Properties

Label 92.2.h.a.15.7
Level 9292
Weight 22
Character 92.15
Analytic conductor 0.7350.735
Analytic rank 00
Dimension 100100
Inner twists 44

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [92,2,Mod(7,92)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(92, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 19]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("92.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: N N == 92=2223 92 = 2^{2} \cdot 23
Weight: k k == 2 2
Character orbit: [χ][\chi] == 92.h (of order 2222, degree 1010, 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: 0.7346236985960.734623698596
Analytic rank: 00
Dimension: 100100
Relative dimension: 1010 over Q(ζ22)\Q(\zeta_{22})
Twist minimal: yes
Sato-Tate group: SU(2)[C22]\mathrm{SU}(2)[C_{22}]

Embedding invariants

Embedding label 15.7
Character χ\chi == 92.15
Dual form 92.2.h.a.43.7

qq-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
f(q)f(q) == q+(0.936105+1.06005i)q2+(0.3409700.155716i)q3+(0.247417+1.98464i)q4+(1.656101.43502i)q5+(0.484250+0.215679i)q6+(3.140772.01845i)q7+(2.33542+1.59555i)q8+(1.87257+2.16106i)q9+(3.07148+0.412224i)q10+(0.162776+1.13213i)q11+(0.224677+0.715227i)q12+(2.719511.74772i)q13+(0.8004295.21886i)q14+(0.3412260.747180i)q15+(3.877570.982065i)q16+(1.035333.52600i)q17+(4.04375+0.0379590i)q18+(1.689790.496168i)q19+(2.43825+3.64182i)q20+(1.385210.199163i)q21+(1.04775+1.23235i)q22+(4.468331.74184i)q23+(0.547856+0.907697i)q24+(0.0281822+0.196011i)q25+(4.39842+1.24677i)q26+(0.618795+2.10742i)q27+(4.782975.73390i)q28+(8.53724+2.50676i)q29+(1.111470.337722i)q30+(9.07531+4.14456i)q31+(2.588775.02974i)q32+(0.231793+0.360677i)q33+(2.768564.39820i)q34+(8.09797+1.16431i)q35+(3.825624.25105i)q36+(4.67281+4.04902i)q37+(1.055862.25573i)q38+(0.6551221.01939i)q39+(1.57805+5.99379i)q40+(0.8003880.923697i)q41+(1.085581.65483i)q42+(1.14894+2.51582i)q43+(2.28715+0.0429431i)q44+6.26612iq45+(6.02927+3.10611i)q46+2.26417iq47+(1.47506+0.268944i)q48+(2.88240+6.31158i)q49+(0.234163+0.153613i)q50+(0.9020671.04104i)q51+(2.79574+5.82966i)q52+(0.4019050.625377i)q53+(2.81323+1.31681i)q54+(1.89421+1.64135i)q55+(10.55560.297328i)q56+(0.653429+0.0939489i)q57+(10.64906.70332i)q58+(5.022997.81592i)q59+(1.39846+0.862074i)q60+(3.259791.48870i)q61+(4.10200+13.5000i)q62+(10.24333.00771i)q63+(2.908427.45259i)q64+(1.995776.79697i)q65+(0.165353+0.583343i)q66+(1.45310+10.1065i)q67+(7.253981.18236i)q68+(1.252331.28970i)q69+(8.814787.49435i)q70+(9.065451.30341i)q71+(0.9251578.03478i)q72+(4.26223+1.25150i)q73+(0.0820780+8.74372i)q74+(0.0209128+0.0712223i)q75+(1.402803.23086i)q76+(1.773923.88434i)q77+(1.693870.259793i)q78+(13.68108.79222i)q79+(7.83095+3.93800i)q80+(1.103687.67624i)q81+(0.2299191.71313i)q82+(3.52806+4.07160i)q83+(0.7379922.69987i)q84+(6.774494.35370i)q85+(1.59138+3.57301i)q86+(2.52060+2.18411i)q87+(2.186532.38430i)q88+(5.59347+2.55445i)q89+(6.64241+5.86574i)q9012.0691q91+(2.35139+9.29898i)q92+3.73978q93+(2.40013+2.11950i)q94+(3.51049+1.60318i)q95+(1.665901.31188i)q96+(6.04072+5.23431i)q97+(3.99237+8.96379i)q98+(2.751421.76823i)q99+O(q100)q+(0.936105 + 1.06005i) q^{2} +(0.340970 - 0.155716i) q^{3} +(-0.247417 + 1.98464i) q^{4} +(1.65610 - 1.43502i) q^{5} +(0.484250 + 0.215679i) q^{6} +(-3.14077 - 2.01845i) q^{7} +(-2.33542 + 1.59555i) q^{8} +(-1.87257 + 2.16106i) q^{9} +(3.07148 + 0.412224i) q^{10} +(0.162776 + 1.13213i) q^{11} +(0.224677 + 0.715227i) q^{12} +(2.71951 - 1.74772i) q^{13} +(-0.800429 - 5.21886i) q^{14} +(0.341226 - 0.747180i) q^{15} +(-3.87757 - 0.982065i) q^{16} +(-1.03533 - 3.52600i) q^{17} +(-4.04375 + 0.0379590i) q^{18} +(-1.68979 - 0.496168i) q^{19} +(2.43825 + 3.64182i) q^{20} +(-1.38521 - 0.199163i) q^{21} +(-1.04775 + 1.23235i) q^{22} +(4.46833 - 1.74184i) q^{23} +(-0.547856 + 0.907697i) q^{24} +(-0.0281822 + 0.196011i) q^{25} +(4.39842 + 1.24677i) q^{26} +(-0.618795 + 2.10742i) q^{27} +(4.78297 - 5.73390i) q^{28} +(-8.53724 + 2.50676i) q^{29} +(1.11147 - 0.337722i) q^{30} +(9.07531 + 4.14456i) q^{31} +(-2.58877 - 5.02974i) q^{32} +(0.231793 + 0.360677i) q^{33} +(2.76856 - 4.39820i) q^{34} +(-8.09797 + 1.16431i) q^{35} +(-3.82562 - 4.25105i) q^{36} +(4.67281 + 4.04902i) q^{37} +(-1.05586 - 2.25573i) q^{38} +(0.655122 - 1.01939i) q^{39} +(-1.57805 + 5.99379i) q^{40} +(-0.800388 - 0.923697i) q^{41} +(-1.08558 - 1.65483i) q^{42} +(1.14894 + 2.51582i) q^{43} +(-2.28715 + 0.0429431i) q^{44} +6.26612i q^{45} +(6.02927 + 3.10611i) q^{46} +2.26417i q^{47} +(-1.47506 + 0.268944i) q^{48} +(2.88240 + 6.31158i) q^{49} +(-0.234163 + 0.153613i) q^{50} +(-0.902067 - 1.04104i) q^{51} +(2.79574 + 5.82966i) q^{52} +(0.401905 - 0.625377i) q^{53} +(-2.81323 + 1.31681i) q^{54} +(1.89421 + 1.64135i) q^{55} +(10.5556 - 0.297328i) q^{56} +(-0.653429 + 0.0939489i) q^{57} +(-10.6490 - 6.70332i) q^{58} +(-5.02299 - 7.81592i) q^{59} +(1.39846 + 0.862074i) q^{60} +(-3.25979 - 1.48870i) q^{61} +(4.10200 + 13.5000i) q^{62} +(10.2433 - 3.00771i) q^{63} +(2.90842 - 7.45259i) q^{64} +(1.99577 - 6.79697i) q^{65} +(-0.165353 + 0.583343i) q^{66} +(-1.45310 + 10.1065i) q^{67} +(7.25398 - 1.18236i) q^{68} +(1.25233 - 1.28970i) q^{69} +(-8.81478 - 7.49435i) q^{70} +(-9.06545 - 1.30341i) q^{71} +(0.925157 - 8.03478i) q^{72} +(4.26223 + 1.25150i) q^{73} +(0.0820780 + 8.74372i) q^{74} +(0.0209128 + 0.0712223i) q^{75} +(1.40280 - 3.23086i) q^{76} +(1.77392 - 3.88434i) q^{77} +(1.69387 - 0.259793i) q^{78} +(13.6810 - 8.79222i) q^{79} +(-7.83095 + 3.93800i) q^{80} +(-1.10368 - 7.67624i) q^{81} +(0.229919 - 1.71313i) q^{82} +(-3.52806 + 4.07160i) q^{83} +(0.737992 - 2.69987i) q^{84} +(-6.77449 - 4.35370i) q^{85} +(-1.59138 + 3.57301i) q^{86} +(-2.52060 + 2.18411i) q^{87} +(-2.18653 - 2.38430i) q^{88} +(-5.59347 + 2.55445i) q^{89} +(-6.64241 + 5.86574i) q^{90} -12.0691 q^{91} +(2.35139 + 9.29898i) q^{92} +3.73978 q^{93} +(-2.40013 + 2.11950i) q^{94} +(-3.51049 + 1.60318i) q^{95} +(-1.66590 - 1.31188i) q^{96} +(-6.04072 + 5.23431i) q^{97} +(-3.99237 + 8.96379i) q^{98} +(-2.75142 - 1.76823i) q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 100q7q211q422q512q610q812q911q1018q1218q1311q14+5q1622q1724q1811q2022q2130q2416q25+71q98+O(q100) 100 q - 7 q^{2} - 11 q^{4} - 22 q^{5} - 12 q^{6} - 10 q^{8} - 12 q^{9} - 11 q^{10} - 18 q^{12} - 18 q^{13} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 24 q^{18} - 11 q^{20} - 22 q^{21} - 30 q^{24} - 16 q^{25}+ \cdots - 71 q^{98}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/92Z)×\left(\mathbb{Z}/92\mathbb{Z}\right)^\times.

nn 55 4747
χ(n)\chi(n) e(1722)e\left(\frac{17}{22}\right) 1-1

Coefficient data

For each nn we display the coefficients of the qq-expansion ana_n, the Satake parameters αp\alpha_p, and the Satake angles θp=Arg(αp)\theta_p = \textrm{Arg}(\alpha_p).



Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)
Significant digits:
nn ana_n an/n(k1)/2a_n / n^{(k-1)/2} αn \alpha_n θn \theta_n
pp apa_p ap/p(k1)/2a_p / p^{(k-1)/2} αp \alpha_p θp \theta_p
22 0.936105 + 1.06005i 0.661926 + 0.749569i
33 0.340970 0.155716i 0.196859 0.0899024i −0.314546 0.949242i 0.601852π-0.601852\pi
0.511405 + 0.859340i 0.329125π0.329125\pi
44 −0.247417 + 1.98464i −0.123708 + 0.992319i
55 1.65610 1.43502i 0.740633 0.641762i −0.200541 0.979685i 0.564270π-0.564270\pi
0.941174 + 0.337924i 0.109725π0.109725\pi
66 0.484250 + 0.215679i 0.197694 + 0.0880506i
77 −3.14077 2.01845i −1.18710 0.762903i −0.210422 0.977611i 0.567484π-0.567484\pi
−0.976678 + 0.214707i 0.931120π0.931120\pi
88 −2.33542 + 1.59555i −0.825697 + 0.564113i
99 −1.87257 + 2.16106i −0.624190 + 0.720353i
1010 3.07148 + 0.412224i 0.971289 + 0.130357i
1111 0.162776 + 1.13213i 0.0490789 + 0.341352i 0.999535 + 0.0304926i 0.00970759π0.00970759\pi
−0.950456 + 0.310859i 0.899383π0.899383\pi
1212 0.224677 + 0.715227i 0.0648588 + 0.206468i
1313 2.71951 1.74772i 0.754256 0.484731i −0.106143 0.994351i 0.533850π-0.533850\pi
0.860400 + 0.509620i 0.170214π0.170214\pi
1414 −0.800429 5.21886i −0.213924 1.39480i
1515 0.341226 0.747180i 0.0881041 0.192921i
1616 −3.87757 0.982065i −0.969392 0.245516i
1717 −1.03533 3.52600i −0.251103 0.855180i −0.984501 0.175380i 0.943885π-0.943885\pi
0.733397 0.679800i 0.237933π-0.237933\pi
1818 −4.04375 + 0.0379590i −0.953122 + 0.00894703i
1919 −1.68979 0.496168i −0.387665 0.113829i 0.0820914 0.996625i 0.473840π-0.473840\pi
−0.469756 + 0.882796i 0.655658π0.655658\pi
2020 2.43825 + 3.64182i 0.545210 + 0.814335i
2121 −1.38521 0.199163i −0.302278 0.0434610i
2222 −1.04775 + 1.23235i −0.223380 + 0.262737i
2323 4.46833 1.74184i 0.931711 0.363199i
2424 −0.547856 + 0.907697i −0.111831 + 0.185283i
2525 −0.0281822 + 0.196011i −0.00563644 + 0.0392023i
2626 4.39842 + 1.24677i 0.862601 + 0.244511i
2727 −0.618795 + 2.10742i −0.119087 + 0.405574i
2828 4.78297 5.73390i 0.903897 1.08360i
2929 −8.53724 + 2.50676i −1.58532 + 0.465493i −0.951414 0.307913i 0.900369π-0.900369\pi
−0.633910 + 0.773407i 0.718551π0.718551\pi
3030 1.11147 0.337722i 0.202926 0.0616593i
3131 9.07531 + 4.14456i 1.62997 + 0.744384i 0.999494 0.0318213i 0.0101307π-0.0101307\pi
0.630480 + 0.776205i 0.282858π0.282858\pi
3232 −2.58877 5.02974i −0.457635 0.889140i
3333 0.231793 + 0.360677i 0.0403500 + 0.0627858i
3434 2.76856 4.39820i 0.474805 0.754285i
3535 −8.09797 + 1.16431i −1.36881 + 0.196805i
3636 −3.82562 4.25105i −0.637603 0.708509i
3737 4.67281 + 4.04902i 0.768206 + 0.665654i 0.948079 0.318036i 0.103023π-0.103023\pi
−0.179873 + 0.983690i 0.557569π0.557569\pi
3838 −1.05586 2.25573i −0.171283 0.365928i
3939 0.655122 1.01939i 0.104904 0.163233i
4040 −1.57805 + 5.99379i −0.249512 + 0.947702i
4141 −0.800388 0.923697i −0.125000 0.144257i 0.689800 0.724000i 0.257698π-0.257698\pi
−0.814800 + 0.579743i 0.803153π0.803153\pi
4242 −1.08558 1.65483i −0.167509 0.255346i
4343 1.14894 + 2.51582i 0.175212 + 0.383660i 0.976780 0.214243i 0.0687283π-0.0687283\pi
−0.801569 + 0.597902i 0.796001π0.796001\pi
4444 −2.28715 + 0.0429431i −0.344801 + 0.00647392i
4545 6.26612i 0.934098i
4646 6.02927 + 3.10611i 0.888967 + 0.457971i
4747 2.26417i 0.330263i 0.986272 + 0.165131i 0.0528048π0.0528048\pi
−0.986272 + 0.165131i 0.947195π0.947195\pi
4848 −1.47506 + 0.268944i −0.212906 + 0.0388187i
4949 2.88240 + 6.31158i 0.411771 + 0.901654i
5050 −0.234163 + 0.153613i −0.0331157 + 0.0217241i
5151 −0.902067 1.04104i −0.126315 0.145775i
5252 2.79574 + 5.82966i 0.387700 + 0.808428i
5353 0.401905 0.625377i 0.0552060 0.0859021i −0.812553 0.582887i 0.801923π-0.801923\pi
0.867759 + 0.496985i 0.165559π0.165559\pi
5454 −2.81323 + 1.31681i −0.382832 + 0.179196i
5555 1.89421 + 1.64135i 0.255416 + 0.221319i
5656 10.5556 0.297328i 1.41055 0.0397322i
5757 −0.653429 + 0.0939489i −0.0865488 + 0.0124438i
5858 −10.6490 6.70332i −1.39829 0.880189i
5959 −5.02299 7.81592i −0.653937 1.01755i −0.996937 0.0782107i 0.975079π-0.975079\pi
0.343000 0.939336i 0.388557π-0.388557\pi
6060 1.39846 + 0.862074i 0.180540 + 0.111293i
6161 −3.25979 1.48870i −0.417374 0.190608i 0.195648 0.980674i 0.437319π-0.437319\pi
−0.613022 + 0.790066i 0.710046π0.710046\pi
6262 4.10200 + 13.5000i 0.520954 + 1.71451i
6363 10.2433 3.00771i 1.29054 0.378936i
6464 2.90842 7.45259i 0.363552 0.931574i
6565 1.99577 6.79697i 0.247545 0.843060i
6666 −0.165353 + 0.583343i −0.0203536 + 0.0718046i
6767 −1.45310 + 10.1065i −0.177525 + 1.23471i 0.684943 + 0.728597i 0.259827π0.259827\pi
−0.862467 + 0.506113i 0.831082π0.831082\pi
6868 7.25398 1.18236i 0.879674 0.143382i
6969 1.25233 1.28970i 0.150763 0.155262i
7070 −8.81478 7.49435i −1.05357 0.895746i
7171 −9.06545 1.30341i −1.07587 0.154687i −0.418472 0.908230i 0.637434π-0.637434\pi
−0.657399 + 0.753543i 0.728343π0.728343\pi
7272 0.925157 8.03478i 0.109031 0.946908i
7373 4.26223 + 1.25150i 0.498857 + 0.146478i 0.521475 0.853267i 0.325382π-0.325382\pi
−0.0226182 + 0.999744i 0.507200π0.507200\pi
7474 0.0820780 + 8.74372i 0.00954138 + 1.01644i
7575 0.0209128 + 0.0712223i 0.00241480 + 0.00822404i
7676 1.40280 3.23086i 0.160912 0.370606i
7777 1.77392 3.88434i 0.202157 0.442661i
7878 1.69387 0.259793i 0.191793 0.0294157i
7979 13.6810 8.79222i 1.53923 0.989202i 0.551296 0.834310i 0.314133π-0.314133\pi
0.987931 0.154892i 0.0495029π-0.0495029\pi
8080 −7.83095 + 3.93800i −0.875526 + 0.440282i
8181 −1.10368 7.67624i −0.122631 0.852915i
8282 0.229919 1.71313i 0.0253903 0.189183i
8383 −3.52806 + 4.07160i −0.387255 + 0.446916i −0.915586 0.402123i 0.868273π-0.868273\pi
0.528331 + 0.849038i 0.322818π0.322818\pi
8484 0.737992 2.69987i 0.0805215 0.294580i
8585 −6.77449 4.35370i −0.734797 0.472225i
8686 −1.59138 + 3.57301i −0.171603 + 0.385287i
8787 −2.52060 + 2.18411i −0.270236 + 0.234161i
8888 −2.18653 2.38430i −0.233085 0.254167i
8989 −5.59347 + 2.55445i −0.592907 + 0.270772i −0.689188 0.724583i 0.742033π-0.742033\pi
0.0962809 + 0.995354i 0.469305π0.469305\pi
9090 −6.64241 + 5.86574i −0.700171 + 0.618304i
9191 −12.0691 −1.26518
9292 2.35139 + 9.29898i 0.245149 + 0.969485i
9393 3.73978 0.387797
9494 −2.40013 + 2.11950i −0.247555 + 0.218610i
9595 −3.51049 + 1.60318i −0.360168 + 0.164483i
9696 −1.66590 1.31188i −0.170025 0.133893i
9797 −6.04072 + 5.23431i −0.613342 + 0.531464i −0.905193 0.425000i 0.860274π-0.860274\pi
0.291852 + 0.956464i 0.405729π0.405729\pi
9898 −3.99237 + 8.96379i −0.403290 + 0.905479i
9999 −2.75142 1.76823i −0.276528 0.177714i
100100 −0.382039 0.104428i −0.0382039 0.0104428i
101101 10.4416 12.0503i 1.03898 1.19905i 0.0593535 0.998237i 0.481096π-0.481096\pi
0.979630 0.200813i 0.0643585π-0.0643585\pi
102102 0.259128 1.93076i 0.0256575 0.191174i
103103 −2.55830 17.7934i −0.252077 1.75323i −0.585701 0.810527i 0.699181π-0.699181\pi
0.333624 0.942706i 0.391728π-0.391728\pi
104104 −3.56263 + 8.42080i −0.349344 + 0.825727i
105105 −2.57986 + 1.65798i −0.251769 + 0.161802i
106106 1.03916 0.159378i 0.100932 0.0154802i
107107 3.56732 7.81135i 0.344866 0.755151i −0.655134 0.755513i 0.727388π-0.727388\pi
1.00000 0.000361420i 0.000115044π0.000115044\pi
108108 −4.02937 1.74950i −0.387726 0.168345i
109109 −2.90209 9.88360i −0.277970 0.946677i −0.973597 0.228274i 0.926692π-0.926692\pi
0.695627 0.718403i 0.255127π-0.255127\pi
110110 0.0332719 + 3.54444i 0.00317235 + 0.337949i
111111 2.22378 + 0.652961i 0.211072 + 0.0619763i
112112 10.1963 + 10.9111i 0.963461 + 1.03101i
113113 10.1971 + 1.46612i 0.959260 + 0.137921i 0.604121 0.796893i 0.293524π-0.293524\pi
0.355139 + 0.934813i 0.384433π0.384433\pi
114114 −0.711268 0.604722i −0.0666164 0.0566374i
115115 4.90044 9.29683i 0.456968 0.866934i
116116 −2.86275 17.5635i −0.265800 1.63073i
117117 −1.31554 + 9.14976i −0.121621 + 0.845895i
118118 3.58323 12.6411i 0.329863 1.16371i
119119 −3.86533 + 13.1641i −0.354334 + 1.20675i
120120 0.395259 + 2.28943i 0.0360820 + 0.208995i
121121 9.29919 2.73049i 0.845381 0.248226i
122122 −1.47341 4.84912i −0.133396 0.439019i
123123 −0.416742 0.190320i −0.0375764 0.0171605i
124124 −10.4708 + 16.9858i −0.940308 + 1.52537i
125125 6.15825 + 9.58242i 0.550811 + 0.857078i
126126 12.7771 + 8.04291i 1.13828 + 0.716519i
127127 2.28895 0.329102i 0.203112 0.0292031i −0.0400079 0.999199i 0.512738π-0.512738\pi
0.243120 + 0.969996i 0.421829π0.421829\pi
128128 10.6227 3.89333i 0.938924 0.344125i
129129 0.783506 + 0.678912i 0.0689839 + 0.0597749i
130130 9.07339 4.24706i 0.795789 0.372491i
131131 −6.69494 + 10.4175i −0.584940 + 0.910184i 0.415060 + 0.909794i 0.363761π0.363761\pi
−1.00000 0.000390307i 0.999876π0.999876\pi
132132 −0.773162 + 0.370787i −0.0672951 + 0.0322729i
133133 4.30576 + 4.96912i 0.373357 + 0.430877i
134134 −12.0737 + 7.92042i −1.04301 + 0.684220i
135135 1.99941 + 4.37810i 0.172082 + 0.376807i
136136 8.04384 + 6.58278i 0.689754 + 0.564469i
137137 9.53713i 0.814812i −0.913247 0.407406i 0.866433π-0.866433\pi
0.913247 0.407406i 0.133567π-0.133567\pi
138138 2.53947 + 0.120239i 0.216174 + 0.0102354i
139139 14.8214i 1.25713i 0.777755 + 0.628567i 0.216358π0.216358\pi
−0.777755 + 0.628567i 0.783642π0.783642\pi
140140 −0.307165 16.3596i −0.0259602 1.38264i
141141 0.352566 + 0.772013i 0.0296914 + 0.0650152i
142142 −7.10452 10.8300i −0.596198 0.908831i
143143 2.42133 + 2.79436i 0.202482 + 0.233676i
144144 9.38332 6.54068i 0.781943 0.545056i
145145 −10.5413 + 16.4026i −0.875407 + 1.36216i
146146 2.66324 + 5.68972i 0.220411 + 0.470885i
147147 1.96562 + 1.70322i 0.162122 + 0.140479i
148148 −9.19196 + 8.27205i −0.755575 + 0.679958i
149149 −11.6451 + 1.67432i −0.954006 + 0.137165i −0.601703 0.798720i 0.705511π-0.705511\pi
−0.352304 + 0.935886i 0.614602π0.614602\pi
150150 −0.0559228 + 0.0888401i −0.00456607 + 0.00725376i
151151 0.682332 + 1.06173i 0.0555274 + 0.0864023i 0.867907 0.496726i 0.165465π-0.165465\pi
−0.812380 + 0.583129i 0.801828π0.801828\pi
152152 4.73805 1.53739i 0.384306 0.124699i
153153 9.55861 + 4.36527i 0.772768 + 0.352911i
154154 5.77817 1.75570i 0.465618 0.141478i
155155 20.9772 6.15946i 1.68493 0.494740i
156156 1.86103 + 1.55239i 0.149002 + 0.124291i
157157 1.44386 4.91732i 0.115232 0.392445i −0.881598 0.472001i 0.843532π-0.843532\pi
0.996830 + 0.0795558i 0.0253502π0.0253502\pi
158158 22.1270 + 6.27208i 1.76033 + 0.498980i
159159 0.0396566 0.275817i 0.00314497 0.0218737i
160160 −11.5051 4.61482i −0.909555 0.364834i
161161 −17.5498 3.54838i −1.38312 0.279651i
162162 7.10405 8.35571i 0.558147 0.656487i
163163 −9.67641 1.39126i −0.757915 0.108972i −0.247486 0.968892i 0.579604π-0.579604\pi
−0.510429 + 0.859920i 0.670513π0.670513\pi
164164 2.03123 1.35994i 0.158613 0.106194i
165165 0.901453 + 0.264690i 0.0701780 + 0.0206061i
166166 −7.61873 + 0.0715176i −0.591328 + 0.00555084i
167167 −1.03844 3.53662i −0.0803572 0.273672i 0.909507 0.415689i 0.136459π-0.136459\pi
−0.989864 + 0.142017i 0.954641π0.954641\pi
168168 3.55284 1.74505i 0.274107 0.134633i
169169 −1.05920 + 2.31932i −0.0814766 + 0.178409i
170170 −1.72649 11.2568i −0.132416 0.863360i
171171 4.23650 2.72263i 0.323973 0.208205i
172172 −5.27727 + 1.65777i −0.402388 + 0.126404i
173173 0.724466 + 5.03877i 0.0550801 + 0.383091i 0.998651 + 0.0519206i 0.0165343π0.0165343\pi
−0.943571 + 0.331170i 0.892557π0.892557\pi
174174 −4.67481 0.627406i −0.354396 0.0475636i
175175 0.484153 0.558743i 0.0365986 0.0422370i
176176 0.480653 4.54979i 0.0362306 0.342953i
177177 −2.92975 1.88283i −0.220213 0.141522i
178178 −7.94393 3.53813i −0.595423 0.265194i
179179 1.34857 1.16854i 0.100797 0.0873407i −0.603005 0.797738i 0.706030π-0.706030\pi
0.703801 + 0.710397i 0.251485π0.251485\pi
180180 −12.4360 1.55034i −0.926923 0.115556i
181181 −19.2255 + 8.77998i −1.42902 + 0.652611i −0.971598 0.236639i 0.923954π-0.923954\pi
−0.457421 + 0.889250i 0.651227π0.651227\pi
182182 −11.2979 12.7938i −0.837456 0.948341i
183183 −1.34330 −0.0992998
184184 −7.65625 + 11.1974i −0.564426 + 0.825484i
185185 13.5491 0.996150
186186 3.50082 + 3.96435i 0.256693 + 0.290681i
187187 3.82338 1.74608i 0.279593 0.127686i
188188 −4.49355 0.560193i −0.327726 0.0408563i
189189 6.19723 5.36993i 0.450782 0.390605i
190190 −4.98564 2.22055i −0.361696 0.161095i
191191 −17.7180 11.3867i −1.28203 0.823911i −0.290893 0.956756i 0.593952π-0.593952\pi
−0.991137 + 0.132845i 0.957589π0.957589\pi
192192 −0.168803 2.99399i −0.0121823 0.216073i
193193 0.606229 0.699625i 0.0436373 0.0503601i −0.733511 0.679677i 0.762120π-0.762120\pi
0.777149 + 0.629317i 0.216665π0.216665\pi
194194 −11.2034 1.50361i −0.804356 0.107953i
195195 −0.377897 2.62833i −0.0270618 0.188219i
196196 −13.2393 + 4.15893i −0.945667 + 0.297066i
197197 −7.17132 + 4.60873i −0.510936 + 0.328358i −0.770577 0.637347i 0.780032π-0.780032\pi
0.259642 + 0.965705i 0.416396π0.416396\pi
198198 −0.701203 4.57190i −0.0498323 0.324911i
199199 −4.93644 + 10.8093i −0.349935 + 0.766250i 0.650045 + 0.759896i 0.274750π0.274750\pi
−0.999980 + 0.00635466i 0.997977π0.997977\pi
200200 −0.246929 0.502736i −0.0174605 0.0355488i
201201 1.07828 + 3.67229i 0.0760562 + 0.259024i
202202 22.5484 0.211664i 1.58650 0.0148926i
203203 31.8733 + 9.35884i 2.23707 + 0.656862i
204204 2.28928 1.53271i 0.160281 0.107311i
205205 −2.65105 0.381164i −0.185158 0.0266216i
206206 16.4671 19.3684i 1.14731 1.34946i
207207 −4.60303 + 12.9181i −0.319933 + 0.897867i
208208 −12.2615 + 4.10618i −0.850180 + 0.284713i
209209 0.286671 1.99384i 0.0198294 0.137917i
210210 −4.17256 1.18275i −0.287934 0.0816172i
211211 −5.81597 + 19.8074i −0.400388 + 1.36360i 0.474919 + 0.880030i 0.342477π0.342477\pi
−0.875307 + 0.483567i 0.839341π0.839341\pi
212212 1.14171 + 0.952365i 0.0784129 + 0.0654087i
213213 −3.29400 + 0.967207i −0.225701 + 0.0662719i
214214 11.6198 3.53069i 0.794314 0.241353i
215215 5.51303 + 2.51772i 0.375985 + 0.171707i
216216 −1.91736 5.90905i −0.130460 0.402060i
217217 −20.1379 31.3352i −1.36705 2.12717i
218218 7.76047 12.3284i 0.525605 0.834988i
219219 1.64817 0.236971i 0.111373 0.0160130i
220220 −3.72614 + 3.35323i −0.251216 + 0.226075i
221221 −8.97805 7.77952i −0.603929 0.523307i
222222 1.38952 + 2.96856i 0.0932585 + 0.199237i
223223 7.55708 11.7591i 0.506060 0.787444i −0.490402 0.871497i 0.663150π-0.663150\pi
0.996461 + 0.0840523i 0.0267863π0.0267863\pi
224224 −2.02154 + 21.0226i −0.135070 + 1.40463i
225225 −0.370819 0.427948i −0.0247213 0.0285299i
226226 7.99137 + 12.1819i 0.531578 + 0.810325i
227227 −11.7401 25.7073i −0.779220 1.70625i −0.705212 0.708996i 0.749148π-0.749148\pi
−0.0740076 0.997258i 0.523579π-0.523579\pi
228228 −0.0247853 1.32006i −0.00164144 0.0874234i
229229 10.5591i 0.697763i 0.937167 + 0.348882i 0.113438π0.113438\pi
−0.937167 + 0.348882i 0.886562π0.886562\pi
230230 14.4424 3.50809i 0.952306 0.231317i
231231 1.60067i 0.105316i
232232 15.9384 19.4760i 1.04641 1.27866i
233233 3.77738 + 8.27132i 0.247465 + 0.541872i 0.992078 0.125624i 0.0400933π-0.0400933\pi
−0.744613 + 0.667496i 0.767366π0.767366\pi
234234 −10.9307 + 7.17059i −0.714562 + 0.468756i
235235 3.24913 + 3.74970i 0.211950 + 0.244603i
236236 16.7545 8.03502i 1.09063 0.523035i
237237 3.29570 5.12822i 0.214079 0.333113i
238238 −17.5730 + 8.22553i −1.13909 + 0.533182i
239239 3.93558 + 3.41020i 0.254572 + 0.220588i 0.772792 0.634660i 0.218860π-0.218860\pi
−0.518220 + 0.855247i 0.673405π0.673405\pi
240240 −2.05691 + 2.56214i −0.132773 + 0.165385i
241241 14.9668 2.15190i 0.964097 0.138616i 0.357751 0.933817i 0.383544π-0.383544\pi
0.606346 + 0.795201i 0.292635π0.292635\pi
242242 11.5995 + 7.30159i 0.745642 + 0.469364i
243243 −5.13401 7.98867i −0.329347 0.512473i
244244 3.76105 6.10118i 0.240777 0.390588i
245245 13.8308 + 6.31632i 0.883618 + 0.403535i
246246 −0.188365 0.619927i −0.0120097 0.0395251i
247247 −5.46257 + 1.60396i −0.347575 + 0.102057i
248248 −27.8076 + 4.80085i −1.76578 + 0.304854i
249249 −0.568949 + 1.93766i −0.0360557 + 0.122794i
250250 −4.39309 + 15.4982i −0.277844 + 0.980193i
251251 −0.300202 + 2.08795i −0.0189486 + 0.131790i −0.997100 0.0761039i 0.975752π-0.975752\pi
0.978151 + 0.207894i 0.0666610π0.0666610\pi
252252 3.43484 + 21.0734i 0.216375 + 1.32750i
253253 2.69934 + 4.77522i 0.169706 + 0.300216i
254254 2.49156 + 2.11833i 0.156335 + 0.132916i
255255 −2.98784 0.429586i −0.187106 0.0269017i
256256 14.0711 + 7.61605i 0.879444 + 0.476003i
257257 17.6327 + 5.17743i 1.09990 + 0.322959i 0.780812 0.624766i 0.214806π-0.214806\pi
0.319087 + 0.947725i 0.396624π0.396624\pi
258258 0.0137623 + 1.46609i 0.000856803 + 0.0912747i
259259 −6.50350 22.1489i −0.404108 1.37627i
260260 12.9957 + 5.64256i 0.805961 + 0.349937i
261261 10.5693 23.1436i 0.654224 1.43255i
262262 −17.3103 + 2.65492i −1.06943 + 0.164022i
263263 −8.46337 + 5.43908i −0.521874 + 0.335388i −0.774913 0.632068i 0.782206π-0.782206\pi
0.253039 + 0.967456i 0.418570π0.418570\pi
264264 −1.11681 0.472495i −0.0687351 0.0290801i
265265 −0.231833 1.61243i −0.0142414 0.0990510i
266266 −1.23687 + 9.21594i −0.0758375 + 0.565066i
267267 −1.50944 + 1.74198i −0.0923760 + 0.106608i
268268 −19.6983 5.38440i −1.20326 0.328905i
269269 17.0822 + 10.9781i 1.04152 + 0.669346i 0.945363 0.326020i 0.105708π-0.105708\pi
0.0961596 + 0.995366i 0.469344π0.469344\pi
270270 −2.76935 + 6.21783i −0.168537 + 0.378405i
271271 4.88932 4.23662i 0.297005 0.257356i −0.493591 0.869694i 0.664316π-0.664316\pi
0.790596 + 0.612338i 0.209771π0.209771\pi
272272 0.551792 + 14.6891i 0.0334573 + 0.890655i
273273 −4.11518 + 1.87934i −0.249062 + 0.113743i
274274 10.1098 8.92775i 0.610758 0.539345i
275275 −0.226499 −0.0136584
276276 2.24975 + 2.80452i 0.135419 + 0.168812i
277277 20.6386 1.24005 0.620026 0.784582i 0.287122π-0.287122\pi
0.620026 + 0.784582i 0.287122π0.287122\pi
278278 −15.7114 + 13.8744i −0.942309 + 0.832130i
279279 −25.9508 + 11.8513i −1.55363 + 0.709520i
280280 17.0545 15.6399i 1.01920 0.934664i
281281 −13.0739 + 11.3286i −0.779923 + 0.675807i −0.950911 0.309466i 0.899850π-0.899850\pi
0.170987 + 0.985273i 0.445304π0.445304\pi
282282 −0.488334 + 1.09642i −0.0290799 + 0.0652910i
283283 1.50653 + 0.968186i 0.0895537 + 0.0575527i 0.584651 0.811285i 0.301231π-0.301231\pi
−0.495098 + 0.868837i 0.664868π0.664868\pi
284284 4.82975 17.6691i 0.286593 1.04847i
285285 −0.947328 + 1.09327i −0.0561149 + 0.0647600i
286286 −0.695551 + 5.18255i −0.0411288 + 0.306451i
287287 0.649399 + 4.51667i 0.0383328 + 0.266610i
288288 15.7172 + 3.82404i 0.926146 + 0.225334i
289289 2.94056 1.88978i 0.172974 0.111164i
290290 −27.2553 + 4.18022i −1.60049 + 0.245471i
291291 −1.24464 + 2.72537i −0.0729619 + 0.159764i
292292 −3.53833 + 8.14934i −0.207065 + 0.476904i
293293 −4.05277 13.8025i −0.236765 0.806349i −0.989059 0.147521i 0.952871π-0.952871\pi
0.752294 0.658828i 0.228948π-0.228948\pi
294294 0.0345262 + 3.67805i 0.00201361 + 0.214508i
295295 −19.5346 5.73588i −1.13735 0.333956i
296296 −17.3734 2.00045i −1.00981 0.116274i
297297 −2.48661 0.357521i −0.144288 0.0207455i
298298 −12.6759 10.7771i −0.734296 0.624301i
299299 9.10741 12.5464i 0.526695 0.725575i
300300 −0.146525 + 0.0238826i −0.00845960 + 0.00137887i
301301 1.46952 10.2207i 0.0847015 0.589112i
302302 −0.486753 + 1.71720i −0.0280095 + 0.0988135i
303303 1.68386 5.73471i 0.0967355 0.329451i
304304 6.06502 + 3.58341i 0.347853 + 0.205523i
305305 −7.53487 + 2.21244i −0.431446 + 0.126684i
306306 4.32045 + 14.2190i 0.246984 + 0.812844i
307307 −0.0421634 0.0192554i −0.00240639 0.00109896i 0.414211 0.910181i 0.364057π-0.364057\pi
−0.416618 + 0.909082i 0.636785π0.636785\pi
308308 7.27010 + 4.48163i 0.414252 + 0.255365i
309309 −3.64301 5.66863i −0.207244 0.322477i
310310 26.1662 + 16.4710i 1.48614 + 0.935490i
311311 7.22360 1.03860i 0.409613 0.0588934i 0.0655712 0.997848i 0.479113π-0.479113\pi
0.344041 + 0.938954i 0.388204π0.388204\pi
312312 0.0965028 + 3.42599i 0.00546340 + 0.193959i
313313 16.9083 + 14.6511i 0.955713 + 0.828130i 0.985195 0.171435i 0.0548405π-0.0548405\pi
−0.0294826 + 0.999565i 0.509386π0.509386\pi
314314 6.56421 3.07256i 0.370440 0.173395i
315315 12.6479 19.6805i 0.712627 1.10887i
316316 14.0645 + 29.3271i 0.791188 + 1.64978i
317317 −4.71950 5.44659i −0.265074 0.305911i 0.607573 0.794264i 0.292143π-0.292143\pi
−0.872646 + 0.488353i 0.837598π0.837598\pi
318318 0.329503 0.216156i 0.0184776 0.0121214i
319319 −4.22765 9.25726i −0.236703 0.518307i
320320 −5.87799 16.5159i −0.328590 0.923268i
321321 3.21892i 0.179663i
322322 −12.6670 21.9254i −0.705906 1.22185i
323323 6.47190i 0.360106i
324324 15.5076 0.291168i 0.861534 0.0161760i
325325 0.265932 + 0.582309i 0.0147512 + 0.0323007i
326326 −7.58333 11.5599i −0.420002 0.640241i
327327 −2.52855 2.91811i −0.139829 0.161372i
328328 3.34305 + 0.880163i 0.184589 + 0.0485989i
329329 4.57012 7.11124i 0.251959 0.392055i
330330 0.563268 + 1.20336i 0.0310069 + 0.0662430i
331331 15.8808 + 13.7608i 0.872886 + 0.756360i 0.971067 0.238808i 0.0767567π-0.0767567\pi
−0.0981803 + 0.995169i 0.531302π0.531302\pi
332332 −7.20774 8.00930i −0.395576 0.439567i
333333 −17.5003 + 2.51617i −0.959013 + 0.137885i
334334 2.77690 4.41145i 0.151945 0.241384i
335335 12.0966 + 18.8227i 0.660909 + 1.02839i
336336 5.17567 + 2.13264i 0.282356 + 0.116345i
337337 −21.0240 9.60132i −1.14525 0.523017i −0.249850 0.968284i 0.580381π-0.580381\pi
−0.895398 + 0.445267i 0.853109π0.853109\pi
338338 −3.45011 + 1.04832i −0.187661 + 0.0570211i
339339 3.70519 1.08794i 0.201238 0.0590889i
340340 10.3166 12.3677i 0.559499 0.670735i
341341 −3.21495 + 10.9491i −0.174099 + 0.592928i
342342 6.85194 + 1.94224i 0.370511 + 0.105024i
343343 −0.0326215 + 0.226887i −0.00176139 + 0.0122508i
344344 −6.69739 4.04233i −0.361099 0.217948i
345345 0.223239 3.93301i 0.0120188 0.211746i
346346 −4.66318 + 5.48479i −0.250694 + 0.294864i
347347 13.8830 + 1.99607i 0.745277 + 0.107155i 0.504483 0.863422i 0.331683π-0.331683\pi
0.240794 + 0.970576i 0.422592π0.422592\pi
348348 −3.71103 5.54285i −0.198932 0.297128i
349349 −5.34964 1.57080i −0.286360 0.0840828i 0.135398 0.990791i 0.456769π-0.456769\pi
−0.421758 + 0.906708i 0.638587π0.638587\pi
350350 1.04551 0.00981432i 0.0558851 0.000524597i
351351 2.00037 + 6.81264i 0.106772 + 0.363632i
352352 5.27295 3.74956i 0.281049 0.199852i
353353 −0.464795 + 1.01776i −0.0247385 + 0.0541699i −0.921598 0.388146i 0.873116π-0.873116\pi
0.896859 + 0.442316i 0.145843π0.145843\pi
354354 −0.746649 4.86821i −0.0396839 0.258742i
355355 −16.8838 + 10.8505i −0.896097 + 0.575887i
356356 −3.68575 11.7330i −0.195344 0.621849i
357357 0.731897 + 5.09045i 0.0387361 + 0.269415i
358358 2.50111 + 0.335674i 0.132188 + 0.0177409i
359359 −10.1453 + 11.7083i −0.535451 + 0.617943i −0.957431 0.288662i 0.906790π-0.906790\pi
0.421980 + 0.906605i 0.361335π0.361335\pi
360360 −9.99793 14.6341i −0.526937 0.771282i
361361 −13.3746 8.59533i −0.703926 0.452386i
362362 −27.3043 12.1610i −1.43508 0.639169i
363363 2.74556 2.37904i 0.144105 0.124867i
364364 2.98609 23.9527i 0.156513 1.25546i
365365 8.85464 4.04378i 0.463473 0.211661i
366366 −1.25747 1.42397i −0.0657291 0.0744321i
367367 0.817746 0.0426860 0.0213430 0.999772i 0.493206π-0.493206\pi
0.0213430 + 0.999772i 0.493206π0.493206\pi
368368 −19.0369 + 2.36593i −0.992365 + 0.123333i
369369 3.49495 0.181940
370370 12.6834 + 14.3627i 0.659377 + 0.746683i
371371 −2.52459 + 1.15294i −0.131070 + 0.0598577i
372372 −0.925283 + 7.42210i −0.0479737 + 0.384818i
373373 6.00992 5.20762i 0.311182 0.269641i −0.485241 0.874380i 0.661268π-0.661268\pi
0.796423 + 0.604740i 0.206723π0.206723\pi
374374 5.43001 + 2.41846i 0.280779 + 0.125056i
375375 3.59191 + 2.30838i 0.185485 + 0.119204i
376376 −3.61260 5.28780i −0.186306 0.272697i
377377 −18.8360 + 21.7379i −0.970102 + 1.11956i
378378 11.4936 + 1.54256i 0.591170 + 0.0793409i
379379 2.85196 + 19.8358i 0.146495 + 1.01890i 0.921899 + 0.387431i 0.126638π0.126638\pi
−0.775403 + 0.631467i 0.782453π0.782453\pi
380380 −2.31319 7.36369i −0.118664 0.377750i
381381 0.729217 0.468639i 0.0373589 0.0240091i
382382 −4.51545 29.4411i −0.231031 1.50634i
383383 0.939261 2.05669i 0.0479940 0.105092i −0.884116 0.467267i 0.845239π-0.845239\pi
0.932110 + 0.362175i 0.117966π0.117966\pi
384384 3.01577 2.98163i 0.153898 0.152156i
385385 −2.63632 8.97848i −0.134359 0.457586i
386386 1.30913 0.0122889i 0.0666331 0.000625490i
387387 −7.58832 2.22813i −0.385736 0.113262i
388388 −8.89363 13.2837i −0.451506 0.674377i
389389 −8.33260 1.19805i −0.422480 0.0607434i −0.0722037 0.997390i 0.523003π-0.523003\pi
−0.350276 + 0.936646i 0.613912π0.613912\pi
390390 2.43242 2.86098i 0.123170 0.144872i
391391 −10.7679 13.9519i −0.544557 0.705580i
392392 −16.8021 10.1412i −0.848633 0.512207i
393393 −0.660599 + 4.59457i −0.0333228 + 0.231765i
394394 −11.5986 3.28772i −0.584329 0.165633i
395395 10.0401 34.1933i 0.505170 1.72045i
396396 4.19005 5.02308i 0.210558 0.252419i
397397 −3.23260 + 0.949177i −0.162239 + 0.0476378i −0.361844 0.932239i 0.617853π-0.617853\pi
0.199604 + 0.979877i 0.436034π0.436034\pi
398398 −16.0794 + 4.88575i −0.805989 + 0.244901i
399399 2.24190 + 1.02384i 0.112236 + 0.0512562i
400400 0.301774 0.732371i 0.0150887 0.0366185i
401401 8.46186 + 13.1669i 0.422565 + 0.657525i 0.985636 0.168884i 0.0540164π-0.0540164\pi
−0.563071 + 0.826409i 0.690380π0.690380\pi
402402 −2.88343 + 4.58068i −0.143813 + 0.228464i
403403 31.9239 4.58997i 1.59024 0.228643i
404404 21.3320 + 23.7043i 1.06131 + 1.17933i
405405 −12.8434 11.1289i −0.638193 0.552997i
406406 19.9159 + 42.5482i 0.988408 + 2.11163i
407407 −3.82341 + 5.94934i −0.189519 + 0.294898i
408408 3.76775 + 0.991977i 0.186531 + 0.0491102i
409409 13.5096 + 15.5909i 0.668008 + 0.770923i 0.984063 0.177818i 0.0569039π-0.0569039\pi
−0.316055 + 0.948741i 0.602358π0.602358\pi
410410 −2.07761 3.16706i −0.102606 0.156410i
411411 −1.48508 3.25187i −0.0732536 0.160403i
412412 35.9464 0.674922i 1.77095 0.0332510i
413413 34.6867i 1.70682i
414414 −18.0027 + 7.21320i −0.884785 + 0.354509i
415415 11.8058i 0.579526i
416416 −15.8308 9.15396i −0.776168 0.448810i
417417 2.30792 + 5.05364i 0.113019 + 0.247478i
418418 2.38192 1.56255i 0.116504 0.0764271i
419419 −6.55475 7.56458i −0.320220 0.369554i 0.572703 0.819763i 0.305895π-0.305895\pi
−0.892923 + 0.450209i 0.851349π0.851349\pi
420420 −2.65218 5.53030i −0.129413 0.269851i
421421 −10.1364 + 15.7726i −0.494020 + 0.768710i −0.995327 0.0965595i 0.969216π-0.969216\pi
0.501307 + 0.865269i 0.332853π0.332853\pi
422422 −26.4412 + 12.3766i −1.28714 + 0.602481i
423423 −4.89300 4.23981i −0.237906 0.206147i
424424 0.0592027 + 2.10178i 0.00287514 + 0.102072i
425425 0.720313 0.103565i 0.0349403 0.00502366i
426426 −4.10882 2.58641i −0.199073 0.125312i
427427 7.23340 + 11.2554i 0.350049 + 0.544687i
428428 14.6201 + 9.01250i 0.706688 + 0.435636i
429429 1.26073 + 0.575754i 0.0608684 + 0.0277977i
430430 2.49186 + 8.20094i 0.120168 + 0.395484i
431431 −2.71944 + 0.798501i −0.130991 + 0.0384624i −0.346571 0.938024i 0.612654π-0.612654\pi
0.215580 + 0.976486i 0.430836π0.430836\pi
432432 4.46905 7.56398i 0.215017 0.363922i
433433 5.21341 17.7552i 0.250540 0.853262i −0.734156 0.678981i 0.762422π-0.762422\pi
0.984696 0.174281i 0.0557600π-0.0557600\pi
434434 14.3657 50.6802i 0.689577 2.43273i
435435 −1.04012 + 7.23423i −0.0498702 + 0.346855i
436436 20.3334 3.31422i 0.973793 0.158722i
437437 −8.41480 + 0.726312i −0.402534 + 0.0347442i
438438 1.79406 + 1.52532i 0.0857236 + 0.0728824i
439439 −3.02122 0.434385i −0.144195 0.0207321i 0.0698394 0.997558i 0.477751π-0.477751\pi
−0.214034 + 0.976826i 0.568660π0.568660\pi
440440 −7.04265 0.810920i −0.335745 0.0386591i
441441 −19.0372 5.58982i −0.906533 0.266182i
442442 −0.157699 16.7996i −0.00750100 0.799077i
443443 4.88374 + 16.6325i 0.232034 + 0.790234i 0.990379 + 0.138381i 0.0441899π0.0441899\pi
−0.758345 + 0.651853i 0.773992π0.773992\pi
444444 −1.84609 + 4.25185i −0.0876117 + 0.201784i
445445 −5.59768 + 12.2572i −0.265355 + 0.581047i
446446 19.5394 2.99681i 0.925218 0.141903i
447447 −3.70992 + 2.38422i −0.175473 + 0.112770i
448448 −24.1774 + 17.5364i −1.14227 + 0.828517i
449449 0.0379424 + 0.263895i 0.00179061 + 0.0124540i 0.990697 0.136085i 0.0434520π-0.0434520\pi
−0.988907 + 0.148539i 0.952543π0.952543\pi
450450 0.106521 0.793692i 0.00502147 0.0374150i
451451 0.915465 1.05650i 0.0431076 0.0497488i
452452 −5.43264 + 19.8748i −0.255530 + 0.934830i
453453 0.397982 + 0.255768i 0.0186988 + 0.0120170i
454454 16.2611 36.5099i 0.763170 1.71349i
455455 −19.9876 + 17.3194i −0.937034 + 0.811945i
456456 1.37613 1.26199i 0.0644433 0.0590982i
457457 26.5005 12.1024i 1.23964 0.566124i 0.315771 0.948835i 0.397737π-0.397737\pi
0.923868 + 0.382711i 0.125010π0.125010\pi
458458 −11.1932 + 9.88440i −0.523022 + 0.461868i
459459 8.07142 0.376742
460460 17.2384 + 12.0258i 0.803744 + 0.560705i
461461 −8.90884 −0.414926 −0.207463 0.978243i 0.566521π-0.566521\pi
−0.207463 + 0.978243i 0.566521π0.566521\pi
462462 1.69679 1.49839i 0.0789417 0.0697115i
463463 −10.0885 + 4.60724i −0.468850 + 0.214117i −0.635808 0.771847i 0.719333π-0.719333\pi
0.166958 + 0.985964i 0.446606π0.446606\pi
464464 35.5655 1.33601i 1.65109 0.0620229i
465465 6.19346 5.36666i 0.287215 0.248873i
466466 −5.23199 + 11.7470i −0.242367 + 0.544171i
467467 29.0694 + 18.6818i 1.34517 + 0.864489i 0.997327 0.0730634i 0.0232775π-0.0232775\pi
0.347844 + 0.937552i 0.386914π0.386914\pi
468468 −17.8335 4.87467i −0.824352 0.225331i
469469 24.9634 28.8093i 1.15270 1.33029i
470470 −0.933345 + 6.95436i −0.0430520 + 0.320781i
471471 −0.273393 1.90149i −0.0125973 0.0876159i
472472 24.2015 + 10.2390i 1.11397 + 0.471290i
473473 −2.66123 + 1.71027i −0.122364 + 0.0786383i
474474 8.52129 1.30693i 0.391396 0.0600293i
475475 0.144877 0.317235i 0.00664739 0.0145558i
476476 −25.1696 10.9283i −1.15365 0.500898i
477477 0.598882 + 2.03960i 0.0274209 + 0.0933870i
478478 0.0691285 + 7.36422i 0.00316186 + 0.336832i
479479 27.9632 + 8.21073i 1.27767 + 0.375158i 0.849043 0.528323i 0.177179π-0.177179\pi
0.428627 + 0.903481i 0.358997π0.358997\pi
480480 −4.64148 + 0.218003i −0.211853 + 0.00995044i
481481 19.7843 + 2.84456i 0.902087 + 0.129701i
482482 16.2916 + 13.8512i 0.742063 + 0.630904i
483483 −6.53650 + 1.52289i −0.297421 + 0.0692941i
484484 3.11825 + 19.1311i 0.141739 + 0.869595i
485485 −2.49270 + 17.3371i −0.113188 + 0.787239i
486486 3.66243 12.9205i 0.166131 0.586088i
487487 5.43992 18.5267i 0.246506 0.839523i −0.739549 0.673103i 0.764961π-0.764961\pi
0.986055 0.166420i 0.0532207π-0.0532207\pi
488488 9.98830 1.72443i 0.452149 0.0780614i
489489 −3.51600 + 1.03239i −0.158999 + 0.0466863i
490490 6.25146 + 20.5741i 0.282412 + 0.929443i
491491 −9.74561 4.45067i −0.439813 0.200856i 0.183186 0.983078i 0.441359π-0.441359\pi
−0.622999 + 0.782222i 0.714086π0.714086\pi
492492 0.480824 0.779993i 0.0216772 0.0351648i
493493 17.6776 + 27.5070i 0.796161 + 1.23885i
494494 −6.81381 4.28913i −0.306568 0.192977i
495495 −7.09410 + 1.01998i −0.318856 + 0.0458446i
496496 −31.1199 24.9833i −1.39733 1.12179i
497497 25.8416 + 22.3919i 1.15916 + 1.00441i
498498 −2.58662 + 1.21074i −0.115909 + 0.0542546i
499499 4.94897 7.70075i 0.221546 0.344733i −0.712633 0.701537i 0.752497π-0.752497\pi
0.934179 + 0.356804i 0.116134π0.116134\pi
500500 −20.5413 + 9.85104i −0.918634 + 0.440552i
501501 −0.904784 1.04418i −0.0404228 0.0466504i
502502 −2.49436 + 1.63631i −0.111329 + 0.0730322i
503503 −10.3583 22.6815i −0.461853 1.01132i −0.987061 0.160344i 0.948740π-0.948740\pi
0.525208 0.850974i 0.323987π-0.323987\pi
504504 −19.1235 + 23.3680i −0.851829 + 1.04089i
505505 34.9406i 1.55484i
506506 −2.53512 + 7.33155i −0.112700 + 0.325927i
507507 0.955750i 0.0424463i
508508 0.0868225 + 4.62417i 0.00385212 + 0.205164i
509509 −14.7254 32.2441i −0.652691 1.42919i −0.889179 0.457559i 0.848724π-0.848724\pi
0.236488 0.971634i 0.424003π-0.424003\pi
510510 −2.34154 3.56940i −0.103685 0.158055i
511511 −10.8606 12.5338i −0.480445 0.554463i
512512 5.09862 + 22.0455i 0.225329 + 0.974283i
513513 2.09127 3.25408i 0.0923319 0.143671i
514514 11.0177 + 23.5382i 0.485971 + 1.03823i
515515 −29.7707 25.7965i −1.31185 1.13673i
516516 −1.54125 + 1.38700i −0.0678496 + 0.0610593i
517517 −2.56334 + 0.368553i −0.112736 + 0.0162090i
518518 17.3910 27.6277i 0.764117 1.21389i
519519 1.03164 + 1.60526i 0.0452838 + 0.0704629i
520520 6.18396 + 19.0582i 0.271185 + 0.835756i
521521 0.527552 + 0.240925i 0.0231125 + 0.0105551i 0.426938 0.904281i 0.359592π-0.359592\pi
−0.403825 + 0.914836i 0.632320π0.632320\pi
522522 34.4273 10.4608i 1.50684 0.457856i
523523 −16.1023 + 4.72806i −0.704104 + 0.206744i −0.614135 0.789201i 0.710495π-0.710495\pi
−0.0899692 + 0.995945i 0.528677π0.528677\pi
524524 −19.0186 15.8645i −0.830831 0.693044i
525525 0.0780766 0.265904i 0.00340754 0.0116050i
526526 −13.6883 3.88006i −0.596838 0.169179i
527527 5.21778 36.2905i 0.227290 1.58084i
528528 −0.544585 1.62618i −0.0237000 0.0707706i
529529 16.9320 15.5663i 0.736172 0.676794i
530530 1.49224 1.75516i 0.0648188 0.0762393i
531531 26.2966 + 3.78088i 1.14117 + 0.164076i
532532 −10.9272 + 7.31594i −0.473755 + 0.317186i
533533 −3.79103 1.11315i −0.164208 0.0482157i
534534 −3.25958 + 0.0305979i −0.141056 + 0.00132410i
535535 −5.30160 18.0556i −0.229208 0.780612i
536536 −12.7319 25.9216i −0.549935 1.11964i
537537 0.277860 0.608429i 0.0119905 0.0262556i
538538 4.35343 + 28.3847i 0.187690 + 1.22375i
539539 −6.67637 + 4.29064i −0.287572 + 0.184811i
540540 −9.18362 + 2.88489i −0.395200 + 0.124146i
541541 −1.23736 8.60605i −0.0531984 0.370003i −0.998978 0.0451944i 0.985609π-0.985609\pi
0.945780 0.324808i 0.105300π-0.105300\pi
542542 9.06794 + 1.21701i 0.389501 + 0.0522750i
543543 −5.18812 + 5.98741i −0.222644 + 0.256945i
544544 −15.0546 + 14.3354i −0.645461 + 0.614626i
545545 −18.9894 12.2037i −0.813415 0.522750i
546546 −5.84444 2.60304i −0.250119 0.111400i
547547 −16.9263 + 14.6667i −0.723717 + 0.627104i −0.936774 0.349936i 0.886203π-0.886203\pi
0.213057 + 0.977040i 0.431658π0.431658\pi
548548 18.9277 + 2.35965i 0.808553 + 0.100799i
549549 9.32135 4.25692i 0.397826 0.181681i
550550 −0.212026 0.240100i −0.00904084 0.0102379i
551551 15.6699 0.667561
552552 −0.866936 + 5.01017i −0.0368993 + 0.213247i
553553 −60.7154 −2.58188
554554 19.3199 + 21.8779i 0.820822 + 0.929504i
555555 4.61983 2.10981i 0.196101 0.0895563i
556556 −29.4151 3.66706i −1.24748 0.155518i
557557 −1.28707 + 1.11525i −0.0545347 + 0.0472546i −0.681702 0.731630i 0.738760π-0.738760\pi
0.627167 + 0.778885i 0.284214π0.284214\pi
558558 −36.8557 16.4151i −1.56022 0.694906i
559559 7.52152 + 4.83378i 0.318126 + 0.204447i
560560 32.5439 + 3.43803i 1.37523 + 0.145283i
561561 1.03176 1.19072i 0.0435611 0.0502722i
562562 −24.2474 3.25425i −1.02282 0.137272i
563563 −0.711102 4.94582i −0.0299694 0.208442i 0.969335 0.245745i 0.0790324π-0.0790324\pi
−0.999304 + 0.0373029i 0.988123π0.988123\pi
564564 −1.61940 + 0.508707i −0.0681889 + 0.0214204i
565565 18.9913 12.2050i 0.798972 0.513468i
566566 0.383940 + 2.50332i 0.0161382 + 0.105222i
567567 −12.0277 + 26.3370i −0.505117 + 1.10605i
568568 23.2513 11.4204i 0.975605 0.479189i
569569 1.02167 + 3.47948i 0.0428305 + 0.145867i 0.978132 0.207984i 0.0666901π-0.0666901\pi
−0.935302 + 0.353851i 0.884872π0.884872\pi
570570 −2.04572 + 0.0192034i −0.0856860 + 0.000804341i
571571 −32.1866 9.45084i −1.34697 0.395506i −0.472817 0.881160i 0.656763π-0.656763\pi
−0.874151 + 0.485655i 0.838581π0.838581\pi
572572 −6.14488 + 4.11409i −0.256930 + 0.172019i
573573 −7.81438 1.12354i −0.326451 0.0469365i
574574 −4.17999 + 4.91647i −0.174470 + 0.205209i
575575 0.215494 + 0.924932i 0.00898671 + 0.0385724i
576576 10.6593 + 20.2408i 0.444137 + 0.843365i
577577 −2.41627 + 16.8056i −0.100591 + 0.699625i 0.875652 + 0.482943i 0.160432π0.160432\pi
−0.976242 + 0.216681i 0.930477π0.930477\pi
578578 4.75593 + 1.34811i 0.197821 + 0.0560739i
579579 0.0977630 0.332950i 0.00406289 0.0138369i
580580 −29.9451 24.9789i −1.24340 1.03719i
581581 19.2992 5.66674i 0.800664 0.235096i
582582 −4.05415 + 1.23186i −0.168050 + 0.0510621i
583583 0.773432 + 0.353215i 0.0320323 + 0.0146287i
584584 −11.9510 + 3.87783i −0.494535 + 0.160466i
585585 10.9514 + 17.0408i 0.452786 + 0.704550i
586586 10.8375 17.2167i 0.447693 0.711215i
587587 −19.9892 + 2.87401i −0.825041 + 0.118623i −0.541887 0.840451i 0.682290π-0.682290\pi
−0.283154 + 0.959074i 0.591381π0.591381\pi
588588 −3.86660 + 3.47964i −0.159456 + 0.143498i
589589 −13.2790 11.5063i −0.547151 0.474109i
590590 −12.2061 26.0771i −0.502518 1.07358i
591591 −1.72755 + 2.68812i −0.0710620 + 0.110575i
592592 −14.1428 20.2893i −0.581264 0.833887i
593593 −17.7814 20.5208i −0.730193 0.842688i 0.262300 0.964986i 0.415519π-0.415519\pi
−0.992493 + 0.122298i 0.960973π0.960973\pi
594594 −1.94874 2.97061i −0.0799577 0.121886i
595595 12.4894 + 27.3480i 0.512016 + 1.12116i
596596 −0.441712 23.5256i −0.0180932 0.963647i
597597 4.45432i 0.182303i
598598 21.8253 2.09039i 0.892502 0.0854823i
599599 4.57335i 0.186862i 0.995626 + 0.0934309i 0.0297834π0.0297834\pi
−0.995626 + 0.0934309i 0.970217π0.970217\pi
600600 −0.162479 0.132967i −0.00663318 0.00542835i
601601 7.98506 + 17.4848i 0.325717 + 0.713221i 0.999674 0.0255499i 0.00813368π-0.00813368\pi
−0.673956 + 0.738771i 0.735406π0.735406\pi
602602 12.2101 8.00989i 0.497646 0.326459i
603603 −19.1198 22.0654i −0.778619 0.898574i
604604 −2.27597 + 1.09149i −0.0926078 + 0.0444122i
605605 11.4821 17.8665i 0.466814 0.726377i
606606 7.65536 3.58331i 0.310978 0.145562i
607607 16.2200 + 14.0547i 0.658350 + 0.570464i 0.918654 0.395063i 0.129277π-0.129277\pi
−0.260304 + 0.965527i 0.583823π0.583823\pi
608608 1.87889 + 9.78368i 0.0761992 + 0.396781i
609609 12.3251 1.77209i 0.499440 0.0718086i
610610 −9.39873 5.91628i −0.380543 0.239543i
611611 3.95714 + 6.15743i 0.160089 + 0.249103i
612612 −11.0284 + 17.8903i −0.445798 + 0.723174i
613613 −23.9891 10.9555i −0.968912 0.442487i −0.132858 0.991135i 0.542416π-0.542416\pi
−0.836054 + 0.548648i 0.815143π0.815143\pi
614614 −0.0190577 0.0627204i −0.000769105 0.00253119i
615615 −0.963281 + 0.282845i −0.0388432 + 0.0114054i
616616 2.05482 + 11.9020i 0.0827909 + 0.479543i
617617 2.46606 8.39862i 0.0992797 0.338116i −0.894842 0.446383i 0.852712π-0.852712\pi
0.994122 + 0.108267i 0.0345302π0.0345302\pi
618618 2.59880 9.16821i 0.104539 0.368799i
619619 5.92703 41.2234i 0.238227 1.65691i −0.422560 0.906335i 0.638868π-0.638868\pi
0.660788 0.750573i 0.270222π-0.270222\pi
620620 7.03419 + 43.1561i 0.282500 + 1.73319i
621621 0.905819 + 10.4945i 0.0363492 + 0.421130i
622622 7.86301 + 6.68515i 0.315278 + 0.268050i
623623 22.7239 + 3.26720i 0.910413 + 0.130898i
624624 −3.54139 + 3.30938i −0.141769 + 0.132481i
625625 22.9997 + 6.75331i 0.919987 + 0.270133i
626626 0.296994 + 31.6386i 0.0118703 + 1.26453i
627627 −0.212726 0.724477i −0.00849544 0.0289328i
628628 9.40186 + 4.08216i 0.375175 + 0.162896i
629629 9.43893 20.6684i 0.376355 0.824102i
630630 32.7020 5.01559i 1.30288 0.199826i
631631 11.5707 7.43606i 0.460624 0.296025i −0.289674 0.957126i 0.593547π-0.593547\pi
0.750297 + 0.661101i 0.229910π0.229910\pi
632632 −17.9224 + 42.3623i −0.712914 + 1.68508i
633633 1.10125 + 7.65935i 0.0437707 + 0.304432i
634634 1.35572 10.1015i 0.0538426 0.401182i
635635 3.31848 3.82973i 0.131690 0.151978i
636636 0.537586 + 0.146946i 0.0213167 + 0.00582678i
637637 18.8696 + 12.1268i 0.747641 + 0.480480i
638638 5.85565 13.1473i 0.231827 0.520506i
639639 19.7924 17.1502i 0.782977 0.678453i
640640 12.0053 21.6916i 0.474551 0.857436i
641641 −22.0233 + 10.0577i −0.869868 + 0.397255i −0.799786 0.600286i 0.795054π-0.795054\pi
−0.0700824 + 0.997541i 0.522326π0.522326\pi
642642 3.41222 3.01324i 0.134670 0.118923i
643643 −2.43251 −0.0959288 −0.0479644 0.998849i 0.515273π-0.515273\pi
−0.0479644 + 0.998849i 0.515273π0.515273\pi
644644 11.3844 33.9521i 0.448607 1.33790i
645645 2.27182 0.0894529
646646 −6.86054 + 6.05837i −0.269924 + 0.238364i
647647 44.7251 20.4253i 1.75833 0.803001i 0.772547 0.634958i 0.218983π-0.218983\pi
0.985780 0.168043i 0.0537446π-0.0537446\pi
648648 14.8254 + 16.1663i 0.582397 + 0.635072i
649649 8.03105 6.95895i 0.315246 0.273163i
650650 −0.368338 + 0.827004i −0.0144474 + 0.0324378i
651651 −11.7458 7.54856i −0.460354 0.295851i
652652 5.15525 18.8599i 0.201895 0.738612i
653653 −1.36207 + 1.57192i −0.0533021 + 0.0615139i −0.781775 0.623561i 0.785685π-0.785685\pi
0.728472 + 0.685075i 0.240231π0.240231\pi
654654 0.726352 5.41205i 0.0284026 0.211628i
655655 3.86187 + 26.8599i 0.150896 + 1.04950i
656656 2.19643 + 4.36773i 0.0857562 + 0.170531i
657657 −10.6859 + 6.86741i −0.416897 + 0.267923i
658658 11.8164 1.81231i 0.460651 0.0706511i
659659 −7.38557 + 16.1722i −0.287701 + 0.629978i −0.997204 0.0747248i 0.976192π-0.976192\pi
0.709503 + 0.704702i 0.248919π0.248919\pi
660660 −0.748349 + 1.72357i −0.0291294 + 0.0670898i
661661 10.9719 + 37.3667i 0.426756 + 1.45340i 0.839905 + 0.542734i 0.182611π0.182611\pi
−0.413149 + 0.910663i 0.635571π0.635571\pi
662662 0.278946 + 29.7160i 0.0108415 + 1.15494i
663663 −4.27263 1.25456i −0.165935 0.0487230i
664664 1.74306 15.1381i 0.0676440 0.587473i
665665 14.2616 + 2.05051i 0.553041 + 0.0795153i
666666 −19.0494 16.1959i −0.738150 0.627577i
667667 −33.7808 + 26.0716i −1.30800 + 1.00949i
668668 7.27583 1.18592i 0.281510 0.0458845i
669669 0.745668 5.18623i 0.0288292 0.200511i
670670 −8.62934 + 30.4431i −0.333380 + 1.17612i
671671 1.15479 3.93285i 0.0445801 0.151826i
672672 2.58426 + 7.48284i 0.0996900 + 0.288657i
673673 −33.1659 + 9.73838i −1.27845 + 0.375387i −0.849331 0.527860i 0.822994π-0.822994\pi
−0.429120 + 0.903248i 0.641176π0.641176\pi
674674 −9.50273 31.2743i −0.366032 1.20464i
675675 −0.395640 0.180683i −0.0152282 0.00695448i
676676 −4.34094 2.67596i −0.166959 0.102921i
677677 −5.84218 9.09061i −0.224533 0.349380i 0.710649 0.703546i 0.248401π-0.248401\pi
−0.935183 + 0.354166i 0.884765π0.884765\pi
678678 4.62172 + 2.90926i 0.177496 + 0.111730i
679679 29.5377 4.24688i 1.13355 0.162980i
680680 22.7679 0.641322i 0.873109 0.0245936i
681681 −8.00606 6.93729i −0.306793 0.265837i
682682 −14.6161 + 6.84150i −0.559681 + 0.261975i
683683 −15.2977 + 23.8036i −0.585349 + 0.910821i 0.414651 + 0.909981i 0.363904π0.363904\pi
−1.00000 0.000840079i 0.999733π0.999733\pi
684684 4.35526 + 9.08155i 0.166528 + 0.347242i
685685 −13.6860 15.7945i −0.522915 0.603476i
686686 −0.271049 + 0.177810i −0.0103487 + 0.00678881i
687687 1.64421 + 3.60032i 0.0627306 + 0.137361i
688688 −1.98439 10.8836i −0.0756541 0.414934i
689689 2.40314i 0.0915523i
690690 4.37817 3.44506i 0.166674 0.131151i
691691 13.6014i 0.517422i −0.965955 0.258711i 0.916702π-0.916702\pi
0.965955 0.258711i 0.0832977π-0.0832977\pi
692692 −10.1794 + 0.191126i −0.386962 + 0.00726552i
693693 5.07250 + 11.1072i 0.192688 + 0.421929i
694694 10.8800 + 16.5852i 0.412998 + 0.629565i
695695 21.2690 + 24.5458i 0.806780 + 0.931074i
696696 2.40180 9.12257i 0.0910400 0.345790i
697697 −2.42829 + 3.77849i −0.0919780 + 0.143121i
698698 −3.34270 7.14132i −0.126523 0.270303i
699699 2.57595 + 2.23207i 0.0974312 + 0.0844246i
700700 0.989114 + 1.09911i 0.0373850 + 0.0415425i
701701 20.6692 2.97178i 0.780664 0.112243i 0.259550 0.965730i 0.416426π-0.416426\pi
0.521114 + 0.853487i 0.325517π0.325517\pi
702702 −5.34919 + 8.49784i −0.201892 + 0.320730i
703703 −5.88709 9.16050i −0.222036 0.345495i
704704 8.91076 + 2.07962i 0.335837 + 0.0783784i
705705 1.69174 + 0.772593i 0.0637147 + 0.0290975i
706706 −1.51397 + 0.460023i −0.0569792 + 0.0173132i
707707 −57.1178 + 16.7713i −2.14814 + 0.630750i
708708 4.46161 5.34864i 0.167678 0.201014i
709709 −14.6578 + 49.9199i −0.550486 + 1.87478i −0.0704858 + 0.997513i 0.522455π0.522455\pi
−0.480000 + 0.877269i 0.659363π0.659363\pi
710710 −27.3071 7.74041i −1.02482 0.290493i
711711 −6.61803 + 46.0294i −0.248195 + 1.72624i
712712 8.98737 14.8904i 0.336816 0.558042i
713713 47.7707 + 2.71148i 1.78903 + 0.101546i
714714 −4.71101 + 5.54104i −0.176305 + 0.207368i
715715 8.01995 + 1.15310i 0.299929 + 0.0431233i
716716 1.98547 + 2.96553i 0.0742004 + 0.110827i
717717 1.87293 + 0.549943i 0.0699460 + 0.0205380i
718718 −21.9085 + 0.205657i −0.817620 + 0.00767506i
719719 4.77265 + 16.2541i 0.177990 + 0.606177i 0.999360 + 0.0357815i 0.0113920π0.0113920\pi
−0.821370 + 0.570396i 0.806790π0.806790\pi
720720 6.15374 24.2973i 0.229336 0.905508i
721721 −27.8800 + 61.0488i −1.03831 + 2.27357i
722722 −3.40853 22.2239i −0.126852 0.827088i
723723 4.76814 3.06430i 0.177329 0.113962i
724724 −12.6684 40.3279i −0.470817 1.49878i
725725 −0.250755 1.74404i −0.00931281 0.0647721i
726726 5.09204 + 0.683403i 0.188983 + 0.0253635i
727727 21.5901 24.9163i 0.800731 0.924093i −0.197690 0.980265i 0.563344π-0.563344\pi
0.998421 + 0.0561715i 0.0178894π0.0178894\pi
728728 28.1864 19.2568i 1.04466 0.713706i
729729 16.5777 + 10.6538i 0.613989 + 0.394587i
730730 12.5755 + 5.60097i 0.465440 + 0.207301i
731731 7.68126 6.65585i 0.284102 0.246176i
732732 0.332356 2.66597i 0.0122842 0.0985371i
733733 7.07169 3.22953i 0.261199 0.119286i −0.280512 0.959851i 0.590504π-0.590504\pi
0.541711 + 0.840565i 0.317777π0.317777\pi
734734 0.765496 + 0.866853i 0.0282550 + 0.0319961i
735735 5.69943 0.210227
736736 −20.3285 17.9653i −0.749319 0.662210i
737737 −11.6785 −0.430183
738738 3.27164 + 3.70482i 0.120431 + 0.136376i
739739 −0.342533 + 0.156430i −0.0126003 + 0.00575436i −0.421705 0.906733i 0.638568π-0.638568\pi
0.409105 + 0.912487i 0.365841π0.365841\pi
740740 −3.35227 + 26.8900i −0.123232 + 0.988498i
741741 −1.61281 + 1.39751i −0.0592480 + 0.0513387i
742742 −3.58545 1.59692i −0.131626 0.0586247i
743743 2.19442 + 1.41027i 0.0805055 + 0.0517377i 0.580274 0.814421i 0.302945π-0.302945\pi
−0.499769 + 0.866159i 0.666582π0.666582\pi
744744 −8.73397 + 5.96701i −0.320203 + 0.218761i
745745 −16.8829 + 19.4839i −0.618541 + 0.713834i
746746 11.1463 + 1.49594i 0.408094 + 0.0547703i
747747 −2.19243 15.2487i −0.0802168 0.557920i
748748 2.51936 + 8.02003i 0.0921171 + 0.293241i
749749 −26.9710 + 17.3332i −0.985498 + 0.633341i
750750 0.915401 + 5.96849i 0.0334257 + 0.217938i
751751 16.6578 36.4756i 0.607853 1.33101i −0.316180 0.948699i 0.602400π-0.602400\pi
0.924033 0.382313i 0.124872π-0.124872\pi
752752 2.22356 8.77947i 0.0810849 0.320154i
753753 0.222767 + 0.758674i 0.00811808 + 0.0276476i
754754 −40.6757 + 0.381826i −1.48132 + 0.0139053i
755755 2.65362 + 0.779172i 0.0965750 + 0.0283570i
756756 9.12406 + 13.6279i 0.331839 + 0.495640i
757757 −26.3015 3.78158i −0.955943 0.137444i −0.353349 0.935492i 0.614957π-0.614957\pi
−0.602594 + 0.798048i 0.705866π0.705866\pi
758758 −18.3573 + 21.5916i −0.666766 + 0.784243i
759759 1.66397 + 1.20788i 0.0603983 + 0.0438431i
760760 5.64051 9.34529i 0.204603 0.338989i
761761 6.22185 43.2739i 0.225542 1.56868i −0.491017 0.871150i 0.663375π-0.663375\pi
0.716559 0.697527i 0.245716π-0.245716\pi
762762 1.17941 + 0.334312i 0.0427253 + 0.0121108i
763763 −10.8348 + 36.8999i −0.392245 + 1.33587i
764764 26.9821 32.3466i 0.976180 1.17026i
765765 22.0943 6.48748i 0.798822 0.234555i
766766 3.05945 0.929617i 0.110542 0.0335884i
767767 −27.3201 12.4767i −0.986473 0.450507i
768768 5.98375 + 0.405752i 0.215920 + 0.0146413i
769769 −18.0559 28.0956i −0.651113 1.01315i −0.997188 0.0749451i 0.976122π-0.976122\pi
0.346074 0.938207i 0.387515π-0.387515\pi
770770 7.04977 11.1994i 0.254056 0.403599i
771771 6.81843 0.980342i 0.245560 0.0353062i
772772 1.23851 + 1.37624i 0.0445750 + 0.0495321i
773773 −29.6254 25.6706i −1.06555 0.923306i −0.0683198 0.997663i 0.521764π-0.521764\pi
−0.997232 + 0.0743579i 0.976309π0.976309\pi
774774 −4.74152 10.1298i −0.170431 0.364107i
775775 −1.06814 + 1.66206i −0.0383688 + 0.0597030i
776776 5.75602 21.8626i 0.206629 0.784823i
777777 −5.66642 6.53940i −0.203282 0.234600i
778778 −6.53020 9.95448i −0.234119 0.356886i
779779 0.894181 + 1.95798i 0.0320374 + 0.0701520i
780780 5.30978 0.0996955i 0.190121 0.00356967i
781781 10.4755i 0.374842i
782782 4.70988 24.4750i 0.168425 0.875225i
783783 19.5427i 0.698400i
784784 −4.97833 27.3043i −0.177798 0.975153i
785785 −4.66529 10.2156i −0.166511 0.364609i
786786 −5.48887 + 3.60073i −0.195781 + 0.128434i
787787 24.5886 + 28.3768i 0.876490 + 1.01152i 0.999816 + 0.0191574i 0.00609838π0.00609838\pi
−0.123326 + 0.992366i 0.539356π0.539356\pi
788788 −7.37235 15.3728i −0.262629 0.547632i
789789 −2.03880 + 3.17244i −0.0725833 + 0.112942i
790790 45.6452 21.3655i 1.62398 0.760152i
791791 −29.0674 25.1871i −1.03352 0.895549i
792792 9.24705 0.260469i 0.328580 0.00925538i
793793 −11.4669 + 1.64869i −0.407200 + 0.0585466i
794794 −4.03223 2.53819i −0.143098 0.0900770i
795795 −0.330129 0.513691i −0.0117085 0.0182187i
796796 −20.2312 12.4714i −0.717075 0.442038i
797797 30.2453 + 13.8126i 1.07134 + 0.489266i 0.871416 0.490545i 0.163202π-0.163202\pi
0.199927 + 0.979811i 0.435930π0.435930\pi
798798 1.01333 + 3.33496i 0.0358715 + 0.118056i
799799 7.98345 2.34415i 0.282434 0.0829302i
800800 1.05884 0.365680i 0.0374357 0.0129287i
801801 4.95384 16.8712i 0.175035 0.596115i
802802 −6.03642 + 21.2956i −0.213153 + 0.751975i
803803 −0.723081 + 5.02914i −0.0255170 + 0.177474i
804804 −7.55495 + 1.23141i −0.266443 + 0.0434286i
805805 −34.1564 + 19.3079i −1.20385 + 0.680515i
806806 34.7497 + 29.5443i 1.22401 + 1.04065i
807807 7.53398 + 1.08322i 0.265209 + 0.0381313i
808808 −5.15878 + 44.8028i −0.181485 + 1.57616i
809809 −21.3600 6.27186i −0.750977 0.220507i −0.116225 0.993223i 0.537079π-0.537079\pi
−0.634752 + 0.772716i 0.718898π0.718898\pi
810810 −0.225594 24.0324i −0.00792657 0.844413i
811811 10.2056 + 34.7572i 0.358368 + 1.22049i 0.919608 + 0.392837i 0.128506π0.128506\pi
−0.561240 + 0.827653i 0.689676π0.689676\pi
812812 −26.4599 + 60.9414i −0.928560 + 2.13862i
813813 1.00740 2.20590i 0.0353311 0.0773643i
814814 −9.88572 + 1.51620i −0.346494 + 0.0531426i
815815 −18.0216 + 11.5818i −0.631270 + 0.405693i
816816 2.47546 + 4.92260i 0.0866584 + 0.172325i
817817 −0.693197 4.82129i −0.0242519 0.168676i
818818 −3.88077 + 28.9157i −0.135688 + 1.01101i
819819 22.6001 26.0820i 0.789713 0.911377i
820820 1.41239 5.16707i 0.0493227 0.180442i
821821 8.19631 + 5.26745i 0.286053 + 0.183835i 0.675796 0.737088i 0.263800π-0.263800\pi
−0.389743 + 0.920924i 0.627436π0.627436\pi
822822 2.05696 4.61835i 0.0717447 0.161084i
823823 28.9373 25.0743i 1.00869 0.874036i 0.0166394 0.999862i 0.494703π-0.494703\pi
0.992052 + 0.125825i 0.0401578π0.0401578\pi
824824 34.3650 + 37.4732i 1.19716 + 1.30544i
825825 −0.0772292 + 0.0352694i −0.00268877 + 0.00122792i
826826 −36.7697 + 32.4704i −1.27938 + 1.12979i
827827 14.2948 0.497077 0.248539 0.968622i 0.420050π-0.420050\pi
0.248539 + 0.968622i 0.420050π0.420050\pi
828828 −24.4988 12.3315i −0.851392 0.428549i
829829 17.8480 0.619887 0.309944 0.950755i 0.399690π-0.399690\pi
0.309944 + 0.950755i 0.399690π0.399690\pi
830830 −12.5148 + 11.0515i −0.434395 + 0.383603i
831831 7.03712 3.21375i 0.244115 0.111484i
832832 −5.11559 25.3505i −0.177351 0.878871i
833833 19.2704 16.6979i 0.667679 0.578547i
834834 −3.19666 + 7.17725i −0.110691 + 0.248528i
835835 −6.79490 4.36682i −0.235147 0.151120i
836836 3.88612 + 1.06225i 0.134404 + 0.0367385i
837837 −14.3501 + 16.5609i −0.496012 + 0.572428i
838838 1.88291 14.0296i 0.0650442 0.484645i
839839 2.11741 + 14.7269i 0.0731011 + 0.508430i 0.993170 + 0.116674i 0.0372232π0.0372232\pi
−0.920069 + 0.391756i 0.871868π0.871868\pi
840840 3.37968 7.98838i 0.116610 0.275625i
841841 42.2042 27.1230i 1.45532 0.935276i
842842 −26.2085 + 4.01967i −0.903206 + 0.138527i
843843 −2.69376 + 5.89852i −0.0927781 + 0.203156i
844844 −37.8715 16.4433i −1.30359 0.566001i
845845 1.57413 + 5.36100i 0.0541518 + 0.184424i
846846 −0.0859457 9.15574i −0.00295487 0.314781i
847847 −34.7180 10.1941i −1.19292 0.350274i
848848 −2.17258 + 2.03025i −0.0746066 + 0.0697189i
849849 0.664441 + 0.0955322i 0.0228036 + 0.00327866i
850850 0.784073 + 0.666621i 0.0268935 + 0.0228649i
851851 27.9324 + 9.95304i 0.957511 + 0.341186i
852852 −1.10456 6.77670i −0.0378417 0.232166i
853853 2.41211 16.7766i 0.0825892 0.574421i −0.905942 0.423402i 0.860836π-0.860836\pi
0.988531 0.151018i 0.0482552π-0.0482552\pi
854854 −5.16007 + 18.2040i −0.176574 + 0.622928i
855855 3.10905 10.5884i 0.106327 0.362117i
856856 4.13221 + 23.9347i 0.141236 + 0.818070i
857857 29.5877 8.68772i 1.01070 0.296767i 0.265857 0.964012i 0.414345π-0.414345\pi
0.744838 + 0.667246i 0.232527π0.232527\pi
858858 0.569842 + 1.87540i 0.0194541 + 0.0640251i
859859 −25.1115 11.4680i −0.856792 0.391284i −0.0619346 0.998080i 0.519727π-0.519727\pi
−0.794857 + 0.606797i 0.792454π0.792454\pi
860860 −6.36077 + 10.3184i −0.216900 + 0.351856i
861861 0.924741 + 1.43892i 0.0315151 + 0.0490384i
862862 −3.39214 2.13527i −0.115537 0.0727276i
863863 −43.5095 + 6.25573i −1.48108 + 0.212947i −0.834970 0.550296i 0.814515π-0.814515\pi
−0.646112 + 0.763243i 0.723606π0.723606\pi
864864 12.2017 2.34326i 0.415110 0.0797193i
865865 8.43054 + 7.30511i 0.286647 + 0.248381i
866866 23.7017 11.0943i 0.805418 0.376999i
867867 0.708372 1.10225i 0.0240576 0.0374343i
868868 67.1714 32.2136i 2.27995 1.09340i
869869 12.1809 + 14.0575i 0.413209 + 0.476869i
870870 −8.64231 + 5.66941i −0.293002 + 0.192211i
871871 13.7117 + 30.0245i 0.464603 + 1.01734i
872872 22.5474 + 18.4520i 0.763552 + 0.624863i
873873 22.8560i 0.773557i
874874 −8.64706 8.24021i −0.292491 0.278729i
875875 42.5263i 1.43765i
876876 0.0625169 + 3.32965i 0.00211225 + 0.112498i
877877 −20.7018 45.3307i −0.699051 1.53071i −0.841118 0.540852i 0.818102π-0.818102\pi
0.142066 0.989857i 0.454625π-0.454625\pi
878878 −2.36770 3.60927i −0.0799061 0.121807i
879879 −3.53113 4.07514i −0.119102 0.137451i
880880 −5.73304 8.22468i −0.193261 0.277254i
881881 7.62978 11.8722i 0.257054 0.399984i −0.688609 0.725133i 0.741778π-0.741778\pi
0.945663 + 0.325149i 0.105415π0.105415\pi
882882 −11.8953 25.4131i −0.400536 0.855702i
883883 17.3903 + 15.0687i 0.585229 + 0.507104i 0.896397 0.443251i 0.146175π-0.146175\pi
−0.311169 + 0.950355i 0.600720π0.600720\pi
884884 17.6608 15.8934i 0.593998 0.534552i
885885 −7.55388 + 1.08608i −0.253921 + 0.0365083i
886886 −13.0596 + 20.7468i −0.438746 + 0.697002i
887887 −10.8614 16.9006i −0.364689 0.567468i 0.609616 0.792697i 0.291323π-0.291323\pi
−0.974306 + 0.225229i 0.927687π0.927687\pi
888888 −6.23531 + 2.02322i −0.209243 + 0.0678949i
889889 −7.85336 3.58651i −0.263393 0.120288i
890890 −18.2333 + 5.54020i −0.611181 + 0.185708i
891891 8.51088 2.49902i 0.285125 0.0837204i
892892 21.4677 + 17.9075i 0.718792 + 0.599586i
893893 1.12341 3.82598i 0.0375934 0.128031i
894894 −6.00027 1.70082i −0.200679 0.0568841i
895895 0.556486 3.87044i 0.0186013 0.129375i
896896 −41.2220 9.21336i −1.37713 0.307797i
897897 1.15169 5.69609i 0.0384537 0.190187i
898898 −0.244224 + 0.287255i −0.00814988 + 0.00958581i
899899 −87.8675 12.6334i −2.93054 0.421349i
900900 0.941069 0.630060i 0.0313690 0.0210020i
901901 −2.62118 0.769648i −0.0873242 0.0256407i
902902 1.97692 0.0185575i 0.0658242 0.000617897i
903903 −1.09046 3.71378i −0.0362884 0.123587i
904904 −26.1538 + 12.8460i −0.869862 + 0.427251i
905905 −19.2399 + 42.1296i −0.639557 + 1.40043i
906906 0.101426 + 0.661306i 0.00336966 + 0.0219704i
907907 3.20468 2.05952i 0.106410 0.0683853i −0.486354 0.873762i 0.661673π-0.661673\pi
0.592763 + 0.805377i 0.298037π0.298037\pi
908908 53.9244 16.9395i 1.78954 0.562157i
909909 6.48872 + 45.1301i 0.215217 + 1.49687i
910910 −37.0699 4.97516i −1.22886 0.164925i
911911 13.7808 15.9039i 0.456580 0.526921i −0.480050 0.877241i 0.659382π-0.659382\pi
0.936630 + 0.350320i 0.113927π0.113927\pi
912912 2.62598 + 0.277416i 0.0869549 + 0.00918616i
913913 −5.18388 3.33148i −0.171561 0.110256i
914914 37.6363 + 16.7628i 1.24490 + 0.554463i
915915 −2.22465 + 1.92767i −0.0735447 + 0.0637268i
916916 −20.9559 2.61249i −0.692404 0.0863191i
917917 42.0546 19.2057i 1.38877 0.634228i
918918 7.55569 + 8.55612i 0.249375 + 0.282394i
919919 −5.41672 −0.178681 −0.0893406 0.996001i 0.528476π-0.528476\pi
−0.0893406 + 0.996001i 0.528476π0.528476\pi
920920 3.38899 + 29.5310i 0.111732 + 0.973607i
921921 −0.0173748 −0.000572519
922922 −8.33961 9.44383i −0.274650 0.311016i
923923 −26.9316 + 12.2992i −0.886464 + 0.404834i
924924 3.17674 + 0.396032i 0.104507 + 0.0130285i
925925 −0.925343 + 0.801814i −0.0304251 + 0.0263635i
926926 −14.3278 6.38142i −0.470840 0.209706i
927927 43.2432 + 27.7907i 1.42029 + 0.912766i
928928 34.7093 + 36.4506i 1.13939 + 1.19655i
929929 −7.06195 + 8.14992i −0.231695 + 0.267390i −0.859677 0.510837i 0.829335π-0.829335\pi
0.627983 + 0.778227i 0.283881π0.283881\pi
930930 11.4867 + 1.54163i 0.376663 + 0.0505519i
931931 −1.73906 12.0954i −0.0569953 0.396411i
932932 −17.3502 + 5.45027i −0.568323 + 0.178530i
933933 2.30130 1.47896i 0.0753412 0.0484188i
934934 7.40837 + 48.3031i 0.242409 + 1.58053i
935935 3.82625 8.37832i 0.125132 0.274000i
936936 −11.5266 23.4676i −0.376758 0.767062i
937937 10.1361 + 34.5205i 0.331133 + 1.12773i 0.941891 + 0.335917i 0.109046π0.109046\pi
−0.610759 + 0.791817i 0.709136π0.709136\pi
938938 53.9077 0.506036i 1.76015 0.0165227i
939939 8.04662 + 2.36270i 0.262591 + 0.0771038i
940940 −8.24568 + 5.52061i −0.268945 + 0.180063i
941941 −38.2159 5.49462i −1.24580 0.179120i −0.512301 0.858806i 0.671207π-0.671207\pi
−0.733503 + 0.679687i 0.762116π0.762116\pi
942942 1.75975 2.06980i 0.0573357 0.0674377i
943943 −5.18533 2.73323i −0.168858 0.0890063i
944944 11.8012 + 35.2397i 0.384098 + 1.14695i
945945 2.55729 17.7863i 0.0831886 0.578589i
946946 −4.30417 1.22005i −0.139941 0.0396673i
947947 14.4334 49.1557i 0.469023 1.59735i −0.297229 0.954806i 0.596062π-0.596062\pi
0.766252 0.642540i 0.222119π-0.222119\pi
948948 9.36223 + 7.80958i 0.304071 + 0.253643i
949949 13.7785 4.04572i 0.447268 0.131330i
950950 0.471905 0.143389i 0.0153106 0.00465215i
951951 −2.45733 1.12222i −0.0796842 0.0363906i
952952 −11.9769 36.9111i −0.388172 1.19630i
953953 −11.8788 18.4837i −0.384790 0.598746i 0.593788 0.804622i 0.297632π-0.297632\pi
−0.978578 + 0.205876i 0.933996π0.933996\pi
954954 −1.60147 + 2.54413i −0.0518494 + 0.0823692i
955955 −45.6830 + 6.56823i −1.47827 + 0.212543i
956956 −7.74174 + 6.96696i −0.250386 + 0.225328i
957957 −2.88300 2.49813i −0.0931941 0.0807532i
958958 17.4727 + 37.3285i 0.564516 + 1.20603i
959959 −19.2502 + 29.9540i −0.621623 + 0.967264i
960960 −4.57600 4.71613i −0.147690 0.152212i
961961 44.8832 + 51.7980i 1.44785 + 1.67090i
962962 15.5048 + 23.6352i 0.499895 + 0.762029i
963963 10.2007 + 22.3365i 0.328714 + 0.719783i
964964 0.567707 + 30.2361i 0.0182846 + 0.973839i
965965 2.02860i 0.0653031i
966966 −7.73319 5.50343i −0.248811 0.177070i
967967 57.4779i 1.84836i −0.381952 0.924182i 0.624748π-0.624748\pi
0.381952 0.924182i 0.375252π-0.375252\pi
968968 −17.3609 + 21.2142i −0.558001 + 0.681850i
969969 1.00778 + 2.20672i 0.0323744 + 0.0708901i
970970 −20.7117 + 13.5870i −0.665012 + 0.436251i
971971 14.7913 + 17.0701i 0.474675 + 0.547804i 0.941706 0.336437i 0.109222π-0.109222\pi
−0.467031 + 0.884241i 0.654676π0.654676\pi
972972 17.1249 8.21261i 0.549280 0.263420i
973973 29.9163 46.5506i 0.959072 1.49234i
974974 24.7315 11.5763i 0.792449 0.370928i
975975 0.181349 + 0.157140i 0.00580783 + 0.00503251i
976976 11.1781 + 8.97386i 0.357802 + 0.287246i
977977 11.7808 1.69383i 0.376903 0.0541904i 0.0487397 0.998812i 0.484480π-0.484480\pi
0.328163 + 0.944621i 0.393570π0.393570\pi
978978 −4.38573 2.76072i −0.140240 0.0882779i
979979 −3.80247 5.91676i −0.121528 0.189101i
980980 −15.9576 + 25.8864i −0.509746 + 0.826910i
981981 26.7934 + 12.2361i 0.855448 + 0.390670i
982982 −4.40497 14.4971i −0.140568 0.462622i
983983 −36.5695 + 10.7378i −1.16639 + 0.342482i −0.806911 0.590673i 0.798862π-0.798862\pi
−0.359475 + 0.933155i 0.617044π0.617044\pi
984984 1.27693 0.220457i 0.0407072 0.00702791i
985985 −5.26283 + 17.9236i −0.167688 + 0.571092i
986986 −12.6107 + 44.4886i −0.401605 + 1.41681i
987987 0.450940 3.13635i 0.0143536 0.0998313i
988988 −1.83174 11.2381i −0.0582754 0.357531i
989989 9.51601 + 9.24027i 0.302592 + 0.293823i
990990 −7.72204 6.56530i −0.245423 0.208659i
991991 11.4588 + 1.64753i 0.364002 + 0.0523356i 0.321889 0.946777i 0.395682π-0.395682\pi
0.0421126 + 0.999113i 0.486591π0.486591\pi
992992 −2.64788 56.3757i −0.0840704 1.78993i
993993 7.55763 + 2.21912i 0.239834 + 0.0704216i
994994 0.453908 + 48.3546i 0.0143971 + 1.53372i
995995 7.33632 + 24.9852i 0.232577 + 0.792085i
996996 −3.70479 1.60857i −0.117391 0.0509694i
997997 16.0331 35.1076i 0.507773 1.11187i −0.466091 0.884737i 0.654338π-0.654338\pi
0.973864 0.227132i 0.0729348π-0.0729348\pi
998998 12.7959 1.96254i 0.405048 0.0621232i
999999 −11.4245 + 7.34208i −0.361455 + 0.232293i
Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 92.2.h.a.15.7 yes 100
3.2 odd 2 828.2.u.a.199.4 100
4.3 odd 2 inner 92.2.h.a.15.3 100
12.11 even 2 828.2.u.a.199.8 100
23.20 odd 22 inner 92.2.h.a.43.3 yes 100
69.20 even 22 828.2.u.a.595.8 100
92.43 even 22 inner 92.2.h.a.43.7 yes 100
276.227 odd 22 828.2.u.a.595.4 100
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
92.2.h.a.15.3 100 4.3 odd 2 inner
92.2.h.a.15.7 yes 100 1.1 even 1 trivial
92.2.h.a.43.3 yes 100 23.20 odd 22 inner
92.2.h.a.43.7 yes 100 92.43 even 22 inner
828.2.u.a.199.4 100 3.2 odd 2
828.2.u.a.199.8 100 12.11 even 2
828.2.u.a.595.4 100 276.227 odd 22
828.2.u.a.595.8 100 69.20 even 22