Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,4,Mod(58,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.58");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 171.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 |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 58.19 | ||
Character | 171.58 | ||
Dual form | 171.4.e.a.115.19 |
-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 .
0.989966 | + | 1.71467i | 0.350006 | + | 0.606228i | 0.986250 | − | 0.165260i | ||
−0.636244 | + | 0.771488i | ||||||||
4.88583 | + | 1.76881i | 0.940278 | + | 0.340408i | |||||
2.03993 | − | 3.53327i | 0.254992 | − | 0.441659i | |||||
1.25650 | − | 2.17632i | 0.112385 | − | 0.194656i | −0.804347 | − | 0.594160i | ||
0.916731 | + | 0.399504i | ||||||||
1.80387 | + | 10.1287i | 0.122738 | + | 0.689167i | |||||
−18.0950 | − | 31.3414i | −0.977036 | − | 1.69228i | −0.673044 | − | 0.739602i | ||
−0.303992 | − | 0.952674i | ||||||||
23.9173 | 1.05701 | |||||||||
20.7426 | + | 17.2842i | 0.768245 | + | 0.640156i | |||||
4.97556 | 0.157341 | |||||||||
17.8332 | + | 30.8880i | 0.488810 | + | 0.846645i | 0.999917 | − | 0.0128727i | ||
−0.511107 | + | 0.859517i | ||||||||
16.2165 | − | 13.6547i | 0.390107 | − | 0.328481i | |||||
32.9774 | − | 57.1185i | 0.703560 | − | 1.21860i | −0.263649 | − | 0.964619i | ||
0.967209 | − | 0.253983i | ||||||||
35.8268 | − | 62.0539i | 0.683937 | − | 1.18461i | |||||
9.98854 | − | 8.41061i | 0.171935 | − | 0.144774i | |||||
7.35786 | + | 12.7442i | 0.114967 | + | 0.199128i | |||||
27.0750 | 0.386274 | 0.193137 | − | 0.981172i | ||||||
0.193137 | + | 0.981172i | ||||||||
−9.10228 | + | 52.6775i | −0.119190 | + | 0.689790i | |||||
−19.0000 | −0.229416 | |||||||||
−5.12635 | − | 8.87910i | −0.0573143 | − | 0.0992713i | |||||
−32.9718 | − | 185.135i | −0.342621 | − | 1.92380i | |||||
−35.3085 | + | 61.1562i | −0.342173 | + | 0.592661i | |||||
−78.7214 | + | 136.349i | −0.713676 | + | 1.23612i | 0.249792 | + | 0.968300i | ||
−0.963468 | + | 0.267824i | ||||||||
116.856 | + | 42.3052i | 0.993879 | + | 0.359813i | |||||
59.3424 | + | 102.784i | 0.474739 | + | 0.822273i | |||||
130.586 | 0.985000 | |||||||||
70.7723 | + | 121.137i | 0.504449 | + | 0.863441i | |||||
−147.650 | −0.996545 | |||||||||
−119.004 | − | 206.121i | −0.762016 | − | 1.31985i | −0.941810 | − | 0.336146i | ||
0.179794 | − | 0.983704i | ||||||||
24.3097 | + | 8.80084i | 0.147944 | + | 0.0535602i | |||||
−37.5030 | + | 64.9570i | −0.217282 | + | 0.376343i | −0.953976 | − | 0.299883i | ||
0.736694 | + | 0.676226i | ||||||||
81.1012 | − | 140.471i | 0.448025 | − | 0.776002i | |||||
32.4949 | + | 182.457i | 0.171413 | + | 0.962476i | |||||
26.8034 | + | 46.4248i | 0.135198 | + | 0.234170i | |||||
−90.9452 | −0.439216 | |||||||||
103.383 | − | 38.0306i | 0.478627 | − | 0.176067i | |||||
18.8827 | 0.0839000 | 0.0419500 | − | 0.999120i | ||||||
0.0419500 | + | 0.999120i | ||||||||
−18.8094 | − | 32.5788i | −0.0802968 | − | 0.139078i | |||||
262.154 | − | 220.740i | 1.07636 | − | 0.906327i | |||||
30.0521 | − | 52.0517i | 0.118791 | − | 0.205753i | |||||
−85.4586 | + | 148.019i | −0.325522 | + | 0.563820i | −0.981618 | − | 0.190857i | ||
0.656096 | + | 0.754677i | ||||||||
284.805 | − | 239.813i | 1.04634 | − | 0.881048i | |||||
34.8186 | + | 60.3077i | 0.123484 | + | 0.213880i | 0.921139 | − | 0.389233i | ||
−0.797656 | + | 0.603113i | ||||||||
145.514 | 0.498571 | |||||||||
63.6790 | − | 23.4249i | 0.210949 | − | 0.0775997i | |||||
−311.726 | −0.999163 | |||||||||
254.788 | + | 441.305i | 0.790736 | + | 1.36959i | 0.925512 | + | 0.378719i | ||
−0.134776 | + | 0.990876i | ||||||||
13.4072 | + | 75.2806i | 0.0403158 | + | 0.226371i | |||||
−483.356 | + | 837.197i | −1.40920 | + | 2.44081i | |||||
−117.494 | + | 203.506i | −0.332323 | + | 0.575601i | |||||
132.284 | + | 47.8907i | 0.363205 | + | 0.131491i | |||||
−134.543 | − | 233.036i | −0.358804 | − | 0.621467i | |||||
211.211 | 0.547398 | 0.273699 | − | 0.961815i | ||||||
0.273699 | + | 0.961815i | ||||||||
−137.649 | + | 241.273i | −0.346882 | + | 0.608021i | |||||
89.6296 | 0.219739 | |||||||||
−432.783 | − | 749.602i | −1.03273 | − | 1.78875i | |||||
−92.8307 | − | 33.6074i | −0.215715 | − | 0.0780950i | |||||
235.619 | − | 408.105i | 0.533420 | − | 0.923910i | |||||
−24.0526 | + | 41.6603i | −0.0530742 | + | 0.0919272i | −0.891342 | − | 0.453332i | ||
0.838268 | + | 0.545259i | ||||||||
−9.34100 | − | 52.4493i | −0.0200986 | − | 0.112853i | |||||
−320.221 | − | 554.638i | −0.672132 | − | 1.16417i | −0.977298 | − | 0.211868i | ||
0.305166 | − | 0.952299i | ||||||||
−148.507 | −0.304199 | |||||||||
166.375 | − | 962.860i | 0.332718 | − | 1.92554i | |||||
438.876 | 0.857179 | |||||||||
−82.8721 | − | 143.539i | −0.158139 | − | 0.273904i | |||||
−280.685 | + | 236.344i | −0.523484 | + | 0.440788i | |||||
160.552 | − | 278.084i | 0.292754 | − | 0.507065i | −0.681706 | − | 0.731626i | ||
0.974460 | + | 0.224561i | ||||||||
55.2313 | − | 95.6635i | 0.0984968 | − | 0.170601i | |||||
−625.796 | + | 526.937i | −1.09184 | + | 0.919358i | |||||
−90.0327 | − | 155.941i | −0.153728 | − | 0.266265i | |||||
−564.580 | −0.943709 | −0.471855 | − | 0.881676i | ||||||
−0.471855 | + | 0.881676i | ||||||||
496.108 | + | 413.392i | 0.812039 | + | 0.676649i | |||||
−1223.30 | −1.96132 | −0.980660 | − | 0.195717i | ||||||
−0.980660 | + | 0.195717i | ||||||||
18.6932 | + | 32.3776i | 0.0293655 | + | 0.0508625i | |||||
108.131 | + | 607.151i | 0.166479 | + | 0.934770i | |||||
−38.7588 | + | 67.1321i | −0.0584991 | + | 0.101323i | |||||
645.383 | − | 1117.84i | 0.955171 | − | 1.65441i | |||||
638.020 | + | 230.982i | 0.926174 | + | 0.335302i | |||||
527.668 | + | 913.948i | 0.751485 | + | 1.30161i | 0.947103 | + | 0.320930i | ||
−0.195618 | + | 0.980680i | ||||||||
36.9806 | 0.0516819 | |||||||||
131.512 | + | 717.040i | 0.180400 | + | 0.983593i | |||||
−338.404 | −0.455738 | |||||||||
−408.359 | − | 707.299i | −0.540039 | − | 0.935376i | −0.998901 | − | 0.0468679i | ||
0.458862 | − | 0.888508i | ||||||||
−721.393 | − | 261.165i | −0.937029 | − | 0.339232i | |||||
34.0198 | − | 58.9240i | 0.0434113 | − | 0.0751906i | |||||
−68.9386 | + | 119.405i | −0.0864400 | + | 0.149718i | |||||
−216.843 | − | 1217.57i | −0.267219 | − | 1.50042i | |||||
426.523 | + | 738.759i | 0.516676 | + | 0.894909i | |||||
−119.022 | −0.141756 | −0.0708782 | − | 0.997485i | ||||||
−0.0708782 | + | 0.997485i | ||||||||
103.206 | + | 85.9988i | 0.120877 | + | 0.100723i | |||||
−2386.90 | −2.74961 | |||||||||
321.173 | + | 556.288i | 0.363963 | + | 0.630403i | |||||
−298.130 | + | 251.033i | −0.332415 | + | 0.279902i | |||||
−504.462 | + | 873.754i | −0.553524 | + | 0.958732i | |||||
−23.8735 | + | 41.3501i | −0.0257828 | + | 0.0446571i | |||||
644.714 | − | 542.866i | 0.685426 | − | 0.577146i | |||||
470.013 | + | 814.087i | 0.491986 | + | 0.852144i | 0.999957 | − | 0.00922935i | ||
−0.507972 | + | 0.861374i | ||||||||
−1914.02 | −1.97291 | |||||||||
−163.968 | + | 948.931i | −0.166459 | + | 0.963345i | |||||
484.219 | 0.484219 | |||||||||
−607.124 | − | 1051.57i | −0.598129 | − | 1.03599i | −0.993097 | − | 0.117296i | ||
0.394968 | − | 0.918695i | ||||||||
48.8399 | + | 274.234i | 0.0474105 | + | 0.266208i | |||||
56.6910 | − | 98.1917i | 0.0542324 | − | 0.0939332i | −0.837635 | − | 0.546231i | ||
0.891867 | + | 0.452298i | ||||||||
788.731 | − | 1366.12i | 0.743667 | − | 1.28807i | |||||
−444.343 | − | 160.865i | −0.412985 | − | 0.149513i | |||||
209.092 | + | 362.158i | 0.191593 | + | 0.331848i | |||||
1158.81 | 1.04697 | 0.523487 | − | 0.852034i | ||||||
0.523487 | + | 0.852034i | ||||||||
572.382 | − | 2.94497i | 0.509977 | − | 0.00262388i | |||||
553.494 | 0.486377 | 0.243189 | − | 0.969979i | ||||||
0.243189 | + | 0.969979i | ||||||||
88.7303 | + | 153.685i | 0.0769100 | + | 0.133212i | |||||
92.2577 | + | 33.4000i | 0.0788893 | + | 0.0285602i | |||||
266.280 | − | 461.211i | 0.224653 | − | 0.389110i | |||||
−146.584 | + | 253.890i | −0.122030 | + | 0.211363i | −0.920568 | − | 0.390582i | ||
0.798538 | + | 0.601945i | ||||||||
−34.2735 | − | 192.444i | −0.0281580 | − | 0.158106i | |||||
197.827 | + | 342.646i | 0.160413 | + | 0.277843i | |||||
−971.040 | −0.777231 | |||||||||
1671.29 | − | 614.798i | 1.32060 | − | 0.485796i | |||||
−95.2449 | −0.0743051 | |||||||||
−489.922 | − | 848.570i | −0.377404 | − | 0.653683i | |||||
238.899 | − | 201.159i | 0.181737 | − | 0.153027i | |||||
29.4532 | − | 51.0145i | 0.0221287 | − | 0.0383280i | |||||
634.015 | − | 1098.15i | 0.470500 | − | 0.814930i | |||||
−679.353 | + | 572.033i | −0.498010 | + | 0.419337i | |||||
153.007 | + | 265.016i | 0.110810 | + | 0.191929i | |||||
612.379 | 0.438183 | |||||||||
1815.69 | − | 667.920i | 1.28377 | − | 0.472247i | |||||
567.894 | 0.396791 | 0.198395 | − | 0.980122i | ||||||
0.198395 | + | 0.980122i | ||||||||
−214.338 | − | 371.244i | −0.148008 | − | 0.256357i | |||||
63.4450 | + | 356.240i | 0.0433025 | + | 0.243141i | |||||
164.081 | − | 284.197i | 0.110699 | − | 0.191736i | |||||
−778.288 | + | 1348.03i | −0.519079 | + | 0.899071i | 0.480675 | + | 0.876899i | ||
−0.999754 | + | 0.0221726i | ||||||||
710.958 | + | 257.387i | 0.468795 | + | 0.169717i | |||||
343.804 | + | 595.487i | 0.224148 | + | 0.388235i | |||||
635.763 | 0.409863 | |||||||||
352.559 | − | 1.81395i | 0.224766 | − | 0.00115645i | |||||
647.563 | 0.408294 | |||||||||
782.857 | + | 1355.95i | 0.488204 | + | 0.845594i | 0.999908 | − | 0.0135677i | ||
−0.511704 | + | 0.859162i | ||||||||
−1523.04 | − | 551.385i | −0.939491 | − | 0.340123i | |||||
480.105 | − | 831.565i | 0.292964 | − | 0.507428i | −0.681546 | − | 0.731776i | ||
0.974509 | + | 0.224348i | ||||||||
−185.522 | + | 321.334i | −0.111996 | + | 0.193983i | |||||
464.262 | + | 2606.81i | 0.277290 | + | 1.55697i | |||||
−558.915 | − | 968.070i | −0.330304 | − | 0.572103i | |||||
2352.37 | 1.37563 | |||||||||
−67.6521 | + | 391.522i | −0.0391505 | + | 0.226576i | |||||
−598.113 | −0.342556 | |||||||||
−1211.03 | − | 2097.56i | −0.686474 | − | 1.18901i | |||||
−3842.44 | + | 3235.43i | −2.15591 | + | 1.81533i | |||||
38.5195 | − | 66.7177i | 0.0213938 | − | 0.0370552i | |||||
287.163 | − | 497.380i | 0.157888 | − | 0.273470i | −0.776219 | − | 0.630463i | ||
0.934107 | + | 0.356994i | ||||||||
−934.018 | + | 786.468i | −0.508415 | + | 0.428099i | |||||
−576.757 | − | 998.973i | −0.310833 | − | 0.538379i | 0.667710 | − | 0.744422i | ||
−0.978543 | + | 0.206043i | ||||||||
−454.429 | −0.242494 | |||||||||
561.607 | + | 467.971i | 0.296753 | + | 0.247276i | |||||
2555.63 | 1.33726 | |||||||||
94.2448 | + | 163.237i | 0.0488382 | + | 0.0845903i | |||||
−245.159 | − | 1376.56i | −0.125823 | − | 0.706491i | |||||
−1033.02 | + | 1789.25i | −0.525122 | + | 0.909537i | 0.474450 | + | 0.880282i | ||
−0.999572 | + | 0.0292550i | ||||||||
−1044.75 | + | 1809.56i | −0.526048 | + | 0.911143i | |||||
1031.94 | + | 373.593i | 0.514707 | + | 0.186339i | |||||
−203.807 | − | 353.004i | −0.100702 | − | 0.174422i | |||||
5697.85 | 2.78915 | |||||||||
−1099.30 | + | 935.344i | −0.533141 | + | 0.453627i | |||||
672.746 | 0.323273 | 0.161637 | − | 0.986850i | ||||||
0.161637 | + | 0.986850i | ||||||||
348.660 | + | 603.897i | 0.166011 | + | 0.287539i | |||||
437.915 | + | 158.538i | 0.206616 | + | 0.0748010i | |||||
808.524 | − | 1400.40i | 0.378034 | − | 0.654774i | |||||
−1985.68 | + | 3439.31i | −0.920101 | + | 1.59366i | −0.120845 | + | 0.992671i | ||
−0.799256 | + | 0.600991i | ||||||||
−788.598 | − | 4427.94i | −0.362153 | − | 2.03347i | |||||
−1076.52 | − | 1864.58i | −0.489993 | − | 0.848693i | |||||
134.714 | 0.0607769 | |||||||||
−394.110 | − | 328.400i | −0.176247 | − | 0.146862i | |||||
284.111 | 0.125949 | |||||||||
305.277 | + | 528.756i | 0.134161 | + | 0.232373i | 0.925277 | − | 0.379293i | ||
−0.791116 | + | 0.611666i | ||||||||
1873.06 | − | 1577.16i | 0.816069 | − | 0.687152i | |||||
2147.60 | − | 3719.75i | 0.927675 | − | 1.60678i | |||||
−262.428 | + | 454.539i | −0.112394 | + | 0.194672i | |||||
−191.206 | + | 161.000i | −0.0811973 | + | 0.0683703i | |||||
−117.828 | − | 204.084i | −0.0496155 | − | 0.0859366i | |||||
3262.59 | 1.36233 | 0.681167 | − | 0.732128i | ||||||
0.681167 | + | 0.732128i | ||||||||
47.1344 | − | 272.781i | 0.0195177 | − | 0.112955i | |||||
−781.862 | −0.321079 | −0.160540 | − | 0.987029i | ||||||
−0.160540 | + | 0.987029i | ||||||||
−2362.95 | − | 4092.75i | −0.962381 | − | 1.66689i | |||||
−583.491 | − | 3276.28i | −0.235699 | − | 1.32344i | |||||
−1882.81 | + | 3261.11i | −0.754360 | + | 1.30659i | |||||
23.7261 | − | 41.0948i | 0.00942907 | − | 0.0163316i | |||||
−725.578 | − | 262.680i | −0.286032 | − | 0.103552i | |||||
482.835 | + | 836.295i | 0.188815 | + | 0.327037i | |||||
2079.00 | 0.806525 | |||||||||
2516.00 | − | 4410.08i | 0.968317 | − | 1.69728i | |||||
−94.5357 | −0.0360965 | |||||||||
−638.536 | − | 1105.98i | −0.241900 | − | 0.418983i | 0.719356 | − | 0.694642i | ||
−0.961255 | + | 0.275659i | ||||||||
2144.27 | + | 776.288i | 0.805986 | + | 0.291791i | |||||
310.504 | − | 537.809i | 0.115806 | − | 0.200582i | −0.802296 | − | 0.596927i | ||
0.918102 | + | 0.396345i | ||||||||
−930.595 | + | 1611.84i | −0.344396 | + | 0.596511i | |||||
−151.006 | − | 847.890i | −0.0554551 | − | 0.311378i | |||||
1972.03 | + | 3415.65i | 0.718669 | + | 1.24477i | |||||
−1997.22 | −0.722315 | −0.361157 | − | 0.932505i | ||||||
−0.361157 | + | 0.932505i | ||||||||
−1789.43 | + | 658.258i | −0.642268 | + | 0.236265i | |||||
1311.08 | 0.467036 | 0.233518 | − | 0.972352i | ||||||
0.233518 | + | 0.972352i | ||||||||
1419.31 | + | 2458.32i | 0.501802 | + | 0.869147i | |||||
1276.31 | − | 1074.68i | 0.447879 | − | 0.377126i | |||||
1202.06 | − | 2082.04i | 0.418698 | − | 0.725206i | |||||
−4306.74 | + | 7459.49i | −1.48903 | + | 2.57908i | |||||
439.061 | − | 369.701i | 0.150688 | − | 0.126884i | |||||
214.757 | + | 371.970i | 0.0731673 | + | 0.126729i | |||||
224.489 | 0.0759266 | |||||||||
−3989.58 | + | 1467.61i | −1.33959 | + | 0.492781i | |||||
970.572 | 0.323543 | |||||||||
−338.831 | − | 586.872i | −0.112141 | − | 0.194234i | |||||
−164.053 | − | 921.153i | −0.0539084 | − | 0.302693i | |||||
−2225.01 | + | 3853.82i | −0.725951 | + | 1.25738i | 0.232630 | + | 0.972565i | ||
−0.958581 | + | 0.284819i | ||||||||
430.857 | − | 746.267i | 0.139582 | − | 0.241763i | |||||
−2758.44 | − | 998.637i | −0.887349 | − | 0.321246i | |||||
1147.18 | + | 1986.98i | 0.366447 | + | 0.634705i | |||||
174.998 | 0.0555106 | |||||||||
1692.68 | + | 2897.28i | 0.533206 | + | 0.912663i | |||||
2714.46 | 0.849168 | |||||||||
547.941 | + | 949.061i | 0.170235 | + | 0.294856i | |||||
−5976.83 | − | 2163.79i | −1.84419 | − | 0.667649i | |||||
182.839 | − | 316.686i | 0.0560317 | − | 0.0970497i | |||||
892.864 | − | 1546.49i | 0.271767 | − | 0.470714i | |||||
34.0620 | + | 191.256i | 0.0102977 | + | 0.0578211i | |||||
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0.158518 | − | 0.987356i | ||||||||
−5870.10 | −1.75095 | |||||||||
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−0.998869 | + | 0.0475544i | ||||||||
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1629.99 | − | 2823.22i | 0.470361 | − | 0.814689i | −0.529064 | − | 0.848582i | ||
0.999425 | + | 0.0338924i | ||||||||
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5130.47 | − | 4319.99i | 1.46130 | − | 1.23045i | |||||
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2708.69 | + | 2257.08i | 0.756721 | + | 0.630554i | |||||
1280.56 | 0.355466 | |||||||||
98.1314 | + | 169.968i | 0.0270670 | + | 0.0468814i | |||||
961.493 | + | 5398.74i | 0.263526 | + | 1.47969i | |||||
970.012 | − | 1680.11i | 0.264187 | − | 0.457586i | |||||
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0.643623 | + | 0.765343i | ||||||||
180.681 | + | 65.4117i | 0.0485954 | + | 0.0175929i | |||||
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116.631 | 0.0309806 | |||||||||
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1214.67 | + | 2103.87i | 0.316745 | + | 0.548619i | |||||
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606.235 | + | 1050.03i | 0.153367 | + | 0.265639i | |||||
6911.40 | 1.73802 | 0.869012 | − | 0.494791i | ||||||
0.869012 | + | 0.494791i | ||||||||
−3062.65 | − | 2552.02i | −0.765591 | − | 0.637945i | |||||
−5615.42 | −1.39541 | |||||||||
562.196 | + | 973.751i | 0.138879 | + | 0.240546i | |||||
270.440 | − | 227.718i | 0.0664142 | − | 0.0559225i | |||||
2179.88 | − | 3775.66i | 0.532196 | − | 0.921791i | |||||
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0.846966 | + | 0.531646i | ||||||||
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1094.19 | − | 6332.37i | 0.259496 | − | 1.50178i | |||||
−3081.92 | −0.726723 | |||||||||
3271.54 | + | 5666.47i | 0.767041 | + | 1.32855i | 0.939161 | + | 0.343478i | ||
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777.190 | + | 4363.89i | 0.181185 | + | 1.01734i | |||||
265.387 | − | 459.664i | 0.0615192 | − | 0.106554i | |||||
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−1680.21 | −0.380833 | −0.190417 | − | 0.981703i | ||||||
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352.132 | + | 602.727i | 0.0793706 | + | 0.135855i | |||||
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199.214 | + | 345.049i | 0.0444086 | + | 0.0769180i | |||||
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585.227 | + | 3286.02i | 0.127632 | + | 0.716650i | |||||
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−0.901334 | + | 0.433125i | ||||||||
1901.15 | 0.410156 | |||||||||
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−0.950142 | + | 0.311818i | ||||||||
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3203.55 | − | 5548.72i | 0.672903 | − | 1.16550i | −0.304174 | − | 0.952616i | ||
0.977077 | − | 0.212885i | ||||||||
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2328.77 | + | 4033.54i | 0.481479 | + | 0.833945i | |||||
6185.48 | 1.27219 | |||||||||
4110.19 | − | 1511.97i | 0.840956 | − | 0.309354i | |||||
−4179.94 | −0.850792 | |||||||||
−592.111 | − | 1025.57i | −0.119896 | − | 0.207667i | |||||
856.437 | + | 4808.85i | 0.172527 | + | 0.968728i | |||||
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0.638466 | + | 0.769650i | ||||||||
−9351.59 | − | 3385.55i | −1.85509 | − | 0.671596i | |||||
60.4441 | + | 104.692i | 0.0119295 | + | 0.0206624i | |||||
451.624 | 0.0886828 | |||||||||
−2479.60 | + | 4346.29i | −0.484448 | + | 0.849148i | |||||
1137.13 | 0.221047 | |||||||||
5192.05 | + | 8992.90i | 1.00423 | + | 1.73937i | |||||
2365.81 | + | 856.492i | 0.455300 | + | 0.164832i | |||||
1260.08 | − | 2182.53i | 0.241296 | − | 0.417937i | |||||
1141.94 | − | 1977.90i | 0.217587 | − | 0.376872i | |||||
−1106.27 | − | 6211.67i | −0.209748 | − | 1.17773i | |||||
−139.799 | − | 242.140i | −0.0263751 | − | 0.0456831i | |||||
−1609.43 | −0.302149 | |||||||||
−246.445 | + | 1426.25i | −0.0460402 | + | 0.266448i | |||||
5195.75 | 0.965919 | 0.482959 | − | 0.875643i | ||||||
0.482959 | + | 0.875643i | ||||||||
−2633.08 | − | 4560.62i | −0.487122 | − | 0.843720i | |||||
450.665 | − | 379.472i | 0.0829691 | − | 0.0698622i | |||||
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2429.65 | − | 4208.28i | 0.442999 | − | 0.767297i | −0.554911 | − | 0.831910i | ||
0.997910 | + | 0.0646123i | ||||||||
6270.01 | − | 5279.52i | 1.13772 | − | 0.957993i | |||||
−3796.70 | − | 6576.08i | −0.685630 | − | 1.18755i | −0.973238 | − | 0.229798i | ||
0.287608 | − | 0.957748i | ||||||||
−4090.62 | −0.735182 | |||||||||
−1886.44 | − | 1571.92i | −0.337425 | − | 0.281167i | |||||
4305.64 | 0.766490 | |||||||||
−3502.14 | − | 6065.88i | −0.620504 | − | 1.07474i | −0.989392 | − | 0.145270i | ||
0.368888 | − | 0.929474i | ||||||||
380.998 | + | 2139.29i | 0.0671865 | + | 0.377249i | |||||
4244.44 | − | 7351.59i | 0.744962 | − | 1.29031i | |||||
551.447 | − | 955.134i | 0.0963338 | − | 0.166855i | |||||
5661.74 | + | 2049.71i | 0.984446 | + | 0.356398i | |||||
5640.67 | + | 9769.93i | 0.976219 | + | 1.69086i | |||||
−514.426 | −0.0886174 | |||||||||
2801.77 | + | 998.048i | 0.480413 | + | 0.171133i | |||||
7827.83 | 1.33603 | |||||||||
665.995 | + | 1153.54i | 0.113147 | + | 0.195977i | |||||
2704.28 | + | 979.027i | 0.457330 | + | 0.165567i | |||||
−2043.94 | + | 3540.21i | −0.344078 | + | 0.595961i | |||||
9220.75 | − | 15970.8i | 1.54516 | − | 2.67629i | |||||
161.680 | + | 907.827i | 0.0269703 | + | 0.151437i | |||||
−1398.51 | − | 2422.29i | −0.232232 | − | 0.402238i | 0.726232 | − | 0.687449i | ||
−0.958465 | + | 0.285211i | ||||||||
−3332.11 | −0.550822 | |||||||||
391.677 | + | 326.373i | 0.0644557 | + | 0.0537091i | |||||
−7863.04 | −1.28816 | |||||||||
−403.466 | − | 698.824i | −0.0658021 | − | 0.113973i | |||||
2116.80 | − | 1782.40i | 0.343693 | − | 0.289398i | |||||
−3481.07 | + | 6029.39i | −0.562689 | + | 0.974605i | 0.434572 | + | 0.900637i | ||
−0.997261 | + | 0.0739681i | ||||||||
2131.43 | − | 3691.74i | 0.343001 | − | 0.594095i | |||||
−1165.27 | + | 981.185i | −0.186692 | + | 0.157200i | |||||
−138.796 | − | 240.402i | −0.0221391 | − | 0.0383460i | |||||
−2675.19 | −0.424838 | |||||||||
172.943 | − | 1000.87i | 0.0273442 | − | 0.158249i | |||||
22572.1 | 3.55329 | |||||||||
832.769 | + | 1442.40i | 0.130523 | + | 0.226072i | |||||
360.471 | + | 2024.03i | 0.0562525 | + | 0.315855i | |||||
−604.428 | + | 1046.90i | −0.0939140 | + | 0.162664i | |||||
943.257 | − | 1633.77i | 0.145927 | − | 0.252753i | −0.783791 | − | 0.621024i | ||
0.929718 | + | 0.368271i | ||||||||
−4744.33 | − | 1717.59i | −0.730813 | − | 0.264576i | |||||
−4848.28 | − | 8397.47i | −0.743618 | − | 1.28798i | −0.950838 | − | 0.309689i | ||
0.207220 | − | 0.978294i | ||||||||
8504.20 | 1.29877 | |||||||||
9253.07 | − | 47.6080i | 1.40710 | − | 0.00723968i | |||||
5785.18 | 0.875998 | |||||||||
−2894.39 | − | 5013.24i | −0.436411 | − | 0.755886i | 0.560999 | − | 0.827817i | ||
−0.997410 | + | 0.0719309i | ||||||||
−465.350 | − | 168.470i | −0.0698675 | − | 0.0252941i | |||||
−709.395 | + | 1228.71i | −0.106058 | + | 0.183699i | |||||
−242.797 | + | 420.537i | −0.0361467 | + | 0.0626079i | |||||
−892.714 | − | 5012.55i | −0.132346 | − | 0.743115i | |||||
3229.86 | + | 5594.28i | 0.476825 | + | 0.825885i | |||||
11197.3 | 1.64616 | 0.823081 | − | 0.567924i | ||||||
0.823081 | + | 0.567924i | ||||||||
1523.03 | − | 560.262i | 0.222975 | − | 0.0820233i | |||||
361.000 | 0.0526316 | |||||||||
−774.017 | − | 1340.64i | −0.112380 | − | 0.194647i | |||||
234.139 | − | 197.151i | 0.0338542 | − | 0.0285062i | |||||
−4869.12 | + | 8433.56i | −0.701129 | + | 1.21439i | |||||
−1537.07 | + | 2662.29i | −0.220422 | + | 0.381783i | |||||
5040.10 | − | 4243.90i | 0.719810 | − | 0.606099i | |||||
794.879 | + | 1376.77i | 0.113058 | + | 0.195822i | 0.917002 | − | 0.398883i | ||
−0.803944 | + | 0.594705i | ||||||||
−2316.88 | −0.328196 | |||||||||
−4331.02 | + | 1593.21i | −0.611013 | + | 0.224767i | |||||
93.9522 | 0.0132009 | |||||||||
−3821.86 | − | 6619.66i | −0.534828 | − | 0.926350i | |||||
278.803 | + | 1565.46i | 0.0388582 | + | 0.218187i | |||||
−919.929 | + | 1593.36i | −0.127700 | + | 0.221183i | −0.922785 | − | 0.385315i | ||
0.795085 | + | 0.606498i | ||||||||
−955.980 | + | 1655.81i | −0.132173 | + | 0.228930i | |||||
2991.98 | + | 1083.18i | 0.412014 | + | 0.149161i | |||||
6093.84 | + | 10554.8i | 0.835813 | + | 1.44767i | |||||
−15697.7 | −2.14449 | |||||||||
10052.6 | − | 51.7216i | 1.36786 | − | 0.00703776i | |||||
−7320.77 | −0.992196 | −0.496098 | − | 0.868266i | ||||||
−0.496098 | + | 0.868266i | ||||||||
97.4007 | + | 168.703i | 0.0131488 | + | 0.0227744i | |||||
2774.63 | + | 1004.50i | 0.373094 | + | 0.135071i | |||||
1264.26 | − | 2189.76i | 0.169333 | − | 0.293293i | |||||
691.918 | − | 1198.44i | 0.0923116 | − | 0.159888i | −0.816172 | − | 0.577809i | ||
0.908483 | + | 0.417921i | ||||||||
−390.557 | − | 2192.96i | −0.0519024 | − | 0.291429i | |||||
−1621.85 | − | 2809.12i | −0.214693 | − | 0.371860i | |||||
1229.56 | 0.162131 | |||||||||
−320.141 | + | 1852.75i | −0.0420509 | + | 0.243361i | |||||
3835.19 | 0.501809 | |||||||||
449.284 | + | 778.182i | 0.0585594 | + | 0.101428i | 0.893819 | − | 0.448428i | ||
−0.835260 | + | 0.549856i | ||||||||
1304.36 | − | 1098.31i | 0.169356 | − | 0.142602i | |||||
−2131.39 | + | 3691.67i | −0.275675 | + | 0.477483i | |||||
−11560.6 | + | 20023.5i | −1.48953 | + | 2.57995i | |||||
−6187.00 | + | 5209.62i | −0.794130 | + | 0.668678i | |||||
−1977.18 | − | 3424.58i | −0.252814 | − | 0.437887i | |||||
2652.06 | 0.337822 | |||||||||
3018.35 | + | 2515.10i | 0.383024 | + | 0.319163i | |||||
5636.84 | 0.712607 | 0.356303 | − | 0.934370i | ||||||
0.356303 | + | 0.934370i | ||||||||
1297.93 | + | 2248.08i | 0.163465 | + | 0.283130i | |||||
626.465 | + | 3517.57i | 0.0786027 | + | 0.441350i | |||||
−873.266 | + | 1512.54i | −0.109158 | + | 0.189068i | |||||
997.797 | − | 1728.24i | 0.124258 | − | 0.215222i | −0.797184 | − | 0.603736i | ||
0.921443 | + | 0.388514i | ||||||||
3106.23 | + | 1124.55i | 0.385385 | + | 0.139521i | |||||
2473.50 | + | 4284.23i | 0.305741 | + | 0.529559i | |||||
−4953.97 | −0.610072 | |||||||||
1725.75 | + | 614.748i | 0.211736 | + | 0.0754249i | |||||
−17054.1 | −2.08468 | |||||||||
336.739 | + | 583.250i | 0.0410112 | + | 0.0710335i | |||||
3163.88 | + | 1145.42i | 0.383910 | + | 0.138987i | |||||
4526.61 | − | 7840.32i | 0.547253 | − | 0.947870i | −0.451208 | − | 0.892419i | ||
0.998461 | − | 0.0554514i | ||||||||
−425.205 | + | 736.476i | −0.0512180 | + | 0.0887121i | |||||
1426.49 | + | 8009.65i | 0.171200 | + | 0.961282i | |||||
−231.292 | − | 400.609i | −0.0276576 | − | 0.0479044i | |||||
1740.92 | 0.207422 | |||||||||
−6466.01 | − | 5387.94i | −0.767602 | − | 0.639621i | |||||
−2052.41 | −0.242769 | |||||||||
−5349.01 | − | 9264.76i | −0.630425 | − | 1.09193i | |||||
3816.59 | − | 3213.67i | 0.448200 | − | 0.377396i | |||||
670.862 | − | 1161.97i | 0.0784999 | − | 0.135966i | |||||
5505.54 | − | 9535.87i | 0.641917 | − | 1.11183i | −0.343087 | − | 0.939303i | ||
0.985004 | − | 0.172529i | ||||||||
−1474.81 | + | 1241.83i | −0.171341 | + | 0.144274i | |||||
−4521.01 | − | 7830.62i | −0.523374 | − | 0.906511i | −0.999630 | − | 0.0272039i | ||
0.476256 | − | 0.879307i | ||||||||
−8810.72 | −1.01635 | |||||||||
−2342.65 | + | 13557.6i | −0.269276 | + | 1.55838i | |||||
5051.61 | 0.578604 | |||||||||
1606.70 | + | 2782.88i | 0.183380 | + | 0.317623i | |||||
−1018.43 | − | 5718.44i | −0.115829 | − | 0.650374i | |||||
−11588.8 | + | 20072.3i | −1.31339 | + | 2.27487i | |||||
2363.89 | − | 4094.38i | 0.266970 | − | 0.462405i | |||||
11493.3 | + | 4160.90i | 1.29347 | + | 0.468275i | |||||
173.242 | + | 300.065i | 0.0194291 | + | 0.0336521i | |||||
1224.90 | 0.136894 | 0.0684471 | − | 0.997655i | ||||||
0.0684471 | + | 0.997655i | ||||||||
−1023.07 | + | 1793.25i | −0.113941 | + | 0.199717i | |||||
2132.79 | 0.236709 | 0.118355 | − | 0.992971i | ||||||
0.118355 | + | 0.992971i | ||||||||
2687.22 | + | 4654.41i | 0.297214 | + | 0.514789i | |||||
−2922.27 | − | 1057.95i | −0.322097 | − | 0.116609i | |||||
1129.09 | − | 1955.64i | 0.124022 | − | 0.214813i | |||||
1495.71 | − | 2590.64i | 0.163729 | − | 0.283586i | |||||
−2206.68 | − | 12390.4i | −0.240728 | − | 1.35168i | |||||
3955.93 | + | 6851.87i | 0.430082 | + | 0.744925i | 0.996880 | − | 0.0789326i | ||
−0.566798 | + | 0.823857i | ||||||||
2143.70 | 0.232266 | |||||||||
−24496.4 | + | 9011.22i | −2.64511 | + | 0.973028i | |||||
3535.62 | 0.380480 | |||||||||
−4198.99 | − | 7272.86i | −0.450338 | − | 0.780009i | 0.548068 | − | 0.836433i | ||
−0.998407 | + | 0.0564245i | ||||||||
306.211 | − | 257.837i | 0.0327300 | − | 0.0275595i | |||||
−149.551 | + | 259.030i | −0.0159312 | + | 0.0275937i | |||||
5115.25 | − | 8859.86i | 0.543080 | − | 0.940643i | |||||
2282.80 | − | 1922.18i | 0.241550 | − | 0.203391i | |||||
−7941.44 | − | 13755.0i | −0.837495 | − | 1.45058i | |||||
13283.5 | 1.39619 | 0.698095 | − | 0.716005i | ||||||
0.698095 | + | 0.716005i | ||||||||
−5954.57 | + | 2190.44i | −0.623780 | + | 0.229463i | |||||
−6096.00 | −0.636474 | |||||||||
598.042 | + | 1035.84i | 0.0622335 | + | 0.107792i | |||||
−1050.94 | − | 5900.98i | −0.109001 | − | 0.612036i | |||||
3103.08 | − | 5374.69i | 0.320781 | − | 0.555609i | |||||
−2999.14 | + | 5194.65i | −0.309015 | + | 0.535229i | |||||
−2220.26 | − | 803.800i | −0.228012 | − | 0.0825469i | |||||
−6674.65 | − | 11560.8i | −0.683210 | − | 1.18335i | −0.973996 | − | 0.226566i | ||
0.290786 | − | 0.956788i | ||||||||
6454.53 | 0.658517 | |||||||||
1916.16 | + | 3279.80i | 0.194856 | + | 0.333525i | |||||
1614.21 | 0.163616 | |||||||||
−6239.00 | − | 10806.3i | −0.630324 | − | 1.09175i | −0.987485 | − | 0.157710i | ||
0.357162 | − | 0.934042i | ||||||||
12486.4 | + | 4520.43i | 1.25740 | + | 0.455215i | |||||
−6101.13 | + | 10567.5i | −0.612406 | + | 1.06072i | 0.378428 | + | 0.925631i | ||
−0.990834 | + | 0.135087i | ||||||||
1751.23 | − | 3033.21i | 0.175213 | − | 0.303477i | |||||
171.729 | + | 964.248i | 0.0171263 | + | 0.0961633i | |||||
−1179.41 | − | 2042.79i | −0.117242 | − | 0.203070i | |||||
7789.97 | 0.771899 | 0.385949 | − | 0.922520i | ||||||
0.385949 | + | 0.922520i | ||||||||
1237.06 | − | 7159.25i | 0.122187 | − | 0.707129i | |||||
−11620.7 | −1.14413 | |||||||||
1267.71 | + | 2195.74i | 0.124415 | + | 0.215494i | |||||
−8212.00 | + | 6914.72i | −0.803374 | + | 0.676462i | |||||
−575.273 | + | 996.402i | −0.0560998 | + | 0.0971677i | |||||
−1241.86 | + | 2150.96i | −0.120720 | + | 0.209093i | |||||
−8305.22 | + | 6993.21i | −0.804792 | + | 0.677656i | |||||
−1127.51 | − | 1952.90i | −0.108913 | − | 0.188642i | |||||
−3997.64 | −0.384940 | |||||||||
4381.07 | + | 3650.62i | 0.420536 | + | 0.350421i | |||||
−4989.13 | −0.477400 | |||||||||
−4699.45 | − | 8139.68i | −0.448274 | − | 0.776433i | 0.550000 | − | 0.835165i | ||
−0.998274 | + | 0.0587316i | ||||||||
−371.368 | − | 2085.21i | −0.0353137 | − | 0.198285i | |||||
622.702 | − | 1078.55i | 0.0590287 | − | 0.102241i | |||||
212.986 | − | 368.902i | 0.0201270 | − | 0.0348610i | |||||
27838.7 | + | 10078.4i | 2.62258 | + | 0.949449i | |||||
−120.165 | − | 208.133i | −0.0112853 | − | 0.0195466i | |||||
2362.28 | 0.221167 | |||||||||
−7025.41 | + | 2625.48i | −0.655719 | + | 0.245050i | |||||
−18953.9 | −1.76362 | −0.881810 | − | 0.471604i | ||||||
−0.881810 | + | 0.471604i | ||||||||
−7658.82 | − | 13265.5i | −0.710448 | − | 1.23053i | |||||
3286.92 | + | 1189.96i | 0.303966 | + | 0.110045i | |||||
−2404.97 | + | 4165.53i | −0.221725 | + | 0.384039i | |||||
−1761.16 | + | 3050.42i | −0.161874 | + | 0.280374i | −0.935541 | − | 0.353219i | ||
0.773667 | + | 0.633592i | ||||||||
635.312 | + | 3567.25i | 0.0582156 | + | 0.326878i | |||||
−3222.03 | − | 5580.73i | −0.294347 | − | 0.509824i | |||||
−2481.13 | −0.225975 | |||||||||
1859.15 | + | 1549.18i | 0.168813 | + | 0.140667i | |||||
−1103.77 | −0.0999205 | |||||||||
10216.1 | + | 17694.7i | 0.922039 | + | 1.59702i | |||||
6427.36 | − | 5412.01i | 0.578347 | − | 0.486984i | |||||
1948.97 | − | 3375.72i | 0.174846 | − | 0.302842i | −0.765262 | − | 0.643719i | ||
0.940108 | + | 0.340877i | ||||||||
1249.21 | − | 2163.70i | 0.111733 | − | 0.193527i | |||||
−15785.2 | + | 13291.6i | −1.40765 | + | 1.18528i | |||||
6842.05 | + | 11850.8i | 0.608318 | + | 1.05364i | |||||
−21465.3 | −1.90276 | −0.951382 | − | 0.308014i | ||||||
−0.951382 | + | 0.308014i | ||||||||
3979.24 | − | 23029.0i | 0.351686 | − | 2.03531i | |||||
−3051.40 | −0.268882 | |||||||||
−5559.08 | − | 9628.60i | −0.488401 | − | 0.845936i | |||||
−1961.58 | − | 11014.2i | −0.171828 | − | 0.964805i | |||||
1158.47 | − | 2006.52i | 0.101178 | − | 0.175246i | |||||
3861.76 | − | 6688.76i | 0.336286 | − | 0.582464i | −0.647445 | − | 0.762112i | ||
0.983731 | + | 0.179648i | ||||||||
658.188 | + | 238.283i | 0.0571471 | + | 0.0206889i | |||||
22135.6 | + | 38339.9i | 1.91628 | + | 3.31910i | |||||
5202.61 | 0.449072 | |||||||||
−1344.67 | − | 2301.61i | −0.115729 | − | 0.198087i | |||||
−602.601 | −0.0517113 | |||||||||
−142.464 | − | 246.756i | −0.0121898 | − | 0.0211133i | |||||
1388.12 | + | 502.539i | 0.118427 | + | 0.0428741i | |||||
−9087.36 | + | 15739.8i | −0.773040 | + | 1.33894i | |||||
676.507 | − | 1171.75i | 0.0573823 | − | 0.0993890i | |||||
556.262 | + | 3123.39i | 0.0470466 | + | 0.264165i | |||||
−1982.08 | − | 3433.06i | −0.167154 | − | 0.289519i | |||||
13201.5 | 1.11011 | 0.555055 | − | 0.831814i | ||||||
0.555055 | + | 0.831814i | ||||||||
11941.1 | − | 4392.66i | 1.00124 | − | 0.368317i | |||||
−4723.73 | −0.394941 | −0.197471 | − | 0.980309i | ||||||
−0.197471 | + | 0.980309i | ||||||||
3175.31 | + | 5499.81i | 0.264722 | + | 0.458512i | |||||
17072.3 | − | 14375.4i | 1.41923 | − | 1.19503i | |||||
−6477.43 | + | 11219.2i | −0.536938 | + | 0.930003i | |||||
−1015.39 | + | 1758.71i | −0.0839303 | + | 0.145372i | |||||
−2086.18 | + | 1756.61i | −0.171949 | + | 0.144786i | |||||
−6310.62 | − | 10930.3i | −0.518667 | − | 0.898358i | |||||
1050.90 | 0.0861283 | |||||||||
−1218.98 | + | 448.413i | −0.0996218 | + | 0.0366468i | |||||
2805.35 | 0.228623 | |||||||||
5636.40 | + | 9762.53i | 0.458048 | + | 0.793363i | |||||
−214.700 | − | 1205.53i | −0.0173989 | − | 0.0976939i | |||||
1456.04 | − | 2521.94i | 0.117664 | − | 0.203800i | |||||
3839.97 | − | 6651.02i | 0.309443 | − | 0.535971i | |||||
15940.5 | + | 5770.92i | 1.28097 | + | 0.463749i | |||||
−1663.35 | − | 2881.01i | −0.133294 | − | 0.230872i | |||||
−34479.1 | −2.75533 | |||||||||
712.788 | − | 1249.39i | 0.0568028 | − | 0.0995649i | |||||
−699.631 | −0.0555998 | −0.0277999 | − | 0.999614i | ||||||
−0.0277999 | + | 0.999614i | ||||||||
−416.912 | − | 722.113i | −0.0330404 | − | 0.0572277i | |||||
−3820.04 | − | 1382.97i | −0.301904 | − | 0.109298i | |||||
2195.82 | − | 3803.27i | 0.173061 | − | 0.299750i | |||||
695.465 | − | 1204.58i | 0.0546614 | − | 0.0946763i | |||||
−4305.66 | − | 24176.1i | −0.337482 | − | 1.89495i | |||||
−8548.87 | − | 14807.1i | −0.668232 | − | 1.15741i | −0.978398 | − | 0.206730i | ||
0.310166 | − | 0.950683i | ||||||||
6387.90 | 0.497952 | |||||||||
2944.28 | − | 17039.4i | 0.228887 | − | 1.32463i | |||||
−8381.18 | −0.649772 | |||||||||
2261.07 | + | 3916.29i | 0.174818 | + | 0.302794i | |||||
−14967.4 | + | 12602.9i | −1.15408 | + | 0.971767i | |||||
19096.3 | − | 33075.7i | 1.46846 | − | 2.54344i | |||||
689.790 | − | 1194.75i | 0.0528996 | − | 0.0916248i | |||||
188.611 | − | 158.815i | 0.0144254 | − | 0.0121465i | |||||
−1958.76 | − | 3392.68i | −0.149407 | − | 0.258780i | |||||
2587.98 | 0.196869 | 0.0984347 | − | 0.995144i | ||||||
0.0984347 | + | 0.995144i | ||||||||
−3080.41 | − | 2566.82i | −0.233700 | − | 0.194735i | |||||
4592.91 | 0.347512 | |||||||||
−669.162 | − | 1159.02i | −0.0504951 | − | 0.0874601i | |||||
879.800 | + | 4940.04i | 0.0662124 | + | 0.371780i | |||||
1912.16 | − | 3311.96i | 0.143522 | − | 0.248588i | |||||
−7421.26 | + | 12854.0i | −0.555540 | + | 0.962223i | 0.442322 | + | 0.896856i | ||
−0.997861 | + | 0.0653663i | ||||||||
10157.6 | + | 3677.36i | 0.758357 | + | 0.274548i | |||||
368.364 | + | 638.026i | 0.0274287 | + | 0.0475079i | |||||
12685.6 | 0.942080 | |||||||||
20093.3 | − | 17096.6i | 1.48825 | − | 1.26629i | |||||
−13503.3 | −0.997507 | |||||||||
2753.27 | + | 4768.81i | 0.202853 | + | 0.351351i | 0.949446 | − | 0.313929i | ||
−0.746594 | + | 0.665280i | ||||||||
−461.885 | − | 167.216i | −0.0339408 | − | 0.0122876i | |||||
−5624.72 | + | 9742.31i | −0.412237 | + | 0.714016i | −0.995134 | − | 0.0985305i | ||
0.582897 | + | 0.812546i | ||||||||
4798.68 | − | 8311.56i | 0.350774 | − | 0.607559i | |||||
−1163.51 | − | 6533.06i | −0.0848279 | − | 0.476305i | |||||
6123.42 | + | 10606.1i | 0.445273 | + | 0.771235i | |||||
−18686.1 | −1.35524 | |||||||||
9103.42 | + | 7585.62i | 0.658523 | + | 0.548728i | |||||
18667.6 | 1.34687 | 0.673435 | − | 0.739247i | ||||||
0.673435 | + | 0.739247i | ||||||||
−4138.00 | − | 7167.23i | −0.297782 | − | 0.515774i | |||||
2468.35 | − | 2078.42i | 0.177170 | − | 0.149182i | |||||
−1220.11 | + | 2113.29i | −0.0873488 | + | 0.151293i | |||||
−14778.5 | + | 25597.1i | −1.05528 | + | 1.82779i | |||||
−7397.76 | + | 6229.11i | −0.526885 | + | 0.443651i | |||||
3766.58 | + | 6523.90i | 0.267574 | + | 0.463452i | |||||
−29258.1 | −2.07313 | |||||||||
761.971 | − | 4409.75i | 0.0538523 | − | 0.311659i | |||||
−6897.49 | −0.486233 | |||||||||
342.110 | + | 592.552i | 0.0240552 | + | 0.0416648i | 0.877802 | − | 0.479023i | ||
−0.853747 | + | 0.520688i | ||||||||
3593.34 | + | 20176.4i | 0.252018 | + | 1.41507i | |||||
712.556 | − | 1234.18i | 0.0498478 | − | 0.0863390i | |||||
−119.675 | + | 207.283i | −0.00835076 | + | 0.0144639i | |||||
−9758.07 | − | 3532.71i | −0.679177 | − | 0.245882i | |||||
138.936 | + | 240.645i | 0.00964569 | + | 0.0167068i | |||||
−13876.6 | −0.960952 | −0.480476 | − | 0.877008i | ||||||
−0.480476 | + | 0.877008i | ||||||||
−9907.17 | + | 50.9734i | −0.684337 | + | 0.00352099i | |||||
−2462.35 | −0.169658 | |||||||||
−1171.59 | − | 2029.25i | −0.0805202 | − | 0.139465i | |||||
6405.72 | + | 2319.06i | 0.439144 | + | 0.158983i | |||||
−10279.9 | + | 17805.3i | −0.702971 | + | 1.21758i | |||||
−11727.7 | + | 20313.0i | −0.799969 | + | 1.38559i | 0.119667 | + | 0.992814i | ||
−0.919636 | + | 0.392773i | ||||||||
2586.21 | + | 14521.4i | 0.175969 | + | 0.988058i | |||||
−9321.09 | − | 16144.6i | −0.632638 | − | 1.09576i | −0.987010 | − | 0.160656i | ||
0.354373 | − | 0.935104i | ||||||||
4989.76 | 0.337820 | |||||||||
8136.73 | − | 2993.17i | 0.549508 | − | 0.202142i | |||||
−4706.19 | −0.317040 | |||||||||
−74.0159 | − | 128.199i | −0.00497384 | − | 0.00861495i | |||||
9555.81 | − | 8046.24i | 0.640558 | − | 0.539367i | |||||
7140.81 | − | 12368.2i | 0.477490 | − | 0.827037i | −0.522177 | − | 0.852837i | ||
0.999667 | + | 0.0258002i | ||||||||
−1540.92 | + | 2668.96i | −0.102784 | + | 0.178027i | |||||
−34236.4 | + | 28828.0i | −2.27805 | + | 1.91818i | |||||
−1593.28 | − | 2759.64i | −0.105754 | − | 0.183171i | |||||
33608.9 | 2.22532 | |||||||||
2799.11 | − | 1029.68i | 0.184881 | − | 0.0680103i | |||||
−16591.5 | −1.09319 | −0.546593 | − | 0.837398i | ||||||
−0.546593 | + | 0.837398i | ||||||||
5143.62 | + | 8909.00i | 0.338077 | + | 0.585567i | |||||
391.321 | + | 2197.25i | 0.0256579 | + | 0.144068i | |||||
15435.8 | − | 26735.6i | 1.00962 | − | 1.74872i | |||||
9516.01 | − | 16482.2i | 0.620908 | − | 1.07544i | −0.368409 | − | 0.929664i | ||
0.989317 | − | 0.145781i | ||||||||
1096.81 | + | 397.078i | 0.0713921 | + | 0.0258460i | |||||
−7267.87 | − | 12588.3i | −0.471923 | − | 0.817395i | 0.527561 | − | 0.849517i | ||
−0.999484 | + | 0.0321223i | ||||||||
769.013 | 0.0498134 | |||||||||
−22088.3 | + | 113.647i | −1.42733 | + | 0.00734378i | |||||
9621.08 | 0.620209 | |||||||||
2153.70 | + | 3730.32i | 0.138501 | + | 0.239891i | |||||
4742.05 | + | 1716.76i | 0.304221 | + | 0.110137i | |||||
−6648.35 | + | 11515.3i | −0.425494 | + | 0.736978i | |||||
7517.21 | − | 13020.2i | 0.479949 | − | 0.831296i | |||||
−617.402 | − | 3466.69i | −0.0393248 | − | 0.220807i | |||||
4214.59 | + | 7299.89i | 0.267803 | + | 0.463849i | |||||
511.250 | 0.0324084 | |||||||||
827.809 | − | 4790.77i | 0.0523503 | − | 0.302967i | |||||
−2527.57 | −0.159463 | −0.0797315 | − | 0.996816i | ||||||
−0.0797315 | + | 0.996816i | ||||||||
12620.4 | + | 21859.2i | 0.794324 | + | 1.37581i | |||||
−17687.7 | + | 14893.5i | −1.11062 | + | 0.935171i | |||||
6934.00 | − | 12010.0i | 0.434360 | − | 0.752334i | |||||
713.558 | − | 1235.92i | 0.0445932 | − | 0.0772377i | |||||
3425.10 | − | 2884.03i | 0.213544 | − | 0.179810i | |||||
31879.6 | + | 55217.1i | 1.98291 | + | 3.43451i | |||||
16807.4 | 1.04296 | |||||||||
−11710.9 | − | 9758.33i | −0.725000 | − | 0.604121i | |||||
−1077.26 | −0.0665351 | |||||||||
2707.40 | + | 4689.36i | 0.166827 | + | 0.288953i | 0.937303 | − | 0.348517i | ||
−0.770476 | + | 0.637469i | ||||||||
2090.34 | + | 11737.2i | 0.128503 | + | 0.721540i | |||||
587.285 | − | 1017.21i | 0.0360191 | − | 0.0623869i | −0.847454 | − | 0.530869i | ||
0.883473 | + | 0.468482i | ||||||||
11623.2 | − | 20132.0i | 0.711210 | − | 1.23185i | |||||
855.012 | + | 309.539i | 0.0521954 | + | 0.0188963i | |||||
−509.264 | − | 882.071i | −0.0310166 | − | 0.0537223i | |||||
9101.51 | 0.553040 | 0.276520 | − | 0.961008i | ||||||
0.276520 | + | 0.961008i | ||||||||
3145.40 | + | 17149.7i | 0.190684 | + | 1.03966i | |||||
−1715.74 | −0.103773 | |||||||||
7749.29 | + | 13422.2i | 0.467618 | + | 0.809939i | |||||
13262.4 | + | 4801.37i | 0.798454 | + | 0.289064i | |||||
1372.36 | − | 2376.99i | 0.0824320 | − | 0.142776i | |||||
2943.59 | − | 5098.44i | 0.176404 | − | 0.305540i | −0.764243 | − | 0.644929i | ||
0.940646 | + | 0.339389i | ||||||||
998.432 | + | 5606.15i | 0.0596969 | + | 0.335195i | |||||
1955.84 | + | 3387.61i | 0.116673 | + | 0.202084i | |||||
−2515.17 | −0.149696 | |||||||||
−25374.4 | − | 21143.8i | −1.50677 | − | 1.25555i | |||||
36512.9 | 2.16325 | |||||||||
−5108.58 | − | 8848.32i | −0.301976 | − | 0.523037i | 0.674608 | − | 0.738176i | ||
−0.976583 | + | 0.215139i | ||||||||
1453.48 | − | 1223.86i | 0.0857219 | − | 0.0721801i | |||||
3050.88 | − | 5284.28i | 0.179524 | − | 0.310945i | −0.762193 | − | 0.647349i | ||
0.941718 | + | 0.336404i | ||||||||
2768.95 | − | 4795.96i | 0.162565 | − | 0.281572i | |||||
7097.82 | − | 5976.55i | 0.415772 | − | 0.350091i | |||||
−9766.86 | − | 16916.7i | −0.570825 | − | 0.988698i | |||||
1727.96 | 0.100763 | |||||||||
−171.876 | + | 994.695i | −0.0100001 | + | 0.0578733i | |||||
37472.6 | 2.17533 | |||||||||
8101.33 | + | 14031.9i | 0.469237 | + | 0.812742i | |||||
−4707.62 | − | 26433.1i | −0.272058 | − | 1.52760i | |||||
798.836 | − | 1383.62i | 0.0460623 | − | 0.0797822i | |||||
11421.1 | − | 19782.0i | 0.657090 | − | 1.13811i | |||||
−28680.3 | − | 10383.1i | −1.64638 | − | 0.596037i | |||||
−1582.16 | − | 2740.38i | −0.0906208 | − | 0.156960i | 0.817152 | − | 0.576423i | ||
−0.907773 | + | 0.419463i | ||||||||
−13784.6 | −0.787777 | |||||||||
−8251.21 | + | 14462.9i | −0.470502 | + | 0.824704i | |||||
−8784.08 | −0.499777 | |||||||||
14849.2 | + | 25719.6i | 0.842987 | + | 1.46010i | 0.887358 | + | 0.461082i | ||
−0.0443701 | + | 0.999015i | ||||||||
−2835.98 | − | 1026.71i | −0.160642 | − | 0.0581571i | |||||
17009.8 | − | 29461.8i | 0.961376 | − | 1.66515i | |||||
813.662 | − | 1409.30i | 0.0458860 | − | 0.0794769i | |||||
−2855.80 | − | 16035.2i | −0.160697 | − | 0.902304i | |||||
−2648.35 | − | 4587.08i | −0.148696 | − | 0.257549i | |||||
2998.31 | 0.167976 | 0.0839878 | − | 0.996467i | ||||||
0.0839878 | + | 0.996467i | ||||||||
−1964.28 | + | 722.581i | −0.109805 | + | 0.0403926i | |||||
3934.63 | 0.219467 | |||||||||
22345.6 | + | 38703.7i | 1.24367 | + | 2.15410i | |||||
12957.6 | − | 10910.6i | 0.719597 | − | 0.605920i | |||||
−512.381 | + | 887.471i | −0.0283930 | + | 0.0491781i | |||||
6965.20 | − | 12064.1i | 0.385128 | − | 0.667061i | |||||
−3113.69 | + | 2621.81i | −0.171791 | + | 0.144653i | |||||
6508.85 | + | 11273.7i | 0.358333 | + | 0.620651i | 0.987683 | − | 0.156471i | ||
−0.629349 | + | 0.777123i | ||||||||
2490.98 | 0.136839 | |||||||||
32707.8 | − | 12031.9i | 1.79288 | − | 0.659529i | |||||
3735.17 | 0.204301 | |||||||||
−1206.50 | − | 2089.72i | −0.0658492 | − | 0.114054i | |||||
−5186.31 | − | 29120.9i | −0.282452 | − | 1.58596i | |||||
−2313.80 | + | 4007.61i | −0.125741 | + | 0.217789i | |||||
9599.27 | − | 16626.4i | 0.520541 | − | 0.901604i | |||||
−5820.78 | − | 2107.29i | −0.314967 | − | 0.114027i | |||||
−8761.92 | − | 15176.1i | −0.473099 | − | 0.819432i | |||||
−28770.9 | −1.55016 | −0.775080 | − | 0.631863i | ||||||
−0.775080 | + | 0.631863i | ||||||||
9241.86 | + | 15818.9i | 0.496883 | + | 0.850490i | |||||
−358.772 | −0.0192480 | |||||||||
7826.56 | + | 13556.0i | 0.418998 | + | 0.725726i | |||||
6256.60 | + | 2265.07i | 0.334237 | + | 0.121004i | |||||
5730.70 | − | 9925.87i | 0.305493 | − | 0.529129i | |||||
−21971.8 | + | 38056.2i | −1.16879 | + | 2.02440i | |||||
178.810 | + | 1004.01i | 0.00949168 | + | 0.0532953i | |||||
7729.78 | + | 13388.4i | 0.409447 | + | 0.709183i | 0.994828 | − | 0.101575i | ||
−0.585381 | + | 0.810759i | ||||||||
−2809.11 | −0.148484 | |||||||||
−4851.67 | + | 28078.0i | −0.255910 | + | 1.48102i | |||||
−2846.69 | −0.149837 | |||||||||
−5904.57 | − | 10227.0i | −0.310137 | − | 0.537174i | |||||
7711.11 | − | 6492.96i | 0.404175 | − | 0.340326i | |||||
2955.75 | − | 5119.51i | 0.154600 | − | 0.267775i | |||||
6655.48 | − | 11527.6i | 0.347384 | − | 0.601687i | |||||
−10015.8 | + | 8433.54i | −0.521681 | + | 0.439270i | |||||
11085.0 | + | 19199.7i | 0.576166 | + | 0.997949i | |||||
−7691.51 | −0.398950 | −0.199475 | − | 0.979903i | ||||||
−0.199475 | + | 0.979903i | ||||||||
767.073 | + | 639.180i | 0.0397044 | + | 0.0330845i | |||||
−4103.29 | −0.211948 | |||||||||
357.378 | + | 618.996i | 0.0184214 | + | 0.0319067i | |||||
−196.013 | − | 1100.60i | −0.0100827 | − | 0.0566140i | |||||
−1594.95 | + | 2762.53i | −0.0818726 | + | 0.141807i | |||||
14123.9 | − | 24463.4i | 0.723518 | − | 1.25317i | |||||
569.838 | + | 206.298i | 0.0291304 | + | 0.0105461i | |||||
−1915.06 | − | 3316.97i | −0.0976967 | − | 0.169216i | 0.813034 | − | 0.582216i | ||
−0.910731 | + | 0.413000i | ||||||||
−57088.2 | −2.90636 | |||||||||
−9665.58 | + | 17146.3i | −0.491062 | + | 0.871125i | |||||
−6086.61 | −0.308596 | |||||||||
942.716 | + | 1632.83i | 0.0476985 | + | 0.0826163i | |||||
−12766.3 | − | 4621.76i | −0.644610 | − | 0.233368i | |||||
−2328.91 | + | 4033.79i | −0.117354 | + | 0.203262i | −0.918718 | − | 0.394914i | ||
0.801365 | + | 0.598176i | ||||||||
−1573.81 | + | 2725.91i | −0.0791420 | + | 0.137078i | |||||
2213.32 | + | 12427.7i | 0.111074 | + | 0.623676i | |||||
12768.8 | + | 22116.2i | 0.639490 | + | 1.10763i | |||||
11452.6 | 0.572405 | |||||||||
−7019.39 | − | 5849.06i | −0.350118 | − | 0.291744i | |||||
37264.5 | 1.85493 | 0.927466 | − | 0.373907i | ||||||
0.927466 | + | 0.373907i | ||||||||
−96.7994 | − | 167.661i | −0.00480867 | − | 0.00832886i | |||||
−4980.92 | + | 4194.07i | −0.246935 | + | 0.207926i | |||||
7567.03 | − | 13106.5i | 0.374386 | − | 0.648456i | |||||
−11479.4 | + | 19882.9i | −0.566808 | + | 0.981741i | 0.430071 | + | 0.902795i | ||
−0.996879 | + | 0.0789455i | ||||||||
−7130.46 | + | 6004.04i | −0.351365 | + | 0.295859i | |||||
−721.639 | − | 1249.92i | −0.0354883 | − | 0.0614676i | |||||
−3642.79 | −0.178783 | |||||||||
3754.68 | − | 21729.4i | 0.183904 | − | 1.06431i | |||||
3939.81 | 0.192585 | |||||||||
−20968.6 | − | 36318.7i | −1.02293 | − | 1.77177i | |||||
1104.65 | + | 6202.58i | 0.0537817 | + | 0.301982i | |||||
−3623.63 | + | 6276.31i | −0.176069 | + | 0.304961i | −0.940531 | − | 0.339708i | ||
0.764462 | + | 0.644669i | ||||||||
−3749.38 | + | 6494.12i | −0.181816 | + | 0.314915i | |||||
33767.9 | + | 12225.0i | 1.63423 | + | 0.591637i | |||||
−15540.2 | − | 26916.5i | −0.750586 | − | 1.30005i | |||||
−2898.78 | −0.139732 | |||||||||
−10449.5 | − | 17886.0i | −0.502706 | − | 0.860458i | |||||
11767.6 | 0.564996 | 0.282498 | − | 0.959268i | ||||||
0.282498 | + | 0.959268i | ||||||||
−7247.31 | − | 12552.7i | −0.347275 | − | 0.601497i | |||||
−27436.0 | − | 9932.63i | −1.31207 | − | 0.475009i | |||||
−570.990 | + | 988.983i | −0.0272526 | + | 0.0472029i | |||||
−2919.39 | + | 5056.52i | −0.139064 | + | 0.240866i | −0.927143 | − | 0.374709i | ||
0.788079 | + | 0.615575i | ||||||||
1024.41 | + | 5752.00i | 0.0487013 | + | 0.273455i | |||||
−10015.5 | − | 17347.3i | −0.475208 | − | 0.823085i | |||||
−5210.29 | −0.246730 | |||||||||
1724.11 | − | 634.231i | 0.0814842 | − | 0.0299748i | |||||
2739.90 | 0.129238 | |||||||||
1586.38 | + | 2747.69i | 0.0746818 | + | 0.129353i | |||||
17328.9 | − | 14591.4i | 0.814198 | − | 0.685576i | |||||
3340.04 | − | 5785.11i | 0.156625 | − | 0.271283i | −0.777024 | − | 0.629471i | ||
0.933650 | + | 0.358188i | ||||||||
3211.14 | − | 5561.86i | 0.150288 | − | 0.260306i | |||||
−1209.73 | + | 1018.63i | −0.0565077 | + | 0.0475810i | |||||
−1266.82 | − | 2194.19i | −0.0590593 | − | 0.102294i | |||||
19676.9 | 0.915560 | 0.457780 | − | 0.889065i | ||||||
0.457780 | + | 0.889065i | ||||||||
−3493.79 | + | 1285.22i | −0.162250 | + | 0.0596853i | |||||
−8902.06 | −0.412609 | |||||||||
11241.5 | + | 19470.8i | 0.520032 | + | 0.900722i | |||||
−622.597 | − | 3495.86i | −0.0287459 | − | 0.161407i | |||||
−889.551 | + | 1540.75i | −0.0409922 | + | 0.0710006i | |||||
1623.71 | − | 2812.35i | 0.0746798 | − | 0.129349i | |||||
−3303.87 | − | 1196.10i | −0.151663 | − | 0.0549066i | |||||
−10068.3 | − | 17438.8i | −0.461295 | − | 0.798986i | |||||
−8440.00 | −0.385951 | |||||||||
16546.8 | − | 29003.4i | 0.755215 | − | 1.32375i | |||||
−14225.9 | −0.648044 | |||||||||
2595.98 | + | 4496.37i | 0.118031 | + | 0.204436i | |||||
−15057.7 | − | 5451.33i | −0.683321 | − | 0.247382i | |||||
−12842.8 | + | 22244.3i | −0.581697 | + | 1.00753i | 0.413582 | + | 0.910467i | ||
−0.995278 | + | 0.0970611i | ||||||||
−4074.20 | + | 7056.72i | −0.184184 | + | 0.319017i | |||||
5961.25 | + | 33472.1i | 0.268981 | + | 1.51032i | |||||
2625.45 | + | 4547.41i | 0.118240 | + | 0.204797i | |||||
10609.7 | 0.476912 | |||||||||
−3921.68 | + | 22695.9i | −0.175948 | + | 1.01826i | |||||
−42240.1 | −1.89154 | |||||||||
5580.28 | + | 9665.33i | 0.249417 | + | 0.432002i | |||||
2109.69 | − | 1776.42i | 0.0941171 | − | 0.0792491i | |||||
2674.52 | − | 4632.41i | 0.119090 | − | 0.206271i | |||||
8628.46 | − | 14944.9i | 0.383483 | − | 0.664211i | −0.608075 | − | 0.793880i | ||
0.991557 | + | 0.129668i | ||||||||
−5411.30 | + | 4556.46i | −0.240047 | + | 0.202126i | |||||
6898.39 | + | 11948.4i | 0.305441 | + | 0.529039i | |||||
19251.0 | 0.850781 | |||||||||
−2468.83 | − | 2057.20i | −0.108904 | − | 0.0907462i | |||||
3951.14 | 0.173965 | |||||||||
−21815.4 | − | 37785.3i | −0.958714 | − | 1.66054i | |||||
−1193.57 | − | 6701.82i | −0.0523555 | − | 0.293974i | |||||
7159.34 | − | 12400.3i | 0.313458 | − | 0.542925i | |||||
−4897.36 | + | 8482.47i | −0.214022 | + | 0.370698i | |||||
−8209.21 | − | 2971.97i | −0.358089 | − | 0.129639i | |||||
−14520.8 | − | 25150.7i | −0.632227 | − | 1.09505i | |||||
854.593 | 0.0371395 | 0.0185698 | − | 0.999828i | ||||||
0.0185698 | + | 0.999828i | ||||||||
654.344 | + | 3567.68i | 0.0283843 | + | 0.154760i | |||||
14057.1 | 0.608646 | 0.304323 | − | 0.952569i | ||||||
0.304323 | + | 0.952569i | ||||||||
17570.9 | + | 30433.8i | 0.759383 | + | 1.31529i | |||||
−2057.61 | − | 744.913i | −0.0887618 | − | 0.0321344i | |||||
−666.721 | + | 1154.79i | −0.0287083 | + | 0.0497242i | |||||
845.304 | − | 1464.11i | 0.0363309 | − | 0.0629270i | |||||
362.999 | + | 2038.22i | 0.0155729 | + | 0.0874413i | |||||
−661.554 | − | 1145.85i | −0.0283291 | − | 0.0490674i | |||||
17924.8 | 0.766167 | |||||||||
−49510.5 | − | 41255.7i | −2.11238 | − | 1.76018i | |||||
1752.36 | 0.0746282 | |||||||||
−8271.65 | − | 14326.9i | −0.351623 | − | 0.609029i | 0.634911 | − | 0.772585i | ||
−0.986534 | + | 0.163556i | ||||||||
−12321.7 | + | 10375.2i | −0.522835 | + | 0.440241i | |||||
−20164.9 | + | 34926.7i | −0.854078 | + | 1.47931i | 0.0234206 | + | 0.999726i | ||
−0.877498 | + | 0.479580i | ||||||||
1355.90 | − | 2348.48i | 0.0573239 | − | 0.0992880i | |||||
−16825.4 | + | 14167.4i | −0.710041 | + | 0.597874i | |||||
1723.45 | + | 2985.11i | 0.0725988 | + | 0.125745i | |||||
−33819.0 | −1.42201 | −0.711005 | − | 0.703187i | ||||||
−0.711005 | + | 0.703187i | ||||||||
−2953.04 | + | 17090.1i | −0.123943 | + | 0.717297i | |||||
−16608.2 | −0.695812 | −0.347906 | − | 0.937529i | ||||||
−0.347906 | + | 0.937529i | ||||||||
−2031.82 | − | 3519.21i | −0.0849704 | − | 0.147173i | |||||
−634.822 | − | 3564.50i | −0.0265003 | − | 0.148798i | |||||
14473.0 | − | 25067.9i | 0.603077 | − | 1.04456i | |||||
−13086.9 | + | 22667.1i | −0.544338 | + | 0.942821i | |||||
9288.68 | + | 3362.78i | 0.385660 | + | 0.139620i | |||||
4990.02 | + | 8642.97i | 0.206811 | + | 0.358206i | |||||
−2764.77 | −0.114380 | |||||||||
−10522.9 | + | 54.1414i | −0.434557 | + | 0.00223584i | |||||
21801.2 | 0.898699 | |||||||||
−2260.32 | − | 3914.98i | −0.0930093 | − | 0.161097i | 0.815767 | − | 0.578381i | ||
−0.908776 | + | 0.417284i | ||||||||
−10627.5 | − | 3847.46i | −0.436527 | − | 0.158036i | |||||
−16129.3 | + | 27936.8i | −0.661336 | + | 1.14547i | |||||
8951.29 | − | 15504.1i | 0.366368 | − | 0.634568i | |||||
−1759.78 | − | 9881.10i | −0.0718982 | − | 0.403705i | |||||
9077.73 | + | 15723.1i | 0.370223 | + | 0.641245i | |||||
−5410.56 | −0.220271 | |||||||||
−25566.0 | + | 9404.70i | −1.03898 | + | 0.382199i | |||||
−2131.82 | −0.0864820 | |||||||||
1554.06 | + | 2691.72i | 0.0629325 | + | 0.109002i | |||||
25466.6 | − | 21443.6i | 1.02946 | − | 0.866834i | |||||
−3181.15 | + | 5509.92i | −0.128368 | + | 0.222340i | |||||
−1486.47 | + | 2574.65i | −0.0598774 | + | 0.103711i | |||||
−9155.49 | + | 7709.17i | −0.368148 | + | 0.309990i | |||||
−1911.61 | − | 3311.00i | −0.0767318 | − | 0.132903i | 0.825106 | − | 0.564978i | ||
−0.901838 | + | 0.432074i | ||||||||
−45889.9 | −1.83878 | |||||||||
−1209.90 | + | 445.074i | −0.0483951 | + | 0.0178026i | |||||
27715.6 | 1.10666 | |||||||||
10107.2 | + | 17506.2i | 0.402865 | + | 0.697783i | 0.994070 | − | 0.108738i | ||
−0.591205 | + | 0.806521i | ||||||||
4243.37 | + | 23826.3i | 0.168842 | + | 0.948039i | |||||
9675.51 | − | 16758.5i | 0.384312 | − | 0.665648i | −0.607361 | − | 0.794426i | ||
0.991674 | + | 0.128777i | ||||||||
356.985 | − | 618.316i | 0.0141548 | − | 0.0245168i | |||||
30221.2 | + | 10941.0i | 1.19621 | + | 0.433062i | |||||
1212.61 | + | 2100.30i | 0.0479138 | + | 0.0829891i | |||||
27462.6 | 1.08324 | 0.541620 | − | 0.840623i | ||||||
0.541620 | + | 0.840623i | ||||||||
22756.1 | − | 117.082i | 0.896038 | − | 0.00461021i | |||||
1534.32 | 0.0603104 | |||||||||
2111.39 | + | 3657.03i | 0.0828497 | + | 0.143500i | |||||
−20422.5 | − | 7393.53i | −0.799981 | − | 0.289616i | |||||
5537.32 | − | 9590.92i | 0.216531 | − | 0.375043i | |||||
−18820.0 | + | 32597.3i | −0.734668 | + | 1.27248i | |||||
−1078.92 | − | 6058.07i | −0.0420445 | − | 0.236078i | |||||
−10589.2 | − | 18341.0i | −0.411940 | − | 0.713501i | |||||
13238.1 | 0.514104 | |||||||||
−4321.56 | + | 25010.1i | −0.167540 | + | 0.969603i | |||||
5922.80 | 0.229224 | |||||||||
−11081.0 | − | 19192.8i | −0.428121 | − | 0.741527i | |||||
−19837.6 | + | 16703.8i | −0.765126 | + | 0.644256i | |||||
−5196.63 | + | 9000.84i | −0.200089 | + | 0.346564i | −0.948557 | − | 0.316607i | ||
0.748468 | + | 0.663171i | ||||||||
−7832.47 | + | 13566.2i | −0.301063 | + | 0.521456i | |||||
−13846.8 | + | 11659.4i | −0.531334 | + | 0.447397i | |||||
659.482 | + | 1142.26i | 0.0252627 | + | 0.0437562i | |||||
37813.2 | 1.44604 | 0.723018 | − | 0.690829i | ||||||
0.723018 | + | 0.690829i | ||||||||
−39701.8 | − | 33082.4i | −1.51568 | − | 1.26297i | |||||
−19334.7 | −0.736881 | −0.368440 | − | 0.929651i | ||||||
−0.368440 | + | 0.929651i | ||||||||
−3642.77 | − | 6309.46i | −0.138597 | − | 0.240057i | |||||
110.138 | + | 618.422i | 0.00418335 | + | 0.0234893i | |||||
8313.71 | − | 14399.8i | 0.315242 | − | 0.546015i | |||||
2792.24 | − | 4836.31i | 0.105698 | − | 0.183075i | −0.808325 | − | 0.588736i | ||
0.914023 | + | 0.405662i | ||||||||
2206.56 | + | 798.838i | 0.0833865 | + | 0.0301883i | |||||
−10276.0 | − | 17798.6i | −0.387679 | − | 0.671480i | |||||
−592.202 | −0.0223041 | |||||||||
−19802.7 | + | 16849.2i | −0.744573 | + | 0.633525i | |||||
−21081.1 | −0.791307 | |||||||||
−4840.96 | − | 8384.80i | −0.181407 | − | 0.314207i | |||||
5555.80 | + | 2011.36i | 0.207845 | + | 0.0752461i | |||||
4099.45 | − | 7100.45i | 0.153105 | − | 0.265186i | |||||
−7756.87 | + | 13435.3i | −0.289218 | + | 0.500940i | |||||
9460.72 | + | 53121.5i | 0.352156 | + | 1.97734i | |||||
13150.3 | + | 22776.9i | 0.488675 | + | 0.846409i | |||||
17852.0 | 0.662288 | |||||||||
10044.0 | + | 8369.34i | 0.371998 | + | 0.309976i | |||||
5718.56 | 0.211446 | |||||||||
−6034.84 | − | 10452.6i | −0.222770 | − | 0.385848i | |||||
10017.0 | − | 8434.61i | 0.369154 | − | 0.310838i | |||||
−3505.89 | + | 6072.38i | −0.128987 | + | 0.223412i | |||||
−982.408 | + | 1701.58i | −0.0360844 | + | 0.0625000i | |||||
9077.85 | − | 7643.79i | 0.332882 | − | 0.280296i | |||||
14585.2 | + | 25262.3i | 0.533951 | + | 0.924831i | 0.999213 | + | 0.0396577i | ||
−0.465262 | + | 0.885173i | ||||||||
−12788.5 | −0.467401 | |||||||||
5582.22 | − | 32305.9i | 0.203686 | − | 1.17879i | |||||
−11876.2 | −0.432628 | |||||||||
25412.2 | + | 44015.2i | 0.924198 | + | 1.60076i | 0.792847 | + | 0.609421i | ||
0.131351 | + | 0.991336i | ||||||||
−254.736 | − | 1430.33i | −0.00924907 | − | 0.0519331i | |||||
14564.7 | − | 25226.8i | 0.527954 | − | 0.914443i | |||||
13215.4 | − | 22889.7i | 0.478255 | − | 0.828362i | |||||
−7863.38 | − | 2846.77i | −0.284104 | − | 0.102854i | |||||
−6650.14 | − | 11518.4i | −0.239876 | − | 0.415478i | |||||
56332.4 | 2.02864 | |||||||||
−3726.85 | + | 6532.48i | −0.133992 | + | 0.234863i | |||||
23089.0 | 0.828768 | 0.414384 | − | 0.910102i | ||||||
0.414384 | + | 0.910102i | ||||||||
4731.49 | + | 8195.17i | 0.169557 | + | 0.293681i | |||||
25385.5 | + | 9190.30i | 0.908232 | + | 0.328807i | |||||
12352.8 | − | 21395.7i | 0.441234 | − | 0.764239i | |||||
−18618.4 | + | 32248.0i | −0.663956 | + | 1.15001i | |||||
−4797.87 | − | 26939.8i | −0.170821 | − | 0.959151i | |||||
1120.55 | + | 1940.84i | 0.0398306 | + | 0.0689887i | |||||
−24159.7 | −0.857382 | |||||||||
2873.09 | − | 1056.89i | 0.101796 | − | 0.0374465i | |||||
−38605.4 | −1.36561 | |||||||||
3259.82 | + | 5646.17i | 0.115125 | + | 0.199403i | 0.917830 | − | 0.396974i | ||
−0.802705 | + | 0.596377i | ||||||||
−1483.36 | + | 1249.03i | −0.0523026 | + | 0.0440402i | |||||
9183.76 | − | 15906.7i | 0.323293 | − | 0.559959i | |||||
−2430.30 | + | 4209.40i | −0.0854153 | + | 0.147944i | |||||
19314.5 | − | 16263.3i | 0.677737 | − | 0.570672i | |||||
7711.80 | + | 13357.2i | 0.270169 | + | 0.467947i | |||||
2426.73 | 0.0848796 | |||||||||
39972.7 | − | 14704.3i | 1.39588 | − | 0.513489i | |||||
−15579.4 | −0.543178 | −0.271589 | − | 0.962413i | ||||||
−0.271589 | + | 0.962413i | ||||||||
−11504.1 | − | 19925.7i | −0.400451 | − | 0.693601i | |||||
−6918.18 | − | 38845.2i | −0.240433 | − | 1.35002i | |||||
2612.26 | − | 4524.57i | 0.0906410 | − | 0.156995i | |||||
8944.32 | − | 15492.0i | 0.309858 | − | 0.536690i | −0.668473 | − | 0.743736i | ||
0.978331 | + | 0.207046i | ||||||||
−19986.1 | − | 7235.55i | −0.691276 | − | 0.250262i | |||||
−13454.8 | − | 23304.5i | −0.464634 | − | 0.804770i | |||||
−707.902 | −0.0244070 | |||||||||
−6436.40 | − | 11016.9i | −0.221562 | − | 0.379237i | |||||
−4917.58 | −0.169011 | |||||||||
1193.79 | + | 2067.70i | 0.0409640 | + | 0.0709518i | 0.885780 | − | 0.464104i | ||
−0.844816 | + | 0.535056i | ||||||||
21036.6 | + | 7615.86i | 0.720714 | + | 0.260919i | |||||
−40341.2 | + | 69873.0i | −1.37991 | + | 2.39007i | |||||
2232.39 | − | 3866.60i | 0.0762402 | − | 0.132052i | |||||
−6381.44 | − | 35831.5i | −0.217594 | − | 1.22178i | |||||
−11717.6 | − | 20295.5i | −0.398918 | − | 0.690947i | |||||
−50911.1 | −1.73050 | −0.865252 | − | 0.501337i | ||||||
−0.865252 | + | 0.501337i | ||||||||
−1922.51 | + | 11126.1i | −0.0652447 | + | 0.377590i | |||||
−3209.28 | −0.108743 | |||||||||
5140.32 | + | 8903.30i | 0.173902 | + | 0.301207i | |||||
33741.2 | − | 28411.0i | 1.13970 | − | 0.959661i | |||||
9304.58 | − | 16116.0i | 0.313797 | − | 0.543512i | |||||
28331.5 | − | 49071.6i | 0.953986 | − | 1.65235i | |||||
4383.72 | − | 3691.21i | 0.147379 | − | 0.124097i | |||||
12082.6 | + | 20927.6i | 0.405577 | + | 0.702481i | |||||
2465.82 | 0.0826415 | |||||||||
24036.7 | + | 20029.1i | 0.804332 | + | 0.670227i | |||||
−877.761 | −0.0293265 | |||||||||
−780.297 | − | 1351.51i | −0.0260297 | − | 0.0450847i | |||||
10278.2 | + | 57711.5i | 0.342334 | + | 1.92219i | |||||
2938.71 | − | 5090.00i | 0.0977277 | − | 0.169269i | −0.813016 | − | 0.582241i | ||
0.910744 | + | 0.412972i | ||||||||
704.443 | − | 1220.13i | 0.0233901 | − | 0.0405129i | |||||
−2513.40 | − | 909.923i | −0.0833250 | − | 0.0301661i | |||||
2338.58 | + | 4050.54i | 0.0774096 | + | 0.134077i | |||||
−29273.1 | −0.967476 | −0.483738 | − | 0.875213i | ||||||
−0.483738 | + | 0.875213i | ||||||||
11923.6 | + | 9832.09i | 0.393467 | + | 0.324449i | |||||
−34749.9 | −1.14494 | |||||||||
−18763.7 | − | 32499.7i | −0.617277 | − | 1.06916i | |||||
38245.4 | + | 13846.0i | 1.25624 | + | 0.454796i | |||||
4712.28 | − | 8161.90i | 0.154545 | − | 0.267680i | |||||
−20833.8 | + | 36085.1i | −0.682222 | + | 1.18164i | 0.292079 | + | 0.956394i | ||
−0.974301 | + | 0.225249i | ||||||||
1213.55 | + | 6814.01i | 0.0396778 | + | 0.222789i | |||||
−2122.55 | − | 3676.36i | −0.0692920 | − | 0.120017i | |||||
9911.40 | 0.323070 | |||||||||
11480.9 | + | 9566.72i | 0.373657 | + | 0.311358i | |||||
−6973.95 | −0.226627 | |||||||||
24668.1 | + | 42726.4i | 0.800396 | + | 1.38633i | 0.919356 | + | 0.393428i | ||
−0.118959 | + | 0.992899i | ||||||||
−16248.3 | + | 13681.5i | −0.526399 | + | 0.443242i | |||||
−2509.50 | + | 4346.59i | −0.0811771 | + | 0.140603i | |||||
6379.41 | − | 11049.5i | 0.206046 | − | 0.356883i | |||||
73300.3 | − | 61720.8i | 2.36391 | − | 1.99047i | |||||
2556.32 | + | 4427.68i | 0.0823153 | + | 0.142574i | |||||
−10963.9 | −0.352509 | |||||||||
−815.834 | + | 4721.47i | −0.0261908 | + | 0.151574i | |||||
−60404.6 | −1.93624 | −0.968121 | − | 0.250485i | ||||||
−0.968121 | + | 0.250485i | ||||||||
6083.07 | + | 10536.2i | 0.194695 | + | 0.337222i | |||||
−2548.30 | − | 14308.6i | −0.0814378 | − | 0.457270i | |||||
−20227.1 | + | 35034.4i | −0.645438 | + | 1.11793i | |||||
1647.37 | − | 2853.33i | 0.0524877 | − | 0.0909114i | |||||
−16280.1 | − | 5893.87i | −0.517926 | − | 0.187504i | |||||
28168.3 | + | 48788.9i | 0.894783 | + | 1.54981i | 0.834073 | + | 0.551655i | ||
0.0607108 | + | 0.998155i | ||||||||
7717.67 | 0.244788 | |||||||||
1336.37 | + | 2287.40i | 0.0423233 | + | 0.0724427i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 171.4.e.a.58.19 | ✓ | 54 | |
9.4 | even | 3 | 1539.4.a.h.1.9 | 27 | |||
9.5 | odd | 6 | 1539.4.a.g.1.19 | 27 | |||
9.7 | even | 3 | inner | 171.4.e.a.115.19 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.4.e.a.58.19 | ✓ | 54 | 1.1 | even | 1 | trivial | |
171.4.e.a.115.19 | yes | 54 | 9.7 | even | 3 | inner | |
1539.4.a.g.1.19 | 27 | 9.5 | odd | 6 | |||
1539.4.a.h.1.9 | 27 | 9.4 | even | 3 |