LMFDB - Embedded newform 336.2.bq.b.109.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(37,336)]

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([0, 3, 0, 4]))

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

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

chi := DirichletCharacter("336.37");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bq (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:	$120$
Relative dimension:	$30$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			109.6
Character	$\chi$	$=$	336.109
Dual form			336.2.bq.b.37.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.17868 + 0.781485i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.778563 - 1.84224i) q^{4} +(-1.63016 - 0.436800i) q^{5} +(-0.936252 + 1.05992i) q^{6} +(-2.22530 - 1.43110i) q^{7} +(0.522007 + 2.77984i) q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})$	\(q+(-1.17868 + 0.781485i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.778563 - 1.84224i) q^{4} +(-1.63016 - 0.436800i) q^{5} +(-0.936252 + 1.05992i) q^{6} +(-2.22530 - 1.43110i) q^{7} +(0.522007 + 2.77984i) q^{8} +(0.866025 - 0.500000i) q^{9} +(2.26279 - 0.759099i) q^{10} +(-0.0320168 - 0.119488i) q^{11} +(0.275227 - 1.98097i) q^{12} +(-3.88035 - 3.88035i) q^{13} +(3.74129 - 0.0522342i) q^{14} -1.68767 q^{15} +(-2.78768 - 2.86859i) q^{16} +(0.0515689 - 0.0893200i) q^{17} +(-0.630022 + 1.26612i) q^{18} +(0.855270 - 3.19191i) q^{19} +(-2.07387 + 2.66307i) q^{20} +(-2.51987 - 0.806385i) q^{21} +(0.131116 + 0.115818i) q^{22} +(-5.38399 + 3.10845i) q^{23} +(1.22370 + 2.55001i) q^{24} +(-1.86350 - 1.07589i) q^{25} +(7.60611 + 1.54125i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-4.36896 + 2.98533i) q^{28} +(-2.66015 - 2.66015i) q^{29} +(1.98921 - 1.31888i) q^{30} +(2.17434 - 3.76607i) q^{31} +(5.52754 + 1.20262i) q^{32} +(-0.0618518 - 0.107130i) q^{33} +(0.00901909 + 0.145580i) q^{34} +(3.00249 + 3.30493i) q^{35} +(-0.246864 - 1.98471i) q^{36} +(8.88833 + 2.38162i) q^{37} +(1.48634 + 4.43061i) q^{38} +(-4.75243 - 2.74382i) q^{39} +(0.363280 - 4.75959i) q^{40} -7.82242i q^{41} +(3.60029 - 1.01877i) q^{42} +(-0.793700 + 0.793700i) q^{43} +(-0.245053 - 0.0340466i) q^{44} +(-1.63016 + 0.436800i) q^{45} +(3.91679 - 7.87137i) q^{46} +(1.78253 + 3.08744i) q^{47} +(-3.43514 - 2.04935i) q^{48} +(2.90392 + 6.36924i) q^{49} +(3.03726 - 0.188167i) q^{50} +(0.0266940 - 0.0996235i) q^{51} +(-10.1696 + 4.12743i) q^{52} +(-3.15822 - 11.7866i) q^{53} +(-0.280858 + 1.38604i) q^{54} +0.208770i q^{55} +(2.81660 - 6.93302i) q^{56} -3.30451i q^{57} +(5.21432 + 1.05659i) q^{58} +(1.76351 + 6.58151i) q^{59} +(-1.31395 + 3.10908i) q^{60} +(1.64166 - 6.12674i) q^{61} +(0.380279 + 6.13820i) q^{62} +(-2.64272 - 0.126718i) q^{63} +(-7.45502 + 2.90219i) q^{64} +(4.63065 + 8.02052i) q^{65} +(0.156624 + 0.0779360i) q^{66} +(-3.39177 + 0.908823i) q^{67} +(-0.124399 - 0.164543i) q^{68} +(-4.39601 + 4.39601i) q^{69} +(-6.12172 - 1.54905i) q^{70} +11.8749i q^{71} +(1.84199 + 2.14641i) q^{72} +(8.37816 + 4.83713i) q^{73} +(-12.3377 + 4.13893i) q^{74} +(-2.07847 - 0.556923i) q^{75} +(-5.21438 - 4.06071i) q^{76} +(-0.0997527 + 0.311717i) q^{77} +(7.74584 - 0.479877i) q^{78} +(7.10979 + 12.3145i) q^{79} +(3.29136 + 5.89393i) q^{80} +(0.500000 - 0.866025i) q^{81} +(6.11310 + 9.22011i) q^{82} +(3.85826 + 3.85826i) q^{83} +(-3.44743 + 4.01438i) q^{84} +(-0.123081 + 0.123081i) q^{85} +(0.315252 - 1.55578i) q^{86} +(-3.25800 - 1.88101i) q^{87} +(0.315446 - 0.151375i) q^{88} +(2.98637 - 1.72418i) q^{89} +(1.58008 - 1.78879i) q^{90} +(3.08178 + 14.1881i) q^{91} +(1.53473 + 12.3387i) q^{92} +(1.12552 - 4.20051i) q^{93} +(-4.51382 - 2.24607i) q^{94} +(-2.78845 + 4.82974i) q^{95} +(5.65046 - 0.268992i) q^{96} -16.7914 q^{97} +(-8.40025 - 5.23792i) q^{98} +(-0.0874716 - 0.0874716i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8}+O(q^{10}) $ 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8	$ 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8} - 8 q^{10} + 4 q^{11} + 8 q^{13} + 32 q^{14} + 8 q^{15} + 12 q^{16} - 16 q^{17} - 4 q^{18} - 8 q^{19} - 64 q^{20} + 12 q^{21} + 24 q^{22} - 8 q^{24} - 8 q^{26} - 8 q^{28} - 64 q^{29} - 52 q^{31} - 4 q^{33} + 32 q^{34} - 8 q^{35} + 24 q^{37} - 40 q^{38} - 60 q^{40} + 24 q^{42} - 32 q^{43} - 12 q^{44} - 8 q^{45} + 4 q^{46} - 8 q^{47} + 32 q^{48} + 20 q^{49} - 16 q^{50} - 8 q^{51} - 16 q^{52} + 4 q^{54} - 104 q^{56} + 4 q^{58} + 52 q^{59} - 16 q^{60} + 4 q^{61} - 144 q^{62} + 8 q^{63} - 64 q^{64} + 24 q^{65} + 24 q^{66} + 12 q^{68} + 24 q^{69} - 48 q^{70} + 4 q^{72} + 16 q^{74} + 16 q^{75} - 8 q^{76} + 8 q^{77} - 56 q^{78} + 28 q^{79} + 68 q^{80} + 60 q^{81} + 28 q^{82} + 8 q^{83} + 24 q^{84} - 80 q^{85} + 36 q^{86} + 40 q^{88} + 8 q^{90} + 36 q^{91} - 184 q^{92} + 4 q^{93} + 60 q^{94} - 16 q^{95} + 36 q^{96} + 24 q^{97} + 124 q^{98} - 8 q^{99}+O(q^{100}) $ 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8 - 8 * q^10 + 4 * q^11 + 8 * q^13 + 32 * q^14 + 8 * q^15 + 12 * q^16 - 16 * q^17 - 4 * q^18 - 8 * q^19 - 64 * q^20 + 12 * q^21 + 24 * q^22 - 8 * q^24 - 8 * q^26 - 8 * q^28 - 64 * q^29 - 52 * q^31 - 4 * q^33 + 32 * q^34 - 8 * q^35 + 24 * q^37 - 40 * q^38 - 60 * q^40 + 24 * q^42 - 32 * q^43 - 12 * q^44 - 8 * q^45 + 4 * q^46 - 8 * q^47 + 32 * q^48 + 20 * q^49 - 16 * q^50 - 8 * q^51 - 16 * q^52 + 4 * q^54 - 104 * q^56 + 4 * q^58 + 52 * q^59 - 16 * q^60 + 4 * q^61 - 144 * q^62 + 8 * q^63 - 64 * q^64 + 24 * q^65 + 24 * q^66 + 12 * q^68 + 24 * q^69 - 48 * q^70 + 4 * q^72 + 16 * q^74 + 16 * q^75 - 8 * q^76 + 8 * q^77 - 56 * q^78 + 28 * q^79 + 68 * q^80 + 60 * q^81 + 28 * q^82 + 8 * q^83 + 24 * q^84 - 80 * q^85 + 36 * q^86 + 40 * q^88 + 8 * q^90 + 36 * q^91 - 184 * q^92 + 4 * q^93 + 60 * q^94 - 16 * q^95 + 36 * q^96 + 24 * q^97 + 124 * q^98 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−1.17868	+	0.781485i	−0.833451	+	0.552593i
$2$	−1.17868	+	0.781485i	−0.833451	+	0.552593i
$3$	0.965926	−	0.258819i	0.557678	−	0.149429i
$3$	0.965926	−	0.258819i	0.557678	−	0.149429i
$4$	0.778563	−	1.84224i	0.389281	−	0.921119i
$5$	−1.63016	−	0.436800i	−0.729029	−	0.195343i	−0.124832	−	0.992178i	$-0.539839\pi$
$5$	−1.63016	−	0.436800i	−0.729029	−	0.195343i	−0.604197	+	0.796835i	$0.706506\pi$
$6$	−0.936252	+	1.05992i	−0.382223	+	0.432711i
$7$	−2.22530	−	1.43110i	−0.841084	−	0.540904i
$7$	−2.22530	−	1.43110i	−0.841084	−	0.540904i
$8$	0.522007	+	2.77984i	0.184557	+	0.982822i
$9$	0.866025	−	0.500000i	0.288675	−	0.166667i
$10$	2.26279	−	0.759099i	0.715556	−	0.240048i
$11$	−0.0320168	−	0.119488i	−0.00965344	−	0.0360271i	0.960931	−	0.276788i	$-0.0892698\pi$
$11$	−0.0320168	−	0.119488i	−0.00965344	−	0.0360271i	−0.970585	+	0.240760i	$0.922603\pi$
$12$	0.275227	−	1.98097i	0.0794513	−	0.571857i
$13$	−3.88035	−	3.88035i	−1.07621	−	1.07621i	−0.996845	−	0.0793690i	$-0.974709\pi$
$13$	−3.88035	−	3.88035i	−1.07621	−	1.07621i	−0.0793690	−	0.996845i	$-0.525291\pi$
$14$	3.74129	−	0.0522342i	0.999903	−	0.0139602i
$15$	−1.68767			−0.435753
$16$	−2.78768	−	2.86859i	−0.696920	−	0.717149i
$17$	0.0515689	−	0.0893200i	0.0125073	−	0.0216633i	−0.859704	−	0.510793i	$-0.829352\pi$
$17$	0.0515689	−	0.0893200i	0.0125073	−	0.0216633i	0.872211	+	0.489129i	$0.162685\pi$
$18$	−0.630022	+	1.26612i	−0.148498	+	0.298428i
$19$	0.855270	−	3.19191i	0.196212	−	0.732274i	−0.795737	−	0.605642i	$-0.792916\pi$
$19$	0.855270	−	3.19191i	0.196212	−	0.732274i	0.991950	−	0.126633i	$-0.0404169\pi$
$20$	−2.07387	+	2.66307i	−0.463732	+	0.595480i
$21$	−2.51987	−	0.806385i	−0.549881	−	0.175968i
$22$	0.131116	+	0.115818i	0.0279540	+	0.0246924i
$23$	−5.38399	+	3.10845i	−1.12264	+	0.648157i	−0.942074	−	0.335406i	$-0.891126\pi$
$23$	−5.38399	+	3.10845i	−1.12264	+	0.648157i	−0.180567	+	0.983563i	$0.557793\pi$
$24$	1.22370	+	2.55001i	0.249786	+	0.520519i
$25$	−1.86350	−	1.07589i	−0.372700	−	0.215179i
$26$	7.60611	+	1.54125i	1.49168	+	0.302263i
$27$	0.707107	−	0.707107i	0.136083	−	0.136083i
$28$	−4.36896	+	2.98533i	−0.825656	+	0.564175i
$29$	−2.66015	−	2.66015i	−0.493977	−	0.493977i	0.415580	−	0.909557i	$-0.363579\pi$
$29$	−2.66015	−	2.66015i	−0.493977	−	0.493977i	−0.909557	+	0.415580i	$0.863579\pi$
$30$	1.98921	−	1.31888i	0.363179	−	0.240794i
$31$	2.17434	−	3.76607i	0.390523	−	0.676406i	−0.601995	−	0.798500i	$-0.705627\pi$
$31$	2.17434	−	3.76607i	0.390523	−	0.676406i	0.992519	+	0.122093i	$0.0389607\pi$
$32$	5.52754	+	1.20262i	0.977140	+	0.212595i
$33$	−0.0618518	−	0.107130i	−0.0107670	−	0.0186490i
$34$	0.00901909	+	0.145580i	0.00154676	+	0.0249667i
$35$	3.00249	+	3.30493i	0.507513	+	0.558635i
$36$	−0.246864	−	1.98471i	−0.0411440	−	0.330784i
$37$	8.88833	+	2.38162i	1.46123	+	0.391536i	0.899915	−	0.436065i	$-0.143628\pi$
$37$	8.88833	+	2.38162i	1.46123	+	0.391536i	0.561317	+	0.827601i	$0.310295\pi$
$38$	1.48634	+	4.43061i	0.241117	+	0.718741i
$39$	−4.75243	−	2.74382i	−0.760998	−	0.439363i
$40$	0.363280	−	4.75959i	0.0574396	−	0.752558i
$41$		−	7.82242i		−	1.22166i	−0.791763	−	0.610828i	$-0.790836\pi$
$41$		−	7.82242i		−	1.22166i	0.791763	−	0.610828i	$-0.209164\pi$
$42$	3.60029	−	1.01877i	0.555537	−	0.157200i
$43$	−0.793700	+	0.793700i	−0.121038	+	0.121038i	−0.765031	−	0.643993i	$-0.777277\pi$
$43$	−0.793700	+	0.793700i	−0.121038	+	0.121038i	0.643993	+	0.765031i	$0.277277\pi$
$44$	−0.245053	−	0.0340466i	−0.0369432	−	0.00513272i
$45$	−1.63016	+	0.436800i	−0.243010	+	0.0651143i
$46$	3.91679	−	7.87137i	0.577499	−	1.16057i
$47$	1.78253	+	3.08744i	0.260009	+	0.450349i	0.966244	−	0.257628i	$-0.0829410\pi$
$47$	1.78253	+	3.08744i	0.260009	+	0.450349i	−0.706235	+	0.707978i	$0.749608\pi$
$48$	−3.43514	−	2.04935i	−0.495820	−	0.295797i
$49$	2.90392	+	6.36924i	0.414845	+	0.909892i
$50$	3.03726	−	0.188167i	0.429534	−	0.0266108i
$51$	0.0266940	−	0.0996235i	0.00373791	−	0.0139501i
$52$	−10.1696	+	4.12743i	−1.41027	+	0.572371i
$53$	−3.15822	−	11.7866i	−0.433814	−	1.61902i	−0.743888	−	0.668304i	$-0.767020\pi$
$53$	−3.15822	−	11.7866i	−0.433814	−	1.61902i	0.310074	−	0.950712i	$-0.399646\pi$
$54$	−0.280858	+	1.38604i	−0.0382199	+	0.188617i
$55$			0.208770i			0.0281506i
$56$	2.81660	−	6.93302i	0.376384	−	0.926464i
$57$		−	3.30451i		−	0.437693i
$58$	5.21432	+	1.05659i	0.684674	+	0.138737i
$59$	1.76351	+	6.58151i	0.229589	+	0.856839i	0.980514	+	0.196451i	$0.0629416\pi$
$59$	1.76351	+	6.58151i	0.229589	+	0.856839i	−0.750924	+	0.660388i	$0.770392\pi$
$60$	−1.31395	+	3.10908i	−0.169631	+	0.401381i
$61$	1.64166	−	6.12674i	0.210192	−	0.784449i	−0.777611	−	0.628745i	$-0.783569\pi$
$61$	1.64166	−	6.12674i	0.210192	−	0.784449i	0.987804	−	0.155704i	$-0.0497645\pi$
$62$	0.380279	+	6.13820i	0.0482955	+	0.779552i
$63$	−2.64272	−	0.126718i	−0.332951	−	0.0159649i
$64$	−7.45502	+	2.90219i	−0.931877	+	0.362774i
$65$	4.63065	+	8.02052i	0.574361	+	0.994823i
$66$	0.156624	+	0.0779360i	0.0192791	+	0.00959326i
$67$	−3.39177	+	0.908823i	−0.414371	+	0.111030i	−0.459981	−	0.887929i	$-0.652144\pi$
$67$	−3.39177	+	0.908823i	−0.414371	+	0.111030i	0.0456095	+	0.998959i	$0.485477\pi$
$68$	−0.124399	−	0.164543i	−0.0150856	−	0.0199538i
$69$	−4.39601	+	4.39601i	−0.529218	+	0.529218i
$70$	−6.12172	−	1.54905i	−0.731685	−	0.185146i
$71$			11.8749i			1.40930i	0.709557	+	0.704648i	$0.248895\pi$
$71$			11.8749i			1.40930i	−0.709557	+	0.704648i	$0.751105\pi$
$72$	1.84199	+	2.14641i	0.217081	+	0.252957i
$73$	8.37816	+	4.83713i	0.980590	+	0.566144i	0.902448	−	0.430798i	$-0.141768\pi$
$73$	8.37816	+	4.83713i	0.980590	+	0.566144i	0.0781416	+	0.996942i	$0.475101\pi$
$74$	−12.3377	+	4.13893i	−1.43423	+	0.481141i
$75$	−2.07847	−	0.556923i	−0.240001	−	0.0643080i
$76$	−5.21438	−	4.06071i	−0.598130	−	0.465796i
$77$	−0.0997527	+	0.311717i	−0.0113679	+	0.0355234i
$78$	7.74584	−	0.479877i	0.877044	−	0.0543354i
$79$	7.10979	+	12.3145i	0.799913	+	1.38549i	0.919672	+	0.392688i	$0.128455\pi$
$79$	7.10979	+	12.3145i	0.799913	+	1.38549i	−0.119759	+	0.992803i	$0.538212\pi$
$80$	3.29136	+	5.89393i	0.367985	+	0.658961i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	6.11310	+	9.22011i	0.675079	+	1.01819i
$83$	3.85826	+	3.85826i	0.423499	+	0.423499i	0.886406	−	0.462908i	$-0.153194\pi$
$83$	3.85826	+	3.85826i	0.423499	+	0.423499i	−0.462908	+	0.886406i	$0.653194\pi$
$84$	−3.44743	+	4.01438i	−0.376145	+	0.438005i
$85$	−0.123081	+	0.123081i	−0.0133500	+	0.0133500i
$86$	0.315252	−	1.55578i	0.0339945	−	0.167764i
$87$	−3.25800	−	1.88101i	−0.349294	−	0.201665i
$88$	0.315446	−	0.151375i	0.0336266	−	0.0161367i
$89$	2.98637	−	1.72418i	0.316555	−	0.182763i	−0.333301	−	0.942820i	$-0.608163\pi$
$89$	2.98637	−	1.72418i	0.316555	−	0.182763i	0.649856	+	0.760057i	$0.274829\pi$
$90$	1.58008	−	1.78879i	0.166555	−	0.188555i
$91$	3.08178	+	14.1881i	0.323058	+	1.48732i
$92$	1.53473	+	12.3387i	0.160006	+	1.28640i
$93$	1.12552	−	4.20051i	0.116711	−	0.435572i
$94$	−4.51382	−	2.24607i	−0.465565	−	0.231665i
$95$	−2.78845	+	4.82974i	−0.286089	+	0.495521i
$96$	5.65046	−	0.268992i	0.576697	−	0.0274539i
$97$	−16.7914			−1.70491			−0.852454	−	0.522802i	$-0.824887\pi$
$97$	−16.7914			−1.70491			−0.852454	+	0.522802i	$0.824887\pi$
$98$	−8.40025	−	5.23792i	−0.848553	−	0.529110i
$99$	−0.0874716	−	0.0874716i	−0.00879123	−	0.00879123i
$100$	−3.43290	+	2.59536i	−0.343290	+	0.259536i
$101$	−4.06013	−	15.1526i	−0.403999	−	1.50774i	−0.805895	−	0.592058i	$-0.798316\pi$
$101$	−4.06013	−	15.1526i	−0.403999	−	1.50774i	0.401897	−	0.915685i	$-0.368351\pi$
$102$	0.0463906	+	0.138285i	0.00459336	+	0.0136923i
$103$	−9.96503	+	5.75331i	−0.981883	+	0.566891i	−0.902838	−	0.429981i	$-0.858520\pi$
$103$	−9.96503	+	5.75331i	−0.981883	+	0.566891i	−0.0790450	+	0.996871i	$0.525187\pi$
$104$	8.76117	−	12.8123i	0.859104	−	1.25635i
$105$	3.75556	+	2.41521i	0.366505	+	0.235701i
$106$	12.9336	+	11.4245i	1.25622	+	1.10965i
$107$	−4.44722	−	1.19163i	−0.429929	−	0.115199i	0.0373637	−	0.999302i	$-0.488104\pi$
$107$	−4.44722	−	1.19163i	−0.429929	−	0.115199i	−0.467293	+	0.884103i	$0.654771\pi$
$108$	−0.752132	−	1.85319i	−0.0723739	−	0.178323i
$109$	7.22537	−	1.93603i	0.692065	−	0.185438i	0.104391	−	0.994536i	$-0.466711\pi$
$109$	7.22537	−	1.93603i	0.692065	−	0.185438i	0.587674	+	0.809098i	$0.300044\pi$
$110$	−0.163151	−	0.246073i	−0.0155558	−	0.0234621i
$111$	9.20188			0.873403
$112$	2.09818	+	10.3729i	0.198260	+	0.980150i
$113$	−7.87902			−0.741196			−0.370598	−	0.928793i	$-0.620847\pi$
$113$	−7.87902			−0.741196			−0.370598	+	0.928793i	$0.620847\pi$
$114$	2.58242	+	3.89495i	0.241866	+	0.364796i
$115$	10.1345	−	2.71554i	0.945051	−	0.253226i
$116$	−6.97171	+	2.82953i	−0.647307	+	0.262715i
$117$	−5.30065	−	1.42031i	−0.490045	−	0.131307i
$118$	−7.22196	−	6.37932i	−0.664835	−	0.587264i
$119$	−0.242582	+	0.124964i	−0.0222375	+	0.0114554i
$120$	−0.880972	−	4.69144i	−0.0804214	−	0.428268i
$121$	9.51303	−	5.49235i	0.864821	−	0.499304i
$122$	2.85297	+	8.50438i	0.258296	+	0.769951i
$123$	−2.02459	−	7.55588i	−0.182551	−	0.681291i
$124$	−5.24514	−	6.93778i	−0.471027	−	0.623031i
$125$	8.53465	+	8.53465i	0.763362	+	0.763362i
$126$	3.21394	−	1.91588i	0.286320	−	0.170680i
$127$	−3.44200			−0.305429			−0.152714	−	0.988270i	$-0.548801\pi$
$127$	−3.44200			−0.305429			−0.152714	+	0.988270i	$0.548801\pi$
$128$	6.51905	−	9.24673i	0.576208	−	0.817303i
$129$	−0.561230	+	0.972080i	−0.0494136	+	0.0855868i
$130$	−11.7260	−	5.83482i	−1.02843	−	0.511748i
$131$	3.35250	−	12.5117i	0.292909	−	1.09315i	−0.649955	−	0.759973i	$-0.725212\pi$
$131$	3.35250	−	12.5117i	0.292909	−	1.09315i	0.942864	−	0.333178i	$-0.108121\pi$
$132$	−0.245515	+	0.0305380i	−0.0213694	+	0.00265799i
$133$	−6.47117	+	5.87898i	−0.561122	+	0.509772i
$134$	3.28758	−	3.72183i	0.284003	−	0.321517i
$135$	−1.46156	+	0.843833i	−0.125791	+	0.0726255i
$136$	0.275215	+	0.0967277i	0.0235995	+	0.00829433i
$137$	2.01253	+	1.16193i	0.171942	+	0.0992707i	0.583501	−	0.812112i	$-0.301682\pi$
$137$	2.01253	+	1.16193i	0.171942	+	0.0992707i	−0.411559	+	0.911383i	$0.635016\pi$
$138$	1.74606	−	8.61690i	0.148635	−	0.733519i
$139$	9.76365	−	9.76365i	0.828142	−	0.828142i	−0.159118	−	0.987260i	$-0.550865\pi$
$139$	9.76365	−	9.76365i	0.828142	−	0.828142i	0.987260	+	0.159118i	$0.0508650\pi$
$140$	8.42609	−	2.95821i	0.712135	−	0.250014i
$141$	2.52088	+	2.52088i	0.212297	+	0.212297i
$142$	−9.28008	−	13.9967i	−0.778767	−	1.17458i
$143$	−0.339420	+	0.587893i	−0.0283837	+	0.0491621i
$144$	−3.84850	−	1.09044i	−0.320708	−	0.0908697i
$145$	3.17451	+	5.49841i	0.263629	+	0.456618i
$146$	−13.6553	+	0.845985i	−1.13012	+	0.0700142i
$147$	4.45345	+	5.40063i	0.367314	+	0.445436i
$148$	11.3076	−	14.5202i	0.929482	−	1.19355i
$149$	3.28977	+	0.881490i	0.269508	+	0.0722145i	0.391042	−	0.920373i	$-0.372115\pi$
$149$	3.28977	+	0.881490i	0.269508	+	0.0722145i	−0.121534	+	0.992587i	$0.538781\pi$
$150$	2.88507	−	0.967857i	0.235565	−	0.0790252i
$151$	2.57556	+	1.48700i	0.209596	+	0.121010i	0.601124	−	0.799156i	$-0.294720\pi$
$151$	2.57556	+	1.48700i	0.209596	+	0.121010i	−0.391528	+	0.920166i	$0.628053\pi$
$152$	9.31946	+	0.711315i	0.755908	+	0.0576952i
$153$		−	0.103138i		−	0.00833820i
$154$	−0.126026	−	0.445369i	−0.0101554	−	0.0358889i
$155$	−5.18954	+	5.18954i	−0.416834	+	0.416834i
$156$	−8.75483	+	6.61888i	−0.700948	+	0.529934i
$157$	7.11322	−	1.90598i	0.567697	−	0.152114i	0.0364566	−	0.999335i	$-0.488393\pi$
$157$	7.11322	−	1.90598i	0.567697	−	0.152114i	0.531240	+	0.847221i	$0.321726\pi$
$158$	−18.0038	−	8.95865i	−1.43230	−	0.712712i
$159$	−6.10120	−	10.5676i	−0.483857	−	0.838065i
$160$	−8.48547	−	4.37489i	−0.670835	−	0.345865i
$161$	16.4295	+	0.787792i	1.29483	+	0.0620867i
$162$	0.0874469	+	1.41151i	0.00687048	+	0.110898i
$163$	4.69543	−	17.5236i	0.367774	−	1.37255i	−0.495846	−	0.868410i	$-0.665142\pi$
$163$	4.69543	−	17.5236i	0.367774	−	1.37255i	0.863621	−	0.504142i	$-0.168191\pi$
$164$	−14.4108	−	6.09024i	−1.12529	−	0.475568i
$165$	0.0540337	+	0.201657i	0.00420652	+	0.0156989i
$166$	−7.56281	−	1.53247i	−0.586988	−	0.118943i
$167$		−	7.46904i		−	0.577971i	−0.957333	−	0.288986i	$-0.906682\pi$
$167$		−	7.46904i		−	0.577971i	0.957333	−	0.288986i	$-0.0933180\pi$
$168$	0.926232	−	7.42577i	0.0714604	−	0.572911i
$169$			17.1142i			1.31647i
$170$	0.0488867	−	0.241258i	0.00374944	−	0.0185036i
$171$	−0.855270	−	3.19191i	−0.0654041	−	0.244091i
$172$	0.844239	+	2.08013i	0.0643726	+	0.158608i
$173$	4.70704	−	17.5669i	0.357869	−	1.33559i	−0.518965	−	0.854795i	$-0.673683\pi$
$173$	4.70704	−	17.5669i	0.357869	−	1.33559i	0.876835	−	0.480792i	$-0.159651\pi$
$174$	5.31011	−	0.328977i	0.402559	−	0.0249397i
$175$	2.60714	+	5.06104i	0.197081	+	0.382579i
$176$	−0.253511	+	0.424939i	−0.0191091	+	0.0320310i
$177$	3.40684	+	5.90082i	0.256074	+	0.443532i
$178$	−2.17255	+	4.36606i	−0.162839	+	0.327250i
$179$	−7.89100	+	2.11439i	−0.589801	+	0.158037i	−0.541362	−	0.840789i	$-0.682091\pi$
$179$	−7.89100	+	2.11439i	−0.589801	+	0.158037i	−0.0484389	+	0.998826i	$0.515425\pi$
$180$	−0.464492	+	3.34322i	−0.0346212	+	0.249189i
$181$	7.34788	−	7.34788i	0.546163	−	0.546163i	−0.379166	−	0.925329i	$-0.623789\pi$
$181$	7.34788	−	7.34788i	0.546163	−	0.546163i	0.925329	+	0.379166i	$0.123789\pi$
$182$	−14.7202	−	14.3148i	−1.09113	−	1.06109i
$183$		−	6.34287i		−	0.468878i
$184$	−11.4515	−	13.3440i	−0.844214	−	0.983733i
$185$	−13.4491	−	7.76484i	−0.988798	−	0.570883i
$186$	1.95600	+	5.83062i	0.143421	+	0.427522i
$187$	−0.0123238	−	0.00330215i	−0.000901205	−	0.000241477i
$188$	7.07561	−	0.880087i	0.516042	−	0.0641869i
$189$	−2.58546	+	0.561585i	−0.188065	+	0.0408493i
$190$	−0.487683	−	7.87184i	−0.0353803	−	0.571083i
$191$	−11.4751	−	19.8755i	−0.830311	−	1.43814i	−0.897792	−	0.440420i	$-0.854830\pi$
$191$	−11.4751	−	19.8755i	−0.830311	−	1.43814i	0.0674815	−	0.997721i	$-0.478504\pi$
$192$	−6.44985	+	4.73280i	−0.465478	+	0.341560i
$193$	−4.23257	+	7.33103i	−0.304667	+	0.527699i	−0.977187	−	0.212380i	$-0.931879\pi$
$193$	−4.23257	+	7.33103i	−0.304667	+	0.527699i	0.672520	+	0.740079i	$0.265212\pi$
$194$	19.7917	−	13.1222i	1.42096	−	0.942121i
$195$	6.54872	+	6.54872i	0.468964	+	0.468964i
$196$	13.9945	−	0.390847i	0.999610	−	0.0279176i
$197$	−17.4061	+	17.4061i	−1.24013	+	1.24013i	−0.280190	+	0.959945i	$0.590397\pi$
$197$	−17.4061	+	17.4061i	−1.24013	+	1.24013i	−0.959945	+	0.280190i	$0.909603\pi$
$198$	0.171459	+	0.0347431i	0.0121850	+	0.00246909i
$199$	2.12979	+	1.22963i	0.150977	+	0.0871665i	0.573585	−	0.819146i	$-0.305552\pi$
$199$	2.12979	+	1.22963i	0.150977	+	0.0871665i	−0.422608	+	0.906312i	$0.638885\pi$
$200$	2.01805	−	5.74186i	0.142698	−	0.406011i
$201$	−3.04098	+	1.75571i	−0.214494	+	0.123838i
$202$	16.6271	+	14.6871i	1.16988	+	1.03338i
$203$	2.11269	+	9.72655i	0.148282	+	0.682670i
$204$	−0.162747	−	0.126740i	−0.0113946	−	0.00887357i
$205$	−3.41683	+	12.7518i	−0.238642	+	0.890624i
$206$	7.24943	−	14.5688i	0.505092	−	1.01506i
$207$	−3.10845	+	5.38399i	−0.216052	+	0.374213i
$208$	−0.313976	+	21.9483i	−0.0217703	+	1.52184i
$209$	−0.408780			−0.0282759
$210$	−6.31405	+	0.0881538i	−0.435711	+	0.00608319i
$211$	0.156776	+	0.156776i	0.0107929	+	0.0107929i	0.712483	−	0.701690i	$-0.247571\pi$
$211$	0.156776	+	0.156776i	0.0107929	+	0.0107929i	−0.701690	+	0.712483i	$0.747571\pi$
$212$	−24.1726	−	3.35844i	−1.66018	−	0.230658i
$213$	3.07346	+	11.4703i	0.210590	+	0.785932i
$214$	6.17308	−	2.07089i	0.421983	−	0.141563i
$215$	1.64054	−	0.947169i	0.111884	−	0.0645964i
$216$	2.33476	+	1.59653i	0.158860	+	0.108630i
$217$	−10.2282	+	5.26894i	−0.694334	+	0.357679i
$218$	−7.00340	+	7.92847i	−0.474330	+	0.536984i
$219$	9.34463	+	2.50389i	0.631451	+	0.169197i
$220$	0.384604	+	0.162541i	0.0259300	+	0.0109585i
$221$	−0.546698	+	0.146487i	−0.0367749	+	0.00985380i
$222$	−10.8460	+	7.19113i	−0.727939	+	0.482637i
$223$	20.1591			1.34995			0.674975	−	0.737840i	$-0.264154\pi$
$223$	20.1591			1.34995			0.674975	+	0.737840i	$0.264154\pi$
$224$	−10.5794	−	10.5866i	−0.706864	−	0.707350i
$225$	−2.15179			−0.143452
$226$	9.28682	−	6.15733i	0.617750	−	0.409580i
$227$	20.1725	−	5.40520i	1.33889	−	0.358756i	0.482871	−	0.875692i	$-0.339594\pi$
$227$	20.1725	−	5.40520i	1.33889	−	0.358756i	0.856024	+	0.516936i	$0.172927\pi$
$228$	−6.08769	−	2.57277i	−0.403167	−	0.170386i
$229$	1.52564	+	0.408793i	0.100817	+	0.0270138i	0.308875	−	0.951103i	$-0.400048\pi$
$229$	1.52564	+	0.408793i	0.100817	+	0.0270138i	−0.208058	+	0.978117i	$0.566714\pi$
$230$	−9.82320	+	11.1207i	−0.647723	+	0.733280i
$231$	−0.0156754	+	0.326913i	−0.00103137	+	0.0215093i
$232$	6.00617	−	8.78340i	0.394324	−	0.576658i
$233$	0.208081	−	0.120135i	0.0136318	−	0.00787034i	−0.493169	−	0.869934i	$-0.664161\pi$
$233$	0.208081	−	0.120135i	0.0136318	−	0.00787034i	0.506800	+	0.862063i	$0.330828\pi$
$234$	7.35771	−	2.46830i	0.480988	−	0.161358i
$235$	−1.55722	−	5.81163i	−0.101582	−	0.379109i
$236$	13.4977	+	1.87531i	0.878625	+	0.122072i
$237$	10.0548	+	10.0548i	0.653127	+	0.653127i
$238$	0.188269	−	0.336866i	0.0122037	−	0.0218358i
$239$	−19.4728			−1.25959			−0.629794	−	0.776762i	$-0.716861\pi$
$239$	−19.4728			−1.25959			−0.629794	+	0.776762i	$0.716861\pi$
$240$	4.70467	+	4.84123i	0.303685	+	0.312500i
$241$	7.89042	−	13.6666i	0.508267	−	0.880344i	−0.491688	−	0.870772i	$-0.663620\pi$
$241$	7.89042	−	13.6666i	0.508267	−	0.880344i	0.999954	−	0.00957192i	$-0.00304688\pi$
$242$	−6.92061	+	13.9080i	−0.444873	+	0.894040i
$243$	0.258819	−	0.965926i	0.0166032	−	0.0619642i
$244$	−10.0088	−	7.79437i	−0.640747	−	0.498983i
$245$	−1.95176	−	11.6513i	−0.124693	−	0.744375i
$246$	8.29115	+	7.32376i	0.528624	+	0.466946i
$247$	−15.7045	+	9.06697i	−0.999251	+	0.576918i
$248$	11.6041	+	4.07841i	0.736861	+	0.258979i
$249$	4.72538	+	2.72820i	0.299459	+	0.172893i
$250$	−16.7293	−	3.38990i	−1.05805	−	0.214396i
$251$	1.93751	−	1.93751i	0.122294	−	0.122294i	−0.643311	−	0.765605i	$-0.722440\pi$
$251$	1.93751	−	1.93751i	0.122294	−	0.122294i	0.765605	+	0.643311i	$0.222440\pi$
$252$	−2.29096	+	4.76985i	−0.144317	+	0.300472i
$253$	0.543802	+	0.543802i	0.0341886	+	0.0341886i
$254$	4.05701	−	2.68987i	0.254560	−	0.168778i
$255$	−0.0870311	+	0.150742i	−0.00545010	+	0.00943985i
$256$	−0.457674	+	15.9935i	−0.0286047	+	0.999591i
$257$	−1.93127	−	3.34505i	−0.120469	−	0.208659i	0.799484	−	0.600688i	$-0.205107\pi$
$257$	−1.93127	−	3.34505i	−0.120469	−	0.208659i	−0.919953	+	0.392029i	$0.871773\pi$
$258$	−0.0981557	−	1.58436i	−0.00611091	−	0.0986381i
$259$	−16.3709	−	18.0199i	−1.01724	−	1.11970i
$260$	18.3809	−	2.28628i	1.13994	−	0.141789i
$261$	−3.63383	−	0.973681i	−0.224928	−	0.0602694i
$262$	5.82618	+	17.3672i	0.359943	+	1.07295i
$263$	24.7833	+	14.3086i	1.52820	+	0.882309i	0.999437	+	0.0335411i	$0.0106785\pi$
$263$	24.7833	+	14.3086i	1.52820	+	0.882309i	0.528766	+	0.848768i	$0.322655\pi$
$264$	0.265518	−	0.227861i	0.0163415	−	0.0140239i
$265$			20.5936i			1.26505i
$266$	3.03309	−	11.9865i	0.185971	−	0.734942i
$267$	2.43836	−	2.43836i	0.149225	−	0.149225i
$268$	−0.966440	+	6.95603i	−0.0590347	+	0.424907i
$269$	−12.3604	+	3.31195i	−0.753625	+	0.201933i	−0.615125	−	0.788429i	$-0.710895\pi$
$269$	−12.3604	+	3.31195i	−0.753625	+	0.201933i	−0.138500	+	0.990362i	$0.544228\pi$
$270$	1.06327	−	2.13679i	0.0647084	−	0.130041i
$271$	10.5175	+	18.2168i	0.638892	+	1.10659i	0.985676	+	0.168648i	$0.0539401\pi$
$271$	10.5175	+	18.2168i	0.638892	+	1.10659i	−0.346785	+	0.937945i	$0.612727\pi$
$272$	−0.399981	+	0.101065i	−0.0242524	+	0.00612798i
$273$	6.64891	+	12.9070i	0.402411	+	0.781168i
$274$	−3.28016	+	0.203215i	−0.198161	+	0.0122767i
$275$	−0.0688934	+	0.257114i	−0.00415443	+	0.0155045i
$276$	4.67593	+	11.5211i	0.281458	+	0.693487i
$277$	−8.50264	−	31.7323i	−0.510874	−	1.90661i	−0.411080	−	0.911599i	$-0.634848\pi$
$277$	−8.50264	−	31.7323i	−0.510874	−	1.90661i	−0.0997937	−	0.995008i	$-0.531818\pi$
$278$	−3.87805	+	19.1383i	−0.232590	+	1.14784i
$279$		−	4.34868i		−	0.260349i
$280$	−7.61985	+	10.0716i	−0.455373	+	0.601895i
$281$		−	23.1923i		−	1.38354i	−0.722120	−	0.691768i	$-0.756832\pi$
$281$		−	23.1923i		−	1.38354i	0.722120	−	0.691768i	$-0.243168\pi$
$282$	−4.94134	−	1.00128i	−0.294253	−	0.0596252i
$283$	−3.46652	−	12.9372i	−0.206063	−	0.769038i	−0.989123	−	0.147092i	$-0.953009\pi$
$283$	−3.46652	−	12.9372i	−0.206063	−	0.769038i	0.783060	−	0.621947i	$-0.213658\pi$
$284$	21.8764	+	9.24538i	1.29813	+	0.548612i
$285$	−1.44341	+	5.38688i	−0.0855002	+	0.319091i
$286$	−0.0593625	−	0.958188i	−0.00351018	−	0.0566589i
$287$	−11.1947	+	17.4072i	−0.660800	+	1.02752i
$288$	5.38830	−	1.72227i	0.317509	−	0.101486i
$289$	8.49468	+	14.7132i	0.499687	+	0.865484i
$290$	−8.03865	−	4.00003i	−0.472046	−	0.234890i
$291$	−16.2193	+	4.34593i	−0.950789	+	0.254763i
$292$	15.4341	−	11.6686i	0.903211	−	0.682851i
$293$	−0.436102	+	0.436102i	−0.0254773	+	0.0254773i	−0.719731	−	0.694253i	$-0.755735\pi$
$293$	−0.436102	+	0.436102i	−0.0254773	+	0.0254773i	0.694253	+	0.719731i	$0.255735\pi$
$294$	−9.46969	−	2.88530i	−0.552284	−	0.168274i
$295$		−	11.4992i		−	0.669509i
$296$	−1.98076	+	25.9514i	−0.115129	+	1.50839i
$297$	−0.107130	−	0.0618518i	−0.00621634	−	0.00358901i
$298$	−4.56644	+	1.53191i	−0.264527	+	0.0887411i
$299$	32.9536	+	8.82990i	1.90576	+	0.510646i
$300$	−2.64420	+	3.39543i	−0.152663	+	0.196035i
$301$	2.90208	−	0.630357i	0.167273	−	0.0363332i
$302$	−4.19782	+	0.260067i	−0.241557	+	0.0149652i
$303$	−7.84358	−	13.5855i	−0.450602	−	0.780465i
$304$	−11.5405	+	6.44460i	−0.661894	+	0.369623i
$305$	−5.35232	+	9.27049i	−0.306473	+	0.530827i
$306$	0.0806007	+	0.121566i	0.00460763	+	0.00694948i
$307$	−17.9528	−	17.9528i	−1.02462	−	1.02462i	−0.999689	−	0.0249294i	$-0.992064\pi$
$307$	−17.9528	−	17.9528i	−1.02462	−	1.02462i	−0.0249294	−	0.999689i	$-0.507936\pi$
$308$	0.496593	+	0.426459i	0.0282960	+	0.0242998i
$309$	−8.13641	+	8.13641i	−0.462864	+	0.462864i
$310$	2.06125	−	10.1723i	0.117071	−	0.577751i
$311$	−28.1309	−	16.2414i	−1.59516	−	0.920966i	−0.992402	−	0.123041i	$-0.960735\pi$
$311$	−28.1309	−	16.2414i	−1.59516	−	0.920966i	−0.602758	−	0.797924i	$-0.705931\pi$
$312$	5.14657	−	14.6433i	0.291367	−	0.829013i
$313$	−20.9903	+	12.1187i	−1.18644	+	0.684991i	−0.957496	−	0.288448i	$-0.906861\pi$
$313$	−20.9903	+	12.1187i	−1.18644	+	0.684991i	−0.228944	+	0.973439i	$0.573527\pi$
$314$	−6.89470	+	7.80541i	−0.389090	+	0.440485i
$315$	4.25270	+	1.36091i	0.239612	+	0.0766785i
$316$	28.2217	−	3.51030i	1.58759	−	0.197470i
$317$	−7.07657	+	26.4101i	−0.397460	+	1.48334i	0.420090	+	0.907482i	$0.361998\pi$
$317$	−7.07657	+	26.4101i	−0.397460	+	1.48334i	−0.817550	+	0.575858i	$0.804668\pi$
$318$	15.4498	+	7.68779i	0.866380	+	0.431110i
$319$	−0.232687	+	0.403026i	−0.0130280	+	0.0225651i
$320$	13.4205	−	1.47468i	0.750231	−	0.0824372i
$321$	−4.60410			−0.256976
$322$	−19.9807	+	11.9109i	−1.11348	+	0.663766i
$323$	−0.240996	−	0.240996i	−0.0134094	−	0.0134094i
$324$	−1.20614	−	1.59537i	−0.0670080	−	0.0886319i
$325$	3.05619	+	11.4059i	0.169527	+	0.632684i
$326$	8.16002	+	24.3241i	0.451941	+	1.34719i
$327$	6.47809	−	3.74013i	0.358239	−	0.206829i
$328$	21.7451	−	4.08336i	1.20067	−	0.225466i
$329$	0.451757	−	9.42146i	0.0249062	−	0.519422i
$330$	−0.221280	−	0.195462i	−0.0121811	−	0.0107598i
$331$	−23.4786	−	6.29108i	−1.29050	−	0.345789i	−0.452651	−	0.891688i	$-0.649521\pi$
$331$	−23.4786	−	6.29108i	−1.29050	−	0.345789i	−0.837851	+	0.545899i	$0.816188\pi$
$332$	10.1117	−	4.10393i	0.554953	−	0.225233i
$333$	8.88833	−	2.38162i	0.487077	−	0.130512i
$334$	5.83694	+	8.80359i	0.319383	+	0.481711i
$335$	5.92611			0.323778
$336$	4.71140	+	9.47643i	0.257028	+	0.516982i
$337$	−10.5085			−0.572436			−0.286218	−	0.958165i	$-0.592398\pi$
$337$	−10.5085			−0.572436			−0.286218	+	0.958165i	$0.592398\pi$
$338$	−13.3745	−	20.1721i	−0.727475	−	1.09722i
$339$	−7.61055	+	2.03924i	−0.413348	+	0.110756i
$340$	0.130918	+	0.322570i	0.00710001	+	0.0174938i
$341$	−0.519618	−	0.139231i	−0.0281389	−	0.00753979i
$342$	3.50252	+	3.09385i	0.189394	+	0.167296i
$343$	2.65293	−	18.3293i	0.143245	−	0.989687i
$344$	−2.62067	−	1.79204i	−0.141297	−	0.0966204i
$345$	9.08638	−	5.24602i	0.489194	−	0.282436i
$346$	8.18019	+	24.3842i	0.439770	+	1.31090i
$347$	1.42988	+	5.33640i	0.0767602	+	0.286473i	0.993627	−	0.112721i	$-0.0359566\pi$
$347$	1.42988	+	5.33640i	0.0767602	+	0.286473i	−0.916866	+	0.399194i	$0.869290\pi$
$348$	−6.00182	+	4.53753i	−0.321731	+	0.243237i
$349$	−15.6808	−	15.6808i	−0.839374	−	0.839374i	0.149403	−	0.988776i	$-0.452265\pi$
$349$	−15.6808	−	15.6808i	−0.839374	−	0.839374i	−0.988776	+	0.149403i	$0.952265\pi$
$350$	−7.02810	−	3.92789i	−0.375668	−	0.209955i
$351$	−5.48764			−0.292908
$352$	−0.0332753	−	0.698982i	−0.00177358	−	0.0372558i
$353$	5.65204	−	9.78962i	0.300828	−	0.521049i	−0.675496	−	0.737364i	$-0.736070\pi$
$353$	5.65204	−	9.78962i	0.300828	−	0.521049i	0.976324	+	0.216315i	$0.0694038\pi$
$354$	−8.62696	−	4.29277i	−0.458518	−	0.228158i
$355$	5.18697	−	19.3580i	0.275296	−	1.02742i
$356$	−0.851277	−	6.84399i	−0.0451176	−	0.362731i
$357$	−0.201973	+	0.183490i	−0.0106896	+	0.00971134i
$358$	7.64859	−	8.65888i	0.404240	−	0.457636i
$359$	25.7294	−	14.8549i	1.35795	−	0.784011i	0.368600	−	0.929588i	$-0.379837\pi$
$359$	25.7294	−	14.8549i	1.35795	−	0.784011i	0.989347	+	0.145577i	$0.0465039\pi$
$360$	−2.06519	−	4.30357i	−0.108845	−	0.226818i
$361$	6.99768	+	4.04011i	0.368299	+	0.212637i
$362$	−2.91852	+	14.4030i	−0.153394	+	0.757007i
$363$	7.76735	−	7.76735i	0.407680	−	0.407680i
$364$	28.5372	+	5.36895i	1.49576	+	0.281410i
$365$	−11.5449	−	11.5449i	−0.604287	−	0.604287i
$366$	4.95686	+	7.47620i	0.259099	+	0.390787i
$367$	10.0872	−	17.4715i	0.526546	−	0.912004i	−0.472976	−	0.881075i	$-0.656820\pi$
$367$	10.0872	−	17.4715i	0.526546	−	0.912004i	0.999522	−	0.0309288i	$-0.00984650\pi$
$368$	23.9257	+	6.77913i	1.24722	+	0.353387i
$369$	−3.91121	−	6.77442i	−0.203609	−	0.352662i
$370$	21.9203	−	1.35802i	1.13958	−	0.0706003i
$371$	−9.83984	+	30.7485i	−0.510859	+	1.59638i
$372$	−6.86204	−	5.34384i	−0.355780	−	0.277065i
$373$	20.7768	+	5.56713i	1.07578	+	0.288255i	0.752867	−	0.658173i	$-0.228670\pi$
$373$	20.7768	+	5.56713i	1.07578	+	0.288255i	0.322915	+	0.946428i	$0.395337\pi$
$374$	0.0171064	−	0.00573869i	0.000884549	−	0.000296740i
$375$	10.4528	+	6.03491i	0.539779	+	0.311641i
$376$	−7.65209	+	6.56682i	−0.394626	+	0.338658i
$377$			20.6446i			1.06325i
$378$	2.60856	−	2.68243i	0.134170	−	0.137969i
$379$	5.58955	−	5.58955i	0.287116	−	0.287116i	−0.548823	−	0.835939i	$-0.684924\pi$
$379$	5.58955	−	5.58955i	0.287116	−	0.287116i	0.835939	+	0.548823i	$0.184924\pi$
$380$	6.72655	+	8.89725i	0.345065	+	0.456419i
$381$	−3.32472	+	0.890856i	−0.170331	+	0.0456400i
$382$	29.0579	+	14.4592i	1.48673	+	0.739795i
$383$	2.27561	+	3.94147i	0.116278	+	0.201400i	0.918290	−	0.395908i	$-0.129570\pi$
$383$	2.27561	+	3.94147i	0.116278	+	0.201400i	−0.802012	+	0.597308i	$0.796237\pi$
$384$	3.90369	−	10.6189i	0.199209	−	0.541894i
$385$	0.298771	−	0.464576i	0.0152268	−	0.0236770i
$386$	−0.740251	−	11.9486i	−0.0376778	−	0.608169i
$387$	−0.290514	+	1.08421i	−0.0147677	+	0.0551137i
$388$	−13.0732	+	30.9338i	−0.663689	+	1.57042i
$389$	1.00999	+	3.76935i	0.0512088	+	0.191114i	0.986792	−	0.161993i	$-0.0517921\pi$
$389$	1.00999	+	3.76935i	0.0512088	+	0.191114i	−0.935583	+	0.353106i	$0.885125\pi$
$390$	−12.8366	−	2.60111i	−0.650005	−	0.131712i
$391$			0.641198i			0.0324268i
$392$	−16.1896	+	11.3972i	−0.817699	+	0.575646i
$393$		−	12.9530i		−	0.653395i
$394$	6.91358	−	34.1188i	0.348301	−	1.71888i
$395$	−6.21111	−	23.1802i	−0.312515	−	1.16632i
$396$	−0.229246	+	0.0930414i	−0.0115200	+	0.00467551i
$397$	−1.72860	+	6.45122i	−0.0867559	+	0.323777i	−0.995641	−	0.0932694i	$-0.970268\pi$
$397$	−1.72860	+	6.45122i	−0.0867559	+	0.323777i	0.908885	+	0.417047i	$0.136935\pi$
$398$	−3.47128	+	0.215055i	−0.173999	+	0.0107798i
$399$	−4.72908	+	7.35352i	−0.236750	+	0.368137i
$400$	2.10855	+	8.34488i	0.105427	+	0.417244i
$401$	−3.55274	−	6.15353i	−0.177416	−	0.307293i	0.763579	−	0.645714i	$-0.223440\pi$
$401$	−3.55274	−	6.15353i	−0.177416	−	0.307293i	−0.940995	+	0.338422i	$0.890107\pi$
$402$	2.21228	−	4.44590i	0.110338	−	0.221741i
$403$	−23.0509	+	6.17646i	−1.14824	+	0.307671i
$404$	−31.0758	−	4.31754i	−1.54608	−	0.214805i
$405$	−1.19336	+	1.19336i	−0.0592985	+	0.0592985i
$406$	−10.0913	−	9.81344i	−0.500825	−	0.487033i
$407$		−	1.13831i		−	0.0564237i
$408$	0.290872	+	0.0222010i	0.0144003	+	0.00109911i
$409$	−5.25108	−	3.03171i	−0.259649	−	0.149908i	0.364525	−	0.931193i	$-0.381231\pi$
$409$	−5.25108	−	3.03171i	−0.259649	−	0.149908i	−0.624174	+	0.781285i	$0.714565\pi$
$410$	−5.93799	−	17.7005i	−0.293256	−	0.874163i
$411$	2.24468	+	0.601461i	0.110722	+	0.0296679i
$412$	2.84057	+	22.8373i	0.139945	+	1.12511i
$413$	5.49445	−	17.1696i	0.270364	−	0.844860i
$414$	−0.543649	−	8.77520i	−0.0267189	−	0.431278i
$415$	−4.60429	−	7.97486i	−0.226016	−	0.391471i
$416$	−16.7822	−	26.1153i	−0.822815	−	1.28041i
$417$	6.90394	−	11.9580i	0.338087	−	0.585585i
$418$	0.481819	−	0.319455i	0.0235666	−	0.0156251i
$419$	−6.93131	−	6.93131i	−0.338616	−	0.338616i	0.517230	−	0.855846i	$-0.326963\pi$
$419$	−6.93131	−	6.93131i	−0.338616	−	0.338616i	−0.855846	+	0.517230i	$0.826963\pi$
$420$	7.37334	−	5.03824i	0.359782	−	0.245841i
$421$	9.84260	−	9.84260i	0.479699	−	0.479699i	−0.425336	−	0.905035i	$-0.639844\pi$
$421$	9.84260	−	9.84260i	0.479699	−	0.479699i	0.905035	+	0.425336i	$0.139844\pi$
$422$	−0.307306	−	0.0622702i	−0.0149594	−	0.00303127i
$423$	3.08744	+	1.78253i	0.150116	+	0.0866698i
$424$	31.1163	−	14.9320i	1.51114	−	0.725163i
$425$	−0.192198	+	0.110965i	−0.00932295	+	0.00538261i
$426$	−12.5865	−	11.1179i	−0.609817	−	0.538665i
$427$	−12.4211	+	11.2845i	−0.601101	+	0.546093i
$428$	−5.65771	+	7.26508i	−0.273476	+	0.351171i
$429$	−0.175697	+	0.655710i	−0.00848272	+	0.0316580i
$430$	−1.19348	+	2.39847i	−0.0575545	+	0.115664i
$431$	2.75869	−	4.77819i	0.132881	−	0.230157i	−0.791905	−	0.610645i	$-0.790910\pi$
$431$	2.75869	−	4.77819i	0.132881	−	0.230157i	0.924786	+	0.380487i	$0.124244\pi$
$432$	−3.99959	−	0.0572152i	−0.192430	−	0.00275277i
$433$	−27.4639			−1.31983			−0.659916	−	0.751340i	$-0.729408\pi$
$433$	−27.4639			−1.31983			−0.659916	+	0.751340i	$0.729408\pi$
$434$	7.93813	−	14.2035i	0.381043	−	0.681792i
$435$	4.48944	+	4.48944i	0.215252	+	0.215252i
$436$	2.05877	−	14.8182i	0.0985972	−	0.709661i
$437$	5.31713	+	19.8438i	0.254353	+	0.949257i
$438$	−12.9711	+	4.35141i	−0.619781	+	0.207918i
$439$	−23.8587	+	13.7748i	−1.13871	+	0.657436i	−0.946111	−	0.323841i	$-0.895026\pi$
$439$	−23.8587	+	13.7748i	−1.13871	+	0.657436i	−0.192601	+	0.981277i	$0.561692\pi$
$440$	−0.580348	+	0.108979i	−0.0276670	+	0.00519539i
$441$	5.69949	+	4.06397i	0.271404	+	0.193522i
$442$	0.529903	−	0.599897i	0.0252049	−	0.0285342i
$443$	−6.35573	−	1.70301i	−0.301970	−	0.0809126i	0.104653	−	0.994509i	$-0.466627\pi$
$443$	−6.35573	−	1.70301i	−0.301970	−	0.0809126i	−0.406623	+	0.913596i	$0.633294\pi$
$444$	7.16424	−	16.9520i	0.340000	−	0.804508i
$445$	−5.62138	+	1.50625i	−0.266479	+	0.0714029i
$446$	−23.7610	+	15.7540i	−1.12512	+	0.745973i
$447$	3.40582			0.161090
$448$	20.7430	+	4.21062i	0.980013	+	0.198933i
$449$	38.2551			1.80537			0.902684	−	0.430304i	$-0.141594\pi$
$449$	38.2551			1.80537			0.902684	+	0.430304i	$0.141594\pi$
$450$	2.53626	−	1.68159i	0.119561	−	0.0792708i
$451$	−0.934689	+	0.250449i	−0.0440128	+	0.0117932i
$452$	−6.13431	+	14.5150i	−0.288534	+	0.682729i
$453$	2.87266	+	0.769727i	0.134969	+	0.0361650i
$454$	−19.5528	+	22.1355i	−0.917657	+	1.03887i
$455$	1.17357	−	24.4750i	0.0550179	−	1.14740i
$456$	9.18601	−	1.72498i	0.430174	−	0.0807794i
$457$	−27.5006	+	15.8775i	−1.28643	+	0.742718i	−0.978015	−	0.208535i	$-0.933131\pi$
$457$	−27.5006	+	15.8775i	−1.28643	+	0.742718i	−0.308411	+	0.951253i	$0.599797\pi$
$458$	−2.11770	+	0.710427i	−0.0989536	+	0.0331961i
$459$	−0.0266940	−	0.0996235i	−0.00124597	−	0.00465003i
$460$	2.88770	−	20.7844i	0.134640	−	0.969080i
$461$	23.4416	+	23.4416i	1.09178	+	1.09178i	0.995338	+	0.0964455i	$0.0307474\pi$
$461$	23.4416	+	23.4416i	1.09178	+	1.09178i	0.0964455	+	0.995338i	$0.469253\pi$
$462$	−0.237002	−	0.397576i	−0.0110263	−	0.0184969i
$463$	7.61935			0.354101			0.177051	−	0.984202i	$-0.443344\pi$
$463$	7.61935			0.354101			0.177051	+	0.984202i	$0.443344\pi$
$464$	−0.215244	+	15.0465i	−0.00999247	+	0.698517i
$465$	−3.66956	+	6.35587i	−0.170172	+	0.294746i
$466$	−0.151376	+	0.304213i	−0.00701236	+	0.0140924i
$467$	−8.71034	+	32.5074i	−0.403066	+	1.50426i	0.404528	+	0.914526i	$0.367436\pi$
$467$	−8.71034	+	32.5074i	−0.403066	+	1.50426i	−0.807594	+	0.589738i	$0.799231\pi$
$468$	−6.74343	+	8.65926i	−0.311715	+	0.400275i
$469$	8.84833	+	2.83156i	0.408578	+	0.130749i
$470$	6.37716	+	5.63309i	0.294157	+	0.259835i
$471$	6.37754	−	3.68207i	0.293861	−	0.169661i
$472$	−17.3750	+	8.33786i	−0.799748	+	0.383781i
$473$	0.120250	+	0.0694262i	0.00552909	+	0.00319222i
$474$	−19.7090	−	3.99368i	−0.905262	−	0.183436i
$475$	−5.02795	+	5.02795i	−0.230698	+	0.230698i
$476$	0.0413473	+	0.544186i	0.00189515	+	0.0249427i
$477$	−8.62840	−	8.62840i	−0.395067	−	0.395067i
$478$	22.9521	−	15.2177i	1.04981	−	0.696040i
$479$	6.64397	−	11.5077i	0.303571	−	0.525800i	−0.673371	−	0.739305i	$-0.735154\pi$
$479$	6.64397	−	11.5077i	0.303571	−	0.525800i	0.976942	+	0.213504i	$0.0684877\pi$
$480$	−9.32864	−	2.02962i	−0.425792	−	0.0926390i
$481$	−25.2483	−	43.7313i	−1.15122	−	1.99398i
$482$	1.37999	+	22.2748i	0.0628566	+	1.01459i
$483$	16.0736	−	3.49132i	0.731373	−	0.158860i
$484$	−2.71173	−	21.8014i	−0.123260	−	0.990973i
$485$	27.3727	+	7.33448i	1.24293	+	0.333042i
$486$	0.449792	+	1.34078i	0.0204030	+	0.0608189i
$487$	29.0890	+	16.7946i	1.31815	+	0.761034i	0.983431	−	0.181283i	$-0.0580251\pi$
$487$	29.0890	+	16.7946i	1.31815	+	0.761034i	0.334719	+	0.942318i	$0.391358\pi$
$488$	17.8883	+	1.36534i	0.809766	+	0.0618060i
$489$		−	18.1417i		−	0.820398i
$490$	11.4058	+	12.2079i	0.515262	+	0.551496i
$491$	−11.3672	+	11.3672i	−0.512994	+	0.512994i	−0.915443	−	0.402448i	$-0.868159\pi$
$491$	−11.3672	+	11.3672i	−0.512994	+	0.512994i	0.402448	+	0.915443i	$0.368159\pi$
$492$	−15.4960	−	2.15295i	−0.698614	−	0.0970623i
$493$	−0.374785	+	0.100423i	−0.0168795	+	0.00452284i
$494$	11.4248	−	22.9598i	0.514026	−	1.03301i
$495$	0.104385	+	0.180800i	0.00469176	+	0.00812637i
$496$	−16.8647	+	4.26130i	−0.757247	+	0.191338i
$497$	16.9942	−	26.4253i	0.762294	−	1.18534i
$498$	−7.70175	+	0.477145i	−0.345124	+	0.0213814i
$499$	−8.46132	+	31.5781i	−0.378781	+	1.41363i	0.468960	+	0.883219i	$0.344629\pi$
$499$	−8.46132	+	31.5781i	−0.378781	+	1.41363i	−0.847741	+	0.530410i	$0.822038\pi$
$500$	22.3676	−	9.07810i	1.00031	−	0.405985i
$501$	−1.93313	−	7.21454i	−0.0863658	−	0.322322i
$502$	−0.769564	+	3.79783i	−0.0343473	+	0.169505i
$503$		−	0.244881i		−	0.0109187i	−0.999985	−	0.00545936i	$-0.998262\pi$
$503$		−	0.244881i		−	0.0109187i	0.999985	−	0.00545936i	$-0.00173778\pi$
$504$	−1.02726	−	7.41247i	−0.0457578	−	0.330178i
$505$			26.4747i			1.17811i
$506$	−1.06594	−	0.215994i	−0.0473869	−	0.00960212i
$507$	4.42947	+	16.5310i	0.196720	+	0.734168i
$508$	−2.67982	+	6.34099i	−0.118898	+	0.281336i
$509$	−5.50661	+	20.5510i	−0.244076	+	0.910905i	0.729769	+	0.683694i	$0.239628\pi$
$509$	−5.50661	+	20.5510i	−0.244076	+	0.910905i	−0.973845	+	0.227212i	$0.927039\pi$
$510$	−0.0152212	−	0.245690i	−0.000674006	−	0.0108793i
$511$	−11.7215	−	22.7540i	−0.518529	−	1.00658i
$512$	−11.9592	−	19.2088i	−0.528527	−	0.848917i
$513$	−1.65225	−	2.86179i	−0.0729488	−	0.126351i
$514$	4.89045	+	2.43348i	0.215708	+	0.107336i
$515$	18.7576	−	5.02609i	0.826560	−	0.221476i
$516$	1.35385	+	1.79074i	0.0595999	+	0.0788331i
$517$	0.311842	−	0.311842i	0.0137148	−	0.0137148i
$518$	33.3782	+	8.44607i	1.46656	+	0.371099i
$519$		−	18.1866i		−	0.798303i
$520$	−19.8785	+	17.0592i	−0.871731	+	0.748096i
$521$	4.66396	+	2.69274i	0.204332	+	0.117971i	0.598675	−	0.800992i	$-0.295694\pi$
$521$	4.66396	+	2.69274i	0.204332	+	0.117971i	−0.394343	+	0.918964i	$0.629028\pi$
$522$	5.04403	−	1.69213i	0.220771	−	0.0740623i
$523$	−27.0604	−	7.25082i	−1.18327	−	0.317056i	−0.387047	−	0.922060i	$-0.626505\pi$
$523$	−27.0604	−	7.25082i	−1.18327	−	0.317056i	−0.796223	+	0.605004i	$0.793172\pi$
$524$	−20.4394	−	15.9172i	−0.892898	−	0.695347i
$525$	3.82820	+	4.21381i	0.167076	+	0.183906i
$526$	−40.3935	+	2.50249i	−1.76124	+	0.109114i
$527$	−0.224257	−	0.388424i	−0.00976879	−	0.0169200i
$528$	−0.134891	+	0.476073i	−0.00587037	+	0.0207184i
$529$	7.82492	−	13.5532i	0.340214	−	0.589268i
$530$	−16.0936	−	24.2732i	−0.699060	−	1.05436i
$531$	4.81800	+	4.81800i	0.209083	+	0.209083i
$532$	5.79227	+	16.4986i	0.251127	+	0.715305i
$533$	−30.3537	+	30.3537i	−1.31476	+	1.31476i
$534$	−0.968500	+	4.77959i	−0.0419111	+	0.206833i
$535$	6.72918	+	3.88509i	0.290928	+	0.167967i
$536$	−4.29691	−	8.95418i	−0.185598	−	0.386762i
$537$	−7.07488	+	4.08468i	−0.305304	+	0.176267i
$538$	11.9807	−	13.5632i	0.516523	−	0.584750i
$539$	0.668077	−	0.550908i	0.0287761	−	0.0237293i
$540$	0.416624	+	3.34952i	0.0179286	+	0.144140i
$541$	−5.90886	+	22.0522i	−0.254042	+	0.948096i	0.714580	+	0.699554i	$0.246618\pi$
$541$	−5.90886	+	22.0522i	−0.254042	+	0.948096i	−0.968621	+	0.248542i	$0.920049\pi$
$542$	−26.6329	−	13.2525i	−1.14398	−	0.569244i
$543$	5.19573	−	8.99927i	0.222970	−	0.386196i
$544$	0.392467	−	0.431702i	0.0168269	−	0.0185091i
$545$	−12.6242			−0.540760
$546$	−17.9236	−	10.0172i	−0.767058	−	0.428696i
$547$	12.8978	+	12.8978i	0.551469	+	0.551469i	0.926865	−	0.375396i	$-0.122493\pi$
$547$	12.8978	+	12.8978i	0.551469	+	0.551469i	−0.375396	+	0.926865i	$0.622493\pi$
$548$	3.70744	−	2.80292i	0.158374	−	0.119735i
$549$	−1.64166	−	6.12674i	−0.0700641	−	0.261483i
$550$	−0.119727	−	0.356893i	−0.00510519	−	0.0152180i
$551$	−10.7661	+	6.21581i	−0.458651	+	0.264802i
$552$	−14.5150	−	9.92546i	−0.617798	−	0.422456i
$553$	1.80187	−	37.5783i	0.0766234	−	1.59799i
$554$	34.8202	+	30.7574i	1.47937	+	1.30676i
$555$	−15.0005	−	4.01938i	−0.636737	−	0.170613i
$556$	−10.3853	−	25.5886i	−0.440437	−	1.08520i
$557$	8.08790	−	2.16715i	0.342695	−	0.0918249i	−0.0833667	−	0.996519i	$-0.526567\pi$
$557$	8.08790	−	2.16715i	0.342695	−	0.0918249i	0.426062	+	0.904694i	$0.359901\pi$
$558$	3.39843	+	5.12570i	0.143867	+	0.216988i
$559$	6.15966			0.260526
$560$	1.11052	−	17.8260i	0.0469281	−	0.753286i
$561$	−0.0127585			−0.000538665
$562$	18.1244	+	27.3362i	0.764532	+	1.15311i
$563$	0.464777	−	0.124537i	0.0195880	−	0.00524859i	−0.249012	−	0.968500i	$-0.580106\pi$
$563$	0.464777	−	0.124537i	0.0195880	−	0.00524859i	0.268600	+	0.963252i	$0.413439\pi$
$564$	6.60673	−	2.68140i	0.278194	−	0.112907i
$565$	12.8441	+	3.44155i	0.540353	+	0.144787i
$566$	14.1962	+	12.5398i	0.596709	+	0.527087i
$567$	−2.35202	+	1.21162i	−0.0987754	+	0.0508831i
$568$	−33.0104	+	6.19879i	−1.38509	+	0.260096i
$569$	13.2561	−	7.65344i	0.555727	−	0.320849i	−0.195702	−	0.980663i	$-0.562699\pi$
$569$	13.2561	−	7.65344i	0.555727	−	0.320849i	0.751428	+	0.659815i	$0.229365\pi$
$570$	−2.50845	−	7.47739i	−0.105067	−	0.313194i
$571$	3.88358	+	14.4937i	0.162523	+	0.606544i	0.998343	+	0.0575404i	$0.0183258\pi$
$571$	3.88358	+	14.4937i	0.162523	+	0.606544i	−0.835820	+	0.549003i	$0.815008\pi$
$572$	0.818779	+	1.08300i	0.0342349	+	0.0452827i
$573$	−16.2283	−	16.2283i	−0.677946	−	0.677946i
$574$	−0.408598	−	29.2660i	−0.0170545	−	1.22154i
$575$	13.3774			0.557878
$576$	−5.00514	+	6.24088i	−0.208548	+	0.260037i
$577$	16.5411	−	28.6501i	0.688616	−	1.19272i	−0.283670	−	0.958922i	$-0.591552\pi$
$577$	16.5411	−	28.6501i	0.688616	−	1.19272i	0.972286	−	0.233796i	$-0.0751147\pi$
$578$	−21.5107	−	10.7037i	−0.894725	−	0.445214i
$579$	−2.19094	+	8.17670i	−0.0910524	+	0.339812i
$580$	12.6009	−	1.56734i	0.523226	−	0.0650804i
$581$	−3.06423	−	14.1073i	−0.127126	−	0.585270i
$582$	15.7210	−	17.7976i	0.651656	−	0.737732i
$583$	−1.30725	+	0.754741i	−0.0541407	+	0.0312582i
$584$	−9.07300	+	25.8150i	−0.375443	+	1.06823i
$585$	8.02052	+	4.63065i	0.331608	+	0.191454i
$586$	0.173216	−	0.854830i	0.00715550	−	0.0353127i
$587$	−13.2840	+	13.2840i	−0.548290	+	0.548290i	−0.925946	−	0.377656i	$-0.876730\pi$
$587$	−13.2840	+	13.2840i	−0.548290	+	0.548290i	0.377656	+	0.925946i	$0.376730\pi$
$588$	13.4165	−	3.99958i	0.553288	−	0.164940i
$589$	−10.1613	−	10.1613i	−0.418690	−	0.418690i
$590$	8.98645	+	13.5539i	0.369966	+	0.558003i
$591$	−12.3080	+	21.3180i	−0.506283	+	0.876907i
$592$	−17.9459	−	32.1362i	−0.737573	−	1.32079i
$593$	−12.6212	−	21.8606i	−0.518291	−	0.897705i	−0.999774	−	0.0212504i	$-0.993235\pi$
$593$	−12.6212	−	21.8606i	−0.518291	−	0.897705i	0.481484	−	0.876455i	$-0.340098\pi$
$594$	0.174609	−	0.0108175i	0.00716427	−	0.000443847i
$595$	0.450031	−	0.0977507i	0.0184495	−	0.00400739i
$596$	4.18520	−	5.37423i	0.171433	−	0.220137i
$597$	2.37547	+	0.636506i	0.0972216	+	0.0260504i
$598$	−45.7421	+	15.3452i	−1.87053	+	0.627510i
$599$	27.0970	+	15.6444i	1.10715	+	0.639215i	0.938090	−	0.346391i	$-0.112593\pi$
$599$	27.0970	+	15.6444i	1.10715	+	0.639215i	0.169062	+	0.985605i	$0.445926\pi$
$600$	0.463184	−	6.06852i	0.0189094	−	0.247746i
$601$		−	24.3374i		−	0.992743i	−0.868110	−	0.496371i	$-0.834665\pi$
$601$		−	24.3374i		−	0.992743i	0.868110	−	0.496371i	$-0.165335\pi$
$602$	−2.92800	+	3.01092i	−0.119337	+	0.122716i
$603$	−2.48295	+	2.48295i	−0.101114	+	0.101114i
$604$	4.74464	−	3.58707i	0.193057	−	0.145956i
$605$	−17.9068	+	4.79811i	−0.728015	+	0.195071i
$606$	19.8619	+	9.88326i	0.806834	+	0.401480i
$607$	3.40285	+	5.89391i	0.138117	+	0.239227i	0.926784	−	0.375595i	$-0.122562\pi$
$607$	3.40285	+	5.89391i	0.138117	+	0.239227i	−0.788667	+	0.614821i	$0.789228\pi$
$608$	8.56619	−	16.6149i	0.347405	−	0.673821i
$609$	4.55812	+	8.84832i	0.184704	+	0.358552i
$610$	−0.936088	−	15.1097i	−0.0379011	−	0.611773i
$611$	5.06348	−	18.8972i	0.204847	−	0.764498i
$612$	−0.190004	−	0.0802993i	−0.00768048	−	0.00324591i
$613$	−0.103158	−	0.384991i	−0.00416652	−	0.0155496i	0.963811	−	0.266585i	$-0.0858955\pi$
$613$	−0.103158	−	0.384991i	−0.00416652	−	0.0155496i	−0.967978	+	0.251036i	$0.919229\pi$
$614$	35.1903	+	7.13071i	1.42017	+	0.287772i
$615$			13.2016i			0.532341i
$616$	−0.918595	−	0.114578i	−0.0370112	−	0.00461649i
$617$			3.43305i			0.138210i	0.997609	+	0.0691048i	$0.0220143\pi$
$617$			3.43305i			0.138210i	−0.997609	+	0.0691048i	$0.977986\pi$
$618$	3.23172	−	15.9487i	0.129999	−	0.641550i
$619$	−0.679678	−	2.53659i	−0.0273185	−	0.101954i	0.950920	−	0.309435i	$-0.100140\pi$
$619$	−0.679678	−	2.53659i	−0.0273185	−	0.101954i	−0.978239	+	0.207481i	$0.933473\pi$
$620$	5.51999	+	13.6008i	0.221688	+	0.546220i
$621$	−1.60905	+	6.00506i	−0.0645690	+	0.240975i
$622$	45.8497	−	2.84052i	1.83841	−	0.113895i
$623$	−9.11305	−	0.436969i	−0.365106	−	0.0175068i
$624$	5.37736	+	21.2817i	0.215267	+	0.851950i
$625$	−4.80544	−	8.32327i	−0.192218	−	0.332931i
$626$	15.2702	−	30.6877i	0.610318	−	1.22653i
$627$	−0.394851	+	0.105800i	−0.0157688	+	0.00422524i
$628$	2.02682	−	14.5882i	0.0808787	−	0.582131i
$629$	0.671088	−	0.671088i	0.0267580	−	0.0267580i
$630$	−6.07609	+	1.71935i	−0.242077	+	0.0685004i
$631$		−	14.8712i		−	0.592013i	−0.955186	−	0.296006i	$-0.904345\pi$
$631$		−	14.8712i		−	0.592013i	0.955186	−	0.296006i	$-0.0956550\pi$
$632$	−30.5210	+	26.1923i	−1.21406	+	1.04187i
$633$	0.192010	+	0.110857i	0.00763173	+	0.00440618i
$634$	−12.2981	−	36.6593i	−0.488420	−	1.45592i
$635$	5.61102	+	1.50347i	0.222666	+	0.0596633i
$636$	−24.2182	+	3.01233i	−0.960314	+	0.119447i
$637$	13.4467	−	35.9831i	0.532777	−	1.42570i
$638$	−0.0406956	−	0.656880i	−0.00161115	−	0.0260061i
$639$	5.93747	+	10.2840i	0.234883	+	0.406828i
$640$	−14.6661	+	12.2261i	−0.579727	+	0.483280i
$641$	−3.79332	+	6.57022i	−0.149827	+	0.259508i	−0.931163	−	0.364602i	$-0.881205\pi$
$641$	−3.79332	+	6.57022i	−0.149827	+	0.259508i	0.781336	+	0.624110i	$0.214538\pi$
$642$	5.42675	−	3.59804i	0.214177	−	0.142003i
$643$	23.0822	+	23.0822i	0.910275	+	0.910275i	0.996294	−	0.0860190i	$-0.0274146\pi$
$643$	23.0822	+	23.0822i	0.910275	+	0.910275i	−0.0860190	+	0.996294i	$0.527415\pi$
$644$	14.2427	−	29.6537i	0.561241	−	1.16852i
$645$	1.33950	−	1.33950i	0.0527427	−	0.0527427i
$646$	0.472392	+	0.0957219i	0.0185860	+	0.00376613i
$647$	16.9122	+	9.76425i	0.664886	+	0.383872i	0.794136	−	0.607740i	$-0.207924\pi$
$647$	16.9122	+	9.76425i	0.664886	+	0.383872i	−0.129250	+	0.991612i	$0.541257\pi$
$648$	2.66842	+	0.937849i	0.104825	+	0.0368422i
$649$	0.729952	−	0.421438i	0.0286531	−	0.0165429i
$650$	−12.5158	−	11.0555i	−0.490909	−	0.433631i
$651$	−8.51596	+	7.73665i	−0.333767	+	0.303223i
$652$	−28.6269	−	22.2933i	−1.12112	−	0.873073i
$653$	2.20061	−	8.21280i	0.0861167	−	0.321392i	−0.909407	−	0.415908i	$-0.863464\pi$
$653$	2.20061	−	8.21280i	0.0861167	−	0.321392i	0.995523	+	0.0945163i	$0.0301304\pi$
$654$	−4.71273	+	9.47093i	−0.184282	+	0.370343i
$655$	−10.9302	+	18.9317i	−0.427078	+	0.739722i
$656$	−22.4394	+	21.8064i	−0.876110	+	0.851397i
$657$	9.67427			0.377429
$658$	6.83025	+	11.4579i	0.266271	+	0.446676i
$659$	14.6992	+	14.6992i	0.572601	+	0.572601i	0.932854	−	0.360254i	$-0.117310\pi$
$659$	14.6992	+	14.6992i	0.572601	+	0.572601i	−0.360254	+	0.932854i	$0.617310\pi$
$660$	0.413568	+	0.0574593i	0.0160981	+	0.00223660i
$661$	9.09082	+	33.9274i	0.353592	+	1.31962i	0.882247	+	0.470787i	$0.156030\pi$
$661$	9.09082	+	33.9274i	0.353592	+	1.31962i	−0.528655	+	0.848837i	$0.677304\pi$
$662$	32.5901	−	10.9330i	1.26665	−	0.424924i
$663$	−0.490156	+	0.282992i	−0.0190361	+	0.0109905i
$664$	−8.71130	+	12.7394i	−0.338064	+	0.494384i
$665$	13.1170	−	6.75707i	0.508655	−	0.262028i
$666$	−8.61528	+	9.75326i	−0.333835	+	0.377931i
$667$	22.5911	+	6.05328i	0.874733	+	0.234384i
$668$	−13.7597	−	5.81511i	−0.532380	−	0.224993i
$669$	19.4722	−	5.21755i	0.752837	−	0.201722i
$670$	−6.98497	+	4.63116i	−0.269853	+	0.178917i
$671$	−0.784636			−0.0302905
$672$	−12.9589	−	7.48777i	−0.499901	−	0.288847i
$673$	9.04651			0.348717			0.174359	−	0.984682i	$-0.444215\pi$
$673$	9.04651			0.348717			0.174359	+	0.984682i	$0.444215\pi$
$674$	12.3862	−	8.21226i	0.477097	−	0.316324i
$675$	−2.07847	+	0.556923i	−0.0800002	+	0.0214360i
$676$	31.5284	+	13.3245i	1.21263	+	0.512479i
$677$	41.5056	+	11.1214i	1.59519	+	0.427430i	0.943586	−	0.331128i	$-0.107429\pi$
$677$	41.5056	+	11.1214i	1.59519	+	0.427430i	0.651605	+	0.758558i	$0.274096\pi$
$678$	7.37675	−	8.35113i	0.283302	−	0.320723i
$679$	37.3659	+	24.0301i	1.43397	+	0.922192i
$680$	−0.406393	−	0.277895i	−0.0155845	−	0.0106568i
$681$	18.0862	−	10.4420i	0.693063	−	0.400140i
$682$	0.721269	−	0.241965i	0.0276188	−	0.00926531i
$683$	−9.63911	−	35.9737i	−0.368830	−	1.37649i	−0.862153	−	0.506647i	$-0.830885\pi$
$683$	−9.63911	−	35.9737i	−0.368830	−	1.37649i	0.493323	−	0.869846i	$-0.335782\pi$
$684$	−6.54614	−	0.909492i	−0.250298	−	0.0347753i
$685$	−2.77321	−	2.77321i	−0.105959	−	0.105959i
$686$	11.1971	+	23.6775i	0.427507	+	0.904012i
$687$	1.57946			0.0602600
$688$	4.48938	+	0.0642218i	0.171156	+	0.00244843i
$689$	−33.4812	+	57.9911i	−1.27553	+	2.20929i
$690$	−6.61022	+	13.2842i	−0.251647	+	0.505722i
$691$	6.82928	−	25.4872i	0.259798	−	0.969579i	−0.705560	−	0.708650i	$-0.749305\pi$
$691$	6.82928	−	25.4872i	0.259798	−	0.969579i	0.965358	−	0.260929i	$-0.0840288\pi$
$692$	−28.6977	−	22.3484i	−1.09092	−	0.849559i
$693$	0.0694701	+	0.319831i	0.00263895	+	0.0121494i
$694$	−5.85569	−	5.17246i	−0.222279	−	0.196344i
$695$	−20.1811	+	11.6515i	−0.765511	+	0.441968i
$696$	3.52820	−	10.0386i	0.133736	−	0.380513i
$697$	−0.698699	−	0.403394i	−0.0264651	−	0.0152796i
$698$	30.7369	+	6.22830i	1.16341	+	0.235745i
$699$	0.169897	−	0.169897i	0.00642610	−	0.00642610i
$700$	11.3535	−	0.862637i	0.429120	−	0.0326046i
$701$	−9.66959	−	9.66959i	−0.365215	−	0.365215i	0.500513	−	0.865729i	$-0.333145\pi$
$701$	−9.66959	−	9.66959i	−0.365215	−	0.365215i	−0.865729	+	0.500513i	$0.833145\pi$
$702$	6.46816	−	4.28851i	0.244125	−	0.161859i
$703$	15.2038	−	26.3338i	0.573424	−	0.993199i
$704$	0.585464	+	0.797870i	0.0220655	+	0.0300709i
$705$	−3.00832	−	5.21056i	−0.113300	−	0.196241i
$706$	0.988507	+	15.9558i	0.0372029	+	0.600504i
$707$	−12.6499	+	39.5296i	−0.475748	+	1.48666i
$708$	13.5231	−	1.68205i	0.508231	−	0.0632153i
$709$	24.5546	+	6.57939i	0.922169	+	0.247094i	0.688512	−	0.725225i	$-0.258264\pi$
$709$	24.5546	+	6.57939i	0.922169	+	0.247094i	0.233657	+	0.972319i	$0.424931\pi$
$710$	9.01425	+	26.8704i	0.338299	+	1.00843i
$711$	12.3145	+	7.10979i	0.461830	+	0.266638i
$712$	6.35186	+	7.40160i	0.238046	+	0.277387i
$713$			27.0353i			1.01248i
$714$	0.0946665	−	0.374115i	0.00354280	−	0.0140009i
$715$	0.810101	−	0.810101i	0.0302961	−	0.0302961i
$716$	−2.24843	+	16.1833i	−0.0840280	+	0.604798i
$717$	−18.8092	+	5.03992i	−0.702444	+	0.188219i
$718$	−18.7178	+	37.6163i	−0.698543	+	1.40383i
$719$	3.38444	+	5.86201i	0.126218	+	0.218616i	0.922208	−	0.386693i	$-0.126383\pi$
$719$	3.38444	+	5.86201i	0.126218	+	0.218616i	−0.795990	+	0.605309i	$0.793049\pi$
$720$	5.79737	+	3.45861i	0.216055	+	0.128895i
$721$	30.4087	+	1.45809i	1.13248	+	0.0543022i
$722$	−11.4053	+	0.706590i	−0.424461	+	0.0262966i
$723$	4.08438	−	15.2431i	0.151900	−	0.566898i
$724$	−7.81575	−	19.2573i	−0.290470	−	0.715693i
$725$	2.09515	+	7.81922i	0.0778121	+	0.290399i
$726$	−3.08514	+	15.2253i	−0.114500	+	0.565063i
$727$			28.0178i			1.03912i	0.854434	+	0.519561i	$0.173904\pi$
$727$			28.0178i			1.03912i	−0.854434	+	0.519561i	$0.826096\pi$
$728$	−37.8319	+	15.9731i	−1.40214	+	0.592003i
$729$		−	1.00000i		−	0.0370370i
$730$	22.6298	+	4.58554i	0.837568	+	0.169719i
$731$	0.0299630	+	0.111824i	0.00110822	+	0.00413594i
$732$	−11.6851	−	4.93832i	−0.431893	−	0.182526i
$733$	−8.55823	+	31.9397i	−0.316105	+	1.17972i	0.606851	+	0.794816i	$0.292433\pi$
$733$	−8.55823	+	31.9397i	−0.316105	+	1.17972i	−0.922956	+	0.384906i	$0.874234\pi$
$734$	1.76418	+	28.4762i	0.0651172	+	1.05108i
$735$	−4.90084	−	10.7492i	−0.180770	−	0.396488i
$736$	−33.4985	+	10.7072i	−1.23477	+	0.394672i
$737$	0.217188	+	0.376180i	0.00800022	+	0.0138568i
$738$	9.90416	+	4.92830i	0.364577	+	0.181413i
$739$	−37.9579	+	10.1708i	−1.39630	+	0.374138i	−0.877016	−	0.480462i	$-0.840469\pi$
$739$	−37.9579	+	10.1708i	−1.39630	+	0.374138i	−0.519287	+	0.854600i	$0.673802\pi$
$740$	−24.7757	+	18.7310i	−0.910771	+	0.688566i
$741$	−12.8226	+	12.8226i	−0.471051	+	0.471051i
$742$	−12.4315	−	43.9322i	−0.456374	−	1.61280i
$743$		−	19.5296i		−	0.716472i	−0.933631	−	0.358236i	$-0.883378\pi$
$743$		−	19.5296i		−	0.716472i	0.933631	−	0.358236i	$-0.116622\pi$
$744$	12.2643	+	0.936079i	0.449630	+	0.0343183i
$745$	−4.97781	−	2.87394i	−0.182373	−	0.105293i
$746$	−28.8398	+	9.67491i	−1.05590	+	0.354224i
$747$	5.27048	+	1.41222i	0.192837	+	0.0516704i
$748$	−0.0156782	+	0.0201324i	−0.000573251	+	0.000736114i
$749$	8.19106	+	9.01615i	0.299295	+	0.329443i
$750$	−17.0366	+	1.05547i	−0.622090	+	0.0385403i
$751$	6.52731	+	11.3056i	0.238185	+	0.412548i	0.960194	−	0.279336i	$-0.0901142\pi$
$751$	6.52731	+	11.3056i	0.238185	+	0.412548i	−0.722009	+	0.691884i	$0.756781\pi$
$752$	3.88748	−	13.7202i	0.141762	−	0.500323i
$753$	1.37002	−	2.37295i	0.0499265	−	0.0864752i
$754$	−16.1334	−	24.3333i	−0.587545	−	0.886167i
$755$	−3.54905	−	3.54905i	−0.129163	−	0.129163i
$756$	−0.978372	+	5.20027i	−0.0355831	+	0.189132i
$757$	25.7244	−	25.7244i	0.934969	−	0.934969i	−0.0630417	−	0.998011i	$-0.520080\pi$
$757$	25.7244	−	25.7244i	0.934969	−	0.934969i	0.998011	+	0.0630417i	$0.0200801\pi$
$758$	−2.22013	+	10.9564i	−0.0806387	+	0.397955i
$759$	0.666019	+	0.384526i	0.0241750	+	0.0139574i
$760$	−14.8815	−	5.23029i	−0.539809	−	0.189723i
$761$	7.45453	−	4.30388i	0.270227	−	0.156015i	−0.358764	−	0.933428i	$-0.616802\pi$
$761$	7.45453	−	4.30388i	0.270227	−	0.156015i	0.628991	+	0.777413i	$0.283468\pi$
$762$	3.22258	−	3.64825i	0.116742	−	0.132162i
$763$	−18.8493	−	6.03196i	−0.682389	−	0.218372i
$764$	−45.5495	+	5.66559i	−1.64792	+	0.204974i
$765$	−0.0450506	+	0.168131i	−0.00162881	+	0.00607880i
$766$	−5.76241	−	2.86737i	−0.208204	−	0.103602i
$767$	18.6955	−	32.3815i	0.675055	−	1.16923i
$768$	3.69733	+	15.5669i	0.133416	+	0.561724i
$769$	−26.9922			−0.973362			−0.486681	−	0.873580i	$-0.661793\pi$
$769$	−26.9922			−0.973362			−0.486681	+	0.873580i	$0.661793\pi$
$770$	0.0109049	+	0.781071i	0.000392987	+	0.0281478i
$771$	−2.73122	−	2.73122i	−0.0983626	−	0.0983626i
$772$	10.2102	+	13.5051i	0.367473	+	0.486058i
$773$	1.03541	+	3.86422i	0.0372413	+	0.138986i	0.982043	−	0.188655i	$-0.0604129\pi$
$773$	1.03541	+	3.86422i	0.0372413	+	0.138986i	−0.944802	+	0.327641i	$0.893746\pi$
$774$	−0.504874	−	1.50497i	−0.0181473	−	0.0540951i
$775$	−8.10378	+	4.67872i	−0.291096	+	0.168065i
$776$	−8.76522	−	46.6774i	−0.314653	−	1.67562i
$777$	−20.4769	−	13.1688i	−0.734606	−	0.472428i
$778$	−4.13615	−	3.65356i	−0.148288	−	0.130986i
$779$	−24.9685	−	6.69028i	−0.894588	−	0.239704i
$780$	17.1629	−	6.96572i	0.614530	−	0.249413i
$781$	1.41892	−	0.380198i	0.0507729	−	0.0136045i
$782$	−0.501086	−	0.755766i	−0.0179188	−	0.0270261i
$783$	−3.76202			−0.134443
$784$	10.1756	−	26.0856i	0.363414	−	0.931628i
$785$	−12.4282			−0.443582
$786$	10.1226	+	15.2675i	0.361062	+	0.544573i
$787$	−25.4388	+	6.81631i	−0.906796	+	0.242975i	−0.681933	−	0.731415i	$-0.738860\pi$
$787$	−25.4388	+	6.81631i	−0.906796	+	0.242975i	−0.224863	+	0.974390i	$0.572194\pi$
$788$	18.5145	+	45.6180i	0.659550	+	1.62507i
$789$	27.6422	+	7.40670i	0.984087	+	0.263685i
$790$	25.4358	+	22.4681i	0.904967	+	0.799378i
$791$	17.5332	+	11.2757i	0.623408	+	0.400916i
$792$	0.197496	−	0.288818i	0.00701773	−	0.0102627i
$793$	−30.1441	+	17.4037i	−1.07045	+	0.618023i
$794$	−3.00407	−	8.95478i	−0.106610	−	0.317793i
$795$	5.33001	+	19.8919i	0.189036	+	0.705492i
$796$	3.92345	−	2.96623i	0.139063	−	0.105135i
$797$	−3.70071	−	3.70071i	−0.131086	−	0.131086i	0.638520	−	0.769606i	$-0.279547\pi$
$797$	−3.70071	−	3.70071i	−0.131086	−	0.131086i	−0.769606	+	0.638520i	$0.779547\pi$
$798$	−0.172608	−	12.3631i	−0.00611027	−	0.437650i
$799$	0.367693			0.0130081
$800$	−9.00669	−	8.18812i	−0.318435	−	0.289494i
$801$	1.72418	−	2.98637i	0.0609210	−	0.105518i
$802$	8.99643	+	4.47662i	0.317675	+	0.158075i
$803$	0.309740	−	1.15596i	0.0109305	−	0.0407931i
$804$	0.866844	+	6.96914i	0.0305712	+	0.245783i
$805$	−26.4386	−	8.46063i	−0.931838	−	0.298198i
$806$	22.3427	−	25.2939i	0.786989	−	0.890941i
$807$	−11.0820	+	6.39820i	−0.390105	+	0.225227i
$808$	40.0025	−	19.1963i	1.40728	−	0.675323i
$809$	−8.62274	−	4.97834i	−0.303159	−	0.175029i	0.340702	−	0.940171i	$-0.389335\pi$
$809$	−8.62274	−	4.97834i	−0.303159	−	0.175029i	−0.643861	+	0.765142i	$0.722669\pi$
$810$	0.473994	−	2.33918i	0.0166544	−	0.0821904i
$811$	−12.4822	+	12.4822i	−0.438308	+	0.438308i	−0.891442	−	0.453134i	$-0.850306\pi$
$811$	−12.4822	+	12.4822i	−0.438308	+	0.438308i	0.453134	+	0.891442i	$0.350306\pi$
$812$	19.5635	+	3.68065i	0.686544	+	0.129166i
$813$	14.8740	+	14.8740i	0.521653	+	0.521653i
$814$	0.889568	+	1.34169i	0.0311794	+	0.0470264i
$815$	−15.3086	+	26.5153i	−0.536237	+	0.928789i
$816$	−0.360194	+	0.201144i	−0.0126093	+	0.00704145i
$817$	1.85459	+	3.21225i	0.0648839	+	0.112382i
$818$	8.55856	−	0.530227i	0.299243	−	0.0185390i
$819$	9.76294	+	10.7464i	0.341145	+	0.375508i
$820$	20.8316	+	16.2227i	0.727472	+	0.566521i
$821$	−7.04737	−	1.88834i	−0.245955	−	0.0659034i	0.133735	−	0.991017i	$-0.457303\pi$
$821$	−7.04737	−	1.88834i	−0.245955	−	0.0659034i	−0.379690	+	0.925114i	$0.623969\pi$
$822$	−3.11579	+	1.04526i	−0.108676	+	0.0364575i
$823$	−0.153774	−	0.0887817i	−0.00536024	−	0.00309474i	0.497317	−	0.867569i	$-0.334318\pi$
$823$	−0.153774	−	0.0887817i	−0.00536024	−	0.00309474i	−0.502678	+	0.864474i	$0.667652\pi$
$824$	−21.1951	−	24.6979i	−0.738366	−	0.860392i
$825$			0.266184i			0.00926733i
$826$	6.94158	+	24.5312i	0.241529	+	0.853550i
$827$	28.8724	−	28.8724i	1.00399	−	1.00399i	0.00399887	−	0.999992i	$-0.498727\pi$
$827$	28.8724	−	28.8724i	1.00399	−	1.00399i	0.999992	−	0.00399887i	$-0.00127288\pi$
$828$	7.49847	+	9.91828i	0.260590	+	0.344684i
$829$	19.7283	−	5.28619i	0.685194	−	0.183597i	0.100604	−	0.994927i	$-0.467922\pi$
$829$	19.7283	−	5.28619i	0.685194	−	0.183597i	0.584589	+	0.811329i	$0.301256\pi$
$830$	11.6592	+	5.80161i	0.404697	+	0.201377i
$831$	−16.4258	−	28.4504i	−0.569806	−	0.986933i
$832$	40.1896	+	17.6665i	1.39332	+	0.612477i
$833$	0.718653	+	0.0690774i	0.0248998	+	0.00239339i
$834$	1.20746	+	19.4899i	0.0418108	+	0.674881i
$835$	−3.26247	+	12.1757i	−0.112903	+	0.421358i
$836$	−0.318261	+	0.753069i	−0.0110073	+	0.0260454i
$837$	−1.12552	−	4.20051i	−0.0389037	−	0.145191i
$838$	13.5865	+	2.75307i	0.469337	+	0.0951031i
$839$			2.84344i			0.0981663i	0.998795	+	0.0490832i	$0.0156299\pi$
$839$			2.84344i			0.0981663i	−0.998795	+	0.0490832i	$0.984370\pi$
$840$	−4.75348	+	11.7006i	−0.164011	+	0.403710i
$841$		−	14.8472i		−	0.511974i
$842$	−3.90941	+	19.2931i	−0.134727	+	0.664884i
$843$	−6.00260	−	22.4020i	−0.206741	−	0.771567i
$844$	0.410878	−	0.166759i	0.0141430	−	0.00574007i
$845$	7.47547	−	27.8988i	0.257164	−	0.959749i
$846$	−5.03212	+	0.311754i	−0.173008	+	0.0107183i
$847$	−29.0294	−	1.39196i	−0.997463	−	0.0478282i
$848$	−25.0069	+	41.9170i	−0.858742	+	1.43943i
$849$	−6.69680	−	11.5992i	−0.229834	−	0.398084i
$850$	0.139821	−	0.280992i	0.00479583	−	0.00963794i
$851$	−55.2579	+	14.8063i	−1.89422	+	0.507553i
$852$	23.5239	+	3.26831i	0.805916	+	0.111970i
$853$	8.51283	−	8.51283i	0.291474	−	0.291474i	−0.546188	−	0.837662i	$-0.683922\pi$
$853$	8.51283	−	8.51283i	0.291474	−	0.291474i	0.837662	+	0.546188i	$0.183922\pi$
$854$	5.82189	−	23.0077i	0.199221	−	0.787307i
$855$			5.57690i			0.190726i
$856$	0.991060	−	12.9846i	0.0338737	−	0.443805i
$857$	35.6618	+	20.5893i	1.21818	+	0.703318i	0.964529	−	0.263977i	$-0.0850342\pi$
$857$	35.6618	+	20.5893i	1.21818	+	0.703318i	0.253654	+	0.967295i	$0.418368\pi$
$858$	−0.305337	−	0.910175i	−0.0104240	−	0.0310729i
$859$	45.8305	+	12.2802i	1.56372	+	0.418996i	0.933837	−	0.357698i	$-0.116438\pi$
$859$	45.8305	+	12.2802i	1.56372	+	0.418996i	0.629878	+	0.776694i	$0.283105\pi$
$860$	−0.467644	−	3.75970i	−0.0159465	−	0.128205i
$861$	−6.30788	+	19.7115i	−0.214972	+	0.671766i
$862$	0.482477	+	7.78781i	0.0164332	+	0.265254i
$863$	−16.3347	−	28.2925i	−0.556040	−	0.963089i	−0.997822	−	0.0659665i	$-0.978987\pi$
$863$	−16.3347	−	28.2925i	−0.556040	−	0.963089i	0.441782	−	0.897122i	$-0.354346\pi$
$864$	4.75894	−	3.05818i	0.161902	−	0.104041i
$865$	−15.3464	+	26.5808i	−0.521795	+	0.903775i
$866$	32.3711	−	21.4626i	1.10001	−	0.729330i
$867$	12.0133	+	12.0133i	0.407993	+	0.407993i
$868$	1.74336	+	22.9449i	0.0591735	+	0.778802i
$869$	1.24381	−	1.24381i	0.0421933	−	0.0421933i
$870$	−8.80003	−	1.78317i	−0.298349	−	0.0604552i
$871$	16.6878	+	9.63471i	0.565445	+	0.326460i
$872$	9.15355	+	19.0747i	0.309978	+	0.645952i
$873$	−14.5418	+	8.39570i	−0.492165	+	0.284151i
$874$	−21.7748	−	19.2342i	−0.736544	−	0.650606i
$875$	−6.77823	−	31.2061i	−0.229146	−	1.05496i
$876$	11.8881	−	15.2656i	0.401663	−	0.515777i
$877$	10.8234	−	40.3934i	0.365479	−	1.36399i	−0.501290	−	0.865279i	$-0.667141\pi$
$877$	10.8234	−	40.3934i	0.365479	−	1.36399i	0.866770	−	0.498709i	$-0.166192\pi$
$878$	17.3569	−	34.8813i	0.585766	−	1.17719i
$879$	−0.308370	+	0.534113i	−0.0104011	+	0.0180152i
$880$	0.598877	−	0.581985i	0.0201881	−	0.0196187i
$881$	0.228752			0.00770686			0.00385343	−	0.999993i	$-0.498773\pi$
$881$	0.228752			0.00770686			0.00385343	+	0.999993i	$0.498773\pi$
$882$	−9.89379	−	0.336048i	−0.333141	−	0.0113153i
$883$	18.1410	+	18.1410i	0.610492	+	0.610492i	0.943074	−	0.332582i	$-0.107920\pi$
$883$	18.1410	+	18.1410i	0.610492	+	0.610492i	−0.332582	+	0.943074i	$0.607920\pi$
$884$	−0.155774	+	1.12120i	−0.00523925	+	0.0377099i
$885$	−2.97621	−	11.1074i	−0.100044	−	0.373370i
$886$	8.82224	−	2.95960i	0.296389	−	0.0994299i
$887$	−39.9928	+	23.0899i	−1.34283	+	0.775282i	−0.987221	−	0.159354i	$-0.949059\pi$
$887$	−39.9928	+	23.0899i	−1.34283	+	0.775282i	−0.355606	+	0.934636i	$0.615726\pi$
$888$	4.80344	+	25.5797i	0.161193	+	0.858400i
$889$	7.65949	+	4.92585i	0.256891	+	0.165208i
$890$	5.44869	−	6.16840i	0.182641	−	0.206765i
$891$	−0.119488	−	0.0320168i	−0.00400301	−	0.00107260i
$892$	15.6951	−	37.1378i	0.525510	−	1.24346i
$893$	11.3794	−	3.04909i	0.380796	−	0.102034i
$894$	−4.01436	+	2.66159i	−0.134260	+	0.0890170i
$895$	13.7872			0.460854
$896$	−27.7398	+	11.2473i	−0.926722	+	0.375748i
$897$	34.1161			1.13910
$898$	−45.0904	+	29.8957i	−1.50469	+	0.997634i
$899$	−15.8024	+	4.23423i	−0.527038	+	0.141220i
$900$	−1.67530	+	3.96410i	−0.0558433	+	0.132137i
$901$	−1.21565	−	0.325732i	−0.0404991	−	0.0108517i
$902$	0.905975	−	1.02564i	0.0301657	−	0.0341502i
$903$	2.64005	−	1.35999i	0.0878553	−	0.0452577i
$904$	−4.11290	−	21.9024i	−0.136793	−	0.728463i
$905$	−15.1878	+	8.76866i	−0.504858	+	0.291480i
$906$	−3.98747	+	1.33768i	−0.132475	+	0.0444415i
$907$	−6.85745	−	25.5923i	−0.227698	−	0.849780i	−0.981306	−	0.192456i	$-0.938355\pi$
$907$	−6.85745	−	25.5923i	−0.227698	−	0.849780i	0.753608	−	0.657324i	$-0.228312\pi$
$908$	5.74788	−	41.3708i	0.190750	−	1.37294i
$909$	−11.0925	−	11.0925i	−0.367915	−	0.367915i
$910$	17.7436	+	29.7652i	0.588193	+	0.986708i
$911$	53.1180			1.75988			0.879938	−	0.475088i	$-0.157584\pi$
$911$	53.1180			1.75988			0.879938	+	0.475088i	$0.157584\pi$
$912$	−9.47930	+	9.21192i	−0.313891	+	0.305037i
$913$	0.337488	−	0.584547i	0.0111692	−	0.0193457i
$914$	20.0064	−	40.2058i	0.661752	−	1.32989i
$915$	−2.77056	+	10.3399i	−0.0915920	+	0.341826i
$916$	1.94090	−	2.49231i	0.0641291	−	0.0823484i
$917$	−25.3658	+	23.0445i	−0.837651	+	0.760996i
$918$	0.109318	+	0.0965631i	0.00360803	+	0.00318706i
$919$	−7.57684	+	4.37449i	−0.249937	+	0.144301i	−0.619735	−	0.784811i	$-0.712760\pi$
$919$	−7.57684	+	4.37449i	−0.249937	+	0.144301i	0.369798	+	0.929112i	$0.379427\pi$
$920$	12.8391	+	26.7549i	0.423291	+	0.882082i
$921$	−21.9876	−	12.6945i	−0.724515	−	0.418299i
$922$	−45.9493	−	9.31083i	−1.51326	−	0.306636i
$923$	46.0788	−	46.0788i	1.51670	−	1.51670i
$924$	0.590048	+	0.283400i	0.0194111	+	0.00932319i
$925$	−14.0010	−	14.0010i	−0.460352	−	0.460352i
$926$	−8.98076	+	5.95441i	−0.295126	+	0.195674i
$927$	−5.75331	+	9.96503i	−0.188964	+	0.327294i
$928$	−11.5049	−	17.9032i	−0.377668	−	0.587702i
$929$	−28.6170	−	49.5661i	−0.938893	−	1.62621i	−0.767540	−	0.641001i	$-0.778519\pi$
$929$	−28.6170	−	49.5661i	−0.938893	−	1.62621i	−0.171353	−	0.985210i	$-0.554814\pi$
$930$	−0.641784	−	10.3592i	−0.0210449	−	0.339692i
$931$	22.8137	−	3.82161i	0.747688	−	0.125248i
$932$	−0.0593142	−	0.476867i	−0.00194290	−	0.0156203i
$933$	−31.3760	−	8.40717i	−1.02720	−	0.275238i
$934$	−15.1374	−	45.1228i	−0.495310	−	1.47646i
$935$	0.0186474	+	0.0107661i	0.000609834	+	0.000352088i
$936$	1.18125	−	15.4764i	0.0386102	−	0.505861i
$937$		−	12.0202i		−	0.392683i	−0.980536	−	0.196342i	$-0.937094\pi$
$937$		−	12.0202i		−	0.392683i	0.980536	−	0.196342i	$-0.0629061\pi$
$938$	−12.6421	+	3.57734i	−0.412781	+	0.116804i
$939$	−17.1385	+	17.1385i	−0.559293	+	0.559293i
$940$	−11.9188	−	1.65594i	−0.388748	−	0.0540110i
$941$	8.92984	−	2.39274i	0.291104	−	0.0780012i	−0.110312	−	0.993897i	$-0.535185\pi$
$941$	8.92984	−	2.39274i	0.291104	−	0.0780012i	0.401416	+	0.915896i	$0.368518\pi$
$942$	−4.63958	+	9.32393i	−0.151166	+	0.303790i
$943$	24.3156	+	42.1159i	0.791825	+	1.37148i
$944$	13.9636	−	23.4059i	0.454476	−	0.761798i
$945$	4.46002	+	0.213857i	0.145084	+	0.00695678i
$946$	−0.195991	+	0.0121422i	−0.00637222	+	0.000394778i
$947$	11.9221	−	44.4940i	0.387417	−	1.44586i	−0.446904	−	0.894582i	$-0.647473\pi$
$947$	11.9221	−	44.4940i	0.387417	−	1.44586i	0.834321	−	0.551279i	$-0.185860\pi$
$948$	26.3515	−	10.6950i	0.855857	−	0.347357i
$949$	−13.7404	−	51.2799i	−0.446033	−	1.66462i
$950$	1.99707	−	9.85560i	0.0647934	−	0.319758i
$951$			27.3418i			0.886618i
$952$	−0.474008	−	0.609107i	−0.0153627	−	0.0197413i
$953$		−	30.5529i		−	0.989704i	−0.868977	−	0.494852i	$-0.835222\pi$
$953$		−	30.5529i		−	0.989704i	0.868977	−	0.494852i	$-0.164778\pi$
$954$	16.9131	+	3.42714i	0.547581	+	0.110958i
$955$	10.0247	+	37.4126i	0.324390	+	1.21064i
$956$	−15.1608	+	35.8735i	−0.490334	+	1.16023i
$957$	−0.120448	+	0.449518i	−0.00389353	+	0.0145308i
$958$	1.16199	+	18.7560i	0.0375422	+	0.605980i
$959$	−2.81564	−	5.46578i	−0.0909217	−	0.176499i
$960$	12.5816	−	4.89792i	0.406069	−	0.158080i
$961$	6.04448	+	10.4693i	0.194983	+	0.337721i
$962$	63.9349	+	31.8140i	2.06135	+	1.02572i
$963$	−4.44722	+	1.19163i	−0.143310	+	0.0383997i
$964$	−19.0340	−	25.1763i	−0.613042	−	0.810875i
$965$	10.1020	−	10.1020i	0.325194	−	0.325194i
$966$	−16.2171	+	16.6764i	−0.521778	+	0.536554i
$967$		−	29.3072i		−	0.942455i	−0.882012	−	0.471228i	$-0.843811\pi$
$967$		−	29.3072i		−	0.942455i	0.882012	−	0.471228i	$-0.156189\pi$
$968$	20.2337	+	23.5776i	0.650336	+	0.757814i
$969$	−0.295159	−	0.170410i	−0.00948187	−	0.00547436i
$970$	−37.9953	+	12.7463i	−1.21996	+	0.409260i
$971$	−14.7240	−	3.94528i	−0.472516	−	0.126610i	0.0146998	−	0.999892i	$-0.495321\pi$
$971$	−14.7240	−	3.94528i	−0.472516	−	0.126610i	−0.487216	+	0.873282i	$0.661987\pi$
$972$	−1.57796	−	1.22884i	−0.0506130	−	0.0394151i
$973$	−35.6998	+	7.75430i	−1.14448	+	0.248591i
$974$	−47.4113	+	2.93727i	−1.51916	+	0.0941161i
$975$	5.90411	+	10.2262i	0.189083	+	0.327501i
$976$	−22.1516	+	12.3702i	−0.709054	+	0.395959i
$977$	−15.4876	+	26.8253i	−0.495492	+	0.858217i	−0.999986	−	0.00519784i	$-0.998345\pi$
$977$	−15.4876	+	26.8253i	−0.495492	+	0.858217i	0.504495	+	0.863415i	$0.331679\pi$
$978$	14.1775	+	21.3833i	0.453346	+	0.683762i
$979$	−0.301634	−	0.301634i	−0.00964027	−	0.00964027i
$980$	−22.9841	−	5.47567i	−0.734199	−	0.174914i
$981$	5.28934	−	5.28934i	0.168875	−	0.168875i
$982$	4.51497	−	22.2816i	0.144078	−	0.711033i
$983$	−36.2320	−	20.9186i	−1.15562	−	0.667199i	−0.205371	−	0.978684i	$-0.565840\pi$
$983$	−36.2320	−	20.9186i	−1.15562	−	0.667199i	−0.950251	+	0.311485i	$0.899174\pi$
$984$	19.9473	−	9.57226i	0.635896	−	0.305152i
$985$	35.9777	−	20.7718i	1.14635	−	0.661843i
$986$	0.363272	−	0.411256i	0.0115689	−	0.0130971i
$987$	−2.00209	−	9.21735i	−0.0637272	−	0.293392i
$988$	4.47662	+	35.9906i	0.142420	+	1.14501i
$989$	1.80610	−	6.74045i	0.0574306	−	0.214334i
$990$	−0.264329	−	0.131530i	−0.00840093	−	0.00418030i
$991$	−24.9333	+	43.1857i	−0.792032	+	1.37184i	0.132675	+	0.991160i	$0.457643\pi$
$991$	−24.9333	+	43.1857i	−0.792032	+	1.37184i	−0.924707	+	0.380680i	$0.875690\pi$
$992$	16.5479	−	18.2022i	0.525397	−	0.577921i
$993$	−24.3069			−0.771355
$994$	0.620277	+	44.4276i	0.0196740	+	1.40916i
$995$	−2.93479	−	2.93479i	−0.0930392	−	0.0930392i
$996$	8.70500	−	6.58120i	0.275828	−	0.208533i
$997$	3.98587	+	14.8755i	0.126234	+	0.471111i	0.999881	−	0.0154498i	$-0.00491802\pi$
$997$	3.98587	+	14.8755i	0.126234	+	0.471111i	−0.873647	+	0.486560i	$0.838251\pi$
$998$	−14.7046	−	43.8328i	−0.465467	−	1.38750i
$999$	7.96906	−	4.60094i	0.252130	−	0.145567i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bq.b.109.6	yes	120
7.2	even	3	inner	336.2.bq.b.205.24	yes	120
16.5	even	4	inner	336.2.bq.b.277.24	yes	120
112.37	even	12	inner	336.2.bq.b.37.6	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bq.b.37.6	✓	120	112.37	even	12	inner
336.2.bq.b.109.6	yes	120	1.1	even	1	trivial
336.2.bq.b.205.24	yes	120	7.2	even	3	inner
336.2.bq.b.277.24	yes	120	16.5	even	4	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.bq (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.17868 + 0.781485i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.778563 - 1.84224i) q^{4} +(-1.63016 - 0.436800i) q^{5} +(-0.936252 + 1.05992i) q^{6} +(-2.22530 - 1.43110i) q^{7} +(0.522007 + 2.77984i) q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})\)	\(q+(-1.17868 + 0.781485i) q^{2} +(0.965926 - 0.258819i) q^{3} +(0.778563 - 1.84224i) q^{4} +(-1.63016 - 0.436800i) q^{5} +(-0.936252 + 1.05992i) q^{6} +(-2.22530 - 1.43110i) q^{7} +(0.522007 + 2.77984i) q^{8} +(0.866025 - 0.500000i) q^{9} +(2.26279 - 0.759099i) q^{10} +(-0.0320168 - 0.119488i) q^{11} +(0.275227 - 1.98097i) q^{12} +(-3.88035 - 3.88035i) q^{13} +(3.74129 - 0.0522342i) q^{14} -1.68767 q^{15} +(-2.78768 - 2.86859i) q^{16} +(0.0515689 - 0.0893200i) q^{17} +(-0.630022 + 1.26612i) q^{18} +(0.855270 - 3.19191i) q^{19} +(-2.07387 + 2.66307i) q^{20} +(-2.51987 - 0.806385i) q^{21} +(0.131116 + 0.115818i) q^{22} +(-5.38399 + 3.10845i) q^{23} +(1.22370 + 2.55001i) q^{24} +(-1.86350 - 1.07589i) q^{25} +(7.60611 + 1.54125i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-4.36896 + 2.98533i) q^{28} +(-2.66015 - 2.66015i) q^{29} +(1.98921 - 1.31888i) q^{30} +(2.17434 - 3.76607i) q^{31} +(5.52754 + 1.20262i) q^{32} +(-0.0618518 - 0.107130i) q^{33} +(0.00901909 + 0.145580i) q^{34} +(3.00249 + 3.30493i) q^{35} +(-0.246864 - 1.98471i) q^{36} +(8.88833 + 2.38162i) q^{37} +(1.48634 + 4.43061i) q^{38} +(-4.75243 - 2.74382i) q^{39} +(0.363280 - 4.75959i) q^{40} -7.82242i q^{41} +(3.60029 - 1.01877i) q^{42} +(-0.793700 + 0.793700i) q^{43} +(-0.245053 - 0.0340466i) q^{44} +(-1.63016 + 0.436800i) q^{45} +(3.91679 - 7.87137i) q^{46} +(1.78253 + 3.08744i) q^{47} +(-3.43514 - 2.04935i) q^{48} +(2.90392 + 6.36924i) q^{49} +(3.03726 - 0.188167i) q^{50} +(0.0266940 - 0.0996235i) q^{51} +(-10.1696 + 4.12743i) q^{52} +(-3.15822 - 11.7866i) q^{53} +(-0.280858 + 1.38604i) q^{54} +0.208770i q^{55} +(2.81660 - 6.93302i) q^{56} -3.30451i q^{57} +(5.21432 + 1.05659i) q^{58} +(1.76351 + 6.58151i) q^{59} +(-1.31395 + 3.10908i) q^{60} +(1.64166 - 6.12674i) q^{61} +(0.380279 + 6.13820i) q^{62} +(-2.64272 - 0.126718i) q^{63} +(-7.45502 + 2.90219i) q^{64} +(4.63065 + 8.02052i) q^{65} +(0.156624 + 0.0779360i) q^{66} +(-3.39177 + 0.908823i) q^{67} +(-0.124399 - 0.164543i) q^{68} +(-4.39601 + 4.39601i) q^{69} +(-6.12172 - 1.54905i) q^{70} +11.8749i q^{71} +(1.84199 + 2.14641i) q^{72} +(8.37816 + 4.83713i) q^{73} +(-12.3377 + 4.13893i) q^{74} +(-2.07847 - 0.556923i) q^{75} +(-5.21438 - 4.06071i) q^{76} +(-0.0997527 + 0.311717i) q^{77} +(7.74584 - 0.479877i) q^{78} +(7.10979 + 12.3145i) q^{79} +(3.29136 + 5.89393i) q^{80} +(0.500000 - 0.866025i) q^{81} +(6.11310 + 9.22011i) q^{82} +(3.85826 + 3.85826i) q^{83} +(-3.44743 + 4.01438i) q^{84} +(-0.123081 + 0.123081i) q^{85} +(0.315252 - 1.55578i) q^{86} +(-3.25800 - 1.88101i) q^{87} +(0.315446 - 0.151375i) q^{88} +(2.98637 - 1.72418i) q^{89} +(1.58008 - 1.78879i) q^{90} +(3.08178 + 14.1881i) q^{91} +(1.53473 + 12.3387i) q^{92} +(1.12552 - 4.20051i) q^{93} +(-4.51382 - 2.24607i) q^{94} +(-2.78845 + 4.82974i) q^{95} +(5.65046 - 0.268992i) q^{96} -16.7914 q^{97} +(-8.40025 - 5.23792i) q^{98} +(-0.0874716 - 0.0874716i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8}+O(q^{10}) \) 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8	\( 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8} - 8 q^{10} + 4 q^{11} + 8 q^{13} + 32 q^{14} + 8 q^{15} + 12 q^{16} - 16 q^{17} - 4 q^{18} - 8 q^{19} - 64 q^{20} + 12 q^{21} + 24 q^{22} - 8 q^{24} - 8 q^{26} - 8 q^{28} - 64 q^{29} - 52 q^{31} - 4 q^{33} + 32 q^{34} - 8 q^{35} + 24 q^{37} - 40 q^{38} - 60 q^{40} + 24 q^{42} - 32 q^{43} - 12 q^{44} - 8 q^{45} + 4 q^{46} - 8 q^{47} + 32 q^{48} + 20 q^{49} - 16 q^{50} - 8 q^{51} - 16 q^{52} + 4 q^{54} - 104 q^{56} + 4 q^{58} + 52 q^{59} - 16 q^{60} + 4 q^{61} - 144 q^{62} + 8 q^{63} - 64 q^{64} + 24 q^{65} + 24 q^{66} + 12 q^{68} + 24 q^{69} - 48 q^{70} + 4 q^{72} + 16 q^{74} + 16 q^{75} - 8 q^{76} + 8 q^{77} - 56 q^{78} + 28 q^{79} + 68 q^{80} + 60 q^{81} + 28 q^{82} + 8 q^{83} + 24 q^{84} - 80 q^{85} + 36 q^{86} + 40 q^{88} + 8 q^{90} + 36 q^{91} - 184 q^{92} + 4 q^{93} + 60 q^{94} - 16 q^{95} + 36 q^{96} + 24 q^{97} + 124 q^{98} - 8 q^{99}+O(q^{100}) \) 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8 - 8 * q^10 + 4 * q^11 + 8 * q^13 + 32 * q^14 + 8 * q^15 + 12 * q^16 - 16 * q^17 - 4 * q^18 - 8 * q^19 - 64 * q^20 + 12 * q^21 + 24 * q^22 - 8 * q^24 - 8 * q^26 - 8 * q^28 - 64 * q^29 - 52 * q^31 - 4 * q^33 + 32 * q^34 - 8 * q^35 + 24 * q^37 - 40 * q^38 - 60 * q^40 + 24 * q^42 - 32 * q^43 - 12 * q^44 - 8 * q^45 + 4 * q^46 - 8 * q^47 + 32 * q^48 + 20 * q^49 - 16 * q^50 - 8 * q^51 - 16 * q^52 + 4 * q^54 - 104 * q^56 + 4 * q^58 + 52 * q^59 - 16 * q^60 + 4 * q^61 - 144 * q^62 + 8 * q^63 - 64 * q^64 + 24 * q^65 + 24 * q^66 + 12 * q^68 + 24 * q^69 - 48 * q^70 + 4 * q^72 + 16 * q^74 + 16 * q^75 - 8 * q^76 + 8 * q^77 - 56 * q^78 + 28 * q^79 + 68 * q^80 + 60 * q^81 + 28 * q^82 + 8 * q^83 + 24 * q^84 - 80 * q^85 + 36 * q^86 + 40 * q^88 + 8 * q^90 + 36 * q^91 - 184 * q^92 + 4 * q^93 + 60 * q^94 - 16 * q^95 + 36 * q^96 + 24 * q^97 + 124 * q^98 - 8 * q^99

Introduction

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