LMFDB - Embedded newform 770.2.n.j.421.3

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			421.3
Root			$1.66582 - 1.21029i$ of defining polynomial
Character	$\chi$	$=$	770.421
Dual form			770.2.n.j.631.3

$q$-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 $\left(\mathbb{Z}/770\mathbb{Z}\right)^\times$.

$n$	$211$	$617$	$661$
$\chi(n)$	$e\left(\frac{4}{5}\right)$	$1$	$1$

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	0.948490	+	0.316806i	$0.102610\pi$
$3$	0.636285	+	1.95828i	0.367359	+	1.13062i	−0.581131	+	0.813810i	$0.697390\pi$
$4$	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	−0.302872	−	0.953031i	$-0.597946\pi$
$13$	1.83855	−	1.33578i	0.509921	−	0.370480i	0.812794	+	0.582552i	$0.197946\pi$
$14$	−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	0.982945	+	0.183897i	$0.0588714\pi$
$17$	6.02629	+	4.37835i	1.46159	+	1.06191i	0.478644	+	0.878009i	$0.341129\pi$
$18$	−0.383099	+	1.17906i	−0.0902973	+	0.277907i
$19$	−0.263232	−	0.810144i	−0.0603895	−	0.185860i	0.916311	−	0.400468i	$-0.131152\pi$
$19$	−0.263232	−	0.810144i	−0.0603895	−	0.185860i	−0.976700	+	0.214608i	$0.931152\pi$
$20$	−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	−0.859921	−	0.510428i	$-0.829487\pi$
$29$	0.731260	−	2.25059i	0.135792	−	0.417923i	0.995712	+	0.0925042i	$0.0294871\pi$
$30$	−0.636285	−	1.95828i	−0.116169	−	0.357532i
$31$	0.117329	−	0.0852442i	0.0210728	−	0.0153103i	−0.577199	−	0.816604i	$-0.695854\pi$
$31$	0.117329	−	0.0852442i	0.0210728	−	0.0153103i	0.598272	+	0.801293i	$0.295854\pi$
$32$	−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	−0.874383	−	0.485236i	$-0.838734\pi$
$37$	0.719116	−	2.21321i	0.118222	−	0.363850i	0.992605	+	0.121386i	$0.0387338\pi$
$38$	−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	0.998389	+	0.0567466i	$0.0180727\pi$
$41$	1.43449	+	4.41491i	0.224030	+	0.689494i	−0.774359	+	0.632747i	$0.781927\pi$
$42$	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	−0.996740	−	0.0806850i	$-0.974289\pi$
$47$	−1.63018	−	5.01717i	−0.237786	−	0.731829i	0.758954	−	0.651144i	$-0.225711\pi$
$48$	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	−0.533011	−	0.846108i	$-0.678940\pi$
$53$	0.778794	−	0.565827i	0.106976	−	0.0777223i	0.639987	+	0.768386i	$0.278940\pi$
$54$	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	−0.927883	−	0.372872i	$-0.878373\pi$
$59$	0.322293	−	0.991917i	0.0419590	−	0.129137i	0.969842	+	0.243736i	$0.0783730\pi$
$60$	−1.66582	−	1.21029i	−0.215056	−	0.156247i
$61$	2.90344	+	2.10947i	0.371747	+	0.270090i	0.757935	−	0.652330i	$-0.226208\pi$
$61$	2.90344	+	2.10947i	0.371747	+	0.270090i	−0.386188	+	0.922420i	$0.626208\pi$
$62$	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	−0.0548510	−	0.998495i	$-0.517468\pi$
$71$	−8.60669	−	6.25312i	−1.02143	−	0.742109i	−0.966575	+	0.256385i	$0.917468\pi$
$72$	1.00297	+	0.728698i	0.118201	+	0.0858778i
$73$	−0.359240	+	1.10563i	−0.0420459	+	0.129404i	−0.969876	−	0.243599i	$-0.921672\pi$
$73$	−0.359240	+	1.10563i	−0.0420459	+	0.129404i	0.927830	+	0.373003i	$0.121672\pi$
$74$	−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	−0.956483	−	0.291788i	$-0.905750\pi$
$79$	−8.66195	+	6.29328i	−0.974546	+	0.708049i	−0.0180630	+	0.999837i	$0.505750\pi$
$80$	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	0.538629	−	0.842543i	$-0.318942\pi$
$83$	−0.876708	−	0.636966i	−0.0962312	−	0.0699161i	−0.634860	+	0.772627i	$0.718942\pi$
$84$	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	−0.525345	−	0.850889i	$-0.676064\pi$
$97$	1.19721	−	0.869822i	0.121558	−	0.0883170i	0.646903	+	0.762572i	$0.276064\pi$
$98$	−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	0.138474	−	0.990366i	$-0.455780\pi$
$101$	11.2876	−	8.20093i	1.12316	−	0.816023i	0.984685	+	0.174343i	$0.0557802\pi$
$102$	4.73962	+	14.5871i	0.469293	+	1.44433i
$103$	−0.434349	+	1.33679i	−0.0427977	+	0.131718i	−0.970172	−	0.242416i	$-0.922060\pi$
$103$	−0.434349	+	1.33679i	−0.0427977	+	0.131718i	0.927375	+	0.374134i	$0.122060\pi$
$104$	−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	−0.666592	−	0.745423i	$-0.732248\pi$
$107$	−5.84913	−	18.0018i	−0.565456	−	1.74030i	0.101136	−	0.994873i	$-0.467752\pi$
$108$	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	−0.810847	−	0.585258i	$-0.800993\pi$
$113$	−5.30300	−	16.3209i	−0.498864	−	1.53535i	0.311983	−	0.950088i	$-0.399007\pi$
$114$	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	0.112184	−	0.993687i	$-0.464215\pi$
$127$	−8.99528	−	6.53545i	−0.798202	−	0.579927i	−0.910386	+	0.413760i	$0.864215\pi$
$128$	−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	0.741579	−	0.670865i	$-0.234077\pi$
$137$	3.89426	+	2.82935i	0.332709	+	0.241727i	−0.408870	+	0.912593i	$0.634077\pi$
$138$	1.08511	+	0.788378i	0.0923706	+	0.0671112i
$139$	−3.13442	+	9.64676i	−0.265858	+	0.818228i	0.725636	+	0.688079i	$0.241546\pi$
$139$	−3.13442	+	9.64676i	−0.265858	+	0.818228i	−0.991494	+	0.130149i	$0.958454\pi$
$140$	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	0.523588	−	0.851972i	$-0.324593\pi$
$149$	−1.52445	−	1.10758i	−0.124888	−	0.0907362i	−0.648476	+	0.761235i	$0.724593\pi$
$150$	−0.636285	+	1.95828i	−0.0519525	+	0.159893i
$151$	4.44445	+	13.6786i	0.361684	+	1.11315i	0.952031	+	0.306001i	$0.0989910\pi$
$151$	4.44445	+	13.6786i	0.361684	+	1.11315i	−0.590347	+	0.807150i	$0.701009\pi$
$152$	−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	−0.976892	−	0.213735i	$-0.931437\pi$
$157$	−3.91186	−	12.0395i	−0.312200	−	0.960853i	0.664692	−	0.747118i	$-0.268563\pi$
$158$	−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	−0.266814	−	0.963748i	$-0.585971\pi$
$163$	7.24298	−	5.26234i	0.567314	−	0.412178i	0.834129	+	0.551570i	$0.185971\pi$
$164$	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	−0.768909	−	0.639358i	$-0.779200\pi$
$167$	−5.14911	+	3.74104i	−0.398450	+	0.289491i	0.370459	+	0.928849i	$0.379200\pi$
$168$	−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	−0.640243	−	0.768173i	$-0.721166\pi$
$173$	−7.54711	−	23.2276i	−0.573796	−	1.76596i	0.0664468	−	0.997790i	$-0.478834\pi$
$174$	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	0.995455	−	0.0952305i	$-0.0303588\pi$
$179$	1.79467	+	5.52343i	0.134140	+	0.412840i	−0.861315	+	0.508071i	$0.830359\pi$
$180$	0.383099	−	1.17906i	0.0285545	−	0.0878818i
$181$	10.4211	+	7.57136i	0.774593	+	0.562775i	0.903351	−	0.428901i	$-0.141099\pi$
$181$	10.4211	+	7.57136i	0.774593	+	0.562775i	−0.128758	+	0.991676i	$0.541099\pi$
$182$	−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	−0.994176	−	0.107767i	$-0.965630\pi$
$191$	−1.74864	+	5.38175i	−0.126527	+	0.389410i	0.867649	+	0.497177i	$0.165630\pi$
$192$	−1.66582	−	1.21029i	−0.120220	−	0.0873449i
$193$	−11.1546	−	8.10429i	−0.802925	−	0.583359i	0.108845	−	0.994059i	$-0.465285\pi$
$193$	−11.1546	−	8.10429i	−0.802925	−	0.583359i	−0.911771	+	0.410699i	$0.865285\pi$
$194$	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	0.150292	−	0.988642i	$-0.451979\pi$
$211$	16.5157	−	11.9994i	1.13699	−	0.826071i	0.986697	+	0.162571i	$0.0519785\pi$
$212$	−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	0.974831	+	0.222945i	$0.0715669\pi$
$223$	4.73710	+	14.5793i	0.317220	+	0.976302i	−0.657611	+	0.753357i	$0.728433\pi$
$224$	−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	−0.0159001	+	0.999874i	$0.505061\pi$
$227$	−8.90051	+	27.3930i	−0.590748	+	1.81813i	−0.574847	+	0.818261i	$0.694939\pi$
$228$	−0.542010	−	1.66814i	−0.0358955	−	0.110475i
$229$	−5.71909	+	4.15516i	−0.377928	+	0.274581i	−0.760491	−	0.649349i	$-0.775042\pi$
$229$	−5.71909	+	4.15516i	−0.377928	+	0.274581i	0.382563	+	0.923930i	$0.375042\pi$
$230$	−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	−0.331049	+	0.943614i	$0.607402\pi$
$233$	−20.3134	+	14.7586i	−1.33078	+	0.966867i	−0.999730	+	0.0232532i	$0.992598\pi$
$234$	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	0.999877	−	0.0156982i	$-0.00499710\pi$
$239$	2.80951	+	8.64679i	0.181732	+	0.559314i	−0.818144	+	0.575013i	$0.804997\pi$
$240$	−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	−0.228230	−	0.973607i	$-0.573294\pi$
$251$	9.93669	−	7.21943i	0.627198	−	0.455686i	0.855428	+	0.517921i	$0.173294\pi$
$252$	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	0.404432	+	0.914568i	$0.367469\pi$
$257$	−7.37965	+	22.7122i	−0.460330	+	1.41675i	−0.864762	+	0.502182i	$0.832531\pi$
$258$	−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	0.0985413	−	0.995133i	$-0.468582\pi$
$269$	−13.4069	−	9.74071i	−0.817436	−	0.593902i	−0.915977	+	0.401231i	$0.868582\pi$
$270$	−2.93228	−	2.13042i	−0.178453	−	0.129654i
$271$	−9.09263	+	27.9842i	−0.552338	+	1.69992i	0.150533	+	0.988605i	$0.451901\pi$
$271$	−9.09263	+	27.9842i	−0.552338	+	1.69992i	−0.702871	+	0.711317i	$0.748099\pi$
$272$	−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	−0.456040	+	0.889959i	$0.650733\pi$
$277$	−24.0224	+	17.4533i	−1.44337	+	1.04867i	−0.987326	+	0.158707i	$0.949267\pi$
$278$	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	0.988348	−	0.152214i	$-0.0486402\pi$
$281$	19.2607	+	13.9938i	1.14900	+	0.834797i	0.160652	+	0.987011i	$0.448640\pi$
$282$	3.35664	−	10.3307i	0.199885	−	0.615182i
$283$	−5.40892	−	16.6469i	−0.321527	−	0.989558i	−0.972984	−	0.230872i	$-0.925842\pi$
$283$	−5.40892	−	16.6469i	−0.321527	−	0.989558i	0.651457	−	0.758685i	$-0.274158\pi$
$284$	−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	−0.492805	−	0.870140i	$-0.664028\pi$
$293$	7.14368	−	21.9860i	0.417338	−	1.28443i	0.910143	−	0.414294i	$-0.135972\pi$
$294$	−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	−0.995669	−	0.0929716i	$-0.970363\pi$
$311$	−4.31715	−	13.2868i	−0.244803	−	0.753427i	0.750866	−	0.660455i	$-0.229637\pi$
$312$	1.44600	−	4.45034i	0.0818638	−	0.251951i
$313$	−8.47796	−	6.15960i	−0.479202	−	0.348161i	0.321814	−	0.946803i	$-0.395707\pi$
$313$	−8.47796	−	6.15960i	−0.479202	−	0.348161i	−0.801017	+	0.598642i	$0.795707\pi$
$314$	−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	0.484980	−	0.874526i	$-0.338827\pi$
$317$	26.1115	−	18.9711i	1.46657	−	1.06553i	0.981590	−	0.191000i	$-0.0611729\pi$
$318$	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	−0.458497	−	0.888696i	$-0.651612\pi$
$337$	7.98182	−	24.5655i	0.434797	−	1.33817i	0.893294	−	0.449473i	$-0.148388\pi$
$338$	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	0.444748	−	0.895656i	$-0.353293\pi$
$347$	−5.02278	−	3.64926i	−0.269637	−	0.195903i	−0.714385	+	0.699753i	$0.753293\pi$
$348$	1.50571	−	4.63410i	0.0807145	−	0.248414i
$349$	−3.19990	−	9.84828i	−0.171287	−	0.527166i	0.828158	−	0.560495i	$-0.189389\pi$
$349$	−3.19990	−	9.84828i	−0.171287	−	0.527166i	−0.999444	+	0.0333289i	$0.989389\pi$
$350$	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	−0.950806	−	0.309788i	$-0.899742\pi$
$359$	0.00949977	−	0.0292373i	0.000501379	−	0.00154309i	0.951307	+	0.308245i	$0.0997418\pi$
$360$	−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	−0.999111	−	0.0421633i	$-0.986575\pi$
$367$	−3.18068	+	9.78913i	−0.166030	+	0.510988i	0.833081	+	0.553152i	$0.186575\pi$
$368$	−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	0.573154	−	0.819448i	$-0.305720\pi$
$379$	−0.565995	−	0.411219i	−0.0290732	−	0.0211229i	−0.602227	+	0.798325i	$0.705720\pi$
$380$	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	0.603366	−	0.797464i	$-0.293826\pi$
$383$	30.2999	−	22.0141i	1.54825	−	1.12487i	0.944884	−	0.327405i	$-0.106174\pi$
$384$	−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	−0.995669	−	0.0929732i	$-0.970363\pi$
$389$	−2.67263	+	8.22550i	−0.135508	+	0.417049i	0.860161	+	0.510022i	$0.170363\pi$
$390$	−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	0.126505	−	0.991966i	$-0.459624\pi$
$401$	−15.5758	−	11.3165i	−0.777819	−	0.565118i	−0.904324	+	0.426848i	$0.859624\pi$
$402$	−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	−0.976010	−	0.217724i	$-0.930137\pi$
$409$	−21.6505	+	15.7300i	−1.07055	+	0.777798i	−0.0945361	+	0.995521i	$0.530137\pi$
$410$	−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	0.874332	−	0.485328i	$-0.161300\pi$
$421$	−2.42703	−	7.46962i	−0.118286	−	0.364047i	−0.992618	+	0.121281i	$0.961300\pi$
$422$	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	−0.0174092	−	0.999848i	$-0.505542\pi$
$431$	19.2683	−	13.9993i	0.928123	−	0.674321i	0.945533	+	0.325527i	$0.105542\pi$
$432$	−1.12003	−	3.44710i	−0.0538875	−	0.165849i
$433$	4.77092	−	14.6834i	0.229276	−	0.705638i	−0.768553	−	0.639786i	$-0.779023\pi$
$433$	4.77092	−	14.6834i	0.229276	−	0.705638i	0.997829	−	0.0658530i	$-0.0209768\pi$
$434$	−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	0.792820	+	0.609456i	$0.208612\pi$
$443$	10.7268	+	33.0136i	0.509644	+	1.56852i	−0.283176	+	0.959068i	$0.591388\pi$
$444$	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	0.181734	−	0.983348i	$-0.441829\pi$
$449$	24.8578	−	18.0603i	1.17311	−	0.852316i	0.991378	+	0.131031i	$0.0418289\pi$
$450$	−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	0.128090	−	0.991763i	$-0.459115\pi$
$457$	−16.5794	−	12.0456i	−0.775551	−	0.563470i	−0.903640	+	0.428292i	$0.859115\pi$
$458$	−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	0.988494	−	0.151262i	$-0.0483337\pi$
$467$	24.8538	+	18.0573i	1.15010	+	0.835594i	0.161603	+	0.986856i	$0.448334\pi$
$468$	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	−0.282440	−	0.959285i	$-0.591144\pi$
$479$	−28.0591	−	20.3861i	−1.28205	−	0.931466i	−0.999613	+	0.0278193i	$0.991144\pi$
$480$	−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	0.813096	+	0.582130i	$0.197780\pi$
$487$	10.9779	+	33.7864i	0.497455	+	1.53101i	−0.315641	+	0.948879i	$0.602220\pi$
$488$	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	−0.587515	−	0.809213i	$-0.699894\pi$
$491$	8.05325	−	24.7854i	0.363438	−	1.11855i	0.950953	−	0.309334i	$-0.100106\pi$
$492$	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	−0.811049	−	0.584978i	$-0.801103\pi$
$499$	4.22071	−	12.9900i	0.188945	−	0.581513i	0.999994	+	0.00346524i	$0.00110302\pi$
$500$	−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	0.859951	+	0.510376i	$0.170494\pi$
$503$	10.4115	+	32.0434i	0.464228	+	1.42875i	−0.395724	+	0.918370i	$0.629506\pi$
$504$	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	0.962371	+	0.271740i	$0.0875990\pi$
$509$	7.75019	+	23.8526i	0.343521	+	1.05725i	−0.618850	+	0.785510i	$0.712401\pi$
$510$	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	0.661061	+	0.750332i	$0.270107\pi$
$521$	−7.18506	+	22.1133i	−0.314783	+	0.968803i	−0.975844	+	0.218470i	$0.929893\pi$
$522$	2.37343	+	1.72439i	0.103882	+	0.0754747i
$523$	−0.160733	−	0.116779i	−0.00702836	−	0.00510640i	0.584266	−	0.811563i	$-0.301383\pi$
$523$	−0.160733	−	0.116779i	−0.00702836	−	0.00510640i	−0.591294	+	0.806456i	$0.701383\pi$
$524$	−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	−0.985980	−	0.166861i	$-0.946637\pi$
$541$	−26.3290	+	19.1291i	−1.13197	+	0.822425i	−0.145991	+	0.989286i	$0.546637\pi$
$542$	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	−0.970401	−	0.241499i	$-0.922361\pi$
$547$	−7.65443	−	23.5579i	−0.327280	−	1.00726i	0.643121	−	0.765764i	$-0.277639\pi$
$548$	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	−0.335577	−	0.942013i	$-0.608931\pi$
$557$	11.5552	−	35.5634i	0.489612	−	1.50687i	0.825189	−	0.564857i	$-0.191069\pi$
$558$	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	−0.842204	−	0.539159i	$-0.818742\pi$
$563$	−13.9919	+	10.1657i	−0.589688	+	0.428433i	0.252516	+	0.967593i	$0.418742\pi$
$564$	−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	0.812847	+	0.582477i	$0.197916\pi$
$569$	11.8699	+	36.5317i	0.497611	+	1.53149i	−0.315236	+	0.949013i	$0.602084\pi$
$570$	−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	−0.995619	−	0.0934986i	$-0.970195\pi$
$577$	−33.4419	−	24.2970i	−1.39221	−	1.01150i	−0.396586	−	0.917998i	$-0.629805\pi$
$578$	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	−0.985443	−	0.170005i	$-0.945622\pi$
$587$	−2.13878	+	6.58248i	−0.0882767	+	0.271688i	0.897167	+	0.441692i	$0.145622\pi$
$588$	−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	0.517425	−	0.855729i	$-0.326891\pi$
$599$	−3.34147	−	2.42772i	−0.136529	−	0.0991939i	−0.653953	+	0.756535i	$0.726891\pi$
$600$	1.66582	+	1.21029i	0.0680066	+	0.0494097i
$601$	1.19615	−	3.68139i	0.0487922	−	0.150167i	−0.923692	−	0.383136i	$-0.874844\pi$
$601$	1.19615	−	3.68139i	0.0487922	−	0.150167i	0.972484	+	0.232969i	$0.0748441\pi$
$602$	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	−0.957181	−	0.289492i	$-0.906514\pi$
$607$	−24.0865	+	17.4999i	−0.977643	+	0.710299i	−0.0204621	+	0.999791i	$0.506514\pi$
$608$	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	−0.970955	−	0.239264i	$-0.923094\pi$
$613$	−8.07315	−	24.8466i	−0.326071	−	1.00354i	0.644883	−	0.764281i	$-0.276906\pi$
$614$	−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	0.876622	−	0.481180i	$-0.159792\pi$
$619$	−2.87138	−	8.83720i	−0.115411	−	0.355197i	−0.992032	+	0.125983i	$0.959792\pi$
$620$	−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	0.584183	+	0.811622i	$0.301415\pi$
$631$	−9.18101	+	28.2562i	−0.365490	+	1.12486i	−0.949674	+	0.313241i	$0.898585\pi$
$632$	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	−0.999514	−	0.0311686i	$-0.990077\pi$
$641$	−5.29679	−	16.3018i	−0.209211	−	0.643884i	0.790303	−	0.612716i	$-0.209923\pi$
$642$	12.0437	−	37.0667i	0.475327	−	1.46291i
$643$	20.8173	+	15.1247i	0.820955	+	0.596459i	0.916986	−	0.398920i	$-0.130615\pi$
$643$	20.8173	+	15.1247i	0.820955	+	0.596459i	−0.0960309	+	0.995378i	$0.530615\pi$
$644$	−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	−0.187855	−	0.982197i	$-0.560153\pi$
$647$	17.5057	−	12.7186i	0.688220	−	0.500021i	0.876074	+	0.482176i	$0.160153\pi$
$648$	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	−0.390880	−	0.920442i	$-0.627829\pi$
$653$	11.9176	−	36.6785i	0.466371	−	1.43534i	0.857250	−	0.514900i	$-0.172171\pi$
$654$	−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	−0.148918	−	0.988850i	$-0.547579\pi$
$673$	19.3403	−	14.0516i	0.745515	−	0.541649i	0.894434	+	0.447201i	$0.147579\pi$
$674$	−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	0.657625	−	0.753346i	$-0.271561\pi$
$677$	3.75632	+	2.72913i	0.144367	+	0.104889i	−0.513257	+	0.858235i	$0.671561\pi$
$678$	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	−0.877865	−	0.478909i	$-0.841033\pi$
$691$	−18.2344	+	13.2481i	−0.693671	+	0.503981i	0.184194	+	0.982890i	$0.441033\pi$
$692$	−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	0.918599	+	0.395190i	$0.129321\pi$
$701$	10.7951	+	33.2238i	0.407724	+	1.25484i	−0.510876	+	0.859655i	$0.670679\pi$
$702$	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	0.620444	−	0.784251i	$-0.286953\pi$
$709$	1.76548	+	1.28270i	0.0663040	+	0.0481727i	−0.554140	+	0.832424i	$0.686953\pi$
$710$	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	−0.724916	−	0.688837i	$-0.758121\pi$
$719$	7.14442	−	21.9882i	0.266442	−	0.820023i	0.991358	−	0.131186i	$-0.0418785\pi$
$720$	−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	−0.745241	−	0.666795i	$-0.767666\pi$
$733$	6.75777	−	20.7983i	0.249604	−	0.768201i	0.994845	−	0.101407i	$-0.0323343\pi$
$734$	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	−0.585132	−	0.810938i	$-0.698957\pi$
$739$	0.144097	−	0.104692i	0.00530068	−	0.00385117i	0.590432	+	0.807087i	$0.298957\pi$
$740$	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	0.981066	−	0.193676i	$-0.0620409\pi$
$743$	29.9848	+	21.7852i	1.10004	+	0.799222i	0.118969	+	0.992898i	$0.462041\pi$
$744$	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	−0.982203	−	0.187821i	$-0.939858\pi$
$751$	−8.16602	−	25.1324i	−0.297982	−	0.917095i	0.684221	−	0.729275i	$-0.260142\pi$
$752$	−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	−0.717416	−	0.696645i	$-0.754675\pi$
$757$	−7.60920	+	5.52841i	−0.276561	+	0.200933i	0.440855	+	0.897578i	$0.354675\pi$
$758$	−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	−0.202129	−	0.979359i	$-0.564786\pi$
$761$	18.3955	−	13.3651i	0.666835	−	0.484484i	0.868964	+	0.494875i	$0.164786\pi$
$762$	−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	0.938440	−	0.345443i	$-0.112271\pi$
$773$	−0.662276	−	2.03828i	−0.0238204	−	0.0733117i	−0.962260	+	0.272132i	$0.912271\pi$
$774$	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	−0.158327	−	0.987387i	$-0.550610\pi$
$787$	−32.1581	−	23.3643i	−1.14631	−	0.832846i	−0.987986	+	0.154541i	$0.950610\pi$
$788$	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	0.999980	+	0.00639062i	$0.00203421\pi$
$797$	37.1259	+	26.9736i	1.31507	+	0.955453i	0.315089	+	0.949062i	$0.397966\pi$
$798$	−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	0.536262	−	0.844052i	$-0.319836\pi$
$809$	−2.86605	−	2.08230i	−0.100765	−	0.0732099i	−0.637027	+	0.770842i	$0.719836\pi$
$810$	3.45551	−	10.6350i	0.121414	−	0.373675i
$811$	9.60835	+	29.5715i	0.337395	+	1.03839i	0.965530	+	0.260290i	$0.0838183\pi$
$811$	9.60835	+	29.5715i	0.337395	+	1.03839i	−0.628136	+	0.778104i	$0.716182\pi$
$812$	−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	−0.994733	−	0.102500i	$-0.967316\pi$
$821$	−3.71714	+	11.4402i	−0.129729	+	0.399265i	0.865004	+	0.501765i	$0.167316\pi$
$822$	3.06280	+	9.42634i	0.106828	+	0.328781i
$823$	−7.11841	+	5.17182i	−0.248132	+	0.180278i	−0.704899	−	0.709308i	$-0.749007\pi$
$823$	−7.11841	+	5.17182i	−0.248132	+	0.180278i	0.456767	+	0.889587i	$0.349007\pi$
$824$	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	−0.123724	−	0.992317i	$-0.539484\pi$
$827$	22.4825	−	16.3345i	0.781793	−	0.568006i	0.905517	+	0.424311i	$0.139484\pi$
$828$	0.249550	+	0.768036i	0.00867246	+	0.0266911i
$829$	−4.27702	+	13.1633i	−0.148547	+	0.457180i	−0.997450	−	0.0713681i	$-0.977263\pi$
$829$	−4.27702	+	13.1633i	−0.148547	+	0.457180i	0.848903	+	0.528548i	$0.177263\pi$
$830$	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	0.949032	+	0.315181i	$0.102065\pi$
$839$	10.6161	+	32.6729i	0.366507	+	1.12799i	−0.582524	+	0.812813i	$0.697935\pi$
$840$	−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	0.982765	−	0.184859i	$-0.0591828\pi$
$853$	32.4377	+	23.5674i	1.11065	+	0.806931i	0.127880	+	0.991790i	$0.459183\pi$
$854$	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	0.128679	−	0.991686i	$-0.458926\pi$
$863$	−22.7584	−	16.5350i	−0.774707	−	0.562857i	−0.903386	+	0.428829i	$0.858926\pi$
$864$	−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	0.833052	−	0.553194i	$-0.186591\pi$
$877$	−4.91774	−	15.1353i	−0.166060	−	0.511081i	−0.999113	+	0.0421126i	$0.986591\pi$
$878$	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	−0.924121	−	0.382099i	$-0.875201\pi$
$883$	−11.9183	−	36.6808i	−0.401084	−	1.23441i	0.523038	−	0.852309i	$-0.324799\pi$
$884$	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	−0.873525	−	0.486779i	$-0.838172\pi$
$887$	3.55286	−	10.9346i	0.119293	−	0.367147i	0.992818	+	0.119632i	$0.0381716\pi$
$888$	−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	−0.0113263	−	0.999936i	$-0.503605\pi$
$907$	−29.0871	−	21.1330i	−0.965822	−	0.701711i	−0.954496	+	0.298225i	$0.903605\pi$
$908$	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	−0.751735	−	0.659465i	$-0.770783\pi$
$911$	−10.7706	+	7.82531i	−0.356846	+	0.259264i	0.394889	+	0.918729i	$0.370783\pi$
$912$	−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	−0.951348	−	0.308119i	$-0.900301\pi$
$919$	−46.6357	−	33.8828i	−1.53837	−	1.11769i	−0.587021	−	0.809572i	$-0.699699\pi$
$920$	−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	0.580475	−	0.814278i	$-0.302867\pi$
$929$	−0.444185	−	0.322719i	−0.0145732	−	0.0105881i	−0.595048	+	0.803690i	$0.702867\pi$
$930$	−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	−0.530625	+	0.847607i	$0.678043\pi$
$937$	−45.9377	+	33.3757i	−1.50072	+	1.09034i	−0.970094	+	0.242730i	$0.921957\pi$
$938$	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	0.902713	−	0.430243i	$-0.141572\pi$
$941$	23.6964	+	17.2165i	0.772482	+	0.561241i	−0.130231	+	0.991484i	$0.541572\pi$
$942$	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	0.450062	+	0.892997i	$0.351402\pi$
$953$	−13.5503	+	41.7035i	−0.438937	+	1.35091i	−0.888998	+	0.457910i	$0.848598\pi$
$954$	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	−0.783773	−	0.621047i	$-0.786708\pi$
$971$	−16.0394	−	49.3643i	−0.514730	−	1.58418i	0.269043	−	0.963128i	$-0.413292\pi$
$972$	−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	−0.355814	−	0.934557i	$-0.615796\pi$
$977$	13.2233	−	9.60726i	0.423049	−	0.307363i	0.778864	+	0.627193i	$0.215796\pi$
$978$	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	0.544531	+	0.838740i	$0.316708\pi$
$983$	−12.1963	+	37.5365i	−0.389003	+	1.19723i	−0.933534	+	0.358488i	$0.883292\pi$
$984$	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	−0.944855	−	0.327489i	$-0.893798\pi$
$997$	0.380221	−	1.17020i	0.0120417	−	0.0370606i	0.956897	+	0.290428i	$0.0937977\pi$
$998$	−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.421.3	✓	12
11.2	odd	10		8470.2.a.dc.1.5		6
11.4	even	5	inner	770.2.n.j.631.3	yes	12
11.9	even	5		8470.2.a.cw.1.5		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
770.2.n.j.421.3	✓	12	1.1	even	1	trivial
770.2.n.j.631.3	yes	12	11.4	even	5	inner
8470.2.a.cw.1.5		6	11.9	even	5
8470.2.a.dc.1.5		6	11.2	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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