LMFDB - Embedded newform 165.2.m.c.91.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(16,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, 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("165.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.m (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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	$\Q(\zeta_{15})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 $ x^8 - x^7 + x^5 - x^4 + x^3 - x + 1
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			91.1
Root			$-0.978148 - 0.207912i$ of defining polynomial
Character	$\chi$	$=$	165.91
Dual form			165.2.m.c.136.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.08268 + 0.786610i) q^{2} +(-0.309017 - 0.951057i) q^{3} +(-0.0646021 + 0.198825i) q^{4} +(-0.809017 - 0.587785i) q^{5} +(1.08268 + 0.786610i) q^{6} +(-1.16913 + 3.59821i) q^{7} +(-0.913545 - 2.81160i) q^{8} +(-0.809017 + 0.587785i) q^{9} +O(q^{10})$	\(q+(-1.08268 + 0.786610i) q^{2} +(-0.309017 - 0.951057i) q^{3} +(-0.0646021 + 0.198825i) q^{4} +(-0.809017 - 0.587785i) q^{5} +(1.08268 + 0.786610i) q^{6} +(-1.16913 + 3.59821i) q^{7} +(-0.913545 - 2.81160i) q^{8} +(-0.809017 + 0.587785i) q^{9} +1.33826 q^{10} +(-0.569171 + 3.26742i) q^{11} +0.209057 q^{12} +(-3.99165 + 2.90011i) q^{13} +(-1.56460 - 4.81535i) q^{14} +(-0.309017 + 0.951057i) q^{15} +(2.86245 + 2.07969i) q^{16} +(-2.63611 - 1.91524i) q^{17} +(0.413545 - 1.27276i) q^{18} +(0.424228 + 1.30564i) q^{19} +(0.169131 - 0.122881i) q^{20} +3.78339 q^{21} +(-1.95396 - 3.98527i) q^{22} -1.93395 q^{23} +(-2.39169 + 1.73767i) q^{24} +(0.309017 + 0.951057i) q^{25} +(2.04041 - 6.27975i) q^{26} +(0.809017 + 0.587785i) q^{27} +(-0.639886 - 0.464905i) q^{28} +(-0.537591 + 1.65454i) q^{29} +(-0.413545 - 1.27276i) q^{30} +(4.79078 - 3.48070i) q^{31} +1.17758 q^{32} +(3.28339 - 0.468375i) q^{33} +4.36060 q^{34} +(3.06082 - 2.22382i) q^{35} +(-0.0646021 - 0.198825i) q^{36} +(1.45173 - 4.46796i) q^{37} +(-1.48633 - 1.07988i) q^{38} +(3.99165 + 2.90011i) q^{39} +(-0.913545 + 2.81160i) q^{40} +(2.91637 + 8.97566i) q^{41} +(-4.09618 + 2.97605i) q^{42} +11.4086 q^{43} +(-0.612875 - 0.324248i) q^{44} +1.00000 q^{45} +(2.09385 - 1.52127i) q^{46} +(0.248983 + 0.766292i) q^{47} +(1.09336 - 3.36501i) q^{48} +(-5.91716 - 4.29907i) q^{49} +(-1.08268 - 0.786610i) q^{50} +(-1.00690 + 3.09893i) q^{51} +(-0.318744 - 0.980993i) q^{52} +(-8.65323 + 6.28694i) q^{53} -1.33826 q^{54} +(2.38101 - 2.30885i) q^{55} +11.1848 q^{56} +(1.11064 - 0.806929i) q^{57} +(-0.719437 - 2.21420i) q^{58} +(3.75871 - 11.5681i) q^{59} +(-0.169131 - 0.122881i) q^{60} +(-6.95028 - 5.04968i) q^{61} +(-2.44890 + 7.53695i) q^{62} +(-1.16913 - 3.59821i) q^{63} +(-6.99983 + 5.08568i) q^{64} +4.93395 q^{65} +(-3.18641 + 3.08984i) q^{66} -2.77425 q^{67} +(0.551097 - 0.400395i) q^{68} +(0.597625 + 1.83930i) q^{69} +(-1.56460 + 4.81535i) q^{70} +(2.21645 + 1.61034i) q^{71} +(2.39169 + 1.73767i) q^{72} +(-2.89770 + 8.91822i) q^{73} +(1.94279 + 5.97929i) q^{74} +(0.809017 - 0.587785i) q^{75} -0.286999 q^{76} +(-11.0914 - 5.86804i) q^{77} -6.60292 q^{78} +(-10.3285 + 7.50407i) q^{79} +(-1.09336 - 3.36501i) q^{80} +(0.309017 - 0.951057i) q^{81} +(-10.2178 - 7.42369i) q^{82} +(2.76121 + 2.00614i) q^{83} +(-0.244415 + 0.752232i) q^{84} +(1.00690 + 3.09893i) q^{85} +(-12.3519 + 8.97416i) q^{86} +1.73968 q^{87} +(9.70666 - 1.38466i) q^{88} -7.85817 q^{89} +(-1.08268 + 0.786610i) q^{90} +(-5.76844 - 17.7534i) q^{91} +(0.124938 - 0.384518i) q^{92} +(-4.79078 - 3.48070i) q^{93} +(-0.872341 - 0.633793i) q^{94} +(0.424228 - 1.30564i) q^{95} +(-0.363892 - 1.11994i) q^{96} +(11.0185 - 8.00541i) q^{97} +9.78806 q^{98} +(-1.46007 - 2.97795i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 5 q^{7} - q^{8} - 2 q^{9}+O(q^{10}) $ 8 * q + 2 * q^2 + 2 * q^3 + 2 * q^4 - 2 * q^5 - 2 * q^6 - 5 * q^7 - q^8 - 2 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 5 q^{7} - q^{8} - 2 q^{9} + 2 q^{10} - q^{11} - 2 q^{12} - 16 q^{13} - 10 q^{14} + 2 q^{15} + 12 q^{16} - 4 q^{17} - 3 q^{18} + 2 q^{19} - 3 q^{20} - 9 q^{22} + 10 q^{23} - 4 q^{24} - 2 q^{25} + 16 q^{26} + 2 q^{27} - 5 q^{28} - 16 q^{29} + 3 q^{30} - 5 q^{31} - 4 q^{33} + 34 q^{34} + 5 q^{35} + 2 q^{36} - 5 q^{37} + 28 q^{38} + 16 q^{39} - q^{40} + 5 q^{41} - 15 q^{42} - 8 q^{43} - 19 q^{44} + 8 q^{45} + 10 q^{46} - q^{47} + 3 q^{48} - 11 q^{49} + 2 q^{50} + 4 q^{51} + 26 q^{52} - 15 q^{53} - 2 q^{54} - q^{55} + 20 q^{56} + 13 q^{57} - 24 q^{58} + 3 q^{59} + 3 q^{60} - 11 q^{61} - 15 q^{62} - 5 q^{63} - 9 q^{64} + 14 q^{65} - 31 q^{66} + 6 q^{67} + 9 q^{68} + 15 q^{69} - 10 q^{70} + q^{71} + 4 q^{72} - 35 q^{73} + 5 q^{74} + 2 q^{75} + 58 q^{76} - 25 q^{77} + 24 q^{78} - 30 q^{79} - 3 q^{80} - 2 q^{81} - 25 q^{82} + 31 q^{83} - 4 q^{85} - 62 q^{86} - 34 q^{87} + 17 q^{88} - 48 q^{89} + 2 q^{90} + 5 q^{91} - 20 q^{92} + 5 q^{93} - 19 q^{94} + 2 q^{95} - 20 q^{96} + 11 q^{97} + 26 q^{98} - 11 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 + 2 * q^4 - 2 * q^5 - 2 * q^6 - 5 * q^7 - q^8 - 2 * q^9 + 2 * q^10 - q^11 - 2 * q^12 - 16 * q^13 - 10 * q^14 + 2 * q^15 + 12 * q^16 - 4 * q^17 - 3 * q^18 + 2 * q^19 - 3 * q^20 - 9 * q^22 + 10 * q^23 - 4 * q^24 - 2 * q^25 + 16 * q^26 + 2 * q^27 - 5 * q^28 - 16 * q^29 + 3 * q^30 - 5 * q^31 - 4 * q^33 + 34 * q^34 + 5 * q^35 + 2 * q^36 - 5 * q^37 + 28 * q^38 + 16 * q^39 - q^40 + 5 * q^41 - 15 * q^42 - 8 * q^43 - 19 * q^44 + 8 * q^45 + 10 * q^46 - q^47 + 3 * q^48 - 11 * q^49 + 2 * q^50 + 4 * q^51 + 26 * q^52 - 15 * q^53 - 2 * q^54 - q^55 + 20 * q^56 + 13 * q^57 - 24 * q^58 + 3 * q^59 + 3 * q^60 - 11 * q^61 - 15 * q^62 - 5 * q^63 - 9 * q^64 + 14 * q^65 - 31 * q^66 + 6 * q^67 + 9 * q^68 + 15 * q^69 - 10 * q^70 + q^71 + 4 * q^72 - 35 * q^73 + 5 * q^74 + 2 * q^75 + 58 * q^76 - 25 * q^77 + 24 * q^78 - 30 * q^79 - 3 * q^80 - 2 * q^81 - 25 * q^82 + 31 * q^83 - 4 * q^85 - 62 * q^86 - 34 * q^87 + 17 * q^88 - 48 * q^89 + 2 * q^90 + 5 * q^91 - 20 * q^92 + 5 * q^93 - 19 * q^94 + 2 * q^95 - 20 * q^96 + 11 * q^97 + 26 * q^98 - 11 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{4}{5}\right)$	$1$	$1$

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 $

$2$	−1.08268	+	0.786610i	−0.765568	+	0.556217i	−0.900613	−	0.434622i	$-0.856882\pi$
$2$	−1.08268	+	0.786610i	−0.765568	+	0.556217i	0.135045	+	0.990839i	$0.456882\pi$
$3$	−0.309017	−	0.951057i	−0.178411	−	0.549093i
$3$	−0.309017	−	0.951057i	−0.178411	−	0.549093i
$4$	−0.0646021	+	0.198825i	−0.0323011	+	0.0994125i
$5$	−0.809017	−	0.587785i	−0.361803	−	0.262866i
$5$	−0.809017	−	0.587785i	−0.361803	−	0.262866i
$6$	1.08268	+	0.786610i	0.442001	+	0.321132i
$7$	−1.16913	+	3.59821i	−0.441890	+	1.36000i	0.443969	+	0.896042i	$0.353570\pi$
$7$	−1.16913	+	3.59821i	−0.441890	+	1.36000i	−0.885859	+	0.463955i	$0.846430\pi$
$8$	−0.913545	−	2.81160i	−0.322987	−	0.994052i
$9$	−0.809017	+	0.587785i	−0.269672	+	0.195928i
$10$	1.33826			0.423195
$11$	−0.569171	+	3.26742i	−0.171611	+	0.985165i
$11$	−0.569171	+	3.26742i	−0.171611	+	0.985165i
$12$	0.209057			0.0603495
$13$	−3.99165	+	2.90011i	−1.10709	+	0.804345i	−0.982202	−	0.187827i	$-0.939856\pi$
$13$	−3.99165	+	2.90011i	−1.10709	+	0.804345i	−0.124883	+	0.992171i	$0.539856\pi$
$14$	−1.56460	−	4.81535i	−0.418158	−	1.28696i
$15$	−0.309017	+	0.951057i	−0.0797878	+	0.245562i
$16$	2.86245	+	2.07969i	0.715612	+	0.519923i
$17$	−2.63611	−	1.91524i	−0.639350	−	0.464515i	0.220277	−	0.975437i	$-0.429304\pi$
$17$	−2.63611	−	1.91524i	−0.639350	−	0.464515i	−0.859627	+	0.510922i	$0.829304\pi$
$18$	0.413545	−	1.27276i	0.0974736	−	0.299993i
$19$	0.424228	+	1.30564i	0.0973245	+	0.299534i	0.987853	−	0.155394i	$-0.0496649\pi$
$19$	0.424228	+	1.30564i	0.0973245	+	0.299534i	−0.890528	+	0.454928i	$0.849665\pi$
$20$	0.169131	−	0.122881i	0.0378188	−	0.0274769i
$21$	3.78339			0.825603
$22$	−1.95396	−	3.98527i	−0.416586	−	0.849663i
$23$	−1.93395			−0.403257			−0.201629	−	0.979462i	$-0.564623\pi$
$23$	−1.93395			−0.403257			−0.201629	+	0.979462i	$0.564623\pi$
$24$	−2.39169	+	1.73767i	−0.488202	+	0.354700i
$25$	0.309017	+	0.951057i	0.0618034	+	0.190211i
$26$	2.04041	−	6.27975i	0.400158	−	1.23156i
$27$	0.809017	+	0.587785i	0.155695	+	0.113119i
$28$	−0.639886	−	0.464905i	−0.120927	−	0.0878587i
$29$	−0.537591	+	1.65454i	−0.0998282	+	0.307239i	−0.988482	−	0.151339i	$-0.951641\pi$
$29$	−0.537591	+	1.65454i	−0.0998282	+	0.307239i	0.888654	+	0.458579i	$0.151641\pi$
$30$	−0.413545	−	1.27276i	−0.0755027	−	0.232373i
$31$	4.79078	−	3.48070i	0.860449	−	0.625153i	−0.0675580	−	0.997715i	$-0.521521\pi$
$31$	4.79078	−	3.48070i	0.860449	−	0.625153i	0.928007	+	0.372562i	$0.121521\pi$
$32$	1.17758			0.208169
$33$	3.28339	−	0.468375i	0.571564	−	0.0815337i
$34$	4.36060			0.747837
$35$	3.06082	−	2.22382i	0.517374	−	0.375894i
$36$	−0.0646021	−	0.198825i	−0.0107670	−	0.0331375i
$37$	1.45173	−	4.46796i	0.238662	−	0.734527i	−0.757952	−	0.652310i	$-0.773800\pi$
$37$	1.45173	−	4.46796i	0.238662	−	0.734527i	0.996614	−	0.0822171i	$-0.0262001\pi$
$38$	−1.48633	−	1.07988i	−0.241114	−	0.175180i
$39$	3.99165	+	2.90011i	0.639176	+	0.464389i
$40$	−0.913545	+	2.81160i	−0.144444	+	0.444554i
$41$	2.91637	+	8.97566i	0.455460	+	1.40176i	0.870594	+	0.492002i	$0.163735\pi$
$41$	2.91637	+	8.97566i	0.455460	+	1.40176i	−0.415134	+	0.909760i	$0.636265\pi$
$42$	−4.09618	+	2.97605i	−0.632055	+	0.459215i
$43$	11.4086			1.73980			0.869901	−	0.493226i	$-0.164182\pi$
$43$	11.4086			1.73980			0.869901	+	0.493226i	$0.164182\pi$
$44$	−0.612875	−	0.324248i	−0.0923944	−	0.0488822i
$45$	1.00000			0.149071
$46$	2.09385	−	1.52127i	0.308721	−	0.224299i
$47$	0.248983	+	0.766292i	0.0363179	+	0.111775i	0.967572	−	0.252595i	$-0.0812842\pi$
$47$	0.248983	+	0.766292i	0.0363179	+	0.111775i	−0.931254	+	0.364371i	$0.881284\pi$
$48$	1.09336	−	3.36501i	0.157813	−	0.485697i
$49$	−5.91716	−	4.29907i	−0.845308	−	0.614153i
$50$	−1.08268	−	0.786610i	−0.153114	−	0.111243i
$51$	−1.00690	+	3.09893i	−0.140995	+	0.433937i
$52$	−0.318744	−	0.980993i	−0.0442018	−	0.136039i
$53$	−8.65323	+	6.28694i	−1.18861	+	0.863577i	−0.993117	−	0.117127i	$-0.962631\pi$
$53$	−8.65323	+	6.28694i	−1.18861	+	0.863577i	−0.195495	+	0.980705i	$0.562631\pi$
$54$	−1.33826			−0.182114
$55$	2.38101	−	2.30885i	0.321055	−	0.311325i
$56$	11.1848			1.49463
$57$	1.11064	−	0.806929i	0.147108	−	0.106880i
$58$	−0.719437	−	2.21420i	−0.0944667	−	0.290739i
$59$	3.75871	−	11.5681i	0.489342	−	1.50604i	−0.336249	−	0.941773i	$-0.609158\pi$
$59$	3.75871	−	11.5681i	0.489342	−	1.50604i	0.825592	−	0.564268i	$-0.190842\pi$
$60$	−0.169131	−	0.122881i	−0.0218347	−	0.0158638i
$61$	−6.95028	−	5.04968i	−0.889893	−	0.646545i	0.0459574	−	0.998943i	$-0.485366\pi$
$61$	−6.95028	−	5.04968i	−0.889893	−	0.646545i	−0.935850	+	0.352399i	$0.885366\pi$
$62$	−2.44890	+	7.53695i	−0.311011	+	0.957194i
$63$	−1.16913	−	3.59821i	−0.147297	−	0.453332i
$64$	−6.99983	+	5.08568i	−0.874979	+	0.635710i
$65$	4.93395			0.611982
$66$	−3.18641	+	3.08984i	−0.392221	+	0.380334i
$67$	−2.77425			−0.338928			−0.169464	−	0.985536i	$-0.554204\pi$
$67$	−2.77425			−0.338928			−0.169464	+	0.985536i	$0.554204\pi$
$68$	0.551097	−	0.400395i	0.0668303	−	0.0485550i
$69$	0.597625	+	1.83930i	0.0719456	+	0.221426i
$70$	−1.56460	+	4.81535i	−0.187006	+	0.575544i
$71$	2.21645	+	1.61034i	0.263044	+	0.191113i	0.711488	−	0.702698i	$-0.248022\pi$
$71$	2.21645	+	1.61034i	0.263044	+	0.191113i	−0.448444	+	0.893811i	$0.648022\pi$
$72$	2.39169	+	1.73767i	0.281864	+	0.204786i
$73$	−2.89770	+	8.91822i	−0.339151	+	1.04380i	0.625490	+	0.780232i	$0.284899\pi$
$73$	−2.89770	+	8.91822i	−0.339151	+	1.04380i	−0.964641	+	0.263567i	$0.915101\pi$
$74$	1.94279	+	5.97929i	0.225845	+	0.695079i
$75$	0.809017	−	0.587785i	0.0934172	−	0.0678716i
$76$	−0.286999			−0.0329211
$77$	−11.0914	−	5.86804i	−1.26399	−	0.668725i
$78$	−6.60292			−0.747633
$79$	−10.3285	+	7.50407i	−1.16204	+	0.844274i	−0.990035	−	0.140821i	$-0.955026\pi$
$79$	−10.3285	+	7.50407i	−1.16204	+	0.844274i	−0.172009	+	0.985095i	$0.555026\pi$
$80$	−1.09336	−	3.36501i	−0.122241	−	0.376220i
$81$	0.309017	−	0.951057i	0.0343352	−	0.105673i
$82$	−10.2178	−	7.42369i	−1.12837	−	0.819809i
$83$	2.76121	+	2.00614i	0.303082	+	0.220202i	0.728923	−	0.684596i	$-0.240021\pi$
$83$	2.76121	+	2.00614i	0.303082	+	0.220202i	−0.425840	+	0.904798i	$0.640021\pi$
$84$	−0.244415	+	0.752232i	−0.0266678	+	0.0820752i
$85$	1.00690	+	3.09893i	0.109214	+	0.336126i
$86$	−12.3519	+	8.97416i	−1.33194	+	0.967708i
$87$	1.73968			0.186513
$88$	9.70666	−	1.38466i	1.03473	−	0.147605i
$89$	−7.85817			−0.832964			−0.416482	−	0.909144i	$-0.636737\pi$
$89$	−7.85817			−0.832964			−0.416482	+	0.909144i	$0.636737\pi$
$90$	−1.08268	+	0.786610i	−0.114124	+	0.0829160i
$91$	−5.76844	−	17.7534i	−0.604697	−	1.86106i
$92$	0.124938	−	0.384518i	0.0130256	−	0.0400888i
$93$	−4.79078	−	3.48070i	−0.496781	−	0.360932i
$94$	−0.872341	−	0.633793i	−0.0899751	−	0.0653707i
$95$	0.424228	−	1.30564i	0.0435248	−	0.133956i
$96$	−0.363892	−	1.11994i	−0.0371396	−	0.114304i
$97$	11.0185	−	8.00541i	1.11876	−	0.812826i	0.134739	−	0.990881i	$-0.456981\pi$
$97$	11.0185	−	8.00541i	1.11876	−	0.812826i	0.984021	+	0.178055i	$0.0569805\pi$
$98$	9.78806			0.988743
$99$	−1.46007	−	2.97795i	−0.146743	−	0.299295i
$100$	−0.209057			−0.0209057
$101$	−6.42232	+	4.66609i	−0.639044	+	0.464293i	−0.859522	−	0.511099i	$-0.829239\pi$
$101$	−6.42232	+	4.66609i	−0.639044	+	0.464293i	0.220477	+	0.975392i	$0.429239\pi$
$102$	−1.34750	−	4.14718i	−0.133422	−	0.410632i
$103$	−3.77163	+	11.6079i	−0.371629	+	1.14376i	0.574095	+	0.818788i	$0.305354\pi$
$103$	−3.77163	+	11.6079i	−0.371629	+	1.14376i	−0.945725	+	0.324969i	$0.894646\pi$
$104$	11.8005	+	8.57357i	1.15713	+	0.840708i
$105$	−3.06082	−	2.22382i	−0.298706	−	0.217022i
$106$	4.42327	−	13.6134i	0.429626	−	1.32225i
$107$	0.721670	+	2.22107i	0.0697665	+	0.214719i	0.979861	−	0.199682i	$-0.0639910\pi$
$107$	0.721670	+	2.22107i	0.0697665	+	0.214719i	−0.910094	+	0.414401i	$0.863991\pi$
$108$	−0.169131	+	0.122881i	−0.0162746	+	0.0118242i
$109$	6.39419			0.612453			0.306226	−	0.951959i	$-0.400934\pi$
$109$	6.39419			0.612453			0.306226	+	0.951959i	$0.400934\pi$
$110$	−0.761699	+	4.37266i	−0.0726251	+	0.416917i
$111$	−4.69789			−0.445904
$112$	−10.8297	+	7.86827i	−1.02332	+	0.743482i
$113$	5.60298	+	17.2442i	0.527084	+	1.62220i	0.760157	+	0.649739i	$0.225122\pi$
$113$	5.60298	+	17.2442i	0.527084	+	1.62220i	−0.233073	+	0.972459i	$0.574878\pi$
$114$	−0.567727	+	1.74728i	−0.0531725	+	0.163648i
$115$	1.56460	+	1.13675i	0.145900	+	0.106002i
$116$	−0.294233	−	0.213773i	−0.0273189	−	0.0198483i
$117$	1.52468	−	4.69247i	0.140956	−	0.433819i
$118$	5.03014	+	15.4812i	0.463062	+	1.42516i
$119$	9.97341	−	7.24611i	0.914261	−	0.664250i
$120$	2.95630			0.269872
$121$	−10.3521	−	3.71944i	−0.941099	−	0.338131i
$122$	11.4970			1.04089
$123$	7.63515	−	5.54726i	0.688439	−	0.500180i
$124$	0.382556	+	1.17739i	0.0343546	+	0.105732i
$125$	0.309017	−	0.951057i	0.0276393	−	0.0850651i
$126$	4.09618	+	2.97605i	0.364917	+	0.265128i
$127$	18.0510	+	13.1148i	1.60177	+	1.16375i	0.884015	+	0.467459i	$0.154830\pi$
$127$	18.0510	+	13.1148i	1.60177	+	1.16375i	0.717755	+	0.696295i	$0.245170\pi$
$128$	2.85032	−	8.77239i	0.251935	−	0.775377i
$129$	−3.52547	−	10.8503i	−0.310400	−	0.955313i
$130$	−5.34187	+	3.88110i	−0.468513	+	0.340395i
$131$	−0.562102			−0.0491111			−0.0245555	−	0.999698i	$-0.507817\pi$
$131$	−0.562102			−0.0491111			−0.0245555	+	0.999698i	$0.507817\pi$
$132$	−0.118989	+	0.683077i	−0.0103567	+	0.0594542i
$133$	−5.19394			−0.450372
$134$	3.00361	−	2.18225i	0.259473	−	0.188518i
$135$	−0.309017	−	0.951057i	−0.0265959	−	0.0818539i
$136$	−2.97670	+	9.16135i	−0.255250	+	0.785580i
$137$	14.7823	+	10.7399i	1.26293	+	0.917575i	0.998898	−	0.0469373i	$-0.0149461\pi$
$137$	14.7823	+	10.7399i	1.26293	+	0.917575i	0.264036	+	0.964513i	$0.414946\pi$
$138$	−2.09385	−	1.52127i	−0.178240	−	0.129499i
$139$	4.40658	−	13.5621i	0.373761	−	1.15032i	−0.570550	−	0.821263i	$-0.693270\pi$
$139$	4.40658	−	13.5621i	0.373761	−	1.15032i	0.944311	−	0.329055i	$-0.106730\pi$
$140$	0.244415	+	0.752232i	0.0206568	+	0.0635752i
$141$	0.651847	−	0.473594i	0.0548954	−	0.0398838i
$142$	−3.66641			−0.307678
$143$	−7.20394	−	14.6931i	−0.602423	−	1.22870i
$144$	−3.53818			−0.294848
$145$	1.40743	−	1.02256i	0.116881	−	0.0849189i
$146$	−3.87789	−	11.9349i	−0.320936	−	0.987740i
$147$	−2.26015	+	6.95604i	−0.186414	+	0.573724i
$148$	0.794556	+	0.577279i	0.0653121	+	0.0474520i
$149$	−8.57873	−	6.23281i	−0.702797	−	0.510612i	0.178045	−	0.984022i	$-0.443023\pi$
$149$	−8.57873	−	6.23281i	−0.702797	−	0.510612i	−0.880842	+	0.473410i	$0.843023\pi$
$150$	−0.413545	+	1.27276i	−0.0337658	+	0.103921i
$151$	3.88538	+	11.9580i	0.316188	+	0.973126i	0.975263	+	0.221049i	$0.0709479\pi$
$151$	3.88538	+	11.9580i	0.316188	+	0.973126i	−0.659075	+	0.752077i	$0.729052\pi$
$152$	3.28339	−	2.38552i	0.266318	−	0.193491i
$153$	3.25841			0.263427
$154$	16.6243	−	2.37146i	1.33962	−	0.191098i
$155$	−5.92173			−0.475645
$156$	−0.834483	+	0.606287i	−0.0668121	+	0.0485418i
$157$	−3.87297	−	11.9198i	−0.309096	−	0.951301i	−0.978117	−	0.208057i	$-0.933286\pi$
$157$	−3.87297	−	11.9198i	−0.309096	−	0.951301i	0.669020	−	0.743244i	$-0.266714\pi$
$158$	5.27961	−	16.2490i	0.420023	−	1.29270i
$159$	8.65323	+	6.28694i	0.686246	+	0.498587i
$160$	−0.952682	−	0.692164i	−0.0753161	−	0.0547204i
$161$	2.26105	−	6.95878i	0.178195	−	0.548429i
$162$	0.413545	+	1.27276i	0.0324912	+	0.0999976i
$163$	2.51052	−	1.82400i	0.196639	−	0.142866i	−0.485109	−	0.874454i	$-0.661220\pi$
$163$	2.51052	−	1.82400i	0.196639	−	0.142866i	0.681748	+	0.731587i	$0.261220\pi$
$164$	−1.97299			−0.154065
$165$	−2.93162	−	1.55100i	−0.228226	−	0.120745i
$166$	−4.56754			−0.354510
$167$	6.75446	−	4.90741i	0.522676	−	0.379746i	−0.294935	−	0.955517i	$-0.595298\pi$
$167$	6.75446	−	4.90741i	0.522676	−	0.379746i	0.817611	+	0.575771i	$0.195298\pi$
$168$	−3.45630	−	10.6374i	−0.266659	−	0.820692i
$169$	3.50546	−	10.7887i	0.269651	−	0.829900i
$170$	−3.52780	−	2.56310i	−0.270570	−	0.196581i
$171$	−1.11064	−	0.806929i	−0.0849329	−	0.0617074i
$172$	−0.737023	+	2.26832i	−0.0561975	+	0.172958i
$173$	−2.11432	−	6.50720i	−0.160749	−	0.494734i	0.837949	−	0.545748i	$-0.183754\pi$
$173$	−2.11432	−	6.50720i	−0.160749	−	0.494734i	−0.998698	+	0.0510147i	$0.983754\pi$
$174$	−1.88351	+	1.36845i	−0.142789	+	0.103742i
$175$	−3.78339			−0.285997
$176$	−8.42445	+	8.16913i	−0.635017	+	0.615771i
$177$	−12.1634			−0.914260
$178$	8.50785	−	6.18132i	0.637690	−	0.463309i
$179$	4.79239	+	14.7494i	0.358200	+	1.10243i	0.954131	+	0.299390i	$0.0967831\pi$
$179$	4.79239	+	14.7494i	0.358200	+	1.10243i	−0.595931	+	0.803036i	$0.703217\pi$
$180$	−0.0646021	+	0.198825i	−0.00481516	+	0.0148195i
$181$	1.82916	+	1.32896i	0.135960	+	0.0987809i	0.653687	−	0.756765i	$-0.273221\pi$
$181$	1.82916	+	1.32896i	0.135960	+	0.0987809i	−0.517726	+	0.855546i	$0.673221\pi$
$182$	20.2104	+	14.6837i	1.49809	+	1.08843i
$183$	−2.65477	+	8.17055i	−0.196246	+	0.603984i
$184$	1.76676	+	5.43751i	0.130247	+	0.400859i
$185$	−3.80067	+	2.76135i	−0.279431	+	0.203018i
$186$	7.92482			0.581076
$187$	7.75831	−	7.52318i	0.567344	−	0.550149i
$188$	−0.168443			−0.0122850
$189$	−3.06082	+	2.22382i	−0.222642	+	0.161759i
$190$	0.567727	+	1.74728i	0.0411873	+	0.126761i
$191$	−5.49100	+	16.8996i	−0.397315	+	1.22281i	0.529829	+	0.848104i	$0.322256\pi$
$191$	−5.49100	+	16.8996i	−0.397315	+	1.22281i	−0.927144	+	0.374705i	$0.877744\pi$
$192$	6.99983	+	5.08568i	0.505170	+	0.367027i
$193$	−17.1155	−	12.4351i	−1.23200	−	0.895099i	−0.234960	−	0.972005i	$-0.575496\pi$
$193$	−17.1155	−	12.4351i	−1.23200	−	0.895099i	−0.997038	+	0.0769057i	$0.975496\pi$
$194$	−5.63233	+	17.3345i	−0.404378	+	1.24455i
$195$	−1.52468	−	4.69247i	−0.109184	−	0.336035i
$196$	1.23702	−	0.898750i	0.0883588	−	0.0641964i
$197$	−24.1034			−1.71730			−0.858650	−	0.512563i	$-0.828696\pi$
$197$	−24.1034			−1.71730			−0.858650	+	0.512563i	$0.828696\pi$
$198$	3.92327	+	2.07565i	0.278815	+	0.147510i
$199$	4.30369			0.305081			0.152540	−	0.988297i	$-0.451255\pi$
$199$	4.30369			0.305081			0.152540	+	0.988297i	$0.451255\pi$
$200$	2.39169	−	1.73767i	0.169118	−	0.122872i
$201$	0.857290	+	2.63847i	0.0604686	+	0.186103i
$202$	3.28290	−	10.1037i	0.230984	−	0.710895i
$203$	−5.32486	−	3.86874i	−0.373732	−	0.271532i
$204$	−0.551097	−	0.400395i	−0.0385845	−	0.0280333i
$205$	2.91637	−	8.97566i	0.203688	−	0.626887i
$206$	−5.04742	−	15.5344i	−0.351670	−	1.08233i
$207$	1.56460	−	1.13675i	0.108747	−	0.0790096i
$208$	−17.4572			−1.21044
$209$	−4.50753	+	0.643000i	−0.311792	+	0.0444772i
$210$	5.06316			0.349391
$211$	−12.3189	+	8.95021i	−0.848068	+	0.616158i	−0.924613	−	0.380909i	$-0.875611\pi$
$211$	−12.3189	+	8.95021i	−0.848068	+	0.616158i	0.0765445	+	0.997066i	$0.475611\pi$
$212$	−0.690983	−	2.12663i	−0.0474569	−	0.146057i
$213$	0.846608	−	2.60559i	0.0580086	−	0.178532i
$214$	−2.52845	−	1.83703i	−0.172842	−	0.125577i
$215$	−9.22979	−	6.70583i	−0.629466	−	0.457334i
$216$	0.913545	−	2.81160i	0.0621589	−	0.191305i
$217$	6.92327	+	21.3076i	0.469982	+	1.44646i
$218$	−6.92284	+	5.02974i	−0.468874	+	0.340657i
$219$	9.37717			0.633650
$220$	0.305239	+	0.622561i	0.0205792	+	0.0419731i
$221$	16.0768			1.08145
$222$	5.08629	−	3.69541i	0.341369	−	0.248019i
$223$	8.85179	+	27.2430i	0.592760	+	1.82433i	0.565576	+	0.824696i	$0.308654\pi$
$223$	8.85179	+	27.2430i	0.592760	+	1.82433i	0.0271832	+	0.999630i	$0.491346\pi$
$224$	−1.37674	+	4.23718i	−0.0919876	+	0.283109i
$225$	−0.809017	−	0.587785i	−0.0539345	−	0.0391857i
$226$	−19.6307	−	14.2625i	−1.30581	−	0.948729i
$227$	0.935109	−	2.87797i	0.0620654	−	0.191018i	−0.915216	−	0.402964i	$-0.867980\pi$
$227$	0.935109	−	2.87797i	0.0620654	−	0.191018i	0.977281	+	0.211946i	$0.0679801\pi$
$228$	0.0886877	+	0.272953i	0.00587349	+	0.0180767i
$229$	2.46948	−	1.79418i	0.163188	−	0.118563i	−0.503194	−	0.864173i	$-0.667842\pi$
$229$	2.46948	−	1.79418i	0.163188	−	0.118563i	0.666382	+	0.745610i	$0.267842\pi$
$230$	−2.58814			−0.170657
$231$	−2.15339	+	12.3619i	−0.141683	+	0.813354i
$232$	5.14301			0.337655
$233$	5.10436	−	3.70854i	0.334398	−	0.242954i	−0.407896	−	0.913028i	$-0.633738\pi$
$233$	5.10436	−	3.70854i	0.334398	−	0.242954i	0.742294	+	0.670074i	$0.233738\pi$
$234$	2.04041	+	6.27975i	0.133386	+	0.410520i
$235$	0.248983	−	0.766292i	0.0162419	−	0.0499874i
$236$	2.05721	+	1.49465i	0.133913	+	0.0972935i
$237$	10.3285	+	7.50407i	0.670906	+	0.487442i
$238$	−5.09811	+	15.6904i	−0.330462	+	1.01706i
$239$	−1.76482	−	5.43157i	−0.114157	−	0.351339i	0.877613	−	0.479369i	$-0.159135\pi$
$239$	−1.76482	−	5.43157i	−0.114157	−	0.351339i	−0.991770	+	0.128030i	$0.959135\pi$
$240$	−2.86245	+	2.07969i	−0.184770	+	0.134243i
$241$	4.81966			0.310462			0.155231	−	0.987878i	$-0.450388\pi$
$241$	4.81966			0.310462			0.155231	+	0.987878i	$0.450388\pi$
$242$	14.1337	−	4.11611i	0.908549	−	0.264594i
$243$	−1.00000			−0.0641500
$244$	1.45300	−	1.05567i	0.0930191	−	0.0675823i
$245$	2.26015	+	6.95604i	0.144396	+	0.444405i
$246$	−3.90286	+	12.0118i	−0.248837	+	0.765843i
$247$	−5.47986	−	3.98135i	−0.348675	−	0.253327i
$248$	−14.1630	−	10.2900i	−0.899348	−	0.653415i
$249$	1.05469	−	3.24600i	0.0668382	−	0.205707i
$250$	0.413545	+	1.27276i	0.0261549	+	0.0804965i
$251$	0.714381	−	0.519028i	0.0450913	−	0.0327608i	−0.565011	−	0.825083i	$-0.691128\pi$
$251$	0.714381	−	0.519028i	0.0450913	−	0.0327608i	0.610103	+	0.792322i	$0.291128\pi$
$252$	0.790943			0.0498247
$253$	1.10075	−	6.31905i	0.0692036	−	0.397275i
$254$	−29.8597			−1.87356
$255$	2.63611	−	1.91524i	0.165079	−	0.119937i
$256$	−1.53292	−	4.71784i	−0.0958075	−	0.294865i
$257$	2.66883	−	8.21381i	0.166477	−	0.512363i	−0.832665	−	0.553777i	$-0.813186\pi$
$257$	2.66883	−	8.21381i	0.166477	−	0.512363i	0.999142	+	0.0414134i	$0.0131861\pi$
$258$	12.3519	+	8.97416i	0.768994	+	0.558707i
$259$	14.3794	+	10.4472i	0.893493	+	0.649160i
$260$	−0.318744	+	0.980993i	−0.0197677	+	0.0608386i
$261$	−0.537591	−	1.65454i	−0.0332761	−	0.102413i
$262$	0.608574	−	0.442155i	0.0375978	−	0.0273164i
$263$	−4.73594			−0.292031			−0.146015	−	0.989282i	$-0.546645\pi$
$263$	−4.73594			−0.292031			−0.146015	+	0.989282i	$0.546645\pi$
$264$	−4.31641	−	8.80370i	−0.265657	−	0.541830i
$265$	10.6960			0.657049
$266$	5.62336	−	4.08561i	0.344790	−	0.250505i
$267$	2.42831	+	7.47356i	0.148610	+	0.457375i
$268$	0.179222	−	0.551590i	0.0109478	−	0.0336937i
$269$	11.5424	+	8.38606i	0.703754	+	0.511307i	0.881153	−	0.472832i	$-0.156768\pi$
$269$	11.5424	+	8.38606i	0.703754	+	0.511307i	−0.177399	+	0.984139i	$0.556768\pi$
$270$	1.08268	+	0.786610i	0.0658896	+	0.0478716i
$271$	7.08783	−	21.8141i	0.430555	−	1.32511i	−0.467018	−	0.884248i	$-0.654672\pi$
$271$	7.08783	−	21.8141i	0.430555	−	1.32511i	0.897573	−	0.440865i	$-0.145328\pi$
$272$	−3.56261	−	10.9646i	−0.216015	−	0.664825i
$273$	−15.1020	+	10.9722i	−0.914013	+	0.664069i
$274$	−24.4526			−1.47723
$275$	−3.28339	+	0.468375i	−0.197996	+	0.0282441i
$276$	−0.404307			−0.0243364
$277$	4.71093	−	3.42269i	0.283052	−	0.205649i	−0.437195	−	0.899367i	$-0.644028\pi$
$277$	4.71093	−	3.42269i	0.283052	−	0.205649i	0.720248	+	0.693717i	$0.244028\pi$
$278$	5.89715	+	18.1496i	0.353688	+	1.08854i
$279$	−1.82991	+	5.63190i	−0.109554	+	0.337173i
$280$	−9.04870	−	6.57426i	−0.540763	−	0.392887i
$281$	0.127494	+	0.0926297i	0.00760564	+	0.00552582i	0.591582	−	0.806245i	$-0.298504\pi$
$281$	0.127494	+	0.0926297i	0.00760564	+	0.00552582i	−0.583976	+	0.811771i	$0.698504\pi$
$282$	−0.333205	+	1.02550i	−0.0198420	+	0.0610675i
$283$	−2.76436	−	8.50782i	−0.164324	−	0.505737i	0.834662	−	0.550763i	$-0.185663\pi$
$283$	−2.76436	−	8.50782i	−0.164324	−	0.505737i	−0.998986	+	0.0450255i	$0.985663\pi$
$284$	−0.463364	+	0.336654i	−0.0274956	+	0.0199767i
$285$	−1.37283			−0.0813194
$286$	19.3572	+	10.2411i	1.14462	+	0.605572i
$287$	−35.7060			−2.10766
$288$	−0.952682	+	0.692164i	−0.0561373	+	0.0407861i
$289$	−1.97239	−	6.07038i	−0.116023	−	0.357081i
$290$	−0.719437	+	2.21420i	−0.0422468	+	0.130022i
$291$	−11.0185	−	8.00541i	−0.645916	−	0.469285i
$292$	−1.58597	−	1.15227i	−0.0928117	−	0.0674316i
$293$	8.03069	−	24.7159i	0.469158	−	1.44392i	−0.384520	−	0.923117i	$-0.625633\pi$
$293$	8.03069	−	24.7159i	0.469158	−	1.44392i	0.853677	−	0.520802i	$-0.174367\pi$
$294$	−3.02468	−	9.30899i	−0.176403	−	0.542912i
$295$	−9.84043	+	7.14949i	−0.572932	+	0.416260i
$296$	−13.8883			−0.807243
$297$	−2.38101	+	2.30885i	−0.138160	+	0.133973i
$298$	14.1908			0.822050
$299$	7.71968	−	5.60867i	0.446440	−	0.324358i
$300$	0.0646021	+	0.198825i	0.00372981	+	0.0114792i
$301$	−13.3382	+	41.0508i	−0.768801	+	2.36613i
$302$	−13.6129	−	9.89033i	−0.783333	−	0.569124i
$303$	6.42232	+	4.66609i	0.368952	+	0.268060i
$304$	−1.50099	+	4.61958i	−0.0860879	+	0.264951i
$305$	2.65477	+	8.17055i	0.152012	+	0.467844i
$306$	−3.52780	+	2.56310i	−0.201671	+	0.146523i
$307$	4.72359			0.269590			0.134795	−	0.990874i	$-0.456962\pi$
$307$	4.72359			0.269590			0.134795	+	0.990874i	$0.456962\pi$
$308$	1.88324	−	1.82617i	0.107308	−	0.104056i
$309$	12.2052			0.694332
$310$	6.41131	−	4.65809i	0.364138	−	0.264562i
$311$	−5.94910	−	18.3095i	−0.337343	−	1.03823i	−0.965557	−	0.260193i	$-0.916214\pi$
$311$	−5.94910	−	18.3095i	−0.337343	−	1.03823i	0.628214	−	0.778041i	$-0.283786\pi$
$312$	4.50739	−	13.8723i	0.255181	−	0.785366i
$313$	−2.38131	−	1.73012i	−0.134600	−	0.0977924i	0.518448	−	0.855109i	$-0.326510\pi$
$313$	−2.38131	−	1.73012i	−0.134600	−	0.0977924i	−0.653048	+	0.757317i	$0.726510\pi$
$314$	13.5694	+	9.85873i	0.765764	+	0.556360i
$315$	−1.16913	+	3.59821i	−0.0658730	+	0.202736i
$316$	−0.824756	−	2.53834i	−0.0463961	−	0.142793i
$317$	−1.47811	+	1.07391i	−0.0830191	+	0.0603169i	−0.628521	−	0.777793i	$-0.716339\pi$
$317$	−1.47811	+	1.07391i	−0.0830191	+	0.0603169i	0.545501	+	0.838110i	$0.316339\pi$
$318$	−14.3140			−0.802690
$319$	−5.10008	−	2.69825i	−0.285550	−	0.151073i
$320$	8.65227			0.483677
$321$	1.88936	−	1.37270i	0.105454	−	0.0766166i
$322$	3.02587	+	9.31267i	0.168625	+	0.518975i
$323$	1.38231	−	4.25430i	0.0769136	−	0.236716i
$324$	0.169131	+	0.122881i	0.00939614	+	0.00682670i
$325$	−3.99165	−	2.90011i	−0.221417	−	0.160869i
$326$	−1.28330	+	3.94960i	−0.0710755	+	0.218748i
$327$	−1.97591	−	6.08124i	−0.109268	−	0.336293i
$328$	22.5718	−	16.3993i	1.24632	−	0.905502i
$329$	−3.04838			−0.168062
$330$	4.39403	−	0.626809i	0.241883	−	0.0345047i
$331$	17.3017			0.950985			0.475493	−	0.879720i	$-0.342270\pi$
$331$	17.3017			0.950985			0.475493	+	0.879720i	$0.342270\pi$
$332$	−0.577250	+	0.419397i	−0.0316807	+	0.0230174i
$333$	1.45173	+	4.46796i	0.0795541	+	0.244842i
$334$	−3.45268	+	10.6263i	−0.188922	+	0.581443i
$335$	2.24441	+	1.63066i	0.122625	+	0.0890926i
$336$	10.8297	+	7.86827i	0.590811	+	0.429250i
$337$	−3.34031	+	10.2804i	−0.181958	+	0.560010i	−0.999883	−	0.0153159i	$-0.995125\pi$
$337$	−3.34031	+	10.2804i	−0.181958	+	0.560010i	0.817925	+	0.575326i	$0.195125\pi$
$338$	4.69122	+	14.4381i	0.255169	+	0.785329i
$339$	14.6688	−	10.6575i	0.796700	−	0.578836i
$340$	−0.681193			−0.0369429
$341$	8.64616	+	17.6346i	0.468216	+	0.954967i
$342$	1.83720			0.0993446
$343$	0.961131	−	0.698302i	0.0518962	−	0.0377048i
$344$	−10.4223	−	32.0766i	−0.561934	−	1.72945i
$345$	0.597625	−	1.83930i	0.0321750	−	0.0990246i
$346$	7.40775	+	5.38205i	0.398243	+	0.289341i
$347$	12.2876	+	8.92746i	0.659632	+	0.479251i	0.866539	−	0.499110i	$-0.166340\pi$
$347$	12.2876	+	8.92746i	0.659632	+	0.479251i	−0.206906	+	0.978361i	$0.566340\pi$
$348$	−0.112387	+	0.345892i	−0.00602458	+	0.0185418i
$349$	1.17285	+	3.60965i	0.0627810	+	0.193220i	0.977527	−	0.210808i	$-0.0676096\pi$
$349$	1.17285	+	3.60965i	0.0627810	+	0.193220i	−0.914746	+	0.404029i	$0.867610\pi$
$350$	4.09618	−	2.97605i	0.218950	−	0.159077i
$351$	−4.93395			−0.263355
$352$	−0.670244	+	3.84765i	−0.0357241	+	0.205080i
$353$	0.519577			0.0276543			0.0138272	−	0.999904i	$-0.495599\pi$
$353$	0.519577			0.0276543			0.0138272	+	0.999904i	$0.495599\pi$
$354$	13.1691	−	9.56789i	0.699928	−	0.508527i
$355$	−0.846608	−	2.60559i	−0.0449333	−	0.138290i
$356$	0.507655	−	1.56240i	0.0269056	−	0.0828070i
$357$	−9.97341	−	7.24611i	−0.527849	−	0.383505i
$358$	−16.7907	−	12.1991i	−0.887414	−	0.644744i
$359$	−4.27599	+	13.1602i	−0.225678	+	0.694567i	0.772544	+	0.634962i	$0.218984\pi$
$359$	−4.27599	+	13.1602i	−0.225678	+	0.694567i	−0.998222	+	0.0596049i	$0.981016\pi$
$360$	−0.913545	−	2.81160i	−0.0481481	−	0.148185i
$361$	13.8466	−	10.0601i	0.728768	−	0.529481i
$362$	−3.02576			−0.159030
$363$	−0.338426	+	10.9948i	−0.0177628	+	0.577077i
$364$	3.90248			0.204545
$365$	7.58629	−	5.51176i	0.397085	−	0.288499i
$366$	−3.55278	−	10.9343i	−0.185707	−	0.571546i
$367$	−6.37254	+	19.6127i	−0.332644	+	1.02377i	0.635227	+	0.772325i	$0.280907\pi$
$367$	−6.37254	+	19.6127i	−0.332644	+	1.02377i	−0.967871	+	0.251447i	$0.919093\pi$
$368$	−5.53585	−	4.02203i	−0.288576	−	0.209663i
$369$	−7.63515	−	5.54726i	−0.397470	−	0.288779i
$370$	1.94279	−	5.97929i	0.101001	−	0.310849i
$371$	−12.5050	−	38.4864i	−0.649227	−	1.99811i
$372$	1.00155	−	0.727665i	0.0519277	−	0.0377277i
$373$	8.17818			0.423450			0.211725	−	0.977329i	$-0.432092\pi$
$373$	8.17818			0.423450			0.211725	+	0.977329i	$0.432092\pi$
$374$	−2.48193	+	14.2479i	−0.128337	+	0.736743i
$375$	−1.00000			−0.0516398
$376$	1.92705	−	1.40008i	0.0993801	−	0.0722038i
$377$	−2.65245	−	8.16340i	−0.136608	−	0.420437i
$378$	1.56460	−	4.81535i	0.0804745	−	0.247675i
$379$	−21.5184	−	15.6340i	−1.10532	−	0.803065i	−0.123403	−	0.992357i	$-0.539381\pi$
$379$	−21.5184	−	15.6340i	−1.10532	−	0.803065i	−0.981921	+	0.189291i	$0.939381\pi$
$380$	0.232187	+	0.168694i	0.0119110	+	0.00865382i
$381$	6.89488	−	21.2203i	0.353235	−	1.08715i
$382$	−7.34839	−	22.6160i	−0.375976	−	1.15714i
$383$	11.7799	−	8.55858i	0.601923	−	0.437323i	−0.244638	−	0.969615i	$-0.578669\pi$
$383$	11.7799	−	8.55858i	0.601923	−	0.437323i	0.846561	+	0.532292i	$0.178669\pi$
$384$	−9.22384			−0.470702
$385$	5.52402	+	11.2667i	0.281530	+	0.574206i
$386$	28.3121			1.44105
$387$	−9.22979	+	6.70583i	−0.469177	+	0.340877i
$388$	0.879856	+	2.70792i	0.0446679	+	0.137474i
$389$	−1.22034	+	3.75583i	−0.0618738	+	0.190428i	−0.977215	−	0.212250i	$-0.931921\pi$
$389$	−1.22034	+	3.75583i	−0.0618738	+	0.190428i	0.915341	+	0.402679i	$0.131921\pi$
$390$	5.34187	+	3.88110i	0.270496	+	0.196527i
$391$	5.09811	+	3.70400i	0.257823	+	0.187319i
$392$	−6.68168	+	20.5641i	−0.337476	+	1.03864i
$393$	0.173699	+	0.534591i	0.00876196	+	0.0269665i
$394$	26.0962	−	18.9600i	1.31471	−	0.955192i
$395$	12.7667			0.642362
$396$	0.686415	−	0.0979171i	0.0344936	−	0.00492052i
$397$	−18.0162			−0.904209			−0.452105	−	0.891965i	$-0.649327\pi$
$397$	−18.0162			−0.904209			−0.452105	+	0.891965i	$0.649327\pi$
$398$	−4.65951	+	3.38533i	−0.233560	+	0.169691i
$399$	1.60502	+	4.93973i	0.0803513	+	0.247296i
$400$	−1.09336	+	3.36501i	−0.0546679	+	0.168251i
$401$	21.6653	+	15.7408i	1.08191	+	0.786056i	0.978015	−	0.208532i	$-0.0668686\pi$
$401$	21.6653	+	15.7408i	1.08191	+	0.786056i	0.103897	+	0.994588i	$0.466869\pi$
$402$	−3.00361	−	2.18225i	−0.149807	−	0.108841i
$403$	−9.02871	+	27.7875i	−0.449752	+	1.38420i
$404$	−0.512839	−	1.57836i	−0.0255147	−	0.0785262i
$405$	−0.809017	+	0.587785i	−0.0402004	+	0.0292073i
$406$	8.80828			0.437148
$407$	13.7724	+	7.28643i	0.682673	+	0.361175i
$408$	9.63282			0.476896
$409$	−23.0823	+	16.7703i	−1.14135	+	0.829236i	−0.987306	−	0.158829i	$-0.949228\pi$
$409$	−23.0823	+	16.7703i	−1.14135	+	0.829236i	−0.154039	+	0.988065i	$0.549228\pi$
$410$	3.90286	+	12.0118i	0.192749	+	0.593219i
$411$	5.64632	−	17.3776i	0.278513	−	0.857174i
$412$	−2.06428	−	1.49979i	−0.101700	−	0.0738892i
$413$	37.2302	+	27.0493i	1.83198	+	1.33101i
$414$	−0.799778	+	2.46146i	−0.0393070	+	0.120974i
$415$	−1.05469	−	3.24600i	−0.0517726	−	0.159340i
$416$	−4.70049	+	3.41511i	−0.230460	+	0.167439i
$417$	−14.2600			−0.698315
$418$	4.37440	−	4.24183i	0.213959	−	0.207475i
$419$	14.7459			0.720386			0.360193	−	0.932878i	$-0.382711\pi$
$419$	14.7459			0.720386			0.360193	+	0.932878i	$0.382711\pi$
$420$	0.639886	−	0.464905i	0.0312233	−	0.0226850i
$421$	5.96507	+	18.3586i	0.290720	+	0.894743i	0.984626	+	0.174677i	$0.0558883\pi$
$421$	5.96507	+	18.3586i	0.290720	+	0.894743i	−0.693906	+	0.720065i	$0.744112\pi$
$422$	6.29706	−	19.3803i	0.306536	−	0.943421i
$423$	−0.651847	−	0.473594i	−0.0316939	−	0.0230269i
$424$	25.5815	+	18.5860i	1.24235	+	0.902618i
$425$	1.00690	−	3.09893i	0.0488420	−	0.150320i
$426$	1.13298	+	3.48696i	0.0548932	+	0.168944i
$427$	26.2956	−	19.1049i	1.27253	−	0.924550i
$428$	−0.488226			−0.0235993
$429$	−11.7478	+	11.3918i	−0.567189	+	0.549999i
$430$	15.2677			0.736276
$431$	8.49224	−	6.16998i	0.409057	−	0.297197i	−0.364163	−	0.931335i	$-0.618645\pi$
$431$	8.49224	−	6.16998i	0.409057	−	0.297197i	0.773220	+	0.634138i	$0.218645\pi$
$432$	1.09336	+	3.36501i	0.0526042	+	0.161899i
$433$	7.14932	−	22.0034i	0.343575	−	1.05741i	−0.618768	−	0.785574i	$-0.712368\pi$
$433$	7.14932	−	22.0034i	0.343575	−	1.05741i	0.962342	−	0.271840i	$-0.0876322\pi$
$434$	−24.2565	−	17.6234i	−1.16435	−	0.845948i
$435$	−1.40743	−	1.02256i	−0.0674812	−	0.0490280i
$436$	−0.413079	+	1.27133i	−0.0197829	+	0.0608854i
$437$	−0.820437	−	2.52504i	−0.0392468	−	0.120789i
$438$	−10.1524	+	7.37618i	−0.485102	+	0.352447i
$439$	−25.2313			−1.20422			−0.602111	−	0.798412i	$-0.705674\pi$
$439$	−25.2313			−1.20422			−0.602111	+	0.798412i	$0.705674\pi$
$440$	−8.66673	−	4.58522i	−0.413170	−	0.218592i
$441$	7.31401			0.348286
$442$	−17.4060	+	12.6462i	−0.827919	+	0.601519i
$443$	2.06592	+	6.35825i	0.0981549	+	0.302090i	0.988063	−	0.154050i	$-0.0492317\pi$
$443$	2.06592	+	6.35825i	0.0981549	+	0.302090i	−0.889908	+	0.456140i	$0.849232\pi$
$444$	0.303494	−	0.934057i	0.0144032	−	0.0443284i
$445$	6.35739	+	4.61892i	0.301369	+	0.218958i
$446$	−31.0132	−	22.5324i	−1.46852	−	1.06694i
$447$	−3.27678	+	10.0849i	−0.154987	+	0.477000i
$448$	−10.1156	−	31.1327i	−0.477919	−	1.47088i
$449$	10.6110	−	7.70932i	0.500762	−	0.363825i	−0.308546	−	0.951210i	$-0.599842\pi$
$449$	10.6110	−	7.70932i	0.500762	−	0.363825i	0.809308	+	0.587384i	$0.199842\pi$
$450$	1.33826			0.0630862
$451$	−30.9872	+	4.42033i	−1.45913	+	0.208145i
$452$	−3.79054			−0.178292
$453$	10.1721	−	7.39043i	0.477925	−	0.347233i
$454$	1.25142	+	3.85148i	0.0587321	+	0.180759i
$455$	−5.76844	+	17.7534i	−0.270429	+	0.832293i
$456$	−3.28339	−	2.38552i	−0.153759	−	0.111712i
$457$	−28.4188	−	20.6475i	−1.32938	−	0.965848i	−0.999764	−	0.0217311i	$-0.993082\pi$
$457$	−28.4188	−	20.6475i	−1.32938	−	0.965848i	−0.329611	−	0.944117i	$-0.606918\pi$
$458$	−1.26232	+	3.88503i	−0.0589845	+	0.181536i
$459$	−1.00690	−	3.09893i	−0.0469982	−	0.144646i
$460$	−0.327091	+	0.237645i	−0.0152507	+	0.0110803i
$461$	30.4370			1.41759			0.708797	−	0.705413i	$-0.249238\pi$
$461$	30.4370			1.41759			0.708797	+	0.705413i	$0.249238\pi$
$462$	−7.39259	−	15.0778i	−0.343934	−	0.701484i
$463$	−10.0870			−0.468783			−0.234392	−	0.972142i	$-0.575310\pi$
$463$	−10.0870			−0.468783			−0.234392	+	0.972142i	$0.575310\pi$
$464$	−4.97975	+	3.61800i	−0.231179	+	0.167961i
$465$	1.82991	+	5.63190i	0.0848602	+	0.261173i
$466$	−2.60920	+	8.03029i	−0.120869	+	0.371996i
$467$	−13.7953	−	10.0229i	−0.638372	−	0.463805i	0.220918	−	0.975292i	$-0.429095\pi$
$467$	−13.7953	−	10.0229i	−0.638372	−	0.463805i	−0.859291	+	0.511488i	$0.829095\pi$
$468$	0.834483	+	0.606287i	0.0385740	+	0.0280256i
$469$	3.24346	−	9.98234i	0.149769	−	0.460942i
$470$	0.333205	+	1.02550i	0.0153696	+	0.0473027i
$471$	−10.1396	+	7.36682i	−0.467206	+	0.339445i
$472$	−35.9587			−1.65513
$473$	−6.49347	+	37.2769i	−0.298570	+	1.71399i
$474$	−17.0852			−0.784748
$475$	−1.11064	+	0.806929i	−0.0509598	+	0.0370244i
$476$	0.796403	+	2.45108i	0.0365031	+	0.112345i
$477$	3.30524	−	10.1725i	0.151336	−	0.465766i
$478$	6.18326	+	4.49240i	0.282816	+	0.205478i
$479$	−7.22315	−	5.24793i	−0.330034	−	0.239784i	0.410411	−	0.911901i	$-0.365385\pi$
$479$	−7.22315	−	5.24793i	−0.330034	−	0.239784i	−0.740445	+	0.672117i	$0.765385\pi$
$480$	−0.363892	+	1.11994i	−0.0166093	+	0.0511182i
$481$	7.16275	+	22.0447i	0.326593	+	1.00515i
$482$	−5.21813	+	3.79119i	−0.237679	+	0.172684i
$483$	−7.31690			−0.332930
$484$	1.40828	−	1.81797i	0.0640129	−	0.0826350i
$485$	−13.6196			−0.618435
$486$	1.08268	−	0.786610i	0.0491112	−	0.0356814i
$487$	10.3409	+	31.8260i	0.468591	+	1.44217i	0.854410	+	0.519600i	$0.173919\pi$
$487$	10.3409	+	31.8260i	0.468591	+	1.44217i	−0.385819	+	0.922575i	$0.626081\pi$
$488$	−7.84829	+	24.1546i	−0.355275	+	1.09343i
$489$	−2.51052	−	1.82400i	−0.113530	−	0.0824840i
$490$	−7.91870	−	5.75328i	−0.357731	−	0.259906i
$491$	2.80345	−	8.62815i	0.126518	−	0.389383i	−0.867656	−	0.497164i	$-0.834375\pi$
$491$	2.80345	−	8.62815i	0.126518	−	0.389383i	0.994175	+	0.107781i	$0.0343747\pi$
$492$	0.609687	+	1.87642i	0.0274868	+	0.0845957i
$493$	4.58599	−	3.33192i	0.206542	−	0.150062i
$494$	9.06468			0.407839
$495$	−0.569171	+	3.26742i	−0.0255823	+	0.146860i
$496$	20.9521			0.940779
$497$	−8.38568	+	6.09255i	−0.376149	+	0.273288i
$498$	1.41145	+	4.34399i	0.0632485	+	0.194659i
$499$	12.0756	−	37.1650i	0.540580	−	1.66373i	−0.190693	−	0.981650i	$-0.561073\pi$
$499$	12.0756	−	37.1650i	0.540580	−	1.66373i	0.731273	−	0.682085i	$-0.238927\pi$
$500$	0.169131	+	0.122881i	0.00756375	+	0.00549539i
$501$	−6.75446	−	4.90741i	−0.301767	−	0.219247i
$502$	−0.365170	+	1.12388i	−0.0162983	+	0.0501611i
$503$	7.09143	+	21.8252i	0.316191	+	0.973136i	0.975261	+	0.221055i	$0.0709500\pi$
$503$	7.09143	+	21.8252i	0.316191	+	0.973136i	−0.659070	+	0.752081i	$0.729050\pi$
$504$	−9.04870	+	6.57426i	−0.403061	+	0.292841i
$505$	7.93842			0.353255
$506$	3.77887	+	7.70734i	0.167991	+	0.342633i
$507$	−11.3439			−0.503801
$508$	−3.77369	+	2.74175i	−0.167431	+	0.121645i
$509$	12.3804	+	38.1028i	0.548750	+	1.68888i	0.711904	+	0.702277i	$0.247833\pi$
$509$	12.3804	+	38.1028i	0.548750	+	1.68888i	−0.163154	+	0.986601i	$0.552167\pi$
$510$	−1.34750	+	4.14718i	−0.0596683	+	0.183640i
$511$	−28.7019	−	20.8531i	−1.26970	−	0.922488i
$512$	20.2952	+	14.7454i	0.896932	+	0.651659i
$513$	−0.424228	+	1.30564i	−0.0187301	+	0.0576453i
$514$	3.57159	+	10.9922i	0.157536	+	0.484846i
$515$	9.87424	−	7.17406i	0.435111	−	0.316127i
$516$	2.38506			0.104996
$517$	−2.64551	+	0.377383i	−0.116349	+	0.0165973i
$518$	−23.7861			−1.04510
$519$	−5.53536	+	4.02167i	−0.242975	+	0.176532i
$520$	−4.50739	−	13.8723i	−0.197662	−	0.608342i
$521$	−9.38520	+	28.8847i	−0.411173	+	1.26546i	0.504456	+	0.863437i	$0.331693\pi$
$521$	−9.38520	+	28.8847i	−0.411173	+	1.26546i	−0.915629	+	0.402024i	$0.868307\pi$
$522$	1.88351	+	1.36845i	0.0824391	+	0.0598955i
$523$	−15.3995	−	11.1884i	−0.673375	−	0.489236i	0.197778	−	0.980247i	$-0.436627\pi$
$523$	−15.3995	−	11.1884i	−0.673375	−	0.489236i	−0.871153	+	0.491011i	$0.836627\pi$
$524$	0.0363130	−	0.111760i	0.00158634	−	0.00488225i
$525$	1.16913	+	3.59821i	0.0510250	+	0.157039i
$526$	5.12749	−	3.72534i	0.223569	−	0.162433i
$527$	−19.2954			−0.840521
$528$	10.3726	+	5.48773i	0.451410	+	0.238823i
$529$	−19.2598			−0.837383
$530$	−11.5803	+	8.41356i	−0.503015	+	0.365462i
$531$	3.75871	+	11.5681i	0.163114	+	0.502014i
$532$	0.335540	−	1.03269i	0.0145475	−	0.0447726i
$533$	−37.6715	−	27.3699i	−1.63173	−	1.18552i
$534$	−8.50785	−	6.18132i	−0.368171	−	0.267492i
$535$	0.721670	−	2.22107i	0.0312005	−	0.0960254i
$536$	2.53440	+	7.80009i	0.109470	+	0.336913i
$537$	12.5466	−	9.11566i	0.541427	−	0.393370i
$538$	−19.0933			−0.823169
$539$	17.4147	−	16.8870i	0.750106	−	0.727372i
$540$	0.209057			0.00899638
$541$	9.40339	−	6.83196i	0.404283	−	0.293729i	−0.367000	−	0.930221i	$-0.619615\pi$
$541$	9.40339	−	6.83196i	0.404283	−	0.293729i	0.771283	+	0.636492i	$0.219615\pi$
$542$	9.48537	+	29.1930i	0.407432	+	1.25395i
$543$	0.698677	−	2.15031i	0.0299831	−	0.0922784i
$544$	−3.10423	−	2.25535i	−0.133093	−	0.0966975i
$545$	−5.17301	−	3.75841i	−0.221587	−	0.160993i
$546$	7.71968	−	23.7587i	0.330372	−	1.01678i
$547$	4.21860	+	12.9835i	0.180374	+	0.555135i	0.999838	−	0.0179962i	$-0.00572866\pi$
$547$	4.21860	+	12.9835i	0.180374	+	0.555135i	−0.819464	+	0.573131i	$0.805729\pi$
$548$	−3.09034	+	2.24526i	−0.132013	+	0.0959127i
$549$	8.59102			0.366656
$550$	3.18641	−	3.08984i	0.135869	−	0.131751i
$551$	−2.38829			−0.101744
$552$	4.62543	−	3.36057i	0.196871	−	0.143035i
$553$	−14.9259	−	45.9373i	−0.634715	−	1.95345i
$554$	−2.40809	+	7.41132i	−0.102310	+	0.314877i
$555$	3.80067	+	2.76135i	0.161329	+	0.117213i
$556$	2.41180	+	1.75228i	0.102283	+	0.0743130i
$557$	1.73721	−	5.34658i	0.0736079	−	0.226542i	−0.907483	−	0.420088i	$-0.861999\pi$
$557$	1.73721	−	5.34658i	0.0736079	−	0.226542i	0.981091	+	0.193547i	$0.0619990\pi$
$558$	−2.44890	−	7.53695i	−0.103670	−	0.319065i
$559$	−45.5394	+	33.0863i	−1.92611	+	1.39940i
$560$	13.3863			0.565675
$561$	−9.55241	−	5.05380i	−0.403303	−	0.213372i
$562$	−0.210898			−0.00889619
$563$	21.0744	−	15.3115i	0.888181	−	0.645302i	−0.0472218	−	0.998884i	$-0.515037\pi$
$563$	21.0744	−	15.3115i	0.888181	−	0.645302i	0.935403	+	0.353583i	$0.115037\pi$
$564$	0.0520517	+	0.160199i	0.00219177	+	0.00674558i
$565$	5.60298	−	17.2442i	0.235719	−	0.725469i
$566$	9.68524	+	7.03674i	0.407101	+	0.295776i
$567$	3.06082	+	2.22382i	0.128543	+	0.0933916i
$568$	2.50282	−	7.70290i	0.105016	−	0.323206i
$569$	−8.88198	−	27.3359i	−0.372352	−	1.14598i	−0.945248	−	0.326353i	$-0.894180\pi$
$569$	−8.88198	−	27.3359i	−0.372352	−	1.14598i	0.572896	−	0.819628i	$-0.305820\pi$
$570$	1.48633	−	1.07988i	0.0622555	−	0.0452313i
$571$	17.8096			0.745310			0.372655	−	0.927970i	$-0.378448\pi$
$571$	17.8096			0.745310			0.372655	+	0.927970i	$0.378448\pi$
$572$	3.38674	−	0.483119i	0.141607	−	0.0202002i
$573$	17.7692			0.742321
$574$	38.6580	−	28.0867i	1.61355	−	1.17232i
$575$	−0.597625	−	1.83930i	−0.0249227	−	0.0767041i
$576$	2.67370	−	8.22880i	0.111404	−	0.342867i
$577$	13.2206	+	9.60533i	0.550381	+	0.399875i	0.827926	−	0.560838i	$-0.189521\pi$
$577$	13.2206	+	9.60533i	0.550381	+	0.399875i	−0.277545	+	0.960713i	$0.589521\pi$
$578$	6.91048	+	5.02075i	0.287438	+	0.208836i
$579$	−6.53753	+	20.1204i	−0.271690	+	0.836177i
$580$	0.112387	+	0.345892i	0.00466662	+	0.0143624i
$581$	−10.4467	+	7.58999i	−0.433403	+	0.314886i
$582$	18.2266			0.755517
$583$	−15.6169	−	31.8521i	−0.646786	−	1.31918i
$584$	27.7217			1.14713
$585$	−3.99165	+	2.90011i	−0.165035	+	0.119905i
$586$	10.7472	+	33.0763i	0.443961	+	1.36637i
$587$	3.73026	−	11.4805i	0.153964	−	0.473853i	−0.844090	−	0.536201i	$-0.819859\pi$
$587$	3.73026	−	11.4805i	0.153964	−	0.473853i	0.998054	+	0.0623481i	$0.0198589\pi$
$588$	−1.23702	−	0.898750i	−0.0510140	−	0.0370638i
$589$	6.57692	+	4.77841i	0.270997	+	0.196891i
$590$	5.03014	−	15.4812i	0.207087	−	0.637350i
$591$	7.44837	+	22.9237i	0.306385	+	0.942957i
$592$	13.4475	−	9.77015i	0.552687	−	0.401551i
$593$	28.5085			1.17071			0.585353	−	0.810779i	$-0.300956\pi$
$593$	28.5085			1.17071			0.585353	+	0.810779i	$0.300956\pi$
$594$	0.761699	−	4.37266i	0.0312529	−	0.179413i
$595$	−12.3278			−0.505391
$596$	1.79344	−	1.30301i	0.0734623	−	0.0533735i
$597$	−1.32991	−	4.09306i	−0.0544298	−	0.167518i
$598$	−3.94607	+	12.1448i	−0.161367	+	0.496636i
$599$	1.34345	+	0.976077i	0.0548921	+	0.0398814i	0.614893	−	0.788611i	$-0.289199\pi$
$599$	1.34345	+	0.976077i	0.0548921	+	0.0398814i	−0.560001	+	0.828492i	$0.689199\pi$
$600$	−2.39169	−	1.73767i	−0.0976405	−	0.0709399i
$601$	−3.56042	+	10.9578i	−0.145233	+	0.446980i	−0.997041	−	0.0768738i	$-0.975506\pi$
$601$	−3.56042	+	10.9578i	−0.145233	+	0.446980i	0.851808	+	0.523854i	$0.175506\pi$
$602$	−17.8500	−	54.9366i	−0.727511	−	2.23905i
$603$	2.24441	−	1.63066i	0.0913996	−	0.0664057i
$604$	−2.62855			−0.106954
$605$	6.18878	+	9.09390i	0.251610	+	0.369719i
$606$	−10.6237			−0.431558
$607$	6.77227	−	4.92034i	0.274878	−	0.199711i	−0.441802	−	0.897112i	$-0.645661\pi$
$607$	6.77227	−	4.92034i	0.274878	−	0.199711i	0.716680	+	0.697402i	$0.245661\pi$
$608$	0.499562	+	1.53749i	0.0202599	+	0.0623536i
$609$	−2.03391	+	6.25975i	−0.0824184	+	0.253658i
$610$	−9.30129	−	6.75779i	−0.376598	−	0.273615i
$611$	−3.21618	−	2.33669i	−0.130113	−	0.0945325i
$612$	−0.210500	+	0.647853i	−0.00850897	+	0.0261879i
$613$	−6.55379	−	20.1705i	−0.264705	−	0.814679i	−0.991761	−	0.128101i	$-0.959112\pi$
$613$	−6.55379	−	20.1705i	−0.264705	−	0.814679i	0.727056	−	0.686578i	$-0.240888\pi$
$614$	−5.11412	+	3.71562i	−0.206389	+	0.149950i
$615$	−9.43757			−0.380559
$616$	−6.36606	+	36.5455i	−0.256496	+	1.47246i
$617$	19.6085			0.789408			0.394704	−	0.918808i	$-0.370847\pi$
$617$	19.6085			0.789408			0.394704	+	0.918808i	$0.370847\pi$
$618$	−13.2143	+	9.60076i	−0.531558	+	0.386199i
$619$	8.27505	+	25.4680i	0.332602	+	1.02365i	0.967891	+	0.251370i	$0.0808812\pi$
$619$	8.27505	+	25.4680i	0.332602	+	1.02365i	−0.635289	+	0.772275i	$0.719119\pi$
$620$	0.382556	−	1.17739i	0.0153638	−	0.0472850i
$621$	−1.56460	−	1.13675i	−0.0627853	−	0.0456162i
$622$	20.8434	+	15.1436i	0.835742	+	0.607202i
$623$	9.18723	−	28.2754i	0.368078	−	1.13283i
$624$	5.39458	+	16.6028i	0.215956	+	0.664644i
$625$	−0.809017	+	0.587785i	−0.0323607	+	0.0235114i
$626$	3.93912			0.157439
$627$	2.00443	+	4.08822i	0.0800493	+	0.163268i
$628$	2.62015			0.104555
$629$	−12.3841	+	8.99760i	−0.493788	+	0.358758i
$630$	−1.56460	−	4.81535i	−0.0623352	−	0.191848i
$631$	11.7850	−	36.2705i	0.469153	−	1.44390i	−0.384530	−	0.923112i	$-0.625637\pi$
$631$	11.7850	−	36.2705i	0.469153	−	1.44390i	0.853683	−	0.520792i	$-0.174363\pi$
$632$	30.5340	+	22.1843i	1.21458	+	0.882442i
$633$	12.3189	+	8.95021i	0.489632	+	0.355739i
$634$	0.755568	−	2.32540i	0.0300074	−	0.0923533i
$635$	−6.89488	−	21.2203i	−0.273615	−	0.842100i
$636$	−1.80902	+	1.31433i	−0.0717322	+	0.0521165i
$637$	36.0870			1.42982
$638$	7.64421	−	1.09045i	0.302637	−	0.0431712i
$639$	−2.73968			−0.108380
$640$	−7.46224	+	5.42164i	−0.294971	+	0.214309i
$641$	−9.46454	−	29.1289i	−0.373827	−	1.15052i	−0.944267	−	0.329181i	$-0.893227\pi$
$641$	−9.46454	−	29.1289i	−0.373827	−	1.15052i	0.570440	−	0.821339i	$-0.306773\pi$
$642$	−0.965784	+	2.97238i	−0.0381164	+	0.117310i
$643$	2.71064	+	1.96939i	0.106897	+	0.0776653i	0.639950	−	0.768417i	$-0.278955\pi$
$643$	2.71064	+	1.96939i	0.106897	+	0.0776653i	−0.533053	+	0.846082i	$0.678955\pi$
$644$	1.23751	+	0.899105i	0.0487648	+	0.0354297i
$645$	−3.52547	+	10.8503i	−0.138815	+	0.427229i
$646$	1.84989	+	5.69337i	0.0727828	+	0.224003i
$647$	19.8325	−	14.4091i	0.779694	−	0.566481i	−0.125193	−	0.992132i	$-0.539955\pi$
$647$	19.8325	−	14.4091i	0.779694	−	0.566481i	0.904887	+	0.425651i	$0.139955\pi$
$648$	−2.95630			−0.116134
$649$	35.6586	+	18.8655i	1.39972	+	0.740537i
$650$	6.60292			0.258988
$651$	18.1254	−	13.1688i	0.710389	−	0.516128i
$652$	0.200471	+	0.616988i	0.00785107	+	0.0241631i
$653$	−14.2662	+	43.9067i	−0.558278	+	1.71820i	0.128847	+	0.991664i	$0.458872\pi$
$653$	−14.2662	+	43.9067i	−0.558278	+	1.71820i	−0.687125	+	0.726539i	$0.741128\pi$
$654$	6.92284	+	5.02974i	0.270704	+	0.196678i
$655$	0.454750	+	0.330395i	0.0177685	+	0.0129096i
$656$	−10.3186	+	31.7575i	−0.402875	+	1.23992i
$657$	−2.89770	−	8.91822i	−0.113050	−	0.347933i
$658$	3.30040	−	2.39788i	0.128663	−	0.0934792i
$659$	−11.4010			−0.444122			−0.222061	−	0.975033i	$-0.571278\pi$
$659$	−11.4010			−0.444122			−0.222061	+	0.975033i	$0.571278\pi$
$660$	0.497767	−	0.482681i	0.0193755	−	0.0187883i
$661$	34.7413			1.35128			0.675641	−	0.737231i	$-0.263867\pi$
$661$	34.7413			1.35128			0.675641	+	0.737231i	$0.263867\pi$
$662$	−18.7321	+	13.6097i	−0.728043	+	0.528954i
$663$	−4.96802	−	15.2900i	−0.192942	−	0.593814i
$664$	3.11797	−	9.59613i	0.121001	−	0.372402i
$665$	4.20199	+	3.05292i	0.162946	+	0.118387i
$666$	−5.08629	−	3.69541i	−0.197090	−	0.143194i
$667$	1.03968	−	3.19980i	0.0402564	−	0.123897i
$668$	0.539362	+	1.65999i	0.0208685	+	0.0642268i
$669$	23.1743	−	16.8371i	0.895970	−	0.650960i
$670$	−3.71267			−0.143433
$671$	20.4553	−	19.8354i	0.789669	−	0.765736i
$672$	4.45524			0.171865
$673$	12.1482	−	8.82616i	0.468278	−	0.340224i	−0.328492	−	0.944507i	$-0.606540\pi$
$673$	12.1482	−	8.82616i	0.468278	−	0.340224i	0.796770	+	0.604283i	$0.206540\pi$
$674$	−4.47020	−	13.7579i	−0.172186	−	0.529934i
$675$	−0.309017	+	0.951057i	−0.0118941	+	0.0366062i
$676$	1.91860	+	1.39395i	0.0737924	+	0.0536133i
$677$	−19.9679	−	14.5075i	−0.767428	−	0.557569i	0.133751	−	0.991015i	$-0.457298\pi$
$677$	−19.9679	−	14.5075i	−0.767428	−	0.557569i	−0.901180	+	0.433446i	$0.857298\pi$
$678$	−7.49826	+	23.0773i	−0.287969	+	0.886277i
$679$	15.9231	+	49.0063i	0.611073	+	1.88069i
$680$	7.79311	−	5.66203i	0.298852	−	0.217129i
$681$	−3.02608			−0.115960
$682$	−23.2325	−	12.2914i	−0.889620	−	0.470662i
$683$	−48.9656			−1.87361			−0.936807	−	0.349846i	$-0.886234\pi$
$683$	−48.9656			−1.87361			−0.936807	+	0.349846i	$0.886234\pi$
$684$	0.232187	−	0.168694i	0.00887791	−	0.00645018i
$685$	−5.64632	−	17.3776i	−0.215735	−	0.663964i
$686$	−0.491302	+	1.51207i	−0.0187580	+	0.0577311i
$687$	−2.46948	−	1.79418i	−0.0942164	−	0.0684523i
$688$	32.6567	+	23.7265i	1.24502	+	0.904563i
$689$	16.3079	−	50.1905i	0.621281	−	1.91211i
$690$	0.799778	+	2.46146i	0.0304470	+	0.0937063i
$691$	−36.9710	+	26.8610i	−1.40644	+	1.02184i	−0.412616	+	0.910905i	$0.635385\pi$
$691$	−36.9710	+	26.8610i	−1.40644	+	1.02184i	−0.993828	+	0.110936i	$0.964615\pi$
$692$	1.43038			0.0543750
$693$	12.4223	−	1.77205i	0.471885	−	0.0673144i
$694$	−20.3259			−0.771561
$695$	−11.5366	+	8.38181i	−0.437607	+	0.317940i
$696$	−1.58928	−	4.89129i	−0.0602414	−	0.185404i
$697$	9.50272	−	29.2464i	0.359941	−	1.10779i
$698$	−4.10920	−	2.98551i	−0.155535	−	0.113003i
$699$	−5.10436	−	3.70854i	−0.193065	−	0.140270i
$700$	0.244415	−	0.752232i	0.00923801	−	0.0284317i
$701$	2.12471	+	6.53919i	0.0802493	+	0.246982i	0.983130	−	0.182910i	$-0.0585517\pi$
$701$	2.12471	+	6.53919i	0.0802493	+	0.246982i	−0.902880	+	0.429892i	$0.858552\pi$
$702$	5.34187	−	3.88110i	0.201616	−	0.146483i
$703$	6.44940			0.243244
$704$	−12.6330	−	25.7660i	−0.476122	−	0.971094i
$705$	−0.805727			−0.0303454
$706$	−0.562534	+	0.408705i	−0.0211713	+	0.0153818i
$707$	−9.28105	−	28.5641i	−0.349050	−	1.07426i
$708$	0.785784	−	2.41840i	0.0295316	−	0.0908889i
$709$	−11.1430	−	8.09587i	−0.418484	−	0.304047i	0.358543	−	0.933513i	$-0.383274\pi$
$709$	−11.1430	−	8.09587i	−0.418484	−	0.304047i	−0.777028	+	0.629466i	$0.783274\pi$
$710$	2.96619	+	2.15506i	0.111319	+	0.0808780i
$711$	3.94512	−	12.1418i	0.147954	−	0.455355i
$712$	7.17879	+	22.0941i	0.269037	+	0.828010i
$713$	−9.26515	+	6.73152i	−0.346982	+	0.252098i
$714$	16.4978			0.617416
$715$	−2.80826	+	16.1213i	−0.105023	+	0.602903i
$716$	−3.24216			−0.121165
$717$	−4.62037	+	3.35689i	−0.172551	+	0.125366i
$718$	−5.72240	−	17.6117i	−0.213558	−	0.657264i
$719$	−0.648743	+	1.99663i	−0.0241940	+	0.0744615i	−0.962425	−	0.271549i	$-0.912464\pi$
$719$	−0.648743	+	1.99663i	−0.0241940	+	0.0744615i	0.938230	+	0.346011i	$0.112464\pi$
$720$	2.86245	+	2.07969i	0.106677	+	0.0775055i
$721$	−37.3581	−	27.1422i	−1.39129	−	1.01083i
$722$	−7.07797	+	21.7838i	−0.263415	+	0.810707i
$723$	−1.48936	−	4.58377i	−0.0553898	−	0.170472i
$724$	−0.382398	+	0.277829i	−0.0142117	+	0.0103254i
$725$	−1.73968			−0.0646101
$726$	−8.28221	−	12.1700i	−0.307382	−	0.451671i
$727$	−14.9925			−0.556042			−0.278021	−	0.960575i	$-0.589678\pi$
$727$	−14.9925			−0.556042			−0.278021	+	0.960575i	$0.589678\pi$
$728$	−44.6459	+	32.4371i	−1.65469	+	1.20220i
$729$	0.309017	+	0.951057i	0.0114451	+	0.0352243i
$730$	−3.87789	+	11.9349i	−0.143527	+	0.441731i
$731$	−30.0744	−	21.8503i	−1.11234	−	0.808164i
$732$	−1.45300	−	1.05567i	−0.0537046	−	0.0390187i
$733$	5.09932	−	15.6941i	0.188348	−	0.579675i	−0.811642	−	0.584155i	$-0.801426\pi$
$733$	5.09932	−	15.6941i	0.188348	−	0.579675i	0.999990	+	0.00448022i	$0.00142610\pi$
$734$	−8.52812	−	26.2469i	−0.314779	−	0.968790i
$735$	5.91716	−	4.29907i	0.218258	−	0.158573i
$736$	−2.27739			−0.0839455
$737$	1.57902	−	9.06464i	0.0581640	−	0.333900i
$738$	12.6299			0.464914
$739$	−5.89430	+	4.28246i	−0.216825	+	0.157533i	−0.690896	−	0.722954i	$-0.742784\pi$
$739$	−5.89430	+	4.28246i	−0.216825	+	0.157533i	0.474071	+	0.880487i	$0.342784\pi$
$740$	−0.303494	−	0.934057i	−0.0111566	−	0.0343366i
$741$	−2.09312	+	6.44196i	−0.0768927	+	0.236651i
$742$	43.8127	+	31.8318i	1.60841	+	1.16858i
$743$	22.3374	+	16.2291i	0.819481	+	0.595388i	0.916564	−	0.399888i	$-0.130951\pi$
$743$	22.3374	+	16.2291i	0.819481	+	0.595388i	−0.0970826	+	0.995276i	$0.530951\pi$
$744$	−5.40977	+	16.6496i	−0.198332	+	0.610402i
$745$	3.27678	+	10.0849i	0.120052	+	0.369482i
$746$	−8.85432	+	6.43304i	−0.324180	+	0.235530i
$747$	−3.41304			−0.124877
$748$	0.994592	+	2.02856i	0.0363659	+	0.0741714i
$749$	−8.83562			−0.322847
$750$	1.08268	−	0.786610i	0.0395337	−	0.0287229i
$751$	−0.694822	−	2.13844i	−0.0253544	−	0.0780328i	0.937579	−	0.347773i	$-0.113062\pi$
$751$	−0.694822	−	2.13844i	−0.0253544	−	0.0780328i	−0.962933	+	0.269740i	$0.913062\pi$
$752$	−0.880948	+	2.71128i	−0.0321249	+	0.0988702i
$753$	−0.714381	−	0.519028i	−0.0260335	−	0.0189144i
$754$	9.29316	+	6.75188i	0.338437	+	0.245889i
$755$	3.88538	−	11.9580i	0.141403	−	0.435195i
$756$	−0.244415	−	0.752232i	−0.00888928	−	0.0273584i
$757$	−27.4941	+	19.9757i	−0.999292	+	0.726028i	−0.961936	−	0.273274i	$-0.911893\pi$
$757$	−27.4941	+	19.9757i	−0.999292	+	0.726028i	−0.0373555	+	0.999302i	$0.511893\pi$
$758$	35.5953			1.29288
$759$	−6.34992	+	0.905817i	−0.230487	+	0.0328791i
$760$	−4.05849			−0.147217
$761$	22.4101	−	16.2819i	0.812364	−	0.590217i	−0.102151	−	0.994769i	$-0.532572\pi$
$761$	22.4101	−	16.2819i	0.812364	−	0.590217i	0.914515	+	0.404552i	$0.132572\pi$
$762$	9.22715	+	28.3983i	0.334264	+	1.02876i
$763$	−7.47565	+	23.0077i	−0.270637	+	0.832934i
$764$	−3.00532	−	2.18350i	−0.108729	−	0.0789961i
$765$	−2.63611	−	1.91524i	−0.0953087	−	0.0692458i
$766$	−6.02152	+	18.5323i	−0.217566	+	0.669601i
$767$	18.5453	+	57.0766i	0.669632	+	2.06092i
$768$	−4.01324	+	2.91579i	−0.144815	+	0.105214i
$769$	2.29270			0.0826770			0.0413385	−	0.999145i	$-0.486838\pi$
$769$	2.29270			0.0826770			0.0413385	+	0.999145i	$0.486838\pi$
$770$	−14.8433	−	7.85297i	−0.534914	−	0.283001i
$771$	−8.63651			−0.311036
$772$	3.57811	−	2.59965i	0.128779	−	0.0935634i
$773$	−9.57788	−	29.4777i	−0.344492	−	1.06024i	−0.961855	−	0.273560i	$-0.911799\pi$
$773$	−9.57788	−	29.4777i	−0.344492	−	1.06024i	0.617363	−	0.786679i	$-0.288201\pi$
$774$	4.71799	−	14.5205i	0.169585	−	0.521928i
$775$	4.79078	+	3.48070i	0.172090	+	0.125031i
$776$	−32.5739	−	23.6663i	−1.16934	−	0.849572i
$777$	5.49244	−	16.9040i	0.197040	−	0.606428i
$778$	−1.63314	−	5.02628i	−0.0585508	−	0.180201i
$779$	−10.4818	+	7.61545i	−0.375548	+	0.272852i
$780$	1.03148			0.0369328
$781$	−6.52321	+	6.32551i	−0.233419	+	0.226345i
$782$	−8.43321			−0.301571
$783$	−1.40743	+	1.02256i	−0.0502975	+	0.0365433i
$784$	−7.99683	−	24.6117i	−0.285601	−	0.878990i
$785$	−3.87297	+	11.9198i	−0.138232	+	0.425435i
$786$	−0.608574	−	0.442155i	−0.0217071	−	0.0157711i
$787$	39.7539	+	28.8829i	1.41707	+	1.02956i	0.992246	+	0.124288i	$0.0396645\pi$
$787$	39.7539	+	28.8829i	1.41707	+	1.02956i	0.424826	+	0.905275i	$0.360335\pi$
$788$	1.55713	−	4.79237i	0.0554706	−	0.170721i
$789$	1.46349	+	4.50415i	0.0521015	+	0.160352i
$790$	−13.8222	+	10.0424i	−0.491772	+	0.357293i
$791$	−68.5990			−2.43910
$792$	−7.03897	+	6.82564i	−0.250119	+	0.242539i
$793$	42.3877			1.50523
$794$	19.5057	−	14.1718i	0.692233	−	0.502937i
$795$	−3.30524	−	10.1725i	−0.117225	−	0.360781i
$796$	−0.278028	+	0.855682i	−0.00985443	+	0.0303288i
$797$	−2.24878	−	1.63384i	−0.0796560	−	0.0578735i	0.547245	−	0.836973i	$-0.315677\pi$
$797$	−2.24878	−	1.63384i	−0.0796560	−	0.0578735i	−0.626901	+	0.779099i	$0.715677\pi$
$798$	−5.62336	−	4.08561i	−0.199065	−	0.144629i
$799$	0.811289	−	2.49689i	0.0287013	−	0.0883337i
$800$	0.363892	+	1.11994i	0.0128655	+	0.0395960i
$801$	6.35739	−	4.61892i	0.224627	−	0.163201i
$802$	−35.8383			−1.26550
$803$	−27.4903	−	14.5440i	−0.970111	−	0.513247i
$804$	−0.579976			−0.0204542
$805$	−5.91949	+	4.30076i	−0.208635	+	0.151582i
$806$	−12.0828	−	37.1870i	−0.425598	−	1.30986i
$807$	4.40881	−	13.5689i	0.155198	−	0.477649i
$808$	18.9863	+	13.7943i	0.667935	+	0.485283i
$809$	35.6239	+	25.8823i	1.25247	+	0.909973i	0.998363	−	0.0572032i	$-0.0182183\pi$
$809$	35.6239	+	25.8823i	1.25247	+	0.909973i	0.254108	+	0.967176i	$0.418218\pi$
$810$	0.413545	−	1.27276i	0.0145305	−	0.0447203i
$811$	−5.56160	−	17.1168i	−0.195294	−	0.601054i	−0.999973	−	0.00734341i	$-0.997662\pi$
$811$	−5.56160	−	17.1168i	−0.195294	−	0.601054i	0.804679	−	0.593710i	$-0.202338\pi$
$812$	1.11320	−	0.808786i	0.0390656	−	0.0283828i
$813$	−22.9367			−0.804426
$814$	−20.6426	+	2.94468i	−0.723524	+	0.103211i
$815$	−3.10317			−0.108699
$816$	−9.32703	+	6.77648i	−0.326511	+	0.237224i
$817$	4.83986	+	14.8956i	0.169325	+	0.521130i
$818$	11.7990	−	36.3135i	0.412542	−	1.26967i
$819$	15.1020	+	10.9722i	0.527705	+	0.383400i
$820$	1.59618	+	1.15969i	0.0557411	+	0.0404983i
$821$	−4.22256	+	12.9957i	−0.147368	+	0.453553i	−0.997308	−	0.0733268i	$-0.976638\pi$
$821$	−4.22256	+	12.9957i	−0.147368	+	0.453553i	0.849940	+	0.526880i	$0.176638\pi$
$822$	7.55626	+	23.2558i	0.263555	+	0.811138i
$823$	7.72995	−	5.61614i	0.269449	−	0.195766i	−0.444853	−	0.895603i	$-0.646744\pi$
$823$	7.72995	−	5.61614i	0.269449	−	0.195766i	0.714302	+	0.699837i	$0.246744\pi$
$824$	36.0823			1.25699
$825$	1.46007	+	2.97795i	0.0508332	+	0.103679i
$826$	−61.5854			−2.14283
$827$	−2.31832	+	1.68436i	−0.0806158	+	0.0585708i	−0.627363	−	0.778727i	$-0.715866\pi$
$827$	−2.31832	+	1.68436i	−0.0806158	+	0.0585708i	0.546747	+	0.837298i	$0.315866\pi$
$828$	0.124938	+	0.384518i	0.00434188	+	0.0133629i
$829$	−6.55421	+	20.1718i	−0.227637	+	0.700595i	0.770376	+	0.637590i	$0.220068\pi$
$829$	−6.55421	+	20.1718i	−0.227637	+	0.700595i	−0.998013	+	0.0630052i	$0.979932\pi$
$830$	3.69522	+	2.68474i	0.128263	+	0.0931885i
$831$	−4.71093	−	3.42269i	−0.163420	−	0.118732i
$832$	13.1919	−	40.6005i	0.457347	−	1.40757i
$833$	7.36450	+	22.6656i	0.255165	+	0.785317i
$834$	15.4389	−	11.2171i	0.534607	−	0.388415i
$835$	−8.34898			−0.288928
$836$	0.163352	−	0.937748i	0.00564963	−	0.0324327i
$837$	5.92173			0.204685
$838$	−15.9651	+	11.5993i	−0.551504	+	0.400691i
$839$	0.435708	+	1.34097i	0.0150423	+	0.0462954i	0.958296	−	0.285778i	$-0.0922519\pi$
$839$	0.435708	+	1.34097i	0.0150423	+	0.0462954i	−0.943254	+	0.332073i	$0.892252\pi$
$840$	−3.45630	+	10.6374i	−0.119254	+	0.367025i
$841$	21.0130	+	15.2668i	0.724587	+	0.526443i
$842$	−20.8993	−	15.1842i	−0.720237	−	0.523283i
$843$	0.0486983	−	0.149878i	0.00167726	−	0.00516207i
$844$	−0.983697	−	3.02751i	−0.0338602	−	0.104211i
$845$	−9.17741	+	6.66778i	−0.315713	+	0.229379i
$846$	1.07827			0.0370718
$847$	25.4863	−	32.9005i	0.875719	−	1.13048i
$848$	−37.8443			−1.29958
$849$	−7.23718	+	5.25812i	−0.248379	+	0.180458i
$850$	1.34750	+	4.14718i	0.0462189	+	0.142247i
$851$	−2.80757	+	8.64082i	−0.0962424	+	0.296204i
$852$	0.463364	+	0.336654i	0.0158746	+	0.0115336i
$853$	10.8987	+	7.91838i	0.373165	+	0.271120i	0.758522	−	0.651647i	$-0.225922\pi$
$853$	10.8987	+	7.91838i	0.373165	+	0.271120i	−0.385357	+	0.922768i	$0.625922\pi$
$854$	−13.4415	+	41.3688i	−0.459960	+	1.41561i
$855$	0.424228	+	1.30564i	0.0145083	+	0.0446519i
$856$	5.58550	−	4.05810i	0.190908	−	0.138703i
$857$	25.5677			0.873376			0.436688	−	0.899613i	$-0.356151\pi$
$857$	25.5677			0.873376			0.436688	+	0.899613i	$0.356151\pi$
$858$	3.75819	−	21.5745i	0.128302	−	0.736542i
$859$	21.7766			0.743008			0.371504	−	0.928431i	$-0.378842\pi$
$859$	21.7766			0.743008			0.371504	+	0.928431i	$0.378842\pi$
$860$	1.92955	−	1.40190i	0.0657972	−	0.0478044i
$861$	11.0337	+	33.9584i	0.376029	+	1.15730i
$862$	−4.34098	+	13.3602i	−0.147854	+	0.455049i
$863$	41.9951	+	30.5113i	1.42953	+	1.03862i	0.990104	+	0.140337i	$0.0448185\pi$
$863$	41.9951	+	30.5113i	1.42953	+	1.03862i	0.439427	+	0.898278i	$0.355181\pi$
$864$	0.952682	+	0.692164i	0.0324109	+	0.0235479i
$865$	−2.11432	+	6.50720i	−0.0718890	+	0.221252i
$866$	9.56766	+	29.4462i	0.325122	+	1.00062i
$867$	−5.16377	+	3.75170i	−0.175371	+	0.127414i
$868$	−4.68375			−0.158977
$869$	−18.6403	−	38.0186i	−0.632329	−	1.28969i
$870$	2.32815			0.0789316
$871$	11.0738	−	8.04562i	0.375223	−	0.272615i
$872$	−5.84139	−	17.9779i	−0.197814	−	0.608810i
$873$	−4.20869	+	12.9530i	−0.142443	+	0.438393i
$874$	2.87449	+	2.08844i	0.0972312	+	0.0706426i
$875$	3.06082	+	2.22382i	0.103475	+	0.0751788i
$876$	−0.605785	+	1.86442i	−0.0204676	+	0.0629928i
$877$	−3.39132	−	10.4374i	−0.114517	−	0.352446i	0.877329	−	0.479889i	$-0.159323\pi$
$877$	−3.39132	−	10.4374i	−0.114517	−	0.352446i	−0.991846	+	0.127443i	$0.959323\pi$
$878$	27.3173	−	19.8472i	0.921914	−	0.669810i
$879$	−25.9879			−0.876548
$880$	11.6172	−	1.65720i	0.391616	−	0.0558641i
$881$	−8.42384			−0.283806			−0.141903	−	0.989881i	$-0.545322\pi$
$881$	−8.42384			−0.283806			−0.141903	+	0.989881i	$0.545322\pi$
$882$	−7.91870	+	5.75328i	−0.266637	+	0.193723i
$883$	−4.29740	−	13.2260i	−0.144619	−	0.445091i	0.852343	−	0.522983i	$-0.175181\pi$
$883$	−4.29740	−	13.2260i	−0.144619	−	0.445091i	−0.996962	+	0.0778921i	$0.975181\pi$
$884$	−1.03860	+	3.19648i	−0.0349318	+	0.107509i
$885$	9.84043	+	7.14949i	0.330782	+	0.240328i
$886$	−7.23819	−	5.25885i	−0.243172	−	0.176675i
$887$	−8.58929	+	26.4351i	−0.288400	+	0.887604i	0.696959	+	0.717111i	$0.254536\pi$
$887$	−8.58929	+	26.4351i	−0.288400	+	0.887604i	−0.985359	+	0.170493i	$0.945464\pi$
$888$	4.29173	+	13.2086i	0.144021	+	0.443251i
$889$	−68.2940	+	49.6185i	−2.29051	+	1.66415i
$890$	−10.5163			−0.352507
$891$	2.93162	+	1.55100i	0.0982129	+	0.0519605i
$892$	−5.98843			−0.200508
$893$	−0.894874	+	0.650164i	−0.0299458	+	0.0217569i
$894$	−4.38519	−	13.4962i	−0.146663	−	0.451382i
$895$	4.79239	−	14.7494i	0.160192	−	0.493020i
$896$	28.2325	+	20.5121i	0.943183	+	0.685263i
$897$	−7.71968	−	5.60867i	−0.257752	−	0.187268i
$898$	−5.42401	+	16.6934i	−0.181002	+	0.557066i
$899$	3.18347	+	9.79771i	0.106175	+	0.326772i
$900$	0.169131	−	0.122881i	0.00563769	−	0.00409602i
$901$	34.8519			1.16108
$902$	30.0720	−	29.1606i	1.00129	−	0.970942i
$903$	43.1633			1.43639
$904$	43.3653	−	31.5067i	1.44231	−	1.04790i
$905$	−0.698677	−	2.15031i	−0.0232248	−	0.0714786i
$906$	−5.19965	+	16.0029i	−0.172747	+	0.531660i
$907$	−8.21202	−	5.96638i	−0.272676	−	0.198110i	0.443041	−	0.896501i	$-0.353900\pi$
$907$	−8.21202	−	5.96638i	−0.272676	−	0.198110i	−0.715716	+	0.698391i	$0.753900\pi$
$908$	0.511802	+	0.371846i	0.0169848	+	0.0123401i
$909$	2.45311	−	7.54989i	0.0813644	−	0.250414i
$910$	−7.71968	−	23.7587i	−0.255905	−	0.787594i
$911$	−36.4663	+	26.4943i	−1.20818	+	0.877795i	−0.995064	−	0.0992311i	$-0.968362\pi$
$911$	−36.4663	+	26.4943i	−1.20818	+	0.877795i	−0.213117	+	0.977027i	$0.568362\pi$
$912$	4.85732			0.160842
$913$	−8.12650	+	7.88021i	−0.268948	+	0.260797i
$914$	47.0099			1.55495
$915$	6.95028	−	5.04968i	0.229769	−	0.166937i
$916$	0.197194	+	0.606902i	0.00651548	+	0.0200526i
$917$	0.657170	−	2.02256i	0.0217017	−	0.0667909i
$918$	3.52780	+	2.56310i	0.116435	+	0.0845948i
$919$	−4.68497	−	3.40383i	−0.154543	−	0.112282i	0.507827	−	0.861459i	$-0.330449\pi$
$919$	−4.68497	−	3.40383i	−0.154543	−	0.112282i	−0.662369	+	0.749177i	$0.730449\pi$
$920$	1.76676	−	5.43751i	0.0582482	−	0.179270i
$921$	−1.45967	−	4.49240i	−0.0480978	−	0.148030i
$922$	−32.9534	+	23.9421i	−1.08526	+	0.788490i
$923$	−13.5175			−0.444933
$924$	−2.31874	−	1.22675i	−0.0762811	−	0.0403573i
$925$	4.69789			0.154466
$926$	10.9210	−	7.93455i	0.358885	−	0.260745i
$927$	−3.77163	−	11.6079i	−0.123876	−	0.381252i
$928$	−0.633056	+	1.94835i	−0.0207811	+	0.0639576i
$929$	34.6454	+	25.1714i	1.13668	+	0.825846i	0.986653	−	0.162836i	$-0.0520643\pi$
$929$	34.6454	+	25.1714i	1.13668	+	0.825846i	0.150026	+	0.988682i	$0.452064\pi$
$930$	−6.41131	−	4.65809i	−0.210235	−	0.152745i
$931$	3.10280	−	9.54945i	0.101690	−	0.312971i
$932$	0.407597	+	1.25445i	0.0133513	+	0.0410910i
$933$	−15.5750	+	11.3159i	−0.509901	+	0.370465i
$934$	22.8200			0.746694
$935$	−10.6986	+	1.52616i	−0.349882	+	0.0499107i
$936$	−14.5862			−0.476766
$937$	9.61606	−	6.98647i	0.314143	−	0.228238i	−0.419529	−	0.907742i	$-0.637805\pi$
$937$	9.61606	−	6.98647i	0.314143	−	0.228238i	0.733672	+	0.679504i	$0.237805\pi$
$938$	4.34060	+	13.3590i	0.141725	+	0.436186i
$939$	−0.909581	+	2.79940i	−0.0296830	+	0.0913550i
$940$	0.136273	+	0.0990082i	0.00444474	+	0.00322929i
$941$	−32.6099	−	23.6925i	−1.06305	−	0.772354i	−0.0884029	−	0.996085i	$-0.528176\pi$
$941$	−32.6099	−	23.6925i	−1.06305	−	0.772354i	−0.974651	+	0.223731i	$0.928176\pi$
$942$	5.18304	−	15.9518i	0.168873	−	0.519736i
$943$	−5.64013	−	17.3585i	−0.183668	−	0.565271i
$944$	34.8172	−	25.2962i	1.13320	−	0.823321i
$945$	3.78339			0.123074
$946$	−22.2920	−	45.4666i	−0.724777	−	1.47825i
$947$	53.3167			1.73256			0.866280	−	0.499560i	$-0.166505\pi$
$947$	53.3167			1.73256			0.866280	+	0.499560i	$0.166505\pi$
$948$	−2.15924	+	1.56878i	−0.0701288	+	0.0509516i
$949$	−14.2971	−	44.0021i	−0.464105	−	1.42837i
$950$	0.567727	−	1.74728i	0.0184195	−	0.0566894i
$951$	1.47811	+	1.07391i	0.0479311	+	0.0348240i
$952$	−29.4844	−	21.4216i	−0.955593	−	0.694279i
$953$	7.14876	−	22.0016i	0.231571	−	0.712702i	−0.765987	−	0.642856i	$-0.777749\pi$
$953$	7.14876	−	22.0016i	0.231571	−	0.712702i	0.997558	−	0.0698458i	$-0.0222507\pi$
$954$	4.42327	+	13.6134i	0.143209	+	0.440751i
$955$	14.3756	−	10.4445i	0.465184	−	0.337976i
$956$	1.19394			0.0386149
$957$	−0.990175	+	5.68427i	−0.0320078	+	0.183746i
$958$	11.9484			0.386036
$959$	−55.9270	+	40.6334i	−1.80598	+	1.31212i
$960$	−2.67370	−	8.22880i	−0.0862933	−	0.265583i
$961$	1.25673	−	3.86781i	0.0405396	−	0.124768i
$962$	−25.0955	−	18.2330i	−0.809112	−	0.587854i
$963$	−1.88936	−	1.37270i	−0.0608837	−	0.0442346i
$964$	−0.311360	+	0.958269i	−0.0100282	+	0.0308638i
$965$	6.53753	+	20.1204i	0.210450	+	0.647700i
$966$	7.92183	−	5.75555i	0.254881	−	0.185182i
$967$	32.8910			1.05770			0.528851	−	0.848715i	$-0.322623\pi$
$967$	32.8910			1.05770			0.528851	+	0.848715i	$0.322623\pi$
$968$	−1.00049	+	32.5039i	−0.0321569	+	1.04471i
$969$	−4.47324			−0.143701
$970$	14.7456	−	10.7133i	0.473454	−	0.343984i
$971$	6.98298	+	21.4914i	0.224094	+	0.689692i	0.998382	+	0.0568580i	$0.0181082\pi$
$971$	6.98298	+	21.4914i	0.224094	+	0.689692i	−0.774288	+	0.632833i	$0.781892\pi$
$972$	0.0646021	−	0.198825i	0.00207211	−	0.00637731i
$973$	43.6473	+	31.7116i	1.39927	+	1.01663i
$974$	−36.2305	−	26.3230i	−1.16090	−	0.843443i
$975$	−1.52468	+	4.69247i	−0.0488287	+	0.150279i
$976$	−9.39307	−	28.9089i	−0.300665	−	0.925351i
$977$	−24.9051	+	18.0946i	−0.796786	+	0.578899i	−0.909969	−	0.414675i	$-0.863895\pi$
$977$	−24.9051	+	18.0946i	−0.796786	+	0.578899i	0.113184	+	0.993574i	$0.463895\pi$
$978$	4.15285			0.132794
$979$	4.47264	−	25.6760i	0.142946	−	0.820607i
$980$	−1.52904			−0.0488435
$981$	−5.17301	+	3.75841i	−0.165162	+	0.119997i
$982$	3.75175	+	11.5467i	0.119723	+	0.368470i
$983$	10.7835	−	33.1883i	0.343942	−	1.05854i	−0.618206	−	0.786016i	$-0.712140\pi$
$983$	10.7835	−	33.1883i	0.343942	−	1.05854i	0.962148	−	0.272528i	$-0.0878597\pi$
$984$	−22.5718	−	16.3993i	−0.719562	−	0.522792i
$985$	19.5001	+	14.1676i	0.621325	+	0.451419i
$986$	−2.34422	+	7.21477i	−0.0746552	+	0.229765i
$987$	0.942000	+	2.89918i	0.0299842	+	0.0922818i
$988$	1.14560	−	0.832329i	0.0364465	−	0.0264799i
$989$	−22.0638			−0.701588
$990$	−1.95396	−	3.98527i	−0.0621009	−	0.126660i
$991$	−41.7439			−1.32604			−0.663019	−	0.748602i	$-0.730725\pi$
$991$	−41.7439			−1.32604			−0.663019	+	0.748602i	$0.730725\pi$
$992$	5.64152	−	4.09881i	0.179119	−	0.130137i
$993$	−5.34651	−	16.4549i	−0.169666	−	0.522179i
$994$	4.28651	−	13.1925i	0.135960	−	0.418441i
$995$	−3.48176	−	2.52965i	−0.110379	−	0.0801952i
$996$	0.577250	+	0.419397i	0.0182909	+	0.0132891i
$997$	−10.4244	+	32.0829i	−0.330143	+	1.01608i	0.638922	+	0.769271i	$0.279380\pi$
$997$	−10.4244	+	32.0829i	−0.330143	+	1.01608i	−0.969065	+	0.246804i	$0.920620\pi$
$998$	16.1604	+	49.7365i	0.511548	+	1.57438i
$999$	3.80067	−	2.76135i	0.120248	−	0.0873652i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.m.c.91.1	✓	8
3.2	odd	2		495.2.n.c.91.2		8
5.2	odd	4		825.2.bx.e.124.2		16
5.3	odd	4		825.2.bx.e.124.3		16
5.4	even	2		825.2.n.j.751.2		8
11.2	odd	10		1815.2.a.q.1.2		4
11.4	even	5	inner	165.2.m.c.136.1	yes	8
11.9	even	5		1815.2.a.u.1.3		4
33.2	even	10		5445.2.a.bq.1.3		4
33.20	odd	10		5445.2.a.bj.1.2		4
33.26	odd	10		495.2.n.c.136.2		8
55.4	even	10		825.2.n.j.301.2		8
55.9	even	10		9075.2.a.co.1.2		4
55.24	odd	10		9075.2.a.df.1.3		4
55.37	odd	20		825.2.bx.e.499.3		16
55.48	odd	20		825.2.bx.e.499.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.m.c.91.1	✓	8	1.1	even	1	trivial
165.2.m.c.136.1	yes	8	11.4	even	5	inner
495.2.n.c.91.2		8	3.2	odd	2
495.2.n.c.136.2		8	33.26	odd	10
825.2.n.j.301.2		8	55.4	even	10
825.2.n.j.751.2		8	5.4	even	2
825.2.bx.e.124.2		16	5.2	odd	4
825.2.bx.e.124.3		16	5.3	odd	4
825.2.bx.e.499.2		16	55.48	odd	20
825.2.bx.e.499.3		16	55.37	odd	20
1815.2.a.q.1.2		4	11.2	odd	10
1815.2.a.u.1.3		4	11.9	even	5
5445.2.a.bj.1.2		4	33.20	odd	10
5445.2.a.bq.1.3		4	33.2	even	10
9075.2.a.co.1.2		4	55.9	even	10
9075.2.a.df.1.3		4	55.24	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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.m (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.08268 + 0.786610i) q^{2} +(-0.309017 - 0.951057i) q^{3} +(-0.0646021 + 0.198825i) q^{4} +(-0.809017 - 0.587785i) q^{5} +(1.08268 + 0.786610i) q^{6} +(-1.16913 + 3.59821i) q^{7} +(-0.913545 - 2.81160i) q^{8} +(-0.809017 + 0.587785i) q^{9} +O(q^{10})\)	\(q+(-1.08268 + 0.786610i) q^{2} +(-0.309017 - 0.951057i) q^{3} +(-0.0646021 + 0.198825i) q^{4} +(-0.809017 - 0.587785i) q^{5} +(1.08268 + 0.786610i) q^{6} +(-1.16913 + 3.59821i) q^{7} +(-0.913545 - 2.81160i) q^{8} +(-0.809017 + 0.587785i) q^{9} +1.33826 q^{10} +(-0.569171 + 3.26742i) q^{11} +0.209057 q^{12} +(-3.99165 + 2.90011i) q^{13} +(-1.56460 - 4.81535i) q^{14} +(-0.309017 + 0.951057i) q^{15} +(2.86245 + 2.07969i) q^{16} +(-2.63611 - 1.91524i) q^{17} +(0.413545 - 1.27276i) q^{18} +(0.424228 + 1.30564i) q^{19} +(0.169131 - 0.122881i) q^{20} +3.78339 q^{21} +(-1.95396 - 3.98527i) q^{22} -1.93395 q^{23} +(-2.39169 + 1.73767i) q^{24} +(0.309017 + 0.951057i) q^{25} +(2.04041 - 6.27975i) q^{26} +(0.809017 + 0.587785i) q^{27} +(-0.639886 - 0.464905i) q^{28} +(-0.537591 + 1.65454i) q^{29} +(-0.413545 - 1.27276i) q^{30} +(4.79078 - 3.48070i) q^{31} +1.17758 q^{32} +(3.28339 - 0.468375i) q^{33} +4.36060 q^{34} +(3.06082 - 2.22382i) q^{35} +(-0.0646021 - 0.198825i) q^{36} +(1.45173 - 4.46796i) q^{37} +(-1.48633 - 1.07988i) q^{38} +(3.99165 + 2.90011i) q^{39} +(-0.913545 + 2.81160i) q^{40} +(2.91637 + 8.97566i) q^{41} +(-4.09618 + 2.97605i) q^{42} +11.4086 q^{43} +(-0.612875 - 0.324248i) q^{44} +1.00000 q^{45} +(2.09385 - 1.52127i) q^{46} +(0.248983 + 0.766292i) q^{47} +(1.09336 - 3.36501i) q^{48} +(-5.91716 - 4.29907i) q^{49} +(-1.08268 - 0.786610i) q^{50} +(-1.00690 + 3.09893i) q^{51} +(-0.318744 - 0.980993i) q^{52} +(-8.65323 + 6.28694i) q^{53} -1.33826 q^{54} +(2.38101 - 2.30885i) q^{55} +11.1848 q^{56} +(1.11064 - 0.806929i) q^{57} +(-0.719437 - 2.21420i) q^{58} +(3.75871 - 11.5681i) q^{59} +(-0.169131 - 0.122881i) q^{60} +(-6.95028 - 5.04968i) q^{61} +(-2.44890 + 7.53695i) q^{62} +(-1.16913 - 3.59821i) q^{63} +(-6.99983 + 5.08568i) q^{64} +4.93395 q^{65} +(-3.18641 + 3.08984i) q^{66} -2.77425 q^{67} +(0.551097 - 0.400395i) q^{68} +(0.597625 + 1.83930i) q^{69} +(-1.56460 + 4.81535i) q^{70} +(2.21645 + 1.61034i) q^{71} +(2.39169 + 1.73767i) q^{72} +(-2.89770 + 8.91822i) q^{73} +(1.94279 + 5.97929i) q^{74} +(0.809017 - 0.587785i) q^{75} -0.286999 q^{76} +(-11.0914 - 5.86804i) q^{77} -6.60292 q^{78} +(-10.3285 + 7.50407i) q^{79} +(-1.09336 - 3.36501i) q^{80} +(0.309017 - 0.951057i) q^{81} +(-10.2178 - 7.42369i) q^{82} +(2.76121 + 2.00614i) q^{83} +(-0.244415 + 0.752232i) q^{84} +(1.00690 + 3.09893i) q^{85} +(-12.3519 + 8.97416i) q^{86} +1.73968 q^{87} +(9.70666 - 1.38466i) q^{88} -7.85817 q^{89} +(-1.08268 + 0.786610i) q^{90} +(-5.76844 - 17.7534i) q^{91} +(0.124938 - 0.384518i) q^{92} +(-4.79078 - 3.48070i) q^{93} +(-0.872341 - 0.633793i) q^{94} +(0.424228 - 1.30564i) q^{95} +(-0.363892 - 1.11994i) q^{96} +(11.0185 - 8.00541i) q^{97} +9.78806 q^{98} +(-1.46007 - 2.97795i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 5 q^{7} - q^{8} - 2 q^{9}+O(q^{10}) \) 8 * q + 2 * q^2 + 2 * q^3 + 2 * q^4 - 2 * q^5 - 2 * q^6 - 5 * q^7 - q^8 - 2 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 5 q^{7} - q^{8} - 2 q^{9} + 2 q^{10} - q^{11} - 2 q^{12} - 16 q^{13} - 10 q^{14} + 2 q^{15} + 12 q^{16} - 4 q^{17} - 3 q^{18} + 2 q^{19} - 3 q^{20} - 9 q^{22} + 10 q^{23} - 4 q^{24} - 2 q^{25} + 16 q^{26} + 2 q^{27} - 5 q^{28} - 16 q^{29} + 3 q^{30} - 5 q^{31} - 4 q^{33} + 34 q^{34} + 5 q^{35} + 2 q^{36} - 5 q^{37} + 28 q^{38} + 16 q^{39} - q^{40} + 5 q^{41} - 15 q^{42} - 8 q^{43} - 19 q^{44} + 8 q^{45} + 10 q^{46} - q^{47} + 3 q^{48} - 11 q^{49} + 2 q^{50} + 4 q^{51} + 26 q^{52} - 15 q^{53} - 2 q^{54} - q^{55} + 20 q^{56} + 13 q^{57} - 24 q^{58} + 3 q^{59} + 3 q^{60} - 11 q^{61} - 15 q^{62} - 5 q^{63} - 9 q^{64} + 14 q^{65} - 31 q^{66} + 6 q^{67} + 9 q^{68} + 15 q^{69} - 10 q^{70} + q^{71} + 4 q^{72} - 35 q^{73} + 5 q^{74} + 2 q^{75} + 58 q^{76} - 25 q^{77} + 24 q^{78} - 30 q^{79} - 3 q^{80} - 2 q^{81} - 25 q^{82} + 31 q^{83} - 4 q^{85} - 62 q^{86} - 34 q^{87} + 17 q^{88} - 48 q^{89} + 2 q^{90} + 5 q^{91} - 20 q^{92} + 5 q^{93} - 19 q^{94} + 2 q^{95} - 20 q^{96} + 11 q^{97} + 26 q^{98} - 11 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 + 2 * q^4 - 2 * q^5 - 2 * q^6 - 5 * q^7 - q^8 - 2 * q^9 + 2 * q^10 - q^11 - 2 * q^12 - 16 * q^13 - 10 * q^14 + 2 * q^15 + 12 * q^16 - 4 * q^17 - 3 * q^18 + 2 * q^19 - 3 * q^20 - 9 * q^22 + 10 * q^23 - 4 * q^24 - 2 * q^25 + 16 * q^26 + 2 * q^27 - 5 * q^28 - 16 * q^29 + 3 * q^30 - 5 * q^31 - 4 * q^33 + 34 * q^34 + 5 * q^35 + 2 * q^36 - 5 * q^37 + 28 * q^38 + 16 * q^39 - q^40 + 5 * q^41 - 15 * q^42 - 8 * q^43 - 19 * q^44 + 8 * q^45 + 10 * q^46 - q^47 + 3 * q^48 - 11 * q^49 + 2 * q^50 + 4 * q^51 + 26 * q^52 - 15 * q^53 - 2 * q^54 - q^55 + 20 * q^56 + 13 * q^57 - 24 * q^58 + 3 * q^59 + 3 * q^60 - 11 * q^61 - 15 * q^62 - 5 * q^63 - 9 * q^64 + 14 * q^65 - 31 * q^66 + 6 * q^67 + 9 * q^68 + 15 * q^69 - 10 * q^70 + q^71 + 4 * q^72 - 35 * q^73 + 5 * q^74 + 2 * q^75 + 58 * q^76 - 25 * q^77 + 24 * q^78 - 30 * q^79 - 3 * q^80 - 2 * q^81 - 25 * q^82 + 31 * q^83 - 4 * q^85 - 62 * q^86 - 34 * q^87 + 17 * q^88 - 48 * q^89 + 2 * q^90 + 5 * q^91 - 20 * q^92 + 5 * q^93 - 19 * q^94 + 2 * q^95 - 20 * q^96 + 11 * q^97 + 26 * q^98 - 11 * q^99

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