LMFDB - Embedded newform 252.2.bj.b.103.40

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(103,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([3, 2, 5]))

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

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

chi := DirichletCharacter("252.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bj (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.40
Character	$\chi$	$=$	252.103
Dual form			252.2.bj.b.115.39

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.36675 + 0.363308i) q^{2} +(0.389810 + 1.68762i) q^{3} +(1.73601 + 0.993103i) q^{4} +(1.43430 - 0.828095i) q^{5} +(-0.0803514 + 2.44817i) q^{6} +(0.375983 - 2.61890i) q^{7} +(2.01190 + 1.98803i) q^{8} +(-2.69610 + 1.31570i) q^{9} +O(q^{10})$	\(q+(1.36675 + 0.363308i) q^{2} +(0.389810 + 1.68762i) q^{3} +(1.73601 + 0.993103i) q^{4} +(1.43430 - 0.828095i) q^{5} +(-0.0803514 + 2.44817i) q^{6} +(0.375983 - 2.61890i) q^{7} +(2.01190 + 1.98803i) q^{8} +(-2.69610 + 1.31570i) q^{9} +(2.26119 - 0.610706i) q^{10} +(-2.34869 - 1.35602i) q^{11} +(-0.999260 + 3.31685i) q^{12} +(-4.25755 - 2.45810i) q^{13} +(1.46534 - 3.44279i) q^{14} +(1.95661 + 2.09775i) q^{15} +(2.02749 + 3.44808i) q^{16} +(-2.86290 + 1.65289i) q^{17} +(-4.16290 + 0.818719i) q^{18} +(-0.756379 + 1.31009i) q^{19} +(3.31235 - 0.0131756i) q^{20} +(4.56626 - 0.386359i) q^{21} +(-2.71742 - 2.70664i) q^{22} +(3.45097 - 1.99242i) q^{23} +(-2.57078 + 4.17026i) q^{24} +(-1.12852 + 1.95465i) q^{25} +(-4.92596 - 4.90641i) q^{26} +(-3.27136 - 4.03710i) q^{27} +(3.25355 - 4.17306i) q^{28} +(3.66717 + 6.35172i) q^{29} +(1.91207 + 3.57796i) q^{30} -6.31513 q^{31} +(1.51836 + 5.44927i) q^{32} +(1.37289 - 4.49228i) q^{33} +(-4.51337 + 1.21898i) q^{34} +(-1.62942 - 4.06764i) q^{35} +(-5.98709 - 0.393428i) q^{36} +(4.46089 - 7.72649i) q^{37} +(-1.50975 + 1.51576i) q^{38} +(2.48869 - 8.14330i) q^{39} +(4.53195 + 1.18540i) q^{40} +(0.879545 + 0.507805i) q^{41} +(6.38131 + 1.13090i) q^{42} +(5.68989 - 3.28506i) q^{43} +(-2.73070 - 4.68656i) q^{44} +(-2.77749 + 4.11973i) q^{45} +(5.44047 - 1.46937i) q^{46} +1.95291 q^{47} +(-5.02870 + 4.76573i) q^{48} +(-6.71727 - 1.96932i) q^{49} +(-2.25254 + 2.26152i) q^{50} +(-3.90543 - 4.18716i) q^{51} +(-4.95003 - 8.49548i) q^{52} +(5.20840 + 9.02122i) q^{53} +(-3.00442 - 6.70623i) q^{54} -4.49164 q^{55} +(5.96289 - 4.52149i) q^{56} +(-2.50577 - 0.765793i) q^{57} +(2.70447 + 10.0135i) q^{58} +6.50576 q^{59} +(1.31342 + 5.58484i) q^{60} -11.3099i q^{61} +(-8.63121 - 2.29434i) q^{62} +(2.43200 + 7.55549i) q^{63} +(0.0954627 + 7.99943i) q^{64} -8.14215 q^{65} +(3.50848 - 5.64104i) q^{66} -4.23288i q^{67} +(-6.61152 + 0.0262988i) q^{68} +(4.70766 + 5.04725i) q^{69} +(-0.749211 - 6.15144i) q^{70} -2.11040i q^{71} +(-8.03992 - 2.71287i) q^{72} +(-4.56368 + 2.63484i) q^{73} +(8.90403 - 8.93951i) q^{74} +(-3.73861 - 1.14256i) q^{75} +(-2.61414 + 1.52317i) q^{76} +(-4.43434 + 5.64115i) q^{77} +(6.35994 - 10.2257i) q^{78} +15.2086i q^{79} +(5.76338 + 3.26663i) q^{80} +(5.53787 - 7.09450i) q^{81} +(1.01763 + 1.01359i) q^{82} +(7.30362 + 12.6502i) q^{83} +(8.31079 + 3.86404i) q^{84} +(-2.73751 + 4.74150i) q^{85} +(8.97016 - 2.42268i) q^{86} +(-9.28977 + 8.66473i) q^{87} +(-2.02952 - 7.39744i) q^{88} +(4.61689 + 2.66556i) q^{89} +(-5.29287 + 4.62156i) q^{90} +(-8.03827 + 10.2259i) q^{91} +(7.96961 - 0.0317009i) q^{92} +(-2.46170 - 10.6575i) q^{93} +(2.66914 + 0.709507i) q^{94} +2.50541i q^{95} +(-8.60441 + 4.68660i) q^{96} +(-4.20504 + 2.42778i) q^{97} +(-8.46537 - 5.13201i) q^{98} +(8.11641 + 0.565784i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	1.36675	+	0.363308i	0.966439	+	0.256897i
$2$	1.36675	+	0.363308i	0.966439	+	0.256897i
$3$	0.389810	+	1.68762i	0.225057	+	0.974346i
$3$	0.389810	+	1.68762i	0.225057	+	0.974346i
$4$	1.73601	+	0.993103i	0.868007	+	0.496551i
$5$	1.43430	−	0.828095i	0.641439	−	0.370335i	−0.143729	−	0.989617i	$-0.545909\pi$
$5$	1.43430	−	0.828095i	0.641439	−	0.370335i	0.785169	+	0.619282i	$0.212576\pi$
$6$	−0.0803514	+	2.44817i	−0.0328033	+	0.999462i
$7$	0.375983	−	2.61890i	0.142108	−	0.989851i
$7$	0.375983	−	2.61890i	0.142108	−	0.989851i
$8$	2.01190	+	1.98803i	0.711313	+	0.702875i
$9$	−2.69610	+	1.31570i	−0.898699	+	0.438566i
$10$	2.26119	−	0.610706i	0.715050	−	0.193122i
$11$	−2.34869	−	1.35602i	−0.708157	−	0.408855i	0.102221	−	0.994762i	$-0.467405\pi$
$11$	−2.34869	−	1.35602i	−0.708157	−	0.408855i	−0.810378	+	0.585907i	$0.800738\pi$
$12$	−0.999260	+	3.31685i	−0.288462	+	0.957491i
$13$	−4.25755	−	2.45810i	−1.18083	−	0.681753i	−0.224625	−	0.974445i	$-0.572116\pi$
$13$	−4.25755	−	2.45810i	−1.18083	−	0.681753i	−0.956207	+	0.292692i	$0.905449\pi$
$14$	1.46534	−	3.44279i	0.391629	−	0.920123i
$15$	1.95661	+	2.09775i	0.505195	+	0.541637i
$16$	2.02749	+	3.44808i	0.506874	+	0.862020i
$17$	−2.86290	+	1.65289i	−0.694354	+	0.400886i	−0.805241	−	0.592947i	$-0.797964\pi$
$17$	−2.86290	+	1.65289i	−0.694354	+	0.400886i	0.110887	+	0.993833i	$0.464631\pi$
$18$	−4.16290	+	0.818719i	−0.981204	+	0.192974i
$19$	−0.756379	+	1.31009i	−0.173525	+	0.300555i	−0.939650	−	0.342137i	$-0.888849\pi$
$19$	−0.756379	+	1.31009i	−0.173525	+	0.300555i	0.766125	+	0.642692i	$0.222182\pi$
$20$	3.31235	−	0.0131756i	0.740665	−	0.00294616i
$21$	4.56626	−	0.386359i	0.996440	−	0.0843103i
$22$	−2.71742	−	2.70664i	−0.579356	−	0.577057i
$23$	3.45097	−	1.99242i	0.719577	−	0.415448i	−0.0950202	−	0.995475i	$-0.530292\pi$
$23$	3.45097	−	1.99242i	0.719577	−	0.415448i	0.814597	+	0.580028i	$0.196958\pi$
$24$	−2.57078	+	4.17026i	−0.524758	+	0.851252i
$25$	−1.12852	+	1.95465i	−0.225704	+	0.390930i
$26$	−4.92596	−	4.90641i	−0.966061	−	0.962226i
$27$	−3.27136	−	4.03710i	−0.629573	−	0.776941i
$28$	3.25355	−	4.17306i	0.614863	−	0.788634i
$29$	3.66717	+	6.35172i	0.680976	+	1.17948i	0.974683	+	0.223589i	$0.0717774\pi$
$29$	3.66717	+	6.35172i	0.680976	+	1.17948i	−0.293708	+	0.955895i	$0.594889\pi$
$30$	1.91207	+	3.57796i	0.349095	+	0.653242i
$31$	−6.31513			−1.13423			−0.567116	−	0.823638i	$-0.691941\pi$
$31$	−6.31513			−1.13423			−0.567116	+	0.823638i	$0.691941\pi$
$32$	1.51836	+	5.44927i	0.268412	+	0.963304i
$33$	1.37289	−	4.49228i	0.238990	−	0.782005i
$34$	−4.51337	+	1.21898i	−0.774037	+	0.209054i
$35$	−1.62942	−	4.06764i	−0.275423	−	0.687557i
$36$	−5.98709	−	0.393428i	−0.997848	−	0.0655714i
$37$	4.46089	−	7.72649i	0.733366	−	1.27023i	−0.222070	−	0.975031i	$-0.571281\pi$
$37$	4.46089	−	7.72649i	0.733366	−	1.27023i	0.955436	−	0.295197i	$-0.0953853\pi$
$38$	−1.50975	+	1.51576i	−0.244913	+	0.245889i
$39$	2.48869	−	8.14330i	0.398509	−	1.30397i
$40$	4.53195	+	1.18540i	0.716564	+	0.187428i
$41$	0.879545	+	0.507805i	0.137362	+	0.0793059i	0.567106	−	0.823645i	$-0.308063\pi$
$41$	0.879545	+	0.507805i	0.137362	+	0.0793059i	−0.429744	+	0.902951i	$0.641396\pi$
$42$	6.38131	+	1.13090i	0.984657	+	0.174502i
$43$	5.68989	−	3.28506i	0.867701	−	0.500967i	0.00111731	−	0.999999i	$-0.499644\pi$
$43$	5.68989	−	3.28506i	0.867701	−	0.500967i	0.866584	+	0.499032i	$0.166311\pi$
$44$	−2.73070	−	4.68656i	−0.411668	−	0.706525i
$45$	−2.77749	+	4.11973i	−0.414044	+	0.614134i
$46$	5.44047	−	1.46937i	0.802154	−	0.216647i
$47$	1.95291			0.284861			0.142430	−	0.989805i	$-0.454508\pi$
$47$	1.95291			0.284861			0.142430	+	0.989805i	$0.454508\pi$
$48$	−5.02870	+	4.76573i	−0.725830	+	0.687874i
$49$	−6.71727	−	1.96932i	−0.959611	−	0.281332i
$50$	−2.25254	+	2.26152i	−0.318558	+	0.319827i
$51$	−3.90543	−	4.18716i	−0.546870	−	0.586319i
$52$	−4.95003	−	8.49548i	−0.686445	−	1.17811i
$53$	5.20840	+	9.02122i	0.715429	+	1.23916i	0.962794	+	0.270237i	$0.0871020\pi$
$53$	5.20840	+	9.02122i	0.715429	+	1.23916i	−0.247365	+	0.968922i	$0.579565\pi$
$54$	−3.00442	−	6.70623i	−0.408850	−	0.912602i
$55$	−4.49164			−0.605653
$56$	5.96289	−	4.52149i	0.796825	−	0.604210i
$57$	−2.50577	−	0.765793i	−0.331897	−	0.101432i
$58$	2.70447	+	10.0135i	0.355115	+	1.31484i
$59$	6.50576			0.846978			0.423489	−	0.905901i	$-0.360805\pi$
$59$	6.50576			0.846978			0.423489	+	0.905901i	$0.360805\pi$
$60$	1.31342	+	5.58484i	0.169562	+	0.721000i
$61$		−	11.3099i		−	1.44809i	−0.689755	−	0.724043i	$-0.742282\pi$
$61$		−	11.3099i		−	1.44809i	0.689755	−	0.724043i	$-0.257718\pi$
$62$	−8.63121	−	2.29434i	−1.09617	−	0.291381i
$63$	2.43200	+	7.55549i	0.306403	+	0.951902i
$64$	0.0954627	+	7.99943i	0.0119328	+	0.999929i
$65$	−8.14215			−1.00991
$66$	3.50848	−	5.64104i	0.431864	−	0.694364i
$67$		−	4.23288i		−	0.517128i	−0.965994	−	0.258564i	$-0.916751\pi$
$67$		−	4.23288i		−	0.517128i	0.965994	−	0.258564i	$-0.0832493\pi$
$68$	−6.61152	+	0.0262988i	−0.801765	+	0.00318920i
$69$	4.70766	+	5.04725i	0.566735	+	0.607617i
$70$	−0.749211	−	6.15144i	−0.0895478	−	0.735237i
$71$		−	2.11040i		−	0.250459i	−0.992128	−	0.125229i	$-0.960033\pi$
$71$		−	2.11040i		−	0.250459i	0.992128	−	0.125229i	$-0.0399666\pi$
$72$	−8.03992	−	2.71287i	−0.947514	−	0.319715i
$73$	−4.56368	+	2.63484i	−0.534139	+	0.308385i	−0.742700	−	0.669624i	$-0.766455\pi$
$73$	−4.56368	+	2.63484i	−0.534139	+	0.308385i	0.208561	+	0.978009i	$0.433122\pi$
$74$	8.90403	−	8.93951i	1.03507	−	1.03920i
$75$	−3.73861	−	1.14256i	−0.431697	−	0.131932i
$76$	−2.61414	+	1.52317i	−0.299862	+	0.174719i
$77$	−4.43434	+	5.64115i	−0.505340	+	0.642868i
$78$	6.35994	−	10.2257i	0.720122	−	1.15783i
$79$			15.2086i			1.71110i	0.517717	+	0.855552i	$0.326782\pi$
$79$			15.2086i			1.71110i	−0.517717	+	0.855552i	$0.673218\pi$
$80$	5.76338	+	3.26663i	0.644365	+	0.365221i
$81$	5.53787	−	7.09450i	0.615319	−	0.788278i
$82$	1.01763	+	1.01359i	0.112378	+	0.111932i
$83$	7.30362	+	12.6502i	0.801676	+	1.38854i	0.918512	+	0.395393i	$0.129391\pi$
$83$	7.30362	+	12.6502i	0.801676	+	1.38854i	−0.116836	+	0.993151i	$0.537275\pi$
$84$	8.31079	+	3.86404i	0.906781	+	0.421601i
$85$	−2.73751	+	4.74150i	−0.296924	+	0.514288i
$86$	8.97016	−	2.42268i	0.967277	−	0.261244i
$87$	−9.28977	+	8.66473i	−0.995967	+	0.928957i
$88$	−2.02952	−	7.39744i	−0.216348	−	0.788570i
$89$	4.61689	+	2.66556i	0.489389	+	0.282549i	0.724321	−	0.689463i	$-0.242153\pi$
$89$	4.61689	+	2.66556i	0.489389	+	0.282549i	−0.234932	+	0.972012i	$0.575487\pi$
$90$	−5.29287	+	4.62156i	−0.557918	+	0.487155i
$91$	−8.03827	+	10.2259i	−0.842640	+	1.07196i
$92$	7.96961	−	0.0317009i	0.830889	−	0.00330505i
$93$	−2.46170	−	10.6575i	−0.255266	−	1.10513i
$94$	2.66914	+	0.709507i	0.275301	+	0.0731800i
$95$			2.50541i			0.257050i
$96$	−8.60441	+	4.68660i	−0.878184	+	0.478324i
$97$	−4.20504	+	2.42778i	−0.426957	+	0.246504i	−0.698049	−	0.716050i	$-0.745948\pi$
$97$	−4.20504	+	2.42778i	−0.426957	+	0.246504i	0.271092	+	0.962553i	$0.412615\pi$
$98$	−8.46537	−	5.13201i	−0.855131	−	0.518411i
$99$	8.11641	+	0.565784i	0.815730	+	0.0568635i
$100$	−3.90029	+	2.27257i	−0.390029	+	0.227257i
$101$	2.44236	+	1.41010i	0.243024	+	0.140310i	0.616566	−	0.787303i	$-0.288523\pi$
$101$	2.44236	+	1.41010i	0.243024	+	0.140310i	−0.373542	+	0.927613i	$0.621857\pi$
$102$	−3.81653	−	7.14167i	−0.377893	−	0.707131i
$103$	−0.797304	−	1.38097i	−0.0785607	−	0.136071i	0.824068	−	0.566490i	$-0.191699\pi$
$103$	−0.797304	−	1.38097i	−0.0785607	−	0.136071i	−0.902629	+	0.430419i	$0.858366\pi$
$104$	−3.67898	−	13.4096i	−0.360753	−	1.31492i
$105$	6.22945	−	4.33545i	0.607933	−	0.423097i
$106$	3.84111	+	14.2220i	0.373081	+	1.38136i
$107$	−4.75730	−	2.74663i	−0.459906	−	0.265527i	0.252099	−	0.967701i	$-0.418879\pi$
$107$	−4.75730	−	2.74663i	−0.459906	−	0.265527i	−0.712005	+	0.702175i	$0.752213\pi$
$108$	−1.66987	−	10.2573i	−0.160683	−	0.987006i
$109$	−6.81189	−	11.7985i	−0.652461	−	1.13010i	−0.982524	−	0.186136i	$-0.940403\pi$
$109$	−6.81189	−	11.7985i	−0.652461	−	1.13010i	0.330063	−	0.943959i	$-0.392930\pi$
$110$	−6.13896	−	1.63185i	−0.585326	−	0.155591i
$111$	14.7783	+	4.51641i	1.40269	+	0.428679i
$112$	9.79248	−	4.01339i	0.925303	−	0.379229i
$113$	−0.261159	+	0.452340i	−0.0245677	+	0.0425526i	−0.878048	−	0.478573i	$-0.841154\pi$
$113$	−0.261159	+	0.452340i	−0.0245677	+	0.0425526i	0.853480	+	0.521125i	$0.174488\pi$
$114$	−3.14654	−	1.95701i	−0.294701	−	0.183291i
$115$	3.29982	−	5.71546i	0.307710	−	0.532969i
$116$	0.0583475	+	14.6686i	0.00541743	+	1.36194i
$117$	14.7129	+	1.02562i	1.36021	+	0.0948182i
$118$	8.89175	+	2.36359i	0.818552	+	0.217586i
$119$	3.25236	+	8.11910i	0.298144	+	0.744276i
$120$	−0.233896	+	8.11027i	−0.0213517	+	0.740363i
$121$	−1.82244	−	3.15655i	−0.165676	−	0.286959i
$122$	4.10898	−	15.4578i	0.372010	−	1.39949i
$123$	−0.514125	+	1.68228i	−0.0463571	+	0.151686i
$124$	−10.9632	−	6.27158i	−0.984521	−	0.563204i
$125$			12.0190i			1.07501i
$126$	0.578966	+	11.2100i	0.0515784	+	0.998669i
$127$			8.34549i			0.740543i	0.928924	+	0.370271i	$0.120735\pi$
$127$			8.34549i			0.740543i	−0.928924	+	0.370271i	$0.879265\pi$
$128$	−2.77578	+	10.9679i	−0.245347	+	0.969435i
$129$	7.76190	+	8.32181i	0.683397	+	0.732694i
$130$	−11.1283	−	2.95811i	−0.976015	−	0.259443i
$131$	−8.56896	−	14.8419i	−0.748673	−	1.29674i	−0.948459	−	0.316900i	$-0.897358\pi$
$131$	−8.56896	−	14.8419i	−0.748673	−	1.29674i	0.199786	−	0.979840i	$-0.435975\pi$
$132$	6.84466	−	6.43523i	0.595751	−	0.560115i
$133$	3.14660	+	2.47345i	0.272845	+	0.214475i
$134$	1.53784	−	5.78529i	0.132849	−	0.499773i
$135$	−8.03522	−	3.08143i	−0.691562	−	0.265207i
$136$	−9.04586	−	2.36607i	−0.775676	−	0.202889i
$137$	0.0749253	−	0.129774i	0.00640130	−	0.0110874i	−0.862807	−	0.505533i	$-0.831296\pi$
$137$	0.0749253	−	0.129774i	0.00640130	−	0.0110874i	0.869208	+	0.494446i	$0.164629\pi$
$138$	4.60049	+	8.60866i	0.391620	+	0.732818i
$139$	6.06467	−	10.5043i	0.514399	−	0.890965i	−0.485462	−	0.874258i	$-0.661349\pi$
$139$	6.06467	−	10.5043i	0.514399	−	0.890965i	0.999860	−	0.0167067i	$-0.00531816\pi$
$140$	1.21088	−	8.67967i	0.102338	−	0.733566i
$141$	0.761263	+	3.29576i	0.0641099	+	0.277553i
$142$	0.766725	−	2.88439i	0.0643422	−	0.242053i
$143$	6.66644	+	11.5466i	0.557476	+	0.965577i
$144$	−10.0030	−	6.62879i	−0.833580	−	0.552399i
$145$	10.5197	+	6.07352i	0.873609	+	0.504379i
$146$	−7.19468	+	1.94315i	−0.595436	+	0.160816i
$147$	0.705000	−	12.1038i	0.0581474	−	0.998308i
$148$	15.4174	−	8.98318i	1.26730	−	0.738413i
$149$	−8.27619	−	14.3348i	−0.678012	−	1.17435i	−0.975579	−	0.219650i	$-0.929508\pi$
$149$	−8.27619	−	14.3348i	−0.678012	−	1.17435i	0.297567	−	0.954701i	$-0.403825\pi$
$150$	−4.69464	−	2.91986i	−0.383316	−	0.238406i
$151$	14.7206	+	8.49894i	1.19794	+	0.691634i	0.960097	−	0.279669i	$-0.0902246\pi$
$151$	14.7206	+	8.49894i	1.19794	+	0.691634i	0.237848	+	0.971302i	$0.423558\pi$
$152$	−4.12625	+	1.13206i	−0.334683	+	0.0918218i
$153$	5.54393	−	8.22307i	0.448200	−	0.664796i
$154$	−8.11011	+	6.09901i	−0.653531	+	0.491472i
$155$	−9.05781	+	5.22953i	−0.727541	+	0.420046i
$156$	12.4075	−	11.6654i	0.993398	−	0.933977i
$157$			15.1129i			1.20614i	0.797687	+	0.603071i	$0.206057\pi$
$157$			15.1129i			1.20614i	−0.797687	+	0.603071i	$0.793943\pi$
$158$	−5.52541	+	20.7864i	−0.439578	+	1.65368i
$159$	−13.1941	+	12.3063i	−1.04636	+	0.975956i
$160$	6.69031	+	6.55855i	0.528915	+	0.518499i
$161$	−3.92044	−	9.78686i	−0.308974	−	0.771312i
$162$	10.1464	−	7.68446i	0.797175	−	0.603748i
$163$	5.13064	+	2.96218i	0.401863	+	0.232015i	0.687287	−	0.726386i	$-0.258801\pi$
$163$	5.13064	+	2.96218i	0.401863	+	0.232015i	−0.285425	+	0.958401i	$0.592135\pi$
$164$	1.02260	+	1.75504i	0.0798516	+	0.137045i
$165$	−1.75089	−	7.58017i	−0.136306	−	0.590115i
$166$	5.38629	+	19.9432i	0.418057	+	1.54789i
$167$	−8.25628	+	14.3003i	−0.638890	+	1.10659i	0.346787	+	0.937944i	$0.387273\pi$
$167$	−8.25628	+	14.3003i	−0.638890	+	1.10659i	−0.985677	+	0.168646i	$0.946061\pi$
$168$	9.95494	+	8.30055i	0.768040	+	0.640402i
$169$	5.58448	+	9.67261i	0.429576	+	0.744047i
$170$	−5.46411	+	5.48589i	−0.419078	+	0.420748i
$171$	0.315592	−	4.52729i	0.0241339	−	0.346210i
$172$	13.1401	−	0.0522679i	1.00193	−	0.00398539i
$173$		−	16.2245i		−	1.23353i	−0.787148	−	0.616764i	$-0.788443\pi$
$173$		−	16.2245i		−	1.23353i	0.787148	−	0.616764i	$-0.211557\pi$
$174$	−15.8448	+	8.46748i	−1.20119	+	0.641918i
$175$	4.69473	+	3.69039i	0.354888	+	0.278967i
$176$	−0.0863005	−	10.8478i	−0.00650514	−	0.817683i
$177$	2.53601	+	10.9792i	0.190618	+	0.825249i
$178$	5.34172	+	5.32051i	0.400379	+	0.398789i
$179$	−15.1520	+	8.74799i	−1.13251	+	0.653855i	−0.944565	−	0.328324i	$-0.893516\pi$
$179$	−15.1520	+	8.74799i	−1.13251	+	0.653855i	−0.187945	+	0.982180i	$0.560183\pi$
$180$	−8.91309	+	4.39358i	−0.664342	+	0.327478i
$181$			9.17571i			0.682025i	0.940059	+	0.341013i	$0.110770\pi$
$181$			9.17571i			0.682025i	−0.940059	+	0.341013i	$0.889230\pi$
$182$	−14.7015	+	11.0559i	−1.08975	+	0.819516i
$183$	19.0868	−	4.40871i	1.41094	−	0.325902i
$184$	10.9040	+	2.85209i	0.803852	+	0.210259i
$185$		−	14.7762i		−	1.08637i
$186$	0.507430	−	15.4605i	0.0372066	−	1.13362i
$187$	8.96541			0.655616
$188$	3.39028	+	1.93944i	0.247261	+	0.141448i
$189$	−11.8027	+	7.04948i	−0.858523	+	0.512774i
$190$	−0.910237	+	3.42428i	−0.0660355	+	0.248423i
$191$			0.746176i			0.0539914i	0.999636	+	0.0269957i	$0.00859404\pi$
$191$			0.746176i			0.0539914i	−0.999636	+	0.0269957i	$0.991406\pi$
$192$	−13.4628	+	3.27936i	−0.971591	+	0.236667i
$193$	5.27175			0.379469			0.189734	−	0.981835i	$-0.439237\pi$
$193$	5.27175			0.379469			0.189734	+	0.981835i	$0.439237\pi$
$194$	−6.62927	+	1.79045i	−0.475954	+	0.128547i
$195$	−3.17389	−	13.7408i	−0.227287	−	0.984001i
$196$	−9.70555	−	10.0897i	−0.693254	−	0.720694i
$197$	−12.9993			−0.926162			−0.463081	−	0.886316i	$-0.653256\pi$
$197$	−12.9993			−0.926162			−0.463081	+	0.886316i	$0.653256\pi$
$198$	10.8876	+	3.72204i	0.773745	+	0.264514i
$199$	−4.92545	−	8.53113i	−0.349156	−	0.604756i	0.636944	−	0.770910i	$-0.280198\pi$
$199$	−4.92545	−	8.53113i	−0.349156	−	0.604756i	−0.986100	+	0.166154i	$0.946865\pi$
$200$	−6.15637	+	1.68903i	−0.435321	+	0.119432i
$201$	7.14347	−	1.65002i	0.503862	−	0.116383i
$202$	2.82580	+	2.81458i	0.198822	+	0.198033i
$203$	18.0133	−	7.21581i	1.26429	−	0.506450i
$204$	−2.62162	−	11.1475i	−0.183550	−	0.780478i
$205$	1.68204			0.117479
$206$	−0.587998	−	2.17711i	−0.0409678	−	0.151686i
$207$	−6.68272	+	9.91219i	−0.464481	+	0.688945i
$208$	−0.156440	−	19.6642i	−0.0108471	−	1.36346i
$209$	3.55300	−	2.05133i	0.245766	−	0.141893i
$210$	10.0892	−	3.66227i	0.696222	−	0.252721i
$211$	−20.4282	−	11.7942i	−1.40633	−	0.811946i	−0.411300	−	0.911500i	$-0.634925\pi$
$211$	−20.4282	−	11.7942i	−1.40633	−	0.811946i	−0.995032	+	0.0995535i	$0.968259\pi$
$212$	0.0828697	+	20.8334i	0.00569152	+	1.43085i
$213$	3.56155	−	0.822655i	0.244033	−	0.0563674i
$214$	−5.50417	−	5.48232i	−0.376258	−	0.374764i
$215$	5.44069	−	9.42354i	0.371052	−	0.642680i
$216$	1.44425	−	14.6258i	0.0982688	−	0.995160i
$217$	−2.37438	+	16.5387i	−0.161183	+	1.12272i
$218$	−5.02365	−	18.6005i	−0.340245	−	1.25978i
$219$	−6.22557	−	6.67466i	−0.420685	−	0.451032i
$220$	−7.79756	−	4.46066i	−0.525711	−	0.300738i
$221$	16.2519			1.09322
$222$	18.5573	+	11.5419i	1.24549	+	0.774639i
$223$	−2.37545	−	4.11440i	−0.159072	−	0.275520i	0.775462	−	0.631394i	$-0.217517\pi$
$223$	−2.37545	−	4.11440i	−0.159072	−	0.275520i	−0.934534	+	0.355873i	$0.884183\pi$
$224$	14.8420	−	1.92761i	0.991671	−	0.128794i
$225$	0.470863	−	6.75472i	0.0313908	−	0.450314i
$226$	−0.521277	+	0.523355i	−0.0346749	+	0.0348131i
$227$	13.8419	−	23.9749i	0.918720	−	1.59127i	0.117359	−	0.993090i	$-0.462557\pi$
$227$	13.8419	−	23.9749i	0.918720	−	1.59127i	0.801361	−	0.598180i	$-0.204109\pi$
$228$	−3.58954	−	3.81791i	−0.237723	−	0.252847i
$229$	8.76512	−	5.06054i	0.579215	−	0.334410i	−0.181606	−	0.983371i	$-0.558130\pi$
$229$	8.76512	−	5.06054i	0.579215	−	0.334410i	0.760822	+	0.648961i	$0.224796\pi$
$230$	6.58650	−	6.61276i	0.434301	−	0.436032i
$231$	−11.2486	−	5.28449i	−0.740106	−	0.347694i
$232$	−5.24945	+	20.0694i	−0.344643	+	1.31762i
$233$	6.75115	−	11.6933i	0.442283	−	0.766056i	−0.555576	−	0.831466i	$-0.687502\pi$
$233$	6.75115	−	11.6933i	0.442283	−	0.766056i	0.997858	+	0.0654097i	$0.0208354\pi$
$234$	19.7362	+	6.74707i	1.29020	+	0.441069i
$235$	2.80106	−	1.61719i	0.182721	−	0.105494i
$236$	11.2941	+	6.46088i	0.735183	+	0.420568i
$237$	−25.6663	+	5.92847i	−1.66721	+	0.385096i
$238$	1.49544	+	12.2784i	0.0969349	+	0.795890i
$239$	−21.6423	−	12.4952i	−1.39992	−	0.808246i	−0.405540	−	0.914077i	$-0.632916\pi$
$239$	−21.6423	−	12.4952i	−1.39992	−	0.808246i	−0.994384	+	0.105831i	$0.966250\pi$
$240$	−3.26620	+	10.9997i	−0.210832	+	0.710030i
$241$	−9.04255	−	5.22072i	−0.582482	−	0.336296i	0.179637	−	0.983733i	$-0.442508\pi$
$241$	−9.04255	−	5.22072i	−0.582482	−	0.336296i	−0.762119	+	0.647437i	$0.775841\pi$
$242$	−1.34401	−	4.97632i	−0.0863966	−	0.319890i
$243$	14.1315	+	6.58030i	0.906537	+	0.422126i
$244$	11.2319	−	19.6342i	0.719049	−	1.25695i
$245$	−11.2654	+	2.73794i	−0.719719	+	0.174920i
$246$	−1.31387	+	2.11247i	−0.0837691	+	0.134686i
$247$	6.44064	−	3.71851i	0.409808	−	0.236603i
$248$	−12.7054	−	12.5547i	−0.806794	−	0.797223i
$249$	−18.5017	+	17.2569i	−1.17250	+	1.09361i
$250$	−4.36661	+	16.4270i	−0.276168	+	1.03894i
$251$	−4.59012			−0.289726			−0.144863	−	0.989452i	$-0.546274\pi$
$251$	−4.59012			−0.289726			−0.144863	+	0.989452i	$0.546274\pi$
$252$	−3.28139	+	15.5317i	−0.206708	+	0.978403i
$253$	−10.8070			−0.679431
$254$	−3.03198	+	11.4062i	−0.190244	+	0.715689i
$255$	−9.06894	−	2.77158i	−0.567919	−	0.173563i
$256$	−7.77853	+	13.9819i	−0.486158	+	0.873871i
$257$	−22.6947	+	13.1028i	−1.41566	+	0.817331i	−0.995914	−	0.0903116i	$-0.971214\pi$
$257$	−22.6947	+	13.1028i	−1.41566	+	0.817331i	−0.419745	+	0.907642i	$0.637880\pi$
$258$	7.58520	+	14.1938i	0.472234	+	0.883667i
$259$	−18.5577	−	14.5877i	−1.15312	−	0.906433i
$260$	−14.1349	−	8.08599i	−0.876609	−	0.501472i
$261$	−18.2440	−	12.3000i	−1.12927	−	0.761349i
$262$	−6.31946	−	23.3983i	−0.390418	−	1.44555i
$263$	−5.13861	−	2.96678i	−0.316860	−	0.182939i	0.333132	−	0.942880i	$-0.391895\pi$
$263$	−5.13861	−	2.96678i	−0.316860	−	0.182939i	−0.649992	+	0.759941i	$0.725228\pi$
$264$	11.6929	−	6.30864i	0.719649	−	0.388270i
$265$	14.9408	+	8.62610i	0.917809	+	0.529897i
$266$	3.40200	+	4.52378i	0.208590	+	0.277371i
$267$	−2.69874	+	8.83060i	−0.165160	+	0.540424i
$268$	4.20368	−	7.34834i	0.256781	−	0.448871i
$269$	−1.49698	+	0.864283i	−0.0912726	+	0.0526963i	−0.544942	−	0.838474i	$-0.683448\pi$
$269$	−1.49698	+	0.864283i	−0.0912726	+	0.0526963i	0.453669	+	0.891170i	$0.350115\pi$
$270$	−9.86264	−	7.13081i	−0.600221	−	0.433967i
$271$	3.37150	−	5.83961i	0.204804	−	0.354731i	−0.745266	−	0.666767i	$-0.767678\pi$
$271$	3.37150	−	5.83961i	0.204804	−	0.354731i	0.950070	+	0.312036i	$0.101011\pi$
$272$	−11.5038	−	6.52026i	−0.697521	−	0.395349i
$273$	−20.3908	−	9.57937i	−1.23411	−	0.579770i
$274$	0.149552	−	0.150148i	0.00903478	−	0.00907079i
$275$	5.30108	−	3.06058i	0.319667	−	0.184560i
$276$	3.16013	+	13.4373i	0.190217	+	0.808829i
$277$	3.53023	−	6.11454i	0.212111	−	0.367387i	−0.740264	−	0.672316i	$-0.765300\pi$
$277$	3.53023	−	6.11454i	0.212111	−	0.367387i	0.952375	+	0.304929i	$0.0986328\pi$
$278$	12.1052	−	12.1534i	0.726021	−	0.728915i
$279$	17.0262	−	8.30881i	1.01933	−	0.497436i
$280$	4.80837	−	11.4230i	0.287355	−	0.682657i
$281$	0.814975	+	1.41158i	0.0486174	+	0.0842077i	0.889310	−	0.457305i	$-0.151185\pi$
$281$	0.814975	+	1.41158i	0.0486174	+	0.0842077i	−0.840693	+	0.541513i	$0.817852\pi$
$282$	−0.156919	+	4.78105i	−0.00934439	+	0.284708i
$283$	25.1027			1.49220			0.746101	−	0.665833i	$-0.231924\pi$
$283$	25.1027			1.49220			0.746101	+	0.665833i	$0.231924\pi$
$284$	2.09584	−	3.66369i	0.124366	−	0.217400i
$285$	−4.22818	+	0.976635i	−0.250456	+	0.0578509i
$286$	4.91639	+	18.2033i	0.290712	+	1.07638i
$287$	1.66058	−	2.11251i	0.0980212	−	0.124698i
$288$	−11.2633	−	12.6941i	−0.663694	−	0.748004i
$289$	−3.03589	+	5.25831i	−0.178581	+	0.309312i
$290$	12.1712	+	12.1229i	0.714716	+	0.711879i
$291$	−5.73633	−	6.15012i	−0.336269	−	0.360526i
$292$	−10.5393	+	0.0419224i	−0.616765	+	0.00245332i
$293$	17.8533	+	10.3076i	1.04300	+	0.602175i	0.920681	−	0.390316i	$-0.127634\pi$
$293$	17.8533	+	10.3076i	1.04300	+	0.602175i	0.122317	+	0.992491i	$0.460967\pi$
$294$	5.36098	−	16.2868i	0.312659	−	0.949866i
$295$	9.33122	−	5.38738i	0.543285	−	0.313666i
$296$	24.3354	−	6.67652i	1.41446	−	0.388065i
$297$	2.20903	+	13.9179i	0.128181	+	0.807600i
$298$	−6.10355	−	22.5989i	−0.353569	−	1.30912i
$299$	−19.5902			−1.13293
$300$	−5.35560	−	5.69633i	−0.309205	−	0.328878i
$301$	−6.46395	−	16.1364i	−0.372576	−	0.930086i
$302$	17.0316	+	16.9640i	0.980061	+	0.976171i
$303$	−1.42765	+	4.67144i	−0.0820162	+	0.268367i
$304$	−6.05084	+	0.0481380i	−0.347040	+	0.00276090i
$305$	−9.36568	−	16.2218i	−0.536277	−	0.928860i
$306$	10.5647	−	9.22473i	0.603943	−	0.527343i
$307$	−28.7340			−1.63993			−0.819967	−	0.572410i	$-0.806008\pi$
$307$	−28.7340			−1.63993			−0.819967	+	0.572410i	$0.806008\pi$
$308$	−13.3003	+	5.38936i	−0.757856	+	0.307087i
$309$	2.01975	−	1.88386i	0.114900	−	0.107169i
$310$	−14.2797	+	3.85669i	−0.811032	+	0.219045i
$311$	10.2429			0.580824			0.290412	−	0.956902i	$-0.406208\pi$
$311$	10.2429			0.580824			0.290412	+	0.956902i	$0.406208\pi$
$312$	21.1961	−	11.4359i	1.19999	−	0.647430i
$313$		−	0.107424i		−	0.00607194i	−0.999995	−	0.00303597i	$-0.999034\pi$
$313$		−	0.107424i		−	0.00607194i	0.999995	−	0.00303597i	$-0.000966381\pi$
$314$	−5.49064	+	20.6556i	−0.309855	+	1.16566i
$315$	9.74488	+	8.82293i	0.549062	+	0.497116i
$316$	−15.1037	+	26.4024i	−0.849651	+	1.48525i
$317$	14.3346			0.805113			0.402556	−	0.915395i	$-0.368122\pi$
$317$	14.3346			0.805113			0.402556	+	0.915395i	$0.368122\pi$
$318$	−22.5040	+	12.0262i	−1.26196	+	0.674395i
$319$		−	19.8910i		−	1.11368i
$320$	6.76121	+	11.3945i	0.377963	+	0.636975i
$321$	2.78081	−	9.09916i	0.155210	−	0.507866i
$322$	−1.80262	−	14.8005i	−0.100456	−	0.824801i
$323$		−	5.00086i		−	0.278255i
$324$	16.6594	−	6.81648i	0.925522	−	0.378693i
$325$	9.60944	−	5.54801i	0.533036	−	0.307748i
$326$	5.93612	+	5.91256i	0.328771	+	0.327466i
$327$	17.2561	−	16.0950i	0.954263	−	0.890058i
$328$	0.760021	+	2.77021i	0.0419651	+	0.152959i
$329$	0.734259	−	5.11447i	0.0404810	−	0.281970i
$330$	0.360910	−	10.9963i	0.0198674	−	0.605327i
$331$			13.9762i			0.768202i	0.923291	+	0.384101i	$0.125489\pi$
$331$			13.9762i			0.768202i	−0.923291	+	0.384101i	$0.874511\pi$
$332$	0.116206	+	29.2142i	0.00637765	+	1.60334i
$333$	−1.86126	+	26.7006i	−0.101997	+	1.46318i
$334$	−16.4797	+	16.5454i	−0.901728	+	0.905322i
$335$	−3.50522	−	6.07123i	−0.191511	−	0.331706i
$336$	10.5903	+	14.9615i	0.577746	+	0.816216i
$337$	8.48571	−	14.6977i	0.462246	−	0.800634i	−0.536827	−	0.843693i	$-0.680377\pi$
$337$	8.48571	−	14.6977i	0.462246	−	0.800634i	0.999073	+	0.0430591i	$0.0137104\pi$
$338$	4.11846	+	15.2489i	0.224015	+	0.829432i
$339$	−0.865179	−	0.264409i	−0.0469900	−	0.0143607i
$340$	−9.46114	+	5.51269i	−0.513103	+	0.298967i
$341$	14.8323	+	8.56343i	0.803214	+	0.463736i
$342$	2.07613	−	6.07302i	0.112264	−	0.328391i
$343$	−7.68303	+	16.8514i	−0.414845	+	0.909892i
$344$	17.9783	+	4.70248i	0.969325	+	0.253541i
$345$	10.9318	+	3.34089i	0.588548	+	0.179867i
$346$	5.89449	−	22.1749i	0.316890	−	1.19213i
$347$			17.6139i			0.945561i	0.881180	+	0.472781i	$0.156750\pi$
$347$			17.6139i			0.945561i	−0.881180	+	0.472781i	$0.843250\pi$
$348$	−24.7321	+	5.81641i	−1.32578	+	0.311792i
$349$	24.0589	−	13.8904i	1.28785	−	0.743538i	0.309576	−	0.950875i	$-0.399813\pi$
$349$	24.0589	−	13.8904i	1.28785	−	0.743538i	0.978270	+	0.207337i	$0.0664796\pi$
$350$	5.07578	+	6.74948i	0.271312	+	0.360775i
$351$	4.00438	+	25.2295i	0.213738	+	1.34665i
$352$	3.82314	−	14.8576i	0.203774	−	0.791912i
$353$	17.6109	+	10.1677i	0.937335	+	0.541170i	0.889124	−	0.457667i	$-0.151315\pi$
$353$	17.6109	+	10.1677i	0.937335	+	0.541170i	0.0482109	+	0.998837i	$0.484648\pi$
$354$	−0.522747	+	15.9272i	−0.0277837	+	0.846522i
$355$	−1.74761	−	3.02695i	−0.0927536	−	0.160654i
$356$	5.36781	+	9.21250i	0.284493	+	0.488261i
$357$	−12.4341	+	8.65365i	−0.658083	+	0.457999i
$358$	−23.8872	+	6.45149i	−1.26248	+	0.340972i
$359$	−9.00180	−	5.19719i	−0.475097	−	0.274297i	0.243274	−	0.969958i	$-0.421779\pi$
$359$	−9.00180	−	5.19719i	−0.475097	−	0.274297i	−0.718371	+	0.695660i	$0.755112\pi$
$360$	−13.7782	+	2.76673i	−0.726174	+	0.145820i
$361$	8.35578	+	14.4726i	0.439778	+	0.761718i
$362$	−3.33361	+	12.5409i	−0.175211	+	0.659136i
$363$	4.61664	−	4.30603i	0.242311	−	0.226008i
$364$	−24.1099	+	9.76947i	−1.26370	+	0.512059i
$365$	−4.36380	+	7.55833i	−0.228412	+	0.395621i
$366$	27.6886	+	0.908768i	1.44731	+	0.0475021i
$367$	−6.21836	+	10.7705i	−0.324596	+	0.562216i	−0.981430	−	0.191818i	$-0.938562\pi$
$367$	−6.21836	+	10.7705i	−0.324596	+	0.562216i	0.656835	+	0.754034i	$0.271895\pi$
$368$	13.8668	+	7.85960i	0.722859	+	0.409710i
$369$	−3.03946	−	0.211877i	−0.158228	−	0.0110299i
$370$	5.36830	−	20.1953i	0.279085	−	1.04991i
$371$	25.5839	−	10.2485i	1.32825	−	0.532074i
$372$	6.31046	−	20.9463i	0.327182	−	1.08602i
$373$	−3.52422	−	6.10412i	−0.182477	−	0.316059i	0.760246	−	0.649635i	$-0.225078\pi$
$373$	−3.52422	−	6.10412i	−0.182477	−	0.316059i	−0.942723	+	0.333575i	$0.891745\pi$
$374$	12.2535	+	3.25720i	0.633612	+	0.168426i
$375$	−20.2835	+	4.68513i	−1.04744	+	0.241939i
$376$	3.92905	+	3.88244i	0.202625	+	0.200222i
$377$		−	36.0570i		−	1.85703i
$378$	−18.6925	+	5.34685i	−0.961441	+	0.275012i
$379$		−	5.49479i		−	0.282248i	−0.989992	−	0.141124i	$-0.954928\pi$
$379$		−	5.49479i		−	0.282248i	0.989992	−	0.141124i	$-0.0450717\pi$
$380$	−2.48813	+	4.34944i	−0.127639	+	0.223121i
$381$	−14.0840	+	3.25316i	−0.721545	+	0.166664i
$382$	−0.271092	+	1.01984i	−0.0138703	+	0.0521794i
$383$	14.9307	+	25.8607i	0.762923	+	1.32142i	0.941338	+	0.337466i	$0.109570\pi$
$383$	14.9307	+	25.8607i	0.762923	+	1.32142i	−0.178414	+	0.983955i	$0.557097\pi$
$384$	−19.5916	−	0.409057i	−0.999782	−	0.0208746i
$385$	−1.68878	+	11.7632i	−0.0860682	+	0.599506i
$386$	7.20517	+	1.91527i	0.366733	+	0.0974846i
$387$	−11.0184	+	16.3430i	−0.560094	+	0.830763i
$388$	−9.71105	+	0.0386279i	−0.493004	+	0.00196103i
$389$	1.85969	−	3.22107i	0.0942899	−	0.163315i	−0.815022	−	0.579430i	$-0.803275\pi$
$389$	1.85969	−	3.22107i	0.0942899	−	0.163315i	0.909312	+	0.416115i	$0.136609\pi$
$390$	0.654233	−	19.9334i	0.0331284	−	1.00937i
$391$	−6.58651	+	11.4082i	−0.333094	+	0.576936i
$392$	−9.59939	−	17.3162i	−0.484843	−	0.874601i
$393$	21.7071	−	20.2466i	1.09498	−	1.02131i
$394$	−17.7668	−	4.72275i	−0.895079	−	0.237929i
$395$	12.5942	+	21.8138i	0.633682	+	1.09757i
$396$	13.5283	+	9.04263i	0.679824	+	0.454409i
$397$	15.9038	+	9.18206i	0.798189	+	0.460834i	0.842837	−	0.538168i	$-0.180884\pi$
$397$	15.9038	+	9.18206i	0.798189	+	0.460834i	−0.0446487	+	0.999003i	$0.514217\pi$
$398$	−3.63244	−	13.4494i	−0.182078	−	0.674157i
$399$	−2.94766	+	6.27443i	−0.147568	+	0.314114i
$400$	−9.02786	+	0.0718219i	−0.451393	+	0.00359109i
$401$	12.0156	+	20.8116i	0.600029	+	1.03928i	0.992816	+	0.119651i	$0.0381776\pi$
$401$	12.0156	+	20.8116i	0.600029	+	1.03928i	−0.392787	+	0.919629i	$0.628489\pi$
$402$	10.3628	+	0.340118i	0.516850	+	0.0169635i
$403$	26.8870	+	15.5232i	1.33934	+	0.773266i
$404$	2.83960	+	4.87346i	0.141276	+	0.242464i
$405$	2.06807	−	14.7615i	0.102763	−	0.733507i
$406$	27.2413	−	3.31783i	1.35196	−	0.164661i
$407$	−20.9545	+	12.0981i	−1.03868	+	0.599680i
$408$	0.466861	−	16.1883i	0.0231131	−	0.801438i
$409$			3.31574i			0.163953i	0.996634	+	0.0819764i	$0.0261232\pi$
$409$			3.31574i			0.163953i	−0.996634	+	0.0819764i	$0.973877\pi$
$410$	2.29893	+	0.611100i	0.113536	+	0.0301801i
$411$	0.248216	+	0.0758578i	0.0122436	+	0.00374179i
$412$	−0.0126857	−	3.18919i	−0.000624981	−	0.157120i
$413$	2.44605	−	17.0379i	0.120362	−	0.838382i
$414$	−12.7348	+	11.1196i	−0.625881	+	0.546499i
$415$	20.9512	+	12.0962i	1.02845	+	0.593778i
$416$	6.93033	−	26.9328i	0.339787	−	1.32049i
$417$	20.0913	+	6.14015i	0.983876	+	0.300684i
$418$	5.60133	−	1.51282i	0.273970	−	0.0739944i
$419$	−1.19685	+	2.07300i	−0.0584698	+	0.101273i	−0.893779	−	0.448508i	$-0.851955\pi$
$419$	−1.19685	+	2.07300i	−0.0584698	+	0.101273i	0.835309	+	0.549781i	$0.185289\pi$
$420$	15.1200	−	1.33992i	0.737779	−	0.0653814i
$421$	−3.27117	−	5.66583i	−0.159427	−	0.276135i	0.775235	−	0.631673i	$-0.217631\pi$
$421$	−3.27117	−	5.66583i	−0.159427	−	0.276135i	−0.934662	+	0.355537i	$0.884298\pi$
$422$	−23.6353	−	23.5414i	−1.15055	−	1.14598i
$423$	−5.26523	+	2.56944i	−0.256004	+	0.124930i
$424$	−7.45569	+	28.5042i	−0.362080	+	1.38429i
$425$		−	7.46128i		−	0.361925i
$426$	5.16662	+	0.169574i	0.250324	+	0.00821588i
$427$	−29.6195	−	4.25233i	−1.43339	−	0.205785i
$428$	−5.53106	−	9.49268i	−0.267354	−	0.458846i
$429$	−16.8876	+	15.7514i	−0.815342	+	0.760484i
$430$	10.8597	−	10.9030i	0.523702	−	0.525789i
$431$	19.2653	−	11.1228i	0.927978	−	0.535768i	0.0418066	−	0.999126i	$-0.486689\pi$
$431$	19.2653	−	11.1228i	0.927978	−	0.535768i	0.886172	+	0.463357i	$0.153355\pi$
$432$	7.28760	−	19.4651i	0.350625	−	0.936516i
$433$			5.03561i			0.241996i	0.992653	+	0.120998i	$0.0386094\pi$
$433$			5.03561i			0.241996i	−0.992653	+	0.120998i	$0.961391\pi$
$434$	−9.25383	+	21.7417i	−0.444198	+	1.04363i
$435$	−6.14911	+	20.1207i	−0.294827	+	0.964711i
$436$	−0.108383	−	27.2473i	−0.00519058	−	1.30491i
$437$			6.02809i			0.288363i
$438$	−6.08385	−	11.3844i	−0.290698	−	0.543967i
$439$	−16.4591			−0.785551			−0.392776	−	0.919634i	$-0.628485\pi$
$439$	−16.4591			−0.785551			−0.392776	+	0.919634i	$0.628485\pi$
$440$	−9.03672	−	8.92953i	−0.430809	−	0.425698i
$441$	20.7015	−	3.52843i	0.985784	−	0.168020i
$442$	22.2123	+	5.90444i	1.05653	+	0.280846i
$443$		−	26.8092i		−	1.27374i	−0.770969	−	0.636872i	$-0.780228\pi$
$443$		−	26.8092i		−	1.27374i	0.770969	−	0.636872i	$-0.219772\pi$
$444$	21.1700	+	22.5169i	1.00468	+	1.06860i
$445$	8.82935			0.418551
$446$	−1.75185	−	6.48638i	−0.0829526	−	0.307139i
$447$	20.9655	−	19.5549i	0.991633	−	0.924914i
$448$	20.9856	+	2.75764i	0.991476	+	0.130286i
$449$	−7.27030			−0.343107			−0.171553	−	0.985175i	$-0.554879\pi$
$449$	−7.27030			−0.343107			−0.171553	+	0.985175i	$0.554879\pi$
$450$	3.09759	−	9.06095i	0.146022	−	0.427137i
$451$	−1.37719	−	2.38535i	−0.0648491	−	0.112322i
$452$	−0.902595	+	0.525912i	−0.0424545	+	0.0247368i
$453$	−8.60471	+	28.1557i	−0.404285	+	1.32287i
$454$	27.6287	−	27.7388i	1.29668	−	1.30185i
$455$	−3.06131	+	21.3235i	−0.143516	+	0.999660i
$456$	−3.51893	−	6.52224i	−0.164789	−	0.305432i
$457$	9.18531			0.429670			0.214835	−	0.976650i	$-0.431079\pi$
$457$	9.18531			0.429670			0.214835	+	0.976650i	$0.431079\pi$
$458$	13.8183	−	3.73207i	0.645685	−	0.174388i
$459$	16.0385	+	6.15060i	0.748611	+	0.287085i
$460$	11.4046	−	6.64506i	0.531741	−	0.309827i
$461$	19.8154	−	11.4404i	0.922894	−	0.532833i	0.0383369	−	0.999265i	$-0.487794\pi$
$461$	19.8154	−	11.4404i	0.922894	−	0.532833i	0.884557	+	0.466432i	$0.154461\pi$
$462$	−13.4542	−	11.3093i	−0.625946	−	0.526156i
$463$	8.96359	+	5.17513i	0.416573	+	0.240509i	0.693610	−	0.720351i	$-0.256019\pi$
$463$	8.96359	+	5.17513i	0.416573	+	0.240509i	−0.277037	+	0.960859i	$0.589352\pi$
$464$	−14.4661	+	25.5228i	−0.671571	+	1.18486i
$465$	−12.3563	−	13.2476i	−0.573008	−	0.614342i
$466$	13.4754	−	13.5291i	0.624237	−	0.626725i
$467$	2.05702	−	3.56287i	0.0951876	−	0.164870i	−0.814499	−	0.580165i	$-0.802988\pi$
$467$	2.05702	−	3.56287i	0.0951876	−	0.164870i	0.909687	+	0.415295i	$0.136322\pi$
$468$	24.5232	+	16.3919i	1.13359	+	0.757715i
$469$	−11.0855	−	1.59149i	−0.511880	−	0.0734881i
$470$	4.41589	−	1.19265i	0.203690	−	0.0550129i
$471$	−25.5048	+	5.89116i	−1.17520	+	0.271451i
$472$	13.0889	+	12.9337i	0.602466	+	0.595320i
$473$	−17.8184			−0.819291
$474$	−37.2333	−	1.22203i	−1.71018	−	0.0561299i
$475$	−1.70718	−	2.95691i	−0.0783306	−	0.135673i
$476$	−2.41694	+	17.3248i	−0.110780	+	0.794081i
$477$	−25.9116	−	17.4694i	−1.18641	−	0.799868i
$478$	−25.0400	−	24.9406i	−1.14530	−	1.14076i
$479$	−4.35898	+	7.54998i	−0.199167	+	0.344967i	−0.948259	−	0.317499i	$-0.897157\pi$
$479$	−4.35898	+	7.54998i	−0.199167	+	0.344967i	0.749092	+	0.662466i	$0.230490\pi$
$480$	−8.46037	+	13.8473i	−0.386161	+	0.632038i
$481$	−37.9849	+	21.9306i	−1.73196	+	0.999950i
$482$	−10.4622	−	10.4206i	−0.476539	−	0.474648i
$483$	14.9882	−	10.4312i	0.681988	−	0.474636i
$484$	−0.0289964	−	7.28968i	−0.00131802	−	0.331349i
$485$	−4.02087	+	6.96434i	−0.182578	+	0.316235i
$486$	16.9236	+	14.1277i	0.767669	+	0.640846i
$487$	29.6495	−	17.1181i	1.34355	−	0.775697i	0.356221	−	0.934402i	$-0.384065\pi$
$487$	29.6495	−	17.1181i	1.34355	−	0.775697i	0.987326	+	0.158704i	$0.0507316\pi$
$488$	22.4845	−	22.7544i	1.01782	−	1.03004i
$489$	−2.99904	+	9.81323i	−0.135621	+	0.443770i
$490$	−16.3917	−	0.350726i	−0.740501	−	0.0158442i
$491$	−34.6007	−	19.9767i	−1.56151	−	0.901537i	−0.997105	−	0.0760381i	$-0.975773\pi$
$491$	−34.6007	−	19.9767i	−1.56151	−	0.901537i	−0.564403	−	0.825499i	$-0.690894\pi$
$492$	−2.56321	+	2.40989i	−0.115558	+	0.108646i
$493$	−20.9974	−	12.1229i	−0.945677	−	0.545987i
$494$	10.1537	−	2.74234i	0.456837	−	0.123384i
$495$	12.1099	−	5.90965i	0.544300	−	0.265619i
$496$	−12.8039	−	21.7751i	−0.574912	−	0.977731i
$497$	−5.52693	−	0.793474i	−0.247917	−	0.0355922i
$498$	−31.5568	+	16.8640i	−1.41409	+	0.755696i
$499$	−13.4941	+	7.79083i	−0.604080	+	0.348766i	−0.770645	−	0.637265i	$-0.780066\pi$
$499$	−13.4941	+	7.79083i	−0.604080	+	0.348766i	0.166565	+	0.986030i	$0.446732\pi$
$500$	−11.9361	+	20.8652i	−0.533800	+	0.933121i
$501$	−27.3518	−	8.35903i	−1.22199	−	0.373454i
$502$	−6.27355	−	1.66763i	−0.280002	−	0.0744299i
$503$	9.03852			0.403008			0.201504	−	0.979488i	$-0.435417\pi$
$503$	9.03852			0.403008			0.201504	+	0.979488i	$0.435417\pi$
$504$	−10.1276	+	20.0358i	−0.451120	+	0.892463i
$505$	4.67078			0.207847
$506$	−14.7705	−	3.92627i	−0.656628	−	0.174544i
$507$	−14.1468	+	13.1949i	−0.628280	+	0.586008i
$508$	−8.28793	+	14.4879i	−0.367717	+	0.642797i
$509$	13.0489	−	7.53379i	0.578382	−	0.333929i	−0.182108	−	0.983279i	$-0.558292\pi$
$509$	13.0489	−	7.53379i	0.578382	−	0.333929i	0.760490	+	0.649349i	$0.224959\pi$
$510$	−11.3880	−	7.08287i	−0.504271	−	0.313635i
$511$	5.18453	+	12.9425i	0.229350	+	0.572542i
$512$	−15.7111	+	16.2838i	−0.694337	+	0.719650i
$513$	7.76335	−	1.23218i	0.342760	−	0.0544022i
$514$	−35.7784	+	9.66310i	−1.57812	+	0.426221i
$515$	−2.28715	−	1.32049i	−0.100784	−	0.0581876i
$516$	5.21037	+	22.1551i	0.229374	+	0.975326i
$517$	−4.58678	−	2.64818i	−0.201726	−	0.116467i
$518$	−20.0639	−	26.6799i	−0.881559	−	1.17225i
$519$	27.3808	−	6.32448i	1.20188	−	0.277614i
$520$	−16.3812	−	16.1868i	−0.718362	−	0.709840i
$521$	−9.24459	+	5.33737i	−0.405013	+	0.233834i	−0.688645	−	0.725099i	$-0.741794\pi$
$521$	−9.24459	+	5.33737i	−0.405013	+	0.233834i	0.283632	+	0.958933i	$0.408461\pi$
$522$	−20.4663	−	23.4392i	−0.895786	−	1.02590i
$523$	−5.88205	+	10.1880i	−0.257204	+	0.445490i	−0.965492	−	0.260433i	$-0.916135\pi$
$523$	−5.88205	+	10.1880i	−0.257204	+	0.445490i	0.708288	+	0.705924i	$0.249468\pi$
$524$	−0.136339	−	34.2756i	−0.00595599	−	1.49733i
$525$	−4.39791	+	9.36145i	−0.191941	+	0.408567i
$526$	−5.94535	−	5.92175i	−0.259229	−	0.258200i
$527$	18.0796	−	10.4382i	0.787558	−	0.454697i
$528$	18.2733	−	4.37422i	0.795242	−	0.190363i
$529$	−3.56054	+	6.16704i	−0.154806	+	0.268132i
$530$	17.2865	+	17.2179i	0.750877	+	0.747896i
$531$	−17.5402	+	8.55962i	−0.761178	+	0.371456i
$532$	3.00616	+	7.41885i	0.130333	+	0.321648i
$533$	−2.49647	−	4.32401i	−0.108134	−	0.187294i
$534$	−6.89673	+	11.0888i	−0.298451	+	0.479857i
$535$	−9.09788			−0.393336
$536$	8.41509	−	8.51612i	0.363477	−	0.367840i
$537$	−20.6696	−	22.1606i	−0.891960	−	0.956302i
$538$	−2.36000	+	0.637394i	−0.101747	+	0.0274800i
$539$	13.1064	+	13.7341i	0.564531	+	0.591568i
$540$	−10.8891	−	13.3292i	−0.468592	−	0.573598i
$541$	7.31831	−	12.6757i	0.314639	−	0.544970i	−0.664722	−	0.747091i	$-0.731450\pi$
$541$	7.31831	−	12.6757i	0.314639	−	0.544970i	0.979361	+	0.202120i	$0.0647833\pi$
$542$	6.72958	−	6.75640i	0.289060	−	0.290212i
$543$	−15.4851	+	3.57678i	−0.664528	+	0.153494i
$544$	−13.3540	−	13.0910i	−0.572547	−	0.561272i
$545$	−19.5406	−	11.2818i	−0.837028	−	0.483258i
$546$	−24.3889	−	20.5007i	−1.04375	−	0.877351i
$547$	28.3730	−	16.3812i	1.21314	−	0.700408i	0.249699	−	0.968323i	$-0.419668\pi$
$547$	28.3730	−	16.3812i	1.21314	−	0.700408i	0.963442	+	0.267916i	$0.0863349\pi$
$548$	0.258951	−	0.150882i	0.0110618	−	0.00644535i
$549$	14.8804	+	30.4926i	0.635082	+	1.30139i
$550$	8.35719	−	2.25713i	0.356352	−	0.0962442i
$551$	−11.0951			−0.472666
$552$	−0.562760	+	19.5135i	−0.0239527	+	0.830550i
$553$	39.8299	+	5.71818i	1.69374	+	0.243162i
$554$	7.04640	−	7.07449i	0.299373	−	0.300566i
$555$	24.9365	−	5.75990i	1.05850	−	0.244494i
$556$	20.9602	−	12.2128i	0.888911	−	0.517939i
$557$	7.70165	+	13.3397i	0.326330	+	0.565219i	0.981781	−	0.190018i	$-0.0608547\pi$
$557$	7.70165	+	13.3397i	0.326330	+	0.565219i	−0.655451	+	0.755238i	$0.727521\pi$
$558$	26.2892	−	5.17032i	1.11291	−	0.218877i
$559$	−32.3000			−1.36614
$560$	10.7219	−	13.8655i	0.453084	−	0.585925i
$561$	3.49480	+	15.1302i	0.147551	+	0.638796i
$562$	0.601030	+	2.22536i	0.0253529	+	0.0938713i
$563$	−30.9832			−1.30579			−0.652893	−	0.757450i	$-0.726445\pi$
$563$	−30.9832			−1.30579			−0.652893	+	0.757450i	$0.726445\pi$
$564$	−1.95146	+	6.47750i	−0.0821714	+	0.272752i
$565$			0.865056i			0.0363932i
$566$	34.3092	+	9.12001i	1.44212	+	0.383343i
$567$	−16.4976	−	17.1705i	−0.692836	−	0.721095i
$568$	4.19554	−	4.24591i	0.176041	−	0.178154i
$569$	−38.2081			−1.60177			−0.800884	−	0.598820i	$-0.795637\pi$
$569$	−38.2081			−1.60177			−0.800884	+	0.598820i	$0.795637\pi$
$570$	−6.13368	−	0.201314i	−0.256912	−	0.00843210i
$571$			10.2007i			0.426886i	0.976955	+	0.213443i	$0.0684678\pi$
$571$			10.2007i			0.426886i	−0.976955	+	0.213443i	$0.931532\pi$
$572$	0.106068	+	26.6656i	0.00443494	+	1.11494i
$573$	−1.25926	+	0.290867i	−0.0526063	+	0.0121511i
$574$	3.03710	−	2.28398i	0.126766	−	0.0953313i
$575$			8.99392i			0.375072i
$576$	−10.7822	−	21.4416i	−0.449259	−	0.893402i
$577$	28.2579	−	16.3147i	1.17639	−	0.679191i	0.221215	−	0.975225i	$-0.428998\pi$
$577$	28.2579	−	16.3147i	1.17639	−	0.679191i	0.955177	+	0.296035i	$0.0956643\pi$
$578$	−6.05968	+	6.08383i	−0.252050	+	0.253054i
$579$	2.05498	+	8.89669i	0.0854021	+	0.369734i
$580$	12.2306	+	20.9908i	0.507850	+	0.871596i
$581$	35.8757	−	14.3712i	1.48838	−	0.596217i
$582$	−5.60574	−	10.4897i	−0.232366	−	0.434813i
$583$		−	28.2507i		−	1.17003i
$584$	−14.4198	−	3.77171i	−0.596696	−	0.156074i
$585$	21.9520	−	10.7126i	0.907604	−	0.442912i
$586$	20.6561	+	20.5741i	0.853297	+	0.849909i
$587$	17.3247	+	30.0073i	0.715067	+	1.23853i	0.962934	+	0.269738i	$0.0869372\pi$
$587$	17.3247	+	30.0073i	0.715067	+	1.23853i	−0.247867	+	0.968794i	$0.579729\pi$
$588$	13.2442	−	20.3123i	0.546183	−	0.837666i
$589$	4.77664	−	8.27338i	0.196818	−	0.340898i
$590$	14.7107	−	3.97310i	0.605631	−	0.163570i
$591$	−5.06725	−	21.9378i	−0.208439	−	0.902402i
$592$	35.6860	−	0.283903i	1.46669	−	0.0116683i
$593$	4.42792	+	2.55646i	0.181833	+	0.104981i	0.588153	−	0.808749i	$-0.299855\pi$
$593$	4.42792	+	2.55646i	0.181833	+	0.104981i	−0.406321	+	0.913731i	$0.633188\pi$
$594$	−2.03730	+	19.8249i	−0.0835915	+	0.813425i
$595$	11.3883	+	8.95197i	0.466873	+	0.366995i
$596$	−0.131681	−	33.1045i	−0.00539385	−	1.35601i
$597$	12.4773	−	11.6378i	0.510661	−	0.476303i
$598$	−26.7750	−	7.11728i	−1.09491	−	0.291047i
$599$		−	23.2794i		−	0.951171i	−0.879669	−	0.475586i	$-0.842236\pi$
$599$		−	23.2794i		−	0.951171i	0.879669	−	0.475586i	$-0.157764\pi$
$600$	−5.25024	−	9.73119i	−0.214340	−	0.397274i
$601$	−35.2417	+	20.3468i	−1.43754	+	0.829964i	−0.997678	−	0.0681014i	$-0.978306\pi$
$601$	−35.2417	+	20.3468i	−1.43754	+	0.829964i	−0.439862	+	0.898066i	$0.644973\pi$
$602$	−2.97213	−	24.4028i	−0.121135	−	0.994585i
$603$	5.56919	+	11.4122i	0.226795	+	0.464743i
$604$	17.1148	+	29.3733i	0.696393	+	1.19518i
$605$	−5.22785	−	3.01830i	−0.212542	−	0.122711i
$606$	−3.64841	+	5.86601i	−0.148206	+	0.238291i
$607$	2.67342	+	4.63049i	0.108511	+	0.187946i	0.915167	−	0.403075i	$-0.132059\pi$
$607$	2.67342	+	4.63049i	0.108511	+	0.187946i	−0.806656	+	0.591021i	$0.798725\pi$
$608$	−8.28748	−	2.13253i	−0.336102	−	0.0864853i
$609$	19.1993	+	27.5868i	0.777994	+	1.11787i
$610$	−6.90703	−	25.5738i	−0.279657	−	1.03545i
$611$	−8.31460	−	4.80044i	−0.336373	−	0.194205i
$612$	17.7907	−	8.76967i	0.719146	−	0.354493i
$613$	−21.3074	−	36.9055i	−0.860597	−	1.49060i	−0.871354	−	0.490656i	$-0.836757\pi$
$613$	−21.3074	−	36.9055i	−0.860597	−	1.49060i	0.0107566	−	0.999942i	$-0.496576\pi$
$614$	−39.2722	−	10.4393i	−1.58490	−	0.421295i
$615$	0.655677	+	2.83864i	0.0264395	+	0.114465i
$616$	−20.1362	+	2.53380i	−0.811311	+	0.102090i
$617$	−3.10687	+	5.38126i	−0.125078	+	0.216641i	−0.921763	−	0.387753i	$-0.873251\pi$
$617$	−3.10687	+	5.38126i	−0.125078	+	0.216641i	0.796685	+	0.604394i	$0.206585\pi$
$618$	3.44492	−	1.84097i	0.138575	−	0.0740548i
$619$	−1.91636	+	3.31923i	−0.0770249	+	0.133411i	−0.901965	−	0.431809i	$-0.857875\pi$
$619$	−1.91636	+	3.31923i	−0.0770249	+	0.133411i	0.824940	+	0.565220i	$0.191209\pi$
$620$	−20.9180	+	0.0832059i	−0.840085	+	0.00334163i
$621$	−19.3330	−	7.41401i	−0.775805	−	0.297514i
$622$	13.9995	+	3.72134i	0.561331	+	0.149212i
$623$	8.71671	−	11.0890i	0.349228	−	0.444270i
$624$	33.1246	−	7.92929i	1.32604	−	0.317426i
$625$	4.31030	+	7.46567i	0.172412	+	0.298627i
$626$	0.0390279	−	0.146821i	0.00155987	−	0.00586816i
$627$	4.84685	+	5.19648i	0.193564	+	0.207527i
$628$	−15.0087	+	26.2363i	−0.598912	+	1.04694i
$629$			29.4935i			1.17598i
$630$	10.1134	+	15.5991i	0.402927	+	0.621484i
$631$		−	31.3249i		−	1.24703i	−0.781813	−	0.623513i	$-0.785705\pi$
$631$		−	31.3249i		−	1.24703i	0.781813	−	0.623513i	$-0.214295\pi$
$632$	−30.2352	+	30.5982i	−1.20269	+	1.21713i
$633$	11.9410	−	39.0724i	0.474612	−	1.55299i
$634$	19.5919	+	5.20788i	0.778092	+	0.206831i
$635$	6.91086	+	11.9700i	0.274249	+	0.475013i
$636$	−35.1266	+	8.26093i	−1.39286	+	0.327567i
$637$	23.7583	+	24.8962i	0.941340	+	0.986423i
$638$	7.22654	−	27.1860i	0.286102	−	1.07630i
$639$	2.77665	+	5.68985i	0.109843	+	0.225087i
$640$	5.10116	+	18.0299i	0.201641	+	0.712695i
$641$	−10.2056	+	17.6766i	−0.403097	+	0.698185i	−0.994098	−	0.108486i	$-0.965400\pi$
$641$	−10.2056	+	17.6766i	−0.403097	+	0.698185i	0.591001	+	0.806671i	$0.298733\pi$
$642$	7.10648	−	11.4260i	0.280470	−	0.450948i
$643$	7.30287	−	12.6489i	0.287997	−	0.498826i	−0.685334	−	0.728228i	$-0.740344\pi$
$643$	7.30287	−	12.6489i	0.287997	−	0.498826i	0.973332	+	0.229403i	$0.0736773\pi$
$644$	2.91341	−	20.8835i	0.114805	−	0.822926i
$645$	18.0242	+	5.50840i	0.709701	+	0.216893i
$646$	1.81685	−	6.83492i	0.0714830	−	0.268917i
$647$	−16.1015	−	27.8887i	−0.633017	−	1.09642i	−0.986932	−	0.161140i	$-0.948483\pi$
$647$	−16.1015	−	27.8887i	−0.633017	−	1.09642i	0.353915	−	0.935278i	$-0.384850\pi$
$648$	25.2457	−	3.26394i	0.991746	−	0.128220i
$649$	−15.2800	−	8.82192i	−0.599793	−	0.346291i
$650$	15.1493	−	4.09157i	0.594206	−	0.160484i
$651$	−28.8365	+	2.43991i	−1.13019	+	0.0956274i
$652$	5.96512	+	10.2376i	0.233612	+	0.400937i
$653$	17.9103	+	31.0215i	0.700883	+	1.21397i	0.968157	+	0.250344i	$0.0805439\pi$
$653$	17.9103	+	31.0215i	0.700883	+	1.21397i	−0.267274	+	0.963621i	$0.586123\pi$
$654$	29.4322	−	15.7286i	1.15089	−	0.615039i
$655$	−24.5809	−	14.1918i	−0.960457	−	0.554520i
$656$	0.0323181	+	4.06231i	0.00126181	+	0.158607i
$657$	8.83747	−	13.1082i	0.344783	−	0.511401i
$658$	2.86168	−	6.72344i	0.111560	−	0.262107i
$659$	0.326746	−	0.188647i	0.0127282	−	0.00734865i	−0.493622	−	0.869676i	$-0.664327\pi$
$659$	0.326746	−	0.188647i	0.0127282	−	0.00734865i	0.506351	+	0.862328i	$0.330994\pi$
$660$	4.48832	−	14.8981i	0.174708	−	0.579908i
$661$			39.3987i			1.53243i	0.642584	+	0.766216i	$0.277863\pi$
$661$			39.3987i			1.53243i	−0.642584	+	0.766216i	$0.722137\pi$
$662$	−5.07767	+	19.1020i	−0.197349	+	0.742420i
$663$	6.33515	+	27.4270i	0.246037	+	1.06517i
$664$	−10.4549	+	39.9708i	−0.405730	+	1.55117i
$665$	6.56143	+	0.941992i	0.254441	+	0.0365289i
$666$	−12.2444	+	35.8168i	−0.474461	+	1.38787i
$667$	25.3106	+	14.6131i	0.980029	+	0.565820i
$668$	−28.5347	+	16.6262i	−1.10404	+	0.643287i
$669$	6.01755	−	5.61268i	0.232652	−	0.216999i
$670$	−2.58504	−	9.57133i	−0.0998689	−	0.369773i
$671$	−15.3364	+	26.5635i	−0.592057	+	1.02547i
$672$	9.03862	+	24.2962i	0.348672	+	0.937245i
$673$	−16.6511	−	28.8406i	−0.641853	−	1.11172i	−0.985019	−	0.172447i	$-0.944833\pi$
$673$	−16.6511	−	28.8406i	−0.641853	−	1.11172i	0.343166	−	0.939275i	$-0.388501\pi$
$674$	16.9376	−	17.0051i	0.652413	−	0.655013i
$675$	11.5829	−	1.83842i	0.445827	−	0.0707608i
$676$	0.0888535	+	22.3378i	0.00341744	+	0.859144i
$677$			9.32909i			0.358546i	0.983799	+	0.179273i	$0.0573745\pi$
$677$			9.32909i			0.358546i	−0.983799	+	0.179273i	$0.942625\pi$
$678$	−1.08642	−	0.675707i	−0.0417238	−	0.0259504i
$679$	4.77709	+	11.9254i	0.183328	+	0.457654i
$680$	−14.9338	+	4.09716i	−0.572686	+	0.157119i
$681$	45.8561	+	14.0142i	1.75721	+	0.537025i
$682$	17.1609	+	17.0928i	0.657124	+	0.654516i
$683$	−1.57689	+	0.910416i	−0.0603379	+	0.0348361i	−0.529865	−	0.848082i	$-0.677758\pi$
$683$	−1.57689	+	0.910416i	−0.0603379	+	0.0348361i	0.469528	+	0.882918i	$0.344424\pi$
$684$	5.04393	−	7.54602i	0.192860	−	0.288529i
$685$		−	0.248181i		−	0.00948251i
$686$	−16.6231	+	20.2404i	−0.634671	+	0.772782i
$687$	11.9570	+	12.8195i	0.456187	+	0.489095i
$688$	22.8634	+	12.9588i	0.871659	+	0.494049i
$689$		−	51.2110i		−	1.95098i
$690$	13.7273	+	8.53777i	0.522588	+	0.325028i
$691$	−2.82516			−0.107474			−0.0537371	−	0.998555i	$-0.517113\pi$
$691$	−2.82516			−0.107474			−0.0537371	+	0.998555i	$0.517113\pi$
$692$	16.1126	−	28.1660i	0.612509	−	1.07071i
$693$	4.53336	−	21.0433i	0.172208	−	0.799370i
$694$	−6.39925	+	24.0737i	−0.242912	+	0.913827i
$695$		−	20.0885i		−	0.762000i
$696$	−35.9158	−	1.03579i	−1.36139	−	0.0392617i
$697$	−3.35739			−0.127170
$698$	37.9291	−	10.2440i	1.43564	−	0.387740i
$699$	22.3655	+	6.83518i	0.845942	+	0.258530i
$700$	4.48519	+	11.0689i	0.169524	+	0.418366i
$701$	21.7145			0.820146			0.410073	−	0.912053i	$-0.365503\pi$
$701$	21.7145			0.820146			0.410073	+	0.912053i	$0.365503\pi$
$702$	−3.69309	+	35.9372i	−0.139387	+	1.35636i
$703$	6.74825	+	11.6883i	0.254515	+	0.440833i
$704$	10.6232	−	18.9176i	0.400375	−	0.712985i
$705$	3.82108	+	4.09672i	0.143910	+	0.154291i
$706$	20.3757	+	20.2949i	0.766851	+	0.763807i
$707$	4.61119	−	5.86613i	0.173422	−	0.220618i
$708$	−6.50095	+	21.5786i	−0.244320	+	0.810974i
$709$	18.2252			0.684460			0.342230	−	0.939616i	$-0.388818\pi$
$709$	18.2252			0.684460			0.342230	+	0.939616i	$0.388818\pi$
$710$	−1.28883	−	4.77201i	−0.0483691	−	0.179090i
$711$	−20.0100	−	41.0039i	−0.750432	−	1.53777i
$712$	3.98949	+	14.5414i	0.149512	+	0.544960i
$713$	−21.7933	+	12.5824i	−0.816167	+	0.471214i
$714$	−20.1383	+	7.30996i	−0.753656	+	0.273569i
$715$	19.1234	+	11.0409i	0.715174	+	0.412906i
$716$	−34.9917	+	0.139187i	−1.30770	+	0.00520167i
$717$	12.6507	−	41.3946i	0.472449	−	1.54591i
$718$	−10.4150	−	10.3737i	−0.388686	−	0.387143i
$719$	−0.946279	+	1.63900i	−0.0352903	+	0.0611245i	−0.883131	−	0.469126i	$-0.844569\pi$
$719$	−0.946279	+	1.63900i	−0.0352903	+	0.0611245i	0.847841	+	0.530251i	$0.177902\pi$
$720$	−19.8365	−	1.22429i	−0.739264	−	0.0456266i
$721$	−3.91640	+	1.56884i	−0.145854	+	0.0584266i
$722$	6.16225	+	22.8162i	0.229335	+	0.849131i
$723$	5.28569	−	17.2954i	0.196577	−	0.643224i
$724$	−9.11242	+	15.9292i	−0.338660	+	0.592003i
$725$	−16.5539			−0.614795
$726$	7.87421	−	4.20800i	0.292239	−	0.156174i
$727$	−16.6125	−	28.7738i	−0.616125	−	1.06716i	−0.990186	−	0.139756i	$-0.955368\pi$
$727$	−16.6125	−	28.7738i	−0.616125	−	1.06716i	0.374061	−	0.927404i	$-0.377965\pi$
$728$	−36.5016	+	4.59311i	−1.35284	+	0.170232i
$729$	−5.59642	+	26.4136i	−0.207275	+	0.978283i
$730$	−8.71023	+	8.74494i	−0.322380	+	0.323665i
$731$	−10.8597	+	18.8096i	−0.401661	+	0.695698i
$732$	37.5133	+	11.3015i	1.38653	+	0.417717i
$733$	−7.05539	+	4.07343i	−0.260597	+	0.150456i	−0.624607	−	0.780939i	$-0.714741\pi$
$733$	−7.05539	+	4.07343i	−0.260597	+	0.150456i	0.364010	+	0.931395i	$0.381407\pi$
$734$	−12.4120	+	12.4614i	−0.458134	+	0.459960i
$735$	−9.01195	−	17.9444i	−0.332411	−	0.661888i
$736$	16.0971	+	15.7801i	0.593345	+	0.581660i
$737$	−5.73985	+	9.94172i	−0.211430	+	0.366208i
$738$	−4.07720	−	1.39384i	−0.150084	−	0.0513080i
$739$	−4.33522	+	2.50294i	−0.159474	+	0.0920722i	−0.577613	−	0.816311i	$-0.696016\pi$
$739$	−4.33522	+	2.50294i	−0.159474	+	0.0920722i	0.418139	+	0.908383i	$0.362682\pi$
$740$	14.6743	−	25.6517i	0.539436	−	0.942973i
$741$	8.78604	+	9.41982i	0.322763	+	0.346046i
$742$	38.6902	−	4.71225i	1.42036	−	0.172992i
$743$	23.9292	+	13.8155i	0.877877	+	0.506842i	0.869958	−	0.493126i	$-0.164146\pi$
$743$	23.9292	+	13.8155i	0.877877	+	0.506842i	0.00791898	+	0.999969i	$0.497479\pi$
$744$	16.2348	−	26.3358i	0.595197	−	0.965516i
$745$	−23.7411	−	13.7069i	−0.869807	−	0.502184i
$746$	−2.59905	−	9.62318i	−0.0951579	−	0.352330i
$747$	−36.3352	−	24.4969i	−1.32943	−	0.896295i
$748$	15.5641	+	8.90357i	0.569079	+	0.325547i
$749$	−8.98181	+	11.4262i	−0.328188	+	0.417505i
$750$	−29.4246	−	0.965746i	−1.07444	−	0.0352641i
$751$	28.3094	−	16.3445i	1.03303	−	0.596418i	0.115176	−	0.993345i	$-0.463257\pi$
$751$	28.3094	−	16.3445i	1.03303	−	0.596418i	0.917850	+	0.396927i	$0.129923\pi$
$752$	3.95951	+	6.73379i	0.144388	+	0.245556i
$753$	−1.78927	−	7.74637i	−0.0652048	−	0.282293i
$754$	13.0998	−	49.2809i	0.477066	−	1.79471i
$755$	28.1517			1.02455
$756$	−27.4906	+	0.516667i	−0.999823	+	0.0187910i
$757$	−19.8021			−0.719720			−0.359860	−	0.933006i	$-0.617176\pi$
$757$	−19.8021			−0.719720			−0.359860	+	0.933006i	$0.617176\pi$
$758$	1.99630	−	7.51001i	0.0725089	−	0.272776i
$759$	−4.21268	−	18.2381i	−0.152911	−	0.662001i
$760$	−4.98084	+	5.04064i	−0.180674	+	0.182843i
$761$	−41.0380	+	23.6933i	−1.48763	+	0.858881i	−0.999900	−	0.0141164i	$-0.995506\pi$
$761$	−41.0380	+	23.6933i	−1.48763	+	0.858881i	−0.487725	+	0.872997i	$0.662173\pi$
$762$	−20.4312	−	0.670572i	−0.740144	−	0.0242923i
$763$	−33.4603	+	13.4036i	−1.21135	+	0.485243i
$764$	−0.741029	+	1.29537i	−0.0268095	+	0.0468649i
$765$	1.14220	−	16.3853i	0.0412962	−	0.592411i
$766$	11.0111	+	40.7696i	0.397849	+	1.47307i
$767$	−27.6986	−	15.9918i	−1.00014	−	0.577430i
$768$	−26.6283	−	7.67688i	−0.960865	−	0.277015i
$769$	−41.6592	−	24.0520i	−1.50227	−	0.867336i	−0.999997	−	0.00262643i	$-0.999164\pi$
$769$	−41.6592	−	24.0520i	−1.50227	−	0.867336i	−0.502273	−	0.864709i	$-0.667503\pi$
$770$	−6.58179	+	15.4638i	−0.237191	+	0.557275i
$771$	−30.9591	−	33.1924i	−1.11497	−	1.19539i
$772$	9.15184	+	5.23539i	0.329382	+	0.188426i
$773$	−0.506957	+	0.292692i	−0.0182340	+	0.0105274i	−0.509089	−	0.860714i	$-0.670018\pi$
$773$	−0.506957	+	0.292692i	−0.0182340	+	0.0105274i	0.490855	+	0.871241i	$0.336684\pi$
$774$	−20.9969	+	18.3338i	−0.754718	+	0.658995i
$775$	7.12674	−	12.3439i	0.256000	−	0.443405i
$776$	−13.2866	−	3.47530i	−0.476962	−	0.124756i
$777$	17.3844	−	37.0047i	0.623662	−	1.32754i
$778$	3.71197	−	3.72676i	0.133081	−	0.133611i
$779$	−1.33054	+	0.768187i	−0.0476715	+	0.0275231i
$780$	8.13613	−	27.0063i	0.291320	−	0.966980i
$781$	−2.86174	+	4.95668i	−0.102401	+	0.177364i
$782$	−13.1468	+	13.1992i	−0.470128	+	0.472002i
$783$	13.6459	−	35.5835i	0.487666	−	1.27165i
$784$	−6.82886	−	27.1545i	−0.243888	−	0.969803i
$785$	12.5149	+	21.6765i	0.446677	+	0.773667i
$786$	37.0240	−	19.7857i	1.32060	−	0.705733i
$787$	1.22833			0.0437851			0.0218926	−	0.999760i	$-0.493031\pi$
$787$	1.22833			0.0437851			0.0218926	+	0.999760i	$0.493031\pi$
$788$	−22.5670	−	12.9096i	−0.803915	−	0.459887i
$789$	3.00370	−	9.82849i	0.106935	−	0.349903i
$790$	9.28800	+	34.3895i	0.330452	+	1.22352i
$791$	1.08644	+	0.854020i	0.0386294	+	0.0303655i
$792$	15.2046	+	17.2740i	0.540271	+	0.613804i
$793$	−27.8009	+	48.1525i	−0.987238	+	1.70995i
$794$	18.4006	+	18.3276i	0.653013	+	0.650421i
$795$	−8.73346	+	28.5769i	−0.309744	+	1.01352i
$796$	−0.0783678	−	19.7016i	−0.00277767	−	0.698306i
$797$	−10.3748	−	5.98989i	−0.367494	−	0.212173i	0.304869	−	0.952394i	$-0.401387\pi$
$797$	−10.3748	−	5.98989i	−0.367494	−	0.212173i	−0.672363	+	0.740222i	$0.734721\pi$
$798$	−6.30827	+	7.50468i	−0.223310	+	0.265663i
$799$	−5.59097	+	3.22795i	−0.197794	+	0.114197i
$800$	−12.3649	−	3.18173i	−0.437166	−	0.112491i
$801$	−15.9547	−	1.11218i	−0.563730	−	0.0392969i
$802$	8.86128	+	32.8096i	0.312903	+	1.15855i
$803$	14.2916			0.504339
$804$	14.0398	+	4.22975i	0.495146	+	0.149172i
$805$	−13.7275	−	10.7908i	−0.483832	−	0.380326i
$806$	31.1081	+	30.9846i	1.09574	+	1.09139i
$807$	−2.04212	−	2.18942i	−0.0718859	−	0.0770714i
$808$	2.11046	+	7.69246i	0.0742458	+	0.270620i
$809$	−3.43996	−	5.95818i	−0.120943	−	0.209479i	0.799197	−	0.601069i	$-0.205258\pi$
$809$	−3.43996	−	5.95818i	−0.120943	−	0.209479i	−0.920140	+	0.391590i	$0.871925\pi$
$810$	8.18952	−	19.4240i	0.287750	−	0.682490i
$811$	12.6994			0.445938			0.222969	−	0.974826i	$-0.428425\pi$
$811$	12.6994			0.445938			0.222969	+	0.974826i	$0.428425\pi$
$812$	38.4374	+	5.36231i	1.34889	+	0.188180i
$813$	11.1693	+	3.41346i	0.391724	+	0.119715i
$814$	−33.0349	+	8.92214i	−1.15787	+	0.312721i
$815$	9.81185			0.343694
$816$	6.51940	−	21.9557i	0.228225	−	0.768603i
$817$			9.93901i			0.347722i
$818$	−1.20464	+	4.53179i	−0.0421191	+	0.158450i
$819$	8.21777	−	38.1459i	0.287152	−	1.33293i
$820$	2.92005	+	1.67044i	0.101973	+	0.0583344i
$821$	−40.0401			−1.39741			−0.698704	−	0.715411i	$-0.746239\pi$
$821$	−40.0401			−1.39741			−0.698704	+	0.715411i	$0.746239\pi$
$822$	0.311690	+	0.193858i	0.0108714	+	0.00676156i
$823$			35.4514i			1.23576i	0.786274	+	0.617878i	$0.212008\pi$
$823$			35.4514i			1.23576i	−0.786274	+	0.617878i	$0.787992\pi$
$824$	1.14132	−	4.36344i	0.0397598	−	0.152008i
$825$	7.23150	+	7.75314i	0.251768	+	0.269930i
$826$	9.53316	−	22.3979i	0.331701	−	0.779324i
$827$			51.5618i			1.79298i	0.443064	+	0.896490i	$0.353891\pi$
$827$			51.5618i			1.79298i	−0.443064	+	0.896490i	$0.646109\pi$
$828$	−21.4451	+	10.5711i	−0.745270	+	0.367370i
$829$	35.0577	−	20.2406i	1.21760	−	0.702984i	0.253199	−	0.967414i	$-0.418517\pi$
$829$	35.0577	−	20.2406i	1.21760	−	0.702984i	0.964405	+	0.264431i	$0.0851840\pi$
$830$	24.2404	+	24.1442i	0.841397	+	0.838057i
$831$	11.6951	+	3.57417i	0.405699	+	0.123986i
$832$	19.2569	−	34.2926i	0.667614	−	1.18888i
$833$	22.4859	−	5.46498i	0.779091	−	0.189350i
$834$	25.2291	+	15.6914i	0.873611	+	0.543348i
$835$			27.3479i			0.946414i
$836$	8.20524	−	0.0326382i	0.283784	−	0.00112882i
$837$	20.6591	+	25.4949i	0.714082	+	0.881231i
$838$	−2.38893	+	2.39845i	−0.0825242	+	0.0828531i
$839$	−3.71303	−	6.43115i	−0.128188	−	0.222028i	0.794787	−	0.606889i	$-0.207583\pi$
$839$	−3.71303	−	6.43115i	−0.128188	−	0.222028i	−0.922975	+	0.384861i	$0.874249\pi$
$840$	21.1520	+	3.66187i	0.729815	+	0.126347i
$841$	−12.3962	+	21.4709i	−0.427456	+	0.740375i
$842$	−2.41243	−	8.93221i	−0.0831378	−	0.307824i
$843$	−2.06452	+	1.92561i	−0.0711058	+	0.0663216i
$844$	−23.7507	−	40.7622i	−0.817534	−	1.40309i
$845$	16.0197	+	9.24896i	0.551093	+	0.318174i
$846$	−8.12975	+	1.59888i	−0.279507	+	0.0549707i
$847$	−8.95189	+	3.58597i	−0.307591	+	0.123215i
$848$	−20.5459	+	36.2495i	−0.705548	+	1.24481i
$849$	9.78528	+	42.3637i	0.335830	+	1.45392i
$850$	2.71074	−	10.1977i	0.0929777	−	0.349779i
$851$		−	35.5519i		−	1.21870i
$852$	6.99988	+	2.10884i	0.239812	+	0.0722477i
$853$	8.86973	−	5.12094i	0.303694	−	0.175338i	−0.340407	−	0.940278i	$-0.610565\pi$
$853$	8.86973	−	5.12094i	0.303694	−	0.175338i	0.644101	+	0.764940i	$0.277232\pi$
$854$	−38.9376	−	16.5729i	−1.33242	−	0.567112i
$855$	−3.29637	−	6.75484i	−0.112733	−	0.231011i
$856$	−4.11082	−	14.9836i	−0.140505	−	0.512129i
$857$	−15.5246	−	8.96315i	−0.530311	−	0.306175i	0.210832	−	0.977522i	$-0.432383\pi$
$857$	−15.5246	−	8.96315i	−0.530311	−	0.306175i	−0.741143	+	0.671347i	$0.765716\pi$
$858$	−28.8038	+	15.3928i	−0.983344	+	0.525502i
$859$	17.5755	+	30.4417i	0.599670	+	1.03866i	0.992870	+	0.119205i	$0.0380346\pi$
$859$	17.5755	+	30.4417i	0.599670	+	1.03866i	−0.393200	+	0.919453i	$0.628632\pi$
$860$	18.8037	−	10.9563i	0.641199	−	0.373605i
$861$	4.21242	+	1.97895i	0.143559	+	0.0674425i
$862$	30.3719	−	8.20291i	1.03447	−	0.279392i
$863$	13.3132	+	7.68639i	0.453187	+	0.261648i	0.709175	−	0.705032i	$-0.249068\pi$
$863$	13.3132	+	7.68639i	0.453187	+	0.261648i	−0.255988	+	0.966680i	$0.582401\pi$
$864$	17.0322	−	23.9563i	0.579446	−	0.815011i
$865$	−13.4354	−	23.2709i	−0.456819	−	0.791233i
$866$	−1.82948	+	6.88242i	−0.0621681	+	0.233874i
$867$	−10.0574	−	3.07367i	−0.341568	−	0.104387i
$868$	−20.5466	+	26.3534i	−0.697397	+	0.894494i
$869$	20.6232	−	35.7204i	0.699593	−	1.21173i
$870$	−15.7143	+	25.2659i	−0.532765	+	0.856594i
$871$	−10.4048	+	18.0217i	−0.352554	+	0.610641i
$872$	9.75104	−	37.2797i	0.330212	−	1.26245i
$873$	8.14297	−	12.0781i	0.275598	−	0.408782i
$874$	−2.19005	+	8.23890i	−0.0740797	+	0.278685i
$875$	31.4766	+	4.51894i	1.06410	+	0.152768i
$876$	−4.17907	−	17.7699i	−0.141198	−	0.600391i
$877$	−11.2020	−	19.4025i	−0.378265	−	0.655174i	0.612545	−	0.790436i	$-0.290146\pi$
$877$	−11.2020	−	19.4025i	−0.378265	−	0.655174i	−0.990810	+	0.135261i	$0.956813\pi$
$878$	−22.4955	−	5.97973i	−0.759187	−	0.201806i
$879$	−10.4359	+	34.1474i	−0.351993	+	1.15176i
$880$	−9.10678	−	15.4875i	−0.306990	−	0.522085i
$881$			29.1250i			0.981247i	0.871372	+	0.490624i	$0.163231\pi$
$881$			29.1250i			0.981247i	−0.871372	+	0.490624i	$0.836769\pi$
$882$	29.5756	+	2.69852i	0.995863	+	0.0908639i
$883$		−	20.8057i		−	0.700168i	−0.936718	−	0.350084i	$-0.886153\pi$
$883$		−	20.8057i		−	0.700168i	0.936718	−	0.350084i	$-0.113847\pi$
$884$	28.2135	+	16.1398i	0.948924	+	0.542840i
$885$	12.7292	+	13.6475i	0.427889	+	0.458755i
$886$	9.74000	−	36.6415i	0.327222	−	1.23100i
$887$	−6.23363	−	10.7970i	−0.209305	−	0.362526i	0.742191	−	0.670188i	$-0.233787\pi$
$887$	−6.23363	−	10.7970i	−0.209305	−	0.362526i	−0.951496	+	0.307662i	$0.900453\pi$
$888$	20.7536	+	38.4662i	0.696444	+	1.29084i
$889$	21.8560	+	3.13776i	0.733027	+	0.105237i
$890$	12.0675	+	3.20777i	0.404504	+	0.107525i
$891$	−22.6270	+	9.15334i	−0.758034	+	0.306648i
$892$	−0.0377952	−	9.50172i	−0.00126548	−	0.318141i
$893$	−1.47714	+	2.55848i	−0.0494306	+	0.0856162i
$894$	35.7590	−	19.1097i	1.19596	−	0.639125i
$895$	−14.4883	+	25.0945i	−0.484291	+	0.838817i
$896$	27.6802	+	11.3932i	0.924731	+	0.380621i
$897$	−7.63646	−	33.0608i	−0.254974	−	1.10387i
$898$	−9.93668	−	2.64136i	−0.331591	−	0.0881432i
$899$	−23.1586	−	40.1120i	−0.772384	−	1.33781i
$900$	7.52555	−	11.2587i	0.250852	−	0.375289i
$901$	−29.8222	−	17.2179i	−0.993522	−	0.573610i
$902$	−1.01565	−	3.76053i	−0.0338175	−	0.125212i
$903$	24.7123	−	17.1988i	0.822375	−	0.572340i
$904$	−1.42469	+	0.390870i	−0.0473845	+	0.0130001i
$905$	7.59836	+	13.1607i	0.252578	+	0.437478i
$906$	−21.9897	+	35.3556i	−0.730558	+	1.17461i
$907$	−23.9315	−	13.8169i	−0.794634	−	0.458782i	0.0469575	−	0.998897i	$-0.485047\pi$
$907$	−23.9315	−	13.8169i	−0.794634	−	0.458782i	−0.841591	+	0.540115i	$0.818381\pi$
$908$	47.8393	−	27.8743i	1.58760	−	0.925043i
$909$	−8.44010	−	0.588349i	−0.279941	−	0.0195143i
$910$	−11.9310	+	28.0317i	−0.395510	+	0.929241i
$911$	16.9835	−	9.80544i	0.562689	−	0.324869i	−0.191535	−	0.981486i	$-0.561347\pi$
$911$	16.9835	−	9.80544i	0.562689	−	0.324869i	0.754224	+	0.656617i	$0.228013\pi$
$912$	−2.43992	−	10.1927i	−0.0807937	−	0.337515i
$913$		−	39.6153i		−	1.31108i
$914$	12.5540	+	3.33709i	0.415250	+	0.110381i
$915$	23.7254	−	22.1291i	0.784337	−	0.731566i
$916$	20.2420	−	0.0805172i	0.668815	−	0.00266036i
$917$	−42.0911	+	16.8610i	−1.38997	+	0.556798i
$918$	19.6860	+	14.2332i	0.649735	+	0.469767i
$919$	−26.8847	−	15.5219i	−0.886843	−	0.512019i	−0.0139343	−	0.999903i	$-0.504436\pi$
$919$	−26.8847	−	15.5219i	−0.886843	−	0.512019i	−0.872908	+	0.487884i	$0.837769\pi$
$920$	18.0014	−	4.93877i	0.593489	−	0.162826i
$921$	−11.2008	−	48.4919i	−0.369078	−	1.59786i
$922$	31.2391	−	8.43711i	1.02880	−	0.277861i
$923$	−5.18757	+	8.98514i	−0.170751	+	0.295749i
$924$	−14.2798	−	20.3450i	−0.469770	−	0.669302i
$925$	10.0684	+	17.4390i	0.331047	+	0.573390i
$926$	10.3708	+	10.3297i	0.340806	+	0.339453i
$927$	3.96655	+	2.67422i	0.130279	+	0.0878329i
$928$	−29.0441	+	29.6276i	−0.953421	+	0.972574i
$929$		−	8.72104i		−	0.286128i	−0.989713	−	0.143064i	$-0.954305\pi$
$929$		−	8.72104i		−	0.286128i	0.989713	−	0.143064i	$-0.0456955\pi$
$930$	−12.0750	−	22.5953i	−0.395954	−	0.740928i
$931$	7.66079	−	7.31066i	0.251072	−	0.239597i
$932$	23.3328	−	13.5952i	0.764291	−	0.445326i
$933$	3.99280	+	17.2862i	0.130718	+	0.565923i
$934$	4.10585	−	4.12222i	0.134348	−	0.134883i
$935$	12.8591	−	7.42421i	0.420538	−	0.242798i
$936$	27.5618	+	31.3131i	0.900887	+	1.02350i
$937$			15.0809i			0.492672i	0.969185	+	0.246336i	$0.0792266\pi$
$937$			15.0809i			0.492672i	−0.969185	+	0.246336i	$0.920773\pi$
$938$	−14.5729	−	6.20261i	−0.475822	−	0.202522i
$939$	0.181290	−	0.0418748i	0.00591617	−	0.00136653i
$940$	6.46872	−	0.0257308i	0.210986	−	0.000839246i
$941$			52.4732i			1.71058i	0.518151	+	0.855289i	$0.326620\pi$
$941$			52.4732i			1.71058i	−0.518151	+	0.855289i	$0.673380\pi$
$942$	−36.9990	−	1.21434i	−1.20549	−	0.0395655i
$943$	4.04704			0.131790
$944$	13.1904	+	22.4324i	0.429311	+	0.730112i
$945$	−11.0911	+	19.8849i	−0.360792	+	0.646855i
$946$	−24.3533	−	6.47357i	−0.791795	−	0.210474i
$947$			44.4680i			1.44501i	0.691363	+	0.722507i	$0.257010\pi$
$947$			44.4680i			1.44501i	−0.691363	+	0.722507i	$0.742990\pi$
$948$	−50.4447	−	15.1974i	−1.63837	−	0.493588i
$949$	25.9068			0.840971
$950$	−1.25901	−	4.66159i	−0.0408478	−	0.151242i
$951$	5.58778	+	24.1913i	0.181196	+	0.784458i
$952$	−9.59760	+	22.8006i	−0.311060	+	0.738971i
$953$	13.0081			0.421374			0.210687	−	0.977554i	$-0.432430\pi$
$953$	13.0081			0.421374			0.210687	+	0.977554i	$0.432430\pi$
$954$	−29.0679	−	33.2902i	−0.941107	−	1.07781i
$955$	0.617905	+	1.07024i	0.0199949	+	0.0346322i
$956$	−25.1623	−	43.1848i	−0.813808	−	1.39670i
$957$	33.5683	−	7.75369i	1.08511	−	0.250641i
$958$	−8.70061	+	8.73529i	−0.281104	+	0.282224i
$959$	−0.311696	−	0.245015i	−0.0100652	−	0.00791194i
$960$	−16.5940	+	15.8520i	−0.535570	+	0.511622i
$961$	8.88091			0.286481
$962$	−59.8835	+	16.1735i	−1.93072	+	0.521453i
$963$	16.4399	+	1.14600i	0.529768	+	0.0369294i
$964$	−10.5133	−	18.0434i	−0.338610	−	0.581139i
$965$	7.56128	−	4.36551i	0.243406	−	0.140531i
$966$	24.2749	−	8.81152i	0.781033	−	0.283506i
$967$	−24.2347	−	13.9919i	−0.779335	−	0.449949i	0.0568598	−	0.998382i	$-0.481891\pi$
$967$	−24.2347	−	13.9919i	−0.779335	−	0.449949i	−0.836194	+	0.548433i	$0.815225\pi$
$968$	2.60877	−	9.97371i	0.0838490	−	0.320567i
$969$	8.43953	−	1.94938i	0.271117	−	0.0626232i
$970$	−8.02572	+	8.05771i	−0.257690	+	0.258717i
$971$	−4.21204	+	7.29547i	−0.135171	+	0.234123i	−0.925663	−	0.378350i	$-0.876492\pi$
$971$	−4.21204	+	7.29547i	−0.135171	+	0.234123i	0.790492	+	0.612473i	$0.209825\pi$
$972$	17.9976	+	25.4575i	0.577273	+	0.816551i
$973$	−25.2295	−	19.8322i	−0.808822	−	0.635791i
$974$	46.7426	−	12.6243i	1.49773	−	0.404510i
$975$	13.1088	+	14.0544i	0.419817	+	0.450100i
$976$	38.9975	−	22.9308i	1.24828	−	0.733997i
$977$	0.704020			0.0225236			0.0112618	−	0.999937i	$-0.496415\pi$
$977$	0.704020			0.0225236			0.0112618	+	0.999937i	$0.496415\pi$
$978$	−7.66417	+	12.3227i	−0.245073	+	0.394035i
$979$	−7.22910	−	12.5212i	−0.231043	−	0.400178i
$980$	−22.2759	−	6.43458i	−0.711578	−	0.205545i
$981$	33.8888	+	22.8476i	1.08199	+	0.729468i
$982$	−40.0328	−	39.8739i	−1.27750	−	1.27243i
$983$	15.3077	−	26.5137i	0.488240	−	0.845656i	−0.511669	−	0.859183i	$-0.670972\pi$
$983$	15.3077	−	26.5137i	0.488240	−	0.845656i	0.999909	+	0.0135267i	$0.00430580\pi$
$984$	−4.37880	+	2.36248i	−0.139591	+	0.0753131i
$985$	−18.6449	+	10.7647i	−0.594077	+	0.342990i
$986$	−24.2939	−	24.1975i	−0.773676	−	0.770605i
$987$	8.91748	−	0.754523i	0.283847	−	0.0240167i
$988$	14.8739	−	0.0591644i	0.473202	−	0.00188227i
$989$	13.0904	−	22.6733i	0.416252	−	0.720969i
$990$	18.6982	−	3.67739i	0.594269	−	0.116875i
$991$	−38.1803	+	22.0434i	−1.21284	+	0.700232i	−0.963376	−	0.268153i	$-0.913587\pi$
$991$	−38.1803	+	22.0434i	−1.21284	+	0.700232i	−0.249460	+	0.968385i	$0.580253\pi$
$992$	−9.58868	−	34.4129i	−0.304441	−	1.09261i
$993$	−23.5865	+	5.44807i	−0.748495	+	0.172889i
$994$	−7.26566	−	3.09246i	−0.230453	−	0.0980868i
$995$	−14.1292	−	8.15748i	−0.447925	−	0.258609i
$996$	−49.2571	+	11.5841i	−1.56077	+	0.367056i
$997$	6.37914	+	3.68300i	0.202030	+	0.116642i	0.597602	−	0.801793i	$-0.296120\pi$
$997$	6.37914	+	3.68300i	0.202030	+	0.116642i	−0.395572	+	0.918435i	$0.629454\pi$
$998$	−21.2736	+	5.74561i	−0.673403	+	0.181874i
$999$	−45.7858	+	7.26705i	−1.44860	+	0.229919i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bj.b.103.40	yes	84
3.2	odd	2		756.2.bj.b.523.3		84
4.3	odd	2	inner	252.2.bj.b.103.39	yes	84
7.3	odd	6		252.2.n.b.31.11	✓	84
9.2	odd	6		756.2.n.b.19.26		84
9.7	even	3		252.2.n.b.187.17	yes	84
12.11	even	2		756.2.bj.b.523.4		84
21.17	even	6		756.2.n.b.199.32		84
28.3	even	6		252.2.n.b.31.17	yes	84
36.7	odd	6		252.2.n.b.187.11	yes	84
36.11	even	6		756.2.n.b.19.32		84
63.38	even	6		756.2.bj.b.451.3		84
63.52	odd	6	inner	252.2.bj.b.115.40	yes	84
84.59	odd	6		756.2.n.b.199.26		84
252.115	even	6	inner	252.2.bj.b.115.39	yes	84
252.227	odd	6		756.2.bj.b.451.4		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.11	✓	84	7.3	odd	6
252.2.n.b.31.17	yes	84	28.3	even	6
252.2.n.b.187.11	yes	84	36.7	odd	6
252.2.n.b.187.17	yes	84	9.7	even	3
252.2.bj.b.103.39	yes	84	4.3	odd	2	inner
252.2.bj.b.103.40	yes	84	1.1	even	1	trivial
252.2.bj.b.115.39	yes	84	252.115	even	6	inner
252.2.bj.b.115.40	yes	84	63.52	odd	6	inner
756.2.n.b.19.26		84	9.2	odd	6
756.2.n.b.19.32		84	36.11	even	6
756.2.n.b.199.26		84	84.59	odd	6
756.2.n.b.199.32		84	21.17	even	6
756.2.bj.b.451.3		84	63.38	even	6
756.2.bj.b.451.4		84	252.227	odd	6
756.2.bj.b.523.3		84	3.2	odd	2
756.2.bj.b.523.4		84	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.36675 + 0.363308i) q^{2} +(0.389810 + 1.68762i) q^{3} +(1.73601 + 0.993103i) q^{4} +(1.43430 - 0.828095i) q^{5} +(-0.0803514 + 2.44817i) q^{6} +(0.375983 - 2.61890i) q^{7} +(2.01190 + 1.98803i) q^{8} +(-2.69610 + 1.31570i) q^{9} +O(q^{10})\)	\(q+(1.36675 + 0.363308i) q^{2} +(0.389810 + 1.68762i) q^{3} +(1.73601 + 0.993103i) q^{4} +(1.43430 - 0.828095i) q^{5} +(-0.0803514 + 2.44817i) q^{6} +(0.375983 - 2.61890i) q^{7} +(2.01190 + 1.98803i) q^{8} +(-2.69610 + 1.31570i) q^{9} +(2.26119 - 0.610706i) q^{10} +(-2.34869 - 1.35602i) q^{11} +(-0.999260 + 3.31685i) q^{12} +(-4.25755 - 2.45810i) q^{13} +(1.46534 - 3.44279i) q^{14} +(1.95661 + 2.09775i) q^{15} +(2.02749 + 3.44808i) q^{16} +(-2.86290 + 1.65289i) q^{17} +(-4.16290 + 0.818719i) q^{18} +(-0.756379 + 1.31009i) q^{19} +(3.31235 - 0.0131756i) q^{20} +(4.56626 - 0.386359i) q^{21} +(-2.71742 - 2.70664i) q^{22} +(3.45097 - 1.99242i) q^{23} +(-2.57078 + 4.17026i) q^{24} +(-1.12852 + 1.95465i) q^{25} +(-4.92596 - 4.90641i) q^{26} +(-3.27136 - 4.03710i) q^{27} +(3.25355 - 4.17306i) q^{28} +(3.66717 + 6.35172i) q^{29} +(1.91207 + 3.57796i) q^{30} -6.31513 q^{31} +(1.51836 + 5.44927i) q^{32} +(1.37289 - 4.49228i) q^{33} +(-4.51337 + 1.21898i) q^{34} +(-1.62942 - 4.06764i) q^{35} +(-5.98709 - 0.393428i) q^{36} +(4.46089 - 7.72649i) q^{37} +(-1.50975 + 1.51576i) q^{38} +(2.48869 - 8.14330i) q^{39} +(4.53195 + 1.18540i) q^{40} +(0.879545 + 0.507805i) q^{41} +(6.38131 + 1.13090i) q^{42} +(5.68989 - 3.28506i) q^{43} +(-2.73070 - 4.68656i) q^{44} +(-2.77749 + 4.11973i) q^{45} +(5.44047 - 1.46937i) q^{46} +1.95291 q^{47} +(-5.02870 + 4.76573i) q^{48} +(-6.71727 - 1.96932i) q^{49} +(-2.25254 + 2.26152i) q^{50} +(-3.90543 - 4.18716i) q^{51} +(-4.95003 - 8.49548i) q^{52} +(5.20840 + 9.02122i) q^{53} +(-3.00442 - 6.70623i) q^{54} -4.49164 q^{55} +(5.96289 - 4.52149i) q^{56} +(-2.50577 - 0.765793i) q^{57} +(2.70447 + 10.0135i) q^{58} +6.50576 q^{59} +(1.31342 + 5.58484i) q^{60} -11.3099i q^{61} +(-8.63121 - 2.29434i) q^{62} +(2.43200 + 7.55549i) q^{63} +(0.0954627 + 7.99943i) q^{64} -8.14215 q^{65} +(3.50848 - 5.64104i) q^{66} -4.23288i q^{67} +(-6.61152 + 0.0262988i) q^{68} +(4.70766 + 5.04725i) q^{69} +(-0.749211 - 6.15144i) q^{70} -2.11040i q^{71} +(-8.03992 - 2.71287i) q^{72} +(-4.56368 + 2.63484i) q^{73} +(8.90403 - 8.93951i) q^{74} +(-3.73861 - 1.14256i) q^{75} +(-2.61414 + 1.52317i) q^{76} +(-4.43434 + 5.64115i) q^{77} +(6.35994 - 10.2257i) q^{78} +15.2086i q^{79} +(5.76338 + 3.26663i) q^{80} +(5.53787 - 7.09450i) q^{81} +(1.01763 + 1.01359i) q^{82} +(7.30362 + 12.6502i) q^{83} +(8.31079 + 3.86404i) q^{84} +(-2.73751 + 4.74150i) q^{85} +(8.97016 - 2.42268i) q^{86} +(-9.28977 + 8.66473i) q^{87} +(-2.02952 - 7.39744i) q^{88} +(4.61689 + 2.66556i) q^{89} +(-5.29287 + 4.62156i) q^{90} +(-8.03827 + 10.2259i) q^{91} +(7.96961 - 0.0317009i) q^{92} +(-2.46170 - 10.6575i) q^{93} +(2.66914 + 0.709507i) q^{94} +2.50541i q^{95} +(-8.60441 + 4.68660i) q^{96} +(-4.20504 + 2.42778i) q^{97} +(-8.46537 - 5.13201i) q^{98} +(8.11641 + 0.565784i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

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