Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,4,Mod(11,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 95.e (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 26.7 | ||
Root | of defining polynomial | ||
Character | 95.26 | ||
Dual form | 95.4.e.c.11.7 |
-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 .
1.09984 | + | 1.90498i | 0.388852 | + | 0.673511i | 0.992295 | − | 0.123894i | ||
−0.603443 | + | 0.797406i | ||||||||
−4.37756 | − | 7.58215i | −0.842462 | − | 1.45919i | −0.887808 | − | 0.460215i | ||
0.0453461 | − | 0.998971i | ||||||||
1.58071 | − | 2.73786i | 0.197588 | − | 0.342233i | |||||
2.50000 | + | 4.33013i | 0.223607 | + | 0.387298i | |||||
9.62922 | − | 16.6783i | 0.655186 | − | 1.13481i | |||||
−33.5680 | −1.81250 | −0.906250 | − | 0.422742i | ||||||
−0.906250 | + | 0.422742i | ||||||||
24.5515 | 1.08503 | |||||||||
−24.8260 | + | 43.0000i | −0.919483 | + | 1.59259i | |||||
−5.49920 | + | 9.52489i | −0.173900 | + | 0.301203i | |||||
−52.8293 | −1.44806 | −0.724029 | − | 0.689770i | ||||||
−0.724029 | + | 0.689770i | ||||||||
−27.6785 | −0.665842 | |||||||||
23.5896 | − | 40.8584i | 0.503275 | − | 0.871699i | −0.496717 | − | 0.867912i | ||
0.999993 | − | 0.00378625i | ||||||||
−36.9194 | − | 63.9463i | −0.704794 | − | 1.22074i | |||||
21.8878 | − | 37.9108i | 0.376760 | − | 0.652568i | |||||
14.3571 | + | 24.8672i | 0.224330 | + | 0.388550i | |||||
−19.3309 | − | 33.4821i | −0.275790 | − | 0.477683i | 0.694544 | − | 0.719450i | ||
−0.970334 | + | 0.241767i | ||||||||
−109.219 | −1.43017 | |||||||||
−57.7308 | + | 59.3814i | −0.697071 | + | 0.717002i | |||||
15.8071 | 0.176728 | |||||||||
146.946 | + | 254.518i | 1.52696 | + | 2.64478i | |||||
−58.1037 | − | 100.639i | −0.563080 | − | 0.975283i | |||||
94.9663 | − | 164.486i | 0.860950 | − | 1.49121i | −0.0100635 | − | 0.999949i | ||
0.871013 | − | 0.491259i | ||||||||
−107.476 | − | 186.153i | −0.914100 | − | 1.58327i | |||||
−12.5000 | + | 21.6506i | −0.100000 | + | 0.173205i | |||||
103.779 | 0.782799 | |||||||||
198.322 | 1.41359 | |||||||||
−53.0611 | + | 91.9045i | −0.358129 | + | 0.620297i | |||||
51.2938 | − | 88.8434i | 0.328449 | − | 0.568890i | −0.653755 | − | 0.756706i | ||
0.982204 | + | 0.187816i | ||||||||
96.2922 | 0.586016 | |||||||||
62.8629 | 0.364210 | 0.182105 | − | 0.983279i | ||||||
0.182105 | + | 0.983279i | ||||||||
66.6251 | − | 115.398i | 0.368055 | − | 0.637490i | |||||
231.263 | + | 400.560i | 1.21993 | + | 2.11299i | |||||
42.5218 | − | 73.6500i | 0.214483 | − | 0.371496i | |||||
−83.9199 | − | 145.354i | −0.405287 | − | 0.701978i | |||||
78.4853 | + | 135.941i | 0.363358 | + | 0.629354i | |||||
−121.050 | −0.537851 | −0.268925 | − | 0.963161i | ||||||
−0.268925 | + | 0.963161i | ||||||||
−176.615 | − | 44.6659i | −0.753966 | − | 0.190678i | |||||
−413.060 | −1.69596 | |||||||||
61.3788 | + | 106.311i | 0.242621 | + | 0.420232i | |||||
18.6460 | + | 32.2958i | 0.0710248 | + | 0.123019i | 0.899351 | − | 0.437228i | ||
−0.828326 | + | 0.560247i | ||||||||
−323.234 | + | 559.857i | −1.18752 | + | 2.05685i | |||||
−92.8180 | − | 160.765i | −0.329177 | − | 0.570151i | 0.653172 | − | 0.757210i | ||
−0.982349 | + | 0.187058i | ||||||||
−83.5076 | + | 144.639i | −0.286119 | + | 0.495573i | |||||
−248.260 | −0.822410 | |||||||||
417.791 | 1.33913 | |||||||||
−142.854 | + | 247.430i | −0.443348 | + | 0.767901i | −0.997935 | − | 0.0642246i | ||
0.554588 | + | 0.832125i | ||||||||
125.698 | − | 217.715i | 0.377978 | − | 0.654677i | |||||
783.809 | 2.28516 | |||||||||
−54.9920 | −0.155541 | |||||||||
−169.245 | + | 293.140i | −0.464686 | + | 0.804859i | |||||
−74.5765 | − | 129.170i | −0.198883 | − | 0.344475i | |||||
139.396 | − | 241.441i | 0.361274 | − | 0.625746i | −0.626896 | − | 0.779103i | ||
0.988171 | + | 0.153357i | ||||||||
218.122 | + | 377.798i | 0.549678 | + | 0.952071i | |||||
−132.073 | − | 228.758i | −0.323795 | − | 0.560830i | |||||
−824.145 | −1.96663 | |||||||||
702.959 | + | 177.778i | 1.63349 | + | 0.413111i | |||||
225.660 | 0.510872 | |||||||||
49.5587 | + | 85.8381i | 0.109356 | + | 0.189410i | 0.915509 | − | 0.402296i | ||
−0.806154 | + | 0.591706i | ||||||||
−69.1963 | − | 119.852i | −0.148887 | − | 0.257879i | |||||
192.118 | − | 332.758i | 0.403249 | − | 0.698448i | −0.590867 | − | 0.806769i | ||
0.994116 | + | 0.108321i | ||||||||
69.1391 | + | 119.752i | 0.141624 | + | 0.245300i | |||||
833.360 | − | 1443.42i | 1.66656 | − | 2.88657i | |||||
522.821 | 1.02114 | |||||||||
235.896 | 0.450143 | |||||||||
−508.705 | + | 881.103i | −0.948747 | + | 1.64328i | |||||
275.126 | − | 476.532i | 0.501672 | − | 0.868921i | −0.498327 | − | 0.866989i | ||
0.999998 | − | 0.00193131i | ||||||||
−122.226 | −0.217972 | |||||||||
−1662.88 | −2.90127 | |||||||||
184.597 | − | 319.731i | 0.315194 | − | 0.545931i | |||||
−446.673 | − | 773.660i | −0.746624 | − | 1.29319i | −0.949432 | − | 0.313973i | ||
0.202808 | − | 0.979219i | ||||||||
−609.517 | + | 1055.71i | −0.997670 | + | 1.72802i | |||||
97.1143 | + | 168.207i | 0.155704 | + | 0.269687i | 0.933315 | − | 0.359059i | ||
−0.777611 | + | 0.628745i | ||||||||
−133.135 | − | 230.597i | −0.209144 | − | 0.362249i | |||||
218.878 | 0.336985 | |||||||||
71.3227 | + | 251.924i | 0.107648 | + | 0.380232i | |||||
1773.37 | 2.62460 | |||||||||
−454.299 | − | 786.869i | −0.659478 | − | 1.14225i | |||||
318.203 | + | 551.144i | 0.453173 | + | 0.784919i | 0.998581 | − | 0.0532519i | ||
−0.545408 | + | 0.838171i | ||||||||
−71.7854 | + | 124.336i | −0.100323 | + | 0.173765i | |||||
−197.861 | − | 342.705i | −0.271414 | − | 0.470104i | |||||
−41.0152 | + | 71.0405i | −0.0552363 | + | 0.0956720i | |||||
−465.318 | −0.615365 | −0.307683 | − | 0.951489i | ||||||
−0.307683 | + | 0.951489i | ||||||||
929.112 | 1.20684 | |||||||||
96.6546 | − | 167.411i | 0.123337 | − | 0.213626i | |||||
204.170 | − | 353.632i | 0.256002 | − | 0.443409i | |||||
−898.166 | −1.10682 | |||||||||
−1297.04 | −1.57119 | |||||||||
−617.121 | + | 1068.88i | −0.734996 | + | 1.27305i | 0.219728 | + | 0.975561i | ||
−0.954725 | + | 0.297490i | ||||||||
−273.047 | − | 472.930i | −0.319796 | − | 0.553903i | |||||
−791.855 | + | 1371.53i | −0.912187 | + | 1.57995i | |||||
−300.228 | − | 520.010i | −0.340227 | − | 0.589291i | |||||
−275.186 | − | 476.636i | −0.306833 | − | 0.531450i | |||||
−628.464 | −0.689586 | |||||||||
−401.456 | − | 101.528i | −0.433563 | − | 0.109648i | |||||
−1166.62 | −1.24029 | |||||||||
−355.282 | − | 615.367i | −0.371891 | − | 0.644135i | 0.617965 | − | 0.786205i | ||
−0.989857 | + | 0.142071i | ||||||||
862.064 | + | 1493.14i | 0.888588 | + | 1.53908i | |||||
1311.54 | − | 2271.66i | 1.33146 | − | 2.30616i | |||||
39.5176 | + | 68.4466i | 0.0395176 | + | 0.0684466i | |||||
−192.743 | + | 333.840i | −0.189887 | + | 0.328894i | −0.945212 | − | 0.326456i | ||
0.755325 | + | 0.655350i | ||||||||
−744.567 | −0.722776 | |||||||||
−237.487 | −0.227187 | −0.113594 | − | 0.993527i | ||||||
−0.113594 | + | 0.993527i | ||||||||
579.161 | − | 1003.14i | 0.546071 | − | 0.945823i | |||||
−734.729 | + | 1272.59i | −0.682878 | + | 1.18278i | |||||
613.254 | 0.561929 | |||||||||
−150.931 | −0.136365 | −0.0681826 | − | 0.997673i | ||||||
−0.0681826 | + | 0.997673i | ||||||||
313.488 | − | 542.977i | 0.279309 | − | 0.483778i | |||||
−197.545 | − | 342.158i | −0.173590 | − | 0.300668i | 0.766082 | − | 0.642743i | ||
−0.939673 | + | 0.342075i | ||||||||
290.519 | − | 503.193i | 0.251817 | − | 0.436160i | |||||
529.903 | + | 917.819i | 0.453119 | + | 0.784825i | |||||
−481.938 | − | 834.742i | −0.406597 | − | 0.704247i | |||||
−1310.50 | −1.09099 | −0.545495 | − | 0.838114i | ||||||
−0.545495 | + | 0.838114i | ||||||||
434.478 | + | 1534.65i | 0.356953 | + | 1.26082i | |||||
949.663 | 0.770057 | |||||||||
−162.161 | − | 280.871i | −0.129795 | − | 0.224812i | |||||
1171.27 | + | 2028.70i | 0.925506 | + | 1.60302i | |||||
−109.013 | + | 188.816i | −0.0850464 | + | 0.147305i | |||||
648.900 | + | 1123.93i | 0.499870 | + | 0.865801i | |||||
537.379 | − | 930.767i | 0.408798 | − | 0.708059i | |||||
1459.93 | 1.09687 | |||||||||
845.196 | 0.627217 | |||||||||
163.248 | − | 282.754i | 0.119671 | − | 0.207277i | |||||
99.3678 | − | 172.110i | 0.0719637 | − | 0.124645i | |||||
−125.000 | −0.0894427 | |||||||||
3666.25 | 2.59219 | |||||||||
−954.294 | + | 1652.89i | −0.666771 | + | 1.15488i | 0.312031 | + | 0.950072i | ||
−0.978802 | + | 0.204809i | ||||||||
42.0185 | + | 72.7782i | 0.0290152 | + | 0.0502558i | |||||
−812.632 | + | 1407.52i | −0.554638 | + | 0.960661i | |||||
259.448 | + | 449.377i | 0.175039 | + | 0.303177i | |||||
−620.371 | − | 1074.51i | −0.413756 | − | 0.716647i | 0.581541 | − | 0.813517i | ||
−0.995297 | + | 0.0968702i | ||||||||
1462.24 | 0.964177 | |||||||||
1937.91 | − | 1993.31i | 1.26344 | − | 1.29957i | |||||
1210.38 | 0.780304 | |||||||||
495.804 | + | 858.757i | 0.316089 | + | 0.547482i | |||||
−474.604 | − | 822.038i | −0.299242 | − | 0.518303i | |||||
−390.802 | + | 676.889i | −0.243712 | + | 0.422121i | −0.961769 | − | 0.273863i | ||
0.718057 | + | 0.695984i | ||||||||
−1828.90 | − | 3167.75i | −1.12816 | − | 1.95404i | |||||
−245.493 | + | 425.206i | −0.149802 | + | 0.259464i | −0.931154 | − | 0.364626i | ||
0.781352 | + | 0.624090i | ||||||||
−530.611 | −0.320320 | |||||||||
2501.40 | 1.49401 | |||||||||
982.537 | − | 1701.80i | 0.580653 | − | 1.00572i | |||||
−1246.22 | + | 2158.52i | −0.728772 | + | 1.26227i | |||||
−1425.72 | −0.825069 | |||||||||
512.938 | 0.293774 | |||||||||
−213.620 | + | 370.001i | −0.121091 | + | 0.209736i | |||||
−3431.17 | − | 5942.96i | −1.92516 | − | 3.33447i | |||||
−191.344 | + | 331.418i | −0.106273 | + | 0.184070i | |||||
−1150.47 | − | 1992.67i | −0.632552 | − | 1.09561i | −0.987028 | − | 0.160547i | ||
0.354476 | − | 0.935065i | ||||||||
240.731 | + | 416.958i | 0.131037 | + | 0.226963i | |||||
1088.03 | 0.586376 | 0.293188 | − | 0.956055i | ||||||
0.293188 | + | 0.956055i | ||||||||
−1417.38 | + | 1457.90i | −0.756346 | + | 0.777971i | |||||
1919.64 | 1.01434 | |||||||||
1950.43 | + | 3378.24i | 1.02058 | + | 1.76770i | |||||
157.157 | + | 272.204i | 0.0814399 | + | 0.141058i | |||||
−652.926 | + | 1130.90i | −0.335102 | + | 0.580413i | |||||
944.065 | + | 1635.17i | 0.479902 | + | 0.831215i | 0.999734 | − | 0.0230538i | ||
−0.519832 | + | 0.854268i | ||||||||
−699.945 | + | 1212.34i | −0.352434 | + | 0.610434i | |||||
−2440.86 | −1.21744 | |||||||||
666.251 | 0.329199 | |||||||||
−3187.83 | + | 5521.48i | −1.56047 | + | 2.70282i | |||||
435.231 | − | 753.842i | 0.211080 | − | 0.365601i | |||||
2939.53 | 1.41253 | 0.706263 | − | 0.707950i | ||||||
0.706263 | + | 0.707950i | ||||||||
117.895 | 0.0561347 | |||||||||
−1156.32 | + | 2002.80i | −0.545570 | + | 0.944956i | |||||
−511.776 | − | 886.421i | −0.239286 | − | 0.414456i | |||||
484.227 | − | 838.706i | 0.224375 | − | 0.388629i | −0.731757 | − | 0.681566i | ||
0.956132 | + | 0.292937i | ||||||||
3607.74 | + | 6248.79i | 1.65681 | + | 2.86967i | |||||
−14.4393 | − | 25.0095i | −0.00657226 | − | 0.0113835i | |||||
425.218 | 0.191840 | |||||||||
−1120.17 | − | 3956.63i | −0.500945 | − | 1.76942i | |||||
−586.872 | −0.260166 | |||||||||
−252.819 | − | 437.895i | −0.111107 | − | 0.192443i | 0.805110 | − | 0.593125i | ||
−0.916217 | + | 0.400683i | ||||||||
−987.839 | − | 1710.99i | −0.430390 | − | 0.745457i | |||||
419.600 | − | 726.768i | 0.181250 | − | 0.313934i | |||||
−758.475 | − | 1313.72i | −0.324842 | − | 0.562643i | |||||
433.892 | − | 751.523i | 0.184256 | − | 0.319141i | |||||
−2714.94 | −1.14322 | |||||||||
1467.79 | 0.612894 | 0.306447 | − | 0.951888i | ||||||
0.306447 | + | 0.951888i | ||||||||
−392.427 | + | 679.703i | −0.162499 | + | 0.281456i | |||||
223.681 | − | 387.427i | 0.0918569 | − | 0.159101i | −0.816436 | − | 0.577436i | ||
0.908292 | + | 0.418336i | ||||||||
−3483.66 | −1.41882 | |||||||||
−3364.03 | −1.35889 | |||||||||
2331.57 | − | 4038.39i | 0.934160 | − | 1.61801i | |||||
−302.625 | − | 524.162i | −0.120267 | − | 0.208309i | |||||
605.321 | − | 1048.45i | 0.238625 | − | 0.413311i | |||||
1021.24 | + | 1768.84i | 0.399360 | + | 0.691713i | |||||
451.619 | + | 782.227i | 0.175201 | + | 0.303456i | |||||
−6657.25 | −2.56214 | |||||||||
−248.128 | − | 876.430i | −0.0947427 | − | 0.334647i | |||||
1763.01 | 0.667889 | 0.333944 | − | 0.942593i | ||||||
0.333944 | + | 0.942593i | ||||||||
−2288.68 | − | 3964.11i | −0.860267 | − | 1.49003i | |||||
−1630.63 | − | 2824.34i | −0.608164 | − | 1.05337i | −0.991543 | − | 0.129780i | ||
0.383379 | − | 0.923591i | ||||||||
781.507 | − | 1353.61i | 0.289221 | − | 0.500946i | |||||
−1032.65 | − | 1788.60i | −0.379228 | − | 0.656843i | |||||
1238.97 | − | 2145.96i | 0.451520 | − | 0.782056i | |||||
3612.79 | 1.30660 | 0.653301 | − | 0.757098i | ||||||
0.653301 | + | 0.757098i | ||||||||
5769.94 | 2.07097 | |||||||||
2332.57 | − | 4040.13i | 0.830912 | − | 1.43918i | −0.0664044 | − | 0.997793i | ||
0.897316 | − | 0.441389i | ||||||||
−306.894 | + | 531.556i | −0.108503 | + | 0.187933i | |||||
−4817.52 | −1.69056 | |||||||||
−847.944 | −0.295352 | |||||||||
−1721.83 | + | 2982.29i | −0.595314 | + | 1.03111i | |||||
535.052 | + | 926.737i | 0.183633 | + | 0.318061i | |||||
−93.2300 | + | 161.479i | −0.0317633 | + | 0.0550156i | |||||
−261.198 | − | 452.407i | −0.0883422 | − | 0.153013i | |||||
4715.27 | + | 8167.09i | 1.58326 | + | 2.74228i | |||||
1354.71 | 0.451598 | |||||||||
3049.88 | − | 3137.08i | 1.00940 | − | 1.03826i | |||||
−3232.34 | −1.06215 | |||||||||
1021.28 | + | 1768.92i | 0.333214 | + | 0.577143i | 0.983140 | − | 0.182854i | ||
−0.649926 | + | 0.759997i | ||||||||
−440.689 | − | 763.296i | −0.142767 | − | 0.247280i | |||||
−3910.67 | + | 6773.49i | −1.25800 | + | 2.17893i | |||||
−166.000 | − | 287.521i | −0.0530258 | − | 0.0918435i | |||||
464.090 | − | 803.827i | 0.147212 | − | 0.254979i | |||||
4869.10 | 1.53380 | |||||||||
−2110.18 | −0.660131 | |||||||||
434.535 | − | 752.637i | 0.135002 | − | 0.233830i | |||||
850.247 | − | 1472.67i | 0.262349 | − | 0.454401i | |||||
−835.076 | −0.255913 | |||||||||
−1824.04 | −0.555194 | |||||||||
−1165.62 | + | 2018.91i | −0.352392 | + | 0.610361i | |||||
2894.33 | + | 5013.12i | 0.869141 | + | 1.50540i | 0.862876 | + | 0.505415i | ||
0.00626455 | + | 0.999980i | ||||||||
−2236.47 | + | 3873.68i | −0.667100 | + | 1.15545i | |||||
−620.651 | − | 1075.00i | −0.183897 | − | 0.318518i | |||||
−1441.34 | − | 2496.48i | −0.424233 | − | 0.734794i | |||||
1033.17 | 0.302087 | 0.151043 | − | 0.988527i | ||||||
0.151043 | + | 0.988527i | ||||||||
1597.90 | − | 1643.59i | 0.464139 | − | 0.477410i | |||||
−5757.42 | −1.66140 | −0.830701 | − | 0.556719i | ||||||
−0.830701 | + | 0.556719i | ||||||||
1044.48 | + | 1809.09i | 0.299438 | + | 0.518642i | |||||
−7763.04 | − | 13446.0i | −2.21113 | − | 3.82979i | |||||
1259.34 | − | 2181.24i | 0.356378 | − | 0.617265i | |||||
−1720.22 | − | 2979.51i | −0.483671 | − | 0.837743i | 0.516153 | − | 0.856497i | ||
−0.999824 | + | 0.0187532i | ||||||||
−2576.42 | + | 4462.50i | −0.719770 | + | 1.24668i | |||||
−1428.54 | −0.396542 | |||||||||
313.351 | 0.0864296 | |||||||||
2785.91 | − | 4825.33i | 0.763562 | − | 1.32253i | |||||
−1427.37 | + | 2472.28i | −0.388751 | + | 0.673337i | |||||
2674.35 | 0.723806 | 0.361903 | − | 0.932216i | ||||||
0.361903 | + | 0.932216i | ||||||||
1256.98 | 0.338074 | |||||||||
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0.807347 | + | 0.590076i | ||||||||
1605.69 | + | 2781.14i | 0.426520 | + | 0.738755i | |||||
945.044 | − | 1636.86i | 0.249484 | − | 0.432119i | |||||
−607.364 | − | 1051.99i | −0.159355 | − | 0.276010i | |||||
1959.52 | + | 3393.99i | 0.510977 | + | 0.885038i | |||||
718.186 | 0.186138 | |||||||||
1064.38 | + | 3759.57i | 0.274190 | + | 0.968485i | |||||
1543.38 | 0.395181 | |||||||||
2036.96 | + | 3528.12i | 0.518422 | + | 0.897933i | |||||
−137.480 | − | 238.122i | −0.0347800 | − | 0.0602407i | |||||
1659.00 | − | 2873.48i | 0.417192 | − | 0.722598i | −0.578463 | − | 0.815708i | ||
0.995656 | + | 0.0931099i | ||||||||
−2634.59 | − | 4563.25i | −0.658586 | − | 1.14071i | |||||
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−4198.28 | −1.03710 | |||||||||
−1692.45 | −0.415628 | |||||||||
1998.86 | − | 3462.12i | 0.488002 | − | 0.845245i | |||||
2277.91 | − | 3945.46i | 0.552888 | − | 0.957629i | −0.445177 | − | 0.895443i | ||
0.998065 | − | 0.0621867i | ||||||||
−3575.06 | −0.862688 | |||||||||
4063.40 | 0.974855 | |||||||||
372.882 | − | 645.851i | 0.0889430 | − | 0.154054i | |||||
2546.84 | + | 4411.26i | 0.604006 | + | 1.04617i | |||||
1364.62 | − | 2363.59i | 0.321780 | − | 0.557339i | |||||
−1869.96 | − | 3238.87i | −0.438429 | − | 0.759382i | 0.559139 | − | 0.829074i | ||
−0.997569 | + | 0.0696919i | ||||||||
5677.87 | + | 9834.35i | 1.32367 | + | 2.29266i | |||||
1393.96 | 0.323134 | |||||||||
5928.61 | + | 1499.34i | 1.36656 | + | 0.345604i | |||||
10805.9 | 2.47682 | |||||||||
−869.787 | − | 1506.52i | −0.198249 | − | 0.343377i | |||||
1075.30 | + | 1862.47i | 0.243726 | + | 0.422145i | 0.961773 | − | 0.273850i | ||
−0.718047 | + | 0.695995i | ||||||||
−1090.61 | + | 1888.99i | −0.245824 | + | 0.425779i | |||||
−664.544 | − | 1151.02i | −0.148960 | − | 0.258006i | 0.781883 | − | 0.623425i | ||
−0.930843 | + | 0.365418i | ||||||||
555.072 | − | 961.412i | 0.123736 | − | 0.214317i | |||||
13865.6 | 3.07393 | |||||||||
−1719.28 | −0.379071 | |||||||||
660.366 | − | 1143.79i | 0.144806 | − | 0.250811i | |||||
−2628.53 | + | 4552.74i | −0.573256 | + | 0.992909i | |||||
−1576.45 | −0.341948 | −0.170974 | − | 0.985276i | ||||||
−0.170974 | + | 0.985276i | ||||||||
−1080.01 | −0.233003 | |||||||||
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−2060.36 | − | 3568.65i | −0.439751 | − | 0.761671i | |||||
1690.19 | − | 2927.50i | 0.358821 | − | 0.621495i | −0.628944 | − | 0.777451i | ||
0.987764 | + | 0.155956i | ||||||||
2751.14 | + | 4765.11i | 0.580950 | + | 1.00623i | |||||
−1207.16 | − | 2090.86i | −0.253563 | − | 0.439184i | 0.710941 | − | 0.703251i | ||
−0.964504 | + | 0.264068i | ||||||||
−2824.23 | −0.590097 | |||||||||
987.595 | + | 3488.35i | 0.205263 | + | 0.725024i | |||||
−5482.58 | −1.13354 | |||||||||
−625.909 | − | 1084.11i | −0.128732 | − | 0.222971i | |||||
3308.07 | + | 5729.75i | 0.676841 | + | 1.17232i | |||||
1709.13 | − | 2960.30i | 0.347879 | − | 0.602545i | |||||
564.149 | + | 977.135i | 0.114234 | + | 0.197860i | |||||
−3110.54 | + | 5387.61i | −0.626608 | + | 1.08532i | |||||
614.037 | 0.123061 | |||||||||
−7587.26 | −1.51281 | −0.756403 | − | 0.654106i | ||||||
−0.756403 | + | 0.654106i | ||||||||
7547.47 | − | 13072.6i | 1.49720 | − | 2.59323i | |||||
−247.793 | + | 429.191i | −0.0489054 | + | 0.0847066i | |||||
−2971.96 | −0.583587 | |||||||||
−10477.2 | −2.04696 | |||||||||
2530.67 | − | 4383.24i | 0.491938 | − | 0.852062i | |||||
−4480.44 | − | 7760.34i | −0.866590 | − | 1.50098i | |||||
345.982 | − | 599.258i | 0.0665842 | − | 0.115327i | |||||
3115.71 | + | 5396.57i | 0.596633 | + | 1.03340i | |||||
1196.66 | + | 2072.68i | 0.228014 | + | 0.394931i | |||||
3374.97 | 0.639891 | |||||||||
−2305.50 | − | 583.060i | −0.434965 | − | 0.110003i | |||||
1921.18 | 0.360677 | |||||||||
2111.30 | + | 3656.87i | 0.394427 | + | 0.683168i | |||||
−890.420 | − | 1542.25i | −0.165534 | − | 0.286714i | 0.771311 | − | 0.636459i | ||
−0.936845 | + | 0.349745i | ||||||||
2803.18 | − | 4855.25i | 0.518591 | − | 0.898226i | |||||
1039.61 | + | 1800.66i | 0.191396 | + | 0.331508i | |||||
−345.696 | + | 598.762i | −0.0633361 | + | 0.109701i | |||||
−2594.78 | −0.473108 | −0.236554 | − | 0.971618i | ||||||
−0.236554 | + | 0.971618i | ||||||||
−10141.2 | −1.84018 | |||||||||
−788.294 | + | 1365.36i | −0.142355 | + | 0.246565i | −0.928383 | − | 0.371625i | ||
0.786028 | + | 0.618191i | ||||||||
−2076.64 | + | 3596.85i | −0.373222 | + | 0.646439i | |||||
8333.60 | 1.49062 | |||||||||
2011.94 | 0.358167 | |||||||||
−2136.44 | + | 3700.42i | −0.378531 | + | 0.655634i | −0.990849 | − | 0.134977i | ||
0.612318 | + | 0.790612i | ||||||||
−2684.56 | − | 4649.79i | −0.473404 | − | 0.819959i | |||||
−2709.81 | + | 4693.54i | −0.475613 | + | 0.823785i | |||||
1307.05 | + | 2263.88i | 0.228333 | + | 0.395484i | |||||
660.710 | + | 1144.38i | 0.114882 | + | 0.198982i | |||||
−14024.4 | −2.42717 | |||||||||
3104.21 | + | 785.054i | 0.534745 | + | 0.135237i | |||||
−1251.04 | −0.214513 | |||||||||
589.740 | + | 1021.46i | 0.100655 | + | 0.174340i | |||||
3233.01 | + | 5599.74i | 0.549263 | + | 0.951352i | |||||
−1729.53 | + | 2995.63i | −0.292487 | + | 0.506602i | |||||
457.788 | + | 792.912i | 0.0770643 | + | 0.133479i | |||||
4795.31 | − | 8305.71i | 0.803568 | − | 1.39182i | |||||
−5087.05 | −0.848585 | |||||||||
10622.8 | 1.76399 | 0.881996 | − | 0.471258i | ||||||
0.881996 | + | 0.471258i | ||||||||
−735.532 | + | 1273.98i | −0.121589 | + | 0.210598i | |||||
3005.19 | − | 5205.14i | 0.494545 | − | 0.856577i | |||||
2130.29 | 0.348995 | |||||||||
2751.26 | 0.448709 | |||||||||
−4219.43 | + | 7308.26i | −0.685085 | + | 1.18660i | |||||
−2194.73 | − | 3801.38i | −0.354761 | − | 0.614464i | 0.632316 | − | 0.774711i | ||
−0.987077 | + | 0.160246i | ||||||||
31.7617 | − | 55.0130i | 0.00511128 | − | 0.00885299i | |||||
5736.80 | + | 9936.44i | 0.919116 | + | 1.59196i | |||||
−305.565 | − | 529.254i | −0.0487400 | − | 0.0844201i | |||||
−3321.00 | −0.527397 | |||||||||
6305.28 | − | 6485.56i | 0.996931 | − | 1.02543i | |||||
−14797.1 | −2.32935 | |||||||||
−2278.82 | − | 3947.04i | −0.357168 | − | 0.618634i | |||||
−4157.21 | − | 7200.49i | −0.648743 | − | 1.12366i | |||||
556.120 | − | 963.229i | 0.0864082 | − | 0.149663i | |||||
−680.517 | − | 1178.69i | −0.105280 | − | 0.182350i | 0.808573 | − | 0.588396i | ||
−0.913852 | + | 0.406046i | ||||||||
−1419.74 | + | 2459.06i | −0.218695 | + | 0.378791i | |||||
5738.02 | 0.880084 | 0.440042 | − | 0.897977i | ||||||
0.440042 | + | 0.897977i | ||||||||
1845.97 | 0.281918 | |||||||||
4678.33 | − | 8103.10i | 0.711426 | − | 1.23223i | |||||
−3519.76 | + | 6096.40i | −0.532965 | + | 0.923123i | |||||
−7246.04 | −1.09254 | −0.546272 | − | 0.837608i | ||||||
−0.546272 | + | 0.837608i | ||||||||
1908.85 | 0.286593 | |||||||||
2233.36 | − | 3868.30i | 0.333901 | − | 0.578333i | |||||
1950.97 | + | 3379.19i | 0.290453 | + | 0.503080i | |||||
5681.20 | − | 9840.12i | 0.842243 | − | 1.45881i | |||||
1614.34 | + | 2796.11i | 0.238325 | + | 0.412791i | |||||
−2417.54 | − | 4187.31i | −0.355412 | − | 0.615592i | 0.631776 | − | 0.775151i | ||
−0.987188 | + | 0.159559i | ||||||||
−6095.17 | −0.892344 | |||||||||
−193.306 | − | 6856.28i | −0.0281828 | − | 0.999603i | |||||
984.054 | 0.142875 | |||||||||
−6390.95 | − | 11069.4i | −0.924071 | − | 1.60054i | |||||
2503.38 | + | 4335.98i | 0.360475 | + | 0.624361i | |||||
−485.571 | + | 841.034i | −0.0696328 | + | 0.120608i | |||||
−3699.89 | − | 6408.40i | −0.528406 | − | 0.915226i | |||||
−6158.49 | + | 10666.8i | −0.875941 | + | 1.51718i | −0.0201850 | + | 0.999796i | ||
−0.855756 | + | 0.517379i | ||||||||
5453.76 | 0.772546 | |||||||||
−1851.63 | −0.261224 | |||||||||
665.677 | − | 1152.99i | 0.0935322 | − | 0.162003i | |||||
−4679.25 | + | 8104.70i | −0.654810 | + | 1.13416i | |||||
−1739.95 | −0.242506 | |||||||||
7876.55 | 1.09338 | 0.546692 | − | 0.837334i | ||||||
0.546692 | + | 0.837334i | ||||||||
−2246.40 | + | 3890.88i | −0.310584 | + | 0.537948i | |||||
547.195 | + | 947.769i | 0.0753520 | + | 0.130514i | |||||
−3507.27 | + | 6074.78i | −0.481047 | + | 0.833199i | |||||
−2420.00 | − | 4191.56i | −0.330600 | − | 0.572617i | |||||
−7321.91 | − | 12681.9i | −0.996292 | − | 1.72563i | |||||
−2533.59 | −0.343382 | −0.171691 | − | 0.985151i | ||||||
−0.171691 | + | 0.985151i | ||||||||
−912.554 | + | 938.646i | −0.123192 | + | 0.126714i | |||||
16709.9 | 2.24692 | |||||||||
1939.03 | + | 3358.49i | 0.259710 | + | 0.449831i | |||||
−3190.88 | − | 5526.77i | −0.425708 | − | 0.737349i | 0.570778 | − | 0.821105i | ||
−0.996486 | + | 0.0837558i | ||||||||
367.877 | − | 637.181i | 0.0488884 | − | 0.0846772i | |||||
4433.43 | + | 7678.93i | 0.586879 | + | 1.01650i | |||||
3586.87 | − | 6212.65i | 0.472972 | − | 0.819211i | |||||
9217.21 | 1.21069 | |||||||||
−2246.39 | −0.293925 | |||||||||
7359.94 | − | 12747.8i | 0.959290 | − | 1.66154i | 0.235059 | − | 0.971981i | ||
0.724231 | − | 0.689557i | ||||||||
2271.50 | − | 3934.35i | 0.294927 | − | 0.510829i | |||||
−7343.15 | −0.949767 | |||||||||
19243.7 | 2.47947 | |||||||||
−5431.42 | + | 9407.50i | −0.697148 | + | 1.20750i | |||||
3973.49 | + | 6882.28i | 0.508075 | + | 0.880011i | |||||
−1591.02 | + | 2755.72i | −0.202665 | + | 0.351026i | |||||
−4146.32 | − | 7181.64i | −0.526163 | − | 0.911341i | |||||
−4044.15 | − | 7004.67i | −0.511259 | − | 0.885527i | −0.999915 | − | 0.0130502i | ||
0.488656 | − | 0.872477i | ||||||||
10261.8 | 1.29241 | |||||||||
−23596.9 | − | 5967.66i | −2.96071 | − | 0.748763i | |||||
−717.854 | −0.0897318 | |||||||||
1567.31 | + | 2714.66i | 0.195182 | + | 0.338064i | 0.946960 | − | 0.321351i | ||
−0.751778 | + | 0.659416i | ||||||||
−5298.50 | − | 9177.27i | −0.657376 | − | 1.13861i | |||||
1482.91 | − | 2568.48i | 0.183298 | − | 0.317481i | |||||
609.339 | + | 1055.41i | 0.0750390 | + | 0.129971i | |||||
989.305 | − | 1713.53i | 0.121380 | − | 0.210237i | |||||
−7574.94 | −0.925955 | |||||||||
6394.98 | 0.778839 | |||||||||
−4155.21 | + | 7197.04i | −0.504200 | + | 0.873300i | |||||
−7719.88 | + | 13371.2i | −0.933309 | + | 1.61654i | −0.155688 | + | 0.987806i | ||
−0.777621 | + | 0.628733i | ||||||||
−410.152 | −0.0494048 | |||||||||
6843.04 | 0.821271 | |||||||||
−375.397 | + | 650.207i | −0.0448895 | + | 0.0777509i | |||||
−1663.58 | − | 2881.41i | −0.198207 | − | 0.343305i | |||||
−10372.1 | + | 17965.0i | −1.23131 | + | 2.13268i | |||||
−1163.30 | − | 2014.89i | −0.137600 | − | 0.238330i | |||||
−3143.32 | − | 5444.39i | −0.370466 | − | 0.641666i | |||||
4298.63 | 0.504808 | |||||||||
9330.44 | + | 2359.67i | 1.09179 | + | 0.276113i | |||||
−767.138 | −0.0894442 | −0.0447221 | − | 0.998999i | ||||||
−0.0447221 | + | 0.998999i | ||||||||
2322.78 | + | 4023.17i | 0.269857 | + | 0.467407i | |||||
7115.75 | + | 12324.8i | 0.823754 | + | 1.42678i | 0.902868 | + | 0.429918i | ||
−0.0791144 | + | 0.996866i | ||||||||
−2246.50 | + | 3891.05i | −0.259142 | + | 0.448847i | |||||
−7092.98 | − | 12285.4i | −0.815301 | − | 1.41214i | |||||
3422.39 | − | 5927.75i | 0.391995 | − | 0.678956i | |||||
966.546 | 0.110316 | |||||||||
−17204.5 | −1.95671 | |||||||||
−6449.01 | + | 11170.0i | −0.730889 | + | 1.26594i | |||||
−238.578 | + | 413.229i | −0.0269441 | + | 0.0466686i | |||||
21821.6 | 2.45585 | |||||||||
2041.70 | 0.228975 | |||||||||
2211.29 | − | 3830.07i | 0.247132 | − | 0.428046i | −0.715597 | − | 0.698514i | ||
0.962729 | + | 0.270468i | ||||||||
2847.32 | + | 4931.70i | 0.317111 | + | 0.549252i | |||||
5356.73 | − | 9278.13i | 0.594522 | − | 1.02974i | −0.399092 | − | 0.916911i | ||
0.993614 | − | 0.112831i | ||||||||
−2320.86 | − | 4019.85i | −0.256693 | − | 0.444606i | |||||
−2245.42 | − | 3889.17i | −0.247493 | − | 0.428670i | |||||
−1249.04 | −0.137198 | |||||||||
4284.96 | + | 15135.2i | 0.469056 | + | 1.65678i | |||||
3740.54 | 0.408059 | |||||||||
3397.02 | + | 5883.81i | 0.369318 | + | 0.639678i | 0.989459 | − | 0.144812i | ||
−0.620141 | + | 0.784491i | ||||||||
−3242.60 | − | 5616.35i | −0.351329 | − | 0.608520i | |||||
−19458.9 | + | 33703.7i | −2.10116 | + | 3.63932i | |||||
−2006.15 | − | 3474.75i | −0.215888 | − | 0.373930i | |||||
1014.91 | − | 1757.87i | 0.108848 | − | 0.188531i | −0.806456 | − | 0.591295i | ||
0.915304 | + | 0.402764i | ||||||||
3350.48 | 0.358124 | |||||||||
−6171.21 | −0.657401 | |||||||||
−6366.59 | + | 11027.3i | −0.675934 | + | 1.17075i | |||||
−10072.5 | + | 17446.1i | −1.06580 | + | 1.84602i | |||||
−17550.0 | −1.85081 | |||||||||
7113.41 | 0.747667 | 0.373834 | − | 0.927496i | ||||||
0.373834 | + | 0.927496i | ||||||||
1365.23 | − | 2364.65i | 0.143017 | − | 0.247713i | |||||
−985.055 | − | 1706.17i | −0.102848 | − | 0.178138i | |||||
−2071.52 | + | 3587.98i | −0.215567 | + | 0.373372i | |||||
−4762.93 | − | 8249.63i | −0.494000 | − | 0.855632i | |||||
1136.32 | + | 1968.16i | 0.117467 | + | 0.203459i | |||||
−7918.55 | −0.815885 | |||||||||
17258.7 | + | 4364.73i | 1.77240 | + | 0.448239i | |||||
−10681.0 | −1.09330 | −0.546650 | − | 0.837361i | ||||||
−0.546650 | + | 0.837361i | ||||||||
−6332.24 | − | 10967.8i | −0.646039 | − | 1.11897i | |||||
−3833.74 | − | 6640.23i | −0.389855 | − | 0.675249i | |||||
1501.14 | − | 2600.05i | 0.152154 | − | 0.263539i | |||||
−1701.77 | − | 2947.55i | −0.171929 | − | 0.297790i | 0.767165 | − | 0.641449i | ||
−0.939094 | + | 0.343660i | ||||||||
17076.2 | − | 29576.8i | 1.71960 | − | 2.97844i | |||||
16242.7 | 1.63038 | 0.815188 | − | 0.579196i | ||||||
0.815188 | + | 0.579196i | ||||||||
2945.72 | 0.294723 | |||||||||
1375.93 | − | 2383.18i | 0.137220 | − | 0.237672i | |||||
3783.93 | − | 6553.97i | 0.376153 | − | 0.651516i | |||||
13443.3 | 1.33208 | 0.666040 | − | 0.745916i | ||||||
0.666040 | + | 0.745916i | ||||||||
7405.75 | 0.731477 | |||||||||
−9235.43 | + | 15996.2i | −0.909280 | + | 1.57492i | |||||
−1571.16 | − | 2721.33i | −0.154196 | − | 0.267076i | |||||
8265.40 | − | 14316.1i | 0.808598 | − | 1.40053i | |||||
1216.74 | + | 2107.46i | 0.118655 | + | 0.205516i | |||||
4903.51 | + | 8493.13i | 0.476667 | + | 0.825612i | |||||
12256.2 | 1.18765 | |||||||||
−564.010 | − | 1992.18i | −0.0544812 | − | 0.192436i | |||||
4102.88 | 0.395074 | |||||||||
6921.31 | + | 11988.1i | 0.664371 | + | 1.15072i | |||||
2941.36 | + | 5094.59i | 0.281453 | + | 0.487492i | |||||
−1386.57 | + | 2401.61i | −0.132263 | + | 0.229087i | −0.924549 | − | 0.381064i | ||
0.792285 | + | 0.610151i | ||||||||
−2916.55 | − | 5051.62i | −0.277337 | − | 0.480362i | |||||
−2855.52 | + | 4945.91i | −0.270687 | + | 0.468844i | |||||
−1766.88 | −0.166969 | |||||||||
55819.6 | 5.25855 | |||||||||
2307.73 | − | 3997.10i | 0.216729 | − | 0.375385i | |||||
1776.41 | − | 3076.84i | 0.166315 | − | 0.288066i | |||||
4157.59 | 0.388049 | |||||||||
−15018.1 | −1.39740 | −0.698700 | − | 0.715415i | ||||||
−0.698700 | + | 0.715415i | ||||||||
4716.79 | − | 8169.72i | 0.437539 | − | 0.757840i | |||||
−12868.0 | − | 22288.0i | −1.19000 | − | 2.06114i | |||||
−4310.32 | + | 7465.69i | −0.397389 | + | 0.688297i | |||||
−5124.95 | − | 8876.67i | −0.471050 | − | 0.815883i | 0.528402 | − | 0.848995i | ||
−0.999452 | + | 0.0331120i | ||||||||
−516.094 | − | 893.901i | −0.0472913 | − | 0.0819109i | |||||
−3966.22 | −0.362332 | |||||||||
−5991.25 | + | 6162.55i | −0.545667 | + | 0.561268i | |||||
13115.4 | 1.19090 | |||||||||
902.529 | + | 1563.23i | 0.0817031 | + | 0.141514i | |||||
14993.9 | + | 25970.2i | 1.35326 | + | 2.34391i | |||||
−4480.66 | + | 7760.72i | −0.403179 | + | 0.698326i | |||||
−235.153 | − | 407.297i | −0.0210960 | − | 0.0365393i | 0.855285 | − | 0.518158i | ||
−0.876381 | + | 0.481619i | ||||||||
−197.588 | + | 342.233i | −0.0176728 | + | 0.0306102i | |||||
−8478.93 | −0.756109 | |||||||||
7298.55 | 0.648904 | |||||||||
−1979.91 | + | 3429.31i | −0.175507 | + | 0.303987i | −0.940337 | − | 0.340246i | ||
0.764830 | + | 0.644232i | ||||||||
20460.3 | − | 35438.2i | 1.80828 | − | 3.13203i | |||||
−1927.43 | −0.169840 | |||||||||
−22071.6 | −1.93913 | |||||||||
−126.417 | + | 218.961i | −0.0110738 | + | 0.0191803i | |||||
3016.92 | + | 5225.45i | 0.263492 | + | 0.456382i | |||||
−1863.91 | + | 3228.38i | −0.162311 | + | 0.281131i | −0.935697 | − | 0.352805i | ||
0.773386 | + | 0.633935i | ||||||||
−1861.42 | − | 3224.07i | −0.161618 | − | 0.279930i | |||||
−3259.93 | − | 5646.36i | −0.282213 | − | 0.488807i | |||||
9465.99 | 0.817073 | |||||||||
−11449.3 | + | 11776.6i | −0.985375 | + | 1.01355i | |||||
10021.3 | 0.859966 | |||||||||
−593.717 | − | 1028.35i | −0.0508006 | − | 0.0879892i | |||||
2569.07 | + | 4449.75i | 0.219180 | + | 0.379631i | |||||
7546.85 | − | 13071.5i | 0.641993 | − | 1.11196i | |||||
4469.09 | + | 7740.69i | 0.379074 | + | 0.656576i | |||||
−2213.46 | + | 3833.82i | −0.187206 | + | 0.324251i | |||||
5791.61 | 0.488421 | |||||||||
895.157 | 0.0752736 | 0.0376368 | − | 0.999291i | ||||||
0.0376368 | + | 0.999291i | ||||||||
−5602.24 | + | 9703.36i | −0.469738 | + | 0.813610i | |||||
−4418.42 | + | 7652.92i | −0.369415 | + | 0.639845i | −0.989474 | − | 0.144710i | ||
0.620059 | + | 0.784555i | ||||||||
−3922.50 | −0.327014 | |||||||||
−7347.29 | −0.610785 | |||||||||
4113.32 | − | 7124.48i | 0.340968 | − | 0.590574i | |||||
−1215.20 | − | 2104.79i | −0.100446 | − | 0.173977i | |||||
−6640.54 | + | 11501.7i | −0.547334 | + | 0.948010i | |||||
−11953.7 | − | 20704.4i | −0.982469 | − | 1.70169i | |||||
1533.14 | + | 2655.47i | 0.125651 | + | 0.217634i | |||||
−4921.38 | −0.402203 | |||||||||
−2394.16 | − | 8456.57i | −0.195113 | − | 0.689170i | |||||
1759.41 | 0.142980 | |||||||||
11884.8 | + | 20585.1i | 0.963118 | + | 1.66817i | |||||
−377.328 | − | 653.551i | −0.0304922 | − | 0.0528140i | |||||
6754.76 | − | 11699.6i | 0.544331 | − | 0.942809i | |||||
−6425.35 | − | 11129.0i | −0.516340 | − | 0.894327i | |||||
−2365.31 | + | 4096.84i | −0.189546 | + | 0.328304i | |||||
−41408.1 | −3.30904 | |||||||||
3134.88 | 0.249822 | |||||||||
605.044 | − | 1047.97i | 0.0480830 | − | 0.0832822i | −0.840982 | − | 0.541063i | ||
0.889065 | + | 0.457781i | ||||||||
1461.78 | − | 2531.88i | 0.115847 | − | 0.200653i | |||||
−3916.71 | −0.309543 | |||||||||
−5151.70 | −0.406024 | |||||||||
987.724 | − | 1710.79i | 0.0776320 | − | 0.134463i | |||||
15249.9 | + | 26413.6i | 1.19530 | + | 2.07033i | |||||
3265.72 | − | 5656.40i | 0.255269 | − | 0.442139i | −0.709700 | − | 0.704505i | ||
0.964969 | + | 0.262366i | ||||||||
1235.49 | + | 2139.93i | 0.0963091 | + | 0.166812i | |||||
9539.06 | + | 16522.1i | 0.741561 | + | 1.28442i | |||||
2905.19 | 0.225232 | |||||||||
2314.42 | + | 8174.90i | 0.178943 | + | 0.632055i | |||||
−40826.3 | −3.14798 | |||||||||
−10681.4 | − | 18500.8i | −0.821376 | − | 1.42267i | |||||
−1733.84 | − | 3003.10i | −0.132967 | − | 0.230306i | |||||
−2649.52 | + | 4589.10i | −0.202641 | + | 0.350984i | |||||
776.104 | + | 1344.25i | 0.0591981 | + | 0.102534i | |||||
7949.35 | − | 13768.7i | 0.604712 | − | 1.04739i | −0.387384 | − | 0.921918i | ||
0.992097 | − | 0.125474i | ||||||||
−6865.80 | −0.520883 | |||||||||
−8758.16 | −0.662667 | |||||||||
2409.69 | − | 4173.71i | 0.181836 | − | 0.314949i | |||||
8941.07 | − | 15486.4i | 0.672892 | − | 1.16548i | |||||
7435.77 | 0.558112 | |||||||||
−21833.4 | −1.63440 | −0.817202 | − | 0.576352i | ||||||
−0.817202 | + | 0.576352i | ||||||||
3953.98 | − | 6848.49i | 0.295199 | − | 0.511300i | |||||
−3276.26 | − | 5674.65i | −0.243953 | − | 0.422538i | |||||
2655.37 | − | 4599.23i | 0.197197 | − | 0.341555i | |||||
6641.80 | + | 11503.9i | 0.491939 | + | 0.852063i | |||||
−10966.5 | − | 18994.5i | −0.810113 | − | 1.40316i | |||||
−12370.9 | −0.911448 | −0.455724 | − | 0.890121i | ||||||
−0.455724 | + | 0.890121i | ||||||||
−5559.03 | + | 5717.97i | −0.408495 | + | 0.420174i | |||||
15169.6 | 1.11178 | 0.555892 | − | 0.831254i | ||||||
0.555892 | + | 0.831254i | ||||||||
3939.82 | + | 6823.97i | 0.287993 | + | 0.498819i | |||||
−7717.67 | − | 13367.4i | −0.562671 | − | 0.974574i | |||||
1376.80 | − | 2384.68i | 0.100116 | − | 0.173406i | |||||
2374.16 | + | 4112.16i | 0.172190 | + | 0.298242i | |||||
−12979.6 | + | 22481.3i | −0.938916 | + | 1.62625i | |||||
18083.0 | 1.30469 | 0.652343 | − | 0.757924i | ||||||
0.652343 | + | 0.757924i | ||||||||
7519.08 | 0.541094 | |||||||||
−14276.4 | + | 24727.4i | −1.02471 | + | 1.77485i | |||||
810.804 | − | 1404.35i | 0.0580462 | − | 0.100539i | |||||
15619.8 | 1.11535 | |||||||||
−13684.4 | −0.974632 | |||||||||
−7364.21 | + | 12755.2i | −0.523146 | + | 0.906116i | |||||
2384.30 | + | 4129.74i | 0.168944 | + | 0.292619i | |||||
−5856.36 | + | 10143.5i | −0.413899 | + | 0.716894i | |||||
−8344.77 | − | 14453.6i | −0.588258 | − | 1.01889i | |||||
−8771.98 | − | 15193.5i | −0.616794 | − | 1.06832i | −0.990067 | − | 0.140597i | ||
0.373272 | − | 0.927722i | ||||||||
−21694.7 | −1.52155 | |||||||||
−3629.13 | + | 3732.89i | −0.253881 | + | 0.261139i | |||||
−1090.13 | −0.0760678 | |||||||||
−15815.2 | − | 27392.7i | −1.10076 | − | 1.90657i | |||||
−1737.92 | − | 3010.17i | −0.120656 | − | 0.208982i | |||||
−1422.39 | + | 2463.65i | −0.0985000 | + | 0.170607i | −0.911064 | − | 0.412265i | ||
0.812564 | + | 0.582872i | ||||||||
−11523.2 | − | 19958.8i | −0.795966 | − | 1.37865i | |||||
−3244.50 | + | 5619.64i | −0.223549 | + | 0.387198i | |||||
−7274.22 | −0.499939 | |||||||||
−40843.8 | −2.80004 | |||||||||
9855.52 | − | 17070.3i | 0.673950 | − | 1.16732i | |||||
−1217.27 | + | 2108.38i | −0.0830324 | + | 0.143816i | −0.904551 | − | 0.426365i | ||
0.821519 | + | 0.570182i | ||||||||
5373.79 | 0.365640 | |||||||||
−2976.95 | −0.202051 | −0.101025 | − | 0.994884i | ||||||
−0.101025 | + | 0.994884i | ||||||||
−6853.57 | + | 11870.7i | −0.464004 | + | 0.803679i | |||||
13660.6 | + | 23660.8i | 0.922557 | + | 1.59792i | |||||
1719.86 | − | 2978.88i | 0.115861 | − | 0.200677i | |||||
3649.84 | + | 6321.70i | 0.245268 | + | 0.424816i | |||||
3711.92 | + | 6429.24i | 0.248823 | + | 0.430974i | |||||
−10120.6 | −0.676739 | −0.338370 | − | 0.941013i | ||||||
−0.338370 | + | 0.941013i | ||||||||
3006.18 | + | 10618.3i | 0.200521 | + | 0.708272i | |||||
30149.6 | 2.00612 | |||||||||
2112.99 | + | 3659.81i | 0.140250 | + | 0.242920i | |||||
6739.72 | + | 11673.5i | 0.446252 | + | 0.772931i | |||||
3034.39 | − | 5255.71i | 0.200421 | − | 0.347140i | |||||
12304.4 | + | 21311.8i | 0.810717 | + | 1.40420i | 0.912363 | + | 0.409382i | ||
−0.101646 | + | 0.994821i | ||||||||
1958.64 | − | 3392.46i | 0.128737 | − | 0.222978i | |||||
1632.48 | 0.107037 | |||||||||
43539.0 | 2.84779 | |||||||||
13331.8 | − | 23091.4i | 0.869886 | − | 1.50669i | 0.00777269 | − | 0.999970i | ||
0.862113 | − | 0.506716i | ||||||||
−2286.81 | + | 3960.88i | −0.148850 | + | 0.257815i | |||||
17935.1 | 1.16458 | 0.582288 | − | 0.812983i | ||||||
0.582288 | + | 0.812983i | ||||||||
993.678 | 0.0643662 | |||||||||
18833.9 | − | 32621.2i | 1.21703 | − | 2.10796i | |||||
−2853.84 | − | 4943.00i | −0.183969 | − | 0.318644i | |||||
20715.5 | − | 35880.3i | 1.33218 | − | 2.30741i | |||||
−5930.33 | − | 10271.6i | −0.380454 | − | 0.658966i | |||||
−312.500 | − | 541.266i | −0.0200000 | − | 0.0346410i | |||||
−3467.99 | −0.221419 | |||||||||
−37136.8 | − | 9391.90i | −2.36539 | − | 0.598208i | |||||
5969.16 | 0.379292 | |||||||||
2340.01 | + | 4053.01i | 0.148334 | + | 0.256922i | |||||
9165.62 | + | 15875.3i | 0.579630 | + | 1.00395i | |||||
−11866.4 | + | 20553.3i | −0.748646 | + | 1.29669i | 0.199826 | + | 0.979831i | ||
−0.948472 | + | 0.316861i | ||||||||
7812.38 | + | 13531.4i | 0.491708 | + | 0.851664i | |||||
8941.46 | − | 15487.1i | 0.561440 | − | 0.972442i | |||||
−9398.95 | −0.588770 | |||||||||
−9542.94 | −0.596378 | |||||||||
−3858.28 | + | 6682.74i | −0.240552 | + | 0.416648i | |||||
18489.7 | − | 32025.2i | 1.15006 | − | 1.99197i | |||||
−11921.4 | −0.739772 | |||||||||
44356.5 | 2.74603 | |||||||||
−210.093 | + | 363.891i | −0.0129760 | + | 0.0224751i | |||||
−9004.39 | − | 15596.1i | −0.554840 | − | 0.961010i | −0.997916 | − | 0.0645264i | ||
0.443076 | − | 0.896484i | ||||||||
−1453.35 | + | 2517.28i | −0.0893445 | + | 0.154749i | |||||
8763.10 | + | 15178.1i | 0.537454 | + | 0.930897i | 0.999040 | + | 0.0438022i | ||
−0.461586 | + | 0.887095i | ||||||||
10078.0 | + | 17455.7i | 0.616662 | + | 1.06809i | |||||
−8126.32 | −0.496083 | |||||||||
1918.62 | + | 6776.88i | 0.116853 | + | 0.412744i | |||||
−19408.8 | −1.17935 | −0.589673 | − | 0.807642i | ||||||
−0.589673 | + | 0.807642i | ||||||||
−4857.79 | − | 8413.94i | −0.294494 | − | 0.510078i | |||||
−2618.15 | − | 4534.77i | −0.158353 | − | 0.274276i | |||||
−1297.24 | + | 2246.88i | −0.0782799 | + | 0.135585i | |||||
9237.44 | + | 15999.7i | 0.556135 | + | 0.963254i | |||||
4646.53 | − | 8048.02i | 0.279098 | − | 0.483413i | |||||
−21561.7 | −1.29215 | −0.646075 | − | 0.763274i | ||||||
−0.646075 | + | 0.763274i | ||||||||
−7608.81 | −0.454936 | |||||||||
3101.86 | − | 5372.57i | 0.185038 | − | 0.320494i | |||||
−535.405 | + | 927.348i | −0.0318659 | + | 0.0551934i | |||||
−9643.85 | −0.572667 | |||||||||
21096.3 | 1.24988 | |||||||||
−4081.97 | + | 7070.18i | −0.241291 | + | 0.417929i | −0.961082 | − | 0.276262i | ||
0.719791 | + | 0.694191i | ||||||||
3655.59 | + | 6331.67i | 0.215597 | + | 0.373424i | |||||
8599.69 | − | 14895.1i | 0.506035 | − | 0.876478i | −0.493941 | − | 0.869496i | ||
0.999976 | − | 0.00698260i | ||||||||
11683.4 | + | 20236.2i | 0.685931 | + | 1.18807i | |||||
7984.82 | + | 13830.1i | 0.467730 | + | 0.810132i | |||||
−11424.3 | −0.667693 | |||||||||
13476.1 | + | 3408.10i | 0.785834 | + | 0.198737i | |||||
13220.9 | 0.769219 | |||||||||
−9742.36 | − | 16874.3i | −0.565556 | − | 0.979571i | |||||
−1530.84 | − | 2651.50i | −0.0886678 | − | 0.153577i | |||||
25340.2 | − | 43890.4i | 1.46444 | − | 2.53648i | |||||
3025.95 | + | 5241.09i | 0.174481 | + | 0.302210i | |||||
−10149.5 | + | 17579.4i | −0.583928 | + | 1.01139i | |||||
39161.1 | 2.24802 | |||||||||
−26519.7 | −1.51896 | −0.759478 | − | 0.650533i | ||||||
−0.759478 | + | 0.650533i | ||||||||
4827.70 | − | 8361.82i | 0.275899 | − | 0.477871i | |||||
−2479.02 | + | 4293.79i | −0.141359 | + | 0.244841i | |||||
−91.2969 | −0.00519441 | |||||||||
16854.5 | 0.956824 | 0.478412 | − | 0.878135i | ||||||
0.478412 | + | 0.878135i | ||||||||
−12619.1 | + | 21857.0i | −0.714800 | + | 1.23807i | |||||
11926.1 | + | 20656.6i | 0.674053 | + | 1.16749i | |||||
2373.02 | − | 4110.19i | 0.133825 | − | 0.231792i | |||||
−4522.75 | − | 7833.63i | −0.254496 | − | 0.440801i | |||||
−3652.57 | − | 6326.44i | −0.205079 | − | 0.355208i | |||||
22859.4 | 1.28066 | 0.640330 | − | 0.768100i | ||||||
0.640330 | + | 0.768100i | ||||||||
−12603.4 | − | 3187.39i | −0.704535 | − | 0.178177i | |||||
−3908.02 | −0.217982 | |||||||||
−16274.4 | − | 28188.1i | −0.905772 | − | 1.56884i | |||||
25203.4 | + | 43653.6i | 1.39967 | + | 2.42429i | |||||
2665.19 | − | 4616.25i | 0.147688 | − | 0.255804i | |||||
−6576.61 | − | 11391.0i | −0.363641 | − | 0.629845i | |||||
9144.52 | − | 15838.8i | 0.504530 | − | 0.873872i | |||||
−3489.61 | −0.192114 | −0.0960572 | − | 0.995376i | ||||||
−0.0960572 | + | 0.995376i | ||||||||
−1598.53 | −0.0878135 | |||||||||
−44025.8 | + | 76254.9i | −2.41328 | + | 4.17992i | |||||
1496.92 | − | 2592.74i | 0.0818764 | − | 0.141814i | |||||
−2454.93 | −0.133987 | |||||||||
−22051.3 | −1.20094 | |||||||||
720.889 | − | 1248.62i | 0.0391759 | − | 0.0678547i | |||||
6310.90 | + | 10930.8i | 0.342222 | + | 0.592747i | |||||
−15060.7 | + | 26086.0i | −0.814949 | + | 1.41153i | |||||
−1326.53 | − | 2297.61i | −0.0716258 | − | 0.124059i | |||||
−488.502 | − | 846.110i | −0.0263202 | − | 0.0455879i | 0.852565 | − | 0.522621i | ||
−0.878885 | + | 0.477033i | ||||||||
20581.6 | 1.10656 | |||||||||
6988.31 | − | 7188.12i | 0.374921 | − | 0.385640i | |||||
−27620.3 | −1.47866 | |||||||||
6253.50 | + | 10831.4i | 0.334072 | + | 0.578629i | |||||
−7969.48 | − | 13803.6i | −0.424838 | − | 0.735841i | |||||
6469.98 | − | 11206.3i | 0.344171 | − | 0.596121i | |||||
−1371.71 | − | 2375.87i | −0.0728136 | − | 0.126117i | |||||
−2196.86 | + | 3805.07i | −0.116368 | + | 0.201555i | −0.918326 | − | 0.395826i | ||
0.801958 | + | 0.597380i | ||||||||
9825.37 | 0.519352 | |||||||||
−31598.9 | −1.66674 | |||||||||
−15151.3 | + | 26242.7i | −0.797496 | + | 1.38130i | |||||
5969.86 | − | 10340.1i | 0.313567 | − | 0.543113i | |||||
24993.6 | 1.31003 | |||||||||
−12462.2 | −0.651833 | |||||||||
2320.15 | − | 4018.62i | 0.121101 | − | 0.209752i | |||||
−11707.1 | − | 20277.4i | −0.609779 | − | 1.05617i | |||||
5317.82 | − | 9210.73i | 0.276406 | − | 0.478749i | |||||
16137.8 | + | 27951.5i | 0.837050 | + | 1.44981i | 0.892350 | + | 0.451344i | ||
−0.0552997 | + | 0.998470i | ||||||||
−3564.30 | − | 6173.54i | −0.184491 | − | 0.319548i | |||||
7971.96 | 0.411777 | |||||||||
12848.4 | − | 7909.05i | 0.662285 | − | 0.407679i | |||||
7032.49 | 0.361745 | |||||||||
−707.148 | − | 1224.82i | −0.0362997 | − | 0.0628729i | |||||
1282.34 | + | 2221.09i | 0.0656898 | + | 0.113778i | |||||
14058.0 | − | 24349.2i | 0.718654 | − | 1.24474i | |||||
6895.02 | + | 11942.5i | 0.351750 | + | 0.609248i | 0.986556 | − | 0.163423i | ||
−0.634806 | + | 0.772671i | ||||||||
−19441.3 | + | 33673.2i | −0.989754 | + | 1.71430i | |||||
−27232.4 | −1.38355 | |||||||||
−2136.20 | −0.108307 | |||||||||
−3588.52 | + | 6215.49i | −0.181568 | + | 0.314485i | |||||
−5317.54 | + | 9210.26i | −0.268500 | + | 0.465056i | |||||
31204.5 | 1.57240 | 0.786198 | − | 0.617975i | ||||||
0.786198 | + | 0.617975i | ||||||||
−27093.4 | −1.36245 | |||||||||
17155.8 | − | 29714.8i | 0.860956 | − | 1.49122i | |||||
−12654.3 | − | 21917.9i | −0.633754 | − | 1.09769i | |||||
−14534.7 | + | 25174.9i | −0.726449 | + | 1.25825i | |||||
−2036.49 | − | 3527.31i | −0.101578 | − | 0.175938i | |||||
−1349.20 | − | 2336.88i | −0.0671598 | − | 0.116324i | 0.830490 | − | 0.557033i | ||
−0.897650 | + | 0.440709i | ||||||||
−1913.44 | −0.0950535 | |||||||||
23846.3 | − | 24528.1i | 1.18221 | − | 1.21601i | |||||
−20585.7 | −1.01850 | |||||||||
10259.2 | + | 17769.4i | 0.506558 | + | 0.877384i | 0.999971 | + | 0.00758908i | ||
−0.493413 | + | 0.869795i | ||||||||
−6756.24 | − | 11702.1i | −0.332924 | − | 0.576642i | |||||
5752.35 | − | 9963.37i | 0.282886 | − | 0.489972i | |||||
8662.94 | + | 15004.7i | 0.425165 | + | 0.736407i | |||||
11552.0 | − | 20008.7i | 0.565818 | − | 0.980025i | |||||
6457.12 | 0.315636 | |||||||||
5066.45 | 0.247162 | |||||||||
−1203.65 | + | 2084.79i | −0.0586016 | + | 0.101501i | |||||
−3646.10 | + | 6315.24i | −0.177161 | + | 0.306853i | −0.940907 | − | 0.338665i | ||
0.763746 | + | 0.645517i | ||||||||
−8203.85 | −0.397824 | |||||||||
−29049.5 | −1.40587 | |||||||||
5323.22 | − | 9220.09i | 0.257109 | − | 0.445326i | |||||
2720.08 | + | 4711.32i | 0.131118 | + | 0.227103i | |||||
−10523.2 | + | 18226.6i | −0.506248 | + | 0.876847i | |||||
5277.93 | + | 9141.64i | 0.253408 | + | 0.438915i | 0.964462 | − | 0.264222i | ||
−0.711054 | + | 0.703137i | ||||||||
−2786.55 | − | 4826.44i | −0.133525 | − | 0.231272i | |||||
87848.9 | 4.20120 | |||||||||
−9856.36 | − | 2492.67i | −0.470431 | − | 0.118972i | |||||
−9699.72 | −0.462043 | −0.231021 | − | 0.972949i | ||||||
−0.231021 | + | 0.972949i | ||||||||
18378.2 | + | 31832.0i | 0.873717 | + | 1.51332i | |||||
6631.18 | + | 11485.5i | 0.314633 | + | 0.544960i | |||||
2786.80 | − | 4826.87i | 0.131967 | − | 0.228573i | |||||
4799.10 | + | 8312.29i | 0.226813 | + | 0.392852i | |||||
7018.91 | − | 12157.1i | 0.331075 | − | 0.573439i | |||||
4676.28 | 0.220144 | |||||||||
−35000.5 | −1.64449 | |||||||||
−13647.8 | + | 23638.8i | −0.639992 | + | 1.10850i | 0.345442 | + | 0.938440i | ||
−0.985434 | + | 0.170059i | ||||||||
−9752.13 | + | 16891.2i | −0.456418 | + | 0.790540i | |||||
−39886.7 | −1.86315 | |||||||||
−10310.2 | −0.480664 | |||||||||
11898.4 | − | 20608.7i | 0.553631 | − | 0.958916i | −0.444378 | − | 0.895839i | ||
0.998009 | − | 0.0630769i | ||||||||
10137.5 | + | 17558.6i | 0.470779 | + | 0.815414i | |||||
−785.787 | + | 1361.02i | −0.0364210 | + | 0.0630831i | |||||
−8722.72 | − | 15108.2i | −0.403515 | − | 0.698908i | |||||
−17787.8 | − | 30809.3i | −0.821278 | − | 1.42249i | |||||
32379.0 | 1.49209 | |||||||||
−2994.22 | − | 757.238i | −0.137714 | − | 0.0348278i | |||||
−6529.26 | −0.299724 | |||||||||
23597.4 | + | 40871.9i | 1.08115 | + | 1.87262i | |||||
−8076.28 | − | 13988.5i | −0.369319 | − | 0.639679i | |||||
10172.7 | − | 17619.6i | 0.464293 | − | 0.804179i | |||||
11253.2 | + | 19491.1i | 0.512628 | + | 0.887898i | |||||
−4720.33 | + | 8175.84i | −0.214619 | + | 0.371730i | |||||
−23894.8 | −1.08435 | |||||||||
38347.5 | 1.73690 | 0.868451 | − | 0.495775i | ||||||
0.868451 | + | 0.495775i | ||||||||
5710.76 | − | 9891.32i | 0.258169 | − | 0.447162i | |||||
−16371.8 | + | 28356.7i | −0.738720 | + | 1.27950i | |||||
−6999.45 | −0.315227 | |||||||||
43990.9 | 1.97742 | |||||||||
32200.4 | − | 55772.6i | 1.44468 | − | 2.50227i | |||||
−9063.98 | − | 15699.3i | −0.405891 | − | 0.703023i | |||||
8895.83 | − | 15408.0i | 0.397608 | − | 0.688678i | |||||
−6102.15 | − | 10569.2i | −0.272228 | − | 0.471512i | |||||
−7374.21 | − | 12772.5i | −0.328357 | − | 0.568731i | |||||
10845.2 | 0.482006 | 0.241003 | − | 0.970524i | ||||||
0.241003 | + | 0.970524i | ||||||||
−14584.6 | − | 51515.1i | −0.646977 | − | 2.28523i | |||||
11046.0 | 0.489084 | |||||||||
1665.63 | + | 2884.95i | 0.0736110 | + | 0.127498i | |||||
−30641.3 | − | 53072.3i | −1.35163 | − | 2.34110i | |||||
−3447.58 | + | 5971.39i | −0.151793 | + | 0.262914i | |||||
−5130.48 | − | 8886.25i | −0.225468 | − | 0.390522i | |||||
−7615.09 | + | 13189.7i | −0.334034 | + | 0.578564i | |||||
−31878.3 | −1.39573 | |||||||||
6523.86 | 0.285103 | |||||||||
9414.37 | − | 16306.2i | 0.410659 | − | 0.711282i | |||||
−4732.13 | + | 8196.28i | −0.206034 | + | 0.356862i | |||||
−25939.8 | −1.12731 | −0.563656 | − | 0.826009i | ||||||
−0.563656 | + | 0.826009i | ||||||||
4352.31 | 0.188796 | |||||||||
−12557.6 | + | 21750.4i | −0.543720 | + | 0.941750i | 0.454966 | + | 0.890509i | ||
−0.998686 | + | 0.0512418i | ||||||||
5443.41 | + | 9428.26i | 0.235254 | + | 0.407472i | |||||
−5818.16 | + | 10077.3i | −0.250986 | + | 0.434721i | |||||
7033.45 | + | 12182.3i | 0.302853 | + | 0.524557i | |||||
7348.82 | + | 12728.5i | 0.315850 | + | 0.547069i | |||||
−9719.43 | −0.416971 | |||||||||
14904.9 | + | 3769.46i | 0.638259 | + | 0.161416i | |||||
−33962.5 | −1.45168 | |||||||||
−39317.3 | − | 68099.5i | −1.67748 | − | 2.90548i | |||||
294.739 | + | 510.502i | 0.0125521 | + | 0.0217409i | |||||
843.782 | − | 1461.47i | 0.0358687 | − | 0.0621264i | −0.847534 | − | 0.530741i | ||
0.883402 | + | 0.468615i | ||||||||
7526.25 | + | 13035.8i | 0.319353 | + | 0.553135i | |||||
−5845.12 | + | 10124.0i | −0.247567 | + | 0.428799i | −0.962850 | − | 0.270036i | ||
0.715283 | + | 0.698835i | ||||||||
−5830.67 | −0.246506 | |||||||||
−11563.2 | −0.487973 | |||||||||
3659.35 | − | 6338.18i | 0.154147 | − | 0.266990i | |||||
−23331.4 | + | 40411.2i | −0.981032 | + | 1.69920i | −0.322643 | + | 0.946521i | ||
−0.658390 | + | 0.752677i | ||||||||
29813.8 | 1.25133 | |||||||||
38751.9 | 1.62353 | 0.811767 | − | 0.583982i | ||||||
0.811767 | + | 0.583982i | ||||||||
2558.88 | − | 4432.11i | 0.107012 | − | 0.185350i | |||||
6901.00 | + | 11952.9i | 0.288078 | + | 0.498966i | |||||
12333.1 | − | 21361.6i | 0.513912 | − | 0.890122i | |||||
−15151.8 | − | 26243.6i | −0.630225 | − | 1.09158i | |||||
4727.81 | + | 8188.80i | 0.196296 | + | 0.339994i | |||||
4842.27 | 0.200687 | |||||||||
−3767.93 | − | 13308.9i | −0.155881 | − | 0.550598i | |||||
12467.1 | 0.514845 | |||||||||
−843.728 | − | 1461.38i | −0.0347806 | − | 0.0602417i | |||||
−11551.6 | − | 20008.0i | −0.475336 | − | 0.823306i | 0.524265 | − | 0.851555i | ||
−0.999601 | + | 0.0282492i | ||||||||
−18038.7 | + | 31244.0i | −0.740946 | + | 1.28336i | |||||
6932.40 | + | 12007.3i | 0.284243 | + | 0.492323i | |||||
−15652.4 | + | 27110.7i | −0.640637 | + | 1.10961i | |||||
−29595.7 | −1.20917 | |||||||||
6457.40 | 0.263357 | |||||||||
72.1963 | − | 125.048i | 0.00293921 | − | 0.00509085i | |||||
15602.3 | − | 27023.9i | 0.634063 | − | 1.09823i | |||||
−49007.0 | −1.98808 | |||||||||
8005.30 | 0.324178 | |||||||||
−10568.8 | + | 18305.8i | −0.427234 | + | 0.739990i | |||||
1063.05 | + | 1841.25i | 0.0428967 | + | 0.0742992i | |||||
−11495.7 | + | 19911.1i | −0.463063 | + | 0.802048i | |||||
12363.3 | + | 21413.8i | 0.497134 | + | 0.861061i | |||||
17640.0 | + | 30553.3i | 0.708066 | + | 1.22641i | 0.965574 | + | 0.260130i | ||
−0.257507 | + | 0.966276i | ||||||||
−28371.5 | −1.13683 | |||||||||
14332.3 | − | 14742.1i | 0.573279 | − | 0.589670i | |||||
−3705.59 | −0.147961 | |||||||||
696.225 | + | 1205.90i | 0.0277510 | + | 0.0480661i | 0.879567 | − | 0.475774i | ||
−0.851816 | + | 0.523841i | ||||||||
24000.3 | + | 41569.8i | 0.954962 | + | 1.65404i | |||||
20190.4 | − | 34970.8i | 0.801964 | − | 1.38904i | −0.116358 | − | 0.993207i | ||
0.918322 | − | 0.395835i | ||||||||
−1467.18 | − | 2541.23i | −0.0581749 | − | 0.100762i | |||||
−5479.90 | + | 9491.47i | −0.216904 | + | 0.375689i | |||||
9728.25 | 0.384392 | |||||||||
−23185.3 | −0.914527 | −0.457263 | − | 0.889331i | ||||||
−0.457263 | + | 0.889331i | ||||||||
13213.2 | − | 22885.9i | 0.520280 | − | 0.901151i | |||||
1264.09 | − | 2189.48i | 0.0496884 | − | 0.0860629i | |||||
23566.2 | 0.924724 | |||||||||
−29927.3 | −1.17230 | |||||||||
−3335.58 | + | 5777.39i | −0.130434 | + | 0.225919i | |||||
−16810.5 | − | 29116.6i | −0.656221 | − | 1.13661i | |||||
4939.19 | − | 8554.93i | 0.192476 | − | 0.333379i | |||||
−12980.2 | − | 22482.4i | −0.504958 | − | 0.874613i | |||||
−4850.03 | − | 8400.49i | −0.188352 | − | 0.326235i | |||||
35281.0 | 1.36779 | |||||||||
−24119.4 | + | 24809.0i | −0.933468 | + | 0.960157i | |||||
4196.00 | 0.162115 | |||||||||
−2687.98 | − | 4655.72i | −0.103674 | − | 0.179569i | |||||
−19168.1 | − | 33200.1i | −0.738038 | − | 1.27832i | −0.953378 | − | 0.301780i | ||
0.215339 | − | 0.976539i | ||||||||
−7472.35 | + | 12942.5i | −0.287220 | + | 0.497480i | |||||
33213.7 | + | 57527.8i | 1.27448 | + | 2.20747i | |||||
3792.37 | − | 6568.59i | 0.145274 | − | 0.251622i | |||||
39178.2 | 1.49824 | 0.749120 | − | 0.662435i | ||||||
0.749120 | + | 0.662435i | ||||||||
−85606.5 | −3.26817 | |||||||||
13737.3 | − | 23793.8i | 0.523554 | − | 0.906822i | −0.476070 | − | 0.879407i | ||
0.999624 | − | 0.0274144i | ||||||||
−2883.26 | + | 4993.96i | −0.109700 | + | 0.190006i | |||||
4338.92 | 0.164804 | |||||||||
4464.95 | 0.169304 | |||||||||
25920.2 | − | 44895.0i | 0.981188 | − | 1.69947i | 0.323405 | − | 0.946261i | ||
0.657784 | − | 0.753207i | ||||||||
13009.9 | + | 22533.9i | 0.491649 | + | 0.851562i | |||||
32033.7 | − | 55484.0i | 1.20852 | − | 2.09322i | |||||
−6787.34 | − | 11756.0i | −0.255632 | − | 0.442767i | |||||
10452.9 | + | 18104.9i | 0.393024 | + | 0.680737i | |||||
18300.3 | 0.686928 | |||||||||
−6445.67 | − | 22767.2i | −0.241541 | − | 0.853163i | |||||
−44312.5 | −1.65776 | |||||||||
3669.48 | + | 6355.73i | 0.137047 | + | 0.237373i | |||||
−1410.48 | − | 2443.02i | −0.0525901 | − | 0.0910887i | |||||
−39226.7 | + | 67942.7i | −1.46014 | + | 2.52903i | |||||
7823.61 | + | 13550.9i | 0.290732 | + | 0.503562i | |||||
3224.48 | − | 5584.96i | 0.119624 | − | 0.207196i | |||||
−3924.27 | −0.145343 | |||||||||
−10778.6 | −0.398544 | |||||||||
2166.81 | − | 3753.02i | 0.0799853 | − | 0.138539i | |||||
27278.4 | − | 47247.6i | 1.00528 | − | 1.74120i | |||||
−32174.9 | −1.18376 | |||||||||
2236.81 | 0.0821593 | |||||||||
10476.9 | − | 18146.5i | 0.384185 | − | 0.665429i | |||||
−9593.37 | − | 16616.2i | −0.351205 | − | 0.608304i | 0.635256 | − | 0.772302i | ||
−0.986461 | + | 0.163997i | ||||||||
1633.13 | − | 2828.67i | 0.0596888 | − | 0.103384i | |||||
−9570.07 | − | 16575.9i | −0.349196 | − | 0.604825i | |||||
−8709.14 | − | 15084.7i | −0.317258 | − | 0.549508i | |||||
15917.9 | 0.578906 | 0.289453 | − | 0.957192i | ||||||
0.289453 | + | 0.957192i | ||||||||
5671.60 | + | 20033.0i | 0.205927 | + | 0.727368i | |||||
24582.4 | 0.891085 | |||||||||
−11747.4 | − | 20347.2i | −0.425132 | − | 0.736350i | |||||
−8410.08 | − | 14566.7i | −0.303856 | − | 0.526295i | |||||
−9100.79 | + | 15763.0i | −0.328273 | + | 0.568586i | |||||
20824.6 | + | 36069.3i | 0.749934 | + | 1.29892i | |||||
8432.99 | − | 14606.4i | 0.303192 | − | 0.525144i | |||||
−980.295 | −0.0351871 | −0.0175936 | − | 0.999845i | ||||||
−0.0175936 | + | 0.999845i | ||||||||
23315.7 | 0.835538 | |||||||||
−7795.73 | + | 13502.6i | −0.278912 | + | 0.483090i | |||||
3743.34 | − | 6483.66i | 0.133710 | − | 0.231592i | |||||
−42147.4 | −1.50303 | |||||||||
−49084.3 | −1.74757 | |||||||||
1513.12 | − | 2620.81i | 0.0537851 | − | 0.0931585i | |||||
17864.4 | + | 30942.1i | 0.633975 | + | 1.09808i | |||||
5895.86 | − | 10211.9i | 0.208895 | − | 0.361816i | |||||
−6834.91 | − | 11838.4i | −0.241775 | − | 0.418766i | |||||
22729.3 | + | 39368.3i | 0.802718 | + | 1.39035i | 0.917821 | + | 0.396995i | ||
−0.115103 | + | 0.993354i | ||||||||
6053.21 | 0.213433 | |||||||||
−45249.9 | + | 46543.7i | −1.59292 | + | 1.63846i | |||||
−10876.7 | −0.382271 | |||||||||
11358.8 | + | 19674.0i | 0.398575 | + | 0.690352i | |||||
14785.5 | + | 25609.2i | 0.517982 | + | 0.897171i | |||||
−5106.20 | + | 8844.19i | −0.178599 | + | 0.309343i | |||||
28756.5 | + | 49807.8i | 1.00421 | + | 1.73934i | |||||
18517.2 | − | 32072.7i | 0.645604 | − | 1.11822i | −0.338558 | − | 0.940946i | ||
0.984162 | − | 0.177273i | ||||||||
−40629.9 | −1.41430 | |||||||||
13803.2 | 0.479713 | |||||||||
−2258.10 | + | 3911.14i | −0.0783521 | + | 0.135710i | |||||
−13043.1 | + | 22591.2i | −0.451851 | + | 0.782629i | −0.998501 | − | 0.0547324i | ||
0.546650 | + | 0.837361i | ||||||||
36362.5 | 1.25770 | |||||||||
7082.97 | 0.244595 | |||||||||
−1423.04 | + | 2464.77i | −0.0490634 | + | 0.0849804i | |||||
−16643.1 | − | 28826.7i | −0.572911 | − | 0.992311i | |||||
−10786.1 | + | 18682.2i | −0.370706 | + | 0.642082i | |||||
−21419.6 | − | 37099.9i | −0.734999 | − | 1.27306i | −0.954724 | − | 0.297494i | ||
0.219725 | − | 0.975562i | ||||||||
−8807.40 | − | 15254.9i | −0.301742 | − | 0.522632i | |||||
9163.55 | 0.313447 | |||||||||
3174.73 | − | 3265.50i | 0.108423 | − | 0.111523i | |||||
37409.5 | 1.27559 | |||||||||
15931.5 | + | 27594.1i | 0.542376 | + | 0.939424i | |||||
24043.7 | + | 41644.9i | 0.817262 | + | 1.41554i | 0.907692 | + | 0.419637i | ||
−0.0904297 | + | 0.995903i | ||||||||
−15224.7 | + | 26369.9i | −0.516684 | + | 0.894923i | |||||
4407.52 | + | 7634.05i | 0.149344 | + | 0.258672i | |||||
4227.37 | − | 7322.02i | 0.143016 | − | 0.247710i | |||||
47449.5 | 1.60274 | |||||||||
−6100.03 | −0.205723 | |||||||||
13118.4 | − | 22721.8i | 0.441727 | − | 0.765094i | |||||
11443.4 | − | 19820.6i | 0.384723 | − | 0.666360i | |||||
−25839.3 | −0.867351 | |||||||||
−12562.5 | −0.421029 | |||||||||
3747.02 | − | 6490.03i | 0.125385 | − | 0.217174i | |||||
1269.69 | + | 2199.17i | 0.0424212 | + | 0.0734757i | |||||
8153.17 | − | 14121.7i | 0.271979 | − | 0.471082i | |||||
61392.6 | + | 106335.i | 2.04480 | + | 3.54169i | |||||
29688.3 | + | 51421.6i | 0.987291 | + | 1.71004i | 0.631277 | + | 0.775558i | ||
0.356014 | + | 0.934481i | ||||||||
35843.6 | 1.19014 | |||||||||
−7636.45 | − | 26973.2i | −0.253166 | − | 0.894225i | |||||
7815.07 | 0.258687 | |||||||||
18380.4 | + | 31835.8i | 0.607473 | + | 1.05217i | 0.991655 | + | 0.128916i | ||
−0.384183 | + | 0.923257i | ||||||||
−2987.67 | − | 5174.80i | −0.0985901 | − | 0.170763i | |||||
8240.69 | − | 14273.3i | 0.271515 | − | 0.470278i | |||||
−16517.5 | − | 28609.1i | −0.543382 | − | 0.941165i | |||||
5163.24 | − | 8943.00i | 0.169596 | − | 0.293749i | |||||
11033.0 | 0.361843 | |||||||||
−18904.8 | −0.619056 | −0.309528 | − | 0.950890i | ||||||
−0.309528 | + | 0.950890i | ||||||||
28305.4 | − | 49026.3i | 0.925466 | − | 1.60295i | |||||
32602.1 | − | 56468.4i | 1.06432 | − | 1.84345i | |||||
12389.7 | 0.403852 | |||||||||
19617.0 | 0.638454 | |||||||||
11273.2 | − | 19525.8i | 0.366337 | − | 0.634515i | |||||
10770.5 | + | 18655.0i | 0.349466 | + | 0.605292i | 0.986155 | − | 0.165828i | ||
−0.636689 | + | 0.771121i | ||||||||
4007.99 | − | 6942.04i | 0.129847 | − | 0.224902i | |||||
9031.97 | + | 15643.8i | 0.292165 | + | 0.506045i | |||||
−4362.21 | − | 7555.57i | −0.140894 | − | 0.244035i | |||||
−83966.9 | −2.70790 | |||||||||
11975.7 | + | 3028.65i | 0.385624 | + | 0.0975244i | |||||
−35258.3 | −1.13362 | |||||||||
14424.9 | + | 24984.6i | 0.463083 | + | 0.802083i | |||||
−23250.3 | − | 40270.7i | −0.745277 | − | 1.29086i | −0.950065 | − | 0.312051i | ||
0.204788 | − | 0.978806i | ||||||||
4188.25 | − | 7254.26i | 0.134049 | − | 0.232180i | |||||
−46501.9 | − | 80543.6i | −1.48609 | − | 2.57399i | |||||
−32981.8 | + | 57126.1i | −1.05243 | + | 1.82287i | |||||
23325.7 | 0.743190 | |||||||||
12879.3 | 0.409736 | |||||||||
−27345.1 | + | 47363.2i | −0.868635 | + | 1.50452i | −0.00524355 | + | 0.999986i | ||
−0.863392 | + | 0.504534i | ||||||||
517.261 | − | 895.922i | 0.0164064 | − | 0.0284168i | |||||
−24006.8 | −0.760302 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 95.4.e.c.26.7 | yes | 20 | |
19.7 | even | 3 | 1805.4.a.r.1.4 | 10 | |||
19.11 | even | 3 | inner | 95.4.e.c.11.7 | ✓ | 20 | |
19.12 | odd | 6 | 1805.4.a.p.1.7 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.4.e.c.11.7 | ✓ | 20 | 19.11 | even | 3 | inner | |
95.4.e.c.26.7 | yes | 20 | 1.1 | even | 1 | trivial | |
1805.4.a.p.1.7 | 10 | 19.12 | odd | 6 | |||
1805.4.a.r.1.4 | 10 | 19.7 | even | 3 |