LMFDB - Embedded newform 546.2.bu.a.197.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [546,2,Mod(71,546)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(546, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 0, 5]))

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

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

chi := DirichletCharacter("546.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 546 = 2 \cdot 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	546.bu (of order $12$, 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:	$4.35983195036$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			197.5
Character	$\chi$	$=$	546.197
Dual form			546.2.bu.a.449.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.258819 + 0.965926i) q^{2} +(0.957713 - 1.44319i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.0544192 - 0.0544192i) q^{5} +(1.14614 + 1.29860i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.16557 - 2.76432i) q^{9} +O(q^{10})$	\(q+(-0.258819 + 0.965926i) q^{2} +(0.957713 - 1.44319i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.0544192 - 0.0544192i) q^{5} +(1.14614 + 1.29860i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.16557 - 2.76432i) q^{9} +(0.0666496 - 0.0384802i) q^{10} +(-1.15228 - 0.308753i) q^{11} +(-1.55100 + 0.770979i) q^{12} +(3.59913 + 0.215073i) q^{13} +1.00000i q^{14} +(-0.130655 + 0.0264190i) q^{15} +(0.500000 + 0.866025i) q^{16} +(1.80692 - 3.12967i) q^{17} +(2.97180 - 0.410397i) q^{18} +(-1.47467 - 5.50355i) q^{19} +(0.0199188 + 0.0743380i) q^{20} +(0.551556 - 1.64188i) q^{21} +(0.596464 - 1.03311i) q^{22} +(3.42603 + 5.93405i) q^{23} +(-0.343281 - 1.69769i) q^{24} -4.99408i q^{25} +(-1.13927 + 3.42083i) q^{26} +(-5.10570 - 0.965288i) q^{27} +(-0.965926 - 0.258819i) q^{28} +(-6.59867 + 3.80975i) q^{29} +(0.00829718 - 0.133041i) q^{30} +(5.06450 - 5.06450i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-1.54914 + 1.36726i) q^{33} +(2.55536 + 2.55536i) q^{34} +(-0.0666496 - 0.0384802i) q^{35} +(-0.372745 + 2.97675i) q^{36} +(1.38512 - 5.16933i) q^{37} +5.69769 q^{38} +(3.75733 - 4.98824i) q^{39} -0.0769603 q^{40} +(1.86480 - 6.95952i) q^{41} +(1.44319 + 0.957713i) q^{42} +(6.82732 + 3.94176i) q^{43} +(0.843528 + 0.843528i) q^{44} +(-0.0870024 + 0.213861i) q^{45} +(-6.61857 + 1.77344i) q^{46} +(-1.61968 + 1.61968i) q^{47} +(1.72869 + 0.107811i) q^{48} +(0.866025 - 0.500000i) q^{49} +(4.82391 + 1.29256i) q^{50} +(-2.78619 - 5.60504i) q^{51} +(-3.00940 - 1.98582i) q^{52} +5.55848i q^{53} +(2.25385 - 4.68190i) q^{54} +(0.0459041 + 0.0795082i) q^{55} +(0.500000 - 0.866025i) q^{56} +(-9.35495 - 3.14260i) q^{57} +(-1.97207 - 7.35986i) q^{58} +(0.300433 + 1.12123i) q^{59} +(0.126360 + 0.0424479i) q^{60} +(-7.17744 + 12.4317i) q^{61} +(3.58114 + 6.20273i) q^{62} +(-1.84131 - 2.36845i) q^{63} -1.00000i q^{64} +(-0.184158 - 0.207566i) q^{65} +(-0.919723 - 1.85023i) q^{66} +(-1.81688 - 0.486830i) q^{67} +(-3.12967 + 1.80692i) q^{68} +(11.8451 + 0.738728i) q^{69} +(0.0544192 - 0.0544192i) q^{70} +(-1.25015 + 0.334976i) q^{71} +(-2.77885 - 1.13048i) q^{72} +(3.51723 + 3.51723i) q^{73} +(4.63470 + 2.67584i) q^{74} +(-7.20738 - 4.78289i) q^{75} +(-1.47467 + 5.50355i) q^{76} -1.19293 q^{77} +(3.84580 + 4.92035i) q^{78} +4.90304 q^{79} +(0.0199188 - 0.0743380i) q^{80} +(-6.28289 + 6.44401i) q^{81} +(6.23974 + 3.60251i) q^{82} +(11.8882 + 11.8882i) q^{83} +(-1.29860 + 1.14614i) q^{84} +(-0.268645 + 0.0719832i) q^{85} +(-5.57448 + 5.57448i) q^{86} +(-0.821466 + 13.1718i) q^{87} +(-1.03311 + 0.596464i) q^{88} +(-10.8438 - 2.90560i) q^{89} +(-0.184056 - 0.139389i) q^{90} +(3.53216 - 0.723780i) q^{91} -6.85205i q^{92} +(-2.45868 - 12.1594i) q^{93} +(-1.14529 - 1.98369i) q^{94} +(-0.219248 + 0.379749i) q^{95} +(-0.551556 + 1.64188i) q^{96} +(3.05737 + 11.4102i) q^{97} +(0.258819 + 0.965926i) q^{98} +(0.489574 + 3.54514i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 8 q^{6} + 24 q^{9}+O(q^{10}) $ 56 * q - 8 * q^6 + 24 * q^9	$ 56 q - 8 q^{6} + 24 q^{9} + 24 q^{10} - 8 q^{11} + 24 q^{13} - 4 q^{15} + 28 q^{16} + 4 q^{17} + 8 q^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 16 q^{79} + 12 q^{81} + 4 q^{83} - 4 q^{84} + 32 q^{85} + 16 q^{86} + 144 q^{87} - 88 q^{89} + 8 q^{90} - 8 q^{91} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 q^{99}+O(q^{100}) $ 56 * q - 8 * q^6 + 24 * q^9 + 24 * q^10 - 8 * q^11 + 24 * q^13 - 4 * q^15 + 28 * q^16 + 4 * q^17 + 8 * q^19 + 4 * q^21 + 8 * q^23 + 8 * q^24 + 4 * q^26 - 24 * q^27 - 16 * q^30 - 8 * q^31 - 32 * q^33 - 24 * q^34 - 24 * q^35 - 12 * q^36 - 8 * q^37 - 60 * q^39 + 28 * q^41 - 8 * q^44 - 40 * q^45 - 20 * q^46 - 64 * q^50 + 8 * q^54 + 8 * q^55 + 28 * q^56 + 40 * q^57 + 4 * q^58 + 8 * q^59 + 4 * q^60 + 8 * q^61 + 32 * q^62 + 24 * q^65 + 32 * q^66 - 56 * q^69 + 112 * q^71 + 16 * q^72 + 8 * q^73 - 48 * q^74 - 40 * q^75 + 8 * q^76 - 8 * q^78 + 16 * q^79 + 12 * q^81 + 4 * q^83 - 4 * q^84 + 32 * q^85 + 16 * q^86 + 144 * q^87 - 88 * q^89 + 8 * q^90 - 8 * q^91 - 76 * q^93 - 8 * q^94 + 48 * q^95 - 4 * q^96 - 64 * q^97 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/546\mathbb{Z}\right)^\times$.

$n$	$157$	$365$	$379$
$\chi(n)$	$1$	$-1$	$e\left(\frac{1}{12}\right)$

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 $

$2$	−0.258819	+	0.965926i	−0.183013	+	0.683013i
$2$	−0.258819	+	0.965926i	−0.183013	+	0.683013i
$3$	0.957713	−	1.44319i	0.552936	−	0.833224i
$3$	0.957713	−	1.44319i	0.552936	−	0.833224i
$4$	−0.866025	−	0.500000i	−0.433013	−	0.250000i
$5$	−0.0544192	−	0.0544192i	−0.0243370	−	0.0243370i	0.694834	−	0.719171i	$-0.255478\pi$
$5$	−0.0544192	−	0.0544192i	−0.0243370	−	0.0243370i	−0.719171	+	0.694834i	$0.755478\pi$
$6$	1.14614	+	1.29860i	0.467908	+	0.530153i
$7$	0.965926	−	0.258819i	0.365086	−	0.0978244i
$7$	0.965926	−	0.258819i	0.365086	−	0.0978244i
$8$	0.707107	−	0.707107i	0.250000	−	0.250000i
$9$	−1.16557	−	2.76432i	−0.388523	−	0.921439i
$10$	0.0666496	−	0.0384802i	0.0210765	−	0.0121685i
$11$	−1.15228	−	0.308753i	−0.347426	−	0.0930924i	0.0808863	−	0.996723i	$-0.474225\pi$
$11$	−1.15228	−	0.308753i	−0.347426	−	0.0930924i	−0.428312	+	0.903631i	$0.640892\pi$
$12$	−1.55100	+	0.770979i	−0.447734	+	0.222562i
$13$	3.59913	+	0.215073i	0.998219	+	0.0596504i
$13$	3.59913	+	0.215073i	0.998219	+	0.0596504i
$14$			1.00000i			0.267261i
$15$	−0.130655	+	0.0264190i	−0.0337350	+	0.00682136i
$16$	0.500000	+	0.866025i	0.125000	+	0.216506i
$17$	1.80692	−	3.12967i	0.438241	−	0.759056i	−0.559313	−	0.828957i	$-0.688935\pi$
$17$	1.80692	−	3.12967i	0.438241	−	0.759056i	0.997554	+	0.0699005i	$0.0222682\pi$
$18$	2.97180	−	0.410397i	0.700459	−	0.0967314i
$19$	−1.47467	−	5.50355i	−0.338313	−	1.26260i	−0.900233	−	0.435409i	$-0.856604\pi$
$19$	−1.47467	−	5.50355i	−0.338313	−	1.26260i	0.561920	−	0.827191i	$-0.310063\pi$
$20$	0.0199188	+	0.0743380i	0.00445398	+	0.0166225i
$21$	0.551556	−	1.64188i	0.120359	−	0.358289i
$22$	0.596464	−	1.03311i	0.127167	−	0.220259i
$23$	3.42603	+	5.93405i	0.714376	+	1.23733i	0.963200	+	0.268786i	$0.0866225\pi$
$23$	3.42603	+	5.93405i	0.714376	+	1.23733i	−0.248824	+	0.968549i	$0.580044\pi$
$24$	−0.343281	−	1.69769i	−0.0700719	−	0.346540i
$25$		−	4.99408i		−	0.998815i
$26$	−1.13927	+	3.42083i	−0.223429	+	0.670880i
$27$	−5.10570	−	0.965288i	−0.982593	−	0.185770i
$28$	−0.965926	−	0.258819i	−0.182543	−	0.0489122i
$29$	−6.59867	+	3.80975i	−1.22534	+	0.707452i	−0.966052	−	0.258347i	$-0.916822\pi$
$29$	−6.59867	+	3.80975i	−1.22534	+	0.707452i	−0.259291	+	0.965799i	$0.583489\pi$
$30$	0.00829718	−	0.133041i	0.00151485	−	0.0242898i
$31$	5.06450	−	5.06450i	0.909612	−	0.909612i	−0.0866289	−	0.996241i	$-0.527609\pi$
$31$	5.06450	−	5.06450i	0.909612	−	0.909612i	0.996241	+	0.0866289i	$0.0276094\pi$
$32$	−0.965926	+	0.258819i	−0.170753	+	0.0457532i
$33$	−1.54914	+	1.36726i	−0.269671	+	0.238009i
$34$	2.55536	+	2.55536i	0.438241	+	0.438241i
$35$	−0.0666496	−	0.0384802i	−0.0112658	−	0.00650433i
$36$	−0.372745	+	2.97675i	−0.0621241	+	0.496126i
$37$	1.38512	−	5.16933i	0.227712	−	0.849833i	−0.753588	−	0.657347i	$-0.771678\pi$
$37$	1.38512	−	5.16933i	0.227712	−	0.849833i	0.981300	−	0.192486i	$-0.0616548\pi$
$38$	5.69769			0.924287
$39$	3.75733	−	4.98824i	0.601654	−	0.798757i
$40$	−0.0769603			−0.0121685
$41$	1.86480	−	6.95952i	0.291232	−	1.08689i	−0.652931	−	0.757417i	$-0.726461\pi$
$41$	1.86480	−	6.95952i	0.291232	−	1.08689i	0.944164	−	0.329477i	$-0.106872\pi$
$42$	1.44319	+	0.957713i	0.222688	+	0.147778i
$43$	6.82732	+	3.94176i	1.04116	+	0.601112i	0.920161	−	0.391541i	$-0.128058\pi$
$43$	6.82732	+	3.94176i	1.04116	+	0.601112i	0.120996	+	0.992653i	$0.461391\pi$
$44$	0.843528	+	0.843528i	0.127167	+	0.127167i
$45$	−0.0870024	+	0.213861i	−0.0129696	+	0.0318805i
$46$	−6.61857	+	1.77344i	−0.975855	+	0.261480i
$47$	−1.61968	+	1.61968i	−0.236255	+	0.236255i	−0.815297	−	0.579043i	$-0.803426\pi$
$47$	−1.61968	+	1.61968i	−0.236255	+	0.236255i	0.579043	+	0.815297i	$0.303426\pi$
$48$	1.72869	+	0.107811i	0.249515	+	0.0155612i
$49$	0.866025	−	0.500000i	0.123718	−	0.0714286i
$50$	4.82391	+	1.29256i	0.682204	+	0.182796i
$51$	−2.78619	−	5.60504i	−0.390144	−	0.784863i
$52$	−3.00940	−	1.98582i	−0.417329	−	0.275384i
$53$			5.55848i			0.763516i	0.924262	+	0.381758i	$0.124681\pi$
$53$			5.55848i			0.763516i	−0.924262	+	0.381758i	$0.875319\pi$
$54$	2.25385	−	4.68190i	0.306710	−	0.637125i
$55$	0.0459041	+	0.0795082i	0.00618971	+	0.0107209i
$56$	0.500000	−	0.866025i	0.0668153	−	0.115728i
$57$	−9.35495	−	3.14260i	−1.23909	−	0.416247i
$58$	−1.97207	−	7.35986i	−0.258945	−	0.966397i
$59$	0.300433	+	1.12123i	0.0391130	+	0.145972i	0.982721	−	0.185093i	$-0.0592587\pi$
$59$	0.300433	+	1.12123i	0.0391130	+	0.145972i	−0.943608	+	0.331065i	$0.892592\pi$
$60$	0.126360	+	0.0424479i	0.0163130	+	0.00548000i
$61$	−7.17744	+	12.4317i	−0.918977	+	1.59171i	−0.118005	+	0.993013i	$0.537650\pi$
$61$	−7.17744	+	12.4317i	−0.918977	+	1.59171i	−0.800972	+	0.598702i	$0.795683\pi$
$62$	3.58114	+	6.20273i	0.454806	+	0.787747i
$63$	−1.84131	−	2.36845i	−0.231984	−	0.298397i
$64$		−	1.00000i		−	0.125000i
$65$	−0.184158	−	0.207566i	−0.0228419	−	0.0257454i
$66$	−0.919723	−	1.85023i	−0.113210	−	0.227747i
$67$	−1.81688	−	0.486830i	−0.221967	−	0.0594758i	0.146122	−	0.989267i	$-0.453321\pi$
$67$	−1.81688	−	0.486830i	−0.221967	−	0.0594758i	−0.368088	+	0.929791i	$0.619988\pi$
$68$	−3.12967	+	1.80692i	−0.379528	+	0.219121i
$69$	11.8451	+	0.738728i	1.42598	+	0.0889324i
$70$	0.0544192	−	0.0544192i	0.00650433	−	0.00650433i
$71$	−1.25015	+	0.334976i	−0.148365	+	0.0397543i	−0.332237	−	0.943196i	$-0.607803\pi$
$71$	−1.25015	+	0.334976i	−0.148365	+	0.0397543i	0.183872	+	0.982950i	$0.441137\pi$
$72$	−2.77885	−	1.13048i	−0.327491	−	0.133229i
$73$	3.51723	+	3.51723i	0.411661	+	0.411661i	0.882317	−	0.470656i	$-0.155983\pi$
$73$	3.51723	+	3.51723i	0.411661	+	0.411661i	−0.470656	+	0.882317i	$0.655983\pi$
$74$	4.63470	+	2.67584i	0.538772	+	0.311060i
$75$	−7.20738	−	4.78289i	−0.832237	−	0.552281i
$76$	−1.47467	+	5.50355i	−0.169156	+	0.631300i
$77$	−1.19293			−0.135947
$78$	3.84580	+	4.92035i	0.435451	+	0.557120i
$79$	4.90304			0.551635			0.275817	−	0.961210i	$-0.411051\pi$
$79$	4.90304			0.551635			0.275817	+	0.961210i	$0.411051\pi$
$80$	0.0199188	−	0.0743380i	0.00222699	−	0.00831124i
$81$	−6.28289	+	6.44401i	−0.698099	+	0.716001i
$82$	6.23974	+	3.60251i	0.689063	+	0.397831i
$83$	11.8882	+	11.8882i	1.30490	+	1.30490i	0.925049	+	0.379848i	$0.124024\pi$
$83$	11.8882	+	11.8882i	1.30490	+	1.30490i	0.379848	+	0.925049i	$0.375976\pi$
$84$	−1.29860	+	1.14614i	−0.141689	+	0.125054i
$85$	−0.268645	+	0.0719832i	−0.0291386	+	0.00780767i
$86$	−5.57448	+	5.57448i	−0.601112	+	0.601112i
$87$	−0.821466	+	13.1718i	−0.0880704	+	1.41216i
$88$	−1.03311	+	0.596464i	−0.110130	+	0.0635833i
$89$	−10.8438	−	2.90560i	−1.14944	−	0.307992i	−0.366701	−	0.930339i	$-0.619513\pi$
$89$	−10.8438	−	2.90560i	−1.14944	−	0.307992i	−0.782742	+	0.622346i	$0.786180\pi$
$90$	−0.184056	−	0.139389i	−0.0194012	−	0.0146929i
$91$	3.53216	−	0.723780i	0.370271	−	0.0758727i
$92$		−	6.85205i		−	0.714376i
$93$	−2.45868	−	12.1594i	−0.254953	−	1.26087i
$94$	−1.14529	−	1.98369i	−0.118127	−	0.204603i
$95$	−0.219248	+	0.379749i	−0.0224944	+	0.0389614i
$96$	−0.551556	+	1.64188i	−0.0562930	+	0.167574i
$97$	3.05737	+	11.4102i	0.310428	+	1.15853i	0.928171	+	0.372154i	$0.121381\pi$
$97$	3.05737	+	11.4102i	0.310428	+	1.15853i	−0.617742	+	0.786381i	$0.711953\pi$
$98$	0.258819	+	0.965926i	0.0261447	+	0.0975732i
$99$	0.489574	+	3.54514i	0.0492041	+	0.356300i
$100$	−2.49704	+	4.32500i	−0.249704	+	0.432500i
$101$	3.94287	+	6.82924i	0.392330	+	0.679535i	0.992756	−	0.120145i	$-0.0383359\pi$
$101$	3.94287	+	6.82924i	0.392330	+	0.679535i	−0.600427	+	0.799680i	$0.705003\pi$
$102$	6.13517	−	1.24056i	0.607473	−	0.122834i
$103$			15.3436i			1.51185i	0.654660	+	0.755924i	$0.272812\pi$
$103$			15.3436i			1.51185i	−0.654660	+	0.755924i	$0.727188\pi$
$104$	2.69705	−	2.39289i	0.264467	−	0.234642i
$105$	−0.119365	+	0.0593348i	−0.0116489	+	0.00579048i
$106$	−5.36908	−	1.43864i	−0.521491	−	0.139733i
$107$	3.11250	−	1.79700i	0.300896	−	0.173723i	−0.341949	−	0.939718i	$-0.611087\pi$
$107$	3.11250	−	1.79700i	0.300896	−	0.173723i	0.642845	+	0.765996i	$0.277754\pi$
$108$	3.93903	+	3.38882i	0.379033	+	0.326089i
$109$	7.20402	−	7.20402i	0.690020	−	0.690020i	−0.272216	−	0.962236i	$-0.587756\pi$
$109$	7.20402	−	7.20402i	0.690020	−	0.690020i	0.962236	+	0.272216i	$0.0877565\pi$
$110$	−0.0886799	+	0.0237617i	−0.00845530	+	0.00226559i
$111$	−6.13376	−	6.94972i	−0.582191	−	0.659638i
$112$	0.707107	+	0.707107i	0.0668153	+	0.0668153i
$113$	−16.1888	−	9.34662i	−1.52292	−	0.879256i	−0.999633	−	0.0270972i	$-0.991374\pi$
$113$	−16.1888	−	9.34662i	−1.52292	−	0.879256i	−0.523283	−	0.852159i	$-0.675293\pi$
$114$	5.45675	−	8.22283i	0.511072	−	0.770138i
$115$	0.136485	−	0.509367i	0.0127273	−	0.0474988i
$116$	7.61949			0.707452
$117$	−3.60051	−	10.1998i	−0.332867	−	0.942974i
$118$	−1.16078			−0.106859
$119$	0.935328	−	3.49069i	0.0857414	−	0.319991i
$120$	−0.0737059	+	0.111068i	−0.00672840	+	0.0101391i
$121$	−8.29386	−	4.78846i	−0.753987	−	0.435315i
$122$	−10.1504	−	10.1504i	−0.918977	−	0.918977i
$123$	−8.25794	−	9.35647i	−0.744593	−	0.843645i
$124$	−6.91824	+	1.85374i	−0.621276	+	0.166471i
$125$	−0.543869	+	0.543869i	−0.0486451	+	0.0486451i
$126$	2.76432	−	1.16557i	0.246265	−	0.103837i
$127$	−12.5260	+	7.23187i	−1.11150	+	0.641725i	−0.939217	−	0.343323i	$-0.888447\pi$
$127$	−12.5260	+	7.23187i	−1.11150	+	0.641725i	−0.172282	+	0.985048i	$0.555114\pi$
$128$	0.965926	+	0.258819i	0.0853766	+	0.0228766i
$129$	12.2273	−	6.07802i	1.07655	−	0.535140i
$130$	0.248157	−	0.124161i	0.0217648	−	0.0108896i
$131$			17.8207i			1.55700i	0.627645	+	0.778499i	$0.284019\pi$
$131$			17.8207i			1.55700i	−0.627645	+	0.778499i	$0.715981\pi$
$132$	2.02523	−	0.409510i	0.176273	−	0.0356432i
$133$	−2.84884	−	4.93434i	−0.247026	−	0.427862i
$134$	0.940484	−	1.62897i	0.0812454	−	0.140721i
$135$	0.225318	+	0.330378i	0.0193923	+	0.0284344i
$136$	−0.935328	−	3.49069i	−0.0802037	−	0.299324i
$137$	−1.75686	−	6.55671i	−0.150099	−	0.560177i	−0.999475	−	0.0323895i	$-0.989688\pi$
$137$	−1.75686	−	6.55671i	−0.150099	−	0.560177i	0.849376	−	0.527788i	$-0.176978\pi$
$138$	−3.77929	+	11.2503i	−0.321715	+	0.957687i
$139$	−3.36446	+	5.82741i	−0.285369	+	0.494274i	−0.972699	−	0.232072i	$-0.925450\pi$
$139$	−3.36446	+	5.82741i	−0.285369	+	0.494274i	0.687329	+	0.726346i	$0.258783\pi$
$140$	0.0384802	+	0.0666496i	0.00325217	+	0.00563292i
$141$	0.786310	+	3.88869i	0.0662193	+	0.327487i
$142$		−	1.29425i		−	0.108611i
$143$	−4.08081	−	1.35907i	−0.341254	−	0.113651i
$144$	1.81118	−	2.39157i	0.150932	−	0.199298i
$145$	0.566417	+	0.151771i	0.0470384	+	0.0126039i
$146$	−4.30771	+	2.48706i	−0.356509	+	0.205830i
$147$	0.107811	−	1.72869i	0.00889212	−	0.142580i
$148$	−3.78421	+	3.78421i	−0.311060	+	0.311060i
$149$	−9.21801	+	2.46996i	−0.755169	+	0.202347i	−0.615810	−	0.787895i	$-0.711171\pi$
$149$	−9.21801	+	2.46996i	−0.755169	+	0.202347i	−0.139359	+	0.990242i	$0.544504\pi$
$150$	6.48533	−	5.72389i	0.529525	−	0.467354i
$151$	−2.69349	−	2.69349i	−0.219193	−	0.219193i	0.588965	−	0.808158i	$-0.299536\pi$
$151$	−2.69349	−	2.69349i	−0.219193	−	0.219193i	−0.808158	+	0.588965i	$0.799536\pi$
$152$	−4.93434	−	2.84884i	−0.400228	−	0.231072i
$153$	−10.7575	−	1.34704i	−0.869691	−	0.108901i
$154$	0.308753	−	1.15228i	0.0248800	−	0.0928534i
$155$	−0.551212			−0.0442744
$156$	−5.74806	+	2.44128i	−0.460213	+	0.195459i
$157$	2.89190			0.230799			0.115399	−	0.993319i	$-0.463185\pi$
$157$	2.89190			0.230799			0.115399	+	0.993319i	$0.463185\pi$
$158$	−1.26900	+	4.73597i	−0.100956	+	0.376774i
$159$	8.02192	+	5.32343i	0.636180	+	0.422176i
$160$	0.0666496	+	0.0384802i	0.00526911	+	0.00304212i
$161$	4.84513	+	4.84513i	0.381850	+	0.381850i
$162$	−4.59830	−	7.73664i	−0.361277	−	0.607848i
$163$	−9.13946	+	2.44891i	−0.715858	+	0.191813i	−0.598323	−	0.801255i	$-0.704166\pi$
$163$	−9.13946	+	2.44891i	−0.715858	+	0.191813i	−0.117535	+	0.993069i	$0.537499\pi$
$164$	−5.09472	+	5.09472i	−0.397831	+	0.397831i
$165$	0.158708	+	0.00989795i	0.0123554	+	0.000770554i
$166$	−14.5600	+	8.40621i	−1.13007	+	0.652448i
$167$	−4.18409	−	1.12112i	−0.323775	−	0.0867552i	0.0932707	−	0.995641i	$-0.470268\pi$
$167$	−4.18409	−	1.12112i	−0.323775	−	0.0867552i	−0.417046	+	0.908886i	$0.636934\pi$
$168$	−0.770979	−	1.55100i	−0.0594823	−	0.119662i
$169$	12.9075	+	1.54815i	0.992884	+	0.119088i
$170$		−	0.278122i		−	0.0213309i
$171$	−13.4947	+	10.4912i	−1.03197	+	0.802284i
$172$	−3.94176	−	6.82732i	−0.300556	−	0.520578i
$173$	7.95220	−	13.7736i	0.604595	−	1.04719i	−0.387520	−	0.921861i	$-0.626668\pi$
$173$	7.95220	−	13.7736i	0.604595	−	1.04719i	0.992115	−	0.125328i	$-0.0399983\pi$
$174$	−12.5103	−	4.20258i	−0.948406	−	0.318597i
$175$	−1.29256	−	4.82391i	−0.0977085	−	0.364653i
$176$	−0.308753	−	1.15228i	−0.0232731	−	0.0868564i
$177$	1.90587	+	0.640237i	0.143254	+	0.0481232i
$178$	5.61318	−	9.72231i	0.420726	−	0.728718i
$179$	2.59864	+	4.50097i	0.194231	+	0.336418i	0.946648	−	0.322269i	$-0.104445\pi$
$179$	2.59864	+	4.50097i	0.194231	+	0.336418i	−0.752417	+	0.658687i	$0.771112\pi$
$180$	0.182277	−	0.141708i	0.0135861	−	0.0105623i
$181$		−	24.2007i		−	1.79882i	−0.437106	−	0.899410i	$-0.643996\pi$
$181$		−	24.2007i		−	1.79882i	0.437106	−	0.899410i	$-0.356004\pi$
$182$	−0.215073	+	3.59913i	−0.0159422	+	0.266785i
$183$	11.0673	+	22.2644i	0.818119	+	1.64583i
$184$	6.61857	+	1.77344i	0.487928	+	0.130740i
$185$	−0.356688	+	0.205934i	−0.0262242	+	0.0151405i
$186$	12.3814	+	0.772175i	0.907848	+	0.0566186i
$187$	−3.04837	+	3.04837i	−0.222919	+	0.222919i
$188$	2.21252	−	0.592844i	0.161365	−	0.0432376i
$189$	−5.18157	+	0.389057i	−0.376904	+	0.0282997i
$190$	−0.310064	−	0.310064i	−0.0224944	−	0.0224944i
$191$	12.4393	+	7.18181i	0.900073	+	0.519657i	0.877224	−	0.480081i	$-0.159393\pi$
$191$	12.4393	+	7.18181i	0.900073	+	0.519657i	0.0228493	+	0.999739i	$0.492726\pi$
$192$	−1.44319	−	0.957713i	−0.104153	−	0.0691170i
$193$	−3.51371	+	13.1133i	−0.252922	+	0.943919i	0.716312	+	0.697780i	$0.245829\pi$
$193$	−3.51371	+	13.1133i	−0.252922	+	0.943919i	−0.969234	+	0.246139i	$0.920838\pi$
$194$	−11.8128			−0.848106
$195$	−0.475926	+	0.0669852i	−0.0340818	+	0.00479691i
$196$	−1.00000			−0.0714286
$197$	1.35826	−	5.06911i	0.0967724	−	0.361159i	−0.900510	−	0.434836i	$-0.856806\pi$
$197$	1.35826	−	5.06911i	0.0967724	−	0.361159i	0.997282	+	0.0736762i	$0.0234731\pi$
$198$	−3.55105	−	0.444658i	−0.252362	−	0.0316005i
$199$	16.4089	+	9.47367i	1.16319	+	0.671570i	0.952067	−	0.305888i	$-0.0989535\pi$
$199$	16.4089	+	9.47367i	1.16319	+	0.671570i	0.211127	+	0.977459i	$0.432287\pi$
$200$	−3.53135	−	3.53135i	−0.249704	−	0.249704i
$201$	−2.44263	+	2.15584i	−0.172290	+	0.152062i
$202$	−7.61703	+	2.04098i	−0.535933	+	0.143603i
$203$	−5.38779	+	5.38779i	−0.378149	+	0.378149i
$204$	−0.389611	+	6.24720i	−0.0272783	+	0.437392i
$205$	−0.480212	+	0.277251i	−0.0335395	+	0.0193640i
$206$	−14.8208	−	3.97121i	−1.03261	−	0.276687i
$207$	12.4103	−	16.3872i	0.862577	−	1.13899i
$208$	1.61331	+	3.22448i	0.111863	+	0.223577i
$209$			6.79694i			0.470154i
$210$	−0.0264190	−	0.130655i	−0.00182308	−	0.00901605i
$211$	1.23680	+	2.14221i	0.0851451	+	0.147476i	0.905453	−	0.424446i	$-0.139531\pi$
$211$	1.23680	+	2.14221i	0.0851451	+	0.147476i	−0.820308	+	0.571922i	$0.806198\pi$
$212$	2.77924	−	4.81379i	0.190879	−	0.330612i
$213$	−0.713849	+	2.12500i	−0.0489122	+	0.145603i
$214$	0.930196	+	3.47154i	0.0635869	+	0.237309i
$215$	−0.157030	−	0.586044i	−0.0107094	−	0.0399679i
$216$	−4.29284	+	2.92772i	−0.292091	+	0.199206i
$217$	3.58114	−	6.20273i	0.243104	−	0.421068i
$218$	5.09401	+	8.82309i	0.345010	+	0.597575i
$219$	8.44452	−	1.70752i	0.570628	−	0.115383i
$220$		−	0.0918082i		−	0.00618971i
$221$	7.17643	−	10.8755i	0.482739	−	0.731563i
$222$	8.30045	−	4.12604i	0.557090	−	0.276921i
$223$	−8.84339	−	2.36958i	−0.592197	−	0.158679i	−0.0497400	−	0.998762i	$-0.515839\pi$
$223$	−8.84339	−	2.36958i	−0.592197	−	0.158679i	−0.542457	+	0.840083i	$0.682506\pi$
$224$	−0.866025	+	0.500000i	−0.0578638	+	0.0334077i
$225$	−13.8052	+	5.82095i	−0.920347	+	0.388063i
$226$	13.2181	−	13.2181i	0.879256	−	0.879256i
$227$	13.4021	−	3.59107i	0.889526	−	0.238348i	0.215013	−	0.976611i	$-0.431021\pi$
$227$	13.4021	−	3.59107i	0.889526	−	0.238348i	0.674513	+	0.738263i	$0.264354\pi$
$228$	6.53033	+	7.39904i	0.432481	+	0.490014i
$229$	11.9985	+	11.9985i	0.792884	+	0.792884i	0.981962	−	0.189078i	$-0.0605498\pi$
$229$	11.9985	+	11.9985i	0.792884	+	0.792884i	−0.189078	+	0.981962i	$0.560550\pi$
$230$	0.456686	+	0.263668i	0.0301130	+	0.0173858i
$231$	−1.14248	+	1.72162i	−0.0751699	+	0.113274i
$232$	−1.97207	+	7.35986i	−0.129473	+	0.483199i
$233$	24.3406			1.59461			0.797304	−	0.603578i	$-0.206259\pi$
$233$	24.3406			1.59461			0.797304	+	0.603578i	$0.206259\pi$
$234$	10.7841	−	0.837920i	0.704982	−	0.0547765i
$235$	0.176283			0.0114995
$236$	0.300433	−	1.12123i	0.0195565	−	0.0729859i
$237$	4.69570	−	7.07599i	0.305019	−	0.459635i
$238$	3.12967	+	1.80692i	0.202866	+	0.117125i
$239$	−17.9356	−	17.9356i	−1.16016	−	1.16016i	−0.984440	−	0.175719i	$-0.943775\pi$
$239$	−17.9356	−	17.9356i	−1.16016	−	1.16016i	−0.175719	−	0.984440i	$-0.556225\pi$
$240$	−0.0882070	−	0.0999410i	−0.00569374	−	0.00645116i
$241$	−16.2584	+	4.35642i	−1.04730	+	0.280622i	−0.741134	−	0.671357i	$-0.765712\pi$
$241$	−16.2584	+	4.35642i	−1.04730	+	0.280622i	−0.306162	+	0.951979i	$0.599045\pi$
$242$	6.77191	−	6.77191i	0.435315	−	0.435315i
$243$	3.28270	+	15.2389i	0.210585	+	0.977576i
$244$	12.4317	−	7.17744i	0.795857	−	0.459488i
$245$	−0.0743380	−	0.0199188i	−0.00474928	−	0.00127257i
$246$	11.1750	−	5.55492i	0.712490	−	0.354169i
$247$	−4.12387	−	20.1251i	−0.262396	−	1.28053i
$248$		−	7.16229i		−	0.454806i
$249$	28.5423	−	5.77138i	1.80880	−	0.365747i
$250$	−0.384574	−	0.666101i	−0.0243226	−	0.0421279i
$251$	−4.99686	+	8.65481i	−0.315399	+	0.546287i	−0.979522	−	0.201336i	$-0.935472\pi$
$251$	−4.99686	+	8.65481i	−0.315399	+	0.546287i	0.664123	+	0.747623i	$0.268805\pi$
$252$	0.410397	+	2.97180i	0.0258526	+	0.187206i
$253$	−2.11559	−	7.89549i	−0.133006	−	0.496385i
$254$	−3.74349	−	13.9709i	−0.234888	−	0.876612i
$255$	−0.153400	+	0.456644i	−0.00960626	+	0.0285961i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−1.05315	−	1.82411i	−0.0656936	−	0.113785i	0.831308	−	0.555812i	$-0.187593\pi$
$257$	−1.05315	−	1.82411i	−0.0656936	−	0.113785i	−0.897001	+	0.442028i	$0.854259\pi$
$258$	2.70626	+	13.3838i	0.168484	+	0.833237i
$259$		−	5.35169i		−	0.332538i
$260$	0.0557023	+	0.271836i	0.00345451	+	0.0168586i
$261$	18.2226	+	13.8003i	1.12795	+	0.854217i
$262$	−17.2134	−	4.61233i	−1.06345	−	0.284951i
$263$	14.3729	−	8.29820i	0.886271	−	0.511689i	0.0135502	−	0.999908i	$-0.495687\pi$
$263$	14.3729	−	8.29820i	0.886271	−	0.511689i	0.872721	+	0.488219i	$0.162353\pi$
$264$	−0.128611	+	2.06221i	−0.00791546	+	0.126920i
$265$	0.302488	−	0.302488i	0.0185817	−	0.0185817i
$266$	5.50355	−	1.47467i	0.337444	−	0.0904179i
$267$	−14.5786	+	12.8669i	−0.892195	+	0.787443i
$268$	1.33005	+	1.33005i	0.0812454	+	0.0812454i
$269$	12.3602	+	7.13619i	0.753617	+	0.435101i	0.826999	−	0.562203i	$-0.190046\pi$
$269$	12.3602	+	7.13619i	0.753617	+	0.435101i	−0.0733821	+	0.997304i	$0.523379\pi$
$270$	−0.377438	+	0.132132i	−0.0229701	+	0.00804131i
$271$	−3.98239	+	14.8625i	−0.241913	+	0.902832i	0.732997	+	0.680232i	$0.238121\pi$
$271$	−3.98239	+	14.8625i	−0.241913	+	0.902832i	−0.974910	+	0.222600i	$0.928546\pi$
$272$	3.61383			0.219121
$273$	2.33825	−	5.79073i	0.141517	−	0.350471i
$274$	6.78800			0.410078
$275$	−1.54193	+	5.75458i	−0.0929822	+	0.347014i
$276$	−9.88878	−	6.56230i	−0.595235	−	0.395004i
$277$	−2.76648	−	1.59723i	−0.166222	−	0.0959681i	0.414581	−	0.910012i	$-0.363928\pi$
$277$	−2.76648	−	1.59723i	−0.166222	−	0.0959681i	−0.580803	+	0.814044i	$0.697261\pi$
$278$	−4.75806	−	4.75806i	−0.285369	−	0.285369i
$279$	−19.9029	−	8.09686i	−1.19156	−	0.484746i
$280$	−0.0743380	+	0.0199188i	−0.00444254	+	0.00119038i
$281$	16.4607	−	16.4607i	0.981961	−	0.981961i	−0.0178794	−	0.999840i	$-0.505692\pi$
$281$	16.4607	−	16.4607i	0.981961	−	0.981961i	0.999840	+	0.0178794i	$0.00569150\pi$
$282$	−3.95970	−	0.246949i	−0.235797	−	0.0147056i
$283$	4.38533	−	2.53187i	0.260681	−	0.150504i	−0.363964	−	0.931413i	$-0.618577\pi$
$283$	4.38533	−	2.53187i	0.260681	−	0.150504i	0.624645	+	0.780909i	$0.285244\pi$
$284$	1.25015	+	0.334976i	0.0741825	+	0.0198771i
$285$	0.338071	+	0.680106i	0.0200256	+	0.0402860i
$286$	2.36895	−	3.59000i	0.140079	−	0.212281i
$287$		−	7.20503i		−	0.425299i
$288$	1.84131	+	2.36845i	0.108500	+	0.139562i
$289$	1.97011	+	3.41234i	0.115889	+	0.200726i
$290$	−0.293199	+	0.507836i	−0.0172173	+	0.0298212i
$291$	19.3952	+	6.51540i	1.13697	+	0.381939i
$292$	−1.28740	−	4.80463i	−0.0753392	−	0.281170i
$293$	−2.58761	−	9.65710i	−0.151170	−	0.564174i	−0.999403	−	0.0345507i	$-0.989000\pi$
$293$	−2.58761	−	9.65710i	−0.151170	−	0.564174i	0.848233	−	0.529623i	$-0.177667\pi$
$294$	1.64188	+	0.551556i	0.0957567	+	0.0321674i
$295$	0.0446671	−	0.0773657i	0.00260062	−	0.00450441i
$296$	−2.67584	−	4.63470i	−0.155530	−	0.269386i
$297$	5.58517	+	2.68868i	0.324084	+	0.156013i
$298$		−	9.54319i		−	0.552822i
$299$	11.0545	+	22.0943i	0.639296	+	1.27774i
$300$	3.85033	+	7.74580i	0.222299	+	0.447204i
$301$	7.61489	+	2.04040i	0.438915	+	0.117607i
$302$	3.29884	−	1.90459i	0.189827	−	0.109597i
$303$	13.6320	+	0.850170i	0.783138	+	0.0488410i
$304$	4.02888	−	4.02888i	0.231072	−	0.231072i
$305$	1.06711	−	0.285932i	0.0611027	−	0.0163724i
$306$	4.08538	−	10.0423i	0.233546	−	0.574080i
$307$	10.5104	+	10.5104i	0.599859	+	0.599859i	0.940275	−	0.340416i	$-0.110568\pi$
$307$	10.5104	+	10.5104i	0.599859	+	0.599859i	−0.340416	+	0.940275i	$0.610568\pi$
$308$	1.03311	+	0.596464i	0.0588667	+	0.0339867i
$309$	22.1436	+	14.6947i	1.25971	+	0.835955i
$310$	0.142664	−	0.532430i	0.00810278	−	0.0302400i
$311$	2.31547			0.131298			0.0656492	−	0.997843i	$-0.479088\pi$
$311$	2.31547			0.131298			0.0656492	+	0.997843i	$0.479088\pi$
$312$	−0.870386	−	6.18405i	−0.0492759	−	0.350103i
$313$	12.5997			0.712175			0.356087	−	0.934453i	$-0.384111\pi$
$313$	12.5997			0.712175			0.356087	+	0.934453i	$0.384111\pi$
$314$	−0.748479	+	2.79336i	−0.0422391	+	0.157639i
$315$	−0.0286865	+	0.229092i	−0.00161630	+	0.0129079i
$316$	−4.24615	−	2.45152i	−0.238865	−	0.137909i
$317$	20.7681	+	20.7681i	1.16645	+	1.16645i	0.983035	+	0.183416i	$0.0587154\pi$
$317$	20.7681	+	20.7681i	1.16645	+	1.16645i	0.183416	+	0.983035i	$0.441285\pi$
$318$	−7.21826	+	6.37077i	−0.404780	+	0.357255i
$319$	8.77979	−	2.35254i	0.491574	−	0.131717i
$320$	−0.0544192	+	0.0544192i	−0.00304212	+	0.00304212i
$321$	0.387473	−	6.21292i	0.0216267	−	0.346771i
$322$	−5.93405	+	3.42603i	−0.330692	+	0.190925i
$323$	−19.8889	−	5.32921i	−1.10665	−	0.296525i
$324$	8.66315	−	2.43923i	0.481286	−	0.135513i
$325$	1.07409	−	17.9743i	0.0595797	−	0.997037i
$326$		−	9.46186i		−	0.524044i
$327$	−3.49736	−	17.2961i	−0.193404	−	0.956478i
$328$	−3.60251	−	6.23974i	−0.198915	−	0.344532i
$329$	−1.14529	+	1.98369i	−0.0631417	+	0.109365i
$330$	−0.0506374	+	0.150738i	−0.00278749	+	0.00829788i
$331$	6.56689	+	24.5080i	0.360949	+	1.34708i	0.872830	+	0.488024i	$0.162282\pi$
$331$	6.56689	+	24.5080i	0.360949	+	1.34708i	−0.511882	+	0.859056i	$0.671051\pi$
$332$	−4.35137	−	16.2396i	−0.238813	−	0.891261i
$333$	−15.9041	+	2.19631i	−0.871540	+	0.120357i
$334$	2.16585	−	3.75136i	0.118510	−	0.205265i
$335$	0.0723799	+	0.125366i	0.00395454	+	0.00684946i
$336$	1.69769	−	0.343281i	0.0926167	−	0.0187275i
$337$		−	19.7686i		−	1.07687i	−0.842668	−	0.538433i	$-0.819017\pi$
$337$		−	19.7686i		−	1.07687i	0.842668	−	0.538433i	$-0.180983\pi$
$338$	−4.83610	+	12.0670i	−0.263049	+	0.656357i
$339$	−28.9932	+	14.4121i	−1.57469	+	0.782757i
$340$	0.268645	+	0.0719832i	0.0145693	+	0.00390383i
$341$	−7.39941	+	4.27205i	−0.400700	+	0.231345i
$342$	−6.64106	−	15.7502i	−0.359107	−	0.851674i
$343$	0.707107	−	0.707107i	0.0381802	−	0.0381802i
$344$	7.61489	−	2.04040i	0.410567	−	0.110011i
$345$	−0.604399	−	0.684801i	−0.0325397	−	0.0368684i
$346$	11.2461	+	11.2461i	0.604595	+	0.604595i
$347$	−26.2288	−	15.1432i	−1.40804	−	0.812929i	−0.412836	−	0.910805i	$-0.635462\pi$
$347$	−26.2288	−	15.1432i	−1.40804	−	0.812929i	−0.995199	+	0.0978758i	$0.968795\pi$
$348$	7.29729	−	10.9963i	0.391176	−	0.589466i
$349$	3.45283	−	12.8862i	0.184826	−	0.689780i	−0.809842	−	0.586648i	$-0.800447\pi$
$349$	3.45283	−	12.8862i	0.184826	−	0.689780i	0.994668	−	0.103131i	$-0.0328862\pi$
$350$	4.99408			0.266945
$351$	−18.1685	−	4.57230i	−0.969762	−	0.244051i
$352$	1.19293			0.0635833
$353$	0.758477	−	2.83067i	0.0403697	−	0.150662i	−0.942799	−	0.333362i	$-0.891817\pi$
$353$	0.758477	−	2.83067i	0.0403697	−	0.150662i	0.983169	+	0.182700i	$0.0584837\pi$
$354$	−1.11170	+	1.67523i	−0.0590861	+	0.0890373i
$355$	0.0862610	+	0.0498028i	0.00457826	+	0.00264326i
$356$	7.93823	+	7.93823i	0.420726	+	0.420726i
$357$	−4.14194	−	4.69293i	−0.219215	−	0.248376i
$358$	−5.02018	+	1.34515i	−0.265325	+	0.0710935i
$359$	9.12468	−	9.12468i	0.481582	−	0.481582i	−0.424054	−	0.905637i	$-0.639393\pi$
$359$	9.12468	−	9.12468i	0.481582	−	0.481582i	0.905637	+	0.424054i	$0.139393\pi$
$360$	0.0897027	+	0.212743i	0.00472775	+	0.0112125i
$361$	−11.6599	+	6.73184i	−0.613678	+	0.354307i
$362$	23.3760	+	6.26359i	1.22862	+	0.329207i
$363$	−14.8538	+	7.38360i	−0.779621	+	0.387539i
$364$	−3.42083	−	1.13927i	−0.179300	−	0.0597139i
$365$		−	0.382810i		−	0.0200372i
$366$	−24.3702	+	4.92776i	−1.27385	+	0.257578i
$367$	1.36164	+	2.35842i	0.0710768	+	0.123109i	0.899373	−	0.437181i	$-0.144023\pi$
$367$	1.36164	+	2.35842i	0.0710768	+	0.123109i	−0.828297	+	0.560290i	$0.810690\pi$
$368$	−3.42603	+	5.93405i	−0.178594	+	0.309334i
$369$	−21.4119	+	2.95692i	−1.11466	+	0.153931i
$370$	−0.106599	−	0.397833i	−0.00554182	−	0.0206824i
$371$	1.43864	+	5.36908i	0.0746905	+	0.278749i
$372$	−3.95040	+	11.7597i	−0.204819	+	0.609710i
$373$	−2.17703	+	3.77072i	−0.112722	+	0.195240i	−0.916867	−	0.399193i	$-0.869290\pi$
$373$	−2.17703	+	3.77072i	−0.112722	+	0.195240i	0.804145	+	0.594434i	$0.202624\pi$
$374$	−2.15552	−	3.73347i	−0.111459	−	0.193053i
$375$	0.264034	+	1.30578i	0.0136346	+	0.0674299i
$376$			2.29057i			0.118127i
$377$	−24.5689	+	12.2926i	−1.26536	+	0.633100i
$378$	0.965288	−	5.10570i	0.0496491	−	0.262609i
$379$	2.94358	+	0.788731i	0.151202	+	0.0405144i	0.333626	−	0.942706i	$-0.391728\pi$
$379$	2.94358	+	0.788731i	0.151202	+	0.0405144i	−0.182424	+	0.983220i	$0.558394\pi$
$380$	0.379749	−	0.219248i	0.0194807	−	0.0112472i
$381$	−1.55935	+	25.0034i	−0.0798881	+	1.28096i
$382$	−10.1566	+	10.1566i	−0.519657	+	0.519657i
$383$	16.6160	−	4.45226i	0.849040	−	0.227500i	0.192037	−	0.981388i	$-0.438491\pi$
$383$	16.6160	−	4.45226i	0.849040	−	0.227500i	0.657003	+	0.753888i	$0.271824\pi$
$384$	1.29860	−	1.14614i	0.0662691	−	0.0584885i
$385$	0.0649182	+	0.0649182i	0.00330854	+	0.00330854i
$386$	−11.7571	−	6.78797i	−0.598421	−	0.345498i
$387$	2.93854	−	23.4673i	0.149374	−	1.19291i
$388$	3.05737	−	11.4102i	0.155214	−	0.579267i
$389$	−22.5423			−1.14294			−0.571469	−	0.820623i	$-0.693626\pi$
$389$	−22.5423			−1.14294			−0.571469	+	0.820623i	$0.693626\pi$
$390$	0.0584760	−	0.477046i	0.00296105	−	0.0241562i
$391$	24.7622			1.25228
$392$	0.258819	−	0.965926i	0.0130723	−	0.0487866i
$393$	25.7185	+	17.0671i	1.29733	+	0.860921i
$394$	4.54484	+	2.62397i	0.228966	+	0.132194i
$395$	−0.266819	−	0.266819i	−0.0134251	−	0.0134251i
$396$	1.34859	−	3.31497i	0.0677691	−	0.166583i
$397$	−6.82180	+	1.82790i	−0.342376	+	0.0917395i	−0.425910	−	0.904765i	$-0.640046\pi$
$397$	−6.82180	+	1.82790i	−0.342376	+	0.0917395i	0.0835337	+	0.996505i	$0.473379\pi$
$398$	−13.3978	+	13.3978i	−0.671570	+	0.671570i
$399$	−9.84955	−	0.614275i	−0.493094	−	0.0307522i
$400$	4.32500	−	2.49704i	0.216250	−	0.124852i
$401$	−22.3426	−	5.98669i	−1.11574	−	0.298961i	−0.346580	−	0.938020i	$-0.612657\pi$
$401$	−22.3426	−	5.98669i	−1.11574	−	0.298961i	−0.769157	+	0.639060i	$0.779324\pi$
$402$	−1.45019	−	2.91738i	−0.0723287	−	0.145505i
$403$	19.3170	−	17.1386i	0.962251	−	0.853733i
$404$		−	7.88573i		−	0.392330i
$405$	0.692587	−	0.00876798i	0.0344149	−	0.000435685i
$406$	−3.80975	−	6.59867i	−0.189075	−	0.327487i
$407$	−3.19209	+	5.52886i	−0.158226	+	0.274055i
$408$	−5.93349	−	1.99323i	−0.293752	−	0.0986796i
$409$	−9.26080	−	34.5618i	−0.457917	−	1.70897i	−0.679368	−	0.733798i	$-0.737746\pi$
$409$	−9.26080	−	34.5618i	−0.457917	−	1.70897i	0.221451	−	0.975172i	$-0.428921\pi$
$410$	−0.143515	−	0.535607i	−0.00708772	−	0.0264517i
$411$	−11.1451	−	3.74396i	−0.549748	−	0.184676i
$412$	7.67179	−	13.2879i	0.377962	−	0.654649i
$413$	0.580392	+	1.00527i	0.0285592	+	0.0494660i
$414$	12.6168	+	16.2288i	0.620080	+	0.797600i
$415$		−	1.29389i		−	0.0635145i
$416$	−3.53216	+	0.723780i	−0.173178	+	0.0354862i
$417$	5.18785	+	10.4365i	0.254050	+	0.511079i
$418$	−6.56534	−	1.75918i	−0.321121	−	0.0860442i
$419$	−24.1895	+	13.9658i	−1.18174	+	0.682276i	−0.956416	−	0.292009i	$-0.905676\pi$
$419$	−24.1895	+	13.9658i	−1.18174	+	0.682276i	−0.225320	+	0.974285i	$0.572343\pi$
$420$	0.133041	+	0.00829718i	0.00649172	+	0.000404861i
$421$	−5.84627	+	5.84627i	−0.284930	+	0.284930i	−0.835071	−	0.550141i	$-0.814574\pi$
$421$	−5.84627	+	5.84627i	−0.284930	+	0.284930i	0.550141	+	0.835071i	$0.314574\pi$
$422$	−2.38932	+	0.640217i	−0.116310	+	0.0311653i
$423$	6.36516	+	2.58946i	0.309485	+	0.125904i
$424$	3.93044	+	3.93044i	0.190879	+	0.190879i
$425$	−15.6298	−	9.02387i	−0.758157	−	0.437722i
$426$	−1.86784	−	1.23952i	−0.0904970	−	0.0600548i
$427$	−3.71532	+	13.8657i	−0.179797	+	0.671011i
$428$	−3.59400			−0.173723
$429$	−5.86963	+	4.58776i	−0.283388	+	0.221499i
$430$	0.606717			0.0292585
$431$	2.71318	−	10.1257i	0.130689	−	0.487738i	−0.869289	−	0.494304i	$-0.835423\pi$
$431$	2.71318	−	10.1257i	0.130689	−	0.487738i	0.999978	+	0.00656528i	$0.00208981\pi$
$432$	−1.71689	−	4.90431i	−0.0826038	−	0.235959i
$433$	−24.1039	−	13.9164i	−1.15836	−	0.668779i	−0.207449	−	0.978246i	$-0.566516\pi$
$433$	−24.1039	−	13.9164i	−1.15836	−	0.668779i	−0.950910	+	0.309467i	$0.899849\pi$
$434$	5.06450	+	5.06450i	0.243104	+	0.243104i
$435$	0.761499	−	0.672092i	0.0365111	−	0.0322244i
$436$	−9.84088	+	2.63686i	−0.471293	+	0.126282i
$437$	27.6061	−	27.6061i	1.32058	−	1.32058i
$438$	−0.536266	+	8.59872i	−0.0256238	+	0.410863i
$439$	7.54288	−	4.35489i	0.360002	−	0.207847i	−0.309080	−	0.951036i	$-0.600021\pi$
$439$	7.54288	−	4.35489i	0.360002	−	0.207847i	0.669082	+	0.743189i	$0.266688\pi$
$440$	0.0886799	+	0.0237617i	0.00422765	+	0.00113279i
$441$	−2.39157	−	1.81118i	−0.113884	−	0.0862468i
$442$	8.64750	+	9.74668i	0.411320	+	0.463602i
$443$			1.04602i			0.0496980i	0.999691	+	0.0248490i	$0.00791049\pi$
$443$			1.04602i			0.0496980i	−0.999691	+	0.0248490i	$0.992090\pi$
$444$	1.83713	+	9.08551i	0.0871864	+	0.431179i
$445$	0.431992	+	0.748232i	0.0204784	+	0.0354696i
$446$	4.57768	−	7.92877i	0.216759	−	0.375438i
$447$	−5.26360	+	15.6688i	−0.248960	+	0.741110i
$448$	−0.258819	−	0.965926i	−0.0122281	−	0.0456357i
$449$	−10.3708	−	38.7045i	−0.489430	−	1.82658i	−0.559222	−	0.829018i	$-0.688900\pi$
$449$	−10.3708	−	38.7045i	−0.489430	−	1.82658i	0.0697918	−	0.997562i	$-0.477767\pi$
$450$	−2.04955	−	14.8414i	−0.0966169	−	0.699629i
$451$	−4.29754	+	7.44356i	−0.202363	+	0.350504i
$452$	9.34662	+	16.1888i	0.439628	+	0.761458i
$453$	−6.46680	+	1.30762i	−0.303837	+	0.0614372i
$454$			13.8748i			0.651178i
$455$	−0.231605	−	0.152830i	−0.0108578	−	0.00716476i
$456$	−8.83710	+	4.39280i	−0.413835	+	0.205712i
$457$	−24.6825	−	6.61367i	−1.15460	−	0.309374i	−0.369793	−	0.929114i	$-0.620571\pi$
$457$	−24.6825	−	6.61367i	−1.15460	−	0.309374i	−0.784807	+	0.619740i	$0.787238\pi$
$458$	−14.6951	+	8.48423i	−0.686658	+	0.396442i
$459$	−12.2466	+	14.2350i	−0.571623	+	0.664432i
$460$	−0.372883	+	0.372883i	−0.0173858	+	0.0173858i
$461$	21.4908	−	5.75844i	1.00093	−	0.268197i	0.279093	−	0.960264i	$-0.409966\pi$
$461$	21.4908	−	5.75844i	1.00093	−	0.268197i	0.721833	+	0.692067i	$0.243300\pi$
$462$	−1.36726	−	1.54914i	−0.0636106	−	0.0720726i
$463$	15.3356	+	15.3356i	0.712706	+	0.712706i	0.967101	−	0.254394i	$-0.0818762\pi$
$463$	15.3356	+	15.3356i	0.712706	+	0.712706i	−0.254394	+	0.967101i	$0.581876\pi$
$464$	−6.59867	−	3.80975i	−0.306336	−	0.176863i
$465$	−0.527903	+	0.795501i	−0.0244809	+	0.0368905i
$466$	−6.29982	+	23.5113i	−0.291834	+	1.08914i
$467$	12.2391			0.566360			0.283180	−	0.959067i	$-0.408611\pi$
$467$	12.2391			0.566360			0.283180	+	0.959067i	$0.408611\pi$
$468$	−1.98177	+	10.6336i	−0.0916076	+	0.491536i
$469$	−1.88097			−0.0868550
$470$	−0.0456255	+	0.170277i	−0.00210455	+	0.00785427i
$471$	2.76961	−	4.17355i	0.127617	−	0.192307i
$472$	1.00527	+	0.580392i	0.0462712	+	0.0267147i
$473$	−6.64996	−	6.64996i	−0.305766	−	0.305766i
$474$	5.61955	+	6.36710i	0.258114	+	0.292451i
$475$	−27.4851	+	7.36462i	−1.26110	+	0.337912i
$476$	−2.55536	+	2.55536i	−0.117125	+	0.117125i
$477$	15.3654	−	6.47880i	0.703533	−	0.296644i
$478$	21.9666	−	12.6824i	1.00473	−	0.580080i
$479$	−25.6668	−	6.87739i	−1.17275	−	0.314236i	−0.380700	−	0.924699i	$-0.624317\pi$
$479$	−25.6668	−	6.87739i	−1.17275	−	0.314236i	−0.792045	+	0.610462i	$0.790984\pi$
$480$	0.119365	−	0.0593348i	0.00544825	−	0.00270825i
$481$	6.09700	−	18.3072i	0.277999	−	0.834736i
$482$		−	16.8319i		−	0.766674i
$483$	11.6327	−	2.35218i	0.529305	−	0.107028i
$484$	4.78846	+	8.29386i	0.217657	+	0.376993i
$485$	0.454557	−	0.787315i	0.0206404	−	0.0357501i
$486$	−15.5693	−	0.773275i	−0.706236	−	0.0350765i
$487$	1.44277	+	5.38450i	0.0653783	+	0.243995i	0.990880	−	0.134749i	$-0.0430228\pi$
$487$	1.44277	+	5.38450i	0.0653783	+	0.243995i	−0.925502	+	0.378744i	$0.876356\pi$
$488$	3.71532	+	13.8657i	0.168184	+	0.627673i
$489$	−5.21875	+	15.5353i	−0.236000	+	0.702530i
$490$	0.0384802	−	0.0666496i	0.00173836	−	0.00301092i
$491$	3.86121	+	6.68781i	0.174254	+	0.301817i	0.939903	−	0.341442i	$-0.110915\pi$
$491$	3.86121	+	6.68781i	0.174254	+	0.301817i	−0.765649	+	0.643259i	$0.777582\pi$
$492$	2.47335	+	12.2319i	0.111507	+	0.551457i
$493$			27.5356i			1.24014i
$494$	20.5067	+	1.22542i	0.922642	+	0.0551341i
$495$	0.166281	−	0.219566i	0.00747379	−	0.00986875i
$496$	6.91824	+	1.85374i	0.310638	+	0.0832353i
$497$	−1.12085	+	0.647123i	−0.0502770	+	0.0290274i
$498$	−1.81257	+	29.0635i	−0.0812231	+	1.30237i
$499$	−16.9200	+	16.9200i	−0.757443	+	0.757443i	−0.975856	−	0.218413i	$-0.929912\pi$
$499$	−16.9200	+	16.9200i	−0.757443	+	0.757443i	0.218413	+	0.975856i	$0.429912\pi$
$500$	0.742939	−	0.199070i	0.0332253	−	0.00890268i
$501$	−5.62515	+	4.96471i	−0.251313	+	0.221807i
$502$	−7.06662	−	7.06662i	−0.315399	−	0.315399i
$503$	−15.8100	−	9.12792i	−0.704934	−	0.406994i	0.104248	−	0.994551i	$-0.466756\pi$
$503$	−15.8100	−	9.12792i	−0.704934	−	0.406994i	−0.809183	+	0.587557i	$0.800090\pi$
$504$	−2.97675	−	0.372745i	−0.132595	−	0.0166034i
$505$	0.157074	−	0.586209i	0.00698971	−	0.0260860i
$506$	8.17401			0.363379
$507$	14.5959	−	17.1452i	0.648228	−	0.761446i
$508$	14.4637			0.641725
$509$	−0.845221	+	3.15441i	−0.0374638	+	0.139817i	−0.982125	−	0.188232i	$-0.939724\pi$
$509$	−0.845221	+	3.15441i	−0.0374638	+	0.139817i	0.944661	+	0.328049i	$0.106391\pi$
$510$	−0.401381	−	0.266361i	−0.0177735	−	0.0117947i
$511$	4.30771	+	2.48706i	0.190562	+	0.110021i
$512$	−0.707107	−	0.707107i	−0.0312500	−	0.0312500i
$513$	2.21673	+	29.5230i	0.0978708	+	1.30347i
$514$	2.03453	−	0.545150i	0.0897391	−	0.0240455i
$515$	0.834985	−	0.834985i	0.0367938	−	0.0367938i
$516$	−13.6282	−	0.849931i	−0.599946	−	0.0374161i
$517$	2.36641	−	1.36625i	0.104074	−	0.0600874i
$518$	5.16933	+	1.38512i	0.227127	+	0.0608586i
$519$	−12.2620	−	24.6677i	−0.538240	−	1.08279i
$520$	−0.276990	−	0.0165521i	−0.0121468	−	0.000725855i
$521$			8.47897i			0.371470i	0.982600	+	0.185735i	$0.0594666\pi$
$521$			8.47897i			0.371470i	−0.982600	+	0.185735i	$0.940533\pi$
$522$	−18.0464	+	14.0299i	−0.789870	+	0.614070i
$523$	−7.63435	−	13.2231i	−0.333827	−	0.578205i	0.649432	−	0.760420i	$-0.275007\pi$
$523$	−7.63435	−	13.2231i	−0.333827	−	0.578205i	−0.983259	+	0.182215i	$0.941673\pi$
$524$	8.91033	−	15.4331i	0.389250	−	0.674200i
$525$	−8.19970	−	2.75451i	−0.357864	−	0.120217i
$526$	4.29546	+	16.0309i	0.187291	+	0.698980i
$527$	−6.69909	−	25.0014i	−0.291817	−	1.08908i
$528$	−1.95865	−	0.657967i	−0.0852394	−	0.0286343i
$529$	−11.9753	+	20.7418i	−0.520665	+	0.901819i
$530$	0.213891	+	0.370470i	0.00929084	+	0.0160922i
$531$	2.74926	−	2.13736i	0.119308	−	0.0927537i
$532$			5.69769i			0.247026i
$533$	8.20845	−	24.6472i	0.355548	−	1.06759i
$534$	−8.65529	−	17.4120i	−0.374551	−	0.753493i
$535$	−0.267171	−	0.0715882i	−0.0115508	−	0.00309503i
$536$	−1.62897	+	0.940484i	−0.0703606	+	0.0406227i
$537$	8.98448	+	0.560324i	0.387709	+	0.0241798i
$538$	−10.0921	+	10.0921i	−0.435101	+	0.435101i
$539$	−1.15228	+	0.308753i	−0.0496322	+	0.0132989i
$540$	−0.0299419	−	0.398775i	−0.00128850	−	0.0171605i
$541$	26.0909	+	26.0909i	1.12174	+	1.12174i	0.991481	+	0.130255i	$0.0415796\pi$
$541$	26.0909	+	26.0909i	1.12174	+	1.12174i	0.130255	+	0.991481i	$0.458420\pi$
$542$	−13.3254	−	7.69340i	−0.572373	−	0.330460i
$543$	−34.9260	−	23.1773i	−1.49882	−	0.994633i
$544$	−0.935328	+	3.49069i	−0.0401019	+	0.149662i
$545$	−0.784074			−0.0335860
$546$	4.98824	+	3.75733i	0.213477	+	0.160799i
$547$	−9.74783			−0.416787			−0.208394	−	0.978045i	$-0.566823\pi$
$547$	−9.74783			−0.416787			−0.208394	+	0.978045i	$0.566823\pi$
$548$	−1.75686	+	6.55671i	−0.0750495	+	0.280089i
$549$	42.7309	+	5.35071i	1.82371	+	0.228363i
$550$	−5.15941	−	2.97879i	−0.219998	−	0.127016i
$551$	30.6980	+	30.6980i	1.30778	+	1.30778i
$552$	8.89810	−	7.85338i	0.378728	−	0.334262i
$553$	4.73597	−	1.26900i	0.201394	−	0.0539633i
$554$	2.25882	−	2.25882i	0.0959681	−	0.0959681i
$555$	−0.0444039	+	0.711992i	−0.00188484	+	0.0302224i
$556$	5.82741	−	3.36446i	0.247137	−	0.142685i
$557$	−21.8248	−	5.84793i	−0.924746	−	0.247785i	−0.235133	−	0.971963i	$-0.575553\pi$
$557$	−21.8248	−	5.84793i	−0.924746	−	0.247785i	−0.689613	+	0.724178i	$0.742219\pi$
$558$	12.9722	−	17.1291i	0.549158	−	0.725134i
$559$	23.7247	+	15.6553i	1.00345	+	0.662147i
$560$		−	0.0769603i		−	0.00325217i
$561$	1.47990	+	7.31882i	0.0624814	+	0.309001i
$562$	11.6394	+	20.1601i	0.490980	+	0.850403i
$563$	−2.75414	+	4.77031i	−0.116073	+	0.201045i	−0.918208	−	0.396098i	$-0.870364\pi$
$563$	−2.75414	+	4.77031i	−0.116073	+	0.201045i	0.802135	+	0.597143i	$0.203697\pi$
$564$	1.26338	−	3.76086i	0.0531979	−	0.158361i
$565$	0.372347	+	1.38962i	0.0156647	+	0.0584616i
$566$	1.31059	+	4.89120i	0.0550884	+	0.205593i
$567$	−4.40097	+	7.85057i	−0.184824	+	0.329693i
$568$	−0.647123	+	1.12085i	−0.0271527	+	0.0470298i
$569$	10.8841	+	18.8518i	0.456286	+	0.790310i	0.998761	−	0.0497615i	$-0.0158461\pi$
$569$	10.8841	+	18.8518i	0.456286	+	0.790310i	−0.542475	+	0.840072i	$0.682513\pi$
$570$	−0.744431	+	0.150527i	−0.0311808	+	0.00630489i
$571$		−	14.2120i		−	0.594754i	−0.954760	−	0.297377i	$-0.903888\pi$
$571$		−	14.2120i		−	0.594754i	0.954760	−	0.297377i	$-0.0961118\pi$
$572$	2.85455	+	3.21739i	0.119355	+	0.134526i
$573$	22.2779	−	11.0740i	0.930674	−	0.462625i
$574$	6.95952	+	1.86480i	0.290485	+	0.0778352i
$575$	29.6351	−	17.1098i	1.23587	−	0.713529i
$576$	−2.76432	+	1.16557i	−0.115180	+	0.0485654i
$577$	7.52976	−	7.52976i	0.313468	−	0.313468i	−0.532784	−	0.846252i	$-0.678854\pi$
$577$	7.52976	−	7.52976i	0.313468	−	0.313468i	0.846252	+	0.532784i	$0.178854\pi$
$578$	−3.80597	+	1.01981i	−0.158307	+	0.0424183i
$579$	15.5599	+	17.6298i	0.646646	+	0.732668i
$580$	−0.414646	−	0.414646i	−0.0172173	−	0.0172173i
$581$	14.5600	+	8.40621i	0.604050	+	0.348748i
$582$	−11.3132	+	17.0480i	−0.468949	+	0.706662i
$583$	1.71620	−	6.40493i	0.0710776	−	0.265265i
$584$	4.97412			0.205830
$585$	−0.359129	+	0.751002i	−0.0148481	+	0.0310501i
$586$	9.99777			0.413004
$587$	3.86811	−	14.4360i	0.159654	−	0.595837i	−0.839008	−	0.544120i	$-0.816864\pi$
$587$	3.86811	−	14.4360i	0.159654	−	0.595837i	0.998662	−	0.0517176i	$-0.0164696\pi$
$588$	−0.957713	+	1.44319i	−0.0394954	+	0.0595160i
$589$	−35.3412	−	20.4043i	−1.45621	−	0.840743i
$590$	0.0631689	+	0.0631689i	0.00260062	+	0.00260062i
$591$	−6.01484	−	6.81499i	−0.247418	−	0.280331i
$592$	5.16933	−	1.38512i	0.212458	−	0.0569280i
$593$	−6.19886	+	6.19886i	−0.254557	+	0.254557i	−0.822836	−	0.568279i	$-0.807609\pi$
$593$	−6.19886	+	6.19886i	−0.254557	+	0.254557i	0.568279	+	0.822836i	$0.307609\pi$
$594$	−4.04262	+	4.69898i	−0.165871	+	0.192801i
$595$	−0.240860	+	0.139061i	−0.00987431	+	0.00570094i
$596$	9.21801	+	2.46996i	0.377584	+	0.101173i
$597$	29.3873	−	14.6080i	1.20274	−	0.597865i
$598$	−24.2025	+	4.95937i	−0.989715	+	0.202804i
$599$		−	3.99041i		−	0.163044i	−0.996672	−	0.0815218i	$-0.974022\pi$
$599$		−	3.99041i		−	0.163044i	0.996672	−	0.0815218i	$-0.0259780\pi$
$600$	−8.47840	+	1.71437i	−0.346129	+	0.0699889i
$601$	−3.43701	−	5.95308i	−0.140199	−	0.242831i	0.787373	−	0.616477i	$-0.211441\pi$
$601$	−3.43701	−	5.95308i	−0.140199	−	0.242831i	−0.927571	+	0.373646i	$0.878107\pi$
$602$	−3.94176	+	6.82732i	−0.160654	+	0.278261i
$603$	0.771943	+	5.58985i	0.0314360	+	0.227636i
$604$	0.985886	+	3.67938i	0.0401151	+	0.149712i
$605$	0.190761	+	0.711929i	0.00775553	+	0.0289440i
$606$	−4.34942	+	12.9475i	−0.176683	+	0.525955i
$607$	−1.45768	+	2.52478i	−0.0591655	+	0.102478i	−0.894091	−	0.447885i	$-0.852177\pi$
$607$	−1.45768	+	2.52478i	−0.0591655	+	0.102478i	0.834926	+	0.550363i	$0.185511\pi$
$608$	2.84884	+	4.93434i	0.115536	+	0.200114i
$609$	2.61563	+	12.9356i	0.105990	+	0.524175i
$610$			1.10476i			0.0447303i
$611$	−6.17779	+	5.48109i	−0.249927	+	0.221741i
$612$	8.64274	+	6.54531i	0.349362	+	0.264578i
$613$	−15.6033	−	4.18088i	−0.630210	−	0.168864i	−0.0704448	−	0.997516i	$-0.522442\pi$
$613$	−15.6033	−	4.18088i	−0.630210	−	0.168864i	−0.559765	+	0.828652i	$0.689109\pi$
$614$	−12.8725	+	7.43197i	−0.519493	+	0.299930i
$615$	−0.0597814	+	0.958562i	−0.00241062	+	0.0386529i
$616$	−0.843528	+	0.843528i	−0.0339867	+	0.0339867i
$617$	−0.742397	+	0.198925i	−0.0298878	+	0.00800840i	−0.273732	−	0.961806i	$-0.588258\pi$
$617$	−0.742397	+	0.198925i	−0.0298878	+	0.00800840i	0.243844	+	0.969814i	$0.421591\pi$
$618$	−19.9252	+	17.5858i	−0.801510	+	0.707406i
$619$	31.0197	+	31.0197i	1.24679	+	1.24679i	0.957131	+	0.289656i	$0.0935410\pi$
$619$	31.0197	+	31.0197i	1.24679	+	1.24679i	0.289656	+	0.957131i	$0.406459\pi$
$620$	0.477364	+	0.275606i	0.0191714	+	0.0110686i
$621$	−11.7642	−	33.6046i	−0.472081	−	1.34851i
$622$	−0.599288	+	2.23657i	−0.0240293	+	0.0896784i
$623$	−11.2264			−0.449775
$624$	6.19860	+	0.759821i	0.248143	+	0.0304172i
$625$	−24.9112			−0.996448
$626$	−3.26103	+	12.1703i	−0.130337	+	0.486424i
$627$	9.80924	+	6.50952i	0.391744	+	0.259965i
$628$	−2.50446	−	1.44595i	−0.0999388	−	0.0576997i
$629$	−13.6755	−	13.6755i	−0.545278	−	0.545278i
$630$	−0.213861	−	0.0870024i	−0.00852043	−	0.00346626i
$631$	16.8556	−	4.51645i	0.671012	−	0.179797i	0.0928016	−	0.995685i	$-0.470418\pi$
$631$	16.8556	−	4.51645i	0.671012	−	0.179797i	0.578211	+	0.815887i	$0.303751\pi$
$632$	3.46697	−	3.46697i	0.137909	−	0.137909i
$633$	4.27611	+	0.266683i	0.169960	+	0.0105997i
$634$	−25.4356	+	14.6852i	−1.01018	+	0.583226i
$635$	1.07520	+	0.288100i	0.0426682	+	0.0114329i
$636$	−4.28547	−	8.62119i	−0.169930	−	0.341852i
$637$	3.22448	−	1.61331i	0.127758	−	0.0639216i
$638$			9.08951i			0.359857i
$639$	2.38311	+	3.06536i	0.0942744	+	0.121264i
$640$	−0.0384802	−	0.0666496i	−0.00152106	−	0.00263456i
$641$	−24.6416	+	42.6805i	−0.973285	+	1.68578i	−0.287803	+	0.957690i	$0.592925\pi$
$641$	−24.6416	+	42.6805i	−0.973285	+	1.68578i	−0.685482	+	0.728090i	$0.740408\pi$
$642$	5.90093	+	1.98229i	0.232891	+	0.0782349i
$643$	−0.719275	−	2.68437i	−0.0283654	−	0.105861i	0.950292	−	0.311361i	$-0.100785\pi$
$643$	−0.719275	−	2.68437i	−0.0283654	−	0.105861i	−0.978657	+	0.205500i	$0.934118\pi$
$644$	−1.77344	−	6.61857i	−0.0698834	−	0.260808i
$645$	−0.996160	−	0.334639i	−0.0392238	−	0.0131764i
$646$	10.2952	−	17.8319i	0.405061	−	0.701586i
$647$	−17.2628	−	29.9001i	−0.678671	−	1.17549i	−0.975381	−	0.220525i	$-0.929223\pi$
$647$	−17.2628	−	29.9001i	−0.678671	−	1.17549i	0.296710	−	0.954968i	$-0.404111\pi$
$648$	0.113929	+	8.99928i	0.00447554	+	0.353525i
$649$		−	1.38473i		−	0.0543555i
$650$	17.0839	+	5.68959i	0.670085	+	0.223164i
$651$	−5.52197	−	11.1087i	−0.216423	−	0.435384i
$652$	9.13946	+	2.44891i	0.357929	+	0.0959067i
$653$	−20.5094	+	11.8411i	−0.802596	+	0.463379i	−0.844378	−	0.535748i	$-0.820030\pi$
$653$	−20.5094	+	11.8411i	−0.802596	+	0.463379i	0.0417821	+	0.999127i	$0.486696\pi$
$654$	17.6120	+	1.09838i	0.688682	+	0.0429502i
$655$	0.969786	−	0.969786i	0.0378927	−	0.0378927i
$656$	6.95952	−	1.86480i	0.271724	−	0.0728081i
$657$	5.62316	−	13.8223i	0.219380	−	0.539260i
$658$	−1.61968	−	1.61968i	−0.0631417	−	0.0631417i
$659$	25.5917	+	14.7754i	0.996911	+	0.575567i	0.907333	−	0.420413i	$-0.138115\pi$
$659$	25.5917	+	14.7754i	0.996911	+	0.575567i	0.0895780	+	0.995980i	$0.471448\pi$
$660$	−0.132496	−	0.0879259i	−0.00515741	−	0.00342251i
$661$	−5.56372	+	20.7641i	−0.216404	+	0.807629i	0.769264	+	0.638931i	$0.220623\pi$
$661$	−5.56372	+	20.7641i	−0.216404	+	0.807629i	−0.985668	+	0.168698i	$0.946044\pi$
$662$	−25.3725			−0.986131
$663$	−8.82236	−	20.7725i	−0.342632	−	0.806737i
$664$	16.8124			0.652448
$665$	−0.113491	+	0.423555i	−0.00440100	+	0.0164247i
$666$	1.99481	−	15.9306i	0.0772974	−	0.617300i
$667$	−45.2144	−	26.1046i	−1.75071	−	1.01077i
$668$	3.06297	+	3.06297i	0.118510	+	0.118510i
$669$	−11.8892	+	10.4933i	−0.459662	+	0.405694i
$670$	−0.139827	+	0.0374666i	−0.00540200	+	0.00144746i
$671$	12.1087	−	12.1087i	0.467453	−	0.467453i
$672$	−0.107811	+	1.72869i	−0.00415891	+	0.0666857i
$673$	−2.38787	+	1.37864i	−0.0920457	+	0.0531426i	−0.545316	−	0.838230i	$-0.683590\pi$
$673$	−2.38787	+	1.37864i	−0.0920457	+	0.0531426i	0.453271	+	0.891373i	$0.350257\pi$
$674$	19.0950	+	5.11650i	0.735513	+	0.197080i
$675$	−4.82072	+	25.4983i	−0.185550	+	0.981429i
$676$	−10.4041	−	7.79448i	−0.400159	−	0.299788i
$677$			9.49383i			0.364877i	0.983217	+	0.182439i	$0.0583991\pi$
$677$			9.49383i			0.364877i	−0.983217	+	0.182439i	$0.941601\pi$
$678$	−6.41703	−	31.7354i	−0.246445	−	1.21879i
$679$	5.90638	+	10.2301i	0.226666	+	0.392597i
$680$	−0.139061	+	0.240860i	−0.00533274	+	0.00923657i
$681$	7.65275	−	22.7809i	0.293254	−	0.872965i
$682$	−2.21138	−	8.25297i	−0.0846780	−	0.316023i
$683$	−6.31688	−	23.5749i	−0.241709	−	0.902070i	−0.975009	−	0.222165i	$-0.928688\pi$
$683$	−6.31688	−	23.5749i	−0.241709	−	0.902070i	0.733300	−	0.679905i	$-0.237979\pi$
$684$	16.9324	−	2.33831i	0.647426	−	0.0894077i
$685$	−0.261203	+	0.452418i	−0.00998007	+	0.0172860i
$686$	0.500000	+	0.866025i	0.0190901	+	0.0330650i
$687$	28.8072	−	5.82495i	1.09906	−	0.222236i
$688$			7.88351i			0.300556i
$689$	−1.19548	+	20.0057i	−0.0455440	+	0.762156i
$690$	0.817897	−	0.406565i	0.0311368	−	0.0154777i
$691$	−2.40274	−	0.643813i	−0.0914047	−	0.0244918i	0.212827	−	0.977090i	$-0.431733\pi$
$691$	−2.40274	−	0.643813i	−0.0914047	−	0.0244918i	−0.304232	+	0.952598i	$0.598400\pi$
$692$	−13.7736	+	7.95220i	−0.523595	+	0.302297i
$693$	1.39044	+	3.29763i	0.0528185	+	0.125267i
$694$	21.4157	−	21.4157i	0.812929	−	0.812929i
$695$	0.500214	−	0.134032i	0.0189742	−	0.00508412i
$696$	8.73297	+	9.89470i	0.331022	+	0.375058i
$697$	−18.4115	−	18.4115i	−0.697384	−	0.697384i
$698$	11.5534	+	6.67036i	0.437303	+	0.252477i
$699$	23.3114	−	35.1281i	0.881717	−	1.32867i
$700$	−1.29256	+	4.82391i	−0.0488543	+	0.182327i
$701$	−48.2767			−1.82338			−0.911692	−	0.410873i	$-0.865224\pi$
$701$	−48.2767			−1.82338			−0.911692	+	0.410873i	$0.865224\pi$
$702$	9.11885	−	16.3660i	0.344169	−	0.617696i
$703$	−30.4922			−1.15004
$704$	−0.308753	+	1.15228i	−0.0116366	+	0.0434282i
$705$	0.168829	−	0.254409i	0.00635846	−	0.00958162i
$706$	2.53791	+	1.46526i	0.0955156	+	0.0551460i
$707$	5.57605	+	5.57605i	0.209709	+	0.209709i
$708$	−1.33042	−	1.50740i	−0.0500001	−	0.0566515i
$709$	−25.3069	+	6.78095i	−0.950419	+	0.254664i	−0.700540	−	0.713613i	$-0.747057\pi$
$709$	−25.3069	+	6.78095i	−0.950419	+	0.254664i	−0.249879	+	0.968277i	$0.580391\pi$
$710$	−0.0704318	+	0.0704318i	−0.00264326	+	0.00264326i
$711$	−5.71483	−	13.5535i	−0.214323	−	0.508298i
$712$	−9.72231	+	5.61318i	−0.364359	+	0.210363i
$713$	47.4041	+	12.7019i	1.77530	+	0.475690i
$714$	5.60504	−	2.78619i	0.209763	−	0.104270i
$715$	0.148115	+	0.296033i	0.00553918	+	0.0110710i
$716$		−	5.19727i		−	0.194231i
$717$	−43.0616	+	8.70725i	−1.60817	+	0.325178i
$718$	6.45212	+	11.1754i	0.240791	+	0.417063i
$719$	−15.0175	+	26.0111i	−0.560059	+	0.970051i	0.437431	+	0.899252i	$0.355888\pi$
$719$	−15.0175	+	26.0111i	−0.560059	+	0.970051i	−0.997491	+	0.0707991i	$0.977445\pi$
$720$	−0.228710	+	0.0315843i	−0.00852353	+	0.00117708i
$721$	3.97121	+	14.8208i	0.147896	+	0.551954i
$722$	−3.48465	−	13.0049i	−0.129685	−	0.483993i
$723$	−9.28376	+	27.6361i	−0.345267	+	1.02780i
$724$	−12.1003	+	20.9584i	−0.449705	+	0.778912i
$725$	19.0262	+	32.9543i	0.706614	+	1.22389i
$726$	−3.28757	−	16.2587i	−0.122013	−	0.603416i
$727$		−	21.2709i		−	0.788893i	−0.918919	−	0.394447i	$-0.870936\pi$
$727$		−	21.2709i		−	0.788893i	0.918919	−	0.394447i	$-0.129064\pi$
$728$	1.98582	−	3.00940i	0.0735995	−	0.111536i
$729$	25.1364	+	9.85695i	0.930979	+	0.365072i
$730$	0.369766	+	0.0990785i	0.0136856	+	0.00366706i
$731$	24.6728	−	14.2448i	0.912556	−	0.526864i
$732$	1.54762	−	24.8152i	0.0572016	−	0.917195i
$733$	22.8697	−	22.8697i	0.844712	−	0.844712i	−0.144755	−	0.989467i	$-0.546240\pi$
$733$	22.8697	−	22.8697i	0.844712	−	0.844712i	0.989467	+	0.144755i	$0.0462396\pi$
$734$	−2.63048	+	0.704835i	−0.0970927	+	0.0260159i
$735$	−0.0999410	+	0.0882070i	−0.00368638	+	0.00325356i
$736$	−4.84513	−	4.84513i	−0.178594	−	0.178594i
$737$	1.94324	+	1.12193i	0.0715802	+	0.0413268i
$738$	2.68564	−	21.4476i	0.0988596	−	0.789497i
$739$	1.59410	−	5.94927i	0.0586400	−	0.218847i	−0.930388	−	0.366577i	$-0.880530\pi$
$739$	1.59410	−	5.94927i	0.0586400	−	0.218847i	0.989028	+	0.147729i	$0.0471964\pi$
$740$	0.411867			0.0151405
$741$	−32.9938	−	13.3226i	−1.21206	−	0.489418i
$742$	−5.55848			−0.204058
$743$	7.22911	−	26.9794i	0.265210	−	0.989779i	−0.696911	−	0.717158i	$-0.745443\pi$
$743$	7.22911	−	26.9794i	0.265210	−	0.989779i	0.962121	−	0.272621i	$-0.0878905\pi$
$744$	−10.3365	−	6.85942i	−0.378955	−	0.251479i
$745$	0.636050	+	0.367223i	0.0233031	+	0.0134540i
$746$	−3.07878	−	3.07878i	−0.112722	−	0.112722i
$747$	19.0062	−	46.7192i	0.695400	−	1.70937i
$748$	4.16415	−	1.11578i	0.152256	−	0.0407970i
$749$	2.54134	−	2.54134i	0.0928586	−	0.0928586i
$750$	−1.32962	−	0.0829227i	−0.0485508	−	0.00302791i
$751$	43.6668	−	25.2110i	1.59342	−	0.919964i	0.600711	−	0.799466i	$-0.294884\pi$
$751$	43.6668	−	25.2110i	1.59342	−	0.919964i	0.992714	−	0.120498i	$-0.0384491\pi$
$752$	−2.21252	−	0.592844i	−0.0806825	−	0.0216188i
$753$	7.70494	+	15.5002i	0.280784	+	0.564860i
$754$	−5.51483	−	26.9133i	−0.200838	−	0.980123i
$755$			0.293155i			0.0106690i
$756$	4.68190	+	2.25385i	0.170279	+	0.0819717i
$757$	−6.43465	−	11.1451i	−0.233871	−	0.405077i	0.725073	−	0.688672i	$-0.241806\pi$
$757$	−6.43465	−	11.1451i	−0.233871	−	0.405077i	−0.958944	+	0.283595i	$0.908473\pi$
$758$	−1.52371	+	2.63915i	−0.0553437	+	0.0958581i
$759$	−13.4208	−	4.50842i	−0.487143	−	0.163645i
$760$	0.113491	+	0.423555i	0.00411676	+	0.0153639i
$761$	4.42307	+	16.5071i	0.160336	+	0.598382i	0.998589	+	0.0531011i	$0.0169105\pi$
$761$	4.42307	+	16.5071i	0.160336	+	0.598382i	−0.838253	+	0.545281i	$0.816423\pi$
$762$	−23.7478	−	7.97756i	−0.860292	−	0.288997i
$763$	5.09401	−	8.82309i	0.184416	−	0.319417i
$764$	−7.18181	−	12.4393i	−0.259829	−	0.450037i
$765$	0.512109	+	0.658718i	0.0185153	+	0.0238160i
$766$			17.2022i			0.621541i
$767$	0.840151	+	4.10007i	0.0303361	+	0.148045i
$768$	0.770979	+	1.55100i	0.0278203	+	0.0559668i
$769$	6.88610	+	1.84513i	0.248319	+	0.0665370i	0.380832	−	0.924644i	$-0.375638\pi$
$769$	6.88610	+	1.84513i	0.248319	+	0.0665370i	−0.132512	+	0.991181i	$0.542304\pi$
$770$	−0.0795082	+	0.0459041i	−0.00286528	+	0.00165427i
$771$	−3.64114	−	0.227082i	−0.131132	−	0.00817817i
$772$	9.59964	−	9.59964i	0.345498	−	0.345498i
$773$	3.91098	−	1.04794i	0.140668	−	0.0376919i	−0.187798	−	0.982208i	$-0.560135\pi$
$773$	3.91098	−	1.04794i	0.140668	−	0.0376919i	0.328466	+	0.944516i	$0.393468\pi$
$774$	21.9071	+	8.91218i	0.787434	+	0.320342i
$775$	−25.2925	−	25.2925i	−0.908534	−	0.908534i
$776$	10.2301	+	5.90638i	0.367241	+	0.212027i
$777$	−7.72348	−	5.12538i	−0.277078	−	0.183872i
$778$	5.83437	−	21.7742i	0.209172	−	0.780642i
$779$	−41.0520			−1.47084
$780$	0.445657	+	0.179952i	0.0159571	+	0.00644332i
$781$	1.54394			0.0552466
$782$	−6.40892	+	23.9184i	−0.229182	+	0.855320i
$783$	37.3684	−	13.0818i	1.33544	−	0.467506i
$784$	0.866025	+	0.500000i	0.0309295	+	0.0178571i
$785$	−0.157375	−	0.157375i	−0.00561695	−	0.00561695i
$786$	−23.1420	+	20.4249i	−0.825447	+	0.728532i
$787$	35.4455	−	9.49760i	1.26350	−	0.338553i	0.435961	−	0.899966i	$-0.356409\pi$
$787$	35.4455	−	9.49760i	1.26350	−	0.338553i	0.827536	+	0.561413i	$0.189742\pi$
$788$	−3.71085	+	3.71085i	−0.132194	+	0.132194i
$789$	1.78928	−	28.6901i	0.0637000	−	1.02139i
$790$	0.326785	−	0.188670i	0.0116265	−	0.00671256i
$791$	−18.0563	−	4.83817i	−0.642008	−	0.172025i
$792$	2.85297	+	2.16061i	0.101376	+	0.0767740i
$793$	−28.5063	+	43.1996i	−1.01229	+	1.53406i
$794$		−	7.06245i		−	0.250637i
$795$	−0.146850	−	0.726243i	−0.00520822	−	0.0257572i
$796$	−9.47367	−	16.4089i	−0.335785	−	0.581597i
$797$	−20.0193	+	34.6745i	−0.709121	+	1.22823i	0.256063	+	0.966660i	$0.417575\pi$
$797$	−20.0193	+	34.6745i	−0.709121	+	1.22823i	−0.965184	+	0.261573i	$0.915759\pi$
$798$	3.14260	−	9.35495i	0.111247	−	0.331162i
$799$	2.14244	+	7.99569i	0.0757940	+	0.282867i
$800$	1.29256	+	4.82391i	0.0456990	+	0.170551i
$801$	4.60726	+	33.3625i	0.162790	+	1.17880i
$802$	11.5654	−	20.0318i	0.408388	−	0.707349i
$803$	−2.96688	−	5.13879i	−0.104699	−	0.181344i
$804$	3.19330	−	0.645700i	0.112619	−	0.0227721i
$805$		−	0.527336i		−	0.0185862i
$806$	11.5550	+	23.0946i	0.407007	+	0.813473i
$807$	22.1364	−	11.0037i	0.779239	−	0.387349i
$808$	7.61703	+	2.04098i	0.267966	+	0.0718013i
$809$	−2.58891	+	1.49471i	−0.0910213	+	0.0525512i	−0.544820	−	0.838553i	$-0.683402\pi$
$809$	−2.58891	+	1.49471i	−0.0910213	+	0.0525512i	0.453798	+	0.891104i	$0.350069\pi$
$810$	−0.170786	+	0.671257i	−0.00600079	+	0.0235856i
$811$	−14.0954	+	14.0954i	−0.494956	+	0.494956i	−0.909864	−	0.414907i	$-0.863814\pi$
$811$	−14.0954	+	14.0954i	−0.494956	+	0.494956i	0.414907	+	0.909864i	$0.363814\pi$
$812$	7.35986	−	1.97207i	0.258281	−	0.0692061i
$813$	17.6354	+	19.9813i	0.618499	+	0.700776i
$814$	−4.51430	−	4.51430i	−0.158226	−	0.158226i
$815$	0.630629	+	0.364094i	0.0220900	+	0.0127537i
$816$	3.46101	−	5.21543i	0.121160	−	0.182577i
$817$	11.6256	−	43.3873i	0.406728	−	1.51793i
$818$	35.7810			1.25105
$819$	−6.11773	−	8.92039i	−0.213771	−	0.311704i
$820$	0.554501			0.0193640
$821$	5.22065	−	19.4837i	0.182202	−	0.679988i	−0.813010	−	0.582250i	$-0.802173\pi$
$821$	5.22065	−	19.4837i	0.182202	−	0.679988i	0.995212	−	0.0977379i	$-0.0311607\pi$
$822$	6.50096	−	9.79635i	0.226747	−	0.341687i
$823$	22.3289	+	12.8916i	0.778337	+	0.449373i	0.835841	−	0.548972i	$-0.184981\pi$
$823$	22.3289	+	12.8916i	0.778337	+	0.449373i	−0.0575035	+	0.998345i	$0.518314\pi$
$824$	10.8495	+	10.8495i	0.377962	+	0.377962i
$825$	6.82819	+	7.73654i	0.237727	+	0.269352i
$826$	−1.12123	+	0.300433i	−0.0390126	+	0.0104534i
$827$	−28.4711	+	28.4711i	−0.990036	+	0.990036i	−0.999951	−	0.00991494i	$-0.996844\pi$
$827$	−28.4711	+	28.4711i	−0.990036	+	0.990036i	0.00991494	+	0.999951i	$0.496844\pi$
$828$	−18.9412	+	7.98655i	−0.658253	+	0.277552i
$829$	19.3612	−	11.1782i	0.672443	−	0.388235i	−0.124559	−	0.992212i	$-0.539752\pi$
$829$	19.3612	−	11.1782i	0.672443	−	0.388235i	0.797002	+	0.603977i	$0.206418\pi$
$830$	1.24980	+	0.334883i	0.0433812	+	0.0116240i
$831$	−4.95459	+	2.46286i	−0.171873	+	0.0854356i
$832$	0.215073	−	3.59913i	0.00745630	−	0.124777i
$833$		−	3.61383i		−	0.125212i
$834$	−11.4236	+	2.30991i	−0.395568	+	0.0799855i
$835$	0.166684	+	0.288706i	0.00576835	+	0.00999107i
$836$	3.39847	−	5.88632i	0.117539	−	0.203583i
$837$	−30.7466	+	20.9692i	−1.06276	+	0.724800i
$838$	−7.22925	−	26.9799i	−0.249730	−	0.932006i
$839$	12.7732	+	47.6703i	0.440980	+	1.64576i	0.726337	+	0.687339i	$0.241221\pi$
$839$	12.7732	+	47.6703i	0.440980	+	1.64576i	−0.285357	+	0.958421i	$0.592112\pi$
$840$	−0.0424479	+	0.126360i	−0.00146459	+	0.00435983i
$841$	14.5283	−	25.1638i	0.500977	−	0.867717i
$842$	−4.13394	−	7.16020i	−0.142465	−	0.246757i
$843$	−7.99120	−	39.5204i	−0.275231	−	1.36115i
$844$		−	2.47361i		−	0.0851451i
$845$	−0.618166	−	0.786664i	−0.0212655	−	0.0270621i
$846$	−4.14865	+	5.47807i	−0.142633	+	0.188340i
$847$	−9.25060	−	2.47869i	−0.317854	−	0.0851688i
$848$	−4.81379	+	2.77924i	−0.165306	+	0.0954395i
$849$	0.545928	−	8.75366i	0.0187362	−	0.300425i
$850$	12.7617	−	12.7617i	0.437722	−	0.437722i
$851$	35.4205	−	9.49090i	1.21420	−	0.325344i
$852$	1.68071	−	1.48338i	0.0575803	−	0.0508198i
$853$	−5.27929	−	5.27929i	−0.180760	−	0.180760i	0.610927	−	0.791687i	$-0.290797\pi$
$853$	−5.27929	−	5.27929i	−0.180760	−	0.180760i	−0.791687	+	0.610927i	$0.790797\pi$
$854$	−12.4317	−	7.17744i	−0.425404	−	0.245607i
$855$	1.30529	+	0.163447i	0.0446401	+	0.00558977i
$856$	0.930196	−	3.47154i	0.0317934	−	0.118655i
$857$	23.5295			0.803754			0.401877	−	0.915694i	$-0.368358\pi$
$857$	23.5295			0.803754			0.401877	+	0.915694i	$0.368358\pi$
$858$	−2.91227	−	6.85702i	−0.0994232	−	0.234095i
$859$	−21.2322			−0.724433			−0.362217	−	0.932094i	$-0.617980\pi$
$859$	−21.2322			−0.724433			−0.362217	+	0.932094i	$0.617980\pi$
$860$	−0.157030	+	0.586044i	−0.00535468	+	0.0199839i
$861$	−10.3982	−	6.90035i	−0.354369	−	0.235163i
$862$	9.07846	+	5.24145i	0.309214	+	0.178525i
$863$	12.4758	+	12.4758i	0.424680	+	0.424680i	0.886812	−	0.462131i	$-0.152915\pi$
$863$	12.4758	+	12.4758i	0.424680	+	0.424680i	−0.462131	+	0.886812i	$0.652915\pi$
$864$	5.18157	−	0.389057i	0.176280	−	0.0132360i
$865$	−1.18230	+	0.316797i	−0.0401994	+	0.0107714i
$866$	19.6807	−	19.6807i	0.668779	−	0.668779i
$867$	6.81144	+	0.424801i	0.231329	+	0.0144270i
$868$	−6.20273	+	3.58114i	−0.210534	+	0.121552i
$869$	−5.64967	−	1.51383i	−0.191652	−	0.0513530i
$870$	0.452101	+	0.909502i	0.0153277	+	0.0308350i
$871$	−6.43447	−	2.14293i	−0.218024	−	0.0726103i
$872$		−	10.1880i		−	0.345010i
$873$	27.9780	−	21.7510i	0.946910	−	0.736159i
$874$	19.5204	+	33.8104i	0.660288	+	1.14365i
$875$	−0.384574	+	0.666101i	−0.0130010	+	0.0225183i
$876$	−8.16693	−	2.74351i	−0.275935	−	0.0926945i
$877$	14.8997	+	55.6064i	0.503127	+	1.87770i	0.478671	+	0.877995i	$0.341119\pi$
$877$	14.8997	+	55.6064i	0.503127	+	1.87770i	0.0244563	+	0.999701i	$0.492215\pi$
$878$	2.25425	+	8.41299i	0.0760774	+	0.283925i
$879$	−16.4152	−	5.51433i	−0.553670	−	0.185994i
$880$	−0.0459041	+	0.0795082i	−0.00154743	+	0.00268022i
$881$	20.3173	+	35.1906i	0.684508	+	1.18560i	0.973591	+	0.228298i	$0.0733161\pi$
$881$	20.3173	+	35.1906i	0.684508	+	1.18560i	−0.289084	+	0.957304i	$0.593351\pi$
$882$	2.36845	−	1.84131i	0.0797500	−	0.0620002i
$883$		−	44.5059i		−	1.49774i	−0.662715	−	0.748872i	$-0.730596\pi$
$883$		−	44.5059i		−	1.49774i	0.662715	−	0.748872i	$-0.269404\pi$
$884$	−11.6527	+	5.83022i	−0.391923	+	0.196091i
$885$	−0.0688748	−	0.138557i	−0.00231520	−	0.00465755i
$886$	−1.01038	−	0.270730i	−0.0339443	−	0.00909536i
$887$	−1.54224	+	0.890410i	−0.0517832	+	0.0298970i	−0.525668	−	0.850690i	$-0.676185\pi$
$887$	−1.54224	+	0.890410i	−0.0517832	+	0.0298970i	0.473885	+	0.880587i	$0.342851\pi$
$888$	−9.25142	−	0.576972i	−0.310457	−	0.0193619i
$889$	−10.2274	+	10.2274i	−0.343016	+	0.343016i
$890$	−0.834545	+	0.223616i	−0.0279740	+	0.00749561i
$891$	9.22926	−	5.48545i	0.309192	−	0.183769i
$892$	6.47381	+	6.47381i	0.216759	+	0.216759i
$893$	11.3025	+	6.52549i	0.378223	+	0.218367i
$894$	−13.7726	−	9.13964i	−0.460624	−	0.305675i
$895$	0.103523	−	0.386355i	0.00346040	−	0.0129144i
$896$	1.00000			0.0334077
$897$	42.4731	+	5.20633i	1.41814	+	0.173834i
$898$	40.0699			1.33715
$899$	−14.1245	+	52.7135i	−0.471080	+	1.75809i
$900$	14.8661	+	1.86152i	0.495538	+	0.0620505i
$901$	17.3962	+	10.0437i	0.579552	+	0.334604i
$902$	−6.07764	−	6.07764i	−0.202363	−	0.202363i
$903$	10.2376	−	9.03558i	0.340685	−	0.300685i
$904$	−18.0563	+	4.83817i	−0.600543	+	0.160915i
$905$	−1.31698	+	1.31698i	−0.0437779	+	0.0437779i
$906$	0.410671	−	6.58489i	0.0136436	−	0.218768i
$907$	−36.8015	+	21.2473i	−1.22197	+	0.705506i	−0.965338	−	0.261003i	$-0.915947\pi$
$907$	−36.8015	+	21.2473i	−1.22197	+	0.705506i	−0.256634	+	0.966509i	$0.582614\pi$
$908$	−13.4021	−	3.59107i	−0.444763	−	0.119174i
$909$	14.2825	−	18.8593i	0.473721	−	0.625523i
$910$	0.207566	−	0.184158i	0.00688074	−	0.00610477i
$911$		−	45.1666i		−	1.49644i	−0.663453	−	0.748218i	$-0.730910\pi$
$911$		−	45.1666i		−	1.49644i	0.663453	−	0.748218i	$-0.269090\pi$
$912$	−1.95591	−	9.67292i	−0.0647666	−	0.320302i
$913$	−10.0280	−	17.3690i	−0.331879	−	0.574831i
$914$	12.7766	−	22.1298i	0.422613	−	0.731987i
$915$	0.609335	−	1.81388i	0.0201440	−	0.0599651i
$916$	−4.39176	−	16.3903i	−0.145108	−	0.541550i
$917$	4.61233	+	17.2134i	0.152312	+	0.568438i
$918$	−10.5803	−	15.5136i	−0.349201	−	0.512025i
$919$	−19.5296	+	33.8263i	−0.644222	+	1.11583i	0.340258	+	0.940332i	$0.389486\pi$
$919$	−19.5296	+	33.8263i	−0.644222	+	1.11583i	−0.984481	+	0.175494i	$0.943848\pi$
$920$	−0.263668	−	0.456686i	−0.00869288	−	0.0150565i
$921$	25.2344	−	5.10250i	0.831501	−	0.168133i
$922$			22.2489i			0.732729i
$923$	−4.57148	+	0.936749i	−0.150472	+	0.0308335i
$924$	1.85023	−	0.919723i	0.0608681	−	0.0302567i
$925$	−25.8160	−	6.91739i	−0.848826	−	0.227442i
$926$	−18.7822	+	10.8439i	−0.617222	+	0.356353i
$927$	42.4145	−	17.8840i	1.39308	−	0.587388i
$928$	5.38779	−	5.38779i	0.176863	−	0.176863i
$929$	31.9073	−	8.54953i	1.04684	−	0.280501i	0.305897	−	0.952065i	$-0.401044\pi$
$929$	31.9073	−	8.54953i	1.04684	−	0.280501i	0.740947	+	0.671563i	$0.234377\pi$
$930$	−0.631764	−	0.715806i	−0.0207164	−	0.0234722i
$931$	−4.02888	−	4.02888i	−0.132041	−	0.132041i
$932$	−21.0796	−	12.1703i	−0.690486	−	0.398652i
$933$	2.21756	−	3.34166i	0.0725996	−	0.109401i
$934$	−3.16772	+	11.8221i	−0.103651	+	0.386831i
$935$	0.331779			0.0108503
$936$	−9.75831	−	4.66642i	−0.318960	−	0.152527i
$937$	−23.2946			−0.761001			−0.380501	−	0.924781i	$-0.624248\pi$
$937$	−23.2946			−0.761001			−0.380501	+	0.924781i	$0.624248\pi$
$938$	0.486830	−	1.81688i	0.0158956	−	0.0593231i
$939$	12.0669	−	18.1836i	0.393787	−	0.593401i
$940$	−0.152666	−	0.0881416i	−0.00497941	−	0.00287486i
$941$	−7.57589	−	7.57589i	−0.246967	−	0.246967i	0.572758	−	0.819725i	$-0.305874\pi$
$941$	−7.57589	−	7.57589i	−0.246967	−	0.246967i	−0.819725	+	0.572758i	$0.805874\pi$
$942$	3.31451	+	3.75543i	0.107993	+	0.122359i
$943$	47.6870	−	12.7777i	1.55290	−	0.416099i
$944$	−0.820798	+	0.820798i	−0.0267147	+	0.0267147i
$945$	0.303149	+	0.260804i	0.00986143	+	0.00848397i
$946$	8.14451	−	4.70223i	0.264801	−	0.152883i
$947$	−38.0315	−	10.1905i	−1.23586	−	0.331147i	−0.419000	−	0.907986i	$-0.637619\pi$
$947$	−38.0315	−	10.1905i	−1.23586	−	0.331147i	−0.816858	+	0.576839i	$0.804286\pi$
$948$	−7.60460	+	3.78014i	−0.246986	+	0.122773i
$949$	11.9025	+	13.4154i	0.386372	+	0.435484i
$950$		−	28.4547i		−	0.923192i
$951$	49.8620	−	10.0823i	1.61689	−	0.326942i
$952$	−1.80692	−	3.12967i	−0.0585625	−	0.101433i
$953$	15.0128	−	26.0030i	0.486313	−	0.842318i	−0.513564	−	0.858052i	$-0.671675\pi$
$953$	15.0128	−	26.0030i	0.486313	−	0.842318i	0.999876	+	0.0157333i	$0.00500827\pi$
$954$	2.28118	+	16.5187i	0.0738560	+	0.534812i
$955$	−0.286106	−	1.06776i	−0.00925817	−	0.0345520i
$956$	6.56489	+	24.5005i	0.212324	+	0.792403i
$957$	5.01337	−	14.9239i	0.162059	−	0.482422i
$958$	13.2861	−	23.0122i	0.429255	−	0.743491i
$959$	−3.39400	−	5.87858i	−0.109598	−	0.189829i
$960$	0.0264190	+	0.130655i	0.000852670	+	0.00421687i
$961$		−	20.2984i		−	0.654787i
$962$	16.1054	+	10.6275i	0.519258	+	0.342644i
$963$	−8.59531	−	6.50939i	−0.276980	−	0.209762i
$964$	16.2584	+	4.35642i	0.523648	+	0.140311i
$965$	0.904831	−	0.522404i	0.0291275	−	0.0168168i
$966$	−0.738728	+	11.8451i	−0.0237682	+	0.381109i
$967$	12.9625	−	12.9625i	0.416847	−	0.416847i	−0.467268	−	0.884116i	$-0.654762\pi$
$967$	12.9625	−	12.9625i	0.416847	−	0.416847i	0.884116	+	0.467268i	$0.154762\pi$
$968$	−9.25060	+	2.47869i	−0.297325	+	0.0796681i
$969$	−26.7389	+	23.5995i	−0.858977	+	0.758125i
$970$	0.642840	+	0.642840i	0.0206404	+	0.0206404i
$971$	49.4482	+	28.5489i	1.58687	+	0.916179i	0.993819	+	0.111012i	$0.0354092\pi$
$971$	49.4482	+	28.5489i	1.58687	+	0.916179i	0.593049	+	0.805167i	$0.297924\pi$
$972$	4.77655	−	14.8386i	0.153208	−	0.475949i
$973$	−1.74157	+	6.49963i	−0.0558322	+	0.208369i
$974$	−5.57444			−0.178617
$975$	−24.9116	−	18.7644i	−0.797811	−	0.600941i
$976$	−14.3549			−0.459488
$977$	−3.42016	+	12.7642i	−0.109421	+	0.408363i	−0.998809	−	0.0487888i	$-0.984464\pi$
$977$	−3.42016	+	12.7642i	−0.109421	+	0.408363i	0.889388	+	0.457152i	$0.151131\pi$
$978$	−13.6552	−	9.06175i	−0.436646	−	0.289763i
$979$	11.5980	+	6.69612i	0.370674	+	0.214009i
$980$	0.0544192	+	0.0544192i	0.00173836	+	0.00173836i
$981$	−28.3110	−	11.5174i	−0.903901	−	0.367722i
$982$	−7.45928	+	1.99871i	−0.238035	+	0.0637814i
$983$	14.1724	−	14.1724i	0.452030	−	0.452030i	−0.443998	−	0.896028i	$-0.646440\pi$
$983$	14.1724	−	14.1724i	0.452030	−	0.452030i	0.896028	+	0.443998i	$0.146440\pi$
$984$	−12.4553	−	0.776782i	−0.397060	−	0.0247629i
$985$	−0.349773	+	0.201941i	−0.0111447	+	0.00643438i
$986$	−26.5973	−	7.12673i	−0.847031	−	0.226961i
$987$	1.76598	+	3.55267i	0.0562119	+	0.113083i
$988$	−6.49119	+	19.4908i	−0.206512	+	0.620086i
$989$			54.0182i			1.71768i
$990$	0.169048	+	0.217443i	0.00537268	+	0.00691080i
$991$	15.7390	+	27.2607i	0.499965	+	0.865965i	1.00000		4.04185e-5i	$-1.28656e-5\pi$
$991$	15.7390	+	27.2607i	0.499965	+	0.865965i	−0.500035	+	0.866005i	$0.666680\pi$
$992$	−3.58114	+	6.20273i	−0.113701	+	0.196937i
$993$	41.6587	+	13.9944i	1.32200	+	0.444098i
$994$	−0.334976	−	1.25015i	−0.0106248	−	0.0396522i
$995$	−0.377408	−	1.40851i	−0.0119646	−	0.0446526i
$996$	−27.6041	−	9.27299i	−0.874668	−	0.293826i
$997$	−27.4270	+	47.5050i	−0.868623	+	1.50450i	−0.00521821	+	0.999986i	$0.501661\pi$
$997$	−27.4270	+	47.5050i	−0.868623	+	1.50450i	−0.863405	+	0.504512i	$0.831672\pi$
$998$	−11.9642	−	20.7227i	−0.378721	−	0.655965i
$999$	−12.0619	+	25.0560i	−0.381622	+	0.792738i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	546.2.bu.a.197.5	✓	56
3.2	odd	2		546.2.bu.b.197.8	yes	56
13.7	odd	12		546.2.bu.b.449.8	yes	56
39.20	even	12	inner	546.2.bu.a.449.5	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
546.2.bu.a.197.5	✓	56	1.1	even	1	trivial
546.2.bu.a.449.5	yes	56	39.20	even	12	inner
546.2.bu.b.197.8	yes	56	3.2	odd	2
546.2.bu.b.449.8	yes	56	13.7	odd	12

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:	\( N \)	\(=\)	\( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	546.bu (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.258819 + 0.965926i) q^{2} +(0.957713 - 1.44319i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.0544192 - 0.0544192i) q^{5} +(1.14614 + 1.29860i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.16557 - 2.76432i) q^{9} +O(q^{10})\)	\(q+(-0.258819 + 0.965926i) q^{2} +(0.957713 - 1.44319i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.0544192 - 0.0544192i) q^{5} +(1.14614 + 1.29860i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.16557 - 2.76432i) q^{9} +(0.0666496 - 0.0384802i) q^{10} +(-1.15228 - 0.308753i) q^{11} +(-1.55100 + 0.770979i) q^{12} +(3.59913 + 0.215073i) q^{13} +1.00000i q^{14} +(-0.130655 + 0.0264190i) q^{15} +(0.500000 + 0.866025i) q^{16} +(1.80692 - 3.12967i) q^{17} +(2.97180 - 0.410397i) q^{18} +(-1.47467 - 5.50355i) q^{19} +(0.0199188 + 0.0743380i) q^{20} +(0.551556 - 1.64188i) q^{21} +(0.596464 - 1.03311i) q^{22} +(3.42603 + 5.93405i) q^{23} +(-0.343281 - 1.69769i) q^{24} -4.99408i q^{25} +(-1.13927 + 3.42083i) q^{26} +(-5.10570 - 0.965288i) q^{27} +(-0.965926 - 0.258819i) q^{28} +(-6.59867 + 3.80975i) q^{29} +(0.00829718 - 0.133041i) q^{30} +(5.06450 - 5.06450i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-1.54914 + 1.36726i) q^{33} +(2.55536 + 2.55536i) q^{34} +(-0.0666496 - 0.0384802i) q^{35} +(-0.372745 + 2.97675i) q^{36} +(1.38512 - 5.16933i) q^{37} +5.69769 q^{38} +(3.75733 - 4.98824i) q^{39} -0.0769603 q^{40} +(1.86480 - 6.95952i) q^{41} +(1.44319 + 0.957713i) q^{42} +(6.82732 + 3.94176i) q^{43} +(0.843528 + 0.843528i) q^{44} +(-0.0870024 + 0.213861i) q^{45} +(-6.61857 + 1.77344i) q^{46} +(-1.61968 + 1.61968i) q^{47} +(1.72869 + 0.107811i) q^{48} +(0.866025 - 0.500000i) q^{49} +(4.82391 + 1.29256i) q^{50} +(-2.78619 - 5.60504i) q^{51} +(-3.00940 - 1.98582i) q^{52} +5.55848i q^{53} +(2.25385 - 4.68190i) q^{54} +(0.0459041 + 0.0795082i) q^{55} +(0.500000 - 0.866025i) q^{56} +(-9.35495 - 3.14260i) q^{57} +(-1.97207 - 7.35986i) q^{58} +(0.300433 + 1.12123i) q^{59} +(0.126360 + 0.0424479i) q^{60} +(-7.17744 + 12.4317i) q^{61} +(3.58114 + 6.20273i) q^{62} +(-1.84131 - 2.36845i) q^{63} -1.00000i q^{64} +(-0.184158 - 0.207566i) q^{65} +(-0.919723 - 1.85023i) q^{66} +(-1.81688 - 0.486830i) q^{67} +(-3.12967 + 1.80692i) q^{68} +(11.8451 + 0.738728i) q^{69} +(0.0544192 - 0.0544192i) q^{70} +(-1.25015 + 0.334976i) q^{71} +(-2.77885 - 1.13048i) q^{72} +(3.51723 + 3.51723i) q^{73} +(4.63470 + 2.67584i) q^{74} +(-7.20738 - 4.78289i) q^{75} +(-1.47467 + 5.50355i) q^{76} -1.19293 q^{77} +(3.84580 + 4.92035i) q^{78} +4.90304 q^{79} +(0.0199188 - 0.0743380i) q^{80} +(-6.28289 + 6.44401i) q^{81} +(6.23974 + 3.60251i) q^{82} +(11.8882 + 11.8882i) q^{83} +(-1.29860 + 1.14614i) q^{84} +(-0.268645 + 0.0719832i) q^{85} +(-5.57448 + 5.57448i) q^{86} +(-0.821466 + 13.1718i) q^{87} +(-1.03311 + 0.596464i) q^{88} +(-10.8438 - 2.90560i) q^{89} +(-0.184056 - 0.139389i) q^{90} +(3.53216 - 0.723780i) q^{91} -6.85205i q^{92} +(-2.45868 - 12.1594i) q^{93} +(-1.14529 - 1.98369i) q^{94} +(-0.219248 + 0.379749i) q^{95} +(-0.551556 + 1.64188i) q^{96} +(3.05737 + 11.4102i) q^{97} +(0.258819 + 0.965926i) q^{98} +(0.489574 + 3.54514i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 8 q^{6} + 24 q^{9}+O(q^{10}) \) 56 * q - 8 * q^6 + 24 * q^9	\( 56 q - 8 q^{6} + 24 q^{9} + 24 q^{10} - 8 q^{11} + 24 q^{13} - 4 q^{15} + 28 q^{16} + 4 q^{17} + 8 q^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 16 q^{79} + 12 q^{81} + 4 q^{83} - 4 q^{84} + 32 q^{85} + 16 q^{86} + 144 q^{87} - 88 q^{89} + 8 q^{90} - 8 q^{91} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 q^{99}+O(q^{100}) \) 56 * q - 8 * q^6 + 24 * q^9 + 24 * q^10 - 8 * q^11 + 24 * q^13 - 4 * q^15 + 28 * q^16 + 4 * q^17 + 8 * q^19 + 4 * q^21 + 8 * q^23 + 8 * q^24 + 4 * q^26 - 24 * q^27 - 16 * q^30 - 8 * q^31 - 32 * q^33 - 24 * q^34 - 24 * q^35 - 12 * q^36 - 8 * q^37 - 60 * q^39 + 28 * q^41 - 8 * q^44 - 40 * q^45 - 20 * q^46 - 64 * q^50 + 8 * q^54 + 8 * q^55 + 28 * q^56 + 40 * q^57 + 4 * q^58 + 8 * q^59 + 4 * q^60 + 8 * q^61 + 32 * q^62 + 24 * q^65 + 32 * q^66 - 56 * q^69 + 112 * q^71 + 16 * q^72 + 8 * q^73 - 48 * q^74 - 40 * q^75 + 8 * q^76 - 8 * q^78 + 16 * q^79 + 12 * q^81 + 4 * q^83 - 4 * q^84 + 32 * q^85 + 16 * q^86 + 144 * q^87 - 88 * q^89 + 8 * q^90 - 8 * q^91 - 76 * q^93 - 8 * q^94 + 48 * q^95 - 4 * q^96 - 64 * q^97 - 40 * q^99

Introduction

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