LMFDB - Embedded newform 252.2.n.b.31.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (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			31.17
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.368742 + 1.36529i) q^{2} +(1.26661 - 1.18139i) q^{3} +(-1.72806 - 1.00688i) q^{4} -1.65619i q^{5} +(1.14590 + 2.16493i) q^{6} +(-2.45603 - 0.983840i) q^{7} +(2.01190 - 1.98803i) q^{8} +(0.208620 - 2.99274i) q^{9} +O(q^{10})$	\(q+(-0.368742 + 1.36529i) q^{2} +(1.26661 - 1.18139i) q^{3} +(-1.72806 - 1.00688i) q^{4} -1.65619i q^{5} +(1.14590 + 2.16493i) q^{6} +(-2.45603 - 0.983840i) q^{7} +(2.01190 - 1.98803i) q^{8} +(0.208620 - 2.99274i) q^{9} +(2.26119 + 0.610706i) q^{10} -2.71203i q^{11} +(-3.37831 + 0.766188i) q^{12} +(4.25755 + 2.45810i) q^{13} +(2.24887 - 2.99042i) q^{14} +(-1.95661 - 2.09775i) q^{15} +(1.97238 + 3.47990i) q^{16} +(-2.86290 - 1.65289i) q^{17} +(4.00904 + 1.38837i) q^{18} +(-0.756379 - 1.31009i) q^{19} +(-1.66759 + 2.86199i) q^{20} +(-4.27314 + 1.65539i) q^{21} +(3.70273 + 1.00004i) q^{22} -3.98484i q^{23} +(0.199650 - 4.89491i) q^{24} +2.25704 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} +(3.58553 - 1.89782i) q^{30} +(3.15757 + 5.46907i) q^{31} +(-5.47839 + 1.40969i) q^{32} +(-3.20398 - 3.43510i) q^{33} +(3.31236 - 3.29921i) q^{34} +(-1.62942 + 4.06764i) q^{35} +(-3.37384 + 4.96157i) q^{36} +(4.46089 + 7.72649i) q^{37} +(2.06756 - 0.549597i) q^{38} +(8.29665 - 1.91638i) q^{39} +(-3.29256 - 3.33208i) q^{40} +(-0.879545 - 0.507805i) q^{41} +(-0.684409 - 6.44450i) q^{42} +(-5.68989 + 3.28506i) q^{43} +(-2.73070 + 4.68656i) q^{44} +(-4.95654 - 0.345514i) q^{45} +(5.44047 + 1.46937i) q^{46} +(-0.976454 + 1.69127i) q^{47} +(6.60938 + 2.07754i) q^{48} +(5.06412 + 4.83267i) q^{49} +(-0.832263 + 3.08152i) q^{50} +(-5.57890 + 1.28863i) q^{51} +(-4.88228 - 8.53459i) q^{52} +(5.20840 - 9.02122i) q^{53} +(6.71812 - 2.97772i) q^{54} -4.49164 q^{55} +(-6.89717 + 2.90327i) q^{56} +(-2.50577 - 0.765793i) q^{57} +(-10.0242 + 2.66462i) q^{58} +(-3.25288 - 5.63415i) q^{59} +(1.26895 + 5.59512i) q^{60} +(-9.79467 - 5.65496i) q^{61} +(-8.63121 + 2.29434i) q^{62} +(-3.45675 + 7.14499i) q^{63} +(0.0954627 - 7.99943i) q^{64} +(4.07107 - 7.05131i) q^{65} +(5.87136 - 3.10771i) q^{66} +(3.66578 - 2.11644i) q^{67} +(3.28299 + 5.73890i) q^{68} +(-4.70766 - 5.04725i) q^{69} +(-4.95270 - 3.72455i) q^{70} +2.11040i q^{71} +(-5.52993 - 6.43582i) q^{72} +(-4.56368 - 2.63484i) q^{73} +(-12.1939 + 3.24136i) q^{74} +(2.85879 - 2.66645i) q^{75} +(-0.0120346 + 3.02549i) q^{76} +(-2.66821 + 6.66082i) q^{77} +(-0.442894 + 12.0340i) q^{78} +(13.1711 + 7.60431i) q^{79} +(5.76338 - 3.26663i) q^{80} +(-8.91296 - 1.24869i) q^{81} +(1.01763 - 1.01359i) q^{82} +(7.30362 + 12.6502i) q^{83} +(9.05101 + 1.44194i) q^{84} +(-2.73751 + 4.74150i) q^{85} +(-2.38698 - 8.97972i) q^{86} +(12.1488 + 3.71281i) q^{87} +(-5.39161 - 5.45633i) q^{88} +(4.61689 - 2.66556i) q^{89} +(2.29941 - 6.63973i) q^{90} +(-8.03827 - 10.2259i) q^{91} +(-4.01226 + 6.88603i) q^{92} +(10.4605 + 3.19687i) q^{93} +(-1.94902 - 1.95679i) q^{94} +(-2.16975 + 1.25271i) q^{95} +(-5.27360 + 8.25767i) 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 - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−0.368742	+	1.36529i	−0.260740	+	0.965409i
$2$	−0.368742	+	1.36529i	−0.260740	+	0.965409i
$3$	1.26661	−	1.18139i	0.731280	−	0.682078i
$3$	1.26661	−	1.18139i	0.731280	−	0.682078i
$4$	−1.72806	−	1.00688i	−0.864030	−	0.503441i
$5$		−	1.65619i		−	0.740670i	−0.928898	−	0.370335i	$-0.879243\pi$
$5$		−	1.65619i		−	0.740670i	0.928898	−	0.370335i	$-0.120757\pi$
$6$	1.14590	+	2.16493i	0.467810	+	0.883829i
$7$	−2.45603	−	0.983840i	−0.928290	−	0.371856i
$7$	−2.45603	−	0.983840i	−0.928290	−	0.371856i
$8$	2.01190	−	1.98803i	0.711313	−	0.702875i
$9$	0.208620	−	2.99274i	0.0695400	−	0.997579i
$10$	2.26119	+	0.610706i	0.715050	+	0.193122i
$11$		−	2.71203i		−	0.817709i	−0.912600	−	0.408855i	$-0.865928\pi$
$11$		−	2.71203i		−	0.817709i	0.912600	−	0.408855i	$-0.134072\pi$
$12$	−3.37831	+	0.766188i	−0.975233	+	0.221179i
$13$	4.25755	+	2.45810i	1.18083	+	0.681753i	0.956207	−	0.292692i	$-0.0945510\pi$
$13$	4.25755	+	2.45810i	1.18083	+	0.681753i	0.224625	+	0.974445i	$0.427884\pi$
$14$	2.24887	−	2.99042i	0.601036	−	0.799222i
$15$	−1.95661	−	2.09775i	−0.505195	−	0.541637i
$16$	1.97238	+	3.47990i	0.493095	+	0.869976i
$17$	−2.86290	−	1.65289i	−0.694354	−	0.400886i	0.110887	−	0.993833i	$-0.464631\pi$
$17$	−2.86290	−	1.65289i	−0.694354	−	0.400886i	−0.805241	+	0.592947i	$0.797964\pi$
$18$	4.00904	+	1.38837i	0.944940	+	0.327243i
$19$	−0.756379	−	1.31009i	−0.173525	−	0.300555i	0.766125	−	0.642692i	$-0.222182\pi$
$19$	−0.756379	−	1.31009i	−0.173525	−	0.300555i	−0.939650	+	0.342137i	$0.888849\pi$
$20$	−1.66759	+	2.86199i	−0.372884	+	0.639961i
$21$	−4.27314	+	1.65539i	−0.932475	+	0.361235i
$22$	3.70273	+	1.00004i	0.789424	+	0.213209i
$23$		−	3.98484i		−	0.830896i	−0.909617	−	0.415448i	$-0.863625\pi$
$23$		−	3.98484i		−	0.830896i	0.909617	−	0.415448i	$-0.136375\pi$
$24$	0.199650	−	4.89491i	0.0407533	−	0.999169i
$25$	2.25704			0.451407
$26$	−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	$0.594889\pi$
$30$	3.58553	−	1.89782i	0.654626	−	0.346493i
$31$	3.15757	+	5.46907i	0.567116	+	0.982273i	0.996849	+	0.0793176i	$0.0252741\pi$
$31$	3.15757	+	5.46907i	0.567116	+	0.982273i	−0.429734	+	0.902956i	$0.641393\pi$
$32$	−5.47839	+	1.40969i	−0.968452	+	0.249201i
$33$	−3.20398	−	3.43510i	−0.557741	−	0.597974i
$34$	3.31236	−	3.29921i	0.568064	−	0.565809i
$35$	−1.62942	+	4.06764i	−0.275423	+	0.687557i
$36$	−3.37384	+	4.96157i	−0.562307	+	0.826929i
$37$	4.46089	+	7.72649i	0.733366	+	1.27023i	0.955436	+	0.295197i	$0.0953853\pi$
$37$	4.46089	+	7.72649i	0.733366	+	1.27023i	−0.222070	+	0.975031i	$0.571281\pi$
$38$	2.06756	−	0.549597i	0.335403	−	0.0891564i
$39$	8.29665	−	1.91638i	1.32853	−	0.306866i
$40$	−3.29256	−	3.33208i	−0.520599	−	0.526849i
$41$	−0.879545	−	0.507805i	−0.137362	−	0.0793059i	0.429744	−	0.902951i	$-0.358604\pi$
$41$	−0.879545	−	0.507805i	−0.137362	−	0.0793059i	−0.567106	+	0.823645i	$0.691937\pi$
$42$	−0.684409	−	6.44450i	−0.105607	−	0.994408i
$43$	−5.68989	+	3.28506i	−0.867701	+	0.500967i	−0.866584	−	0.499032i	$-0.833689\pi$
$43$	−5.68989	+	3.28506i	−0.867701	+	0.500967i	−0.00111731	+	0.999999i	$0.500356\pi$
$44$	−2.73070	+	4.68656i	−0.411668	+	0.706525i
$45$	−4.95654	−	0.345514i	−0.738877	−	0.0515062i
$46$	5.44047	+	1.46937i	0.802154	+	0.216647i
$47$	−0.976454	+	1.69127i	−0.142430	+	0.246697i	−0.928411	−	0.371554i	$-0.878825\pi$
$47$	−0.976454	+	1.69127i	−0.142430	+	0.246697i	0.785981	+	0.618251i	$0.212158\pi$
$48$	6.60938	+	2.07754i	0.953981	+	0.299867i
$49$	5.06412	+	4.83267i	0.723446	+	0.690381i
$50$	−0.832263	+	3.08152i	−0.117700	+	0.435793i
$51$	−5.57890	+	1.28863i	−0.781202	+	0.180444i
$52$	−4.88228	−	8.53459i	−0.677051	−	1.18353i
$53$	5.20840	−	9.02122i	0.715429	−	1.23916i	−0.247365	−	0.968922i	$-0.579565\pi$
$53$	5.20840	−	9.02122i	0.715429	−	1.23916i	0.962794	−	0.270237i	$-0.0871020\pi$
$54$	6.71812	−	2.97772i	0.914221	−	0.405217i
$55$	−4.49164			−0.605653
$56$	−6.89717	+	2.90327i	−0.921674	+	0.387966i
$57$	−2.50577	−	0.765793i	−0.331897	−	0.101432i
$58$	−10.0242	+	2.66462i	−1.31624	+	0.349882i
$59$	−3.25288	−	5.63415i	−0.423489	−	0.733504i	0.572789	−	0.819703i	$-0.305861\pi$
$59$	−3.25288	−	5.63415i	−0.423489	−	0.733504i	−0.996278	+	0.0861987i	$0.972528\pi$
$60$	1.26895	+	5.59512i	0.163821	+	0.722326i
$61$	−9.79467	−	5.65496i	−1.25408	−	0.724043i	−0.282162	−	0.959367i	$-0.591052\pi$
$61$	−9.79467	−	5.65496i	−1.25408	−	0.724043i	−0.971917	+	0.235324i	$0.924385\pi$
$62$	−8.63121	+	2.29434i	−1.09617	+	0.291381i
$63$	−3.45675	+	7.14499i	−0.435509	+	0.900184i
$64$	0.0954627	−	7.99943i	0.0119328	−	0.999929i
$65$	4.07107	−	7.05131i	0.504955	−	0.874607i
$66$	5.87136	−	3.10771i	0.722715	−	0.382533i
$67$	3.66578	−	2.11644i	0.447846	−	0.258564i	−0.259074	−	0.965857i	$-0.583417\pi$
$67$	3.66578	−	2.11644i	0.447846	−	0.258564i	0.706920	+	0.707293i	$0.250084\pi$
$68$	3.28299	+	5.73890i	0.398120	+	0.695943i
$69$	−4.70766	−	5.04725i	−0.566735	−	0.607617i
$70$	−4.95270	−	3.72455i	−0.591960	−	0.445169i
$71$			2.11040i			0.250459i	0.992128	+	0.125229i	$0.0399666\pi$
$71$			2.11040i			0.250459i	−0.992128	+	0.125229i	$0.960033\pi$
$72$	−5.52993	−	6.43582i	−0.651709	−	0.758469i
$73$	−4.56368	−	2.63484i	−0.534139	−	0.308385i	0.208561	−	0.978009i	$-0.433122\pi$
$73$	−4.56368	−	2.63484i	−0.534139	−	0.308385i	−0.742700	+	0.669624i	$0.766455\pi$
$74$	−12.1939	+	3.24136i	−1.41751	+	0.376800i
$75$	2.85879	−	2.66645i	0.330105	−	0.307895i
$76$	−0.0120346	+	3.02549i	−0.00138046	+	0.347048i
$77$	−2.66821	+	6.66082i	−0.304070	+	0.759071i
$78$	−0.442894	+	12.0340i	−0.0501479	+	1.36258i
$79$	13.1711	+	7.60431i	1.48186	+	0.855552i	0.999788	−	0.0205801i	$-0.00655132\pi$
$79$	13.1711	+	7.60431i	1.48186	+	0.855552i	0.482071	+	0.876132i	$0.339885\pi$
$80$	5.76338	−	3.26663i	0.644365	−	0.365221i
$81$	−8.91296	−	1.24869i	−0.990328	−	0.138743i
$82$	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	$0.537275\pi$
$84$	9.05101	+	1.44194i	0.987546	+	0.157328i
$85$	−2.73751	+	4.74150i	−0.296924	+	0.514288i
$86$	−2.38698	−	8.97972i	−0.257394	−	0.968308i
$87$	12.1488	+	3.71281i	1.30248	+	0.398055i
$88$	−5.39161	−	5.45633i	−0.574747	−	0.581647i
$89$	4.61689	−	2.66556i	0.489389	−	0.282549i	−0.234932	−	0.972012i	$-0.575487\pi$
$89$	4.61689	−	2.66556i	0.489389	−	0.282549i	0.724321	+	0.689463i	$0.242153\pi$
$90$	2.29941	−	6.63973i	0.242379	−	0.699889i
$91$	−8.03827	−	10.2259i	−0.842640	−	1.07196i
$92$	−4.01226	+	6.88603i	−0.418307	+	0.717918i
$93$	10.4605	+	3.19687i	1.08471	+	0.331499i
$94$	−1.94902	−	1.95679i	−0.201026	−	0.201827i
$95$	−2.16975	+	1.25271i	−0.222612	+	0.128525i
$96$	−5.27360	+	8.25767i	−0.538235	+	0.842795i
$97$	4.20504	−	2.42778i	0.426957	−	0.246504i	−0.271092	−	0.962553i	$-0.587385\pi$
$97$	4.20504	−	2.42778i	0.426957	−	0.246504i	0.698049	+	0.716050i	$0.254052\pi$
$98$	−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
$101$			2.82019i			0.280620i	0.990108	+	0.140310i	$0.0448099\pi$
$101$			2.82019i			0.280620i	−0.990108	+	0.140310i	$0.955190\pi$
$102$	0.297815	−	8.09201i	0.0294880	−	0.801229i
$103$	1.59461			0.157121			0.0785607	−	0.996909i	$-0.474968\pi$
$103$	1.59461			0.157121			0.0785607	+	0.996909i	$0.474968\pi$
$104$	13.4525	−	3.51870i	1.31913	−	0.345037i
$105$	2.74163	+	7.07712i	0.267556	+	0.690657i
$106$	10.3961	+	10.4375i	1.00976	+	1.01378i
$107$	−4.75730	+	2.74663i	−0.459906	+	0.265527i	−0.712005	−	0.702175i	$-0.752213\pi$
$107$	−4.75730	+	2.74663i	−0.459906	+	0.265527i	0.252099	+	0.967701i	$0.418879\pi$
$108$	1.58822	+	10.2702i	0.152826	+	0.988253i
$109$	−6.81189	+	11.7985i	−0.652461	+	1.13010i	0.330063	+	0.943959i	$0.392930\pi$
$109$	−6.81189	+	11.7985i	−0.652461	+	1.13010i	−0.982524	+	0.186136i	$0.940403\pi$
$110$	1.65626	−	6.13242i	0.157918	−	0.584703i
$111$	14.7783	+	4.51641i	1.40269	+	0.428679i
$112$	−1.42055	−	10.4872i	−0.134229	−	0.990950i
$113$	−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	$0.174488\pi$
$114$	1.96951	−	3.13873i	0.184462	−	0.293969i
$115$	−6.59964			−0.615420
$116$	0.0583475	−	14.6686i	0.00541743	−	1.36194i
$117$	8.24465	−	12.2289i	0.762218	−	1.13056i
$118$	8.89175	−	2.36359i	0.818552	−	0.217586i
$119$	5.40516	+	6.87618i	0.495490	+	0.630338i
$120$	−8.10690	−	0.330658i	−0.740055	−	0.0301848i
$121$	3.64487			0.331352
$122$	11.3324	−	11.2874i	1.02599	−	1.02191i
$123$	−1.71396	+	0.395895i	−0.154543	+	0.0356966i
$124$	0.0502394	−	12.6302i	0.00451163	−	1.13422i
$125$		−	12.0190i		−	1.07501i
$126$	−8.48037	−	7.35414i	−0.755491	−	0.655159i
$127$		−	8.34549i		−	0.740543i	−0.928924	−	0.370271i	$-0.879265\pi$
$127$		−	8.34549i		−	0.740543i	0.928924	−	0.370271i	$-0.120735\pi$
$128$	10.8864	+	3.08006i	0.962229	+	0.272241i
$129$	−3.32595	+	10.8829i	−0.292833	+	0.958187i
$130$	8.12594	+	8.15833i	0.712692	+	0.715533i
$131$	17.1379			1.49735			0.748673	−	0.662939i	$-0.230691\pi$
$131$	17.1379			1.49735			0.748673	+	0.662939i	$0.230691\pi$
$132$	2.07793	+	9.16208i	0.180860	+	0.797457i
$133$	0.568771	+	3.96176i	0.0493187	+	0.343528i
$134$	1.53784	+	5.78529i	0.132849	+	0.499773i
$135$	−6.68621	+	5.41799i	−0.575457	+	0.466306i
$136$	−9.04586	+	2.36607i	−0.775676	+	0.202889i
$137$	−0.149851			−0.0128026			−0.00640130	−	0.999980i	$-0.502038\pi$
$137$	−0.149851			−0.0128026			−0.00640130	+	0.999980i	$0.502038\pi$
$138$	8.62689	−	4.56621i	0.734369	−	0.388702i
$139$	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	$-0.00531816\pi$
$140$	6.91138	−	5.38849i	0.584118	−	0.455411i
$141$	0.761263	+	3.29576i	0.0641099	+	0.277553i
$142$	−2.88132	−	0.778193i	−0.241795	−	0.0653045i
$143$	6.66644	−	11.5466i	0.557476	−	0.965577i
$144$	10.8259	−	5.17683i	0.902159	−	0.431403i
$145$	10.5197	−	6.07352i	0.873609	−	0.504379i
$146$	5.28016	−	5.25920i	0.436989	−	0.435254i
$147$	12.1236	+	0.138408i	0.999935	+	0.0114157i
$148$	0.0709763	−	17.8434i	0.00583422	−	1.46672i
$149$	16.5524			1.35602			0.678012	−	0.735051i	$-0.262842\pi$
$149$	16.5524			1.35602			0.678012	+	0.735051i	$0.262842\pi$
$150$	2.58633	+	4.88632i	0.211173	+	0.398967i
$151$			16.9979i			1.38327i	0.722248	+	0.691634i	$0.243109\pi$
$151$			16.9979i			1.38327i	−0.722248	+	0.691634i	$0.756891\pi$
$152$	−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
$156$	−16.2667	−	5.04212i	−1.30238	−	0.403693i
$157$	−13.0882	+	7.55646i	−1.04455	+	0.603071i	−0.921119	−	0.389282i	$-0.872723\pi$
$157$	−13.0882	+	7.55646i	−1.04455	+	0.603071i	−0.123431	+	0.992353i	$0.539390\pi$
$158$	−15.2388	+	15.1783i	−1.21234	+	1.20752i
$159$	−4.06057	−	17.5796i	−0.322024	−	1.39415i
$160$	2.33472	+	9.07325i	0.184576	+	0.717304i
$161$	−3.92044	+	9.78686i	−0.308974	+	0.771312i
$162$	4.99141	−	11.7084i	0.392162	−	0.919896i
$163$	5.13064	−	2.96218i	0.401863	−	0.232015i	−0.285425	−	0.958401i	$-0.592135\pi$
$163$	5.13064	−	2.96218i	0.401863	−	0.232015i	0.687287	+	0.726386i	$0.258801\pi$
$164$	1.00861	+	1.76311i	0.0787589	+	0.137676i
$165$	−5.68918	+	5.30640i	−0.442902	+	0.413102i
$166$	−19.9644	+	5.30692i	−1.54954	+	0.411897i
$167$	−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	$0.946061\pi$
$168$	−5.30615	+	11.8256i	−0.409378	+	0.912365i
$169$	5.58448	+	9.67261i	0.429576	+	0.744047i
$170$	−5.46411	−	5.48589i	−0.419078	−	0.420748i
$171$	−4.07854	+	1.99033i	−0.311894	+	0.152205i
$172$	13.1401	+	0.0522679i	1.00193	+	0.00398539i
$173$	−14.0508	−	8.11226i	−1.06827	−	0.616764i	−0.140559	−	0.990072i	$-0.544890\pi$
$173$	−14.0508	−	8.11226i	−1.06827	−	0.616764i	−0.927707	+	0.373309i	$0.878223\pi$
$174$	−9.54883	+	15.2176i	−0.723895	+	1.15364i
$175$	−5.54334	−	2.22056i	−0.419037	−	0.167859i
$176$	9.43762	−	5.34916i	0.711387	−	0.403208i
$177$	−10.7763	−	3.29336i	−0.809996	−	0.247544i
$178$	1.93684	+	7.28632i	0.145172	+	0.546133i
$179$	−15.1520	−	8.74799i	−1.13251	−	0.653855i	−0.187945	−	0.982180i	$-0.560183\pi$
$179$	−15.1520	−	8.74799i	−1.13251	−	0.653855i	−0.944565	+	0.328324i	$0.893516\pi$
$180$	8.21730	+	5.58772i	0.612482	+	0.416484i
$181$		−	9.17571i		−	0.682025i	−0.940059	−	0.341013i	$-0.889230\pi$
$181$		−	9.17571i		−	0.682025i	0.940059	−	0.341013i	$-0.110770\pi$
$182$	16.9254	−	7.20390i	1.25459	−	0.533989i
$183$	−19.0868	+	4.40871i	−1.41094	+	0.325902i
$184$	−7.92198	−	8.01708i	−0.584016	−	0.591027i
$185$	12.7965	−	7.38809i	0.940820	−	0.543183i
$186$	−8.22190	+	13.1029i	−0.602859	+	0.960751i
$187$	−4.48270	+	7.76427i	−0.327808	+	0.567780i
$188$	3.39028	−	1.93944i	0.247261	−	0.141448i
$189$	4.06268	+	13.1337i	0.295516	+	0.955338i
$190$	−0.910237	−	3.42428i	−0.0660355	−	0.248423i
$191$	0.646208	+	0.373088i	0.0467579	+	0.0269957i	0.523197	−	0.852212i	$-0.324739\pi$
$191$	0.646208	+	0.373088i	0.0467579	+	0.0269957i	−0.476439	+	0.879208i	$0.658073\pi$
$192$	−9.32956	−	10.2450i	−0.673303	−	0.739367i
$193$	−2.63588	−	4.56547i	−0.189734	−	0.328630i	0.755427	−	0.655233i	$-0.227429\pi$
$193$	−2.63588	−	4.56547i	−0.189734	−	0.328630i	−0.945162	+	0.326603i	$0.894096\pi$
$194$	1.76406	+	6.63634i	0.126652	+	0.476462i
$195$	−3.17389	−	13.7408i	−0.227287	−	0.984001i
$196$	−3.88517	−	13.4501i	−0.277512	−	0.960722i
$197$	−12.9993			−0.926162			−0.463081	−	0.886316i	$-0.653256\pi$
$197$	−12.9993			−0.926162			−0.463081	+	0.886316i	$0.653256\pi$
$198$	3.76532	−	10.8727i	0.267590	−	0.772686i
$199$	−4.92545	+	8.53113i	−0.349156	+	0.604756i	−0.986100	−	0.166154i	$-0.946865\pi$
$199$	−4.92545	+	8.53113i	−0.349156	+	0.604756i	0.636944	+	0.770910i	$0.280198\pi$
$200$	4.54093	−	4.48706i	0.321092	−	0.317283i
$201$	2.14278	−	7.01144i	0.151140	−	0.494549i
$202$	−3.85040	−	1.03992i	−0.270913	−	0.0731687i
$203$	−2.75758	−	19.2079i	−0.193544	−	1.34813i
$204$	10.9382	+	3.39047i	0.765825	+	0.237380i
$205$	−0.841022	+	1.45669i	−0.0587395	+	0.101740i
$206$	−0.587998	+	2.17711i	−0.0409678	+	0.151686i
$207$	−11.9256	−	0.831316i	−0.828884	−	0.0577805i
$208$	−0.156440	+	19.6642i	−0.0108471	+	1.36346i
$209$	−3.55300	+	2.05133i	−0.245766	+	0.141893i
$210$	−10.6733	+	1.13351i	−0.736529	+	0.0782196i
$211$	20.4282	+	11.7942i	1.40633	+	0.811946i	0.995032	−	0.0995535i	$-0.0317414\pi$
$211$	20.4282	+	11.7942i	1.40633	+	0.811946i	0.411300	+	0.911500i	$0.365075\pi$
$212$	−18.0837	+	10.3450i	−1.24200	+	0.710494i
$213$	2.49321	+	2.67306i	0.170832	+	0.183155i
$214$	−1.99574	−	7.50792i	−0.136426	−	0.513231i
$215$	5.44069	+	9.42354i	0.371052	+	0.642680i
$216$	−14.6075	−	1.61868i	−0.993916	−	0.110137i
$217$	−2.37438	−	16.5387i	−0.161183	−	1.12272i
$218$	−13.5967	−	13.6508i	−0.920882	−	0.924552i
$219$	−8.89321	+	2.05418i	−0.600947	+	0.138808i
$220$	7.76183	+	4.52255i	0.523302	+	0.304910i
$221$	−8.12595	−	14.0746i	−0.546610	−	0.946757i
$222$	−11.6156	+	18.5113i	−0.779587	+	1.24240i
$223$	−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
$227$	−27.6838			−1.83744			−0.918720	−	0.394909i	$-0.870776\pi$
$227$	−27.6838			−1.83744			−0.918720	+	0.394909i	$0.870776\pi$
$228$	3.55905	+	3.84635i	0.235704	+	0.254731i
$229$		−	10.1211i		−	0.668820i	−0.942428	−	0.334410i	$-0.891463\pi$
$229$		−	10.1211i		−	0.668820i	0.942428	−	0.334410i	$-0.108537\pi$
$230$	2.43356	−	9.01046i	0.160464	−	0.594132i
$231$	4.48947	+	11.5889i	0.295385	+	0.762493i
$232$	20.0054	+	5.48856i	1.31342	+	0.360342i
$233$	6.75115	+	11.6933i	0.442283	+	0.766056i	0.997858	−	0.0654097i	$-0.0208354\pi$
$233$	6.75115	+	11.6933i	0.442283	+	0.766056i	−0.555576	+	0.831466i	$0.687502\pi$
$234$	13.6559	+	15.7657i	0.892716	+	1.03064i
$235$	2.80106	+	1.61719i	0.182721	+	0.105494i
$236$	−0.0517558	+	13.0114i	−0.00336902	+	0.846971i
$237$	25.6663	−	5.92847i	1.66721	−	0.385096i
$238$	−11.3811	+	4.84411i	−0.737728	+	0.313997i
$239$	21.6423	+	12.4952i	1.39992	+	0.808246i	0.994384	−	0.105831i	$-0.0337503\pi$
$239$	21.6423	+	12.4952i	1.39992	+	0.808246i	0.405540	+	0.914077i	$0.367084\pi$
$240$	3.44080	−	10.9464i	0.222102	−	0.706586i
$241$		−	10.4414i		−	0.672592i	−0.941756	−	0.336296i	$-0.890826\pi$
$241$		−	10.4414i		−	0.672592i	0.941756	−	0.336296i	$-0.109174\pi$
$242$	−1.34401	+	4.97632i	−0.0863966	+	0.319890i
$243$	−12.7645	+	8.94810i	−0.818841	+	0.574021i
$244$	11.2319	+	19.6342i	0.719049	+	1.25695i
$245$	8.00382	−	8.38714i	0.511345	−	0.535835i
$246$	0.0914952	−	2.48604i	0.00583352	−	0.158504i
$247$		−	7.43701i		−	0.473206i
$248$	17.2254	+	4.72586i	1.09381	+	0.300092i
$249$	24.1958	+	7.39452i	1.53334	+	0.468608i
$250$	16.4095	+	4.43191i	1.03783	+	0.280299i
$251$	−4.59012			−0.289726			−0.144863	−	0.989452i	$-0.546274\pi$
$251$	−4.59012			−0.289726			−0.144863	+	0.989452i	$0.546274\pi$
$252$	13.1676	−	8.86643i	0.829483	−	0.558533i
$253$	−10.8070			−0.679431
$254$	11.3941	+	3.07733i	0.714927	+	0.193089i
$255$	2.13421	+	9.23972i	0.133650	+	0.578613i
$256$	−8.21944	+	13.7274i	−0.513715	+	0.857961i
$257$			26.2056i			1.63466i	0.576169	+	0.817331i	$0.304547\pi$
$257$			26.2056i			1.63466i	−0.576169	+	0.817331i	$0.695453\pi$
$258$	−13.6320	−	8.55388i	−0.848689	−	0.532541i
$259$	−3.35444	−	23.3653i	−0.208435	−	1.45185i
$260$	−14.1349	+	8.08599i	−0.876609	+	0.501472i
$261$	19.7741	−	9.64977i	1.22398	−	0.597306i
$262$	−6.31946	+	23.3983i	−0.390418	+	1.44555i
$263$		−	5.93356i		−	0.365879i	−0.983124	−	0.182939i	$-0.941439\pi$
$263$		−	5.93356i		−	0.365879i	0.983124	−	0.182939i	$-0.0585612\pi$
$264$	−13.2752	−	0.541457i	−0.817030	−	0.0333244i
$265$	−14.9408	−	8.62610i	−0.917809	−	0.529897i
$266$	−5.61870	−	0.684327i	−0.344505	−	0.0419588i
$267$	2.69874	−	8.83060i	0.165160	−	0.540424i
$268$	−8.46569	−	0.0336742i	−0.517124	−	0.00205698i
$269$	−1.49698	−	0.864283i	−0.0912726	−	0.0526963i	0.453669	−	0.891170i	$-0.350115\pi$
$269$	−1.49698	−	0.864283i	−0.0912726	−	0.0526963i	−0.544942	+	0.838474i	$0.683448\pi$
$270$	−4.93167	−	11.1265i	−0.300132	−	0.677136i
$271$	3.37150	+	5.83961i	0.204804	+	0.354731i	0.950070	−	0.312036i	$-0.101011\pi$
$271$	3.37150	+	5.83961i	0.204804	+	0.354731i	−0.745266	+	0.666767i	$0.767678\pi$
$272$	0.105194	−	13.2227i	0.00637835	−	0.801746i
$273$	−22.2622	−	3.45589i	−1.34737	−	0.209160i
$274$	0.0552561	−	0.204590i	0.00333814	−	0.0123597i
$275$		−	6.12116i		−	0.369120i
$276$	3.05313	+	13.4620i	0.183777	+	0.810317i
$277$	−7.06046			−0.424222			−0.212111	−	0.977246i	$-0.568034\pi$
$277$	−7.06046			−0.424222			−0.212111	+	0.977246i	$0.568034\pi$
$278$	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	$0.817852\pi$
$282$	−4.78039	−	0.175935i	−0.284668	−	0.0104768i
$283$	−12.5514	−	21.7396i	−0.746101	−	1.29228i	−0.949679	−	0.313226i	$-0.898590\pi$
$283$	−12.5514	−	21.7396i	−0.746101	−	1.29228i	0.203578	−	0.979059i	$-0.434743\pi$
$284$	2.12492	−	3.64690i	0.126091	−	0.216404i
$285$	−1.26830	+	4.15003i	−0.0751275	+	0.245826i
$286$	13.3063	+	13.3594i	0.786821	+	0.789957i
$287$	1.66058	+	2.11251i	0.0980212	+	0.124698i
$288$	3.07594	+	16.6895i	0.181252	+	0.983437i
$289$	−3.03589	−	5.25831i	−0.178581	−	0.309312i
$290$	4.41312	+	16.6020i	0.259147	+	0.974902i
$291$	2.45800	−	8.04287i	0.144090	−	0.471481i
$292$	5.23334	+	9.14826i	0.306258	+	0.535361i
$293$	−17.8533	−	10.3076i	−1.04300	−	0.602175i	−0.122317	−	0.992491i	$-0.539033\pi$
$293$	−17.8533	−	10.3076i	−1.04300	−	0.602175i	−0.920681	+	0.390316i	$0.872366\pi$
$294$	−4.65943	+	16.5012i	−0.271743	+	0.962370i
$295$	−9.33122	+	5.38738i	−0.543285	+	0.313666i
$296$	24.3354	+	6.67652i	1.41446	+	0.388065i
$297$	−10.9488	+	8.87204i	−0.635312	+	0.514808i
$298$	−6.10355	+	22.5989i	−0.353569	+	1.30912i
$299$	9.79511	−	16.9656i	0.566466	−	0.981148i
$300$	−7.62496	+	1.72931i	−0.440227	+	0.0998420i
$301$	17.2065	−	2.47025i	0.991766	−	0.142383i
$302$	−23.2071	−	6.26782i	−1.33542	−	0.360673i
$303$	3.33176	+	3.57210i	0.191405	+	0.205212i
$304$	3.06711	−	5.21611i	0.175911	−	0.299165i
$305$	−9.36568	+	16.2218i	−0.536277	+	0.928860i
$306$	−9.18263	−	10.6013i	−0.524936	−	0.606035i
$307$	−28.7340			−1.63993			−0.819967	−	0.572410i	$-0.806008\pi$
$307$	−28.7340			−1.63993			−0.819967	+	0.572410i	$0.806008\pi$
$308$	11.3175	−	8.82373i	0.644873	−	0.502779i
$309$	2.01975	−	1.88386i	0.114900	−	0.107169i
$310$	3.79986	+	14.2949i	0.215817	+	0.811897i
$311$	−5.12147	−	8.87065i	−0.290412	−	0.503008i	0.683495	−	0.729955i	$-0.260459\pi$
$311$	−5.12147	−	8.87065i	−0.290412	−	0.503008i	−0.973907	+	0.226947i	$0.927126\pi$
$312$	12.8822	−	20.3496i	0.729310	−	1.15207i
$313$	−0.0930316	−	0.0537118i	−0.00525846	−	0.00303597i	0.497368	−	0.867539i	$-0.334300\pi$
$313$	−0.0930316	−	0.0537118i	−0.00525846	−	0.00303597i	−0.502627	+	0.864503i	$0.667633\pi$
$314$	−5.49064	−	20.6556i	−0.309855	−	1.16566i
$315$	11.8335	+	5.72503i	0.666740	+	0.322569i
$316$	−15.1037	−	26.4024i	−0.849651	−	1.48525i
$317$	−7.16731	+	12.4142i	−0.402556	+	0.697248i	−0.994034	−	0.109073i	$-0.965212\pi$
$317$	−7.16731	+	12.4142i	−0.402556	+	0.697248i	0.591477	+	0.806322i	$0.298545\pi$
$318$	25.4986	+	0.938438i	1.42989	+	0.0526250i
$319$	17.2261	−	9.94548i	0.964475	−	0.556840i
$320$	−13.2486	−	0.158104i	−0.740618	−	0.00883830i
$321$	−2.78081	+	9.09916i	−0.155210	+	0.507866i
$322$	−11.9163	−	8.96137i	−0.664070	−	0.499398i
$323$			5.00086i			0.278255i
$324$	14.1448	+	11.1321i	0.785824	+	0.618450i
$325$	9.60944	+	5.54801i	0.533036	+	0.307748i
$326$	2.15236	+	8.09711i	0.119208	+	0.448457i
$327$	5.31068	+	22.9917i	0.293681	+	1.27144i
$328$	−2.77909	+	0.726910i	−0.153449	+	0.0401369i
$329$	4.06213	−	3.19312i	0.223953	−	0.176043i
$330$	−5.14696	−	9.72409i	−0.283331	−	0.535294i
$331$	12.1038	+	6.98811i	0.665283	+	0.384101i	0.794287	−	0.607543i	$-0.207845\pi$
$331$	12.1038	+	6.98811i	0.665283	+	0.384101i	−0.129004	+	0.991644i	$0.541178\pi$
$332$	0.116206	−	29.2142i	0.00637765	−	1.60334i
$333$	24.0540	−	11.7384i	1.31815	−	0.643259i
$334$	−16.4797	−	16.5454i	−0.901728	−	0.905322i
$335$	−3.50522	−	6.07123i	−0.191511	−	0.331706i
$336$	−14.1888	−	11.6050i	−0.774064	−	0.633107i
$337$	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	$0.0137104\pi$
$338$	−15.2652	+	4.05777i	−0.830317	+	0.220714i
$339$	0.203604	+	0.881471i	0.0110583	+	0.0478749i
$340$	9.50470	−	5.43725i	0.515465	−	0.294876i
$341$	14.8323	−	8.56343i	0.803214	−	0.463736i
$342$	−1.21346	−	6.30233i	−0.0656166	−	0.340791i
$343$	−7.68303	−	16.8514i	−0.414845	−	0.909892i
$344$	−4.91668	+	17.9209i	−0.265090	+	0.966230i
$345$	−8.35920	+	7.79677i	−0.450044	+	0.419764i
$346$	16.2568	−	16.1922i	0.873968	−	0.870499i
$347$	−15.2540	+	8.80693i	−0.818880	+	0.472781i	−0.850030	−	0.526734i	$-0.823416\pi$
$347$	−15.2540	+	8.80693i	−0.818880	+	0.472781i	0.0311501	+	0.999515i	$0.490083\pi$
$348$	−17.2554	−	18.6483i	−0.924988	−	0.999655i
$349$	−24.0589	+	13.8904i	−1.28785	+	0.743538i	−0.978270	−	0.207337i	$-0.933520\pi$
$349$	−24.0589	+	13.8904i	−1.28785	+	0.743538i	−0.309576	+	0.950875i	$0.600187\pi$
$350$	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
$353$			20.3353i			1.08234i	0.840913	+	0.541170i	$0.182019\pi$
$353$			20.3353i			1.08234i	−0.840913	+	0.541170i	$0.817981\pi$
$354$	8.47008	−	13.4984i	0.450180	−	0.717432i
$355$	3.49522			0.185507
$356$	−10.6622	−	0.0424112i	−0.565094	−	0.00224779i
$357$	14.9697	+	2.32384i	0.792282	+	0.122991i
$358$	17.5307	−	17.4611i	0.926528	−	0.922850i
$359$	−9.00180	+	5.19719i	−0.475097	+	0.274297i	−0.718371	−	0.695660i	$-0.755112\pi$
$359$	−9.00180	+	5.19719i	−0.475097	+	0.274297i	0.243274	+	0.969958i	$0.421779\pi$
$360$	−10.6589	+	9.15862i	−0.561776	+	0.482702i
$361$	8.35578	−	14.4726i	0.439778	−	0.761718i
$362$	12.5275	+	3.38347i	0.658433	+	0.177831i
$363$	4.61664	−	4.30603i	0.242311	−	0.226008i
$364$	3.59435	+	25.7645i	0.188395	+	1.35043i
$365$	−4.36380	+	7.55833i	−0.228412	+	0.395621i
$366$	1.01890	−	27.6848i	0.0532586	−	1.44711i
$367$	12.4367			0.649191			0.324596	−	0.945853i	$-0.394772\pi$
$367$	12.4367			0.649191			0.324596	+	0.945853i	$0.394772\pi$
$368$	13.8668	−	7.85960i	0.722859	−	0.409710i
$369$	−1.70322	+	2.52631i	−0.0886660	+	0.131514i
$370$	5.36830	+	20.1953i	0.279085	+	1.04991i
$371$	−21.6674	+	17.0321i	−1.12492	+	0.884263i
$372$	−14.8576	−	16.0569i	−0.770329	−	0.832511i
$373$	7.04843			0.364954			0.182477	−	0.983210i	$-0.441589\pi$
$373$	7.04843			0.364954			0.182477	+	0.983210i	$0.441589\pi$
$374$	−8.94756	−	8.98322i	−0.462667	−	0.464511i
$375$	−14.1992	−	15.2235i	−0.733243	−	0.786136i
$376$	1.39777	+	5.34388i	0.0720844	+	0.275589i
$377$			36.0570i			1.85703i
$378$	−19.4295	+	0.703804i	−0.999345	+	0.0361998i
$379$			5.49479i			0.282248i	0.989992	+	0.141124i	$0.0450717\pi$
$379$			5.49479i			0.282248i	−0.989992	+	0.141124i	$0.954928\pi$
$380$	5.01079	+	0.0199316i	0.257048	+	0.00102247i
$381$	−9.85931	−	10.5705i	−0.505108	−	0.541544i
$382$	−0.747659	+	0.744691i	−0.0382535	+	0.0381017i
$383$	−29.8614			−1.52585			−0.762923	−	0.646489i	$-0.776237\pi$
$383$	−29.8614			−1.52585			−0.762923	+	0.646489i	$0.776237\pi$
$384$	17.4276	−	8.95985i	0.889348	−	0.457231i
$385$	11.0316	+	4.41906i	0.562222	+	0.225216i
$386$	7.20517	−	1.91527i	0.366733	−	0.0974846i
$387$	8.64430	+	17.7137i	0.439415	+	0.900438i
$388$	−9.71105	−	0.0386279i	−0.493004	−	0.00196103i
$389$	−3.71937			−0.188580			−0.0942899	−	0.995545i	$-0.530058\pi$
$389$	−3.71937			−0.188580			−0.0942899	+	0.995545i	$0.530058\pi$
$390$	19.9306	+	0.733517i	1.00923	+	0.0371431i
$391$	−6.58651	+	11.4082i	−0.333094	+	0.576936i
$392$	19.7960	−	0.344793i	0.999848	−	0.0174147i
$393$	21.7071	−	20.2466i	1.09498	−	1.02131i
$394$	4.79338	−	17.7479i	0.241487	−	0.894125i
$395$	12.5942	−	21.8138i	0.633682	−	1.09757i
$396$	13.4560	+	9.14997i	0.676187	+	0.459803i
$397$	15.9038	−	9.18206i	0.798189	−	0.460834i	−0.0446487	−	0.999003i	$-0.514217\pi$
$397$	15.9038	−	9.18206i	0.798189	−	0.460834i	0.842837	+	0.538168i	$0.180884\pi$
$398$	−9.83129	−	9.87047i	−0.492798	−	0.494762i
$399$	5.40081	+	4.34608i	0.270379	+	0.217576i
$400$	4.45173	+	7.85427i	0.222586	+	0.392713i
$401$	−24.0311			−1.20006			−0.600029	−	0.799978i	$-0.704844\pi$
$401$	−24.0311			−1.20006			−0.600029	+	0.799978i	$0.704844\pi$
$402$	8.78255	+	5.51093i	0.438034	+	0.274860i
$403$			31.0464i			1.54653i
$404$	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
$408$	−8.66234	+	13.6836i	−0.428850	+	0.677440i
$409$	−2.87152	+	1.65787i	−0.141987	+	0.0819764i	−0.569311	−	0.822122i	$-0.692790\pi$
$409$	−2.87152	+	1.65787i	−0.141987	+	0.0819764i	0.427323	+	0.904099i	$0.359457\pi$
$410$	−1.67869	−	1.68539i	−0.0829048	−	0.0832353i
$411$	−0.189803	+	0.177032i	−0.00936228	+	0.00873237i
$412$	−2.75558	−	1.60558i	−0.135758	−	0.0791013i
$413$	2.44605	+	17.0379i	0.120362	+	0.838382i
$414$	5.53244	−	15.9754i	0.271905	−	0.785147i
$415$	20.9512	−	12.0962i	1.02845	−	0.593778i
$416$	−26.7897	−	7.46458i	−1.31347	−	0.365981i
$417$	−4.72814	−	20.4697i	−0.231538	−	1.00240i
$418$	−1.49053	−	5.60730i	−0.0729040	−	0.274262i
$419$	−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	$0.185289\pi$
$420$	2.38812	−	14.9902i	0.116528	−	0.731446i
$421$	−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
$423$	4.85781	+	3.27510i	0.236195	+	0.159241i
$424$	−7.45569	−	28.5042i	−0.362080	−	1.38429i
$425$	−6.46166	−	3.73064i	−0.313436	−	0.180963i
$426$	−4.56887	+	2.41830i	−0.221362	+	0.117167i
$427$	18.4924	+	23.5251i	0.894910	+	1.13846i
$428$	10.9864	+	0.0437010i	0.531049	+	0.00211237i
$429$	−5.19729	−	22.5008i	−0.250928	−	1.08635i
$430$	−14.8721	+	3.95329i	−0.717197	+	0.190644i
$431$	19.2653	+	11.1228i	0.927978	+	0.535768i	0.886172	−	0.463357i	$-0.153355\pi$
$431$	19.2653	+	11.1228i	0.927978	+	0.535768i	0.0418066	+	0.999126i	$0.486689\pi$
$432$	7.59637	−	19.3467i	0.365481	−	0.930819i
$433$		−	5.03561i		−	0.241996i	−0.992653	−	0.120998i	$-0.961391\pi$
$433$		−	5.03561i		−	0.241996i	0.992653	−	0.120998i	$-0.0386094\pi$
$434$	23.4557	+	2.85678i	1.12591	+	0.137130i
$435$	6.14911	−	20.1207i	0.294827	−	0.964711i
$436$	23.6511	−	13.5298i	1.13268	−	0.647960i
$437$	−5.22048	+	3.01405i	−0.249729	+	0.144181i
$438$	0.474740	−	12.8993i	0.0226840	−	0.616353i
$439$	8.22957	−	14.2540i	0.392776	−	0.680308i	−0.600039	−	0.799971i	$-0.704848\pi$
$439$	8.22957	−	14.2540i	0.392776	−	0.680308i	0.992815	+	0.119663i	$0.0381815\pi$
$440$	−9.03672	+	8.92953i	−0.430809	+	0.425698i
$441$	15.5194	−	14.1474i	0.739018	−	0.673685i
$442$	22.2123	−	5.90444i	1.05653	−	0.280846i
$443$	−23.2175	−	13.4046i	−1.10310	−	0.636872i	−0.166063	−	0.986115i	$-0.553105\pi$
$443$	−23.2175	−	13.4046i	−1.10310	−	0.636872i	−0.937032	+	0.349243i	$0.886439\pi$
$444$	−20.9902	−	22.6846i	−0.996151	−	1.07656i
$445$	−4.41468	−	7.64644i	−0.209276	−	0.362476i
$446$	6.49329	−	1.72604i	0.307466	−	0.0817303i
$447$	20.9655	−	19.5549i	0.991633	−	0.924914i
$448$	−8.10461	+	19.5529i	−0.382907	+	0.923787i
$449$	−7.27030			−0.343107			−0.171553	−	0.985175i	$-0.554879\pi$
$449$	−7.27030			−0.343107			−0.171553	+	0.985175i	$0.554879\pi$
$450$	9.04855	+	3.13361i	0.426553	+	0.147720i
$451$	−1.37719	+	2.38535i	−0.0648491	+	0.112322i
$452$	0.906751	−	0.518715i	0.0426500	−	0.0243983i
$453$	20.0812	+	21.5297i	0.943496	+	1.01156i
$454$	10.2082	−	37.7966i	0.479093	−	1.77388i
$455$	−16.9360	+	13.3129i	−0.793973	+	0.624119i
$456$	−6.56377	+	3.44085i	−0.307377	+	0.161133i
$457$	−4.59265	+	7.95471i	−0.214835	+	0.372106i	−0.953222	−	0.302272i	$-0.902255\pi$
$457$	−4.59265	+	7.95471i	−0.214835	+	0.372106i	0.738386	+	0.674378i	$0.235588\pi$
$458$	13.8183	+	3.73207i	0.645685	+	0.174388i
$459$	2.69266	+	16.9650i	0.125682	+	0.791859i
$460$	11.4046	+	6.64506i	0.531741	+	0.309827i
$461$	−19.8154	+	11.4404i	−0.922894	+	0.532833i	−0.884557	−	0.466432i	$-0.845539\pi$
$461$	−19.8154	+	11.4404i	−0.922894	+	0.532833i	−0.0383369	+	0.999265i	$0.512206\pi$
$462$	−17.4777	+	1.85614i	−0.813136	+	0.0863554i
$463$	−8.96359	−	5.17513i	−0.416573	−	0.240509i	0.277037	−	0.960859i	$-0.410648\pi$
$463$	−8.96359	−	5.17513i	−0.416573	−	0.240509i	−0.693610	+	0.720351i	$0.743981\pi$
$464$	−14.8703	+	25.2894i	−0.690337	+	1.17403i
$465$	5.29461	−	17.3246i	0.245532	−	0.803410i
$466$	−18.4543	+	4.90549i	−0.854878	+	0.227243i
$467$	2.05702	+	3.56287i	0.0951876	+	0.164870i	0.909687	−	0.415295i	$-0.136322\pi$
$467$	2.05702	+	3.56287i	0.0951876	+	0.164870i	−0.814499	+	0.580165i	$0.802988\pi$
$468$	−26.5603	+	12.8309i	−1.22775	+	0.593109i
$469$	−11.0855	+	1.59149i	−0.511880	+	0.0734881i
$470$	−3.24081	+	3.22795i	−0.149488	+	0.148894i
$471$	−7.65051	+	25.0334i	−0.352517	+	1.15348i
$472$	−17.7453	−	4.86851i	−0.816795	−	0.224091i
$473$	8.90920	+	15.4312i	0.409646	+	0.709527i
$474$	−1.37013	+	37.2282i	−0.0629321	+	1.70995i
$475$	−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
$479$	8.71796			0.398334			0.199167	−	0.979966i	$-0.436176\pi$
$479$	8.71796			0.398334			0.199167	+	0.979966i	$0.436176\pi$
$480$	13.6763	+	8.73408i	0.624233	+	0.398655i
$481$			43.8612i			1.99990i
$482$	14.2556	+	3.85019i	0.649326	+	0.175371i
$483$	6.59645	+	17.0277i	0.300149	+	0.774789i
$484$	−6.29855	−	3.66995i	−0.286298	−	0.166816i
$485$	−4.02087	−	6.96434i	−0.182578	−	0.316235i
$486$	−7.51000	−	20.7268i	−0.340661	−	0.940186i
$487$	29.6495	+	17.1181i	1.34355	+	0.775697i	0.987326	−	0.158704i	$-0.0507316\pi$
$487$	29.6495	+	17.1181i	1.34355	+	0.775697i	0.356221	+	0.934402i	$0.384065\pi$
$488$	−30.9481	+	8.09492i	−1.40095	+	0.366440i
$489$	2.99904	−	9.81323i	0.135621	−	0.443770i
$490$	8.49958	+	14.0203i	0.383972	+	0.633371i
$491$	34.6007	+	19.9767i	1.56151	+	0.901537i	0.997105	+	0.0760381i	$0.0242271\pi$
$491$	34.6007	+	19.9767i	1.56151	+	0.901537i	0.564403	+	0.825499i	$0.309106\pi$
$492$	3.36045	+	1.04163i	0.151501	+	0.0469601i
$493$		−	24.2457i		−	1.09197i
$494$	10.1537	+	2.74234i	0.456837	+	0.123384i
$495$	−0.937046	+	13.4423i	−0.0421171	+	0.604187i
$496$	−12.8039	+	21.7751i	−0.574912	+	0.977731i
$497$	2.07630	−	5.18320i	0.0931346	−	0.232498i
$498$	−19.0177	+	30.3077i	−0.852202	+	1.35812i
$499$			15.5817i			0.697531i	0.937210	+	0.348766i	$0.113399\pi$
$499$			15.5817i			0.697531i	−0.937210	+	0.348766i	$0.886601\pi$
$500$	−12.1017	+	20.7696i	−0.541206	+	0.928844i
$501$	6.43675	+	27.8669i	0.287573	+	1.24500i
$502$	1.69257	−	6.26687i	0.0755430	−	0.279704i
$503$	9.03852			0.403008			0.201504	−	0.979488i	$-0.435417\pi$
$503$	9.03852			0.403008			0.201504	+	0.979488i	$0.435417\pi$
$504$	7.24984	+	21.2471i	0.322934	+	0.946422i
$505$	4.67078			0.207847
$506$	3.98499	−	14.7548i	0.177155	−	0.655929i
$507$	18.5005	+	5.65399i	0.821638	+	0.251102i
$508$	−8.40292	+	14.4215i	−0.372819	+	0.639851i
$509$		−	15.0676i		−	0.667858i	−0.942598	−	0.333929i	$-0.891625\pi$
$509$		−	15.0676i		−	0.667858i	0.942598	−	0.333929i	$-0.108375\pi$
$510$	−13.4019	−	0.493238i	−0.593446	−	0.0218409i
$511$	8.61626	+	10.9612i	0.381161	+	0.484894i
$512$	−15.7111	−	16.2838i	−0.694337	−	0.719650i
$513$	−2.81457	+	7.33935i	−0.124266	+	0.324040i
$514$	−35.7784	−	9.66310i	−1.57812	−	0.426221i
$515$		−	2.64097i		−	0.116375i
$516$	16.7052	−	15.4575i	0.735407	−	0.680477i
$517$	4.58678	+	2.64818i	0.201726	+	0.116467i
$518$	33.1374	+	4.03595i	1.45597	+	0.177329i
$519$	−27.3808	+	6.32448i	−1.20188	+	0.277614i
$520$	−5.82764	−	22.2799i	−0.255559	−	0.977040i
$521$	−9.24459	−	5.33737i	−0.405013	−	0.233834i	0.283632	−	0.958933i	$-0.408461\pi$
$521$	−9.24459	−	5.33737i	−0.405013	−	0.233834i	−0.688645	+	0.725099i	$0.741794\pi$
$522$	5.88326	+	30.5557i	0.257503	+	1.33739i
$523$	−5.88205	−	10.1880i	−0.257204	−	0.445490i	0.708288	−	0.705924i	$-0.249468\pi$
$523$	−5.88205	−	10.1880i	−0.257204	−	0.445490i	−0.965492	+	0.260433i	$0.916135\pi$
$524$	−29.6153	−	17.2558i	−1.29375	−	0.753825i
$525$	−9.64462	+	3.73627i	−0.420926	+	0.163064i
$526$	8.10106	+	2.18795i	0.353223	+	0.0953991i
$527$		−	20.8765i		−	0.909394i
$528$	5.63435	−	17.9249i	0.245204	−	0.780079i
$529$	7.12109			0.309612
$530$	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
$534$	11.0612	+	6.94078i	0.478666	+	0.300357i
$535$	4.54894	+	7.87900i	0.196668	+	0.340639i
$536$	3.16763	−	11.5457i	0.136821	−	0.498700i
$537$	−29.5265	+	6.82010i	−1.27416	+	0.294309i
$538$	1.73200	−	1.72512i	0.0746718	−	0.0743754i
$539$	13.1064	−	13.7341i	0.564531	−	0.591568i
$540$	17.0094	−	2.63039i	0.731970	−	0.113194i
$541$	7.31831	+	12.6757i	0.314639	+	0.544970i	0.979361	−	0.202120i	$-0.0647833\pi$
$541$	7.31831	+	12.6757i	0.314639	+	0.544970i	−0.664722	+	0.747091i	$0.731450\pi$
$542$	−9.21601	+	2.44979i	−0.395861	+	0.105227i
$543$	−10.8401	−	11.6221i	−0.465194	−	0.498751i
$544$	18.0141	+	5.01939i	0.772350	+	0.215205i
$545$	19.5406	+	11.2818i	0.837028	+	0.483258i
$546$	12.9273	−	29.1201i	0.553238	−	1.24623i
$547$	−28.3730	+	16.3812i	−1.21314	+	0.700408i	−0.963442	−	0.267916i	$-0.913665\pi$
$547$	−28.3730	+	16.3812i	−1.21314	+	0.700408i	−0.249699	+	0.968323i	$0.580332\pi$
$548$	0.258951	+	0.150882i	0.0110618	+	0.00644535i
$549$	−18.9672	+	28.1331i	−0.809499	+	1.20069i
$550$	8.35719	+	2.25713i	0.356352	+	0.0962442i
$551$	5.54754	−	9.60862i	0.236333	−	0.409341i
$552$	−19.5054	−	0.795572i	−0.830205	−	0.0338618i
$553$	−24.8670	−	31.6346i	−1.05745	−	1.34524i
$554$	2.60348	−	9.63961i	0.110611	−	0.409548i
$555$	7.48004	−	24.4756i	0.317510	−	1.03893i
$556$	−21.0567	+	12.0457i	−0.893004	+	0.510851i
$557$	7.70165	−	13.3397i	0.326330	−	0.565219i	−0.655451	−	0.755238i	$-0.727521\pi$
$557$	7.70165	−	13.3397i	0.326330	−	0.565219i	0.981781	+	0.190018i	$0.0608547\pi$
$558$	5.06571	+	26.3096i	0.214448	+	1.11377i
$559$	−32.3000			−1.36614
$560$	−17.3688	+	2.35269i	−0.733968	+	0.0994194i
$561$	3.49480	+	15.1302i	0.147551	+	0.638796i
$562$	−2.22774	+	0.592174i	−0.0939714	+	0.0249793i
$563$	15.4916	+	26.8322i	0.652893	+	1.13084i	0.982418	+	0.186697i	$0.0597783\pi$
$563$	15.4916	+	26.8322i	0.652893	+	1.13084i	−0.329524	+	0.944147i	$0.606888\pi$
$564$	2.00293	−	6.46177i	0.0843387	−	0.272090i
$565$	0.749161	+	0.432528i	0.0315174	+	0.0181966i
$566$	34.3092	−	9.12001i	1.44212	−	0.383343i
$567$	20.6619	+	11.8357i	0.867720	+	0.497054i
$568$	4.19554	+	4.24591i	0.176041	+	0.178154i
$569$	19.1041	−	33.0892i	0.800884	−	1.38717i	−0.118151	−	0.992996i	$-0.537697\pi$
$569$	19.1041	−	33.0892i	0.800884	−	1.38717i	0.919035	−	0.394176i	$-0.128970\pi$
$570$	−5.19834	−	3.26189i	−0.217734	−	0.136625i
$571$	−8.83407	+	5.10035i	−0.369694	+	0.213443i	−0.673325	−	0.739347i	$-0.735134\pi$
$571$	−8.83407	+	5.10035i	−0.369694	+	0.213443i	0.303631	+	0.952790i	$0.401801\pi$
$572$	−23.1461	+	13.2409i	−0.967787	+	0.553631i
$573$	1.25926	−	0.290867i	0.0526063	−	0.0121511i
$574$	−3.49653	+	1.48822i	−0.145942	+	0.0621169i
$575$		−	8.99392i		−	0.375072i
$576$	−23.9203	−	1.95454i	−0.996678	−	0.0814390i
$577$	28.2579	+	16.3147i	1.17639	+	0.679191i	0.955177	−	0.296035i	$-0.0956643\pi$
$577$	28.2579	+	16.3147i	1.17639	+	0.679191i	0.221215	+	0.975225i	$0.428998\pi$
$578$	8.29860	−	2.20592i	0.345176	−	0.0917543i
$579$	−8.73225	−	2.66868i	−0.362900	−	0.110907i
$580$	−24.2939	−	0.0966345i	−1.00875	−	0.00401253i
$581$	−5.49207	−	38.2549i	−0.227849	−	1.58708i
$582$	10.0745	+	6.32163i	0.417602	+	0.262040i
$583$	−24.4658	−	14.1254i	−1.01327	−	0.585013i
$584$	−14.4198	+	3.77171i	−0.596696	+	0.156074i
$585$	−20.2534	−	13.6547i	−0.837375	−	0.564552i
$586$	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	$0.579729\pi$
$588$	−20.8109	−	12.4462i	−0.858226	−	0.513272i
$589$	4.77664	−	8.27338i	0.196818	−	0.340898i
$590$	−3.91456	−	14.7264i	−0.161160	−	0.606277i
$591$	−16.4651	+	15.3573i	−0.677283	+	0.631714i
$592$	−18.0889	+	30.7630i	−0.743448	+	1.26435i
$593$	4.42792	−	2.55646i	0.181833	−	0.104981i	−0.406321	−	0.913731i	$-0.633188\pi$
$593$	4.42792	−	2.55646i	0.181833	−	0.104981i	0.588153	+	0.808749i	$0.299855\pi$
$594$	−8.07568	−	18.2198i	−0.331349	−	0.747567i
$595$	11.3883	−	8.95197i	0.466873	−	0.366995i
$596$	−28.6035	−	16.6663i	−1.17165	−	0.682678i
$597$	3.83998	+	16.6245i	0.157160	+	0.680397i
$598$	19.5512	+	19.6291i	0.799509	+	0.802696i
$599$	20.1606	−	11.6397i	0.823739	−	0.475586i	−0.0279654	−	0.999609i	$-0.508903\pi$
$599$	20.1606	−	11.6397i	0.823739	−	0.475586i	0.851704	+	0.524023i	$0.175569\pi$
$600$	0.450617	−	11.0480i	0.0183964	−	0.451032i
$601$	35.2417	−	20.3468i	1.43754	−	0.829964i	0.439862	−	0.898066i	$-0.355027\pi$
$601$	35.2417	−	20.3468i	1.43754	−	0.829964i	0.997678	+	0.0681014i	$0.0216941\pi$
$602$	−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
$605$		−	6.03660i		−	0.245423i
$606$	−6.10552	+	3.23165i	−0.248020	+	0.131277i
$607$	−5.34683			−0.217021			−0.108511	−	0.994095i	$-0.534608\pi$
$607$	−5.34683			−0.217021			−0.108511	+	0.994095i	$0.534608\pi$
$608$	5.99056	+	6.11091i	0.242949	+	0.247830i
$609$	−26.1849	−	21.0712i	−1.06106	−	0.853847i
$610$	−18.6941	−	18.7686i	−0.756901	−	0.759917i
$611$	−8.31460	+	4.80044i	−0.336373	+	0.194205i
$612$	17.8599	−	8.62787i	0.721944	−	0.348761i
$613$	−21.3074	+	36.9055i	−0.860597	+	1.49060i	0.0107566	+	0.999942i	$0.496576\pi$
$613$	−21.3074	+	36.9055i	−0.860597	+	1.49060i	−0.871354	+	0.490656i	$0.836757\pi$
$614$	10.5954	−	39.2303i	0.427596	−	1.58321i
$615$	0.655677	+	2.83864i	0.0264395	+	0.114465i
$616$	7.87377	+	18.7054i	0.317243	+	0.753661i
$617$	−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	$0.206585\pi$
$618$	1.82726	+	3.45221i	0.0735030	+	0.138868i
$619$	3.83271			0.154050			0.0770249	−	0.997029i	$-0.475458\pi$
$619$	3.83271			0.154050			0.0770249	+	0.997029i	$0.475458\pi$
$620$	−20.9180	−	0.0832059i	−0.840085	−	0.00334163i
$621$	−16.0872	+	13.0358i	−0.645557	+	0.523110i
$622$	13.9995	−	3.72134i	0.561331	−	0.149212i
$623$	−13.9617	+	2.00441i	−0.559363	+	0.0803050i
$624$	23.0330	+	25.0917i	0.922056	+	1.00447i
$625$	−8.62061			−0.344824
$626$	0.107637	−	0.107210i	0.00430204	−	0.00428496i
$627$	−2.07686	+	6.79573i	−0.0829417	+	0.271395i
$628$	30.2256	+	0.120229i	1.20613	+	0.00479767i
$629$		−	29.4935i		−	1.17598i
$630$	−12.1798	+	14.0451i	−0.485257	+	0.559570i
$631$			31.3249i			1.24703i	0.781813	+	0.623513i	$0.214295\pi$
$631$			31.3249i			1.24703i	−0.781813	+	0.623513i	$0.785705\pi$
$632$	41.6164	−	10.8854i	1.65541	−	0.432997i
$633$	39.8082	−	9.19499i	1.58223	−	0.365468i
$634$	−14.3061	−	14.3631i	−0.568167	−	0.570432i
$635$	−13.8217			−0.548498
$636$	−10.6836	+	34.4670i	−0.423634	+	1.36671i
$637$	9.68157	+	33.0234i	0.383598	+	1.30844i
$638$	7.22654	+	27.1860i	0.286102	+	1.07630i
$639$	6.31588	+	0.440272i	0.249852	+	0.0174169i
$640$	5.10116	−	18.0299i	0.201641	−	0.712695i
$641$	20.4112			0.806195			0.403097	−	0.915157i	$-0.367934\pi$
$641$	20.4112			0.806195			0.403097	+	0.915157i	$0.367934\pi$
$642$	−11.3976	−	7.15187i	−0.449829	−	0.282262i
$643$	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	$0.0736773\pi$
$644$	16.6290	−	12.9649i	0.655273	−	0.510887i
$645$	18.0242	+	5.50840i	0.709701	+	0.216893i
$646$	−6.82764	−	1.84402i	−0.268630	−	0.0725521i
$647$	−16.1015	+	27.8887i	−0.633017	+	1.09642i	0.353915	+	0.935278i	$0.384850\pi$
$647$	−16.1015	+	27.8887i	−0.633017	+	1.09642i	−0.986932	+	0.161140i	$0.948483\pi$
$648$	−20.4144	+	15.2070i	−0.801953	+	0.597387i
$649$	−15.2800	+	8.82192i	−0.599793	+	0.346291i
$650$	−11.1181	+	11.0739i	−0.436087	+	0.434356i
$651$	−22.5461	−	18.1431i	−0.883653	−	0.711083i
$652$	−11.8486	−	0.0471305i	−0.464027	−	0.00184577i
$653$	−35.8205			−1.40177			−0.700883	−	0.713276i	$-0.747211\pi$
$653$	−35.8205			−1.40177			−0.700883	+	0.713276i	$0.747211\pi$
$654$	−33.3487	−	1.22735i	−1.30404	−	0.0479932i
$655$		−	28.3836i		−	1.10904i
$656$	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	−0.506351	−	0.862328i	$-0.669006\pi$
$659$	−0.326746	+	0.188647i	−0.0127282	+	0.00734865i	0.493622	+	0.869676i	$0.335673\pi$
$660$	15.1741	−	3.44144i	0.590653	−	0.133958i
$661$	−34.1203	+	19.6993i	−1.32712	+	0.766216i	−0.984854	−	0.173386i	$-0.944529\pi$
$661$	−34.1203	+	19.6993i	−1.32712	+	0.766216i	−0.342270	+	0.939601i	$0.611196\pi$
$662$	−14.0040	+	13.9484i	−0.544280	+	0.542120i
$663$	−26.9200	−	8.22708i	−1.04549	−	0.319513i
$664$	39.8432	+	10.9312i	1.54622	+	0.424211i
$665$	6.56143	−	0.941992i	0.254441	−	0.0365289i
$666$	7.15664	+	37.1692i	0.277314	+	1.44028i
$667$	25.3106	−	14.6131i	0.980029	−	0.565820i
$668$	28.6660	−	16.3987i	1.10912	−	0.634483i
$669$	−7.86950	−	2.40501i	−0.304252	−	0.0929832i
$670$	9.58153	−	2.54695i	0.370167	−	0.0983973i
$671$	−15.3364	+	26.5635i	−0.592057	+	1.02547i
$672$	21.0763	−	15.0927i	0.813037	−	0.582212i
$673$	−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
$675$	−7.38358	−	9.11189i	−0.284194	−	0.350717i
$676$	0.0888535	−	22.3378i	0.00341744	−	0.859144i
$677$	8.07923	+	4.66454i	0.310510	+	0.179273i	0.647155	−	0.762359i	$-0.275959\pi$
$677$	8.07923	+	4.66454i	0.310510	+	0.179273i	−0.336645	+	0.941632i	$0.609292\pi$
$678$	−1.27855	−	0.0470550i	−0.0491022	−	0.00180714i
$679$	−12.7162	+	1.82561i	−0.488004	+	0.0700604i
$680$	3.91867	+	14.9817i	0.150274	+	0.574520i
$681$	−35.0647	+	32.7055i	−1.34368	+	1.25328i
$682$	6.22232	+	23.4081i	0.238265	+	0.896344i
$683$	−1.57689	−	0.910416i	−0.0603379	−	0.0348361i	0.469528	−	0.882918i	$-0.344424\pi$
$683$	−1.57689	−	0.910416i	−0.0603379	−	0.0348361i	−0.529865	+	0.848082i	$0.677758\pi$
$684$	9.05199	+	0.667194i	0.346112	+	0.0255108i
$685$			0.248181i			0.00948251i
$686$	25.8402	−	4.27578i	0.986585	−	0.163250i
$687$	−11.9570	−	12.8195i	−0.456187	−	0.489095i
$688$	−22.6543	−	13.3209i	−0.863688	−	0.507854i
$689$	44.3501	−	25.6055i	1.68960	−	0.975492i
$690$	−7.56251	−	14.2878i	−0.287900	−	0.543926i
$691$	1.41258	−	2.44666i	0.0537371	−	0.0930754i	−0.837906	−	0.545815i	$-0.816220\pi$
$691$	1.41258	−	2.44666i	0.0537371	−	0.0930754i	0.891643	+	0.452740i	$0.149553\pi$
$692$	16.1126	+	28.1660i	0.612509	+	1.07071i
$693$	19.3775	+	9.37482i	0.736089	+	0.356120i
$694$	−6.39925	−	24.0737i	−0.242912	−	0.913827i
$695$	−17.3971	−	10.0442i	−0.659911	−	0.381000i
$696$	31.8232	−	16.6823i	1.20626	−	0.632342i
$697$	1.67870	+	2.90759i	0.0635852	+	0.110133i
$698$	−10.0930	−	37.9695i	−0.382026	−	1.43717i
$699$	22.3655	+	6.83518i	0.845942	+	0.258530i
$700$	7.34337	+	9.41875i	0.277553	+	0.355995i
$701$	21.7145			0.820146			0.410073	−	0.912053i	$-0.365503\pi$
$701$	21.7145			0.820146			0.410073	+	0.912053i	$0.365503\pi$
$702$	35.9223	+	3.83600i	1.35580	+	0.144781i
$703$	6.74825	−	11.6883i	0.254515	−	0.440833i
$704$	−21.6947	−	0.258898i	−0.817651	−	0.00975759i
$705$	5.45840	−	1.26080i	0.205575	−	0.0474843i
$706$	−27.7637	−	7.49848i	−1.04490	−	0.282209i
$707$	2.77462	−	6.92647i	0.104350	−	0.260497i
$708$	15.3060	+	16.5416i	0.575236	+	0.621670i
$709$	−9.11258	+	15.7835i	−0.342230	+	0.592760i	−0.984847	−	0.173428i	$-0.944516\pi$
$709$	−9.11258	+	15.7835i	−0.342230	+	0.592760i	0.642616	+	0.766188i	$0.277849\pi$
$710$	−1.28883	+	4.77201i	−0.0483691	+	0.179090i
$711$	25.5055	−	37.8311i	0.956529	−	1.41878i
$712$	3.98949	−	14.5414i	0.149512	−	0.544960i
$713$	21.7933	−	12.5824i	0.816167	−	0.471214i
$714$	−8.69268	+	19.5812i	−0.325315	+	0.732808i
$715$	−19.1234	−	11.0409i	−0.715174	−	0.412906i
$716$	17.3753	+	30.3733i	0.649345	+	1.13510i
$717$	42.1742	−	9.74149i	1.57502	−	0.363803i
$718$	−3.77636	−	14.2065i	−0.140933	−	0.530183i
$719$	−0.946279	−	1.63900i	−0.0352903	−	0.0611245i	0.847841	−	0.530251i	$-0.177902\pi$
$719$	−0.946279	−	1.63900i	−0.0352903	−	0.0611245i	−0.883131	+	0.469126i	$0.844569\pi$
$720$	−8.57382	−	17.9298i	−0.319527	−	0.668203i
$721$	−3.91640	−	1.56884i	−0.145854	−	0.0584266i
$722$	16.6783	+	16.7448i	0.620702	+	0.623176i
$723$	−12.3354	−	13.2253i	−0.458760	−	0.491853i
$724$	−9.23885	+	15.8562i	−0.343359	+	0.589290i
$725$	8.27693	+	14.3361i	0.307397	+	0.532428i
$726$	4.17665	+	7.89089i	0.155010	+	0.292858i
$727$	−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
$731$	21.7194			0.803322
$732$	37.4222	+	11.5996i	1.38316	+	0.428734i
$733$			8.14686i			0.300911i	0.988617	+	0.150456i	$0.0480741\pi$
$733$			8.14686i			0.300911i	−0.988617	+	0.150456i	$0.951926\pi$
$734$	−4.58593	+	16.9798i	−0.169270	+	0.626735i
$735$	0.229230	−	20.0789i	0.00845527	−	0.740622i
$736$	5.61740	+	21.8305i	0.207060	+	0.804682i
$737$	−5.73985	−	9.94172i	−0.211430	−	0.366208i
$738$	−2.82111	−	3.25695i	−0.103846	−	0.119890i
$739$	−4.33522	−	2.50294i	−0.159474	−	0.0920722i	0.418139	−	0.908383i	$-0.362682\pi$
$739$	−4.33522	−	2.50294i	−0.159474	−	0.0920722i	−0.577613	+	0.816311i	$0.696016\pi$
$740$	−29.5521	−	0.117550i	−1.08636	−	0.00432123i
$741$	−8.78604	−	9.41982i	−0.322763	−	0.346046i
$742$	−15.2642	−	35.8628i	−0.560365	−	1.31657i
$743$	−23.9292	−	13.8155i	−0.877877	−	0.506842i	−0.00791898	−	0.999969i	$-0.502521\pi$
$743$	−23.9292	−	13.8155i	−0.877877	−	0.506842i	−0.869958	+	0.493126i	$0.835854\pi$
$744$	27.4010	−	14.3641i	1.00457	−	0.526614i
$745$		−	27.4139i		−	1.00437i
$746$	−2.59905	+	9.62318i	−0.0951579	+	0.352330i
$747$	39.3825	−	19.2187i	1.44093	−	0.703176i
$748$	15.5641	−	8.90357i	0.569079	−	0.325547i
$749$	14.3863	−	2.06537i	0.525664	−	0.0754670i
$750$	26.0203	−	13.7726i	0.950129	−	0.502903i
$751$		−	32.6889i		−	1.19284i	−0.802674	−	0.596418i	$-0.796590\pi$
$751$		−	32.6889i		−	1.19284i	0.802674	−	0.596418i	$-0.203410\pi$
$752$	−7.81138	−	0.0621441i	−0.284852	−	0.00226616i
$753$	−5.81391	+	5.42274i	−0.211871	+	0.197616i
$754$	−49.2284	−	13.2957i	−1.79279	−	0.484201i
$755$	28.1517			1.02455
$756$	6.20356	−	26.7865i	0.225621	−	0.974215i
$757$	−19.8021			−0.719720			−0.359860	−	0.933006i	$-0.617176\pi$
$757$	−19.8021			−0.719720			−0.359860	+	0.933006i	$0.617176\pi$
$758$	−7.50201	−	2.02616i	−0.272485	−	0.0735933i
$759$	−13.6883	+	12.7673i	−0.496854	+	0.463425i
$760$	−1.87490	+	6.83385i	−0.0680097	+	0.247890i
$761$			47.3866i			1.71776i	0.512175	+	0.858881i	$0.328840\pi$
$761$			47.3866i			1.71776i	−0.512175	+	0.858881i	$0.671160\pi$
$762$	18.0674	−	9.56308i	0.654513	−	0.346434i
$763$	28.3380	−	22.2757i	1.02591	−	0.806435i
$764$	−0.741029	−	1.29537i	−0.0268095	−	0.0468649i
$765$	13.6190	+	9.18181i	0.492395	+	0.331969i
$766$	11.0111	−	40.7696i	0.397849	−	1.47307i
$767$		−	31.9836i		−	1.15486i
$768$	5.80656	+	27.0977i	0.209526	+	0.977803i
$769$	41.6592	+	24.0520i	1.50227	+	0.867336i	0.999997	+	0.00262643i	$0.000836020\pi$
$769$	41.6592	+	24.0520i	1.50227	+	0.867336i	0.502273	+	0.864709i	$0.332497\pi$
$770$	−10.1011	+	13.4319i	−0.364019	+	0.484051i
$771$	30.9591	+	33.1924i	1.11497	+	1.19539i
$772$	−0.0419388	+	10.5434i	−0.00150941	+	0.379466i
$773$	−0.506957	−	0.292692i	−0.0182340	−	0.0105274i	0.490855	−	0.871241i	$-0.336684\pi$
$773$	−0.506957	−	0.292692i	−0.0182340	−	0.0105274i	−0.509089	+	0.860714i	$0.670018\pi$
$774$	−27.3719	+	5.27025i	−0.983863	+	0.189435i
$775$	7.12674	+	12.3439i	0.256000	+	0.443405i
$776$	3.63360	−	13.2442i	0.130439	−	0.475439i
$777$	−31.8523	−	25.6319i	−1.14270	−	0.919538i
$778$	1.37149	−	5.07804i	0.0491702	−	0.182057i
$779$			1.53637i			0.0550463i
$780$	−8.35071	+	26.9407i	−0.299003	+	0.964631i
$781$	5.72348			0.204802
$782$	−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
$786$	19.6383	+	37.1024i	0.700474	+	1.32340i
$787$	−0.614163	−	1.06376i	−0.0218926	−	0.0379190i	0.854872	−	0.518840i	$-0.173636\pi$
$787$	−0.614163	−	1.06376i	−0.0218926	−	0.0379190i	−0.876764	+	0.480921i	$0.840303\pi$
$788$	22.4636	+	13.0888i	0.800231	+	0.466268i
$789$	−7.00987	−	7.51553i	−0.249558	−	0.267560i
$790$	25.1382	+	25.2384i	0.894378	+	0.897942i
$791$	1.08644	−	0.854020i	0.0386294	−	0.0303655i
$792$	−17.4542	+	14.9974i	−0.620207	+	0.532908i
$793$	−27.8009	−	48.1525i	−0.987238	−	1.70995i
$794$	6.67183	+	25.0992i	0.236774	+	0.890736i
$795$	−29.1151	+	6.72508i	−1.03261	+	0.238514i
$796$	17.1013	−	9.78295i	0.606140	−	0.346748i
$797$	10.3748	+	5.98989i	0.367494	+	0.212173i	0.672363	−	0.740222i	$-0.265279\pi$
$797$	10.3748	+	5.98989i	0.367494	+	0.212173i	−0.304869	+	0.952394i	$0.598613\pi$
$798$	−7.92518	+	5.77112i	−0.280548	+	0.204295i
$799$	5.59097	−	3.22795i	0.197794	−	0.114197i
$800$	−12.3649	+	3.18173i	−0.437166	+	0.112491i
$801$	−7.01415	−	14.3732i	−0.247833	−	0.507853i
$802$	8.86128	−	32.8096i	0.312903	−	1.15855i
$803$	−7.14579	+	12.3769i	−0.252169	+	0.436770i
$804$	−10.7625	+	9.95865i	−0.379565	+	0.351215i
$805$	16.2089	+	6.49299i	0.571288	+	0.228848i
$806$	−42.3875	−	11.4481i	−1.49304	−	0.403242i
$807$	−2.91716	+	0.673812i	−0.102689	+	0.0237193i
$808$	5.60664	+	5.67394i	0.197241	+	0.199609i
$809$	−3.43996	+	5.95818i	−0.120943	+	0.209479i	−0.920140	−	0.391590i	$-0.871925\pi$
$809$	−3.43996	+	5.95818i	−0.120943	+	0.209479i	0.799197	+	0.601069i	$0.205258\pi$
$810$	−19.3913	−	8.26671i	−0.681340	−	0.290463i
$811$	12.6994			0.445938			0.222969	−	0.974826i	$-0.428425\pi$
$811$	12.6994			0.445938			0.222969	+	0.974826i	$0.428425\pi$
$812$	−14.5748	+	35.9689i	−0.511475	+	1.26226i
$813$	11.1693	+	3.41346i	0.391724	+	0.119715i
$814$	8.79067	+	33.0702i	0.308113	+	1.15911i
$815$	−4.90592	−	8.49731i	−0.171847	−	0.297648i
$816$	−15.4880	−	16.8724i	−0.542189	−	0.590651i
$817$	8.60744	+	4.96951i	0.301136	+	0.173861i
$818$	−1.20464	−	4.53179i	−0.0421191	−	0.158450i
$819$	−32.2804	+	21.9231i	−1.12797	+	0.766056i
$820$	2.92005	−	1.67044i	0.101973	−	0.0583344i
$821$	20.0200	−	34.6757i	0.698704	−	1.21019i	−0.270212	−	0.962801i	$-0.587094\pi$
$821$	20.0200	−	34.6757i	0.698704	−	1.21019i	0.968916	−	0.247390i	$-0.0795728\pi$
$822$	−0.171713	−	0.324416i	−0.00598919	−	0.0113153i
$823$	−30.7018	+	17.7257i	−1.07020	+	0.617878i	−0.928235	−	0.371994i	$-0.878674\pi$
$823$	−30.7018	+	17.7257i	−1.07020	+	0.617878i	−0.141962	+	0.989872i	$0.545341\pi$
$824$	3.20819	−	3.17013i	0.111762	−	0.110437i
$825$	−7.23150	−	7.75314i	−0.251768	−	0.269930i
$826$	−24.1638	−	2.94301i	−0.840765	−	0.102400i
$827$		−	51.5618i		−	1.79298i	−0.443064	−	0.896490i	$-0.646109\pi$
$827$		−	51.5618i		−	1.79298i	0.443064	−	0.896490i	$-0.353891\pi$
$828$	19.7711	+	13.4442i	0.687091	+	0.467218i
$829$	35.0577	+	20.2406i	1.21760	+	0.702984i	0.964405	−	0.264431i	$-0.0851840\pi$
$829$	35.0577	+	20.2406i	1.21760	+	0.702984i	0.253199	+	0.967414i	$0.418517\pi$
$830$	8.78927	+	33.0649i	0.305080	+	1.14770i
$831$	−8.94287	+	8.34118i	−0.310225	+	0.289352i
$832$	20.0698	−	33.8233i	0.695796	−	1.17261i
$833$	−6.51016	−	22.2059i	−0.225564	−	0.769388i
$834$	29.6906	+	1.09272i	1.02810	+	0.0378378i
$835$	23.6840	+	13.6740i	0.819618	+	0.473207i
$836$	8.20524	+	0.0326382i	0.283784	+	0.00112882i
$837$	11.7497	−	30.6387i	0.406127	−	1.05903i
$838$	−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	$0.874249\pi$
$840$	19.5854	+	8.78799i	0.675762	+	0.303215i
$841$	−12.3962	+	21.4709i	−0.427456	+	0.740375i
$842$	8.94174	−	2.37688i	0.308153	−	0.0819127i
$843$	2.69989	+	0.825118i	0.0929891	+	0.0284186i
$844$	−23.4257	−	40.9498i	−0.806346	−	1.40955i
$845$	16.0197	−	9.24896i	0.551093	−	0.318174i
$846$	−6.26276	+	5.42468i	−0.215318	+	0.186504i
$847$	−8.95189	−	3.58597i	−0.307591	−	0.123215i
$848$	41.6659	+	0.331476i	1.43081	+	0.0113829i
$849$	−41.5807	−	12.7076i	−1.42705	−	0.436123i
$850$	7.47611	−	7.44643i	0.256428	−	0.255410i
$851$	30.7888	−	17.7759i	1.05543	−	0.609351i
$852$	−1.61696	−	7.12958i	−0.0553963	−	0.244255i
$853$	−8.86973	+	5.12094i	−0.303694	+	0.175338i	−0.644101	−	0.764940i	$-0.722768\pi$
$853$	−8.86973	+	5.12094i	−0.303694	+	0.175338i	0.340407	+	0.940278i	$0.389435\pi$
$854$	−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
$857$		−	17.9263i		−	0.612351i	−0.951975	−	0.306175i	$-0.900951\pi$
$857$		−	17.9263i		−	0.612351i	0.951975	−	0.306175i	$-0.0990494\pi$
$858$	32.6367	+	1.20114i	1.11420	+	0.0410064i
$859$	−35.1511			−1.19934			−0.599670	−	0.800248i	$-0.704701\pi$
$859$	−35.1511			−1.19934			−0.599670	+	0.800248i	$0.704701\pi$
$860$	0.0865656	−	21.7626i	0.00295186	−	0.742098i
$861$	4.59903	+	0.713934i	0.156734	+	0.0243308i
$862$	−22.2899	+	22.2014i	−0.759196	+	0.756183i
$863$	13.3132	−	7.68639i	0.453187	−	0.261648i	−0.255988	−	0.966680i	$-0.582401\pi$
$863$	13.3132	−	7.68639i	0.453187	−	0.261648i	0.709175	+	0.705032i	$0.249068\pi$
$864$	23.6129	+	17.5052i	0.803326	+	0.595540i
$865$	−13.4354	+	23.2709i	−0.456819	+	0.791233i
$866$	6.87509	+	1.85684i	0.233625	+	0.0630979i
$867$	−10.0574	−	3.07367i	−0.341568	−	0.104387i
$868$	−12.5494	+	30.9706i	−0.425956	+	1.05121i
$869$	20.6232	−	35.7204i	0.699593	−	1.21173i
$870$	25.2032	+	15.8147i	0.854468	+	0.536168i
$871$	20.8096			0.705108
$872$	9.75104	+	37.2797i	0.330212	+	1.26245i
$873$	−6.38846	−	13.0911i	−0.216216	−	0.443065i
$874$	−2.19005	−	8.23890i	−0.0740797	−	0.278685i
$875$	−11.8248	+	29.5190i	−0.399751	+	0.997926i
$876$	17.4363	+	5.40467i	0.589118	+	0.182607i
$877$	22.4040			0.756530			0.378265	−	0.925697i	$-0.376521\pi$
$877$	22.4040			0.756530			0.378265	+	0.925697i	$0.376521\pi$
$878$	16.4264	+	16.4918i	0.554363	+	0.556572i
$879$	−34.7905	+	8.03599i	−1.17345	+	0.271047i
$880$	−8.85922	−	15.6305i	−0.298644	−	0.526903i
$881$		−	29.1250i		−	0.981247i	−0.871372	−	0.490624i	$-0.836769\pi$
$881$		−	29.1250i		−	0.981247i	0.871372	−	0.490624i	$-0.163231\pi$
$882$	13.5927	+	26.4053i	0.457690	+	0.889112i
$883$			20.8057i			0.700168i	0.936718	+	0.350084i	$0.113847\pi$
$883$			20.8057i			0.700168i	−0.936718	+	0.350084i	$0.886153\pi$
$884$	−0.129290	+	32.5035i	−0.00434850	+	1.09321i
$885$	−5.45443	+	17.8476i	−0.183349	+	0.599940i
$886$	26.8625	−	26.7559i	0.902463	−	0.898880i
$887$	12.4673			0.418609			0.209305	−	0.977850i	$-0.432880\pi$
$887$	12.4673			0.418609			0.209305	+	0.977850i	$0.432880\pi$
$888$	38.7111	−	20.2931i	1.29906	−	0.680991i
$889$	−8.21063	+	20.4967i	−0.275376	+	0.687439i
$890$	12.0675	−	3.20777i	0.404504	−	0.107525i
$891$	−3.38649	+	24.1722i	−0.113452	+	0.809801i
$892$	−0.0377952	+	9.50172i	−0.00126548	+	0.318141i
$893$	2.95428			0.0988611
$894$	18.9673	+	35.8347i	0.634362	+	1.19849i
$895$	−14.4883	+	25.0945i	−0.484291	+	0.838817i
$896$	−23.7069	−	18.2751i	−0.791993	−	0.610530i
$897$	−7.63646	−	33.0608i	−0.254974	−	1.10387i
$898$	2.68086	−	9.92610i	0.0894615	−	0.331238i
$899$	−23.1586	+	40.1120i	−0.772384	+	1.33781i
$900$	−7.61488	+	11.1984i	−0.253829	+	0.373282i
$901$	−29.8222	+	17.2179i	−0.993522	+	0.573610i
$902$	−2.74889	−	2.75984i	−0.0915279	−	0.0918927i
$903$	18.8756	−	23.4565i	0.628142	−	0.780583i
$904$	0.373842	+	1.42925i	0.0124338	+	0.0475363i
$905$	−15.1967			−0.505156
$906$	−36.7992	+	19.4778i	−1.22257	+	0.647107i
$907$		−	27.6338i		−	0.917564i	−0.888549	−	0.458782i	$-0.848286\pi$
$907$		−	27.6338i		−	0.917564i	0.888549	−	0.458782i	$-0.151714\pi$
$908$	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	−0.754224	−	0.656617i	$-0.771987\pi$
$911$	−16.9835	+	9.80544i	−0.562689	+	0.324869i	0.191535	+	0.981486i	$0.438653\pi$
$912$	−2.27744	−	10.2303i	−0.0754135	−	0.338758i
$913$	34.3079	−	19.8077i	1.13542	−	0.655538i
$914$	−9.16702	−	9.20356i	−0.303218	−	0.304427i
$915$	7.30167	+	31.6113i	0.241386	+	1.04504i
$916$	−10.1907	+	17.4898i	−0.336711	+	0.577881i
$917$	−42.0911	−	16.8610i	−1.38997	−	0.556798i
$918$	−24.1551	−	2.57944i	−0.797238	−	0.0851341i
$919$	−26.8847	+	15.5219i	−0.886843	+	0.512019i	−0.872908	−	0.487884i	$-0.837769\pi$
$919$	−26.8847	+	15.5219i	−0.886843	+	0.512019i	−0.0139343	+	0.999903i	$0.504436\pi$
$920$	−13.2778	+	13.1203i	−0.437756	+	0.432563i
$921$	−36.3948	+	33.9461i	−1.19925	+	1.11856i
$922$	−8.31278	−	31.2724i	−0.273767	−	1.02990i
$923$	−5.18757	+	8.98514i	−0.170751	+	0.295749i
$924$	3.91058	−	24.5467i	0.128649	−	0.807526i
$925$	10.0684	+	17.4390i	0.331047	+	0.573390i
$926$	10.3708	−	10.3297i	0.340806	−	0.339453i
$927$	0.332667	−	4.77224i	0.0109262	−	0.156741i
$928$	−29.0441	−	29.6276i	−0.953421	−	0.972574i
$929$	−7.55264	−	4.36052i	−0.247794	−	0.143064i	0.370960	−	0.928649i	$-0.379029\pi$
$929$	−7.55264	−	4.36052i	−0.247794	−	0.143064i	−0.618754	+	0.785585i	$0.712362\pi$
$930$	21.7009	+	13.6170i	0.711600	+	0.446520i
$931$	2.50082	−	10.2898i	0.0819612	−	0.337234i
$932$	0.107416	−	27.0044i	0.00351853	−	0.884558i
$933$	−16.9666	−	5.18521i	−0.555463	−	0.169756i
$934$	−5.62287	+	1.49466i	−0.183986	+	0.0489069i
$935$	12.8591	+	7.42421i	0.420538	+	0.242798i
$936$	−7.72409	−	40.9940i	−0.252470	−	1.33993i
$937$		−	15.0809i		−	0.492672i	−0.969185	−	0.246336i	$-0.920773\pi$
$937$		−	15.0809i		−	0.492672i	0.969185	−	0.246336i	$-0.0792266\pi$
$938$	1.91483	−	15.7218i	0.0625213	−	0.513335i
$939$	−0.181290	+	0.0418748i	−0.00591617	+	0.00136653i
$940$	−3.21208	−	5.61494i	−0.104766	−	0.183139i
$941$	−45.4431	+	26.2366i	−1.48140	+	0.855289i	−0.999778	−	0.0210876i	$-0.993287\pi$
$941$	−45.4431	+	26.2366i	−1.48140	+	0.855289i	−0.481626	+	0.876377i	$0.659954\pi$
$942$	−31.3569	−	19.6760i	−1.02166	−	0.641080i
$943$	−2.02352	+	3.50484i	−0.0658949	+	0.114133i
$944$	13.1904	−	22.4324i	0.429311	−	0.730112i
$945$	21.7519	−	6.72856i	0.707590	−	0.218880i
$946$	−24.3533	+	6.47357i	−0.791795	+	0.210474i
$947$	38.5104	+	22.2340i	1.25142	+	0.722507i	0.971391	−	0.237485i	$-0.0763229\pi$
$947$	38.5104	+	22.2340i	1.25142	+	0.722507i	0.280028	+	0.959992i	$0.409656\pi$
$948$	−50.3222	−	15.5982i	−1.63439	−	0.506606i
$949$	−12.9534	−	22.4360i	−0.420485	−	0.728302i
$950$	4.66657	−	1.24046i	0.151403	−	0.0402458i
$951$	5.58778	+	24.1913i	0.181196	+	0.784458i
$952$	24.5447	+	3.08853i	0.795498	+	0.100100i
$953$	13.0081			0.421374			0.210687	−	0.977554i	$-0.432430\pi$
$953$	13.0081			0.421374			0.210687	+	0.977554i	$0.432430\pi$
$954$	33.4055	−	28.9352i	1.08154	−	0.936812i
$955$	0.617905	−	1.07024i	0.0199949	−	0.0346322i
$956$	−24.8180	−	43.3837i	−0.802672	−	1.40313i
$957$	10.0693	−	32.9479i	0.325493	−	1.06505i
$958$	−3.21468	+	11.9026i	−0.103861	+	0.384555i
$959$	0.368037	+	0.147429i	0.0118845	+	0.00476073i
$960$	−16.9676	+	15.4515i	−0.547627	+	0.498696i
$961$	−4.44046	+	7.69109i	−0.143241	+	0.248100i
$962$	−59.8835	−	16.1735i	−1.93072	−	0.521453i
$963$	7.22747	+	14.8104i	0.232902	+	0.477257i
$964$	−10.5133	+	18.0434i	−0.338610	+	0.581139i
$965$	−7.56128	+	4.36551i	−0.243406	+	0.140531i
$966$	−25.6803	+	2.72726i	−0.826249	+	0.0877480i
$967$	24.2347	+	13.9919i	0.779335	+	0.449949i	0.836194	−	0.548433i	$-0.184775\pi$
$967$	24.2347	+	13.9919i	0.779335	+	0.449949i	−0.0568598	+	0.998382i	$0.518109\pi$
$968$	7.33311	−	7.24612i	0.235695	−	0.232899i
$969$	5.90798	+	6.33415i	0.189792	+	0.203482i
$970$	10.9910	−	2.92162i	0.352901	−	0.0938077i
$971$	−4.21204	−	7.29547i	−0.135171	−	0.234123i	0.790492	−	0.612473i	$-0.209825\pi$
$971$	−4.21204	−	7.29547i	−0.135171	−	0.234123i	−0.925663	+	0.378350i	$0.876492\pi$
$972$	31.0674	−	2.61054i	0.996488	−	0.0837332i
$973$	−25.2295	+	19.8322i	−0.808822	+	0.635791i
$974$	−34.3043	+	34.1681i	−1.09918	+	1.09482i
$975$	18.7258	−	4.32534i	0.599707	−	0.138522i
$976$	0.359896	−	45.2382i	0.0115200	−	1.44804i
$977$	−0.352010	−	0.609699i	−0.0112618	−	0.0195060i	0.860340	−	0.509721i	$-0.170251\pi$
$977$	−0.352010	−	0.609699i	−0.0112618	−	0.0195060i	−0.871601	+	0.490215i	$0.836918\pi$
$978$	12.2921	+	7.71312i	0.393057	+	0.246638i
$979$	−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
$983$	−30.6154			−0.976480			−0.488240	−	0.872710i	$-0.662361\pi$
$983$	−30.6154			−0.976480			−0.488240	+	0.872710i	$0.662361\pi$
$984$	−2.66126	+	4.20391i	−0.0848379	+	0.134016i
$985$			21.5293i			0.685981i
$986$	33.1026	+	8.94041i	1.05420	+	0.284721i
$987$	1.37282	−	8.84343i	0.0436973	−	0.281489i
$988$	−7.48819	+	12.8516i	−0.238231	+	0.408864i
$989$	13.0904	+	22.6733i	0.416252	+	0.720969i
$990$	−18.0072	−	6.23608i	−0.572306	−	0.198196i
$991$	−38.1803	−	22.0434i	−1.21284	−	0.700232i	−0.249460	−	0.968385i	$-0.580253\pi$
$991$	−38.1803	−	22.0434i	−1.21284	−	0.700232i	−0.963376	+	0.268153i	$0.913587\pi$
$992$	−25.0081	−	25.5105i	−0.794008	−	0.809959i
$993$	23.5865	−	5.44807i	0.748495	−	0.172889i
$994$	6.31098	+	4.74602i	0.200172	+	0.150535i
$995$	14.1292	+	8.15748i	0.447925	+	0.258609i
$996$	−34.3663	−	37.1404i	−1.08894	−	1.17684i
$997$			7.36600i			0.233284i	0.993174	+	0.116642i	$0.0372130\pi$
$997$			7.36600i			0.233284i	−0.993174	+	0.116642i	$0.962787\pi$
$998$	−21.2736	−	5.74561i	−0.673403	−	0.181874i
$999$	16.5995	−	43.2852i	0.525184	−	1.36948i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.17	yes	84
3.2	odd	2		756.2.n.b.199.26		84
4.3	odd	2	inner	252.2.n.b.31.11	✓	84
7.5	odd	6		252.2.bj.b.103.39	yes	84
9.2	odd	6		756.2.bj.b.451.4		84
9.7	even	3		252.2.bj.b.115.39	yes	84
12.11	even	2		756.2.n.b.199.32		84
21.5	even	6		756.2.bj.b.523.4		84
28.19	even	6		252.2.bj.b.103.40	yes	84
36.7	odd	6		252.2.bj.b.115.40	yes	84
36.11	even	6		756.2.bj.b.451.3		84
63.47	even	6		756.2.n.b.19.32		84
63.61	odd	6	inner	252.2.n.b.187.11	yes	84
84.47	odd	6		756.2.bj.b.523.3		84
252.47	odd	6		756.2.n.b.19.26		84
252.187	even	6	inner	252.2.n.b.187.17	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.11	✓	84	4.3	odd	2	inner
252.2.n.b.31.17	yes	84	1.1	even	1	trivial
252.2.n.b.187.11	yes	84	63.61	odd	6	inner
252.2.n.b.187.17	yes	84	252.187	even	6	inner
252.2.bj.b.103.39	yes	84	7.5	odd	6
252.2.bj.b.103.40	yes	84	28.19	even	6
252.2.bj.b.115.39	yes	84	9.7	even	3
252.2.bj.b.115.40	yes	84	36.7	odd	6
756.2.n.b.19.26		84	252.47	odd	6
756.2.n.b.19.32		84	63.47	even	6
756.2.n.b.199.26		84	3.2	odd	2
756.2.n.b.199.32		84	12.11	even	2
756.2.bj.b.451.3		84	36.11	even	6
756.2.bj.b.451.4		84	9.2	odd	6
756.2.bj.b.523.3		84	84.47	odd	6
756.2.bj.b.523.4		84	21.5	even	6

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.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.368742 + 1.36529i) q^{2} +(1.26661 - 1.18139i) q^{3} +(-1.72806 - 1.00688i) q^{4} -1.65619i q^{5} +(1.14590 + 2.16493i) q^{6} +(-2.45603 - 0.983840i) q^{7} +(2.01190 - 1.98803i) q^{8} +(0.208620 - 2.99274i) q^{9} +O(q^{10})\)	\(q+(-0.368742 + 1.36529i) q^{2} +(1.26661 - 1.18139i) q^{3} +(-1.72806 - 1.00688i) q^{4} -1.65619i q^{5} +(1.14590 + 2.16493i) q^{6} +(-2.45603 - 0.983840i) q^{7} +(2.01190 - 1.98803i) q^{8} +(0.208620 - 2.99274i) q^{9} +(2.26119 + 0.610706i) q^{10} -2.71203i q^{11} +(-3.37831 + 0.766188i) q^{12} +(4.25755 + 2.45810i) q^{13} +(2.24887 - 2.99042i) q^{14} +(-1.95661 - 2.09775i) q^{15} +(1.97238 + 3.47990i) q^{16} +(-2.86290 - 1.65289i) q^{17} +(4.00904 + 1.38837i) q^{18} +(-0.756379 - 1.31009i) q^{19} +(-1.66759 + 2.86199i) q^{20} +(-4.27314 + 1.65539i) q^{21} +(3.70273 + 1.00004i) q^{22} -3.98484i q^{23} +(0.199650 - 4.89491i) q^{24} +2.25704 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} +(3.58553 - 1.89782i) q^{30} +(3.15757 + 5.46907i) q^{31} +(-5.47839 + 1.40969i) q^{32} +(-3.20398 - 3.43510i) q^{33} +(3.31236 - 3.29921i) q^{34} +(-1.62942 + 4.06764i) q^{35} +(-3.37384 + 4.96157i) q^{36} +(4.46089 + 7.72649i) q^{37} +(2.06756 - 0.549597i) q^{38} +(8.29665 - 1.91638i) q^{39} +(-3.29256 - 3.33208i) q^{40} +(-0.879545 - 0.507805i) q^{41} +(-0.684409 - 6.44450i) q^{42} +(-5.68989 + 3.28506i) q^{43} +(-2.73070 + 4.68656i) q^{44} +(-4.95654 - 0.345514i) q^{45} +(5.44047 + 1.46937i) q^{46} +(-0.976454 + 1.69127i) q^{47} +(6.60938 + 2.07754i) q^{48} +(5.06412 + 4.83267i) q^{49} +(-0.832263 + 3.08152i) q^{50} +(-5.57890 + 1.28863i) q^{51} +(-4.88228 - 8.53459i) q^{52} +(5.20840 - 9.02122i) q^{53} +(6.71812 - 2.97772i) q^{54} -4.49164 q^{55} +(-6.89717 + 2.90327i) q^{56} +(-2.50577 - 0.765793i) q^{57} +(-10.0242 + 2.66462i) q^{58} +(-3.25288 - 5.63415i) q^{59} +(1.26895 + 5.59512i) q^{60} +(-9.79467 - 5.65496i) q^{61} +(-8.63121 + 2.29434i) q^{62} +(-3.45675 + 7.14499i) q^{63} +(0.0954627 - 7.99943i) q^{64} +(4.07107 - 7.05131i) q^{65} +(5.87136 - 3.10771i) q^{66} +(3.66578 - 2.11644i) q^{67} +(3.28299 + 5.73890i) q^{68} +(-4.70766 - 5.04725i) q^{69} +(-4.95270 - 3.72455i) q^{70} +2.11040i q^{71} +(-5.52993 - 6.43582i) q^{72} +(-4.56368 - 2.63484i) q^{73} +(-12.1939 + 3.24136i) q^{74} +(2.85879 - 2.66645i) q^{75} +(-0.0120346 + 3.02549i) q^{76} +(-2.66821 + 6.66082i) q^{77} +(-0.442894 + 12.0340i) q^{78} +(13.1711 + 7.60431i) q^{79} +(5.76338 - 3.26663i) q^{80} +(-8.91296 - 1.24869i) q^{81} +(1.01763 - 1.01359i) q^{82} +(7.30362 + 12.6502i) q^{83} +(9.05101 + 1.44194i) q^{84} +(-2.73751 + 4.74150i) q^{85} +(-2.38698 - 8.97972i) q^{86} +(12.1488 + 3.71281i) q^{87} +(-5.39161 - 5.45633i) q^{88} +(4.61689 - 2.66556i) q^{89} +(2.29941 - 6.63973i) q^{90} +(-8.03827 - 10.2259i) q^{91} +(-4.01226 + 6.88603i) q^{92} +(10.4605 + 3.19687i) q^{93} +(-1.94902 - 1.95679i) q^{94} +(-2.16975 + 1.25271i) q^{95} +(-5.27360 + 8.25767i) q^{96} +(4.20504 - 2.42778i) q^{97} +(-8.46537 + 5.13201i) q^{98} +(-8.11641 - 0.565784i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

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