LMFDB - Embedded newform 630.2.bf.c.209.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [630,2,Mod(209,630)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(630, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([1, 3, 3]))

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

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

chi := DirichletCharacter("630.209");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	630.bf (of order $6$, degree $2$, 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:	$5.03057532734$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$4$ over $\Q(\zeta_{6})$
Coefficient field:	8.0.856615824.2
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} + 11x^{6} + 36x^{4} + 32x^{2} + 4 $ x^8 + 11x^6 + 36x^4 + 32*x^2 + 4
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			209.2
Root			$2.06288i$ of defining polynomial
Character	$\chi$	$=$	630.209
Dual form			630.2.bf.c.419.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 - 0.866025i) q^{2} +(-0.574618 - 1.63396i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.574618 + 2.16098i) q^{5} +(-1.70236 - 0.319344i) q^{6} +(-0.00953166 + 2.64573i) q^{7} -1.00000 q^{8} +(-2.33963 + 1.87780i) q^{9} +O(q^{10})$	\(q+(0.500000 - 0.866025i) q^{2} +(-0.574618 - 1.63396i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.574618 + 2.16098i) q^{5} +(-1.70236 - 0.319344i) q^{6} +(-0.00953166 + 2.64573i) q^{7} -1.00000 q^{8} +(-2.33963 + 1.87780i) q^{9} +(1.58415 + 1.57812i) q^{10} +(3.28651 + 1.89747i) q^{11} +(-1.12774 + 1.31461i) q^{12} +(-0.0746185 - 0.129243i) q^{13} +(2.28651 + 1.33112i) q^{14} +(3.86113 - 0.302835i) q^{15} +(-0.500000 + 0.866025i) q^{16} +1.20503i q^{17} +(0.456412 + 2.96508i) q^{18} +5.63865i q^{19} +(2.15877 - 0.582853i) q^{20} +(4.32849 - 1.50471i) q^{21} +(3.28651 - 1.89747i) q^{22} +(-0.946880 - 1.64004i) q^{23} +(0.574618 + 1.63396i) q^{24} +(-4.33963 - 2.48347i) q^{25} -0.149237 q^{26} +(4.41264 + 2.74383i) q^{27} +(2.29604 - 1.31461i) q^{28} +(7.64520 + 4.41396i) q^{29} +(1.66830 - 3.49525i) q^{30} +(-1.41264 + 0.815589i) q^{31} +(0.500000 + 0.866025i) q^{32} +(1.21189 - 6.46033i) q^{33} +(1.04359 + 0.602516i) q^{34} +(-5.71189 - 1.54089i) q^{35} +(2.79604 + 1.08728i) q^{36} +1.53586i q^{37} +(4.88322 + 2.81933i) q^{38} +(-0.168300 + 0.196189i) q^{39} +(0.574618 - 2.16098i) q^{40} +(-3.57462 - 6.19142i) q^{41} +(0.861126 - 4.50094i) q^{42} +(-1.11678 - 0.644776i) q^{43} -3.79493i q^{44} +(-2.71349 - 6.13490i) q^{45} -1.89376 q^{46} +(3.25791 + 1.88096i) q^{47} +(1.70236 + 0.319344i) q^{48} +(-6.99982 - 0.0504365i) q^{49} +(-4.32056 + 2.51649i) q^{50} +(1.96897 - 0.692434i) q^{51} +(-0.0746185 + 0.129243i) q^{52} +3.61601 q^{53} +(4.58255 - 2.44955i) q^{54} +(-5.98886 + 6.01174i) q^{55} +(0.00953166 - 2.64573i) q^{56} +(9.21331 - 3.24007i) q^{57} +(7.64520 - 4.41396i) q^{58} +(-5.28793 - 9.15896i) q^{59} +(-2.19283 - 3.19242i) q^{60} +(3.15936 + 1.82406i) q^{61} +1.63118i q^{62} +(-4.94587 - 6.20793i) q^{63} +1.00000 q^{64} +(0.322168 - 0.0869833i) q^{65} +(-4.98886 - 4.27969i) q^{66} +(-4.16019 + 2.40189i) q^{67} +(1.04359 - 0.602516i) q^{68} +(-2.13567 + 2.48956i) q^{69} +(-4.19039 + 4.17620i) q^{70} +4.54742i q^{71} +(2.33963 - 1.87780i) q^{72} +6.44605 q^{73} +(1.33010 + 0.767931i) q^{74} +(-1.56426 + 8.51781i) q^{75} +(4.88322 - 2.81933i) q^{76} +(-5.05152 + 8.67714i) q^{77} +(0.0857543 + 0.243847i) q^{78} +(-8.64906 + 14.9806i) q^{79} +(-1.58415 - 1.57812i) q^{80} +(1.94771 - 8.78672i) q^{81} -7.14924 q^{82} +(6.11660 + 3.53142i) q^{83} +(-3.46737 - 2.99623i) q^{84} +(-2.60404 - 0.692434i) q^{85} +(-1.11678 + 0.644776i) q^{86} +(2.81914 - 15.0283i) q^{87} +(-3.28651 - 1.89747i) q^{88} +18.2268 q^{89} +(-6.66972 - 0.717495i) q^{90} +(0.342654 - 0.196189i) q^{91} +(-0.946880 + 1.64004i) q^{92} +(2.14437 + 1.83954i) q^{93} +(3.25791 - 1.88096i) q^{94} +(-12.1850 - 3.24007i) q^{95} +(1.12774 - 1.31461i) q^{96} +(-5.13869 + 8.90048i) q^{97} +(-3.54359 + 6.03680i) q^{98} +(-11.2523 + 1.73205i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 4 q^{2} - 4 q^{4} - 3 q^{6} + 2 q^{7} - 8 q^{8}+O(q^{10}) $ 8 * q + 4 * q^2 - 4 * q^4 - 3 * q^6 + 2 * q^7 - 8 * q^8	$ 8 q + 4 q^{2} - 4 q^{4} - 3 q^{6} + 2 q^{7} - 8 q^{8} + 6 q^{10} + 9 q^{11} - 3 q^{12} + 4 q^{13} + q^{14} + 9 q^{15} - 4 q^{16} + 3 q^{18} + 6 q^{20} - 12 q^{21} + 9 q^{22} - 9 q^{23} - 16 q^{25} + 8 q^{26} - 18 q^{27} - q^{28} + 21 q^{29} + 42 q^{31} + 4 q^{32} - 3 q^{33} + 9 q^{34} - 33 q^{35} + 3 q^{36} + 21 q^{38} + 12 q^{39} - 24 q^{41} - 15 q^{42} - 27 q^{43} - 39 q^{45} - 18 q^{46} + 15 q^{47} + 3 q^{48} - 4 q^{49} - 20 q^{50} + 21 q^{51} + 4 q^{52} - 12 q^{53} - 20 q^{55} - 2 q^{56} + 39 q^{57} + 21 q^{58} - 3 q^{59} - 9 q^{60} + 21 q^{61} - 18 q^{63} + 8 q^{64} + 18 q^{65} - 12 q^{66} + 9 q^{68} + 21 q^{69} - 24 q^{70} + 82 q^{73} - 6 q^{74} - 39 q^{75} + 21 q^{76} - 9 q^{77} + 24 q^{78} - 8 q^{79} - 6 q^{80} - 12 q^{81} - 48 q^{82} + 15 q^{83} - 3 q^{84} + 19 q^{85} - 27 q^{86} + 30 q^{87} - 9 q^{88} - 42 q^{89} - 18 q^{90} - 8 q^{91} - 9 q^{92} + 6 q^{93} + 15 q^{94} + 9 q^{95} + 3 q^{96} - 11 q^{97} - 29 q^{98} - 18 q^{99}+O(q^{100}) $ 8 * q + 4 * q^2 - 4 * q^4 - 3 * q^6 + 2 * q^7 - 8 * q^8 + 6 * q^10 + 9 * q^11 - 3 * q^12 + 4 * q^13 + q^14 + 9 * q^15 - 4 * q^16 + 3 * q^18 + 6 * q^20 - 12 * q^21 + 9 * q^22 - 9 * q^23 - 16 * q^25 + 8 * q^26 - 18 * q^27 - q^28 + 21 * q^29 + 42 * q^31 + 4 * q^32 - 3 * q^33 + 9 * q^34 - 33 * q^35 + 3 * q^36 + 21 * q^38 + 12 * q^39 - 24 * q^41 - 15 * q^42 - 27 * q^43 - 39 * q^45 - 18 * q^46 + 15 * q^47 + 3 * q^48 - 4 * q^49 - 20 * q^50 + 21 * q^51 + 4 * q^52 - 12 * q^53 - 20 * q^55 - 2 * q^56 + 39 * q^57 + 21 * q^58 - 3 * q^59 - 9 * q^60 + 21 * q^61 - 18 * q^63 + 8 * q^64 + 18 * q^65 - 12 * q^66 + 9 * q^68 + 21 * q^69 - 24 * q^70 + 82 * q^73 - 6 * q^74 - 39 * q^75 + 21 * q^76 - 9 * q^77 + 24 * q^78 - 8 * q^79 - 6 * q^80 - 12 * q^81 - 48 * q^82 + 15 * q^83 - 3 * q^84 + 19 * q^85 - 27 * q^86 + 30 * q^87 - 9 * q^88 - 42 * q^89 - 18 * q^90 - 8 * q^91 - 9 * q^92 + 6 * q^93 + 15 * q^94 + 9 * q^95 + 3 * q^96 - 11 * q^97 - 29 * q^98 - 18 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/630\mathbb{Z}\right)^\times$.

$n$	$127$	$281$	$451$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$-1$

Coefficient data

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

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

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

$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$3$	−0.574618	−	1.63396i	−0.331756	−	0.943365i
$3$	−0.574618	−	1.63396i	−0.331756	−	0.943365i
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	−0.574618	+	2.16098i	−0.256977	+	0.966417i
$5$	−0.574618	+	2.16098i	−0.256977	+	0.966417i
$6$	−1.70236	−	0.319344i	−0.694984	−	0.130372i
$7$	−0.00953166	+	2.64573i	−0.00360263	+	0.999994i
$7$	−0.00953166	+	2.64573i	−0.00360263	+	0.999994i
$8$	−1.00000			−0.353553
$9$	−2.33963	+	1.87780i	−0.779876	+	0.625934i
$10$	1.58415	+	1.57812i	0.500952	+	0.499046i
$11$	3.28651	+	1.89747i	0.990919	+	0.572107i	0.905549	−	0.424242i	$-0.139459\pi$
$11$	3.28651	+	1.89747i	0.990919	+	0.572107i	0.0853703	+	0.996349i	$0.472793\pi$
$12$	−1.12774	+	1.31461i	−0.325550	+	0.379496i
$13$	−0.0746185	−	0.129243i	−0.0206954	−	0.0358456i	0.855492	−	0.517816i	$-0.173255\pi$
$13$	−0.0746185	−	0.129243i	−0.0206954	−	0.0358456i	−0.876188	+	0.481970i	$0.839921\pi$
$14$	2.28651	+	1.33112i	0.611095	+	0.355757i
$15$	3.86113	−	0.302835i	0.996938	−	0.0781916i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$			1.20503i			0.292263i	0.989265	+	0.146132i	$0.0466823\pi$
$17$			1.20503i			0.292263i	−0.989265	+	0.146132i	$0.953318\pi$
$18$	0.456412	+	2.96508i	0.107577	+	0.698876i
$19$			5.63865i			1.29360i	0.762662	+	0.646798i	$0.223892\pi$
$19$			5.63865i			1.29360i	−0.762662	+	0.646798i	$0.776108\pi$
$20$	2.15877	−	0.582853i	0.482715	−	0.130330i
$21$	4.32849	−	1.50471i	0.944554	−	0.328355i
$22$	3.28651	−	1.89747i	0.700686	−	0.404541i
$23$	−0.946880	−	1.64004i	−0.197438	−	0.341973i	0.750259	−	0.661144i	$-0.229929\pi$
$23$	−0.946880	−	1.64004i	−0.197438	−	0.341973i	−0.947697	+	0.319171i	$0.896595\pi$
$24$	0.574618	+	1.63396i	0.117294	+	0.333530i
$25$	−4.33963	−	2.48347i	−0.867925	−	0.496695i
$26$	−0.149237			−0.0292678
$27$	4.41264	+	2.74383i	0.849213	+	0.528050i
$28$	2.29604	−	1.31461i	0.433911	−	0.248438i
$29$	7.64520	+	4.41396i	1.41968	+	0.819651i	0.996270	−	0.0862882i	$-0.0275006\pi$
$29$	7.64520	+	4.41396i	1.41968	+	0.819651i	0.423407	+	0.905939i	$0.360834\pi$
$30$	1.66830	−	3.49525i	0.304589	−	0.638142i
$31$	−1.41264	+	0.815589i	−0.253718	+	0.146484i	−0.621465	−	0.783442i	$-0.713462\pi$
$31$	−1.41264	+	0.815589i	−0.253718	+	0.146484i	0.367748	+	0.929926i	$0.380129\pi$
$32$	0.500000	+	0.866025i	0.0883883	+	0.153093i
$33$	1.21189	−	6.46033i	0.210963	−	1.12460i
$34$	1.04359	+	0.602516i	0.178974	+	0.103331i
$35$	−5.71189	−	1.54089i	−0.965485	−	0.260457i
$36$	2.79604	+	1.08728i	0.466006	+	0.181213i
$37$			1.53586i			0.252494i	0.991999	+	0.126247i	$0.0402932\pi$
$37$			1.53586i			0.252494i	−0.991999	+	0.126247i	$0.959707\pi$
$38$	4.88322	+	2.81933i	0.792162	+	0.457355i
$39$	−0.168300	+	0.196189i	−0.0269496	+	0.0314153i
$40$	0.574618	−	2.16098i	0.0908552	−	0.341680i
$41$	−3.57462	−	6.19142i	−0.558262	−	0.966937i	−0.997642	−	0.0686363i	$-0.978135\pi$
$41$	−3.57462	−	6.19142i	−0.558262	−	0.966937i	0.439380	−	0.898301i	$-0.355198\pi$
$42$	0.861126	−	4.50094i	0.132875	−	0.694510i
$43$	−1.11678	−	0.644776i	−0.170308	−	0.0983274i	0.412423	−	0.910992i	$-0.364683\pi$
$43$	−1.11678	−	0.644776i	−0.170308	−	0.0983274i	−0.582731	+	0.812665i	$0.698016\pi$
$44$		−	3.79493i		−	0.572107i
$45$	−2.71349	−	6.13490i	−0.404504	−	0.914536i
$46$	−1.89376			−0.279220
$47$	3.25791	+	1.88096i	0.475215	+	0.274366i	0.718420	−	0.695609i	$-0.244865\pi$
$47$	3.25791	+	1.88096i	0.475215	+	0.274366i	−0.243205	+	0.969975i	$0.578199\pi$
$48$	1.70236	+	0.319344i	0.245714	+	0.0460933i
$49$	−6.99982	−	0.0504365i	−0.999974	−	0.00720521i
$50$	−4.32056	+	2.51649i	−0.611020	+	0.355886i
$51$	1.96897	−	0.692434i	0.275711	−	0.0969601i
$52$	−0.0746185	+	0.129243i	−0.0103477	+	0.0179228i
$53$	3.61601			0.496697			0.248349	−	0.968671i	$-0.420112\pi$
$53$	3.61601			0.496697			0.248349	+	0.968671i	$0.420112\pi$
$54$	4.58255	−	2.44955i	0.623606	−	0.333341i
$55$	−5.98886	+	6.01174i	−0.807538	+	0.810623i
$56$	0.00953166	−	2.64573i	0.00127372	−	0.353551i
$57$	9.21331	−	3.24007i	1.22033	−	0.429158i
$58$	7.64520	−	4.41396i	1.00386	−	0.579581i
$59$	−5.28793	−	9.15896i	−0.688430	−	1.19240i	−0.972346	−	0.233546i	$-0.924967\pi$
$59$	−5.28793	−	9.15896i	−0.688430	−	1.19240i	0.283916	−	0.958849i	$-0.408366\pi$
$60$	−2.19283	−	3.19242i	−0.283093	−	0.412139i
$61$	3.15936	+	1.82406i	0.404515	+	0.233547i	0.688430	−	0.725303i	$-0.258300\pi$
$61$	3.15936	+	1.82406i	0.404515	+	0.233547i	−0.283915	+	0.958849i	$0.591634\pi$
$62$			1.63118i			0.207160i
$63$	−4.94587	−	6.20793i	−0.623121	−	0.782126i
$64$	1.00000			0.125000
$65$	0.322168	−	0.0869833i	0.0399600	−	0.0107889i
$66$	−4.98886	−	4.27969i	−0.614087	−	0.526793i
$67$	−4.16019	+	2.40189i	−0.508248	+	0.293437i	−0.732113	−	0.681183i	$-0.761466\pi$
$67$	−4.16019	+	2.40189i	−0.508248	+	0.293437i	0.223865	+	0.974620i	$0.428133\pi$
$68$	1.04359	−	0.602516i	0.126554	−	0.0730658i
$69$	−2.13567	+	2.48956i	−0.257104	+	0.299708i
$70$	−4.19039	+	4.17620i	−0.500847	+	0.499151i
$71$			4.54742i			0.539679i	0.962905	+	0.269840i	$0.0869707\pi$
$71$			4.54742i			0.539679i	−0.962905	+	0.269840i	$0.913029\pi$
$72$	2.33963	−	1.87780i	0.275728	−	0.221301i
$73$	6.44605			0.754453			0.377226	−	0.926121i	$-0.376878\pi$
$73$	6.44605			0.754453			0.377226	+	0.926121i	$0.376878\pi$
$74$	1.33010	+	0.767931i	0.154620	+	0.0892702i
$75$	−1.56426	+	8.51781i	−0.180625	+	0.983552i
$76$	4.88322	−	2.81933i	0.560143	−	0.323399i
$77$	−5.05152	+	8.67714i	−0.575674	+	0.988852i
$78$	0.0857543	+	0.243847i	0.00970976	+	0.0276102i
$79$	−8.64906	+	14.9806i	−0.973095	+	1.68545i	−0.287010	+	0.957927i	$0.592661\pi$
$79$	−8.64906	+	14.9806i	−0.973095	+	1.68545i	−0.686084	+	0.727522i	$0.740672\pi$
$80$	−1.58415	−	1.57812i	−0.177113	−	0.176439i
$81$	1.94771	−	8.78672i	0.216412	−	0.976302i
$82$	−7.14924			−0.789501
$83$	6.11660	+	3.53142i	0.671384	+	0.387624i	0.796601	−	0.604505i	$-0.206629\pi$
$83$	6.11660	+	3.53142i	0.671384	+	0.387624i	−0.125217	+	0.992129i	$0.539963\pi$
$84$	−3.46737	−	2.99623i	−0.378321	−	0.326915i
$85$	−2.60404	−	0.692434i	−0.282448	−	0.0751050i
$86$	−1.11678	+	0.644776i	−0.120426	+	0.0695280i
$87$	2.81914	−	15.0283i	0.302244	−	1.61120i
$88$	−3.28651	−	1.89747i	−0.350343	−	0.202271i
$89$	18.2268			1.93204			0.966018	−	0.258475i	$-0.0832201\pi$
$89$	18.2268			1.93204			0.966018	+	0.258475i	$0.0832201\pi$
$90$	−6.66972	−	0.717495i	−0.703051	−	0.0756306i
$91$	0.342654	−	0.196189i	0.0359199	−	0.0205662i
$92$	−0.946880	+	1.64004i	−0.0987191	+	0.170986i
$93$	2.14437	+	1.83954i	0.222360	+	0.190752i
$94$	3.25791	−	1.88096i	0.336028	−	0.194006i
$95$	−12.1850	−	3.24007i	−1.25015	−	0.332425i
$96$	1.12774	−	1.31461i	0.115099	−	0.134172i
$97$	−5.13869	+	8.90048i	−0.521755	+	0.903706i	0.477925	+	0.878401i	$0.341389\pi$
$97$	−5.13869	+	8.90048i	−0.521755	+	0.903706i	−0.999680	+	0.0253056i	$0.991944\pi$
$98$	−3.54359	+	6.03680i	−0.357956	+	0.609809i
$99$	−11.2523	+	1.73205i	−1.13090	+	0.174078i
$100$	0.0190633	+	4.99996i	0.00190633	+	0.499996i
$101$	7.51095	−	13.0094i	0.747368	−	1.29448i	−0.201712	−	0.979445i	$-0.564651\pi$
$101$	7.51095	−	13.0094i	0.747368	−	1.29448i	0.949080	−	0.315034i	$-0.102016\pi$
$102$	0.384820	−	2.05139i	0.0381028	−	0.203118i
$103$	2.49047	+	4.31362i	0.245393	+	0.425033i	0.962242	−	0.272195i	$-0.0877496\pi$
$103$	2.49047	+	4.31362i	0.245393	+	0.425033i	−0.716849	+	0.697229i	$0.754416\pi$
$104$	0.0746185	+	0.129243i	0.00731694	+	0.0126733i
$105$	0.764417	+	10.2184i	0.0745995	+	0.997214i
$106$	1.80801	−	3.13156i	0.175609	−	0.304164i
$107$	−19.8411			−1.91812			−0.959058	−	0.283211i	$-0.908600\pi$
$107$	−19.8411			−1.91812			−0.959058	+	0.283211i	$0.908600\pi$
$108$	0.169904	−	5.19337i	0.0163491	−	0.499733i
$109$	−8.91567			−0.853966			−0.426983	−	0.904260i	$-0.640424\pi$
$109$	−8.91567			−0.853966			−0.426983	+	0.904260i	$0.640424\pi$
$110$	2.21189	+	8.19238i	0.210895	+	0.781113i
$111$	2.50953	−	0.882535i	0.238194	−	0.0837665i
$112$	−2.28651	−	1.33112i	−0.216055	−	0.125779i
$113$	9.66812	+	16.7457i	0.909500	+	1.57530i	0.814760	+	0.579798i	$0.196869\pi$
$113$	9.66812	+	16.7457i	0.909500	+	1.57530i	0.0947401	+	0.995502i	$0.469798\pi$
$114$	1.80067	−	9.59900i	0.168648	−	0.899029i
$115$	4.08819	−	1.10378i	0.381226	−	0.102928i
$116$		−	8.82791i		−	0.819651i
$117$	0.417272	+	0.162262i	0.0385768	+	0.0150011i
$118$	−10.5759			−0.973587
$119$	−3.18819	−	0.0114860i	−0.292261	−	0.00105292i
$120$	−3.86113	+	0.302835i	−0.352471	+	0.0276449i
$121$	1.70075	+	2.94579i	0.154614	+	0.267799i
$122$	3.15936	−	1.82406i	0.286035	−	0.165142i
$123$	−8.06247	+	9.39848i	−0.726968	+	0.847432i
$124$	1.41264	+	0.815589i	0.126859	+	0.0732421i
$125$	7.86035	−	7.95078i	0.703051	−	0.711139i
$126$	−7.84916	+	1.17928i	−0.699259	+	0.105059i
$127$			3.77271i			0.334774i	0.985891	+	0.167387i	$0.0535329\pi$
$127$			3.77271i			0.334774i	−0.985891	+	0.167387i	$0.946467\pi$
$128$	0.500000	−	0.866025i	0.0441942	−	0.0765466i
$129$	−0.411811	+	2.19528i	−0.0362579	+	0.193283i
$130$	0.0857543	−	0.322497i	0.00752115	−	0.0282849i
$131$	−3.71432	−	6.43340i	−0.324522	−	0.562089i	0.656894	−	0.753983i	$-0.271870\pi$
$131$	−3.71432	−	6.43340i	−0.324522	−	0.562089i	−0.981416	+	0.191895i	$0.938537\pi$
$132$	−6.20075	+	2.18064i	−0.539706	+	0.189800i
$133$	−14.9184	−	0.0537457i	−1.29359	−	0.00466034i
$134$			4.80377i			0.414983i
$135$	−8.46493	+	7.95895i	−0.728545	+	0.684998i
$136$		−	1.20503i		−	0.103331i
$137$	1.62916	−	2.82179i	0.139189	−	0.241082i	−0.788001	−	0.615674i	$-0.788884\pi$
$137$	1.62916	−	2.82179i	0.139189	−	0.241082i	0.927190	+	0.374592i	$0.122217\pi$
$138$	1.08819	+	3.09432i	0.0926328	+	0.263406i
$139$	−13.1406	+	7.58671i	−1.11457	+	0.643496i	−0.940009	−	0.341150i	$-0.889183\pi$
$139$	−13.1406	+	7.58671i	−1.11457	+	0.643496i	−0.174560	+	0.984647i	$0.555850\pi$
$140$	1.52150	+	5.71708i	0.128590	+	0.483182i
$141$	1.20134	−	6.40412i	0.101171	−	0.539324i
$142$	3.93818	+	2.27371i	0.330485	+	0.190805i
$143$		−	0.566344i		−	0.0473601i
$144$	−0.456412	−	2.96508i	−0.0380343	−	0.247090i
$145$	−13.9315	+	13.9847i	−1.15695	+	1.16137i
$146$	3.22302	−	5.58244i	0.266739	−	0.462006i
$147$	3.93981	+	11.4664i	0.324950	+	0.945731i
$148$	1.33010	−	0.767931i	0.109333	−	0.0631235i
$149$	13.5690	−	7.83408i	1.11162	−	0.641793i	0.172370	−	0.985032i	$-0.444857\pi$
$149$	13.5690	−	7.83408i	1.11162	−	0.641793i	0.939248	+	0.343239i	$0.111524\pi$
$150$	6.59451	+	5.61359i	0.538440	+	0.458348i
$151$	3.27454	−	5.67167i	0.266478	−	0.461554i	−0.701472	−	0.712697i	$-0.747473\pi$
$151$	3.27454	−	5.67167i	0.266478	−	0.461554i	0.967950	+	0.251143i	$0.0808066\pi$
$152$		−	5.63865i		−	0.457355i
$153$	−2.26281	−	2.81933i	−0.182938	−	0.227929i
$154$	4.98886	+	8.71331i	0.402014	+	0.702139i
$155$	−0.950738	−	3.52134i	−0.0763651	−	0.282840i
$156$	0.254055	+	0.0476579i	0.0203406	+	0.00381569i
$157$	0.936517	+	1.62210i	0.0747422	+	0.129457i	0.900974	−	0.433873i	$-0.142853\pi$
$157$	0.936517	+	1.62210i	0.0747422	+	0.129457i	−0.826232	+	0.563330i	$0.809520\pi$
$158$	8.64906	+	14.9806i	0.688082	+	1.19179i
$159$	−2.07783	−	5.90840i	−0.164782	−	0.468567i
$160$	−2.15877	+	0.582853i	−0.170666	+	0.0460786i
$161$	4.34815	−	2.48956i	0.342682	−	0.196205i
$162$	−6.63567	−	6.08013i	−0.521347	−	0.477700i
$163$		−	11.8217i		−	0.925950i	−0.886371	−	0.462975i	$-0.846782\pi$
$163$		−	11.8217i		−	0.925950i	0.886371	−	0.462975i	$-0.153218\pi$
$164$	−3.57462	+	6.19142i	−0.279131	+	0.483469i
$165$	13.2642	+	6.33109i	1.03262	+	0.492874i
$166$	6.11660	−	3.53142i	0.474740	−	0.274092i
$167$	17.7912	−	10.2718i	1.37673	−	0.794853i	0.384962	−	0.922932i	$-0.374214\pi$
$167$	17.7912	−	10.2718i	1.37673	−	0.794853i	0.991764	+	0.128079i	$0.0408811\pi$
$168$	−4.32849	+	1.50471i	−0.333950	+	0.116091i
$169$	6.48886	−	11.2390i	0.499143	−	0.864542i
$170$	−1.90169	+	1.90895i	−0.145853	+	0.146410i
$171$	−10.5883	−	13.1923i	−0.809706	−	1.00884i
$172$			1.28955i			0.0983274i
$173$	−11.0191	−	6.36186i	−0.837764	−	0.483683i	0.0187396	−	0.999824i	$-0.494035\pi$
$173$	−11.0191	−	6.36186i	−0.837764	−	0.483683i	−0.856504	+	0.516141i	$0.827368\pi$
$174$	−11.6053	−	9.95558i	−0.879794	−	0.754730i
$175$	6.61197	−	11.4578i	0.499818	−	0.866130i
$176$	−3.28651	+	1.89747i	−0.247730	+	0.143027i
$177$	−11.9268	+	13.9032i	−0.896473	+	1.04503i
$178$	9.11339	−	15.7849i	0.683078	−	1.18313i
$179$		−	6.62035i		−	0.494828i	−0.968910	−	0.247414i	$-0.920419\pi$
$179$		−	6.62035i		−	0.494828i	0.968910	−	0.247414i	$-0.0795807\pi$
$180$	−3.95623	+	5.41740i	−0.294880	+	0.403789i
$181$		−	21.9347i		−	1.63039i	−0.579184	−	0.815197i	$-0.696629\pi$
$181$		−	21.9347i		−	1.63039i	0.579184	−	0.815197i	$-0.303371\pi$
$182$	0.00142248	−	0.394841i	0.000105441	−	0.0292676i
$183$	1.16500	−	6.21039i	0.0861195	−	0.459086i
$184$	0.946880	+	1.64004i	0.0698049	+	0.120906i
$185$	−3.31896	−	0.882535i	−0.244015	−	0.0648852i
$186$	2.66527	−	0.937305i	0.195427	−	0.0687265i
$187$	−2.28651	+	3.96035i	−0.167206	+	0.289609i
$188$		−	3.76191i		−	0.274366i
$189$	−7.30150	+	11.6485i	−0.531106	+	0.847305i
$190$	−8.89848	+	8.93247i	−0.645564	+	0.648030i
$191$	19.7140	+	11.3819i	1.42645	+	0.823563i	0.996839	−	0.0794505i	$-0.0253165\pi$
$191$	19.7140	+	11.3819i	1.42645	+	0.823563i	0.429613	+	0.903013i	$0.358650\pi$
$192$	−0.574618	−	1.63396i	−0.0414695	−	0.117921i
$193$	4.12105	−	2.37929i	0.296640	−	0.171265i	−0.344293	−	0.938862i	$-0.611881\pi$
$193$	4.12105	−	2.37929i	0.296640	−	0.171265i	0.640932	+	0.767597i	$0.278548\pi$
$194$	5.13869	+	8.90048i	0.368937	+	0.639017i
$195$	−0.327251	−	0.476426i	−0.0234349	−	0.0341176i
$196$	3.45623	+	6.08724i	0.246874	+	0.434803i
$197$	−20.7900			−1.48123			−0.740613	−	0.671932i	$-0.765465\pi$
$197$	−20.7900			−1.48123			−0.740613	+	0.671932i	$0.765465\pi$
$198$	−4.12613	+	10.6108i	−0.293232	+	0.754075i
$199$		−	13.7886i		−	0.977445i	−0.872439	−	0.488722i	$-0.837463\pi$
$199$		−	13.7886i		−	0.977445i	0.872439	−	0.488722i	$-0.162537\pi$
$200$	4.33963	+	2.48347i	0.306858	+	0.175608i
$201$	6.31510	+	5.41740i	0.445433	+	0.382114i
$202$	−7.51095	−	13.0094i	−0.528469	−	0.915335i
$203$	−11.7510	+	20.1851i	−0.824760	+	1.41672i
$204$	−1.58415	−	1.35896i	−0.110913	−	0.0951463i
$205$	15.4335	−	4.16696i	1.07793	−	0.291033i
$206$	4.98094			0.347038
$207$	5.29503	+	2.05904i	0.368030	+	0.143113i
$208$	0.149237			0.0103477
$209$	−10.6991	+	18.5315i	−0.740076	+	1.28185i
$210$	9.23160	+	4.44719i	0.637041	+	0.306886i
$211$	−6.42057	−	11.1208i	−0.442010	−	0.765584i	0.555828	−	0.831297i	$-0.312401\pi$
$211$	−6.42057	−	11.1208i	−0.442010	−	0.765584i	−0.997839	+	0.0657130i	$0.979068\pi$
$212$	−1.80801	−	3.13156i	−0.124174	−	0.215076i
$213$	7.43028	−	2.61303i	0.509115	−	0.179042i
$214$	−9.92057	+	17.1829i	−0.678156	+	1.17460i
$215$	2.03507	−	2.04284i	0.138791	−	0.139321i
$216$	−4.41264	−	2.74383i	−0.300242	−	0.186694i
$217$	−2.14437	−	3.74525i	−0.145569	−	0.254244i
$218$	−4.45783	+	7.72120i	−0.301923	+	0.522945i
$219$	−3.70402	−	10.5326i	−0.250294	−	0.711725i
$220$	8.20075	+	2.18064i	0.552895	+	0.147019i
$221$	0.155742	−	0.0899177i	0.0104763	−	0.00604852i
$222$	0.490468	−	2.61459i	0.0329181	−	0.175479i
$223$	6.61500	−	11.4575i	0.442973	−	0.767252i	−0.554935	−	0.831893i	$-0.687257\pi$
$223$	6.61500	−	11.4575i	0.442973	−	0.767252i	0.997909	+	0.0646415i	$0.0205904\pi$
$224$	−2.29604	+	1.31461i	−0.153411	+	0.0878362i
$225$	14.8166	−	2.33857i	0.987772	−	0.155904i
$226$	19.3362			1.28623
$227$	0.461224	+	0.266288i	0.0306125	+	0.0176741i	0.515228	−	0.857053i	$-0.327707\pi$
$227$	0.461224	+	0.266288i	0.0306125	+	0.0176741i	−0.484616	+	0.874727i	$0.661041\pi$
$228$	−7.41264	−	6.35892i	−0.490914	−	0.421130i
$229$	9.77216	−	5.64196i	0.645763	−	0.372831i	−0.141068	−	0.990000i	$-0.545054\pi$
$229$	9.77216	−	5.64196i	0.645763	−	0.372831i	0.786831	+	0.617169i	$0.211720\pi$
$230$	1.08819	−	4.09237i	0.0717531	−	0.269843i
$231$	17.0808	+	3.26791i	1.12383	+	0.215013i
$232$	−7.64520	−	4.41396i	−0.501932	−	0.289790i
$233$	20.3383			1.33240			0.666202	−	0.745771i	$-0.267919\pi$
$233$	20.3383			1.33240			0.666202	+	0.745771i	$0.267919\pi$
$234$	0.349159	−	0.280238i	0.0228252	−	0.0183197i
$235$	−5.93676	+	5.95943i	−0.387271	+	0.388751i
$236$	−5.28793	+	9.15896i	−0.344215	+	0.596198i
$237$	29.4476	+	5.52405i	1.91282	+	0.358825i
$238$	−1.60404	+	2.75531i	−0.103975	+	0.178601i
$239$	−16.4858	+	9.51810i	−1.06638	+	0.615675i	−0.927190	−	0.374591i	$-0.877783\pi$
$239$	−16.4858	+	9.51810i	−1.06638	+	0.615675i	−0.139190	+	0.990266i	$0.544450\pi$
$240$	−1.66830	+	3.49525i	−0.107688	+	0.225617i
$241$	−18.5631	−	10.7174i	−1.19576	−	0.690370i	−0.236149	−	0.971717i	$-0.575886\pi$
$241$	−18.5631	−	10.7174i	−1.19576	−	0.690370i	−0.959606	+	0.281347i	$0.909219\pi$
$242$	3.40151			0.218657
$243$	−15.4763	+	1.86654i	−0.992805	+	0.119738i
$244$		−	3.64811i		−	0.233547i
$245$	4.13122	−	15.0975i	0.263934	−	0.964541i
$246$	4.10808	+	11.6815i	0.261922	+	0.744788i
$247$	0.728756	−	0.420748i	0.0463697	−	0.0267715i
$248$	1.41264	−	0.815589i	0.0897028	−	0.0517900i
$249$	2.25548	−	12.0235i	0.142935	−	0.761957i
$250$	−2.95540	−	10.7827i	−0.186916	−	0.681955i
$251$	−6.46190			−0.407872			−0.203936	−	0.978984i	$-0.565373\pi$
$251$	−6.46190			−0.407872			−0.203936	+	0.978984i	$0.565373\pi$
$252$	−2.90329	+	7.38721i	−0.182890	+	0.465351i
$253$		−	7.18669i		−	0.451823i
$254$	3.26726	+	1.88635i	0.205006	+	0.118360i
$255$	0.364926	+	4.65278i	0.0228525	+	0.291368i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	0.640749	−	0.369936i	0.0399688	−	0.0230760i	−0.479882	−	0.877333i	$-0.659321\pi$
$257$	0.640749	−	0.369936i	0.0399688	−	0.0230760i	0.519851	+	0.854257i	$0.325987\pi$
$258$	1.69526	+	1.45428i	0.105542	+	0.0905393i
$259$	−4.06348	−	0.0146393i	−0.252493	−	0.000909642i
$260$	−0.236414	−	0.235514i	−0.0146618	−	0.0146060i
$261$	−26.1755	+	4.02916i	−1.62022	+	0.249399i
$262$	−7.42865			−0.458943
$263$	9.56046	−	16.5592i	0.589523	−	1.02108i	−0.404772	−	0.914418i	$-0.632649\pi$
$263$	9.56046	−	16.5592i	0.589523	−	1.02108i	0.994295	−	0.106666i	$-0.0340176\pi$
$264$	−1.21189	+	6.46033i	−0.0745866	+	0.397606i
$265$	−2.07783	+	7.81411i	−0.127640	+	0.480017i
$266$	−7.50573	+	12.8928i	−0.460206	+	0.790509i
$267$	−10.4734	−	29.7818i	−0.640965	−	1.82262i
$268$	4.16019	+	2.40189i	0.254124	+	0.146719i
$269$	−0.268487			−0.0163699			−0.00818497	−	0.999967i	$-0.502605\pi$
$269$	−0.268487			−0.0163699			−0.00818497	+	0.999967i	$0.502605\pi$
$270$	2.66019	+	11.3103i	0.161894	+	0.688324i
$271$			14.0763i			0.855075i	0.903998	+	0.427538i	$0.140619\pi$
$271$			14.0763i			0.855075i	−0.903998	+	0.427538i	$0.859381\pi$
$272$	−1.04359	−	0.602516i	−0.0632768	−	0.0365329i
$273$	−0.517459	−	0.447148i	−0.0313181	−	0.0270626i
$274$	−1.62916	−	2.82179i	−0.0984212	−	0.170471i
$275$	−9.54991	−	16.3962i	−0.575881	−	0.988731i
$276$	3.22386	+	0.604761i	0.194053	+	0.0364023i
$277$	9.56209	+	5.52068i	0.574530	+	0.331705i	0.758957	−	0.651141i	$-0.225709\pi$
$277$	9.56209	+	5.52068i	0.574530	+	0.331705i	−0.184426	+	0.982846i	$0.559043\pi$
$278$			15.1734i			0.910041i
$279$	1.77354	−	4.56084i	0.106179	−	0.273050i
$280$	5.71189	+	1.54089i	0.341351	+	0.0920855i
$281$	−2.62771	−	1.51711i	−0.156756	−	0.0905031i	0.419570	−	0.907723i	$-0.362181\pi$
$281$	−2.62771	−	1.51711i	−0.156756	−	0.0905031i	−0.576326	+	0.817220i	$0.695514\pi$
$282$	−4.94546	−	4.24245i	−0.294498	−	0.252634i
$283$	7.34696	+	12.7253i	0.436732	+	0.756441i	0.997435	−	0.0715752i	$-0.0228026\pi$
$283$	7.34696	+	12.7253i	0.436732	+	0.756441i	−0.560704	+	0.828017i	$0.689469\pi$
$284$	3.93818	−	2.27371i	0.233688	−	0.134920i
$285$	1.70758	+	21.7715i	0.101148	+	1.28963i
$286$	−0.490468	−	0.283172i	−0.0290020	−	0.0167443i
$287$	16.4149	−	9.39848i	0.968942	−	0.554774i
$288$	−2.79604	−	1.08728i	−0.164758	−	0.0640683i
$289$	15.5479			0.914582
$290$	5.14538	+	19.0574i	0.302147	+	1.11909i
$291$	17.4958	+	3.28202i	1.02562	+	0.192396i
$292$	−3.22302	−	5.58244i	−0.188613	−	0.326688i
$293$	−15.4050	+	8.89405i	−0.899967	+	0.519596i	−0.877189	−	0.480144i	$-0.840584\pi$
$293$	−15.4050	+	8.89405i	−0.899967	+	0.519596i	−0.0227775	+	0.999741i	$0.507251\pi$
$294$	11.9001	+	2.32121i	0.694027	+	0.135376i
$295$	22.8308	−	6.16418i	1.32926	−	0.358892i
$296$		−	1.53586i		−	0.0892702i
$297$	9.29586	+	17.3904i	0.539400	+	1.00910i
$298$		−	15.6682i		−	0.907633i
$299$	−0.141309	+	0.244755i	−0.00817214	+	0.0141546i
$300$	8.15877	−	2.90422i	0.471047	−	0.167675i
$301$	1.71655	−	2.94857i	0.0989403	−	0.169953i
$302$	−3.27454	−	5.67167i	−0.188429	−	0.326368i
$303$	−25.5727	−	4.79716i	−1.46911	−	0.275589i
$304$	−4.88322	−	2.81933i	−0.280072	−	0.161699i
$305$	−5.75717	+	5.77916i	−0.329655	+	0.330914i
$306$	−3.57301	+	0.549991i	−0.204256	+	0.0314409i
$307$	20.5738			1.17421			0.587105	−	0.809511i	$-0.300267\pi$
$307$	20.5738			1.17421			0.587105	+	0.809511i	$0.300267\pi$
$308$	10.0404	+	0.0361720i	0.572104	+	0.00206109i
$309$	5.61719	−	6.54800i	0.319551	−	0.372503i
$310$	−3.52493	−	0.937305i	−0.200203	−	0.0532353i
$311$	2.87470	+	4.97912i	0.163009	+	0.282340i	0.935946	−	0.352142i	$-0.114547\pi$
$311$	2.87470	+	4.97912i	0.163009	+	0.282340i	−0.772937	+	0.634482i	$0.781213\pi$
$312$	0.168300	−	0.196189i	0.00952813	−	0.0111070i
$313$	−3.40412	+	5.89611i	−0.192412	+	0.333268i	−0.946049	−	0.324023i	$-0.894964\pi$
$313$	−3.40412	+	5.89611i	−0.192412	+	0.333268i	0.753637	+	0.657291i	$0.228298\pi$
$314$	1.87303			0.105701
$315$	16.2572	−	7.12070i	0.915988	−	0.401206i
$316$	17.2981			0.973095
$317$	15.0825	−	26.1237i	0.847120	−	1.46726i	−0.0366470	−	0.999328i	$-0.511668\pi$
$317$	15.0825	−	26.1237i	0.847120	−	1.46726i	0.883767	−	0.467927i	$-0.154999\pi$
$318$	−6.15574	−	1.15475i	−0.345197	−	0.0647552i
$319$	16.7507	+	29.0130i	0.937857	+	1.62442i
$320$	−0.574618	+	2.16098i	−0.0321221	+	0.120802i
$321$	11.4011	+	32.4196i	0.636346	+	1.80948i
$322$	0.0180507	−	5.01039i	0.00100592	−	0.279218i
$323$	−6.79476			−0.378070
$324$	−8.58338	+	2.70659i	−0.476854	+	0.150366i
$325$	0.00284495	+	0.746179i	0.000157809	+	0.0413906i
$326$	−10.2379	−	5.91087i	−0.567026	−	0.327373i
$327$	5.12311	+	14.5678i	0.283309	+	0.805602i
$328$	3.57462	+	6.19142i	0.197375	+	0.341864i
$329$	−5.00756	+	8.60164i	−0.276076	+	0.474224i
$330$	12.1150	−	8.32162i	0.666909	−	0.458090i
$331$	−12.7000	+	21.9970i	−0.698054	+	1.20907i	0.271086	+	0.962555i	$0.412617\pi$
$331$	−12.7000	+	21.9970i	−0.698054	+	1.20907i	−0.969140	+	0.246510i	$0.920716\pi$
$332$		−	7.06284i		−	0.387624i
$333$	−2.88405	−	3.59334i	−0.158045	−	0.196914i
$334$		−	20.5435i		−	1.12409i
$335$	−2.79990	−	10.3702i	−0.152975	−	0.566587i
$336$	−0.861126	+	4.50094i	−0.0469783	+	0.245546i
$337$	−30.3239	+	17.5075i	−1.65185	+	0.953695i	−0.675537	+	0.737326i	$0.736088\pi$
$337$	−30.3239	+	17.5075i	−1.65185	+	0.953695i	−0.976312	+	0.216369i	$0.930579\pi$
$338$	−6.48886	−	11.2390i	−0.352948	−	0.611323i
$339$	21.8062	−	25.4197i	1.18435	−	1.38061i
$340$	0.702357	+	2.60139i	0.0380907	+	0.141080i
$341$	−6.19021			−0.335219
$342$	−16.7190	+	2.57355i	−0.904062	+	0.139161i
$343$	0.200161	−	18.5192i	0.0108077	−	0.999942i
$344$	1.11678	+	0.644776i	0.0602130	+	0.0347640i
$345$	−4.15268	−	6.04567i	−0.223573	−	0.325488i
$346$	−11.0191	+	6.36186i	−0.592389	+	0.342016i
$347$	2.08172	+	3.60564i	0.111752	+	0.193561i	0.916477	−	0.400088i	$-0.131020\pi$
$347$	2.08172	+	3.60564i	0.111752	+	0.193561i	−0.804725	+	0.593648i	$0.797687\pi$
$348$	−14.4244	+	5.07268i	−0.773230	+	0.271924i
$349$	11.0980	+	6.40743i	0.594062	+	0.342982i	0.766702	−	0.642003i	$-0.221896\pi$
$349$	11.0980	+	6.40743i	0.594062	+	0.342982i	−0.172640	+	0.984985i	$0.555230\pi$
$350$	−6.61678	−	11.4550i	−0.353682	−	0.612298i
$351$	0.0253560	−	0.775043i	0.00135340	−	0.0413688i
$352$			3.79493i			0.202271i
$353$	−0.340188	−	0.196408i	−0.0181064	−	0.0104537i	0.490919	−	0.871205i	$-0.336661\pi$
$353$	−0.340188	−	0.196408i	−0.0181064	−	0.0104537i	−0.509026	+	0.860751i	$0.669994\pi$
$354$	6.07708	+	17.2805i	0.322993	+	0.918448i
$355$	−9.82686	−	2.61303i	−0.521555	−	0.138685i
$356$	−9.11339	−	15.7849i	−0.483009	−	0.836596i
$357$	1.81323	+	5.21597i	0.0959662	+	0.276058i
$358$	−5.73339	−	3.31017i	−0.303019	−	0.174948i
$359$		−	27.1354i		−	1.43215i	−0.698024	−	0.716075i	$-0.745937\pi$
$359$		−	27.1354i		−	1.43215i	0.698024	−	0.716075i	$-0.254063\pi$
$360$	2.71349	+	6.13490i	0.143014	+	0.323337i
$361$	−12.7944			−0.673389
$362$	−18.9960	−	10.9674i	−0.998409	−	0.576431i
$363$	3.83601	−	4.47166i	0.201338	−	0.234701i
$364$	−0.341231	−	0.198653i	−0.0178854	−	0.0104122i
$365$	−3.70402	+	13.9298i	−0.193877	+	0.729117i
$366$	−4.79586	−	4.11412i	−0.250683	−	0.215048i
$367$	9.37309	−	16.2347i	0.489271	−	0.847443i	−0.510652	−	0.859787i	$-0.670596\pi$
$367$	9.37309	−	16.2347i	0.489271	−	0.847443i	0.999924	+	0.0123443i	$0.00392941\pi$
$368$	1.89376			0.0987191
$369$	19.9895	+	7.77319i	1.04061	+	0.404656i
$370$	−2.42378	+	2.43304i	−0.126006	+	0.126488i
$371$	−0.0344666	+	9.56700i	−0.00178942	+	0.496694i
$372$	0.520907	−	2.77685i	0.0270078	−	0.143973i
$373$	32.4758	−	18.7499i	1.68154	−	0.970835i	0.720894	−	0.693046i	$-0.243732\pi$
$373$	32.4758	−	18.7499i	1.68154	−	0.970835i	0.960642	−	0.277790i	$-0.0896018\pi$
$374$	2.28651	+	3.96035i	0.118232	+	0.204785i
$375$	−17.5079	−	8.27481i	−0.904105	−	0.427309i
$376$	−3.25791	−	1.88096i	−0.168014	−	0.0970029i
$377$		−	1.31745i		−	0.0678522i
$378$	6.43717	+	12.1475i	0.331092	+	0.624802i
$379$	7.92541			0.407101			0.203550	−	0.979064i	$-0.434752\pi$
$379$	7.92541			0.407101			0.203550	+	0.979064i	$0.434752\pi$
$380$	3.28651	+	12.1725i	0.168594	+	0.624438i
$381$	6.16444	−	2.16787i	0.315814	−	0.111063i
$382$	19.7140	−	11.3819i	1.00865	−	0.582347i
$383$	−6.59042	+	3.80498i	−0.336755	+	0.194425i	−0.658836	−	0.752287i	$-0.728951\pi$
$383$	−6.59042	+	3.80498i	−0.336755	+	0.194425i	0.322081	+	0.946712i	$0.395618\pi$
$384$	−1.70236	−	0.319344i	−0.0868730	−	0.0162965i
$385$	−15.8484	−	15.9022i	−0.807709	−	0.810453i
$386$		−	4.75858i		−	0.242205i
$387$	3.82362	−	0.588566i	0.194366	−	0.0299185i
$388$	10.2774			0.521755
$389$	3.57663	+	2.06497i	0.181342	+	0.104698i	0.587923	−	0.808917i	$-0.299946\pi$
$389$	3.57663	+	2.06497i	0.181342	+	0.104698i	−0.406581	+	0.913615i	$0.633279\pi$
$390$	−0.576223	+	0.0451941i	−0.0291782	+	0.00228849i
$391$	1.97631	−	1.14102i	0.0999461	−	0.0577039i
$392$	6.99982	+	0.0504365i	0.353544	+	0.00254743i
$393$	−8.37757	+	9.76579i	−0.422593	+	0.492619i
$394$	−10.3950	+	18.0047i	−0.523693	+	0.907062i
$395$	−27.4028	−	27.2985i	−1.37878	−	1.37354i
$396$	7.12613	+	8.87873i	0.358102	+	0.446173i
$397$	23.0224			1.15546			0.577730	−	0.816228i	$-0.303939\pi$
$397$	23.0224			1.15546			0.577730	+	0.816228i	$0.303939\pi$
$398$	−11.9412	−	6.89428i	−0.598560	−	0.345579i
$399$	8.48455	+	24.4069i	0.424759	+	1.22187i
$400$	4.32056	−	2.51649i	0.216028	−	0.125825i
$401$	10.2594	−	5.92326i	0.512330	−	0.295794i	−0.221461	−	0.975169i	$-0.571083\pi$
$401$	10.2594	−	5.92326i	0.512330	−	0.295794i	0.733791	+	0.679376i	$0.237749\pi$
$402$	7.84916	−	2.76034i	0.391480	−	0.137673i
$403$	0.210818	+	0.121716i	0.0105016	+	0.00606311i
$404$	−15.0219			−0.747368
$405$	17.8687	+	9.25797i	0.887902	+	0.460032i
$406$	11.6053	+	20.2692i	0.575961	+	1.00595i
$407$	−2.91425	+	5.04762i	−0.144454	+	0.250201i
$408$	−1.96897	+	0.692434i	−0.0974785	+	0.0342806i
$409$	−25.4723	+	14.7065i	−1.25953	+	0.727187i	−0.972982	−	0.230880i	$-0.925840\pi$
$409$	−25.4723	+	14.7065i	−1.25953	+	0.727187i	−0.286543	+	0.958067i	$0.592506\pi$
$410$	4.10808	−	15.4493i	0.202884	−	0.762988i
$411$	−5.54683	−	1.04053i	−0.273605	−	0.0513253i
$412$	2.49047	−	4.31362i	0.122697	−	0.212517i
$413$	24.2826	−	13.9032i	1.19487	−	0.684130i
$414$	4.43069	−	3.55611i	0.217757	−	0.174773i
$415$	−11.1460	+	11.1886i	−0.547137	+	0.549227i
$416$	0.0746185	−	0.129243i	0.00365847	−	0.00633666i
$417$	19.9472	+	17.1116i	0.976817	+	0.837961i
$418$	10.6991	+	18.5315i	0.523312	+	0.906404i
$419$	10.5412	+	18.2578i	0.514969	+	0.891953i	0.999849	+	0.0173719i	$0.00552992\pi$
$419$	10.5412	+	18.2578i	0.514969	+	0.891953i	−0.484880	+	0.874581i	$0.661137\pi$
$420$	8.46718	−	5.77120i	0.413156	−	0.281606i
$421$	16.0933	−	27.8744i	0.784340	−	1.35852i	−0.145052	−	0.989424i	$-0.546335\pi$
$421$	16.0933	−	27.8744i	0.784340	−	1.35852i	0.929392	−	0.369093i	$-0.120332\pi$
$422$	−12.8411			−0.625097
$423$	−11.1544	+	1.71698i	−0.542344	+	0.0834825i
$424$	−3.61601			−0.175609
$425$	2.99266	−	5.22939i	0.145166	−	0.253663i
$426$	1.45219	−	7.74133i	0.0703589	−	0.375069i
$427$	−4.85608	+	8.34144i	−0.235002	+	0.403671i
$428$	9.92057	+	17.1829i	0.479529	+	0.830568i
$429$	−0.925382	+	0.325432i	−0.0446778	+	0.0157120i
$430$	−0.751619	−	2.78384i	−0.0362463	−	0.134249i
$431$		−	13.9409i		−	0.671511i	−0.941949	−	0.335755i	$-0.891008\pi$
$431$		−	13.9409i		−	0.671511i	0.941949	−	0.335755i	$-0.108992\pi$
$432$	−4.58255	+	2.44955i	−0.220478	+	0.117854i
$433$	18.9125			0.908875			0.454437	−	0.890779i	$-0.349840\pi$
$433$	18.9125			0.908875			0.454437	+	0.890779i	$0.349840\pi$
$434$	−4.31566	−	0.0155478i	−0.207158	−	0.000746320i
$435$	30.8558	+	14.7276i	1.47942	+	0.706135i
$436$	4.45783	+	7.72120i	0.213492	+	0.369778i
$437$	9.24764	−	5.33913i	0.442375	−	0.255405i
$438$	−10.9735	−	2.05851i	−0.524333	−	0.0983593i
$439$	3.81557	+	2.20292i	0.182107	+	0.105140i	0.588282	−	0.808656i	$-0.299804\pi$
$439$	3.81557	+	2.20292i	0.182107	+	0.105140i	−0.406175	+	0.913795i	$0.633138\pi$
$440$	5.98886	−	6.01174i	0.285508	−	0.286599i
$441$	16.4717	−	13.0263i	0.784365	−	0.620299i
$442$		−	0.179835i		−	0.00855389i
$443$	−3.27436	+	5.67136i	−0.155569	+	0.269454i	−0.933266	−	0.359185i	$-0.883055\pi$
$443$	−3.27436	+	5.67136i	−0.155569	+	0.269454i	0.777697	+	0.628640i	$0.216388\pi$
$444$	−2.01906	−	1.73205i	−0.0958205	−	0.0821995i
$445$	−10.4734	+	39.3876i	−0.496489	+	1.86715i
$446$	−6.61500	−	11.4575i	−0.313229	−	0.542529i
$447$	−20.5976	−	17.6696i	−0.974232	−	0.835743i
$448$	−0.00953166	+	2.64573i	−0.000450328	+	0.124999i
$449$		−	1.32226i		−	0.0624012i	−0.999513	−	0.0312006i	$-0.990067\pi$
$449$		−	1.32226i		−	0.0624012i	0.999513	−	0.0312006i	$-0.00993308\pi$
$450$	5.38303	−	14.0008i	0.253759	−	0.660005i
$451$		−	27.1309i		−	1.27754i
$452$	9.66812	−	16.7457i	0.454750	−	0.787650i
$453$	−11.1489	−	2.09141i	−0.523820	−	0.0982630i
$454$	0.461224	−	0.266288i	0.0216463	−	0.0124975i
$455$	0.227064	+	0.853200i	0.0106449	+	0.0399986i
$456$	−9.21331	+	3.24007i	−0.431453	+	0.151730i
$457$	30.3212	+	17.5060i	1.41837	+	0.818894i	0.996155	−	0.0876033i	$-0.0279208\pi$
$457$	30.3212	+	17.5060i	1.41837	+	0.818894i	0.422211	+	0.906498i	$0.361254\pi$
$458$		−	11.2839i		−	0.527263i
$459$	−3.30640	+	5.31737i	−0.154330	+	0.248194i
$460$	−3.00000	−	2.98858i	−0.139876	−	0.139343i
$461$	−9.71047	+	16.8190i	−0.452261	+	0.783340i	−0.998526	−	0.0542727i	$-0.982716\pi$
$461$	−9.71047	+	16.8190i	−0.452261	+	0.783340i	0.546265	+	0.837613i	$0.316049\pi$
$462$	11.3705	−	13.1584i	0.529002	−	0.612185i
$463$	3.68815	−	2.12936i	0.171403	−	0.0989596i	−0.411844	−	0.911254i	$-0.635115\pi$
$463$	3.68815	−	2.12936i	0.171403	−	0.0989596i	0.583247	+	0.812295i	$0.301782\pi$
$464$	−7.64520	+	4.41396i	−0.354919	+	0.204913i
$465$	−5.20740	+	3.57689i	−0.241487	+	0.165874i
$466$	10.1691	−	17.6135i	0.471076	−	0.815927i
$467$			35.2501i			1.63118i	0.578630	+	0.815590i	$0.303588\pi$
$467$			35.2501i			1.63118i	−0.578630	+	0.815590i	$0.696412\pi$
$468$	−0.0681135	−	0.442499i	−0.00314855	−	0.0204545i
$469$	−6.31510	−	11.0297i	−0.291604	−	0.509302i
$470$	2.19264	+	8.12110i	0.101139	+	0.374598i
$471$	2.11229	−	2.46231i	0.0973293	−	0.113457i
$472$	5.28793	+	9.15896i	0.243397	+	0.421575i
$473$	−2.44688	−	4.23812i	−0.112508	−	0.194869i
$474$	19.5077	−	22.7403i	0.896020	−	1.04450i
$475$	14.0034	−	24.4696i	0.642522	−	1.12274i
$476$	1.58415	+	2.76680i	0.0726094	+	0.126816i
$477$	−8.46012	+	6.79016i	−0.387362	+	0.310900i
$478$			19.0362i			0.870696i
$479$	7.78289	−	13.4804i	0.355609	−	0.615933i	−0.631613	−	0.775284i	$-0.717607\pi$
$479$	7.78289	−	13.4804i	0.355609	−	0.615933i	0.987222	+	0.159351i	$0.0509401\pi$
$480$	2.19283	+	3.19242i	0.100088	+	0.145713i
$481$	0.198499	−	0.114604i	0.00905079	−	0.00522548i
$482$	−18.5631	+	10.7174i	−0.845527	+	0.488165i
$483$	−6.56636	−	5.67413i	−0.298780	−	0.258182i
$484$	1.70075	−	2.94579i	0.0773069	−	0.133900i
$485$	−16.2809	−	16.2190i	−0.739279	−	0.736465i
$486$	−6.12169	+	14.3361i	−0.277685	+	0.650301i
$487$			32.4015i			1.46825i	0.679013	+	0.734126i	$0.262408\pi$
$487$			32.4015i			1.46825i	−0.679013	+	0.734126i	$0.737592\pi$
$488$	−3.15936	−	1.82406i	−0.143018	−	0.0825712i
$489$	−19.3162	+	6.79299i	−0.873509	+	0.307190i
$490$	−11.0092	−	11.1265i	−0.497344	−	0.502642i
$491$	−12.4935	+	7.21315i	−0.563826	+	0.325525i	−0.754680	−	0.656094i	$-0.772208\pi$
$491$	−12.4935	+	7.21315i	−0.563826	+	0.325525i	0.190854	+	0.981618i	$0.438874\pi$
$492$	12.1706	+	2.28307i	0.548691	+	0.102929i
$493$	−5.31896	+	9.21271i	−0.239554	+	0.414920i
$494$		−	0.841495i		−	0.0378607i
$495$	2.72284	−	25.3111i	0.122383	−	1.13765i
$496$		−	1.63118i		−	0.0732421i
$497$	−12.0313	−	0.0433444i	−0.539676	−	0.00194426i
$498$	−9.28490	−	7.96504i	−0.416066	−	0.356922i
$499$	−6.54519	−	11.3366i	−0.293003	−	0.507496i	0.681515	−	0.731804i	$-0.261321\pi$
$499$	−6.54519	−	11.3366i	−0.293003	−	0.507496i	−0.974518	+	0.224308i	$0.927988\pi$
$500$	−10.8158	−	2.83188i	−0.483695	−	0.126645i
$501$	−27.0068	−	23.1677i	−1.20657	−	1.03506i
$502$	−3.23095	+	5.59617i	−0.144204	+	0.249769i
$503$			32.7737i			1.46131i	0.682749	+	0.730653i	$0.260784\pi$
$503$			32.7737i			1.46131i	−0.682749	+	0.730653i	$0.739216\pi$
$504$	4.94587	+	6.20793i	0.220306	+	0.276523i
$505$	23.7970	+	23.7064i	1.05895	+	1.05492i
$506$	−6.22386	−	3.59334i	−0.276684	−	0.159744i
$507$	−22.0927	−	4.14436i	−0.981172	−	0.184057i
$508$	3.26726	−	1.88635i	0.144961	−	0.0836935i
$509$	−10.3786	−	17.9762i	−0.460023	−	0.796783i	0.538939	−	0.842345i	$-0.318825\pi$
$509$	−10.3786	−	17.9762i	−0.460023	−	0.796783i	−0.998962	+	0.0455623i	$0.985492\pi$
$510$	4.21189	+	2.01036i	0.186506	+	0.0890200i
$511$	−0.0614415	+	17.0545i	−0.00271801	+	0.754448i
$512$	−1.00000			−0.0441942
$513$	−15.4715	+	24.8813i	−0.683083	+	1.09854i
$514$		−	0.739873i		−	0.0326344i
$515$	−10.7527	+	2.90316i	−0.473820	+	0.127928i
$516$	2.10707	−	0.741000i	0.0927586	−	0.0326207i
$517$	7.13810	+	12.3636i	0.313933	+	0.543748i
$518$	−2.04442	+	3.51176i	−0.0898266	+	0.154298i
$519$	−4.06324	+	21.6603i	−0.178357	+	0.950782i
$520$	−0.322168	+	0.0869833i	−0.0141280	+	0.00381447i
$521$	6.40922			0.280793			0.140397	−	0.990095i	$-0.455162\pi$
$521$	6.40922			0.280793			0.140397	+	0.990095i	$0.455162\pi$
$522$	−9.59837	+	24.6832i	−0.420109	+	1.08035i
$523$	39.5630			1.72997			0.864985	−	0.501797i	$-0.167328\pi$
$523$	39.5630			1.72997			0.864985	+	0.501797i	$0.167328\pi$
$524$	−3.71432	+	6.43340i	−0.162261	+	0.281044i
$525$	−22.5210	−	4.21979i	−0.982895	−	0.184167i
$526$	−9.56046	−	16.5592i	−0.416856	−	0.722015i
$527$	−0.982811	−	1.70228i	−0.0428119	−	0.0741524i
$528$	4.98886	+	4.27969i	0.217112	+	0.186250i
$529$	9.70684	−	16.8127i	0.422036	−	0.730988i
$530$	5.72830	+	5.70651i	0.248822	+	0.247875i
$531$	29.5705	+	11.4989i	1.28325	+	0.499008i
$532$	7.41264	+	12.9466i	0.321379	+	0.561305i
$533$	−0.533465	+	0.923989i	−0.0231069	+	0.0400224i
$534$	−31.0285	−	5.82062i	−1.34273	−	0.251883i
$535$	11.4011	−	42.8762i	0.492912	−	1.85370i
$536$	4.16019	−	2.40189i	0.179693	−	0.103746i
$537$	−10.8174	+	3.80417i	−0.466803	+	0.164162i
$538$	−0.134244	+	0.232517i	−0.00578765	+	0.0100245i
$539$	−22.9093	−	13.4477i	−0.986771	−	0.579232i
$540$	11.1251	+	3.35137i	0.478749	+	0.144220i
$541$	−41.5026			−1.78434			−0.892169	−	0.451702i	$-0.850817\pi$
$541$	−41.5026			−1.78434			−0.892169	+	0.451702i	$0.850817\pi$
$542$	12.1904	+	7.03816i	0.523625	+	0.302315i
$543$	−35.8404	+	12.6041i	−1.53806	+	0.540893i
$544$	−1.04359	+	0.602516i	−0.0447435	+	0.0258327i
$545$	5.12311	−	19.2665i	0.219450	−	0.825288i
$546$	−0.645971	+	0.224559i	−0.0276450	+	0.00961023i
$547$	−26.7951	−	15.4702i	−1.14568	−	0.661457i	−0.197846	−	0.980233i	$-0.563395\pi$
$547$	−26.7951	−	15.4702i	−1.14568	−	0.661457i	−0.947830	+	0.318776i	$0.896728\pi$
$548$	−3.25832			−0.139189
$549$	−10.8169	+	1.66504i	−0.461656	+	0.0710623i
$550$	−18.9745	+	0.0723440i	−0.809076	+	0.00308476i
$551$	−24.8888	+	43.1086i	−1.06030	+	1.83649i
$552$	2.13567	−	2.48956i	0.0909000	−	0.105963i
$553$	−39.5523	−	23.0259i	−1.68193	−	0.979160i
$554$	9.56209	−	5.52068i	0.406254	−	0.234551i
$555$	0.465112	+	5.93016i	0.0197429	+	0.251721i
$556$	13.1406	+	7.58671i	0.557284	+	0.321748i
$557$	8.74571			0.370567			0.185284	−	0.982685i	$-0.440680\pi$
$557$	8.74571			0.370567			0.185284	+	0.982685i	$0.440680\pi$
$558$	−3.06303	−	3.81635i	−0.129668	−	0.161559i
$559$			0.192449i			0.00813972i
$560$	4.19039	−	4.17620i	0.177076	−	0.176477i
$561$	7.78490	+	1.46036i	0.328679	+	0.0616566i
$562$	−2.62771	+	1.51711i	−0.110843	+	0.0639953i
$563$	−31.5620	+	18.2223i	−1.33018	+	0.767980i	−0.985327	−	0.170677i	$-0.945404\pi$
$563$	−31.5620	+	18.2223i	−1.33018	+	0.767980i	−0.344853	+	0.938657i	$0.612071\pi$
$564$	−6.14680	+	2.16166i	−0.258827	+	0.0910225i
$565$	−41.7425	+	11.2702i	−1.75612	+	0.474141i
$566$	14.6939			0.617632
$567$	23.2288	+	5.23688i	0.975516	+	0.219928i
$568$		−	4.54742i		−	0.190805i
$569$	29.0309	+	16.7610i	1.21704	+	0.702658i	0.964283	−	0.264872i	$-0.0853299\pi$
$569$	29.0309	+	16.7610i	1.21704	+	0.702658i	0.252755	+	0.967530i	$0.418663\pi$
$570$	19.7085	+	9.40696i	0.825498	+	0.394014i
$571$	4.32158	+	7.48519i	0.180852	+	0.313245i	0.942171	−	0.335132i	$-0.108781\pi$
$571$	4.32158	+	7.48519i	0.180852	+	0.313245i	−0.761319	+	0.648378i	$0.775448\pi$
$572$	−0.490468	+	0.283172i	−0.0205075	+	0.0118400i
$573$	7.26946	−	38.7520i	0.303686	−	1.61889i
$574$	0.0681441	−	18.9150i	0.00284428	−	0.789496i
$575$	0.0361013	+	9.46873i	0.00150553	+	0.394873i
$576$	−2.33963	+	1.87780i	−0.0974845	+	0.0782418i
$577$	−32.2932			−1.34439			−0.672193	−	0.740376i	$-0.734647\pi$
$577$	−32.2932			−1.34439			−0.672193	+	0.740376i	$0.734647\pi$
$578$	7.77395	−	13.4649i	0.323354	−	0.560065i
$579$	−6.25569	−	5.36643i	−0.259978	−	0.223021i
$580$	19.0769	+	5.07268i	0.792125	+	0.210632i
$581$	−9.40151	+	16.1492i	−0.390040	+	0.669984i
$582$	11.5902	−	13.5108i	0.480429	−	0.560040i
$583$	11.8840	+	6.86126i	0.492187	+	0.284164i
$584$	−6.44605			−0.266739
$585$	−0.590416	+	0.808477i	−0.0244107	+	0.0334264i
$586$			17.7881i			0.734820i
$587$	−13.3288	−	7.69538i	−0.550138	−	0.317622i	0.199040	−	0.979991i	$-0.436218\pi$
$587$	−13.3288	−	7.69538i	−0.550138	−	0.317622i	−0.749178	+	0.662369i	$0.769551\pi$
$588$	7.96027	−	9.14517i	0.328276	−	0.377140i
$589$	−4.59882	−	7.96539i	−0.189491	−	0.328208i
$590$	6.07708	−	22.8542i	0.250190	−	0.940891i
$591$	11.9463	+	33.9700i	0.491406	+	1.39734i
$592$	−1.33010	−	0.767931i	−0.0546666	−	0.0315618i
$593$		−	36.0260i		−	1.47941i	−0.672931	−	0.739705i	$-0.734965\pi$
$593$		−	36.0260i		−	1.47941i	0.672931	−	0.739705i	$-0.265035\pi$
$594$	19.7085	+	0.644776i	0.808649	+	0.0264555i
$595$	1.85682	−	6.88301i	0.0761220	−	0.282176i
$596$	−13.5690	−	7.83408i	−0.555809	−	0.320897i
$597$	−22.5299	+	7.92316i	−0.922087	+	0.324273i
$598$	0.141309	+	0.244755i	0.00577857	+	0.0100088i
$599$	−1.82565	+	1.05404i	−0.0745939	+	0.0430668i	−0.536833	−	0.843688i	$-0.680379\pi$
$599$	−1.82565	+	1.05404i	−0.0745939	+	0.0430668i	0.462239	+	0.886755i	$0.347046\pi$
$600$	1.56426	−	8.51781i	0.0638605	−	0.347738i
$601$	2.43456	+	1.40559i	0.0993078	+	0.0573354i	0.548831	−	0.835933i	$-0.315073\pi$
$601$	2.43456	+	1.40559i	0.0993078	+	0.0573354i	−0.449524	+	0.893268i	$0.648406\pi$
$602$	−1.69526	−	2.96086i	−0.0690937	−	0.120676i
$603$	5.22302	−	13.4315i	0.212698	−	0.546975i
$604$	−6.54908			−0.266478
$605$	−7.34306	+	1.98258i	−0.298538	+	0.0806033i
$606$	−16.9408	+	19.7480i	−0.688172	+	0.802207i
$607$	−14.1373	−	24.4866i	−0.573816	−	0.993879i	−0.996169	−	0.0874476i	$-0.972129\pi$
$607$	−14.1373	−	24.4866i	−0.573816	−	0.993879i	0.422353	−	0.906432i	$-0.361204\pi$
$608$	−4.88322	+	2.81933i	−0.198041	+	0.114339i
$609$	39.7339	+	7.60194i	1.61010	+	0.308046i
$610$	2.12632	+	7.87544i	0.0860920	+	0.318867i
$611$		−	0.561416i		−	0.0227125i
$612$	−1.31020	+	3.36932i	−0.0529617	+	0.136197i
$613$		−	41.4610i		−	1.67459i	−0.546749	−	0.837296i	$-0.684135\pi$
$613$		−	41.4610i		−	1.67459i	0.546749	−	0.837296i	$-0.315865\pi$
$614$	10.2869	−	17.8175i	0.415146	−	0.719054i
$615$	−15.6770	−	22.8233i	−0.632159	−	0.920326i
$616$	5.05152	−	8.67714i	0.203531	−	0.349612i
$617$	−7.08501	−	12.2716i	−0.285232	−	0.494036i	0.687434	−	0.726247i	$-0.258737\pi$
$617$	−7.08501	−	12.2716i	−0.285232	−	0.494036i	−0.972665	+	0.232211i	$0.925404\pi$
$618$	−2.86214	−	8.13863i	−0.115132	−	0.327384i
$619$	37.7895	+	21.8178i	1.51889	+	0.876930i	0.999753	+	0.0222372i	$0.00707891\pi$
$619$	37.7895	+	21.8178i	1.51889	+	0.876930i	0.519134	+	0.854693i	$0.326254\pi$
$620$	−2.57420	+	2.58403i	−0.103382	+	0.103777i
$621$	0.321758	−	9.83500i	0.0129117	−	0.394665i
$622$	5.74939			0.230530
$623$	−0.173731	+	48.2232i	−0.00696040	+	1.93202i
$624$	−0.0857543	−	0.243847i	−0.00343292	−	0.00976168i
$625$	12.6647	+	21.5547i	0.506589	+	0.862188i
$626$	3.40412	+	5.89611i	0.136056	+	0.235656i
$627$	36.4275	+	6.83342i	1.45478	+	0.272900i
$628$	0.936517	−	1.62210i	0.0373711	−	0.0647287i
$629$	−1.85076			−0.0737948
$630$	1.96187	−	17.6395i	0.0781629	−	0.702773i
$631$	−29.6915			−1.18200			−0.591001	−	0.806671i	$-0.701267\pi$
$631$	−29.6915			−1.18200			−0.591001	+	0.806671i	$0.701267\pi$
$632$	8.64906	−	14.9806i	0.344041	−	0.595896i
$633$	−14.4814	+	16.8811i	−0.575586	+	0.670964i
$634$	−15.0825	−	26.1237i	−0.599004	−	1.03751i
$635$	−8.15273	−	2.16787i	−0.323531	−	0.0860292i
$636$	−4.07792	+	4.75365i	−0.161700	+	0.188495i
$637$	0.515797	+	0.908441i	0.0204366	+	0.0359937i
$638$	33.5013			1.32633
$639$	−8.53916	−	10.6393i	−0.337804	−	0.420883i
$640$	1.58415	+	1.57812i	0.0626190	+	0.0623807i
$641$	−1.63762	−	0.945482i	−0.0646822	−	0.0373443i	0.467310	−	0.884093i	$-0.345223\pi$
$641$	−1.63762	−	0.945482i	−0.0646822	−	0.0373443i	−0.531992	+	0.846749i	$0.678556\pi$
$642$	33.7767	+	6.33615i	1.33306	+	0.250068i
$643$	0.759137	+	1.31486i	0.0299374	+	0.0518532i	0.880606	−	0.473849i	$-0.157136\pi$
$643$	0.759137	+	1.31486i	0.0299374	+	0.0518532i	−0.850669	+	0.525702i	$0.823803\pi$
$644$	−4.33010	−	2.52082i	−0.170630	−	0.0993344i
$645$	−4.50731	−	2.15136i	−0.177475	−	0.0847097i
$646$	−3.39738	+	5.88443i	−0.133668	+	0.231520i
$647$			10.5050i			0.412996i	0.978447	+	0.206498i	$0.0662066\pi$
$647$			10.5050i			0.412996i	−0.978447	+	0.206498i	$0.933793\pi$
$648$	−1.94771	+	8.78672i	−0.0765133	+	0.345175i
$649$		−	40.1347i		−	1.57542i
$650$	0.647633	+	0.370626i	0.0254022	+	0.0145371i
$651$	−4.88738	+	5.65589i	−0.191551	+	0.221672i
$652$	−10.2379	+	5.91087i	−0.400948	+	0.231487i
$653$	1.98378	+	3.43601i	0.0776314	+	0.134461i	0.902228	−	0.431260i	$-0.141931\pi$
$653$	1.98378	+	3.43601i	0.0776314	+	0.134461i	−0.824596	+	0.565722i	$0.808598\pi$
$654$	15.1777	+	2.84717i	0.593493	+	0.111333i
$655$	16.0367	−	4.32981i	0.626607	−	0.169180i
$656$	7.14924			0.279131
$657$	−15.0814	+	12.1044i	−0.588380	+	0.472238i
$658$	4.94546	+	8.63750i	0.192794	+	0.336725i
$659$	−12.3411	−	7.12514i	−0.480741	−	0.277556i	0.239984	−	0.970777i	$-0.422858\pi$
$659$	−12.3411	−	7.12514i	−0.480741	−	0.277556i	−0.720725	+	0.693221i	$0.756191\pi$
$660$	−1.14924	−	14.6527i	−0.0447340	−	0.570356i
$661$	−13.3171	+	7.68861i	−0.517974	+	0.299052i	−0.736105	−	0.676867i	$-0.763337\pi$
$661$	−13.3171	+	7.68861i	−0.517974	+	0.299052i	0.218132	+	0.975919i	$0.430004\pi$
$662$	12.7000	+	21.9970i	0.493599	+	0.854938i
$663$	−0.236414	−	0.202807i	−0.00918155	−	0.00787638i
$664$	−6.11660	−	3.53142i	−0.237370	−	0.137046i
$665$	8.68852	−	32.2074i	0.336926	−	1.24895i
$666$	−4.55395	+	0.700985i	−0.176462	+	0.0271626i
$667$		−	16.7179i		−	0.647322i
$668$	−17.7912	−	10.2718i	−0.688363	−	0.397427i
$669$	−22.5222	−	4.22492i	−0.870758	−	0.163345i
$670$	−10.3808	−	2.76034i	−0.401047	−	0.106641i
$671$	6.92217	+	11.9896i	0.267228	+	0.462852i
$672$	3.46737	+	2.99623i	0.133757	+	0.115582i
$673$	15.3548	+	8.86511i	0.591885	+	0.341725i	0.765842	−	0.643028i	$-0.222322\pi$
$673$	15.3548	+	8.86511i	0.591885	+	0.341725i	−0.173958	+	0.984753i	$0.555656\pi$
$674$			35.0150i			1.34873i
$675$	−12.3350	−	22.8659i	−0.474774	−	0.880108i
$676$	−12.9777			−0.499143
$677$	−5.88913	−	3.40009i	−0.226338	−	0.130676i	0.382544	−	0.923937i	$-0.375048\pi$
$677$	−5.88913	−	3.40009i	−0.226338	−	0.130676i	−0.608881	+	0.793261i	$0.708381\pi$
$678$	−11.1110	−	31.5946i	−0.426714	−	1.21338i
$679$	−23.4993	−	13.6805i	−0.901821	−	0.525008i
$680$	2.60404	+	0.692434i	0.0998605	+	0.0265536i
$681$	0.170075	−	0.906634i	0.00651728	−	0.0347423i
$682$	−3.09510	+	5.36088i	−0.118518	+	0.205279i
$683$	−31.6015			−1.20920			−0.604599	−	0.796530i	$-0.706667\pi$
$683$	−31.6015			−1.20920			−0.604599	+	0.796530i	$0.706667\pi$
$684$	−6.13077	+	15.7659i	−0.234416	+	0.602824i
$685$	5.16167	+	5.14203i	0.197217	+	0.196467i
$686$	−15.9380	−	9.43293i	−0.608516	−	0.360151i
$687$	−14.8340	−	12.7253i	−0.565952	−	0.485501i
$688$	1.11678	−	0.644776i	0.0425770	−	0.0245818i
$689$	−0.269821	−	0.467344i	−0.0102794	−	0.0178044i
$690$	−7.31204	+	0.573496i	−0.278365	+	0.0218326i
$691$	3.93467	+	2.27168i	0.149682	+	0.0864189i	0.572970	−	0.819576i	$-0.305791\pi$
$691$	3.93467	+	2.27168i	0.149682	+	0.0864189i	−0.423288	+	0.905995i	$0.639124\pi$
$692$			12.7237i			0.483683i
$693$	−4.47529	−	29.7870i	−0.170002	−	1.13152i
$694$	4.16343			0.158042
$695$	−8.84388	−	32.7559i	−0.335467	−	1.24250i
$696$	−2.81914	+	15.0283i	−0.106859	+	0.569645i
$697$	7.46086	−	4.30753i	0.282600	−	0.163159i
$698$	11.0980	−	6.40743i	0.420065	−	0.242525i
$699$	−11.6867	−	33.2318i	−0.442033	−	1.25694i
$700$	−13.2288	+	0.00277852i	−0.500000	+	0.000105018i
$701$			38.7490i			1.46353i	0.681556	+	0.731766i	$0.261303\pi$
$701$			38.7490i			1.46353i	−0.681556	+	0.731766i	$0.738697\pi$
$702$	−0.658529	−	0.409481i	−0.0248546	−	0.0154549i
$703$	−8.66019			−0.326625
$704$	3.28651	+	1.89747i	0.123865	+	0.0715134i
$705$	13.1488	+	6.27600i	0.495213	+	0.236368i
$706$	−0.340188	+	0.196408i	−0.0128032	+	0.00739190i
$707$	34.3477	+	19.9960i	1.29178	+	0.752027i
$708$	18.0039	+	3.37734i	0.676628	+	0.126928i
$709$	3.65752	−	6.33500i	0.137361	−	0.237916i	−0.789136	−	0.614219i	$-0.789471\pi$
$709$	3.65752	−	6.33500i	0.137361	−	0.237916i	0.926497	+	0.376302i	$0.122805\pi$
$710$	−7.17638	+	7.20379i	−0.269325	+	0.270354i
$711$	−7.89506	−	51.2902i	−0.296088	−	1.92353i
$712$	−18.2268			−0.683078
$713$	2.67520	+	1.54453i	0.100187	+	0.0578431i
$714$	5.42378	+	1.03768i	0.202980	+	0.0388343i
$715$	1.22386	+	0.325432i	0.0457696	+	0.0121705i
$716$	−5.73339	+	3.31017i	−0.214267	+	0.123707i
$717$	25.0252	+	21.4679i	0.934584	+	0.801732i
$718$	−23.4999	−	13.5677i	−0.877009	−	0.506341i
$719$	21.2794			0.793588			0.396794	−	0.917908i	$-0.370123\pi$
$719$	21.2794			0.793588			0.396794	+	0.917908i	$0.370123\pi$
$720$	6.66972	+	0.717495i	0.248566	+	0.0267394i
$721$	−11.4364	+	6.54800i	−0.425915	+	0.243860i
$722$	−6.39720	+	11.0803i	−0.238079	+	0.412365i
$723$	−6.84509	+	36.4898i	−0.254572	+	1.35707i
$724$	−18.9960	+	10.9674i	−0.705981	+	0.407599i
$725$	−22.2154	−	38.1416i	−0.825058	−	1.41654i
$726$	−1.95457	−	5.55791i	−0.0725408	−	0.206273i
$727$	−5.80251	+	10.0502i	−0.215203	+	0.372743i	−0.953335	−	0.301913i	$-0.902375\pi$
$727$	−5.80251	+	10.0502i	−0.215203	+	0.372743i	0.738132	+	0.674656i	$0.235708\pi$
$728$	−0.342654	+	0.196189i	−0.0126996	+	0.00727124i
$729$	11.9428	+	24.2151i	0.442326	+	0.896854i
$730$	10.2115	+	10.1727i	0.377945	+	0.376507i
$731$	0.776975	−	1.34576i	0.0287375	−	0.0497748i
$732$	−5.96086	+	2.09627i	−0.220320	+	0.0774805i
$733$	−6.40801	−	11.0990i	−0.236685	−	0.409951i	0.723076	−	0.690769i	$-0.242728\pi$
$733$	−6.40801	−	11.0990i	−0.236685	−	0.409951i	−0.959761	+	0.280818i	$0.909394\pi$
$734$	−9.37309	−	16.2347i	−0.345967	−	0.599233i
$735$	−27.0425	+	1.92505i	−0.997476	+	0.0710064i
$736$	0.946880	−	1.64004i	0.0349025	−	0.0604528i
$737$	−18.2300			−0.671511
$738$	16.7265	−	13.4249i	0.615713	−	0.494176i
$739$	30.2269			1.11191			0.555957	−	0.831211i	$-0.312352\pi$
$739$	30.2269			1.11191			0.555957	+	0.831211i	$0.312352\pi$
$740$	0.895182	+	3.31557i	0.0329076	+	0.121883i
$741$	−1.10624	−	0.948987i	−0.0406387	−	0.0348619i
$742$	8.26804	+	4.81335i	0.303529	+	0.176704i
$743$	17.8057	+	30.8403i	0.653226	+	1.13142i	0.982335	+	0.187129i	$0.0599183\pi$
$743$	17.8057	+	30.8403i	0.653226	+	1.13142i	−0.329109	+	0.944292i	$0.606748\pi$
$744$	−2.14437	−	1.83954i	−0.0786163	−	0.0674409i
$745$	9.13225	+	33.8240i	0.334580	+	1.23921i
$746$		−	37.4999i		−	1.37297i
$747$	−20.9419	+	3.22356i	−0.766224	+	0.117944i
$748$	4.57301			0.167206
$749$	0.189119	−	52.4944i	0.00691025	−	1.91810i
$750$	−15.9202	+	11.0249i	−0.581322	+	0.402573i
$751$	19.0001	+	32.9091i	0.693323	+	1.20087i	0.970743	+	0.240122i	$0.0771874\pi$
$751$	19.0001	+	32.9091i	0.693323	+	1.20087i	−0.277420	+	0.960749i	$0.589479\pi$
$752$	−3.25791	+	1.88096i	−0.118804	+	0.0685914i
$753$	3.71313	+	10.5585i	0.135314	+	0.384772i
$754$	−1.14095	−	0.658726i	−0.0415508	−	0.0239894i
$755$	10.3747	+	10.3352i	0.377575	+	0.376138i
$756$	13.7387	+	0.499023i	0.499670	+	0.0181493i
$757$		−	32.9938i		−	1.19918i	−0.800307	−	0.599590i	$-0.795330\pi$
$757$		−	32.9938i		−	1.19918i	0.800307	−	0.599590i	$-0.204670\pi$
$758$	3.96270	−	6.86361i	0.143932	−	0.249297i
$759$	−11.7427	+	4.12960i	−0.426234	+	0.149895i
$760$	12.1850	+	3.24007i	0.441996	+	0.117530i
$761$	4.75607	+	8.23775i	0.172407	+	0.298618i	0.939261	−	0.343204i	$-0.111512\pi$
$761$	4.75607	+	8.23775i	0.172407	+	0.298618i	−0.766854	+	0.641822i	$0.778179\pi$
$762$	1.20479	−	6.42250i	0.0436450	−	0.232663i
$763$	0.0849811	−	23.5885i	0.00307652	−	0.853961i
$764$		−	22.7637i		−	0.823563i
$765$	7.39275	−	3.26985i	0.267285	−	0.118222i
$766$			7.60996i			0.274959i
$767$	−0.789155	+	1.36686i	−0.0284947	+	0.0493543i
$768$	−1.12774	+	1.31461i	−0.0406938	+	0.0474370i
$769$	8.14151	−	4.70050i	0.293590	−	0.169504i	−0.345970	−	0.938246i	$-0.612450\pi$
$769$	8.14151	−	4.70050i	0.293590	−	0.169504i	0.639560	+	0.768741i	$0.279117\pi$
$770$	−21.6959	+	5.77398i	−0.781867	+	0.208080i
$771$	−0.972646	−	0.834383i	−0.0350290	−	0.0300496i
$772$	−4.12105	−	2.37929i	−0.148320	−	0.0856325i
$773$		−	14.0748i		−	0.506236i	−0.967435	−	0.253118i	$-0.918544\pi$
$773$		−	14.0748i		−	0.506236i	0.967435	−	0.253118i	$-0.0814561\pi$
$774$	1.40210	−	3.60564i	0.0503973	−	0.129602i
$775$	8.15583	−	0.0310957i	0.292966	−	0.00111699i
$776$	5.13869	−	8.90048i	0.184468	−	0.319508i
$777$	2.31103	+	6.64797i	0.0829078	+	0.238494i
$778$	3.57663	−	2.06497i	0.128228	−	0.0740328i
$779$	34.9113	−	20.1560i	1.25083	−	0.722165i
$780$	−0.248972	+	0.521621i	−0.00891463	+	0.0186770i
$781$	−8.62857	+	14.9451i	−0.308754	+	0.534778i
$782$		−	2.28204i		−	0.0816056i
$783$	21.6244	+	40.4543i	0.772792	+	1.44572i
$784$	3.54359	−	6.03680i	0.126557	−	0.215600i
$785$	−4.04345	+	1.09170i	−0.144317	+	0.0389646i
$786$	4.26864	+	12.1381i	0.152257	+	0.432951i
$787$	−6.38399	−	11.0574i	−0.227565	−	0.394153i	0.729521	−	0.683958i	$-0.239743\pi$
$787$	−6.38399	−	11.0574i	−0.227565	−	0.394153i	−0.957086	+	0.289805i	$0.906410\pi$
$788$	10.3950	+	18.0047i	0.370307	+	0.641390i
$789$	−32.5506	−	6.10615i	−1.15883	−	0.217385i
$790$	−37.3426	+	10.0823i	−1.32859	+	0.358711i
$791$	−44.3968	+	25.4197i	−1.57857	+	0.903819i
$792$	11.2523	−	1.73205i	0.399832	−	0.0615457i
$793$		−	0.544434i		−	0.0193334i
$794$	11.5112	−	19.9380i	0.408517	−	0.707572i
$795$	13.9619	−	1.09505i	0.495177	−	0.0388376i
$796$	−11.9412	+	6.89428i	−0.423246	+	0.244361i
$797$	32.1173	−	18.5430i	1.13765	−	0.656825i	0.191806	−	0.981433i	$-0.438566\pi$
$797$	32.1173	−	18.5430i	1.13765	−	0.656825i	0.945849	+	0.324608i	$0.105232\pi$
$798$	25.3792	+	4.85559i	0.898415	+	0.171886i
$799$	−2.26661	+	3.92589i	−0.0801870	+	0.138888i
$800$	−0.0190633	−	4.99996i	−0.000673990	−	0.176775i
$801$	−42.6439	+	34.2263i	−1.50675	+	1.20933i
$802$		−	11.8465i		−	0.418315i
$803$	21.1850	+	12.2312i	0.747602	+	0.431628i
$804$	1.53406	−	8.17774i	0.0541020	−	0.288407i
$805$	2.88135	+	10.8268i	0.101554	+	0.381594i
$806$	0.210818	−	0.121716i	0.00742576	−	0.00428726i
$807$	0.154278	+	0.438696i	0.00543083	+	0.0154428i
$808$	−7.51095	+	13.0094i	−0.264234	+	0.457667i
$809$			33.2074i			1.16751i	0.811930	+	0.583755i	$0.198417\pi$
$809$			33.2074i			1.16751i	−0.811930	+	0.583755i	$0.801583\pi$
$810$	16.9520	−	10.8458i	0.595632	−	0.381081i
$811$			41.5216i			1.45802i	0.684503	+	0.729010i	$0.260019\pi$
$811$			41.5216i			1.45802i	−0.684503	+	0.729010i	$0.739981\pi$
$812$	23.3563	+	0.0841446i	0.819646	+	0.00295290i
$813$	23.0001	−	8.08851i	0.806648	−	0.283676i
$814$	2.91425	+	5.04762i	0.102144	+	0.176919i
$815$	25.5465	+	6.79299i	0.894854	+	0.237948i
$816$	−0.384820	+	2.05139i	−0.0134714	+	0.0718132i
$817$	3.63567	−	6.29716i	0.127196	−	0.220310i
$818$			29.4129i			1.02840i
$819$	−0.433278	+	1.10245i	−0.0151400	+	0.0385225i
$820$	−11.3255	−	11.2824i	−0.395502	−	0.393997i
$821$	18.4273	+	10.6390i	0.643116	+	0.371303i	0.785814	−	0.618463i	$-0.212244\pi$
$821$	18.4273	+	10.6390i	0.643116	+	0.371303i	−0.142698	+	0.989766i	$0.545578\pi$
$822$	−3.67454	+	4.28343i	−0.128164	+	0.149402i
$823$	−5.23637	+	3.02322i	−0.182528	+	0.105383i	−0.588480	−	0.808512i	$-0.700273\pi$
$823$	−5.23637	+	3.02322i	−0.182528	+	0.105383i	0.405952	+	0.913895i	$0.366940\pi$
$824$	−2.49047	−	4.31362i	−0.0867596	−	0.150272i
$825$	−21.3032	+	25.0257i	−0.741682	+	0.871284i
$826$	0.100805	−	27.9809i	0.00350747	−	0.973580i
$827$	−34.5475			−1.20134			−0.600668	−	0.799499i	$-0.705099\pi$
$827$	−34.5475			−1.20134			−0.600668	+	0.799499i	$0.705099\pi$
$828$	−0.864334	−	5.61515i	−0.0300377	−	0.195140i
$829$		−	10.4215i		−	0.361952i	−0.983487	−	0.180976i	$-0.942074\pi$
$829$		−	10.4215i		−	0.361952i	0.983487	−	0.180976i	$-0.0579257\pi$
$830$	4.11660	+	15.2470i	0.142889	+	0.529233i
$831$	3.52599	−	18.7963i	0.122315	−	0.652037i
$832$	−0.0746185	−	0.129243i	−0.00258693	−	0.00448069i
$833$	0.0607775	−	8.43501i	0.00210582	−	0.292256i
$834$	24.7927	−	8.71893i	0.858501	−	0.301912i
$835$	11.9739	+	44.3487i	0.414373	+	1.53475i
$836$	21.3983			0.740076
$837$	−8.47132	−	0.277144i	−0.292812	−	0.00957951i
$838$	21.0823			0.728276
$839$	−6.37475	+	11.0414i	−0.220081	+	0.381191i	−0.954832	−	0.297145i	$-0.903965\pi$
$839$	−6.37475	+	11.0414i	−0.220081	+	0.381191i	0.734751	+	0.678337i	$0.237299\pi$
$840$	−0.764417	−	10.2184i	−0.0263749	−	0.352568i
$841$	24.4660	+	42.3764i	0.843656	+	1.46126i
$842$	−16.0933	−	27.8744i	−0.554612	−	0.960617i
$843$	−0.968959	+	5.16532i	−0.0333727	+	0.177903i
$844$	−6.42057	+	11.1208i	−0.221005	+	0.382792i
$845$	20.5587	+	20.4804i	0.707240	+	0.704548i
$846$	−4.09023	+	10.5185i	−0.140625	+	0.361632i
$847$	−7.80999	+	4.47166i	−0.268354	+	0.153648i
$848$	−1.80801	+	3.13156i	−0.0620872	+	0.107538i
$849$	16.5709	−	19.3168i	0.568712	−	0.662951i
$850$	−3.03245	−	5.20642i	−0.104012	−	0.178579i
$851$	2.51888	−	1.45428i	0.0863461	−	0.0498520i
$852$	−5.97809	−	5.12830i	−0.204806	−	0.175693i
$853$	6.36562	−	11.0256i	0.217955	−	0.377508i	−0.736228	−	0.676734i	$-0.763395\pi$
$853$	6.36562	−	11.0256i	0.217955	−	0.377508i	0.954182	+	0.299225i	$0.0967282\pi$
$854$	4.79586	+	8.37621i	0.164111	+	0.286628i
$855$	34.5925	−	15.3004i	1.18304	−	0.523264i
$856$	19.8411			0.678156
$857$	2.53758	+	1.46507i	0.0866821	+	0.0500460i	0.542715	−	0.839917i	$-0.317397\pi$
$857$	2.53758	+	1.46507i	0.0866821	+	0.0500460i	−0.456032	+	0.889963i	$0.650730\pi$
$858$	−0.180859	+	0.964120i	−0.00617441	+	0.0329145i
$859$	−17.3785	+	10.0335i	−0.592946	+	0.342338i	−0.766262	−	0.642529i	$-0.777885\pi$
$859$	−17.3785	+	10.0335i	−0.592946	+	0.342338i	0.173315	+	0.984866i	$0.444552\pi$
$860$	−2.78669	−	0.741000i	−0.0950253	−	0.0252679i
$861$	−24.7890	−	21.4207i	−0.844808	−	0.730017i
$862$	−12.0732	−	6.97046i	−0.411215	−	0.237415i
$863$	25.4551			0.866500			0.433250	−	0.901274i	$-0.357367\pi$
$863$	25.4551			0.866500			0.433250	+	0.901274i	$0.357367\pi$
$864$	−0.169904	+	5.19337i	−0.00578027	+	0.176682i
$865$	20.0796	−	20.1563i	0.682726	−	0.685334i
$866$	9.45623	−	16.3787i	0.321336	−	0.556570i
$867$	−8.93411	−	25.4046i	−0.303418	−	0.862785i
$868$	−2.17130	+	3.72970i	−0.0736986	+	0.126594i
$869$	−56.8504	+	32.8226i	−1.92852	+	1.11343i
$870$	28.1824	−	19.3581i	0.955472	−	0.656300i
$871$	0.620854	+	0.358450i	0.0210368	+	0.0121456i
$872$	8.91567			0.301923
$873$	−4.69072	−	30.4733i	−0.158757	−	1.03136i
$874$		−	10.6783i		−	0.361197i
$875$	20.9607	+	20.8722i	0.708602	+	0.705609i
$876$	−7.26946	+	8.47406i	−0.245612	+	0.286312i
$877$	1.76549	−	1.01930i	0.0596163	−	0.0344195i	−0.469896	−	0.882722i	$-0.655708\pi$
$877$	1.76549	−	1.01930i	0.0596163	−	0.0344195i	0.529512	+	0.848303i	$0.322375\pi$
$878$	3.81557	−	2.20292i	0.128769	−	0.0743450i
$879$	23.3845	+	20.0603i	0.788739	+	0.676618i
$880$	−2.21189	−	8.19238i	−0.0745628	−	0.276165i
$881$	36.1162			1.21678			0.608392	−	0.793637i	$-0.291815\pi$
$881$	36.1162			1.21678			0.608392	+	0.793637i	$0.291815\pi$
$882$	−3.04525	−	20.7780i	−0.102539	−	0.699633i
$883$		−	18.9622i		−	0.638128i	−0.947733	−	0.319064i	$-0.896632\pi$
$883$		−	18.9622i		−	0.638128i	0.947733	−	0.319064i	$-0.103368\pi$
$884$	−0.155742	−	0.0899177i	−0.00523817	−	0.00302426i
$885$	−23.1910	−	33.7625i	−0.779557	−	1.13492i
$886$	3.27436	+	5.67136i	0.110004	+	0.190533i
$887$	31.9139	−	18.4255i	1.07156	−	0.618667i	0.142954	−	0.989729i	$-0.454340\pi$
$887$	31.9139	−	18.4255i	1.07156	−	0.618667i	0.928608	+	0.371062i	$0.121006\pi$
$888$	−2.50953	+	0.882535i	−0.0842144	+	0.0296159i
$889$	−9.98159	−	0.0359602i	−0.334772	−	0.00120607i
$890$	28.8740	+	28.7641i	0.967858	+	0.964175i
$891$	23.0737	−	25.1819i	0.772997	−	0.843625i
$892$	−13.2300			−0.442973
$893$	−10.6061	+	18.3702i	−0.354918	+	0.614736i
$894$	−25.6011	+	9.00322i	−0.856229	+	0.301113i
$895$	14.3064	+	3.80417i	0.478210	+	0.127159i
$896$	2.28651	+	1.33112i	0.0763868	+	0.0444697i
$897$	0.481118	+	0.0902527i	0.0160641	+	0.00301345i
$898$	−1.14511	−	0.661129i	−0.0382128	−	0.0220622i
$899$	−14.3999			−0.480263
$900$	−9.43355	−	11.6623i	−0.314452	−	0.388742i
$901$			4.35741i			0.145166i
$902$	−23.4960	−	13.5654i	−0.782332	−	0.451679i
$903$	−5.80419	−	1.11047i	−0.193151	−	0.0369540i
$904$	−9.66812	−	16.7457i	−0.321557	−	0.556953i
$905$	47.4004	+	12.6041i	1.57564	+	0.418974i
$906$	−7.38565	+	8.60950i	−0.245372	+	0.286032i
$907$	25.7634	+	14.8745i	0.855459	+	0.493899i	0.862489	−	0.506076i	$-0.168904\pi$
$907$	25.7634	+	14.8745i	0.855459	+	0.493899i	−0.00703025	+	0.999975i	$0.502238\pi$
$908$		−	0.532576i		−	0.0176741i
$909$	6.85617	+	44.5411i	0.227405	+	1.47734i
$910$	0.852425	+	0.229957i	0.0282576	+	0.00762300i
$911$	−5.59505	−	3.23030i	−0.185372	−	0.107025i	0.404442	−	0.914564i	$-0.367466\pi$
$911$	−5.59505	−	3.23030i	−0.185372	−	0.107025i	−0.589814	+	0.807539i	$0.700799\pi$
$912$	−1.80067	+	9.59900i	−0.0596261	+	0.317855i
$913$	13.4015	+	23.2121i	0.443525	+	0.768208i
$914$	30.3212	−	17.5060i	1.00294	−	0.579046i
$915$	12.7511	+	6.08615i	0.421538	+	0.201202i
$916$	−9.77216	−	5.64196i	−0.322881	−	0.186416i
$917$	17.0565	−	9.76579i	0.563254	−	0.322495i
$918$	2.95178	+	5.52211i	0.0974233	+	0.182257i
$919$	39.6093			1.30659			0.653295	−	0.757103i	$-0.273386\pi$
$919$	39.6093			1.30659			0.653295	+	0.757103i	$0.273386\pi$
$920$	−4.08819	+	1.10378i	−0.134784	+	0.0363907i
$921$	−11.8221	−	33.6167i	−0.389552	−	1.10771i
$922$	9.71047	+	16.8190i	0.319797	+	0.553905i
$923$	0.587722	−	0.339321i	0.0193451	−	0.0111689i
$924$	−5.71028	−	16.4263i	−0.187855	−	0.540387i
$925$	3.81427	−	6.66507i	0.125412	−	0.219146i
$926$		−	4.25871i		−	0.139950i
$927$	−13.9269	−	5.41565i	−0.457419	−	0.177873i
$928$			8.82791i			0.289790i
$929$	−3.16509	+	5.48210i	−0.103843	+	0.179862i	−0.913265	−	0.407366i	$-0.866447\pi$
$929$	−3.16509	+	5.48210i	−0.103843	+	0.179862i	0.809422	+	0.587228i	$0.199781\pi$
$930$	0.493977	+	6.29818i	0.0161982	+	0.206526i
$931$	0.284394	−	39.4695i	0.00932062	−	1.29356i
$932$	−10.1691	−	17.6135i	−0.333101	−	0.576948i
$933$	6.48381	−	7.55822i	0.212270	−	0.247445i
$934$	30.5275	+	17.6251i	0.998890	+	0.576709i
$935$	−7.24434	−	7.21677i	−0.236915	−	0.236014i
$936$	−0.417272	−	0.162262i	−0.0136390	−	0.00530369i
$937$	−50.5237			−1.65054			−0.825269	−	0.564740i	$-0.808976\pi$
$937$	−50.5237			−1.65054			−0.825269	+	0.564740i	$0.808976\pi$
$938$	−12.7095	−	0.0457879i	−0.414980	−	0.00149503i
$939$	11.5901	+	2.17417i	0.378227	+	0.0709514i
$940$	8.12940	+	2.16166i	0.265152	+	0.0705057i
$941$	30.4294	+	52.7052i	0.991970	+	1.71814i	0.605517	+	0.795833i	$0.292967\pi$
$941$	30.4294	+	52.7052i	0.991970	+	1.71814i	0.386453	+	0.922309i	$0.373700\pi$
$942$	−1.07628	−	3.06046i	−0.0350671	−	0.0997151i
$943$	−6.76947	+	11.7251i	−0.220444	+	0.381821i
$944$	10.5759			0.344215
$945$	−20.9766	−	22.4718i	−0.682369	−	0.731008i
$946$	−4.89376			−0.159110
$947$	1.55579	−	2.69472i	0.0505565	−	0.0875665i	−0.839640	−	0.543144i	$-0.817234\pi$
$947$	1.55579	−	2.69472i	0.0505565	−	0.0875665i	0.890196	+	0.455577i	$0.150567\pi$
$948$	−9.93981	−	28.2644i	−0.322830	−	0.917984i
$949$	−0.480994	−	0.833107i	−0.0156137	−	0.0270438i
$950$	−14.1896	−	24.3622i	−0.460372	−	0.790413i
$951$	−51.3518	−	9.63304i	−1.66519	−	0.312373i
$952$	3.18819	+	0.0114860i	0.103330	+	0.000372262i
$953$	49.1308			1.59150			0.795751	−	0.605623i	$-0.207076\pi$
$953$	49.1308			1.59150			0.795751	+	0.605623i	$0.207076\pi$
$954$	1.65039	+	10.7218i	0.0534333	+	0.347130i
$955$	−35.9239	+	36.0612i	−1.16247	+	1.16691i
$956$	16.4858	+	9.51810i	0.533190	+	0.307837i
$957$	37.7807	−	44.0413i	1.22128	−	1.42365i
$958$	−7.78289	−	13.4804i	−0.251454	−	0.435531i
$959$	7.45018	+	4.33722i	0.240579	+	0.140056i
$960$	3.86113	−	0.302835i	0.124617	−	0.00977395i
$961$	−14.1696	+	24.5425i	−0.457085	+	0.791694i
$962$		−	0.229207i		−	0.00738994i
$963$	46.4209	−	37.2578i	1.49589	−	1.20061i
$964$			21.4348i			0.690370i
$965$	2.77355	+	10.2727i	0.0892839	+	0.330689i
$966$	−8.19712	+	2.84957i	−0.263738	+	0.0916833i
$967$	13.3120	−	7.68571i	0.428087	−	0.247156i	−0.270445	−	0.962736i	$-0.587171\pi$
$967$	13.3120	−	7.68571i	0.428087	−	0.247156i	0.698531	+	0.715580i	$0.253837\pi$
$968$	−1.70075	−	2.94579i	−0.0546643	−	0.0946813i
$969$	3.90439	+	11.1023i	0.125427	+	0.356658i
$970$	−22.1865	+	5.99021i	−0.712365	+	0.192334i
$971$	−40.3902			−1.29618			−0.648091	−	0.761563i	$-0.724432\pi$
$971$	−40.3902			−1.29618			−0.648091	+	0.761563i	$0.724432\pi$
$972$	9.35462	+	12.4696i	0.300050	+	0.399963i
$973$	−19.9472	−	34.8388i	−0.639477	−	1.11688i
$974$	28.0605	+	16.2007i	0.899117	+	0.519105i
$975$	1.21759	−	0.433417i	0.0389941	−	0.0138805i
$976$	−3.15936	+	1.82406i	−0.101129	+	0.0583867i
$977$	−16.9305	−	29.3245i	−0.541654	−	0.938172i	−0.998809	−	0.0487854i	$-0.984465\pi$
$977$	−16.9305	−	29.3245i	−0.541654	−	0.938172i	0.457155	−	0.889387i	$-0.348868\pi$
$978$	−3.77520	+	20.1248i	−0.120718	+	0.643521i
$979$	59.9025	+	34.5847i	1.91449	+	1.10533i
$980$	−15.1404	+	3.97099i	−0.483642	+	0.126849i
$981$	20.8593	−	16.7419i	0.665987	−	0.534527i
$982$			14.4263i			0.460362i
$983$	46.1675	+	26.6548i	1.47251	+	0.850157i	0.999522	−	0.0309101i	$-0.00984057\pi$
$983$	46.1675	+	26.6548i	1.47251	+	0.850157i	0.472992	+	0.881067i	$0.343174\pi$
$984$	8.06247	−	9.39848i	0.257022	−	0.299612i
$985$	11.9463	−	44.9267i	0.380641	−	1.43148i
$986$	5.31896	+	9.21271i	0.169390	+	0.293392i
$987$	16.9321	+	3.23948i	0.538956	+	0.103114i
$988$	−0.728756	−	0.420748i	−0.0231848	−	0.0133858i
$989$			2.44210i			0.0776543i
$990$	−20.5587	−	15.0136i	−0.653397	−	0.477164i
$991$	12.9684			0.411953			0.205977	−	0.978557i	$-0.433963\pi$
$991$	12.9684			0.411953			0.205977	+	0.978557i	$0.433963\pi$
$992$	−1.41264	−	0.815589i	−0.0448514	−	0.0258950i
$993$	43.2398	+	8.11132i	1.37217	+	0.257405i
$994$	−6.05317	+	10.3977i	−0.191995	+	0.329795i
$995$	29.7967	+	7.92316i	0.944619	+	0.251181i
$996$	−11.5404	+	4.05844i	−0.365671	+	0.128597i
$997$	0.00471911	−	0.00817375i	0.000149456	−	0.000258865i	−0.865951	−	0.500129i	$-0.833286\pi$
$997$	0.00471911	−	0.00817375i	0.000149456	−	0.000258865i	0.866100	+	0.499871i	$0.166619\pi$
$998$	−13.0904			−0.414369
$999$	−4.21414	+	6.77721i	−0.133330	+	0.214421i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	630.2.bf.c.209.2	yes	8
3.2	odd	2		1890.2.bf.b.629.3		8
5.4	even	2		630.2.bf.b.209.3	yes	8
7.6	odd	2		630.2.bf.d.209.3	yes	8
9.4	even	3		1890.2.bf.d.1259.4		8
9.5	odd	6		630.2.bf.a.419.2	yes	8
15.14	odd	2		1890.2.bf.c.629.1		8
21.20	even	2		1890.2.bf.a.629.2		8
35.34	odd	2		630.2.bf.a.209.2	✓	8
45.4	even	6		1890.2.bf.a.1259.2		8
45.14	odd	6		630.2.bf.d.419.3	yes	8
63.13	odd	6		1890.2.bf.c.1259.1		8
63.41	even	6		630.2.bf.b.419.3	yes	8
105.104	even	2		1890.2.bf.d.629.4		8
315.104	even	6	inner	630.2.bf.c.419.2	yes	8
315.139	odd	6		1890.2.bf.b.1259.3		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
630.2.bf.a.209.2	✓	8	35.34	odd	2
630.2.bf.a.419.2	yes	8	9.5	odd	6
630.2.bf.b.209.3	yes	8	5.4	even	2
630.2.bf.b.419.3	yes	8	63.41	even	6
630.2.bf.c.209.2	yes	8	1.1	even	1	trivial
630.2.bf.c.419.2	yes	8	315.104	even	6	inner
630.2.bf.d.209.3	yes	8	7.6	odd	2
630.2.bf.d.419.3	yes	8	45.14	odd	6
1890.2.bf.a.629.2		8	21.20	even	2
1890.2.bf.a.1259.2		8	45.4	even	6
1890.2.bf.b.629.3		8	3.2	odd	2
1890.2.bf.b.1259.3		8	315.139	odd	6
1890.2.bf.c.629.1		8	15.14	odd	2
1890.2.bf.c.1259.1		8	63.13	odd	6
1890.2.bf.d.629.4		8	105.104	even	2
1890.2.bf.d.1259.4		8	9.4	even	3

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:	\( N \)	\(=\)	\( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	630.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 - 0.866025i) q^{2} +(-0.574618 - 1.63396i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.574618 + 2.16098i) q^{5} +(-1.70236 - 0.319344i) q^{6} +(-0.00953166 + 2.64573i) q^{7} -1.00000 q^{8} +(-2.33963 + 1.87780i) q^{9} +O(q^{10})\)	\(q+(0.500000 - 0.866025i) q^{2} +(-0.574618 - 1.63396i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.574618 + 2.16098i) q^{5} +(-1.70236 - 0.319344i) q^{6} +(-0.00953166 + 2.64573i) q^{7} -1.00000 q^{8} +(-2.33963 + 1.87780i) q^{9} +(1.58415 + 1.57812i) q^{10} +(3.28651 + 1.89747i) q^{11} +(-1.12774 + 1.31461i) q^{12} +(-0.0746185 - 0.129243i) q^{13} +(2.28651 + 1.33112i) q^{14} +(3.86113 - 0.302835i) q^{15} +(-0.500000 + 0.866025i) q^{16} +1.20503i q^{17} +(0.456412 + 2.96508i) q^{18} +5.63865i q^{19} +(2.15877 - 0.582853i) q^{20} +(4.32849 - 1.50471i) q^{21} +(3.28651 - 1.89747i) q^{22} +(-0.946880 - 1.64004i) q^{23} +(0.574618 + 1.63396i) q^{24} +(-4.33963 - 2.48347i) q^{25} -0.149237 q^{26} +(4.41264 + 2.74383i) q^{27} +(2.29604 - 1.31461i) q^{28} +(7.64520 + 4.41396i) q^{29} +(1.66830 - 3.49525i) q^{30} +(-1.41264 + 0.815589i) q^{31} +(0.500000 + 0.866025i) q^{32} +(1.21189 - 6.46033i) q^{33} +(1.04359 + 0.602516i) q^{34} +(-5.71189 - 1.54089i) q^{35} +(2.79604 + 1.08728i) q^{36} +1.53586i q^{37} +(4.88322 + 2.81933i) q^{38} +(-0.168300 + 0.196189i) q^{39} +(0.574618 - 2.16098i) q^{40} +(-3.57462 - 6.19142i) q^{41} +(0.861126 - 4.50094i) q^{42} +(-1.11678 - 0.644776i) q^{43} -3.79493i q^{44} +(-2.71349 - 6.13490i) q^{45} -1.89376 q^{46} +(3.25791 + 1.88096i) q^{47} +(1.70236 + 0.319344i) q^{48} +(-6.99982 - 0.0504365i) q^{49} +(-4.32056 + 2.51649i) q^{50} +(1.96897 - 0.692434i) q^{51} +(-0.0746185 + 0.129243i) q^{52} +3.61601 q^{53} +(4.58255 - 2.44955i) q^{54} +(-5.98886 + 6.01174i) q^{55} +(0.00953166 - 2.64573i) q^{56} +(9.21331 - 3.24007i) q^{57} +(7.64520 - 4.41396i) q^{58} +(-5.28793 - 9.15896i) q^{59} +(-2.19283 - 3.19242i) q^{60} +(3.15936 + 1.82406i) q^{61} +1.63118i q^{62} +(-4.94587 - 6.20793i) q^{63} +1.00000 q^{64} +(0.322168 - 0.0869833i) q^{65} +(-4.98886 - 4.27969i) q^{66} +(-4.16019 + 2.40189i) q^{67} +(1.04359 - 0.602516i) q^{68} +(-2.13567 + 2.48956i) q^{69} +(-4.19039 + 4.17620i) q^{70} +4.54742i q^{71} +(2.33963 - 1.87780i) q^{72} +6.44605 q^{73} +(1.33010 + 0.767931i) q^{74} +(-1.56426 + 8.51781i) q^{75} +(4.88322 - 2.81933i) q^{76} +(-5.05152 + 8.67714i) q^{77} +(0.0857543 + 0.243847i) q^{78} +(-8.64906 + 14.9806i) q^{79} +(-1.58415 - 1.57812i) q^{80} +(1.94771 - 8.78672i) q^{81} -7.14924 q^{82} +(6.11660 + 3.53142i) q^{83} +(-3.46737 - 2.99623i) q^{84} +(-2.60404 - 0.692434i) q^{85} +(-1.11678 + 0.644776i) q^{86} +(2.81914 - 15.0283i) q^{87} +(-3.28651 - 1.89747i) q^{88} +18.2268 q^{89} +(-6.66972 - 0.717495i) q^{90} +(0.342654 - 0.196189i) q^{91} +(-0.946880 + 1.64004i) q^{92} +(2.14437 + 1.83954i) q^{93} +(3.25791 - 1.88096i) q^{94} +(-12.1850 - 3.24007i) q^{95} +(1.12774 - 1.31461i) q^{96} +(-5.13869 + 8.90048i) q^{97} +(-3.54359 + 6.03680i) q^{98} +(-11.2523 + 1.73205i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 4 q^{2} - 4 q^{4} - 3 q^{6} + 2 q^{7} - 8 q^{8}+O(q^{10}) \) 8 * q + 4 * q^2 - 4 * q^4 - 3 * q^6 + 2 * q^7 - 8 * q^8	\( 8 q + 4 q^{2} - 4 q^{4} - 3 q^{6} + 2 q^{7} - 8 q^{8} + 6 q^{10} + 9 q^{11} - 3 q^{12} + 4 q^{13} + q^{14} + 9 q^{15} - 4 q^{16} + 3 q^{18} + 6 q^{20} - 12 q^{21} + 9 q^{22} - 9 q^{23} - 16 q^{25} + 8 q^{26} - 18 q^{27} - q^{28} + 21 q^{29} + 42 q^{31} + 4 q^{32} - 3 q^{33} + 9 q^{34} - 33 q^{35} + 3 q^{36} + 21 q^{38} + 12 q^{39} - 24 q^{41} - 15 q^{42} - 27 q^{43} - 39 q^{45} - 18 q^{46} + 15 q^{47} + 3 q^{48} - 4 q^{49} - 20 q^{50} + 21 q^{51} + 4 q^{52} - 12 q^{53} - 20 q^{55} - 2 q^{56} + 39 q^{57} + 21 q^{58} - 3 q^{59} - 9 q^{60} + 21 q^{61} - 18 q^{63} + 8 q^{64} + 18 q^{65} - 12 q^{66} + 9 q^{68} + 21 q^{69} - 24 q^{70} + 82 q^{73} - 6 q^{74} - 39 q^{75} + 21 q^{76} - 9 q^{77} + 24 q^{78} - 8 q^{79} - 6 q^{80} - 12 q^{81} - 48 q^{82} + 15 q^{83} - 3 q^{84} + 19 q^{85} - 27 q^{86} + 30 q^{87} - 9 q^{88} - 42 q^{89} - 18 q^{90} - 8 q^{91} - 9 q^{92} + 6 q^{93} + 15 q^{94} + 9 q^{95} + 3 q^{96} - 11 q^{97} - 29 q^{98} - 18 q^{99}+O(q^{100}) \) 8 * q + 4 * q^2 - 4 * q^4 - 3 * q^6 + 2 * q^7 - 8 * q^8 + 6 * q^10 + 9 * q^11 - 3 * q^12 + 4 * q^13 + q^14 + 9 * q^15 - 4 * q^16 + 3 * q^18 + 6 * q^20 - 12 * q^21 + 9 * q^22 - 9 * q^23 - 16 * q^25 + 8 * q^26 - 18 * q^27 - q^28 + 21 * q^29 + 42 * q^31 + 4 * q^32 - 3 * q^33 + 9 * q^34 - 33 * q^35 + 3 * q^36 + 21 * q^38 + 12 * q^39 - 24 * q^41 - 15 * q^42 - 27 * q^43 - 39 * q^45 - 18 * q^46 + 15 * q^47 + 3 * q^48 - 4 * q^49 - 20 * q^50 + 21 * q^51 + 4 * q^52 - 12 * q^53 - 20 * q^55 - 2 * q^56 + 39 * q^57 + 21 * q^58 - 3 * q^59 - 9 * q^60 + 21 * q^61 - 18 * q^63 + 8 * q^64 + 18 * q^65 - 12 * q^66 + 9 * q^68 + 21 * q^69 - 24 * q^70 + 82 * q^73 - 6 * q^74 - 39 * q^75 + 21 * q^76 - 9 * q^77 + 24 * q^78 - 8 * q^79 - 6 * q^80 - 12 * q^81 - 48 * q^82 + 15 * q^83 - 3 * q^84 + 19 * q^85 - 27 * q^86 + 30 * q^87 - 9 * q^88 - 42 * q^89 - 18 * q^90 - 8 * q^91 - 9 * q^92 + 6 * q^93 + 15 * q^94 + 9 * q^95 + 3 * q^96 - 11 * q^97 - 29 * q^98 - 18 * q^99

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