LMFDB - Embedded newform 165.2.p.a.116.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(41,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 3]))

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

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

chi := DirichletCharacter("165.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.p (of order $10$, degree $4$, 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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - x^{14} + 15x^{12} - 59x^{10} + 104x^{8} - 59x^{6} + 15x^{4} - x^{2} + 1 $ x^16 - x^14 + 15x^12 - 59x^10 + 104x^8 - 59x^6 + 15*x^4 - x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			116.2
Root			$-0.701538 + 0.227943i$ of defining polynomial
Character	$\chi$	$=$	165.116
Dual form			165.2.p.a.101.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.433574 - 1.33440i) q^{2} +(1.45106 - 0.945746i) q^{3} +(0.0253869 - 0.0184446i) q^{4} +(-0.951057 - 0.309017i) q^{5} +(-1.89115 - 1.52624i) q^{6} +(0.608337 + 0.837304i) q^{7} +(-2.30584 - 1.67529i) q^{8} +(1.21113 - 2.74466i) q^{9} +O(q^{10})$	\(q+(-0.433574 - 1.33440i) q^{2} +(1.45106 - 0.945746i) q^{3} +(0.0253869 - 0.0184446i) q^{4} +(-0.951057 - 0.309017i) q^{5} +(-1.89115 - 1.52624i) q^{6} +(0.608337 + 0.837304i) q^{7} +(-2.30584 - 1.67529i) q^{8} +(1.21113 - 2.74466i) q^{9} +1.40308i q^{10} +(2.69240 + 1.93675i) q^{11} +(0.0193938 - 0.0507737i) q^{12} +(-2.45244 + 0.796845i) q^{13} +(0.853543 - 1.17480i) q^{14} +(-1.67229 + 0.451057i) q^{15} +(-1.21637 + 3.74360i) q^{16} +(-1.62759 + 5.00920i) q^{17} +(-4.18760 - 0.426123i) q^{18} +(2.38796 - 3.28674i) q^{19} +(-0.0298440 + 0.00969692i) q^{20} +(1.67461 + 0.639643i) q^{21} +(1.41705 - 4.43247i) q^{22} -2.87350i q^{23} +(-4.93031 - 0.250204i) q^{24} +(0.809017 + 0.587785i) q^{25} +(2.12663 + 2.92705i) q^{26} +(-0.838333 - 5.12808i) q^{27} +(0.0308875 + 0.0100360i) q^{28} +(-2.92347 + 2.12403i) q^{29} +(1.32695 + 2.03594i) q^{30} +(2.52168 + 7.76094i) q^{31} -0.177495 q^{32} +(5.73849 + 0.264007i) q^{33} +7.38998 q^{34} +(-0.319822 - 0.984310i) q^{35} +(-0.0198775 - 0.0920172i) q^{36} +(3.99351 - 2.90146i) q^{37} +(-5.42120 - 1.76145i) q^{38} +(-2.80501 + 3.47565i) q^{39} +(1.67529 + 2.30584i) q^{40} +(7.89671 + 5.73729i) q^{41} +(0.127476 - 2.51194i) q^{42} +3.94483i q^{43} +(0.104074 - 0.000492348i) q^{44} +(-2.00000 + 2.23607i) q^{45} +(-3.83440 + 1.24587i) q^{46} +(0.307359 - 0.423043i) q^{47} +(1.77547 + 6.58255i) q^{48} +(1.83211 - 5.63867i) q^{49} +(0.433574 - 1.33440i) q^{50} +(2.37571 + 8.80792i) q^{51} +(-0.0475622 + 0.0654637i) q^{52} +(2.90146 - 0.942741i) q^{53} +(-6.47945 + 3.34208i) q^{54} +(-1.96213 - 2.67395i) q^{55} -2.94983i q^{56} +(0.356640 - 7.02765i) q^{57} +(4.10185 + 2.98017i) q^{58} +(4.24185 + 5.83841i) q^{59} +(-0.0341346 + 0.0422956i) q^{60} +(-11.3730 - 3.69531i) q^{61} +(9.26289 - 6.72989i) q^{62} +(3.03489 - 0.655595i) q^{63} +(2.50970 + 7.72405i) q^{64} +2.57865 q^{65} +(-2.13577 - 7.77193i) q^{66} -9.87350 q^{67} +(0.0510735 + 0.157188i) q^{68} +(-2.71760 - 4.16960i) q^{69} +(-1.17480 + 0.853543i) q^{70} +(-13.5270 - 4.39518i) q^{71} +(-7.39079 + 4.29976i) q^{72} +(-4.80531 - 6.61395i) q^{73} +(-5.60320 - 4.07096i) q^{74} +(1.72982 + 0.0877853i) q^{75} -0.127485i q^{76} +(0.0162385 + 3.43255i) q^{77} +(5.85410 + 2.23607i) q^{78} +(-5.06448 + 1.64555i) q^{79} +(2.31367 - 3.18450i) q^{80} +(-6.06633 - 6.64828i) q^{81} +(4.23206 - 13.0249i) q^{82} +(1.03276 - 3.17850i) q^{83} +(0.0543110 - 0.0146490i) q^{84} +(3.09586 - 4.26108i) q^{85} +(5.26400 - 1.71038i) q^{86} +(-2.23333 + 5.84694i) q^{87} +(-2.96363 - 8.97639i) q^{88} -11.7266i q^{89} +(3.85097 + 1.69931i) q^{90} +(-2.15911 - 1.56869i) q^{91} +(-0.0530006 - 0.0729490i) q^{92} +(10.9990 + 8.87669i) q^{93} +(-0.697773 - 0.226720i) q^{94} +(-3.28674 + 2.38796i) q^{95} +(-0.257555 + 0.167865i) q^{96} +(4.07170 + 12.5314i) q^{97} -8.31862 q^{98} +(8.57656 - 5.04407i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9}+O(q^{10}) $ 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9	$ 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9} + 4 q^{12} - 12 q^{15} - 16 q^{16} + 20 q^{18} + 40 q^{19} + 30 q^{22} - 70 q^{24} + 4 q^{25} - 4 q^{27} - 110 q^{28} - 10 q^{30} + 10 q^{31} + 12 q^{33} + 100 q^{34} + 40 q^{36} - 2 q^{37} - 10 q^{39} + 50 q^{40} - 10 q^{42} - 32 q^{45} - 40 q^{46} + 22 q^{48} + 42 q^{49} - 40 q^{52} + 6 q^{55} + 40 q^{57} - 20 q^{58} + 14 q^{60} - 50 q^{61} + 70 q^{63} + 42 q^{64} + 30 q^{66} - 108 q^{67} - 12 q^{69} + 40 q^{70} - 40 q^{72} - 50 q^{73} + 12 q^{75} + 40 q^{78} - 40 q^{79} - 4 q^{81} + 50 q^{82} - 150 q^{84} - 20 q^{85} + 70 q^{88} - 20 q^{90} + 10 q^{91} - 50 q^{94} + 40 q^{96} - 58 q^{97} + 12 q^{99}+O(q^{100}) $ 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9 + 4 * q^12 - 12 * q^15 - 16 * q^16 + 20 * q^18 + 40 * q^19 + 30 * q^22 - 70 * q^24 + 4 * q^25 - 4 * q^27 - 110 * q^28 - 10 * q^30 + 10 * q^31 + 12 * q^33 + 100 * q^34 + 40 * q^36 - 2 * q^37 - 10 * q^39 + 50 * q^40 - 10 * q^42 - 32 * q^45 - 40 * q^46 + 22 * q^48 + 42 * q^49 - 40 * q^52 + 6 * q^55 + 40 * q^57 - 20 * q^58 + 14 * q^60 - 50 * q^61 + 70 * q^63 + 42 * q^64 + 30 * q^66 - 108 * q^67 - 12 * q^69 + 40 * q^70 - 40 * q^72 - 50 * q^73 + 12 * q^75 + 40 * q^78 - 40 * q^79 - 4 * q^81 + 50 * q^82 - 150 * q^84 - 20 * q^85 + 70 * q^88 - 20 * q^90 + 10 * q^91 - 50 * q^94 + 40 * q^96 - 58 * q^97 + 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{9}{10}\right)$	$-1$	$1$

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 $

$2$	−0.433574	−	1.33440i	−0.306583	−	0.943566i	−0.979082	−	0.203468i	$-0.934779\pi$
$2$	−0.433574	−	1.33440i	−0.306583	−	0.943566i	0.672499	−	0.740098i	$-0.265221\pi$
$3$	1.45106	−	0.945746i	0.837768	−	0.546027i
$3$	1.45106	−	0.945746i	0.837768	−	0.546027i
$4$	0.0253869	−	0.0184446i	0.0126934	−	0.00922231i
$5$	−0.951057	−	0.309017i	−0.425325	−	0.138197i
$5$	−0.951057	−	0.309017i	−0.425325	−	0.138197i
$6$	−1.89115	−	1.52624i	−0.772058	−	0.623087i
$7$	0.608337	+	0.837304i	0.229930	+	0.316471i	0.908356	−	0.418197i	$-0.137338\pi$
$7$	0.608337	+	0.837304i	0.229930	+	0.316471i	−0.678427	+	0.734668i	$0.737338\pi$
$8$	−2.30584	−	1.67529i	−0.815239	−	0.592306i
$9$	1.21113	−	2.74466i	0.403710	−	0.914887i
$10$			1.40308i			0.443691i
$11$	2.69240	+	1.93675i	0.811789	+	0.583951i
$11$	2.69240	+	1.93675i	0.811789	+	0.583951i
$12$	0.0193938	−	0.0507737i	0.00559852	−	0.0146571i
$13$	−2.45244	+	0.796845i	−0.680184	+	0.221005i	−0.628676	−	0.777667i	$-0.716403\pi$
$13$	−2.45244	+	0.796845i	−0.680184	+	0.221005i	−0.0515080	+	0.998673i	$0.516403\pi$
$14$	0.853543	−	1.17480i	0.228119	−	0.313979i
$15$	−1.67229	+	0.451057i	−0.431783	+	0.116462i
$16$	−1.21637	+	3.74360i	−0.304092	+	0.935900i
$17$	−1.62759	+	5.00920i	−0.394748	+	1.21491i	0.534409	+	0.845226i	$0.320534\pi$
$17$	−1.62759	+	5.00920i	−0.394748	+	1.21491i	−0.929157	+	0.369685i	$0.879466\pi$
$18$	−4.18760	−	0.426123i	−0.987027	−	0.100438i
$19$	2.38796	−	3.28674i	0.547835	−	0.754031i	−0.441881	−	0.897074i	$-0.645689\pi$
$19$	2.38796	−	3.28674i	0.547835	−	0.754031i	0.989716	+	0.143043i	$0.0456887\pi$
$20$	−0.0298440	+	0.00969692i	−0.00667333	+	0.00216830i
$21$	1.67461	+	0.639643i	0.365429	+	0.139582i
$22$	1.41705	−	4.43247i	0.302116	−	0.945006i
$23$		−	2.87350i		−	0.599165i	−0.954070	−	0.299583i	$-0.903153\pi$
$23$		−	2.87350i		−	0.599165i	0.954070	−	0.299583i	$-0.0968474\pi$
$24$	−4.93031	−	0.250204i	−1.00640	−	0.0510726i
$25$	0.809017	+	0.587785i	0.161803	+	0.117557i
$26$	2.12663	+	2.92705i	0.417066	+	0.574042i
$27$	−0.838333	−	5.12808i	−0.161337	−	0.986899i
$28$	0.0308875	+	0.0100360i	0.00583719	+	0.00189662i
$29$	−2.92347	+	2.12403i	−0.542875	+	0.394422i	−0.825152	−	0.564911i	$-0.808910\pi$
$29$	−2.92347	+	2.12403i	−0.542875	+	0.394422i	0.282277	+	0.959333i	$0.408910\pi$
$30$	1.32695	+	2.03594i	0.242267	+	0.371710i
$31$	2.52168	+	7.76094i	0.452908	+	1.39391i	0.873574	+	0.486691i	$0.161796\pi$
$31$	2.52168	+	7.76094i	0.452908	+	1.39391i	−0.420667	+	0.907215i	$0.638204\pi$
$32$	−0.177495			−0.0313770
$33$	5.73849	+	0.264007i	0.998943	+	0.0459577i
$34$	7.38998			1.26737
$35$	−0.319822	−	0.984310i	−0.0540597	−	0.166379i
$36$	−0.0198775	−	0.0920172i	−0.00331291	−	0.0153362i
$37$	3.99351	−	2.90146i	0.656530	−	0.476997i	−0.208959	−	0.977924i	$-0.567008\pi$
$37$	3.99351	−	2.90146i	0.656530	−	0.476997i	0.865489	+	0.500928i	$0.167008\pi$
$38$	−5.42120	−	1.76145i	−0.879435	−	0.285746i
$39$	−2.80501	+	3.47565i	−0.449162	+	0.556549i
$40$	1.67529	+	2.30584i	0.264887	+	0.364586i
$41$	7.89671	+	5.73729i	1.23326	+	0.896015i	0.997130	−	0.0757069i	$-0.0241213\pi$
$41$	7.89671	+	5.73729i	1.23326	+	0.896015i	0.236129	+	0.971722i	$0.424121\pi$
$42$	0.127476	−	2.51194i	0.0196700	−	0.387600i
$43$			3.94483i			0.601581i	0.953690	+	0.300791i	$0.0972505\pi$
$43$			3.94483i			0.601581i	−0.953690	+	0.300791i	$0.902749\pi$
$44$	0.104074		0.000492348i	0.0156898		7.42243e-5i
$45$	−2.00000	+	2.23607i	−0.298142	+	0.333333i
$46$	−3.83440	+	1.24587i	−0.565352	+	0.183694i
$47$	0.307359	−	0.423043i	0.0448329	−	0.0617071i	−0.786012	−	0.618211i	$-0.787858\pi$
$47$	0.307359	−	0.423043i	0.0448329	−	0.0617071i	0.830845	+	0.556504i	$0.187858\pi$
$48$	1.77547	+	6.58255i	0.256268	+	0.950110i
$49$	1.83211	−	5.63867i	0.261731	−	0.805524i
$50$	0.433574	−	1.33440i	0.0613166	−	0.188713i
$51$	2.37571	+	8.80792i	0.332666	+	1.23336i
$52$	−0.0475622	+	0.0654637i	−0.00659569	+	0.00907818i
$53$	2.90146	−	0.942741i	0.398546	−	0.129495i	−0.102885	−	0.994693i	$-0.532807\pi$
$53$	2.90146	−	0.942741i	0.398546	−	0.129495i	0.501431	+	0.865198i	$0.332807\pi$
$54$	−6.47945	+	3.34208i	−0.881741	+	0.454799i
$55$	−1.96213	−	2.67395i	−0.264574	−	0.360556i
$56$		−	2.94983i		−	0.394188i
$57$	0.356640	−	7.02765i	0.0472381	−	0.930835i
$58$	4.10185	+	2.98017i	0.538600	+	0.391315i
$59$	4.24185	+	5.83841i	0.552242	+	0.760097i	0.990314	−	0.138843i	$-0.0443385\pi$
$59$	4.24185	+	5.83841i	0.552242	+	0.760097i	−0.438072	+	0.898940i	$0.644338\pi$
$60$	−0.0341346	+	0.0422956i	−0.00440675	+	0.00546034i
$61$	−11.3730	−	3.69531i	−1.45616	−	0.473136i	−0.529268	−	0.848455i	$-0.677533\pi$
$61$	−11.3730	−	3.69531i	−1.45616	−	0.473136i	−0.926896	+	0.375318i	$0.877533\pi$
$62$	9.26289	−	6.72989i	1.17639	−	0.854696i
$63$	3.03489	−	0.655595i	0.382360	−	0.0825972i
$64$	2.50970	+	7.72405i	0.313712	+	0.965507i
$65$	2.57865			0.319842
$66$	−2.13577	−	7.77193i	−0.262895	−	0.956659i
$67$	−9.87350			−1.20624			−0.603120	−	0.797651i	$-0.706076\pi$
$67$	−9.87350			−1.20624			−0.603120	+	0.797651i	$0.706076\pi$
$68$	0.0510735	+	0.157188i	0.00619358	+	0.0190619i
$69$	−2.71760	−	4.16960i	−0.327160	−	0.501961i
$70$	−1.17480	+	0.853543i	−0.140416	+	0.102018i
$71$	−13.5270	−	4.39518i	−1.60536	−	0.521612i	−0.636932	−	0.770920i	$-0.719797\pi$
$71$	−13.5270	−	4.39518i	−1.60536	−	0.521612i	−0.968424	+	0.249308i	$0.919797\pi$
$72$	−7.39079	+	4.29976i	−0.871013	+	0.506732i
$73$	−4.80531	−	6.61395i	−0.562419	−	0.774104i	0.429212	−	0.903204i	$-0.358791\pi$
$73$	−4.80531	−	6.61395i	−0.562419	−	0.774104i	−0.991632	+	0.129100i	$0.958791\pi$
$74$	−5.60320	−	4.07096i	−0.651359	−	0.473240i
$75$	1.72982	+	0.0877853i	0.199743	+	0.0101366i
$76$		−	0.127485i		−	0.0146235i
$77$	0.0162385	+	3.43255i	0.00185055	+	0.391176i
$78$	5.85410	+	2.23607i	0.662847	+	0.253185i
$79$	−5.06448	+	1.64555i	−0.569798	+	0.185139i	−0.579725	−	0.814812i	$-0.696840\pi$
$79$	−5.06448	+	1.64555i	−0.569798	+	0.185139i	0.00992689	+	0.999951i	$0.496840\pi$
$80$	2.31367	−	3.18450i	0.258677	−	0.356038i
$81$	−6.06633	−	6.64828i	−0.674036	−	0.738698i
$82$	4.23206	−	13.0249i	0.467353	−	1.43836i
$83$	1.03276	−	3.17850i	0.113360	−	0.348886i	−0.878241	−	0.478217i	$-0.841283\pi$
$83$	1.03276	−	3.17850i	0.113360	−	0.348886i	0.991601	+	0.129331i	$0.0412831\pi$
$84$	0.0543110	−	0.0146490i	0.00592582	−	0.00159834i
$85$	3.09586	−	4.26108i	0.335793	−	0.462179i
$86$	5.26400	−	1.71038i	0.567632	−	0.184435i
$87$	−2.23333	+	5.84694i	−0.239439	+	0.626858i
$88$	−2.96363	−	8.97639i	−0.315924	−	0.956887i
$89$		−	11.7266i		−	1.24302i	−0.783407	−	0.621509i	$-0.786520\pi$
$89$		−	11.7266i		−	1.24302i	0.783407	−	0.621509i	$-0.213480\pi$
$90$	3.85097	+	1.69931i	0.405927	+	0.179123i
$91$	−2.15911	−	1.56869i	−0.226336	−	0.164443i
$92$	−0.0530006	−	0.0729490i	−0.00552569	−	0.00760546i
$93$	10.9990	+	8.87669i	1.14054	+	0.920470i
$94$	−0.697773	−	0.226720i	−0.0719698	−	0.0233844i
$95$	−3.28674	+	2.38796i	−0.337213	+	0.244999i
$96$	−0.257555	+	0.167865i	−0.0262866	+	0.0171327i
$97$	4.07170	+	12.5314i	0.413418	+	1.27237i	0.913658	+	0.406484i	$0.133245\pi$
$97$	4.07170	+	12.5314i	0.413418	+	1.27237i	−0.500240	+	0.865887i	$0.666755\pi$
$98$	−8.31862			−0.840307
$99$	8.57656	−	5.04407i	0.861977	−	0.506948i
$100$	0.0313799			0.00313799
$101$	3.06522	+	9.43378i	0.305001	+	0.938696i	0.979677	+	0.200582i	$0.0642833\pi$
$101$	3.06522	+	9.43378i	0.305001	+	0.938696i	−0.674676	+	0.738114i	$0.735717\pi$
$102$	10.7233	−	6.98904i	1.06176	−	0.692019i
$103$	−13.8665	+	10.0746i	−1.36631	+	0.992681i	−0.368293	+	0.929710i	$0.620058\pi$
$103$	−13.8665	+	10.0746i	−1.36631	+	0.992681i	−0.998015	+	0.0629717i	$0.979942\pi$
$104$	6.98989	+	2.27115i	0.685415	+	0.222705i
$105$	−1.39499	−	1.12582i	−0.136137	−	0.109869i
$106$	−2.51599	−	3.46297i	−0.244375	−	0.336353i
$107$	−12.4389	−	9.03737i	−1.20251	−	0.873676i	−0.207982	−	0.978133i	$-0.566690\pi$
$107$	−12.4389	−	9.03737i	−1.20251	−	0.873676i	−0.994529	+	0.104457i	$0.966690\pi$
$108$	−0.115868	−	0.114723i	−0.0111494	−	0.0110392i
$109$		−	6.86068i		−	0.657134i	−0.944481	−	0.328567i	$-0.893434\pi$
$109$		−	6.86068i		−	0.657134i	0.944481	−	0.328567i	$-0.106566\pi$
$110$	−2.71740	+	3.77764i	−0.259094	+	0.360184i
$111$	3.05077	−	7.98703i	0.289567	−	0.758095i
$112$	−3.87450	+	1.25890i	−0.366105	+	0.118955i
$113$	1.38164	−	1.90166i	0.129974	−	0.178894i	−0.739070	−	0.673628i	$-0.764735\pi$
$113$	1.38164	−	1.90166i	0.129974	−	0.178894i	0.869044	+	0.494735i	$0.164735\pi$
$114$	−9.53236	+	2.57111i	−0.892787	+	0.240806i
$115$	−0.887959	+	2.73286i	−0.0828026	+	0.254840i
$116$	−0.0350409	+	0.107845i	−0.00325346	+	0.0100131i
$117$	−0.783151	+	7.69619i	−0.0724023	+	0.711513i
$118$	5.95164	−	8.19173i	0.547893	−	0.754110i
$119$	−5.18435	+	1.68450i	−0.475249	+	0.154418i
$120$	4.61169	+	1.76151i	0.420987	+	0.160803i
$121$	3.49802	+	10.4290i	0.318001	+	0.948090i
$122$			16.7784i			1.51904i
$123$	16.8846	+	0.856860i	1.52243	+	0.0772605i
$124$	0.207165	+	0.150514i	0.0186040	+	0.0135166i
$125$	−0.587785	−	0.809017i	−0.0525731	−	0.0723607i
$126$	−2.19068	−	3.76552i	−0.195161	−	0.335459i
$127$	−6.65385	−	2.16197i	−0.590434	−	0.191844i	−0.00146448	−	0.999999i	$-0.500466\pi$
$127$	−6.65385	−	2.16197i	−0.590434	−	0.191844i	−0.588969	+	0.808155i	$0.700466\pi$
$128$	8.93167	−	6.48924i	0.789456	−	0.573573i
$129$	3.73081	+	5.72417i	0.328479	+	0.503985i
$130$	−1.11803	−	3.44095i	−0.0980581	−	0.301792i
$131$	4.67294			0.408277			0.204138	−	0.978942i	$-0.434561\pi$
$131$	4.67294			0.408277			0.204138	+	0.978942i	$0.434561\pi$
$132$	0.150552	−	0.0991421i	0.0131039	−	0.00862921i
$133$	4.20469			0.364593
$134$	4.28089	+	13.1752i	0.369813	+	1.13817i
$135$	−0.787361	+	5.13615i	−0.0677653	+	0.442050i
$136$	12.1449	−	8.82375i	1.04141	−	0.756630i
$137$	7.58472	+	2.46442i	0.648006	+	0.210550i	0.614535	−	0.788890i	$-0.289344\pi$
$137$	7.58472	+	2.46442i	0.648006	+	0.210550i	0.0334713	+	0.999440i	$0.489344\pi$
$138$	−4.38566	+	5.43420i	−0.373332	+	0.462590i
$139$	−5.39346	−	7.42346i	−0.457467	−	0.629650i	0.516514	−	0.856279i	$-0.327229\pi$
$139$	−5.39346	−	7.42346i	−0.457467	−	0.629650i	−0.973981	+	0.226629i	$0.927229\pi$
$140$	−0.0262745	−	0.0190895i	−0.00222060	−	0.00161336i
$141$	0.0459038	−	0.904542i	0.00386579	−	0.0761762i
$142$			19.9561i			1.67468i
$143$	−8.14623	−	2.60433i	−0.681222	−	0.217785i
$144$	8.80173	+	7.87251i	0.733478	+	0.656043i
$145$	3.43675	−	1.11667i	0.285406	−	0.0927342i
$146$	−6.74222	+	9.27986i	−0.557990	+	0.768007i
$147$	−2.67425	−	9.91474i	−0.220568	−	0.817754i
$148$	0.0478665	−	0.147318i	0.00393460	−	0.0121094i
$149$	0.220160	−	0.677582i	0.0180362	−	0.0555097i	−0.941633	−	0.336640i	$-0.890709\pi$
$149$	0.220160	−	0.677582i	0.0180362	−	0.0555097i	0.959670	+	0.281131i	$0.0907094\pi$
$150$	−0.632866	−	2.34635i	−0.0516733	−	0.191578i
$151$	7.98584	−	10.9916i	0.649879	−	0.894481i	−0.349215	−	0.937043i	$-0.613552\pi$
$151$	7.98584	−	10.9916i	0.649879	−	0.894481i	0.999094	+	0.0425614i	$0.0135518\pi$
$152$	−11.0125	+	3.57818i	−0.893233	+	0.290229i
$153$	11.7773	+	10.5340i	0.952142	+	0.851622i
$154$	4.57337	−	1.50993i	0.368533	−	0.121674i
$155$		−	8.16034i		−	0.655454i
$156$	−0.00710337	+	0.139973i	−0.000568725	+	0.0112068i
$157$	−0.825199	−	0.599542i	−0.0658581	−	0.0478487i	0.554369	−	0.832271i	$-0.312960\pi$
$157$	−0.825199	−	0.599542i	−0.0658581	−	0.0478487i	−0.620227	+	0.784422i	$0.712960\pi$
$158$	4.39165	+	6.04459i	0.349381	+	0.480882i
$159$	3.31859	−	4.11201i	0.263181	−	0.326104i
$160$	0.168808	+	0.0548489i	0.0133454	+	0.00433619i
$161$	2.40599	−	1.74805i	0.189619	−	0.137766i
$162$	−6.24129	+	10.9775i	−0.490362	+	0.862470i
$163$	0.152195	+	0.468409i	0.0119209	+	0.0366886i	0.956840	−	0.290615i	$-0.0938599\pi$
$163$	0.152195	+	0.468409i	0.0119209	+	0.0366886i	−0.944919	+	0.327304i	$0.893860\pi$
$164$	0.306295			0.0239176
$165$	−5.37605	−	2.02438i	−0.418525	−	0.157598i
$166$	−4.68919			−0.363951
$167$	2.52265	+	7.76393i	0.195209	+	0.600791i	0.999974	+	0.00719787i	$0.00229117\pi$
$167$	2.52265	+	7.76393i	0.195209	+	0.600791i	−0.804765	+	0.593593i	$0.797709\pi$
$168$	−2.78979	−	4.28038i	−0.215237	−	0.330238i
$169$	−5.13773	+	3.73278i	−0.395210	+	0.287137i
$170$	−7.02829	−	2.28363i	−0.539045	−	0.175146i
$171$	−6.12887	−	10.5348i	−0.468686	−	0.805617i
$172$	0.0727610	+	0.100147i	0.00554797	+	0.00763613i
$173$	−10.5244	−	7.64644i	−0.800157	−	0.581348i	0.110803	−	0.993842i	$-0.464658\pi$
$173$	−10.5244	−	7.64644i	−0.800157	−	0.581348i	−0.910960	+	0.412494i	$0.864658\pi$
$174$	8.77050	+	0.445086i	0.664890	+	0.0337419i
$175$			1.03496i			0.0782360i
$176$	−10.5254	+	7.72346i	−0.793379	+	0.582178i
$177$	11.6768	+	4.46015i	0.877684	+	0.335245i
$178$	−15.6480	+	5.08436i	−1.17287	+	0.381089i
$179$	−8.54775	+	11.7650i	−0.638889	+	0.879355i	−0.998556	−	0.0537256i	$-0.982890\pi$
$179$	−8.54775	+	11.7650i	−0.638889	+	0.879355i	0.359667	+	0.933081i	$0.382890\pi$
$180$	−0.00953026	+	0.0936560i	−0.000710344	+	0.00698071i
$181$	7.22359	−	22.2319i	0.536925	−	1.65249i	−0.202527	−	0.979277i	$-0.564915\pi$
$181$	7.22359	−	22.2319i	0.536925	−	1.65249i	0.739452	−	0.673209i	$-0.235085\pi$
$182$	−1.15713	+	3.56127i	−0.0857719	+	0.263979i
$183$	−19.9977	+	5.39386i	−1.47827	+	0.398726i
$184$	−4.81395	+	6.62583i	−0.354889	+	0.488463i
$185$	−4.69466	+	1.52539i	−0.345158	+	0.112149i
$186$	7.07622	−	18.5258i	0.518854	−	1.35838i
$187$	−14.0837	+	10.3345i	−1.02990	+	0.755737i
$188$		−	0.0164088i		−	0.00119674i
$189$	3.78377	−	3.82154i	0.275229	−	0.277976i
$190$	4.61155	+	3.35049i	0.334557	+	0.243070i
$191$	−2.55192	−	3.51242i	−0.184650	−	0.254150i	0.706649	−	0.707564i	$-0.250206\pi$
$191$	−2.55192	−	3.51242i	−0.184650	−	0.254150i	−0.891300	+	0.453414i	$0.850206\pi$
$192$	10.9467	+	8.83450i	0.790010	+	0.637575i
$193$	20.6731	+	6.71708i	1.48808	+	0.483506i	0.936515	−	0.350626i	$-0.114031\pi$
$193$	20.6731	+	6.71708i	1.48808	+	0.483506i	0.551564	+	0.834133i	$0.314031\pi$
$194$	14.9566	−	10.8666i	1.07382	−	0.780175i
$195$	3.74176	−	2.43874i	0.267953	−	0.174642i
$196$	−0.0574915	−	0.176941i	−0.00410654	−	0.0126386i
$197$	21.7941			1.55276			0.776382	−	0.630262i	$-0.217053\pi$
$197$	21.7941			1.55276			0.776382	+	0.630262i	$0.217053\pi$
$198$	−10.4494	−	9.25762i	−0.742606	−	0.657910i
$199$	−9.54230			−0.676436			−0.338218	−	0.941068i	$-0.609824\pi$
$199$	−9.54230			−0.676436			−0.338218	+	0.941068i	$0.609824\pi$
$200$	−0.880754	−	2.71068i	−0.0622787	−	0.191674i
$201$	−14.3270	+	9.33782i	−1.01055	+	0.658639i
$202$	11.2595	−	8.18048i	0.792214	−	0.575577i
$203$	−3.55691	−	1.15571i	−0.249646	−	0.0811150i
$204$	0.222771	+	0.179786i	0.0155971	+	0.0125876i
$205$	−5.73729	−	7.89671i	−0.400710	−	0.551530i
$206$	19.4558	+	14.1354i	1.35555	+	0.984863i
$207$	−7.88677	−	3.48018i	−0.548169	−	0.241889i
$208$		−	10.1502i		−	0.703790i
$209$	12.7949	−	4.22435i	0.885044	−	0.292204i
$210$	−0.897468	+	2.34960i	−0.0619312	+	0.162138i
$211$	8.27917	−	2.69006i	0.569961	−	0.185192i	−0.00983704	−	0.999952i	$-0.503131\pi$
$211$	8.27917	−	2.69006i	0.569961	−	0.185192i	0.579798	+	0.814760i	$0.303131\pi$
$212$	0.0562704	−	0.0774495i	0.00386467	−	0.00531926i
$213$	−23.7851	+	6.41542i	−1.62973	+	0.439577i
$214$	−6.66633	+	20.5169i	−0.455701	+	1.40250i
$215$	1.21902	−	3.75176i	0.0831365	−	0.255868i
$216$	−6.65797	+	13.2290i	−0.453018	+	0.900119i
$217$	−4.96424	+	6.83268i	−0.336994	+	0.463833i
$218$	−9.15492	+	2.97461i	−0.620049	+	0.201466i
$219$	−13.2279	−	5.05261i	−0.893858	−	0.341423i
$220$	−0.0991325	−	0.0316924i	−0.00668351	−	0.00213670i
$221$		−	13.5817i		−	0.913604i
$222$	−11.9807	−	0.607995i	−0.804089	−	0.0408060i
$223$	17.6456	+	12.8203i	1.18164	+	0.858512i	0.992356	−	0.123411i	$-0.0393832\pi$
$223$	17.6456	+	12.8203i	1.18164	+	0.858512i	0.189284	+	0.981922i	$0.439383\pi$
$224$	−0.107977	−	0.148617i	−0.00721450	−	0.00992991i
$225$	2.59310	−	1.50859i	0.172873	−	0.100573i
$226$	−3.13663	−	1.01915i	−0.208646	−	0.0677931i
$227$	17.9476	−	13.0397i	1.19122	−	0.865473i	0.197828	−	0.980237i	$-0.436611\pi$
$227$	17.9476	−	13.0397i	1.19122	−	0.865473i	0.993393	+	0.114764i	$0.0366112\pi$
$228$	−0.120568	−	0.184988i	−0.00798484	−	0.0122511i
$229$	4.76898	+	14.6774i	0.315143	+	0.969910i	0.975696	+	0.219131i	$0.0703221\pi$
$229$	4.76898	+	14.6774i	0.315143	+	0.969910i	−0.660553	+	0.750780i	$0.729678\pi$
$230$	4.03173			0.265844
$231$	3.26988	+	4.96547i	0.215143	+	0.326704i
$232$	10.2994			0.676191
$233$	−4.06215	−	12.5020i	−0.266121	−	0.819035i	−0.991433	−	0.130615i	$-0.958305\pi$
$233$	−4.06215	−	12.5020i	−0.266121	−	0.819035i	0.725313	−	0.688420i	$-0.241695\pi$
$234$	10.6094	−	2.29183i	0.693557	−	0.149822i
$235$	−0.423043	+	0.307359i	−0.0275963	+	0.0200499i
$236$	0.215375	+	0.0699795i	0.0140197	+	0.00455528i
$237$	−5.79257	+	7.17749i	−0.376268	+	0.466228i
$238$	4.49560	+	6.18766i	0.291406	+	0.401087i
$239$	−19.3191	−	14.0361i	−1.24965	−	0.907921i	−0.251445	−	0.967872i	$-0.580906\pi$
$239$	−19.3191	−	14.0361i	−1.24965	−	0.907921i	−0.998201	+	0.0599503i	$0.980906\pi$
$240$	0.345545	−	6.80903i	0.0223048	−	0.439521i
$241$		−	13.4660i		−	0.867424i	−0.901052	−	0.433712i	$-0.857203\pi$
$241$		−	13.4660i		−	0.867424i	0.901052	−	0.433712i	$-0.142797\pi$
$242$	12.3998	−	9.18951i	0.797092	−	0.590724i
$243$	−15.0902	−	3.90983i	−0.968035	−	0.250816i
$244$	−0.356883	+	0.115958i	−0.0228471	+	0.00742348i
$245$	−3.48489	+	4.79654i	−0.222641	+	0.306440i
$246$	−6.17732	−	22.9024i	−0.393852	−	1.46020i
$247$	−3.23729	+	9.96337i	−0.205984	+	0.633954i
$248$	7.18725	−	22.1201i	0.456391	−	1.40463i
$249$	−1.50747	−	5.58892i	−0.0955318	−	0.354183i
$250$	−0.824707	+	1.13511i	−0.0521590	+	0.0717908i
$251$	15.9729	−	5.18992i	1.00820	−	0.327585i	0.242064	−	0.970260i	$-0.422176\pi$
$251$	15.9729	−	5.18992i	1.00820	−	0.327585i	0.766139	+	0.642675i	$0.222176\pi$
$252$	0.0649541	−	0.0726209i	0.00409173	−	0.00457469i
$253$	5.56524	−	7.73659i	0.349883	−	0.486396i
$254$			9.81630i			0.615929i
$255$	0.462364	−	9.11097i	0.0289544	−	0.570551i
$256$	0.609134	+	0.442562i	0.0380709	+	0.0276601i
$257$	5.16393	+	7.10754i	0.322117	+	0.443356i	0.939112	−	0.343611i	$-0.111650\pi$
$257$	5.16393	+	7.10754i	0.322117	+	0.443356i	−0.616995	+	0.786967i	$0.711650\pi$
$258$	6.02078	−	7.46026i	0.374837	−	0.464455i
$259$	4.85881	+	1.57872i	0.301912	+	0.0980970i
$260$	0.0654637	−	0.0475622i	0.00405989	−	0.00294968i
$261$	2.28903	+	10.5964i	0.141687	+	0.655902i
$262$	−2.02607	−	6.23559i	−0.125171	−	0.385236i
$263$	1.53613			0.0947218			0.0473609	−	0.998878i	$-0.484919\pi$
$263$	1.53613			0.0947218			0.0473609	+	0.998878i	$0.484919\pi$
$264$	−12.7898	−	10.2224i	−0.787156	−	0.629146i
$265$	−3.05077			−0.187408
$266$	−1.82304	−	5.61075i	−0.111778	−	0.344017i
$267$	−11.0904	−	17.0160i	−0.678721	−	1.04136i
$268$	−0.250657	+	0.182113i	−0.0153113	+	0.0111243i
$269$	−7.72172	−	2.50894i	−0.470802	−	0.152973i	0.0640009	−	0.997950i	$-0.479614\pi$
$269$	−7.72172	−	2.50894i	−0.470802	−	0.152973i	−0.534802	+	0.844977i	$0.679614\pi$
$270$	7.19508	−	1.17624i	0.437879	−	0.0715840i
$271$	13.4724	+	18.5432i	0.818390	+	1.12642i	0.989974	+	0.141248i	$0.0451115\pi$
$271$	13.4724	+	18.5432i	0.818390	+	1.12642i	−0.171584	+	0.985169i	$0.554889\pi$
$272$	−16.7727	−	12.1861i	−1.01700	−	0.738890i
$273$	−4.61657	−	0.234282i	−0.279408	−	0.0141794i
$274$		−	11.1896i		−	0.675988i
$275$	1.03980	+	3.14941i	0.0627025	+	0.189917i
$276$	−0.145898	−	0.0557281i	−0.00878203	−	0.00335444i
$277$	22.6103	−	7.34652i	1.35852	−	0.441410i	0.462970	−	0.886374i	$-0.346784\pi$
$277$	22.6103	−	7.34652i	1.35852	−	0.441410i	0.895548	+	0.444964i	$0.146784\pi$
$278$	−7.56743	+	10.4157i	−0.453864	+	0.624691i
$279$	24.3552	+	2.47835i	1.45811	+	0.148375i
$280$	−0.911549	+	2.80546i	−0.0544755	+	0.167658i
$281$	4.63246	−	14.2573i	0.276350	−	0.850517i	−0.712510	−	0.701662i	$-0.752441\pi$
$281$	4.63246	−	14.2573i	0.276350	−	0.850517i	0.988859	−	0.148854i	$-0.0475585\pi$
$282$	−1.22693	+	0.330932i	−0.0730624	+	0.0197067i
$283$	−3.66015	+	5.03776i	−0.217573	+	0.299464i	−0.903827	−	0.427898i	$-0.859254\pi$
$283$	−3.66015	+	5.03776i	−0.217573	+	0.299464i	0.686253	+	0.727362i	$0.259254\pi$
$284$	−0.424475	+	0.137920i	−0.0251879	+	0.00818406i
$285$	−2.51085	+	6.57349i	−0.148730	+	0.389380i
$286$	0.0567667	+	11.9995i	0.00335669	+	0.709547i
$287$			10.1022i			0.596311i
$288$	−0.214969	+	0.487163i	−0.0126672	+	0.0287064i
$289$	−8.68979	−	6.31351i	−0.511164	−	0.371383i
$290$	−2.98017	−	4.10185i	−0.175002	−	0.240869i
$291$	17.7598	+	14.3330i	1.04110	+	0.840214i
$292$	−0.243984	−	0.0792751i	−0.0142781	−	0.00463922i
$293$	−0.247798	+	0.180036i	−0.0144765	+	0.0105178i	−0.595000	−	0.803726i	$-0.702848\pi$
$293$	−0.247798	+	0.180036i	−0.0144765	+	0.0105178i	0.580523	+	0.814244i	$0.302848\pi$
$294$	−12.0708	+	7.86730i	−0.703983	+	0.458830i
$295$	−2.23007	−	6.86346i	−0.129840	−	0.399606i
$296$	−14.0692			−0.817756
$297$	7.67467	−	15.4305i	0.445330	−	0.895367i
$298$	−0.999624			−0.0579067
$299$	2.28973	+	7.04707i	0.132419	+	0.407543i
$300$	0.0455340	−	0.0296774i	0.00262891	−	0.00171342i
$301$	−3.30302	+	2.39979i	−0.190383	+	0.138321i
$302$	−18.1296	−	5.89068i	−1.04324	−	0.338970i
$303$	13.3698	+	10.7900i	0.768073	+	0.619871i
$304$	9.39962	+	12.9375i	0.539105	+	0.742014i
$305$	9.67445	+	7.02890i	0.553958	+	0.402474i
$306$	8.95023	−	20.2830i	0.511651	−	1.15950i
$307$		−	16.4809i		−	0.940617i	−0.882502	−	0.470309i	$-0.844143\pi$
$307$		−	16.4809i		−	0.940617i	0.882502	−	0.470309i	$-0.155857\pi$
$308$	0.0637244	+	0.0868422i	0.00363103	+	0.00494829i
$309$	−10.5931	+	27.7330i	−0.602619	+	1.57768i
$310$	−10.8892	+	3.53811i	−0.618464	+	0.200951i
$311$	−12.2843	+	16.9079i	−0.696579	+	0.958759i	0.303403	+	0.952862i	$0.401877\pi$
$311$	−12.2843	+	16.9079i	−0.696579	+	0.958759i	−0.999983	+	0.00589681i	$0.998123\pi$
$312$	12.2907	−	3.31509i	0.695821	−	0.187680i
$313$	−4.73083	+	14.5600i	−0.267402	+	0.822980i	0.723728	+	0.690086i	$0.242427\pi$
$313$	−4.73083	+	14.5600i	−0.267402	+	0.822980i	−0.991130	+	0.132895i	$0.957573\pi$
$314$	−0.442247	+	1.36110i	−0.0249574	+	0.0768110i
$315$	−3.08894	−	0.314325i	−0.174042	−	0.0177102i
$316$	−0.0982196	+	0.135188i	−0.00552529	+	0.00760490i
$317$	−0.463118	+	0.150476i	−0.0260113	+	0.00845159i	−0.321994	−	0.946742i	$-0.604353\pi$
$317$	−0.463118	+	0.150476i	−0.0260113	+	0.00845159i	0.295982	+	0.955193i	$0.404353\pi$
$318$	−6.92594	−	2.64547i	−0.388387	−	0.148351i
$319$	−11.9849	+	0.0566973i	−0.671023	+	0.00317444i
$320$		−	8.12155i		−	0.454008i
$321$	−26.5966	−	1.34972i	−1.48448	−	0.0753343i
$322$	−3.37578	−	2.45265i	−0.188125	−	0.136681i
$323$	12.5774	+	17.3112i	0.699823	+	0.963223i
$324$	−0.276630	−	0.0568878i	−0.0153683	−	0.00316043i
$325$	−2.45244	−	0.796845i	−0.136037	−	0.0442010i
$326$	0.559059	−	0.406180i	0.0309634	−	0.0224962i
$327$	−6.48846	−	9.95523i	−0.358813	−	0.550526i
$328$	−8.59692	−	26.4586i	−0.474686	−	1.46093i
$329$	0.541193			0.0298369
$330$	−0.370421	+	8.05154i	−0.0203910	+	0.443223i
$331$	−14.0648			−0.773073			−0.386537	−	0.922274i	$-0.626329\pi$
$331$	−14.0648			−0.773073			−0.386537	+	0.922274i	$0.626329\pi$
$332$	−0.0324078	−	0.0997411i	−0.00177861	−	0.00547400i
$333$	−3.12685	−	14.4749i	−0.171351	−	0.793219i
$334$	9.26646	−	6.73248i	0.507038	−	0.368385i
$335$	9.39025	+	3.05108i	0.513044	+	0.166698i
$336$	−4.43151	+	5.49102i	−0.241759	+	0.299560i
$337$	0.453172	+	0.623738i	0.0246859	+	0.0339772i	0.821182	−	0.570667i	$-0.193315\pi$
$337$	0.453172	+	0.623738i	0.0246859	+	0.0339772i	−0.796496	+	0.604644i	$0.793315\pi$
$338$	7.20862	+	5.23737i	0.392097	+	0.284876i
$339$	0.206347	−	4.06610i	0.0112072	−	0.220840i
$340$		−	0.165277i		−	0.00896343i
$341$	−8.24161	+	25.7794i	−0.446308	+	1.39603i
$342$	−11.4004	+	12.7460i	−0.616462	+	0.689225i
$343$	12.7260	−	4.13493i	0.687139	−	0.223265i
$344$	6.60875	−	9.09616i	0.356320	−	0.490432i
$345$	1.29611	+	4.80531i	0.0697802	+	0.258709i
$346$	−5.64033	+	17.3591i	−0.303226	+	0.933233i
$347$	−2.78656	+	8.57616i	−0.149591	+	0.460392i	−0.997573	−	0.0696324i	$-0.977817\pi$
$347$	−2.78656	+	8.57616i	−0.149591	+	0.460392i	0.847982	+	0.530025i	$0.177817\pi$
$348$	0.0511474	+	0.189629i	0.00274179	+	0.0101652i
$349$	−3.99618	+	5.50027i	−0.213911	+	0.294423i	−0.902466	−	0.430761i	$-0.858245\pi$
$349$	−3.99618	+	5.50027i	−0.213911	+	0.294423i	0.688555	+	0.725184i	$0.258245\pi$
$350$	1.38106	−	0.448734i	0.0738208	−	0.0239858i
$351$	6.14225	+	11.9083i	0.327849	+	0.635617i
$352$	−0.477887	−	0.343763i	−0.0254715	−	0.0183226i
$353$			35.8054i			1.90573i	0.303395	+	0.952865i	$0.401880\pi$
$353$			35.8054i			1.90573i	−0.303395	+	0.952865i	$0.598120\pi$
$354$	0.888873	−	17.5154i	0.0472431	−	0.930933i
$355$	11.5067	+	8.36013i	0.610714	+	0.443709i
$356$	−0.216293	−	0.297702i	−0.0114635	−	0.0157782i
$357$	−5.92968	+	7.34738i	−0.313832	+	0.388865i
$358$	19.4053	+	6.30517i	1.02560	+	0.333238i
$359$	−13.3852	+	9.72493i	−0.706445	+	0.513262i	−0.882025	−	0.471203i	$-0.843820\pi$
$359$	−13.3852	+	9.72493i	−0.706445	+	0.513262i	0.175580	+	0.984465i	$0.443820\pi$
$360$	8.35776	−	1.80544i	0.440492	−	0.0951548i
$361$	0.770987	+	2.37286i	0.0405783	+	0.124887i
$362$	−32.7983			−1.72384
$363$	14.9390	+	11.8248i	0.784094	+	0.620642i
$364$	−0.0837469			−0.00438953
$365$	2.52630	+	7.77516i	0.132233	+	0.406970i
$366$	15.8681	+	24.3464i	0.829437	+	1.27260i
$367$	−4.10384	+	2.98161i	−0.214219	+	0.155639i	−0.689720	−	0.724076i	$-0.742267\pi$
$367$	−4.10384	+	2.98161i	−0.214219	+	0.155639i	0.475502	+	0.879715i	$0.342267\pi$
$368$	10.7572	+	3.49523i	0.560759	+	0.182202i
$369$	25.3109	−	14.7252i	1.31763	−	0.766562i
$370$	4.07096	+	5.60320i	0.211639	+	0.291297i
$371$	2.55443	+	1.85590i	0.132619	+	0.0963535i
$372$	0.442957	+	0.0224792i	0.0229662	+	0.00116549i
$373$		−	0.681544i		−	0.0352890i	−0.999844	−	0.0176445i	$-0.994383\pi$
$373$		−	0.681544i		−	0.0352890i	0.999844	−	0.0176445i	$-0.00561671\pi$
$374$	19.8968	+	14.3125i	1.02884	+	0.740083i
$375$	−1.61803	−	0.618034i	−0.0835549	−	0.0319151i
$376$	−1.41744	+	0.460555i	−0.0730990	+	0.0237513i
$377$	5.47711	−	7.53860i	0.282086	−	0.388258i
$378$	−6.74002	−	3.39216i	−0.346669	−	0.174474i
$379$	3.79512	−	11.6802i	0.194942	−	0.599971i	−0.805035	−	0.593228i	$-0.797853\pi$
$379$	3.79512	−	11.6802i	0.194942	−	0.599971i	0.999977	−	0.00674354i	$-0.00214655\pi$
$380$	−0.0393951	+	0.121246i	−0.00202092	+	0.00621976i
$381$	−11.6998	+	3.15572i	−0.599398	+	0.161672i
$382$	−3.58054	+	4.92818i	−0.183196	+	0.252148i
$383$	4.54015	−	1.47518i	0.231991	−	0.0753783i	−0.190715	−	0.981646i	$-0.561081\pi$
$383$	4.54015	−	1.47518i	0.231991	−	0.0753783i	0.422705	+	0.906267i	$0.361081\pi$
$384$	6.82319	−	17.8633i	0.348195	−	0.911585i
$385$	1.04527	−	3.26957i	0.0532720	−	0.166633i
$386$		−	30.4986i		−	1.55234i
$387$	10.8272	+	4.77770i	0.550379	+	0.242864i
$388$	0.334505	+	0.243032i	0.0169819	+	0.0123381i
$389$	−2.39094	−	3.29085i	−0.121226	−	0.166853i	0.744091	−	0.668078i	$-0.232883\pi$
$389$	−2.39094	−	3.29085i	−0.121226	−	0.166853i	−0.865317	+	0.501225i	$0.832883\pi$
$390$	−4.87660	−	3.93564i	−0.246936	−	0.199289i
$391$	14.3939	+	4.67687i	0.727932	+	0.236520i
$392$	−13.6710	+	9.93256i	−0.690489	+	0.501670i
$393$	6.78071	−	4.41942i	0.342041	−	0.222930i
$394$	−9.44935	−	29.0821i	−0.476051	−	1.46514i
$395$	5.32511			0.267935
$396$	0.124696	−	0.286244i	0.00626621	−	0.0143843i
$397$	27.8660			1.39855			0.699276	−	0.714851i	$-0.253506\pi$
$397$	27.8660			1.39855			0.699276	+	0.714851i	$0.253506\pi$
$398$	4.13730	+	12.7333i	0.207384	+	0.638262i
$399$	6.10124	−	3.97657i	0.305444	−	0.199077i
$400$	−3.18450	+	2.31367i	−0.159225	+	0.115684i
$401$	−28.7164	−	9.33051i	−1.43403	−	0.465944i	−0.513997	−	0.857792i	$-0.671836\pi$
$401$	−28.7164	−	9.33051i	−1.43403	−	0.465944i	−0.920030	+	0.391848i	$0.871836\pi$
$402$	18.6722	+	15.0694i	0.931286	+	0.751592i
$403$	−12.3685	−	17.0238i	−0.616121	−	0.848018i
$404$	0.251819	+	0.182957i	0.0125285	+	0.00910246i
$405$	3.71499	+	8.19749i	0.184599	+	0.407337i
$406$			5.24745i			0.260426i
$407$	16.3715	−	0.0774495i	0.811506	−	0.00383903i
$408$	9.27784	−	24.2897i	0.459322	−	1.20252i
$409$	13.9692	−	4.53888i	0.690734	−	0.224433i	0.0574452	−	0.998349i	$-0.481705\pi$
$409$	13.9692	−	4.53888i	0.690734	−	0.224433i	0.633289	+	0.773916i	$0.281705\pi$
$410$	−8.04986	+	11.0797i	−0.397554	+	0.547186i
$411$	13.3366	−	3.59720i	0.657845	−	0.177437i
$412$	−0.166205	+	0.511526i	−0.00818832	+	0.0252011i
$413$	−2.30805	+	7.10344i	−0.113572	+	0.349538i
$414$	−1.22446	+	12.0331i	−0.0601790	+	0.591392i
$415$	−1.96442	+	2.70380i	−0.0964298	+	0.132724i
$416$	0.435295	−	0.141436i	0.0213421	−	0.00693447i
$417$	−14.8469	−	5.67102i	−0.727057	−	0.277711i
$418$	−11.1845	−	15.2420i	−0.547054	−	0.745512i
$419$		−	33.8069i		−	1.65158i	−0.563981	−	0.825788i	$-0.690731\pi$
$419$		−	33.8069i		−	1.65158i	0.563981	−	0.825788i	$-0.309269\pi$
$420$	−0.0561796	−	0.00285101i	−0.00274129	−	0.000139115i
$421$	−19.4881	−	14.1590i	−0.949793	−	0.690065i	0.000964636	−	1.00000i	$-0.499693\pi$
$421$	−19.4881	−	14.1590i	−0.949793	−	0.690065i	−0.950758	+	0.309934i	$0.899693\pi$
$422$	−7.17927	−	9.88141i	−0.349481	−	0.481020i
$423$	−0.788858	−	1.35595i	−0.0383556	−	0.0659288i
$424$	−8.26967	−	2.68698i	−0.401611	−	0.130491i
$425$	−4.26108	+	3.09586i	−0.206693	+	0.150171i
$426$	18.8734	+	28.9574i	0.914418	+	1.40299i
$427$	−3.82452	−	11.7707i	−0.185081	−	0.569622i
$428$	−0.482475			−0.0233213
$429$	−14.2837	+	3.92523i	−0.689622	+	0.189512i
$430$	−5.53490			−0.266916
$431$	−4.04898	−	12.4615i	−0.195033	−	0.600249i	−0.999976	−	0.00689751i	$-0.997804\pi$
$431$	−4.04898	−	12.4615i	−0.195033	−	0.600249i	0.804943	−	0.593351i	$-0.202196\pi$
$432$	20.2172	+	3.09926i	0.972701	+	0.149113i
$433$	22.8718	−	16.6173i	1.09915	−	0.798577i	0.118226	−	0.992987i	$-0.462279\pi$
$433$	22.8718	−	16.6173i	1.09915	−	0.798577i	0.980920	+	0.194410i	$0.0622793\pi$
$434$	11.2699	+	3.66182i	0.540974	+	0.175773i
$435$	3.93083	−	4.87064i	0.188469	−	0.233529i
$436$	−0.126543	−	0.174171i	−0.00606030	−	0.00834128i
$437$	−9.44444	−	6.86179i	−0.451789	−	0.328244i
$438$	−1.00694	+	19.8420i	−0.0481137	+	0.948089i
$439$			28.1082i			1.34153i	0.741670	+	0.670765i	$0.234034\pi$
$439$			28.1082i			1.34153i	−0.741670	+	0.670765i	$0.765966\pi$
$440$	0.0447191	+	9.45287i	0.00213190	+	0.450648i
$441$	−13.2573	−	11.8577i	−0.631300	−	0.564652i
$442$	−18.1235	+	5.88867i	−0.862046	+	0.280096i
$443$	13.9830	−	19.2460i	0.664354	−	0.914405i	−0.335261	−	0.942125i	$-0.608825\pi$
$443$	13.9830	−	19.2460i	0.664354	−	0.914405i	0.999616	+	0.0277198i	$0.00882461\pi$
$444$	−0.0698682	−	0.259036i	−0.00331580	−	0.0122933i
$445$	−3.62372	+	11.1527i	−0.171781	+	0.528687i
$446$	9.45678	−	29.1050i	0.447792	−	1.37816i
$447$	−0.321356	−	1.19143i	−0.0151996	−	0.0563525i
$448$	−4.94064	+	6.80021i	−0.233423	+	0.321280i
$449$	−33.8758	+	11.0069i	−1.59870	+	0.519448i	−0.966785	−	0.255591i	$-0.917730\pi$
$449$	−33.8758	+	11.0069i	−1.59870	+	0.519448i	−0.631913	+	0.775039i	$0.717730\pi$
$450$	−3.13737	−	2.80615i	−0.147897	−	0.132283i
$451$	10.1494	+	30.7410i	0.477916	+	1.44754i
$452$		−	0.0737611i		−	0.00346943i
$453$	1.19268	−	23.5020i	0.0560369	−	1.10422i
$454$	−25.1818	−	18.2956i	−1.18184	−	0.858656i
$455$	1.56869	+	2.15911i	0.0735411	+	0.101221i
$456$	−12.5957	+	15.6072i	−0.589849	+	0.730874i
$457$	17.5691	+	5.70855i	0.821848	+	0.267034i	0.689608	−	0.724183i	$-0.257783\pi$
$457$	17.5691	+	5.70855i	0.821848	+	0.267034i	0.132240	+	0.991218i	$0.457783\pi$
$458$	17.5179	−	12.7275i	0.818557	−	0.594716i
$459$	27.0521	+	4.14702i	1.26268	+	0.193566i
$460$	0.0278640	+	0.0857567i	0.00129917	+	0.00399843i
$461$	11.4870			0.535004			0.267502	−	0.963557i	$-0.413802\pi$
$461$	11.4870			0.535004			0.267502	+	0.963557i	$0.413802\pi$
$462$	5.20820	−	6.51624i	0.242308	−	0.303163i
$463$	−2.76949			−0.128709			−0.0643547	−	0.997927i	$-0.520499\pi$
$463$	−2.76949			−0.128709			−0.0643547	+	0.997927i	$0.520499\pi$
$464$	−4.39549	−	13.5279i	−0.204055	−	0.628018i
$465$	−7.71760	−	11.8411i	−0.357895	−	0.549118i
$466$	−14.9215	+	10.8411i	−0.691225	+	0.502205i
$467$	13.2187	+	4.29501i	0.611687	+	0.198749i	0.598446	−	0.801163i	$-0.295785\pi$
$467$	13.2187	+	4.29501i	0.611687	+	0.198749i	0.0132412	+	0.999912i	$0.495785\pi$
$468$	0.122072	+	0.209827i	0.00564277	+	0.00969926i
$469$	−6.00641	−	8.26712i	−0.277350	−	0.381740i
$470$	0.593561	+	0.431247i	0.0273789	+	0.0198920i
$471$	−1.76443	−	0.0895412i	−0.0813004	−	0.00412584i
$472$		−	20.5688i		−	0.946756i
$473$	−7.64014	+	10.6211i	−0.351294	+	0.488357i
$474$	12.0892	+	4.61766i	0.555275	+	0.212096i
$475$	3.86380	−	1.25542i	0.177283	−	0.0576028i
$476$	−0.100544	+	0.138388i	−0.00460845	+	0.00634298i
$477$	0.926539	−	9.10530i	0.0424233	−	0.416903i
$478$	−10.3536	+	31.8651i	−0.473563	+	1.45748i
$479$	−9.38070	+	28.8708i	−0.428615	+	1.31914i	0.470875	+	0.882200i	$0.343938\pi$
$479$	−9.38070	+	28.8708i	−0.428615	+	1.31914i	−0.899490	+	0.436942i	$0.856062\pi$
$480$	0.296823	−	0.0800602i	0.0135480	−	0.00365423i
$481$	−7.48183	+	10.2979i	−0.341142	+	0.469542i
$482$	−17.9691	+	5.83853i	−0.818472	+	0.265938i
$483$	1.83801	−	4.81198i	0.0836325	−	0.218953i
$484$	0.281162	+	0.200240i	0.0127801	+	0.00910181i
$485$		−	13.1763i		−	0.598305i
$486$	1.32541	+	21.8316i	0.0601220	+	0.990301i
$487$	−34.6100	−	25.1457i	−1.56833	−	1.13946i	−0.928733	−	0.370750i	$-0.879101\pi$
$487$	−34.6100	−	25.1457i	−1.56833	−	1.13946i	−0.639598	−	0.768709i	$-0.720899\pi$
$488$	20.0336	+	27.5739i	0.906880	+	1.24821i
$489$	0.663840	+	0.535750i	0.0300199	+	0.0242275i
$490$	7.91148	+	2.57059i	0.357404	+	0.116128i
$491$	10.0293	−	7.28673i	0.452617	−	0.328845i	−0.338011	−	0.941142i	$-0.609754\pi$
$491$	10.0293	−	7.28673i	0.452617	−	0.328845i	0.790628	+	0.612297i	$0.209754\pi$
$492$	0.444451	−	0.289677i	0.0200374	−	0.0130597i
$493$	−5.88147	−	18.1013i	−0.264888	−	0.815242i
$494$	14.6988			0.661329
$495$	−9.71550	+	2.14689i	−0.436679	+	0.0964955i
$496$	−32.1212			−1.44228
$497$	−4.54886	−	13.9999i	−0.204044	−	0.627983i
$498$	−6.80427	+	4.43478i	−0.304907	+	0.198727i
$499$	4.09265	−	2.97348i	0.183212	−	0.133111i	−0.492399	−	0.870370i	$-0.663880\pi$
$499$	4.09265	−	2.97348i	0.183212	−	0.133111i	0.675611	+	0.737258i	$0.263880\pi$
$500$	−0.0298440	−	0.00969692i	−0.00133467	−	0.000433659i
$501$	11.0032	+	8.88011i	0.491588	+	0.396734i
$502$	−13.8509	−	19.0641i	−0.618196	−	0.850874i
$503$	10.4690	+	7.60617i	0.466790	+	0.339143i	0.796189	−	0.605048i	$-0.206846\pi$
$503$	10.4690	+	7.60617i	0.466790	+	0.339143i	−0.329399	+	0.944191i	$0.606846\pi$
$504$	−8.09630	−	3.57263i	−0.360638	−	0.159138i
$505$		−	9.91926i		−	0.441401i
$506$	−12.7367	−	4.07189i	−0.566215	−	0.181017i
$507$	−3.92488	+	10.2755i	−0.174310	+	0.456349i
$508$	−0.208797	+	0.0678423i	−0.00926387	+	0.00301001i
$509$	16.1003	−	22.1601i	0.713633	−	0.982231i	−0.286079	−	0.958206i	$-0.592352\pi$
$509$	16.1003	−	22.1601i	0.713633	−	0.982231i	0.999711	−	0.0240252i	$-0.00764819\pi$
$510$	−12.3582	+	3.33330i	−0.547229	+	0.147601i
$511$	2.61463	−	8.04702i	0.115665	−	0.355979i
$512$	7.14964	−	22.0043i	0.315973	−	0.972464i
$513$	−18.8566	−	9.49026i	−0.832539	−	0.419005i
$514$	7.24538	−	9.97241i	0.319580	−	0.439864i
$515$	16.3011	−	5.29654i	0.718311	−	0.233393i
$516$	0.200294	+	0.0765054i	0.00881744	+	0.00336796i
$517$	1.64686	−	0.543724i	0.0724288	−	0.0239129i
$518$		−	7.16810i		−	0.314948i
$519$	−22.5031	−	1.14199i	−0.987778	−	0.0501278i
$520$	−5.94595	−	4.31999i	−0.260747	−	0.189444i
$521$	−5.84707	−	8.04780i	−0.256165	−	0.352581i	0.661494	−	0.749951i	$-0.269923\pi$
$521$	−5.84707	−	8.04780i	−0.256165	−	0.352581i	−0.917658	+	0.397370i	$0.869923\pi$
$522$	13.1474	−	7.64882i	0.575447	−	0.334780i
$523$	−41.9263	−	13.6227i	−1.83331	−	0.595678i	−0.999016	−	0.0443582i	$-0.985876\pi$
$523$	−41.9263	−	13.6227i	−1.83331	−	0.595678i	−0.834294	−	0.551320i	$-0.814124\pi$
$524$	0.118631	−	0.0861907i	0.00518243	−	0.00376526i
$525$	0.978814	+	1.50179i	0.0427189	+	0.0655436i
$526$	−0.666026	−	2.04982i	−0.0290401	−	0.0893763i
$527$	−42.9804			−1.87226
$528$	−7.96847	+	21.1615i	−0.346783	+	0.920936i
$529$	14.7430			0.641001
$530$	1.32274	+	4.07096i	0.0574560	+	0.176831i
$531$	21.1619	−	4.57138i	0.918348	−	0.198381i
$532$	0.106744	−	0.0775539i	0.00462793	−	0.00336239i
$533$	−23.9379	−	7.77790i	−1.03687	−	0.336898i
$534$	−17.8977	+	22.1768i	−0.774508	+	0.959682i
$535$	9.03737	+	12.4389i	0.390720	+	0.537780i
$536$	22.7667	+	16.5410i	0.983373	+	0.714462i
$537$	−1.27660	+	25.1556i	−0.0550893	+	1.08555i
$538$			11.3917i			0.491131i
$539$	15.8535	−	11.6332i	0.682857	−	0.501077i
$540$	0.0747458	+	0.144913i	0.00321655	+	0.00623608i
$541$	23.6604	−	7.68773i	1.01724	−	0.330521i	0.247506	−	0.968886i	$-0.420389\pi$
$541$	23.6604	−	7.68773i	1.01724	−	0.330521i	0.769734	+	0.638365i	$0.220389\pi$
$542$	18.9028	−	26.0175i	0.811944	−	1.11755i
$543$	−10.5439	−	39.0915i	−0.452482	−	1.67757i
$544$	0.288889	−	0.889108i	0.0123860	−	0.0381202i
$545$	−2.12007	+	6.52489i	−0.0908137	+	0.279496i
$546$	1.68900	+	6.26195i	0.0722825	+	0.267987i
$547$	1.42316	−	1.95881i	0.0608499	−	0.0837527i	−0.777508	−	0.628874i	$-0.783516\pi$
$547$	1.42316	−	1.95881i	0.0608499	−	0.0837527i	0.838357	+	0.545121i	$0.183516\pi$
$548$	0.238007	−	0.0773333i	0.0101672	−	0.00330352i
$549$	−23.9166	+	26.7395i	−1.02073	+	1.14122i
$550$	3.75176	−	2.75302i	0.159975	−	0.117389i
$551$			14.6808i			0.625423i
$552$	−0.718959	+	14.1672i	−0.0306009	+	0.602997i
$553$	−4.45874	−	3.23946i	−0.189605	−	0.137756i
$554$	−19.6064	−	26.9860i	−0.832998	−	1.14652i
$555$	−5.36959	+	6.65338i	−0.227926	+	0.282420i
$556$	−0.273846	−	0.0889779i	−0.0116137	−	0.00377351i
$557$	21.4871	−	15.6113i	0.910439	−	0.661473i	−0.0306866	−	0.999529i	$-0.509769\pi$
$557$	21.4871	−	15.6113i	0.910439	−	0.661473i	0.941126	+	0.338056i	$0.109769\pi$
$558$	−7.25269	−	33.5743i	−0.307031	−	1.42131i
$559$	−3.14342	−	9.67445i	−0.132953	−	0.409186i
$560$	4.07389			0.172153
$561$	−10.6624	+	28.3156i	−0.450166	+	1.19549i
$562$	−21.0335			−0.887243
$563$	−2.09303	−	6.44168i	−0.0882106	−	0.271484i	0.897214	−	0.441595i	$-0.145587\pi$
$563$	−2.09303	−	6.44168i	−0.0882106	−	0.271484i	−0.985425	+	0.170111i	$0.945587\pi$
$564$	−0.0155186	−	0.0238102i	−0.000653451	−	0.00100259i
$565$	−1.90166	+	1.38164i	−0.0800036	+	0.0581260i
$566$	8.30936	+	2.69987i	0.349268	+	0.113484i
$567$	1.87626	−	9.12376i	0.0787956	−	0.383162i
$568$	23.8279	+	32.7962i	0.999795	+	1.37610i
$569$	−12.3948	−	9.00538i	−0.519619	−	0.377525i	0.296841	−	0.954927i	$-0.404067\pi$
$569$	−12.3948	−	9.00538i	−0.519619	−	0.377525i	−0.816460	+	0.577401i	$0.804067\pi$
$570$	9.86033	+	0.500392i	0.413004	+	0.0209591i
$571$			15.1516i			0.634077i	0.948413	+	0.317038i	$0.102688\pi$
$571$			15.1516i			0.634077i	−0.948413	+	0.317038i	$0.897312\pi$
$572$	−0.254843	+	0.0841384i	−0.0106555	+	0.00351800i
$573$	−7.02483	−	2.68325i	−0.293467	−	0.112094i
$574$	13.4804	−	4.38003i	0.562659	−	0.182819i
$575$	1.68900	−	2.32471i	0.0704361	−	0.0969470i
$576$	24.2395	+	2.46657i	1.00998	+	0.102774i
$577$	4.88074	−	15.0214i	0.203188	−	0.625348i	−0.796595	−	0.604513i	$-0.793368\pi$
$577$	4.88074	−	15.0214i	0.203188	−	0.625348i	0.999783	−	0.0208346i	$-0.00663235\pi$
$578$	−4.65710	+	14.3331i	−0.193710	+	0.596177i
$579$	36.3504	−	9.80459i	1.51067	−	0.407465i
$580$	0.0666517	−	0.0917382i	0.00276756	−	0.00380922i
$581$	3.28964	−	1.06887i	0.136477	−	0.0443442i
$582$	11.4258	−	29.9131i	0.473615	−	1.23994i
$583$	9.63773	+	3.08116i	0.399154	+	0.127609i
$584$			23.3010i			0.964203i
$585$	3.12308	−	7.07751i	0.129123	−	0.292619i
$586$	0.347679	+	0.252603i	0.0143625	+	0.0104350i
$587$	27.8625	+	38.3494i	1.15001	+	1.58285i	0.742801	+	0.669512i	$0.233497\pi$
$587$	27.8625	+	38.3494i	1.15001	+	1.58285i	0.407206	+	0.913336i	$0.366503\pi$
$588$	−0.250764	−	0.202379i	−0.0103414	−	0.00834595i
$589$	31.5299	+	10.2447i	1.29917	+	0.422125i
$590$	−8.19173	+	5.95164i	−0.337248	+	0.245025i
$591$	31.6245	−	20.6117i	1.30086	−	0.847851i
$592$	6.00431	+	18.4794i	0.246776	+	0.759498i
$593$	−11.5215			−0.473130			−0.236565	−	0.971616i	$-0.576022\pi$
$593$	−11.5215			−0.473130			−0.236565	+	0.971616i	$0.576022\pi$
$594$	−23.9180	−	3.55086i	−0.981368	−	0.145693i
$595$	5.45115			0.223475
$596$	−0.00690859	−	0.0212624i	−0.000282987	−	0.000870944i
$597$	−13.8464	+	9.02459i	−0.566696	+	0.369352i
$598$	8.41087	−	6.11085i	0.343946	−	0.249891i
$599$	7.87515	+	2.55879i	0.321770	+	0.104549i	0.465448	−	0.885075i	$-0.345893\pi$
$599$	7.87515	+	2.55879i	0.321770	+	0.104549i	−0.143679	+	0.989624i	$0.545893\pi$
$600$	−3.84164	−	3.10038i	−0.156834	−	0.126573i
$601$	−15.9133	−	21.9028i	−0.649116	−	0.893432i	0.349944	−	0.936771i	$-0.386201\pi$
$601$	−15.9133	−	21.9028i	−0.649116	−	0.893432i	−0.999060	+	0.0433386i	$0.986201\pi$
$602$	4.63439	+	3.36708i	0.188884	+	0.137232i
$603$	−11.9581	+	27.0994i	−0.486971	+	1.10357i
$604$		−	0.426337i		−	0.0173474i
$605$	−0.104074	−	10.9995i	−0.00423121	−	0.447194i
$606$	8.60147	−	22.5189i	0.349411	−	0.914769i
$607$	21.6883	−	7.04694i	0.880299	−	0.286027i	0.166218	−	0.986089i	$-0.446845\pi$
$607$	21.6883	−	7.04694i	0.880299	−	0.286027i	0.714082	+	0.700063i	$0.246845\pi$
$608$	−0.423851	+	0.583380i	−0.0171894	+	0.0236592i
$609$	−6.25429	+	1.68693i	−0.253437	+	0.0683580i
$610$	5.18480	−	15.9572i	0.209926	−	0.646087i
$611$	−0.416678	+	1.28240i	−0.0168570	+	0.0518805i
$612$	0.493285	+	0.0501958i	0.0199399	+	0.00202904i
$613$	−27.9008	+	38.4022i	−1.12690	+	1.55105i	−0.333086	+	0.942897i	$0.608090\pi$
$613$	−27.9008	+	38.4022i	−1.12690	+	1.55105i	−0.793819	+	0.608154i	$0.791910\pi$
$614$	−21.9922	+	7.14571i	−0.887534	+	0.288377i
$615$	−15.7934	−	6.03255i	−0.636852	−	0.243256i
$616$	5.71309	−	7.94213i	0.230187	−	0.319998i
$617$			2.05191i			0.0826069i	0.999147	+	0.0413035i	$0.0131510\pi$
$617$			2.05191i			0.0826069i	−0.999147	+	0.0413035i	$0.986849\pi$
$618$	41.6000	+	2.11112i	1.67340	+	0.0849216i
$619$	29.4679	+	21.4097i	1.18442	+	0.860528i	0.992663	−	0.120915i	$-0.0385829\pi$
$619$	29.4679	+	21.4097i	1.18442	+	0.860528i	0.191753	+	0.981443i	$0.438583\pi$
$620$	−0.150514	−	0.207165i	−0.00604480	−	0.00831996i
$621$	−14.7355	+	2.40895i	−0.591316	+	0.0966677i
$622$	27.8881	+	9.06140i	1.11821	+	0.363329i
$623$	9.81874	−	7.13373i	0.393380	−	0.285807i
$624$	−9.59952	−	14.7285i	−0.384288	−	0.589613i
$625$	0.309017	+	0.951057i	0.0123607	+	0.0380423i
$626$	21.4801			0.858517
$627$	14.5710	−	18.2305i	0.581910	−	0.728057i
$628$	−0.0320075			−0.00127724
$629$	8.03420	+	24.7267i	0.320344	+	0.985919i
$630$	0.919849	+	4.25818i	0.0366477	+	0.169650i
$631$	−20.3813	+	14.8079i	−0.811368	+	0.589493i	−0.914227	−	0.405203i	$-0.867201\pi$
$631$	−20.3813	+	14.8079i	−0.811368	+	0.589493i	0.102859	+	0.994696i	$0.467201\pi$
$632$	14.4347	+	4.69011i	0.574180	+	0.186563i
$633$	9.46942	−	11.7334i	0.376376	−	0.466362i
$634$	0.401592	+	0.552744i	0.0159493	+	0.0219523i
$635$	5.66010	+	4.11231i	0.224614	+	0.163192i
$636$	0.00840394	−	0.165601i	0.000333238	−	0.00656651i
$637$			15.2884i			0.605748i
$638$	5.27198	+	15.9681i	0.208720	+	0.632181i
$639$	−28.4462	+	31.8038i	−1.12531	+	1.25814i
$640$	−10.4998	+	3.41160i	−0.415042	+	0.134855i
$641$	−11.2508	+	15.4853i	−0.444378	+	0.611635i	−0.971178	−	0.238355i	$-0.923392\pi$
$641$	−11.2508	+	15.4853i	−0.444378	+	0.611635i	0.526800	+	0.849990i	$0.323392\pi$
$642$	9.73051	+	36.0758i	0.384032	+	1.42380i
$643$	5.79670	−	17.8404i	0.228600	−	0.703557i	−0.769307	−	0.638880i	$-0.779398\pi$
$643$	5.79670	−	17.8404i	0.228600	−	0.703557i	0.997906	−	0.0646776i	$-0.0206019\pi$
$644$	0.0288383	−	0.0887552i	0.00113639	−	0.00349744i
$645$	−1.77934	−	6.59690i	−0.0700615	−	0.259753i
$646$	17.6470	−	24.2890i	0.694311	−	0.955637i
$647$	13.8525	−	4.50095i	0.544597	−	0.176950i	−0.0237817	−	0.999717i	$-0.507571\pi$
$647$	13.8525	−	4.50095i	0.544597	−	0.176950i	0.568379	+	0.822767i	$0.307571\pi$
$648$	2.85018	+	25.4928i	0.111966	+	1.00145i
$649$	0.113229	+	23.9347i	0.00444463	+	0.939520i
$650$			3.61803i			0.141911i
$651$	−0.741405	+	14.6095i	−0.0290579	+	0.572592i
$652$	0.0125034	+	0.00908425i	0.000489671	+	0.000355767i
$653$	−23.2061	−	31.9405i	−0.908126	−	1.24993i	−0.967802	−	0.251711i	$-0.919007\pi$
$653$	−23.2061	−	31.9405i	−0.908126	−	1.24993i	0.0596762	−	0.998218i	$-0.480993\pi$
$654$	−10.4711	+	12.9746i	−0.409451	+	0.507345i
$655$	−4.44423	−	1.44402i	−0.173651	−	0.0564225i
$656$	−31.0835	+	22.5835i	−1.21361	+	0.881736i
$657$	−23.9729	+	5.17861i	−0.935272	+	0.202037i
$658$	−0.234647	−	0.722170i	−0.00914750	−	0.0281531i
$659$	−3.67517			−0.143164			−0.0715822	−	0.997435i	$-0.522805\pi$
$659$	−3.67517			−0.143164			−0.0715822	+	0.997435i	$0.522805\pi$
$660$	−0.173820	+	0.0477667i	−0.00676593	+	0.00185931i
$661$	21.2819			0.827769			0.413885	−	0.910329i	$-0.364172\pi$
$661$	21.2819			0.827769			0.413885	+	0.910329i	$0.364172\pi$
$662$	6.09815	+	18.7682i	0.237011	+	0.729446i
$663$	−12.8448	−	19.7078i	−0.498852	−	0.765388i
$664$	−7.70631	+	5.59896i	−0.299063	+	0.217282i
$665$	−3.99890	−	1.29932i	−0.155071	−	0.0503855i
$666$	−17.9596	+	10.4484i	−0.695921	+	0.404868i
$667$	6.10338	+	8.40059i	0.236324	+	0.325272i
$668$	0.207245	+	0.150572i	0.00801855	+	0.00582582i
$669$	37.7296	+	1.91470i	1.45871	+	0.0740267i
$670$		−	13.8533i		−	0.535198i
$671$	−23.4638	−	31.9759i	−0.905809	−	1.23442i
$672$	−0.297234	−	0.113533i	−0.0114661	−	0.00437965i
$673$	−38.5495	+	12.5255i	−1.48597	+	0.482822i	−0.935891	−	0.352290i	$-0.885403\pi$
$673$	−38.5495	+	12.5255i	−1.48597	+	0.482822i	−0.550081	+	0.835111i	$0.685403\pi$
$674$	0.635835	−	0.875151i	0.0244914	−	0.0337096i
$675$	2.33598	−	4.64146i	0.0899120	−	0.178650i
$676$	−0.0615811	+	0.189527i	−0.00236850	+	0.00728950i
$677$	−5.90950	+	18.1876i	−0.227120	+	0.699005i	0.770949	+	0.636897i	$0.219782\pi$
$677$	−5.90950	+	18.1876i	−0.227120	+	0.699005i	−0.998069	+	0.0621079i	$0.980218\pi$
$678$	−5.51529	+	1.48761i	−0.211813	+	0.0571312i
$679$	−8.01563	+	11.0326i	−0.307612	+	0.423391i
$680$	−14.2771	+	4.63892i	−0.547503	+	0.177894i
$681$	13.7107	−	35.8951i	0.525396	−	1.37550i
$682$	37.9735	−	0.179643i	1.45408	−	0.00687889i
$683$			34.9586i			1.33765i	0.743418	+	0.668827i	$0.233203\pi$
$683$			34.9586i			1.33765i	−0.743418	+	0.668827i	$0.766797\pi$
$684$	−0.349903	−	0.154401i	−0.0133789	−	0.00590367i
$685$	−6.45195	−	4.68761i	−0.246516	−	0.179104i
$686$	−11.0353	−	15.1888i	−0.421331	−	0.579912i
$687$	20.8012	+	16.7875i	0.793614	+	0.640483i
$688$	−14.7679	−	4.79837i	−0.563020	−	0.182936i
$689$	−6.36443	+	4.62403i	−0.242465	+	0.176161i
$690$	5.85027	−	3.81299i	0.222716	−	0.145158i
$691$	−5.50906	−	16.9551i	−0.209574	−	0.645003i	−0.999494	−	0.0317937i	$-0.989878\pi$
$691$	−5.50906	−	16.9551i	−0.209574	−	0.645003i	0.789920	−	0.613210i	$-0.210122\pi$
$692$	−0.408218			−0.0155181
$693$	9.44086	+	4.11270i	0.358629	+	0.156228i
$694$	12.6522			0.480273
$695$	2.83551	+	8.72680i	0.107557	+	0.331026i
$696$	14.9451	−	9.74065i	0.566491	−	0.369218i
$697$	−41.5919	+	30.2183i	−1.57540	+	1.14460i
$698$	9.07222	+	2.94774i	0.343389	+	0.111574i
$699$	−17.7181	−	14.2994i	−0.670162	−	0.540852i
$700$	0.0190895	+	0.0262745i	0.000721517	+	0.000993083i
$701$	2.70228	+	1.96332i	0.102064	+	0.0741537i	0.637647	−	0.770329i	$-0.279908\pi$
$701$	2.70228	+	1.96332i	0.102064	+	0.0741537i	−0.535583	+	0.844483i	$0.679908\pi$
$702$	13.2273	−	13.3594i	0.499233	−	0.504216i
$703$		−	20.0542i		−	0.756359i
$704$	−8.20244	+	25.6569i	−0.309141	+	0.966980i
$705$	−0.323176	+	0.846086i	−0.0121715	+	0.0318654i
$706$	47.7789	−	15.5243i	1.79818	−	0.584265i
$707$	−6.03425	+	8.30544i	−0.226941	+	0.312358i
$708$	0.378704	−	0.102146i	0.0142326	−	0.00383886i
$709$	11.6357	−	35.8110i	0.436988	−	1.34491i	−0.454047	−	0.890978i	$-0.650020\pi$
$709$	11.6357	−	35.8110i	0.436988	−	1.34491i	0.891035	−	0.453934i	$-0.149980\pi$
$710$	6.16677	−	18.9794i	0.231435	−	0.712283i
$711$	−1.61727	+	15.8933i	−0.0606523	+	0.596043i
$712$	−19.6455	+	27.0397i	−0.736247	+	1.01336i
$713$	22.3010	−	7.24605i	0.835180	−	0.271367i
$714$	12.3753	+	4.72695i	0.463135	+	0.176902i
$715$	6.94274	+	4.99419i	0.259644	+	0.186772i
$716$			0.456336i			0.0170541i
$717$	−41.3077	−	2.09628i	−1.54266	−	0.0782871i
$718$	18.7805	+	13.6448i	0.700881	+	0.509220i
$719$	10.4504	+	14.3838i	0.389736	+	0.536425i	0.958131	−	0.286330i	$-0.0924355\pi$
$719$	10.4504	+	14.3838i	0.389736	+	0.536425i	−0.568395	+	0.822756i	$0.692436\pi$
$720$	−5.93821	−	10.2071i	−0.221304	−	0.380396i
$721$	−16.8710	−	5.48173i	−0.628310	−	0.204150i
$722$	2.83207	−	2.05762i	0.105399	−	0.0765766i
$723$	−12.7355	−	19.5400i	−0.473637	−	0.726700i
$724$	−0.226675	−	0.697635i	−0.00842432	−	0.0259274i
$725$	−3.61361			−0.134206
$726$	9.30193	−	25.0616i	0.345227	−	0.930123i
$727$	4.62041			0.171362			0.0856808	−	0.996323i	$-0.472693\pi$
$727$	4.62041			0.171362			0.0856808	+	0.996323i	$0.472693\pi$
$728$	2.35056	+	7.23429i	0.0871176	+	0.268121i
$729$	−25.5944	+	8.59808i	−0.947941	+	0.318447i
$730$	9.27986	−	6.74222i	0.343463	−	0.249541i
$731$	−19.7605	−	6.42057i	−0.730867	−	0.237473i
$732$	−0.408191	+	0.505783i	−0.0150872	+	0.0186943i
$733$	7.15197	+	9.84384i	0.264164	+	0.363591i	0.920409	−	0.390958i	$-0.127856\pi$
$733$	7.15197	+	9.84384i	0.264164	+	0.363591i	−0.656245	+	0.754548i	$0.727856\pi$
$734$	5.75799	+	4.18343i	0.212531	+	0.154413i
$735$	−0.520465	+	10.2559i	−0.0191977	+	0.378293i
$736$			0.510031i			0.0188000i
$737$	−26.5834	−	19.1225i	−0.979211	−	0.704385i
$738$	−30.6235	−	27.3905i	−1.12727	−	1.00826i
$739$	−5.56781	+	1.80909i	−0.204815	+	0.0665485i	−0.409628	−	0.912253i	$-0.634341\pi$
$739$	−5.56781	+	1.80909i	−0.204815	+	0.0665485i	0.204813	+	0.978801i	$0.434341\pi$
$740$	−0.0910474	+	0.125316i	−0.00334697	+	0.00460671i
$741$	4.72532	+	17.5191i	0.173589	+	0.643579i
$742$	1.36899	−	4.21330i	0.0502570	−	0.154675i
$743$	−5.49160	+	16.9014i	−0.201467	+	0.620052i	0.798373	+	0.602163i	$0.205694\pi$
$743$	−5.49160	+	16.9014i	−0.201467	+	0.620052i	−0.999840	+	0.0178887i	$0.994306\pi$
$744$	−10.4909	−	38.8948i	−0.384614	−	1.42595i
$745$	−0.418769	+	0.576386i	−0.0153425	+	0.0211171i
$746$	−0.909455	+	0.295500i	−0.0332975	+	0.0108190i
$747$	−7.47311	−	6.68416i	−0.273427	−	0.244560i
$748$	−0.166924	+	0.522130i	−0.00610333	+	0.0190910i
$749$		−	15.9129i		−	0.581444i
$750$	−0.123169	+	2.42707i	−0.00449751	+	0.0886242i
$751$	7.53701	+	5.47596i	0.275029	+	0.199820i	0.716746	−	0.697334i	$-0.245631\pi$
$751$	7.53701	+	5.47596i	0.275029	+	0.199820i	−0.441717	+	0.897154i	$0.645631\pi$
$752$	1.20984	+	1.66520i	0.0441184	+	0.0607238i
$753$	18.2693	−	22.6372i	0.665770	−	0.824945i
$754$	−12.4343	−	4.04014i	−0.452829	−	0.147133i
$755$	−10.9916	+	7.98584i	−0.400024	+	0.290635i
$756$	0.0255712	−	0.166807i	0.000930015	−	0.00606672i
$757$	10.3019	+	31.7060i	0.374429	+	1.15237i	0.943863	+	0.330336i	$0.107162\pi$
$757$	10.3019	+	31.7060i	0.374429	+	1.15237i	−0.569435	+	0.822036i	$0.692838\pi$
$758$	−17.2316			−0.625878
$759$	0.758622	−	16.4895i	0.0275362	−	0.598532i
$760$	11.5792			0.420023
$761$	−0.0678757	−	0.208900i	−0.00246049	−	0.00757261i	0.949819	−	0.312801i	$-0.101267\pi$
$761$	−0.0678757	−	0.208900i	−0.00246049	−	0.00757261i	−0.952279	+	0.305228i	$0.901267\pi$
$762$	9.28372	+	14.2440i	0.336314	+	0.516006i
$763$	5.74448	−	4.17361i	0.207964	−	0.151095i
$764$	−0.129570	−	0.0421000i	−0.00468769	−	0.00152312i
$765$	−7.94574	−	13.6578i	−0.287279	−	0.493799i
$766$	−3.93698	−	5.41879i	−0.142249	−	0.195789i
$767$	−15.0552	−	10.9382i	−0.543612	−	0.394957i
$768$	1.30244	+	0.0660962i	0.0469977	+	0.00238504i
$769$			42.8787i			1.54624i	0.634257	+	0.773122i	$0.281306\pi$
$769$			42.8787i			1.54624i	−0.634257	+	0.773122i	$0.718694\pi$
$770$	−4.81613	+	0.0227839i	−0.173561	+	0.000821074i
$771$	14.2151	+	5.42968i	0.511944	+	0.195545i
$772$	0.648718	−	0.210781i	0.0233479	−	0.00758618i
$773$	−11.7953	+	16.2348i	−0.424246	+	0.583924i	−0.966621	−	0.256212i	$-0.917525\pi$
$773$	−11.7953	+	16.2348i	−0.424246	+	0.583924i	0.542375	+	0.840137i	$0.317525\pi$
$774$	1.68098	−	16.5194i	0.0604217	−	0.593777i
$775$	−2.52168	+	7.76094i	−0.0905815	+	0.278781i
$776$	11.6051	−	35.7167i	0.416598	−	1.28216i
$777$	8.54347	−	2.30438i	0.306495	−	0.0826692i
$778$	−3.35467	+	4.61731i	−0.120271	+	0.165539i
$779$	37.7140	−	12.2540i	1.35125	−	0.439046i
$780$	0.0500098	−	0.130927i	0.00179064	−	0.00468795i
$781$	−27.9076	−	38.0319i	−0.998614	−	1.36089i
$782$		−	21.2351i		−	0.759365i
$783$	13.3430	+	13.2112i	0.476841	+	0.472128i
$784$	18.8804	+	13.7174i	0.674300	+	0.489908i
$785$	0.599542	+	0.825199i	0.0213986	+	0.0294526i
$786$	−8.83722	−	7.13205i	−0.315213	−	0.254392i
$787$	−25.8600	−	8.40243i	−0.921811	−	0.299514i	−0.190601	−	0.981668i	$-0.561044\pi$
$787$	−25.8600	−	8.40243i	−0.921811	−	0.299514i	−0.731209	+	0.682153i	$0.761044\pi$
$788$	0.553283	−	0.401984i	0.0197099	−	0.0143201i
$789$	2.22901	−	1.45279i	0.0793549	−	0.0517206i
$790$	−2.30883	−	7.10584i	−0.0821444	−	0.252815i
$791$	2.43277			0.0864995
$792$	−28.2265	−	2.73743i	−1.00298	−	0.0972702i
$793$	30.8362			1.09502
$794$	−12.0820	−	37.1844i	−0.428773	−	1.31963i
$795$	−4.42685	+	2.88526i	−0.157004	+	0.102329i
$796$	−0.242249	+	0.176004i	−0.00858629	+	0.00623831i
$797$	1.73375	+	0.563330i	0.0614126	+	0.0199542i	0.339562	−	0.940584i	$-0.389721\pi$
$797$	1.73375	+	0.563330i	0.0614126	+	0.0199542i	−0.278150	+	0.960538i	$0.589721\pi$
$798$	−7.95168	−	6.41738i	−0.281487	−	0.227173i
$799$	1.61885	+	2.22816i	0.0572710	+	0.0788267i
$800$	−0.143596	−	0.104329i	−0.00507690	−	0.00368858i
$801$	−32.1856	−	14.2025i	−1.13722	−	0.501819i
$802$			42.3647i			1.49595i
$803$	−0.128270	−	27.1141i	−0.00452654	−	0.956834i
$804$	−0.191485	+	0.501314i	−0.00675315	+	0.0176800i
$805$	−2.82841	+	0.919006i	−0.0996884	+	0.0323907i
$806$	−17.3540	+	23.8857i	−0.611268	+	0.841339i
$807$	−13.5775	+	3.66217i	−0.477950	+	0.128915i
$808$	8.73643	−	26.8880i	0.307346	−	0.945915i
$809$	3.75218	−	11.5480i	0.131920	−	0.406007i	−0.863178	−	0.504899i	$-0.831530\pi$
$809$	3.75218	−	11.5480i	0.131920	−	0.406007i	0.995098	+	0.0988918i	$0.0315298\pi$
$810$	9.32804	−	8.51151i	0.327754	−	0.299064i
$811$	10.4328	−	14.3596i	0.366346	−	0.504232i	−0.585557	−	0.810631i	$-0.699124\pi$
$811$	10.4328	−	14.3596i	0.366346	−	0.504232i	0.951903	+	0.306399i	$0.0991241\pi$
$812$	−0.111615	+	0.0362661i	−0.00391694	+	0.00127269i
$813$	37.0863	+	14.1657i	1.30067	+	0.496814i
$814$	−7.20162	−	21.8126i	−0.252417	−	0.764533i
$815$		−	0.492514i		−	0.0172520i
$816$	−35.8631	−	1.81998i	−1.25546	−	0.0637121i
$817$	12.9657	+	9.42010i	0.453611	+	0.329567i
$818$	−12.1134	−	16.6727i	−0.423535	−	0.582946i
$819$	−6.92047	+	4.02614i	−0.241821	+	0.140685i
$820$	−0.291304	−	0.0946503i	−0.0101728	−	0.00330533i
$821$	18.4964	−	13.4384i	0.645530	−	0.469005i	−0.216216	−	0.976346i	$-0.569371\pi$
$821$	18.4964	−	13.4384i	0.645530	−	0.469005i	0.861746	+	0.507341i	$0.169371\pi$
$822$	−10.5825	−	16.2367i	−0.369107	−	0.566321i
$823$	−1.16170	−	3.57536i	−0.0404945	−	0.124629i	0.928766	−	0.370668i	$-0.120871\pi$
$823$	−1.16170	−	3.57536i	−0.0404945	−	0.124629i	−0.969260	+	0.246038i	$0.920871\pi$
$824$	48.8519			1.70184
$825$	4.48736	+	3.58659i	0.156230	+	0.124869i
$826$	10.4796			0.364631
$827$	−9.02739	−	27.7834i	−0.313913	−	0.966125i	−0.976200	−	0.216874i	$-0.930414\pi$
$827$	−9.02739	−	27.7834i	−0.313913	−	0.966125i	0.662287	−	0.749251i	$-0.269586\pi$
$828$	−0.264411	+	0.0571178i	−0.00918891	+	0.00198498i
$829$	21.4012	−	15.5489i	0.743295	−	0.540035i	−0.150446	−	0.988618i	$-0.548071\pi$
$829$	21.4012	−	15.5489i	0.743295	−	0.540035i	0.893741	+	0.448583i	$0.148071\pi$
$830$	4.45968	+	1.44904i	0.154798	+	0.0502969i
$831$	25.8608	−	32.0438i	0.897102	−	1.11159i
$832$	−12.3098	−	16.9429i	−0.426764	−	0.587390i
$833$	25.2633	+	18.3549i	0.875322	+	0.635959i
$834$	−1.13019	+	22.2706i	−0.0391353	+	0.771168i
$835$		−	8.16348i		−	0.282509i
$836$	0.246906	−	0.343241i	0.00853944	−	0.0118712i
$837$	37.6847	−	19.4376i	1.30257	−	0.671863i
$838$	−45.1121	+	14.6578i	−1.55837	+	0.506345i
$839$	3.69582	−	5.08686i	0.127594	−	0.175618i	−0.740441	−	0.672122i	$-0.765383\pi$
$839$	3.69582	−	5.08686i	0.127594	−	0.175618i	0.868034	+	0.496504i	$0.165383\pi$
$840$	1.33054	+	4.93297i	0.0459081	+	0.170204i
$841$	−4.92629	+	15.1616i	−0.169872	+	0.522813i
$842$	−10.4442	+	32.1440i	−0.359931	+	1.10776i
$843$	−6.76177	−	25.0692i	−0.232888	−	0.863430i
$844$	0.160565	−	0.220998i	0.00552687	−	0.00760708i
$845$	6.03977	−	1.96244i	0.207774	−	0.0675100i
$846$	−1.46736	+	1.64056i	−0.0504490	+	0.0564037i
$847$	−6.60427	+	9.27325i	−0.226925	+	0.318632i
$848$			12.0086i			0.412378i
$849$	−0.546640	+	10.7717i	−0.0187606	+	0.369682i
$850$	5.97862	+	4.34372i	0.205065	+	0.148988i
$851$	−8.33733	−	11.4753i	−0.285800	−	0.393370i
$852$	−0.485499	+	0.601575i	−0.0166329	+	0.0206096i
$853$	−6.11032	−	1.98536i	−0.209213	−	0.0679776i	0.202535	−	0.979275i	$-0.435082\pi$
$853$	−6.11032	−	1.98536i	−0.209213	−	0.0679776i	−0.411749	+	0.911297i	$0.635082\pi$
$854$	−14.0486	+	10.2069i	−0.480733	+	0.349273i
$855$	2.57346	+	11.9131i	0.0880106	+	0.407420i
$856$	13.5418	+	41.6775i	0.462851	+	1.42451i
$857$	8.39778			0.286863			0.143431	−	0.989660i	$-0.454186\pi$
$857$	8.39778			0.286863			0.143431	+	0.989660i	$0.454186\pi$
$858$	11.4309	+	17.3583i	0.390244	+	0.592603i
$859$	−19.5931			−0.668507			−0.334254	−	0.942483i	$-0.608484\pi$
$859$	−19.5931			−0.668507			−0.334254	+	0.942483i	$0.608484\pi$
$860$	−0.0382527	−	0.117730i	−0.00130441	−	0.00401455i
$861$	9.55407	+	14.6588i	0.325602	+	0.499571i
$862$	−14.8731	+	10.8060i	−0.506581	+	0.368052i
$863$	3.78150	+	1.22868i	0.128724	+	0.0418249i	0.372670	−	0.927964i	$-0.378442\pi$
$863$	3.78150	+	1.22868i	0.128724	+	0.0418249i	−0.243947	+	0.969789i	$0.578442\pi$
$864$	0.148800	+	0.910208i	0.00506228	+	0.0309659i
$865$	7.64644	+	10.5244i	0.259987	+	0.357841i
$866$	−32.0908	−	23.3153i	−1.09049	−	0.792287i
$867$	−18.5804	−	0.942917i	−0.631022	−	0.0320231i
$868$			0.265024i			0.00899550i
$869$	−16.8226	−	5.37815i	−0.570668	−	0.182441i
$870$	−8.20370	−	3.13354i	−0.278132	−	0.106237i
$871$	24.2141	−	7.86765i	0.820465	−	0.266585i
$872$	−11.4936	+	15.8197i	−0.389224	+	0.535721i
$873$	39.3258	+	4.00172i	1.33098	+	0.135438i
$874$	−5.06153	+	15.5778i	−0.171209	+	0.526927i
$875$	0.319822	−	0.984310i	0.0108119	−	0.0332758i
$876$	−0.429008	+	0.115714i	−0.0144948	+	0.00390961i
$877$	26.5878	−	36.5949i	0.897805	−	1.23572i	−0.0733576	−	0.997306i	$-0.523371\pi$
$877$	26.5878	−	36.5949i	0.897805	−	1.23572i	0.971163	−	0.238417i	$-0.0766286\pi$
$878$	37.5077	−	12.1870i	1.26582	−	0.411291i
$879$	−0.189301	+	0.495595i	−0.00638495	+	0.0167160i
$880$	12.3969	−	4.09293i	0.417899	−	0.137973i
$881$			3.39444i			0.114361i	0.998364	+	0.0571807i	$0.0182111\pi$
$881$			3.39444i			0.114361i	−0.998364	+	0.0571807i	$0.981789\pi$
$882$	−10.0749	+	22.8318i	−0.339241	+	0.768786i
$883$	0.871573	+	0.633235i	0.0293308	+	0.0213101i	0.602354	−	0.798229i	$-0.294230\pi$
$883$	0.871573	+	0.633235i	0.0293308	+	0.0213101i	−0.573023	+	0.819539i	$0.694230\pi$
$884$	−0.250509	−	0.344797i	−0.00842554	−	0.0115968i
$885$	−9.72706	−	7.85019i	−0.326971	−	0.263881i
$886$	−31.7446	−	10.3145i	−1.06648	−	0.346521i
$887$	−34.5798	+	25.1237i	−1.16107	+	0.843570i	−0.989913	−	0.141673i	$-0.954752\pi$
$887$	−34.5798	+	25.1237i	−1.16107	+	0.843570i	−0.171161	+	0.985243i	$0.554752\pi$
$888$	−20.4152	+	13.3059i	−0.685090	+	0.446517i
$889$	−2.23756	−	6.88650i	−0.0750454	−	0.230966i
$890$	16.4533			0.551517
$891$	−3.45692	−	29.6488i	−0.115811	−	0.993271i
$892$	0.684433			0.0229165
$893$	−0.656474	−	2.02042i	−0.0219680	−	0.0676107i
$894$	−1.45051	+	0.945390i	−0.0485123	+	0.0316186i
$895$	11.7650	−	8.54775i	0.393260	−	0.285720i
$896$	10.8669	+	3.53088i	0.363039	+	0.117958i
$897$	9.98727	+	8.06019i	0.333465	+	0.269122i
$898$	29.3753	+	40.4317i	0.980268	+	1.34922i
$899$	−23.8565	−	17.3328i	−0.795660	−	0.578080i
$900$	0.0380051	−	0.0861271i	0.00126684	−	0.00287090i
$901$			16.0684i			0.535316i
$902$	36.6204	−	26.8719i	1.21933	−	0.894736i
$903$	−2.52329	+	6.60605i	−0.0839697	+	0.219836i
$904$	−6.37169	+	2.07029i	−0.211919	+	0.0688567i
$905$	−13.7401	+	18.9116i	−0.456736	+	0.628643i
$906$	−31.8782	+	8.59833i	−1.05908	+	0.285660i
$907$	−10.4256	+	32.0867i	−0.346177	+	1.06542i	0.614774	+	0.788703i	$0.289247\pi$
$907$	−10.4256	+	32.0867i	−0.346177	+	1.06542i	−0.960951	+	0.276719i	$0.910753\pi$
$908$	0.215120	−	0.662072i	0.00713902	−	0.0219716i
$909$	29.6049	+	3.01254i	0.981933	+	0.0999197i
$910$	2.20098	−	3.02939i	0.0729619	−	0.100423i
$911$	3.15007	−	1.02352i	0.104366	−	0.0339107i	−0.256368	−	0.966579i	$-0.582526\pi$
$911$	3.15007	−	1.02352i	0.104366	−	0.0339107i	0.360735	+	0.932668i	$0.382526\pi$
$912$	25.8749	+	9.88334i	0.856804	+	0.327270i
$913$	8.93656	−	6.55761i	0.295757	−	0.217025i
$914$		−	25.9193i		−	0.857336i
$915$	20.6857	+	1.04976i	0.683849	+	0.0347040i
$916$	0.391789	+	0.284651i	0.0129451	+	0.00940514i
$917$	2.84272	+	3.91268i	0.0938750	+	0.129208i
$918$	−6.19527	−	37.8964i	−0.204474	−	1.25077i
$919$	−49.5965	−	16.1149i	−1.63604	−	0.531580i	−0.660389	−	0.750924i	$-0.729608\pi$
$919$	−49.5965	−	16.1149i	−1.63604	−	0.531580i	−0.975648	+	0.219344i	$0.929608\pi$
$920$	6.62583	−	4.81395i	0.218447	−	0.158711i
$921$	−15.5868	−	23.9148i	−0.513602	−	0.788019i
$922$	−4.98047	−	15.3283i	−0.164023	−	0.504811i
$923$	36.6763			1.20722
$924$	0.174598	+	0.0657458i	0.00574386	+	0.00216288i
$925$	4.93626			0.162303
$926$	1.20078	+	3.69562i	0.0394601	+	0.121446i
$927$	10.8572	+	50.2606i	0.356599	+	1.65077i
$928$	0.518901	−	0.377004i	0.0170338	−	0.0123758i
$929$	40.2870	+	13.0901i	1.32177	+	0.429471i	0.883104	−	0.469177i	$-0.155449\pi$
$929$	40.2870	+	13.0901i	1.32177	+	0.429471i	0.438671	+	0.898648i	$0.355449\pi$
$930$	−12.4547	+	15.4324i	−0.408405	+	0.506048i
$931$	−14.1578	−	19.4866i	−0.464005	−	0.638648i
$932$	−0.333720	−	0.242462i	−0.0109314	−	0.00794211i
$933$	−1.83465	+	36.1521i	−0.0600638	+	1.18357i
$934$		−	19.5013i		−	0.638101i
$935$	16.5879	−	5.47664i	0.542483	−	0.179105i
$936$	14.6992	−	16.4342i	0.480458	−	0.537169i
$937$	−22.6595	+	7.36250i	−0.740252	+	0.240522i	−0.654782	−	0.755818i	$-0.727239\pi$
$937$	−22.6595	+	7.36250i	−0.740252	+	0.240522i	−0.0854706	+	0.996341i	$0.527239\pi$
$938$	−8.42745	+	11.5994i	−0.275166	+	0.378734i
$939$	6.90536	+	25.6016i	0.225348	+	0.835475i
$940$	−0.00507061	+	0.0156057i	−0.000165385	+	0.000509003i
$941$	−6.19525	+	19.0670i	−0.201959	+	0.621567i	0.797865	+	0.602836i	$0.205963\pi$
$941$	−6.19525	+	19.0670i	−0.201959	+	0.621567i	−0.999825	+	0.0187310i	$0.994037\pi$
$942$	0.645525	+	2.39328i	0.0210323	+	0.0779772i
$943$	16.4861	−	22.6912i	0.536861	−	0.738926i
$944$	−27.0164	+	8.77814i	−0.879307	+	0.285704i
$945$	−4.77950	+	2.46525i	−0.155477	+	0.0801946i
$946$	17.4853	+	5.59002i	0.568498	+	0.181747i
$947$			14.8937i			0.483982i	0.970279	+	0.241991i	$0.0778004\pi$
$947$			14.8937i			0.483982i	−0.970279	+	0.241991i	$0.922200\pi$
$948$	−0.0146690	+	0.289056i	−0.000476428	+	0.00938810i
$949$	17.0550	+	12.3912i	0.553630	+	0.402235i
$950$	−3.35049	−	4.61155i	−0.108704	−	0.149618i
$951$	−0.529699	+	0.656342i	−0.0171767	+	0.0212833i
$952$	14.7763	+	4.80112i	0.478903	+	0.155605i
$953$	3.33667	−	2.42424i	0.108085	−	0.0785287i	−0.532430	−	0.846474i	$-0.678721\pi$
$953$	3.33667	−	2.42424i	0.108085	−	0.0785287i	0.640515	+	0.767946i	$0.278721\pi$
$954$	−12.5519	+	2.71145i	−0.406382	+	0.0877863i
$955$	1.34162	+	4.12909i	0.0434139	+	0.133614i
$956$	−0.749341			−0.0242354
$957$	−17.3371	+	11.4169i	−0.560428	+	0.369056i
$958$	42.5926			1.37610
$959$	2.55059	+	7.84992i	0.0823629	+	0.253487i
$960$	−7.68092	−	11.7848i	−0.247901	−	0.380354i
$961$	−28.7938	+	20.9199i	−0.928833	+	0.674836i
$962$	16.9854	+	5.51890i	0.547632	+	0.177937i
$963$	−39.8696	+	23.1951i	−1.28478	+	0.747451i
$964$	−0.248376	−	0.341861i	−0.00799966	−	0.0110106i
$965$	−17.5856	−	12.7767i	−0.566099	−	0.411295i
$966$	−7.21804	−	0.366301i	−0.232237	−	0.0117856i
$967$		−	22.2272i		−	0.714777i	−0.933956	−	0.357389i	$-0.883667\pi$
$967$		−	22.2272i		−	0.714777i	0.933956	−	0.357389i	$-0.116333\pi$
$968$	9.40575	−	29.9078i	0.302312	−	0.961274i
$969$	34.6225	+	13.2246i	1.11223	+	0.424836i
$970$	−17.5825	+	5.71290i	−0.564540	+	0.183430i
$971$	10.9629	−	15.0892i	0.351817	−	0.484235i	−0.596029	−	0.802963i	$-0.703256\pi$
$971$	10.9629	−	15.0892i	0.351817	−	0.484235i	0.947846	+	0.318728i	$0.103256\pi$
$972$	−0.455207	+	0.179074i	−0.0146008	+	0.00574381i
$973$	2.93465	−	9.03193i	0.0940806	−	0.289550i
$974$	−18.5485	+	57.0863i	−0.594331	+	1.82916i
$975$	−4.31224	+	1.16311i	−0.138102	+	0.0372495i
$976$	27.6676	−	38.0811i	0.885617	−	1.21895i
$977$	29.4662	−	9.57415i	0.942708	−	0.306304i	0.202959	−	0.979187i	$-0.434944\pi$
$977$	29.4662	−	9.57415i	0.942708	−	0.306304i	0.739749	+	0.672883i	$0.234944\pi$
$978$	0.427083	−	1.11812i	0.0136566	−	0.0357535i
$979$	22.7115	−	31.5727i	0.725862	−	1.00907i
$980$			0.186047i			0.00594304i
$981$	−18.8302	−	8.30918i	−0.601203	−	0.265292i
$982$	−14.0719	−	10.2238i	−0.449052	−	0.326255i
$983$	−11.6094	−	15.9789i	−0.370281	−	0.509649i	0.582696	−	0.812690i	$-0.301998\pi$
$983$	−11.6094	−	15.9789i	−0.370281	−	0.509649i	−0.952977	+	0.303042i	$0.901998\pi$
$984$	−37.4977	−	30.2624i	−1.19538	−	0.964731i
$985$	−20.7274	−	6.73474i	−0.660430	−	0.214587i
$986$	−21.6044	+	15.6965i	−0.688025	+	0.499879i
$987$	0.785302	−	0.511831i	0.0249964	−	0.0162918i
$988$	0.101586	+	0.312649i	0.00323188	+	0.00994670i
$989$	11.3355			0.360447
$990$	7.07720	+	12.0336i	0.224928	+	0.382452i
$991$	−4.29142			−0.136321			−0.0681607	−	0.997674i	$-0.521713\pi$
$991$	−4.29142			−0.136321			−0.0681607	+	0.997674i	$0.521713\pi$
$992$	−0.447586	−	1.37753i	−0.0142109	−	0.0437366i
$993$	−20.4089	+	13.3018i	−0.647656	+	0.422119i
$994$	−16.7093	+	12.1400i	−0.529987	+	0.385058i
$995$	9.07527	+	2.94873i	0.287705	+	0.0934812i
$996$	−0.141355	−	0.114080i	−0.00447901	−	0.00361477i
$997$	−14.3142	−	19.7018i	−0.453334	−	0.623961i	0.519775	−	0.854303i	$-0.326016\pi$
$997$	−14.3142	−	19.7018i	−0.453334	−	0.623961i	−0.973110	+	0.230342i	$0.926016\pi$
$998$	−5.74229	−	4.17202i	−0.181769	−	0.132063i
$999$	−18.2268	−	18.0467i	−0.576671	−	0.570971i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.p.a.116.2	yes	16
3.2	odd	2	inner	165.2.p.a.116.3	yes	16
5.2	odd	4		825.2.bs.e.149.4		16
5.3	odd	4		825.2.bs.f.149.1		16
5.4	even	2		825.2.bi.d.776.3		16
11.2	odd	10	inner	165.2.p.a.101.3	yes	16
15.2	even	4		825.2.bs.f.149.2		16
15.8	even	4		825.2.bs.e.149.3		16
15.14	odd	2		825.2.bi.d.776.2		16
33.2	even	10	inner	165.2.p.a.101.2	✓	16
55.2	even	20		825.2.bs.e.299.3		16
55.13	even	20		825.2.bs.f.299.2		16
55.24	odd	10		825.2.bi.d.101.2		16
165.2	odd	20		825.2.bs.f.299.1		16
165.68	odd	20		825.2.bs.e.299.4		16
165.134	even	10		825.2.bi.d.101.3		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.p.a.101.2	✓	16	33.2	even	10	inner
165.2.p.a.101.3	yes	16	11.2	odd	10	inner
165.2.p.a.116.2	yes	16	1.1	even	1	trivial
165.2.p.a.116.3	yes	16	3.2	odd	2	inner
825.2.bi.d.101.2		16	55.24	odd	10
825.2.bi.d.101.3		16	165.134	even	10
825.2.bi.d.776.2		16	15.14	odd	2
825.2.bi.d.776.3		16	5.4	even	2
825.2.bs.e.149.3		16	15.8	even	4
825.2.bs.e.149.4		16	5.2	odd	4
825.2.bs.e.299.3		16	55.2	even	20
825.2.bs.e.299.4		16	165.68	odd	20
825.2.bs.f.149.1		16	5.3	odd	4
825.2.bs.f.149.2		16	15.2	even	4
825.2.bs.f.299.1		16	165.2	odd	20
825.2.bs.f.299.2		16	55.13	even	20

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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.p (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.433574 - 1.33440i) q^{2} +(1.45106 - 0.945746i) q^{3} +(0.0253869 - 0.0184446i) q^{4} +(-0.951057 - 0.309017i) q^{5} +(-1.89115 - 1.52624i) q^{6} +(0.608337 + 0.837304i) q^{7} +(-2.30584 - 1.67529i) q^{8} +(1.21113 - 2.74466i) q^{9} +O(q^{10})\)	\(q+(-0.433574 - 1.33440i) q^{2} +(1.45106 - 0.945746i) q^{3} +(0.0253869 - 0.0184446i) q^{4} +(-0.951057 - 0.309017i) q^{5} +(-1.89115 - 1.52624i) q^{6} +(0.608337 + 0.837304i) q^{7} +(-2.30584 - 1.67529i) q^{8} +(1.21113 - 2.74466i) q^{9} +1.40308i q^{10} +(2.69240 + 1.93675i) q^{11} +(0.0193938 - 0.0507737i) q^{12} +(-2.45244 + 0.796845i) q^{13} +(0.853543 - 1.17480i) q^{14} +(-1.67229 + 0.451057i) q^{15} +(-1.21637 + 3.74360i) q^{16} +(-1.62759 + 5.00920i) q^{17} +(-4.18760 - 0.426123i) q^{18} +(2.38796 - 3.28674i) q^{19} +(-0.0298440 + 0.00969692i) q^{20} +(1.67461 + 0.639643i) q^{21} +(1.41705 - 4.43247i) q^{22} -2.87350i q^{23} +(-4.93031 - 0.250204i) q^{24} +(0.809017 + 0.587785i) q^{25} +(2.12663 + 2.92705i) q^{26} +(-0.838333 - 5.12808i) q^{27} +(0.0308875 + 0.0100360i) q^{28} +(-2.92347 + 2.12403i) q^{29} +(1.32695 + 2.03594i) q^{30} +(2.52168 + 7.76094i) q^{31} -0.177495 q^{32} +(5.73849 + 0.264007i) q^{33} +7.38998 q^{34} +(-0.319822 - 0.984310i) q^{35} +(-0.0198775 - 0.0920172i) q^{36} +(3.99351 - 2.90146i) q^{37} +(-5.42120 - 1.76145i) q^{38} +(-2.80501 + 3.47565i) q^{39} +(1.67529 + 2.30584i) q^{40} +(7.89671 + 5.73729i) q^{41} +(0.127476 - 2.51194i) q^{42} +3.94483i q^{43} +(0.104074 - 0.000492348i) q^{44} +(-2.00000 + 2.23607i) q^{45} +(-3.83440 + 1.24587i) q^{46} +(0.307359 - 0.423043i) q^{47} +(1.77547 + 6.58255i) q^{48} +(1.83211 - 5.63867i) q^{49} +(0.433574 - 1.33440i) q^{50} +(2.37571 + 8.80792i) q^{51} +(-0.0475622 + 0.0654637i) q^{52} +(2.90146 - 0.942741i) q^{53} +(-6.47945 + 3.34208i) q^{54} +(-1.96213 - 2.67395i) q^{55} -2.94983i q^{56} +(0.356640 - 7.02765i) q^{57} +(4.10185 + 2.98017i) q^{58} +(4.24185 + 5.83841i) q^{59} +(-0.0341346 + 0.0422956i) q^{60} +(-11.3730 - 3.69531i) q^{61} +(9.26289 - 6.72989i) q^{62} +(3.03489 - 0.655595i) q^{63} +(2.50970 + 7.72405i) q^{64} +2.57865 q^{65} +(-2.13577 - 7.77193i) q^{66} -9.87350 q^{67} +(0.0510735 + 0.157188i) q^{68} +(-2.71760 - 4.16960i) q^{69} +(-1.17480 + 0.853543i) q^{70} +(-13.5270 - 4.39518i) q^{71} +(-7.39079 + 4.29976i) q^{72} +(-4.80531 - 6.61395i) q^{73} +(-5.60320 - 4.07096i) q^{74} +(1.72982 + 0.0877853i) q^{75} -0.127485i q^{76} +(0.0162385 + 3.43255i) q^{77} +(5.85410 + 2.23607i) q^{78} +(-5.06448 + 1.64555i) q^{79} +(2.31367 - 3.18450i) q^{80} +(-6.06633 - 6.64828i) q^{81} +(4.23206 - 13.0249i) q^{82} +(1.03276 - 3.17850i) q^{83} +(0.0543110 - 0.0146490i) q^{84} +(3.09586 - 4.26108i) q^{85} +(5.26400 - 1.71038i) q^{86} +(-2.23333 + 5.84694i) q^{87} +(-2.96363 - 8.97639i) q^{88} -11.7266i q^{89} +(3.85097 + 1.69931i) q^{90} +(-2.15911 - 1.56869i) q^{91} +(-0.0530006 - 0.0729490i) q^{92} +(10.9990 + 8.87669i) q^{93} +(-0.697773 - 0.226720i) q^{94} +(-3.28674 + 2.38796i) q^{95} +(-0.257555 + 0.167865i) q^{96} +(4.07170 + 12.5314i) q^{97} -8.31862 q^{98} +(8.57656 - 5.04407i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9}+O(q^{10}) \) 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9	\( 16 q + 8 q^{3} - 12 q^{4} + 10 q^{6} - 10 q^{7} - 20 q^{9} + 4 q^{12} - 12 q^{15} - 16 q^{16} + 20 q^{18} + 40 q^{19} + 30 q^{22} - 70 q^{24} + 4 q^{25} - 4 q^{27} - 110 q^{28} - 10 q^{30} + 10 q^{31} + 12 q^{33} + 100 q^{34} + 40 q^{36} - 2 q^{37} - 10 q^{39} + 50 q^{40} - 10 q^{42} - 32 q^{45} - 40 q^{46} + 22 q^{48} + 42 q^{49} - 40 q^{52} + 6 q^{55} + 40 q^{57} - 20 q^{58} + 14 q^{60} - 50 q^{61} + 70 q^{63} + 42 q^{64} + 30 q^{66} - 108 q^{67} - 12 q^{69} + 40 q^{70} - 40 q^{72} - 50 q^{73} + 12 q^{75} + 40 q^{78} - 40 q^{79} - 4 q^{81} + 50 q^{82} - 150 q^{84} - 20 q^{85} + 70 q^{88} - 20 q^{90} + 10 q^{91} - 50 q^{94} + 40 q^{96} - 58 q^{97} + 12 q^{99}+O(q^{100}) \) 16 * q + 8 * q^3 - 12 * q^4 + 10 * q^6 - 10 * q^7 - 20 * q^9 + 4 * q^12 - 12 * q^15 - 16 * q^16 + 20 * q^18 + 40 * q^19 + 30 * q^22 - 70 * q^24 + 4 * q^25 - 4 * q^27 - 110 * q^28 - 10 * q^30 + 10 * q^31 + 12 * q^33 + 100 * q^34 + 40 * q^36 - 2 * q^37 - 10 * q^39 + 50 * q^40 - 10 * q^42 - 32 * q^45 - 40 * q^46 + 22 * q^48 + 42 * q^49 - 40 * q^52 + 6 * q^55 + 40 * q^57 - 20 * q^58 + 14 * q^60 - 50 * q^61 + 70 * q^63 + 42 * q^64 + 30 * q^66 - 108 * q^67 - 12 * q^69 + 40 * q^70 - 40 * q^72 - 50 * q^73 + 12 * q^75 + 40 * q^78 - 40 * q^79 - 4 * q^81 + 50 * q^82 - 150 * q^84 - 20 * q^85 + 70 * q^88 - 20 * q^90 + 10 * q^91 - 50 * q^94 + 40 * q^96 - 58 * q^97 + 12 * q^99

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