Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [42,6,Mod(5,42)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(42, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("42.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 42.f (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 | 17.12 | ||
Character | 42.17 | ||
Dual form | 42.6.f.a.5.12 |
-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 .
3.46410 | − | 2.00000i | 0.612372 | − | 0.353553i | |||||
9.95138 | + | 11.9988i | 0.638381 | + | 0.769720i | |||||
8.00000 | − | 13.8564i | 0.250000 | − | 0.433013i | |||||
41.5931 | + | 72.0414i | 0.744040 | + | 1.28872i | 0.950642 | + | 0.310291i | ||
−0.206601 | + | 0.978425i | ||||||||
58.4701 | + | 21.6621i | 0.663064 | + | 0.245654i | |||||
−128.746 | − | 15.2171i | −0.993087 | − | 0.117378i | |||||
− | 64.0000i | − | 0.353553i | |||||||
−44.9401 | + | 238.808i | −0.184939 | + | 0.982750i | |||||
288.166 | + | 166.372i | 0.911260 | + | 0.526116i | |||||
455.598 | + | 263.039i | 1.13527 | + | 0.655449i | 0.945255 | − | 0.326332i | ||
0.190016 | + | 0.981781i | ||||||||
245.871 | − | 41.9003i | 0.492894 | − | 0.0839971i | |||||
− | 776.119i | − | 1.27371i | −0.770984 | − | 0.636854i | ||||
0.770984 | − | 0.636854i | ||||||||
−476.422 | + | 204.778i | −0.649639 | + | 0.279230i | |||||
−450.498 | + | 1215.98i | −0.516969 | + | 1.39540i | |||||
−128.000 | − | 221.703i | −0.125000 | − | 0.216506i | |||||
236.487 | − | 409.607i | 0.198465 | − | 0.343752i | −0.749566 | − | 0.661930i | ||
0.948031 | + | 0.318178i | ||||||||
321.939 | + | 917.136i | 0.234203 | + | 0.667195i | |||||
1715.14 | − | 990.236i | 1.08997 | − | 0.629295i | 0.156403 | − | 0.987693i | ||
0.933569 | + | 0.358398i | ||||||||
1330.98 | 0.744040 | |||||||||
−1098.61 | − | 1696.22i | −0.543620 | − | 0.839331i | |||||
2104.32 | 0.926945 | |||||||||
−1495.70 | + | 863.545i | −0.589557 | + | 0.340381i | −0.764922 | − | 0.644122i | ||
0.175365 | + | 0.984503i | ||||||||
767.920 | − | 636.888i | 0.272137 | − | 0.225702i | |||||
−1897.48 | + | 3286.52i | −0.607192 | + | 1.05169i | |||||
−1552.24 | − | 2688.56i | −0.450324 | − | 0.779984i | |||||
−3312.62 | + | 1837.25i | −0.874504 | + | 0.485018i | |||||
−1240.82 | + | 1662.22i | −0.299098 | + | 0.400675i | |||||
− | 6041.29i | − | 1.33393i | −0.745087 | − | 0.666967i | ||||
0.745087 | − | 0.666967i | ||||||||
871.383 | + | 5113.26i | 0.176769 | + | 1.03728i | |||||
−7504.86 | − | 4332.93i | −1.40262 | − | 0.809800i | −0.407955 | − | 0.913002i | ||
−0.994660 | + | 0.103202i | ||||||||
−886.810 | − | 512.000i | −0.153093 | − | 0.0883883i | |||||
1377.68 | + | 8084.21i | 0.220223 | + | 1.29227i | |||||
− | 1891.89i | − | 0.280672i | |||||||
−4258.67 | − | 9907.94i | −0.587631 | − | 1.36714i | |||||
2949.50 | + | 2533.17i | 0.379309 | + | 0.325768i | |||||
1507.67 | + | 2611.36i | 0.181052 | + | 0.313591i | 0.942239 | − | 0.334941i | ||
−0.761187 | + | 0.648532i | ||||||||
3960.94 | − | 6860.55i | 0.444979 | − | 0.770726i | |||||
9312.46 | − | 7723.46i | 0.980399 | − | 0.813112i | |||||
4610.65 | − | 2661.96i | 0.455630 | − | 0.263058i | |||||
−1633.44 | −0.151756 | −0.0758778 | − | 0.997117i | ||||||
−0.0758778 | + | 0.997117i | ||||||||
−7198.14 | − | 3678.65i | −0.629646 | − | 0.321785i | |||||
−1198.75 | −0.0988682 | −0.0494341 | − | 0.998777i | ||||||
−0.0494341 | + | 0.998777i | ||||||||
7289.56 | − | 4208.63i | 0.567636 | − | 0.327725i | |||||
−19073.3 | + | 6695.23i | −1.40409 | + | 0.492872i | |||||
−3454.18 | + | 5982.81i | −0.240686 | + | 0.416880i | |||||
1937.57 | + | 3355.97i | 0.127942 | + | 0.221602i | 0.922879 | − | 0.385090i | ||
−0.794937 | + | 0.606692i | ||||||||
1386.38 | − | 3742.09i | 0.0868517 | − | 0.234429i | |||||
16343.9 | + | 3918.26i | 0.972445 | + | 0.233133i | |||||
15179.8i | 0.858700i | |||||||||
7268.14 | − | 1238.61i | 0.391289 | − | 0.0666820i | |||||
−10754.2 | − | 6208.95i | −0.551532 | − | 0.318427i | |||||
3242.15 | + | 1871.86i | 0.158542 | + | 0.0915342i | 0.577172 | − | 0.816623i | ||
−0.418630 | + | 0.908157i | ||||||||
−7800.75 | + | 12989.6i | −0.364042 | + | 0.606196i | |||||
43762.5i | 1.95072i | |||||||||
−973.892 | + | 8239.72i | −0.0414993 | + | 0.351109i | |||||
28949.6 | + | 10725.3i | 1.18020 | + | 0.437243i | |||||
−12082.6 | − | 20927.6i | −0.471617 | − | 0.816865i | |||||
3242.61 | − | 5616.36i | 0.121273 | − | 0.210051i | −0.798997 | − | 0.601335i | ||
0.920270 | + | 0.391284i | ||||||||
13245.1 | + | 15970.1i | 0.474981 | + | 0.572703i | |||||
38557.1 | − | 22260.9i | 1.32672 | − | 0.765983i | 0.341930 | − | 0.939725i | ||
0.984791 | + | 0.173742i | ||||||||
−34663.5 | −1.14523 | |||||||||
9419.81 | − | 30061.7i | 0.299013 | − | 0.954249i | |||||
−4096.00 | −0.125000 | |||||||||
55912.7 | − | 32281.2i | 1.64145 | − | 0.947691i | |||||
20940.8 | + | 25249.2i | 0.591744 | + | 0.713489i | |||||
−12183.6 | + | 21102.5i | −0.331579 | + | 0.574312i | −0.982822 | − | 0.184558i | ||
0.651243 | + | 0.758870i | ||||||||
−3783.79 | − | 6553.71i | −0.0992326 | − | 0.171876i | |||||
−25245.8 | − | 9353.12i | −0.638360 | − | 0.236501i | |||||
−34568.4 | − | 25804.8i | −0.843206 | − | 0.629441i | |||||
83508.1i | 1.96600i | 0.183614 | + | 0.982999i | ||||||
−0.183614 | + | 0.982999i | ||||||||
15283.7 | + | 2876.17i | 0.347455 | + | 0.0653857i | |||||
11102.7 | + | 6410.14i | 0.243849 | + | 0.140786i | 0.616944 | − | 0.787007i | ||
−0.373096 | + | 0.927793i | ||||||||
10445.5 | + | 6030.69i | 0.221742 | + | 0.128023i | |||||
−58316.7 | + | 9938.11i | −1.19713 | + | 0.204010i | |||||
− | 31687.5i | − | 0.629295i | |||||||
−54653.5 | − | 40798.0i | −1.05049 | − | 0.784174i | |||||
16812.4 | − | 45379.8i | 0.312891 | − | 0.844551i | |||||
−20166.2 | − | 34928.9i | −0.363544 | − | 0.629677i | 0.624997 | − | 0.780627i | ||
−0.988541 | + | 0.150950i | ||||||||
10647.8 | − | 18442.6i | 0.186010 | − | 0.322179i | |||||
−55009.8 | − | 21464.1i | −0.931595 | − | 0.363497i | |||||
−5658.42 | + | 3266.89i | −0.0929310 | + | 0.0536537i | |||||
−72802.8 | −1.15999 | −0.579993 | − | 0.814621i | ||||||
−0.579993 | + | 0.814621i | ||||||||
−32292.4 | + | 1653.06i | −0.499346 | + | 0.0255617i | |||||
39344.9 | 0.590664 | |||||||||
−4152.59 | + | 2397.50i | −0.0605442 | + | 0.0349552i | |||||
72487.9 | − | 60119.1i | 1.02676 | − | 0.851559i | |||||
16834.5 | − | 29158.2i | 0.231736 | − | 0.401379i | |||||
−29278.3 | − | 50711.6i | −0.391806 | − | 0.678629i | 0.600882 | − | 0.799338i | ||
−0.992688 | + | 0.120710i | ||||||||
−52681.3 | + | 61339.5i | −0.685568 | + | 0.798241i | |||||
−11810.3 | + | 99922.0i | −0.149505 | + | 1.26490i | |||||
27633.4i | 0.340381i | |||||||||
−22693.9 | − | 133168.i | −0.272083 | − | 1.59658i | |||||
13423.9 | + | 7750.29i | 0.156696 | + | 0.0904687i | |||||
142676. | + | 82374.0i | 1.62197 | + | 0.936442i | |||||
−2681.62 | − | 15735.7i | −0.0296975 | − | 0.174264i | |||||
− | 1016.75i | − | 0.0109720i | −0.999985 | − | 0.00548598i | ||||
0.999985 | − | 0.00548598i | ||||||||
64453.4 | − | 19114.5i | 0.677923 | − | 0.201047i | |||||
−83290.6 | + | 96979.4i | −0.854099 | + | 0.994470i | |||||
30359.6 | + | 52584.4i | 0.303596 | + | 0.525844i | |||||
−38949.4 | + | 67462.3i | −0.379924 | + | 0.658048i | −0.991051 | − | 0.133485i | ||
0.611127 | + | 0.791533i | ||||||||
22700.4 | − | 18826.9i | 0.216039 | − | 0.179176i | |||||
−27539.1 | + | 15899.7i | −0.255774 | + | 0.147671i | −0.622405 | − | 0.782695i | ||
0.366631 | + | 0.930366i | ||||||||
−49671.6 | −0.450324 | |||||||||
76503.3 | − | 149696.i | 0.677184 | − | 1.32507i | |||||
14974.9 | 0.129449 | |||||||||
−16416.1 | + | 9477.84i | −0.138615 | + | 0.0800295i | −0.567704 | − | 0.823233i | ||
0.429089 | + | 0.903262i | ||||||||
−1043.31 | + | 60598.9i | −0.00860706 | + | 0.499926i | |||||
73590.8 | − | 127463.i | 0.593277 | − | 1.02759i | −0.400511 | − | 0.916292i | ||
0.993788 | − | 0.111293i | ||||||||
87525.0 | + | 151598.i | 0.689685 | + | 1.19457i | |||||
−16329.7 | + | 44076.9i | −0.125797 | + | 0.339550i | |||||
13105.8 | + | 30491.0i | 0.0987229 | + | 0.229682i | |||||
156121.i | 1.15018i | 0.818090 | + | 0.575091i | ||||||
−0.818090 | + | 0.575091i | ||||||||
121735. | − | 20745.6i | 0.877310 | − | 0.149508i | |||||
−124422. | − | 71835.1i | −0.877309 | − | 0.506514i | |||||
−83710.5 | − | 48330.3i | −0.577610 | − | 0.333484i | |||||
185344. | + | 34878.9i | 1.25174 | + | 0.235558i | |||||
− | 25940.9i | − | 0.171506i | |||||||
−36679.6 | + | 49136.5i | −0.237442 | + | 0.318080i | |||||
77822.5 | + | 28831.9i | 0.493347 | + | 0.182776i | |||||
57853.9 | + | 100206.i | 0.359227 | + | 0.622200i | |||||
89043.8 | − | 154228.i | 0.541632 | − | 0.938134i | |||||
−16255.0 | − | 19599.3i | −0.0968779 | − | 0.116809i | |||||
−120078. | + | 69327.0i | −0.701308 | + | 0.404900i | |||||
−55730.8 | −0.319022 | |||||||||
−27492.2 | − | 122976.i | −0.154270 | − | 0.690073i | |||||
−93493.1 | −0.514364 | −0.257182 | − | 0.966363i | ||||||
−0.257182 | + | 0.966363i | ||||||||
−14189.0 | + | 8192.00i | −0.0765466 | + | 0.0441942i | |||||
−11929.2 | − | 14383.5i | −0.0631156 | − | 0.0761009i | |||||
129125. | − | 223651.i | 0.670118 | − | 1.16068i | |||||
41351.8 | + | 71623.4i | 0.210531 | + | 0.364651i | 0.951881 | − | 0.306468i | ||
−0.741350 | + | 0.671119i | ||||||||
123039. | + | 45584.0i | 0.614624 | + | 0.227707i | |||||
−235885. | + | 101389.i | −1.15630 | + | 0.497007i | |||||
97468.4i | 0.468924i | |||||||||
−270140. | − | 162229.i | −1.27572 | − | 0.766114i | |||||
−26214.8 | − | 15135.1i | −0.121535 | − | 0.0701680i | |||||
67342.4 | + | 38880.2i | 0.306540 | + | 0.176981i | 0.645377 | − | 0.763864i | ||
−0.338837 | + | 0.940845i | ||||||||
−106160. | + | 18091.4i | −0.474530 | + | 0.0808676i | |||||
37846.0i | 0.166143i | 0.996544 | + | 0.0830717i | ||||||
−0.996544 | + | 0.0830717i | ||||||||
−171358. | − | 20253.6i | −0.738897 | − | 0.0873338i | |||||
−20986.0 | + | 56645.0i | −0.0888959 | + | 0.239946i | |||||
167016. | + | 289281.i | 0.695085 | + | 1.20392i | |||||
204150. | − | 353598.i | 0.834851 | − | 1.44600i | |||||
58696.7 | − | 20604.1i | 0.235889 | − | 0.0828033i | |||||
435223. | − | 251276.i | 1.71906 | − | 0.992501i | |||||
51281.1 | 0.199102 | |||||||||
115630. | + | 235098.i | 0.441344 | + | 0.897338i | |||||
48245.5 | 0.181052 | |||||||||
−27044.6 | + | 15614.2i | −0.0997963 | + | 0.0576174i | −0.549068 | − | 0.835778i | ||
0.449271 | + | 0.893395i | ||||||||
−182139. | + | 151060.i | −0.660958 | + | 0.548178i | |||||
−178073. | + | 308431.i | −0.635559 | + | 1.10082i | 0.350838 | + | 0.936436i | ||
−0.986397 | + | 0.164383i | ||||||||
−63375.1 | − | 109769.i | −0.222490 | − | 0.385363i | |||||
87189.8 | + | 74882.7i | 0.301118 | + | 0.258615i | |||||
−270921. | − | 32021.5i | −0.920538 | − | 0.108803i | |||||
− | 720881.i | − | 2.41010i | |||||||
−32519.7 | − | 190825.i | −0.106988 | − | 0.627803i | |||||
274500. | + | 158483.i | 0.888778 | + | 0.513136i | 0.873543 | − | 0.486748i | ||
0.0152354 | + | 0.999884i | ||||||||
−139716. | − | 80664.9i | −0.445249 | − | 0.257064i | |||||
9803.94 | + | 57529.4i | 0.0307544 | + | 0.180467i | |||||
− | 85182.7i | − | 0.263058i | |||||||
205706. | − | 88417.4i | 0.625435 | − | 0.268827i | |||||
−233488. | + | 35665.6i | −0.698999 | + | 0.106773i | |||||
−82192.0 | − | 142361.i | −0.242304 | − | 0.419683i | 0.719066 | − | 0.694942i | ||
−0.961370 | + | 0.275259i | ||||||||
−13067.6 | + | 22633.7i | −0.0379389 | + | 0.0657121i | |||||
−525096. | + | 435497.i | −1.50151 | + | 1.24530i | |||||
−252196. | + | 145606.i | −0.710344 | + | 0.410117i | |||||
−628234. | −1.74313 | −0.871565 | − | 0.490279i | ||||||
−0.871565 | + | 0.490279i | ||||||||
−108558. | + | 70311.1i | −0.296748 | + | 0.192199i | |||||
−231068. | −0.622334 | |||||||||
136295. | − | 78689.7i | 0.361707 | − | 0.208831i | |||||
159398. | + | 454091.i | 0.416862 | + | 1.18755i | |||||
−9589.98 | + | 16610.3i | −0.0247171 | + | 0.0428112i | |||||
−305092. | − | 528435.i | −0.775024 | − | 1.34238i | −0.934781 | − | 0.355225i | ||
0.159756 | − | 0.987156i | ||||||||
130867. | − | 353235.i | 0.327686 | − | 0.884484i | |||||
294303. | − | 394252.i | 0.726440 | − | 0.973147i | |||||
− | 134676.i | − | 0.327725i | |||||||
99657.8 | − | 16983.3i | 0.239099 | − | 0.0407464i | |||||
−202846. | − | 117113.i | −0.479863 | − | 0.277049i | |||||
663103. | + | 382843.i | 1.54685 | + | 0.893075i | 0.998380 | + | 0.0569050i | ||
0.548471 | + | 0.836170i | ||||||||
−59814.4 | + | 317849.i | −0.137602 | + | 0.731206i | |||||
− | 490433.i | − | 1.11271i | −0.830944 | − | 0.556356i | ||||
0.830944 | − | 0.556356i | ||||||||
158932. | + | 369760.i | 0.355658 | + | 0.827450i | |||||
650800. | + | 241110.i | 1.43655 | + | 0.532215i | |||||
55266.9 | + | 95725.0i | 0.120343 | + | 0.208440i | |||||
−125418. | + | 217230.i | −0.269420 | + | 0.466648i | |||||
−344949. | − | 415918.i | −0.731094 | − | 0.881507i | |||||
215485. | − | 124411.i | 0.450624 | − | 0.260168i | |||||
62002.3 | 0.127942 | |||||||||
454443. | − | 186129.i | 0.925389 | − | 0.379018i | |||||
658992. | 1.32433 | |||||||||
−295276. | + | 170477.i | −0.585658 | + | 0.338130i | −0.763379 | − | 0.645951i | ||
0.177721 | + | 0.984081i | ||||||||
−40760.8 | − | 49146.9i | −0.0797977 | − | 0.0962150i | |||||
−108547. | + | 188009.i | −0.209761 | + | 0.363316i | −0.951639 | − | 0.307218i | ||
0.741878 | + | 0.670534i | ||||||||
−2033.50 | − | 3522.12i | −0.00387918 | − | 0.00671893i | |||||
943743. | + | 349640.i | 1.77733 | + | 0.658468i | |||||
185044. | − | 195121.i | 0.344061 | − | 0.362798i | |||||
− | 7576.18i | − | 0.0139086i | −0.999976 | − | 0.00695432i | ||||
0.999976 | − | 0.00695432i | ||||||||
−94568.2 | + | 502528.i | −0.171428 | + | 0.910955i | |||||
−634693. | − | 366440.i | −1.13614 | − | 0.655950i | −0.190667 | − | 0.981655i | ||
−0.945472 | + | 0.325705i | ||||||||
210338. | + | 121438.i | 0.371828 | + | 0.214675i | |||||
−374447. | + | 63811.9i | −0.653733 | + | 0.111407i | |||||
311595.i | 0.537294i | |||||||||
−91930.7 | + | 777789.i | −0.156574 | + | 1.32471i | |||||
40982.4 | − | 110619.i | 0.0689481 | − | 0.186104i | |||||
−67940.1 | − | 117676.i | −0.112912 | − | 0.195570i | |||||
−63598.9 | + | 110156.i | −0.104419 | + | 0.180860i | |||||
−139005. | − | 395994.i | −0.225477 | − | 0.642337i | |||||
−172068. | + | 99343.3i | −0.275766 | + | 0.159214i | |||||
1.04188e6 | 1.64988 | |||||||||
−34377.9 | − | 671570.i | −0.0537936 | − | 1.05086i | |||||
−438196. | −0.677583 | −0.338791 | − | 0.940862i | ||||||
−0.338791 | + | 0.940862i | ||||||||
51874.5 | − | 29949.7i | 0.0792709 | − | 0.0457671i | |||||
−1.00199e6 | + | 831021.i | −1.51327 | + | 1.25506i | |||||
−37911.4 | + | 65664.4i | −0.0565894 | + | 0.0980157i | |||||
−49859.7 | − | 86359.5i | −0.0735620 | − | 0.127413i | |||||
117584. | + | 212008.i | 0.171480 | + | 0.309184i | |||||
900284. | + | 672048.i | 1.29787 | + | 0.968838i | |||||
− | 588726.i | − | 0.839020i | |||||||
33573.4 | + | 197008.i | 0.0473026 | + | 0.277571i | |||||
606391. | + | 350100.i | 0.844688 | + | 0.487681i | |||||
−317904. | − | 183542.i | −0.437840 | − | 0.252787i | |||||
31586.0 | + | 185346.i | 0.0430142 | + | 0.252407i | |||||
650877.i | 0.876470i | 0.898860 | + | 0.438235i | ||||||
−0.898860 | + | 0.438235i | ||||||||
106382. | + | 79412.4i | 0.141660 | + | 0.105747i | |||||
−699576. | − | 600830.i | −0.921253 | − | 0.791216i | |||||
312243. | + | 540820.i | 0.406651 | + | 0.704339i | |||||
233294. | − | 404077.i | 0.300496 | − | 0.520475i | −0.675752 | − | 0.737129i | ||
0.976248 | + | 0.216654i | ||||||||
380211. | − | 315335.i | 0.484381 | − | 0.401730i | |||||
268050. | − | 154759.i | 0.337775 | − | 0.195015i | −0.321513 | − | 0.946905i | ||
0.659288 | + | 0.751891i | ||||||||
−574680. | −0.716320 | |||||||||
−54352.3 | − | 1.06177e6i | −0.0670175 | − | 1.30918i | |||||
−386642. | −0.471617 | |||||||||
−1.09359e6 | + | 631387.i | −1.31967 | + | 0.761914i | −0.983676 | − | 0.179949i | ||
−0.335998 | + | 0.941863i | ||||||||
711807. | − | 249863.i | 0.849812 | − | 0.298307i | |||||
−161179. | + | 279171.i | −0.190388 | + | 0.329762i | |||||
−51881.7 | − | 89861.8i | −0.0606365 | − | 0.105026i | |||||
218422. | − | 589561.i | 0.252595 | − | 0.681801i | |||||
−28789.1 | + | 243573.i | −0.0329447 | + | 0.278732i | |||||
− | 110206.i | − | 0.124799i | −0.998051 | − | 0.0623997i | ||||
0.998051 | − | 0.0623997i | ||||||||
327249. | − | 55768.5i | 0.366733 | − | 0.0624972i | |||||
−918936. | − | 530548.i | −1.01916 | − | 0.588412i | −0.105300 | − | 0.994441i | ||
−0.913861 | + | 0.406028i | ||||||||
400824. | + | 231416.i | 0.439962 | + | 0.254012i | |||||
−289880. | − | 873646.i | −0.314922 | − | 0.949118i | |||||
− | 712350.i | − | 0.765983i | |||||||
397516. | + | 1.34041e6i | 0.423096 | + | 1.42667i | |||||
−95507.7 | − | 35383.9i | −0.100624 | − | 0.0372793i | |||||
−768541. | − | 1.33115e6i | −0.801539 | − | 1.38831i | |||||
−277308. | + | 480311.i | −0.286308 | + | 0.495899i | |||||
−724488. | − | 873543.i | −0.740514 | − | 0.892865i | |||||
−193057. | + | 111462.i | −0.195360 | + | 0.112791i | |||||
982577. | 0.984424 | 0.492212 | − | 0.870475i | ||||||
0.492212 | + | 0.870475i | ||||||||
−341188. | − | 371018.i | −0.338449 | − | 0.368039i | |||||
−908585. | −0.892410 | |||||||||
−323870. | + | 186986.i | −0.314982 | + | 0.181855i | |||||
391536. | + | 472089.i | 0.377069 | + | 0.454646i | |||||
−32768.0 | + | 56755.8i | −0.0312500 | + | 0.0541266i | |||||
−107232. | − | 185731.i | −0.101272 | − | 0.175409i | 0.810937 | − | 0.585134i | ||
−0.912209 | + | 0.409725i | ||||||||
−70090.9 | − | 25967.4i | −0.0655560 | − | 0.0242873i | |||||
−154369. | − | 359144.i | −0.142992 | − | 0.332674i | |||||
− | 1.03300e6i | − | 0.947691i | |||||||
1.44271e6 | + | 271496.i | 1.31092 | + | 0.246696i | |||||
286494. | + | 165407.i | 0.257847 | + | 0.148868i | |||||
−815650. | − | 470916.i | −0.727134 | − | 0.419811i | 0.0902388 | − | 0.995920i | ||
−0.817373 | + | 0.576109i | ||||||||
517389. | − | 88171.5i | 0.456886 | − | 0.0778607i | |||||
311426.i | 0.272421i | |||||||||
−614352. | + | 822992.i | −0.532369 | + | 0.713168i | |||||
317116. | − | 855954.i | 0.272232 | − | 0.734805i | |||||
194937. | + | 337641.i | 0.165790 | + | 0.287156i | |||||
928208. | − | 1.60770e6i | 0.782104 | − | 1.35464i | −0.148610 | − | 0.988896i | ||
0.930714 | − | 0.365748i | ||||||||
−1.26025e6 | − | 21697.3i | −1.05208 | − | 0.0181133i | |||||
295454. | − | 170581.i | 0.244381 | − | 0.141093i | −0.372808 | − | 0.927909i | ||
0.617189 | + | 0.786815i | ||||||||
−121081. | −0.0992326 | |||||||||
−1.31647e6 | + | 852653.i | −1.06906 | + | 0.692414i | |||||
311041. | 0.250289 | |||||||||
−1.72897e6 | + | 998222.i | −1.37866 | + | 0.795967i | |||||
−331567. | + | 274991.i | −0.261998 | + | 0.217293i | |||||
−297325. | + | 514983.i | −0.232827 | + | 0.403268i | −0.958639 | − | 0.284625i | ||
0.725812 | + | 0.687893i | ||||||||
75692.1 | + | 131102.i | 0.0587406 | + | 0.101742i | |||||
1.37201e6 | − | 1.59750e6i | 1.05523 | − | 1.22866i | |||||
−634108. | + | 272555.i | −0.483357 | + | 0.207759i | |||||
1.03881e6i | 0.784819i | 0.919791 | + | 0.392409i | ||||||
−0.919791 | + | 0.392409i | ||||||||
40592.5 | + | 238196.i | 0.0303964 | + | 0.178366i | |||||
2.18141e6 | + | 1.25944e6i | 1.61909 | + | 0.934782i | 0.987156 | + | 0.159761i | ||
0.631935 | + | 0.775022i | ||||||||
1.15712e6 | + | 668065.i | 0.851302 | + | 0.491499i | |||||
431437. | + | 2.53167e6i | 0.314634 | + | 1.84627i | |||||
− | 1.63320e6i | − | 1.18066i | |||||||
210299. | + | 24856.2i | 0.150707 | + | 0.0178127i | |||||
162123. | − | 188768.i | 0.115177 | − | 0.134106i | |||||
598077. | + | 1.03590e6i | 0.421223 | + | 0.729580i | |||||
1.00510e6 | − | 1.74089e6i | 0.701804 | − | 1.21556i | |||||
12199.7 | − | 10118.1i | 0.00844535 | − | 0.00700430i | |||||
177643. | − | 102562.i | 0.121924 | − | 0.0703931i | |||||
−2.51299e6 | −1.71010 | −0.855049 | − | 0.518547i | ||||||
−0.855049 | + | 0.518547i | ||||||||
870750. | + | 583145.i | 0.587524 | + | 0.393467i | |||||
539481. | 0.360928 | |||||||||
167127. | − | 96491.0i | 0.110871 | − | 0.0640114i | |||||
−1.99249e6 | − | 34304.0i | −1.31070 | − | 0.0225660i | |||||
−62456.8 | + | 108178.i | −0.0407417 | + | 0.0705666i | |||||
670214. | + | 1.16084e6i | 0.433546 | + | 0.750924i | |||||
−328827. | + | 887565.i | −0.210943 | + | 0.569373i | |||||
154334. | + | 18241.4i | 0.0981848 | + | 0.0116049i | |||||
1.42458e6i | 0.898815i | |||||||||
−1.19706e6 | + | 203999.i | −0.749049 | + | 0.127650i | |||||
−439075. | − | 253500.i | −0.272493 | − | 0.157324i | |||||
3.20742e6 | + | 1.85180e6i | 1.97427 | + | 1.13984i | |||||
451800. | + | 85021.9i | 0.275831 | + | 0.0519072i | |||||
791101.i | 0.479055i | 0.970890 | + | 0.239528i | ||||||
−0.970890 | + | 0.239528i | ||||||||
−1.00254e6 | + | 430917.i | −0.602179 | + | 0.258831i | |||||
−464829. | − | 172211.i | −0.276947 | − | 0.102604i | |||||
−1.44176e6 | − | 2.49721e6i | −0.852098 | − | 1.47588i | |||||
83650.7 | − | 144887.i | 0.0490420 | − | 0.0849433i | −0.840462 | − | 0.541870i | ||
0.889504 | + | 0.456927i | ||||||||
−494301. | − | 595998.i | −0.287478 | − | 0.346624i | |||||
1.09825e6 | − | 634075.i | 0.633637 | − | 0.365830i | −0.148523 | − | 0.988909i | ||
0.782159 | + | 0.623079i | ||||||||
1.26786e6 | 0.725684 | |||||||||
2.55748e6 | − | 571743.i | 1.45223 | − | 0.324657i | |||||
−645319. | −0.363544 | |||||||||
2.59960e6 | − | 1.50088e6i | 1.45297 | − | 0.838875i | 0.454326 | − | 0.890836i | ||
0.998649 | + | 0.0519603i | ||||||||
149021. | + | 179680.i | 0.0826378 | + | 0.0996395i | |||||
1.58910e6 | − | 2.75240e6i | 0.874326 | − | 1.51438i | |||||
−170365. | − | 295082.i | −0.0930051 | − | 0.161089i | |||||
−277085. | − | 102655.i | −0.150090 | − | 0.0556056i | |||||
535751. | − | 717699.i | 0.287954 | − | 0.385747i | |||||
− | 936710.i | − | 0.499573i | |||||||
−737494. | + | 590525.i | −0.390298 | + | 0.312518i | |||||
2.55073e6 | + | 1.47267e6i | 1.33954 | + | 0.773386i | |||||
−569443. | − | 328768.i | −0.296761 | − | 0.171335i | |||||
2.26173e6 | − | 385435.i | 1.16969 | − | 0.199334i | |||||
104540.i | 0.0536537i | |||||||||
−198386. | − | 461551.i | −0.101046 | − | 0.235088i | |||||
−947990. | + | 2.55880e6i | −0.479202 | + | 1.29345i | |||||
300997. | + | 521341.i | 0.151005 | + | 0.261549i | 0.931597 | − | 0.363492i | ||
−0.780592 | + | 0.625041i | ||||||||
−582422. | + | 1.00879e6i | −0.289997 | + | 0.502289i | |||||
−691370. | + | 242689.i | −0.341665 | + | 0.119933i | |||||
−2.17627e6 | + | 1.25647e6i | −1.06745 | + | 0.616290i | |||||
−2.02701e6 | −0.986833 | |||||||||
−235434. | + | 460681.i | −0.113768 | + | 0.222614i | |||||
−515158. | −0.247096 | −0.123548 | − | 0.992339i | ||||||
−0.123548 | + | 0.992339i | ||||||||
−800443. | + | 462136.i | −0.381100 | + | 0.220028i | |||||
−1.87326e6 | + | 1.55362e6i | −0.885318 | + | 0.734254i | |||||
314759. | − | 545178.i | 0.147666 | − | 0.255765i | |||||
−2.27946e6 | − | 3.94815e6i | −1.06157 | − | 1.83869i | |||||
1.46035e6 | + | 1.25422e6i | 0.675137 | + | 0.579840i | |||||
−2.04458e6 | − | 753165.i | −0.938358 | − | 0.345665i | |||||
76719.9i | 0.0349552i | |||||||||
−376239. | − | 2.20777e6i | −0.170183 | − | 0.998632i | |||||
−2.11374e6 | − | 1.22037e6i | −0.949207 | − | 0.548025i | |||||
−1.93407e6 | − | 1.11664e6i | −0.862281 | − | 0.497838i | 0.00249446 | − | 0.999997i | ||
−0.864775 | + | 0.502159i | ||||||||
−253132. | − | 1.48537e6i | −0.112047 | − | 0.657488i | |||||
2.51946e6i | 1.10725i | 0.832767 | + | 0.553623i | ||||||
−0.832767 | + | 0.553623i | ||||||||
230992. | − | 1.95433e6i | 0.100792 | − | 0.852764i | |||||
1.42592e6 | + | 2.57099e6i | 0.617772 | + | 1.11386i | |||||
−269352. | − | 466532.i | −0.115868 | − | 0.200690i | |||||
888524. | − | 1.53897e6i | 0.379518 | − | 0.657345i | −0.611474 | − | 0.791264i | ||
0.990992 | + | 0.133920i | ||||||||
311258. | − | 258147.i | 0.132012 | − | 0.109486i | |||||
−6.01604e6 | + | 3.47336e6i | −2.53361 | + | 1.46278i | |||||
−936907. | −0.391806 | |||||||||
−954589. | + | 48865.7i | −0.396411 | + | 0.0202924i | |||||
3.06274e6 | 1.26300 | |||||||||
3.92647e6 | − | 2.26695e6i | 1.60793 | − | 0.928337i | 0.618093 | − | 0.786105i | ||
0.989833 | − | 0.142232i | ||||||||
428495. | + | 1.22069e6i | 0.174257 | + | 0.496420i | |||||
723084. | − | 1.25242e6i | 0.292025 | − | 0.505803i | |||||
−980865. | − | 1.69891e6i | −0.393403 | − | 0.681394i | |||||
−626620. | + | 1.69136e6i | −0.249596 | + | 0.673706i | |||||
1.29008e6 | + | 963024.i | 0.510343 | + | 0.380964i | |||||
1.06647e6i | 0.419003i | |||||||||
2.73666e6 | − | 466371.i | 1.06787 | − | 0.181982i | |||||
−1.18287e6 | − | 682930.i | −0.458428 | − | 0.264674i | 0.252955 | − | 0.967478i | ||
−0.711383 | + | 0.702804i | ||||||||
382900. | + | 221067.i | 0.147389 | + | 0.0850953i | |||||
73407.2 | − | 390080.i | 0.0280655 | − | 0.149138i | |||||
1.00334e6i | 0.381017i | |||||||||
−388929. | − | 290330.i | −0.146702 | − | 0.109511i | |||||
−2.02678e6 | − | 750885.i | −0.759361 | − | 0.281330i | |||||
1.44131e6 | + | 2.49642e6i | 0.536395 | + | 0.929063i | 0.999094 | + | 0.0425480i | ||
−0.462700 | + | 0.886515i | ||||||||
497642. | − | 861942.i | 0.183966 | − | 0.318639i | |||||
−554598. | − | 668700.i | −0.203657 | − | 0.245557i | |||||
214782. | − | 124005.i | 0.0783482 | − | 0.0452343i | |||||
−4.68876e6 | −1.69904 | |||||||||
1.20198e6 | − | 1.55366e6i | 0.432680 | − | 0.559275i | |||||
1.79197e6 | 0.640815 | 0.320408 | − | 0.947280i | ||||||
0.320408 | + | 0.947280i | ||||||||
2.28281e6 | − | 1.31798e6i | 0.810983 | − | 0.468221i | |||||
−930386. | − | 1.12180e6i | −0.328360 | − | 0.395916i | |||||
−681910. | + | 1.18110e6i | −0.239094 | + | 0.414123i | |||||
814355. | + | 1.41050e6i | 0.283672 | + | 0.491335i | 0.972286 | − | 0.233793i | ||
−0.688614 | + | 0.725128i | ||||||||
−239493. | − | 88728.1i | −0.0828830 | − | 0.0307067i | |||||
665937. | − | 5.63423e6i | 0.228971 | − | 1.93724i | |||||
868375.i | 0.296646i | |||||||||
53871.9 | − | 286271.i | 0.0182846 | − | 0.0971628i | |||||
−14088.5 | − | 8133.99i | −0.00475100 | − | 0.00274299i | |||||
4.13271e6 | + | 2.38602e6i | 1.38472 | + | 0.799466i | 0.992714 | − | 0.120498i | ||
0.392003 | + | 0.919964i | ||||||||
3.96850e6 | − | 676297.i | 1.32119 | − | 0.225152i | |||||
816867.i | 0.270215i | |||||||||
250769. | − | 1.04601e6i | 0.0824249 | − | 0.343811i | |||||
−447884. | + | 1.20892e6i | −0.146280 | + | 0.394836i | |||||
−15152.4 | − | 26244.7i | −0.00491745 | − | 0.00851727i | |||||
1.67755e6 | − | 2.90561e6i | 0.540983 | − | 0.937010i | |||||
677462. | + | 1.92994e6i | 0.217094 | + | 0.618453i | |||||
87165.5 | − | 50325.0i | 0.0277567 | − | 0.0160254i | −0.486057 | − | 0.873927i | ||
0.513814 | + | 0.857902i | ||||||||
−2.93152e6 | −0.927653 | |||||||||
−3.56393e6 | − | 1.82136e6i | −1.12072 | − | 0.572750i | |||||
971508. | 0.303596 | |||||||||
−4.80374e6 | + | 2.77344e6i | −1.49183 | + | 0.861307i | −0.999956 | − | 0.00936110i | ||
−0.491871 | + | 0.870668i | ||||||||
−1.16950e6 | + | 969945.i | −0.360940 | + | 0.299352i | |||||
−3.36287e6 | + | 5.82467e6i | −1.03145 | + | 1.78652i | |||||
623190. | + | 1.07940e6i | 0.189962 | + | 0.329024i | |||||
−741721. | − | 4.85574e6i | −0.224700 | − | 1.47102i | |||||
1.23712e6 | + | 2.87820e6i | 0.372475 | + | 0.866575i | |||||
1.58631e6i | 0.474681i | |||||||||
−79270.9 | − | 465161.i | −0.0235756 | − | 0.138342i | |||||
629717. | + | 363567.i | 0.186139 | + | 0.107467i | 0.590174 | − | 0.807276i | ||
−0.404035 | + | 0.914744i | ||||||||
−470703. | − | 271760.i | −0.138289 | − | 0.0798411i | |||||
203637. | + | 1.19494e6i | 0.0594636 | + | 0.348932i | |||||
508791.i | 0.147671i | |||||||||
−502936. | + | 673739.i | −0.145090 | + | 0.194364i | |||||
−1.27351e6 | − | 1.09376e6i | −0.365177 | − | 0.313631i | |||||
−3.02810e6 | − | 5.24482e6i | −0.863077 | − | 1.49489i | |||||
−397373. | + | 688270.i | −0.112581 | + | 0.194996i | |||||
−454105. | + | 376620.i | −0.127884 | + | 0.106063i | |||||
3.60919e6 | − | 2.08377e6i | 1.01034 | − | 0.583322i | |||||
1.32060e6 | 0.367482 | 0.183741 | − | 0.982975i | ||||||
0.183741 | + | 0.982975i | ||||||||
−1.46223e6 | − | 2.25763e6i | −0.404475 | − | 0.624496i | |||||
5.02517e6 | 1.38180 | 0.690901 | − | 0.722950i | ||||||
0.690901 | + | 0.722950i | ||||||||
−1.51796e6 | + | 876392.i | −0.414933 | + | 0.239562i | |||||
−888509. | + | 311890.i | −0.241441 | + | 0.0847522i | |||||
119799. | − | 207498.i | 0.0323622 | − | 0.0560530i | |||||
897455. | + | 1.55444e6i | 0.241013 | + | 0.417447i | |||||
−1.80896e6 | + | 4.88273e6i | −0.482954 | + | 1.30358i | |||||
−5.30280e6 | + | 2.27927e6i | −1.40746 | + | 0.604960i | |||||
303291.i | 0.0800295i | |||||||||
6.27431e6 | − | 1.06924e6i | 1.64597 | − | 0.280500i | |||||
−345438. | − | 199439.i | −0.0900946 | − | 0.0520162i | |||||
1.60910e6 | + | 929013.i | 0.417243 | + | 0.240895i | 0.693897 | − | 0.720074i | ||
−0.276654 | + | 0.960970i | ||||||||
831337. | + | 499248.i | 0.214323 | + | 0.128708i | |||||
− | 5.52697e6i | − | 1.41667i | −0.705878 | − | 0.708333i | ||||
0.705878 | − | 0.708333i | ||||||||
4.46277e6 | + | 527476.i | 1.13731 | + | 0.134425i | |||||
7.34606e6 | + | 2.72159e6i | 1.86137 | + | 0.689603i | |||||
−1.17745e6 | − | 2.03941e6i | −0.296638 | − | 0.513793i | |||||
−1.71023e6 | + | 2.96220e6i | −0.428400 | + | 0.742011i | |||||
510318. | + | 615309.i | 0.127103 | + | 0.153253i | |||||
4.94162e6 | − | 2.85305e6i | 1.22379 | − | 0.706558i | 0.258069 | − | 0.966126i | ||
0.965725 | + | 0.259569i | ||||||||
2.80080e6 | 0.689685 | |||||||||
−1.67021e6 | + | 3.72697e6i | −0.408954 | + | 0.912555i | |||||
−1.46833e6 | −0.357494 | |||||||||
4.44494e6 | − | 2.56629e6i | 1.07611 | − | 0.621293i | 0.146266 | − | 0.989245i | ||
0.929845 | + | 0.367952i | ||||||||
480109. | + | 578886.i | 0.115580 | + | 0.139359i | |||||
2.43556e6 | − | 4.21851e6i | 0.583040 | − | 1.00985i | |||||
1.30175e6 | + | 2.25471e6i | 0.309879 | + | 0.536726i | |||||
−456482. | − | 169118.i | −0.108057 | − | 0.0400334i | |||||
527342. | + | 62329.1i | 0.124136 | + | 0.0146722i | |||||
− | 1.56362e6i | − | 0.366030i | −0.983110 | − | 0.183015i | ||||
0.983110 | − | 0.183015i | ||||||||
−3.62506e6 | − | 682182.i | −0.843887 | − | 0.158807i | |||||
−744193. | − | 429660.i | −0.172284 | − | 0.0994681i | |||||
2.16328e6 | + | 1.24897e6i | 0.498043 | + | 0.287545i | |||||
−5.47286e6 | + | 932664.i | −1.25305 | + | 0.213540i | |||||
− | 1.86635e6i | − | 0.424966i | |||||||
−7.68974e6 | + | 3.30524e6i | −1.74134 | + | 0.748470i | |||||
686420. | − | 1.85277e6i | 0.154589 | − | 0.417263i | |||||
3.15021e6 | + | 5.45633e6i | 0.705585 | + | 1.22211i | 0.966480 | + | 0.256742i | ||
−0.260895 | + | 0.965367i | ||||||||
619036. | − | 1.07220e6i | 0.137896 | − | 0.238843i | |||||
−30841.2 | + | 1.79135e6i | −0.00683281 | + | 0.396871i | |||||
−1.99075e6 | + | 1.14936e6i | −0.438654 | + | 0.253257i | |||||
−162855. | −0.0356901 | −0.0178450 | − | 0.999841i | ||||||
−0.0178450 | + | 0.999841i | ||||||||
−2.31182e6 | − | 3.56938e6i | −0.503906 | − | 0.778014i | |||||
−8.40996e6 | −1.82323 | −0.911615 | − | 0.411044i | ||||||
−0.911615 | + | 0.411044i | ||||||||
−1.33937e6 | + | 773285.i | −0.288805 | + | 0.166742i | |||||
8.64967e6 | − | 7.17376e6i | 1.85510 | − | 1.53856i | |||||
−2.52555e6 | + | 4.37438e6i | −0.538754 | + | 0.933150i | |||||
3.23078e6 | + | 5.59588e6i | 0.685513 | + | 1.18734i | 0.973275 | + | 0.229641i | ||
−0.287762 | + | 0.957702i | ||||||||
1.96605e6 | − | 2.28917e6i | 0.414934 | − | 0.483129i | |||||
1.88970e6 | − | 2.53146e6i | 0.396698 | − | 0.531422i | |||||
1.28943e6i | 0.269249i | |||||||||
830060. | + | 4.87078e6i | 0.172408 | + | 1.01169i | |||||
−359447. | − | 207527.i | −0.0742643 | − | 0.0428765i | |||||
−546147. | − | 315318.i | −0.112242 | − | 0.0648031i | |||||
−422486. | − | 2.47914e6i | −0.0863707 | − | 0.506822i | |||||
7.51579e6i | 1.52841i | |||||||||
387418. | + | 901340.i | 0.0783722 | + | 0.182335i | |||||
−592718. | + | 690132.i | −0.119276 | + | 0.138879i | |||||
−220413. | − | 381766.i | −0.0441232 | − | 0.0764237i | |||||
−2.65810e6 | + | 4.60397e6i | −0.529338 | + | 0.916841i | 0.470076 | + | 0.882626i | ||
−0.999414 | + | 0.0342149i | ||||||||
1.02209e6 | − | 847685.i | 0.202481 | − | 0.167931i | |||||
2.02673e6 | − | 1.17013e6i | 0.399423 | − | 0.230607i | |||||
−4.24438e6 | −0.832141 | |||||||||
3.10796e6 | + | 1.58834e6i | 0.606188 | + | 0.309796i | |||||
1.85133e6 | 0.359227 | |||||||||
73248.0 | − | 42289.8i | 0.0141397 | − | 0.00816359i | |||||
−2.75147e6 | − | 2.44664e6i | −0.528413 | − | 0.469872i | |||||
3.81386e6 | − | 6.60581e6i | 0.728690 | − | 1.26213i | −0.228747 | − | 0.973486i | ||
0.957437 | − | 0.288642i | ||||||||
−1.42470e6 | − | 2.46765e6i | −0.270816 | − | 0.469067i | |||||
890228. | − | 2.40289e6i | 0.168356 | − | 0.454424i | |||||
4.05785e6 | + | 3.84828e6i | 0.763495 | + | 0.724063i | |||||
− | 2.32379e6i | − | 0.435003i | −0.976060 | − | 0.217502i | ||||
0.976060 | − | 0.217502i | ||||||||
−401616. | + | 68441.9i | −0.0747994 | + | 0.0127470i | |||||
−2.47455e6 | − | 1.42868e6i | −0.458542 | − | 0.264739i | |||||
−5.32461e6 | − | 3.07416e6i | −0.981681 | − | 0.566774i | |||||
−1.04509e7 | − | 1.96669e6i | −1.91707 | − | 0.360764i | |||||
2.21846e6i | 0.404900i | |||||||||
1.27075e6 | − | 1.07513e7i | 0.230764 | − | 1.95241i | |||||
−4.25679e6 | − | 1.57706e6i | −0.769146 | − | 0.284955i | |||||
2.49887e6 | + | 4.32818e6i | 0.449255 | + | 0.778133i | 0.998338 | − | 0.0576355i | ||
−0.549083 | + | 0.835768i | ||||||||
−445846. | + | 772228.i | −0.0797554 | + | 0.138140i | |||||
−6.25179e6 | − | 7.53802e6i | −1.11278 | − | 1.34172i | |||||
3.40375e6 | − | 1.96515e6i | 0.602834 | − | 0.348046i | |||||
3.01055e6 | 0.530549 | 0.265275 | − | 0.964173i | ||||||
0.265275 | + | 0.964173i | ||||||||
−1.92395e6 | − | 602868.i | −0.337378 | − | 0.105717i | |||||
−6.48010e6 | −1.13072 | |||||||||
−3.14743e6 | + | 1.81717e6i | −0.546487 | + | 0.315515i | |||||
−2.29945e6 | − | 2.77253e6i | −0.397286 | − | 0.479023i | |||||
−747945. | + | 1.29548e6i | −0.128591 | + | 0.222726i | |||||
449651. | + | 778819.i | 0.0769274 | + | 0.133242i | 0.901923 | − | 0.431897i | ||
−0.824995 | + | 0.565139i | ||||||||
2.30050e6 | + | 852294.i | 0.391648 | + | 0.145099i | |||||
−1.33188e6 | − | 994228.i | −0.225638 | − | 0.168435i | |||||
262144.i | 0.0441942i | |||||||||
−3.86229e6 | + | 6.43140e6i | −0.647965 | + | 1.07898i | |||||
−742923. | − | 428927.i | −0.124033 | − | 0.0716103i | |||||
−2.29088e6 | − | 1.32264e6i | −0.380613 | − | 0.219747i | |||||
−294737. | + | 50227.9i | −0.0487316 | + | 0.00830465i | |||||
2.03863e6i | 0.335438i | |||||||||
−1.25304e6 | − | 935374.i | −0.205182 | − | 0.153165i | |||||
3.30447e6 | − | 8.91937e6i | 0.538497 | − | 1.45350i | |||||
−2.06600e6 | − | 3.57841e6i | −0.335059 | − | 0.580340i | |||||
359362. | − | 622433.i | 0.0580013 | − | 0.100461i | −0.835567 | − | 0.549389i | ||
0.893568 | + | 0.448928i | ||||||||
5.54068e6 | − | 1.94493e6i | 0.889994 | − | 0.312412i | |||||
5.01382e6 | − | 2.89473e6i | 0.801520 | − | 0.462758i | −0.0424821 | − | 0.999097i | ||
0.844003 | + | 0.536339i | ||||||||
1.32326e6 | 0.210531 | |||||||||
7.65925e6 | − | 392079.i | 1.21280 | − | 0.0620834i | |||||
−3.76733e6 | −0.593702 | |||||||||
−3.54960e6 | + | 2.04936e6i | −0.556740 | + | 0.321434i | |||||
1.61595e6 | − | 1.34021e6i | 0.252256 | − | 0.209213i | |||||
−1.72675e6 | + | 2.99082e6i | −0.268282 | + | 0.464677i | |||||
622852. | + | 1.07881e6i | 0.0963152 | + | 0.166823i | |||||
1.19551e6 | + | 1.02676e6i | 0.184000 | + | 0.158028i | |||||
−482191. | + | 4.07963e6i | −0.0738653 | + | 0.624945i | |||||
1.26775e6i | 0.193292i | |||||||||
−613386. | − | 3.59934e6i | −0.0930852 | − | 0.546223i | |||||
−1.36559e6 | − | 788426.i | −0.206270 | − | 0.119090i | |||||
1.35056e6 | + | 779748.i | 0.203050 | + | 0.117231i | |||||
2.00515e6 | + | 1.17662e7i | 0.300063 | + | 1.76076i | |||||
− | 7.42566e6i | − | 1.10606i | |||||||
6.41558e6 | + | 6.08424e6i | 0.951182 | + | 0.902057i | |||||
−4.40903e6 | + | 2.44534e6i | −0.650666 | + | 0.360873i | |||||
−3.26861e6 | − | 5.66140e6i | −0.480143 | − | 0.831632i | 0.519598 | − | 0.854411i | ||
−0.999741 | + | 0.0227794i | ||||||||
682323. | − | 1.18182e6i | 0.0997681 | − | 0.172803i | |||||
5.88458e6 | − | 4.88048e6i | 0.856477 | − | 0.710335i | |||||
−419437. | + | 242162.i | −0.0607673 | + | 0.0350840i | |||||
1.22435e7 | 1.76569 | |||||||||
−2.85507e6 | + | 5.58661e6i | −0.409860 | + | 0.801986i | |||||
3.31420e6 | 0.473598 | 0.236799 | − | 0.971559i | ||||||
0.236799 | + | 0.971559i | ||||||||
1.07748e6 | − | 622083.i | 0.153270 | − | 0.0884905i | |||||
3.58334e6 | + | 1.02082e7i | 0.507408 | + | 1.44550i | |||||
−3.99289e6 | + | 6.91588e6i | −0.562834 | + | 0.974857i | |||||
−5.98230e6 | − | 1.03616e7i | −0.839439 | − | 1.45395i | |||||
−598599. | + | 1.61573e6i | −0.0836158 | + | 0.225694i | |||||
2.06480e6 | + | 4.80382e6i | 0.287121 | + | 0.667996i | |||||
2.37860e6i | 0.329267i | |||||||||
−3.85456e6 | + | 656880.i | −0.531181 | + | 0.0905218i | |||||
524410. | + | 302768.i | 0.0719422 | + | 0.0415359i | |||||
−6.74821e6 | − | 3.89608e6i | −0.921618 | − | 0.532096i | −0.0374668 | − | 0.999298i | ||
−0.884151 | + | 0.467202i | ||||||||
1.55778e6 | − | 8.27792e6i | 0.211798 | − | 1.12548i | |||||
930371.i | 0.125929i | |||||||||
−1.65151e6 | + | 2.21238e6i | −0.222541 | + | 0.298118i | |||||
3.63715e6 | + | 1.34750e6i | 0.487926 | + | 0.180768i | |||||
2.07762e6 | + | 3.59854e6i | 0.277475 | + | 0.480601i | |||||
−3.38663e6 | + | 5.86582e6i | −0.450295 | + | 0.779933i | −0.998404 | − | 0.0564733i | ||
0.548109 | + | 0.836407i | ||||||||
617009. | + | 743950.i | 0.0816758 | + | 0.0984796i | |||||
−1.12472e7 | + | 6.49358e6i | −1.48226 | + | 0.855781i | |||||
1.00755e7 | 1.32198 | |||||||||
6.75565e6 | + | 3.60050e6i | 0.882489 | + | 0.470333i | |||||
5.34452e6 | 0.695085 | |||||||||
−230925. | + | 133325.i | −0.0299013 | + | 0.0172635i | −0.514876 | − | 0.857265i | ||
0.484975 | + | 0.874528i | ||||||||
6.55788e6 | + | 7.90708e6i | 0.845427 | + | 1.01936i | |||||
6.04858e6 | − | 1.04764e7i | 0.776359 | − | 1.34469i | −0.157668 | − | 0.987492i | ||
0.934027 | − | 0.357202i | ||||||||
−3.26640e6 | − | 5.65757e6i | −0.417426 | − | 0.723002i | |||||
−4.98392e6 | − | 1.84645e6i | −0.634138 | − | 0.234937i | |||||
778209. | − | 334493.i | 0.0985863 | − | 0.0423748i | |||||
− | 6.55422e6i | − | 0.826707i | |||||||
184075. | − | 978159.i | 0.0231173 | − | 0.122844i | |||||
1.21462e7 | + | 7.01259e6i | 1.51880 | + | 0.876877i | 0.999755 | + | 0.0221276i | ||
0.519041 | + | 0.854750i | ||||||||
4.14360e6 | + | 2.39231e6i | 0.515891 | + | 0.297850i | |||||
−3.33606e6 | + | 568519.i | −0.413559 | + | 0.0704771i | |||||
− | 8.04083e6i | − | 0.992501i | |||||||
9.37304e6 | + | 1.10785e6i | 1.15197 | + | 0.136157i | |||||
22025.0 | − | 59449.4i | 0.00269530 | − | 0.00727512i | |||||
984745. | + | 1.70563e6i | 0.119992 | + | 0.207832i | |||||
410249. | − | 710572.i | 0.0497755 | − | 0.0862136i | |||||
5.19630e6 | + | 1.48031e7i | 0.627776 | + | 1.78840i | |||||
−8.70524e6 | + | 5.02597e6i | −1.04722 | + | 0.604611i | |||||
−689161. | −0.0825516 | −0.0412758 | − | 0.999148i | ||||||
−0.0412758 | + | 0.999148i | ||||||||
4.18266e6 | + | 278571.i | 0.498895 | + | 0.0332272i | |||||
−1.71625e7 | −2.03841 | |||||||||
1.86882e6 | − | 1.07896e6i | 0.221023 | − | 0.127607i | |||||
90904.7 | − | 75393.4i | 0.0107058 | − | 0.00887902i | |||||
385964. | − | 668509.i | 0.0452629 | − | 0.0783977i | |||||
5.54269e6 | + | 9.60022e6i | 0.647267 | + | 1.12110i | 0.983773 | + | 0.179418i | ||
−0.336505 | + | 0.941682i | ||||||||
−6.97079e6 | + | 3.86614e6i | −0.810617 | + | 0.449585i | |||||
−5.06548e6 | − | 598713.i | −0.586581 | − | 0.0693309i | |||||
499654.i | 0.0576174i | |||||||||
−1.91925e6 | − | 1.12621e7i | −0.220392 | − | 1.29326i | |||||
4.64338e6 | + | 2.68086e6i | 0.530983 | + | 0.306563i | |||||
−1.11153e7 | − | 6.41740e6i | −1.26576 | − | 0.730789i | −0.291580 | − | 0.956546i | ||
−0.974184 | + | 0.225757i | ||||||||
636039. | + | 3.73227e6i | 0.0721283 | + | 0.423248i | |||||
− | 1.35097e7i | − | 1.52566i | −0.646597 | − | 0.762832i | ||||
0.646597 | − | 0.762832i | ||||||||
571110. | − | 245477.i | 0.0642286 | − | 0.0276070i | |||||
−4.49193e6 | − | 3.85788e6i | −0.503083 | − | 0.432072i | |||||
2.84917e6 | + | 4.93490e6i | 0.317779 | + | 0.550410i | |||||
−4.81265e6 | + | 8.33576e6i | −0.534559 | + | 0.925884i | |||||
−3.73875e6 | + | 3.10080e6i | −0.413566 | + | 0.342998i | |||||
8.39395e6 | − | 4.84625e6i | 0.924686 | − | 0.533868i | 0.0395592 | − | 0.999217i | ||
0.885127 | + | 0.465349i | ||||||||
−2.02800e6 | −0.222490 | |||||||||
−1.02473e7 | + | 6.63702e6i | −1.11961 | + | 0.725154i | |||||
1.48144e7 | 1.61198 | |||||||||
2.60464e6 | − | 1.50379e6i | 0.282257 | − | 0.162961i | |||||
1.73512e6 | − | 609075.i | 0.187263 | − | 0.0657343i | |||||
−3.85451e6 | + | 6.67621e6i | −0.414303 | + | 0.717594i | −0.995355 | − | 0.0962726i | ||
0.581052 | + | 0.813866i | ||||||||
1.58220e6 | + | 2.74045e6i | 0.169372 | + | 0.293360i | |||||
735864. | − | 1.98623e6i | 0.0784530 | − | 0.211759i | |||||
−2.61107e6 | + | 3.49783e6i | −0.277247 | + | 0.371404i | |||||
− | 9.52706e6i | − | 1.00750i | −0.863849 | − | 0.503751i | ||||
0.863849 | − | 0.503751i | ||||||||
−1.95464e6 | + | 333102.i | −0.205871 | + | 0.0350837i | |||||
−7.10455e6 | − | 4.10181e6i | −0.745263 | − | 0.430278i | 0.0787166 | − | 0.996897i | ||
−0.823980 | + | 0.566619i | ||||||||
−9.98882e6 | − | 5.76705e6i | −1.04360 | − | 0.602524i | |||||
3.36815e6 | − | 5.60857e6i | 0.350479 | − | 0.583610i | |||||
− | 669205.i | − | 0.0693559i | |||||||
2.99778e6 | + | 6.97443e6i | 0.309442 | + | 0.719927i | |||||
−2.90430e6 | − | 1.07599e6i | −0.298594 | − | 0.110624i | |||||
3.61160e6 | + | 6.25547e6i | 0.369827 | + | 0.640560i | |||||
2.53630e6 | − | 4.39300e6i | 0.258681 | − | 0.448049i | |||||
1.03682e7 | + | 1.25013e7i | 1.05326 | + | 1.26995i | |||||
4.39200e6 | − | 2.53572e6i | 0.444389 | − | 0.256568i | |||||
1.42618e6 | 0.143730 | |||||||||
7.71590e6 | − | 7.09554e6i | 0.774524 | − | 0.712253i | |||||
8.59744e6 | 0.859599 | 0.429799 | − | 0.902924i | ||||||
0.429799 | + | 0.902924i | ||||||||
−2.23545e6 | + | 1.29064e6i | −0.222624 | + | 0.128532i | |||||
−4.36065e6 | − | 5.25780e6i | −0.432556 | − | 0.521549i | |||||
6.00351e6 | − | 1.03984e7i | 0.593174 | − | 1.02741i | |||||
−3.88867e6 | − | 6.73538e6i | −0.382708 | − | 0.662869i | |||||
875582. | + | 324388.i | 0.0858329 | + | 0.0317996i | |||||
3.04104e6 | − | 1.26848e7i | 0.296943 | − | 1.23861i | |||||
− | 1.27128e7i | − | 1.23648i | |||||||
−1.99424e7 | − | 3.75287e6i | −1.93208 | − | 0.363589i | |||||
−1.18033e6 | − | 681462.i | −0.113907 | − | 0.0657645i | |||||
−1.42405e7 | − | 8.22176e6i | −1.36893 | − | 0.790350i | −0.378136 | − | 0.925750i | ||
−0.990791 | + | 0.135400i | ||||||||
−1.16516e6 | + | 198562.i | −0.111570 | + | 0.0190134i | |||||
5.31877e6i | 0.507322i | 0.967293 | + | 0.253661i | ||||||
−0.967293 | + | 0.253661i | ||||||||
420500. | − | 3.55768e6i | 0.0399532 | − | 0.338028i | |||||
540034. | − | 1.45765e6i | 0.0511118 | − | 0.137960i | |||||
−1.87342e6 | − | 3.24486e6i | −0.176626 | − | 0.305925i | |||||
1.32944e6 | − | 2.30266e6i | 0.124856 | − | 0.216257i | −0.796821 | − | 0.604216i | ||
0.921677 | + | 0.387959i | ||||||||
−1.37371e6 | + | 3.52063e6i | −0.128516 | + | 0.329369i | |||||
2.95465e6 | − | 1.70587e6i | 0.275356 | − | 0.158977i | |||||
1.17813e7 | 1.09373 | |||||||||
895322. | + | 1.74901e7i | 0.0827994 | + | 1.61748i | |||||
−2.63014e6 | −0.242304 | |||||||||
1.02822e6 | − | 593641.i | 0.0943630 | − | 0.0544805i | −0.452076 | − | 0.891979i | ||
0.546439 | + | 0.837499i | ||||||||
7.06398e6 | − | 5.85864e6i | 0.645811 | − | 0.535615i | |||||
−3.43990e6 | + | 5.95808e6i | −0.313287 | + | 0.542629i | |||||
209081. | + | 362139.i | 0.0189695 | + | 0.0328561i | |||||
−2.02975e6 | + | 2.36334e6i | −0.183455 | + | 0.213606i | |||||
−1.61033e6 | − | 1.20209e6i | −0.144994 | − | 0.108236i | |||||
373152.i | 0.0334713i | 0.999860 | + | 0.0167356i | ||||||
−0.999860 | + | 0.0167356i | ||||||||
1.83366e6 | + | 1.07599e7i | 0.163855 | + | 0.961500i | |||||
−5.30523e6 | − | 3.06297e6i | −0.472281 | − | 0.272671i | 0.244913 | − | 0.969545i | ||
−0.717194 | + | 0.696874i | ||||||||
2.08537e6 | + | 1.20399e6i | 0.184943 | + | 0.106777i | |||||
−961308. | − | 5.64094e6i | −0.0849334 | − | 0.498388i | |||||
4.65938e6i | 0.410117i | |||||||||
−1.71154e7 | − | 1.27764e7i | −1.50084 | − | 1.12035i | |||||
−1.90960e6 | + | 2.22344e6i | −0.166823 | + | 0.194241i | |||||
5.21692e6 | + | 9.03597e6i | 0.454046 | + | 0.786431i | |||||
−5.02587e6 | + | 8.70506e6i | −0.435783 | + | 0.754798i | |||||
−7.80972e6 | + | 6.47713e6i | −0.674637 | + | 0.559522i | |||||
−7.02176e6 | + | 4.05402e6i | −0.604309 | + | 0.348898i | |||||
2.34220e7 | 2.00825 | |||||||||
105796. | + | 2.06671e6i | 0.00903741 | + | 0.176546i | |||||
−2.06386e7 | −1.75647 | −0.878237 | − | 0.478226i | ||||||
−0.878237 | + | 0.478226i | ||||||||
−1.78456e6 | + | 1.03032e6i | −0.151315 | + | 0.0873616i | |||||
247457. | − | 1.43731e7i | 0.0209046 | − | 1.21420i | |||||
−1.84854e6 | + | 3.20177e6i | −0.155583 | + | 0.269478i | |||||
−3.56149e6 | − | 6.16868e6i | −0.298648 | − | 0.517274i | 0.677179 | − | 0.735819i | ||
−0.975827 | + | 0.218545i | ||||||||
−3.38192e6 | + | 9.12843e6i | −0.282546 | + | 0.762644i | |||||
−15471.9 | + | 130902.i | −0.00128786 | + | 0.0108961i | |||||
− | 2.51807e6i | − | 0.208831i | |||||||
7.17002e6 | − | 1.22189e6i | 0.592452 | − | 0.100963i | |||||
−1.57926e7 | − | 9.11786e6i | −1.30015 | − | 0.750640i | |||||
639959. | + | 369480.i | 0.0524929 | + | 0.0303068i | 0.526017 | − | 0.850474i | ||
−0.473524 | + | 0.880781i | ||||||||
7.56725e6 | + | 1.42404e6i | 0.618440 | + | 0.116381i | |||||
6.46859e6i | 0.526724i | |||||||||
−8.58896e6 | + | 1.48012e6i | −0.696836 | + | 0.120084i | |||||
4.52438e6 | + | 1.67620e6i | 0.365736 | + | 0.135499i | |||||
153440. | + | 265765.i | 0.0123585 | + | 0.0214056i | |||||
1.45279e6 | − | 2.51630e6i | 0.116588 | − | 0.201936i | |||||
−5.71886e6 | − | 6.89545e6i | −0.457285 | − | 0.551366i | |||||
7.52113e6 | − | 4.34233e6i | 0.599223 | − | 0.345961i | −0.169513 | − | 0.985528i | ||
0.768736 | + | 0.639567i | ||||||||
−9.76294e6 | −0.775024 | |||||||||
1.21990e7 | − | 1.12182e7i | 0.964923 | − | 0.887343i | |||||
−8.93309e6 | −0.704050 | |||||||||
−2.72648e6 | + | 1.57413e6i | −0.214112 | + | 0.123617i | |||||
−3.84762e6 | − | 4.63923e6i | −0.301071 | − | 0.363013i | |||||
−386288. | + | 669070.i | −0.0301182 | + | 0.0521663i | |||||
5.03892e6 | + | 8.72767e6i | 0.391471 | + | 0.678047i | |||||
−1.84586e7 | − | 6.83860e6i | −1.42892 | − | 0.529388i | |||||
−3.10849e6 | − | 7.23200e6i | −0.239775 | − | 0.557844i | |||||
2.53605e7i | 1.94923i | 0.223887 | + | 0.974615i | ||||||
−0.223887 | + | 0.974615i | ||||||||
1.00815e7 | + | 6.05431e6i | 0.772117 | + | 0.463684i | |||||
5.17173e6 | + | 2.98590e6i | 0.394682 | + | 0.227870i | |||||
−1.86613e6 | − | 1.07741e6i | −0.141909 | − | 0.0819312i | |||||
−4.95366e6 | + | 844184.i | −0.375365 | + | 0.0639682i | |||||
− | 7.10819e6i | − | 0.536720i | |||||||
6.04114e6 | − | 8.09278e6i | 0.454538 | − | 0.608904i | |||||
561935. | − | 1.51676e6i | 0.0421311 | − | 0.113720i | |||||
9.54640e6 | + | 1.65348e7i | 0.713221 | + | 1.23533i | 0.963642 | + | 0.267197i | ||
−0.250421 | + | 0.968137i | ||||||||
−1.38935e7 | + | 2.40642e7i | −1.03434 | + | 1.79153i | |||||
9.24759e6 | − | 3.24615e6i | 0.686048 | − | 0.240821i | |||||
−3.24554e6 | + | 1.87381e6i | −0.239931 | + | 0.138524i | |||||
1.49667e7 | 1.10256 | |||||||||
−3.20906e6 | + | 2.07845e6i | −0.235577 | + | 0.152579i | |||||
3.39649e7 | 2.48465 | |||||||||
1.06096e7 | − | 6.12548e6i | 0.773425 | − | 0.446537i | |||||
1.32234e6 | − | 1.09671e6i | 0.0960606 | − | 0.0796695i | |||||
9.06780e6 | − | 1.57059e7i | 0.656433 | − | 1.13698i | |||||
7.75609e6 | + | 1.34339e7i | 0.559526 | + | 0.969128i | 0.997536 | + | 0.0701578i | ||
−0.438009 | + | 0.898970i | ||||||||
3.92573e6 | + | 3.37160e6i | 0.282221 | + | 0.242385i | |||||
3.78749e6 | − | 1.62795e6i | 0.271340 | − | 0.116628i | |||||
− | 5.78467e6i | − | 0.412986i | |||||||
−2.77877e6 | − | 1.63058e7i | −0.197700 | − | 1.16010i | |||||
−6.79563e6 | − | 3.92346e6i | −0.481819 | − | 0.278178i | |||||
1.98548e7 | + | 1.14632e7i | 1.40288 | + | 0.809955i | |||||
1.21205e6 | + | 7.11229e6i | 0.0853451 | + | 0.500804i | |||||
2.14536e7i | 1.50544i | 0.658338 | + | 0.752722i | ||||||
−0.658338 | + | 0.752722i | ||||||||
6.39501e6 | + | 755856.i | 0.447211 | + | 0.0528580i | |||||
7.59796e6 | − | 1.21722e7i | 0.529515 | − | 0.848301i | |||||
2.13294e6 | + | 3.69436e6i | 0.148140 | + | 0.256586i | |||||
−283488. | + | 491015.i | −0.0196219 | + | 0.0339861i | |||||
8.54732e6 | − | 7.08887e6i | 0.589593 | − | 0.488989i | |||||
179972. | − | 103907.i | 0.0123721 | − | 0.00714306i | −0.493801 | − | 0.869575i | ||
0.506173 | + | 0.862432i | ||||||||
−5.46344e6 | −0.374305 | |||||||||
−1.21274e7 | + | 1.81086e7i | −0.828036 | + | 1.23642i | |||||
1.76854e6 | 0.120343 | |||||||||
−1.11016e7 | + | 6.40951e6i | −0.752864 | + | 0.434666i | |||||
−525870. | − | 1.49809e6i | −0.0355416 | − | 0.101251i | |||||
5.29314e6 | − | 9.16799e6i | 0.356535 | − | 0.617537i | −0.630844 | − | 0.775909i | ||
0.987379 | + | 0.158372i | ||||||||
2.00668e6 | + | 3.47567e6i | 0.134710 | + | 0.233324i | |||||
8.32412e6 | − | 2.24683e7i | 0.556920 | − | 1.50323i | |||||
−1.92795e6 | − | 227874.i | −0.128554 | − | 0.0151944i | |||||
8.74779e6i | 0.581335i | 0.956824 | + | 0.290667i | ||||||
−0.956824 | + | 0.290667i | ||||||||
−8.52273e6 | + | 1.45241e6i | −0.564477 | + | 0.0961960i | |||||
−2.24974e6 | − | 1.29889e6i | −0.148505 | − | 0.0857394i | |||||
9.98567e6 | + | 5.76523e6i | 0.656947 | + | 0.379288i | |||||
3.27177e6 | − | 1.73859e7i | 0.214526 | − | 1.13998i | |||||
− | 3.98114e6i | − | 0.260168i | |||||||
2.25773e6 | − | 970426.i | 0.147051 | − | 0.0632059i | |||||
−3.25858e6 | − | 1.20725e6i | −0.211532 | − | 0.0783688i | |||||
−7.94497e6 | − | 1.37611e7i | −0.514035 | − | 0.890334i | −0.999867 | − | 0.0162823i | ||
0.485833 | − | 0.874052i | ||||||||
496019. | − | 859129.i | 0.0319855 | − | 0.0554005i | |||||
9.77800e6 | + | 1.17897e7i | 0.628438 | + | 0.757731i | |||||
−1.62423e7 | + | 9.37752e6i | −1.04045 | + | 0.600703i | |||||
−2.96264e7 | −1.89152 | |||||||||
1.05646e6 | − | 7.78597e6i | 0.0672277 | − | 0.495460i | |||||
−1.26269e7 | −0.800860 | −0.400430 | − | 0.916327i | ||||||
−0.400430 | + | 0.916327i | ||||||||
6.20757e6 | − | 3.58394e6i | 0.392418 | − | 0.226562i | |||||
−9.04168e6 | − | 1.09019e7i | −0.569698 | − | 0.686906i | |||||
5.27194e6 | − | 9.13126e6i | 0.331082 | − | 0.573452i | |||||
7.44430e6 | + | 1.28939e7i | 0.465974 | + | 0.807091i | 0.999245 | − | 0.0388535i | ||
−0.533271 | + | 0.845945i | ||||||||
−5.46655e6 | − | 2.02526e6i | −0.341056 | − | 0.126355i | |||||
−1.14141e7 | + | 1.52905e7i | −0.709791 | + | 0.950845i | |||||
5.45528e6i | 0.338130i | |||||||||
−1.76816e6 | + | 9.39588e6i | −0.109237 | + | 0.580475i | |||||
5.64202e6 | + | 3.25742e6i | 0.347426 | + | 0.200587i | |||||
−4.35897e6 | − | 2.51665e6i | −0.267544 | − | 0.154467i | |||||
−1.00709e6 | + | 171624.i | −0.0616117 | + | 0.0104996i | |||||
6.82644e6i | 0.416273i | 0.978100 | + | 0.208137i | ||||||
−0.978100 | + | 0.208137i | ||||||||
−8.96159e6 | − | 2.08494e7i | −0.544701 | − | 1.26726i | |||||
1.16143e6 | − | 3.13493e6i | 0.0703653 | − | 0.189929i | |||||
1.73675e6 | + | 3.00814e6i | 0.104880 | + | 0.181658i | |||||
−3.58514e6 | + | 6.20964e6i | −0.215803 | + | 0.373781i | −0.953521 | − | 0.301328i | ||
0.737718 | + | 0.675109i | ||||||||
−385924. | − | 1.09942e6i | −0.0231553 | − | 0.0659644i | |||||
2.84806e7 | − | 1.64433e7i | 1.70331 | − | 0.983409i | |||||
−65071.9 | −0.00387918 | |||||||||
2.77310e6 | − | 5.42621e6i | 0.164783 | − | 0.322437i | |||||
1.90882e7 | 1.13062 | |||||||||
−2.80158e6 | + | 1.61750e6i | −0.165409 | + | 0.0954991i | |||||
1.23947e7 | − | 1.02798e7i | 0.729457 | − | 0.604988i | |||||
−2.19659e7 | + | 3.80461e7i | −1.28861 | + | 2.23194i | |||||
1.63373e6 | + | 2.82971e6i | 0.0955355 | + | 0.165472i | |||||
1.10993e7 | + | 2.00125e7i | 0.646982 | + | 1.16653i | |||||
−1.22333e6 | − | 4.12502e6i | −0.0710809 | − | 0.239682i | |||||
2.63672e7i | 1.52718i | |||||||||
866327. | + | 5.08360e6i | 0.0500179 | + | 0.293504i | |||||
1.03687e7 | + | 5.98637e6i | 0.596743 | + | 0.344530i | 0.767759 | − | 0.640738i | ||
−0.171016 | + | 0.985268i | ||||||||
−104979. | − | 60609.5i | −0.00602262 | − | 0.00347716i | |||||
−2.46644e6 | − | 1.44730e7i | −0.141052 | − | 0.827689i | |||||
− | 1.34204e7i | − | 0.765065i | |||||||
2.37571e6 | − | 2.01000e7i | 0.135006 | − | 1.14223i | |||||
6.20668e6 | + | 5.33060e6i | 0.351598 | + | 0.301969i | |||||
−1.72772e7 | − | 2.99249e7i | −0.975639 | − | 1.68986i | |||||
201300. | − | 348662.i | 0.0113316 | − | 0.0196270i | |||||
−3.73672e6 | + | 3.09912e6i | −0.209688 | + | 0.173908i | |||||
−1.01551e7 | + | 5.86305e6i | −0.568069 | + | 0.327975i | |||||
−2.26127e7 | −1.26097 | −0.630487 | − | 0.776200i | ||||||
−0.630487 | + | 0.776200i | ||||||||
−1.59885e7 | + | 818457.i | −0.888794 | + | 0.0454976i | |||||
1.83284e6 | 0.101568 | |||||||||
3.36540e6 | − | 1.94302e6i | 0.185914 | − | 0.107337i | |||||
1.34261e7 | − | 4.71293e6i | 0.739382 | − | 0.259543i | |||||
−1.10938e7 | + | 1.92150e7i | −0.609036 | + | 1.05488i | |||||
3.37224e6 | + | 5.84089e6i | 0.184557 | + | 0.319661i | |||||
−2.11138e6 | + | 5.69899e6i | −0.115193 | + | 0.310926i | |||||
1.49257e7 | + | 1.11418e7i | 0.811791 | + | 0.605990i | |||||
2.69030e7i | 1.45869i | |||||||||
2.85274e7 | − | 4.86153e6i | 1.54198 | − | 0.262778i | |||||
4.31758e6 | + | 2.49276e6i | 0.232655 | + | 0.134323i | |||||
−2.77615e6 | − | 1.60281e6i | −0.149132 | − | 0.0861015i | 0.423577 | − | 0.905860i | ||
−0.572709 | + | 0.819759i | ||||||||
−1.22809e7 | − | 1.53373e7i | −0.657684 | − | 0.821368i | |||||
− | 1.69321e7i | − | 0.903979i | −0.892023 | − | 0.451989i | ||||
0.892023 | − | 0.451989i | ||||||||
1.00419e7 | + | 7.49614e6i | 0.534474 | + | 0.398977i | |||||
4.98693e6 | + | 1.84757e6i | 0.264611 | + | 0.0980335i | |||||
3.17262e6 | + | 5.49513e6i | 0.167825 | + | 0.290681i | |||||
6.83725e6 | − | 1.18425e7i | 0.360568 | − | 0.624522i | |||||
−1.20492e6 | − | 1.45282e6i | −0.0633482 | − | 0.0763813i | |||||
−2.05602e6 | + | 1.18704e6i | −0.107764 | + | 0.0622173i | |||||
2.90854e6 | 0.151982 | |||||||||
−2.33314e7 | − | 7.31089e6i | −1.21544 | − | 0.380856i | |||||
−2.17408e6 | −0.112912 | |||||||||
1.95734e7 | − | 1.13007e7i | 1.01346 | − | 0.585123i | 0.101259 | − | 0.994860i | ||
0.912204 | + | 0.409737i | ||||||||
3.09529e6 | + | 3.73211e6i | 0.159780 | + | 0.192653i | |||||
−8.63253e6 | + | 1.49520e7i | −0.444261 | + | 0.769483i | −0.998000 | − | 0.0632072i | ||
0.553739 | + | 0.832690i | ||||||||
1.01758e6 | + | 1.76250e6i | 0.0522097 | + | 0.0904299i | |||||
−2.91831e7 | − | 1.08118e7i | −1.49278 | − | 0.553049i | |||||
−394744. | + | 3.33977e6i | −0.0201310 | + | 0.170320i | |||||
− | 1.66638e7i | − | 0.847246i | −0.905839 | − | 0.423623i | ||||
0.905839 | − | 0.423623i | ||||||||
−6.59909e6 | − | 1.24185e6i | −0.334509 | − | 0.0629497i | |||||
7.96656e6 | + | 4.59949e6i | 0.402610 | + | 0.232447i | 0.687609 | − | 0.726081i | ||
−0.285000 | + | 0.958528i | ||||||||
−2.09793e7 | − | 1.21124e7i | −1.05705 | − | 0.610287i | |||||
−9.13795e6 | + | 1.55725e6i | −0.459035 | + | 0.0782270i | |||||
3.17898e6i | 0.159214i | |||||||||
5.47006e6 | − | 5.76795e6i | 0.273136 | − | 0.288011i | |||||
−819826. | + | 2.21286e6i | −0.0408138 | + | 0.110164i | |||||
−2.61302e7 | − | 4.52588e7i | −1.29696 | − | 2.24640i | |||||
8.33507e6 | − | 1.44368e7i | 0.412471 | − | 0.714421i | |||||
3.28214e7 | + | 565075.i | 1.61936 | + | 0.0278800i | |||||
4.57470e6 | − | 2.64120e6i | 0.225036 | − | 0.129925i | |||||
−1.21622e7 | −0.596495 | −0.298248 | − | 0.954489i | ||||||
−0.298248 | + | 0.954489i | ||||||||
−9.58057e6 | − | 4.89621e6i | −0.468482 | − | 0.239421i | |||||
−1.59860e7 | −0.779381 | |||||||||
1.74077e7 | − | 1.00503e7i | 0.846177 | − | 0.488541i | |||||
−1.24644e7 | + | 1.03376e7i | −0.604091 | + | 0.501014i | |||||
−3.50557e6 | + | 6.07182e6i | −0.169396 | + | 0.293402i | |||||
−9.61084e6 | − | 1.66465e7i | −0.463041 | − | 0.802011i | |||||
−2.45410e6 | + | 2.85744e6i | −0.117887 | + | 0.137262i | |||||
−5.92360e6 | − | 1.37814e7i | −0.283712 | − | 0.660064i | |||||
− | 958392.i | − | 0.0457671i | |||||||
6.59635e6 | + | 3.87073e7i | 0.314076 | + | 1.84299i | |||||
6.21775e6 | + | 3.58982e6i | 0.295179 | + | 0.170422i | |||||
−4.51006e6 | − | 2.60389e6i | −0.213481 | − | 0.123253i | |||||
3.49902e6 | + | 2.05322e7i | 0.165138 | + | 0.969028i | |||||
2.68757e6i | 0.126470i | 0.997999 | + | 0.0632349i | ||||||
−0.997999 | + | 0.0632349i | ||||||||
−1.38109e7 | + | 1.85012e7i | −0.648004 | + | 0.868073i | |||||
−2.60835e7 | + | 3.03703e7i | −1.22025 | + | 1.42080i | |||||
606582. | + | 1.05063e6i | 0.0282947 | + | 0.0490078i | |||||
16391.7 | − | 28391.2i | 0.000762380 | − | 0.00132048i | −0.865644 | − | 0.500660i | ||
0.866406 | + | 0.499340i | ||||||||
1.95964e7 | − | 1.62526e7i | 0.908777 | − | 0.753710i | |||||
−2.24671e7 | + | 1.29714e7i | −1.03888 | + | 0.599796i | −0.919515 | − | 0.393055i | ||
−0.119362 | + | 0.992851i | ||||||||
−1.59551e6 | −0.0735620 | |||||||||
1.79452e6 | + | 2.77068e6i | 0.0824974 | + | 0.127373i | |||||
7.43210e6 | 0.340678 | |||||||||
1.00839e7 | − | 5.82196e6i | 0.460896 | − | 0.266098i | −0.251525 | − | 0.967851i | ||
0.712421 | + | 0.701752i | ||||||||
3.87833e6 | + | 66772.0i | 0.176751 | + | 0.00304306i | |||||
2.53794e7 | − | 4.39585e7i | 1.15330 | − | 1.99757i | |||||
−1.10539e7 | − | 1.91460e7i | −0.500867 | − | 0.867528i | |||||
−6.47781e6 | + | 1.74848e7i | −0.292672 | + | 0.789974i | |||||
1.65144e7 | − | 7.09831e6i | 0.743986 | − | 0.319783i | |||||
− | 2.12181e7i | − | 0.953139i | |||||||
3.08907e7 | − | 5.26427e6i | 1.38366 | − | 0.235798i | |||||
1.63781e7 | + | 9.45589e6i | 0.731506 | + | 0.422335i | |||||
−8.15763e6 | − | 4.70981e6i | −0.363306 | − | 0.209755i | |||||
242808. | + | 45692.8i | 0.0107827 | + | 0.00202914i | |||||
1.36818e7i | 0.605850i | |||||||||
7.17509e6 | + | 848059.i | 0.316816 | + | 0.0374460i | |||||
2.99841e6 | + | 1.11086e6i | 0.132017 | + | 0.0489101i | |||||
−1.21388e7 | − | 2.10250e7i | −0.532936 | − | 0.923073i | −0.999260 | − | 0.0384589i | ||
0.466324 | − | 0.884614i | ||||||||
1.14122e7 | − | 1.97665e7i | 0.499612 | − | 0.865353i | |||||
−2.50077e7 | − | 3.01527e7i | −1.09169 | − | 1.31630i | |||||
9.70226e6 | − | 5.60160e6i | 0.422344 | − | 0.243840i | |||||
−3.00774e7 | −1.30557 | −0.652787 | − | 0.757542i | ||||||
−0.652787 | + | 0.757542i | ||||||||
1.66816e6 | + | 1.62510e7i | 0.0722048 | + | 0.703411i | |||||
1.55262e6 | 0.0670139 | 0.0335069 | − | 0.999438i | ||||||
0.0335069 | + | 0.999438i | ||||||||
−5.08646e6 | + | 2.93667e6i | −0.218920 | + | 0.126393i | |||||
5.36858e6 | + | 6.47310e6i | 0.230410 | + | 0.277814i | |||||
1.02652e7 | − | 1.77798e7i | 0.439320 | − | 0.760925i | |||||
658464. | + | 1.14049e6i | 0.0281011 | + | 0.0486725i | 0.879734 | − | 0.475466i | ||
−0.851633 | + | 0.524139i | ||||||||
2.82092e6 | + | 1.04510e6i | 0.120049 | + | 0.0444760i | |||||
1.20368e7 | + | 1.42269e6i | 0.510808 | + | 0.0603749i | |||||
− | 1.94844e7i | − | 0.824542i | |||||||
−1.94164e7 | − | 2.42487e7i | −0.819360 | − | 1.02328i | |||||
9.01882e6 | + | 5.20702e6i | 0.379523 | + | 0.219118i | |||||
6.64641e6 | + | 3.83731e6i | 0.278906 | + | 0.161027i | |||||
−1.91954e6 | + | 327120.i | −0.0803253 | + | 0.0136887i | |||||
6.36945e7i | 2.65793i | |||||||||
1.95143e6 | − | 838770.i | 0.0812048 | − | 0.0349038i | |||||
−7.25913e6 | + | 1.95937e7i | −0.301234 | + | 0.813085i | |||||
−3.12725e6 | − | 5.41655e6i | −0.129411 | − | 0.224146i | |||||
−2.61765e7 | + | 4.53390e7i | −1.08022 | + | 1.87100i | |||||
−1.39220e7 | + | 4.88698e6i | −0.572920 | + | 0.201110i | |||||
1.53345e6 | − | 885339.i | 0.0629301 | − | 0.0363327i | |||||
−3.43728e6 | −0.140669 | |||||||||
1.31696e6 | + | 2.03334e6i | 0.0537468 | + | 0.0829832i | |||||
9.99177e6 | 0.406651 | |||||||||
3.53314e7 | − | 2.03986e7i | 1.43397 | − | 0.827903i | |||||
−1.70932e7 | + | 1.41766e7i | −0.691837 | + | 0.573787i | |||||
8.12564e6 | − | 1.40740e7i | 0.327974 | − | 0.568068i | −0.654136 | − | 0.756377i | ||
0.982110 | + | 0.188310i | ||||||||
−3.73271e6 | − | 6.46524e6i | −0.150248 | − | 0.260238i | |||||
−1.43602e7 | − | 1.23332e7i | −0.576434 | − | 0.495069i | |||||
−2.00276e7 | + | 2.68292e7i | −0.801724 | + | 1.07400i | |||||
2.24793e7i | 0.897402i | 0.893682 | + | 0.448701i | ||||||
−0.893682 | + | 0.448701i | ||||||||
−1.32772e6 | − | 7.79104e6i | −0.0528590 | − | 0.310176i | |||||
−3.31688e7 | − | 1.91500e7i | −1.31690 | − | 0.760312i | |||||
2.18253e7 | + | 1.26009e7i | 0.864162 | + | 0.498924i | |||||
9.69890e6 | + | 5.69131e7i | 0.382975 | + | 2.24729i | |||||
− | 4.95229e6i | − | 0.195015i | |||||||
−4.23397e6 | − | 9.85046e6i | −0.166274 | − | 0.386841i | |||||
3.47587e6 | + | 6.26712e6i | 0.136131 | + | 0.245449i | |||||
5.60967e6 | + | 9.71623e6i | 0.219103 | + | 0.379498i | 0.954534 | − | 0.298102i | ||
−0.735431 | + | 0.677600i | ||||||||
−4.59744e6 | + | 7.96301e6i | −0.179080 | + | 0.310175i | |||||
−9.49222e6 | + | 7.87254e6i | −0.368739 | + | 0.305820i | |||||
−564145. | + | 325709.i | −0.0218556 | + | 0.0126184i | |||||
6.48123e7 | 2.50411 | |||||||||
−1.51471e7 | − | 7.74104e6i | −0.583648 | − | 0.298277i | |||||
−1.14431e7 | −0.439733 | |||||||||
−2.91330e7 | + | 1.68199e7i | −1.11650 | + | 0.644609i | |||||
−2.55937e6 | − | 7.29110e6i | −0.0978215 | − | 0.278672i | |||||
−3.09314e6 | + | 5.35747e6i | −0.117904 | + | 0.204216i | |||||
585570. | + | 1.01424e6i | 0.0222607 | + | 0.0385567i | 0.876941 | − | 0.480598i | ||
−0.854680 | + | 0.519154i | ||||||||
1.56158e7 | − | 4.21500e7i | 0.592049 | − | 1.59805i | |||||
3.19120e7 | − | 9.46393e6i | 1.20665 | − | 0.357847i | |||||
2.02044e7i | 0.761914i | |||||||||
2.57091e6 | − | 438124.i | 0.0966901 | − | 0.0164776i | |||||
2.23835e7 | + | 1.29231e7i | 0.839578 | + | 0.484731i | |||||
1.79254e7 | + | 1.03492e7i | 0.670564 | + | 0.387151i | |||||
2.23225e6 | − | 1.18620e7i | 0.0832824 | − | 0.442556i | |||||
− | 2.95716e7i | − | 1.10034i | −0.835053 | − | 0.550169i | ||||
0.835053 | − | 0.550169i | ||||||||
1.48318e6 | − | 1.25486e7i | 0.0550412 | − | 0.465682i | |||||
1.85372e7 | + | 6.86771e6i | 0.686089 | + | 0.254184i | |||||
2.57887e6 | + | 4.46673e6i | 0.0951940 | + | 0.164881i | |||||
2.26652e7 | − | 3.92573e7i | 0.834421 | − | 1.44526i | −0.0600797 | − | 0.998194i | ||
0.894501 | − | 0.447066i | ||||||||
1.26170e7 | + | 1.52128e7i | 0.463263 | + | 0.558574i | |||||
2.44315e6 | − | 1.41055e6i | 0.0894686 | − | 0.0516547i | |||||
−1.66022e6 | −0.0606365 | |||||||||
3.23107e7 | + | 2.49970e7i | 1.17697 | + | 0.910559i | |||||
−2.52254e6 | −0.0916454 | |||||||||
−3.82062e7 | + | 2.20584e7i | −1.38439 | + | 0.799279i | −0.992676 | − | 0.120806i | ||
−0.391717 | + | 0.920086i | ||||||||
−6.42182e6 | − | 7.74303e6i | −0.232080 | − | 0.279827i | |||||
4.97503e6 | − | 8.61701e6i | 0.179321 | − | 0.310593i | |||||
1.50316e7 | + | 2.60355e7i | 0.540376 | + | 0.935958i | |||||
4.38783e7 | + | 1.62561e7i | 1.57325 | + | 0.582862i | |||||
3.14473e6 | + | 2.34750e6i | 0.112458 | + | 0.0839484i | |||||
5.71596e6i | 0.203872i | 0.994791 | + | 0.101936i | ||||||
−0.994791 | + | 0.101936i | ||||||||
−672972. | + | 3.57612e6i | −0.0239401 | + | 0.127216i | |||||
−2.45629e7 | − | 1.41814e7i | −0.871506 | − | 0.503164i | |||||
−1.52707e6 | − | 881652.i | −0.0540397 | − | 0.0311998i | |||||
4.88390e7 | − | 8.32296e6i | 1.72380 | − | 0.293763i | |||||
2.12648e7i | 0.748597i | |||||||||
−8.07840e6 | − | 6.03041e6i | −0.283648 | − | 0.211739i | |||||
1.84524e6 | − | 4.98064e6i | 0.0646212 | − | 0.174424i | |||||
2.32341e7 | + | 4.02426e7i | 0.811553 | + | 1.40565i | |||||
4.68053e6 | − | 8.10692e6i | 0.163064 | − | 0.282435i | |||||
−1.52564e6 | − | 4.34624e6i | −0.0530137 | − | 0.151025i | |||||
−1.47030e7 | + | 8.48876e6i | −0.509580 | + | 0.294206i | |||||
−1.80592e7 | −0.624282 | |||||||||
1.39430e7 | − | 713744.i | 0.480742 | − | 0.0246093i | |||||
−1.87898e7 | −0.646182 | −0.323091 | − | 0.946368i | ||||||
−0.323091 | + | 0.946368i | ||||||||
6.41318e6 | − | 3.70265e6i | 0.219981 | − | 0.127006i | |||||
1.12394e7 | − | 9.32155e6i | 0.384531 | − | 0.318918i | |||||
169159. | − | 292992.i | 0.00577253 | − | 0.00999831i | |||||
−3.13939e6 | − | 5.43759e6i | −0.106856 | − | 0.185080i | 0.807639 | − | 0.589677i | ||
−0.914495 | + | 0.404598i | ||||||||
−1.44246e7 | − | 2.97248e6i | −0.489710 | − | 0.100914i | |||||
575906. | − | 4.87251e6i | 0.0195016 | − | 0.164995i | |||||
− | 3.05109e7i | − | 1.03052i | |||||||
7.71316e6 | + | 4.52607e7i | 0.259849 | + | 1.52479i | |||||
−9.87062e6 | − | 5.69880e6i | −0.331680 | − | 0.191496i | |||||
−2.64868e7 | − | 1.52922e7i | −0.887754 | − | 0.512545i | −0.0145471 | − | 0.999894i | ||
−0.873207 | + | 0.487349i | ||||||||
−1.72194e6 | − | 1.01043e7i | −0.0575665 | − | 0.337800i | |||||
− | 3.08054e7i | − | 1.02724i | |||||||
2.17534e7 | + | 5.21513e6i | 0.723538 | + | 0.173460i | |||||
2.71320e7 | + | 2.33023e7i | 0.900140 | + | 0.773083i | |||||
−4.64758e6 | − | 8.04984e6i | −0.153797 | − | 0.266384i | |||||
−93556.9 | + | 162045.i | −0.00308811 | + | 0.00534876i | −0.867565 | − | 0.497323i | ||
0.864477 | + | 0.502672i | ||||||||
−1.25436e6 | + | 1.04032e6i | −0.0412984 | + | 0.0342515i | |||||
545799. | − | 315117.i | 0.0179243 | − | 0.0103486i | |||||
−1.14295e7 | −0.374398 | |||||||||
3.56382e6 | − | 6.97345e6i | 0.116446 | − | 0.227853i | |||||
−2.45933e7 | −0.801539 | |||||||||
1.79297e6 | − | 1.03517e6i | 0.0582885 | − | 0.0336529i | |||||
−4.01362e7 | + | 1.40889e7i | −1.30151 | + | 0.456866i | |||||
−2.73564e7 | + | 4.73826e7i | −0.884860 | + | 1.53262i | −0.0389850 | + | 0.999240i | ||
−0.845875 | + | 0.533382i | ||||||||
4.43692e6 | + | 7.68498e6i | 0.143154 | + | 0.247950i | |||||
−3.26012e6 | + | 8.79965e6i | −0.104920 | + | 0.283199i | |||||
−1.71006e7 | − | 3.97851e7i | −0.548966 | − | 1.27719i | |||||
− | 6.09656e7i | − | 1.95221i | |||||||
−1.79001e7 | + | 3.05046e6i | −0.571750 | + | 0.0974355i | |||||
1.17404e7 | + | 6.77833e6i | 0.374063 | + | 0.215966i | 0.675232 | − | 0.737605i | ||
−0.301169 | + | 0.953571i | ||||||||
1.73127e7 | + | 9.99550e6i | 0.550223 | + | 0.317671i | |||||
−9.79206e6 | − | 5.88049e6i | −0.310428 | − | 0.186423i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 42.6.f.a.17.12 | yes | 28 | |
3.2 | odd | 2 | inner | 42.6.f.a.17.7 | yes | 28 | |
7.3 | odd | 6 | 294.6.d.a.293.6 | 28 | |||
7.4 | even | 3 | 294.6.d.a.293.24 | 28 | |||
7.5 | odd | 6 | inner | 42.6.f.a.5.7 | ✓ | 28 | |
21.5 | even | 6 | inner | 42.6.f.a.5.12 | yes | 28 | |
21.11 | odd | 6 | 294.6.d.a.293.5 | 28 | |||
21.17 | even | 6 | 294.6.d.a.293.23 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
42.6.f.a.5.7 | ✓ | 28 | 7.5 | odd | 6 | inner | |
42.6.f.a.5.12 | yes | 28 | 21.5 | even | 6 | inner | |
42.6.f.a.17.7 | yes | 28 | 3.2 | odd | 2 | inner | |
42.6.f.a.17.12 | yes | 28 | 1.1 | even | 1 | trivial | |
294.6.d.a.293.5 | 28 | 21.11 | odd | 6 | |||
294.6.d.a.293.6 | 28 | 7.3 | odd | 6 | |||
294.6.d.a.293.23 | 28 | 21.17 | even | 6 | |||
294.6.d.a.293.24 | 28 | 7.4 | even | 3 |