Properties

Label 197.4.h.a.4.6
Level 197197
Weight 44
Character 197.4
Analytic conductor 11.62311.623
Analytic rank 00
Dimension 20162016
Inner twists 22

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [197,4,Mod(4,197)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(197, base_ring=CyclotomicField(98))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("197.4");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: N N == 197 197
Weight: k k == 4 4
Character orbit: [χ][\chi] == 197.h (of order 9898, degree 4242, 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: 11.623376271111.6233762711
Analytic rank: 00
Dimension: 20162016
Relative dimension: 4848 over Q(ζ98)\Q(\zeta_{98})
Twist minimal: yes
Sato-Tate group: SU(2)[C98]\mathrm{SU}(2)[C_{98}]

Embedding invariants

Embedding label 4.6
Character χ\chi == 197.4
Dual form 197.4.h.a.148.6

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+(4.652310.149190i)q2+(0.2039460.106399i)q3+(13.6382+0.875598i)q4+(0.723623+0.214768i)q5+(0.964694+0.464572i)q6+(0.2223426.93345i)q7+(26.25272.53257i)q8+(15.4169+22.1013i)q9+(3.398560.891207i)q10+(10.923114.6360i)q11+(2.874611.27250i)q12+(34.1828+35.2966i)q13+32.2897iq14+(0.124729+0.120793i)q15+(13.3257+1.71816i)q16+(43.8584108.331i)q17+(75.0214100.522i)q18+(4.4006219.2804i)q19+(10.0569+2.29543i)q20+(0.7830551.39039i)q21+(48.6342+69.7207i)q22+(2.09296+1.78176i)q23+(5.62360+2.27674i)q24+(104.284+67.8810i)q25+(153.763169.310i)q26+(1.58690+12.3077i)q27+(3.0385894.7541i)q28+(0.2233110.504464i)q29+(0.5983000.543360i)q30+(49.7989+255.707i)q31+(146.553+23.6936i)q32+(3.784971.82275i)q33+(220.205+497.446i)q34+(1.64997+4.96945i)q35+(229.610+287.921i)q36+(159.502+20.5655i)q37+(23.3495+89.0417i)q38+(10.7270+3.56160i)q39+(19.54103.80561i)q40+(431.046174.511i)q41+(3.43558+6.58536i)q42+(382.124+285.187i)q43+(136.156209.172i)q44+(6.4093819.3040i)q45+(9.471278.60156i)q46+(313.132+516.544i)q47+(2.900531.06742i)q48+(294.27218.8929i)q49+(495.286300.245i)q50+(2.5815226.7601i)q51+(435.285+511.311i)q52+(363.642+400.410i)q53+(9.2189257.0223i)q54+(11.0476+8.24501i)q55+(11.7223+182.585i)q56+(1.153914.40038i)q57+(0.963652+2.38024i)q58+(2.00254+0.525127i)q59+(1.80684+1.53819i)q60+(16.934232.4598i)q61+(193.5311197.06i)q62+(156.666+101.978i)q63+(783.782152.642i)q64+(32.316118.2001i)q65+(17.3369+9.04466i)q66+(345.982+209.736i)q67+(693.0011439.03i)q68+(0.616428+0.140696i)q69+(6.9347923.3656i)q70+(178.711124.661i)q71+(460.708541.174i)q72+(39.4844+306.233i)q73+(745.12171.8809i)q74+(14.0458+24.9397i)q75+(76.8982259.096i)q76+(99.0492+78.9891i)q77+(49.373818.1700i)q78+(272.938+81.0065i)q79+(10.0118+1.61863i)q80+(250.292680.124i)q81+(1979.32+876.188i)q82+(133.553585.134i)q83+(9.4619919.6480i)q84+(8.47094+87.8102i)q85+(1820.311269.77i)q86+(0.09921770.0791235i)q87+(249.695+411.898i)q88+(26.1044134.041i)q89+(32.6984+88.8521i)q90+(237.127244.853i)q91+(26.9840+26.1325i)q92+(37.3631+46.8519i)q93+(1533.852356.41i)q94+(0.956409+14.8968i)q95+(32.409910.7608i)q96+(1438.55+810.177i)q97+(1371.86+43.9930i)q98+(491.87415.7734i)q99+O(q100)q+(-4.65231 - 0.149190i) q^{2} +(0.203946 - 0.106399i) q^{3} +(13.6382 + 0.875598i) q^{4} +(-0.723623 + 0.214768i) q^{5} +(-0.964694 + 0.464572i) q^{6} +(-0.222342 - 6.93345i) q^{7} +(-26.2527 - 2.53257i) q^{8} +(-15.4169 + 22.1013i) q^{9} +(3.39856 - 0.891207i) q^{10} +(-10.9231 - 14.6360i) q^{11} +(2.87461 - 1.27250i) q^{12} +(34.1828 + 35.2966i) q^{13} +32.2897i q^{14} +(-0.124729 + 0.120793i) q^{15} +(13.3257 + 1.71816i) q^{16} +(43.8584 - 108.331i) q^{17} +(75.0214 - 100.522i) q^{18} +(4.40062 - 19.2804i) q^{19} +(-10.0569 + 2.29543i) q^{20} +(-0.783055 - 1.39039i) q^{21} +(48.6342 + 69.7207i) q^{22} +(2.09296 + 1.78176i) q^{23} +(-5.62360 + 2.27674i) q^{24} +(-104.284 + 67.8810i) q^{25} +(-153.763 - 169.310i) q^{26} +(-1.58690 + 12.3077i) q^{27} +(3.03858 - 94.7541i) q^{28} +(-0.223311 - 0.504464i) q^{29} +(0.598300 - 0.543360i) q^{30} +(49.7989 + 255.707i) q^{31} +(146.553 + 23.6936i) q^{32} +(-3.78497 - 1.82275i) q^{33} +(-220.205 + 497.446i) q^{34} +(1.64997 + 4.96945i) q^{35} +(-229.610 + 287.921i) q^{36} +(-159.502 + 20.5655i) q^{37} +(-23.3495 + 89.0417i) q^{38} +(10.7270 + 3.56160i) q^{39} +(19.5410 - 3.80561i) q^{40} +(-431.046 - 174.511i) q^{41} +(3.43558 + 6.58536i) q^{42} +(-382.124 + 285.187i) q^{43} +(-136.156 - 209.172i) q^{44} +(6.40938 - 19.3040i) q^{45} +(-9.47127 - 8.60156i) q^{46} +(-313.132 + 516.544i) q^{47} +(2.90053 - 1.06742i) q^{48} +(294.272 - 18.8929i) q^{49} +(495.286 - 300.245i) q^{50} +(-2.58152 - 26.7601i) q^{51} +(435.285 + 511.311i) q^{52} +(-363.642 + 400.410i) q^{53} +(9.21892 - 57.0223i) q^{54} +(11.0476 + 8.24501i) q^{55} +(-11.7223 + 182.585i) q^{56} +(-1.15391 - 4.40038i) q^{57} +(0.963652 + 2.38024i) q^{58} +(2.00254 + 0.525127i) q^{59} +(-1.80684 + 1.53819i) q^{60} +(16.9342 - 32.4598i) q^{61} +(-193.531 - 1197.06i) q^{62} +(156.666 + 101.978i) q^{63} +(-783.782 - 152.642i) q^{64} +(-32.3161 - 18.2001i) q^{65} +(17.3369 + 9.04466i) q^{66} +(345.982 + 209.736i) q^{67} +(693.001 - 1439.03i) q^{68} +(0.616428 + 0.140696i) q^{69} +(-6.93479 - 23.3656i) q^{70} +(-178.711 - 124.661i) q^{71} +(460.708 - 541.174i) q^{72} +(39.4844 + 306.233i) q^{73} +(745.121 - 71.8809i) q^{74} +(-14.0458 + 24.9397i) q^{75} +(76.8982 - 259.096i) q^{76} +(-99.0492 + 78.9891i) q^{77} +(-49.3738 - 18.1700i) q^{78} +(272.938 + 81.0065i) q^{79} +(-10.0118 + 1.61863i) q^{80} +(-250.292 - 680.124i) q^{81} +(1979.32 + 876.188i) q^{82} +(-133.553 - 585.134i) q^{83} +(-9.46199 - 19.6480i) q^{84} +(-8.47094 + 87.8102i) q^{85} +(1820.31 - 1269.77i) q^{86} +(-0.0992177 - 0.0791235i) q^{87} +(249.695 + 411.898i) q^{88} +(26.1044 - 134.041i) q^{89} +(-32.6984 + 88.8521i) q^{90} +(237.127 - 244.853i) q^{91} +(26.9840 + 26.1325i) q^{92} +(37.3631 + 46.8519i) q^{93} +(1533.85 - 2356.41i) q^{94} +(0.956409 + 14.8968i) q^{95} +(32.4099 - 10.7608i) q^{96} +(-1438.55 + 810.177i) q^{97} +(-1371.86 + 43.9930i) q^{98} +(491.874 - 15.7734i) q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 2016q42q242q342q5119q698q842q9252q10140q11+14q1242q131722q15+168q1642q17+147q18567q1949q2042q21+14763q99+O(q100) 2016 q - 42 q^{2} - 42 q^{3} - 42 q^{5} - 119 q^{6} - 98 q^{8} - 42 q^{9} - 252 q^{10} - 140 q^{11} + 14 q^{12} - 42 q^{13} - 1722 q^{15} + 168 q^{16} - 42 q^{17} + 147 q^{18} - 567 q^{19} - 49 q^{20} - 42 q^{21}+ \cdots - 14763 q^{99}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/197Z)×\left(\mathbb{Z}/197\mathbb{Z}\right)^\times.

nn 22
χ(n)\chi(n) e(198)e\left(\frac{1}{98}\right)

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 −4.65231 0.149190i −1.64484 0.0527468i −0.804206 0.594351i 0.797409π-0.797409\pi
−0.840634 + 0.541604i 0.817817π0.817817\pi
33 0.203946 0.106399i 0.0392494 0.0204764i −0.442800 0.896620i 0.646015π-0.646015\pi
0.482050 + 0.876144i 0.339892π0.339892\pi
44 13.6382 + 0.875598i 1.70477 + 0.109450i
55 −0.723623 + 0.214768i −0.0647228 + 0.0192094i −0.316727 0.948517i 0.602584π-0.602584\pi
0.252004 + 0.967726i 0.418910π0.418910\pi
66 −0.964694 + 0.464572i −0.0656391 + 0.0316101i
77 −0.222342 6.93345i −0.0120054 0.374371i −0.987804 0.155701i 0.950236π-0.950236\pi
0.975799 0.218670i 0.0701718π-0.0701718\pi
88 −26.2527 2.53257i −1.16022 0.111925i
99 −15.4169 + 22.1013i −0.570995 + 0.818565i
1010 3.39856 0.891207i 0.107472 0.0281825i
1111 −10.9231 14.6360i −0.299404 0.401174i 0.626203 0.779660i 0.284608π-0.284608\pi
−0.925607 + 0.378486i 0.876445π0.876445\pi
1212 2.87461 1.27250i 0.0691524 0.0306117i
1313 34.1828 + 35.2966i 0.729278 + 0.753039i 0.976406 0.215944i 0.0692827π-0.0692827\pi
−0.247128 + 0.968983i 0.579487π0.579487\pi
1414 32.2897i 0.616414i
1515 −0.124729 + 0.120793i −0.00214700 + 0.00207925i
1616 13.3257 + 1.71816i 0.208214 + 0.0268462i
1717 43.8584 108.331i 0.625718 1.54554i −0.199004 0.979999i 0.563771π-0.563771\pi
0.824722 0.565538i 0.191331π-0.191331\pi
1818 75.0214 100.522i 0.982372 1.31629i
1919 4.40062 19.2804i 0.0531354 0.232801i −0.941387 0.337330i 0.890476π-0.890476\pi
0.994522 + 0.104529i 0.0333334π0.0333334\pi
2020 −10.0569 + 2.29543i −0.112440 + 0.0256637i
2121 −0.783055 1.39039i −0.00813698 0.0144480i
2222 48.6342 + 69.7207i 0.471311 + 0.675660i
2323 2.09296 + 1.78176i 0.0189744 + 0.0161532i 0.657665 0.753310i 0.271544π-0.271544\pi
−0.638691 + 0.769463i 0.720524π0.720524\pi
2424 −5.62360 + 2.27674i −0.0478297 + 0.0193641i
2525 −104.284 + 67.8810i −0.834268 + 0.543048i
2626 −153.763 169.310i −1.15982 1.27710i
2727 −1.58690 + 12.3077i −0.0113111 + 0.0877263i
2828 3.03858 94.7541i 0.0205085 0.639530i
2929 −0.223311 0.504464i −0.00142993 0.00323023i 0.913696 0.406398i 0.133215π-0.133215\pi
−0.915126 + 0.403168i 0.867909π0.867909\pi
3030 0.598300 0.543360i 0.00364114 0.00330678i
3131 49.7989 + 255.707i 0.288521 + 1.48149i 0.788274 + 0.615325i 0.210975π0.210975\pi
−0.499753 + 0.866168i 0.666576π0.666576\pi
3232 146.553 + 23.6936i 0.809600 + 0.130890i
3333 −3.78497 1.82275i −0.0199660 0.00961514i
3434 −220.205 + 497.446i −1.11073 + 2.50915i
3535 1.64997 + 4.96945i 0.00796846 + 0.0239997i
3636 −229.610 + 287.921i −1.06301 + 1.33297i
3737 −159.502 + 20.5655i −0.708702 + 0.0913770i −0.473788 0.880639i 0.657114π-0.657114\pi
−0.234914 + 0.972016i 0.575481π0.575481\pi
3838 −23.3495 + 89.0417i −0.0996786 + 0.380118i
3939 10.7270 + 3.56160i 0.0440433 + 0.0146234i
4040 19.5410 3.80561i 0.0772426 0.0150430i
4141 −431.046 174.511i −1.64191 0.664734i −0.646719 0.762729i 0.723859π-0.723859\pi
−0.995187 + 0.0979948i 0.968757π0.968757\pi
4242 3.43558 + 6.58536i 0.0126219 + 0.0241939i
4343 −382.124 + 285.187i −1.35520 + 1.01141i −0.358224 + 0.933636i 0.616618π0.616618\pi
−0.996971 + 0.0777727i 0.975219π0.975219\pi
4444 −136.156 209.172i −0.466506 0.716679i
4545 6.40938 19.3040i 0.0212323 0.0639483i
4646 −9.47127 8.60156i −0.0303579 0.0275702i
4747 −313.132 + 516.544i −0.971809 + 1.60310i −0.187934 + 0.982182i 0.560179π0.560179\pi
−0.783875 + 0.620919i 0.786760π0.786760\pi
4848 2.90053 1.06742i 0.00872199 0.00320977i
4949 294.272 18.8929i 0.857936 0.0550813i
5050 495.286 300.245i 1.40088 0.849222i
5151 −2.58152 26.7601i −0.00708794 0.0734739i
5252 435.285 + 511.311i 1.16083 + 1.36358i
5353 −363.642 + 400.410i −0.942454 + 1.03775i 0.0567716 + 0.998387i 0.481919π0.481919\pi
−0.999225 + 0.0393589i 0.987468π0.987468\pi
5454 9.21892 57.0223i 0.0232322 0.143699i
5555 11.0476 + 8.24501i 0.0270846 + 0.0202138i
5656 −11.7223 + 182.585i −0.0279726 + 0.435696i
5757 −1.15391 4.40038i −0.00268140 0.0102253i
5858 0.963652 + 2.38024i 0.00218162 + 0.00538863i
5959 2.00254 + 0.525127i 0.00441878 + 0.00115874i 0.255863 0.966713i 0.417640π-0.417640\pi
−0.251445 + 0.967872i 0.580906π0.580906\pi
6060 −1.80684 + 1.53819i −0.00388770 + 0.00330965i
6161 16.9342 32.4598i 0.0355444 0.0681319i −0.868172 0.496263i 0.834705π-0.834705\pi
0.903717 + 0.428131i 0.140828π0.140828\pi
6262 −193.531 1197.06i −0.396426 2.45204i
6363 156.666 + 101.978i 0.313302 + 0.203937i
6464 −783.782 152.642i −1.53082 0.298128i
6565 −32.3161 18.2001i −0.0616664 0.0347298i
6666 17.3369 + 9.04466i 0.0323338 + 0.0168685i
6767 345.982 + 209.736i 0.630872 + 0.382438i 0.797272 0.603620i 0.206276π-0.206276\pi
−0.166400 + 0.986058i 0.553214π0.553214\pi
6868 693.001 1439.03i 1.23586 2.56630i
6969 0.616428 + 0.140696i 0.00107550 + 0.000245475i
7070 −6.93479 23.3656i −0.0118409 0.0398960i
7171 −178.711 124.661i −0.298720 0.208374i 0.413190 0.910645i 0.364415π-0.364415\pi
−0.711910 + 0.702271i 0.752170π0.752170\pi
7272 460.708 541.174i 0.754097 0.885805i
7373 39.4844 + 306.233i 0.0633055 + 0.490985i 0.992580 + 0.121595i 0.0388008π0.0388008\pi
−0.929274 + 0.369390i 0.879567π0.879567\pi
7474 745.121 71.8809i 1.17052 0.112919i
7575 −14.0458 + 24.9397i −0.0216249 + 0.0383972i
7676 76.8982 259.096i 0.116064 0.391057i
7777 −99.0492 + 78.9891i −0.146594 + 0.116904i
7878 −49.3738 18.1700i −0.0716728 0.0263762i
7979 272.938 + 81.0065i 0.388707 + 0.115366i 0.472973 0.881077i 0.343181π-0.343181\pi
−0.0842654 + 0.996443i 0.526854π0.526854\pi
8080 −10.0118 + 1.61863i −0.0139919 + 0.00226210i
8181 −250.292 680.124i −0.343336 0.932954i
8282 1979.32 + 876.188i 2.66561 + 1.17999i
8383 −133.553 585.134i −0.176619 0.773816i −0.983176 0.182661i 0.941529π-0.941529\pi
0.806557 0.591156i 0.201328π-0.201328\pi
8484 −9.46199 19.6480i −0.0122903 0.0255211i
8585 −8.47094 + 87.8102i −0.0108094 + 0.112051i
8686 1820.31 1269.77i 2.28243 1.59212i
8787 −0.0992177 0.0791235i −0.000122267 9.75049e-5i
8888 249.695 + 411.898i 0.302472 + 0.498960i
8989 26.1044 134.041i 0.0310906 0.159644i −0.962763 0.270347i 0.912861π-0.912861\pi
0.993853 + 0.110704i 0.0353104π0.0353104\pi
9090 −32.6984 + 88.8521i −0.0382968 + 0.104065i
9191 237.127 244.853i 0.273161 0.282061i
9292 26.9840 + 26.1325i 0.0305791 + 0.0296142i
9393 37.3631 + 46.8519i 0.0416599 + 0.0522399i
9494 1533.85 2356.41i 1.68303 2.58558i
9595 0.956409 + 14.8968i 0.00103290 + 0.0160883i
9696 32.4099 10.7608i 0.0344565 0.0114403i
9797 −1438.55 + 810.177i −1.50580 + 0.848052i −0.999894 0.0145360i 0.995373π-0.995373\pi
−0.505907 + 0.862588i 0.668842π0.668842\pi
9898 −1371.86 + 43.9930i −1.41407 + 0.0453465i
9999 491.874 15.7734i 0.499345 0.0160130i
100100 −1481.67 + 834.461i −1.48167 + 0.834461i
101101 −215.294 + 71.4826i −0.212105 + 0.0704237i −0.419187 0.907900i 0.637685π-0.637685\pi
0.207082 + 0.978324i 0.433603π0.433603\pi
102102 8.01766 + 124.882i 0.00778301 + 0.121227i
103103 −630.615 + 968.795i −0.603266 + 0.926778i 0.396695 + 0.917950i 0.370157π0.370157\pi
−0.999961 + 0.00882790i 0.997190π0.997190\pi
104104 −808.001 1013.20i −0.761837 0.955314i
105105 0.865248 + 0.837946i 0.000804186 + 0.000778811i
106106 1751.51 1808.58i 1.60492 1.65721i
107107 −43.1501 + 117.253i −0.0389858 + 0.105937i −0.956465 0.291846i 0.905731π-0.905731\pi
0.917480 + 0.397783i 0.130220π0.130220\pi
108108 −32.4189 + 166.464i −0.0288844 + 0.148315i
109109 404.515 + 667.290i 0.355464 + 0.586375i 0.981044 0.193785i 0.0620765π-0.0620765\pi
−0.625580 + 0.780160i 0.715138π0.715138\pi
110110 −50.1666 40.0065i −0.0434836 0.0346770i
111111 −30.3417 + 21.1650i −0.0259451 + 0.0180982i
112112 8.94990 92.7750i 0.00755077 0.0782716i
113113 313.769 + 651.547i 0.261211 + 0.542411i 0.989787 0.142555i 0.0455316π-0.0455316\pi
−0.728576 + 0.684965i 0.759817π0.759817\pi
114114 4.71187 + 20.6441i 0.00387112 + 0.0169605i
115115 −1.89718 0.839825i −0.00153837 0.000680992i
116116 −2.60385 7.07549i −0.00208415 0.00566330i
117117 −1307.09 + 211.320i −1.03283 + 0.166979i
118118 −9.23807 2.74181i −0.00720706 0.00213902i
119119 −760.859 280.003i −0.586116 0.215696i
120120 3.58040 2.85527i 0.00272370 0.00217208i
121121 283.809 956.246i 0.213230 0.718442i
122122 −83.6260 + 148.486i −0.0620586 + 0.110191i
123123 −106.478 + 10.2718i −0.0780552 + 0.00752989i
124124 455.268 + 3530.97i 0.329712 + 2.55718i
125125 122.045 143.362i 0.0873286 0.102581i
126126 −713.643 497.807i −0.504575 0.351969i
127127 534.692 + 1801.55i 0.373592 + 1.25876i 0.909933 + 0.414755i 0.136133π0.136133\pi
−0.536341 + 0.844001i 0.680194π0.680194\pi
128128 2465.75 + 562.791i 1.70268 + 0.388627i
129129 −47.5893 + 98.8201i −0.0324806 + 0.0674467i
130130 147.629 + 89.4935i 0.0995994 + 0.0603777i
131131 −2110.45 1101.02i −1.40756 0.734324i −0.422474 0.906375i 0.638838π-0.638838\pi
−0.985088 + 0.172051i 0.944961π0.944961\pi
132132 −50.0241 28.1730i −0.0329851 0.0185769i
133133 −134.658 26.2246i −0.0877920 0.0170975i
134134 −1578.32 1027.37i −1.01751 0.662326i
135135 −1.49497 9.24693i −0.000953086 0.00589518i
136136 −1425.76 + 2732.91i −0.898953 + 1.72313i
137137 782.387 666.056i 0.487911 0.415365i −0.370103 0.928991i 0.620678π-0.620678\pi
0.858014 + 0.513626i 0.171698π0.171698\pi
138138 −2.84682 0.746524i −0.00175607 0.000460495i
139139 366.779 + 905.951i 0.223811 + 0.552819i 0.996650 0.0817840i 0.0260618π-0.0260618\pi
−0.772839 + 0.634603i 0.781164π0.781164\pi
140140 18.1513 + 69.2189i 0.0109576 + 0.0417862i
141141 −8.90252 + 138.664i −0.00531722 + 0.0828199i
142142 812.822 + 606.625i 0.480356 + 0.358499i
143143 143.217 885.848i 0.0837511 0.518030i
144144 −243.414 + 268.026i −0.140865 + 0.155108i
145145 0.269936 + 0.317082i 0.000154600 + 0.000181602i
146146 −138.007 1430.58i −0.0782295 0.810930i
147147 58.0054 35.1632i 0.0325456 0.0197294i
148148 −2193.32 + 140.816i −1.21817 + 0.0782094i
149149 1212.46 446.196i 0.666635 0.245328i 0.0104698 0.999945i 0.496667π-0.496667\pi
0.656165 + 0.754617i 0.272178π0.272178\pi
150150 69.0660 113.932i 0.0375948 0.0620165i
151151 −2378.26 2159.88i −1.28172 1.16403i −0.977386 0.211464i 0.932177π-0.932177\pi
−0.304338 0.952564i 0.598435π-0.598435\pi
152152 −164.357 + 495.018i −0.0877048 + 0.264153i
153153 1718.09 + 2639.45i 0.907840 + 1.39469i
154154 472.592 352.704i 0.247289 0.184557i
155155 −90.9531 174.340i −0.0471325 0.0903441i
156156 143.177 + 57.9661i 0.0734831 + 0.0297500i
157157 2131.82 415.171i 1.08368 0.211046i 0.382445 0.923978i 0.375082π-0.375082\pi
0.701233 + 0.712932i 0.252633π0.252633\pi
158158 −1257.70 417.587i −0.633276 0.210262i
159159 −31.5603 + 120.353i −0.0157415 + 0.0600290i
160160 −111.138 + 14.3297i −0.0549139 + 0.00708037i
161161 11.8884 14.9076i 0.00581949 0.00729741i
162162 1062.97 + 3201.49i 0.515522 + 1.55267i
163163 849.417 1918.85i 0.408168 0.922059i −0.585601 0.810600i 0.699141π-0.699141\pi
0.993769 0.111460i 0.0355526π-0.0355526\pi
164164 −5725.87 2757.44i −2.72631 1.31292i
165165 3.13036 + 0.506093i 0.00147696 + 0.000238783i
166166 534.033 + 2742.15i 0.249693 + 1.28212i
167167 −1949.53 + 1770.51i −0.903348 + 0.820397i −0.984333 0.176319i 0.943581π-0.943581\pi
0.0809853 + 0.996715i 0.474193π0.474193\pi
168168 17.0361 + 38.4847i 0.00782357 + 0.0176736i
169169 −6.96527 + 217.203i −0.00317035 + 0.0988633i
170170 52.5099 407.256i 0.0236901 0.183736i
171171 358.277 + 394.502i 0.160223 + 0.176423i
172172 −5461.18 + 3554.83i −2.42099 + 1.57589i
173173 2974.05 1204.06i 1.30701 0.529149i 0.387374 0.921923i 0.373382π-0.373382\pi
0.919635 + 0.392773i 0.128484π0.128484\pi
174174 0.449787 + 0.382909i 0.000195967 + 0.000166829i
175175 493.836 + 707.952i 0.213317 + 0.305806i
176176 −120.411 213.802i −0.0515701 0.0915679i
177177 0.464282 0.105969i 0.000197161 4.50008e-5i
178178 −141.444 + 619.705i −0.0595598 + 0.260948i
179179 −960.405 + 1286.86i −0.401028 + 0.537341i −0.955550 0.294828i 0.904738π-0.904738\pi
0.554522 + 0.832169i 0.312901π0.312901\pi
180180 104.315 257.659i 0.0431953 0.106693i
181181 −1948.18 251.190i −0.800039 0.103154i −0.283005 0.959118i 0.591331π-0.591331\pi
−0.517034 + 0.855965i 0.672964π0.672964\pi
182182 −1139.72 + 1103.75i −0.464184 + 0.449537i
183183 8.42182i 0.00340196i
184184 −50.4334 52.0767i −0.0202065 0.0208649i
185185 111.003 49.1376i 0.0441139 0.0195279i
186186 −166.835 223.543i −0.0657684 0.0881237i
187187 −2064.60 + 541.402i −0.807372 + 0.211718i
188188 −4722.83 + 6770.53i −1.83217 + 2.62655i
189189 85.6874 + 8.26616i 0.0329780 + 0.00318135i
190190 −2.22704 69.4474i −0.000850351 0.0265171i
191191 3215.74 1548.62i 1.21823 0.586671i 0.289415 0.957204i 0.406539π-0.406539\pi
0.928819 + 0.370533i 0.120825π0.120825\pi
192192 −176.090 + 52.2626i −0.0661886 + 0.0196444i
193193 2038.75 + 130.892i 0.760377 + 0.0488178i 0.439427 0.898278i 0.355182π-0.355182\pi
0.320950 + 0.947096i 0.395998π0.395998\pi
194194 6813.46 3554.58i 2.52153 1.31548i
195195 −8.52719 0.273450i −0.00313151 0.000100422i
196196 4029.87 1.46861
197197 −2755.61 227.982i −0.996595 0.0824519i
198198 −2290.70 −0.822188
199199 90.6390 + 2.90662i 0.0322876 + 0.00103540i 0.0481912 0.998838i 0.484654π-0.484654\pi
−0.0159036 + 0.999874i 0.505062π0.505062\pi
200200 2909.64 1517.96i 1.02871 0.536679i
201201 92.8773 + 5.96292i 0.0325923 + 0.00209250i
202202 1012.28 300.439i 0.352593 0.104648i
203203 −3.44803 + 1.66048i −0.00119214 + 0.000574103i
204204 −11.7760 367.219i −0.00404159 0.126032i
205205 349.395 + 33.7057i 0.119038 + 0.0114834i
206206 3078.35 4413.05i 1.04116 1.49258i
207207 −71.6461 + 18.7878i −0.0240567 + 0.00630842i
208208 394.865 + 529.083i 0.131630 + 0.176372i
209209 −330.256 + 146.194i −0.109303 + 0.0483851i
210210 −3.90039 4.02747i −0.00128168 0.00132344i
211211 2395.72i 0.781651i −0.920465 0.390825i 0.872190π-0.872190\pi
0.920465 0.390825i 0.127810π-0.127810\pi
212212 −5310.00 + 5142.45i −1.72025 + 1.66597i
213213 −49.7113 6.40956i −0.0159914 0.00206186i
214214 218.241 539.059i 0.0697132 0.172193i
215215 215.265 288.436i 0.0682835 0.0914937i
216216 72.8304 319.091i 0.0229420 0.100516i
217217 1761.86 402.132i 0.551164 0.125800i
218218 −1782.38 3164.79i −0.553751 0.983241i
219219 40.6355 + 58.2540i 0.0125383 + 0.0179746i
220220 143.449 + 122.120i 0.0439606 + 0.0374242i
221221 5322.92 2155.01i 1.62017 0.655935i
222222 144.316 93.9396i 0.0436301 0.0284001i
223223 −362.666 399.335i −0.108905 0.119917i 0.683393 0.730051i 0.260503π-0.260503\pi
−0.792299 + 0.610134i 0.791116π0.791116\pi
224224 131.693 1021.39i 0.0392819 0.304662i
225225 107.470 3351.31i 0.0318430 0.992981i
226226 −1362.54 3078.01i −0.401040 0.905957i
227227 −1192.49 + 1082.99i −0.348671 + 0.316653i −0.827727 0.561130i 0.810367π-0.810367\pi
0.479057 + 0.877784i 0.340979π0.340979\pi
228228 −11.8843 61.0234i −0.00345200 0.0177253i
229229 −3305.01 534.328i −0.953716 0.154189i −0.337114 0.941464i 0.609451π-0.609451\pi
−0.616603 + 0.787275i 0.711491π0.711491\pi
230230 8.70097 + 4.19016i 0.00249446 + 0.00120127i
231231 −11.7964 + 26.6482i −0.00335993 + 0.00759014i
232232 4.58494 + 13.8091i 0.00129748 + 0.00390781i
233233 3698.83 4638.19i 1.03999 1.30411i 0.0886214 0.996065i 0.471754π-0.471754\pi
0.951372 0.308045i 0.0996747π-0.0996747\pi
234234 6112.52 788.122i 1.70764 0.220176i
235235 115.653 441.034i 0.0321036 0.122425i
236236 26.8511 + 8.91518i 0.00740618 + 0.00245902i
237237 64.2835 12.5192i 0.0176188 0.00343127i
238238 3497.98 + 1416.17i 0.952690 + 0.385701i
239239 2185.04 + 4188.31i 0.591373 + 1.13355i 0.977466 + 0.211092i 0.0677020π0.0677020\pi
−0.386093 + 0.922460i 0.626176π0.626176\pi
240240 −1.86964 + 1.39535i −0.000502854 + 0.000375290i
241241 −758.364 1165.05i −0.202699 0.311400i 0.722149 0.691738i 0.243155π-0.243155\pi
−0.924848 + 0.380338i 0.875808π0.875808\pi
242242 −1463.03 + 4406.41i −0.388624 + 1.17047i
243243 −371.446 337.338i −0.0980588 0.0890544i
244244 259.374 427.864i 0.0680520 0.112259i
245245 −208.884 + 76.8714i −0.0544700 + 0.0200454i
246246 496.901 31.9021i 0.128785 0.00826830i
247247 830.957 503.731i 0.214059 0.129764i
248248 −659.761 6839.12i −0.168931 1.75115i
249249 −89.4950 105.126i −0.0227772 0.0267553i
250250 −589.181 + 648.754i −0.149052 + 0.164123i
251251 −1010.91 + 6252.81i −0.254214 + 1.57241i 0.469896 + 0.882722i 0.344292π0.344292\pi
−0.724110 + 0.689684i 0.757749π0.757749\pi
252252 2047.34 + 1527.97i 0.511787 + 0.381956i
253253 3.21620 50.0949i 0.000799212 0.0124484i
254254 −2218.78 8461.15i −0.548104 2.09016i
255255 7.61526 + 18.8098i 0.00187014 + 0.00461928i
256256 −5208.33 1365.79i −1.27157 0.333444i
257257 −3291.74 + 2802.30i −0.798961 + 0.680166i −0.951335 0.308157i 0.900288π-0.900288\pi
0.152374 + 0.988323i 0.451308π0.451308\pi
258258 236.143 452.642i 0.0569830 0.109226i
259259 178.054 + 1101.33i 0.0427171 + 0.264221i
260260 −424.795 276.511i −0.101326 0.0659557i
261261 14.5921 + 2.84180i 0.00346063 + 0.000673958i
262262 9654.19 + 5437.14i 2.27648 + 1.28209i
263263 −539.867 281.648i −0.126577 0.0660349i 0.398070 0.917355i 0.369680π-0.369680\pi
−0.524647 + 0.851320i 0.675803π0.675803\pi
264264 94.7496 + 57.4378i 0.0220888 + 0.0133903i
265265 177.145 367.844i 0.0410638 0.0852698i
266266 622.558 + 142.095i 0.143502 + 0.0327534i
267267 −8.93785 30.1146i −0.00204864 0.00690255i
268268 4534.91 + 3163.36i 1.03363 + 0.721018i
269269 3567.96 4191.13i 0.808708 0.949954i −0.190790 0.981631i 0.561105π-0.561105\pi
0.999498 + 0.0316765i 0.0100846π0.0100846\pi
270270 5.57551 + 43.2426i 0.00125672 + 0.00974689i
271271 −4667.10 + 450.230i −1.04615 + 0.100921i −0.604770 0.796400i 0.706735π-0.706735\pi
−0.441379 + 0.897321i 0.645511π0.645511\pi
272272 770.573 1368.23i 0.171775 0.305004i
273273 22.3091 75.1667i 0.00494581 0.0166641i
274274 −3739.27 + 2981.97i −0.824444 + 0.657472i
275275 2132.61 + 784.819i 0.467640 + 0.172096i
276276 8.28374 + 2.45857i 0.00180660 + 0.000536190i
277277 −3098.11 + 500.879i −0.672013 + 0.108646i −0.486077 0.873916i 0.661573π-0.661573\pi
−0.185936 + 0.982562i 0.559532π0.559532\pi
278278 −1571.21 4269.48i −0.338974 0.921103i
279279 −6419.18 2841.58i −1.37744 0.609753i
280280 −30.7308 134.640i −0.00655899 0.0287368i
281281 2867.66 + 5954.75i 0.608790 + 1.26417i 0.946436 + 0.322893i 0.104655π0.104655\pi
−0.337645 + 0.941273i 0.609630π0.609630\pi
282282 62.1046 643.779i 0.0131145 0.135945i
283283 5042.95 3517.75i 1.05927 0.738899i 0.0927986 0.995685i 0.470419π-0.470419\pi
0.966468 + 0.256786i 0.0826636π0.0826636\pi
284284 −2328.14 1856.63i −0.486443 0.387925i
285285 1.78006 + 2.93639i 0.000369970 + 0.000610305i
286286 −798.450 + 4099.87i −0.165082 + 0.847659i
287287 −1114.13 + 3027.44i −0.229146 + 0.622662i
288288 −2783.05 + 2873.73i −0.569420 + 0.587973i
289289 −6282.80 6084.55i −1.27881 1.23846i
290290 −1.20852 1.51543i −0.000244713 0.000306860i
291291 −207.185 + 318.292i −0.0417368 + 0.0641190i
292292 270.357 + 4211.03i 0.0541830 + 0.843944i
293293 −626.404 + 207.981i −0.124897 + 0.0414688i −0.376874 0.926265i 0.623001π-0.623001\pi
0.251977 + 0.967733i 0.418919π0.418919\pi
294294 −275.105 + 154.936i −0.0545730 + 0.0307349i
295295 −1.56186 + 0.0500859i −0.000308255 + 9.88513e-6i
296296 4239.45 135.951i 0.832476 0.0266959i
297297 197.469 111.212i 0.0385801 0.0217279i
298298 −5707.31 + 1894.96i −1.10945 + 0.368362i
299299 8.65316 + 134.780i 0.00167366 + 0.0260687i
300300 −213.395 + 327.833i −0.0410680 + 0.0630914i
301301 2062.29 + 2586.03i 0.394912 + 0.495204i
302302 10742.2 + 10403.2i 2.04683 + 1.98225i
303303 −36.3028 + 37.4856i −0.00688297 + 0.00710723i
304304 91.7681 249.363i 0.0173134 0.0470460i
305305 −5.28271 + 27.1256i −0.000991760 + 0.00509248i
306306 −7599.31 12535.9i −1.41969 2.34192i
307307 5556.27 + 4430.98i 1.03294 + 0.823744i 0.984553 0.175085i 0.0560199π-0.0560199\pi
0.0483888 + 0.998829i 0.484591π0.484591\pi
308308 −1420.01 + 990.538i −0.262703 + 0.183250i
309309 −25.5332 + 264.678i −0.00470075 + 0.0487282i
310310 397.132 + 824.653i 0.0727600 + 0.151088i
311311 277.924 + 1217.66i 0.0506740 + 0.222017i 0.993924 0.110065i 0.0351059π-0.0351059\pi
−0.943250 + 0.332082i 0.892249π0.892249\pi
312312 −272.592 120.668i −0.0494631 0.0218958i
313313 −989.371 2688.44i −0.178666 0.485494i 0.817197 0.576359i 0.195527π-0.195527\pi
−0.995863 + 0.0908644i 0.971037π0.971037\pi
314314 −9979.81 + 1613.46i −1.79361 + 0.289977i
315315 −135.269 40.1470i −0.0241953 0.00718104i
316316 3651.44 + 1343.76i 0.650029 + 0.239217i
317317 −4255.96 + 3394.02i −0.754065 + 0.601347i −0.923233 0.384240i 0.874463π-0.874463\pi
0.169168 + 0.985587i 0.445892π0.445892\pi
318318 164.784 555.211i 0.0290585 0.0979078i
319319 −4.94407 + 8.77870i −0.000867758 + 0.00154079i
320320 599.945 57.8760i 0.104806 0.0101105i
321321 3.67523 + 28.5044i 0.000639039 + 0.00495626i
322322 −57.5326 + 67.5811i −0.00995704 + 0.0116961i
323323 −1895.66 1322.33i −0.326555 0.227791i
324324 −2818.00 9494.79i −0.483197 1.62805i
325325 −5960.67 1360.48i −1.01735 0.232203i
326326 −4238.02 + 8800.34i −0.720007 + 1.49511i
327327 153.498 + 93.0514i 0.0259586 + 0.0157363i
328328 10874.2 + 5673.05i 1.83057 + 0.955006i
329329 3651.06 + 2056.24i 0.611821 + 0.344571i
330330 −14.4879 2.82152i −0.00241677 0.000470665i
331331 4689.34 + 3052.42i 0.778698 + 0.506876i 0.872441 0.488720i 0.162536π-0.162536\pi
−0.0937423 + 0.995596i 0.529883π0.529883\pi
332332 −1309.07 8097.08i −0.216400 1.33851i
333333 2004.50 3842.25i 0.329868 0.632295i
334334 9333.95 7946.11i 1.52914 1.30177i
335335 −295.405 77.4643i −0.0481782 0.0126338i
336336 −8.04583 19.8734i −0.00130636 0.00322673i
337337 700.563 + 2671.55i 0.113241 + 0.431836i 0.999509 0.0313367i 0.00997641π-0.00997641\pi
−0.886268 + 0.463172i 0.846711π0.846711\pi
338338 64.8092 1009.45i 0.0104294 0.162447i
339339 133.316 + 99.4960i 0.0213590 + 0.0159406i
340340 −192.414 + 1190.15i −0.0306916 + 0.189838i
341341 3198.56 3521.97i 0.507952 0.559312i
342342 −1607.96 1888.80i −0.254235 0.298639i
343343 −424.899 4404.52i −0.0668874 0.693358i
344344 10754.1 6519.17i 1.68552 1.02177i
345345 −0.476278 + 0.0305781i −7.43245e−5 + 4.77179e-6i
346346 −14015.8 + 5157.95i −2.17773 + 0.801425i
347347 −3962.66 + 6536.83i −0.613046 + 1.01128i 0.383112 + 0.923702i 0.374852π0.374852\pi
−0.996157 + 0.0875811i 0.972086π0.972086\pi
348348 −1.28387 1.16597i −0.000197766 0.000179605i
349349 607.617 1830.04i 0.0931948 0.280688i −0.892024 0.451988i 0.850715π-0.850715\pi
0.985219 + 0.171300i 0.0547967π0.0547967\pi
350350 −2191.86 3367.29i −0.334742 0.514254i
351351 −488.663 + 364.699i −0.0743103 + 0.0554592i
352352 −1254.04 2403.76i −0.189888 0.363980i
353353 −2884.13 1167.65i −0.434863 0.176057i 0.147365 0.989082i 0.452921π-0.452921\pi
−0.582228 + 0.813026i 0.697819π0.697819\pi
354354 −2.17579 + 0.423736i −0.000326673 + 6.36195e-5i
355355 156.093 + 51.8264i 0.0233368 + 0.00774834i
356356 473.382 1805.21i 0.0704753 0.268753i
357357 −184.966 + 23.8487i −0.0274214 + 0.00353560i
358358 4660.09 5843.57i 0.687970 0.862687i
359359 318.558 + 959.447i 0.0468325 + 0.141052i 0.969848 0.243711i 0.0783648π-0.0783648\pi
−0.923015 + 0.384763i 0.874283π0.874283\pi
360360 −217.152 + 490.551i −0.0317915 + 0.0718175i
361361 5827.38 + 2806.32i 0.849596 + 0.409144i
362362 9026.06 + 1459.26i 1.31050 + 0.211871i
363363 −43.8615 225.219i −0.00634196 0.0325646i
364364 3448.36 3131.71i 0.496548 0.450952i
365365 −94.3408 213.118i −0.0135288 0.0305619i
366366 −1.25646 + 39.1809i −0.000179443 + 0.00559568i
367367 470.800 3651.43i 0.0669633 0.519354i −0.923710 0.383093i 0.874859π-0.874859\pi
0.990673 0.136261i 0.0435086π-0.0435086\pi
368368 24.8288 + 27.3392i 0.00351709 + 0.00387271i
369369 10502.3 6836.24i 1.48165 0.964446i
370370 −523.749 + 212.043i −0.0735903 + 0.0297934i
371371 2857.08 + 2432.26i 0.399817 + 0.340369i
372372 468.540 + 671.688i 0.0653029 + 0.0936166i
373373 4956.83 + 8801.36i 0.688083 + 1.22176i 0.965348 + 0.260968i 0.0840416π0.0840416\pi
−0.277264 + 0.960794i 0.589428π0.589428\pi
374374 9685.93 2210.75i 1.33916 0.305656i
375375 9.63723 42.2235i 0.00132711 0.00581443i
376376 9528.76 12767.7i 1.30694 1.75118i
377377 10.1724 25.1261i 0.00138968 0.00343253i
378378 −397.411 51.2405i −0.0540757 0.00697229i
379379 −3180.00 + 3079.66i −0.430991 + 0.417392i −0.879137 0.476569i 0.841880π-0.841880\pi
0.448146 + 0.893960i 0.352084π0.352084\pi
380380 204.003i 0.0275398i
381381 300.731 + 310.529i 0.0404381 + 0.0417556i
382382 −15191.7 + 6724.90i −2.03475 + 0.900722i
383383 −3747.05 5020.70i −0.499909 0.669832i 0.478122 0.878294i 0.341318π-0.341318\pi
−0.978031 + 0.208461i 0.933154π0.933154\pi
384384 562.760 147.573i 0.0747871 0.0196115i
385385 54.7100 78.4309i 0.00724229 0.0103824i
386386 −9465.38 913.114i −1.24812 0.120405i
387387 −411.821 12842.1i −0.0540932 1.68682i
388388 −20328.6 + 9789.72i −2.65986 + 1.28092i
389389 5694.51 1690.10i 0.742218 0.220286i 0.108765 0.994067i 0.465310π-0.465310\pi
0.633453 + 0.773781i 0.281637π0.281637\pi
390390 39.6303 + 2.54435i 0.00514554 + 0.000330354i
391391 284.814 148.587i 0.0368380 0.0192184i
392392 −7773.29 249.274i −1.00156 0.0321180i
393393 −547.564 −0.0702823
394394 12785.9 + 1471.75i 1.63489 + 0.188187i
395395 −214.902 −0.0273744
396396 6722.06 + 215.563i 0.853021 + 0.0273547i
397397 2402.90 1253.59i 0.303774 0.158479i −0.303813 0.952732i 0.598260π-0.598260\pi
0.607587 + 0.794253i 0.292137π0.292137\pi
398398 −421.247 27.0449i −0.0530533 0.00340613i
399399 −30.2532 + 8.97900i −0.00379588 + 0.00112660i
400400 −1506.28 + 725.386i −0.188285 + 0.0906733i
401401 −144.833 4516.44i −0.0180365 0.562444i −0.968126 0.250465i 0.919416π-0.919416\pi
0.950089 0.311979i 0.100992π-0.100992\pi
402402 −431.204 41.5977i −0.0534988 0.00516096i
403403 −7323.31 + 10498.5i −0.905211 + 1.29769i
404404 −2998.81 + 786.380i −0.369298 + 0.0968412i
405405 327.186 + 438.399i 0.0401432 + 0.0537882i
406406 16.2890 7.21066i 0.00199116 0.000881426i
407407 2043.26 + 2109.83i 0.248846 + 0.256954i
408408 709.064i 0.0860390i
409409 4500.00 4358.01i 0.544036 0.526870i −0.371858 0.928290i 0.621279π-0.621279\pi
0.915894 + 0.401420i 0.131483π0.131483\pi
410410 −1620.46 208.936i −0.195193 0.0251673i
411411 88.6974 219.084i 0.0106451 0.0262935i
412412 −9448.70 + 12660.4i −1.12986 + 1.51392i
413413 3.19569 14.0012i 0.000380750 0.00166817i
414414 336.123 76.7178i 0.0399022 0.00910742i
415415 222.310 + 394.733i 0.0262958 + 0.0466909i
416416 4173.30 + 5982.74i 0.491858 + 0.705116i
417417 171.195 + 145.740i 0.0201042 + 0.0171150i
418418 1558.26 630.871i 0.182338 0.0738203i
419419 −13651.0 + 8885.81i −1.59163 + 1.03604i −0.624749 + 0.780826i 0.714799π0.714799\pi
−0.966885 + 0.255213i 0.917854π0.917854\pi
420420 11.0667 + 12.1856i 0.00128571 + 0.00141571i
421421 1291.28 10014.9i 0.149485 1.15937i −0.730000 0.683447i 0.760480π-0.760480\pi
0.879485 0.475927i 0.157887π-0.157887\pi
422422 −357.419 + 11145.6i −0.0412296 + 1.28569i
423423 −6588.75 14884.1i −0.757343 1.71085i
424424 10560.7 9590.91i 1.20960 1.09853i
425425 2779.92 + 14274.3i 0.317284 + 1.62919i
426426 230.316 + 37.2357i 0.0261945 + 0.00423492i
427427 −228.823 110.196i −0.0259334 0.0124888i
428428 −691.155 + 1561.33i −0.0780566 + 0.176331i
429429 −65.0444 195.903i −0.00732021 0.0220473i
430430 −1044.51 + 1309.78i −0.117141 + 0.146891i
431431 −13967.1 + 1800.85i −1.56095 + 0.201262i −0.859379 0.511338i 0.829150π-0.829150\pi
−0.701570 + 0.712601i 0.747517π0.747517\pi
432432 −42.2930 + 161.282i −0.00471024 + 0.0179622i
433433 8395.82 + 2787.60i 0.931819 + 0.309385i 0.740433 0.672130i 0.234620π-0.234620\pi
0.191385 + 0.981515i 0.438702π0.438702\pi
434434 −8256.70 + 1607.99i −0.913212 + 0.177848i
435435 0.0887894 + 0.0359468i 9.78650e−6 + 3.96211e-6i
436436 4932.56 + 9454.80i 0.541805 + 1.03854i
437437 43.5634 32.5122i 0.00476869 0.00355897i
438438 −180.358 277.078i −0.0196754 0.0302267i
439439 −26.4456 + 79.6498i −0.00287512 + 0.00865940i −0.950483 0.310775i 0.899411π-0.899411\pi
0.947608 + 0.319435i 0.103493π0.103493\pi
440440 −269.147 244.433i −0.0291616 0.0264838i
441441 −4119.20 + 6795.05i −0.444790 + 0.733727i
442442 −25085.4 + 9231.64i −2.69952 + 0.993449i
443443 −3898.51 + 250.292i −0.418112 + 0.0268437i −0.271705 0.962381i 0.587587π-0.587587\pi
−0.146407 + 0.989224i 0.546771π0.546771\pi
444444 −432.336 + 262.085i −0.0462112 + 0.0280135i
445445 9.89784 + 102.601i 0.00105439 + 0.0109298i
446446 1627.66 + 1911.94i 0.172807 + 0.202988i
447447 199.802 220.004i 0.0211416 0.0232793i
448448 −884.065 + 5468.25i −0.0932324 + 0.576676i
449449 −12706.0 9482.73i −1.33549 0.996698i −0.998475 0.0551972i 0.982421π-0.982421\pi
−0.337010 0.941501i 0.609415π-0.609415\pi
450450 −999.967 + 15575.3i −0.104753 + 1.63161i
451451 2154.23 + 8214.99i 0.224919 + 0.857714i
452452 3708.73 + 9160.64i 0.385938 + 0.953275i
453453 −714.845 187.454i −0.0741421 0.0194423i
454454 5709.40 4860.48i 0.590210 0.502453i
455455 −119.004 + 228.108i −0.0122615 + 0.0235030i
456456 19.1492 + 118.444i 0.00196654 + 0.0121637i
457457 −4295.37 2795.98i −0.439670 0.286193i 0.306598 0.951839i 0.400809π-0.400809\pi
−0.746268 + 0.665646i 0.768156π0.768156\pi
458458 15296.2 + 2978.93i 1.56058 + 0.303922i
459459 1263.70 + 711.704i 0.128507 + 0.0723736i
460460 −25.1387 13.1148i −0.00254803 0.00132931i
461461 11127.8 + 6745.76i 1.12424 + 0.681521i 0.952777 0.303670i 0.0982119π-0.0982119\pi
0.171463 + 0.985191i 0.445151π0.445151\pi
462462 58.8560 122.216i 0.00592690 0.0123073i
463463 −3616.36 825.411i −0.362995 0.0828512i 0.0371336 0.999310i 0.488177π-0.488177\pi
−0.400128 + 0.916459i 0.631034π0.631034\pi
464464 −2.10903 7.10602i −0.000211011 0.000710967i
465465 −37.0991 25.8787i −0.00369985 0.00258085i
466466 −17900.1 + 21026.4i −1.77941 + 2.09020i
467467 −761.123 5903.12i −0.0754188 0.584934i −0.985396 0.170276i 0.945534π-0.945534\pi
0.909978 0.414657i 0.136099π-0.136099\pi
468468 −18011.3 + 1737.53i −1.77901 + 0.171618i
469469 1377.27 2445.48i 0.135600 0.240771i
470470 −603.850 + 2034.57i −0.0592628 + 0.199676i
471471 390.602 311.495i 0.0382123 0.0304733i
472472 −51.2421 18.8576i −0.00499705 0.00183896i
473473 8347.97 + 2477.64i 0.811502 + 0.240849i
474474 −300.935 + 48.6528i −0.0291611 + 0.00471455i
475475 849.860 + 2309.34i 0.0820932 + 0.223074i
476476 −10131.5 4484.93i −0.975585 0.431862i
477477 −3243.34 14210.0i −0.311326 1.36401i
478478 −9540.61 19811.3i −0.912923 1.89570i
479479 1247.60 12932.7i 0.119007 1.23363i −0.721726 0.692178i 0.756651π-0.756651\pi
0.840733 0.541450i 0.182124π-0.182124\pi
480480 −21.1415 + 14.7474i −0.00201036 + 0.00140234i
481481 −6178.12 4926.89i −0.585651 0.467041i
482482 3354.33 + 5533.31i 0.316982 + 0.522895i
483483 0.838448 4.30525i 7.89870e−5 0.000405581i
484484 4707.91 12792.9i 0.442141 1.20144i
485485 866.970 895.217i 0.0811692 0.0838139i
486486 1677.75 + 1624.81i 0.156594 + 0.151652i
487487 8603.65 + 10788.6i 0.800552 + 1.00386i 0.999715 + 0.0238936i 0.00760630π0.00760630\pi
−0.199163 + 0.979966i 0.563822π0.563822\pi
488488 −526.777 + 809.270i −0.0488649 + 0.0750696i
489489 −30.9273 481.718i −0.00286009 0.0445481i
490490 983.263 326.466i 0.0906517 0.0300984i
491491 826.204 465.309i 0.0759390 0.0427681i −0.452282 0.891875i 0.649390π-0.649390\pi
0.528221 + 0.849107i 0.322859π0.322859\pi
492492 −1461.16 + 46.8564i −0.133890 + 0.00429360i
493493 −64.4432 + 2.06657i −0.00588717 + 0.000188790i
494494 −3941.02 + 2219.54i −0.358937 + 0.202150i
495495 −352.544 + 117.053i −0.0320114 + 0.0106285i
496496 224.260 + 3493.03i 0.0203016 + 0.316213i
497497 −824.598 + 1266.80i −0.0744231 + 0.114334i
498498 400.674 + 502.430i 0.0360535 + 0.0452097i
499499 4572.75 + 4428.46i 0.410230 + 0.397285i 0.871835 0.489800i 0.162930π-0.162930\pi
−0.461605 + 0.887086i 0.652726π0.652726\pi
500500 1790.00 1848.32i 0.160103 0.165319i
501501 −209.219 + 568.516i −0.0186571 + 0.0506974i
502502 5635.91 28939.2i 0.501081 2.57295i
503503 10936.0 + 18040.1i 0.969407 + 1.59914i 0.787950 + 0.615739i 0.211142π0.211142\pi
0.181456 + 0.983399i 0.441919π0.441919\pi
504504 −3854.64 3073.97i −0.340673 0.271678i
505505 140.440 97.9647i 0.0123752 0.00863242i
506506 −22.4364 + 232.577i −0.00197119 + 0.0204334i
507507 21.6895 + 45.0387i 0.00189993 + 0.00394525i
508508 5714.77 + 25038.0i 0.499118 + 2.18678i
509509 6709.98 + 2970.31i 0.584312 + 0.258657i 0.675723 0.737156i 0.263832π-0.263832\pi
−0.0914111 + 0.995813i 0.529138π0.529138\pi
510510 −32.6223 88.6453i −0.00283243 0.00769662i
511511 2114.47 341.852i 0.183051 0.0295942i
512512 4629.99 + 1374.16i 0.399646 + 0.118613i
513513 230.313 + 84.7574i 0.0198218 + 0.00729460i
514514 15732.3 12546.1i 1.35004 1.07662i
515515 248.262 836.478i 0.0212422 0.0715721i
516516 −735.556 + 1306.06i −0.0627540 + 0.111426i
517517 10980.5 1059.28i 0.934086 0.0901101i
518518 −664.055 5150.28i −0.0563260 0.436854i
519519 478.435 561.997i 0.0404643 0.0475317i
520520 802.292 + 559.644i 0.0676593 + 0.0471962i
521521 −463.571 1561.92i −0.0389816 0.131342i 0.936925 0.349530i 0.113659π-0.113659\pi
−0.975907 + 0.218188i 0.929985π0.929985\pi
522522 −67.4628 15.3979i −0.00565664 0.00129109i
523523 −3712.29 + 7708.65i −0.310377 + 0.644504i −0.996555 0.0829290i 0.973573π-0.973573\pi
0.686179 + 0.727433i 0.259287π0.259287\pi
524524 −27818.5 16863.8i −2.31920 1.40591i
525525 176.041 + 91.8405i 0.0146344 + 0.00763476i
526526 2469.61 + 1390.86i 0.204715 + 0.115293i
527527 29885.1 + 5820.11i 2.47023 + 0.481078i
528528 −47.3056 30.7926i −0.00389908 0.00253802i
529529 −1940.65 12003.6i −0.159501 0.986569i
530530 −879.010 + 1684.90i −0.0720410 + 0.138089i
531531 −42.4788 + 36.1627i −0.00347161 + 0.00295542i
532532 −1813.52 475.562i −0.147794 0.0387561i
533533 −8574.73 21179.8i −0.696835 1.72119i
534534 37.0888 + 141.436i 0.00300560 + 0.0114617i
535535 6.04233 94.1142i 0.000488285 0.00760544i
536536 −8551.79 6382.37i −0.689144 0.514322i
537537 −58.9513 + 364.635i −0.00473731 + 0.0293020i
538538 −17224.5 + 18966.1i −1.38030 + 1.51987i
539539 −3490.88 4100.59i −0.278967 0.327690i
540540 −12.2921 127.420i −0.000979566 0.0101542i
541541 3303.99 2002.90i 0.262569 0.159171i −0.380963 0.924590i 0.624407π-0.624407\pi
0.643532 + 0.765420i 0.277469π0.277469\pi
542542 21780.0 1398.32i 1.72607 0.110817i
543543 −424.050 + 156.054i −0.0335133 + 0.0123332i
544544 8994.34 14837.1i 0.708877 1.16937i
545545 −436.029 395.990i −0.0342705 0.0311236i
546546 −115.003 + 346.370i −0.00901405 + 0.0271489i
547547 3615.33 + 5554.12i 0.282597 + 0.434144i 0.950787 0.309846i 0.100278π-0.100278\pi
−0.668190 + 0.743991i 0.732931π0.732931\pi
548548 11253.5 8398.71i 0.877237 0.654699i
549549 456.329 + 874.696i 0.0354747 + 0.0679984i
550550 −9804.46 3969.38i −0.760115 0.307737i
551551 −10.7090 + 2.08557i −0.000827981 + 0.000161249i
552552 −15.8266 5.25479i −0.00122033 0.000405179i
553553 500.969 1910.41i 0.0385232 0.146906i
554554 14488.1 1868.03i 1.11108 0.143258i
555555 17.4104 21.8319i 0.00133158 0.00166975i
556556 4208.94 + 12676.7i 0.321041 + 0.966924i
557557 367.325 829.794i 0.0279427 0.0631229i −0.899896 0.436104i 0.856358π-0.856358\pi
0.927839 + 0.372981i 0.121664π0.121664\pi
558558 29440.1 + 14177.6i 2.23351 + 1.07560i
559559 −23128.2 3739.19i −1.74994 0.282917i
560560 13.4487 + 69.0563i 0.00101484 + 0.00521100i
561561 −363.463 + 330.087i −0.0273537 + 0.0248419i
562562 −12452.8 28131.2i −0.934681 2.11146i
563563 165.586 5163.57i 0.0123954 0.386534i −0.974425 0.224714i 0.927855π-0.927855\pi
0.986820 0.161820i 0.0517365π-0.0517365\pi
564564 −242.828 + 1883.32i −0.0181293 + 0.140607i
565565 −366.982 404.087i −0.0273257 0.0300887i
566566 −23986.2 + 15613.3i −1.78130 + 1.15950i
567567 −4659.95 + 1886.61i −0.345149 + 0.139735i
568568 4375.95 + 3725.30i 0.323258 + 0.275194i
569569 8908.42 + 12770.9i 0.656345 + 0.940920i 0.999998 + 0.00182357i 0.000580461π0.000580461\pi
−0.343653 + 0.939097i 0.611664π0.611664\pi
570570 −7.84330 13.9266i −0.000576350 0.00102337i
571571 −17747.1 + 4050.66i −1.30069 + 0.296874i −0.816122 0.577880i 0.803880π-0.803880\pi
−0.484568 + 0.874754i 0.661023π0.661023\pi
572572 2728.86 11955.9i 0.199475 0.873955i
573573 491.067 657.985i 0.0358021 0.0479716i
574574 5634.92 13918.4i 0.409751 1.01209i
575575 −339.209 43.7362i −0.0246017 0.00317204i
576576 15457.0 14969.3i 1.11813 1.08285i
577577 18600.7i 1.34204i −0.741440 0.671019i 0.765857π-0.765857\pi
0.741440 0.671019i 0.234143π-0.234143\pi
578578 28321.7 + 29244.5i 2.03811 + 2.10452i
579579 429.722 190.225i 0.0308440 0.0136537i
580580 3.40379 + 4.56077i 0.000243680 + 0.000326510i
581581 −4027.30 + 1056.08i −0.287574 + 0.0754108i
582582 1011.38 1449.88i 0.0720324 0.103264i
583583 9832.50 + 948.529i 0.698491 + 0.0673826i
584584 −261.016 8139.45i −0.0184948 0.576735i
585585 900.457 433.637i 0.0636398 0.0306473i
586586 2945.25 874.136i 0.207623 0.0616215i
587587 −19169.0 1230.69i −1.34785 0.0865351i −0.626673 0.779282i 0.715584π-0.715584\pi
−0.721181 + 0.692747i 0.756400π0.756400\pi
588588 821.876 428.772i 0.0576422 0.0300719i
589589 5149.27 + 165.127i 0.360224 + 0.0115517i
590590 7.27374 0.000507551
591591 −586.253 + 246.697i −0.0408041 + 0.0171705i
592592 −2160.81 −0.150015
593593 14959.1 + 479.708i 1.03591 + 0.0332197i 0.545368 0.838197i 0.316390π-0.316390\pi
0.490544 + 0.871417i 0.336798π0.336798\pi
594594 −935.277 + 487.933i −0.0646042 + 0.0337039i
595595 610.711 + 39.2089i 0.0420785 + 0.00270153i
596596 16926.4 5023.67i 1.16331 0.345264i
597597 18.7947 9.05106i 0.00128847 0.000620495i
598598 −20.1493 628.329i −0.00137787 0.0429670i
599599 11985.8 + 1156.26i 0.817576 + 0.0788706i 0.496340 0.868128i 0.334677π-0.334677\pi
0.321237 + 0.946999i 0.395902π0.395902\pi
600600 431.901 619.163i 0.0293872 0.0421287i
601601 24300.2 6372.25i 1.64929 0.432495i 0.692065 0.721835i 0.256701π-0.256701\pi
0.957226 + 0.289340i 0.0934358π0.0934358\pi
602602 −9208.60 12338.7i −0.623446 0.835361i
603603 −9969.39 + 4413.15i −0.673275 + 0.298039i
604604 −30543.9 31539.1i −2.05764 2.12468i
605605 752.915i 0.0505956i
606606 174.484 168.979i 0.0116963 0.0113272i
607607 2142.74 + 276.276i 0.143281 + 0.0184740i 0.199183 0.979962i 0.436171π-0.436171\pi
−0.0559028 + 0.998436i 0.517804π0.517804\pi
608608 1101.75 2721.34i 0.0734897 0.181521i
609609 −0.526538 + 0.705514i −3.50352e−5 + 4.69439e-5i
610610 28.6237 125.408i 0.00189990 0.00832400i
611611 −28936.0 + 6604.45i −1.91592 + 0.437295i
612612 21120.5 + 37501.6i 1.39501 + 2.47698i
613613 −6054.68 8679.84i −0.398933 0.571901i 0.569243 0.822169i 0.307236π-0.307236\pi
−0.968177 + 0.250268i 0.919481π0.919481\pi
614614 −25188.4 21443.2i −1.65557 1.40941i
615615 74.8439 30.3009i 0.00490731 0.00198675i
616616 2800.36 1822.83i 0.183165 0.119227i
617617 12298.7 + 13542.2i 0.802473 + 0.883612i 0.995222 0.0976363i 0.0311282π-0.0311282\pi
−0.192749 + 0.981248i 0.561740π0.561740\pi
618618 158.276 1227.56i 0.0103022 0.0799022i
619619 569.870 17770.7i 0.0370033 1.15390i −0.797649 0.603121i 0.793923π-0.793923\pi
0.834653 0.550777i 0.185668π-0.185668\pi
620620 −1087.78 2457.32i −0.0704618 0.159174i
621621 −25.2506 + 22.9320i −0.00163168 + 0.00148185i
622622 −1111.32 5706.41i −0.0716399 0.367856i
623623 −935.170 151.191i −0.0601393 0.00972285i
624624 136.825 + 65.8913i 0.00877784 + 0.00422719i
625625 6238.39 14092.6i 0.399257 0.901928i
626626 4201.77 + 12655.1i 0.268269 + 0.807984i
627627 −51.7995 + 64.9545i −0.00329932 + 0.00413721i
628628 29437.6 3795.55i 1.87052 0.241177i
629629 −4767.62 + 18181.0i −0.302221 + 1.15250i
630630 623.322 + 206.957i 0.0394186 + 0.0130879i
631631 10583.4 2061.12i 0.667700 0.130035i 0.154088 0.988057i 0.450756π-0.450756\pi
0.513612 + 0.858022i 0.328307π0.328307\pi
632632 −6960.20 2817.87i −0.438073 0.177356i
633633 −254.901 488.598i −0.0160054 0.0306793i
634634 20306.4 15155.1i 1.27204 0.949344i
635635 −773.831 1188.81i −0.0483599 0.0742938i
636636 −535.805 + 1613.76i −0.0334057 + 0.100613i
637637 10725.9 + 9740.98i 0.667152 + 0.605890i
638638 24.3111 40.1036i 0.00150860 0.00248859i
639639 5510.34 2027.86i 0.341136 0.125541i
640640 −1905.14 + 122.314i −0.117668 + 0.00755453i
641641 −4391.05 + 2661.88i −0.270571 + 0.164022i −0.647150 0.762363i 0.724039π-0.724039\pi
0.376579 + 0.926385i 0.377100π0.377100\pi
642642 −12.8457 133.159i −0.000789689 0.00818596i
643643 −10848.1 12742.8i −0.665329 0.781533i 0.320866 0.947125i 0.396026π-0.396026\pi
−0.986194 + 0.165592i 0.947047π0.947047\pi
644644 175.189 192.902i 0.0107196 0.0118035i
645645 13.2133 81.7292i 0.000806628 0.00498928i
646646 8621.91 + 6434.70i 0.525115 + 0.391904i
647647 −871.072 + 13567.7i −0.0529295 + 0.824419i 0.882369 + 0.470559i 0.155948π0.155948\pi
−0.935298 + 0.353861i 0.884869π0.884869\pi
648648 4848.38 + 18489.0i 0.293924 + 1.12086i
649649 −14.1882 35.0451i −0.000858144 0.00211963i
650650 27527.9 + 7218.67i 1.66113 + 0.435599i
651651 316.538 269.472i 0.0190570 0.0162234i
652652 13264.6 25425.8i 0.796752 1.52722i
653653 3498.25 + 21637.9i 0.209643 + 1.29672i 0.849240 + 0.528007i 0.177061π0.177061\pi
−0.639596 + 0.768711i 0.720898π0.720898\pi
654654 −700.238 455.804i −0.0418677 0.0272528i
655655 1763.63 + 343.467i 0.105207 + 0.0204891i
656656 −5444.15 3066.09i −0.324022 0.182486i
657657 −7376.86 3848.51i −0.438050 0.228530i
658658 −16679.1 10110.9i −0.988173 0.599036i
659659 8597.77 17853.4i 0.508227 1.05534i −0.476166 0.879356i 0.657974π-0.657974\pi
0.984392 0.175988i 0.0563120π-0.0563120\pi
660660 42.2492 + 9.64311i 0.00249174 + 0.000568724i
661661 −4264.46 14368.4i −0.250935 0.845484i −0.985894 0.167372i 0.946472π-0.946472\pi
0.734959 0.678112i 0.237202π-0.237202\pi
662662 −21360.8 14900.4i −1.25410 0.874804i
663663 856.298 1005.86i 0.0501597 0.0589204i
664664 2024.24 + 15699.6i 0.118307 + 0.917563i
665665 103.074 9.94341i 0.00601058 0.000579833i
666666 −9898.78 + 17576.3i −0.575931 + 1.02262i
667667 0.431454 1.45371i 2.50464e−5 8.43896e-5i
668668 −28138.2 + 22439.5i −1.62979 + 1.29972i
669669 −116.453 42.8558i −0.00672994 0.00247668i
670670 1362.76 + 404.460i 0.0785790 + 0.0233218i
671671 −660.056 + 106.713i −0.0379749 + 0.00613949i
672672 −81.8158 222.320i −0.00469660 0.0127622i
673673 −6500.00 2877.36i −0.372298 0.164805i 0.210158 0.977667i 0.432602π-0.432602\pi
−0.582456 + 0.812862i 0.697908π0.697908\pi
674674 −2860.66 12533.4i −0.163485 0.716273i
675675 −669.970 1391.21i −0.0382032 0.0793297i
676676 −285.176 + 2956.14i −0.0162253 + 0.168192i
677677 26294.2 18341.7i 1.49271 1.04125i 0.509154 0.860675i 0.329958π-0.329958\pi
0.983561 0.180578i 0.0577967π-0.0577967\pi
678678 −605.381 482.775i −0.0342913 0.0273464i
679679 5937.17 + 9793.99i 0.335564 + 0.553548i
680680 444.771 2283.80i 0.0250826 0.128794i
681681 −127.975 + 347.750i −0.00720120 + 0.0195680i
682682 −15406.1 + 15908.1i −0.865002 + 0.893186i
683683 −10907.6 10563.4i −0.611080 0.591798i 0.324077 0.946031i 0.394946π-0.394946\pi
−0.935157 + 0.354232i 0.884742π0.884742\pi
684684 4540.81 + 5693.99i 0.253833 + 0.318297i
685685 −423.106 + 650.005i −0.0236001 + 0.0362561i
686686 1319.65 + 20554.6i 0.0734466 + 1.14399i
687687 −730.895 + 242.674i −0.0405901 + 0.0134768i
688688 −5582.06 + 3143.76i −0.309323 + 0.174207i
689689 −26563.4 + 851.837i −1.46877 + 0.0471007i
690690 2.22036 0.0712025i 0.000122504 3.92845e-6i
691691 −6092.02 + 3430.96i −0.335386 + 0.188886i −0.649236 0.760587i 0.724911π-0.724911\pi
0.313851 + 0.949472i 0.398381π0.398381\pi
692692 41614.8 13817.1i 2.28606 0.759025i
693693 −218.729 3406.88i −0.0119896 0.186748i
694694 19410.8 29820.1i 1.06170 1.63106i
695695 −459.979 576.795i −0.0251050 0.0314807i
696696 2.40435 + 2.32848i 0.000130943 + 0.000126812i
697697 −37810.0 + 39041.9i −2.05474 + 2.12169i
698698 −3099.85 + 8423.28i −0.168096 + 0.456771i
699699 260.866 1339.49i 0.0141157 0.0724809i
700700 6115.13 + 10087.6i 0.330186 + 0.544677i
701701 −7562.49 6030.89i −0.407463 0.324941i 0.398218 0.917291i 0.369629π-0.369629\pi
−0.805681 + 0.592350i 0.798200π0.798200\pi
702702 2327.82 1623.79i 0.125154 0.0873018i
703703 −305.397 + 3165.76i −0.0163845 + 0.169842i
704704 6327.29 + 13138.7i 0.338734 + 0.703388i
705705 −23.3385 102.252i −0.00124678 0.00546248i
706706 13243.7 + 5862.57i 0.705994 + 0.312522i
707707 543.490 + 1476.84i 0.0289110 + 0.0785605i
708708 6.42474 1.03870i 0.000341040 5.51367e-5i
709709 −28000.2 8310.32i −1.48317 0.440198i −0.561275 0.827629i 0.689689π-0.689689\pi
−0.921899 + 0.387431i 0.873363π0.873363\pi
710710 −718.460 264.400i −0.0379765 0.0139757i
711711 −5998.19 + 4783.40i −0.316385 + 0.252309i
712712 −1024.78 + 3452.83i −0.0539400 + 0.181742i
713713 −351.382 + 623.913i −0.0184563 + 0.0327710i
714714 864.077 83.3565i 0.0452903 0.00436910i
715715 86.6163 + 671.779i 0.00453044 + 0.0351372i
716716 −14224.9 + 16709.4i −0.742472 + 0.872150i
717717 891.259 + 621.704i 0.0464221 + 0.0323821i
718718 −1338.89 4511.17i −0.0695919 0.234478i
719719 2622.37 + 598.539i 0.136019 + 0.0310456i 0.289989 0.957030i 0.406348π-0.406348\pi
−0.153969 + 0.988076i 0.549206π0.549206\pi
720720 118.577 246.227i 0.00613763 0.0127449i
721721 6857.30 + 4156.94i 0.354201 + 0.214719i
722722 −26692.1 13925.2i −1.37587 0.717789i
723723 −278.625 156.919i −0.0143322 0.00807174i
724724 −26349.6 5131.59i −1.35259 0.263417i
725725 57.5312 + 37.4487i 0.00294711 + 0.00191836i
726726 170.457 + 1054.33i 0.00871382 + 0.0538981i
727727 −5422.69 + 10394.3i −0.276639 + 0.530265i −0.984347 0.176239i 0.943607π-0.943607\pi
0.707708 + 0.706505i 0.249729π0.249729\pi
728728 −6845.33 + 5827.52i −0.348496 + 0.296679i
729729 18815.8 + 4934.07i 0.955939 + 0.250677i
730730 407.107 + 1005.56i 0.0206407 + 0.0509830i
731731 14135.2 + 53903.7i 0.715198 + 2.72736i
732732 7.37413 114.858i 0.000372344 0.00579956i
733733 −103.040 76.9004i −0.00519216 0.00387501i 0.595511 0.803347i 0.296949π-0.296949\pi
−0.600703 + 0.799472i 0.705113π0.705113\pi
734734 −2735.06 + 16917.3i −0.137538 + 0.850722i
735735 −34.4222 + 37.9026i −0.00172746 + 0.00190212i
736736 264.514 + 310.713i 0.0132474 + 0.0155612i
737737 −709.505 7354.76i −0.0354612 0.367593i
738738 −49879.9 + 30237.5i −2.48794 + 1.50821i
739739 −28588.3 + 1835.43i −1.42305 + 0.0913630i −0.756451 0.654051i 0.773068π-0.773068\pi
−0.666602 + 0.745414i 0.732252π0.732252\pi
740740 1556.90 572.952i 0.0773414 0.0284623i
741741 115.874 191.147i 0.00574459 0.00947631i
742742 −12929.1 11741.9i −0.639681 0.580941i
743743 3775.06 11369.9i 0.186398 0.561401i −0.813396 0.581711i 0.802384π-0.802384\pi
0.999794 + 0.0203098i 0.00646524π0.00646524\pi
744744 −862.228 1324.61i −0.0424876 0.0652724i
745745 −781.536 + 583.275i −0.0384339 + 0.0286840i
746746 −21747.6 41686.1i −1.06734 2.04590i
747747 14991.2 + 6069.25i 0.734267 + 0.297272i
748748 −28631.4 + 5575.96i −1.39955 + 0.272563i
749749 822.561 + 273.109i 0.0401278 + 0.0133233i
750750 −51.1347 + 194.999i −0.00248957 + 0.00949380i
751751 −7065.46 + 910.991i −0.343305 + 0.0442643i −0.297600 0.954691i 0.596186π-0.596186\pi
−0.0457054 + 0.998955i 0.514554π0.514554\pi
752752 −5060.21 + 6345.30i −0.245381 + 0.307698i
753753 459.120 + 1382.80i 0.0222195 + 0.0669215i
754754 −51.0739 + 115.377i −0.00246685 + 0.00557265i
755755 2184.84 + 1052.16i 0.105317 + 0.0507180i
756756 1161.38 + 187.763i 0.0558717 + 0.00903290i
757757 3631.51 + 18647.1i 0.174359 + 0.895296i 0.960718 + 0.277526i 0.0895145π0.0895145\pi
−0.786359 + 0.617769i 0.788036π0.788036\pi
758758 15253.8 13853.1i 0.730928 0.663809i
759759 −4.67409 10.5589i −0.000223529 0.000504957i
760760 12.6189 393.505i 0.000602285 0.0187815i
761761 −409.276 + 3174.27i −0.0194957 + 0.151205i −0.998652 0.0519025i 0.983471π-0.983471\pi
0.979156 + 0.203108i 0.0651041π0.0651041\pi
762762 −1352.77 1489.54i −0.0643117 0.0708143i
763763 4536.68 2953.05i 0.215254 0.140115i
764764 45212.7 18304.6i 2.14102 0.866803i
765765 −1810.12 1540.98i −0.0855490 0.0728289i
766766 16683.4 + 23916.9i 0.786938 + 1.12814i
767767 49.9172 + 88.6330i 0.00234994 + 0.00417256i
768768 −1207.54 + 275.612i −0.0567359 + 0.0129496i
769769 −8610.85 + 37726.6i −0.403791 + 1.76912i 0.208026 + 0.978123i 0.433296π0.433296\pi
−0.611817 + 0.790999i 0.709561π0.709561\pi
770770 −266.229 + 356.723i −0.0124600 + 0.0166953i
771771 −373.177 + 921.754i −0.0174314 + 0.0430560i
772772 27690.2 + 3570.26i 1.29092 + 0.166446i
773773 −25907.7 + 25090.2i −1.20548 + 1.16744i −0.224265 + 0.974528i 0.571998π0.571998\pi
−0.981216 + 0.192915i 0.938206π0.938206\pi
774774 59806.9i 2.77741i
775775 −22550.8 23285.6i −1.04523 1.07928i
776776 39817.7 17626.1i 1.84198 0.815388i
777777 153.493 + 205.667i 0.00708691 + 0.00949582i
778778 −26744.7 + 7013.30i −1.23245 + 0.323186i
779779 −5261.52 + 7542.78i −0.241994 + 0.346917i
780780 −116.056 11.1958i −0.00532751 0.000513939i
781781 127.545 + 3977.31i 0.00584366 + 0.182227i
782782 −1347.21 + 648.782i −0.0616063 + 0.0296680i
783783 6.56315 1.94791i 0.000299550 8.89049e-5i
784784 3953.84 + 253.845i 0.180113 + 0.0115636i
785785 −1453.47 + 758.273i −0.0660847 + 0.0344763i
786786 2547.44 + 81.6913i 0.115603 + 0.00370717i
787787 −24861.8 −1.12609 −0.563043 0.826428i 0.690369π-0.690369\pi
−0.563043 + 0.826428i 0.690369π0.690369\pi
788788 −37381.8 5522.06i −1.68994 0.249639i
789789 −140.071 −0.00632022
790790 999.788 + 32.0613i 0.0450264 + 0.00144391i
791791 4447.71 2320.37i 0.199927 0.104302i
792792 −12953.0 831.609i −0.581141 0.0373105i
793793 1724.58 511.846i 0.0772278 0.0229208i
794794 −11366.1 + 5473.61i −0.508018 + 0.244649i
795795 −3.01018 93.8683i −0.000134289 0.00418763i
796796 1233.60 + 119.004i 0.0549295 + 0.00529899i
797797 −7689.08 + 11022.9i −0.341733 + 0.489900i −0.953607 0.301056i 0.902661π-0.902661\pi
0.611874 + 0.790955i 0.290416π0.290416\pi
798798 142.087 37.2596i 0.00630304 0.00165285i
799799 42224.3 + 56576.7i 1.86957 + 2.50506i
800800 −16891.4 + 7477.34i −0.746503 + 0.330455i
801801 2560.02 + 2643.43i 0.112926 + 0.116606i
802802 21033.5i 0.926081i
803803 4050.73 3922.91i 0.178016 0.172399i
804804 1261.45 + 162.646i 0.0553334 + 0.00713445i
805805 −5.40106 + 13.3407i −0.000236475 + 0.000584098i
806806 35636.6 47749.7i 1.55737 2.08674i
807807 281.742 1234.39i 0.0122897 0.0538446i
808808 5833.10 1331.37i 0.253970 0.0579670i
809809 −13632.8 24206.3i −0.592462 1.05198i −0.990877 0.134771i 0.956970π-0.956970\pi
0.398414 0.917206i 0.369561π-0.369561\pi
810810 −1456.76 2088.38i −0.0631919 0.0905903i
811811 −31570.2 26876.1i −1.36693 1.16368i −0.969227 0.246170i 0.920828π-0.920828\pi
−0.397703 0.917514i 0.630193π-0.630193\pi
812812 −48.4786 + 19.6268i −0.00209515 + 0.000848234i
813813 −903.934 + 588.396i −0.0389943 + 0.0253825i
814814 −9191.09 10120.4i −0.395759 0.435774i
815815 −202.552 + 1570.95i −0.00870561 + 0.0675190i
816816 11.5776 361.033i 0.000496688 0.0154886i
817817 3816.92 + 8622.50i 0.163448 + 0.369233i
818818 −21585.6 + 19603.4i −0.922643 + 0.837920i
819819 1755.80 + 9015.67i 0.0749116 + 0.384655i
820820 4735.58 + 765.612i 0.201675 + 0.0326053i
821821 −19944.0 9604.52i −0.847807 0.408282i −0.0410441 0.999157i 0.513068π-0.513068\pi
−0.806763 + 0.590875i 0.798783π0.798783\pi
822822 −445.333 + 1006.01i −0.0188963 + 0.0426871i
823823 8689.51 + 26171.4i 0.368041 + 1.10848i 0.954426 + 0.298448i 0.0964688π0.0964688\pi
−0.586385 + 0.810032i 0.699450π0.699450\pi
824824 19008.9 23836.4i 0.803649 1.00774i
825825 518.440 66.8455i 0.0218785 0.00282092i
826826 −16.9562 + 64.6613i −0.000714264 + 0.00272380i
827827 −1805.27 599.392i −0.0759076 0.0252030i 0.276902 0.960898i 0.410692π-0.410692\pi
−0.352810 + 0.935695i 0.614774π0.614774\pi
828828 −993.570 + 193.498i −0.0417016 + 0.00812139i
829829 21477.7 + 8695.34i 0.899819 + 0.364296i 0.778006 0.628257i 0.216231π-0.216231\pi
0.121813 + 0.992553i 0.461129π0.461129\pi
830830 −975.363 1869.59i −0.0407896 0.0781860i
831831 −578.555 + 431.787i −0.0241515 + 0.0180247i
832832 −21404.2 32882.5i −0.891894 1.37019i
833833 10859.6 32707.4i 0.451696 1.36044i
834834 −774.709 703.570i −0.0321654 0.0292118i
835835 1030.48 1699.88i 0.0427079 0.0704512i
836836 −4632.09 + 1704.65i −0.191632 + 0.0705222i
837837 −3226.18 + 207.128i −0.133229 + 0.00855361i
838838 64834.3 39302.9i 2.67263 1.62016i
839839 −2140.87 22192.3i −0.0880940 0.913187i −0.928525 0.371269i 0.878923π-0.878923\pi
0.840431 0.541918i 0.182302π-0.182302\pi
840840 −20.5930 24.1897i −0.000845863 0.000993598i
841841 16396.5 18054.4i 0.672293 0.740269i
842842 −7501.55 + 46399.8i −0.307032 + 1.89910i
843843 1218.42 + 909.333i 0.0497803 + 0.0371520i
844844 2097.69 32673.2i 0.0855515 1.33253i
845845 −41.6079 158.669i −0.00169391 0.00645962i
846846 28432.3 + 70228.4i 1.15547 + 2.85402i
847847 −6693.19 1755.16i −0.271524 0.0712019i
848848 −5533.75 + 4710.95i −0.224091 + 0.190772i
849849 654.208 1253.99i 0.0264456 0.0506913i
850850 −10803.4 66823.1i −0.435947 2.69649i
851851 −370.474 241.152i −0.0149233 0.00971396i
852852 −672.358 130.942i −0.0270359 0.00526524i
853853 24631.3 + 13872.1i 0.988700 + 0.556825i 0.898442 0.439093i 0.144700π-0.144700\pi
0.0902581 + 0.995918i 0.471231π0.471231\pi
854854 1048.12 + 546.802i 0.0419975 + 0.0219100i
855855 −343.984 208.525i −0.0137591 0.00834082i
856856 1429.76 2968.93i 0.0570890 0.118547i
857857 −24971.8 5699.65i −0.995357 0.227184i −0.306335 0.951924i 0.599103π-0.599103\pi
−0.689022 + 0.724740i 0.741960π0.741960\pi
858858 273.380 + 921.107i 0.0108777 + 0.0366504i
859859 −34121.5 23801.7i −1.35531 0.945404i −0.999943 0.0106762i 0.996602π-0.996602\pi
−0.355365 0.934728i 0.615643π-0.615643\pi
860860 3188.37 3745.24i 0.126422 0.148502i
861861 94.8936 + 735.976i 0.00375606 + 0.0291312i
862862 65247.7 6294.37i 2.57813 0.248709i
863863 18076.3 32096.2i 0.713005 1.26601i −0.242246 0.970215i 0.577884π-0.577884\pi
0.955251 0.295797i 0.0955854π-0.0955854\pi
864864 −524.178 + 1766.13i −0.0206399 + 0.0695428i
865865 −1893.50 + 1510.01i −0.0744287 + 0.0593549i
866866 −38644.1 14221.4i −1.51637 0.558039i
867867 −1928.74 572.439i −0.0755518 0.0224234i
868868 24380.6 3941.66i 0.953377 0.154135i
869869 −1795.72 4879.55i −0.0700986 0.190480i
870870 −0.407713 0.180482i −1.58882e−5 7.03325e-6i
871871 4423.67 + 19381.4i 0.172090 + 0.753975i
872872 −8929.67 18542.7i −0.346785 0.720107i
873873 4272.04 44284.2i 0.165621 1.71683i
874874 −207.521 + 144.757i −0.00803146 + 0.00560240i
875875 −1021.13 814.321i −0.0394518 0.0314618i
876876 503.185 + 830.057i 0.0194076 + 0.0320149i
877877 4413.82 22664.0i 0.169948 0.872646i −0.794276 0.607557i 0.792150π-0.792150\pi
0.964224 0.265089i 0.0854013π-0.0854013\pi
878878 134.916 366.610i 0.00518587 0.0140917i
879879 −105.624 + 109.065i −0.00405302 + 0.00418507i
880880 133.050 + 128.852i 0.00509673 + 0.00493590i
881881 −8844.24 11090.3i −0.338218 0.424112i 0.583415 0.812174i 0.301716π-0.301716\pi
−0.921633 + 0.388062i 0.873145π0.873145\pi
882882 20177.5 30998.1i 0.770310 1.18340i
883883 1510.15 + 23521.9i 0.0575546 + 0.896459i 0.920397 + 0.390986i 0.127866π0.127866\pi
−0.862842 + 0.505473i 0.831318π0.831318\pi
884884 74481.7 24729.6i 2.83381 0.940890i
885885 −0.313207 + 0.176395i −1.18964e−5 + 6.69993e-6i
886886 18174.4 582.817i 0.689143 0.0220995i
887887 625.084 20.0452i 0.0236621 0.000758796i −0.0202183 0.999796i 0.506436π-0.506436\pi
0.0438804 + 0.999037i 0.486028π0.486028\pi
888888 850.154 478.798i 0.0321276 0.0180939i
889889 12372.1 4107.82i 0.466757 0.154974i
890890 −30.7406 478.810i −0.00115778 0.0180334i
891891 −7220.31 + 11092.3i −0.271481 + 0.417068i
892892 −4596.43 5763.74i −0.172534 0.216350i
893893 8581.19 + 8310.42i 0.321566 + 0.311420i
894894 −962.362 + 993.718i −0.0360025 + 0.0371755i
895895 418.597 1137.46i 0.0156337 0.0424818i
896896 3353.85 17221.3i 0.125049 0.642101i
897897 16.1052 + 26.5672i 0.000599483 + 0.000988909i
898898 57697.5 + 46012.2i 2.14409 + 1.70985i
899899 117.874 82.2240i 0.00437300 0.00305041i
900900 4400.09 45611.6i 0.162966 1.68932i
901901 27428.1 + 56955.0i 1.01416 + 2.10593i
902902 −8796.52 38540.1i −0.324714 1.42267i
903903 695.746 + 307.986i 0.0256401 + 0.0113501i
904904 −6587.19 17899.5i −0.242353 0.658550i
905905 1463.70 236.639i 0.0537623 0.00869188i
906906 3297.71 + 978.744i 0.120926 + 0.0358903i
907907 45996.9 + 16927.3i 1.68391 + 0.619693i 0.994505 0.104687i 0.0333840π-0.0333840\pi
0.689401 + 0.724380i 0.257874π0.257874\pi
908908 −17211.6 + 13725.8i −0.629061 + 0.501659i
909909 1739.31 5860.31i 0.0634646 0.213833i
910910 587.675 1043.48i 0.0214079 0.0380120i
911911 25349.7 2445.46i 0.921925 0.0889370i 0.375857 0.926678i 0.377349π-0.377349\pi
0.546068 + 0.837741i 0.316124π0.316124\pi
912912 −7.81617 60.6207i −0.000283793 0.00220104i
913913 −7105.19 + 8346.16i −0.257555 + 0.302539i
914914 19566.3 + 13648.6i 0.708091 + 0.493933i
915915 1.80873 + 6.09423i 6.53496e−5 + 0.000220185i
916916 −44606.3 10181.1i −1.60899 0.367241i
917917 −7164.62 + 14877.5i −0.258011 + 0.535766i
918918 −5772.95 3499.60i −0.207555 0.125821i
919919 −8506.64 4437.91i −0.305341 0.159296i 0.302959 0.953004i 0.402026π-0.402026\pi
−0.608299 + 0.793708i 0.708148π0.708148\pi
920920 47.6792 + 26.8524i 0.00170863 + 0.000962281i
921921 1604.63 + 312.502i 0.0574097 + 0.0111805i
922922 −50763.7 33043.5i −1.81325 1.18029i
923923 −1708.74 10569.2i −0.0609360 0.376911i
924924 −184.214 + 353.103i −0.00655865 + 0.0125717i
925925 15237.4 12971.8i 0.541625 0.461092i
926926 16701.3 + 4379.59i 0.592698 + 0.155424i
927927 −11689.5 28873.2i −0.414166 1.02300i
928928 −20.7744 79.2219i −0.000734865 0.00280236i
929929 −29.6602 + 461.982i −0.00104749 + 0.0163155i −0.998436 0.0559103i 0.982194π-0.982194\pi
0.997388 + 0.0722258i 0.0230102π0.0230102\pi
930930 168.735 + 125.931i 0.00594952 + 0.00444024i
931931 930.717 5756.82i 0.0327637 0.202655i
932932 54506.4 60017.6i 1.91568 2.10938i
933933 186.239 + 218.767i 0.00653505 + 0.00767644i
934934 2660.29 + 27576.7i 0.0931985 + 0.966100i
935935 1377.72 835.180i 0.0481884 0.0292121i
936936 34849.9 2237.44i 1.21699 0.0781335i
937937 −45137.8 + 16611.1i −1.57373 + 0.579148i −0.975079 0.221860i 0.928787π-0.928787\pi
−0.598654 + 0.801008i 0.704297π0.704297\pi
938938 −6772.32 + 11171.7i −0.235740 + 0.388878i
939939 −487.824 443.029i −0.0169537 0.0153969i
940940 1963.46 5913.62i 0.0681287 0.205193i
941941 −14685.8 22561.3i −0.508759 0.781590i 0.487018 0.873392i 0.338084π-0.338084\pi
−0.995777 + 0.0918013i 0.970738π0.970738\pi
942942 −1863.67 + 1390.90i −0.0644605 + 0.0481081i
943943 −591.225 1133.27i −0.0204167 0.0391349i
944944 25.7829 + 10.4384i 0.000888944 + 0.000359893i
945945 −63.7807 + 12.4213i −0.00219554 + 0.000427582i
946946 −38467.7 12772.2i −1.32209 0.438963i
947947 −1262.08 + 4812.86i −0.0433074 + 0.165150i −0.985418 0.170154i 0.945574π-0.945574\pi
0.942110 + 0.335304i 0.108839π0.108839\pi
948948 887.670 114.452i 0.0304116 0.00392114i
949949 −9459.30 + 11861.6i −0.323563 + 0.405736i
950950 −3609.28 10870.6i −0.123264 0.371251i
951951 −506.868 + 1145.02i −0.0172832 + 0.0390431i
952952 19265.5 + 9277.77i 0.655881 + 0.315855i
953953 −30475.4 4927.02i −1.03588 0.167473i −0.382071 0.924133i 0.624789π-0.624789\pi
−0.653809 + 0.756660i 0.726830π0.726830\pi
954954 12969.0 + 66593.2i 0.440134 + 2.25999i
955955 −1994.39 + 1811.25i −0.0675780 + 0.0613726i
956956 26132.6 + 59034.0i 0.884088 + 1.99717i
957957 −0.0742832 + 2.31642i −2.50913e−6 + 7.82438e-5i
958958 −7733.64 + 59980.6i −0.260817 + 2.02284i
959959 −4792.02 5276.55i −0.161358 0.177673i
960960 116.199 75.6369i 0.00390656 0.00254289i
961961 −35292.2 + 14288.2i −1.18466 + 0.479616i
962962 28007.5 + 23843.1i 0.938667 + 0.799099i
963963 −1926.19 2761.34i −0.0644556 0.0924020i
964964 −9322.56 16553.2i −0.311473 0.553051i
965965 −1503.40 + 343.141i −0.0501515 + 0.0114468i
966966 −4.54302 + 19.9043i −0.000151314 + 0.000662950i
967967 −6914.38 + 9264.64i −0.229939 + 0.308098i −0.901438 0.432908i 0.857488π-0.857488\pi
0.671499 + 0.741006i 0.265651π0.265651\pi
968968 −9872.51 + 24385.3i −0.327804 + 0.809683i
969969 −527.306 67.9886i −0.0174814 0.00225398i
970970 −4166.97 + 4035.48i −0.137931 + 0.133579i
971971 36769.1i 1.21522i 0.794237 + 0.607608i 0.207871π0.207871\pi
−0.794237 + 0.607608i 0.792129π0.792129\pi
972972 −4770.47 4925.90i −0.157421 0.162550i
973973 6199.82 2744.48i 0.204272 0.0904253i
974974 −38417.3 51475.6i −1.26383 1.69341i
975975 −1360.41 + 356.741i −0.0446851 + 0.0117178i
976976 281.432 403.453i 0.00922992 0.0132318i
977977 2881.73 + 277.997i 0.0943651 + 0.00910329i 0.143098 0.989709i 0.454294π-0.454294\pi
−0.0487325 + 0.998812i 0.515518π0.515518\pi
978978 72.0157 + 2245.71i 0.00235461 + 0.0734254i
979979 −2246.96 + 1082.08i −0.0733536 + 0.0353252i
980980 −2916.11 + 865.485i −0.0950527 + 0.0282111i
981981 −20984.3 1347.24i −0.682954 0.0438471i
982982 −3913.18 + 2041.50i −0.127163 + 0.0663411i
983983 1963.99 + 62.9814i 0.0637250 + 0.00204354i 0.0638978 0.997956i 0.479647π-0.479647\pi
−0.000172811 1.00000i 0.500055π0.500055\pi
984984 2821.35 0.0914038
985985 2042.99 426.843i 0.0660863 0.0138075i
986986 300.118 0.00969340
987987 963.399 + 30.8943i 0.0310692 + 0.000996330i
988988 11773.8 6142.38i 0.379124 0.197788i
989989 −1307.91 83.9703i −0.0420515 0.00269980i
990990 1657.61 491.969i 0.0532143 0.0157937i
991991 27657.7 13319.3i 0.886556 0.426943i 0.0655415 0.997850i 0.479123π-0.479123\pi
0.821015 + 0.570907i 0.193408π0.193408\pi
992992 1239.58 + 38654.6i 0.0396740 + 1.23718i
993993 1281.14 + 123.590i 0.0409425 + 0.00394967i
994994 4025.28 5770.54i 0.128445 0.184135i
995995 −66.2127 + 17.3630i −0.00210963 + 0.000553211i
996996 −1128.50 1512.08i −0.0359014 0.0481046i
997997 −26423.5 + 11696.9i −0.839359 + 0.371559i −0.779312 0.626636i 0.784431π-0.784431\pi
−0.0600470 + 0.998196i 0.519125π0.519125\pi
998998 −20613.2 21284.8i −0.653806 0.675109i
999999 1995.73i 0.0632054i
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 197.4.h.a.4.6 2016
197.148 even 98 inner 197.4.h.a.148.6 yes 2016
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
197.4.h.a.4.6 2016 1.1 even 1 trivial
197.4.h.a.148.6 yes 2016 197.148 even 98 inner