Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,6,Mod(67,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("294.67");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 294.e (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 67.2 | ||
Root | of defining polynomial | ||
Character | 294.67 | ||
Dual form | 294.6.e.z.79.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
2.00000 | + | 3.46410i | 0.353553 | + | 0.612372i | |||||
4.50000 | − | 7.79423i | 0.288675 | − | 0.500000i | |||||
−8.00000 | + | 13.8564i | −0.250000 | + | 0.433013i | |||||
51.7487 | + | 89.6314i | 0.925710 | + | 1.60338i | 0.790416 | + | 0.612570i | ||
0.135294 | + | 0.990806i | ||||||||
36.0000 | 0.408248 | |||||||||
0 | 0 | |||||||||
−64.0000 | −0.353553 | |||||||||
−40.5000 | − | 70.1481i | −0.166667 | − | 0.288675i | |||||
−206.995 | + | 358.526i | −0.654576 | + | 1.13376i | |||||
−120.095 | + | 208.011i | −0.299257 | + | 0.518329i | −0.975966 | − | 0.217922i | ||
0.676709 | + | 0.736251i | ||||||||
72.0000 | + | 124.708i | 0.144338 | + | 0.250000i | |||||
−805.477 | −1.32189 | −0.660944 | − | 0.750435i | ||||||
−0.660944 | + | 0.750435i | ||||||||
0 | 0 | |||||||||
931.477 | 1.06892 | |||||||||
−128.000 | − | 221.703i | −0.125000 | − | 0.216506i | |||||
−646.633 | + | 1120.00i | −0.542670 | + | 0.939932i | 0.456080 | + | 0.889939i | ||
−0.998750 | + | 0.0499927i | ||||||||
162.000 | − | 280.592i | 0.117851 | − | 0.204124i | |||||
−137.688 | − | 238.483i | −0.0875011 | − | 0.151556i | 0.818953 | − | 0.573860i | ||
−0.906454 | + | 0.422304i | ||||||||
−1655.96 | −0.925710 | |||||||||
0 | 0 | |||||||||
−960.764 | −0.423214 | |||||||||
−1898.29 | − | 3287.93i | −0.748242 | − | 1.29599i | −0.948665 | − | 0.316284i | ||
0.200423 | − | 0.979710i | ||||||||
−288.000 | + | 498.831i | −0.102062 | + | 0.176777i | |||||
−3793.36 | + | 6570.30i | −1.21388 | + | 2.10250i | |||||
−1610.95 | − | 2790.26i | −0.467358 | − | 0.809488i | |||||
−729.000 | −0.192450 | |||||||||
0 | 0 | |||||||||
1227.52 | 0.271040 | 0.135520 | − | 0.990775i | ||||||
0.135520 | + | 0.990775i | ||||||||
1862.95 | + | 3226.73i | 0.377919 | + | 0.654576i | |||||
2812.43 | − | 4871.27i | 0.525627 | − | 0.910413i | −0.473927 | − | 0.880564i | ||
0.999554 | − | 0.0298489i | ||||||||
512.000 | − | 886.810i | 0.0883883 | − | 0.153093i | |||||
1080.86 | + | 1872.10i | 0.172776 | + | 0.299257i | |||||
−5173.06 | −0.767451 | |||||||||
0 | 0 | |||||||||
1296.00 | 0.166667 | |||||||||
4539.25 | + | 7862.20i | 0.545104 | + | 0.944148i | 0.998600 | + | 0.0528897i | ||
−0.453496 | + | 0.891258i | ||||||||
550.754 | − | 953.933i | 0.0618726 | − | 0.107166i | |||||
−3624.65 | + | 6278.07i | −0.381596 | + | 0.660944i | |||||
−3311.92 | − | 5736.41i | −0.327288 | − | 0.566879i | |||||
18207.4 | 1.69156 | 0.845782 | − | 0.533528i | ||||||
0.845782 | + | 0.533528i | ||||||||
0 | 0 | |||||||||
−11708.2 | −0.965650 | −0.482825 | − | 0.875717i | ||||||
−0.482825 | + | 0.875717i | ||||||||
−1921.53 | − | 3328.18i | −0.149629 | − | 0.259164i | |||||
4191.65 | − | 7260.15i | 0.308570 | − | 0.534459i | |||||
7593.15 | − | 13151.7i | 0.529087 | − | 0.916406i | |||||
−11524.3 | − | 19960.7i | −0.760974 | − | 1.31805i | −0.942349 | − | 0.334632i | ||
0.181375 | − | 0.983414i | ||||||||
−2304.00 | −0.144338 | |||||||||
0 | 0 | |||||||||
−30346.9 | −1.71668 | |||||||||
5819.70 | + | 10080.0i | 0.313311 | + | 0.542670i | |||||
6443.82 | − | 11161.0i | 0.330472 | − | 0.572395i | |||||
−8831.40 | + | 15296.4i | −0.431857 | + | 0.747998i | −0.997033 | − | 0.0769720i | ||
0.565176 | + | 0.824970i | ||||||||
−1458.00 | − | 2525.33i | −0.0680414 | − | 0.117851i | |||||
−24859.2 | −1.10810 | |||||||||
0 | 0 | |||||||||
−2478.39 | −0.101038 | |||||||||
2455.04 | + | 4252.25i | 0.0958270 | + | 0.165977i | |||||
9188.15 | − | 15914.3i | 0.343636 | − | 0.595194i | −0.641469 | − | 0.767149i | ||
0.985105 | + | 0.171954i | ||||||||
−7451.82 | + | 12906.9i | −0.267229 | + | 0.462855i | |||||
5662.04 | + | 9806.95i | 0.194827 | + | 0.337450i | 0.946844 | − | 0.321694i | ||
−0.752017 | + | 0.659144i | ||||||||
22499.5 | 0.743349 | |||||||||
0 | 0 | |||||||||
4096.00 | 0.125000 | |||||||||
−41682.4 | − | 72196.1i | −1.22369 | − | 2.11948i | |||||
−4323.44 | + | 7488.41i | −0.122171 | + | 0.211607i | |||||
−18039.7 | + | 31245.6i | −0.490955 | + | 0.850359i | −0.999946 | − | 0.0104130i | ||
0.508991 | + | 0.860772i | ||||||||
−10346.1 | − | 17920.0i | −0.271335 | − | 0.469966i | |||||
−34169.2 | −0.863996 | |||||||||
0 | 0 | |||||||||
−63434.2 | −1.49341 | −0.746703 | − | 0.665158i | ||||||
−0.746703 | + | 0.665158i | ||||||||
2592.00 | + | 4489.48i | 0.0589256 | + | 0.102062i | |||||
−26491.2 | + | 45884.1i | −0.581828 | + | 1.00776i | 0.413435 | + | 0.910534i | ||
−0.995263 | + | 0.0972215i | ||||||||
−18157.0 | + | 31448.8i | −0.385447 | + | 0.667613i | |||||
34140.3 | + | 59132.7i | 0.700832 | + | 1.21388i | |||||
4406.03 | 0.0875011 | |||||||||
0 | 0 | |||||||||
−28997.2 | −0.539659 | |||||||||
24282.0 | + | 42057.7i | 0.437741 | + | 0.758189i | 0.997515 | − | 0.0704561i | ||
−0.559774 | + | 0.828645i | ||||||||
13247.7 | − | 22945.6i | 0.231427 | − | 0.400844i | |||||
−3280.50 | + | 5681.99i | −0.0555556 | + | 0.0962250i | |||||
36414.8 | + | 63072.3i | 0.598058 | + | 1.03587i | |||||
−113161. | −1.80303 | −0.901513 | − | 0.432753i | ||||||
−0.901513 | + | 0.432753i | ||||||||
0 | 0 | |||||||||
−133850. | −2.00942 | |||||||||
−23416.4 | − | 40558.5i | −0.341409 | − | 0.591337i | |||||
5523.83 | − | 9567.56i | 0.0782424 | − | 0.135520i | |||||
7686.11 | − | 13312.7i | 0.105803 | − | 0.183257i | |||||
54182.9 | + | 93847.6i | 0.725083 | + | 1.25588i | 0.958940 | + | 0.283609i | ||
−0.233857 | + | 0.972271i | ||||||||
33533.2 | 0.436384 | |||||||||
0 | 0 | |||||||||
60745.2 | 0.748242 | |||||||||
−25311.9 | − | 43841.5i | −0.303471 | − | 0.525627i | |||||
46097.2 | − | 79842.7i | 0.538090 | − | 0.931999i | |||||
14250.4 | − | 24682.4i | 0.162001 | − | 0.280594i | |||||
−4608.00 | − | 7981.29i | −0.0510310 | − | 0.0883883i | |||||
−99641.2 | −1.07525 | −0.537625 | − | 0.843184i | ||||||
−0.537625 | + | 0.843184i | ||||||||
0 | 0 | |||||||||
19455.5 | 0.199505 | |||||||||
−60693.8 | − | 105125.i | −0.606938 | − | 1.05125i | |||||
82599.9 | − | 143067.i | 0.805705 | − | 1.39552i | −0.110109 | − | 0.993920i | ||
0.915814 | − | 0.401603i | ||||||||
−23278.8 | + | 40320.0i | −0.221544 | + | 0.383725i | |||||
−53623.6 | − | 92878.8i | −0.498038 | − | 0.862628i | 0.501959 | − | 0.864891i | ||
−0.999997 | + | 0.00226355i | ||||||||
51550.5 | 0.467358 | |||||||||
0 | 0 | |||||||||
−70651.2 | −0.610738 | |||||||||
48711.2 | + | 84370.2i | 0.411310 | + | 0.712409i | 0.995033 | − | 0.0995431i | ||
−0.583723 | + | 0.811953i | ||||||||
5832.00 | − | 10101.3i | 0.0481125 | − | 0.0833333i | |||||
−29653.6 | + | 51361.5i | −0.239062 | + | 0.414068i | −0.960445 | − | 0.278468i | ||
0.721383 | + | 0.692536i | ||||||||
−49718.3 | − | 86114.6i | −0.391773 | − | 0.678571i | |||||
81706.4 | 0.629432 | |||||||||
0 | 0 | |||||||||
157268. | 1.15863 | 0.579313 | − | 0.815105i | ||||||
0.579313 | + | 0.815105i | ||||||||
−4956.78 | − | 8585.40i | −0.0357222 | − | 0.0618726i | |||||
196468. | − | 340292.i | 1.38531 | − | 2.39943i | |||||
−9820.15 | + | 17009.0i | −0.0677599 | + | 0.117364i | |||||
32621.8 | + | 56502.7i | 0.220315 | + | 0.381596i | |||||
73505.2 | 0.485974 | |||||||||
0 | 0 | |||||||||
−59614.5 | −0.377919 | |||||||||
51679.7 | + | 89511.8i | 0.320890 | + | 0.555798i | |||||
−22648.2 | + | 39227.8i | −0.137763 | + | 0.238613i | |||||
81933.4 | − | 141913.i | 0.488313 | − | 0.845782i | |||||
44998.9 | + | 77940.4i | 0.262814 | + | 0.455206i | |||||
−461778. | −2.64337 | |||||||||
0 | 0 | |||||||||
−92477.3 | −0.508775 | −0.254387 | − | 0.967102i | ||||||
−0.254387 | + | 0.967102i | ||||||||
8192.00 | + | 14189.0i | 0.0441942 | + | 0.0765466i | |||||
−52687.0 | + | 91256.5i | −0.278759 | + | 0.482825i | |||||
166730. | − | 288784.i | 0.865276 | − | 1.49870i | |||||
−36164.2 | − | 62638.2i | −0.184120 | − | 0.318905i | 0.759160 | − | 0.650904i | ||
−0.943280 | + | 0.331999i | ||||||||
−34587.5 | −0.172776 | |||||||||
0 | 0 | |||||||||
−144317. | −0.694315 | |||||||||
−37724.8 | − | 65341.3i | −0.178153 | − | 0.308570i | |||||
41384.5 | − | 71680.1i | 0.191863 | − | 0.332316i | |||||
−112831. | + | 195429.i | −0.513602 | + | 0.889585i | 0.486273 | + | 0.873807i | ||
−0.999876 | + | 0.0157784i | ||||||||
−68338.3 | − | 118365.i | −0.305469 | − | 0.529087i | |||||
327971. | 1.43979 | 0.719894 | − | 0.694084i | ||||||
0.719894 | + | 0.694084i | ||||||||
0 | 0 | |||||||||
−207437. | −0.878697 | |||||||||
−126868. | − | 219743.i | −0.527999 | − | 0.914521i | |||||
96734.2 | − | 167548.i | 0.395585 | − | 0.685173i | |||||
−10368.0 | + | 17957.9i | −0.0416667 | + | 0.0721688i | |||||
63522.5 | + | 110024.i | 0.250904 | + | 0.434579i | |||||
−211930. | −0.822829 | |||||||||
0 | 0 | |||||||||
−145256. | −0.545104 | |||||||||
−82005.4 | − | 142038.i | −0.302606 | − | 0.524128i | 0.674120 | − | 0.738622i | ||
−0.976725 | + | 0.214494i | ||||||||
−136561. | + | 236531.i | −0.495563 | + | 0.858340i | |||||
−31154.4 | + | 53961.0i | −0.111193 | + | 0.192592i | −0.916251 | − | 0.400604i | ||
0.805059 | + | 0.593195i | ||||||||
8812.06 | + | 15262.9i | 0.0309363 | + | 0.0535832i | |||||
104755. | 0.361780 | |||||||||
0 | 0 | |||||||||
582159. | 1.94631 | |||||||||
−57994.4 | − | 100449.i | −0.190798 | − | 0.330472i | |||||
−119903. | + | 207679.i | −0.388224 | + | 0.672423i | −0.992211 | − | 0.124571i | ||
0.603987 | + | 0.796994i | ||||||||
−97128.0 | + | 168231.i | −0.309529 | + | 0.536121i | |||||
79482.6 | + | 137668.i | 0.249333 | + | 0.431857i | |||||
105981. | 0.327288 | |||||||||
0 | 0 | |||||||||
−26244.0 | −0.0785674 | |||||||||
218397. | + | 378275.i | 0.643841 | + | 1.11516i | 0.984568 | + | 0.175002i | ||
−0.340727 | + | 0.940162i | ||||||||
−145659. | + | 252289.i | −0.422891 | + | 0.732469i | |||||
−111866. | + | 193758.i | −0.319881 | + | 0.554051i | |||||
−226322. | − | 392001.i | −0.637466 | − | 1.10412i | |||||
−38846.7 | −0.107786 | −0.0538931 | − | 0.998547i | ||||||
−0.0538931 | + | 0.998547i | ||||||||
0 | 0 | |||||||||
277501. | 0.747390 | |||||||||
−267700. | − | 463669.i | −0.710437 | − | 1.23051i | |||||
−11152.8 | + | 19317.1i | −0.0291670 | + | 0.0505188i | |||||
93665.7 | − | 162234.i | 0.241412 | − | 0.418139i | |||||
198139. | + | 343186.i | 0.503331 | + | 0.871795i | 0.999993 | + | 0.00385097i | ||
−0.496661 | + | 0.867944i | ||||||||
44190.7 | 0.110652 | |||||||||
0 | 0 | |||||||||
61488.9 | 0.149629 | |||||||||
−82693.4 | − | 143229.i | −0.198398 | − | 0.343636i | |||||
−216732. | + | 375390.i | −0.512711 | + | 0.888041i | |||||
−121942. | + | 211209.i | −0.284459 | + | 0.492698i | −0.972478 | − | 0.232995i | ||
0.688019 | + | 0.725693i | ||||||||
67066.4 | + | 116162.i | 0.154285 | + | 0.267229i | |||||
299273. | 0.679002 | 0.339501 | − | 0.940606i | ||||||
0.339501 | + | 0.940606i | ||||||||
0 | 0 | |||||||||
101917. | 0.224967 | |||||||||
121490. | + | 210427.i | 0.264544 | + | 0.458203i | |||||
−469800. | + | 813718.i | −1.00922 | + | 1.74801i | |||||
101248. | − | 175366.i | 0.214586 | − | 0.371675i | |||||
−155315. | − | 269014.i | −0.324796 | − | 0.562563i | |||||
368778. | 0.760974 | |||||||||
0 | 0 | |||||||||
114003. | 0.229104 | |||||||||
388498. | + | 672899.i | 0.770558 | + | 1.33465i | 0.937257 | + | 0.348639i | ||
−0.166699 | + | 0.986008i | ||||||||
18432.0 | − | 31925.2i | 0.0360844 | − | 0.0625000i | |||||
−138211. | + | 239388.i | −0.267084 | + | 0.462603i | −0.968108 | − | 0.250535i | ||
0.701023 | + | 0.713138i | ||||||||
−199282. | − | 345167.i | −0.380159 | − | 0.658454i | |||||
−750284. | −1.41299 | |||||||||
0 | 0 | |||||||||
−131615. | −0.241624 | −0.120812 | − | 0.992675i | ||||||
−0.120812 | + | 0.992675i | ||||||||
38910.9 | + | 67395.7i | 0.0705356 | + | 0.122171i | |||||
282480. | − | 489270.i | 0.505656 | − | 0.875822i | −0.494322 | − | 0.869279i | ||
0.999979 | − | 0.00654355i | ||||||||
242775. | − | 420499.i | 0.429170 | − | 0.743344i | |||||
162357. | + | 281211.i | 0.283453 | + | 0.490955i | |||||
660799. | 1.13944 | |||||||||
0 | 0 | |||||||||
−186230. | −0.313311 | |||||||||
942211. | + | 1.63196e6i | 1.56590 | + | 2.71221i | |||||
214494. | − | 371515.i | 0.352166 | − | 0.609970i | |||||
−153761. | + | 266322.i | −0.249414 | + | 0.431998i | |||||
103101. | + | 178576.i | 0.165236 | + | 0.286197i | |||||
66143.0 | 0.104741 | |||||||||
0 | 0 | |||||||||
313637. | 0.484977 | 0.242489 | − | 0.970154i | ||||||
0.242489 | + | 0.970154i | ||||||||
−141302. | − | 244743.i | −0.215928 | − | 0.373999i | |||||
−285454. | + | 494421.i | −0.431109 | + | 0.746703i | |||||
−194845. | + | 337481.i | −0.290840 | + | 0.503750i | |||||
−605886. | − | 1.04942e6i | −0.893911 | − | 1.54830i | |||||
46656.0 | 0.0680414 | |||||||||
0 | 0 | |||||||||
−237229. | −0.338085 | |||||||||
238421. | + | 412957.i | 0.335918 | + | 0.581828i | |||||
198873. | − | 344459.i | 0.277025 | − | 0.479822i | |||||
520848. | − | 902136.i | 0.717349 | − | 1.24248i | |||||
163413. | + | 283039.i | 0.222538 | + | 0.385447i | |||||
279483. | 0.376351 | 0.188176 | − | 0.982135i | ||||||
0.188176 | + | 0.982135i | ||||||||
0 | 0 | |||||||||
614525. | 0.809251 | |||||||||
314535. | + | 544791.i | 0.409636 | + | 0.709511i | |||||
−611754. | + | 1.05959e6i | −0.787974 | + | 1.36481i | 0.139232 | + | 0.990260i | ||
−0.927206 | + | 0.374551i | ||||||||
19827.1 | − | 34341.6i | 0.0252594 | − | 0.0437505i | |||||
127387. | + | 220641.i | 0.160523 | + | 0.278034i | 0.935056 | − | 0.354499i | ||
−0.774533 | + | 0.632533i | ||||||||
1.57174e6 | 1.95912 | |||||||||
0 | 0 | |||||||||
−78561.2 | −0.0958270 | |||||||||
−373086. | − | 646204.i | −0.450215 | − | 0.779794i | 0.548184 | − | 0.836357i | ||
−0.998399 | + | 0.0565630i | ||||||||
−130487. | + | 226011.i | −0.155786 | + | 0.269829i | |||||
1.19274e6 | − | 2.06588e6i | 1.40888 | − | 2.44026i | |||||
147010. | + | 254630.i | 0.171818 | + | 0.297597i | |||||
437076. | 0.505459 | |||||||||
0 | 0 | |||||||||
321036. | 0.363546 | 0.181773 | − | 0.983341i | ||||||
0.181773 | + | 0.983341i | ||||||||
−119229. | − | 206511.i | −0.133615 | − | 0.231427i | |||||
621268. | − | 1.07607e6i | 0.689027 | − | 1.19343i | −0.283125 | − | 0.959083i | ||
0.972153 | − | 0.234348i | ||||||||
−206719. | + | 358047.i | −0.226904 | + | 0.393008i | |||||
29524.5 | + | 51137.9i | 0.0320750 | + | 0.0555556i | |||||
−181185. | −0.194827 | |||||||||
0 | 0 | |||||||||
655467. | 0.690578 | |||||||||
110905. | + | 192093.i | 0.115667 | + | 0.200341i | |||||
−179996. | + | 311762.i | −0.185837 | + | 0.321880i | |||||
−509225. | + | 882003.i | −0.520489 | + | 0.901513i | |||||
−923555. | − | 1.59964e6i | −0.934572 | − | 1.61873i | |||||
−690235. | −0.691532 | −0.345766 | − | 0.938321i | ||||||
−0.345766 | + | 0.938321i | ||||||||
0 | 0 | |||||||||
911902. | 0.895668 | |||||||||
−184955. | − | 320351.i | −0.179879 | − | 0.311560i | |||||
−602324. | + | 1.04326e6i | −0.580069 | + | 1.00471i | |||||
−32768.0 | + | 56755.8i | −0.0312500 | + | 0.0541266i | |||||
6893.35 | + | 11939.6i | 0.00651024 | + | 0.0112761i | 0.869262 | − | 0.494351i | ||
−0.862752 | + | 0.505627i | ||||||||
−421496. | −0.394225 | |||||||||
0 | 0 | |||||||||
1.33384e6 | 1.22369 | |||||||||
−49714.5 | − | 86108.0i | −0.0451733 | − | 0.0782424i | |||||
144657. | − | 250553.i | 0.130192 | − | 0.225500i | |||||
−287417. | + | 497820.i | −0.256226 | + | 0.443796i | −0.965228 | − | 0.261411i | ||
0.709002 | + | 0.705206i | ||||||||
−69175.0 | − | 119815.i | −0.0610857 | − | 0.105803i | |||||
−1.82806e6 | −1.59910 | |||||||||
0 | 0 | |||||||||
975293. | 0.837253 | |||||||||
−288635. | − | 499930.i | −0.245477 | − | 0.425179i | |||||
−559464. | + | 969020.i | −0.471402 | + | 0.816492i | −0.999465 | − | 0.0327131i | ||
0.528063 | + | 0.849205i | ||||||||
150899. | − | 261365.i | 0.125973 | − | 0.218192i | |||||
347435. | + | 601775.i | 0.287376 | + | 0.497749i | 0.973183 | − | 0.230034i | ||
−0.685807 | + | 0.727784i | ||||||||
331076. | 0.271335 | |||||||||
0 | 0 | |||||||||
−902648. | −0.726343 | |||||||||
−911131. | − | 1.57813e6i | −0.726523 | − | 1.25837i | |||||
273353. | − | 473462.i | 0.215999 | − | 0.374121i | |||||
418827. | − | 725429.i | 0.327971 | − | 0.568062i | −0.654138 | − | 0.756375i | ||
0.982109 | + | 0.188313i | ||||||||
655942. | + | 1.13613e6i | 0.509042 | + | 0.881687i | |||||
−455614. | −0.350418 | |||||||||
0 | 0 | |||||||||
−917687. | −0.693312 | −0.346656 | − | 0.937992i | ||||||
−0.346656 | + | 0.937992i | ||||||||
−414875. | − | 718584.i | −0.310666 | − | 0.538090i | |||||
−207632. | + | 359629.i | −0.154109 | + | 0.266924i | −0.932734 | − | 0.360565i | ||
0.778625 | + | 0.627489i | ||||||||
507474. | − | 878971.i | 0.373352 | − | 0.646664i | |||||
−128254. | − | 222142.i | −0.0935314 | − | 0.162001i | |||||
773873. | 0.559442 | |||||||||
0 | 0 | |||||||||
−82944.0 | −0.0589256 | |||||||||
−126340. | − | 218828.i | −0.0889809 | − | 0.154119i | |||||
−254090. | + | 440097.i | −0.177416 | + | 0.307293i | |||||
−448386. | + | 776627.i | −0.310398 | + | 0.537625i | |||||
−423859. | − | 734145.i | −0.290914 | − | 0.503878i | |||||
1.21491e6 | 0.826752 | 0.413376 | − | 0.910561i | ||||||
0.413376 | + | 0.910561i | ||||||||
0 | 0 | |||||||||
1.90190e6 | 1.27243 | |||||||||
−290512. | − | 503181.i | −0.192723 | − | 0.333807i | |||||
87549.6 | − | 151640.i | 0.0575921 | − | 0.0997525i | |||||
328022. | − | 568150.i | 0.213974 | − | 0.370615i | |||||
1.52903e6 | + | 2.64835e6i | 0.989093 | + | 1.71316i | |||||
−1.09249e6 | −0.700832 | |||||||||
0 | 0 | |||||||||
−249235. | −0.157250 | |||||||||
−743399. | − | 1.28761e6i | −0.465174 | − | 0.805705i | |||||
−35248.2 | + | 61051.7i | −0.0218753 | + | 0.0378891i | |||||
−586007. | + | 1.01499e6i | −0.360706 | + | 0.624761i | |||||
209509. | + | 362880.i | 0.127908 | + | 0.221544i | |||||
2.60119e6 | 1.57517 | 0.787584 | − | 0.616207i | ||||||
0.787584 | + | 0.616207i | ||||||||
0 | 0 | |||||||||
−965225. | −0.575085 | |||||||||
1.16432e6 | + | 2.01666e6i | 0.688125 | + | 1.19187i | |||||
−409582. | + | 709417.i | −0.240126 | + | 0.415911i | −0.960750 | − | 0.277415i | ||
0.720624 | + | 0.693326i | ||||||||
231977. | − | 401797.i | 0.134915 | − | 0.233679i | |||||
−440970. | − | 763782.i | −0.254418 | − | 0.440665i | 0.710319 | − | 0.703880i | ||
−0.964737 | + | 0.263215i | ||||||||
−959226. | −0.549031 | |||||||||
0 | 0 | |||||||||
−777024. | −0.437741 | |||||||||
802191. | + | 1.38944e6i | 0.448363 | + | 0.776587i | 0.998280 | − | 0.0586323i | ||
−0.549917 | + | 0.835219i | ||||||||
−317930. | + | 550672.i | −0.176305 | + | 0.305369i | |||||
−147419. | + | 255338.i | −0.0811106 | + | 0.140488i | |||||
211963. | + | 367130.i | 0.115714 | + | 0.200422i | |||||
876801. | 0.474940 | |||||||||
0 | 0 | |||||||||
356135. | 0.189937 | |||||||||
−52488.0 | − | 90911.9i | −0.0277778 | − | 0.0481125i | |||||
3.05547e6 | − | 5.29223e6i | 1.60461 | − | 2.77927i | |||||
−873589. | + | 1.51310e6i | −0.455264 | + | 0.788540i | |||||
266882. | + | 462254.i | 0.138023 | + | 0.239062i | |||||
−1.16527e6 | −0.598058 | |||||||||
0 | 0 | |||||||||
−894929. | −0.452381 | |||||||||
−501540. | − | 868693.i | −0.251614 | − | 0.435809i | 0.712356 | − | 0.701818i | ||
−0.963970 | + | 0.266009i | ||||||||
905288. | − | 1.56801e6i | 0.450756 | − | 0.780733i | |||||
367679. | − | 636839.i | 0.181701 | − | 0.314716i | |||||
−77693.4 | − | 134569.i | −0.0381082 | − | 0.0660053i | |||||
−3.73412e6 | −1.81793 | |||||||||
0 | 0 | |||||||||
−2.62317e6 | −1.25821 | −0.629103 | − | 0.777322i | ||||||
−0.629103 | + | 0.777322i | ||||||||
555001. | + | 961290.i | 0.264242 | + | 0.457681i | |||||
707705. | − | 1.22578e6i | 0.334467 | − | 0.579313i | |||||
1.07080e6 | − | 1.85468e6i | 0.502355 | − | 0.870104i | |||||
675521. | + | 1.17004e6i | 0.314596 | + | 0.544896i | |||||
−89222.1 | −0.0412484 | |||||||||
0 | 0 | |||||||||
749326. | 0.341409 | |||||||||
−1.76821e6 | − | 3.06263e6i | −0.799809 | − | 1.38531i | |||||
−792555. | + | 1.37274e6i | −0.355909 | + | 0.616452i | |||||
−113117. | + | 195924.i | −0.0504317 | + | 0.0873503i | −0.890139 | − | 0.455689i | ||
0.839708 | + | 0.543039i | ||||||||
88381.3 | + | 153081.i | 0.0391212 | + | 0.0677599i | |||||
1.46280e6 | 0.642866 | 0.321433 | − | 0.946932i | ||||||
0.321433 | + | 0.946932i | ||||||||
0 | 0 | |||||||||
587193. | 0.254398 | |||||||||
122978. | + | 213004.i | 0.0529017 | + | 0.0916285i | |||||
1.40479e6 | − | 2.43316e6i | 0.600031 | − | 1.03928i | −0.392785 | − | 0.919630i | ||
0.992816 | − | 0.119653i | ||||||||
330773. | − | 572916.i | 0.140289 | − | 0.242987i | |||||
−3.28264e6 | − | 5.68570e6i | −1.38246 | − | 2.39449i | |||||
−1.73385e6 | −0.725083 | |||||||||
0 | 0 | |||||||||
−975534. | −0.402286 | |||||||||
1.84950e6 | + | 3.20343e6i | 0.757388 | + | 1.31183i | 0.944178 | + | 0.329435i | ||
−0.186790 | + | 0.982400i | ||||||||
−268265. | + | 464649.i | −0.109096 | + | 0.188960i | |||||
1.20013e6 | − | 2.07869e6i | 0.484687 | − | 0.839503i | |||||
598546. | + | 1.03671e6i | 0.240063 | + | 0.415802i | |||||
930234. | 0.370532 | |||||||||
0 | 0 | |||||||||
−5.48354e6 | −2.15441 | |||||||||
203834. | + | 353050.i | 0.0795377 | + | 0.137763i | |||||
584623. | − | 1.01260e6i | 0.226574 | − | 0.392438i | −0.730216 | − | 0.683216i | ||
0.956791 | + | 0.290778i | ||||||||
−485961. | + | 841710.i | −0.187061 | + | 0.323998i | |||||
−737400. | − | 1.27721e6i | −0.281927 | − | 0.488313i | |||||
−3.75840e6 | −1.42725 | |||||||||
0 | 0 | |||||||||
809980. | 0.303471 | |||||||||
2.28845e6 | + | 3.96371e6i | 0.851666 | + | 1.47513i | 0.879704 | + | 0.475523i | ||
−0.0280372 | + | 0.999607i | ||||||||
621262. | − | 1.07606e6i | 0.229665 | − | 0.397792i | |||||
−2.07800e6 | + | 3.59920e6i | −0.763075 | + | 1.32168i | |||||
737555. | + | 1.27748e6i | 0.269045 | + | 0.466000i | |||||
−988738. | −0.358284 | |||||||||
0 | 0 | |||||||||
−2.35520e6 | −0.842229 | −0.421114 | − | 0.907007i | ||||||
−0.421114 | + | 0.907007i | ||||||||
228006. | + | 394919.i | 0.0810006 | + | 0.140297i | |||||
−416148. | + | 720789.i | −0.146871 | + | 0.254387i | |||||
−1.55399e6 | + | 2.69159e6i | −0.544867 | + | 0.943738i | |||||
1.51973e6 | + | 2.63225e6i | 0.529382 | + | 0.916916i | 0.999413 | + | 0.0342662i | ||
−0.470031 | + | 0.882650i | ||||||||
147456. | 0.0510310 | |||||||||
0 | 0 | |||||||||
−1.10568e6 | −0.377714 | |||||||||
474183. | + | 821309.i | 0.160942 | + | 0.278759i | |||||
797130. | − | 1.38067e6i | 0.268813 | − | 0.465597i | |||||
229637. | − | 397742.i | 0.0769426 | − | 0.133269i | −0.824987 | − | 0.565152i | ||
0.901929 | + | 0.431883i | ||||||||
−1.50057e6 | − | 2.59906e6i | −0.499567 | − | 0.865276i | |||||
4.90998e6 | 1.62419 | |||||||||
0 | 0 | |||||||||
−650956. | −0.212603 | |||||||||
−263231. | − | 455929.i | −0.0854272 | − | 0.147964i | |||||
−2.51313e6 | + | 4.35286e6i | −0.810441 | + | 1.40373i | |||||
−155644. | + | 269583.i | −0.0498762 | + | 0.0863882i | |||||
2.71250e6 | + | 4.69819e6i | 0.863761 | + | 1.49608i | 0.868272 | + | 0.496089i | ||
−0.00451026 | + | 0.999990i | ||||||||
2.25984e6 | 0.715106 | |||||||||
0 | 0 | |||||||||
1.94220e6 | 0.606938 | |||||||||
−1.05564e6 | − | 1.82841e6i | −0.327833 | − | 0.567824i | 0.654248 | − | 0.756280i | ||
−0.982082 | + | 0.188456i | ||||||||
−649428. | + | 1.12484e6i | −0.200432 | + | 0.347158i | |||||
−2.26535e6 | + | 3.92370e6i | −0.694821 | + | 1.20346i | |||||
1.32160e6 | + | 2.28908e6i | 0.402853 | + | 0.697761i | |||||
−679047. | −0.205713 | |||||||||
0 | 0 | |||||||||
−2.18057e6 | −0.652506 | |||||||||
−372461. | − | 645121.i | −0.110772 | − | 0.191863i | |||||
1.27872e6 | − | 2.21481e6i | 0.377980 | − | 0.654680i | −0.612788 | − | 0.790247i | ||
0.990768 | + | 0.135567i | ||||||||
−3.76884e6 | + | 6.52783e6i | −1.10726 | + | 1.91783i | |||||
1.01548e6 | + | 1.75886e6i | 0.296528 | + | 0.513602i | |||||
1.71595e6 | 0.498038 | |||||||||
0 | 0 | |||||||||
−1.23009e6 | −0.352725 | |||||||||
−5.85594e6 | − | 1.01428e7i | −1.66908 | − | 2.89093i | |||||
−412404. | + | 714305.i | −0.116840 | + | 0.202372i | |||||
1.47587e6 | − | 2.55628e6i | 0.415631 | − | 0.719894i | |||||
132286. | + | 229126.i | 0.0370317 | + | 0.0641407i | |||||
−2.17401e6 | −0.604959 | −0.302480 | − | 0.953156i | ||||||
−0.302480 | + | 0.953156i | ||||||||
0 | 0 | |||||||||
−5.47930e6 | −1.50668 | −0.753338 | − | 0.657633i | ||||||
−0.753338 | + | 0.657633i | ||||||||
627274. | + | 1.08647e6i | 0.171465 | + | 0.296987i | |||||
−933468. | + | 1.61681e6i | −0.253658 | + | 0.439349i | |||||
565210. | − | 978972.i | 0.152684 | − | 0.264457i | |||||
−4.90583e6 | − | 8.49714e6i | −1.31747 | − | 2.28192i | |||||
−2.28363e6 | −0.609680 | |||||||||
0 | 0 | |||||||||
−1.55876e6 | −0.411310 | |||||||||
−870607. | − | 1.50794e6i | −0.228391 | − | 0.395585i | |||||
2.42354e6 | − | 4.19770e6i | 0.632091 | − | 1.09481i | |||||
3.08437e6 | − | 5.34229e6i | 0.799785 | − | 1.38527i | −0.119971 | − | 0.992777i | ||
0.919756 | − | 0.392491i | ||||||||
93312.0 | + | 161621.i | 0.0240563 | + | 0.0416667i | |||||
−4.89596e6 | −1.25493 | −0.627463 | − | 0.778647i | ||||||
−0.627463 | + | 0.778647i | ||||||||
0 | 0 | |||||||||
1.14341e6 | 0.289719 | |||||||||
−474458. | − | 821785.i | −0.119531 | − | 0.207034i | |||||
−522744. | + | 905419.i | −0.130944 | + | 0.226802i | |||||
−953683. | + | 1.65183e6i | −0.237530 | + | 0.411414i | |||||
−1.77294e6 | − | 3.07082e6i | −0.439069 | − | 0.760489i | 0.558549 | − | 0.829471i | ||
−0.997618 | + | 0.0689822i | ||||||||
1.59099e6 | 0.391773 | |||||||||
0 | 0 | |||||||||
4.16679e6 | 1.01448 | |||||||||
−3.02826e6 | − | 5.24510e6i | −0.733134 | − | 1.26983i | −0.955537 | − | 0.294871i | ||
0.222403 | − | 0.974955i | ||||||||
−653651. | + | 1.13216e6i | −0.157358 | + | 0.272552i | |||||
−5.60780e6 | + | 9.71299e6i | −1.34243 | + | 2.32516i | |||||
558966. | + | 968158.i | 0.133060 | + | 0.230467i | |||||
−1.47610e6 | −0.349419 | |||||||||
0 | 0 | |||||||||
−1.20801e6 | −0.282783 | −0.141392 | − | 0.989954i | ||||||
−0.141392 | + | 0.989954i | ||||||||
1.22905e6 | + | 2.12878e6i | 0.286113 | + | 0.495563i | |||||
−2.18663e6 | + | 3.78735e6i | −0.506213 | + | 0.876787i | |||||
−1.25814e6 | + | 2.17917e6i | −0.289657 | + | 0.501700i | |||||
280390. | + | 485649.i | 0.0641972 | + | 0.111193i | |||||
−4.89403e6 | −1.11436 | |||||||||
0 | 0 | |||||||||
158617. | 0.0357222 | |||||||||
2.73275e6 | + | 4.73326e6i | 0.612082 | + | 1.06016i | 0.990889 | + | 0.134681i | ||
−0.378807 | + | 0.925476i | ||||||||
−509549. | + | 882565.i | −0.113507 | + | 0.196600i | |||||
471396. | − | 816481.i | 0.104437 | − | 0.180890i | |||||
3.14349e6 | + | 5.44468e6i | 0.692655 | + | 1.19971i | |||||
−1.15956e6 | −0.254121 | −0.127061 | − | 0.991895i | ||||||
−0.127061 | + | 0.991895i | ||||||||
0 | 0 | |||||||||
−4.31335e6 | −0.935108 | −0.467554 | − | 0.883964i | ||||||
−0.467554 | + | 0.883964i | ||||||||
−157122. | − | 272144.i | −0.0338800 | − | 0.0586818i | |||||
2.61972e6 | − | 4.53748e6i | 0.561852 | − | 0.973156i | |||||
1.49235e6 | − | 2.58482e6i | 0.318350 | − | 0.551398i | |||||
−2.99462e6 | − | 5.18683e6i | −0.635403 | − | 1.10055i | −0.986430 | − | 0.164184i | ||
0.351027 | − | 0.936365i | ||||||||
−1.04390e6 | −0.220315 | |||||||||
0 | 0 | |||||||||
9.54189e6 | 1.99246 | |||||||||
1.07913e6 | + | 1.86911e6i | 0.224141 | + | 0.388224i | |||||
−588042. | + | 1.01852e6i | −0.121494 | + | 0.210433i | |||||
1.40610e6 | − | 2.43544e6i | 0.288978 | − | 0.500524i | |||||
874152. | + | 1.51408e6i | 0.178707 | + | 0.309529i | |||||
2.08921e6 | 0.424862 | |||||||||
0 | 0 | |||||||||
1.43069e6 | 0.287905 | |||||||||
642073. | + | 1.11210e6i | 0.128533 | + | 0.222626i | |||||
1.77326e6 | − | 3.07138e6i | 0.353129 | − | 0.611638i | −0.633667 | − | 0.773606i | ||
0.986796 | + | 0.161968i | ||||||||
476916. | − | 826043.i | 0.0944798 | − | 0.163644i | |||||
−3.65626e6 | − | 6.33283e6i | −0.720567 | − | 1.24806i | |||||
4.97015e6 | 0.974432 | |||||||||
0 | 0 | |||||||||
−1.65375e6 | −0.320890 | |||||||||
−5.15631e6 | − | 8.93099e6i | −0.995370 | − | 1.72403i | |||||
−118098. | + | 204552.i | −0.0226805 | + | 0.0392837i | |||||
4.39160e6 | − | 7.60648e6i | 0.839074 | − | 1.45332i | −0.0515950 | − | 0.998668i | ||
0.890669 | − | 0.454651i | ||||||||
−362371. | − | 627645.i | −0.0688817 | − | 0.119307i | |||||
3.93115e6 | 0.743443 | |||||||||
0 | 0 | |||||||||
−586608. | −0.109811 | −0.0549053 | − | 0.998492i | ||||||
−0.0549053 | + | 0.998492i | ||||||||
1.31093e6 | + | 2.27060e6i | 0.244156 | + | 0.422891i | |||||
−793754. | + | 1.37482e6i | −0.147085 | + | 0.254759i | |||||
−443619. | + | 768371.i | −0.0817887 | + | 0.141662i | |||||
1.00680e6 | + | 1.74382e6i | 0.184684 | + | 0.319881i | |||||
−1.43997e6 | −0.262814 | |||||||||
0 | 0 | |||||||||
−4.07380e6 | −0.736082 | |||||||||
4.79886e6 | + | 8.31187e6i | 0.862753 | + | 1.49433i | 0.869261 | + | 0.494353i | ||
−0.00650801 | + | 0.999979i | ||||||||
3.69422e6 | − | 6.39858e6i | 0.660842 | − | 1.14461i | |||||
−174810. | + | 302780.i | −0.0311152 | + | 0.0538931i | |||||
−1.38047e6 | − | 2.39104e6i | −0.244494 | − | 0.423475i | |||||
7.21481e6 | 1.27147 | 0.635733 | − | 0.771909i | ||||||
0.635733 | + | 0.771909i | ||||||||
0 | 0 | |||||||||
1.70978e7 | 2.98340 | |||||||||
1.82380e6 | + | 3.15892e6i | 0.316666 | + | 0.548482i | |||||
1.24875e6 | − | 2.16290e6i | 0.215753 | − | 0.373695i | |||||
739818. | − | 1.28140e6i | 0.127194 | − | 0.220306i | |||||
2.19210e6 | + | 3.79682e6i | 0.375029 | + | 0.649569i | 0.990331 | − | 0.138722i | ||
−0.615302 | + | 0.788291i | ||||||||
−4.81859e6 | −0.820342 | |||||||||
0 | 0 | |||||||||
−262144. | −0.0441942 | |||||||||
100375. | + | 173854.i | 0.0168396 | + | 0.0291670i | |||||
−27573.4 | + | 47758.5i | −0.00460344 | + | 0.00797339i | |||||
5.54991e6 | − | 9.61272e6i | 0.922078 | − | 1.59709i | |||||
−842992. | − | 1.46010e6i | −0.139380 | − | 0.241412i | |||||
5.53606e6 | 0.910909 | |||||||||
0 | 0 | |||||||||
3.56650e6 | 0.581197 | |||||||||
2.66768e6 | + | 4.62055e6i | 0.432638 | + | 0.749351i | |||||
1.03291e6 | − | 1.78905e6i | 0.166712 | − | 0.288753i | −0.770550 | − | 0.637380i | ||
0.937262 | + | 0.348626i | ||||||||
198858. | − | 344432.i | 0.0319423 | − | 0.0553258i | |||||
3.98285e6 | + | 6.89850e6i | 0.636707 | + | 1.10281i | 0.986151 | + | 0.165852i | ||
−0.349444 | + | 0.936957i | ||||||||
1.15725e6 | 0.184120 | |||||||||
0 | 0 | |||||||||
−2.29933e6 | −0.362358 | |||||||||
3.63722e6 | + | 6.29985e6i | 0.570484 | + | 0.988107i | |||||
276700. | − | 479258.i | 0.0431941 | − | 0.0748143i | |||||
−3.98881e6 | + | 6.90882e6i | −0.619732 | + | 1.07341i | |||||
−3.65611e6 | − | 6.33257e6i | −0.565366 | − | 0.979242i | |||||
−1.48848e6 | −0.229090 | |||||||||
0 | 0 | |||||||||
−1.46657e7 | −2.23606 | |||||||||
1.95059e6 | + | 3.37851e6i | 0.296014 | + | 0.512711i | |||||
−5.04148e6 | + | 8.73210e6i | −0.761507 | + | 1.31897i | |||||
1.15454e6 | − | 1.99972e6i | 0.173579 | − | 0.300647i | |||||
1.09748e6 | + | 1.90088e6i | 0.164233 | + | 0.284459i | |||||
−4.47571e6 | −0.666663 | |||||||||
0 | 0 | |||||||||
1.20719e6 | 0.178153 | |||||||||
−4.11712e6 | − | 7.13105e6i | −0.604784 | − | 1.04752i | −0.992086 | − | 0.125563i | ||
0.387302 | − | 0.921953i | ||||||||
−1.38974e6 | + | 2.40710e6i | −0.203205 | + | 0.351962i | |||||
1.34673e6 | − | 2.33260e6i | 0.196011 | − | 0.339501i | |||||
662152. | + | 1.14688e6i | 0.0959314 | + | 0.166158i | |||||
−6.13815e6 | −0.885209 | |||||||||
0 | 0 | |||||||||
5.20365e6 | 0.743601 | 0.371800 | − | 0.928313i | ||||||
0.371800 | + | 0.928313i | ||||||||
−1.80530e6 | − | 3.12686e6i | −0.256801 | − | 0.444793i | |||||
458626. | − | 794363.i | 0.0649423 | − | 0.112483i | |||||
3.64453e6 | − | 6.31250e6i | 0.513729 | − | 0.889805i | |||||
−169015. | − | 292743.i | −0.0237163 | − | 0.0410778i | |||||
2.18683e6 | 0.305469 | |||||||||
0 | 0 | |||||||||
3.35061e6 | 0.463821 | |||||||||
4.22820e6 | + | 7.32346e6i | 0.582671 | + | 1.00922i | |||||
−2.62377e6 | + | 4.54450e6i | −0.359947 | + | 0.623447i | |||||
2.04583e6 | − | 3.54347e6i | 0.279403 | − | 0.483940i | −0.691834 | − | 0.722057i | ||
0.971236 | + | 0.238117i | ||||||||
−911228. | − | 1.57829e6i | −0.123892 | − | 0.214586i | |||||
9.43070e6 | 1.27648 | |||||||||
0 | 0 | |||||||||
−2.79568e6 | −0.375042 | |||||||||
−1.83537e6 | − | 3.17896e6i | −0.245123 | − | 0.424565i | |||||
−1.79526e6 | + | 3.10948e6i | −0.238702 | + | 0.413444i | −0.960342 | − | 0.278824i | ||
0.721640 | + | 0.692269i | ||||||||
1.65950e6 | − | 2.87434e6i | 0.219674 | − | 0.380487i | |||||
8.13841e6 | + | 1.40961e7i | 1.07255 | + | 1.85771i | |||||
−1.66105e6 | −0.217943 | |||||||||
0 | 0 | |||||||||
4.05979e6 | 0.527999 | |||||||||
−4.89858e6 | − | 8.48459e6i | −0.634293 | − | 1.09863i | −0.986665 | − | 0.162767i | ||
0.352372 | − | 0.935860i | ||||||||
513014. | − | 888567.i | 0.0661367 | − | 0.114552i | |||||
1.10902e6 | − | 1.92088e6i | 0.142347 | − | 0.246552i | −0.786033 | − | 0.618185i | ||
0.928380 | + | 0.371632i | ||||||||
1.54775e6 | + | 2.68078e6i | 0.197792 | + | 0.342587i | |||||
6.99297e6 | 0.889764 | |||||||||
0 | 0 | |||||||||
2.88036e7 | 3.63309 | |||||||||
−165888. | − | 287326.i | −0.0208333 | − | 0.0360844i | |||||
−1.32767e6 | + | 2.29959e6i | −0.166016 | + | 0.287548i | −0.937016 | − | 0.349288i | ||
0.771000 | + | 0.636836i | ||||||||
505361. | − | 875310.i | 0.0629190 | − | 0.108979i | |||||
1.24390e6 | + | 2.15449e6i | 0.154201 | + | 0.267084i | |||||
−2.03272e6 | −0.250904 | |||||||||
0 | 0 | |||||||||
−3.58708e6 | −0.438969 | |||||||||
−2.12122e6 | − | 3.67406e6i | −0.258473 | − | 0.447688i | |||||
1.69544e6 | − | 2.93658e6i | 0.205707 | − | 0.356295i | |||||
−3.37628e6 | + | 5.84788e6i | −0.407895 | + | 0.706495i | |||||
2.42982e6 | + | 4.20857e6i | 0.292301 | + | 0.506280i | |||||
2.62690e6 | 0.314665 | 0.157332 | − | 0.987546i | ||||||
0.157332 | + | 0.987546i | ||||||||
0 | 0 | |||||||||
−1.54896e6 | −0.183972 | |||||||||
3.80380e6 | + | 6.58838e6i | 0.449871 | + | 0.779199i | |||||
−592269. | + | 1.02584e6i | −0.0697510 | + | 0.120812i | |||||
1.16205e6 | − | 2.01272e6i | 0.136276 | − | 0.236037i | |||||
−5.75310e6 | − | 9.96467e6i | −0.671839 | − | 1.16366i | −0.977382 | − | 0.211481i | ||
0.305543 | − | 0.952178i | ||||||||
700397. | 0.0814475 | |||||||||
0 | 0 | |||||||||
2.62417e6 | 0.302606 | |||||||||
−2.54232e6 | − | 4.40343e6i | −0.291941 | − | 0.505656i | |||||
−6.11611e6 | + | 1.05934e7i | −0.699394 | + | 1.21139i | |||||
−3.23132e6 | + | 5.59681e6i | −0.367970 | + | 0.637343i | −0.989248 | − | 0.146247i | ||
0.621278 | + | 0.783590i | ||||||||
−2.18498e6 | − | 3.78449e6i | −0.247781 | − | 0.429170i | |||||
−8.55332e6 | −0.965937 | −0.482968 | − | 0.875638i | ||||||
−0.482968 | + | 0.875638i | ||||||||
0 | 0 | |||||||||
2.92243e6 | 0.327303 | |||||||||
−498470. | − | 863376.i | −0.0555964 | − | 0.0962958i | |||||
−5.34871e6 | + | 9.26425e6i | −0.594102 | + | 1.02901i | |||||
2.97360e6 | − | 5.15042e6i | 0.328928 | − | 0.569720i | |||||
1.49521e6 | + | 2.58978e6i | 0.164714 | + | 0.285293i | 0.936554 | − | 0.350524i | ||
−0.771840 | + | 0.635817i | ||||||||
−281986. | −0.0309363 | |||||||||
0 | 0 | |||||||||
−4.68806e6 | −0.510115 | |||||||||
9.28256e6 | + | 1.60779e7i | 1.00592 | + | 1.74231i | |||||
−838036. | + | 1.45152e6i | −0.0904450 | + | 0.156655i | |||||
885724. | − | 1.53412e6i | 0.0952023 | − | 0.164895i | −0.814491 | − | 0.580177i | ||
0.909693 | + | 0.415281i | ||||||||
5.20239e6 | + | 9.01080e6i | 0.556906 | + | 0.964589i | |||||
1.69598e7 | 1.80814 | |||||||||
0 | 0 | |||||||||
1.40871e7 | 1.48974 | 0.744869 | − | 0.667210i | ||||||
0.744869 | + | 0.667210i | ||||||||
−1.93045e6 | − | 3.34364e6i | −0.203323 | − | 0.352166i | |||||
−5.67152e6 | + | 9.82336e6i | −0.594940 | + | 1.03047i | 0.398616 | + | 0.917118i | ||
−0.993555 | + | 0.113348i | ||||||||
−4.65727e6 | + | 8.06663e6i | −0.486578 | + | 0.842778i | |||||
1.38385e6 | + | 2.39690e6i | 0.143999 | + | 0.249414i | |||||
−3.27666e6 | −0.339590 | |||||||||
0 | 0 | |||||||||
1.85582e6 | 0.190798 | |||||||||
−1.20421e7 | − | 2.08576e7i | −1.23312 | − | 2.13582i | |||||
1.76388e6 | − | 3.05513e6i | 0.179901 | − | 0.311597i | |||||
297643. | − | 515534.i | 0.0302362 | − | 0.0523707i | |||||
−1.91845e6 | − | 3.32286e6i | −0.194112 | − | 0.336211i | |||||
−1.17409e7 | −1.18325 | |||||||||
0 | 0 | |||||||||
−2.32628e6 | −0.232588 | −0.116294 | − | 0.993215i | ||||||
−0.116294 | + | 0.993215i | ||||||||
−1.55405e6 | − | 2.69169e6i | −0.154765 | − | 0.268060i | |||||
1.41137e6 | − | 2.44456e6i | 0.140001 | − | 0.242489i | |||||
−3.20876e6 | + | 5.55774e6i | −0.317040 | + | 0.549130i | |||||
−4.78558e6 | − | 8.28887e6i | −0.470978 | − | 0.815758i | |||||
−2.54344e6 | −0.249333 | |||||||||
0 | 0 | |||||||||
−1.17935e6 | −0.114708 | |||||||||
2.56909e6 | + | 4.44979e6i | 0.248901 | + | 0.431109i | |||||
−847851. | + | 1.46852e6i | −0.0818219 | + | 0.141720i | |||||
1.28193e6 | − | 2.22036e6i | 0.123230 | − | 0.213441i | −0.797809 | − | 0.602910i | ||
0.921040 | + | 0.389468i | ||||||||
1.75360e6 | + | 3.03733e6i | 0.167917 | + | 0.290840i | |||||
5.95343e6 | 0.567858 | 0.283929 | − | 0.958845i | ||||||
0.283929 | + | 0.958845i | ||||||||
0 | 0 | |||||||||
−1.09059e7 | −1.03220 | |||||||||
712271. | + | 1.23369e6i | 0.0671528 | + | 0.116312i | |||||
−767611. | + | 1.32954e6i | −0.0720909 | + | 0.124865i | −0.899818 | − | 0.436266i | ||
0.827727 | + | 0.561132i | ||||||||
209952. | − | 363648.i | 0.0196419 | − | 0.0340207i | |||||
2.20691e6 | + | 3.82248e6i | 0.205671 | + | 0.356233i | |||||
2.44437e7 | 2.26926 | |||||||||
0 | 0 | |||||||||
−6.98871e6 | −0.643841 | |||||||||
9.97909e6 | + | 1.72843e7i | 0.915815 | + | 1.58624i | 0.805703 | + | 0.592319i | ||
0.110112 | + | 0.993919i | ||||||||
−1.06753e6 | + | 1.84902e6i | −0.0975968 | + | 0.169043i | |||||
3.74290e6 | − | 6.48290e6i | 0.340883 | − | 0.590427i | |||||
−2.33055e6 | − | 4.03663e6i | −0.211446 | − | 0.366235i | |||||
4.29157e6 | 0.387885 | |||||||||
0 | 0 | |||||||||
−1.05477e7 | −0.946119 | −0.473060 | − | 0.881030i | ||||||
−0.473060 | + | 0.881030i | ||||||||
−1.78986e6 | − | 3.10013e6i | −0.159941 | − | 0.277025i | |||||
−6.10220e6 | + | 1.05693e7i | −0.543229 | + | 0.940900i | 0.455487 | + | 0.890242i | ||
−0.998716 | + | 0.0506576i | ||||||||
2.00616e6 | − | 3.47477e6i | 0.177918 | − | 0.308164i | |||||
−4.68763e6 | − | 8.11922e6i | −0.414162 | − | 0.717349i | |||||
7.24231e6 | 0.637466 | |||||||||
0 | 0 | |||||||||
2.94143e6 | 0.256964 | |||||||||
−2.33018e6 | − | 4.03599e6i | −0.202803 | − | 0.351266i | |||||
310774. | − | 538276.i | 0.0269466 | − | 0.0466728i | |||||
1.25767e6 | − | 2.17836e6i | 0.108643 | − | 0.188176i | |||||
−7.46824e6 | − | 1.29354e7i | −0.642734 | − | 1.11325i | |||||
−2.71994e6 | −0.233213 | |||||||||
0 | 0 | |||||||||
−7.97959e6 | −0.679114 | −0.339557 | − | 0.940585i | ||||||
−0.339557 | + | 0.940585i | ||||||||
−5.24634e6 | − | 9.08693e6i | −0.444843 | − | 0.770491i | |||||
2.76536e6 | − | 4.78975e6i | 0.233611 | − | 0.404625i | |||||
−2.22001e6 | + | 3.84516e6i | −0.186847 | + | 0.323629i | |||||
2.54190e6 | + | 4.40271e6i | 0.213151 | + | 0.369188i | 0.952699 | − | 0.303915i | ||
−0.739548 | + | 0.673104i | ||||||||
5.66164e6 | 0.473007 | |||||||||
0 | 0 | |||||||||
8.56639e6 | 0.710437 | |||||||||
5.50578e6 | + | 9.53629e6i | 0.454937 | + | 0.787974i | |||||
−2.70208e6 | + | 4.68014e6i | −0.222453 | + | 0.385299i | |||||
8.01654e6 | − | 1.38850e7i | 0.657559 | − | 1.13893i | −0.323686 | − | 0.946165i | ||
0.981246 | − | 0.192762i | ||||||||
−178444. | − | 309074.i | −0.0145835 | − | 0.0252594i | |||||
−2.33554e7 | −1.90179 | |||||||||
0 | 0 | |||||||||
2.29297e6 | 0.185356 | |||||||||
1.49865e6 | + | 2.59574e6i | 0.120706 | + | 0.209069i | |||||
7.11349e6 | − | 1.23209e7i | 0.570867 | − | 0.988770i | |||||
7.07284e6 | − | 1.22505e7i | 0.565550 | − | 0.979562i | |||||
−5.50657e6 | − | 9.53766e6i | −0.438719 | − | 0.759883i | 0.558872 | − | 0.829254i | ||
−0.997591 | + | 0.0693705i | ||||||||
−6.34044e6 | −0.503331 | |||||||||
0 | 0 | |||||||||
−904935. | −0.0713212 | |||||||||
1.69721e7 | + | 2.93965e7i | 1.33283 | + | 2.30852i | |||||
−353525. | + | 612324.i | −0.0276629 | + | 0.0479135i | |||||
−1.17735e7 | + | 2.03923e7i | −0.917961 | + | 1.58996i | |||||
2.92560e6 | + | 5.06728e6i | 0.227288 | + | 0.393674i | |||||
−6.71555e6 | −0.519863 | |||||||||
0 | 0 | |||||||||
−3.10660e6 | −0.238776 | −0.119388 | − | 0.992848i | ||||||
−0.119388 | + | 0.992848i | ||||||||
1.17439e6 | + | 2.03410e6i | 0.0899431 | + | 0.155786i | |||||
1.25000e6 | − | 2.16507e6i | 0.0953943 | − | 0.165228i | |||||
−491911. | + | 852015.i | −0.0374072 | + | 0.0647911i | |||||
−1.07346e7 | − | 1.85929e7i | −0.813418 | − | 1.40888i | |||||
1.12383e7 | 0.848571 | |||||||||
0 | 0 | |||||||||
2.64619e6 | 0.198398 | |||||||||
6.90180e6 | + | 1.19543e7i | 0.515640 | + | 0.893115i | 0.999835 | + | 0.0181549i | ||
−0.484195 | + | 0.874960i | ||||||||
1.31306e7 | − | 2.27428e7i | 0.977547 | − | 1.69316i | |||||
1.96684e6 | − | 3.40667e6i | 0.145914 | − | 0.252730i | |||||
−3.46771e6 | − | 6.00625e6i | −0.256355 | − | 0.444021i | |||||
−2.13552e7 | −1.57319 | |||||||||
0 | 0 | |||||||||
2.00235e7 | 1.46479 | |||||||||
−1.95107e6 | − | 3.37935e6i | −0.142230 | − | 0.246349i | |||||
1.44466e6 | − | 2.50223e6i | 0.104947 | − | 0.181773i | |||||
−7.39800e6 | + | 1.28137e7i | −0.535554 | + | 0.927607i | |||||
−6.49275e6 | − | 1.12458e7i | −0.468389 | − | 0.811273i | 0.530959 | − | 0.847398i | ||
−0.999347 | + | 0.0361248i | ||||||||
−2.14612e6 | −0.154285 | |||||||||
0 | 0 | |||||||||
9.60107e6 | 0.685451 | |||||||||
−5.59141e6 | − | 9.68461e6i | −0.397810 | − | 0.689027i | |||||
−2.39418e6 | + | 4.14685e6i | −0.169751 | + | 0.294017i | |||||
−4.65642e6 | + | 8.06516e6i | −0.329009 | + | 0.569860i | |||||
1.86047e6 | + | 3.22242e6i | 0.131003 | + | 0.226904i | |||||
8.61224e6 | 0.604338 | 0.302169 | − | 0.953254i | ||||||
0.302169 | + | 0.953254i | ||||||||
0 | 0 | |||||||||
531441. | 0.0370370 | |||||||||
−1.09671e7 | − | 1.89956e7i | −0.761700 | − | 1.31930i | |||||
7.57092e6 | − | 1.31132e7i | 0.524029 | − | 0.907645i | |||||
−815334. | + | 1.41220e6i | −0.0562416 | + | 0.0974134i | |||||
3.01000e6 | + | 5.21348e6i | 0.206922 | + | 0.358400i | 0.950743 | − | 0.309979i | ||
−0.743821 | + | 0.668379i | ||||||||
4.67698e6 | 0.320424 | |||||||||
0 | 0 | |||||||||
−3.88769e6 | −0.264544 | |||||||||
−4.33297e6 | − | 7.50492e6i | −0.293844 | − | 0.508952i | |||||
2.94960e6 | − | 5.10886e6i | 0.199353 | − | 0.345289i | |||||
46846.3 | − | 81140.1i | 0.00315547 | − | 0.00546543i | −0.864443 | − | 0.502730i | ||
0.867599 | + | 0.497265i | ||||||||
−7.51681e6 | − | 1.30195e7i | −0.504608 | − | 0.874007i | |||||
1.99629e6 | 0.133560 | |||||||||
0 | 0 | |||||||||
−1.29874e7 | −0.863081 | −0.431541 | − | 0.902094i | ||||||
−0.431541 | + | 0.902094i | ||||||||
1.61996e6 | + | 2.80585e6i | 0.107293 | + | 0.185837i | |||||
8.48735e6 | − | 1.47005e7i | 0.560250 | − | 0.970381i | |||||
−9.15380e6 | + | 1.58549e7i | −0.602219 | + | 1.04307i | |||||
4.58302e6 | + | 7.93803e6i | 0.300504 | + | 0.520489i | |||||
4.97009e6 | 0.324796 | |||||||||
0 | 0 | |||||||||
−1.66240e7 | −1.07915 | |||||||||
318720. | + | 552040.i | 0.0206210 | + | 0.0357166i | 0.876152 | − | 0.482035i | ||
−0.855531 | + | 0.517752i | ||||||||
−2.95022e6 | + | 5.10993e6i | −0.190244 | + | 0.329511i | |||||
−3.10606e6 | + | 5.37985e6i | −0.199628 | + | 0.345766i | |||||
−1.97748e6 | − | 3.42509e6i | −0.126673 | − | 0.219403i | |||||
−6.44880e6 | −0.411729 | |||||||||
0 | 0 | |||||||||
−4.86768e6 | −0.308732 | −0.154366 | − | 0.988014i | ||||||
−0.154366 | + | 0.988014i | ||||||||
−4.71040e6 | − | 8.15866e6i | −0.297773 | − | 0.515758i | |||||
4.10356e6 | − | 7.10757e6i | 0.258557 | − | 0.447834i | |||||
−912026. | + | 1.57967e6i | −0.0572760 | + | 0.0992050i | |||||
2.90894e6 | + | 5.03842e6i | 0.182084 | + | 0.315379i | 0.942590 | − | 0.333952i | ||
−0.760506 | + | 0.649331i | ||||||||
−3.32918e6 | −0.207706 | |||||||||
0 | 0 | |||||||||
−1.24319e7 | −0.770558 | |||||||||
5.42092e6 | + | 9.38930e6i | 0.334903 | + | 0.580069i | |||||
−6.07891e6 | + | 1.05290e7i | −0.374329 | + | 0.648358i | |||||
−7.40085e6 | + | 1.28186e7i | −0.454248 | + | 0.786781i | |||||
294912. | + | 510803.i | 0.0180422 | + | 0.0312500i | |||||
−1.94310e7 | −1.18490 | −0.592448 | − | 0.805609i | ||||||
−0.592448 | + | 0.805609i | ||||||||
0 | 0 | |||||||||
124080. | 0.00751738 | |||||||||
−2.21137e6 | − | 3.83020e6i | −0.133542 | − | 0.231302i | |||||
4.12089e6 | − | 7.13760e6i | 0.248052 | − | 0.429639i | −0.714933 | − | 0.699193i | ||
0.962985 | + | 0.269554i | ||||||||
−1.89673e6 | + | 3.28524e6i | −0.113803 | + | 0.197112i | |||||
2.13372e7 | + | 3.69570e7i | 1.27609 | + | 2.21026i | |||||
6.37704e6 | 0.380159 | |||||||||
0 | 0 | |||||||||
1.83709e6 | 0.108813 | |||||||||
−2.50695e6 | − | 4.34216e6i | −0.148014 | − | 0.256367i | |||||
6.00227e6 | − | 1.03962e7i | 0.353247 | − | 0.611843i | |||||
7.61816e6 | − | 1.31950e7i | 0.446913 | − | 0.774076i | |||||
9.81996e6 | + | 1.70087e7i | 0.574239 | + | 0.994611i | |||||
−894861. | −0.0521616 | |||||||||
0 | 0 | |||||||||
−2.48194e7 | −1.43753 | |||||||||
−1.30191e6 | − | 2.25498e6i | −0.0751666 | − | 0.130192i | |||||
−7.39314e6 | + | 1.28053e7i | −0.425493 | + | 0.736975i | −0.996466 | − | 0.0839932i | ||
0.570973 | + | 0.820969i | ||||||||
1.05292e6 | − | 1.82372e6i | 0.0604061 | − | 0.104626i | |||||
2.58675e6 | + | 4.48038e6i | 0.147932 | + | 0.256226i | |||||
−2.01050e7 | −1.14614 | |||||||||
0 | 0 | |||||||||
−1.24515e6 | −0.0705356 | |||||||||
−4.56065e6 | − | 7.89927e6i | −0.257539 | − | 0.446071i | |||||
−1.08500e7 | + | 1.87928e7i | −0.610772 | + | 1.05789i | |||||
−8.22625e6 | + | 1.42483e7i | −0.461619 | + | 0.799548i | |||||
4.51968e6 | + | 7.82832e6i | 0.252828 | + | 0.437911i | |||||
1.58158e7 | 0.881956 | 0.440978 | − | 0.897518i | ||||||
0.440978 | + | 0.897518i | ||||||||
0 | 0 | |||||||||
2.98080e7 | 1.65183 | |||||||||
3.88440e6 | + | 6.72799e6i | 0.214585 | + | 0.371672i | |||||
4.38882e6 | − | 7.60166e6i | 0.241694 | − | 0.418627i | |||||
4.22254e6 | − | 7.31366e6i | 0.231813 | − | 0.401512i | |||||
−6.36294e6 | − | 1.10209e7i | −0.348232 | − | 0.603156i | |||||
−5.19543e6 | −0.283453 | |||||||||
0 | 0 | |||||||||
−1.81228e7 | −0.982625 | |||||||||
5.03518e6 | + | 8.72118e6i | 0.272164 | + | 0.471402i | |||||
−5.28639e6 | + | 9.15630e6i | −0.284860 | + | 0.493392i | |||||
−5.96518e6 | + | 1.03320e7i | −0.320444 | + | 0.555026i | −0.980580 | − | 0.196121i | ||
0.660136 | + | 0.751147i | ||||||||
−1.35809e6 | − | 2.35229e6i | −0.0727306 | − | 0.125973i | |||||
−1.89393e7 | −1.01114 | −0.505571 | − | 0.862785i | ||||||
−0.505571 | + | 0.862785i | ||||||||
0 | 0 | |||||||||
6.25382e6 | 0.331833 | |||||||||
−4.36114e6 | − | 7.55372e6i | −0.230696 | − | 0.399576i | |||||
−2.26036e7 | + | 3.91505e7i | −1.19202 | + | 2.06464i | |||||
1.48984e6 | − | 2.58048e6i | 0.0783276 | − | 0.135667i | |||||
1.61209e6 | + | 2.79221e6i | 0.0844954 | + | 0.146350i | |||||
1.02298e7 | 0.534544 | |||||||||
0 | 0 | |||||||||
−3.01507e7 | −1.56590 | |||||||||
−1.60044e7 | − | 2.77204e7i | −0.828667 | − | 1.43529i | −0.899084 | − | 0.437776i | ||
0.0704167 | − | 0.997518i | ||||||||
−4.06192e6 | + | 7.03544e6i | −0.209677 | + | 0.363172i | |||||
−1.80715e7 | + | 3.13008e7i | −0.930025 | + | 1.61085i | −0.146753 | + | 0.989173i | ||
−0.783273 | + | 0.621678i | ||||||||
3.43191e6 | + | 5.94424e6i | 0.176083 | + | 0.304985i | |||||
−1.64004e7 | −0.838916 | |||||||||
0 | 0 | |||||||||
−2.45831e7 | −1.24989 | −0.624946 | − | 0.780668i | ||||||
−0.624946 | + | 0.780668i | ||||||||
−2.46018e6 | − | 4.26116e6i | −0.124707 | − | 0.215999i | |||||
1.05212e7 | − | 1.82232e7i | 0.531715 | − | 0.920957i | −0.467600 | − | 0.883940i | ||
0.999315 | − | 0.0370169i | ||||||||
2.34238e7 | − | 4.05712e7i | 1.18022 | − | 2.04419i | |||||
−3.76944e6 | − | 6.52886e6i | −0.189354 | − | 0.327971i | |||||
−3.29923e6 | −0.165236 | |||||||||
0 | 0 | |||||||||
1.18070e7 | 0.587791 | |||||||||
−2.01027e6 | − | 3.48189e6i | −0.0997787 | − | 0.172822i | |||||
−529144. | + | 916504.i | −0.0261853 | + | 0.0453543i | |||||
−2.05026e6 | + | 3.55116e6i | −0.101157 | + | 0.175209i | |||||
−4.34802e6 | − | 7.53099e6i | −0.213885 | − | 0.370460i | |||||
−1.12403e7 | −0.551283 | −0.275642 | − | 0.961260i | ||||||
−0.275642 | + | 0.961260i | ||||||||
0 | 0 | |||||||||
−1.90043e7 | −0.926537 | |||||||||
−1.09586e7 | − | 1.89809e7i | −0.532691 | − | 0.922647i | |||||
−4.12959e6 | + | 7.15266e6i | −0.200142 | + | 0.346656i | |||||
−2.50910e6 | + | 4.34588e6i | −0.121244 | + | 0.210001i | |||||
1.43603e7 | + | 2.48728e7i | 0.691866 | + | 1.19835i | |||||
−7.46775e6 | −0.358727 | |||||||||
0 | 0 | |||||||||
4.52168e6 | 0.215928 | |||||||||
1.86868e6 | + | 3.23666e6i | 0.0889748 | + | 0.154109i | |||||
1.96233e7 | − | 3.39886e7i | 0.931591 | − | 1.61356i | |||||
1.72336e7 | − | 2.98494e7i | 0.815739 | − | 1.41290i | |||||
−4.56727e6 | − | 7.91074e6i | −0.215555 | − | 0.373352i | |||||
2.63779e7 | 1.24127 | 0.620636 | − | 0.784099i | ||||||
0.620636 | + | 0.784099i | ||||||||
0 | 0 | |||||||||
−2.30856e6 | −0.108001 | |||||||||
−3.11751e6 | − | 5.39969e6i | −0.145420 | − | 0.251875i | |||||
2.13331e7 | − | 3.69501e7i | 0.992208 | − | 1.71855i | 0.388201 | − | 0.921575i | ||
0.604006 | − | 0.796979i | ||||||||
3.48243e6 | − | 6.03175e6i | 0.161497 | − | 0.279721i | |||||
1.46309e7 | + | 2.53414e7i | 0.676530 | + | 1.17179i | 0.976019 | + | 0.217685i | ||
−0.299489 | + | 0.954100i | ||||||||
1.93883e7 | 0.893911 | |||||||||
0 | 0 | |||||||||
2.46750e7 | 1.13107 | |||||||||
−6.97238e6 | − | 1.20765e7i | −0.318680 | − | 0.551969i | 0.661533 | − | 0.749916i | ||
−0.980213 | + | 0.197947i | ||||||||
−373248. | + | 646484.i | −0.0170103 | + | 0.0294628i | |||||
−2.05069e7 | + | 3.55189e7i | −0.931877 | + | 1.61406i | |||||
−9.79192e6 | − | 1.69601e7i | −0.443683 | − | 0.768482i | |||||
−2.27412e6 | −0.102746 | |||||||||
0 | 0 | |||||||||
−1.16646e7 | −0.523988 | |||||||||
2.28681e6 | + | 3.96087e6i | 0.102431 | + | 0.177416i | |||||
1.45305e7 | − | 2.51676e7i | 0.648988 | − | 1.12408i | |||||
1.89783e6 | − | 3.28714e6i | 0.0845213 | − | 0.146395i | |||||
4.03547e6 | + | 6.98964e6i | 0.179208 | + | 0.310398i | |||||
−4.18195e6 | −0.185183 | |||||||||
0 | 0 | |||||||||
−7.62946e6 | −0.335918 | |||||||||
−1.70386e6 | − | 2.95117e6i | −0.0748057 | − | 0.129567i | 0.826196 | − | 0.563383i | ||
−0.901002 | + | 0.433815i | ||||||||
7.09175e6 | − | 1.22833e7i | 0.310468 | − | 0.537747i | |||||
5.46710e6 | − | 9.46929e6i | 0.238663 | − | 0.413376i | |||||
3.18197e6 | + | 5.51134e6i | 0.138513 | + | 0.239911i | |||||
3.51391e6 | 0.152528 | 0.0762641 | − | 0.997088i | ||||||
0.0762641 | + | 0.997088i | ||||||||
0 | 0 | |||||||||
2.14895e7 | 0.927524 | 0.463762 | − | 0.885960i | ||||||
0.463762 | + | 0.885960i | ||||||||
8.33357e6 | + | 1.44342e7i | 0.358675 | + | 0.621242i | |||||
8.55855e6 | − | 1.48239e7i | 0.367318 | − | 0.636213i | |||||
1.21130e7 | − | 2.09804e7i | 0.518404 | − | 0.897903i | |||||
1.22678e7 | + | 2.12485e7i | 0.523550 | + | 0.906816i | 0.999624 | + | 0.0274107i | ||
−0.476074 | + | 0.879405i | ||||||||
−5.22921e6 | −0.222538 | |||||||||
0 | 0 | |||||||||
−4.48624e7 | −1.89849 | |||||||||
−787946. | − | 1.36476e6i | −0.0332508 | − | 0.0575921i | |||||
−2.23587e6 | + | 3.87263e6i | −0.0940879 | + | 0.162965i | |||||
−3.17352e6 | + | 5.49671e6i | −0.133172 | + | 0.230661i | |||||
−2.95220e6 | − | 5.11335e6i | −0.123538 | − | 0.213974i | |||||
−2.52413e7 | −1.05331 | |||||||||
0 | 0 | |||||||||
2.75225e7 | 1.14211 | |||||||||
−2.41602e6 | − | 4.18466e6i | −0.0999791 | − | 0.173169i | |||||
3.45231e6 | − | 5.97958e6i | 0.142466 | − | 0.246758i | |||||
−4.91620e6 | + | 8.51511e6i | −0.202313 | + | 0.350416i | |||||
−1.14214e7 | − | 1.97824e7i | −0.468711 | − | 0.811832i | |||||
−1.74930e7 | −0.715894 | |||||||||
0 | 0 | |||||||||
−1.00651e7 | −0.409636 | |||||||||
1.54870e7 | + | 2.68243e7i | 0.628559 | + | 1.08870i | |||||
−1.12156e6 | + | 1.94260e6i | −0.0453943 | + | 0.0786252i | |||||
4.07073e6 | − | 7.05071e6i | 0.164306 | − | 0.284587i | −0.772102 | − | 0.635498i | ||
0.936409 | + | 0.350911i | ||||||||
−9.78806e6 | − | 1.69534e7i | −0.393987 | − | 0.682405i | |||||
−1.33812e7 | −0.537137 | |||||||||
0 | 0 | |||||||||
1.01384e7 | 0.404739 | 0.202370 | − | 0.979309i | ||||||
0.202370 | + | 0.979309i | ||||||||
317234. | + | 549465.i | 0.0126297 | + | 0.0218753i | |||||
1.35901e7 | − | 2.35388e7i | 0.539569 | − | 0.934560i | |||||
−1.09310e7 | + | 1.89331e7i | −0.432807 | + | 0.749644i | |||||
5.27407e6 | + | 9.13495e6i | 0.208254 | + | 0.360706i | |||||
−4.07639e6 | −0.160523 | |||||||||
0 | 0 | |||||||||
3.77116e6 | 0.147696 | |||||||||
5.05880e6 | + | 8.76211e6i | 0.197587 | + | 0.342231i | 0.947746 | − | 0.319027i | ||
−0.750158 | + | 0.661258i | ||||||||
−1.25739e7 | + | 2.17787e7i | −0.489781 | + | 0.848325i | |||||
1.17054e7 | − | 2.02743e7i | 0.454712 | − | 0.787584i | |||||
−2.31912e6 | − | 4.01683e6i | −0.0898454 | − | 0.155617i | |||||
5.10948e7 | 1.97412 | |||||||||
0 | 0 | |||||||||
−6.88760e7 | −2.64676 | |||||||||
−8.62669e6 | − | 1.49419e7i | −0.330611 | − | 0.572634i | |||||
−4.34351e6 | + | 7.52318e6i | −0.166013 | + | 0.287543i | |||||
628489. | − | 1.08858e6i | 0.0239568 | − | 0.0414943i | |||||
1.02555e7 | + | 1.77631e7i | 0.389870 | + | 0.675274i | 0.992432 | − | 0.122798i | ||
−0.602562 | + | 0.798072i | ||||||||
2.09577e7 | 0.794579 | |||||||||
0 | 0 | |||||||||
1.19388e7 | 0.450215 | |||||||||
3.68624e6 | + | 6.38475e6i | 0.138637 | + | 0.240126i | |||||
1.19785e7 | − | 2.07473e7i | 0.449298 | − | 0.778206i | |||||
1.60748e7 | − | 2.78423e7i | 0.601333 | − | 1.04154i | |||||
−2.08780e6 | − | 3.61617e6i | −0.0778930 | − | 0.134915i | |||||
1.46527e7 | 0.545218 | 0.272609 | − | 0.962125i | ||||||
0.272609 | + | 0.962125i | ||||||||
0 | 0 | |||||||||
−7.93745e6 | −0.293777 | |||||||||
1.90838e7 | + | 3.30541e7i | 0.704441 | + | 1.22013i | |||||
1.29670e7 | − | 2.24596e7i | 0.477382 | − | 0.826851i | −0.522282 | − | 0.852773i | ||
0.999664 | + | 0.0259225i | ||||||||
−4.31652e6 | + | 7.47643e6i | −0.158492 | + | 0.274515i | |||||
−3.45629e7 | − | 5.98647e7i | −1.26570 | − | 2.19226i | |||||
−4.70433e6 | −0.171818 | |||||||||
0 | 0 | |||||||||
1.12488e7 | 0.408676 | |||||||||
−5.22448e6 | − | 9.04906e6i | −0.189307 | − | 0.327890i | 0.755712 | − | 0.654904i | ||
−0.945020 | + | 0.327014i | ||||||||
−3.49661e6 | + | 6.05630e6i | −0.126365 | + | 0.218870i | |||||
2.13381e7 | − | 3.69586e7i | 0.769111 | − | 1.33214i | |||||
4.17842e6 | + | 7.23723e6i | 0.150211 | + | 0.260174i | |||||
1.44394e7 | 0.517725 | |||||||||
0 | 0 | |||||||||
1.15666e6 | 0.0412548 | 0.0206274 | − | 0.999787i | ||||||
0.0206274 | + | 0.999787i | ||||||||
2.86137e6 | + | 4.95604e6i | 0.101790 | + | 0.176305i | |||||
−4.02086e7 | + | 6.96433e7i | −1.42663 | + | 2.47099i | |||||
−2.56829e6 | + | 4.44841e6i | −0.0908865 | + | 0.157420i | |||||
1.32677e6 | + | 2.29804e6i | 0.0468292 | + | 0.0811106i | |||||
1.41861e7 | 0.499400 | |||||||||
0 | 0 | |||||||||
3.81533e6 | 0.133615 | |||||||||
−1.50497e6 | − | 2.60668e6i | −0.0525677 | − | 0.0910500i | |||||
1.46250e7 | − | 2.53313e7i | 0.509518 | − | 0.882511i | |||||
3.94560e6 | − | 6.83399e6i | 0.137103 | − | 0.237470i | |||||
9.94029e6 | + | 1.72171e7i | 0.344514 | + | 0.596715i | |||||
−2.86089e7 | −0.988969 | |||||||||
0 | 0 | |||||||||
2.00516e7 | 0.689577 | 0.344789 | − | 0.938680i | ||||||
0.344789 | + | 0.938680i | ||||||||
−3.30750e6 | − | 5.72876e6i | −0.113452 | − | 0.196504i | |||||
1.60261e6 | − | 2.77580e6i | 0.0548300 | − | 0.0949684i | |||||
2.06252e7 | − | 3.57240e7i | 0.703833 | − | 1.21907i | |||||
3.05104e6 | + | 5.28456e6i | 0.103849 | + | 0.179871i | 0.913267 | − | 0.407361i | ||
−0.809419 | + | 0.587232i | ||||||||
−944784. | −0.0320750 | |||||||||
0 | 0 | |||||||||
3.51328e7 | 1.18663 | |||||||||
−2.74992e7 | − | 4.76300e7i | −0.926422 | − | 1.60461i | |||||
1.44948e6 | − | 2.51058e6i | 0.0487067 | − | 0.0843625i | |||||
−6.83716e6 | + | 1.18423e7i | −0.229160 | + | 0.396917i | −0.957559 | − | 0.288236i | ||
0.728399 | + | 0.685153i | ||||||||
7.86230e6 | + | 1.36179e7i | 0.262847 | + | 0.455264i | |||||
−2.60285e7 | −0.867945 | |||||||||
0 | 0 | |||||||||
4.80388e6 | 0.159375 | |||||||||
−1.17322e6 | − | 2.03207e6i | −0.0388239 | − | 0.0672450i | |||||
−8.35164e6 | + | 1.44655e7i | −0.275669 | + | 0.477473i | −0.970304 | − | 0.241890i | ||
0.694635 | + | 0.719363i | ||||||||
−5.24374e6 | + | 9.08242e6i | −0.172645 | + | 0.299029i | |||||
−6.81093e6 | − | 1.17969e7i | −0.223674 | − | 0.387415i | |||||
−6.35003e6 | −0.208010 | |||||||||
0 | 0 | |||||||||
−3.54896e6 | −0.115667 | |||||||||
2.22256e7 | + | 3.84958e7i | 0.722540 | + | 1.25148i | |||||
−4.02718e6 | + | 6.97529e6i | −0.130591 | + | 0.226190i | |||||
−2.87453e7 | + | 4.97883e7i | −0.929785 | + | 1.61044i | −0.146107 | + | 0.989269i | ||
−0.783679 | + | 0.621166i | ||||||||
−2.87993e6 | − | 4.98819e6i | −0.0929186 | − | 0.160940i | |||||
−9.02772e6 | −0.290539 | |||||||||
0 | 0 | |||||||||
5.84720e7 | 1.87236 | |||||||||
−8.14760e6 | − | 1.41121e7i | −0.260244 | − | 0.450756i | |||||
1.97244e7 | − | 3.41637e7i | 0.628444 | − | 1.08850i | −0.359420 | − | 0.933176i | ||
0.987864 | − | 0.155321i | ||||||||
−1.91954e7 | + | 3.32475e7i | −0.610059 | + | 1.05665i | |||||
−3.30911e6 | − | 5.73155e6i | −0.104905 | − | 0.181701i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 294.6.e.z.67.2 | 4 | ||
7.2 | even | 3 | inner | 294.6.e.z.79.2 | 4 | ||
7.3 | odd | 6 | 294.6.a.q.1.2 | yes | 2 | ||
7.4 | even | 3 | 294.6.a.n.1.1 | ✓ | 2 | ||
7.5 | odd | 6 | 294.6.e.x.79.1 | 4 | |||
7.6 | odd | 2 | 294.6.e.x.67.1 | 4 | |||
21.11 | odd | 6 | 882.6.a.bu.1.2 | 2 | |||
21.17 | even | 6 | 882.6.a.bk.1.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
294.6.a.n.1.1 | ✓ | 2 | 7.4 | even | 3 | ||
294.6.a.q.1.2 | yes | 2 | 7.3 | odd | 6 | ||
294.6.e.x.67.1 | 4 | 7.6 | odd | 2 | |||
294.6.e.x.79.1 | 4 | 7.5 | odd | 6 | |||
294.6.e.z.67.2 | 4 | 1.1 | even | 1 | trivial | ||
294.6.e.z.79.2 | 4 | 7.2 | even | 3 | inner | ||
882.6.a.bk.1.1 | 2 | 21.17 | even | 6 | |||
882.6.a.bu.1.2 | 2 | 21.11 | odd | 6 |