Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [338,4,Mod(23,338)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(338, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("338.23");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 338.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 |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 23.9 | ||
Character | 338.23 | ||
Dual form | 338.4.e.i.147.9 |
-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 .
1.73205 | − | 1.00000i | 0.612372 | − | 0.353553i | |||||
−1.67908 | − | 2.90825i | −0.323139 | − | 0.559692i | 0.657995 | − | 0.753022i | ||
−0.981134 | + | 0.193330i | ||||||||
2.00000 | − | 3.46410i | 0.250000 | − | 0.433013i | |||||
6.80407i | 0.608574i | 0.952580 | + | 0.304287i | ||||||
−0.952580 | + | 0.304287i | ||||||||
−5.81649 | − | 3.35815i | −0.395762 | − | 0.228493i | |||||
13.4563 | + | 7.76902i | 0.726574 | + | 0.419487i | 0.817167 | − | 0.576400i | ||
−0.0905938 | + | 0.995888i | ||||||||
− | 8.00000i | − | 0.353553i | |||||||
7.86140 | − | 13.6163i | 0.291163 | − | 0.504309i | |||||
6.80407 | + | 11.7850i | 0.215163 | + | 0.372674i | |||||
−16.9750 | + | 9.80052i | −0.465287 | + | 0.268633i | −0.714265 | − | 0.699876i | ||
0.248978 | + | 0.968509i | ||||||||
−13.4326 | −0.323139 | |||||||||
0 | 0 | |||||||||
31.0761 | 0.593245 | |||||||||
19.7879 | − | 11.4246i | 0.340614 | − | 0.196654i | |||||
−8.00000 | − | 13.8564i | −0.125000 | − | 0.216506i | |||||
62.9859 | − | 109.095i | 0.898607 | − | 1.55643i | 0.0693317 | − | 0.997594i | ||
0.829276 | − | 0.558840i | ||||||||
− | 31.4456i | − | 0.411767i | |||||||
84.1839 | + | 48.6036i | 1.01648 | + | 0.586865i | 0.913082 | − | 0.407776i | ||
0.103397 | + | 0.994640i | ||||||||
23.5700 | + | 13.6081i | 0.263520 | + | 0.152144i | |||||
− | 52.1791i | − | 0.542210i | |||||||
−19.6010 | + | 33.9500i | −0.189953 | + | 0.329007i | |||||
64.9251 | + | 112.454i | 0.588600 | + | 1.01949i | 0.994416 | + | 0.105531i | ||
−0.405816 | + | 0.913955i | ||||||||
−23.2660 | + | 13.4326i | −0.197881 | + | 0.114247i | |||||
78.7047 | 0.629637 | |||||||||
0 | 0 | |||||||||
−143.470 | −1.02262 | |||||||||
53.8253 | − | 31.0761i | 0.363287 | − | 0.209744i | |||||
−73.9704 | − | 128.121i | −0.473654 | − | 0.820393i | 0.525891 | − | 0.850552i | ||
−0.999545 | + | 0.0301591i | ||||||||
22.8491 | − | 39.5758i | 0.139055 | − | 0.240851i | |||||
− | 172.602i | − | 1.00001i | −0.866023 | − | 0.500004i | ||||
0.866023 | − | 0.500004i | ||||||||
−27.7128 | − | 16.0000i | −0.153093 | − | 0.0883883i | |||||
57.0047 | + | 32.9117i | 0.300704 | + | 0.173612i | |||||
− | 251.944i | − | 1.27082i | |||||||
−52.8609 | + | 91.5578i | −0.255289 | + | 0.442174i | |||||
−31.4456 | − | 54.4654i | −0.145581 | − | 0.252155i | |||||
191.625 | − | 110.635i | 0.851430 | − | 0.491573i | −0.00970317 | − | 0.999953i | ||
0.861133 | + | 0.508380i | ||||||||
194.414 | 0.829952 | |||||||||
0 | 0 | |||||||||
54.4325 | 0.215163 | |||||||||
−24.3297 | + | 14.0468i | −0.0926746 | + | 0.0535057i | −0.545621 | − | 0.838032i | ||
0.452946 | + | 0.891538i | ||||||||
−52.1791 | − | 90.3769i | −0.191700 | − | 0.332035i | |||||
180.884 | − | 313.301i | 0.641502 | − | 1.11111i | −0.343596 | − | 0.939118i | ||
0.985098 | − | 0.171996i | ||||||||
78.4042i | 0.268633i | |||||||||
92.6465 | + | 53.4895i | 0.306910 | + | 0.177194i | |||||
224.907 | + | 129.850i | 0.720885 | + | 0.416203i | |||||
− | 456.486i | − | 1.41671i | −0.705857 | − | 0.708354i | ||||
0.705857 | − | 0.708354i | ||||||||
−26.8652 | + | 46.5319i | −0.0807846 | + | 0.139923i | |||||
−50.7848 | − | 87.9618i | −0.148061 | − | 0.256448i | |||||
136.321 | − | 78.7047i | 0.385573 | − | 0.222610i | |||||
−423.033 | −1.16150 | |||||||||
0 | 0 | |||||||||
−643.067 | −1.66664 | −0.833321 | − | 0.552789i | ||||||
−0.833321 | + | 0.552789i | ||||||||
−248.497 | + | 143.470i | −0.626225 | + | 0.361551i | |||||
−66.6834 | − | 115.499i | −0.163483 | − | 0.283162i | |||||
62.1521 | − | 107.651i | 0.148311 | − | 0.256883i | |||||
− | 326.437i | − | 0.758554i | |||||||
−256.241 | − | 147.941i | −0.580105 | − | 0.334924i | |||||
269.267 | + | 155.461i | 0.594163 | + | 0.343040i | 0.766742 | − | 0.641956i | ||
−0.172579 | + | 0.984996i | ||||||||
− | 91.3964i | − | 0.196654i | |||||||
−405.728 | + | 702.742i | −0.851610 | + | 1.47503i | 0.0281456 | + | 0.999604i | ||
−0.879755 | + | 0.475427i | ||||||||
−172.602 | − | 298.956i | −0.353556 | − | 0.612378i | |||||
211.571 | − | 122.151i | 0.423103 | − | 0.244278i | |||||
−64.0000 | −0.125000 | |||||||||
0 | 0 | |||||||||
131.647 | 0.245524 | |||||||||
6.06611 | − | 3.50227i | 0.0110611 | − | 0.00638612i | −0.494459 | − | 0.869201i | ||
0.505520 | + | 0.862815i | ||||||||
−251.944 | − | 436.379i | −0.449304 | − | 0.778217i | |||||
218.028 | − | 377.636i | 0.380399 | − | 0.658870i | |||||
211.444i | 0.361034i | |||||||||
736.799 | + | 425.391i | 1.23158 | + | 0.711051i | 0.967358 | − | 0.253412i | ||
0.264218 | + | 0.964463i | ||||||||
−108.931 | − | 62.8912i | −0.178300 | − | 0.102942i | |||||
1127.56i | 1.80782i | 0.427728 | + | 0.903908i | ||||||
−0.427728 | + | 0.903908i | ||||||||
221.269 | − | 383.249i | 0.347595 | − | 0.602052i | |||||
−132.151 | − | 228.893i | −0.203460 | − | 0.352403i | |||||
336.735 | − | 194.414i | 0.508240 | − | 0.293432i | |||||
−304.562 | −0.450754 | |||||||||
0 | 0 | |||||||||
278.080 | 0.396031 | 0.198015 | − | 0.980199i | ||||||
0.198015 | + | 0.980199i | ||||||||
94.2799 | − | 54.4325i | 0.131760 | − | 0.0760718i | |||||
28.6389 | + | 49.6041i | 0.0392852 | + | 0.0680440i | |||||
−28.0935 | + | 48.6594i | −0.0378343 | + | 0.0655309i | |||||
− | 417.276i | − | 0.551832i | −0.961182 | − | 0.275916i | ||||
0.961182 | − | 0.275916i | ||||||||
−180.754 | − | 104.358i | −0.234784 | − | 0.135553i | |||||
742.288 | + | 428.560i | 0.947205 | + | 0.546869i | |||||
− | 723.537i | − | 0.907221i | |||||||
−248.404 | + | 430.249i | −0.306112 | + | 0.530201i | |||||
78.4042 | + | 135.800i | 0.0949763 | + | 0.164504i | |||||
280.827 | − | 162.136i | 0.334467 | − | 0.193105i | −0.323355 | − | 0.946278i | ||
0.657823 | + | 0.753173i | ||||||||
213.958 | 0.250591 | |||||||||
0 | 0 | |||||||||
519.401 | 0.588600 | |||||||||
−501.970 | + | 289.812i | −0.559697 | + | 0.323141i | |||||
−456.486 | − | 790.657i | −0.500882 | − | 0.867553i | |||||
−330.702 | + | 572.793i | −0.357151 | + | 0.618603i | |||||
107.461i | 0.114247i | |||||||||
71.0986 | + | 41.0488i | 0.0744224 | + | 0.0429678i | 0.536749 | − | 0.843742i | ||
−0.462327 | + | 0.886709i | ||||||||
−175.924 | − | 101.570i | −0.181336 | − | 0.104695i | |||||
308.183i | 0.312865i | |||||||||
157.409 | − | 272.641i | 0.157409 | − | 0.272641i | |||||
358.261 | + | 620.526i | 0.352953 | + | 0.611333i | 0.986765 | − | 0.162154i | ||
−0.633812 | + | 0.773487i | ||||||||
−732.714 | + | 423.033i | −0.711270 | + | 0.410652i | |||||
935.493 | 0.894921 | 0.447460 | − | 0.894304i | ||||||
0.447460 | + | 0.894304i | ||||||||
0 | 0 | |||||||||
355.030 | 0.329975 | |||||||||
−1113.82 | + | 643.067i | −1.02061 | + | 0.589247i | |||||
599.382 | + | 1038.16i | 0.541536 | + | 0.937969i | 0.998816 | + | 0.0486457i | ||
−0.457280 | + | 0.889323i | ||||||||
−286.939 | + | 496.994i | −0.255655 | + | 0.442808i | |||||
119.517i | 0.105024i | 0.998620 | + | 0.0525120i | ||||||
−0.998620 | + | 0.0525120i | ||||||||
−230.998 | − | 133.367i | −0.200225 | − | 0.115600i | |||||
−643.505 | − | 371.528i | −0.550260 | − | 0.317693i | |||||
− | 248.609i | − | 0.209744i | |||||||
303.346 | − | 525.410i | 0.252534 | − | 0.437402i | −0.711689 | − | 0.702495i | ||
0.964223 | + | 0.265093i | ||||||||
−326.437 | − | 565.405i | −0.268189 | − | 0.464518i | |||||
−765.141 | + | 441.754i | −0.620433 | + | 0.358207i | |||||
−591.764 | −0.473654 | |||||||||
0 | 0 | |||||||||
621.846 | 0.485132 | |||||||||
1695.12 | − | 978.677i | 1.30581 | − | 0.753909i | |||||
−91.3964 | − | 158.303i | −0.0695276 | − | 0.120425i | |||||
−473.400 | + | 819.952i | −0.355672 | + | 0.616042i | |||||
1622.91i | 1.20436i | |||||||||
81.7029 | + | 47.1712i | 0.0598935 | + | 0.0345795i | |||||
−597.911 | − | 345.204i | −0.433016 | − | 0.250002i | |||||
1386.02i | 0.991755i | |||||||||
244.301 | − | 423.142i | 0.172731 | − | 0.299179i | |||||
928.966 | + | 1609.02i | 0.649074 | + | 1.12423i | 0.983344 | + | 0.181752i | ||
−0.334270 | + | 0.942477i | ||||||||
−110.851 | + | 64.0000i | −0.0765466 | + | 0.0441942i | |||||
−1214.87 | −0.829176 | |||||||||
0 | 0 | |||||||||
−1867.72 | −1.24568 | −0.622838 | − | 0.782351i | ||||||
−0.622838 | + | 0.782351i | ||||||||
228.019 | − | 131.647i | 0.150352 | − | 0.0868058i | |||||
755.204 | + | 1308.05i | 0.492365 | + | 0.852801i | |||||
7.00454 | − | 12.1322i | 0.00451567 | − | 0.00782137i | |||||
− | 976.178i | − | 0.622341i | |||||||
−872.758 | − | 503.887i | −0.550282 | − | 0.317706i | |||||
−456.522 | − | 263.573i | −0.284695 | − | 0.164369i | 0.350852 | − | 0.936431i | ||
−0.635547 | + | 0.772062i | ||||||||
− | 872.113i | − | 0.537965i | |||||||
747.477 | − | 1294.67i | 0.456116 | − | 0.790017i | −0.542635 | − | 0.839969i | ||
0.998752 | + | 0.0499516i | ||||||||
211.444 | + | 366.231i | 0.127645 | + | 0.221087i | |||||
−1327.57 | + | 766.475i | −0.792921 | + | 0.457793i | |||||
1701.56 | 1.00558 | |||||||||
0 | 0 | |||||||||
−251.565 | −0.145581 | |||||||||
871.741 | − | 503.300i | 0.499270 | − | 0.288254i | |||||
1127.56 | + | 1952.99i | 0.639159 | + | 1.10706i | |||||
−170.543 | + | 295.389i | −0.0956881 | + | 0.165737i | |||||
− | 885.077i | − | 0.491573i | |||||||
−1505.71 | − | 869.319i | −0.827867 | − | 0.477969i | 0.0252549 | − | 0.999681i | ||
−0.853122 | + | 0.521712i | ||||||||
−457.785 | − | 264.302i | −0.249187 | − | 0.143868i | |||||
1923.77i | 1.03678i | 0.855144 | + | 0.518391i | ||||||
−0.855144 | + | 0.518391i | ||||||||
388.829 | − | 673.471i | 0.207488 | − | 0.359380i | |||||
−990.315 | − | 1715.28i | −0.523282 | − | 0.906352i | |||||
−527.516 | + | 304.562i | −0.276029 | + | 0.159365i | |||||
1174.40 | 0.608579 | |||||||||
0 | 0 | |||||||||
275.052 | 0.139819 | 0.0699093 | − | 0.997553i | ||||||
0.0699093 | + | 0.997553i | ||||||||
481.649 | − | 278.080i | 0.242518 | − | 0.140018i | |||||
1079.76 | + | 1870.20i | 0.538556 | + | 0.932807i | |||||
108.865 | − | 188.560i | 0.0537909 | − | 0.0931685i | |||||
2017.62i | 0.987642i | |||||||||
99.2082 | + | 57.2779i | 0.0481144 | + | 0.0277788i | |||||
−3353.63 | − | 1936.22i | −1.61151 | − | 0.930407i | −0.989020 | − | 0.147780i | ||
−0.622491 | − | 0.782627i | ||||||||
112.374i | 0.0535057i | |||||||||
−223.933 | + | 387.864i | −0.105656 | + | 0.183001i | |||||
−417.276 | − | 722.744i | −0.195102 | − | 0.337926i | |||||
616.965 | − | 356.205i | 0.285881 | − | 0.165054i | −0.350202 | − | 0.936674i | ||
0.636083 | + | 0.771621i | ||||||||
−417.433 | −0.191700 | |||||||||
0 | 0 | |||||||||
1714.24 | 0.773390 | |||||||||
1323.61 | − | 764.184i | 0.591922 | − | 0.341746i | |||||
−723.537 | − | 1253.20i | −0.320751 | − | 0.555557i | |||||
−405.847 | + | 702.947i | −0.178358 | + | 0.308925i | −0.941318 | − | 0.337520i | ||
0.762960 | + | 0.646446i | ||||||||
993.617i | 0.432907i | |||||||||
1059.08 | + | 611.458i | 0.457478 | + | 0.264125i | |||||
271.600 | + | 156.808i | 0.116322 | + | 0.0671584i | |||||
− | 1044.13i | − | 0.443398i | |||||||
324.271 | − | 561.654i | 0.136546 | − | 0.236504i | |||||
431.918 | + | 748.105i | 0.180353 | + | 0.312380i | 0.942001 | − | 0.335611i | ||
−0.761648 | + | 0.647991i | ||||||||
370.586 | − | 213.958i | 0.153455 | − | 0.0885971i | |||||
−1426.89 | −0.585965 | −0.292982 | − | 0.956118i | ||||||
−0.292982 | + | 0.956118i | ||||||||
0 | 0 | |||||||||
2725.00 | 1.10075 | |||||||||
899.628 | − | 519.401i | 0.360443 | − | 0.208102i | |||||
752.765 | + | 1303.83i | 0.299159 | + | 0.518158i | |||||
−579.625 | + | 1003.94i | −0.228495 | + | 0.395766i | |||||
2469.18i | 0.965584i | |||||||||
−1581.31 | − | 912.972i | −0.613453 | − | 0.354177i | |||||
−1930.58 | − | 1114.62i | −0.743009 | − | 0.428977i | |||||
1322.81i | 0.505087i | |||||||||
392.215 | − | 679.337i | 0.148585 | − | 0.257357i | −0.782120 | − | 0.623128i | ||
0.930705 | + | 0.365772i | ||||||||
107.461 | + | 186.128i | 0.0403923 | + | 0.0699615i | |||||
−2609.25 | + | 1506.45i | −0.973149 | + | 0.561848i | −0.900195 | − | 0.435487i | ||
−0.0729543 | + | 0.997335i | ||||||||
164.195 | 0.0607656 | |||||||||
0 | 0 | |||||||||
−406.278 | −0.148061 | |||||||||
−2363.64 | + | 1364.65i | −0.854836 | + | 0.493540i | −0.862280 | − | 0.506433i | ||
0.00744371 | + | 0.999972i | ||||||||
308.183 | + | 533.789i | 0.110614 | + | 0.191590i | |||||
−480.802 | + | 832.774i | −0.171272 | + | 0.296652i | −0.938865 | − | 0.344286i | ||
0.767593 | + | 0.640938i | ||||||||
− | 629.637i | − | 0.222610i | |||||||
−20.3709 | − | 11.7612i | −0.00714853 | − | 0.00412720i | |||||
1241.05 | + | 716.521i | 0.432277 | + | 0.249576i | |||||
− | 2298.71i | − | 0.794768i | |||||||
−846.065 | + | 1465.43i | −0.290375 | + | 0.502944i | |||||
−95.5751 | − | 165.541i | −0.0325622 | − | 0.0563994i | |||||
1620.32 | − | 935.493i | 0.548025 | − | 0.316402i | |||||
2041.61 | 0.685515 | |||||||||
0 | 0 | |||||||||
−1905.36 | −0.630606 | |||||||||
614.930 | − | 355.030i | 0.202068 | − | 0.116664i | |||||
−1888.57 | − | 3271.10i | −0.616183 | − | 1.06726i | −0.990176 | − | 0.139829i | ||
0.373992 | − | 0.927432i | ||||||||
−1286.13 | + | 2227.65i | −0.416661 | + | 0.721677i | |||||
− | 2857.06i | − | 0.919072i | |||||||
2076.32 | + | 1198.76i | 0.663244 | + | 0.382924i | |||||
2131.72 | + | 1230.75i | 0.676195 | + | 0.390401i | |||||
1147.76i | 0.361551i | |||||||||
1340.95 | − | 2322.59i | 0.419491 | − | 0.726580i | |||||
119.517 | + | 207.009i | 0.0371316 | + | 0.0643139i | |||||
3279.21 | − | 1893.25i | 1.01182 | − | 0.584175i | |||||
−533.467 | −0.163483 | |||||||||
0 | 0 | |||||||||
−1486.11 | −0.449285 | |||||||||
−3781.34 | + | 2183.15i | −1.13550 | + | 0.655582i | −0.945313 | − | 0.326165i | ||
−0.190189 | + | 0.981747i | ||||||||
−248.609 | − | 430.603i | −0.0741556 | − | 0.128441i | |||||
618.729 | − | 1071.67i | 0.183327 | − | 0.317532i | |||||
− | 1213.38i | − | 0.357137i | |||||||
1582.22 | + | 913.495i | 0.462624 | + | 0.267096i | 0.713147 | − | 0.701015i | ||
−0.250523 | + | 0.968111i | ||||||||
−1130.81 | − | 652.873i | −0.328464 | − | 0.189639i | |||||
4376.52i | 1.26292i | 0.775409 | + | 0.631459i | ||||||
−0.775409 | + | 0.631459i | ||||||||
−883.509 | + | 1530.28i | −0.253291 | + | 0.438712i | |||||
511.382 | + | 885.740i | 0.145656 | + | 0.252283i | |||||
−1024.96 | + | 591.764i | −0.290053 | + | 0.167462i | |||||
−4723.89 | −1.32821 | −0.664104 | − | 0.747641i | ||||||
−0.664104 | + | 0.747641i | ||||||||
0 | 0 | |||||||||
3105.96 | 0.862172 | |||||||||
1077.07 | − | 621.846i | 0.297081 | − | 0.171520i | |||||
−466.918 | − | 808.725i | −0.127973 | − | 0.221655i | |||||
1957.35 | − | 3390.24i | 0.533094 | − | 0.923346i | |||||
2312.19i | 0.625788i | 0.949788 | + | 0.312894i | ||||||
−0.949788 | + | 0.312894i | ||||||||
−316.606 | − | 182.793i | −0.0851536 | − | 0.0491634i | |||||
6190.00 | + | 3573.80i | 1.65449 | + | 0.955223i | 0.975191 | + | 0.221364i | ||
0.679303 | + | 0.733858i | ||||||||
1893.60i | 0.502996i | |||||||||
−1840.67 | + | 3188.13i | −0.485921 | + | 0.841640i | |||||
1622.91 | + | 2810.97i | 0.425805 | + | 0.737515i | |||||
598.498 | − | 345.543i | 0.156068 | − | 0.0901058i | |||||
188.685 | 0.0489028 | |||||||||
0 | 0 | |||||||||
−1380.82 | −0.353556 | |||||||||
−1213.54 | + | 700.639i | −0.308856 | + | 0.178318i | |||||
1386.02 | + | 2400.66i | 0.350638 | + | 0.607324i | |||||
−1369.27 | + | 2371.64i | −0.344332 | + | 0.596401i | −0.985232 | − | 0.171224i | ||
0.640900 | + | 0.767624i | ||||||||
− | 977.206i | − | 0.244278i | |||||||
−2204.21 | − | 1272.60i | −0.547736 | − | 0.316236i | |||||
3218.03 | + | 1857.93i | 0.794950 | + | 0.458965i | |||||
− | 2878.34i | − | 0.706858i | |||||||
−128.000 | + | 221.703i | −0.0312500 | + | 0.0541266i | |||||
−3028.18 | − | 5244.96i | −0.734991 | − | 1.27304i | −0.954727 | − | 0.297483i | ||
0.219736 | − | 0.975559i | ||||||||
−2104.22 | + | 1214.87i | −0.507764 | + | 0.293158i | |||||
3438.09 | 0.824835 | |||||||||
0 | 0 | |||||||||
−2326.05 | −0.551642 | |||||||||
−3234.99 | + | 1867.72i | −0.762817 | + | 0.440413i | |||||
−2667.09 | − | 4619.54i | −0.625323 | − | 1.08309i | −0.988478 | − | 0.151362i | ||
0.363156 | − | 0.931728i | ||||||||
263.293 | − | 456.037i | 0.0613810 | − | 0.106315i | |||||
− | 4375.47i | − | 1.01428i | |||||||
2616.10 | + | 1510.41i | 0.603021 | + | 0.348154i | |||||
−943.060 | − | 544.476i | −0.216159 | − | 0.124799i | |||||
− | 28.0181i | − | 0.00638612i | |||||||
−309.630 | + | 536.295i | −0.0701803 | + | 0.121556i | −0.898980 | − | 0.437989i | ||
0.828800 | + | 0.559545i | ||||||||
−976.178 | − | 1690.79i | −0.220031 | − | 0.381104i | |||||
−1134.37 | + | 654.928i | −0.254273 | + | 0.146805i | −0.621719 | − | 0.783240i | ||
0.367446 | + | 0.930045i | ||||||||
−2015.55 | −0.449304 | |||||||||
0 | 0 | |||||||||
−1054.29 | −0.232453 | |||||||||
−1336.01 | + | 771.347i | −0.292962 | + | 0.169142i | |||||
−872.113 | − | 1510.54i | −0.190199 | − | 0.329435i | |||||
3291.31 | − | 5700.72i | 0.713920 | − | 1.23655i | −0.249454 | − | 0.968387i | ||
0.963375 | − | 0.268159i | ||||||||
− | 2989.91i | − | 0.645046i | |||||||
−2350.21 | − | 1356.89i | −0.504313 | − | 0.291165i | |||||
732.462 | + | 422.887i | 0.156332 | + | 0.0902584i | |||||
− | 7406.25i | − | 1.57231i | −0.618028 | − | 0.786156i | ||||
0.618028 | − | 0.786156i | ||||||||
−1532.95 | + | 2655.15i | −0.323709 | + | 0.560680i | |||||
1109.97 | + | 1922.53i | 0.233149 | + | 0.403825i | 0.958733 | − | 0.284308i | ||
−0.725584 | + | 0.688133i | ||||||||
2947.20 | − | 1701.56i | 0.615788 | − | 0.355526i | |||||
2221.10 | 0.461637 | |||||||||
0 | 0 | |||||||||
−436.518 | −0.0897799 | |||||||||
−435.723 | + | 251.565i | −0.0891501 | + | 0.0514708i | |||||
−5477.95 | − | 9488.08i | −1.11499 | − | 1.93122i | |||||
1006.60 | − | 1743.48i | 0.203826 | − | 0.353037i | |||||
− | 275.696i | − | 0.0555382i | |||||||
3905.97 | + | 2255.11i | 0.782807 | + | 0.451954i | |||||
1951.28 | + | 1126.57i | 0.389062 | + | 0.224625i | 0.681754 | − | 0.731582i | ||
−0.292691 | + | 0.956207i | ||||||||
682.172i | 0.135323i | |||||||||
−1057.77 | + | 1832.11i | −0.208765 | + | 0.361592i | |||||
−885.077 | − | 1533.00i | −0.173797 | − | 0.301026i | |||||
2435.40 | − | 1406.08i | 0.475812 | − | 0.274710i | |||||
−3477.28 | −0.675950 | |||||||||
0 | 0 | |||||||||
−1057.21 | −0.203460 | |||||||||
4868.07 | − | 2810.58i | 0.932197 | − | 0.538204i | |||||
1923.77 | + | 3332.06i | 0.366558 | + | 0.634897i | |||||
1203.09 | − | 2083.82i | 0.228105 | − | 0.395090i | |||||
− | 1555.31i | − | 0.293432i | |||||||
−4781.50 | − | 2760.60i | −0.897666 | − | 0.518268i | |||||
−3430.55 | − | 1980.63i | −0.640887 | − | 0.370017i | |||||
− | 6633.50i | − | 1.23321i | −0.787274 | − | 0.616603i | ||||
0.787274 | − | 0.616603i | ||||||||
−609.123 | + | 1055.03i | −0.112688 | + | 0.195182i | |||||
−1570.76 | − | 2720.64i | −0.289183 | − | 0.500880i | |||||
2034.11 | − | 1174.40i | 0.372677 | − | 0.215165i | |||||
−815.823 | −0.148749 | −0.0743747 | − | 0.997230i | ||||||
−0.0743747 | + | 0.997230i | ||||||||
0 | 0 | |||||||||
6169.43 | 1.11411 | 0.557055 | − | 0.830475i | ||||||
0.557055 | + | 0.830475i | ||||||||
476.403 | − | 275.052i | 0.0856210 | − | 0.0494333i | |||||
831.122 | + | 1439.54i | 0.148662 | + | 0.257489i | |||||
556.160 | − | 963.297i | 0.0990077 | − | 0.171486i | |||||
8846.56i | 1.56742i | 0.621126 | + | 0.783711i | ||||||
−0.621126 | + | 0.783711i | ||||||||
3740.39 | + | 2159.52i | 0.659594 | + | 0.380817i | |||||
2511.30 | + | 1449.90i | 0.440770 | + | 0.254479i | |||||
− | 435.460i | − | 0.0760718i | |||||||
2012.82 | − | 3486.30i | 0.349983 | − | 0.606188i | |||||
2017.62 | + | 3494.61i | 0.349184 | + | 0.604805i | |||||
10604.8 | − | 6122.68i | 1.82683 | − | 1.05472i | |||||
229.111 | 0.0392852 | |||||||||
0 | 0 | |||||||||
−7744.87 | −1.31579 | |||||||||
347.584 | − | 200.678i | 0.0587812 | − | 0.0339373i | |||||
112.374 | + | 194.638i | 0.0189171 | + | 0.0327654i | |||||
3546.45 | − | 6142.63i | 0.594292 | − | 1.02934i | |||||
895.732i | 0.149420i | |||||||||
8236.93 | + | 4755.60i | 1.36780 | + | 0.789701i | 0.990647 | − | 0.136449i | ||
0.377156 | + | 0.926150i | ||||||||
−1445.49 | − | 834.553i | −0.238950 | − | 0.137958i | |||||
− | 3478.97i | − | 0.572512i | |||||||
712.409 | − | 1233.93i | 0.116710 | − | 0.202148i | |||||
23.8297 | + | 41.2742i | 0.00388643 | + | 0.00673149i | |||||
−723.015 | + | 417.433i | −0.117392 | + | 0.0677763i | |||||
4745.81 | 0.767124 | 0.383562 | − | 0.923515i | ||||||
0.383562 | + | 0.923515i | ||||||||
0 | 0 | |||||||||
−2037.36 | −0.326414 | |||||||||
2969.15 | − | 1714.24i | 0.473603 | − | 0.273435i | |||||
1691.59 | + | 2929.92i | 0.268636 | + | 0.465291i | |||||
1528.37 | − | 2647.21i | 0.241651 | − | 0.418552i | |||||
− | 6907.74i | − | 1.08741i | |||||||
−2506.40 | − | 1447.07i | −0.392838 | − | 0.226805i | |||||
2569.46 | + | 1483.48i | 0.400972 | + | 0.231501i | |||||
1623.39i | 0.252237i | |||||||||
−4692.18 | + | 8127.10i | −0.725906 | + | 1.25731i | 0.232693 | + | 0.972550i | ||
−0.958600 | + | 0.284757i | ||||||||
993.617 | + | 1720.99i | 0.153056 | + | 0.265101i | |||||
−8063.42 | + | 4655.42i | −1.23675 | + | 0.714036i | −0.968428 | − | 0.249294i | ||
−0.268319 | + | 0.963330i | ||||||||
2445.83 | 0.373529 | |||||||||
0 | 0 | |||||||||
627.233 | 0.0949763 | |||||||||
1066.95 | − | 616.005i | 0.160873 | − | 0.0928800i | −0.417402 | − | 0.908722i | ||
0.578275 | + | 0.815842i | ||||||||
−1044.13 | − | 1808.48i | −0.156765 | − | 0.271525i | |||||
−2894.39 | + | 5013.23i | −0.432727 | + | 0.749506i | |||||
− | 1297.08i | − | 0.193105i | |||||||
−5692.47 | − | 3286.55i | −0.843914 | − | 0.487234i | |||||
1496.21 | + | 863.837i | 0.220886 | + | 0.127528i | |||||
− | 6179.13i | − | 0.908417i | −0.890895 | − | 0.454209i | ||||
0.890895 | − | 0.454209i | ||||||||
427.916 | − | 741.172i | 0.0626476 | − | 0.108509i | |||||
1295.12 | + | 2243.21i | 0.188820 | + | 0.327046i | |||||
−2471.44 | + | 1426.89i | −0.358829 | + | 0.207170i | |||||
3179.50 | 0.459725 | |||||||||
0 | 0 | |||||||||
−7671.97 | −1.10019 | |||||||||
4719.83 | − | 2725.00i | 0.674070 | − | 0.389174i | |||||
235.037 | + | 407.095i | 0.0334300 | + | 0.0579025i | 0.882256 | − | 0.470769i | ||
−0.848826 | + | 0.528672i | ||||||||
1038.80 | − | 1799.26i | 0.147150 | − | 0.254871i | |||||
441.709i | 0.0623156i | |||||||||
2607.65 | + | 1505.53i | 0.366393 | + | 0.211537i | |||||
−8653.32 | − | 4996.00i | −1.21094 | − | 0.699135i | |||||
2318.50i | 0.323141i | |||||||||
2559.15 | − | 4432.59i | 0.355249 | − | 0.615310i | −0.631911 | − | 0.775041i | ||
0.987161 | + | 0.159731i | ||||||||
2469.18 | + | 4276.74i | 0.341386 | + | 0.591297i | |||||
4030.89 | − | 2327.23i | 0.555078 | − | 0.320474i | |||||
−3651.89 | −0.500882 | |||||||||
0 | 0 | |||||||||
−4458.48 | −0.606665 | |||||||||
−428.638 | + | 247.474i | −0.0580940 | + | 0.0335406i | −0.528766 | − | 0.848768i | ||
0.470672 | + | 0.882308i | ||||||||
1322.81 | + | 2291.17i | 0.178575 | + | 0.309302i | |||||
3119.61 | − | 5403.33i | 0.419482 | − | 0.726564i | |||||
− | 1568.86i | − | 0.210131i | |||||||
3727.82 | + | 2152.26i | 0.497343 | + | 0.287141i | 0.727616 | − | 0.685985i | ||
−0.230272 | + | 0.973126i | ||||||||
372.256 | + | 214.922i | 0.0494703 | + | 0.0285617i | |||||
− | 2072.26i | − | 0.274317i | |||||||
−3012.90 | + | 5218.50i | −0.397286 | + | 0.688120i | |||||
−2844.01 | − | 4925.96i | −0.373563 | − | 0.647030i | |||||
284.394 | − | 164.195i | 0.0372112 | − | 0.0214839i | |||||
−5599.48 | −0.729832 | −0.364916 | − | 0.931040i | ||||||
−0.364916 | + | 0.931040i | ||||||||
0 | 0 | |||||||||
16357.5 | 2.11568 | |||||||||
−703.694 | + | 406.278i | −0.0906682 | + | 0.0523473i | |||||
3136.05 | + | 5431.79i | 0.402526 | + | 0.697195i | |||||
−2729.30 | + | 4727.29i | −0.348985 | + | 0.604460i | |||||
1892.07i | 0.241014i | |||||||||
1067.58 | + | 616.367i | 0.135474 | + | 0.0782161i | |||||
8493.19 | + | 4903.55i | 1.07371 | + | 0.619904i | 0.929192 | − | 0.369598i | ||
0.144514 | + | 0.989503i | ||||||||
1923.21i | 0.242215i | |||||||||
2536.09 | − | 4392.64i | 0.318204 | − | 0.551145i | |||||
−629.637 | − | 1090.56i | −0.0787047 | − | 0.136321i | |||||
−12694.6 | + | 7329.22i | −1.58089 | + | 0.912728i | −0.586161 | + | 0.810194i | ||
−0.994730 | + | 0.102534i | ||||||||
−47.0446 | −0.00583675 | |||||||||
0 | 0 | |||||||||
2866.08 | 0.352953 | |||||||||
−337.509 | + | 194.861i | −0.0414098 | + | 0.0239080i | |||||
−2298.71 | − | 3981.48i | −0.280993 | − | 0.486694i | |||||
−2168.55 | + | 3756.04i | −0.264106 | + | 0.457445i | |||||
3384.26i | 0.410652i | |||||||||
−9253.81 | − | 5342.69i | −1.11876 | − | 0.645914i | −0.177673 | − | 0.984090i | ||
−0.941083 | + | 0.338175i | ||||||||
−331.082 | − | 191.150i | −0.0398804 | − | 0.0230250i | |||||
1770.24i | 0.212456i | |||||||||
1870.99 | − | 3240.64i | 0.223730 | − | 0.387512i | |||||
2415.57 | + | 4183.88i | 0.287802 | + | 0.498488i | |||||
3536.17 | − | 2041.61i | 0.419790 | − | 0.242366i | |||||
2839.18 | 0.335830 | |||||||||
0 | 0 | |||||||||
−5020.29 | −0.589555 | |||||||||
−3300.18 | + | 1905.36i | −0.386166 | + | 0.222953i | |||||
−3205.07 | − | 5551.34i | −0.373694 | − | 0.647257i | 0.616437 | − | 0.787405i | ||
−0.990131 | + | 0.140147i | ||||||||
710.060 | − | 1229.86i | 0.0824938 | − | 0.142883i | |||||
− | 2672.97i | − | 0.309436i | −0.987959 | − | 0.154718i | ||||
0.987959 | − | 0.154718i | ||||||||
−6542.21 | − | 3777.14i | −0.754667 | − | 0.435707i | |||||
−6215.67 | − | 3588.62i | −0.714459 | − | 0.412493i | |||||
5144.53i | 0.589247i | |||||||||
4957.28 | − | 8586.27i | 0.565797 | − | 0.979989i | |||||
−2857.06 | − | 4948.57i | −0.324941 | − | 0.562814i | |||||
−10919.2 | + | 6304.22i | −1.23751 | + | 0.714479i | |||||
4795.05 | 0.541536 | |||||||||
0 | 0 | |||||||||
4922.99 | 0.552111 | |||||||||
−4482.32 | + | 2587.87i | −0.500941 | + | 0.289218i | −0.729102 | − | 0.684405i | ||
0.228161 | + | 0.973623i | ||||||||
1147.76 | + | 1987.98i | 0.127828 | + | 0.221404i | |||||
−2085.98 | + | 3613.02i | −0.231515 | + | 0.400995i | −0.958254 | − | 0.285918i | ||
0.726739 | + | 0.686913i | ||||||||
− | 5363.80i | − | 0.593250i | |||||||
−2927.44 | − | 1690.16i | −0.322667 | − | 0.186292i | |||||
414.018 | + | 239.033i | 0.0454768 | + | 0.0262560i | |||||
12622.4i | 1.38172i | |||||||||
3786.51 | − | 6558.43i | 0.413074 | − | 0.715465i | |||||
5332.27 | + | 9235.77i | 0.579717 | + | 1.00410i | 0.995512 | + | 0.0946401i | ||
−0.415795 | + | 0.909458i | ||||||||
−923.992 | + | 533.467i | −0.100113 | + | 0.0578001i | |||||
−1596.96 | −0.172439 | |||||||||
0 | 0 | |||||||||
2122.16 | 0.227600 | 0.113800 | − | 0.993504i | ||||||
0.113800 | + | 0.993504i | ||||||||
−2574.02 | + | 1486.11i | −0.275130 | + | 0.158846i | |||||
1103.18 | + | 1910.77i | 0.117519 | + | 0.203548i | |||||
−4366.31 | + | 7562.67i | −0.463567 | + | 0.802921i | |||||
5838.62i | 0.617801i | |||||||||
−861.205 | − | 497.217i | −0.0908217 | − | 0.0524359i | |||||
−13237.6 | − | 7642.71i | −1.39136 | − | 0.803300i | −0.397891 | − | 0.917433i | ||
−0.993466 | + | 0.114132i | ||||||||
− | 2474.92i | − | 0.259264i | |||||||
275.331 | − | 476.887i | 0.0287469 | − | 0.0497910i | |||||
−1213.38 | − | 2101.64i | −0.126267 | − | 0.218701i | |||||
5594.79 | − | 3230.16i | 0.580279 | − | 0.335024i | |||||
3653.98 | 0.377731 | |||||||||
0 | 0 | |||||||||
−2611.49 | −0.268189 | |||||||||
−7390.60 | + | 4266.96i | −0.756494 | + | 0.436762i | −0.828035 | − | 0.560676i | ||
0.0715418 | + | 0.997438i | ||||||||
4376.52 | + | 7580.35i | 0.446509 | + | 0.773376i | |||||
−9036.57 | + | 15651.8i | −0.918935 | + | 1.59164i | |||||
3534.04i | 0.358207i | |||||||||
5375.22 | + | 3103.39i | 0.543057 | + | 0.313534i | 0.746317 | − | 0.665591i | ||
−0.203260 | + | 0.979125i | ||||||||
1771.48 | + | 1022.76i | 0.178391 | + | 0.102994i | |||||
14278.3i | 1.43319i | 0.697487 | + | 0.716597i | ||||||
−0.697487 | + | 0.716597i | ||||||||
−1183.53 | + | 2049.93i | −0.118414 | + | 0.205098i | |||||
−1971.90 | − | 3415.43i | −0.196655 | − | 0.340617i | |||||
−8182.02 | + | 4723.89i | −0.813357 | + | 0.469592i | |||||
1787.57 | 0.177129 | 0.0885643 | − | 0.996070i | ||||||
0.0885643 | + | 0.996070i | ||||||||
0 | 0 | |||||||||
108.837 | 0.0107156 | |||||||||
5379.68 | − | 3105.96i | 0.527971 | − | 0.304824i | |||||
−461.833 | − | 799.918i | −0.0451807 | − | 0.0782553i | |||||
1243.69 | − | 2154.14i | 0.121283 | − | 0.210068i | |||||
7091.04i | 0.689315i | |||||||||
−1617.45 | − | 933.835i | −0.156734 | − | 0.0904905i | |||||
6625.66 | + | 3825.33i | 0.640013 | + | 0.369512i | |||||
− | 7829.42i | − | 0.753909i | |||||||
−5055.41 | + | 8756.22i | −0.485264 | + | 0.840503i | |||||
2312.19 | + | 4004.83i | 0.221249 | + | 0.383215i | |||||
11895.4 | − | 6867.79i | 1.13468 | − | 0.655109i | 0.189574 | − | 0.981866i | ||
0.945108 | + | 0.326757i | ||||||||
−731.171 | −0.0695276 | |||||||||
0 | 0 | |||||||||
14295.2 | 1.35089 | |||||||||
5867.72 | − | 3387.73i | 0.552776 | − | 0.319145i | |||||
1893.60 | + | 3279.81i | 0.177836 | + | 0.308021i | |||||
−279.299 | + | 483.760i | −0.0261491 | + | 0.0452915i | |||||
7362.67i | 0.687197i | |||||||||
14738.9 | + | 8509.51i | 1.37142 | + | 0.791792i | 0.991107 | − | 0.133064i | ||
0.380317 | + | 0.924856i | ||||||||
5621.94 | + | 3245.83i | 0.521502 | + | 0.301089i | |||||
13004.2i | 1.20260i | |||||||||
691.086 | − | 1197.00i | 0.0637144 | − | 0.110357i | |||||
−6821.33 | − | 11814.9i | −0.626970 | − | 1.08594i | −0.988156 | − | 0.153451i | ||
0.361186 | − | 0.932494i | ||||||||
326.811 | − | 188.685i | 0.0299467 | − | 0.0172898i | |||||
−18636.4 | −1.70252 | |||||||||
0 | 0 | |||||||||
−2096.90 | −0.190401 | |||||||||
−2391.65 | + | 1380.82i | −0.216508 | + | 0.125001i | |||||
6609.74 | + | 11448.4i | 0.596554 | + | 1.03326i | |||||
−1401.28 | + | 2427.08i | −0.126090 | + | 0.218394i | |||||
4507.63i | 0.404387i | 0.979346 | + | 0.202194i | ||||||
−0.979346 | + | 0.202194i | ||||||||
4801.31 | + | 2772.04i | 0.429443 | + | 0.247939i | |||||
−2071.86 | − | 1196.19i | −0.184758 | − | 0.106670i | |||||
5477.07i | 0.486959i | |||||||||
4794.70 | − | 8304.67i | 0.425020 | − | 0.736157i | −0.571402 | − | 0.820670i | ||
0.996422 | + | 0.0845135i | ||||||||
−977.206 | − | 1692.57i | −0.0863655 | − | 0.149589i | |||||
−4222.10 | + | 2437.63i | −0.372041 | + | 0.214798i | |||||
−5090.40 | −0.447225 | |||||||||
0 | 0 | |||||||||
7431.73 | 0.649074 | |||||||||
8997.81 | − | 5194.89i | 0.783539 | − | 0.452376i | −0.0541444 | − | 0.998533i | ||
0.837683 | + | 0.546157i | ||||||||
−2878.34 | − | 4985.44i | −0.249912 | − | 0.432860i | |||||
−8760.01 | + | 15172.8i | −0.758356 | + | 1.31351i | |||||
512.000i | 0.0441942i | |||||||||
−12077.8 | − | 6973.14i | −1.03947 | − | 0.600140i | |||||
−10489.9 | − | 6056.36i | −0.900177 | − | 0.519717i | |||||
6365.15i | 0.544626i | |||||||||
−2429.75 | + | 4208.45i | −0.207294 | + | 0.359044i | |||||
4473.80 | + | 7748.85i | 0.380575 | + | 0.659176i | |||||
5954.94 | − | 3438.09i | 0.505106 | − | 0.291623i | |||||
2725.79 | 0.230538 | |||||||||
0 | 0 | |||||||||
−3202.79 | −0.269322 | −0.134661 | − | 0.990892i | ||||||
−0.134661 | + | 0.990892i | ||||||||
−4028.83 | + | 2326.05i | −0.337810 | + | 0.195035i | |||||
3828.77 | + | 6631.62i | 0.320115 | + | 0.554456i | 0.980512 | − | 0.196461i | ||
−0.660396 | + | 0.750917i | ||||||||
−3735.44 | + | 6469.97i | −0.311419 | + | 0.539393i | |||||
− | 4106.74i | − | 0.341396i | |||||||
−9239.07 | − | 5334.18i | −0.765861 | − | 0.442170i | |||||
−18830.0 | − | 10871.5i | −1.55645 | − | 0.898615i | |||||
− | 1053.17i | − | 0.0868058i | |||||||
−2347.03 | + | 4065.17i | −0.192901 | + | 0.334114i | |||||
−4375.47 | − | 7578.54i | −0.358600 | − | 0.621114i | |||||
4233.63 | − | 2444.29i | 0.345996 | − | 0.199761i | |||||
6041.63 | 0.492365 | |||||||||
0 | 0 | |||||||||
−2177.90 | −0.176493 | |||||||||
−7063.70 | + | 4078.23i | −0.570823 | + | 0.329565i | |||||
−28.0181 | − | 48.5288i | −0.00225783 | − | 0.00391068i | |||||
1450.45 | − | 2512.25i | 0.116558 | − | 0.201884i | |||||
1238.52i | 0.0992499i | |||||||||
1724.14 | + | 995.434i | 0.137781 | + | 0.0795480i | |||||
−3381.58 | − | 1952.36i | −0.269481 | − | 0.155585i | |||||
6536.41i | 0.519450i | 0.965683 | + | 0.259725i | ||||||
−0.965683 | + | 0.259725i | ||||||||
−1309.86 | + | 2268.74i | −0.103807 | + | 0.179798i | |||||
2395.85 | + | 4149.74i | 0.189348 | + | 0.327960i | |||||
−3491.03 | + | 2015.55i | −0.275141 | + | 0.158853i | |||||
−813.200 | −0.0639149 | |||||||||
0 | 0 | |||||||||
−2020.69 | −0.157950 | −0.0789748 | − | 0.996877i | ||||||
−0.0789748 | + | 0.996877i | ||||||||
−1826.09 | + | 1054.29i | −0.142348 | + | 0.0821845i | |||||
6379.19 | + | 11049.1i | 0.495914 | + | 0.858949i | |||||
−1542.69 | + | 2672.02i | −0.119601 | + | 0.207155i | |||||
− | 14380.9i | − | 1.11188i | |||||||
−3021.09 | − | 1744.23i | −0.232946 | − | 0.134491i | |||||
3741.94 | + | 2160.41i | 0.287746 | + | 0.166130i | |||||
− | 13165.3i | − | 1.00964i | |||||||
2527.90 | − | 4378.45i | 0.193339 | − | 0.334874i | |||||
−2989.91 | − | 5178.67i | −0.228058 | − | 0.395008i | |||||
−8698.31 | + | 5021.97i | −0.661686 | + | 0.382025i | −0.792919 | − | 0.609327i | ||
0.131233 | + | 0.991352i | ||||||||
−5427.58 | −0.411770 | |||||||||
0 | 0 | |||||||||
1691.55 | 0.127645 | |||||||||
7180.98 | − | 4145.94i | 0.540430 | − | 0.312017i | |||||
−7406.25 | − | 12828.0i | −0.555896 | − | 0.962841i | |||||
4184.05 | − | 7246.99i | 0.313209 | − | 0.542494i | −0.665846 | − | 0.746089i | ||
0.979055 | + | 0.203595i | ||||||||
6131.80i | 0.457793i | |||||||||
3574.93 | + | 2063.98i | 0.266192 | + | 0.153686i | |||||
3845.06 | + | 2219.95i | 0.285548 | + | 0.164861i | |||||
889.985i | 0.0659186i | |||||||||
3403.13 | − | 5894.39i | 0.251395 | − | 0.435428i | |||||
−7049.80 | − | 12210.6i | −0.519408 | − | 0.899640i | −0.999746 | − | 0.0225569i | ||
0.480338 | − | 0.877084i | ||||||||
3847.05 | − | 2221.10i | 0.282693 | − | 0.163213i | |||||
7703.05 | 0.564558 | 0.282279 | − | 0.959332i | ||||||
0.282279 | + | 0.959332i | ||||||||
0 | 0 | |||||||||
−2634.24 | −0.192054 | |||||||||
−756.071 | + | 436.518i | −0.0549788 | + | 0.0317420i | |||||
5109.91 | + | 8850.62i | 0.370605 | + | 0.641907i | |||||
−503.130 | + | 871.446i | −0.0363954 | + | 0.0630386i | |||||
14074.3i | 1.01546i | 0.861517 | + | 0.507729i | ||||||
−0.861517 | + | 0.507729i | ||||||||
−18976.2 | − | 10955.9i | −1.36558 | − | 0.788417i | |||||
8762.26 | + | 5058.89i | 0.628924 | + | 0.363109i | |||||
− | 4026.40i | − | 0.288254i | |||||||
3241.83 | − | 5615.01i | 0.231486 | − | 0.400946i | |||||
−275.696 | − | 477.520i | −0.0196357 | − | 0.0340100i | |||||
10916.1 | − | 6302.39i | 0.775467 | − | 0.447716i | |||||
9020.45 | 0.639159 | |||||||||
0 | 0 | |||||||||
4506.30 | 0.317668 | |||||||||
3806.69 | − | 2197.79i | 0.267664 | − | 0.154536i | −0.360162 | − | 0.932890i | ||
0.627826 | + | 0.778354i | ||||||||
682.172 | + | 1181.56i | 0.0478441 | + | 0.0828684i | |||||
8389.08 | − | 14530.3i | 0.586869 | − | 1.01649i | |||||
4231.08i | 0.295239i | |||||||||
7937.48 | + | 4582.71i | 0.552461 | + | 0.318963i | |||||
−3066.00 | − | 1770.15i | −0.212857 | − | 0.122893i | |||||
− | 9239.06i | − | 0.639802i | −0.947451 | − | 0.319901i | ||||
0.947451 | − | 0.319901i | ||||||||
2812.16 | − | 4870.80i | 0.194249 | − | 0.336450i | |||||
6658.98 | + | 11533.7i | 0.458810 | + | 0.794681i | |||||
−6022.82 | + | 3477.28i | −0.413933 | + | 0.238985i | |||||
3229.21 | 0.221378 | |||||||||
0 | 0 | |||||||||
−15261.0 | −1.04098 | −0.520492 | − | 0.853867i | ||||||
−0.520492 | + | 0.853867i | ||||||||
−1831.14 | + | 1057.21i | −0.124593 | + | 0.0719340i | |||||
−8195.48 | − | 14195.0i | −0.556241 | − | 0.963437i | −0.997806 | − | 0.0662077i | ||
0.441565 | − | 0.897229i | ||||||||
5621.17 | − | 9736.15i | 0.380568 | − | 0.659162i | |||||
− | 110.131i | − | 0.00743761i | |||||||
6664.13 | + | 3847.54i | 0.448940 | + | 0.259195i | |||||
−5579.01 | − | 3221.04i | −0.374907 | − | 0.216453i | |||||
− | 4812.38i | − | 0.322590i | |||||||
−7031.79 | + | 12179.4i | −0.470200 | + | 0.814411i | −0.999419 | − | 0.0340744i | ||
0.529219 | + | 0.848485i | ||||||||
−1555.31 | − | 2693.88i | −0.103744 | − | 0.179690i | |||||
−6685.22 | + | 3859.71i | −0.444825 | + | 0.256820i | |||||
−11042.4 | −0.732941 | |||||||||
0 | 0 | |||||||||
−7922.52 | −0.523282 | |||||||||
−6391.17 | + | 3689.94i | −0.421104 | + | 0.243125i | −0.695550 | − | 0.718478i | ||
0.274445 | + | 0.961603i | ||||||||
−6633.50 | − | 11489.6i | −0.436004 | − | 0.755181i | |||||
−320.956 | + | 555.912i | −0.0210442 | + | 0.0364496i | |||||
2436.49i | 0.159365i | |||||||||
−9868.51 | − | 5697.59i | −0.643908 | − | 0.371761i | 0.142210 | − | 0.989836i | ||
−0.786118 | + | 0.618076i | ||||||||
−5441.29 | − | 3141.53i | −0.354176 | − | 0.204483i | |||||
5223.75i | 0.339192i | 0.985514 | + | 0.169596i | ||||||
−0.985514 | + | 0.169596i | ||||||||
2348.79 | − | 4068.23i | 0.152145 | − | 0.263523i | |||||
−9314.78 | − | 16133.7i | −0.601915 | − | 1.04255i | |||||
−1413.05 | + | 815.823i | −0.0910901 | + | 0.0525909i | |||||
5038.53 | 0.324020 | |||||||||
0 | 0 | |||||||||
407.511 | 0.0260807 | |||||||||
10685.8 | − | 6169.43i | 0.682251 | − | 0.393898i | |||||
3199.25 | + | 5541.26i | 0.203773 | + | 0.352945i | |||||
550.103 | − | 952.807i | 0.0349546 | − | 0.0605432i | |||||
− | 27873.7i | − | 1.76693i | |||||||
2879.09 | + | 1662.24i | 0.182072 | + | 0.105120i | |||||
16565.8 | + | 9564.25i | 1.04512 | + | 0.603402i | 0.921280 | − | 0.388900i | ||
0.123843 | + | 0.992302i | ||||||||
− | 2224.64i | − | 0.140018i | |||||||
−6342.12 | + | 10984.9i | −0.398225 | + | 0.689746i | |||||
8846.56 | + | 15322.7i | 0.554167 | + | 0.959846i | |||||
−10947.9 | + | 6320.75i | −0.684177 | + | 0.395010i | |||||
8638.07 | 0.538556 | |||||||||
0 | 0 | |||||||||
5799.59 | 0.359887 | |||||||||
11584.5 | − | 6688.34i | 0.717179 | − | 0.414064i | |||||
−435.460 | − | 754.239i | −0.0268954 | − | 0.0465843i | |||||
930.204 | − | 1611.16i | 0.0573180 | − | 0.0992777i | −0.835943 | − | 0.548817i | ||
0.893261 | + | 0.449539i | ||||||||
− | 8051.26i | − | 0.494950i | |||||||
8284.94 | + | 4783.31i | 0.508128 | + | 0.293368i | 0.732064 | − | 0.681236i | ||
−0.223936 | + | 0.974604i | ||||||||
6989.23 | + | 4035.23i | 0.427662 | + | 0.246911i | |||||
− | 8266.08i | − | 0.504615i | |||||||
12245.4 | − | 21209.6i | 0.745801 | − | 1.29176i | |||||
11478.5 | + | 19881.3i | 0.697473 | + | 1.20806i | 0.969340 | + | 0.245724i | ||
−0.271867 | + | 0.962335i | ||||||||
396.833 | − | 229.111i | 0.0240572 | − | 0.0138894i | |||||
−6094.41 | −0.368608 | |||||||||
0 | 0 | |||||||||
−9006.22 | −0.542215 | |||||||||
−13414.5 | + | 7744.87i | −0.805756 | + | 0.465203i | |||||
2049.77 | + | 3550.30i | 0.122838 | + | 0.212763i | 0.920886 | − | 0.389832i | ||
−0.798047 | + | 0.602595i | ||||||||
401.356 | − | 695.168i | 0.0239973 | − | 0.0415646i | |||||
− | 12708.1i | − | 0.758086i | |||||||
389.275 | + | 224.748i | 0.0231687 | + | 0.0133764i | |||||
15353.2 | + | 8864.17i | 0.911698 | + | 0.526369i | |||||
− | 14185.8i | − | 0.840455i | |||||||
−14231.6 | + | 24649.9i | −0.841252 | + | 1.45709i | 0.0475845 | + | 0.998867i | ||
−0.888837 | + | 0.458224i | ||||||||
895.732 | + | 1551.45i | 0.0528278 | + | 0.0915004i | |||||
−7094.82 | + | 4096.20i | −0.417483 | + | 0.241034i | −0.694000 | − | 0.719975i | ||
0.276517 | + | 0.961009i | ||||||||
19022.4 | 1.11681 | |||||||||
0 | 0 | |||||||||
−3338.21 | −0.195102 | |||||||||
−8900.07 | + | 5138.46i | −0.518992 | + | 0.299640i | |||||
−3478.97 | − | 6025.75i | −0.202413 | − | 0.350590i | |||||
9605.07 | − | 16636.5i | 0.557586 | − | 0.965767i | |||||
− | 2849.64i | − | 0.165054i | |||||||
12698.3 | + | 7331.37i | 0.733849 | + | 0.423688i | |||||
82.5484 | + | 47.6593i | 0.00475988 | + | 0.00274812i | |||||
− | 15905.4i | − | 0.915083i | |||||||
−834.866 | + | 1446.03i | −0.0479251 | + | 0.0830086i | |||||
17137.1 | + | 29682.2i | 0.981553 | + | 1.70010i | 0.656354 | + | 0.754453i | ||
0.325199 | + | 0.945646i | ||||||||
8219.99 | − | 4745.81i | 0.469766 | − | 0.271219i | |||||
−11291.7 | −0.643880 | |||||||||
0 | 0 | |||||||||
−11531.2 | −0.654623 | −0.327311 | − | 0.944917i | ||||||
−0.327311 | + | 0.944917i | ||||||||
−3528.82 | + | 2037.36i | −0.199887 | + | 0.115405i | |||||
637.817 | + | 1104.73i | 0.0360489 | + | 0.0624385i | |||||
3428.48 | − | 5938.30i | 0.193347 | − | 0.334888i | |||||
− | 6135.32i | − | 0.345236i | |||||||
5859.84 | + | 3383.18i | 0.329010 | + | 0.189954i | |||||
−6534.72 | − | 3772.82i | −0.366097 | − | 0.211366i | 0.305655 | − | 0.952142i | ||
−0.671752 | + | 0.740776i | ||||||||
− | 6113.48i | − | 0.341746i | |||||||
1793.37 | − | 3106.20i | 0.100031 | − | 0.173258i | |||||
−6907.74 | − | 11964.5i | −0.384459 | − | 0.665902i | |||||
12728.0 | − | 7348.51i | 0.706846 | − | 0.408098i | |||||
−5788.29 | −0.320751 | |||||||||
0 | 0 | |||||||||
5933.92 | 0.327392 | |||||||||
29859.0 | − | 17239.1i | 1.64384 | − | 0.949069i | 0.664383 | − | 0.747392i | ||
0.979452 | − | 0.201677i | ||||||||
1623.39 | + | 2811.79i | 0.0891791 | + | 0.154463i | |||||
−2394.28 | + | 4147.02i | −0.131243 | + | 0.227319i | |||||
18768.7i | 1.02659i | |||||||||
8809.01 | + | 5085.88i | 0.480784 | + | 0.277581i | |||||
3441.99 | + | 1987.23i | 0.187454 | + | 0.108227i | |||||
3538.99i | 0.192323i | |||||||||
−9310.83 | + | 16126.8i | −0.504900 | + | 0.874512i | |||||
7931.77 | + | 13738.2i | 0.429195 | + | 0.743387i | |||||
4236.30 | − | 2445.83i | 0.228739 | − | 0.132063i | |||||
−1042.89 | −0.0561905 | −0.0280952 | − | 0.999605i | ||||||
−0.0280952 | + | 0.999605i | ||||||||
0 | 0 | |||||||||
21508.9 | 1.15395 | |||||||||
1086.40 | − | 627.233i | 0.0581609 | − | 0.0335792i | |||||
−5215.15 | − | 9032.90i | −0.278601 | − | 0.482551i | |||||
1232.01 | − | 2133.91i | 0.0656761 | − | 0.113754i | |||||
11133.3i | 0.592238i | |||||||||
−3616.96 | − | 2088.25i | −0.191997 | − | 0.110849i | |||||
16263.8 | + | 9389.88i | 0.861492 | + | 0.497383i | 0.864512 | − | 0.502613i | ||
−0.00301951 | + | 0.999995i | ||||||||
11577.6i | 0.611969i | |||||||||
2186.10 | − | 3786.43i | 0.115310 | − | 0.199722i | |||||
−1297.08 | − | 2246.62i | −0.0682729 | − | 0.118252i | |||||
19409.7 | − | 11206.2i | 1.01949 | − | 0.588605i | |||||
−13146.2 | −0.689053 | |||||||||
0 | 0 | |||||||||
3455.35 | 0.180353 | |||||||||
6724.42 | − | 3882.35i | 0.350249 | − | 0.202216i | |||||
−6179.13 | − | 10702.6i | −0.321174 | − | 0.556290i | |||||
17256.2 | − | 29888.6i | 0.895059 | − | 1.55029i | 0.0613275 | − | 0.998118i | ||
0.833732 | − | 0.552170i | ||||||||
− | 1711.66i | − | 0.0885971i | |||||||
12588.3 | + | 7267.86i | 0.650226 | + | 0.375408i | |||||
4486.41 | + | 2590.23i | 0.231256 | + | 0.133516i | |||||
− | 24002.7i | − | 1.23468i | |||||||
−2853.77 | + | 4942.88i | −0.146491 | + | 0.253730i | |||||
−5821.82 | − | 10083.7i | −0.298230 | − | 0.516550i | |||||
5507.05 | − | 3179.50i | 0.281523 | − | 0.162537i | |||||
6114.86 | 0.311950 | 0.155975 | − | 0.987761i | ||||||
0.155975 | + | 0.987761i | ||||||||
0 | 0 | |||||||||
13909.0 | 0.706650 | |||||||||
−13288.2 | + | 7671.97i | −0.673726 | + | 0.388976i | |||||
−22786.3 | − | 39467.0i | −1.15292 | − | 1.99691i | |||||
5449.99 | − | 9439.66i | 0.275188 | − | 0.476639i | |||||
− | 20350.9i | − | 1.02548i | −0.858543 | − | 0.512742i | ||||
0.858543 | − | 0.512742i | ||||||||
814.191 | + | 470.073i | 0.0409432 | + | 0.0236386i | |||||
−2009.85 | − | 1160.39i | −0.100863 | − | 0.0582333i | |||||
− | 4155.20i | − | 0.208102i | |||||||
−68.6481 | + | 118.902i | −0.00343105 | + | 0.00594276i | |||||
441.709 | + | 765.062i | 0.0220319 | + | 0.0381603i | |||||
−9284.97 | + | 5360.68i | −0.462183 | + | 0.266841i | −0.712962 | − | 0.701203i | ||
0.250779 | + | 0.968044i | ||||||||
6022.12 | 0.299159 | |||||||||
0 | 0 | |||||||||
−19984.0 | −0.988727 | |||||||||
−24012.1 | + | 13863.4i | −1.18562 | + | 0.684519i | −0.957308 | − | 0.289069i | ||
−0.228313 | + | 0.973588i | ||||||||
2318.50 | + | 4015.76i | 0.114248 | + | 0.197883i | |||||
5914.91 | − | 10244.9i | 0.290880 | − | 0.503818i | |||||
− | 10236.6i | − | 0.502398i | |||||||
−5681.78 | − | 3280.38i | −0.278294 | − | 0.160673i | |||||
8553.49 | + | 4938.36i | 0.418110 | + | 0.241396i | |||||
18626.4i | 0.908671i | |||||||||
4654.47 | − | 8061.78i | 0.226610 | − | 0.392499i | |||||
−15684.0 | − | 27165.5i | −0.762075 | − | 1.31995i | −0.941779 | − | 0.336232i | ||
0.179704 | − | 0.983721i | ||||||||
−6325.25 | + | 3651.89i | −0.306726 | + | 0.177089i | |||||
9196.41 | 0.445068 | |||||||||
0 | 0 | |||||||||
−13089.4 | −0.630959 | |||||||||
−7722.31 | + | 4458.48i | −0.371505 | + | 0.214488i | |||||
−4458.12 | − | 7721.68i | −0.214046 | − | 0.370739i | 0.738931 | − | 0.673781i | ||
−0.952977 | + | 0.303042i | ||||||||
−494.948 | + | 857.275i | −0.0237168 | + | 0.0410787i | |||||
8547.17i | 0.408752i | |||||||||
4582.34 | + | 2645.62i | 0.218709 | + | 0.126272i | |||||
9762.51 | + | 5636.39i | 0.465034 | + | 0.268487i | 0.714158 | − | 0.699984i | ||
−0.249125 | + | 0.968471i | ||||||||
− | 12478.4i | − | 0.593237i | |||||||
−928.527 | + | 1608.26i | −0.0440563 | + | 0.0763077i | |||||
−1568.86 | − | 2717.35i | −0.0742924 | − | 0.128678i | |||||
11670.8 | − | 6738.17i | 0.551582 | − | 0.318456i | |||||
8609.02 | 0.406079 | |||||||||
0 | 0 | |||||||||
859.687 | 0.0403923 | |||||||||
−8009.36 | + | 4624.21i | −0.375585 | + | 0.216844i | −0.675896 | − | 0.736997i | ||
0.300311 | + | 0.953841i | ||||||||
−2072.26 | − | 3589.26i | −0.0969857 | − | 0.167984i | |||||
−10169.1 | + | 17613.4i | −0.475008 | + | 0.822738i | |||||
12051.6i | 0.561848i | |||||||||
11568.3 | + | 6678.95i | 0.538269 | + | 0.310770i | 0.744377 | − | 0.667759i | ||
−0.206108 | + | 0.978529i | ||||||||
−9851.93 | − | 5688.01i | −0.457520 | − | 0.264149i | |||||
− | 13584.6i | − | 0.629643i | |||||||
328.390 | − | 568.789i | 0.0151914 | − | 0.0263123i | |||||
−5772.81 | − | 9998.81i | −0.266536 | − | 0.461654i | |||||
−9698.58 | + | 5599.48i | −0.446929 | + | 0.258035i | |||||
−2730.89 | −0.125602 | |||||||||
0 | 0 | |||||||||
−16676.2 | −0.764049 | |||||||||
28331.9 | − | 16357.5i | 1.29559 | − | 0.748007i | |||||
10612.5 | + | 18381.4i | 0.484369 | + | 0.838951i | |||||
−812.556 | + | 1407.39i | −0.0370151 | + | 0.0641121i | |||||
1871.47i | 0.0850899i | |||||||||
10863.6 | + | 6272.09i | 0.492991 | + | 0.284629i | |||||
43.1767 | + | 24.9281i | 0.00195563 | + | 0.00112909i | 0.500977 | − | 0.865460i | ||
−0.499022 | + | 0.866589i | ||||||||
10917.2i | 0.493540i | |||||||||
−8956.50 | + | 15513.1i | −0.404132 | + | 0.699977i | |||||
1892.07 | + | 3277.17i | 0.0852114 | + | 0.147590i | |||||
8163.84 | − | 4713.40i | 0.366969 | − | 0.211870i | |||||
2465.47 | 0.110614 | |||||||||
0 | 0 | |||||||||
19614.2 | 0.876677 | |||||||||
−12724.9 | + | 7346.75i | −0.567682 | + | 0.327751i | |||||
1923.21 | + | 3331.09i | 0.0856361 | + | 0.148326i | |||||
−5756.94 | + | 9971.31i | −0.255861 | + | 0.443164i | −0.965129 | − | 0.261775i | ||
0.709268 | + | 0.704939i | ||||||||
− | 10144.4i | − | 0.450008i | |||||||
−49800.2 | − | 28752.2i | −2.20501 | − | 1.27306i | |||||
−2181.13 | − | 1259.27i | −0.0963932 | − | 0.0556526i | |||||
− | 5098.45i | − | 0.224900i | |||||||
−14658.4 | + | 25389.2i | −0.645396 | + | 1.11786i | |||||
−11050.6 | − | 19140.3i | −0.485640 | − | 0.841153i | |||||
−81.4837 | + | 47.0446i | −0.00357426 | + | 0.00206360i | |||||
−13728.0 | −0.601054 | |||||||||
0 | 0 | |||||||||
2079.57 | 0.0907118 | |||||||||
4964.20 | − | 2866.08i | 0.216139 | − | 0.124788i | |||||
−6503.80 | − | 11264.9i | −0.282647 | − | 0.489559i | 0.689389 | − | 0.724391i | ||
−0.972036 | + | 0.234833i | ||||||||
−389.722 | + | 675.019i | −0.0169055 | + | 0.0292812i | |||||
1032.74i | 0.0447156i | 0.999750 | + | 0.0223578i | ||||||
−0.999750 | + | 0.0223578i | ||||||||
−7962.97 | − | 4597.42i | −0.344145 | − | 0.198692i | |||||
3809.39 | + | 2199.35i | 0.164331 | + | 0.0948765i | |||||
8674.21i | 0.373502i | |||||||||
13174.2 | − | 22818.3i | 0.566222 | − | 0.980724i | |||||
3384.26 | + | 5861.71i | 0.145187 | + | 0.251472i | |||||
30455.1 | − | 17583.2i | 1.30415 | − | 0.752949i | |||||
−21370.8 | −0.913461 | |||||||||
0 | 0 | |||||||||
−764.601 | −0.0325622 | |||||||||
−4408.83 | + | 2545.44i | −0.187417 | + | 0.108205i | −0.590773 | − | 0.806838i | ||
0.403356 | + | 0.915043i | ||||||||
1770.24 | + | 3066.14i | 0.0751145 | + | 0.130102i | |||||
10894.9 | − | 18870.5i | 0.461447 | − | 0.799250i | −0.537586 | − | 0.843209i | ||
0.999033 | + | 0.0439588i | ||||||||
− | 7483.94i | − | 0.316402i | |||||||
4486.53 | + | 2590.30i | 0.189335 | + | 0.109312i | |||||
8367.77 | + | 4831.13i | 0.352484 | + | 0.203507i | |||||
22544.8i | 0.947955i | 0.880537 | + | 0.473977i | ||||||
−0.880537 | + | 0.473977i | ||||||||
4083.22 | − | 7072.34i | 0.171379 | − | 0.296837i | |||||
−5248.91 | − | 9091.38i | −0.219906 | − | 0.380888i | 0.734873 | − | 0.678205i | ||
−0.954779 | + | 0.297316i | ||||||||
4917.60 | − | 2839.18i | 0.205653 | − | 0.118734i | |||||
−22105.5 | −0.922780 | |||||||||
0 | 0 | |||||||||
−12794.9 | −0.532193 | |||||||||
−8695.39 | + | 5020.29i | −0.361027 | + | 0.208439i | |||||
2423.64 | + | 4197.87i | 0.100447 | + | 0.173980i | |||||
−3810.72 | + | 6600.37i | −0.157651 | + | 0.273060i | |||||
24763.2i | 1.02263i | |||||||||
−11102.7 | − | 6410.14i | −0.457680 | − | 0.264242i | |||||
−12499.5 | − | 7216.59i | −0.514340 | − | 0.296954i | 0.220276 | − | 0.975438i | ||
−0.734616 | + | 0.678483i | ||||||||
− | 2840.24i | − | 0.116664i | |||||||
1251.25 | − | 2167.22i | 0.0513037 | − | 0.0888607i | |||||
−2672.97 | − | 4629.72i | −0.109402 | − | 0.189490i | |||||
−21539.2 | + | 12435.7i | −0.880011 | + | 0.508075i | |||||
−15108.6 | −0.616183 | |||||||||
0 | 0 | |||||||||
−14354.5 | −0.583353 | |||||||||
−12740.4 | + | 7355.70i | −0.516844 | + | 0.298400i | |||||
5144.53 | + | 8910.60i | 0.208330 | + | 0.360839i | |||||
3727.46 | − | 6456.15i | 0.150679 | − | 0.260983i | |||||
− | 19829.1i | − | 0.800158i | |||||||
24882.5 | + | 14365.9i | 1.00230 | + | 0.578681i | |||||
−9897.14 | − | 5714.11i | −0.397970 | − | 0.229768i | |||||
4097.21i | 0.164462i | 0.996613 | + | 0.0822309i | ||||||
−0.996613 | + | 0.0822309i | ||||||||
−12608.4 | + | 21838.5i | −0.505213 | + | 0.875055i | |||||
5199.56 | + | 9005.91i | 0.207978 | + | 0.360229i | |||||
8305.27 | − | 4795.05i | 0.331622 | − | 0.191462i | |||||
5188.52 | 0.206810 | 0.103405 | − | 0.994639i | ||||||
0.103405 | + | 0.994639i | ||||||||
0 | 0 | |||||||||
6351.40 | 0.252278 | 0.126139 | − | 0.992013i | ||||||
0.126139 | + | 0.992013i | ||||||||
8526.87 | − | 4922.99i | 0.338098 | − | 0.195201i | |||||
732.947 | + | 1269.50i | 0.0290114 | + | 0.0502491i | |||||
−5175.73 | + | 8964.63i | −0.204508 | + | 0.354219i | |||||
− | 19337.4i | − | 0.762751i | −0.924420 | − | 0.381376i | ||||
0.924420 | − | 0.381376i | ||||||||
3975.95 | + | 2295.52i | 0.156556 | + | 0.0903878i | |||||
−4782.90 | − | 2761.41i | −0.188004 | − | 0.108544i | |||||
8343.92i | 0.327411i | |||||||||
−18395.8 | + | 31862.4i | −0.720593 | + | 1.24810i | |||||
−5363.80 | − | 9290.37i | −0.209745 | − | 0.363290i | |||||
−4720.41 | + | 2725.33i | −0.184268 | + | 0.106387i | |||||
−6760.63 | −0.263456 | |||||||||
0 | 0 | |||||||||
956.134 | 0.0371316 | |||||||||
1117.87 | − | 645.402i | 0.0433381 | − | 0.0250212i | |||||
12622.4 | + | 21862.6i | 0.488510 | + | 0.846124i | |||||
−10768.0 | + | 18650.7i | −0.416029 | + | 0.720583i | |||||
− | 15146.0i | − | 0.584175i | |||||||
−14740.2 | − | 8510.28i | −0.567552 | − | 0.327676i | 0.188619 | − | 0.982050i | ||
−0.756171 | + | 0.654374i | ||||||||
18471.5 | + | 10664.5i | 0.710005 | + | 0.409921i | |||||
− | 7566.42i | − | 0.290340i | |||||||
−1066.93 | + | 1847.98i | −0.0408709 | + | 0.0707904i | |||||
−7506.10 | − | 13000.9i | −0.287045 | − | 0.497177i | 0.686058 | − | 0.727547i | ||
−0.973103 | + | 0.230370i | ||||||||
−2766.01 | + | 1596.96i | −0.105597 | + | 0.0609664i | |||||
46753.9 | 1.78187 | 0.890936 | − | 0.454129i | ||||||
0.890936 | + | 0.454129i | ||||||||
0 | 0 | |||||||||
7104.31 | 0.269840 | |||||||||
3675.69 | − | 2122.16i | 0.139376 | − | 0.0804688i | |||||
5953.40 | + | 10311.6i | 0.225361 | + | 0.390337i | 0.956428 | − | 0.291969i | ||
−0.731066 | + | 0.682306i | ||||||||
−2972.22 | + | 5148.04i | −0.112321 | + | 0.194546i | |||||
28868.6i | 1.08911i | |||||||||
3821.53 | + | 2206.36i | 0.143930 | + | 0.0830982i | |||||
−972.292 | − | 561.353i | −0.0365578 | − | 0.0211067i | |||||
17465.2i | 0.655582i | |||||||||
22186.8 | − | 38428.8i | 0.831416 | − | 1.44006i | |||||
5838.62 | + | 10112.8i | 0.218426 | + | 0.378324i | |||||
−5090.15 | + | 2938.80i | −0.190106 | + | 0.109758i | |||||
−1988.87 | −0.0741556 | |||||||||
0 | 0 | |||||||||
−30570.8 | −1.13604 | |||||||||
−22113.9 | + | 12767.5i | −0.820400 | + | 0.473658i | |||||
−2474.92 | − | 4286.68i | −0.0916636 | − | 0.158766i | |||||
−40504.1 | + | 70155.2i | −1.49766 | + | 2.59402i | |||||
− | 1101.32i | − | 0.0406542i | |||||||
−16347.7 | − | 9438.37i | −0.602457 | − | 0.347829i | |||||
−4203.28 | − | 2426.77i | −0.154645 | − | 0.0892843i | |||||
− | 9708.63i | − | 0.356603i | |||||||
6460.31 | − | 11189.6i | 0.236898 | − | 0.410319i | |||||
14577.2 | + | 25248.5i | 0.533660 | + | 0.924326i | 0.999227 | + | 0.0393134i | ||
−0.465567 | + | 0.885013i | ||||||||
6328.88 | − | 3653.98i | 0.231312 | − | 0.133548i | |||||
11265.7 | 0.411068 | |||||||||
0 | 0 | |||||||||
−6426.94 | −0.233737 | −0.116868 | − | 0.993147i | ||||||
−0.116868 | + | 0.993147i | ||||||||
−4523.24 | + | 2611.49i | −0.164232 | + | 0.0948193i | |||||
4089.52 | + | 7083.26i | 0.148240 | + | 0.256760i | |||||
−8533.93 | + | 14781.2i | −0.308837 | + | 0.534922i | |||||
18541.1i | 0.669889i | |||||||||
15160.7 | + | 8753.03i | 0.546860 | + | 0.315730i | |||||
−25132.7 | − | 14510.4i | −0.905075 | − | 0.522545i | |||||
36146.3i | 1.29957i | |||||||||
13666.7 | − | 23671.5i | 0.490560 | − | 0.849674i | −0.509381 | − | 0.860541i | ||
0.999941 | + | 0.0108669i | ||||||||
3534.04 | + | 6121.13i | 0.126645 | + | 0.219356i | |||||
−19291.9 | + | 11138.2i | −0.690216 | + | 0.398496i | |||||
12413.5 | 0.443404 | |||||||||
0 | 0 | |||||||||
4091.06 | 0.145656 | |||||||||
15081.8 | − | 8707.46i | 0.536092 | − | 0.309513i | |||||
14278.3 | + | 24730.8i | 0.506711 | + | 0.877649i | |||||
7354.28 | − | 12738.0i | 0.260568 | − | 0.451317i | |||||
4734.11i | 0.167462i | |||||||||
−7564.48 | − | 4367.36i | −0.267150 | − | 0.154239i | 0.360442 | − | 0.932782i | ||
−0.627592 | + | 0.778542i | ||||||||
−6830.87 | − | 3943.80i | −0.240853 | − | 0.139056i | |||||
− | 9873.29i | − | 0.347566i | |||||||
−9447.78 | + | 16364.0i | −0.332052 | + | 0.575131i | |||||
1369.83 | + | 2372.61i | 0.0480667 | + | 0.0832539i | |||||
3096.17 | − | 1787.57i | 0.108469 | − | 0.0626244i | |||||
−16800.5 | −0.587630 | |||||||||
0 | 0 | |||||||||
38518.8 | 1.34296 | 0.671480 | − | 0.741023i | ||||||
0.671480 | + | 0.741023i | ||||||||
188.511 | − | 108.837i | 0.00656193 | − | 0.00378853i | |||||
−10358.9 | − | 17942.2i | −0.360012 | − | 0.623559i | |||||
6211.92 | − | 10759.4i | 0.215543 | − | 0.373332i | |||||
33183.6i | 1.14958i | 0.818301 | + | 0.574790i | ||||||
−0.818301 | + | 0.574790i | ||||||||
−1599.84 | − | 923.666i | −0.0553349 | − | 0.0319476i | |||||
−3159.21 | − | 1823.97i | −0.109097 | − | 0.0629870i | |||||
− | 4974.77i | − | 0.171520i | |||||||
7583.94 | − | 13135.8i | 0.261064 | − | 0.452176i | |||||
7091.04 | + | 12282.0i | 0.243710 | + | 0.422118i | |||||
−24763.2 | + | 14297.1i | −0.849733 | + | 0.490594i | −0.860561 | − | 0.509348i | ||
0.0108276 | + | 0.999941i | ||||||||
−3735.34 | −0.127973 | |||||||||
0 | 0 | |||||||||
15301.3 | 0.522569 | |||||||||
25728.0 | − | 14854.1i | 0.877274 | − | 0.506494i | |||||
−7829.42 | − | 13560.9i | −0.266547 | − | 0.461673i | |||||
−4792.89 | + | 8301.53i | −0.162914 | + | 0.282175i | −0.935913 | − | 0.352232i | ||
0.772999 | + | 0.634408i | ||||||||
20221.6i | 0.686268i | |||||||||
4622.25 | + | 2668.66i | 0.156621 | + | 0.0904249i | |||||
8009.67 | + | 4624.38i | 0.270974 | + | 0.156447i | |||||
− | 9737.96i | − | 0.328927i | |||||||
13735.6 | − | 23790.7i | 0.463232 | − | 0.802342i | |||||
−4095.40 | − | 7093.45i | −0.137901 | − | 0.238852i | |||||
−1266.43 | + | 731.171i | −0.0425768 | + | 0.0245817i | |||||
−0.495919 | −1.66466e−5 | |||||||||
0 | 0 | |||||||||
18847.9 | 0.630701 | |||||||||
24760.0 | − | 14295.2i | 0.827247 | − | 0.477611i | |||||
−10250.0 | − | 17753.5i | −0.341926 | − | 0.592233i | |||||
6775.46 | − | 11735.4i | 0.225670 | − | 0.390871i | |||||
5738.23i | 0.190826i | 0.995438 | + | 0.0954132i | ||||||
−0.995438 | + | 0.0954132i | ||||||||
6559.62 | + | 3787.20i | 0.217804 | + | 0.125749i | |||||
−35612.5 | − | 20560.9i | −1.18064 | − | 0.681642i | |||||
1117.19i | 0.0369804i | |||||||||
23508.0 | − | 40717.0i | 0.776938 | − | 1.34570i | −0.156760 | − | 0.987637i | ||
0.933699 | − | 0.358060i | ||||||||
7362.67 | + | 12752.5i | 0.242961 | + | 0.420820i | |||||
20116.6 | − | 11614.3i | 0.662804 | − | 0.382670i | |||||
34038.1 | 1.11976 | |||||||||
0 | 0 | |||||||||
12983.3 | 0.425805 | |||||||||
−31456.5 | + | 18161.4i | −1.03007 | + | 0.594713i | −0.917006 | − | 0.398874i | ||
−0.113068 | + | 0.993587i | ||||||||
13004.2 | + | 22524.0i | 0.425184 | + | 0.736440i | |||||
−3178.03 | + | 5504.50i | −0.103749 | + | 0.179698i | |||||
− | 2764.34i | − | 0.0901058i | |||||||
1627.38 | + | 939.569i | 0.0529646 | + | 0.0305791i | |||||
−23629.8 | − | 13642.7i | −0.767879 | − | 0.443335i | |||||
33276.4i | 1.07971i | 0.841759 | + | 0.539854i | ||||||
−0.841759 | + | 0.539854i | ||||||||
377.369 | − | 653.623i | 0.0122257 | − | 0.0211755i | |||||
−9285.17 | − | 16082.4i | −0.300356 | − | 0.520231i | |||||
−32279.2 | + | 18636.4i | −1.04257 | + | 0.601930i | |||||
−23819.0 | −0.768154 | |||||||||
0 | 0 | |||||||||
46975.7 | 1.51035 | |||||||||
−3631.94 | + | 2096.90i | −0.116596 | + | 0.0673170i | |||||
23175.4 | + | 40141.0i | 0.742877 | + | 1.28670i | 0.951180 | + | 0.308636i | ||
−0.208303 | + | 0.978064i | ||||||||
−2761.63 | + | 4783.29i | −0.0883891 | + | 0.153094i | |||||
− | 31940.0i | − | 1.02073i | |||||||
22896.8 | + | 13219.5i | 0.730627 | + | 0.421827i | |||||
−5666.25 | − | 3271.41i | −0.180535 | − | 0.104232i | |||||
5605.11i | 0.178318i | |||||||||
−9198.72 | + | 15932.6i | −0.292203 | + | 0.506110i | −0.974330 | − | 0.225123i | ||
0.682127 | + | 0.731233i | ||||||||
4507.63 | + | 7807.44i | 0.142972 | + | 0.247636i | |||||
−27492.3 | + | 15872.7i | −0.870690 | + | 0.502693i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 338.4.e.i.23.9 | 24 | ||
13.2 | odd | 12 | 338.4.a.o.1.4 | yes | 6 | ||
13.3 | even | 3 | 338.4.b.h.337.10 | 12 | |||
13.4 | even | 6 | inner | 338.4.e.i.147.9 | 24 | ||
13.5 | odd | 4 | 338.4.c.o.315.3 | 12 | |||
13.6 | odd | 12 | 338.4.c.o.191.3 | 12 | |||
13.7 | odd | 12 | 338.4.c.p.191.3 | 12 | |||
13.8 | odd | 4 | 338.4.c.p.315.3 | 12 | |||
13.9 | even | 3 | inner | 338.4.e.i.147.6 | 24 | ||
13.10 | even | 6 | 338.4.b.h.337.4 | 12 | |||
13.11 | odd | 12 | 338.4.a.n.1.4 | ✓ | 6 | ||
13.12 | even | 2 | inner | 338.4.e.i.23.6 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
338.4.a.n.1.4 | ✓ | 6 | 13.11 | odd | 12 | ||
338.4.a.o.1.4 | yes | 6 | 13.2 | odd | 12 | ||
338.4.b.h.337.4 | 12 | 13.10 | even | 6 | |||
338.4.b.h.337.10 | 12 | 13.3 | even | 3 | |||
338.4.c.o.191.3 | 12 | 13.6 | odd | 12 | |||
338.4.c.o.315.3 | 12 | 13.5 | odd | 4 | |||
338.4.c.p.191.3 | 12 | 13.7 | odd | 12 | |||
338.4.c.p.315.3 | 12 | 13.8 | odd | 4 | |||
338.4.e.i.23.6 | 24 | 13.12 | even | 2 | inner | ||
338.4.e.i.23.9 | 24 | 1.1 | even | 1 | trivial | ||
338.4.e.i.147.6 | 24 | 13.9 | even | 3 | inner | ||
338.4.e.i.147.9 | 24 | 13.4 | even | 6 | inner |