LMFDB - Embedded newform 770.2.n.j.631.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [770,2,Mod(71,770)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(770, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 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("770.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 770 = 2 \cdot 5 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	770.n (of order $5$, 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:	$6.14848095564$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 2 x^{11} + 11 x^{10} - 11 x^{9} + 39 x^{8} - 43 x^{7} + 99 x^{6} + 36 x^{5} + 431 x^{4} + \cdots + 25 $ x^12 - 2x^11 + 11x^10 - 11x^9 + 39x^8 - 43x^7 + 99x^6 + 36x^5 + 431x^4 - 350x^3 + 510x^2 - 175*x + 25
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			631.3
Root			$1.66582 + 1.21029i$ of defining polynomial
Character	$\chi$	$=$	770.631
Dual form			770.2.n.j.421.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(0.636285 - 1.95828i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(1.66582 - 1.21029i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.00297 - 0.728698i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(0.636285 - 1.95828i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(1.66582 - 1.21029i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.00297 - 0.728698i) q^{9} -1.00000 q^{10} +(1.76927 - 2.80530i) q^{11} +2.05906 q^{12} +(1.83855 + 1.33578i) q^{13} +(-0.309017 + 0.951057i) q^{14} +(0.636285 + 1.95828i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(6.02629 - 4.37835i) q^{17} +(-0.383099 - 1.17906i) q^{18} +(-0.263232 + 0.810144i) q^{19} +(-0.809017 - 0.587785i) q^{20} +2.05906 q^{21} +(3.08028 - 1.22959i) q^{22} +0.651398 q^{23} +(1.66582 + 1.21029i) q^{24} +(0.309017 - 0.951057i) q^{25} +(0.702263 + 2.16134i) q^{26} +(2.93228 - 2.13042i) q^{27} +(-0.809017 + 0.587785i) q^{28} +(0.731260 + 2.25059i) q^{29} +(-0.636285 + 1.95828i) q^{30} +(0.117329 + 0.0852442i) q^{31} -1.00000 q^{32} +(-4.36781 - 5.24969i) q^{33} +7.44890 q^{34} +(-0.809017 - 0.587785i) q^{35} +(0.383099 - 1.17906i) q^{36} +(0.719116 + 2.21321i) q^{37} +(-0.689150 + 0.500697i) q^{38} +(3.78568 - 2.75046i) q^{39} +(-0.309017 - 0.951057i) q^{40} +(1.43449 - 4.41491i) q^{41} +(1.66582 + 1.21029i) q^{42} -11.7588 q^{43} +(3.21473 + 0.815786i) q^{44} +1.23973 q^{45} +(0.526992 + 0.382882i) q^{46} +(-1.63018 + 5.01717i) q^{47} +(0.636285 + 1.95828i) q^{48} +(-0.809017 + 0.587785i) q^{49} +(0.809017 - 0.587785i) q^{50} +(-4.73962 - 14.5871i) q^{51} +(-0.702263 + 2.16134i) q^{52} +(0.778794 + 0.565827i) q^{53} +3.62450 q^{54} +(0.217548 + 3.30948i) q^{55} -1.00000 q^{56} +(1.41900 + 1.03097i) q^{57} +(-0.731260 + 2.25059i) q^{58} +(0.322293 + 0.991917i) q^{59} +(-1.66582 + 1.21029i) q^{60} +(2.90344 - 2.10947i) q^{61} +(0.0448155 + 0.137928i) q^{62} +(0.383099 - 1.17906i) q^{63} +(-0.809017 - 0.587785i) q^{64} -2.27257 q^{65} +(-0.447944 - 6.81443i) q^{66} -0.430333 q^{67} +(6.02629 + 4.37835i) q^{68} +(0.414475 - 1.27562i) q^{69} +(-0.309017 - 0.951057i) q^{70} +(-8.60669 + 6.25312i) q^{71} +(1.00297 - 0.728698i) q^{72} +(-0.359240 - 1.10563i) q^{73} +(-0.719116 + 2.21321i) q^{74} +(-1.66582 - 1.21029i) q^{75} -0.851836 q^{76} +(3.21473 + 0.815786i) q^{77} +4.67936 q^{78} +(-8.66195 - 6.29328i) q^{79} +(0.309017 - 0.951057i) q^{80} +(-3.45551 - 10.6350i) q^{81} +(3.75555 - 2.72857i) q^{82} +(-0.876708 + 0.636966i) q^{83} +(0.636285 + 1.95828i) q^{84} +(-2.30184 + 7.08432i) q^{85} +(-9.51309 - 6.91166i) q^{86} +4.87258 q^{87} +(2.12126 + 2.54956i) q^{88} +3.73563 q^{89} +(1.00297 + 0.728698i) q^{90} +(-0.702263 + 2.16134i) q^{91} +(0.201293 + 0.619516i) q^{92} +(0.241587 - 0.175523i) q^{93} +(-4.26786 + 3.10078i) q^{94} +(-0.263232 - 0.810144i) q^{95} +(-0.636285 + 1.95828i) q^{96} +(1.19721 + 0.869822i) q^{97} -1.00000 q^{98} +(-3.81873 + 1.52436i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} - 3 q^{7} + 3 q^{8} + 6 q^{9}+O(q^{10}) $ 12 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 - 3 * q^7 + 3 * q^8 + 6 * q^9	\( 12 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} - 3 q^{7} + 3 q^{8} + 6 q^{9} - 12 q^{10} - q^{11} - 2 q^{12} + 2 q^{13} + 3 q^{14} + 3 q^{15} - 3 q^{16} + 7 q^{17} + 9 q^{18} + 6 q^{19} - 3 q^{20} - 2 q^{21} + q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 7 q^{26} - 3 q^{27} - 3 q^{28} + 20 q^{29} - 3 q^{30} + 6 q^{31} - 12 q^{32} - 12 q^{33} + 18 q^{34} - 3 q^{35} - 9 q^{36} + 22 q^{37} - 6 q^{38} + 23 q^{39} + 3 q^{40} + 2 q^{41} + 2 q^{42} - 60 q^{43} - 11 q^{44} + 6 q^{45} + 2 q^{46} - 4 q^{47} + 3 q^{48} - 3 q^{49} + 3 q^{50} + 13 q^{51} + 7 q^{52} + 18 q^{53} + 8 q^{54} + 14 q^{55} - 12 q^{56} + 8 q^{57} - 20 q^{58} - 32 q^{59} - 2 q^{60} + 8 q^{61} + 14 q^{62} - 9 q^{63} - 3 q^{64} - 18 q^{65} - 8 q^{66} + 36 q^{67} + 7 q^{68} + 50 q^{69} + 3 q^{70} - 34 q^{71} - 6 q^{72} + 14 q^{73} - 22 q^{74} - 2 q^{75} - 24 q^{76} - 11 q^{77} - 38 q^{78} - 12 q^{79} - 3 q^{80} + 4 q^{81} - 2 q^{82} + 30 q^{83} + 3 q^{84} + 2 q^{85} - 28 q^{87} + q^{88} - 36 q^{89} - 6 q^{90} + 7 q^{91} - 2 q^{92} + 12 q^{93} - 11 q^{94} + 6 q^{95} - 3 q^{96} + 39 q^{97} - 12 q^{98} - 15 q^{99}+O(q^{100}) \) 12 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 - 3 * q^7 + 3 * q^8 + 6 * q^9 - 12 * q^10 - q^11 - 2 * q^12 + 2 * q^13 + 3 * q^14 + 3 * q^15 - 3 * q^16 + 7 * q^17 + 9 * q^18 + 6 * q^19 - 3 * q^20 - 2 * q^21 + q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 7 * q^26 - 3 * q^27 - 3 * q^28 + 20 * q^29 - 3 * q^30 + 6 * q^31 - 12 * q^32 - 12 * q^33 + 18 * q^34 - 3 * q^35 - 9 * q^36 + 22 * q^37 - 6 * q^38 + 23 * q^39 + 3 * q^40 + 2 * q^41 + 2 * q^42 - 60 * q^43 - 11 * q^44 + 6 * q^45 + 2 * q^46 - 4 * q^47 + 3 * q^48 - 3 * q^49 + 3 * q^50 + 13 * q^51 + 7 * q^52 + 18 * q^53 + 8 * q^54 + 14 * q^55 - 12 * q^56 + 8 * q^57 - 20 * q^58 - 32 * q^59 - 2 * q^60 + 8 * q^61 + 14 * q^62 - 9 * q^63 - 3 * q^64 - 18 * q^65 - 8 * q^66 + 36 * q^67 + 7 * q^68 + 50 * q^69 + 3 * q^70 - 34 * q^71 - 6 * q^72 + 14 * q^73 - 22 * q^74 - 2 * q^75 - 24 * q^76 - 11 * q^77 - 38 * q^78 - 12 * q^79 - 3 * q^80 + 4 * q^81 - 2 * q^82 + 30 * q^83 + 3 * q^84 + 2 * q^85 - 28 * q^87 + q^88 - 36 * q^89 - 6 * q^90 + 7 * q^91 - 2 * q^92 + 12 * q^93 - 11 * q^94 + 6 * q^95 - 3 * q^96 + 39 * q^97 - 12 * q^98 - 15 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/770\mathbb{Z}\right)^\times$.

$n$	$211$	$617$	$661$
$\chi(n)$	$e\left(\frac{1}{5}\right)$	$1$	$1$

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 $

$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$3$	0.636285	−	1.95828i	0.367359	−	1.13062i	−0.581131	−	0.813810i	$-0.697390\pi$
$3$	0.636285	−	1.95828i	0.367359	−	1.13062i	0.948490	−	0.316806i	$-0.102610\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−0.809017	+	0.587785i	−0.361803	+	0.262866i
$5$	−0.809017	+	0.587785i	−0.361803	+	0.262866i
$6$	1.66582	−	1.21029i	0.680066	−	0.494097i
$7$	0.309017	+	0.951057i	0.116797	+	0.359466i
$7$	0.309017	+	0.951057i	0.116797	+	0.359466i
$8$	−0.309017	+	0.951057i	−0.109254	+	0.336249i
$9$	−1.00297	−	0.728698i	−0.334322	−	0.242899i
$10$	−1.00000			−0.316228
$11$	1.76927	−	2.80530i	0.533454	−	0.845829i
$11$	1.76927	−	2.80530i	0.533454	−	0.845829i
$12$	2.05906			0.594400
$13$	1.83855	+	1.33578i	0.509921	+	0.370480i	0.812794	−	0.582552i	$-0.197946\pi$
$13$	1.83855	+	1.33578i	0.509921	+	0.370480i	−0.302872	+	0.953031i	$0.597946\pi$
$14$	−0.309017	+	0.951057i	−0.0825883	+	0.254181i
$15$	0.636285	+	1.95828i	0.164288	+	0.505627i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	6.02629	−	4.37835i	1.46159	−	1.06191i	0.478644	−	0.878009i	$-0.341129\pi$
$17$	6.02629	−	4.37835i	1.46159	−	1.06191i	0.982945	−	0.183897i	$-0.0588714\pi$
$18$	−0.383099	−	1.17906i	−0.0902973	−	0.277907i
$19$	−0.263232	+	0.810144i	−0.0603895	+	0.185860i	−0.976700	−	0.214608i	$-0.931152\pi$
$19$	−0.263232	+	0.810144i	−0.0603895	+	0.185860i	0.916311	+	0.400468i	$0.131152\pi$
$20$	−0.809017	−	0.587785i	−0.180902	−	0.131433i
$21$	2.05906			0.449324
$22$	3.08028	−	1.22959i	0.656718	−	0.262149i
$23$	0.651398			0.135826			0.0679130	−	0.997691i	$-0.478366\pi$
$23$	0.651398			0.135826			0.0679130	+	0.997691i	$0.478366\pi$
$24$	1.66582	+	1.21029i	0.340033	+	0.247049i
$25$	0.309017	−	0.951057i	0.0618034	−	0.190211i
$26$	0.702263	+	2.16134i	0.137725	+	0.423874i
$27$	2.93228	−	2.13042i	0.564317	−	0.410000i
$28$	−0.809017	+	0.587785i	−0.152890	+	0.111081i
$29$	0.731260	+	2.25059i	0.135792	+	0.417923i	0.995712	−	0.0925042i	$-0.0294871\pi$
$29$	0.731260	+	2.25059i	0.135792	+	0.417923i	−0.859921	+	0.510428i	$0.829487\pi$
$30$	−0.636285	+	1.95828i	−0.116169	+	0.357532i
$31$	0.117329	+	0.0852442i	0.0210728	+	0.0153103i	0.598272	−	0.801293i	$-0.295854\pi$
$31$	0.117329	+	0.0852442i	0.0210728	+	0.0153103i	−0.577199	+	0.816604i	$0.695854\pi$
$32$	−1.00000			−0.176777
$33$	−4.36781	−	5.24969i	−0.760339	−	0.913854i
$34$	7.44890			1.27748
$35$	−0.809017	−	0.587785i	−0.136749	−	0.0993538i
$36$	0.383099	−	1.17906i	0.0638498	−	0.196510i
$37$	0.719116	+	2.21321i	0.118222	+	0.363850i	0.992605	−	0.121386i	$-0.0387338\pi$
$37$	0.719116	+	2.21321i	0.118222	+	0.363850i	−0.874383	+	0.485236i	$0.838734\pi$
$38$	−0.689150	+	0.500697i	−0.111795	+	0.0812237i
$39$	3.78568	−	2.75046i	0.606194	−	0.440426i
$40$	−0.309017	−	0.951057i	−0.0488599	−	0.150375i
$41$	1.43449	−	4.41491i	0.224030	−	0.689494i	−0.774359	−	0.632747i	$-0.781927\pi$
$41$	1.43449	−	4.41491i	0.224030	−	0.689494i	0.998389	−	0.0567466i	$-0.0180727\pi$
$42$	1.66582	+	1.21029i	0.257041	+	0.186751i
$43$	−11.7588			−1.79320			−0.896602	−	0.442837i	$-0.853972\pi$
$43$	−11.7588			−1.79320			−0.896602	+	0.442837i	$0.853972\pi$
$44$	3.21473	+	0.815786i	0.484639	+	0.122984i
$45$	1.23973			0.184809
$46$	0.526992	+	0.382882i	0.0777008	+	0.0564529i
$47$	−1.63018	+	5.01717i	−0.237786	+	0.731829i	0.758954	+	0.651144i	$0.225711\pi$
$47$	−1.63018	+	5.01717i	−0.237786	+	0.731829i	−0.996740	+	0.0806850i	$0.974289\pi$
$48$	0.636285	+	1.95828i	0.0918398	+	0.282654i
$49$	−0.809017	+	0.587785i	−0.115574	+	0.0839693i
$50$	0.809017	−	0.587785i	0.114412	−	0.0831254i
$51$	−4.73962	−	14.5871i	−0.663680	−	2.04260i
$52$	−0.702263	+	2.16134i	−0.0973863	+	0.299724i
$53$	0.778794	+	0.565827i	0.106976	+	0.0777223i	0.639987	−	0.768386i	$-0.278940\pi$
$53$	0.778794	+	0.565827i	0.106976	+	0.0777223i	−0.533011	+	0.846108i	$0.678940\pi$
$54$	3.62450			0.493231
$55$	0.217548	+	3.30948i	0.0293341	+	0.446251i
$56$	−1.00000			−0.133631
$57$	1.41900	+	1.03097i	0.187951	+	0.136555i
$58$	−0.731260	+	2.25059i	−0.0960191	+	0.295516i
$59$	0.322293	+	0.991917i	0.0419590	+	0.129137i	0.969842	−	0.243736i	$-0.0783730\pi$
$59$	0.322293	+	0.991917i	0.0419590	+	0.129137i	−0.927883	+	0.372872i	$0.878373\pi$
$60$	−1.66582	+	1.21029i	−0.215056	+	0.156247i
$61$	2.90344	−	2.10947i	0.371747	−	0.270090i	−0.386188	−	0.922420i	$-0.626208\pi$
$61$	2.90344	−	2.10947i	0.371747	−	0.270090i	0.757935	+	0.652330i	$0.226208\pi$
$62$	0.0448155	+	0.137928i	0.00569158	+	0.0175169i
$63$	0.383099	−	1.17906i	0.0482659	−	0.148547i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−2.27257			−0.281878
$66$	−0.447944	−	6.81443i	−0.0551381	−	0.838798i
$67$	−0.430333			−0.0525735			−0.0262868	−	0.999654i	$-0.508368\pi$
$67$	−0.430333			−0.0525735			−0.0262868	+	0.999654i	$0.508368\pi$
$68$	6.02629	+	4.37835i	0.730795	+	0.530953i
$69$	0.414475	−	1.27562i	0.0498969	−	0.153567i
$70$	−0.309017	−	0.951057i	−0.0369346	−	0.113673i
$71$	−8.60669	+	6.25312i	−1.02143	+	0.742109i	−0.966575	−	0.256385i	$-0.917468\pi$
$71$	−8.60669	+	6.25312i	−1.02143	+	0.742109i	−0.0548510	+	0.998495i	$0.517468\pi$
$72$	1.00297	−	0.728698i	0.118201	−	0.0858778i
$73$	−0.359240	−	1.10563i	−0.0420459	−	0.129404i	0.927830	−	0.373003i	$-0.121672\pi$
$73$	−0.359240	−	1.10563i	−0.0420459	−	0.129404i	−0.969876	+	0.243599i	$0.921672\pi$
$74$	−0.719116	+	2.21321i	−0.0835956	+	0.257281i
$75$	−1.66582	−	1.21029i	−0.192352	−	0.139752i
$76$	−0.851836			−0.0977123
$77$	3.21473	+	0.815786i	0.366353	+	0.0929675i
$78$	4.67936			0.529833
$79$	−8.66195	−	6.29328i	−0.974546	−	0.708049i	−0.0180630	−	0.999837i	$-0.505750\pi$
$79$	−8.66195	−	6.29328i	−0.974546	−	0.708049i	−0.956483	+	0.291788i	$0.905750\pi$
$80$	0.309017	−	0.951057i	0.0345492	−	0.106331i
$81$	−3.45551	−	10.6350i	−0.383945	−	1.18166i
$82$	3.75555	−	2.72857i	0.414731	−	0.301320i
$83$	−0.876708	+	0.636966i	−0.0962312	+	0.0699161i	−0.634860	−	0.772627i	$-0.718942\pi$
$83$	−0.876708	+	0.636966i	−0.0962312	+	0.0699161i	0.538629	+	0.842543i	$0.318942\pi$
$84$	0.636285	+	1.95828i	0.0694244	+	0.213666i
$85$	−2.30184	+	7.08432i	−0.249669	+	0.768403i
$86$	−9.51309	−	6.91166i	−1.02582	−	0.745304i
$87$	4.87258			0.522395
$88$	2.12126	+	2.54956i	0.226128	+	0.271784i
$89$	3.73563			0.395976			0.197988	−	0.980204i	$-0.436559\pi$
$89$	3.73563			0.395976			0.197988	+	0.980204i	$0.436559\pi$
$90$	1.00297	+	0.728698i	0.105722	+	0.0768115i
$91$	−0.702263	+	2.16134i	−0.0736171	+	0.226570i
$92$	0.201293	+	0.619516i	0.0209863	+	0.0645891i
$93$	0.241587	−	0.175523i	0.0250514	−	0.0182009i
$94$	−4.26786	+	3.10078i	−0.440196	+	0.319821i
$95$	−0.263232	−	0.810144i	−0.0270070	−	0.0831190i
$96$	−0.636285	+	1.95828i	−0.0649406	+	0.199867i
$97$	1.19721	+	0.869822i	0.121558	+	0.0883170i	0.646903	−	0.762572i	$-0.276064\pi$
$97$	1.19721	+	0.869822i	0.121558	+	0.0883170i	−0.525345	+	0.850889i	$0.676064\pi$
$98$	−1.00000			−0.101015
$99$	−3.81873	+	1.52436i	−0.383797	+	0.153204i
$100$	1.00000			0.100000
$101$	11.2876	+	8.20093i	1.12316	+	0.816023i	0.984685	−	0.174343i	$-0.0557802\pi$
$101$	11.2876	+	8.20093i	1.12316	+	0.816023i	0.138474	+	0.990366i	$0.455780\pi$
$102$	4.73962	−	14.5871i	0.469293	−	1.44433i
$103$	−0.434349	−	1.33679i	−0.0427977	−	0.131718i	0.927375	−	0.374134i	$-0.122060\pi$
$103$	−0.434349	−	1.33679i	−0.0427977	−	0.131718i	−0.970172	+	0.242416i	$0.922060\pi$
$104$	−1.83855	+	1.33578i	−0.180284	+	0.130984i
$105$	−1.66582	+	1.21029i	−0.162567	+	0.118112i
$106$	0.297473	+	0.915528i	0.0288931	+	0.0889239i
$107$	−5.84913	+	18.0018i	−0.565456	+	1.74030i	0.101136	+	0.994873i	$0.467752\pi$
$107$	−5.84913	+	18.0018i	−0.565456	+	1.74030i	−0.666592	+	0.745423i	$0.732248\pi$
$108$	2.93228	+	2.13042i	0.282159	+	0.205000i
$109$	−10.8423			−1.03850			−0.519252	−	0.854621i	$-0.673789\pi$
$109$	−10.8423			−1.03850			−0.519252	+	0.854621i	$0.673789\pi$
$110$	−1.76927	+	2.80530i	−0.168693	+	0.267475i
$111$	4.79166			0.454804
$112$	−0.809017	−	0.587785i	−0.0764449	−	0.0555405i
$113$	−5.30300	+	16.3209i	−0.498864	+	1.53535i	0.311983	+	0.950088i	$0.399007\pi$
$113$	−5.30300	+	16.3209i	−0.498864	+	1.53535i	−0.810847	+	0.585258i	$0.800993\pi$
$114$	0.542010	+	1.66814i	0.0507639	+	0.156235i
$115$	−0.526992	+	0.382882i	−0.0491423	+	0.0357040i
$116$	−1.91446	+	1.39094i	−0.177753	+	0.129145i
$117$	−0.870619	−	2.67949i	−0.0804888	−	0.247719i
$118$	−0.322293	+	0.991917i	−0.0296695	+	0.0913134i
$119$	6.02629	+	4.37835i	0.552429	+	0.401363i
$120$	−2.05906			−0.187966
$121$	−4.73940	−	9.92663i	−0.430855	−	0.902421i
$122$	3.58885			0.324919
$123$	−7.73291	−	5.61829i	−0.697253	−	0.506584i
$124$	−0.0448155	+	0.137928i	−0.00402456	+	0.0123863i
$125$	0.309017	+	0.951057i	0.0276393	+	0.0850651i
$126$	1.00297	−	0.728698i	0.0893513	−	0.0649175i
$127$	−8.99528	+	6.53545i	−0.798202	+	0.579927i	−0.910386	−	0.413760i	$-0.864215\pi$
$127$	−8.99528	+	6.53545i	−0.798202	+	0.579927i	0.112184	+	0.993687i	$0.464215\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	−7.48197	+	23.0271i	−0.658750	+	2.02742i
$130$	−1.83855	−	1.33578i	−0.161251	−	0.117156i
$131$	−10.9162			−0.953749			−0.476874	−	0.878971i	$-0.658230\pi$
$131$	−10.9162			−0.953749			−0.476874	+	0.878971i	$0.658230\pi$
$132$	3.64303	−	5.77628i	0.317085	−	0.502761i
$133$	−0.851836			−0.0738635
$134$	−0.348147	−	0.252943i	−0.0300753	−	0.0218510i
$135$	−1.12003	+	3.44710i	−0.0963969	+	0.296679i
$136$	2.30184	+	7.08432i	0.197381	+	0.607476i
$137$	3.89426	−	2.82935i	0.332709	−	0.241727i	−0.408870	−	0.912593i	$-0.634077\pi$
$137$	3.89426	−	2.82935i	0.332709	−	0.241727i	0.741579	+	0.670865i	$0.234077\pi$
$138$	1.08511	−	0.788378i	0.0923706	−	0.0671112i
$139$	−3.13442	−	9.64676i	−0.265858	−	0.818228i	−0.991494	−	0.130149i	$-0.958454\pi$
$139$	−3.13442	−	9.64676i	−0.265858	−	0.818228i	0.725636	−	0.688079i	$-0.241546\pi$
$140$	0.309017	−	0.951057i	0.0261167	−	0.0803789i
$141$	8.78779	+	6.38470i	0.740065	+	0.537689i
$142$	−10.6384			−0.892759
$143$	7.00015	−	2.79432i	0.585382	−	0.233673i
$144$	1.23973			0.103311
$145$	−1.91446	−	1.39094i	−0.158988	−	0.115511i
$146$	0.359240	−	1.10563i	0.0297309	−	0.0915023i
$147$	0.636285	+	1.95828i	0.0524799	+	0.161517i
$148$	−1.88267	+	1.36784i	−0.154755	+	0.112436i
$149$	−1.52445	+	1.10758i	−0.124888	+	0.0907362i	−0.648476	−	0.761235i	$-0.724593\pi$
$149$	−1.52445	+	1.10758i	−0.124888	+	0.0907362i	0.523588	+	0.851972i	$0.324593\pi$
$150$	−0.636285	−	1.95828i	−0.0519525	−	0.159893i
$151$	4.44445	−	13.6786i	0.361684	−	1.11315i	−0.590347	−	0.807150i	$-0.701009\pi$
$151$	4.44445	−	13.6786i	0.361684	−	1.11315i	0.952031	−	0.306001i	$-0.0989910\pi$
$152$	−0.689150	−	0.500697i	−0.0558974	−	0.0406119i
$153$	−9.23466			−0.746578
$154$	2.12126	+	2.54956i	0.170936	+	0.205449i
$155$	−0.145026			−0.0116488
$156$	3.78568	+	2.75046i	0.303097	+	0.220213i
$157$	−3.91186	+	12.0395i	−0.312200	+	0.960853i	0.664692	+	0.747118i	$0.268563\pi$
$157$	−3.91186	+	12.0395i	−0.312200	+	0.960853i	−0.976892	+	0.213735i	$0.931437\pi$
$158$	−3.30857	−	10.1827i	−0.263216	−	0.810095i
$159$	1.60359	−	1.16507i	0.127173	−	0.0923963i
$160$	0.809017	−	0.587785i	0.0639584	−	0.0464685i
$161$	0.201293	+	0.619516i	0.0158641	+	0.0488247i
$162$	3.45551	−	10.6350i	0.271490	−	0.835562i
$163$	7.24298	+	5.26234i	0.567314	+	0.412178i	0.834129	−	0.551570i	$-0.185971\pi$
$163$	7.24298	+	5.26234i	0.567314	+	0.412178i	−0.266814	+	0.963748i	$0.585971\pi$
$164$	4.64211			0.362488
$165$	6.61933	+	1.67975i	0.515314	+	0.130769i
$166$	−1.08367			−0.0841091
$167$	−5.14911	−	3.74104i	−0.398450	−	0.289491i	0.370459	−	0.928849i	$-0.379200\pi$
$167$	−5.14911	−	3.74104i	−0.398450	−	0.289491i	−0.768909	+	0.639358i	$0.779200\pi$
$168$	−0.636285	+	1.95828i	−0.0490905	+	0.151085i
$169$	−2.42128	−	7.45193i	−0.186252	−	0.573226i
$170$	−6.02629	+	4.37835i	−0.462195	+	0.335804i
$171$	0.854363	−	0.620731i	0.0653347	−	0.0474685i
$172$	−3.63368	−	11.1833i	−0.277065	−	0.852719i
$173$	−7.54711	+	23.2276i	−0.573796	+	1.76596i	0.0664468	+	0.997790i	$0.478834\pi$
$173$	−7.54711	+	23.2276i	−0.573796	+	1.76596i	−0.640243	+	0.768173i	$0.721166\pi$
$174$	3.94200	+	2.86403i	0.298842	+	0.217121i
$175$	1.00000			0.0755929
$176$	0.217548	+	3.30948i	0.0163983	+	0.249462i
$177$	2.14753			0.161418
$178$	3.02219	+	2.19575i	0.226522	+	0.164578i
$179$	1.79467	−	5.52343i	0.134140	−	0.412840i	−0.861315	−	0.508071i	$-0.830359\pi$
$179$	1.79467	−	5.52343i	0.134140	−	0.412840i	0.995455	+	0.0952305i	$0.0303588\pi$
$180$	0.383099	+	1.17906i	0.0285545	+	0.0878818i
$181$	10.4211	−	7.57136i	0.774593	−	0.562775i	−0.128758	−	0.991676i	$-0.541099\pi$
$181$	10.4211	−	7.57136i	0.774593	−	0.562775i	0.903351	+	0.428901i	$0.141099\pi$
$182$	−1.83855	+	1.33578i	−0.136282	+	0.0990148i
$183$	−2.28353	−	7.02798i	−0.168803	−	0.519524i
$184$	−0.201293	+	0.619516i	−0.0148395	+	0.0456714i
$185$	−1.88267	−	1.36784i	−0.138417	−	0.100566i
$186$	0.298618			0.0218957
$187$	−1.62049	−	24.6520i	−0.118502	−	1.80273i
$188$	−5.27536			−0.384746
$189$	2.93228	+	2.13042i	0.213292	+	0.154966i
$190$	0.263232	−	0.810144i	0.0190968	−	0.0587740i
$191$	−1.74864	−	5.38175i	−0.126527	−	0.389410i	0.867649	−	0.497177i	$-0.165630\pi$
$191$	−1.74864	−	5.38175i	−0.126527	−	0.389410i	−0.994176	+	0.107767i	$0.965630\pi$
$192$	−1.66582	+	1.21029i	−0.120220	+	0.0873449i
$193$	−11.1546	+	8.10429i	−0.802925	+	0.583359i	−0.911771	−	0.410699i	$-0.865285\pi$
$193$	−11.1546	+	8.10429i	−0.802925	+	0.583359i	0.108845	+	0.994059i	$0.465285\pi$
$194$	0.457292	+	1.40740i	0.0328317	+	0.101046i
$195$	−1.44600	+	4.45034i	−0.103550	+	0.318695i
$196$	−0.809017	−	0.587785i	−0.0577869	−	0.0419847i
$197$	2.82825			0.201504			0.100752	−	0.994912i	$-0.467875\pi$
$197$	2.82825			0.201504			0.100752	+	0.994912i	$0.467875\pi$
$198$	−3.98541	−	1.01136i	−0.283231	−	0.0718741i
$199$	−0.513194			−0.0363793			−0.0181897	−	0.999835i	$-0.505790\pi$
$199$	−0.513194			−0.0363793			−0.0181897	+	0.999835i	$0.505790\pi$
$200$	0.809017	+	0.587785i	0.0572061	+	0.0415627i
$201$	−0.273814	+	0.842714i	−0.0193134	+	0.0594405i
$202$	4.31148	+	13.2694i	0.303355	+	0.933630i
$203$	−1.91446	+	1.39094i	−0.134369	+	0.0976248i
$204$	12.4085	−	9.01530i	0.868768	−	0.631197i
$205$	1.43449	+	4.41491i	0.100189	+	0.308351i
$206$	0.434349	−	1.33679i	0.0302625	−	0.0931385i
$207$	−0.653330	−	0.474672i	−0.0454096	−	0.0329920i
$208$	−2.27257			−0.157574
$209$	1.80697	+	2.17180i	0.124991	+	0.150227i
$210$	−2.05906			−0.142089
$211$	16.5157	+	11.9994i	1.13699	+	0.826071i	0.986697	−	0.162571i	$-0.0519785\pi$
$211$	16.5157	+	11.9994i	1.13699	+	0.826071i	0.150292	+	0.988642i	$0.451979\pi$
$212$	−0.297473	+	0.915528i	−0.0204305	+	0.0628787i
$213$	6.76908	+	20.8331i	0.463810	+	1.42746i
$214$	−15.3132	+	11.1257i	−1.04679	+	0.760537i
$215$	9.51309	−	6.91166i	0.648787	−	0.471372i
$216$	1.12003	+	3.44710i	0.0762084	+	0.234545i
$217$	−0.0448155	+	0.137928i	−0.00304228	+	0.00936317i
$218$	−8.77160	−	6.37294i	−0.594088	−	0.431630i
$219$	−2.39371			−0.161752
$220$	−3.08028	+	1.22959i	−0.207672	+	0.0828987i
$221$	16.9281			1.13871
$222$	3.87654	+	2.81647i	0.260176	+	0.189029i
$223$	4.73710	−	14.5793i	0.317220	−	0.976302i	−0.657611	−	0.753357i	$-0.728433\pi$
$223$	4.73710	−	14.5793i	0.317220	−	0.976302i	0.974831	−	0.222945i	$-0.0715669\pi$
$224$	−0.309017	−	0.951057i	−0.0206471	−	0.0635451i
$225$	−1.00297	+	0.728698i	−0.0668644	+	0.0485798i
$226$	−13.8834	+	10.0869i	−0.923512	+	0.670970i
$227$	−8.90051	−	27.3930i	−0.590748	−	1.81813i	−0.574847	−	0.818261i	$-0.694939\pi$
$227$	−8.90051	−	27.3930i	−0.590748	−	1.81813i	−0.0159001	−	0.999874i	$-0.505061\pi$
$228$	−0.542010	+	1.66814i	−0.0358955	+	0.110475i
$229$	−5.71909	−	4.15516i	−0.377928	−	0.274581i	0.382563	−	0.923930i	$-0.375042\pi$
$229$	−5.71909	−	4.15516i	−0.377928	−	0.274581i	−0.760491	+	0.649349i	$0.775042\pi$
$230$	−0.651398			−0.0429519
$231$	3.64303	−	5.77628i	0.239694	−	0.380051i
$232$	−2.36641			−0.155362
$233$	−20.3134	−	14.7586i	−1.33078	−	0.966867i	−0.999730	−	0.0232532i	$-0.992598\pi$
$233$	−20.3134	−	14.7586i	−1.33078	−	0.966867i	−0.331049	−	0.943614i	$-0.607402\pi$
$234$	0.870619	−	2.67949i	0.0569142	−	0.175164i
$235$	−1.63018	−	5.01717i	−0.106341	−	0.327284i
$236$	−0.843775	+	0.613038i	−0.0549251	+	0.0399054i
$237$	−17.8355	+	12.9582i	−1.15854	+	0.841729i
$238$	2.30184	+	7.08432i	0.149206	+	0.459209i
$239$	2.80951	−	8.64679i	0.181732	−	0.559314i	−0.818144	−	0.575013i	$-0.804997\pi$
$239$	2.80951	−	8.64679i	0.181732	−	0.559314i	0.999877	+	0.0156982i	$0.00499710\pi$
$240$	−1.66582	−	1.21029i	−0.107528	−	0.0781236i
$241$	11.8409			0.762739			0.381370	−	0.924423i	$-0.375452\pi$
$241$	11.8409			0.762739			0.381370	+	0.924423i	$0.375452\pi$
$242$	2.00047	−	10.8166i	0.128595	−	0.695315i
$243$	−12.1515			−0.779518
$244$	2.90344	+	2.10947i	0.185874	+	0.135045i
$245$	0.309017	−	0.951057i	0.0197424	−	0.0607608i
$246$	−2.95371	−	9.09058i	−0.188322	−	0.579594i
$247$	−1.56614	+	1.13787i	−0.0996512	+	0.0724008i
$248$	−0.117329	+	0.0852442i	−0.00745038	+	0.00541301i
$249$	0.689523	+	2.12213i	0.0436968	+	0.134485i
$250$	−0.309017	+	0.951057i	−0.0195440	+	0.0601501i
$251$	9.93669	+	7.21943i	0.627198	+	0.455686i	0.855428	−	0.517921i	$-0.173294\pi$
$251$	9.93669	+	7.21943i	0.627198	+	0.455686i	−0.228230	+	0.973607i	$0.573294\pi$
$252$	1.23973			0.0780959
$253$	1.15250	−	1.82737i	0.0724568	−	0.114886i
$254$	−11.1188			−0.697654
$255$	12.4085	+	9.01530i	0.777050	+	0.564560i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−7.37965	−	22.7122i	−0.460330	−	1.41675i	−0.864762	−	0.502182i	$-0.832531\pi$
$257$	−7.37965	−	22.7122i	−0.460330	−	1.41675i	0.404432	−	0.914568i	$-0.367469\pi$
$258$	−19.5880	+	14.2315i	−1.21950	+	0.886017i
$259$	−1.88267	+	1.36784i	−0.116984	+	0.0849935i
$260$	−0.702263	−	2.16134i	−0.0435525	−	0.134041i
$261$	0.906568	−	2.79013i	0.0561151	−	0.172705i
$262$	−8.83135	−	6.41635i	−0.545603	−	0.396404i
$263$	−10.5902			−0.653019			−0.326509	−	0.945194i	$-0.605872\pi$
$263$	−10.5902			−0.653019			−0.326509	+	0.945194i	$0.605872\pi$
$264$	6.34248	−	2.53179i	0.390353	−	0.155821i
$265$	−0.962643			−0.0591347
$266$	−0.689150	−	0.500697i	−0.0422545	−	0.0306997i
$267$	2.37692	−	7.31542i	0.145465	−	0.447697i
$268$	−0.132980	−	0.409271i	−0.00812306	−	0.0250002i
$269$	−13.4069	+	9.74071i	−0.817436	+	0.593902i	−0.915977	−	0.401231i	$-0.868582\pi$
$269$	−13.4069	+	9.74071i	−0.817436	+	0.593902i	0.0985413	+	0.995133i	$0.468582\pi$
$270$	−2.93228	+	2.13042i	−0.178453	+	0.129654i
$271$	−9.09263	−	27.9842i	−0.552338	−	1.69992i	−0.702871	−	0.711317i	$-0.748099\pi$
$271$	−9.09263	−	27.9842i	−0.552338	−	1.69992i	0.150533	−	0.988605i	$-0.451901\pi$
$272$	−2.30184	+	7.08432i	−0.139569	+	0.429550i
$273$	3.78568	+	2.75046i	0.229120	+	0.166465i
$274$	4.81357			0.290799
$275$	−2.12126	−	2.54956i	−0.127917	−	0.153744i
$276$	1.34127			0.0807349
$277$	−24.0224	−	17.4533i	−1.44337	−	1.04867i	−0.987326	−	0.158707i	$-0.949267\pi$
$277$	−24.0224	−	17.4533i	−1.44337	−	1.04867i	−0.456040	−	0.889959i	$-0.650733\pi$
$278$	3.13442	−	9.64676i	0.187990	−	0.578574i
$279$	−0.0555594	−	0.170994i	−0.00332625	−	0.0102372i
$280$	0.809017	−	0.587785i	0.0483480	−	0.0351269i
$281$	19.2607	−	13.9938i	1.14900	−	0.834797i	0.160652	−	0.987011i	$-0.448640\pi$
$281$	19.2607	−	13.9938i	1.14900	−	0.834797i	0.988348	+	0.152214i	$0.0486402\pi$
$282$	3.35664	+	10.3307i	0.199885	+	0.615182i
$283$	−5.40892	+	16.6469i	−0.321527	+	0.989558i	0.651457	+	0.758685i	$0.274158\pi$
$283$	−5.40892	+	16.6469i	−0.321527	+	0.989558i	−0.972984	+	0.230872i	$0.925842\pi$
$284$	−8.60669	−	6.25312i	−0.510713	−	0.371055i
$285$	−1.75398			−0.103897
$286$	7.30570	+	1.85393i	0.431995	+	0.109625i
$287$	4.64211			0.274015
$288$	1.00297	+	0.728698i	0.0591004	+	0.0429389i
$289$	11.8929	−	36.6025i	0.699580	−	2.15309i
$290$	−0.731260	−	2.25059i	−0.0429411	−	0.132159i
$291$	2.46512	−	1.79102i	0.144508	−	0.104991i
$292$	0.940503	−	0.683315i	0.0550387	−	0.0399880i
$293$	7.14368	+	21.9860i	0.417338	+	1.28443i	0.910143	+	0.414294i	$0.135972\pi$
$293$	7.14368	+	21.9860i	0.417338	+	1.28443i	−0.492805	+	0.870140i	$0.664028\pi$
$294$	−0.636285	+	1.95828i	−0.0371089	+	0.114209i
$295$	−0.843775	−	0.613038i	−0.0491265	−	0.0356925i
$296$	−2.32711			−0.135261
$297$	−0.788500	−	11.9952i	−0.0457534	−	0.696032i
$298$	−1.88432			−0.109156
$299$	1.19763	+	0.870127i	0.0692605	+	0.0503207i
$300$	0.636285	−	1.95828i	0.0367359	−	0.113062i
$301$	−3.63368	−	11.1833i	−0.209442	−	0.644595i
$302$	11.6357	−	8.45385i	0.669561	−	0.486465i
$303$	23.2419	−	16.8862i	1.33521	−	0.970088i
$304$	−0.263232	−	0.810144i	−0.0150974	−	0.0464650i
$305$	−1.10902	+	3.41320i	−0.0635020	+	0.195439i
$306$	−7.47099	−	5.42800i	−0.427088	−	0.310298i
$307$	−17.1933			−0.981271			−0.490635	−	0.871365i	$-0.663235\pi$
$307$	−17.1933			−0.981271			−0.490635	+	0.871365i	$0.663235\pi$
$308$	0.217548	+	3.30948i	0.0123959	+	0.188575i
$309$	−2.89418			−0.164644
$310$	−0.117329	−	0.0852442i	−0.00666382	−	0.00484155i
$311$	−4.31715	+	13.2868i	−0.244803	+	0.753427i	0.750866	+	0.660455i	$0.229637\pi$
$311$	−4.31715	+	13.2868i	−0.244803	+	0.753427i	−0.995669	+	0.0929716i	$0.970363\pi$
$312$	1.44600	+	4.45034i	0.0818638	+	0.251951i
$313$	−8.47796	+	6.15960i	−0.479202	+	0.348161i	−0.801017	−	0.598642i	$-0.795707\pi$
$313$	−8.47796	+	6.15960i	−0.479202	+	0.348161i	0.321814	+	0.946803i	$0.395707\pi$
$314$	−10.2414	+	7.44079i	−0.577954	+	0.419908i
$315$	0.383099	+	1.17906i	0.0215852	+	0.0664324i
$316$	3.30857	−	10.1827i	0.186122	−	0.572824i
$317$	26.1115	+	18.9711i	1.46657	+	1.06553i	0.981590	+	0.191000i	$0.0611729\pi$
$317$	26.1115	+	18.9711i	1.46657	+	1.06553i	0.484980	+	0.874526i	$0.338827\pi$
$318$	1.98214			0.111153
$319$	7.60736	+	1.93048i	0.425930	+	0.108086i
$320$	1.00000			0.0559017
$321$	31.5308	+	22.9085i	1.75988	+	1.27863i
$322$	−0.201293	+	0.619516i	−0.0112176	+	0.0345243i
$323$	1.96079	+	6.03468i	0.109101	+	0.335779i
$324$	9.04664	−	6.57277i	0.502591	−	0.365154i
$325$	1.83855	−	1.33578i	0.101984	−	0.0740959i
$326$	2.76657	+	8.51464i	0.153226	+	0.471582i
$327$	−6.89879	+	21.2323i	−0.381504	+	1.17415i
$328$	3.75555	+	2.72857i	0.207366	+	0.150660i
$329$	−5.27536			−0.290840
$330$	4.36781	+	5.24969i	0.240440	+	0.288986i
$331$	27.1275			1.49106			0.745532	−	0.666470i	$-0.232196\pi$
$331$	27.1275			1.49106			0.745532	+	0.666470i	$0.232196\pi$
$332$	−0.876708	−	0.636966i	−0.0481156	−	0.0349580i
$333$	0.891513	−	2.74380i	0.0488546	−	0.150359i
$334$	−1.96678	−	6.05314i	−0.107618	−	0.331213i
$335$	0.348147	−	0.252943i	0.0190213	−	0.0138198i
$336$	−1.66582	+	1.21029i	−0.0908777	+	0.0660265i
$337$	7.98182	+	24.5655i	0.434797	+	1.33817i	0.893294	+	0.449473i	$0.148388\pi$
$337$	7.98182	+	24.5655i	0.434797	+	1.33817i	−0.458497	+	0.888696i	$0.651612\pi$
$338$	2.42128	−	7.45193i	0.131700	−	0.405332i
$339$	28.5868	+	20.7695i	1.55262	+	1.12805i
$340$	−7.44890			−0.403973
$341$	0.446721	−	0.178322i	0.0241913	−	0.00965669i
$342$	1.05605			0.0571047
$343$	−0.809017	−	0.587785i	−0.0436828	−	0.0317374i
$344$	3.63368	−	11.1833i	0.195915	−	0.602964i
$345$	0.414475	+	1.27562i	0.0223146	+	0.0686772i
$346$	−19.7586	+	14.3555i	−1.06223	+	0.771754i
$347$	−5.02278	+	3.64926i	−0.269637	+	0.195903i	−0.714385	−	0.699753i	$-0.753293\pi$
$347$	−5.02278	+	3.64926i	−0.269637	+	0.195903i	0.444748	+	0.895656i	$0.353293\pi$
$348$	1.50571	+	4.63410i	0.0807145	+	0.248414i
$349$	−3.19990	+	9.84828i	−0.171287	+	0.527166i	−0.999444	−	0.0333289i	$-0.989389\pi$
$349$	−3.19990	+	9.84828i	−0.171287	+	0.527166i	0.828158	+	0.560495i	$0.189389\pi$
$350$	0.809017	+	0.587785i	0.0432438	+	0.0314184i
$351$	8.23692			0.439654
$352$	−1.76927	+	2.80530i	−0.0943022	+	0.149523i
$353$	27.4798			1.46260			0.731300	−	0.682055i	$-0.238914\pi$
$353$	27.4798			1.46260			0.731300	+	0.682055i	$0.238914\pi$
$354$	1.73738	+	1.26228i	0.0923409	+	0.0670896i
$355$	3.28746	−	10.1178i	0.174480	−	0.536995i
$356$	1.15437	+	3.55279i	0.0611816	+	0.188298i
$357$	12.4085	−	9.01530i	0.656727	−	0.477140i
$358$	4.69851	−	3.41367i	0.248324	−	0.180418i
$359$	0.00949977	+	0.0292373i	0.000501379	+	0.00154309i	0.951307	−	0.308245i	$-0.0997418\pi$
$359$	0.00949977	+	0.0292373i	0.000501379	+	0.00154309i	−0.950806	+	0.309788i	$0.899742\pi$
$360$	−0.383099	+	1.17906i	−0.0201911	+	0.0621418i
$361$	14.7843	+	10.7414i	0.778120	+	0.565337i
$362$	12.8812			0.677019
$363$	−22.4548	+	2.96492i	−1.17857	+	0.155618i
$364$	−2.27257			−0.119115
$365$	0.940503	+	0.683315i	0.0492282	+	0.0357663i
$366$	2.28353	−	7.02798i	0.119362	−	0.367359i
$367$	−3.18068	−	9.78913i	−0.166030	−	0.510988i	0.833081	−	0.553152i	$-0.186575\pi$
$367$	−3.18068	−	9.78913i	−0.166030	−	0.510988i	−0.999111	+	0.0421633i	$0.986575\pi$
$368$	−0.526992	+	0.382882i	−0.0274714	+	0.0199591i
$369$	−4.65588	+	3.38270i	−0.242376	+	0.176096i
$370$	−0.719116	−	2.21321i	−0.0373851	−	0.115059i
$371$	−0.297473	+	0.915528i	−0.0154440	+	0.0475318i
$372$	0.241587	+	0.175523i	0.0125257	+	0.00910045i
$373$	−12.2144			−0.632438			−0.316219	−	0.948686i	$-0.602413\pi$
$373$	−12.2144			−0.632438			−0.316219	+	0.948686i	$0.602413\pi$
$374$	13.1791	−	20.8964i	0.681474	−	1.08053i
$375$	2.05906			0.106329
$376$	−4.26786	−	3.10078i	−0.220098	−	0.159911i
$377$	−1.66184	+	5.11461i	−0.0855891	+	0.263416i
$378$	1.12003	+	3.44710i	0.0576082	+	0.177300i
$379$	−0.565995	+	0.411219i	−0.0290732	+	0.0211229i	−0.602227	−	0.798325i	$-0.705720\pi$
$379$	−0.565995	+	0.411219i	−0.0290732	+	0.0211229i	0.573154	+	0.819448i	$0.305720\pi$
$380$	0.689150	−	0.500697i	0.0353526	−	0.0256852i
$381$	7.07471	+	21.7737i	0.362448	+	1.11550i
$382$	1.74864	−	5.38175i	0.0894680	−	0.275354i
$383$	30.2999	+	22.0141i	1.54825	+	1.12487i	0.944884	+	0.327405i	$0.106174\pi$
$383$	30.2999	+	22.0141i	1.54825	+	1.12487i	0.603366	+	0.797464i	$0.293826\pi$
$384$	−2.05906			−0.105076
$385$	−3.08028	+	1.22959i	−0.156986	+	0.0626655i
$386$	−13.7878			−0.701783
$387$	11.7937	+	8.56863i	0.599508	+	0.435568i
$388$	−0.457292	+	1.40740i	−0.0232155	+	0.0714500i
$389$	−2.67263	−	8.22550i	−0.135508	−	0.417049i	0.860161	−	0.510022i	$-0.170363\pi$
$389$	−2.67263	−	8.22550i	−0.135508	−	0.417049i	−0.995669	+	0.0929732i	$0.970363\pi$
$390$	−3.78568	+	2.75046i	−0.191696	+	0.139275i
$391$	3.92551	−	2.85205i	0.198522	−	0.144234i
$392$	−0.309017	−	0.951057i	−0.0156077	−	0.0480356i
$393$	−6.94578	+	21.3769i	−0.350368	+	1.07832i
$394$	2.28810	+	1.66240i	0.115273	+	0.0837507i
$395$	10.7068			0.538716
$396$	−2.62980	−	3.16077i	−0.132153	−	0.158835i
$397$	9.10554			0.456994			0.228497	−	0.973545i	$-0.426619\pi$
$397$	9.10554			0.456994			0.228497	+	0.973545i	$0.426619\pi$
$398$	−0.415182	−	0.301648i	−0.0208112	−	0.0151202i
$399$	−0.542010	+	1.66814i	−0.0271345	+	0.0835113i
$400$	0.309017	+	0.951057i	0.0154508	+	0.0475528i
$401$	−15.5758	+	11.3165i	−0.777819	+	0.565118i	−0.904324	−	0.426848i	$-0.859624\pi$
$401$	−15.5758	+	11.3165i	−0.777819	+	0.565118i	0.126505	+	0.991966i	$0.459624\pi$
$402$	−0.716856	+	0.520826i	−0.0357535	+	0.0259764i
$403$	0.101846	+	0.313451i	0.00507333	+	0.0156141i
$404$	−4.31148	+	13.2694i	−0.214504	+	0.660176i
$405$	9.04664	+	6.57277i	0.449531	+	0.326603i
$406$	−2.36641			−0.117443
$407$	7.48103	+	1.89842i	0.370821	+	0.0941014i
$408$	15.3377			0.759331
$409$	−21.6505	−	15.7300i	−1.07055	−	0.777798i	−0.0945361	−	0.995521i	$-0.530137\pi$
$409$	−21.6505	−	15.7300i	−1.07055	−	0.777798i	−0.976010	+	0.217724i	$0.930137\pi$
$410$	−1.43449	+	4.41491i	−0.0708445	+	0.218037i
$411$	−3.06280	−	9.42634i	−0.151077	−	0.464967i
$412$	1.13714	−	0.826181i	0.0560229	−	0.0407030i
$413$	−0.843775	+	0.613038i	−0.0415194	+	0.0301656i
$414$	−0.249550	−	0.768036i	−0.0122647	−	0.0377469i
$415$	0.334873	−	1.03063i	0.0164382	−	0.0505917i
$416$	−1.83855	−	1.33578i	−0.0901422	−	0.0654922i
$417$	−20.8855			−1.02277
$418$	0.185315	+	2.81914i	0.00906404	+	0.137888i
$419$	−24.4437			−1.19415			−0.597075	−	0.802185i	$-0.703671\pi$
$419$	−24.4437			−1.19415			−0.597075	+	0.802185i	$0.703671\pi$
$420$	−1.66582	−	1.21029i	−0.0812835	−	0.0590559i
$421$	−2.42703	+	7.46962i	−0.118286	+	0.364047i	−0.992618	−	0.121281i	$-0.961300\pi$
$421$	−2.42703	+	7.46962i	−0.118286	+	0.364047i	0.874332	+	0.485328i	$0.161300\pi$
$422$	6.30844	+	19.4154i	0.307090	+	0.945127i
$423$	5.29101	−	3.84415i	0.257258	−	0.186909i
$424$	−0.778794	+	0.565827i	−0.0378216	+	0.0274790i
$425$	−2.30184	−	7.08432i	−0.111655	−	0.343640i
$426$	−6.76908	+	20.8331i	−0.327963	+	1.00937i
$427$	2.90344	+	2.10947i	0.140507	+	0.102085i
$428$	−18.9282			−0.914927
$429$	−1.01798	−	15.4863i	−0.0491487	−	0.747684i
$430$	11.7588			0.567061
$431$	19.2683	+	13.9993i	0.928123	+	0.674321i	0.945533	−	0.325527i	$-0.105542\pi$
$431$	19.2683	+	13.9993i	0.928123	+	0.674321i	−0.0174092	+	0.999848i	$0.505542\pi$
$432$	−1.12003	+	3.44710i	−0.0538875	+	0.165849i
$433$	4.77092	+	14.6834i	0.229276	+	0.705638i	0.997829	+	0.0658530i	$0.0209768\pi$
$433$	4.77092	+	14.6834i	0.229276	+	0.705638i	−0.768553	+	0.639786i	$0.779023\pi$
$434$	−0.117329	+	0.0852442i	−0.00563195	+	0.00409185i
$435$	−3.94200	+	2.86403i	−0.189004	+	0.137320i
$436$	−3.35045	−	10.3116i	−0.160458	−	0.493838i
$437$	−0.171469	+	0.527726i	−0.00820246	+	0.0252446i
$438$	−1.93655	−	1.40699i	−0.0925321	−	0.0672285i
$439$	29.0621			1.38706			0.693530	−	0.720428i	$-0.256054\pi$
$439$	29.0621			1.38706			0.693530	+	0.720428i	$0.256054\pi$
$440$	−3.21473	−	0.815786i	−0.153256	−	0.0388911i
$441$	1.23973			0.0590350
$442$	13.6952	+	9.95011i	0.651412	+	0.473279i
$443$	10.7268	−	33.0136i	0.509644	−	1.56852i	−0.283176	−	0.959068i	$-0.591388\pi$
$443$	10.7268	−	33.0136i	0.509644	−	1.56852i	0.792820	−	0.609456i	$-0.208612\pi$
$444$	1.48071	+	4.55714i	0.0702712	+	0.216272i
$445$	−3.02219	+	2.19575i	−0.143265	+	0.104088i
$446$	12.4019	−	9.01050i	0.587246	−	0.426660i
$447$	1.19897	+	3.69004i	0.0567091	+	0.174533i
$448$	0.309017	−	0.951057i	0.0145997	−	0.0449332i
$449$	24.8578	+	18.0603i	1.17311	+	0.852316i	0.991378	−	0.131031i	$-0.0418289\pi$
$449$	24.8578	+	18.0603i	1.17311	+	0.852316i	0.181734	+	0.983348i	$0.441829\pi$
$450$	−1.23973			−0.0584416
$451$	−9.84715	−	11.8353i	−0.463684	−	0.557304i
$452$	−17.1609			−0.807179
$453$	−23.9587	−	17.4070i	−1.12568	−	0.817852i
$454$	8.90051	−	27.3930i	0.417722	−	1.28561i
$455$	−0.702263	−	2.16134i	−0.0329226	−	0.101325i
$456$	−1.41900	+	1.03097i	−0.0664508	+	0.0482794i
$457$	−16.5794	+	12.0456i	−0.775551	+	0.563470i	−0.903640	−	0.428292i	$-0.859115\pi$
$457$	−16.5794	+	12.0456i	−0.775551	+	0.563470i	0.128090	+	0.991763i	$0.459115\pi$
$458$	−2.18450	−	6.72319i	−0.102075	−	0.314154i
$459$	8.34300	−	25.6771i	0.389418	−	1.19850i
$460$	−0.526992	−	0.382882i	−0.0245711	−	0.0178520i
$461$	17.5629			0.817988			0.408994	−	0.912537i	$-0.365880\pi$
$461$	17.5629			0.817988			0.408994	+	0.912537i	$0.365880\pi$
$462$	6.34248	−	2.53179i	0.295079	−	0.117790i
$463$	13.6361			0.633721			0.316861	−	0.948472i	$-0.397371\pi$
$463$	13.6361			0.633721			0.316861	+	0.948472i	$0.397371\pi$
$464$	−1.91446	−	1.39094i	−0.0888767	−	0.0645727i
$465$	−0.0922780	+	0.284002i	−0.00427929	+	0.0131703i
$466$	−7.75905	−	23.8799i	−0.359431	−	1.10621i
$467$	24.8538	−	18.0573i	1.15010	−	0.835594i	0.161603	−	0.986856i	$-0.448334\pi$
$467$	24.8538	−	18.0573i	1.15010	−	0.835594i	0.988494	+	0.151262i	$0.0483337\pi$
$468$	2.27931	−	1.65602i	0.105361	−	0.0765494i
$469$	−0.132980	−	0.409271i	−0.00614046	−	0.0188984i
$470$	1.63018	−	5.01717i	0.0751945	−	0.231425i
$471$	21.0876	+	15.3210i	0.971666	+	0.705957i
$472$	−1.04296			−0.0480063
$473$	−20.8045	+	32.9870i	−0.956591	+	1.51674i
$474$	−22.0459			−1.01260
$475$	0.689150	+	0.500697i	0.0316204	+	0.0229735i
$476$	−2.30184	+	7.08432i	−0.105505	+	0.324709i
$477$	−0.368787	−	1.13501i	−0.0168856	−	0.0519686i
$478$	7.35540	−	5.34401i	0.336428	−	0.244429i
$479$	−28.0591	+	20.3861i	−1.28205	+	0.931466i	−0.999613	−	0.0278193i	$-0.991144\pi$
$479$	−28.0591	+	20.3861i	−1.28205	+	0.931466i	−0.282440	+	0.959285i	$0.591144\pi$
$480$	−0.636285	−	1.95828i	−0.0290423	−	0.0893830i
$481$	−1.63424	+	5.02968i	−0.0745150	+	0.229334i
$482$	9.57949	+	6.95991i	0.436334	+	0.317015i
$483$	1.34127			0.0610298
$484$	7.97624	−	7.57494i	0.362556	−	0.344315i
$485$	−1.47983			−0.0671956
$486$	−9.83075	−	7.14246i	−0.445932	−	0.323989i
$487$	10.9779	−	33.7864i	0.497455	−	1.53101i	−0.315641	−	0.948879i	$-0.602220\pi$
$487$	10.9779	−	33.7864i	0.497455	−	1.53101i	0.813096	−	0.582130i	$-0.197780\pi$
$488$	1.10902	+	3.41320i	0.0502028	+	0.154508i
$489$	14.9138	−	10.8355i	0.674423	−	0.489997i
$490$	0.809017	−	0.587785i	0.0365477	−	0.0265534i
$491$	8.05325	+	24.7854i	0.363438	+	1.11855i	0.950953	+	0.309334i	$0.100106\pi$
$491$	8.05325	+	24.7854i	0.363438	+	1.11855i	−0.587515	+	0.809213i	$0.699894\pi$
$492$	2.95371	−	9.09058i	0.133163	−	0.409835i
$493$	14.2606	+	10.3610i	0.642267	+	0.466634i
$494$	−1.93586			−0.0870983
$495$	2.19342	−	3.47783i	0.0985869	−	0.156317i
$496$	−0.145026			−0.00651187
$497$	−8.60669	−	6.25312i	−0.386063	−	0.280491i
$498$	−0.689523	+	2.12213i	−0.0308983	+	0.0950951i
$499$	4.22071	+	12.9900i	0.188945	+	0.581513i	0.999994	−	0.00346524i	$-0.00110302\pi$
$499$	4.22071	+	12.9900i	0.188945	+	0.581513i	−0.811049	+	0.584978i	$0.801103\pi$
$500$	−0.809017	+	0.587785i	−0.0361803	+	0.0262866i
$501$	−10.6023	+	7.70304i	−0.473677	+	0.344147i
$502$	3.79548	+	11.6813i	0.169400	+	0.521361i
$503$	10.4115	−	32.0434i	0.464228	−	1.42875i	−0.395724	−	0.918370i	$-0.629506\pi$
$503$	10.4115	−	32.0434i	0.464228	−	1.42875i	0.859951	−	0.510376i	$-0.170494\pi$
$504$	1.00297	+	0.728698i	0.0446757	+	0.0324588i
$505$	−13.9523			−0.620867
$506$	2.00649	−	0.800950i	0.0891993	−	0.0356066i
$507$	−16.1336			−0.716519
$508$	−8.99528	−	6.53545i	−0.399101	−	0.289964i
$509$	7.75019	−	23.8526i	0.343521	−	1.05725i	−0.618850	−	0.785510i	$-0.712401\pi$
$509$	7.75019	−	23.8526i	0.343521	−	1.05725i	0.962371	−	0.271740i	$-0.0875990\pi$
$510$	4.73962	+	14.5871i	0.209874	+	0.645926i
$511$	0.940503	−	0.683315i	0.0416054	−	0.0302281i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	0.954082	+	2.93636i	0.0421238	+	0.129644i
$514$	7.37965	−	22.7122i	0.325503	−	1.00179i
$515$	1.13714	+	0.826181i	0.0501084	+	0.0364059i
$516$	−24.2121			−1.06588
$517$	11.1904	+	13.4498i	0.492155	+	0.591523i
$518$	−2.32711			−0.102247
$519$	40.6841	+	29.5588i	1.78584	+	1.29749i
$520$	0.702263	−	2.16134i	0.0307963	−	0.0947811i
$521$	−7.18506	−	22.1133i	−0.314783	−	0.968803i	−0.975844	−	0.218470i	$-0.929893\pi$
$521$	−7.18506	−	22.1133i	−0.314783	−	0.968803i	0.661061	−	0.750332i	$-0.270107\pi$
$522$	2.37343	−	1.72439i	0.103882	−	0.0754747i
$523$	−0.160733	+	0.116779i	−0.00702836	+	0.00510640i	−0.591294	−	0.806456i	$-0.701383\pi$
$523$	−0.160733	+	0.116779i	−0.00702836	+	0.00510640i	0.584266	+	0.811563i	$0.301383\pi$
$524$	−3.37328	−	10.3819i	−0.147362	−	0.453534i
$525$	0.636285	−	1.95828i	0.0277698	−	0.0854665i
$526$	−8.56764	−	6.22475i	−0.373567	−	0.271412i
$527$	1.08029			0.0470580
$528$	6.61933	+	1.67975i	0.288069	+	0.0731019i
$529$	−22.5757			−0.981551
$530$	−0.778794	−	0.565827i	−0.0338287	−	0.0245780i
$531$	0.399558	−	1.22971i	0.0173393	−	0.0533650i
$532$	−0.263232	−	0.810144i	−0.0114125	−	0.0351242i
$533$	8.53475	−	6.20086i	0.369681	−	0.268589i
$534$	6.22287	−	4.52118i	0.269290	−	0.195651i
$535$	−5.84913	−	18.0018i	−0.252880	−	0.778284i
$536$	0.132980	−	0.409271i	0.00574387	−	0.0176778i
$537$	−9.67452	−	7.02895i	−0.417486	−	0.303321i
$538$	−16.5719			−0.714465
$539$	0.217548	+	3.30948i	0.00937044	+	0.142549i
$540$	−3.62450			−0.155973
$541$	−26.3290	−	19.1291i	−1.13197	−	0.822425i	−0.145991	−	0.989286i	$-0.546637\pi$
$541$	−26.3290	−	19.1291i	−1.13197	−	0.822425i	−0.985980	+	0.166861i	$0.946637\pi$
$542$	9.09263	−	27.9842i	0.390562	−	1.20203i
$543$	−8.19610	−	25.2250i	−0.351728	−	1.08251i
$544$	−6.02629	+	4.37835i	−0.258375	+	0.187720i
$545$	8.77160	−	6.37294i	0.375734	−	0.272987i
$546$	1.44600	+	4.45034i	0.0618832	+	0.190457i
$547$	−7.65443	+	23.5579i	−0.327280	+	1.00726i	0.643121	+	0.765764i	$0.277639\pi$
$547$	−7.65443	+	23.5579i	−0.327280	+	1.00726i	−0.970401	+	0.241499i	$0.922361\pi$
$548$	3.89426	+	2.82935i	0.166355	+	0.120864i
$549$	−4.44922			−0.189888
$550$	−0.217548	−	3.30948i	−0.00927626	−	0.141117i
$551$	−2.01579			−0.0858755
$552$	1.08511	+	0.788378i	0.0461853	+	0.0335556i
$553$	3.30857	−	10.1827i	0.140695	−	0.433014i
$554$	−9.17574	−	28.2400i	−0.389840	−	1.19980i
$555$	−3.87654	+	2.81647i	−0.164550	+	0.119552i
$556$	8.20603	−	5.96203i	0.348013	−	0.252846i
$557$	11.5552	+	35.5634i	0.489612	+	1.50687i	0.825189	+	0.564857i	$0.191069\pi$
$557$	11.5552	+	35.5634i	0.489612	+	1.50687i	−0.335577	+	0.942013i	$0.608931\pi$
$558$	0.0555594	−	0.170994i	0.00235202	−	0.00723876i
$559$	−21.6192	−	15.7072i	−0.914393	−	0.664346i
$560$	1.00000			0.0422577
$561$	−49.3067	−	12.5123i	−2.08173	−	0.528271i
$562$	23.8076			1.00426
$563$	−13.9919	−	10.1657i	−0.589688	−	0.428433i	0.252516	−	0.967593i	$-0.418742\pi$
$563$	−13.9919	−	10.1657i	−0.589688	−	0.428433i	−0.842204	+	0.539159i	$0.818742\pi$
$564$	−3.35664	+	10.3307i	−0.141340	+	0.434999i
$565$	−5.30300	−	16.3209i	−0.223099	−	0.686627i
$566$	−14.1607	+	10.2884i	−0.595220	+	0.432453i
$567$	9.04664	−	6.57277i	0.379923	−	0.276030i
$568$	−3.28746	−	10.1178i	−0.137939	−	0.424532i
$569$	11.8699	−	36.5317i	0.497611	−	1.53149i	−0.315236	−	0.949013i	$-0.602084\pi$
$569$	11.8699	−	36.5317i	0.497611	−	1.53149i	0.812847	−	0.582477i	$-0.197916\pi$
$570$	−1.41900	−	1.03097i	−0.0594354	−	0.0431824i
$571$	−5.08249			−0.212696			−0.106348	−	0.994329i	$-0.533916\pi$
$571$	−5.08249			−0.212696			−0.106348	+	0.994329i	$0.533916\pi$
$572$	4.82072	+	5.79404i	0.201565	+	0.242261i
$573$	−11.6516			−0.486754
$574$	3.75555	+	2.72857i	0.156754	+	0.113888i
$575$	0.201293	−	0.619516i	0.00839450	−	0.0258356i
$576$	0.383099	+	1.17906i	0.0159625	+	0.0491274i
$577$	−33.4419	+	24.2970i	−1.39221	+	1.01150i	−0.396586	+	0.917998i	$0.629805\pi$
$577$	−33.4419	+	24.2970i	−1.39221	+	1.01150i	−0.995619	+	0.0934986i	$0.970195\pi$
$578$	31.1359	−	22.6216i	1.29508	−	0.940933i
$579$	8.77300	+	27.0005i	0.364593	+	1.12210i
$580$	0.731260	−	2.25059i	0.0303639	−	0.0934505i
$581$	−0.876708	−	0.636966i	−0.0363720	−	0.0264258i
$582$	3.04706			0.126305
$583$	2.96521	−	1.18365i	0.122806	−	0.0490219i
$584$	1.16253			0.0481056
$585$	2.27931	+	1.65602i	0.0942379	+	0.0684679i
$586$	−7.14368	+	21.9860i	−0.295102	+	0.908232i
$587$	−2.13878	−	6.58248i	−0.0882767	−	0.271688i	0.897167	−	0.441692i	$-0.145622\pi$
$587$	−2.13878	−	6.58248i	−0.0882767	−	0.271688i	−0.985443	+	0.170005i	$0.945622\pi$
$588$	−1.66582	+	1.21029i	−0.0686971	+	0.0499114i
$589$	−0.0999447	+	0.0726141i	−0.00411815	+	0.00299201i
$590$	−0.322293	−	0.991917i	−0.0132686	−	0.0408366i
$591$	1.79957	−	5.53851i	0.0740245	−	0.227824i
$592$	−1.88267	−	1.36784i	−0.0773773	−	0.0562179i
$593$	22.7439			0.933979			0.466989	−	0.884263i	$-0.345339\pi$
$593$	22.7439			0.933979			0.466989	+	0.884263i	$0.345339\pi$
$594$	6.41269	−	10.1678i	0.263116	−	0.417190i
$595$	−7.44890			−0.305375
$596$	−1.52445	−	1.10758i	−0.0624438	−	0.0453681i
$597$	−0.326537	+	1.00498i	−0.0133643	+	0.0411311i
$598$	0.457453	+	1.40789i	0.0187066	+	0.0575731i
$599$	−3.34147	+	2.42772i	−0.136529	+	0.0991939i	−0.653953	−	0.756535i	$-0.726891\pi$
$599$	−3.34147	+	2.42772i	−0.136529	+	0.0991939i	0.517425	+	0.855729i	$0.326891\pi$
$600$	1.66582	−	1.21029i	0.0680066	−	0.0494097i
$601$	1.19615	+	3.68139i	0.0487922	+	0.150167i	0.972484	−	0.232969i	$-0.0748441\pi$
$601$	1.19615	+	3.68139i	0.0487922	+	0.150167i	−0.923692	+	0.383136i	$0.874844\pi$
$602$	3.63368	−	11.1833i	0.148098	−	0.455798i
$603$	0.431610	+	0.313583i	0.0175765	+	0.0127701i
$604$	14.3826			0.585218
$605$	9.66899	+	5.24507i	0.393100	+	0.213242i
$606$	28.7285			1.16702
$607$	−24.0865	−	17.4999i	−0.977643	−	0.710299i	−0.0204621	−	0.999791i	$-0.506514\pi$
$607$	−24.0865	−	17.4999i	−0.977643	−	0.710299i	−0.957181	+	0.289492i	$0.906514\pi$
$608$	0.263232	−	0.810144i	0.0106755	−	0.0328557i
$609$	1.50571	+	4.63410i	0.0610144	+	0.187783i
$610$	−2.90344	+	2.10947i	−0.117557	+	0.0854100i
$611$	−9.69901	+	7.04674i	−0.392380	+	0.285081i
$612$	−2.85367	−	8.78268i	−0.115353	−	0.355019i
$613$	−8.07315	+	24.8466i	−0.326071	+	1.00354i	0.644883	+	0.764281i	$0.276906\pi$
$613$	−8.07315	+	24.8466i	−0.326071	+	1.00354i	−0.970955	+	0.239264i	$0.923094\pi$
$614$	−13.9096	−	10.1059i	−0.561347	−	0.407843i
$615$	9.55840			0.385432
$616$	−1.76927	+	2.80530i	−0.0712857	+	0.113029i
$617$	13.3021			0.535524			0.267762	−	0.963485i	$-0.413716\pi$
$617$	13.3021			0.535524			0.267762	+	0.963485i	$0.413716\pi$
$618$	−2.34144	−	1.70116i	−0.0941866	−	0.0684306i
$619$	−2.87138	+	8.83720i	−0.115411	+	0.355197i	−0.992032	−	0.125983i	$-0.959792\pi$
$619$	−2.87138	+	8.83720i	−0.115411	+	0.355197i	0.876622	+	0.481180i	$0.159792\pi$
$620$	−0.0448155	−	0.137928i	−0.00179984	−	0.00553932i
$621$	1.91008	−	1.38775i	0.0766489	−	0.0556887i
$622$	−11.3024	+	8.21171i	−0.453187	+	0.329259i
$623$	1.15437	+	3.55279i	0.0462490	+	0.142340i
$624$	−1.44600	+	4.45034i	−0.0578864	+	0.178156i
$625$	−0.809017	−	0.587785i	−0.0323607	−	0.0235114i
$626$	−10.4793			−0.418838
$627$	5.40276	−	2.15667i	0.215765	−	0.0861292i
$628$	−12.6590			−0.505150
$629$	14.0238	+	10.1889i	0.559167	+	0.406258i
$630$	−0.383099	+	1.17906i	−0.0152630	+	0.0469748i
$631$	−9.18101	−	28.2562i	−0.365490	−	1.12486i	−0.949674	−	0.313241i	$-0.898585\pi$
$631$	−9.18101	−	28.2562i	−0.365490	−	1.12486i	0.584183	−	0.811622i	$-0.301415\pi$
$632$	8.66195	−	6.29328i	0.344554	−	0.250333i
$633$	34.0069	−	24.7075i	1.35165	−	0.982033i
$634$	9.97372	+	30.6959i	0.396107	+	1.21909i
$635$	3.43589	−	10.5746i	0.136349	−	0.419639i
$636$	1.60359	+	1.16507i	0.0635863	+	0.0461981i
$637$	−2.27257			−0.0900425
$638$	5.01977	+	6.03329i	0.198735	+	0.238860i
$639$	13.1889			0.521743
$640$	0.809017	+	0.587785i	0.0319792	+	0.0232343i
$641$	−5.29679	+	16.3018i	−0.209211	+	0.643884i	0.790303	+	0.612716i	$0.209923\pi$
$641$	−5.29679	+	16.3018i	−0.209211	+	0.643884i	−0.999514	+	0.0311686i	$0.990077\pi$
$642$	12.0437	+	37.0667i	0.475327	+	1.46291i
$643$	20.8173	−	15.1247i	0.820955	−	0.596459i	−0.0960309	−	0.995378i	$-0.530615\pi$
$643$	20.8173	−	15.1247i	0.820955	−	0.596459i	0.916986	+	0.398920i	$0.130615\pi$
$644$	−0.526992	+	0.382882i	−0.0207664	+	0.0150877i
$645$	−7.48197	−	23.0271i	−0.294602	−	0.906692i
$646$	−1.96079	+	6.03468i	−0.0771461	+	0.237431i
$647$	17.5057	+	12.7186i	0.688220	+	0.500021i	0.876074	−	0.482176i	$-0.160153\pi$
$647$	17.5057	+	12.7186i	0.688220	+	0.500021i	−0.187855	+	0.982197i	$0.560153\pi$
$648$	11.1823			0.439281
$649$	3.35285	+	0.850835i	0.131611	+	0.0333982i
$650$	2.27257			0.0891375
$651$	0.241587	+	0.175523i	0.00946854	+	0.00687929i
$652$	−2.76657	+	8.51464i	−0.108347	+	0.333459i
$653$	11.9176	+	36.6785i	0.466371	+	1.43534i	0.857250	+	0.514900i	$0.172171\pi$
$653$	11.9176	+	36.6785i	0.466371	+	1.43534i	−0.390880	+	0.920442i	$0.627829\pi$
$654$	−18.0613	+	13.1223i	−0.706251	+	0.513122i
$655$	8.83135	−	6.41635i	0.345070	−	0.250708i
$656$	1.43449	+	4.41491i	0.0560075	+	0.172373i
$657$	−0.445362	+	1.37068i	−0.0173752	+	0.0534755i
$658$	−4.26786	−	3.10078i	−0.166378	−	0.120881i
$659$	−41.3104			−1.60923			−0.804613	−	0.593799i	$-0.797627\pi$
$659$	−41.3104			−1.60923			−0.804613	+	0.593799i	$0.797627\pi$
$660$	0.447944	+	6.81443i	0.0174362	+	0.265251i
$661$	−17.6230			−0.685456			−0.342728	−	0.939435i	$-0.611351\pi$
$661$	−17.6230			−0.685456			−0.342728	+	0.939435i	$0.611351\pi$
$662$	21.9466	+	15.9452i	0.852980	+	0.619726i
$663$	10.7711	−	33.1501i	0.418316	−	1.28744i
$664$	−0.334873	−	1.03063i	−0.0129956	−	0.0399963i
$665$	0.689150	−	0.500697i	0.0267241	−	0.0194162i
$666$	2.33401	−	1.69576i	0.0904412	−	0.0657093i
$667$	0.476341	+	1.46603i	0.0184440	+	0.0567648i
$668$	1.96678	−	6.05314i	0.0760971	−	0.234203i
$669$	−25.5363	−	18.5532i	−0.987289	−	0.717307i
$670$	0.430333			0.0166252
$671$	−0.780745	−	11.8772i	−0.0301403	−	0.458515i
$672$	−2.05906			−0.0794300
$673$	19.3403	+	14.0516i	0.745515	+	0.541649i	0.894434	−	0.447201i	$-0.147579\pi$
$673$	19.3403	+	14.0516i	0.745515	+	0.541649i	−0.148918	+	0.988850i	$0.547579\pi$
$674$	−7.98182	+	24.5655i	−0.307448	+	0.946228i
$675$	−1.12003	−	3.44710i	−0.0431100	−	0.132679i
$676$	6.33899	−	4.60555i	0.243807	−	0.177136i
$677$	3.75632	−	2.72913i	0.144367	−	0.104889i	−0.513257	−	0.858235i	$-0.671561\pi$
$677$	3.75632	−	2.72913i	0.144367	−	0.104889i	0.657625	+	0.753346i	$0.271561\pi$
$678$	10.9192	+	33.6058i	0.419349	+	1.29062i
$679$	−0.457292	+	1.40740i	−0.0175493	+	0.0540111i
$680$	−6.02629	−	4.37835i	−0.231098	−	0.167902i
$681$	−59.3064			−2.27263
$682$	0.466220	+	0.118310i	0.0178525	+	0.00453034i
$683$	−25.5818			−0.978859			−0.489430	−	0.872043i	$-0.662795\pi$
$683$	−25.5818			−0.978859			−0.489430	+	0.872043i	$0.662795\pi$
$684$	0.854363	+	0.620731i	0.0326674	+	0.0237342i
$685$	−1.48748	+	4.57798i	−0.0568335	+	0.174916i
$686$	−0.309017	−	0.951057i	−0.0117983	−	0.0363115i
$687$	−11.7760	+	8.55573i	−0.449281	+	0.326422i
$688$	9.51309	−	6.91166i	0.362683	−	0.263505i
$689$	0.676028	+	2.08060i	0.0257546	+	0.0792646i
$690$	−0.414475	+	1.27562i	−0.0157788	+	0.0485621i
$691$	−18.2344	−	13.2481i	−0.693671	−	0.503981i	0.184194	−	0.982890i	$-0.441033\pi$
$691$	−18.2344	−	13.2481i	−0.693671	−	0.503981i	−0.877865	+	0.478909i	$0.841033\pi$
$692$	−24.4230			−0.928421
$693$	−2.62980	−	3.16077i	−0.0998980	−	0.120068i
$694$	−6.20850			−0.235671
$695$	8.20603	+	5.96203i	0.311272	+	0.226153i
$696$	−1.50571	+	4.63410i	−0.0570738	+	0.175655i
$697$	−10.6854	−	32.8862i	−0.404738	−	1.24566i
$698$	−8.37744	+	6.08657i	−0.317091	+	0.230380i
$699$	−41.8266	+	30.3888i	−1.58203	+	1.14941i
$700$	0.309017	+	0.951057i	0.0116797	+	0.0359466i
$701$	10.7951	−	33.2238i	0.407724	−	1.25484i	−0.510876	−	0.859655i	$-0.670679\pi$
$701$	10.7951	−	33.2238i	0.407724	−	1.25484i	0.918599	−	0.395190i	$-0.129321\pi$
$702$	6.66381	+	4.84154i	0.251509	+	0.182732i
$703$	−1.98232			−0.0747645
$704$	−3.08028	+	1.22959i	−0.116092	+	0.0463418i
$705$	−10.8623			−0.409098
$706$	22.2316	+	16.1522i	0.836698	+	0.607896i
$707$	−4.31148	+	13.2694i	−0.162150	+	0.499046i
$708$	0.663622	+	2.04242i	0.0249404	+	0.0767588i
$709$	1.76548	−	1.28270i	0.0663040	−	0.0481727i	−0.554140	−	0.832424i	$-0.686953\pi$
$709$	1.76548	−	1.28270i	0.0663040	−	0.0481727i	0.620444	+	0.784251i	$0.286953\pi$
$710$	8.60669	−	6.25312i	0.323003	−	0.234676i
$711$	4.10175	+	12.6239i	0.153828	+	0.473433i
$712$	−1.15437	+	3.55279i	−0.0432619	+	0.133147i
$713$	0.0764277	+	0.0555279i	0.00286224	+	0.00207954i
$714$	15.3377			0.574001
$715$	−4.02078	+	6.37524i	−0.150369	+	0.238420i
$716$	5.80767			0.217043
$717$	−15.1452	−	11.0036i	−0.565609	−	0.410939i
$718$	−0.00949977	+	0.0292373i	−0.000354528	+	0.00109113i
$719$	7.14442	+	21.9882i	0.266442	+	0.820023i	0.991358	+	0.131186i	$0.0418785\pi$
$719$	7.14442	+	21.9882i	0.266442	+	0.820023i	−0.724916	+	0.688837i	$0.758121\pi$
$720$	−1.00297	+	0.728698i	−0.0373783	+	0.0271570i
$721$	1.13714	−	0.826181i	0.0423493	−	0.0307686i
$722$	5.64709	+	17.3800i	0.210163	+	0.646815i
$723$	7.53419	−	23.1878i	0.280199	−	0.862365i
$724$	10.4211	+	7.57136i	0.387297	+	0.281387i
$725$	2.36641			0.0878861
$726$	−19.9090	−	10.7999i	−0.738894	−	0.400822i
$727$	−48.6753			−1.80527			−0.902633	−	0.430410i	$-0.858369\pi$
$727$	−48.6753			−1.80527			−0.902633	+	0.430410i	$0.858369\pi$
$728$	−1.83855	−	1.33578i	−0.0681411	−	0.0495074i
$729$	2.63472	−	8.10884i	0.0975823	−	0.300327i
$730$	0.359240	+	1.10563i	0.0132961	+	0.0409211i
$731$	−70.8621	+	51.4843i	−2.62093	+	1.90422i
$732$	5.97836	−	4.34353i	0.220967	−	0.160542i
$733$	6.75777	+	20.7983i	0.249604	+	0.768201i	0.994845	+	0.101407i	$0.0323343\pi$
$733$	6.75777	+	20.7983i	0.249604	+	0.768201i	−0.745241	+	0.666795i	$0.767666\pi$
$734$	3.18068	−	9.78913i	0.117401	−	0.361323i
$735$	−1.66582	−	1.21029i	−0.0614445	−	0.0446421i
$736$	−0.651398			−0.0240109
$737$	−0.761373	+	1.20721i	−0.0280455	+	0.0444683i
$738$	−5.75499			−0.211844
$739$	0.144097	+	0.104692i	0.00530068	+	0.00385117i	0.590432	−	0.807087i	$-0.298957\pi$
$739$	0.144097	+	0.104692i	0.00530068	+	0.00385117i	−0.585132	+	0.810938i	$0.698957\pi$
$740$	0.719116	−	2.21321i	0.0264352	−	0.0813593i
$741$	1.23176	+	3.79096i	0.0452497	+	0.139264i
$742$	−0.778794	+	0.565827i	−0.0285904	+	0.0207722i
$743$	29.9848	−	21.7852i	1.10004	−	0.799222i	0.118969	−	0.992898i	$-0.462041\pi$
$743$	29.9848	−	21.7852i	1.10004	−	0.799222i	0.981066	+	0.193676i	$0.0620409\pi$
$744$	0.0922780	+	0.284002i	0.00338307	+	0.0104120i
$745$	0.582287	−	1.79210i	0.0213334	−	0.0656573i
$746$	−9.88166	−	7.17945i	−0.361793	−	0.262858i
$747$	1.34346			0.0491548
$748$	22.9447	−	9.15906i	0.838941	−	0.334889i
$749$	−18.9282			−0.691620
$750$	1.66582	+	1.21029i	0.0608270	+	0.0441934i
$751$	−8.16602	+	25.1324i	−0.297982	+	0.917095i	0.684221	+	0.729275i	$0.260142\pi$
$751$	−8.16602	+	25.1324i	−0.297982	+	0.917095i	−0.982203	+	0.187821i	$0.939858\pi$
$752$	−1.63018	−	5.01717i	−0.0594465	−	0.182957i
$753$	20.4603	−	14.8652i	0.745613	−	0.541720i
$754$	−4.35075	+	3.16101i	−0.158445	+	0.115117i
$755$	4.44445	+	13.6786i	0.161750	+	0.497816i
$756$	−1.12003	+	3.44710i	−0.0407351	+	0.125370i
$757$	−7.60920	−	5.52841i	−0.276561	−	0.200933i	0.440855	−	0.897578i	$-0.354675\pi$
$757$	−7.60920	−	5.52841i	−0.276561	−	0.200933i	−0.717416	+	0.696645i	$0.754675\pi$
$758$	−0.699608			−0.0254109
$759$	−2.84519	−	3.41964i	−0.103274	−	0.124125i
$760$	0.851836			0.0308993
$761$	18.3955	+	13.3651i	0.666835	+	0.484484i	0.868964	−	0.494875i	$-0.164786\pi$
$761$	18.3955	+	13.3651i	0.666835	+	0.484484i	−0.202129	+	0.979359i	$0.564786\pi$
$762$	−7.07471	+	21.7737i	−0.256290	+	0.788778i
$763$	−3.35045	−	10.3116i	−0.121295	−	0.373306i
$764$	4.57799	−	3.32610i	0.165626	−	0.120334i
$765$	7.47099	−	5.42800i	0.270114	−	0.196250i
$766$	11.5735	+	35.6196i	0.418168	+	1.28699i
$767$	−0.732434	+	2.25420i	−0.0264467	+	0.0813945i
$768$	−1.66582	−	1.21029i	−0.0601099	−	0.0436724i
$769$	13.3469			0.481300			0.240650	−	0.970612i	$-0.422639\pi$
$769$	13.3469			0.481300			0.240650	+	0.970612i	$0.422639\pi$
$770$	−3.21473	−	0.815786i	−0.115851	−	0.0293989i
$771$	−49.1726			−1.77091
$772$	−11.1546	−	8.10429i	−0.401463	−	0.291680i
$773$	−0.662276	+	2.03828i	−0.0238204	+	0.0733117i	−0.962260	−	0.272132i	$-0.912271\pi$
$773$	−0.662276	+	2.03828i	−0.0238204	+	0.0733117i	0.938440	+	0.345443i	$0.112271\pi$
$774$	4.50479	+	13.8643i	0.161922	+	0.498343i
$775$	0.117329	−	0.0852442i	0.00421457	−	0.00306206i
$776$	−1.19721	+	0.869822i	−0.0429772	+	0.0312248i
$777$	1.48071	+	4.55714i	0.0531200	+	0.163487i
$778$	2.67263	−	8.22550i	0.0958183	−	0.294898i
$779$	3.19911	+	2.32429i	0.114620	+	0.0832764i
$780$	−4.67936			−0.167548
$781$	2.31437	+	35.2078i	0.0828146	+	1.25983i
$782$	4.85220			0.173514
$783$	6.93896	+	5.04145i	0.247978	+	0.180167i
$784$	0.309017	−	0.951057i	0.0110363	−	0.0339663i
$785$	−3.91186	−	12.0395i	−0.139620	−	0.429706i
$786$	−18.1843	+	13.2117i	−0.648612	+	0.471245i
$787$	−32.1581	+	23.3643i	−1.14631	+	0.832846i	−0.987986	−	0.154541i	$-0.950610\pi$
$787$	−32.1581	+	23.3643i	−1.14631	+	0.832846i	−0.158327	+	0.987387i	$0.550610\pi$
$788$	0.873977	+	2.68982i	0.0311341	+	0.0958210i
$789$	−6.73838	+	20.7386i	−0.239893	+	0.738313i
$790$	8.66195	+	6.29328i	0.308179	+	0.223905i
$791$	−17.1609			−0.610170
$792$	−0.269701	−	4.10288i	−0.00958341	−	0.145789i
$793$	8.15591			0.289625
$794$	7.36654	+	5.35210i	0.261429	+	0.189939i
$795$	−0.612515	+	1.88513i	−0.0217237	+	0.0668586i
$796$	−0.158586	−	0.488076i	−0.00562092	−	0.0172994i
$797$	37.1259	−	26.9736i	1.31507	−	0.955453i	0.315089	−	0.949062i	$-0.397966\pi$
$797$	37.1259	−	26.9736i	1.31507	−	0.955453i	0.999980	−	0.00639062i	$-0.00203421\pi$
$798$	−1.41900	+	1.03097i	−0.0502321	+	0.0364958i
$799$	12.1430	+	37.3724i	0.429589	+	1.32214i
$800$	−0.309017	+	0.951057i	−0.0109254	+	0.0336249i
$801$	−3.74671	−	2.72214i	−0.132383	−	0.0961822i
$802$	−19.2528			−0.679838
$803$	−3.73720	−	0.948372i	−0.131883	−	0.0334673i
$804$	−0.886082			−0.0312497
$805$	−0.526992	−	0.382882i	−0.0185740	−	0.0134948i
$806$	−0.101846	+	0.313451i	−0.00358739	+	0.0110408i
$807$	10.5444	+	32.4525i	0.371182	+	1.14238i
$808$	−11.2876	+	8.20093i	−0.397097	+	0.288508i
$809$	−2.86605	+	2.08230i	−0.100765	+	0.0732099i	−0.637027	−	0.770842i	$-0.719836\pi$
$809$	−2.86605	+	2.08230i	−0.100765	+	0.0732099i	0.536262	+	0.844052i	$0.319836\pi$
$810$	3.45551	+	10.6350i	0.121414	+	0.373675i
$811$	9.60835	−	29.5715i	0.337395	−	1.03839i	−0.628136	−	0.778104i	$-0.716182\pi$
$811$	9.60835	−	29.5715i	0.337395	−	1.03839i	0.965530	−	0.260290i	$-0.0838183\pi$
$812$	−1.91446	−	1.39094i	−0.0671845	−	0.0488124i
$813$	−60.5866			−2.12487
$814$	4.93642	+	5.93310i	0.173021	+	0.207955i
$815$	−8.95282			−0.313604
$816$	12.4085	+	9.01530i	0.434384	+	0.315599i
$817$	3.09530	−	9.52634i	0.108291	−	0.333285i
$818$	−8.26974	−	25.4516i	−0.289145	−	0.889896i
$819$	2.27931	−	1.65602i	0.0796456	−	0.0578659i
$820$	−3.75555	+	2.72857i	−0.131149	+	0.0952857i
$821$	−3.71714	−	11.4402i	−0.129729	−	0.399265i	0.865004	−	0.501765i	$-0.167316\pi$
$821$	−3.71714	−	11.4402i	−0.129729	−	0.399265i	−0.994733	+	0.102500i	$0.967316\pi$
$822$	3.06280	−	9.42634i	0.106828	−	0.328781i
$823$	−7.11841	−	5.17182i	−0.248132	−	0.180278i	0.456767	−	0.889587i	$-0.349007\pi$
$823$	−7.11841	−	5.17182i	−0.248132	−	0.180278i	−0.704899	+	0.709308i	$0.749007\pi$
$824$	1.40558			0.0489658
$825$	−6.34248	+	2.53179i	−0.220817	+	0.0881457i
$826$	−1.04296			−0.0362893
$827$	22.4825	+	16.3345i	0.781793	+	0.568006i	0.905517	−	0.424311i	$-0.139484\pi$
$827$	22.4825	+	16.3345i	0.781793	+	0.568006i	−0.123724	+	0.992317i	$0.539484\pi$
$828$	0.249550	−	0.768036i	0.00867246	−	0.0266911i
$829$	−4.27702	−	13.1633i	−0.148547	−	0.457180i	0.848903	−	0.528548i	$-0.177263\pi$
$829$	−4.27702	−	13.1633i	−0.148547	−	0.457180i	−0.997450	+	0.0713681i	$0.977263\pi$
$830$	0.876708	−	0.636966i	0.0304310	−	0.0221094i
$831$	−49.4636	+	35.9374i	−1.71587	+	1.24665i
$832$	−0.702263	−	2.16134i	−0.0243466	−	0.0749311i
$833$	−2.30184	+	7.08432i	−0.0797539	+	0.245457i
$834$	−16.8967	−	12.2762i	−0.585085	−	0.425089i
$835$	6.36465			0.220258
$836$	−1.50712	+	2.38965i	−0.0521250	+	0.0826479i
$837$	0.525647			0.0181690
$838$	−19.7753	−	14.3676i	−0.683127	−	0.496321i
$839$	10.6161	−	32.6729i	0.366507	−	1.12799i	−0.582524	−	0.812813i	$-0.697935\pi$
$839$	10.6161	−	32.6729i	0.366507	−	1.12799i	0.949032	−	0.315181i	$-0.102065\pi$
$840$	−0.636285	−	1.95828i	−0.0219539	−	0.0675672i
$841$	18.9311	−	13.7542i	0.652796	−	0.474284i
$842$	−6.35403	+	4.61648i	−0.218974	+	0.159094i
$843$	−15.1484	−	46.6220i	−0.521739	−	1.60575i
$844$	−6.30844	+	19.4154i	−0.217146	+	0.668305i
$845$	6.33899	+	4.60555i	0.218068	+	0.158436i
$846$	6.54005			0.224852
$847$	7.97624	−	7.57494i	0.274067	−	0.260278i
$848$	−0.962643			−0.0330573
$849$	29.1578	+	21.1844i	1.00069	+	0.727046i
$850$	2.30184	−	7.08432i	0.0789523	−	0.242990i
$851$	0.468431	+	1.44168i	0.0160576	+	0.0494203i
$852$	−17.7217	+	12.8756i	−0.607135	+	0.441110i
$853$	32.4377	−	23.5674i	1.11065	−	0.806931i	0.127880	−	0.991790i	$-0.459183\pi$
$853$	32.4377	−	23.5674i	1.11065	−	0.806931i	0.982765	+	0.184859i	$0.0591828\pi$
$854$	1.10902	+	3.41320i	0.0379497	+	0.116797i
$855$	−0.326338	+	1.00436i	−0.0111605	+	0.0343485i
$856$	−15.3132	−	11.1257i	−0.523395	−	0.380268i
$857$	26.0287			0.889123			0.444562	−	0.895748i	$-0.353359\pi$
$857$	26.0287			0.889123			0.444562	+	0.895748i	$0.353359\pi$
$858$	8.27903	−	13.1270i	0.282641	−	0.448149i
$859$	29.9861			1.02311			0.511556	−	0.859250i	$-0.329069\pi$
$859$	29.9861			1.02311			0.511556	+	0.859250i	$0.329069\pi$
$860$	9.51309	+	6.91166i	0.324394	+	0.235686i
$861$	2.95371	−	9.09058i	0.100662	−	0.309806i
$862$	7.35985	+	22.6513i	0.250678	+	0.771506i
$863$	−22.7584	+	16.5350i	−0.774707	+	0.562857i	−0.903386	−	0.428829i	$-0.858926\pi$
$863$	−22.7584	+	16.5350i	−0.774707	+	0.562857i	0.128679	+	0.991686i	$0.458926\pi$
$864$	−2.93228	+	2.13042i	−0.0997581	+	0.0724785i
$865$	−7.54711	−	23.2276i	−0.256609	−	0.789762i
$866$	−4.77092	+	14.6834i	−0.162123	+	0.498962i
$867$	−64.1108	−	46.5792i	−2.17732	−	1.58191i
$868$	−0.145026			−0.00492251
$869$	−32.9798	+	13.1649i	−1.11876	+	0.446588i
$870$	−4.87258			−0.165196
$871$	−0.791188	−	0.574832i	−0.0268084	−	0.0194774i
$872$	3.35045	−	10.3116i	0.113461	−	0.349196i
$873$	−0.566921	−	1.74480i	−0.0191874	−	0.0590527i
$874$	−0.448911	+	0.326153i	−0.0151846	+	0.0110323i
$875$	−0.809017	+	0.587785i	−0.0273498	+	0.0198708i
$876$	−0.739697	−	2.27655i	−0.0249921	−	0.0769176i
$877$	−4.91774	+	15.1353i	−0.166060	+	0.511081i	−0.999113	−	0.0421126i	$-0.986591\pi$
$877$	−4.91774	+	15.1353i	−0.166060	+	0.511081i	0.833052	+	0.553194i	$0.186591\pi$
$878$	23.5118	+	17.0823i	0.793484	+	0.576500i
$879$	47.6002			1.60551
$880$	−2.12126	−	2.54956i	−0.0715078	−	0.0859455i
$881$	42.3031			1.42523			0.712614	−	0.701556i	$-0.247511\pi$
$881$	42.3031			1.42523			0.712614	+	0.701556i	$0.247511\pi$
$882$	1.00297	+	0.728698i	0.0337716	+	0.0245365i
$883$	−11.9183	+	36.6808i	−0.401084	+	1.23441i	0.523038	+	0.852309i	$0.324799\pi$
$883$	−11.9183	+	36.6808i	−0.401084	+	1.23441i	−0.924121	+	0.382099i	$0.875201\pi$
$884$	5.23108	+	16.0996i	0.175940	+	0.541489i
$885$	−1.73738	+	1.26228i	−0.0584015	+	0.0424312i
$886$	28.0830	−	20.4035i	0.943468	−	0.685470i
$887$	3.55286	+	10.9346i	0.119293	+	0.367147i	0.992818	−	0.119632i	$-0.0381716\pi$
$887$	3.55286	+	10.9346i	0.119293	+	0.367147i	−0.873525	+	0.486779i	$0.838172\pi$
$888$	−1.48071	+	4.55714i	−0.0496892	+	0.152928i
$889$	−8.99528	−	6.53545i	−0.301692	−	0.219192i
$890$	−3.73563			−0.125219
$891$	−35.9480	−	9.12234i	−1.20430	−	0.305610i
$892$	15.3296			0.513272
$893$	−3.63552	−	2.64136i	−0.121658	−	0.0883896i
$894$	−1.19897	+	3.69004i	−0.0400994	+	0.123413i
$895$	1.79467	+	5.52343i	0.0599892	+	0.184628i
$896$	0.809017	−	0.587785i	0.0270274	−	0.0196365i
$897$	2.46599	−	1.79164i	0.0823369	−	0.0598213i
$898$	9.49484	+	29.2221i	0.316847	+	0.975154i
$899$	−0.106052	+	0.326394i	−0.00353703	+	0.0108858i
$900$	−1.00297	−	0.728698i	−0.0334322	−	0.0242899i
$901$	7.17063			0.238888
$902$	−1.00988	−	15.3630i	−0.0336253	−	0.511532i
$903$	−24.2121			−0.805730
$904$	−13.8834	−	10.0869i	−0.461756	−	0.335485i
$905$	−3.98050	+	12.2507i	−0.132316	+	0.407228i
$906$	−9.15140	−	28.1651i	−0.304035	−	0.935724i
$907$	−29.0871	+	21.1330i	−0.965822	+	0.701711i	−0.954496	−	0.298225i	$-0.903605\pi$
$907$	−29.0871	+	21.1330i	−0.965822	+	0.701711i	−0.0113263	+	0.999936i	$0.503605\pi$
$908$	23.3018	−	16.9298i	0.773299	−	0.561834i
$909$	−5.34509	−	16.4505i	−0.177286	−	0.545629i
$910$	0.702263	−	2.16134i	0.0232798	−	0.0716478i
$911$	−10.7706	−	7.82531i	−0.356846	−	0.259264i	0.394889	−	0.918729i	$-0.370783\pi$
$911$	−10.7706	−	7.82531i	−0.356846	−	0.259264i	−0.751735	+	0.659465i	$0.770783\pi$
$912$	−1.75398			−0.0580802
$913$	0.235750	+	3.58639i	0.00780218	+	0.118692i
$914$	−20.4932			−0.677856
$915$	5.97836	+	4.34353i	0.197638	+	0.143593i
$916$	2.18450	−	6.72319i	0.0721778	−	0.222141i
$917$	−3.37328	−	10.3819i	−0.111395	−	0.342840i
$918$	21.8422	−	15.8693i	0.720901	−	0.523766i
$919$	−46.6357	+	33.8828i	−1.53837	+	1.11769i	−0.587021	+	0.809572i	$0.699699\pi$
$919$	−46.6357	+	33.8828i	−1.53837	+	1.11769i	−0.951348	+	0.308119i	$0.900301\pi$
$920$	−0.201293	−	0.619516i	−0.00663644	−	0.0204249i
$921$	−10.9398	+	33.6693i	−0.360479	+	1.10944i
$922$	14.2087	+	10.3232i	0.467939	+	0.339978i
$923$	−24.1766			−0.795783
$924$	6.61933	+	1.67975i	0.217760	+	0.0552599i
$925$	2.32711			0.0765149
$926$	11.0318	+	8.01508i	0.362528	+	0.263392i
$927$	−0.538477	+	1.65726i	−0.0176859	+	0.0544317i
$928$	−0.731260	−	2.25059i	−0.0240048	−	0.0738791i
$929$	−0.444185	+	0.322719i	−0.0145732	+	0.0105881i	−0.595048	−	0.803690i	$-0.702867\pi$
$929$	−0.444185	+	0.322719i	−0.0145732	+	0.0105881i	0.580475	+	0.814278i	$0.302867\pi$
$930$	−0.241587	+	0.175523i	−0.00792195	+	0.00575563i
$931$	−0.263232	−	0.810144i	−0.00862707	−	0.0265514i
$932$	7.75905	−	23.8799i	0.254156	−	0.782212i
$933$	23.2724	+	16.9084i	0.761905	+	0.553557i
$934$	30.7210			1.00522
$935$	15.8011	+	18.9914i	0.516751	+	0.621085i
$936$	2.81738			0.0920891
$937$	−45.9377	−	33.3757i	−1.50072	−	1.09034i	−0.970094	−	0.242730i	$-0.921957\pi$
$937$	−45.9377	−	33.3757i	−1.50072	−	1.09034i	−0.530625	−	0.847607i	$-0.678043\pi$
$938$	0.132980	−	0.409271i	0.00434196	−	0.0133632i
$939$	6.66784	+	20.5215i	0.217597	+	0.669694i
$940$	4.26786	−	3.10078i	0.139202	−	0.101136i
$941$	23.6964	−	17.2165i	0.772482	−	0.561241i	−0.130231	−	0.991484i	$-0.541572\pi$
$941$	23.6964	−	17.2165i	0.772482	−	0.561241i	0.902713	+	0.430243i	$0.141572\pi$
$942$	8.05475	+	24.7900i	0.262438	+	0.807701i
$943$	0.934426	−	2.87587i	0.0304291	−	0.0936511i
$944$	−0.843775	−	0.613038i	−0.0274625	−	0.0199527i
$945$	−3.62450			−0.117905
$946$	−36.2205	+	14.4585i	−1.17763	+	0.470086i
$947$	24.8536			0.807632			0.403816	−	0.914840i	$-0.367684\pi$
$947$	24.8536			0.807632			0.403816	+	0.914840i	$0.367684\pi$
$948$	−17.8355	−	12.9582i	−0.579270	−	0.420864i
$949$	0.816398	−	2.51261i	0.0265014	−	0.0815629i
$950$	0.263232	+	0.810144i	0.00854037	+	0.0262845i
$951$	53.7652	−	39.0627i	1.74346	−	1.26670i
$952$	−6.02629	+	4.37835i	−0.195313	+	0.141903i
$953$	−13.5503	−	41.7035i	−0.438937	−	1.35091i	−0.888998	−	0.457910i	$-0.848598\pi$
$953$	−13.5503	−	41.7035i	−0.438937	−	1.35091i	0.450062	−	0.892997i	$-0.351402\pi$
$954$	0.368787	−	1.13501i	0.0119399	−	0.0367473i
$955$	4.57799	+	3.32610i	0.148140	+	0.107630i
$956$	9.09178			0.294049
$957$	8.62088	−	13.6690i	0.278673	−	0.441857i
$958$	−34.6829			−1.12056
$959$	3.89426	+	2.82935i	0.125752	+	0.0913644i
$960$	0.636285	−	1.95828i	0.0205360	−	0.0632033i
$961$	−9.57303	−	29.4627i	−0.308807	−	0.950411i
$962$	−4.27850	+	3.10851i	−0.137944	+	0.100223i
$963$	18.9843	−	13.7929i	0.611761	−	0.444470i
$964$	3.65904	+	11.2614i	0.117850	+	0.362704i
$965$	4.26068	−	13.1130i	0.137156	−	0.422123i
$966$	1.08511	+	0.788378i	0.0349128	+	0.0253656i
$967$	40.0914			1.28925			0.644627	−	0.764497i	$-0.277013\pi$
$967$	40.0914			1.28925			0.644627	+	0.764497i	$0.277013\pi$
$968$	10.9053	−	1.43994i	0.350511	−	0.0462814i
$969$	13.0652			0.419716
$970$	−1.19721	−	0.869822i	−0.0384400	−	0.0279283i
$971$	−16.0394	+	49.3643i	−0.514730	+	1.58418i	0.269043	+	0.963128i	$0.413292\pi$
$971$	−16.0394	+	49.3643i	−0.514730	+	1.58418i	−0.783773	+	0.621047i	$0.786708\pi$
$972$	−3.75501	−	11.5567i	−0.120442	−	0.370683i
$973$	8.20603	−	5.96203i	0.263073	−	0.191134i
$974$	28.7404	−	20.8811i	0.920903	−	0.669075i
$975$	−1.44600	−	4.45034i	−0.0463091	−	0.142525i
$976$	−1.10902	+	3.41320i	−0.0354987	+	0.109254i
$977$	13.2233	+	9.60726i	0.423049	+	0.307363i	0.778864	−	0.627193i	$-0.215796\pi$
$977$	13.2233	+	9.60726i	0.423049	+	0.307363i	−0.355814	+	0.934557i	$0.615796\pi$
$978$	18.4344			0.589467
$979$	6.60932	−	10.4796i	0.211235	−	0.334928i
$980$	1.00000			0.0319438
$981$	10.8745	+	7.90075i	0.347195	+	0.252252i
$982$	−8.05325	+	24.7854i	−0.256990	+	0.790932i
$983$	−12.1963	−	37.5365i	−0.389003	−	1.19723i	−0.933534	−	0.358488i	$-0.883292\pi$
$983$	−12.1963	−	37.5365i	−0.389003	−	1.19723i	0.544531	−	0.838740i	$-0.316708\pi$
$984$	7.73291	−	5.61829i	0.246516	−	0.179104i
$985$	−2.28810	+	1.66240i	−0.0729050	+	0.0529686i
$986$	5.44708	+	16.7644i	0.173470	+	0.533887i
$987$	−3.35664	+	10.3307i	−0.106843	+	0.328829i
$988$	−1.56614	−	1.13787i	−0.0498256	−	0.0362004i
$989$	−7.65968			−0.243564
$990$	3.81873	−	1.52436i	0.121367	−	0.0484474i
$991$	20.8327			0.661771			0.330886	−	0.943671i	$-0.392653\pi$
$991$	20.8327			0.661771			0.330886	+	0.943671i	$0.392653\pi$
$992$	−0.117329	−	0.0852442i	−0.00372519	−	0.00270651i
$993$	17.2608	−	53.1234i	0.547756	−	1.68582i
$994$	−3.28746	−	10.1178i	−0.104272	−	0.320916i
$995$	0.415182	−	0.301648i	0.0131622	−	0.00956287i
$996$	−1.80520	+	1.31155i	−0.0571998	+	0.0415581i
$997$	0.380221	+	1.17020i	0.0120417	+	0.0370606i	0.956897	−	0.290428i	$-0.0937977\pi$
$997$	0.380221	+	1.17020i	0.0120417	+	0.0370606i	−0.944855	+	0.327489i	$0.893798\pi$
$998$	−4.22071	+	12.9900i	−0.133604	+	0.411192i
$999$	6.82373	+	4.95773i	0.215893	+	0.156856i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	770.2.n.j.631.3	yes	12
11.3	even	5	inner	770.2.n.j.421.3	✓	12
11.5	even	5		8470.2.a.cw.1.5		6
11.6	odd	10		8470.2.a.dc.1.5		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
770.2.n.j.421.3	✓	12	11.3	even	5	inner
770.2.n.j.631.3	yes	12	1.1	even	1	trivial
8470.2.a.cw.1.5		6	11.5	even	5
8470.2.a.dc.1.5		6	11.6	odd	10

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:	\( N \)	\(=\)	\( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	770.n (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(0.636285 - 1.95828i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(1.66582 - 1.21029i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.00297 - 0.728698i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(0.636285 - 1.95828i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(1.66582 - 1.21029i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.00297 - 0.728698i) q^{9} -1.00000 q^{10} +(1.76927 - 2.80530i) q^{11} +2.05906 q^{12} +(1.83855 + 1.33578i) q^{13} +(-0.309017 + 0.951057i) q^{14} +(0.636285 + 1.95828i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(6.02629 - 4.37835i) q^{17} +(-0.383099 - 1.17906i) q^{18} +(-0.263232 + 0.810144i) q^{19} +(-0.809017 - 0.587785i) q^{20} +2.05906 q^{21} +(3.08028 - 1.22959i) q^{22} +0.651398 q^{23} +(1.66582 + 1.21029i) q^{24} +(0.309017 - 0.951057i) q^{25} +(0.702263 + 2.16134i) q^{26} +(2.93228 - 2.13042i) q^{27} +(-0.809017 + 0.587785i) q^{28} +(0.731260 + 2.25059i) q^{29} +(-0.636285 + 1.95828i) q^{30} +(0.117329 + 0.0852442i) q^{31} -1.00000 q^{32} +(-4.36781 - 5.24969i) q^{33} +7.44890 q^{34} +(-0.809017 - 0.587785i) q^{35} +(0.383099 - 1.17906i) q^{36} +(0.719116 + 2.21321i) q^{37} +(-0.689150 + 0.500697i) q^{38} +(3.78568 - 2.75046i) q^{39} +(-0.309017 - 0.951057i) q^{40} +(1.43449 - 4.41491i) q^{41} +(1.66582 + 1.21029i) q^{42} -11.7588 q^{43} +(3.21473 + 0.815786i) q^{44} +1.23973 q^{45} +(0.526992 + 0.382882i) q^{46} +(-1.63018 + 5.01717i) q^{47} +(0.636285 + 1.95828i) q^{48} +(-0.809017 + 0.587785i) q^{49} +(0.809017 - 0.587785i) q^{50} +(-4.73962 - 14.5871i) q^{51} +(-0.702263 + 2.16134i) q^{52} +(0.778794 + 0.565827i) q^{53} +3.62450 q^{54} +(0.217548 + 3.30948i) q^{55} -1.00000 q^{56} +(1.41900 + 1.03097i) q^{57} +(-0.731260 + 2.25059i) q^{58} +(0.322293 + 0.991917i) q^{59} +(-1.66582 + 1.21029i) q^{60} +(2.90344 - 2.10947i) q^{61} +(0.0448155 + 0.137928i) q^{62} +(0.383099 - 1.17906i) q^{63} +(-0.809017 - 0.587785i) q^{64} -2.27257 q^{65} +(-0.447944 - 6.81443i) q^{66} -0.430333 q^{67} +(6.02629 + 4.37835i) q^{68} +(0.414475 - 1.27562i) q^{69} +(-0.309017 - 0.951057i) q^{70} +(-8.60669 + 6.25312i) q^{71} +(1.00297 - 0.728698i) q^{72} +(-0.359240 - 1.10563i) q^{73} +(-0.719116 + 2.21321i) q^{74} +(-1.66582 - 1.21029i) q^{75} -0.851836 q^{76} +(3.21473 + 0.815786i) q^{77} +4.67936 q^{78} +(-8.66195 - 6.29328i) q^{79} +(0.309017 - 0.951057i) q^{80} +(-3.45551 - 10.6350i) q^{81} +(3.75555 - 2.72857i) q^{82} +(-0.876708 + 0.636966i) q^{83} +(0.636285 + 1.95828i) q^{84} +(-2.30184 + 7.08432i) q^{85} +(-9.51309 - 6.91166i) q^{86} +4.87258 q^{87} +(2.12126 + 2.54956i) q^{88} +3.73563 q^{89} +(1.00297 + 0.728698i) q^{90} +(-0.702263 + 2.16134i) q^{91} +(0.201293 + 0.619516i) q^{92} +(0.241587 - 0.175523i) q^{93} +(-4.26786 + 3.10078i) q^{94} +(-0.263232 - 0.810144i) q^{95} +(-0.636285 + 1.95828i) q^{96} +(1.19721 + 0.869822i) q^{97} -1.00000 q^{98} +(-3.81873 + 1.52436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} - 3 q^{7} + 3 q^{8} + 6 q^{9}+O(q^{10}) \) 12 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 - 3 * q^7 + 3 * q^8 + 6 * q^9	\( 12 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} - 3 q^{7} + 3 q^{8} + 6 q^{9} - 12 q^{10} - q^{11} - 2 q^{12} + 2 q^{13} + 3 q^{14} + 3 q^{15} - 3 q^{16} + 7 q^{17} + 9 q^{18} + 6 q^{19} - 3 q^{20} - 2 q^{21} + q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 7 q^{26} - 3 q^{27} - 3 q^{28} + 20 q^{29} - 3 q^{30} + 6 q^{31} - 12 q^{32} - 12 q^{33} + 18 q^{34} - 3 q^{35} - 9 q^{36} + 22 q^{37} - 6 q^{38} + 23 q^{39} + 3 q^{40} + 2 q^{41} + 2 q^{42} - 60 q^{43} - 11 q^{44} + 6 q^{45} + 2 q^{46} - 4 q^{47} + 3 q^{48} - 3 q^{49} + 3 q^{50} + 13 q^{51} + 7 q^{52} + 18 q^{53} + 8 q^{54} + 14 q^{55} - 12 q^{56} + 8 q^{57} - 20 q^{58} - 32 q^{59} - 2 q^{60} + 8 q^{61} + 14 q^{62} - 9 q^{63} - 3 q^{64} - 18 q^{65} - 8 q^{66} + 36 q^{67} + 7 q^{68} + 50 q^{69} + 3 q^{70} - 34 q^{71} - 6 q^{72} + 14 q^{73} - 22 q^{74} - 2 q^{75} - 24 q^{76} - 11 q^{77} - 38 q^{78} - 12 q^{79} - 3 q^{80} + 4 q^{81} - 2 q^{82} + 30 q^{83} + 3 q^{84} + 2 q^{85} - 28 q^{87} + q^{88} - 36 q^{89} - 6 q^{90} + 7 q^{91} - 2 q^{92} + 12 q^{93} - 11 q^{94} + 6 q^{95} - 3 q^{96} + 39 q^{97} - 12 q^{98} - 15 q^{99}+O(q^{100}) \) 12 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 - 3 * q^7 + 3 * q^8 + 6 * q^9 - 12 * q^10 - q^11 - 2 * q^12 + 2 * q^13 + 3 * q^14 + 3 * q^15 - 3 * q^16 + 7 * q^17 + 9 * q^18 + 6 * q^19 - 3 * q^20 - 2 * q^21 + q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 7 * q^26 - 3 * q^27 - 3 * q^28 + 20 * q^29 - 3 * q^30 + 6 * q^31 - 12 * q^32 - 12 * q^33 + 18 * q^34 - 3 * q^35 - 9 * q^36 + 22 * q^37 - 6 * q^38 + 23 * q^39 + 3 * q^40 + 2 * q^41 + 2 * q^42 - 60 * q^43 - 11 * q^44 + 6 * q^45 + 2 * q^46 - 4 * q^47 + 3 * q^48 - 3 * q^49 + 3 * q^50 + 13 * q^51 + 7 * q^52 + 18 * q^53 + 8 * q^54 + 14 * q^55 - 12 * q^56 + 8 * q^57 - 20 * q^58 - 32 * q^59 - 2 * q^60 + 8 * q^61 + 14 * q^62 - 9 * q^63 - 3 * q^64 - 18 * q^65 - 8 * q^66 + 36 * q^67 + 7 * q^68 + 50 * q^69 + 3 * q^70 - 34 * q^71 - 6 * q^72 + 14 * q^73 - 22 * q^74 - 2 * q^75 - 24 * q^76 - 11 * q^77 - 38 * q^78 - 12 * q^79 - 3 * q^80 + 4 * q^81 - 2 * q^82 + 30 * q^83 + 3 * q^84 + 2 * q^85 - 28 * q^87 + q^88 - 36 * q^89 - 6 * q^90 + 7 * q^91 - 2 * q^92 + 12 * q^93 - 11 * q^94 + 6 * q^95 - 3 * q^96 + 39 * q^97 - 12 * q^98 - 15 * q^99

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