LMFDB - Embedded newform 252.2.bb.a.23.36

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(11,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 1, 4]))

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

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

chi := DirichletCharacter("252.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bb (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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			23.36
Character	$\chi$	$=$	252.23
Dual form			252.2.bb.a.11.36

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.12310 + 0.859445i) q^{2} +(-1.72883 - 0.105547i) q^{3} +(0.522707 + 1.93049i) q^{4} +(2.12868 - 1.22899i) q^{5} +(-1.85094 - 1.60438i) q^{6} +(2.32866 - 1.25593i) q^{7} +(-1.07210 + 2.61737i) q^{8} +(2.97772 + 0.364945i) q^{9} +O(q^{10})$	\(q+(1.12310 + 0.859445i) q^{2} +(-1.72883 - 0.105547i) q^{3} +(0.522707 + 1.93049i) q^{4} +(2.12868 - 1.22899i) q^{5} +(-1.85094 - 1.60438i) q^{6} +(2.32866 - 1.25593i) q^{7} +(-1.07210 + 2.61737i) q^{8} +(2.97772 + 0.364945i) q^{9} +(3.44698 + 0.449201i) q^{10} +(-1.86626 + 3.23245i) q^{11} +(-0.699917 - 3.39266i) q^{12} +(-0.708051 + 1.22638i) q^{13} +(3.69472 + 0.590820i) q^{14} +(-3.80985 + 1.90005i) q^{15} +(-3.45355 + 2.01816i) q^{16} +(3.50791 - 2.02529i) q^{17} +(3.03063 + 2.96906i) q^{18} +(1.98185 + 1.14422i) q^{19} +(3.48523 + 3.46699i) q^{20} +(-4.15842 + 1.92551i) q^{21} +(-4.87411 + 2.02642i) q^{22} +(-1.80849 - 3.13240i) q^{23} +(2.12973 - 4.41183i) q^{24} +(0.520855 - 0.902147i) q^{25} +(-1.84922 + 0.768816i) q^{26} +(-5.10946 - 0.945216i) q^{27} +(3.64176 + 3.83896i) q^{28} +(-4.59226 + 2.65135i) q^{29} +(-5.91183 - 1.14041i) q^{30} -6.22098i q^{31} +(-5.61318 - 0.701549i) q^{32} +(3.56762 - 5.39139i) q^{33} +(5.68037 + 0.740251i) q^{34} +(3.41344 - 5.53538i) q^{35} +(0.851955 + 5.93921i) q^{36} +(2.37386 - 4.11165i) q^{37} +(1.24242 + 2.98837i) q^{38} +(1.35354 - 2.04547i) q^{39} +(0.934581 + 6.88914i) q^{40} +(-7.67307 - 4.43005i) q^{41} +(-6.32519 - 1.41139i) q^{42} +(10.5542 - 6.09346i) q^{43} +(-7.21571 - 1.91316i) q^{44} +(6.78713 - 2.88275i) q^{45} +(0.661009 - 5.07229i) q^{46} -8.67939 q^{47} +(6.18363 - 3.12454i) q^{48} +(3.84529 - 5.84925i) q^{49} +(1.36032 - 0.565555i) q^{50} +(-6.27835 + 3.13115i) q^{51} +(-2.73761 - 0.725845i) q^{52} +(-6.93030 + 4.00121i) q^{53} +(-4.92607 - 5.45287i) q^{54} +9.17448i q^{55} +(0.790684 + 7.44143i) q^{56} +(-3.30552 - 2.18735i) q^{57} +(-7.43626 - 0.969075i) q^{58} +3.51395 q^{59} +(-5.65945 - 6.36169i) q^{60} -10.4658 q^{61} +(5.34660 - 6.98679i) q^{62} +(7.39243 - 2.88997i) q^{63} +(-5.70122 - 5.61213i) q^{64} +3.48076i q^{65} +(8.64040 - 2.98890i) q^{66} +10.9623i q^{67} +(5.74341 + 5.71334i) q^{68} +(2.79596 + 5.60627i) q^{69} +(8.59099 - 3.28312i) q^{70} -2.01888 q^{71} +(-4.14759 + 7.40253i) q^{72} +(0.474356 + 0.821609i) q^{73} +(6.19983 - 2.57759i) q^{74} +(-0.995689 + 1.50469i) q^{75} +(-1.17298 + 4.42403i) q^{76} +(-0.286144 + 9.87116i) q^{77} +(3.27813 - 1.13398i) q^{78} +4.03670i q^{79} +(-4.87121 + 8.54041i) q^{80} +(8.73363 + 2.17341i) q^{81} +(-4.81024 - 11.5700i) q^{82} +(0.112352 + 0.194599i) q^{83} +(-5.89080 - 7.02129i) q^{84} +(4.97815 - 8.62241i) q^{85} +(17.0904 + 2.22718i) q^{86} +(8.21909 - 4.09903i) q^{87} +(-6.45971 - 8.35018i) q^{88} +(-8.55343 - 4.93832i) q^{89} +(10.1002 + 2.59555i) q^{90} +(-0.108562 + 3.74508i) q^{91} +(5.10174 - 5.12859i) q^{92} +(-0.656604 + 10.7550i) q^{93} +(-9.74782 - 7.45946i) q^{94} +5.62497 q^{95} +(9.63020 + 1.80531i) q^{96} +(6.52412 + 11.3001i) q^{97} +(9.34576 - 3.26448i) q^{98} +(-6.73686 + 8.94426i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$-1$

Coefficient data

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

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

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

$2$	1.12310	+	0.859445i	0.794152	+	0.607720i
$2$	1.12310	+	0.859445i	0.794152	+	0.607720i
$3$	−1.72883	−	0.105547i	−0.998142	−	0.0609373i
$3$	−1.72883	−	0.105547i	−0.998142	−	0.0609373i
$4$	0.522707	+	1.93049i	0.261354	+	0.965243i
$5$	2.12868	−	1.22899i	0.951975	−	0.549623i	0.0582811	−	0.998300i	$-0.481438\pi$
$5$	2.12868	−	1.22899i	0.951975	−	0.549623i	0.893694	+	0.448677i	$0.148105\pi$
$6$	−1.85094	−	1.60438i	−0.755643	−	0.654984i
$7$	2.32866	−	1.25593i	0.880150	−	0.474696i
$7$	2.32866	−	1.25593i	0.880150	−	0.474696i
$8$	−1.07210	+	2.61737i	−0.379043	+	0.925379i
$9$	2.97772	+	0.364945i	0.992573	+	0.121648i
$10$	3.44698	+	0.449201i	1.09003	+	0.142050i
$11$	−1.86626	+	3.23245i	−0.562698	+	0.974621i	0.434562	+	0.900642i	$0.356903\pi$
$11$	−1.86626	+	3.23245i	−0.562698	+	0.974621i	−0.997260	+	0.0739794i	$0.976430\pi$
$12$	−0.699917	−	3.39266i	−0.202048	−	0.979376i
$13$	−0.708051	+	1.22638i	−0.196378	+	0.340137i	−0.947351	−	0.320196i	$-0.896251\pi$
$13$	−0.708051	+	1.22638i	−0.196378	+	0.340137i	0.750973	+	0.660332i	$0.229585\pi$
$14$	3.69472	+	0.590820i	0.987455	+	0.157903i
$15$	−3.80985	+	1.90005i	−0.983698	+	0.490591i
$16$	−3.45355	+	2.01816i	−0.863389	+	0.504539i
$17$	3.50791	−	2.02529i	0.850794	−	0.491206i	−0.0101248	−	0.999949i	$-0.503223\pi$
$17$	3.50791	−	2.02529i	0.850794	−	0.491206i	0.860919	+	0.508743i	$0.169890\pi$
$18$	3.03063	+	2.96906i	0.714326	+	0.699813i
$19$	1.98185	+	1.14422i	0.454668	+	0.262503i	0.709800	−	0.704404i	$-0.248785\pi$
$19$	1.98185	+	1.14422i	0.454668	+	0.262503i	−0.255132	+	0.966906i	$0.582119\pi$
$20$	3.48523	+	3.46699i	0.779322	+	0.775241i
$21$	−4.15842	+	1.92551i	−0.907441	+	0.420180i
$22$	−4.87411	+	2.02642i	−1.03916	+	0.432035i
$23$	−1.80849	−	3.13240i	−0.377096	−	0.653150i	0.613542	−	0.789662i	$-0.289744\pi$
$23$	−1.80849	−	3.13240i	−0.377096	−	0.653150i	−0.990638	+	0.136512i	$0.956411\pi$
$24$	2.12973	−	4.41183i	0.434729	−	0.900561i
$25$	0.520855	−	0.902147i	0.104171	−	0.180429i
$26$	−1.84922	+	0.768816i	−0.362662	+	0.150777i
$27$	−5.10946	−	0.945216i	−0.983316	−	0.181907i
$28$	3.64176	+	3.83896i	0.688228	+	0.725495i
$29$	−4.59226	+	2.65135i	−0.852762	+	0.492342i	−0.861582	−	0.507619i	$-0.830526\pi$
$29$	−4.59226	+	2.65135i	−0.852762	+	0.492342i	0.00881973	+	0.999961i	$0.497193\pi$
$30$	−5.91183	−	1.14041i	−1.07935	−	0.208209i
$31$		−	6.22098i		−	1.11732i	−0.829396	−	0.558661i	$-0.811315\pi$
$31$		−	6.22098i		−	1.11732i	0.829396	−	0.558661i	$-0.188685\pi$
$32$	−5.61318	−	0.701549i	−0.992280	−	0.124017i
$33$	3.56762	−	5.39139i	0.621043	−	0.938521i
$34$	5.68037	+	0.740251i	0.974175	+	0.126952i
$35$	3.41344	−	5.53538i	0.576976	−	0.935650i
$36$	0.851955	+	5.93921i	0.141992	+	0.989868i
$37$	2.37386	−	4.11165i	0.390261	−	0.675952i	−0.602223	−	0.798328i	$-0.705718\pi$
$37$	2.37386	−	4.11165i	0.390261	−	0.675952i	0.992484	+	0.122376i	$0.0390515\pi$
$38$	1.24242	+	2.98837i	0.201547	+	0.484778i
$39$	1.35354	−	2.04547i	0.216740	−	0.327538i
$40$	0.934581	+	6.88914i	0.147770	+	1.08927i
$41$	−7.67307	−	4.43005i	−1.19833	−	0.691857i	−0.238149	−	0.971229i	$-0.576541\pi$
$41$	−7.67307	−	4.43005i	−1.19833	−	0.691857i	−0.960183	+	0.279372i	$0.909874\pi$
$42$	−6.32519	−	1.41139i	−0.975997	−	0.217783i
$43$	10.5542	−	6.09346i	1.60950	−	0.929244i	0.620016	−	0.784590i	$-0.287126\pi$
$43$	10.5542	−	6.09346i	1.60950	−	0.929244i	0.989482	−	0.144654i	$-0.0462070\pi$
$44$	−7.21571	−	1.91316i	−1.08781	−	0.288420i
$45$	6.78713	−	2.88275i	1.01177	−	0.429735i
$46$	0.661009	−	5.07229i	0.0974604	−	0.747869i
$47$	−8.67939			−1.26602			−0.633010	−	0.774144i	$-0.718181\pi$
$47$	−8.67939			−1.26602			−0.633010	+	0.774144i	$0.718181\pi$
$48$	6.18363	−	3.12454i	0.892529	−	0.450989i
$49$	3.84529	−	5.84925i	0.549327	−	0.835608i
$50$	1.36032	−	0.565555i	0.192378	−	0.0799816i
$51$	−6.27835	+	3.13115i	−0.879145	+	0.438448i
$52$	−2.73761	−	0.725845i	−0.379639	−	0.100657i
$53$	−6.93030	+	4.00121i	−0.951950	+	0.549609i	−0.893686	−	0.448693i	$-0.851890\pi$
$53$	−6.93030	+	4.00121i	−0.951950	+	0.549609i	−0.0582640	+	0.998301i	$0.518557\pi$
$54$	−4.92607	−	5.45287i	−0.670353	−	0.742042i
$55$			9.17448i			1.23709i
$56$	0.790684	+	7.44143i	0.105660	+	0.994402i
$57$	−3.30552	−	2.18735i	−0.437827	−	0.289721i
$58$	−7.43626	−	0.969075i	−0.976429	−	0.127246i
$59$	3.51395			0.457478			0.228739	−	0.973488i	$-0.426540\pi$
$59$	3.51395			0.457478			0.228739	+	0.973488i	$0.426540\pi$
$60$	−5.65945	−	6.36169i	−0.730632	−	0.821291i
$61$	−10.4658			−1.34001			−0.670003	−	0.742359i	$-0.733707\pi$
$61$	−10.4658			−1.34001			−0.670003	+	0.742359i	$0.733707\pi$
$62$	5.34660	−	6.98679i	0.679018	−	0.887323i
$63$	7.39243	−	2.88997i	0.931359	−	0.364102i
$64$	−5.70122	−	5.61213i	−0.712653	−	0.701517i
$65$			3.48076i			0.431736i
$66$	8.64040	−	2.98890i	1.06356	−	0.367908i
$67$			10.9623i			1.33926i	0.742695	+	0.669630i	$0.233547\pi$
$67$			10.9623i			1.33926i	−0.742695	+	0.669630i	$0.766453\pi$
$68$	5.74341	+	5.71334i	0.696491	+	0.692844i
$69$	2.79596	+	5.60627i	0.336594	+	0.674915i
$70$	8.59099	−	3.28312i	1.02682	−	0.392408i
$71$	−2.01888			−0.239597			−0.119799	−	0.992798i	$-0.538225\pi$
$71$	−2.01888			−0.239597			−0.119799	+	0.992798i	$0.538225\pi$
$72$	−4.14759	+	7.40253i	−0.488799	+	0.872397i
$73$	0.474356	+	0.821609i	0.0555192	+	0.0961621i	0.892449	−	0.451148i	$-0.148985\pi$
$73$	0.474356	+	0.821609i	0.0555192	+	0.0961621i	−0.836930	+	0.547310i	$0.815652\pi$
$74$	6.19983	−	2.57759i	0.720715	−	0.299639i
$75$	−0.995689	+	1.50469i	−0.114972	+	0.173746i
$76$	−1.17298	+	4.42403i	−0.134550	+	0.507471i
$77$	−0.286144	+	9.87116i	−0.0326092	+	1.12492i
$78$	3.27813	−	1.13398i	0.371176	−	0.128397i
$79$			4.03670i			0.454164i	0.973876	+	0.227082i	$0.0729185\pi$
$79$			4.03670i			0.454164i	−0.973876	+	0.227082i	$0.927081\pi$
$80$	−4.87121	+	8.54041i	−0.544618	+	0.954847i
$81$	8.73363	+	2.17341i	0.970403	+	0.241490i
$82$	−4.81024	−	11.5700i	−0.531202	−	1.27769i
$83$	0.112352	+	0.194599i	0.0123322	+	0.0213601i	0.872126	−	0.489282i	$-0.162741\pi$
$83$	0.112352	+	0.194599i	0.0123322	+	0.0213601i	−0.859793	+	0.510642i	$0.829408\pi$
$84$	−5.89080	−	7.02129i	−0.642739	−	0.766085i
$85$	4.97815	−	8.62241i	0.539956	−	0.935232i
$86$	17.0904	+	2.22718i	1.84291	+	0.240163i
$87$	8.21909	−	4.09903i	0.881179	−	0.439462i
$88$	−6.45971	−	8.35018i	−0.688608	−	0.890132i
$89$	−8.55343	−	4.93832i	−0.906662	−	0.523461i	−0.0273061	−	0.999627i	$-0.508693\pi$
$89$	−8.55343	−	4.93832i	−0.906662	−	0.523461i	−0.879356	+	0.476166i	$0.842026\pi$
$90$	10.1002	+	2.59555i	1.06465	+	0.273595i
$91$	−0.108562	+	3.74508i	−0.0113804	+	0.392591i
$92$	5.10174	−	5.12859i	0.531893	−	0.534692i
$93$	−0.656604	+	10.7550i	−0.0680866	+	1.11525i
$94$	−9.74782	−	7.45946i	−1.00541	−	0.769385i
$95$	5.62497			0.577110
$96$	9.63020	+	1.80531i	0.982879	+	0.184254i
$97$	6.52412	+	11.3001i	0.662424	+	1.14735i	0.979977	+	0.199111i	$0.0638056\pi$
$97$	6.52412	+	11.3001i	0.662424	+	1.14735i	−0.317553	+	0.948241i	$0.602861\pi$
$98$	9.34576	−	3.26448i	0.944064	−	0.329762i
$99$	−6.73686	+	8.94426i	−0.677080	+	0.898932i
$100$	2.01384	+	0.533944i	0.201384	+	0.0533944i
$101$	4.74693	+	2.74064i	0.472337	+	0.272704i	0.717218	−	0.696849i	$-0.245415\pi$
$101$	4.74693	+	2.74064i	0.472337	+	0.272704i	−0.244880	+	0.969553i	$0.578749\pi$
$102$	−9.74227	−	1.87931i	−0.964628	−	0.186080i
$103$	14.2427	−	8.22305i	1.40338	−	0.810241i	0.408641	−	0.912695i	$-0.366003\pi$
$103$	14.2427	−	8.22305i	1.40338	−	0.810241i	0.994738	+	0.102454i	$0.0326695\pi$
$104$	−2.45079	−	3.16803i	−0.240320	−	0.310650i
$105$	−6.48550	+	9.20946i	−0.632920	+	0.898751i
$106$	−11.2222	−	1.46246i	−1.09000	−	0.142046i
$107$	−4.38000	+	7.58638i	−0.423431	+	0.733404i	−0.996272	−	0.0862625i	$-0.972508\pi$
$107$	−4.38000	+	7.58638i	−0.423431	+	0.733404i	0.572842	+	0.819666i	$0.305841\pi$
$108$	−0.846024	−	10.3578i	−0.0814087	−	0.996681i
$109$	−5.83206	−	10.1014i	−0.558610	−	0.967541i	−0.997613	−	0.0690550i	$-0.978002\pi$
$109$	−5.83206	−	10.1014i	−0.558610	−	0.967541i	0.439003	−	0.898486i	$-0.355332\pi$
$110$	−7.88497	+	10.3039i	−0.751802	+	0.982435i
$111$	−4.53798	+	6.85780i	−0.430726	+	0.650914i
$112$	−5.50748	+	9.03701i	−0.520408	+	0.853918i
$113$	−8.35926	−	4.82622i	−0.786373	−	0.454013i	0.0523109	−	0.998631i	$-0.483341\pi$
$113$	−8.35926	−	4.82622i	−0.786373	−	0.454013i	−0.838684	+	0.544618i	$0.816675\pi$
$114$	−1.83252	−	5.29752i	−0.171632	−	0.496158i
$115$	−7.69939	−	4.44525i	−0.717972	−	0.414521i
$116$	−7.51879	−	7.47943i	−0.698103	−	0.694447i
$117$	−2.55594	+	3.39342i	−0.236297	+	0.313722i
$118$	3.94652	+	3.02005i	0.363307	+	0.278018i
$119$	5.62510	−	9.12190i	0.515652	−	0.836203i
$120$	−0.888609	−	12.0088i	−0.0811185	−	1.09625i
$121$	−1.46584	−	2.53890i	−0.133258	−	0.230809i
$122$	−11.7541	−	8.99476i	−1.06417	−	0.814348i
$123$	12.7979	+	8.46867i	1.15394	+	0.763595i
$124$	12.0095	−	3.25175i	1.07849	−	0.292016i
$125$			9.72943i			0.870227i
$126$	10.7862	+	3.10766i	0.960912	+	0.276853i
$127$		−	0.937979i		−	0.0832322i	−0.999134	−	0.0416161i	$-0.986749\pi$
$127$		−	0.937979i		−	0.0832322i	0.999134	−	0.0416161i	$-0.0132506\pi$
$128$	−1.57972	−	11.2029i	−0.139629	−	0.990204i
$129$	−18.8896	+	9.42061i	−1.66313	+	0.829439i
$130$	−2.99153	+	3.90924i	−0.262374	+	0.342863i
$131$	−3.48595	−	6.03784i	−0.304569	−	0.527529i	0.672596	−	0.740009i	$-0.265179\pi$
$131$	−3.48595	−	6.03784i	−0.304569	−	0.527529i	−0.977165	+	0.212481i	$0.931846\pi$
$132$	12.2728	+	4.06912i	1.06821	+	0.354172i
$133$	6.05211	+	0.175438i	0.524785	+	0.0152124i
$134$	−9.42152	+	12.3118i	−0.813895	+	1.06358i
$135$	−12.0381	+	4.26743i	−1.03607	+	0.367282i
$136$	1.54012	+	11.3528i	0.132064	+	0.973495i
$137$	12.6158	+	7.28375i	1.07784	+	0.622293i	0.930314	−	0.366765i	$-0.119535\pi$
$137$	12.6158	+	7.28375i	1.07784	+	0.622293i	0.147529	+	0.989058i	$0.452868\pi$
$138$	−1.67814	+	8.69937i	−0.142852	+	0.740540i
$139$	−11.2990	−	6.52347i	−0.958368	−	0.553314i	−0.0626973	−	0.998033i	$-0.519970\pi$
$139$	−11.2990	−	6.52347i	−0.958368	−	0.553314i	−0.895670	+	0.444719i	$0.853304\pi$
$140$	12.4702	+	3.69621i	1.05392	+	0.312387i
$141$	15.0052	+	0.916080i	1.26367	+	0.0771479i
$142$	−2.26741	−	1.73512i	−0.190277	−	0.145608i
$143$	−2.64281	−	4.57748i	−0.221003	−	0.382788i
$144$	−11.0202	+	4.74915i	−0.918353	+	0.395763i
$145$	−6.51698	+	11.2877i	−0.541205	+	0.937395i
$146$	−0.173379	+	1.33043i	−0.0143489	+	0.110107i
$147$	−7.26522	+	9.70652i	−0.599226	+	0.800580i
$148$	9.17833	+	2.43352i	0.754454	+	0.200034i
$149$	19.2464	−	11.1119i	1.57672	−	0.910321i	0.581410	−	0.813611i	$-0.302501\pi$
$149$	19.2464	−	11.1119i	1.57672	−	0.910321i	0.995313	−	0.0967108i	$-0.0308322\pi$
$150$	−2.41145	+	0.834173i	−0.196894	+	0.0681099i
$151$	1.95469	+	1.12854i	0.159071	+	0.0918395i	0.577422	−	0.816446i	$-0.304059\pi$
$151$	1.95469	+	1.12854i	0.159071	+	0.0918395i	−0.418352	+	0.908285i	$0.637392\pi$
$152$	−5.11958	+	3.96052i	−0.415253	+	0.321240i
$153$	11.1847	−	4.75057i	0.904229	−	0.384060i
$154$	−8.80509	+	10.8404i	−0.709535	+	0.873542i
$155$	−7.64556	−	13.2425i	−0.614106	−	1.06366i
$156$	4.65626	+	1.54381i	0.372799	+	0.123604i
$157$	−2.22361			−0.177463			−0.0887317	−	0.996056i	$-0.528281\pi$
$157$	−2.22361			−0.177463			−0.0887317	+	0.996056i	$0.528281\pi$
$158$	−3.46932	+	4.53362i	−0.276004	+	0.360675i
$159$	12.4036	−	6.18595i	0.983673	−	0.490578i
$160$	−12.8109	+	5.40520i	−1.01279	+	0.427318i
$161$	−8.14542	−	5.02294i	−0.641949	−	0.395863i
$162$	7.94082	+	9.94703i	0.623890	+	0.781513i
$163$	0.479974	+	0.277113i	0.0375945	+	0.0217052i	0.518679	−	0.854969i	$-0.326424\pi$
$163$	0.479974	+	0.277113i	0.0375945	+	0.0217052i	−0.481085	+	0.876674i	$0.659757\pi$
$164$	4.54138	−	17.1284i	0.354622	−	1.33750i
$165$	0.968335	−	15.8611i	0.0753848	−	1.23479i
$166$	−0.0410650	+	0.315115i	−0.00318726	+	0.0244577i
$167$	5.78903	−	10.0269i	0.447968	−	0.775904i	−0.550285	−	0.834977i	$-0.685481\pi$
$167$	5.78903	−	10.0269i	0.447968	−	0.775904i	0.998254	+	0.0590727i	$0.0188144\pi$
$168$	−0.581543	−	12.9484i	−0.0448670	−	0.998993i
$169$	5.49733	+	9.52165i	0.422871	+	0.732435i
$170$	13.0015	−	5.40538i	0.997166	−	0.414574i
$171$	5.48382	+	4.13044i	0.419358	+	0.315863i
$172$	17.2801	+	17.1896i	1.31759	+	1.31070i
$173$			10.6600i			0.810468i	0.914213	+	0.405234i	$0.132810\pi$
$173$			10.6600i			0.810468i	−0.914213	+	0.405234i	$0.867190\pi$
$174$	12.7538	+	2.46024i	0.966860	+	0.186510i
$175$	0.0798601	−	2.75495i	0.00603686	−	0.208254i
$176$	−0.0783779	−	14.9299i	−0.00590795	−	1.12538i
$177$	−6.07504	−	0.370886i	−0.456628	−	0.0278775i
$178$	−5.36214	−	12.8974i	−0.401909	−	0.966704i
$179$	10.5947	+	18.3506i	0.791886	+	1.37159i	0.924798	+	0.380459i	$0.124234\pi$
$179$	10.5947	+	18.3506i	0.791886	+	1.37159i	−0.132911	+	0.991128i	$0.542433\pi$
$180$	9.11279	+	11.5956i	0.679227	+	0.864287i
$181$	−16.5889			−1.23304			−0.616521	−	0.787338i	$-0.711459\pi$
$181$	−16.5889			−1.23304			−0.616521	+	0.787338i	$0.711459\pi$
$182$	−3.34062	+	4.11280i	−0.247623	+	0.304861i
$183$	18.0936	+	1.10463i	1.33751	+	0.0816564i
$184$	10.1375	−	1.37525i	0.747347	−	0.101385i
$185$		−	11.6699i		−	0.857985i
$186$	−9.98080	+	11.5147i	−0.731828	+	0.844296i
$187$			15.1189i			1.10560i
$188$	−4.53678	−	16.7554i	−0.330879	−	1.22202i
$189$	−13.0853	+	4.21603i	−0.951816	+	0.306671i
$190$	6.31741	+	4.83436i	0.458313	+	0.350721i
$191$	16.4855			1.19285			0.596423	−	0.802670i	$-0.296588\pi$
$191$	16.4855			1.19285			0.596423	+	0.802670i	$0.296588\pi$
$192$	9.26412	+	10.3042i	0.668580	+	0.743640i
$193$	23.1708			1.66787			0.833936	−	0.551861i	$-0.186082\pi$
$193$	23.1708			1.66787			0.833936	+	0.551861i	$0.186082\pi$
$194$	−2.38459	+	18.2983i	−0.171203	+	1.31374i
$195$	0.367383	−	6.01765i	0.0263088	−	0.430933i
$196$	13.3019	+	4.36583i	0.950133	+	0.311845i
$197$		−	14.4116i		−	1.02679i	−0.858154	−	0.513393i	$-0.828389\pi$
$197$		−	14.4116i		−	1.02679i	0.858154	−	0.513393i	$-0.171611\pi$
$198$	−15.2533	+	4.25533i	−1.08400	+	0.302413i
$199$	−2.36477	+	1.36530i	−0.167634	+	0.0967837i	−0.581470	−	0.813568i	$-0.697522\pi$
$199$	−2.36477	+	1.36530i	−0.167634	+	0.0967837i	0.413836	+	0.910352i	$0.364189\pi$
$200$	1.80284	+	2.33046i	0.127480	+	0.164788i
$201$	1.15704	−	18.9520i	0.0816110	−	1.33677i
$202$	2.97585	+	7.15774i	0.209380	+	0.503617i
$203$	−7.36391	+	11.9416i	−0.516845	+	0.838138i
$204$	−9.32637	−	10.4836i	−0.652977	−	0.733999i
$205$	−21.7780			−1.52104
$206$	23.0633	+	3.00555i	1.60689	+	0.209407i
$207$	−4.24202	−	9.98739i	−0.294841	−	0.694172i
$208$	−0.0297363	−	5.66433i	−0.00206184	−	0.392751i
$209$	−7.39729	+	4.27083i	−0.511681	+	0.295419i
$210$	−15.1989	+	4.76921i	−1.04882	+	0.329107i
$211$	−7.91848	−	4.57174i	−0.545131	−	0.314731i	0.202025	−	0.979380i	$-0.435248\pi$
$211$	−7.91848	−	4.57174i	−0.545131	−	0.314731i	−0.747156	+	0.664649i	$0.768581\pi$
$212$	−11.3468	−	11.2874i	−0.779302	−	0.775221i
$213$	3.49031	+	0.213086i	0.239152	+	0.0146004i
$214$	−11.4393	+	4.75590i	−0.781972	+	0.325106i
$215$	14.9777	−	25.9421i	1.02147	−	1.76923i
$216$	7.95180	−	12.3600i	0.541052	−	0.840989i
$217$	−7.81311	−	14.4865i	−0.530389	−	0.983410i
$218$	2.13164	−	16.3572i	0.144373	−	1.10785i
$219$	−0.733364	−	1.47049i	−0.0495562	−	0.0993666i
$220$	−17.7112	+	4.79557i	−1.19409	+	0.323317i
$221$			5.73605i			0.385848i
$222$	−10.9905	+	3.80185i	−0.737635	+	0.255164i
$223$	−7.77997	+	4.49177i	−0.520985	+	0.300791i	−0.737338	−	0.675524i	$-0.763917\pi$
$223$	−7.77997	+	4.49177i	−0.520985	+	0.300791i	0.216352	+	0.976315i	$0.430584\pi$
$224$	−13.9523	+	5.41609i	−0.932226	+	0.361878i
$225$	1.88019	−	2.49626i	0.125346	−	0.166417i
$226$	−5.24041	−	12.6047i	−0.348587	−	0.838450i
$227$	−5.18438	+	8.97960i	−0.344099	+	0.595997i	−0.985190	−	0.171468i	$-0.945149\pi$
$227$	−5.18438	+	8.97960i	−0.344099	+	0.595997i	0.641091	+	0.767465i	$0.278482\pi$
$228$	2.49482	−	7.52460i	0.165224	−	0.498329i
$229$	1.85500	+	3.21296i	0.122582	+	0.212318i	0.920785	−	0.390070i	$-0.127549\pi$
$229$	1.85500	+	3.21296i	0.122582	+	0.212318i	−0.798203	+	0.602388i	$0.794216\pi$
$230$	−4.82674	−	11.6097i	−0.318266	−	0.765519i
$231$	1.53656	−	17.0354i	0.101098	−	1.12085i
$232$	−2.01620	−	14.8621i	−0.132370	−	0.975747i
$233$	12.9602	+	7.48260i	0.849054	+	0.490201i	0.860331	−	0.509735i	$-0.170257\pi$
$233$	12.9602	+	7.48260i	0.849054	+	0.490201i	−0.0112778	+	0.999936i	$0.503590\pi$
$234$	−5.78703	+	1.61446i	−0.378310	+	0.105540i
$235$	−18.4757	+	10.6669i	−1.20522	+	0.695833i
$236$	1.83677	+	6.78364i	0.119563	+	0.441577i
$237$	0.426060	−	6.97877i	0.0276756	−	0.453320i
$238$	14.1573	−	5.41034i	0.917683	−	0.350700i
$239$	−6.84478	+	11.8555i	−0.442752	+	0.766869i	−0.997893	−	0.0648877i	$-0.979331\pi$
$239$	−6.84478	+	11.8555i	−0.442752	+	0.766869i	0.555141	+	0.831756i	$0.312664\pi$
$240$	9.32292	−	14.2508i	0.601792	−	0.919885i
$241$	−5.86918	+	10.1657i	−0.378067	+	0.654832i	−0.990781	−	0.135473i	$-0.956745\pi$
$241$	−5.86918	+	10.1657i	−0.378067	+	0.654832i	0.612714	+	0.790305i	$0.290078\pi$
$242$	0.535768	−	4.11125i	0.0344405	−	0.264281i
$243$	−14.8696	−	4.67926i	−0.953884	−	0.300175i
$244$	−5.47054	−	20.2040i	−0.350215	−	1.29343i
$245$	0.996689	−	17.1770i	0.0636761	−	1.09740i
$246$	7.09492	+	20.5102i	0.452356	+	1.30768i
$247$	−2.80650	+	1.62034i	−0.178574	+	0.103100i
$248$	16.2826	+	6.66949i	1.03395	+	0.423513i
$249$	−0.173699	−	0.348288i	−0.0110077	−	0.0220719i
$250$	−8.36192	+	10.9271i	−0.528854	+	0.691092i
$251$	−17.6466			−1.11384			−0.556922	−	0.830565i	$-0.688018\pi$
$251$	−17.6466			−1.11384			−0.556922	+	0.830565i	$0.688018\pi$
$252$	9.44313	+	12.7604i	0.594861	+	0.803828i
$253$	13.5004			0.848765
$254$	0.806142	−	1.05344i	0.0505819	−	0.0660990i
$255$	−9.51645	+	14.3813i	−0.595943	+	0.900590i
$256$	7.85408	−	13.9396i	0.490880	−	0.871227i
$257$	12.9216	−	7.46029i	0.806027	−	0.465360i	−0.0395470	−	0.999218i	$-0.512591\pi$
$257$	12.9216	−	7.46029i	0.806027	−	0.465360i	0.845574	+	0.533858i	$0.179258\pi$
$258$	−29.3114	−	5.65425i	−1.82485	−	0.352018i
$259$	0.363973	−	12.5560i	0.0226162	−	0.780194i
$260$	−6.71956	+	1.81942i	−0.416730	+	0.112836i
$261$	−14.6421	+	6.21904i	−0.906321	+	0.384949i
$262$	1.27413	−	9.77708i	0.0787157	−	0.604030i
$263$	−0.426605	+	0.738902i	−0.0263056	+	0.0455626i	−0.878879	−	0.477046i	$-0.841708\pi$
$263$	−0.426605	+	0.738902i	−0.0263056	+	0.0455626i	0.852573	+	0.522608i	$0.175041\pi$
$264$	10.2864	+	15.1179i	0.633086	+	0.930440i
$265$	−9.83493	+	17.0346i	−0.604155	+	1.04643i
$266$	6.64635	+	5.39850i	0.407514	+	0.331003i
$267$	14.2662	+	9.44032i	0.873078	+	0.577738i
$268$	−21.1626	+	5.73008i	−1.29271	+	0.350021i
$269$	6.98964	−	4.03547i	0.426166	−	0.246047i	−0.271546	−	0.962425i	$-0.587535\pi$
$269$	6.98964	−	4.03547i	0.426166	−	0.246047i	0.697712	+	0.716378i	$0.254202\pi$
$270$	−17.1876	−	5.55331i	−1.04600	−	0.337964i
$271$	−13.5435	−	7.81935i	−0.822710	−	0.474992i	0.0286401	−	0.999590i	$-0.490882\pi$
$271$	−13.5435	−	7.81935i	−0.822710	−	0.474992i	−0.851350	+	0.524598i	$0.824216\pi$
$272$	−8.02740	+	14.0740i	−0.486733	+	0.853361i
$273$	0.582966	−	6.46316i	0.0352827	−	0.391168i
$274$	7.90885	+	19.0230i	0.477791	+	1.14922i
$275$	1.94410	+	3.36728i	0.117234	+	0.203054i
$276$	−9.36135	+	8.32800i	−0.563487	+	0.501287i
$277$	10.1234	−	17.5343i	0.608259	−	1.05353i	−0.383269	−	0.923637i	$-0.625202\pi$
$277$	10.1234	−	17.5343i	0.608259	−	1.05353i	0.991527	−	0.129898i	$-0.0414650\pi$
$278$	−7.08332	−	17.0374i	−0.424829	−	1.02183i
$279$	2.27031	−	18.5243i	0.135920	−	1.10902i
$280$	10.8286	+	14.8687i	0.647132	+	0.888573i
$281$	5.50545	−	3.17857i	0.328428	−	0.189618i	−0.326715	−	0.945123i	$-0.605942\pi$
$281$	5.50545	−	3.17857i	0.328428	−	0.189618i	0.655143	+	0.755505i	$0.272608\pi$
$282$	16.0650	+	13.9250i	0.956658	+	0.829222i
$283$			10.2267i			0.607915i	0.952686	+	0.303958i	$0.0983081\pi$
$283$			10.2267i			0.607915i	−0.952686	+	0.303958i	$0.901692\pi$
$284$	−1.05528	−	3.89743i	−0.0626196	−	0.231270i
$285$	−9.72463	−	0.593697i	−0.576038	−	0.0351676i
$286$	0.965956	−	7.41232i	0.0571182	−	0.438300i
$287$	−23.4318	−	0.679237i	−1.38313	−	0.0400941i
$288$	−16.4585	−	4.13752i	−0.969824	−	0.243805i
$289$	−0.296366	+	0.513321i	−0.0174333	+	0.0301954i
$290$	−17.0204	+	7.07627i	−0.999473	+	0.415533i
$291$	−10.0864	−	20.2246i	−0.591276	−	1.18559i
$292$	−1.33816	+	1.34520i	−0.0783097	+	0.0787219i
$293$	20.6599	+	11.9280i	1.20696	+	0.696840i	0.962094	−	0.272716i	$-0.0879221\pi$
$293$	20.6599	+	11.9280i	1.20696	+	0.696840i	0.244868	+	0.969556i	$0.421255\pi$
$294$	−16.5018	+	4.65733i	−0.962404	+	0.271621i
$295$	7.48009	−	4.31863i	0.435507	−	0.251440i
$296$	8.21670	+	10.6214i	0.477586	+	0.617354i
$297$	12.5909	−	14.7521i	0.730600	−	0.856002i
$298$	31.1656	+	4.06143i	1.80538	+	0.235272i
$299$	5.12201			0.296214
$300$	−3.42523	−	1.13565i	−0.197756	−	0.0655670i
$301$	16.9241	−	27.4449i	0.975490	−	1.58190i
$302$	1.22540	+	2.94742i	0.0705136	+	0.169605i
$303$	−7.91738	−	5.23913i	−0.454842	−	0.300980i
$304$	−9.15366	+	0.0480543i	−0.524998	+	0.00275610i
$305$	−22.2783	+	12.8624i	−1.27565	+	0.736498i
$306$	16.6444	+	4.27728i	0.951496	+	0.244516i
$307$		−	6.44982i		−	0.368111i	−0.982916	−	0.184055i	$-0.941077\pi$
$307$		−	6.44982i		−	0.368111i	0.982916	−	0.184055i	$-0.0589226\pi$
$308$	−19.2057	+	4.60733i	−1.09435	+	0.262527i
$309$	−25.4912	+	12.7130i	−1.45014	+	0.723217i
$310$	2.79447	−	21.4436i	0.158716	−	1.21791i
$311$	−0.506148			−0.0287010			−0.0143505	−	0.999897i	$-0.504568\pi$
$311$	−0.506148			−0.0287010			−0.0143505	+	0.999897i	$0.504568\pi$
$312$	3.90263	+	5.73566i	0.220943	+	0.324718i
$313$	25.3829			1.43472			0.717362	−	0.696700i	$-0.245349\pi$
$313$	25.3829			1.43472			0.717362	+	0.696700i	$0.245349\pi$
$314$	−2.49734	−	1.91107i	−0.140933	−	0.107848i
$315$	12.1844	−	15.2371i	0.686511	−	0.858513i
$316$	−7.79279	+	2.11001i	−0.438379	+	0.118697i
$317$		−	24.0636i		−	1.35155i	−0.737109	−	0.675774i	$-0.763809\pi$
$317$		−	24.0636i		−	1.35155i	0.737109	−	0.675774i	$-0.236191\pi$
$318$	19.2470	+	3.71281i	1.07932	+	0.208204i
$319$		−	19.7924i		−	1.10816i
$320$	−19.0334	−	4.93967i	−1.06400	−	0.276136i
$321$	8.37300	−	12.6533i	0.467335	−	0.706238i
$322$	−4.83117	−	12.6418i	−0.269231	−	0.704500i
$323$	9.26955			0.515772
$324$	0.369401	+	17.9962i	0.0205223	+	0.999789i
$325$	0.737584	+	1.27753i	0.0409138	+	0.0708647i
$326$	0.300895	+	0.723737i	0.0166650	+	0.0400841i
$327$	9.01648	+	18.0792i	0.498612	+	0.999783i
$328$	19.8213	−	15.3338i	1.09445	−	0.846668i
$329$	−20.2113	+	10.9007i	−1.11429	+	0.600975i
$330$	14.7193	−	16.9814i	0.810272	−	0.934796i
$331$			6.70550i			0.368568i	0.982873	+	0.184284i	$0.0589965\pi$
$331$			6.70550i			0.368568i	−0.982873	+	0.184284i	$0.941003\pi$
$332$	−0.316944	+	0.318613i	−0.0173946	+	0.0174861i
$333$	8.56923	−	11.3770i	0.469591	−	0.623457i
$334$	15.1192	−	6.28585i	0.827287	−	0.343946i
$335$	13.4726	+	23.3353i	0.736089	+	1.27494i
$336$	10.4753	−	15.0422i	0.571477	−	0.820618i
$337$	−15.3334	+	26.5582i	−0.835263	+	1.44672i	0.0585525	+	0.998284i	$0.481351\pi$
$337$	−15.3334	+	26.5582i	−0.835263	+	1.44672i	−0.893816	+	0.448434i	$0.851982\pi$
$338$	−2.00929	+	15.4184i	−0.109291	+	0.838651i
$339$	13.9424	+	9.22602i	0.757246	+	0.501089i
$340$	19.2476	+	5.10326i	1.04385	+	0.276763i
$341$	20.1090	+	11.6100i	1.08897	+	0.628715i
$342$	2.60899	+	9.35194i	0.141078	+	0.505695i
$343$	1.60811	−	18.4503i	0.0868298	−	0.996223i
$344$	4.63373	+	34.1569i	0.249834	+	1.84162i
$345$	12.8418	+	8.49773i	0.691378	+	0.457502i
$346$	−9.16172	+	11.9723i	−0.492537	+	0.643634i
$347$	−9.03400			−0.484971			−0.242485	−	0.970155i	$-0.577963\pi$
$347$	−9.03400			−0.484971			−0.242485	+	0.970155i	$0.577963\pi$
$348$	12.2093	+	13.7243i	0.654487	+	0.735697i
$349$	10.9004	+	18.8800i	0.583485	+	1.01063i	0.995062	+	0.0992507i	$0.0316446\pi$
$349$	10.9004	+	18.8800i	0.583485	+	1.01063i	−0.411578	+	0.911375i	$0.635022\pi$
$350$	2.45742	−	3.02545i	0.131355	−	0.161717i
$351$	4.77695	−	5.59688i	0.254975	−	0.298739i
$352$	12.7434	−	16.8351i	0.679224	−	0.897313i
$353$	−10.3246	−	5.96092i	−0.549524	−	0.317268i	0.199406	−	0.979917i	$-0.436099\pi$
$353$	−10.3246	−	5.96092i	−0.549524	−	0.317268i	−0.748930	+	0.662649i	$0.769432\pi$
$354$	−6.50412	−	5.63770i	−0.345690	−	0.299641i
$355$	−4.29756	+	2.48120i	−0.228091	+	0.131688i
$356$	5.06243	−	19.0936i	0.268308	−	1.01196i
$357$	−10.6876	+	15.1765i	−0.565650	+	0.803227i
$358$	−3.87240	+	29.7151i	−0.204663	+	1.57049i
$359$	−5.13759	+	8.89857i	−0.271152	+	0.469649i	−0.969157	−	0.246444i	$-0.920738\pi$
$359$	−5.13759	+	8.89857i	−0.271152	+	0.469649i	0.698005	+	0.716093i	$0.254071\pi$
$360$	0.268767	+	20.8550i	0.0141653	+	1.09915i
$361$	−6.88151	−	11.9191i	−0.362185	−	0.627322i
$362$	−18.6310	−	14.2572i	−0.979223	−	0.749344i
$363$	2.26621	+	4.54405i	0.118945	+	0.238501i
$364$	−7.28657	+	1.74800i	−0.381920	+	0.0916202i
$365$	2.01951	+	1.16596i	0.105706	+	0.0610293i
$366$	19.3715	+	16.7910i	1.01257	+	0.877682i
$367$	23.7626	+	13.7194i	1.24040	+	0.716145i	0.969176	−	0.246371i	$-0.0792382\pi$
$367$	23.7626	+	13.7194i	1.24040	+	0.716145i	0.271224	+	0.962516i	$0.412572\pi$
$368$	12.5674	+	7.16808i	0.655120	+	0.373662i
$369$	−21.2315	−	15.9917i	−1.10527	−	0.832494i
$370$	10.0296	−	13.1064i	0.521415	−	0.681371i
$371$	−11.1131	+	18.0214i	−0.576961	+	0.935625i
$372$	−21.1057	+	4.35417i	−1.09428	+	0.225753i
$373$	2.53260	+	4.38660i	0.131133	+	0.227129i	0.924114	−	0.382118i	$-0.124805\pi$
$373$	2.53260	+	4.38660i	0.131133	+	0.227129i	−0.792980	+	0.609247i	$0.791472\pi$
$374$	−12.9939	+	16.9800i	−0.671896	+	0.878016i
$375$	1.02691	−	16.8206i	0.0530293	−	0.868610i
$376$	9.30513	−	22.7172i	0.479876	−	1.17155i
$377$		−	7.50915i		−	0.386741i
$378$	−18.3195	−	6.51108i	−0.942256	−	0.334894i
$379$			1.02589i			0.0526966i	0.999653	+	0.0263483i	$0.00838790\pi$
$379$			1.02589i			0.0526966i	−0.999653	+	0.0263483i	$0.991612\pi$
$380$	2.94021	+	10.8589i	0.150830	+	0.557052i
$381$	−0.0990005	+	1.62161i	−0.00507195	+	0.0830775i
$382$	18.5148	+	14.1683i	0.947300	+	0.724916i
$383$	12.6343	+	21.8833i	0.645584	+	1.11818i	0.984166	+	0.177248i	$0.0567193\pi$
$383$	12.6343	+	21.8833i	0.645584	+	1.11818i	−0.338582	+	0.940937i	$0.609947\pi$
$384$	1.54865	+	19.5346i	0.0790290	+	0.996872i
$385$	11.5225	+	21.3642i	0.587241	+	1.08882i
$386$	26.0232	+	19.9141i	1.32454	+	1.01360i
$387$	33.6512	−	14.2929i	1.71059	−	0.726550i
$388$	−18.4045	+	18.5014i	−0.934347	+	0.939265i
$389$	−8.06115	−	4.65411i	−0.408717	−	0.235973i	0.281522	−	0.959555i	$-0.409161\pi$
$389$	−8.06115	−	4.65411i	−0.408717	−	0.235973i	−0.690238	+	0.723582i	$0.742494\pi$
$390$	5.58445	−	6.44268i	0.282780	−	0.326238i
$391$	−12.6880	−	7.32545i	−0.641662	−	0.370464i
$392$	11.1871	+	16.3355i	0.565035	+	0.825067i
$393$	5.38935	+	10.8063i	0.271857	+	0.545108i
$394$	12.3860	−	16.1857i	0.623998	−	0.815423i
$395$	4.96108	+	8.59284i	0.249619	+	0.432353i
$396$	−20.7882	−	8.33019i	−1.04465	−	0.418608i
$397$	−7.25979	+	12.5743i	−0.364358	+	0.631087i	−0.988673	−	0.150086i	$-0.952045\pi$
$397$	−7.25979	+	12.5743i	−0.364358	+	0.631087i	0.624315	+	0.781173i	$0.285378\pi$
$398$	−3.82928	−	0.499022i	−0.191944	−	0.0250137i
$399$	−10.4446	−	0.942083i	−0.522883	−	0.0471631i
$400$	0.0218745	+	4.16678i	0.00109373	+	0.208339i
$401$	−15.5515	+	8.97868i	−0.776607	+	0.448374i	−0.835226	−	0.549906i	$-0.814663\pi$
$401$	−15.5515	+	8.97868i	−0.776607	+	0.448374i	0.0586197	+	0.998280i	$0.481330\pi$
$402$	17.5877	−	20.2906i	0.877194	−	1.01200i
$403$	7.62929	+	4.40477i	0.380042	+	0.219417i
$404$	−2.80952	+	10.5964i	−0.139779	+	0.527193i
$405$	21.2622	−	6.10710i	1.05653	−	0.303464i
$406$	−18.5336	+	7.08277i	−0.919806	+	0.351512i
$407$	8.86048	+	15.3468i	0.439198	+	0.760713i
$408$	−1.46436	−	19.7896i	−0.0724968	−	0.979733i
$409$	−0.316834			−0.0156664			−0.00783322	−	0.999969i	$-0.502493\pi$
$409$	−0.316834			−0.0156664			−0.00783322	+	0.999969i	$0.502493\pi$
$410$	−24.4589	−	18.7170i	−1.20794	−	0.924367i
$411$	−21.0419	−	13.9239i	−1.03792	−	0.686817i
$412$	23.3193	+	23.1972i	1.14886	+	1.14284i
$413$	8.18279	−	4.41327i	0.402649	−	0.217163i
$414$	3.81940	−	14.8626i	0.187713	−	0.730458i
$415$	0.478323	+	0.276160i	0.0234800	+	0.0135562i
$416$	4.83479	−	6.38717i	0.237045	−	0.313157i
$417$	18.8455	+	12.4706i	0.922869	+	0.610686i
$418$	−11.9784	−	1.56100i	−0.585885	−	0.0763511i
$419$	8.80022	−	15.2424i	0.429919	−	0.744641i	−0.566947	−	0.823754i	$-0.691876\pi$
$419$	8.80022	−	15.2424i	0.429919	−	0.744641i	0.996866	+	0.0791133i	$0.0252089\pi$
$420$	−21.1688	−	7.70632i	−1.03293	−	0.376030i
$421$	−11.4743	−	19.8741i	−0.559224	−	0.968605i	−0.997561	−	0.0697943i	$-0.977766\pi$
$421$	−11.4743	−	19.8741i	−0.559224	−	0.968605i	0.438337	−	0.898811i	$-0.355568\pi$
$422$	−4.96409	−	11.9400i	−0.241648	−	0.581231i
$423$	−25.8448	−	3.16750i	−1.25662	−	0.154009i
$424$	−3.04270	−	22.4288i	−0.147766	−	1.08924i
$425$		−	4.21954i		−	0.204678i
$426$	3.73683	+	3.23905i	0.181050	+	0.156932i
$427$	−24.3712	+	13.1443i	−1.17941	+	0.636096i
$428$	−16.9349	−	4.49008i	−0.818578	−	0.217036i
$429$	4.08584	+	8.19264i	0.197266	+	0.395544i
$430$	39.1172	−	16.2631i	1.88640	−	0.784274i
$431$	11.3929	+	19.7331i	0.548778	+	0.950512i	0.998359	+	0.0572722i	$0.0182403\pi$
$431$	11.3929	+	19.7331i	0.548778	+	0.950512i	−0.449580	+	0.893240i	$0.648426\pi$
$432$	19.5534	−	7.04734i	0.940763	−	0.339065i
$433$	−25.9567			−1.24740			−0.623700	−	0.781664i	$-0.714371\pi$
$433$	−25.9567			−1.24740			−0.623700	+	0.781664i	$0.714371\pi$
$434$	3.67548	−	22.9848i	0.176429	−	1.10330i
$435$	12.4581	−	18.8268i	0.597322	−	0.902674i
$436$	16.4522	−	16.5388i	0.787917	−	0.792064i
$437$		−	8.27726i		−	0.395955i
$438$	0.440165	−	2.28180i	0.0210319	−	0.109028i
$439$			3.92585i			0.187371i	0.995602	+	0.0936854i	$0.0298648\pi$
$439$			3.92585i			0.187371i	−0.995602	+	0.0936854i	$0.970135\pi$
$440$	−24.0130	−	9.83592i	−1.14477	−	0.468909i
$441$	13.5848	−	16.0141i	0.646897	−	0.762577i
$442$	−4.92982	+	6.44215i	−0.234488	+	0.306422i
$443$	11.3376			0.538667			0.269334	−	0.963047i	$-0.413197\pi$
$443$	11.3376			0.538667			0.269334	+	0.963047i	$0.413197\pi$
$444$	−15.6109	−	5.17589i	−0.740862	−	0.245637i
$445$	−24.2767			−1.15083
$446$	−12.5981	−	1.64175i	−0.596538	−	0.0777393i
$447$	−34.4465	+	17.1792i	−1.62927	+	0.812548i
$448$	−20.3246	−	5.90841i	−0.960249	−	0.279146i
$449$		−	15.6718i		−	0.739600i	−0.929111	−	0.369800i	$-0.879426\pi$
$449$		−	15.6718i		−	0.739600i	0.929111	−	0.369800i	$-0.120574\pi$
$450$	4.25704	−	1.18762i	0.200679	−	0.0559851i
$451$	28.6398	−	16.5352i	1.34860	−	0.778613i
$452$	4.94751	−	18.6601i	0.232711	−	0.877699i
$453$	−3.26022	−	2.15737i	−0.153179	−	0.101362i
$454$	−13.5401	+	5.62930i	−0.635466	+	0.264196i
$455$	4.37159	+	8.10550i	0.204943	+	0.379992i
$456$	9.26892	−	6.30672i	0.434057	−	0.295339i
$457$	−17.4854			−0.817934			−0.408967	−	0.912549i	$-0.634111\pi$
$457$	−17.4854			−0.817934			−0.408967	+	0.912549i	$0.634111\pi$
$458$	−0.678009	+	5.20275i	−0.0316813	+	0.243108i
$459$	−19.8379	+	7.03242i	−0.925953	+	0.328245i
$460$	4.55696	−	17.1871i	0.212469	−	0.801354i
$461$	2.17782	−	1.25736i	0.101431	−	0.0585613i	−0.448426	−	0.893820i	$-0.648015\pi$
$461$	2.17782	−	1.25736i	0.101431	−	0.0585613i	0.549857	+	0.835259i	$0.314682\pi$
$462$	16.3667	−	17.8118i	0.761447	−	0.828682i
$463$	−15.3322	−	8.85204i	−0.712547	−	0.411389i	0.0994566	−	0.995042i	$-0.468290\pi$
$463$	−15.3322	−	8.85204i	−0.712547	−	0.411389i	−0.812003	+	0.583653i	$0.801623\pi$
$464$	10.5088	−	18.4245i	0.487859	−	0.855335i
$465$	11.8202	+	23.7010i	0.548148	+	1.09911i
$466$	8.12476	+	19.5423i	0.376372	+	0.905281i
$467$	11.9222	−	20.6498i	0.551693	−	0.955560i	−0.446460	−	0.894804i	$-0.647315\pi$
$467$	11.9222	−	20.6498i	0.551693	−	0.955560i	0.998153	−	0.0607566i	$-0.0193514\pi$
$468$	−7.88695	−	3.16044i	−0.364575	−	0.146091i
$469$	13.7679	+	25.5275i	0.635742	+	1.17875i
$470$	−29.9176	−	3.89879i	−1.38000	−	0.179838i
$471$	3.84425	+	0.234695i	0.177134	+	0.0108142i
$472$	−3.76729	+	9.19731i	−0.173404	+	0.423340i
$473$			45.4879i			2.09153i
$474$	6.47638	−	7.47168i	0.297470	−	0.343186i
$475$	2.06451	−	1.19195i	0.0947264	−	0.0546903i
$476$	20.5500	+	6.09110i	0.941907	+	0.279185i
$477$	−22.0967	+	9.38531i	−1.01174	+	0.429724i
$478$	−17.8765	+	7.43220i	−0.817653	+	0.339941i
$479$	−0.892404	+	1.54569i	−0.0407750	+	0.0706243i	−0.885693	−	0.464272i	$-0.846316\pi$
$479$	−0.892404	+	1.54569i	−0.0407750	+	0.0706243i	0.844918	+	0.534896i	$0.179649\pi$
$480$	22.7184	−	7.99254i	1.03695	−	0.364808i
$481$	3.36163	+	5.82252i	0.153277	+	0.265484i
$482$	−15.3286	+	6.37288i	−0.698197	+	0.290277i
$483$	13.5519	+	9.54354i	0.616633	+	0.434246i
$484$	4.13511	−	4.15688i	0.187960	−	0.188949i
$485$	27.7755	+	16.0362i	1.26122	+	0.728167i
$486$	−12.6785	−	18.0349i	−0.575107	−	0.818078i
$487$	−14.2958	+	8.25366i	−0.647803	+	0.374009i	−0.787614	−	0.616169i	$-0.788684\pi$
$487$	−14.2958	+	8.25366i	−0.647803	+	0.374009i	0.139811	+	0.990178i	$0.455351\pi$
$488$	11.2203	−	27.3928i	0.507919	−	1.24001i
$489$	−0.800546	−	0.529742i	−0.0362019	−	0.0239557i
$490$	15.8821	−	18.4349i	0.717480	−	0.832805i
$491$	−16.6450	+	28.8300i	−0.751179	+	1.30108i	0.196072	+	0.980589i	$0.437181\pi$
$491$	−16.6450	+	28.8300i	−0.751179	+	1.30108i	−0.947252	+	0.320491i	$0.896152\pi$
$492$	−9.65912	+	29.1327i	−0.435467	+	1.31341i
$493$	−10.7395	+	18.6014i	−0.483683	+	0.837764i
$494$	−4.54458	−	0.592238i	−0.204470	−	0.0266460i
$495$	−3.34818	+	27.3190i	−0.150489	+	1.22790i
$496$	12.5549	+	21.4845i	0.563733	+	0.964683i
$497$	−4.70129	+	2.53557i	−0.210882	+	0.113736i
$498$	0.104254	−	0.540447i	0.00467173	−	0.0242180i
$499$	24.1980	−	13.9707i	1.08325	−	0.625417i	0.151481	−	0.988460i	$-0.451596\pi$
$499$	24.1980	−	13.9707i	1.08325	−	0.625417i	0.931772	+	0.363044i	$0.118262\pi$
$500$	−18.7825	+	5.08564i	−0.839981	+	0.227437i
$501$	−11.0666	+	16.7238i	−0.494417	+	0.747164i
$502$	−19.8189	−	15.1663i	−0.884560	−	0.676905i
$503$	−1.00731			−0.0449138			−0.0224569	−	0.999748i	$-0.507149\pi$
$503$	−1.00731			−0.0449138			−0.0224569	+	0.999748i	$0.507149\pi$
$504$	−0.361273	+	22.4470i	−0.0160924	+	0.999871i
$505$	13.4729			0.599538
$506$	15.1623	+	11.6029i	0.674048	+	0.515811i
$507$	−8.49898	−	17.0416i	−0.377453	−	0.756842i
$508$	1.81076	−	0.490288i	0.0803393	−	0.0217530i
$509$	−4.63448	+	2.67572i	−0.205420	+	0.118599i	−0.599181	−	0.800614i	$-0.704507\pi$
$509$	−4.63448	+	2.67572i	−0.205420	+	0.118599i	0.393761	+	0.919213i	$0.371174\pi$
$510$	−23.0478	+	7.97273i	−1.02058	+	0.353039i
$511$	2.13650	+	1.31749i	0.0945130	+	0.0582823i
$512$	20.8013	−	8.90545i	0.919295	−	0.393569i
$513$	−9.04465	−	7.71964i	−0.399331	−	0.340830i
$514$	20.9240	+	2.72676i	0.922916	+	0.120272i
$515$	20.2122	−	35.0085i	0.890654	−	1.54266i
$516$	−28.0601	−	31.5418i	−1.23528	−	1.38855i
$517$	16.1980	−	28.0557i	0.712386	−	1.23389i
$518$	11.2000	−	13.7889i	0.492100	−	0.605848i
$519$	1.12513	−	18.4294i	0.0493878	−	0.808962i
$520$	−9.11044	−	3.73171i	−0.399519	−	0.163646i
$521$	0.0326842	−	0.0188702i	0.00143192	−	0.000826719i	−0.499284	−	0.866438i	$-0.666404\pi$
$521$	0.0326842	−	0.0188702i	0.00143192	−	0.000826719i	0.500716	+	0.865612i	$0.333070\pi$
$522$	−21.7894	−	5.59946i	−0.953698	−	0.245082i
$523$	22.6882	+	13.0990i	0.992086	+	0.572781i	0.905897	−	0.423498i	$-0.139198\pi$
$523$	22.6882	+	13.0990i	0.992086	+	0.572781i	0.0861890	+	0.996279i	$0.472531\pi$
$524$	9.83384	−	9.88560i	0.429593	−	0.431854i
$525$	−0.428840	+	4.75441i	−0.0187161	+	0.207500i
$526$	−1.11417	+	0.463217i	−0.0485799	+	0.0201972i
$527$	−12.5993	−	21.8227i	−0.548835	−	0.950610i
$528$	−1.44029	+	25.8195i	−0.0626807	+	1.12365i
$529$	4.95873	−	8.58878i	0.215597	−	0.373425i
$530$	−25.6859	+	10.6790i	−1.11573	+	0.463865i
$531$	10.4636	+	1.28240i	0.454080	+	0.0556514i
$532$	2.82480	+	11.7752i	0.122471	+	0.510521i
$533$	10.8658	−	6.27340i	0.470652	−	0.271731i
$534$	7.90895	+	22.8635i	0.342254	+	0.989398i
$535$			21.5320i			0.930909i
$536$	−28.6924	−	11.7527i	−1.23932	−	0.507637i
$537$	−16.3796	−	32.8433i	−0.706834	−	1.41729i
$538$	11.3183	+	1.47498i	0.487968	+	0.0635908i
$539$	11.7311	+	23.3459i	0.505296	+	1.00558i
$540$	−14.5306	−	21.0087i	−0.625298	−	0.904071i
$541$	3.71877	−	6.44110i	0.159882	−	0.276925i	−0.774944	−	0.632030i	$-0.782222\pi$
$541$	3.71877	−	6.44110i	0.159882	−	0.276925i	0.934826	+	0.355106i	$0.115555\pi$
$542$	−8.49042	−	20.4218i	−0.364695	−	0.877193i
$543$	28.6794	+	1.75090i	1.23075	+	0.0751383i
$544$	−21.1114	+	8.90738i	−0.905144	+	0.381901i
$545$	−24.8292	−	14.3351i	−1.06357	−	0.614050i
$546$	6.20946	−	6.75774i	0.265740	−	0.289205i
$547$	−1.62692	+	0.939303i	−0.0695621	+	0.0401617i	−0.534378	−	0.845246i	$-0.679454\pi$
$547$	−1.62692	+	0.939303i	−0.0695621	+	0.0401617i	0.464816	+	0.885408i	$0.346121\pi$
$548$	−7.46680	+	28.1620i	−0.318966	+	1.20302i
$549$	−31.1641	−	3.81943i	−1.33005	−	0.163009i
$550$	−0.710574	+	5.45264i	−0.0302990	+	0.232501i
$551$	−12.1349			−0.516965
$552$	−17.6712	+	1.30761i	−0.752136	+	0.0556554i
$553$	5.06980	+	9.40009i	0.215590	+	0.399732i
$554$	26.4394	−	10.9922i	1.12330	−	0.467016i
$555$	−1.23171	+	20.1752i	−0.0522834	+	0.856391i
$556$	6.68741	−	25.2224i	0.283610	−	1.06967i
$557$	−8.36838	+	4.83149i	−0.354580	+	0.204717i	−0.666700	−	0.745326i	$-0.732294\pi$
$557$	−8.36838	+	4.83149i	−0.354580	+	0.204717i	0.312121	+	0.950042i	$0.398961\pi$
$558$	18.4705	−	18.8535i	0.781917	−	0.798132i
$559$			17.2579i			0.729932i
$560$	−0.617231	+	26.0056i	−0.0260828	+	1.09894i
$561$	1.59575	−	26.1380i	0.0673725	−	1.10355i
$562$	8.91498	+	1.16178i	0.376056	+	0.0490067i
$563$	−14.8934			−0.627684			−0.313842	−	0.949475i	$-0.601616\pi$
$563$	−14.8934			−0.627684			−0.313842	+	0.949475i	$0.601616\pi$
$564$	6.07485	+	29.4462i	0.255797	+	1.23991i
$565$	−23.7256			−0.998144
$566$	−8.78930	+	11.4856i	−0.369442	+	0.482777i
$567$	23.0673	−	5.90770i	0.968734	−	0.248100i
$568$	2.16444	−	5.28416i	0.0908177	−	0.221718i
$569$		−	3.81856i		−	0.160082i	−0.996792	−	0.0800412i	$-0.974495\pi$
$569$		−	3.81856i		−	0.160082i	0.996792	−	0.0800412i	$-0.0255052\pi$
$570$	−10.4115	−	9.02457i	−0.436089	−	0.377998i
$571$			4.52811i			0.189496i	0.995501	+	0.0947478i	$0.0302045\pi$
$571$			4.52811i			0.189496i	−0.995501	+	0.0947478i	$0.969796\pi$
$572$	7.45535	−	7.49459i	0.311724	−	0.313365i
$573$	−28.5006	−	1.73998i	−1.19063	−	0.0726888i
$574$	−25.7324	−	20.9012i	−1.07405	−	0.872398i
$575$	−3.76784			−0.157130
$576$	−14.9285	−	18.7920i	−0.622022	−	0.783000i
$577$	11.9152	+	20.6378i	0.496038	+	0.859162i	0.999990	−	0.00456937i	$-0.00145448\pi$
$577$	11.9152	+	20.6378i	0.496038	+	0.859162i	−0.503952	+	0.863732i	$0.668121\pi$
$578$	−0.774020	+	0.321801i	−0.0321950	+	0.0133851i
$579$	−40.0585	−	2.44560i	−1.66477	−	0.101636i
$580$	−25.1973	−	6.68076i	−1.04626	−	0.277403i
$581$	0.506032	+	0.312049i	0.0209938	+	0.0129460i
$582$	6.05387	−	31.3830i	0.250941	−	1.30087i
$583$		−	29.8692i		−	1.23705i
$584$	−2.65901	+	0.360721i	−0.110031	+	0.0149268i
$585$	−1.27029	+	10.3647i	−0.0525198	+	0.428529i
$586$	12.9516	+	31.1523i	0.535028	+	1.28689i
$587$	−8.04599	−	13.9361i	−0.332094	−	0.575203i	0.650829	−	0.759225i	$-0.274422\pi$
$587$	−8.04599	−	13.9361i	−0.332094	−	0.575203i	−0.982922	+	0.184022i	$0.941088\pi$
$588$	−22.5359	−	8.95175i	−0.929364	−	0.369164i
$589$	7.11819	−	12.3291i	0.293300	−	0.508010i
$590$	12.1125	+	1.57847i	0.498664	+	0.0649847i
$591$	−1.52110	+	24.9153i	−0.0625696	+	1.02488i
$592$	0.0996960	+	18.9907i	0.00409748	+	0.780511i
$593$	21.5747	+	12.4561i	0.885966	+	0.511513i	0.872621	−	0.488398i	$-0.162419\pi$
$593$	21.5747	+	12.4561i	0.885966	+	0.511513i	0.0133450	+	0.999911i	$0.495752\pi$
$594$	26.8195	−	5.74683i	1.10042	−	0.235795i
$595$	0.763275	−	26.3308i	0.0312912	−	1.07946i
$596$	31.5116	+	31.3466i	1.29076	+	1.28401i
$597$	4.23240	−	2.11078i	0.173220	−	0.0863886i
$598$	5.75253	+	4.40209i	0.235238	+	0.180015i
$599$	10.4068			0.425210			0.212605	−	0.977138i	$-0.431805\pi$
$599$	10.4068			0.425210			0.212605	+	0.977138i	$0.431805\pi$
$600$	−2.87084	−	4.21925i	−0.117202	−	0.172250i
$601$	−19.7275	−	34.1690i	−0.804701	−	1.39378i	−0.916493	−	0.400052i	$-0.868992\pi$
$601$	−19.7275	−	34.1690i	−0.804701	−	1.39378i	0.111791	−	0.993732i	$-0.464341\pi$
$602$	42.5949	−	16.2780i	1.73604	−	0.663441i
$603$	−4.00064	+	32.6427i	−0.162919	+	1.32931i
$604$	−1.15690	+	4.36341i	−0.0470738	+	0.177545i
$605$	−6.24060	−	3.60301i	−0.253716	−	0.146483i
$606$	−4.38926	−	12.6886i	−0.178302	−	0.515440i
$607$	8.95952	−	5.17278i	0.363656	−	0.209957i	−0.307027	−	0.951701i	$-0.599334\pi$
$607$	8.95952	−	5.17278i	0.363656	−	0.209957i	0.670683	+	0.741744i	$0.266001\pi$
$608$	−10.3218	−	7.81310i	−0.418603	−	0.316863i
$609$	13.9914	−	19.8678i	0.566959	−	0.805085i
$610$	−36.0753	−	4.70124i	−1.46064	−	0.190348i
$611$	6.14545	−	10.6442i	0.248618	−	0.430620i
$612$	15.0172	+	19.1088i	0.607035	+	0.772426i
$613$	−18.1531	−	31.4421i	−0.733196	−	1.26993i	−0.955510	−	0.294958i	$-0.904694\pi$
$613$	−18.1531	−	31.4421i	−0.733196	−	1.26993i	0.222314	−	0.974975i	$-0.428639\pi$
$614$	5.54327	−	7.24379i	0.223708	−	0.292336i
$615$	37.6505	+	2.29860i	1.51822	+	0.0926883i
$616$	−25.5297	−	11.3318i	−1.02862	−	0.456570i
$617$	−5.74103	−	3.31459i	−0.231125	−	0.133440i	0.379966	−	0.925001i	$-0.375936\pi$
$617$	−5.74103	−	3.31459i	−0.231125	−	0.133440i	−0.611091	+	0.791560i	$0.709269\pi$
$618$	−39.5553	−	7.63034i	−1.59115	−	0.306937i
$619$	−33.2288	−	19.1847i	−1.33558	−	0.771097i	−0.349431	−	0.936962i	$-0.613625\pi$
$619$	−33.2288	−	19.1847i	−1.33558	−	0.771097i	−0.986148	+	0.165865i	$0.946958\pi$
$620$	21.5681	−	21.6816i	0.866194	−	0.870753i
$621$	6.27961	+	17.7143i	0.251992	+	0.710849i
$622$	−0.568455	−	0.435007i	−0.0227930	−	0.0174422i
$623$	−26.1202	−	0.757169i	−1.04648	−	0.0303353i
$624$	−0.546442	+	9.79581i	−0.0218752	+	0.392146i
$625$	14.5617	+	25.2216i	0.582468	+	1.00886i
$626$	28.5075	+	21.8152i	1.13939	+	0.871911i
$627$	13.2394	−	6.60279i	0.528733	−	0.263690i
$628$	−1.16230	−	4.29265i	−0.0463807	−	0.171295i
$629$		−	19.2311i		−	0.766794i
$630$	26.7797	−	6.64097i	1.06693	−	0.264583i
$631$			24.9683i			0.993973i	0.867758	+	0.496986i	$0.165560\pi$
$631$			24.9683i			0.993973i	−0.867758	+	0.496986i	$0.834440\pi$
$632$	−10.5655	−	4.32772i	−0.420274	−	0.172148i
$633$	13.2072	+	8.73954i	0.524939	+	0.347365i
$634$	20.6814	−	27.0259i	0.821363	−	1.07333i
$635$	−1.15277	−	1.99666i	−0.0457463	−	0.0792350i
$636$	18.4254	+	20.7116i	0.730613	+	0.821269i
$637$	4.45075	+	8.85735i	0.176345	+	0.350941i
$638$	17.0105	−	22.2288i	0.673451	−	0.880047i
$639$	−6.01167	−	0.736781i	−0.237818	−	0.0291466i
$640$	−17.1310	−	21.9059i	−0.677162	−	0.865906i
$641$	−6.56452	−	3.79003i	−0.259283	−	0.149697i	0.364724	−	0.931116i	$-0.381163\pi$
$641$	−6.56452	−	3.79003i	−0.259283	−	0.149697i	−0.624007	+	0.781418i	$0.714497\pi$
$642$	20.2785	−	7.01477i	0.800330	−	0.276851i
$643$	29.8134	+	17.2128i	1.17573	+	0.678806i	0.955022	−	0.296535i	$-0.0958310\pi$
$643$	29.8134	+	17.2128i	1.17573	+	0.678806i	0.220705	+	0.975341i	$0.429164\pi$
$644$	5.43905	−	18.3501i	0.214329	−	0.723097i
$645$	−28.6319	+	43.2686i	−1.12738	+	1.70370i
$646$	10.4106	+	7.96667i	0.409601	+	0.313445i
$647$	−18.3282	−	31.7454i	−0.720557	−	1.24804i	−0.960777	−	0.277323i	$-0.910553\pi$
$647$	−18.3282	−	31.7454i	−0.720557	−	1.24804i	0.240220	−	0.970719i	$-0.422780\pi$
$648$	−15.0519	+	20.5290i	−0.591294	+	0.806456i
$649$	−6.55794	+	11.3587i	−0.257422	+	0.445868i
$650$	−0.269589	+	2.06871i	−0.0105742	+	0.0811414i
$651$	11.9786	+	25.8694i	0.469476	+	1.01390i
$652$	−0.284077	+	1.07143i	−0.0111253	+	0.0419605i
$653$	12.7716	−	7.37370i	0.499792	−	0.288555i	−0.228836	−	0.973465i	$-0.573492\pi$
$653$	12.7716	−	7.37370i	0.499792	−	0.288555i	0.728628	+	0.684910i	$0.240159\pi$
$654$	−5.41169	+	28.0539i	−0.211614	+	1.09700i
$655$	−14.8409	−	8.56842i	−0.579884	−	0.334796i
$656$	35.4399	−	0.186050i	1.38370	−	0.00726404i
$657$	1.11266	+	2.61964i	0.0434089	+	0.102202i
$658$	−32.0679	−	5.12796i	−1.25014	−	0.199909i
$659$	−14.0724	−	24.3742i	−0.548184	−	0.949483i	−0.998399	−	0.0565626i	$-0.981986\pi$
$659$	−14.0724	−	24.3742i	−0.548184	−	0.949483i	0.450215	−	0.892920i	$-0.351347\pi$
$660$	31.1259	−	6.42137i	1.21157	−	0.249952i
$661$	1.04116			0.0404965			0.0202483	−	0.999795i	$-0.493554\pi$
$661$	1.04116			0.0404965			0.0202483	+	0.999795i	$0.493554\pi$
$662$	−5.76301	+	7.53094i	−0.223986	+	0.292698i
$663$	0.605420	−	9.91666i	0.0235126	−	0.385131i
$664$	−0.629790	+	0.0854374i	−0.0244406	+	0.00331562i
$665$	13.0986	−	7.06456i	0.507943	−	0.273952i
$666$	19.4020	−	5.41275i	0.751813	−	0.209740i
$667$	16.6101	+	9.58986i	0.643147	+	0.371321i
$668$	22.3827	+	5.93451i	0.866014	+	0.229613i
$669$	13.9243	−	6.94436i	0.538346	−	0.268484i
$670$	−4.92429	+	37.7868i	−0.190242	+	1.45983i
$671$	19.5318	−	33.8301i	0.754018	−	1.30600i
$672$	24.6928	−	7.89090i	0.952545	−	0.304398i
$673$	6.14987	+	10.6519i	0.237060	+	0.410600i	0.959869	−	0.280448i	$-0.0904829\pi$
$673$	6.14987	+	10.6519i	0.237060	+	0.410600i	−0.722809	+	0.691047i	$0.757150\pi$
$674$	−40.0463	+	16.6493i	−1.54253	+	0.641308i
$675$	−3.51401	+	4.11716i	−0.135254	+	0.158470i
$676$	−15.5079	+	15.5896i	−0.596459	+	0.599598i
$677$		−	9.34125i		−	0.359013i	−0.983757	−	0.179507i	$-0.942550\pi$
$677$		−	9.34125i		−	0.359013i	0.983757	−	0.179507i	$-0.0574502\pi$
$678$	7.72942	+	22.3444i	0.296846	+	0.858133i
$679$	29.3846	+	18.1202i	1.12768	+	0.695391i
$680$	17.2310	+	22.2737i	0.660777	+	0.854157i
$681$	9.91068	−	14.9770i	0.379778	−	0.573921i
$682$	12.6063	+	30.3218i	0.482722	+	1.16108i
$683$	−10.8870	−	18.8568i	−0.416578	−	0.721535i	0.579014	−	0.815317i	$-0.303437\pi$
$683$	−10.8870	−	18.8568i	−0.416578	−	0.721535i	−0.995593	+	0.0937826i	$0.970104\pi$
$684$	−5.10733	+	12.7455i	−0.195284	+	0.487335i
$685$	35.8068			1.36811
$686$	17.6631	−	19.3395i	0.674380	−	0.738384i
$687$	−2.86787	−	5.75045i	−0.109416	−	0.219393i
$688$	−24.1519	+	42.3441i	−0.920782	+	1.61435i
$689$		−	11.3322i		−	0.431724i
$690$	7.11926	+	20.5806i	0.271026	+	0.783490i
$691$			24.4555i			0.930329i	0.885224	+	0.465165i	$0.154005\pi$
$691$			24.4555i			0.930329i	−0.885224	+	0.465165i	$0.845995\pi$
$692$	−20.5791	+	5.57208i	−0.782298	+	0.211819i
$693$	−4.45448	+	29.2891i	−0.169212	+	1.11260i
$694$	−10.1461	−	7.76423i	−0.385140	−	0.294726i
$695$	−32.0692			−1.21646
$696$	1.91702	+	25.9069i	0.0726645	+	0.982000i
$697$	−35.8886			−1.35938
$698$	−3.98413	+	30.5725i	−0.150802	+	1.15719i
$699$	−21.6163	−	14.3041i	−0.817604	−	0.541029i
$700$	5.36013	−	1.28586i	0.202594	−	0.0486010i
$701$			10.4921i			0.396279i	0.980174	+	0.198140i	$0.0634900\pi$
$701$			10.4921i			0.396279i	−0.980174	+	0.198140i	$0.936510\pi$
$702$	10.1752	−	2.18032i	0.384038	−	0.0822910i
$703$	9.40929	−	5.43246i	0.354878	−	0.204889i
$704$	28.7809	−	7.95525i	1.08472	−	0.299825i
$705$	33.0672	−	16.4913i	1.24538	−	0.621097i
$706$	−6.47249	−	15.5682i	−0.243596	−	0.585915i
$707$	14.4960	+	0.420209i	0.545179	+	0.0158036i
$708$	−2.45947	−	11.9216i	−0.0924327	−	0.448043i
$709$	6.69447			0.251416			0.125708	−	0.992067i	$-0.459880\pi$
$709$	6.69447			0.251416			0.125708	+	0.992067i	$0.459880\pi$
$710$	−6.95904	−	0.906885i	−0.261168	−	0.0340348i
$711$	−1.47317	+	12.0202i	−0.0552482	+	0.450791i
$712$	22.0955	−	17.0931i	0.828064	−	0.640591i
$713$	−19.4866	+	11.2506i	−0.729778	+	0.421338i
$714$	−25.0467	+	7.85931i	−0.937349	+	0.294127i
$715$	−11.2514	−	6.49600i	−0.420779	−	0.242937i
$716$	−29.8876	+	30.0449i	−1.11695	+	1.12283i
$717$	13.0848	−	19.7737i	0.488660	−	0.738464i
$718$	−13.4179	+	5.57851i	−0.500750	+	0.208188i
$719$	−8.66863	+	15.0145i	−0.323285	+	0.559947i	−0.981164	−	0.193177i	$-0.938121\pi$
$719$	−8.66863	+	15.0145i	−0.323285	+	0.559947i	0.657879	+	0.753124i	$0.271454\pi$
$720$	−17.6219	+	23.6532i	−0.656729	+	0.881504i
$721$	22.8389	−	37.0365i	0.850565	−	1.37931i
$722$	2.51521	−	19.3006i	0.0936065	−	0.718296i
$723$	11.2198	−	16.9554i	0.417268	−	0.630576i
$724$	−8.67113	−	32.0246i	−0.322260	−	1.19019i
$725$			5.52386i			0.205151i
$726$	−1.36018	+	7.05111i	−0.0504810	+	0.261691i
$727$	18.0236	−	10.4059i	0.668458	−	0.385934i	−0.127034	−	0.991898i	$-0.540546\pi$
$727$	18.0236	−	10.4059i	0.668458	−	0.385934i	0.795492	+	0.605964i	$0.207213\pi$
$728$	−9.68586	−	4.29923i	−0.358982	−	0.159340i
$729$	25.2131	+	9.65908i	0.933820	+	0.357744i
$730$	1.26603	+	3.04515i	0.0468577	+	0.112706i
$731$	24.6821	−	42.7507i	0.912900	−	1.58119i
$732$	7.32517	+	35.5068i	0.270746	+	1.31237i
$733$	−0.847870	−	1.46855i	−0.0313168	−	0.0542423i	0.849942	−	0.526876i	$-0.176637\pi$
$733$	−0.847870	−	1.46855i	−0.0313168	−	0.0542423i	−0.881259	+	0.472634i	$0.843303\pi$
$734$	14.8968	+	35.8309i	0.549850	+	1.32254i
$735$	−3.53609	+	29.5910i	−0.130430	+	1.09148i
$736$	7.95386	+	18.8515i	0.293183	+	0.694874i
$737$	−35.4352	−	20.4585i	−1.30527	−	0.753599i
$738$	−10.1011	−	36.2076i	−0.371828	−	1.33282i
$739$	−42.4863	+	24.5295i	−1.56288	+	0.902331i	−0.565920	+	0.824460i	$0.691479\pi$
$739$	−42.4863	+	24.5295i	−1.56288	+	0.902331i	−0.996963	+	0.0778716i	$0.975188\pi$
$740$	22.5285	−	6.09992i	0.828165	−	0.224238i
$741$	5.02299	−	2.50507i	0.184524	−	0.0920261i
$742$	−27.9695	+	10.6888i	−1.02679	+	0.392397i
$743$	13.4749	−	23.3392i	0.494346	−	0.856232i	−0.505633	−	0.862749i	$-0.668741\pi$
$743$	13.4749	−	23.3392i	0.494346	−	0.856232i	0.999979	+	0.00651646i	$0.00207427\pi$
$744$	−27.4459	−	13.2490i	−1.00622	−	0.485732i
$745$	27.3129	−	47.3073i	1.00067	−	1.73321i
$746$	−0.925674	+	7.10322i	−0.0338913	+	0.260067i
$747$	0.263535	+	0.620465i	0.00964224	+	0.0227016i
$748$	−29.1868	+	7.90275i	−1.06718	+	0.288953i
$749$	−0.671564	+	23.1671i	−0.0245384	+	0.846506i
$750$	15.6097	−	18.0086i	0.569985	−	0.657581i
$751$	−29.1105	+	16.8069i	−1.06226	+	0.613294i	−0.926056	−	0.377387i	$-0.876823\pi$
$751$	−29.1105	+	16.8069i	−1.06226	+	0.613294i	−0.136201	+	0.990681i	$0.543489\pi$
$752$	29.9747	−	17.5164i	1.09307	−	0.638757i
$753$	30.5080	+	1.86254i	1.11177	+	0.0678747i
$754$	6.45370	−	8.43353i	0.235030	−	0.307131i
$755$	5.54789			0.201908
$756$	−14.9788	−	23.0572i	−0.544773	−	0.838584i
$757$	30.1721			1.09662			0.548312	−	0.836274i	$-0.315271\pi$
$757$	30.1721			1.09662			0.548312	+	0.836274i	$0.315271\pi$
$758$	−0.881700	+	1.15218i	−0.0320248	+	0.0418491i
$759$	−23.3400	−	1.42492i	−0.847187	−	0.0517215i
$760$	−6.03051	+	14.7226i	−0.218749	+	0.534046i
$761$	−13.7774	+	7.95440i	−0.499432	+	0.288347i	−0.728479	−	0.685068i	$-0.759772\pi$
$761$	−13.7774	+	7.95440i	−0.499432	+	0.288347i	0.229047	+	0.973415i	$0.426439\pi$
$762$	−1.50487	+	1.73614i	−0.0545157	+	0.0628938i
$763$	−26.2675	−	16.1981i	−0.950948	−	0.586410i
$764$	8.61706	+	31.8249i	0.311754	+	1.15139i
$765$	17.9702	−	23.8584i	0.649715	−	0.862601i
$766$	−4.61789	+	35.4356i	−0.166851	+	1.28034i
$767$	−2.48806	+	4.30944i	−0.0898386	+	0.155605i
$768$	−15.0497	+	23.2703i	−0.543058	+	0.839695i
$769$	−2.11592	+	3.66489i	−0.0763022	+	0.132159i	−0.901652	−	0.432463i	$-0.857645\pi$
$769$	−2.11592	+	3.66489i	−0.0763022	+	0.132159i	0.825350	+	0.564622i	$0.190978\pi$
$770$	−5.42047	+	33.8971i	−0.195340	+	1.22157i
$771$	−23.1267	+	11.5338i	−0.832887	+	0.415378i
$772$	12.1116	+	44.7310i	0.435904	+	1.60990i
$773$	−24.1708	+	13.9550i	−0.869362	+	0.501927i	−0.867136	−	0.498071i	$-0.834042\pi$
$773$	−24.1708	+	13.9550i	−0.869362	+	0.501927i	−0.00222598	+	0.999998i	$0.500709\pi$
$774$	50.0776	+	12.8690i	1.80000	+	0.462565i
$775$	−5.61224	−	3.24023i	−0.201598	−	0.116392i
$776$	−36.5710	+	4.96123i	−1.31282	+	0.178098i
$777$	−1.95449	+	21.6689i	−0.0701171	+	0.777366i
$778$	−5.05353	−	12.1551i	−0.181178	−	0.435783i
$779$	−10.1379	−	17.5594i	−0.363229	−	0.629131i
$780$	11.8090	−	2.43624i	0.422831	−	0.0872315i
$781$	3.76776	−	6.52595i	0.134821	−	0.233517i
$782$	−7.95412	−	19.1319i	−0.284439	−	0.684155i
$783$	25.9701	−	9.20626i	0.928095	−	0.329005i
$784$	−1.47519	+	27.9611i	−0.0526855	+	0.998611i
$785$	−4.73336	+	2.73281i	−0.168941	+	0.0975380i
$786$	−3.23469	+	16.7685i	−0.115377	+	0.598111i
$787$		−	6.45630i		−	0.230142i	−0.993357	−	0.115071i	$-0.963290\pi$
$787$		−	6.45630i		−	0.230142i	0.993357	−	0.115071i	$-0.0367096\pi$
$788$	27.8214	−	7.53305i	0.991097	−	0.268354i
$789$	0.815517	−	1.23241i	0.0290332	−	0.0438750i
$790$	−1.81329	+	13.9144i	−0.0645140	+	0.495052i
$791$	−25.5272	−	0.739981i	−0.907644	−	0.0263107i
$792$	−16.1879	−	27.2219i	−0.575210	−	0.967289i
$793$	7.41030	−	12.8350i	0.263148	−	0.455785i
$794$	−18.9604	+	7.88283i	−0.672880	+	0.279751i
$795$	18.8009	−	28.4119i	0.666799	−	1.00767i
$796$	−3.87178	−	3.85151i	−0.137232	−	0.136513i
$797$	29.3156	+	16.9254i	1.03841	+	0.599528i	0.919383	−	0.393363i	$-0.128688\pi$
$797$	29.3156	+	16.9254i	1.03841	+	0.599528i	0.119029	+	0.992891i	$0.462022\pi$
$798$	−10.9206	−	10.0346i	−0.386586	−	0.355221i
$799$	−30.4465	+	17.5783i	−1.07712	+	0.621876i
$800$	−3.55655	+	4.69851i	−0.125743	+	0.166117i
$801$	−23.6675	−	17.8265i	−0.836250	−	0.629867i
$802$	−25.1826	−	3.28174i	−0.889229	−	0.115882i
$803$	−3.54109			−0.124962
$804$	37.1914	−	7.67271i	1.31164	−	0.270596i
$805$	−23.5122	−	0.681568i	−0.828695	−	0.0240221i
$806$	4.78280	+	11.5040i	0.168467	+	0.405210i
$807$	−12.5098	+	6.23892i	−0.440367	+	0.219620i
$808$	−12.2624	+	9.48623i	−0.431391	+	0.333725i
$809$	6.11435	−	3.53012i	0.214969	−	0.124112i	−0.388650	−	0.921386i	$-0.627058\pi$
$809$	6.11435	−	3.53012i	0.214969	−	0.124112i	0.603619	+	0.797273i	$0.293725\pi$
$810$	29.1283	+	11.4148i	1.02346	+	0.401076i
$811$			40.7979i			1.43261i	0.697789	+	0.716304i	$0.254167\pi$
$811$			40.7979i			1.43261i	−0.697789	+	0.716304i	$0.745833\pi$
$812$	−26.9023	−	7.97395i	−0.944086	−	0.279831i
$813$	22.5892	+	14.9478i	0.792236	+	0.524243i
$814$	−3.23854	+	24.8511i	−0.113511	+	0.871031i
$815$	1.36228			0.0477187
$816$	15.3635	−	23.4843i	0.537830	−	0.822115i
$817$	27.8891			0.975716
$818$	−0.355836	−	0.272302i	−0.0124415	−	0.00952081i
$819$	−1.69001	+	11.1122i	−0.0590539	+	0.388291i
$820$	−11.3835	−	42.0422i	−0.397530	−	1.46818i
$821$			37.0350i			1.29253i	0.763113	+	0.646265i	$0.223670\pi$
$821$			37.0350i			1.29253i	−0.763113	+	0.646265i	$0.776330\pi$
$822$	−11.6653	−	33.7223i	−0.406873	−	1.17620i
$823$		−	11.7953i		−	0.411158i	−0.978641	−	0.205579i	$-0.934092\pi$
$823$		−	11.7953i		−	0.411158i	0.978641	−	0.205579i	$-0.0659077\pi$
$824$	6.25317	+	46.0944i	0.217839	+	1.60577i
$825$	−3.00562	−	6.02665i	−0.104642	−	0.209821i
$826$	12.9831	+	2.07612i	0.451739	+	0.0722373i
$827$	9.85297			0.342621			0.171311	−	0.985217i	$-0.445200\pi$
$827$	9.85297			0.342621			0.171311	+	0.985217i	$0.445200\pi$
$828$	17.0632	−	13.4097i	0.592987	−	0.466018i
$829$	−6.91019	−	11.9688i	−0.240001	−	0.415693i	0.720713	−	0.693233i	$-0.243814\pi$
$829$	−6.91019	−	11.9688i	−0.240001	−	0.415693i	−0.960714	+	0.277540i	$0.910481\pi$
$830$	0.299860	+	0.721248i	0.0104083	+	0.0250349i
$831$	−19.3524	+	29.2454i	−0.671328	+	1.01451i
$832$	10.9194	−	3.01819i	0.378561	−	0.104637i
$833$	1.64247	−	28.3065i	0.0569083	−	0.980762i
$834$	10.4476	+	30.2024i	0.361772	+	1.04582i
$835$		−	28.4587i		−	0.984855i
$836$	−12.1114	−	12.0480i	−0.418881	−	0.416688i
$837$	−5.88017	+	31.7859i	−0.203249	+	1.09868i
$838$	22.9836	−	9.55546i	0.793954	−	0.330088i
$839$	21.5036	+	37.2454i	0.742388	+	1.28585i	0.951405	+	0.307942i	$0.0996402\pi$
$839$	21.5036	+	37.2454i	0.742388	+	1.28585i	−0.209017	+	0.977912i	$0.567026\pi$
$840$	−17.1515	−	26.8484i	−0.591782	−	0.926356i
$841$	−0.440737	+	0.763379i	−0.0151978	+	0.0263234i
$842$	4.19390	−	32.1822i	0.144531	−	1.10907i
$843$	−9.85349	+	4.91414i	−0.339372	+	0.169252i
$844$	4.68663	−	17.6762i	0.161321	−	0.608440i
$845$	23.4041	+	13.5124i	0.805126	+	0.464840i
$846$	−26.3040	−	25.7696i	−0.904350	−	0.885977i
$847$	−6.60211	−	4.07125i	−0.226851	−	0.139890i
$848$	15.8591	−	27.8048i	0.544604	−	0.954822i
$849$	1.07939	−	17.6803i	0.0370447	−	0.606785i
$850$	3.62646	−	4.73896i	0.124387	−	0.162545i
$851$	−17.1724			−0.588663
$852$	1.41305	+	6.84938i	0.0484103	+	0.234656i
$853$	−27.0808	−	46.9054i	−0.927230	−	1.60601i	−0.787935	−	0.615759i	$-0.788849\pi$
$853$	−27.0808	−	46.9054i	−0.927230	−	1.60601i	−0.139296	−	0.990251i	$-0.544484\pi$
$854$	−38.6681	−	6.18339i	−1.32319	−	0.211591i
$855$	16.7496	+	2.05280i	0.572824	+	0.0702044i
$856$	−15.1606	−	19.5974i	−0.518178	−	0.669825i
$857$	30.3446	+	17.5194i	1.03655	+	0.598453i	0.918854	−	0.394597i	$-0.129116\pi$
$857$	30.3446	+	17.5194i	1.03655	+	0.598453i	0.117696	+	0.993050i	$0.462449\pi$
$858$	−2.45232	+	12.7127i	−0.0837209	+	0.434005i
$859$	28.0725	−	16.2077i	0.957822	−	0.552999i	0.0623198	−	0.998056i	$-0.480150\pi$
$859$	28.0725	−	16.2077i	0.957822	−	0.552999i	0.895502	+	0.445058i	$0.146817\pi$
$860$	57.9097	+	15.3541i	1.97471	+	0.523569i
$861$	40.4379	+	3.64743i	1.37812	+	0.124304i
$862$	−4.16415	+	31.9539i	−0.141832	+	1.08835i
$863$	0.619701	−	1.07335i	0.0210949	−	0.0365374i	−0.855285	−	0.518157i	$-0.826618\pi$
$863$	0.619701	−	1.07335i	0.0210949	−	0.0365374i	0.876380	+	0.481620i	$0.159951\pi$
$864$	28.0172	+	8.89021i	0.953165	+	0.302451i
$865$	13.1011	+	22.6918i	0.445452	+	0.771545i
$866$	−29.1520	−	22.3084i	−0.990624	−	0.758069i
$867$	0.566547	−	0.856166i	0.0192409	−	0.0290769i
$868$	23.8821	−	22.6553i	0.810611	−	0.768972i
$869$	−13.0484	−	7.53352i	−0.442638	−	0.255557i
$870$	30.1723	−	10.4372i	1.02294	−	0.353855i
$871$	−13.4440	−	7.76188i	−0.455532	−	0.263001i
$872$	32.6917	−	4.43495i	1.10708	−	0.150186i
$873$	15.3031	+	36.0295i	0.517931	+	1.21941i
$874$	7.11385	−	9.29619i	0.240630	−	0.314448i
$875$	12.2195	+	22.6565i	0.413094	+	0.765930i
$876$	2.45543	−	2.18439i	0.0829612	−	0.0738036i
$877$	−24.0478	−	41.6520i	−0.812037	−	1.40649i	−0.911436	−	0.411441i	$-0.865025\pi$
$877$	−24.0478	−	41.6520i	−0.812037	−	1.40649i	0.0993995	−	0.995048i	$-0.468308\pi$
$878$	−3.37406	+	4.40913i	−0.113869	+	0.148801i
$879$	−34.4585	−	22.8021i	−1.16226	−	0.769094i
$880$	−18.5156	−	31.6846i	−0.624159	−	1.06809i
$881$			5.79121i			0.195111i	0.995230	+	0.0975554i	$0.0311023\pi$
$881$			5.79121i			0.195111i	−0.995230	+	0.0975554i	$0.968898\pi$
$882$	29.0204	−	6.31003i	0.977168	−	0.212470i
$883$		−	52.6107i		−	1.77049i	−0.465125	−	0.885245i	$-0.653991\pi$
$883$		−	52.6107i		−	1.77049i	0.465125	−	0.885245i	$-0.346009\pi$
$884$	−11.0734	+	2.99827i	−0.372437	+	0.100843i
$885$	−13.3876	+	6.67669i	−0.450020	+	0.224434i
$886$	12.7333	+	9.74408i	0.427784	+	0.327359i
$887$	−23.8466	−	41.3034i	−0.800689	−	1.38683i	−0.919163	−	0.393877i	$-0.871134\pi$
$887$	−23.8466	−	41.3034i	−0.800689	−	1.38683i	0.118474	−	0.992957i	$-0.462200\pi$
$888$	−13.0842	−	19.2298i	−0.439078	−	0.645309i
$889$	−1.17803	−	2.18423i	−0.0395100	−	0.0732568i
$890$	−27.2652	−	20.8645i	−0.913930	−	0.699379i
$891$	−23.3246	+	24.1749i	−0.781405	+	0.809890i
$892$	−12.7379	−	12.6712i	−0.426498	−	0.424265i
$893$	−17.2013	−	9.93116i	−0.575618	−	0.332333i
$894$	−53.4515	−	10.3110i	−1.78769	−	0.344850i
$895$	45.1055	+	26.0417i	1.50771	+	0.870478i
$896$	−17.7486	−	24.1036i	−0.592941	−	0.805246i
$897$	−8.85510	−	0.540611i	−0.295663	−	0.0180505i
$898$	13.4691	−	17.6010i	0.449469	−	0.587354i
$899$	16.4940	+	28.5684i	0.550105	+	0.952810i
$900$	5.80178	+	2.32488i	0.193393	+	0.0774959i
$901$	−16.2073	+	28.0718i	−0.539942	+	0.935207i
$902$	46.3765	+	6.04368i	1.54417	+	0.201232i
$903$	−32.1557	+	45.6613i	−1.07007	+	1.51951i
$904$	21.5939	−	16.7051i	0.718203	−	0.555603i
$905$	−35.3125	+	20.3877i	−1.17383	+	0.677709i
$906$	−1.80741	−	5.22493i	−0.0600473	−	0.173587i
$907$	5.19604	+	2.99994i	0.172532	+	0.0996113i	0.583779	−	0.811913i	$-0.301573\pi$
$907$	5.19604	+	2.99994i	0.172532	+	0.0996113i	−0.411247	+	0.911524i	$0.634907\pi$
$908$	−20.0449	−	5.31466i	−0.665214	−	0.176373i
$909$	13.1348	+	9.89323i	0.435655	+	0.328138i
$910$	−2.05651	+	12.8604i	−0.0681725	+	0.426319i
$911$	−8.56559	−	14.8360i	−0.283791	−	0.491540i	0.688525	−	0.725213i	$-0.258259\pi$
$911$	−8.56559	−	14.8360i	−0.283791	−	0.491540i	−0.972315	+	0.233673i	$0.924925\pi$
$912$	15.8302	+	0.883059i	0.524190	+	0.0292410i
$913$	−0.838712			−0.0277573
$914$	−19.6379	−	15.0278i	−0.649564	−	0.497075i
$915$	39.8730	−	19.8855i	1.31816	−	0.657394i
$916$	−5.23295	+	5.26049i	−0.172901	+	0.173812i
$917$	−15.7007	−	9.68196i	−0.518482	−	0.319726i
$918$	−28.3239	−	9.15146i	−0.934828	−	0.302043i
$919$	7.67873	+	4.43332i	0.253298	+	0.146242i	0.621273	−	0.783594i	$-0.286616\pi$
$919$	7.67873	+	4.43332i	0.253298	+	0.146242i	−0.367975	+	0.929836i	$0.619949\pi$
$920$	19.8893	−	15.3864i	0.655732	−	0.507275i
$921$	−0.680757	+	11.1507i	−0.0224317	+	0.367427i
$922$	3.52654	+	0.459570i	0.116140	+	0.0151351i
$923$	1.42947	−	2.47592i	0.0470517	−	0.0814959i
$924$	33.6897	−	5.93820i	1.10831	−	0.195352i
$925$	−2.47288	−	4.28315i	−0.0813077	−	0.140829i
$926$	−9.61172	−	23.1189i	−0.315861	−	0.759734i
$927$	45.4118	−	19.2881i	1.49152	−	0.633505i
$928$	27.6373	−	11.6608i	0.907238	−	0.382784i
$929$			10.7326i			0.352124i	0.984379	+	0.176062i	$0.0563360\pi$
$929$			10.7326i			0.352124i	−0.984379	+	0.176062i	$0.943664\pi$
$930$	−7.09447	+	36.7774i	−0.232637	+	1.20598i
$931$	14.3136	−	7.19249i	0.469111	−	0.235724i
$932$	−7.67064	+	28.9308i	−0.251260	+	0.947659i
$933$	0.875046	+	0.0534222i	0.0286477	+	0.00174897i
$934$	31.1372	−	12.9454i	1.01884	−	0.423585i
$935$	18.5810	+	32.1833i	0.607665	+	1.05251i
$936$	−6.14161	−	10.3279i	−0.200745	−	0.337578i
$937$	−21.5535			−0.704121			−0.352061	−	0.935977i	$-0.614519\pi$
$937$	−21.5535			−0.704121			−0.352061	+	0.935977i	$0.614519\pi$
$938$	−6.47676	+	40.5027i	−0.211474	+	1.32246i
$939$	−43.8827	−	2.67908i	−1.43206	−	0.0874283i
$940$	−30.2497	−	30.0913i	−0.986637	−	0.981471i
$941$		−	10.1707i		−	0.331554i	−0.986163	−	0.165777i	$-0.946987\pi$
$941$		−	10.1707i		−	0.331554i	0.986163	−	0.165777i	$-0.0530133\pi$
$942$	4.11577	+	3.56751i	0.134099	+	0.116236i
$943$			32.0468i			1.04359i
$944$	−12.1356	+	7.09171i	−0.394981	+	0.230816i
$945$	−22.6730	+	25.0563i	−0.737551	+	0.815083i
$946$	−39.0943	+	51.0874i	−1.27107	+	1.66100i
$947$	−6.23262			−0.202533			−0.101267	−	0.994859i	$-0.532289\pi$
$947$	−6.23262			−0.202533			−0.101267	+	0.994859i	$0.532289\pi$
$948$	13.6951	−	2.82535i	0.444797	−	0.0917632i
$949$	−1.34347			−0.0436110
$950$	3.34307	+	0.435661i	0.108464	+	0.0141347i
$951$	−2.53983	+	41.6020i	−0.0823598	+	1.34904i
$952$	17.8447	+	24.5025i	0.578351	+	0.794131i
$953$		−	24.0752i		−	0.779871i	−0.920842	−	0.389936i	$-0.872497\pi$
$953$		−	24.0752i		−	0.779871i	0.920842	−	0.389936i	$-0.127503\pi$
$954$	−32.8830	−	8.45028i	−1.06463	−	0.273588i
$955$	35.0923	−	20.2605i	1.13556	−	0.655615i
$956$	−26.4647	−	7.01679i	−0.855930	−	0.226939i
$957$	−2.08902	+	34.2177i	−0.0675283	+	1.10610i
$958$	−2.33069	+	0.968990i	−0.0753013	+	0.0313067i
$959$	38.5258	+	1.11678i	1.24406	+	0.0360628i
$960$	32.3841	+	10.5488i	1.04519	+	0.340460i
$961$	−7.70065			−0.248408
$962$	−1.22869	+	9.42841i	−0.0396145	+	0.303984i
$963$	−15.8110	+	20.9917i	−0.509503	+	0.676447i
$964$	−22.6927	−	6.01668i	−0.730881	−	0.193784i
$965$	49.3233	−	28.4768i	1.58777	−	0.916701i
$966$	7.01799	+	22.3655i	0.225800	+	0.719597i
$967$	−1.08046	−	0.623806i	−0.0347454	−	0.0200603i	0.482527	−	0.875881i	$-0.339719\pi$
$967$	−1.08046	−	0.623806i	−0.0347454	−	0.0200603i	−0.517272	+	0.855821i	$0.673052\pi$
$968$	8.21676	−	1.11469i	0.264097	−	0.0358274i
$969$	−16.0255	−	0.978369i	−0.514813	−	0.0314298i
$970$	17.4125	+	41.8818i	0.559080	+	1.34474i
$971$	−7.33316	+	12.7014i	−0.235332	+	0.407608i	−0.959369	−	0.282154i	$-0.908951\pi$
$971$	−7.33316	+	12.7014i	−0.235332	+	0.407608i	0.724037	+	0.689761i	$0.242285\pi$
$972$	1.26081	−	31.1514i	0.0404404	−	0.999182i
$973$	−34.5045	−	1.00021i	−1.10616	−	0.0320653i
$974$	−23.1491	−	3.01674i	−0.741747	−	0.0966626i
$975$	−1.14032	−	2.28649i	−0.0365194	−	0.0732262i
$976$	36.1441	−	21.1216i	1.15695	−	0.676085i
$977$		−	42.0613i		−	1.34566i	−0.739797	−	0.672830i	$-0.765079\pi$
$977$		−	42.0613i		−	1.34566i	0.739797	−	0.672830i	$-0.234921\pi$
$978$	−0.443809	−	1.28298i	−0.0141915	−	0.0410251i
$979$	31.9258	−	18.4324i	1.02035	−	0.589101i
$980$	33.6810	−	7.05446i	1.07590	−	0.225346i
$981$	−13.6798	−	32.2076i	−0.436762	−	1.02831i
$982$	−43.4718	+	18.0735i	−1.38724	+	0.576749i
$983$	−3.51155	+	6.08218i	−0.112001	+	0.193992i	−0.916577	−	0.399858i	$-0.869059\pi$
$983$	−3.51155	+	6.08218i	−0.112001	+	0.193992i	0.804576	+	0.593850i	$0.202393\pi$
$984$	−35.8862	+	24.4175i	−1.14401	+	0.778401i
$985$	−17.7118	−	30.6777i	−0.564345	−	0.977474i
$986$	−28.0484	+	11.6612i	−0.893243	+	0.371368i
$987$	36.0925	−	16.7122i	1.14884	−	0.531956i
$988$	−4.59502	−	4.57096i	−0.146187	−	0.145422i
$989$	−38.1743	−	22.0399i	−1.21387	−	0.700829i
$990$	−27.2396	+	27.8044i	−0.865730	+	0.883683i
$991$	34.0177	−	19.6402i	1.08061	−	0.623890i	0.149548	−	0.988754i	$-0.452218\pi$
$991$	34.0177	−	19.6402i	1.08061	−	0.623890i	0.931061	+	0.364864i	$0.118885\pi$
$992$	−4.36432	+	34.9195i	−0.138567	+	1.10870i
$993$	0.707742	−	11.5927i	0.0224595	−	0.367883i
$994$	−7.45920	−	1.19280i	−0.236592	−	0.0378332i
$995$	−3.35590	+	5.81258i	−0.106389	+	0.184271i
$996$	0.581572	−	0.517375i	0.0184278	−	0.0163937i
$997$	2.27039	−	3.93243i	0.0719039	−	0.124541i	−0.827832	−	0.560976i	$-0.810426\pi$
$997$	2.27039	−	3.93243i	0.0719039	−	0.124541i	0.899736	+	0.436435i	$0.143759\pi$
$998$	39.1839	+	5.10635i	1.24035	+	0.161639i
$999$	−16.0156	+	18.7645i	−0.506710	+	0.593683i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bb.a.23.36	yes	88
3.2	odd	2		756.2.bb.a.611.9		88
4.3	odd	2	inner	252.2.bb.a.23.9	yes	88
7.4	even	3		252.2.o.a.95.7	✓	88
9.2	odd	6		252.2.o.a.191.21	yes	88
9.7	even	3		756.2.o.a.359.24		88
12.11	even	2		756.2.bb.a.611.36		88
21.11	odd	6		756.2.o.a.179.38		88
28.11	odd	6		252.2.o.a.95.21	yes	88
36.7	odd	6		756.2.o.a.359.38		88
36.11	even	6		252.2.o.a.191.7	yes	88
63.11	odd	6	inner	252.2.bb.a.11.9	yes	88
63.25	even	3		756.2.bb.a.683.36		88
84.11	even	6		756.2.o.a.179.24		88
252.11	even	6	inner	252.2.bb.a.11.36	yes	88
252.151	odd	6		756.2.bb.a.683.9		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.7	✓	88	7.4	even	3
252.2.o.a.95.21	yes	88	28.11	odd	6
252.2.o.a.191.7	yes	88	36.11	even	6
252.2.o.a.191.21	yes	88	9.2	odd	6
252.2.bb.a.11.9	yes	88	63.11	odd	6	inner
252.2.bb.a.11.36	yes	88	252.11	even	6	inner
252.2.bb.a.23.9	yes	88	4.3	odd	2	inner
252.2.bb.a.23.36	yes	88	1.1	even	1	trivial
756.2.o.a.179.24		88	84.11	even	6
756.2.o.a.179.38		88	21.11	odd	6
756.2.o.a.359.24		88	9.7	even	3
756.2.o.a.359.38		88	36.7	odd	6
756.2.bb.a.611.9		88	3.2	odd	2
756.2.bb.a.611.36		88	12.11	even	2
756.2.bb.a.683.9		88	252.151	odd	6
756.2.bb.a.683.36		88	63.25	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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bb (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.12310 + 0.859445i) q^{2} +(-1.72883 - 0.105547i) q^{3} +(0.522707 + 1.93049i) q^{4} +(2.12868 - 1.22899i) q^{5} +(-1.85094 - 1.60438i) q^{6} +(2.32866 - 1.25593i) q^{7} +(-1.07210 + 2.61737i) q^{8} +(2.97772 + 0.364945i) q^{9} +O(q^{10})\)	\(q+(1.12310 + 0.859445i) q^{2} +(-1.72883 - 0.105547i) q^{3} +(0.522707 + 1.93049i) q^{4} +(2.12868 - 1.22899i) q^{5} +(-1.85094 - 1.60438i) q^{6} +(2.32866 - 1.25593i) q^{7} +(-1.07210 + 2.61737i) q^{8} +(2.97772 + 0.364945i) q^{9} +(3.44698 + 0.449201i) q^{10} +(-1.86626 + 3.23245i) q^{11} +(-0.699917 - 3.39266i) q^{12} +(-0.708051 + 1.22638i) q^{13} +(3.69472 + 0.590820i) q^{14} +(-3.80985 + 1.90005i) q^{15} +(-3.45355 + 2.01816i) q^{16} +(3.50791 - 2.02529i) q^{17} +(3.03063 + 2.96906i) q^{18} +(1.98185 + 1.14422i) q^{19} +(3.48523 + 3.46699i) q^{20} +(-4.15842 + 1.92551i) q^{21} +(-4.87411 + 2.02642i) q^{22} +(-1.80849 - 3.13240i) q^{23} +(2.12973 - 4.41183i) q^{24} +(0.520855 - 0.902147i) q^{25} +(-1.84922 + 0.768816i) q^{26} +(-5.10946 - 0.945216i) q^{27} +(3.64176 + 3.83896i) q^{28} +(-4.59226 + 2.65135i) q^{29} +(-5.91183 - 1.14041i) q^{30} -6.22098i q^{31} +(-5.61318 - 0.701549i) q^{32} +(3.56762 - 5.39139i) q^{33} +(5.68037 + 0.740251i) q^{34} +(3.41344 - 5.53538i) q^{35} +(0.851955 + 5.93921i) q^{36} +(2.37386 - 4.11165i) q^{37} +(1.24242 + 2.98837i) q^{38} +(1.35354 - 2.04547i) q^{39} +(0.934581 + 6.88914i) q^{40} +(-7.67307 - 4.43005i) q^{41} +(-6.32519 - 1.41139i) q^{42} +(10.5542 - 6.09346i) q^{43} +(-7.21571 - 1.91316i) q^{44} +(6.78713 - 2.88275i) q^{45} +(0.661009 - 5.07229i) q^{46} -8.67939 q^{47} +(6.18363 - 3.12454i) q^{48} +(3.84529 - 5.84925i) q^{49} +(1.36032 - 0.565555i) q^{50} +(-6.27835 + 3.13115i) q^{51} +(-2.73761 - 0.725845i) q^{52} +(-6.93030 + 4.00121i) q^{53} +(-4.92607 - 5.45287i) q^{54} +9.17448i q^{55} +(0.790684 + 7.44143i) q^{56} +(-3.30552 - 2.18735i) q^{57} +(-7.43626 - 0.969075i) q^{58} +3.51395 q^{59} +(-5.65945 - 6.36169i) q^{60} -10.4658 q^{61} +(5.34660 - 6.98679i) q^{62} +(7.39243 - 2.88997i) q^{63} +(-5.70122 - 5.61213i) q^{64} +3.48076i q^{65} +(8.64040 - 2.98890i) q^{66} +10.9623i q^{67} +(5.74341 + 5.71334i) q^{68} +(2.79596 + 5.60627i) q^{69} +(8.59099 - 3.28312i) q^{70} -2.01888 q^{71} +(-4.14759 + 7.40253i) q^{72} +(0.474356 + 0.821609i) q^{73} +(6.19983 - 2.57759i) q^{74} +(-0.995689 + 1.50469i) q^{75} +(-1.17298 + 4.42403i) q^{76} +(-0.286144 + 9.87116i) q^{77} +(3.27813 - 1.13398i) q^{78} +4.03670i q^{79} +(-4.87121 + 8.54041i) q^{80} +(8.73363 + 2.17341i) q^{81} +(-4.81024 - 11.5700i) q^{82} +(0.112352 + 0.194599i) q^{83} +(-5.89080 - 7.02129i) q^{84} +(4.97815 - 8.62241i) q^{85} +(17.0904 + 2.22718i) q^{86} +(8.21909 - 4.09903i) q^{87} +(-6.45971 - 8.35018i) q^{88} +(-8.55343 - 4.93832i) q^{89} +(10.1002 + 2.59555i) q^{90} +(-0.108562 + 3.74508i) q^{91} +(5.10174 - 5.12859i) q^{92} +(-0.656604 + 10.7550i) q^{93} +(-9.74782 - 7.45946i) q^{94} +5.62497 q^{95} +(9.63020 + 1.80531i) q^{96} +(6.52412 + 11.3001i) q^{97} +(9.34576 - 3.26448i) q^{98} +(-6.73686 + 8.94426i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

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