LMFDB - Embedded newform 672.2.cf.a.619.23

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [672,2,Mod(19,672)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(672, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([12, 21, 0, 20]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("672.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 672 = 2^{5} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	672.cf (of order $24$, degree $8$, 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:	$5.36594701583$
Analytic rank:	$0$
Dimension:	$512$
Relative dimension:	$64$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			619.23
Character	$\chi$	$=$	672.619
Dual form			672.2.cf.a.355.23

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.630555 + 1.26586i) q^{2} +(0.130526 - 0.991445i) q^{3} +(-1.20480 - 1.59639i) q^{4} +(0.0526992 + 0.400290i) q^{5} +(1.17273 + 0.790389i) q^{6} +(2.10490 - 1.60294i) q^{7} +(2.78050 - 0.518496i) q^{8} +(-0.965926 - 0.258819i) q^{9} +O(q^{10})$	\(q+(-0.630555 + 1.26586i) q^{2} +(0.130526 - 0.991445i) q^{3} +(-1.20480 - 1.59639i) q^{4} +(0.0526992 + 0.400290i) q^{5} +(1.17273 + 0.790389i) q^{6} +(2.10490 - 1.60294i) q^{7} +(2.78050 - 0.518496i) q^{8} +(-0.965926 - 0.258819i) q^{9} +(-0.539941 - 0.185695i) q^{10} +(2.92201 + 3.80804i) q^{11} +(-1.73999 + 0.986122i) q^{12} +(-6.09283 + 2.52373i) q^{13} +(0.701844 + 3.67524i) q^{14} +0.403744 q^{15} +(-1.09691 + 3.84666i) q^{16} +(2.33892 - 4.05113i) q^{17} +(0.936698 - 1.05953i) q^{18} +(2.66746 - 3.47630i) q^{19} +(0.575527 - 0.566398i) q^{20} +(-1.31448 - 2.29611i) q^{21} +(-6.66294 + 1.29768i) q^{22} +(0.913419 - 3.40893i) q^{23} +(-0.151133 - 2.82439i) q^{24} +(4.67217 - 1.25191i) q^{25} +(0.647175 - 9.30401i) q^{26} +(-0.382683 + 0.923880i) q^{27} +(-5.09489 - 1.42901i) q^{28} +(7.84742 - 3.25051i) q^{29} +(-0.254583 + 0.511084i) q^{30} +(1.42230 - 2.46350i) q^{31} +(-4.17766 - 3.81407i) q^{32} +(4.15686 - 2.39997i) q^{33} +(3.65334 + 5.51521i) q^{34} +(0.752568 + 0.758095i) q^{35} +(0.750572 + 1.85382i) q^{36} +(0.145472 - 0.0191517i) q^{37} +(2.71853 + 5.56863i) q^{38} +(1.70687 + 6.37011i) q^{39} +(0.354079 + 1.08568i) q^{40} +(2.76133 + 2.76133i) q^{41} +(3.73541 - 0.216124i) q^{42} +(-3.32910 + 8.03716i) q^{43} +(2.55867 - 9.25260i) q^{44} +(0.0526992 - 0.400290i) q^{45} +(3.73926 + 3.30578i) q^{46} +(-4.10242 + 2.36853i) q^{47} +(3.67057 + 1.58962i) q^{48} +(1.86117 - 6.74804i) q^{49} +(-1.36133 + 6.70371i) q^{50} +(-3.71118 - 2.84769i) q^{51} +(11.3695 + 6.68593i) q^{52} +(9.48561 - 7.27856i) q^{53} +(-0.928199 - 1.06698i) q^{54} +(-1.37033 + 1.37033i) q^{55} +(5.02153 - 5.54835i) q^{56} +(-3.09839 - 3.09839i) q^{57} +(-0.833546 + 11.9834i) q^{58} +(3.01065 + 3.92356i) q^{59} +(-0.486431 - 0.644533i) q^{60} +(1.33131 - 1.73500i) q^{61} +(2.22160 + 3.35380i) q^{62} +(-2.44804 + 1.00353i) q^{63} +(7.46232 - 2.88335i) q^{64} +(-1.33131 - 2.30590i) q^{65} +(0.416888 + 6.77532i) q^{66} +(0.542438 + 0.0714133i) q^{67} +(-9.28511 + 1.14697i) q^{68} +(-3.26054 - 1.35056i) q^{69} +(-1.43418 + 0.474624i) q^{70} +(-1.15761 + 1.15761i) q^{71} +(-2.81995 - 0.218817i) q^{72} +(-3.75469 + 1.00607i) q^{73} +(-0.0674847 + 0.196223i) q^{74} +(-0.631354 - 4.79561i) q^{75} +(-8.76329 - 0.0700544i) q^{76} +(12.2546 + 3.33172i) q^{77} +(-9.13994 - 1.85606i) q^{78} +(-6.24600 - 10.8184i) q^{79} +(-1.59759 - 0.236368i) q^{80} +(0.866025 + 0.500000i) q^{81} +(-5.23662 + 1.75428i) q^{82} +(-1.36714 - 3.30057i) q^{83} +(-2.08180 + 4.86478i) q^{84} +(1.74489 + 0.722756i) q^{85} +(-8.07474 - 9.28205i) q^{86} +(-2.19840 - 8.20456i) q^{87} +(10.0991 + 9.07320i) q^{88} +(2.02177 + 0.541731i) q^{89} +(0.473481 + 0.319115i) q^{90} +(-8.77937 + 15.0786i) q^{91} +(-6.54246 + 2.64890i) q^{92} +(-2.25677 - 1.73168i) q^{93} +(-0.411427 - 6.68657i) q^{94} +(1.53210 + 0.884560i) q^{95} +(-4.32673 + 3.64409i) q^{96} -10.5486i q^{97} +(7.36850 + 6.61099i) q^{98} +(-1.83685 - 4.43456i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 512 q+O(q^{10}) $ 512 * q	$ 512 q + 64 q^{14} + 8 q^{16} - 8 q^{18} - 16 q^{22} - 16 q^{23} - 40 q^{28} + 48 q^{35} + 32 q^{43} + 8 q^{44} + 48 q^{50} - 72 q^{52} + 32 q^{53} + 32 q^{58} - 192 q^{59} - 48 q^{60} + 144 q^{64} - 144 q^{66} - 16 q^{67} - 72 q^{70} + 128 q^{71} + 32 q^{74} + 48 q^{78} - 72 q^{80} - 120 q^{82} + 88 q^{88} - 48 q^{91} + 128 q^{92} - 72 q^{94} - 120 q^{96} - 136 q^{98}+O(q^{100}) $ 512 * q + 64 * q^14 + 8 * q^16 - 8 * q^18 - 16 * q^22 - 16 * q^23 - 40 * q^28 + 48 * q^35 + 32 * q^43 + 8 * q^44 + 48 * q^50 - 72 * q^52 + 32 * q^53 + 32 * q^58 - 192 * q^59 - 48 * q^60 + 144 * q^64 - 144 * q^66 - 16 * q^67 - 72 * q^70 + 128 * q^71 + 32 * q^74 + 48 * q^78 - 72 * q^80 - 120 * q^82 + 88 * q^88 - 48 * q^91 + 128 * q^92 - 72 * q^94 - 120 * q^96 - 136 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/672\mathbb{Z}\right)^\times$.

$n$	$127$	$421$	$449$	$577$
$\chi(n)$	$-1$	$e\left(\frac{5}{8}\right)$	$1$	$e\left(\frac{1}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.630555	+	1.26586i	−0.445870	+	0.895098i
$2$	−0.630555	+	1.26586i	−0.445870	+	0.895098i
$3$	0.130526	−	0.991445i	0.0753593	−	0.572411i
$3$	0.130526	−	0.991445i	0.0753593	−	0.572411i
$4$	−1.20480	−	1.59639i	−0.602400	−	0.798194i
$5$	0.0526992	+	0.400290i	0.0235678	+	0.179015i	0.999180	−	0.0404856i	$-0.0128905\pi$
$5$	0.0526992	+	0.400290i	0.0235678	+	0.179015i	−0.975612	+	0.219501i	$0.929557\pi$
$6$	1.17273	+	0.790389i	0.478763	+	0.322675i
$7$	2.10490	−	1.60294i	0.795576	−	0.605854i
$7$	2.10490	−	1.60294i	0.795576	−	0.605854i
$8$	2.78050	−	0.518496i	0.983054	−	0.183316i
$9$	−0.965926	−	0.258819i	−0.321975	−	0.0862730i
$10$	−0.539941	−	0.185695i	−0.170744	−	0.0587220i
$11$	2.92201	+	3.80804i	0.881020	+	1.14817i	0.988084	+	0.153916i	$0.0491885\pi$
$11$	2.92201	+	3.80804i	0.881020	+	1.14817i	−0.107064	+	0.994252i	$0.534145\pi$
$12$	−1.73999	+	0.986122i	−0.502292	+	0.284669i
$13$	−6.09283	+	2.52373i	−1.68985	+	0.699957i	−0.999718	−	0.0237307i	$-0.992446\pi$
$13$	−6.09283	+	2.52373i	−1.68985	+	0.699957i	−0.690128	+	0.723688i	$0.742446\pi$
$14$	0.701844	+	3.67524i	0.187576	+	0.982250i
$15$	0.403744			0.104246
$16$	−1.09691	+	3.84666i	−0.274228	+	0.961665i
$17$	2.33892	−	4.05113i	0.567272	−	0.982543i	−0.429563	−	0.903037i	$-0.641332\pi$
$17$	2.33892	−	4.05113i	0.567272	−	0.982543i	0.996834	−	0.0795063i	$-0.0253344\pi$
$18$	0.936698	−	1.05953i	0.220782	−	0.249733i
$19$	2.66746	−	3.47630i	0.611957	−	0.797518i	−0.379879	−	0.925036i	$-0.624034\pi$
$19$	2.66746	−	3.47630i	0.611957	−	0.797518i	0.991836	+	0.127518i	$0.0407010\pi$
$20$	0.575527	−	0.566398i	0.128692	−	0.126650i
$21$	−1.31448	−	2.29611i	−0.286844	−	0.501053i
$22$	−6.66294	+	1.29768i	−1.42054	+	0.276666i
$23$	0.913419	−	3.40893i	0.190461	−	0.710810i	−0.802934	−	0.596068i	$-0.796729\pi$
$23$	0.913419	−	3.40893i	0.190461	−	0.710810i	0.993395	−	0.114743i	$-0.0366044\pi$
$24$	−0.151133	−	2.82439i	−0.0308499	−	0.576525i
$25$	4.67217	−	1.25191i	0.934435	−	0.250381i
$26$	0.647175	−	9.30401i	0.126921	−	1.82467i
$27$	−0.382683	+	0.923880i	−0.0736475	+	0.177801i
$28$	−5.09489	−	1.42901i	−0.962844	−	0.270057i
$29$	7.84742	−	3.25051i	1.45723	−	0.603604i	0.493323	−	0.869846i	$-0.335782\pi$
$29$	7.84742	−	3.25051i	1.45723	−	0.603604i	0.963906	+	0.266242i	$0.0857821\pi$
$30$	−0.254583	+	0.511084i	−0.0464803	+	0.0933107i
$31$	1.42230	−	2.46350i	0.255453	−	0.442457i	−0.709566	−	0.704639i	$-0.751109\pi$
$31$	1.42230	−	2.46350i	0.255453	−	0.442457i	0.965018	+	0.262182i	$0.0844422\pi$
$32$	−4.17766	−	3.81407i	−0.738514	−	0.674238i
$33$	4.15686	−	2.39997i	0.723617	−	0.417781i
$34$	3.65334	+	5.51521i	0.626543	+	0.945850i
$35$	0.752568	+	0.758095i	0.127207	+	0.128141i
$36$	0.750572	+	1.85382i	0.125095	+	0.308970i
$37$	0.145472	−	0.0191517i	0.0239154	−	0.00314853i	−0.118559	−	0.992947i	$-0.537827\pi$
$37$	0.145472	−	0.0191517i	0.0239154	−	0.00314853i	0.142474	+	0.989798i	$0.454494\pi$
$38$	2.71853	+	5.56863i	0.441004	+	0.903351i
$39$	1.70687	+	6.37011i	0.273317	+	1.02003i
$40$	0.354079	+	1.08568i	0.0559848	+	0.171661i
$41$	2.76133	+	2.76133i	0.431247	+	0.431247i	0.889052	−	0.457806i	$-0.151364\pi$
$41$	2.76133	+	2.76133i	0.431247	+	0.431247i	−0.457806	+	0.889052i	$0.651364\pi$
$42$	3.73541	−	0.216124i	0.576386	−	0.0333487i
$43$	−3.32910	+	8.03716i	−0.507683	+	1.22566i	0.437530	+	0.899204i	$0.355853\pi$
$43$	−3.32910	+	8.03716i	−0.507683	+	1.22566i	−0.945214	+	0.326452i	$0.894147\pi$
$44$	2.55867	−	9.25260i	0.385735	−	1.39488i
$45$	0.0526992	−	0.400290i	0.00785593	−	0.0596717i
$46$	3.73926	+	3.30578i	0.551324	+	0.487410i
$47$	−4.10242	+	2.36853i	−0.598399	+	0.345486i	−0.768411	−	0.639956i	$-0.778953\pi$
$47$	−4.10242	+	2.36853i	−0.598399	+	0.345486i	0.170012	+	0.985442i	$0.445619\pi$
$48$	3.67057	+	1.58962i	0.529802	+	0.229442i
$49$	1.86117	−	6.74804i	0.265881	−	0.964006i
$50$	−1.36133	+	6.70371i	−0.192521	+	0.948048i
$51$	−3.71118	−	2.84769i	−0.519669	−	0.398756i
$52$	11.3695	+	6.68593i	1.57667	+	0.927171i
$53$	9.48561	−	7.27856i	1.30295	−	0.999788i	0.304060	−	0.952653i	$-0.401658\pi$
$53$	9.48561	−	7.27856i	1.30295	−	0.999788i	0.998889	−	0.0471346i	$-0.0150090\pi$
$54$	−0.928199	−	1.06698i	−0.126312	−	0.145198i
$55$	−1.37033	+	1.37033i	−0.184776	+	0.184776i
$56$	5.02153	−	5.54835i	0.671031	−	0.741429i
$57$	−3.09839	−	3.09839i	−0.410392	−	0.410392i
$58$	−0.833546	+	11.9834i	−0.109450	+	1.57349i
$59$	3.01065	+	3.92356i	0.391954	+	0.510804i	0.947096	−	0.320952i	$-0.104003\pi$
$59$	3.01065	+	3.92356i	0.391954	+	0.510804i	−0.555142	+	0.831756i	$0.687336\pi$
$60$	−0.486431	−	0.644533i	−0.0627980	−	0.0832088i
$61$	1.33131	−	1.73500i	0.170457	−	0.222143i	−0.700311	−	0.713838i	$-0.746955\pi$
$61$	1.33131	−	1.73500i	0.170457	−	0.222143i	0.870768	+	0.491694i	$0.163622\pi$
$62$	2.22160	+	3.35380i	0.282144	+	0.425933i
$63$	−2.44804	+	1.00353i	−0.308425	+	0.126433i
$64$	7.46232	−	2.88335i	0.932790	−	0.360419i
$65$	−1.33131	−	2.30590i	−0.165129	−	0.286012i
$66$	0.416888	+	6.77532i	0.0513153	+	0.833984i
$67$	0.542438	+	0.0714133i	0.0662694	+	0.00872453i	0.163588	−	0.986529i	$-0.447693\pi$
$67$	0.542438	+	0.0714133i	0.0662694	+	0.00872453i	−0.0973186	+	0.995253i	$0.531027\pi$
$68$	−9.28511	+	1.14697i	−1.12598	+	0.139091i
$69$	−3.26054	−	1.35056i	−0.392523	−	0.162588i
$70$	−1.43418	+	0.474624i	−0.171417	+	0.0567284i
$71$	−1.15761	+	1.15761i	−0.137383	+	0.137383i	−0.772454	−	0.635071i	$-0.780971\pi$
$71$	−1.15761	+	1.15761i	−0.137383	+	0.137383i	0.635071	+	0.772454i	$0.280971\pi$
$72$	−2.81995	−	0.218817i	−0.332334	−	0.0257878i
$73$	−3.75469	+	1.00607i	−0.439453	+	0.117751i	−0.471760	−	0.881727i	$-0.656381\pi$
$73$	−3.75469	+	1.00607i	−0.439453	+	0.117751i	0.0323069	+	0.999478i	$0.489715\pi$
$74$	−0.0674847	+	0.196223i	−0.00784493	+	0.0228105i
$75$	−0.631354	−	4.79561i	−0.0729025	−	0.553749i
$76$	−8.76329	−	0.0700544i	−1.00522	−	0.00803579i
$77$	12.2546	+	3.33172i	1.39654	+	0.379684i
$78$	−9.13994	−	1.85606i	−1.03489	−	0.210157i
$79$	−6.24600	−	10.8184i	−0.702729	−	1.21716i	−0.967505	−	0.252853i	$-0.918631\pi$
$79$	−6.24600	−	10.8184i	−0.702729	−	1.21716i	0.264775	−	0.964310i	$-0.414702\pi$
$80$	−1.59759	−	0.236368i	−0.178616	−	0.0264267i
$81$	0.866025	+	0.500000i	0.0962250	+	0.0555556i
$82$	−5.23662	+	1.75428i	−0.578288	+	0.193728i
$83$	−1.36714	−	3.30057i	−0.150063	−	0.362285i	0.830916	−	0.556398i	$-0.187817\pi$
$83$	−1.36714	−	3.30057i	−0.150063	−	0.362285i	−0.980979	+	0.194113i	$0.937817\pi$
$84$	−2.08180	+	4.86478i	−0.227143	+	0.530791i
$85$	1.74489	+	0.722756i	0.189260	+	0.0783939i
$86$	−8.07474	−	9.28205i	−0.870721	−	1.00091i
$87$	−2.19840	−	8.20456i	−0.235694	−	0.879621i
$88$	10.0991	+	9.07320i	1.07657	+	0.967206i
$89$	2.02177	+	0.541731i	0.214307	+	0.0574234i	0.364375	−	0.931252i	$-0.381283\pi$
$89$	2.02177	+	0.541731i	0.214307	+	0.0574234i	−0.150068	+	0.988676i	$0.547949\pi$
$90$	0.473481	+	0.319115i	0.0499093	+	0.0336377i
$91$	−8.77937	+	15.0786i	−0.920328	+	1.58067i
$92$	−6.54246	+	2.64890i	−0.682099	+	0.276167i
$93$	−2.25677	−	1.73168i	−0.234016	−	0.179567i
$94$	−0.411427	−	6.68657i	−0.0424355	−	0.689667i
$95$	1.53210	+	0.884560i	0.157190	+	0.0907539i
$96$	−4.32673	+	3.64409i	−0.441595	+	0.371923i
$97$		−	10.5486i		−	1.07105i	−0.844521	−	0.535523i	$-0.820114\pi$
$97$		−	10.5486i		−	1.07105i	0.844521	−	0.535523i	$-0.179886\pi$
$98$	7.36850	+	6.61099i	0.744331	+	0.667811i
$99$	−1.83685	−	4.43456i	−0.184611	−	0.445690i
$100$	−7.62756	−	5.95031i	−0.762756	−	0.595031i
$101$	−10.3251	+	7.92274i	−1.02739	+	0.788342i	−0.977611	−	0.210418i	$-0.932517\pi$
$101$	−10.3251	+	7.92274i	−1.02739	+	0.788342i	−0.0497762	+	0.998760i	$0.515851\pi$
$102$	5.94488	−	2.90221i	0.588631	−	0.287361i
$103$	−3.79547	+	14.1649i	−0.373979	+	1.39571i	0.480852	+	0.876802i	$0.340328\pi$
$103$	−3.79547	+	14.1649i	−0.373979	+	1.39571i	−0.854831	+	0.518907i	$0.826339\pi$
$104$	−15.6325	+	10.1763i	−1.53290	+	0.997872i
$105$	0.849839	−	0.647178i	0.0829358	−	0.0631581i
$106$	3.23244	+	16.5970i	0.313962	+	1.61204i
$107$	17.0382	−	2.24312i	1.64714	−	0.216851i	0.750901	−	0.660415i	$-0.229620\pi$
$107$	17.0382	−	2.24312i	1.64714	−	0.216851i	0.896242	+	0.443565i	$0.146286\pi$
$108$	1.93593	−	0.502179i	0.186285	−	0.0483222i
$109$	7.12505	+	0.938031i	0.682456	+	0.0898470i	0.463780	−	0.885950i	$-0.346493\pi$
$109$	7.12505	+	0.938031i	0.682456	+	0.0898470i	0.218676	+	0.975797i	$0.429826\pi$
$110$	−0.870579	−	2.59872i	−0.0830065	−	0.247778i
$111$		−	0.146727i		−	0.0139267i
$112$	3.85708	+	9.85510i	0.364459	+	0.931219i
$113$			9.41532i			0.885719i	0.896591	+	0.442860i	$0.146036\pi$
$113$			9.41532i			0.885719i	−0.896591	+	0.442860i	$0.853964\pi$
$114$	5.87583	−	1.96842i	0.550322	−	0.184359i
$115$	1.41270	+	0.185985i	0.131735	+	0.0173432i
$116$	−14.6436	−	8.61132i	−1.35963	−	0.799541i
$117$	6.53841	−	0.860798i	0.604476	−	0.0795808i
$118$	−6.86506	+	1.33704i	−0.631980	+	0.123085i
$119$	−1.57054	−	12.2764i	−0.143971	−	1.12537i
$120$	1.12261	−	0.209340i	0.102480	−	0.0191100i
$121$	−3.11601	+	11.6291i	−0.283274	+	1.05719i
$122$	1.35680	+	2.77926i	0.122839	+	0.251622i
$123$	3.09813	−	2.37728i	0.279349	−	0.214352i
$124$	−5.64628	+	0.697477i	−0.507051	+	0.0626352i
$125$	1.51988	+	3.66931i	0.135942	+	0.328193i
$126$	0.273294	−	3.73166i	0.0243469	−	0.332443i
$127$			4.83248i			0.428813i	0.976744	+	0.214407i	$0.0687818\pi$
$127$			4.83248i			0.428813i	−0.976744	+	0.214407i	$0.931218\pi$
$128$	−1.05549	+	11.2644i	−0.0932926	+	0.995639i
$129$	7.53387	+	4.34968i	0.663320	+	0.382968i
$130$	3.75841	−	0.231256i	0.329634	−	0.0202825i
$131$	2.81639	+	2.16109i	0.246069	+	0.188816i	0.724431	−	0.689347i	$-0.242103\pi$
$131$	2.81639	+	2.16109i	0.246069	+	0.188816i	−0.478362	+	0.878163i	$0.658769\pi$
$132$	−8.83947	−	3.74449i	−0.769377	−	0.325916i
$133$	0.0424200	−	11.5930i	0.00367828	−	1.00524i
$134$	−0.432436	+	0.641620i	−0.0373568	+	0.0554275i
$135$	−0.389987	−	0.104497i	−0.0335647	−	0.00899364i
$136$	4.40287	−	12.4769i	0.377543	−	1.06988i
$137$	−2.57858	−	9.62340i	−0.220303	−	0.822183i	−0.984232	−	0.176882i	$-0.943399\pi$
$137$	−2.57858	−	9.62340i	−0.220303	−	0.822183i	0.763929	−	0.645300i	$-0.223268\pi$
$138$	3.76557	−	3.27578i	0.320546	−	0.278853i
$139$	4.81693	+	1.99524i	0.408567	+	0.169234i	0.577494	−	0.816395i	$-0.304031\pi$
$139$	4.81693	+	1.99524i	0.408567	+	0.169234i	−0.168928	+	0.985628i	$0.554031\pi$
$140$	0.303521	−	2.11474i	0.0256522	−	0.178728i
$141$	1.81280	+	4.37648i	0.152665	+	0.368566i
$142$	−0.735436	−	2.19531i	−0.0617164	−	0.184227i
$143$	−27.4138	−	15.8274i	−2.29246	−	1.32355i
$144$	2.05513	−	3.43168i	0.171260	−	0.285974i
$145$	1.71470	+	2.96995i	0.142398	+	0.246641i
$146$	1.09400	−	5.38729i	0.0905402	−	0.445856i
$147$	−6.44738	−	2.72604i	−0.531771	−	0.224840i
$148$	−0.205838	−	0.209156i	−0.0169198	−	0.0171925i
$149$	−0.144198	−	1.09529i	−0.0118132	−	0.0897299i	0.984523	−	0.175257i	$-0.0560758\pi$
$149$	−0.144198	−	1.09529i	−0.0118132	−	0.0897299i	−0.996336	+	0.0855276i	$0.972742\pi$
$150$	6.46867	+	2.22469i	0.528165	+	0.181645i
$151$	−19.0104	+	5.09382i	−1.54704	+	0.414529i	−0.928534	−	0.371247i	$-0.878930\pi$
$151$	−19.0104	+	5.09382i	−1.54704	+	0.414529i	−0.618511	+	0.785776i	$0.712264\pi$
$152$	5.61442	−	11.0489i	0.455389	−	0.896185i
$153$	−3.30773	+	3.30773i	−0.267414	+	0.267414i
$154$	−11.9447	+	13.4118i	−0.962530	+	1.08075i
$155$	1.06107	+	0.439508i	0.0852270	+	0.0353022i
$156$	8.11274	−	10.3995i	0.649539	−	0.832629i
$157$	−23.7184	−	3.12259i	−1.89294	−	0.249210i	−0.907602	−	0.419832i	$-0.862089\pi$
$157$	−23.7184	−	3.12259i	−1.89294	−	0.249210i	−0.985337	+	0.170622i	$0.945422\pi$
$158$	17.6330	−	1.08496i	1.40281	−	0.0863152i
$159$	−5.97817	−	10.3545i	−0.474100	−	0.821165i
$160$	1.30657	−	1.87328i	0.103294	−	0.148096i
$161$	−3.54165	−	8.63959i	−0.279121	−	0.680895i
$162$	−1.17901	+	0.780989i	−0.0926315	+	0.0613603i
$163$	−12.5781	+	16.3921i	−0.985193	+	1.28393i	−0.0264511	+	0.999650i	$0.508421\pi$
$163$	−12.5781	+	16.3921i	−0.985193	+	1.28393i	−0.958742	+	0.284278i	$0.908246\pi$
$164$	1.08130	−	7.73499i	0.0844356	−	0.604001i
$165$	1.17975	+	1.53748i	0.0918431	+	0.119692i
$166$	5.04012	+	0.350584i	0.391189	+	0.0272106i
$167$	−2.90698	−	2.90698i	−0.224949	−	0.224949i	0.585630	−	0.810579i	$-0.300847\pi$
$167$	−2.90698	−	2.90698i	−0.224949	−	0.224949i	−0.810579	+	0.585630i	$0.800847\pi$
$168$	−4.84544	−	5.70278i	−0.373834	−	0.439979i
$169$	21.5609	−	21.5609i	1.65853	−	1.65853i
$170$	−2.01515	+	1.75304i	−0.154555	+	0.134452i
$171$	−3.47630	+	2.66746i	−0.265839	+	0.203986i
$172$	16.8413	−	4.36863i	1.28414	−	0.333105i
$173$	−14.0141	−	10.7534i	−1.06548	−	0.817568i	−0.0816436	−	0.996662i	$-0.526017\pi$
$173$	−14.0141	−	10.7534i	−1.06548	−	0.817568i	−0.983832	+	0.179093i	$0.942684\pi$
$174$	11.7720	+	2.39056i	0.892436	+	0.181228i
$175$	7.82771	−	10.1243i	0.591719	−	0.765329i
$176$	−17.8534	+	7.06290i	−1.34575	+	0.532386i
$177$	4.28296	−	2.47277i	0.321927	−	0.185865i
$178$	−1.96059	+	2.21768i	−0.146953	+	0.166222i
$179$	−1.76506	+	13.4070i	−0.131927	+	1.00209i	0.789559	+	0.613674i	$0.210309\pi$
$179$	−1.76506	+	13.4070i	−0.131927	+	1.00209i	−0.921486	+	0.388411i	$0.873024\pi$
$180$	−0.702511	+	0.398141i	−0.0523621	+	0.0296757i
$181$	−1.72507	+	4.16468i	−0.128223	+	0.309558i	−0.974934	−	0.222496i	$-0.928580\pi$
$181$	−1.72507	+	4.16468i	−0.128223	+	0.309558i	0.846711	+	0.532054i	$0.178580\pi$
$182$	−13.5515	−	20.6214i	−1.00451	−	1.52856i
$183$	−1.54638	−	1.54638i	−0.114312	−	0.114312i
$184$	0.772243	−	9.95212i	0.0569305	−	0.733680i
$185$	0.0153325	+	0.0572217i	0.00112727	+	0.00420702i
$186$	3.61509	−	1.76484i	0.265071	−	0.129404i
$187$	22.2612	−	2.93075i	1.62790	−	0.214317i
$188$	8.72369	+	3.69544i	0.636240	+	0.269518i
$189$	0.675415	+	2.55809i	0.0491292	+	0.186074i
$190$	−2.08580	+	1.38166i	−0.151320	+	0.100236i
$191$	−10.1586	+	5.86508i	−0.735051	+	0.424382i	−0.820267	−	0.571980i	$-0.806175\pi$
$191$	−10.1586	+	5.86508i	−0.735051	+	0.424382i	0.0852159	+	0.996363i	$0.472842\pi$
$192$	−1.88466	−	7.77484i	−0.136013	−	0.561100i
$193$	−7.98325	+	13.8274i	−0.574647	+	0.995318i	0.421433	+	0.906860i	$0.361527\pi$
$193$	−7.98325	+	13.8274i	−0.574647	+	0.995318i	−0.996080	+	0.0884585i	$0.971806\pi$
$194$	13.3530	+	6.65146i	0.958691	+	0.477547i
$195$	−2.45994	+	1.01894i	−0.176160	+	0.0729680i
$196$	−13.0148	+	5.15890i	−0.929631	+	0.368493i
$197$	−2.83542	+	6.84531i	−0.202015	+	0.487708i	−0.992124	−	0.125258i	$-0.960024\pi$
$197$	−2.83542	+	6.84531i	−0.202015	+	0.487708i	0.790109	+	0.612967i	$0.210024\pi$
$198$	6.77177	+	0.471035i	0.481249	+	0.0334750i
$199$	−0.961497	+	0.257632i	−0.0681587	+	0.0182631i	−0.292737	−	0.956193i	$-0.594566\pi$
$199$	−0.961497	+	0.257632i	−0.0681587	+	0.0182631i	0.224579	+	0.974456i	$0.427899\pi$
$200$	12.3419	−	5.90342i	0.872701	−	0.417435i
$201$	0.141605	−	0.528476i	0.00998803	−	0.0372758i
$202$	−3.51852	−	18.0659i	−0.247562	−	1.27111i
$203$	11.3076	−	19.4209i	0.793640	−	1.36308i
$204$	−0.0747876	+	9.35538i	−0.00523618	+	0.655008i
$205$	−0.959812	+	1.25085i	−0.0670362	+	0.0873632i
$206$	−15.5375	−	13.7363i	−1.08255	−	0.957052i
$207$	−1.76459	+	3.05636i	−0.122648	+	0.212432i
$208$	−3.02463	−	26.2053i	−0.209720	−	1.81701i
$209$	21.0323			1.45483
$210$	0.283366	+	1.48386i	0.0195541	+	0.102396i
$211$	−3.63956	+	1.50755i	−0.250557	+	0.103784i	−0.504428	−	0.863454i	$-0.668296\pi$
$211$	−3.63956	+	1.50755i	−0.250557	+	0.103784i	0.253870	+	0.967238i	$0.418296\pi$
$212$	−23.0477	−	6.37350i	−1.58292	−	0.437734i
$213$	0.996610	+	1.29881i	0.0682866	+	0.0889928i
$214$	−7.90404	+	22.9824i	−0.540309	+	1.57104i
$215$	−3.39264	−	0.909055i	−0.231376	−	0.0619970i
$216$	−0.585022	+	2.76726i	−0.0398057	+	0.188288i
$217$	−0.955044	−	7.46526i	−0.0648326	−	0.506775i
$218$	−5.68015	+	8.42783i	−0.384708	+	0.570805i
$219$	0.507374	+	3.85389i	0.0342852	+	0.260422i
$220$	3.83857	+	0.536607i	0.258796	+	0.0361781i
$221$	−4.02668	+	30.5856i	−0.270864	+	2.05741i
$222$	0.185736	+	0.0925196i	0.0124658	+	0.00620951i
$223$	0.599938			0.0401748			0.0200874	−	0.999798i	$-0.493606\pi$
$223$	0.599938			0.0401748			0.0200874	+	0.999798i	$0.493606\pi$
$224$	−14.9073	−	1.33167i	−0.996034	−	0.0889759i
$225$	−4.83699			−0.322466
$226$	−11.9185	−	5.93688i	−0.792805	−	0.394915i
$227$	−2.01813	+	15.3292i	−0.133948	+	1.01743i	0.784008	+	0.620751i	$0.213172\pi$
$227$	−2.01813	+	15.3292i	−0.133948	+	1.01743i	−0.917955	+	0.396683i	$0.870161\pi$
$228$	−1.21329	+	8.67917i	−0.0803523	+	0.574792i
$229$	−3.48546	−	26.4747i	−0.230325	−	1.74950i	−0.581831	−	0.813310i	$-0.697663\pi$
$229$	−3.48546	−	26.4747i	−0.230325	−	1.74950i	0.351505	−	0.936186i	$-0.385670\pi$
$230$	−1.12621	+	1.67100i	−0.0742604	+	0.110183i
$231$	4.90276	−	11.7149i	0.322578	−	0.770783i
$232$	20.1343	−	13.1069i	1.32188	−	0.860509i
$233$	2.77607	+	0.743845i	0.181866	+	0.0487309i	0.348603	−	0.937271i	$-0.386656\pi$
$233$	2.77607	+	0.743845i	0.181866	+	0.0487309i	−0.166737	+	0.986001i	$0.553323\pi$
$234$	−3.03318	+	8.81949i	−0.198285	+	0.576548i
$235$	−1.16429	−	1.51734i	−0.0759502	−	0.0989802i
$236$	2.63629	−	9.53328i	0.171608	−	0.620564i
$237$	−11.5411	+	4.78048i	−0.749675	+	0.310525i
$238$	16.5304	+	5.75284i	1.07151	+	0.372901i
$239$	−3.88055			−0.251012			−0.125506	−	0.992093i	$-0.540055\pi$
$239$	−3.88055			−0.251012			−0.125506	+	0.992093i	$0.540055\pi$
$240$	−0.442873	+	1.55307i	−0.0285873	+	0.100250i
$241$	11.4398	−	19.8143i	0.736901	−	1.27635i	−0.216983	−	0.976175i	$-0.569622\pi$
$241$	11.4398	−	19.8143i	0.736901	−	1.27635i	0.953884	−	0.300175i	$-0.0970450\pi$
$242$	−12.7560	−	11.2772i	−0.819988	−	0.724929i
$243$	0.608761	−	0.793353i	0.0390521	−	0.0508936i
$244$	−4.37369	−	0.0349636i	−0.279997	−	0.00223831i
$245$	2.79926	+	0.389390i	0.178838	+	0.0248772i
$246$	1.05576	+	5.42080i	0.0673126	+	0.345617i
$247$	−7.47912	+	27.9125i	−0.475885	+	1.77603i
$248$	2.67739	−	7.58720i	0.170014	−	0.481788i
$249$	−3.45078	+	0.924634i	−0.218684	+	0.0585963i
$250$	−5.60319	−	0.389751i	−0.354377	−	0.0246500i
$251$	−6.87968	+	16.6090i	−0.434242	+	1.04835i	0.543664	+	0.839303i	$0.317037\pi$
$251$	−6.87968	+	16.6090i	−0.434242	+	1.04835i	−0.977905	+	0.209049i	$0.932963\pi$
$252$	4.55143	+	2.69897i	0.286713	+	0.170019i
$253$	15.6504	−	6.48259i	0.983930	−	0.407557i
$254$	−6.11724	−	3.04715i	−0.383830	−	0.191195i
$255$	0.944326	−	1.63562i	0.0591360	−	0.102427i
$256$	−13.5936	−	8.43890i	−0.849598	−	0.527431i
$257$	2.80872	−	1.62162i	0.175203	−	0.101154i	−0.409834	−	0.912160i	$-0.634413\pi$
$257$	2.80872	−	1.62162i	0.175203	−	0.101154i	0.585037	+	0.811007i	$0.301080\pi$
$258$	−10.2566	+	6.79411i	−0.638548	+	0.422983i
$259$	0.275504	−	0.273495i	0.0171190	−	0.0169942i
$260$	−2.07715	+	4.90344i	−0.128819	+	0.304098i
$261$	−8.42132	+	1.10869i	−0.521266	+	0.0686260i
$262$	−4.51153	+	2.20247i	−0.278723	+	0.136069i
$263$	5.00433	+	18.6764i	0.308580	+	1.15164i	0.929819	+	0.368016i	$0.119963\pi$
$263$	5.00433	+	18.6764i	0.308580	+	1.15164i	−0.621239	+	0.783621i	$0.713370\pi$
$264$	10.3138	−	8.82842i	0.634769	−	0.543352i
$265$	3.41342	+	3.41342i	0.209685	+	0.209685i
$266$	14.6484	+	7.36374i	0.898151	+	0.451500i
$267$	0.800990	−	1.93376i	0.0490198	−	0.118344i
$268$	−0.539526	−	0.951981i	−0.0329568	−	0.0581515i
$269$	−2.99497	+	22.7491i	−0.182607	+	1.38704i	0.617213	+	0.786796i	$0.288262\pi$
$269$	−2.99497	+	22.7491i	−0.182607	+	1.38704i	−0.799820	+	0.600240i	$0.795072\pi$
$270$	0.378187	−	0.427778i	0.0230157	−	0.0260337i
$271$	0.0523936	−	0.0302495i	0.00318268	−	0.00183752i	−0.498408	−	0.866943i	$-0.666082\pi$
$271$	0.0523936	−	0.0302495i	0.00318268	−	0.00183752i	0.501590	+	0.865105i	$0.332748\pi$
$272$	13.0177	+	13.4408i	0.789315	+	0.814966i
$273$	13.8037	+	10.6724i	0.835437	+	0.645924i
$274$	13.8078	+	2.80396i	0.834160	+	0.169394i
$275$	18.4195	+	14.1338i	1.11074	+	0.852297i
$276$	1.77228	+	6.83224i	0.106679	+	0.411253i
$277$	−14.3965	+	11.0468i	−0.865001	+	0.663739i	−0.942847	−	0.333227i	$-0.891863\pi$
$277$	−14.3965	+	11.0468i	−0.865001	+	0.663739i	0.0778454	+	0.996965i	$0.475196\pi$
$278$	−5.56303	+	4.83945i	−0.333648	+	0.290251i
$279$	−2.01144	+	2.01144i	−0.120422	+	0.120422i
$280$	2.48558	+	1.71768i	0.148542	+	0.102651i
$281$	19.4817	+	19.4817i	1.16218	+	1.16218i	0.983997	+	0.178186i	$0.0570230\pi$
$281$	19.4817	+	19.4817i	1.16218	+	1.16218i	0.178186	+	0.983997i	$0.442977\pi$
$282$	−6.68307	−	0.464865i	−0.397971	−	0.0276823i
$283$	−8.90345	−	11.6032i	−0.529255	−	0.689739i	0.449847	−	0.893105i	$-0.351478\pi$
$283$	−8.90345	−	11.6032i	−0.529255	−	0.689739i	−0.979103	+	0.203366i	$0.934812\pi$
$284$	3.24269	+	0.453308i	0.192418	+	0.0268989i
$285$	1.07697	−	1.40354i	0.0637943	−	0.0831384i
$286$	37.3211	−	24.7220i	2.20684	−	1.46184i
$287$	10.2385	+	1.38606i	0.604362	+	0.0818166i
$288$	3.04816	+	4.76537i	0.179615	+	0.280802i
$289$	−2.44110	−	4.22811i	−0.143594	−	0.248713i
$290$	−4.84075	+	0.297853i	−0.284258	+	0.0174905i
$291$	−10.4583	−	1.37687i	−0.613079	−	0.0807133i
$292$	6.12973	+	4.78184i	0.358715	+	0.279836i
$293$	24.9075	+	10.3170i	1.45511	+	0.602727i	0.963409	−	0.268036i	$-0.0863746\pi$
$293$	24.9075	+	10.3170i	1.45511	+	0.602727i	0.491703	+	0.870763i	$0.336375\pi$
$294$	7.51621	−	6.44256i	0.438354	−	0.375738i
$295$	−1.41190	+	1.41190i	−0.0822042	+	0.0822042i
$296$	0.394554	−	0.128678i	0.0229330	−	0.00747926i
$297$	−4.63638	+	1.24231i	−0.269030	+	0.0720864i
$298$	1.47741	+	0.508108i	0.0855841	+	0.0294339i
$299$	3.03791	+	23.0752i	0.175687	+	1.33447i
$300$	−6.89500	+	6.78564i	−0.398083	+	0.391769i
$301$	5.87568	+	22.2537i	0.338669	+	1.28268i
$302$	5.53905	−	27.2764i	0.318736	−	1.56958i
$303$	6.50726	+	11.2709i	0.373833	+	0.647497i
$304$	10.4462	+	14.0740i	0.599129	+	0.807200i
$305$	0.764661	+	0.441477i	0.0437843	+	0.0252789i
$306$	−2.10142	−	6.27283i	−0.120130	−	0.358594i
$307$	−10.3474	−	24.9809i	−0.590558	−	1.42573i	−0.882965	−	0.469439i	$-0.844456\pi$
$307$	−10.3474	−	24.9809i	−0.590558	−	1.42573i	0.292407	−	0.956294i	$-0.405544\pi$
$308$	−9.44563	−	23.5772i	−0.538214	−	1.34343i
$309$	13.5483	+	5.61189i	0.770736	+	0.319249i
$310$	−1.22542	+	1.06603i	−0.0695990	+	0.0605463i
$311$	1.54130	+	5.75220i	0.0873989	+	0.326177i	0.995758	−	0.0920146i	$-0.0293307\pi$
$311$	1.54130	+	5.75220i	0.0873989	+	0.326177i	−0.908359	+	0.418192i	$0.862664\pi$
$312$	8.04882	+	16.8271i	0.455675	+	0.952646i
$313$	−27.5184	−	7.37354i	−1.55543	−	0.416777i	−0.624219	−	0.781249i	$-0.714583\pi$
$313$	−27.5184	−	7.37354i	−1.55543	−	0.416777i	−0.931214	+	0.364472i	$0.881250\pi$
$314$	18.9086	−	28.0553i	1.06707	−	1.58325i
$315$	−0.530715	−	0.927043i	−0.0299024	−	0.0522329i
$316$	−9.74517	+	23.0050i	−0.548208	+	1.29413i
$317$	−18.7877	−	14.4163i	−1.05522	−	0.809699i	−0.0729817	−	0.997333i	$-0.523251\pi$
$317$	−18.7877	−	14.4163i	−1.05522	−	0.809699i	−0.982239	+	0.187634i	$0.939918\pi$
$318$	16.8769	−	1.03844i	0.946410	−	0.0582330i
$319$	35.3083	+	20.3853i	1.97689	+	1.14136i
$320$	1.54744	+	2.83514i	0.0865044	+	0.158489i
$321$		−	17.1852i		−	0.959185i
$322$	13.1697	+	0.964503i	0.733920	+	0.0537496i
$323$	−7.84397	−	18.9370i	−0.436450	−	1.05368i
$324$	−0.245193	−	1.98491i	−0.0136218	−	0.110273i
$325$	−25.3073	+	19.4190i	−1.40379	+	1.07717i
$326$	−12.8189	−	26.2582i	−0.709974	−	1.45431i
$327$	1.86001	−	6.94166i	0.102859	−	0.383874i
$328$	9.10959	+	6.24612i	0.502993	+	0.344884i
$329$	−4.83854	+	11.5614i	−0.266757	+	0.637403i
$330$	−2.69012	+	0.523930i	−0.148086	+	0.0288414i
$331$	6.68154	−	0.879642i	0.367251	−	0.0483495i	0.0553574	−	0.998467i	$-0.482370\pi$
$331$	6.68154	−	0.879642i	0.367251	−	0.0483495i	0.311893	+	0.950117i	$0.399037\pi$
$332$	−3.62186	+	6.15902i	−0.198776	+	0.338020i
$333$	−0.145472	−	0.0191517i	−0.00797181	−	0.00104951i
$334$	5.51285	−	1.84682i	0.301650	−	0.101053i
$335$			0.220896i			0.0120688i
$336$	10.2742	−	2.53773i	0.560506	−	0.138444i
$337$		−	33.1260i		−	1.80449i	−0.431226	−	0.902244i	$-0.641919\pi$
$337$		−	33.1260i		−	1.80449i	0.431226	−	0.902244i	$-0.358081\pi$
$338$	13.6977	+	40.8885i	0.745059	+	2.22404i
$339$	9.33477	+	1.22895i	0.506995	+	0.0667472i
$340$	−0.948441	−	3.65629i	−0.0514364	−	0.198290i
$341$	13.5371	−	1.78219i	0.733074	−	0.0965110i
$342$	−1.18463	−	6.08249i	−0.0640574	−	0.328903i
$343$	−6.89915	−	17.1873i	−0.372519	−	0.928025i
$344$	−5.08932	+	24.0734i	−0.274398	+	1.29795i
$345$	0.368788	−	1.37633i	0.0198549	−	0.0740994i
$346$	22.4490	−	10.9593i	1.20687	−	0.589176i
$347$	−14.4464	+	11.0851i	−0.775525	+	0.595081i	−0.918856	−	0.394594i	$-0.870885\pi$
$347$	−14.4464	+	11.0851i	−0.775525	+	0.595081i	0.143331	+	0.989675i	$0.454219\pi$
$348$	−10.4490	+	13.3944i	−0.560127	+	0.718013i
$349$	9.47465	+	22.8738i	0.507166	+	1.22441i	0.945508	+	0.325599i	$0.105566\pi$
$349$	9.47465	+	22.8738i	0.507166	+	1.22441i	−0.438342	+	0.898808i	$0.644434\pi$
$350$	7.88020	+	16.2927i	0.421214	+	0.870883i
$351$		−	6.59483i		−	0.352006i
$352$	2.31694	−	27.0535i	0.123494	−	1.44196i
$353$	16.4747	+	9.51170i	0.876862	+	0.506257i	0.869623	−	0.493717i	$-0.164362\pi$
$353$	16.4747	+	9.51170i	0.876862	+	0.506257i	0.00723975	+	0.999974i	$0.497695\pi$
$354$	0.429534	+	6.98085i	0.0228295	+	0.371028i
$355$	−0.524386	−	0.402376i	−0.0278315	−	0.0213559i
$356$	−1.57101	−	3.88020i	−0.0832635	−	0.205650i
$357$	−12.3763	−	0.0452861i	−0.655025	−	0.00239680i
$358$	−15.8584	−	10.6882i	−0.838142	−	0.564887i
$359$	−5.86797	−	1.57232i	−0.309699	−	0.0829837i	0.100622	−	0.994925i	$-0.467917\pi$
$359$	−5.86797	−	1.57232i	−0.309699	−	0.0829837i	−0.410321	+	0.911941i	$0.634583\pi$
$360$	−0.0610190	−	1.14033i	−0.00321599	−	0.0601007i
$361$	−0.0517705	−	0.193210i	−0.00272476	−	0.0101690i
$362$	−4.18415	−	4.80975i	−0.219914	−	0.252795i
$363$	11.1229	+	4.60726i	0.583802	+	0.241819i
$364$	34.6487	−	4.15144i	1.81609	−	0.217595i
$365$	−0.600588	−	1.44995i	−0.0314362	−	0.0758937i
$366$	2.93258	−	0.982423i	0.153288	−	0.0513521i
$367$	11.9026	+	6.87198i	0.621311	+	0.358714i	0.777379	−	0.629032i	$-0.216549\pi$
$367$	11.9026	+	6.87198i	0.621311	+	0.358714i	−0.156068	+	0.987746i	$0.549882\pi$
$368$	12.1110	+	7.25291i	0.631331	+	0.378084i
$369$	−1.95255	−	3.38192i	−0.101646	−	0.176056i
$370$	−0.0821026	−	0.0166726i	−0.00426831	−	0.000866770i
$371$	8.29911	−	30.5255i	0.430868	−	1.58480i
$372$	−0.0454784	+	5.68902i	−0.00235795	+	0.294962i
$373$	−2.73666	−	20.7870i	−0.141699	−	1.07631i	−0.903527	−	0.428531i	$-0.859031\pi$
$373$	−2.73666	−	20.7870i	−0.141699	−	1.07631i	0.761828	−	0.647779i	$-0.224302\pi$
$374$	−10.3270	+	30.0276i	−0.533998	+	1.55269i
$375$	3.83630	−	1.02793i	0.198106	−	0.0530822i
$376$	−10.1787	+	8.71278i	−0.524925	+	0.449327i
$377$	−39.6095	+	39.6095i	−2.04000	+	2.04000i
$378$	−3.66407	−	0.758035i	−0.188459	−	0.0389891i
$379$	31.0363	+	12.8557i	1.59423	+	0.660352i	0.990585	−	0.136901i	$-0.0437144\pi$
$379$	31.0363	+	12.8557i	1.59423	+	0.660352i	0.603645	+	0.797253i	$0.293714\pi$
$380$	−0.433776	−	3.51155i	−0.0222522	−	0.180139i
$381$	4.79114	+	0.630765i	0.245457	+	0.0323151i
$382$	−1.01880	−	16.5576i	−0.0521262	−	0.847162i
$383$	−4.76578	−	8.25457i	−0.243520	−	0.421789i	0.718195	−	0.695842i	$-0.244969\pi$
$383$	−4.76578	−	8.25457i	−0.243520	−	0.421789i	−0.961714	+	0.274053i	$0.911635\pi$
$384$	11.0302	+	2.51675i	0.562884	+	0.128432i
$385$	−0.687846	+	5.08097i	−0.0350559	+	0.258950i
$386$	−12.4697	−	18.8246i	−0.634689	−	0.958148i
$387$	5.29584	−	6.90167i	0.269203	−	0.350832i
$388$	−16.8396	+	12.7089i	−0.854903	+	0.645198i
$389$	−6.91778	−	9.01542i	−0.350745	−	0.457100i	0.584347	−	0.811504i	$-0.301351\pi$
$389$	−6.91778	−	9.01542i	−0.350745	−	0.457100i	−0.935093	+	0.354404i	$0.884684\pi$
$390$	0.261293	−	3.75644i	0.0132311	−	0.190215i
$391$	−11.6736	−	11.6736i	−0.590359	−	0.590359i
$392$	1.67613	−	19.7279i	0.0846574	−	0.996410i
$393$	2.51022	−	2.51022i	0.126624	−	0.126624i
$394$	−6.87731	−	7.90559i	−0.346474	−	0.398278i
$395$	4.00133	−	3.07033i	0.201329	−	0.154485i
$396$	−4.86624	+	8.27509i	−0.244538	+	0.415839i
$397$	2.33348	+	1.79054i	0.117114	+	0.0898648i	0.665658	−	0.746257i	$-0.268151\pi$
$397$	2.33348	+	1.79054i	0.117114	+	0.0898648i	−0.548544	+	0.836122i	$0.684818\pi$
$398$	0.280151	−	1.37957i	0.0140427	−	0.0691517i
$399$	−11.4883	−	1.55525i	−0.575135	−	0.0778600i
$400$	−0.309318	+	19.3455i	−0.0154659	+	0.967274i
$401$	12.7048	−	7.33509i	0.634445	−	0.366297i	−0.148026	−	0.988983i	$-0.547292\pi$
$401$	12.7048	−	7.33509i	0.634445	−	0.366297i	0.782472	+	0.622686i	$0.213959\pi$
$402$	0.579687	+	0.512485i	0.0289122	+	0.0255604i
$403$	−2.44863	+	18.5992i	−0.121975	+	0.926490i
$404$	25.0875	+	6.93758i	1.24815	+	0.345158i
$405$	−0.154506	+	0.373011i	−0.00767748	+	0.0185351i
$406$	17.4541	+	26.5598i	0.866231	+	1.31814i
$407$	0.498002	+	0.498002i	0.0246850	+	0.0246850i
$408$	−11.7954	−	5.99376i	−0.583962	−	0.296735i
$409$	−5.15224	−	19.2284i	−0.254762	−	0.950784i	−0.968223	−	0.250089i	$-0.919540\pi$
$409$	−5.15224	−	19.2284i	−0.254762	−	0.950784i	0.713461	−	0.700695i	$-0.247127\pi$
$410$	−0.978187	−	2.00372i	−0.0483092	−	0.0989566i
$411$	−9.87764	+	1.30042i	−0.487228	+	0.0641448i
$412$	27.1855	−	11.0068i	1.33933	−	0.542267i
$413$	12.6263	+	3.43279i	0.621302	+	0.168916i
$414$	−2.75625	−	4.16093i	−0.135462	−	0.204498i
$415$	1.24914	−	0.721191i	0.0613178	−	0.0354019i
$416$	35.0795	+	12.6952i	1.71991	+	0.622431i
$417$	2.60690	−	4.51529i	0.127661	−	0.221115i
$418$	−13.2620	+	26.6239i	−0.648666	+	1.30222i
$419$	−33.9892	+	14.0788i	−1.66048	+	0.687794i	−0.998114	−	0.0613848i	$-0.980448\pi$
$419$	−33.9892	+	14.0788i	−1.66048	+	0.687794i	−0.662368	+	0.749179i	$0.730448\pi$
$420$	−2.05703	−	0.576954i	−0.100373	−	0.0281525i
$421$	−7.01380	+	16.9328i	−0.341832	+	0.825255i	0.655699	+	0.755022i	$0.272374\pi$
$421$	−7.01380	+	16.9328i	−0.341832	+	0.825255i	−0.997531	+	0.0702322i	$0.977626\pi$
$422$	0.386591	−	5.55776i	0.0188189	−	0.270548i
$423$	4.57565	−	1.22604i	0.222476	−	0.0596122i
$424$	22.6008	−	25.1563i	1.09759	−	1.22170i
$425$	5.85621	−	21.8557i	0.284068	−	1.06016i
$426$	−2.27252	+	0.442598i	−0.110104	+	0.0214440i
$427$	0.0211715	−	5.78599i	0.00102456	−	0.280004i
$428$	−24.1085	−	24.4971i	−1.16533	−	1.18411i
$429$	−19.2702	+	25.1134i	−0.930373	+	1.21249i
$430$	3.28998	−	3.72139i	0.158657	−	0.179462i
$431$	19.8143	−	34.3195i	0.954424	−	1.65311i	0.218742	−	0.975783i	$-0.429805\pi$
$431$	19.8143	−	34.3195i	0.954424	−	1.65311i	0.735682	−	0.677327i	$-0.236862\pi$
$432$	−3.13408	−	2.48547i	−0.150788	−	0.119582i
$433$	6.37121			0.306181			0.153091	−	0.988212i	$-0.451077\pi$
$433$	6.37121			0.306181			0.153091	+	0.988212i	$0.451077\pi$
$434$	10.0522	+	3.49831i	0.482520	+	0.167924i
$435$	3.16835	−	1.31237i	0.151911	−	0.0629235i
$436$	−7.08680	−	12.5045i	−0.339396	−	0.598856i
$437$	−9.41395	−	12.2685i	−0.450330	−	0.586882i
$438$	−5.19841	−	1.78783i	−0.248390	−	0.0854256i
$439$	−10.2680	−	2.75129i	−0.490063	−	0.131312i	0.00532166	−	0.999986i	$-0.498306\pi$
$439$	−10.2680	−	2.75129i	−0.490063	−	0.131312i	−0.495384	+	0.868674i	$0.664973\pi$
$440$	−3.09970	+	4.52072i	−0.147772	+	0.215517i
$441$	−3.54427	+	6.03640i	−0.168775	+	0.287448i
$442$	−36.1781	−	24.3831i	−1.72082	−	1.15979i
$443$	0.558916	+	4.24539i	0.0265549	+	0.201705i	0.999580	−	0.0289969i	$-0.00923128\pi$
$443$	0.558916	+	4.24539i	0.0265549	+	0.201705i	−0.973025	+	0.230701i	$0.925898\pi$
$444$	−0.234234	+	0.176777i	−0.0111162	+	0.00838946i
$445$	−0.110304	+	0.837842i	−0.00522891	+	0.0397175i
$446$	−0.378294	+	0.759437i	−0.0179127	+	0.0359604i
$447$	−1.10474			−0.0522526
$448$	11.0856	−	18.0308i	0.523744	−	0.851876i
$449$	3.81649			0.180111			0.0900556	−	0.995937i	$-0.471296\pi$
$449$	3.81649			0.180111			0.0900556	+	0.995937i	$0.471296\pi$
$450$	3.04999	−	6.12295i	0.143778	−	0.288639i
$451$	−2.44661	+	18.5839i	−0.115207	+	0.875080i
$452$	15.0305	−	11.3436i	0.706976	−	0.533557i
$453$	2.56889	+	19.5126i	0.120697	+	0.916784i
$454$	−18.1321	−	12.2206i	−0.850980	−	0.573540i
$455$	−6.49849	−	2.71966i	−0.304654	−	0.127500i
$456$	−10.2216	−	7.00856i	−0.478669	−	0.328206i
$457$	−3.84156	−	1.02934i	−0.179700	−	0.0481506i	0.167847	−	0.985813i	$-0.446319\pi$
$457$	−3.84156	−	1.02934i	−0.179700	−	0.0481506i	−0.347547	+	0.937663i	$0.612985\pi$
$458$	35.7110	+	12.2816i	1.66866	+	0.573884i
$459$	2.84769	+	3.71118i	0.132919	+	0.173223i
$460$	−1.40511	−	2.47929i	−0.0655137	−	0.115597i
$461$	38.7941	−	16.0690i	1.80682	−	0.748409i	0.823300	−	0.567606i	$-0.192130\pi$
$461$	38.7941	−	16.0690i	1.80682	−	0.748409i	0.983519	−	0.180803i	$-0.0578697\pi$
$462$	11.7379	+	13.5931i	0.546098	+	0.632407i
$463$	12.9720			0.602858			0.301429	−	0.953489i	$-0.402536\pi$
$463$	12.9720			0.602858			0.301429	+	0.953489i	$0.402536\pi$
$464$	3.89565	+	33.7519i	0.180851	+	1.56689i
$465$	0.574245	−	0.994622i	0.0266300	−	0.0461245i
$466$	−2.69207	+	3.04508i	−0.124708	+	0.141060i
$467$	12.3111	−	16.0442i	0.569691	−	0.742436i	−0.416301	−	0.909227i	$-0.636674\pi$
$467$	12.3111	−	16.0442i	0.569691	−	0.742436i	0.985992	+	0.166791i	$0.0533404\pi$
$468$	−9.25164	−	9.40075i	−0.427657	−	0.434550i
$469$	1.25625	−	0.719178i	0.0580081	−	0.0332086i
$470$	2.65489	−	0.517067i	0.122461	−	0.0238505i
$471$	−6.19176	+	23.1080i	−0.285301	+	1.06476i
$472$	10.4055	+	9.34844i	0.478950	+	0.430297i
$473$	−40.3335	+	10.8073i	−1.85454	+	0.496922i
$474$	1.22589	−	17.6238i	0.0563068	−	0.809486i
$475$	8.11084	−	19.5813i	0.372151	−	0.898452i
$476$	−17.7056	+	17.2977i	−0.811537	+	0.792840i
$477$	−11.0462	+	4.57550i	−0.505772	+	0.209498i
$478$	2.44690	−	4.91223i	0.111919	−	0.224680i
$479$	6.58510	−	11.4057i	0.300881	−	0.521141i	−0.675455	−	0.737401i	$-0.736053\pi$
$479$	6.58510	−	11.4057i	0.300881	−	0.521141i	0.976336	+	0.216260i	$0.0693860\pi$
$480$	−1.68671	−	1.53991i	−0.0769873	−	0.0702869i
$481$	−0.838001	+	0.483820i	−0.0382096	+	0.0220603i
$482$	17.8687	+	26.9752i	0.813896	+	1.22868i
$483$	−9.02796	+	2.38366i	−0.410786	+	0.108460i
$484$	22.3188	−	9.03640i	1.01449	−	0.410745i
$485$	4.22249	−	0.555902i	0.191734	−	0.0252422i
$486$	0.620416	+	1.27086i	0.0281426	+	0.0576474i
$487$	4.19532	+	15.6571i	0.190108	+	0.709493i	0.993479	+	0.114014i	$0.0363709\pi$
$487$	4.19532	+	15.6571i	0.190108	+	0.709493i	−0.803371	+	0.595479i	$0.796962\pi$
$488$	2.80211	−	5.51443i	0.126846	−	0.249626i
$489$	14.6101	+	14.6101i	0.660691	+	0.660691i
$490$	−2.25800	+	3.29793i	−0.102006	+	0.148985i
$491$	−12.7062	+	30.6754i	−0.573421	+	1.38436i	0.325203	+	0.945644i	$0.394567\pi$
$491$	−12.7062	+	30.6754i	−0.573421	+	1.38436i	−0.898625	+	0.438718i	$0.855433\pi$
$492$	−7.52768	−	2.08167i	−0.339374	−	0.0938490i
$493$	5.18626	−	39.3936i	0.233578	−	1.77420i
$494$	−30.6173	−	27.0679i	−1.37754	−	1.21784i
$495$	1.67831	−	0.968973i	0.0754344	−	0.0435521i
$496$	7.91609	+	8.17334i	0.355443	+	0.366994i
$497$	−0.581069	+	4.29223i	−0.0260645	+	0.192533i
$498$	1.00545	−	4.95124i	0.0450554	−	0.221870i
$499$	0.467539	+	0.358756i	0.0209299	+	0.0160601i	0.619173	−	0.785254i	$-0.287468\pi$
$499$	0.467539	+	0.358756i	0.0209299	+	0.0160601i	−0.598243	+	0.801314i	$0.704134\pi$
$500$	4.02649	−	6.84709i	0.180070	−	0.306211i
$501$	−3.26155	+	2.50268i	−0.145715	+	0.111811i
$502$	−16.6867	−	19.1816i	−0.744762	−	0.856117i
$503$	1.71451	−	1.71451i	0.0764464	−	0.0764464i	−0.667850	−	0.744296i	$-0.732785\pi$
$503$	1.71451	−	1.71451i	0.0764464	−	0.0764464i	0.744296	+	0.667850i	$0.232785\pi$
$504$	−6.28645	+	4.05963i	−0.280021	+	0.180830i
$505$	−3.71552	−	3.71552i	−0.165339	−	0.165339i
$506$	−1.66237	+	23.8988i	−0.0739013	+	1.06243i
$507$	−18.5622	−	24.1907i	−0.824376	−	1.07435i
$508$	7.71452	−	5.82217i	0.342276	−	0.258317i
$509$	−1.90928	+	2.48822i	−0.0846273	+	0.110288i	−0.833748	−	0.552145i	$-0.813810\pi$
$509$	−1.90928	+	2.48822i	−0.0846273	+	0.110288i	0.749121	+	0.662433i	$0.230476\pi$
$510$	1.47502	+	2.22673i	0.0653148	+	0.0986014i
$511$	−6.29057	+	8.13621i	−0.278278	+	0.359925i
$512$	19.2540	−	11.8863i	0.850913	−	0.525307i
$513$	2.19089	+	3.79474i	0.0967302	+	0.167542i
$514$	0.281684	+	4.57797i	0.0124245	+	0.201925i
$515$	−5.87009	−	0.772812i	−0.258667	−	0.0340542i
$516$	−2.13302	−	17.2675i	−0.0939012	−	0.760158i
$517$	−21.0068	−	8.70130i	−0.923878	−	0.382683i
$518$	0.172486	+	0.521203i	0.00757860	+	0.0229004i
$519$	−12.4906	+	12.4906i	−0.548279	+	0.548279i
$520$	−4.89731	−	5.72127i	−0.214761	−	0.250894i
$521$	−26.3981	+	7.07336i	−1.15652	+	0.309889i	−0.785576	−	0.618765i	$-0.787633\pi$
$521$	−26.3981	+	7.07336i	−1.15652	+	0.309889i	−0.370947	+	0.928654i	$0.620967\pi$
$522$	3.90666	−	11.3593i	0.170990	−	0.497183i
$523$	1.41176	+	10.7234i	0.0617320	+	0.468901i	0.994191	+	0.107626i	$0.0343250\pi$
$523$	1.41176	+	10.7234i	0.0617320	+	0.468901i	−0.932459	+	0.361275i	$0.882342\pi$
$524$	0.0567559	−	7.09974i	0.00247939	−	0.310154i
$525$	−9.01601	−	9.08223i	−0.393491	−	0.396381i
$526$	−26.7972	−	5.44173i	−1.16841	−	0.237271i
$527$	−6.65329	−	11.5238i	−0.289822	−	0.501987i
$528$	4.67213	+	18.6226i	0.203328	+	0.810444i
$529$	9.13213	+	5.27244i	0.397049	+	0.229237i
$530$	−6.47326	+	2.16856i	−0.281181	+	0.0941963i
$531$	−1.89258	−	4.56908i	−0.0821308	−	0.198281i
$532$	−18.5581	+	13.8996i	−0.804595	+	0.602623i
$533$	−23.7931	−	9.85543i	−1.03059	−	0.426886i
$534$	1.94280	+	2.23328i	0.0840732	+	0.0966436i
$535$	1.79580	+	6.70201i	0.0776391	+	0.289753i
$536$	1.54527	−	0.0826876i	0.0667457	−	0.00357156i
$537$	13.0619	+	3.49993i	0.563663	+	0.151033i
$538$	−26.9087	−	18.1358i	−1.16011	−	0.781889i
$539$	31.1352	−	12.6305i	1.34109	−	0.544033i
$540$	0.303039	+	0.748469i	0.0130407	+	0.0322090i
$541$	5.98055	+	4.58904i	0.257124	+	0.197298i	0.729277	−	0.684218i	$-0.239856\pi$
$541$	5.98055	+	4.58904i	0.257124	+	0.197298i	−0.472153	+	0.881516i	$0.656523\pi$
$542$	0.00525450	+	0.0853969i	0.000225700	+	0.00366811i
$543$	3.90388	+	2.25391i	0.167532	+	0.0967244i
$544$	−25.2225	+	8.00346i	−1.08141	+	0.343145i
$545$			2.90152i			0.124288i
$546$	−22.2138	+	10.7440i	−0.950661	+	0.459800i
$547$	5.19933	+	12.5523i	0.222307	+	0.536698i	0.995203	−	0.0978362i	$-0.0311921\pi$
$547$	5.19933	+	12.5523i	0.222307	+	0.536698i	−0.772895	+	0.634534i	$0.781192\pi$
$548$	−12.2560	+	15.7107i	−0.523551	+	0.671128i
$549$	−1.73500	+	1.33131i	−0.0740478	+	0.0568189i
$550$	−29.5058	+	14.4043i	−1.25813	+	0.614203i
$551$	9.63293	−	35.9506i	0.410377	−	1.53155i
$552$	−9.76618	−	2.06465i	−0.415676	−	0.0878773i
$553$	−30.4884	−	12.7596i	−1.29650	−	0.542593i
$554$	−4.90593	−	25.1896i	−0.208433	−	1.07020i
$555$	0.0587335	−	0.00773241i	0.00249310	−	0.000328222i
$556$	−2.61826	−	10.0936i	−0.111039	−	0.428062i
$557$	−24.0967	−	3.17239i	−1.02101	−	0.134419i	−0.398613	−	0.917119i	$-0.630508\pi$
$557$	−24.0967	−	3.17239i	−1.02101	−	0.134419i	−0.622398	+	0.782701i	$0.713842\pi$
$558$	−1.27787	−	3.81452i	−0.0540967	−	0.161481i
$559$		−	57.3708i		−	2.42653i
$560$	−3.74163	+	2.06331i	−0.158113	+	0.0871906i
$561$		−	22.4533i		−	0.947980i
$562$	−36.9455	+	12.3768i	−1.55845	+	0.522085i
$563$	−8.37124	−	1.10209i	−0.352806	−	0.0464477i	−0.0479592	−	0.998849i	$-0.515272\pi$
$563$	−8.37124	−	1.10209i	−0.352806	−	0.0464477i	−0.304846	+	0.952402i	$0.598605\pi$
$564$	4.80250	−	8.16670i	0.202222	−	0.343880i
$565$	−3.76886	+	0.496180i	−0.158557	+	0.0208745i
$566$	20.3021	−	3.95406i	0.853363	−	0.166201i
$567$	2.62436	−	0.335739i	0.110213	−	0.0140997i
$568$	−2.61852	+	3.81895i	−0.109871	+	0.160240i
$569$	1.44478	−	5.39200i	0.0605684	−	0.226044i	−0.929007	−	0.370063i	$-0.879336\pi$
$569$	1.44478	−	5.39200i	0.0605684	−	0.226044i	0.989575	+	0.144019i	$0.0460027\pi$
$570$	1.09759	+	2.24830i	0.0459730	+	0.0941710i
$571$	−16.4159	+	12.5964i	−0.686984	+	0.527141i	−0.892237	−	0.451568i	$-0.850865\pi$
$571$	−16.4159	+	12.5964i	−0.686984	+	0.527141i	0.205253	+	0.978709i	$0.434198\pi$
$572$	7.76152	+	62.8319i	0.324526	+	2.62713i
$573$	4.48894	+	10.8372i	0.187528	+	0.452733i
$574$	−8.21052	+	12.0866i	−0.342701	+	0.504483i
$575$		−	17.0706i		−	0.711894i
$576$	−7.95432	+	0.853715i	−0.331430	+	0.0355715i
$577$	−11.4470	−	6.60895i	−0.476546	−	0.275134i	0.242430	−	0.970169i	$-0.422056\pi$
$577$	−11.4470	−	6.60895i	−0.476546	−	0.275134i	−0.718976	+	0.695035i	$0.755389\pi$
$578$	6.89145	−	0.424033i	0.286646	−	0.0176375i
$579$	12.6671	+	9.71979i	0.526426	+	0.403941i
$580$	2.67532	−	6.31552i	0.111087	−	0.262238i
$581$	−8.16831	−	4.75591i	−0.338878	−	0.197308i
$582$	8.33748	−	12.3706i	0.345600	−	0.512778i
$583$	55.4342	+	14.8535i	2.29585	+	0.615171i
$584$	−9.91827	+	4.74416i	−0.410421	+	0.196315i
$585$	0.689138	+	2.57190i	0.0284923	+	0.106335i
$586$	−28.7655	+	25.0239i	−1.18829	+	1.03373i
$587$	38.6985	+	16.0295i	1.59726	+	0.661606i	0.991025	−	0.133680i	$-0.0426793\pi$
$587$	38.6985	+	16.0295i	1.59726	+	0.661606i	0.606235	+	0.795286i	$0.292679\pi$
$588$	3.41599	+	13.5769i	0.140873	+	0.559900i
$589$	−4.76993	−	11.5156i	−0.196541	−	0.474493i
$590$	−0.896989	−	2.67756i	−0.0369284	−	0.110233i
$591$	6.41665	+	3.70466i	0.263946	+	0.152389i
$592$	−0.0858999	+	0.580589i	−0.00353046	+	0.0238620i
$593$	−2.31188	−	4.00429i	−0.0949374	−	0.164436i	0.814645	−	0.579960i	$-0.196932\pi$
$593$	−2.31188	−	4.00429i	−0.0949374	−	0.164436i	−0.909582	+	0.415523i	$0.863598\pi$
$594$	1.35090	−	6.65235i	0.0554280	−	0.272949i
$595$	4.83134	−	1.27562i	0.198066	−	0.0522955i
$596$	−1.57478	+	1.54980i	−0.0645056	+	0.0634825i
$597$	0.129928	+	0.986899i	0.00531759	+	0.0403911i
$598$	−31.1256	−	10.7046i	−1.27282	−	0.437745i
$599$	8.28773	−	2.22069i	0.338627	−	0.0907349i	−0.0854982	−	0.996338i	$-0.527248\pi$
$599$	8.28773	−	2.22069i	0.338627	−	0.0907349i	0.424126	+	0.905603i	$0.360582\pi$
$600$	−4.24198	−	13.0068i	−0.173178	−	0.531001i
$601$	29.7384	−	29.7384i	1.21305	−	1.21305i	0.243035	−	0.970017i	$-0.421857\pi$
$601$	29.7384	−	29.7384i	1.21305	−	1.21305i	0.970017	−	0.243035i	$-0.0781431\pi$
$602$	−31.8750	−	6.59442i	−1.29913	−	0.268769i
$603$	−0.505472	−	0.209373i	−0.0205844	−	0.00852634i
$604$	31.0355	+	24.2110i	1.26282	+	0.985130i
$605$	−4.81924	−	0.634464i	−0.195930	−	0.0257946i
$606$	−18.3706	+	1.13035i	−0.746254	+	0.0459173i
$607$	2.20285	+	3.81545i	0.0894110	+	0.154864i	0.907262	−	0.420565i	$-0.138168\pi$
$607$	2.20285	+	3.81545i	0.0894110	+	0.154864i	−0.817851	+	0.575430i	$0.804835\pi$
$608$	−24.4026	+	4.34895i	−0.989657	+	0.176373i
$609$	−17.7788	−	13.7458i	−0.720434	−	0.557009i
$610$	−1.04101	+	0.689577i	−0.0421492	+	0.0279202i
$611$	19.0178	−	24.7844i	0.769377	−	1.00267i
$612$	9.26559	+	1.29527i	0.374539	+	0.0523582i
$613$	−7.01675	−	9.14441i	−0.283404	−	0.369339i	0.629859	−	0.776709i	$-0.283113\pi$
$613$	−7.01675	−	9.14441i	−0.283404	−	0.369339i	−0.913263	+	0.407370i	$0.866446\pi$
$614$	38.1469	+	2.65345i	1.53948	+	0.107084i
$615$	1.11487	+	1.11487i	0.0449559	+	0.0449559i
$616$	35.8013	+	2.90986i	1.44248	+	0.117242i
$617$	2.40913	−	2.40913i	0.0969880	−	0.0969880i	−0.656948	−	0.753936i	$-0.728153\pi$
$617$	2.40913	−	2.40913i	0.0969880	−	0.0969880i	0.753936	+	0.656948i	$0.228153\pi$
$618$	−15.6468	+	13.6116i	−0.629407	+	0.547541i
$619$	20.5586	−	15.7752i	0.826319	−	0.634057i	−0.106536	−	0.994309i	$-0.533976\pi$
$619$	20.5586	−	15.7752i	0.826319	−	0.634057i	0.932855	+	0.360252i	$0.117309\pi$
$620$	−0.576748	−	2.22340i	−0.0231627	−	0.0892937i
$621$	2.79989	+	2.14843i	0.112356	+	0.0862135i
$622$	−8.25335	−	1.67601i	−0.330929	−	0.0672020i
$623$	5.12397	−	2.10048i	0.205288	−	0.0841542i
$624$	−26.3759	−	0.421729i	−1.05588	−	0.0168827i
$625$	19.5561	−	11.2907i	0.782244	−	0.451629i
$626$	26.6858	−	30.1850i	1.06658	−	1.20644i
$627$	2.74526	−	20.8523i	0.109635	−	0.832762i
$628$	23.5911	+	41.6260i	0.941388	+	1.66106i
$629$	0.262661	−	0.634120i	0.0104730	−	0.0252840i
$630$	1.50815	−	0.0872590i	0.0600862	−	0.00347648i
$631$	17.8361	+	17.8361i	0.710044	+	0.710044i	0.966544	−	0.256500i	$-0.0825695\pi$
$631$	17.8361	+	17.8361i	0.710044	+	0.710044i	−0.256500	+	0.966544i	$0.582570\pi$
$632$	−22.9763	−	26.8419i	−0.913947	−	1.06772i
$633$	1.01960	+	3.80520i	0.0405254	+	0.151243i
$634$	30.0957	−	14.6923i	1.19525	−	0.583505i
$635$	−1.93439	+	0.254668i	−0.0767641	+	0.0101062i
$636$	−9.32730	+	22.0186i	−0.369852	+	0.873094i
$637$	5.69048	+	45.8117i	0.225465	+	1.81513i
$638$	−48.0687	+	31.8413i	−1.90306	+	1.26061i
$639$	1.41778	−	0.818555i	0.0560865	−	0.0323815i
$640$	−4.56464	+	0.171123i	−0.180433	+	0.00676421i
$641$	11.4726	−	19.8711i	0.453140	−	0.784862i	−0.545439	−	0.838151i	$-0.683637\pi$
$641$	11.4726	−	19.8711i	0.453140	−	0.784862i	0.998579	+	0.0532887i	$0.0169704\pi$
$642$	21.7541	+	10.8362i	0.858564	+	0.427672i
$643$	34.1819	−	14.1586i	1.34800	−	0.558361i	0.412267	−	0.911063i	$-0.364737\pi$
$643$	34.1819	−	14.1586i	1.34800	−	0.558361i	0.935736	+	0.352703i	$0.114737\pi$
$644$	−9.52516	+	16.0628i	−0.375344	+	0.632964i
$645$	−1.34411	+	3.24496i	−0.0529241	+	0.127770i
$646$	28.9177	+	2.01147i	1.13775	+	0.0791404i
$647$	−13.8621	+	3.71433i	−0.544974	+	0.146025i	−0.520794	−	0.853682i	$-0.674364\pi$
$647$	−13.8621	+	3.71433i	−0.544974	+	0.146025i	−0.0241796	+	0.999708i	$0.507697\pi$
$648$	2.66723	+	0.941217i	0.104779	+	0.0369745i
$649$	−6.14391	+	22.9294i	−0.241170	+	0.900058i
$650$	−8.62403	−	44.2802i	−0.338262	−	1.73681i
$651$	−7.52605	−	0.0275385i	−0.294969	−	0.00107932i
$652$	41.3223	+	0.330333i	1.61830	+	0.0129368i
$653$	−13.8787	+	18.0870i	−0.543114	+	0.707800i	−0.981602	−	0.190937i	$-0.938847\pi$
$653$	−13.8787	+	18.0870i	−0.543114	+	0.707800i	0.438488	+	0.898737i	$0.355514\pi$
$654$	7.61432	+	6.73161i	0.297744	+	0.263227i
$655$	−0.716643	+	1.24126i	−0.0280016	+	0.0485001i
$656$	−13.6508	+	7.59294i	−0.532975	+	0.296455i
$657$	3.88714			0.151652
$658$	−11.5842	−	13.4150i	−0.451599	−	0.522973i
$659$	17.4783	−	7.23977i	0.680860	−	0.282021i	−0.0153266	−	0.999883i	$-0.504879\pi$
$659$	17.4783	−	7.23977i	0.680860	−	0.282021i	0.696186	+	0.717861i	$0.254879\pi$
$660$	1.03305	−	3.73568i	0.0402114	−	0.145411i
$661$	−11.7363	−	15.2950i	−0.456489	−	0.594908i	0.507235	−	0.861808i	$-0.330668\pi$
$661$	−11.7363	−	15.2950i	−0.456489	−	0.594908i	−0.963724	+	0.266899i	$0.914001\pi$
$662$	−3.09958	+	9.01255i	−0.120469	+	0.350283i
$663$	29.7984	+	7.98445i	1.15727	+	0.310090i
$664$	−5.51267	−	8.46837i	−0.213933	−	0.328636i
$665$	4.64281	−	0.593963i	0.180041	−	0.0230329i
$666$	0.115971	−	0.172071i	0.00449380	−	0.00666761i
$667$	−3.91276	−	29.7204i	−0.151503	−	1.15078i
$668$	−1.13834	+	8.14301i	−0.0440438	+	0.315063i
$669$	0.0783076	−	0.594805i	0.00302755	−	0.0229965i
$670$	−0.279623	−	0.139287i	−0.0108028	−	0.00538113i
$671$	10.4970			0.405234
$672$	−3.26607	+	14.6059i	−0.125991	+	0.563435i
$673$	−14.4305			−0.556257			−0.278128	−	0.960544i	$-0.589714\pi$
$673$	−14.4305			−0.556257			−0.278128	+	0.960544i	$0.589714\pi$
$674$	41.9329	+	20.8878i	1.61519	+	0.804567i
$675$	−0.631354	+	4.79561i	−0.0243008	+	0.184583i
$676$	−60.3962	−	8.44301i	−2.32293	−	0.324731i
$677$	−0.284320	−	2.15963i	−0.0109273	−	0.0830012i	0.985112	−	0.171912i	$-0.0549946\pi$
$677$	−0.284320	−	2.15963i	−0.0109273	−	0.0830012i	−0.996040	+	0.0889112i	$0.971661\pi$
$678$	−7.44176	+	11.0416i	−0.285799	+	0.424050i
$679$	−16.9087	−	22.2037i	−0.648898	−	0.852098i
$680$	5.22640	+	1.10490i	0.200423	+	0.0423711i
$681$	14.9346	+	4.00172i	0.572297	+	0.153346i
$682$	−6.27987	+	18.2598i	−0.240469	+	0.699204i
$683$	−18.2191	−	23.7436i	−0.697135	−	0.908524i	0.301860	−	0.953352i	$-0.402393\pi$
$683$	−18.2191	−	23.7436i	−0.697135	−	0.908524i	−0.998995	+	0.0448282i	$0.985726\pi$
$684$	8.44655	+	2.33577i	0.322962	+	0.0893105i
$685$	3.71626	−	1.53933i	0.141991	−	0.0588147i
$686$	26.1069	+	2.10416i	0.996768	+	0.0803374i
$687$	−26.7031			−1.01879
$688$	−27.2645	−	21.6220i	−1.03945	−	0.824331i
$689$	−39.4250	+	68.2861i	−1.50197	+	2.60149i
$690$	1.50971	+	1.33469i	0.0574735	+	0.0508107i
$691$	−6.21182	+	8.09541i	−0.236309	+	0.307964i	−0.896421	−	0.443203i	$-0.853842\pi$
$691$	−6.21182	+	8.09541i	−0.236309	+	0.307964i	0.660112	+	0.751167i	$0.270509\pi$
$692$	−0.282413	+	35.3278i	−0.0107357	+	1.34296i
$693$	−10.9747	−	6.38991i	−0.416895	−	0.242733i
$694$	−4.92295	−	25.2769i	−0.186873	−	0.959500i
$695$	−0.544826	+	2.03332i	−0.0206664	+	0.0771281i
$696$	−10.3667	−	21.6729i	−0.392948	−	0.821508i
$697$	17.6450	−	4.72797i	0.668352	−	0.179084i
$698$	−34.9293	−	2.42964i	−1.32209	−	0.0919631i
$699$	1.09983	−	2.65523i	0.0415994	−	0.100430i
$700$	−25.5932	−	0.298251i	−0.967332	−	0.0112728i
$701$	9.62151	−	3.98536i	0.363399	−	0.150525i	−0.193510	−	0.981098i	$-0.561987\pi$
$701$	9.62151	−	3.98536i	0.363399	−	0.150525i	0.556909	+	0.830573i	$0.311987\pi$
$702$	8.34812	+	4.15840i	0.315080	+	0.156949i
$703$	0.321463	−	0.556791i	0.0121242	−	0.0209998i
$704$	32.7849	+	19.9916i	1.23563	+	0.753463i
$705$	−1.65633	+	0.956281i	−0.0623809	+	0.0360156i
$706$	−22.4287	+	14.8571i	−0.844116	+	0.559153i
$707$	−9.03361	+	33.2271i	−0.339744	+	1.24963i
$708$	−9.10762	−	3.85808i	−0.342285	−	0.144996i
$709$	−45.6581	+	6.01101i	−1.71473	+	0.225748i	−0.922912	−	0.385012i	$-0.874197\pi$
$709$	−45.6581	+	6.01101i	−1.71473	+	0.225748i	−0.791816	+	0.610760i	$0.790864\pi$
$710$	0.840005	−	0.410079i	0.0315248	−	0.0153900i
$711$	3.23317	+	12.0663i	0.121253	+	0.452523i
$712$	5.90240	+	0.458002i	0.221202	+	0.0171644i
$713$	−7.09872	−	7.09872i	−0.265849	−	0.265849i
$714$	7.86128	−	15.6381i	0.294201	−	0.585242i
$715$	4.89085	−	11.8076i	0.182908	−	0.441578i
$716$	23.5293	−	13.3350i	0.879332	−	0.498353i
$717$	−0.506513	+	3.84735i	−0.0189161	+	0.143682i
$718$	5.69041	−	6.43659i	0.212364	−	0.240211i
$719$	−18.6244	+	10.7528i	−0.694572	+	0.401012i	−0.805323	−	0.592837i	$-0.798008\pi$
$719$	−18.6244	+	10.7528i	−0.694572	+	0.401012i	0.110750	+	0.993848i	$0.464675\pi$
$720$	1.48197	+	0.641800i	0.0552299	+	0.0239185i
$721$	14.7164	+	35.8995i	0.548068	+	1.33697i
$722$	0.277221	+	0.0562955i	0.0103171	+	0.00209510i
$723$	−18.1516	−	13.9282i	−0.675064	−	0.517995i
$724$	8.72680	−	2.26373i	0.324329	−	0.0841308i
$725$	32.5952	−	25.0112i	1.21055	−	0.928891i
$726$	−12.8458	+	11.1749i	−0.476751	+	0.414740i
$727$	−11.4252	+	11.4252i	−0.423739	+	0.423739i	−0.886489	−	0.462750i	$-0.846863\pi$
$727$	−11.4252	+	11.4252i	−0.423739	+	0.423739i	0.462750	+	0.886489i	$0.346863\pi$
$728$	−16.5928	+	46.4781i	−0.614970	+	1.72259i
$729$	−0.707107	−	0.707107i	−0.0261891	−	0.0261891i
$730$	2.21413	+	0.154012i	0.0819488	+	0.00570025i
$731$	24.7731	+	32.2849i	0.916266	+	1.19410i
$732$	−0.605545	+	4.33171i	−0.0223816	+	0.160105i
$733$	−19.2464	+	25.0824i	−0.710883	+	0.926441i	−0.999519	−	0.0309979i	$-0.990131\pi$
$733$	−19.2464	+	25.0824i	−0.710883	+	0.926441i	0.288636	+	0.957439i	$0.406798\pi$
$734$	−16.2042	+	10.7339i	−0.598108	+	0.396195i
$735$	0.751435	−	2.72448i	0.0277171	−	0.100494i
$736$	−16.8178	+	10.7575i	−0.619914	+	0.396527i
$737$	1.31307	+	2.27430i	0.0483674	+	0.0837748i
$738$	5.51223	−	0.339169i	0.202908	−	0.0124850i
$739$	−5.50240	−	0.724404i	−0.202409	−	0.0266476i	0.0286399	−	0.999590i	$-0.490882\pi$
$739$	−5.50240	−	0.724404i	−0.202409	−	0.0266476i	−0.231049	+	0.972942i	$0.574216\pi$
$740$	0.0728755	−	0.0934174i	0.00267896	−	0.00343409i
$741$	26.6974	+	11.0584i	0.980755	+	0.406242i
$742$	33.4079	+	29.7535i	1.22644	+	1.09229i
$743$	−25.5084	+	25.5084i	−0.935811	+	0.935811i	−0.998061	−	0.0622492i	$-0.980173\pi$
$743$	−25.5084	+	25.5084i	−0.935811	+	0.935811i	0.0622492	+	0.998061i	$0.480173\pi$
$744$	−7.17282	−	3.64481i	−0.262968	−	0.133625i
$745$	0.430836	−	0.115442i	0.0157846	−	0.00422947i
$746$	28.0390	+	9.64312i	1.02658	+	0.353060i
$747$	0.466306	+	3.54195i	0.0170613	+	0.129593i
$748$	−31.4990	−	32.0066i	−1.15172	−	1.17028i
$749$	32.2680	−	32.0327i	1.17905	−	1.17045i
$750$	−1.11778	+	5.50438i	−0.0408155	+	0.200992i
$751$	−10.4401	−	18.0828i	−0.380966	−	0.659852i	0.610235	−	0.792221i	$-0.291075\pi$
$751$	−10.4401	−	18.0828i	−0.380966	−	0.659852i	−0.991201	+	0.132369i	$0.957742\pi$
$752$	−4.61094	−	18.3787i	−0.168144	−	0.670201i
$753$	15.5689	+	8.98874i	0.567364	+	0.327568i
$754$	−25.1641	−	75.1161i	−0.916423	−	2.73557i
$755$	−3.04084	−	7.34124i	−0.110668	−	0.267175i
$756$	3.26996	−	4.16021i	0.118927	−	0.151305i
$757$	3.99299	+	1.65395i	0.145128	+	0.0601138i	0.454065	−	0.890969i	$-0.349973\pi$
$757$	3.99299	+	1.65395i	0.145128	+	0.0601138i	−0.308937	+	0.951082i	$0.599973\pi$
$758$	−35.8436	+	31.1814i	−1.30190	+	1.13256i
$759$	−4.38435	−	16.3626i	−0.159142	−	0.593926i
$760$	4.71865	+	1.66513i	0.171163	+	0.0604005i
$761$	−30.3170	−	8.12340i	−1.09899	−	0.294473i	−0.336636	−	0.941635i	$-0.609289\pi$
$761$	−30.3170	−	8.12340i	−1.09899	−	0.294473i	−0.762353	+	0.647162i	$0.775956\pi$
$762$	−3.81954	+	5.66717i	−0.138367	+	0.205300i
$763$	16.5011	−	9.44657i	0.597380	−	0.341989i
$764$	21.6020	+	9.15085i	0.781534	+	0.331066i
$765$	−1.49837	−	1.14974i	−0.0541736	−	0.0415689i
$766$	13.4542	−	0.827843i	0.486121	−	0.0299112i
$767$	−28.2454	−	16.3075i	−1.01988	−	0.588830i
$768$	−10.1410	+	12.3758i	−0.365933	+	0.446572i
$769$			48.4573i			1.74742i	0.486450	+	0.873708i	$0.338292\pi$
$769$			48.4573i			1.74742i	−0.486450	+	0.873708i	$0.661708\pi$
$770$	−5.99807	−	4.07455i	−0.216156	−	0.146837i
$771$	−1.24113	−	2.99636i	−0.0446983	−	0.107911i
$772$	31.6921	−	3.91488i	1.14062	−	0.140900i
$773$	10.6129	−	8.14353i	0.381718	−	0.292902i	−0.400024	−	0.916505i	$-0.630998\pi$
$773$	10.6129	−	8.14353i	0.381718	−	0.292902i	0.781742	+	0.623602i	$0.214332\pi$
$774$	5.39722	+	11.0557i	0.193999	+	0.397388i
$775$	3.56117	−	13.2905i	0.127921	−	0.477408i
$776$	−5.46940	−	29.3303i	−0.196340	−	1.05290i
$777$	−0.235195	−	0.308845i	−0.00843757	−	0.0110798i
$778$	15.7743	−	3.07221i	0.565536	−	0.110144i
$779$	16.9649	−	2.23348i	0.607832	−	0.0800226i
$780$	4.59037	+	2.69940i	0.164362	+	0.0966542i
$781$	−7.79079	−	1.02568i	−0.278777	−	0.0367016i
$782$	22.1380	−	7.41628i	0.791652	−	0.265206i
$783$			8.49398i			0.303550i
$784$	23.9159	+	14.5613i	0.854138	+	0.520046i
$785$		−	9.65882i		−	0.344738i
$786$	1.59475	+	4.76041i	0.0568829	+	0.169798i
$787$	−43.7782	−	5.76350i	−1.56052	−	0.205447i	−0.699732	−	0.714405i	$-0.746697\pi$
$787$	−43.7782	−	5.76350i	−1.56052	−	0.205447i	−0.860791	+	0.508959i	$0.830031\pi$
$788$	14.3439	−	3.72080i	0.510980	−	0.132548i
$789$	19.1698	−	2.52376i	0.682464	−	0.0898481i
$790$	1.36355	+	7.00114i	0.0485128	+	0.249089i
$791$	15.0922	+	19.8183i	0.536617	+	0.704656i
$792$	−7.40667	−	11.3779i	−0.263185	−	0.404295i
$793$	−3.73277	+	13.9309i	−0.132555	+	0.494701i
$794$	−3.73797	+	1.82482i	−0.132655	+	0.0647606i
$795$	3.82976	−	2.93868i	0.135828	−	0.104224i
$796$	1.56969	+	1.22453i	0.0556363	+	0.0434022i
$797$	7.11630	+	17.1803i	0.252072	+	0.608557i	0.998371	−	0.0570546i	$-0.0181709\pi$
$797$	7.11630	+	17.1803i	0.252072	+	0.608557i	−0.746299	+	0.665611i	$0.768171\pi$
$798$	9.21275	−	13.5619i	0.326128	−	0.480087i
$799$			22.1592i			0.783937i
$800$	−24.2936	−	12.5900i	−0.858909	−	0.445122i
$801$	−1.81267	−	1.04654i	−0.0640474	−	0.0369778i
$802$	1.27415	+	20.7076i	0.0449917	+	0.731211i
$803$	−14.8024	−	11.3583i	−0.522366	−	0.400825i
$804$	−1.01426	+	0.410652i	−0.0357701	+	0.0144826i
$805$	3.27170	−	1.87299i	0.115312	−	0.0660142i
$806$	−21.9999	−	14.8274i	−0.774914	−	0.522273i
$807$	22.1635	+	5.93870i	0.780194	+	0.209052i
$808$	−24.6010	+	27.3827i	−0.865462	+	0.963320i
$809$	10.0577	+	37.5359i	0.353610	+	1.31969i	0.882225	+	0.470829i	$0.156045\pi$
$809$	10.0577	+	37.5359i	0.353610	+	1.31969i	−0.528614	+	0.848862i	$0.677288\pi$
$810$	−0.374755	−	0.430787i	−0.0131675	−	0.0151363i
$811$	−38.7760	−	16.0615i	−1.36161	−	0.563997i	−0.422108	−	0.906545i	$-0.638710\pi$
$811$	−38.7760	−	16.0615i	−1.36161	−	0.563997i	−0.939500	+	0.342549i	$0.888710\pi$
$812$	−44.6268	+	5.34696i	−1.56609	+	0.187642i
$813$	−0.0231519	−	0.0558937i	−0.000811974	−	0.00196028i
$814$	−0.944418	+	0.316382i	−0.0331018	+	0.0110892i
$815$	−7.22445	−	4.17104i	−0.253062	−	0.146105i
$816$	15.0249	−	11.1520i	0.525978	−	0.390397i
$817$	19.0594	+	33.0118i	0.666803	+	1.15494i
$818$	27.5893	+	5.60257i	0.964636	+	0.195889i
$819$	12.3829	−	12.2926i	0.432692	−	0.429537i
$820$	3.15323	+	0.0252071i	0.110115	+	0.000880271i
$821$	−4.43785	−	33.7088i	−0.154882	−	1.17645i	−0.875537	−	0.483151i	$-0.839492\pi$
$821$	−4.43785	−	33.7088i	−0.154882	−	1.17645i	0.720655	−	0.693294i	$-0.243841\pi$
$822$	4.58226	−	13.3237i	0.159825	−	0.464717i
$823$	−8.14649	+	2.18284i	−0.283969	+	0.0760892i	−0.397992	−	0.917389i	$-0.630293\pi$
$823$	−8.14649	+	2.18284i	−0.283969	+	0.0760892i	0.114023	+	0.993478i	$0.463626\pi$
$824$	−3.20885	+	41.3534i	−0.111786	+	1.44061i
$825$	16.4171	−	16.4171i	0.571569	−	0.571569i
$826$	−12.3070	+	13.8186i	−0.428216	+	0.480811i
$827$	−26.7007	−	11.0598i	−0.928475	−	0.384587i	−0.133375	−	0.991066i	$-0.542582\pi$
$827$	−26.7007	−	11.0598i	−0.928475	−	0.384587i	−0.795100	+	0.606479i	$0.792582\pi$
$828$	7.00512	−	0.865331i	0.243445	−	0.0300723i
$829$	24.0549	+	3.16688i	0.835460	+	0.109990i	0.536105	−	0.844152i	$-0.319895\pi$
$829$	24.0549	+	3.16688i	0.835460	+	0.109990i	0.299355	+	0.954142i	$0.403229\pi$
$830$	0.125275	+	2.03598i	0.00434836	+	0.0706701i
$831$	9.07319	+	15.7152i	0.314745	+	0.545155i
$832$	−38.1898	+	36.4007i	−1.32399	+	1.26197i
$833$	−22.9841	−	23.3230i	−0.796351	−	0.808093i
$834$	4.07192	+	6.14711i	0.140999	+	0.212857i
$835$	1.01044	−	1.31683i	0.0349678	−	0.0455709i
$836$	−25.3397	−	33.5757i	−0.876391	−	1.16124i
$837$	1.73168	+	2.25677i	0.0598557	+	0.0780055i
$838$	3.61030	−	51.9030i	0.124716	−	1.79296i
$839$	−14.5338	−	14.5338i	−0.501762	−	0.501762i	0.410223	−	0.911985i	$-0.365451\pi$
$839$	−14.5338	−	14.5338i	−0.501762	−	0.501762i	−0.911985	+	0.410223i	$0.865451\pi$
$840$	2.02742	−	2.24011i	0.0699525	−	0.0772913i
$841$	30.5101	−	30.5101i	1.05207	−	1.05207i
$842$	−17.0120	−	19.5556i	−0.586271	−	0.673929i
$843$	21.8579	−	16.7722i	0.752828	−	0.577665i
$844$	6.79158	+	3.99385i	0.233776	+	0.137474i
$845$	9.76687	+	7.49438i	0.335991	+	0.257815i
$846$	−1.33320	+	6.56522i	−0.0458365	+	0.225717i
$847$	12.0819	+	29.4729i	0.415139	+	1.01270i
$848$	17.5933	+	44.4718i	0.604155	+	1.52717i
$849$	−12.6661	+	7.31276i	−0.434699	+	0.250973i
$850$	23.9736	+	21.1944i	0.822287	+	0.726961i
$851$	0.0675900	−	0.513397i	0.00231695	−	0.0175990i
$852$	0.872685	−	3.15578i	0.0298977	−	0.108115i
$853$	1.35644	−	3.27474i	0.0464437	−	0.112125i	−0.898955	−	0.438041i	$-0.855673\pi$
$853$	1.35644	−	3.27474i	0.0464437	−	0.112125i	0.945399	+	0.325916i	$0.105673\pi$
$854$	7.31090	+	3.67519i	0.250174	+	0.125762i
$855$	−1.25096	−	1.25096i	−0.0427818	−	0.0427818i
$856$	46.2116	−	15.0712i	1.57948	−	0.515124i
$857$	1.91324	+	7.14032i	0.0653552	+	0.243909i	0.990874	−	0.134794i	$-0.0430371\pi$
$857$	1.91324	+	7.14032i	0.0653552	+	0.243909i	−0.925519	+	0.378702i	$0.876370\pi$
$858$	−19.6391	−	40.2287i	−0.670468	−	1.37339i
$859$	20.6830	−	2.72297i	0.705696	−	0.0929067i	0.230868	−	0.972985i	$-0.425843\pi$
$859$	20.6830	−	2.72297i	0.705696	−	0.0929067i	0.474828	+	0.880078i	$0.342510\pi$
$860$	2.63625	+	6.51120i	0.0898953	+	0.222030i
$861$	2.71060	−	9.97003i	0.0923770	−	0.339778i
$862$	30.9496	+	46.7225i	1.05415	+	1.59137i
$863$	26.7364	−	15.4363i	0.910119	−	0.525458i	0.0296497	−	0.999560i	$-0.490561\pi$
$863$	26.7364	−	15.4363i	0.910119	−	0.525458i	0.880470	+	0.474103i	$0.157227\pi$
$864$	5.12246	−	2.40008i	0.174270	−	0.0816523i
$865$	3.56596	−	6.17642i	0.121246	−	0.210005i
$866$	−4.01740	+	8.06506i	−0.136517	+	0.274062i
$867$	−4.51057	+	1.86834i	−0.153187	+	0.0634521i
$868$	−10.7668	+	10.5188i	−0.365450	+	0.357030i
$869$	22.9460	−	55.3965i	0.778389	−	1.87920i
$870$	−0.336539	+	4.83821i	−0.0114098	+	0.164031i
$871$	−3.48521	+	0.933859i	−0.118092	+	0.0316426i
$872$	20.2975	−	1.08612i	0.687362	−	0.0367807i
$873$	−2.73017	+	10.1891i	−0.0924024	+	0.344850i
$874$	21.4662	−	4.18077i	0.726106	−	0.141417i
$875$	9.08086	+	5.28723i	0.306989	+	0.178741i
$876$	5.54102	−	5.45313i	0.187214	−	0.184244i
$877$	0.103625	−	0.135047i	0.00349916	−	0.00456020i	−0.791600	−	0.611039i	$-0.790752\pi$
$877$	0.103625	−	0.135047i	0.00349916	−	0.00456020i	0.795100	+	0.606479i	$0.207419\pi$
$878$	9.95726	−	11.2629i	0.336041	−	0.380106i
$879$	13.4798	−	23.3478i	0.454664	−	0.787501i
$880$	−3.76807	−	6.77435i	−0.127022	−	0.228363i
$881$	−37.8819			−1.27628			−0.638138	−	0.769922i	$-0.720295\pi$
$881$	−37.8819			−1.27628			−0.638138	+	0.769922i	$0.720295\pi$
$882$	−5.40638	−	8.29283i	−0.182042	−	0.279234i
$883$	−6.93627	+	2.87310i	−0.233424	+	0.0966874i	−0.496330	−	0.868134i	$-0.665319\pi$
$883$	−6.93627	+	2.87310i	−0.233424	+	0.0966874i	0.262906	+	0.964822i	$0.415319\pi$
$884$	53.6779	−	30.4214i	1.80538	−	1.02318i
$885$	1.21553	+	1.58412i	0.0408597	+	0.0532495i
$886$	−5.72649	−	1.96944i	−0.192385	−	0.0661647i
$887$	−39.9432	−	10.7027i	−1.34116	−	0.359363i	−0.484296	−	0.874904i	$-0.660924\pi$
$887$	−39.9432	−	10.7027i	−1.34116	−	0.359363i	−0.856865	+	0.515541i	$0.827591\pi$
$888$	−0.0760775	−	0.407974i	−0.00255299	−	0.0136907i
$889$	7.74618	+	10.1719i	0.259798	+	0.341153i
$890$	−0.991038	−	0.667935i	−0.0332197	−	0.0223892i
$891$	0.626517	+	4.75887i	0.0209891	+	0.159428i
$892$	−0.722805	−	0.957734i	−0.0242013	−	0.0320673i
$893$	−2.70930	+	20.5792i	−0.0906634	+	0.688657i
$894$	0.696602	−	1.39845i	0.0232979	−	0.0467712i
$895$	−5.45970			−0.182498
$896$	15.8344	+	25.4022i	0.528991	+	0.848628i
$897$	23.2743			0.777108
$898$	−2.40651	+	4.83114i	−0.0803062	+	0.161217i
$899$	3.15377	−	23.9553i	0.105184	−	0.798953i
$900$	5.82761	+	7.72172i	0.194254	+	0.257391i
$901$	−7.30032	−	55.4514i	−0.243209	−	1.84735i
$902$	−21.9818	−	14.8152i	−0.731915	−	0.493293i
$903$	22.8303	−	2.92072i	0.759744	−	0.0971954i
$904$	4.88181	+	26.1793i	0.162367	+	0.870710i
$905$	−1.75799	−	0.471052i	−0.0584375	−	0.0156583i
$906$	−26.3201	−	9.05195i	−0.874427	−	0.300731i
$907$	−19.3443	−	25.2100i	−0.642318	−	0.837085i	0.352808	−	0.935696i	$-0.385227\pi$
$907$	−19.3443	−	25.2100i	−0.642318	−	0.837085i	−0.995126	+	0.0986106i	$0.968560\pi$
$908$	26.9028	−	15.2469i	0.892801	−	0.505986i
$909$	12.0239	−	4.98044i	0.398806	−	0.165191i
$910$	7.54037	−	6.51128i	0.249961	−	0.215847i
$911$	34.1693			1.13208			0.566040	−	0.824378i	$-0.308475\pi$
$911$	34.1693			1.13208			0.566040	+	0.824378i	$0.308475\pi$
$912$	15.3171	−	8.51978i	0.507200	−	0.282118i
$913$	8.57391	−	14.8504i	0.283755	−	0.491478i
$914$	3.72532	−	4.21381i	0.123223	−	0.139381i
$915$	0.537508	−	0.700495i	0.0177695	−	0.0231576i
$916$	−38.0646	+	37.4608i	−1.25769	+	1.23774i
$917$	9.39231	+	0.0343674i	0.310161	+	0.00113491i
$918$	−6.49346	+	1.26467i	−0.214316	+	0.0417403i
$919$	−12.1006	+	45.1600i	−0.399162	+	1.48969i	0.415412	+	0.909633i	$0.363637\pi$
$919$	−12.1006	+	45.1600i	−0.399162	+	1.48969i	−0.814574	+	0.580059i	$0.803029\pi$
$920$	4.02443	−	0.215347i	0.132682	−	0.00709979i
$921$	−26.1178	+	6.99823i	−0.860609	+	0.230600i
$922$	−4.12067	+	59.2402i	−0.135707	+	1.95097i
$923$	4.13163	−	9.97463i	0.135994	−	0.328319i
$924$	−24.6083	+	6.28738i	−0.809555	+	0.206840i
$925$	0.655694	−	0.271597i	0.0215591	−	0.00893007i
$926$	−8.17953	+	16.4207i	−0.268796	+	0.539617i
$927$	7.33229	−	12.6999i	0.240824	−	0.417119i
$928$	−45.1815	−	16.3511i	−1.48316	−	0.536750i
$929$	−14.9132	+	8.61012i	−0.489285	+	0.282489i	−0.724278	−	0.689508i	$-0.757827\pi$
$929$	−14.9132	+	8.61012i	−0.489285	+	0.282489i	0.234993	+	0.971997i	$0.424493\pi$
$930$	0.896959	+	1.35408i	0.0294124	+	0.0444020i
$931$	−18.4936	−	24.4701i	−0.606105	−	0.801975i
$932$	−2.15714	−	5.32787i	−0.0706595	−	0.174520i
$933$	5.90417	−	0.777298i	0.193294	−	0.0254476i
$934$	12.5468	+	25.7009i	0.410545	+	0.840960i
$935$	2.34630	+	8.75651i	0.0767322	+	0.286368i
$936$	17.7337	−	5.78359i	0.579644	−	0.189042i
$937$	−2.83451	−	2.83451i	−0.0925994	−	0.0925994i	0.659290	−	0.751889i	$-0.270857\pi$
$937$	−2.83451	−	2.83451i	−0.0925994	−	0.0925994i	−0.751889	+	0.659290i	$0.770857\pi$
$938$	0.118246	+	2.04371i	0.00386086	+	0.0667296i
$939$	−10.9023	+	26.3206i	−0.355784	+	0.858939i
$940$	−1.01952	+	3.68675i	−0.0332530	+	0.120249i
$941$	6.15080	−	46.7200i	0.200510	−	1.52303i	−0.534614	−	0.845096i	$-0.679543\pi$
$941$	6.15080	−	46.7200i	0.200510	−	1.52303i	0.735125	−	0.677932i	$-0.237124\pi$
$942$	−25.3472	−	22.4087i	−0.825856	−	0.730116i
$943$	11.9354	−	6.89091i	0.388670	−	0.224399i
$944$	−18.3950	+	7.27715i	−0.598707	+	0.236851i
$945$	−0.988384	+	0.405171i	−0.0321521	+	0.0131802i
$946$	11.7520	−	57.8712i	0.382089	−	1.88156i
$947$	−1.66566	−	1.27810i	−0.0541266	−	0.0415328i	0.581344	−	0.813658i	$-0.302527\pi$
$947$	−1.66566	−	1.27810i	−0.0541266	−	0.0415328i	−0.635470	+	0.772125i	$0.719194\pi$
$948$	21.5362	+	12.6646i	0.699464	+	0.411326i
$949$	20.3376	−	15.6056i	0.660188	−	0.506580i
$950$	19.6728	+	22.6143i	0.638271	+	0.733704i
$951$	−16.7452	+	16.7452i	−0.543001	+	0.543001i
$952$	−10.7321	−	33.3200i	−0.347830	−	1.07991i
$953$	8.59402	+	8.59402i	0.278388	+	0.278388i	0.832465	−	0.554077i	$-0.186929\pi$
$953$	8.59402	+	8.59402i	0.278388	+	0.278388i	−0.554077	+	0.832465i	$0.686929\pi$
$954$	1.17332	−	16.8681i	0.0379876	−	0.546124i
$955$	−2.88308	−	3.75731i	−0.0932944	−	0.121584i
$956$	4.67529	+	6.19487i	0.151210	+	0.200356i
$957$	24.8195	−	32.3455i	0.802302	−	1.04558i
$958$	10.2858	+	15.5277i	0.332318	+	0.501679i
$959$	−20.8534	−	16.1229i	−0.673391	−	0.520637i
$960$	3.01287	−	1.16414i	0.0972400	−	0.0375724i
$961$	11.4541	+	19.8391i	0.369488	+	0.639972i
$962$	−0.0840423	−	1.36587i	−0.00270963	−	0.0440373i
$963$	−17.0382	−	2.24312i	−0.549048	−	0.0722835i
$964$	−45.4139	+	5.60991i	−1.46268	+	0.180683i
$965$	−5.95568	−	2.46693i	−0.191720	−	0.0794131i
$966$	2.67524	−	12.9312i	0.0860746	−	0.416053i
$967$	8.55432	−	8.55432i	0.275088	−	0.275088i	−0.556056	−	0.831145i	$-0.687686\pi$
$967$	8.55432	−	8.55432i	0.275088	−	0.275088i	0.831145	+	0.556056i	$0.187686\pi$
$968$	−2.63441	+	33.9504i	−0.0846731	+	1.09121i
$969$	−19.7989	+	5.30509i	−0.636031	+	0.170424i
$970$	−1.95882	+	5.69561i	−0.0628940	+	0.182875i
$971$	1.07482	+	8.16408i	0.0344927	+	0.261998i	0.999999	+	0.00161711i	$0.000514741\pi$
$971$	1.07482	+	8.16408i	0.0344927	+	0.261998i	−0.965506	+	0.260381i	$0.916152\pi$
$972$	−1.99994	−	0.0159876i	−0.0641480	−	0.000512804i
$973$	13.3374	−	3.52148i	0.427577	−	0.112894i
$974$	−22.4651	−	4.56201i	−0.719829	−	0.146176i
$975$	15.9496	+	27.6254i	0.510795	+	0.884722i
$976$	5.21361	+	7.02423i	0.166883	+	0.224840i
$977$	−35.9306	−	20.7446i	−1.14952	−	0.663677i	−0.200751	−	0.979642i	$-0.564338\pi$
$977$	−35.9306	−	20.7446i	−1.14952	−	0.663677i	−0.948771	+	0.315965i	$0.897672\pi$
$978$	−27.7068	+	9.28185i	−0.885966	+	0.296801i
$979$	3.84470	+	9.28192i	0.122877	+	0.296651i
$980$	−2.75093	−	4.93784i	−0.0878751	−	0.157733i
$981$	−6.63949	−	2.75017i	−0.211983	−	0.0878061i
$982$	−30.8188	−	35.4268i	−0.983468	−	1.13051i
$983$	−6.76401	−	25.2436i	−0.215738	−	0.805147i	−0.985905	−	0.167304i	$-0.946494\pi$
$983$	−6.76401	−	25.2436i	−0.215738	−	0.805147i	0.770167	−	0.637842i	$-0.220173\pi$
$984$	7.38172	−	8.21638i	0.235321	−	0.261929i
$985$	−2.88954	−	0.774249i	−0.0920683	−	0.0246696i
$986$	46.5965	+	31.4049i	1.48394	+	1.00014i
$987$	10.8310	+	6.30622i	0.344754	+	0.200729i
$988$	53.5700	−	21.6894i	1.70429	−	0.690030i
$989$	24.3572	+	18.6900i	0.774515	+	0.594306i
$990$	0.168316	+	2.73550i	0.00534943	+	0.0869397i
$991$	47.1531	+	27.2238i	1.49787	+	0.864793i	0.999997	−	0.00245875i	$-0.000782645\pi$
$991$	47.1531	+	27.2238i	1.49787	+	0.864793i	0.497869	+	0.867252i	$0.334116\pi$
$992$	−15.3378	+	4.86691i	−0.486977	+	0.154524i
$993$		−	6.73920i		−	0.213862i
$994$	−5.06697	−	3.44204i	−0.160715	−	0.109175i
$995$	−0.153798	−	0.371301i	−0.00487572	−	0.0117710i
$996$	5.63358	+	4.39479i	0.178507	+	0.139254i
$997$	2.29677	−	1.76237i	0.0727394	−	0.0558149i	−0.571752	−	0.820427i	$-0.693736\pi$
$997$	2.29677	−	1.76237i	0.0727394	−	0.0558149i	0.644491	+	0.764612i	$0.277069\pi$
$998$	−0.748943	+	0.365624i	−0.0237074	+	0.0115736i
$999$	−0.0379758	+	0.141728i	−0.00120150	+	0.00448406i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	672.2.cf.a.619.23	yes	512
7.5	odd	6	inner	672.2.cf.a.523.63	yes	512
32.3	odd	8	inner	672.2.cf.a.451.63	yes	512
224.131	even	24	inner	672.2.cf.a.355.23	✓	512

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
672.2.cf.a.355.23	✓	512	224.131	even	24	inner
672.2.cf.a.451.63	yes	512	32.3	odd	8	inner
672.2.cf.a.523.63	yes	512	7.5	odd	6	inner
672.2.cf.a.619.23	yes	512	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 672 = 2^{5} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	672.cf (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.630555 + 1.26586i) q^{2} +(0.130526 - 0.991445i) q^{3} +(-1.20480 - 1.59639i) q^{4} +(0.0526992 + 0.400290i) q^{5} +(1.17273 + 0.790389i) q^{6} +(2.10490 - 1.60294i) q^{7} +(2.78050 - 0.518496i) q^{8} +(-0.965926 - 0.258819i) q^{9} +O(q^{10})\)	\(q+(-0.630555 + 1.26586i) q^{2} +(0.130526 - 0.991445i) q^{3} +(-1.20480 - 1.59639i) q^{4} +(0.0526992 + 0.400290i) q^{5} +(1.17273 + 0.790389i) q^{6} +(2.10490 - 1.60294i) q^{7} +(2.78050 - 0.518496i) q^{8} +(-0.965926 - 0.258819i) q^{9} +(-0.539941 - 0.185695i) q^{10} +(2.92201 + 3.80804i) q^{11} +(-1.73999 + 0.986122i) q^{12} +(-6.09283 + 2.52373i) q^{13} +(0.701844 + 3.67524i) q^{14} +0.403744 q^{15} +(-1.09691 + 3.84666i) q^{16} +(2.33892 - 4.05113i) q^{17} +(0.936698 - 1.05953i) q^{18} +(2.66746 - 3.47630i) q^{19} +(0.575527 - 0.566398i) q^{20} +(-1.31448 - 2.29611i) q^{21} +(-6.66294 + 1.29768i) q^{22} +(0.913419 - 3.40893i) q^{23} +(-0.151133 - 2.82439i) q^{24} +(4.67217 - 1.25191i) q^{25} +(0.647175 - 9.30401i) q^{26} +(-0.382683 + 0.923880i) q^{27} +(-5.09489 - 1.42901i) q^{28} +(7.84742 - 3.25051i) q^{29} +(-0.254583 + 0.511084i) q^{30} +(1.42230 - 2.46350i) q^{31} +(-4.17766 - 3.81407i) q^{32} +(4.15686 - 2.39997i) q^{33} +(3.65334 + 5.51521i) q^{34} +(0.752568 + 0.758095i) q^{35} +(0.750572 + 1.85382i) q^{36} +(0.145472 - 0.0191517i) q^{37} +(2.71853 + 5.56863i) q^{38} +(1.70687 + 6.37011i) q^{39} +(0.354079 + 1.08568i) q^{40} +(2.76133 + 2.76133i) q^{41} +(3.73541 - 0.216124i) q^{42} +(-3.32910 + 8.03716i) q^{43} +(2.55867 - 9.25260i) q^{44} +(0.0526992 - 0.400290i) q^{45} +(3.73926 + 3.30578i) q^{46} +(-4.10242 + 2.36853i) q^{47} +(3.67057 + 1.58962i) q^{48} +(1.86117 - 6.74804i) q^{49} +(-1.36133 + 6.70371i) q^{50} +(-3.71118 - 2.84769i) q^{51} +(11.3695 + 6.68593i) q^{52} +(9.48561 - 7.27856i) q^{53} +(-0.928199 - 1.06698i) q^{54} +(-1.37033 + 1.37033i) q^{55} +(5.02153 - 5.54835i) q^{56} +(-3.09839 - 3.09839i) q^{57} +(-0.833546 + 11.9834i) q^{58} +(3.01065 + 3.92356i) q^{59} +(-0.486431 - 0.644533i) q^{60} +(1.33131 - 1.73500i) q^{61} +(2.22160 + 3.35380i) q^{62} +(-2.44804 + 1.00353i) q^{63} +(7.46232 - 2.88335i) q^{64} +(-1.33131 - 2.30590i) q^{65} +(0.416888 + 6.77532i) q^{66} +(0.542438 + 0.0714133i) q^{67} +(-9.28511 + 1.14697i) q^{68} +(-3.26054 - 1.35056i) q^{69} +(-1.43418 + 0.474624i) q^{70} +(-1.15761 + 1.15761i) q^{71} +(-2.81995 - 0.218817i) q^{72} +(-3.75469 + 1.00607i) q^{73} +(-0.0674847 + 0.196223i) q^{74} +(-0.631354 - 4.79561i) q^{75} +(-8.76329 - 0.0700544i) q^{76} +(12.2546 + 3.33172i) q^{77} +(-9.13994 - 1.85606i) q^{78} +(-6.24600 - 10.8184i) q^{79} +(-1.59759 - 0.236368i) q^{80} +(0.866025 + 0.500000i) q^{81} +(-5.23662 + 1.75428i) q^{82} +(-1.36714 - 3.30057i) q^{83} +(-2.08180 + 4.86478i) q^{84} +(1.74489 + 0.722756i) q^{85} +(-8.07474 - 9.28205i) q^{86} +(-2.19840 - 8.20456i) q^{87} +(10.0991 + 9.07320i) q^{88} +(2.02177 + 0.541731i) q^{89} +(0.473481 + 0.319115i) q^{90} +(-8.77937 + 15.0786i) q^{91} +(-6.54246 + 2.64890i) q^{92} +(-2.25677 - 1.73168i) q^{93} +(-0.411427 - 6.68657i) q^{94} +(1.53210 + 0.884560i) q^{95} +(-4.32673 + 3.64409i) q^{96} -10.5486i q^{97} +(7.36850 + 6.61099i) q^{98} +(-1.83685 - 4.43456i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 512 q+O(q^{10}) \) 512 * q	\( 512 q + 64 q^{14} + 8 q^{16} - 8 q^{18} - 16 q^{22} - 16 q^{23} - 40 q^{28} + 48 q^{35} + 32 q^{43} + 8 q^{44} + 48 q^{50} - 72 q^{52} + 32 q^{53} + 32 q^{58} - 192 q^{59} - 48 q^{60} + 144 q^{64} - 144 q^{66} - 16 q^{67} - 72 q^{70} + 128 q^{71} + 32 q^{74} + 48 q^{78} - 72 q^{80} - 120 q^{82} + 88 q^{88} - 48 q^{91} + 128 q^{92} - 72 q^{94} - 120 q^{96} - 136 q^{98}+O(q^{100}) \) 512 * q + 64 * q^14 + 8 * q^16 - 8 * q^18 - 16 * q^22 - 16 * q^23 - 40 * q^28 + 48 * q^35 + 32 * q^43 + 8 * q^44 + 48 * q^50 - 72 * q^52 + 32 * q^53 + 32 * q^58 - 192 * q^59 - 48 * q^60 + 144 * q^64 - 144 * q^66 - 16 * q^67 - 72 * q^70 + 128 * q^71 + 32 * q^74 + 48 * q^78 - 72 * q^80 - 120 * q^82 + 88 * q^88 - 48 * q^91 + 128 * q^92 - 72 * q^94 - 120 * q^96 - 136 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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