Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [510,2,Mod(257,510)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(510, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 2, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("510.257");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 510.w (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: | |
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 | 383.1 | ||
Root | of defining polynomial | ||
Character | 510.383 | ||
Dual form | 510.2.w.b.257.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
1.00000 | 0.707107 | |||||||||
−0.292893 | + | 1.70711i | −0.169102 | + | 0.985599i | |||||
1.00000 | 0.500000 | |||||||||
−2.00000 | − | 1.00000i | −0.894427 | − | 0.447214i | |||||
−0.292893 | + | 1.70711i | −0.119573 | + | 0.696923i | |||||
−4.12132 | − | 1.70711i | −1.55771 | − | 0.645226i | −0.573023 | − | 0.819540i | ||
−0.984690 | + | 0.174314i | ||||||||
1.00000 | 0.353553 | |||||||||
−2.82843 | − | 1.00000i | −0.942809 | − | 0.333333i | |||||
−2.00000 | − | 1.00000i | −0.632456 | − | 0.316228i | |||||
−0.878680 | − | 2.12132i | −0.264932 | − | 0.639602i | 0.734299 | − | 0.678827i | ||
−0.999230 | + | 0.0392245i | ||||||||
−0.292893 | + | 1.70711i | −0.0845510 | + | 0.492799i | |||||
−4.41421 | + | 4.41421i | −1.22428 | + | 1.22428i | −0.258188 | + | 0.966095i | ||
−0.966095 | + | 0.258188i | ||||||||
−4.12132 | − | 1.70711i | −1.10147 | − | 0.456243i | |||||
2.29289 | − | 3.12132i | 0.592022 | − | 0.805921i | |||||
1.00000 | 0.250000 | |||||||||
−3.00000 | − | 2.82843i | −0.727607 | − | 0.685994i | |||||
−2.82843 | − | 1.00000i | −0.666667 | − | 0.235702i | |||||
3.24264 | + | 3.24264i | 0.743913 | + | 0.743913i | 0.973329 | − | 0.229416i | ||
−0.229416 | + | 0.973329i | ||||||||
−2.00000 | − | 1.00000i | −0.447214 | − | 0.223607i | |||||
4.12132 | − | 6.53553i | 0.899346 | − | 1.42617i | |||||
−0.878680 | − | 2.12132i | −0.187335 | − | 0.452267i | |||||
−1.29289 | + | 3.12132i | −0.269587 | + | 0.650840i | −0.999464 | − | 0.0327381i | ||
0.729877 | + | 0.683578i | ||||||||
−0.292893 | + | 1.70711i | −0.0597866 | + | 0.348462i | |||||
3.00000 | + | 4.00000i | 0.600000 | + | 0.800000i | |||||
−4.41421 | + | 4.41421i | −0.865699 | + | 0.865699i | |||||
2.53553 | − | 4.53553i | 0.487964 | − | 0.872864i | |||||
−4.12132 | − | 1.70711i | −0.778856 | − | 0.322613i | |||||
0.121320 | − | 0.292893i | 0.0225286 | − | 0.0543889i | −0.912215 | − | 0.409712i | ||
0.934744 | + | 0.355323i | ||||||||
2.29289 | − | 3.12132i | 0.418623 | − | 0.569873i | |||||
−0.707107 | − | 0.292893i | −0.127000 | − | 0.0526052i | 0.318278 | − | 0.947997i | ||
−0.445279 | + | 0.895392i | ||||||||
1.00000 | 0.176777 | |||||||||
3.87868 | − | 0.878680i | 0.675191 | − | 0.152958i | |||||
−3.00000 | − | 2.82843i | −0.514496 | − | 0.485071i | |||||
6.53553 | + | 7.53553i | 1.10471 | + | 1.27374i | |||||
−2.82843 | − | 1.00000i | −0.471405 | − | 0.166667i | |||||
2.70711 | − | 1.12132i | 0.445046 | − | 0.184344i | −0.148895 | − | 0.988853i | ||
0.593940 | + | 0.804509i | ||||||||
3.24264 | + | 3.24264i | 0.526026 | + | 0.526026i | |||||
−6.24264 | − | 8.82843i | −0.999623 | − | 1.41368i | |||||
−2.00000 | − | 1.00000i | −0.316228 | − | 0.158114i | |||||
1.12132 | − | 0.464466i | 0.175121 | − | 0.0725374i | −0.293400 | − | 0.955990i | ||
0.468521 | + | 0.883452i | ||||||||
4.12132 | − | 6.53553i | 0.635934 | − | 1.00845i | |||||
− | 11.6569i | − | 1.77765i | −0.458243 | − | 0.888827i | ||||
0.458243 | − | 0.888827i | ||||||||
−0.878680 | − | 2.12132i | −0.132466 | − | 0.319801i | |||||
4.65685 | + | 4.82843i | 0.694203 | + | 0.719779i | |||||
−1.29289 | + | 3.12132i | −0.190627 | + | 0.460214i | |||||
−5.82843 | + | 5.82843i | −0.850163 | + | 0.850163i | −0.990153 | − | 0.139990i | ||
0.139990 | + | 0.990153i | ||||||||
−0.292893 | + | 1.70711i | −0.0422755 | + | 0.246400i | |||||
9.12132 | + | 9.12132i | 1.30305 | + | 1.30305i | |||||
3.00000 | + | 4.00000i | 0.424264 | + | 0.565685i | |||||
5.70711 | − | 4.29289i | 0.799155 | − | 0.601125i | |||||
−4.41421 | + | 4.41421i | −0.612141 | + | 0.612141i | |||||
1.17157i | 0.160928i | 0.996758 | + | 0.0804640i | ||||||
−0.996758 | + | 0.0804640i | ||||||||
2.53553 | − | 4.53553i | 0.345042 | − | 0.617208i | |||||
−0.363961 | + | 5.12132i | −0.0490765 | + | 0.690559i | |||||
−4.12132 | − | 1.70711i | −0.550735 | − | 0.228122i | |||||
−6.48528 | + | 4.58579i | −0.858997 | + | 0.607402i | |||||
0.121320 | − | 0.292893i | 0.0159301 | − | 0.0384588i | |||||
−6.41421 | − | 6.41421i | −0.835059 | − | 0.835059i | 0.153144 | − | 0.988204i | ||
−0.988204 | + | 0.153144i | ||||||||
2.29289 | − | 3.12132i | 0.296011 | − | 0.402961i | |||||
1.05025 | + | 2.53553i | 0.134471 | + | 0.324642i | 0.976744 | − | 0.214410i | ||
−0.842273 | + | 0.539052i | ||||||||
−0.707107 | − | 0.292893i | −0.0898027 | − | 0.0371975i | |||||
9.94975 | + | 8.94975i | 1.25355 | + | 1.12756i | |||||
1.00000 | 0.125000 | |||||||||
13.2426 | − | 4.41421i | 1.64255 | − | 0.547516i | |||||
3.87868 | − | 0.878680i | 0.477432 | − | 0.108158i | |||||
−4.41421 | + | 4.41421i | −0.539282 | + | 0.539282i | −0.923318 | − | 0.384036i | ||
0.384036 | + | 0.923318i | ||||||||
−3.00000 | − | 2.82843i | −0.363803 | − | 0.342997i | |||||
−4.94975 | − | 3.12132i | −0.595880 | − | 0.375763i | |||||
6.53553 | + | 7.53553i | 0.781146 | + | 0.900669i | |||||
−2.36396 | + | 5.70711i | −0.280551 | + | 0.677309i | −0.999849 | − | 0.0173925i | ||
0.719298 | + | 0.694701i | ||||||||
−2.82843 | − | 1.00000i | −0.333333 | − | 0.117851i | |||||
−9.36396 | + | 3.87868i | −1.09597 | + | 0.453965i | −0.856084 | − | 0.516836i | ||
−0.239885 | + | 0.970801i | ||||||||
2.70711 | − | 1.12132i | 0.314695 | − | 0.130351i | |||||
−7.70711 | + | 3.94975i | −0.889940 | + | 0.456078i | |||||
3.24264 | + | 3.24264i | 0.371956 | + | 0.371956i | |||||
10.2426i | 1.16726i | |||||||||
−6.24264 | − | 8.82843i | −0.706840 | − | 0.999623i | |||||
−5.87868 | − | 14.1924i | −0.661403 | − | 1.59677i | −0.795606 | − | 0.605815i | ||
0.134203 | − | 0.990954i | ||||||||
−2.00000 | − | 1.00000i | −0.223607 | − | 0.111803i | |||||
7.00000 | + | 5.65685i | 0.777778 | + | 0.628539i | |||||
1.12132 | − | 0.464466i | 0.123829 | − | 0.0512917i | |||||
− | 11.6569i | − | 1.27951i | −0.768581 | − | 0.639753i | ||||
0.768581 | − | 0.639753i | ||||||||
4.12132 | − | 6.53553i | 0.449673 | − | 0.713085i | |||||
3.17157 | + | 8.65685i | 0.344005 | + | 0.938968i | |||||
− | 11.6569i | − | 1.25699i | |||||||
0.464466 | + | 0.292893i | 0.0497960 | + | 0.0314014i | |||||
−0.878680 | − | 2.12132i | −0.0936676 | − | 0.226134i | |||||
14.1421i | 1.49906i | 0.661968 | + | 0.749532i | ||||||
−0.661968 | + | 0.749532i | ||||||||
4.65685 | + | 4.82843i | 0.490876 | + | 0.508961i | |||||
25.7279 | − | 10.6569i | 2.69702 | − | 1.11714i | |||||
−1.29289 | + | 3.12132i | −0.134793 | + | 0.325420i | |||||
0.707107 | − | 1.12132i | 0.0733236 | − | 0.116276i | |||||
−5.82843 | + | 5.82843i | −0.601156 | + | 0.601156i | |||||
−3.24264 | − | 9.72792i | −0.332688 | − | 0.998064i | |||||
−0.292893 | + | 1.70711i | −0.0298933 | + | 0.174231i | |||||
−1.46447 | − | 3.53553i | −0.148694 | − | 0.358979i | 0.831929 | − | 0.554882i | ||
−0.980623 | + | 0.195902i | ||||||||
9.12132 | + | 9.12132i | 0.921392 | + | 0.921392i | |||||
0.363961 | + | 6.87868i | 0.0365795 | + | 0.691333i | |||||
3.00000 | + | 4.00000i | 0.300000 | + | 0.400000i | |||||
10.8284i | 1.07747i | 0.842476 | + | 0.538734i | ||||||
−0.842476 | + | 0.538734i | ||||||||
5.70711 | − | 4.29289i | 0.565088 | − | 0.425060i | |||||
−1.34315 | − | 1.34315i | −0.132344 | − | 0.132344i | 0.637832 | − | 0.770176i | ||
−0.770176 | + | 0.637832i | ||||||||
−4.41421 | + | 4.41421i | −0.432849 | + | 0.432849i | |||||
−14.7782 | + | 8.94975i | −1.44220 | + | 0.873406i | |||||
1.17157i | 0.113793i | |||||||||
−6.53553 | + | 2.70711i | −0.631814 | + | 0.261706i | −0.675524 | − | 0.737338i | ||
0.0437097 | + | 0.999044i | ||||||||
2.53553 | − | 4.53553i | 0.243982 | − | 0.436432i | |||||
−6.70711 | + | 2.77817i | −0.642424 | + | 0.266101i | −0.680022 | − | 0.733192i | ||
0.0375973 | + | 0.999293i | ||||||||
−0.363961 | + | 5.12132i | −0.0347023 | + | 0.488299i | |||||
1.12132 | + | 4.94975i | 0.106431 | + | 0.469809i | |||||
−4.12132 | − | 1.70711i | −0.389428 | − | 0.161306i | |||||
−1.36396 | + | 3.29289i | −0.128311 | + | 0.309769i | −0.974959 | − | 0.222383i | ||
0.846649 | + | 0.532152i | ||||||||
−6.48528 | + | 4.58579i | −0.607402 | + | 0.429498i | |||||
5.70711 | − | 4.94975i | 0.532190 | − | 0.461566i | |||||
0.121320 | − | 0.292893i | 0.0112643 | − | 0.0271945i | |||||
16.8995 | − | 8.07107i | 1.56236 | − | 0.746170i | |||||
−6.41421 | − | 6.41421i | −0.590476 | − | 0.590476i | |||||
7.53553 | + | 16.7782i | 0.690781 | + | 1.53805i | |||||
2.29289 | − | 3.12132i | 0.209312 | − | 0.284936i | |||||
4.05025 | − | 4.05025i | 0.368205 | − | 0.368205i | |||||
1.05025 | + | 2.53553i | 0.0950854 | + | 0.229556i | |||||
0.464466 | + | 2.05025i | 0.0418795 | + | 0.184865i | |||||
−0.707107 | − | 0.292893i | −0.0635001 | − | 0.0263026i | |||||
−2.00000 | − | 11.0000i | −0.178885 | − | 0.983870i | |||||
9.94975 | + | 8.94975i | 0.886394 | + | 0.797307i | |||||
−1.65685 | −0.147022 | −0.0735110 | − | 0.997294i | ||||||
−0.0735110 | + | 0.997294i | ||||||||
1.00000 | 0.0883883 | |||||||||
19.8995 | + | 3.41421i | 1.75205 | + | 0.300605i | |||||
13.2426 | − | 4.41421i | 1.16146 | − | 0.387152i | |||||
−8.53553 | − | 3.53553i | −0.745753 | − | 0.308901i | −0.0227456 | − | 0.999741i | ||
−0.723007 | + | 0.690840i | ||||||||
3.87868 | − | 0.878680i | 0.337596 | − | 0.0764792i | |||||
−7.82843 | − | 18.8995i | −0.678811 | − | 1.63879i | |||||
−4.41421 | + | 4.41421i | −0.381330 | + | 0.381330i | |||||
−9.60660 | + | 6.53553i | −0.826805 | + | 0.562489i | |||||
−3.00000 | − | 2.82843i | −0.257248 | − | 0.242536i | |||||
7.48528 | + | 7.48528i | 0.639511 | + | 0.639511i | 0.950435 | − | 0.310924i | ||
−0.310924 | + | 0.950435i | ||||||||
−4.94975 | − | 3.12132i | −0.421350 | − | 0.265704i | |||||
3.12132 | − | 7.53553i | 0.264747 | − | 0.639156i | −0.734473 | − | 0.678638i | ||
0.999220 | + | 0.0394819i | ||||||||
6.53553 | + | 7.53553i | 0.552353 | + | 0.636869i | |||||
−8.24264 | − | 11.6569i | −0.694156 | − | 0.981684i | |||||
−2.36396 | + | 5.70711i | −0.198379 | + | 0.478930i | |||||
13.2426 | + | 5.48528i | 1.10741 | + | 0.458702i | |||||
−2.82843 | − | 1.00000i | −0.235702 | − | 0.0833333i | |||||
−0.535534 | + | 0.464466i | −0.0444737 | + | 0.0385718i | |||||
−9.36396 | + | 3.87868i | −0.774967 | + | 0.321002i | |||||
−18.2426 | + | 12.8995i | −1.50463 | + | 1.06393i | |||||
2.70711 | − | 1.12132i | 0.222523 | − | 0.0921720i | |||||
− | 22.1421i | − | 1.81395i | −0.421180 | − | 0.906977i | ||||
0.421180 | − | 0.906977i | ||||||||
−7.70711 | + | 3.94975i | −0.629283 | + | 0.322496i | |||||
6.65685 | − | 6.65685i | 0.541727 | − | 0.541727i | −0.382308 | − | 0.924035i | ||
0.924035 | + | 0.382308i | ||||||||
3.24264 | + | 3.24264i | 0.263013 | + | 0.263013i | |||||
5.65685 | + | 11.0000i | 0.457330 | + | 0.889297i | |||||
10.2426i | 0.825376i | |||||||||
1.12132 | + | 1.29289i | 0.0900666 | + | 0.103848i | |||||
−6.24264 | − | 8.82843i | −0.499811 | − | 0.706840i | |||||
16.0711 | + | 16.0711i | 1.28261 | + | 1.28261i | 0.939177 | + | 0.343434i | ||
0.343434 | + | 0.939177i | ||||||||
−5.87868 | − | 14.1924i | −0.467683 | − | 1.12909i | |||||
−2.00000 | − | 0.343146i | −0.158610 | − | 0.0272132i | |||||
−2.00000 | − | 1.00000i | −0.158114 | − | 0.0790569i | |||||
10.6569 | − | 10.6569i | 0.839878 | − | 0.839878i | |||||
7.00000 | + | 5.65685i | 0.549972 | + | 0.444444i | |||||
3.36396 | − | 8.12132i | 0.263486 | − | 0.636111i | −0.735664 | − | 0.677347i | ||
0.999149 | + | 0.0412361i | ||||||||
1.12132 | − | 0.464466i | 0.0875604 | − | 0.0362687i | |||||
−8.63604 | − | 2.12132i | −0.672315 | − | 0.165145i | |||||
− | 11.6569i | − | 0.904747i | |||||||
−1.39340 | − | 3.36396i | −0.107824 | − | 0.260311i | 0.860753 | − | 0.509022i | ||
−0.968578 | + | 0.248711i | ||||||||
4.12132 | − | 6.53553i | 0.317967 | − | 0.504227i | |||||
− | 25.9706i | − | 1.99774i | |||||||
3.17157 | + | 8.65685i | 0.243249 | + | 0.663950i | |||||
−5.92893 | − | 12.4142i | −0.453397 | − | 0.949339i | |||||
− | 11.6569i | − | 0.888827i | |||||||
−15.1924 | + | 6.29289i | −1.15506 | + | 0.478440i | −0.876226 | − | 0.481901i | ||
−0.278830 | + | 0.960340i | ||||||||
0.464466 | + | 0.292893i | 0.0352111 | + | 0.0222042i | |||||
−5.53553 | − | 21.6066i | −0.418447 | − | 1.63331i | |||||
−0.878680 | − | 2.12132i | −0.0662330 | − | 0.159901i | |||||
12.8284 | − | 9.07107i | 0.964244 | − | 0.681823i | |||||
14.1421i | 1.06000i | |||||||||
1.24264 | + | 1.24264i | 0.0928793 | + | 0.0928793i | 0.752020 | − | 0.659140i | ||
−0.659140 | + | 0.752020i | ||||||||
4.65685 | + | 4.82843i | 0.347101 | + | 0.359890i | |||||
−3.87868 | + | 1.60660i | −0.288300 | + | 0.119418i | −0.522147 | − | 0.852856i | ||
0.233847 | + | 0.972273i | ||||||||
25.7279 | − | 10.6569i | 1.90708 | − | 0.789939i | |||||
−4.63604 | + | 1.05025i | −0.342706 | + | 0.0776369i | |||||
−1.29289 | + | 3.12132i | −0.0953134 | + | 0.230107i | |||||
−6.53553 | − | 0.464466i | −0.480502 | − | 0.0341482i | |||||
0.707107 | − | 1.12132i | 0.0518476 | − | 0.0822192i | |||||
−3.36396 | + | 8.84924i | −0.245997 | + | 0.647121i | |||||
−5.82843 | + | 5.82843i | −0.425082 | + | 0.425082i | |||||
−18.1924 | + | 14.3640i | −1.32330 | + | 1.04482i | |||||
−3.24264 | − | 9.72792i | −0.235246 | − | 0.705738i | |||||
−17.6569 | −1.27761 | −0.638803 | − | 0.769371i | ||||||
−0.638803 | + | 0.769371i | ||||||||
−0.292893 | + | 1.70711i | −0.0211377 | + | 0.123200i | |||||
8.29289 | + | 3.43503i | 0.596936 | + | 0.247259i | 0.660631 | − | 0.750711i | ||
−0.0636957 | + | 0.997969i | ||||||||
−1.46447 | − | 3.53553i | −0.105143 | − | 0.253837i | |||||
3.65685 | + | 23.8995i | 0.261873 | + | 1.71148i | |||||
9.12132 | + | 9.12132i | 0.651523 | + | 0.651523i | |||||
1.05025 | − | 2.53553i | 0.0748274 | − | 0.180649i | −0.882040 | − | 0.471175i | ||
0.956867 | + | 0.290525i | ||||||||
0.363961 | + | 6.87868i | 0.0258656 | + | 0.488846i | |||||
7.77817 | + | 3.22183i | 0.551380 | + | 0.228389i | 0.640938 | − | 0.767592i | ||
−0.0895581 | + | 0.995982i | ||||||||
3.00000 | + | 4.00000i | 0.212132 | + | 0.282843i | |||||
−6.24264 | − | 8.82843i | −0.440322 | − | 0.622709i | |||||
10.8284i | 0.761885i | |||||||||
−1.00000 | + | 1.00000i | −0.0701862 | + | 0.0701862i | |||||
5.70711 | − | 4.29289i | 0.399577 | − | 0.300563i | |||||
−2.70711 | − | 0.192388i | −0.189073 | − | 0.0134370i | |||||
−1.34315 | − | 1.34315i | −0.0935814 | − | 0.0935814i | |||||
6.77817 | − | 7.53553i | 0.471116 | − | 0.523756i | |||||
−4.41421 | + | 4.41421i | −0.306071 | + | 0.306071i | |||||
4.02944 | − | 9.72792i | 0.278722 | − | 0.672894i | |||||
−14.7782 | + | 8.94975i | −1.01979 | + | 0.617591i | |||||
−1.60660 | − | 3.87868i | −0.110603 | − | 0.267019i | 0.858880 | − | 0.512176i | ||
−0.969483 | + | 0.245157i | ||||||||
1.17157i | 0.0804640i | |||||||||
−9.05025 | − | 5.70711i | −0.620113 | − | 0.391045i | |||||
−6.53553 | + | 2.70711i | −0.446760 | + | 0.185054i | |||||
−11.6569 | + | 23.3137i | −0.794991 | + | 1.58998i | |||||
2.53553 | − | 4.53553i | 0.172521 | − | 0.308604i | |||||
2.41421 | + | 2.41421i | 0.163887 | + | 0.163887i | |||||
−6.70711 | + | 2.77817i | −0.454263 | + | 0.188162i | |||||
−3.87868 | − | 17.1213i | −0.262097 | − | 1.15695i | |||||
−0.363961 | + | 5.12132i | −0.0245382 | + | 0.345279i | |||||
25.7279 | − | 0.757359i | 1.73065 | − | 0.0509455i | |||||
1.12132 | + | 4.94975i | 0.0752581 | + | 0.332205i | |||||
−23.3137 | −1.56120 | −0.780601 | − | 0.625030i | ||||||
−0.780601 | + | 0.625030i | ||||||||
−4.12132 | − | 1.70711i | −0.275367 | − | 0.114061i | |||||
−4.48528 | − | 14.3137i | −0.299019 | − | 0.954247i | |||||
−1.36396 | + | 3.29289i | −0.0907293 | + | 0.219040i | |||||
4.53553 | + | 1.87868i | 0.301034 | + | 0.124692i | 0.528088 | − | 0.849190i | ||
−0.227054 | + | 0.973882i | ||||||||
−6.48528 | + | 4.58579i | −0.429498 | + | 0.303701i | |||||
−11.5858 | + | 11.5858i | −0.765610 | + | 0.765610i | −0.977330 | − | 0.211720i | ||
0.211720 | + | 0.977330i | ||||||||
5.70711 | − | 4.94975i | 0.376315 | − | 0.326377i | |||||
−17.4853 | − | 3.00000i | −1.15045 | − | 0.197386i | |||||
0.121320 | − | 0.292893i | 0.00796507 | − | 0.0192294i | |||||
3.12132 | + | 7.53553i | 0.204484 | + | 0.493669i | 0.992538 | − | 0.121938i | ||
−0.788053 | + | 0.615607i | ||||||||
16.8995 | − | 8.07107i | 1.10475 | − | 0.527622i | |||||
17.4853 | − | 5.82843i | 1.14061 | − | 0.380205i | |||||
−6.41421 | − | 6.41421i | −0.417530 | − | 0.417530i | |||||
25.9497 | − | 5.87868i | 1.68562 | − | 0.381861i | |||||
7.53553 | + | 16.7782i | 0.488456 | + | 1.08757i | |||||
−12.0000 | −0.776215 | −0.388108 | − | 0.921614i | ||||||
−0.388108 | + | 0.921614i | ||||||||
2.29289 | − | 3.12132i | 0.148006 | − | 0.201480i | |||||
1.36396 | + | 0.564971i | 0.0878605 | + | 0.0363930i | 0.426181 | − | 0.904638i | ||
−0.338320 | + | 0.941031i | ||||||||
4.05025 | − | 4.05025i | 0.260360 | − | 0.260360i | |||||
−11.7071 | + | 10.2929i | −0.751011 | + | 0.660289i | |||||
1.05025 | + | 2.53553i | 0.0672355 | + | 0.162321i | |||||
−9.12132 | − | 27.3640i | −0.582740 | − | 1.74822i | |||||
0.464466 | + | 2.05025i | 0.0296133 | + | 0.130719i | |||||
−28.6274 | −1.82152 | |||||||||
−0.707107 | − | 0.292893i | −0.0449013 | − | 0.0185987i | |||||
19.8995 | + | 3.41421i | 1.26108 | + | 0.216367i | |||||
−2.00000 | − | 11.0000i | −0.126491 | − | 0.695701i | |||||
9.17157 | 0.578905 | 0.289452 | − | 0.957192i | ||||||
0.289452 | + | 0.957192i | ||||||||
9.94975 | + | 8.94975i | 0.626775 | + | 0.563781i | |||||
7.75736 | 0.487701 | |||||||||
−1.65685 | −0.103960 | |||||||||
−15.7071 | + | 2.87868i | −0.983617 | + | 0.180270i | |||||
1.00000 | 0.0625000 | |||||||||
3.17157 | 0.197837 | 0.0989186 | − | 0.995096i | ||||||
0.0989186 | + | 0.995096i | ||||||||
19.8995 | + | 3.41421i | 1.23889 | + | 0.212560i | |||||
−13.0711 | −0.812197 | |||||||||
13.2426 | − | 4.41421i | 0.821274 | − | 0.273758i | |||||
−0.636039 | + | 0.707107i | −0.0393698 | + | 0.0437688i | |||||
−8.53553 | − | 3.53553i | −0.527327 | − | 0.218426i | |||||
−8.00000 | −0.493301 | −0.246651 | − | 0.969104i | ||||||
−0.246651 | + | 0.969104i | ||||||||
3.87868 | − | 0.878680i | 0.238716 | − | 0.0540790i | |||||
1.17157 | − | 2.34315i | 0.0719691 | − | 0.143938i | |||||
−7.82843 | − | 18.8995i | −0.479992 | − | 1.15880i | |||||
−24.1421 | − | 4.14214i | −1.47747 | − | 0.253495i | |||||
−4.41421 | + | 4.41421i | −0.269641 | + | 0.269641i | |||||
−29.0919 | − | 12.0503i | −1.77376 | − | 0.734717i | −0.994094 | − | 0.108526i | ||
−0.779670 | − | 0.626191i | ||||||||
−9.60660 | + | 6.53553i | −0.584639 | + | 0.397740i | |||||
−0.686292 | −0.0416892 | −0.0208446 | − | 0.999783i | ||||||
−0.0208446 | + | 0.999783i | ||||||||
−3.00000 | − | 2.82843i | −0.181902 | − | 0.171499i | |||||
10.6569 | + | 47.0416i | 0.644982 | + | 2.84709i | |||||
7.48528 | + | 7.48528i | 0.452202 | + | 0.452202i | |||||
5.84924 | − | 9.87868i | 0.352723 | − | 0.595707i | |||||
−4.94975 | − | 3.12132i | −0.297940 | − | 0.187881i | |||||
11.0919 | + | 26.7782i | 0.666447 | + | 1.60894i | 0.787511 | + | 0.616300i | ||
−0.121065 | + | 0.992645i | ||||||||
3.12132 | − | 7.53553i | 0.187204 | − | 0.451951i | |||||
1.70711 | + | 1.53553i | 0.102202 | + | 0.0919300i | |||||
6.53553 | + | 7.53553i | 0.390573 | + | 0.450334i | |||||
−2.51472 | + | 2.51472i | −0.150016 | + | 0.150016i | −0.778125 | − | 0.628109i | ||
0.628109 | + | 0.778125i | ||||||||
−8.24264 | − | 11.6569i | −0.490842 | − | 0.694156i | |||||
16.7782 | + | 6.94975i | 0.997359 | + | 0.413120i | 0.820828 | − | 0.571175i | ||
0.176531 | + | 0.984295i | ||||||||
−2.36396 | + | 5.70711i | −0.140275 | + | 0.338654i | |||||
17.5563 | − | 2.68629i | 1.03995 | − | 0.159122i | |||||
13.2426 | + | 5.48528i | 0.783054 | + | 0.324351i | |||||
−5.41421 | −0.319591 | |||||||||
−2.82843 | − | 1.00000i | −0.166667 | − | 0.0589256i | |||||
1.00000 | + | 16.9706i | 0.0588235 | + | 0.998268i | |||||
−0.535534 | + | 0.464466i | −0.0314476 | + | 0.0272744i | |||||
6.46447 | − | 1.46447i | 0.378954 | − | 0.0858485i | |||||
−9.36396 | + | 3.87868i | −0.547984 | + | 0.226983i | |||||
5.58579 | + | 5.58579i | 0.326325 | + | 0.326325i | 0.851187 | − | 0.524862i | ||
−0.524862 | + | 0.851187i | ||||||||
−18.2426 | + | 12.8995i | −1.06393 | + | 0.752314i | |||||
6.41421 | + | 19.2426i | 0.373450 | + | 1.12035i | |||||
2.70711 | − | 1.12132i | 0.157347 | − | 0.0651754i | |||||
−11.8492 | − | 1.39340i | −0.687563 | − | 0.0808532i | |||||
− | 22.1421i | − | 1.28266i | |||||||
−8.07107 | − | 19.4853i | −0.466762 | − | 1.12686i | |||||
−7.70711 | + | 3.94975i | −0.444970 | + | 0.228039i | |||||
−19.8995 | + | 48.0416i | −1.14699 | + | 2.76907i | |||||
6.65685 | − | 6.65685i | 0.383059 | − | 0.383059i | |||||
−18.4853 | − | 3.17157i | −1.06195 | − | 0.182202i | |||||
3.24264 | + | 3.24264i | 0.185978 | + | 0.185978i | |||||
0.435029 | − | 6.12132i | 0.0249097 | − | 0.350506i | |||||
5.65685 | + | 11.0000i | 0.323381 | + | 0.628828i | |||||
3.72792 | − | 3.72792i | 0.212764 | − | 0.212764i | −0.592677 | − | 0.805440i | ||
0.805440 | + | 0.592677i | ||||||||
10.2426i | 0.583629i | |||||||||
2.68629 | − | 1.89949i | 0.152818 | − | 0.108058i | |||||
1.12132 | + | 1.29289i | 0.0636867 | + | 0.0734314i | |||||
25.1924 | + | 10.4350i | 1.42853 | + | 0.591716i | 0.956988 | − | 0.290128i | ||
0.471541 | + | 0.881844i | ||||||||
−6.24264 | − | 8.82843i | −0.353420 | − | 0.499811i | |||||
7.70711 | − | 18.6066i | 0.435631 | − | 1.05171i | −0.541810 | − | 0.840501i | ||
0.977441 | − | 0.211206i | ||||||||
16.0711 | + | 16.0711i | 0.906943 | + | 0.906943i | |||||
−10.9497 | − | 27.8492i | −0.616948 | − | 1.56913i | |||||
−5.87868 | − | 14.1924i | −0.330702 | − | 0.798384i | |||||
−19.5355 | − | 8.09188i | −1.09722 | − | 0.454485i | −0.240704 | − | 0.970598i | ||
−0.856520 | + | 0.516113i | ||||||||
−2.00000 | − | 0.343146i | −0.112154 | − | 0.0192427i | |||||
−0.727922 | −0.0407558 | |||||||||
−2.00000 | − | 1.00000i | −0.111803 | − | 0.0559017i | |||||
−2.70711 | − | 11.9497i | −0.151096 | − | 0.666970i | |||||
10.6569 | − | 10.6569i | 0.593883 | − | 0.593883i | |||||
−0.556349 | − | 18.8995i | −0.0309561 | − | 1.05160i | |||||
7.00000 | + | 5.65685i | 0.388889 | + | 0.314270i | |||||
−30.8995 | − | 4.41421i | −1.71400 | − | 0.244857i | |||||
3.36396 | − | 8.12132i | 0.186313 | − | 0.449798i | |||||
−2.77817 | − | 12.2635i | −0.153633 | − | 0.678171i | |||||
1.12132 | − | 0.464466i | 0.0619146 | − | 0.0256458i | |||||
33.9706 | − | 14.0711i | 1.87286 | − | 0.775763i | |||||
−8.63604 | − | 2.12132i | −0.475398 | − | 0.116775i | |||||
−4.41421 | − | 4.41421i | −0.242627 | − | 0.242627i | 0.575309 | − | 0.817936i | ||
−0.817936 | + | 0.575309i | ||||||||
− | 11.6569i | − | 0.639753i | |||||||
−8.77817 | + | 0.464466i | −0.481041 | + | 0.0254526i | |||||
−1.39340 | − | 3.36396i | −0.0762434 | − | 0.184068i | |||||
13.2426 | − | 4.41421i | 0.723523 | − | 0.241174i | |||||
4.12132 | − | 6.53553i | 0.224836 | − | 0.356543i | |||||
6.77817 | − | 2.80761i | 0.369231 | − | 0.152940i | −0.190350 | − | 0.981716i | ||
0.559581 | + | 0.828776i | ||||||||
− | 25.9706i | − | 1.41261i | |||||||
−5.22183 | − | 3.29289i | −0.283611 | − | 0.178845i | |||||
3.17157 | + | 8.65685i | 0.172003 | + | 0.469484i | |||||
1.75736i | 0.0951663i | |||||||||
−5.92893 | − | 12.4142i | −0.320600 | − | 0.671284i | |||||
−10.0711 | − | 24.3137i | −0.543787 | − | 1.31282i | |||||
− | 11.6569i | − | 0.628495i | |||||||
6.77817 | + | 11.1924i | 0.364925 | + | 0.602578i | |||||
−15.1924 | + | 6.29289i | −0.816748 | + | 0.338308i | |||||
−7.84924 | + | 18.9497i | −0.421369 | + | 1.01728i | 0.560575 | + | 0.828104i | ||
−0.981944 | + | 0.189172i | ||||||||
0.464466 | + | 0.292893i | 0.0248980 | + | 0.0157007i | |||||
−0.757359 | + | 0.757359i | −0.0405405 | + | 0.0405405i | −0.727086 | − | 0.686546i | ||
0.686546 | + | 0.727086i | ||||||||
−5.53553 | − | 21.6066i | −0.295887 | − | 1.15492i | |||||
8.82843 | + | 31.2132i | 0.471227 | + | 1.66604i | |||||
−0.878680 | − | 2.12132i | −0.0468338 | − | 0.113067i | |||||
−16.6569 | − | 16.6569i | −0.886555 | − | 0.886555i | 0.107636 | − | 0.994190i | ||
−0.994190 | + | 0.107636i | ||||||||
12.8284 | − | 9.07107i | 0.681823 | − | 0.482122i | |||||
10.4350 | − | 9.05025i | 0.553834 | − | 0.480338i | |||||
14.1421i | 0.749532i | |||||||||
−30.8492 | + | 7.94975i | −1.63272 | + | 0.420745i | |||||
1.24264 | + | 1.24264i | 0.0656756 | + | 0.0656756i | |||||
8.65685 | − | 8.65685i | 0.456891 | − | 0.456891i | −0.440742 | − | 0.897634i | ||
0.897634 | + | 0.440742i | ||||||||
4.65685 | + | 4.82843i | 0.245438 | + | 0.254480i | |||||
2.02944i | 0.106812i | |||||||||
−3.87868 | + | 1.60660i | −0.203859 | + | 0.0844411i | |||||
5.72792 | + | 8.10051i | 0.300638 | + | 0.425166i | |||||
25.7279 | − | 10.6569i | 1.34851 | − | 0.558571i | |||||
22.6066 | + | 1.60660i | 1.18328 | + | 0.0840934i | |||||
−4.63604 | + | 1.05025i | −0.242330 | + | 0.0548976i | |||||
−4.12132 | − | 1.70711i | −0.215131 | − | 0.0891102i | 0.272515 | − | 0.962151i | ||
−0.487646 | + | 0.873041i | ||||||||
−1.29289 | + | 3.12132i | −0.0673967 | + | 0.162710i | |||||
−3.63604 | + | 0.192388i | −0.189285 | + | 0.0100153i | |||||
−6.53553 | − | 0.464466i | −0.339766 | − | 0.0241464i | |||||
2.00000 | − | 4.82843i | 0.103835 | − | 0.250679i | |||||
0.707107 | − | 1.12132i | 0.0366618 | − | 0.0581378i | |||||
−11.2426 | − | 11.2426i | −0.582122 | − | 0.582122i | 0.353364 | − | 0.935486i | ||
−0.935486 | + | 0.353364i | ||||||||
−3.36396 | + | 8.84924i | −0.173946 | + | 0.457583i | |||||
19.3640 | − | 0.192388i | 0.999951 | − | 0.00993488i | |||||
−5.82843 | + | 5.82843i | −0.300578 | + | 0.300578i | |||||
0.757359 | + | 1.82843i | 0.0390060 | + | 0.0941688i | |||||
−18.1924 | + | 14.3640i | −0.935715 | + | 0.738802i | |||||
−34.0919 | − | 14.1213i | −1.75118 | − | 0.725364i | −0.997692 | − | 0.0679048i | ||
−0.753491 | − | 0.657459i | ||||||||
−3.24264 | − | 9.72792i | −0.166344 | − | 0.499032i | |||||
0.485281 | − | 2.82843i | 0.0248617 | − | 0.144905i | |||||
−17.6569 | −0.903403 | |||||||||
27.3137 | 1.39567 | 0.697833 | − | 0.716261i | ||||||
0.697833 | + | 0.716261i | ||||||||
−0.292893 | + | 1.70711i | −0.0149466 | + | 0.0871154i | |||||
10.2426 | − | 20.4853i | 0.522013 | − | 1.04403i | |||||
8.29289 | + | 3.43503i | 0.422097 | + | 0.174838i | |||||
−11.6569 | + | 32.9706i | −0.592551 | + | 1.67599i | |||||
−1.46447 | − | 3.53553i | −0.0743470 | − | 0.179490i | |||||
2.41421 | − | 2.41421i | 0.122405 | − | 0.122405i | −0.643250 | − | 0.765656i | ||
0.765656 | + | 0.643250i | ||||||||
3.65685 | + | 23.8995i | 0.185172 | + | 1.21020i | |||||
12.7071 | − | 5.70711i | 0.642626 | − | 0.288621i | |||||
9.12132 | + | 9.12132i | 0.460696 | + | 0.460696i | |||||
8.53553 | − | 13.5355i | 0.430561 | − | 0.682777i | |||||
1.05025 | − | 2.53553i | 0.0529110 | − | 0.127738i | |||||
−2.43503 | + | 34.2635i | −0.122520 | + | 1.72398i | |||||
0.363961 | + | 6.87868i | 0.0182897 | + | 0.345667i | |||||
4.26346 | − | 10.2929i | 0.213977 | − | 0.516586i | −0.780051 | − | 0.625716i | ||
0.994027 | + | 0.109131i | ||||||||
7.77817 | + | 3.22183i | 0.389885 | + | 0.161496i | |||||
34.5563 | − | 7.82843i | 1.72998 | − | 0.391912i | |||||
3.00000 | + | 4.00000i | 0.150000 | + | 0.200000i | |||||
1.94975 | − | 0.807612i | 0.0973657 | − | 0.0403302i | −0.333469 | − | 0.942761i | ||
0.430835 | + | 0.902431i | ||||||||
−6.24264 | − | 8.82843i | −0.311355 | − | 0.440322i | |||||
4.41421 | − | 1.82843i | 0.219888 | − | 0.0910804i | |||||
10.8284i | 0.538734i | |||||||||
−8.34315 | − | 18.3137i | −0.414574 | − | 0.910015i | |||||
−1.00000 | + | 1.00000i | −0.0496292 | + | 0.0496292i | |||||
−4.75736 | − | 4.75736i | −0.235814 | − | 0.235814i | |||||
5.70711 | − | 4.29289i | 0.282544 | − | 0.212530i | |||||
10.8284i | 0.535431i | 0.963498 | + | 0.267716i | ||||||
−0.963498 | + | 0.267716i | ||||||||
−2.70711 | − | 0.192388i | −0.133694 | − | 0.00950137i | |||||
−14.9706 | + | 10.5858i | −0.738443 | + | 0.522158i | |||||
−1.34315 | − | 1.34315i | −0.0661720 | − | 0.0661720i | |||||
15.4853 | + | 37.3848i | 0.761981 | + | 1.83958i | |||||
6.77817 | − | 7.53553i | 0.333129 | − | 0.370351i | |||||
−11.6569 | + | 23.3137i | −0.572212 | + | 1.14442i | |||||
−4.41421 | + | 4.41421i | −0.216425 | + | 0.216425i | |||||
11.9497 | + | 7.53553i | 0.585182 | + | 0.369017i | |||||
4.02944 | − | 9.72792i | 0.197086 | − | 0.475808i | |||||
−13.6066 | + | 5.63604i | −0.664726 | + | 0.275339i | −0.689426 | − | 0.724356i | ||
0.0246997 | + | 0.999695i | ||||||||
−14.7782 | + | 8.94975i | −0.721101 | + | 0.436703i | |||||
− | 38.1421i | − | 1.85893i | −0.368905 | − | 0.929467i | ||||
0.368905 | − | 0.929467i | ||||||||
−1.60660 | − | 3.87868i | −0.0782081 | − | 0.188811i | |||||
22.3137 | − | 10.6569i | 1.08493 | − | 0.518154i | |||||
1.17157i | 0.0568966i | |||||||||
2.31371 | − | 20.4853i | 0.112231 | − | 0.993682i | |||||
−9.05025 | − | 5.70711i | −0.438486 | − | 0.276510i | |||||
− | 12.2426i | − | 0.592463i | |||||||
−6.53553 | + | 2.70711i | −0.315907 | + | 0.130853i | |||||
−13.2426 | + | 21.0000i | −0.639361 | + | 1.01389i | |||||
−11.6569 | + | 23.3137i | −0.562143 | + | 1.12429i | |||||
13.3934 | + | 32.3345i | 0.645137 | + | 1.55750i | 0.819663 | + | 0.572847i | ||
−0.174525 | + | 0.984653i | ||||||||
2.53553 | − | 4.53553i | 0.121991 | − | 0.218216i | |||||
28.9706i | 1.39224i | 0.717927 | + | 0.696118i | ||||||
−0.717927 | + | 0.696118i | ||||||||
2.41421 | + | 2.41421i | 0.115886 | + | 0.115886i | |||||
−0.636039 | − | 1.05025i | −0.0304957 | − | 0.0503558i | |||||
−6.70711 | + | 2.77817i | −0.321212 | + | 0.133050i | |||||
−14.3137 | + | 5.92893i | −0.684718 | + | 0.283619i | |||||
−3.87868 | − | 17.1213i | −0.185330 | − | 0.818088i | |||||
−9.77817 | + | 23.6066i | −0.466687 | + | 1.12668i | 0.498914 | + | 0.866652i | ||
−0.965601 | + | 0.260030i | ||||||||
−0.363961 | + | 5.12132i | −0.0173512 | + | 0.244149i | |||||
−16.6777 | − | 34.9203i | −0.794175 | − | 1.66287i | |||||
25.7279 | − | 0.757359i | 1.22375 | − | 0.0360239i | |||||
22.0711 | − | 22.0711i | 1.04863 | − | 1.04863i | 0.0498725 | − | 0.998756i | ||
0.998756 | − | 0.0498725i | ||||||||
1.12132 | + | 4.94975i | 0.0532155 | + | 0.234905i | |||||
14.1421 | − | 28.2843i | 0.670402 | − | 1.34080i | |||||
−23.3137 | −1.10394 | |||||||||
37.7990 | + | 6.48528i | 1.78783 | + | 0.306743i | |||||
−4.12132 | − | 1.70711i | −0.194714 | − | 0.0806532i | |||||
4.19239 | + | 10.1213i | 0.197851 | + | 0.477655i | 0.991402 | − | 0.130849i | ||
−0.793551 | + | 0.608503i | ||||||||
−4.48528 | − | 14.3137i | −0.211438 | − | 0.674755i | |||||
−1.97056 | − | 1.97056i | −0.0927902 | − | 0.0927902i | |||||
−1.36396 | + | 3.29289i | −0.0641553 | + | 0.154885i | |||||
9.41421 | + | 13.3137i | 0.442318 | + | 0.625533i | |||||
4.53553 | + | 1.87868i | 0.212863 | + | 0.0881708i | |||||
−62.1127 | − | 4.41421i | −2.91189 | − | 0.206942i | |||||
−6.48528 | + | 4.58579i | −0.303701 | + | 0.214749i | |||||
9.65685i | 0.451729i | 0.974159 | + | 0.225864i | ||||||
−0.974159 | + | 0.225864i | ||||||||
−11.5858 | + | 11.5858i | −0.541368 | + | 0.541368i | |||||
−20.4350 | + | 6.43503i | −0.953825 | + | 0.300361i | |||||
5.70711 | − | 4.94975i | 0.266095 | − | 0.230783i | |||||
−19.7279 | − | 19.7279i | −0.918821 | − | 0.918821i | 0.0781228 | − | 0.996944i | ||
−0.996944 | + | 0.0781228i | ||||||||
−17.4853 | − | 3.00000i | −0.813489 | − | 0.139573i | |||||
8.17157 | − | 8.17157i | 0.379765 | − | 0.379765i | −0.491252 | − | 0.871017i | ||
0.871017 | + | 0.491252i | ||||||||
0.121320 | − | 0.292893i | 0.00563216 | − | 0.0135972i | |||||
−2.53553 | + | 1.53553i | −0.117583 | + | 0.0712087i | |||||
3.12132 | + | 7.53553i | 0.144592 | + | 0.349077i | |||||
− | 26.4853i | − | 1.22559i | −0.790241 | − | 0.612796i | ||||
0.790241 | − | 0.612796i | ||||||||
16.8995 | − | 8.07107i | 0.781179 | − | 0.373085i | |||||
25.7279 | − | 10.6569i | 1.18801 | − | 0.492088i | |||||
17.4853 | − | 5.82843i | 0.806536 | − | 0.268845i | |||||
−32.1421 | + | 22.7279i | −1.48103 | + | 1.04725i | |||||
−6.41421 | − | 6.41421i | −0.295238 | − | 0.295238i | |||||
−24.7279 | + | 10.2426i | −1.13699 | + | 0.470957i | |||||
25.9497 | − | 5.87868i | 1.19191 | − | 0.270017i | |||||
−3.24264 | + | 22.6985i | −0.148783 | + | 1.04148i | |||||
7.53553 | + | 16.7782i | 0.345391 | + | 0.769026i | |||||
1.17157 | − | 3.31371i | 0.0536426 | − | 0.151724i | |||||
−12.0000 | −0.548867 | |||||||||
20.3640 | + | 8.43503i | 0.930453 | + | 0.385406i | 0.795850 | − | 0.605493i | ||
0.134603 | + | 0.990900i | ||||||||
2.29289 | − | 3.12132i | 0.104656 | − | 0.142468i | |||||
−7.00000 | + | 16.8995i | −0.319173 | + | 0.770551i | |||||
1.36396 | + | 0.564971i | 0.0621267 | + | 0.0257337i | |||||
15.0711 | + | 21.3137i | 0.685757 | + | 0.969807i | |||||
4.05025 | − | 4.05025i | 0.184102 | − | 0.184102i | |||||
−0.606602 | + | 8.53553i | −0.0275444 | + | 0.387579i | |||||
−11.7071 | + | 10.2929i | −0.531045 | + | 0.466895i | |||||
−3.53553 | + | 8.53553i | −0.160210 | + | 0.386782i | −0.983517 | − | 0.180815i | ||
0.823307 | + | 0.567597i | ||||||||
1.05025 | + | 2.53553i | 0.0475427 | + | 0.114778i | |||||
12.8787 | + | 8.12132i | 0.582394 | + | 0.367259i | |||||
−9.12132 | − | 27.3640i | −0.412059 | − | 1.23618i | |||||
18.4142 | + | 18.4142i | 0.831022 | + | 0.831022i | 0.987657 | − | 0.156635i | ||
−0.156635 | + | 0.987657i | ||||||||
0.464466 | + | 2.05025i | 0.0209397 | + | 0.0924325i | |||||
−1.19239 | + | 0.535534i | −0.0537025 | + | 0.0241192i | |||||
−28.6274 | −1.28801 | |||||||||
6.15076 | − | 14.1213i | 0.276456 | − | 0.634706i | |||||
−0.707107 | − | 0.292893i | −0.0317500 | − | 0.0131513i | |||||
19.4853 | − | 19.4853i | 0.874034 | − | 0.874034i | |||||
19.8995 | + | 3.41421i | 0.891718 | + | 0.152995i | |||||
13.0208 | + | 31.4350i | 0.582892 | + | 1.40723i | 0.890180 | + | 0.455609i | ||
−0.307288 | + | 0.951616i | ||||||||
−2.00000 | − | 11.0000i | −0.0894427 | − | 0.491935i | |||||
6.15076 | − | 1.39340i | 0.274796 | − | 0.0622524i | |||||
9.17157 | 0.409347 | |||||||||
22.6066 | + | 9.36396i | 1.00798 | + | 0.417518i | 0.824717 | − | 0.565546i | ||
0.183262 | + | 0.983064i | ||||||||
9.94975 | + | 8.94975i | 0.443197 | + | 0.398653i | |||||
10.8284 | − | 21.6569i | 0.481859 | − | 0.963717i | |||||
7.75736 | 0.344857 | |||||||||
44.3345 | + | 7.60660i | 1.96897 | + | 0.337821i | |||||
−1.65685 | −0.0735110 | |||||||||
35.6569 | 1.58046 | 0.790231 | − | 0.612809i | ||||||
0.790231 | + | 0.612809i | ||||||||
−15.7071 | + | 2.87868i | −0.695522 | + | 0.127470i | |||||
45.2132 | 2.00011 | |||||||||
1.00000 | 0.0441942 | |||||||||
22.9289 | − | 6.48528i | 1.01234 | − | 0.286332i | |||||
3.17157 | 0.139892 | |||||||||
1.34315 | + | 4.02944i | 0.0591861 | + | 0.177558i | |||||
19.8995 | + | 3.41421i | 0.876026 | + | 0.150302i | |||||
17.4853 | + | 7.24264i | 0.769002 | + | 0.318531i | |||||
−13.0711 | −0.574310 | |||||||||
−6.29289 | − | 27.7782i | −0.276227 | − | 1.21933i | |||||
13.2426 | − | 4.41421i | 0.580728 | − | 0.193576i | |||||
9.70711 | + | 23.4350i | 0.425276 | + | 1.02671i | 0.980767 | + | 0.195184i | ||
−0.555490 | + | 0.831523i | ||||||||
−0.636039 | + | 0.707107i | −0.0278387 | + | 0.0309492i | |||||
−8.41421 | + | 8.41421i | −0.367928 | + | 0.367928i | −0.866721 | − | 0.498793i | ||
0.498793 | + | 0.866721i | ||||||||
−8.53553 | − | 3.53553i | −0.372877 | − | 0.154451i | |||||
38.5061 | − | 3.12132i | 1.68054 | − | 0.136226i | |||||
−8.00000 | −0.348817 | |||||||||
1.29289 | + | 2.87868i | 0.0563193 | + | 0.125397i | |||||
3.87868 | − | 0.878680i | 0.168798 | − | 0.0382396i | |||||
8.19239 | + | 8.19239i | 0.356191 | + | 0.356191i | |||||
1.17157 | − | 2.34315i | 0.0508899 | − | 0.101780i | |||||
11.7279 | + | 24.5563i | 0.508948 | + | 1.06565i | |||||
−7.82843 | − | 18.8995i | −0.339405 | − | 0.819397i | |||||
−2.89949 | + | 7.00000i | −0.125591 | + | 0.303204i | |||||
−24.1421 | − | 4.14214i | −1.04473 | − | 0.179248i | |||||
15.7782 | + | 1.12132i | 0.682150 | + | 0.0484789i | |||||
−4.41421 | + | 4.41421i | −0.190665 | + | 0.190665i | |||||
−2.48528 | + | 1.75736i | −0.107248 | + | 0.0758357i | |||||
−29.0919 | − | 12.0503i | −1.25424 | − | 0.519523i | |||||
11.3345 | − | 27.3640i | 0.488213 | − | 1.17865i | |||||
−9.60660 | + | 6.53553i | −0.413402 | + | 0.281245i | |||||
−36.5061 | − | 15.1213i | −1.56952 | − | 0.650116i | −0.582810 | − | 0.812609i | ||
−0.986710 | + | 0.162492i | ||||||||
−0.686292 | −0.0294787 | |||||||||
−1.60660 | − | 7.09188i | −0.0689459 | − | 0.304342i | |||||
−3.00000 | − | 2.82843i | −0.128624 | − | 0.121268i | |||||
16.1924 | + | 1.15076i | 0.693606 | + | 0.0492930i | |||||
10.6569 | + | 47.0416i | 0.456071 | + | 2.01320i | |||||
27.3640 | − | 11.3345i | 1.17000 | − | 0.484629i | 0.288806 | − | 0.957388i | ||
0.881192 | + | 0.472758i | ||||||||
7.48528 | + | 7.48528i | 0.319755 | + | 0.319755i | |||||
−0.435029 | − | 8.22183i | −0.0185666 | − | 0.350899i | |||||
5.84924 | − | 9.87868i | 0.249413 | − | 0.421228i | |||||
1.34315 | − | 0.556349i | 0.0572199 | − | 0.0237013i | |||||
−4.94975 | − | 3.12132i | −0.210675 | − | 0.132852i | |||||
68.5269i | 2.91406i | |||||||||
11.0919 | + | 26.7782i | 0.471249 | + | 1.13770i | |||||
2.70711 | − | 11.0208i | 0.114910 | − | 0.467808i | |||||
3.12132 | − | 7.53553i | 0.132373 | − | 0.319578i | |||||
−10.8995 | + | 10.8995i | −0.461826 | + | 0.461826i | −0.899254 | − | 0.437427i | ||
0.437427 | + | 0.899254i | ||||||||
1.70711 | + | 1.53553i | 0.0722676 | + | 0.0650043i | |||||
51.4558 | + | 51.4558i | 2.17635 | + | 2.17635i | |||||
6.53553 | + | 7.53553i | 0.276177 | + | 0.318434i | |||||
−14.1213 | − | 8.33452i | −0.596203 | − | 0.351884i | |||||
−2.51472 | + | 2.51472i | −0.106077 | + | 0.106077i | |||||
− | 5.02944i | − | 0.211966i | −0.994368 | − | 0.105983i | ||||
0.994368 | − | 0.105983i | ||||||||
−8.24264 | − | 11.6569i | −0.347078 | − | 0.490842i | |||||
6.02082 | − | 5.22183i | 0.253298 | − | 0.219684i | |||||
16.7782 | + | 6.94975i | 0.705239 | + | 0.292120i | |||||
−19.1924 | − | 35.2635i | −0.806005 | − | 1.48093i | |||||
−2.36396 | + | 5.70711i | −0.0991896 | + | 0.239465i | |||||
8.65685 | + | 8.65685i | 0.362914 | + | 0.362914i | 0.864885 | − | 0.501971i | ||
−0.501971 | + | 0.864885i | ||||||||
17.5563 | − | 2.68629i | 0.735355 | − | 0.112516i | |||||
−4.29289 | − | 10.3640i | −0.179652 | − | 0.433718i | 0.808242 | − | 0.588851i | ||
−0.987894 | + | 0.155133i | ||||||||
13.2426 | + | 5.48528i | 0.553703 | + | 0.229351i | |||||
5.17157 | − | 30.1421i | 0.216046 | − | 1.25921i | |||||
−5.41421 | −0.225985 | |||||||||
−16.3640 | + | 4.19239i | −0.682424 | + | 0.174835i | |||||
−2.82843 | − | 1.00000i | −0.117851 | − | 0.0416667i | |||||
−11.9706 | + | 11.9706i | −0.498341 | + | 0.498341i | −0.910921 | − | 0.412580i | ||
0.412580 | + | 0.910921i | ||||||||
1.00000 | + | 16.9706i | 0.0415945 | + | 0.705882i | |||||
−8.29289 | + | 13.1508i | −0.344641 | + | 0.546527i | |||||
−0.535534 | + | 0.464466i | −0.0222368 | + | 0.0192859i | |||||
−19.8995 | + | 48.0416i | −0.825570 | + | 1.99310i | |||||
6.46447 | − | 1.46447i | 0.267961 | − | 0.0607041i | |||||
2.48528 | − | 1.02944i | 0.102930 | − | 0.0426349i | |||||
−9.36396 | + | 3.87868i | −0.387483 | + | 0.160501i | |||||
−41.8701 | − | 0.757359i | −1.73111 | − | 0.0313130i | |||||
5.58579 | + | 5.58579i | 0.230747 | + | 0.230747i | |||||
− | 36.8284i | − | 1.52007i | −0.649881 | − | 0.760036i | ||||
0.649881 | − | 0.760036i | ||||||||
−18.2426 | + | 12.8995i | −0.752314 | + | 0.531966i | |||||
−1.34315 | − | 3.24264i | −0.0553434 | − | 0.133611i | |||||
6.41421 | + | 19.2426i | 0.264069 | + | 0.792207i | |||||
4.02082 | + | 2.53553i | 0.165394 | + | 0.104298i | |||||
2.70711 | − | 1.12132i | 0.111261 | − | 0.0460860i | |||||
− | 22.1421i | − | 0.909269i | −0.890678 | − | 0.454634i | ||||
0.890678 | − | 0.454634i | ||||||||
−11.8492 | − | 1.39340i | −0.486180 | − | 0.0571718i | |||||
1.70711 | − | 41.0919i | 0.0699846 | − | 1.68460i | |||||
− | 22.1421i | − | 0.906977i | |||||||
−7.77817 | + | 12.3345i | −0.318339 | + | 0.504818i | |||||
−8.07107 | − | 19.4853i | −0.330051 | − | 0.796812i | |||||
− | 14.9706i | − | 0.611681i | −0.952083 | − | 0.305840i | ||||
0.952083 | − | 0.305840i | ||||||||
−7.70711 | + | 3.94975i | −0.314641 | + | 0.161248i | |||||
−0.778175 | + | 0.322330i | −0.0317424 | + | 0.0131481i | −0.398498 | − | 0.917169i | ||
0.366756 | + | 0.930317i | ||||||||
−19.8995 | + | 48.0416i | −0.811043 | + | 1.95803i | |||||
16.8995 | − | 8.07107i | 0.688201 | − | 0.328679i | |||||
6.65685 | − | 6.65685i | 0.270864 | − | 0.270864i | |||||
−12.1508 | + | 4.05025i | −0.493999 | + | 0.164666i | |||||
−18.4853 | − | 3.17157i | −0.750913 | − | 0.128836i | |||||
1.19239 | + | 2.87868i | 0.0483975 | + | 0.116842i | 0.946229 | − | 0.323497i | ||
−0.897832 | + | 0.440339i | ||||||||
3.24264 | + | 3.24264i | 0.131506 | + | 0.131506i | |||||
−1.41421 | − | 2.00000i | −0.0573068 | − | 0.0810441i | |||||
0.435029 | − | 6.12132i | 0.0176138 | − | 0.247845i | |||||
− | 51.4558i | − | 2.08168i | |||||||
5.65685 | + | 11.0000i | 0.228665 | + | 0.444649i | |||||
−14.0711 | − | 14.0711i | −0.568325 | − | 0.568325i | 0.363334 | − | 0.931659i | ||
−0.931659 | + | 0.363334i | ||||||||
3.72792 | − | 3.72792i | 0.150447 | − | 0.150447i | |||||
1.12132 | − | 4.56497i | 0.0452160 | − | 0.184077i | |||||
10.2426i | 0.412688i | |||||||||
−40.4350 | + | 16.7487i | −1.62785 | + | 0.674279i | −0.994989 | − | 0.0999842i | ||
−0.632864 | + | 0.774263i | ||||||||
2.68629 | − | 1.89949i | 0.108058 | − | 0.0764089i | |||||
−20.6777 | + | 8.56497i | −0.831106 | + | 0.344255i | −0.757340 | − | 0.653020i | ||
−0.0737654 | + | 0.997276i | ||||||||
1.12132 | + | 1.29289i | 0.0450333 | + | 0.0519238i | |||||
10.8787 | + | 13.7782i | 0.436546 | + | 0.552899i | |||||
25.1924 | + | 10.4350i | 1.01012 | + | 0.418407i | |||||
24.1421 | − | 58.2843i | 0.967234 | − | 2.33511i | |||||
−6.24264 | − | 8.82843i | −0.249906 | − | 0.353420i | |||||
−7.00000 | + | 24.0000i | −0.280000 | + | 0.960000i | |||||
7.70711 | − | 18.6066i | 0.308038 | − | 0.743669i | |||||
15.4264 | + | 9.72792i | 0.616071 | + | 0.388496i | |||||
16.0711 | + | 16.0711i | 0.641305 | + | 0.641305i | |||||
−11.2929 | − | 4.29289i | −0.450277 | − | 0.171169i | |||||
−10.9497 | − | 27.8492i | −0.436248 | − | 1.10954i | |||||
−20.1716 | + | 20.1716i | −0.803018 | + | 0.803018i | −0.983566 | − | 0.180548i | ||
0.180548 | + | 0.983566i | ||||||||
−5.87868 | − | 14.1924i | −0.233841 | − | 0.564543i | |||||
7.09188 | − | 1.60660i | 0.281877 | − | 0.0638567i | |||||
−19.5355 | − | 8.09188i | −0.775855 | − | 0.321370i | |||||
3.31371 | + | 1.65685i | 0.131501 | + | 0.0657503i | |||||
−2.00000 | − | 0.343146i | −0.0793052 | − | 0.0136066i | |||||
−80.5269 | −3.19059 | |||||||||
−0.727922 | −0.0288187 | |||||||||
12.3934 | − | 13.7782i | 0.490275 | − | 0.545056i | |||||
−2.00000 | − | 1.00000i | −0.0790569 | − | 0.0395285i | |||||
3.94975 | + | 1.63604i | 0.156006 | + | 0.0646197i | 0.459320 | − | 0.888271i | ||
−0.303314 | + | 0.952891i | ||||||||
−2.70711 | − | 11.9497i | −0.106841 | − | 0.471619i | |||||
−10.3345 | − | 24.9497i | −0.407554 | − | 0.983922i | −0.985779 | − | 0.168045i | ||
0.578225 | − | 0.815877i | ||||||||
10.6569 | − | 10.6569i | 0.419939 | − | 0.419939i | |||||
−36.3848 | − | 26.7279i | −1.43265 | − | 1.05241i | |||||
−0.556349 | − | 18.8995i | −0.0218893 | − | 0.743591i | |||||
−15.3431 | − | 15.3431i | −0.603201 | − | 0.603201i | 0.337959 | − | 0.941161i | ||
−0.941161 | + | 0.337959i | ||||||||
7.00000 | + | 5.65685i | 0.274986 | + | 0.222222i | |||||
−7.97056 | + | 19.2426i | −0.312872 | + | 0.755340i | |||||
−30.8995 | − | 4.41421i | −1.21198 | − | 0.173140i | |||||
−4.82843 | + | 3.41421i | −0.189241 | + | 0.133814i | |||||
3.36396 | − | 8.12132i | 0.131743 | − | 0.318055i | |||||
25.7782 | + | 10.6777i | 1.00878 | + | 0.417849i | 0.825009 | − | 0.565120i | ||
0.183769 | + | 0.982969i | ||||||||
−2.77817 | − | 12.2635i | −0.108635 | − | 0.479539i | |||||
13.5355 | + | 15.6066i | 0.528877 | + | 0.609800i | |||||
1.12132 | − | 0.464466i | 0.0437802 | − | 0.0181344i | |||||
30.3640 | − | 1.60660i | 1.18461 | − | 0.0626795i | |||||
33.9706 | − | 14.0711i | 1.32431 | − | 0.548547i | |||||
17.5147i | 0.682277i | 0.940013 | + | 0.341138i | ||||||
−0.940013 | + | 0.341138i | ||||||||
−8.63604 | − | 2.12132i | −0.336157 | − | 0.0825723i | |||||
−6.41421 | + | 6.41421i | −0.249484 | + | 0.249484i | −0.820759 | − | 0.571275i | ||
0.571275 | + | 0.820759i | ||||||||
−4.41421 | − | 4.41421i | −0.171563 | − | 0.171563i | |||||
−6.24264 | + | 44.1421i | −0.242444 | + | 1.71434i | |||||
− | 11.6569i | − | 0.452374i | |||||||
−3.24264 | + | 45.6274i | −0.125744 | + | 1.76936i | |||||
−8.77817 | + | 0.464466i | −0.340147 | + | 0.0179977i | |||||
0.757359 | + | 0.757359i | 0.0293251 | + | 0.0293251i | |||||
−1.39340 | − | 3.36396i | −0.0539122 | − | 0.130156i | |||||
6.82843 | − | 39.7990i | 0.264002 | − | 1.53872i | |||||
13.2426 | − | 4.41421i | 0.511608 | − | 0.170536i | |||||
4.45584 | − | 4.45584i | 0.172016 | − | 0.172016i | |||||
4.12132 | − | 6.53553i | 0.158983 | − | 0.252114i | |||||
−0.636039 | + | 1.53553i | −0.0245175 | + | 0.0591905i | −0.935664 | − | 0.352892i | ||
0.911147 | + | 0.412082i | ||||||||
6.77817 | − | 2.80761i | 0.261086 | − | 0.108145i | |||||
25.7487 | − | 3.46447i | 0.991069 | − | 0.133347i | |||||
− | 25.9706i | − | 0.998868i | |||||||
1.19239 | + | 2.87868i | 0.0458272 | + | 0.110637i | 0.945136 | − | 0.326679i | ||
−0.899308 | + | 0.437315i | ||||||||
−5.22183 | − | 3.29289i | −0.200543 | − | 0.126463i | |||||
17.0711i | 0.655127i | |||||||||
3.17157 | + | 8.65685i | 0.121624 | + | 0.331975i | |||||
−4.53553 | + | 7.19239i | −0.173802 | + | 0.275613i | |||||
1.75736i | 0.0672928i | |||||||||
−41.8492 | + | 17.3345i | −1.60132 | + | 0.663287i | −0.991601 | − | 0.129333i | ||
−0.609716 | + | 0.792620i | ||||||||
−5.92893 | − | 12.4142i | −0.226698 | − | 0.474669i | |||||
−7.48528 | − | 22.4558i | −0.285998 | − | 0.857994i | |||||
−10.0711 | − | 24.3137i | −0.384515 | − | 0.928302i | |||||
−16.3848 | − | 23.1716i | −0.625118 | − | 0.884051i | |||||
− | 11.6569i | − | 0.444413i | |||||||
−5.17157 | − | 5.17157i | −0.197021 | − | 0.197021i | |||||
6.77817 | + | 11.1924i | 0.258041 | + | 0.426087i | |||||
−15.7071 | + | 6.50610i | −0.597527 | + | 0.247504i | −0.660885 | − | 0.750487i | ||
0.0633584 | + | 0.997991i | ||||||||
−15.1924 | + | 6.29289i | −0.577528 | + | 0.239220i | |||||
10.2426 | − | 28.9706i | 0.389086 | − | 1.10050i | |||||
−7.84924 | + | 18.9497i | −0.297953 | + | 0.719323i | |||||
−13.7782 | + | 11.9497i | −0.522636 | + | 0.453280i | |||||
0.464466 | + | 0.292893i | 0.0176055 | + | 0.0111021i | |||||
−4.67767 | − | 1.77817i | −0.177179 | − | 0.0673532i | |||||
−0.757359 | + | 0.757359i | −0.0286665 | + | 0.0286665i | |||||
−13.7782 | + | 3.12132i | −0.521138 | + | 0.118059i | |||||
−5.53553 | − | 21.6066i | −0.209224 | − | 0.816653i | |||||
−12.3431 | −0.466194 | −0.233097 | − | 0.972453i | ||||||
−0.233097 | + | 0.972453i | ||||||||
8.82843 | + | 31.2132i | 0.333208 | + | 1.17807i | |||||
12.4142 | + | 5.14214i | 0.468211 | + | 0.193939i | |||||
−0.878680 | − | 2.12132i | −0.0331165 | − | 0.0799503i | |||||
4.82843 | + | 31.5563i | 0.181849 | + | 1.18848i | |||||
−16.6569 | − | 16.6569i | −0.626889 | − | 0.626889i | |||||
18.4853 | − | 44.6274i | 0.695211 | − | 1.67839i | |||||
12.8284 | − | 9.07107i | 0.482122 | − | 0.340912i | |||||
−10.3640 | − | 4.29289i | −0.389227 | − | 0.161223i | 0.179483 | − | 0.983761i | ||
−0.568710 | + | 0.822538i | ||||||||
10.4350 | − | 9.05025i | 0.391620 | − | 0.339650i | |||||
2.43503 | + | 46.0208i | 0.0913207 | + | 1.72592i | |||||
14.1421i | 0.529999i | |||||||||
1.82843 | − | 1.82843i | 0.0684751 | − | 0.0684751i | |||||
−30.8492 | + | 7.94975i | −1.15450 | + | 0.297512i | |||||
−21.0000 | − | 24.2132i | −0.785355 | − | 0.905522i | |||||
1.24264 | + | 1.24264i | 0.0464397 | + | 0.0464397i | |||||
3.51472 | − | 20.4853i | 0.131260 | − | 0.765037i | |||||
8.65685 | − | 8.65685i | 0.323071 | − | 0.323071i | |||||
−15.3345 | + | 37.0208i | −0.571881 | + | 1.38064i | 0.328070 | + | 0.944653i | ||
−0.899951 | + | 0.435990i | ||||||||
4.65685 | + | 4.82843i | 0.173551 | + | 0.179945i | |||||
3.24264 | + | 7.82843i | 0.120762 | + | 0.291546i | |||||
2.02944i | 0.0755278i | |||||||||
−1.36396 | + | 2.16295i | −0.0507263 | + | 0.0804410i | |||||
−3.87868 | + | 1.60660i | −0.144150 | + | 0.0597089i | |||||
1.53553 | − | 0.393398i | 0.0570283 | − | 0.0146104i | |||||
5.72792 | + | 8.10051i | 0.212583 | + | 0.300638i | |||||
−20.6569 | − | 20.6569i | −0.766120 | − | 0.766120i | 0.211301 | − | 0.977421i | ||
−0.977421 | + | 0.211301i | ||||||||
25.7279 | − | 10.6569i | 0.953540 | − | 0.394969i | |||||
−14.1421 | − | 23.0000i | −0.523783 | − | 0.851852i | |||||
22.6066 | + | 1.60660i | 0.836708 | + | 0.0594630i | |||||
−32.9706 | + | 34.9706i | −1.21946 | + | 1.29343i | |||||
−4.63604 | + | 1.05025i | −0.171353 | + | 0.0388185i | |||||
47.2548 | 1.74540 | 0.872699 | − | 0.488259i | ||||||
0.872699 | + | 0.488259i | ||||||||
−4.12132 | − | 1.70711i | −0.152121 | − | 0.0630105i | |||||
49.3848 | − | 7.55635i | 1.82158 | − | 0.278720i | |||||
−1.29289 | + | 3.12132i | −0.0476567 | + | 0.115053i | |||||
13.2426 | + | 5.48528i | 0.487799 | + | 0.202053i | |||||
−3.63604 | + | 0.192388i | −0.133844 | + | 0.00708191i | |||||
13.9289 | − | 13.9289i | 0.512384 | − | 0.512384i | −0.402872 | − | 0.915256i | ||
0.915256 | + | 0.402872i | ||||||||
−6.53553 | − | 0.464466i | −0.240251 | − | 0.0170741i | |||||
8.38478 | − | 48.8701i | 0.308022 | − | 1.79529i | |||||
2.00000 | − | 4.82843i | 0.0734223 | − | 0.177257i | |||||
−13.1924 | − | 31.8492i | −0.483982 | − | 1.16844i | −0.957702 | − | 0.287760i | ||
0.473721 | − | 0.880675i | ||||||||
0.707107 | − | 1.12132i | 0.0259238 | − | 0.0411096i | |||||
−22.1421 | + | 44.2843i | −0.811225 | + | 1.62245i | |||||
−11.2426 | − | 11.2426i | −0.411622 | − | 0.411622i | |||||
−11.6569 | + | 32.9706i | −0.426502 | + | 1.20633i | |||||
−3.36396 | + | 8.84924i | −0.122999 | + | 0.323560i | |||||
31.5563 | 1.15304 | |||||||||
19.3640 | − | 0.192388i | 0.707072 | − | 0.00702502i | |||||
−5.05025 | − | 2.09188i | −0.184286 | − | 0.0763339i | 0.288632 | − | 0.957440i | ||
−0.472919 | + | 0.881106i | ||||||||
−5.82843 | + | 5.82843i | −0.212541 | + | 0.212541i | |||||
−2.68629 | + | 15.6569i | −0.0978939 | + | 0.570567i | |||||
0.757359 | + | 1.82843i | 0.0275814 | + | 0.0665874i | |||||
−19.9706 | + | 6.65685i | −0.726803 | + | 0.242268i | |||||
−18.1924 | + | 14.3640i | −0.661651 | + | 0.522412i | |||||
13.3137 | 0.483895 | 0.241947 | − | 0.970289i | ||||||
0.241947 | + | 0.970289i | ||||||||
−34.0919 | − | 14.1213i | −1.23827 | − | 0.512909i | |||||
−2.27208 | + | 13.2426i | −0.0824712 | + | 0.480677i | |||||
−3.24264 | − | 9.72792i | −0.117623 | − | 0.352869i | |||||
−26.9706 | −0.977682 | −0.488841 | − | 0.872373i | ||||||
−0.488841 | + | 0.872373i | ||||||||
0.485281 | − | 2.82843i | 0.0175799 | − | 0.102463i | |||||
32.3848 | 1.17241 | |||||||||
−17.6569 | −0.638803 | |||||||||
−0.313708 | − | 27.6569i | −0.0113422 | − | 0.999936i | |||||
27.3137 | 0.986884 | |||||||||
56.6274 | 2.04470 | |||||||||
−0.292893 | + | 1.70711i | −0.0105689 | + | 0.0615999i | |||||
−48.6274 | −1.75355 | −0.876775 | − | 0.480901i | ||||||
−0.876775 | + | 0.480901i | ||||||||
10.2426 | − | 20.4853i | 0.369119 | − | 0.738238i | |||||
−0.928932 | + | 5.41421i | −0.0334547 | + | 0.194988i | |||||
8.29289 | + | 3.43503i | 0.298468 | + | 0.123629i | |||||
−46.0000 | −1.65451 | −0.827253 | − | 0.561830i | ||||||
−0.827253 | + | 0.561830i | ||||||||
−11.6569 | + | 32.9706i | −0.418997 | + | 1.18510i | |||||
−0.949747 | − | 3.70711i | −0.0341159 | − | 0.133163i | |||||
−1.46447 | − | 3.53553i | −0.0525713 | − | 0.126918i | |||||
3.82843 | − | 22.3137i | 0.137344 | − | 0.800500i | |||||
2.41421 | − | 2.41421i | 0.0865537 | − | 0.0865537i | |||||
5.14214 | + | 2.12994i | 0.184236 | + | 0.0763131i | |||||
3.65685 | + | 23.8995i | 0.130936 | + | 0.855739i | |||||
14.1838 | 0.507535 | |||||||||
12.7071 | − | 5.70711i | 0.454405 | − | 0.204086i | |||||
−1.02082 | − | 1.29289i | −0.0364810 | − | 0.0462042i | |||||
9.12132 | + | 9.12132i | 0.325761 | + | 0.325761i | |||||
−16.0711 | − | 48.2132i | −0.573601 | − | 1.72080i | |||||
8.53553 | − | 13.5355i | 0.304452 | − | 0.482797i | |||||
−8.67767 | − | 20.9497i | −0.309326 | − | 0.746778i | −0.999727 | − | 0.0233517i | ||
0.690402 | − | 0.723426i | ||||||||
1.05025 | − | 2.53553i | 0.0374137 | − | 0.0903247i | |||||
2.34315 | − | 13.6569i | 0.0834182 | − | 0.486197i | |||||
−2.43503 | + | 34.2635i | −0.0866344 | + | 1.21904i | |||||
11.2426 | − | 11.2426i | 0.399742 | − | 0.399742i | |||||
0.363961 | + | 6.87868i | 0.0129328 | + | 0.244423i | |||||
−15.8284 | − | 6.55635i | −0.562084 | − | 0.232823i | |||||
4.26346 | − | 10.2929i | 0.151304 | − | 0.365281i | |||||
3.65685 | + | 2.68629i | 0.129695 | + | 0.0952729i | |||||
7.77817 | + | 3.22183i | 0.275690 | + | 0.114195i | |||||
−8.34315 | −0.295529 | −0.147765 | − | 0.989023i | ||||||
−0.147765 | + | 0.989023i | ||||||||
34.5563 | − | 7.82843i | 1.22328 | − | 0.277123i | |||||
33.9706 | − | 1.00000i | 1.20179 | − | 0.0353775i | |||||
3.00000 | + | 4.00000i | 0.106066 | + | 0.141421i | |||||
14.1421 | − | 40.0000i | 0.499688 | − | 1.41333i | |||||
1.94975 | − | 0.807612i | 0.0688480 | − | 0.0285178i | |||||
16.4558 | + | 16.4558i | 0.580714 | + | 0.580714i | |||||
−6.24264 | − | 8.82843i | −0.220161 | − | 0.311355i | |||||
−31.9706 | + | 10.6569i | −1.12681 | + | 0.375605i | |||||
4.41421 | − | 1.82843i | 0.155484 | − | 0.0644036i | |||||
29.0919 | − | 46.1335i | 1.02408 | − | 1.62398i | |||||
10.8284i | 0.380943i | |||||||||
11.7071 | + | 28.2635i | 0.411600 | + | 0.993690i | 0.984708 | + | 0.174211i | ||
−0.573108 | + | 0.819480i | ||||||||
−8.34315 | − | 18.3137i | −0.293148 | − | 0.643478i | |||||
1.80761 | − | 4.36396i | 0.0634738 | − | 0.153239i | −0.888960 | − | 0.457985i | ||
0.952434 | + | 0.304745i | ||||||||
−1.00000 | + | 1.00000i | −0.0350931 | + | 0.0350931i | |||||
0.201010 | − | 1.17157i | 0.00704973 | − | 0.0410889i | |||||
−4.75736 | − | 4.75736i | −0.166745 | − | 0.166745i | |||||
−14.8492 | + | 12.8787i | −0.520146 | + | 0.451120i | |||||
5.70711 | − | 4.29289i | 0.199789 | − | 0.150281i | |||||
37.7990 | − | 37.7990i | 1.32242 | − | 1.32242i | |||||
10.8284i | 0.378607i | |||||||||
−83.4264 | + | 4.41421i | −2.91515 | + | 0.154245i | |||||
−2.70711 | − | 0.192388i | −0.0945363 | − | 0.00671849i | |||||
31.3345 | + | 12.9792i | 1.09358 | + | 0.452977i | 0.855255 | − | 0.518208i | ||
0.238328 | + | 0.971185i | ||||||||
−14.9706 | + | 10.5858i | −0.522158 | + | 0.369222i | |||||
17.7782 | − | 42.9203i | 0.619708 | − | 1.49611i | −0.232335 | − | 0.972636i | ||
0.852043 | − | 0.523472i | ||||||||
−1.34315 | − | 1.34315i | −0.0467907 | − | 0.0467907i | |||||
15.1508 | + | 12.8787i | 0.527482 | + | 0.448378i | |||||
15.4853 | + | 37.3848i | 0.538802 | + | 1.30078i | |||||
20.1924 | + | 8.36396i | 0.702158 | + | 0.290843i | 0.705055 | − | 0.709152i | ||
−0.00289711 | + | 0.999996i | ||||||||
6.77817 | − | 7.53553i | 0.235558 | − | 0.261878i | |||||
−20.3431 | −0.706547 | −0.353273 | − | 0.935520i | ||||||
−0.353273 | + | 0.935520i | ||||||||
−11.6569 | + | 23.3137i | −0.404615 | + | 0.809231i | |||||
−48.9619 | + | 11.0919i | −1.69847 | + | 0.384773i | |||||
−4.41421 | + | 4.41421i | −0.153035 | + | 0.153035i | |||||
−1.56497 | − | 53.1630i | −0.0542230 | − | 1.84199i | |||||
11.9497 | + | 7.53553i | 0.413786 | + | 0.260934i | |||||
−0.577164 | + | 8.12132i | −0.0199736 | + | 0.281050i | |||||
4.02944 | − | 9.72792i | 0.139361 | − | 0.336447i | |||||
−3.12132 | + | 2.46447i | −0.107889 | + | 0.0851844i | |||||
−13.6066 | + | 5.63604i | −0.470032 | + | 0.194694i | |||||
−38.0208 | + | 15.7487i | −1.31262 | + | 0.543707i | −0.925649 | − | 0.378383i | ||
−0.386975 | + | 0.922090i | ||||||||
−14.7782 | + | 8.94975i | −0.509895 | + | 0.308796i | |||||
20.4350 | + | 20.4350i | 0.704656 | + | 0.704656i | |||||
− | 38.1421i | − | 1.31446i | |||||||
−3.55635 | − | 5.02944i | −0.122487 | − | 0.173223i | |||||
−1.60660 | − | 3.87868i | −0.0553015 | − | 0.133510i | |||||
−25.9706 | + | 51.9411i | −0.893415 | + | 1.78683i | |||||
22.3137 | − | 10.6569i | 0.767161 | − | 0.366390i | |||||
−23.6066 | + | 9.77817i | −0.811132 | + | 0.335982i | |||||
1.17157i | 0.0402320i | |||||||||
−16.7782 | + | 26.6066i | −0.575825 | + | 0.913136i | |||||
2.31371 | − | 20.4853i | 0.0793595 | − | 0.702639i | |||||
9.89949i | 0.339350i | |||||||||
−9.05025 | − | 5.70711i | −0.310057 | − | 0.195522i | |||||
3.92031 | + | 9.46447i | 0.134229 | + | 0.324057i | 0.976675 | − | 0.214724i | ||
−0.842446 | + | 0.538781i | ||||||||
− | 12.2426i | − | 0.418935i | |||||||
−0.556349 | + | 30.7574i | −0.0190267 | + | 1.05188i | |||||
−6.53553 | + | 2.70711i | −0.223380 | + | 0.0925270i | |||||
−18.3345 | + | 44.2635i | −0.626295 | + | 1.51201i | 0.217898 | + | 0.975972i | ||
−0.844193 | + | 0.536039i | ||||||||
−13.2426 | + | 21.0000i | −0.452096 | + | 0.716928i | |||||
−17.7279 | + | 17.7279i | −0.604869 | + | 0.604869i | −0.941601 | − | 0.336732i | ||
0.336732 | + | 0.941601i | ||||||||
−11.6569 | + | 23.3137i | −0.397495 | + | 0.794991i | |||||
1.58579 | − | 9.24264i | 0.0540435 | − | 0.314988i | |||||
13.3934 | + | 32.3345i | 0.456181 | + | 1.10132i | |||||
6.51472 | + | 6.51472i | 0.221764 | + | 0.221764i | 0.809241 | − | 0.587477i | ||
−0.587477 | + | 0.809241i | ||||||||
2.53553 | − | 4.53553i | 0.0862606 | − | 0.154302i | |||||
36.6777 | + | 2.60660i | 1.24708 | + | 0.0886271i | |||||
28.9706i | 0.984460i | |||||||||
−29.2635 | − | 3.26346i | −0.993839 | − | 0.110833i | |||||
2.41421 | + | 2.41421i | 0.0819437 | + | 0.0819437i | |||||
−24.9411 | + | 24.9411i | −0.846070 | + | 0.846070i | |||||
−0.636039 | − | 1.05025i | −0.0215637 | − | 0.0356069i | |||||
− | 38.9706i | − | 1.32047i | |||||||
−6.70711 | + | 2.77817i | −0.227131 | + | 0.0940809i | |||||
0.606602 | + | 11.4645i | 0.0205304 | + | 0.388013i | |||||
−14.3137 | + | 5.92893i | −0.484168 | + | 0.200549i | |||||
−10.5355 | + | 48.7487i | −0.356166 | + | 1.64801i | |||||
−3.87868 | − | 17.1213i | −0.131048 | − | 0.578476i | |||||
−40.7487 | − | 16.8787i | −1.37599 | − | 0.569953i | −0.432582 | − | 0.901595i | ||
−0.943405 | + | 0.331642i | ||||||||
−9.77817 | + | 23.6066i | −0.329997 | + | 0.796684i | |||||
−11.1716 | + | 7.89949i | −0.376808 | + | 0.266443i | |||||
−0.363961 | + | 5.12132i | −0.0122691 | + | 0.172640i | |||||
2.73654 | − | 6.60660i | 0.0921965 | − | 0.222582i | −0.871054 | − | 0.491188i | ||
0.963250 | + | 0.268606i | ||||||||
−16.6777 | − | 34.9203i | −0.561566 | − | 1.17583i | |||||
−18.8995 | − | 18.8995i | −0.636019 | − | 0.636019i | 0.313552 | − | 0.949571i | ||
−0.949571 | + | 0.313552i | ||||||||
25.7279 | − | 0.757359i | 0.865324 | − | 0.0254728i | |||||
−34.7279 | + | 5.31371i | −1.16737 | + | 0.178618i | |||||
22.0711 | − | 22.0711i | 0.741492 | − | 0.741492i | |||||
1.92031 | + | 4.63604i | 0.0644777 | + | 0.155663i | 0.952834 | − | 0.303492i | ||
−0.888356 | + | 0.459155i | ||||||||
1.12132 | + | 4.94975i | 0.0376290 | + | 0.166103i | |||||
6.82843 | + | 2.82843i | 0.229018 | + | 0.0948624i | |||||
14.1421 | − | 28.2843i | 0.474045 | − | 0.948091i | |||||
5.84924 | − | 19.8198i | 0.195957 | − | 0.663988i | |||||
−23.3137 | −0.780601 | |||||||||
−37.7990 | −1.26489 | |||||||||
37.7990 | + | 6.48528i | 1.26419 | + | 0.216900i | |||||
−1.24264 | − | 3.72792i | −0.0415369 | − | 0.124611i | |||||
−4.12132 | − | 1.70711i | −0.137684 | − | 0.0570304i | |||||
35.6274 | − | 8.07107i | 1.18956 | − | 0.269485i | |||||
4.19239 | + | 10.1213i | 0.139902 | + | 0.337753i | |||||
−0.171573 | + | 0.171573i | −0.00572228 | + | 0.00572228i | |||||
−4.48528 | − | 14.3137i | −0.149509 | − | 0.477124i | |||||
3.31371 | − | 3.51472i | 0.110396 | − | 0.117092i | |||||
−1.97056 | − | 1.97056i | −0.0656126 | − | 0.0656126i | |||||
−76.1838 | − | 48.0416i | −2.53524 | − | 1.59873i | |||||
−1.36396 | + | 3.29289i | −0.0453647 | + | 0.109520i | |||||
9.36396 | + | 0.665476i | 0.311269 | + | 0.0221212i | |||||
9.41421 | + | 13.3137i | 0.312766 | + | 0.442318i | |||||
−17.3223 | + | 41.8198i | −0.575179 | + | 1.38860i | 0.321917 | + | 0.946768i | ||
−0.897096 | + | 0.441836i | ||||||||
4.53553 | + | 1.87868i | 0.150517 | + | 0.0623462i | |||||
10.8284 | − | 30.6274i | 0.359156 | − | 1.01585i | |||||
−62.1127 | − | 4.41421i | −2.05902 | − | 0.146330i | |||||
−5.87868 | + | 2.43503i | −0.194769 | + | 0.0806761i | −0.477936 | − | 0.878395i | ||
0.283167 | + | 0.959071i | ||||||||
−6.48528 | + | 4.58579i | −0.214749 | + | 0.151851i | |||||
−24.7279 | + | 10.2426i | −0.818375 | + | 0.338982i | |||||
9.65685i | 0.319420i | |||||||||
10.3223 | + | 2.53553i | 0.341246 | + | 0.0838222i | |||||
−11.5858 | + | 11.5858i | −0.382805 | + | 0.382805i | |||||
29.1421 | + | 29.1421i | 0.962358 | + | 0.962358i | |||||
−20.4350 | + | 6.43503i | −0.674456 | + | 0.212388i | |||||
− | 18.6863i | − | 0.616404i | −0.951321 | − | 0.308202i | ||||
0.951321 | − | 0.308202i | ||||||||
5.70711 | − | 4.94975i | 0.188158 | − | 0.163188i | |||||
5.27208 | + | 7.45584i | 0.173721 | + | 0.245678i | |||||
−19.7279 | − | 19.7279i | −0.649705 | − | 0.649705i | |||||
−14.7574 | − | 35.6274i | −0.485744 | − | 1.17269i | |||||
−17.4853 | − | 3.00000i | −0.575224 | − | 0.0986928i | |||||
12.6066 | + | 7.46447i | 0.414503 | + | 0.245430i | |||||
8.17157 | − | 8.17157i | 0.268535 | − | 0.268535i | |||||
2.45584 | + | 5.14214i | 0.0806605 | + | 0.168890i | |||||
0.121320 | − | 0.292893i | 0.00398254 | − | 0.00961469i | |||||
−23.0208 | + | 9.53553i | −0.755288 | + | 0.312851i | −0.726897 | − | 0.686746i | ||
−0.0283911 | + | 0.999597i | ||||||||
−2.53553 | + | 1.53553i | −0.0831434 | + | 0.0503521i | |||||
59.1543i | 1.93870i | |||||||||
3.12132 | + | 7.53553i | 0.102242 | + | 0.246835i | |||||
−25.1924 | + | 39.9497i | −0.824762 | + | 1.30790i | |||||
− | 26.4853i | − | 0.866625i | |||||||
15.5772 | − | 14.3345i | 0.509428 | − | 0.468789i | |||||
16.8995 | − | 8.07107i | 0.552377 | − | 0.263811i | |||||
− | 17.6569i | − | 0.576824i | −0.957506 | − | 0.288412i | ||||
0.957506 | − | 0.288412i | ||||||||
25.7279 | − | 10.6569i | 0.840046 | − | 0.347959i | |||||
29.5061 | + | 18.6066i | 0.962895 | + | 0.607203i | |||||
17.4853 | − | 5.82843i | 0.570307 | − | 0.190102i | |||||
3.29289 | + | 7.94975i | 0.107345 | + | 0.259154i | 0.968420 | − | 0.249324i | ||
−0.861075 | + | 0.508478i | ||||||||
−32.1421 | + | 22.7279i | −1.04725 | + | 0.740516i | |||||
4.10051i | 0.133531i | |||||||||
−6.41421 | − | 6.41421i | −0.208765 | − | 0.208765i | |||||
50.7487 | − | 10.5355i | 1.65086 | − | 0.342721i | |||||
−24.7279 | + | 10.2426i | −0.803974 | + | 0.333017i | |||||
4.29289 | − | 1.77817i | 0.139500 | − | 0.0577829i | −0.311841 | − | 0.950134i | ||
0.451341 | + | 0.892351i | ||||||||
25.9497 | − | 5.87868i | 0.842809 | − | 0.190931i | |||||
24.2132 | − | 58.4558i | 0.785994 | − | 1.89756i | |||||
−3.24264 | + | 22.6985i | −0.105205 | + | 0.736436i | |||||
19.5355 | − | 30.9792i | 0.633483 | − | 1.00457i | |||||
7.53553 | + | 16.7782i | 0.244228 | + | 0.543784i | |||||
29.2843 | − | 29.2843i | 0.948611 | − | 0.948611i | −0.0501320 | − | 0.998743i | ||
0.998743 | + | 0.0501320i | ||||||||
1.17157 | − | 3.31371i | 0.0379311 | − | 0.107285i | |||||
35.3137 | + | 17.6569i | 1.14272 | + | 0.571362i | |||||
−12.0000 | −0.388108 | |||||||||
0.213203 | − | 1.24264i | 0.00689189 | − | 0.0401689i | |||||
20.3640 | + | 8.43503i | 0.657930 | + | 0.272523i | |||||
−18.0711 | − | 43.6274i | −0.583545 | − | 1.40880i | |||||
2.29289 | − | 3.12132i | 0.0740028 | − | 0.100740i | |||||
−21.5061 | − | 21.5061i | −0.693745 | − | 0.693745i | |||||
−7.00000 | + | 16.8995i | −0.225689 | + | 0.544862i | |||||
21.1924 | − | 1.12132i | 0.682915 | − | 0.0361340i | |||||
1.36396 | + | 0.564971i | 0.0439302 | + | 0.0181965i | |||||
−13.1508 | − | 15.1630i | −0.423338 | − | 0.488113i | |||||
15.0711 | + | 21.3137i | 0.484904 | + | 0.685757i | |||||
− | 23.9411i | − | 0.769895i | −0.922939 | − | 0.384947i | ||||
0.922939 | − | 0.384947i | ||||||||
4.05025 | − | 4.05025i | 0.130180 | − | 0.130180i | |||||
32.4264 | + | 4.58579i | 1.04169 | + | 0.147317i | |||||
−0.606602 | + | 8.53553i | −0.0194768 | + | 0.274059i | |||||
7.72792 | + | 7.72792i | 0.248001 | + | 0.248001i | 0.820150 | − | 0.572149i | ||
−0.572149 | + | 0.820150i | ||||||||
−11.7071 | + | 10.2929i | −0.375506 | + | 0.330145i | |||||
−25.7279 | + | 25.7279i | −0.824799 | + | 0.824799i | |||||
−3.53553 | + | 8.53553i | −0.113286 | + | 0.273496i | |||||
16.5858 | − | 51.4558i | 0.531170 | − | 1.64791i | |||||
1.05025 | + | 2.53553i | 0.0336178 | + | 0.0811605i | |||||
− | 6.54416i | − | 0.209366i | −0.994506 | − | 0.104683i | ||||
0.994506 | − | 0.104683i | ||||||||
12.8787 | + | 8.12132i | 0.411815 | + | 0.259691i | |||||
30.0000 | − | 12.4264i | 0.958804 | − | 0.397150i | |||||
−9.12132 | − | 27.3640i | −0.291370 | − | 0.874110i | |||||
21.7487 | − | 1.15076i | 0.694384 | − | 0.0367409i | |||||
18.4142 | + | 18.4142i | 0.587621 | + | 0.587621i | |||||
37.6777 | − | 15.6066i | 1.20173 | − | 0.497773i | 0.310173 | − | 0.950680i | ||
0.891558 | + | 0.452907i | ||||||||
0.464466 | + | 2.05025i | 0.0148066 | + | 0.0653597i | |||||
−4.63604 | + | 4.02082i | −0.147716 | + | 0.128114i | |||||
−1.19239 | + | 0.535534i | −0.0379734 | + | 0.0170549i | |||||
14.0711 | + | 62.1127i | 0.447887 | + | 1.97707i | |||||
−28.6274 | −0.910759 | |||||||||
36.3848 | + | 15.0711i | 1.15697 | + | 0.479232i | |||||
6.15076 | − | 14.1213i | 0.195484 | − | 0.448805i | |||||
−5.77817 | + | 13.9497i | −0.183550 | + | 0.443128i | −0.988693 | − | 0.149952i | ||
0.805144 | + | 0.593080i | ||||||||
−0.707107 | − | 0.292893i | −0.0224507 | − | 0.00929937i | |||||
8.82843 | − | 6.24264i | 0.280162 | − | 0.198104i | |||||
19.4853 | − | 19.4853i | 0.618036 | − | 0.618036i | |||||
−12.3345 | − | 14.2218i | −0.391031 | − | 0.450862i | |||||
19.8995 | + | 3.41421i | 0.630540 | + | 0.108183i | |||||
23.0919 | − | 55.7487i | 0.731327 | − | 1.76558i | 0.0932026 | − | 0.995647i | ||
0.638125 | − | 0.769933i | ||||||||
13.0208 | + | 31.4350i | 0.412167 | + | 0.995058i | |||||
1.77817 | − | 15.1213i | 0.0562590 | − | 0.478417i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 510.2.w.b.383.1 | yes | 4 | |
3.2 | odd | 2 | 510.2.w.a.383.1 | yes | 4 | ||
5.2 | odd | 4 | 510.2.z.a.77.1 | yes | 4 | ||
15.2 | even | 4 | 510.2.z.b.77.1 | yes | 4 | ||
17.2 | even | 8 | 510.2.z.b.53.1 | yes | 4 | ||
51.2 | odd | 8 | 510.2.z.a.53.1 | yes | 4 | ||
85.2 | odd | 8 | 510.2.w.a.257.1 | ✓ | 4 | ||
255.2 | even | 8 | inner | 510.2.w.b.257.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
510.2.w.a.257.1 | ✓ | 4 | 85.2 | odd | 8 | ||
510.2.w.a.383.1 | yes | 4 | 3.2 | odd | 2 | ||
510.2.w.b.257.1 | yes | 4 | 255.2 | even | 8 | inner | |
510.2.w.b.383.1 | yes | 4 | 1.1 | even | 1 | trivial | |
510.2.z.a.53.1 | yes | 4 | 51.2 | odd | 8 | ||
510.2.z.a.77.1 | yes | 4 | 5.2 | odd | 4 | ||
510.2.z.b.53.1 | yes | 4 | 17.2 | even | 8 | ||
510.2.z.b.77.1 | yes | 4 | 15.2 | even | 4 |