LMFDB - Embedded newform 336.2.bu.a.11.28

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(11,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 3, 6, 8]))

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

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

chi := DirichletCharacter("336.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.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:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$60$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			11.28
Character	$\chi$	$=$	336.11
Dual form			336.2.bu.a.275.28

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.115958 + 1.40945i) q^{2} +(-0.232468 + 1.71638i) q^{3} +(-1.97311 - 0.326874i) q^{4} +(1.63250 + 0.437428i) q^{5} +(-2.39220 - 0.526679i) q^{6} +(-2.40950 - 1.09285i) q^{7} +(0.689510 - 2.74310i) q^{8} +(-2.89192 - 0.798005i) q^{9} +O(q^{10})$	\(q+(-0.115958 + 1.40945i) q^{2} +(-0.232468 + 1.71638i) q^{3} +(-1.97311 - 0.326874i) q^{4} +(1.63250 + 0.437428i) q^{5} +(-2.39220 - 0.526679i) q^{6} +(-2.40950 - 1.09285i) q^{7} +(0.689510 - 2.74310i) q^{8} +(-2.89192 - 0.798005i) q^{9} +(-0.805835 + 2.25021i) q^{10} +(-6.21249 + 1.66463i) q^{11} +(1.01972 - 3.31061i) q^{12} +(-2.42703 + 2.42703i) q^{13} +(1.81972 - 3.26935i) q^{14} +(-1.13030 + 2.70031i) q^{15} +(3.78631 + 1.28992i) q^{16} +(2.85114 + 1.64611i) q^{17} +(1.46009 - 3.98348i) q^{18} +(-0.891512 + 3.32717i) q^{19} +(-3.07812 - 1.39671i) q^{20} +(2.43588 - 3.88156i) q^{21} +(-1.62583 - 8.94923i) q^{22} +(3.22863 - 1.86405i) q^{23} +(4.54791 + 1.82114i) q^{24} +(-1.85641 - 1.07180i) q^{25} +(-3.13935 - 3.70221i) q^{26} +(2.04196 - 4.77812i) q^{27} +(4.39697 + 2.94391i) q^{28} +(4.72817 + 4.72817i) q^{29} +(-3.67488 - 1.90622i) q^{30} +(-2.02970 - 1.17185i) q^{31} +(-2.25713 + 5.18704i) q^{32} +(-1.41294 - 11.0500i) q^{33} +(-2.65072 + 3.82766i) q^{34} +(-3.45547 - 2.83806i) q^{35} +(5.44522 + 2.51984i) q^{36} +(-1.54934 + 5.78220i) q^{37} +(-4.58610 - 1.64235i) q^{38} +(-3.60150 - 4.72991i) q^{39} +(2.32553 - 4.17650i) q^{40} +6.10892 q^{41} +(5.18841 + 3.88335i) q^{42} +(-2.39832 + 2.39832i) q^{43} +(12.8020 - 1.25380i) q^{44} +(-4.37199 - 2.56775i) q^{45} +(2.25290 + 4.76674i) q^{46} +(3.27060 + 5.66485i) q^{47} +(-3.09418 + 6.19888i) q^{48} +(4.61136 + 5.26644i) q^{49} +(1.72591 - 2.49223i) q^{50} +(-3.48814 + 4.51097i) q^{51} +(5.58212 - 3.99546i) q^{52} +(-0.473009 - 1.76529i) q^{53} +(6.49775 + 3.43210i) q^{54} -10.8701 q^{55} +(-4.65917 + 5.85595i) q^{56} +(-5.50344 - 2.30363i) q^{57} +(-7.21239 + 6.11586i) q^{58} +(-0.635138 + 0.170185i) q^{59} +(3.11285 - 4.95853i) q^{60} +(1.90843 + 0.511363i) q^{61} +(1.88702 - 2.72488i) q^{62} +(6.09597 + 5.08322i) q^{63} +(-7.04915 - 3.78279i) q^{64} +(-5.02378 + 2.90048i) q^{65} +(15.7382 - 0.710136i) q^{66} +(5.05734 - 1.35511i) q^{67} +(-5.08753 - 4.17991i) q^{68} +(2.44886 + 5.97488i) q^{69} +(4.40080 - 4.54122i) q^{70} +14.8232i q^{71} +(-4.18301 + 7.38257i) q^{72} +(-13.6841 - 7.90050i) q^{73} +(-7.97008 - 2.85421i) q^{74} +(2.27116 - 2.93714i) q^{75} +(2.84661 - 6.27345i) q^{76} +(16.7882 + 2.77839i) q^{77} +(7.08420 - 4.52767i) q^{78} +(0.449587 - 0.259569i) q^{79} +(5.61691 + 3.76202i) q^{80} +(7.72638 + 4.61553i) q^{81} +(-0.708378 + 8.61023i) q^{82} +(0.0464000 - 0.0464000i) q^{83} +(-6.07503 + 6.86251i) q^{84} +(3.93444 + 3.93444i) q^{85} +(-3.10222 - 3.65843i) q^{86} +(-9.21448 + 7.01619i) q^{87} +(0.282667 + 18.1892i) q^{88} +(-7.52339 - 13.0309i) q^{89} +(4.12609 - 5.86436i) q^{90} +(8.50030 - 3.19554i) q^{91} +(-6.97973 + 2.62261i) q^{92} +(2.48317 - 3.21131i) q^{93} +(-8.36358 + 3.95287i) q^{94} +(-2.91079 + 5.04164i) q^{95} +(-8.37822 - 5.07990i) q^{96} -9.39545 q^{97} +(-7.95751 + 5.88880i) q^{98} +(19.2944 + 0.143621i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.115958	+	1.40945i	−0.0819946	+	0.996633i
$2$	−0.115958	+	1.40945i	−0.0819946	+	0.996633i
$3$	−0.232468	+	1.71638i	−0.134215	+	0.990952i
$3$	−0.232468	+	1.71638i	−0.134215	+	0.990952i
$4$	−1.97311	−	0.326874i	−0.986554	−	0.163437i
$5$	1.63250	+	0.437428i	0.730077	+	0.195624i	0.604664	−	0.796481i	$-0.293308\pi$
$5$	1.63250	+	0.437428i	0.730077	+	0.195624i	0.125414	+	0.992105i	$0.459974\pi$
$6$	−2.39220	−	0.526679i	−0.976611	−	0.215016i
$7$	−2.40950	−	1.09285i	−0.910705	−	0.413058i
$7$	−2.40950	−	1.09285i	−0.910705	−	0.413058i
$8$	0.689510	−	2.74310i	0.243779	−	0.969831i
$9$	−2.89192	−	0.798005i	−0.963973	−	0.266002i
$10$	−0.805835	+	2.25021i	−0.254827	+	0.711579i
$11$	−6.21249	+	1.66463i	−1.87314	+	0.501905i	−0.873243	+	0.487285i	$0.837987\pi$
$11$	−6.21249	+	1.66463i	−1.87314	+	0.501905i	−0.999893	+	0.0146201i	$0.995346\pi$
$12$	1.01972	−	3.31061i	0.294369	−	0.955692i
$13$	−2.42703	+	2.42703i	−0.673137	+	0.673137i	−0.958438	−	0.285301i	$-0.907906\pi$
$13$	−2.42703	+	2.42703i	−0.673137	+	0.673137i	0.285301	+	0.958438i	$0.407906\pi$
$14$	1.81972	−	3.26935i	0.486340	−	0.873769i
$15$	−1.13030	+	2.70031i	−0.291841	+	0.697216i
$16$	3.78631	+	1.28992i	0.946577	+	0.322479i
$17$	2.85114	+	1.64611i	0.691503	+	0.399239i	0.804175	−	0.594393i	$-0.202608\pi$
$17$	2.85114	+	1.64611i	0.691503	+	0.399239i	−0.112672	+	0.993632i	$0.535941\pi$
$18$	1.46009	−	3.98348i	0.344147	−	0.938916i
$19$	−0.891512	+	3.32717i	−0.204527	+	0.763305i	0.785066	+	0.619412i	$0.212629\pi$
$19$	−0.891512	+	3.32717i	−0.204527	+	0.763305i	−0.989593	+	0.143893i	$0.954038\pi$
$20$	−3.07812	−	1.39671i	−0.688288	−	0.312315i
$21$	2.43588	−	3.88156i	0.531552	−	0.847026i
$22$	−1.62583	−	8.94923i	−0.346628	−	1.90798i
$23$	3.22863	−	1.86405i	0.673215	−	0.388681i	−0.124079	−	0.992272i	$-0.539598\pi$
$23$	3.22863	−	1.86405i	0.673215	−	0.388681i	0.797294	+	0.603592i	$0.206264\pi$
$24$	4.54791	+	1.82114i	0.928337	+	0.371739i
$25$	−1.85641	−	1.07180i	−0.371281	−	0.214359i
$26$	−3.13935	−	3.70221i	−0.615676	−	0.726064i
$27$	2.04196	−	4.77812i	0.392975	−	0.919549i
$28$	4.39697	+	2.94391i	0.830950	+	0.556347i
$29$	4.72817	+	4.72817i	0.877999	+	0.877999i	0.993327	−	0.115329i	$-0.0367921\pi$
$29$	4.72817	+	4.72817i	0.877999	+	0.877999i	−0.115329	+	0.993327i	$0.536792\pi$
$30$	−3.67488	−	1.90622i	−0.670939	−	0.348026i
$31$	−2.02970	−	1.17185i	−0.364544	−	0.210470i	0.306528	−	0.951862i	$-0.400833\pi$
$31$	−2.02970	−	1.17185i	−0.364544	−	0.210470i	−0.671072	+	0.741392i	$0.734166\pi$
$32$	−2.25713	+	5.18704i	−0.399007	+	0.916948i
$33$	−1.41294	−	11.0500i	−0.245961	−	1.92355i
$34$	−2.65072	+	3.82766i	−0.454594	+	0.656439i
$35$	−3.45547	−	2.83806i	−0.584081	−	0.479720i
$36$	5.44522	+	2.51984i	0.907536	+	0.419974i
$37$	−1.54934	+	5.78220i	−0.254709	+	0.950588i	0.713542	+	0.700612i	$0.247090\pi$
$37$	−1.54934	+	5.78220i	−0.254709	+	0.950588i	−0.968252	+	0.249977i	$0.919577\pi$
$38$	−4.58610	−	1.64235i	−0.743964	−	0.266425i
$39$	−3.60150	−	4.72991i	−0.576701	−	0.757391i
$40$	2.32553	−	4.17650i	0.367699	−	0.660363i
$41$	6.10892			0.954053			0.477027	−	0.878889i	$-0.341715\pi$
$41$	6.10892			0.954053			0.477027	+	0.878889i	$0.341715\pi$
$42$	5.18841	+	3.88335i	0.800589	+	0.599213i
$43$	−2.39832	+	2.39832i	−0.365741	+	0.365741i	−0.865921	−	0.500180i	$-0.833267\pi$
$43$	−2.39832	+	2.39832i	−0.365741	+	0.365741i	0.500180	+	0.865921i	$0.333267\pi$
$44$	12.8020	−	1.25380i	1.92998	−	0.189017i
$45$	−4.37199	−	2.56775i	−0.651738	−	0.382778i
$46$	2.25290	+	4.76674i	0.332172	+	0.702818i
$47$	3.27060	+	5.66485i	0.477066	+	0.826303i	0.999655	−	0.0262822i	$-0.00836684\pi$
$47$	3.27060	+	5.66485i	0.477066	+	0.826303i	−0.522588	+	0.852585i	$0.675034\pi$
$48$	−3.09418	+	6.19888i	−0.446606	+	0.894731i
$49$	4.61136	+	5.26644i	0.658765	+	0.752348i
$50$	1.72591	−	2.49223i	0.244081	−	0.352455i
$51$	−3.48814	+	4.51097i	−0.488437	+	0.631662i
$52$	5.58212	−	3.99546i	0.774101	−	0.554070i
$53$	−0.473009	−	1.76529i	−0.0649728	−	0.242482i	0.925800	−	0.378013i	$-0.123393\pi$
$53$	−0.473009	−	1.76529i	−0.0649728	−	0.242482i	−0.990773	+	0.135531i	$0.956726\pi$
$54$	6.49775	+	3.43210i	0.884231	+	0.467050i
$55$	−10.8701			−1.46572
$56$	−4.65917	+	5.85595i	−0.622607	+	0.782534i
$57$	−5.50344	−	2.30363i	−0.728948	−	0.305123i
$58$	−7.21239	+	6.11586i	−0.947034	+	0.803051i
$59$	−0.635138	+	0.170185i	−0.0826879	+	0.0221562i	−0.299926	−	0.953963i	$-0.596962\pi$
$59$	−0.635138	+	0.170185i	−0.0826879	+	0.0221562i	0.217238	+	0.976119i	$0.430295\pi$
$60$	3.11285	−	4.95853i	0.401868	−	0.640143i
$61$	1.90843	+	0.511363i	0.244350	+	0.0654734i	0.378915	−	0.925431i	$-0.376297\pi$
$61$	1.90843	+	0.511363i	0.244350	+	0.0654734i	−0.134565	+	0.990905i	$0.542964\pi$
$62$	1.88702	−	2.72488i	0.239652	−	0.346060i
$63$	6.09597	+	5.08322i	0.768020	+	0.640426i
$64$	−7.04915	−	3.78279i	−0.881144	−	0.472848i
$65$	−5.02378	+	2.90048i	−0.623123	+	0.359760i
$66$	15.7382	−	0.710136i	1.93724	−	0.0874118i
$67$	5.05734	−	1.35511i	0.617853	−	0.165553i	0.0637013	−	0.997969i	$-0.479710\pi$
$67$	5.05734	−	1.35511i	0.617853	−	0.165553i	0.554151	+	0.832416i	$0.313043\pi$
$68$	−5.08753	−	4.17991i	−0.616954	−	0.506888i
$69$	2.44886	+	5.97488i	0.294808	+	0.719291i
$70$	4.40080	−	4.54122i	0.525996	−	0.542779i
$71$			14.8232i			1.75919i	0.475727	+	0.879593i	$0.342185\pi$
$71$			14.8232i			1.75919i	−0.475727	+	0.879593i	$0.657815\pi$
$72$	−4.18301	+	7.38257i	−0.492973	+	0.870045i
$73$	−13.6841	−	7.90050i	−1.60160	−	0.924683i	−0.991168	−	0.132614i	$-0.957663\pi$
$73$	−13.6841	−	7.90050i	−1.60160	−	0.924683i	−0.610431	−	0.792070i	$-0.709004\pi$
$74$	−7.97008	−	2.85421i	−0.926503	−	0.331795i
$75$	2.27116	−	2.93714i	0.262251	−	0.339152i
$76$	2.84661	−	6.27345i	0.326529	−	0.719614i
$77$	16.7882	+	2.77839i	1.91319	+	0.316627i
$78$	7.08420	−	4.52767i	0.802127	−	0.512657i
$79$	0.449587	−	0.259569i	0.0505825	−	0.0292038i	−0.474495	−	0.880258i	$-0.657369\pi$
$79$	0.449587	−	0.259569i	0.0505825	−	0.0292038i	0.525078	+	0.851054i	$0.324036\pi$
$80$	5.61691	+	3.76202i	0.627990	+	0.420607i
$81$	7.72638	+	4.61553i	0.858486	+	0.512837i
$82$	−0.708378	+	8.61023i	−0.0782272	+	0.950841i
$83$	0.0464000	−	0.0464000i	0.00509306	−	0.00509306i	−0.704556	−	0.709649i	$-0.748854\pi$
$83$	0.0464000	−	0.0464000i	0.00509306	−	0.00509306i	0.709649	+	0.704556i	$0.248854\pi$
$84$	−6.07503	+	6.86251i	−0.662840	+	0.748761i
$85$	3.93444	+	3.93444i	0.426750	+	0.426750i
$86$	−3.10222	−	3.65843i	−0.334521	−	0.394498i
$87$	−9.21448	+	7.01619i	−0.987896	+	0.752214i
$88$	0.282667	+	18.1892i	0.0301324	+	1.93898i
$89$	−7.52339	−	13.0309i	−0.797477	−	1.38127i	−0.921254	−	0.388961i	$-0.872834\pi$
$89$	−7.52339	−	13.0309i	−0.797477	−	1.38127i	0.123777	−	0.992310i	$-0.460499\pi$
$90$	4.12609	−	5.86436i	0.434928	−	0.618158i
$91$	8.50030	−	3.19554i	0.891073	−	0.334984i
$92$	−6.97973	+	2.62261i	−0.727688	+	0.273426i
$93$	2.48317	−	3.21131i	0.257493	−	0.332998i
$94$	−8.36358	+	3.95287i	−0.862638	+	0.407707i
$95$	−2.91079	+	5.04164i	−0.298641	+	0.517261i
$96$	−8.37822	−	5.07990i	−0.855099	−	0.518465i
$97$	−9.39545			−0.953963			−0.476982	−	0.878913i	$-0.658269\pi$
$97$	−9.39545			−0.953963			−0.476982	+	0.878913i	$0.658269\pi$
$98$	−7.95751	+	5.88880i	−0.803830	+	0.594859i
$99$	19.2944	+	0.143621i	1.93916	+	0.0144345i
$100$	3.31255	+	2.72158i	0.331255	+	0.272158i
$101$	2.12498	+	7.93055i	0.211444	+	0.789119i	0.987388	+	0.158318i	$0.0506070\pi$
$101$	2.12498	+	7.93055i	0.211444	+	0.789119i	−0.775945	+	0.630801i	$0.782726\pi$
$102$	−5.95352	−	5.43945i	−0.589486	−	0.538585i
$103$	−3.99584	−	6.92100i	−0.393722	−	0.681947i	0.599215	−	0.800588i	$-0.295479\pi$
$103$	−3.99584	−	6.92100i	−0.393722	−	0.681947i	−0.992937	+	0.118641i	$0.962146\pi$
$104$	4.98411	+	8.33103i	0.488732	+	0.816925i
$105$	5.67447	−	5.27114i	0.553772	−	0.514410i
$106$	2.54295	−	0.461984i	0.246993	−	0.0448718i
$107$	−1.80227	+	6.72615i	−0.174232	+	0.650241i	0.822450	+	0.568838i	$0.192607\pi$
$107$	−1.80227	+	6.72615i	−0.174232	+	0.650241i	−0.996681	+	0.0814032i	$0.974060\pi$
$108$	−5.59084	+	8.76028i	−0.537979	+	0.842958i
$109$	−0.763075	−	2.84783i	−0.0730893	−	0.272773i	0.919704	−	0.392613i	$-0.128429\pi$
$109$	−0.763075	−	2.84783i	−0.0730893	−	0.272773i	−0.992793	+	0.119840i	$0.961762\pi$
$110$	1.26047	−	15.3208i	0.120181	−	1.46078i
$111$	−9.56429	−	4.00343i	−0.907802	−	0.379988i
$112$	−7.71341	−	7.24591i	−0.728849	−	0.684674i
$113$			2.56393i			0.241194i	0.992702	+	0.120597i	$0.0384809\pi$
$113$			2.56393i			0.241194i	−0.992702	+	0.120597i	$0.961519\pi$
$114$	3.88502	−	7.48970i	0.363866	−	0.701475i
$115$	6.08613	−	1.63077i	0.567534	−	0.152070i
$116$	−7.78367	−	10.8747i	−0.722696	−	1.00969i
$117$	8.95555	−	5.08199i	0.827941	−	0.469830i
$118$	−0.166218	−	0.914930i	−0.0153016	−	0.0842262i
$119$	−5.07086	−	7.08215i	−0.464845	−	0.649220i
$120$	6.62785	+	4.96240i	0.605037	+	0.453003i
$121$	26.2977	−	15.1830i	2.39070	−	1.38027i
$122$	−0.942040	+	2.63055i	−0.0852883	+	0.238159i
$123$	−1.42013	+	10.4852i	−0.128048	+	0.945421i
$124$	3.62177	+	2.97563i	0.325244	+	0.267220i
$125$	−8.53713	−	8.53713i	−0.763584	−	0.763584i
$126$	−7.87143	+	8.00253i	−0.701243	+	0.712922i
$127$			15.0456i			1.33508i	0.744573	+	0.667541i	$0.232653\pi$
$127$			15.0456i			1.33508i	−0.744573	+	0.667541i	$0.767347\pi$
$128$	6.14906	−	9.49679i	0.543505	−	0.839406i
$129$	−3.55890	−	4.67397i	−0.313344	−	0.411520i
$130$	−3.50554	−	7.41711i	−0.307456	−	0.650523i
$131$	7.94631	+	2.12921i	0.694272	+	0.186030i	0.588664	−	0.808378i	$-0.299654\pi$
$131$	7.94631	+	2.12921i	0.694272	+	0.186030i	0.105608	+	0.994408i	$0.466321\pi$
$132$	−0.824069	+	22.2646i	−0.0717260	+	1.93789i
$133$	5.78419	−	7.04251i	0.501553	−	0.610663i
$134$	1.32352	+	7.28521i	0.114335	+	0.629347i
$135$	5.42358	−	6.90708i	0.466787	−	0.594467i
$136$	6.48131	−	6.68594i	0.555768	−	0.573315i
$137$	−0.138825	+	0.240451i	−0.0118606	+	0.0205431i	−0.871895	−	0.489693i	$-0.837109\pi$
$137$	−0.138825	+	0.240451i	−0.0118606	+	0.0205431i	0.860034	+	0.510236i	$0.170442\pi$
$138$	−8.70527	+	2.75872i	−0.741041	+	0.234838i
$139$	15.5890	−	15.5890i	1.32224	−	1.32224i	0.410285	−	0.911957i	$-0.365429\pi$
$139$	15.5890	−	15.5890i	1.32224	−	1.32224i	0.911957	−	0.410285i	$-0.134571\pi$
$140$	5.89032	+	6.72930i	0.497823	+	0.568730i
$141$	−10.4833	+	4.29670i	−0.882856	+	0.361847i
$142$	−20.8925	−	1.71886i	−1.75326	−	0.144244i
$143$	11.0378	−	19.1180i	0.923026	−	1.59873i
$144$	−9.92033	−	6.75182i	−0.826694	−	0.562652i
$145$	5.65051	+	9.78698i	0.469250	+	0.812764i
$146$	12.7221	−	18.3709i	1.05289	−	1.52039i
$147$	−10.1112	+	6.69056i	−0.833958	+	0.551828i
$148$	4.94706	−	10.9025i	0.406646	−	0.896178i
$149$	1.79360	+	0.480593i	0.146937	+	0.0393717i	0.331538	−	0.943442i	$-0.392433\pi$
$149$	1.79360	+	0.480593i	0.146937	+	0.0393717i	−0.184601	+	0.982814i	$0.559099\pi$
$150$	3.87640	+	3.54168i	0.316507	+	0.289177i
$151$	−6.93024	+	12.0035i	−0.563975	+	0.976833i	0.433170	+	0.901312i	$0.357395\pi$
$151$	−6.93024	+	12.0035i	−0.563975	+	0.976833i	−0.997144	+	0.0755202i	$0.975938\pi$
$152$	8.51203	+	4.73962i	0.690417	+	0.384434i
$153$	−6.93166	−	7.03562i	−0.560391	−	0.568796i
$154$	−5.86273	+	23.3399i	−0.472432	+	1.88079i
$155$	−2.80089	−	2.80089i	−0.224973	−	0.224973i
$156$	5.56006	+	10.5099i	0.445161	+	0.841462i
$157$	0.442190	+	1.65028i	0.0352906	+	0.131706i	0.981324	−	0.192364i	$-0.0616153\pi$
$157$	0.442190	+	1.65028i	0.0352906	+	0.131706i	−0.946033	+	0.324070i	$0.894949\pi$
$158$	0.313717	+	0.663771i	0.0249580	+	0.0528068i
$159$	3.13987	−	0.401490i	0.249008	−	0.0318402i
$160$	−5.95372	+	7.48053i	−0.470683	+	0.591387i
$161$	−9.81649	+	0.963016i	−0.773648	+	0.0758963i
$162$	−7.40130	+	10.3547i	−0.581501	+	0.813546i
$163$	2.05689	−	7.67642i	0.161108	−	0.601264i	−0.837397	−	0.546596i	$-0.815923\pi$
$163$	2.05689	−	7.67642i	0.161108	−	0.601264i	0.998505	−	0.0546677i	$-0.0174099\pi$
$164$	−12.0536	−	1.99685i	−0.941225	−	0.155928i
$165$	2.52694	−	18.6571i	0.196722	−	1.45246i
$166$	0.0600181	+	0.0707790i	0.00465831	+	0.00549351i
$167$			8.71168i			0.674130i	0.941481	+	0.337065i	$0.109434\pi$
$167$			8.71168i			0.674130i	−0.941481	+	0.337065i	$0.890566\pi$
$168$	−8.96793	−	9.35822i	−0.691891	−	0.722002i
$169$			1.21907i			0.0937743i
$170$	−6.00163	+	5.08917i	−0.460304	+	0.390322i
$171$	5.23328	−	8.91046i	0.400199	−	0.681400i
$172$	5.51610	−	3.94820i	0.420599	−	0.301048i
$173$	0.959695	−	3.58163i	0.0729642	−	0.272306i	−0.919800	−	0.392388i	$-0.871649\pi$
$173$	0.959695	−	3.58163i	0.0729642	−	0.272306i	0.992764	+	0.120082i	$0.0383157\pi$
$174$	−8.82048	−	13.8009i	−0.668679	−	1.04625i
$175$	3.30169	+	4.61127i	0.249585	+	0.348579i
$176$	−25.6696	−	1.71078i	−1.93492	−	0.128955i
$177$	−0.144453	−	1.12970i	−0.0108577	−	0.0849134i
$178$	19.2388	−	9.09281i	1.44201	−	0.681535i
$179$	0.541277	+	2.02007i	0.0404569	+	0.150987i	0.983200	−	0.182534i	$-0.0584299\pi$
$179$	0.541277	+	2.02007i	0.0404569	+	0.150987i	−0.942743	+	0.333521i	$0.891763\pi$
$180$	7.78708	+	6.49554i	0.580415	+	0.484149i
$181$	12.0086	+	12.0086i	0.892593	+	0.892593i	0.994767	−	0.102173i	$-0.0325796\pi$
$181$	12.0086	+	12.0086i	0.892593	+	0.892593i	−0.102173	+	0.994767i	$0.532580\pi$
$182$	3.51828	+	12.3513i	0.260793	+	0.915540i
$183$	−1.32134	+	3.15672i	−0.0976764	+	0.233352i
$184$	−2.88709	−	10.1417i	−0.212839	−	0.747657i
$185$	−5.05859	+	8.76174i	−0.371915	+	0.644176i
$186$	4.23825	+	3.87229i	0.310764	+	0.283930i
$187$	−20.4528	−	5.48032i	−1.49566	−	0.400761i
$188$	−4.60156	−	12.2464i	−0.335603	−	0.893163i
$189$	−10.1419	+	9.28131i	−0.737711	+	0.675116i
$190$	−6.76841	−	4.68724i	−0.491032	−	0.340048i
$191$	−9.40815	−	16.2954i	−0.680750	−	1.17909i	−0.974752	−	0.223289i	$-0.928321\pi$
$191$	−9.40815	−	16.2954i	−0.680750	−	1.17909i	0.294002	−	0.955805i	$-0.405013\pi$
$192$	8.13140	−	11.2196i	0.586833	−	0.809708i
$193$	−1.37634	+	2.38390i	−0.0990713	+	0.171597i	−0.911301	−	0.411742i	$-0.864921\pi$
$193$	−1.37634	+	2.38390i	−0.0990713	+	0.171597i	0.812229	+	0.583338i	$0.198254\pi$
$194$	1.08948	−	13.2424i	0.0782198	−	0.950751i
$195$	−3.81046	−	9.29698i	−0.272873	−	0.665770i
$196$	−7.37724	−	11.8986i	−0.526946	−	0.849899i
$197$	−0.392209	+	0.392209i	−0.0279437	+	0.0279437i	−0.720941	−	0.692997i	$-0.756290\pi$
$197$	−0.392209	+	0.392209i	−0.0279437	+	0.0279437i	0.692997	+	0.720941i	$0.256290\pi$
$198$	−2.43976	+	27.1779i	−0.173386	+	1.93145i
$199$	9.07241	−	15.7139i	0.643126	−	1.11393i	−0.341605	−	0.939844i	$-0.610971\pi$
$199$	9.07241	−	15.7139i	0.643126	−	1.11393i	0.984731	−	0.174083i	$-0.0556962\pi$
$200$	−4.22005	+	4.35329i	−0.298403	+	0.307824i
$201$	1.15022	+	8.99534i	0.0811300	+	0.634482i
$202$	−11.4241	+	2.07545i	−0.803799	+	0.146028i
$203$	−6.22533	−	16.5597i	−0.436933	−	1.16226i
$204$	8.35699	−	7.76045i	0.585106	−	0.543340i
$205$	9.97283	+	2.67221i	0.696533	+	0.186635i
$206$	10.2182	−	4.82940i	0.711933	−	0.336480i
$207$	−10.8244	+	2.81421i	−0.752351	+	0.195601i
$208$	−12.3201	+	6.05881i	−0.854248	+	0.420103i
$209$		−	22.1540i		−	1.53243i
$210$	6.77141	+	8.60913i	0.467272	+	0.594086i
$211$	−12.5281	−	12.5281i	−0.862467	−	0.862467i	0.129157	−	0.991624i	$-0.458773\pi$
$211$	−12.5281	−	12.5281i	−0.862467	−	0.862467i	−0.991624	+	0.129157i	$0.958773\pi$
$212$	0.356269	+	3.63773i	0.0244687	+	0.249840i
$213$	−25.4422	−	3.44590i	−1.74327	−	0.236109i
$214$	−9.27119	−	3.32016i	−0.633766	−	0.226961i
$215$	−4.96436	+	2.86618i	−0.338567	+	0.195472i
$216$	−11.6989	−	8.89585i	−0.796008	−	0.605286i
$217$	3.60990	+	5.04172i	0.245056	+	0.342254i
$218$	4.10237	−	0.745288i	0.277847	−	0.0504773i
$219$	16.7414	−	21.6504i	1.13128	−	1.46300i
$220$	21.4478	+	3.55314i	1.44601	+	0.239553i
$221$	−10.9149	+	2.92465i	−0.734218	+	0.196733i
$222$	6.75169	−	13.0162i	0.453144	−	0.873588i
$223$		−	4.81806i		−	0.322641i	−0.986902	−	0.161321i	$-0.948425\pi$
$223$		−	4.81806i		−	0.322641i	0.986902	−	0.161321i	$-0.0515753\pi$
$224$	11.1072	−	10.0315i	0.742131	−	0.670255i
$225$	4.51328	+	4.58097i	0.300885	+	0.305398i
$226$	−3.61373	−	0.297308i	−0.240382	−	0.0197766i
$227$	0.885069	+	3.30312i	0.0587441	+	0.219236i	0.989058	−	0.147529i	$-0.0471320\pi$
$227$	0.885069	+	3.30312i	0.0587441	+	0.219236i	−0.930314	+	0.366765i	$0.880465\pi$
$228$	10.1059	+	6.34424i	0.669278	+	0.420158i
$229$	−5.26171	+	19.6370i	−0.347704	+	1.29765i	0.541718	+	0.840560i	$0.317774\pi$
$229$	−5.26171	+	19.6370i	−0.347704	+	1.29765i	−0.889422	+	0.457088i	$0.848893\pi$
$230$	1.59276	+	8.76720i	0.105024	+	0.578092i
$231$	−8.67148	+	28.1690i	−0.570542	+	1.85338i
$232$	16.2299	−	9.70970i	1.06555	−	0.637473i
$233$	4.83181	+	8.36894i	0.316542	+	0.548267i	0.979764	−	0.200156i	$-0.0641448\pi$
$233$	4.83181	+	8.36894i	0.316542	+	0.548267i	−0.663222	+	0.748423i	$0.730811\pi$
$234$	6.12435	+	13.2117i	0.400361	+	0.863676i
$235$	2.86130	+	10.6785i	0.186651	+	0.696590i
$236$	1.30882	−	0.128183i	0.0851972	−	0.00834398i
$237$	0.341005	+	0.832004i	0.0221507	+	0.0540445i
$238$	10.5700	−	6.32591i	0.685149	−	0.410048i
$239$	28.3989			1.83697			0.918486	−	0.395452i	$-0.129412\pi$
$239$	28.3989			1.83697			0.918486	+	0.395452i	$0.129412\pi$
$240$	−7.76281	+	8.76620i	−0.501087	+	0.565856i
$241$	0.875475	−	1.51637i	0.0563943	−	0.0976778i	−0.836450	−	0.548043i	$-0.815373\pi$
$241$	0.875475	−	1.51637i	0.0563943	−	0.0976778i	0.892844	+	0.450365i	$0.148706\pi$
$242$	18.3503	+	38.8260i	1.17960	+	2.49583i
$243$	−9.71813	+	12.1884i	−0.623419	+	0.781888i
$244$	−3.59839	−	1.63279i	−0.230364	−	0.104529i
$245$	5.22437	+	10.6146i	0.333773	+	0.678142i
$246$	−14.6137	−	3.21744i	−0.931738	−	0.205137i
$247$	−5.91141	−	10.2389i	−0.376134	−	0.651483i
$248$	−4.61398	+	4.75965i	−0.292988	+	0.302238i
$249$	0.0688535	+	0.0904265i	0.00436341	+	0.00573054i
$250$	13.0226	−	11.0427i	0.823622	−	0.698403i
$251$	5.79277	+	5.79277i	0.365637	+	0.365637i	0.865883	−	0.500246i	$-0.166757\pi$
$251$	5.79277	+	5.79277i	0.365637	+	0.365637i	−0.500246	+	0.865883i	$0.666757\pi$
$252$	−10.3664	−	12.0224i	−0.653024	−	0.757338i
$253$	−16.9549	+	16.9549i	−1.06594	+	1.06594i
$254$	−21.2061	−	1.74466i	−1.33059	−	0.109469i
$255$	−7.66762	+	5.83836i	−0.480165	+	0.365612i
$256$	12.6722	+	9.76803i	0.792015	+	0.610502i
$257$	−6.38601	+	3.68697i	−0.398348	+	0.229987i	−0.685771	−	0.727817i	$-0.740535\pi$
$257$	−6.38601	+	3.68697i	−0.398348	+	0.229987i	0.287423	+	0.957804i	$0.407202\pi$
$258$	7.00041	−	4.47412i	0.435827	−	0.278546i
$259$	10.0522	−	12.2390i	0.624614	−	0.760495i
$260$	10.8605	−	4.08082i	0.673543	−	0.253081i
$261$	−9.90037	−	17.4466i	−0.612818	−	1.07992i
$262$	−3.92245	+	10.9530i	−0.242330	+	0.676681i
$263$	10.3096	+	5.95227i	0.635719	+	0.367033i	0.782964	−	0.622067i	$-0.213707\pi$
$263$	10.3096	+	5.95227i	0.635719	+	0.367033i	−0.147244	+	0.989100i	$0.547040\pi$
$264$	−31.2853	−	3.74324i	−1.92548	−	0.230381i
$265$		−	3.08875i		−	0.189741i
$266$	9.25536	+	8.96917i	0.567483	+	0.549935i
$267$	24.1149	−	9.88373i	1.47581	−	0.604874i
$268$	−10.4216	+	1.02067i	−0.636602	+	0.0623471i
$269$	2.24544	−	0.601665i	0.136907	−	0.0366841i	−0.189715	−	0.981839i	$-0.560756\pi$
$269$	2.24544	−	0.601665i	0.136907	−	0.0366841i	0.326622	+	0.945155i	$0.394090\pi$
$270$	9.10629	+	8.44520i	0.554191	+	0.513959i
$271$	13.7627	−	7.94589i	0.836023	−	0.482678i	−0.0198873	−	0.999802i	$-0.506331\pi$
$271$	13.7627	−	7.94589i	0.836023	−	0.482678i	0.855910	+	0.517124i	$0.172997\pi$
$272$	8.67195	+	9.91039i	0.525814	+	0.600905i
$273$	3.50872	+	15.3326i	0.212357	+	0.927971i
$274$	−0.322807	−	0.223549i	−0.0195015	−	0.0135051i
$275$	13.3171	+	3.56829i	0.803048	+	0.215176i
$276$	−2.87884	−	12.5895i	−0.173286	−	0.757802i
$277$	−8.74822	+	2.34408i	−0.525630	+	0.140842i	−0.511869	−	0.859063i	$-0.671047\pi$
$277$	−8.74822	+	2.34408i	−0.525630	+	0.140842i	−0.0137603	+	0.999905i	$0.504380\pi$
$278$	20.1643	+	23.7796i	1.20937	+	1.42621i
$279$	4.93458	+	5.00859i	0.295425	+	0.299857i
$280$	−10.1677	+	7.52181i	−0.607634	+	0.449514i
$281$	18.5073			1.10405			0.552027	−	0.833826i	$-0.313854\pi$
$281$	18.5073			1.10405			0.552027	+	0.833826i	$0.313854\pi$
$282$	−4.84037	−	15.2740i	−0.288240	−	0.909553i
$283$	−3.82309	−	14.2680i	−0.227259	−	0.848143i	−0.981487	−	0.191530i	$-0.938655\pi$
$283$	−3.82309	−	14.2680i	−0.227259	−	0.848143i	0.754228	−	0.656613i	$-0.228012\pi$
$284$	4.84531	−	29.2477i	0.287516	−	1.73553i
$285$	−7.97670	−	6.16804i	−0.472499	−	0.365363i
$286$	25.6660	+	17.7741i	1.51766	+	1.05100i
$287$	−14.7194	−	6.67613i	−0.868861	−	0.394080i
$288$	10.6667	−	13.1993i	0.628542	−	0.777776i
$289$	−3.08067	−	5.33588i	−0.181216	−	0.313876i
$290$	−14.4495	+	6.82925i	−0.848503	+	0.401027i
$291$	2.18414	−	16.1262i	0.128036	−	0.945332i
$292$	24.4177	+	20.0615i	1.42894	+	1.17401i
$293$	−4.97093	+	4.97093i	−0.290405	+	0.290405i	−0.837240	−	0.546835i	$-0.815832\pi$
$293$	−4.97093	+	4.97093i	−0.290405	+	0.290405i	0.546835	+	0.837240i	$0.315832\pi$
$294$	−8.25755	−	15.0271i	−0.481590	−	0.876396i
$295$	−1.11131			−0.0647028
$296$	14.7929	+	8.23687i	0.859817	+	0.478758i
$297$	−4.73183	+	33.0831i	−0.274569	+	1.91968i
$298$	−0.885354	+	2.47226i	−0.0512872	+	0.143214i
$299$	−3.31187	+	12.3601i	−0.191530	+	0.714801i
$300$	−5.44133	+	5.05291i	−0.314155	+	0.291730i
$301$	8.39977	−	3.15775i	0.484154	−	0.182010i
$302$	−16.1148	−	11.1597i	−0.927301	−	0.642171i
$303$	−14.1058	+	1.80368i	−0.810358	+	0.103619i
$304$	−7.66730	+	11.4477i	−0.439750	+	0.656571i
$305$	2.89184	+	1.66960i	0.165586	+	0.0956012i
$306$	10.7202	−	8.95400i	0.612830	−	0.511866i
$307$	17.0125	+	17.0125i	0.970953	+	0.970953i	0.999590	−	0.0286373i	$-0.00911677\pi$
$307$	17.0125	+	17.0125i	0.970953	+	0.970953i	−0.0286373	+	0.999590i	$0.509117\pi$
$308$	−32.2167	−	10.9697i	−1.83572	−	0.625056i
$309$	12.8080	−	5.24947i	0.728620	−	0.298632i
$310$	4.27250	−	3.62293i	0.242662	−	0.205769i
$311$	27.2812	+	15.7508i	1.54698	+	0.893147i	0.998370	+	0.0570663i	$0.0181746\pi$
$311$	27.2812	+	15.7508i	1.54698	+	0.893147i	0.548606	+	0.836081i	$0.315159\pi$
$312$	−15.4579	+	6.61793i	−0.875129	+	0.374667i
$313$	−21.1008	+	12.1825i	−1.19269	+	0.688597i	−0.958915	−	0.283695i	$-0.908440\pi$
$313$	−21.1008	+	12.1825i	−1.19269	+	0.688597i	−0.233771	+	0.972292i	$0.575106\pi$
$314$	−2.37726	+	0.431883i	−0.134156	+	0.0243726i
$315$	7.72814	+	10.9649i	0.435431	+	0.617803i
$316$	−0.971931	+	0.365200i	−0.0546754	+	0.0205441i
$317$	−8.22197	+	30.6848i	−0.461792	+	1.72343i	0.205522	+	0.978653i	$0.434111\pi$
$317$	−8.22197	+	30.6848i	−0.461792	+	1.72343i	−0.667313	+	0.744777i	$0.732556\pi$
$318$	0.201787	+	4.47206i	0.0113157	+	0.250780i
$319$	−37.2444	−	21.5030i	−2.08528	−	1.20394i
$320$	−9.85306	−	9.25890i	−0.550803	−	0.517588i
$321$	−11.1257	−	4.65698i	−0.620973	−	0.259927i
$322$	−0.219025	−	13.9475i	−0.0122058	−	0.777266i
$323$	−8.01869	+	8.01869i	−0.446172	+	0.446172i
$324$	−13.7363	−	11.6325i	−0.763126	−	0.646249i
$325$	7.10683	−	1.90427i	0.394216	−	0.105630i
$326$	10.5810	+	3.78923i	0.586029	+	0.209866i
$327$	5.06535	−	0.647697i	0.280115	−	0.0358177i
$328$	4.21217	−	16.7574i	0.232578	−	0.925270i
$329$	−1.68968	−	17.2237i	−0.0931550	−	0.949574i
$330$	26.0033	+	5.72504i	1.43144	+	0.315153i
$331$	−13.5271	−	3.62459i	−0.743519	−	0.199225i	−0.132878	−	0.991132i	$-0.542422\pi$
$331$	−13.5271	−	3.62459i	−0.743519	−	0.199225i	−0.610642	+	0.791907i	$0.709088\pi$
$332$	−0.106719	+	0.0763852i	−0.00585697	+	0.00419218i
$333$	9.09478	−	15.4853i	0.498391	−	0.848588i
$334$	−12.2787	−	1.01019i	−0.671860	−	0.0552750i
$335$	8.84889			0.483466
$336$	14.2299	−	11.5547i	0.776302	−	0.630361i
$337$	16.5325			0.900582			0.450291	−	0.892882i	$-0.351320\pi$
$337$	16.5325			0.900582			0.450291	+	0.892882i	$0.351320\pi$
$338$	−1.71821	−	0.141360i	−0.0934585	−	0.00768898i
$339$	−4.40067	−	0.596030i	−0.239012	−	0.0323719i
$340$	−6.47700	−	9.04913i	−0.351265	−	0.490758i
$341$	14.5602	+	3.90138i	0.788477	+	0.211272i
$342$	11.9520	+	8.40929i	0.646292	+	0.454722i
$343$	−5.35563	−	17.7290i	−0.289177	−	0.957276i
$344$	4.92516	+	8.23250i	0.265547	+	0.443867i
$345$	1.38420	+	10.8252i	0.0745227	+	0.582809i
$346$	4.93685	+	1.76796i	0.265407	+	0.0950462i
$347$	−22.6171	+	6.06025i	−1.21415	+	0.325331i	−0.808390	−	0.588648i	$-0.799661\pi$
$347$	−22.6171	+	6.06025i	−1.21415	+	0.325331i	−0.405762	+	0.913979i	$0.632994\pi$
$348$	20.4746	−	10.8317i	1.09755	−	0.580641i
$349$	7.14576	−	7.14576i	0.382504	−	0.382504i	−0.489500	−	0.872004i	$-0.662821\pi$
$349$	7.14576	−	7.14576i	0.382504	−	0.382504i	0.872004	+	0.489500i	$0.162821\pi$
$350$	−6.88221	+	4.11887i	−0.367870	+	0.220163i
$351$	6.64074	+	16.5525i	0.354457	+	0.883508i
$352$	5.38786	−	35.9817i	0.287174	−	1.91783i
$353$	−22.7868	−	13.1560i	−1.21282	−	0.700223i	−0.249448	−	0.968388i	$-0.580249\pi$
$353$	−22.7868	−	13.1560i	−1.21282	−	0.700223i	−0.963373	+	0.268166i	$0.913583\pi$
$354$	1.60901	−	0.0726013i	0.0855178	−	0.00385871i
$355$	−6.48406	+	24.1988i	−0.344138	+	1.28434i
$356$	10.5850	+	28.1705i	0.561003	+	1.49304i
$357$	13.3345	−	7.05716i	0.705735	−	0.373504i
$358$	−2.90996	+	0.528660i	−0.153796	+	0.0279406i
$359$	−2.48284	+	1.43347i	−0.131039	+	0.0756555i	−0.564087	−	0.825716i	$-0.690772\pi$
$359$	−2.48284	+	1.43347i	−0.131039	+	0.0756555i	0.433047	+	0.901371i	$0.357438\pi$
$360$	−10.0581	+	10.2223i	−0.530109	+	0.538763i
$361$	6.17923	+	3.56758i	0.325223	+	0.187767i
$362$	−18.3181	+	15.5331i	−0.962776	+	0.816400i
$363$	19.9464	+	48.6665i	1.04692	+	2.55433i
$364$	−17.8165	+	3.52662i	−0.933840	+	0.184845i
$365$	−18.8834	−	18.8834i	−0.988401	−	0.988401i
$366$	−4.29603	−	2.22841i	−0.224557	−	0.116481i
$367$	9.37058	+	5.41011i	0.489140	+	0.282405i	0.724218	−	0.689571i	$-0.242201\pi$
$367$	9.37058	+	5.41011i	0.489140	+	0.282405i	−0.235078	+	0.971977i	$0.575534\pi$
$368$	14.6290	−	2.89320i	0.762591	−	0.150819i
$369$	−17.6665	−	4.87495i	−0.919681	−	0.253780i
$370$	−11.7627	−	8.14583i	−0.611512	−	0.423482i
$371$	−0.789487	+	4.77040i	−0.0409881	+	0.247667i
$372$	−5.94926	+	5.52459i	−0.308455	+	0.286436i
$373$	0.204336	−	0.762594i	0.0105801	−	0.0394856i	−0.960434	−	0.278508i	$-0.910160\pi$
$373$	0.204336	−	0.762594i	0.0105801	−	0.0394856i	0.971014	+	0.239022i	$0.0768269\pi$
$374$	10.0959	−	28.1918i	0.522047	−	1.45776i
$375$	16.6376	−	12.6683i	0.859160	−	0.654191i
$376$	17.7943	−	5.06560i	0.917673	−	0.261238i
$377$	−22.9508			−1.18203
$378$	−11.9055	−	15.3707i	−0.612354	−	0.790583i
$379$	−24.5280	+	24.5280i	−1.25992	+	1.25992i	−0.308785	+	0.951132i	$0.599923\pi$
$379$	−24.5280	+	24.5280i	−1.25992	+	1.25992i	−0.951132	+	0.308785i	$0.900077\pi$
$380$	7.39128	−	8.99623i	0.379165	−	0.461497i
$381$	−25.8240	−	3.49762i	−1.32300	−	0.179188i
$382$	24.0585	−	11.3708i	1.23094	−	0.581778i
$383$	−4.23830	−	7.34095i	−0.216567	−	0.375105i	0.737189	−	0.675686i	$-0.236153\pi$
$383$	−4.23830	−	7.34095i	−0.216567	−	0.375105i	−0.953756	+	0.300581i	$0.902819\pi$
$384$	14.8706	+	12.7618i	0.758864	+	0.651249i
$385$	26.1914	+	11.8793i	1.33484	+	0.605427i
$386$	−3.20039	−	2.21632i	−0.162895	−	0.112808i
$387$	8.84963	−	5.02188i	0.449852	−	0.255277i
$388$	18.5382	+	3.07113i	0.941136	+	0.155913i
$389$	3.05902	+	11.4164i	0.155099	+	0.578836i	0.999097	+	0.0424899i	$0.0135290\pi$
$389$	3.05902	+	11.4164i	0.155099	+	0.578836i	−0.843998	+	0.536346i	$0.819804\pi$
$390$	13.5455	−	4.29260i	0.685903	−	0.217364i
$391$	12.2737			0.620707
$392$	17.6259	−	9.01813i	0.890244	−	0.455484i
$393$	−5.50178	+	13.1439i	−0.277528	+	0.663022i
$394$	−0.507320	−	0.598280i	−0.0255584	−	0.0301409i
$395$	0.847495	−	0.227086i	0.0426421	−	0.0114259i
$396$	−38.0230	−	6.59022i	−1.91073	−	0.331171i
$397$	20.9684	+	5.61847i	1.05237	+	0.281983i	0.743233	−	0.669033i	$-0.233291\pi$
$397$	20.9684	+	5.61847i	1.05237	+	0.281983i	0.309142	+	0.951016i	$0.399958\pi$
$398$	21.0959	+	14.6093i	1.05744	+	0.732296i
$399$	10.7430	+	11.5650i	0.537822	+	0.578975i
$400$	−5.64640	−	6.45276i	−0.282320	−	0.322638i
$401$	−10.8685	+	6.27495i	−0.542749	+	0.313356i	−0.746192	−	0.665731i	$-0.768120\pi$
$401$	−10.8685	+	6.27495i	−0.542749	+	0.313356i	0.203443	+	0.979087i	$0.434787\pi$
$402$	−12.8119	+	0.578094i	−0.638998	+	0.0288327i
$403$	7.77024	−	2.08203i	0.387063	−	0.103713i
$404$	−1.60053	−	16.3424i	−0.0796294	−	0.813066i
$405$	10.5944	+	10.9146i	0.526438	+	0.542351i
$406$	24.0620	−	6.85408i	1.19417	−	0.340162i
$407$		−	38.5010i		−	1.90842i
$408$	9.96891	+	12.6787i	0.493535	+	0.627687i
$409$	5.71911	+	3.30193i	0.282792	+	0.163270i	0.634687	−	0.772770i	$-0.281129\pi$
$409$	5.71911	+	3.30193i	0.282792	+	0.163270i	−0.351895	+	0.936040i	$0.614463\pi$
$410$	−4.92278	+	13.7464i	−0.243119	+	0.678884i
$411$	−0.380433	−	0.294173i	−0.0187654	−	0.0145105i
$412$	5.62193	+	14.9620i	0.276973	+	0.737126i
$413$	1.71635	+	0.284051i	0.0844560	+	0.0139772i
$414$	−2.71132	−	15.5829i	−0.133254	−	0.765856i
$415$	0.0960447	−	0.0554514i	0.00471465	−	0.00272200i
$416$	−7.11099	−	18.0672i	−0.348645	−	0.885817i
$417$	23.1327	+	30.3806i	1.13281	+	1.48774i
$418$	31.2250	+	2.56893i	1.52727	+	0.125651i
$419$	8.62612	−	8.62612i	0.421414	−	0.421414i	−0.464277	−	0.885690i	$-0.653686\pi$
$419$	8.62612	−	8.62612i	0.421414	−	0.421414i	0.885690	+	0.464277i	$0.153686\pi$
$420$	−12.9193	+	8.54568i	−0.630399	+	0.416987i
$421$	−23.3087	−	23.3087i	−1.13600	−	1.13600i	−0.989161	−	0.146838i	$-0.953091\pi$
$421$	−23.3087	−	23.3087i	−1.13600	−	1.13600i	−0.146838	−	0.989161i	$-0.546909\pi$
$422$	19.1104	−	16.2050i	0.930280	−	0.788845i
$423$	−4.93773	−	18.9922i	−0.240081	−	0.923434i
$424$	−5.16852	+	0.0803206i	−0.251005	+	0.00390072i
$425$	−3.52858	−	6.11168i	−0.171161	−	0.296460i
$426$	7.80705	−	35.4599i	0.378253	−	1.71804i
$427$	−4.03952	−	3.31776i	−0.195486	−	0.160558i
$428$	5.75467	−	12.6823i	0.278162	−	0.613022i
$429$	30.2478	+	23.3893i	1.46038	+	1.12925i
$430$	−3.46408	−	7.32939i	−0.167053	−	0.353454i
$431$	5.47538	−	9.48364i	0.263740	−	0.456811i	−0.703493	−	0.710702i	$-0.748377\pi$
$431$	5.47538	−	9.48364i	0.263740	−	0.456811i	0.967233	+	0.253892i	$0.0817106\pi$
$432$	13.8948	−	15.4575i	0.668516	−	0.743698i
$433$	−35.5782			−1.70978			−0.854890	−	0.518809i	$-0.826376\pi$
$433$	−35.5782			−1.70978			−0.854890	+	0.518809i	$0.826376\pi$
$434$	−7.52465	+	4.50335i	−0.361195	+	0.216168i
$435$	−18.1117	+	7.42327i	−0.868391	+	0.355919i
$436$	0.574746	+	5.86851i	0.0275253	+	0.281051i
$437$	3.32364	+	12.4040i	0.158991	+	0.593364i
$438$	28.5740	+	26.1067i	1.36532	+	1.24742i
$439$	12.3363	+	21.3672i	0.588781	+	1.01980i	0.994392	+	0.105753i	$0.0337253\pi$
$439$	12.3363	+	21.3672i	0.588781	+	1.01980i	−0.405611	+	0.914046i	$0.632941\pi$
$440$	−7.49502	+	29.8176i	−0.357311	+	1.42150i
$441$	−9.13302	−	18.9100i	−0.434906	−	0.900476i
$442$	−2.85648	−	15.7232i	−0.135869	−	0.747877i
$443$	4.21775	−	15.7409i	0.200392	−	0.747871i	−0.790413	−	0.612574i	$-0.790134\pi$
$443$	4.21775	−	15.7409i	0.200392	−	0.747871i	0.990805	−	0.135298i	$-0.0431991\pi$
$444$	17.5627	+	11.0255i	0.833491	+	0.523247i
$445$	−6.58187	−	24.5639i	−0.312011	−	1.16444i
$446$	6.79082	+	0.558692i	0.321555	+	0.0264548i
$447$	−1.24183	+	2.96677i	−0.0587366	+	0.140323i
$448$	12.8509	+	16.8183i	0.607148	+	0.794589i
$449$		−	5.15455i		−	0.243258i	−0.992576	−	0.121629i	$-0.961188\pi$
$449$		−	5.15455i		−	0.243258i	0.992576	−	0.121629i	$-0.0388118\pi$
$450$	−6.98000	+	5.83004i	−0.329041	+	0.274831i
$451$	−37.9516	+	10.1691i	−1.78707	+	0.478844i
$452$	0.838081	−	5.05890i	0.0394200	−	0.237951i
$453$	−18.9915	−	14.6853i	−0.892300	−	0.689978i
$454$	−4.75822	+	0.864438i	−0.223314	+	0.0405701i
$455$	15.2746	−	1.49846i	0.716083	−	0.0702491i
$456$	−10.1138	+	13.5081i	−0.473620	+	0.632573i
$457$	−19.4583	+	11.2343i	−0.910222	+	0.525517i	−0.880502	−	0.474042i	$-0.842795\pi$
$457$	−19.4583	+	11.2343i	−0.910222	+	0.525517i	−0.0297192	+	0.999558i	$0.509461\pi$
$458$	−27.0672	−	9.69319i	−1.26477	−	0.452933i
$459$	13.6872	−	10.2618i	0.638863	−	0.478980i
$460$	−12.5416	+	1.22829i	−0.584757	+	0.0572695i
$461$	−15.3701	−	15.3701i	−0.715857	−	0.715857i	0.251897	−	0.967754i	$-0.418946\pi$
$461$	−15.3701	−	15.3701i	−0.715857	−	0.715857i	−0.967754	+	0.251897i	$0.918946\pi$
$462$	−38.6973	−	15.4884i	−1.80036	−	0.720588i
$463$		−	15.8047i		−	0.734506i	−0.930121	−	0.367253i	$-0.880298\pi$
$463$		−	15.8047i		−	0.734506i	0.930121	−	0.367253i	$-0.119702\pi$
$464$	11.8034	+	24.0012i	0.547957	+	1.11423i
$465$	5.45850	−	4.15627i	0.253132	−	0.192742i
$466$	−12.3559	+	5.83976i	−0.572376	+	0.270521i
$467$	−22.9815	−	6.15787i	−1.06346	−	0.284952i	−0.315655	−	0.948874i	$-0.602224\pi$
$467$	−22.9815	−	6.15787i	−1.06346	−	0.284952i	−0.747802	+	0.663922i	$0.768891\pi$
$468$	−19.3314	+	7.09997i	−0.893596	+	0.328196i
$469$	−13.6666	−	2.26178i	−0.631064	−	0.104439i
$470$	−15.3827	+	2.79461i	−0.709549	+	0.128906i
$471$	−2.93529	+	0.375330i	−0.135251	+	0.0172943i
$472$	0.0288987	+	1.85959i	0.00133017	+	0.0855945i
$473$	10.9072	−	18.8919i	0.501515	−	0.868650i
$474$	−1.21221	+	0.384153i	−0.0556787	+	0.0176447i
$475$	5.22106	−	5.22106i	0.239558	−	0.239558i
$476$	7.69039	+	15.6314i	0.352488	+	0.716463i
$477$	−0.0408103	+	5.48255i	−0.00186858	+	0.251029i
$478$	−3.29308	+	40.0269i	−0.150622	+	1.83079i
$479$	−5.31270	+	9.20187i	−0.242744	+	0.420444i	−0.961495	−	0.274823i	$-0.911381\pi$
$479$	−5.31270	+	9.20187i	−0.242744	+	0.420444i	0.718751	+	0.695267i	$0.244714\pi$
$480$	−11.4554	−	11.9578i	−0.522864	−	0.545797i
$481$	−10.2733	−	17.7939i	−0.468422	−	0.811330i
$482$	2.03573	+	1.40977i	0.0927248	+	0.0642134i
$483$	0.629115	−	17.0727i	0.0286257	−	0.776835i
$484$	−56.8512	+	21.3617i	−2.58415	+	0.970985i
$485$	−15.3381	−	4.10983i	−0.696467	−	0.186618i
$486$	−16.0521	−	15.1106i	−0.728139	−	0.685430i
$487$	0.692945	−	1.20022i	0.0314004	−	0.0543870i	−0.849898	−	0.526947i	$-0.823337\pi$
$487$	0.692945	−	1.20022i	0.0314004	−	0.0543870i	0.881299	+	0.472560i	$0.156670\pi$
$488$	2.71860	−	4.88243i	0.123065	−	0.221017i
$489$	12.6975	+	5.31492i	0.574200	+	0.240349i
$490$	−15.5666	+	6.13264i	−0.703227	+	0.277045i
$491$	−1.67815	−	1.67815i	−0.0757338	−	0.0757338i	0.668225	−	0.743959i	$-0.267054\pi$
$491$	−1.67815	−	1.67815i	−0.0757338	−	0.0757338i	−0.743959	+	0.668225i	$0.767054\pi$
$492$	6.22941	−	20.2243i	0.280843	−	0.911781i
$493$	5.69760	+	21.2637i	0.256607	+	0.957670i
$494$	15.1166	−	7.14456i	0.680130	−	0.321449i
$495$	31.4353	+	8.67436i	1.41291	+	0.389884i
$496$	−6.17347	−	7.05511i	−0.277197	−	0.316784i
$497$	16.1995	−	35.7164i	0.726646	−	1.60210i
$498$	−0.135436	+	0.0865600i	−0.00606902	+	0.00387885i
$499$	−3.15494	+	11.7744i	−0.141235	+	0.527095i	0.858660	+	0.512546i	$0.171298\pi$
$499$	−3.15494	+	11.7744i	−0.141235	+	0.527095i	−0.999894	+	0.0145483i	$0.995369\pi$
$500$	14.0541	+	19.6352i	0.628519	+	0.878114i
$501$	−14.9525	−	2.02518i	−0.668031	−	0.0904785i
$502$	−8.83635	+	7.49292i	−0.394386	+	0.334425i
$503$		−	27.8695i		−	1.24264i	−0.783557	−	0.621319i	$-0.786597\pi$
$503$		−	27.8695i		−	1.24264i	0.783557	−	0.621319i	$-0.213403\pi$
$504$	18.1470	−	13.2169i	0.808332	−	0.588727i
$505$			13.8762i			0.617481i
$506$	−21.9310	−	25.8631i	−0.974952	−	1.14975i
$507$	−2.09238	−	0.283393i	−0.0929258	−	0.0125859i
$508$	4.91802	−	29.6866i	0.218202	−	1.31713i
$509$	0.762825	−	2.84690i	0.0338116	−	0.126187i	−0.946957	−	0.321360i	$-0.895860\pi$
$509$	0.762825	−	2.84690i	0.0338116	−	0.126187i	0.980769	+	0.195173i	$0.0625268\pi$
$510$	−7.33976	−	11.4841i	−0.325010	−	0.508526i
$511$	24.3377	+	33.9909i	1.07663	+	1.50367i
$512$	−15.2370	+	16.7282i	−0.673387	+	0.739290i
$513$	14.0772	+	11.0537i	0.621522	+	0.488032i
$514$	−4.45609	−	9.42831i	−0.196550	−	0.415865i
$515$	−3.49578	−	13.0464i	−0.154043	−	0.574895i
$516$	5.49430	+	10.3856i	0.241873	+	0.457199i
$517$	−29.7485	−	29.7485i	−1.30834	−	1.30834i
$518$	16.0847	+	15.5873i	0.706720	+	0.684867i
$519$	5.92434	+	2.47981i	0.260050	+	0.108852i
$520$	4.49235	+	15.7806i	0.197002	+	0.692026i
$521$	3.45374	−	5.98206i	0.151311	−	0.262079i	−0.780399	−	0.625282i	$-0.784984\pi$
$521$	3.45374	−	5.98206i	0.151311	−	0.262079i	0.931710	+	0.363204i	$0.118317\pi$
$522$	25.7381	−	11.9310i	1.12653	−	0.522207i
$523$	1.69130	+	0.453183i	0.0739554	+	0.0198163i	0.295607	−	0.955310i	$-0.404478\pi$
$523$	1.69130	+	0.453183i	0.0739554	+	0.0198163i	−0.221652	+	0.975126i	$0.571145\pi$
$524$	−14.9829	−	6.79859i	−0.654532	−	0.296998i
$525$	−8.68222	+	4.59499i	−0.378923	+	0.200542i
$526$	−9.58492	+	13.8407i	−0.417922	+	0.603484i
$527$	−3.85797	−	6.68219i	−0.168056	−	0.291081i
$528$	8.90370	−	43.6611i	0.387484	−	1.90011i
$529$	−4.55065	+	7.88196i	−0.197854	+	0.342694i
$530$	4.35345	+	0.358165i	0.189102	+	0.0155577i
$531$	1.97257	+	0.0146832i	0.0856024	+	0.000637196i
$532$	−13.7148	+	12.0049i	−0.594614	+	0.520480i
$533$	−14.8265	+	14.8265i	−0.642208	+	0.642208i
$534$	11.1343	+	35.1349i	0.481829	+	1.52043i
$535$	−5.88441	+	10.1921i	−0.254405	+	0.440642i
$536$	−0.230108	−	14.8071i	−0.00993917	−	0.639571i
$537$	−3.59304	+	0.459435i	−0.155051	+	0.0198261i
$538$	0.587640	+	3.23461i	0.0253350	+	0.139454i
$539$	−37.4147	−	25.0415i	−1.61156	−	1.07861i
$540$	−12.9591	+	11.8556i	−0.557669	+	0.510183i
$541$	−1.68239	−	0.450794i	−0.0723314	−	0.0193811i	0.222472	−	0.974939i	$-0.428587\pi$
$541$	−1.68239	−	0.450794i	−0.0723314	−	0.0193811i	−0.294803	+	0.955558i	$0.595254\pi$
$542$	9.60345	+	20.3192i	0.412504	+	0.872785i
$543$	−23.4030	+	17.8197i	−1.00432	+	0.764718i
$544$	−14.9738	+	11.0735i	−0.641996	+	0.474772i
$545$		−	4.98288i		−	0.213443i
$546$	−22.0174	+	3.16743i	−0.942258	+	0.135554i
$547$	−7.04272	−	7.04272i	−0.301125	−	0.301125i	0.540329	−	0.841454i	$-0.318300\pi$
$547$	−7.04272	−	7.04272i	−0.301125	−	0.301125i	−0.841454	+	0.540329i	$0.818300\pi$
$548$	0.352513	−	0.429058i	0.0150586	−	0.0183284i
$549$	−5.11096	−	3.00176i	−0.218131	−	0.128112i
$550$	−6.57355	+	18.3560i	−0.280297	+	0.782701i
$551$	−19.9466	+	11.5162i	−0.849755	+	0.490606i
$552$	18.0782	−	2.59773i	0.769458	−	0.110567i
$553$	−1.36695	+	0.134100i	−0.0581286	+	0.00570253i
$554$	−2.28944	−	12.6020i	−0.0972690	−	0.535408i
$555$	−13.8625	−	10.7193i	−0.588431	−	0.455008i
$556$	−35.8544	+	25.6631i	−1.52057	+	1.08836i
$557$	13.8042	−	3.69881i	0.584901	−	0.156724i	0.0457792	−	0.998952i	$-0.485423\pi$
$557$	13.8042	−	3.69881i	0.584901	−	0.156724i	0.539122	+	0.842228i	$0.318756\pi$
$558$	−7.63157	+	6.37426i	−0.323070	+	0.269844i
$559$		−	11.6416i		−	0.492387i
$560$	−9.42260	−	15.2030i	−0.398178	−	0.642445i
$561$	14.1609	−	33.8308i	0.597875	−	1.42834i
$562$	−2.14607	+	26.0852i	−0.0905265	+	1.10034i
$563$	1.82827	+	6.82319i	0.0770523	+	0.287563i	0.993691	−	0.112154i	$-0.0357750\pi$
$563$	1.82827	+	6.82319i	0.0770523	+	0.287563i	−0.916639	+	0.399717i	$0.869108\pi$
$564$	22.0892	−	5.05112i	0.930125	−	0.212691i
$565$	−1.12153	+	4.18562i	−0.0471832	+	0.176090i
$566$	20.5533	−	3.73398i	0.863921	−	0.156951i
$567$	−13.5726	−	19.5649i	−0.569996	−	0.821648i
$568$	40.6614	+	10.2207i	1.70611	+	0.428852i
$569$	14.1640	+	24.5327i	0.593785	+	1.02847i	0.993717	+	0.111921i	$0.0357002\pi$
$569$	14.1640	+	24.5327i	0.593785	+	1.02847i	−0.399933	+	0.916545i	$0.630966\pi$
$570$	9.61851	−	10.5275i	0.402875	−	0.440950i
$571$	11.0283	+	41.1580i	0.461518	+	1.72241i	0.668182	+	0.743998i	$0.267073\pi$
$571$	11.0283	+	41.1580i	0.461518	+	1.72241i	−0.206664	+	0.978412i	$0.566261\pi$
$572$	−28.0279	+	34.1139i	−1.17191	+	1.42637i
$573$	30.1562	−	12.3598i	1.25979	−	0.516338i
$574$	11.1165	−	19.9722i	0.463995	−	0.833623i
$575$	−7.99152			−0.333270
$576$	17.3669	+	16.5648i	0.723620	+	0.690199i
$577$	11.9460	−	20.6910i	0.497317	−	0.861379i	−0.502678	−	0.864474i	$-0.667652\pi$
$577$	11.9460	−	20.6910i	0.497317	−	0.861379i	0.999995	+	0.00309482i	$0.000985113\pi$
$578$	7.87790	−	3.72332i	0.327677	−	0.154870i
$579$	−3.77172	−	2.91651i	−0.156747	−	0.121206i
$580$	−7.94996	−	21.1578i	−0.330104	−	0.878528i
$581$	−0.162509	+	0.0610924i	−0.00674200	+	0.00253454i
$582$	22.4758	+	4.94839i	0.931651	+	0.205117i
$583$	5.87713	+	10.1795i	0.243406	+	0.421591i
$584$	−31.1071	+	32.0892i	−1.28722	+	1.32786i
$585$	16.8430	−	4.37895i	0.696370	−	0.181047i
$586$	−6.42987	−	7.58270i	−0.265615	−	0.313239i
$587$	21.2802	+	21.2802i	0.878329	+	0.878329i	0.993362	−	0.115032i	$-0.0366972\pi$
$587$	21.2802	+	21.2802i	0.878329	+	0.878329i	−0.115032	+	0.993362i	$0.536697\pi$
$588$	22.1375	−	9.89612i	0.912933	−	0.408109i
$589$	5.70843	−	5.70843i	0.235212	−	0.235212i
$590$	0.128865	−	1.56633i	0.00530528	−	0.0644849i
$591$	−0.582004	−	0.764356i	−0.0239404	−	0.0314414i
$592$	−13.3248	+	19.8947i	−0.547647	+	0.817667i
$593$	−8.80028	+	5.08085i	−0.361384	+	0.208645i	−0.669688	−	0.742643i	$-0.733572\pi$
$593$	−8.80028	+	5.08085i	−0.361384	+	0.208645i	0.308304	+	0.951288i	$0.400239\pi$
$594$	−46.0804	−	10.5055i	−1.89070	−	0.431047i
$595$	−5.18027	−	13.7798i	−0.212370	−	0.564915i
$596$	−3.38186	−	1.53454i	−0.138527	−	0.0628572i
$597$	24.8619	+	19.2247i	1.01753	+	0.786813i
$598$	−17.0369	−	6.10117i	−0.696690	−	0.249495i
$599$	−15.7064	−	9.06812i	−0.641748	−	0.370513i	0.143540	−	0.989645i	$-0.454151\pi$
$599$	−15.7064	−	9.06812i	−0.641748	−	0.370513i	−0.785287	+	0.619131i	$0.787485\pi$
$600$	−6.49087	−	8.25521i	−0.264988	−	0.337018i
$601$			13.6527i			0.556906i	0.960450	+	0.278453i	$0.0898217\pi$
$601$			13.6527i			0.556906i	−0.960450	+	0.278453i	$0.910178\pi$
$602$	3.47667	+	12.2052i	0.141699	+	0.497448i
$603$	−15.7068	−	0.116916i	−0.639630	−	0.00476120i
$604$	17.5977	−	21.4189i	0.716042	−	0.871524i
$605$	49.5726	−	13.2829i	2.01541	−	0.540028i
$606$	−0.906524	−	20.0906i	−0.0368250	−	0.816125i
$607$	20.6821	−	11.9408i	0.839459	−	0.484662i	−0.0176215	−	0.999845i	$-0.505609\pi$
$607$	20.6821	−	11.9408i	0.839459	−	0.484662i	0.857080	+	0.515183i	$0.172276\pi$
$608$	−15.2459	−	12.1341i	−0.618303	−	0.492104i
$609$	29.8699	−	6.83544i	1.21039	−	0.276986i
$610$	−2.68856	+	3.88230i	−0.108856	+	0.157190i
$611$	−21.6866	−	5.81090i	−0.877346	−	0.235084i
$612$	11.3771	+	16.1478i	0.459894	+	0.652737i
$613$	35.9841	−	9.64192i	1.45339	−	0.389433i	0.556185	−	0.831058i	$-0.312264\pi$
$613$	35.9841	−	9.64192i	1.45339	−	0.389433i	0.897200	+	0.441625i	$0.145598\pi$
$614$	−25.9510	+	22.0055i	−1.04730	+	0.888070i
$615$	−6.90489	+	16.4960i	−0.278432	+	0.665181i
$616$	19.1970	−	44.1358i	0.773470	−	1.77828i
$617$	0.260145			0.0104730			0.00523652	−	0.999986i	$-0.498333\pi$
$617$	0.260145			0.0104730			0.00523652	+	0.999986i	$0.498333\pi$
$618$	5.91369	+	18.6609i	0.237884	+	0.750653i
$619$	4.15515	+	15.5072i	0.167009	+	0.623288i	0.997775	+	0.0666657i	$0.0212361\pi$
$619$	4.15515	+	15.5072i	0.167009	+	0.623288i	−0.830766	+	0.556622i	$0.812097\pi$
$620$	4.61092	+	6.44199i	0.185179	+	0.258717i
$621$	−2.31393	−	19.2331i	−0.0928547	−	0.771796i
$622$	−25.3635	+	36.6251i	−1.01698	+	1.46853i
$623$	3.88678	+	39.6198i	0.155720	+	1.58733i
$624$	−7.53519	−	22.5545i	−0.301649	−	0.902903i
$625$	−4.84352	−	8.38922i	−0.193741	−	0.335569i
$626$	−14.7239	−	31.1532i	−0.588485	−	1.24513i
$627$	38.0247	+	5.15009i	1.51856	+	0.205675i
$628$	−0.333056	−	3.40071i	−0.0132904	−	0.135703i
$629$	−13.9355	+	13.9355i	−0.555644	+	0.555644i
$630$	−16.3507	+	9.62097i	−0.651426	+	0.383309i
$631$	29.2732			1.16535			0.582674	−	0.812706i	$-0.302006\pi$
$631$	29.2732			1.16535			0.582674	+	0.812706i	$0.302006\pi$
$632$	−0.402029	−	1.41224i	−0.0159918	−	0.0561758i
$633$	24.4153	−	18.5905i	0.970419	−	0.738907i
$634$	−42.2953	−	15.1466i	−1.67976	−	0.601549i
$635$	−6.58136	+	24.5620i	−0.261173	+	0.974713i
$636$	−6.32655	−	0.234161i	−0.250864	−	0.00928509i
$637$	−23.9737	−	1.58990i	−0.949872	−	0.0629941i
$638$	34.6263	−	50.0007i	1.37087	−	1.97955i
$639$	11.8290	−	42.8674i	0.467946	−	1.69581i
$640$	14.1925	−	12.8138i	0.561008	−	0.506509i
$641$	15.0673	+	8.69911i	0.595123	+	0.343594i	0.767120	−	0.641503i	$-0.221689\pi$
$641$	15.0673	+	8.69911i	0.595123	+	0.343594i	−0.171998	+	0.985097i	$0.555022\pi$
$642$	7.85390	−	15.1411i	0.309969	−	0.597570i
$643$	−23.1143	−	23.1143i	−0.911539	−	0.911539i	0.0848543	−	0.996393i	$-0.472958\pi$
$643$	−23.1143	−	23.1143i	−0.911539	−	0.911539i	−0.996393	+	0.0848543i	$0.972958\pi$
$644$	19.6838	+	1.30862i	0.775649	+	0.0515669i
$645$	−3.76539	−	9.18703i	−0.148262	−	0.361739i
$646$	−10.3721	−	12.2318i	−0.408086	−	0.481253i
$647$	3.75497	+	2.16793i	0.147623	+	0.0852303i	0.571992	−	0.820259i	$-0.306171\pi$
$647$	3.75497	+	2.16793i	0.147623	+	0.0852303i	−0.424369	+	0.905489i	$0.639504\pi$
$648$	17.9883	−	18.0117i	0.706646	−	0.707568i
$649$	3.66249	−	2.11454i	0.143765	−	0.0830030i
$650$	1.85988	+	10.2376i	0.0729506	+	0.401550i
$651$	−9.49268	+	5.02392i	−0.372048	+	0.196903i
$652$	−6.56769	+	14.4741i	−0.257211	+	0.566848i
$653$	2.73835	−	10.2197i	0.107160	−	0.399926i	−0.891421	−	0.453176i	$-0.850291\pi$
$653$	2.73835	−	10.2197i	0.107160	−	0.399926i	0.998581	+	0.0532492i	$0.0169578\pi$
$654$	0.325530	+	7.21447i	0.0127292	+	0.282108i
$655$	12.0410	+	6.95187i	0.470480	+	0.271632i
$656$	23.1302	+	7.87999i	0.903085	+	0.307662i
$657$	33.2685	+	33.7675i	1.29793	+	1.31740i
$658$	24.4719	−	0.384294i	0.954015	−	0.0149813i
$659$	−19.8932	+	19.8932i	−0.774928	+	0.774928i	−0.978963	−	0.204036i	$-0.934594\pi$
$659$	−19.8932	+	19.8932i	−0.774928	+	0.774928i	0.204036	+	0.978963i	$0.434594\pi$
$660$	−11.0845	+	35.9866i	−0.431462	+	1.40078i
$661$	23.0277	−	6.17026i	0.895674	−	0.239995i	0.218517	−	0.975833i	$-0.429878\pi$
$661$	23.0277	−	6.17026i	0.895674	−	0.239995i	0.677158	+	0.735838i	$0.263212\pi$
$662$	6.67726	−	18.6456i	0.259519	−	0.724680i
$663$	−2.48244	−	19.4141i	−0.0964099	−	0.753980i
$664$	−0.0952863	−	0.159273i	−0.00369783	−	0.00618099i
$665$	12.5233	−	8.96676i	0.485633	−	0.347716i
$666$	20.7711	+	14.6143i	0.804865	+	0.566292i
$667$	24.0790	+	6.45195i	0.932343	+	0.249821i
$668$	2.84762	−	17.1891i	0.110178	−	0.665066i
$669$	8.26962	+	1.12004i	0.319722	+	0.0433034i
$670$	−1.02610	+	12.4721i	−0.0396416	+	0.481838i
$671$	−12.7074			−0.490562
$672$	14.6357	+	21.3962i	0.564586	+	0.825374i
$673$	6.25405			0.241076			0.120538	−	0.992709i	$-0.461538\pi$
$673$	6.25405			0.241076			0.120538	+	0.992709i	$0.461538\pi$
$674$	−1.91707	+	23.3017i	−0.0738429	+	0.897549i
$675$	−8.91187	+	6.68157i	−0.343018	+	0.257174i
$676$	0.398481	−	2.40535i	0.0153262	−	0.0925133i
$677$	31.5838	+	8.46286i	1.21386	+	0.325254i	0.808277	−	0.588802i	$-0.200400\pi$
$677$	31.5838	+	8.46286i	1.21386	+	0.325254i	0.405588	+	0.914056i	$0.367067\pi$
$678$	1.35037	−	6.13342i	0.0518606	−	0.235553i
$679$	22.6383	+	10.2678i	0.868779	+	0.394043i
$680$	13.5054	−	8.07970i	0.517907	−	0.309842i
$681$	−5.87516	+	0.751245i	−0.225137	+	0.0287878i
$682$	−7.18718	+	20.0695i	−0.275211	+	0.768499i
$683$	−7.09504	+	1.90111i	−0.271484	+	0.0727440i	−0.391993	−	0.919968i	$-0.628214\pi$
$683$	−7.09504	+	1.90111i	−0.271484	+	0.0727440i	0.120508	+	0.992712i	$0.461547\pi$
$684$	−13.2384	+	15.8707i	−0.506183	+	0.606831i
$685$	−0.331811	+	0.331811i	−0.0126779	+	0.0126779i
$686$	25.6092	−	5.49268i	0.977763	−	0.209712i
$687$	−32.4813	−	13.5961i	−1.23924	−	0.518722i
$688$	−12.1744	+	5.98716i	−0.464146	+	0.228258i
$689$	5.43243	+	3.13641i	0.206959	+	0.119488i
$690$	−15.4181	+	0.695692i	−0.586957	+	0.0264845i
$691$	6.45501	−	24.0904i	0.245560	−	0.916443i	−0.727541	−	0.686064i	$-0.759337\pi$
$691$	6.45501	−	24.0904i	0.245560	−	0.916443i	0.973101	−	0.230379i	$-0.0739965\pi$
$692$	−3.06432	+	6.75324i	−0.116488	+	0.256720i
$693$	−46.3328	−	21.4319i	−1.76004	−	0.814132i
$694$	−5.91899	−	32.5805i	−0.224682	−	1.23674i
$695$	32.2682	−	18.6300i	1.22400	−	0.706677i
$696$	12.8926	+	30.1139i	0.488692	+	1.14147i
$697$	17.4174	+	10.0559i	0.659730	+	0.380895i
$698$	9.24300	+	10.9002i	0.349853	+	0.412579i
$699$	−15.4875	+	6.34771i	−0.585791	+	0.240092i
$700$	−5.00729	−	10.1778i	−0.189258	−	0.384683i
$701$	25.2847	+	25.2847i	0.954992	+	0.954992i	0.999030	−	0.0440381i	$-0.0140223\pi$
$701$	25.2847	+	25.2847i	0.954992	+	0.954992i	−0.0440381	+	0.999030i	$0.514022\pi$
$702$	−24.1000	+	7.44041i	−0.909597	+	0.280820i
$703$	−17.8571	−	10.3098i	−0.673494	−	0.388842i
$704$	50.0897	+	11.7663i	1.88783	+	0.443459i
$705$	−18.9936	+	2.42867i	−0.715339	+	0.0914690i
$706$	21.1850	−	30.5914i	0.797310	−	1.15132i
$707$	3.54675	−	21.4309i	0.133389	−	0.805993i
$708$	−0.0842492	+	2.27624i	−0.00316628	+	0.0855462i
$709$	−3.55943	+	13.2840i	−0.133677	+	0.498890i	−1.00000		0.000594893i	$-0.999811\pi$
$709$	−3.55943	+	13.2840i	−0.133677	+	0.498890i	0.866323	+	0.499485i	$0.166477\pi$
$710$	−33.3552	−	11.9450i	−1.25180	−	0.448288i
$711$	−1.50731	+	0.391880i	−0.0565284	+	0.0146967i
$712$	−40.9324	+	11.6524i	−1.53401	+	0.436694i
$713$	−8.73751			−0.327222
$714$	8.40048	+	19.6126i	0.314380	+	0.733984i
$715$	26.3819	−	26.3819i	0.986629	−	0.986629i
$716$	−0.407688	−	4.16275i	−0.0152360	−	0.155569i
$717$	−6.60183	+	48.7433i	−0.246550	+	1.82035i
$718$	−1.73250	−	3.66566i	−0.0646562	−	0.136801i
$719$	−13.5395	−	23.4510i	−0.504937	−	0.874576i	−0.999984	−	0.00570974i	$-0.998183\pi$
$719$	−13.5395	−	23.4510i	−0.504937	−	0.874576i	0.495047	−	0.868866i	$-0.335151\pi$
$720$	−13.2415	−	15.3618i	−0.493483	−	0.572500i
$721$	2.06436	+	21.0430i	0.0768806	+	0.783682i
$722$	−5.74486	+	8.29564i	−0.213802	+	0.308732i
$723$	2.39914	+	1.85515i	0.0892250	+	0.0689939i
$724$	−19.7690	−	27.6196i	−0.734708	−	1.02647i
$725$	−3.70977	−	13.8450i	−0.137777	−	0.514192i
$726$	−70.9060	+	22.4703i	−2.63157	+	0.833950i
$727$	33.6572			1.24828			0.624138	−	0.781315i	$-0.285450\pi$
$727$	33.6572			1.24828			0.624138	+	0.781315i	$0.285450\pi$
$728$	−2.90463	−	25.5205i	−0.107653	−	0.945852i
$729$	−18.6608	−	19.5134i	−0.691142	−	0.722719i
$730$	28.8049	−	24.4255i	1.06612	−	0.904029i
$731$	−10.7858	+	2.89006i	−0.398929	+	0.106893i
$732$	3.63900	−	5.79664i	0.134501	−	0.214250i
$733$	49.0212	+	13.1352i	1.81064	+	0.485159i	0.995555	−	0.0941854i	$-0.0300247\pi$
$733$	49.0212	+	13.1352i	1.81064	+	0.485159i	0.815083	+	0.579344i	$0.196691\pi$
$734$	−8.71187	+	12.5800i	−0.321561	+	0.464337i
$735$	−19.4332	+	6.49944i	−0.716804	+	0.239736i
$736$	2.38148	+	20.9544i	0.0877825	+	0.772389i
$737$	−29.1629	+	16.8372i	−1.07423	+	0.620207i
$738$	8.91958	−	24.3348i	0.328334	−	0.895776i
$739$	12.9539	−	3.47098i	0.476516	−	0.127682i	−0.0125641	−	0.999921i	$-0.503999\pi$
$739$	12.9539	−	3.47098i	0.476516	−	0.127682i	0.489080	+	0.872239i	$0.337333\pi$
$740$	12.8451	−	15.6343i	0.472196	−	0.574729i
$741$	18.9480	−	7.76601i	0.696071	−	0.285292i
$742$	−6.63210	−	1.66591i	−0.243472	−	0.0611575i
$743$			19.9224i			0.730881i	0.930835	+	0.365440i	$0.119082\pi$
$743$			19.9224i			0.730881i	−0.930835	+	0.365440i	$0.880918\pi$
$744$	−7.09677	−	9.02581i	−0.260180	−	0.330902i
$745$	2.71783	+	1.56914i	0.0995734	+	0.0574887i
$746$	1.05114	+	0.376431i	0.0384851	+	0.0137821i
$747$	−0.171212	+	0.0971575i	−0.00626433	+	0.00355481i
$748$	38.5642	+	17.4988i	1.41005	+	0.639818i
$749$	11.6932	−	14.2370i	0.427261	−	0.520210i
$750$	15.9262	+	24.9188i	0.581541	+	0.909907i
$751$	−1.54179	+	0.890152i	−0.0562606	+	0.0324821i	−0.527866	−	0.849327i	$-0.677008\pi$
$751$	−1.54179	+	0.890152i	−0.0562606	+	0.0324821i	0.471606	+	0.881809i	$0.343675\pi$
$752$	5.07633	+	25.6677i	0.185115	+	0.936003i
$753$	−11.2892	+	8.59597i	−0.411402	+	0.313254i
$754$	2.66133	−	32.3480i	0.0969198	−	1.17805i
$755$	−16.5643	+	16.5643i	−0.602836	+	0.602836i
$756$	23.0448	−	14.9979i	0.838131	−	0.545469i
$757$	−18.6133	−	18.6133i	−0.676511	−	0.676511i	0.282698	−	0.959209i	$-0.408771\pi$
$757$	−18.6133	−	18.6133i	−0.676511	−	0.676511i	−0.959209	+	0.282698i	$0.908771\pi$
$758$	−31.7268	−	37.4152i	−1.15237	−	1.35898i
$759$	−25.1595	−	33.0424i	−0.913232	−	1.19936i
$760$	11.8227	+	11.4608i	0.428853	+	0.415728i
$761$	12.6395	+	21.8923i	0.458182	+	0.793595i	0.998865	−	0.0476319i	$-0.0151674\pi$
$761$	12.6395	+	21.8923i	0.458182	+	0.793595i	−0.540683	+	0.841226i	$0.681834\pi$
$762$	7.92421	−	35.9921i	0.287064	−	1.30385i
$763$	−1.27363	+	7.69577i	−0.0461084	+	0.278606i
$764$	13.2368	+	35.2278i	0.478889	+	1.27450i
$765$	−8.23837	−	14.5178i	−0.297859	−	0.524891i
$766$	10.8382	−	5.12244i	0.391599	−	0.185081i
$767$	1.12845	−	1.95454i	0.0407461	−	0.0705744i
$768$	−19.7115	+	19.4796i	−0.711279	+	0.702910i
$769$	−14.8463			−0.535370			−0.267685	−	0.963506i	$-0.586259\pi$
$769$	−14.8463			−0.535370			−0.267685	+	0.963506i	$0.586259\pi$
$770$	−19.7805	+	35.5380i	−0.712838	+	1.28070i
$771$	−4.84369	−	11.8179i	−0.174441	−	0.425612i
$772$	3.49491	−	4.25379i	0.125784	−	0.153097i
$773$	−7.44402	−	27.7814i	−0.267743	−	0.999229i	−0.960550	−	0.278107i	$-0.910293\pi$
$773$	−7.44402	−	27.7814i	−0.267743	−	0.999229i	0.692808	−	0.721123i	$-0.256374\pi$
$774$	6.05191	+	13.0555i	0.217532	+	0.469269i
$775$	2.51196	+	4.35085i	0.0902323	+	0.156287i
$776$	−6.47826	+	25.7726i	−0.232556	+	0.925183i
$777$	18.6700	+	20.0986i	0.669782	+	0.721032i
$778$	−16.4456	+	2.98772i	−0.589604	+	0.107115i
$779$	−5.44618	+	20.3254i	−0.195130	+	0.728233i
$780$	4.47950	+	19.5895i	0.160392	+	0.701416i
$781$	−24.6751	−	92.0887i	−0.882944	−	3.29519i
$782$	−1.42323	+	17.2992i	−0.0508946	+	0.618617i
$783$	32.2465	−	12.9370i	1.15239	−	0.462332i
$784$	10.6668	+	25.8886i	0.380956	+	0.924593i
$785$			2.88750i			0.103059i
$786$	−17.8877	−	9.27864i	−0.638034	−	0.330958i
$787$	25.1338	−	6.73458i	0.895923	−	0.240062i	0.218659	−	0.975801i	$-0.429832\pi$
$787$	25.1338	−	6.73458i	0.895923	−	0.240062i	0.677265	+	0.735740i	$0.263165\pi$
$788$	0.902074	−	0.645668i	0.0321351	−	0.0230010i
$789$	−12.6130	+	16.3115i	−0.449035	+	0.580706i
$790$	0.221792	+	1.22084i	0.00789102	+	0.0434354i
$791$	2.80199	−	6.17778i	0.0996272	−	0.219656i
$792$	13.6977	−	52.8273i	0.486725	−	1.87714i
$793$	−5.87292	+	3.39073i	−0.208553	+	0.120408i
$794$	−10.3504	+	28.9025i	−0.367323	+	1.02571i
$795$	5.30147	+	0.718035i	0.188024	+	0.0254661i
$796$	−23.0373	+	28.0396i	−0.816535	+	0.993838i
$797$	−28.2008	−	28.2008i	−0.998923	−	0.998923i	0.00107650	−	0.999999i	$-0.499657\pi$
$797$	−28.2008	−	28.2008i	−0.998923	−	0.998923i	−0.999999	+	0.00107650i	$0.999657\pi$
$798$	−17.5461	+	13.8007i	−0.621124	+	0.488538i
$799$			21.5350i			0.761854i
$800$	9.74959	−	7.21008i	0.344700	−	0.254915i
$801$	11.3583	+	43.6880i	0.401326	+	1.54364i
$802$	−7.58395	−	16.0463i	−0.267799	−	0.566615i
$803$	98.1635	+	26.3028i	3.46412	+	0.928207i
$804$	0.670842	−	18.1247i	0.0236588	−	0.639211i
$805$	−16.4467	−	2.72188i	−0.579670	−	0.0959336i
$806$	2.03350	+	11.1932i	0.0716269	+	0.394264i
$807$	0.510692	+	3.99390i	0.0179772	+	0.140592i
$808$	23.2194	−	0.360839i	0.816857	−	0.0126943i
$809$	11.0292	−	19.1032i	0.387767	−	0.671633i	−0.604382	−	0.796695i	$-0.706580\pi$
$809$	11.0292	−	19.1032i	0.387767	−	0.671633i	0.992149	+	0.125062i	$0.0399131\pi$
$810$	−16.6121	+	13.6666i	−0.583689	+	0.480196i
$811$	−17.1346	+	17.1346i	−0.601676	+	0.601676i	−0.940757	−	0.339081i	$-0.889884\pi$
$811$	−17.1346	+	17.1346i	−0.601676	+	0.601676i	0.339081	+	0.940757i	$0.389884\pi$
$812$	6.87032	+	34.7090i	0.241101	+	1.21805i
$813$	10.4388	+	25.4691i	0.366104	+	0.893242i
$814$	54.2652	+	4.46449i	1.90200	+	0.156480i
$815$	6.71576	−	11.6320i	0.235243	−	0.407452i
$816$	−19.0259	+	12.5805i	−0.666041	+	0.440406i
$817$	−5.84149	−	10.1178i	−0.204368	−	0.353976i
$818$	−5.31708	+	7.67792i	−0.185907	+	0.268452i
$819$	−27.1322	+	2.45796i	−0.948076	+	0.0858882i
$820$	−18.8040	−	8.53242i	−0.656664	−	0.297965i
$821$	12.4699	+	3.34129i	0.435202	+	0.116612i	0.469767	−	0.882790i	$-0.344338\pi$
$821$	12.4699	+	3.34129i	0.435202	+	0.116612i	−0.0345651	+	0.999402i	$0.511005\pi$
$822$	0.458736	−	0.502091i	0.0160003	−	0.0175124i
$823$	−21.1555	+	36.6424i	−0.737434	+	1.27727i	0.216213	+	0.976346i	$0.430630\pi$
$823$	−21.1555	+	36.6424i	−0.737434	+	1.27727i	−0.953647	+	0.300928i	$0.902704\pi$
$824$	−21.7401	+	6.18888i	−0.757354	+	0.215600i
$825$	−9.22033	+	22.0276i	−0.321011	+	0.766903i
$826$	−0.599380	+	2.38617i	−0.0208551	+	0.0830256i
$827$	4.14815	+	4.14815i	0.144245	+	0.144245i	0.775542	−	0.631296i	$-0.217477\pi$
$827$	4.14815	+	4.14815i	0.144245	+	0.144245i	−0.631296	+	0.775542i	$0.717477\pi$
$828$	22.2777	−	2.01452i	0.774203	−	0.0700093i
$829$	−1.54565	−	5.76844i	−0.0536826	−	0.200346i	0.933876	−	0.357597i	$-0.116404\pi$
$829$	−1.54565	−	5.76844i	−0.0536826	−	0.200346i	−0.987559	+	0.157250i	$0.949737\pi$
$830$	0.0670190	+	0.141800i	0.00232626	+	0.00492196i
$831$	−1.98965	−	15.5602i	−0.0690202	−	0.539777i
$832$	26.2894	−	7.92756i	0.911422	−	0.274839i
$833$	4.47851	+	22.6061i	0.155171	+	0.783256i
$834$	−45.5024	+	29.0816i	−1.57562	+	1.00701i
$835$	−3.81073	+	14.2218i	−0.131876	+	0.492167i
$836$	−7.24158	+	43.7123i	−0.250455	+	1.51182i
$837$	−9.74377	+	7.30527i	−0.336794	+	0.252507i
$838$	11.1578	+	13.1584i	0.385441	+	0.454548i
$839$			35.7589i			1.23453i	0.786754	+	0.617267i	$0.211760\pi$
$839$			35.7589i			1.23453i	−0.786754	+	0.617267i	$0.788240\pi$
$840$	−10.5466	−	19.2001i	−0.363893	−	0.662467i
$841$			15.7112i			0.541764i
$842$	35.5554	−	30.1497i	1.22532	−	1.03903i
$843$	−4.30235	+	31.7656i	−0.148181	+	1.09406i
$844$	20.6241	+	28.8143i	0.709911	+	0.991829i
$845$	−0.533253	+	1.99013i	−0.0183445	+	0.0684624i
$846$	27.3412	−	4.75720i	0.940010	−	0.163556i
$847$	−79.9571	+	7.84394i	−2.74736	+	0.269521i
$848$	0.486122	−	7.29409i	0.0166935	−	0.250480i
$849$	25.3780	−	3.24504i	0.870971	−	0.111369i
$850$	9.02329	−	4.26467i	0.309496	−	0.146277i
$851$	5.77608	+	21.5566i	0.198001	+	0.738951i
$852$	49.0738	+	15.1155i	1.68124	+	0.517849i
$853$	3.06488	+	3.06488i	0.104940	+	0.104940i	0.757627	−	0.652688i	$-0.226359\pi$
$853$	3.06488	+	3.06488i	0.104940	+	0.104940i	−0.652688	+	0.757627i	$0.726359\pi$
$854$	5.14464	−	5.30879i	0.176046	−	0.181663i
$855$	12.4410	−	12.2572i	0.425474	−	0.419186i
$856$	17.2078	+	9.58154i	0.588150	+	0.327490i
$857$	22.6343	−	39.2038i	0.773174	−	1.33918i	−0.162640	−	0.986685i	$-0.552001\pi$
$857$	22.6343	−	39.2038i	0.773174	−	1.33918i	0.935815	−	0.352492i	$-0.114666\pi$
$858$	−36.4736	+	39.9207i	−1.24519	+	1.36287i
$859$	−39.3234	−	10.5367i	−1.34170	−	0.359507i	−0.484634	−	0.874717i	$-0.661047\pi$
$859$	−39.3234	−	10.5367i	−1.34170	−	0.359507i	−0.857064	+	0.515210i	$0.827714\pi$
$860$	10.7321	−	4.03255i	0.365962	−	0.137509i
$861$	14.8806	−	23.7121i	0.507128	−	0.808108i
$862$	12.7318	+	8.81699i	0.433647	+	0.300308i
$863$	12.8941	+	22.3333i	0.438922	+	0.760234i	0.997607	−	0.0691455i	$-0.0220273\pi$
$863$	12.8941	+	22.3333i	0.438922	+	0.760234i	−0.558685	+	0.829380i	$0.688694\pi$
$864$	20.1753	+	21.3765i	0.686379	+	0.727244i
$865$	3.13341	−	5.42722i	0.106539	−	0.184531i
$866$	4.12558	−	50.1458i	0.140193	−	1.70402i
$867$	9.87456	−	4.04719i	0.335358	−	0.137450i
$868$	−5.47471	−	11.1278i	−0.185824	−	0.377703i
$869$	−2.36097	+	2.36097i	−0.0800904	+	0.0800904i
$870$	−8.36255	−	26.3884i	−0.283517	−	0.894650i
$871$	−8.98542	+	15.5632i	−0.304459	+	0.527339i
$872$	−8.33803	+	0.129576i	−0.282361	+	0.00438800i
$873$	27.1709	+	7.49762i	0.919594	+	0.253756i
$874$	−17.8682	+	3.24617i	−0.604402	+	0.109803i
$875$	11.2404	+	29.9000i	0.379995	+	1.01080i
$876$	−40.1095	+	37.2463i	−1.35517	+	1.25844i
$877$	−30.5585	−	8.18813i	−1.03189	−	0.276494i	−0.297140	−	0.954834i	$-0.596033\pi$
$877$	−30.5585	−	8.18813i	−1.03189	−	0.276494i	−0.734748	+	0.678340i	$0.762700\pi$
$878$	−31.5465	+	14.9098i	−1.06464	+	0.503181i
$879$	−7.37642	−	9.68758i	−0.248801	−	0.326754i
$880$	−41.1574	−	14.0215i	−1.38741	−	0.472663i
$881$		−	5.25422i		−	0.177019i	−0.996075	−	0.0885096i	$-0.971790\pi$
$881$		−	5.25422i		−	0.177019i	0.996075	−	0.0885096i	$-0.0282104\pi$
$882$	27.7118	−	10.6798i	0.933104	−	0.359607i
$883$	−29.1304	−	29.1304i	−0.980317	−	0.980317i	0.0194931	−	0.999810i	$-0.493795\pi$
$883$	−29.1304	−	29.1304i	−0.980317	−	0.980317i	−0.999810	+	0.0194931i	$0.993795\pi$
$884$	22.4923	−	2.20284i	0.756499	−	0.0740894i
$885$	0.258343	−	1.90743i	0.00868410	−	0.0641174i
$886$	21.6969	+	7.77000i	0.728922	+	0.261038i
$887$	−37.6967	+	21.7642i	−1.26573	+	0.730771i	−0.974178	−	0.225783i	$-0.927506\pi$
$887$	−37.6967	+	21.7642i	−1.26573	+	0.730771i	−0.291555	+	0.956554i	$0.594173\pi$
$888$	−17.5765	+	23.4754i	−0.589827	+	0.787781i
$889$	16.4426	−	36.2524i	0.551467	−	1.21586i
$890$	35.3848	−	6.42846i	1.18610	−	0.215482i
$891$	−55.6832	−	15.8124i	−1.86546	−	0.529734i
$892$	−1.57490	+	9.50655i	−0.0527315	+	0.318303i
$893$	−21.7637	+	5.83156i	−0.728294	+	0.195146i
$894$	−4.03752	−	2.09432i	−0.135035	−	0.0700446i
$895$			3.53454i			0.118147i
$896$	−25.1947	+	16.1625i	−0.841696	+	0.539951i
$897$	−20.4447	−	8.55774i	−0.682627	−	0.285735i
$898$	7.26508	+	0.597710i	0.242439	+	0.0199458i
$899$	−4.05606	−	15.1374i	−0.135277	−	0.504862i
$900$	−7.40778	−	10.5140i	−0.246926	−	0.350467i
$901$	1.55725	−	5.81172i	0.0518794	−	0.193616i
$902$	−9.93207	−	54.6701i	−0.330702	−	1.82032i
$903$	3.46722	+	15.1513i	0.115382	+	0.504202i
$904$	7.03310	+	1.76785i	0.233917	+	0.0587980i
$905$	14.3512	+	24.8570i	0.477050	+	0.826274i
$906$	22.9005	−	25.0648i	0.760818	−	0.832721i
$907$	9.82019	+	36.6495i	0.326074	+	1.21693i	0.913228	+	0.407450i	$0.133582\pi$
$907$	9.82019	+	36.6495i	0.326074	+	1.21693i	−0.587154	+	0.809476i	$0.699752\pi$
$908$	−0.666631	−	6.80672i	−0.0221229	−	0.225889i
$909$	0.183339	−	24.6302i	0.00608098	−	0.816933i
$910$	0.340805	+	21.7025i	0.0112976	+	0.719432i
$911$	32.1589			1.06547			0.532736	−	0.846281i	$-0.321164\pi$
$911$	32.1589			1.06547			0.532736	+	0.846281i	$0.321164\pi$
$912$	−17.8662	−	15.8212i	−0.591609	−	0.523893i
$913$	−0.211020	+	0.365498i	−0.00698376	+	0.0120962i
$914$	−13.5778	−	28.7283i	−0.449114	−	0.950246i
$915$	−3.53793	+	4.57536i	−0.116960	+	0.151257i
$916$	16.8007	−	37.0260i	0.555112	−	1.22337i
$917$	−16.8197	−	13.8144i	−0.555436	−	0.456193i
$918$	12.8764	+	20.4814i	0.424984	+	0.675986i
$919$	−0.341865	−	0.592127i	−0.0112771	−	0.0195325i	0.860332	−	0.509734i	$-0.170256\pi$
$919$	−0.341865	−	0.592127i	−0.0112771	−	0.0195325i	−0.871609	+	0.490202i	$0.836923\pi$
$920$	−0.276918	−	17.8193i	−0.00912971	−	0.587484i
$921$	−33.1547	+	25.2450i	−1.09248	+	0.831851i
$922$	23.4457	−	19.8811i	0.772143	−	0.654750i
$923$	−35.9762	−	35.9762i	−1.18417	−	1.18417i
$924$	26.3175	−	52.7460i	0.865781	−	1.73521i
$925$	9.07355	−	9.07355i	0.298336	−	0.298336i
$926$	22.2759	+	1.83268i	0.732033	+	0.0602255i
$927$	6.03265	+	23.2037i	0.198138	+	0.762109i
$928$	−35.1973	+	13.8531i	−1.15541	+	0.454751i
$929$	31.1788	−	18.0011i	1.02294	−	0.590597i	0.107989	−	0.994152i	$-0.465559\pi$
$929$	31.1788	−	18.0011i	1.02294	−	0.590597i	0.914956	+	0.403555i	$0.132225\pi$
$930$	5.22511	+	8.17545i	0.171338	+	0.268083i
$931$	−21.6334	+	10.6477i	−0.709006	+	0.348963i
$932$	−6.79809	−	18.0922i	−0.222679	−	0.592630i
$933$	−33.3764	+	43.1634i	−1.09269	+	1.41311i
$934$	11.3441	−	31.6772i	0.371191	−	1.03651i
$935$	−30.9920	−	17.8933i	−1.01355	−	0.585172i
$936$	−7.76543	−	28.0700i	−0.253821	−	0.917497i
$937$		−	0.926672i		−	0.0302731i	−0.999885	−	0.0151365i	$-0.995182\pi$
$937$		−	0.926672i		−	0.0302731i	0.999885	−	0.0151365i	$-0.00481829\pi$
$938$	4.77262	−	19.0001i	0.155831	−	0.620376i
$939$	−16.0046	−	39.0490i	−0.522290	−	1.27431i
$940$	−2.15513	−	22.0052i	−0.0702924	−	0.717730i
$941$	−22.9332	+	6.14495i	−0.747603	+	0.200319i	−0.612454	−	0.790506i	$-0.709818\pi$
$941$	−22.9332	+	6.14495i	−0.747603	+	0.200319i	−0.135148	+	0.990825i	$0.543151\pi$
$942$	−0.188640	−	4.18068i	−0.00614621	−	0.136214i
$943$	19.7234	−	11.3873i	0.642283	−	0.370822i
$944$	−2.62435	−	0.174903i	−0.0854153	−	0.00569259i
$945$	−20.6165	+	10.7154i	−0.670655	+	0.348573i
$946$	25.3624	+	17.5639i	0.824604	+	0.571051i
$947$	−42.4731	−	11.3806i	−1.38019	−	0.369821i	−0.509000	−	0.860767i	$-0.669985\pi$
$947$	−42.4731	−	11.3806i	−1.38019	−	0.369821i	−0.871190	+	0.490946i	$0.836651\pi$
$948$	−0.400879	−	1.75310i	−0.0130200	−	0.0569380i
$949$	52.3863	−	14.0369i	1.70053	−	0.455656i
$950$	6.75340	+	7.96425i	0.219109	+	0.258394i
$951$	−50.7554	−	21.2452i	−1.64586	−	0.688924i
$952$	−22.9234	+	9.02665i	−0.742953	+	0.292555i
$953$	−19.7379			−0.639374			−0.319687	−	0.947523i	$-0.603578\pi$
$953$	−19.7379			−0.639374			−0.319687	+	0.947523i	$0.603578\pi$
$954$	−7.72265	−	0.693265i	−0.250030	−	0.0224453i
$955$	−8.23077	−	30.7177i	−0.266342	−	0.994000i
$956$	−56.0341	−	9.28287i	−1.81227	−	0.300229i
$957$	45.5655	−	58.9267i	1.47292	−	1.90483i
$958$	−12.3535	−	8.55503i	−0.399125	−	0.276400i
$959$	0.597275	−	0.427652i	0.0192870	−	0.0138096i
$960$	18.1823	−	14.7592i	0.586831	−	0.476351i
$961$	−12.7536	−	22.0898i	−0.411405	−	0.712574i
$962$	26.2709	−	12.4164i	0.847006	−	0.400320i
$963$	10.5795	−	18.0132i	0.340920	−	0.580469i
$964$	−2.22307	+	2.70578i	−0.0716002	+	0.0871474i
$965$	−3.28966	+	3.28966i	−0.105898	+	0.105898i
$966$	23.9902	+	2.86642i	0.771872	+	0.0922256i
$967$	−0.616097			−0.0198124			−0.00990618	−	0.999951i	$-0.503153\pi$
$967$	−0.616097			−0.0198124			−0.00990618	+	0.999951i	$0.503153\pi$
$968$	−23.5159	−	82.6061i	−0.755829	−	2.65506i
$969$	−11.8990	−	15.6272i	−0.382252	−	0.502018i
$970$	7.57118	−	21.1417i	0.243096	−	0.678820i
$971$	2.54300	−	9.49061i	0.0816088	−	0.304568i	−0.913042	−	0.407866i	$-0.866273\pi$
$971$	2.54300	−	9.49061i	0.0816088	−	0.304568i	0.994650	+	0.103298i	$0.0329396\pi$
$972$	23.1590	−	20.8725i	0.742825	−	0.669485i
$973$	−54.5981	+	20.5252i	−1.75034	+	0.658009i
$974$	1.61129	+	1.11585i	0.0516292	+	0.0357541i
$975$	1.61634	+	12.6407i	0.0517644	+	0.404826i
$976$	6.56630	+	4.39790i	0.210182	+	0.140773i
$977$	32.4064	+	18.7098i	1.03677	+	0.598581i	0.918918	−	0.394450i	$-0.129065\pi$
$977$	32.4064	+	18.7098i	1.03677	+	0.598581i	0.117855	+	0.993031i	$0.462398\pi$
$978$	−8.96350	+	17.2802i	−0.286621	+	0.552559i
$979$	68.4306	+	68.4306i	2.18705	+	2.18705i
$980$	−6.83860	−	22.6515i	−0.218451	−	0.723575i
$981$	−0.0658366	+	8.84464i	−0.00210200	+	0.282387i
$982$	2.55986	−	2.17067i	0.0816885	−	0.0692690i
$983$	6.40761	+	3.69944i	0.204371	+	0.117994i	0.598693	−	0.800979i	$-0.295687\pi$
$983$	6.40761	+	3.69944i	0.204371	+	0.117994i	−0.394322	+	0.918972i	$0.629020\pi$
$984$	27.7828	+	11.1252i	0.885683	+	0.354659i
$985$	−0.811846	+	0.468719i	−0.0258676	+	0.0149346i
$986$	−30.6309	+	5.56479i	−0.975486	+	0.177219i
$987$	29.9552	+	1.10383i	0.953485	+	0.0351352i
$988$	8.31702	+	22.1346i	0.264600	+	0.704197i
$989$	−3.27270	+	12.2139i	−0.104066	+	0.388379i
$990$	−15.8713	+	43.3007i	−0.504422	+	1.37619i
$991$	5.29343	+	3.05616i	0.168151	+	0.0970822i	0.581714	−	0.813394i	$-0.302382\pi$
$991$	5.29343	+	3.05616i	0.168151	+	0.0970822i	−0.413563	+	0.910476i	$0.635716\pi$
$992$	10.6597	−	7.88312i	0.338446	−	0.250289i
$993$	9.36579	−	22.3751i	0.297214	−	0.710053i
$994$	48.4620	+	26.9740i	1.53712	+	0.855563i
$995$	21.6844	−	21.6844i	0.687442	−	0.687442i
$996$	−0.106297	−	0.200928i	−0.00336816	−	0.00636663i
$997$	−45.8508	+	12.2857i	−1.45211	+	0.389092i	−0.896757	−	0.442523i	$-0.854083\pi$
$997$	−45.8508	+	12.2857i	−1.45211	+	0.389092i	−0.555353	+	0.831615i	$0.687417\pi$
$998$	−16.2296	−	5.81207i	−0.513739	−	0.183978i
$999$	24.4644	+	19.2099i	0.774019	+	0.607775i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bu.a.11.28	✓	240
3.2	odd	2	inner	336.2.bu.a.11.33	yes	240
7.2	even	3	inner	336.2.bu.a.107.52	yes	240
16.3	odd	4	inner	336.2.bu.a.179.9	yes	240
21.2	odd	6	inner	336.2.bu.a.107.9	yes	240
48.35	even	4	inner	336.2.bu.a.179.52	yes	240
112.51	odd	12	inner	336.2.bu.a.275.33	yes	240
336.275	even	12	inner	336.2.bu.a.275.28	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bu.a.11.28	✓	240	1.1	even	1	trivial
336.2.bu.a.11.33	yes	240	3.2	odd	2	inner
336.2.bu.a.107.9	yes	240	21.2	odd	6	inner
336.2.bu.a.107.52	yes	240	7.2	even	3	inner
336.2.bu.a.179.9	yes	240	16.3	odd	4	inner
336.2.bu.a.179.52	yes	240	48.35	even	4	inner
336.2.bu.a.275.28	yes	240	336.275	even	12	inner
336.2.bu.a.275.33	yes	240	112.51	odd	12	inner

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:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bu (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.115958 + 1.40945i) q^{2} +(-0.232468 + 1.71638i) q^{3} +(-1.97311 - 0.326874i) q^{4} +(1.63250 + 0.437428i) q^{5} +(-2.39220 - 0.526679i) q^{6} +(-2.40950 - 1.09285i) q^{7} +(0.689510 - 2.74310i) q^{8} +(-2.89192 - 0.798005i) q^{9} +O(q^{10})\)	\(q+(-0.115958 + 1.40945i) q^{2} +(-0.232468 + 1.71638i) q^{3} +(-1.97311 - 0.326874i) q^{4} +(1.63250 + 0.437428i) q^{5} +(-2.39220 - 0.526679i) q^{6} +(-2.40950 - 1.09285i) q^{7} +(0.689510 - 2.74310i) q^{8} +(-2.89192 - 0.798005i) q^{9} +(-0.805835 + 2.25021i) q^{10} +(-6.21249 + 1.66463i) q^{11} +(1.01972 - 3.31061i) q^{12} +(-2.42703 + 2.42703i) q^{13} +(1.81972 - 3.26935i) q^{14} +(-1.13030 + 2.70031i) q^{15} +(3.78631 + 1.28992i) q^{16} +(2.85114 + 1.64611i) q^{17} +(1.46009 - 3.98348i) q^{18} +(-0.891512 + 3.32717i) q^{19} +(-3.07812 - 1.39671i) q^{20} +(2.43588 - 3.88156i) q^{21} +(-1.62583 - 8.94923i) q^{22} +(3.22863 - 1.86405i) q^{23} +(4.54791 + 1.82114i) q^{24} +(-1.85641 - 1.07180i) q^{25} +(-3.13935 - 3.70221i) q^{26} +(2.04196 - 4.77812i) q^{27} +(4.39697 + 2.94391i) q^{28} +(4.72817 + 4.72817i) q^{29} +(-3.67488 - 1.90622i) q^{30} +(-2.02970 - 1.17185i) q^{31} +(-2.25713 + 5.18704i) q^{32} +(-1.41294 - 11.0500i) q^{33} +(-2.65072 + 3.82766i) q^{34} +(-3.45547 - 2.83806i) q^{35} +(5.44522 + 2.51984i) q^{36} +(-1.54934 + 5.78220i) q^{37} +(-4.58610 - 1.64235i) q^{38} +(-3.60150 - 4.72991i) q^{39} +(2.32553 - 4.17650i) q^{40} +6.10892 q^{41} +(5.18841 + 3.88335i) q^{42} +(-2.39832 + 2.39832i) q^{43} +(12.8020 - 1.25380i) q^{44} +(-4.37199 - 2.56775i) q^{45} +(2.25290 + 4.76674i) q^{46} +(3.27060 + 5.66485i) q^{47} +(-3.09418 + 6.19888i) q^{48} +(4.61136 + 5.26644i) q^{49} +(1.72591 - 2.49223i) q^{50} +(-3.48814 + 4.51097i) q^{51} +(5.58212 - 3.99546i) q^{52} +(-0.473009 - 1.76529i) q^{53} +(6.49775 + 3.43210i) q^{54} -10.8701 q^{55} +(-4.65917 + 5.85595i) q^{56} +(-5.50344 - 2.30363i) q^{57} +(-7.21239 + 6.11586i) q^{58} +(-0.635138 + 0.170185i) q^{59} +(3.11285 - 4.95853i) q^{60} +(1.90843 + 0.511363i) q^{61} +(1.88702 - 2.72488i) q^{62} +(6.09597 + 5.08322i) q^{63} +(-7.04915 - 3.78279i) q^{64} +(-5.02378 + 2.90048i) q^{65} +(15.7382 - 0.710136i) q^{66} +(5.05734 - 1.35511i) q^{67} +(-5.08753 - 4.17991i) q^{68} +(2.44886 + 5.97488i) q^{69} +(4.40080 - 4.54122i) q^{70} +14.8232i q^{71} +(-4.18301 + 7.38257i) q^{72} +(-13.6841 - 7.90050i) q^{73} +(-7.97008 - 2.85421i) q^{74} +(2.27116 - 2.93714i) q^{75} +(2.84661 - 6.27345i) q^{76} +(16.7882 + 2.77839i) q^{77} +(7.08420 - 4.52767i) q^{78} +(0.449587 - 0.259569i) q^{79} +(5.61691 + 3.76202i) q^{80} +(7.72638 + 4.61553i) q^{81} +(-0.708378 + 8.61023i) q^{82} +(0.0464000 - 0.0464000i) q^{83} +(-6.07503 + 6.86251i) q^{84} +(3.93444 + 3.93444i) q^{85} +(-3.10222 - 3.65843i) q^{86} +(-9.21448 + 7.01619i) q^{87} +(0.282667 + 18.1892i) q^{88} +(-7.52339 - 13.0309i) q^{89} +(4.12609 - 5.86436i) q^{90} +(8.50030 - 3.19554i) q^{91} +(-6.97973 + 2.62261i) q^{92} +(2.48317 - 3.21131i) q^{93} +(-8.36358 + 3.95287i) q^{94} +(-2.91079 + 5.04164i) q^{95} +(-8.37822 - 5.07990i) q^{96} -9.39545 q^{97} +(-7.95751 + 5.88880i) q^{98} +(19.2944 + 0.143621i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Introduction

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