−62.0366 | + | 4467.78i | −0.00206625 | + | 0.148808i | |||||
−23863.5 | − | 23863.5i | −0.793586 | − | 0.793586i | 0.188489 | − | 0.982075i | ||
−0.982075 | + | 0.188489i | ||||||||
−19592.3 | + | 18024.6i | −0.650539 | + | 0.598483i | |||||
− | 5306.32i | − | 0.175917i | |||||||
16512.8 | + | 13948.2i | 0.546590 | + | 0.461702i | |||||
−49836.4 | −1.64709 | −0.823547 | − | 0.567249i | ||||||
−0.823547 | + | 0.567249i | ||||||||
1412.25 | − | 1335.92i | 0.0466029 | − | 0.0440840i | |||||
3975.47 | − | 3975.47i | 0.130984 | − | 0.130984i | |||||
−445.963 | + | 32117.6i | −0.0146710 | + | 1.05659i | |||||
−5451.09 | − | 27490.2i | −0.179051 | − | 0.902966i | |||||
214.591 | − | 3859.90i | 0.00703779 | − | 0.126591i | |||||
−13522.5 | + | 13522.5i | −0.442807 | + | 0.442807i | −0.892954 | − | 0.450147i | ||
0.450147 | + | 0.892954i | ||||||||
25121.2 | − | 24433.1i | 0.821358 | − | 0.798861i | |||||
− | 8289.86i | − | 0.270628i | |||||||
−20387.7 | − | 17712.2i | −0.664552 | − | 0.577343i | |||||
19349.7i | 0.629755i | |||||||||
984.720 | + | 1012.45i | 0.0319997 | + | 0.0329008i | |||||
−36477.6 | + | 36477.6i | −1.18358 | + | 1.18358i | −0.204766 | + | 0.978811i | ||
−0.978811 | + | 0.204766i | ||||||||
31194.9 | + | 1300.12i | 1.01063 | + | 0.0421202i | |||||
−1259.28 | − | 12824.9i | −0.0407350 | − | 0.414858i | |||||
−8390.41 | − | 116.503i | −0.270999 | − | 0.00376291i | |||||
6220.49 | − | 6220.49i | 0.200608 | − | 0.200608i | |||||
13510.2 | − | 12779.9i | 0.435036 | − | 0.411522i | |||||
28317.5 | 0.910460 | |||||||||
3524.55 | − | 296.732i | 0.113149 | − | 0.00952602i | |||||
− | 36474.0i | − | 1.16916i | −0.811337 | − | 0.584579i | ||||
0.811337 | − | 0.584579i | ||||||||
−25833.2 | + | 22474.2i | −0.826820 | + | 0.719311i | |||||
−7916.98 | − | 7916.98i | −0.253009 | − | 0.253009i | |||||
7861.00 | + | 109.153i | 0.250841 | + | 0.00348301i | |||||
14477.9 | + | 11888.9i | 0.461286 | + | 0.378798i | |||||
22575.7 | + | 627.064i | 0.718213 | + | 0.0199491i | |||||
−16586.0 | − | 16586.0i | −0.526865 | − | 0.526865i | 0.392771 | − | 0.919636i | ||
−0.919636 | + | 0.392771i | ||||||||
15649.4 | − | 15220.7i | 0.496365 | − | 0.482770i | |||||
1396.62 | 0.0442312 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 120.4.v.a.43.9 | ✓ | 72 | |
4.3 | odd | 2 | 480.4.bh.a.463.9 | 72 | |||
5.2 | odd | 4 | inner | 120.4.v.a.67.27 | yes | 72 | |
8.3 | odd | 2 | inner | 120.4.v.a.43.27 | yes | 72 | |
8.5 | even | 2 | 480.4.bh.a.463.10 | 72 | |||
20.7 | even | 4 | 480.4.bh.a.367.10 | 72 | |||
40.27 | even | 4 | inner | 120.4.v.a.67.9 | yes | 72 | |
40.37 | odd | 4 | 480.4.bh.a.367.9 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
120.4.v.a.43.9 | ✓ | 72 | 1.1 | even | 1 | trivial | |
120.4.v.a.43.27 | yes | 72 | 8.3 | odd | 2 | inner | |
120.4.v.a.67.9 | yes | 72 | 40.27 | even | 4 | inner | |
120.4.v.a.67.27 | yes | 72 | 5.2 | odd | 4 | inner | |
480.4.bh.a.367.9 | 72 | 40.37 | odd | 4 | |||
480.4.bh.a.367.10 | 72 | 20.7 | even | 4 | |||
480.4.bh.a.463.9 | 72 | 4.3 | odd | 2 | |||
480.4.bh.a.463.10 | 72 | 8.5 | even | 2 |