Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(47,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 400.bi (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 |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 303.2 | ||
Root | of defining polynomial | ||
Character | 400.303 | ||
Dual form | 400.2.bi.b.367.2 |
-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 .
0 | 0 | |||||||||
2.01411 | − | 0.319003i | 1.16284 | − | 0.184176i | 0.454965 | − | 0.890509i | ||
0.707880 | + | 0.706333i | ||||||||
0 | 0 | |||||||||
−1.70582 | − | 1.44575i | −0.762866 | − | 0.646557i | |||||
0 | 0 | |||||||||
−3.13704 | − | 3.13704i | −1.18569 | − | 1.18569i | −0.978247 | − | 0.207444i | ||
−0.207444 | − | 0.978247i | ||||||||
0 | 0 | |||||||||
1.10169 | − | 0.357960i | 0.367230 | − | 0.119320i | |||||
0 | 0 | |||||||||
3.22428 | + | 1.04763i | 0.972156 | + | 0.315873i | 0.751686 | − | 0.659521i | ||
0.220470 | + | 0.975394i | ||||||||
0 | 0 | |||||||||
1.73514 | − | 3.40540i | 0.481240 | − | 0.944487i | −0.514945 | − | 0.857223i | ||
0.996185 | − | 0.0872636i | ||||||||
0 | 0 | |||||||||
−3.89690 | − | 2.36772i | −1.00617 | − | 0.611343i | |||||
0 | 0 | |||||||||
1.22123 | − | 7.71055i | 0.296192 | − | 1.87008i | −0.170062 | − | 0.985433i | ||
0.466254 | − | 0.884651i | ||||||||
0 | 0 | |||||||||
−0.375011 | + | 0.272461i | −0.0860333 | + | 0.0625069i | −0.629970 | − | 0.776619i | ||
0.543937 | + | 0.839126i | ||||||||
0 | 0 | |||||||||
−7.31906 | − | 5.31761i | −1.59715 | − | 1.16040i | |||||
0 | 0 | |||||||||
2.52419 | + | 4.95399i | 0.526329 | + | 1.03298i | 0.989203 | + | 0.146555i | ||
−0.462873 | + | 0.886424i | ||||||||
0 | 0 | |||||||||
0.819639 | + | 4.93236i | 0.163928 | + | 0.986472i | |||||
0 | 0 | |||||||||
−3.34613 | + | 1.70494i | −0.643962 | + | 0.328115i | |||||
0 | 0 | |||||||||
0.719203 | − | 0.989898i | 0.133553 | − | 0.183819i | −0.737003 | − | 0.675890i | ||
0.870556 | + | 0.492070i | ||||||||
0 | 0 | |||||||||
4.50368 | + | 6.19878i | 0.808884 | + | 1.11333i | 0.991495 | + | 0.130148i | ||
−0.182610 | + | 0.983185i | ||||||||
0 | 0 | |||||||||
6.82823 | + | 1.08149i | 1.18864 | + | 0.188262i | |||||
0 | 0 | |||||||||
0.815862 | + | 9.88660i | 0.137906 | + | 1.67114i | |||||
0 | 0 | |||||||||
1.21113 | + | 0.617102i | 0.199109 | + | 0.101451i | 0.550702 | − | 0.834702i | ||
−0.351593 | + | 0.936153i | ||||||||
0 | 0 | |||||||||
2.40842 | − | 7.41234i | 0.385655 | − | 1.18692i | |||||
0 | 0 | |||||||||
−0.457300 | − | 1.40742i | −0.0714182 | − | 0.219803i | 0.908976 | − | 0.416848i | ||
−0.980394 | + | 0.197046i | ||||||||
0 | 0 | |||||||||
−5.57270 | + | 5.57270i | −0.849829 | + | 0.849829i | −0.990112 | − | 0.140283i | ||
0.140283 | + | 0.990112i | ||||||||
0 | 0 | |||||||||
−2.39680 | − | 0.982146i | −0.357294 | − | 0.146410i | |||||
0 | 0 | |||||||||
−0.197155 | − | 1.24479i | −0.0287580 | − | 0.181571i | 0.969128 | − | 0.246558i | ||
−0.997886 | + | 0.0649869i | ||||||||
0 | 0 | |||||||||
12.6821i | 1.81173i | |||||||||
0 | 0 | |||||||||
− | 15.9194i | − | 2.22917i | |||||||
0 | 0 | |||||||||
0.141520 | + | 0.893520i | 0.0194392 | + | 0.122734i | 0.995500 | − | 0.0947650i | ||
−0.976060 | + | 0.217499i | ||||||||
0 | 0 | |||||||||
−3.98543 | − | 6.44855i | −0.537395 | − | 0.869523i | |||||
0 | 0 | |||||||||
−0.668395 | + | 0.668395i | −0.0885311 | + | 0.0885311i | |||||
0 | 0 | |||||||||
−3.24696 | − | 9.99313i | −0.422719 | − | 1.30099i | −0.905162 | − | 0.425067i | ||
0.482443 | − | 0.875927i | ||||||||
0 | 0 | |||||||||
0.649536 | − | 1.99907i | 0.0831646 | − | 0.255954i | −0.900824 | − | 0.434184i | ||
0.983989 | + | 0.178229i | ||||||||
0 | 0 | |||||||||
−4.57898 | − | 2.33311i | −0.576898 | − | 0.293944i | |||||
0 | 0 | |||||||||
−7.88316 | + | 3.30042i | −0.977786 | + | 0.409367i | |||||
0 | 0 | |||||||||
11.3499 | + | 1.79765i | 1.38661 | + | 0.219618i | 0.804724 | − | 0.593649i | ||
0.581890 | + | 0.813267i | ||||||||
0 | 0 | |||||||||
6.66432 | + | 9.17264i | 0.802289 | + | 1.10426i | |||||
0 | 0 | |||||||||
−1.00694 | + | 1.38593i | −0.119502 | + | 0.164480i | −0.864577 | − | 0.502500i | ||
0.745075 | + | 0.666980i | ||||||||
0 | 0 | |||||||||
5.49431 | − | 2.79949i | 0.643061 | − | 0.327656i | −0.101870 | − | 0.994798i | ||
0.744931 | + | 0.667142i | ||||||||
0 | 0 | |||||||||
3.22428 | + | 9.67283i | 0.372307 | + | 1.11692i | |||||
0 | 0 | |||||||||
−6.82823 | − | 13.4012i | −0.778149 | − | 1.52720i | |||||
0 | 0 | |||||||||
13.5517 | + | 9.84590i | 1.52469 | + | 1.10775i | 0.959102 | + | 0.283061i | ||
0.565586 | + | 0.824689i | ||||||||
0 | 0 | |||||||||
−9.00703 | + | 6.54399i | −1.00078 | + | 0.727110i | |||||
0 | 0 | |||||||||
1.12294 | − | 7.08995i | 0.123258 | − | 0.778223i | −0.846182 | − | 0.532895i | ||
0.969440 | − | 0.245328i | ||||||||
0 | 0 | |||||||||
−13.2307 | + | 11.3872i | −1.43507 | + | 1.23512i | |||||
0 | 0 | |||||||||
1.13277 | − | 2.22319i | 0.121446 | − | 0.238351i | |||||
0 | 0 | |||||||||
7.35916 | + | 2.39114i | 0.780069 | + | 0.253460i | 0.671870 | − | 0.740669i | ||
0.108199 | + | 0.994129i | ||||||||
0 | 0 | |||||||||
−16.1261 | + | 5.23968i | −1.69047 | + | 0.549267i | |||||
0 | 0 | |||||||||
11.0483 | + | 11.0483i | 1.14566 | + | 1.14566i | |||||
0 | 0 | |||||||||
1.03361 | + | 0.0774005i | 0.106046 | + | 0.00794112i | |||||
0 | 0 | |||||||||
10.8914 | − | 1.72503i | 1.10586 | − | 0.175151i | 0.423305 | − | 0.905987i | ||
0.682553 | + | 0.730837i | ||||||||
0 | 0 | |||||||||
3.92716 | 0.394695 | |||||||||
0 | 0 | |||||||||
−14.0912 | −1.40213 | −0.701064 | − | 0.713098i | ||||||
−0.701064 | + | 0.713098i | ||||||||
0 | 0 | |||||||||
5.29439 | − | 0.838549i | 0.521672 | − | 0.0826247i | 0.109955 | − | 0.993937i | ||
0.411717 | + | 0.911312i | ||||||||
0 | 0 | |||||||||
4.79709 | + | 19.6524i | 0.468148 | + | 1.91788i | |||||
0 | 0 | |||||||||
−2.89920 | − | 2.89920i | −0.280276 | − | 0.280276i | 0.552943 | − | 0.833219i | ||
−0.833219 | + | 0.552943i | ||||||||
0 | 0 | |||||||||
−1.50151 | + | 0.487870i | −0.143818 | + | 0.0467294i | −0.380042 | − | 0.924969i | ||
0.236223 | + | 0.971699i | ||||||||
0 | 0 | |||||||||
2.63620 | + | 0.856554i | 0.250217 | + | 0.0813005i | |||||
0 | 0 | |||||||||
0.368226 | − | 0.722684i | 0.0346398 | − | 0.0679844i | −0.873038 | − | 0.487652i | ||
0.907678 | + | 0.419668i | ||||||||
0 | 0 | |||||||||
2.85641 | − | 12.0999i | 0.266362 | − | 1.12833i | |||||
0 | 0 | |||||||||
0.692583 | − | 4.37280i | 0.0640293 | − | 0.404265i | |||||
0 | 0 | |||||||||
−28.0194 | + | 20.3573i | −2.56853 | + | 1.86615i | |||||
0 | 0 | |||||||||
0.399243 | + | 0.290067i | 0.0362948 | + | 0.0263698i | |||||
0 | 0 | |||||||||
−1.37002 | − | 2.68882i | −0.123531 | − | 0.242443i | |||||
0 | 0 | |||||||||
5.73279 | − | 9.59871i | 0.512756 | − | 0.858534i | |||||
0 | 0 | |||||||||
−4.49175 | + | 2.28866i | −0.398578 | + | 0.203086i | −0.641778 | − | 0.766890i | ||
0.243200 | + | 0.969976i | ||||||||
0 | 0 | |||||||||
−9.44630 | + | 13.0017i | −0.831700 | + | 1.14474i | |||||
0 | 0 | |||||||||
−0.911267 | − | 1.25425i | −0.0796178 | − | 0.109584i | 0.767351 | − | 0.641228i | ||
−0.846968 | + | 0.531643i | ||||||||
0 | 0 | |||||||||
2.03115 | + | 0.321702i | 0.176123 | + | 0.0278951i | |||||
0 | 0 | |||||||||
8.17279 | + | 1.92933i | 0.703402 | + | 0.166051i | |||||
0 | 0 | |||||||||
11.2034 | + | 5.70842i | 0.957172 | + | 0.487704i | 0.861527 | − | 0.507712i | ||
0.0956453 | + | 0.995415i | ||||||||
0 | 0 | |||||||||
−1.60657 | + | 4.94453i | −0.136268 | + | 0.419389i | −0.995785 | − | 0.0917174i | ||
0.859517 | + | 0.511107i | ||||||||
0 | 0 | |||||||||
−0.794181 | − | 2.44424i | −0.0668821 | − | 0.205842i | |||||
0 | 0 | |||||||||
9.16216 | − | 9.16216i | 0.766178 | − | 0.766178i | |||||
0 | 0 | |||||||||
−2.65797 | + | 0.648803i | −0.220733 | + | 0.0538801i | |||||
0 | 0 | |||||||||
4.04562 | + | 25.5430i | 0.333677 | + | 2.10675i | |||||
0 | 0 | |||||||||
− | 8.06154i | − | 0.660427i | −0.943906 | − | 0.330213i | ||||
0.943906 | − | 0.330213i | ||||||||
0 | 0 | |||||||||
15.8238i | 1.28772i | 0.765143 | + | 0.643860i | ||||||
−0.765143 | + | 0.643860i | ||||||||
0 | 0 | |||||||||
−1.41466 | − | 8.93179i | −0.114368 | − | 0.722092i | |||||
0 | 0 | |||||||||
1.27940 | − | 17.0852i | 0.102764 | − | 1.37231i | |||||
0 | 0 | |||||||||
−7.45048 | + | 7.45048i | −0.594613 | + | 0.594613i | −0.938874 | − | 0.344261i | ||
0.344261 | + | 0.938874i | ||||||||
0 | 0 | |||||||||
0.570071 | + | 1.75450i | 0.0452096 | + | 0.139141i | |||||
0 | 0 | |||||||||
7.62241 | − | 23.4594i | 0.600730 | − | 1.84886i | |||||
0 | 0 | |||||||||
−6.06500 | − | 3.09027i | −0.475048 | − | 0.242049i | 0.200038 | − | 0.979788i | ||
−0.675086 | + | 0.737739i | ||||||||
0 | 0 | |||||||||
−10.0842 | − | 11.7167i | −0.785052 | − | 0.912144i | |||||
0 | 0 | |||||||||
−5.25160 | − | 0.831772i | −0.406381 | − | 0.0643645i | −0.0501023 | − | 0.998744i | ||
−0.356279 | + | 0.934380i | ||||||||
0 | 0 | |||||||||
−0.944813 | − | 1.30042i | −0.0726779 | − | 0.100033i | |||||
0 | 0 | |||||||||
−0.315615 | + | 0.434406i | −0.0241357 | + | 0.0332199i | |||||
0 | 0 | |||||||||
17.9448 | − | 9.14333i | 1.36432 | − | 0.695154i | 0.390101 | − | 0.920772i | ||
0.974216 | + | 0.225618i | ||||||||
0 | 0 | |||||||||
12.9018 | − | 18.0443i | 0.975284 | − | 1.36402i | |||||
0 | 0 | |||||||||
−9.72757 | − | 19.0914i | −0.731169 | − | 1.43500i | |||||
0 | 0 | |||||||||
8.37543 | + | 6.08510i | 0.626009 | + | 0.454822i | 0.855015 | − | 0.518603i | ||
−0.229006 | + | 0.973425i | ||||||||
0 | 0 | |||||||||
−11.8861 | + | 8.63577i | −0.883489 | + | 0.641892i | −0.934172 | − | 0.356823i | ||
0.0506835 | + | 0.998715i | ||||||||
0 | 0 | |||||||||
0.670526 | − | 4.23354i | 0.0495667 | − | 0.312952i | |||||
0 | 0 | |||||||||
−1.17380 | − | 2.80365i | −0.0862993 | − | 0.206128i | |||||
0 | 0 | |||||||||
12.0154 | − | 23.5816i | 0.878653 | − | 1.72445i | |||||
0 | 0 | |||||||||
15.8454 | + | 5.14848i | 1.15258 | + | 0.374497i | |||||
0 | 0 | |||||||||
9.35722 | − | 3.04034i | 0.677064 | − | 0.219992i | 0.0497547 | − | 0.998761i | ||
0.627310 | + | 0.778770i | ||||||||
0 | 0 | |||||||||
−10.2775 | − | 10.2775i | −0.739792 | − | 0.739792i | 0.232746 | − | 0.972538i | ||
−0.972538 | + | 0.232746i | ||||||||
0 | 0 | |||||||||
−14.8247 | + | 9.16216i | −1.06162 | + | 0.656116i | |||||
0 | 0 | |||||||||
−14.0391 | + | 2.22358i | −1.00025 | + | 0.158424i | −0.635021 | − | 0.772495i | ||
−0.365227 | + | 0.930919i | ||||||||
0 | 0 | |||||||||
−15.1694 | −1.07533 | −0.537666 | − | 0.843158i | ||||||
−0.537666 | + | 0.843158i | ||||||||
0 | 0 | |||||||||
23.4334 | 1.65287 | |||||||||
0 | 0 | |||||||||
−5.36152 | + | 0.849182i | −0.376305 | + | 0.0596009i | |||||
0 | 0 | |||||||||
−1.25471 | + | 3.06195i | −0.0876325 | + | 0.213856i | |||||
0 | 0 | |||||||||
4.55420 | + | 4.55420i | 0.316539 | + | 0.316539i | |||||
0 | 0 | |||||||||
−1.49458 | + | 0.485617i | −0.103382 | + | 0.0335909i | |||||
0 | 0 | |||||||||
−6.62163 | − | 2.15150i | −0.455852 | − | 0.148115i | 0.0720858 | − | 0.997398i | ||
−0.527937 | + | 0.849283i | ||||||||
0 | 0 | |||||||||
−1.58597 | + | 3.11263i | −0.108669 | + | 0.213274i | |||||
0 | 0 | |||||||||
17.5627 | − | 1.44931i | 1.19777 | − | 0.0988423i | |||||
0 | 0 | |||||||||
5.31761 | − | 33.5741i | 0.360983 | − | 2.27916i | |||||
0 | 0 | |||||||||
10.1731 | − | 7.39117i | 0.687433 | − | 0.499449i | |||||
0 | 0 | |||||||||
−24.1385 | − | 17.5376i | −1.62373 | − | 1.17971i | |||||
0 | 0 | |||||||||
−5.44537 | − | 10.6871i | −0.364649 | − | 0.715664i | 0.633671 | − | 0.773603i | ||
−0.998320 | + | 0.0579386i | ||||||||
0 | 0 | |||||||||
2.66858 | + | 5.14053i | 0.177905 | + | 0.342702i | |||||
0 | 0 | |||||||||
−6.46387 | + | 3.29351i | −0.429022 | + | 0.218598i | −0.655148 | − | 0.755500i | ||
0.226126 | + | 0.974098i | ||||||||
0 | 0 | |||||||||
9.02359 | − | 12.4199i | 0.596296 | − | 0.820731i | −0.399067 | − | 0.916922i | ||
0.995363 | + | 0.0961910i | ||||||||
0 | 0 | |||||||||
−18.0278 | − | 24.8131i | −1.18614 | − | 1.63258i | |||||
0 | 0 | |||||||||
−2.99885 | − | 0.474971i | −0.196461 | − | 0.0311164i | 0.0574284 | − | 0.998350i | ||
−0.253889 | + | 0.967233i | ||||||||
0 | 0 | |||||||||
−1.46333 | + | 2.40842i | −0.0954573 | + | 0.157108i | |||||
0 | 0 | |||||||||
30.4355 | + | 15.5076i | 1.97700 | + | 1.00733i | |||||
0 | 0 | |||||||||
6.57625 | − | 20.2396i | 0.425382 | − | 1.30919i | −0.477245 | − | 0.878770i | ||
0.902628 | − | 0.430422i | ||||||||
0 | 0 | |||||||||
7.98714 | + | 24.5819i | 0.514497 | + | 1.58346i | 0.784196 | + | 0.620513i | ||
−0.269699 | + | 0.962945i | ||||||||
0 | 0 | |||||||||
−8.08705 | + | 8.08705i | −0.518785 | + | 0.518785i | |||||
0 | 0 | |||||||||
18.3351 | − | 21.6333i | 1.17138 | − | 1.38210i | |||||
0 | 0 | |||||||||
0.277144 | + | 1.74982i | 0.0176342 | + | 0.111338i | |||||
0 | 0 | |||||||||
− | 14.6381i | − | 0.927653i | |||||||
0 | 0 | |||||||||
14.8326i | 0.936228i | 0.883668 | + | 0.468114i | ||||||
−0.883668 | + | 0.468114i | ||||||||
0 | 0 | |||||||||
2.94872 | + | 18.6175i | 0.185384 | + | 1.17047i | |||||
0 | 0 | |||||||||
−23.0155 | + | 27.1557i | −1.44128 | + | 1.70056i | |||||
0 | 0 | |||||||||
−12.6464 | + | 12.6464i | −0.788861 | + | 0.788861i | −0.981307 | − | 0.192447i | ||
0.192447 | + | 0.981307i | ||||||||
0 | 0 | |||||||||
−1.86349 | − | 5.73524i | −0.115792 | − | 0.356371i | |||||
0 | 0 | |||||||||
0.437994 | − | 1.34801i | 0.0271111 | − | 0.0834395i | |||||
0 | 0 | |||||||||
24.4275 | + | 12.4464i | 1.50626 | + | 0.767479i | 0.995724 | − | 0.0923755i | ||
0.510539 | + | 0.859855i | ||||||||
0 | 0 | |||||||||
1.05040 | − | 1.72879i | 0.0645253 | − | 0.106198i | |||||
0 | 0 | |||||||||
15.5849 | + | 2.46841i | 0.953780 | + | 0.151064i | |||||
0 | 0 | |||||||||
−3.38943 | − | 4.66515i | −0.206657 | − | 0.284439i | 0.693090 | − | 0.720851i | ||
−0.899747 | + | 0.436412i | ||||||||
0 | 0 | |||||||||
5.76191 | − | 7.93059i | 0.350011 | − | 0.481749i | −0.597321 | − | 0.802002i | ||
0.947332 | + | 0.320253i | ||||||||
0 | 0 | |||||||||
−30.8081 | + | 15.6975i | −1.86459 | + | 0.950057i | |||||
0 | 0 | |||||||||
−2.52455 | + | 16.7620i | −0.152236 | + | 1.01079i | |||||
0 | 0 | |||||||||
4.24456 | + | 8.33042i | 0.255031 | + | 0.500526i | 0.982653 | − | 0.185451i | ||
−0.727623 | + | 0.685978i | ||||||||
0 | 0 | |||||||||
7.18057 | + | 5.21699i | 0.429889 | + | 0.312333i | |||||
0 | 0 | |||||||||
3.63235 | − | 2.63906i | 0.216688 | − | 0.157433i | −0.474147 | − | 0.880446i | ||
0.690834 | + | 0.723013i | ||||||||
0 | 0 | |||||||||
−3.98074 | + | 25.1334i | −0.236631 | + | 1.49403i | 0.527827 | + | 0.849352i | ||
−0.764457 | + | 0.644675i | ||||||||
0 | 0 | |||||||||
2.10649 | − | 0.173832i | 0.124778 | − | 0.0102969i | |||||
0 | 0 | |||||||||
−2.98058 | + | 5.84972i | −0.175938 | + | 0.345298i | |||||
0 | 0 | |||||||||
−41.7933 | − | 13.5795i | −2.45843 | − | 0.798792i | |||||
0 | 0 | |||||||||
21.3862 | − | 6.94880i | 1.25368 | − | 0.407346i | |||||
0 | 0 | |||||||||
−8.29104 | − | 8.29104i | −0.484368 | − | 0.484368i | 0.422156 | − | 0.906523i | ||
−0.906523 | + | 0.422156i | ||||||||
0 | 0 | |||||||||
−8.90879 | + | 21.7408i | −0.518690 | + | 1.26580i | |||||
0 | 0 | |||||||||
−12.5750 | + | 1.99168i | −0.729674 | + | 0.115569i | |||||
0 | 0 | |||||||||
21.2501 | 1.22893 | |||||||||
0 | 0 | |||||||||
34.9636 | 2.01527 | |||||||||
0 | 0 | |||||||||
−28.3812 | + | 4.49514i | −1.63046 | + | 0.258239i | |||||
0 | 0 | |||||||||
−3.99814 | + | 2.47098i | −0.228933 | + | 0.141488i | |||||
0 | 0 | |||||||||
−15.0113 | − | 15.0113i | −0.856740 | − | 0.856740i | 0.134212 | − | 0.990953i | ||
−0.990953 | + | 0.134212i | ||||||||
0 | 0 | |||||||||
10.3960 | − | 3.37785i | 0.591406 | − | 0.192159i | |||||
0 | 0 | |||||||||
−17.8463 | − | 5.79862i | −1.01197 | − | 0.328810i | −0.244332 | − | 0.969692i | ||
−0.767639 | + | 0.640882i | ||||||||
0 | 0 | |||||||||
6.73195 | − | 13.2122i | 0.380513 | − | 0.746798i | −0.618734 | − | 0.785600i | ||
0.999247 | + | 0.0388023i | ||||||||
0 | 0 | |||||||||
4.43784 | + | 10.5999i | 0.250044 | + | 0.597237i | |||||
0 | 0 | |||||||||
−2.47741 | + | 15.6418i | −0.139145 | + | 0.878529i | 0.815060 | + | 0.579377i | ||
−0.954205 | + | 0.299152i | ||||||||
0 | 0 | |||||||||
3.35596 | − | 2.43825i | 0.187898 | − | 0.136516i | |||||
0 | 0 | |||||||||
−6.76414 | − | 4.91444i | −0.377538 | − | 0.274297i | |||||
0 | 0 | |||||||||
1.64285 | + | 3.22428i | 0.0914107 | + | 0.179404i | |||||
0 | 0 | |||||||||
18.2188 | + | 5.76712i | 1.01060 | + | 0.319902i | |||||
0 | 0 | |||||||||
−2.86857 | + | 1.46161i | −0.158632 | + | 0.0808271i | |||||
0 | 0 | |||||||||
−3.28646 | + | 4.52343i | −0.181189 | + | 0.249385i | |||||
0 | 0 | |||||||||
11.1337 | + | 15.3242i | 0.611964 | + | 0.842296i | 0.996737 | − | 0.0807153i | ||
−0.384774 | + | 0.923011i | ||||||||
0 | 0 | |||||||||
1.55519 | + | 0.246317i | 0.0852237 | + | 0.0134981i | |||||
0 | 0 | |||||||||
−16.7620 | − | 19.4756i | −0.915805 | − | 1.06406i | |||||
0 | 0 | |||||||||
24.3115 | + | 12.3873i | 1.32433 | + | 0.674780i | 0.965934 | − | 0.258790i | ||
0.358396 | + | 0.933570i | ||||||||
0 | 0 | |||||||||
0.511107 | − | 1.57303i | 0.0277595 | − | 0.0854351i | |||||
0 | 0 | |||||||||
8.02707 | + | 24.7048i | 0.434690 | + | 1.33784i | |||||
0 | 0 | |||||||||
17.8249 | − | 17.8249i | 0.962456 | − | 0.962456i | |||||
0 | 0 | |||||||||
1.89319 | − | 25.2818i | 0.101926 | − | 1.36113i | |||||
0 | 0 | |||||||||
−3.77107 | − | 23.8096i | −0.202441 | − | 1.27816i | −0.854282 | − | 0.519809i | ||
0.651841 | − | 0.758356i | ||||||||
0 | 0 | |||||||||
17.6117i | 0.942731i | 0.881938 | + | 0.471366i | ||||||
−0.881938 | + | 0.471366i | ||||||||
0 | 0 | |||||||||
14.3532i | 0.766116i | |||||||||
0 | 0 | |||||||||
−1.73275 | − | 10.9402i | −0.0922250 | − | 0.582286i | −0.989915 | − | 0.141659i | ||
0.897690 | − | 0.440627i | ||||||||
0 | 0 | |||||||||
3.72136 | − | 0.908373i | 0.197509 | − | 0.0482114i | |||||
0 | 0 | |||||||||
−49.9400 | + | 49.9400i | −2.64310 | + | 2.64310i | |||||
0 | 0 | |||||||||
−8.01444 | − | 24.6659i | −0.422986 | − | 1.30182i | −0.904910 | − | 0.425603i | ||
0.481924 | − | 0.876213i | ||||||||
0 | 0 | |||||||||
−5.80493 | + | 17.8657i | −0.305522 | + | 0.940301i | |||||
0 | 0 | |||||||||
0.896651 | + | 0.456866i | 0.0470620 | + | 0.0239793i | |||||
0 | 0 | |||||||||
−13.4197 | − | 3.16795i | −0.702417 | − | 0.165818i | |||||
0 | 0 | |||||||||
−17.9407 | − | 2.84153i | −0.936497 | − | 0.148327i | −0.330511 | − | 0.943802i | ||
−0.605986 | + | 0.795476i | ||||||||
0 | 0 | |||||||||
−1.00760 | − | 1.38685i | −0.0524538 | − | 0.0721964i | |||||
0 | 0 | |||||||||
2.35906 | − | 3.24696i | 0.122476 | − | 0.168574i | |||||
0 | 0 | |||||||||
−2.07223 | + | 1.05585i | −0.107296 | + | 0.0546701i | −0.506815 | − | 0.862055i | ||
0.399519 | + | 0.916725i | ||||||||
0 | 0 | |||||||||
8.48442 | − | 21.1616i | 0.438134 | − | 1.09278i | |||||
0 | 0 | |||||||||
−2.12308 | − | 4.16678i | −0.109344 | − | 0.214600i | |||||
0 | 0 | |||||||||
−22.5526 | − | 16.3854i | −1.15845 | − | 0.841664i | −0.168870 | − | 0.985638i | ||
−0.989581 | + | 0.143975i | ||||||||
0 | 0 | |||||||||
−8.31677 | + | 6.04249i | −0.426081 | + | 0.309566i | |||||
0 | 0 | |||||||||
−5.09982 | + | 32.1990i | −0.260589 | + | 1.64529i | 0.416314 | + | 0.909221i | ||
−0.676903 | + | 0.736072i | ||||||||
0 | 0 | |||||||||
−7.72694 | + | 32.7318i | −0.393801 | + | 1.66817i | |||||
0 | 0 | |||||||||
−4.14458 | + | 8.13419i | −0.210681 | + | 0.413484i | |||||
0 | 0 | |||||||||
7.24292 | + | 2.35337i | 0.367231 | + | 0.119321i | 0.486819 | − | 0.873503i | ||
−0.119588 | + | 0.992824i | ||||||||
0 | 0 | |||||||||
41.2807 | − | 13.4129i | 2.08765 | − | 0.678319i | |||||
0 | 0 | |||||||||
−2.23550 | − | 2.23550i | −0.112766 | − | 0.112766i | |||||
0 | 0 | |||||||||
−8.88212 | − | 36.3877i | −0.446908 | − | 1.83086i | |||||
0 | 0 | |||||||||
30.3958 | − | 4.81421i | 1.52552 | − | 0.241619i | 0.663377 | − | 0.748285i | ||
0.862142 | + | 0.506667i | ||||||||
0 | 0 | |||||||||
4.19357 | 0.209941 | |||||||||
0 | 0 | |||||||||
20.2946 | 1.01346 | 0.506732 | − | 0.862104i | ||||||
0.506732 | + | 0.862104i | ||||||||
0 | 0 | |||||||||
28.9238 | − | 4.58108i | 1.44080 | − | 0.228200i | |||||
0 | 0 | |||||||||
24.8253 | + | 1.85901i | 1.23358 | + | 0.0923750i | |||||
0 | 0 | |||||||||
3.25852 | + | 3.25852i | 0.161519 | + | 0.161519i | |||||
0 | 0 | |||||||||
−16.9278 | + | 5.50016i | −0.837024 | + | 0.271966i | −0.696001 | − | 0.718041i | ||
−0.141023 | + | 0.990006i | ||||||||
0 | 0 | |||||||||
24.3859 | + | 7.92345i | 1.20287 | + | 0.390835i | |||||
0 | 0 | |||||||||
−21.1630 | + | 41.5347i | −1.04136 | + | 2.04379i | |||||
0 | 0 | |||||||||
−12.1658 | + | 10.4707i | −0.597195 | + | 0.513986i | |||||
0 | 0 | |||||||||
−1.65849 | + | 10.4713i | −0.0812167 | + | 0.512782i | |||||
0 | 0 | |||||||||
−13.9634 | + | 10.1450i | −0.682159 | + | 0.495617i | −0.874073 | − | 0.485794i | ||
0.191914 | + | 0.981412i | ||||||||
0 | 0 | |||||||||
22.6049 | + | 16.4235i | 1.10170 | + | 0.800430i | 0.981336 | − | 0.192300i | ||
0.120362 | + | 0.992730i | ||||||||
0 | 0 | |||||||||
−0.662787 | − | 1.30079i | −0.0322258 | − | 0.0632467i | |||||
0 | 0 | |||||||||
39.0322 | − | 0.296310i | 1.89334 | − | 0.0143732i | |||||
0 | 0 | |||||||||
−8.30878 | + | 4.23354i | −0.402090 | + | 0.204875i | |||||
0 | 0 | |||||||||
15.5308 | − | 21.3763i | 0.749834 | − | 1.03206i | |||||
0 | 0 | |||||||||
7.16187 | + | 9.85746i | 0.344975 | + | 0.474817i | 0.945886 | − | 0.324498i | ||
−0.600911 | + | 0.799316i | ||||||||
0 | 0 | |||||||||
−34.4645 | − | 5.45864i | −1.65626 | − | 0.262326i | −0.742877 | − | 0.669428i | ||
−0.913383 | + | 0.407102i | ||||||||
0 | 0 | |||||||||
−5.14647 | + | 2.15466i | −0.246754 | + | 0.103308i | |||||
0 | 0 | |||||||||
−2.29637 | − | 1.17006i | −0.109850 | − | 0.0559714i | |||||
0 | 0 | |||||||||
−1.07430 | + | 3.30636i | −0.0512736 | + | 0.157804i | −0.973415 | − | 0.229050i | ||
0.922141 | + | 0.386854i | ||||||||
0 | 0 | |||||||||
4.53968 | + | 13.9717i | 0.216175 | + | 0.665319i | |||||
0 | 0 | |||||||||
2.50489 | − | 2.50489i | 0.119011 | − | 0.119011i | −0.645093 | − | 0.764104i | ||
0.764104 | + | 0.645093i | ||||||||
0 | 0 | |||||||||
−9.09642 | − | 14.7183i | −0.431212 | − | 0.697715i | |||||
0 | 0 | |||||||||
−2.57165 | − | 16.2368i | −0.121635 | − | 0.767974i | |||||
0 | 0 | |||||||||
− | 20.1589i | − | 0.951358i | −0.879619 | − | 0.475679i | ||||
0.879619 | − | 0.475679i | ||||||||
0 | 0 | |||||||||
− | 5.01701i | − | 0.236242i | |||||||
0 | 0 | |||||||||
5.04783 | + | 31.8708i | 0.237168 | + | 1.49742i | |||||
0 | 0 | |||||||||
35.0834 | + | 14.3763i | 1.64473 | + | 0.673969i | |||||
0 | 0 | |||||||||
−12.1697 | + | 12.1697i | −0.569275 | + | 0.569275i | −0.931925 | − | 0.362650i | ||
0.362650 | + | 0.931925i | ||||||||
0 | 0 | |||||||||
9.05961 | + | 27.8826i | 0.422866 | + | 1.30145i | |||||
0 | 0 | |||||||||
5.73768 | − | 17.6588i | 0.267231 | − | 0.822451i | −0.723941 | − | 0.689862i | ||
0.991171 | − | 0.132589i | ||||||||
0 | 0 | |||||||||
11.7335 | + | 5.97851i | 0.545301 | + | 0.277845i | 0.704863 | − | 0.709343i | ||
−0.159562 | + | 0.987188i | ||||||||
0 | 0 | |||||||||
−2.87337 | − | 34.8195i | −0.133249 | − | 1.61471i | |||||
0 | 0 | |||||||||
−25.2095 | − | 3.99280i | −1.16656 | − | 0.184765i | −0.457036 | − | 0.889448i | ||
−0.709522 | + | 0.704684i | ||||||||
0 | 0 | |||||||||
−29.9659 | − | 41.2445i | −1.38370 | − | 1.90450i | |||||
0 | 0 | |||||||||
−12.6293 | + | 17.3828i | −0.581929 | + | 0.800956i | |||||
0 | 0 | |||||||||
−23.8061 | + | 12.1298i | −1.09460 | + | 0.557729i | |||||
0 | 0 | |||||||||
−1.65125 | − | 1.62637i | −0.0757645 | − | 0.0746229i | |||||
0 | 0 | |||||||||
0.475756 | + | 0.933723i | 0.0217833 | + | 0.0427522i | |||||
0 | 0 | |||||||||
10.4934 | + | 7.62388i | 0.479455 | + | 0.348344i | 0.801114 | − | 0.598511i | ||
−0.321660 | + | 0.946855i | ||||||||
0 | 0 | |||||||||
4.20295 | − | 3.05362i | 0.191638 | − | 0.139233i | |||||
0 | 0 | |||||||||
7.86873 | − | 49.6812i | 0.358040 | − | 2.26057i | |||||
0 | 0 | |||||||||
−21.0728 | − | 12.8036i | −0.956866 | − | 0.581384i | |||||
0 | 0 | |||||||||
−12.8000 | + | 25.1215i | −0.580025 | + | 1.13836i | 0.395498 | + | 0.918467i | ||
−0.975523 | + | 0.219897i | ||||||||
0 | 0 | |||||||||
−13.2014 | − | 4.28938i | −0.596986 | − | 0.193973i | |||||
0 | 0 | |||||||||
−29.4078 | + | 9.55517i | −1.32716 | + | 0.431219i | −0.884946 | − | 0.465693i | ||
−0.442209 | + | 0.896912i | ||||||||
0 | 0 | |||||||||
−6.75435 | − | 6.75435i | −0.304201 | − | 0.304201i | |||||
0 | 0 | |||||||||
−6.69903 | − | 5.67768i | −0.301099 | − | 0.255193i | |||||
0 | 0 | |||||||||
7.50654 | − | 1.18892i | 0.336714 | − | 0.0533303i | |||||
0 | 0 | |||||||||
−29.4300 | −1.31747 | −0.658733 | − | 0.752377i | ||||||
−0.658733 | + | 0.752377i | ||||||||
0 | 0 | |||||||||
−10.8426 | −0.484413 | |||||||||
0 | 0 | |||||||||
−17.2261 | + | 2.72834i | −0.768073 | + | 0.121651i | −0.528162 | − | 0.849144i | ||
−0.239912 | + | 0.970795i | ||||||||
0 | 0 | |||||||||
24.0371 | + | 20.3723i | 1.06963 | + | 0.906556i | |||||
0 | 0 | |||||||||
−2.31779 | − | 2.31779i | −0.102937 | − | 0.102937i | |||||
0 | 0 | |||||||||
19.0616 | − | 6.19349i | 0.844891 | − | 0.274522i | 0.145586 | − | 0.989346i | ||
0.699304 | + | 0.714824i | ||||||||
0 | 0 | |||||||||
−26.0180 | − | 8.45377i | −1.15097 | − | 0.373973i | |||||
0 | 0 | |||||||||
0.790303 | − | 1.55106i | 0.0348927 | − | 0.0684809i | |||||
0 | 0 | |||||||||
−10.2436 | − | 6.22393i | −0.451387 | − | 0.274259i | |||||
0 | 0 | |||||||||
0.668395 | − | 4.22008i | 0.0293960 | − | 0.185599i | |||||
0 | 0 | |||||||||
33.2260 | − | 24.1401i | 1.45846 | − | 1.05963i | |||||
0 | 0 | |||||||||
17.0280 | + | 12.3716i | 0.746011 | + | 0.542009i | 0.894588 | − | 0.446892i | ||
−0.148577 | + | 0.988901i | ||||||||
0 | 0 | |||||||||
5.05993 | + | 9.93068i | 0.221255 | + | 0.434238i | 0.974776 | − | 0.223186i | ||
−0.753520 | + | 0.657425i | ||||||||
0 | 0 | |||||||||
20.2294 | − | 40.4588i | 0.882883 | − | 1.76577i | |||||
0 | 0 | |||||||||
53.2961 | − | 27.1557i | 2.32161 | − | 1.18292i | |||||
0 | 0 | |||||||||
−4.65148 | + | 6.40221i | −0.202238 | + | 0.278357i | |||||
0 | 0 | |||||||||
−7.15429 | − | 9.84703i | −0.310470 | − | 0.427325i | |||||
0 | 0 | |||||||||
−5.58631 | − | 0.884785i | −0.241970 | − | 0.0383243i | |||||
0 | 0 | |||||||||
0.754004 | + | 9.13701i | 0.0325984 | + | 0.395027i | |||||
0 | 0 | |||||||||
18.8102 | + | 9.58425i | 0.811718 | + | 0.413591i | |||||
0 | 0 | |||||||||
−13.2861 | + | 40.8905i | −0.572275 | + | 1.76128i | |||||
0 | 0 | |||||||||
1.88970 | + | 5.81589i | 0.0812444 | + | 0.250045i | 0.983425 | − | 0.181313i | ||
−0.902181 | + | 0.431358i | ||||||||
0 | 0 | |||||||||
−21.1851 | + | 21.1851i | −0.909138 | + | 0.909138i | |||||
0 | 0 | |||||||||
3.26664 | + | 1.33858i | 0.139927 | + | 0.0573386i | |||||
0 | 0 | |||||||||
1.65747 | + | 10.4648i | 0.0708682 | + | 0.447444i | 0.997451 | + | 0.0713535i | ||
−0.926583 | + | 0.376091i | ||||||||
0 | 0 | |||||||||
− | 2.43486i | − | 0.103917i | |||||||
0 | 0 | |||||||||
0.567177i | 0.0241626i | |||||||||
0 | 0 | |||||||||
−11.6253 | − | 73.3994i | −0.494359 | − | 3.12126i | |||||
0 | 0 | |||||||||
−3.25852 | − | 5.27240i | −0.138317 | − | 0.223801i | |||||
0 | 0 | |||||||||
−23.5420 | + | 23.5420i | −0.997506 | + | 0.997506i | −0.999997 | − | 0.00249078i | ||
0.00249078 | + | 0.999997i | ||||||||
0 | 0 | |||||||||
9.30786 | + | 28.6466i | 0.393680 | + | 1.21162i | |||||
0 | 0 | |||||||||
16.6777 | − | 51.3287i | 0.704133 | − | 2.16710i | |||||
0 | 0 | |||||||||
−16.5402 | − | 8.42768i | −0.697088 | − | 0.355184i | 0.0692697 | − | 0.997598i | ||
−0.766358 | + | 0.642414i | ||||||||
0 | 0 | |||||||||
−1.67294 | + | 0.700407i | −0.0703813 | + | 0.0294664i | |||||
0 | 0 | |||||||||
48.7842 | + | 7.72666i | 2.04874 | + | 0.324489i | |||||
0 | 0 | |||||||||
17.9240 | + | 24.6702i | 0.751412 | + | 1.03423i | 0.997880 | + | 0.0650792i | ||
−0.246468 | + | 0.969151i | ||||||||
0 | 0 | |||||||||
0.613924 | − | 0.844994i | 0.0256919 | − | 0.0353619i | −0.795978 | − | 0.605326i | ||
0.821670 | + | 0.569964i | ||||||||
0 | 0 | |||||||||
17.8765 | − | 9.10855i | 0.746803 | − | 0.380515i | |||||
0 | 0 | |||||||||
−22.3660 | + | 16.5107i | −0.932725 | + | 0.688543i | |||||
0 | 0 | |||||||||
−14.6237 | − | 28.7007i | −0.608794 | − | 1.19483i | −0.965449 | − | 0.260590i | ||
0.356655 | − | 0.934236i | ||||||||
0 | 0 | |||||||||
−23.9786 | − | 17.4214i | −0.996515 | − | 0.724010i | |||||
0 | 0 | |||||||||
−25.7642 | + | 18.7188i | −1.06888 | + | 0.776585i | |||||
0 | 0 | |||||||||
−0.479781 | + | 3.02922i | −0.0198705 | + | 0.125457i | |||||
0 | 0 | |||||||||
−7.50337 | + | 6.45790i | −0.310226 | + | 0.267001i | |||||
0 | 0 | |||||||||
−12.5595 | + | 24.6494i | −0.518386 | + | 1.01739i | 0.472327 | + | 0.881423i | ||
−0.990713 | + | 0.135967i | ||||||||
0 | 0 | |||||||||
−3.37785 | − | 1.09753i | −0.139182 | − | 0.0452230i | |||||
0 | 0 | |||||||||
−27.5670 | + | 8.95706i | −1.13395 | + | 0.368444i | |||||
0 | 0 | |||||||||
25.4162 | + | 25.4162i | 1.04372 | + | 1.04372i | 0.999000 | + | 0.0447166i | ||
0.0447166 | + | 0.999000i | ||||||||
0 | 0 | |||||||||
77.2275 | + | 5.78308i | 3.16602 | + | 0.237083i | |||||
0 | 0 | |||||||||
−30.5528 | + | 4.83909i | −1.25044 | + | 0.198051i | |||||
0 | 0 | |||||||||
17.7420 | 0.724918 | 0.362459 | − | 0.932000i | ||||||
0.362459 | + | 0.932000i | ||||||||
0 | 0 | |||||||||
32.5333 | 1.32706 | 0.663531 | − | 0.748148i | ||||||
0.663531 | + | 0.748148i | ||||||||
0 | 0 | |||||||||
13.1476 | − | 2.08237i | 0.535411 | − | 0.0848008i | |||||
0 | 0 | |||||||||
−0.261673 | − | 1.07201i | −0.0106385 | − | 0.0435833i | |||||
0 | 0 | |||||||||
18.9437 | + | 18.9437i | 0.768903 | + | 0.768903i | 0.977913 | − | 0.209011i | ||
−0.209011 | + | 0.977913i | ||||||||
0 | 0 | |||||||||
−10.5278 | + | 3.42069i | −0.426607 | + | 0.138613i | |||||
0 | 0 | |||||||||
−4.58108 | − | 1.48848i | −0.185331 | − | 0.0602176i | |||||
0 | 0 | |||||||||
19.1250 | − | 37.5349i | 0.772452 | − | 1.51602i | −0.0820818 | − | 0.996626i | ||
0.854534 | − | 0.519396i | ||||||||
0 | 0 | |||||||||
−1.55034 | + | 6.56735i | −0.0625157 | + | 0.264821i | |||||
0 | 0 | |||||||||
2.30094 | − | 14.5276i | 0.0926325 | − | 0.584859i | −0.897089 | − | 0.441850i | ||
0.989721 | − | 0.143009i | ||||||||
0 | 0 | |||||||||
28.6010 | − | 20.7799i | 1.14957 | − | 0.835213i | 0.161148 | − | 0.986930i | ||
0.988424 | + | 0.151717i | ||||||||
0 | 0 | |||||||||
−16.8925 | − | 12.2731i | −0.677872 | − | 0.492503i | |||||
0 | 0 | |||||||||
−15.5849 | − | 30.5871i | −0.624396 | − | 1.22545i | |||||
0 | 0 | |||||||||
−23.6564 | + | 8.08551i | −0.946255 | + | 0.323420i | |||||
0 | 0 | |||||||||
−2.85532 | + | 1.45486i | −0.114031 | + | 0.0581015i | |||||
0 | 0 | |||||||||
6.23727 | − | 8.58486i | 0.248696 | − | 0.342301i | |||||
0 | 0 | |||||||||
−15.8748 | − | 21.8497i | −0.631965 | − | 0.869825i | 0.366190 | − | 0.930540i | ||
−0.998155 | + | 0.0607152i | ||||||||
0 | 0 | |||||||||
−14.0230 | − | 2.22102i | −0.557364 | − | 0.0882777i | |||||
0 | 0 | |||||||||
10.9709 | + | 2.58989i | 0.435368 | + | 0.102777i | |||||
0 | 0 | |||||||||
43.1875 | + | 22.0051i | 1.71115 | + | 0.871875i | |||||
0 | 0 | |||||||||
−0.613225 | + | 1.88731i | −0.0242588 | + | 0.0746609i | |||||
0 | 0 | |||||||||
4.77172 | + | 14.6859i | 0.188472 | + | 0.580057i | 0.999991 | − | 0.00426935i | ||
−0.811519 | + | 0.584326i | ||||||||
0 | 0 | |||||||||
6.76567 | − | 6.76567i | 0.266812 | − | 0.266812i | −0.561002 | − | 0.827814i | ||
0.827814 | + | 0.561002i | ||||||||
0 | 0 | |||||||||
34.9109 | − | 8.52163i | 1.37461 | − | 0.335539i | |||||
0 | 0 | |||||||||
−0.544922 | − | 3.44050i | −0.0214231 | − | 0.135260i | 0.974659 | − | 0.223697i | ||
−0.996082 | + | 0.0884372i | ||||||||
0 | 0 | |||||||||
− | 35.6222i | − | 1.39829i | |||||||
0 | 0 | |||||||||
− | 69.3181i | − | 2.71679i | |||||||
0 | 0 | |||||||||
2.45959 | + | 15.5293i | 0.0962513 | + | 0.607707i | 0.987914 | + | 0.155006i | ||
−0.891662 | + | 0.452701i | ||||||||
0 | 0 | |||||||||
−0.258872 | + | 3.45699i | −0.0101150 | + | 0.135076i | |||||
0 | 0 | |||||||||
5.05092 | − | 5.05092i | 0.197055 | − | 0.197055i | |||||
0 | 0 | |||||||||
1.70198 | + | 5.23816i | 0.0662997 | + | 0.204050i | 0.978718 | − | 0.205209i | ||
−0.912418 | + | 0.409259i | ||||||||
0 | 0 | |||||||||
7.59689 | − | 23.3808i | 0.295485 | − | 0.909409i | −0.687573 | − | 0.726115i | ||
0.983058 | − | 0.183294i | ||||||||
0 | 0 | |||||||||
−54.2120 | − | 27.6224i | −2.10542 | − | 1.07277i | |||||
0 | 0 | |||||||||
−2.99967 | − | 3.48529i | −0.116322 | − | 0.135154i | |||||
0 | 0 | |||||||||
6.71935 | + | 1.06424i | 0.260174 | + | 0.0412076i | |||||
0 | 0 | |||||||||
−14.3768 | − | 19.7879i | −0.555838 | − | 0.765046i | |||||
0 | 0 | |||||||||
4.18857 | − | 5.76507i | 0.161698 | − | 0.222558i | |||||
0 | 0 | |||||||||
−2.82484 | + | 1.43933i | −0.108890 | + | 0.0554821i | −0.507587 | − | 0.861601i | ||
0.398697 | + | 0.917083i | ||||||||
0 | 0 | |||||||||
−11.1520 | − | 15.1069i | −0.429240 | − | 0.581464i | |||||
0 | 0 | |||||||||
−0.808560 | − | 1.58689i | −0.0310755 | − | 0.0609890i | 0.874947 | − | 0.484219i | ||
−0.906022 | + | 0.423230i | ||||||||
0 | 0 | |||||||||
−39.5784 | − | 28.7554i | −1.51888 | − | 1.10353i | |||||
0 | 0 | |||||||||
−11.9683 | + | 8.69546i | −0.458625 | + | 0.333211i | |||||
0 | 0 | |||||||||
5.36210 | − | 33.8550i | 0.205175 | − | 1.29542i | −0.643065 | − | 0.765812i | ||
0.848240 | − | 0.529612i | ||||||||
0 | 0 | |||||||||
−10.8581 | − | 25.9348i | −0.414865 | − | 0.990919i | |||||
0 | 0 | |||||||||
14.2125 | − | 27.8936i | 0.542240 | − | 1.06421i | |||||
0 | 0 | |||||||||
3.28834 | + | 1.06845i | 0.125276 | + | 0.0407046i | |||||
0 | 0 | |||||||||
−40.0444 | + | 13.0112i | −1.52336 | + | 0.494970i | −0.946728 | − | 0.322033i | ||
−0.576633 | + | 0.817003i | ||||||||
0 | 0 | |||||||||
−12.3197 | − | 12.3197i | −0.467986 | − | 0.467986i | |||||
0 | 0 | |||||||||
9.88906 | − | 6.11177i | 0.375113 | − | 0.231833i | |||||
0 | 0 | |||||||||
−11.4105 | + | 1.80724i | −0.432203 | + | 0.0684542i | |||||
0 | 0 | |||||||||
−6.19151 | −0.234185 | |||||||||
0 | 0 | |||||||||
−0.177945 | −0.00672090 | −0.00336045 | − | 0.999994i | ||||||
−0.00336045 | + | 0.999994i | ||||||||
0 | 0 | |||||||||
−0.622323 | + | 0.0985662i | −0.0234713 | + | 0.00371750i | |||||
0 | 0 | |||||||||
−2.17902 | + | 5.31761i | −0.0820665 | + | 0.200273i | |||||
0 | 0 | |||||||||
44.2047 | + | 44.2047i | 1.66249 | + | 1.66249i | |||||
0 | 0 | |||||||||
−31.1456 | + | 10.1198i | −1.16970 | + | 0.380057i | −0.828529 | − | 0.559945i | ||
−0.341167 | + | 0.940003i | ||||||||
0 | 0 | |||||||||
18.4542 | + | 5.99614i | 0.692088 | + | 0.224873i | |||||
0 | 0 | |||||||||
−19.3406 | + | 37.9581i | −0.724311 | + | 1.42154i | |||||
0 | 0 | |||||||||
−28.8751 | + | 2.38283i | −1.07987 | + | 0.0891129i | |||||
0 | 0 | |||||||||
6.78877 | − | 42.8626i | 0.253531 | − | 1.60073i | |||||
0 | 0 | |||||||||
6.46726 | − | 4.69874i | 0.241188 | − | 0.175233i | −0.460624 | − | 0.887595i | ||
0.701812 | + | 0.712362i | ||||||||
0 | 0 | |||||||||
−19.2393 | − | 13.9782i | −0.716509 | − | 0.520574i | |||||
0 | 0 | |||||||||
23.9286 | + | 46.9626i | 0.889915 | + | 1.74656i | |||||
0 | 0 | |||||||||
5.47202 | + | 2.73601i | 0.203226 | + | 0.101613i | |||||
0 | 0 | |||||||||
−23.4758 | + | 11.9615i | −0.870670 | + | 0.443629i | −0.831448 | − | 0.555602i | ||
−0.0392218 | + | 0.999231i | ||||||||
0 | 0 | |||||||||
5.92358 | − | 8.15311i | 0.219392 | − | 0.301967i | |||||
0 | 0 | |||||||||
36.1631 | + | 49.7742i | 1.33754 | + | 1.84096i | |||||
0 | 0 | |||||||||
0.729982 | + | 0.115618i | 0.0269625 | + | 0.00427044i | 0.169901 | − | 0.985461i | ||
−0.142939 | + | 0.989732i | ||||||||
0 | 0 | |||||||||
30.0277 | − | 49.4208i | 1.10759 | − | 1.82291i | |||||
0 | 0 | |||||||||
34.7120 | + | 17.6867i | 1.27863 | + | 0.651497i | |||||
0 | 0 | |||||||||
−3.59062 | + | 11.0508i | −0.132083 | + | 0.406510i | −0.995125 | − | 0.0986224i | ||
0.863042 | + | 0.505133i | ||||||||
0 | 0 | |||||||||
1.11639 | + | 3.43590i | 0.0410117 | + | 0.126221i | |||||
0 | 0 | |||||||||
−17.6779 | + | 17.6779i | −0.648540 | + | 0.648540i | −0.952640 | − | 0.304100i | ||
0.304100 | + | 0.952640i | ||||||||
0 | 0 | |||||||||
−11.6549 | + | 13.7515i | −0.427004 | + | 0.503817i | |||||
0 | 0 | |||||||||
−1.30079 | − | 8.21289i | −0.0475935 | − | 0.300494i | |||||
0 | 0 | |||||||||
18.1898i | 0.664641i | |||||||||
0 | 0 | |||||||||
− | 8.62520i | − | 0.314738i | −0.987540 | − | 0.157369i | ||||
0.987540 | − | 0.157369i | ||||||||
0 | 0 | |||||||||
4.73166 | + | 29.8745i | 0.172431 | + | 1.08869i | |||||
0 | 0 | |||||||||
22.8772 | − | 26.9925i | 0.832585 | − | 0.982358i | |||||
0 | 0 | |||||||||
20.2477 | − | 20.2477i | 0.735915 | − | 0.735915i | −0.235870 | − | 0.971785i | ||
0.971785 | + | 0.235870i | ||||||||
0 | 0 | |||||||||
11.8781 | + | 36.5569i | 0.431146 | + | 1.32693i | |||||
0 | 0 | |||||||||
−10.9950 | + | 33.8391i | −0.398568 | + | 1.22667i | 0.527580 | + | 0.849506i | ||
−0.926148 | + | 0.377161i | ||||||||
0 | 0 | |||||||||
6.24077 | + | 3.17983i | 0.225931 | + | 0.115118i | |||||
0 | 0 | |||||||||
−10.4999 | + | 17.2812i | −0.379626 | + | 0.624805i | |||||
0 | 0 | |||||||||
−39.6645 | − | 6.28224i | −1.43220 | − | 0.226838i | |||||
0 | 0 | |||||||||
5.38162 | + | 7.40717i | 0.194066 | + | 0.267109i | 0.894950 | − | 0.446166i | ||
−0.700884 | + | 0.713275i | ||||||||
0 | 0 | |||||||||
−21.4369 | + | 29.5054i | −0.772033 | + | 1.06261i | |||||
0 | 0 | |||||||||
−4.35369 | + | 2.21832i | −0.156591 | + | 0.0797873i | −0.530530 | − | 0.847666i | ||
0.373939 | + | 0.927453i | ||||||||
0 | 0 | |||||||||
−26.8832 | + | 27.2945i | −0.965674 | + | 0.980448i | |||||
0 | 0 | |||||||||
−5.58283 | − | 10.9569i | −0.200283 | − | 0.393077i | |||||
0 | 0 | |||||||||
0.554960 | + | 0.403202i | 0.0198835 | + | 0.0144462i | |||||
0 | 0 | |||||||||
−4.69860 | + | 3.41373i | −0.168129 | + | 0.122153i | |||||
0 | 0 | |||||||||
−0.718831 | + | 4.53852i | −0.0256889 | + | 0.162193i | |||||
0 | 0 | |||||||||
23.4807 | − | 1.93767i | 0.838061 | − | 0.0691585i | |||||
0 | 0 | |||||||||
−2.38805 | + | 4.68681i | −0.0851248 | + | 0.167067i | −0.929645 | − | 0.368458i | ||
0.844520 | + | 0.535524i | ||||||||
0 | 0 | |||||||||
53.1700 | + | 17.2760i | 1.89290 | + | 0.615041i | |||||
0 | 0 | |||||||||
−3.42223 | + | 1.11195i | −0.121681 | + | 0.0395364i | |||||
0 | 0 | |||||||||
−5.68058 | − | 5.68058i | −0.201723 | − | 0.201723i | |||||
0 | 0 | |||||||||
1.56412 | − | 3.81704i | 0.0554736 | − | 0.135376i | |||||
0 | 0 | |||||||||
−29.1549 | + | 4.61769i | −1.03272 | + | 0.163567i | −0.649714 | − | 0.760179i | ||
−0.383007 | + | 0.923746i | ||||||||
0 | 0 | |||||||||
−9.83876 | −0.348070 | |||||||||
0 | 0 | |||||||||
8.96344 | 0.316707 | |||||||||
0 | 0 | |||||||||
20.6480 | − | 3.27032i | 0.728653 | − | 0.115407i | |||||
0 | 0 | |||||||||
−46.9187 | + | 28.9974i | −1.65367 | + | 1.02202i | |||||
0 | 0 | |||||||||
−8.31486 | − | 8.31486i | −0.292697 | − | 0.292697i | |||||
0 | 0 | |||||||||
29.7303 | − | 9.65994i | 1.04526 | − | 0.339626i | 0.264453 | − | 0.964398i | ||
0.780807 | + | 0.624773i | ||||||||
0 | 0 | |||||||||
41.3581 | + | 13.4380i | 1.45228 | + | 0.471874i | 0.925702 | − | 0.378254i | ||
0.526576 | + | 0.850128i | ||||||||
0 | 0 | |||||||||
9.07522 | − | 17.8111i | 0.318282 | − | 0.624663i | |||||
0 | 0 | |||||||||
5.87805 | + | 14.0399i | 0.205899 | + | 0.491796i | |||||
0 | 0 | |||||||||
0.571477 | − | 3.60817i | 0.0199935 | − | 0.126234i | |||||
0 | 0 | |||||||||
−15.8903 | + | 11.5450i | −0.555253 | + | 0.403415i | |||||
0 | 0 | |||||||||
−40.1380 | − | 29.1620i | −1.40083 | − | 1.01776i | −0.994578 | − | 0.103997i | ||
−0.406249 | − | 0.913763i | ||||||||
0 | 0 | |||||||||
−6.19436 | − | 12.1571i | −0.215922 | − | 0.423771i | 0.757485 | − | 0.652852i | ||
−0.973407 | + | 0.229082i | ||||||||
0 | 0 | |||||||||
0.262404 | + | 34.5657i | 0.00913572 | + | 1.20342i | |||||
0 | 0 | |||||||||
23.8274 | − | 12.1406i | 0.828558 | − | 0.422171i | 0.0123460 | − | 0.999924i | ||
0.816212 | + | 0.577752i | ||||||||
0 | 0 | |||||||||
−26.5793 | + | 36.5832i | −0.923136 | + | 1.27059i | 0.0393407 | + | 0.999226i | ||
−0.962477 | + | 0.271363i | ||||||||
0 | 0 | |||||||||
11.2064 | + | 15.4243i | 0.388746 | + | 0.535064i | |||||
0 | 0 | |||||||||
97.7858 | + | 15.4878i | 3.38808 | + | 0.536619i | |||||
0 | 0 | |||||||||
7.75576 | + | 9.01134i | 0.268399 | + | 0.311850i | |||||
0 | 0 | |||||||||
−25.6384 | − | 13.0634i | −0.886192 | − | 0.451538i | |||||
0 | 0 | |||||||||
−11.1825 | + | 34.4161i | −0.386062 | + | 1.18818i | 0.549645 | + | 0.835398i | ||
−0.935707 | + | 0.352778i | ||||||||
0 | 0 | |||||||||
8.49885 | + | 26.1568i | 0.293064 | + | 0.901957i | |||||
0 | 0 | |||||||||
6.47407 | − | 6.47407i | 0.222979 | − | 0.222979i | |||||
0 | 0 | |||||||||
−0.268402 | + | 3.58425i | −0.00923330 | + | 0.123302i | |||||
0 | 0 | |||||||||
−0.342490 | − | 2.16240i | −0.0117681 | − | 0.0743008i | |||||
0 | 0 | |||||||||
51.8912i | 1.78090i | |||||||||
0 | 0 | |||||||||
7.55761i | 0.259072i | |||||||||
0 | 0 | |||||||||
1.36501 | + | 8.61833i | 0.0467371 | + | 0.295086i | 0.999975 | − | 0.00713613i | ||
−0.953237 | + | 0.302222i | ||||||||
0 | 0 | |||||||||
1.16642 | − | 0.284720i | 0.0398908 | − | 0.00973722i | |||||
0 | 0 | |||||||||
−33.2545 | + | 33.2545i | −1.13595 | + | 1.13595i | −0.146781 | + | 0.989169i | ||
−0.989169 | + | 0.146781i | ||||||||
0 | 0 | |||||||||
5.11046 | + | 15.7284i | 0.174367 | + | 0.536645i | 0.999604 | − | 0.0281409i | ||
−0.825237 | + | 0.564786i | ||||||||
0 | 0 | |||||||||
−4.13713 | + | 12.7328i | −0.140993 | + | 0.433931i | |||||
0 | 0 | |||||||||
33.5995 | + | 17.1198i | 1.14374 | + | 0.582764i | 0.920013 | − | 0.391888i | ||
0.223726 | + | 0.974652i | ||||||||
0 | 0 | |||||||||
−43.8295 | − | 10.3467i | −1.49025 | − | 0.351800i | |||||
0 | 0 | |||||||||
−88.5080 | − | 14.0183i | −3.00589 | − | 0.476086i | |||||
0 | 0 | |||||||||
33.3796 | + | 45.9431i | 1.13233 | + | 1.55851i | |||||
0 | 0 | |||||||||
25.8154 | − | 35.5318i | 0.874721 | − | 1.20395i | |||||
0 | 0 | |||||||||
11.3815 | − | 5.79915i | 0.385205 | − | 0.196272i | |||||
0 | 0 | |||||||||
−48.0956 | + | 12.1276i | −1.62593 | + | 0.409986i | |||||
0 | 0 | |||||||||
−9.78063 | − | 19.1956i | −0.330269 | − | 0.648188i | 0.664839 | − | 0.746987i | ||
−0.995107 | + | 0.0987983i | ||||||||
0 | 0 | |||||||||
−19.3439 | − | 14.0542i | −0.652454 | − | 0.474035i | |||||
0 | 0 | |||||||||
8.59034 | − | 6.24125i | 0.289416 | − | 0.210273i | −0.433598 | − | 0.901106i | ||
0.723014 | + | 0.690833i | ||||||||
0 | 0 | |||||||||
−2.52020 | + | 15.9119i | −0.0848116 | + | 0.535479i | 0.908301 | + | 0.418317i | ||
−0.993113 | + | 0.117162i | ||||||||
0 | 0 | |||||||||
−11.0079 | + | 46.6301i | −0.370026 | + | 1.56745i | |||||
0 | 0 | |||||||||
−3.23809 | + | 6.35512i | −0.108725 | + | 0.213384i | −0.938958 | − | 0.344032i | ||
0.830233 | + | 0.557416i | ||||||||
0 | 0 | |||||||||
21.2704 | + | 6.91118i | 0.713388 | + | 0.231794i | |||||
0 | 0 | |||||||||
−35.8968 | + | 11.6636i | −1.20259 | + | 0.390745i | |||||
0 | 0 | |||||||||
0.413091 | + | 0.413091i | 0.0138236 | + | 0.0138236i | |||||
0 | 0 | |||||||||
−5.48945 | − | 22.4888i | −0.183492 | − | 0.751718i | |||||
0 | 0 | |||||||||
42.8000 | − | 6.77885i | 1.42905 | − | 0.226339i | |||||
0 | 0 | |||||||||
9.37522 | 0.312681 | |||||||||
0 | 0 | |||||||||
7.06236 | 0.235281 | |||||||||
0 | 0 | |||||||||
70.4204 | − | 11.1535i | 2.34344 | − | 0.371165i | |||||
0 | 0 | |||||||||
32.7607 | + | 2.45324i | 1.08900 | + | 0.0815485i | |||||
0 | 0 | |||||||||
−19.7382 | − | 19.7382i | −0.655396 | − | 0.655396i | 0.298891 | − | 0.954287i | ||
−0.954287 | + | 0.298891i | ||||||||
0 | 0 | |||||||||
−15.5241 | + | 5.04410i | −0.514903 | + | 0.167302i | |||||
0 | 0 | |||||||||
7.60272 | + | 2.47027i | 0.251889 | + | 0.0818438i | 0.432240 | − | 0.901759i | ||
−0.180351 | + | 0.983602i | ||||||||
0 | 0 | |||||||||
11.0483 | − | 21.6835i | 0.365646 | − | 0.717620i | |||||
0 | 0 | |||||||||
−7.26442 | + | 6.25224i | −0.240154 | + | 0.206693i | |||||
0 | 0 | |||||||||
−1.07596 | + | 6.79332i | −0.0355312 | + | 0.224335i | |||||
0 | 0 | |||||||||
45.7747 | − | 33.2573i | 1.50997 | − | 1.09706i | 0.543778 | − | 0.839229i | ||
0.966191 | − | 0.257827i | ||||||||
0 | 0 | |||||||||
−35.0230 | − | 25.4457i | −1.15405 | − | 0.838464i | |||||
0 | 0 | |||||||||
2.97247 | + | 5.83381i | 0.0978402 | + | 0.192022i | |||||
0 | 0 | |||||||||
−2.05108 | + | 6.47953i | −0.0674391 | + | 0.213046i | |||||
0 | 0 | |||||||||
5.53260 | − | 2.81900i | 0.181715 | − | 0.0925882i | |||||
0 | 0 | |||||||||
−35.5268 | + | 48.8984i | −1.16560 | + | 1.60431i | −0.477635 | + | 0.878558i | ||
−0.687961 | + | 0.725748i | ||||||||
0 | 0 | |||||||||
−3.45537 | − | 4.75591i | −0.113245 | − | 0.155869i | |||||
0 | 0 | |||||||||
−37.7941 | − | 5.98600i | −1.23732 | − | 0.195973i | |||||
0 | 0 | |||||||||
−54.5890 | + | 22.8547i | −1.78525 | + | 0.747427i | |||||
0 | 0 | |||||||||
−16.3594 | − | 8.33555i | −0.534440 | − | 0.272311i | 0.165873 | − | 0.986147i | ||
−0.700312 | + | 0.713837i | ||||||||
0 | 0 | |||||||||
9.34413 | − | 28.7583i | 0.304934 | − | 0.938491i | |||||
0 | 0 | |||||||||
−17.3832 | − | 53.5000i | −0.566676 | − | 1.74405i | −0.662918 | − | 0.748692i | ||
0.0962423 | − | 0.995358i | ||||||||
0 | 0 | |||||||||
5.81806 | − | 5.81806i | 0.189462 | − | 0.189462i | |||||
0 | 0 | |||||||||
−19.5860 | − | 31.6908i | −0.637132 | − | 1.03090i | |||||
0 | 0 | |||||||||
−8.31394 | − | 52.4921i | −0.270167 | − | 1.70576i | −0.633200 | − | 0.773989i | ||
0.363033 | − | 0.931776i | ||||||||
0 | 0 | |||||||||
− | 23.5678i | − | 0.765043i | |||||||
0 | 0 | |||||||||
32.2945i | 1.04722i | |||||||||
0 | 0 | |||||||||
0.0979909 | + | 0.618690i | 0.00317424 | + | 0.0200413i | 0.989225 | − | 0.146406i | ||
−0.986050 | + | 0.166447i | ||||||||
0 | 0 | |||||||||
−20.3573 | − | 8.34188i | −0.658746 | − | 0.269937i | |||||
0 | 0 | |||||||||
5.98145 | − | 5.98145i | 0.193353 | − | 0.193353i | |||||
0 | 0 | |||||||||
−17.2380 | − | 53.0532i | −0.556645 | − | 1.71318i | |||||
0 | 0 | |||||||||
−8.56224 | + | 26.3519i | −0.276201 | + | 0.850060i | |||||
0 | 0 | |||||||||
−4.23181 | − | 2.15622i | −0.136368 | − | 0.0694831i | |||||
0 | 0 | |||||||||
2.67291 | + | 32.3903i | 0.0860440 | + | 1.04268i | |||||
0 | 0 | |||||||||
−14.8068 | − | 2.34516i | −0.476154 | − | 0.0754153i | −0.0862550 | − | 0.996273i | ||
−0.389899 | + | 0.920858i | ||||||||
0 | 0 | |||||||||
4.33743 | + | 5.96996i | 0.139338 | + | 0.191783i | |||||
0 | 0 | |||||||||
33.6414 | − | 46.3034i | 1.07960 | − | 1.48595i | 0.219647 | − | 0.975579i | ||
0.859956 | − | 0.510368i | ||||||||
0 | 0 | |||||||||
20.5511 | − | 10.4713i | 0.658838 | − | 0.335695i | |||||
0 | 0 | |||||||||
38.5344 | + | 5.80374i | 1.23409 | + | 0.185868i | |||||
0 | 0 | |||||||||
6.58360 | + | 12.9210i | 0.210628 | + | 0.413381i | 0.972016 | − | 0.234916i | ||
−0.761388 | + | 0.648297i | ||||||||
0 | 0 | |||||||||
21.2229 | + | 15.4194i | 0.678288 | + | 0.492805i | |||||
0 | 0 | |||||||||
−1.47956 | + | 1.07496i | −0.0472386 | + | 0.0343209i | |||||
0 | 0 | |||||||||
2.85036 | − | 17.9964i | 0.0909122 | − | 0.573997i | −0.899615 | − | 0.436683i | ||
0.990528 | − | 0.137314i | ||||||||
0 | 0 | |||||||||
27.1630 | + | 16.5040i | 0.865484 | + | 0.525861i | |||||
0 | 0 | |||||||||
−5.17630 | + | 10.1591i | −0.164763 | + | 0.323366i | |||||
0 | 0 | |||||||||
−41.6737 | − | 13.5406i | −1.32515 | − | 0.430566i | |||||
0 | 0 | |||||||||
19.9240 | − | 6.47370i | 0.632907 | − | 0.205644i | 0.0250446 | − | 0.999686i | ||
0.607862 | + | 0.794042i | ||||||||
0 | 0 | |||||||||
27.3129 | + | 27.3129i | 0.866750 | + | 0.866750i | |||||
0 | 0 | |||||||||
25.8763 | + | 21.9311i | 0.820334 | + | 0.695264i | |||||
0 | 0 | |||||||||
47.9547 | − | 7.59528i | 1.51874 | − | 0.240545i | 0.659339 | − | 0.751846i | ||
0.859402 | + | 0.511301i | ||||||||
0 | 0 | |||||||||
−5.10471 | −0.161506 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 400.2.bi.b.303.2 | yes | 16 | |
4.3 | odd | 2 | inner | 400.2.bi.b.303.1 | ✓ | 16 | |
25.17 | odd | 20 | inner | 400.2.bi.b.367.1 | yes | 16 | |
100.67 | even | 20 | inner | 400.2.bi.b.367.2 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.bi.b.303.1 | ✓ | 16 | 4.3 | odd | 2 | inner | |
400.2.bi.b.303.2 | yes | 16 | 1.1 | even | 1 | trivial | |
400.2.bi.b.367.1 | yes | 16 | 25.17 | odd | 20 | inner | |
400.2.bi.b.367.2 | yes | 16 | 100.67 | even | 20 | inner |