LMFDB - Embedded newform 370.2.r.d.193.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(23,370)]

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([9, 5]))

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

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

chi := DirichletCharacter("370.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.r (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			193.2
Root			$-0.431120 + 1.60896i$ of defining polynomial
Character	$\chi$	$=$	370.193
Dual form			370.2.r.d.347.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 + 0.500000i) q^{2} +(-0.290531 - 1.08428i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.13365 - 1.92739i) q^{5} +(0.793745 + 0.793745i) q^{6} +(0.304145 + 1.13508i) q^{7} +1.00000i q^{8} +(1.50683 - 0.869970i) q^{9} +O(q^{10})$	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.290531 - 1.08428i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.13365 - 1.92739i) q^{5} +(0.793745 + 0.793745i) q^{6} +(0.304145 + 1.13508i) q^{7} +1.00000i q^{8} +(1.50683 - 0.869970i) q^{9} +(-0.0180717 + 2.23599i) q^{10} -1.21792i q^{11} +(-1.08428 - 0.290531i) q^{12} +(-2.21360 - 1.27802i) q^{13} +(-0.830939 - 0.830939i) q^{14} +(-2.41918 - 0.669220i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(2.99306 + 5.18413i) q^{17} +(-0.869970 + 1.50683i) q^{18} +(-1.48860 - 5.55553i) q^{19} +(-1.10235 - 1.94546i) q^{20} +(1.14238 - 0.659553i) q^{21} +(0.608962 + 1.05475i) q^{22} -2.78142i q^{23} +(1.08428 - 0.290531i) q^{24} +(-2.42968 - 4.36997i) q^{25} +2.55605 q^{26} +(-3.76230 - 3.76230i) q^{27} +(1.13508 + 0.304145i) q^{28} +(-3.89093 - 3.89093i) q^{29} +(2.42968 - 0.630030i) q^{30} +(1.69486 - 1.69486i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-1.32056 + 0.353844i) q^{33} +(-5.18413 - 2.99306i) q^{34} +(2.53254 + 0.700579i) q^{35} -1.73994i q^{36} +(5.65234 + 2.24745i) q^{37} +(4.06693 + 4.06693i) q^{38} +(-0.742610 + 2.77146i) q^{39} +(1.92739 + 1.13365i) q^{40} +(8.25720 + 4.76730i) q^{41} +(-0.659553 + 1.14238i) q^{42} -5.25996i q^{43} +(-1.05475 - 0.608962i) q^{44} +(0.0314436 - 3.89050i) 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} +(4.28915 + 2.56966i) q^{50} +(4.75145 - 4.75145i) q^{51} +(-2.21360 + 1.27802i) q^{52} +(-1.35798 + 5.06804i) q^{53} +(5.13940 + 1.37710i) q^{54} +(-2.34742 - 1.38070i) q^{55} +(-1.13508 + 0.304145i) q^{56} +(-5.59124 + 3.22811i) q^{57} +(5.31511 + 1.42418i) q^{58} +(-0.984278 - 0.263737i) q^{59} +(-1.78915 + 1.76046i) q^{60} +(-0.684514 - 2.55464i) q^{61} +(-0.620361 + 2.31522i) q^{62} +(1.44578 + 1.44578i) q^{63} -1.00000 q^{64} +(-4.97270 + 2.81765i) q^{65} +(0.966720 - 0.966720i) q^{66} +(-11.4016 + 3.05506i) q^{67} +5.98612 q^{68} +(-3.01583 + 0.808089i) q^{69} +(-2.54354 + 0.659553i) q^{70} +(-2.54689 + 4.41134i) q^{71} +(0.869970 + 1.50683i) 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} +(1.38244 - 0.370425i) q^{77} +(-0.742610 - 2.77146i) q^{78} +(3.10378 + 11.5835i) q^{79} +(-2.23599 - 0.0180717i) q^{80} +(-0.376397 + 0.651939i) q^{81} -9.53459 q^{82} +(-4.49556 + 16.7777i) q^{83} -1.31911i q^{84} +(13.3849 + 0.108179i) q^{85} +(2.62998 + 4.55526i) q^{86} +(-3.08840 + 5.34927i) q^{87} +1.21792 q^{88} +(-1.51708 + 5.66183i) q^{89} +(1.91802 + 3.38499i) q^{90} +(0.777408 - 2.90133i) q^{91} +(-2.40878 - 1.39071i) q^{92} +(-2.33010 - 1.34528i) q^{93} +(1.36218 - 5.08373i) q^{94} +(-12.3952 - 3.42890i) q^{95} +(0.290531 - 1.08428i) q^{96} +8.11468 q^{97} +(-2.80954 + 4.86627i) q^{98} +(-1.05956 - 1.83521i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9}+O(q^{10}) $ 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9	$ 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9} - 4 q^{10} - 6 q^{13} - 8 q^{14} - 14 q^{15} - 6 q^{16} + 12 q^{17} + 10 q^{18} + 8 q^{19} - 4 q^{20} + 54 q^{21} - 10 q^{22} - 10 q^{25} - 18 q^{27} + 4 q^{28} - 4 q^{29} + 10 q^{30} - 2 q^{31} - 28 q^{33} - 12 q^{34} + 14 q^{35} + 12 q^{37} + 16 q^{38} + 30 q^{39} - 2 q^{40} + 12 q^{41} - 22 q^{42} - 6 q^{44} + 24 q^{45} + 2 q^{46} - 28 q^{47} - 6 q^{48} - 24 q^{49} + 16 q^{50} - 8 q^{51} - 6 q^{52} + 14 q^{53} + 18 q^{54} - 32 q^{55} - 4 q^{56} - 72 q^{57} - 10 q^{58} + 14 q^{60} + 24 q^{61} - 16 q^{62} + 8 q^{63} - 12 q^{64} - 26 q^{65} + 8 q^{66} + 18 q^{67} + 24 q^{68} + 40 q^{69} + 6 q^{70} - 10 q^{72} + 28 q^{73} - 38 q^{74} - 30 q^{75} - 8 q^{76} + 26 q^{77} + 30 q^{78} + 56 q^{79} + 4 q^{80} + 4 q^{81} - 28 q^{82} + 14 q^{83} + 28 q^{85} - 22 q^{86} - 10 q^{87} - 20 q^{88} + 2 q^{89} + 42 q^{90} + 38 q^{91} - 18 q^{92} + 18 q^{93} + 16 q^{94} - 56 q^{95} - 6 q^{96} - 44 q^{97} + 22 q^{98} - 28 q^{99}+O(q^{100}) $ 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9 - 4 * q^10 - 6 * q^13 - 8 * q^14 - 14 * q^15 - 6 * q^16 + 12 * q^17 + 10 * q^18 + 8 * q^19 - 4 * q^20 + 54 * q^21 - 10 * q^22 - 10 * q^25 - 18 * q^27 + 4 * q^28 - 4 * q^29 + 10 * q^30 - 2 * q^31 - 28 * q^33 - 12 * q^34 + 14 * q^35 + 12 * q^37 + 16 * q^38 + 30 * q^39 - 2 * q^40 + 12 * q^41 - 22 * q^42 - 6 * q^44 + 24 * q^45 + 2 * q^46 - 28 * q^47 - 6 * q^48 - 24 * q^49 + 16 * q^50 - 8 * q^51 - 6 * q^52 + 14 * q^53 + 18 * q^54 - 32 * q^55 - 4 * q^56 - 72 * q^57 - 10 * q^58 + 14 * q^60 + 24 * q^61 - 16 * q^62 + 8 * q^63 - 12 * q^64 - 26 * q^65 + 8 * q^66 + 18 * q^67 + 24 * q^68 + 40 * q^69 + 6 * q^70 - 10 * q^72 + 28 * q^73 - 38 * q^74 - 30 * q^75 - 8 * q^76 + 26 * q^77 + 30 * q^78 + 56 * q^79 + 4 * q^80 + 4 * q^81 - 28 * q^82 + 14 * q^83 + 28 * q^85 - 22 * q^86 - 10 * q^87 - 20 * q^88 + 2 * q^89 + 42 * q^90 + 38 * q^91 - 18 * q^92 + 18 * q^93 + 16 * q^94 - 56 * q^95 - 6 * q^96 - 44 * q^97 + 22 * q^98 - 28 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$3$	−0.290531	−	1.08428i	−0.167738	−	0.626007i	−0.997675	−	0.0681497i	$-0.978290\pi$
$3$	−0.290531	−	1.08428i	−0.167738	−	0.626007i	0.829937	−	0.557857i	$-0.188376\pi$
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	1.13365	−	1.92739i	0.506983	−	0.861956i
$5$	1.13365	−	1.92739i	0.506983	−	0.861956i
$6$	0.793745	+	0.793745i	0.324045	+	0.324045i
$7$	0.304145	+	1.13508i	0.114956	+	0.429021i	0.999284	−	0.0378454i	$-0.0120495\pi$
$7$	0.304145	+	1.13508i	0.114956	+	0.429021i	−0.884328	+	0.466867i	$0.845383\pi$
$8$			1.00000i			0.353553i
$9$	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	$-0.0587780\pi$
$12$	−1.08428	−	0.290531i	−0.313003	−	0.0838690i
$13$	−2.21360	−	1.27802i	−0.613942	−	0.354460i	0.160564	−	0.987025i	$-0.448669\pi$
$13$	−2.21360	−	1.27802i	−0.613942	−	0.354460i	−0.774507	+	0.632566i	$0.782002\pi$
$14$	−0.830939	−	0.830939i	−0.222078	−	0.222078i
$15$	−2.41918	−	0.669220i	−0.624631	−	0.172792i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	2.99306	+	5.18413i	0.725923	+	1.25734i	0.958593	+	0.284780i	$0.0919206\pi$
$17$	2.99306	+	5.18413i	0.725923	+	1.25734i	−0.232669	+	0.972556i	$0.574746\pi$
$18$	−0.869970	+	1.50683i	−0.205054	+	0.355164i
$19$	−1.48860	−	5.55553i	−0.341509	−	1.27453i	−0.896638	−	0.442763i	$-0.853998\pi$
$19$	−1.48860	−	5.55553i	−0.341509	−	1.27453i	0.555130	−	0.831764i	$-0.312669\pi$
$20$	−1.10235	−	1.94546i	−0.246492	−	0.435019i
$21$	1.14238	−	0.659553i	0.249288	−	0.143926i
$22$	0.608962	+	1.05475i	0.129831	+	0.224874i
$23$		−	2.78142i		−	0.579967i	−0.957032	−	0.289983i	$-0.906350\pi$
$23$		−	2.78142i		−	0.579967i	0.957032	−	0.289983i	$-0.0936498\pi$
$24$	1.08428	−	0.290531i	0.221327	−	0.0593043i
$25$	−2.42968	−	4.36997i	−0.485937	−	0.873994i
$26$	2.55605			0.501282
$27$	−3.76230	−	3.76230i	−0.724055	−	0.724055i
$28$	1.13508	+	0.304145i	0.214511	+	0.0574780i
$29$	−3.89093	−	3.89093i	−0.722527	−	0.722527i	0.246592	−	0.969119i	$-0.420689\pi$
$29$	−3.89093	−	3.89093i	−0.722527	−	0.722527i	−0.969119	+	0.246592i	$0.920689\pi$
$30$	2.42968	−	0.630030i	0.443598	−	0.115027i
$31$	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	$0.180944\pi$
$32$	0.866025	+	0.500000i	0.153093	+	0.0883883i
$33$	−1.32056	+	0.353844i	−0.229881	+	0.0615963i
$34$	−5.18413	−	2.99306i	−0.889071	−	0.513305i
$35$	2.53254	+	0.700579i	0.428078	+	0.118419i
$36$		−	1.73994i		−	0.289990i
$37$	5.65234	+	2.24745i	0.929240	+	0.369478i
$37$	5.65234	+	2.24745i	0.929240	+	0.369478i
$38$	4.06693	+	4.06693i	0.659744	+	0.659744i
$39$	−0.742610	+	2.77146i	−0.118913	+	0.443788i
$40$	1.92739	+	1.13365i	0.304748	+	0.179245i
$41$	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	$0.399342\pi$
$42$	−0.659553	+	1.14238i	−0.101771	+	0.176273i
$43$		−	5.25996i		−	0.802136i	−0.916048	−	0.401068i	$-0.868639\pi$
$43$		−	5.25996i		−	0.802136i	0.916048	−	0.401068i	$-0.131361\pi$
$44$	−1.05475	−	0.608962i	−0.159010	−	0.0918044i
$45$	0.0314436	−	3.89050i	0.00468734	−	0.579961i
$46$	1.39071	+	2.40878i	0.205049	+	0.355156i
$47$	−3.72155	+	3.72155i	−0.542844	+	0.542844i	−0.924362	−	0.381518i	$-0.875402\pi$
$47$	−3.72155	+	3.72155i	−0.542844	+	0.542844i	0.381518	+	0.924362i	$0.375402\pi$
$48$	−0.793745	+	0.793745i	−0.114567	+	0.114567i
$49$	4.86627	−	2.80954i	0.695181	−	0.401363i
$50$	4.28915	+	2.56966i	0.606578	+	0.363405i
$51$	4.75145	−	4.75145i	0.665336	−	0.665336i
$52$	−2.21360	+	1.27802i	−0.306971	+	0.177230i
$53$	−1.35798	+	5.06804i	−0.186533	+	0.696149i	0.807765	+	0.589505i	$0.200677\pi$
$53$	−1.35798	+	5.06804i	−0.186533	+	0.696149i	−0.994297	+	0.106644i	$0.965989\pi$
$54$	5.13940	+	1.37710i	0.699384	+	0.187399i
$55$	−2.34742	−	1.38070i	−0.316526	−	0.186173i
$56$	−1.13508	+	0.304145i	−0.151682	+	0.0406430i
$57$	−5.59124	+	3.22811i	−0.740578	+	0.427573i
$58$	5.31511	+	1.42418i	0.697908	+	0.187004i
$59$	−0.984278	−	0.263737i	−0.128142	−	0.0343356i	0.194178	−	0.980966i	$-0.437796\pi$
$59$	−0.984278	−	0.263737i	−0.128142	−	0.0343356i	−0.322320	+	0.946631i	$0.604463\pi$
$60$	−1.78915	+	1.76046i	−0.230979	+	0.227275i
$61$	−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	$0.970822\pi$
$62$	−0.620361	+	2.31522i	−0.0787859	+	0.294033i
$63$	1.44578	+	1.44578i	0.182152	+	0.182152i
$64$	−1.00000			−0.125000
$65$	−4.97270	+	2.81765i	−0.616787	+	0.349486i
$66$	0.966720	−	0.966720i	0.118995	−	0.118995i
$67$	−11.4016	+	3.05506i	−1.39293	+	0.373234i	−0.875801	−	0.482673i	$-0.839666\pi$
$67$	−11.4016	+	3.05506i	−1.39293	+	0.373234i	−0.517129	+	0.855907i	$0.672999\pi$
$68$	5.98612			0.725923
$69$	−3.01583	+	0.808089i	−0.363063	+	0.0972825i
$70$	−2.54354	+	0.659553i	−0.304011	+	0.0788317i
$71$	−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	$0.264408\pi$
$72$	0.869970	+	1.50683i	0.102527	+	0.177582i
$73$	5.93204	−	5.93204i	0.694292	−	0.694292i	−0.268881	−	0.963173i	$-0.586654\pi$
$73$	5.93204	−	5.93204i	0.694292	−	0.694292i	0.963173	+	0.268881i	$0.0866538\pi$
$74$	−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
$77$	1.38244	−	0.370425i	0.157544	−	0.0422138i
$78$	−0.742610	−	2.77146i	−0.0840840	−	0.313806i
$79$	3.10378	+	11.5835i	0.349202	+	1.30324i	0.887625	+	0.460567i	$0.152354\pi$
$79$	3.10378	+	11.5835i	0.349202	+	1.30324i	−0.538423	+	0.842675i	$0.680980\pi$
$80$	−2.23599	−	0.0180717i	−0.249992	−	0.00202048i
$81$	−0.376397	+	0.651939i	−0.0418219	+	0.0724377i
$82$	−9.53459			−1.05292
$83$	−4.49556	+	16.7777i	−0.493452	+	1.84159i	0.0450809	+	0.998983i	$0.485645\pi$
$83$	−4.49556	+	16.7777i	−0.493452	+	1.84159i	−0.538533	+	0.842604i	$0.681021\pi$
$84$		−	1.31911i		−	0.143926i
$85$	13.3849	+	0.108179i	1.45180	+	0.0117337i
$86$	2.62998	+	4.55526i	0.283598	+	0.491206i
$87$	−3.08840	+	5.34927i	−0.331112	+	0.573502i
$88$	1.21792			0.129831
$89$	−1.51708	+	5.66183i	−0.160810	+	0.600152i	0.837727	+	0.546089i	$0.183884\pi$
$89$	−1.51708	+	5.66183i	−0.160810	+	0.600152i	−0.998538	+	0.0540634i	$0.982783\pi$
$90$	1.91802	+	3.38499i	0.202177	+	0.356809i
$91$	0.777408	−	2.90133i	0.0814945	−	0.304142i
$92$	−2.40878	−	1.39071i	−0.251133	−	0.144992i
$93$	−2.33010	−	1.34528i	−0.241620	−	0.139499i
$94$	1.36218	−	5.08373i	0.140498	−	0.524347i
$95$	−12.3952	−	3.42890i	−1.27173	−	0.351798i
$96$	0.290531	−	1.08428i	0.0296522	−	0.110663i
$97$	8.11468			0.823921			0.411961	−	0.911202i	$-0.364844\pi$
$97$	8.11468			0.823921			0.411961	+	0.911202i	$0.364844\pi$
$98$	−2.80954	+	4.86627i	−0.283806	+	0.491567i
$99$	−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	$-0.0546396\pi$
$102$	−1.73915	+	6.49060i	−0.172202	+	0.642665i
$103$	−2.01323			−0.198369			−0.0991847	−	0.995069i	$-0.531623\pi$
$103$	−2.01323			−0.198369			−0.0991847	+	0.995069i	$0.531623\pi$
$104$	1.27802	−	2.21360i	0.125320	−	0.217061i
$105$	0.0238385	−	2.94952i	0.00232640	−	0.287843i
$106$	−1.35798	−	5.06804i	−0.131898	−	0.492252i
$107$	0.714316	+	2.66586i	0.0690555	+	0.257719i	0.991820	−	0.127646i	$-0.0407422\pi$
$107$	0.714316	+	2.66586i	0.0690555	+	0.257719i	−0.922764	+	0.385365i	$0.874076\pi$
$108$	−5.13940	+	1.37710i	−0.494539	+	0.132511i
$109$	4.48233	+	1.20104i	0.429330	+	0.115039i	0.467011	−	0.884251i	$-0.345331\pi$
$109$	4.48233	+	1.20104i	0.429330	+	0.115039i	−0.0376819	+	0.999290i	$0.511997\pi$
$110$	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
$113$	7.03638	+	12.1874i	0.661927	+	1.14649i	0.980109	+	0.198462i	$0.0635945\pi$
$113$	7.03638	+	12.1874i	0.661927	+	1.14649i	−0.318181	+	0.948030i	$0.603072\pi$
$114$	3.22811	−	5.59124i	0.302340	−	0.523668i
$115$	−5.36090	−	3.15316i	−0.499906	−	0.294033i
$116$	−5.31511	+	1.42418i	−0.493495	+	0.132232i
$117$	−4.44736			−0.411159
$118$	0.984278	−	0.263737i	0.0906102	−	0.0242789i
$119$	−4.97410	+	4.97410i	−0.455975	+	0.455975i
$120$	0.669220	−	2.41918i	0.0610911	−	0.220840i
$121$	9.51666			0.865151
$122$	1.87013	+	1.87013i	0.169313	+	0.169313i
$123$	2.77009	−	10.3381i	0.249771	−	0.932157i
$124$	−0.620361	−	2.31522i	−0.0557100	−	0.207913i
$125$	−11.1771	−	0.271052i	−0.999706	−	0.0242436i
$126$	−1.97498	−	0.529193i	−0.175945	−	0.0471443i
$127$	8.56961	+	2.29622i	0.760430	+	0.203757i	0.618139	−	0.786068i	$-0.287887\pi$
$127$	8.56961	+	2.29622i	0.760430	+	0.203757i	0.142290	+	0.989825i	$0.454553\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	−5.70324	+	1.52818i	−0.502142	+	0.134549i
$130$	2.89766	−	4.92650i	0.254141	−	0.432083i
$131$	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	$0.373217\pi$
$132$	−0.353844	+	1.32056i	−0.0307982	+	0.114940i
$133$	5.85325	−	3.37937i	0.507541	−	0.293029i
$134$	8.34657	−	8.34657i	0.721034	−	0.721034i
$135$	−11.5166	+	2.98631i	−0.991187	+	0.257020i
$136$	−5.18413	+	2.99306i	−0.444535	+	0.256653i
$137$	4.03954	−	4.03954i	0.345122	−	0.345122i	−0.513167	−	0.858289i	$-0.671528\pi$
$137$	4.03954	−	4.03954i	0.345122	−	0.345122i	0.858289	+	0.513167i	$0.171528\pi$
$138$	2.20774	−	2.20774i	0.187935	−	0.187935i
$139$	6.58254	+	11.4013i	0.558324	+	0.967046i	0.997637	+	0.0687113i	$0.0218887\pi$
$139$	6.58254	+	11.4013i	0.558324	+	0.967046i	−0.439313	+	0.898334i	$0.644778\pi$
$140$	1.87299	−	1.84296i	0.158297	−	0.155758i
$141$	5.11641	+	2.95396i	0.430879	+	0.248768i
$142$		−	5.09378i		−	0.427460i
$143$	−1.55653	+	2.69600i	−0.130164	+	0.225450i
$144$	−1.50683	−	0.869970i	−0.125569	−	0.0724975i
$145$	−11.9103	+	3.08840i	−0.989096	+	0.256478i
$146$	−2.17128	+	8.10331i	−0.179696	+	0.670635i
$147$	−4.46012	−	4.46012i	−0.367864	−	0.367864i
$148$	4.77252	−	3.77135i	0.392298	−	0.310003i
$149$			6.04160i			0.494947i	0.968895	+	0.247474i	$0.0796004\pi$
$149$			6.04160i			0.494947i	−0.968895	+	0.247474i	$0.920400\pi$
$150$	1.54009	−	5.39719i	0.125748	−	0.440679i
$151$	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	$0.504890\pi$
$152$	5.55553	−	1.48860i	0.450613	−	0.120741i
$153$	9.02007	+	5.20774i	0.729229	+	0.421021i
$154$	−1.01202	+	1.01202i	−0.0815509	+	0.0815509i
$155$	−1.34528	−	5.18802i	−0.108056	−	0.416712i
$156$	2.02885	+	2.02885i	0.162438	+	0.162438i
$157$	−20.1160	−	5.39005i	−1.60543	−	0.430173i	−0.658752	−	0.752360i	$-0.728915\pi$
$157$	−20.1160	−	5.39005i	−1.60543	−	0.430173i	−0.946676	+	0.322187i	$0.895582\pi$
$158$	−8.47968	−	8.47968i	−0.674607	−	0.674607i
$159$	5.88969			0.467083
$160$	1.94546	−	1.10235i	0.153802	−	0.0871482i
$161$	3.15715	−	0.845955i	0.248818	−	0.0666706i
$162$		−	0.752795i		−	0.0591451i
$163$	−8.77009	−	15.1902i	−0.686927	−	1.18979i	−0.972827	−	0.231532i	$-0.925626\pi$
$163$	−8.77009	−	15.1902i	−0.686927	−	1.18979i	0.285901	−	0.958259i	$-0.407707\pi$
$164$	8.25720	−	4.76730i	0.644779	−	0.372263i
$165$	−0.815058	+	2.94638i	−0.0634522	+	0.229375i
$166$	−4.49556	−	16.7777i	−0.348923	−	1.30220i
$167$	9.22500	−	15.9782i	0.713852	−	1.23643i	−0.249549	−	0.968362i	$-0.580282\pi$
$167$	9.22500	−	15.9782i	0.713852	−	1.23643i	0.963401	−	0.268066i	$-0.0863844\pi$
$168$	0.659553	+	1.14238i	0.0508856	+	0.0881365i
$169$	−3.23332	−	5.60027i	−0.248717	−	0.430790i
$170$	−11.6458	+	6.59878i	−0.893190	+	0.506103i
$171$	−7.07622	−	7.07622i	−0.541132	−	0.541132i
$172$	−4.55526	−	2.62998i	−0.347335	−	0.200534i
$173$	7.81527	+	2.09410i	0.594184	+	0.159211i	0.543365	−	0.839497i	$-0.317150\pi$
$173$	7.81527	+	2.09410i	0.594184	+	0.159211i	0.0508192	+	0.998708i	$0.483817\pi$
$174$		−	6.17681i		−	0.468263i
$175$	4.22131	−	4.08700i	0.319101	−	0.308948i
$176$	−1.05475	+	0.608962i	−0.0795050	+	0.0459022i
$177$			1.14385i			0.0859772i
$178$	−1.51708	−	5.66183i	−0.113710	−	0.424372i
$179$	11.0154	+	11.0154i	0.823333	+	0.823333i	0.986585	−	0.163251i	$-0.0521981\pi$
$179$	11.0154	+	11.0154i	0.823333	+	0.823333i	−0.163251	+	0.986585i	$0.552198\pi$
$180$	−3.35355	−	1.97248i	−0.249959	−	0.147020i
$181$	−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	$0.990977\pi$
$182$	0.777408	+	2.90133i	0.0576253	+	0.215061i
$183$	−2.57106	+	1.48440i	−0.190058	+	0.109730i
$184$	2.78142			0.205049
$185$	10.7395	−	8.34647i	0.789582	−	0.613645i
$186$	2.69057			0.197282
$187$	6.31387	−	3.64532i	0.461716	−	0.266572i
$188$	1.36218	+	5.08373i	0.0993473	+	0.370769i
$189$	3.12624	−	5.41481i	0.227401	−	0.393869i
$190$	12.4490	−	3.22811i	0.903149	−	0.234191i
$191$	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	$0.695364\pi$
$192$	0.290531	+	1.08428i	0.0209672	+	0.0782508i
$193$			5.32063i			0.382987i	0.981494	+	0.191494i	$0.0613331\pi$
$193$			5.32063i			0.382987i	−0.981494	+	0.191494i	$0.938667\pi$
$194$	−7.02752	+	4.05734i	−0.504547	+	0.291300i
$195$	4.49983	+	4.57316i	0.322239	+	0.327491i
$196$		−	5.61908i		−	0.401363i
$197$	19.7938	+	5.30374i	1.41025	+	0.377876i	0.882015	−	0.471222i	$-0.156187\pi$
$197$	19.7938	+	5.30374i	1.41025	+	0.377876i	0.528237	+	0.849097i	$0.322853\pi$
$198$	1.83521	+	1.05956i	0.130422	+	0.0752994i
$199$	−19.1905	−	19.1905i	−1.36038	−	1.36038i	−0.873428	−	0.486953i	$-0.838108\pi$
$199$	−19.1905	−	19.1905i	−1.36038	−	1.36038i	−0.486953	−	0.873428i	$-0.661892\pi$
$200$	4.36997	−	2.42968i	0.309004	−	0.171805i
$201$	6.62504	+	11.4749i	0.467294	+	0.809378i
$202$	1.71666	+	2.97333i	0.120783	+	0.209203i
$203$	3.23312	−	5.59993i	0.226921	−	0.393038i
$204$	−1.73915	−	6.49060i	−0.121765	−	0.454433i
$205$	18.5492	−	10.5104i	1.29553	−	0.734080i
$206$	1.74351	−	1.00661i	0.121476	−	0.0701342i
$207$	−2.41975	−	4.19114i	−0.168185	−	0.291304i
$208$			2.55605i			0.177230i
$209$	−6.76622	+	1.81300i	−0.468029	+	0.125408i
$210$	1.45411	+	2.56627i	0.100343	+	0.177090i
$211$	−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
$213$	5.52306	+	1.47990i	0.378434	+	0.101401i
$214$	−1.95155	−	1.95155i	−0.133405	−	0.133405i
$215$	−10.1380	−	5.96294i	−0.691406	−	0.406669i
$216$	3.76230	−	3.76230i	0.255992	−	0.255992i
$217$	2.43929	+	1.40832i	0.165589	+	0.0956031i
$218$	−4.48233	+	1.20104i	−0.303582	+	0.0813445i
$219$	−8.15540	−	4.70852i	−0.551091	−	0.318172i
$220$	−2.36943	+	1.34257i	−0.159747	+	0.0905163i
$221$		−	15.3008i		−	1.02924i
$222$	2.70262	+	6.27042i	0.181388	+	0.420843i
$223$	6.58856	+	6.58856i	0.441202	+	0.441202i	0.892416	−	0.451214i	$-0.149009\pi$
$223$	6.58856	+	6.58856i	0.441202	+	0.441202i	−0.451214	+	0.892416i	$0.649009\pi$
$224$	−0.304145	+	1.13508i	−0.0203215	+	0.0758410i
$225$	−7.46287	−	4.47106i	−0.497524	−	0.298070i
$226$	−12.1874	−	7.03638i	−0.810692	−	0.468053i
$227$	9.34941	−	16.1937i	0.620542	−	1.07481i	−0.368843	−	0.929492i	$-0.620246\pi$
$227$	9.34941	−	16.1937i	0.620542	−	1.07481i	0.989385	−	0.145319i	$-0.0464207\pi$
$228$			6.45621i			0.427573i
$229$	6.81335	+	3.93369i	0.450239	+	0.259945i	0.707931	−	0.706282i	$-0.249629\pi$
$229$	6.81335	+	3.93369i	0.450239	+	0.259945i	−0.257692	+	0.966227i	$0.582962\pi$
$230$	6.21925	+	0.0502650i	0.410085	+	0.00331438i
$231$	−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	$-0.856152\pi$
$233$	−7.06630	+	7.06630i	−0.462929	+	0.462929i	0.436686	+	0.899614i	$0.356152\pi$
$234$	3.85153	−	2.22368i	0.251782	−	0.145367i
$235$	2.95396	+	11.3918i	0.192695	+	0.743120i
$236$	−0.720542	+	0.720542i	−0.0469033	+	0.0469033i
$237$	11.6579	−	6.73070i	0.757263	−	0.437206i
$238$	1.82065	−	6.79474i	0.118015	−	0.440438i
$239$	5.09670	+	1.36566i	0.329678	+	0.0883370i	0.419861	−	0.907588i	$-0.362079\pi$
$239$	5.09670	+	1.36566i	0.329678	+	0.0883370i	−0.0901834	+	0.995925i	$0.528745\pi$
$240$	0.630030	+	2.42968i	0.0406683	+	0.156835i
$241$	−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	$0.719464\pi$
$242$	−8.24167	+	4.75833i	−0.529795	+	0.305877i
$243$	−14.6020	−	3.91258i	−0.936716	−	0.250992i
$244$	−2.55464	−	0.684514i	−0.163544	−	0.0438215i
$245$	0.101546	−	12.5642i	0.00648755	−	0.802700i
$246$	2.77009	+	10.3381i	0.176615	+	0.659135i
$247$	−3.80493	+	14.2002i	−0.242102	+	0.903537i
$248$	1.69486	+	1.69486i	0.107623	+	0.107623i
$249$	19.4977			1.23562
$250$	9.81514	−	5.35379i	0.620764	−	0.338603i
$251$	−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	$0.468644\pi$
$252$	1.97498	−	0.529193i	0.124412	−	0.0333360i
$253$	−3.38756			−0.212974
$254$	−8.56961	+	2.29622i	−0.537705	+	0.144078i
$255$	−3.77144	−	14.5444i	−0.236177	−	0.910804i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−3.57011	−	6.18360i	−0.222697	−	0.385723i	0.732929	−	0.680305i	$-0.238153\pi$
$257$	−3.57011	−	6.18360i	−0.222697	−	0.385723i	−0.955626	+	0.294583i	$0.904819\pi$
$258$	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
$262$	−13.5584	+	3.63297i	−0.837642	+	0.224445i
$263$	−0.371830	−	1.38769i	−0.0229280	−	0.0855686i	0.953514	−	0.301349i	$-0.0974370\pi$
$263$	−0.371830	−	1.38769i	−0.0229280	−	0.0855686i	−0.976442	+	0.215781i	$0.930770\pi$
$264$	−0.353844	−	1.32056i	−0.0217776	−	0.0812751i
$265$	8.22864	+	8.36273i	0.505481	+	0.513719i
$266$	−3.37937	+	5.85325i	−0.207203	+	0.358886i
$267$	6.57974			0.402673
$268$	−3.05506	+	11.4016i	−0.186617	+	0.696465i
$269$			16.2747i			0.992286i	0.868241	+	0.496143i	$0.165251\pi$
$269$			16.2747i			0.992286i	−0.868241	+	0.496143i	$0.834749\pi$
$270$	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	$0.788295\pi$
$272$	2.99306	−	5.18413i	0.181481	−	0.314334i
$273$	−3.37170			−0.204064
$274$	−1.47858	+	5.51812i	−0.0893240	+	0.333362i
$275$	−5.32229	+	2.95917i	−0.320946	+	0.178445i
$276$	−0.808089	+	3.01583i	−0.0486412	+	0.181532i
$277$	−9.04773	−	5.22371i	−0.543625	−	0.313862i	0.202922	−	0.979195i	$-0.434956\pi$
$277$	−9.04773	−	5.22371i	−0.543625	−	0.313862i	−0.746547	+	0.665333i	$0.768290\pi$
$278$	−11.4013	−	6.58254i	−0.683804	−	0.394795i
$279$	1.07939	−	4.02834i	0.0646214	−	0.241170i
$280$	−0.700579	+	2.53254i	−0.0418676	+	0.151348i
$281$	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	$-0.0131376\pi$
$282$	−5.90792			−0.351812
$283$	11.1213	−	19.2627i	0.661093	−	1.14505i	−0.319236	−	0.947675i	$-0.603426\pi$
$283$	11.1213	−	19.2627i	0.661093	−	1.14505i	0.980329	−	0.197371i	$-0.0632405\pi$
$284$	2.54689	+	4.41134i	0.151130	+	0.261765i
$285$	−0.116675	+	14.4361i	−0.00691121	+	0.855118i
$286$		−	3.11307i		−	0.184080i
$287$	−2.89990	+	10.8226i	−0.171175	+	0.638835i
$288$	1.73994			0.102527
$289$	−9.41680	+	16.3104i	−0.553929	+	0.959434i
$290$	8.77041	−	8.62978i	0.515016	−	0.506758i
$291$	−2.35756	−	8.79855i	−0.138203	−	0.515780i
$292$	−2.17128	−	8.10331i	−0.127064	−	0.474211i
$293$	−29.2861	+	7.84718i	−1.71091	+	0.458437i	−0.975647	−	0.219345i	$-0.929608\pi$
$293$	−29.2861	+	7.84718i	−1.71091	+	0.458437i	−0.735263	+	0.677782i	$0.762941\pi$
$294$	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
$298$	−3.02080	−	5.23218i	−0.174990	−	0.303092i
$299$	−3.55472	+	6.15696i	−0.205575	+	0.356066i
$300$	1.36484	+	5.44415i	0.0787989	+	0.314318i
$301$	5.97049	−	1.59979i	0.344133	−	0.0922103i
$302$	−11.9598			−0.688210
$303$	−3.72265	+	0.997482i	−0.213861	+	0.0573039i
$304$	−4.06693	+	4.06693i	−0.233255	+	0.233255i
$305$	−5.69980	−	1.57674i	−0.326369	−	0.0902837i
$306$	−10.4155			−0.595413
$307$	−1.72228	−	1.72228i	−0.0982959	−	0.0982959i	0.656249	−	0.754545i	$-0.272142\pi$
$307$	−1.72228	−	1.72228i	−0.0982959	−	0.0982959i	−0.754545	+	0.656249i	$0.772142\pi$
$308$	0.370425	−	1.38244i	0.0211069	−	0.0787721i
$309$	0.584905	+	2.18289i	0.0332741	+	0.124181i
$310$	3.75906	+	3.82032i	0.213500	+	0.216980i
$311$	−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	$0.841331\pi$
$312$	−2.77146	−	0.742610i	−0.156903	−	0.0420420i
$313$	−7.62529	+	4.40247i	−0.431007	+	0.248842i	−0.699776	−	0.714363i	$-0.746717\pi$
$313$	−7.62529	+	4.40247i	−0.431007	+	0.248842i	0.268768	+	0.963205i	$0.413383\pi$
$314$	20.1160	−	5.39005i	1.13521	−	0.304178i
$315$	4.42560	−	1.14758i	0.249354	−	0.0646589i
$316$	11.5835	+	3.10378i	0.651621	+	0.174601i
$317$	0.155442	−	0.580119i	0.00873051	−	0.0325827i	−0.961423	−	0.275074i	$-0.911298\pi$
$317$	0.155442	−	0.580119i	0.00873051	−	0.0325827i	0.970154	+	0.242491i	$0.0779644\pi$
$318$	−5.10062	+	2.94484i	−0.286029	+	0.165139i
$319$	−4.73885	+	4.73885i	−0.265325	+	0.265325i
$320$	−1.13365	+	1.92739i	−0.0633729	+	0.107745i
$321$	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
$325$	−0.206570	+	12.7786i	−0.0114585	+	0.708827i
$326$	15.1902	+	8.77009i	0.841310	+	0.485730i
$327$		−	5.20902i		−	0.288059i
$328$	−4.76730	+	8.25720i	−0.263230	+	0.455928i
$329$	−5.35616	−	3.09238i	−0.295295	−	0.170488i
$330$	−0.767329	−	2.95917i	−0.0422401	−	0.162897i
$331$	−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
$333$	10.4723	−	1.53084i	0.573881	−	0.0838897i
$334$			18.4500i			1.00954i
$335$	−7.03714	+	25.4388i	−0.384480	+	1.38987i
$336$	−1.14238	−	0.659553i	−0.0623219	−	0.0359816i
$337$	22.7484	−	6.09542i	1.23919	−	0.332039i	0.421036	−	0.907044i	$-0.361667\pi$
$337$	22.7484	−	6.09542i	1.23919	−	0.332039i	0.818150	+	0.575005i	$0.195000\pi$
$338$	5.60027	+	3.23332i	0.304614	+	0.175869i
$339$	11.1702	−	11.1702i	0.606681	−	0.606681i
$340$	6.78615	−	11.5376i	0.368031	−	0.625714i
$341$	−2.06421	−	2.06421i	−0.111783	−	0.111783i
$342$	9.66629	+	2.59008i	0.522693	+	0.140055i
$343$	10.4857	+	10.4857i	0.566174	+	0.566174i
$344$	5.25996			0.283598
$345$	−1.86138	+	6.72877i	−0.100214	+	0.362265i
$346$	−7.81527	+	2.09410i	−0.420151	+	0.112579i
$347$		−	2.06721i		−	0.110974i	−0.998459	−	0.0554869i	$-0.982329\pi$
$347$		−	2.06721i		−	0.110974i	0.998459	−	0.0554869i	$-0.0176711\pi$
$348$	3.08840	+	5.34927i	0.165556	+	0.286751i
$349$	−27.1332	+	15.6654i	−1.45241	+	0.838549i	−0.998618	−	0.0525589i	$-0.983262\pi$
$349$	−27.1332	+	15.6654i	−1.45241	+	0.838549i	−0.453792	+	0.891108i	$0.649929\pi$
$350$	−1.61226	+	5.65010i	−0.0861788	+	0.302010i
$351$	3.51992	+	13.1365i	0.187880	+	0.701176i
$352$	0.608962	−	1.05475i	0.0324578	−	0.0562185i
$353$	1.89212	+	3.27725i	0.100707	+	0.174430i	0.911976	−	0.410243i	$-0.134556\pi$
$353$	1.89212	+	3.27725i	0.100707	+	0.174430i	−0.811269	+	0.584673i	$0.801223\pi$
$354$	−0.571926	−	0.990605i	−0.0303975	−	0.0526501i
$355$	5.61511	+	9.90976i	0.298019	+	0.525956i
$356$	4.14474	+	4.14474i	0.219671	+	0.219671i
$357$	6.83842	+	3.94816i	0.361928	+	0.208959i
$358$	−15.0474	−	4.03193i	−0.795279	−	0.213094i
$359$			11.7954i			0.622535i	0.950322	+	0.311268i	$0.100754\pi$
$359$			11.7954i			0.622535i	−0.950322	+	0.311268i	$0.899246\pi$
$360$	3.89050	+	0.0314436i	0.205047	+	0.00165722i
$361$	−12.1936	+	7.03995i	−0.641766	+	0.370524i
$362$		−	14.1086i		−	0.741534i
$363$	−2.76488	−	10.3187i	−0.145119	−	0.541590i
$364$	−2.12392	−	2.12392i	−0.111324	−	0.111324i
$365$	−4.70852	−	18.1582i	−0.246455	−	0.950444i
$366$	1.48440	−	2.57106i	0.0775910	−	0.134392i
$367$	−3.73836	−	13.9517i	−0.195141	−	0.728275i	−0.992230	−	0.124414i	$-0.960295\pi$
$367$	−3.73836	−	13.9517i	−0.195141	−	0.728275i	0.797090	−	0.603861i	$-0.206372\pi$
$368$	−2.40878	+	1.39071i	−0.125567	+	0.0724959i
$369$	16.5896			0.863621
$370$	−5.12743	+	12.5980i	−0.266562	+	0.654939i
$371$	−6.16567			−0.320106
$372$	−2.33010	+	1.34528i	−0.120810	+	0.0697497i
$373$	5.75465	+	21.4766i	0.297964	+	1.11202i	0.938834	+	0.344369i	$0.111907\pi$
$373$	5.75465	+	21.4766i	0.297964	+	1.11202i	−0.640870	+	0.767649i	$0.721426\pi$
$374$	−3.64532	+	6.31387i	−0.188495	+	0.326483i
$375$	2.95338	+	12.1978i	0.152512	+	0.629889i
$376$	−3.72155	−	3.72155i	−0.191924	−	0.191924i
$377$	3.64027	+	13.5857i	0.187483	+	0.699697i
$378$			6.25248i			0.321593i
$379$	24.8895	−	14.3700i	1.27849	−	0.738136i	0.301919	−	0.953334i	$-0.402373\pi$
$379$	24.8895	−	14.3700i	1.27849	−	0.738136i	0.976571	+	0.215197i	$0.0690394\pi$
$380$	−9.16714	+	9.02015i	−0.470264	+	0.462724i
$381$		−	9.95894i		−	0.510212i
$382$	−4.56018	−	1.22190i	−0.233319	−	0.0625176i
$383$	−17.5870	−	10.1538i	−0.898653	−	0.518837i	−0.0218898	−	0.999760i	$-0.506968\pi$
$383$	−17.5870	−	10.1538i	−0.898653	−	0.518837i	−0.876763	+	0.480923i	$0.840302\pi$
$384$	−0.793745	−	0.793745i	−0.0405056	−	0.0405056i
$385$	0.853251	−	3.08445i	0.0434857	−	0.157198i
$386$	−2.66031	−	4.60780i	−0.135406	−	0.234531i
$387$	−4.57600	−	7.92587i	−0.232611	−	0.402895i
$388$	4.05734	−	7.02752i	0.205980	−	0.356768i
$389$	−7.24911	−	27.0540i	−0.367544	−	1.37169i	−0.863939	−	0.503597i	$-0.832010\pi$
$389$	−7.24911	−	27.0540i	−0.367544	−	1.37169i	0.496394	−	0.868097i	$-0.334657\pi$
$390$	−6.18354	−	1.71056i	−0.313116	−	0.0866174i
$391$	14.4193	−	8.32496i	0.729213	−	0.421012i
$392$	2.80954	+	4.86627i	0.141903	+	0.245784i
$393$		−	15.7565i		−	0.794812i
$394$	−19.7938	+	5.30374i	−0.997198	+	0.267198i
$395$	25.8445	+	7.14937i	1.30038	+	0.359724i
$396$	−2.11911			−0.106489
$397$	−4.26700	−	4.26700i	−0.214154	−	0.214154i	0.591875	−	0.806030i	$-0.298388\pi$
$397$	−4.26700	−	4.26700i	−0.214154	−	0.214154i	−0.806030	+	0.591875i	$0.798388\pi$
$398$	26.2148	+	7.02422i	1.31403	+	0.352093i
$399$	−5.36472	−	5.36472i	−0.268572	−	0.268572i
$400$	−2.56966	+	4.28915i	−0.128483	+	0.214458i
$401$	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	$0.0864821\pi$
$402$	−11.4749	−	6.62504i	−0.572316	−	0.330427i
$403$	−5.91780	+	1.58567i	−0.294787	+	0.0789878i
$404$	−2.97333	−	1.71666i	−0.147929	−	0.0854068i
$405$	0.829841	+	1.46454i	0.0412351	+	0.0727733i
$406$			6.46625i			0.320914i
$407$	2.73722	−	6.88412i	0.135679	−	0.341233i
$408$	4.75145	+	4.75145i	0.235232	+	0.235232i
$409$	−2.96372	+	11.0608i	−0.146547	+	0.546920i	0.853135	+	0.521690i	$0.174698\pi$
$409$	−2.96372	+	11.0608i	−0.146547	+	0.546920i	−0.999682	+	0.0252295i	$0.991968\pi$
$410$	−10.8089	+	18.3769i	−0.533812	+	0.907571i
$411$	−5.55359	−	3.20637i	−0.273938	−	0.158158i
$412$	−1.00661	+	1.74351i	−0.0495923	+	0.0858965i
$413$		−	1.19745i		−	0.0589228i
$414$	4.19114	+	2.41975i	0.205983	+	0.118924i
$415$	27.2408	+	27.6847i	1.33720	+	1.35899i
$416$	−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	−0.428364	−	0.903606i	$-0.640910\pi$
$419$	2.86575	−	1.65454i	0.140001	−	0.0808295i	0.568364	+	0.822777i	$0.307576\pi$
$420$	−2.54244	−	1.49540i	−0.124058	−	0.0729682i
$421$	−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	$0.465971\pi$
$422$	4.68284	−	2.70364i	0.227957	−	0.131611i
$423$	−2.37011	+	8.84538i	−0.115239	+	0.430077i
$424$	−5.06804	−	1.35798i	−0.246126	−	0.0659492i
$425$	15.3823	−	25.6754i	0.746151	−	1.24544i
$426$	−5.52306	+	1.47990i	−0.267593	+	0.0717013i
$427$	2.69154	−	1.55396i	0.130253	−	0.0752015i
$428$	2.66586	+	0.714316i	0.128859	+	0.0345278i
$429$	3.37542	+	0.904442i	0.162967	+	0.0436669i
$430$	11.7612	+	0.0950563i	0.567177	+	0.00458402i
$431$	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	$0.738498\pi$
$432$	−1.37710	+	5.13940i	−0.0662556	+	0.247269i
$433$	−7.99507	−	7.99507i	−0.384219	−	0.384219i	0.488401	−	0.872619i	$-0.337580\pi$
$433$	−7.99507	−	7.99507i	−0.384219	−	0.384219i	−0.872619	+	0.488401i	$0.837580\pi$
$434$	−2.81664			−0.135203
$435$	6.80898	+	12.0168i	0.326466	+	0.576159i
$436$	3.28129	−	3.28129i	0.157146	−	0.157146i
$437$	−15.4523	+	4.14043i	−0.739184	+	0.198064i
$438$	9.41704			0.449964
$439$	−20.5573	+	5.50831i	−0.981146	+	0.262897i	−0.713527	−	0.700628i	$-0.752903\pi$
$439$	−20.5573	+	5.50831i	−0.981146	+	0.262897i	−0.267619	+	0.963525i	$0.586237\pi$
$440$	1.38070	−	2.34742i	0.0658221	−	0.111909i
$441$	4.88843	−	8.46701i	0.232782	−	0.403191i
$442$	7.65039	+	13.2509i	0.363892	+	0.630280i
$443$	7.44446	−	7.44446i	0.353697	−	0.353697i	−0.507786	−	0.861483i	$-0.669536\pi$
$443$	7.44446	−	7.44446i	0.353697	−	0.353697i	0.861483	+	0.507786i	$0.169536\pi$
$444$	−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
$447$	6.55076	−	1.75527i	0.309840	−	0.0830214i
$448$	−0.304145	−	1.13508i	−0.0143695	−	0.0536277i
$449$	−5.69808	−	21.2655i	−0.268909	−	1.00358i	−0.959814	−	0.280636i	$-0.909455\pi$
$449$	−5.69808	−	21.2655i	−0.268909	−	1.00358i	0.690905	−	0.722945i	$-0.257212\pi$
$450$	8.69856	+	0.140616i	0.410054	+	0.00662868i
$451$	5.80620	−	10.0566i	0.273403	−	0.473548i
$452$	14.0728			0.661927
$453$	3.47469	−	12.9677i	0.163255	−	0.609277i
$454$			18.6988i			0.877579i
$455$	−4.71069	−	4.78745i	−0.220840	−	0.224439i
$456$	−3.22811	−	5.59124i	−0.151170	−	0.261834i
$457$	6.84106	−	11.8491i	0.320011	−	0.554276i	−0.660479	−	0.750845i	$-0.729647\pi$
$457$	6.84106	−	11.8491i	0.320011	−	0.554276i	0.980490	+	0.196569i	$0.0629799\pi$
$458$	−7.86737			−0.367618
$459$	8.24347	−	30.7650i	0.384772	−	1.43599i
$460$	−5.41116	+	3.06609i	−0.252297	+	0.142957i
$461$	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	$-0.0722792\pi$
$462$	1.39133	+	0.803285i	0.0647306	+	0.0373722i
$463$	−31.3720	−	18.1126i	−1.45798	−	0.841764i	−0.459066	−	0.888402i	$-0.651816\pi$
$463$	−31.3720	−	18.1126i	−1.45798	−	0.841764i	−0.998912	+	0.0466378i	$0.985149\pi$
$464$	−1.42418	+	5.31511i	−0.0661158	+	0.246748i
$465$	−5.23440	+	2.96594i	−0.242740	+	0.137542i
$466$	2.58645	−	9.65275i	0.119815	−	0.447155i
$467$	−10.1557			−0.469951			−0.234976	−	0.972001i	$-0.575501\pi$
$467$	−10.1557			−0.469951			−0.234976	+	0.972001i	$0.575501\pi$
$468$	−2.22368	+	3.85153i	−0.102790	+	0.178037i
$469$	−6.93549	−	12.0126i	−0.320251	−	0.554691i
$470$	−8.25411	−	8.38862i	−0.380734	−	0.386938i
$471$			23.3772i			1.07716i
$472$	0.263737	−	0.984278i	0.0121395	−	0.0453051i
$473$	−6.40622			−0.294559
$474$	−6.73070	+	11.6579i	−0.309151	+	0.535466i
$475$	−20.6607	+	20.0033i	−0.947977	+	0.917816i
$476$	1.82065	+	6.79474i	0.0834492	+	0.311437i
$477$	2.36280	+	8.81809i	0.108185	+	0.403752i
$478$	−5.09670	+	1.36566i	−0.233118	+	0.0624637i
$479$	−21.2431	−	5.69208i	−0.970624	−	0.260078i	−0.261533	−	0.965195i	$-0.584228\pi$
$479$	−21.2431	−	5.69208i	−0.970624	−	0.260078i	−0.709091	+	0.705117i	$0.750895\pi$
$480$	−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
$483$	−1.83450	−	3.17744i	−0.0834725	−	0.144579i
$484$	4.75833	−	8.24167i	0.216288	−	0.374621i
$485$	9.19919	−	15.6402i	0.417714	−	0.710184i
$486$	14.6020	−	3.91258i	0.662358	−	0.177478i
$487$	−14.3643			−0.650907			−0.325454	−	0.945558i	$-0.605517\pi$
$487$	−14.3643			−0.650907			−0.325454	+	0.945558i	$0.605517\pi$
$488$	2.55464	−	0.684514i	0.115643	−	0.0309865i
$489$	−13.9224	+	13.9224i	−0.629594	+	0.629594i
$490$	6.19418	+	10.9317i	0.279824	+	0.493845i
$491$	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
$493$	8.52530	−	31.8169i	0.383960	−	1.43296i
$494$	−3.80493	−	14.2002i	−0.171192	−	0.638897i
$495$	−4.73832	−	0.0382959i	−0.212972	−	0.00172127i
$496$	−2.31522	−	0.620361i	−0.103956	−	0.0278550i
$497$	−5.78186	−	1.54925i	−0.259352	−	0.0694932i
$498$	−16.8855	+	9.74885i	−0.756658	+	0.436856i
$499$	39.9401	−	10.7019i	1.78796	−	0.479084i	0.795967	−	0.605340i	$-0.206963\pi$
$499$	39.9401	−	10.7019i	1.78796	−	0.479084i	0.991998	+	0.126257i	$0.0402963\pi$
$500$	−5.82326	+	9.54409i	−0.260424	+	0.426825i
$501$	−20.0049	−	5.36029i	−0.893752	−	0.239480i
$502$	5.20050	−	19.4085i	0.232109	−	0.866244i
$503$	−31.0320	+	17.9163i	−1.38365	+	0.798850i	−0.992589	−	0.121516i	$-0.961224\pi$
$503$	−31.0320	+	17.9163i	−1.38365	+	0.798850i	−0.391059	+	0.920366i	$0.627891\pi$
$504$	−1.44578	+	1.44578i	−0.0644003	+	0.0644003i
$505$	−6.61734	−	3.89217i	−0.294468	−	0.173199i
$506$	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	$0.145633\pi$
$509$	18.7509	+	32.4776i	0.831120	+	1.43954i	−0.0660305	+	0.997818i	$0.521033\pi$
$510$	10.5383	+	10.7101i	0.466646	+	0.474250i
$511$	8.53756	+	4.92916i	0.377679	+	0.218053i
$512$		−	1.00000i		−	0.0441942i
$513$	−15.3010	+	26.5022i	−0.675557	+	1.17010i
$514$	6.18360	+	3.57011i	0.272747	+	0.157471i
$515$	−2.28229	+	3.88028i	−0.100570	+	0.170986i
$516$	−1.52818	+	5.70324i	−0.0672743	+	0.251071i
$517$	4.53256	+	4.53256i	0.199342	+	0.199342i
$518$	−2.82926	−	6.56424i	−0.124311	−	0.288416i
$519$		−	9.08230i		−	0.398669i
$520$	−2.81765	−	4.97270i	−0.123562	−	0.218067i
$521$	−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	$0.859433\pi$
$522$	9.24796	−	2.47798i	0.404772	−	0.108458i
$523$	9.38195	+	5.41667i	0.410244	+	0.236855i	0.690895	−	0.722955i	$-0.257217\pi$
$523$	9.38195	+	5.41667i	0.410244	+	0.236855i	−0.280651	+	0.959810i	$0.590550\pi$
$524$	9.92545	−	9.92545i	0.433595	−	0.433595i
$525$	−5.65785	−	3.38966i	−0.246929	−	0.147937i
$526$	1.01586	+	1.01586i	0.0442936	+	0.0442936i
$527$	13.8592	+	3.71355i	0.603715	+	0.161765i
$528$	0.966720	+	0.966720i	0.0420711	+	0.0420711i
$529$	15.2637			0.663638
$530$	−11.3076	−	3.12802i	−0.491170	−	0.135873i
$531$	−1.71258	+	0.458886i	−0.0743198	+	0.0199139i
$532$		−	6.75875i		−	0.293029i
$533$	−12.1854	−	21.1058i	−0.527809	−	0.914193i
$534$	−5.69822	+	3.28987i	−0.246586	+	0.142367i
$535$	5.94795	+	1.64538i	0.257152	+	0.0711361i
$536$	−3.05506	−	11.4016i	−0.131958	−	0.492475i
$537$	8.74345	−	15.1441i	0.377308	−	0.653516i
$538$	−8.13735	−	14.0943i	−0.350826	−	0.607649i
$539$	−3.42180	−	5.92674i	−0.147388	−	0.255283i
$540$	−3.17206	+	11.4668i	−0.136504	+	0.493452i
$541$	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	$0.583085\pi$
$542$	−4.02093	−	2.32149i	−0.172714	−	0.0997164i
$543$	15.2977	+	4.09900i	0.656485	+	0.175905i
$544$			5.98612i			0.256653i
$545$	7.39626	−	7.27766i	0.316821	−	0.311741i
$546$	2.91997	−	1.68585i	0.124963	−	0.0721476i
$547$			9.78804i			0.418506i	0.977861	+	0.209253i	$0.0671033\pi$
$547$			9.78804i			0.418506i	−0.977861	+	0.209253i	$0.932897\pi$
$548$	−1.47858	−	5.51812i	−0.0631616	−	0.235722i
$549$	−3.25391	−	3.25391i	−0.138873	−	0.138873i
$550$	3.12965	−	5.22386i	0.133449	−	0.222746i
$551$	−15.8241	+	27.4082i	−0.674131	+	1.16763i
$552$	−0.808089	−	3.01583i	−0.0343945	−	0.128362i
$553$	−12.2042	+	7.04610i	−0.518975	+	0.299631i
$554$	10.4474			0.443868
$555$	−12.1700	−	9.21964i	−0.516589	−	0.391352i
$556$	13.1651			0.558324
$557$	26.9950	−	15.5856i	1.14382	−	0.660383i	0.196443	−	0.980515i	$-0.437061\pi$
$557$	26.9950	−	15.5856i	1.14382	−	0.660383i	0.947373	+	0.320133i	$0.103727\pi$
$558$	1.07939	+	4.02834i	0.0456942	+	0.170533i
$559$	−6.72235	+	11.6434i	−0.284325	+	0.492465i
$560$	−0.659553	−	2.54354i	−0.0278712	−	0.107484i
$561$	−5.78690	−	5.78690i	−0.244323	−	0.244323i
$562$	2.58974	+	9.66505i	0.109242	+	0.407696i
$563$		−	18.1010i		−	0.762866i	−0.924397	−	0.381433i	$-0.875431\pi$
$563$		−	18.1010i		−	0.762866i	0.924397	−	0.381433i	$-0.124569\pi$
$564$	5.11641	−	2.95396i	0.215440	−	0.124384i
$565$	31.4666	+	0.254319i	1.32381	+	0.0106993i
$566$			22.2426i			0.934927i
$567$	−0.854485	−	0.228959i	−0.0358850	−	0.00961535i
$568$	−4.41134	−	2.54689i	−0.185096	−	0.106865i
$569$	1.36824	+	1.36824i	0.0573595	+	0.0573595i	0.735205	−	0.677845i	$-0.237086\pi$
$569$	1.36824	+	1.36824i	0.0573595	+	0.0573595i	−0.677845	+	0.735205i	$0.737086\pi$
$570$	−7.11699	−	12.5603i	−0.298098	−	0.526094i
$571$	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	$0.682309\pi$
$572$	1.55653	+	2.69600i	0.0650819	+	0.112725i
$573$	2.64974	−	4.58949i	0.110695	−	0.191729i
$574$	−2.89990	−	10.8226i	−0.121039	−	0.451725i
$575$	−12.1547	+	6.75798i	−0.506888	+	0.281827i
$576$	−1.50683	+	0.869970i	−0.0627846	+	0.0362487i
$577$	−14.4221	−	24.9799i	−0.600402	−	1.03993i	−0.992760	−	0.120114i	$-0.961674\pi$
$577$	−14.4221	−	24.9799i	−0.600402	−	1.03993i	0.392359	−	0.919812i	$-0.371659\pi$
$578$		−	18.8336i		−	0.783375i
$579$	5.76902	−	1.54581i	0.239752	−	0.0642415i
$580$	−3.28051	+	11.8588i	−0.136216	+	0.492411i
$581$	−20.4114			−0.846806
$582$	6.44099	+	6.44099i	0.266987	+	0.266987i
$583$	6.17249	+	1.65391i	0.255638	+	0.0684981i
$584$	5.93204	+	5.93204i	0.245469	+	0.245469i
$585$	−5.04174	+	8.57182i	−0.208450	+	0.354401i
$586$	21.4389	−	21.4389i	0.885632	−	0.885632i
$587$	5.94926	+	3.43481i	0.245552	+	0.141770i	0.617726	−	0.786393i	$-0.288054\pi$
$587$	5.94926	+	3.43481i	0.245552	+	0.141770i	−0.372174	+	0.928163i	$0.621387\pi$
$588$	−6.09263	+	1.63252i	−0.251256	+	0.0673238i
$589$	−11.9388	−	6.89287i	−0.491930	−	0.284016i
$590$	0.607501	−	2.19607i	0.0250104	−	0.0904110i
$591$		−	23.0029i		−	0.946211i
$592$	−0.879826	−	6.01880i	−0.0361606	−	0.247371i
$593$	29.5909	+	29.5909i	1.21515	+	1.21515i	0.969309	+	0.245845i	$0.0790656\pi$
$593$	29.5909	+	29.5909i	1.21515	+	1.21515i	0.245845	+	0.969309i	$0.420934\pi$
$594$	1.67720	−	6.25939i	0.0688163	−	0.256826i
$595$	3.94816	+	15.2259i	0.161859	+	0.624202i
$596$	5.23218	+	3.02080i	0.214318	+	0.123737i
$597$	−15.2324	+	26.3833i	−0.623420	+	1.07980i
$598$		−	7.10945i		−	0.290727i
$599$	−23.9589	−	13.8326i	−0.978932	−	0.565187i	−0.0769846	−	0.997032i	$-0.524529\pi$
$599$	−23.9589	−	13.8326i	−0.978932	−	0.565187i	−0.901948	+	0.431846i	$0.857863\pi$
$600$	−3.90406	−	4.03235i	−0.159382	−	0.164620i
$601$	−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
$605$	10.7885	−	18.3423i	0.438617	−	0.745722i
$606$	2.72517	−	2.72517i	0.110703	−	0.110703i
$607$	13.0395	−	7.52838i	0.529258	−	0.305567i	−0.211456	−	0.977387i	$-0.567821\pi$
$607$	13.0395	−	7.52838i	0.529258	−	0.305567i	0.740714	+	0.671820i	$0.234487\pi$
$608$	1.48860	−	5.55553i	0.0603707	−	0.225307i
$609$	−7.01119	−	1.87864i	−0.284108	−	0.0761265i
$610$	5.72454	−	1.48440i	0.231780	−	0.0601018i
$611$	12.9943	−	3.48180i	0.525691	−	0.140859i
$612$	9.02007	−	5.20774i	0.364615	−	0.210510i
$613$	−16.4142	−	4.39816i	−0.662962	−	0.177640i	−0.0883795	−	0.996087i	$-0.528169\pi$
$613$	−16.4142	−	4.39816i	−0.662962	−	0.177640i	−0.574582	+	0.818447i	$0.694835\pi$
$614$	2.35268	+	0.630400i	0.0949466	+	0.0254409i
$615$	−16.7853	−	17.0588i	−0.676849	−	0.687879i
$616$	0.370425	+	1.38244i	0.0149248	+	0.0557003i
$617$	−1.58486	+	5.91477i	−0.0638040	+	0.238120i	−0.990462	−	0.137786i	$-0.956002\pi$
$617$	−1.58486	+	5.91477i	−0.0638040	+	0.238120i	0.926658	+	0.375905i	$0.122668\pi$
$618$	−1.59799	−	1.59799i	−0.0642806	−	0.0642806i
$619$	41.0045			1.64811			0.824055	−	0.566510i	$-0.191707\pi$
$619$	41.0045			1.64811			0.824055	+	0.566510i	$0.191707\pi$
$620$	−5.16560	−	1.42896i	−0.207456	−	0.0573885i
$621$	−10.4646	+	10.4646i	−0.419928	+	0.419928i
$622$	24.6877	−	6.61505i	0.989887	−	0.265239i
$623$	−6.88806			−0.275964
$624$	2.77146	−	0.742610i	0.110947	−	0.0297282i
$625$	−13.1933	+	21.2353i	−0.527731	+	0.849412i
$626$	4.40247	−	7.62529i	0.175958	−	0.304768i
$627$	3.93159	+	6.80971i	0.157012	+	0.271954i
$628$	−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	$0.292416\pi$
$632$	−11.5835	+	3.10378i	−0.460765	+	0.123462i
$633$	1.57098	+	5.86297i	0.0624408	+	0.233032i
$634$	0.155442	+	0.580119i	0.00617341	+	0.0230395i
$635$	14.1406	−	13.9139i	0.561154	−	0.552156i
$636$	2.94484	−	5.10062i	0.116771	−	0.202253i
$637$	−14.3626			−0.569068
$638$	1.73454	−	6.47339i	0.0686711	−	0.256284i
$639$			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	$-0.461009\pi$
$642$	−1.54903	+	2.68300i	−0.0611353	+	0.105890i
$643$	40.2683			1.58803			0.794013	−	0.607901i	$-0.207988\pi$
$643$	40.2683			1.58803			0.794013	+	0.607901i	$0.207988\pi$
$644$	0.845955	−	3.15715i	0.0333353	−	0.124409i
$645$	−3.52007	+	12.7248i	−0.138603	+	0.501039i
$646$	−8.91094	+	33.2561i	−0.350596	+	1.30844i
$647$	7.62448	+	4.40199i	0.299749	+	0.173060i	0.642330	−	0.766428i	$-0.277968\pi$
$647$	7.62448	+	4.40199i	0.299749	+	0.173060i	−0.342581	+	0.939488i	$0.611301\pi$
$648$	−0.651939	−	0.376397i	−0.0256106	−	0.0147863i
$649$	−0.321211	+	1.19878i	−0.0126086	+	0.0470560i
$650$	−6.21038	−	11.1698i	−0.243591	−	0.438117i
$651$	0.818322	−	3.05402i	0.0320726	−	0.119696i
$652$	−17.5402			−0.686927
$653$	−23.8168	+	41.2518i	−0.932022	+	1.61431i	−0.152161	+	0.988356i	$0.548623\pi$
$653$	−23.8168	+	41.2518i	−0.932022	+	1.61431i	−0.779861	+	0.625953i	$0.784710\pi$
$654$	2.60451	+	4.51114i	0.101844	+	0.176400i
$655$	22.3726	−	22.0139i	0.874171	−	0.860154i
$656$		−	9.53459i		−	0.372263i
$657$	3.77789	−	14.0993i	0.147389	−	0.550065i
$658$	6.18476			0.241107
$659$	−0.621788	+	1.07697i	−0.0242214	+	0.0419528i	−0.877882	−	0.478877i	$-0.841044\pi$
$659$	−0.621788	+	1.07697i	−0.0242214	+	0.0419528i	0.853661	+	0.520830i	$0.174377\pi$
$660$	2.14411	+	2.17905i	0.0834594	+	0.0848195i
$661$	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	$0.651087\pi$
$662$	−2.38651	−	8.90659i	−0.0927545	−	0.346164i
$663$	−16.5903	+	4.44535i	−0.644313	+	0.172643i
$664$	−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
$668$	−9.22500	−	15.9782i	−0.356926	−	0.618214i
$669$	5.22963	−	9.05798i	0.202189	−	0.350202i
$670$	−6.62504	−	25.5492i	−0.255948	−	0.987051i
$671$	−3.11136	+	0.833686i	−0.120113	+	0.0321841i
$672$	1.31911			0.0508856
$673$	2.76170	−	0.739996i	0.106456	−	0.0285248i	−0.205198	−	0.978721i	$-0.565784\pi$
$673$	2.76170	−	0.739996i	0.106456	−	0.0285248i	0.311654	+	0.950196i	$0.399117\pi$
$674$	−16.6530	+	16.6530i	−0.641450	+	0.641450i
$675$	−7.29994	+	25.5823i	−0.280975	+	0.984665i
$676$	−6.46663			−0.248717
$677$	−12.5546	−	12.5546i	−0.482511	−	0.482511i	0.423422	−	0.905933i	$-0.360829\pi$
$677$	−12.5546	−	12.5546i	−0.482511	−	0.482511i	−0.905933	+	0.423422i	$0.860829\pi$
$678$	−4.08857	+	15.2588i	−0.157021	+	0.586009i
$679$	2.46804	+	9.21084i	0.0947146	+	0.353480i
$680$	−0.108179	+	13.3849i	−0.00414848	+	0.513289i
$681$	−20.2747	−	5.43258i	−0.776927	−	0.208177i
$682$	2.81976	+	0.755552i	0.107974	+	0.0289316i
$683$	−0.0997628	+	0.0575981i	−0.00381732	+	0.00220393i	−0.501907	−	0.864921i	$-0.667368\pi$
$683$	−0.0997628	+	0.0575981i	−0.00381732	+	0.00220393i	0.498090	+	0.867125i	$0.334035\pi$
$684$	−9.66629	+	2.59008i	−0.369600	+	0.0990340i
$685$	−3.20637	−	12.3652i	−0.122509	−	0.472450i
$686$	−14.3237	−	3.83803i	−0.546882	−	0.146537i
$687$	2.28571	−	8.53040i	0.0872054	−	0.325455i
$688$	−4.55526	+	2.62998i	−0.173668	+	0.100267i
$689$	9.48309	−	9.48309i	0.361277	−	0.361277i
$690$	−1.75238	−	6.75798i	−0.0667120	−	0.257272i
$691$	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
$695$	29.4371	+	0.237915i	1.11661	+	0.00902464i
$696$	−5.34927	−	3.08840i	−0.202764	−	0.117066i
$697$			57.0752i			2.16188i
$698$	15.6654	−	27.1332i	0.592944	−	1.02701i
$699$	9.71479	+	5.60884i	0.367447	+	0.212146i
$700$	−1.42879	−	5.69926i	−0.0540032	−	0.215412i
$701$	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
$703$	4.07168	−	34.7473i	0.153566	−	1.31052i
$704$			1.21792i			0.0459022i
$705$	11.4936	−	6.51258i	0.432876	−	0.245278i
$706$	−3.27725	−	1.89212i	−0.123341	−	0.0712108i
$707$	3.89710	−	1.04422i	0.146565	−	0.0392721i
$708$	0.990605	+	0.571926i	0.0372292	+	0.0214943i
$709$	−3.22825	+	3.22825i	−0.121239	+	0.121239i	−0.765123	−	0.643884i	$-0.777322\pi$
$709$	−3.22825	+	3.22825i	−0.121239	+	0.121239i	0.643884	+	0.765123i	$0.277322\pi$
$710$	−9.81771	−	5.77455i	−0.368452	−	0.216715i
$711$	14.7541	+	14.7541i	0.553323	+	0.553323i
$712$	−5.66183	−	1.51708i	−0.212186	−	0.0568550i
$713$	−4.71411	−	4.71411i	−0.176545	−	0.176545i
$714$	−7.89633			−0.295513
$715$	3.43168	+	6.05636i	0.128338	+	0.226495i
$716$	15.0474	−	4.03193i	0.562347	−	0.150680i
$717$		−	5.92299i		−	0.221198i
$718$	−5.89768	−	10.2151i	−0.220099	−	0.381223i
$719$	−19.6463	+	11.3428i	−0.732682	+	0.423014i	−0.819402	−	0.573219i	$-0.805695\pi$
$719$	−19.6463	+	11.3428i	−0.732682	+	0.423014i	0.0867206	+	0.996233i	$0.472361\pi$
$720$	−3.38499	+	1.91802i	−0.126151	+	0.0714803i
$721$	−0.612313	−	2.28518i	−0.0228037	−	0.0851047i
$722$	7.03995	−	12.1936i	0.262000	−	0.453797i
$723$	14.1876	+	24.5737i	0.527643	+	0.913905i
$724$	7.05432	+	12.2184i	0.262172	+	0.454095i
$725$	−7.54951	+	26.4570i	−0.280382	+	0.982587i
$726$	7.55380	+	7.55380i	0.280348	+	0.280348i
$727$	−30.6783	−	17.7121i	−1.13780	−	0.656907i	−0.191912	−	0.981412i	$-0.561469\pi$
$727$	−30.6783	−	17.7121i	−1.13780	−	0.656907i	−0.945884	+	0.324505i	$0.894802\pi$
$728$	2.90133	+	0.777408i	0.107530	+	0.0288126i
$729$			19.2277i			0.712135i
$730$	13.1568	+	13.3712i	0.486955	+	0.494891i
$731$	27.2683	−	15.7434i	1.00855	−	0.582289i
$732$			2.96881i			0.109730i
$733$	−6.55522	−	24.4644i	−0.242123	−	0.903614i	−0.974808	−	0.223047i	$-0.928400\pi$
$733$	−6.55522	−	24.4644i	−0.242123	−	0.903614i	0.732685	−	0.680568i	$-0.238267\pi$
$734$	10.2134	+	10.2134i	0.376983	+	0.376983i
$735$	−13.6526	+	3.54019i	−0.503584	+	0.130582i
$736$	1.39071	−	2.40878i	0.0512623	−	0.0887889i
$737$	3.72082	+	13.8863i	0.137058	+	0.511508i
$738$	−14.3670	+	8.29480i	−0.528857	+	0.305336i
$739$	30.1256			1.10819			0.554094	−	0.832454i	$-0.313065\pi$
$739$	30.1256			1.10819			0.554094	+	0.832454i	$0.313065\pi$
$740$	−1.85852	−	13.4739i	−0.0683205	−	0.495310i
$741$	16.5024			0.606230
$742$	5.33963	−	3.08284i	0.196024	−	0.113175i
$743$	10.0096	+	37.3562i	0.367215	+	1.37047i	0.864393	+	0.502817i	$0.167703\pi$
$743$	10.0096	+	37.3562i	0.367215	+	1.37047i	−0.497178	+	0.867649i	$0.665630\pi$
$744$	1.34528	−	2.33010i	0.0493205	−	0.0854256i
$745$	11.6445	+	6.84905i	0.426623	+	0.250930i
$746$	−15.7220	−	15.7220i	−0.575623	−	0.575623i
$747$	7.82200	+	29.1921i	0.286192	+	1.06808i
$748$		−	7.29063i		−	0.266572i
$749$	−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	$0.868932\pi$
$752$	5.08373	+	1.36218i	0.185385	+	0.0496737i
$753$	19.5333	+	11.2775i	0.711832	+	0.410976i
$754$	−9.94539	−	9.94539i	−0.362190	−	0.362190i
$755$	23.2674	−	13.1839i	0.846787	−	0.479810i
$756$	−3.12624	−	5.41481i	−0.113700	−	0.196935i
$757$	−18.8238	−	32.6038i	−0.684163	−	1.18501i	−0.973699	−	0.227838i	$-0.926834\pi$
$757$	−18.8238	−	32.6038i	−0.684163	−	1.18501i	0.289536	−	0.957167i	$-0.406499\pi$
$758$	−14.3700	+	24.8895i	−0.521941	+	0.904029i
$759$	0.984190	+	3.67305i	0.0357238	+	0.133323i
$760$	3.42890	−	12.3952i	0.124379	−	0.449623i
$761$	−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	$0.430396\pi$
$762$	4.97947	+	8.62469i	0.180387	+	0.312440i
$763$			5.45311i			0.197416i
$764$	4.56018	−	1.22190i	0.164981	−	0.0442066i
$765$	20.2629	−	11.4815i	0.732608	−	0.415114i
$766$	20.3077			0.733747
$767$	1.84174	+	1.84174i	0.0665013	+	0.0665013i
$768$	1.08428	+	0.290531i	0.0391254	+	0.0104836i
$769$	−27.7261	−	27.7261i	−0.999827	−	0.999827i	0.000172997	−	1.00000i	$-0.499945\pi$
$769$	−27.7261	−	27.7261i	−0.999827	−	0.999827i	−1.00000		0.000172997i	$0.999945\pi$
$770$	0.803285	+	3.09783i	0.0289484	+	0.111638i
$771$	−5.66750	+	5.66750i	−0.204110	+	0.204110i
$772$	4.60780	+	2.66031i	0.165838	+	0.0957468i
$773$	33.4607	−	8.96576i	1.20350	−	0.322476i	0.399290	−	0.916825i	$-0.369257\pi$
$773$	33.4607	−	8.96576i	1.20350	−	0.322476i	0.804207	+	0.594349i	$0.202590\pi$
$774$	7.92587	+	4.57600i	0.284889	+	0.164481i
$775$	−11.5244	−	3.28850i	−0.413970	−	0.118127i
$776$			8.11468i			0.291300i
$777$	7.93943	−	1.16058i	0.284826	−	0.0416357i
$778$	19.8049	+	19.8049i	0.710041	+	0.710041i
$779$	14.1932	−	52.9698i	0.508524	−	1.89784i
$780$	6.21038	−	1.61039i	0.222367	−	0.0576611i
$781$	5.37268	+	3.10192i	0.192249	+	0.110995i
$782$	−8.32496	+	14.4193i	−0.297700	+	0.515632i
$783$			29.2777i			1.04630i
$784$	−4.86627	−	2.80954i	−0.173795	−	0.100341i
$785$	−33.1932	+	32.6609i	−1.18471	+	1.16572i
$786$	7.87827	+	13.6456i	0.281009	+	0.486721i
$787$	−34.9771	+	34.9771i	−1.24680	+	1.24680i	−0.289675	+	0.957125i	$0.593547\pi$
$787$	−34.9771	+	34.9771i	−1.24680	+	1.24680i	−0.957125	+	0.289675i	$0.906453\pi$
$788$	14.4901	−	14.4901i	0.516188	−	0.516188i
$789$	−1.39661	+	0.806333i	−0.0497206	+	0.0287062i
$790$	−25.9567	+	6.73070i	−0.923496	+	0.239468i
$791$	−11.6936	+	11.6936i	−0.415777	+	0.415777i
$792$	1.83521	−	1.05956i	0.0652112	−	0.0376497i
$793$	−1.74965	+	6.52978i	−0.0621319	+	0.231879i
$794$	5.82883	+	1.56183i	0.206857	+	0.0554272i
$795$	6.67683	−	11.3517i	0.236803	−	0.402605i
$796$	−26.2148	+	7.02422i	−0.929158	+	0.248967i
$797$	−23.7124	+	13.6903i	−0.839936	+	0.484937i	−0.857242	−	0.514913i	$-0.827824\pi$
$797$	−23.7124	+	13.6903i	−0.839936	+	0.484937i	0.0173068	+	0.999850i	$0.494491\pi$
$798$	7.32834	+	1.96362i	0.259420	+	0.0695115i
$799$	−30.4318	−	8.15418i	−1.07660	−	0.288474i
$800$	0.0808164	−	4.99935i	0.00285729	−	0.176754i
$801$	2.63963	+	9.85123i	0.0932667	+	0.348076i
$802$	−5.09379	+	19.0103i	−0.179868	+	0.671277i
$803$	−7.22477	−	7.22477i	−0.254956	−	0.254956i
$804$	13.2501			0.467294
$805$	1.94861	−	7.04408i	0.0686794	−	0.248271i
$806$	4.33213	−	4.33213i	0.152593	−	0.152593i
$807$	17.6463	−	4.72830i	0.621178	−	0.166444i
$808$	3.43331			0.120783
$809$	22.4939	−	6.02723i	0.790845	−	0.211906i	0.159284	−	0.987233i	$-0.449081\pi$
$809$	22.4939	−	6.02723i	0.790845	−	0.211906i	0.631561	+	0.775327i	$0.282415\pi$
$810$	−1.45093	−	0.853404i	−0.0509805	−	0.0299856i
$811$	−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	$0.313596\pi$
$812$	−3.23312	−	5.59993i	−0.113460	−	0.196519i
$813$	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
$817$	−29.2219	+	7.82998i	−1.02234	+	0.273936i
$818$	−2.96372	−	11.0608i	−0.103624	−	0.386731i
$819$	−1.35264	−	5.04813i	−0.0472651	−	0.176396i
$820$	0.172306	−	21.3193i	0.00601719	−	0.744502i
$821$	−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	$0.953301\pi$
$822$	6.41273			0.223670
$823$	9.95659	−	37.1585i	0.347065	−	1.29526i	−0.543117	−	0.839657i	$-0.682756\pi$
$823$	9.95659	−	37.1585i	0.347065	−	1.29526i	0.890182	−	0.455606i	$-0.150577\pi$
$824$		−	2.01323i		−	0.0701342i
$825$	4.75484	+	4.91110i	0.165542	+	0.170982i
$826$	0.598726	+	1.03702i	0.0208323	+	0.0360827i
$827$	−16.7878	+	29.0772i	−0.583767	+	1.01111i	0.411260	+	0.911518i	$0.365089\pi$
$827$	−16.7878	+	29.0772i	−0.583767	+	1.01111i	−0.995028	+	0.0995970i	$0.968245\pi$
$828$	−4.83951			−0.168185
$829$	−5.93589	+	22.1530i	−0.206162	+	0.769407i	0.782930	+	0.622109i	$0.213724\pi$
$829$	−5.93589	+	22.1530i	−0.206162	+	0.769407i	−0.989092	+	0.147297i	$0.952943\pi$
$830$	−37.4335	−	10.3553i	−1.29934	−	0.359436i
$831$	−3.03529	+	11.3279i	−0.105293	+	0.392960i
$832$	2.21360	+	1.27802i	0.0767428	+	0.0443075i
$833$	29.1300	+	16.8182i	1.00930	+	0.582717i
$834$	−3.82486	+	14.2746i	−0.132444	+	0.494288i
$835$	−20.3383	−	35.8938i	−0.703836	−	1.24216i
$836$	−1.81300	+	6.76622i	−0.0627040	+	0.234014i
$837$	−12.7531			−0.440812
$838$	−1.65454	+	2.86575i	−0.0571551	+	0.0989955i
$839$	4.80040	+	8.31453i	0.165728	+	0.287050i	0.936914	−	0.349561i	$-0.113669\pi$
$839$	4.80040	+	8.31453i	0.165728	+	0.287050i	−0.771185	+	0.636611i	$0.780336\pi$
$840$	2.94952	+	0.0238385i	0.101768	+	0.000822505i
$841$			1.27865i			0.0440914i
$842$	6.66598	−	24.8778i	0.229725	−	0.857344i
$843$	−11.2320			−0.386850
$844$	−2.70364	+	4.68284i	−0.0930630	+	0.161190i
$845$	−14.4594	−	0.116863i	−0.497417	−	0.00402021i
$846$	−2.37011	−	8.84538i	−0.0814862	−	0.304111i
$847$	2.89444	+	10.8022i	0.0994542	+	0.371168i
$848$	5.06804	−	1.35798i	0.174037	−	0.0466332i
$849$	−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
$853$	16.4902	+	28.5619i	0.564614	+	0.977939i	0.997086	+	0.0762921i	$0.0243081\pi$
$853$	16.4902	+	28.5619i	0.564614	+	0.977939i	−0.432472	+	0.901647i	$0.642359\pi$
$854$	−1.55396	+	2.69154i	−0.0531755	+	0.0921027i
$855$	−21.6606	+	5.61671i	−0.740776	+	0.192087i
$856$	−2.66586	+	0.714316i	−0.0911173	+	0.0244148i
$857$	−17.2326			−0.588656			−0.294328	−	0.955705i	$-0.595096\pi$
$857$	−17.2326			−0.588656			−0.294328	+	0.955705i	$0.595096\pi$
$858$	−3.37542	+	0.904442i	−0.115235	+	0.0308771i
$859$	−3.66697	+	3.66697i	−0.125115	+	0.125115i	−0.766892	−	0.641776i	$-0.778198\pi$
$859$	−3.66697	+	3.66697i	−0.125115	+	0.125115i	0.641776	+	0.766892i	$0.278198\pi$
$860$	−10.2331	+	5.79830i	−0.348944	+	0.197720i
$861$	12.5771			0.428628
$862$	−15.5889	−	15.5889i	−0.530962	−	0.530962i
$863$	0.777957	−	2.90337i	0.0264820	−	0.0988320i	−0.951420	−	0.307896i	$-0.900375\pi$
$863$	0.777957	−	2.90337i	0.0264820	−	0.0988320i	0.977902	+	0.209064i	$0.0670417\pi$
$864$	−1.37710	−	5.13940i	−0.0468498	−	0.174846i
$865$	12.8959	−	12.6891i	0.438474	−	0.431443i
$866$	10.9215	+	2.92640i	0.371127	+	0.0994431i
$867$	20.4208	+	5.47174i	0.693527	+	0.185830i
$868$	2.43929	−	1.40832i	0.0827947	−	0.0478016i
$869$	14.1078	−	3.78017i	0.478573	−	0.128233i
$870$	−11.9051	−	7.00232i	−0.403622	−	0.237401i
$871$	29.1431	+	7.80886i	0.987475	+	0.264593i
$872$	−1.20104	+	4.48233i	−0.0406723	+	0.151791i
$873$	12.2275	−	7.05953i	0.413837	−	0.238929i
$874$	11.3119	−	11.3119i	0.382630	−	0.382630i
$875$	−3.09178	−	12.7693i	−0.104521	−	0.431682i
$876$	−8.15540	+	4.70852i	−0.275545	+	0.159086i
$877$	−14.8433	+	14.8433i	−0.501221	+	0.501221i	−0.911817	−	0.410596i	$-0.865321\pi$
$877$	−14.8433	+	14.8433i	−0.501221	+	0.501221i	0.410596	+	0.911817i	$0.365321\pi$
$878$	15.0490	−	15.0490i	0.507878	−	0.507878i
$879$	17.0170	+	29.4743i	0.573969	+	0.994144i
$880$	−0.0220099	+	2.72327i	−0.000741954	+	0.0918014i
$881$	−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	$0.888091\pi$
$882$			9.77686i			0.329204i
$883$	−9.98680	+	17.2976i	−0.336083	+	0.582112i	−0.983692	−	0.179860i	$-0.942435\pi$
$883$	−9.98680	+	17.2976i	−0.336083	+	0.582112i	0.647610	+	0.761972i	$0.275769\pi$
$884$	−13.2509	−	7.65039i	−0.445675	−	0.257311i
$885$	2.20465	+	1.29673i	0.0741086	+	0.0435890i
$886$	−2.72486	+	10.1693i	−0.0915436	+	0.341645i
$887$	−5.33741	−	5.33741i	−0.179213	−	0.179213i	0.611800	−	0.791013i	$-0.290446\pi$
$887$	−5.33741	−	5.33741i	−0.179213	−	0.179213i	−0.791013	+	0.611800i	$0.790446\pi$
$888$	6.78165	+	0.794671i	0.227577	+	0.0266674i
$889$			10.4256i			0.349664i
$890$	−12.6324	−	3.49451i	−0.423439	−	0.117136i
$891$	0.794012	+	0.458423i	0.0266004	+	0.0153578i
$892$	9.00013	−	2.41158i	0.301347	−	0.0807456i
$893$	26.2151	+	15.1353i	0.877255	+	0.506483i
$894$	−4.79549	+	4.79549i	−0.160385	+	0.160385i
$895$	33.7187	−	8.74345i	1.12709	−	0.292261i
$896$	0.830939	+	0.830939i	0.0277597	+	0.0277597i
$897$	7.70860	+	2.06551i	0.257383	+	0.0689654i
$898$	15.5674	+	15.5674i	0.519492	+	0.519492i
$899$	−13.1891			−0.439882
$900$	−7.60348	+	4.22750i	−0.253449	+	0.140917i
$901$	−30.3379	+	8.12902i	−1.01070	+	0.270817i
$902$			11.6124i			0.386651i
$903$	−3.46922	−	6.00887i	−0.115448	−	0.199963i
$904$	−12.1874	+	7.03638i	−0.405346	+	0.234027i
$905$	15.5526	+	27.4479i	0.516987	+	0.912398i
$906$	3.47469	+	12.9677i	0.115439	+	0.430824i
$907$	−14.5901	+	25.2708i	−0.484457	+	0.839105i	−0.999841	−	0.0178551i	$-0.994316\pi$
$907$	−14.5901	+	25.2708i	−0.484457	+	0.839105i	0.515383	+	0.856960i	$0.327650\pi$
$908$	−9.34941	−	16.1937i	−0.310271	−	0.537405i
$909$	−2.98688	−	5.17342i	−0.0990684	−	0.171592i
$910$	6.47330	+	1.79071i	0.214588	+	0.0593615i
$911$	−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	$0.762544\pi$
$912$	5.59124	+	3.22811i	0.185145	+	0.106893i
$913$	20.4339	+	5.47525i	0.676264	+	0.181204i
$914$			13.6821i			0.452565i
$915$	−0.0536514	+	6.63824i	−0.00177366	+	0.219453i
$916$	6.81335	−	3.93369i	0.225119	−	0.129973i
$917$			16.4949i			0.544709i
$918$	8.24347	+	30.7650i	0.272075	+	1.01540i
$919$	−16.1247	−	16.1247i	−0.531906	−	0.531906i	0.389233	−	0.921139i	$-0.372740\pi$
$919$	−16.1247	−	16.1247i	−0.531906	−	0.531906i	−0.921139	+	0.389233i	$0.872740\pi$
$920$	3.15316	−	5.36090i	0.103956	−	0.176743i
$921$	−1.36705	+	2.36781i	−0.0450459	+	0.0780219i
$922$	5.21954	+	19.4796i	0.171896	+	0.641526i
$923$	11.2756	−	6.50996i	0.371141	−	0.214278i
$924$	−1.60657			−0.0528523
$925$	−3.91214	−	30.1612i	−0.128630	−	0.991693i
$926$	36.2252			1.19043
$927$	−3.03360	+	1.75145i	−0.0996364	+	0.0575251i
$928$	−1.42418	−	5.31511i	−0.0467510	−	0.174477i
$929$	−3.42693	+	5.93562i	−0.112434	+	0.194741i	−0.916751	−	0.399459i	$-0.869198\pi$
$929$	−3.42693	+	5.93562i	−0.112434	+	0.194741i	0.804317	+	0.594200i	$0.202531\pi$
$930$	3.05016	−	5.18578i	0.100019	−	0.170048i
$931$	−22.8524	−	22.8524i	−0.748958	−	0.748958i
$932$	2.58645	+	9.65275i	0.0847218	+	0.316186i
$933$			28.6902i			0.939273i
$934$	8.79512	−	5.07787i	0.287785	−	0.166153i
$935$	0.131754	−	16.3018i	0.00430882	−	0.533126i
$936$		−	4.44736i		−	0.145367i
$937$	9.01544	+	2.41568i	0.294522	+	0.0789168i	0.403054	−	0.915176i	$-0.367949\pi$
$937$	9.01544	+	2.41568i	0.294522	+	0.0789168i	−0.108533	+	0.994093i	$0.534615\pi$
$938$	12.0126	+	6.93549i	0.392226	+	0.226452i
$939$	6.98887	+	6.98887i	0.228073	+	0.228073i
$940$	11.3426	+	3.13770i	0.369954	+	0.102341i
$941$	−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	$-0.359183\pi$
$942$	−11.6886	−	20.2453i	−0.380835	−	0.659626i
$943$	13.2599	−	22.9668i	0.431801	−	0.747901i
$944$	0.263737	+	0.984278i	0.00858389	+	0.0320355i
$945$	−6.89241	−	12.1640i	−0.224210	−	0.395694i
$946$	5.54795	−	3.20311i	0.180380	−	0.104142i
$947$	−12.4099	−	21.4945i	−0.403267	−	0.698479i	0.590851	−	0.806781i	$-0.298792\pi$
$947$	−12.4099	−	21.4945i	−0.403267	−	0.698479i	−0.994118	+	0.108302i	$0.965459\pi$
$948$		−	13.4614i		−	0.437206i
$949$	−20.7124	+	5.54988i	−0.672354	+	0.180157i
$950$	7.89101	−	27.6537i	0.256018	−	0.897206i
$951$	−0.674169			−0.0218614
$952$	−4.97410	−	4.97410i	−0.161211	−	0.161211i
$953$	9.57998	+	2.56695i	0.310326	+	0.0831516i	0.410621	−	0.911806i	$-0.365312\pi$
$953$	9.57998	+	2.56695i	0.310326	+	0.0831516i	−0.100295	+	0.994958i	$0.531979\pi$
$954$	−6.45529	−	6.45529i	−0.208998	−	0.208998i
$955$	10.2186	−	2.64974i	0.330667	−	0.0857437i
$956$	3.73104	−	3.73104i	0.120671	−	0.120671i
$957$	6.51500	+	3.76144i	0.210600	+	0.121590i
$958$	21.2431	−	5.69208i	0.686335	−	0.183903i
$959$	5.81383	+	3.35661i	0.187738	+	0.108391i
$960$	2.41918	+	0.669220i	0.0780788	+	0.0215990i
$961$			25.2549i			0.814675i
$962$	14.4476	+	5.74457i	0.465811	+	0.185213i
$963$	3.39557	+	3.39557i	0.109421	+	0.109421i
$964$	−6.54244	+	24.4167i	−0.210718	+	0.786410i
$965$	10.2549	+	6.03172i	0.330118	+	0.194168i
$966$	3.17744	+	1.83450i	0.102233	+	0.0590240i
$967$	−25.1928	+	43.6352i	−0.810145	+	1.40321i	0.102616	+	0.994721i	$0.467279\pi$
$967$	−25.1928	+	43.6352i	−0.810145	+	1.40321i	−0.912762	+	0.408492i	$0.866055\pi$
$968$			9.51666i			0.305877i
$969$	−33.4698	−	19.3238i	−1.07521	−	0.620771i
$970$	−0.146646	+	18.1444i	−0.00470852	+	0.582581i
$971$	−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
$975$	13.9155	−	3.48858i	0.445652	−	0.111724i
$976$	−1.87013	+	1.87013i	−0.0598613	+	0.0598613i
$977$	−16.3041	+	9.41316i	−0.521613	+	0.301154i	−0.737595	−	0.675244i	$-0.764038\pi$
$977$	−16.3041	+	9.41316i	−0.521613	+	0.301154i	0.215981	+	0.976398i	$0.430705\pi$
$978$	5.09596	−	19.0184i	0.162951	−	0.608141i
$979$	6.89567	+	1.84769i	0.220387	+	0.0590524i
$980$	−10.8302	−	6.37006i	−0.345957	−	0.203484i
$981$	7.79898	−	2.08973i	0.249002	−	0.0667200i
$982$	−26.9337	+	15.5502i	−0.859488	+	0.496225i
$983$	11.2077	+	3.00311i	0.357471	+	0.0957842i	0.433085	−	0.901353i	$-0.357425\pi$
$983$	11.2077	+	3.00311i	0.357471	+	0.0957842i	−0.0756137	+	0.997137i	$0.524092\pi$
$984$	10.3381	+	2.77009i	0.329567	+	0.0883073i
$985$	32.6616	−	32.1379i	1.04069	−	1.02400i
$986$	8.52530	+	31.8169i	0.271501	+	1.01326i
$987$	−1.79686	+	6.70598i	−0.0571948	+	0.213454i
$988$	10.3953	+	10.3953i	0.330718	+	0.330718i
$989$	−14.6302			−0.465212
$990$	4.12266	−	2.33600i	0.131027	−	0.0742429i
$991$	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	$0.198840\pi$
$992$	2.31522	−	0.620361i	0.0735082	−	0.0196965i
$993$	10.3505			0.328465
$994$	5.78186	−	1.54925i	0.183390	−	0.0491391i
$995$	−58.7430	+	15.2324i	−1.86228	+	0.482899i
$996$	9.74885	−	16.8855i	0.308904	−	0.535038i
$997$	1.82934	+	3.16850i	0.0579356	+	0.100347i	0.893539	−	0.448986i	$-0.148215\pi$
$997$	1.82934	+	3.16850i	0.0579356	+	0.100347i	−0.835603	+	0.549334i	$0.814882\pi$
$998$	−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.r.d.193.2	yes	12
5.2	odd	4		370.2.q.d.267.2	✓	12
37.14	odd	12		370.2.q.d.273.2	yes	12
185.162	even	12	inner	370.2.r.d.347.2	yes	12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.d.267.2	✓	12	5.2	odd	4
370.2.q.d.273.2	yes	12	37.14	odd	12
370.2.r.d.193.2	yes	12	1.1	even	1	trivial
370.2.r.d.347.2	yes	12	185.162	even	12	inner

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.r (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.290531 - 1.08428i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.13365 - 1.92739i) q^{5} +(0.793745 + 0.793745i) q^{6} +(0.304145 + 1.13508i) q^{7} +1.00000i q^{8} +(1.50683 - 0.869970i) q^{9} +O(q^{10})\)	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.290531 - 1.08428i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.13365 - 1.92739i) q^{5} +(0.793745 + 0.793745i) q^{6} +(0.304145 + 1.13508i) q^{7} +1.00000i q^{8} +(1.50683 - 0.869970i) q^{9} +(-0.0180717 + 2.23599i) q^{10} -1.21792i q^{11} +(-1.08428 - 0.290531i) q^{12} +(-2.21360 - 1.27802i) q^{13} +(-0.830939 - 0.830939i) q^{14} +(-2.41918 - 0.669220i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(2.99306 + 5.18413i) q^{17} +(-0.869970 + 1.50683i) q^{18} +(-1.48860 - 5.55553i) q^{19} +(-1.10235 - 1.94546i) q^{20} +(1.14238 - 0.659553i) q^{21} +(0.608962 + 1.05475i) q^{22} -2.78142i q^{23} +(1.08428 - 0.290531i) q^{24} +(-2.42968 - 4.36997i) q^{25} +2.55605 q^{26} +(-3.76230 - 3.76230i) q^{27} +(1.13508 + 0.304145i) q^{28} +(-3.89093 - 3.89093i) q^{29} +(2.42968 - 0.630030i) q^{30} +(1.69486 - 1.69486i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-1.32056 + 0.353844i) q^{33} +(-5.18413 - 2.99306i) q^{34} +(2.53254 + 0.700579i) q^{35} -1.73994i q^{36} +(5.65234 + 2.24745i) q^{37} +(4.06693 + 4.06693i) q^{38} +(-0.742610 + 2.77146i) q^{39} +(1.92739 + 1.13365i) q^{40} +(8.25720 + 4.76730i) q^{41} +(-0.659553 + 1.14238i) q^{42} -5.25996i q^{43} +(-1.05475 - 0.608962i) q^{44} +(0.0314436 - 3.89050i) 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} +(4.28915 + 2.56966i) q^{50} +(4.75145 - 4.75145i) q^{51} +(-2.21360 + 1.27802i) q^{52} +(-1.35798 + 5.06804i) q^{53} +(5.13940 + 1.37710i) q^{54} +(-2.34742 - 1.38070i) q^{55} +(-1.13508 + 0.304145i) q^{56} +(-5.59124 + 3.22811i) q^{57} +(5.31511 + 1.42418i) q^{58} +(-0.984278 - 0.263737i) q^{59} +(-1.78915 + 1.76046i) q^{60} +(-0.684514 - 2.55464i) q^{61} +(-0.620361 + 2.31522i) q^{62} +(1.44578 + 1.44578i) q^{63} -1.00000 q^{64} +(-4.97270 + 2.81765i) q^{65} +(0.966720 - 0.966720i) q^{66} +(-11.4016 + 3.05506i) q^{67} +5.98612 q^{68} +(-3.01583 + 0.808089i) q^{69} +(-2.54354 + 0.659553i) q^{70} +(-2.54689 + 4.41134i) q^{71} +(0.869970 + 1.50683i) 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} +(1.38244 - 0.370425i) q^{77} +(-0.742610 - 2.77146i) q^{78} +(3.10378 + 11.5835i) q^{79} +(-2.23599 - 0.0180717i) q^{80} +(-0.376397 + 0.651939i) q^{81} -9.53459 q^{82} +(-4.49556 + 16.7777i) q^{83} -1.31911i q^{84} +(13.3849 + 0.108179i) q^{85} +(2.62998 + 4.55526i) q^{86} +(-3.08840 + 5.34927i) q^{87} +1.21792 q^{88} +(-1.51708 + 5.66183i) q^{89} +(1.91802 + 3.38499i) q^{90} +(0.777408 - 2.90133i) q^{91} +(-2.40878 - 1.39071i) q^{92} +(-2.33010 - 1.34528i) q^{93} +(1.36218 - 5.08373i) q^{94} +(-12.3952 - 3.42890i) q^{95} +(0.290531 - 1.08428i) q^{96} +8.11468 q^{97} +(-2.80954 + 4.86627i) q^{98} +(-1.05956 - 1.83521i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9}+O(q^{10}) \) 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9	\( 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9} - 4 q^{10} - 6 q^{13} - 8 q^{14} - 14 q^{15} - 6 q^{16} + 12 q^{17} + 10 q^{18} + 8 q^{19} - 4 q^{20} + 54 q^{21} - 10 q^{22} - 10 q^{25} - 18 q^{27} + 4 q^{28} - 4 q^{29} + 10 q^{30} - 2 q^{31} - 28 q^{33} - 12 q^{34} + 14 q^{35} + 12 q^{37} + 16 q^{38} + 30 q^{39} - 2 q^{40} + 12 q^{41} - 22 q^{42} - 6 q^{44} + 24 q^{45} + 2 q^{46} - 28 q^{47} - 6 q^{48} - 24 q^{49} + 16 q^{50} - 8 q^{51} - 6 q^{52} + 14 q^{53} + 18 q^{54} - 32 q^{55} - 4 q^{56} - 72 q^{57} - 10 q^{58} + 14 q^{60} + 24 q^{61} - 16 q^{62} + 8 q^{63} - 12 q^{64} - 26 q^{65} + 8 q^{66} + 18 q^{67} + 24 q^{68} + 40 q^{69} + 6 q^{70} - 10 q^{72} + 28 q^{73} - 38 q^{74} - 30 q^{75} - 8 q^{76} + 26 q^{77} + 30 q^{78} + 56 q^{79} + 4 q^{80} + 4 q^{81} - 28 q^{82} + 14 q^{83} + 28 q^{85} - 22 q^{86} - 10 q^{87} - 20 q^{88} + 2 q^{89} + 42 q^{90} + 38 q^{91} - 18 q^{92} + 18 q^{93} + 16 q^{94} - 56 q^{95} - 6 q^{96} - 44 q^{97} + 22 q^{98} - 28 q^{99}+O(q^{100}) \) 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9 - 4 * q^10 - 6 * q^13 - 8 * q^14 - 14 * q^15 - 6 * q^16 + 12 * q^17 + 10 * q^18 + 8 * q^19 - 4 * q^20 + 54 * q^21 - 10 * q^22 - 10 * q^25 - 18 * q^27 + 4 * q^28 - 4 * q^29 + 10 * q^30 - 2 * q^31 - 28 * q^33 - 12 * q^34 + 14 * q^35 + 12 * q^37 + 16 * q^38 + 30 * q^39 - 2 * q^40 + 12 * q^41 - 22 * q^42 - 6 * q^44 + 24 * q^45 + 2 * q^46 - 28 * q^47 - 6 * q^48 - 24 * q^49 + 16 * q^50 - 8 * q^51 - 6 * q^52 + 14 * q^53 + 18 * q^54 - 32 * q^55 - 4 * q^56 - 72 * q^57 - 10 * q^58 + 14 * q^60 + 24 * q^61 - 16 * q^62 + 8 * q^63 - 12 * q^64 - 26 * q^65 + 8 * q^66 + 18 * q^67 + 24 * q^68 + 40 * q^69 + 6 * q^70 - 10 * q^72 + 28 * q^73 - 38 * q^74 - 30 * q^75 - 8 * q^76 + 26 * q^77 + 30 * q^78 + 56 * q^79 + 4 * q^80 + 4 * q^81 - 28 * q^82 + 14 * q^83 + 28 * q^85 - 22 * q^86 - 10 * q^87 - 20 * q^88 + 2 * q^89 + 42 * q^90 + 38 * q^91 - 18 * q^92 + 18 * q^93 + 16 * q^94 - 56 * q^95 - 6 * q^96 - 44 * q^97 + 22 * q^98 - 28 * q^99

Introduction

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