LMFDB - Embedded newform 930.2.v.a.401.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(401,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 3]))

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

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

chi := DirichletCharacter("930.401");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.v (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$20$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			401.17
Character	$\chi$	$=$	930.401
Dual form			930.2.v.a.821.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.587785 - 0.809017i) q^{2} +(0.486477 - 1.66233i) q^{3} +(-0.309017 - 0.951057i) q^{4} +1.00000i q^{5} +(-1.05891 - 1.37066i) q^{6} +(-0.425822 - 1.31054i) q^{7} +(-0.951057 - 0.309017i) q^{8} +(-2.52668 - 1.61737i) q^{9} +O(q^{10})$	\(q+(0.587785 - 0.809017i) q^{2} +(0.486477 - 1.66233i) q^{3} +(-0.309017 - 0.951057i) q^{4} +1.00000i q^{5} +(-1.05891 - 1.37066i) q^{6} +(-0.425822 - 1.31054i) q^{7} +(-0.951057 - 0.309017i) q^{8} +(-2.52668 - 1.61737i) q^{9} +(0.809017 + 0.587785i) q^{10} +(-0.950001 - 2.92380i) q^{11} +(-1.73130 + 0.0510207i) q^{12} +(-1.04822 - 1.44275i) q^{13} +(-1.31054 - 0.425822i) q^{14} +(1.66233 + 0.486477i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.246018 - 0.757167i) q^{17} +(-2.79363 + 1.09346i) q^{18} +(1.60849 + 1.16864i) q^{19} +(0.951057 - 0.309017i) q^{20} +(-2.38571 + 0.0703060i) q^{21} +(-2.92380 - 0.950001i) q^{22} +(-1.04450 + 3.21465i) q^{23} +(-0.976355 + 1.43064i) q^{24} -1.00000 q^{25} -1.78333 q^{26} +(-3.91778 + 3.41336i) q^{27} +(-1.11482 + 0.809961i) q^{28} +(-1.35083 - 0.981432i) q^{29} +(1.37066 - 1.05891i) q^{30} +(-5.23325 - 1.90082i) q^{31} +1.00000i q^{32} +(-5.32247 + 0.156851i) q^{33} +(-0.467955 - 0.644084i) q^{34} +(1.31054 - 0.425822i) q^{35} +(-0.757424 + 2.90281i) q^{36} -10.5109i q^{37} +(1.89089 - 0.614388i) q^{38} +(-2.90826 + 1.04062i) q^{39} +(0.309017 - 0.951057i) q^{40} +(3.01264 - 4.14654i) q^{41} +(-1.34541 + 1.97140i) q^{42} +(-0.341884 + 0.470564i) q^{43} +(-2.48713 + 1.80701i) q^{44} +(1.61737 - 2.52668i) q^{45} +(1.98676 + 2.73454i) q^{46} +(1.43737 + 1.97837i) q^{47} +(0.583524 + 1.63080i) q^{48} +(4.12692 - 2.99838i) q^{49} +(-0.587785 + 0.809017i) q^{50} +(-1.13898 - 0.777308i) q^{51} +(-1.04822 + 1.44275i) q^{52} +(-2.91595 + 8.97438i) q^{53} +(0.458655 + 5.17587i) q^{54} +(2.92380 - 0.950001i) q^{55} +1.37799i q^{56} +(2.72515 - 2.10532i) q^{57} +(-1.58799 + 0.515970i) q^{58} +(3.50962 + 4.83057i) q^{59} +(-0.0510207 - 1.73130i) q^{60} -9.86353i q^{61} +(-4.61382 + 3.11651i) q^{62} +(-1.04372 + 4.00004i) q^{63} +(0.809017 + 0.587785i) q^{64} +(1.44275 - 1.04822i) q^{65} +(-3.00158 + 4.39817i) q^{66} -8.47961 q^{67} -0.796132 q^{68} +(4.83568 + 3.30016i) q^{69} +(0.425822 - 1.31054i) q^{70} +(2.43862 + 0.792357i) q^{71} +(1.90322 + 2.31900i) q^{72} +(8.26641 - 2.68592i) q^{73} +(-8.50350 - 6.17816i) q^{74} +(-0.486477 + 1.66233i) q^{75} +(0.614388 - 1.89089i) q^{76} +(-3.42724 + 2.49004i) q^{77} +(-0.867552 + 2.96449i) q^{78} +(7.35404 + 2.38947i) q^{79} +(-0.587785 - 0.809017i) q^{80} +(3.76822 + 8.17316i) q^{81} +(-1.58384 - 4.87455i) q^{82} +(-3.00001 - 2.17963i) q^{83} +(0.804090 + 2.24722i) q^{84} +(0.757167 + 0.246018i) q^{85} +(0.179739 + 0.553181i) q^{86} +(-2.28861 + 1.76807i) q^{87} +3.07427i q^{88} +(1.54528 + 4.75588i) q^{89} +(-1.09346 - 2.79363i) q^{90} +(-1.44443 + 1.98809i) q^{91} +3.38008 q^{92} +(-5.70564 + 7.77468i) q^{93} +2.44540 q^{94} +(-1.16864 + 1.60849i) q^{95} +(1.66233 + 0.486477i) q^{96} +(-3.15890 - 9.72211i) q^{97} -5.10115i q^{98} +(-2.32852 + 8.92401i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 20 q^{4} + 12 q^{7} - 8 q^{9}+O(q^{10}) $ 80 * q + 20 * q^4 + 12 * q^7 - 8 * q^9	$ 80 q + 20 q^{4} + 12 q^{7} - 8 q^{9} + 20 q^{10} - 10 q^{13} - 20 q^{16} - 12 q^{18} - 12 q^{19} + 30 q^{21} + 10 q^{22} - 80 q^{25} + 18 q^{28} + 16 q^{31} + 72 q^{33} + 10 q^{34} + 8 q^{36} + 54 q^{39} - 20 q^{40} + 50 q^{43} + 8 q^{45} - 10 q^{46} + 8 q^{49} - 44 q^{51} - 10 q^{52} - 10 q^{55} + 30 q^{58} + 28 q^{63} + 20 q^{64} + 66 q^{66} + 60 q^{67} + 20 q^{69} - 12 q^{70} + 12 q^{72} - 20 q^{73} - 18 q^{76} + 8 q^{78} + 40 q^{79} + 16 q^{81} - 4 q^{82} - 60 q^{84} - 72 q^{87} - 12 q^{90} + 10 q^{91} + 104 q^{93} - 12 q^{94} - 178 q^{97}+O(q^{100}) $ 80 * q + 20 * q^4 + 12 * q^7 - 8 * q^9 + 20 * q^10 - 10 * q^13 - 20 * q^16 - 12 * q^18 - 12 * q^19 + 30 * q^21 + 10 * q^22 - 80 * q^25 + 18 * q^28 + 16 * q^31 + 72 * q^33 + 10 * q^34 + 8 * q^36 + 54 * q^39 - 20 * q^40 + 50 * q^43 + 8 * q^45 - 10 * q^46 + 8 * q^49 - 44 * q^51 - 10 * q^52 - 10 * q^55 + 30 * q^58 + 28 * q^63 + 20 * q^64 + 66 * q^66 + 60 * q^67 + 20 * q^69 - 12 * q^70 + 12 * q^72 - 20 * q^73 - 18 * q^76 + 8 * q^78 + 40 * q^79 + 16 * q^81 - 4 * q^82 - 60 * q^84 - 72 * q^87 - 12 * q^90 + 10 * q^91 + 104 * q^93 - 12 * q^94 - 178 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$1$	$-1$	$e\left(\frac{3}{10}\right)$

Coefficient data

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

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

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

$2$	0.587785	−	0.809017i	0.415627	−	0.572061i
$2$	0.587785	−	0.809017i	0.415627	−	0.572061i
$3$	0.486477	−	1.66233i	0.280868	−	0.959746i
$3$	0.486477	−	1.66233i	0.280868	−	0.959746i
$4$	−0.309017	−	0.951057i	−0.154508	−	0.475528i
$5$			1.00000i			0.447214i
$5$			1.00000i			0.447214i
$6$	−1.05891	−	1.37066i	−0.432298	−	0.559570i
$7$	−0.425822	−	1.31054i	−0.160946	−	0.495339i	0.837769	−	0.546025i	$-0.183859\pi$
$7$	−0.425822	−	1.31054i	−0.160946	−	0.495339i	−0.998715	+	0.0506852i	$0.983859\pi$
$8$	−0.951057	−	0.309017i	−0.336249	−	0.109254i
$9$	−2.52668	−	1.61737i	−0.842227	−	0.539124i
$10$	0.809017	+	0.587785i	0.255834	+	0.185874i
$11$	−0.950001	−	2.92380i	−0.286436	−	0.881559i	−0.985965	−	0.166955i	$-0.946607\pi$
$11$	−0.950001	−	2.92380i	−0.286436	−	0.881559i	0.699529	−	0.714605i	$-0.253393\pi$
$12$	−1.73130	+	0.0510207i	−0.499783	+	0.0147284i
$13$	−1.04822	−	1.44275i	−0.290723	−	0.400146i	0.638526	−	0.769601i	$-0.279545\pi$
$13$	−1.04822	−	1.44275i	−0.290723	−	0.400146i	−0.929249	+	0.369454i	$0.879545\pi$
$14$	−1.31054	−	0.425822i	−0.350258	−	0.113806i
$15$	1.66233	+	0.486477i	0.429212	+	0.125608i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	0.246018	−	0.757167i	0.0596682	−	0.183640i	−0.916780	−	0.399393i	$-0.869221\pi$
$17$	0.246018	−	0.757167i	0.0596682	−	0.183640i	0.976448	+	0.215754i	$0.0692208\pi$
$18$	−2.79363	+	1.09346i	−0.658464	+	0.257731i
$19$	1.60849	+	1.16864i	0.369013	+	0.268103i	0.756801	−	0.653645i	$-0.226761\pi$
$19$	1.60849	+	1.16864i	0.369013	+	0.268103i	−0.387789	+	0.921748i	$0.626761\pi$
$20$	0.951057	−	0.309017i	0.212663	−	0.0690983i
$21$	−2.38571	+	0.0703060i	−0.520605	+	0.0153420i
$22$	−2.92380	−	0.950001i	−0.623356	−	0.202541i
$23$	−1.04450	+	3.21465i	−0.217794	+	0.670301i	0.781150	+	0.624344i	$0.214634\pi$
$23$	−1.04450	+	3.21465i	−0.217794	+	0.670301i	−0.998943	+	0.0459567i	$0.985366\pi$
$24$	−0.976355	+	1.43064i	−0.199298	+	0.292028i
$25$	−1.00000			−0.200000
$26$	−1.78333			−0.349741
$27$	−3.91778	+	3.41336i	−0.753976	+	0.656902i
$28$	−1.11482	+	0.809961i	−0.210680	+	0.153068i
$29$	−1.35083	−	0.981432i	−0.250842	−	0.182247i	0.455258	−	0.890360i	$-0.349547\pi$
$29$	−1.35083	−	0.981432i	−0.250842	−	0.182247i	−0.706100	+	0.708112i	$0.749547\pi$
$30$	1.37066	−	1.05891i	0.250247	−	0.193329i
$31$	−5.23325	−	1.90082i	−0.939919	−	0.341397i
$31$	−5.23325	−	1.90082i	−0.939919	−	0.341397i
$32$			1.00000i			0.176777i
$33$	−5.32247	+	0.156851i	−0.926524	+	0.0273043i
$34$	−0.467955	−	0.644084i	−0.0802536	−	0.110460i
$35$	1.31054	−	0.425822i	0.221523	−	0.0719770i
$36$	−0.757424	+	2.90281i	−0.126237	+	0.483802i
$37$		−	10.5109i		−	1.72798i	−0.503506	−	0.863991i	$-0.667957\pi$
$37$		−	10.5109i		−	1.72798i	0.503506	−	0.863991i	$-0.332043\pi$
$38$	1.89089	−	0.614388i	0.306743	−	0.0996669i
$39$	−2.90826	+	1.04062i	−0.465694	+	0.166633i
$40$	0.309017	−	0.951057i	0.0488599	−	0.150375i
$41$	3.01264	−	4.14654i	0.470495	−	0.647580i	−0.506149	−	0.862446i	$-0.668931\pi$
$41$	3.01264	−	4.14654i	0.470495	−	0.647580i	0.976644	+	0.214866i	$0.0689314\pi$
$42$	−1.34541	+	1.97140i	−0.207601	+	0.304194i
$43$	−0.341884	+	0.470564i	−0.0521369	+	0.0717603i	−0.834289	−	0.551327i	$-0.814122\pi$
$43$	−0.341884	+	0.470564i	−0.0521369	+	0.0717603i	0.782153	+	0.623087i	$0.214122\pi$
$44$	−2.48713	+	1.80701i	−0.374950	+	0.272417i
$45$	1.61737	−	2.52668i	0.241103	−	0.376655i
$46$	1.98676	+	2.73454i	0.292932	+	0.403187i
$47$	1.43737	+	1.97837i	0.209662	+	0.288575i	0.900877	−	0.434074i	$-0.142924\pi$
$47$	1.43737	+	1.97837i	0.209662	+	0.288575i	−0.691215	+	0.722649i	$0.742924\pi$
$48$	0.583524	+	1.63080i	0.0842245	+	0.235385i
$49$	4.12692	−	2.99838i	0.589559	−	0.428340i
$50$	−0.587785	+	0.809017i	−0.0831254	+	0.114412i
$51$	−1.13898	−	0.777308i	−0.159489	−	0.108845i
$52$	−1.04822	+	1.44275i	−0.145362	+	0.200073i
$53$	−2.91595	+	8.97438i	−0.400537	+	1.23273i	0.524028	+	0.851701i	$0.324429\pi$
$53$	−2.91595	+	8.97438i	−0.400537	+	1.23273i	−0.924565	+	0.381025i	$0.875571\pi$
$54$	0.458655	+	5.17587i	0.0624151	+	0.704347i
$55$	2.92380	−	0.950001i	0.394245	−	0.128098i
$56$			1.37799i			0.184141i
$57$	2.72515	−	2.10532i	0.360955	−	0.278857i
$58$	−1.58799	+	0.515970i	−0.208513	+	0.0677501i
$59$	3.50962	+	4.83057i	0.456913	+	0.628887i	0.973865	−	0.227128i	$-0.0729334\pi$
$59$	3.50962	+	4.83057i	0.456913	+	0.628887i	−0.516952	+	0.856014i	$0.672933\pi$
$60$	−0.0510207	−	1.73130i	−0.00658675	−	0.223510i
$61$		−	9.86353i		−	1.26290i	−0.775418	−	0.631448i	$-0.782461\pi$
$61$		−	9.86353i		−	1.26290i	0.775418	−	0.631448i	$-0.217539\pi$
$62$	−4.61382	+	3.11651i	−0.585956	+	0.395798i
$63$	−1.04372	+	4.00004i	−0.131497	+	0.503958i
$64$	0.809017	+	0.587785i	0.101127	+	0.0734732i
$65$	1.44275	−	1.04822i	0.178951	−	0.130015i
$66$	−3.00158	+	4.39817i	−0.369469	+	0.541377i
$67$	−8.47961			−1.03595			−0.517975	−	0.855396i	$-0.673314\pi$
$67$	−8.47961			−1.03595			−0.517975	+	0.855396i	$0.673314\pi$
$68$	−0.796132			−0.0965452
$69$	4.83568	+	3.30016i	0.582147	+	0.397293i
$70$	0.425822	−	1.31054i	0.0508954	−	0.156640i
$71$	2.43862	+	0.792357i	0.289412	+	0.0940355i	0.450125	−	0.892966i	$-0.351379\pi$
$71$	2.43862	+	0.792357i	0.289412	+	0.0940355i	−0.160713	+	0.987001i	$0.551379\pi$
$72$	1.90322	+	2.31900i	0.224297	+	0.273297i
$73$	8.26641	−	2.68592i	0.967510	−	0.314363i	0.217699	−	0.976016i	$-0.430145\pi$
$73$	8.26641	−	2.68592i	0.967510	−	0.314363i	0.749810	+	0.661653i	$0.230145\pi$
$74$	−8.50350	−	6.17816i	−0.988512	−	0.718196i
$75$	−0.486477	+	1.66233i	−0.0561736	+	0.191949i
$76$	0.614388	−	1.89089i	0.0704752	−	0.216900i
$77$	−3.42724	+	2.49004i	−0.390570	+	0.283766i
$78$	−0.867552	+	2.96449i	−0.0982309	+	0.335662i
$79$	7.35404	+	2.38947i	0.827394	+	0.268837i	0.691947	−	0.721948i	$-0.256753\pi$
$79$	7.35404	+	2.38947i	0.827394	+	0.268837i	0.135447	+	0.990785i	$0.456753\pi$
$80$	−0.587785	−	0.809017i	−0.0657164	−	0.0904508i
$81$	3.76822	+	8.17316i	0.418691	+	0.908129i
$82$	−1.58384	−	4.87455i	−0.174905	−	0.538304i
$83$	−3.00001	−	2.17963i	−0.329294	−	0.239246i	0.410837	−	0.911709i	$-0.365236\pi$
$83$	−3.00001	−	2.17963i	−0.329294	−	0.239246i	−0.740131	+	0.672463i	$0.765236\pi$
$84$	0.804090	+	2.24722i	0.0877334	+	0.245192i
$85$	0.757167	+	0.246018i	0.0821263	+	0.0266844i
$86$	0.179739	+	0.553181i	0.0193818	+	0.0596510i
$87$	−2.28861	+	1.76807i	−0.245365	+	0.189557i
$88$			3.07427i			0.327718i
$89$	1.54528	+	4.75588i	0.163799	+	0.504123i	0.998946	−	0.0459050i	$-0.0146172\pi$
$89$	1.54528	+	4.75588i	0.163799	+	0.504123i	−0.835146	+	0.550028i	$0.814617\pi$
$90$	−1.09346	−	2.79363i	−0.115261	−	0.294474i
$91$	−1.44443	+	1.98809i	−0.151418	+	0.208409i
$92$	3.38008			0.352398
$93$	−5.70564	+	7.77468i	−0.591648	+	0.806197i
$94$	2.44540			0.252224
$95$	−1.16864	+	1.60849i	−0.119900	+	0.165028i
$96$	1.66233	+	0.486477i	0.169661	+	0.0496509i
$97$	−3.15890	−	9.72211i	−0.320738	−	0.987130i	−0.973328	−	0.229419i	$-0.926317\pi$
$97$	−3.15890	−	9.72211i	−0.320738	−	0.987130i	0.652590	−	0.757711i	$-0.273683\pi$
$98$		−	5.10115i		−	0.515294i
$99$	−2.32852	+	8.92401i	−0.234025	+	0.896897i
$100$	0.309017	+	0.951057i	0.0309017	+	0.0951057i
$101$	8.65892	+	2.81345i	0.861595	+	0.279949i	0.706294	−	0.707918i	$-0.250365\pi$
$101$	8.65892	+	2.81345i	0.861595	+	0.279949i	0.155300	+	0.987867i	$0.450365\pi$
$102$	−1.29833	+	0.464563i	−0.128554	+	0.0459986i
$103$	−2.51498	−	1.82724i	−0.247808	−	0.180043i	0.456947	−	0.889494i	$-0.348943\pi$
$103$	−2.51498	−	1.82724i	−0.247808	−	0.180043i	−0.704755	+	0.709451i	$0.748943\pi$
$104$	0.551081	+	1.69605i	0.0540379	+	0.166312i
$105$	−0.0703060	−	2.38571i	−0.00686116	−	0.232821i
$106$	5.54647	+	7.63407i	0.538721	+	0.741486i
$107$	12.7508	+	4.14298i	1.23267	+	0.400517i	0.851679	−	0.524064i	$-0.175585\pi$
$107$	12.7508	+	4.14298i	1.23267	+	0.400517i	0.380986	+	0.924581i	$0.375585\pi$
$108$	4.45696	+	2.67124i	0.428871	+	0.257040i
$109$	9.55536	−	6.94238i	0.915238	−	0.664959i	−0.0270963	−	0.999633i	$-0.508626\pi$
$109$	9.55536	−	6.94238i	0.915238	−	0.664959i	0.942334	+	0.334674i	$0.108626\pi$
$110$	0.950001	−	2.92380i	0.0905790	−	0.278773i
$111$	−17.4726	−	5.11332i	−1.65843	−	0.485335i
$112$	1.11482	+	0.809961i	0.105340	+	0.0765341i
$113$	3.73772	−	1.21446i	0.351616	−	0.114247i	−0.127884	−	0.991789i	$-0.540818\pi$
$113$	3.73772	−	1.21446i	0.351616	−	0.114247i	0.479499	+	0.877542i	$0.340818\pi$
$114$	−0.101440	−	3.44217i	−0.00950069	−	0.322389i
$115$	−3.21465	−	1.04450i	−0.299768	−	0.0974004i
$116$	−0.515970	+	1.58799i	−0.0479066	+	0.147441i
$117$	0.315052	+	5.34072i	0.0291265	+	0.493750i
$118$	5.97091			0.549667
$119$	−1.09706			−0.100567
$120$	−1.43064	−	0.976355i	−0.130599	−	0.0891287i
$121$	1.25308	−	0.910413i	0.113916	−	0.0827648i
$122$	−7.97976	−	5.79764i	−0.722454	−	0.524893i
$123$	−5.42733	−	7.02519i	−0.489366	−	0.633440i
$124$	−0.190623	+	5.56450i	−0.0171184	+	0.499707i
$125$		−	1.00000i		−	0.0894427i
$126$	2.62262	+	3.19555i	0.233641	+	0.284682i
$127$	−2.21763	−	3.05230i	−0.196782	−	0.270848i	0.699211	−	0.714916i	$-0.253535\pi$
$127$	−2.21763	−	3.05230i	−0.196782	−	0.270848i	−0.895993	+	0.444068i	$0.853535\pi$
$128$	0.951057	−	0.309017i	0.0840623	−	0.0273135i
$129$	0.615913	+	0.797243i	0.0542281	+	0.0701933i
$130$		−	1.78333i		−	0.156409i
$131$	13.2582	−	4.30784i	1.15837	−	0.376378i	0.334081	−	0.942544i	$-0.391574\pi$
$131$	13.2582	−	4.30784i	1.15837	−	0.376378i	0.824291	+	0.566167i	$0.191574\pi$
$132$	1.79391	+	5.01350i	0.156140	+	0.436370i
$133$	0.846620	−	2.60563i	0.0734113	−	0.225937i
$134$	−4.98419	+	6.86015i	−0.430568	+	0.592627i
$135$	−3.41336	−	3.91778i	−0.293775	−	0.337188i
$136$	−0.467955	+	0.644084i	−0.0401268	+	0.0552298i
$137$	9.29480	−	6.75307i	0.794108	−	0.576953i	−0.115071	−	0.993357i	$-0.536710\pi$
$137$	9.29480	−	6.75307i	0.794108	−	0.576953i	0.909180	+	0.416404i	$0.136710\pi$
$138$	5.51223	−	1.97236i	0.469232	−	0.167899i
$139$	2.82088	+	3.88261i	0.239264	+	0.329319i	0.911715	−	0.410823i	$-0.134759\pi$
$139$	2.82088	+	3.88261i	0.239264	+	0.329319i	−0.672451	+	0.740141i	$0.734759\pi$
$140$	−0.809961	−	1.11482i	−0.0684542	−	0.0942191i
$141$	3.98795	−	1.42695i	0.335846	−	0.120171i
$142$	2.07442	−	1.50715i	0.174081	−	0.126477i
$143$	−3.22250	+	4.43539i	−0.269479	+	0.370906i
$144$	2.99479	−	0.176664i	0.249566	−	0.0147220i
$145$	0.981432	−	1.35083i	0.0815035	−	0.112180i
$146$	2.68592	−	8.26641i	0.222288	−	0.684133i
$147$	−2.97664	−	8.31894i	−0.245510	−	0.686134i
$148$	−9.99647	+	3.24805i	−0.821705	+	0.266988i
$149$			8.27034i			0.677533i	0.940871	+	0.338766i	$0.110010\pi$
$149$			8.27034i			0.677533i	−0.940871	+	0.338766i	$0.889990\pi$
$150$	1.05891	+	1.37066i	0.0864595	+	0.111914i
$151$	4.54350	−	1.47627i	0.369745	−	0.120137i	−0.118250	−	0.992984i	$-0.537729\pi$
$151$	4.54350	−	1.47627i	0.369745	−	0.120137i	0.487995	+	0.872847i	$0.337729\pi$
$152$	−1.16864	−	1.60849i	−0.0947889	−	0.130466i
$153$	−1.84623	+	1.51521i	−0.149259	+	0.122498i
$154$			4.23630i			0.341371i
$155$	1.90082	−	5.23325i	0.152677	−	0.420345i
$156$	1.88839	+	2.44435i	0.151192	+	0.195704i
$157$	−16.6266	−	12.0799i	−1.32695	−	0.964083i	−0.999818	−	0.0191033i	$-0.993919\pi$
$157$	−16.6266	−	12.0799i	−1.32695	−	0.964083i	−0.327129	−	0.944980i	$-0.606081\pi$
$158$	6.25572	−	4.54505i	0.497678	−	0.361584i
$159$	13.4998	+	9.21311i	1.07061	+	0.730647i
$160$	−1.00000			−0.0790569
$161$	4.65771			0.367079
$162$	8.82713	+	1.75551i	0.693525	+	0.137926i
$163$	−1.04094	+	3.20369i	−0.0815329	+	0.250932i	−0.983511	−	0.180850i	$-0.942115\pi$
$163$	−1.04094	+	3.20369i	−0.0815329	+	0.250932i	0.901978	+	0.431782i	$0.142115\pi$
$164$	−4.87455	−	1.58384i	−0.380638	−	0.123677i
$165$	−0.156851	−	5.32247i	−0.0122109	−	0.414354i
$166$	−3.52672	+	1.14590i	−0.273727	+	0.0889391i
$167$	−13.6135	−	9.89081i	−1.05345	−	0.765374i	−0.0805817	−	0.996748i	$-0.525678\pi$
$167$	−13.6135	−	9.89081i	−1.05345	−	0.765374i	−0.972865	+	0.231374i	$0.925678\pi$
$168$	2.29067	+	0.670360i	0.176729	+	0.0517194i
$169$	3.03446	−	9.33911i	0.233420	−	0.718393i
$170$	0.644084	−	0.467955i	0.0493990	−	0.0358905i
$171$	−2.17402	−	5.55429i	−0.166251	−	0.424747i
$172$	0.553181	+	0.179739i	0.0421796	+	0.0137050i
$173$	5.39900	+	7.43109i	0.410478	+	0.564975i	0.963335	−	0.268301i	$-0.0864623\pi$
$173$	5.39900	+	7.43109i	0.410478	+	0.564975i	−0.552857	+	0.833276i	$0.686462\pi$
$174$	0.0851900	+	2.89077i	0.00645824	+	0.219149i
$175$	0.425822	+	1.31054i	0.0321891	+	0.0990679i
$176$	2.48713	+	1.80701i	0.187475	+	0.136208i
$177$	9.73735	−	3.48418i	0.731904	−	0.261887i
$178$	4.75588	+	1.54528i	0.356469	+	0.115824i
$179$	2.01878	+	6.21316i	0.150891	+	0.464393i	0.997721	−	0.0674690i	$-0.0214924\pi$
$179$	2.01878	+	6.21316i	0.150891	+	0.464393i	−0.846831	+	0.531862i	$0.821492\pi$
$180$	−2.90281	−	0.757424i	−0.216363	−	0.0564551i
$181$		−	11.9506i		−	0.888284i	−0.895956	−	0.444142i	$-0.853509\pi$
$181$		−	11.9506i		−	0.888284i	0.895956	−	0.444142i	$-0.146491\pi$
$182$	0.759383	+	2.33714i	0.0562892	+	0.173240i
$183$	−16.3964	−	4.79838i	−1.21206	−	0.354707i
$184$	1.98676	−	2.73454i	0.146466	−	0.201593i
$185$	10.5109			0.772777
$186$	2.93616	+	9.18580i	0.215289	+	0.673536i
$187$	−2.44752			−0.178981
$188$	1.43737	−	1.97837i	0.104831	−	0.144288i
$189$	6.14164	+	3.68094i	0.446738	+	0.267749i
$190$	0.614388	+	1.89089i	0.0445724	+	0.137180i
$191$		−	17.8266i		−	1.28988i	−0.764231	−	0.644942i	$-0.776881\pi$
$191$		−	17.8266i		−	1.28988i	0.764231	−	0.644942i	$-0.223119\pi$
$192$	1.37066	−	1.05891i	0.0989190	−	0.0764202i
$193$	4.19546	+	12.9123i	0.301996	+	0.929447i	0.980781	+	0.195111i	$0.0625066\pi$
$193$	4.19546	+	12.9123i	0.301996	+	0.929447i	−0.678785	+	0.734337i	$0.737493\pi$
$194$	−9.72211	−	3.15890i	−0.698006	−	0.226796i
$195$	−1.04062	−	2.90826i	−0.0745203	−	0.208265i
$196$	−4.12692	−	2.99838i	−0.294780	−	0.214170i
$197$	−5.72466	−	17.6187i	−0.407865	−	1.25528i	−0.918479	−	0.395470i	$-0.870582\pi$
$197$	−5.72466	−	17.6187i	−0.407865	−	1.25528i	0.510614	−	0.859810i	$-0.329418\pi$
$198$	5.85101	+	7.12922i	0.415813	+	0.506651i
$199$	2.85956	+	3.93585i	0.202709	+	0.279005i	0.898253	−	0.439478i	$-0.144837\pi$
$199$	2.85956	+	3.93585i	0.202709	+	0.279005i	−0.695544	+	0.718483i	$0.744837\pi$
$200$	0.951057	+	0.309017i	0.0672499	+	0.0218508i
$201$	−4.12514	+	14.0959i	−0.290965	+	0.994249i
$202$	7.36572	−	5.35151i	0.518250	−	0.376531i
$203$	−0.711000	+	2.18823i	−0.0499024	+	0.153584i
$204$	−0.387300	+	1.32343i	−0.0271164	+	0.0926589i
$205$	4.14654	+	3.01264i	0.289607	+	0.210412i
$206$	−2.95654	+	0.960637i	−0.205992	+	0.0669307i
$207$	7.83841	−	6.43304i	0.544807	−	0.447127i
$208$	1.69605	+	0.551081i	0.117600	+	0.0382106i
$209$	1.88879	−	5.81311i	0.130651	−	0.402101i
$210$	−1.97140	−	1.34541i	−0.136040	−	0.0928419i
$211$	2.18111			0.150154			0.0750770	−	0.997178i	$-0.476080\pi$
$211$	2.18111			0.150154			0.0750770	+	0.997178i	$0.476080\pi$
$212$	9.43622			0.648083
$213$	2.50349	−	3.66833i	0.171537	−	0.251350i
$214$	10.8465	−	7.88042i	0.741449	−	0.538694i
$215$	−0.470564	−	0.341884i	−0.0320922	−	0.0233163i
$216$	4.78081	−	2.03564i	0.325293	−	0.138508i
$217$	−0.262676	+	7.66782i	−0.0178316	+	0.520525i
$218$		−	11.8111i		−	0.799947i
$219$	−0.443463	−	15.0481i	−0.0299664	−	1.01686i
$220$	−1.80701	−	2.48713i	−0.121828	−	0.167683i
$221$	−1.35028	+	0.438733i	−0.0908298	+	0.0295124i
$222$	−14.4069	+	11.1301i	−0.966928	+	0.747003i
$223$		−	0.462227i		−	0.0309530i	−0.999880	−	0.0154765i	$-0.995073\pi$
$223$		−	0.462227i		−	0.0309530i	0.999880	−	0.0154765i	$-0.00492652\pi$
$224$	1.31054	−	0.425822i	0.0875645	−	0.0284514i
$225$	2.52668	+	1.61737i	0.168445	+	0.107825i
$226$	1.21446	−	3.73772i	0.0807847	−	0.248630i
$227$	7.64582	−	10.5236i	0.507471	−	0.698474i	−0.476019	−	0.879435i	$-0.657921\pi$
$227$	7.64582	−	10.5236i	0.507471	−	0.698474i	0.983490	+	0.180961i	$0.0579207\pi$
$228$	−2.84440	−	1.94119i	−0.188375	−	0.128559i
$229$	−13.0548	+	17.9684i	−0.862688	+	1.18739i	0.118234	+	0.992986i	$0.462277\pi$
$229$	−13.0548	+	17.9684i	−0.862688	+	1.18739i	−0.980922	+	0.194403i	$0.937723\pi$
$230$	−2.73454	+	1.98676i	−0.180310	+	0.131003i
$231$	2.47199	+	6.90855i	0.162645	+	0.454549i
$232$	0.981432	+	1.35083i	0.0644342	+	0.0886861i
$233$	−6.36656	−	8.76282i	−0.417087	−	0.574072i	0.547842	−	0.836582i	$-0.315450\pi$
$233$	−6.36656	−	8.76282i	−0.417087	−	0.574072i	−0.964929	+	0.262510i	$0.915450\pi$
$234$	4.50592	+	2.88431i	0.294561	+	0.188554i
$235$	−1.97837	+	1.43737i	−0.129055	+	0.0937638i
$236$	3.50962	−	4.83057i	0.228457	−	0.314443i
$237$	7.54966	−	11.0624i	0.490403	−	0.718581i
$238$	−0.644836	+	0.887541i	−0.0417985	+	0.0575307i
$239$	−7.89492	+	24.2981i	−0.510680	+	1.57171i	0.280327	+	0.959905i	$0.409557\pi$
$239$	−7.89492	+	24.2981i	−0.510680	+	1.57171i	−0.791007	+	0.611807i	$0.790443\pi$
$240$	−1.63080	+	0.583524i	−0.105267	+	0.0376663i
$241$	7.13604	−	2.31864i	0.459672	−	0.149357i	−0.0700215	−	0.997545i	$-0.522307\pi$
$241$	7.13604	−	2.31864i	0.459672	−	0.149357i	0.529694	+	0.848189i	$0.322307\pi$
$242$		−	1.54889i		−	0.0995662i
$243$	15.4196	−	2.28797i	0.989170	−	0.146773i
$244$	−9.38077	+	3.04800i	−0.600542	+	0.195128i
$245$	2.99838	+	4.12692i	0.191559	+	0.263659i
$246$	−8.87361	+	0.261502i	−0.565760	+	0.0166728i
$247$		−	3.54563i		−	0.225603i
$248$	4.38973	+	3.42495i	0.278748	+	0.217484i
$249$	−5.08270	+	3.92666i	−0.322103	+	0.248842i
$250$	−0.809017	−	0.587785i	−0.0511667	−	0.0371748i
$251$	9.66476	−	7.02186i	0.610034	−	0.443216i	−0.239392	−	0.970923i	$-0.576948\pi$
$251$	9.66476	−	7.02186i	0.610034	−	0.443216i	0.849426	+	0.527707i	$0.176948\pi$
$252$	4.12679	−	0.243441i	0.259963	−	0.0153354i
$253$	10.3913			0.653294
$254$	−3.77285			−0.236730
$255$	0.777308	−	1.13898i	0.0486769	−	0.0713256i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	10.4633	+	3.39973i	0.652683	+	0.212070i	0.616597	−	0.787279i	$-0.288511\pi$
$257$	10.4633	+	3.39973i	0.652683	+	0.212070i	0.0360861	+	0.999349i	$0.488511\pi$
$258$	1.00701	−	0.0296761i	0.0626936	−	0.00184756i
$259$	−13.7750	+	4.47577i	−0.855938	+	0.278111i
$260$	−1.44275	−	1.04822i	−0.0894755	−	0.0650077i
$261$	1.82576	+	4.66455i	0.113012	+	0.288729i
$262$	4.30784	−	13.2582i	0.266139	−	0.819092i
$263$	−21.1673	+	15.3789i	−1.30523	+	0.948305i	−0.999992	−	0.00397107i	$-0.998736\pi$
$263$	−21.1673	+	15.3789i	−1.30523	+	0.948305i	−0.305238	+	0.952276i	$0.598736\pi$
$264$	5.11044	+	1.49556i	0.314526	+	0.0920454i
$265$	−8.97438	−	2.91595i	−0.551292	−	0.179126i
$266$	−1.61037	−	2.21648i	−0.0987379	−	0.135901i
$267$	8.65759	−	0.255136i	0.529836	−	0.0156141i
$268$	2.62034	+	8.06459i	0.160063	+	0.492623i
$269$	−8.09527	−	5.88156i	−0.493577	−	0.358605i	0.312981	−	0.949759i	$-0.398672\pi$
$269$	−8.09527	−	5.88156i	−0.493577	−	0.358605i	−0.806558	+	0.591154i	$0.798672\pi$
$270$	−5.17587	+	0.458655i	−0.314993	+	0.0279129i
$271$	8.11852	+	2.63787i	0.493165	+	0.160239i	0.545033	−	0.838415i	$-0.316517\pi$
$271$	8.11852	+	2.63787i	0.493165	+	0.160239i	−0.0518673	+	0.998654i	$0.516517\pi$
$272$	0.246018	+	0.757167i	0.0149171	+	0.0459100i
$273$	2.60218	+	3.36828i	0.157491	+	0.203858i
$274$		−	11.4890i		−	0.694076i
$275$	0.950001	+	2.92380i	0.0572872	+	0.176312i
$276$	1.64433	−	5.61881i	0.0989772	−	0.338213i
$277$	−4.16441	+	5.73182i	−0.250215	+	0.344392i	−0.915587	−	0.402121i	$-0.868273\pi$
$277$	−4.16441	+	5.73182i	−0.250215	+	0.344392i	0.665371	+	0.746512i	$0.268273\pi$
$278$	4.79917			0.287835
$279$	10.1484	+	13.2669i	0.607570	+	0.794266i
$280$	−1.37799			−0.0823506
$281$	−15.3139	+	21.0778i	−0.913554	+	1.25740i	0.0523850	+	0.998627i	$0.483318\pi$
$281$	−15.3139	+	21.0778i	−0.913554	+	1.25740i	−0.965939	+	0.258772i	$0.916682\pi$
$282$	1.18963	−	4.06506i	0.0708416	−	0.242071i
$283$	−1.24886	−	3.84360i	−0.0742371	−	0.228478i	0.907052	−	0.421019i	$-0.138327\pi$
$283$	−1.24886	−	3.84360i	−0.0742371	−	0.228478i	−0.981289	+	0.192540i	$0.938327\pi$
$284$		−	2.56412i		−	0.152153i
$285$	2.10532	+	2.72515i	0.124709	+	0.161424i
$286$	1.69417	+	5.21412i	0.100178	+	0.308317i
$287$	−6.71707	−	2.18251i	−0.396496	−	0.128829i
$288$	1.61737	−	2.52668i	0.0953045	−	0.148886i
$289$	13.2405	+	9.61980i	0.778854	+	0.565870i
$290$	−0.515970	−	1.58799i	−0.0302988	−	0.0932500i
$291$	−17.6981	+	0.521556i	−1.03748	+	0.0305741i
$292$	−5.10892	−	7.03182i	−0.298977	−	0.411506i
$293$	2.91137	+	0.945962i	0.170084	+	0.0552637i	0.392821	−	0.919615i	$-0.371499\pi$
$293$	2.91137	+	0.945962i	0.170084	+	0.0552637i	−0.222737	+	0.974879i	$0.571499\pi$
$294$	−8.47979	−	2.48159i	−0.494551	−	0.144729i
$295$	−4.83057	+	3.50962i	−0.281247	+	0.204338i
$296$	−3.24805	+	9.99647i	−0.188789	+	0.581033i
$297$	13.7019	+	8.21210i	0.795063	+	0.476515i
$298$	6.69084	+	4.86118i	0.387590	+	0.281601i
$299$	5.73280	−	1.86270i	0.331536	−	0.107723i
$300$	1.73130	−	0.0510207i	0.0999566	−	0.00294568i
$301$	0.762277	+	0.247679i	0.0439369	+	0.0142760i
$302$	1.47627	−	4.54350i	0.0849499	−	0.261449i
$303$	8.88925	−	13.0253i	0.510674	−	0.748284i
$304$	−1.98820			−0.114031
$305$	9.86353			0.564784
$306$	0.140648	+	2.38425i	0.00804032	+	0.136299i
$307$	−17.5424	+	12.7453i	−1.00120	+	0.727411i	−0.962344	−	0.271834i	$-0.912370\pi$
$307$	−17.5424	+	12.7453i	−1.00120	+	0.727411i	−0.0388514	+	0.999245i	$0.512370\pi$
$308$	3.42724	+	2.49004i	0.195285	+	0.141883i
$309$	−4.26096	+	3.29182i	−0.242397	+	0.187265i
$310$	−3.11651	−	4.61382i	−0.177006	−	0.262047i
$311$			27.3035i			1.54824i	0.633039	+	0.774120i	$0.281807\pi$
$311$			27.3035i			1.54824i	−0.633039	+	0.774120i	$0.718193\pi$
$312$	3.08749	−	0.0909871i	0.174794	−	0.00515113i
$313$	18.4458	+	25.3885i	1.04262	+	1.43504i	0.895037	+	0.445992i	$0.147149\pi$
$313$	18.4458	+	25.3885i	1.04262	+	1.43504i	0.147582	+	0.989050i	$0.452851\pi$
$314$	−19.5457	+	6.35079i	−1.10303	+	0.358396i
$315$	−4.00004	−	1.04372i	−0.225377	−	0.0588071i
$316$		−	7.73249i		−	0.434987i
$317$	5.29298	−	1.71979i	0.297283	−	0.0965932i	−0.156578	−	0.987666i	$-0.550046\pi$
$317$	5.29298	−	1.71979i	0.297283	−	0.0965932i	0.453861	+	0.891072i	$0.350046\pi$
$318$	15.3886	−	5.50627i	0.862948	−	0.308776i
$319$	−1.58623	+	4.88191i	−0.0888117	+	0.273334i
$320$	−0.587785	+	0.809017i	−0.0328582	+	0.0452254i
$321$	13.0900	−	19.1805i	0.730611	−	1.07055i
$322$	2.73774	−	3.76817i	0.152568	−	0.209992i
$323$	1.28057	−	0.930389i	0.0712528	−	0.0517682i
$324$	6.60869	−	6.10944i	0.367149	−	0.339413i
$325$	1.04822	+	1.44275i	0.0581447	+	0.0800293i
$326$	1.97999	+	2.72522i	0.109661	+	0.150936i
$327$	−6.89205	−	19.2615i	−0.381131	−	1.06516i
$328$	−4.14654	+	3.01264i	−0.228954	+	0.166345i
$329$	1.98068	−	2.72617i	0.109198	−	0.150299i
$330$	−4.39817	−	3.00158i	−0.242111	−	0.165231i
$331$	14.5433	−	20.0171i	0.799372	−	1.10024i	−0.193506	−	0.981099i	$-0.561986\pi$
$331$	14.5433	−	20.0171i	0.799372	−	1.10024i	0.992877	−	0.119141i	$-0.0380142\pi$
$332$	−1.14590	+	3.52672i	−0.0628895	+	0.193554i
$333$	−17.0000	+	26.5577i	−0.931597	+	1.45535i
$334$	−16.0037	+	5.19991i	−0.875682	+	0.284526i
$335$		−	8.47961i		−	0.463291i
$336$	1.88876	−	1.45916i	0.103040	−	0.0796039i
$337$	17.3501	−	5.63739i	0.945121	−	0.307088i	0.204389	−	0.978890i	$-0.434479\pi$
$337$	17.3501	−	5.63739i	0.945121	−	0.307088i	0.740731	+	0.671801i	$0.234479\pi$
$338$	−5.77188	−	7.94432i	−0.313949	−	0.432114i
$339$	−0.200515	−	6.80414i	−0.0108905	−	0.369550i
$340$		−	0.796132i		−	0.0431763i
$341$	−0.586025	+	17.1068i	−0.0317350	+	0.926383i
$342$	−5.77137	−	1.50591i	−0.312080	−	0.0814304i
$343$	−13.4906	−	9.80146i	−0.728421	−	0.529229i
$344$	0.470564	−	0.341884i	0.0253711	−	0.0184332i
$345$	−3.30016	+	4.83568i	−0.177675	+	0.260344i
$346$	9.18533			0.493806
$347$	−11.0027			−0.590655			−0.295327	−	0.955396i	$-0.595429\pi$
$347$	−11.0027			−0.590655			−0.295327	+	0.955396i	$0.595429\pi$
$348$	2.38876	+	1.63023i	0.128051	+	0.0873897i
$349$	−5.28661	+	16.2705i	−0.282986	+	0.870941i	0.704009	+	0.710191i	$0.251391\pi$
$349$	−5.28661	+	16.2705i	−0.282986	+	0.870941i	−0.986995	+	0.160750i	$0.948609\pi$
$350$	1.31054	+	0.425822i	0.0700516	+	0.0227611i
$351$	9.03130	+	2.07442i	0.482055	+	0.110724i
$352$	2.92380	−	0.950001i	0.155839	−	0.0506352i
$353$	−25.4131	−	18.4637i	−1.35260	−	0.982724i	−0.998877	−	0.0473743i	$-0.984915\pi$
$353$	−25.4131	−	18.4637i	−1.35260	−	0.982724i	−0.353726	−	0.935349i	$-0.615085\pi$
$354$	2.90471	−	9.92563i	0.154384	−	0.527541i
$355$	−0.792357	+	2.43862i	−0.0420540	+	0.129429i
$356$	4.04560	−	2.93930i	0.214416	−	0.155782i
$357$	−0.533695	+	1.82368i	−0.0282461	+	0.0965192i
$358$	6.21316	+	2.01878i	0.328376	+	0.106696i
$359$	−0.724724	−	0.997497i	−0.0382495	−	0.0526459i	0.789464	−	0.613797i	$-0.210359\pi$
$359$	−0.724724	−	0.997497i	−0.0382495	−	0.0526459i	−0.827713	+	0.561151i	$0.810359\pi$
$360$	−2.31900	+	1.90322i	−0.122222	+	0.100309i
$361$	−4.64979	−	14.3106i	−0.244726	−	0.753189i
$362$	−9.66827	−	7.02441i	−0.508153	−	0.369195i
$363$	−0.903813	−	2.52592i	−0.0474379	−	0.132576i
$364$	2.33714	+	0.759383i	0.122499	+	0.0398025i
$365$	2.68592	+	8.26641i	0.140587	+	0.432683i
$366$	−13.5196	+	10.4446i	−0.706679	+	0.545947i
$367$		−	1.24868i		−	0.0651808i	−0.999469	−	0.0325904i	$-0.989624\pi$
$367$		−	1.24868i		−	0.0651808i	0.999469	−	0.0325904i	$-0.0103757\pi$
$368$	−1.04450	−	3.21465i	−0.0544485	−	0.167575i
$369$	−14.3185	+	5.60442i	−0.745389	+	0.291755i
$370$	6.17816	−	8.50350i	0.321187	−	0.442076i
$371$	13.0030			0.675082
$372$	9.15730	+	3.02388i	0.474784	+	0.156781i
$373$	18.5807			0.962070			0.481035	−	0.876701i	$-0.340261\pi$
$373$	18.5807			0.962070			0.481035	+	0.876701i	$0.340261\pi$
$374$	−1.43862	+	1.98009i	−0.0743891	+	0.102388i
$375$	−1.66233	−	0.486477i	−0.0858423	−	0.0251216i
$376$	−0.755671	−	2.32572i	−0.0389707	−	0.119940i
$377$			2.97766i			0.153357i
$378$	6.58790	−	2.80509i	0.338845	−	0.144278i
$379$	11.8858	+	36.5806i	0.610531	+	1.87902i	0.453013	+	0.891504i	$0.350349\pi$
$379$	11.8858	+	36.5806i	0.610531	+	1.87902i	0.157517	+	0.987516i	$0.449651\pi$
$380$	1.89089	+	0.614388i	0.0970008	+	0.0315175i
$381$	−6.15275	+	2.20155i	−0.315215	+	0.112789i
$382$	−14.4220	−	10.4782i	−0.737893	−	0.536111i
$383$	−2.06209	−	6.34647i	−0.105368	−	0.324290i	0.884449	−	0.466638i	$-0.154535\pi$
$383$	−2.06209	−	6.34647i	−0.105368	−	0.324290i	−0.989817	+	0.142348i	$0.954535\pi$
$384$	−0.0510207	−	1.73130i	−0.00260364	−	0.0883500i
$385$	−2.49004	−	3.42724i	−0.126904	−	0.174668i
$386$	12.9123	+	4.19546i	0.657219	+	0.213543i
$387$	1.62491	−	0.636009i	0.0825987	−	0.0323302i
$388$	−8.27012	+	6.00859i	−0.419852	+	0.305040i
$389$	−2.44522	+	7.52562i	−0.123978	+	0.381564i	−0.993713	−	0.111954i	$-0.964289\pi$
$389$	−2.44522	+	7.52562i	−0.123978	+	0.381564i	0.869736	+	0.493518i	$0.164289\pi$
$390$	−2.96449	−	0.867552i	−0.150113	−	0.0439302i
$391$	2.17706	+	1.58173i	0.110099	+	0.0799913i
$392$	−4.85148	+	1.57634i	−0.245037	+	0.0796173i
$393$	−0.711253	−	24.1351i	−0.0358780	−	1.21746i
$394$	−17.6187	−	5.72466i	−0.887617	−	0.288404i
$395$	−2.38947	+	7.35404i	−0.120227	+	0.370022i
$396$	9.20679	−	0.543113i	0.462659	−	0.0272925i
$397$	15.0936			0.757528			0.378764	−	0.925493i	$-0.376349\pi$
$397$	15.0936			0.757528			0.378764	+	0.925493i	$0.376349\pi$
$398$	4.86498			0.243859
$399$	−3.91955	−	2.67494i	−0.196223	−	0.133915i
$400$	0.809017	−	0.587785i	0.0404508	−	0.0293893i
$401$	13.1814	+	9.57685i	0.658248	+	0.478245i	0.866071	−	0.499922i	$-0.166638\pi$
$401$	13.1814	+	9.57685i	0.658248	+	0.478245i	−0.207823	+	0.978166i	$0.566638\pi$
$402$	8.97913	+	11.6227i	0.447838	+	0.579686i
$403$	2.74318	+	9.54273i	0.136648	+	0.475357i
$404$		−	9.10453i		−	0.452967i
$405$	−8.17316	+	3.76822i	−0.406127	+	0.187244i
$406$	1.35240	+	1.86142i	0.0671186	+	0.0923808i
$407$	−30.7318	+	9.98537i	−1.52332	+	0.494956i
$408$	0.843031	+	1.09123i	0.0417363	+	0.0540238i
$409$		−	8.65301i		−	0.427864i	−0.976849	−	0.213932i	$-0.931373\pi$
$409$		−	8.65301i		−	0.427864i	0.976849	−	0.213932i	$-0.0686271\pi$
$410$	4.87455	−	1.58384i	0.240737	−	0.0782201i
$411$	−6.70412	−	18.7362i	−0.330690	−	0.924190i
$412$	−0.960637	+	2.95654i	−0.0473272	+	0.145658i
$413$	4.83621	−	6.65647i	0.237974	−	0.327544i
$414$	−0.597140	−	10.1226i	−0.0293478	−	0.497501i
$415$	2.17963	−	3.00001i	0.106994	−	0.147265i
$416$	1.44275	−	1.04822i	0.0707366	−	0.0513931i
$417$	7.82647	−	2.80043i	0.383264	−	0.137138i
$418$	−3.59270	−	4.94492i	−0.175725	−	0.241864i
$419$	−15.5127	−	21.3514i	−0.757844	−	1.04308i	−0.997390	−	0.0721974i	$-0.976999\pi$
$419$	−15.5127	−	21.3514i	−0.757844	−	1.04308i	0.239547	−	0.970885i	$-0.423001\pi$
$420$	−2.24722	+	0.804090i	−0.109653	+	0.0392356i
$421$	−12.7423	+	9.25786i	−0.621024	+	0.451200i	−0.853279	−	0.521455i	$-0.825390\pi$
$421$	−12.7423	+	9.25786i	−0.621024	+	0.451200i	0.232255	+	0.972655i	$0.425390\pi$
$422$	1.28203	−	1.76456i	0.0624081	−	0.0858974i
$423$	−0.432015	−	7.32347i	−0.0210053	−	0.356080i
$424$	5.54647	−	7.63407i	0.269361	−	0.370743i
$425$	−0.246018	+	0.757167i	−0.0119336	+	0.0367280i
$426$	−1.49623	−	4.18156i	−0.0724925	−	0.202597i
$427$	−12.9266	+	4.20011i	−0.625562	+	0.203257i
$428$		−	13.4070i		−	0.648050i
$429$	5.80541	+	7.51458i	0.280288	+	0.362807i
$430$	−0.553181	+	0.179739i	−0.0266767	+	0.00866780i
$431$	−5.99748	−	8.25482i	−0.288888	−	0.397621i	0.639764	−	0.768571i	$-0.279032\pi$
$431$	−5.99748	−	8.25482i	−0.288888	−	0.397621i	−0.928653	+	0.370950i	$0.879032\pi$
$432$	1.16322	−	5.06428i	0.0559657	−	0.243655i
$433$		−	14.6161i		−	0.702404i	−0.936300	−	0.351202i	$-0.885773\pi$
$433$		−	14.6161i		−	0.702404i	0.936300	−	0.351202i	$-0.114227\pi$
$434$	6.04900	+	4.71954i	0.290361	+	0.226545i
$435$	−1.76807	−	2.28861i	−0.0847726	−	0.109730i
$436$	−9.55536	−	6.94238i	−0.457619	−	0.332480i
$437$	−5.43683	+	3.95009i	−0.260079	+	0.188958i
$438$	−12.4349	−	8.48630i	−0.594160	−	0.405491i
$439$	−7.55340			−0.360504			−0.180252	−	0.983620i	$-0.557691\pi$
$439$	−7.55340			−0.360504			−0.180252	+	0.983620i	$0.557691\pi$
$440$	−3.07427			−0.146560
$441$	−15.2769	+	0.901191i	−0.727471	+	0.0429139i
$442$	−0.438733	+	1.35028i	−0.0208684	+	0.0642264i
$443$	−5.11645	−	1.66243i	−0.243090	−	0.0789846i	0.184938	−	0.982750i	$-0.440792\pi$
$443$	−5.11645	−	1.66243i	−0.243090	−	0.0789846i	−0.428028	+	0.903766i	$0.640792\pi$
$444$	0.536275	+	18.1975i	0.0254505	+	0.863617i
$445$	−4.75588	+	1.54528i	−0.225450	+	0.0732533i
$446$	−0.373949	−	0.271690i	−0.0177070	−	0.0128649i
$447$	13.7480	+	4.02333i	0.650259	+	0.190297i
$448$	0.425822	−	1.31054i	0.0201182	−	0.0619174i
$449$	−11.4823	+	8.34241i	−0.541885	+	0.393703i	−0.824785	−	0.565447i	$-0.808704\pi$
$449$	−11.4823	+	8.34241i	−0.541885	+	0.393703i	0.282899	+	0.959150i	$0.408704\pi$
$450$	2.79363	−	1.09346i	0.131693	−	0.0515462i
$451$	−14.9857	−	4.86914i	−0.705647	−	0.229279i
$452$	−2.31004	−	3.17950i	−0.108655	−	0.149551i
$453$	−0.243742	−	8.27096i	−0.0114520	−	0.388604i
$454$	−4.01965	−	12.3712i	−0.188651	−	0.580609i
$455$	−1.98809	−	1.44443i	−0.0932031	−	0.0677160i
$456$	−3.24235	+	1.16016i	−0.151837	+	0.0543297i
$457$	−1.07525	−	0.349369i	−0.0502980	−	0.0163428i	0.283760	−	0.958895i	$-0.408418\pi$
$457$	−1.07525	−	0.349369i	−0.0502980	−	0.0163428i	−0.334058	+	0.942553i	$0.608418\pi$
$458$	6.86334	+	21.1232i	0.320703	+	0.987021i
$459$	1.62064	+	3.80616i	0.0756449	+	0.177656i
$460$			3.38008i			0.157597i
$461$	−1.18139	−	3.63594i	−0.0550227	−	0.169342i	0.919769	−	0.392461i	$-0.128376\pi$
$461$	−1.18139	−	3.63594i	−0.0550227	−	0.169342i	−0.974791	+	0.223119i	$0.928376\pi$
$462$	7.04213	+	2.06087i	0.327630	+	0.0958801i
$463$	−1.64334	+	2.26187i	−0.0763727	+	0.105118i	−0.845494	−	0.533985i	$-0.820694\pi$
$463$	−1.64334	+	2.26187i	−0.0763727	+	0.105118i	0.769122	+	0.639103i	$0.220694\pi$
$464$	1.66971			0.0775145
$465$	−7.77468	−	5.70564i	−0.360542	−	0.264593i
$466$	−10.8314			−0.501757
$467$	−18.0364	+	24.8250i	−0.834625	+	1.14876i	0.152420	+	0.988316i	$0.451293\pi$
$467$	−18.0364	+	24.8250i	−0.834625	+	1.14876i	−0.987044	+	0.160447i	$0.948707\pi$
$468$	4.98197	−	1.95001i	0.230292	−	0.0901390i
$469$	3.61080	+	11.1129i	0.166731	+	0.513146i
$470$			2.44540i			0.112798i
$471$	−28.1693	+	21.7623i	−1.29797	+	1.00275i
$472$	−1.84511	−	5.67868i	−0.0849283	−	0.261382i
$473$	1.70062	+	0.552566i	0.0781948	+	0.0254070i
$474$	−4.51210	−	12.6101i	−0.207248	−	0.579202i
$475$	−1.60849	−	1.16864i	−0.0738026	−	0.0536207i
$476$	0.339010	+	1.04337i	0.0155385	+	0.0478226i
$477$	21.8826	−	17.9592i	1.00193	−	0.822296i
$478$	15.0170	+	20.6692i	0.686863	+	0.945386i
$479$	32.2693	+	10.4849i	1.47442	+	0.479068i	0.932440	−	0.361324i	$-0.117675\pi$
$479$	32.2693	+	10.4849i	1.47442	+	0.479068i	0.541979	+	0.840392i	$0.317675\pi$
$480$	−0.486477	+	1.66233i	−0.0222045	+	0.0758746i
$481$	−15.1646	+	11.0177i	−0.691446	+	0.502365i
$482$	2.31864	−	7.13604i	0.105611	−	0.325038i
$483$	2.26587	−	7.74266i	0.103101	−	0.352303i
$484$	−1.25308	−	0.910413i	−0.0569580	−	0.0413824i
$485$	9.72211	−	3.15890i	0.441458	−	0.143438i
$486$	7.21243	−	13.8196i	0.327162	−	0.626869i
$487$	18.9689	+	6.16336i	0.859561	+	0.279288i	0.705445	−	0.708764i	$-0.250747\pi$
$487$	18.9689	+	6.16336i	0.859561	+	0.279288i	0.154116	+	0.988053i	$0.450747\pi$
$488$	−3.04800	+	9.38077i	−0.137976	+	0.424648i
$489$	4.81919	+	3.28891i	0.217932	+	0.148730i
$490$	5.10115			0.230446
$491$	−14.9764			−0.675876			−0.337938	−	0.941168i	$-0.609729\pi$
$491$	−14.9764			−0.675876			−0.337938	+	0.941168i	$0.609729\pi$
$492$	−5.00422	+	7.33260i	−0.225607	+	0.330579i
$493$	−1.07544	+	0.781350i	−0.0484352	+	0.0351902i
$494$	−2.86848	−	2.08407i	−0.129059	−	0.0937667i
$495$	−8.92401	−	2.32852i	−0.401105	−	0.104659i
$496$	5.35106	−	1.53823i	0.240270	−	0.0690687i
$497$		−	3.53333i		−	0.158492i
$498$	0.189196	+	6.42003i	0.00847807	+	0.287688i
$499$	−19.8730	−	27.3528i	−0.889636	−	1.22448i	−0.973658	−	0.228014i	$-0.926777\pi$
$499$	−19.8730	−	27.3528i	−0.889636	−	1.22448i	0.0840221	−	0.996464i	$-0.473223\pi$
$500$	−0.951057	+	0.309017i	−0.0425325	+	0.0138197i
$501$	−23.0645	+	17.8185i	−1.03044	+	0.796073i
$502$		−	11.9463i		−	0.533190i
$503$	−7.37054	+	2.39483i	−0.328636	+	0.106780i	−0.468688	−	0.883364i	$-0.655273\pi$
$503$	−7.37054	+	2.39483i	−0.328636	+	0.106780i	0.140052	+	0.990144i	$0.455273\pi$
$504$	2.22872	−	3.48174i	0.0992750	−	0.155089i
$505$	−2.81345	+	8.65892i	−0.125197	+	0.385317i
$506$	6.10784	−	8.40672i	0.271526	−	0.373724i
$507$	−14.0485	−	9.58753i	−0.623915	−	0.425797i
$508$	−2.21763	+	3.05230i	−0.0983912	+	0.135424i
$509$	−2.21290	+	1.60777i	−0.0980851	+	0.0712630i	−0.635747	−	0.771898i	$-0.719308\pi$
$509$	−2.21290	+	1.60777i	−0.0980851	+	0.0712630i	0.537662	+	0.843161i	$0.319308\pi$
$510$	−0.464563	−	1.29833i	−0.0205712	−	0.0574910i
$511$	−7.04003	−	9.68977i	−0.311433	−	0.428650i
$512$	−0.587785	−	0.809017i	−0.0259767	−	0.0357538i
$513$	−10.2907	+	0.911900i	−0.454345	+	0.0402614i
$514$	8.90062	−	6.46668i	0.392589	−	0.285233i
$515$	1.82724	−	2.51498i	0.0805178	−	0.110823i
$516$	0.567896	−	0.832130i	0.0250002	−	0.0366325i
$517$	4.41886	−	6.08204i	0.194341	−	0.267488i
$518$	−4.47577	+	13.7750i	−0.196654	+	0.605240i
$519$	14.9794	−	5.35986i	0.657523	−	0.235272i
$520$	−1.69605	+	0.551081i	−0.0743768	+	0.0241665i
$521$			40.5197i			1.77520i	0.460614	+	0.887601i	$0.347629\pi$
$521$			40.5197i			1.77520i	−0.460614	+	0.887601i	$0.652371\pi$
$522$	4.84686	+	1.26468i	0.212141	+	0.0553536i
$523$	9.17992	−	2.98274i	0.401410	−	0.130426i	−0.101353	−	0.994851i	$-0.532317\pi$
$523$	9.17992	−	2.98274i	0.401410	−	0.130426i	0.502763	+	0.864425i	$0.332317\pi$
$524$	−8.19400	−	11.2781i	−0.357956	−	0.492685i
$525$	2.38571	−	0.0703060i	0.104121	−	0.00306841i
$526$			26.1642i			1.14081i
$527$	−2.72671	+	3.49481i	−0.118777	+	0.152236i
$528$	4.21378	−	3.25537i	0.183381	−	0.141672i
$529$	9.36441	+	6.80364i	0.407148	+	0.295810i
$530$	−7.63407	+	5.54647i	−0.331603	+	0.240923i
$531$	−1.05485	−	17.8817i	−0.0457765	−	0.775998i
$532$	−2.73972			−0.118782
$533$	−9.14031			−0.395911
$534$	4.88239	−	7.15410i	0.211282	−	0.309588i
$535$	−4.14298	+	12.7508i	−0.179117	+	0.551265i
$536$	8.06459	+	2.62034i	0.348337	+	0.113182i
$537$	11.3104	−	0.333314i	0.488080	−	0.0143835i
$538$	−9.51656	+	3.09212i	−0.410288	+	0.133311i
$539$	−12.6872	−	9.21782i	−0.546478	−	0.397040i
$540$	−2.67124	+	4.45696i	−0.114952	+	0.191797i
$541$	−8.70690	+	26.7971i	−0.374339	+	1.15210i	0.569585	+	0.821933i	$0.307104\pi$
$541$	−8.70690	+	26.7971i	−0.374339	+	1.15210i	−0.943924	+	0.330164i	$0.892896\pi$
$542$	6.90603	−	5.01752i	0.296639	−	0.215521i
$543$	−19.8659	−	5.81372i	−0.852528	−	0.249490i
$544$	0.757167	+	0.246018i	0.0324633	+	0.0105480i
$545$	6.94238	+	9.55536i	0.297379	+	0.409307i
$546$	4.25452	−	0.125379i	0.182077	−	0.00536573i
$547$	−5.74425	−	17.6790i	−0.245606	−	0.755899i	−0.995536	−	0.0943814i	$-0.969913\pi$
$547$	−5.74425	−	17.6790i	−0.245606	−	0.755899i	0.749930	−	0.661518i	$-0.230087\pi$
$548$	−9.29480	−	6.75307i	−0.397054	−	0.288477i
$549$	−15.9530	+	24.9220i	−0.680857	+	1.06364i
$550$	2.92380	+	0.950001i	0.124671	+	0.0405082i
$551$	−1.02585	−	3.15725i	−0.0437028	−	0.134503i
$552$	−3.57920	−	4.63295i	−0.152341	−	0.197191i
$553$		−	10.6553i		−	0.453109i
$554$	2.18936	+	6.73816i	0.0930170	+	0.286277i
$555$	5.11332	−	17.4726i	0.217048	−	0.741670i
$556$	2.82088	−	3.88261i	0.119632	−	0.164659i
$557$	33.7523			1.43013			0.715065	−	0.699058i	$-0.246397\pi$
$557$	33.7523			1.43013			0.715065	+	0.699058i	$0.246397\pi$
$558$	16.6982	−	0.412173i	0.706891	−	0.0174487i
$559$	1.03727			0.0438720
$560$	−0.809961	+	1.11482i	−0.0342271	+	0.0471096i
$561$	−1.19066	+	4.06859i	−0.0502699	+	0.171776i
$562$	8.05102	+	24.7785i	0.339612	+	1.04522i
$563$			30.5756i			1.28861i	0.764770	+	0.644304i	$0.222853\pi$
$563$			30.5756i			1.28861i	−0.764770	+	0.644304i	$0.777147\pi$
$564$	−2.58946	−	3.35182i	−0.109036	−	0.141137i
$565$	1.21446	+	3.73772i	0.0510927	+	0.157247i
$566$	−3.84360	−	1.24886i	−0.161559	−	0.0524936i
$567$	9.10670	−	8.41873i	0.382445	−	0.353554i
$568$	−2.07442	−	1.50715i	−0.0870407	−	0.0632387i
$569$	−10.2899	−	31.6692i	−0.431377	−	1.32764i	−0.896754	−	0.442529i	$-0.854081\pi$
$569$	−10.2899	−	31.6692i	−0.431377	−	1.32764i	0.465378	−	0.885112i	$-0.345919\pi$
$570$	3.44217	−	0.101440i	0.144177	−	0.00424884i
$571$	−5.50932	−	7.58293i	−0.230558	−	0.317336i	0.678026	−	0.735038i	$-0.262836\pi$
$571$	−5.50932	−	7.58293i	−0.230558	−	0.317336i	−0.908584	+	0.417702i	$0.862836\pi$
$572$	5.21412	+	1.69417i	0.218013	+	0.0708368i
$573$	−29.6336	−	8.67222i	−1.23796	−	0.362287i
$574$	−5.71388	+	4.15138i	−0.238493	+	0.173275i
$575$	1.04450	−	3.21465i	0.0435588	−	0.134060i
$576$	−1.09346	−	2.79363i	−0.0455608	−	0.116401i
$577$	20.4088	+	14.8278i	0.849628	+	0.617291i	0.925044	−	0.379861i	$-0.124028\pi$
$577$	20.4088	+	14.8278i	0.849628	+	0.617291i	−0.0754152	+	0.997152i	$0.524028\pi$
$578$	15.5652	−	5.05743i	0.647425	−	0.210361i
$579$	23.5055	−	0.692698i	0.976855	−	0.0287875i
$580$	−1.58799	−	0.515970i	−0.0659377	−	0.0214245i
$581$	−1.57904	+	4.85978i	−0.0655095	+	0.201618i
$582$	−9.98072	+	14.6246i	−0.413714	+	0.606210i
$583$	29.0095			1.20145
$584$	−8.69181			−0.359670
$585$	−5.34072	+	0.315052i	−0.220812	+	0.0130258i
$586$	2.47656	−	1.79933i	0.102306	−	0.0743295i
$587$	−27.1813	−	19.7484i	−1.12189	−	0.815102i	−0.137397	−	0.990516i	$-0.543874\pi$
$587$	−27.1813	−	19.7484i	−1.12189	−	0.815102i	−0.984495	+	0.175414i	$0.943874\pi$
$588$	−6.99195	+	5.40165i	−0.288343	+	0.222760i
$589$	−6.19626	−	9.17321i	−0.255312	−	0.377975i
$590$			5.97091i			0.245819i
$591$	−32.0730	+	0.945179i	−1.31931	+	0.0388795i
$592$	6.17816	+	8.50350i	0.253921	+	0.349492i
$593$	3.77070	−	1.22518i	0.154844	−	0.0503120i	−0.230569	−	0.973056i	$-0.574059\pi$
$593$	3.77070	−	1.22518i	0.154844	−	0.0503120i	0.385414	+	0.922744i	$0.374059\pi$
$594$	14.6975	−	6.25810i	0.603045	−	0.256773i
$595$		−	1.09706i		−	0.0449751i
$596$	7.86556	−	2.55568i	0.322186	−	0.104685i
$597$	7.93379	−	2.83883i	0.324708	−	0.116186i
$598$	1.86270	−	5.73280i	0.0761714	−	0.234431i
$599$	0.529129	−	0.728283i	0.0216196	−	0.0297568i	−0.798070	−	0.602564i	$-0.794146\pi$
$599$	0.529129	−	0.728283i	0.0216196	−	0.0297568i	0.819690	+	0.572807i	$0.194146\pi$
$600$	0.976355	−	1.43064i	0.0398595	−	0.0584056i
$601$	−23.1776	+	31.9013i	−0.945436	+	1.30128i	0.00808915	+	0.999967i	$0.497425\pi$
$601$	−23.1776	+	31.9013i	−0.945436	+	1.30128i	−0.953525	+	0.301314i	$0.902575\pi$
$602$	0.648431	−	0.471113i	0.0264281	−	0.0192011i
$603$	21.4253	+	13.7147i	0.872504	+	0.558505i
$604$	−2.80804	−	3.86493i	−0.114257	−	0.157262i
$605$	0.910413	+	1.25308i	0.0370135	+	0.0509448i
$606$	−5.31271	−	14.8476i	−0.215814	−	0.603144i
$607$	−38.6135	+	28.0543i	−1.56727	+	1.13869i	−0.637560	+	0.770400i	$0.720056\pi$
$607$	−38.6135	+	28.0543i	−1.56727	+	1.13869i	−0.929711	+	0.368289i	$0.879944\pi$
$608$	−1.16864	+	1.60849i	−0.0473944	+	0.0652329i
$609$	3.29168	+	2.24644i	0.133386	+	0.0910304i
$610$	5.79764	−	7.97976i	0.234739	−	0.323091i
$611$	1.34761	−	4.14753i	0.0545186	−	0.167791i
$612$	2.01157	+	1.28764i	0.0813129	+	0.0520498i
$613$	−39.4610	+	12.8216i	−1.59381	+	0.517861i	−0.965567	−	0.260154i	$-0.916227\pi$
$613$	−39.4610	+	12.8216i	−1.59381	+	0.517861i	−0.628246	+	0.778015i	$0.716227\pi$
$614$			21.6836i			0.875077i
$615$	7.02519	−	5.42733i	0.283283	−	0.218851i
$616$	4.02896	−	1.30909i	0.162332	−	0.0527447i
$617$	−9.33979	−	12.8551i	−0.376006	−	0.517527i	0.578515	−	0.815672i	$-0.303632\pi$
$617$	−9.33979	−	12.8551i	−0.376006	−	0.517527i	−0.954521	+	0.298144i	$0.903632\pi$
$618$	0.158608	+	5.38207i	0.00638013	+	0.216498i
$619$		−	3.35933i		−	0.135023i	−0.997719	−	0.0675114i	$-0.978494\pi$
$619$		−	3.35933i		−	0.135023i	0.997719	−	0.0675114i	$-0.0215059\pi$
$620$	−5.56450	−	0.190623i	−0.223476	−	0.00765559i
$621$	−6.88063	−	16.1595i	−0.276110	−	0.648460i
$622$	22.0890	+	16.0486i	0.885688	+	0.643490i
$623$	5.57478	−	4.05032i	0.223349	−	0.162273i
$624$	1.74117	−	2.55131i	0.0697025	−	0.102134i
$625$	1.00000			0.0400000
$626$	31.3819			1.25427
$627$	−8.74445	−	5.96774i	−0.349220	−	0.238329i
$628$	−6.35079	+	19.5457i	−0.253424	+	0.779960i
$629$	−7.95851	−	2.58588i	−0.317327	−	0.103106i
$630$	−3.19555	+	2.62262i	−0.127314	+	0.104487i
$631$	10.1237	−	3.28938i	0.403017	−	0.130948i	−0.100493	−	0.994938i	$-0.532042\pi$
$631$	10.1237	−	3.28938i	0.403017	−	0.130948i	0.503509	+	0.863990i	$0.332042\pi$
$632$	−6.25572	−	4.54505i	−0.248839	−	0.180792i
$633$	1.06106	−	3.62573i	0.0421734	−	0.144110i
$634$	1.71979	−	5.29298i	0.0683017	−	0.210211i
$635$	3.05230	−	2.21763i	0.121127	−	0.0880038i
$636$	4.59051	−	15.6861i	0.182025	−	0.621995i
$637$	−8.65181	−	2.81114i	−0.342797	−	0.111382i
$638$	3.01718	+	4.15280i	0.119451	+	0.164411i
$639$	−4.88009	−	5.94619i	−0.193053	−	0.235228i
$640$	0.309017	+	0.951057i	0.0122150	+	0.0375938i
$641$	22.8726	+	16.6179i	0.903415	+	0.656369i	0.939341	−	0.342985i	$-0.111438\pi$
$641$	22.8726	+	16.6179i	0.903415	+	0.656369i	−0.0359262	+	0.999354i	$0.511438\pi$
$642$	−7.82330	−	21.8641i	−0.308761	−	0.862905i
$643$	−32.6612	−	10.6123i	−1.28803	−	0.418507i	−0.416631	−	0.909076i	$-0.636789\pi$
$643$	−32.6612	−	10.6123i	−1.28803	−	0.418507i	−0.871403	+	0.490568i	$0.836789\pi$
$644$	−1.43931	−	4.42975i	−0.0567169	−	0.174557i
$645$	−0.797243	+	0.615913i	−0.0313914	+	0.0242515i
$646$		−	1.58287i		−	0.0622773i
$647$	9.26124	+	28.5032i	0.364097	+	1.12058i	0.950545	+	0.310588i	$0.100526\pi$
$647$	9.26124	+	28.5032i	0.364097	+	1.12058i	−0.586448	+	0.809987i	$0.699474\pi$
$648$	−1.05815	−	8.93758i	−0.0415679	−	0.351101i
$649$	10.7895	−	14.8505i	0.423525	−	0.582932i
$650$	1.78333			0.0699482
$651$	12.6187	+	4.16687i	0.494564	+	0.163313i
$652$	3.36856			0.131923
$653$	5.28772	−	7.27792i	0.206924	−	0.284807i	−0.692923	−	0.721011i	$-0.743678\pi$
$653$	5.28772	−	7.27792i	0.206924	−	0.284807i	0.899848	+	0.436204i	$0.143678\pi$
$654$	−19.6339	−	5.74582i	−0.767747	−	0.224679i
$655$	4.30784	+	13.2582i	0.168321	+	0.518039i
$656$			5.12540i			0.200113i
$657$	−25.2307	−	6.58339i	−0.984343	−	0.256843i
$658$	−1.04131	−	3.20481i	−0.0405943	−	0.124936i
$659$	21.2396	+	6.90118i	0.827379	+	0.268832i	0.691941	−	0.721954i	$-0.256756\pi$
$659$	21.2396	+	6.90118i	0.827379	+	0.268832i	0.135438	+	0.990786i	$0.456756\pi$
$660$	−5.01350	+	1.79391i	−0.195150	+	0.0698278i
$661$	−23.3908	−	16.9944i	−0.909797	−	0.661007i	0.0311662	−	0.999514i	$-0.490078\pi$
$661$	−23.3908	−	16.9944i	−0.909797	−	0.661007i	−0.940964	+	0.338508i	$0.890078\pi$
$662$	−7.64586	−	23.5315i	−0.297165	−	0.914579i
$663$	0.0724377	+	2.45805i	0.00281325	+	0.0954626i
$664$	2.17963	+	3.00001i	0.0845862	+	0.116423i
$665$	2.60563	+	0.846620i	0.101042	+	0.0328305i
$666$	11.4933	+	29.3635i	0.445355	+	1.13781i
$667$	4.56590	−	3.31732i	0.176792	−	0.128447i
$668$	−5.19991	+	16.0037i	−0.201190	+	0.619200i
$669$	−0.768373	−	0.224863i	−0.0297070	−	0.00869369i
$670$	−6.86015	−	4.98419i	−0.265031	−	0.192556i
$671$	−28.8390	+	9.37036i	−1.11332	+	0.361739i
$672$	−0.0703060	−	2.38571i	−0.00271211	−	0.0920308i
$673$	16.1258	+	5.23958i	0.621602	+	0.201971i	0.602852	−	0.797853i	$-0.294031\pi$
$673$	16.1258	+	5.23958i	0.621602	+	0.201971i	0.0187507	+	0.999824i	$0.494031\pi$
$674$	5.63739	−	17.3501i	0.217144	−	0.668301i
$675$	3.91778	−	3.41336i	0.150795	−	0.131380i
$676$	−9.81972			−0.377681
$677$	−42.7674			−1.64368			−0.821842	−	0.569715i	$-0.807054\pi$
$677$	−42.7674			−1.64368			−0.821842	+	0.569715i	$0.807054\pi$
$678$	−5.62252	−	3.83715i	−0.215932	−	0.147365i
$679$	−11.3961	+	8.27977i	−0.437343	+	0.317748i
$680$	−0.644084	−	0.467955i	−0.0246995	−	0.0179452i
$681$	−13.7741	−	17.8294i	−0.527826	−	0.683222i
$682$	13.4952	+	10.5292i	0.516758	+	0.403184i
$683$		−	29.8904i		−	1.14372i	−0.820350	−	0.571862i	$-0.806221\pi$
$683$		−	29.8904i		−	1.14372i	0.820350	−	0.571862i	$-0.193779\pi$
$684$	−4.61064	+	3.78399i	−0.176292	+	0.144684i
$685$	6.75307	+	9.29480i	0.258021	+	0.355136i
$686$	−15.8591	+	5.15293i	−0.605503	+	0.196740i
$687$	23.5186	+	30.4427i	0.897291	+	1.16146i
$688$		−	0.581649i		−	0.0221751i
$689$	16.0043	−	5.20012i	0.609716	−	0.198109i
$690$	1.97236	+	5.51223i	0.0750865	+	0.209847i
$691$	−0.790515	+	2.43295i	−0.0300726	+	0.0925539i	−0.964966	−	0.262374i	$-0.915495\pi$
$691$	−0.790515	+	2.43295i	−0.0300726	+	0.0925539i	0.934894	+	0.354928i	$0.115495\pi$
$692$	5.39900	−	7.43109i	0.205239	−	0.282488i
$693$	12.6869	−	0.748404i	0.481934	−	0.0284295i
$694$	−6.46721	+	8.90135i	−0.245492	+	0.337891i
$695$	−3.88261	+	2.82088i	−0.147276	+	0.107002i
$696$	2.72296	−	0.974318i	0.103214	−	0.0369314i
$697$	−2.39846	−	3.30119i	−0.0908480	−	0.125042i
$698$	10.0557	+	13.8405i	0.380615	+	0.523872i
$699$	−17.6639	+	6.32041i	−0.668110	+	0.239060i
$700$	1.11482	−	0.809961i	0.0421361	−	0.0306137i
$701$	23.7547	−	32.6955i	0.897202	−	1.23489i	−0.0741501	−	0.997247i	$-0.523624\pi$
$701$	23.7547	−	32.6955i	0.897202	−	1.23489i	0.971352	−	0.237645i	$-0.0763756\pi$
$702$	6.98671	−	6.08717i	0.263696	−	0.229745i
$703$	12.2834	−	16.9067i	0.463278	−	0.637648i
$704$	0.950001	−	2.92380i	0.0358045	−	0.110195i
$705$	1.42695	+	3.98795i	0.0537421	+	0.150195i
$706$	−29.8749	+	9.70694i	−1.12436	+	0.365326i
$707$		−	12.5459i		−	0.471838i
$708$	−6.32265	−	8.18410i	−0.237620	−	0.307577i
$709$	43.7910	−	14.2285i	1.64460	−	0.534364i	0.667043	−	0.745019i	$-0.267560\pi$
$709$	43.7910	−	14.2285i	1.64460	−	0.534364i	0.977561	+	0.210655i	$0.0675596\pi$
$710$	1.50715	+	2.07442i	0.0565624	+	0.0778515i
$711$	−14.7166	−	17.9316i	−0.551917	−	0.672489i
$712$		−	5.00063i		−	0.187407i
$713$	11.5766	−	14.8376i	0.433547	−	0.555674i
$714$	1.16169	+	1.50370i	0.0434751	+	0.0562745i
$715$	−4.43539	−	3.22250i	−0.165874	−	0.120515i
$716$	5.28523	−	3.83994i	0.197518	−	0.143505i
$717$	36.5507	+	24.9444i	1.36501	+	0.931567i
$718$	−1.23297			−0.0460142
$719$	26.1457			0.975069			0.487534	−	0.873104i	$-0.337896\pi$
$719$	26.1457			0.975069			0.487534	+	0.873104i	$0.337896\pi$
$720$	0.176664	+	2.99479i	0.00658389	+	0.111609i
$721$	−1.32375	+	4.07407i	−0.0492989	+	0.151726i
$722$	−14.3106	−	4.64979i	−0.532585	−	0.173047i
$723$	−0.382823	−	12.9904i	−0.0142373	−	0.483118i
$724$	−11.3657	+	3.69295i	−0.422404	+	0.137247i
$725$	1.35083	+	0.981432i	0.0501684	+	0.0364495i
$726$	−2.57476	−	0.753498i	−0.0955583	−	0.0279649i
$727$	−14.8650	+	45.7497i	−0.551311	+	1.69676i	0.154180	+	0.988043i	$0.450726\pi$
$727$	−14.8650	+	45.7497i	−0.551311	+	1.69676i	−0.705492	+	0.708718i	$0.749274\pi$
$728$	1.98809	−	1.44443i	0.0736835	−	0.0535342i
$729$	3.69794	−	26.7456i	0.136961	−	0.990576i
$730$	8.26641	+	2.68592i	0.305953	+	0.0994103i
$731$	0.272185	+	0.374631i	0.0100671	+	0.0138562i
$732$	0.503245	+	17.0767i	0.0186005	+	0.631174i
$733$	−7.25432	−	22.3265i	−0.267944	−	0.824648i	−0.991000	−	0.133859i	$-0.957263\pi$
$733$	−7.25432	−	22.3265i	−0.267944	−	0.824648i	0.723056	−	0.690789i	$-0.242737\pi$
$734$	−1.01021	−	0.733959i	−0.0372874	−	0.0270909i
$735$	8.31894	−	2.97664i	0.306849	−	0.109795i
$736$	−3.21465	−	1.04450i	−0.118494	−	0.0385009i
$737$	8.05563	+	24.7927i	0.296733	+	0.913251i
$738$	−3.88211	+	14.8781i	−0.142902	+	0.547669i
$739$		−	15.5874i		−	0.573390i	−0.958022	−	0.286695i	$-0.907443\pi$
$739$		−	15.5874i		−	0.573390i	0.958022	−	0.286695i	$-0.0925567\pi$
$740$	−3.24805	−	9.99647i	−0.119401	−	0.367478i
$741$	−5.89401	−	1.72487i	−0.216522	−	0.0633646i
$742$	7.64298	−	10.5197i	0.280582	−	0.386189i
$743$	23.7509			0.871336			0.435668	−	0.900107i	$-0.356512\pi$
$743$	23.7509			0.871336			0.435668	+	0.900107i	$0.356512\pi$
$744$	7.82890	−	5.63102i	0.287021	−	0.206443i
$745$	−8.27034			−0.303002
$746$	10.9214	−	15.0321i	0.399862	−	0.550363i
$747$	4.05478	+	10.3594i	0.148357	+	0.379029i
$748$	0.756326	+	2.32773i	0.0276540	+	0.0851103i
$749$		−	18.4747i		−	0.675049i
$750$	−1.37066	+	1.05891i	−0.0500495	+	0.0386659i
$751$	6.60119	+	20.3164i	0.240881	+	0.741355i	0.996287	+	0.0860976i	$0.0274397\pi$
$751$	6.60119	+	20.3164i	0.240881	+	0.741355i	−0.755406	+	0.655257i	$0.772560\pi$
$752$	−2.32572	−	0.755671i	−0.0848101	−	0.0275565i
$753$	−6.97096	−	19.4820i	−0.254036	−	0.709963i
$754$	2.40897	+	1.75022i	0.0877297	+	0.0637394i
$755$	1.47627	+	4.54350i	0.0537270	+	0.165355i
$756$	1.60291	−	6.97852i	0.0582973	−	0.253806i
$757$	3.42630	+	4.71590i	0.124531	+	0.171402i	0.866730	−	0.498777i	$-0.166217\pi$
$757$	3.42630	+	4.71590i	0.124531	+	0.171402i	−0.742199	+	0.670179i	$0.766217\pi$
$758$	36.5806	+	11.8858i	1.32867	+	0.431710i
$759$	5.05512	−	17.2737i	0.183489	−	0.626996i
$760$	1.60849	−	1.16864i	0.0583460	−	0.0423909i
$761$	−2.94919	+	9.07668i	−0.106908	+	0.329029i	−0.990174	−	0.139844i	$-0.955340\pi$
$761$	−2.94919	+	9.07668i	−0.106908	+	0.329029i	0.883265	+	0.468873i	$0.155340\pi$
$762$	−1.83541	+	6.27172i	−0.0664897	+	0.227200i
$763$	−13.1672	−	9.56652i	−0.476684	−	0.346331i
$764$	−16.9541	+	5.50871i	−0.613377	+	0.199298i
$765$	−1.51521	−	1.84623i	−0.0547827	−	0.0667506i
$766$	−6.34647	−	2.06209i	−0.229307	−	0.0745065i
$767$	3.29046	−	10.1270i	0.118812	−	0.365664i
$768$	−1.43064	−	0.976355i	−0.0516238	−	0.0352312i
$769$	43.4262			1.56599			0.782995	−	0.622028i	$-0.213691\pi$
$769$	43.4262			1.56599			0.782995	+	0.622028i	$0.213691\pi$
$770$	−4.23630			−0.152666
$771$	10.7416	−	15.7396i	0.386851	−	0.566847i
$772$	10.9839	−	7.98024i	0.395318	−	0.287215i
$773$	33.6253	+	24.4302i	1.20942	+	0.878694i	0.995178	−	0.0980864i	$-0.0312721\pi$
$773$	33.6253	+	24.4302i	1.20942	+	0.878694i	0.214241	+	0.976781i	$0.431272\pi$
$774$	0.440555	−	1.68842i	0.0158354	−	0.0606888i
$775$	5.23325	+	1.90082i	0.187984	+	0.0682794i
$776$			10.2224i			0.366964i
$777$	0.738980	+	25.0760i	0.0265108	+	0.899596i
$778$	4.65109	+	6.40168i	0.166750	+	0.229511i
$779$	9.69159	−	3.14899i	0.347237	−	0.112824i
$780$	−2.44435	+	1.88839i	−0.0875217	+	0.0676152i
$781$		−	7.88279i		−	0.282069i
$782$	2.55929	−	0.831562i	0.0915199	−	0.0297366i
$783$	8.64222	−	0.765823i	0.308848	−	0.0273683i
$784$	−1.57634	+	4.85148i	−0.0562979	+	0.173267i
$785$	12.0799	−	16.6266i	0.431151	−	0.593428i
$786$	−19.9438	−	13.6108i	−0.711371	−	0.485483i
$787$	16.8632	−	23.2102i	0.601107	−	0.827353i	−0.394702	−	0.918809i	$-0.629152\pi$
$787$	16.8632	−	23.2102i	0.601107	−	0.827353i	0.995809	+	0.0914561i	$0.0291521\pi$
$788$	−14.9874	+	10.8889i	−0.533902	+	0.387903i
$789$	15.2674	+	42.6685i	0.543535	+	1.51904i
$790$	4.54505	+	6.25572i	0.161705	+	0.222568i
$791$	−3.18321	−	4.38131i	−0.113182	−	0.155782i
$792$	4.97223	−	7.76769i	0.176680	−	0.276013i
$793$	−14.2306	+	10.3391i	−0.505343	+	0.367153i
$794$	8.87181	−	12.2110i	0.314849	−	0.433352i
$795$	−9.21311	+	13.4998i	−0.326755	+	0.478790i
$796$	2.85956	−	3.93585i	0.101354	−	0.139502i
$797$	7.94949	−	24.4660i	0.281585	−	0.866630i	−0.705816	−	0.708395i	$-0.749420\pi$
$797$	7.94949	−	24.4660i	0.281585	−	0.866630i	0.987401	−	0.158235i	$-0.0505805\pi$
$798$	−4.46793	+	1.59869i	−0.158163	+	0.0565931i
$799$	1.85158	−	0.601614i	0.0655041	−	0.0212836i
$800$		−	1.00000i		−	0.0353553i
$801$	3.78760	−	14.5159i	0.133828	−	0.512894i
$802$	15.4957	−	5.03485i	0.547171	−	0.177787i
$803$	−15.7062	−	21.6177i	−0.554259	−	0.762872i
$804$	14.6807	−	0.432636i	0.517750	−	0.0152579i
$805$			4.65771i			0.164163i
$806$	9.33264	+	3.38980i	0.328728	+	0.119400i
$807$	−13.7153	+	10.5958i	−0.482800	+	0.372989i
$808$	−7.36572	−	5.35151i	−0.259125	−	0.188265i
$809$	31.0113	−	22.5310i	1.09030	−	0.792149i	0.110850	−	0.993837i	$-0.464643\pi$
$809$	31.0113	−	22.5310i	1.09030	−	0.792149i	0.979450	+	0.201688i	$0.0646426\pi$
$810$	−1.75551	+	8.82713i	−0.0616822	+	0.310154i
$811$	23.0512			0.809436			0.404718	−	0.914441i	$-0.367370\pi$
$811$	23.0512			0.809436			0.404718	+	0.914441i	$0.367370\pi$
$812$	2.30084			0.0807438
$813$	8.33448	−	12.2124i	0.292303	−	0.428308i
$814$	−9.98537	+	30.7318i	−0.349987	+	1.07715i
$815$	−3.20369	−	1.04094i	−0.112220	−	0.0364626i
$816$	1.37834	−	0.0406193i	0.0482517	−	0.00142196i
$817$	−1.09984	+	0.357358i	−0.0384784	+	0.0125024i
$818$	−7.00043	−	5.08611i	−0.244764	−	0.177832i
$819$	6.86510	−	2.68708i	0.239886	−	0.0938943i
$820$	1.58384	−	4.87455i	0.0553100	−	0.170227i
$821$	−8.67769	+	6.30471i	−0.302853	+	0.220036i	−0.728824	−	0.684701i	$-0.759933\pi$
$821$	−8.67769	+	6.30471i	−0.302853	+	0.220036i	0.425971	+	0.904737i	$0.359933\pi$
$822$	−19.0985	−	5.58914i	−0.666137	−	0.194944i
$823$	−2.72175	−	0.884351i	−0.0948743	−	0.0308265i	0.261195	−	0.965286i	$-0.415883\pi$
$823$	−2.72175	−	0.884351i	−0.0948743	−	0.0308265i	−0.356070	+	0.934459i	$0.615883\pi$
$824$	1.82724	+	2.51498i	0.0636549	+	0.0876135i
$825$	5.32247	−	0.156851i	0.185305	−	0.00546086i
$826$	−2.54255	−	7.82515i	−0.0884665	−	0.272272i
$827$	−16.8696	−	12.2565i	−0.586612	−	0.426199i	0.254489	−	0.967076i	$-0.418093\pi$
$827$	−16.8696	−	12.2565i	−0.586612	−	0.426199i	−0.841102	+	0.540877i	$0.818093\pi$
$828$	−8.54039	−	5.46685i	−0.296799	−	0.189986i
$829$	20.6849	+	6.72092i	0.718415	+	0.233427i	0.645336	−	0.763899i	$-0.276717\pi$
$829$	20.6849	+	6.72092i	0.718415	+	0.233427i	0.0730792	+	0.997326i	$0.476717\pi$
$830$	−1.14590	−	3.52672i	−0.0397748	−	0.122414i
$831$	7.50228	+	9.71102i	0.260251	+	0.336872i
$832$		−	1.78333i		−	0.0618260i
$833$	−1.25498	−	3.86242i	−0.0434823	−	0.133825i
$834$	2.33469	−	7.97780i	0.0808436	−	0.276249i
$835$	9.89081	−	13.6135i	0.342286	−	0.471116i
$836$	−6.11226			−0.211397
$837$	26.9909	−	10.4160i	0.932941	−	0.360029i
$838$	−26.3917			−0.911687
$839$	13.2000	−	18.1683i	0.455716	−	0.627239i	−0.517898	−	0.855443i	$-0.673285\pi$
$839$	13.2000	−	18.1683i	0.455716	−	0.627239i	0.973613	+	0.228204i	$0.0732852\pi$
$840$	−0.670360	+	2.29067i	−0.0231296	+	0.0790357i
$841$	−8.09997	−	24.9292i	−0.279309	−	0.859626i
$842$			15.7504i			0.542795i
$843$	27.5884	+	35.7107i	0.950196	+	1.22994i
$844$	−0.674001	−	2.07436i	−0.0232001	−	0.0714025i
$845$	9.33911	+	3.03446i	0.321275	+	0.104389i
$846$	−6.17875	−	3.95512i	−0.212430	−	0.135980i
$847$	−1.72672	−	1.25454i	−0.0593309	−	0.0431064i
$848$	−2.91595	−	8.97438i	−0.100134	−	0.308182i
$849$	−6.99688	+	0.206195i	−0.240132	+	0.00707661i
$850$	0.467955	+	0.644084i	0.0160507	+	0.0220919i
$851$	33.7889	+	10.9787i	1.15827	+	0.376344i
$852$	−4.26242	−	1.24739i	−0.146028	−	0.0427348i
$853$	−23.3990	+	17.0004i	−0.801167	+	0.582082i	−0.911256	−	0.411840i	$-0.864886\pi$
$853$	−23.3990	+	17.0004i	−0.801167	+	0.582082i	0.110089	+	0.993922i	$0.464886\pi$
$854$	−4.20011	+	12.9266i	−0.143725	+	0.442339i
$855$	5.55429	−	2.17402i	0.189953	−	0.0743499i
$856$	−10.8465	−	7.88042i	−0.370725	−	0.269347i
$857$	−12.2065	+	3.96614i	−0.416967	+	0.135481i	−0.509984	−	0.860184i	$-0.670349\pi$
$857$	−12.2065	+	3.96614i	−0.416967	+	0.135481i	0.0930174	+	0.995664i	$0.470349\pi$
$858$	9.49176	−	0.279719i	0.324043	−	0.00954943i
$859$	−40.4062	−	13.1288i	−1.37864	−	0.447948i	−0.476420	−	0.879218i	$-0.658066\pi$
$859$	−40.4062	−	13.1288i	−1.37864	−	0.447948i	−0.902223	+	0.431270i	$0.858066\pi$
$860$	−0.179739	+	0.553181i	−0.00612906	+	0.0188633i
$861$	−6.89575	+	10.1042i	−0.235007	+	0.344352i
$862$	−10.2035			−0.347533
$863$	−6.96289			−0.237020			−0.118510	−	0.992953i	$-0.537812\pi$
$863$	−6.96289			−0.237020			−0.118510	+	0.992953i	$0.537812\pi$
$864$	−3.41336	−	3.91778i	−0.116125	−	0.133285i
$865$	−7.43109	+	5.39900i	−0.252665	+	0.183572i
$866$	−11.8247	−	8.59112i	−0.401818	−	0.291938i
$867$	22.4325	−	17.3303i	0.761847	−	0.588567i
$868$	7.37370	−	2.11967i	0.250280	−	0.0719462i
$869$		−	23.7717i		−	0.806401i
$870$	−2.89077	+	0.0851900i	−0.0980063	+	0.00288821i
$871$	8.88848	+	12.2339i	0.301175	+	0.414531i
$872$	−11.2330	+	3.64982i	−0.380397	+	0.123599i
$873$	−7.74272	+	29.6738i	−0.262051	+	1.00430i
$874$			6.72029i			0.227317i
$875$	−1.31054	+	0.425822i	−0.0443045	+	0.0143954i
$876$	−14.1746	+	5.07189i	−0.478915	+	0.171363i
$877$	−6.41386	+	19.7398i	−0.216581	+	0.666567i	0.782457	+	0.622705i	$0.213966\pi$
$877$	−6.41386	+	19.7398i	−0.216581	+	0.666567i	−0.999038	+	0.0438621i	$0.986034\pi$
$878$	−4.43978	+	6.11083i	−0.149835	+	0.206230i
$879$	2.98882	−	4.37947i	0.100810	−	0.147716i
$880$	−1.80701	+	2.48713i	−0.0609142	+	0.0838413i
$881$	46.1009	−	33.4943i	1.55318	−	1.12845i	0.611844	−	0.790978i	$-0.290428\pi$
$881$	46.1009	−	33.4943i	1.55318	−	1.12845i	0.941335	−	0.337473i	$-0.109572\pi$
$882$	−8.25045	+	12.8890i	−0.277807	+	0.433994i
$883$	−3.01648	−	4.15182i	−0.101512	−	0.139720i	0.755239	−	0.655450i	$-0.227521\pi$
$883$	−3.01648	−	4.15182i	−0.101512	−	0.139720i	−0.856751	+	0.515730i	$0.827521\pi$
$884$	0.834520	+	1.14862i	0.0280679	+	0.0386322i
$885$	3.48418	+	9.73735i	0.117119	+	0.327317i
$886$	−4.35231	+	3.16214i	−0.146219	+	0.106234i
$887$	−27.6522	+	38.0600i	−0.928470	+	1.27793i	0.0319827	+	0.999488i	$0.489818\pi$
$887$	−27.6522	+	38.0600i	−0.928470	+	1.27793i	−0.960453	+	0.278442i	$0.910182\pi$
$888$	15.0373	+	10.2624i	0.504620	+	0.344383i
$889$	−3.05586	+	4.20603i	−0.102490	+	0.141066i
$890$	−1.54528	+	4.75588i	−0.0517979	+	0.159418i
$891$	20.3169	−	18.7820i	0.680641	−	0.629222i
$892$	−0.439604	+	0.142836i	−0.0147190	+	0.00478250i
$893$			4.86195i			0.162699i
$894$	11.3358	−	8.75753i	0.379127	−	0.292896i
$895$	−6.21316	+	2.01878i	−0.207683	+	0.0674803i
$896$	−0.809961	−	1.11482i	−0.0270589	−	0.0372434i
$897$	−0.307544	−	10.4360i	−0.0102686	−	0.348447i
$898$			14.1930i			0.473625i
$899$	5.20368	+	7.70375i	0.173553	+	0.256935i
$900$	0.757424	−	2.90281i	0.0252475	−	0.0967603i
$901$	6.07773	+	4.41573i	0.202478	+	0.147109i
$902$	−12.7476	+	9.26165i	−0.424447	+	0.308379i
$903$	0.782554	−	1.14666i	0.0260418	−	0.0381586i
$904$	−3.93008			−0.130712
$905$	11.9506			0.397253
$906$	−6.83462	−	4.66436i	−0.227065	−	0.154963i
$907$	−14.4252	+	44.3962i	−0.478981	+	1.47415i	0.361531	+	0.932360i	$0.382254\pi$
$907$	−14.4252	+	44.3962i	−0.478981	+	1.47415i	−0.840512	+	0.541792i	$0.817746\pi$
$908$	−12.3712	−	4.01965i	−0.410553	−	0.133397i
$909$	−17.3279	−	21.1134i	−0.574731	−	0.700287i
$910$	−2.33714	+	0.759383i	−0.0774755	+	0.0251733i
$911$	−2.17792	−	1.58235i	−0.0721578	−	0.0524257i	0.551122	−	0.834425i	$-0.314200\pi$
$911$	−2.17792	−	1.58235i	−0.0721578	−	0.0524257i	−0.623279	+	0.781999i	$0.714200\pi$
$912$	−0.967215	+	3.30505i	−0.0320277	+	0.109441i
$913$	−3.52280	+	10.8421i	−0.116588	+	0.358820i
$914$	−0.914661	+	0.664540i	−0.0302543	+	0.0219810i
$915$	4.79838	−	16.3964i	0.158630	−	0.542049i
$916$	21.1232	+	6.86334i	0.697929	+	0.226771i
$917$	−11.2912	−	15.5411i	−0.372869	−	0.513211i
$918$	4.03183	+	0.926081i	0.133070	+	0.0305652i
$919$	0.511688	+	1.57481i	0.0168790	+	0.0519483i	0.959141	−	0.282928i	$-0.0913056\pi$
$919$	0.511688	+	1.57481i	0.0168790	+	0.0519483i	−0.942262	+	0.334876i	$0.891306\pi$
$920$	2.73454	+	1.98676i	0.0901552	+	0.0655016i
$921$	12.6529	+	35.3615i	0.416927	+	1.16520i
$922$	−3.63594	−	1.18139i	−0.119743	−	0.0389069i
$923$	−1.41304	−	4.34888i	−0.0465107	−	0.143145i
$924$	5.80654	−	4.48586i	0.191021	−	0.147574i
$925$			10.5109i			0.345597i
$926$	0.863958	+	2.65899i	0.0283914	+	0.0873798i
$927$	3.39922	+	8.68451i	0.111645	+	0.285237i
$928$	0.981432	−	1.35083i	0.0322171	−	0.0443430i
$929$	15.9104			0.522004			0.261002	−	0.965338i	$-0.415947\pi$
$929$	15.9104			0.522004			0.261002	+	0.965338i	$0.415947\pi$
$930$	−9.18580	+	2.93616i	−0.301214	+	0.0962803i
$931$	10.1421			0.332394
$932$	−6.36656	+	8.76282i	−0.208544	+	0.287036i
$933$	45.3874	+	13.2825i	1.48592	+	0.434850i
$934$	9.48229	+	29.1835i	0.310270	+	0.954913i
$935$		−	2.44752i		−	0.0800425i
$936$	1.35074	−	5.17668i	0.0441504	−	0.169205i
$937$	13.4804	+	41.4885i	0.440387	+	1.35537i	0.887465	+	0.460876i	$0.152465\pi$
$937$	13.4804	+	41.4885i	0.440387	+	1.35537i	−0.447078	+	0.894495i	$0.647535\pi$
$938$	11.1129	+	3.61080i	0.362849	+	0.117897i
$939$	51.1775	−	18.3121i	1.67011	−	0.597593i
$940$	1.97837	+	1.43737i	0.0645274	+	0.0468819i
$941$	−4.66871	−	14.3688i	−0.152196	−	0.468410i	0.845670	−	0.533706i	$-0.179201\pi$
$941$	−4.66871	−	14.3688i	−0.152196	−	0.468410i	−0.997866	+	0.0652958i	$0.979201\pi$
$942$	1.04856	+	35.5810i	0.0341639	+	1.15929i
$943$	10.1830	+	14.0156i	0.331603	+	0.456412i
$944$	−5.67868	−	1.84511i	−0.184825	−	0.0600534i
$945$	−3.68094	+	6.14164i	−0.119741	+	0.199787i
$946$	1.44664	−	1.05104i	0.0470343	−	0.0341724i
$947$	9.04194	−	27.8282i	0.293824	−	0.904296i	−0.689790	−	0.724009i	$-0.742297\pi$
$947$	9.04194	−	27.8282i	0.293824	−	0.904296i	0.983614	−	0.180287i	$-0.0577027\pi$
$948$	−12.8540	−	3.76168i	−0.417477	−	0.122174i
$949$	−12.5401	−	9.11092i	−0.407069	−	0.295753i
$950$	−1.89089	+	0.614388i	−0.0613487	+	0.0199334i
$951$	−0.283949	−	9.63531i	−0.00920768	−	0.312446i
$952$	1.04337	+	0.339010i	0.0338157	+	0.0109874i
$953$	16.3298	−	50.2580i	0.528974	−	1.62802i	−0.227346	−	0.973814i	$-0.573005\pi$
$953$	16.3298	−	50.2580i	0.528974	−	1.62802i	0.756320	−	0.654202i	$-0.226995\pi$
$954$	−1.66704	−	28.2595i	−0.0539726	−	0.914937i
$955$	17.8266			0.576854
$956$	25.5485			0.826298
$957$	7.34368	+	5.01177i	0.237387	+	0.162008i
$958$	27.4499	−	19.9435i	0.886865	−	0.644345i
$959$	−12.8081	−	9.30565i	−0.413596	−	0.300495i
$960$	1.05891	+	1.37066i	0.0341761	+	0.0442379i
$961$	23.7738	+	19.8949i	0.766896	+	0.641771i
$962$			18.7445i			0.604346i
$963$	−25.5164	−	31.0907i	−0.822255	−	1.00189i
$964$	−4.41031	−	6.07027i	−0.142047	−	0.195510i
$965$	−12.9123	+	4.19546i	−0.415661	+	0.135057i
$966$	−4.93209	−	6.38415i	−0.158688	−	0.205407i
$967$		−	24.4953i		−	0.787716i	−0.919171	−	0.393858i	$-0.871140\pi$
$967$		−	24.4953i		−	0.787716i	0.919171	−	0.393858i	$-0.128860\pi$
$968$	−1.47308	+	0.478632i	−0.0473465	+	0.0153838i
$969$	−0.923644	−	2.58134i	−0.0296717	−	0.0829247i
$970$	3.15890	−	9.72211i	0.101426	−	0.312158i
$971$	9.04396	−	12.4479i	0.290234	−	0.399473i	−0.638856	−	0.769326i	$-0.720592\pi$
$971$	9.04396	−	12.4479i	0.290234	−	0.399473i	0.929090	+	0.369853i	$0.120592\pi$
$972$	−6.94092	−	13.9579i	−0.222630	−	0.447701i
$973$	3.88714	−	5.35019i	0.124616	−	0.171519i
$974$	16.1359	−	11.7234i	0.517027	−	0.375642i
$975$	2.90826	−	1.04062i	0.0931388	−	0.0333265i
$976$	5.79764	+	7.97976i	0.185578	+	0.255426i
$977$	−5.04768	−	6.94754i	−0.161490	−	0.222271i	0.720602	−	0.693349i	$-0.243865\pi$
$977$	−5.04768	−	6.94754i	−0.161490	−	0.222271i	−0.882092	+	0.471077i	$0.843865\pi$
$978$	5.49344	−	1.96564i	0.175661	−	0.0628541i
$979$	12.4372	−	9.03618i	0.397496	−	0.288798i
$980$	2.99838	−	4.12692i	0.0957797	−	0.131829i
$981$	−35.3717	+	2.08660i	−1.12933	+	0.0666199i
$982$	−8.80291	+	12.1162i	−0.280912	+	0.386642i
$983$	−17.4361	+	53.6629i	−0.556126	+	1.71158i	0.136824	+	0.990595i	$0.456311\pi$
$983$	−17.4361	+	53.6629i	−0.556126	+	1.71158i	−0.692950	+	0.720986i	$0.743689\pi$
$984$	2.99080	+	8.35849i	0.0953432	+	0.266459i
$985$	17.6187	−	5.72466i	0.561378	−	0.182403i
$986$			1.32931i			0.0423339i
$987$	−3.56824	−	4.61877i	−0.113578	−	0.147017i
$988$	−3.37210	+	1.09566i	−0.107281	+	0.0348576i
$989$	−1.15560	−	1.59054i	−0.0367459	−	0.0505763i
$990$	−7.12922	+	5.85101i	−0.226581	+	0.185957i
$991$			40.1345i			1.27491i	0.770486	+	0.637457i	$0.220014\pi$
$991$			40.1345i			1.27491i	−0.770486	+	0.637457i	$0.779986\pi$
$992$	1.90082	−	5.23325i	0.0603510	−	0.166156i
$993$	−26.2001	−	33.9136i	−0.831434	−	1.07622i
$994$	−2.85852	−	2.07684i	−0.0906669	−	0.0658733i
$995$	−3.93585	+	2.85956i	−0.124775	+	0.0906542i
$996$	5.30512	+	3.62053i	0.168099	+	0.114721i
$997$	−24.4026			−0.772837			−0.386419	−	0.922323i	$-0.626288\pi$
$997$	−24.4026			−0.772837			−0.386419	+	0.922323i	$0.626288\pi$
$998$	−33.8099			−1.07023
$999$	35.8775	+	41.1794i	1.13511	+	1.30286i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.v.a.401.17	yes	80
3.2	odd	2	inner	930.2.v.a.401.1	✓	80
31.15	odd	10	inner	930.2.v.a.821.1	yes	80
93.77	even	10	inner	930.2.v.a.821.17	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.v.a.401.1	✓	80	3.2	odd	2	inner
930.2.v.a.401.17	yes	80	1.1	even	1	trivial
930.2.v.a.821.1	yes	80	31.15	odd	10	inner
930.2.v.a.821.17	yes	80	93.77	even	10	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.v (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.587785 - 0.809017i) q^{2} +(0.486477 - 1.66233i) q^{3} +(-0.309017 - 0.951057i) q^{4} +1.00000i q^{5} +(-1.05891 - 1.37066i) q^{6} +(-0.425822 - 1.31054i) q^{7} +(-0.951057 - 0.309017i) q^{8} +(-2.52668 - 1.61737i) q^{9} +O(q^{10})\)	\(q+(0.587785 - 0.809017i) q^{2} +(0.486477 - 1.66233i) q^{3} +(-0.309017 - 0.951057i) q^{4} +1.00000i q^{5} +(-1.05891 - 1.37066i) q^{6} +(-0.425822 - 1.31054i) q^{7} +(-0.951057 - 0.309017i) q^{8} +(-2.52668 - 1.61737i) q^{9} +(0.809017 + 0.587785i) q^{10} +(-0.950001 - 2.92380i) q^{11} +(-1.73130 + 0.0510207i) q^{12} +(-1.04822 - 1.44275i) q^{13} +(-1.31054 - 0.425822i) q^{14} +(1.66233 + 0.486477i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.246018 - 0.757167i) q^{17} +(-2.79363 + 1.09346i) q^{18} +(1.60849 + 1.16864i) q^{19} +(0.951057 - 0.309017i) q^{20} +(-2.38571 + 0.0703060i) q^{21} +(-2.92380 - 0.950001i) q^{22} +(-1.04450 + 3.21465i) q^{23} +(-0.976355 + 1.43064i) q^{24} -1.00000 q^{25} -1.78333 q^{26} +(-3.91778 + 3.41336i) q^{27} +(-1.11482 + 0.809961i) q^{28} +(-1.35083 - 0.981432i) q^{29} +(1.37066 - 1.05891i) q^{30} +(-5.23325 - 1.90082i) q^{31} +1.00000i q^{32} +(-5.32247 + 0.156851i) q^{33} +(-0.467955 - 0.644084i) q^{34} +(1.31054 - 0.425822i) q^{35} +(-0.757424 + 2.90281i) q^{36} -10.5109i q^{37} +(1.89089 - 0.614388i) q^{38} +(-2.90826 + 1.04062i) q^{39} +(0.309017 - 0.951057i) q^{40} +(3.01264 - 4.14654i) q^{41} +(-1.34541 + 1.97140i) q^{42} +(-0.341884 + 0.470564i) q^{43} +(-2.48713 + 1.80701i) q^{44} +(1.61737 - 2.52668i) q^{45} +(1.98676 + 2.73454i) q^{46} +(1.43737 + 1.97837i) q^{47} +(0.583524 + 1.63080i) q^{48} +(4.12692 - 2.99838i) q^{49} +(-0.587785 + 0.809017i) q^{50} +(-1.13898 - 0.777308i) q^{51} +(-1.04822 + 1.44275i) q^{52} +(-2.91595 + 8.97438i) q^{53} +(0.458655 + 5.17587i) q^{54} +(2.92380 - 0.950001i) q^{55} +1.37799i q^{56} +(2.72515 - 2.10532i) q^{57} +(-1.58799 + 0.515970i) q^{58} +(3.50962 + 4.83057i) q^{59} +(-0.0510207 - 1.73130i) q^{60} -9.86353i q^{61} +(-4.61382 + 3.11651i) q^{62} +(-1.04372 + 4.00004i) q^{63} +(0.809017 + 0.587785i) q^{64} +(1.44275 - 1.04822i) q^{65} +(-3.00158 + 4.39817i) q^{66} -8.47961 q^{67} -0.796132 q^{68} +(4.83568 + 3.30016i) q^{69} +(0.425822 - 1.31054i) q^{70} +(2.43862 + 0.792357i) q^{71} +(1.90322 + 2.31900i) q^{72} +(8.26641 - 2.68592i) q^{73} +(-8.50350 - 6.17816i) q^{74} +(-0.486477 + 1.66233i) q^{75} +(0.614388 - 1.89089i) q^{76} +(-3.42724 + 2.49004i) q^{77} +(-0.867552 + 2.96449i) q^{78} +(7.35404 + 2.38947i) q^{79} +(-0.587785 - 0.809017i) q^{80} +(3.76822 + 8.17316i) q^{81} +(-1.58384 - 4.87455i) q^{82} +(-3.00001 - 2.17963i) q^{83} +(0.804090 + 2.24722i) q^{84} +(0.757167 + 0.246018i) q^{85} +(0.179739 + 0.553181i) q^{86} +(-2.28861 + 1.76807i) q^{87} +3.07427i q^{88} +(1.54528 + 4.75588i) q^{89} +(-1.09346 - 2.79363i) q^{90} +(-1.44443 + 1.98809i) q^{91} +3.38008 q^{92} +(-5.70564 + 7.77468i) q^{93} +2.44540 q^{94} +(-1.16864 + 1.60849i) q^{95} +(1.66233 + 0.486477i) q^{96} +(-3.15890 - 9.72211i) q^{97} -5.10115i q^{98} +(-2.32852 + 8.92401i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 20 q^{4} + 12 q^{7} - 8 q^{9}+O(q^{10}) \) 80 * q + 20 * q^4 + 12 * q^7 - 8 * q^9	\( 80 q + 20 q^{4} + 12 q^{7} - 8 q^{9} + 20 q^{10} - 10 q^{13} - 20 q^{16} - 12 q^{18} - 12 q^{19} + 30 q^{21} + 10 q^{22} - 80 q^{25} + 18 q^{28} + 16 q^{31} + 72 q^{33} + 10 q^{34} + 8 q^{36} + 54 q^{39} - 20 q^{40} + 50 q^{43} + 8 q^{45} - 10 q^{46} + 8 q^{49} - 44 q^{51} - 10 q^{52} - 10 q^{55} + 30 q^{58} + 28 q^{63} + 20 q^{64} + 66 q^{66} + 60 q^{67} + 20 q^{69} - 12 q^{70} + 12 q^{72} - 20 q^{73} - 18 q^{76} + 8 q^{78} + 40 q^{79} + 16 q^{81} - 4 q^{82} - 60 q^{84} - 72 q^{87} - 12 q^{90} + 10 q^{91} + 104 q^{93} - 12 q^{94} - 178 q^{97}+O(q^{100}) \) 80 * q + 20 * q^4 + 12 * q^7 - 8 * q^9 + 20 * q^10 - 10 * q^13 - 20 * q^16 - 12 * q^18 - 12 * q^19 + 30 * q^21 + 10 * q^22 - 80 * q^25 + 18 * q^28 + 16 * q^31 + 72 * q^33 + 10 * q^34 + 8 * q^36 + 54 * q^39 - 20 * q^40 + 50 * q^43 + 8 * q^45 - 10 * q^46 + 8 * q^49 - 44 * q^51 - 10 * q^52 - 10 * q^55 + 30 * q^58 + 28 * q^63 + 20 * q^64 + 66 * q^66 + 60 * q^67 + 20 * q^69 - 12 * q^70 + 12 * q^72 - 20 * q^73 - 18 * q^76 + 8 * q^78 + 40 * q^79 + 16 * q^81 - 4 * q^82 - 60 * q^84 - 72 * q^87 - 12 * q^90 + 10 * q^91 + 104 * q^93 - 12 * q^94 - 178 * q^97

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