LMFDB - Embedded newform 252.2.n.b.31.11

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			31.11
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.998009 + 1.00199i) q^{2} +(-1.26661 + 1.18139i) q^{3} +(-0.00795539 - 1.99998i) q^{4} -1.65619i q^{5} +(0.0803514 - 2.44817i) q^{6} +(2.45603 + 0.983840i) q^{7} +(2.01190 + 1.98803i) q^{8} +(0.208620 - 2.99274i) q^{9} +O(q^{10})$	\(q+(-0.998009 + 1.00199i) q^{2} +(-1.26661 + 1.18139i) q^{3} +(-0.00795539 - 1.99998i) q^{4} -1.65619i q^{5} +(0.0803514 - 2.44817i) q^{6} +(2.45603 + 0.983840i) q^{7} +(2.01190 + 1.98803i) q^{8} +(0.208620 - 2.99274i) q^{9} +(1.65948 + 1.65289i) q^{10} +2.71203i q^{11} +(2.37284 + 2.52381i) q^{12} +(4.25755 + 2.45810i) q^{13} +(-3.43693 + 1.47902i) q^{14} +(1.95661 + 2.09775i) q^{15} +(-3.99987 + 0.0318213i) q^{16} +(-2.86290 - 1.65289i) q^{17} +(2.79048 + 3.19581i) q^{18} +(0.756379 + 1.31009i) q^{19} +(-3.31235 + 0.0131756i) q^{20} +(-4.27314 + 1.65539i) q^{21} +(-2.71742 - 2.70664i) q^{22} +3.98484i q^{23} +(-4.89694 - 0.141225i) q^{24} +2.25704 q^{25} +(-6.71205 + 1.81280i) q^{26} +(3.27136 + 4.03710i) q^{27} +(1.94812 - 4.91984i) q^{28} +(3.66717 + 6.35172i) q^{29} +(-4.05464 - 0.133077i) q^{30} +(-3.15757 - 5.46907i) q^{31} +(3.96003 - 4.03958i) q^{32} +(-3.20398 - 3.43510i) 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} +(-2.06756 - 0.549597i) q^{38} +(-8.29665 + 1.91638i) q^{39} +(3.29256 - 3.33208i) q^{40} +(-0.879545 - 0.507805i) q^{41} +(2.60595 - 5.93372i) q^{42} +(5.68989 - 3.28506i) q^{43} +(5.42403 - 0.0215753i) q^{44} +(-4.95654 - 0.345514i) q^{45} +(-3.99275 - 3.97690i) q^{46} +(0.976454 - 1.69127i) q^{47} +(5.02870 - 4.76573i) q^{48} +(5.06412 + 4.83267i) q^{49} +(-2.25254 + 2.26152i) q^{50} +(5.57890 - 1.28863i) q^{51} +(4.88228 - 8.53459i) q^{52} +(5.20840 - 9.02122i) q^{53} +(-7.30997 - 0.751208i) q^{54} +4.49164 q^{55} +(2.98537 + 6.86204i) q^{56} +(-2.50577 - 0.765793i) q^{57} +(-10.0242 - 2.66462i) q^{58} +(3.25288 + 5.63415i) q^{59} +(4.17991 - 3.92988i) 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} +(6.63952 + 0.217916i) q^{66} +(-3.66578 + 2.11644i) q^{67} +(-3.28299 + 5.73890i) q^{68} +(-4.70766 - 5.04725i) q^{69} +(2.44954 + 5.69221i) q^{70} -2.11040i q^{71} +(6.36938 - 5.60634i) q^{72} +(-4.56368 - 2.63484i) q^{73} +(-12.1939 - 3.24136i) q^{74} +(-2.85879 + 2.66645i) q^{75} +(2.61414 - 1.52317i) q^{76} +(-2.66821 + 6.66082i) q^{77} +(6.35994 - 10.2257i) q^{78} +(-13.1711 - 7.60431i) q^{79} +(0.0527021 + 6.62455i) q^{80} +(-8.91296 - 1.24869i) q^{81} +(1.38661 - 0.374498i) q^{82} +(-7.30362 - 12.6502i) q^{83} +(3.34474 + 8.53304i) 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} +(5.29287 - 4.62156i) q^{90} +(8.03827 + 10.2259i) q^{91} +(7.96961 - 0.0317009i) q^{92} +(10.4605 + 3.19687i) q^{93} +(0.720118 + 2.66629i) q^{94} +(2.16975 - 1.25271i) q^{95} +(-0.243492 + 9.79493i) q^{96} +(4.20504 - 2.42778i) q^{97} +(-9.89631 + 0.251133i) 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 $

$2$	−0.998009	+	1.00199i	−0.705699	+	0.708512i
$2$	−0.998009	+	1.00199i	−0.705699	+	0.708512i
$3$	−1.26661	+	1.18139i	−0.731280	+	0.682078i
$3$	−1.26661	+	1.18139i	−0.731280	+	0.682078i
$4$	−0.00795539	−	1.99998i	−0.00397770	−	0.999992i
$5$		−	1.65619i		−	0.740670i	−0.928898	−	0.370335i	$-0.879243\pi$
$5$		−	1.65619i		−	0.740670i	0.928898	−	0.370335i	$-0.120757\pi$
$6$	0.0803514	−	2.44817i	0.0328033	−	0.999462i
$7$	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
$10$	1.65948	+	1.65289i	0.524774	+	0.522690i
$11$			2.71203i			0.817709i	0.912600	+	0.408855i	$0.134072\pi$
$11$			2.71203i			0.817709i	−0.912600	+	0.408855i	$0.865928\pi$
$12$	2.37284	+	2.52381i	0.684981	+	0.728561i
$13$	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	$0.427884\pi$
$14$	−3.43693	+	1.47902i	−0.918558	+	0.395286i
$15$	1.95661	+	2.09775i	0.505195	+	0.541637i
$16$	−3.99987	+	0.0318213i	−0.999968	+	0.00795533i
$17$	−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	$0.797964\pi$
$18$	2.79048	+	3.19581i	0.657722	+	0.753261i
$19$	0.756379	+	1.31009i	0.173525	+	0.300555i	0.939650	−	0.342137i	$-0.111151\pi$
$19$	0.756379	+	1.31009i	0.173525	+	0.300555i	−0.766125	+	0.642692i	$0.777818\pi$
$20$	−3.31235	+	0.0131756i	−0.740665	+	0.00294616i
$21$	−4.27314	+	1.65539i	−0.932475	+	0.361235i
$22$	−2.71742	−	2.70664i	−0.579356	−	0.577057i
$23$			3.98484i			0.830896i	0.909617	+	0.415448i	$0.136375\pi$
$23$			3.98484i			0.830896i	−0.909617	+	0.415448i	$0.863625\pi$
$24$	−4.89694	−	0.141225i	−0.999584	−	0.0288275i
$25$	2.25704			0.451407
$26$	−6.71205	+	1.81280i	−1.31634	+	0.355520i
$27$	3.27136	+	4.03710i	0.629573	+	0.776941i
$28$	1.94812	−	4.91984i	0.368161	−	0.929762i
$29$	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	$0.594889\pi$
$30$	−4.05464	−	0.133077i	−0.740272	−	0.0242965i
$31$	−3.15757	−	5.46907i	−0.567116	−	0.982273i	−0.996849	−	0.0793176i	$-0.974726\pi$
$31$	−3.15757	−	5.46907i	−0.567116	−	0.982273i	0.429734	−	0.902956i	$-0.358607\pi$
$32$	3.96003	−	4.03958i	0.700040	−	0.714103i
$33$	−3.20398	−	3.43510i	−0.557741	−	0.597974i
$34$	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	0.955436	+	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	$0.691937\pi$
$42$	2.60595	−	5.93372i	0.402107	−	0.915593i
$43$	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	$0.166311\pi$
$44$	5.42403	−	0.0215753i	0.817703	−	0.00325260i
$45$	−4.95654	−	0.345514i	−0.738877	−	0.0515062i
$46$	−3.99275	−	3.97690i	−0.588699	−	0.586362i
$47$	0.976454	−	1.69127i	0.142430	−	0.246697i	−0.785981	−	0.618251i	$-0.787842\pi$
$47$	0.976454	−	1.69127i	0.142430	−	0.246697i	0.928411	+	0.371554i	$0.121175\pi$
$48$	5.02870	−	4.76573i	0.725830	−	0.687874i
$49$	5.06412	+	4.83267i	0.723446	+	0.690381i
$50$	−2.25254	+	2.26152i	−0.318558	+	0.319827i
$51$	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	$-0.0871020\pi$
$54$	−7.30997	−	0.751208i	−0.994761	−	0.102226i
$55$	4.49164			0.605653
$56$	2.98537	+	6.86204i	0.398936	+	0.916979i
$57$	−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	0.996278	−	0.0861987i	$-0.0274720\pi$
$59$	3.25288	+	5.63415i	0.423489	+	0.733504i	−0.572789	+	0.819703i	$0.694139\pi$
$60$	4.17991	−	3.92988i	0.539623	−	0.507345i
$61$	−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
$66$	6.63952	+	0.217916i	0.817269	+	0.0268236i
$67$	−3.66578	+	2.11644i	−0.447846	+	0.258564i	−0.706920	−	0.707293i	$-0.749916\pi$
$67$	−3.66578	+	2.11644i	−0.447846	+	0.258564i	0.259074	+	0.965857i	$0.416583\pi$
$68$	−3.28299	+	5.73890i	−0.398120	+	0.695943i
$69$	−4.70766	−	5.04725i	−0.566735	−	0.607617i
$70$	2.44954	+	5.69221i	0.292777	+	0.680349i
$71$		−	2.11040i		−	0.250459i	−0.992128	−	0.125229i	$-0.960033\pi$
$71$		−	2.11040i		−	0.250459i	0.992128	−	0.125229i	$-0.0399666\pi$
$72$	6.36938	−	5.60634i	0.750638	−	0.660713i
$73$	−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
$76$	2.61414	−	1.52317i	0.299862	−	0.174719i
$77$	−2.66821	+	6.66082i	−0.304070	+	0.759071i
$78$	6.35994	−	10.2257i	0.720122	−	1.15783i
$79$	−13.1711	−	7.60431i	−1.48186	−	0.855552i	−0.482071	−	0.876132i	$-0.660115\pi$
$79$	−13.1711	−	7.60431i	−1.48186	−	0.855552i	−0.999788	+	0.0205801i	$0.993449\pi$
$80$	0.0527021	+	6.62455i	0.00589228	+	0.740647i
$81$	−8.91296	−	1.24869i	−0.990328	−	0.138743i
$82$	1.38661	−	0.374498i	0.153125	−	0.0413564i
$83$	−7.30362	−	12.6502i	−0.801676	−	1.38854i	−0.918512	−	0.395393i	$-0.870609\pi$
$83$	−7.30362	−	12.6502i	−0.801676	−	1.38854i	0.116836	−	0.993151i	$-0.462725\pi$
$84$	3.34474	+	8.53304i	0.364941	+	0.931031i
$85$	−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	$0.242153\pi$
$90$	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
$93$	10.4605	+	3.19687i	1.08471	+	0.331499i
$94$	0.720118	+	2.66629i	0.0742745	+	0.275007i
$95$	2.16975	−	1.25271i	0.222612	−	0.128525i
$96$	−0.243492	+	9.79493i	−0.0248513	+	0.999691i
$97$	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	$0.254052\pi$
$98$	−9.89631	+	0.251133i	−0.999678	+	0.0253683i
$99$	8.11641	+	0.565784i	0.815730	+	0.0568635i
$100$	−0.0179556	−	4.51404i	−0.00179556	−	0.451404i
$101$			2.82019i			0.280620i	0.990108	+	0.140310i	$0.0448099\pi$
$101$			2.82019i			0.280620i	−0.990108	+	0.140310i	$0.955190\pi$
$102$	−4.27660	+	6.87605i	−0.423447	+	0.680830i
$103$	−1.59461			−0.157121			−0.0785607	−	0.996909i	$-0.525032\pi$
$103$	−1.59461			−0.157121			−0.0785607	+	0.996909i	$0.525032\pi$
$104$	3.67898	+	13.4096i	0.360753	+	1.31492i
$105$	2.74163	+	7.07712i	0.267556	+	0.690657i
$106$	3.84111	+	14.2220i	0.373081	+	1.38136i
$107$	4.75730	−	2.74663i	0.459906	−	0.265527i	−0.252099	−	0.967701i	$-0.581121\pi$
$107$	4.75730	−	2.74663i	0.459906	−	0.265527i	0.712005	+	0.702175i	$0.247787\pi$
$108$	8.04812	−	6.57478i	0.774431	−	0.632659i
$109$	−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	$0.940403\pi$
$110$	−4.48270	+	4.50057i	−0.427409	+	0.429112i
$111$	−14.7783	−	4.51641i	−1.40269	−	0.428679i
$112$	−9.85510	−	3.85708i	−0.931219	−	0.364460i
$113$	−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	$0.174488\pi$
$114$	3.26809	−	1.74648i	0.306085	−	0.163573i
$115$	6.59964			0.615420
$116$	12.6742	−	7.38481i	1.17677	−	0.685662i
$117$	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
$120$	−0.233896	+	8.11027i	−0.0213517	+	0.740363i
$121$	3.64487			0.331352
$122$	15.4414	−	4.17043i	1.39800	−	0.377573i
$123$	1.71396	−	0.395895i	0.154543	−	0.0356966i
$124$	−10.9129	+	6.35859i	−0.980010	+	0.571018i
$125$		−	12.0190i		−	1.07501i
$126$	3.70932	+	10.5944i	0.330452	+	0.943823i
$127$			8.34549i			0.740543i	0.928924	+	0.370271i	$0.120735\pi$
$127$			8.34549i			0.740543i	−0.928924	+	0.370271i	$0.879265\pi$
$128$	−8.11060	−	7.88785i	−0.716882	−	0.697194i
$129$	−3.32595	+	10.8829i	−0.292833	+	0.958187i
$130$	3.00235	+	11.1164i	0.263323	+	0.974976i
$131$	−17.1379			−1.49735			−0.748673	−	0.662939i	$-0.769309\pi$
$131$	−17.1379			−1.49735			−0.748673	+	0.662939i	$0.769309\pi$
$132$	−6.84466	+	6.43523i	−0.595751	+	0.560115i
$133$	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
$136$	−2.47385	−	9.01698i	−0.212131	−	0.773200i
$137$	−0.149851			−0.0128026			−0.00640130	−	0.999980i	$-0.502038\pi$
$137$	−0.149851			−0.0128026			−0.00640130	+	0.999980i	$0.502038\pi$
$138$	9.75556	+	0.320187i	0.830448	+	0.0272561i
$139$	−6.06467	+	10.5043i	−0.514399	+	0.890965i	0.485462	+	0.874258i	$0.338651\pi$
$139$	−6.06467	+	10.5043i	−0.514399	+	0.890965i	−0.999860	+	0.0167067i	$0.994682\pi$
$140$	−8.14819	−	3.22646i	−0.688647	−	0.272686i
$141$	0.761263	+	3.29576i	0.0641099	+	0.277553i
$142$	2.11459	+	2.10620i	0.177453	+	0.176748i
$143$	−6.66644	+	11.5466i	−0.557476	+	0.965577i
$144$	−0.739221	+	11.9772i	−0.0616017	+	0.998101i
$145$	10.5197	−	6.07352i	0.873609	−	0.504379i
$146$	7.19468	−	1.94315i	0.595436	−	0.160816i
$147$	−12.1236	−	0.138408i	−0.999935	−	0.0114157i
$148$	15.4174	−	8.98318i	1.26730	−	0.738413i
$149$	16.5524			1.35602			0.678012	−	0.735051i	$-0.262842\pi$
$149$	16.5524			1.35602			0.678012	+	0.735051i	$0.262842\pi$
$150$	0.181356	−	5.52561i	0.0148077	−	0.451164i
$151$		−	16.9979i		−	1.38327i	−0.722248	−	0.691634i	$-0.756891\pi$
$151$		−	16.9979i		−	1.38327i	0.722248	−	0.691634i	$-0.243109\pi$
$152$	−1.08274	+	4.13947i	−0.0878216	+	0.335755i
$153$	−5.54393	+	8.22307i	−0.448200	+	0.664796i
$154$	−4.01116	−	9.32107i	−0.323229	−	0.751113i
$155$	−9.05781	+	5.22953i	−0.727541	+	0.420046i
$156$	3.89873	+	16.5779i	0.312149	+	1.32730i
$157$	−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	$0.539390\pi$
$158$	20.7643	−	5.60805i	1.65192	−	0.446153i
$159$	4.06057	+	17.5796i	0.322024	+	1.39415i
$160$	−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	$-0.741199\pi$
$163$	−5.13064	+	2.96218i	−0.401863	+	0.232015i	0.285425	+	0.958401i	$0.407865\pi$
$164$	−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	$-0.612727\pi$
$167$	8.25628	−	14.3003i	0.638890	−	1.10659i	0.985677	−	0.168646i	$-0.0539394\pi$
$168$	−11.8881	−	5.16466i	−0.917185	−	0.398462i
$169$	5.58448	+	9.67261i	0.429576	+	0.744047i
$170$	−2.01886	−	7.47500i	−0.154840	−	0.573307i
$171$	4.07854	−	1.99033i	0.311894	−	0.152205i
$172$	−6.61534	−	11.3536i	−0.504415	−	0.865701i
$173$	−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	$0.878223\pi$
$174$	15.8448	−	8.46748i	1.20119	−	0.641918i
$175$	5.54334	+	2.22056i	0.419037	+	0.167859i
$176$	−0.0863005	−	10.8478i	−0.00650514	−	0.817683i
$177$	−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	0.944565	−	0.328324i	$-0.106484\pi$
$179$	15.1520	+	8.74799i	1.13251	+	0.653855i	0.187945	+	0.982180i	$0.439817\pi$
$180$	−0.651592	+	9.91575i	−0.0485668	+	0.739076i
$181$		−	9.17571i		−	0.682025i	−0.940059	−	0.341013i	$-0.889230\pi$
$181$		−	9.17571i		−	0.682025i	0.940059	−	0.341013i	$-0.110770\pi$
$182$	−18.2685	−	2.15129i	−1.35415	−	0.159464i
$183$	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
$186$	−13.6429	+	7.29082i	−1.00035	+	0.534589i
$187$	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	0.476439	−	0.879208i	$-0.341927\pi$
$191$	−0.646208	−	0.373088i	−0.0467579	−	0.0269957i	−0.523197	+	0.852212i	$0.675261\pi$
$192$	−9.57139	−	10.0194i	−0.690755	−	0.723089i
$193$	−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
$196$	9.62498	−	10.1666i	0.687498	−	0.726186i
$197$	−12.9993			−0.926162			−0.463081	−	0.886316i	$-0.653256\pi$
$197$	−12.9993			−0.926162			−0.463081	+	0.886316i	$0.653256\pi$
$198$	−8.66716	+	7.56787i	−0.615948	+	0.537825i
$199$	4.92545	−	8.53113i	0.349156	−	0.604756i	−0.636944	−	0.770910i	$-0.719802\pi$
$199$	4.92545	−	8.53113i	0.349156	−	0.604756i	0.986100	+	0.166154i	$0.0531350\pi$
$200$	4.54093	+	4.48706i	0.321092	+	0.317283i
$201$	2.14278	−	7.01144i	0.151140	−	0.494549i
$202$	−2.82580	−	2.81458i	−0.198822	−	0.198033i
$203$	2.75758	+	19.2079i	0.193544	+	1.34813i
$204$	−2.62162	−	11.1475i	−0.183550	−	0.780478i
$205$	−0.841022	+	1.45669i	−0.0587395	+	0.101740i
$206$	1.59143	−	1.59778i	0.110880	−	0.111322i
$207$	11.9256	+	0.831316i	0.828884	+	0.0577805i
$208$	−17.1079	−	9.69660i	−1.18622	−	0.672338i
$209$	−3.55300	+	2.05133i	−0.245766	+	0.141893i
$210$	−9.82736	−	4.31595i	−0.678152	−	0.297829i
$211$	−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	$0.968259\pi$
$212$	−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
$216$	−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
$219$	8.89321	−	2.05418i	0.600947	−	0.138808i
$220$	−0.0357328	−	8.98321i	−0.00240910	−	0.605648i
$221$	−8.12595	−	14.0746i	−0.546610	−	0.946757i
$222$	19.2742	−	10.3002i	1.29360	−	0.691304i
$223$	2.37545	+	4.11440i	0.159072	+	0.275520i	0.934534	−	0.355873i	$-0.115817\pi$
$223$	2.37545	+	4.11440i	0.159072	+	0.275520i	−0.775462	+	0.631394i	$0.782483\pi$
$224$	13.7002	−	6.02528i	0.915384	−	0.402581i
$225$	0.470863	−	6.75472i	0.0313908	−	0.450314i
$226$	−0.192600	−	0.713117i	−0.0128116	−	0.0474358i
$227$	27.6838			1.83744			0.918720	−	0.394909i	$-0.129224\pi$
$227$	27.6838			1.83744			0.918720	+	0.394909i	$0.129224\pi$
$228$	−1.51164	+	5.01759i	−0.100111	+	0.332298i
$229$		−	10.1211i		−	0.668820i	−0.942428	−	0.334410i	$-0.891463\pi$
$229$		−	10.1211i		−	0.668820i	0.942428	−	0.334410i	$-0.108537\pi$
$230$	−6.58650	+	6.61276i	−0.434301	+	0.436032i
$231$	−4.48947	−	11.5889i	−0.295385	−	0.762493i
$232$	−5.24945	+	20.0694i	−0.344643	+	1.31762i
$233$	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	$0.687502\pi$
$234$	4.02498	+	20.4656i	0.263121	+	1.33788i
$235$	−2.80106	−	1.61719i	−0.182721	−	0.105494i
$236$	11.2423	−	6.55053i	0.731814	−	0.426403i
$237$	25.6663	−	5.92847i	1.66721	−	0.385096i
$238$	12.2842	+	1.44659i	0.796269	+	0.0937684i
$239$	−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	$0.966250\pi$
$240$	−7.89295	−	8.32848i	−0.509488	−	0.537601i
$241$		−	10.4414i		−	0.672592i	−0.941756	−	0.336296i	$-0.890826\pi$
$241$		−	10.4414i		−	0.672592i	0.941756	−	0.336296i	$-0.109174\pi$
$242$	−3.63761	+	3.65211i	−0.233835	+	0.234767i
$243$	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
$246$	−1.31387	+	2.11247i	−0.0837691	+	0.134686i
$247$			7.43701i			0.473206i
$248$	4.51997	−	17.2805i	0.287019	−	1.09732i
$249$	24.1958	+	7.39452i	1.53334	+	0.468608i
$250$	12.0429	+	11.9951i	0.761660	+	0.758637i
$251$	4.59012			0.289726			0.144863	−	0.989452i	$-0.453726\pi$
$251$	4.59012			0.289726			0.144863	+	0.989452i	$0.453726\pi$
$252$	−14.3174	−	6.85660i	−0.901909	−	0.431925i
$253$	−10.8070			−0.679431
$254$	−8.36208	−	8.32888i	−0.524683	−	0.522600i
$255$	−2.13421	−	9.23972i	−0.133650	−	0.578613i
$256$	15.9980	−	0.254562i	0.999873	−	0.0159102i
$257$			26.2056i			1.63466i	0.576169	+	0.817331i	$0.304547\pi$
$257$			26.2056i			1.63466i	−0.576169	+	0.817331i	$0.695453\pi$
$258$	−7.58520	−	14.1938i	−0.472234	−	0.883667i
$259$	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
$262$	17.1038	−	17.1720i	1.05668	−	1.06089i
$263$			5.93356i			0.365879i	0.983124	+	0.182939i	$0.0585612\pi$
$263$			5.93356i			0.365879i	−0.983124	+	0.182939i	$0.941439\pi$
$264$	0.383008	−	13.2807i	0.0235725	−	0.817369i
$265$	−14.9408	−	8.62610i	−0.917809	−	0.529897i
$266$	−4.53727	−	3.38397i	−0.278198	−	0.207485i
$267$	−2.69874	+	8.83060i	−0.165160	+	0.540424i
$268$	4.26201	+	7.31466i	0.260343	+	0.446814i
$269$	−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	$0.683448\pi$
$270$	−1.24414	+	12.1067i	−0.0757161	+	0.736790i
$271$	−3.37150	−	5.83961i	−0.204804	−	0.354731i	0.745266	−	0.666767i	$-0.232322\pi$
$271$	−3.37150	−	5.83961i	−0.204804	−	0.354731i	−0.950070	+	0.312036i	$0.898989\pi$
$272$	11.5038	+	6.52026i	0.697521	+	0.395349i
$273$	−22.2622	−	3.45589i	−1.34737	−	0.209160i
$274$	0.149552	−	0.150148i	0.00903478	−	0.00907079i
$275$			6.12116i			0.369120i
$276$	−10.0570	+	9.45539i	−0.605358	+	0.569148i
$277$	−7.06046			−0.424222			−0.212111	−	0.977246i	$-0.568034\pi$
$277$	−7.06046			−0.424222			−0.212111	+	0.977246i	$0.568034\pi$
$278$	−4.47259	−	16.5601i	−0.268248	−	0.993210i
$279$	−17.0262	+	8.30881i	−1.01933	+	0.497436i
$280$	11.3648	−	4.94433i	0.679179	−	0.295480i
$281$	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	$0.817852\pi$
$282$	−4.06205	−	2.52642i	−0.241892	−	0.150446i
$283$	12.5514	+	21.7396i	0.746101	+	1.29228i	0.949679	+	0.313226i	$0.101410\pi$
$283$	12.5514	+	21.7396i	0.746101	+	1.29228i	−0.203578	+	0.979059i	$0.565257\pi$
$284$	−4.22077	+	0.0167891i	−0.250457	+	0.000996248i
$285$	−1.26830	+	4.15003i	−0.0751275	+	0.245826i
$286$	−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
$290$	−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	$0.872366\pi$
$294$	12.2381	−	12.0095i	0.713741	−	0.700410i
$295$	9.33122	−	5.38738i	0.543285	−	0.313666i
$296$	−6.38565	+	24.4133i	−0.371159	+	1.41899i
$297$	−10.9488	+	8.87204i	−0.635312	+	0.514808i
$298$	−16.5194	+	16.5853i	−0.956945	+	0.960759i
$299$	−9.79511	+	16.9656i	−0.566466	+	0.981148i
$300$	5.35560	+	5.69633i	0.309205	+	0.328878i
$301$	17.2065	−	2.47025i	0.991766	−	0.142383i
$302$	17.0316	+	16.9640i	0.980061	+	0.976171i
$303$	−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
$306$	−2.70651	−	13.7616i	−0.154721	−	0.786701i
$307$	28.7340			1.63993			0.819967	−	0.572410i	$-0.193992\pi$
$307$	28.7340			1.63993			0.819967	+	0.572410i	$0.193992\pi$
$308$	13.3428	+	5.28338i	0.760275	+	0.301049i
$309$	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	0.973907	−	0.226947i	$-0.0728743\pi$
$311$	5.12147	+	8.87065i	0.290412	+	0.503008i	−0.683495	+	0.729955i	$0.739541\pi$
$312$	−20.5018	−	12.6384i	−1.16069	−	0.715511i
$313$	−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	$0.298545\pi$
$318$	−21.6670	−	13.4759i	−1.21502	−	0.755693i
$319$	−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
$322$	−5.89367	−	13.6956i	−0.328441	−	0.763226i
$323$		−	5.00086i		−	0.278255i
$324$	−2.42645	+	17.8357i	−0.134803	+	0.990872i
$325$	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
$328$	−0.760021	−	2.77021i	−0.0419651	−	0.152959i
$329$	4.06213	−	3.19312i	0.223953	−	0.176043i
$330$	0.360910	−	10.9963i	0.0198674	−	0.605327i
$331$	−12.1038	−	6.98811i	−0.665283	−	0.384101i	0.129004	−	0.991644i	$-0.458822\pi$
$331$	−12.1038	−	6.98811i	−0.665283	−	0.384101i	−0.794287	+	0.607543i	$0.792155\pi$
$332$	−25.2422	+	14.7078i	−1.38534	+	0.807193i
$333$	24.0540	−	11.7384i	1.31815	−	0.643259i
$334$	6.08886	+	22.5445i	0.333168	+	1.23358i
$335$	3.50522	+	6.07123i	0.191511	+	0.331706i
$336$	17.0393	−	6.75732i	0.929572	−	0.368642i
$337$	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
$342$	−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
$345$	−8.35920	+	7.79677i	−0.450044	+	0.419764i
$346$	22.1512	−	5.98265i	1.19086	−	0.321629i
$347$	15.2540	−	8.80693i	0.818880	−	0.472781i	−0.0311501	−	0.999515i	$-0.509917\pi$
$347$	15.2540	−	8.80693i	0.818880	−	0.472781i	0.850030	+	0.526734i	$0.176584\pi$
$348$	−7.32891	+	24.3269i	−0.392871	+	1.30406i
$349$	−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	$0.600187\pi$
$350$	−7.75727	+	3.33821i	−0.414644	+	0.178435i
$351$	4.00438	+	25.2295i	0.213738	+	1.34665i
$352$	10.9555	+	10.7397i	0.583929	+	0.572429i
$353$			20.3353i			1.08234i	0.840913	+	0.541170i	$0.182019\pi$
$353$			20.3353i			1.08234i	−0.840913	+	0.541170i	$0.817981\pi$
$354$	14.0547	−	7.51089i	0.747001	−	0.399199i
$355$	−3.49522			−0.185507
$356$	−5.36781	−	9.21250i	−0.284493	−	0.488261i
$357$	14.9697	+	2.32384i	0.792282	+	0.122991i
$358$	−23.8872	+	6.45149i	−1.26248	+	0.340972i
$359$	9.00180	−	5.19719i	0.475097	−	0.274297i	−0.243274	−	0.969958i	$-0.578221\pi$
$359$	9.00180	−	5.19719i	0.475097	−	0.274297i	0.718371	+	0.695660i	$0.244888\pi$
$360$	−9.28516	−	10.5489i	−0.489371	−	0.555976i
$361$	8.35578	−	14.4726i	0.439778	−	0.761718i
$362$	9.19394	+	9.15744i	0.483223	+	0.481305i
$363$	−4.61664	+	4.30603i	−0.242311	+	0.226008i
$364$	20.3877	−	16.1578i	1.06860	−	0.846897i
$365$	−4.36380	+	7.55833i	−0.228412	+	0.395621i
$366$	−14.6313	+	23.5247i	−0.764791	+	1.22965i
$367$	−12.4367			−0.649191			−0.324596	−	0.945853i	$-0.605228\pi$
$367$	−12.4367			−0.649191			−0.324596	+	0.945853i	$0.605228\pi$
$368$	−0.126803	−	15.9388i	−0.00661005	−	0.830869i
$369$	−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
$372$	6.31046	−	20.9463i	0.327182	−	1.08602i
$373$	7.04843			0.364954			0.182477	−	0.983210i	$-0.441589\pi$
$373$	7.04843			0.364954			0.182477	+	0.983210i	$0.441589\pi$
$374$	3.30592	+	12.2404i	0.170945	+	0.632937i
$375$	14.1992	+	15.2235i	0.733243	+	0.786136i
$376$	5.32682	−	1.46144i	0.274710	−	0.0753678i
$377$			36.0570i			1.85703i
$378$	−17.2144	−	9.03683i	−0.885414	−	0.464804i
$379$		−	5.49479i		−	0.282248i	−0.989992	−	0.141124i	$-0.954928\pi$
$379$		−	5.49479i		−	0.282248i	0.989992	−	0.141124i	$-0.0450717\pi$
$380$	−2.52266	−	4.32951i	−0.129410	−	0.222099i
$381$	−9.85931	−	10.5705i	−0.505108	−	0.541544i
$382$	1.01875	−	0.275146i	0.0521238	−	0.0140777i
$383$	29.8614			1.52585			0.762923	−	0.646489i	$-0.223763\pi$
$383$	29.8614			1.52585			0.762923	+	0.646489i	$0.223763\pi$
$384$	19.5916	+	0.409057i	0.999782	+	0.0208746i
$385$	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
$388$	−4.88898	−	8.39070i	−0.248200	−	0.425973i
$389$	−3.71937			−0.188580			−0.0942899	−	0.995545i	$-0.530058\pi$
$389$	−3.71937			−0.188580			−0.0942899	+	0.995545i	$0.530058\pi$
$390$	−16.9357	−	10.5333i	−0.857572	−	0.533373i
$391$	6.58651	−	11.4082i	0.333094	−	0.576936i
$392$	0.580991	+	19.7905i	0.0293445	+	0.999569i
$393$	21.7071	−	20.2466i	1.09498	−	1.02131i
$394$	12.9734	−	13.0251i	0.653591	−	0.656196i
$395$	−12.5942	+	21.8138i	−0.633682	+	1.09757i
$396$	1.06699	−	16.2372i	0.0536183	−	0.815949i
$397$	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	$0.180884\pi$
$398$	3.63244	+	13.4494i	0.182078	+	0.674157i
$399$	−5.40081	−	4.34608i	−0.270379	−	0.217576i
$400$	−9.02786	+	0.0718219i	−0.451393	+	0.00359109i
$401$	−24.0311			−1.20006			−0.600029	−	0.799978i	$-0.704844\pi$
$401$	−24.0311			−1.20006			−0.600029	+	0.799978i	$0.704844\pi$
$402$	4.88685	+	9.14452i	0.243734	+	0.456087i
$403$		−	31.0464i		−	1.54653i
$404$	5.64035	−	0.0224358i	0.280618	−	0.00111622i
$405$	−2.06807	+	14.7615i	−0.102763	+	0.733507i
$406$	−21.9981	−	16.4066i	−1.09175	−	0.814245i
$407$	−20.9545	+	12.0981i	−1.03868	+	0.599680i
$408$	13.7860	+	8.49844i	0.682509	+	0.420735i
$409$	−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	$0.359457\pi$
$410$	−0.620239	−	2.29649i	−0.0306314	−	0.113415i
$411$	0.189803	−	0.177032i	0.00936228	−	0.00873237i
$412$	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
$416$	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	−0.835309	−	0.549781i	$-0.814711\pi$
$419$	1.19685	−	2.07300i	0.0584698	−	0.101273i	0.893779	+	0.448508i	$0.148045\pi$
$420$	14.1323	−	5.53953i	0.689587	−	0.270301i
$421$	−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	$0.884298\pi$
$422$	32.2051	−	8.69802i	1.56772	−	0.423413i
$423$	−4.85781	−	3.27510i	−0.236195	−	0.159241i
$424$	28.4132	−	7.79530i	1.37987	−	0.378573i
$425$	−6.46166	−	3.73064i	−0.313436	−	0.180963i
$426$	−5.16662	−	0.169574i	−0.250324	−	0.00821588i
$427$	−18.4924	−	23.5251i	−0.894910	−	1.13846i
$428$	−5.53106	−	9.49268i	−0.267354	−	0.458846i
$429$	−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	−0.0418066	−	0.999126i	$-0.513311\pi$
$431$	−19.2653	−	11.1228i	−0.927978	−	0.535768i	−0.886172	+	0.463357i	$0.846645\pi$
$432$	−13.2135	−	16.0438i	−0.635734	−	0.771908i
$433$		−	5.03561i		−	0.241996i	−0.992653	−	0.120998i	$-0.961391\pi$
$433$		−	5.03561i		−	0.241996i	0.992653	−	0.120998i	$-0.0386094\pi$
$434$	18.9412	+	14.1267i	0.909207	+	0.678102i
$435$	−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
$438$	−6.81725	+	10.9610i	−0.325741	+	0.523735i
$439$	−8.22957	+	14.2540i	−0.392776	+	0.680308i	−0.992815	−	0.119663i	$-0.961818\pi$
$439$	−8.22957	+	14.2540i	−0.392776	+	0.680308i	0.600039	+	0.799971i	$0.295152\pi$
$440$	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	0.937032	−	0.349243i	$-0.113561\pi$
$443$	23.2175	+	13.4046i	1.10310	+	0.636872i	0.166063	+	0.986115i	$0.446895\pi$
$444$	−8.91519	+	29.5922i	−0.423096	+	1.40438i
$445$	−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
$448$	−7.63570	+	19.7407i	−0.360753	+	0.932661i
$449$	−7.27030			−0.343107			−0.171553	−	0.985175i	$-0.554879\pi$
$449$	−7.27030			−0.343107			−0.171553	+	0.985175i	$0.554879\pi$
$450$	6.29821	+	7.21307i	0.296901	+	0.340027i
$451$	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
$454$	−27.6287	+	27.7388i	−1.29668	+	1.30185i
$455$	16.9360	−	13.3129i	0.793973	−	0.624119i
$456$	−3.51893	−	6.52224i	−0.164789	−	0.305432i
$457$	−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	$0.235588\pi$
$458$	10.1412	+	10.1009i	0.473867	+	0.471986i
$459$	−2.69266	−	16.9650i	−0.125682	−	0.791859i
$460$	−0.0525027	−	13.1992i	−0.00244795	−	0.615415i
$461$	−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	$0.512206\pi$
$462$	16.0924	+	7.06743i	0.748688	+	0.328807i
$463$	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	$0.589352\pi$
$464$	−14.8703	−	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	0.814499	−	0.580165i	$-0.197012\pi$
$467$	−2.05702	−	3.56287i	−0.0951876	−	0.164870i	−0.909687	+	0.415295i	$0.863678\pi$
$468$	−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
$471$	7.65051	−	25.0334i	0.352517	−	1.15348i
$472$	−4.65641	+	17.8022i	−0.214329	+	0.819411i
$473$	8.90920	+	15.4312i	0.409646	+	0.709527i
$474$	−19.6750	+	31.6340i	−0.903701	+	1.45300i
$475$	1.70718	+	2.95691i	0.0783306	+	0.135673i
$476$	−13.7092	+	10.8649i	−0.628362	+	0.497994i
$477$	−25.9116	−	17.4694i	−1.18641	−	0.799868i
$478$	34.1192	−	9.21499i	1.56058	−	0.421484i
$479$	−8.71796			−0.398334			−0.199167	−	0.979966i	$-0.563824\pi$
$479$	−8.71796			−0.398334			−0.199167	+	0.979966i	$0.563824\pi$
$480$	16.2223	+	0.403268i	0.740442	+	0.0184066i
$481$			43.8612i			1.99990i
$482$	10.4622	+	10.4206i	0.476539	+	0.474648i
$483$	−6.59645	−	17.0277i	−0.300149	−	0.774789i
$484$	−0.0289964	−	7.28968i	−0.00131802	−	0.331349i
$485$	−4.02087	−	6.96434i	−0.182578	−	0.316235i
$486$	−3.77317	+	21.7201i	−0.171155	+	0.985244i
$487$	−29.6495	−	17.1181i	−1.34355	−	0.775697i	−0.356221	−	0.934402i	$-0.615935\pi$
$487$	−29.6495	−	17.1181i	−1.34355	−	0.775697i	−0.987326	+	0.158704i	$0.949268\pi$
$488$	−8.46364	−	30.8493i	−0.383131	−	1.39648i
$489$	2.99904	−	9.81323i	0.135621	−	0.443770i
$490$	0.415924	+	16.3902i	0.0187895	+	0.740432i
$491$	−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	$-0.690894\pi$
$492$	−0.805419	−	3.42475i	−0.0363111	−	0.154399i
$493$		−	24.2457i		−	1.09197i
$494$	−7.45179	−	7.42221i	−0.335272	−	0.333941i
$495$	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
$498$	−31.5568	+	16.8640i	−1.41409	+	0.755696i
$499$		−	15.5817i		−	0.697531i	−0.937210	−	0.348766i	$-0.886601\pi$
$499$		−	15.5817i		−	0.697531i	0.937210	−	0.348766i	$-0.113399\pi$
$500$	−24.0379	+	0.0956161i	−1.07501	+	0.00427608i
$501$	6.43675	+	27.8669i	0.287573	+	1.24500i
$502$	−4.58098	+	4.59924i	−0.204459	+	0.205274i
$503$	−9.03852			−0.403008			−0.201504	−	0.979488i	$-0.564583\pi$
$503$	−9.03852			−0.403008			−0.201504	+	0.979488i	$0.564583\pi$
$504$	21.1591	−	7.50286i	0.942501	−	0.334204i
$505$	4.67078			0.207847
$506$	10.7855	−	10.8285i	0.479474	−	0.481385i
$507$	−18.5005	−	5.65399i	−0.821638	−	0.251102i
$508$	16.6909	−	0.0663917i	0.740537	−	0.00294565i
$509$		−	15.0676i		−	0.667858i	−0.942598	−	0.333929i	$-0.891625\pi$
$509$		−	15.0676i		−	0.667858i	0.942598	−	0.333929i	$-0.108375\pi$
$510$	11.3880	+	7.08287i	0.504271	+	0.313635i
$511$	−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
$514$	−26.2577	−	26.1534i	−1.15818	−	1.15358i
$515$			2.64097i			0.116375i
$516$	21.7921	+	6.56526i	0.959344	+	0.289020i
$517$	4.58678	+	2.64818i	0.201726	+	0.116467i
$518$	−26.7595	−	19.9577i	−1.17574	−	0.876889i
$519$	27.3808	−	6.32448i	1.20188	−	0.277614i
$520$	22.2088	−	6.09308i	0.973921	−	0.267199i
$521$	−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	$0.741794\pi$
$522$	−10.0658	+	29.4439i	−0.440566	+	1.28873i
$523$	5.88205	+	10.1880i	0.257204	+	0.445490i	0.965492	−	0.260433i	$-0.0838654\pi$
$523$	5.88205	+	10.1880i	0.257204	+	0.445490i	−0.708288	+	0.705924i	$0.750532\pi$
$524$	0.136339	+	34.2756i	0.00595599	+	1.49733i
$525$	−9.64462	+	3.73627i	−0.420926	+	0.163064i
$526$	−5.94535	−	5.92175i	−0.259229	−	0.258200i
$527$			20.8765i			0.909394i
$528$	12.9248	+	13.6380i	0.562481	+	0.593518i
$529$	7.12109			0.309612
$530$	23.5543	−	6.36160i	1.02314	−	0.276330i
$531$	17.5402	−	8.55962i	0.761178	−	0.371456i
$532$	7.91894	−	1.16905i	0.343329	−	0.0506847i
$533$	−2.49647	−	4.32401i	−0.108134	−	0.187294i
$534$	−6.15478	−	11.5171i	−0.266343	−	0.498394i
$535$	−4.54894	−	7.87900i	−0.196668	−	0.340639i
$536$	−11.5827	−	3.02963i	−0.500297	−	0.130860i
$537$	−29.5265	+	6.82010i	−1.27416	+	0.294309i
$538$	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	0.979361	−	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
$546$	25.6806	−	18.8574i	1.09903	−	0.807023i
$547$	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	$0.0863349\pi$
$548$	0.00119212	+	0.299699i	5.09248e−5	+	0.0128025i
$549$	−18.9672	+	28.1331i	−0.809499	+	1.20069i
$550$	−6.13332	−	6.10897i	−0.261526	−	0.260487i
$551$	−5.54754	+	9.60862i	−0.236333	+	0.409341i
$552$	0.562760	−	19.5135i	0.0239527	−	0.830550i
$553$	−24.8670	−	31.6346i	−1.05745	−	1.34524i
$554$	7.04640	−	7.07449i	0.299373	−	0.300566i
$555$	−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	$0.0608547\pi$
$558$	8.66699	−	25.3523i	0.366903	−	1.07325i
$559$	32.3000			1.36614
$560$	−6.38806	+	16.3219i	−0.269945	+	0.689727i
$561$	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	$-0.940222\pi$
$563$	−15.4916	−	26.8322i	−0.652893	−	1.13084i	0.329524	−	0.944147i	$-0.393112\pi$
$564$	6.58541	−	1.54873i	0.277296	−	0.0652134i
$565$	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	$-0.128970\pi$
$570$	−2.89250	−	5.41258i	−0.121153	−	0.226708i
$571$	8.83407	−	5.10035i	0.369694	−	0.213443i	−0.303631	−	0.952790i	$-0.598199\pi$
$571$	8.83407	−	5.10035i	0.369694	−	0.213443i	0.673325	+	0.739347i	$0.264866\pi$
$572$	23.1461	+	13.2409i	0.967787	+	0.553631i
$573$	1.25926	−	0.290867i	0.0526063	−	0.0121511i
$574$	3.77399	+	0.444424i	0.157523	+	0.0185499i
$575$			8.99392i			0.375072i
$576$	23.9601	+	1.38315i	0.998338	+	0.0576311i
$577$	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
$580$	−12.2306	−	20.9908i	−0.507850	−	0.871596i
$581$	−5.49207	−	38.2549i	−0.227849	−	1.58708i
$582$	−5.60574	−	10.4897i	−0.232366	−	0.434813i
$583$	24.4658	+	14.1254i	1.01327	+	0.585013i
$584$	−3.94351	−	14.3738i	−0.163184	−	0.594791i
$585$	−20.2534	−	13.6547i	−0.837375	−	0.564552i
$586$	28.1458	−	7.60167i	1.16269	−	0.314022i
$587$	−17.3247	−	30.0073i	−0.715067	−	1.23853i	−0.962934	−	0.269738i	$-0.913063\pi$
$587$	−17.3247	−	30.0073i	−0.715067	−	1.23853i	0.247867	−	0.968794i	$-0.420271\pi$
$588$	−0.180366	+	24.2480i	−0.00743816	+	0.999972i
$589$	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	$0.299855\pi$
$594$	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
$597$	3.83998	+	16.6245i	0.157160	+	0.680397i
$598$	−7.22373	−	26.7464i	−0.295400	−	1.09374i
$599$	−20.1606	+	11.6397i	−0.823739	+	0.475586i	−0.851704	−	0.524023i	$-0.824431\pi$
$599$	−20.1606	+	11.6397i	−0.823739	+	0.475586i	0.0279654	+	0.999609i	$0.491097\pi$
$600$	−11.0526	−	0.318751i	−0.451220	−	0.0130130i
$601$	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	$0.0216941\pi$
$602$	−14.6971	+	19.7060i	−0.599008	+	0.803157i
$603$	5.56919	+	11.4122i	0.226795	+	0.464743i
$604$	−33.9955	+	0.135225i	−1.38326	+	0.00550222i
$605$		−	6.03660i		−	0.245423i
$606$	6.90432	+	0.226607i	0.280469	+	0.00920527i
$607$	5.34683			0.217021			0.108511	−	0.994095i	$-0.465392\pi$
$607$	5.34683			0.217021			0.108511	+	0.994095i	$0.465392\pi$
$608$	8.28748	+	2.13253i	0.336102	+	0.0864853i
$609$	−26.1849	−	21.0712i	−1.06106	−	0.853847i
$610$	−6.90703	−	25.5738i	−0.279657	−	1.03545i
$611$	8.31460	−	4.80044i	0.336373	−	0.194205i
$612$	16.4901	+	11.0224i	0.666573	+	0.445553i
$613$	−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	$0.836757\pi$
$614$	−28.6768	+	28.7911i	−1.15730	+	1.16191i
$615$	−0.655677	−	2.83864i	−0.0264395	−	0.114465i
$616$	−18.6101	+	8.09642i	−0.749822	+	0.326214i
$617$	−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	$0.206585\pi$
$618$	−0.128129	+	3.90387i	−0.00515411	+	0.157037i
$619$	−3.83271			−0.154050			−0.0770249	−	0.997029i	$-0.524542\pi$
$619$	−3.83271			−0.154050			−0.0770249	+	0.997029i	$0.524542\pi$
$620$	10.5310	+	18.0739i	0.422937	+	0.725864i
$621$	−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
$624$	33.1246	−	7.92929i	1.32604	−	0.317426i
$625$	−8.62061			−0.344824
$626$	0.146665	−	0.0396116i	0.00586191	−	0.00158320i
$627$	2.07686	−	6.79573i	0.0829417	−	0.271395i
$628$	15.2169	+	26.1160i	0.607221	+	1.04214i
$629$		−	29.4935i		−	1.17598i
$630$	17.5463	−	6.14334i	0.699062	−	0.244756i
$631$		−	31.3249i		−	1.24703i	−0.781813	−	0.623513i	$-0.785705\pi$
$631$		−	31.3249i		−	1.24703i	0.781813	−	0.623513i	$-0.214295\pi$
$632$	−11.3812	−	41.4836i	−0.452720	−	1.65013i
$633$	39.8082	−	9.19499i	1.58223	−	0.365468i
$634$	−5.28577	−	19.5710i	−0.209925	−	0.777263i
$635$	13.8217			0.548498
$636$	35.1266	−	8.26093i	1.39286	−	0.327567i
$637$	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
$640$	−13.0638	+	13.4327i	−0.516391	+	0.530974i
$641$	20.4112			0.806195			0.403097	−	0.915157i	$-0.367934\pi$
$641$	20.4112			0.806195			0.403097	+	0.915157i	$0.367934\pi$
$642$	−6.34197	−	11.8674i	−0.250297	−	0.468368i
$643$	−7.30287	+	12.6489i	−0.287997	+	0.498826i	−0.973332	−	0.229403i	$-0.926323\pi$
$643$	−7.30287	+	12.6489i	−0.287997	+	0.498826i	0.685334	+	0.728228i	$0.259656\pi$
$644$	19.6047	+	7.76296i	0.772535	+	0.305903i
$645$	18.0242	+	5.50840i	0.709701	+	0.216893i
$646$	5.01079	+	4.99090i	0.197147	+	0.196364i
$647$	16.1015	−	27.8887i	0.633017	−	1.09642i	−0.353915	−	0.935278i	$-0.615150\pi$
$647$	16.1015	−	27.8887i	0.633017	−	1.09642i	0.986932	−	0.161140i	$-0.0515170\pi$
$648$	−15.4495	−	20.2315i	−0.606914	−	0.794767i
$649$	−15.2800	+	8.82192i	−0.599793	+	0.346291i
$650$	−15.1493	+	4.09157i	−0.594206	+	0.160484i
$651$	22.5461	+	18.1431i	0.883653	+	0.711083i
$652$	5.96512	+	10.2376i	0.233612	+	0.400937i
$653$	−35.8205			−1.40177			−0.700883	−	0.713276i	$-0.747211\pi$
$653$	−35.8205			−1.40177			−0.700883	+	0.713276i	$0.747211\pi$
$654$	28.3375	+	17.6247i	1.10808	+	0.689181i
$655$			28.3836i			1.10904i
$656$	3.53423	+	2.00317i	0.137988	+	0.0782106i
$657$	−8.83747	+	13.1082i	−0.344783	+	0.511401i
$658$	−0.854578	+	7.25697i	−0.0333149	+	0.282906i
$659$	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	$0.330994\pi$
$660$	10.6580	+	11.3360i	0.414861	+	0.441255i
$661$	−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	$0.611196\pi$
$662$	19.0817	−	5.15361i	0.741630	−	0.200301i
$663$	26.9200	+	8.22708i	1.04549	+	0.319513i
$664$	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
$668$	−28.6660	−	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
$672$	−10.2347	+	23.8170i	−0.394811	+	0.918762i
$673$	−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	$-0.388501\pi$
$674$	6.25807	+	23.1710i	0.241052	+	0.892513i
$675$	7.38358	+	9.11189i	0.284194	+	0.350717i
$676$	19.3006	−	11.2458i	0.742332	−	0.432532i
$677$	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	$0.609292\pi$
$678$	1.08642	+	0.675707i	0.0417238	+	0.0259504i
$679$	12.7162	−	1.82561i	0.488004	−	0.0700604i
$680$	−14.9338	+	4.09716i	−0.572686	+	0.157119i
$681$	−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	0.529865	−	0.848082i	$-0.322242\pi$
$683$	1.57689	+	0.910416i	0.0603379	+	0.0348361i	−0.469528	+	0.882918i	$0.655576\pi$
$684$	−4.01308	−	8.14119i	−0.153444	−	0.311286i
$685$			0.248181i			0.00948251i
$686$	−24.5527	−	9.11959i	−0.937425	−	0.348188i
$687$	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
$690$	0.530291	−	16.1571i	0.0201878	−	0.615089i
$691$	−1.41258	+	2.44666i	−0.0537371	+	0.0930754i	−0.891643	−	0.452740i	$-0.850447\pi$
$691$	−1.41258	+	2.44666i	−0.0537371	+	0.0930754i	0.837906	+	0.545815i	$0.183780\pi$
$692$	−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
$696$	−17.0609	−	31.6219i	−0.646691	−	1.19863i
$697$	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
$700$	4.39699	−	11.1043i	0.166191	−	0.419701i
$701$	21.7145			0.820146			0.410073	−	0.912053i	$-0.365503\pi$
$701$	21.7145			0.820146			0.410073	+	0.912053i	$0.365503\pi$
$702$	−29.2760	−	21.1669i	−1.10495	−	0.798894i
$703$	−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
$706$	−20.3757	−	20.2949i	−0.766851	−	0.763807i
$707$	−2.77462	+	6.92647i	−0.104350	+	0.260497i
$708$	−6.50095	+	21.5786i	−0.244320	+	0.810974i
$709$	−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	$0.277849\pi$
$710$	3.48827	−	3.50217i	0.130912	−	0.131434i
$711$	−25.5055	+	37.8311i	−0.956529	+	1.41878i
$712$	14.5879	+	3.81568i	0.546706	+	0.142999i
$713$	21.7933	−	12.5824i	0.816167	−	0.471214i
$714$	−17.2684	+	12.6803i	−0.646253	+	0.474547i
$715$	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	0.883131	−	0.469126i	$-0.155431\pi$
$719$	0.946279	+	1.63900i	0.0352903	+	0.0611245i	−0.847841	+	0.530251i	$0.822098\pi$
$720$	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
$723$	12.3354	+	13.2253i	0.458760	+	0.491853i
$724$	−18.3513	+	0.0729964i	−0.682020	+	0.00271289i
$725$	8.27693	+	14.3361i	0.307397	+	0.532428i
$726$	0.292871	−	8.92327i	0.0108694	−	0.331174i
$727$	16.6125	+	28.7738i	0.616125	+	1.06716i	0.990186	+	0.139756i	$0.0446317\pi$
$727$	16.6125	+	28.7738i	0.616125	+	1.06716i	−0.374061	+	0.927404i	$0.622035\pi$
$728$	−4.15721	+	36.5538i	−0.154077	+	1.35477i
$729$	−5.59642	+	26.4136i	−0.207275	+	0.978283i
$730$	−3.21823	−	11.9157i	−0.119112	−	0.441022i
$731$	−21.7194			−0.803322
$732$	−8.96920	−	38.1382i	−0.331511	−	1.40963i
$733$			8.14686i			0.300911i	0.988617	+	0.150456i	$0.0480741\pi$
$733$			8.14686i			0.300911i	−0.988617	+	0.150456i	$0.951926\pi$
$734$	12.4120	−	12.4614i	0.458134	−	0.459960i
$735$	−0.229230	+	20.0789i	−0.00845527	+	0.740622i
$736$	16.0971	+	15.7801i	0.593345	+	0.581660i
$737$	−5.73985	−	9.94172i	−0.211430	−	0.366208i
$738$	−0.831499	−	4.22788i	−0.0306079	−	0.155630i
$739$	4.33522	+	2.50294i	0.159474	+	0.0920722i	0.577613	−	0.816311i	$-0.303984\pi$
$739$	4.33522	+	2.50294i	0.159474	+	0.0920722i	−0.418139	+	0.908383i	$0.637318\pi$
$740$	−14.8779	−	25.5341i	−0.546921	−	0.938652i
$741$	−8.78604	−	9.41982i	−0.322763	−	0.346046i
$742$	−4.55832	+	38.7086i	−0.167341	+	1.42104i
$743$	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	$0.497479\pi$
$744$	14.6901	+	27.2276i	0.538564	+	0.998214i
$745$		−	27.4139i		−	1.00437i
$746$	−7.03440	+	7.06243i	−0.257548	+	0.258574i
$747$	−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
$750$	−29.4246	−	0.965746i	−1.07444	−	0.0352641i
$751$			32.6889i			1.19284i	0.802674	+	0.596418i	$0.203410\pi$
$751$			32.6889i			1.19284i	−0.802674	+	0.596418i	$0.796590\pi$
$752$	−3.85187	+	6.79593i	−0.140463	+	0.247822i
$753$	−5.81391	+	5.42274i	−0.211871	+	0.197616i
$754$	−36.1286	−	35.9852i	−1.31573	−	1.31050i
$755$	−28.1517			−1.02455
$756$	26.2349	−	8.22977i	0.954155	−	0.299314i
$757$	−19.8021			−0.719720			−0.359860	−	0.933006i	$-0.617176\pi$
$757$	−19.8021			−0.719720			−0.359860	+	0.933006i	$0.617176\pi$
$758$	5.50571	+	5.48385i	0.199976	+	0.199182i
$759$	13.6883	−	12.7673i	0.496854	−	0.463425i
$760$	6.85574	+	1.79322i	0.248684	+	0.0650468i
$761$			47.3866i			1.71776i	0.512175	+	0.858881i	$0.328840\pi$
$761$			47.3866i			1.71776i	−0.512175	+	0.858881i	$0.671160\pi$
$762$	20.4312	+	0.670572i	0.740144	+	0.0242923i
$763$	−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
$766$	−29.8020	+	29.9207i	−1.07679	+	1.08108i
$767$			31.9836i			1.15486i
$768$	−19.9625	+	19.2223i	−0.720335	+	0.693626i
$769$	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	$0.332497\pi$
$770$	−15.4375	+	6.64325i	−0.556328	+	0.239406i
$771$	−30.9591	−	33.1924i	−1.11497	−	1.19539i
$772$	−9.10990	+	5.30803i	−0.327872	+	0.191040i
$773$	−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	$0.670018\pi$
$774$	26.3760	+	9.01695i	0.948065	+	0.324107i
$775$	−7.12674	−	12.3439i	−0.256000	−	0.443405i
$776$	13.2866	+	3.47530i	0.476962	+	0.124756i
$777$	−31.8523	−	25.6319i	−1.14270	−	0.919538i
$778$	3.71197	−	3.72676i	0.133081	−	0.133611i
$779$		−	1.53637i		−	0.0550463i
$780$	27.4562	−	6.45704i	0.983089	−	0.231199i
$781$	5.72348			0.204802
$782$	4.85744	+	17.9851i	0.173702	+	0.643144i
$783$	−13.6459	+	35.5835i	−0.487666	+	1.27165i
$784$	−20.4096	−	19.1689i	−0.728915	−	0.684604i
$785$	12.5149	+	21.6765i	0.446677	+	0.773667i
$786$	−1.37706	+	41.9565i	−0.0491180	+	1.49654i
$787$	0.614163	+	1.06376i	0.0218926	+	0.0379190i	0.876764	−	0.480921i	$-0.159697\pi$
$787$	0.614163	+	1.06376i	0.0218926	+	0.0379190i	−0.854872	+	0.518840i	$0.826364\pi$
$788$	0.103415	+	25.9984i	0.00368399	+	0.926154i
$789$	−7.00987	−	7.51553i	−0.249558	−	0.267560i
$790$	−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
$794$	−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	$0.598613\pi$
$798$	9.74478	−	1.07412i	0.344961	−	0.0380233i
$799$	−5.59097	+	3.22795i	−0.197794	+	0.114197i
$800$	8.93792	−	9.11747i	0.316003	−	0.322351i
$801$	−7.01415	−	14.3732i	−0.247833	−	0.507853i
$802$	23.9833	−	24.0789i	0.846880	−	0.850255i
$803$	7.14579	−	12.3769i	0.252169	−	0.436770i
$804$	−14.0398	−	4.22975i	−0.495146	−	0.149172i
$805$	16.2089	+	6.49299i	0.571288	+	0.228848i
$806$	31.1081	+	30.9846i	1.09574	+	1.09139i
$807$	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	$0.205258\pi$
$810$	−12.7269	−	16.8043i	−0.447179	−	0.590444i
$811$	−12.6994			−0.445938			−0.222969	−	0.974826i	$-0.571575\pi$
$811$	−12.6994			−0.445938			−0.222969	+	0.974826i	$0.571575\pi$
$812$	38.3935	−	5.66793i	1.34735	−	0.198905i
$813$	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
$816$	−22.2739	+	5.33188i	−0.779742	+	0.186653i
$817$	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	$-0.0795728\pi$
$822$	−0.0120407	+	0.366860i	−0.000419968	+	0.0127957i
$823$	30.7018	−	17.7257i	1.07020	−	0.617878i	0.141962	−	0.989872i	$-0.454659\pi$
$823$	30.7018	−	17.7257i	1.07020	−	0.617878i	0.928235	+	0.371994i	$0.121326\pi$
$824$	−3.20819	−	3.17013i	−0.111762	−	0.110437i
$825$	−7.23150	−	7.75314i	−0.251768	−	0.269930i
$826$	−19.5130	−	14.5531i	−0.678943	−	0.506367i
$827$			51.5618i			1.79298i	0.443064	+	0.896490i	$0.353891\pi$
$827$			51.5618i			1.79298i	−0.443064	+	0.896490i	$0.646109\pi$
$828$	1.56775	−	23.8576i	0.0544830	−	0.829107i
$829$	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
$832$	−19.2569	+	34.2926i	−0.667614	+	1.18888i
$833$	−6.51016	−	22.2059i	−0.225564	−	0.769388i
$834$	25.2291	+	15.6914i	0.873611	+	0.543348i
$835$	−23.6840	−	13.6740i	−0.819618	−	0.473207i
$836$	4.13089	+	7.08963i	0.142870	+	0.245200i
$837$	11.7497	−	30.6387i	0.406127	−	1.05903i
$838$	0.882654	+	3.26810i	0.0304908	+	0.112895i
$839$	3.71303	+	6.43115i	0.128188	+	0.222028i	0.922975	−	0.384861i	$-0.125751\pi$
$839$	3.71303	+	6.43115i	0.128188	+	0.222028i	−0.794787	+	0.606889i	$0.792417\pi$
$840$	−8.55366	+	19.6889i	−0.295129	+	0.679332i
$841$	−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
$846$	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
$849$	−41.5807	−	12.7076i	−1.42705	−	0.436123i
$850$	10.1868	−	2.75128i	0.349406	−	0.0943683i
$851$	−30.7888	+	17.7759i	−1.05543	+	0.609351i
$852$	5.32625	−	5.00765i	0.182474	−	0.171559i
$853$	−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	$0.389435\pi$
$854$	42.0274	+	4.94913i	1.43815	+	0.169356i
$855$	−3.29637	−	6.75484i	−0.112733	−	0.231011i
$856$	15.0316	+	3.93173i	0.513769	+	0.134384i
$857$		−	17.9263i		−	0.612351i	−0.951975	−	0.306175i	$-0.900951\pi$
$857$		−	17.9263i		−	0.612351i	0.951975	−	0.306175i	$-0.0990494\pi$
$858$	27.7324	+	17.2484i	0.946770	+	0.588850i
$859$	35.1511			1.19934			0.599670	−	0.800248i	$-0.295299\pi$
$859$	35.1511			1.19934			0.599670	+	0.800248i	$0.295299\pi$
$860$	−18.8037	+	10.9563i	−0.641199	+	0.373605i
$861$	4.59903	+	0.713934i	0.156734	+	0.0243308i
$862$	30.3719	−	8.20291i	1.03447	−	0.279392i
$863$	−13.3132	+	7.68639i	−0.453187	+	0.261648i	−0.709175	−	0.705032i	$-0.750932\pi$
$863$	−13.3132	+	7.68639i	−0.453187	+	0.261648i	0.255988	+	0.966680i	$0.417599\pi$
$864$	29.2629	+	2.77212i	0.995543	+	0.0943096i
$865$	−13.4354	+	23.2709i	−0.456819	+	0.791233i
$866$	5.04561	+	5.02558i	0.171457	+	0.170776i
$867$	10.0574	+	3.07367i	0.341568	+	0.104387i
$868$	−33.0583	+	4.88029i	−1.12207	+	0.165648i
$869$	20.6232	−	35.7204i	0.699593	−	1.21173i
$870$	−14.0238	−	26.2419i	−0.475450	−	0.889685i
$871$	−20.8096			−0.705108
$872$	−37.1607	+	10.1952i	−1.25842	+	0.345253i
$873$	−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
$876$	−4.17907	−	17.7699i	−0.141198	−	0.600391i
$877$	22.4040			0.756530			0.378265	−	0.925697i	$-0.376521\pi$
$877$	22.4040			0.756530			0.378265	+	0.925697i	$0.376521\pi$
$878$	−6.06916	−	22.4716i	−0.204824	−	0.758379i
$879$	34.7905	−	8.03599i	1.17345	−	0.271047i
$880$	−17.9660	+	0.142930i	−0.605634	+	0.00481817i
$881$		−	29.1250i		−	0.981247i	−0.871372	−	0.490624i	$-0.836769\pi$
$881$		−	29.1250i		−	0.981247i	0.871372	−	0.490624i	$-0.163231\pi$
$882$	−1.31299	+	29.6694i	−0.0442107	+	0.999022i
$883$		−	20.8057i		−	0.700168i	−0.936718	−	0.350084i	$-0.886153\pi$
$883$		−	20.8057i		−	0.700168i	0.936718	−	0.350084i	$-0.113847\pi$
$884$	−28.0842	+	16.3637i	−0.944575	+	0.550372i
$885$	−5.45443	+	17.8476i	−0.183349	+	0.599940i
$886$	−36.6025	+	9.88567i	−1.22968	+	0.332116i
$887$	−12.4673			−0.418609			−0.209305	−	0.977850i	$-0.567120\pi$
$887$	−12.4673			−0.418609			−0.209305	+	0.977850i	$0.567120\pi$
$888$	−20.7536	−	38.4662i	−0.696444	−	1.29084i
$889$	−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
$892$	8.20983	−	4.78359i	0.274886	−	0.160166i
$893$	2.95428			0.0988611
$894$	1.33001	−	40.5231i	0.0444821	−	1.35529i
$895$	14.4883	−	25.0945i	0.484291	−	0.838817i
$896$	−12.1594	−	27.3523i	−0.406219	−	0.913776i
$897$	−7.63646	−	33.0608i	−0.254974	−	1.10387i
$898$	7.25582	−	7.28474i	0.242130	−	0.243095i
$899$	23.1586	−	40.1120i	0.772384	−	1.33781i
$900$	−13.5131	−	0.887982i	−0.450436	−	0.0295994i
$901$	−29.8222	+	17.2179i	−0.993522	+	0.573610i
$902$	1.01565	+	3.76053i	0.0338175	+	0.125212i
$903$	−18.8756	+	23.4565i	−0.628142	+	0.780583i
$904$	−1.42469	+	0.390870i	−0.0473845	+	0.0130001i
$905$	−15.1967			−0.505156
$906$	−41.6137	−	1.36580i	−1.38252	−	0.0453758i
$907$			27.6338i			0.917564i	0.888549	+	0.458782i	$0.151714\pi$
$907$			27.6338i			0.917564i	−0.888549	+	0.458782i	$0.848286\pi$
$908$	−0.220236	−	55.3672i	−0.00730878	−	1.83743i
$909$	8.44010	+	0.588349i	0.279941	+	0.0195143i
$910$	−3.56294	+	30.2561i	−0.118110	+	1.00298i
$911$	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	$0.228013\pi$
$912$	10.0471	+	2.98334i	0.332694	+	0.0987882i
$913$	34.3079	−	19.8077i	1.13542	−	0.655538i
$914$	−3.38700	−	12.5406i	−0.112032	−	0.414808i
$915$	−7.30167	−	31.6113i	−0.241386	−	1.04504i
$916$	−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	$-0.495564\pi$
$919$	26.8847	−	15.5219i	0.886843	−	0.512019i	0.872908	+	0.487884i	$0.162231\pi$
$920$	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
$924$	−23.1419	+	9.07106i	−0.761312	+	0.298416i
$925$	10.0684	+	17.4390i	0.331047	+	0.573390i
$926$	−14.1312	+	3.81657i	−0.464378	+	0.125420i
$927$	−0.332667	+	4.77224i	−0.0109262	+	0.156741i
$928$	40.1803	+	10.3392i	1.31898	+	0.339400i
$929$	−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	$0.712362\pi$
$930$	12.0750	+	22.5953i	0.395954	+	0.740928i
$931$	−2.50082	+	10.2898i	−0.0819612	+	0.337234i
$932$	23.3328	−	13.5952i	0.764291	−	0.445326i
$933$	−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
$936$	40.8989	−	8.21271i	1.33682	−	0.268441i
$937$		−	15.0809i		−	0.492672i	−0.969185	−	0.246336i	$-0.920773\pi$
$937$		−	15.0809i		−	0.492672i	0.969185	−	0.246336i	$-0.0792266\pi$
$938$	9.46876	−	12.6958i	0.309166	−	0.414533i
$939$	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	$0.659954\pi$
$942$	17.4479	+	32.6493i	0.568482	+	1.06377i
$943$	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	−0.280028	−	0.959992i	$-0.590344\pi$
$947$	−38.5104	−	22.2340i	−1.25142	−	0.722507i	−0.971391	+	0.237485i	$0.923677\pi$
$948$	−12.0610	−	51.2851i	−0.391724	−	1.66566i
$949$	−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
$952$	2.79543	−	24.5798i	0.0906003	−	0.796636i
$953$	13.0081			0.421374			0.210687	−	0.977554i	$-0.432430\pi$
$953$	13.0081			0.421374			0.210687	+	0.977554i	$0.432430\pi$
$954$	43.3641	−	8.52843i	1.40396	−	0.276118i
$955$	−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
$958$	8.70061	−	8.73529i	0.281104	−	0.282224i
$959$	−0.368037	−	0.147429i	−0.0118845	−	0.00476073i
$960$	−16.5940	+	15.8520i	−0.535570	+	0.511622i
$961$	−4.44046	+	7.69109i	−0.143241	+	0.248100i
$962$	−43.9484	−	43.7739i	−1.41695	−	1.41133i
$963$	−7.22747	−	14.8104i	−0.232902	−	0.477257i
$964$	−20.8827	+	0.0830657i	−0.672587	+	0.00267537i
$965$	−7.56128	+	4.36551i	−0.243406	+	0.140531i
$966$	23.6449	+	10.3843i	0.760762	+	0.334109i
$967$	−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	$0.815225\pi$
$968$	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	0.925663	−	0.378350i	$-0.123508\pi$
$971$	4.21204	+	7.29547i	0.135171	+	0.234123i	−0.790492	+	0.612473i	$0.790175\pi$
$972$	−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
$975$	−18.7258	+	4.32534i	−0.599707	+	0.138522i
$976$	39.3574	+	22.3074i	1.25980	+	0.714043i
$977$	−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	$0.836918\pi$
$978$	6.83966	+	12.7987i	0.218708	+	0.409257i
$979$	7.22910	+	12.5212i	0.231043	+	0.400178i
$980$	−16.8378	−	15.9408i	−0.537865	−	0.509210i
$981$	33.8888	+	22.8476i	1.08199	+	0.729468i
$982$	54.5483	−	14.7325i	1.74070	−	0.470133i
$983$	30.6154			0.976480			0.488240	−	0.872710i	$-0.337639\pi$
$983$	30.6154			0.976480			0.488240	+	0.872710i	$0.337639\pi$
$984$	4.23536	+	2.61091i	0.135019	+	0.0832327i
$985$			21.5293i			0.685981i
$986$	24.2939	+	24.1975i	0.773676	+	0.770605i
$987$	−1.37282	+	8.84343i	−0.0436973	+	0.281489i
$988$	14.8739	−	0.0591644i	0.473202	−	0.00188227i
$989$	13.0904	+	22.6733i	0.416252	+	0.720969i
$990$	12.5338	+	14.3545i	0.398351	+	0.456215i
$991$	38.1803	+	22.0434i	1.21284	+	0.700232i	0.963376	−	0.268153i	$-0.0864134\pi$
$991$	38.1803	+	22.0434i	1.21284	+	0.700232i	0.249460	+	0.968385i	$0.419747\pi$
$992$	−34.5968	−	8.90240i	−1.09845	−	0.282652i
$993$	23.5865	−	5.44807i	0.748495	−	0.172889i
$994$	3.12133	+	7.25330i	0.0990027	+	0.230061i
$995$	−14.1292	−	8.15748i	−0.447925	−	0.258609i
$996$	14.5964	−	48.4500i	0.462506	−	1.53520i
$997$			7.36600i			0.233284i	0.993174	+	0.116642i	$0.0372130\pi$
$997$			7.36600i			0.233284i	−0.993174	+	0.116642i	$0.962787\pi$
$998$	15.6126	+	15.5506i	0.494209	+	0.492247i
$999$	−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.31.11	✓	84
3.2	odd	2		756.2.n.b.199.32		84
4.3	odd	2	inner	252.2.n.b.31.17	yes	84
7.5	odd	6		252.2.bj.b.103.40	yes	84
9.2	odd	6		756.2.bj.b.451.3		84
9.7	even	3		252.2.bj.b.115.40	yes	84
12.11	even	2		756.2.n.b.199.26		84
21.5	even	6		756.2.bj.b.523.3		84
28.19	even	6		252.2.bj.b.103.39	yes	84
36.7	odd	6		252.2.bj.b.115.39	yes	84
36.11	even	6		756.2.bj.b.451.4		84
63.47	even	6		756.2.n.b.19.26		84
63.61	odd	6	inner	252.2.n.b.187.17	yes	84
84.47	odd	6		756.2.bj.b.523.4		84
252.47	odd	6		756.2.n.b.19.32		84
252.187	even	6	inner	252.2.n.b.187.11	yes	84

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

\(f(q)\)	\(=\)	\(q+(-0.998009 + 1.00199i) q^{2} +(-1.26661 + 1.18139i) q^{3} +(-0.00795539 - 1.99998i) q^{4} -1.65619i q^{5} +(0.0803514 - 2.44817i) q^{6} +(2.45603 + 0.983840i) q^{7} +(2.01190 + 1.98803i) q^{8} +(0.208620 - 2.99274i) q^{9} +O(q^{10})\)	\(q+(-0.998009 + 1.00199i) q^{2} +(-1.26661 + 1.18139i) q^{3} +(-0.00795539 - 1.99998i) q^{4} -1.65619i q^{5} +(0.0803514 - 2.44817i) q^{6} +(2.45603 + 0.983840i) q^{7} +(2.01190 + 1.98803i) q^{8} +(0.208620 - 2.99274i) q^{9} +(1.65948 + 1.65289i) q^{10} +2.71203i q^{11} +(2.37284 + 2.52381i) q^{12} +(4.25755 + 2.45810i) q^{13} +(-3.43693 + 1.47902i) q^{14} +(1.95661 + 2.09775i) q^{15} +(-3.99987 + 0.0318213i) q^{16} +(-2.86290 - 1.65289i) q^{17} +(2.79048 + 3.19581i) q^{18} +(0.756379 + 1.31009i) q^{19} +(-3.31235 + 0.0131756i) q^{20} +(-4.27314 + 1.65539i) q^{21} +(-2.71742 - 2.70664i) q^{22} +3.98484i q^{23} +(-4.89694 - 0.141225i) q^{24} +2.25704 q^{25} +(-6.71205 + 1.81280i) q^{26} +(3.27136 + 4.03710i) q^{27} +(1.94812 - 4.91984i) q^{28} +(3.66717 + 6.35172i) q^{29} +(-4.05464 - 0.133077i) q^{30} +(-3.15757 - 5.46907i) q^{31} +(3.96003 - 4.03958i) q^{32} +(-3.20398 - 3.43510i) 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} +(-2.06756 - 0.549597i) q^{38} +(-8.29665 + 1.91638i) q^{39} +(3.29256 - 3.33208i) q^{40} +(-0.879545 - 0.507805i) q^{41} +(2.60595 - 5.93372i) q^{42} +(5.68989 - 3.28506i) q^{43} +(5.42403 - 0.0215753i) q^{44} +(-4.95654 - 0.345514i) q^{45} +(-3.99275 - 3.97690i) q^{46} +(0.976454 - 1.69127i) q^{47} +(5.02870 - 4.76573i) q^{48} +(5.06412 + 4.83267i) q^{49} +(-2.25254 + 2.26152i) q^{50} +(5.57890 - 1.28863i) q^{51} +(4.88228 - 8.53459i) q^{52} +(5.20840 - 9.02122i) q^{53} +(-7.30997 - 0.751208i) q^{54} +4.49164 q^{55} +(2.98537 + 6.86204i) q^{56} +(-2.50577 - 0.765793i) q^{57} +(-10.0242 - 2.66462i) q^{58} +(3.25288 + 5.63415i) q^{59} +(4.17991 - 3.92988i) 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} +(6.63952 + 0.217916i) q^{66} +(-3.66578 + 2.11644i) q^{67} +(-3.28299 + 5.73890i) q^{68} +(-4.70766 - 5.04725i) q^{69} +(2.44954 + 5.69221i) q^{70} -2.11040i q^{71} +(6.36938 - 5.60634i) q^{72} +(-4.56368 - 2.63484i) q^{73} +(-12.1939 - 3.24136i) q^{74} +(-2.85879 + 2.66645i) q^{75} +(2.61414 - 1.52317i) q^{76} +(-2.66821 + 6.66082i) q^{77} +(6.35994 - 10.2257i) q^{78} +(-13.1711 - 7.60431i) q^{79} +(0.0527021 + 6.62455i) q^{80} +(-8.91296 - 1.24869i) q^{81} +(1.38661 - 0.374498i) q^{82} +(-7.30362 - 12.6502i) q^{83} +(3.34474 + 8.53304i) 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} +(5.29287 - 4.62156i) q^{90} +(8.03827 + 10.2259i) q^{91} +(7.96961 - 0.0317009i) q^{92} +(10.4605 + 3.19687i) q^{93} +(0.720118 + 2.66629i) q^{94} +(2.16975 - 1.25271i) q^{95} +(-0.243492 + 9.79493i) q^{96} +(4.20504 - 2.42778i) q^{97} +(-9.89631 + 0.251133i) 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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