LMFDB - Embedded newform 315.2.cb.a.202.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [315,2,Mod(13,315)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(315, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 9, 6]))

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

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

chi := DirichletCharacter("315.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 315 = 3^{2} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	315.cb (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:	$2.51528766367$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			202.12
Character	$\chi$	$=$	315.202
Dual form			315.2.cb.a.223.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.377876 + 1.41025i) q^{2} +(1.62800 - 0.591295i) q^{3} +(-0.113968 - 0.0657996i) q^{4} +(2.18439 + 0.477942i) q^{5} +(0.218695 + 2.51932i) q^{6} +(-0.794356 + 2.52369i) q^{7} +(-1.92889 + 1.92889i) q^{8} +(2.30074 - 1.92525i) q^{9} +O(q^{10})$	\(q+(-0.377876 + 1.41025i) q^{2} +(1.62800 - 0.591295i) q^{3} +(-0.113968 - 0.0657996i) q^{4} +(2.18439 + 0.477942i) q^{5} +(0.218695 + 2.51932i) q^{6} +(-0.794356 + 2.52369i) q^{7} +(-1.92889 + 1.92889i) q^{8} +(2.30074 - 1.92525i) q^{9} +(-1.49945 + 2.89994i) q^{10} +(-1.95430 - 3.38495i) q^{11} +(-0.224447 - 0.0397326i) q^{12} +(-0.354054 + 0.0948685i) q^{13} +(-3.25887 - 2.07388i) q^{14} +(3.83879 - 0.513534i) q^{15} +(-2.12294 - 3.67704i) q^{16} +(-1.41297 + 1.41297i) q^{17} +(1.84570 + 3.97213i) q^{18} +3.83464 q^{19} +(-0.217503 - 0.198202i) q^{20} +(0.199035 + 4.57825i) q^{21} +(5.51212 - 1.47697i) q^{22} +(-1.67073 - 6.23526i) q^{23} +(-1.99968 + 4.28077i) q^{24} +(4.54314 + 2.08803i) q^{25} -0.535154i q^{26} +(2.60720 - 4.49472i) q^{27} +(0.256589 - 0.235352i) q^{28} +(-3.97286 + 2.29373i) q^{29} +(-0.726373 + 5.60771i) q^{30} +(1.80914 + 1.04451i) q^{31} +(0.717928 - 0.192368i) q^{32} +(-5.18310 - 4.35512i) q^{33} +(-1.45872 - 2.52657i) q^{34} +(-2.94136 + 5.13307i) q^{35} +(-0.388892 + 0.0680298i) q^{36} +(-0.0303530 - 0.0303530i) q^{37} +(-1.44902 + 5.40781i) q^{38} +(-0.520303 + 0.363796i) q^{39} +(-5.13535 + 3.29156i) q^{40} +(-9.89957 - 5.71552i) q^{41} +(-6.53170 - 1.44932i) q^{42} +(0.456457 + 0.122307i) q^{43} +0.514369i q^{44} +(5.94588 - 3.10589i) q^{45} +9.42462 q^{46} +(11.3193 + 3.03299i) q^{47} +(-5.63035 - 4.73092i) q^{48} +(-5.73800 - 4.00941i) q^{49} +(-4.66138 + 5.61796i) q^{50} +(-1.46483 + 3.13579i) q^{51} +(0.0465932 + 0.0124846i) q^{52} +(-8.71292 + 8.71292i) q^{53} +(5.35348 + 5.37526i) q^{54} +(-2.65116 - 8.32811i) q^{55} +(-3.33569 - 6.40015i) q^{56} +(6.24278 - 2.26740i) q^{57} +(-1.73349 - 6.46947i) q^{58} +(4.90552 - 8.49662i) q^{59} +(-0.471290 - 0.194064i) q^{60} +(5.75087 - 3.32027i) q^{61} +(-2.15664 + 2.15664i) q^{62} +(3.03113 + 7.33568i) q^{63} -7.40661i q^{64} +(-0.818735 + 0.0380128i) q^{65} +(8.10038 - 5.66379i) q^{66} +(-3.81623 + 1.02256i) q^{67} +(0.254006 - 0.0680608i) q^{68} +(-6.40683 - 9.16308i) q^{69} +(-6.12745 - 6.08772i) q^{70} +2.12555 q^{71} +(-0.724276 + 8.15148i) q^{72} +(8.94714 + 8.94714i) q^{73} +(0.0542751 - 0.0313357i) q^{74} +(8.63086 + 0.712958i) q^{75} +(-0.437027 - 0.252318i) q^{76} +(10.0950 - 2.24319i) q^{77} +(-0.316434 - 0.871228i) q^{78} +(-3.15769 + 1.82309i) q^{79} +(-2.87992 - 9.04674i) q^{80} +(1.58681 - 8.85901i) q^{81} +(11.8011 - 11.8011i) q^{82} +(3.53109 - 13.1782i) q^{83} +(0.278563 - 0.534871i) q^{84} +(-3.76180 + 2.41116i) q^{85} +(-0.344968 + 0.597502i) q^{86} +(-5.11152 + 6.08331i) q^{87} +(10.2988 + 2.75957i) q^{88} -1.00672 q^{89} +(2.13328 + 9.55882i) q^{90} +(0.0418267 - 0.968881i) q^{91} +(-0.219867 + 0.820555i) q^{92} +(3.56288 + 0.630717i) q^{93} +(-8.55454 + 14.8169i) q^{94} +(8.37636 + 1.83273i) q^{95} +(1.05504 - 0.737682i) q^{96} +(-11.7802 - 3.15650i) q^{97} +(7.82253 - 6.57696i) q^{98} +(-11.0132 - 4.02537i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8}+O(q^{10}) $ 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8	$ 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8} - 12 q^{11} - 20 q^{15} + 56 q^{16} - 8 q^{18} + 12 q^{22} - 12 q^{23} - 4 q^{25} - 32 q^{28} - 56 q^{30} + 48 q^{32} - 8 q^{35} - 80 q^{36} - 16 q^{37} + 38 q^{42} - 4 q^{43} - 80 q^{46} - 76 q^{50} - 28 q^{51} + 64 q^{53} - 52 q^{56} - 112 q^{57} - 44 q^{58} - 40 q^{60} + 24 q^{63} + 20 q^{65} - 4 q^{67} + 18 q^{70} - 64 q^{71} - 20 q^{72} + 26 q^{77} + 76 q^{78} - 64 q^{81} - 4 q^{85} + 80 q^{86} - 60 q^{88} - 16 q^{91} - 68 q^{92} + 88 q^{93} + 40 q^{95} - 120 q^{98}+O(q^{100}) $ 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8 - 12 * q^11 - 20 * q^15 + 56 * q^16 - 8 * q^18 + 12 * q^22 - 12 * q^23 - 4 * q^25 - 32 * q^28 - 56 * q^30 + 48 * q^32 - 8 * q^35 - 80 * q^36 - 16 * q^37 + 38 * q^42 - 4 * q^43 - 80 * q^46 - 76 * q^50 - 28 * q^51 + 64 * q^53 - 52 * q^56 - 112 * q^57 - 44 * q^58 - 40 * q^60 + 24 * q^63 + 20 * q^65 - 4 * q^67 + 18 * q^70 - 64 * q^71 - 20 * q^72 + 26 * q^77 + 76 * q^78 - 64 * q^81 - 4 * q^85 + 80 * q^86 - 60 * q^88 - 16 * q^91 - 68 * q^92 + 88 * q^93 + 40 * q^95 - 120 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/315\mathbb{Z}\right)^\times$.

$n$	$127$	$136$	$281$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.377876	+	1.41025i	−0.267198	+	0.997198i	0.693692	+	0.720271i	$0.255983\pi$
$2$	−0.377876	+	1.41025i	−0.267198	+	0.997198i	−0.960891	+	0.276927i	$0.910684\pi$
$3$	1.62800	−	0.591295i	0.939924	−	0.341384i
$3$	1.62800	−	0.591295i	0.939924	−	0.341384i
$4$	−0.113968	−	0.0657996i	−0.0569841	−	0.0328998i
$5$	2.18439	+	0.477942i	0.976890	+	0.213742i
$5$	2.18439	+	0.477942i	0.976890	+	0.213742i
$6$	0.218695	+	2.51932i	0.0892818	+	1.02851i
$7$	−0.794356	+	2.52369i	−0.300238	+	0.953864i
$7$	−0.794356	+	2.52369i	−0.300238	+	0.953864i
$8$	−1.92889	+	1.92889i	−0.681966	+	0.681966i
$9$	2.30074	−	1.92525i	0.766913	−	0.641751i
$10$	−1.49945	+	2.89994i	−0.474167	+	0.917042i
$11$	−1.95430	−	3.38495i	−0.589245	−	1.02060i	−0.994332	−	0.106324i	$-0.966092\pi$
$11$	−1.95430	−	3.38495i	−0.589245	−	1.02060i	0.405087	−	0.914278i	$-0.367241\pi$
$12$	−0.224447	−	0.0397326i	−0.0647922	−	0.0114698i
$13$	−0.354054	+	0.0948685i	−0.0981969	+	0.0263118i	−0.307583	−	0.951521i	$-0.599520\pi$
$13$	−0.354054	+	0.0948685i	−0.0981969	+	0.0263118i	0.209386	+	0.977833i	$0.432853\pi$
$14$	−3.25887	−	2.07388i	−0.870968	−	0.554268i
$15$	3.83879	−	0.513534i	0.991170	−	0.132594i
$16$	−2.12294	−	3.67704i	−0.530735	−	0.919260i
$17$	−1.41297	+	1.41297i	−0.342696	+	0.342696i	−0.857380	−	0.514684i	$-0.827909\pi$
$17$	−1.41297	+	1.41297i	−0.342696	+	0.342696i	0.514684	+	0.857380i	$0.327909\pi$
$18$	1.84570	+	3.97213i	0.435035	+	0.936240i
$19$	3.83464			0.879727			0.439863	−	0.898065i	$-0.355027\pi$
$19$	3.83464			0.879727			0.439863	+	0.898065i	$0.355027\pi$
$20$	−0.217503	−	0.198202i	−0.0486351	−	0.0443194i
$21$	0.199035	+	4.57825i	0.0434331	+	0.999056i
$22$	5.51212	−	1.47697i	1.17519	−	0.314891i
$23$	−1.67073	−	6.23526i	−0.348372	−	1.30014i	−0.888623	−	0.458638i	$-0.848337\pi$
$23$	−1.67073	−	6.23526i	−0.348372	−	1.30014i	0.540251	−	0.841504i	$-0.318329\pi$
$24$	−1.99968	+	4.28077i	−0.408184	+	0.873809i
$25$	4.54314	+	2.08803i	0.908629	+	0.417605i
$26$		−	0.535154i		−	0.104952i
$27$	2.60720	−	4.49472i	0.501756	−	0.865009i
$28$	0.256589	−	0.235352i	0.0484907	−	0.0444773i
$29$	−3.97286	+	2.29373i	−0.737741	+	0.425935i	−0.821247	−	0.570572i	$-0.806721\pi$
$29$	−3.97286	+	2.29373i	−0.737741	+	0.425935i	0.0835066	+	0.996507i	$0.473388\pi$
$30$	−0.726373	+	5.60771i	−0.132617	+	1.02382i
$31$	1.80914	+	1.04451i	0.324931	+	0.187599i	0.653588	−	0.756850i	$-0.273263\pi$
$31$	1.80914	+	1.04451i	0.324931	+	0.187599i	−0.328658	+	0.944449i	$0.606596\pi$
$32$	0.717928	−	0.192368i	0.126913	−	0.0340062i
$33$	−5.18310	−	4.35512i	−0.902263	−	0.758129i
$34$	−1.45872	−	2.52657i	−0.250168	−	0.433303i
$35$	−2.94136	+	5.13307i	−0.497181	+	0.867647i
$36$	−0.388892	+	0.0680298i	−0.0648153	+	0.0113383i
$37$	−0.0303530	−	0.0303530i	−0.00499001	−	0.00499001i	0.704607	−	0.709597i	$-0.251123\pi$
$37$	−0.0303530	−	0.0303530i	−0.00499001	−	0.00499001i	−0.709597	+	0.704607i	$0.751123\pi$
$38$	−1.44902	+	5.40781i	−0.235062	+	0.877262i
$39$	−0.520303	+	0.363796i	−0.0833152	+	0.0582540i
$40$	−5.13535	+	3.29156i	−0.811971	+	0.520441i
$41$	−9.89957	−	5.71552i	−1.54605	−	0.892614i	−0.998437	−	0.0558847i	$-0.982202\pi$
$41$	−9.89957	−	5.71552i	−1.54605	−	0.892614i	−0.547616	−	0.836730i	$-0.684465\pi$
$42$	−6.53170	−	1.44932i	−1.00786	−	0.223635i
$43$	0.456457	+	0.122307i	0.0696090	+	0.0186517i	0.293455	−	0.955973i	$-0.405195\pi$
$43$	0.456457	+	0.122307i	0.0696090	+	0.0186517i	−0.223846	+	0.974624i	$0.571861\pi$
$44$			0.514369i			0.0775441i
$45$	5.94588	−	3.10589i	0.886359	−	0.462998i
$46$	9.42462			1.38958
$47$	11.3193	+	3.03299i	1.65108	+	0.442406i	0.959916	−	0.280288i	$-0.0904301\pi$
$47$	11.3193	+	3.03299i	1.65108	+	0.442406i	0.691167	+	0.722695i	$0.257097\pi$
$48$	−5.63035	−	4.73092i	−0.812671	−	0.682850i
$49$	−5.73800	−	4.00941i	−0.819714	−	0.572773i
$50$	−4.66138	+	5.61796i	−0.659219	+	0.794500i
$51$	−1.46483	+	3.13579i	−0.205117	+	0.439099i
$52$	0.0465932	+	0.0124846i	0.00646132	+	0.00173130i
$53$	−8.71292	+	8.71292i	−1.19681	+	1.19681i	−0.221696	+	0.975116i	$0.571159\pi$
$53$	−8.71292	+	8.71292i	−1.19681	+	1.19681i	−0.975116	+	0.221696i	$0.928841\pi$
$54$	5.35348	+	5.37526i	0.728517	+	0.731480i
$55$	−2.65116	−	8.32811i	−0.357482	−	1.12296i
$56$	−3.33569	−	6.40015i	−0.445751	−	0.855256i
$57$	6.24278	−	2.26740i	0.826876	−	0.300325i
$58$	−1.73349	−	6.46947i	−0.227618	−	0.849483i
$59$	4.90552	−	8.49662i	0.638645	−	1.10617i	−0.347086	−	0.937833i	$-0.612829\pi$
$59$	4.90552	−	8.49662i	0.638645	−	1.10617i	0.985730	−	0.168332i	$-0.0538380\pi$
$60$	−0.471290	−	0.194064i	−0.0608433	−	0.0250536i
$61$	5.75087	−	3.32027i	0.736323	−	0.425116i	−0.0844077	−	0.996431i	$-0.526900\pi$
$61$	5.75087	−	3.32027i	0.736323	−	0.425116i	0.820731	+	0.571315i	$0.193566\pi$
$62$	−2.15664	+	2.15664i	−0.273894	+	0.273894i
$63$	3.03113	+	7.33568i	0.381886	+	0.924209i
$64$		−	7.40661i		−	0.925826i
$65$	−0.818735	+	0.0380128i	−0.101552	+	0.00471491i
$66$	8.10038	−	5.66379i	0.997088	−	0.697164i
$67$	−3.81623	+	1.02256i	−0.466227	+	0.124925i	−0.484282	−	0.874912i	$-0.660919\pi$
$67$	−3.81623	+	1.02256i	−0.466227	+	0.124925i	0.0180555	+	0.999837i	$0.494252\pi$
$68$	0.254006	−	0.0680608i	0.0308028	−	0.00825359i
$69$	−6.40683	−	9.16308i	−0.771291	−	1.10311i
$70$	−6.12745	−	6.08772i	−0.732370	−	0.727622i
$71$	2.12555			0.252256			0.126128	−	0.992014i	$-0.459745\pi$
$71$	2.12555			0.252256			0.126128	+	0.992014i	$0.459745\pi$
$72$	−0.724276	+	8.15148i	−0.0853568	+	0.960661i
$73$	8.94714	+	8.94714i	1.04718	+	1.04718i	0.998830	+	0.0483534i	$0.0153974\pi$
$73$	8.94714	+	8.94714i	1.04718	+	1.04718i	0.0483534	+	0.998830i	$0.484603\pi$
$74$	0.0542751	−	0.0313357i	0.00630935	−	0.00364270i
$75$	8.63086	+	0.712958i	0.996606	+	0.0823252i
$76$	−0.437027	−	0.252318i	−0.0501304	−	0.0289428i
$77$	10.0950	−	2.24319i	1.15043	−	0.255635i
$78$	−0.316434	−	0.871228i	−0.0358291	−	0.0986472i
$79$	−3.15769	+	1.82309i	−0.355268	+	0.205114i	−0.667003	−	0.745055i	$-0.732423\pi$
$79$	−3.15769	+	1.82309i	−0.355268	+	0.205114i	0.311735	+	0.950169i	$0.399090\pi$
$80$	−2.87992	−	9.04674i	−0.321985	−	1.01146i
$81$	1.58681	−	8.85901i	0.176312	−	0.984334i
$82$	11.8011	−	11.8011i	1.30322	−	1.30322i
$83$	3.53109	−	13.1782i	0.387587	−	1.44649i	−0.446461	−	0.894803i	$-0.647316\pi$
$83$	3.53109	−	13.1782i	0.387587	−	1.44649i	0.834048	−	0.551692i	$-0.186018\pi$
$84$	0.278563	−	0.534871i	0.0303937	−	0.0583593i
$85$	−3.76180	+	2.41116i	−0.408024	+	0.261528i
$86$	−0.344968	+	0.597502i	−0.0371988	+	0.0644303i
$87$	−5.11152	+	6.08331i	−0.548013	+	0.652199i
$88$	10.2988	+	2.75957i	1.09786	+	0.294171i
$89$	−1.00672			−0.106712			−0.0533561	−	0.998576i	$-0.516992\pi$
$89$	−1.00672			−0.106712			−0.0533561	+	0.998576i	$0.516992\pi$
$90$	2.13328	+	9.55882i	0.224867	+	1.00759i
$91$	0.0418267	−	0.968881i	0.00438463	−	0.101566i
$92$	−0.219867	+	0.820555i	−0.0229227	+	0.0855488i
$93$	3.56288	+	0.630717i	0.369453	+	0.0654023i
$94$	−8.55454	+	14.8169i	−0.882334	+	1.52825i
$95$	8.37636	+	1.83273i	0.859396	+	0.188035i
$96$	1.05504	−	0.737682i	0.107679	−	0.0752894i
$97$	−11.7802	−	3.15650i	−1.19610	−	0.320494i	−0.394806	−	0.918765i	$-0.629188\pi$
$97$	−11.7802	−	3.15650i	−1.19610	−	0.320494i	−0.801294	+	0.598271i	$0.795855\pi$
$98$	7.82253	−	6.57696i	0.790195	−	0.664373i
$99$	−11.0132	−	4.02537i	−1.10687	−	0.404565i
$100$	−0.380383	−	0.536905i	−0.0380383	−	0.0536905i
$101$	−5.32516	+	3.07448i	−0.529873	+	0.305923i	−0.740965	−	0.671544i	$-0.765632\pi$
$101$	−5.32516	+	3.07448i	−0.529873	+	0.305923i	0.211091	+	0.977466i	$0.432298\pi$
$102$	−3.86873	−	3.25071i	−0.383062	−	0.321869i
$103$	−3.90090	+	1.04524i	−0.384367	+	0.102991i	−0.445828	−	0.895119i	$-0.647091\pi$
$103$	−3.90090	+	1.04524i	−0.384367	+	0.102991i	0.0614609	+	0.998109i	$0.480424\pi$
$104$	0.499941	−	0.865923i	0.0490232	−	0.0849108i
$105$	−1.75337	+	10.0958i	−0.171111	+	0.985252i
$106$	−8.99501	−	15.5798i	−0.873672	−	1.51324i
$107$	−2.19807	−	2.19807i	−0.212495	−	0.212495i	0.592831	−	0.805327i	$-0.298010\pi$
$107$	−2.19807	−	2.19807i	−0.212495	−	0.212495i	−0.805327	+	0.592831i	$0.798010\pi$
$108$	−0.592889	+	0.340702i	−0.0570507	+	0.0327841i
$109$		−	8.35559i		−	0.800320i	−0.916445	−	0.400160i	$-0.868955\pi$
$109$		−	8.35559i		−	0.800320i	0.916445	−	0.400160i	$-0.131045\pi$
$110$	12.7465	−	0.591806i	1.21533	−	0.0564265i
$111$	−0.0673622	−	0.0314670i	−0.00639374	−	0.00298672i
$112$	10.9661	−	2.43676i	1.03620	−	0.230252i
$113$	3.45767	+	12.9042i	0.325271	+	1.21393i	0.914040	+	0.405625i	$0.132946\pi$
$113$	3.45767	+	12.9042i	0.325271	+	1.21393i	−0.588769	+	0.808301i	$0.700387\pi$
$114$	0.838616	+	9.66068i	0.0785435	+	0.904806i
$115$	−0.669446	−	14.4188i	−0.0624261	−	1.34456i
$116$	0.603705			0.0560526
$117$	−0.631941	+	0.899911i	−0.0584229	+	0.0831968i
$118$	10.1287	+	10.1287i	0.932421	+	0.932421i
$119$	−2.44349	−	4.68830i	−0.223995	−	0.429776i
$120$	−6.41405	+	8.39515i	−0.585520	+	0.766369i
$121$	−2.13861	+	3.70417i	−0.194419	+	0.336743i
$122$	2.50930	+	9.36482i	0.227181	+	0.847851i
$123$	−19.4960	−	3.45127i	−1.75790	−	0.311191i
$124$	−0.137456	−	0.238081i	−0.0123439	−	0.0213803i
$125$	8.92605	+	6.73243i	0.798371	+	0.602166i
$126$	−11.4905	+	1.50267i	−1.02366	+	0.133869i
$127$	−9.18444	−	9.18444i	−0.814987	−	0.814987i	0.170390	−	0.985377i	$-0.445497\pi$
$127$	−9.18444	−	9.18444i	−0.814987	−	0.814987i	−0.985377	+	0.170390i	$0.945497\pi$
$128$	11.8810	+	3.18351i	1.05015	+	0.281386i
$129$	0.815429	−	0.0707850i	0.0717946	−	0.00623227i
$130$	0.255772	−	1.16899i	0.0224327	−	0.102527i
$131$	−9.99028	−	5.76789i	−0.872855	−	0.503943i	−0.00455882	−	0.999990i	$-0.501451\pi$
$131$	−9.99028	−	5.76789i	−0.872855	−	0.503943i	−0.868296	+	0.496047i	$0.834784\pi$
$132$	0.304144	+	0.837391i	0.0264723	+	0.0728855i
$133$	−3.04607	+	9.67743i	−0.264128	+	0.839140i
$134$		−	5.76824i		−	0.498300i
$135$	7.84337	−	8.57214i	0.675050	−	0.737772i
$136$		−	5.45093i		−	0.467414i
$137$	1.36307	−	5.08704i	0.116455	−	0.434615i	−0.882937	−	0.469492i	$-0.844437\pi$
$137$	1.36307	−	5.08704i	0.116455	−	0.434615i	0.999392	+	0.0348765i	$0.0111038\pi$
$138$	15.3432	−	5.57273i	1.30610	−	0.474382i
$139$	−5.20435	+	9.01419i	−0.441427	+	0.764574i	−0.997796	−	0.0663616i	$-0.978861\pi$
$139$	−5.20435	+	9.01419i	−0.441427	+	0.764574i	0.556369	+	0.830936i	$0.312194\pi$
$140$	0.672975	−	0.391466i	0.0568768	−	0.0330849i
$141$	20.2211	−	1.75533i	1.70292	−	0.147826i
$142$	−0.803193	+	2.99756i	−0.0674025	+	0.251549i
$143$	1.01305	+	1.01305i	0.0847159	+	0.0847159i
$144$	−11.9636	−	4.37272i	−0.996963	−	0.364393i
$145$	−9.77455	+	3.11161i	−0.811732	+	0.258405i
$146$	−15.9986	+	9.23681i	−1.32406	+	0.764444i
$147$	−11.7122	−	3.13446i	−0.966004	−	0.258526i
$148$	0.00146206	+	0.00545649i	0.000120181	+	0.000448521i
$149$	0.639215	+	0.369051i	0.0523665	+	0.0302338i	0.525955	−	0.850513i	$-0.323708\pi$
$149$	0.639215	+	0.369051i	0.0523665	+	0.0302338i	−0.473588	+	0.880746i	$0.657041\pi$
$150$	−4.26684	+	11.9023i	−0.348386	+	0.971816i
$151$	10.1772	+	17.6275i	0.828211	+	1.43450i	0.899440	+	0.437044i	$0.143975\pi$
$151$	10.1772	+	17.6275i	0.828211	+	1.43450i	−0.0712291	+	0.997460i	$0.522692\pi$
$152$	−7.39660	+	7.39660i	−0.599944	+	0.599944i
$153$	−0.530554	+	5.97120i	−0.0428927	+	0.482743i
$154$	−0.651182	+	15.0841i	−0.0524737	+	1.21551i
$155$	3.45265	+	3.14627i	0.277324	+	0.252715i
$156$	0.0832356	−	0.00722544i	0.00666419	−	0.000578498i
$157$	−2.47340	−	9.23084i	−0.197399	−	0.736701i	−0.991633	−	0.129090i	$-0.958794\pi$
$157$	−2.47340	−	9.23084i	−0.197399	−	0.736701i	0.794234	−	0.607612i	$-0.207872\pi$
$158$	−1.37781	−	5.14204i	−0.109612	−	0.409079i
$159$	−9.03269	+	19.3365i	−0.716339	+	1.53348i
$160$	1.66018	−	0.0770800i	0.131249	−	0.00609371i
$161$	17.0630	+	0.736612i	1.34475	+	0.0580531i
$162$	11.8938	+	5.58541i	0.934466	+	0.438831i
$163$	−6.94454	+	6.94454i	−0.543938	+	0.543938i	−0.924681	−	0.380743i	$-0.875668\pi$
$163$	−6.94454	+	6.94454i	−0.543938	+	0.543938i	0.380743	+	0.924681i	$0.375668\pi$
$164$	0.752158	+	1.30278i	0.0587336	+	0.101730i
$165$	−9.24044	−	11.9905i	−0.719367	−	0.933460i
$166$	17.2503	+	9.95944i	1.33888	+	0.773003i
$167$	4.73607	+	17.6752i	0.366488	+	1.36775i	0.865393	+	0.501095i	$0.167069\pi$
$167$	4.73607	+	17.6752i	0.366488	+	1.36775i	−0.498905	+	0.866657i	$0.666264\pi$
$168$	−9.21487	−	8.44703i	−0.710943	−	0.651703i
$169$	−11.1420	+	6.43282i	−0.857075	+	0.494833i
$170$	−1.97886	−	6.21620i	−0.151771	−	0.476761i
$171$	8.82251	−	7.38265i	0.674674	−	0.564565i
$172$	−0.0439738	−	0.0439738i	−0.00335297	−	0.00335297i
$173$	−3.98957	+	14.8893i	−0.303321	+	1.13201i	0.631059	+	0.775735i	$0.282621\pi$
$173$	−3.98957	+	14.8893i	−0.303321	+	1.13201i	−0.934381	+	0.356276i	$0.884046\pi$
$174$	−6.64748	−	9.50726i	−0.503944	−	0.720744i
$175$	−8.87840	+	9.80684i	−0.671144	+	0.741327i
$176$	−8.29774	+	14.3721i	−0.625466	+	1.08334i
$177$	2.96216	−	16.7331i	0.222650	−	1.25773i
$178$	0.380415	−	1.41973i	0.0285133	−	0.106413i
$179$			2.84155i			0.212388i	0.994345	+	0.106194i	$0.0338664\pi$
$179$			2.84155i			0.212388i	−0.994345	+	0.106194i	$0.966134\pi$
$180$	−0.882007	−	0.0372640i	−0.0657409	−	0.00277749i
$181$			20.2943i			1.50846i	0.656609	+	0.754231i	$0.271990\pi$
$181$			20.2943i			1.50846i	−0.656609	+	0.754231i	$0.728010\pi$
$182$	1.35056	+	0.425103i	0.100110	+	0.0315107i
$183$	7.39913	−	8.80584i	0.546960	−	0.650946i
$184$	15.2498	+	8.80448i	1.12423	+	0.649075i
$185$	−0.0517959	−	0.0808099i	−0.00380811	−	0.00594126i
$186$	−2.23579	+	4.78622i	−0.163936	+	0.350943i
$187$	7.54421	+	2.02147i	0.551687	+	0.147824i
$188$	−1.09047	−	1.09047i	−0.0795304	−	0.0795304i
$189$	9.27222	+	10.1502i	0.674454	+	0.738316i
$190$	−5.74984	+	11.1202i	−0.417137	+	0.806746i
$191$	6.13621	+	10.6282i	0.444000	+	0.769031i	0.997982	−	0.0634977i	$-0.0202255\pi$
$191$	6.13621	+	10.6282i	0.444000	+	0.769031i	−0.553982	+	0.832529i	$0.686892\pi$
$192$	−4.37949	−	12.0579i	−0.316063	−	0.870206i
$193$	2.09344	+	7.81281i	0.150689	+	0.562378i	0.999436	+	0.0335796i	$0.0106907\pi$
$193$	2.09344	+	7.81281i	0.150689	+	0.562378i	−0.848747	+	0.528799i	$0.822643\pi$
$194$	8.90292	−	15.4203i	0.639192	−	1.10711i
$195$	−1.31042	+	0.545999i	−0.0938411	+	0.0390998i
$196$	0.390131	+	0.834503i	0.0278665	+	0.0596074i
$197$	−1.52429	−	1.52429i	−0.108601	−	0.108601i	0.650718	−	0.759319i	$-0.274468\pi$
$197$	−1.52429	−	1.52429i	−0.108601	−	0.108601i	−0.759319	+	0.650718i	$0.774468\pi$
$198$	9.83842	−	14.0103i	0.699186	−	0.995671i
$199$	11.3535			0.804828			0.402414	−	0.915458i	$-0.368171\pi$
$199$	11.3535			0.804828			0.402414	+	0.915458i	$0.368171\pi$
$200$	−12.7908	+	4.73566i	−0.904447	+	0.334861i
$201$	−5.60817	+	3.92123i	−0.395570	+	0.276582i
$202$	−2.32355	−	8.67159i	−0.163484	−	0.610131i
$203$	−2.63279	−	11.8483i	−0.184786	−	0.831586i
$204$	0.373277	−	0.260996i	0.0261346	−	0.0182733i
$205$	−18.8929	−	17.2164i	−1.31954	−	1.20244i
$206$		−	5.89622i		−	0.410809i
$207$	−15.8484	−	11.1291i	−1.10154	−	0.773528i
$208$	1.10047	+	1.10047i	0.0763039	+	0.0763039i
$209$	−7.49405	−	12.9801i	−0.518374	−	0.897851i
$210$	−13.5751	−	6.28766i	−0.936771	−	0.433889i
$211$	−0.887630	+	1.53742i	−0.0611069	+	0.105840i	−0.894960	−	0.446145i	$-0.852796\pi$
$211$	−0.887630	+	1.53742i	−0.0611069	+	0.105840i	0.833854	+	0.551986i	$0.186130\pi$
$212$	1.56630	−	0.419689i	0.107574	−	0.0288244i
$213$	3.46038	−	1.25683i	0.237102	−	0.0861163i
$214$	3.93043	−	2.26923i	0.268678	−	0.155122i
$215$	0.938625	+	0.485327i	0.0640137	+	0.0330990i
$216$	3.64081	+	13.6988i	0.247726	+	0.932088i
$217$	−4.07310	+	3.73599i	−0.276500	+	0.253615i
$218$	11.7835	+	3.15737i	0.798078	+	0.213844i
$219$	19.8563	+	9.27551i	1.34177	+	0.626781i
$220$	−0.245839	+	1.12358i	−0.0165744	+	0.0757521i
$221$	0.366222	−	0.634314i	0.0246347	−	0.0426686i
$222$	0.0698309	−	0.0831070i	0.00468674	−	0.00557778i
$223$	5.15894	−	19.2534i	0.345468	−	1.28930i	−0.546597	−	0.837396i	$-0.684077\pi$
$223$	5.15894	−	19.2534i	0.345468	−	1.28930i	0.892065	−	0.451908i	$-0.149256\pi$
$224$	−0.0848135	+	1.96464i	−0.00566684	+	0.131268i
$225$	14.4726	−	3.94269i	0.964838	−	0.262846i
$226$	−19.5048			−1.29744
$227$	11.6212	+	3.11388i	0.771325	+	0.206676i	0.622957	−	0.782256i	$-0.285931\pi$
$227$	11.6212	+	3.11388i	0.771325	+	0.206676i	0.148368	+	0.988932i	$0.452598\pi$
$228$	−0.860672	−	0.152360i	−0.0569994	−	0.0100903i
$229$	4.78689	−	8.29114i	0.316327	−	0.547894i	−0.663392	−	0.748272i	$-0.730884\pi$
$229$	4.78689	−	8.29114i	0.316327	−	0.547894i	0.979719	+	0.200378i	$0.0642171\pi$
$230$	20.5871	+	4.50442i	1.35747	+	0.297013i
$231$	15.1082	−	9.62102i	0.994046	−	0.633017i
$232$	3.23885	−	12.0876i	0.212641	−	0.793587i
$233$	6.37266	−	6.37266i	0.417487	−	0.417487i	−0.466850	−	0.884337i	$-0.654611\pi$
$233$	6.37266	−	6.37266i	0.417487	−	0.417487i	0.884337	+	0.466850i	$0.154611\pi$
$234$	−1.03031	−	1.23125i	−0.0673532	−	0.0804893i
$235$	23.2761	+	12.0352i	1.51837	+	0.785088i
$236$	−1.11815	+	0.645563i	−0.0727852	+	0.0420226i
$237$	−4.06272	+	4.83512i	−0.263902	+	0.314075i
$238$	7.53501	−	1.67435i	0.488422	−	0.108532i
$239$	−5.05325	−	2.91749i	−0.326867	−	0.188717i	0.327582	−	0.944823i	$-0.393766\pi$
$239$	−5.05325	−	2.91749i	−0.326867	−	0.188717i	−0.654449	+	0.756106i	$0.727100\pi$
$240$	−10.0378	−	13.0252i	−0.647937	−	0.840771i
$241$	7.01801	−	4.05185i	0.452070	−	0.261003i	−0.256634	−	0.966509i	$-0.582614\pi$
$241$	7.01801	−	4.05185i	0.452070	−	0.261003i	0.708704	+	0.705506i	$0.249280\pi$
$242$	−4.41569	−	4.41569i	−0.283851	−	0.283851i
$243$	−2.65497	−	15.3607i	−0.170316	−	0.985389i
$244$	−0.873888			−0.0559450
$245$	−10.6178	−	11.5006i	−0.678344	−	0.734744i
$246$	12.2342	−	26.1901i	0.780027	−	1.66982i
$247$	−1.35767	+	0.363787i	−0.0863865	+	0.0231472i
$248$	−5.50437	+	1.47489i	−0.349528	+	0.0936556i
$249$	−2.04361	−	23.5420i	−0.129508	−	1.49191i
$250$	−12.8674	+	10.0440i	−0.813803	+	0.635236i
$251$		−	7.52743i		−	0.475127i	−0.971372	−	0.237564i	$-0.923651\pi$
$251$		−	7.52743i		−	0.475127i	0.971372	−	0.237564i	$-0.0763488\pi$
$252$	0.137233	−	1.03548i	0.00864486	−	0.0652292i
$253$	−17.8410	+	17.8410i	−1.12165	+	1.12165i
$254$	16.4229	−	9.48179i	1.03047	−	0.594940i
$255$	−4.69848	+	6.14970i	−0.294230	+	0.385109i
$256$	−1.57250	+	2.72365i	−0.0982814	+	0.170228i
$257$	3.22856	+	12.0491i	0.201392	+	0.751604i	0.990519	+	0.137375i	$0.0438665\pi$
$257$	3.22856	+	12.0491i	0.201392	+	0.751604i	−0.789127	+	0.614230i	$0.789467\pi$
$258$	−0.208306	+	1.17671i	−0.0129686	+	0.0732587i
$259$	0.100713	−	0.0524904i	0.00625798	−	0.00326160i
$260$	0.0958110	+	0.0495401i	0.00594194	+	0.00307235i
$261$	−4.72450	+	12.9260i	−0.292439	+	0.800101i
$262$	11.9093	−	11.9093i	0.735756	−	0.735756i
$263$	−0.495319	−	0.132720i	−0.0305427	−	0.00818389i	0.243515	−	0.969897i	$-0.421699\pi$
$263$	−0.495319	−	0.132720i	−0.0305427	−	0.00818389i	−0.274058	+	0.961713i	$0.588366\pi$
$264$	18.3982	−	1.59709i	1.13233	−	0.0982943i
$265$	−23.1967	+	14.8682i	−1.42496	+	0.913344i
$266$	−12.4966	−	7.95259i	−0.766214	−	0.487605i
$267$	−1.63894	+	0.595269i	−0.100301	+	0.0364298i
$268$	0.502212	+	0.134567i	0.0306775	+	0.00822001i
$269$	5.16747			0.315066			0.157533	−	0.987514i	$-0.449646\pi$
$269$	5.16747			0.315066			0.157533	+	0.987514i	$0.449646\pi$
$270$	9.12505	+	14.3003i	0.555333	+	0.870290i
$271$		−	0.0214709i		−	0.00130426i	−1.00000		0.000652132i	$-0.999792\pi$
$271$		−	0.0214709i		−	0.00130426i	1.00000		0.000652132i	$-0.000207580\pi$
$272$	8.19520	+	2.19590i	0.496907	+	0.133146i
$273$	−0.504801	−	1.60207i	−0.0305520	−	0.0969615i
$274$	6.65894	+	3.84454i	0.402281	+	0.232257i
$275$	−1.81081	−	19.4590i	−0.109196	−	1.17342i
$276$	0.127248	+	1.46587i	0.00765940	+	0.0882348i
$277$	−2.94340	+	10.9849i	−0.176851	+	0.660019i	0.819377	+	0.573254i	$0.194319\pi$
$277$	−2.94340	+	10.9849i	−0.176851	+	0.660019i	−0.996229	+	0.0867643i	$0.972347\pi$
$278$	−10.7457	−	10.7457i	−0.644483	−	0.644483i
$279$	6.17329	−	1.07991i	0.369585	−	0.0646524i
$280$	−4.22756	−	15.5747i	−0.252645	−	0.930766i
$281$	6.07820	+	10.5278i	0.362595	+	0.628033i	0.988387	−	0.151957i	$-0.0485575\pi$
$281$	6.07820	+	10.5278i	0.362595	+	0.628033i	−0.625792	+	0.779990i	$0.715224\pi$
$282$	−5.16560	+	29.1801i	−0.307607	+	1.73765i
$283$	−25.6739	+	6.87930i	−1.52615	+	0.408932i	−0.921762	−	0.387756i	$-0.873250\pi$
$283$	−25.6739	+	6.87930i	−1.52615	+	0.408932i	−0.604392	+	0.796687i	$0.706584\pi$
$284$	−0.242245	−	0.139860i	−0.0143746	−	0.00829917i
$285$	14.7204	−	1.96922i	0.871959	−	0.116646i
$286$	−1.81147	+	1.04585i	−0.107115	+	0.0618426i
$287$	22.2880	−	20.4433i	1.31562	−	1.20673i
$288$	1.28141	−	1.82478i	0.0755077	−	0.107526i
$289$			13.0070i			0.765119i
$290$	−0.694591	−	14.9604i	−0.0407878	−	0.878503i
$291$	−21.0446	+	1.82682i	−1.23365	+	0.107090i
$292$	−0.430971	−	1.60841i	−0.0252207	−	0.0941249i
$293$	−22.2897	+	5.97252i	−1.30218	+	0.348918i	−0.842274	−	0.539049i	$-0.818784\pi$
$293$	−22.2897	+	5.97252i	−1.30218	+	0.348918i	−0.459907	+	0.887967i	$0.652117\pi$
$294$	8.84613	−	15.3327i	0.515917	−	0.894220i
$295$	14.7765	−	16.2154i	0.860320	−	0.944097i
$296$	0.117095			0.00680603
$297$	−20.3097	−	0.0412158i	−1.17849	−	0.00239159i
$298$	−0.761999	+	0.761999i	−0.0441414	+	0.0441414i
$299$	1.18306	+	2.04912i	0.0684181	+	0.118504i
$300$	−0.936731	−	0.649161i	−0.0540822	−	0.0374793i
$301$	−0.671255	+	1.05480i	−0.0386905	+	0.0607976i
$302$	−28.7049	+	7.69146i	−1.65178	+	0.442594i
$303$	−6.85141	+	8.15399i	−0.393603	+	0.468434i
$304$	−8.14071	−	14.1001i	−0.466902	−	0.808698i
$305$	14.1491	−	4.50418i	0.810172	−	0.257909i
$306$	−8.22041	−	3.00459i	−0.469930	−	0.171761i
$307$	14.6287	−	14.6287i	0.834902	−	0.834902i	−0.153281	−	0.988183i	$-0.548984\pi$
$307$	14.6287	−	14.6287i	0.834902	−	0.834902i	0.988183	+	0.153281i	$0.0489838\pi$
$308$	−1.29811	−	0.408593i	−0.0739665	−	0.0232817i
$309$	−5.73260	+	4.00824i	−0.326116	+	0.228021i
$310$	−5.74171	+	3.68021i	−0.326107	+	0.209022i
$311$	12.9578	+	7.48121i	0.734772	+	0.424221i	0.820165	−	0.572127i	$-0.193881\pi$
$311$	12.9578	+	7.48121i	0.734772	+	0.424221i	−0.0853935	+	0.996347i	$0.527215\pi$
$312$	0.301886	−	1.70533i	0.0170909	−	0.0965454i
$313$	−3.35233	+	12.5111i	−0.189485	+	0.707167i	0.804141	+	0.594439i	$0.202626\pi$
$313$	−3.35233	+	12.5111i	−0.189485	+	0.707167i	−0.993626	+	0.112728i	$0.964041\pi$
$314$	13.9524			0.787382
$315$	3.11514	+	17.4727i	0.175518	+	0.984476i
$316$	0.479835			0.0269929
$317$	−6.73734	+	25.1441i	−0.378407	+	1.41223i	0.469896	+	0.882722i	$0.344291\pi$
$317$	−6.73734	+	25.1441i	−0.378407	+	1.41223i	−0.848303	+	0.529512i	$0.822375\pi$
$318$	−23.8561	−	20.0452i	−1.33778	−	1.12408i
$319$	15.5283	+	8.96529i	0.869420	+	0.501960i
$320$	3.53993	−	16.1789i	0.197888	−	0.904430i
$321$	−4.87815	−	2.27874i	−0.272272	−	0.127187i
$322$	−7.48651	+	23.7848i	−0.417207	+	1.32547i
$323$	−5.41823	+	5.41823i	−0.301479	+	0.301479i
$324$	−0.763765	+	0.905234i	−0.0424314	+	0.0502908i
$325$	−1.80661	−	0.308273i	−0.100212	−	0.0170999i
$326$	−7.16937	−	12.4177i	−0.397075	−	0.687754i
$327$	−4.94062	−	13.6029i	−0.273217	−	0.752240i
$328$	30.1198	−	8.07058i	1.66309	−	0.445623i
$329$	−16.6458	+	26.1570i	−0.917714	+	1.44208i
$330$	20.4014	−	8.50042i	1.12306	−	0.467933i
$331$	3.19019	+	5.52557i	0.175349	+	0.303713i	0.940282	−	0.340397i	$-0.110561\pi$
$331$	3.19019	+	5.52557i	0.175349	+	0.303713i	−0.764933	+	0.644110i	$0.777228\pi$
$332$	−1.26955	+	1.26955i	−0.0696757	+	0.0696757i
$333$	−0.128272	−	0.0113972i	−0.00702924	−	0.000624563i
$334$	−26.7162			−1.46184
$335$	−8.82486	+	0.409727i	−0.482154	+	0.0223858i
$336$	16.4119	−	10.4512i	0.895341	−	0.570160i
$337$	2.47444	−	0.663023i	0.134791	−	0.0361172i	−0.190793	−	0.981630i	$-0.561106\pi$
$337$	2.47444	−	0.663023i	0.134791	−	0.0361172i	0.325584	+	0.945513i	$0.394439\pi$
$338$	−4.86162	−	18.1438i	−0.264437	−	0.986892i
$339$	13.2593	+	18.9635i	0.720145	+	1.02996i
$340$	0.587379	−	0.0272713i	0.0318551	−	0.00147899i
$341$		−	8.16512i		−	0.442166i
$342$	7.07758	+	15.2317i	0.382712	+	0.823635i
$343$	14.6765	−	11.2960i	0.792458	−	0.609927i
$344$	−1.11637	+	0.644538i	−0.0601908	+	0.0347512i
$345$	−9.61561	−	23.0779i	−0.517687	−	1.24247i
$346$	−19.4901	−	11.2526i	−1.04779	−	0.604943i
$347$	7.93384	−	2.12587i	0.425911	−	0.114122i	−0.0394952	−	0.999220i	$-0.512575\pi$
$347$	7.93384	−	2.12587i	0.425911	−	0.114122i	0.465406	+	0.885097i	$0.345908\pi$
$348$	0.982830	−	0.356968i	0.0526852	−	0.0191355i
$349$	8.03047	+	13.9092i	0.429861	+	0.744541i	0.996861	−	0.0791769i	$-0.0252292\pi$
$349$	8.03047	+	13.9092i	0.429861	+	0.744541i	−0.567000	+	0.823718i	$0.691896\pi$
$350$	−10.4752	−	16.2265i	−0.559922	−	0.867345i
$351$	−0.496684	+	1.83872i	−0.0265110	+	0.0981434i
$352$	−2.05421	−	2.05421i	−0.109490	−	0.109490i
$353$	1.62567	−	6.06709i	0.0865257	−	0.322918i	−0.909073	−	0.416637i	$-0.863209\pi$
$353$	1.62567	−	6.06709i	0.0865257	−	0.322918i	0.995599	+	0.0937184i	$0.0298753\pi$
$354$	22.4785	+	10.5004i	1.19472	+	0.558091i
$355$	4.64303	+	1.01589i	0.246427	+	0.0539178i
$356$	0.114734	+	0.0662417i	0.00608089	+	0.00351080i
$357$	−6.75016	−	6.18770i	−0.357257	−	0.327488i
$358$	−4.00730	−	1.07375i	−0.211792	−	0.0567496i
$359$			29.1921i			1.54070i	0.637620	+	0.770351i	$0.279919\pi$
$359$			29.1921i			1.54070i	−0.637620	+	0.770351i	$0.720081\pi$
$360$	−5.47804	+	17.4599i	−0.288718	+	0.920216i
$361$	−4.29554			−0.226081
$362$	−28.6201	−	7.66872i	−1.50424	−	0.403059i
$363$	−1.29138	+	7.29493i	−0.0677799	+	0.382884i
$364$	−0.0685189	+	0.107669i	−0.00359137	+	0.00564341i
$365$	15.2679	+	23.8203i	0.799156	+	1.24681i
$366$	9.62249	+	13.7622i	0.502976	+	0.719359i
$367$	18.4620	+	4.94689i	0.963711	+	0.258226i	0.706170	−	0.708042i	$-0.250421\pi$
$367$	18.4620	+	4.94689i	0.963711	+	0.258226i	0.257541	+	0.966267i	$0.417088\pi$
$368$	−19.3804	+	19.3804i	−1.01028	+	1.01028i
$369$	−33.7802	+	5.90924i	−1.75852	+	0.307623i
$370$	0.133535	−	0.0425092i	0.00694214	−	0.00220995i
$371$	−15.0675	−	28.9098i	−0.782267	−	1.50092i
$372$	−0.364554	−	0.306317i	−0.0189012	−	0.0158818i
$373$	−9.68146	−	36.1317i	−0.501287	−	1.87083i	−0.491501	−	0.870877i	$-0.663552\pi$
$373$	−9.68146	−	36.1317i	−0.501287	−	1.87083i	−0.00978595	−	0.999952i	$-0.503115\pi$
$374$	−5.70155	+	9.87537i	−0.294820	+	0.510643i
$375$	18.5124	+	5.68243i	0.955978	+	0.293439i
$376$	−27.6839	+	15.9833i	−1.42769	+	0.824277i
$377$	1.18900	−	1.18900i	0.0612368	−	0.0612368i
$378$	−17.8180	+	9.24065i	−0.916461	+	0.475288i
$379$		−	21.0974i		−	1.08370i	−0.840474	−	0.541851i	$-0.817724\pi$
$379$		−	21.0974i		−	1.08370i	0.840474	−	0.541851i	$-0.182276\pi$
$380$	−0.834045	−	0.760034i	−0.0427856	−	0.0389889i
$381$	−20.3829	−	9.52151i	−1.04425	−	0.487802i
$382$	−17.3072	+	4.63745i	−0.885513	+	0.237272i
$383$	3.93021	−	1.05310i	0.200824	−	0.0538107i	−0.157005	−	0.987598i	$-0.550184\pi$
$383$	3.93021	−	1.05310i	0.200824	−	0.0538107i	0.357829	+	0.933787i	$0.383517\pi$
$384$	21.2247	−	1.84245i	1.08312	−	0.0940222i
$385$	23.1235	−	0.0752011i	1.17848	−	0.00383260i
$386$	−11.8091			−0.601067
$387$	1.28566	−	0.597397i	0.0653538	−	0.0303674i
$388$	1.13487	+	1.13487i	0.0576145	+	0.0576145i
$389$	26.8857	−	15.5225i	1.36316	−	0.787021i	0.373118	−	0.927784i	$-0.378289\pi$
$389$	26.8857	−	15.5225i	1.36316	−	0.787021i	0.990043	+	0.140763i	$0.0449554\pi$
$390$	−0.274819	−	2.05434i	−0.0139160	−	0.104026i
$391$	11.1709	+	6.44954i	0.564939	+	0.326167i
$392$	18.8017	−	3.33425i	0.949629	−	0.168405i
$393$	−19.6747	−	3.48290i	−0.992455	−	0.175689i
$394$	2.72562	−	1.57364i	0.137315	−	0.0792786i
$395$	−7.76898	+	2.47316i	−0.390900	+	0.124438i
$396$	0.990290	+	1.18343i	0.0497640	+	0.0594696i
$397$	−4.43818	+	4.43818i	−0.222746	+	0.222746i	−0.809654	−	0.586908i	$-0.800345\pi$
$397$	−4.43818	+	4.43818i	−0.222746	+	0.222746i	0.586908	+	0.809654i	$0.300345\pi$
$398$	−4.29021	+	16.0113i	−0.215049	+	0.802573i
$399$	0.763228	+	17.5559i	0.0382092	+	0.878897i
$400$	−1.96707	−	21.1381i	−0.0983534	−	1.05690i
$401$	−19.1412	+	33.1535i	−0.955866	+	1.65561i	−0.223491	+	0.974706i	$0.571745\pi$
$401$	−19.1412	+	33.1535i	−0.955866	+	1.65561i	−0.732375	+	0.680902i	$0.761588\pi$
$402$	−3.41073	−	9.39067i	−0.170112	−	0.468364i
$403$	−0.739623	−	0.198181i	−0.0368432	−	0.00987212i
$404$	0.809199			0.0402591
$405$	7.70031	−	18.5932i	0.382631	−	0.923901i
$406$	17.7039	+	0.764280i	0.878631	+	0.0379306i
$407$	−0.0434245	+	0.162063i	−0.00215247	+	0.00803314i
$408$	−3.22311	−	8.87410i	−0.159568	−	0.439333i
$409$	15.0631	−	26.0901i	0.744823	−	1.29007i	−0.205455	−	0.978667i	$-0.565867\pi$
$409$	15.0631	−	26.0901i	0.744823	−	1.29007i	0.950277	−	0.311404i	$-0.100799\pi$
$410$	31.4186	−	20.1380i	1.55165	−	0.994547i
$411$	−0.788873	−	9.08766i	−0.0389122	−	0.448261i
$412$	0.513355	+	0.137553i	0.0252912	+	0.00677676i
$413$	17.5461	+	19.1294i	0.863386	+	0.941294i
$414$	21.6836	−	18.1448i	1.06569	−	0.891767i
$415$	14.0117	−	27.0987i	0.687807	−	1.33022i
$416$	−0.235936	+	0.136218i	−0.0115677	+	0.00667862i
$417$	−3.14261	+	17.7524i	−0.153894	+	0.869338i
$418$	21.1370	−	5.66364i	1.03384	−	0.277018i
$419$	−5.18972	+	8.98886i	−0.253534	+	0.439134i	−0.964496	−	0.264096i	$-0.914926\pi$
$419$	−5.18972	+	8.98886i	−0.253534	+	0.439134i	0.710962	+	0.703230i	$0.248260\pi$
$420$	0.864129	−	1.03523i	0.0421652	−	0.0505142i
$421$	−9.30441	−	16.1157i	−0.453469	−	0.785432i	0.545130	−	0.838352i	$-0.316480\pi$
$421$	−9.30441	−	16.1157i	−0.453469	−	0.785432i	−0.998599	+	0.0529202i	$0.983147\pi$
$422$	−1.83273	−	1.83273i	−0.0892161	−	0.0892161i
$423$	31.8819	−	14.8143i	1.55015	−	0.720296i
$424$		−	33.6126i		−	1.63237i
$425$	−9.36964	+	3.46901i	−0.454495	+	0.168272i
$426$	0.464846	+	5.35493i	0.0225219	+	0.259447i
$427$	3.81107	+	17.1509i	0.184431	+	0.829989i
$428$	0.105878	+	0.395142i	0.00511780	+	0.0190999i
$429$	2.24826	+	1.05023i	0.108547	+	0.0507058i
$430$	−1.03912	+	1.14030i	−0.0501106	+	0.0549904i
$431$	25.3205			1.21964			0.609822	−	0.792538i	$-0.291241\pi$
$431$	25.3205			1.21964			0.609822	+	0.792538i	$0.291241\pi$
$432$	−22.0622	−	0.0447723i	−1.06147	−	0.00215411i
$433$	−13.9170	−	13.9170i	−0.668810	−	0.668810i	0.288630	−	0.957441i	$-0.406800\pi$
$433$	−13.9170	−	13.9170i	−0.668810	−	0.668810i	−0.957441	+	0.288630i	$0.906800\pi$
$434$	−3.72955	−	7.15584i	−0.179024	−	0.343491i
$435$	−14.0730	+	10.8453i	−0.674750	+	0.519994i
$436$	−0.549794	+	0.952271i	−0.0263304	+	0.0456055i
$437$	−6.40666	−	23.9100i	−0.306472	−	1.14377i
$438$	−20.5840	+	24.4974i	−0.983542	+	1.17053i
$439$	−14.7353	−	25.5223i	−0.703278	−	1.21811i	−0.967309	−	0.253599i	$-0.918386\pi$
$439$	−14.7353	−	25.5223i	−0.703278	−	1.21811i	0.264031	−	0.964514i	$-0.414948\pi$
$440$	21.1778	+	10.9502i	1.00961	+	0.522032i
$441$	−20.9208	+	1.82247i	−0.996227	+	0.0867841i
$442$	0.756157	+	0.756157i	0.0359667	+	0.0359667i
$443$	−14.7465	−	3.95131i	−0.700627	−	0.187732i	−0.109116	−	0.994029i	$-0.534802\pi$
$443$	−14.7465	−	3.95131i	−0.700627	−	0.187732i	−0.591512	+	0.806297i	$0.701469\pi$
$444$	0.00560663	+	0.00801864i	0.000266079	+	0.000380548i
$445$	−2.19907	−	0.481154i	−0.104246	−	0.0228089i
$446$	25.2027	+	14.5508i	1.19338	+	0.689000i
$447$	1.25886	+	0.222849i	0.0595419	+	0.0105404i
$448$	18.6920	+	5.88349i	0.883112	+	0.277969i
$449$			3.06142i			0.144478i	0.997387	+	0.0722388i	$0.0230144\pi$
$449$			3.06142i			0.144478i	−0.997387	+	0.0722388i	$0.976986\pi$
$450$	0.0913552	+	21.8998i	0.00430652	+	1.03237i
$451$			44.6795i			2.10387i
$452$	0.455027	−	1.69818i	0.0214027	−	0.0798758i
$453$	26.9915	+	22.6797i	1.26817	+	1.06559i
$454$	−8.78272	+	15.2121i	−0.412194	+	0.713940i
$455$	0.554435	−	2.09643i	0.0259923	−	0.0982820i
$456$	−7.66806	+	16.4152i	−0.359090	+	0.768713i
$457$	1.19133	−	4.44611i	0.0557282	−	0.207980i	−0.932448	−	0.361305i	$-0.882331\pi$
$457$	1.19133	−	4.44611i	0.0557282	−	0.207980i	0.988176	+	0.153325i	$0.0489980\pi$
$458$	9.88374	+	9.88374i	0.461837	+	0.461837i
$459$	2.66700	+	10.0348i	0.124485	+	0.468385i
$460$	−0.872454	+	1.68733i	−0.0406784	+	0.0786722i
$461$	31.5764	−	18.2307i	1.47066	−	0.849087i	0.471204	−	0.882024i	$-0.343820\pi$
$461$	31.5764	−	18.2307i	1.47066	−	0.849087i	0.999457	+	0.0329376i	$0.0104863\pi$
$462$	7.85904	+	24.9419i	0.365635	+	1.16040i
$463$	−6.97859	−	26.0444i	−0.324323	−	1.21039i	−0.914991	−	0.403474i	$-0.867803\pi$
$463$	−6.97859	−	26.0444i	−0.324323	−	1.21039i	0.590669	−	0.806914i	$-0.298864\pi$
$464$	16.8683	+	9.73890i	0.783090	+	0.452117i
$465$	7.48128	+	3.08058i	0.346936	+	0.142859i
$466$	6.57898	+	11.3951i	0.304765	+	0.527869i
$467$	−26.5122	+	26.5122i	−1.22684	+	1.22684i	−0.261688	+	0.965153i	$0.584279\pi$
$467$	−26.5122	+	26.5122i	−1.22684	+	1.22684i	−0.965153	+	0.261688i	$0.915721\pi$
$468$	0.131235	−	0.0609798i	0.00606634	−	0.00281879i
$469$	0.450836	−	10.4432i	0.0208177	−	0.482224i
$470$	−25.7681	+	28.2774i	−1.18859	+	1.30434i
$471$	−9.48483	−	13.5653i	−0.437038	−	0.625054i
$472$	6.92683	+	25.8513i	0.318833	+	1.18990i
$473$	−0.478051	−	1.78411i	−0.0219808	−	0.0820335i
$474$	−5.28353	−	7.55654i	−0.242681	−	0.347083i
$475$	17.4213	+	8.00682i	0.799345	+	0.367378i
$476$	−0.0300074	+	0.695098i	−0.00137539	+	0.0318597i
$477$	−3.27160	+	36.8207i	−0.149796	+	1.68591i
$478$	6.02390	−	6.02390i	0.275527	−	0.275527i
$479$	4.24052	+	7.34480i	0.193754	+	0.335592i	0.946491	−	0.322729i	$-0.104600\pi$
$479$	4.24052	+	7.34480i	0.193754	+	0.335592i	−0.752737	+	0.658321i	$0.771267\pi$
$480$	2.65719	−	1.10714i	0.121283	−	0.0505338i
$481$	0.0136262	+	0.00786707i	0.000621299	+	0.000358707i
$482$	3.06219	+	11.4283i	0.139479	+	0.520543i
$483$	28.2141	−	8.89008i	1.28378	−	0.404512i
$484$	0.487466	−	0.281439i	0.0221575	−	0.0127927i
$485$	−24.2240	−	12.5253i	−1.09996	−	0.568744i
$486$	22.6657	+	2.06026i	1.02814	+	0.0934554i
$487$	2.65490	+	2.65490i	0.120305	+	0.120305i	0.764696	−	0.644391i	$-0.222889\pi$
$487$	2.65490	+	2.65490i	0.120305	+	0.120305i	−0.644391	+	0.764696i	$0.722889\pi$
$488$	−4.68837	+	17.4972i	−0.212233	+	0.792063i
$489$	−7.19941	+	15.4119i	−0.325568	+	0.696952i
$490$	20.2309	−	10.6279i	0.913938	−	0.480121i
$491$	−2.01799	+	3.49526i	−0.0910707	+	0.157739i	−0.907962	−	0.419053i	$-0.862362\pi$
$491$	−2.01799	+	3.49526i	−0.0910707	+	0.157739i	0.816891	+	0.576792i	$0.195696\pi$
$492$	1.99483	+	1.67617i	0.0899341	+	0.0755674i
$493$	2.37256	−	8.85450i	0.106855	−	0.398787i
$494$		−	2.05212i		−	0.0923293i
$495$	−22.1333	−	14.0567i	−0.994819	−	0.631801i
$496$		−	8.86969i		−	0.398261i
$497$	−1.68844	+	5.36422i	−0.0757370	+	0.240618i
$498$	33.9723	+	6.01393i	1.52234	+	0.269491i
$499$	6.03591	+	3.48484i	0.270205	+	0.156003i	0.628981	−	0.777421i	$-0.283472\pi$
$499$	6.03591	+	3.48484i	0.270205	+	0.156003i	−0.358776	+	0.933424i	$0.616806\pi$
$500$	−0.574296	−	1.35461i	−0.0256833	−	0.0605801i
$501$	18.1616	+	25.9748i	0.811400	+	1.16047i
$502$	10.6156	+	2.84443i	0.473796	+	0.126953i
$503$	−12.3235	−	12.3235i	−0.549477	−	0.549477i	0.376812	−	0.926290i	$-0.377020\pi$
$503$	−12.3235	−	12.3235i	−0.549477	−	0.549477i	−0.926290	+	0.376812i	$0.877020\pi$
$504$	−19.9965	−	8.30303i	−0.890713	−	0.369846i
$505$	−13.1017	+	4.17076i	−0.583017	+	0.185597i
$506$	−18.4186	−	31.9019i	−0.818805	−	1.41821i
$507$	−14.3354	+	17.0608i	−0.636657	+	0.757697i
$508$	0.442402	+	1.65107i	0.0196284	+	0.0732542i
$509$	15.1933	−	26.3156i	0.673433	−	1.16642i	−0.303491	−	0.952834i	$-0.598152\pi$
$509$	15.1933	−	26.3156i	0.673433	−	1.16642i	0.976924	−	0.213586i	$-0.0685145\pi$
$510$	−6.89718	−	8.94987i	−0.305412	−	0.396307i
$511$	−29.6870	+	15.4726i	−1.31328	+	0.684466i
$512$	14.1482	+	14.1482i	0.625269	+	0.625269i
$513$	9.99768	−	17.2356i	0.441409	−	0.760971i
$514$	−18.2123			−0.803310
$515$	−9.02067	+	0.418818i	−0.397498	+	0.0184553i
$516$	−0.0975906	−	0.0455877i	−0.00429619	−	0.00200688i
$517$	−11.8547	−	44.2425i	−0.521371	−	1.94578i
$518$	0.0359678	+	0.161865i	0.00158034	+	0.00711194i
$519$	2.30896	+	26.5987i	0.101352	+	1.16755i
$520$	1.50593	−	1.65257i	0.0660393	−	0.0724701i
$521$			41.4003i			1.81378i	0.421367	+	0.906890i	$0.361550\pi$
$521$			41.4003i			1.81378i	−0.421367	+	0.906890i	$0.638450\pi$
$522$	−16.4437	−	11.5472i	−0.719720	−	0.505406i
$523$	−4.38267	−	4.38267i	−0.191641	−	0.191641i	0.604764	−	0.796405i	$-0.293267\pi$
$523$	−4.38267	−	4.38267i	−0.191641	−	0.191641i	−0.796405	+	0.604764i	$0.793267\pi$
$524$	0.759049	+	1.31471i	0.0331592	+	0.0574335i
$525$	−8.65526	+	21.2152i	−0.377746	+	0.925909i
$526$	0.374338	−	0.648373i	0.0163219	−	0.0282704i
$527$	−4.03211	+	1.08040i	−0.175642	+	0.0470630i
$528$	−5.01053	+	28.3041i	−0.218055	+	1.23178i
$529$	−16.1686	+	9.33493i	−0.702981	+	0.405866i
$530$	−12.2024	−	38.3315i	−0.530038	−	1.66501i
$531$	−5.07179	−	28.9929i	−0.220097	−	1.25818i
$532$	0.983926	−	0.902489i	0.0426586	−	0.0391279i
$533$	4.04721	+	1.08445i	0.175304	+	0.0469726i
$534$	−0.220164	−	2.53625i	−0.00952744	−	0.109754i
$535$	−3.75090	−	5.85200i	−0.162165	−	0.253004i
$536$	5.38869	−	9.33349i	0.232756	−	0.403145i
$537$	1.68020	+	4.62603i	0.0725058	+	0.199628i
$538$	−1.95266	+	7.28744i	−0.0841853	+	0.314184i
$539$	−2.35789	+	27.2585i	−0.101562	+	1.17411i
$540$	−1.45794	+	0.460861i	−0.0627396	+	0.0198323i
$541$	23.6955			1.01875			0.509374	−	0.860545i	$-0.329877\pi$
$541$	23.6955			1.01875			0.509374	+	0.860545i	$0.329877\pi$
$542$	0.0302794	+	0.00811333i	0.00130061	+	0.000348497i
$543$	11.9999	+	33.0390i	0.514966	+	1.41784i
$544$	−0.742601	+	1.28622i	−0.0318387	+	0.0551463i
$545$	3.99348	−	18.2519i	0.171062	−	0.781825i
$546$	2.45007	−	0.106514i	0.104853	−	0.00455840i
$547$	5.66691	−	21.1492i	0.242300	−	0.904275i	−0.732422	−	0.680851i	$-0.761610\pi$
$547$	5.66691	−	21.1492i	0.242300	−	0.904275i	0.974721	−	0.223424i	$-0.0717233\pi$
$548$	−0.490072	+	0.490072i	−0.0209348	+	0.0209348i
$549$	6.83891	−	18.7109i	0.291877	−	0.798563i
$550$	28.1263	+	4.79937i	1.19931	+	0.204646i
$551$	−15.2345	+	8.79562i	−0.649010	+	0.374706i
$552$	30.0327	+	5.31652i	1.27828	+	0.226286i
$553$	−2.09259	−	9.41722i	−0.0889859	−	0.400461i
$554$	−14.3792	−	8.30185i	−0.610915	−	0.352712i
$555$	−0.132106	−	0.100931i	−0.00560759	−	0.00428430i
$556$	1.18626	−	0.684888i	0.0503086	−	0.0290457i
$557$	−22.0540	−	22.0540i	−0.934458	−	0.934458i	0.0635225	−	0.997980i	$-0.479767\pi$
$557$	−22.0540	−	22.0540i	−0.934458	−	0.934458i	−0.997980	+	0.0635225i	$0.979767\pi$
$558$	−0.809795	+	9.11396i	−0.0342813	+	0.385825i
$559$	−0.173214			−0.00732615
$560$	25.1188	−	0.0816902i	1.06146	−	0.00345204i
$561$	13.4772	−	1.16992i	0.569009	−	0.0493940i
$562$	−17.1436	+	4.59361i	−0.723158	+	0.193770i
$563$	−3.72139	+	0.997144i	−0.156838	+	0.0420246i	−0.336384	−	0.941725i	$-0.609204\pi$
$563$	−3.72139	+	0.997144i	−0.156838	+	0.0420246i	0.179546	+	0.983750i	$0.442537\pi$
$564$	−2.42006	−	1.13049i	−0.101903	−	0.0476021i
$565$	1.38545	+	29.8404i	0.0582865	+	1.25540i
$566$		−	38.8061i		−	1.63114i
$567$	21.0969	+	11.0418i	0.885985	+	0.463713i
$568$	−4.09995	+	4.09995i	−0.172030	+	0.172030i
$569$	−10.4167	+	6.01410i	−0.436692	+	0.252124i	−0.702193	−	0.711986i	$-0.747796\pi$
$569$	−10.4167	+	6.01410i	−0.436692	+	0.252124i	0.265502	+	0.964110i	$0.414462\pi$
$570$	−2.78538	+	21.5035i	−0.116667	+	0.900684i
$571$	15.7271	−	27.2401i	0.658158	−	1.13996i	−0.322935	−	0.946421i	$-0.604669\pi$
$571$	15.7271	−	27.2401i	0.658158	−	1.13996i	0.981092	−	0.193541i	$-0.0619973\pi$
$572$	−0.0487975	−	0.182115i	−0.00204032	−	0.00761459i
$573$	16.2741	+	13.6744i	0.679862	+	0.571256i
$574$	20.4081	+	39.1567i	0.851816	+	1.63437i
$575$	5.42900	−	31.8162i	0.226405	−	1.32683i
$576$	−14.2596	−	17.0407i	−0.594150	−	0.710028i
$577$	−22.5174	+	22.5174i	−0.937411	+	0.937411i	−0.998153	−	0.0607420i	$-0.980653\pi$
$577$	−22.5174	+	22.5174i	−0.937411	+	0.937411i	0.0607420	+	0.998153i	$0.480653\pi$
$578$	−18.3432	−	4.91504i	−0.762976	−	0.204439i
$579$	8.02778	+	11.4814i	0.333623	+	0.477150i
$580$	1.31873	+	0.288536i	0.0547573	+	0.0119808i
$581$	30.4527	+	19.3795i	1.26339	+	0.803999i
$582$	5.37596	−	30.3684i	0.222841	−	1.25881i
$583$	46.5205	+	12.4651i	1.92668	+	0.516253i
$584$	−34.5161			−1.42829
$585$	−1.81051	+	1.66373i	−0.0748555	+	0.0687867i
$586$		−	33.6910i		−	1.39176i
$587$	−6.32026	−	1.69351i	−0.260865	−	0.0698986i	0.126016	−	0.992028i	$-0.459781\pi$
$587$	−6.32026	−	1.69351i	−0.260865	−	0.0698986i	−0.386881	+	0.922130i	$0.626448\pi$
$588$	1.12857	+	1.12789i	0.0465414	+	0.0465132i
$589$	6.93739	+	4.00530i	0.285850	+	0.165036i
$590$	17.2841	+	26.9660i	0.711575	+	1.11017i
$591$	−3.38283	−	1.58023i	−0.139151	−	0.0650019i
$592$	−0.0471716	+	0.176047i	−0.00193874	+	0.00723548i
$593$	−25.4392	−	25.4392i	−1.04466	−	1.04466i	−0.998955	−	0.0457067i	$-0.985446\pi$
$593$	−25.4392	−	25.4392i	−1.04466	−	1.04466i	−0.0457067	−	0.998955i	$-0.514554\pi$
$594$	7.73266	−	28.6262i	0.317275	−	1.17455i
$595$	−3.09682	−	11.4089i	−0.126957	−	0.467721i
$596$	−0.0485668	−	0.0841201i	−0.00198937	−	0.00344570i
$597$	18.4834	−	6.71326i	0.756477	−	0.274756i
$598$	−3.33683	+	0.894100i	−0.136453	+	0.0365625i
$599$	−38.3139	−	22.1205i	−1.56546	−	0.903820i	−0.996687	−	0.0813272i	$-0.974084\pi$
$599$	−38.3139	−	22.1205i	−1.56546	−	0.903820i	−0.568775	−	0.822493i	$-0.692583\pi$
$600$	−18.0232	+	15.2728i	−0.735794	+	0.623508i
$601$	15.6353	−	9.02705i	0.637778	−	0.368221i	−0.145980	−	0.989288i	$-0.546634\pi$
$601$	15.6353	−	9.02705i	0.637778	−	0.368221i	0.783758	+	0.621066i	$0.213300\pi$
$602$	−1.23388	−	1.34522i	−0.0502892	−	0.0548271i
$603$	−6.81147	+	9.69984i	−0.277385	+	0.395008i
$604$		−	2.67863i		−	0.108992i
$605$	−6.44193	+	7.06924i	−0.261902	+	0.287405i
$606$	−8.91019	−	12.7434i	−0.361952	−	0.517666i
$607$	−10.0006	−	37.3229i	−0.405913	−	1.51489i	−0.802365	−	0.596833i	$-0.796425\pi$
$607$	−10.0006	−	37.3229i	−0.405913	−	1.51489i	0.396452	−	0.918055i	$-0.370241\pi$
$608$	2.75300	−	0.737663i	0.111649	−	0.0299162i
$609$	−11.2920	−	17.7322i	−0.457575	−	0.718545i
$610$	1.00545	+	21.6557i	0.0407094	+	0.876815i
$611$	−4.29536			−0.173772
$612$	0.453369	−	0.645617i	0.0183263	−	0.0260975i
$613$	−23.5939	+	23.5939i	−0.952949	+	0.952949i	−0.998942	−	0.0459926i	$-0.985355\pi$
$613$	−23.5939	+	23.5939i	−0.952949	+	0.952949i	0.0459926	+	0.998942i	$0.485355\pi$
$614$	15.1023	+	26.1579i	0.609478	+	1.05565i
$615$	−40.9375	−	16.8569i	−1.65076	−	0.679736i
$616$	−15.1452	+	23.7990i	−0.610219	+	0.958889i
$617$	18.1190	−	4.85497i	0.729444	−	0.195454i	0.125062	−	0.992149i	$-0.460087\pi$
$617$	18.1190	−	4.85497i	0.729444	−	0.195454i	0.604382	+	0.796695i	$0.293420\pi$
$618$	−3.48641	−	9.59903i	−0.140244	−	0.386129i
$619$	−6.29505	−	10.9033i	−0.253019	−	0.438243i	0.711336	−	0.702852i	$-0.248090\pi$
$619$	−6.29505	−	10.9033i	−0.253019	−	0.438243i	−0.964356	+	0.264609i	$0.914757\pi$
$620$	−0.186469	−	0.585758i	−0.00748878	−	0.0235246i
$621$	−32.3817	−	8.74712i	−1.29943	−	0.351010i
$622$	−15.4468	+	15.4468i	−0.619362	+	0.619362i
$623$	0.799694	−	2.54065i	0.0320391	−	0.101789i
$624$	2.44227	+	1.14086i	0.0977689	+	0.0456709i
$625$	16.2803	+	18.9724i	0.651212	+	0.758896i
$626$	−16.3770	−	9.45525i	−0.654556	−	0.377908i
$627$	−19.8753	−	16.7003i	−0.793745	−	0.666946i
$628$	−0.325497	+	1.21477i	−0.0129887	+	0.0484746i
$629$	0.0857758			0.00342011
$630$	−25.8181	−	2.20939i	−1.02862	−	0.0880241i
$631$	0.280570			0.0111693			0.00558466	−	0.999984i	$-0.498222\pi$
$631$	0.280570			0.0111693			0.00558466	+	0.999984i	$0.498222\pi$
$632$	2.57430	−	9.60740i	0.102400	−	0.382162i
$633$	−0.535988	+	3.02776i	−0.0213036	+	0.120343i
$634$	−32.9136	−	19.0027i	−1.30717	−	0.754693i
$635$	−15.6728	−	24.4520i	−0.621956	−	0.970350i
$636$	2.30177	−	1.60940i	0.0912712	−	0.0638168i
$637$	2.41193	+	0.875195i	0.0955641	+	0.0346765i
$638$	−18.5111	+	18.5111i	−0.732861	+	0.732861i
$639$	4.89033	−	4.09222i	0.193459	−	0.161886i
$640$	24.4313	+	12.6325i	0.965733	+	0.499343i
$641$	−3.24741	−	5.62468i	−0.128265	−	0.222162i	0.794739	−	0.606951i	$-0.207607\pi$
$641$	−3.24741	−	5.62468i	−0.128265	−	0.222162i	−0.923004	+	0.384789i	$0.874274\pi$
$642$	5.05693	−	6.01834i	0.199581	−	0.237525i
$643$	−13.1017	+	3.51060i	−0.516683	+	0.138445i	−0.507732	−	0.861515i	$-0.669516\pi$
$643$	−13.1017	+	3.51060i	−0.516683	+	0.138445i	−0.00895086	+	0.999960i	$0.502849\pi$
$644$	−1.89617	−	1.20669i	−0.0747196	−	0.0475502i
$645$	1.81505	+	0.235105i	0.0714675	+	0.00925727i
$646$	−5.59365	−	9.68849i	−0.220079	−	0.381188i
$647$	22.4871	−	22.4871i	0.884059	−	0.884059i	−0.109886	−	0.993944i	$-0.535048\pi$
$647$	22.4871	−	22.4871i	0.884059	−	0.884059i	0.993944	+	0.109886i	$0.0350484\pi$
$648$	14.0273	+	20.1489i	0.551044	+	0.791522i
$649$	−38.3475			−1.50527
$650$	1.11741	−	2.43128i	0.0438286	−	0.0953627i
$651$	−4.42193	+	8.49058i	−0.173309	+	0.332772i
$652$	1.24840	−	0.334509i	0.0488913	−	0.0131004i
$653$	6.27826	+	23.4308i	0.245687	+	0.916917i	0.973037	+	0.230650i	$0.0740853\pi$
$653$	6.27826	+	23.4308i	0.245687	+	0.916917i	−0.727350	+	0.686267i	$0.759248\pi$
$654$	21.0504	−	1.82732i	0.823135	−	0.0714540i
$655$	−19.0660	−	17.3741i	−0.744969	−	0.678863i
$656$			48.5348i			1.89497i
$657$	37.8105	+	3.35955i	1.47513	+	0.131068i
$658$	−30.5979	−	33.3589i	−1.19283	−	1.30047i
$659$	15.5047	−	8.95163i	0.603977	−	0.348706i	−0.166628	−	0.986020i	$-0.553288\pi$
$659$	15.5047	−	8.95163i	0.603977	−	0.348706i	0.770604	+	0.637314i	$0.219954\pi$
$660$	0.264146	+	1.97455i	0.0102819	+	0.0768594i
$661$	−13.2369	−	7.64232i	−0.514855	−	0.297252i	0.219972	−	0.975506i	$-0.429403\pi$
$661$	−13.2369	−	7.64232i	−0.514855	−	0.297252i	−0.734827	+	0.678254i	$0.762737\pi$
$662$	−8.99794	+	2.41099i	−0.349715	+	0.0937058i
$663$	0.221140	−	1.24921i	0.00858837	−	0.0485151i
$664$	18.6082	+	32.2304i	0.722139	+	1.25078i
$665$	−11.2791	+	19.6835i	−0.437383	+	0.763292i
$666$	0.0645437	−	0.176589i	0.00250102	−	0.00684267i
$667$	20.9396	+	20.9396i	0.810784	+	0.810784i
$668$	0.623262	−	2.32605i	0.0241147	−	0.0899974i
$669$	−2.98572	−	34.3949i	−0.115435	−	1.32978i
$670$	2.75688	−	12.6001i	0.106508	−	0.486784i
$671$	−22.4779	−	12.9776i	−0.867749	−	0.500995i
$672$	1.02360	+	3.24857i	0.0394864	+	0.125316i
$673$	−9.09576	−	2.43720i	−0.350616	−	0.0939472i	0.0792128	−	0.996858i	$-0.474759\pi$
$673$	−9.09576	−	2.43720i	−0.350616	−	0.0939472i	−0.429829	+	0.902911i	$0.641426\pi$
$674$			3.74012i			0.144064i
$675$	21.2300	−	14.9762i	0.817142	−	0.576436i
$676$	1.69311			0.0651195
$677$	30.3503	+	8.13234i	1.16646	+	0.312551i	0.789542	−	0.613697i	$-0.210318\pi$
$677$	30.3503	+	8.13234i	1.16646	+	0.312551i	0.376915	+	0.926248i	$0.376985\pi$
$678$	−31.7537	+	11.5331i	−1.21949	+	0.442925i
$679$	17.3237	−	27.2222i	0.664823	−	1.04469i
$680$	2.60523	−	11.9070i	0.0999060	−	0.456612i
$681$	20.7605	−	1.80215i	0.795542	−	0.0690587i
$682$	11.5149	+	3.08540i	0.440927	+	0.118146i
$683$	23.8050	−	23.8050i	0.910874	−	0.910874i	−0.0854672	−	0.996341i	$-0.527238\pi$
$683$	23.8050	−	23.8050i	0.910874	−	0.910874i	0.996341	+	0.0854672i	$0.0272383\pi$
$684$	−1.49126	+	0.260870i	−0.0570198	+	0.00997460i
$685$	5.40879	−	10.4606i	0.206659	−	0.399680i
$686$	10.3843	+	24.9661i	0.396475	+	0.953209i
$687$	2.89053	−	16.3284i	0.110281	−	0.622968i
$688$	−0.519302	−	1.93806i	−0.0197982	−	0.0738879i
$689$	2.25826	−	3.91143i	0.0860330	−	0.149013i
$690$	36.1791	−	4.83986i	1.37731	−	0.184250i
$691$	31.6309	−	18.2621i	1.20330	−	0.694724i	0.242011	−	0.970274i	$-0.422193\pi$
$691$	31.6309	−	18.2621i	1.20330	−	0.694724i	0.961287	+	0.275549i	$0.0888598\pi$
$692$	1.43439	−	1.43439i	0.0545274	−	0.0545274i
$693$	18.9072	−	24.5964i	0.718225	−	0.934339i
$694$			11.9920i			0.455211i
$695$	−15.6766	+	17.2032i	−0.594647	+	0.652553i
$696$	−1.87448	−	21.5936i	−0.0710519	−	0.818504i
$697$	22.0637	−	5.91194i	0.835721	−	0.223931i
$698$	−22.6500	+	6.06904i	−0.857313	+	0.229716i
$699$	6.60654	−	14.1428i	0.249882	−	0.534929i
$700$	1.65714	−	0.533473i	0.0626340	−	0.0201634i
$701$	18.2879			0.690725			0.345363	−	0.938469i	$-0.387756\pi$
$701$	18.2879			0.690725			0.345363	+	0.938469i	$0.387756\pi$
$702$	−2.40537	−	1.39525i	−0.0907847	−	0.0526605i
$703$	−0.116393	−	0.116393i	−0.00438984	−	0.00438984i
$704$	−25.0710	+	14.4748i	−0.944900	+	0.545538i
$705$	45.0097	+	5.83017i	1.69517	+	0.219577i
$706$	7.94182	+	4.58521i	0.298894	+	0.172567i
$707$	−3.52896	−	15.8813i	−0.132720	−	0.597277i
$708$	−1.43862	+	1.71213i	−0.0540667	+	0.0643457i
$709$	7.14195	−	4.12341i	0.268222	−	0.154858i	−0.359858	−	0.933007i	$-0.617175\pi$
$709$	7.14195	−	4.12341i	0.268222	−	0.154858i	0.628079	+	0.778149i	$0.283841\pi$
$710$	−3.18715	+	6.16396i	−0.119611	+	0.231329i
$711$	−3.75511	+	10.2738i	−0.140828	+	0.385298i
$712$	1.94185	−	1.94185i	0.0727740	−	0.0727740i
$713$	3.49018	−	13.0255i	0.130708	−	0.487810i
$714$	11.2769	−	7.18125i	0.422029	−	0.268751i
$715$	1.72873	+	2.69709i	0.0646508	+	0.100865i
$716$	0.186973	−	0.323846i	0.00698750	−	0.0121027i
$717$	−9.95176	−	1.76171i	−0.371655	−	0.0657921i
$718$	−41.1682	−	11.0310i	−1.53638	−	0.411673i
$719$	25.4661			0.949724			0.474862	−	0.880060i	$-0.342498\pi$
$719$	25.4661			0.949724			0.474862	+	0.880060i	$0.342498\pi$
$720$	−24.0432	−	15.2696i	−0.896038	−	0.569065i
$721$	0.460838	−	10.6750i	0.0171625	−	0.397556i
$722$	1.62318	−	6.05779i	0.0604085	−	0.225448i
$723$	9.02946	−	10.7461i	0.335809	−	0.399652i
$724$	1.33536	−	2.31290i	0.0496281	−	0.0859584i
$725$	−22.8386	+	2.12532i	−0.848205	+	0.0789323i
$726$	−9.79970	−	4.57775i	−0.363701	−	0.169896i
$727$	−19.7819	−	5.30055i	−0.733671	−	0.196586i	−0.127407	−	0.991850i	$-0.540666\pi$
$727$	−19.7819	−	5.30055i	−0.733671	−	0.196586i	−0.606263	+	0.795264i	$0.707332\pi$
$728$	1.78819	+	1.94955i	0.0662747	+	0.0722550i
$729$	−13.4050	−	23.4373i	−0.496481	−	0.868048i
$730$	−39.3619	+	12.5304i	−1.45685	+	0.463771i
$731$	−0.817776	+	0.472143i	−0.0302466	+	0.0174629i
$732$	−1.42269	+	0.516726i	−0.0525840	+	0.0190987i
$733$	20.7597	−	5.56254i	0.766776	−	0.205457i	0.145829	−	0.989310i	$-0.453415\pi$
$733$	20.7597	−	5.56254i	0.766776	−	0.205457i	0.620947	+	0.783853i	$0.286748\pi$
$734$	−13.9527	+	24.1668i	−0.515004	+	0.892013i
$735$	−24.0859	−	12.4446i	−0.888422	−	0.459027i
$736$	−2.39893	−	4.15508i	−0.0884259	−	0.153158i
$737$	10.9194	+	10.9194i	0.402220	+	0.402220i
$738$	4.43119	−	49.8715i	0.163114	−	1.83579i
$739$			43.5443i			1.60180i	0.598796	+	0.800901i	$0.295646\pi$
$739$			43.5443i			1.60180i	−0.598796	+	0.800901i	$0.704354\pi$
$740$	0.000585834		0.0126179i	2.15357e−5		0.000463844i
$741$	−1.99518	+	1.39503i	−0.0732946	+	0.0512476i
$742$	46.4638	−	10.3247i	1.70574	−	0.379030i
$743$	−10.1722	−	37.9631i	−0.373181	−	1.39273i	−0.855984	−	0.517002i	$-0.827048\pi$
$743$	−10.1722	−	37.9631i	−0.373181	−	1.39273i	0.482803	−	0.875729i	$-0.339619\pi$
$744$	−8.08899	+	5.65582i	−0.296557	+	0.207352i
$745$	1.21991	+	1.11166i	0.0446941	+	0.0407281i
$746$	54.6132			1.99953
$747$	−17.2472	−	37.1178i	−0.631043	−	1.35807i
$748$	−0.726789	−	0.726789i	−0.0265740	−	0.0265740i
$749$	7.29329	−	3.80119i	0.266491	−	0.138892i
$750$	−15.0090	+	23.9599i	−0.548053	+	0.874893i
$751$	−12.6732	+	21.9506i	−0.462452	+	0.800990i	−0.999082	−	0.0428274i	$-0.986363\pi$
$751$	−12.6732	+	21.9506i	−0.462452	+	0.800990i	0.536631	+	0.843817i	$0.319697\pi$
$752$	−12.8777	−	48.0602i	−0.469601	−	1.75258i
$753$	−4.45093	−	12.2546i	−0.162201	−	0.446583i
$754$	1.22750	+	2.12609i	0.0447028	+	0.0774276i
$755$	13.8062	+	43.3695i	0.502457	+	1.57838i
$756$	−0.388861	−	1.76690i	−0.0141427	−	0.0642617i
$757$	−2.86625	−	2.86625i	−0.104176	−	0.104176i	0.653098	−	0.757273i	$-0.273469\pi$
$757$	−2.86625	−	2.86625i	−0.104176	−	0.104176i	−0.757273	+	0.653098i	$0.773469\pi$
$758$	29.7527	+	7.97221i	1.08067	+	0.289564i
$759$	−18.4957	+	39.5943i	−0.671352	+	1.43718i
$760$	−19.6922	+	12.6219i	−0.714312	+	0.457846i
$761$	13.3875	+	7.72926i	0.485295	+	0.280185i	0.722621	−	0.691245i	$-0.242937\pi$
$761$	13.3875	+	7.72926i	0.485295	+	0.280185i	−0.237325	+	0.971430i	$0.576271\pi$
$762$	21.1299	−	25.1471i	0.765457	−	0.910984i
$763$	21.0869	+	6.63731i	0.763397	+	0.240287i
$764$		−	1.61504i		−	0.0584301i
$765$	−4.01282	+	12.7899i	−0.145084	+	0.462419i
$766$			5.94052i			0.214640i
$767$	−0.930760	+	3.47364i	−0.0336078	+	0.125426i
$768$	−0.949544	+	5.36391i	−0.0342637	+	0.193553i
$769$	7.41964	−	12.8512i	0.267559	−	0.463426i	−0.700672	−	0.713484i	$-0.747116\pi$
$769$	7.41964	−	12.8512i	0.267559	−	0.463426i	0.968231	+	0.250058i	$0.0804496\pi$
$770$	−8.63176	+	32.6384i	−0.311067	+	1.17621i
$771$	12.3807	+	17.7069i	0.445879	+	0.637699i
$772$	0.275494	−	1.02816i	0.00991526	−	0.0370043i
$773$	−6.14208	−	6.14208i	−0.220915	−	0.220915i	0.587969	−	0.808884i	$-0.299928\pi$
$773$	−6.14208	−	6.14208i	−0.220915	−	0.220915i	−0.808884	+	0.587969i	$0.799928\pi$
$774$	0.356660	+	2.03885i	0.0128199	+	0.0732848i
$775$	6.03821	+	8.52286i	0.216899	+	0.306150i
$776$	28.8113	−	16.6342i	1.03427	−	0.597134i
$777$	0.132922	−	0.145005i	0.00476857	−	0.00520203i
$778$	11.7311	+	43.7812i	0.420582	+	1.56963i
$779$	−37.9613	−	21.9170i	−1.36010	−	0.785257i
$780$	0.185273	+	0.0239986i	0.00663383	+	0.000859287i
$781$	−4.15397	−	7.19488i	−0.148641	−	0.257453i
$782$	−13.3167	+	13.3167i	−0.476204	+	0.476204i
$783$	−0.0483742	+	23.8371i	−0.00172875	+	0.851868i
$784$	−2.56136	+	29.6106i	−0.0914770	+	1.05752i
$785$	−0.991064	−	21.3459i	−0.0353726	−	0.761869i
$786$	12.3463	−	26.4301i	0.440379	−	0.942731i
$787$	12.1760	+	45.4416i	0.434029	+	1.61982i	0.743380	+	0.668869i	$0.233221\pi$
$787$	12.1760	+	45.4416i	0.434029	+	1.61982i	−0.309352	+	0.950948i	$0.600112\pi$
$788$	0.0734228	+	0.274017i	0.00261558	+	0.00976147i
$789$	−0.884855	+	0.0768117i	−0.0315017	+	0.00273457i
$790$	−0.552073	−	11.8908i	−0.0196419	−	0.423054i
$791$	−35.3128	−	1.52446i	−1.25558	−	0.0542035i
$792$	29.0078	−	13.4788i	1.03075	−	0.478949i
$793$	−1.72113	+	1.72113i	−0.0611191	+	0.0611191i
$794$	−4.58186	−	7.93602i	−0.162604	−	0.281639i
$795$	−28.9727	+	37.9214i	−1.02755	+	1.34493i
$796$	−1.29394	−	0.747055i	−0.0458624	−	0.0264787i
$797$	−4.98780	−	18.6147i	−0.176677	−	0.659367i	−0.996260	−	0.0864066i	$-0.972462\pi$
$797$	−4.98780	−	18.6147i	−0.176677	−	0.659367i	0.819583	−	0.572960i	$-0.194205\pi$
$798$	−25.0467	−	5.55762i	−0.886644	−	0.196738i
$799$	−20.2793	+	11.7083i	−0.717430	+	0.414208i
$800$	3.66332	+	0.625096i	0.129518	+	0.0221005i
$801$	−2.31620	+	1.93819i	−0.0818389	+	0.0684826i
$802$	−39.5218	−	39.5218i	−1.39556	−	1.39556i
$803$	12.8002	−	47.7711i	0.451710	−	1.68581i
$804$	0.897169	−	0.0778806i	0.0316407	−	0.00274664i
$805$	36.9203	+	9.76418i	1.30127	+	0.344142i
$806$	0.558971	−	0.968166i	0.0196889	−	0.0341022i
$807$	8.41263	−	3.05550i	0.296138	−	0.107559i
$808$	4.34132	−	16.2020i	0.152727	−	0.569985i
$809$		−	27.6394i		−	0.971751i	−0.874028	−	0.485876i	$-0.838501\pi$
$809$		−	27.6394i		−	0.971751i	0.874028	−	0.485876i	$-0.161499\pi$
$810$	23.3113	+	17.8853i	0.819074	+	0.628424i
$811$			13.5840i			0.476997i	0.971143	+	0.238499i	$0.0766552\pi$
$811$			13.5840i			0.476997i	−0.971143	+	0.238499i	$0.923345\pi$
$812$	−0.479557	+	1.52356i	−0.0168292	+	0.0534666i
$813$	−0.0126956	−	0.0349545i	−0.000445255	−	0.00122591i
$814$	−0.212140	−	0.122479i	−0.00743550	−	0.00429289i
$815$	−18.4887	+	11.8505i	−0.647630	+	0.415105i
$816$	14.6402	−	1.27087i	0.512509	−	0.0444894i
$817$	1.75035	+	0.469004i	0.0612369	+	0.0164084i
$818$	31.1016	+	31.1016i	1.08744	+	1.08744i
$819$	−1.76911	−	2.30967i	−0.0618176	−	0.0807064i
$820$	1.02036	+	3.20526i	0.0356324	+	0.111933i
$821$	−4.88248	−	8.45670i	−0.170400	−	0.295141i	0.768160	−	0.640258i	$-0.221173\pi$
$821$	−4.88248	−	8.45670i	−0.170400	−	0.295141i	−0.938560	+	0.345117i	$0.887839\pi$
$822$	13.1140	+	2.32150i	0.457403	+	0.0809715i
$823$	11.0194	+	41.1250i	0.384113	+	1.43353i	0.839561	+	0.543266i	$0.182812\pi$
$823$	11.0194	+	41.1250i	0.384113	+	1.43353i	−0.455448	+	0.890262i	$0.650521\pi$
$824$	5.50825	−	9.54058i	0.191889	−	0.332362i
$825$	−14.4540	−	30.6084i	−0.503223	−	1.06565i
$826$	−33.6074	+	17.5159i	−1.16935	+	0.609454i
$827$	−35.2828	−	35.2828i	−1.22690	−	1.22690i	−0.965129	−	0.261774i	$-0.915693\pi$
$827$	−35.2828	−	35.2828i	−1.22690	−	1.22690i	−0.261774	−	0.965129i	$-0.584307\pi$
$828$	1.07392	+	2.31118i	0.0373212	+	0.0803192i
$829$	30.6110			1.06316			0.531582	−	0.847007i	$-0.321598\pi$
$829$	30.6110			1.06316			0.531582	+	0.847007i	$0.321598\pi$
$830$	32.9213	+	30.0000i	1.14272	+	1.04131i
$831$	1.70348	+	19.6238i	0.0590932	+	0.680742i
$832$	0.702654	+	2.62234i	0.0243601	+	0.0909133i
$833$	13.7728	−	2.44243i	0.477199	−	0.0846253i
$834$	−23.8478	−	11.1401i	−0.825782	−	0.385749i
$835$	1.89769	+	40.8732i	0.0656724	+	1.41448i
$836$			1.97242i			0.0682176i
$837$	9.41154	−	5.40832i	0.325311	−	0.186939i
$838$	−10.7155	−	10.7155i	−0.370160	−	0.370160i
$839$	8.60220	+	14.8995i	0.296981	+	0.514386i	0.975444	−	0.220249i	$-0.0706868\pi$
$839$	8.60220	+	14.8995i	0.296981	+	0.514386i	−0.678463	+	0.734635i	$0.737354\pi$
$840$	−16.0917	−	22.8558i	−0.555216	−	0.788600i
$841$	−3.97761	+	6.88943i	−0.137159	+	0.237567i
$842$	26.2431	−	7.03182i	0.904397	−	0.242333i
$843$	16.1203	+	13.5451i	0.555212	+	0.466519i
$844$	0.202323	−	0.116811i	0.00696425	−	0.00402081i
$845$	−27.4130	+	8.72660i	−0.943035	+	0.300204i
$846$	8.84449	+	50.5595i	0.304080	+	1.73827i
$847$	−7.64936	−	8.33961i	−0.262835	−	0.286552i
$848$	50.5348	+	13.5407i	1.73537	+	0.464991i
$849$	−37.7293	+	26.3803i	−1.29487	+	0.905370i
$850$	−1.35161	−	14.5244i	−0.0463600	−	0.498183i
$851$	−0.138547	+	0.239971i	−0.00474934	+	0.00822610i
$852$	−0.477072	−	0.0844535i	−0.0163442	−	0.00289333i
$853$	4.23563	−	15.8076i	0.145025	−	0.541241i	−0.854729	−	0.519074i	$-0.826277\pi$
$853$	4.23563	−	15.8076i	0.145025	−	0.541241i	0.999754	−	0.0221670i	$-0.00705656\pi$
$854$	−25.6272	−	1.10633i	−0.876943	−	0.0378577i
$855$	22.8003	−	11.9100i	0.779754	−	0.407312i
$856$	8.47967			0.289829
$857$	−3.46122	−	0.927430i	−0.118233	−	0.0316804i	0.199217	−	0.979955i	$-0.436160\pi$
$857$	−3.46122	−	0.927430i	−0.118233	−	0.0316804i	−0.317450	+	0.948275i	$0.602827\pi$
$858$	−2.33066	+	2.77376i	−0.0795674	+	0.0946945i
$859$	8.69388	−	15.0582i	0.296631	−	0.513781i	−0.678732	−	0.734386i	$-0.737470\pi$
$859$	8.69388	−	15.0582i	0.296631	−	0.513781i	0.975363	+	0.220606i	$0.0708034\pi$
$860$	−0.0750391	−	0.117073i	−0.00255881	−	0.00399215i
$861$	24.1967	−	46.4603i	0.824622	−	1.58336i
$862$	−9.56800	+	35.7082i	−0.325887	+	1.21623i
$863$	−4.87607	+	4.87607i	−0.165984	+	0.165984i	−0.785211	−	0.619228i	$-0.787446\pi$
$863$	−4.87607	+	4.87607i	−0.165984	+	0.165984i	0.619228	+	0.785211i	$0.287446\pi$
$864$	1.00714	−	3.72843i	0.0342637	−	0.126844i
$865$	−15.8310	+	30.6173i	−0.538270	+	1.04102i
$866$	24.8854	−	14.3676i	0.845642	−	0.488231i
$867$	7.69099	+	21.1754i	0.261200	+	0.719154i
$868$	0.710031	−	0.157775i	0.0241000	−	0.00535523i
$869$	12.3422	+	7.12576i	0.418680	+	0.241725i
$870$	−9.97678	−	23.9447i	−0.338245	−	0.811802i
$871$	1.25414	−	0.724080i	0.0424950	−	0.0245345i
$872$	16.1170	+	16.1170i	0.545791	+	0.545791i
$873$	−33.1803	+	15.4176i	−1.12298	+	0.521807i
$874$	36.1400			1.22245
$875$	−24.0810	+	17.1786i	−0.814087	+	0.580744i
$876$	−1.65266	−	2.36365i	−0.0558383	−	0.0798603i
$877$	44.4733	−	11.9166i	1.50176	−	0.402394i	0.588068	−	0.808811i	$-0.299889\pi$
$877$	44.4733	−	11.9166i	1.50176	−	0.402394i	0.913688	+	0.406417i	$0.133222\pi$
$878$	41.5610	−	11.1362i	1.40262	−	0.375830i
$879$	−32.7561	+	22.9031i	−1.10484	+	0.772501i
$880$	−24.9945	+	27.4285i	−0.842566	+	0.924614i
$881$		−	23.7070i		−	0.798708i	−0.916797	−	0.399354i	$-0.869234\pi$
$881$		−	23.7070i		−	0.798708i	0.916797	−	0.399354i	$-0.130766\pi$
$882$	5.33531	−	30.1922i	0.179649	−	1.01662i
$883$	10.8246	−	10.8246i	0.364276	−	0.364276i	−0.501109	−	0.865384i	$-0.667074\pi$
$883$	10.8246	−	10.8246i	0.364276	−	0.364276i	0.865384	+	0.501109i	$0.167074\pi$
$884$	−0.0834752	+	0.0481944i	−0.00280758	+	0.00162095i
$885$	14.4680	−	35.1359i	0.486335	−	1.18108i
$886$	11.1447	−	19.3032i	0.374413	−	0.648502i
$887$	−1.04539	−	3.90146i	−0.0351009	−	0.130998i	0.946152	−	0.323722i	$-0.104934\pi$
$887$	−1.04539	−	3.90146i	−0.0351009	−	0.130998i	−0.981253	+	0.192724i	$0.938268\pi$
$888$	0.190631	−	0.0692379i	0.00639715	−	0.00232347i
$889$	30.4744	−	15.8829i	1.02208	−	0.532696i
$890$	1.50952	−	2.91943i	0.0505993	−	0.0978594i
$891$	−33.0884	+	11.9419i	−1.10850	+	0.400069i
$892$	−1.85482	+	1.85482i	−0.0621040	+	0.0621040i
$893$	43.4053	+	11.6304i	1.45250	+	0.389197i
$894$	−0.789964	+	1.69110i	−0.0264204	+	0.0565587i
$895$	−1.35810	+	6.20706i	−0.0453961	+	0.207479i
$896$	−17.4720	+	27.4552i	−0.583698	+	0.917213i
$897$	3.13765	+	2.63642i	0.104763	+	0.0880276i
$898$	−4.31738	−	1.15684i	−0.144073	−	0.0386042i
$899$	−9.58325			−0.319619
$900$	−1.90884	−	0.502947i	−0.0636280	−	0.0167649i
$901$		−	24.6222i		−	0.820284i
$902$	−63.0093	−	16.8833i	−2.09798	−	0.562152i
$903$	−0.469102	+	2.11412i	−0.0156107	+	0.0703534i
$904$	−31.5603	−	18.2214i	−1.04968	−	0.606033i
$905$	−9.69949	+	44.3307i	−0.322422	+	1.47360i
$906$	−42.1835	+	29.4947i	−1.40145	+	0.979897i
$907$	5.69211	−	21.2432i	0.189003	−	0.705370i	−0.804735	−	0.593635i	$-0.797692\pi$
$907$	5.69211	−	21.2432i	0.189003	−	0.705370i	0.993738	−	0.111735i	$-0.0356409\pi$
$908$	−1.11955	−	1.11955i	−0.0371536	−	0.0371536i
$909$	−6.33266	+	17.3259i	−0.210041	+	0.574663i
$910$	2.74698	+	1.57408i	0.0910615	+	0.0521803i
$911$	−4.61287	−	7.98972i	−0.152831	−	0.264711i	0.779436	−	0.626482i	$-0.215506\pi$
$911$	−4.61287	−	7.98972i	−0.152831	−	0.264711i	−0.932267	+	0.361770i	$0.882172\pi$
$912$	−21.5904	−	18.1414i	−0.714929	−	0.600721i
$913$	−51.5084	+	13.8016i	−1.70468	+	0.456767i
$914$	5.81996	+	3.36016i	0.192507	+	0.111144i
$915$	20.3713	−	15.6991i	0.673454	−	0.518995i
$916$	−1.09111	+	0.629951i	−0.0360512	+	0.0208142i
$917$	22.4922	−	20.6306i	0.742758	−	0.681282i
$918$	−15.1594	−	0.0307640i	−0.500335	−	0.00101536i
$919$		−	29.1931i		−	0.962991i	−0.876449	−	0.481496i	$-0.840094\pi$
$919$		−	29.1931i		−	0.962991i	0.876449	−	0.481496i	$-0.159906\pi$
$920$	29.1035	+	26.5210i	0.959516	+	0.874370i
$921$	15.1655	−	32.4653i	0.499722	−	1.06977i
$922$	13.7779	+	51.4196i	0.453749	+	1.69342i
$923$	−0.752559	+	0.201648i	−0.0247708	+	0.00663731i
$924$	−2.35491	+	0.102378i	−0.0774709	+	0.00336798i
$925$	−0.0745203	−	0.201276i	−0.00245021	−	0.00661791i
$926$	39.3663			1.29366
$927$	−6.96260	+	9.91505i	−0.228682	+	0.325653i
$928$	−2.41098	+	2.41098i	−0.0791444	+	0.0791444i
$929$	18.9546	+	32.8304i	0.621882	+	1.07713i	0.989135	+	0.147010i	$0.0469649\pi$
$929$	18.9546	+	32.8304i	0.621882	+	1.07713i	−0.367253	+	0.930121i	$0.619702\pi$
$930$	−7.17139	+	9.38641i	−0.235159	+	0.307792i
$931$	−22.0031	−	15.3747i	−0.721124	−	0.503884i
$932$	−1.14560	+	0.306962i	−0.0375253	+	0.0100549i
$933$	25.5189	+	4.51748i	0.835452	+	0.147895i
$934$	−27.3706	−	47.4073i	−0.895593	−	1.55121i
$935$	15.5134	+	8.02137i	0.507342	+	0.262327i
$936$	−0.516886	−	2.95478i	−0.0168949	−	0.0965799i
$937$	−38.2007	+	38.2007i	−1.24796	+	1.24796i	−0.291343	+	0.956619i	$0.594102\pi$
$937$	−38.2007	+	38.2007i	−1.24796	+	1.24796i	−0.956619	+	0.291343i	$0.905898\pi$
$938$	14.5572	+	4.58204i	0.475311	+	0.149609i
$939$	1.94015	+	22.3502i	0.0633145	+	0.729370i
$940$	−1.86083	−	2.90319i	−0.0606935	−	0.0946915i
$941$	24.9324	+	14.3947i	0.812774	+	0.469255i	0.847918	−	0.530127i	$-0.177856\pi$
$941$	24.9324	+	14.3947i	0.812774	+	0.469255i	−0.0351445	+	0.999382i	$0.511189\pi$
$942$	22.7145	−	8.25001i	0.740079	−	0.268800i
$943$	−19.0982	+	71.2755i	−0.621924	+	2.32105i
$944$	−41.6565			−1.35580
$945$	15.4030	+	26.6035i	0.501059	+	0.865413i
$946$	2.69669			0.0876769
$947$	6.96236	−	25.9839i	0.226246	−	0.844363i	−0.755655	−	0.654970i	$-0.772681\pi$
$947$	6.96236	−	25.9839i	0.226246	−	0.844363i	0.981901	−	0.189393i	$-0.0606520\pi$
$948$	0.781170	−	0.283724i	0.0253712	−	0.00921494i
$949$	−4.01657	−	2.31897i	−0.130384	−	0.0752770i
$950$	−17.8747	+	21.5429i	−0.579933	+	0.698942i
$951$	3.89922	+	44.9182i	0.126441	+	1.45657i
$952$	13.7565	+	4.32998i	0.445849	+	0.140336i
$953$	−20.7929	+	20.7929i	−0.673548	+	0.673548i	−0.958532	−	0.284984i	$-0.908012\pi$
$953$	−20.7929	+	20.7929i	−0.673548	+	0.673548i	0.284984	+	0.958532i	$0.408012\pi$
$954$	−50.6902	−	18.5274i	−1.64116	−	0.599848i
$955$	8.32422	+	26.1490i	0.269365	+	0.846161i
$956$	0.383940	+	0.665003i	0.0124175	+	0.0215077i
$957$	30.5812	+	5.41362i	0.988549	+	0.174998i
$958$	−11.9604	+	3.20478i	−0.386423	+	0.103542i
$959$	11.7553	+	7.48088i	0.379600	+	0.241570i
$960$	−3.80354	−	28.4324i	−0.122759	−	0.917652i
$961$	−13.3180	−	23.0675i	−0.429613	−	0.744112i
$962$	−0.0162435	+	0.0162435i	−0.000523713	+	0.000523713i
$963$	−9.28902	−	0.825349i	−0.299335	−	0.0265965i
$964$	−1.06644			−0.0343477
$965$	0.838818	+	18.0668i	0.0270025	+	0.581591i
$966$	1.87583	+	43.1483i	0.0603539	+	1.38827i
$967$	−30.2366	+	8.10188i	−0.972345	+	0.260539i	−0.709817	−	0.704386i	$-0.751223\pi$
$967$	−30.2366	+	8.10188i	−0.972345	+	0.260539i	−0.262527	+	0.964925i	$0.584556\pi$
$968$	−3.01981	−	11.2701i	−0.0970604	−	0.362234i
$969$	−5.61708	+	12.0246i	−0.180447	+	0.386287i
$970$	26.8175	−	29.4289i	0.861057	−	0.944906i
$971$			0.191830i			0.00615612i	0.999995	+	0.00307806i	$0.000979779\pi$
$971$			0.191830i			0.00615612i	−0.999995	+	0.00307806i	$0.999020\pi$
$972$	−0.708145	+	1.92533i	−0.0227138	+	0.0617549i
$973$	−18.6149	−	20.2946i	−0.596766	−	0.650616i
$974$	−4.74729	+	2.74085i	−0.152113	+	0.0878225i
$975$	−3.12343	+	0.566371i	−0.100030	+	0.0181384i
$976$	−24.4175	−	14.0974i	−0.781585	−	0.451248i
$977$	30.9571	−	8.29492i	0.990404	−	0.265378i	0.272984	−	0.962019i	$-0.411989\pi$
$977$	30.9571	−	8.29492i	0.990404	−	0.265378i	0.717420	+	0.696640i	$0.245323\pi$
$978$	−19.0142	−	15.9768i	−0.608008	−	0.510881i
$979$	1.96744	+	3.40770i	0.0628795	+	0.108911i
$980$	0.453356	+	2.00934i	0.0144819	+	0.0641861i
$981$	−16.0866	−	19.2240i	−0.513606	−	0.613776i
$982$	−4.16665	−	4.16665i	−0.132963	−	0.132963i
$983$	−6.91122	+	25.7930i	−0.220434	+	0.822670i	0.763749	+	0.645513i	$0.223357\pi$
$983$	−6.91122	+	25.7930i	−0.220434	+	0.822670i	−0.984183	+	0.177156i	$0.943310\pi$
$984$	44.2628	−	30.9486i	1.41105	−	0.986605i
$985$	−2.60112	−	4.05816i	−0.0828786	−	0.129304i
$986$	11.5905	+	6.69180i	0.369118	+	0.213110i
$987$	−11.6328	+	52.4261i	−0.370277	+	1.66874i
$988$	0.178668	+	0.0478740i	0.00568419	+	0.00152307i
$989$		−	3.05047i		−	0.0969993i
$990$	28.1871	−	25.9019i	0.895845	−	0.823216i
$991$	−57.6436			−1.83111			−0.915554	−	0.402194i	$-0.868248\pi$
$991$	−57.6436			−1.83111			−0.915554	+	0.402194i	$0.868248\pi$
$992$	1.49976	+	0.401859i	0.0476174	+	0.0127591i
$993$	8.46086	+	7.10926i	0.268497	+	0.225606i
$994$	−6.92688	−	4.40814i	−0.219707	−	0.139818i
$995$	24.8005	+	5.42631i	0.786228	+	0.172026i
$996$	−1.31614	+	2.81750i	−0.0417036	+	0.0892760i
$997$	28.5152	+	7.64061i	0.903084	+	0.241981i	0.680340	−	0.732896i	$-0.261832\pi$
$997$	28.5152	+	7.64061i	0.903084	+	0.241981i	0.222744	+	0.974877i	$0.428499\pi$
$998$	−7.19532	+	7.19532i	−0.227764	+	0.227764i
$999$	−0.215565	+	0.0572918i	−0.00682017	+	0.00181263i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	315.2.cb.a.202.12	yes	176
3.2	odd	2		945.2.ce.a.307.33		176
5.3	odd	4	inner	315.2.cb.a.13.34	yes	176
7.6	odd	2	inner	315.2.cb.a.202.11	yes	176
9.2	odd	6		945.2.ce.a.937.12		176
9.7	even	3	inner	315.2.cb.a.97.33	yes	176
15.8	even	4		945.2.ce.a.118.11		176
21.20	even	2		945.2.ce.a.307.34		176
35.13	even	4	inner	315.2.cb.a.13.33	✓	176
45.38	even	12		945.2.ce.a.748.34		176
45.43	odd	12	inner	315.2.cb.a.223.11	yes	176
63.20	even	6		945.2.ce.a.937.11		176
63.34	odd	6	inner	315.2.cb.a.97.34	yes	176
105.83	odd	4		945.2.ce.a.118.12		176
315.83	odd	12		945.2.ce.a.748.33		176
315.223	even	12	inner	315.2.cb.a.223.12	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
315.2.cb.a.13.33	✓	176	35.13	even	4	inner
315.2.cb.a.13.34	yes	176	5.3	odd	4	inner
315.2.cb.a.97.33	yes	176	9.7	even	3	inner
315.2.cb.a.97.34	yes	176	63.34	odd	6	inner
315.2.cb.a.202.11	yes	176	7.6	odd	2	inner
315.2.cb.a.202.12	yes	176	1.1	even	1	trivial
315.2.cb.a.223.11	yes	176	45.43	odd	12	inner
315.2.cb.a.223.12	yes	176	315.223	even	12	inner
945.2.ce.a.118.11		176	15.8	even	4
945.2.ce.a.118.12		176	105.83	odd	4
945.2.ce.a.307.33		176	3.2	odd	2
945.2.ce.a.307.34		176	21.20	even	2
945.2.ce.a.748.33		176	315.83	odd	12
945.2.ce.a.748.34		176	45.38	even	12
945.2.ce.a.937.11		176	63.20	even	6
945.2.ce.a.937.12		176	9.2	odd	6

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:	\( N \)	\(=\)	\( 315 = 3^{2} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	315.cb (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.377876 + 1.41025i) q^{2} +(1.62800 - 0.591295i) q^{3} +(-0.113968 - 0.0657996i) q^{4} +(2.18439 + 0.477942i) q^{5} +(0.218695 + 2.51932i) q^{6} +(-0.794356 + 2.52369i) q^{7} +(-1.92889 + 1.92889i) q^{8} +(2.30074 - 1.92525i) q^{9} +O(q^{10})\)	\(q+(-0.377876 + 1.41025i) q^{2} +(1.62800 - 0.591295i) q^{3} +(-0.113968 - 0.0657996i) q^{4} +(2.18439 + 0.477942i) q^{5} +(0.218695 + 2.51932i) q^{6} +(-0.794356 + 2.52369i) q^{7} +(-1.92889 + 1.92889i) q^{8} +(2.30074 - 1.92525i) q^{9} +(-1.49945 + 2.89994i) q^{10} +(-1.95430 - 3.38495i) q^{11} +(-0.224447 - 0.0397326i) q^{12} +(-0.354054 + 0.0948685i) q^{13} +(-3.25887 - 2.07388i) q^{14} +(3.83879 - 0.513534i) q^{15} +(-2.12294 - 3.67704i) q^{16} +(-1.41297 + 1.41297i) q^{17} +(1.84570 + 3.97213i) q^{18} +3.83464 q^{19} +(-0.217503 - 0.198202i) q^{20} +(0.199035 + 4.57825i) q^{21} +(5.51212 - 1.47697i) q^{22} +(-1.67073 - 6.23526i) q^{23} +(-1.99968 + 4.28077i) q^{24} +(4.54314 + 2.08803i) q^{25} -0.535154i q^{26} +(2.60720 - 4.49472i) q^{27} +(0.256589 - 0.235352i) q^{28} +(-3.97286 + 2.29373i) q^{29} +(-0.726373 + 5.60771i) q^{30} +(1.80914 + 1.04451i) q^{31} +(0.717928 - 0.192368i) q^{32} +(-5.18310 - 4.35512i) q^{33} +(-1.45872 - 2.52657i) q^{34} +(-2.94136 + 5.13307i) q^{35} +(-0.388892 + 0.0680298i) q^{36} +(-0.0303530 - 0.0303530i) q^{37} +(-1.44902 + 5.40781i) q^{38} +(-0.520303 + 0.363796i) q^{39} +(-5.13535 + 3.29156i) q^{40} +(-9.89957 - 5.71552i) q^{41} +(-6.53170 - 1.44932i) q^{42} +(0.456457 + 0.122307i) q^{43} +0.514369i q^{44} +(5.94588 - 3.10589i) q^{45} +9.42462 q^{46} +(11.3193 + 3.03299i) q^{47} +(-5.63035 - 4.73092i) q^{48} +(-5.73800 - 4.00941i) q^{49} +(-4.66138 + 5.61796i) q^{50} +(-1.46483 + 3.13579i) q^{51} +(0.0465932 + 0.0124846i) q^{52} +(-8.71292 + 8.71292i) q^{53} +(5.35348 + 5.37526i) q^{54} +(-2.65116 - 8.32811i) q^{55} +(-3.33569 - 6.40015i) q^{56} +(6.24278 - 2.26740i) q^{57} +(-1.73349 - 6.46947i) q^{58} +(4.90552 - 8.49662i) q^{59} +(-0.471290 - 0.194064i) q^{60} +(5.75087 - 3.32027i) q^{61} +(-2.15664 + 2.15664i) q^{62} +(3.03113 + 7.33568i) q^{63} -7.40661i q^{64} +(-0.818735 + 0.0380128i) q^{65} +(8.10038 - 5.66379i) q^{66} +(-3.81623 + 1.02256i) q^{67} +(0.254006 - 0.0680608i) q^{68} +(-6.40683 - 9.16308i) q^{69} +(-6.12745 - 6.08772i) q^{70} +2.12555 q^{71} +(-0.724276 + 8.15148i) q^{72} +(8.94714 + 8.94714i) q^{73} +(0.0542751 - 0.0313357i) q^{74} +(8.63086 + 0.712958i) q^{75} +(-0.437027 - 0.252318i) q^{76} +(10.0950 - 2.24319i) q^{77} +(-0.316434 - 0.871228i) q^{78} +(-3.15769 + 1.82309i) q^{79} +(-2.87992 - 9.04674i) q^{80} +(1.58681 - 8.85901i) q^{81} +(11.8011 - 11.8011i) q^{82} +(3.53109 - 13.1782i) q^{83} +(0.278563 - 0.534871i) q^{84} +(-3.76180 + 2.41116i) q^{85} +(-0.344968 + 0.597502i) q^{86} +(-5.11152 + 6.08331i) q^{87} +(10.2988 + 2.75957i) q^{88} -1.00672 q^{89} +(2.13328 + 9.55882i) q^{90} +(0.0418267 - 0.968881i) q^{91} +(-0.219867 + 0.820555i) q^{92} +(3.56288 + 0.630717i) q^{93} +(-8.55454 + 14.8169i) q^{94} +(8.37636 + 1.83273i) q^{95} +(1.05504 - 0.737682i) q^{96} +(-11.7802 - 3.15650i) q^{97} +(7.82253 - 6.57696i) q^{98} +(-11.0132 - 4.02537i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8}+O(q^{10}) \) 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8	\( 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8} - 12 q^{11} - 20 q^{15} + 56 q^{16} - 8 q^{18} + 12 q^{22} - 12 q^{23} - 4 q^{25} - 32 q^{28} - 56 q^{30} + 48 q^{32} - 8 q^{35} - 80 q^{36} - 16 q^{37} + 38 q^{42} - 4 q^{43} - 80 q^{46} - 76 q^{50} - 28 q^{51} + 64 q^{53} - 52 q^{56} - 112 q^{57} - 44 q^{58} - 40 q^{60} + 24 q^{63} + 20 q^{65} - 4 q^{67} + 18 q^{70} - 64 q^{71} - 20 q^{72} + 26 q^{77} + 76 q^{78} - 64 q^{81} - 4 q^{85} + 80 q^{86} - 60 q^{88} - 16 q^{91} - 68 q^{92} + 88 q^{93} + 40 q^{95} - 120 q^{98}+O(q^{100}) \) 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8 - 12 * q^11 - 20 * q^15 + 56 * q^16 - 8 * q^18 + 12 * q^22 - 12 * q^23 - 4 * q^25 - 32 * q^28 - 56 * q^30 + 48 * q^32 - 8 * q^35 - 80 * q^36 - 16 * q^37 + 38 * q^42 - 4 * q^43 - 80 * q^46 - 76 * q^50 - 28 * q^51 + 64 * q^53 - 52 * q^56 - 112 * q^57 - 44 * q^58 - 40 * q^60 + 24 * q^63 + 20 * q^65 - 4 * q^67 + 18 * q^70 - 64 * q^71 - 20 * q^72 + 26 * q^77 + 76 * q^78 - 64 * q^81 - 4 * q^85 + 80 * q^86 - 60 * q^88 - 16 * q^91 - 68 * q^92 + 88 * q^93 + 40 * q^95 - 120 * q^98

Introduction

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