LMFDB - Embedded newform 429.2.bj.b.73.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, 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:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.10
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.b.382.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.19422 - 0.189145i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-0.511738 + 0.166274i) q^{4} +(-0.797331 - 0.126285i) q^{5} +(-0.189145 + 1.19422i) q^{6} +(-1.27410 + 2.50056i) q^{7} +(-2.73431 + 1.39320i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(1.19422 - 0.189145i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-0.511738 + 0.166274i) q^{4} +(-0.797331 - 0.126285i) q^{5} +(-0.189145 + 1.19422i) q^{6} +(-1.27410 + 2.50056i) q^{7} +(-2.73431 + 1.39320i) q^{8} +(-0.809017 - 0.587785i) q^{9} -0.976071 q^{10} +(-2.34015 - 2.35026i) q^{11} -0.538073i q^{12} +(3.18451 + 1.69083i) q^{13} +(-1.04858 + 3.22720i) q^{14} +(0.366493 - 0.719283i) q^{15} +(-2.13122 + 1.54842i) q^{16} +(-5.75395 + 4.18049i) q^{17} +(-1.07732 - 0.548921i) q^{18} +(-0.420326 - 0.824936i) q^{19} +(0.429023 - 0.0679505i) q^{20} +(-1.98446 - 1.98446i) q^{21} +(-3.23918 - 2.36409i) q^{22} +6.18897i q^{23} +(-0.480064 - 3.03101i) q^{24} +(-4.13549 - 1.34370i) q^{25} +(4.12280 + 1.41688i) q^{26} +(0.809017 - 0.587785i) q^{27} +(0.236228 - 1.49148i) q^{28} +(6.23487 - 2.02583i) q^{29} +(0.301623 - 0.928299i) q^{30} +(0.126933 + 0.801424i) q^{31} +(2.08767 - 2.08767i) q^{32} +(2.95837 - 1.49934i) q^{33} +(-6.08074 + 6.08074i) q^{34} +(1.33166 - 1.83288i) q^{35} +(0.511738 + 0.166274i) q^{36} +(10.7262 + 5.46527i) q^{37} +(-0.657992 - 0.905648i) q^{38} +(-2.59214 + 2.50616i) q^{39} +(2.35609 - 0.765540i) q^{40} +(-2.92870 - 5.74790i) q^{41} +(-2.74522 - 1.99452i) q^{42} +0.964975 q^{43} +(1.58833 + 0.813611i) q^{44} +(0.570826 + 0.570826i) q^{45} +(1.17061 + 7.39096i) q^{46} +(3.33990 + 6.55491i) q^{47} +(-0.814053 - 2.50540i) q^{48} +(-0.514984 - 0.708815i) q^{49} +(-5.19283 - 0.822463i) q^{50} +(-2.19781 - 6.76418i) q^{51} +(-1.91078 - 0.335759i) q^{52} +(-3.00777 - 2.18527i) q^{53} +(0.854964 - 0.854964i) q^{54} +(1.56907 + 2.16946i) q^{55} -8.61239i q^{56} +(0.914448 - 0.144834i) q^{57} +(7.06261 - 3.59858i) q^{58} +(-5.11705 - 2.60727i) q^{59} +(-0.0679505 + 0.429023i) q^{60} +(2.47577 + 3.40760i) q^{61} +(0.303171 + 0.933064i) q^{62} +(2.50056 - 1.27410i) q^{63} +(5.19509 - 7.15043i) q^{64} +(-2.32558 - 1.75030i) q^{65} +(3.24934 - 2.35010i) q^{66} +(0.353577 + 0.353577i) q^{67} +(2.24941 - 3.09605i) q^{68} +(-5.88606 - 1.91250i) q^{69} +(1.24361 - 2.44073i) q^{70} +(-3.47502 - 0.550389i) q^{71} +(3.03101 + 0.480064i) q^{72} +(-1.39598 + 2.73976i) q^{73} +(13.8431 + 4.49791i) q^{74} +(2.55588 - 3.51786i) q^{75} +(0.352262 + 0.352262i) q^{76} +(8.85855 - 2.85722i) q^{77} +(-2.62155 + 3.48318i) q^{78} +(-1.66894 + 2.29710i) q^{79} +(1.89483 - 0.965463i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-4.58469 - 6.31028i) q^{82} +(-1.79603 + 11.3397i) q^{83} +(1.34549 + 0.685559i) q^{84} +(5.11574 - 2.60660i) q^{85} +(1.15239 - 0.182520i) q^{86} +6.55573i q^{87} +(9.67307 + 3.16604i) q^{88} +(10.4331 - 10.4331i) q^{89} +(0.789658 + 0.573720i) q^{90} +(-8.28540 + 5.80879i) q^{91} +(-1.02906 - 3.16713i) q^{92} +(-0.801424 - 0.126933i) q^{93} +(5.22839 + 7.19626i) q^{94} +(0.230962 + 0.710828i) q^{95} +(1.34036 + 2.63061i) q^{96} +(2.61048 + 16.4819i) q^{97} +(-0.749071 - 0.749071i) q^{98} +(0.511772 + 3.27690i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.19422	−	0.189145i	0.844438	−	0.133746i	0.280798	−	0.959767i	$-0.409401\pi$
$2$	1.19422	−	0.189145i	0.844438	−	0.133746i	0.563639	+	0.826021i	$0.309401\pi$
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$4$	−0.511738	+	0.166274i	−0.255869	+	0.0831369i
$5$	−0.797331	−	0.126285i	−0.356577	−	0.0564763i	−0.0244240	−	0.999702i	$-0.507775\pi$
$5$	−0.797331	−	0.126285i	−0.356577	−	0.0564763i	−0.332153	+	0.943225i	$0.607775\pi$
$6$	−0.189145	+	1.19422i	−0.0772182	+	0.487536i
$7$	−1.27410	+	2.50056i	−0.481565	+	0.945124i	0.514584	+	0.857440i	$0.327946\pi$
$7$	−1.27410	+	2.50056i	−0.481565	+	0.945124i	−0.996148	+	0.0876836i	$0.972054\pi$
$8$	−2.73431	+	1.39320i	−0.966725	+	0.492571i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	−0.976071			−0.308661
$11$	−2.34015	−	2.35026i	−0.705581	−	0.708629i
$11$	−2.34015	−	2.35026i	−0.705581	−	0.708629i
$12$		−	0.538073i		−	0.155328i
$13$	3.18451	+	1.69083i	0.883224	+	0.468951i
$13$	3.18451	+	1.69083i	0.883224	+	0.468951i
$14$	−1.04858	+	3.22720i	−0.280245	+	0.862506i
$15$	0.366493	−	0.719283i	0.0946281	−	0.185718i
$16$	−2.13122	+	1.54842i	−0.532804	+	0.387105i
$17$	−5.75395	+	4.18049i	−1.39554	+	1.01392i	−0.400306	+	0.916381i	$0.631096\pi$
$17$	−5.75395	+	4.18049i	−1.39554	+	1.01392i	−0.995232	+	0.0975363i	$0.968904\pi$
$18$	−1.07732	−	0.548921i	−0.253926	−	0.129382i
$19$	−0.420326	−	0.824936i	−0.0964293	−	0.189253i	0.837753	−	0.546050i	$-0.183869\pi$
$19$	−0.420326	−	0.824936i	−0.0964293	−	0.189253i	−0.934182	+	0.356796i	$0.883869\pi$
$20$	0.429023	−	0.0679505i	0.0959324	−	0.0151942i
$21$	−1.98446	−	1.98446i	−0.433044	−	0.433044i
$22$	−3.23918	−	2.36409i	−0.690596	−	0.504025i
$23$			6.18897i			1.29049i	0.763976	+	0.645244i	$0.223244\pi$
$23$			6.18897i			1.29049i	−0.763976	+	0.645244i	$0.776756\pi$
$24$	−0.480064	−	3.03101i	−0.0979927	−	0.618702i
$25$	−4.13549	−	1.34370i	−0.827099	−	0.268741i
$26$	4.12280	+	1.41688i	0.808548	+	0.277872i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	0.236228	−	1.49148i	0.0446428	−	0.281864i
$29$	6.23487	−	2.02583i	1.15779	−	0.376188i	0.333716	−	0.942674i	$-0.391697\pi$
$29$	6.23487	−	2.02583i	1.15779	−	0.376188i	0.824071	+	0.566486i	$0.191697\pi$
$30$	0.301623	−	0.928299i	0.0550685	−	0.169483i
$31$	0.126933	+	0.801424i	0.0227979	+	0.143940i	0.996462	−	0.0840486i	$-0.0267851\pi$
$31$	0.126933	+	0.801424i	0.0227979	+	0.143940i	−0.973664	+	0.227989i	$0.926785\pi$
$32$	2.08767	−	2.08767i	0.369051	−	0.369051i
$33$	2.95837	−	1.49934i	0.514987	−	0.261002i
$34$	−6.08074	+	6.08074i	−1.04284	+	1.04284i
$35$	1.33166	−	1.83288i	0.225092	−	0.309813i
$36$	0.511738	+	0.166274i	0.0852897	+	0.0277123i
$37$	10.7262	+	5.46527i	1.76338	+	0.898486i	0.947174	+	0.320721i	$0.103925\pi$
$37$	10.7262	+	5.46527i	1.76338	+	0.898486i	0.816204	+	0.577764i	$0.196075\pi$
$38$	−0.657992	−	0.905648i	−0.106740	−	0.146916i
$39$	−2.59214	+	2.50616i	−0.415074	+	0.401306i
$40$	2.35609	−	0.765540i	0.372531	−	0.121043i
$41$	−2.92870	−	5.74790i	−0.457386	−	0.897671i	−0.998394	−	0.0566533i	$-0.981957\pi$
$41$	−2.92870	−	5.74790i	−0.457386	−	0.897671i	0.541008	−	0.841018i	$-0.318043\pi$
$42$	−2.74522	−	1.99452i	−0.423597	−	0.307761i
$43$	0.964975			0.147157			0.0735786	−	0.997289i	$-0.476558\pi$
$43$	0.964975			0.147157			0.0735786	+	0.997289i	$0.476558\pi$
$44$	1.58833	+	0.813611i	0.239450	+	0.122657i
$45$	0.570826	+	0.570826i	0.0850937	+	0.0850937i
$46$	1.17061	+	7.39096i	0.172597	+	1.08974i
$47$	3.33990	+	6.55491i	0.487174	+	0.956133i	0.995481	+	0.0949569i	$0.0302713\pi$
$47$	3.33990	+	6.55491i	0.487174	+	0.956133i	−0.508308	+	0.861176i	$0.669729\pi$
$48$	−0.814053	−	2.50540i	−0.117498	−	0.361623i
$49$	−0.514984	−	0.708815i	−0.0735692	−	0.101259i
$50$	−5.19283	−	0.822463i	−0.734376	−	0.116314i
$51$	−2.19781	−	6.76418i	−0.307755	−	0.947174i
$52$	−1.91078	−	0.335759i	−0.264977	−	0.0465614i
$53$	−3.00777	−	2.18527i	−0.413149	−	0.300171i	0.361726	−	0.932284i	$-0.382188\pi$
$53$	−3.00777	−	2.18527i	−0.413149	−	0.300171i	−0.774876	+	0.632114i	$0.782188\pi$
$54$	0.854964	−	0.854964i	0.116346	−	0.116346i
$55$	1.56907	+	2.16946i	0.211573	+	0.292530i
$56$		−	8.61239i		−	1.15088i
$57$	0.914448	−	0.144834i	0.121122	−	0.0191838i
$58$	7.06261	−	3.59858i	0.927366	−	0.472516i
$59$	−5.11705	−	2.60727i	−0.666183	−	0.339437i	0.0879822	−	0.996122i	$-0.471958\pi$
$59$	−5.11705	−	2.60727i	−0.666183	−	0.339437i	−0.754165	+	0.656685i	$0.771958\pi$
$60$	−0.0679505	+	0.429023i	−0.00877237	+	0.0553866i
$61$	2.47577	+	3.40760i	0.316989	+	0.436298i	0.937545	−	0.347864i	$-0.113093\pi$
$61$	2.47577	+	3.40760i	0.316989	+	0.436298i	−0.620556	+	0.784162i	$0.713093\pi$
$62$	0.303171	+	0.933064i	0.0385027	+	0.118499i
$63$	2.50056	−	1.27410i	0.315041	−	0.160522i
$64$	5.19509	−	7.15043i	0.649386	−	0.893804i
$65$	−2.32558	−	1.75030i	−0.288453	−	0.217098i
$66$	3.24934	−	2.35010i	0.399966	−	0.289277i
$67$	0.353577	+	0.353577i	0.0431963	+	0.0431963i	0.728375	−	0.685179i	$-0.240276\pi$
$67$	0.353577	+	0.353577i	0.0431963	+	0.0431963i	−0.685179	+	0.728375i	$0.740276\pi$
$68$	2.24941	−	3.09605i	0.272781	−	0.375451i
$69$	−5.88606	−	1.91250i	−0.708598	−	0.230237i
$70$	1.24361	−	2.44073i	0.148640	−	0.291723i
$71$	−3.47502	−	0.550389i	−0.412409	−	0.0653192i	−0.0532173	−	0.998583i	$-0.516948\pi$
$71$	−3.47502	−	0.550389i	−0.412409	−	0.0653192i	−0.359192	+	0.933264i	$0.616948\pi$
$72$	3.03101	+	0.480064i	0.357208	+	0.0565761i
$73$	−1.39598	+	2.73976i	−0.163387	+	0.320665i	−0.958156	−	0.286247i	$-0.907592\pi$
$73$	−1.39598	+	2.73976i	−0.163387	+	0.320665i	0.794769	+	0.606912i	$0.207592\pi$
$74$	13.8431	+	4.49791i	1.60923	+	0.522871i
$75$	2.55588	−	3.51786i	0.295127	−	0.406208i
$76$	0.352262	+	0.352262i	0.0404072	+	0.0404072i
$77$	8.85855	−	2.85722i	1.00953	−	0.325611i
$78$	−2.62155	+	3.48318i	−0.296832	+	0.394393i
$79$	−1.66894	+	2.29710i	−0.187770	+	0.258444i	−0.892515	−	0.451017i	$-0.851061\pi$
$79$	−1.66894	+	2.29710i	−0.187770	+	0.258444i	0.704745	+	0.709461i	$0.251061\pi$
$80$	1.89483	−	0.965463i	0.211848	−	0.107942i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	−4.58469	−	6.31028i	−0.506294	−	0.696854i
$83$	−1.79603	+	11.3397i	−0.197140	+	1.24469i	0.668380	+	0.743820i	$0.266988\pi$
$83$	−1.79603	+	11.3397i	−0.197140	+	1.24469i	−0.865520	+	0.500874i	$0.833012\pi$
$84$	1.34549	+	0.685559i	0.146805	+	0.0748007i
$85$	5.11574	−	2.60660i	0.554880	−	0.282725i
$86$	1.15239	−	0.182520i	0.124265	−	0.0196817i
$87$			6.55573i			0.702849i
$88$	9.67307	+	3.16604i	1.03115	+	0.337501i
$89$	10.4331	−	10.4331i	1.10590	−	1.10590i	0.112220	−	0.993683i	$-0.464204\pi$
$89$	10.4331	−	10.4331i	1.10590	−	1.10590i	0.993683	−	0.112220i	$-0.0357961\pi$
$90$	0.789658	+	0.573720i	0.0832373	+	0.0604754i
$91$	−8.28540	+	5.80879i	−0.868546	+	0.608926i
$92$	−1.02906	−	3.16713i	−0.107287	−	0.330196i
$93$	−0.801424	−	0.126933i	−0.0831038	−	0.0131623i
$94$	5.22839	+	7.19626i	0.539267	+	0.742237i
$95$	0.230962	+	0.710828i	0.0236962	+	0.0729294i
$96$	1.34036	+	2.63061i	0.136800	+	0.268486i
$97$	2.61048	+	16.4819i	0.265055	+	1.67349i	0.657301	+	0.753628i	$0.271698\pi$
$97$	2.61048	+	16.4819i	0.265055	+	1.67349i	−0.392246	+	0.919860i	$0.628302\pi$
$98$	−0.749071	−	0.749071i	−0.0756676	−	0.0756676i
$99$	0.511772	+	3.27690i	0.0514351	+	0.329341i
$100$	2.33971			0.233971
$101$	−9.17814	−	6.66831i	−0.913259	−	0.663521i	0.0285781	−	0.999592i	$-0.490902\pi$
$101$	−9.17814	−	6.66831i	−0.913259	−	0.663521i	−0.941837	+	0.336070i	$0.890902\pi$
$102$	−3.90407	−	7.66218i	−0.386561	−	0.758669i
$103$	−3.46010	+	1.12425i	−0.340934	+	0.110776i	−0.474480	−	0.880267i	$-0.657364\pi$
$103$	−3.46010	+	1.12425i	−0.340934	+	0.110776i	0.133546	+	0.991043i	$0.457364\pi$
$104$	−11.0631	−	0.186580i	−1.08483	−	0.0182956i
$105$	1.33166	+	1.83288i	0.129957	+	0.178870i
$106$	−4.00526	−	2.04078i	−0.389025	−	0.198218i
$107$	−12.3719	−	4.01987i	−1.19603	−	0.388615i	−0.357734	−	0.933823i	$-0.616451\pi$
$107$	−12.3719	−	4.01987i	−1.19603	−	0.388615i	−0.838301	+	0.545208i	$0.816451\pi$
$108$	−0.316272	+	0.435311i	−0.0304332	+	0.0418878i
$109$	9.85142	−	9.85142i	0.943595	−	0.943595i	−0.0548972	−	0.998492i	$-0.517483\pi$
$109$	9.85142	−	9.85142i	0.943595	−	0.943595i	0.998492	+	0.0548972i	$0.0174831\pi$
$110$	2.28415	+	2.29402i	0.217785	+	0.218726i
$111$	−8.51236	+	8.51236i	−0.807958	+	0.807958i
$112$	−1.15654	−	7.30209i	−0.109282	−	0.689982i
$113$	1.68191	−	5.17638i	0.158221	−	0.486953i	−0.840252	−	0.542195i	$-0.817593\pi$
$113$	1.68191	−	5.17638i	0.158221	−	0.486953i	0.998473	+	0.0552426i	$0.0175932\pi$
$114$	1.06465	−	0.345927i	0.0997139	−	0.0323990i
$115$	0.781573	−	4.93466i	0.0728820	−	0.460159i
$116$	−2.85378	+	2.07339i	−0.264967	+	0.192510i
$117$	−1.58248	−	3.23972i	−0.146300	−	0.299512i
$118$	−6.60401	−	2.14577i	−0.607948	−	0.197534i
$119$	−3.12247	−	19.7145i	−0.286236	−	1.80722i
$120$			2.47734i			0.226149i
$121$	−0.0474193	+	10.9999i	−0.00431085	+	0.999991i
$122$	3.60113	+	3.60113i	0.326031	+	0.326031i
$123$	6.37159	−	1.00916i	0.574507	−	0.0909930i
$124$	−0.198212	−	0.389014i	−0.0178000	−	0.0349345i
$125$	6.72408	+	3.42609i	0.601420	+	0.306439i
$126$	2.74522	−	1.99452i	0.244564	−	0.177686i
$127$	−8.49048	+	6.16869i	−0.753408	+	0.547383i	−0.896881	−	0.442271i	$-0.854173\pi$
$127$	−8.49048	+	6.16869i	−0.753408	+	0.547383i	0.143473	+	0.989654i	$0.454173\pi$
$128$	2.17086	−	4.26056i	0.191879	−	0.376584i
$129$	−0.298194	+	0.917746i	−0.0262545	+	0.0808030i
$130$	−3.10831	−	1.65037i	−0.272617	−	0.144747i
$131$			18.3761i			1.60552i	0.596300	+	0.802762i	$0.296637\pi$
$131$			18.3761i			1.60552i	−0.596300	+	0.802762i	$0.703363\pi$
$132$	−1.26461	+	1.25917i	−0.110070	+	0.109597i
$133$	2.59834			0.225305
$134$	0.489124	+	0.355370i	0.0422539	+	0.0306993i
$135$	−0.719283	+	0.366493i	−0.0619060	+	0.0315427i
$136$	9.90883	−	19.4472i	0.849675	−	1.66758i
$137$	3.09297	−	19.5282i	0.264250	−	1.66841i	−0.396677	−	0.917958i	$-0.629837\pi$
$137$	3.09297	−	19.5282i	0.264250	−	1.66841i	0.660927	−	0.750450i	$-0.270163\pi$
$138$	−7.39096	−	1.17061i	−0.629160	−	0.0996492i
$139$	14.1560	−	4.59955i	1.20069	−	0.390129i	0.360678	−	0.932691i	$-0.382545\pi$
$139$	14.1560	−	4.59955i	1.20069	−	0.390129i	0.840016	+	0.542562i	$0.182545\pi$
$140$	−0.376703	+	1.15937i	−0.0318372	+	0.0979850i
$141$	−7.26618	+	1.15085i	−0.611923	+	0.0969190i
$142$	−4.25403			−0.356990
$143$	−3.47835	−	11.4412i	−0.290874	−	0.956761i
$144$	2.63433			0.219528
$145$	−5.22709	+	0.827890i	−0.434086	+	0.0687525i
$146$	−1.14889	+	3.53591i	−0.0950825	+	0.292634i
$147$	0.833262	−	0.270743i	0.0687263	−	0.0223305i
$148$	−6.39774	−	1.01330i	−0.525891	−	0.0832930i
$149$	−1.97011	+	12.4388i	−0.161398	+	1.01903i	0.765424	+	0.643526i	$0.222529\pi$
$149$	−1.97011	+	12.4388i	−0.161398	+	1.01903i	−0.926822	+	0.375501i	$0.877471\pi$
$150$	2.38688	−	4.68452i	0.194888	−	0.382489i
$151$	−15.1490	+	7.71878i	−1.23280	+	0.628145i	−0.944222	−	0.329310i	$-0.893184\pi$
$151$	−15.1490	+	7.71878i	−1.23280	+	0.628145i	−0.288583	+	0.957455i	$0.593184\pi$
$152$	2.29860	+	1.67003i	0.186441	+	0.135458i
$153$	7.11227			0.574993
$154$	10.0386	−	5.08769i	0.808932	−	0.409978i
$155$		−	0.655030i		−	0.0526133i
$156$	0.909788	−	1.71350i	0.0728414	−	0.137190i
$157$	−7.22107	+	22.2242i	−0.576304	+	1.77368i	0.0553911	+	0.998465i	$0.482359\pi$
$157$	−7.22107	+	22.2242i	−0.576304	+	1.77368i	−0.631695	+	0.775217i	$0.717641\pi$
$158$	−1.55859	+	3.05890i	−0.123995	+	0.243353i
$159$	3.00777	−	2.18527i	0.238532	−	0.173304i
$160$	−1.92820	+	1.40092i	−0.152438	+	0.110752i
$161$	−15.4759	−	7.88536i	−1.21967	−	0.621454i
$162$	0.548921	+	1.07732i	0.0431273	+	0.0846420i
$163$	−11.2082	+	1.77520i	−0.877893	+	0.139045i	−0.579084	−	0.815268i	$-0.696589\pi$
$163$	−11.2082	+	1.77520i	−0.877893	+	0.139045i	−0.298809	+	0.954313i	$0.596589\pi$
$164$	2.45445	+	2.45445i	0.191661	+	0.191661i
$165$	−2.54815	+	0.821875i	−0.198373	+	0.0639829i
$166$			13.8818i			1.07743i
$167$	0.0253291	+	0.159921i	0.00196002	+	0.0123751i	0.988649	−	0.150244i	$-0.0480059\pi$
$167$	0.0253291	+	0.159921i	0.00196002	+	0.0123751i	−0.986689	+	0.162619i	$0.948006\pi$
$168$	8.19087	+	2.66138i	0.631939	+	0.205330i
$169$	7.28222	+	10.7689i	0.560171	+	0.828377i
$170$	5.61627	−	4.08046i	0.430748	−	0.312957i
$171$	−0.144834	+	0.914448i	−0.0110758	+	0.0699296i
$172$	−0.493814	+	0.160450i	−0.0376530	+	0.0122342i
$173$	−2.25518	+	6.94072i	−0.171458	+	0.527693i	−0.999454	−	0.0330406i	$-0.989481\pi$
$173$	−2.25518	+	6.94072i	−0.171458	+	0.527693i	0.827996	+	0.560734i	$0.189481\pi$
$174$	1.23999	+	7.82896i	0.0940031	+	0.593512i
$175$	8.62905	−	8.62905i	0.652295	−	0.652295i
$176$	8.62655	+	1.38538i	0.650251	+	0.104427i
$177$	4.06091	−	4.06091i	0.305237	−	0.305237i
$178$	10.4860	−	14.4327i	0.785957	−	1.08178i
$179$	8.62436	+	2.80222i	0.644615	+	0.209448i	0.613038	−	0.790053i	$-0.289947\pi$
$179$	8.62436	+	2.80222i	0.644615	+	0.209448i	0.0315765	+	0.999501i	$0.489947\pi$
$180$	−0.387027	−	0.197200i	−0.0288473	−	0.0146984i
$181$	−8.78089	−	12.0859i	−0.652678	−	0.898335i	0.346533	−	0.938038i	$-0.387359\pi$
$181$	−8.78089	−	12.0859i	−0.652678	−	0.898335i	−0.999212	+	0.0397031i	$0.987359\pi$
$182$	−8.79585	+	8.50409i	−0.651992	+	0.630365i
$183$	−4.00587	+	1.30159i	−0.296123	+	0.0962161i
$184$	−8.62247	−	16.9226i	−0.635657	−	1.24755i
$185$	−7.86216	−	5.71219i	−0.578037	−	0.419969i
$186$	−0.981082			−0.0719364
$187$	23.2903	+	3.74030i	1.70316	+	0.273518i
$188$	−2.79906	−	2.79906i	−0.204143	−	0.204143i
$189$	0.439025	+	2.77189i	0.0319344	+	0.201626i
$190$	0.410268	+	0.805196i	0.0297640	+	0.0584151i
$191$	−3.35414	−	10.3230i	−0.242697	−	0.746945i	−0.996007	−	0.0892789i	$-0.971544\pi$
$191$	−3.35414	−	10.3230i	−0.242697	−	0.746945i	0.753309	−	0.657666i	$-0.228456\pi$
$192$	5.19509	+	7.15043i	0.374923	+	0.516038i
$193$	2.23282	+	0.353644i	0.160722	+	0.0254558i	0.236277	−	0.971686i	$-0.424073\pi$
$193$	2.23282	+	0.353644i	0.160722	+	0.0254558i	−0.0755549	+	0.997142i	$0.524073\pi$
$194$	6.23496	+	19.1892i	0.447644	+	1.37771i
$195$	2.38328	−	1.67089i	0.170670	−	0.119655i
$196$	0.381395	+	0.277099i	0.0272425	+	0.0197928i
$197$	6.65055	−	6.65055i	0.473832	−	0.473832i	−0.429320	−	0.903152i	$-0.641247\pi$
$197$	6.65055	−	6.65055i	0.473832	−	0.473832i	0.903152	+	0.429320i	$0.141247\pi$
$198$	1.23098	+	3.81653i	0.0874817	+	0.271229i
$199$		−	3.31670i		−	0.235115i	−0.993066	−	0.117557i	$-0.962494\pi$
$199$		−	3.31670i		−	0.235115i	0.993066	−	0.117557i	$-0.0375064\pi$
$200$	13.1798	−	2.08747i	0.931951	−	0.147606i
$201$	−0.445533	+	0.227010i	−0.0314255	+	0.0160121i
$202$	−12.2220	−	6.22740i	−0.859934	−	0.438158i
$203$	−2.87813	+	18.1718i	−0.202005	+	1.27541i
$204$	2.24941	+	3.09605i	0.157490	+	0.216767i
$205$	1.60927	+	4.95283i	0.112396	+	0.345921i
$206$	−3.91946	+	1.99706i	−0.273082	+	0.139142i
$207$	3.63778	−	5.00698i	0.252843	−	0.348009i
$208$	−9.40500	+	1.32744i	−0.652119	+	0.0920416i
$209$	−0.955187	+	2.91834i	−0.0660717	+	0.201866i
$210$	1.93697	+	1.93697i	0.133664	+	0.133664i
$211$	−14.1471	+	19.4718i	−0.973928	+	1.34050i	−0.0338903	+	0.999426i	$0.510790\pi$
$211$	−14.1471	+	19.4718i	−0.973928	+	1.34050i	−0.940038	+	0.341071i	$0.889210\pi$
$212$	1.90255	+	0.618175i	0.130667	+	0.0424564i
$213$	1.59729	−	3.13486i	0.109445	−	0.214797i
$214$	−15.5350	−	2.46051i	−1.06195	−	0.168197i
$215$	−0.769405	−	0.121862i	−0.0524730	−	0.00831090i
$216$	−1.39320	+	2.73431i	−0.0947953	+	0.186046i
$217$	−2.16574	−	0.703690i	−0.147020	−	0.0477696i
$218$	9.90137	−	13.6281i	0.670605	−	0.923009i
$219$	−2.17429	−	2.17429i	−0.146925	−	0.146925i
$220$	−1.16368	−	0.849299i	−0.0784551	−	0.0572598i
$221$	−25.3920	+	3.58389i	−1.70805	+	0.241078i
$222$	−8.55553	+	11.7757i	−0.574209	+	0.790331i
$223$	12.0522	−	6.14090i	0.807075	−	0.411225i	−0.00122295	−	0.999999i	$-0.500389\pi$
$223$	12.0522	−	6.14090i	0.807075	−	0.411225i	0.808298	+	0.588774i	$0.200389\pi$
$224$	2.56044	+	7.88023i	0.171077	+	0.526520i
$225$	2.55588	+	3.51786i	0.170392	+	0.234524i
$226$	1.02947	−	6.49984i	0.0684795	−	0.432363i
$227$	1.72272	+	0.877768i	0.114341	+	0.0582595i	0.510225	−	0.860041i	$-0.329562\pi$
$227$	1.72272	+	0.877768i	0.114341	+	0.0582595i	−0.395885	+	0.918300i	$0.629562\pi$
$228$	−0.443876	+	0.226166i	−0.0293964	+	0.0149782i
$229$	8.95149	−	1.41778i	0.591531	−	0.0936894i	0.146510	−	0.989209i	$-0.453196\pi$
$229$	8.95149	−	1.41778i	0.591531	−	0.0936894i	0.445022	+	0.895520i	$0.353196\pi$
$230$		−	6.04087i		−	0.398323i
$231$	−0.0200626	+	9.30791i	−0.00132002	+	0.612415i
$232$	−14.2257	+	14.2257i	−0.933962	+	0.933962i
$233$	−2.82210	−	2.05037i	−0.184882	−	0.134325i	0.491495	−	0.870881i	$-0.336451\pi$
$233$	−2.82210	−	2.05037i	−0.184882	−	0.134325i	−0.676376	+	0.736556i	$0.736451\pi$
$234$	−2.50260	−	3.56960i	−0.163600	−	0.233352i
$235$	−1.83522	−	5.64822i	−0.119716	−	0.368449i
$236$	3.05211	+	0.483407i	0.198675	+	0.0314671i
$237$	−1.66894	−	2.29710i	−0.108409	−	0.149212i
$238$	−7.45780	−	22.9527i	−0.483417	−	1.48780i
$239$	7.67492	+	15.0629i	0.496449	+	0.974336i	0.994254	+	0.107047i	$0.0341396\pi$
$239$	7.67492	+	15.0629i	0.496449	+	0.974336i	−0.497805	+	0.867289i	$0.665860\pi$
$240$	0.332676	+	2.10043i	0.0214741	+	0.135582i
$241$	−0.272367	−	0.272367i	−0.0175447	−	0.0175447i	0.698280	−	0.715825i	$-0.253949\pi$
$241$	−0.272367	−	0.272367i	−0.0175447	−	0.0175447i	−0.715825	+	0.698280i	$0.753949\pi$
$242$	2.02395	+	13.1452i	0.130104	+	0.845007i
$243$	−1.00000			−0.0641500
$244$	−1.83354	−	1.33214i	−0.117380	−	0.0852818i
$245$	0.321100	+	0.630195i	0.0205144	+	0.0402617i
$246$	7.41818	−	2.41031i	0.472966	−	0.153676i
$247$	0.0562907	−	3.33771i	0.00358169	−	0.212374i
$248$	−1.46362	−	2.01450i	−0.0929399	−	0.127921i
$249$	−10.2297	−	5.21229i	−0.648280	−	0.330315i
$250$	8.67803	+	2.81966i	0.548847	+	0.178331i
$251$	−2.07590	+	2.85723i	−0.131030	+	0.180347i	−0.869491	−	0.493949i	$-0.835553\pi$
$251$	−2.07590	+	2.85723i	−0.131030	+	0.180347i	0.738461	+	0.674296i	$0.235553\pi$
$252$	−1.06778	+	1.06778i	−0.0672641	+	0.0672641i
$253$	14.5457	−	14.4831i	0.914478	−	0.910544i
$254$	−8.97268	+	8.97268i	−0.562996	+	0.562996i
$255$	0.898173	+	5.67084i	0.0562457	+	0.355122i
$256$	−3.67583	+	11.3130i	−0.229739	+	0.707065i
$257$	−6.31438	+	2.05167i	−0.393880	+	0.127980i	−0.499259	−	0.866453i	$-0.666394\pi$
$257$	−6.31438	+	2.05167i	−0.393880	+	0.127980i	0.105379	+	0.994432i	$0.466394\pi$
$258$	−0.182520	+	1.15239i	−0.0113632	+	0.0717445i
$259$	−27.3325	+	19.8582i	−1.69836	+	1.23393i
$260$	1.48112	+	0.509013i	0.0918551	+	0.0315677i
$261$	−6.23487	−	2.02583i	−0.385929	−	0.125396i
$262$	3.47574	+	21.9450i	0.214732	+	1.35577i
$263$			4.24632i			0.261839i	0.991393	+	0.130920i	$0.0417930\pi$
$263$			4.24632i			0.261839i	−0.991393	+	0.130920i	$0.958207\pi$
$264$	−6.00022	+	8.22128i	−0.369288	+	0.505985i
$265$	2.12222	+	2.12222i	0.130367	+	0.130367i
$266$	3.10298	−	0.491463i	0.190256	−	0.0301336i
$267$	6.69844	+	13.1464i	0.409938	+	0.804549i
$268$	−0.239729	−	0.122148i	−0.0146438	−	0.00746139i
$269$	19.4480	−	14.1298i	1.18576	−	0.861508i	0.192954	−	0.981208i	$-0.438193\pi$
$269$	19.4480	−	14.1298i	1.18576	−	0.861508i	0.992810	+	0.119700i	$0.0381933\pi$
$270$	−0.789658	+	0.573720i	−0.0480571	+	0.0349155i
$271$	14.0736	−	27.6210i	0.854911	−	1.67786i	0.127302	−	0.991864i	$-0.459368\pi$
$271$	14.0736	−	27.6210i	0.854911	−	1.67786i	0.727609	−	0.685992i	$-0.240632\pi$
$272$	5.78977	−	17.8191i	0.351056	−	1.08044i
$273$	−2.96415	−	9.67490i	−0.179399	−	0.585551i
$274$		−	23.9059i		−	1.44421i
$275$	6.51962	+	12.8639i	0.393148	+	0.775725i
$276$	3.33012			0.200450
$277$	−26.0141	−	18.9004i	−1.56304	−	1.13561i	−0.933463	−	0.358674i	$-0.883229\pi$
$277$	−26.0141	−	18.9004i	−1.56304	−	1.13561i	−0.629575	−	0.776939i	$-0.716771\pi$
$278$	16.0353	−	8.17039i	0.961733	−	0.490027i
$279$	0.368374	−	0.722975i	0.0220540	−	0.0432834i
$280$	−1.08761	+	6.86693i	−0.0649974	+	0.410377i
$281$	1.06179	+	0.168172i	0.0633413	+	0.0100323i	0.188025	−	0.982164i	$-0.439792\pi$
$281$	1.06179	+	0.168172i	0.0633413	+	0.0100323i	−0.124683	+	0.992197i	$0.539792\pi$
$282$	−8.45971	+	2.74872i	−0.503768	+	0.163684i
$283$	0.192021	−	0.590980i	0.0114145	−	0.0351301i	−0.945187	−	0.326529i	$-0.894121\pi$
$283$	0.192021	−	0.590980i	0.0114145	−	0.0351301i	0.956602	+	0.291399i	$0.0941208\pi$
$284$	1.86982	−	0.296150i	0.110953	−	0.0175733i
$285$	−0.747408			−0.0442727
$286$	−6.31795	−	13.0053i	−0.373588	−	0.769022i
$287$	18.1044			1.06867
$288$	−2.91606	+	0.461858i	−0.171830	+	0.0272152i
$289$	10.3782	−	31.9407i	0.610480	−	1.87887i
$290$	−6.08568	+	1.97736i	−0.357364	+	0.116114i
$291$	−16.4819	−	2.61048i	−0.966189	−	0.153029i
$292$	0.258825	−	1.63415i	0.0151466	−	0.0956317i
$293$	−7.82840	+	15.3641i	−0.457340	+	0.897580i	0.541057	+	0.840986i	$0.318024\pi$
$293$	−7.82840	+	15.3641i	−0.457340	+	0.897580i	−0.998397	+	0.0565943i	$0.981976\pi$
$294$	0.943885	−	0.480933i	0.0550485	−	0.0280486i
$295$	3.75072	+	2.72506i	0.218376	+	0.158659i
$296$	−36.9430			−2.14727
$297$	−3.27467	−	0.525894i	−0.190015	−	0.0305155i
$298$			15.2273i			0.882091i
$299$	−10.4645	+	19.7088i	−0.605176	+	1.13979i
$300$	−0.723011	+	2.22520i	−0.0417431	+	0.128472i
$301$	−1.22947	+	2.41298i	−0.0708657	+	0.139082i
$302$	−16.6311	+	12.0832i	−0.957015	+	0.695312i
$303$	9.17814	−	6.66831i	0.527270	−	0.383084i
$304$	2.17315	+	1.10728i	0.124639	+	0.0635067i
$305$	−1.54368	−	3.02964i	−0.0883907	−	0.173476i
$306$	8.49359	−	1.34525i	0.485546	−	0.0769030i
$307$	11.1867	+	11.1867i	0.638460	+	0.638460i	0.950175	−	0.311716i	$-0.100904\pi$
$307$	11.1867	+	11.1867i	0.638460	+	0.638460i	−0.311716	+	0.950175i	$0.600904\pi$
$308$	−4.05818	+	2.93509i	−0.231236	+	0.167243i
$309$		−	3.63817i		−	0.206968i
$310$	−0.123896	−	0.782247i	−0.00703681	−	0.0444286i
$311$	31.7241	+	10.3078i	1.79891	+	0.584500i	0.999859	−	0.0167674i	$-0.00533749\pi$
$311$	31.7241	+	10.3078i	1.79891	+	0.584500i	0.799048	+	0.601268i	$0.205337\pi$
$312$	3.59613	−	10.4640i	0.203591	−	0.592406i
$313$	0.105640	−	0.0767516i	0.00597110	−	0.00433826i	−0.584796	−	0.811181i	$-0.698825\pi$
$313$	0.105640	−	0.0767516i	0.00597110	−	0.00433826i	0.590767	+	0.806842i	$0.298825\pi$
$314$	−4.41992	+	27.9063i	−0.249431	+	1.57484i
$315$	−2.15468	+	0.700097i	−0.121402	+	0.0394460i
$316$	0.472113	−	1.45301i	0.0265584	−	0.0817384i
$317$	−2.01993	−	12.7534i	−0.113451	−	0.716300i	−0.977191	−	0.212363i	$-0.931884\pi$
$317$	−2.01993	−	12.7534i	−0.113451	−	0.716300i	0.863740	−	0.503938i	$-0.168116\pi$
$318$	3.17859	−	3.17859i	0.178247	−	0.178247i
$319$	−19.3518	−	9.91281i	−1.08349	−	0.555011i
$320$	−5.04520	+	5.04520i	−0.282035	+	0.282035i
$321$	7.64624	−	10.5242i	0.426772	−	0.587401i
$322$	−19.9730	−	6.48963i	−1.11305	−	0.361653i
$323$	5.86717	+	2.98947i	0.326458	+	0.166339i
$324$	−0.316272	−	0.435311i	−0.0175706	−	0.0241839i
$325$	−10.8976	−	11.2714i	−0.604488	−	0.625227i
$326$	−13.0492	+	4.23995i	−0.722729	+	0.234829i
$327$	6.32500	+	12.4135i	0.349773	+	0.686469i
$328$	16.0160	+	11.6363i	0.884333	+	0.642506i
$329$	−20.6463			−1.13827
$330$	−2.88758	+	1.46347i	−0.158956	+	0.0805611i
$331$	19.5248	+	19.5248i	1.07318	+	1.07318i	0.997102	+	0.0760766i	$0.0242394\pi$
$331$	19.5248	+	19.5248i	1.07318	+	1.07318i	0.0760766	+	0.997102i	$0.475761\pi$
$332$	−0.966397	−	6.10159i	−0.0530379	−	0.334868i
$333$	−5.46527	−	10.7262i	−0.299495	−	0.587792i
$334$	0.0604967	+	0.186190i	0.00331023	+	0.0101879i
$335$	−0.237266	−	0.326569i	−0.0129633	−	0.0178424i
$336$	7.30209	+	1.15654i	0.398361	+	0.0630943i
$337$	−1.93183	−	5.94556i	−0.105233	−	0.323875i	0.884552	−	0.466442i	$-0.154464\pi$
$337$	−1.93183	−	5.94556i	−0.105233	−	0.323875i	−0.989785	+	0.142567i	$0.954464\pi$
$338$	10.7334	+	11.4830i	0.583821	+	0.624593i
$339$	4.40329	+	3.19918i	0.239154	+	0.173756i
$340$	−2.18451	+	2.18451i	−0.118472	+	0.118472i
$341$	1.58651	−	2.17378i	0.0859144	−	0.117717i
$342$			1.11944i			0.0605325i
$343$	−16.9747	+	2.68853i	−0.916547	+	0.145167i
$344$	−2.63854	+	1.34440i	−0.142261	+	0.0724854i
$345$	4.45162	+	2.26821i	0.239667	+	0.122116i
$346$	−1.38036	+	8.71527i	−0.0742088	+	0.468536i
$347$	−13.1746	−	18.1333i	−0.707250	−	0.973446i	−0.999852	−	0.0172118i	$-0.994521\pi$
$347$	−13.1746	−	18.1333i	−0.707250	−	0.973446i	0.292602	−	0.956234i	$-0.405479\pi$
$348$	−1.09005	−	3.35482i	−0.0584327	−	0.179837i
$349$	22.1913	−	11.3070i	1.18787	−	0.605251i	0.255520	−	0.966804i	$-0.417753\pi$
$349$	22.1913	−	11.3070i	1.18787	−	0.605251i	0.932352	+	0.361553i	$0.117753\pi$
$350$	8.67280	−	11.9371i	0.463581	−	0.638064i
$351$	3.57017	−	0.503902i	0.190561	−	0.0268963i
$352$	−9.79199	−	0.0211060i	−0.521915	−	0.00112495i
$353$	16.2927	+	16.2927i	0.867174	+	0.867174i	0.992159	−	0.124985i	$-0.0398882\pi$
$353$	16.2927	+	16.2927i	0.867174	+	0.867174i	−0.124985	+	0.992159i	$0.539888\pi$
$354$	4.08150	−	5.61771i	0.216929	−	0.298578i
$355$	2.70124	+	0.877685i	0.143367	+	0.0465827i
$356$	−3.60425	+	7.07375i	−0.191025	+	0.374908i
$357$	19.7145	+	3.12247i	1.04340	+	0.165258i
$358$	10.8294	+	1.71520i	0.572350	+	0.0906513i
$359$	−11.3315	+	22.2394i	−0.598056	+	1.17375i	0.371397	+	0.928474i	$0.378879\pi$
$359$	−11.3315	+	22.2394i	−0.598056	+	1.17375i	−0.969453	+	0.245277i	$0.921121\pi$
$360$	−2.35609	−	0.765540i	−0.124177	−	0.0403475i
$361$	10.6641	−	14.6778i	0.561267	−	0.772518i
$362$	−12.7723	−	12.7723i	−0.671295	−	0.671295i
$363$	−10.4469	−	3.44425i	−0.548319	−	0.180776i
$364$	3.27411	−	4.35022i	0.171610	−	0.228014i
$365$	1.45905	−	2.00821i	0.0763700	−	0.105114i
$366$	−4.53769	+	2.31207i	−0.237189	+	0.120854i
$367$	2.48083	+	7.63522i	0.129499	+	0.398555i	0.994694	−	0.102880i	$-0.0328056\pi$
$367$	2.48083	+	7.63522i	0.129499	+	0.398555i	−0.865195	+	0.501435i	$0.832806\pi$
$368$	−9.58312	−	13.1900i	−0.499555	−	0.687578i
$369$	−1.00916	+	6.37159i	−0.0525348	+	0.331692i
$370$	−10.4695	−	5.33450i	−0.544286	−	0.277327i
$371$	9.29662	−	4.73686i	0.482656	−	0.245926i
$372$	0.431225	−	0.0682993i	0.0223580	−	0.00354115i
$373$			13.5318i			0.700650i	0.936628	+	0.350325i	$0.113929\pi$
$373$			13.5318i			0.700650i	−0.936628	+	0.350325i	$0.886071\pi$
$374$	28.5211	+	0.0614754i	1.47479	+	0.00317882i
$375$	−5.33626	+	5.33626i	−0.275563	+	0.275563i
$376$	−18.2646	−	13.2700i	−0.941926	−	0.684349i
$377$	23.2804	+	4.09080i	1.19900	+	0.210687i
$378$	1.04858	+	3.22720i	0.0539332	+	0.165989i
$379$	6.89752	+	1.09246i	0.354302	+	0.0561159i	0.331048	−	0.943614i	$-0.392598\pi$
$379$	6.89752	+	1.09246i	0.354302	+	0.0561159i	0.0232531	+	0.999730i	$0.492598\pi$
$380$	−0.236384	−	0.325355i	−0.0121262	−	0.0166903i
$381$	−3.24307	−	9.98115i	−0.166148	−	0.511350i
$382$	−5.95811	−	11.6935i	−0.304844	−	0.598289i
$383$	−0.115284	−	0.727875i	−0.00589074	−	0.0371927i	0.984568	−	0.175003i	$-0.0559935\pi$
$383$	−0.115284	−	0.727875i	−0.00589074	−	0.0371927i	−0.990459	+	0.137810i	$0.955994\pi$
$384$	3.38120	+	3.38120i	0.172546	+	0.172546i
$385$	−7.42402	+	1.15945i	−0.378363	+	0.0590911i
$386$	2.73336			0.139124
$387$	−0.780681	−	0.567198i	−0.0396842	−	0.0288323i
$388$	−4.07640	−	8.00039i	−0.206948	−	0.406158i
$389$	−1.10062	+	0.357614i	−0.0558038	+	0.0181317i	−0.336786	−	0.941581i	$-0.609340\pi$
$389$	−1.10062	+	0.357614i	−0.0558038	+	0.0181317i	0.280982	+	0.959713i	$0.409340\pi$
$390$	2.53011	−	2.44619i	0.128117	−	0.123867i
$391$	−25.8729	−	35.6110i	−1.30845	−	1.80093i
$392$	2.39565	+	1.22064i	0.120999	+	0.0616518i
$393$	−17.4767	−	5.67852i	−0.881582	−	0.286443i
$394$	6.68427	−	9.20011i	0.336749	−	0.463495i
$395$	1.62079	−	1.62079i	0.0815506	−	0.0815506i
$396$	−0.806757	−	1.59182i	−0.0405410	−	0.0799921i
$397$	20.3108	−	20.3108i	1.01937	−	1.01937i	0.0195605	−	0.999809i	$-0.493773\pi$
$397$	20.3108	−	20.3108i	1.01937	−	1.01937i	0.999809	−	0.0195605i	$-0.00622670\pi$
$398$	−0.627338	−	3.96086i	−0.0314456	−	0.198540i
$399$	−0.802931	+	2.47117i	−0.0401968	+	0.123713i
$400$	10.8943	−	3.53976i	0.544713	−	0.176988i
$401$	−0.212589	+	1.34223i	−0.0106162	+	0.0670279i	−0.992428	−	0.122830i	$-0.960803\pi$
$401$	−0.212589	+	1.34223i	−0.0106162	+	0.0670279i	0.981811	+	0.189858i	$0.0608029\pi$
$402$	−0.489124	+	0.355370i	−0.0243953	+	0.0177242i
$403$	−0.950849	+	2.76677i	−0.0473651	+	0.137822i
$404$	5.80557	+	1.88634i	0.288838	+	0.0938491i
$405$	−0.126285	−	0.797331i	−0.00627514	−	0.0396197i
$406$			22.2454i			1.10402i
$407$	−12.2561	−	37.9989i	−0.607512	−	1.88354i
$408$	15.4334	+	15.4334i	0.764065	+	0.764065i
$409$	19.5644	−	3.09869i	0.967397	−	0.153221i	0.347307	−	0.937751i	$-0.387096\pi$
$409$	19.5644	−	3.09869i	0.967397	−	0.153221i	0.620090	+	0.784531i	$0.287096\pi$
$410$	2.85862	+	5.61036i	0.141177	+	0.277076i
$411$	17.6167	+	8.97614i	0.868966	+	0.442760i
$412$	1.58373	−	1.15065i	0.0780249	−	0.0566884i
$413$	13.0393	−	9.47358i	0.641620	−	0.466164i
$414$	3.39725	−	6.66748i	0.166966	−	0.327689i
$415$	2.86406	−	8.81468i	0.140591	−	0.432696i
$416$	10.1781	−	3.11831i	0.499021	−	0.152888i
$417$			14.8845i			0.728895i
$418$	−0.588708	+	3.66580i	−0.0287947	+	0.179300i
$419$	6.00278			0.293255			0.146627	−	0.989192i	$-0.453158\pi$
$419$	6.00278			0.293255			0.146627	+	0.989192i	$0.453158\pi$
$420$	−0.986222	−	0.716532i	−0.0481227	−	0.0349632i
$421$	−3.87820	+	1.97604i	−0.189012	+	0.0963065i	−0.545936	−	0.837827i	$-0.683826\pi$
$421$	−3.87820	+	1.97604i	−0.189012	+	0.0963065i	0.356923	+	0.934134i	$0.383826\pi$
$422$	−13.2117	+	25.9294i	−0.643136	+	1.26222i
$423$	1.15085	−	7.26618i	0.0559562	−	0.353294i
$424$	11.2687	+	1.78479i	0.547257	+	0.0866770i
$425$	29.4128	−	9.55679i	1.42673	−	0.463572i
$426$	1.31457	−	4.04582i	0.0636910	−	0.196021i
$427$	−11.6753	+	1.84918i	−0.565007	+	0.0894883i
$428$	6.99956			0.338337
$429$	11.9561	+	0.227419i	0.577246	+	0.0109799i
$430$	−0.941884			−0.0454217
$431$	22.0743	−	3.49623i	1.06328	−	0.168407i	0.399802	−	0.916601i	$-0.369079\pi$
$431$	22.0743	−	3.49623i	1.06328	−	0.168407i	0.663480	+	0.748194i	$0.269079\pi$
$432$	−0.814053	+	2.50540i	−0.0391661	+	0.120541i
$433$	16.1718	−	5.25454i	0.777168	−	0.252517i	0.106537	−	0.994309i	$-0.466024\pi$
$433$	16.1718	−	5.25454i	0.777168	−	0.252517i	0.670630	+	0.741792i	$0.266024\pi$
$434$	−2.71946	−	0.430719i	−0.130538	−	0.0206752i
$435$	0.827890	−	5.22709i	0.0396943	−	0.250620i
$436$	−3.40331	+	6.67938i	−0.162989	+	0.319884i
$437$	5.10550	−	2.60138i	0.244229	−	0.124441i
$438$	−3.00782	−	2.18531i	−0.143719	−	0.104418i
$439$	26.0309			1.24239			0.621193	−	0.783658i	$-0.286648\pi$
$439$	26.0309			1.24239			0.621193	+	0.783658i	$0.286648\pi$
$440$	−7.31282	−	3.74594i	−0.348625	−	0.178581i
$441$			0.876144i			0.0417211i
$442$	−29.6456	+	9.08271i	−1.41010	+	0.432020i
$443$	1.18554	−	3.64872i	0.0563267	−	0.173356i	−0.918935	−	0.394409i	$-0.870949\pi$
$443$	1.18554	−	3.64872i	0.0563267	−	0.173356i	0.975262	+	0.221053i	$0.0709494\pi$
$444$	2.94072	−	5.77149i	0.139560	−	0.273903i
$445$	−9.63615	+	7.00107i	−0.456797	+	0.331883i
$446$	13.2314	−	9.61317i	0.626525	−	0.455197i
$447$	−11.2212	−	5.71749i	−0.530745	−	0.270428i
$448$	11.2610	+	22.1010i	0.532034	+	1.04417i
$449$	16.6252	−	2.63317i	0.784590	−	0.124267i	0.248729	−	0.968573i	$-0.419987\pi$
$449$	16.6252	−	2.63317i	0.784590	−	0.124267i	0.535861	+	0.844306i	$0.319987\pi$
$450$	3.71765	+	3.71765i	0.175252	+	0.175252i
$451$	−6.65545	+	20.3341i	−0.313393	+	0.957497i
$452$			2.92861i			0.137750i
$453$	−2.65971	−	16.7927i	−0.124964	−	0.788992i
$454$	2.22332	+	0.722400i	0.104346	+	0.0339039i
$455$	7.33977	−	3.58521i	0.344094	−	0.168077i
$456$	−2.29860	+	1.67003i	−0.107642	+	0.0782064i
$457$	5.60700	−	35.4012i	0.262285	−	1.65600i	−0.407323	−	0.913284i	$-0.633538\pi$
$457$	5.60700	−	35.4012i	0.262285	−	1.65600i	0.669607	−	0.742715i	$-0.266462\pi$
$458$	10.4218	−	3.38626i	0.486981	−	0.158230i
$459$	−2.19781	+	6.76418i	−0.102585	+	0.315725i
$460$	0.420543	+	2.65521i	0.0196079	+	0.123800i
$461$	−12.4817	+	12.4817i	−0.581331	+	0.581331i	−0.935269	−	0.353938i	$-0.884842\pi$
$461$	−12.4817	+	12.4817i	−0.581331	+	0.581331i	0.353938	+	0.935269i	$0.384842\pi$
$462$	1.73659	+	11.1194i	0.0807933	+	0.517323i
$463$	17.1291	−	17.1291i	0.796056	−	0.796056i	−0.186415	−	0.982471i	$-0.559687\pi$
$463$	17.1291	−	17.1291i	0.796056	−	0.796056i	0.982471	+	0.186415i	$0.0596868\pi$
$464$	−10.1510	+	13.9717i	−0.471250	+	0.648620i
$465$	0.622971	+	0.202415i	0.0288896	+	0.00938679i
$466$	−3.75801	−	1.91480i	−0.174087	−	0.0887015i
$467$	−7.75723	−	10.6769i	−0.358962	−	0.494069i	0.590897	−	0.806747i	$-0.298774\pi$
$467$	−7.75723	−	10.6769i	−0.358962	−	0.494069i	−0.949859	+	0.312678i	$0.898774\pi$
$468$	1.34850	+	1.39476i	0.0623342	+	0.0644728i
$469$	−1.33463	+	0.433649i	−0.0616277	+	0.0200240i
$470$	−3.25998	−	6.39806i	−0.150372	−	0.295121i
$471$	−18.9050	−	13.7353i	−0.871097	−	0.632889i
$472$	17.6240			0.811212
$473$	−2.25818	−	2.26794i	−0.103831	−	0.104280i
$474$	−2.42756	−	2.42756i	−0.111501	−	0.111501i
$475$	0.629786	+	3.97631i	0.0288965	+	0.182446i
$476$	4.87589	+	9.56947i	0.223486	+	0.438616i
$477$	1.14887	+	3.53585i	0.0526030	+	0.161895i
$478$	12.0146	+	16.5366i	0.549534	+	0.756368i
$479$	4.48103	+	0.709726i	0.204744	+	0.0324282i	0.257964	−	0.966155i	$-0.416948\pi$
$479$	4.48103	+	0.709726i	0.204744	+	0.0324282i	−0.0532201	+	0.998583i	$0.516948\pi$
$480$	−0.736507	−	2.26674i	−0.0336168	−	0.103462i
$481$	24.9169	+	35.5404i	1.13611	+	1.62050i
$482$	−0.376781	−	0.273748i	−0.0171619	−	0.0124689i
$483$	12.2817	−	12.2817i	0.558839	−	0.558839i
$484$	−1.80473	−	5.63695i	−0.0820331	−	0.256225i
$485$		−	13.4712i		−	0.611697i
$486$	−1.19422	+	0.189145i	−0.0541707	+	0.00857980i
$487$	−5.91428	+	3.01348i	−0.268002	+	0.136554i	−0.582828	−	0.812596i	$-0.698054\pi$
$487$	−5.91428	+	3.01348i	−0.268002	+	0.136554i	0.314826	+	0.949149i	$0.398054\pi$
$488$	−11.5170	−	5.86820i	−0.521349	−	0.265641i
$489$	1.77520	−	11.2082i	0.0802774	−	0.506852i
$490$	0.502662	+	0.691854i	0.0227079	+	0.0312548i
$491$	−3.93596	−	12.1136i	−0.177627	−	0.546681i	0.822116	−	0.569320i	$-0.192793\pi$
$491$	−3.93596	−	12.1136i	−0.177627	−	0.546681i	−0.999744	+	0.0226387i	$0.992793\pi$
$492$	−3.09279	+	1.57586i	−0.139434	+	0.0710451i
$493$	−27.4062	+	37.7214i	−1.23431	+	1.69889i
$494$	−0.564089	−	3.99660i	−0.0253796	−	0.179815i
$495$	0.00577097	−	2.67741i	0.000259386	−	0.120340i
$496$	−1.51146	−	1.51146i	−0.0678667	−	0.0678667i
$497$	5.80381	−	7.98826i	0.260336	−	0.358322i
$498$	−13.2023	−	4.28970i	−0.591611	−	0.192226i
$499$	11.6842	−	22.9314i	0.523054	−	1.02655i	−0.466786	−	0.884370i	$-0.654588\pi$
$499$	11.6842	−	22.9314i	0.523054	−	1.02655i	0.989841	−	0.142182i	$-0.0454118\pi$
$500$	−4.01064	−	0.635223i	−0.179361	−	0.0284080i
$501$	−0.159921	−	0.0253291i	−0.00714476	−	0.00113162i
$502$	−1.93864	+	3.80480i	−0.0865259	+	0.169817i
$503$	−19.5592	−	6.35519i	−0.872104	−	0.283364i	−0.161429	−	0.986884i	$-0.551610\pi$
$503$	−19.5592	−	6.35519i	−0.872104	−	0.283364i	−0.710675	+	0.703521i	$0.751610\pi$
$504$	−5.06224	+	6.96757i	−0.225490	+	0.310360i
$505$	6.47591	+	6.47591i	0.288174	+	0.288174i
$506$	14.6313	−	20.0472i	0.650438	−	0.891206i
$507$	−12.4922	+	3.59803i	−0.554797	+	0.159794i
$508$	3.31921	−	4.56850i	0.147266	−	0.202694i
$509$	−4.08201	+	2.07989i	−0.180932	+	0.0921894i	−0.542110	−	0.840307i	$-0.682375\pi$
$509$	−4.08201	+	2.07989i	−0.180932	+	0.0921894i	0.361178	+	0.932497i	$0.382375\pi$
$510$	2.14522	+	6.60232i	0.0949921	+	0.292356i
$511$	−5.07233	−	6.98146i	−0.224387	−	0.308842i
$512$	−3.74598	+	23.6512i	−0.165551	+	1.04525i
$513$	−0.824936	−	0.420326i	−0.0364218	−	0.0185578i
$514$	−7.15267	+	3.64447i	−0.315491	+	0.160751i
$515$	2.90082	−	0.459445i	0.127826	−	0.0202456i
$516$		−	0.519227i		−	0.0228577i
$517$	7.58989	−	23.1891i	0.333803	−	1.01985i
$518$	−28.8848	+	28.8848i	−1.26913	+	1.26913i
$519$	−5.90413	−	4.28960i	−0.259163	−	0.188293i
$520$	8.79739	+	1.54587i	0.385791	+	0.0677908i
$521$	−2.35436	−	7.24596i	−0.103146	−	0.317451i	0.886145	−	0.463409i	$-0.153374\pi$
$521$	−2.35436	−	7.24596i	−0.103146	−	0.317451i	−0.989291	+	0.145957i	$0.953374\pi$
$522$	−7.82896	−	1.23999i	−0.342664	−	0.0542727i
$523$	−1.21893	−	1.67771i	−0.0532999	−	0.0733611i	0.781535	−	0.623861i	$-0.214437\pi$
$523$	−1.21893	−	1.67771i	−0.0532999	−	0.0733611i	−0.834835	+	0.550500i	$0.814437\pi$
$524$	−3.05546	−	9.40373i	−0.133478	−	0.410804i
$525$	5.54019	+	10.8732i	0.241794	+	0.474547i
$526$	0.803171	+	5.07102i	0.0350199	+	0.221107i
$527$	−4.08071	−	4.08071i	−0.177759	−	0.177759i
$528$	−3.98332	+	7.77623i	−0.173352	+	0.338417i
$529$	−15.3033			−0.665361
$530$	2.93580	+	2.13298i	0.127523	+	0.0926509i
$531$	2.60727	+	5.11705i	0.113146	+	0.222061i
$532$	−1.32967	+	0.432036i	−0.0576485	+	0.0187311i
$533$	0.392216	−	23.2562i	0.0169888	−	1.00734i
$534$	10.4860	+	14.4327i	0.453772	+	0.624564i
$535$	9.35684	+	4.76755i	0.404531	+	0.206119i
$536$	−1.45939	−	0.474185i	−0.0630362	−	0.0204817i
$537$	−5.33014	+	7.33631i	−0.230013	+	0.316585i
$538$	20.5525	−	20.5525i	0.886081	−	0.886081i
$539$	−0.460759	+	2.86908i	−0.0198463	+	0.123580i
$540$	0.307146	−	0.307146i	0.0132175	−	0.0132175i
$541$	−2.31772	−	14.6335i	−0.0996465	−	0.629143i	−0.986078	−	0.166283i	$-0.946823\pi$
$541$	−2.31772	−	14.6335i	−0.0996465	−	0.629143i	0.886432	−	0.462860i	$-0.153177\pi$
$542$	11.5825	−	35.6474i	0.497513	−	1.53119i
$543$	14.2078	−	4.61639i	0.609714	−	0.198108i
$544$	−3.28486	+	20.7398i	−0.140837	+	0.889211i
$545$	−9.09893	+	6.61076i	−0.389755	+	0.283174i
$546$	−5.36980	−	10.9933i	−0.229806	−	0.470468i
$547$	−5.79437	−	1.88271i	−0.247749	−	0.0804987i	0.182510	−	0.983204i	$-0.441578\pi$
$547$	−5.79437	−	1.88271i	−0.247749	−	0.0804987i	−0.430259	+	0.902705i	$0.641578\pi$
$548$	1.66424	+	10.5076i	0.0710929	+	0.448863i
$549$		−	4.21202i		−	0.179765i
$550$	10.2190	+	14.1292i	0.435739	+	0.602469i
$551$	−4.29186	−	4.29186i	−0.182839	−	0.182839i
$552$	18.7588	−	2.97110i	0.798427	−	0.126458i
$553$	−3.61764	−	7.10002i	−0.153838	−	0.301923i
$554$	−34.6414	−	17.6507i	−1.47177	−	0.749905i
$555$	7.86216	−	5.71219i	0.333730	−	0.242469i
$556$	−6.47937	+	4.70753i	−0.274786	+	0.199644i
$557$	−9.93667	+	19.5018i	−0.421030	+	0.826318i	0.578910	+	0.815391i	$0.303478\pi$
$557$	−9.93667	+	19.5018i	−0.421030	+	0.826318i	−0.999940	+	0.0109268i	$0.996522\pi$
$558$	0.303171	−	0.933064i	0.0128342	−	0.0394998i
$559$	3.07297	+	1.63160i	0.129973	+	0.0690095i
$560$			5.96823i			0.252204i
$561$	−10.7543	+	20.9946i	−0.454049	+	0.886393i
$562$	1.29982			0.0548296
$563$	21.8004	+	15.8389i	0.918777	+	0.667530i	0.943219	−	0.332171i	$-0.107781\pi$
$563$	21.8004	+	15.8389i	0.918777	+	0.667530i	−0.0244426	+	0.999701i	$0.507781\pi$
$564$	3.52702	−	1.79711i	0.148515	−	0.0756719i
$565$	−1.99474	+	3.91489i	−0.0839192	+	0.164701i
$566$	0.117534	−	0.742078i	0.00494031	−	0.0311919i
$567$	−2.77189	−	0.439025i	−0.116409	−	0.0184373i
$568$	10.2686	−	3.33647i	0.430860	−	0.139995i
$569$	−4.90463	+	15.0949i	−0.205613	+	0.632812i	0.794075	+	0.607820i	$0.207956\pi$
$569$	−4.90463	+	15.0949i	−0.205613	+	0.632812i	−0.999688	+	0.0249914i	$0.992044\pi$
$570$	−0.892567	+	0.141369i	−0.0373855	+	0.00592128i
$571$	−35.5675			−1.48845			−0.744227	−	0.667926i	$-0.767182\pi$
$571$	−35.5675			−1.48845			−0.744227	+	0.667926i	$0.767182\pi$
$572$	3.68238	+	5.27654i	0.153968	+	0.220623i
$573$	10.8542			0.453442
$574$	21.6206	−	3.42437i	0.902426	−	0.142930i
$575$	8.31613	−	25.5944i	0.346807	−	1.06736i
$576$	−8.40583	+	2.73122i	−0.350243	+	0.113801i
$577$	23.7816	+	3.76664i	0.990041	+	0.156807i	0.630389	−	0.776279i	$-0.282895\pi$
$577$	23.7816	+	3.76664i	0.990041	+	0.156807i	0.359652	+	0.933087i	$0.382895\pi$
$578$	6.35234	−	40.1071i	0.264222	−	1.66823i
$579$	−1.02631	+	2.01426i	−0.0426522	+	0.0837096i
$580$	2.53725	−	1.29279i	0.105353	−	0.0536802i
$581$	−26.0673	−	18.9390i	−1.08145	−	0.785722i
$582$	−20.1768			−0.836354
$583$	1.90267	+	12.1829i	0.0788007	+	0.504564i
$584$		−	9.43623i		−	0.390474i
$585$	0.852634	+	2.78297i	0.0352521	+	0.115062i
$586$	−6.44275	+	19.8287i	−0.266147	+	0.819118i
$587$	−13.9950	+	27.4668i	−0.577638	+	1.13368i	0.398630	+	0.917112i	$0.369486\pi$
$587$	−13.9950	+	27.4668i	−0.577638	+	1.13368i	−0.976268	+	0.216566i	$0.930514\pi$
$588$	−0.381395	+	0.277099i	−0.0157284	+	0.0114274i
$589$	0.607770	−	0.441571i	0.0250427	−	0.0181946i
$590$	4.99460	+	2.54488i	0.205625	+	0.104771i
$591$	4.26992	+	8.38018i	0.175641	+	0.344715i
$592$	−31.3224	+	4.96098i	−1.28734	+	0.203895i
$593$	−0.487889	−	0.487889i	−0.0200352	−	0.0200352i	0.697018	−	0.717053i	$-0.254510\pi$
$593$	−0.487889	−	0.487889i	−0.0200352	−	0.0200352i	−0.717053	+	0.697018i	$0.754510\pi$
$594$	−4.01013	−	0.00864356i	−0.164538	−	0.000354650i
$595$			16.1133i			0.660580i
$596$	−1.06007	−	6.69299i	−0.0434220	−	0.274156i
$597$	3.15437	+	1.02492i	0.129100	+	0.0419471i
$598$	−8.76900	+	25.5159i	−0.358591	+	1.04342i
$599$	−24.2230	+	17.5990i	−0.989725	+	0.719077i	−0.959861	−	0.280477i	$-0.909507\pi$
$599$	−24.2230	+	17.5990i	−0.989725	+	0.719077i	−0.0298640	+	0.999554i	$0.509507\pi$
$600$	−2.08747	+	13.1798i	−0.0852206	+	0.538062i
$601$	−28.2658	+	9.18411i	−1.15298	+	0.374628i	−0.822267	−	0.569102i	$-0.807291\pi$
$601$	−28.2658	+	9.18411i	−1.15298	+	0.374628i	−0.330718	+	0.943730i	$0.607291\pi$
$602$	−1.01185	+	3.11417i	−0.0412401	+	0.126924i
$603$	−0.0782224	−	0.493877i	−0.00318546	−	0.0201122i
$604$	6.46887	−	6.46887i	0.263215	−	0.263215i
$605$	1.42693	−	8.76457i	0.0580129	−	0.356331i
$606$	9.69940	−	9.69940i	0.394011	−	0.394011i
$607$	−24.1629	+	33.2574i	−0.980742	+	1.34988i	−0.0443135	+	0.999018i	$0.514110\pi$
$607$	−24.1629	+	33.2574i	−0.980742	+	1.34988i	−0.936429	+	0.350858i	$0.885890\pi$
$608$	−2.59969	−	0.844690i	−0.105431	−	0.0342567i
$609$	−16.3930	−	8.35266i	−0.664279	−	0.338467i
$610$	−2.41652	−	3.32606i	−0.0978422	−	0.134668i
$611$	−0.447284	+	26.5214i	−0.0180952	+	1.07294i
$612$	−3.63962	+	1.18259i	−0.147123	+	0.0478032i
$613$	4.60642	+	9.04062i	0.186052	+	0.365147i	0.965127	−	0.261784i	$-0.0843108\pi$
$613$	4.60642	+	9.04062i	0.186052	+	0.365147i	−0.779075	+	0.626931i	$0.784311\pi$
$614$	15.4753	+	11.2434i	0.624531	+	0.453748i
$615$	−5.20771			−0.209995
$616$	−20.2413	+	20.1543i	−0.815547	+	0.812039i
$617$	−9.29211	−	9.29211i	−0.374086	−	0.374086i	0.494877	−	0.868963i	$-0.335213\pi$
$617$	−9.29211	−	9.29211i	−0.374086	−	0.374086i	−0.868963	+	0.494877i	$0.835213\pi$
$618$	−0.688141	−	4.34475i	−0.0276811	−	0.174772i
$619$	−0.127334	−	0.249907i	−0.00511798	−	0.0100446i	0.888433	−	0.459006i	$-0.151794\pi$
$619$	−0.127334	−	0.249907i	−0.00511798	−	0.0100446i	−0.893551	+	0.448961i	$0.851794\pi$
$620$	0.108914	+	0.335204i	0.00437411	+	0.0134621i
$621$	3.63778	+	5.00698i	0.145979	+	0.200923i
$622$	39.8350	+	6.30925i	1.59724	+	0.252978i
$623$	12.7958	+	39.3813i	0.512652	+	1.57778i
$624$	1.64383	−	9.35488i	0.0658059	−	0.374495i
$625$	12.6606	+	9.19850i	0.506426	+	0.367940i
$626$	0.111639	−	0.111639i	0.00446200	−	0.00446200i
$627$	−2.48034	−	1.81025i	−0.0990553	−	0.0722946i
$628$		−	12.5736i		−	0.501742i
$629$	−84.5656	+	13.3939i	−3.37185	+	0.534049i
$630$	−2.44073	+	1.24361i	−0.0972409	+	0.0495467i
$631$	−25.6549	−	13.0718i	−1.02131	−	0.520382i	−0.138621	−	0.990345i	$-0.544267\pi$
$631$	−25.6549	−	13.0718i	−1.02131	−	0.520382i	−0.882686	+	0.469963i	$0.844267\pi$
$632$	1.36308	−	8.60614i	0.0542204	−	0.342334i
$633$	−14.1471	−	19.4718i	−0.562297	−	0.773936i
$634$	−4.82447	−	14.8482i	−0.191604	−	0.589698i
$635$	7.54873	−	3.84627i	0.299562	−	0.152635i
$636$	−1.17584	+	1.61840i	−0.0466250	+	0.0641738i
$637$	−0.441490	−	3.12798i	−0.0174925	−	0.123935i
$638$	−24.9851	−	8.17774i	−0.989171	−	0.323760i
$639$	2.48784	+	2.48784i	0.0984174	+	0.0984174i
$640$	−2.26894	+	3.12293i	−0.0896877	+	0.123445i
$641$	−18.8928	−	6.13865i	−0.746222	−	0.242462i	−0.0888671	−	0.996043i	$-0.528325\pi$
$641$	−18.8928	−	6.13865i	−0.746222	−	0.242462i	−0.657355	+	0.753581i	$0.728325\pi$
$642$	7.14067	−	14.0144i	0.281820	−	0.553102i
$643$	5.94984	+	0.942362i	0.234639	+	0.0371631i	0.272646	−	0.962114i	$-0.412101\pi$
$643$	5.94984	+	0.942362i	0.234639	+	0.0371631i	−0.0380076	+	0.999277i	$0.512101\pi$
$644$	9.23074	+	1.46201i	0.363742	+	0.0576111i
$645$	0.353656	−	0.694090i	0.0139252	−	0.0273298i
$646$	7.57211	+	2.46033i	0.297921	+	0.0968003i
$647$	5.73115	−	7.88825i	0.225315	−	0.310119i	−0.681361	−	0.731948i	$-0.738612\pi$
$647$	5.73115	−	7.88825i	0.225315	−	0.310119i	0.906676	+	0.421828i	$0.138612\pi$
$648$	−2.16996	−	2.16996i	−0.0852441	−	0.0852441i
$649$	5.84690	+	18.1278i	0.229511	+	0.711577i
$650$	−15.1460	−	11.3993i	−0.594074	−	0.447118i
$651$	1.33850	−	1.84229i	0.0524599	−	0.0722049i
$652$	5.44049	−	2.77207i	0.213066	−	0.108563i
$653$	−0.778533	−	2.39608i	−0.0304663	−	0.0937657i	0.934667	−	0.355524i	$-0.115698\pi$
$653$	−0.778533	−	2.39608i	−0.0304663	−	0.0937657i	−0.965133	+	0.261758i	$0.915698\pi$
$654$	9.90137	+	13.6281i	0.387174	+	0.532900i
$655$	2.32062	−	14.6518i	0.0906741	−	0.572493i
$656$	15.1419	+	7.71516i	0.591190	+	0.301227i
$657$	2.73976	−	1.39598i	0.106888	−	0.0544623i
$658$	−24.6562	+	3.90515i	−0.961198	+	0.152239i
$659$			23.9724i			0.933830i	0.884302	+	0.466915i	$0.154635\pi$
$659$			23.9724i			0.933830i	−0.884302	+	0.466915i	$0.845365\pi$
$660$	1.16733	−	0.844275i	0.0454382	−	0.0328634i
$661$	−12.9024	+	12.9024i	−0.501845	+	0.501845i	−0.912011	−	0.410166i	$-0.865471\pi$
$661$	−12.9024	+	12.9024i	−0.501845	+	0.501845i	0.410166	+	0.912011i	$0.365471\pi$
$662$	27.0098	+	19.6238i	1.04977	+	0.762700i
$663$	4.43808	−	25.2567i	0.172361	−	0.980889i
$664$	−10.8876	−	33.5085i	−0.422520	−	1.30038i
$665$	−2.07174	−	0.328131i	−0.0803385	−	0.0127244i
$666$	−8.55553	−	11.7757i	−0.331520	−	0.456298i
$667$	12.5378	+	38.5874i	0.485466	+	1.49411i
$668$	−0.0395526	−	0.0776264i	−0.00153034	−	0.00300345i
$669$	2.11601	+	13.3600i	0.0818097	+	0.516526i
$670$	−0.345116	−	0.345116i	−0.0133330	−	0.0133330i
$671$	2.21508	−	13.7930i	0.0855121	−	0.532472i
$672$	−8.28577			−0.319630
$673$	23.0350	+	16.7359i	0.887934	+	0.645122i	0.935338	−	0.353754i	$-0.115095\pi$
$673$	23.0350	+	16.7359i	0.887934	+	0.645122i	−0.0474048	+	0.998876i	$0.515095\pi$
$674$	−3.43159	−	6.73488i	−0.132180	−	0.259418i
$675$	−4.13549	+	1.34370i	−0.159175	+	0.0517192i
$676$	−5.51718	−	4.30002i	−0.212199	−	0.165385i
$677$	13.0570	+	17.9714i	0.501822	+	0.690698i	0.982513	−	0.186191i	$-0.0596145\pi$
$677$	13.0570	+	17.9714i	0.501822	+	0.690698i	−0.480692	+	0.876890i	$0.659614\pi$
$678$	5.86359	+	2.98765i	0.225190	+	0.114740i
$679$	−44.5402	−	14.4720i	−1.70929	−	0.555383i
$680$	−10.3565	+	14.2545i	−0.397154	+	0.546635i
$681$	−1.36716	+	1.36716i	−0.0523895	+	0.0523895i
$682$	1.48348	−	2.89604i	0.0568052	−	0.110895i
$683$	29.2202	−	29.2202i	1.11808	−	1.11808i	0.126058	−	0.992023i	$-0.459767\pi$
$683$	29.2202	−	29.2202i	1.11808	−	1.11808i	0.992023	−	0.126058i	$-0.0402325\pi$
$684$	−0.0779315	−	0.492040i	−0.00297979	−	0.0188136i
$685$	−4.93224	+	15.1799i	−0.188451	+	0.579993i
$686$	−19.7629	+	6.42136i	−0.754551	+	0.245169i
$687$	−1.41778	+	8.95149i	−0.0540916	+	0.341521i
$688$	−2.05657	+	1.49419i	−0.0784061	+	0.0569653i
$689$	−5.88336	−	12.0446i	−0.224138	−	0.458865i
$690$	5.74521	+	1.86673i	0.218716	+	0.0710653i
$691$	1.68430	+	10.6342i	0.0640738	+	0.404546i	0.998791	+	0.0491540i	$0.0156525\pi$
$691$	1.68430	+	10.6342i	0.0640738	+	0.404546i	−0.934717	+	0.355392i	$0.884347\pi$
$692$		−	3.92681i		−	0.149275i
$693$	−8.84615	−	2.89538i	−0.336037	−	0.109987i
$694$	−19.1631	−	19.1631i	−0.727423	−	0.727423i
$695$	−11.8678	+	1.87968i	−0.450173	+	0.0713004i
$696$	−9.13346	−	17.9254i	−0.346203	−	0.679461i
$697$	40.8806	+	20.8297i	1.54846	+	0.788982i
$698$	24.3625	−	17.7004i	0.922134	−	0.669970i
$699$	2.82210	−	2.05037i	0.106742	−	0.0775523i
$700$	−2.98103	+	5.85060i	−0.112672	+	0.221132i
$701$	−3.39492	+	10.4485i	−0.128224	+	0.394634i	−0.994475	−	0.104976i	$-0.966523\pi$
$701$	−3.39492	+	10.4485i	−0.128224	+	0.394634i	0.866250	+	0.499610i	$0.166523\pi$
$702$	4.16824	−	1.27705i	0.157320	−	0.0481990i
$703$		−	11.1456i		−	0.420365i
$704$	−28.9626	+	4.52326i	−1.09157	+	0.170477i
$705$	5.93889			0.223671
$706$	22.5387	+	16.3753i	0.848255	+	0.616294i
$707$	28.3684	−	14.4544i	1.06690	−	0.543614i
$708$	−1.40290	+	2.75335i	−0.0527242	+	0.103477i
$709$	−4.21724	+	26.6266i	−0.158382	+	0.999983i	0.772594	+	0.634901i	$0.218959\pi$
$709$	−4.21724	+	26.6266i	−0.158382	+	0.999983i	−0.930975	+	0.365082i	$0.881041\pi$
$710$	3.39187	+	0.537219i	0.127295	+	0.0201615i
$711$	2.70040	−	0.877413i	0.101273	−	0.0329056i
$712$	−13.9919	+	43.0626i	−0.524368	+	1.61384i
$713$	−4.95999	+	0.785585i	−0.185753	+	0.0294204i
$714$	24.1339			0.903190
$715$	1.32855	+	9.56169i	0.0496848	+	0.357587i
$716$	−4.87935			−0.182350
$717$	−16.6973	+	2.64460i	−0.623573	+	0.0987642i
$718$	−9.32583	+	28.7020i	−0.348037	+	1.07115i
$719$	10.7008	−	3.47689i	0.399071	−	0.129666i	−0.102604	−	0.994722i	$-0.532717\pi$
$719$	10.7008	−	3.47689i	0.399071	−	0.129666i	0.501675	+	0.865056i	$0.332717\pi$
$720$	−2.10043	−	0.332676i	−0.0782785	−	0.0123981i
$721$	1.59725	−	10.0846i	0.0594845	−	0.375571i
$722$	9.95896	−	19.5456i	0.370634	−	0.727410i
$723$	0.343202	−	0.174870i	0.0127638	−	0.00650349i
$724$	6.50308	+	4.72476i	0.241685	+	0.175594i
$725$	−28.5064			−1.05870
$726$	−13.1273	−	2.13721i	−0.487199	−	0.0793192i
$727$			26.6560i			0.988617i	0.869287	+	0.494308i	$0.164579\pi$
$727$			26.6560i			0.988617i	−0.869287	+	0.494308i	$0.835421\pi$
$728$	14.5621	−	27.4263i	0.539706	−	1.01648i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	1.36257	−	2.67420i	0.0504311	−	0.0989767i
$731$	−5.55242	+	4.03407i	−0.205364	+	0.149205i
$732$	1.83354	−	1.33214i	0.0677695	−	0.0492374i
$733$	1.05358	+	0.536825i	0.0389148	+	0.0198281i	0.473340	−	0.880880i	$-0.343048\pi$
$733$	1.05358	+	0.536825i	0.0389148	+	0.0198281i	−0.434425	+	0.900708i	$0.643048\pi$
$734$	4.40682	+	8.64887i	0.162659	+	0.319235i
$735$	−0.698577	+	0.110644i	−0.0257674	+	0.00408115i
$736$	12.9205	+	12.9205i	0.476256	+	0.476256i
$737$	0.00357461	−	1.65842i	0.000131673	−	0.0610886i
$738$			7.79993i			0.287120i
$739$	0.372827	+	2.35394i	0.0137147	+	0.0865911i	0.993596	−	0.112989i	$-0.0360423\pi$
$739$	0.372827	+	2.35394i	0.0137147	+	0.0865911i	−0.979882	+	0.199580i	$0.936042\pi$
$740$	4.97315	+	1.61588i	0.182817	+	0.0594008i
$741$	3.15696	+	1.08495i	0.115974	+	0.0398565i
$742$	10.2062	−	7.41525i	0.374682	−	0.272222i
$743$	0.537010	−	3.39055i	0.0197010	−	0.124387i	−0.975878	−	0.218318i	$-0.929943\pi$
$743$	0.537010	−	3.39055i	0.0197010	−	0.124387i	0.995579	+	0.0939304i	$0.0299431\pi$
$744$	2.36819	−	0.769470i	0.0868219	−	0.0282101i
$745$	3.14167	−	9.66906i	0.115102	−	0.354247i
$746$	2.55948	+	16.1599i	0.0937091	+	0.591656i
$747$	8.11833	−	8.11833i	0.297034	−	0.297034i
$748$	−12.5405	+	1.95852i	−0.458525	+	0.0716104i
$749$	25.8149	−	25.8149i	0.943258	−	0.943258i
$750$	−5.36332	+	7.38198i	−0.195841	+	0.269552i
$751$	−16.9128	−	5.49529i	−0.617155	−	0.200526i	−0.0162784	−	0.999867i	$-0.505182\pi$
$751$	−16.9128	−	5.49529i	−0.617155	−	0.200526i	−0.600877	+	0.799342i	$0.705182\pi$
$752$	−17.2678	−	8.79839i	−0.629692	−	0.320844i
$753$	−2.07590	−	2.85723i	−0.0756501	−	0.104123i
$754$	28.5755	+	0.481927i	1.04066	+	0.0175508i
$755$	13.0535	−	4.24134i	0.475065	−	0.154358i
$756$	−0.685559	−	1.34549i	−0.0249336	−	0.0489349i
$757$	−3.53453	−	2.56798i	−0.128465	−	0.0933350i	0.521697	−	0.853131i	$-0.325299\pi$
$757$	−3.53453	−	2.56798i	−0.128465	−	0.0933350i	−0.650162	+	0.759796i	$0.725299\pi$
$758$	8.44375			0.306691
$759$	9.27938	+	18.3093i	0.336820	+	0.664584i
$760$	−1.62185	−	1.62185i	−0.0588306	−	0.0588306i
$761$	6.15919	+	38.8876i	0.223270	+	1.40967i	0.803541	+	0.595250i	$0.202947\pi$
$761$	6.15919	+	38.8876i	0.223270	+	1.40967i	−0.580270	+	0.814424i	$0.697053\pi$
$762$	−5.76082	−	11.3062i	−0.208692	−	0.409582i
$763$	12.0824	+	37.1858i	0.437412	+	1.34622i
$764$	3.43289	+	4.72496i	0.124197	+	0.170943i
$765$	−5.67084	−	0.898173i	−0.205030	−	0.0324735i
$766$	−0.275348	−	0.847434i	−0.00994872	−	0.0306190i
$767$	−11.8869	−	16.9549i	−0.429210	−	0.612206i
$768$	−9.62344	−	6.99184i	−0.347256	−	0.252296i
$769$	−13.6659	+	13.6659i	−0.492805	+	0.492805i	−0.909189	−	0.416384i	$-0.863297\pi$
$769$	−13.6659	+	13.6659i	−0.492805	+	0.492805i	0.416384	+	0.909189i	$0.363297\pi$
$770$	−8.64658	+	2.78885i	−0.311601	+	0.100503i
$771$		−	6.63934i		−	0.239110i
$772$	−1.20142	+	0.190286i	−0.0432401	+	0.00684856i
$773$	24.9704	−	12.7231i	0.898124	−	0.457617i	0.0569470	−	0.998377i	$-0.481863\pi$
$773$	24.9704	−	12.7231i	0.898124	−	0.457617i	0.841177	+	0.540760i	$0.181863\pi$
$774$	−1.03958	−	0.529695i	−0.0373671	−	0.0190395i
$775$	0.551945	−	3.48484i	0.0198265	−	0.125179i
$776$	−30.1005	−	41.4298i	−1.08055	−	1.48724i
$777$	−10.4401	−	32.1313i	−0.374536	−	1.15270i
$778$	−1.24674	+	0.635246i	−0.0446978	+	0.0227747i
$779$	−3.51064	+	4.83198i	−0.125782	+	0.173124i
$780$	−0.941792	+	1.25133i	−0.0337216	+	0.0448050i
$781$	6.83850	+	9.45519i	0.244701	+	0.338333i
$782$	−37.6335	−	37.6335i	−1.34577	−	1.34577i
$783$	3.85336	−	5.30370i	0.137708	−	0.189539i
$784$	2.19509	+	0.713227i	0.0783960	+	0.0254724i
$785$	8.56416	−	16.8081i	0.305668	−	0.599907i
$786$	−21.9450	−	3.47574i	−0.782751	−	0.123976i
$787$	33.9951	+	5.38430i	1.21179	+	0.191929i	0.729439	−	0.684046i	$-0.239781\pi$
$787$	33.9951	+	5.38430i	1.21179	+	0.191929i	0.482356	+	0.875975i	$0.339781\pi$
$788$	−2.29753	+	4.50915i	−0.0818461	+	0.160632i
$789$	−4.03849	−	1.31218i	−0.143774	−	0.0467150i
$790$	1.62900	−	2.24213i	0.0579573	−	0.0797714i
$791$	10.8009	+	10.8009i	0.384037	+	0.384037i
$792$	−5.96473	−	8.24707i	−0.211947	−	0.293047i
$793$	2.12245	+	15.0376i	0.0753703	+	0.534002i
$794$	20.4138	−	28.0971i	0.724458	−	0.997130i
$795$	−2.67416	+	1.36255i	−0.0948426	+	0.0483247i
$796$	0.551481	+	1.69728i	0.0195467	+	0.0601586i
$797$	23.4027	+	32.2110i	0.828964	+	1.14097i	0.988115	+	0.153717i	$0.0491245\pi$
$797$	23.4027	+	32.2110i	0.828964	+	1.14097i	−0.159150	+	0.987254i	$0.550875\pi$
$798$	−0.491463	+	3.10298i	−0.0173976	+	0.109844i
$799$	−46.6203	−	23.7543i	−1.64931	−	0.840365i
$800$	−11.4387	+	5.82832i	−0.404420	+	0.206062i
$801$	−14.5729	+	2.30813i	−0.514909	+	0.0815536i
$802$			1.64313i			0.0580208i
$803$	9.70594	−	3.13054i	0.342515	−	0.110474i
$804$	0.190250	−	0.190250i	0.00670961	−	0.00670961i
$805$	11.3436	+	8.24162i	0.399810	+	0.290479i
$806$	−0.612198	+	3.48396i	−0.0215637	+	0.122717i
$807$	7.42846	+	22.8625i	0.261494	+	0.804797i
$808$	34.3862	+	5.44623i	1.20970	+	0.191598i
$809$	−26.3733	−	36.2997i	−0.927234	−	1.27623i	−0.960929	−	0.276796i	$-0.910727\pi$
$809$	−26.3733	−	36.2997i	−0.927234	−	1.27623i	0.0336943	−	0.999432i	$-0.489273\pi$
$810$	−0.301623	−	0.928299i	−0.0105979	−	0.0326171i
$811$	3.63260	+	7.12937i	0.127558	+	0.250346i	0.945949	−	0.324315i	$-0.105134\pi$
$811$	3.63260	+	7.12937i	0.127558	+	0.250346i	−0.818391	+	0.574661i	$0.805134\pi$
$812$	−1.54865	−	9.77777i	−0.0543468	−	0.343132i
$813$	21.9202	+	21.9202i	0.768773	+	0.768773i
$814$	−21.8237	−	43.0607i	−0.764921	−	1.50928i
$815$	9.16082			0.320889
$816$	15.1578	+	11.0128i	0.530629	+	0.385525i
$817$	−0.405604	−	0.796042i	−0.0141903	−	0.0278500i
$818$	22.7780	−	7.40102i	0.796414	−	0.258771i
$819$	10.1173	+	0.170630i	0.353529	+	0.00596228i
$820$	−1.64705	−	2.26697i	−0.0575175	−	0.0791661i
$821$	39.5486	+	20.1510i	1.38025	+	0.703275i	0.977283	−	0.211938i	$-0.0679775\pi$
$821$	39.5486	+	20.1510i	1.38025	+	0.703275i	0.402971	+	0.915213i	$0.367977\pi$
$822$	22.7359	+	7.38734i	0.793005	+	0.257663i
$823$	16.7296	−	23.0263i	0.583157	−	0.802647i	−0.410880	−	0.911689i	$-0.634779\pi$
$823$	16.7296	−	23.0263i	0.583157	−	0.802647i	0.994037	+	0.109043i	$0.0347785\pi$
$824$	7.89468	−	7.89468i	0.275024	−	0.275024i
$825$	−14.2490	+	2.22535i	−0.496087	+	0.0774767i
$826$	13.7798	−	13.7798i	0.479461	−	0.479461i
$827$	−4.16413	−	26.2913i	−0.144801	−	0.914237i	−0.947941	−	0.318446i	$-0.896839\pi$
$827$	−4.16413	−	26.2913i	−0.144801	−	0.914237i	0.803140	−	0.595790i	$-0.203161\pi$
$828$	−1.02906	+	3.16713i	−0.0357624	+	0.110065i
$829$	−14.0545	+	4.56658i	−0.488132	+	0.158604i	−0.542734	−	0.839904i	$-0.682611\pi$
$829$	−14.0545	+	4.56658i	−0.488132	+	0.158604i	0.0546021	+	0.998508i	$0.482611\pi$
$830$	1.75306	−	11.0684i	0.0608494	−	0.384188i
$831$	26.0141	−	18.9004i	0.902421	−	0.655647i
$832$	28.6340	−	13.9866i	0.992704	−	0.484899i
$833$	5.92639	+	1.92560i	0.205337	+	0.0667181i
$834$	2.81532	+	17.7753i	0.0974867	+	0.615507i
$835$		−	0.130709i		−	0.00452337i
$836$	0.00356132	−	1.65225i	0.000123171	−	0.0571443i
$837$	0.573756	+	0.573756i	0.0198319	+	0.0198319i
$838$	7.16861	−	1.13540i	0.247635	−	0.0392216i
$839$	6.15140	+	12.0728i	0.212370	+	0.416799i	0.972477	−	0.232998i	$-0.0748537\pi$
$839$	6.15140	+	12.0728i	0.212370	+	0.416799i	−0.760107	+	0.649798i	$0.774854\pi$
$840$	−6.19475	−	3.15638i	−0.213739	−	0.108905i
$841$	11.3082	−	8.21586i	0.389937	−	0.283306i
$842$	−4.25765	+	3.09337i	−0.146728	+	0.106604i
$843$	−0.488053	+	0.957858i	−0.0168094	+	0.0329904i
$844$	4.00196	−	12.3168i	0.137753	−	0.423961i
$845$	−4.44639	−	9.50602i	−0.152960	−	0.327017i
$846$		−	8.89506i		−	0.305818i
$847$	−27.4455	−	14.1335i	−0.943039	−	0.485634i
$848$	9.79394			0.336325
$849$	0.502718	+	0.365246i	0.0172532	+	0.0125352i
$850$	33.3176	−	16.9761i	1.14278	−	0.582277i
$851$	−33.8244	+	66.3841i	−1.15949	+	2.27562i
$852$	−0.296150	+	1.86982i	−0.0101459	+	0.0640588i
$853$	−2.49632	−	0.395378i	−0.0854723	−	0.0135375i	0.113552	−	0.993532i	$-0.463777\pi$
$853$	−2.49632	−	0.395378i	−0.0854723	−	0.0135375i	−0.199024	+	0.979995i	$0.563777\pi$
$854$	−13.5930	+	4.41665i	−0.465144	+	0.151135i
$855$	0.230962	−	0.710828i	0.00789873	−	0.0243098i
$856$	39.4290	−	6.24495i	1.34766	−	0.213448i
$857$	−8.93226			−0.305120			−0.152560	−	0.988294i	$-0.548752\pi$
$857$	−8.93226			−0.305120			−0.152560	+	0.988294i	$0.548752\pi$
$858$	14.3212	−	1.98985i	0.488917	−	0.0679324i
$859$	−10.9590			−0.373916			−0.186958	−	0.982368i	$-0.559863\pi$
$859$	−10.9590			−0.373916			−0.186958	+	0.982368i	$0.559863\pi$
$860$	0.413996	−	0.0655705i	0.0141171	−	0.00223594i
$861$	−5.59458	+	17.2183i	−0.190663	+	0.586799i
$862$	25.7002	−	8.35050i	0.875352	−	0.284419i
$863$	−18.4707	−	2.92547i	−0.628751	−	0.0995843i	−0.166077	−	0.986113i	$-0.553110\pi$
$863$	−18.4707	−	2.92547i	−0.628751	−	0.0995843i	−0.462674	+	0.886529i	$0.653110\pi$
$864$	0.461858	−	2.91606i	0.0157127	−	0.0992062i
$865$	2.67463	−	5.24926i	0.0909402	−	0.178480i
$866$	18.3188	−	9.33387i	0.622497	−	0.317178i
$867$	27.1704	+	19.7404i	0.922755	+	0.670421i
$868$	1.22530			0.0415892
$869$	9.30433	−	1.45311i	0.315628	−	0.0492934i
$870$		−	6.39887i		−	0.216942i
$871$	0.528133	+	1.72381i	0.0178951	+	0.0584090i
$872$	−13.2118	+	40.6618i	−0.447409	+	1.37698i
$873$	7.57592	−	14.8686i	0.256406	−	0.503225i
$874$	5.60503	−	4.07229i	0.189593	−	0.137747i
$875$	−17.1343	+	12.4488i	−0.579245	+	0.420846i
$876$	1.47419	+	0.751139i	0.0498083	+	0.0253786i
$877$	−11.5980	−	22.7624i	−0.391637	−	0.768630i	0.608044	−	0.793903i	$-0.291954\pi$
$877$	−11.5980	−	22.7624i	−0.391637	−	0.768630i	−0.999681	+	0.0252731i	$0.991954\pi$
$878$	31.0865	−	4.92361i	1.04912	−	0.166164i
$879$	−12.1930	−	12.1930i	−0.411260	−	0.411260i
$880$	−6.70327	−	2.19401i	−0.225967	−	0.0739600i
$881$		−	18.8685i		−	0.635695i	−0.948142	−	0.317847i	$-0.897040\pi$
$881$		−	18.8685i		−	0.635695i	0.948142	−	0.317847i	$-0.102960\pi$
$882$	0.165718	+	1.04630i	0.00558003	+	0.0352309i
$883$	−45.7070	−	14.8511i	−1.53816	−	0.499779i	−0.587294	−	0.809374i	$-0.699807\pi$
$883$	−45.7070	−	14.8511i	−1.53816	−	0.499779i	−0.950869	+	0.309594i	$0.899807\pi$
$884$	12.3981	−	6.05604i	0.416995	−	0.203687i
$885$	−3.75072	+	2.72506i	−0.126079	+	0.0916019i
$886$	0.725653	−	4.58159i	0.0243788	−	0.153922i
$887$	−26.1347	+	8.49168i	−0.877518	+	0.285123i	−0.712926	−	0.701239i	$-0.752631\pi$
$887$	−26.1347	+	8.49168i	−0.877518	+	0.285123i	−0.164592	+	0.986362i	$0.552631\pi$
$888$	11.4160	−	35.1349i	0.383096	−	1.17905i
$889$	−4.60748	−	29.0905i	−0.154530	−	0.975664i
$890$	−10.1834	+	10.1834i	−0.341349	+	0.341349i
$891$	1.51208	−	2.95188i	0.0506567	−	0.0988918i
$892$	−5.14650	+	5.14650i	−0.172317	+	0.172317i
$893$	4.00354	−	5.51040i	0.133973	−	0.184398i
$894$	−14.4820	−	4.70548i	−0.484350	−	0.157375i
$895$	−6.52259	−	3.32342i	−0.218026	−	0.111090i
$896$	7.88789	+	10.8568i	0.263516	+	0.362699i
$897$	−15.5105	−	16.0427i	−0.517881	−	0.535649i
$898$	19.3560	−	6.28914i	0.645917	−	0.209871i
$899$	2.41496	+	4.73963i	0.0805435	+	0.158076i
$900$	−1.89287	−	1.37525i	−0.0630956	−	0.0458416i
$901$	26.4421			0.880914
$902$	−4.10194	+	25.5422i	−0.136580	+	0.850461i
$903$	−1.91495	−	1.91495i	−0.0637256	−	0.0637256i
$904$	2.61288	+	16.4971i	0.0869031	+	0.548684i
$905$	5.47502	+	10.7453i	0.181996	+	0.357187i
$906$	−6.35253	−	19.5511i	−0.211049	−	0.649541i
$907$	−32.3658	−	44.5477i	−1.07469	−	1.47918i	−0.865237	−	0.501363i	$-0.832832\pi$
$907$	−32.3658	−	44.5477i	−1.07469	−	1.47918i	−0.209452	−	0.977819i	$-0.567168\pi$
$908$	−1.02753	−	0.162745i	−0.0340998	−	0.00540087i
$909$	3.50574	+	10.7895i	0.116278	+	0.357867i
$910$	8.08714	−	5.66979i	0.268086	−	0.187952i
$911$	32.5754	+	23.6674i	1.07927	+	0.784137i	0.977556	−	0.210677i	$-0.0675667\pi$
$911$	32.5754	+	23.6674i	1.07927	+	0.784137i	0.101716	+	0.994813i	$0.467567\pi$
$912$	−1.72462	+	1.72462i	−0.0571080	+	0.0571080i
$913$	30.8542	−	22.3154i	1.02112	−	0.738533i
$914$		−	43.3372i		−	1.43347i
$915$	3.35838	−	0.531915i	0.111025	−	0.0175846i
$916$	−4.34508	+	2.21393i	−0.143566	+	0.0731503i
$917$	−45.9505	−	23.4129i	−1.51742	−	0.773164i
$918$	−1.34525	+	8.49359i	−0.0443999	+	0.280330i
$919$	−12.6977	−	17.4769i	−0.418858	−	0.576509i	0.546493	−	0.837464i	$-0.315963\pi$
$919$	−12.6977	−	17.4769i	−0.418858	−	0.576509i	−0.965351	+	0.260955i	$0.915963\pi$
$920$	4.73790	+	14.5818i	0.156204	+	0.480747i
$921$	−14.0961	+	7.18232i	−0.464482	+	0.236665i
$922$	−12.5450	+	17.2667i	−0.413147	+	0.568648i
$923$	−10.1356	−	7.62837i	−0.333618	−	0.251091i
$924$	−1.53739	−	4.76655i	−0.0505766	−	0.156808i
$925$	−37.0144	−	37.0144i	−1.21703	−	1.21703i
$926$	17.2159	−	23.6957i	0.565751	−	0.778689i
$927$	3.46010	+	1.12425i	0.113645	+	0.0369254i
$928$	8.78707	−	17.2456i	0.288450	−	0.566114i
$929$	9.84390	+	1.55912i	0.322968	+	0.0511531i	0.315813	−	0.948821i	$-0.397723\pi$
$929$	9.84390	+	1.55912i	0.322968	+	0.0511531i	0.00715452	+	0.999974i	$0.497723\pi$
$930$	0.782247	+	0.123896i	0.0256509	+	0.00406270i
$931$	−0.368266	+	0.722762i	−0.0120694	+	0.0236876i
$932$	1.78510	+	0.580014i	0.0584729	+	0.0189990i
$933$	−19.6066	+	26.9861i	−0.641890	+	0.883485i
$934$	−11.2833	−	11.2833i	−0.369201	−	0.369201i
$935$	−18.0978	−	5.92347i	−0.591860	−	0.193718i
$936$	8.84057	+	6.65367i	0.288963	+	0.217482i
$937$	5.25832	−	7.23745i	0.171782	−	0.236437i	−0.714442	−	0.699695i	$-0.753319\pi$
$937$	5.25832	−	7.23745i	0.171782	−	0.236437i	0.886224	+	0.463257i	$0.153319\pi$
$938$	−1.51182	+	0.770310i	−0.0493626	+	0.0251515i
$939$	0.0403507	+	0.124187i	0.00131680	+	0.00405268i
$940$	1.87830	+	2.58526i	0.0612634	+	0.0843219i
$941$	−2.40659	+	15.1946i	−0.0784525	+	0.495329i	0.916907	+	0.399101i	$0.130678\pi$
$941$	−2.40659	+	15.1946i	−0.0784525	+	0.495329i	−0.995359	+	0.0962281i	$0.969322\pi$
$942$	−25.1746	−	12.8271i	−0.820233	−	0.417930i
$943$	35.5735	−	18.1256i	1.15843	−	0.590252i
$944$	14.9427	−	2.36669i	0.486343	−	0.0770292i
$945$		−	2.26556i		−	0.0736987i
$946$	−3.12573	−	2.28128i	−0.101626	−	0.0741709i
$947$	27.8601	−	27.8601i	0.905330	−	0.905330i	−0.0905606	−	0.995891i	$-0.528866\pi$
$947$	27.8601	−	27.8601i	0.905330	−	0.905330i	0.995891	+	0.0905606i	$0.0288659\pi$
$948$	1.23601	+	0.898012i	0.0401436	+	0.0291661i
$949$	−9.07796	+	6.36444i	−0.294683	+	0.206599i
$950$	1.50420	+	4.62945i	0.0488027	+	0.150199i
$951$	12.7534	+	2.01993i	0.413556	+	0.0655009i
$952$	36.0040	+	49.5553i	1.16690	+	1.60610i
$953$	17.8820	+	55.0353i	0.579256	+	1.78277i	0.621206	+	0.783647i	$0.286643\pi$
$953$	17.8820	+	55.0353i	0.579256	+	1.78277i	−0.0419497	+	0.999120i	$0.513357\pi$
$954$	2.04078	+	4.00526i	0.0660728	+	0.129675i
$955$	1.37072	+	8.65442i	0.0443556	+	0.280050i
$956$	−6.43211	−	6.43211i	−0.208029	−	0.208029i
$957$	15.4077	−	15.3414i	0.498059	−	0.495917i
$958$	5.48556			0.177230
$959$	44.8908	+	32.6151i	1.44960	+	1.05320i
$960$	−3.23922	−	6.35732i	−0.104545	−	0.205182i
$961$	28.8566	−	9.37607i	0.930858	−	0.302454i
$962$	36.4784	+	37.7300i	1.17611	+	1.21646i
$963$	7.64624	+	10.5242i	0.246397	+	0.339136i
$964$	0.184668	+	0.0940930i	0.00594775	+	0.00303053i
$965$	−1.73564	−	0.563943i	−0.0558721	−	0.0181540i
$966$	12.3440	−	16.9901i	0.397162	−	0.546647i
$967$	17.0063	−	17.0063i	0.546885	−	0.546885i	−0.378654	−	0.925538i	$-0.623613\pi$
$967$	17.0063	−	17.0063i	0.546885	−	0.546885i	0.925538	+	0.378654i	$0.123613\pi$
$968$	−15.1954	−	30.1432i	−0.488399	−	0.968839i
$969$	−4.65621	+	4.65621i	−0.149579	+	0.149579i
$970$	−2.54802	−	16.0876i	−0.0818120	−	0.516540i
$971$	−17.5978	+	54.1606i	−0.564741	+	1.73810i	0.103977	+	0.994580i	$0.466843\pi$
$971$	−17.5978	+	54.1606i	−0.564741	+	1.73810i	−0.668719	+	0.743516i	$0.733157\pi$
$972$	0.511738	−	0.166274i	0.0164140	−	0.00533324i
$973$	−6.53465	+	41.2582i	−0.209491	+	1.32268i
$974$	−6.49294	+	4.71740i	−0.208047	+	0.151155i
$975$	14.0873	−	6.88113i	0.451155	−	0.220372i
$976$	−10.5528	−	3.42881i	−0.337787	−	0.109754i
$977$	−1.72934	−	10.9186i	−0.0553265	−	0.349318i	−0.999786	−	0.0206898i	$-0.993414\pi$
$977$	−1.72934	−	10.9186i	−0.0553265	−	0.349318i	0.944459	−	0.328628i	$-0.106586\pi$
$978$		−	13.7208i		−	0.438742i
$979$	−48.9353	−	0.105477i	−1.56398	−	0.00337106i
$980$	−0.269104	−	0.269104i	−0.00859622	−	0.00859622i
$981$	−13.7605	+	2.17945i	−0.439338	+	0.0695844i
$982$	−6.99162	−	13.7218i	−0.223112	−	0.437881i
$983$	4.71200	+	2.40089i	0.150290	+	0.0765764i	0.527518	−	0.849544i	$-0.323123\pi$
$983$	4.71200	+	2.40089i	0.150290	+	0.0765764i	−0.377228	+	0.926120i	$0.623123\pi$
$984$	−16.0160	+	11.6363i	−0.510570	+	0.370951i
$985$	−6.14255	+	4.46283i	−0.195718	+	0.142198i
$986$	−25.5941	+	50.2312i	−0.815081	+	1.59969i
$987$	6.38007	−	19.6358i	0.203080	−	0.625015i
$988$	0.526168	+	1.71740i	0.0167396	+	0.0546376i
$989$			5.97220i			0.189905i
$990$	−0.499526	−	3.19849i	−0.0158760	−	0.101655i
$991$	30.1118			0.956533			0.478267	−	0.878215i	$-0.341265\pi$
$991$	30.1118			0.956533			0.478267	+	0.878215i	$0.341265\pi$
$992$	1.93810	+	1.40811i	0.0615347	+	0.0447076i
$993$	−24.6027	+	12.5357i	−0.780742	+	0.397808i
$994$	5.42006	−	10.6375i	0.171914	−	0.337400i
$995$	−0.418849	+	2.64451i	−0.0132784	+	0.0838366i
$996$	6.10159	+	0.966397i	0.193336	+	0.0306215i
$997$	16.5570	−	5.37971i	0.524367	−	0.170377i	−0.0348595	−	0.999392i	$-0.511098\pi$
$997$	16.5570	−	5.37971i	0.524367	−	0.170377i	0.559226	+	0.829015i	$0.311098\pi$
$998$	9.61602	−	29.5951i	0.304390	−	0.936816i
$999$	11.8901	−	1.88321i	0.376186	−	0.0595820i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.b.73.10	✓	112
11.8	odd	10	inner	429.2.bj.b.151.5	yes	112
13.5	odd	4	inner	429.2.bj.b.304.5	yes	112
143.96	even	20	inner	429.2.bj.b.382.10	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.b.73.10	✓	112	1.1	even	1	trivial
429.2.bj.b.151.5	yes	112	11.8	odd	10	inner
429.2.bj.b.304.5	yes	112	13.5	odd	4	inner
429.2.bj.b.382.10	yes	112	143.96	even	20	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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.19422 - 0.189145i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-0.511738 + 0.166274i) q^{4} +(-0.797331 - 0.126285i) q^{5} +(-0.189145 + 1.19422i) q^{6} +(-1.27410 + 2.50056i) q^{7} +(-2.73431 + 1.39320i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(1.19422 - 0.189145i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-0.511738 + 0.166274i) q^{4} +(-0.797331 - 0.126285i) q^{5} +(-0.189145 + 1.19422i) q^{6} +(-1.27410 + 2.50056i) q^{7} +(-2.73431 + 1.39320i) q^{8} +(-0.809017 - 0.587785i) q^{9} -0.976071 q^{10} +(-2.34015 - 2.35026i) q^{11} -0.538073i q^{12} +(3.18451 + 1.69083i) q^{13} +(-1.04858 + 3.22720i) q^{14} +(0.366493 - 0.719283i) q^{15} +(-2.13122 + 1.54842i) q^{16} +(-5.75395 + 4.18049i) q^{17} +(-1.07732 - 0.548921i) q^{18} +(-0.420326 - 0.824936i) q^{19} +(0.429023 - 0.0679505i) q^{20} +(-1.98446 - 1.98446i) q^{21} +(-3.23918 - 2.36409i) q^{22} +6.18897i q^{23} +(-0.480064 - 3.03101i) q^{24} +(-4.13549 - 1.34370i) q^{25} +(4.12280 + 1.41688i) q^{26} +(0.809017 - 0.587785i) q^{27} +(0.236228 - 1.49148i) q^{28} +(6.23487 - 2.02583i) q^{29} +(0.301623 - 0.928299i) q^{30} +(0.126933 + 0.801424i) q^{31} +(2.08767 - 2.08767i) q^{32} +(2.95837 - 1.49934i) q^{33} +(-6.08074 + 6.08074i) q^{34} +(1.33166 - 1.83288i) q^{35} +(0.511738 + 0.166274i) q^{36} +(10.7262 + 5.46527i) q^{37} +(-0.657992 - 0.905648i) q^{38} +(-2.59214 + 2.50616i) q^{39} +(2.35609 - 0.765540i) q^{40} +(-2.92870 - 5.74790i) q^{41} +(-2.74522 - 1.99452i) q^{42} +0.964975 q^{43} +(1.58833 + 0.813611i) q^{44} +(0.570826 + 0.570826i) q^{45} +(1.17061 + 7.39096i) q^{46} +(3.33990 + 6.55491i) q^{47} +(-0.814053 - 2.50540i) q^{48} +(-0.514984 - 0.708815i) q^{49} +(-5.19283 - 0.822463i) q^{50} +(-2.19781 - 6.76418i) q^{51} +(-1.91078 - 0.335759i) q^{52} +(-3.00777 - 2.18527i) q^{53} +(0.854964 - 0.854964i) q^{54} +(1.56907 + 2.16946i) q^{55} -8.61239i q^{56} +(0.914448 - 0.144834i) q^{57} +(7.06261 - 3.59858i) q^{58} +(-5.11705 - 2.60727i) q^{59} +(-0.0679505 + 0.429023i) q^{60} +(2.47577 + 3.40760i) q^{61} +(0.303171 + 0.933064i) q^{62} +(2.50056 - 1.27410i) q^{63} +(5.19509 - 7.15043i) q^{64} +(-2.32558 - 1.75030i) q^{65} +(3.24934 - 2.35010i) q^{66} +(0.353577 + 0.353577i) q^{67} +(2.24941 - 3.09605i) q^{68} +(-5.88606 - 1.91250i) q^{69} +(1.24361 - 2.44073i) q^{70} +(-3.47502 - 0.550389i) q^{71} +(3.03101 + 0.480064i) q^{72} +(-1.39598 + 2.73976i) q^{73} +(13.8431 + 4.49791i) q^{74} +(2.55588 - 3.51786i) q^{75} +(0.352262 + 0.352262i) q^{76} +(8.85855 - 2.85722i) q^{77} +(-2.62155 + 3.48318i) q^{78} +(-1.66894 + 2.29710i) q^{79} +(1.89483 - 0.965463i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-4.58469 - 6.31028i) q^{82} +(-1.79603 + 11.3397i) q^{83} +(1.34549 + 0.685559i) q^{84} +(5.11574 - 2.60660i) q^{85} +(1.15239 - 0.182520i) q^{86} +6.55573i q^{87} +(9.67307 + 3.16604i) q^{88} +(10.4331 - 10.4331i) q^{89} +(0.789658 + 0.573720i) q^{90} +(-8.28540 + 5.80879i) q^{91} +(-1.02906 - 3.16713i) q^{92} +(-0.801424 - 0.126933i) q^{93} +(5.22839 + 7.19626i) q^{94} +(0.230962 + 0.710828i) q^{95} +(1.34036 + 2.63061i) q^{96} +(2.61048 + 16.4819i) q^{97} +(-0.749071 - 0.749071i) q^{98} +(0.511772 + 3.27690i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

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