LMFDB - Embedded newform 370.2.q.d.267.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(97,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 5]))

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

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

chi := DirichletCharacter("370.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.q (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 2x^{11} - 4x^{10} + 6x^{8} + 44x^{7} + 56x^{6} + 32x^{5} + 92x^{4} - 16x^{3} + 36x^{2} - 24x + 4 $ x^12 - 2x^11 - 4x^10 + 6x^8 + 44x^7 + 56x^6 + 32x^5 + 92x^4 - 16x^3 + 36x^2 - 24x + 4
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			267.2
Root			$-0.431120 - 1.60896i$ of defining polynomial
Character	$\chi$	$=$	370.267
Dual form			370.2.q.d.273.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 - 0.866025i) q^{2} +(-1.08428 + 0.290531i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.94546 + 1.10235i) q^{5} +(0.793745 + 0.793745i) q^{6} +(-1.13508 + 0.304145i) q^{7} +1.00000 q^{8} +(-1.50683 + 0.869970i) q^{9} +O(q^{10})$	\(q+(-0.500000 - 0.866025i) q^{2} +(-1.08428 + 0.290531i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.94546 + 1.10235i) q^{5} +(0.793745 + 0.793745i) q^{6} +(-1.13508 + 0.304145i) q^{7} +1.00000 q^{8} +(-1.50683 + 0.869970i) q^{9} +(-0.0180717 - 2.23599i) q^{10} -1.21792i q^{11} +(0.290531 - 1.08428i) q^{12} +(-1.27802 + 2.21360i) q^{13} +(0.830939 + 0.830939i) q^{14} +(-2.42968 - 0.630030i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-5.18413 + 2.99306i) q^{17} +(1.50683 + 0.869970i) q^{18} +(1.48860 + 5.55553i) q^{19} +(-1.92739 + 1.13365i) q^{20} +(1.14238 - 0.659553i) q^{21} +(-1.05475 + 0.608962i) q^{22} -2.78142 q^{23} +(-1.08428 + 0.290531i) q^{24} +(2.56966 + 4.28915i) q^{25} +2.55605 q^{26} +(3.76230 - 3.76230i) q^{27} +(0.304145 - 1.13508i) q^{28} +(3.89093 + 3.89093i) q^{29} +(0.669220 + 2.41918i) q^{30} +(1.69486 - 1.69486i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(0.353844 + 1.32056i) q^{33} +(5.18413 + 2.99306i) q^{34} +(-2.54354 - 0.659553i) q^{35} -1.73994i q^{36} +(-2.24745 + 5.65234i) q^{37} +(4.06693 - 4.06693i) q^{38} +(0.742610 - 2.77146i) q^{39} +(1.94546 + 1.10235i) q^{40} +(8.25720 + 4.76730i) q^{41} +(-1.14238 - 0.659553i) q^{42} -5.25996 q^{43} +(1.05475 + 0.608962i) q^{44} +(-3.89050 + 0.0314436i) q^{45} +(1.39071 + 2.40878i) q^{46} +(-3.72155 - 3.72155i) q^{47} +(0.793745 + 0.793745i) q^{48} +(-4.86627 + 2.80954i) q^{49} +(2.42968 - 4.36997i) q^{50} +(4.75145 - 4.75145i) q^{51} +(-1.27802 - 2.21360i) q^{52} +(5.06804 + 1.35798i) q^{53} +(-5.13940 - 1.37710i) q^{54} +(1.34257 - 2.36943i) q^{55} +(-1.13508 + 0.304145i) q^{56} +(-3.22811 - 5.59124i) q^{57} +(1.42418 - 5.31511i) q^{58} +(0.984278 + 0.263737i) q^{59} +(1.76046 - 1.78915i) q^{60} +(-0.684514 - 2.55464i) q^{61} +(-2.31522 - 0.620361i) q^{62} +(1.44578 - 1.44578i) q^{63} +1.00000 q^{64} +(-4.92650 + 2.89766i) q^{65} +(0.966720 - 0.966720i) q^{66} +(-3.05506 - 11.4016i) q^{67} -5.98612i q^{68} +(3.01583 - 0.808089i) q^{69} +(0.700579 + 2.53254i) q^{70} +(-2.54689 + 4.41134i) q^{71} +(-1.50683 + 0.869970i) q^{72} +(-5.93204 - 5.93204i) q^{73} +(6.01880 - 0.879826i) q^{74} +(-4.03235 - 3.90406i) q^{75} +(-5.55553 - 1.48860i) q^{76} +(0.370425 + 1.38244i) q^{77} +(-2.77146 + 0.742610i) q^{78} +(-3.10378 - 11.5835i) q^{79} +(-0.0180717 - 2.23599i) q^{80} +(-0.376397 + 0.651939i) q^{81} -9.53459i q^{82} +(16.7777 + 4.49556i) q^{83} +1.31911i q^{84} +(-13.3849 + 0.108179i) q^{85} +(2.62998 + 4.55526i) q^{86} +(-5.34927 - 3.08840i) q^{87} -1.21792i q^{88} +(1.51708 - 5.66183i) q^{89} +(1.97248 + 3.35355i) q^{90} +(0.777408 - 2.90133i) q^{91} +(1.39071 - 2.40878i) q^{92} +(-1.34528 + 2.33010i) q^{93} +(-1.36218 + 5.08373i) q^{94} +(-3.22811 + 12.4490i) q^{95} +(0.290531 - 1.08428i) q^{96} +8.11468i q^{97} +(4.86627 + 2.80954i) q^{98} +(1.05956 + 1.83521i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q - 6 q^{2} - 6 q^{4} + 2 q^{5} + 6 q^{6} - 4 q^{7} + 12 q^{8} + 18 q^{9}+O(q^{10}) $ 12 * q - 6 * q^2 - 6 * q^4 + 2 * q^5 + 6 * q^6 - 4 * q^7 + 12 * q^8 + 18 * q^9	$ 12 q - 6 q^{2} - 6 q^{4} + 2 q^{5} + 6 q^{6} - 4 q^{7} + 12 q^{8} + 18 q^{9} - 4 q^{10} - 6 q^{12} + 8 q^{14} - 10 q^{15} - 6 q^{16} - 12 q^{17} - 18 q^{18} - 8 q^{19} + 2 q^{20} + 54 q^{21} - 6 q^{22} - 4 q^{23} - 14 q^{25} + 18 q^{27} - 4 q^{28} + 4 q^{29} - 4 q^{30} - 2 q^{31} - 6 q^{32} + 20 q^{33} + 12 q^{34} + 6 q^{35} + 14 q^{37} + 16 q^{38} - 30 q^{39} + 2 q^{40} + 12 q^{41} - 54 q^{42} + 44 q^{43} + 6 q^{44} - 60 q^{45} + 2 q^{46} - 28 q^{47} + 6 q^{48} + 24 q^{49} + 10 q^{50} - 8 q^{51} + 8 q^{53} - 18 q^{54} - 4 q^{56} - 28 q^{57} - 14 q^{58} + 14 q^{60} + 24 q^{61} - 14 q^{62} + 8 q^{63} + 12 q^{64} - 10 q^{65} + 8 q^{66} + 18 q^{67} - 40 q^{69} - 30 q^{70} + 18 q^{72} - 28 q^{73} + 38 q^{74} - 30 q^{75} - 8 q^{76} + 10 q^{77} + 48 q^{78} - 56 q^{79} - 4 q^{80} + 4 q^{81} + 14 q^{83} - 28 q^{85} - 22 q^{86} + 18 q^{87} - 2 q^{89} + 18 q^{90} + 38 q^{91} + 2 q^{92} - 16 q^{94} - 28 q^{95} - 6 q^{96} - 24 q^{98} + 28 q^{99}+O(q^{100}) $ 12 * q - 6 * q^2 - 6 * q^4 + 2 * q^5 + 6 * q^6 - 4 * q^7 + 12 * q^8 + 18 * q^9 - 4 * q^10 - 6 * q^12 + 8 * q^14 - 10 * q^15 - 6 * q^16 - 12 * q^17 - 18 * q^18 - 8 * q^19 + 2 * q^20 + 54 * q^21 - 6 * q^22 - 4 * q^23 - 14 * q^25 + 18 * q^27 - 4 * q^28 + 4 * q^29 - 4 * q^30 - 2 * q^31 - 6 * q^32 + 20 * q^33 + 12 * q^34 + 6 * q^35 + 14 * q^37 + 16 * q^38 - 30 * q^39 + 2 * q^40 + 12 * q^41 - 54 * q^42 + 44 * q^43 + 6 * q^44 - 60 * q^45 + 2 * q^46 - 28 * q^47 + 6 * q^48 + 24 * q^49 + 10 * q^50 - 8 * q^51 + 8 * q^53 - 18 * q^54 - 4 * q^56 - 28 * q^57 - 14 * q^58 + 14 * q^60 + 24 * q^61 - 14 * q^62 + 8 * q^63 + 12 * q^64 - 10 * q^65 + 8 * q^66 + 18 * q^67 - 40 * q^69 - 30 * q^70 + 18 * q^72 - 28 * q^73 + 38 * q^74 - 30 * q^75 - 8 * q^76 + 10 * q^77 + 48 * q^78 - 56 * q^79 - 4 * q^80 + 4 * q^81 + 14 * q^83 - 28 * q^85 - 22 * q^86 + 18 * q^87 - 2 * q^89 + 18 * q^90 + 38 * q^91 + 2 * q^92 - 16 * q^94 - 28 * q^95 - 6 * q^96 - 24 * q^98 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{4}\right)$

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
$3$	−1.08428	+	0.290531i	−0.626007	+	0.167738i	−0.557857	−	0.829937i	$-0.688376\pi$
$3$	−1.08428	+	0.290531i	−0.626007	+	0.167738i	−0.0681497	+	0.997675i	$0.521710\pi$
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	1.94546	+	1.10235i	0.870038	+	0.492985i
$5$	1.94546	+	1.10235i	0.870038	+	0.492985i
$6$	0.793745	+	0.793745i	0.324045	+	0.324045i
$7$	−1.13508	+	0.304145i	−0.429021	+	0.114956i	−0.466867	−	0.884328i	$-0.654617\pi$
$7$	−1.13508	+	0.304145i	−0.429021	+	0.114956i	0.0378454	+	0.999284i	$0.487951\pi$
$8$	1.00000			0.353553
$9$	−1.50683	+	0.869970i	−0.502277	+	0.289990i
$10$	−0.0180717	−	2.23599i	−0.00571477	−	0.707084i
$11$		−	1.21792i		−	0.367218i	−0.982999	−	0.183609i	$-0.941222\pi$
$11$		−	1.21792i		−	0.367218i	0.982999	−	0.183609i	$-0.0587780\pi$
$12$	0.290531	−	1.08428i	0.0838690	−	0.313003i
$13$	−1.27802	+	2.21360i	−0.354460	+	0.613942i	−0.987025	−	0.160564i	$-0.948669\pi$
$13$	−1.27802	+	2.21360i	−0.354460	+	0.613942i	0.632566	+	0.774507i	$0.282002\pi$
$14$	0.830939	+	0.830939i	0.222078	+	0.222078i
$15$	−2.42968	−	0.630030i	−0.627342	−	0.162673i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−5.18413	+	2.99306i	−1.25734	+	0.725923i	−0.972556	−	0.232669i	$-0.925254\pi$
$17$	−5.18413	+	2.99306i	−1.25734	+	0.725923i	−0.284780	+	0.958593i	$0.591921\pi$
$18$	1.50683	+	0.869970i	0.355164	+	0.205054i
$19$	1.48860	+	5.55553i	0.341509	+	1.27453i	0.896638	+	0.442763i	$0.146002\pi$
$19$	1.48860	+	5.55553i	0.341509	+	1.27453i	−0.555130	+	0.831764i	$0.687331\pi$
$20$	−1.92739	+	1.13365i	−0.430978	+	0.253491i
$21$	1.14238	−	0.659553i	0.249288	−	0.143926i
$22$	−1.05475	+	0.608962i	−0.224874	+	0.129831i
$23$	−2.78142			−0.579967			−0.289983	−	0.957032i	$-0.593650\pi$
$23$	−2.78142			−0.579967			−0.289983	+	0.957032i	$0.593650\pi$
$24$	−1.08428	+	0.290531i	−0.221327	+	0.0593043i
$25$	2.56966	+	4.28915i	0.513932	+	0.857831i
$26$	2.55605			0.501282
$27$	3.76230	−	3.76230i	0.724055	−	0.724055i
$28$	0.304145	−	1.13508i	0.0574780	−	0.214511i
$29$	3.89093	+	3.89093i	0.722527	+	0.722527i	0.969119	−	0.246592i	$-0.0793108\pi$
$29$	3.89093	+	3.89093i	0.722527	+	0.722527i	−0.246592	+	0.969119i	$0.579311\pi$
$30$	0.669220	+	2.41918i	0.122182	+	0.441680i
$31$	1.69486	−	1.69486i	0.304405	−	0.304405i	−0.538329	−	0.842735i	$-0.680944\pi$
$31$	1.69486	−	1.69486i	0.304405	−	0.304405i	0.842735	+	0.538329i	$0.180944\pi$
$32$	−0.500000	+	0.866025i	−0.0883883	+	0.153093i
$33$	0.353844	+	1.32056i	0.0615963	+	0.229881i
$34$	5.18413	+	2.99306i	0.889071	+	0.513305i
$35$	−2.54354	−	0.659553i	−0.429936	−	0.111485i
$36$		−	1.73994i		−	0.289990i
$37$	−2.24745	+	5.65234i	−0.369478	+	0.929240i
$37$	−2.24745	+	5.65234i	−0.369478	+	0.929240i
$38$	4.06693	−	4.06693i	0.659744	−	0.659744i
$39$	0.742610	−	2.77146i	0.118913	−	0.443788i
$40$	1.94546	+	1.10235i	0.307605	+	0.174296i
$41$	8.25720	+	4.76730i	1.28956	+	0.744527i	0.978575	−	0.205889i	$-0.0660086\pi$
$41$	8.25720	+	4.76730i	1.28956	+	0.744527i	0.310982	+	0.950416i	$0.399342\pi$
$42$	−1.14238	−	0.659553i	−0.176273	−	0.101771i
$43$	−5.25996			−0.802136			−0.401068	−	0.916048i	$-0.631361\pi$
$43$	−5.25996			−0.802136			−0.401068	+	0.916048i	$0.631361\pi$
$44$	1.05475	+	0.608962i	0.159010	+	0.0918044i
$45$	−3.89050	+	0.0314436i	−0.579961	+	0.00468734i
$46$	1.39071	+	2.40878i	0.205049	+	0.355156i
$47$	−3.72155	−	3.72155i	−0.542844	−	0.542844i	0.381518	−	0.924362i	$-0.375402\pi$
$47$	−3.72155	−	3.72155i	−0.542844	−	0.542844i	−0.924362	+	0.381518i	$0.875402\pi$
$48$	0.793745	+	0.793745i	0.114567	+	0.114567i
$49$	−4.86627	+	2.80954i	−0.695181	+	0.401363i
$50$	2.42968	−	4.36997i	0.343609	−	0.618007i
$51$	4.75145	−	4.75145i	0.665336	−	0.665336i
$52$	−1.27802	−	2.21360i	−0.177230	−	0.306971i
$53$	5.06804	+	1.35798i	0.696149	+	0.186533i	0.589505	−	0.807765i	$-0.299323\pi$
$53$	5.06804	+	1.35798i	0.696149	+	0.186533i	0.106644	+	0.994297i	$0.465989\pi$
$54$	−5.13940	−	1.37710i	−0.699384	−	0.187399i
$55$	1.34257	−	2.36943i	0.181033	−	0.319493i
$56$	−1.13508	+	0.304145i	−0.151682	+	0.0406430i
$57$	−3.22811	−	5.59124i	−0.427573	−	0.740578i
$58$	1.42418	−	5.31511i	0.187004	−	0.697908i
$59$	0.984278	+	0.263737i	0.128142	+	0.0343356i	0.322320	−	0.946631i	$-0.395537\pi$
$59$	0.984278	+	0.263737i	0.128142	+	0.0343356i	−0.194178	+	0.980966i	$0.562204\pi$
$60$	1.76046	−	1.78915i	0.227275	−	0.230979i
$61$	−0.684514	−	2.55464i	−0.0876431	−	0.327088i	0.908158	−	0.418627i	$-0.137488\pi$
$61$	−0.684514	−	2.55464i	−0.0876431	−	0.327088i	−0.995802	+	0.0915380i	$0.970822\pi$
$62$	−2.31522	−	0.620361i	−0.294033	−	0.0787859i
$63$	1.44578	−	1.44578i	0.182152	−	0.182152i
$64$	1.00000			0.125000
$65$	−4.92650	+	2.89766i	−0.611058	+	0.359410i
$66$	0.966720	−	0.966720i	0.118995	−	0.118995i
$67$	−3.05506	−	11.4016i	−0.373234	−	1.39293i	−0.855907	−	0.517129i	$-0.827001\pi$
$67$	−3.05506	−	11.4016i	−0.373234	−	1.39293i	0.482673	−	0.875801i	$-0.339666\pi$
$68$		−	5.98612i		−	0.725923i
$69$	3.01583	−	0.808089i	0.363063	−	0.0972825i
$70$	0.700579	+	2.53254i	0.0837352	+	0.302697i
$71$	−2.54689	+	4.41134i	−0.302260	+	0.523530i	−0.976648	−	0.214848i	$-0.931074\pi$
$71$	−2.54689	+	4.41134i	−0.302260	+	0.523530i	0.674387	+	0.738378i	$0.264408\pi$
$72$	−1.50683	+	0.869970i	−0.177582	+	0.102527i
$73$	−5.93204	−	5.93204i	−0.694292	−	0.694292i	0.268881	−	0.963173i	$-0.413346\pi$
$73$	−5.93204	−	5.93204i	−0.694292	−	0.694292i	−0.963173	+	0.268881i	$0.913346\pi$
$74$	6.01880	−	0.879826i	0.699671	−	0.102278i
$75$	−4.03235	−	3.90406i	−0.465616	−	0.450802i
$76$	−5.55553	−	1.48860i	−0.637264	−	0.170754i
$77$	0.370425	+	1.38244i	0.0422138	+	0.157544i
$78$	−2.77146	+	0.742610i	−0.313806	+	0.0840840i
$79$	−3.10378	−	11.5835i	−0.349202	−	1.30324i	−0.887625	−	0.460567i	$-0.847646\pi$
$79$	−3.10378	−	11.5835i	−0.349202	−	1.30324i	0.538423	−	0.842675i	$-0.319020\pi$
$80$	−0.0180717	−	2.23599i	−0.00202048	−	0.249992i
$81$	−0.376397	+	0.651939i	−0.0418219	+	0.0724377i
$82$		−	9.53459i		−	1.05292i
$83$	16.7777	+	4.49556i	1.84159	+	0.493452i	0.998983	−	0.0450809i	$-0.0143546\pi$
$83$	16.7777	+	4.49556i	1.84159	+	0.493452i	0.842604	+	0.538533i	$0.181021\pi$
$84$			1.31911i			0.143926i
$85$	−13.3849	+	0.108179i	−1.45180	+	0.0117337i
$86$	2.62998	+	4.55526i	0.283598	+	0.491206i
$87$	−5.34927	−	3.08840i	−0.573502	−	0.331112i
$88$		−	1.21792i		−	0.129831i
$89$	1.51708	−	5.66183i	0.160810	−	0.600152i	−0.837727	−	0.546089i	$-0.816116\pi$
$89$	1.51708	−	5.66183i	0.160810	−	0.600152i	0.998538	−	0.0540634i	$-0.0172173\pi$
$90$	1.97248	+	3.35355i	0.207917	+	0.353495i
$91$	0.777408	−	2.90133i	0.0814945	−	0.304142i
$92$	1.39071	−	2.40878i	0.144992	−	0.251133i
$93$	−1.34528	+	2.33010i	−0.139499	+	0.241620i
$94$	−1.36218	+	5.08373i	−0.140498	+	0.524347i
$95$	−3.22811	+	12.4490i	−0.331197	+	1.27725i
$96$	0.290531	−	1.08428i	0.0296522	−	0.110663i
$97$			8.11468i			0.823921i	0.911202	+	0.411961i	$0.135156\pi$
$97$			8.11468i			0.823921i	−0.911202	+	0.411961i	$0.864844\pi$
$98$	4.86627	+	2.80954i	0.491567	+	0.283806i
$99$	1.05956	+	1.83521i	0.106489	+	0.184445i
$100$	−4.99935	+	0.0808164i	−0.499935	+	0.00808164i
$101$		−	3.43331i		−	0.341627i	−0.985303	−	0.170814i	$-0.945360\pi$
$101$		−	3.43331i		−	0.341627i	0.985303	−	0.170814i	$-0.0546396\pi$
$102$	−6.49060	−	1.73915i	−0.642665	−	0.172202i
$103$			2.01323i			0.198369i	0.995069	+	0.0991847i	$0.0316235\pi$
$103$			2.01323i			0.198369i	−0.995069	+	0.0991847i	$0.968377\pi$
$104$	−1.27802	+	2.21360i	−0.125320	+	0.217061i
$105$	2.94952	−	0.0238385i	0.287843	−	0.00232640i
$106$	−1.35798	−	5.06804i	−0.131898	−	0.492252i
$107$	−2.66586	+	0.714316i	−0.257719	+	0.0690555i	−0.385365	−	0.922764i	$-0.625924\pi$
$107$	−2.66586	+	0.714316i	−0.257719	+	0.0690555i	0.127646	+	0.991820i	$0.459258\pi$
$108$	1.37710	+	5.13940i	0.132511	+	0.494539i
$109$	−4.48233	−	1.20104i	−0.429330	−	0.115039i	0.0376819	−	0.999290i	$-0.488003\pi$
$109$	−4.48233	−	1.20104i	−0.429330	−	0.115039i	−0.467011	+	0.884251i	$0.654669\pi$
$110$	−2.72327	+	0.0220099i	−0.259654	+	0.00209856i
$111$	0.794671	−	6.78165i	0.0754268	−	0.643686i
$112$	0.830939	+	0.830939i	0.0785163	+	0.0785163i
$113$	12.1874	−	7.03638i	1.14649	−	0.661927i	0.198462	−	0.980109i	$-0.436405\pi$
$113$	12.1874	−	7.03638i	1.14649	−	0.661927i	0.948030	+	0.318181i	$0.103072\pi$
$114$	−3.22811	+	5.59124i	−0.302340	+	0.523668i
$115$	−5.41116	−	3.06609i	−0.504593	−	0.285915i
$116$	−5.31511	+	1.42418i	−0.493495	+	0.132232i
$117$		−	4.44736i		−	0.411159i
$118$	−0.263737	−	0.984278i	−0.0242789	−	0.0906102i
$119$	4.97410	−	4.97410i	0.455975	−	0.455975i
$120$	−2.42968	−	0.630030i	−0.221799	−	0.0575136i
$121$	9.51666			0.865151
$122$	−1.87013	+	1.87013i	−0.169313	+	0.169313i
$123$	−10.3381	−	2.77009i	−0.932157	−	0.249771i
$124$	0.620361	+	2.31522i	0.0557100	+	0.207913i
$125$	0.271052	+	11.1771i	0.0242436	+	0.999706i
$126$	−1.97498	−	0.529193i	−0.175945	−	0.0471443i
$127$	−2.29622	+	8.56961i	−0.203757	+	0.760430i	0.786068	+	0.618139i	$0.212113\pi$
$127$	−2.29622	+	8.56961i	−0.203757	+	0.760430i	−0.989825	+	0.142290i	$0.954553\pi$
$128$	−0.500000	−	0.866025i	−0.0441942	−	0.0765466i
$129$	5.70324	−	1.52818i	0.502142	−	0.134549i
$130$	4.97270	+	2.81765i	0.436134	+	0.247124i
$131$	13.5584	+	3.63297i	1.18460	+	0.317414i	0.796751	−	0.604308i	$-0.206550\pi$
$131$	13.5584	+	3.63297i	1.18460	+	0.317414i	0.387853	+	0.921721i	$0.373217\pi$
$132$	−1.32056	−	0.353844i	−0.114940	−	0.0307982i
$133$	−3.37937	−	5.85325i	−0.293029	−	0.507541i
$134$	−8.34657	+	8.34657i	−0.721034	+	0.721034i
$135$	11.4668	−	3.17206i	0.986904	−	0.273008i
$136$	−5.18413	+	2.99306i	−0.444535	+	0.256653i
$137$	4.03954	+	4.03954i	0.345122	+	0.345122i	0.858289	−	0.513167i	$-0.171528\pi$
$137$	4.03954	+	4.03954i	0.345122	+	0.345122i	−0.513167	+	0.858289i	$0.671528\pi$
$138$	−2.20774	−	2.20774i	−0.187935	−	0.187935i
$139$	−6.58254	−	11.4013i	−0.558324	−	0.967046i	−0.997637	−	0.0687113i	$-0.978111\pi$
$139$	−6.58254	−	11.4013i	−0.558324	−	0.967046i	0.439313	−	0.898334i	$-0.355222\pi$
$140$	1.84296	−	1.87299i	0.155758	−	0.158297i
$141$	5.11641	+	2.95396i	0.430879	+	0.248768i
$142$	5.09378			0.427460
$143$	2.69600	+	1.55653i	0.225450	+	0.130164i
$144$	1.50683	+	0.869970i	0.125569	+	0.0724975i
$145$	3.28051	+	11.8588i	0.272431	+	0.984821i
$146$	−2.17128	+	8.10331i	−0.179696	+	0.670635i
$147$	4.46012	−	4.46012i	0.367864	−	0.367864i
$148$	−3.77135	−	4.77252i	−0.310003	−	0.392298i
$149$		−	6.04160i		−	0.494947i	−0.968895	−	0.247474i	$-0.920400\pi$
$149$		−	6.04160i		−	0.494947i	0.968895	−	0.247474i	$-0.0796004\pi$
$150$	−1.36484	+	5.44415i	−0.111438	+	0.444513i
$151$	10.3575	+	5.97991i	0.842882	+	0.486638i	0.858243	−	0.513244i	$-0.171556\pi$
$151$	10.3575	+	5.97991i	0.842882	+	0.486638i	−0.0153611	+	0.999882i	$0.504890\pi$
$152$	1.48860	+	5.55553i	0.120741	+	0.450613i
$153$	5.20774	−	9.02007i	0.421021	−	0.729229i
$154$	1.01202	−	1.01202i	0.0815509	−	0.0815509i
$155$	5.16560	−	1.42896i	0.414911	−	0.114777i
$156$	2.02885	+	2.02885i	0.162438	+	0.162438i
$157$	5.39005	−	20.1160i	0.430173	−	1.60543i	−0.322187	−	0.946676i	$-0.604418\pi$
$157$	5.39005	−	20.1160i	0.430173	−	1.60543i	0.752360	−	0.658752i	$-0.228915\pi$
$158$	−8.47968	+	8.47968i	−0.674607	+	0.674607i
$159$	−5.88969			−0.467083
$160$	−1.92739	+	1.13365i	−0.152374	+	0.0896227i
$161$	3.15715	−	0.845955i	0.248818	−	0.0666706i
$162$	0.752795			0.0591451
$163$	−15.1902	+	8.77009i	−1.18979	+	0.686927i	−0.958259	−	0.285901i	$-0.907707\pi$
$163$	−15.1902	+	8.77009i	−1.18979	+	0.686927i	−0.231532	+	0.972827i	$0.574374\pi$
$164$	−8.25720	+	4.76730i	−0.644779	+	0.372263i
$165$	−0.767329	+	2.95917i	−0.0597365	+	0.230371i
$166$	−4.49556	−	16.7777i	−0.348923	−	1.30220i
$167$	15.9782	+	9.22500i	1.23643	+	0.713852i	0.968362	−	0.249549i	$-0.0802823\pi$
$167$	15.9782	+	9.22500i	1.23643	+	0.713852i	0.268066	+	0.963401i	$0.413616\pi$
$168$	1.14238	−	0.659553i	0.0881365	−	0.0508856i
$169$	3.23332	+	5.60027i	0.248717	+	0.430790i
$170$	6.78615	+	11.5376i	0.520474	+	0.884893i
$171$	−7.07622	−	7.07622i	−0.541132	−	0.541132i
$172$	2.62998	−	4.55526i	0.200534	−	0.347335i
$173$	2.09410	−	7.81527i	0.159211	−	0.594184i	−0.839497	−	0.543365i	$-0.817150\pi$
$173$	2.09410	−	7.81527i	0.159211	−	0.594184i	0.998708	−	0.0508192i	$-0.0161832\pi$
$174$			6.17681i			0.468263i
$175$	−4.22131	−	4.08700i	−0.319101	−	0.308948i
$176$	−1.05475	+	0.608962i	−0.0795050	+	0.0459022i
$177$	−1.14385			−0.0859772
$178$	−5.66183	+	1.51708i	−0.424372	+	0.113710i
$179$	−11.0154	−	11.0154i	−0.823333	−	0.823333i	0.163251	−	0.986585i	$-0.447802\pi$
$179$	−11.0154	−	11.0154i	−0.823333	−	0.823333i	−0.986585	+	0.163251i	$0.947802\pi$
$180$	1.91802	−	3.38499i	0.142961	−	0.252302i
$181$	−7.05432	+	12.2184i	−0.524344	+	0.908190i	0.475254	+	0.879848i	$0.342356\pi$
$181$	−7.05432	+	12.2184i	−0.524344	+	0.908190i	−0.999598	+	0.0283418i	$0.990977\pi$
$182$	−2.90133	+	0.777408i	−0.215061	+	0.0576253i
$183$	1.48440	+	2.57106i	0.109730	+	0.190058i
$184$	−2.78142			−0.205049
$185$	−10.6032	+	8.51897i	−0.779561	+	0.626327i
$186$	2.69057			0.197282
$187$	3.64532	+	6.31387i	0.266572	+	0.461716i
$188$	5.08373	−	1.36218i	0.370769	−	0.0993473i
$189$	−3.12624	+	5.41481i	−0.227401	+	0.393869i
$190$	12.3952	−	3.42890i	0.899246	−	0.248759i
$191$	3.33828	+	3.33828i	0.241550	+	0.241550i	0.817491	−	0.575941i	$-0.195364\pi$
$191$	3.33828	+	3.33828i	0.241550	+	0.241550i	−0.575941	+	0.817491i	$0.695364\pi$
$192$	−1.08428	+	0.290531i	−0.0782508	+	0.0209672i
$193$	5.32063			0.382987			0.191494	−	0.981494i	$-0.438667\pi$
$193$	5.32063			0.382987			0.191494	+	0.981494i	$0.438667\pi$
$194$	7.02752	−	4.05734i	0.504547	−	0.291300i
$195$	4.49983	−	4.57316i	0.322239	−	0.327491i
$196$		−	5.61908i		−	0.401363i
$197$	−5.30374	+	19.7938i	−0.377876	+	1.41025i	0.471222	+	0.882015i	$0.343813\pi$
$197$	−5.30374	+	19.7938i	−0.377876	+	1.41025i	−0.849097	+	0.528237i	$0.822853\pi$
$198$	1.05956	−	1.83521i	0.0752994	−	0.130422i
$199$	19.1905	+	19.1905i	1.36038	+	1.36038i	0.873428	+	0.486953i	$0.161892\pi$
$199$	19.1905	+	19.1905i	1.36038	+	1.36038i	0.486953	+	0.873428i	$0.338108\pi$
$200$	2.56966	+	4.28915i	0.181703	+	0.303289i
$201$	6.62504	+	11.4749i	0.467294	+	0.809378i
$202$	−2.97333	+	1.71666i	−0.209203	+	0.120783i
$203$	−5.59993	−	3.23312i	−0.393038	−	0.226921i
$204$	1.73915	+	6.49060i	0.121765	+	0.454433i
$205$	10.8089	+	18.3769i	0.754924	+	1.28350i
$206$	1.74351	−	1.00661i	0.121476	−	0.0701342i
$207$	4.19114	−	2.41975i	0.291304	−	0.168185i
$208$	2.55605			0.177230
$209$	6.76622	−	1.81300i	0.468029	−	0.125408i
$210$	−1.49540	−	2.54244i	−0.103193	−	0.175445i
$211$	−5.40727			−0.372252			−0.186126	−	0.982526i	$-0.559593\pi$
$211$	−5.40727			−0.372252			−0.186126	+	0.982526i	$0.559593\pi$
$212$	−3.71006	+	3.71006i	−0.254808	+	0.254808i
$213$	1.47990	−	5.52306i	0.101401	−	0.378434i
$214$	1.95155	+	1.95155i	0.133405	+	0.133405i
$215$	−10.2331	−	5.79830i	−0.697889	−	0.395441i
$216$	3.76230	−	3.76230i	0.255992	−	0.255992i
$217$	−1.40832	+	2.43929i	−0.0956031	+	0.165589i
$218$	1.20104	+	4.48233i	0.0813445	+	0.303582i
$219$	8.15540	+	4.70852i	0.551091	+	0.318172i
$220$	1.38070	+	2.34742i	0.0930865	+	0.158263i
$221$		−	15.3008i		−	1.02924i
$222$	−6.27042	+	2.70262i	−0.420843	+	0.181388i
$223$	6.58856	−	6.58856i	0.441202	−	0.441202i	−0.451214	−	0.892416i	$-0.649009\pi$
$223$	6.58856	−	6.58856i	0.441202	−	0.441202i	0.892416	+	0.451214i	$0.149009\pi$
$224$	0.304145	−	1.13508i	0.0203215	−	0.0758410i
$225$	−7.60348	−	4.22750i	−0.506899	−	0.281834i
$226$	−12.1874	−	7.03638i	−0.810692	−	0.468053i
$227$	16.1937	+	9.34941i	1.07481	+	0.620542i	0.929492	−	0.368843i	$-0.120246\pi$
$227$	16.1937	+	9.34941i	1.07481	+	0.620542i	0.145319	+	0.989385i	$0.453579\pi$
$228$	6.45621			0.427573
$229$	−6.81335	−	3.93369i	−0.450239	−	0.259945i	0.257692	−	0.966227i	$-0.417038\pi$
$229$	−6.81335	−	3.93369i	−0.450239	−	0.259945i	−0.707931	+	0.706282i	$0.750371\pi$
$230$	0.0502650	+	6.21925i	0.00331438	+	0.410085i
$231$	−0.803285	−	1.39133i	−0.0528523	−	0.0915428i
$232$	3.89093	+	3.89093i	0.255452	+	0.255452i
$233$	7.06630	+	7.06630i	0.462929	+	0.462929i	0.899614	−	0.436686i	$-0.143848\pi$
$233$	7.06630	+	7.06630i	0.462929	+	0.462929i	−0.436686	+	0.899614i	$0.643848\pi$
$234$	−3.85153	+	2.22368i	−0.251782	+	0.145367i
$235$	−3.13770	−	11.3426i	−0.204681	−	0.739908i
$236$	−0.720542	+	0.720542i	−0.0469033	+	0.0469033i
$237$	6.73070	+	11.6579i	0.437206	+	0.757263i
$238$	−6.79474	−	1.82065i	−0.440438	−	0.118015i
$239$	−5.09670	−	1.36566i	−0.329678	−	0.0883370i	0.0901834	−	0.995925i	$-0.471255\pi$
$239$	−5.09670	−	1.36566i	−0.329678	−	0.0883370i	−0.419861	+	0.907588i	$0.637921\pi$
$240$	0.669220	+	2.41918i	0.0431980	+	0.156158i
$241$	−24.4167	+	6.54244i	−1.57282	+	0.421436i	−0.936694	−	0.350149i	$-0.886131\pi$
$241$	−24.4167	+	6.54244i	−1.57282	+	0.421436i	−0.636126	+	0.771585i	$0.719464\pi$
$242$	−4.75833	−	8.24167i	−0.305877	−	0.529795i
$243$	−3.91258	+	14.6020i	−0.250992	+	0.936716i
$244$	2.55464	+	0.684514i	0.163544	+	0.0438215i
$245$	−12.5642	+	0.101546i	−0.802700	+	0.00648755i
$246$	2.77009	+	10.3381i	0.176615	+	0.659135i
$247$	−14.2002	−	3.80493i	−0.903537	−	0.242102i
$248$	1.69486	−	1.69486i	0.107623	−	0.107623i
$249$	−19.4977			−1.23562
$250$	9.54409	−	5.82326i	0.603621	−	0.368296i
$251$	−14.2080	+	14.2080i	−0.896802	+	0.896802i	−0.995152	−	0.0983497i	$-0.968644\pi$
$251$	−14.2080	+	14.2080i	−0.896802	+	0.896802i	0.0983497	+	0.995152i	$0.468644\pi$
$252$	0.529193	+	1.97498i	0.0333360	+	0.124412i
$253$			3.38756i			0.212974i
$254$	8.56961	−	2.29622i	0.537705	−	0.144078i
$255$	14.4815	−	4.00603i	0.906868	−	0.250867i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	6.18360	−	3.57011i	0.385723	−	0.222697i	−0.294583	−	0.955626i	$-0.595181\pi$
$257$	6.18360	−	3.57011i	0.385723	−	0.222697i	0.680305	+	0.732929i	$0.261847\pi$
$258$	−4.17506	−	4.17506i	−0.259928	−	0.259928i
$259$	0.831909	−	7.09943i	0.0516923	−	0.441137i
$260$	−0.0461920	−	5.71530i	−0.00286471	−	0.354448i
$261$	−9.24796	−	2.47798i	−0.572435	−	0.153383i
$262$	−3.63297	−	13.5584i	−0.224445	−	0.837642i
$263$	−1.38769	+	0.371830i	−0.0855686	+	0.0229280i	−0.301349	−	0.953514i	$-0.597437\pi$
$263$	−1.38769	+	0.371830i	−0.0855686	+	0.0229280i	0.215781	+	0.976442i	$0.430770\pi$
$264$	0.353844	+	1.32056i	0.0217776	+	0.0812751i
$265$	8.36273	+	8.22864i	0.513719	+	0.505481i
$266$	−3.37937	+	5.85325i	−0.207203	+	0.358886i
$267$			6.57974i			0.402673i
$268$	11.4016	+	3.05506i	0.696465	+	0.186617i
$269$		−	16.2747i		−	0.992286i	−0.868241	−	0.496143i	$-0.834749\pi$
$269$		−	16.2747i		−	0.992286i	0.868241	−	0.496143i	$-0.165251\pi$
$270$	−8.48048	−	8.34449i	−0.516105	−	0.507830i
$271$	2.32149	+	4.02093i	0.141020	+	0.244254i	0.927881	−	0.372876i	$-0.121628\pi$
$271$	2.32149	+	4.02093i	0.141020	+	0.244254i	−0.786861	+	0.617130i	$0.788295\pi$
$272$	5.18413	+	2.99306i	0.314334	+	0.181481i
$273$			3.37170i			0.204064i
$274$	1.47858	−	5.51812i	0.0893240	−	0.333362i
$275$	5.22386	−	3.12965i	0.315011	−	0.188725i
$276$	−0.808089	+	3.01583i	−0.0486412	+	0.181532i
$277$	5.22371	−	9.04773i	0.313862	−	0.543625i	−0.665333	−	0.746547i	$-0.731710\pi$
$277$	5.22371	−	9.04773i	0.313862	−	0.543625i	0.979195	+	0.202922i	$0.0650437\pi$
$278$	−6.58254	+	11.4013i	−0.394795	+	0.683804i
$279$	−1.07939	+	4.02834i	−0.0646214	+	0.241170i
$280$	−2.54354	−	0.659553i	−0.152005	−	0.0394158i
$281$	2.58974	−	9.66505i	0.154491	−	0.576569i	−0.844657	−	0.535307i	$-0.820196\pi$
$281$	2.58974	−	9.66505i	0.154491	−	0.576569i	0.999148	−	0.0412612i	$-0.0131376\pi$
$282$		−	5.90792i		−	0.351812i
$283$	−19.2627	−	11.1213i	−1.14505	−	0.661093i	−0.197371	−	0.980329i	$-0.563240\pi$
$283$	−19.2627	−	11.1213i	−1.14505	−	0.661093i	−0.947675	+	0.319236i	$0.896574\pi$
$284$	−2.54689	−	4.41134i	−0.151130	−	0.261765i
$285$	−0.116675	−	14.4361i	−0.00691121	−	0.855118i
$286$		−	3.11307i		−	0.184080i
$287$	−10.8226	−	2.89990i	−0.638835	−	0.171175i
$288$		−	1.73994i		−	0.102527i
$289$	9.41680	−	16.3104i	0.553929	−	0.959434i
$290$	8.62978	−	8.77041i	0.506758	−	0.515016i
$291$	−2.35756	−	8.79855i	−0.138203	−	0.515780i
$292$	8.10331	−	2.17128i	0.474211	−	0.127064i
$293$	7.84718	+	29.2861i	0.458437	+	1.71091i	0.677782	+	0.735263i	$0.262941\pi$
$293$	7.84718	+	29.2861i	0.458437	+	1.71091i	−0.219345	+	0.975647i	$0.570392\pi$
$294$	−6.09263	−	1.63252i	−0.355329	−	0.0952102i
$295$	1.62415	+	1.59811i	0.0945616	+	0.0930453i
$296$	−2.24745	+	5.65234i	−0.130630	+	0.328536i
$297$	−4.58219	−	4.58219i	−0.265886	−	0.265886i
$298$	−5.23218	+	3.02080i	−0.303092	+	0.174990i
$299$	3.55472	−	6.15696i	0.205575	−	0.356066i
$300$	5.39719	−	1.54009i	0.311607	−	0.0889172i
$301$	5.97049	−	1.59979i	0.344133	−	0.0922103i
$302$		−	11.9598i		−	0.688210i
$303$	0.997482	+	3.72265i	0.0573039	+	0.213861i
$304$	4.06693	−	4.06693i	0.233255	−	0.233255i
$305$	1.48440	−	5.72454i	0.0849967	−	0.327786i
$306$	−10.4155			−0.595413
$307$	1.72228	−	1.72228i	0.0982959	−	0.0982959i	−0.656249	−	0.754545i	$-0.727858\pi$
$307$	1.72228	−	1.72228i	0.0982959	−	0.0982959i	0.754545	+	0.656249i	$0.227858\pi$
$308$	−1.38244	−	0.370425i	−0.0787721	−	0.0211069i
$309$	−0.584905	−	2.18289i	−0.0332741	−	0.124181i
$310$	−3.82032	−	3.75906i	−0.216980	−	0.213500i
$311$	−24.6877	−	6.61505i	−1.39991	−	0.375105i	−0.521599	−	0.853191i	$-0.674664\pi$
$311$	−24.6877	−	6.61505i	−1.39991	−	0.375105i	−0.878313	+	0.478086i	$0.841331\pi$
$312$	0.742610	−	2.77146i	0.0420420	−	0.156903i
$313$	4.40247	+	7.62529i	0.248842	+	0.431007i	0.963205	−	0.268768i	$-0.0866167\pi$
$313$	4.40247	+	7.62529i	0.248842	+	0.431007i	−0.714363	+	0.699776i	$0.753283\pi$
$314$	−20.1160	+	5.39005i	−1.13521	+	0.304178i
$315$	4.40647	−	1.21896i	0.248277	−	0.0686809i
$316$	11.5835	+	3.10378i	0.651621	+	0.174601i
$317$	0.580119	+	0.155442i	0.0325827	+	0.00873051i	0.275074	−	0.961423i	$-0.411298\pi$
$317$	0.580119	+	0.155442i	0.0325827	+	0.00873051i	−0.242491	+	0.970154i	$0.577964\pi$
$318$	2.94484	+	5.10062i	0.165139	+	0.286029i
$319$	4.73885	−	4.73885i	0.265325	−	0.265325i
$320$	1.94546	+	1.10235i	0.108755	+	0.0616231i
$321$	2.68300	−	1.54903i	0.149750	−	0.0864584i
$322$	−2.31119	−	2.31119i	−0.128798	−	0.128798i
$323$	−24.3451	−	24.3451i	−1.35460	−	1.35460i
$324$	−0.376397	−	0.651939i	−0.0209110	−	0.0362189i
$325$	−12.7786	+	0.206570i	−0.708827	+	0.0114585i
$326$	15.1902	+	8.77009i	0.841310	+	0.485730i
$327$	5.20902			0.288059
$328$	8.25720	+	4.76730i	0.455928	+	0.263230i
$329$	5.35616	+	3.09238i	0.295295	+	0.170488i
$330$	2.94638	−	0.815058i	0.162193	−	0.0448675i
$331$	−2.38651	+	8.90659i	−0.131175	+	0.489550i	−0.999984	−	0.00559571i	$-0.998219\pi$
$331$	−2.38651	+	8.90659i	−0.131175	+	0.489550i	0.868810	+	0.495146i	$0.164885\pi$
$332$	−12.2821	+	12.2821i	−0.674068	+	0.674068i
$333$	−1.53084	−	10.4723i	−0.0838897	−	0.573881i
$334$		−	18.4500i		−	1.00954i
$335$	6.62504	−	25.5492i	0.361965	−	1.39590i
$336$	−1.14238	−	0.659553i	−0.0623219	−	0.0359816i
$337$	6.09542	+	22.7484i	0.332039	+	1.23919i	0.907044	+	0.421036i	$0.138333\pi$
$337$	6.09542	+	22.7484i	0.332039	+	1.23919i	−0.575005	+	0.818150i	$0.695000\pi$
$338$	3.23332	−	5.60027i	0.175869	−	0.304614i
$339$	−11.1702	+	11.1702i	−0.606681	+	0.606681i
$340$	6.59878	−	11.6458i	0.357869	−	0.631581i
$341$	−2.06421	−	2.06421i	−0.111783	−	0.111783i
$342$	−2.59008	+	9.66629i	−0.140055	+	0.522693i
$343$	10.4857	−	10.4857i	0.566174	−	0.566174i
$344$	−5.25996			−0.283598
$345$	6.75798	+	1.75238i	0.363837	+	0.0943451i
$346$	−7.81527	+	2.09410i	−0.420151	+	0.112579i
$347$	2.06721			0.110974			0.0554869	−	0.998459i	$-0.482329\pi$
$347$	2.06721			0.110974			0.0554869	+	0.998459i	$0.482329\pi$
$348$	5.34927	−	3.08840i	0.286751	−	0.165556i
$349$	27.1332	−	15.6654i	1.45241	−	0.838549i	0.453792	−	0.891108i	$-0.350071\pi$
$349$	27.1332	−	15.6654i	1.45241	−	0.838549i	0.998618	+	0.0525589i	$0.0167377\pi$
$350$	−1.42879	+	5.69926i	−0.0763721	+	0.304638i
$351$	3.51992	+	13.1365i	0.187880	+	0.701176i
$352$	1.05475	+	0.608962i	0.0562185	+	0.0324578i
$353$	3.27725	−	1.89212i	0.174430	−	0.100707i	−0.410243	−	0.911976i	$-0.634556\pi$
$353$	3.27725	−	1.89212i	0.174430	−	0.100707i	0.584673	+	0.811269i	$0.301223\pi$
$354$	0.571926	+	0.990605i	0.0303975	+	0.0526501i
$355$	−9.81771	+	5.77455i	−0.521070	+	0.306481i
$356$	4.14474	+	4.14474i	0.219671	+	0.219671i
$357$	−3.94816	+	6.83842i	−0.208959	+	0.361928i
$358$	−4.03193	+	15.0474i	−0.213094	+	0.795279i
$359$		−	11.7954i		−	0.622535i	−0.950322	−	0.311268i	$-0.899246\pi$
$359$		−	11.7954i		−	0.622535i	0.950322	−	0.311268i	$-0.100754\pi$
$360$	−3.89050	+	0.0314436i	−0.205047	+	0.00165722i
$361$	−12.1936	+	7.03995i	−0.641766	+	0.370524i
$362$	14.1086			0.741534
$363$	−10.3187	+	2.76488i	−0.541590	+	0.145119i
$364$	2.12392	+	2.12392i	0.111324	+	0.111324i
$365$	−5.00140	−	18.0797i	−0.261785	−	0.946336i
$366$	1.48440	−	2.57106i	0.0775910	−	0.134392i
$367$	13.9517	−	3.73836i	0.728275	−	0.195141i	0.124414	−	0.992230i	$-0.460295\pi$
$367$	13.9517	−	3.73836i	0.728275	−	0.195141i	0.603861	+	0.797090i	$0.293628\pi$
$368$	1.39071	+	2.40878i	0.0724959	+	0.125567i
$369$	−16.5896			−0.863621
$370$	12.6792	+	4.92313i	0.659162	+	0.255941i
$371$	−6.16567			−0.320106
$372$	−1.34528	−	2.33010i	−0.0697497	−	0.120810i
$373$	21.4766	−	5.75465i	1.11202	−	0.297964i	0.344369	−	0.938834i	$-0.388093\pi$
$373$	21.4766	−	5.75465i	1.11202	−	0.297964i	0.767649	+	0.640870i	$0.221426\pi$
$374$	3.64532	−	6.31387i	0.188495	−	0.326483i
$375$	−3.54117	−	12.0403i	−0.182865	−	0.621756i
$376$	−3.72155	−	3.72155i	−0.191924	−	0.191924i
$377$	−13.5857	+	3.64027i	−0.699697	+	0.187483i
$378$	6.25248			0.321593
$379$	−24.8895	+	14.3700i	−1.27849	+	0.738136i	−0.976571	−	0.215197i	$-0.930961\pi$
$379$	−24.8895	+	14.3700i	−1.27849	+	0.738136i	−0.301919	+	0.953334i	$0.597627\pi$
$380$	−9.16714	−	9.02015i	−0.470264	−	0.462724i
$381$		−	9.95894i		−	0.510212i
$382$	1.22190	−	4.56018i	0.0625176	−	0.233319i
$383$	−10.1538	+	17.5870i	−0.518837	+	0.898653i	0.480923	+	0.876763i	$0.340302\pi$
$383$	−10.1538	+	17.5870i	−0.518837	+	0.898653i	−0.999760	+	0.0218898i	$0.993032\pi$
$384$	0.793745	+	0.793745i	0.0405056	+	0.0405056i
$385$	−0.803285	+	3.09783i	−0.0409392	+	0.157880i
$386$	−2.66031	−	4.60780i	−0.135406	−	0.234531i
$387$	7.92587	−	4.57600i	0.402895	−	0.232611i
$388$	−7.02752	−	4.05734i	−0.356768	−	0.205980i
$389$	7.24911	+	27.0540i	0.367544	+	1.37169i	0.863939	+	0.503597i	$0.167990\pi$
$389$	7.24911	+	27.0540i	0.367544	+	1.37169i	−0.496394	+	0.868097i	$0.665343\pi$
$390$	−6.21038	−	1.61039i	−0.314475	−	0.0815451i
$391$	14.4193	−	8.32496i	0.729213	−	0.421012i
$392$	−4.86627	+	2.80954i	−0.245784	+	0.141903i
$393$	−15.7565			−0.794812
$394$	19.7938	−	5.30374i	0.997198	−	0.267198i
$395$	6.73070	−	25.9567i	0.338658	−	1.30602i
$396$	−2.11911			−0.106489
$397$	4.26700	−	4.26700i	0.214154	−	0.214154i	−0.591875	−	0.806030i	$-0.701612\pi$
$397$	4.26700	−	4.26700i	0.214154	−	0.214154i	0.806030	+	0.591875i	$0.201612\pi$
$398$	7.02422	−	26.2148i	0.352093	−	1.31403i
$399$	5.36472	+	5.36472i	0.268572	+	0.268572i
$400$	2.42968	−	4.36997i	0.121484	−	0.218498i
$401$	13.9165	−	13.9165i	0.694957	−	0.694957i	−0.268361	−	0.963318i	$-0.586482\pi$
$401$	13.9165	−	13.9165i	0.694957	−	0.694957i	0.963318	+	0.268361i	$0.0864821\pi$
$402$	6.62504	−	11.4749i	0.330427	−	0.572316i
$403$	1.58567	+	5.91780i	0.0789878	+	0.294787i
$404$	2.97333	+	1.71666i	0.147929	+	0.0854068i
$405$	−1.45093	+	0.853404i	−0.0720973	+	0.0424060i
$406$			6.46625i			0.320914i
$407$	6.88412	+	2.73722i	0.341233	+	0.135679i
$408$	4.75145	−	4.75145i	0.235232	−	0.235232i
$409$	2.96372	−	11.0608i	0.146547	−	0.546920i	−0.853135	−	0.521690i	$-0.825302\pi$
$409$	2.96372	−	11.0608i	0.146547	−	0.546920i	0.999682	−	0.0252295i	$-0.00803165\pi$
$410$	10.5104	−	18.5492i	0.519073	−	0.916080i
$411$	−5.55359	−	3.20637i	−0.273938	−	0.158158i
$412$	−1.74351	−	1.00661i	−0.0858965	−	0.0495923i
$413$	−1.19745			−0.0589228
$414$	−4.19114	−	2.41975i	−0.205983	−	0.118924i
$415$	27.6847	+	27.2408i	1.35899	+	1.33720i
$416$	−1.27802	−	2.21360i	−0.0626602	−	0.108531i
$417$	10.4497	+	10.4497i	0.511725	+	0.511725i
$418$	−4.95321	−	4.95321i	−0.242270	−	0.242270i
$419$	−2.86575	+	1.65454i	−0.140001	+	0.0808295i	−0.568364	−	0.822777i	$-0.692424\pi$
$419$	−2.86575	+	1.65454i	−0.140001	+	0.0808295i	0.428364	+	0.903606i	$0.359090\pi$
$420$	−1.45411	+	2.56627i	−0.0709534	+	0.125221i
$421$	−18.2118	+	18.2118i	−0.887588	+	0.887588i	−0.994291	−	0.106703i	$-0.965971\pi$
$421$	−18.2118	+	18.2118i	−0.887588	+	0.887588i	0.106703	+	0.994291i	$0.465971\pi$
$422$	2.70364	+	4.68284i	0.131611	+	0.227957i
$423$	8.84538	+	2.37011i	0.430077	+	0.115239i
$424$	5.06804	+	1.35798i	0.246126	+	0.0659492i
$425$	−26.1592	−	14.5444i	−1.26891	−	0.705506i
$426$	−5.52306	+	1.47990i	−0.267593	+	0.0717013i
$427$	1.55396	+	2.69154i	0.0752015	+	0.130253i
$428$	0.714316	−	2.66586i	0.0345278	−	0.128859i
$429$	−3.37542	−	0.904442i	−0.162967	−	0.0436669i
$430$	0.0950563	+	11.7612i	0.00458402	+	0.567177i
$431$	5.70595	+	21.2949i	0.274846	+	1.02574i	0.955945	+	0.293547i	$0.0948358\pi$
$431$	5.70595	+	21.2949i	0.274846	+	1.02574i	−0.681099	+	0.732192i	$0.738498\pi$
$432$	−5.13940	−	1.37710i	−0.247269	−	0.0662556i
$433$	−7.99507	+	7.99507i	−0.384219	+	0.384219i	−0.872619	−	0.488401i	$-0.837580\pi$
$433$	−7.99507	+	7.99507i	−0.384219	+	0.384219i	0.488401	+	0.872619i	$0.337580\pi$
$434$	2.81664			0.135203
$435$	−7.00232	−	11.9051i	−0.335736	−	0.570807i
$436$	3.28129	−	3.28129i	0.157146	−	0.157146i
$437$	−4.14043	−	15.4523i	−0.198064	−	0.739184i
$438$		−	9.41704i		−	0.449964i
$439$	20.5573	−	5.50831i	0.981146	−	0.262897i	0.267619	−	0.963525i	$-0.413763\pi$
$439$	20.5573	−	5.50831i	0.981146	−	0.262897i	0.713527	+	0.700628i	$0.247097\pi$
$440$	1.34257	−	2.36943i	0.0640047	−	0.112958i
$441$	4.88843	−	8.46701i	0.232782	−	0.403191i
$442$	−13.2509	+	7.65039i	−0.630280	+	0.363892i
$443$	−7.44446	−	7.44446i	−0.353697	−	0.353697i	0.507786	−	0.861483i	$-0.330464\pi$
$443$	−7.44446	−	7.44446i	−0.353697	−	0.353697i	−0.861483	+	0.507786i	$0.830464\pi$
$444$	5.47574	+	4.07903i	0.259867	+	0.193582i
$445$	9.19272	−	9.34253i	0.435777	−	0.442878i
$446$	−9.00013	−	2.41158i	−0.426169	−	0.114192i
$447$	1.75527	+	6.55076i	0.0830214	+	0.309840i
$448$	−1.13508	+	0.304145i	−0.0536277	+	0.0143695i
$449$	5.69808	+	21.2655i	0.268909	+	1.00358i	0.959814	+	0.280636i	$0.0905455\pi$
$449$	5.69808	+	21.2655i	0.268909	+	1.00358i	−0.690905	+	0.722945i	$0.742788\pi$
$450$	0.140616	+	8.69856i	0.00662868	+	0.410054i
$451$	5.80620	−	10.0566i	0.273403	−	0.473548i
$452$			14.0728i			0.661927i
$453$	−12.9677	−	3.47469i	−0.609277	−	0.163255i
$454$		−	18.6988i		−	0.877579i
$455$	4.71069	−	4.78745i	0.220840	−	0.224439i
$456$	−3.22811	−	5.59124i	−0.151170	−	0.261834i
$457$	11.8491	+	6.84106i	0.554276	+	0.320011i	0.750845	−	0.660479i	$-0.229647\pi$
$457$	11.8491	+	6.84106i	0.554276	+	0.320011i	−0.196569	+	0.980490i	$0.562980\pi$
$458$			7.86737i			0.367618i
$459$	−8.24347	+	30.7650i	−0.384772	+	1.43599i
$460$	5.36090	−	3.15316i	0.249953	−	0.147017i
$461$	5.21954	−	19.4796i	0.243098	−	0.907255i	−0.731232	−	0.682129i	$-0.761054\pi$
$461$	5.21954	−	19.4796i	0.243098	−	0.907255i	0.974330	−	0.225126i	$-0.0722792\pi$
$462$	−0.803285	+	1.39133i	−0.0373722	+	0.0647306i
$463$	−18.1126	+	31.3720i	−0.841764	+	1.45798i	0.0466378	+	0.998912i	$0.485149\pi$
$463$	−18.1126	+	31.3720i	−0.841764	+	1.45798i	−0.888402	+	0.459066i	$0.848184\pi$
$464$	1.42418	−	5.31511i	0.0661158	−	0.246748i
$465$	−5.18578	+	3.05016i	−0.240485	+	0.141448i
$466$	2.58645	−	9.65275i	0.119815	−	0.447155i
$467$		−	10.1557i		−	0.469951i	−0.972001	−	0.234976i	$-0.924499\pi$
$467$		−	10.1557i		−	0.469951i	0.972001	−	0.234976i	$-0.0755010\pi$
$468$	3.85153	+	2.22368i	0.178037	+	0.102790i
$469$	6.93549	+	12.0126i	0.320251	+	0.554691i
$470$	−8.25411	+	8.38862i	−0.380734	+	0.386938i
$471$			23.3772i			1.07716i
$472$	0.984278	+	0.263737i	0.0453051	+	0.0121395i
$473$			6.40622i			0.294559i
$474$	6.73070	−	11.6579i	0.309151	−	0.535466i
$475$	−20.0033	+	20.6607i	−0.917816	+	0.947977i
$476$	1.82065	+	6.79474i	0.0834492	+	0.311437i
$477$	−8.81809	+	2.36280i	−0.403752	+	0.108185i
$478$	1.36566	+	5.09670i	0.0624637	+	0.233118i
$479$	21.2431	+	5.69208i	0.970624	+	0.260078i	0.709091	−	0.705117i	$-0.249105\pi$
$479$	21.2431	+	5.69208i	0.970624	+	0.260078i	0.261533	+	0.965195i	$0.415772\pi$
$480$	1.76046	−	1.78915i	0.0803538	−	0.0816633i
$481$	−9.63974	−	12.1988i	−0.439534	−	0.556216i
$482$	17.8743	+	17.8743i	0.814152	+	0.814152i
$483$	−3.17744	+	1.83450i	−0.144579	+	0.0834725i
$484$	−4.75833	+	8.24167i	−0.216288	+	0.374621i
$485$	−8.94520	+	15.7868i	−0.406180	+	0.716843i
$486$	14.6020	−	3.91258i	0.662358	−	0.177478i
$487$		−	14.3643i		−	0.650907i	−0.945558	−	0.325454i	$-0.894483\pi$
$487$		−	14.3643i		−	0.650907i	0.945558	−	0.325454i	$-0.105517\pi$
$488$	−0.684514	−	2.55464i	−0.0309865	−	0.115643i
$489$	13.9224	−	13.9224i	0.629594	−	0.629594i
$490$	6.37006	+	10.8302i	0.287770	+	0.489257i
$491$	31.1003			1.40354			0.701769	−	0.712405i	$-0.252394\pi$
$491$	31.1003			1.40354			0.701769	+	0.712405i	$0.252394\pi$
$492$	7.56803	−	7.56803i	0.341193	−	0.341193i
$493$	−31.8169	−	8.52530i	−1.43296	−	0.383960i
$494$	3.80493	+	14.2002i	0.171192	+	0.638897i
$495$	0.0382959	+	4.73832i	0.00172127	+	0.212972i
$496$	−2.31522	−	0.620361i	−0.103956	−	0.0278550i
$497$	1.54925	−	5.78186i	0.0694932	−	0.259352i
$498$	9.74885	+	16.8855i	0.436856	+	0.756658i
$499$	−39.9401	+	10.7019i	−1.78796	+	0.479084i	−0.991998	−	0.126257i	$-0.959704\pi$
$499$	−39.9401	+	10.7019i	−1.78796	+	0.479084i	−0.795967	+	0.605340i	$0.793037\pi$
$500$	−9.81514	−	5.35379i	−0.438946	−	0.239429i
$501$	−20.0049	−	5.36029i	−0.893752	−	0.239480i
$502$	19.4085	+	5.20050i	0.866244	+	0.232109i
$503$	17.9163	+	31.0320i	0.798850	+	1.38365i	0.920366	+	0.391059i	$0.127891\pi$
$503$	17.9163	+	31.0320i	0.798850	+	1.38365i	−0.121516	+	0.992589i	$0.538776\pi$
$504$	1.44578	−	1.44578i	0.0644003	−	0.0644003i
$505$	3.78470	−	6.67938i	0.168417	−	0.297229i
$506$	2.93371	−	1.69378i	0.130419	−	0.0752977i
$507$	−5.13285	−	5.13285i	−0.227958	−	0.227958i
$508$	−6.27339	−	6.27339i	−0.278337	−	0.278337i
$509$	−18.7509	−	32.4776i	−0.831120	−	1.43954i	−0.897151	−	0.441725i	$-0.854367\pi$
$509$	−18.7509	−	32.4776i	−0.831120	−	1.43954i	0.0660305	−	0.997818i	$-0.478967\pi$
$510$	−10.7101	−	10.5383i	−0.474250	−	0.466646i
$511$	8.53756	+	4.92916i	0.377679	+	0.218053i
$512$	1.00000			0.0441942
$513$	26.5022	+	15.3010i	1.17010	+	0.675557i
$514$	−6.18360	−	3.57011i	−0.272747	−	0.157471i
$515$	−2.21928	+	3.91667i	−0.0977930	+	0.172589i
$516$	−1.52818	+	5.70324i	−0.0672743	+	0.251071i
$517$	−4.53256	+	4.53256i	−0.199342	+	0.199342i
$518$	−6.56424	+	2.82926i	−0.288416	+	0.124311i
$519$			9.08230i			0.398669i
$520$	−4.92650	+	2.89766i	−0.216041	+	0.127071i
$521$	−22.5052	−	12.9934i	−0.985970	−	0.569250i	−0.0819031	−	0.996640i	$-0.526100\pi$
$521$	−22.5052	−	12.9934i	−0.985970	−	0.569250i	−0.904067	+	0.427390i	$0.859433\pi$
$522$	2.47798	+	9.24796i	0.108458	+	0.404772i
$523$	5.41667	−	9.38195i	0.236855	−	0.410244i	−0.722955	−	0.690895i	$-0.757217\pi$
$523$	5.41667	−	9.38195i	0.236855	−	0.410244i	0.959810	+	0.280651i	$0.0905502\pi$
$524$	−9.92545	+	9.92545i	−0.433595	+	0.433595i
$525$	5.76445	+	3.20501i	0.251581	+	0.139878i
$526$	1.01586	+	1.01586i	0.0442936	+	0.0442936i
$527$	−3.71355	+	13.8592i	−0.161765	+	0.603715i
$528$	0.966720	−	0.966720i	0.0420711	−	0.0420711i
$529$	−15.2637			−0.663638
$530$	2.94484	−	11.3567i	0.127916	−	0.493302i
$531$	−1.71258	+	0.458886i	−0.0743198	+	0.0199139i
$532$	6.75875			0.293029
$533$	−21.1058	+	12.1854i	−0.914193	+	0.527809i
$534$	5.69822	−	3.28987i	0.246586	−	0.142367i
$535$	−5.97377	−	1.54903i	−0.258268	−	0.0669704i
$536$	−3.05506	−	11.4016i	−0.131958	−	0.492475i
$537$	15.1441	+	8.74345i	0.653516	+	0.377308i
$538$	−14.0943	+	8.13735i	−0.607649	+	0.350826i
$539$	3.42180	+	5.92674i	0.147388	+	0.255283i
$540$	−2.98631	+	11.5166i	−0.128510	+	0.495594i
$541$	16.4691	+	16.4691i	0.708064	+	0.708064i	0.966128	−	0.258064i	$-0.0830846\pi$
$541$	16.4691	+	16.4691i	0.708064	+	0.708064i	−0.258064	+	0.966128i	$0.583085\pi$
$542$	2.32149	−	4.02093i	0.0997164	−	0.172714i
$543$	4.09900	−	15.2977i	0.175905	−	0.656485i
$544$		−	5.98612i		−	0.256653i
$545$	−7.39626	−	7.27766i	−0.316821	−	0.311741i
$546$	2.91997	−	1.68585i	0.124963	−	0.0721476i
$547$	−9.78804			−0.418506			−0.209253	−	0.977861i	$-0.567103\pi$
$547$	−9.78804			−0.418506			−0.209253	+	0.977861i	$0.567103\pi$
$548$	−5.51812	+	1.47858i	−0.235722	+	0.0631616i
$549$	3.25391	+	3.25391i	0.138873	+	0.138873i
$550$	−5.32229	−	2.95917i	−0.226943	−	0.126179i
$551$	−15.8241	+	27.4082i	−0.674131	+	1.16763i
$552$	3.01583	−	0.808089i	0.128362	−	0.0343945i
$553$	7.04610	+	12.2042i	0.299631	+	0.518975i
$554$	−10.4474			−0.443868
$555$	9.02173	−	12.3175i	0.382951	−	0.522847i
$556$	13.1651			0.558324
$557$	15.5856	+	26.9950i	0.660383	+	1.14382i	0.980515	+	0.196443i	$0.0629392\pi$
$557$	15.5856	+	26.9950i	0.660383	+	1.14382i	−0.320133	+	0.947373i	$0.603727\pi$
$558$	4.02834	−	1.07939i	0.170533	−	0.0456942i
$559$	6.72235	−	11.6434i	0.284325	−	0.492465i
$560$	0.700579	+	2.53254i	0.0296049	+	0.107020i
$561$	−5.78690	−	5.78690i	−0.244323	−	0.244323i
$562$	−9.66505	+	2.58974i	−0.407696	+	0.109242i
$563$	−18.1010			−0.762866			−0.381433	−	0.924397i	$-0.624569\pi$
$563$	−18.1010			−0.762866			−0.381433	+	0.924397i	$0.624569\pi$
$564$	−5.11641	+	2.95396i	−0.215440	+	0.124384i
$565$	31.4666	−	0.254319i	1.32381	−	0.0106993i
$566$			22.2426i			0.934927i
$567$	0.228959	−	0.854485i	0.00961535	−	0.0358850i
$568$	−2.54689	+	4.41134i	−0.106865	+	0.185096i
$569$	−1.36824	−	1.36824i	−0.0573595	−	0.0573595i	0.677845	−	0.735205i	$-0.262914\pi$
$569$	−1.36824	−	1.36824i	−0.0573595	−	0.0573595i	−0.735205	+	0.677845i	$0.762914\pi$
$570$	−12.4437	+	7.31907i	−0.521207	+	0.306562i
$571$	10.9169	+	18.9085i	0.456856	+	0.791298i	0.998793	−	0.0491215i	$-0.0156421\pi$
$571$	10.9169	+	18.9085i	0.456856	+	0.791298i	−0.541937	+	0.840419i	$0.682309\pi$
$572$	−2.69600	+	1.55653i	−0.112725	+	0.0650819i
$573$	−4.58949	−	2.64974i	−0.191729	−	0.110695i
$574$	2.89990	+	10.8226i	0.121039	+	0.451725i
$575$	−7.14732	−	11.9300i	−0.298064	−	0.497513i
$576$	−1.50683	+	0.869970i	−0.0627846	+	0.0362487i
$577$	24.9799	−	14.4221i	1.03993	−	0.600402i	0.120114	−	0.992760i	$-0.461674\pi$
$577$	24.9799	−	14.4221i	1.03993	−	0.600402i	0.919812	+	0.392359i	$0.128341\pi$
$578$	−18.8336			−0.783375
$579$	−5.76902	+	1.54581i	−0.239752	+	0.0642415i
$580$	−11.9103	−	3.08840i	−0.494548	−	0.128239i
$581$	−20.4114			−0.846806
$582$	−6.44099	+	6.44099i	−0.266987	+	0.266987i
$583$	1.65391	−	6.17249i	0.0684981	−	0.255638i
$584$	−5.93204	−	5.93204i	−0.245469	−	0.245469i
$585$	4.90254	−	8.65219i	0.202695	−	0.357724i
$586$	21.4389	−	21.4389i	0.885632	−	0.885632i
$587$	−3.43481	+	5.94926i	−0.141770	+	0.245552i	−0.928163	−	0.372174i	$-0.878613\pi$
$587$	−3.43481	+	5.94926i	−0.141770	+	0.245552i	0.786393	+	0.617726i	$0.211946\pi$
$588$	1.63252	+	6.09263i	0.0673238	+	0.251256i
$589$	11.9388	+	6.89287i	0.491930	+	0.284016i
$590$	0.571926	−	2.20561i	0.0235458	−	0.0908034i
$591$		−	23.0029i		−	0.946211i
$592$	6.01880	−	0.879826i	0.247371	−	0.0361606i
$593$	29.5909	−	29.5909i	1.21515	−	1.21515i	0.245845	−	0.969309i	$-0.420934\pi$
$593$	29.5909	−	29.5909i	1.21515	−	1.21515i	0.969309	−	0.245845i	$-0.0790656\pi$
$594$	−1.67720	+	6.25939i	−0.0688163	+	0.256826i
$595$	15.1601	−	4.19375i	0.621504	−	0.171927i
$596$	5.23218	+	3.02080i	0.214318	+	0.123737i
$597$	−26.3833	−	15.2324i	−1.07980	−	0.623420i
$598$	−7.10945			−0.290727
$599$	23.9589	+	13.8326i	0.978932	+	0.565187i	0.901948	−	0.431846i	$-0.142137\pi$
$599$	23.9589	+	13.8326i	0.978932	+	0.565187i	0.0769846	+	0.997032i	$0.475471\pi$
$600$	−4.03235	−	3.90406i	−0.164620	−	0.159382i
$601$	−19.3400	−	33.4979i	−0.788896	−	1.36641i	−0.926644	−	0.375941i	$-0.877320\pi$
$601$	−19.3400	−	33.4979i	−0.788896	−	1.36641i	0.137748	−	0.990467i	$-0.456014\pi$
$602$	−4.37070	−	4.37070i	−0.178137	−	0.178137i
$603$	14.5225	+	14.5225i	0.591403	+	0.591403i
$604$	−10.3575	+	5.97991i	−0.421441	+	0.243319i
$605$	18.5143	+	10.4907i	0.752714	+	0.426506i
$606$	2.72517	−	2.72517i	0.110703	−	0.110703i
$607$	7.52838	+	13.0395i	0.305567	+	0.529258i	0.977387	−	0.211456i	$-0.0678206\pi$
$607$	7.52838	+	13.0395i	0.305567	+	0.529258i	−0.671820	+	0.740714i	$0.734487\pi$
$608$	−5.55553	−	1.48860i	−0.225307	−	0.0603707i
$609$	7.01119	+	1.87864i	0.284108	+	0.0761265i
$610$	−5.69980	+	1.57674i	−0.230778	+	0.0638402i
$611$	12.9943	−	3.48180i	0.525691	−	0.140859i
$612$	5.20774	+	9.02007i	0.210510	+	0.364615i
$613$	−4.39816	+	16.4142i	−0.177640	+	0.662962i	0.818447	+	0.574582i	$0.194835\pi$
$613$	−4.39816	+	16.4142i	−0.177640	+	0.662962i	−0.996087	+	0.0883795i	$0.971831\pi$
$614$	−2.35268	−	0.630400i	−0.0949466	−	0.0254409i
$615$	−17.0588	−	16.7853i	−0.687879	−	0.676849i
$616$	0.370425	+	1.38244i	0.0149248	+	0.0557003i
$617$	−5.91477	−	1.58486i	−0.238120	−	0.0638040i	0.137786	−	0.990462i	$-0.456002\pi$
$617$	−5.91477	−	1.58486i	−0.238120	−	0.0638040i	−0.375905	+	0.926658i	$0.622668\pi$
$618$	−1.59799	+	1.59799i	−0.0642806	+	0.0642806i
$619$	−41.0045			−1.64811			−0.824055	−	0.566510i	$-0.808293\pi$
$619$	−41.0045			−1.64811			−0.824055	+	0.566510i	$0.808293\pi$
$620$	−1.34528	+	5.18802i	−0.0540279	+	0.208356i
$621$	−10.4646	+	10.4646i	−0.419928	+	0.419928i
$622$	6.61505	+	24.6877i	0.265239	+	0.989887i
$623$			6.88806i			0.275964i
$624$	−2.77146	+	0.742610i	−0.110947	+	0.0297282i
$625$	−11.7937	+	22.0434i	−0.471747	+	0.881734i
$626$	4.40247	−	7.62529i	0.175958	−	0.304768i
$627$	−6.80971	+	3.93159i	−0.271954	+	0.157012i
$628$	14.7259	+	14.7259i	0.587627	+	0.587627i
$629$	−5.26674	−	36.0292i	−0.209999	−	1.43658i
$630$	−3.25889	−	3.20664i	−0.129837	−	0.127755i
$631$	38.4299	+	10.2973i	1.52987	+	0.409927i	0.922977	−	0.384856i	$-0.125749\pi$
$631$	38.4299	+	10.2973i	1.52987	+	0.409927i	0.606893	+	0.794783i	$0.292416\pi$
$632$	−3.10378	−	11.5835i	−0.123462	−	0.460765i
$633$	5.86297	−	1.57098i	0.233032	−	0.0624408i
$634$	−0.155442	−	0.580119i	−0.00617341	−	0.0230395i
$635$	−13.9139	+	14.1406i	−0.552156	+	0.561154i
$636$	2.94484	−	5.10062i	0.116771	−	0.202253i
$637$		−	14.3626i		−	0.569068i
$638$	−6.47339	−	1.73454i	−0.256284	−	0.0686711i
$639$		−	8.86286i		−	0.350609i
$640$	−0.0180717	−	2.23599i	−0.000714346	−	0.0883855i
$641$	−20.2149	−	35.0133i	−0.798442	−	1.38294i	−0.920630	−	0.390436i	$-0.872324\pi$
$641$	−20.2149	−	35.0133i	−0.798442	−	1.38294i	0.122188	−	0.992507i	$-0.461009\pi$
$642$	−2.68300	−	1.54903i	−0.105890	−	0.0611353i
$643$		−	40.2683i		−	1.58803i	−0.607901	−	0.794013i	$-0.707988\pi$
$643$		−	40.2683i		−	1.58803i	0.607901	−	0.794013i	$-0.292012\pi$
$644$	−0.845955	+	3.15715i	−0.0333353	+	0.124409i
$645$	12.7800	+	3.31393i	0.503213	+	0.130486i
$646$	−8.91094	+	33.2561i	−0.350596	+	1.30844i
$647$	−4.40199	+	7.62448i	−0.173060	+	0.299749i	−0.939488	−	0.342581i	$-0.888699\pi$
$647$	−4.40199	+	7.62448i	−0.173060	+	0.299749i	0.766428	+	0.642330i	$0.222032\pi$
$648$	−0.376397	+	0.651939i	−0.0147863	+	0.0256106i
$649$	0.321211	−	1.19878i	0.0126086	−	0.0470560i
$650$	6.56817	+	10.9633i	0.257625	+	0.430015i
$651$	0.818322	−	3.05402i	0.0320726	−	0.119696i
$652$		−	17.5402i		−	0.686927i
$653$	41.2518	+	23.8168i	1.61431	+	0.932022i	0.988356	+	0.152161i	$0.0486231\pi$
$653$	41.2518	+	23.8168i	1.61431	+	0.932022i	0.625953	+	0.779861i	$0.284710\pi$
$654$	−2.60451	−	4.51114i	−0.101844	−	0.176400i
$655$	22.3726	+	22.0139i	0.874171	+	0.860154i
$656$		−	9.53459i		−	0.372263i
$657$	14.0993	+	3.77789i	0.550065	+	0.147389i
$658$		−	6.18476i		−	0.241107i
$659$	0.621788	−	1.07697i	0.0242214	−	0.0419528i	−0.853661	−	0.520830i	$-0.825623\pi$
$659$	0.621788	−	1.07697i	0.0242214	−	0.0419528i	0.877882	+	0.478877i	$0.158956\pi$
$660$	−2.17905	−	2.14411i	−0.0848195	−	0.0834594i
$661$	9.85964	+	36.7967i	0.383495	+	1.43122i	0.840525	+	0.541773i	$0.182247\pi$
$661$	9.85964	+	36.7967i	0.383495	+	1.43122i	−0.457030	+	0.889451i	$0.651087\pi$
$662$	8.90659	−	2.38651i	0.346164	−	0.0927545i
$663$	4.44535	+	16.5903i	0.172643	+	0.644313i
$664$	16.7777	+	4.49556i	0.651100	+	0.174462i
$665$	−0.122142	−	15.1125i	−0.00473646	−	0.586039i
$666$	−8.30389	+	6.56192i	−0.321769	+	0.254269i
$667$	−10.8223	−	10.8223i	−0.419042	−	0.419042i
$668$	−15.9782	+	9.22500i	−0.618214	+	0.356926i
$669$	−5.22963	+	9.05798i	−0.202189	+	0.350202i
$670$	−25.4388	+	7.03714i	−0.982785	+	0.271868i
$671$	−3.11136	+	0.833686i	−0.120113	+	0.0321841i
$672$			1.31911i			0.0508856i
$673$	−0.739996	−	2.76170i	−0.0285248	−	0.106456i	0.950196	−	0.311654i	$-0.100883\pi$
$673$	−0.739996	−	2.76170i	−0.0285248	−	0.106456i	−0.978721	+	0.205198i	$0.934216\pi$
$674$	16.6530	−	16.6530i	0.641450	−	0.641450i
$675$	25.8049	+	6.46924i	0.993232	+	0.249001i
$676$	−6.46663			−0.248717
$677$	12.5546	−	12.5546i	0.482511	−	0.482511i	−0.423422	−	0.905933i	$-0.639171\pi$
$677$	12.5546	−	12.5546i	0.482511	−	0.482511i	0.905933	+	0.423422i	$0.139171\pi$
$678$	15.2588	+	4.08857i	0.586009	+	0.157021i
$679$	−2.46804	−	9.21084i	−0.0947146	−	0.353480i
$680$	−13.3849	+	0.108179i	−0.513289	+	0.00414848i
$681$	−20.2747	−	5.43258i	−0.776927	−	0.208177i
$682$	−0.755552	+	2.81976i	−0.0289316	+	0.107974i
$683$	0.0575981	+	0.0997628i	0.00220393	+	0.00381732i	0.867125	−	0.498090i	$-0.165965\pi$
$683$	0.0575981	+	0.0997628i	0.00220393	+	0.00381732i	−0.864921	+	0.501907i	$0.832632\pi$
$684$	9.66629	−	2.59008i	0.369600	−	0.0990340i
$685$	3.40581	+	12.3118i	0.130129	+	0.470409i
$686$	−14.3237	−	3.83803i	−0.546882	−	0.146537i
$687$	8.53040	+	2.28571i	0.325455	+	0.0872054i
$688$	2.62998	+	4.55526i	0.100267	+	0.173668i
$689$	−9.48309	+	9.48309i	−0.361277	+	0.361277i
$690$	−1.86138	−	6.72877i	−0.0708617	−	0.256160i
$691$	23.9338	−	13.8182i	0.910486	−	0.525669i	0.0298983	−	0.999553i	$-0.490482\pi$
$691$	23.9338	−	13.8182i	0.910486	−	0.525669i	0.880587	+	0.473884i	$0.157148\pi$
$692$	5.72117	+	5.72117i	0.217486	+	0.217486i
$693$	−1.76085	−	1.76085i	−0.0668893	−	0.0668893i
$694$	−1.03361	−	1.79026i	−0.0392352	−	0.0679573i
$695$	−0.237915	−	29.4371i	−0.00902464	−	1.11661i
$696$	−5.34927	−	3.08840i	−0.202764	−	0.117066i
$697$	−57.0752			−2.16188
$698$	−27.1332	−	15.6654i	−1.02701	−	0.592944i
$699$	−9.71479	−	5.60884i	−0.367447	−	0.212146i
$700$	5.65010	−	1.61226i	0.213554	−	0.0609376i
$701$	12.4476	−	46.4551i	0.470139	−	1.75458i	−0.169122	−	0.985595i	$-0.554093\pi$
$701$	12.4476	−	46.4551i	0.470139	−	1.75458i	0.639262	−	0.768989i	$-0.279240\pi$
$702$	9.61661	−	9.61661i	0.362956	−	0.362956i
$703$	−34.7473	−	4.07168i	−1.31052	−	0.153566i
$704$		−	1.21792i		−	0.0459022i
$705$	6.69750	+	11.3869i	0.252243	+	0.428855i
$706$	−3.27725	−	1.89212i	−0.123341	−	0.0712108i
$707$	1.04422	+	3.89710i	0.0392721	+	0.146565i
$708$	0.571926	−	0.990605i	0.0214943	−	0.0372292i
$709$	3.22825	−	3.22825i	0.121239	−	0.121239i	−0.643884	−	0.765123i	$-0.722678\pi$
$709$	3.22825	−	3.22825i	0.121239	−	0.121239i	0.765123	+	0.643884i	$0.222678\pi$
$710$	9.90976	+	5.61511i	0.371907	+	0.210731i
$711$	14.7541	+	14.7541i	0.553323	+	0.553323i
$712$	1.51708	−	5.66183i	0.0568550	−	0.212186i
$713$	−4.71411	+	4.71411i	−0.176545	+	0.176545i
$714$	7.89633			0.295513
$715$	3.52912	+	6.00010i	0.131982	+	0.224391i
$716$	15.0474	−	4.03193i	0.562347	−	0.150680i
$717$	5.92299			0.221198
$718$	−10.2151	+	5.89768i	−0.381223	+	0.220099i
$719$	19.6463	−	11.3428i	0.732682	−	0.423014i	−0.0867206	−	0.996233i	$-0.527639\pi$
$719$	19.6463	−	11.3428i	0.732682	−	0.423014i	0.819402	+	0.573219i	$0.194305\pi$
$720$	1.97248	+	3.35355i	0.0735099	+	0.124979i
$721$	−0.612313	−	2.28518i	−0.0228037	−	0.0851047i
$722$	12.1936	+	7.03995i	0.453797	+	0.262000i
$723$	24.5737	−	14.1876i	0.913905	−	0.527643i
$724$	−7.05432	−	12.2184i	−0.262172	−	0.454095i
$725$	−6.69042	+	26.6872i	−0.248476	+	0.991136i
$726$	7.55380	+	7.55380i	0.280348	+	0.280348i
$727$	17.7121	−	30.6783i	0.656907	−	1.13780i	−0.324505	−	0.945884i	$-0.605198\pi$
$727$	17.7121	−	30.6783i	0.656907	−	1.13780i	0.981412	−	0.191912i	$-0.0614689\pi$
$728$	0.777408	−	2.90133i	0.0288126	−	0.107530i
$729$		−	19.2277i		−	0.712135i
$730$	−13.1568	+	13.3712i	−0.486955	+	0.494891i
$731$	27.2683	−	15.7434i	1.00855	−	0.582289i
$732$	−2.96881			−0.109730
$733$	−24.4644	+	6.55522i	−0.903614	+	0.242123i	−0.680568	−	0.732685i	$-0.738267\pi$
$733$	−24.4644	+	6.55522i	−0.903614	+	0.242123i	−0.223047	+	0.974808i	$0.571600\pi$
$734$	−10.2134	−	10.2134i	−0.376983	−	0.376983i
$735$	13.5936	−	3.76040i	0.501407	−	0.138704i
$736$	1.39071	−	2.40878i	0.0512623	−	0.0887889i
$737$	−13.8863	+	3.72082i	−0.511508	+	0.137058i
$738$	8.29480	+	14.3670i	0.305336	+	0.528857i
$739$	−30.1256			−1.10819			−0.554094	−	0.832454i	$-0.686935\pi$
$739$	−30.1256			−1.10819			−0.554094	+	0.832454i	$0.686935\pi$
$740$	−2.07606	−	13.4421i	−0.0763174	−	0.494141i
$741$	16.5024			0.606230
$742$	3.08284	+	5.33963i	0.113175	+	0.196024i
$743$	37.3562	−	10.0096i	1.37047	−	0.367215i	0.502817	−	0.864393i	$-0.332297\pi$
$743$	37.3562	−	10.0096i	1.37047	−	0.367215i	0.867649	+	0.497178i	$0.165630\pi$
$744$	−1.34528	+	2.33010i	−0.0493205	+	0.0854256i
$745$	6.65994	−	11.7537i	0.244001	−	0.430623i
$746$	−15.7220	−	15.7220i	−0.575623	−	0.575623i
$747$	−29.1921	+	7.82200i	−1.06808	+	0.286192i
$748$	−7.29063			−0.266572
$749$	2.80872	−	1.62162i	0.102628	−	0.0592526i
$750$	−8.65658	+	9.08687i	−0.316094	+	0.331806i
$751$			21.9359i			0.800452i	0.916416	+	0.400226i	$0.131068\pi$
$751$			21.9359i			0.800452i	−0.916416	+	0.400226i	$0.868932\pi$
$752$	−1.36218	+	5.08373i	−0.0496737	+	0.185385i
$753$	11.2775	−	19.5333i	0.410976	−	0.711832i
$754$	9.94539	+	9.94539i	0.362190	+	0.362190i
$755$	13.5582	+	23.0513i	0.493434	+	0.838921i
$756$	−3.12624	−	5.41481i	−0.113700	−	0.196935i
$757$	32.6038	−	18.8238i	1.18501	−	0.684163i	0.227838	−	0.973699i	$-0.426834\pi$
$757$	32.6038	−	18.8238i	1.18501	−	0.684163i	0.957167	+	0.289536i	$0.0935009\pi$
$758$	24.8895	+	14.3700i	0.904029	+	0.521941i
$759$	−0.984190	−	3.67305i	−0.0357238	−	0.133323i
$760$	−3.22811	+	12.4490i	−0.117096	+	0.451574i
$761$	−14.3452	+	8.28219i	−0.520012	+	0.300229i	−0.736940	−	0.675959i	$-0.763730\pi$
$761$	−14.3452	+	8.28219i	−0.520012	+	0.300229i	0.216927	+	0.976188i	$0.430396\pi$
$762$	−8.62469	+	4.97947i	−0.312440	+	0.180387i
$763$	5.45311			0.197416
$764$	−4.56018	+	1.22190i	−0.164981	+	0.0442066i
$765$	20.0747	−	11.8075i	0.725803	−	0.426901i
$766$	20.3077			0.733747
$767$	−1.84174	+	1.84174i	−0.0665013	+	0.0665013i
$768$	0.290531	−	1.08428i	0.0104836	−	0.0391254i
$769$	27.7261	+	27.7261i	0.999827	+	0.999827i	1.00000		0.000172997i	$-5.50666e-5\pi$
$769$	27.7261	+	27.7261i	0.999827	+	0.999827i	−0.000172997		1.00000i	$0.500055\pi$
$770$	3.08445	−	0.853251i	0.111156	−	0.0307490i
$771$	−5.66750	+	5.66750i	−0.204110	+	0.204110i
$772$	−2.66031	+	4.60780i	−0.0957468	+	0.165838i
$773$	−8.96576	−	33.4607i	−0.322476	−	1.20350i	−0.916825	−	0.399290i	$-0.869257\pi$
$773$	−8.96576	−	33.4607i	−0.322476	−	1.20350i	0.594349	−	0.804207i	$-0.297410\pi$
$774$	−7.92587	−	4.57600i	−0.284889	−	0.164481i
$775$	11.6247	+	2.91429i	0.417572	+	0.104684i
$776$			8.11468i			0.291300i
$777$	1.16058	+	7.93943i	0.0416357	+	0.284826i
$778$	19.8049	−	19.8049i	0.710041	−	0.710041i
$779$	−14.1932	+	52.9698i	−0.508524	+	1.89784i
$780$	1.71056	+	6.18354i	0.0612477	+	0.221406i
$781$	5.37268	+	3.10192i	0.192249	+	0.110995i
$782$	−14.4193	−	8.32496i	−0.515632	−	0.297700i
$783$	29.2777			1.04630
$784$	4.86627	+	2.80954i	0.173795	+	0.100341i
$785$	32.6609	−	33.1932i	1.16572	−	1.18471i
$786$	7.87827	+	13.6456i	0.281009	+	0.486721i
$787$	−34.9771	−	34.9771i	−1.24680	−	1.24680i	−0.957125	−	0.289675i	$-0.906453\pi$
$787$	−34.9771	−	34.9771i	−1.24680	−	1.24680i	−0.289675	−	0.957125i	$-0.593547\pi$
$788$	−14.4901	−	14.4901i	−0.516188	−	0.516188i
$789$	1.39661	−	0.806333i	0.0497206	−	0.0287062i
$790$	−25.8445	+	7.14937i	−0.919505	+	0.254363i
$791$	−11.6936	+	11.6936i	−0.415777	+	0.415777i
$792$	1.05956	+	1.83521i	0.0376497	+	0.0652112i
$793$	6.52978	+	1.74965i	0.231879	+	0.0621319i
$794$	−5.82883	−	1.56183i	−0.206857	−	0.0554272i
$795$	−11.4582	−	6.49248i	−0.406380	−	0.230265i
$796$	−26.2148	+	7.02422i	−0.929158	+	0.248967i
$797$	−13.6903	−	23.7124i	−0.484937	−	0.839936i	0.514913	−	0.857242i	$-0.327824\pi$
$797$	−13.6903	−	23.7124i	−0.484937	−	0.839936i	−0.999850	+	0.0173068i	$0.994491\pi$
$798$	1.96362	−	7.32834i	0.0695115	−	0.259420i
$799$	30.4318	+	8.15418i	1.07660	+	0.288474i
$800$	−4.99935	+	0.0808164i	−0.176754	+	0.00285729i
$801$	2.63963	+	9.85123i	0.0932667	+	0.348076i
$802$	−19.0103	−	5.09379i	−0.671277	−	0.179868i
$803$	−7.22477	+	7.22477i	−0.254956	+	0.254956i
$804$	−13.2501			−0.467294
$805$	7.07466	+	1.83450i	0.249349	+	0.0646575i
$806$	4.33213	−	4.33213i	0.152593	−	0.152593i
$807$	4.72830	+	17.6463i	0.166444	+	0.621178i
$808$		−	3.43331i		−	0.120783i
$809$	−22.4939	+	6.02723i	−0.790845	+	0.211906i	−0.631561	−	0.775327i	$-0.717585\pi$
$809$	−22.4939	+	6.02723i	−0.790845	+	0.211906i	−0.159284	+	0.987233i	$0.550919\pi$
$810$	1.46454	+	0.829841i	0.0514585	+	0.0291576i
$811$	−12.6834	+	21.9683i	−0.445375	+	0.771412i	−0.998078	−	0.0619664i	$-0.980263\pi$
$811$	−12.6834	+	21.9683i	−0.445375	+	0.771412i	0.552704	+	0.833378i	$0.313596\pi$
$812$	5.59993	−	3.23312i	0.196519	−	0.113460i
$813$	−3.68533	−	3.68533i	−0.129250	−	0.129250i
$814$	−1.07156	−	7.33043i	−0.0375582	−	0.256931i
$815$	−39.2198	+	0.316981i	−1.37381	+	0.0111033i
$816$	−6.49060	−	1.73915i	−0.227216	−	0.0608825i
$817$	−7.82998	−	29.2219i	−0.273936	−	1.02234i
$818$	−11.0608	+	2.96372i	−0.386731	+	0.103624i
$819$	1.35264	+	5.04813i	0.0472651	+	0.176396i
$820$	−21.3193	+	0.172306i	−0.744502	+	0.00601719i
$821$	−17.8001	+	30.8307i	−0.621228	+	1.07600i	0.368030	+	0.929814i	$0.380032\pi$
$821$	−17.8001	+	30.8307i	−0.621228	+	1.07600i	−0.989257	+	0.146184i	$0.953301\pi$
$822$			6.41273i			0.223670i
$823$	−37.1585	−	9.95659i	−1.29526	−	0.347065i	−0.455606	−	0.890182i	$-0.650577\pi$
$823$	−37.1585	−	9.95659i	−1.29526	−	0.347065i	−0.839657	+	0.543117i	$0.817244\pi$
$824$			2.01323i			0.0701342i
$825$	−4.75484	+	4.91110i	−0.165542	+	0.170982i
$826$	0.598726	+	1.03702i	0.0208323	+	0.0360827i
$827$	−29.0772	−	16.7878i	−1.01111	−	0.583767i	−0.0995970	−	0.995028i	$-0.531755\pi$
$827$	−29.0772	−	16.7878i	−1.01111	−	0.583767i	−0.911518	+	0.411260i	$0.865089\pi$
$828$			4.83951i			0.168185i
$829$	5.93589	−	22.1530i	0.206162	−	0.769407i	−0.782930	−	0.622109i	$-0.786276\pi$
$829$	5.93589	−	22.1530i	0.206162	−	0.769407i	0.989092	−	0.147297i	$-0.0470575\pi$
$830$	9.74885	−	37.5960i	0.338388	−	1.30498i
$831$	−3.03529	+	11.3279i	−0.105293	+	0.392960i
$832$	−1.27802	+	2.21360i	−0.0443075	+	0.0767428i
$833$	16.8182	−	29.1300i	0.582717	−	1.00930i
$834$	3.82486	−	14.2746i	0.132444	−	0.494288i
$835$	20.9158	+	35.5604i	0.723821	+	1.23062i
$836$	−1.81300	+	6.76622i	−0.0627040	+	0.234014i
$837$		−	12.7531i		−	0.440812i
$838$	2.86575	+	1.65454i	0.0989955	+	0.0571551i
$839$	−4.80040	−	8.31453i	−0.165728	−	0.287050i	0.771185	−	0.636611i	$-0.219664\pi$
$839$	−4.80040	−	8.31453i	−0.165728	−	0.287050i	−0.936914	+	0.349561i	$0.886331\pi$
$840$	2.94952	−	0.0238385i	0.101768	−	0.000822505i
$841$			1.27865i			0.0440914i
$842$	24.8778	+	6.66598i	0.857344	+	0.229725i
$843$			11.2320i			0.386850i
$844$	2.70364	−	4.68284i	0.0930630	−	0.161190i
$845$	0.116863	+	14.4594i	0.00402021	+	0.497417i
$846$	−2.37011	−	8.84538i	−0.0814862	−	0.304111i
$847$	−10.8022	+	2.89444i	−0.371168	+	0.0994542i
$848$	−1.35798	−	5.06804i	−0.0466332	−	0.174037i
$849$	24.1171	+	6.46216i	0.827697	+	0.221781i
$850$	0.483776	+	29.9267i	0.0165934	+	1.02648i
$851$	6.25110	−	15.7216i	0.214285	−	0.538928i
$852$	4.04316	+	4.04316i	0.138516	+	0.138516i
$853$	28.5619	−	16.4902i	0.977939	−	0.564614i	0.0762921	−	0.997086i	$-0.475692\pi$
$853$	28.5619	−	16.4902i	0.977939	−	0.564614i	0.901647	+	0.432472i	$0.142359\pi$
$854$	1.55396	−	2.69154i	0.0531755	−	0.0921027i
$855$	−5.96608	−	21.5670i	−0.204036	−	0.737575i
$856$	−2.66586	+	0.714316i	−0.0911173	+	0.0244148i
$857$		−	17.2326i		−	0.588656i	−0.955705	−	0.294328i	$-0.904904\pi$
$857$		−	17.2326i		−	0.588656i	0.955705	−	0.294328i	$-0.0950958\pi$
$858$	0.904442	+	3.37542i	0.0308771	+	0.115235i
$859$	3.66697	−	3.66697i	0.125115	−	0.125115i	−0.641776	−	0.766892i	$-0.721802\pi$
$859$	3.66697	−	3.66697i	0.125115	−	0.125115i	0.766892	+	0.641776i	$0.221802\pi$
$860$	10.1380	−	5.96294i	0.345703	−	0.203335i
$861$	12.5771			0.428628
$862$	15.5889	−	15.5889i	0.530962	−	0.530962i
$863$	−2.90337	−	0.777957i	−0.0988320	−	0.0264820i	0.209064	−	0.977902i	$-0.432958\pi$
$863$	−2.90337	−	0.777957i	−0.0988320	−	0.0264820i	−0.307896	+	0.951420i	$0.599625\pi$
$864$	1.37710	+	5.13940i	0.0468498	+	0.174846i
$865$	12.6891	−	12.8959i	0.431443	−	0.438474i
$866$	10.9215	+	2.92640i	0.371127	+	0.0994431i
$867$	−5.47174	+	20.4208i	−0.185830	+	0.693527i
$868$	−1.40832	−	2.43929i	−0.0478016	−	0.0827947i
$869$	−14.1078	+	3.78017i	−0.478573	+	0.128233i
$870$	−6.80898	+	12.0168i	−0.230846	+	0.407406i
$871$	29.1431	+	7.80886i	0.987475	+	0.264593i
$872$	−4.48233	−	1.20104i	−0.151791	−	0.0406723i
$873$	−7.05953	−	12.2275i	−0.238929	−	0.413837i
$874$	−11.3119	+	11.3119i	−0.382630	+	0.382630i
$875$	−3.70711	−	12.6045i	−0.125323	−	0.426108i
$876$	−8.15540	+	4.70852i	−0.275545	+	0.159086i
$877$	−14.8433	−	14.8433i	−0.501221	−	0.501221i	0.410596	−	0.911817i	$-0.365321\pi$
$877$	−14.8433	−	14.8433i	−0.501221	−	0.501221i	−0.911817	+	0.410596i	$0.865321\pi$
$878$	−15.0490	−	15.0490i	−0.507878	−	0.507878i
$879$	−17.0170	−	29.4743i	−0.573969	−	0.994144i
$880$	−2.72327	+	0.0220099i	−0.0918014	+	0.000741954i
$881$	−32.9469	−	19.0219i	−1.11001	−	0.640865i	−0.171178	−	0.985240i	$-0.554757\pi$
$881$	−32.9469	−	19.0219i	−1.11001	−	0.640865i	−0.938832	+	0.344375i	$0.888091\pi$
$882$	−9.77686			−0.329204
$883$	17.2976	+	9.98680i	0.582112	+	0.336083i	0.761972	−	0.647610i	$-0.224231\pi$
$883$	17.2976	+	9.98680i	0.582112	+	0.336083i	−0.179860	+	0.983692i	$0.557565\pi$
$884$	13.2509	+	7.65039i	0.445675	+	0.257311i
$885$	−2.22532	−	1.26092i	−0.0748034	−	0.0423854i
$886$	−2.72486	+	10.1693i	−0.0915436	+	0.341645i
$887$	5.33741	−	5.33741i	0.179213	−	0.179213i	−0.611800	−	0.791013i	$-0.709554\pi$
$887$	5.33741	−	5.33741i	0.179213	−	0.179213i	0.791013	+	0.611800i	$0.209554\pi$
$888$	0.794671	−	6.78165i	0.0266674	−	0.227577i
$889$		−	10.4256i		−	0.349664i
$890$	−12.6872	−	3.28987i	−0.425277	−	0.110277i
$891$	0.794012	+	0.458423i	0.0266004	+	0.0153578i
$892$	2.41158	+	9.00013i	0.0807456	+	0.301347i
$893$	15.1353	−	26.2151i	0.506483	−	0.877255i
$894$	4.79549	−	4.79549i	0.160385	−	0.160385i
$895$	−9.28731	−	33.5730i	−0.310441	−	1.12222i
$896$	0.830939	+	0.830939i	0.0277597	+	0.0277597i
$897$	−2.06551	+	7.70860i	−0.0689654	+	0.257383i
$898$	15.5674	−	15.5674i	0.519492	−	0.519492i
$899$	13.1891			0.439882
$900$	7.46287	−	4.47106i	0.248762	−	0.149035i
$901$	−30.3379	+	8.12902i	−1.01070	+	0.270817i
$902$	−11.6124			−0.386651
$903$	−6.00887	+	3.46922i	−0.199963	+	0.115448i
$904$	12.1874	−	7.03638i	0.405346	−	0.234027i
$905$	−27.1929	+	15.9942i	−0.903923	+	0.531667i
$906$	3.47469	+	12.9677i	0.115439	+	0.430824i
$907$	−25.2708	−	14.5901i	−0.839105	−	0.484457i	0.0178551	−	0.999841i	$-0.494316\pi$
$907$	−25.2708	−	14.5901i	−0.839105	−	0.484457i	−0.856960	+	0.515383i	$0.827650\pi$
$908$	−16.1937	+	9.34941i	−0.537405	+	0.310271i
$909$	2.98688	+	5.17342i	0.0990684	+	0.171592i
$910$	−6.50140	−	1.68585i	−0.215519	−	0.0558853i
$911$	−1.68166	−	1.68166i	−0.0557159	−	0.0557159i	0.678700	−	0.734416i	$-0.262544\pi$
$911$	−1.68166	−	1.68166i	−0.0557159	−	0.0557159i	−0.734416	+	0.678700i	$0.762544\pi$
$912$	−3.22811	+	5.59124i	−0.106893	+	0.185145i
$913$	5.47525	−	20.4339i	0.181204	−	0.676264i
$914$		−	13.6821i		−	0.452565i
$915$	0.0536514	+	6.63824i	0.00177366	+	0.219453i
$916$	6.81335	−	3.93369i	0.225119	−	0.129973i
$917$	−16.4949			−0.544709
$918$	30.7650	−	8.24347i	1.01540	−	0.272075i
$919$	16.1247	+	16.1247i	0.531906	+	0.531906i	0.921139	−	0.389233i	$-0.127260\pi$
$919$	16.1247	+	16.1247i	0.531906	+	0.531906i	−0.389233	+	0.921139i	$0.627260\pi$
$920$	−5.41116	−	3.06609i	−0.178401	−	0.101086i
$921$	−1.36705	+	2.36781i	−0.0450459	+	0.0780219i
$922$	−19.4796	+	5.21954i	−0.641526	+	0.171896i
$923$	−6.50996	−	11.2756i	−0.214278	−	0.371141i
$924$	1.60657			0.0528523
$925$	−30.0189	+	4.88497i	−0.987017	+	0.160617i
$926$	36.2252			1.19043
$927$	−1.75145	−	3.03360i	−0.0575251	−	0.0996364i
$928$	−5.31511	+	1.42418i	−0.174477	+	0.0467510i
$929$	3.42693	−	5.93562i	0.112434	−	0.194741i	−0.804317	−	0.594200i	$-0.797469\pi$
$929$	3.42693	−	5.93562i	0.112434	−	0.194741i	0.916751	+	0.399459i	$0.130802\pi$
$930$	5.23440	+	2.96594i	0.171643	+	0.0972569i
$931$	−22.8524	−	22.8524i	−0.748958	−	0.748958i
$932$	−9.65275	+	2.58645i	−0.316186	+	0.0847218i
$933$	28.6902			0.939273
$934$	−8.79512	+	5.07787i	−0.287785	+	0.166153i
$935$	0.131754	+	16.3018i	0.00430882	+	0.533126i
$936$		−	4.44736i		−	0.145367i
$937$	−2.41568	+	9.01544i	−0.0789168	+	0.294522i	−0.994093	−	0.108533i	$-0.965385\pi$
$937$	−2.41568	+	9.01544i	−0.0789168	+	0.294522i	0.915176	+	0.403054i	$0.132051\pi$
$938$	6.93549	−	12.0126i	0.226452	−	0.392226i
$939$	−6.98887	−	6.98887i	−0.228073	−	0.228073i
$940$	11.3918	+	2.95396i	0.371560	+	0.0963476i
$941$	−17.4423	−	30.2110i	−0.568604	−	0.984851i	−0.996704	−	0.0811197i	$-0.974150\pi$
$941$	−17.4423	−	30.2110i	−0.568604	−	0.984851i	0.428100	−	0.903731i	$-0.359183\pi$
$942$	20.2453	−	11.6886i	0.659626	−	0.380835i
$943$	−22.9668	−	13.2599i	−0.747901	−	0.431801i
$944$	−0.263737	−	0.984278i	−0.00858389	−	0.0320355i
$945$	−12.0510	+	7.08812i	−0.392019	+	0.230576i
$946$	5.54795	−	3.20311i	0.180380	−	0.104142i
$947$	21.4945	−	12.4099i	0.698479	−	0.403267i	−0.108302	−	0.994118i	$-0.534541\pi$
$947$	21.4945	−	12.4099i	0.698479	−	0.403267i	0.806781	+	0.590851i	$0.201208\pi$
$948$	−13.4614			−0.437206
$949$	20.7124	−	5.54988i	0.672354	−	0.180157i
$950$	27.8943	+	6.99305i	0.905012	+	0.226885i
$951$	−0.674169			−0.0218614
$952$	4.97410	−	4.97410i	0.161211	−	0.161211i
$953$	2.56695	−	9.57998i	0.0831516	−	0.310326i	−0.911806	−	0.410621i	$-0.865312\pi$
$953$	2.56695	−	9.57998i	0.0831516	−	0.310326i	0.994958	+	0.100295i	$0.0319786\pi$
$954$	6.45529	+	6.45529i	0.208998	+	0.208998i
$955$	2.81456	+	10.1745i	0.0910771	+	0.329237i
$956$	3.73104	−	3.73104i	0.120671	−	0.120671i
$957$	−3.76144	+	6.51500i	−0.121590	+	0.210600i
$958$	−5.69208	−	21.2431i	−0.183903	−	0.686335i
$959$	−5.81383	−	3.35661i	−0.187738	−	0.108391i
$960$	−2.42968	−	0.630030i	−0.0784177	−	0.0203341i
$961$			25.2549i			0.814675i
$962$	−5.74457	+	14.4476i	−0.185213	+	0.465811i
$963$	3.39557	−	3.39557i	0.109421	−	0.109421i
$964$	6.54244	−	24.4167i	0.210718	−	0.786410i
$965$	10.3511	+	5.86518i	0.333213	+	0.188807i
$966$	3.17744	+	1.83450i	0.102233	+	0.0590240i
$967$	−43.6352	−	25.1928i	−1.40321	−	0.810145i	−0.408492	−	0.912762i	$-0.633945\pi$
$967$	−43.6352	−	25.1928i	−1.40321	−	0.810145i	−0.994721	+	0.102616i	$0.967279\pi$
$968$	9.51666			0.305877
$969$	33.4698	+	19.3238i	1.07521	+	0.620771i
$970$	18.1444	−	0.146646i	0.582581	−	0.00470852i
$971$	−21.2493	−	36.8049i	−0.681924	−	1.18113i	−0.974393	−	0.224852i	$-0.927810\pi$
$971$	−21.2493	−	36.8049i	−0.681924	−	1.18113i	0.292469	−	0.956275i	$-0.405523\pi$
$972$	−10.6894	−	10.6894i	−0.342862	−	0.342862i
$973$	10.9394	+	10.9394i	0.350700	+	0.350700i
$974$	−12.4398	+	7.18214i	−0.398598	+	0.230131i
$975$	13.7955	−	3.93654i	0.441808	−	0.126070i
$976$	−1.87013	+	1.87013i	−0.0598613	+	0.0598613i
$977$	−9.41316	−	16.3041i	−0.301154	−	0.521613i	0.675244	−	0.737595i	$-0.264038\pi$
$977$	−9.41316	−	16.3041i	−0.301154	−	0.521613i	−0.976398	+	0.215981i	$0.930705\pi$
$978$	−19.0184	−	5.09596i	−0.608141	−	0.162951i
$979$	−6.89567	−	1.84769i	−0.220387	−	0.0590524i
$980$	6.19418	−	10.9317i	0.197866	−	0.349201i
$981$	7.79898	−	2.08973i	0.249002	−	0.0667200i
$982$	−15.5502	−	26.9337i	−0.496225	−	0.859488i
$983$	3.00311	−	11.2077i	0.0957842	−	0.357471i	−0.901353	−	0.433085i	$-0.857425\pi$
$983$	3.00311	−	11.2077i	0.0957842	−	0.357471i	0.997137	+	0.0756137i	$0.0240916\pi$
$984$	−10.3381	−	2.77009i	−0.329567	−	0.0883073i
$985$	−32.1379	+	32.6616i	−1.02400	+	1.04069i
$986$	8.52530	+	31.8169i	0.271501	+	1.01326i
$987$	−6.70598	−	1.79686i	−0.213454	−	0.0571948i
$988$	10.3953	−	10.3953i	0.330718	−	0.330718i
$989$	14.6302			0.465212
$990$	4.08436	−	2.40233i	0.129810	−	0.0763510i
$991$	7.12460	−	7.12460i	0.226320	−	0.226320i	−0.584833	−	0.811154i	$-0.698840\pi$
$991$	7.12460	−	7.12460i	0.226320	−	0.226320i	0.811154	+	0.584833i	$0.198840\pi$
$992$	0.620361	+	2.31522i	0.0196965	+	0.0735082i
$993$		−	10.3505i		−	0.328465i
$994$	−5.78186	+	1.54925i	−0.183390	+	0.0491391i
$995$	16.1799	+	58.4891i	0.512937	+	1.85423i
$996$	9.74885	−	16.8855i	0.308904	−	0.535038i
$997$	−3.16850	+	1.82934i	−0.100347	+	0.0579356i	−0.549334	−	0.835603i	$-0.685118\pi$
$997$	−3.16850	+	1.82934i	−0.100347	+	0.0579356i	0.448986	+	0.893539i	$0.351785\pi$
$998$	29.2382	+	29.2382i	0.925518	+	0.925518i
$999$	12.8102	+	29.7214i	0.405298	+	0.940343i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.q.d.267.2	✓	12
5.3	odd	4		370.2.r.d.193.2	yes	12
37.14	odd	12		370.2.r.d.347.2	yes	12
185.88	even	12	inner	370.2.q.d.273.2	yes	12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.d.267.2	✓	12	1.1	even	1	trivial
370.2.q.d.273.2	yes	12	185.88	even	12	inner
370.2.r.d.193.2	yes	12	5.3	odd	4
370.2.r.d.347.2	yes	12	37.14	odd	12

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.q (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500000 - 0.866025i) q^{2} +(-1.08428 + 0.290531i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.94546 + 1.10235i) q^{5} +(0.793745 + 0.793745i) q^{6} +(-1.13508 + 0.304145i) q^{7} +1.00000 q^{8} +(-1.50683 + 0.869970i) q^{9} +O(q^{10})\)	\(q+(-0.500000 - 0.866025i) q^{2} +(-1.08428 + 0.290531i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.94546 + 1.10235i) q^{5} +(0.793745 + 0.793745i) q^{6} +(-1.13508 + 0.304145i) q^{7} +1.00000 q^{8} +(-1.50683 + 0.869970i) q^{9} +(-0.0180717 - 2.23599i) q^{10} -1.21792i q^{11} +(0.290531 - 1.08428i) q^{12} +(-1.27802 + 2.21360i) q^{13} +(0.830939 + 0.830939i) q^{14} +(-2.42968 - 0.630030i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-5.18413 + 2.99306i) q^{17} +(1.50683 + 0.869970i) q^{18} +(1.48860 + 5.55553i) q^{19} +(-1.92739 + 1.13365i) q^{20} +(1.14238 - 0.659553i) q^{21} +(-1.05475 + 0.608962i) q^{22} -2.78142 q^{23} +(-1.08428 + 0.290531i) q^{24} +(2.56966 + 4.28915i) q^{25} +2.55605 q^{26} +(3.76230 - 3.76230i) q^{27} +(0.304145 - 1.13508i) q^{28} +(3.89093 + 3.89093i) q^{29} +(0.669220 + 2.41918i) q^{30} +(1.69486 - 1.69486i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(0.353844 + 1.32056i) q^{33} +(5.18413 + 2.99306i) q^{34} +(-2.54354 - 0.659553i) q^{35} -1.73994i q^{36} +(-2.24745 + 5.65234i) q^{37} +(4.06693 - 4.06693i) q^{38} +(0.742610 - 2.77146i) q^{39} +(1.94546 + 1.10235i) q^{40} +(8.25720 + 4.76730i) q^{41} +(-1.14238 - 0.659553i) q^{42} -5.25996 q^{43} +(1.05475 + 0.608962i) q^{44} +(-3.89050 + 0.0314436i) q^{45} +(1.39071 + 2.40878i) q^{46} +(-3.72155 - 3.72155i) q^{47} +(0.793745 + 0.793745i) q^{48} +(-4.86627 + 2.80954i) q^{49} +(2.42968 - 4.36997i) q^{50} +(4.75145 - 4.75145i) q^{51} +(-1.27802 - 2.21360i) q^{52} +(5.06804 + 1.35798i) q^{53} +(-5.13940 - 1.37710i) q^{54} +(1.34257 - 2.36943i) q^{55} +(-1.13508 + 0.304145i) q^{56} +(-3.22811 - 5.59124i) q^{57} +(1.42418 - 5.31511i) q^{58} +(0.984278 + 0.263737i) q^{59} +(1.76046 - 1.78915i) q^{60} +(-0.684514 - 2.55464i) q^{61} +(-2.31522 - 0.620361i) q^{62} +(1.44578 - 1.44578i) q^{63} +1.00000 q^{64} +(-4.92650 + 2.89766i) q^{65} +(0.966720 - 0.966720i) q^{66} +(-3.05506 - 11.4016i) q^{67} -5.98612i q^{68} +(3.01583 - 0.808089i) q^{69} +(0.700579 + 2.53254i) q^{70} +(-2.54689 + 4.41134i) q^{71} +(-1.50683 + 0.869970i) q^{72} +(-5.93204 - 5.93204i) q^{73} +(6.01880 - 0.879826i) q^{74} +(-4.03235 - 3.90406i) q^{75} +(-5.55553 - 1.48860i) q^{76} +(0.370425 + 1.38244i) q^{77} +(-2.77146 + 0.742610i) q^{78} +(-3.10378 - 11.5835i) q^{79} +(-0.0180717 - 2.23599i) q^{80} +(-0.376397 + 0.651939i) q^{81} -9.53459i q^{82} +(16.7777 + 4.49556i) q^{83} +1.31911i q^{84} +(-13.3849 + 0.108179i) q^{85} +(2.62998 + 4.55526i) q^{86} +(-5.34927 - 3.08840i) q^{87} -1.21792i q^{88} +(1.51708 - 5.66183i) q^{89} +(1.97248 + 3.35355i) q^{90} +(0.777408 - 2.90133i) q^{91} +(1.39071 - 2.40878i) q^{92} +(-1.34528 + 2.33010i) q^{93} +(-1.36218 + 5.08373i) q^{94} +(-3.22811 + 12.4490i) q^{95} +(0.290531 - 1.08428i) q^{96} +8.11468i q^{97} +(4.86627 + 2.80954i) q^{98} +(1.05956 + 1.83521i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q - 6 q^{2} - 6 q^{4} + 2 q^{5} + 6 q^{6} - 4 q^{7} + 12 q^{8} + 18 q^{9}+O(q^{10}) \) 12 * q - 6 * q^2 - 6 * q^4 + 2 * q^5 + 6 * q^6 - 4 * q^7 + 12 * q^8 + 18 * q^9	\( 12 q - 6 q^{2} - 6 q^{4} + 2 q^{5} + 6 q^{6} - 4 q^{7} + 12 q^{8} + 18 q^{9} - 4 q^{10} - 6 q^{12} + 8 q^{14} - 10 q^{15} - 6 q^{16} - 12 q^{17} - 18 q^{18} - 8 q^{19} + 2 q^{20} + 54 q^{21} - 6 q^{22} - 4 q^{23} - 14 q^{25} + 18 q^{27} - 4 q^{28} + 4 q^{29} - 4 q^{30} - 2 q^{31} - 6 q^{32} + 20 q^{33} + 12 q^{34} + 6 q^{35} + 14 q^{37} + 16 q^{38} - 30 q^{39} + 2 q^{40} + 12 q^{41} - 54 q^{42} + 44 q^{43} + 6 q^{44} - 60 q^{45} + 2 q^{46} - 28 q^{47} + 6 q^{48} + 24 q^{49} + 10 q^{50} - 8 q^{51} + 8 q^{53} - 18 q^{54} - 4 q^{56} - 28 q^{57} - 14 q^{58} + 14 q^{60} + 24 q^{61} - 14 q^{62} + 8 q^{63} + 12 q^{64} - 10 q^{65} + 8 q^{66} + 18 q^{67} - 40 q^{69} - 30 q^{70} + 18 q^{72} - 28 q^{73} + 38 q^{74} - 30 q^{75} - 8 q^{76} + 10 q^{77} + 48 q^{78} - 56 q^{79} - 4 q^{80} + 4 q^{81} + 14 q^{83} - 28 q^{85} - 22 q^{86} + 18 q^{87} - 2 q^{89} + 18 q^{90} + 38 q^{91} + 2 q^{92} - 16 q^{94} - 28 q^{95} - 6 q^{96} - 24 q^{98} + 28 q^{99}+O(q^{100}) \) 12 * q - 6 * q^2 - 6 * q^4 + 2 * q^5 + 6 * q^6 - 4 * q^7 + 12 * q^8 + 18 * q^9 - 4 * q^10 - 6 * q^12 + 8 * q^14 - 10 * q^15 - 6 * q^16 - 12 * q^17 - 18 * q^18 - 8 * q^19 + 2 * q^20 + 54 * q^21 - 6 * q^22 - 4 * q^23 - 14 * q^25 + 18 * q^27 - 4 * q^28 + 4 * q^29 - 4 * q^30 - 2 * q^31 - 6 * q^32 + 20 * q^33 + 12 * q^34 + 6 * q^35 + 14 * q^37 + 16 * q^38 - 30 * q^39 + 2 * q^40 + 12 * q^41 - 54 * q^42 + 44 * q^43 + 6 * q^44 - 60 * q^45 + 2 * q^46 - 28 * q^47 + 6 * q^48 + 24 * q^49 + 10 * q^50 - 8 * q^51 + 8 * q^53 - 18 * q^54 - 4 * q^56 - 28 * q^57 - 14 * q^58 + 14 * q^60 + 24 * q^61 - 14 * q^62 + 8 * q^63 + 12 * q^64 - 10 * q^65 + 8 * q^66 + 18 * q^67 - 40 * q^69 - 30 * q^70 + 18 * q^72 - 28 * q^73 + 38 * q^74 - 30 * q^75 - 8 * q^76 + 10 * q^77 + 48 * q^78 - 56 * q^79 - 4 * q^80 + 4 * q^81 + 14 * q^83 - 28 * q^85 - 22 * q^86 + 18 * q^87 - 2 * q^89 + 18 * q^90 + 38 * q^91 + 2 * q^92 - 16 * q^94 - 28 * q^95 - 6 * q^96 - 24 * q^98 + 28 * q^99

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