LMFDB - Embedded newform 348.2.t.a.35.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [348,2,Mod(35,348)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(348, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 7, 3]))

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

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

chi := DirichletCharacter("348.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 348 = 2^{2} \cdot 3 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	348.t (of order $14$, degree $6$, 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:	$2.77879399034$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$56$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			35.9
Character	$\chi$	$=$	348.35
Dual form			348.2.t.a.179.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.23942 + 0.681054i) q^{2} +(1.07334 - 1.35939i) q^{3} +(1.07233 - 1.68823i) q^{4} +(1.51787 + 1.21046i) q^{5} +(-0.404494 + 2.41586i) q^{6} +(4.22479 + 0.964281i) q^{7} +(-0.179298 + 2.82274i) q^{8} +(-0.695904 - 2.91817i) q^{9} +O(q^{10})$	\(q+(-1.23942 + 0.681054i) q^{2} +(1.07334 - 1.35939i) q^{3} +(1.07233 - 1.68823i) q^{4} +(1.51787 + 1.21046i) q^{5} +(-0.404494 + 2.41586i) q^{6} +(4.22479 + 0.964281i) q^{7} +(-0.179298 + 2.82274i) q^{8} +(-0.695904 - 2.91817i) q^{9} +(-2.70566 - 0.466519i) q^{10} +(0.665393 + 1.38170i) q^{11} +(-1.14399 - 3.26975i) q^{12} +(-3.00794 + 1.44855i) q^{13} +(-5.89302 + 1.68216i) q^{14} +(3.27467 - 0.764151i) q^{15} +(-1.70021 - 3.62067i) q^{16} -2.39634 q^{17} +(2.84995 + 3.14289i) q^{18} +(0.938754 + 4.11295i) q^{19} +(3.67118 - 1.26449i) q^{20} +(5.84545 - 4.70816i) q^{21} +(-1.76572 - 1.25934i) q^{22} +(-1.15431 - 1.44746i) q^{23} +(3.64477 + 3.27348i) q^{24} +(-0.273895 - 1.20001i) q^{25} +(2.74157 - 3.84393i) q^{26} +(-4.71388 - 2.18617i) q^{27} +(6.15830 - 6.09837i) q^{28} +(5.31382 - 0.873699i) q^{29} +(-3.53827 + 3.17733i) q^{30} +(3.47263 - 4.35455i) q^{31} +(4.57315 + 3.32961i) q^{32} +(2.59247 + 0.578499i) q^{33} +(2.97007 - 1.63204i) q^{34} +(5.24544 + 6.57758i) q^{35} +(-5.67277 - 1.95440i) q^{36} +(0.352959 - 0.732928i) q^{37} +(-3.96465 - 4.45834i) q^{38} +(-1.25938 + 5.64375i) q^{39} +(-3.68896 + 4.06751i) q^{40} -12.3016 q^{41} +(-4.03847 + 9.81646i) q^{42} +(4.19447 + 5.25970i) q^{43} +(3.04615 + 0.358309i) q^{44} +(2.47603 - 5.27175i) q^{45} +(2.41648 + 1.00787i) q^{46} +(-2.59586 - 5.39035i) q^{47} +(-6.74682 - 1.57494i) q^{48} +(10.6122 + 5.11058i) q^{49} +(1.15675 + 1.30078i) q^{50} +(-2.57207 + 3.25757i) q^{51} +(-0.780033 + 6.63141i) q^{52} +(-3.50185 - 2.79263i) q^{53} +(7.33138 - 0.500825i) q^{54} +(-0.662515 + 2.90267i) q^{55} +(-3.47941 + 11.7526i) q^{56} +(6.59872 + 3.13844i) q^{57} +(-5.99102 + 4.70188i) q^{58} +4.81167 q^{59} +(2.22147 - 6.34780i) q^{60} +(-7.06929 - 1.61352i) q^{61} +(-1.33838 + 7.76217i) q^{62} +(-0.126112 - 12.9997i) q^{63} +(-7.93570 - 1.01222i) q^{64} +(-6.31906 - 1.44228i) q^{65} +(-3.60715 + 1.04861i) q^{66} +(5.87746 - 12.2047i) q^{67} +(-2.56967 + 4.04556i) q^{68} +(-3.20664 + 0.0155537i) q^{69} +(-10.9810 - 4.57996i) q^{70} +(-3.66106 + 1.76307i) q^{71} +(8.36201 - 1.44113i) q^{72} +(-6.74846 + 5.38172i) q^{73} +(0.0616978 + 1.14879i) q^{74} +(-1.92527 - 0.915685i) q^{75} +(7.95024 + 2.82562i) q^{76} +(1.47880 + 6.47903i) q^{77} +(-2.28280 - 7.85269i) q^{78} +(-1.82364 - 0.878219i) q^{79} +(1.80198 - 7.55373i) q^{80} +(-8.03144 + 4.06153i) q^{81} +(15.2469 - 8.37805i) q^{82} +(-1.43633 - 6.29296i) q^{83} +(-1.68017 - 14.9171i) q^{84} +(-3.63732 - 2.90067i) q^{85} +(-8.78086 - 3.66233i) q^{86} +(4.51580 - 8.16134i) q^{87} +(-4.01949 + 1.63049i) q^{88} +(5.89358 - 7.39031i) q^{89} +(0.521500 + 8.22024i) q^{90} +(-14.1047 + 3.21931i) q^{91} +(-3.68145 + 0.396582i) q^{92} +(-2.19224 - 9.39456i) q^{93} +(6.88848 + 4.91300i) q^{94} +(-3.55365 + 7.37923i) q^{95} +(9.43477 - 2.64293i) q^{96} +(-19.0599 + 4.35029i) q^{97} +(-16.6336 + 0.893337i) q^{98} +(3.56899 - 2.90326i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9}+O(q^{10}) $ 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9	$ 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9} - 14 q^{10} - 20 q^{13} - 26 q^{16} - 56 q^{18} - 14 q^{21} - 40 q^{22} + 3 q^{24} + 40 q^{25} - 36 q^{28} - 6 q^{30} - 22 q^{33} - 8 q^{34} + 9 q^{36} - 28 q^{37} - 14 q^{40} - 74 q^{42} - 22 q^{45} + 14 q^{48} + 4 q^{49} - 4 q^{52} - 31 q^{54} - 12 q^{57} - 106 q^{58} - 42 q^{60} - 28 q^{61} - 94 q^{64} - 7 q^{66} - 14 q^{69} + 70 q^{72} - 28 q^{73} - 84 q^{76} - 9 q^{78} - 50 q^{81} - 46 q^{82} - 35 q^{84} - 168 q^{85} - 60 q^{88} + 119 q^{90} + 122 q^{93} + 36 q^{94} + 2 q^{96} - 28 q^{97}+O(q^{100}) $ 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9 - 14 * q^10 - 20 * q^13 - 26 * q^16 - 56 * q^18 - 14 * q^21 - 40 * q^22 + 3 * q^24 + 40 * q^25 - 36 * q^28 - 6 * q^30 - 22 * q^33 - 8 * q^34 + 9 * q^36 - 28 * q^37 - 14 * q^40 - 74 * q^42 - 22 * q^45 + 14 * q^48 + 4 * q^49 - 4 * q^52 - 31 * q^54 - 12 * q^57 - 106 * q^58 - 42 * q^60 - 28 * q^61 - 94 * q^64 - 7 * q^66 - 14 * q^69 + 70 * q^72 - 28 * q^73 - 84 * q^76 - 9 * q^78 - 50 * q^81 - 46 * q^82 - 35 * q^84 - 168 * q^85 - 60 * q^88 + 119 * q^90 + 122 * q^93 + 36 * q^94 + 2 * q^96 - 28 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/348\mathbb{Z}\right)^\times$.

$n$	$175$	$205$	$233$
$\chi(n)$	$-1$	$e\left(\frac{3}{14}\right)$	$-1$

Coefficient data

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

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

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

$2$	−1.23942	+	0.681054i	−0.876403	+	0.481578i
$2$	−1.23942	+	0.681054i	−0.876403	+	0.481578i
$3$	1.07334	−	1.35939i	0.619690	−	0.784846i
$3$	1.07334	−	1.35939i	0.619690	−	0.784846i
$4$	1.07233	−	1.68823i	0.536166	−	0.844113i
$5$	1.51787	+	1.21046i	0.678810	+	0.541333i	0.901080	−	0.433652i	$-0.142775\pi$
$5$	1.51787	+	1.21046i	0.678810	+	0.541333i	−0.222270	+	0.974985i	$0.571347\pi$
$6$	−0.404494	+	2.41586i	−0.165134	+	0.986271i
$7$	4.22479	+	0.964281i	1.59682	+	0.364464i	0.926109	−	0.377255i	$-0.123132\pi$
$7$	4.22479	+	0.964281i	1.59682	+	0.364464i	0.670711	+	0.741719i	$0.265989\pi$
$8$	−0.179298	+	2.82274i	−0.0633913	+	0.997989i
$9$	−0.695904	−	2.91817i	−0.231968	−	0.972723i
$10$	−2.70566	−	0.466519i	−0.855606	−	0.147526i
$11$	0.665393	+	1.38170i	0.200623	+	0.416599i	0.976871	−	0.213829i	$-0.0685936\pi$
$11$	0.665393	+	1.38170i	0.200623	+	0.416599i	−0.776248	+	0.630428i	$0.782879\pi$
$12$	−1.14399	−	3.26975i	−0.330242	−	0.943896i
$13$	−3.00794	+	1.44855i	−0.834253	+	0.401755i	−0.801708	−	0.597715i	$-0.796075\pi$
$13$	−3.00794	+	1.44855i	−0.834253	+	0.401755i	−0.0325442	+	0.999470i	$0.510361\pi$
$14$	−5.89302	+	1.68216i	−1.57498	+	0.449576i
$15$	3.27467	−	0.764151i	0.845516	−	0.197303i
$16$	−1.70021	−	3.62067i	−0.425053	−	0.905169i
$17$	−2.39634			−0.581197			−0.290599	−	0.956845i	$-0.593854\pi$
$17$	−2.39634			−0.581197			−0.290599	+	0.956845i	$0.593854\pi$
$18$	2.84995	+	3.14289i	0.671740	+	0.740787i
$19$	0.938754	+	4.11295i	0.215365	+	0.943576i	0.960853	+	0.277057i	$0.0893591\pi$
$19$	0.938754	+	4.11295i	0.215365	+	0.943576i	−0.745488	+	0.666518i	$0.767784\pi$
$20$	3.67118	−	1.26449i	0.820901	−	0.282748i
$21$	5.84545	−	4.70816i	1.27558	−	1.02740i
$22$	−1.76572	−	1.25934i	−0.376452	−	0.268493i
$23$	−1.15431	−	1.44746i	−0.240691	−	0.301817i	0.646784	−	0.762674i	$-0.276114\pi$
$23$	−1.15431	−	1.44746i	−0.240691	−	0.301817i	−0.887475	+	0.460857i	$0.847542\pi$
$24$	3.64477	+	3.27348i	0.743985	+	0.668196i
$25$	−0.273895	−	1.20001i	−0.0547790	−	0.240003i
$26$	2.74157	−	3.84393i	0.537665	−	0.753857i
$27$	−4.71388	−	2.18617i	−0.907187	−	0.420728i
$28$	6.15830	−	6.09837i	1.16381	−	1.15248i
$29$	5.31382	−	0.873699i	0.986751	−	0.162242i
$29$	5.31382	−	0.873699i	0.986751	−	0.162242i
$30$	−3.53827	+	3.17733i	−0.645996	+	0.580099i
$31$	3.47263	−	4.35455i	0.623703	−	0.782099i	−0.365157	−	0.930946i	$-0.618985\pi$
$31$	3.47263	−	4.35455i	0.623703	−	0.782099i	0.988860	+	0.148847i	$0.0475561\pi$
$32$	4.57315	+	3.32961i	0.808427	+	0.588597i
$33$	2.59247	+	0.578499i	0.451291	+	0.100704i
$34$	2.97007	−	1.63204i	0.509363	−	0.279892i
$35$	5.24544	+	6.57758i	0.886642	+	1.11181i
$36$	−5.67277	−	1.95440i	−0.945462	−	0.325734i
$37$	0.352959	−	0.732928i	0.0580262	−	0.120493i	−0.869939	−	0.493159i	$-0.835842\pi$
$37$	0.352959	−	0.732928i	0.0580262	−	0.120493i	0.927965	+	0.372666i	$0.121556\pi$
$38$	−3.96465	−	4.45834i	−0.643152	−	0.723238i
$39$	−1.25938	+	5.64375i	−0.201662	+	0.903724i
$40$	−3.68896	+	4.06751i	−0.583275	+	0.643129i
$41$	−12.3016			−1.92119			−0.960593	−	0.277958i	$-0.910343\pi$
$41$	−12.3016			−1.92119			−0.960593	+	0.277958i	$0.910343\pi$
$42$	−4.03847	+	9.81646i	−0.623149	+	1.51471i
$43$	4.19447	+	5.25970i	0.639651	+	0.802097i	0.990959	−	0.134163i	$-0.0428344\pi$
$43$	4.19447	+	5.25970i	0.639651	+	0.802097i	−0.351308	+	0.936260i	$0.614263\pi$
$44$	3.04615	+	0.358309i	0.459224	+	0.0540172i
$45$	2.47603	−	5.27175i	0.369105	−	0.785867i
$46$	2.41648	+	1.00787i	0.356291	+	0.148602i
$47$	−2.59586	−	5.39035i	−0.378645	−	0.786264i	−0.999996	−	0.00273195i	$-0.999130\pi$
$47$	−2.59586	−	5.39035i	−0.378645	−	0.786264i	0.621352	−	0.783532i	$-0.286584\pi$
$48$	−6.74682	−	1.57494i	−0.973819	−	0.227323i
$49$	10.6122	+	5.11058i	1.51603	+	0.730082i
$50$	1.15675	+	1.30078i	0.163589	+	0.183959i
$51$	−2.57207	+	3.25757i	−0.360162	+	0.456151i
$52$	−0.780033	+	6.63141i	−0.108171	+	0.919610i
$53$	−3.50185	−	2.79263i	−0.481016	−	0.383597i	0.352748	−	0.935718i	$-0.385247\pi$
$53$	−3.50185	−	2.79263i	−0.481016	−	0.383597i	−0.833764	+	0.552121i	$0.813819\pi$
$54$	7.33138	−	0.500825i	0.997675	−	0.0681537i
$55$	−0.662515	+	2.90267i	−0.0893335	+	0.391396i
$56$	−3.47941	+	11.7526i	−0.464955	+	1.57050i
$57$	6.59872	+	3.13844i	0.874022	+	0.415696i
$58$	−5.99102	+	4.70188i	−0.786660	+	0.617387i
$59$	4.81167			0.626426			0.313213	−	0.949683i	$-0.398595\pi$
$59$	4.81167			0.626426			0.313213	+	0.949683i	$0.398595\pi$
$60$	2.22147	−	6.34780i	0.286790	−	0.819498i
$61$	−7.06929	−	1.61352i	−0.905130	−	0.206590i	−0.255472	−	0.966816i	$-0.582231\pi$
$61$	−7.06929	−	1.61352i	−0.905130	−	0.206590i	−0.649658	+	0.760226i	$0.725088\pi$
$62$	−1.33838	+	7.76217i	−0.169974	+	0.985796i
$63$	−0.126112	−	12.9997i	−0.0158887	−	1.63781i
$64$	−7.93570	−	1.01222i	−0.991963	−	0.126528i
$65$	−6.31906	−	1.44228i	−0.783783	−	0.178893i
$66$	−3.60715	+	1.04861i	−0.444009	+	0.129075i
$67$	5.87746	−	12.2047i	0.718046	−	1.49104i	−0.146889	−	0.989153i	$-0.546926\pi$
$67$	5.87746	−	12.2047i	0.718046	−	1.49104i	0.864935	−	0.501884i	$-0.167360\pi$
$68$	−2.56967	+	4.04556i	−0.311618	+	0.490596i
$69$	−3.20664	+	0.0155537i	−0.386034	+	0.00187245i
$70$	−10.9810	−	4.57996i	−1.31248	−	0.547410i
$71$	−3.66106	+	1.76307i	−0.434488	+	0.209238i	−0.638326	−	0.769766i	$-0.720373\pi$
$71$	−3.66106	+	1.76307i	−0.434488	+	0.209238i	0.203838	+	0.979005i	$0.434658\pi$
$72$	8.36201	−	1.44113i	0.985472	−	0.169839i
$73$	−6.74846	+	5.38172i	−0.789848	+	0.629882i	−0.933024	−	0.359815i	$-0.882840\pi$
$73$	−6.74846	+	5.38172i	−0.789848	+	0.629882i	0.143176	+	0.989697i	$0.454268\pi$
$74$	0.0616978	+	1.14879i	0.00717223	+	0.133544i
$75$	−1.92527	−	0.915685i	−0.222311	−	0.105734i
$76$	7.95024	+	2.82562i	0.911956	+	0.324120i
$77$	1.47880	+	6.47903i	0.168524	+	0.738354i
$78$	−2.28280	−	7.85269i	−0.258476	−	0.889143i
$79$	−1.82364	−	0.878219i	−0.205176	−	0.0988074i	0.328474	−	0.944513i	$-0.393466\pi$
$79$	−1.82364	−	0.878219i	−0.205176	−	0.0988074i	−0.533650	+	0.845706i	$0.679180\pi$
$80$	1.80198	−	7.55373i	0.201467	−	0.844533i
$81$	−8.03144	+	4.06153i	−0.892382	+	0.451281i
$82$	15.2469	−	8.37805i	1.68373	−	0.925201i
$83$	−1.43633	−	6.29296i	−0.157657	−	0.690742i	−0.990532	−	0.137280i	$-0.956164\pi$
$83$	−1.43633	−	6.29296i	−0.157657	−	0.690742i	0.832875	−	0.553461i	$-0.186693\pi$
$84$	−1.68017	−	14.9171i	−0.183322	−	1.62759i
$85$	−3.63732	−	2.90067i	−0.394523	−	0.314621i
$86$	−8.78086	−	3.66233i	−0.946865	−	0.394919i
$87$	4.51580	−	8.16134i	0.484145	−	0.874988i
$88$	−4.01949	+	1.63049i	−0.428479	+	0.173811i
$89$	5.89358	−	7.39031i	0.624718	−	0.783371i	−0.364282	−	0.931289i	$-0.618686\pi$
$89$	5.89358	−	7.39031i	0.624718	−	0.783371i	0.989000	+	0.147917i	$0.0472570\pi$
$90$	0.521500	+	8.22024i	0.0549709	+	0.866489i
$91$	−14.1047	+	3.21931i	−1.47858	+	0.337475i
$92$	−3.68145	+	0.396582i	−0.383818	+	0.0413465i
$93$	−2.19224	−	9.39456i	−0.227325	−	0.974171i
$94$	6.88848	+	4.91300i	0.710493	+	0.506737i
$95$	−3.55365	+	7.37923i	−0.364597	+	0.757093i
$96$	9.43477	−	2.64293i	0.962932	−	0.269743i
$97$	−19.0599	+	4.35029i	−1.93524	+	0.441705i	−0.940419	+	0.340019i	$0.889567\pi$
$97$	−19.0599	+	4.35029i	−1.93524	+	0.441705i	−0.994817	+	0.101686i	$0.967576\pi$
$98$	−16.6336	+	0.893337i	−1.68025	+	0.0902406i
$99$	3.56899	−	2.90326i	0.358697	−	0.291789i
$100$	−2.31960	−	0.824415i	−0.231960	−	0.0824415i
$101$	−4.99657	−	6.26550i	−0.497177	−	0.623440i	0.468413	−	0.883510i	$-0.344826\pi$
$101$	−4.99657	−	6.26550i	−0.497177	−	0.623440i	−0.965590	+	0.260069i	$0.916255\pi$
$102$	0.969304	−	5.78922i	0.0959754	−	0.573218i
$103$	4.98599	+	10.3535i	0.491284	+	1.02016i	0.988314	+	0.152429i	$0.0487096\pi$
$103$	4.98599	+	10.3535i	0.491284	+	1.02016i	−0.497030	+	0.867733i	$0.665576\pi$
$104$	−3.54955	−	8.75035i	−0.348062	−	0.858042i
$105$	14.5716	−	0.0706793i	1.42205	−	0.00689760i
$106$	6.24220	+	1.07630i	0.606296	+	0.104539i
$107$	2.52224	+	1.21465i	0.243834	+	0.117424i	0.551810	−	0.833970i	$-0.313937\pi$
$107$	2.52224	+	1.21465i	0.243834	+	0.117424i	−0.307976	+	0.951394i	$0.599652\pi$
$108$	−8.74558	+	5.61380i	−0.841544	+	0.540188i
$109$	−1.11089	+	4.86715i	−0.106404	+	0.466188i	0.893451	+	0.449161i	$0.148277\pi$
$109$	−1.11089	+	4.86715i	−0.106404	+	0.466188i	−0.999855	+	0.0170266i	$0.994580\pi$
$110$	−1.15574	−	4.04884i	−0.110195	−	0.386042i
$111$	−0.617494	−	1.26649i	−0.0586099	−	0.120210i
$112$	−3.69169	−	16.9361i	−0.348832	−	1.60031i
$113$	−4.58784	+	20.1006i	−0.431587	+	1.89091i	0.0221156	+	0.999755i	$0.492960\pi$
$113$	−4.58784	+	20.1006i	−0.431587	+	1.89091i	−0.453703	+	0.891153i	$0.649897\pi$
$114$	−10.3160	+	0.604236i	−0.966185	+	0.0565919i
$115$		−	3.59431i		−	0.335171i
$116$	4.22317	−	9.90782i	0.392112	−	0.919918i
$117$	6.32035	+	7.76963i	0.584316	+	0.718303i
$118$	−5.96368	+	3.27701i	−0.549002	+	0.301673i
$119$	−10.1240	−	2.31074i	−0.928068	−	0.211825i
$120$	1.56986	+	9.38054i	0.143308	+	0.856322i
$121$	5.39203	−	6.76140i	0.490185	−	0.614672i
$122$	9.86073	−	2.81474i	0.892749	−	0.254834i
$123$	−13.2037	+	16.7227i	−1.19054	+	1.50784i
$124$	−3.62764	−	10.5321i	−0.325772	−	0.945811i
$125$	5.24859	−	10.8988i	0.469448	−	0.974819i
$126$	9.00980	+	16.0262i	0.802657	+	1.42773i
$127$	−20.1669	+	9.71187i	−1.78952	+	0.861789i	−0.843920	+	0.536469i	$0.819758\pi$
$127$	−20.1669	+	9.71187i	−1.78952	+	0.861789i	−0.945604	+	0.325320i	$0.894528\pi$
$128$	10.5251	−	4.15007i	0.930293	−	0.366818i
$129$	11.6521	−	0.0565181i	1.02591	−	0.00497614i
$130$	8.81425	−	2.51602i	0.773061	−	0.220670i
$131$	0.233029	−	0.185835i	0.0203599	−	0.0162365i	−0.613257	−	0.789883i	$-0.710141\pi$
$131$	0.233029	−	0.185835i	0.0203599	−	0.0162365i	0.633617	+	0.773647i	$0.281570\pi$
$132$	3.75662	−	3.75633i	0.326972	−	0.326946i
$133$			18.2816i			1.58521i
$134$	1.02739	+	19.1296i	0.0887529	+	1.65255i
$135$	−4.50878	−	9.02426i	−0.388054	−	0.776685i
$136$	0.429658	−	6.76424i	0.0368429	−	0.580028i
$137$	18.8345	+	9.07024i	1.60914	+	0.774923i	0.999838	−	0.0180119i	$-0.00573369\pi$
$137$	18.8345	+	9.07024i	1.60914	+	0.774923i	0.609306	+	0.792935i	$0.291448\pi$
$138$	3.96378	−	2.20317i	0.337420	−	0.187546i
$139$	5.08284	−	4.05343i	0.431121	−	0.343808i	−0.383763	−	0.923432i	$-0.625372\pi$
$139$	5.08284	−	4.05343i	0.431121	−	0.343808i	0.814884	+	0.579624i	$0.196801\pi$
$140$	16.7293	−	1.80215i	1.41388	−	0.152309i
$141$	−10.1138	−	2.25686i	−0.851739	−	0.190062i
$142$	3.33685	−	4.67857i	0.280022	−	0.392617i
$143$	−4.00292	−	3.19223i	−0.334741	−	0.266947i
$144$	−9.38256	+	7.48115i	−0.781880	+	0.623429i
$145$	9.12324	+	5.10599i	0.757644	+	0.424030i
$146$	4.69895	−	11.2663i	0.388888	−	0.932404i
$147$	18.3378	−	8.94083i	1.51247	−	0.737427i
$148$	−0.858858	−	1.38182i	−0.0705977	−	0.113585i
$149$	16.4712	−	3.75944i	1.34937	−	0.307985i	0.514056	−	0.857756i	$-0.328142\pi$
$149$	16.4712	−	3.75944i	1.34937	−	0.307985i	0.835315	+	0.549771i	$0.185285\pi$
$150$	3.00985	−	0.176295i	0.245754	−	0.0143944i
$151$	−3.32502	+	2.65162i	−0.270587	+	0.215786i	−0.749377	−	0.662144i	$-0.769647\pi$
$151$	−3.32502	+	2.65162i	−0.270587	+	0.215786i	0.478790	+	0.877929i	$0.341075\pi$
$152$	−11.7781	+	1.91242i	−0.955330	+	0.155117i
$153$	1.66762	+	6.99292i	0.134819	+	0.565344i
$154$	−6.24542	−	7.02310i	−0.503270	−	0.565938i
$155$	10.5420	−	2.40614i	0.846753	−	0.193266i
$156$	8.17746	+	8.17809i	0.654720	+	0.654771i
$157$			10.9956i			0.877546i	0.898598	+	0.438773i	$0.144587\pi$
$157$			10.9956i			0.877546i	−0.898598	+	0.438773i	$0.855413\pi$
$158$	2.85837	−	0.153514i	0.227400	−	0.0122129i
$159$	−7.55494	+	1.76296i	−0.599146	+	0.139812i
$160$	2.91109	+	10.5895i	0.230142	+	0.837174i
$161$	−3.48097	−	7.22831i	−0.274339	−	0.569671i
$162$	7.18821	−	10.5038i	0.564759	−	0.825256i
$163$	−1.78094	+	0.857657i	−0.139494	+	0.0671769i	−0.502329	−	0.864677i	$-0.667523\pi$
$163$	−1.78094	+	0.857657i	−0.139494	+	0.0671769i	0.362835	+	0.931854i	$0.381809\pi$
$164$	−13.1914	+	20.7679i	−1.03007	+	1.62170i
$165$	3.23477	+	4.01616i	0.251827	+	0.312657i
$166$	6.06606	+	6.82141i	0.470817	+	0.529444i
$167$	−2.73465	+	11.9813i	−0.211613	+	0.927139i	0.751857	+	0.659326i	$0.229158\pi$
$167$	−2.73465	+	11.9813i	−0.211613	+	0.927139i	−0.963471	+	0.267813i	$0.913699\pi$
$168$	12.2418	+	17.3443i	0.944477	+	1.33814i
$169$	−1.15595	+	1.44952i	−0.0889194	+	0.111501i
$170$	6.48368	+	1.11794i	0.497276	+	0.0857418i
$171$	11.3490	−	5.60166i	0.867880	−	0.428370i
$172$	13.3774	−	1.44107i	1.02002	−	0.109881i
$173$		−	9.30831i		−	0.707698i	−0.935303	−	0.353849i	$-0.884873\pi$
$173$		−	9.30831i		−	0.707698i	0.935303	−	0.353849i	$-0.115127\pi$
$174$	−0.0386715	+	13.1908i	−0.00293168	+	0.999996i
$175$		−	5.33392i		−	0.403206i
$176$	3.87139	−	4.75836i	0.291817	−	0.358675i
$177$	5.16453	−	6.54095i	0.388190	−	0.491648i
$178$	−2.27142	+	13.1736i	−0.170250	+	0.987399i
$179$	−10.9859	+	13.7759i	−0.821124	+	1.02966i	0.177836	+	0.984060i	$0.443090\pi$
$179$	−10.9859	+	13.7759i	−0.821124	+	1.02966i	−0.998960	+	0.0455969i	$0.985481\pi$
$180$	−6.24478	−	9.83317i	−0.465459	−	0.732921i
$181$	0.305778	−	1.33970i	0.0227283	−	0.0995790i	−0.962292	−	0.272020i	$-0.912308\pi$
$181$	0.305778	−	1.33970i	0.0227283	−	0.0995790i	0.985020	+	0.172441i	$0.0551654\pi$
$182$	15.2892	−	13.5962i	1.13331	−	1.00781i
$183$	−9.78113	+	7.87811i	−0.723042	+	0.582367i
$184$	4.29278	−	2.99880i	0.316468	−	0.221074i
$185$	1.42292	−	0.685244i	0.104615	−	0.0503801i
$186$	9.11532	+	10.1508i	0.668367	+	0.744292i
$187$	−1.59451	−	3.31103i	−0.116602	−	0.242126i
$188$	−11.8838	−	1.39785i	−0.866712	−	0.101949i
$189$	−17.8071	−	13.7816i	−1.29527	−	1.00246i
$190$	−0.621183	−	11.5662i	−0.0450654	−	0.839101i
$191$		−	17.8576i		−	1.29213i	−0.763283	−	0.646064i	$-0.776414\pi$
$191$		−	17.8576i		−	1.29213i	0.763283	−	0.646064i	$-0.223586\pi$
$192$	−9.89368	+	9.70130i	−0.714015	+	0.700131i
$193$	3.49350	−	0.797370i	0.251468	−	0.0573959i	−0.0949286	−	0.995484i	$-0.530262\pi$
$193$	3.49350	−	0.797370i	0.251468	−	0.0573959i	0.346397	+	0.938088i	$0.387405\pi$
$194$	20.6604	−	18.3726i	1.48333	−	1.31908i
$195$	−8.74310	+	7.04203i	−0.626106	+	0.504291i
$196$	20.0076	−	12.4356i	1.42912	−	0.888257i
$197$	−7.20581	+	5.74644i	−0.513393	+	0.409417i	−0.845622	−	0.533781i	$-0.820771\pi$
$197$	−7.20581	+	5.74644i	−0.513393	+	0.409417i	0.332230	+	0.943198i	$0.392199\pi$
$198$	−2.44621	+	6.02904i	−0.173845	+	0.428465i
$199$	−10.5373	+	2.40506i	−0.746967	+	0.170490i	−0.579028	−	0.815307i	$-0.696568\pi$
$199$	−10.5373	+	2.40506i	−0.746967	+	0.170490i	−0.167938	+	0.985798i	$0.553711\pi$
$200$	3.43643	−	0.557975i	0.242992	−	0.0394548i
$201$	−10.2825	−	21.0895i	−0.725270	−	1.48754i
$202$	10.4600	+	4.36266i	0.735963	+	0.306956i
$203$	23.2922	+	1.43282i	1.63480	+	0.100564i
$204$	2.74139	+	7.83543i	0.191936	+	0.548590i
$205$	−18.6722	−	14.8906i	−1.30412	−	1.04000i
$206$	−13.2310	−	9.43664i	−0.921851	−	0.657482i
$207$	−3.42065	+	4.37578i	−0.237752	+	0.304138i
$208$	10.3589	+	8.42793i	0.718257	+	0.584372i
$209$	−5.05823	+	4.03381i	−0.349885	+	0.279024i
$210$	−18.0123	+	10.0117i	−1.24296	+	0.690871i
$211$	14.3215	+	6.89688i	0.985934	+	0.474801i	0.856142	−	0.516740i	$-0.172855\pi$
$211$	14.3215	+	6.89688i	0.985934	+	0.474801i	0.129792	+	0.991541i	$0.458569\pi$
$212$	−8.46973	+	2.91728i	−0.581703	+	0.200360i
$213$	−1.53283	+	6.86919i	−0.105028	+	0.470669i
$214$	−3.95336	+	0.212322i	−0.270246	+	0.0145140i
$215$			13.0608i			0.890737i
$216$	7.01616	−	12.9141i	0.477390	−	0.878692i
$217$	18.8701	−	15.0484i	1.28099	−	1.02155i
$218$	−1.93792	−	6.78902i	−0.131253	−	0.459811i
$219$	0.0725156	+	14.9502i	0.00490015	+	1.01024i
$220$	4.18992	+	4.23110i	0.282485	+	0.285261i
$221$	7.20804	−	3.47121i	0.484865	−	0.233499i
$222$	1.62788	+	1.14917i	0.109256	+	0.0771270i
$223$	2.05780	−	4.27307i	0.137800	−	0.286146i	−0.820636	−	0.571451i	$-0.806381\pi$
$223$	2.05780	−	4.27307i	0.137800	−	0.286146i	0.958437	+	0.285305i	$0.0920950\pi$
$224$	16.1099	+	18.4767i	1.07639	+	1.23453i
$225$	−3.31124	+	1.63437i	−0.220749	+	0.108958i
$226$	−8.00335	−	28.0377i	−0.532375	−	1.86504i
$227$	−10.2245	+	12.8212i	−0.678627	+	0.850971i	−0.995227	−	0.0975879i	$-0.968887\pi$
$227$	−10.2245	+	12.8212i	−0.678627	+	0.850971i	0.316600	+	0.948559i	$0.397459\pi$
$228$	12.3744	−	7.77468i	0.819515	−	0.514891i
$229$	−1.71103	−	0.390531i	−0.113068	−	0.0258070i	0.165613	−	0.986191i	$-0.447040\pi$
$229$	−1.71103	−	0.390531i	−0.113068	−	0.0258070i	−0.278680	+	0.960384i	$0.589897\pi$
$230$	2.44792	+	4.45486i	0.161411	+	0.293745i
$231$	10.3948	+	4.94390i	0.683927	+	0.325285i
$232$	1.51347	+	15.1562i	0.0993641	+	0.995051i
$233$			19.7099i			1.29124i	0.763659	+	0.645620i	$0.223401\pi$
$233$			19.7099i			1.29124i	−0.763659	+	0.645620i	$0.776599\pi$
$234$	−13.1251	−	5.32535i	−0.858015	−	0.348129i
$235$	2.58463	−	11.3240i	0.168603	−	0.738697i
$236$	5.15970	−	8.12318i	0.335868	−	0.528774i
$237$	−3.15122	+	1.53642i	−0.204694	+	0.0998014i
$238$	14.1217	−	4.03102i	0.915372	−	0.261292i
$239$	5.87412	−	25.7362i	0.379965	−	1.66474i	−0.317608	−	0.948222i	$-0.602879\pi$
$239$	5.87412	−	25.7362i	0.379965	−	1.66474i	0.697573	−	0.716514i	$-0.254263\pi$
$240$	−8.33437	−	10.5573i	−0.537981	−	0.681470i
$241$	−9.21379	−	4.43713i	−0.593512	−	0.285820i	0.112917	−	0.993604i	$-0.463981\pi$
$241$	−9.21379	−	4.43713i	−0.593512	−	0.285820i	−0.706429	+	0.707784i	$0.749695\pi$
$242$	−2.07813	+	12.0525i	−0.133587	+	0.774763i
$243$	−3.09920	+	15.2773i	−0.198814	+	0.980037i
$244$	−10.3046	+	10.2043i	−0.659685	+	0.653266i
$245$	9.92180	+	20.6028i	0.633880	+	1.31627i
$246$	4.97592	−	29.7189i	0.317253	−	1.89481i
$247$	−8.78152	−	11.0117i	−0.558755	−	0.700656i
$248$	11.6691	+	10.5831i	0.740989	+	0.672027i
$249$	−10.0963	−	4.80192i	−0.639825	−	0.304309i
$250$	0.917462	+	17.0828i	0.0580254	+	1.08041i
$251$	18.0702	−	4.12441i	1.14058	−	0.260330i	0.389812	−	0.920894i	$-0.372540\pi$
$251$	18.0702	−	4.12441i	1.14058	−	0.260330i	0.750770	+	0.660564i	$0.229683\pi$
$252$	−22.0817	−	13.7271i	−1.39101	−	0.864725i
$253$	1.23189	−	2.55805i	0.0774484	−	0.160823i
$254$	18.3810	−	25.7719i	1.15333	−	1.61707i
$255$	−7.84721	+	1.83116i	−0.491411	+	0.114672i
$256$	−10.2186	+	12.3118i	−0.638660	+	0.769489i
$257$	9.40822	−	2.14736i	0.586869	−	0.133949i	0.0812316	−	0.996695i	$-0.474115\pi$
$257$	9.40822	−	2.14736i	0.586869	−	0.133949i	0.505637	+	0.862746i	$0.331258\pi$
$258$	−14.4034	+	8.00575i	−0.896714	+	0.498416i
$259$	2.19793	−	2.75611i	0.136573	−	0.171257i
$260$	−9.21102	+	9.12139i	−0.571243	+	0.565685i
$261$	−6.24751	−	14.8986i	−0.386711	−	0.922201i
$262$	−0.162258	+	0.389033i	−0.0100243	+	0.0240346i
$263$	3.38963	+	2.70314i	0.209014	+	0.166683i	0.722401	−	0.691474i	$-0.243038\pi$
$263$	3.38963	+	2.70314i	0.209014	+	0.166683i	−0.513388	+	0.858157i	$0.671610\pi$
$264$	−2.09777	+	7.21413i	−0.129109	+	0.443999i
$265$	−1.93497	−	8.47768i	−0.118865	−	0.520779i
$266$	−12.4507	−	22.6586i	−0.763404	−	1.38929i
$267$	−3.72056	−	15.9440i	−0.227695	−	0.975755i
$268$	−14.3017	−	23.0099i	−0.873612	−	1.40555i
$269$	−17.4419	−	8.39958i	−1.06345	−	0.512131i	−0.181461	−	0.983398i	$-0.558083\pi$
$269$	−17.4419	−	8.39958i	−1.06345	−	0.512131i	−0.881991	+	0.471267i	$0.843797\pi$
$270$	11.7343	+	8.11414i	0.714126	+	0.493811i
$271$	−5.10060	−	22.3472i	−0.309839	−	1.35749i	−0.854767	−	0.519011i	$-0.826300\pi$
$271$	−5.10060	−	22.3472i	−0.309839	−	1.35749i	0.544928	−	0.838483i	$-0.316557\pi$
$272$	4.07428	+	8.67636i	0.247040	+	0.526082i
$273$	−10.7628	+	22.6293i	−0.651393	+	1.36959i
$274$	−29.5213	+	1.58549i	−1.78344	+	0.0957831i
$275$	1.47581	−	1.17692i	0.0889949	−	0.0709711i
$276$	−3.41232	+	5.43021i	−0.205398	+	0.326860i
$277$	9.09789	−	4.38131i	0.546639	−	0.263248i	−0.140117	−	0.990135i	$-0.544748\pi$
$277$	9.09789	−	4.38131i	0.546639	−	0.263248i	0.686757	+	0.726887i	$0.259034\pi$
$278$	−3.53918	+	8.48560i	−0.212266	+	0.508933i
$279$	−15.1239	−	7.10339i	−0.905446	−	0.425269i
$280$	−19.5073	+	13.6272i	−1.16578	+	0.814379i
$281$	3.05237	−	6.33830i	0.182089	−	0.378111i	−0.789866	−	0.613280i	$-0.789850\pi$
$281$	3.05237	−	6.33830i	0.182089	−	0.378111i	0.971955	+	0.235168i	$0.0755641\pi$
$282$	14.0724	−	4.09087i	0.837996	−	0.243608i
$283$	15.8059	+	3.60758i	0.939561	+	0.214449i	0.664764	−	0.747054i	$-0.268532\pi$
$283$	15.8059	+	3.60758i	0.939561	+	0.214449i	0.274797	+	0.961502i	$0.411389\pi$
$284$	−0.949403	+	8.07129i	−0.0563367	+	0.478943i
$285$	6.21702	+	12.7512i	0.368265	+	0.755316i
$286$	7.13539	+	1.23031i	0.421924	+	0.0727495i
$287$	−51.9717	−	11.8622i	−3.06779	−	0.700203i
$288$	6.53388	−	15.6623i	0.385013	−	0.922911i
$289$	−11.2576			−0.662210
$290$	−14.7850	−	0.115061i	−0.868205	−	0.00675661i
$291$	−14.5439	+	30.5792i	−0.852576	+	1.79258i
$292$	1.84897	+	17.1639i	0.108203	+	1.00444i
$293$	−0.760810	+	3.33333i	−0.0444470	+	0.194735i	−0.992277	−	0.124041i	$-0.960415\pi$
$293$	−0.760810	+	3.33333i	−0.0444470	+	0.194735i	0.947830	+	0.318776i	$0.103272\pi$
$294$	−16.6390	+	23.5705i	−0.970408	+	1.37466i
$295$	7.30347	+	5.82432i	0.425224	+	0.339105i
$296$	2.00558	+	1.12772i	0.116572	+	0.0655477i
$297$	−0.115951	−	7.96784i	−0.00672814	−	0.462341i
$298$	−17.8544	+	15.8773i	−1.03427	+	0.919747i
$299$	5.56883	+	2.68181i	0.322054	+	0.155093i
$300$	−3.61041	+	2.26838i	−0.208447	+	0.130965i
$301$	12.6489	+	26.2658i	0.729073	+	1.51393i
$302$	2.31521	−	5.55099i	0.133225	−	0.319424i
$303$	−13.8803	+	0.0673259i	−0.797401	+	0.00386777i
$304$	13.2956	−	10.3918i	0.762553	−	0.596011i
$305$	−8.77714	−	11.0062i	−0.502578	−	0.630213i
$306$	−6.82944	−	7.53144i	−0.390413	−	0.430544i
$307$	24.9474			1.42382			0.711912	−	0.702268i	$-0.247829\pi$
$307$	24.9474			1.42382			0.711912	+	0.702268i	$0.247829\pi$
$308$	12.5238	+	4.45112i	0.713611	+	0.253626i
$309$	19.4261	+	4.33487i	1.10512	+	0.246602i
$310$	−11.4273	+	10.1619i	−0.649024	+	0.577156i
$311$	12.3437	−	25.6319i	0.699947	−	1.45345i	−0.182580	−	0.983191i	$-0.558445\pi$
$311$	12.3437	−	25.6319i	0.699947	−	1.45345i	0.882526	−	0.470263i	$-0.155841\pi$
$312$	−15.7050	−	4.56681i	−0.889123	−	0.258545i
$313$	6.64052	+	8.32695i	0.375344	+	0.470667i	0.933245	−	0.359241i	$-0.116964\pi$
$313$	6.64052	+	8.32695i	0.375344	+	0.470667i	−0.557900	+	0.829908i	$0.688393\pi$
$314$	−7.48861	−	13.6282i	−0.422606	−	0.769084i
$315$	15.5442	−	19.8845i	0.875815	−	1.12036i
$316$	−3.43818	+	2.13698i	−0.193413	+	0.120214i
$317$	0.0307385	−	0.0385449i	0.00172645	−	0.00216490i	−0.780968	−	0.624572i	$-0.785274\pi$
$317$	0.0307385	−	0.0385449i	0.00172645	−	0.00216490i	0.782694	+	0.622407i	$0.213845\pi$
$318$	8.16308	−	7.33037i	0.457763	−	0.411067i
$319$	4.74297	+	6.76076i	0.265555	+	0.378530i
$320$	−10.8201	−	11.1423i	−0.604861	−	0.622871i
$321$	4.35839	−	2.12500i	0.243262	−	0.118606i
$322$	9.23726	+	6.58820i	0.514772	+	0.367146i
$323$	−2.24957	−	9.85602i	−0.125170	−	0.548404i
$324$	−1.75558	+	17.9142i	−0.0975320	+	0.995232i
$325$	2.56214	+	3.21282i	0.142122	+	0.178215i
$326$	1.62323	−	2.27592i	0.0899023	−	0.126051i
$327$	5.42401	+	6.73422i	0.299948	+	0.372403i
$328$	2.20565	−	34.7242i	0.121786	−	1.91732i
$329$	−5.76914	−	25.2762i	−0.318063	−	1.39352i
$330$	−6.74446	−	2.77466i	−0.371270	−	0.152740i
$331$	1.83171			0.100680			0.0503399	−	0.998732i	$-0.483970\pi$
$331$	1.83171			0.100680			0.0503399	+	0.998732i	$0.483970\pi$
$332$	−12.1641	−	4.32329i	−0.667594	−	0.237271i
$333$	−2.38443	−	0.519948i	−0.130666	−	0.0284930i
$334$	−4.77051	−	16.7123i	−0.261031	−	0.914456i
$335$	23.6944	−	11.4106i	1.29457	−	0.623430i
$336$	−26.9852	−	13.1596i	−1.47216	−	0.717916i
$337$	−6.58228	−	13.6682i	−0.358559	−	0.744556i	0.641180	−	0.767391i	$-0.278445\pi$
$337$	−6.58228	−	13.6682i	−0.358559	−	0.744556i	−0.999739	+	0.0228343i	$0.992731\pi$
$338$	0.445512	−	2.58383i	0.0242327	−	0.140542i
$339$	22.4004	+	27.8114i	1.21662	+	1.51051i
$340$	−8.79739	+	3.03014i	−0.477106	+	0.164333i
$341$	8.32735	+	1.90066i	0.450951	+	0.102927i
$342$	−10.2512	+	14.6721i	−0.554320	+	0.793377i
$343$	16.1903	+	12.9113i	0.874191	+	0.697144i
$344$	−15.5988	+	10.8969i	−0.841032	+	0.587519i
$345$	−4.88608	−	3.85789i	−0.263058	−	0.207702i
$346$	6.33946	+	11.5369i	0.340812	+	0.620229i
$347$	5.06799			0.272064			0.136032	−	0.990704i	$-0.456565\pi$
$347$	5.06799			0.272064			0.136032	+	0.990704i	$0.456565\pi$
$348$	−8.93575	−	16.3754i	−0.479006	−	0.877811i
$349$	29.1287			1.55922			0.779611	−	0.626264i	$-0.215417\pi$
$349$	29.1287			1.55922			0.779611	+	0.626264i	$0.215417\pi$
$350$	3.63268	+	6.61097i	0.194175	+	0.353371i
$351$	17.3458	−	0.252422i	0.925852	−	0.0134733i
$352$	−1.55758	+	8.53423i	−0.0830193	+	0.454876i
$353$	2.06636	+	1.64787i	0.109981	+	0.0877073i	0.676936	−	0.736042i	$-0.263307\pi$
$353$	2.06636	+	1.64787i	0.109981	+	0.0877073i	−0.566955	+	0.823749i	$0.691879\pi$
$354$	−1.94629	+	11.6243i	−0.103444	+	0.617826i
$355$	−7.69113	−	1.75545i	−0.408203	−	0.0931696i
$356$	−6.15665	−	17.8745i	−0.326302	−	0.947349i
$357$	−14.0077	+	11.2823i	−0.741365	+	0.597125i
$358$	4.23404	−	24.5561i	0.223776	−	1.29783i
$359$	6.94092	+	14.4130i	0.366328	+	0.760687i	0.999916	−	0.0129835i	$-0.00413289\pi$
$359$	6.94092	+	14.4130i	0.366328	+	0.760687i	−0.633588	+	0.773671i	$0.718419\pi$
$360$	14.4368	+	7.93441i	0.760888	+	0.418180i
$361$	1.08331	−	0.521692i	0.0570161	−	0.0274575i
$362$	0.533420	+	1.86870i	0.0280359	+	0.0982168i
$363$	−3.40394	−	14.5871i	−0.178661	−	0.765626i
$364$	−9.69001	+	27.2641i	−0.507894	+	1.42903i
$365$	−16.7576			−0.877133
$366$	6.75753	−	16.4258i	0.353222	−	0.858589i
$367$	3.74607	+	16.4126i	0.195543	+	0.856730i	0.973550	+	0.228474i	$0.0733737\pi$
$367$	3.74607	+	16.4126i	0.195543	+	0.856730i	−0.778007	+	0.628256i	$0.783769\pi$
$368$	−3.27822	+	6.64039i	−0.170889	+	0.346154i
$369$	8.56073	+	35.8982i	0.445654	+	1.86878i
$370$	−1.29691	+	1.81839i	−0.0674233	+	0.0945338i
$371$	−12.1017	−	15.1750i	−0.628288	−	0.787848i
$372$	−18.2110	−	6.37308i	−0.944194	−	0.330429i
$373$	−6.75120	−	29.5789i	−0.349564	−	1.53154i	−0.778173	−	0.628050i	$-0.783853\pi$
$373$	−6.75120	−	29.5789i	−0.349564	−	1.53154i	0.428609	−	0.903490i	$-0.359004\pi$
$374$	4.23125	+	3.01781i	0.218793	+	0.156047i
$375$	−9.18228	−	18.8330i	−0.474171	−	0.972531i
$376$	15.6810	−	6.36095i	0.808685	−	0.328041i
$377$	−14.7181	+	10.3254i	−0.758018	+	0.531783i
$378$	31.4565	+	4.95363i	1.61795	+	0.254787i
$379$	−10.4029	+	13.0448i	−0.534361	+	0.670068i	−0.973589	−	0.228308i	$-0.926681\pi$
$379$	−10.4029	+	13.0448i	−0.534361	+	0.670068i	0.439228	+	0.898376i	$0.355252\pi$
$380$	8.64712	+	13.9123i	0.443588	+	0.713688i
$381$	−8.44359	+	37.8389i	−0.432578	+	1.93854i
$382$	12.1620	+	22.1331i	0.622260	+	1.13243i
$383$	4.39612	+	5.51256i	0.224631	+	0.281679i	0.881357	−	0.472451i	$-0.156631\pi$
$383$	4.39612	+	5.51256i	0.224631	+	0.281679i	−0.656726	+	0.754129i	$0.728059\pi$
$384$	5.65533	−	18.7621i	0.288597	−	0.957451i
$385$	−5.59797	+	11.6243i	−0.285299	+	0.592430i
$386$	−3.78687	+	3.36754i	−0.192747	+	0.171403i
$387$	12.4298	−	15.9004i	0.631840	−	0.808265i
$388$	−13.0942	+	36.8423i	−0.664758	+	1.87038i
$389$	18.6423			0.945201			0.472601	−	0.881277i	$-0.343315\pi$
$389$	18.6423			0.945201			0.472601	+	0.881277i	$0.343315\pi$
$390$	6.04038	−	14.6826i	0.305866	−	0.743481i
$391$	2.76613	+	3.46861i	0.139889	+	0.175415i
$392$	−16.3286	+	29.0392i	−0.824717	+	1.46670i
$393$	−0.00250402	−	0.516242i	−0.000126311	−	0.0260410i
$394$	5.01740	−	12.0298i	0.252773	−	0.606053i
$395$	−1.70500	−	3.54046i	−0.0857877	−	0.178140i
$396$	−1.07422	−	9.13852i	−0.0539815	−	0.459228i
$397$	−2.55675	−	1.23127i	−0.128320	−	0.0617954i	0.368622	−	0.929579i	$-0.379830\pi$
$397$	−2.55675	−	1.23127i	−0.128320	−	0.0617954i	−0.496942	+	0.867784i	$0.665544\pi$
$398$	11.4221	−	10.1573i	0.572540	−	0.509141i
$399$	24.8519	+	19.6223i	1.24415	+	0.982341i
$400$	−3.87918	+	3.03196i	−0.193959	+	0.151598i
$401$	−2.26125	−	1.80328i	−0.112921	−	0.0900517i	0.565401	−	0.824816i	$-0.308721\pi$
$401$	−2.26125	−	1.80328i	−0.112921	−	0.0900517i	−0.678323	+	0.734764i	$0.737293\pi$
$402$	27.1074	+	19.1358i	1.35199	+	0.954409i
$403$	−4.13771	+	18.1285i	−0.206114	+	0.903044i
$404$	−15.9356	+	1.71665i	−0.792823	+	0.0854063i
$405$	−17.1070	−	3.55685i	−0.850052	−	0.176741i
$406$	−29.8447	+	14.0874i	−1.48117	+	0.699146i
$407$	1.24754			0.0618385
$408$	−8.73409	−	7.84437i	−0.432402	−	0.388354i
$409$	14.7568	+	3.36815i	0.729678	+	0.166544i	0.571191	−	0.820817i	$-0.306481\pi$
$409$	14.7568	+	3.36815i	0.729678	+	0.166544i	0.158486	+	0.987361i	$0.449339\pi$
$410$	33.2840	+	5.73893i	1.64378	+	0.283425i
$411$	32.5458	−	15.8682i	1.60537	−	0.782719i
$412$	22.8257	+	2.68492i	1.12454	+	0.132277i
$413$	20.3283	+	4.63980i	1.00029	+	0.228310i
$414$	1.25949	−	7.75309i	0.0619006	−	0.381043i
$415$	5.43721	−	11.2905i	0.266902	−	0.554228i
$416$	−18.5789	−	3.39082i	−0.910904	−	0.166249i
$417$	−0.0546177	−	11.2603i	−0.00267464	−	0.551418i
$418$	3.52204	−	8.44452i	0.172269	−	0.413035i
$419$	−32.6488	+	15.7228i	−1.59500	+	0.768110i	−0.999382	−	0.0351607i	$-0.988806\pi$
$419$	−32.6488	+	15.7228i	−1.59500	+	0.768110i	−0.595615	+	0.803270i	$0.703091\pi$
$420$	15.5063	−	24.6760i	0.756630	−	1.20407i
$421$	−3.40965	+	2.71911i	−0.166176	+	0.132521i	−0.703047	−	0.711143i	$-0.748178\pi$
$421$	−3.40965	+	2.71911i	−0.166176	+	0.132521i	0.536871	+	0.843664i	$0.319606\pi$
$422$	−22.4475	+	1.20558i	−1.09273	+	0.0586870i
$423$	−13.9235	+	11.3263i	−0.676984	+	0.550705i
$424$	8.51074	−	9.38409i	0.413318	−	0.455731i
$425$	0.656346	+	2.87564i	0.0318374	+	0.139489i
$426$	−2.77846	−	9.55776i	−0.134617	−	0.463075i
$427$	−28.3104	−	13.6336i	−1.37004	−	0.659775i
$428$	4.75528	−	2.95561i	0.229855	−	0.142865i
$429$	−8.63597	+	2.01522i	−0.416949	+	0.0972959i
$430$	−8.89508	−	16.1878i	−0.428959	−	0.780644i
$431$	1.98319	+	8.68891i	0.0955268	+	0.418530i	0.999967	−	0.00806924i	$-0.00256855\pi$
$431$	1.98319	+	8.68891i	0.0955268	+	0.418530i	−0.904441	+	0.426599i	$0.859711\pi$
$432$	0.0991984	+	20.7844i	0.00477268	+	0.999989i
$433$	−5.79092	−	4.61810i	−0.278294	−	0.221932i	0.474389	−	0.880315i	$-0.342669\pi$
$433$	−5.79092	−	4.61810i	−0.278294	−	0.221932i	−0.752683	+	0.658384i	$0.771240\pi$
$434$	−13.1393	+	31.5030i	−0.630705	+	1.51219i
$435$	16.7333	−	6.92163i	0.802303	−	0.331867i
$436$	7.02559	+	7.09463i	0.336465	+	0.339771i
$437$	4.86973	−	6.10645i	0.232951	−	0.292111i
$438$	−10.2718	−	18.4802i	−0.490804	−	0.883019i
$439$	−16.1874	+	3.69468i	−0.772584	+	0.176337i	−0.590600	−	0.806964i	$-0.701109\pi$
$439$	−16.1874	+	3.69468i	−0.772584	+	0.176337i	−0.181984	+	0.983302i	$0.558252\pi$
$440$	−8.07469	−	2.39055i	−0.384946	−	0.113965i
$441$	7.52845	−	34.5247i	0.358498	−	1.64404i
$442$	−6.56972	+	9.21136i	−0.312490	+	0.438140i
$443$	−5.19206	+	10.7814i	−0.246682	+	0.512241i	−0.987139	−	0.159863i	$-0.948895\pi$
$443$	−5.19206	+	10.7814i	−0.246682	+	0.512241i	0.740457	+	0.672104i	$0.234609\pi$
$444$	−2.80028	−	0.315626i	−0.132895	−	0.0149789i
$445$	17.8913	−	4.08358i	0.848130	−	0.193580i
$446$	0.359707	+	6.69760i	0.0170326	+	0.317141i
$447$	12.5685	−	26.4260i	0.594471	−	1.24991i
$448$	−32.5506	−	11.9287i	−1.53787	−	0.563576i
$449$	−19.2048	−	24.0821i	−0.906333	−	1.13651i	−0.990148	−	0.140024i	$-0.955282\pi$
$449$	−19.2048	−	24.0821i	−0.906333	−	1.13651i	0.0838154	−	0.996481i	$-0.473289\pi$
$450$	2.99093	−	4.28080i	0.140994	−	0.201799i
$451$	−8.18539	−	16.9971i	−0.385435	−	0.800364i
$452$	29.0147	+	29.2998i	1.36474	+	1.37815i
$453$	0.0357290	+	7.36609i	0.00167870	+	0.346089i
$454$	3.94061	−	22.8543i	0.184942	−	1.07261i
$455$	−25.3059	−	12.1867i	−1.18636	−	0.571321i
$456$	−10.0421	+	18.0637i	−0.470265	+	0.845912i
$457$	4.11771	−	18.0409i	0.192618	−	0.843917i	−0.782574	−	0.622558i	$-0.786094\pi$
$457$	4.11771	−	18.0409i	0.192618	−	0.843917i	0.975192	−	0.221359i	$-0.0710493\pi$
$458$	2.38666	−	0.681270i	0.111521	−	0.0318337i
$459$	11.2961	+	5.23880i	0.527255	+	0.244526i
$460$	−6.06800	−	3.85429i	−0.282922	−	0.179707i
$461$	−2.14980	+	9.41889i	−0.100126	+	0.438682i	0.899871	+	0.436157i	$0.143661\pi$
$461$	−2.14980	+	9.41889i	−0.100126	+	0.438682i	−0.999997	+	0.00252464i	$0.999196\pi$
$462$	−16.2506	+	0.951838i	−0.756046	+	0.0442835i
$463$			13.5857i			0.631381i	0.948862	+	0.315691i	$0.102236\pi$
$463$			13.5857i			0.631381i	−0.948862	+	0.315691i	$0.897764\pi$
$464$	−12.1980	−	17.7541i	−0.566278	−	0.824215i
$465$	8.04419	−	16.9133i	0.373040	−	0.784336i
$466$	−13.4235	−	24.4289i	−0.621832	−	1.13165i
$467$	11.4509	+	2.61358i	0.529882	+	0.120942i	0.479088	−	0.877767i	$-0.340968\pi$
$467$	11.4509	+	2.61358i	0.529882	+	0.120942i	0.0507944	+	0.998709i	$0.483825\pi$
$468$	19.8944	−	2.33855i	0.919619	−	0.108100i
$469$	36.5997	−	45.8946i	1.69002	−	2.11922i
$470$	4.50881	+	15.7955i	0.207976	+	0.728592i
$471$	14.9474	+	11.8020i	0.688739	+	0.543806i
$472$	−0.862721	+	13.5821i	−0.0397099	+	0.625166i
$473$	−4.47637	+	9.29528i	−0.205824	+	0.427398i
$474$	2.85931	−	4.05043i	0.131332	−	0.186042i
$475$	4.67848	−	2.25303i	0.214663	−	0.103376i
$476$	−14.7574	+	14.6138i	−0.676403	+	0.669820i
$477$	−5.71242	+	12.1624i	−0.261554	+	0.556877i
$478$	10.2472	+	35.8986i	0.468697	+	1.64196i
$479$	27.4195	−	21.8663i	1.25283	−	0.999096i	0.253330	−	0.967380i	$-0.418474\pi$
$479$	27.4195	−	21.8663i	1.25283	−	0.999096i	0.999497	−	0.0317165i	$-0.0100974\pi$
$480$	17.5199	+	7.40877i	0.799669	+	0.338163i
$481$			2.71588i			0.123834i
$482$	14.4417	−	0.775616i	0.657801	−	0.0353284i
$483$	−13.5624	−	3.02639i	−0.617109	−	0.137705i
$484$	−5.63272	−	16.3534i	−0.256033	−	0.743338i
$485$	−34.1962	−	16.4680i	−1.55277	−	0.747773i
$486$	−6.56343	−	21.0457i	−0.297723	−	0.954652i
$487$	10.0226	−	7.99276i	0.454167	−	0.362186i	−0.369527	−	0.929220i	$-0.620480\pi$
$487$	10.0226	−	7.99276i	0.454167	−	0.362186i	0.823695	+	0.567033i	$0.191909\pi$
$488$	5.82205	−	19.6655i	0.263552	−	0.890214i
$489$	−0.745655	+	3.34156i	−0.0337197	+	0.151110i
$490$	−26.3289	−	18.7783i	−1.18942	−	0.848317i
$491$	20.3241	+	16.2079i	0.917213	+	0.731453i	0.963566	−	0.267472i	$-0.0861884\pi$
$491$	20.3241	+	16.2079i	0.917213	+	0.731453i	−0.0463527	+	0.998925i	$0.514760\pi$
$492$	14.0729	+	40.2232i	0.634457	+	1.81340i
$493$	−12.7337	+	2.09368i	−0.573497	+	0.0942945i
$494$	18.3836	+	7.66742i	0.827115	+	0.344974i
$495$	8.93153	−	0.0866463i	0.401442	−	0.00389446i
$496$	−21.6706	−	5.16963i	−0.973039	−	0.232123i
$497$	−17.1673	+	3.91832i	−0.770059	+	0.175761i
$498$	15.7839	−	0.924502i	0.707293	−	0.0414279i
$499$	2.74249	−	2.18706i	0.122771	−	0.0979065i	−0.560180	−	0.828371i	$-0.689268\pi$
$499$	2.74249	−	2.18706i	0.122771	−	0.0979065i	0.682950	+	0.730465i	$0.260696\pi$
$500$	−12.7714	−	20.5479i	−0.571155	−	0.918932i
$501$	13.3521	+	16.5774i	0.596527	+	0.740623i
$502$	−19.5877	+	17.4187i	−0.874241	+	0.777434i
$503$	−7.22167	+	1.64830i	−0.321998	+	0.0734940i	−0.380465	−	0.924795i	$-0.624236\pi$
$503$	−7.22167	+	1.64830i	−0.321998	+	0.0734940i	0.0584667	+	0.998289i	$0.481379\pi$
$504$	36.7174	+	1.97483i	1.63552	+	0.0879661i
$505$		−	15.5583i		−	0.692336i
$506$	0.215337	+	4.00949i	0.00957288	+	0.178243i
$507$	0.729743	+	3.12721i	0.0324090	+	0.138884i
$508$	−5.22978	+	44.4606i	−0.232034	+	1.97262i
$509$	16.9471	+	35.1911i	0.751168	+	1.55982i	0.826680	+	0.562672i	$0.190227\pi$
$509$	16.9471	+	35.1911i	0.751168	+	1.55982i	−0.0755118	+	0.997145i	$0.524059\pi$
$510$	8.47888	−	7.61396i	0.375451	−	0.337152i
$511$	−33.7003	+	16.2292i	−1.49081	+	0.717938i
$512$	4.28009	−	22.2189i	0.189155	−	0.981947i
$513$	4.56642	−	21.4402i	0.201612	−	0.946609i
$514$	−10.1983	+	9.06899i	−0.449827	+	0.400016i
$515$	−4.96443	+	21.7506i	−0.218759	+	0.958445i
$516$	12.3995	−	19.7320i	0.545857	−	0.868651i
$517$	5.72060	−	7.17340i	0.251592	−	0.315486i
$518$	−0.847096	+	4.91289i	−0.0372193	+	0.215860i
$519$	−12.6537	−	9.99094i	−0.555434	−	0.438553i
$520$	5.20418	−	17.5784i	0.228218	−	0.770866i
$521$		−	25.0519i		−	1.09754i	−0.835972	−	0.548772i	$-0.815095\pi$
$521$		−	25.0519i		−	1.09754i	0.835972	−	0.548772i	$-0.184905\pi$
$522$	17.8901	+	14.2108i	0.783026	+	0.621989i
$523$		−	5.56454i		−	0.243320i	−0.992572	−	0.121660i	$-0.961178\pi$
$523$		−	5.56454i		−	0.243320i	0.992572	−	0.121660i	$-0.0388218\pi$
$524$	−0.0638463	−	0.592683i	−0.00278914	−	0.0258915i
$525$	−7.25089	−	5.72508i	−0.316455	−	0.249863i
$526$	−6.04217	−	1.04181i	−0.263451	−	0.0454250i
$527$	−8.32161	+	10.4350i	−0.362495	+	0.454554i
$528$	−2.31319	−	10.3700i	−0.100669	−	0.451298i
$529$	4.35527	−	19.0817i	0.189360	−	0.829639i
$530$	8.17200	+	9.18959i	0.354969	+	0.399170i
$531$	−3.34846	−	14.0413i	−0.145311	−	0.609339i
$532$	30.8634	+	19.6039i	1.33810	+	0.849937i
$533$	37.0025	−	17.8195i	1.60275	−	0.771846i
$534$	15.4700	+	17.2274i	0.669454	+	0.745502i
$535$	2.35814	+	4.89674i	0.101951	+	0.211704i
$536$	33.3968	+	18.7788i	1.44252	+	0.811120i
$537$	6.93530	+	29.7203i	0.299280	+	1.28252i
$538$	27.3384	−	1.46826i	1.17864	−	0.0633011i
$539$			18.0635i			0.778049i
$540$	−20.0699	−	2.06516i	−0.863671	−	0.0888705i
$541$	18.7409	−	4.27750i	0.805736	−	0.183904i	0.200234	−	0.979748i	$-0.435830\pi$
$541$	18.7409	−	4.27750i	0.805736	−	0.183904i	0.605501	+	0.795844i	$0.292973\pi$
$542$	21.5414	+	24.2238i	0.925283	+	1.04050i
$543$	−1.49298	−	1.85362i	−0.0640698	−	0.0795463i
$544$	−10.9588	−	7.97886i	−0.469856	−	0.342091i
$545$	−7.57766	+	6.04298i	−0.324591	+	0.258853i
$546$	−2.07213	−	35.3772i	−0.0886791	−	1.51401i
$547$	8.31384	−	1.89758i	0.355474	−	0.0811346i	−0.0410548	−	0.999157i	$-0.513072\pi$
$547$	8.31384	−	1.89758i	0.355474	−	0.0811346i	0.396529	+	0.918022i	$0.370215\pi$
$548$	35.5095	−	22.0707i	1.51689	−	0.942812i
$549$	0.211022	+	21.7523i	0.00900622	+	0.928364i
$550$	−1.02761	+	2.46381i	−0.0438173	+	0.105057i
$551$	8.58185	+	21.0353i	0.365599	+	0.896133i
$552$	0.531039	−	9.05429i	0.0226025	−	0.385376i
$553$	−6.85765	−	5.46879i	−0.291617	−	0.232557i
$554$	−8.29221	+	11.6264i	−0.352302	+	0.493960i
$555$	0.595757	−	2.66981i	0.0252885	−	0.113327i
$556$	−1.39262	−	12.9276i	−0.0590601	−	0.548253i
$557$	−6.01698	+	4.79838i	−0.254948	+	0.203314i	−0.742620	−	0.669713i	$-0.766417\pi$
$557$	−6.01698	+	4.79838i	−0.254948	+	0.203314i	0.487673	+	0.873026i	$0.337846\pi$
$558$	23.5827	−	1.49611i	0.998336	−	0.0633354i
$559$	−20.2357	−	9.74498i	−0.855877	−	0.412169i
$560$	14.8969	−	30.1753i	0.629509	−	1.27514i
$561$	−6.21243	−	1.38628i	−0.262289	−	0.0585287i
$562$	0.533558	+	9.93465i	0.0225068	+	0.419068i
$563$			19.4264i			0.818725i	0.912372	+	0.409363i	$0.134249\pi$
$563$			19.4264i			0.818725i	−0.912372	+	0.409363i	$0.865751\pi$
$564$	−14.6555	+	14.6543i	−0.617107	+	0.617059i
$565$	−31.2947	+	24.9567i	−1.31658	+	1.04994i
$566$	−22.0471	+	6.29332i	−0.926708	+	0.264528i
$567$	−37.8476	+	9.41456i	−1.58945	+	0.395374i
$568$	−4.32028	−	10.6503i	−0.181275	−	0.446878i
$569$	−33.3115	+	16.0420i	−1.39649	+	0.672514i	−0.972446	−	0.233128i	$-0.925104\pi$
$569$	−33.3115	+	16.0420i	−1.39649	+	0.672514i	−0.424043	+	0.905642i	$0.639390\pi$
$570$	−16.3898	−	11.5700i	−0.686492	−	0.484613i
$571$	0.673807	−	1.39918i	0.0281980	−	0.0585537i	−0.886394	−	0.462931i	$-0.846798\pi$
$571$	0.673807	−	1.39918i	0.0281980	−	0.0585537i	0.914592	+	0.404378i	$0.132512\pi$
$572$	−9.68166	+	3.33472i	−0.404810	+	0.139431i
$573$	−24.2755	−	19.1672i	−1.01412	−	0.800719i
$574$	72.4936	−	20.6932i	3.02582	−	0.863719i
$575$	−1.42081	+	1.78165i	−0.0592521	+	0.0742998i
$576$	2.56866	+	23.8621i	0.107027	+	0.994256i
$577$	−38.7904	−	8.85366i	−1.61487	−	0.368583i	−0.682725	−	0.730676i	$-0.739205\pi$
$577$	−38.7904	−	8.85366i	−1.61487	−	0.368583i	−0.932142	+	0.362093i	$0.882062\pi$
$578$	13.9529	−	7.66701i	0.580363	−	0.318905i
$579$	2.66576	−	5.60489i	0.110785	−	0.232931i
$580$	18.4032	−	9.92677i	0.764151	−	0.412187i
$581$		−	27.9714i		−	1.16045i
$582$	−2.80010	−	47.8056i	−0.116068	−	1.98161i
$583$	1.52848	−	6.69671i	0.0633031	−	0.277349i
$584$	−13.9812	−	20.0141i	−0.578546	−	0.828188i
$585$	0.188627	+	19.4438i	0.00779878	+	0.803901i
$586$	−1.32721	−	4.64955i	−0.0548265	−	0.192071i
$587$	−8.47247	+	37.1203i	−0.349696	+	1.53212i	0.428175	+	0.903696i	$0.359157\pi$
$587$	−8.47247	+	37.1203i	−0.349696	+	1.53212i	−0.777871	+	0.628424i	$0.783700\pi$
$588$	4.57001	−	40.5458i	0.188464	−	1.67208i
$589$	21.1700	+	10.1949i	0.872294	+	0.420075i
$590$	−13.0188	−	2.24473i	−0.535974	−	0.0924142i
$591$	0.0774300	+	15.9634i	0.00318504	+	0.656646i
$592$	−3.25380	−	0.0318186i	−0.133730	−	0.00130774i
$593$	17.5926	+	36.5313i	0.722440	+	1.50016i	0.860342	+	0.509716i	$0.170250\pi$
$593$	17.5926	+	36.5313i	0.722440	+	1.50016i	−0.137902	+	0.990446i	$0.544036\pi$
$594$	5.57024	+	9.79654i	0.228550	+	0.401957i
$595$	−12.5699	−	15.7621i	−0.515314	−	0.646183i
$596$	11.3158	−	31.8384i	0.463512	−	1.30415i
$597$	−8.04058	+	16.9057i	−0.329079	+	0.691905i
$598$	−8.72858	+	0.468784i	−0.356938	+	0.0191700i
$599$	16.0420	−	3.66147i	0.655457	−	0.149604i	0.118157	−	0.992995i	$-0.462301\pi$
$599$	16.0420	−	3.66147i	0.655457	−	0.149604i	0.537300	+	0.843391i	$0.319444\pi$
$600$	2.92994	−	5.27036i	0.119614	−	0.215162i
$601$	−17.0426	+	35.3893i	−0.695182	+	1.44356i	0.191649	+	0.981464i	$0.438617\pi$
$601$	−17.0426	+	35.3893i	−0.695182	+	1.44356i	−0.886830	+	0.462096i	$0.847098\pi$
$602$	−33.5658	−	23.9398i	−1.36804	−	0.975712i
$603$	−39.7054	−	8.65815i	−1.61693	−	0.352587i
$604$	0.911003	+	8.45680i	0.0370682	+	0.344102i
$605$	16.3688	−	3.73607i	0.665485	−	0.151893i
$606$	17.1577	−	9.53666i	0.696982	−	0.387400i
$607$	11.2219	−	14.0718i	0.455482	−	0.571156i	−0.500068	−	0.865986i	$-0.666692\pi$
$607$	11.2219	−	14.0718i	0.455482	−	0.571156i	0.955550	+	0.294830i	$0.0952631\pi$
$608$	−9.40144	+	21.9348i	−0.381279	+	0.889575i
$609$	26.9481	−	30.1254i	1.09199	−	1.22074i
$610$	18.3744	+	7.66360i	0.743957	+	0.310290i
$611$	15.6164	+	12.4536i	0.631771	+	0.503820i
$612$	13.5939	+	4.68341i	0.549500	+	0.189316i
$613$	−1.31876	−	5.77786i	−0.0532642	−	0.233366i	0.941288	−	0.337604i	$-0.109617\pi$
$613$	−1.31876	−	5.77786i	−0.0532642	−	0.233366i	−0.994552	+	0.104239i	$0.966759\pi$
$614$	−30.9204	+	16.9905i	−1.24784	+	0.685682i
$615$	−40.2836	+	9.40028i	−1.62439	+	0.379056i
$616$	−18.5537	+	3.01258i	−0.747552	+	0.121380i
$617$	4.79885	+	2.31101i	0.193194	+	0.0930376i	0.527980	−	0.849257i	$-0.322950\pi$
$617$	4.79885	+	2.31101i	0.193194	+	0.0930376i	−0.334786	+	0.942294i	$0.608664\pi$
$618$	−27.0295	+	7.85753i	−1.08728	+	0.316076i
$619$	0.605639	+	2.65348i	0.0243427	+	0.106652i	0.985640	−	0.168862i	$-0.0540091\pi$
$619$	0.605639	+	2.65348i	0.0243427	+	0.106652i	−0.961297	+	0.275514i	$0.911152\pi$
$620$	7.24239	−	20.3774i	0.290862	−	0.818377i
$621$	2.27690	+	9.34670i	0.0913689	+	0.375070i
$622$	2.15770	+	40.1755i	0.0865157	+	1.61089i
$623$	32.0254	−	25.5394i	1.28307	−	1.02322i
$624$	22.5754	−	5.03577i	0.903739	−	0.201592i
$625$	15.6143	−	7.51946i	0.624573	−	0.300778i
$626$	−13.9015	−	5.79805i	−0.555616	−	0.231737i
$627$	0.0543532	+	11.2058i	0.00217066	+	0.447515i
$628$	18.5631	+	11.7909i	0.740747	+	0.470510i
$629$	−0.845810	+	1.75634i	−0.0337247	+	0.0700300i
$630$	−5.72339	+	35.2316i	−0.228025	+	1.40366i
$631$	47.3293	+	10.8026i	1.88415	+	0.430045i	0.999354	−	0.0359311i	$-0.0114397\pi$
$631$	47.3293	+	10.8026i	1.88415	+	0.430045i	0.884797	+	0.465976i	$0.154297\pi$
$632$	2.80596	−	4.99020i	0.111615	−	0.198499i
$633$	24.7474	−	12.0659i	0.983619	−	0.479577i
$634$	−0.0118468	+	0.0687080i	−0.000470498	+	0.00272874i
$635$	−42.3665	−	9.66987i	−1.68126	−	0.383737i
$636$	−5.12512	+	14.6449i	−0.203224	+	0.580709i
$637$	−39.3239			−1.55807
$638$	−10.4830	−	5.14922i	−0.415025	−	0.203859i
$639$	7.69269	+	9.45667i	0.304318	+	0.374100i
$640$	20.9991	+	6.44088i	0.830063	+	0.254598i
$641$	1.41999	−	6.22136i	0.0560861	−	0.245729i	−0.939112	−	0.343611i	$-0.888350\pi$
$641$	1.41999	−	6.22136i	0.0560861	−	0.245729i	0.995198	+	0.0978823i	$0.0312069\pi$
$642$	−3.95465	+	5.60206i	−0.156078	+	0.221096i
$643$	−7.84182	−	6.25364i	−0.309251	−	0.246620i	0.456549	−	0.889698i	$-0.349085\pi$
$643$	−7.84182	−	6.25364i	−0.309251	−	0.246620i	−0.765800	+	0.643079i	$0.777657\pi$
$644$	−15.9358	−	1.87448i	−0.627958	−	0.0738648i
$645$	17.7547	+	14.0186i	0.699091	+	0.551981i
$646$	9.50065	+	10.6837i	0.373798	+	0.420344i
$647$	3.69104	+	1.77751i	0.145110	+	0.0698812i	0.505029	−	0.863102i	$-0.331482\pi$
$647$	3.69104	+	1.77751i	0.145110	+	0.0698812i	−0.359920	+	0.932983i	$0.617196\pi$
$648$	−10.0246	−	23.3989i	−0.393804	−	0.919194i
$649$	3.20165	+	6.64829i	0.125676	+	0.260968i
$650$	−5.36367	−	2.23708i	−0.210380	−	0.0877456i
$651$	−0.202769	−	41.8040i	−0.00794715	−	1.63843i
$652$	−0.461842	+	3.92633i	−0.0180871	+	0.153767i
$653$	15.1633	+	19.0142i	0.593386	+	0.744083i	0.984331	−	0.176332i	$-0.0564231\pi$
$653$	15.1633	+	19.0142i	0.593386	+	0.744083i	−0.390945	+	0.920414i	$0.627852\pi$
$654$	−11.3090	−	4.65250i	−0.442217	−	0.181927i
$655$	0.578653			0.0226098
$656$	20.9153	+	44.5401i	0.816606	+	1.73900i
$657$	20.4011	+	15.9480i	0.795921	+	0.622191i
$658$	24.3649	+	27.3988i	0.949842	+	1.06812i
$659$	−4.18039	+	8.68066i	−0.162845	+	0.338150i	−0.966385	−	0.257100i	$-0.917233\pi$
$659$	−4.18039	+	8.68066i	−0.162845	+	0.338150i	0.803540	+	0.595251i	$0.202947\pi$
$660$	10.2489	−	1.15437i	0.398939	−	0.0449339i
$661$	4.08366	+	5.12075i	0.158836	+	0.199174i	0.854881	−	0.518824i	$-0.173630\pi$
$661$	4.08366	+	5.12075i	0.158836	+	0.199174i	−0.696045	+	0.717998i	$0.745059\pi$
$662$	−2.27026	+	1.24749i	−0.0882362	+	0.0484852i
$663$	3.01790	−	13.5243i	0.117206	−	0.525242i
$664$	18.0209	−	2.92606i	0.699346	−	0.113553i
$665$	−22.1291	+	27.7490i	−0.858129	+	1.07606i
$666$	3.30943	−	0.979493i	0.128238	−	0.0379546i
$667$	−7.39846	−	6.68304i	−0.286470	−	0.258768i
$668$	17.2947	+	17.4646i	0.669150	+	0.675726i
$669$	−3.60007	−	7.38379i	−0.139187	−	0.285474i
$670$	−21.5961	+	30.2798i	−0.834331	+	1.16981i
$671$	−2.47445	−	10.8413i	−0.0955252	−	0.418523i
$672$	42.4084	−	2.06808i	1.63594	−	0.0797777i
$673$	0.424370	+	0.532143i	0.0163583	+	0.0205126i	0.789943	−	0.613180i	$-0.210110\pi$
$673$	0.424370	+	0.532143i	0.0163583	+	0.0205126i	−0.773585	+	0.633692i	$0.781538\pi$
$674$	17.4670	+	12.4578i	0.672805	+	0.479857i
$675$	−1.33232	+	6.25550i	−0.0512810	+	0.240774i
$676$	1.20755	+	3.50587i	0.0464443	+	0.134841i
$677$	−5.86606	−	25.7009i	−0.225451	−	0.987766i	−0.953299	−	0.302027i	$-0.902337\pi$
$677$	−5.86606	−	25.7009i	−0.225451	−	0.987766i	0.727848	−	0.685738i	$-0.240521\pi$
$678$	−46.7046	−	19.2142i	−1.79368	−	0.737915i
$679$	−84.7188			−3.25121
$680$	8.83999	−	9.74712i	0.338998	−	0.373785i
$681$	6.45466	+	27.6606i	0.247343	+	1.05996i
$682$	−11.6156	+	3.31565i	−0.444782	+	0.126963i
$683$	23.3517	−	11.2456i	0.893529	−	0.430301i	0.0699816	−	0.997548i	$-0.477706\pi$
$683$	23.3517	−	11.2456i	0.893529	−	0.430301i	0.823547	+	0.567247i	$0.191992\pi$
$684$	2.71302	−	25.1665i	0.103735	−	0.962266i
$685$	17.6092	+	36.5658i	0.672812	+	1.39711i
$686$	−28.8598	−	4.97610i	−1.10187	−	0.189988i
$687$	−2.36739	+	1.90679i	−0.0903217	+	0.0727486i
$688$	11.9122	−	24.1294i	0.454148	−	0.919926i
$689$	14.5786	+	3.32747i	0.555401	+	0.126767i
$690$	8.68334	+	1.45387i	0.330569	+	0.0553481i
$691$	−20.9873	−	16.7369i	−0.798396	−	0.636700i	0.136892	−	0.990586i	$-0.456289\pi$
$691$	−20.9873	−	16.7369i	−0.798396	−	0.636700i	−0.935289	+	0.353886i	$0.884860\pi$
$692$	−15.7145	−	9.98159i	−0.597377	−	0.379443i
$693$	17.8778	−	8.82416i	0.679122	−	0.335202i
$694$	−6.28138	+	3.45158i	−0.238438	+	0.131020i
$695$	12.6216			0.478764
$696$	22.2277	+	14.2102i	0.842537	+	0.538638i
$697$	29.4788			1.11659
$698$	−36.1027	+	19.8382i	−1.36651	+	0.750887i
$699$	26.7935	+	21.1553i	1.01342	+	0.800168i
$700$	−9.00485	−	5.71972i	−0.340351	−	0.216185i
$701$	−4.41761	−	3.52293i	−0.166851	−	0.133059i	0.536505	−	0.843897i	$-0.319744\pi$
$701$	−4.41761	−	3.52293i	−0.166851	−	0.133059i	−0.703356	+	0.710838i	$0.748316\pi$
$702$	−21.3269	+	12.1263i	−0.804932	+	0.457678i
$703$	3.34584	+	0.763666i	0.126191	+	0.0288022i
$704$	−3.88177	−	11.6383i	−0.146300	−	0.438635i
$705$	−12.6196	−	15.6680i	−0.475282	−	0.590091i
$706$	−3.68338	−	0.635100i	−0.138626	−	0.0239023i
$707$	−15.0677	−	31.2885i	−0.566681	−	1.17673i
$708$	−5.50451	−	15.7330i	−0.206872	−	0.591281i
$709$	−27.5931	+	13.2881i	−1.03628	+	0.499046i	−0.873095	−	0.487549i	$-0.837891\pi$
$709$	−27.5931	+	13.2881i	−1.03628	+	0.499046i	−0.163185	+	0.986596i	$0.552177\pi$
$710$	10.7281	−	3.06233i	0.402618	−	0.114927i
$711$	−1.29371	+	5.93285i	−0.0485181	+	0.222499i
$712$	19.8042	+	17.9611i	0.742194	+	0.673120i
$713$	−10.3116			−0.386171
$714$	9.67754	−	23.5236i	0.362173	−	0.880347i
$715$	−2.21185	−	9.69074i	−0.0827184	−	0.362413i
$716$	11.4763	+	33.3190i	0.428888	+	1.24519i
$717$	−28.6807	−	35.6088i	−1.07110	−	1.32984i
$718$	−18.4187	−	13.1366i	−0.687381	−	0.490253i
$719$	−13.8029	−	17.3083i	−0.514762	−	0.645491i	0.454725	−	0.890632i	$-0.349737\pi$
$719$	−13.8029	−	17.3083i	−0.514762	−	0.645491i	−0.969488	+	0.245140i	$0.921166\pi$
$720$	−23.2971	−	0.00181095i	−0.868231	−	6.74900e-5i
$721$	11.0811	+	48.5493i	0.412680	+	1.80807i
$722$	−0.987371	+	1.38439i	−0.0367461	+	0.0515215i
$723$	−15.9213	+	7.76264i	−0.592119	+	0.288696i
$724$	−1.93382	−	1.95282i	−0.0718698	−	0.0725761i
$725$	−2.50388	−	6.13735i	−0.0929917	−	0.227935i
$726$	14.1536	+	15.7613i	0.525288	+	0.584959i
$727$	23.9266	−	30.0030i	0.887389	−	1.11275i	−0.105584	−	0.994410i	$-0.533671\pi$
$727$	23.9266	−	30.0030i	0.887389	−	1.11275i	0.992973	−	0.118340i	$-0.0377574\pi$
$728$	−6.55833	−	40.3912i	−0.243068	−	1.49700i
$729$	17.4413	+	20.6107i	0.645976	+	0.763358i
$730$	20.7697	−	11.4128i	0.768722	−	0.422408i
$731$	−10.0514	−	12.6040i	−0.371764	−	0.466177i
$732$	2.81141	+	24.9607i	0.103913	+	0.922574i
$733$	11.8857	−	24.6809i	0.439008	−	0.911610i	−0.557662	−	0.830068i	$-0.688301\pi$
$733$	11.8857	−	24.6809i	0.439008	−	0.911610i	0.996670	−	0.0815414i	$-0.0259843\pi$
$734$	−15.8208	−	17.7908i	−0.583957	−	0.656672i
$735$	38.6568	+	8.62610i	1.42588	+	0.318179i
$736$	−0.459371	−	10.4629i	−0.0169326	−	0.385667i
$737$	20.7740			0.765221
$738$	−35.0589	−	38.6626i	−1.29054	−	1.42319i
$739$	28.7157	+	36.0084i	1.05632	+	1.32459i	0.943646	+	0.330957i	$0.107372\pi$
$739$	28.7157	+	36.0084i	1.05632	+	1.32459i	0.112679	+	0.993631i	$0.464057\pi$
$740$	0.368999	−	3.13702i	0.0135647	−	0.115319i
$741$	−24.3947	+	0.118326i	−0.896163	+	0.00434681i
$742$	25.3341	+	10.5664i	0.930044	+	0.387903i
$743$	−0.863701	−	1.79349i	−0.0316861	−	0.0657969i	0.884525	−	0.466493i	$-0.154483\pi$
$743$	−0.863701	−	1.79349i	−0.0316861	−	0.0657969i	−0.916211	+	0.400696i	$0.868768\pi$
$744$	26.9115	−	4.50371i	0.986622	−	0.165114i
$745$	29.5517	+	14.2313i	1.08269	+	0.521396i
$746$	28.5124	+	32.0628i	1.04391	+	1.17390i
$747$	−17.3644	+	8.57074i	−0.635329	+	0.313587i
$748$	−7.29960	−	0.858630i	−0.266900	−	0.0313946i
$749$	9.48467	+	7.56377i	0.346562	+	0.276374i
$750$	24.2070	+	17.0884i	0.883914	+	0.623979i
$751$	7.51185	−	32.9115i	0.274111	−	1.20096i	−0.631000	−	0.775783i	$-0.717355\pi$
$751$	7.51185	−	32.9115i	0.274111	−	1.20096i	0.905111	−	0.425176i	$-0.139788\pi$
$752$	−15.1032	+	18.5635i	−0.550757	+	0.676941i
$753$	13.7887	−	28.9914i	0.502488	−	1.05651i
$754$	11.2097	−	22.8212i	0.408235	−	0.831101i
$755$	−8.25661			−0.300489
$756$	−42.3615	+	15.2839i	−1.54067	+	0.555871i
$757$	−40.1719	−	9.16898i	−1.46007	−	0.333252i	−0.582554	−	0.812792i	$-0.697946\pi$
$757$	−40.1719	−	9.16898i	−1.46007	−	0.333252i	−0.877520	+	0.479540i	$0.840804\pi$
$758$	4.00935	−	23.2530i	0.145626	−	0.844586i
$759$	−2.15517	−	4.42027i	−0.0782275	−	0.160446i
$760$	−20.1925	−	11.3541i	−0.732458	−	0.411857i
$761$	−0.117311	−	0.0267755i	−0.00425253	−	0.000970613i	0.220394	−	0.975411i	$-0.429266\pi$
$761$	−0.117311	−	0.0267755i	−0.00425253	−	0.000970613i	−0.224647	+	0.974440i	$0.572123\pi$
$762$	−15.3051	−	52.6488i	−0.554447	−	1.90727i
$763$	−9.38659	+	19.4914i	−0.339817	+	0.705638i
$764$	−30.1476	−	19.1492i	−1.09070	−	0.692795i
$765$	−5.93341	+	12.6329i	−0.214523	+	0.456744i
$766$	−9.20300	−	3.83839i	−0.332518	−	0.138687i
$767$	−14.4732	+	6.96993i	−0.522597	+	0.251670i
$768$	5.76868	+	27.1058i	0.208159	+	0.978095i
$769$	0.432700	−	0.345067i	0.0156036	−	0.0124434i	−0.615657	−	0.788014i	$-0.711109\pi$
$769$	0.432700	−	0.345067i	0.0156036	−	0.0124434i	0.631261	+	0.775571i	$0.282538\pi$
$770$	−0.978534	−	18.2199i	−0.0352639	−	0.656601i
$771$	7.17906	−	15.0943i	0.258547	−	0.543609i
$772$	2.40005	−	6.75287i	0.0863798	−	0.243041i
$773$	−7.07219	−	30.9853i	−0.254369	−	1.11446i	−0.927170	−	0.374640i	$-0.877766\pi$
$773$	−7.07219	−	30.9853i	−0.254369	−	1.11446i	0.672801	−	0.739823i	$-0.265091\pi$
$774$	−4.57666	+	28.1727i	−0.164505	+	1.01265i
$775$	−6.17665	−	2.97452i	−0.221872	−	0.106848i
$776$	−8.86234	−	54.5810i	−0.318139	−	1.95934i
$777$	−1.38753	−	5.94608i	−0.0497774	−	0.213315i
$778$	−23.1056	+	12.6964i	−0.828377	+	0.455188i
$779$	−11.5482	−	50.5959i	−0.413756	−	1.81278i
$780$	2.51305	+	22.3117i	0.0899816	+	0.798887i
$781$	−4.87209	−	3.88536i	−0.174337	−	0.139029i
$782$	−5.79071	−	2.41519i	−0.207075	−	0.0863671i
$783$	−26.9588	−	7.49838i	−0.963427	−	0.267970i
$784$	0.460709	−	47.1125i	0.0164539	−	1.68259i
$785$	−13.3097	+	16.6899i	−0.475045	+	0.595687i
$786$	0.354692	+	0.638136i	0.0126514	+	0.0227616i
$787$	−19.6998	+	4.49636i	−0.702223	+	0.160278i	−0.558701	−	0.829369i	$-0.688700\pi$
$787$	−19.6998	+	4.49636i	−0.702223	+	0.160278i	−0.143522	+	0.989647i	$0.545843\pi$
$788$	1.97428	+	18.3271i	0.0703307	+	0.652877i
$789$	7.31284	−	1.70647i	0.260344	−	0.0607519i
$790$	4.52445	+	3.22693i	0.160973	+	0.114809i
$791$	−38.7653	+	80.4970i	−1.37834	+	2.86214i
$792$	7.55524	+	10.5949i	0.268464	+	0.376473i
$793$	23.6013	−	5.38684i	0.838106	−	0.191292i
$794$	4.00745	−	0.215227i	0.142219	−	0.00763812i
$795$	−13.6014	−	6.46899i	−0.482391	−	0.229432i
$796$	−7.23915	+	20.3683i	−0.256585	+	0.721935i
$797$	3.60542	+	4.52105i	0.127710	+	0.160144i	0.841576	−	0.540139i	$-0.181628\pi$
$797$	3.60542	+	4.52105i	0.127710	+	0.160144i	−0.713865	+	0.700283i	$0.753057\pi$
$798$	−44.1657	−	7.39478i	−1.56345	−	0.261773i
$799$	6.22055	+	12.9171i	0.220067	+	0.456974i
$800$	2.74301	−	6.39981i	0.0969799	−	0.226267i
$801$	−25.6675	−	12.0555i	−0.906918	−	0.425961i
$802$	4.03077	+	0.694998i	0.142331	+	0.0245412i
$803$	−11.9263	−	5.74341i	−0.420870	−	0.202680i
$804$	−46.6300	−	5.25578i	−1.64451	−	0.185357i
$805$	3.46592	−	15.1852i	0.122158	−	0.535207i
$806$	−7.21811	−	25.2868i	−0.254247	−	0.890691i
$807$	−30.1393	+	14.6949i	−1.06096	+	0.517283i
$808$	18.5817	−	12.9806i	0.653703	−	0.456657i
$809$	−1.64887	+	7.22418i	−0.0579713	+	0.253989i	−0.995607	−	0.0936307i	$-0.970153\pi$
$809$	−1.64887	+	7.22418i	−0.0579713	+	0.253989i	0.937636	+	0.347619i	$0.113010\pi$
$810$	23.6251	−	7.24232i	0.830103	−	0.254469i
$811$		−	34.0406i		−	1.19533i	−0.801747	−	0.597663i	$-0.796096\pi$
$811$		−	34.0406i		−	1.19533i	0.801747	−	0.597663i	$-0.203904\pi$
$812$	27.3959	−	37.7861i	0.961408	−	1.32603i
$813$	−35.8533	−	17.0523i	−1.25743	−	0.598050i
$814$	−1.54623	+	0.849645i	−0.0541955	+	0.0297801i
$815$	−3.74139	−	0.853948i	−0.131055	−	0.0299125i
$816$	16.1677	+	3.77409i	0.565981	+	0.132119i
$817$	−17.6953	+	22.1892i	−0.619081	+	0.776303i
$818$	−20.5838	+	5.87563i	−0.719696	+	0.205437i
$819$	19.2100	+	38.9196i	0.671253	+	1.35996i
$820$	−45.1614	+	15.5552i	−1.57710	+	0.543212i
$821$	−9.83951	+	20.4320i	−0.343401	+	0.713080i	−0.999121	−	0.0419244i	$-0.986651\pi$
$821$	−9.83951	+	20.4320i	−0.343401	+	0.713080i	0.655719	+	0.755005i	$0.272365\pi$
$822$	−29.5309	+	41.8328i	−1.03001	+	1.45909i
$823$	41.1634	−	19.8233i	1.43487	−	0.690996i	0.454972	−	0.890506i	$-0.349649\pi$
$823$	41.1634	−	19.8233i	1.43487	−	0.690996i	0.979896	+	0.199510i	$0.0639351\pi$
$824$	−30.1193	+	12.2178i	−1.04925	+	0.425627i
$825$	−0.0158583	−	3.26944i	−0.000552117	−	0.113827i
$826$	−28.3553	+	8.09399i	−0.986606	+	0.281626i
$827$	10.2041	−	8.13747i	0.354830	−	0.282967i	−0.429810	−	0.902919i	$-0.641419\pi$
$827$	10.2041	−	8.13747i	0.354830	−	0.282967i	0.784640	+	0.619952i	$0.212848\pi$
$828$	3.71923	+	10.4671i	0.129252	+	0.363758i
$829$		−	18.9686i		−	0.658805i	−0.944190	−	0.329403i	$-0.893153\pi$
$829$		−	18.9686i		−	0.658805i	0.944190	−	0.329403i	$-0.106847\pi$
$830$	0.950432	+	17.6967i	0.0329900	+	0.614261i
$831$	3.80915	−	17.0702i	0.132138	−	0.592160i
$832$	25.3364	−	8.45055i	0.878381	−	0.292970i
$833$	−25.4305	−	12.2467i	−0.881114	−	0.424322i
$834$	7.73655	+	13.9190i	0.267895	+	0.481977i
$835$	−18.6537	+	14.8758i	−0.645537	+	0.514798i
$836$	1.38587	+	12.8650i	0.0479315	+	0.444946i
$837$	−25.8893	+	12.9351i	−0.894867	+	0.447101i
$838$	29.7575	−	41.7228i	1.02796	−	1.44129i
$839$	10.6874	+	8.52293i	0.368971	+	0.294244i	0.790369	−	0.612632i	$-0.209889\pi$
$839$	10.6874	+	8.52293i	0.368971	+	0.294244i	−0.421398	+	0.906876i	$0.638460\pi$
$840$	−2.41315	+	41.1446i	−0.0832616	+	1.41962i
$841$	27.4733	−	9.28535i	0.947355	−	0.320185i
$842$	2.37414	−	5.69228i	0.0818182	−	0.196169i
$843$	−5.34004	−	10.9525i	−0.183921	−	0.377224i
$844$	27.0009	−	16.7822i	0.929409	−	0.577668i
$845$	−3.50916	+	0.800943i	−0.120719	+	0.0275533i
$846$	9.54325	−	23.5207i	0.328104	−	0.808660i
$847$	29.3001	−	23.3660i	1.00676	−	0.802867i
$848$	−4.15732	+	17.4271i	−0.142763	+	0.598449i
$849$	21.8691	−	17.6142i	0.750546	−	0.604519i
$850$	−2.77195	−	3.11712i	−0.0950772	−	0.106916i
$851$	−1.46831	+	0.335133i	−0.0503331	+	0.0114882i
$852$	9.95304	+	9.95381i	0.340986	+	0.341012i
$853$		−	1.00998i		−	0.0345811i	−0.999851	−	0.0172906i	$-0.994496\pi$
$853$		−	1.00998i		−	0.0345811i	0.999851	−	0.0172906i	$-0.00550403\pi$
$854$	44.3737	−	2.38317i	1.51844	−	0.0815503i
$855$	24.0069	+	5.23492i	0.821017	+	0.179031i
$856$	−3.88086	+	6.90184i	−0.132645	+	0.235900i
$857$	4.26798	+	8.86255i	0.145791	+	0.302739i	0.961058	−	0.276347i	$-0.0891239\pi$
$857$	4.26798	+	8.86255i	0.145791	+	0.302739i	−0.815267	+	0.579086i	$0.803410\pi$
$858$	9.33113	−	8.37927i	0.318560	−	0.286064i
$859$	−11.0848	+	5.33815i	−0.378208	+	0.182135i	−0.613323	−	0.789832i	$-0.710168\pi$
$859$	−11.0848	+	5.33815i	−0.378208	+	0.182135i	0.235115	+	0.971968i	$0.424453\pi$
$860$	22.0495	+	14.0055i	0.751882	+	0.477582i
$861$	−71.9084	+	57.9178i	−2.45063	+	1.97383i
$862$	−8.37562	−	9.41857i	−0.285275	−	0.320798i
$863$	−1.81274	+	7.94215i	−0.0617065	+	0.270354i	−0.996364	−	0.0851946i	$-0.972849\pi$
$863$	−1.81274	+	7.94215i	−0.0617065	+	0.270354i	0.934658	+	0.355549i	$0.115706\pi$
$864$	−14.2782	−	25.6930i	−0.485755	−	0.874095i
$865$	11.2673	−	14.1288i	0.383100	−	0.480393i
$866$	10.3226	+	1.77985i	0.350775	+	0.0604817i
$867$	−12.0831	+	15.3035i	−0.410365	+	0.519733i
$868$	−5.17012	−	47.9940i	−0.175485	−	1.62902i
$869$		−	3.10409i		−	0.105299i
$870$	−16.0257	+	19.9751i	−0.543321	+	0.677220i
$871$			45.2247i			1.53238i
$872$	−13.5395	−	4.00843i	−0.458505	−	0.135743i
$873$	25.9587	+	52.5925i	0.878569	+	1.77999i
$874$	−1.87683	+	10.8850i	−0.0634846	+	0.368191i
$875$	32.6837	−	40.9841i	1.10491	−	1.38551i
$876$	25.3171	+	15.9091i	0.855385	+	0.537520i
$877$	−5.29775	+	23.2110i	−0.178892	+	0.783779i	0.803250	+	0.595641i	$0.203102\pi$
$877$	−5.29775	+	23.2110i	−0.178892	+	0.783779i	−0.982143	+	0.188137i	$0.939755\pi$
$878$	17.5468	−	15.6038i	0.592175	−	0.526602i
$879$	3.71470	+	4.61201i	0.125294	+	0.155559i
$880$	11.6360	−	2.53640i	0.392251	−	0.0855020i
$881$	19.4019	−	9.34345i	0.653666	−	0.314789i	−0.0774964	−	0.996993i	$-0.524693\pi$
$881$	19.4019	−	9.34345i	0.653666	−	0.314789i	0.731162	+	0.682204i	$0.238978\pi$
$882$	14.1823	+	47.9180i	0.477543	+	1.61348i
$883$	15.1746	+	31.5104i	0.510667	+	1.06041i	0.983775	+	0.179406i	$0.0574176\pi$
$883$	15.1746	+	31.5104i	0.510667	+	1.06041i	−0.473108	+	0.881004i	$0.656868\pi$
$884$	1.86922	−	15.8911i	0.0628688	−	0.534475i
$885$	15.7566	−	3.67684i	0.529653	−	0.123596i
$886$	−0.907579	−	16.8988i	−0.0304907	−	0.567726i
$887$			12.1018i			0.406339i	0.979144	+	0.203169i	$0.0651242\pi$
$887$			12.1018i			0.406339i	−0.979144	+	0.203169i	$0.934876\pi$
$888$	3.68568	−	1.51595i	0.123683	−	0.0508718i
$889$	−94.5659	+	21.5841i	−3.17164	+	0.723906i
$890$	−19.3937	+	17.2462i	−0.650080	+	0.578095i
$891$	−10.9559	−	8.39454i	−0.367036	−	0.281228i
$892$	−5.00726	−	8.05617i	−0.167655	−	0.269741i
$893$	19.7334	−	15.7368i	0.660353	−	0.526614i
$894$	2.41979	+	41.3128i	0.0809299	+	1.38171i
$895$	−33.3502	+	7.61197i	−1.11478	+	0.254440i
$896$	48.4680	−	7.38408i	1.61920	−	0.246685i
$897$	9.62285	−	4.69175i	0.321298	−	0.156653i
$898$	40.2041	+	16.7684i	1.34163	+	0.559567i
$899$	14.6484	−	26.1733i	0.488551	−	0.872928i
$900$	−0.791564	+	7.34270i	−0.0263855	+	0.244757i
$901$	8.39161	+	6.69208i	0.279565	+	0.222946i
$902$	21.7211	+	15.4919i	0.723234	+	0.515825i
$903$	49.2821	+	10.9971i	1.64001	+	0.365961i
$904$	−55.9162	−	16.5543i	−1.85975	−	0.550587i
$905$	2.08578	−	1.66335i	0.0693336	−	0.0552917i
$906$	−5.06099	−	9.10536i	−0.168140	−	0.302505i
$907$	30.6435	+	14.7571i	1.01750	+	0.490003i	0.866842	−	0.498583i	$-0.166146\pi$
$907$	30.6435	+	14.7571i	1.01750	+	0.490003i	0.150660	+	0.988586i	$0.451860\pi$
$908$	10.6809	+	31.0099i	0.354459	+	1.02910i
$909$	−14.8067	+	18.9410i	−0.491106	+	0.628234i
$910$	39.6645	−	2.13025i	1.31486	−	0.0706171i
$911$		−	32.9637i		−	1.09214i	−0.837741	−	0.546068i	$-0.816124\pi$
$911$		−	32.9637i		−	1.09214i	0.837741	−	0.546068i	$-0.183876\pi$
$912$	0.144041	−	29.2278i	0.00476966	−	0.967830i
$913$	7.73927	−	6.17186i	0.256132	−	0.204259i
$914$	7.18323	+	25.1646i	0.237600	+	0.832372i
$915$	−24.3826	+	0.118267i	−0.806063	+	0.00390979i
$916$	−2.49409	+	2.46982i	−0.0824072	+	0.0816053i
$917$	1.16370	−	0.560407i	0.0384287	−	0.0185063i
$918$	−17.5685	+	1.20015i	−0.579846	+	0.0396107i
$919$	−0.836376	+	1.73675i	−0.0275895	+	0.0572902i	−0.914308	−	0.405019i	$-0.867265\pi$
$919$	−0.836376	+	1.73675i	−0.0275895	+	0.0572902i	0.886719	+	0.462309i	$0.152979\pi$
$920$	10.1458	+	0.644450i	0.334497	+	0.0212469i
$921$	26.7769	−	33.9134i	0.882330	−	1.11748i
$922$	−3.75026	−	13.1381i	−0.123508	−	0.432681i
$923$	8.45835	−	10.6064i	0.278410	−	0.349115i
$924$	19.4931	−	12.2473i	0.641275	−	0.402905i
$925$	−0.976197	−	0.222811i	−0.0320972	−	0.00732597i
$926$	−9.25260	−	16.8384i	−0.304059	−	0.553345i
$927$	26.7436	−	21.7550i	0.878374	−	0.714529i
$928$	27.2100	+	13.6974i	0.893211	+	0.449638i
$929$			14.7429i			0.483698i	0.970314	+	0.241849i	$0.0777538\pi$
$929$			14.7429i			0.483698i	−0.970314	+	0.241849i	$0.922246\pi$
$930$	1.54873	+	26.4412i	0.0507848	+	0.867043i
$931$	−11.0573	+	48.4451i	−0.362388	+	1.58772i
$932$	33.2748	+	21.1356i	1.08995	+	0.692318i
$933$	−21.5950	−	44.2916i	−0.706988	−	1.45004i
$934$	−15.9724	+	4.55932i	−0.522634	+	0.149185i
$935$	1.58761	−	6.95578i	0.0519204	−	0.227478i
$936$	−23.0649	+	16.4476i	−0.753899	+	0.537607i
$937$	−22.6146	−	10.8906i	−0.738787	−	0.355781i	0.0263464	−	0.999653i	$-0.491613\pi$
$937$	−22.6146	−	10.8906i	−0.738787	−	0.355781i	−0.765133	+	0.643872i	$0.777327\pi$
$938$	−14.1058	+	81.8092i	−0.460571	+	2.67116i
$939$	18.4471	−	0.0894772i	0.601999	−	0.00291998i
$940$	−16.3459	−	16.5065i	−0.533145	−	0.538384i
$941$	−17.2590	−	35.8388i	−0.562628	−	1.16831i	−0.967250	−	0.253826i	$-0.918311\pi$
$941$	−17.2590	−	35.8388i	−0.562628	−	1.16831i	0.404621	−	0.914484i	$-0.367403\pi$
$942$	−26.5639	−	4.44766i	−0.865498	−	0.144913i
$943$	14.1999	+	17.8061i	0.462413	+	0.579847i
$944$	−8.18085	−	17.4215i	−0.266264	−	0.567021i
$945$	−10.3467	−	42.4733i	−0.336579	−	1.38166i
$946$	−0.782477	−	14.5694i	−0.0254405	−	0.473693i
$947$	−31.3736	+	7.16082i	−1.01951	+	0.232695i	−0.699433	−	0.714698i	$-0.746564\pi$
$947$	−31.3736	+	7.16082i	−1.01951	+	0.232695i	−0.320072	+	0.947393i	$0.603707\pi$
$948$	−0.785327	+	6.96753i	−0.0255062	+	0.226295i
$949$	12.5033	−	25.9634i	0.405874	−	0.842806i
$950$	−4.26416	+	5.97875i	−0.138348	+	0.193976i
$951$	−0.0194050	−	0.0831574i	−0.000629249	−	0.00269656i
$952$	8.33783	−	28.1632i	0.270231	−	0.912773i
$953$	−36.1824	+	8.25840i	−1.17206	+	0.267516i	−0.763864	−	0.645377i	$-0.776700\pi$
$953$	−36.1824	+	8.25840i	−1.17206	+	0.267516i	−0.408200	+	0.912893i	$0.633843\pi$
$954$	−1.20315	−	18.9648i	−0.0389533	−	0.614008i
$955$	21.6158	−	27.1054i	0.699472	−	0.877110i
$956$	−37.1495	−	37.5146i	−1.20150	−	1.21331i
$957$	14.2813	+	0.809000i	0.461650	+	0.0261513i
$958$	−19.0921	+	45.7757i	−0.616839	+	1.47895i
$959$	70.8257	+	56.4816i	2.28708	+	1.82389i
$960$	−26.7603	+	2.74939i	−0.863685	+	0.0887363i
$961$	−0.00472858	−	0.0207173i	−0.000152535	−	0.000668299i
$962$	−1.84966	−	3.36612i	−0.0596355	−	0.108528i
$963$	1.78931	−	8.20560i	0.0576597	−	0.264422i
$964$	−17.3711	+	10.7969i	−0.559485	+	0.347744i
$965$	6.26786	+	3.01844i	0.201769	+	0.0971670i
$966$	18.8706	−	5.48574i	0.607153	−	0.176501i
$967$	−5.05599	−	22.1518i	−0.162590	−	0.712353i	−0.988832	−	0.149037i	$-0.952383\pi$
$967$	−5.05599	−	22.1518i	−0.162590	−	0.712353i	0.826242	−	0.563316i	$-0.190474\pi$
$968$	18.1189	+	16.4326i	0.582363	+	0.528164i
$969$	−15.8128	−	7.52076i	−0.507979	−	0.241602i
$970$	53.5990	−	2.87863i	1.72096	−	0.0924273i
$971$	−27.8311	+	22.1946i	−0.893144	+	0.712258i	−0.958345	−	0.285614i	$-0.907803\pi$
$971$	−27.8311	+	22.1946i	−0.893144	+	0.712258i	0.0652011	+	0.997872i	$0.479231\pi$
$972$	22.4681	+	21.6144i	0.720665	+	0.693283i
$973$	25.3826	−	12.2236i	0.813729	−	0.391871i
$974$	−6.97873	+	16.7323i	−0.223613	+	0.536138i
$975$	7.11752	−	0.0345233i	0.227943	−	0.00110563i
$976$	6.17727	+	28.3389i	0.197729	+	0.907107i
$977$	9.16553	−	19.0324i	0.293231	−	0.608901i	−0.701355	−	0.712812i	$-0.747421\pi$
$977$	9.16553	−	19.0324i	0.293231	−	0.608901i	0.994587	+	0.103911i	$0.0331356\pi$
$978$	−1.35160	−	4.64943i	−0.0432194	−	0.148672i
$979$	14.1328	+	3.22571i	0.451685	+	0.103094i
$980$	45.4217	+	5.34282i	1.45094	+	0.170670i
$981$	14.9762	−	0.145287i	0.478154	−	0.00463866i
$982$	−36.2286	−	6.24664i	−1.15610	−	0.199338i
$983$	−11.0799	−	2.52890i	−0.353392	−	0.0806595i	0.0421396	−	0.999112i	$-0.486583\pi$
$983$	−11.0799	−	2.52890i	−0.353392	−	0.0806595i	−0.395532	+	0.918452i	$0.629440\pi$
$984$	−44.8365	−	40.2690i	−1.42933	−	1.28373i
$985$	−17.8933			−0.570127
$986$	14.3565	−	11.2673i	0.457205	−	0.358824i
$987$	−40.5526	−	19.2873i	−1.29080	−	0.613923i
$988$	−28.0069	+	3.01702i	−0.891018	+	0.0959843i
$989$	2.77149	−	12.1427i	0.0881283	−	0.386115i
$990$	−11.0109	+	6.19024i	−0.349950	+	0.196739i
$991$	−0.0592043	−	0.0472139i	−0.00188069	−	0.00149980i	0.622549	−	0.782581i	$-0.286097\pi$
$991$	−0.0592043	−	0.0472139i	−0.00188069	−	0.00149980i	−0.624430	+	0.781081i	$0.714669\pi$
$992$	30.3798	−	8.35150i	0.964560	−	0.265160i
$993$	1.96604	−	2.49002i	0.0623903	−	0.0790182i
$994$	18.6089	−	16.5483i	0.590240	−	0.524881i
$995$	−18.9054	−	9.10435i	−0.599341	−	0.288627i
$996$	−18.9333	+	11.8955i	−0.599923	+	0.376924i
$997$	2.67383	+	5.55227i	0.0846811	+	0.175842i	0.939009	−	0.343892i	$-0.111745\pi$
$997$	2.67383	+	5.55227i	0.0846811	+	0.175842i	−0.854328	+	0.519734i	$0.826031\pi$
$998$	−1.90960	+	4.57848i	−0.0604472	+	0.144929i
$999$	−3.26611	+	2.68331i	−0.103335	+	0.0848961i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	348.2.t.a.35.9	✓	336
3.2	odd	2	inner	348.2.t.a.35.48	yes	336
4.3	odd	2	inner	348.2.t.a.35.23	yes	336
12.11	even	2	inner	348.2.t.a.35.34	yes	336
29.5	even	14	inner	348.2.t.a.179.34	yes	336
87.5	odd	14	inner	348.2.t.a.179.23	yes	336
116.63	odd	14	inner	348.2.t.a.179.48	yes	336
348.179	even	14	inner	348.2.t.a.179.9	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
348.2.t.a.35.9	✓	336	1.1	even	1	trivial
348.2.t.a.35.23	yes	336	4.3	odd	2	inner
348.2.t.a.35.34	yes	336	12.11	even	2	inner
348.2.t.a.35.48	yes	336	3.2	odd	2	inner
348.2.t.a.179.9	yes	336	348.179	even	14	inner
348.2.t.a.179.23	yes	336	87.5	odd	14	inner
348.2.t.a.179.34	yes	336	29.5	even	14	inner
348.2.t.a.179.48	yes	336	116.63	odd	14	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 348 = 2^{2} \cdot 3 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	348.t (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.23942 + 0.681054i) q^{2} +(1.07334 - 1.35939i) q^{3} +(1.07233 - 1.68823i) q^{4} +(1.51787 + 1.21046i) q^{5} +(-0.404494 + 2.41586i) q^{6} +(4.22479 + 0.964281i) q^{7} +(-0.179298 + 2.82274i) q^{8} +(-0.695904 - 2.91817i) q^{9} +O(q^{10})\)	\(q+(-1.23942 + 0.681054i) q^{2} +(1.07334 - 1.35939i) q^{3} +(1.07233 - 1.68823i) q^{4} +(1.51787 + 1.21046i) q^{5} +(-0.404494 + 2.41586i) q^{6} +(4.22479 + 0.964281i) q^{7} +(-0.179298 + 2.82274i) q^{8} +(-0.695904 - 2.91817i) q^{9} +(-2.70566 - 0.466519i) q^{10} +(0.665393 + 1.38170i) q^{11} +(-1.14399 - 3.26975i) q^{12} +(-3.00794 + 1.44855i) q^{13} +(-5.89302 + 1.68216i) q^{14} +(3.27467 - 0.764151i) q^{15} +(-1.70021 - 3.62067i) q^{16} -2.39634 q^{17} +(2.84995 + 3.14289i) q^{18} +(0.938754 + 4.11295i) q^{19} +(3.67118 - 1.26449i) q^{20} +(5.84545 - 4.70816i) q^{21} +(-1.76572 - 1.25934i) q^{22} +(-1.15431 - 1.44746i) q^{23} +(3.64477 + 3.27348i) q^{24} +(-0.273895 - 1.20001i) q^{25} +(2.74157 - 3.84393i) q^{26} +(-4.71388 - 2.18617i) q^{27} +(6.15830 - 6.09837i) q^{28} +(5.31382 - 0.873699i) q^{29} +(-3.53827 + 3.17733i) q^{30} +(3.47263 - 4.35455i) q^{31} +(4.57315 + 3.32961i) q^{32} +(2.59247 + 0.578499i) q^{33} +(2.97007 - 1.63204i) q^{34} +(5.24544 + 6.57758i) q^{35} +(-5.67277 - 1.95440i) q^{36} +(0.352959 - 0.732928i) q^{37} +(-3.96465 - 4.45834i) q^{38} +(-1.25938 + 5.64375i) q^{39} +(-3.68896 + 4.06751i) q^{40} -12.3016 q^{41} +(-4.03847 + 9.81646i) q^{42} +(4.19447 + 5.25970i) q^{43} +(3.04615 + 0.358309i) q^{44} +(2.47603 - 5.27175i) q^{45} +(2.41648 + 1.00787i) q^{46} +(-2.59586 - 5.39035i) q^{47} +(-6.74682 - 1.57494i) q^{48} +(10.6122 + 5.11058i) q^{49} +(1.15675 + 1.30078i) q^{50} +(-2.57207 + 3.25757i) q^{51} +(-0.780033 + 6.63141i) q^{52} +(-3.50185 - 2.79263i) q^{53} +(7.33138 - 0.500825i) q^{54} +(-0.662515 + 2.90267i) q^{55} +(-3.47941 + 11.7526i) q^{56} +(6.59872 + 3.13844i) q^{57} +(-5.99102 + 4.70188i) q^{58} +4.81167 q^{59} +(2.22147 - 6.34780i) q^{60} +(-7.06929 - 1.61352i) q^{61} +(-1.33838 + 7.76217i) q^{62} +(-0.126112 - 12.9997i) q^{63} +(-7.93570 - 1.01222i) q^{64} +(-6.31906 - 1.44228i) q^{65} +(-3.60715 + 1.04861i) q^{66} +(5.87746 - 12.2047i) q^{67} +(-2.56967 + 4.04556i) q^{68} +(-3.20664 + 0.0155537i) q^{69} +(-10.9810 - 4.57996i) q^{70} +(-3.66106 + 1.76307i) q^{71} +(8.36201 - 1.44113i) q^{72} +(-6.74846 + 5.38172i) q^{73} +(0.0616978 + 1.14879i) q^{74} +(-1.92527 - 0.915685i) q^{75} +(7.95024 + 2.82562i) q^{76} +(1.47880 + 6.47903i) q^{77} +(-2.28280 - 7.85269i) q^{78} +(-1.82364 - 0.878219i) q^{79} +(1.80198 - 7.55373i) q^{80} +(-8.03144 + 4.06153i) q^{81} +(15.2469 - 8.37805i) q^{82} +(-1.43633 - 6.29296i) q^{83} +(-1.68017 - 14.9171i) q^{84} +(-3.63732 - 2.90067i) q^{85} +(-8.78086 - 3.66233i) q^{86} +(4.51580 - 8.16134i) q^{87} +(-4.01949 + 1.63049i) q^{88} +(5.89358 - 7.39031i) q^{89} +(0.521500 + 8.22024i) q^{90} +(-14.1047 + 3.21931i) q^{91} +(-3.68145 + 0.396582i) q^{92} +(-2.19224 - 9.39456i) q^{93} +(6.88848 + 4.91300i) q^{94} +(-3.55365 + 7.37923i) q^{95} +(9.43477 - 2.64293i) q^{96} +(-19.0599 + 4.35029i) q^{97} +(-16.6336 + 0.893337i) q^{98} +(3.56899 - 2.90326i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9}+O(q^{10}) \) 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9	\( 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9} - 14 q^{10} - 20 q^{13} - 26 q^{16} - 56 q^{18} - 14 q^{21} - 40 q^{22} + 3 q^{24} + 40 q^{25} - 36 q^{28} - 6 q^{30} - 22 q^{33} - 8 q^{34} + 9 q^{36} - 28 q^{37} - 14 q^{40} - 74 q^{42} - 22 q^{45} + 14 q^{48} + 4 q^{49} - 4 q^{52} - 31 q^{54} - 12 q^{57} - 106 q^{58} - 42 q^{60} - 28 q^{61} - 94 q^{64} - 7 q^{66} - 14 q^{69} + 70 q^{72} - 28 q^{73} - 84 q^{76} - 9 q^{78} - 50 q^{81} - 46 q^{82} - 35 q^{84} - 168 q^{85} - 60 q^{88} + 119 q^{90} + 122 q^{93} + 36 q^{94} + 2 q^{96} - 28 q^{97}+O(q^{100}) \) 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9 - 14 * q^10 - 20 * q^13 - 26 * q^16 - 56 * q^18 - 14 * q^21 - 40 * q^22 + 3 * q^24 + 40 * q^25 - 36 * q^28 - 6 * q^30 - 22 * q^33 - 8 * q^34 + 9 * q^36 - 28 * q^37 - 14 * q^40 - 74 * q^42 - 22 * q^45 + 14 * q^48 + 4 * q^49 - 4 * q^52 - 31 * q^54 - 12 * q^57 - 106 * q^58 - 42 * q^60 - 28 * q^61 - 94 * q^64 - 7 * q^66 - 14 * q^69 + 70 * q^72 - 28 * q^73 - 84 * q^76 - 9 * q^78 - 50 * q^81 - 46 * q^82 - 35 * q^84 - 168 * q^85 - 60 * q^88 + 119 * q^90 + 122 * q^93 + 36 * q^94 + 2 * q^96 - 28 * q^97

Introduction

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