Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [160,4,Mod(43,160)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(160, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 6]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("160.43");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 160.u (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 | 43.10 | ||
Character | 160.43 | ||
Dual form | 160.4.u.a.67.10 |
-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 .
−2.56149 | + | 1.19949i | −0.905624 | + | 0.424082i | |||||
0.532873 | − | 1.28647i | 0.102551 | − | 0.247581i | −0.864273 | − | 0.503023i | ||
0.966824 | + | 0.255442i | ||||||||
5.12247 | − | 6.14494i | 0.640309 | − | 0.768118i | |||||
−11.0603 | + | 1.63392i | −0.989264 | + | 0.146142i | |||||
0.178152 | + | 3.93445i | 0.0121217 | + | 0.267706i | |||||
4.38872i | 0.236969i | 0.992956 | + | 0.118484i | ||||||
−0.992956 | + | 0.118484i | ||||||||
−5.75039 | + | 21.8845i | −0.254134 | + | 0.967169i | |||||
17.7208 | + | 17.7208i | 0.656327 | + | 0.656327i | |||||
26.3710 | − | 17.4519i | 0.833924 | − | 0.551879i | |||||
6.98321 | − | 16.8590i | 0.191411 | − | 0.462106i | −0.798816 | − | 0.601576i | ||
0.990226 | + | 0.139470i | ||||||||
−5.17565 | − | 9.86438i | −0.124507 | − | 0.237300i | |||||
10.4110 | − | 25.1344i | 0.222115 | − | 0.536234i | −0.773062 | − | 0.634331i | ||
0.995177 | + | 0.0980973i | ||||||||
−5.26421 | − | 11.2417i | −0.100494 | − | 0.214605i | |||||
−3.79175 | + | 15.0994i | −0.0652684 | + | 0.259910i | |||||
−11.5206 | − | 62.9546i | −0.180010 | − | 0.983665i | |||||
−87.0870 | − | 87.0870i | −1.24245 | − | 1.24245i | −0.958980 | − | 0.283472i | ||
−0.283472 | − | 0.958980i | ||||||||
−66.6476 | − | 24.1359i | −0.872722 | − | 0.316049i | |||||
37.5516 | + | 90.6575i | 0.453417 | + | 1.09464i | 0.971014 | + | 0.239021i | ||
−0.517598 | + | 0.855624i | ||||||||
−46.6157 | + | 76.3346i | −0.521180 | + | 0.853447i | |||||
5.64596 | + | 2.33863i | 0.0586690 | + | 0.0243015i | |||||
2.33465 | + | 51.5604i | 0.0226250 | + | 0.499668i | |||||
− | 194.901i | − | 1.76694i | −0.468485 | − | 0.883471i | ||||
0.468485 | − | 0.883471i | ||||||||
25.0896 | + | 19.0594i | 0.213391 | + | 0.162103i | |||||
119.661 | − | 36.1433i | 0.957285 | − | 0.289146i | |||||
3.48065 | + | 76.8695i | 0.0262543 | + | 0.579821i | |||||
66.9749 | − | 27.7419i | 0.477383 | − | 0.197738i | |||||
26.9684 | + | 22.4811i | 0.182020 | + | 0.151733i | |||||
−53.8252 | − | 129.945i | −0.344658 | − | 0.832078i | −0.997232 | − | 0.0743529i | ||
0.652574 | − | 0.757725i | ||||||||
−8.39900 | − | 43.2252i | −0.0511147 | − | 0.263060i | |||||
− | 299.439i | − | 1.73486i | −0.497556 | − | 0.867432i | ||||
0.497556 | − | 0.867432i | ||||||||
105.023 | + | 147.439i | 0.580176 | + | 0.814491i | |||||
−17.9674 | − | 17.9674i | −0.0947794 | − | 0.0947794i | |||||
327.532 | + | 118.613i | 1.65210 | + | 0.598293i | |||||
−7.17082 | − | 48.5406i | −0.0346311 | − | 0.234425i | |||||
199.668 | − | 18.1191i | 0.924388 | − | 0.0838845i | |||||
51.1973 | + | 123.601i | 0.227480 | + | 0.549186i | 0.995869 | − | 0.0907967i | ||
−0.768389 | + | 0.639983i | ||||||||
−204.930 | − | 187.176i | −0.874844 | − | 0.799050i | |||||
−26.7869 | − | 26.7869i | −0.109983 | − | 0.109983i | |||||
27.8435 | − | 251.445i | 0.110061 | − | 0.993925i | |||||
276.236 | − | 276.236i | 1.05222 | − | 1.05222i | 0.0536571 | − | 0.998559i | ||
0.998559 | − | 0.0536571i | ||||||||
−17.2672 | + | 0.781859i | −0.0634379 | + | 0.00287246i | |||||
−18.7517 | + | 7.76720i | −0.0665025 | + | 0.0275462i | −0.415687 | − | 0.909508i | ||
0.349184 | + | 0.937054i | ||||||||
−67.8261 | − | 129.271i | −0.232390 | − | 0.442917i | |||||
−224.952 | − | 167.043i | −0.745198 | − | 0.553363i | |||||
233.781 | + | 499.237i | 0.749329 | + | 1.60019i | |||||
−138.163 | + | 138.163i | −0.428789 | + | 0.428789i | −0.888216 | − | 0.459427i | ||
0.459427 | + | 0.888216i | ||||||||
−87.1281 | − | 18.7259i | −0.261997 | − | 0.0563093i | |||||
323.739 | 0.943846 | |||||||||
−263.156 | + | 236.112i | −0.744318 | + | 0.667825i | |||||
−158.441 | + | 65.6284i | −0.435023 | + | 0.180193i | |||||
−101.119 | − | 192.725i | −0.269668 | − | 0.513966i | |||||
−136.689 | − | 329.995i | −0.354257 | − | 0.855252i | −0.996085 | − | 0.0884030i | ||
0.641828 | − | 0.766849i | ||||||||
−138.280 | + | 151.396i | −0.348472 | + | 0.381526i | |||||
−49.6902 | + | 197.875i | −0.121822 | + | 0.485118i | |||||
−96.0452 | − | 25.2369i | −0.229189 | − | 0.0602218i | |||||
136.638 | 0.317512 | |||||||||
293.740 | + | 268.291i | 0.665000 | + | 0.607386i | |||||
−324.305 | + | 782.941i | −0.715609 | + | 1.72763i | −0.0301226 | + | 0.999546i | ||
−0.685486 | + | 0.728086i | ||||||||
73.3619 | + | 100.646i | 0.157850 | + | 0.216557i | |||||
573.445 | − | 237.529i | 1.20364 | − | 0.498564i | 0.311467 | − | 0.950257i | ||
0.892174 | + | 0.451693i | ||||||||
359.172 | + | 767.009i | 0.735725 | + | 1.57113i | |||||
−77.7718 | + | 77.7718i | −0.155529 | + | 0.155529i | |||||
−445.866 | − | 251.689i | −0.870832 | − | 0.491581i | |||||
−74.0814 | + | 295.005i | −0.141364 | + | 0.562937i | |||||
67.5749 | + | 24.4717i | 0.126029 | + | 0.0456402i | |||||
−753.754 | − | 312.215i | −1.37441 | − | 0.569301i | −0.431432 | − | 0.902146i | ||
−0.942982 | + | 0.332845i | ||||||||
−981.245 | + | 89.0440i | −1.74990 | + | 0.158797i | |||||
−250.734 | − | 103.858i | −0.437462 | − | 0.181203i | |||||
76.5917 | + | 115.735i | 0.130778 | + | 0.197614i | |||||
−282.902 | + | 282.902i | −0.472877 | + | 0.472877i | −0.902844 | − | 0.429968i | ||
0.429968 | + | 0.902844i | ||||||||
−489.714 | + | 285.911i | −0.801574 | + | 0.467984i | |||||
−488.899 | −0.783853 | −0.391927 | − | 0.919996i | ||||||
−0.391927 | + | 0.919996i | ||||||||
−279.399 | − | 255.193i | −0.438912 | − | 0.400886i | |||||
17.2667 | − | 173.200i | 0.0265838 | − | 0.266658i | |||||
749.442 | + | 233.638i | 1.13114 | + | 0.352633i | |||||
73.9893 | + | 30.6474i | 0.109505 | + | 0.0453584i | |||||
100.745 | + | 36.4839i | 0.146245 | + | 0.0529614i | |||||
− | 358.166i | − | 0.510086i | −0.966930 | − | 0.255043i | ||||
0.966930 | − | 0.255043i | ||||||||
230.284 | + | 677.473i | 0.321832 | + | 0.946797i | |||||
575.704i | 0.789717i | |||||||||
−376.235 | + | 1038.92i | −0.506686 | + | 1.39914i | |||||
58.6897 | + | 24.3101i | 0.0776148 | + | 0.0321491i | 0.421153 | − | 0.906990i | ||
−0.343538 | + | 0.939139i | ||||||||
43.2920 | − | 22.7145i | 0.0562327 | − | 0.0295042i | |||||
1105.50 | + | 820.915i | 1.41069 | + | 1.04754i | |||||
38.7156 | − | 42.3880i | 0.0485443 | − | 0.0531490i | |||||
−195.853 | −0.241352 | |||||||||
328.795 | + | 249.770i | 0.398291 | + | 0.302563i | |||||
627.946 | − | 627.946i | 0.747889 | − | 0.747889i | −0.226193 | − | 0.974082i | ||
0.974082 | + | 0.226193i | ||||||||
776.579 | + | 158.053i | 0.909540 | + | 0.185114i | |||||
110.308 | + | 45.6911i | 0.127071 | + | 0.0526344i | |||||
−1197.66 | − | 998.375i | −1.35722 | − | 1.13139i | |||||
−385.219 | − | 159.563i | −0.429520 | − | 0.177913i | |||||
188.178 | − | 519.626i | 0.206480 | − | 0.570163i | |||||
−563.459 | − | 941.343i | −0.608523 | − | 1.01663i | |||||
245.639 | − | 56.5428i | 0.261151 | − | 0.0601133i | |||||
747.095 | − | 747.095i | 0.782021 | − | 0.782021i | −0.198150 | − | 0.980172i | ||
0.980172 | + | 0.198150i | ||||||||
−829.255 | + | 388.320i | −0.854769 | + | 0.400268i | |||||
422.503 | − | 175.007i | 0.428921 | − | 0.177665i | |||||
390.859 | − | 920.450i | 0.390859 | − | 0.920450i | |||||
93.2268 | − | 225.069i | 0.0918457 | − | 0.221735i | −0.871280 | − | 0.490786i | ||
0.963126 | + | 0.269051i | ||||||||
327.125 | − | 358.154i | 0.317551 | − | 0.347672i | |||||
−859.746 | −0.822459 | −0.411230 | − | 0.911532i | ||||||
−0.411230 | + | 0.911532i | ||||||||
490.188 | + | 372.373i | 0.462182 | + | 0.351098i | |||||
−66.2671 | − | 16.6409i | −0.0615906 | − | 0.0154666i | |||||
745.951 | + | 681.324i | 0.683520 | + | 0.624302i | |||||
536.672 | + | 1295.64i | 0.484879 | + | 1.17060i | 0.957266 | + | 0.289209i | ||
−0.472387 | + | 0.881391i | ||||||||
172.605 | − | 553.664i | 0.153786 | − | 0.493300i | |||||
−700.242 | + | 290.050i | −0.615330 | + | 0.254878i | −0.668506 | − | 0.743707i | ||
0.0531754 | + | 0.998585i | ||||||||
−110.067 | − | 566.459i | −0.0954047 | − | 0.490997i | |||||
186.291 | 0.159297 | |||||||||
276.290 | − | 50.5608i | 0.233098 | − | 0.0426566i | |||||
658.201 | − | 658.201i | 0.547950 | − | 0.547950i | −0.377897 | − | 0.925848i | ||
0.925848 | + | 0.377897i | ||||||||
−349.998 | + | 163.896i | −0.287546 | + | 0.134651i | |||||
318.453 | + | 2155.67i | 0.258225 | + | 1.74797i | |||||
−1074.22 | − | 334.889i | −0.859821 | − | 0.268049i | |||||
629.895 | − | 260.911i | 0.497725 | − | 0.206164i | |||||
−108.423 | − | 2394.50i | −0.0845857 | − | 1.86806i | |||||
382.201 | − | 382.201i | 0.294422 | − | 0.294422i | |||||
−308.640 | − | 169.808i | −0.234790 | − | 0.129177i | |||||
705.700 | + | 705.700i | 0.530203 | + | 0.530203i | |||||
−1183.96 | + | 1296.27i | −0.878613 | + | 0.961954i | |||||
−208.171 | − | 502.569i | −0.152603 | − | 0.368415i | |||||
−1840.03 | − | 1533.87i | −1.33258 | − | 1.11085i | |||||
−1264.43 | + | 595.272i | −0.904751 | + | 0.425942i | |||||
105.926 | − | 292.498i | 0.0748937 | − | 0.206808i | |||||
959.974 | + | 959.974i | 0.670739 | + | 0.670739i | 0.957886 | − | 0.287147i | ||
−0.287147 | + | 0.957886i | ||||||||
1443.98 | + | 109.890i | 0.997117 | + | 0.0758828i | |||||
28.2624i | 0.0192897i | |||||||||
−164.096 | − | 844.513i | −0.110709 | − | 0.569759i | |||||
−685.015 | − | 1653.77i | −0.456870 | − | 1.10298i | −0.969658 | − | 0.244467i | ||
0.512787 | − | 0.858516i | ||||||||
−202.446 | + | 18.3711i | −0.133490 | + | 0.0121137i | |||||
−397.870 | + | 164.803i | −0.259397 | + | 0.107446i | |||||
2305.23 | − | 104.381i | 1.48613 | − | 0.0672920i | |||||
−695.435 | + | 416.266i | −0.443359 | + | 0.265381i | |||||
2406.64 | − | 1405.07i | 1.51741 | − | 0.885913i | |||||
698.957i | 0.435883i | 0.975962 | + | 0.217941i | ||||||
−0.975962 | + | 0.217941i | ||||||||
766.829 | − | 34.7220i | 0.473021 | − | 0.0214183i | |||||
−690.919 | − | 286.188i | −0.421604 | − | 0.174634i | 0.161787 | − | 0.986826i | ||
−0.583391 | + | 0.812192i | ||||||||
−335.011 | − | 204.583i | −0.202240 | − | 0.123503i | |||||
104.119 | + | 251.365i | 0.0621871 | + | 0.150133i | |||||
385.313 | − | 1063.99i | 0.227710 | − | 0.628787i | |||||
−351.038 | − | 351.038i | −0.205282 | − | 0.205282i | |||||
911.452 | − | 1319.76i | 0.527461 | − | 0.763751i | |||||
807.643 | + | 1349.29i | 0.462559 | + | 0.772775i | |||||
1252.31 | − | 586.427i | 0.709876 | − | 0.332418i | |||||
172.512 | − | 416.481i | 0.0967928 | − | 0.233678i | |||||
1021.78 | + | 318.539i | 0.567498 | + | 0.176917i | |||||
−197.771 | + | 477.461i | −0.108738 | + | 0.262518i | −0.968877 | − | 0.247543i | ||
0.860139 | + | 0.510060i | ||||||||
163.522 | + | 464.360i | 0.0890101 | + | 0.252766i | |||||
177.952 | + | 177.952i | 0.0959039 | + | 0.0959039i | 0.753431 | − | 0.657527i | ||
−0.657527 | + | 0.753431i | ||||||||
−2199.93 | + | 300.483i | −1.17394 | + | 0.160344i | |||||
− | 3086.51i | − | 1.63091i | |||||||
−226.284 | + | 10.2461i | −0.118406 | + | 0.00536141i | |||||
489.259 | + | 3311.88i | 0.253537 | + | 1.71624i | |||||
−301.819 | + | 27.3889i | −0.154903 | + | 0.0140568i | |||||
1042.15 | − | 2515.97i | 0.529762 | − | 1.27896i | −0.401917 | − | 0.915676i | ||
0.931679 | − | 0.363283i | ||||||||
429.615 | + | 917.439i | 0.216319 | + | 0.461946i | |||||
−497.367 | −0.248074 | |||||||||
−1402.49 | − | 1459.12i | −0.692978 | − | 0.720959i | |||||
855.367 | 0.418710 | |||||||||
−690.549 | − | 1474.66i | −0.334905 | − | 0.715187i | |||||
−53.3116 | + | 128.706i | −0.0256177 | + | 0.0618466i | −0.936171 | − | 0.351546i | ||
0.910553 | + | 0.413392i | ||||||||
−282.444 | − | 3112.47i | −0.134483 | − | 1.48197i | |||||
228.082 | + | 169.367i | 0.107613 | + | 0.0799105i | |||||
−179.493 | + | 8.12742i | −0.0839237 | + | 0.00380006i | |||||
− | 203.594i | − | 0.0943389i | −0.998887 | − | 0.0471695i | ||||
0.998887 | − | 0.0471695i | ||||||||
−83.6463 | + | 110.111i | −0.0384134 | + | 0.0505670i | |||||
1030.16 | + | 1030.16i | 0.468895 | + | 0.468895i | |||||
−3816.41 | − | 776.734i | −1.72180 | − | 0.350428i | |||||
−941.081 | + | 2271.97i | −0.420855 | + | 1.01603i | |||||
−48.3259 | + | 155.015i | −0.0214234 | + | 0.0687198i | |||||
−944.292 | + | 2279.72i | −0.414990 | + | 1.00187i | 0.568788 | + | 0.822484i | ||
−0.983778 | + | 0.179390i | ||||||||
501.675 | − | 234.923i | 0.218574 | − | 0.102353i | |||||
158.623 | + | 525.157i | 0.0685187 | + | 0.226847i | |||||
−1141.80 | − | 245.399i | −0.489014 | − | 0.105100i | |||||
834.417 | + | 834.417i | 0.354342 | + | 0.354342i | |||||
−855.266 | + | 2361.69i | −0.360140 | + | 0.994473i | |||||
134.345 | + | 324.337i | 0.0560973 | + | 0.135431i | 0.949443 | − | 0.313939i | ||
−0.893346 | + | 0.449370i | ||||||||
−2178.78 | + | 526.644i | −0.902205 | + | 0.218076i | |||||
−1693.34 | − | 701.403i | −0.695386 | − | 0.288038i | 0.00685640 | − | 0.999976i | ||
−0.702242 | + | 0.711938i | ||||||||
−337.359 | + | 15.2756i | −0.137399 | + | 0.00622144i | |||||
− | 864.292i | − | 0.349127i | |||||||
4265.32 | + | 1120.76i | 1.70893 | + | 0.449040i | |||||
−768.212 | − | 1283.41i | −0.305298 | − | 0.510046i | |||||
1178.13 | − | 53.3456i | 0.464433 | − | 0.0210295i | |||||
−2076.34 | + | 860.050i | −0.811964 | + | 0.336327i | |||||
141.267 | + | 1556.73i | 0.0548031 | + | 0.603918i | |||||
121.752 | + | 293.934i | 0.0468578 | + | 0.113125i | |||||
2572.42 | + | 1735.38i | 0.982227 | + | 0.662620i | |||||
689.819i | 0.261327i | 0.991427 | + | 0.130664i | ||||||
−0.991427 | + | 0.130664i | ||||||||
−561.381 | + | 439.475i | −0.211011 | + | 0.165189i | |||||
1080.44 | + | 1080.44i | 0.402963 | + | 0.402963i | 0.879276 | − | 0.476313i | ||
−0.476313 | + | 0.879276i | ||||||||
−1017.55 | + | 2809.81i | −0.376576 | + | 1.03986i | |||||
340.039 | + | 252.504i | 0.124875 | + | 0.0927291i | |||||
1658.34 | − | 1989.36i | 0.604353 | − | 0.724985i | |||||
−870.009 | − | 2100.39i | −0.314647 | − | 0.759626i | −0.999521 | − | 0.0309637i | ||
0.684873 | − | 0.728662i | ||||||||
−872.320 | + | 955.064i | −0.313097 | + | 0.342795i | |||||
−3536.09 | − | 3536.09i | −1.25963 | − | 1.25963i | −0.951269 | − | 0.308363i | ||
−0.308363 | − | 0.951269i | ||||||||
102.884 | + | 2826.56i | 0.0363751 | + | 0.999338i | |||||
−803.310 | + | 803.310i | −0.281896 | + | 0.281896i | |||||
31.1679 | + | 688.337i | 0.0108563 | + | 0.239759i | |||||
570.294 | − | 236.224i | 0.197176 | − | 0.0816732i | |||||
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2202.23 | − | 1031.25i | 0.744838 | − | 0.348790i | |||||
3453.81 | − | 3453.81i | 1.15969 | − | 1.15969i | |||||
−1702.27 | − | 365.857i | −0.567457 | − | 0.121960i | |||||
1790.62 | 0.592631 | |||||||||
189.703 | − | 36.8609i | 0.0623370 | − | 0.0121126i | |||||
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0.365115 | + | 0.930963i | ||||||||
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213.194 | + | 514.695i | 0.0685811 | + | 0.165570i | |||||
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194.708 | − | 116.546i | 0.0617628 | − | 0.0369693i | |||||
221.987 | + | 1625.24i | 0.0699274 | + | 0.511962i | |||||
1314.15 | 0.411108 | |||||||||
1445.75 | − | 1582.89i | 0.449168 | − | 0.491774i | |||||
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961.395 | + | 1318.95i | 0.294624 | + | 0.404199i | |||||
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2187.91 | − | 2187.91i | 0.657010 | − | 0.657010i | −0.297661 | − | 0.954672i | ||
0.954672 | + | 0.297661i | ||||||||
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2760.98 | + | 1480.00i | 0.818067 | + | 0.438517i | |||||
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4010.25 | + | 1661.10i | 1.17255 | + | 0.485688i | 0.882036 | − | 0.471182i | ||
0.290518 | + | 0.956870i | ||||||||
699.926 | − | 839.634i | 0.203306 | − | 0.243887i | |||||
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78.8539 | − | 78.8539i | 0.0224598 | − | 0.0224598i | |||||
3153.31 | − | 430.702i | 0.892349 | − | 0.121883i | |||||
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−1300.51 | + | 1423.87i | −0.363321 | + | 0.397784i | |||||
1302.37 | − | 1753.87i | 0.361521 | − | 0.486849i | |||||
3149.89 | + | 6003.43i | 0.868814 | + | 1.65589i | |||||
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2812.35i | 0.761154i | 0.924749 | + | 0.380577i | ||||||
−0.924749 | + | 0.380577i | ||||||||
994.260 | + | 64.7534i | 0.267413 | + | 0.0174159i | |||||
− | 5243.52i | − | 1.40151i | −0.713400 | − | 0.700757i | ||||
0.713400 | − | 0.700757i | ||||||||
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2548.95 | + | 1055.81i | 0.672902 | + | 0.278725i | |||||
1477.85 | − | 4740.52i | 0.387745 | − | 1.24377i | |||||
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1136.05 | + | 1037.63i | 0.294439 | + | 0.268930i | |||||
2669.57 | 0.687696 | |||||||||
6553.08 | + | 1721.89i | 1.67791 | + | 0.440887i | |||||
62.5483 | − | 62.5483i | 0.0159190 | − | 0.0159190i | |||||
2524.80 | − | 3041.45i | 0.638729 | − | 0.769432i | |||||
519.263 | + | 215.086i | 0.130580 | + | 0.0540880i | 0.447017 | − | 0.894526i | ||
−0.316437 | + | 0.948614i | ||||||||
79.5195 | + | 876.287i | 0.0198780 | + | 0.219051i | |||||
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1645.17 | − | 984.751i | 0.404019 | − | 0.241833i | |||||
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811.327 | − | 811.327i | 0.196923 | − | 0.196923i | −0.601757 | − | 0.798679i | ||
0.798679 | + | 0.601757i | ||||||||
−33.9003 | − | 72.3939i | −0.00818040 | − | 0.0174692i | |||||
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1433.31 | + | 1966.38i | 0.341885 | + | 0.469038i | |||||
1348.91 | − | 3256.57i | 0.319907 | − | 0.772324i | |||||
3738.33 | + | 3414.46i | 0.881508 | + | 0.805137i | |||||
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496.527 | − | 289.888i | 0.115754 | − | 0.0675811i | |||||
2051.00 | + | 3426.51i | 0.475442 | + | 0.794297i | |||||
821.462 | − | 899.382i | 0.189350 | − | 0.207311i | |||||
−473.218 | − | 1142.45i | −0.108466 | − | 0.261860i | |||||
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1282.05 | − | 1900.43i | 0.288973 | − | 0.428356i | |||||
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117.560 | − | 117.560i | 0.0260626 | − | 0.0260626i | |||||
−838.389 | − | 1790.37i | −0.184850 | − | 0.394746i | |||||
226.277 | − | 2269.75i | 0.0496182 | − | 0.497713i | |||||
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0.139139 | + | 0.990273i | ||||||||
2113.06 | − | 95.6792i | 0.455874 | − | 0.0206419i | |||||
5306.30 | − | 5306.30i | 1.13864 | − | 1.13864i | |||||
1103.52 | + | 122.197i | 0.235529 | + | 0.0260810i | |||||
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2664.72 | + | 6433.20i | 0.559721 | + | 1.35129i | 0.909987 | + | 0.414636i | ||
−0.350266 | + | 0.936650i | ||||||||
289.259 | + | 3187.57i | 0.0604379 | + | 0.666012i | |||||
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1320.25 | + | 478.116i | 0.272964 | + | 0.0988517i | |||||
1212.32 | + | 1212.32i | 0.249342 | + | 0.249342i | |||||
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10255.3i | 2.08738i | |||||||||
−3687.22 | − | 2487.44i | −0.746625 | − | 0.503680i | |||||
−563.008 | − | 1359.22i | −0.113416 | − | 0.273811i | |||||
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5022.19 | − | 2080.26i | 1.00136 | − | 0.414778i | 0.179066 | − | 0.983837i | ||
0.822297 | + | 0.569059i | ||||||||
57.6747 | + | 1273.74i | 0.0114410 | + | 0.252673i | |||||
2307.65 | − | 9189.46i | 0.455445 | − | 1.81366i | |||||
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− | 1322.86i | − | 0.258451i | |||||||
−66.1194 | − | 1460.24i | −0.0128530 | − | 0.283856i | |||||
−4898.73 | − | 2029.12i | −0.947494 | − | 0.392465i | |||||
−975.853 | − | 993.312i | −0.187803 | − | 0.191163i | |||||
−34.0881 | − | 82.2960i | −0.00652759 | − | 0.0157590i | |||||
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−239.867 | − | 239.867i | −0.0454785 | − | 0.0454785i | |||||
5274.68 | − | 3408.47i | 0.995144 | − | 0.643057i | |||||
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3702.22 | + | 7906.06i | 0.691640 | + | 1.47699i | |||||
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0.850848 | + | 0.525412i | ||||||||
567.334 | − | 297.670i | 0.104957 | − | 0.0550692i | |||||
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−0.983529 | + | 0.180751i | ||||||||
740.255 | − | 432.184i | 0.134323 | − | 0.0784218i | |||||
− | 10630.6i | − | 1.91974i | −0.280448 | − | 0.959869i | ||||
0.280448 | − | 0.959869i | ||||||||
348.415 | + | 7694.69i | 0.0626185 | + | 1.38292i | |||||
733.107 | − | 987.253i | 0.131130 | − | 0.176589i | |||||
−2200.91 | − | 1834.69i | −0.391806 | − | 0.326613i | |||||
270.066 | − | 651.998i | 0.0478500 | − | 0.115520i | −0.898147 | − | 0.439695i | ||
0.945997 | + | 0.324175i | ||||||||
1274.00 | − | 596.584i | 0.224662 | − | 0.105204i | |||||
−2566.62 | −0.450480 | |||||||||
5342.65 | + | 2055.25i | 0.933323 | + | 0.359037i | |||||
1952.78 | 0.339544 | |||||||||
−2191.01 | + | 1026.00i | −0.379194 | + | 0.177568i | |||||
4624.83 | − | 11165.3i | 0.796696 | − | 1.92339i | |||||
3537.67 | + | 2949.03i | 0.606596 | + | 0.505663i | |||||
337.348 | − | 3383.89i | 0.0575775 | − | 0.577552i | |||||
−17.8233 | − | 393.625i | −0.00302804 | − | 0.0668738i | |||||
1055.40i | 0.178482i | |||||||||
4456.84 | + | 7633.77i | 0.750268 | + | 1.28508i | |||||
−606.357 | − | 606.357i | −0.101610 | − | 0.101610i | |||||
−787.384 | − | 160.252i | −0.131346 | − | 0.0267321i | |||||
−1170.83 | + | 2826.63i | −0.194424 | + | 0.469382i | −0.990786 | − | 0.135439i | ||
0.796361 | + | 0.604821i | ||||||||
450.020 | − | 236.117i | 0.0743917 | − | 0.0390320i | |||||
−1283.06 | + | 3097.57i | −0.211144 | + | 0.509748i | |||||
244.208 | + | 521.505i | 0.0400075 | + | 0.0854356i | |||||
8846.88 | + | 2221.62i | 1.44286 | + | 0.362329i | |||||
82.1827 | − | 382.381i | 0.0133435 | − | 0.0620851i | |||||
−2095.81 | − | 2095.81i | −0.338771 | − | 0.338771i | 0.517133 | − | 0.855905i | ||
−0.855905 | + | 0.517133i | ||||||||
−3874.42 | − | 1403.09i | −0.623493 | − | 0.225793i | |||||
−496.018 | − | 1197.49i | −0.0794691 | − | 0.191855i | |||||
10707.4 | − | 2588.13i | 1.70791 | − | 0.412827i | |||||
−5048.23 | − | 2091.04i | −0.801692 | − | 0.332072i | |||||
−314.625 | − | 6948.45i | −0.0497456 | − | 1.09862i | |||||
2926.13i | 0.460631i | |||||||||
−62.1521 | − | 455.036i | −0.00974133 | − | 0.0713195i | |||||
2942.89 | + | 739.016i | 0.459246 | + | 0.115325i | |||||
−315.699 | − | 6972.15i | −0.0490522 | − | 1.08331i | |||||
5881.56 | − | 2436.22i | 0.909909 | − | 0.376897i | 0.121887 | − | 0.992544i | ||
0.788022 | + | 0.615647i | ||||||||
−1003.25 | + | 1203.50i | −0.154540 | + | 0.185387i | |||||
1022.77 | + | 2469.20i | 0.156871 | + | 0.378719i | 0.982701 | − | 0.185199i | ||
−0.825830 | + | 0.563919i | ||||||||
−1036.23 | − | 1154.92i | −0.158254 | − | 0.176380i | |||||
− | 1972.20i | − | 0.299909i | |||||||
3219.06 | − | 740.984i | 0.487434 | − | 0.112200i | |||||
−2600.94 | − | 2600.94i | −0.392164 | − | 0.392164i | 0.483294 | − | 0.875458i | ||
−0.875458 | + | 0.483294i | ||||||||
−3138.22 | − | 1136.48i | −0.471171 | − | 0.170631i | |||||
2666.74 | − | 3591.22i | 0.398692 | − | 0.536907i | |||||
−642.057 | − | 7075.33i | −0.0955870 | − | 1.05335i | |||||
−288.025 | − | 695.354i | −0.0427000 | − | 0.103087i | |||||
−733.161 | − | 669.642i | −0.108237 | − | 0.0988595i | |||||
380.108 | + | 380.108i | 0.0558812 | + | 0.0558812i | 0.734495 | − | 0.678614i | ||
−0.678614 | + | 0.734495i | ||||||||
4949.23 | − | 3962.41i | 0.724576 | − | 0.580104i | |||||
−1958.61 | + | 1958.61i | −0.285554 | + | 0.285554i | |||||
5178.79 | − | 234.495i | 0.751909 | − | 0.0340464i | |||||
1283.91 | − | 531.813i | 0.185641 | − | 0.0768951i | |||||
845.819 | − | 443.785i | 0.121794 | − | 0.0639029i | |||||
5407.37 | − | 798.822i | 0.775438 | − | 0.114554i | |||||
1036.71 | + | 2213.88i | 0.148059 | + | 0.316178i | |||||
1761.24 | − | 1761.24i | 0.250507 | − | 0.250507i | −0.570672 | − | 0.821178i | ||
0.821178 | + | 0.570672i | ||||||||
−12269.9 | + | 2245.38i | −1.73808 | + | 0.318067i | |||||
9790.28 | 1.38120 | |||||||||
3507.20 | + | 2365.99i | 0.492786 | + | 0.332438i | |||||
1448.26 | − | 599.888i | 0.202668 | − | 0.0839478i | |||||
−2953.78 | + | 1549.79i | −0.411683 | + | 0.216002i | |||||
3327.94 | + | 8034.36i | 0.461969 | + | 1.11529i | 0.967588 | + | 0.252534i | ||
−0.505619 | + | 0.862757i | ||||||||
4286.92 | − | 4693.55i | 0.592704 | − | 0.648925i | |||||
92.0197 | + | 1943.85i | 0.0126717 | + | 0.267680i | |||||
−2229.13 | − | 3818.11i | −0.305742 | − | 0.523681i | |||||
−3826.48 | −0.522742 | |||||||||
−664.436 | − | 606.871i | −0.0904098 | − | 0.0825769i | |||||
−1500.77 | + | 3623.17i | −0.203402 | + | 0.491055i | −0.992358 | − | 0.123395i | ||
0.788956 | + | 0.614450i | ||||||||
−8670.80 | − | 1359.58i | −1.17053 | − | 0.183539i | |||||
1746.52 | − | 723.433i | 0.234848 | − | 0.0972771i | |||||
−827.427 | − | 1766.96i | −0.110824 | − | 0.236664i | |||||
2216.63 | − | 2216.63i | 0.295730 | − | 0.295730i | −0.543609 | − | 0.839339i | ||
0.839339 | + | 0.543609i | ||||||||
910.828 | − | 1799.08i | 0.121043 | − | 0.239085i | |||||
−868.420 | − | 218.077i | −0.114958 | − | 0.0288681i | |||||
−4063.51 | − | 1471.57i | −0.535822 | − | 0.194043i | |||||
−469.937 | − | 194.654i | −0.0617267 | − | 0.0255680i | |||||
−763.884 | − | 8417.83i | −0.0999493 | − | 1.10142i | |||||
14139.1 | + | 5856.61i | 1.84288 | + | 0.763347i | 0.949226 | + | 0.314596i | ||
0.893657 | + | 0.448751i | ||||||||
−1173.88 | − | 238.914i | −0.152415 | − | 0.0310202i | |||||
−16973.3 | + | 16973.3i | −2.19534 | + | 2.19534i | |||||
−1861.63 | + | 7084.88i | −0.239863 | + | 0.912858i | |||||
−2492.55 | −0.319931 | |||||||||
4747.90 | + | 4336.56i | 0.607096 | + | 0.554499i | |||||
585.215 | + | 3961.43i | 0.0745452 | + | 0.504610i | |||||
1088.86 | − | 3492.72i | 0.138174 | − | 0.443222i | |||||
−2906.41 | − | 1203.87i | −0.367427 | − | 0.152193i | 0.191328 | − | 0.981526i | ||
−0.558755 | + | 0.829333i | ||||||||
13299.1 | + | 4816.17i | 1.67494 | + | 0.606565i | |||||
599.668i | 0.0752404i | |||||||||
−3653.95 | − | 7116.79i | −0.456744 | − | 0.889598i | |||||
3501.36i | 0.436034i | 0.975945 | + | 0.218017i | ||||||
−0.975945 | + | 0.218017i | ||||||||
1094.11 | − | 3021.23i | 0.135745 | − | 0.374839i | |||||
−7526.22 | − | 3117.46i | −0.930292 | − | 0.385340i | |||||
−905.487 | − | 1725.78i | −0.111509 | − | 0.212527i | |||||
−940.654 | − | 6367.46i | −0.115411 | − | 0.781239i | |||||
−1177.46 | + | 1289.14i | −0.143932 | + | 0.157584i | |||||
2441.31 | 0.297325 | |||||||||
−525.150 | − | 3844.80i | −0.0637226 | − | 0.466534i | |||||
−2554.77 | + | 2554.77i | −0.308864 | + | 0.308864i | −0.844469 | − | 0.535605i | ||
0.535605 | + | 0.844469i | ||||||||
2463.77 | − | 12105.5i | 0.296773 | − | 1.45816i | |||||
899.187 | + | 372.455i | 0.107916 | + | 0.0447004i | |||||
−4404.02 | + | 5283.09i | −0.526628 | + | 0.631745i | |||||
−3436.11 | − | 1423.28i | −0.409395 | − | 0.169577i | |||||
−4704.11 | + | 12989.7i | −0.558440 | + | 1.54205i | |||||
−688.846 | − | 172.982i | −0.0814798 | − | 0.0204611i | |||||
4799.18 | − | 1104.71i | 0.565624 | − | 0.130199i | |||||
−736.344 | + | 736.344i | −0.0864722 | + | 0.0864722i | |||||
−4586.66 | + | 2147.83i | −0.536701 | + | 0.251324i | |||||
−3963.99 | + | 1641.94i | −0.462181 | + | 0.191442i | −0.601609 | − | 0.798791i | ||
0.139428 | + | 0.990232i | ||||||||
−441.709 | + | 321.965i | −0.0513171 | + | 0.0374054i | |||||
2849.62 | − | 6879.60i | 0.329886 | − | 0.796416i | −0.668714 | − | 0.743520i | ||
0.998600 | − | 0.0528961i | ||||||||
221.483 | − | 242.492i | 0.0255489 | − | 0.0279723i | |||||
−4896.71 | −0.562852 | |||||||||
8007.81 | − | 1093.76i | 0.917202 | − | 0.125278i | |||||
−13568.5 | − | 7273.27i | −1.54863 | − | 0.830130i | |||||
−1163.46 | − | 1062.66i | −0.132324 | − | 0.120860i | |||||
1042.45 | + | 2516.69i | 0.118144 | + | 0.285225i | |||||
10710.7 | + | 3339.06i | 1.20963 | + | 0.377102i | |||||
−638.659 | + | 264.541i | −0.0718759 | + | 0.0297720i | |||||
−358.948 | + | 532.082i | −0.0402558 | + | 0.0596728i | |||||
16102.3 | 1.79958 | 0.899789 | − | 0.436325i | ||||||
0.899789 | + | 0.436325i | ||||||||
−2518.07 | − | 3896.77i | −0.280442 | − | 0.433990i | |||||
−10666.3 | + | 10666.3i | −1.18381 | + | 1.18381i | −0.205062 | + | 0.978749i | ||
−0.978749 | + | 0.205062i | ||||||||
−3366.19 | + | 1576.31i | −0.372310 | + | 0.174344i | |||||
2166.19 | − | 320.008i | 0.238761 | − | 0.0352717i | |||||
−1804.63 | + | 5788.72i | −0.198225 | + | 0.635847i | |||||
17669.2 | − | 7318.84i | 1.93417 | − | 0.801161i | |||||
−87.0983 | − | 1923.55i | −0.00950163 | − | 0.209842i | |||||
−7409.97 | + | 7409.97i | −0.805601 | + | 0.805601i | −0.983965 | − | 0.178364i | ||
0.178364 | + | 0.983965i | ||||||||
−4044.67 | − | 2225.31i | −0.438232 | − | 0.241108i | |||||
5736.93 | + | 5736.93i | 0.619472 | + | 0.619472i | |||||
6391.21 | − | 6997.45i | 0.687781 | − | 0.753020i | |||||
1271.21 | + | 3068.97i | 0.136336 | + | 0.329144i | 0.977272 | − | 0.211991i | ||
−0.840936 | + | 0.541135i | ||||||||
954.269 | − | 1144.75i | 0.101999 | − | 0.122359i | |||||
−5919.26 | + | 7971.29i | −0.630561 | + | 0.849158i | |||||
−2979.95 | + | 8228.68i | −0.316378 | + | 0.873630i | |||||
508.853 | + | 508.853i | 0.0538432 | + | 0.0538432i | |||||
1104.59 | − | 1956.78i | 0.116489 | − | 0.206360i | |||||
9677.29i | 1.01715i | 0.861018 | + | 0.508574i | ||||||
−0.861018 | + | 0.508574i | ||||||||
−8847.45 | − | 479.247i | −0.926828 | − | 0.0502043i | |||||
−2728.04 | − | 6586.08i | −0.284830 | − | 0.687642i | |||||
−672.993 | − | 7416.23i | −0.0700330 | − | 0.771748i | |||||
323.755 | − | 134.104i | 0.0335791 | − | 0.0139089i | |||||
−12264.7 | + | 555.344i | −1.26786 | + | 0.0574088i | |||||
−1294.70 | − | 325.123i | −0.133398 | − | 0.0334989i | |||||
−785.724 | + | 2990.27i | −0.0806905 | + | 0.307088i | |||||
− | 3725.75i | − | 0.381364i | −0.981652 | − | 0.190682i | ||||
0.981652 | − | 0.190682i | ||||||||
257.859 | − | 11.6758i | 0.0263078 | − | 0.00119121i | |||||
−8248.61 | − | 3416.69i | −0.838806 | − | 0.347445i | |||||
14877.7 | + | 9085.46i | 1.50799 | + | 0.920895i | |||||
1245.99 | + | 3008.08i | 0.125881 | + | 0.303905i | 0.974239 | − | 0.225520i | ||
−0.848357 | + | 0.529424i | ||||||||
−107.399 | + | 296.567i | −0.0108153 | + | 0.0298649i | |||||
9723.04 | + | 9723.04i | 0.975957 | + | 0.975957i | 0.999718 | − | 0.0237606i | ||
−0.0237606 | + | 0.999718i | ||||||||
−7560.56 | + | 4885.59i | −0.756444 | + | 0.488810i | |||||
4521.35 | + | 1135.40i | 0.450909 | + | 0.113232i | |||||
6017.53 | − | 2817.87i | 0.598190 | − | 0.280118i | |||||
−2481.47 | + | 5990.80i | −0.245886 | + | 0.593621i | −0.997847 | − | 0.0655865i | ||
0.751961 | + | 0.659208i | ||||||||
1623.34 | − | 5207.18i | 0.160339 | − | 0.514320i | |||||
1370.23 | − | 3308.02i | 0.134906 | − | 0.325693i | |||||
−1232.28 | + | 6054.69i | −0.120938 | + | 0.594217i | |||||
−2681.39 | − | 2681.39i | −0.262318 | − | 0.262318i | |||||
−15269.4 | − | 11599.5i | −1.48905 | − | 1.13116i | |||||
370.374i | 0.0360039i | |||||||||
1409.19 | − | 63.8080i | 0.136553 | − | 0.00618311i | |||||
7770.10 | + | 9490.89i | 0.750562 | + | 0.916783i | |||||
−390.789 | − | 4306.41i | −0.0376298 | − | 0.414672i | |||||
3425.56 | − | 8270.03i | 0.328817 | − | 0.793833i | |||||
−3373.37 | − | 7203.81i | −0.322792 | − | 0.689319i | |||||
11217.1 | 1.06999 | 0.534993 | − | 0.844856i | ||||||
0.534993 | + | 0.844856i | ||||||||
−2624.46 | + | 1026.74i | −0.249562 | + | 0.0976330i | |||||
3639.66 | 0.345019 | |||||||||
6289.52 | + | 13431.2i | 0.594357 | + | 1.26924i | |||||
455.802 | − | 1100.40i | 0.0429394 | − | 0.103665i | |||||
7951.41 | − | 721.558i | 0.746751 | − | 0.0677647i | |||||
−7042.41 | + | 9483.80i | −0.659339 | + | 0.887911i | |||||
−7795.54 | + | 352.982i | −0.727598 | + | 0.0329456i | |||||
8810.28i | 0.819778i | 0.912135 | + | 0.409889i | ||||||
−0.912135 | + | 0.409889i | ||||||||
1900.67 | + | 13915.5i | 0.176310 | + | 1.29083i | |||||
137.167 | + | 137.167i | 0.0126849 | + | 0.0126849i | |||||
8537.32 | − | 5649.88i | 0.787096 | − | 0.520889i | |||||
−5828.62 | + | 14071.5i | −0.535727 | + | 1.29336i | 0.391954 | + | 0.919985i | ||
−0.927681 | + | 0.373375i | ||||||||
−4154.60 | − | 1295.20i | −0.380699 | − | 0.118683i | |||||
−6629.08 | + | 16004.0i | −0.605596 | + | 1.46204i | |||||
−6838.09 | + | 3202.12i | −0.622794 | + | 0.291640i | |||||
−4387.07 | + | 2625.96i | −0.398352 | + | 0.238441i | |||||
−18851.0 | + | 3449.72i | −1.70652 | + | 0.312292i | |||||
−1241.58 | − | 1241.58i | −0.112057 | − | 0.112057i | |||||
−85.1911 | + | 235.243i | −0.00766567 | + | 0.0211676i | |||||
−7242.18 | − | 17484.2i | −0.649709 | − | 1.56854i | −0.813196 | − | 0.581990i | ||
0.163487 | − | 0.986545i | ||||||||
−2819.08 | + | 10819.1i | −0.252146 | + | 0.967689i | |||||
−261.918 | − | 108.490i | −0.0233565 | − | 0.00967460i | |||||
−1588.08 | + | 71.9082i | −0.141194 | + | 0.00639326i | |||||
2667.87i | 0.236490i | 0.992984 | + | 0.118245i | ||||||
−0.992984 | + | 0.118245i | ||||||||
−1254.78 | − | 2149.22i | −0.110898 | − | 0.189948i | |||||
−663.371 | + | 2641.66i | −0.0584547 | + | 0.232777i | |||||
10049.2 | − | 455.026i | 0.882886 | − | 0.0399770i | |||||
1874.22 | − | 776.327i | 0.164176 | − | 0.0680038i | |||||
10816.4 | − | 981.546i | 0.944687 | − | 0.0857265i | |||||
−2186.69 | − | 5279.15i | −0.190419 | − | 0.459713i | 0.799619 | − | 0.600507i | ||
−0.990039 | + | 0.140794i | ||||||||
−3032.91 | + | 4495.79i | −0.263332 | + | 0.390347i | |||||
− | 2145.64i | − | 0.185749i | |||||||
8072.01 | − | 8310.26i | 0.696749 | − | 0.717315i | |||||
5030.03 | + | 5030.03i | 0.432907 | + | 0.432907i | |||||
−1105.03 | + | 3051.38i | −0.0948265 | + | 0.261849i | |||||
9509.05 | − | 1404.76i | 0.813629 | − | 0.120196i | |||||
173.671 | + | 144.773i | 0.0148167 | + | 0.0123513i | |||||
1364.46 | + | 3294.10i | 0.116071 | + | 0.280221i | |||||
1119.97 | − | 1226.20i | 0.0949974 | − | 0.104008i | |||||
2429.61 | + | 2429.61i | 0.205487 | + | 0.205487i | |||||
−6030.06 | − | 3317.63i | −0.508530 | − | 0.279784i | |||||
10176.2 | − | 10176.2i | 0.855713 | − | 0.855713i | −0.135117 | − | 0.990830i | ||
0.990830 | + | 0.135117i | ||||||||
450.973 | + | 9959.67i | 0.0378133 | + | 0.835101i | |||||
1426.49 | − | 590.871i | 0.119266 | − | 0.0494015i | −0.322253 | − | 0.946654i | ||
0.441518 | + | 0.897252i | ||||||||
−13671.3 | − | 4262.02i | −1.13976 | − | 0.355319i | |||||
760.125 | + | 75.7786i | 0.0631896 | + | 0.00629952i | |||||
11283.4 | − | 5283.74i | 0.935320 | − | 0.437988i | |||||
−26077.2 | + | 26077.2i | −2.15549 | + | 2.15549i | |||||
−924.133 | + | 1338.12i | −0.0761700 | + | 0.110292i | |||||
−25819.4 | −2.12209 | |||||||||
−9363.67 | − | 6316.83i | −0.767419 | − | 0.517708i | |||||
−19621.3 | + | 8127.42i | −1.60357 | + | 0.664218i | |||||
−1025.37 | + | 3289.09i | −0.0835630 | + | 0.268045i | |||||
−4067.14 | − | 9818.95i | −0.330521 | − | 0.797947i | |||||
2582.49 | + | 2358.75i | 0.209280 | + | 0.191148i | |||||
−8052.72 | − | 13453.3i | −0.650747 | − | 1.08717i | |||||
11167.1 | − | 14700.2i | 0.899895 | − | 1.18461i | |||||
488.839 | 0.0392830 | |||||||||
8637.60 | − | 9456.92i | 0.692181 | − | 0.757837i | |||||
2260.74 | − | 5457.91i | 0.180662 | − | 0.436157i | |||||
−1004.42 | + | 6405.72i | −0.0800429 | + | 0.510478i | |||||
−4024.70 | + | 1667.09i | −0.319844 | + | 0.132484i | −0.536829 | − | 0.843691i | ||
0.216985 | + | 0.976175i | ||||||||
7321.14 | − | 3428.32i | 0.580203 | − | 0.271695i | |||||
−1804.67 | + | 1804.67i | −0.142626 | + | 0.142626i | |||||
3693.85 | − | 21986.1i | 0.291126 | − | 1.73281i | |||||
7270.97 | − | 4352.18i | 0.571475 | − | 0.342067i | |||||
−160.118 | + | 442.142i | −0.0125502 | + | 0.0346555i | |||||
−7683.09 | − | 3182.44i | −0.600558 | − | 0.248759i | 0.0616277 | − | 0.998099i | ||
−0.662185 | + | 0.749340i | ||||||||
4295.05 | + | 3580.39i | 0.334809 | + | 0.279099i | |||||
14371.1 | + | 5952.71i | 1.11720 | + | 0.462761i | |||||
2142.93 | + | 6085.36i | 0.166136 | + | 0.471783i | |||||
9759.30 | − | 9759.30i | 0.754556 | − | 0.754556i | |||||
3714.70 | − | 4889.98i | 0.286427 | − | 0.377050i | |||||
1571.89 | 0.120875 | |||||||||
4404.21 | − | 4821.97i | 0.337756 | − | 0.369794i | |||||
−2060.43 | + | 304.384i | −0.157586 | + | 0.0232800i | |||||
−5297.82 | + | 2779.67i | −0.404096 | + | 0.212022i | |||||
10501.9 | + | 4350.01i | 0.798883 | + | 0.330908i | 0.744509 | − | 0.667612i | ||
0.0543741 | + | 0.998521i | ||||||||
−7227.21 | + | 19956.9i | −0.548302 | + | 1.51405i | |||||
552.178i | 0.0417793i | |||||||||
−2973.24 | + | 1010.65i | −0.224361 | + | 0.0762641i | |||||
3129.45i | 0.235518i | |||||||||
14957.5 | + | 5416.74i | 1.12268 | + | 0.406568i | |||||
23610.3 | + | 9779.70i | 1.76742 | + | 0.732087i | 0.995326 | + | 0.0965736i | ||
0.772089 | + | 0.635514i | ||||||||
2077.97 | + | 647.806i | 0.155139 | + | 0.0483644i | |||||
−6204.46 | + | 8355.36i | −0.461989 | + | 0.622146i | |||||
−14542.2 | − | 13282.3i | −1.07995 | − | 0.986389i | |||||
−2526.60 | −0.187138 | |||||||||
−4564.38 | − | 7817.96i | −0.337178 | − | 0.577525i | |||||
14640.3 | − | 14640.3i | 1.07865 | − | 1.07865i | 0.0820220 | − | 0.996631i | ||
0.996631 | − | 0.0820220i | ||||||||
3603.29 | − | 2384.60i | 0.264781 | − | 0.175228i | |||||
9537.59 | + | 3950.60i | 0.699012 | + | 0.289540i | 0.703749 | − | 0.710449i | ||
−0.00473738 | + | 0.999989i | ||||||||
−3955.29 | + | 358.927i | −0.289124 | + | 0.0262369i | |||||
887.431 | + | 367.586i | 0.0646997 | + | 0.0267995i | |||||
−4559.52 | − | 1651.19i | −0.331552 | − | 0.120069i | |||||
−7044.37 | − | 23322.0i | −0.510905 | − | 1.69147i | |||||
−3440.97 | − | 12361.3i | −0.248913 | − | 0.894188i | |||||
5329.12 | − | 5329.12i | 0.384496 | − | 0.384496i | −0.488223 | − | 0.872719i | ||
0.872719 | + | 0.488223i | ||||||||
−12301.1 | − | 26268.8i | −0.885220 | − | 1.89038i | |||||
1965.69 | − | 814.216i | 0.141090 | − | 0.0584416i | |||||
12428.4 | + | 1948.78i | 0.889763 | + | 0.139515i | |||||
−106.690 | + | 257.573i | −0.00761833 | + | 0.0183923i | |||||
3072.51 | + | 2806.32i | 0.218831 | + | 0.199872i | |||||
−6517.91 | −0.463026 | |||||||||
2811.36 | − | 10699.3i | 0.199204 | − | 0.758119i | |||||
−6540.52 | + | 3914.95i | −0.462252 | + | 0.276690i | |||||
−10369.0 | + | 11352.6i | −0.730958 | + | 0.800293i | |||||
−7340.17 | − | 17720.7i | −0.516118 | − | 1.24602i | −0.940271 | − | 0.340428i | ||
0.424153 | − | 0.905591i | ||||||||
−1675.56 | − | 3193.48i | −0.117515 | − | 0.223975i | |||||
27146.4 | − | 11244.4i | 1.89906 | − | 0.786616i | |||||
5111.60 | + | 26306.7i | 0.356680 | + | 1.83564i | |||||
−3165.69 | −0.220337 | |||||||||
7191.43 | − | 4647.06i | 0.499267 | − | 0.322623i | |||||
6821.87 | − | 6821.87i | 0.472413 | − | 0.472413i | −0.430282 | − | 0.902695i | ||
0.902695 | + | 0.430282i | ||||||||
1586.75 | + | 3388.48i | 0.109604 | + | 0.234059i | |||||
−3602.77 | + | 4851.74i | −0.248234 | + | 0.334289i | |||||
1920.90 | + | 3661.07i | 0.132018 | + | 0.251616i | |||||
−6433.36 | + | 2664.78i | −0.441038 | + | 0.182684i | |||||
14981.9 | − | 678.382i | 1.02451 | − | 0.0463898i | |||||
−4493.46 | + | 4493.46i | −0.306507 | + | 0.306507i | −0.843553 | − | 0.537046i | ||
0.537046 | + | 0.843553i | ||||||||
3691.10 | + | 1373.84i | 0.251148 | + | 0.0934778i | |||||
−2816.44 | − | 2816.44i | −0.191157 | − | 0.191157i | 0.605039 | − | 0.796196i | ||
−0.796196 | + | 0.605039i | ||||||||
186.029 | + | 169.912i | 0.0125947 | + | 0.0115035i | |||||
−7824.44 | − | 18889.9i | −0.528417 | − | 1.27571i | |||||
2005.05 | − | 181.950i | 0.135074 | − | 0.0122574i | |||||
−8958.31 | − | 6652.19i | −0.601995 | − | 0.447025i | |||||
902.133 | + | 326.700i | 0.0604730 | + | 0.0218998i | |||||
9851.85 | + | 9851.85i | 0.658772 | + | 0.658772i | 0.955089 | − | 0.296318i | ||
−0.296318 | + | 0.955089i | ||||||||
−9422.64 | + | 15057.7i | −0.628517 | + | 1.00439i | |||||
− | 859.544i | − | 0.0571929i | |||||||
10977.0 | − | 16271.6i | 0.728598 | − | 1.08003i | |||||
2034.22 | + | 4911.05i | 0.134690 | + | 0.325172i | |||||
−18966.4 | − | 15810.5i | −1.25273 | − | 1.04429i | |||||
26460.6 | − | 10960.3i | 1.74345 | − | 0.722159i | 0.744963 | − | 0.667106i | ||
0.998483 | − | 0.0550534i | ||||||||
−219.966 | − | 4857.90i | −0.0144578 | − | 0.319298i | |||||
3123.59 | + | 5218.43i | 0.204805 | + | 0.342158i | |||||
−1096.17 | + | 1442.99i | −0.0716981 | + | 0.0943825i | |||||
− | 3562.11i | − | 0.232423i | −0.993224 | − | 0.116211i | ||||
0.993224 | − | 0.116211i | ||||||||
−153.165 | − | 3382.63i | −0.00996960 | − | 0.220177i | |||||
−18858.4 | − | 7811.41i | −1.22453 | − | 0.507217i | −0.325682 | − | 0.945479i | ||
−0.898847 | + | 0.438263i | ||||||||
22857.5 | + | 13958.6i | 1.48061 | + | 0.904176i | |||||
−5406.93 | − | 13053.5i | −0.349392 | − | 0.843508i | |||||
16559.1 | + | 5996.73i | 1.06746 | + | 0.386571i | |||||
2755.88 | + | 2755.88i | 0.177226 | + | 0.177226i | |||||
−1377.76 | + | 1994.96i | −0.0883885 | + | 0.127985i | |||||
13012.3 | − | 8649.86i | 0.832789 | − | 0.553591i | |||||
12751.3 | + | 27230.2i | 0.814127 | + | 1.73856i | |||||
954.174 | − | 2303.58i | 0.0607752 | − | 0.146724i | |||||
−10122.1 | − | 19292.0i | −0.643180 | − | 1.22585i | |||||
6305.43 | − | 15222.7i | 0.399704 | − | 0.964972i | |||||
−693.651 | + | 3408.19i | −0.0438662 | + | 0.215533i | |||||
7732.51 | + | 7732.51i | 0.487839 | + | 0.487839i | 0.907624 | − | 0.419785i | ||
−0.419785 | + | 0.907624i | ||||||||
7838.30 | + | 2059.59i | 0.493340 | + | 0.129630i | |||||
161.683i | 0.0101522i | |||||||||
90.2895 | + | 1994.03i | 0.00565592 | + | 0.124910i | |||||
−12186.1 | − | 9049.08i | −0.761561 | − | 0.565515i | |||||
−2547.75 | + | 3056.29i | −0.158844 | + | 0.190550i | |||||
3370.46 | − | 8137.00i | 0.209643 | − | 0.506122i | |||||
6574.37 | − | 3078.62i | 0.407965 | − | 0.191040i | |||||
−10026.5 | −0.620723 | |||||||||
−16150.4 | + | 1143.93i | −0.997501 | + | 0.0706528i | |||||
10687.2 | 0.658534 | 0.329267 | − | 0.944237i | ||||||
0.329267 | + | 0.944237i | ||||||||
−5002.03 | + | 2342.33i | −0.307499 | + | 0.143994i | |||||
5562.66 | − | 13429.4i | 0.341166 | − | 0.823648i | −0.656432 | − | 0.754385i | ||
0.997598 | − | 0.0692630i | ||||||||
4381.59 | − | 5256.18i | 0.268104 | − | 0.321619i | |||||
−46.1785 | − | 312.591i | −0.00281904 | − | 0.0190826i | |||||
1546.19 | + | 34147.3i | 0.0941703 | + | 2.07973i | |||||
6534.02i | 0.397031i | 0.980098 | + | 0.198515i | ||||||
−0.980098 | + | 0.198515i | ||||||||
−12599.0 | − | 3310.52i | −0.763790 | − | 0.200694i | |||||
10934.9 | + | 10934.9i | 0.661375 | + | 0.661375i | |||||
3194.81 | + | 9072.45i | 0.192786 | + | 0.547463i | |||||
700.277 | − | 1690.62i | 0.0421598 | − | 0.101783i | |||||
517.801 | + | 986.887i | 0.0311022 | + | 0.0592783i | |||||
−1572.19 | + | 3795.61i | −0.0942186 | + | 0.227464i | −0.963962 | − | 0.266041i | ||
0.869743 | + | 0.493505i | ||||||||
−1265.94 | − | 2703.40i | −0.0756912 | − | 0.161638i | |||||
10278.6 | + | 17172.0i | 0.613158 | + | 1.02437i | |||||
−20572.8 | − | 14207.9i | −1.22444 | − | 0.845619i | |||||
−8663.70 | − | 8663.70i | −0.514464 | − | 0.514464i | |||||
2280.49 | + | 825.861i | 0.135111 | + | 0.0489292i | |||||
−9693.56 | − | 23402.3i | −0.573000 | − | 1.38335i | −0.898989 | − | 0.437972i | ||
0.325988 | − | 0.945374i | ||||||||
2209.10 | − | 533.971i | 0.130286 | − | 0.0314921i | |||||
21979.2 | + | 9104.09i | 1.29333 | + | 0.535716i | 0.919977 | − | 0.391973i | ||
0.373355 | + | 0.927688i | ||||||||
−391.434 | − | 8644.76i | −0.0229812 | − | 0.507535i | |||||
4665.59i | 0.273298i | |||||||||
−869.503 | + | 1144.60i | −0.0508182 | + | 0.0668965i | |||||
4131.29 | − | 2472.86i | 0.240909 | − | 0.144201i | |||||
−428.956 | − | 9473.41i | −0.0249575 | − | 0.551182i | |||||
−25326.5 | + | 10490.6i | −1.47023 | + | 0.608991i | |||||
−1251.08 | − | 1042.91i | −0.0724634 | − | 0.0604060i | |||||
−1648.80 | − | 3980.56i | −0.0952860 | − | 0.230041i | |||||
−25326.0 | + | 4921.05i | −1.46034 | + | 0.283756i | |||||
− | 11326.4i | − | 0.651641i | |||||||
248.151 | + | 1078.04i | 0.0142450 | + | 0.0618845i | |||||
1163.20 | + | 1163.20i | 0.0666242 | + | 0.0666242i | 0.739634 | − | 0.673010i | ||
−0.673010 | + | 0.739634i | ||||||||
7882.28 | + | 2854.50i | 0.450466 | + | 0.163132i | |||||
7011.58 | − | 5740.31i | 0.399816 | − | 0.327326i | |||||
11607.3 | − | 1053.31i | 0.660405 | − | 0.0599291i | |||||
−1872.95 | − | 4521.71i | −0.106327 | − | 0.256696i | 0.861757 | − | 0.507321i | ||
−0.968084 | + | 0.250625i | ||||||||
2706.92 | + | 2472.40i | 0.153331 | + | 0.140047i | |||||
3278.79 | + | 3278.79i | 0.185315 | + | 0.185315i | |||||
−24322.4 | + | 19472.8i | −1.37165 | + | 1.09816i | |||||
4273.91 | − | 4273.91i | 0.240494 | − | 0.240494i | |||||
15439.2 | − | 699.085i | 0.866857 | − | 0.0392512i | |||||
11049.7 | − | 4576.96i | 0.619044 | − | 0.256416i | −0.0510461 | − | 0.998696i | ||
0.670090 | + | 0.742280i | ||||||||
9140.47 | + | 17421.0i | 0.510957 | + | 0.973842i | |||||
−1142.04 | − | 7730.68i | −0.0637009 | − | 0.431203i | |||||
−3509.85 | − | 7495.26i | −0.195345 | − | 0.417158i | |||||
−89.8569 | + | 89.8569i | −0.00499018 | + | 0.00499018i | |||||
705.012 | + | 1091.02i | 0.0390673 | + | 0.0604575i | |||||
−9717.31 | −0.537301 | |||||||||
−8424.63 | + | 1636.97i | −0.464812 | + | 0.0903167i | |||||
10285.8 | − | 4260.53i | 0.566269 | − | 0.234556i | −0.0811353 | − | 0.996703i | ||
0.647404 | + | 0.762147i | ||||||||
9171.66 | + | 17480.4i | 0.503835 | + | 0.960269i | |||||
768.055 | + | 1854.25i | 0.0421010 | + | 0.101641i | |||||
−12143.3 | + | 13295.2i | −0.664200 | + | 0.727203i | |||||
8109.38 | + | 2036.42i | 0.442599 | + | 0.111145i | |||||
1126.23 | − | 4286.15i | 0.0613357 | − | 0.233428i | |||||
−48113.2 | −2.61466 | |||||||||
−5581.59 | − | 5098.02i | −0.302674 | − | 0.276451i | |||||
−1251.84 | + | 3022.21i | −0.0677382 | + | 0.163534i | |||||
4039.60 | + | 1715.37i | 0.218118 | + | 0.0926214i | |||||
15593.9 | − | 6459.21i | 0.840191 | − | 0.348018i | 0.0792621 | − | 0.996854i | ||
0.760929 | + | 0.648835i | ||||||||
2365.62 | + | 5051.77i | 0.127186 | + | 0.271605i | |||||
−9282.83 | + | 9282.83i | −0.498021 | + | 0.498021i | |||||
−7356.80 | + | 5759.24i | −0.393849 | + | 0.308323i | |||||
−1562.30 | − | 2610.05i | −0.0834602 | − | 0.139433i | |||||
9782.07 | + | 3542.49i | 0.521463 | + | 0.188843i | |||||
987.767 | + | 409.146i | 0.0525443 | + | 0.0217645i | |||||
9401.72 | − | 853.168i | 0.499065 | − | 0.0452882i | |||||
−5467.01 | − | 2264.51i | −0.289588 | − | 0.119951i | 0.233160 | − | 0.972438i | ||
−0.522748 | + | 0.852487i | ||||||||
−2523.21 | + | 12397.6i | −0.133373 | + | 0.655314i | |||||
6347.00 | − | 6347.00i | 0.334784 | − | 0.334784i | |||||
10131.4 | + | 17353.2i | 0.533271 | + | 0.913399i | |||||
−58360.9 | −3.06541 | |||||||||
1571.84 | + | 1435.66i | 0.0823875 | + | 0.0752497i | |||||
4456.16 | + | 3309.02i | 0.233078 | + | 0.173077i | |||||
2681.21 | + | 835.867i | 0.139946 | + | 0.0436282i | |||||
3618.00 | + | 1498.63i | 0.188447 | + | 0.0780574i | |||||
−1429.58 | − | 517.710i | −0.0743056 | − | 0.0269091i | |||||
− | 15105.7i | − | 0.783514i | −0.920069 | − | 0.391757i | ||||
0.920069 | − | 0.391757i | ||||||||
−7924.55 | + | 16086.2i | −0.410181 | + | 0.832635i | |||||
− | 3773.19i | − | 0.194897i | |||||||
2667.64 | − | 7366.30i | 0.137506 | − | 0.379702i | |||||
−6745.63 | − | 2794.13i | −0.346988 | − | 0.143727i | |||||
−12984.2 | + | 6812.54i | −0.666509 | + | 0.349705i | |||||
−11137.4 | − | 13603.9i | −0.570528 | − | 0.696879i | |||||
−2650.82 | + | 2902.26i | −0.135511 | + | 0.148365i | |||||
−25073.0 | −1.27910 | −0.639550 | − | 0.768749i | ||||||
−0.639550 | + | 0.768749i | ||||||||
−1634.24 | + | 2151.30i | −0.0831993 | + | 0.109523i | |||||
−8274.74 | + | 8274.74i | −0.420400 | + | 0.420400i | |||||
−12892.8 | + | 8532.24i | −0.653674 | + | 0.432592i | |||||
2309.45 | + | 956.606i | 0.116851 | + | 0.0484013i | |||||
−5311.02 | − | 4427.31i | −0.268171 | − | 0.223549i | |||||
20663.8 | + | 8559.23i | 1.04125 | + | 0.431299i | 0.836760 | − | 0.547570i | ||
0.204488 | + | 0.978869i | ||||||||
−2398.82 | + | 6623.98i | −0.120629 | + | 0.333100i | |||||
−1227.54 | + | 4888.27i | −0.0616033 | + | 0.245315i | |||||
28736.0 | − | 20469.1i | 1.43916 | − | 1.02514i | |||||
−10527.2 | + | 10527.2i | −0.526155 | + | 0.526155i | |||||
−25077.7 | + | 11743.3i | −1.25084 | + | 0.585741i | |||||
−6694.29 | + | 2772.86i | −0.333225 | + | 0.138026i | −0.543022 | − | 0.839719i | ||
0.209797 | + | 0.977745i | ||||||||
−11821.6 | − | 1853.63i | −0.587260 | − | 0.0920822i | |||||
1422.54 | − | 3434.33i | 0.0705243 | − | 0.170261i | |||||
−2990.14 | + | 3273.77i | −0.147940 | + | 0.161973i | |||||
25936.0 | 1.28062 | 0.640309 | − | 0.768117i | ||||||
0.640309 | + | 0.768117i | ||||||||
5707.12 | − | 7512.79i | 0.281227 | − | 0.370204i | |||||
1407.27 | − | 5604.01i | 0.0692060 | − | 0.275591i | |||||
−18161.6 | − | 16588.1i | −0.891345 | − | 0.814122i | |||||
609.235 | + | 1470.82i | 0.0298404 | + | 0.0720410i | |||||
−5351.05 | + | 17164.6i | −0.261569 | + | 0.839037i | |||||
−5686.20 | + | 2355.30i | −0.277396 | + | 0.114901i | |||||
−2567.33 | − | 4868.78i | −0.124994 | − | 0.237044i | |||||
−8285.64 | −0.402593 | −0.201296 | − | 0.979530i | ||||||
−0.201296 | + | 0.979530i | ||||||||
10289.7 | + | 7106.24i | 0.498971 | + | 0.344598i | |||||
553.403 | − | 553.403i | 0.0267824 | − | 0.0267824i | |||||
9801.49 | − | 4589.81i | 0.473408 | − | 0.221686i | |||||
−2258.96 | − | 1677.44i | −0.108890 | − | 0.0808586i | |||||
2429.88 | + | 757.514i | 0.116897 | + | 0.0364425i | |||||
−1015.10 | + | 420.467i | −0.0487375 | + | 0.0201877i | −0.406919 | − | 0.913464i | ||
0.358182 | + | 0.933652i | ||||||||
−501.741 | − | 11080.9i | −0.0240423 | − | 0.530970i | |||||
−3501.86 | + | 3501.86i | −0.167470 | + | 0.167470i | |||||
23841.0 | − | 6917.94i | 1.13790 | − | 0.330184i | |||||
27010.0 | + | 27010.0i | 1.28661 | + | 1.28661i | 0.936831 | + | 0.349781i | ||
0.349781 | + | 0.936831i | ||||||||
−3605.95 | + | 3947.99i | −0.171430 | + | 0.187691i | |||||
−1272.95 | − | 3073.17i | −0.0603982 | − | 0.145814i | |||||
4238.90 | + | 3533.57i | 0.200730 | + | 0.167330i | |||||
5043.11 | + | 34137.7i | 0.238345 | + | 1.61340i | |||||
−3019.07 | + | 8336.70i | −0.142406 | + | 0.393234i | |||||
16302.4 | + | 16302.4i | 0.767467 | + | 0.767467i | |||||
−175.110 | + | 5700.85i | −0.00822750 | + | 0.267854i | |||||
8525.03i | 0.399766i | 0.979820 | + | 0.199883i | ||||||
−0.979820 | + | 0.199883i | ||||||||
2486.03 | − | 483.055i | 0.116351 | − | 0.0226079i | |||||
−611.413 | − | 1476.08i | −0.0285597 | − | 0.0689491i | |||||
12173.8 | − | 1104.72i | 0.567543 | − | 0.0515023i | |||||
−9347.35 | + | 3871.80i | −0.434930 | + | 0.180154i | −0.589396 | − | 0.807844i | ||
0.154466 | + | 0.987998i | ||||||||
1437.22 | − | 65.0774i | 0.0667441 | − | 0.00302217i | |||||
−10822.7 | − | 35831.0i | −0.501630 | − | 1.66076i | |||||
12053.7 | + | 20645.9i | 0.557609 | + | 0.955085i | |||||
817.578i | 0.0377483i | |||||||||
−43242.1 | + | 1958.00i | −1.99268 | + | 0.0902284i | |||||
35416.0 | + | 14669.8i | 1.62890 | + | 0.674711i | |||||
3293.46 | − | 796.078i | 0.151186 | − | 0.0365438i | |||||
2793.87 | + | 6744.99i | 0.128006 | + | 0.309033i | |||||
23117.8 | − | 63836.4i | 1.05715 | − | 2.91916i | |||||
−7209.87 | − | 7209.87i | −0.329068 | − | 0.329068i | |||||
−3729.67 | − | 20380.9i | −0.169901 | − | 0.928428i | |||||
−7415.60 | + | 29530.2i | −0.337164 | + | 1.34265i | |||||
6384.65 | − | 2989.78i | 0.289737 | − | 0.135677i | |||||
5650.30 | − | 13641.0i | 0.255923 | − | 0.617853i | −0.742738 | − | 0.669582i | ||
0.998661 | + | 0.0517291i | ||||||||
−17363.3 | − | 5413.01i | −0.784954 | − | 0.244709i | |||||
−2347.31 | + | 5666.90i | −0.105914 | + | 0.255700i | |||||
−6250.69 | − | 9445.20i | −0.281506 | − | 0.425373i | |||||
2888.66 | + | 2888.66i | 0.129847 | + | 0.129847i | |||||
1400.38 | + | 10252.6i | 0.0628287 | + | 0.459990i | |||||
− | 16886.1i | − | 0.756171i | |||||||
8888.76 | − | 402.483i | 0.397293 | − | 0.0179894i | |||||
5501.02 | − | 812.657i | 0.245410 | − | 0.0362541i | |||||
−39842.6 | + | 3615.55i | −1.77410 | + | 0.160992i | |||||
−13193.1 | + | 31851.0i | −0.586354 | + | 1.41558i | 0.300610 | + | 0.953747i | ||
−0.886964 | + | 0.461838i | ||||||||
−719.292 | − | 1536.04i | −0.0319081 | − | 0.0681395i | |||||
24064.3 | 1.06550 | |||||||||
17896.0 | + | 13846.7i | 0.790901 | + | 0.611945i | |||||
22255.5 | 0.981720 | |||||||||
−4199.83 | − | 8968.70i | −0.184914 | − | 0.394883i | |||||
−3414.09 | + | 8242.33i | −0.150038 | + | 0.362224i | |||||
821.362 | + | 9051.23i | 0.0360289 | + | 0.397030i | |||||
−9460.62 | + | 1397.60i | −0.414215 | + | 0.0611913i | |||||
23017.7 | − | 1042.24i | 1.00591 | − | 0.0455476i | |||||
6305.45i | 0.275046i | |||||||||
4389.45 | + | 3334.46i | 0.191114 | + | 0.145181i | |||||
10514.0 | + | 10514.0i | 0.456924 | + | 0.456924i | 0.897645 | − | 0.440720i | ||
−0.440720 | + | 0.897645i | ||||||||
10047.2 | + | 15181.9i | 0.435828 | + | 0.658564i | |||||
−8209.30 | + | 19819.0i | −0.355447 | + | 0.858125i | 0.640481 | + | 0.767974i | ||
−0.995928 | + | 0.0901508i | ||||||||
1469.73 | − | 4714.47i | 0.0635192 | − | 0.203751i | |||||
−1523.04 | + | 3676.93i | −0.0657013 | + | 0.158617i | |||||
−6253.39 | + | 2928.31i | −0.269264 | + | 0.126090i | |||||
379.348 | − | 1510.63i | 0.0163043 | − | 0.0649264i | |||||
5956.95 | + | 9218.51i | 0.255557 | + | 0.395481i | |||||
−1408.31 | − | 1408.31i | −0.0603067 | − | 0.0603067i | |||||
3479.61 | − | 9608.43i | 0.148731 | − | 0.410698i | |||||
1145.07 | + | 2764.43i | 0.0488545 | + | 0.117945i | |||||
8209.44 | + | 33963.4i | 0.349617 | + | 1.44640i | |||||
−21991.9 | − | 9109.36i | −0.934865 | − | 0.387234i | −0.137343 | − | 0.990524i | ||
−0.797522 | + | 0.603290i | ||||||||
−2750.01 | + | 124.520i | −0.116688 | + | 0.00528364i | |||||
26861.4i | 1.13770i | 0.822441 | + | 0.568850i | ||||||
−0.822441 | + | 0.568850i | ||||||||
4943.87 | − | 18815.1i | 0.209015 | − | 0.795457i | |||||
−2799.39 | − | 1500.59i | −0.118136 | − | 0.0633258i | |||||
10508.8 | − | 475.837i | 0.442672 | − | 0.0200442i | |||||
10125.7 | − | 4194.21i | 0.425763 | − | 0.176357i | −0.159504 | − | 0.987197i | ||
0.585267 | + | 0.810840i | ||||||||
−3531.42 | − | 38915.5i | −0.148219 | − | 1.63334i | |||||
−11895.1 | − | 28717.2i | −0.498350 | − | 1.20312i | −0.950372 | − | 0.311117i | ||
0.452022 | − | 0.892007i | ||||||||
1971.96 | − | 383.168i | 0.0824673 | − | 0.0160241i | |||||
3215.08i | 0.134211i | |||||||||
−10968.0 | + | 8586.25i | −0.457027 | + | 0.357782i | |||||
−28193.5 | − | 28193.5i | −1.17268 | − | 1.17268i | |||||
1002.90 | − | 2769.37i | 0.0416400 | − | 0.114983i | |||||
332.657 | + | 2251.81i | 0.0137869 | + | 0.0933261i | |||||
9172.41 | − | 11003.3i | 0.379467 | − | 0.455210i | |||||
−8307.01 | − | 20054.9i | −0.343049 | − | 0.828194i | |||||
8184.25 | − | 8960.57i | 0.337375 | − | 0.369377i | |||||
3865.38 | + | 3865.38i | 0.159056 | + | 0.159056i | 0.782148 | − | 0.623093i | ||
−0.623093 | + | 0.782148i | ||||||||
745.241 | − | 1354.53i | 0.0306110 | − | 0.0556379i | |||||
3256.96 | − | 3256.96i | 0.133542 | − | 0.133542i | |||||
952.695 | + | 21040.1i | 0.0389929 | + | 0.861152i | |||||
−7235.58 | + | 2997.08i | −0.295619 | + | 0.122449i | |||||
−276.462 | + | 886.807i | −0.0112751 | + | 0.0361673i | |||||
−13077.1 | − | 9710.71i | −0.532387 | − | 0.395336i | |||||
12542.9 | − | 5873.53i | 0.509732 | − | 0.238695i | |||||
−3097.12 | + | 3097.12i | −0.125641 | + | 0.125641i | |||||
−19200.0 | + | 12406.9i | −0.777511 | + | 0.502423i | |||||
9696.08 | 0.391953 | |||||||||
43479.8 | + | 2355.20i | 1.75452 | + | 0.0950386i | |||||
24090.0 | − | 9978.40i | 0.970381 | − | 0.401945i | |||||
4254.85 | + | 1326.45i | 0.171090 | + | 0.0533372i | |||||
15711.3 | + | 37930.5i | 0.630651 | + | 1.52253i | 0.838807 | + | 0.544429i | ||
−0.208156 | + | 0.978096i | ||||||||
−5688.95 | − | 5196.08i | −0.227953 | − | 0.208204i | |||||
6696.42 | − | 26666.3i | 0.267851 | − | 1.06663i | |||||
−31440.6 | + | 4294.37i | −1.25539 | + | 0.171470i | |||||
−15626.7 | −0.622870 | −0.311435 | − | 0.950267i | ||||||
−0.311435 | + | 0.950267i | ||||||||
1318.61 | − | 1443.68i | 0.0524667 | − | 0.0574435i | |||||
13908.1 | − | 33577.2i | 0.552433 | − | 1.33369i | −0.363213 | − | 0.931706i | ||
0.915646 | − | 0.401985i | ||||||||
281.217 | − | 1793.48i | 0.0111505 | − | 0.0711129i | |||||
2205.63 | − | 913.604i | 0.0873029 | − | 0.0361621i | |||||
−41245.8 | + | 19314.4i | −1.62974 | + | 0.763169i | |||||
−28444.4 | + | 28444.4i | −1.12197 | + | 1.12197i | −0.130522 | + | 0.991445i | ||
−0.991445 | + | 0.130522i | ||||||||
11124.1 | + | 6961.16i | 0.438022 | + | 0.274101i | |||||
6719.27 | − | 26757.3i | 0.264118 | − | 1.05176i | |||||
14527.6 | − | 40115.7i | 0.570054 | − | 1.57412i | |||||
13193.1 | + | 5464.77i | 0.516795 | + | 0.214064i | |||||
6731.71 | − | 8075.39i | 0.263236 | − | 0.315780i | |||||
−6038.31 | − | 2501.15i | −0.235714 | − | 0.0976360i | |||||
−5164.83 | + | 3418.01i | −0.201269 | + | 0.133197i | |||||
−15694.7 | + | 15694.7i | −0.610556 | + | 0.610556i | |||||
−2320.94 | − | 16992.4i | −0.0901341 | − | 0.659902i | |||||
26478.3 | 1.02652 | |||||||||
−36480.8 | + | 39941.1i | −1.41188 | + | 1.54580i | |||||
−2612.48 | − | 5549.22i | −0.100935 | − | 0.214398i | |||||
2530.37 | + | 4822.68i | 0.0975951 | + | 0.186008i | |||||
17259.8 | + | 7149.22i | 0.664562 | + | 0.275270i | 0.689357 | − | 0.724422i | ||
−0.0247951 | + | 0.999693i | ||||||||
10092.4 | − | 27868.7i | 0.387930 | − | 1.07121i | |||||
− | 7569.40i | − | 0.290455i | |||||||
13029.6 | + | 848.583i | 0.499123 | + | 0.0325065i | |||||
− | 18203.4i | − | 0.696126i | −0.937471 | − | 0.348063i | ||||
0.937471 | − | 0.348063i | ||||||||
−21576.4 | − | 7813.72i | −0.823715 | − | 0.298301i | |||||
18005.4 | + | 7458.09i | 0.686218 | + | 0.284241i | 0.698424 | − | 0.715685i | ||
−0.0122053 | + | 0.999926i | ||||||||
−7977.69 | + | 25590.1i | −0.303528 | + | 0.973628i | |||||
−10592.3 | − | 7865.53i | −0.402323 | − | 0.298754i | |||||
−6937.37 | − | 6336.33i | −0.263054 | − | 0.240263i | |||||
35176.9 | 1.33159 | 0.665797 | − | 0.746133i | ||||||
0.665797 | + | 0.746133i | ||||||||
−1071.24 | + | 4076.89i | −0.0404827 | + | 0.154067i | |||||
−4213.06 | + | 4213.06i | −0.158944 | + | 0.158944i | |||||
5600.69 | − | 27518.4i | 0.210939 | − | 1.03643i | |||||
9705.78 | + | 4020.26i | 0.364933 | + | 0.151160i | |||||
−2237.08 | − | 24652.1i | −0.0839718 | − | 0.925351i | |||||
−17713.7 | − | 7337.25i | −0.663792 | − | 0.274951i | |||||
−1913.78 | − | 693.060i | −0.0715956 | − | 0.0259277i | |||||
−2015.84 | − | 3367.76i | −0.0752872 | − | 0.125779i | |||||
−482.277 | + | 6337.22i | −0.0179818 | + | 0.236285i | |||||
−5220.80 | + | 5220.80i | −0.194334 | + | 0.194334i | |||||
−11607.8 | − | 24788.3i | −0.431354 | − | 0.921153i | |||||
−38910.7 | + | 16117.3i | −1.44354 | + | 0.597935i | |||||
23237.5 | − | 9384.80i | 0.860648 | − | 0.347585i | |||||
−16834.5 | + | 40642.1i | −0.622462 | + | 1.50276i | |||||
14887.8 | + | 13597.9i | 0.549566 | + | 0.501953i | |||||
−124.036 | −0.00457105 | |||||||||
10619.5 | + | 18189.4i | 0.390708 | + | 0.669213i | |||||
19874.9 | + | 4990.96i | 0.730014 | + | 0.183320i | |||||
−668.440 | + | 731.844i | −0.0245115 | + | 0.0268365i | |||||
−8009.21 | − | 19335.9i | −0.293210 | − | 0.707872i | −1.00000 | 0.000448085i | |||
0.706790 | − | 0.707424i | ||||||||
30749.8 | − | 16133.8i | 1.12386 | − | 0.589669i | |||||
5640.47 | − | 2336.36i | 0.205812 | − | 0.0852499i | |||||
3706.33 | − | 720.170i | 0.135015 | − | 0.0262345i | |||||
36146.4 | 1.31458 | 0.657291 | − | 0.753637i | ||||||
0.657291 | + | 0.753637i | ||||||||
−1574.16 | − | 8602.00i | −0.0571552 | − | 0.312325i | |||||
819.685 | − | 819.685i | 0.0297126 | − | 0.0297126i | |||||
4468.99 | + | 9543.48i | 0.161730 | + | 0.345372i | |||||
1412.18 | + | 9559.33i | 0.0510223 | + | 0.345379i | |||||
−646.499 | + | 339.206i | −0.0233198 | + | 0.0122355i | |||||
7257.95 | − | 3006.34i | 0.261372 | − | 0.108264i | |||||
25227.0 | − | 1142.28i | 0.906988 | − | 0.0410684i | |||||
25024.4 | − | 25024.4i | 0.898236 | − | 0.898236i | −0.0970439 | − | 0.995280i | ||
0.995280 | + | 0.0970439i | ||||||||
−49007.0 | − | 5426.72i | −1.75621 | − | 0.194471i | |||||
1692.85 | + | 1692.85i | 0.0605659 | + | 0.0605659i | |||||
−6799.73 | − | 6210.62i | −0.242882 | − | 0.221839i | |||||
4165.28 | + | 10055.9i | 0.148539 | + | 0.358605i | |||||
−80.6259 | − | 888.479i | −0.00287056 | − | 0.0316329i | |||||
10593.6 | + | 12939.7i | 0.376559 | + | 0.459953i | |||||
−36568.1 | − | 13242.8i | −1.29774 | − | 0.469964i | |||||
−15235.4 | − | 15235.4i | −0.539802 | − | 0.539802i | |||||
13506.1 | − | 21583.2i | 0.477758 | − | 0.763472i | |||||
34790.8i | 1.22869i | 0.789039 | + | 0.614344i | ||||||
−0.789039 | + | 0.614344i | ||||||||
−12943.3 | + | 2514.98i | −0.456373 | + | 0.0886770i | |||||
12156.9 | + | 29349.4i | 0.427955 | + | 1.03318i | |||||
−12033.9 | + | 14435.9i | −0.422942 | + | 0.507363i | |||||
−8010.33 | + | 3317.99i | −0.281079 | + | 0.116427i | |||||
−829.613 | − | 18321.9i | −0.0290640 | − | 0.641873i | |||||
21559.7 | − | 12905.0i | 0.754095 | − | 0.451378i | |||||
2087.78 | + | 15285.3i | 0.0729071 | + | 0.533778i | |||||
44073.0i | 1.53661i | 0.640085 | + | 0.768304i | ||||||
−0.640085 | + | 0.768304i | ||||||||
458.098 | + | 10117.0i | 0.0159461 | + | 0.352167i | |||||
−13676.0 | − | 5664.77i | −0.475291 | − | 0.196872i | |||||
−4106.04 | − | 16987.1i | −0.142473 | − | 0.589425i | |||||
−9968.74 | − | 24066.7i | −0.345347 | − | 0.833742i | −0.997156 | − | 0.0753588i | ||
0.651809 | − | 0.758383i | ||||||||
10084.6 | + | 3652.07i | 0.348806 | + | 0.126317i | |||||
−53838.8 | − | 53838.8i | −1.85921 | − | 1.85921i | |||||
53025.9 | + | 11396.5i | 1.82823 | + | 0.392929i | |||||
−1826.88 | − | 3052.07i | −0.0628870 | − | 0.105062i | |||||
−444.258 | − | 948.710i | −0.0152686 | − | 0.0326059i | |||||
−16724.6 | + | 40376.9i | −0.573894 | + | 1.38550i | 0.324321 | + | 0.945947i | ||
−0.898215 | + | 0.439556i | ||||||||
−3533.08 | + | 1853.74i | −0.121044 | + | 0.0635093i | |||||
−5089.94 | + | 12288.2i | −0.174106 | + | 0.420329i | |||||
−31287.2 | − | 14990.7i | −1.06852 | − | 0.511961i | |||||
−694.865 | − | 694.865i | −0.0236935 | − | 0.0236935i | |||||
6166.48 | + | 10562.1i | 0.209934 | + | 0.359579i | |||||
− | 3266.63i | − | 0.111035i | −0.998458 | − | 0.0555176i | ||||
0.998458 | − | 0.0555176i | ||||||||
1145.24 | + | 25292.5i | 0.0388665 | + | 0.858359i | |||||
−1127.11 | − | 7629.60i | −0.0381910 | − | 0.258522i | |||||
17281.7 | + | 14406.2i | 0.584656 | + | 0.487373i | |||||
−1367.68 | + | 3301.88i | −0.0461974 | + | 0.111530i | |||||
−28732.6 | + | 13454.8i | −0.969005 | + | 0.453762i | |||||
−3067.53 | −0.103291 | |||||||||
5490.97 | − | 5777.97i | 0.184605 | − | 0.194253i | |||||
−59872.5 | −2.00975 | |||||||||
−9322.96 | + | 4365.72i | −0.312458 | + | 0.146316i | |||||
−13449.5 | + | 32470.1i | −0.450058 | + | 1.08654i | |||||
−32221.1 | − | 26859.8i | −1.07653 | − | 0.897401i | |||||
−13715.4 | − | 10184.6i | −0.457526 | − | 0.339746i | |||||
152.385 | + | 3365.40i | 0.00507548 | + | 0.112091i | |||||
19957.7i | 0.663698i | 0.943333 | + | 0.331849i | ||||||
−0.943333 | + | 0.331849i | ||||||||
−19502.0 | + | 11385.9i | −0.647538 | + | 0.378053i | |||||
−11899.4 | − | 11899.4i | −0.394494 | − | 0.394494i | |||||
6663.39 | − | 32739.9i | 0.220565 | − | 1.08373i | |||||
−6543.01 | + | 15796.2i | −0.216246 | + | 0.522065i | −0.994360 | − | 0.106059i | ||
0.778113 | + | 0.628124i | ||||||||
19544.8 | − | 10254.8i | 0.644959 | − | 0.338398i | |||||
1256.00 | − | 3032.25i | 0.0413828 | − | 0.0999069i | |||||
−10567.8 | − | 22567.4i | −0.347653 | − | 0.742410i | |||||
−4173.51 | − | 2237.17i | −0.137086 | − | 0.0734839i | |||||
−21559.9 | − | 33364.5i | −0.707087 | − | 1.09423i | |||||
26603.6 | + | 26603.6i | 0.871161 | + | 0.871161i | 0.992599 | − | 0.121438i | ||
−0.121438 | + | 0.992599i | ||||||||
−515.884 | − | 186.823i | −0.0168672 | − | 0.00610832i | |||||
−6201.44 | − | 14971.6i | −0.202450 | − | 0.488758i | |||||
−15091.3 | + | 24712.5i | −0.491913 | + | 0.805522i | |||||
−17548.8 | − | 7268.95i | −0.571141 | − | 0.236575i | |||||
−1948.64 | − | 43035.5i | −0.0633235 | − | 1.39849i | |||||
− | 1333.07i | − | 0.0432536i | −0.999766 | − | 0.0216268i | ||||
0.999766 | − | 0.0216268i | ||||||||
12195.5 | − | 1665.75i | 0.395101 | − | 0.0539658i | |||||
13054.4 | + | 21809.4i | 0.422283 | + | 0.705487i | |||||
−2216.26 | − | 48945.7i | −0.0715821 | − | 1.58088i | |||||
−1103.17 | + | 456.948i | −0.0355768 | + | 0.0147364i | |||||
13674.8 | − | 16404.4i | 0.440338 | − | 0.528232i | |||||
1513.84 | + | 3654.72i | 0.0486726 | + | 0.117506i | |||||
8087.63 | − | 11988.6i | 0.259638 | − | 0.384872i | |||||
− | 19096.0i | − | 0.612114i | −0.952013 | − | 0.306057i | ||||
0.952013 | − | 0.306057i | ||||||||
44148.9 | − | 31448.0i | 1.41303 | − | 1.00653i | |||||
3012.47 | + | 3012.47i | 0.0962716 | + | 0.0962716i | |||||
4669.54 | + | 1691.03i | 0.149003 | + | 0.0539601i | |||||
44887.9 | + | 33332.5i | 1.43019 | + | 1.06202i | |||||
−63.9539 | − | 704.757i | −0.00203459 | − | 0.0224208i | |||||
4611.95 | + | 11134.2i | 0.146501 | + | 0.353685i | 0.980047 | − | 0.198765i | ||
−0.833546 | + | 0.552450i | ||||||||
39522.8 | + | 36098.7i | 1.25358 | + | 1.14497i | |||||
6857.87 | + | 6857.87i | 0.217191 | + | 0.217191i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 160.4.u.a.43.10 | ✓ | 280 | |
5.2 | odd | 4 | 160.4.ba.a.107.25 | yes | 280 | ||
32.3 | odd | 8 | 160.4.ba.a.3.25 | yes | 280 | ||
160.67 | even | 8 | inner | 160.4.u.a.67.10 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
160.4.u.a.43.10 | ✓ | 280 | 1.1 | even | 1 | trivial | |
160.4.u.a.67.10 | yes | 280 | 160.67 | even | 8 | inner | |
160.4.ba.a.3.25 | yes | 280 | 32.3 | odd | 8 | ||
160.4.ba.a.107.25 | yes | 280 | 5.2 | odd | 4 |