LMFDB - Embedded newform 378.2.ba.a.47.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [378,2,Mod(47,378)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(378, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([7, 15]))

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

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

chi := DirichletCharacter("378.47");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 378 = 2 \cdot 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	378.ba (of order $18$, 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:	$3.01834519640$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$24$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			47.7
Character	$\chi$	$=$	378.47
Dual form			378.2.ba.a.185.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.984808 - 0.173648i) q^{2} +(0.363371 + 1.69351i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-0.772614 - 0.281208i) q^{5} +(-0.0637767 - 1.73088i) q^{6} +(-1.54265 - 2.14948i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.73592 + 1.23074i) q^{9} +O(q^{10})$	\(q+(-0.984808 - 0.173648i) q^{2} +(0.363371 + 1.69351i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-0.772614 - 0.281208i) q^{5} +(-0.0637767 - 1.73088i) q^{6} +(-1.54265 - 2.14948i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.73592 + 1.23074i) q^{9} +(0.712045 + 0.411099i) q^{10} +(1.85893 + 5.10738i) q^{11} +(-0.237756 + 1.71566i) q^{12} +(-0.925889 + 2.54386i) q^{13} +(1.14596 + 2.38470i) q^{14} +(0.195482 - 1.41061i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-3.09949 + 5.36847i) q^{17} +(2.90807 - 0.736957i) q^{18} +(2.18285 - 1.26027i) q^{19} +(-0.629840 - 0.528499i) q^{20} +(3.07959 - 3.39354i) q^{21} +(-0.943806 - 5.35259i) q^{22} +(-8.95639 + 1.57925i) q^{23} +(0.532064 - 1.64830i) q^{24} +(-3.31237 - 2.77941i) q^{25} +(1.35356 - 2.34443i) q^{26} +(-3.07843 - 4.18608i) q^{27} +(-0.714449 - 2.54746i) q^{28} +(0.164581 + 0.452182i) q^{29} +(-0.437462 + 1.35523i) q^{30} +(-0.435702 + 1.19708i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(-7.97389 + 5.00399i) q^{33} +(3.98462 - 4.74869i) q^{34} +(0.587419 + 2.09452i) q^{35} +(-2.99187 + 0.220779i) q^{36} +5.37094 q^{37} +(-2.36853 + 0.862076i) q^{38} +(-4.64448 - 0.643633i) q^{39} +(0.528499 + 0.629840i) q^{40} +(1.62221 + 0.590437i) q^{41} +(-3.62209 + 2.80722i) q^{42} +(-0.123789 + 0.702045i) q^{43} +5.43516i q^{44} +(2.45991 - 0.181524i) q^{45} +9.09456 q^{46} +(1.82642 - 0.664764i) q^{47} +(-0.810206 + 1.53087i) q^{48} +(-2.24049 + 6.63176i) q^{49} +(2.77941 + 3.31237i) q^{50} +(-10.2178 - 3.29825i) q^{51} +(-1.74010 + 2.07377i) q^{52} +(9.45984 - 5.46164i) q^{53} +(2.30475 + 4.65705i) q^{54} -4.46878i q^{55} +(0.261233 + 2.63282i) q^{56} +(2.92746 + 3.23873i) q^{57} +(-0.0835599 - 0.473891i) q^{58} +(-5.87759 + 4.93188i) q^{59} +(0.666150 - 1.25868i) q^{60} +(4.62995 + 12.7207i) q^{61} +(0.636954 - 1.10324i) q^{62} +(6.86601 + 3.98220i) q^{63} +(0.500000 + 0.866025i) q^{64} +(1.43071 - 1.70505i) q^{65} +(8.72169 - 3.54332i) q^{66} +(-0.781290 - 4.43092i) q^{67} +(-4.74869 + 3.98462i) q^{68} +(-5.92897 - 14.5938i) q^{69} +(-0.214785 - 2.16470i) q^{70} +(7.72793 - 4.46172i) q^{71} +(2.98475 + 0.302107i) q^{72} +3.14533i q^{73} +(-5.28934 - 0.932654i) q^{74} +(3.50332 - 6.61947i) q^{75} +(2.48225 - 0.437688i) q^{76} +(8.11051 - 11.8746i) q^{77} +(4.46216 + 1.44036i) q^{78} +(1.32978 - 7.54158i) q^{79} +(-0.411099 - 0.712045i) q^{80} +(5.97054 - 6.73443i) q^{81} +(-1.49504 - 0.863161i) q^{82} +(-14.9989 + 5.45915i) q^{83} +(4.05453 - 2.13560i) q^{84} +(3.90437 - 3.27615i) q^{85} +(0.243818 - 0.669884i) q^{86} +(-0.705969 + 0.443028i) q^{87} +(0.943806 - 5.35259i) q^{88} +(7.05756 + 12.2241i) q^{89} +(-2.45406 - 0.248392i) q^{90} +(6.89628 - 1.93410i) q^{91} +(-8.95639 - 1.57925i) q^{92} +(-2.18558 - 0.302879i) q^{93} +(-1.91411 + 0.337510i) q^{94} +(-2.04090 + 0.359866i) q^{95} +(1.06373 - 1.36692i) q^{96} +(12.7258 + 2.24391i) q^{97} +(3.35804 - 6.14195i) q^{98} +(-11.3718 - 11.6855i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 18 q^{6} + 24 q^{9}+O(q^{10}) $ 144 * q - 18 * q^6 + 24 * q^9	$ 144 q - 18 q^{6} + 24 q^{9} - 24 q^{11} + 6 q^{14} + 12 q^{15} - 30 q^{21} - 42 q^{23} - 6 q^{29} - 18 q^{30} + 6 q^{36} + 48 q^{39} - 48 q^{42} + 18 q^{45} - 54 q^{47} - 36 q^{49} + 12 q^{50} - 36 q^{51} - 90 q^{53} + 6 q^{56} - 6 q^{57} + 18 q^{60} + 54 q^{61} - 24 q^{63} + 72 q^{64} + 78 q^{65} - 72 q^{66} - 54 q^{68} + 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} - 36 q^{74} - 6 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 36 q^{91} - 42 q^{92} + 96 q^{93} - 66 q^{95} - 108 q^{99}+O(q^{100}) $ 144 * q - 18 * q^6 + 24 * q^9 - 24 * q^11 + 6 * q^14 + 12 * q^15 - 30 * q^21 - 42 * q^23 - 6 * q^29 - 18 * q^30 + 6 * q^36 + 48 * q^39 - 48 * q^42 + 18 * q^45 - 54 * q^47 - 36 * q^49 + 12 * q^50 - 36 * q^51 - 90 * q^53 + 6 * q^56 - 6 * q^57 + 18 * q^60 + 54 * q^61 - 24 * q^63 + 72 * q^64 + 78 * q^65 - 72 * q^66 - 54 * q^68 + 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 - 36 * q^74 - 6 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 36 * q^91 - 42 * q^92 + 96 * q^93 - 66 * q^95 - 108 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/378\mathbb{Z}\right)^\times$.

$n$	$29$	$325$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.984808	−	0.173648i	−0.696364	−	0.122788i
$2$	−0.984808	−	0.173648i	−0.696364	−	0.122788i
$3$	0.363371	+	1.69351i	0.209793	+	0.977746i
$3$	0.363371	+	1.69351i	0.209793	+	0.977746i
$4$	0.939693	+	0.342020i	0.469846	+	0.171010i
$5$	−0.772614	−	0.281208i	−0.345523	−	0.125760i	0.163429	−	0.986555i	$-0.447745\pi$
$5$	−0.772614	−	0.281208i	−0.345523	−	0.125760i	−0.508952	+	0.860795i	$0.669967\pi$
$6$	−0.0637767	−	1.73088i	−0.0260367	−	0.706627i
$7$	−1.54265	−	2.14948i	−0.583065	−	0.812425i
$7$	−1.54265	−	2.14948i	−0.583065	−	0.812425i
$8$	−0.866025	−	0.500000i	−0.306186	−	0.176777i
$9$	−2.73592	+	1.23074i	−0.911974	+	0.410248i
$10$	0.712045	+	0.411099i	0.225168	+	0.130001i
$11$	1.85893	+	5.10738i	0.560490	+	1.53993i	0.818923	+	0.573904i	$0.194572\pi$
$11$	1.85893	+	5.10738i	0.560490	+	1.53993i	−0.258433	+	0.966029i	$0.583206\pi$
$12$	−0.237756	+	1.71566i	−0.0686341	+	0.495267i
$13$	−0.925889	+	2.54386i	−0.256796	+	0.705540i	0.742565	+	0.669774i	$0.233609\pi$
$13$	−0.925889	+	2.54386i	−0.256796	+	0.705540i	−0.999360	+	0.0357655i	$0.988613\pi$
$14$	1.14596	+	2.38470i	0.306270	+	0.637337i
$15$	0.195482	−	1.41061i	0.0504733	−	0.364218i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	−3.09949	+	5.36847i	−0.751736	+	1.30205i	0.195245	+	0.980755i	$0.437450\pi$
$17$	−3.09949	+	5.36847i	−0.751736	+	1.30205i	−0.946981	+	0.321291i	$0.895883\pi$
$18$	2.90807	−	0.736957i	0.685440	−	0.173702i
$19$	2.18285	−	1.26027i	0.500781	−	0.289126i	−0.228255	−	0.973601i	$-0.573302\pi$
$19$	2.18285	−	1.26027i	0.500781	−	0.289126i	0.729036	+	0.684475i	$0.239969\pi$
$20$	−0.629840	−	0.528499i	−0.140837	−	0.118176i
$21$	3.07959	−	3.39354i	0.672023	−	0.740531i
$22$	−0.943806	−	5.35259i	−0.201220	−	1.14118i
$23$	−8.95639	+	1.57925i	−1.86754	+	0.329297i	−0.988946	−	0.148278i	$-0.952627\pi$
$23$	−8.95639	+	1.57925i	−1.86754	+	0.329297i	−0.878591	+	0.477575i	$0.841516\pi$
$24$	0.532064	−	1.64830i	0.108607	−	0.336459i
$25$	−3.31237	−	2.77941i	−0.662474	−	0.555881i
$26$	1.35356	−	2.34443i	0.265455	−	0.459781i
$27$	−3.07843	−	4.18608i	−0.592443	−	0.805612i
$28$	−0.714449	−	2.54746i	−0.135018	−	0.481425i
$29$	0.164581	+	0.452182i	0.0305619	+	0.0839681i	0.954035	−	0.299695i	$-0.0968848\pi$
$29$	0.164581	+	0.452182i	0.0305619	+	0.0839681i	−0.923473	+	0.383663i	$0.874663\pi$
$30$	−0.437462	+	1.35523i	−0.0798693	+	0.247431i
$31$	−0.435702	+	1.19708i	−0.0782544	+	0.215002i	−0.972650	−	0.232274i	$-0.925384\pi$
$31$	−0.435702	+	1.19708i	−0.0782544	+	0.215002i	0.894396	+	0.447276i	$0.147606\pi$
$32$	−0.642788	−	0.766044i	−0.113630	−	0.135419i
$33$	−7.97389	+	5.00399i	−1.38808	+	0.871083i
$34$	3.98462	−	4.74869i	0.683357	−	0.814394i
$35$	0.587419	+	2.09452i	0.0992919	+	0.354038i
$36$	−2.99187	+	0.220779i	−0.498644	+	0.0367966i
$37$	5.37094			0.882977			0.441489	−	0.897267i	$-0.354451\pi$
$37$	5.37094			0.882977			0.441489	+	0.897267i	$0.354451\pi$
$38$	−2.36853	+	0.862076i	−0.384227	+	0.139847i
$39$	−4.64448	−	0.643633i	−0.743713	−	0.103064i
$40$	0.528499	+	0.629840i	0.0835630	+	0.0995865i
$41$	1.62221	+	0.590437i	0.253347	+	0.0922107i	0.465572	−	0.885010i	$-0.345849\pi$
$41$	1.62221	+	0.590437i	0.253347	+	0.0922107i	−0.212225	+	0.977221i	$0.568071\pi$
$42$	−3.62209	+	2.80722i	−0.558901	+	0.433163i
$43$	−0.123789	+	0.702045i	−0.0188777	+	0.107061i	−0.992791	−	0.119861i	$-0.961755\pi$
$43$	−0.123789	+	0.702045i	−0.0188777	+	0.107061i	0.973913	+	0.226922i	$0.0728662\pi$
$44$			5.43516i			0.819381i
$45$	2.45991	−	0.181524i	0.366701	−	0.0270601i
$46$	9.09456			1.34092
$47$	1.82642	−	0.664764i	0.266411	−	0.0969658i	−0.205361	−	0.978686i	$-0.565837\pi$
$47$	1.82642	−	0.664764i	0.266411	−	0.0969658i	0.471772	+	0.881721i	$0.343615\pi$
$48$	−0.810206	+	1.53087i	−0.116943	+	0.220962i
$49$	−2.24049	+	6.63176i	−0.320070	+	0.947394i
$50$	2.77941	+	3.31237i	0.393068	+	0.468440i
$51$	−10.2178	−	3.29825i	−1.43078	−	0.461848i
$52$	−1.74010	+	2.07377i	−0.241309	+	0.287581i
$53$	9.45984	−	5.46164i	1.29941	−	0.750214i	0.319107	−	0.947719i	$-0.396617\pi$
$53$	9.45984	−	5.46164i	1.29941	−	0.750214i	0.980302	+	0.197505i	$0.0632838\pi$
$54$	2.30475	+	4.65705i	0.313637	+	0.633744i
$55$		−	4.46878i		−	0.602570i
$56$	0.261233	+	2.63282i	0.0349087	+	0.351826i
$57$	2.92746	+	3.23873i	0.387752	+	0.428980i
$58$	−0.0835599	−	0.473891i	−0.0109719	−	0.0622250i
$59$	−5.87759	+	4.93188i	−0.765197	+	0.642076i	−0.939474	−	0.342620i	$-0.888686\pi$
$59$	−5.87759	+	4.93188i	−0.765197	+	0.642076i	0.174277	+	0.984697i	$0.444241\pi$
$60$	0.666150	−	1.25868i	0.0859996	−	0.162495i
$61$	4.62995	+	12.7207i	0.592804	+	1.62872i	0.765276	+	0.643702i	$0.222602\pi$
$61$	4.62995	+	12.7207i	0.592804	+	1.62872i	−0.172472	+	0.985015i	$0.555175\pi$
$62$	0.636954	−	1.10324i	0.0808932	−	0.140111i
$63$	6.86601	+	3.98220i	0.865036	+	0.501710i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$	1.43071	−	1.70505i	0.177458	−	0.211486i
$66$	8.72169	−	3.54332i	1.07357	−	0.436152i
$67$	−0.781290	−	4.43092i	−0.0954498	−	0.541323i	−0.994609	−	0.103700i	$-0.966932\pi$
$67$	−0.781290	−	4.43092i	−0.0954498	−	0.541323i	0.899159	−	0.437622i	$-0.144179\pi$
$68$	−4.74869	+	3.98462i	−0.575863	+	0.483207i
$69$	−5.92897	−	14.5938i	−0.713764	−	1.75689i
$70$	−0.214785	−	2.16470i	−0.0256718	−	0.258731i
$71$	7.72793	−	4.46172i	0.917136	−	0.529509i	0.0344160	−	0.999408i	$-0.489043\pi$
$71$	7.72793	−	4.46172i	0.917136	−	0.529509i	0.882720	+	0.469899i	$0.155710\pi$
$72$	2.98475	+	0.302107i	0.351756	+	0.0356036i
$73$			3.14533i			0.368133i	0.982914	+	0.184066i	$0.0589261\pi$
$73$			3.14533i			0.368133i	−0.982914	+	0.184066i	$0.941074\pi$
$74$	−5.28934	−	0.932654i	−0.614874	−	0.108419i
$75$	3.50332	−	6.61947i	0.404529	−	0.764351i
$76$	2.48225	−	0.437688i	0.284734	−	0.0502062i
$77$	8.11051	−	11.8746i	0.924278	−	1.35324i
$78$	4.46216	+	1.44036i	0.505240	+	0.163089i
$79$	1.32978	−	7.54158i	0.149612	−	0.848494i	−0.813935	−	0.580956i	$-0.802679\pi$
$79$	1.32978	−	7.54158i	0.149612	−	0.848494i	0.963547	−	0.267538i	$-0.0862101\pi$
$80$	−0.411099	−	0.712045i	−0.0459623	−	0.0796090i
$81$	5.97054	−	6.73443i	0.663394	−	0.748270i
$82$	−1.49504	−	0.863161i	−0.165099	−	0.0953202i
$83$	−14.9989	+	5.45915i	−1.64634	+	0.599219i	−0.988131	−	0.153615i	$-0.950908\pi$
$83$	−14.9989	+	5.45915i	−1.64634	+	0.599219i	−0.658210	+	0.752834i	$0.728686\pi$
$84$	4.05453	−	2.13560i	0.442386	−	0.233013i
$85$	3.90437	−	3.27615i	0.423488	−	0.355349i
$86$	0.243818	−	0.669884i	0.0262915	−	0.0722354i
$87$	−0.705969	+	0.443028i	−0.0756878	+	0.0474976i
$88$	0.943806	−	5.35259i	0.100610	−	0.570588i
$89$	7.05756	+	12.2241i	0.748100	+	1.29575i	0.948732	+	0.316081i	$0.102367\pi$
$89$	7.05756	+	12.2241i	0.748100	+	1.29575i	−0.200632	+	0.979667i	$0.564300\pi$
$90$	−2.45406	−	0.248392i	−0.258680	−	0.0261828i
$91$	6.89628	−	1.93410i	0.722927	−	0.202749i
$92$	−8.95639	−	1.57925i	−0.933768	−	0.164649i
$93$	−2.18558	−	0.302879i	−0.226635	−	0.0314070i
$94$	−1.91411	+	0.337510i	−0.197426	+	0.0348115i
$95$	−2.04090	+	0.359866i	−0.209392	+	0.0369215i
$96$	1.06373	−	1.36692i	0.108566	−	0.139511i
$97$	12.7258	+	2.24391i	1.29211	+	0.227834i	0.777116	−	0.629358i	$-0.216682\pi$
$97$	12.7258	+	2.24391i	1.29211	+	0.227834i	0.514997	+	0.857192i	$0.327793\pi$
$98$	3.35804	−	6.14195i	0.339213	−	0.620431i
$99$	−11.3718	−	11.6855i	−1.14291	−	1.17444i
$100$	−2.16199	−	3.74469i	−0.216199	−	0.374469i
$101$	1.48262	−	8.40835i	0.147526	−	0.836662i	−0.817778	−	0.575534i	$-0.804794\pi$
$101$	1.48262	−	8.40835i	0.147526	−	0.836662i	0.965304	−	0.261128i	$-0.0840946\pi$
$102$	9.48983	+	5.02245i	0.939633	+	0.497296i
$103$	−3.86393	+	10.6161i	−0.380724	+	1.04603i	0.590328	+	0.807163i	$0.298998\pi$
$103$	−3.86393	+	10.6161i	−0.380724	+	1.04603i	−0.971052	+	0.238867i	$0.923224\pi$
$104$	2.07377	−	1.74010i	0.203350	−	0.170631i
$105$	−3.33363	+	1.75589i	−0.325329	+	0.171357i
$106$	−10.2645	+	3.73598i	−0.996979	+	0.362871i
$107$	7.83227	+	4.52197i	0.757174	+	0.437155i	0.828280	−	0.560314i	$-0.189319\pi$
$107$	7.83227	+	4.52197i	0.757174	+	0.437155i	−0.0711059	+	0.997469i	$0.522653\pi$
$108$	−1.46105	−	4.98652i	−0.140590	−	0.479828i
$109$	−3.59011	−	6.21825i	−0.343870	−	0.595600i	0.641278	−	0.767309i	$-0.278405\pi$
$109$	−3.59011	−	6.21825i	−0.343870	−	0.595600i	−0.985148	+	0.171709i	$0.945071\pi$
$110$	−0.775996	+	4.40089i	−0.0739883	+	0.419608i
$111$	1.95165	+	9.09572i	0.185242	+	0.863327i
$112$	0.199921	−	2.63819i	0.0188907	−	0.249285i
$113$	9.88716	−	1.74337i	0.930106	−	0.164003i	0.311986	−	0.950087i	$-0.399006\pi$
$113$	9.88716	−	1.74337i	0.930106	−	0.164003i	0.618120	+	0.786084i	$0.287895\pi$
$114$	−2.32059	−	3.69787i	−0.217343	−	0.346338i
$115$	7.36393	+	1.29846i	0.686690	+	0.121082i
$116$			0.481202i			0.0446785i
$117$	−0.597676	−	8.09934i	−0.0552552	−	0.748784i
$118$	6.64471	−	3.83632i	0.611695	−	0.353162i
$119$	16.3208	−	1.61938i	1.49613	−	0.148448i
$120$	−0.874597	+	1.12388i	−0.0798394	+	0.102596i
$121$	−14.2032	+	11.9179i	−1.29120	+	1.08345i
$122$	−2.35069	−	13.3314i	−0.212821	−	1.20697i
$123$	−0.410443	+	2.96177i	−0.0370084	+	0.267054i
$124$	−0.818852	+	0.975869i	−0.0735350	+	0.0876357i
$125$	3.83308	+	6.63910i	0.342842	+	0.593819i
$126$	−6.07020	−	5.11397i	−0.540776	−	0.455589i
$127$	8.69189	−	15.0548i	0.771281	−	1.33590i	−0.165580	−	0.986196i	$-0.552950\pi$
$127$	8.69189	−	15.0548i	0.771281	−	1.33590i	0.936861	−	0.349701i	$-0.113717\pi$
$128$	−0.342020	−	0.939693i	−0.0302306	−	0.0830579i
$129$	−1.23390	+	0.0454649i	−0.108639	+	0.00400296i
$130$	−1.70505	+	1.43071i	−0.149543	+	0.125482i
$131$	−2.81214	−	15.9484i	−0.245698	−	1.39342i	−0.818867	−	0.573983i	$-0.805398\pi$
$131$	−2.81214	−	15.9484i	−0.245698	−	1.39342i	0.573170	−	0.819437i	$-0.305714\pi$
$132$	−9.20448	+	1.97498i	−0.801147	+	0.171900i
$133$	−6.07629	−	2.74784i	−0.526881	−	0.238268i
$134$			4.49927i			0.388678i
$135$	1.20127	+	4.09990i	0.103389	+	0.352864i
$136$	5.36847	−	3.09949i	0.460342	−	0.265779i
$137$	−1.87496	+	2.23449i	−0.160188	+	0.190905i	−0.840168	−	0.542326i	$-0.817544\pi$
$137$	−1.87496	+	2.23449i	−0.160188	+	0.190905i	0.679980	+	0.733231i	$0.261988\pi$
$138$	3.30470	+	15.4017i	0.281315	+	1.31108i
$139$	5.33779	+	6.36133i	0.452745	+	0.539561i	0.943340	−	0.331827i	$-0.107665\pi$
$139$	5.33779	+	6.36133i	0.452745	+	0.539561i	−0.490595	+	0.871388i	$0.663220\pi$
$140$	−0.164374	+	2.16911i	−0.0138922	+	0.183324i
$141$	1.78945	+	2.85150i	0.150699	+	0.240140i
$142$	−8.38529	+	3.05200i	−0.703678	+	0.256118i
$143$	−14.7136			−1.23042
$144$	−2.88694	−	0.815813i	−0.240579	−	0.0679845i
$145$		−	0.395643i		−	0.0328564i
$146$	0.546180	−	3.09754i	0.0452022	−	0.256354i
$147$	−12.0450	−	1.38449i	−0.993459	−	0.114190i
$148$	5.04703	+	1.83697i	0.414864	+	0.150998i
$149$	1.86402	+	2.22145i	0.152706	+	0.181988i	0.836974	−	0.547243i	$-0.184323\pi$
$149$	1.86402	+	2.22145i	0.152706	+	0.181988i	−0.684268	+	0.729231i	$0.739878\pi$
$150$	−4.59956	+	5.91056i	−0.375552	+	0.482595i
$151$	−5.70356	+	2.07593i	−0.464149	+	0.168937i	−0.563500	−	0.826116i	$-0.690546\pi$
$151$	−5.70356	+	2.07593i	−0.464149	+	0.168937i	0.0993508	+	0.995052i	$0.468323\pi$
$152$	−2.52054			−0.204443
$153$	1.87275	−	18.5024i	0.151403	−	1.49583i
$154$	−10.0493	+	10.2858i	−0.809795	+	0.828856i
$155$	0.673258	−	0.802358i	0.0540774	−	0.0644470i
$156$	−4.14425	−	2.19332i	−0.331806	−	0.175606i
$157$	−4.06589	−	4.84554i	−0.324493	−	0.386716i	0.578993	−	0.815332i	$-0.303446\pi$
$157$	−4.06589	−	4.84554i	−0.324493	−	0.386716i	−0.903487	+	0.428616i	$0.859001\pi$
$158$	−2.61916	+	7.19609i	−0.208369	+	0.572490i
$159$	12.6868	+	14.0357i	1.00612	+	1.11310i
$160$	0.281208	+	0.772614i	0.0222315	+	0.0610805i
$161$	17.2111	+	16.8153i	1.35643	+	1.32523i
$162$	−7.04926	+	5.59535i	−0.553842	+	0.439612i
$163$	−8.28112	+	14.3433i	−0.648627	+	1.12345i	0.334824	+	0.942281i	$0.391323\pi$
$163$	−8.28112	+	14.3433i	−0.648627	+	1.12345i	−0.983451	+	0.181174i	$0.942010\pi$
$164$	1.32244	+	1.10966i	0.103265	+	0.0866498i
$165$	7.56790	−	1.62383i	0.589161	−	0.126415i
$166$	15.7190	−	2.77168i	1.22003	−	0.215124i
$167$	−1.94070	−	11.0063i	−0.150176	−	0.851689i	−0.963065	−	0.269270i	$-0.913217\pi$
$167$	−1.94070	−	11.0063i	−0.150176	−	0.851689i	0.812889	−	0.582419i	$-0.197894\pi$
$168$	−4.36378	+	1.39909i	−0.336673	+	0.107942i
$169$	4.34462	+	3.64557i	0.334202	+	0.280429i
$170$	−4.41395	+	2.54839i	−0.338534	+	0.195453i
$171$	−4.42105	+	6.13454i	−0.338086	+	0.469120i
$172$	−0.356438	+	0.617368i	−0.0271781	+	0.0470739i
$173$	0.0174302	+	0.0146257i	0.00132519	+	0.00111197i	0.643450	−	0.765488i	$-0.277502\pi$
$173$	0.0174302	+	0.0146257i	0.00132519	+	0.00111197i	−0.642125	+	0.766600i	$0.721947\pi$
$174$	0.772175	−	0.313708i	0.0585384	−	0.0237821i
$175$	−0.864455	+	11.4075i	−0.0653466	+	0.862326i
$176$	−1.85893	+	5.10738i	−0.140122	+	0.384983i
$177$	−10.4879	−	8.16162i	−0.788320	−	0.613465i
$178$	−4.82766	−	13.2639i	−0.361848	−	0.994170i
$179$	0.745602	+	0.430474i	0.0557289	+	0.0321751i	0.527606	−	0.849489i	$-0.323090\pi$
$179$	0.745602	+	0.430474i	0.0557289	+	0.0321751i	−0.471877	+	0.881665i	$0.656423\pi$
$180$	2.37364	+	0.670760i	0.176921	+	0.0499955i
$181$	16.1715	+	9.33664i	1.20202	+	0.693987i	0.961004	−	0.276534i	$-0.0891858\pi$
$181$	16.1715	+	9.33664i	1.20202	+	0.693987i	0.241017	+	0.970521i	$0.422519\pi$
$182$	−7.12737	+	0.707189i	−0.528316	+	0.0524203i
$183$	−19.8602	+	12.4632i	−1.46811	+	0.921305i
$184$	8.54609	+	3.11052i	0.630026	+	0.229311i
$185$	−4.14966	−	1.51035i	−0.305089	−	0.111043i
$186$	2.09979	+	0.677800i	0.153964	+	0.0496987i
$187$	−33.1806	−	5.85063i	−2.42640	−	0.427840i
$188$	1.94364			0.141755
$189$	−4.24896	+	13.0746i	−0.309066	+	0.951040i
$190$	2.07239			0.150347
$191$	−6.78489	−	1.19636i	−0.490937	−	0.0865655i	−0.0773012	−	0.997008i	$-0.524630\pi$
$191$	−6.78489	−	1.19636i	−0.490937	−	0.0865655i	−0.413636	+	0.910442i	$0.635741\pi$
$192$	−1.28493	+	1.16144i	−0.0927321	+	0.0838198i
$193$	−20.0691	−	7.30457i	−1.44461	−	0.525795i	−0.503529	−	0.863978i	$-0.667965\pi$
$193$	−20.0691	−	7.30457i	−1.44461	−	0.525795i	−0.941080	+	0.338184i	$0.890187\pi$
$194$	−12.1428	−	4.41963i	−0.871806	−	0.317311i
$195$	3.40740	+	1.80335i	0.244009	+	0.129140i
$196$	−4.37356	+	5.46552i	−0.312397	+	0.390394i
$197$	−0.769282	−	0.444145i	−0.0548091	−	0.0316440i	0.472345	−	0.881414i	$-0.343408\pi$
$197$	−0.769282	−	0.444145i	−0.0548091	−	0.0316440i	−0.527154	+	0.849770i	$0.676741\pi$
$198$	9.16984	+	13.4827i	0.651672	+	0.958173i
$199$	3.33534	+	1.92566i	0.236436	+	0.136506i	0.613538	−	0.789665i	$-0.289746\pi$
$199$	3.33534	+	1.92566i	0.236436	+	0.136506i	−0.377102	+	0.926172i	$0.623079\pi$
$200$	1.47889	+	4.06322i	0.104573	+	0.287313i
$201$	7.21988	−	2.93319i	0.509251	−	0.206891i
$202$	−2.92019	+	8.02315i	−0.205464	+	0.564507i
$203$	0.718064	−	1.05132i	0.0503982	−	0.0737881i
$204$	−8.47352	−	6.59404i	−0.593265	−	0.461675i
$205$	−1.08731	−	0.912359i	−0.0759408	−	0.0637219i
$206$	5.64868	−	9.78381i	0.393562	−	0.681670i
$207$	22.5603	−	15.3437i	1.56805	−	1.06646i
$208$	−2.34443	+	1.35356i	−0.162557	+	0.0938525i
$209$	10.4945	+	8.80590i	0.725917	+	0.609117i
$210$	3.58789	−	1.15033i	0.247588	−	0.0793804i
$211$	0.725357	+	4.11370i	0.0499356	+	0.283199i	0.999543	−	0.0302443i	$-0.00962853\pi$
$211$	0.725357	+	4.11370i	0.0499356	+	0.283199i	−0.949607	+	0.313443i	$0.898517\pi$
$212$	10.7573	−	1.89681i	0.738817	−	0.130273i
$213$	10.3641	+	11.4660i	0.710134	+	0.785639i
$214$	−6.92805	−	5.81333i	−0.473592	−	0.397391i
$215$	0.293062	−	0.507599i	0.0199867	−	0.0346180i
$216$	0.572953	+	5.16447i	0.0389845	+	0.351398i
$217$	3.24523	−	0.910142i	0.220301	−	0.0617845i
$218$	2.45578	+	6.74719i	0.166326	+	0.456978i
$219$	−5.32663	+	1.14292i	−0.359940	+	0.0772315i
$220$	1.52841	−	4.19928i	0.103046	−	0.283115i
$221$	−10.7869	−	12.8553i	−0.725602	−	0.864739i
$222$	−0.342541	−	9.29643i	−0.0229899	−	0.623936i
$223$	−12.1167	+	14.4401i	−0.811393	+	0.966981i	−0.999886	−	0.0150935i	$-0.995195\pi$
$223$	−12.1167	+	14.4401i	−0.811393	+	0.966981i	0.188493	+	0.982075i	$0.439640\pi$
$224$	−0.655000	+	2.56339i	−0.0437640	+	0.171274i
$225$	12.4831	+	3.52757i	0.832208	+	0.235171i
$226$	−10.0397			−0.667830
$227$	−8.44491	+	3.07370i	−0.560509	+	0.204008i	−0.606709	−	0.794924i	$-0.707511\pi$
$227$	−8.44491	+	3.07370i	−0.560509	+	0.204008i	0.0462008	+	0.998932i	$0.485289\pi$
$228$	1.64320	+	4.04466i	0.108824	+	0.267864i
$229$	12.6006	+	15.0168i	0.832672	+	0.992339i	0.999979	+	0.00643471i	$0.00204825\pi$
$229$	12.6006	+	15.0168i	0.832672	+	0.992339i	−0.167308	+	0.985905i	$0.553507\pi$
$230$	−7.02658	−	2.55747i	−0.463319	−	0.168634i
$231$	23.0569	+	9.42030i	1.51703	+	0.619810i
$232$	0.0835599	−	0.473891i	0.00548597	−	0.0311125i
$233$		−	25.1627i		−	1.64847i	−0.566251	−	0.824233i	$-0.691607\pi$
$233$		−	25.1627i		−	1.64847i	0.566251	−	0.824233i	$-0.308393\pi$
$234$	−0.817839	+	8.08007i	−0.0534638	+	0.528211i
$235$	−1.59806			−0.104246
$236$	−7.20993	+	2.62420i	−0.469326	+	0.170821i
$237$	13.2549	−	0.488397i	0.860999	−	0.0317248i
$238$	−16.3541	−	1.23930i	−1.06008	−	0.0803321i
$239$	−4.29038	−	5.11308i	−0.277522	−	0.330738i	0.609221	−	0.793000i	$-0.291482\pi$
$239$	−4.29038	−	5.11308i	−0.277522	−	0.330738i	−0.886743	+	0.462263i	$0.847038\pi$
$240$	1.05647	−	0.954935i	0.0681948	−	0.0616408i
$241$	7.19238	−	8.57155i	0.463302	−	0.552142i	−0.482918	−	0.875666i	$-0.660423\pi$
$241$	7.19238	−	8.57155i	0.463302	−	0.552142i	0.946220	+	0.323524i	$0.104868\pi$
$242$	16.0570	−	9.27049i	1.03218	−	0.595929i
$243$	13.5743	+	7.66405i	0.870793	+	0.491649i
$244$			13.5371i			0.866622i
$245$	3.59594	−	4.49374i	0.229736	−	0.287095i
$246$	0.918514	−	2.84550i	0.0585623	−	0.181423i
$247$	1.18487	+	6.71975i	0.0753916	+	0.427567i
$248$	0.975869	−	0.818852i	0.0619678	−	0.0519971i
$249$	−14.6953	−	23.4170i	−0.931274	−	1.48399i
$250$	−2.62198	−	7.20384i	−0.165829	−	0.455611i
$251$	−2.14497	+	3.71520i	−0.135389	+	0.234501i	−0.925746	−	0.378146i	$-0.876562\pi$
$251$	−2.14497	+	3.71520i	−0.135389	+	0.234501i	0.790357	+	0.612647i	$0.209895\pi$
$252$	5.08995	+	6.09036i	0.320637	+	0.383656i
$253$	−24.7152	−	42.8080i	−1.55383	−	2.69131i
$254$	−11.1741	+	13.3168i	−0.701124	+	0.835568i
$255$	6.96692	+	5.42160i	0.436285	+	0.339514i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	−2.15275	+	1.80637i	−0.134285	+	0.112678i	−0.707456	−	0.706757i	$-0.750157\pi$
$257$	−2.15275	+	1.80637i	−0.134285	+	0.112678i	0.573171	+	0.819435i	$0.305713\pi$
$258$	1.22305	+	0.169490i	0.0761436	+	0.0105520i
$259$	−8.28546	−	11.5447i	−0.514833	−	0.717353i
$260$	1.92759	−	1.11289i	0.119544	−	0.0690188i
$261$	−1.00680	−	1.03458i	−0.0623194	−	0.0640388i
$262$			16.1944i			1.00050i
$263$	−19.4935	−	3.43722i	−1.20202	−	0.211948i	−0.463447	−	0.886124i	$-0.653388\pi$
$263$	−19.4935	−	3.43722i	−1.20202	−	0.211948i	−0.738570	+	0.674176i	$0.764499\pi$
$264$	9.40759	−	0.346637i	0.578997	−	0.0213340i
$265$	−8.84466	+	1.55955i	−0.543323	+	0.0958025i
$266$	5.50682	+	3.76123i	0.337645	+	0.230616i
$267$	−18.1370	+	16.3939i	−1.10997	+	1.00329i
$268$	0.781290	−	4.43092i	0.0477249	−	0.270661i
$269$	−6.75679	−	11.7031i	−0.411969	−	0.713551i	0.583136	−	0.812374i	$-0.301825\pi$
$269$	−6.75679	−	11.7031i	−0.411969	−	0.713551i	−0.995105	+	0.0988235i	$0.968492\pi$
$270$	−0.471081	−	4.24622i	−0.0286691	−	0.258417i
$271$	9.76009	+	5.63499i	0.592883	+	0.342301i	0.766237	−	0.642558i	$-0.222127\pi$
$271$	9.76009	+	5.63499i	0.592883	+	0.342301i	−0.173353	+	0.984860i	$0.555460\pi$
$272$	−5.82513	+	2.12017i	−0.353200	+	0.128554i
$273$	5.78132	+	10.9761i	0.349901	+	0.664304i
$274$	2.23449	−	1.87496i	0.134990	−	0.113270i
$275$	8.03801	−	22.0843i	0.484710	−	1.33173i
$276$	−0.580021	−	15.7416i	−0.0349132	−	0.947530i
$277$	−5.00445	+	28.3816i	−0.300688	+	1.70529i	0.342450	+	0.939536i	$0.388743\pi$
$277$	−5.00445	+	28.3816i	−0.300688	+	1.70529i	−0.643138	+	0.765750i	$0.722368\pi$
$278$	−4.15206	−	7.19159i	−0.249024	−	0.431323i
$279$	−0.281252	−	3.81136i	−0.0168381	−	0.228180i
$280$	0.538540	−	2.10762i	0.0321839	−	0.125954i
$281$	5.11877	+	0.902577i	0.305360	+	0.0538432i	0.324229	−	0.945979i	$-0.394895\pi$
$281$	5.11877	+	0.902577i	0.305360	+	0.0538432i	−0.0188686	+	0.999822i	$0.506006\pi$
$282$	−1.26711	−	3.11892i	−0.0754552	−	0.185729i
$283$	−7.14984	+	1.26071i	−0.425014	+	0.0749414i	−0.382064	−	0.924136i	$-0.624787\pi$
$283$	−7.14984	+	1.26071i	−0.425014	+	0.0749414i	−0.0429496	+	0.999077i	$0.513675\pi$
$284$	8.78788	−	1.54954i	0.521464	−	0.0919483i
$285$	−1.35104	−	3.32551i	−0.0800287	−	0.196986i
$286$	14.4901	+	2.55500i	0.856817	+	0.151080i
$287$	−1.23337	−	4.39774i	−0.0728035	−	0.259590i
$288$	2.70142	+	1.30473i	0.159183	+	0.0768821i
$289$	−10.7136	−	18.5566i	−0.630214	−	1.09156i
$290$	−0.0687028	+	0.389633i	−0.00403437	+	0.0228800i
$291$	0.824133	+	22.3666i	0.0483115	+	1.31116i
$292$	−1.07576	+	2.95564i	−0.0629544	+	0.172966i
$293$	6.57320	−	5.51557i	0.384010	−	0.322223i	−0.430264	−	0.902703i	$-0.641580\pi$
$293$	6.57320	−	5.51557i	0.384010	−	0.322223i	0.814274	+	0.580480i	$0.197135\pi$
$294$	11.6216	+	3.45505i	0.677788	+	0.201503i
$295$	5.92799	−	2.15761i	0.345141	−	0.125621i
$296$	−4.65137	−	2.68547i	−0.270355	−	0.156090i
$297$	15.6573	−	23.5043i	0.908530	−	1.36386i
$298$	−1.44995	−	2.51138i	−0.0839932	−	0.145480i
$299$	4.27523	−	24.2460i	0.247243	−	1.40218i
$300$	5.55604	−	5.02206i	0.320778	−	0.289949i
$301$	1.69999	−	0.816925i	0.0979859	−	0.0470868i
$302$	5.97740	−	1.05398i	0.343960	−	0.0606495i
$303$	14.7783	−	0.544530i	0.848993	−	0.0312824i
$304$	2.48225	+	0.437688i	0.142367	+	0.0251031i
$305$		−	11.1302i		−	0.637311i
$306$	−5.05721	+	17.8961i	−0.289101	+	1.02305i
$307$	1.44485	−	0.834184i	0.0824618	−	0.0476094i	−0.458202	−	0.888848i	$-0.651506\pi$
$307$	1.44485	−	0.834184i	0.0824618	−	0.0476094i	0.540664	+	0.841239i	$0.318173\pi$
$308$	11.6827	−	8.38453i	0.665686	−	0.477753i
$309$	−19.3824	−	2.68601i	−1.10263	−	0.152802i
$310$	−0.802358	+	0.673258i	−0.0455709	+	0.0382385i
$311$	2.65457	+	15.0548i	0.150527	+	0.853679i	0.962762	+	0.270349i	$0.0871392\pi$
$311$	2.65457	+	15.0548i	0.150527	+	0.853679i	−0.812236	+	0.583329i	$0.801750\pi$
$312$	3.70042	+	2.87964i	0.209495	+	0.163028i
$313$	4.15688	−	4.95397i	0.234961	−	0.280015i	−0.635661	−	0.771968i	$-0.719272\pi$
$313$	4.15688	−	4.95397i	0.234961	−	0.280015i	0.870622	+	0.491953i	$0.163717\pi$
$314$	3.16270	+	5.47795i	0.178481	+	0.309139i
$315$	−4.18495	−	5.00748i	−0.235795	−	0.282140i
$316$	3.82896	−	6.63195i	0.215396	−	0.373077i
$317$	4.78966	+	13.1595i	0.269014	+	0.739111i	0.998481	+	0.0550946i	$0.0175460\pi$
$317$	4.78966	+	13.1595i	0.269014	+	0.739111i	−0.729467	+	0.684016i	$0.760232\pi$
$318$	−10.0567	−	16.0255i	−0.563954	−	0.898665i
$319$	−2.00352	+	1.68115i	−0.112176	+	0.0941265i
$320$	−0.142773	−	0.809707i	−0.00798127	−	0.0452640i
$321$	−4.81195	+	14.9072i	−0.268577	+	0.832036i
$322$	−14.0297	−	19.5485i	−0.781844	−	1.08940i
$323$			15.6248i			0.869386i
$324$	7.91379	−	4.28625i	0.439655	−	0.238125i
$325$	10.1373	−	5.85278i	0.562317	−	0.324654i
$326$	10.6460	−	12.6874i	0.589627	−	0.702690i
$327$	9.22609	−	8.33940i	0.510204	−	0.461170i
$328$	−1.10966	−	1.32244i	−0.0612706	−	0.0730195i
$329$	−4.24642	−	2.90036i	−0.234113	−	0.159902i
$330$	−7.73491	+	0.285004i	−0.425793	+	0.0156890i
$331$	33.4476	−	12.1739i	1.83845	−	0.669140i	0.848225	−	0.529635i	$-0.177671\pi$
$331$	33.4476	−	12.1739i	1.83845	−	0.669140i	0.990221	−	0.139505i	$-0.0445510\pi$
$332$	−15.9615			−0.876000
$333$	−14.6945	+	6.61025i	−0.805252	+	0.362239i
$334$			11.1760i			0.611526i
$335$	−0.642376	+	3.64309i	−0.0350967	+	0.199043i
$336$	4.54043	−	0.620075i	0.247701	−	0.0338279i
$337$	4.61779	+	1.68074i	0.251547	+	0.0915557i	0.464716	−	0.885460i	$-0.346156\pi$
$337$	4.61779	+	1.68074i	0.251547	+	0.0915557i	−0.213169	+	0.977015i	$0.568379\pi$
$338$	−3.64557	−	4.34462i	−0.198293	−	0.236316i
$339$	6.54512	+	16.1105i	0.355482	+	0.875001i
$340$	4.78941	−	1.74320i	0.259742	−	0.0945385i
$341$	−6.92389			−0.374950
$342$	5.41913	−	5.27363i	0.293033	−	0.285165i
$343$	17.7111	−	5.41459i	0.956308	−	0.292360i
$344$	0.458227	−	0.546094i	0.0247060	−	0.0294434i
$345$	0.476892	+	12.9427i	0.0256750	+	0.696810i
$346$	−0.0146257	−	0.0174302i	−0.000786282	−	0.000937054i
$347$	−4.83147	+	13.2744i	−0.259367	+	0.712605i	0.739840	+	0.672783i	$0.234901\pi$
$347$	−4.83147	+	13.2744i	−0.259367	+	0.712605i	−0.999207	+	0.0398220i	$0.987321\pi$
$348$	−0.814918	+	0.174855i	−0.0436842	+	0.00937321i
$349$	−1.89257	−	5.19979i	−0.101307	−	0.278339i	0.878676	−	0.477418i	$-0.158427\pi$
$349$	−1.89257	−	5.19979i	−0.101307	−	0.278339i	−0.979983	+	0.199079i	$0.936205\pi$
$350$	2.83221	−	11.0841i	0.151388	−	0.592469i
$351$	13.4991	−	3.95523i	0.720528	−	0.211115i
$352$	2.71758	−	4.70699i	0.144848	−	0.250883i
$353$	18.0705	+	15.1630i	0.961796	+	0.807042i	0.981244	−	0.192768i	$-0.0617466\pi$
$353$	18.0705	+	15.1630i	0.961796	+	0.807042i	−0.0194486	+	0.999811i	$0.506191\pi$
$354$	8.91133	+	9.85884i	0.473632	+	0.523991i
$355$	−7.22538	+	1.27403i	−0.383483	+	0.0676184i
$356$	2.45107	+	13.9007i	0.129906	+	0.736735i
$357$	8.67294	+	27.0509i	0.459020	+	1.43169i
$358$	−0.659524	−	0.553406i	−0.0348569	−	0.0292484i
$359$	−10.7552	+	6.20951i	−0.567637	+	0.327725i	−0.756205	−	0.654335i	$-0.772949\pi$
$359$	−10.7552	+	6.20951i	−0.567637	+	0.327725i	0.188568	+	0.982060i	$0.439615\pi$
$360$	−2.22110	−	1.07275i	−0.117062	−	0.0565388i
$361$	−6.32343	+	10.9525i	−0.332812	+	0.576448i
$362$	−14.3046	−	12.0030i	−0.751831	−	0.630861i
$363$	−25.3441	−	19.7226i	−1.33022	−	1.03517i
$364$	7.14189	+	0.541209i	0.374337	+	0.0283671i
$365$	0.884492	−	2.43012i	0.0462964	−	0.127198i
$366$	21.7226	−	8.82516i	1.13546	−	0.461298i
$367$	−5.38696	−	14.8006i	−0.281197	−	0.772583i	−0.997221	−	0.0745064i	$-0.976262\pi$
$367$	−5.38696	−	14.8006i	−0.281197	−	0.772583i	0.716023	−	0.698076i	$-0.245960\pi$
$368$	−7.87612	−	4.54728i	−0.410571	−	0.237043i
$369$	−5.16492	+	0.381136i	−0.268875	+	0.0198412i
$370$	3.82435	+	2.20799i	0.198818	+	0.114788i
$371$	−26.3328	−	11.9083i	−1.36713	−	0.618249i
$372$	−1.95019	−	1.03213i	−0.101113	−	0.0535133i
$373$	10.3433	+	3.76465i	0.535556	+	0.194926i	0.595617	−	0.803268i	$-0.296907\pi$
$373$	10.3433	+	3.76465i	0.535556	+	0.194926i	−0.0600616	+	0.998195i	$0.519130\pi$
$374$	31.6605	+	11.5235i	1.63713	+	0.595865i
$375$	−9.85052	+	8.90381i	−0.508678	+	0.459791i
$376$	−1.91411	−	0.337510i	−0.0987128	−	0.0174057i
$377$	−1.30267			−0.0670910
$378$	6.45480	−	12.1382i	0.331999	−	0.624321i
$379$	−17.5225			−0.900069			−0.450035	−	0.893011i	$-0.648588\pi$
$379$	−17.5225			−0.900069			−0.450035	+	0.893011i	$0.648588\pi$
$380$	−2.04090	−	0.359866i	−0.104696	−	0.0184607i
$381$	28.6538	+	9.24929i	1.46798	+	0.473855i
$382$	6.47407	+	2.35637i	0.331242	+	0.120562i
$383$	3.66562	+	1.33418i	0.187304	+	0.0681732i	0.433970	−	0.900928i	$-0.357113\pi$
$383$	3.66562	+	1.33418i	0.187304	+	0.0681732i	−0.246665	+	0.969101i	$0.579335\pi$
$384$	1.46709	−	0.920670i	0.0748673	−	0.0469828i
$385$	−9.60553	+	6.89375i	−0.489543	+	0.351338i
$386$	18.4958	+	10.6786i	0.941413	+	0.543525i
$387$	−0.525359	−	2.07309i	−0.0267055	−	0.105381i
$388$	11.1909	+	6.46107i	0.568132	+	0.328011i
$389$	9.65453	+	26.5256i	0.489504	+	1.34490i	0.901130	+	0.433549i	$0.142739\pi$
$389$	9.65453	+	26.5256i	0.489504	+	1.34490i	−0.411626	+	0.911353i	$0.635039\pi$
$390$	−3.04248	−	2.36764i	−0.154062	−	0.119890i
$391$	19.2820	−	52.9770i	0.975135	−	2.67916i
$392$	5.25620	−	4.62303i	0.265478	−	0.233498i
$393$	25.9869	−	10.5576i	1.31087	−	0.532559i
$394$	0.680470	+	0.570982i	0.0342816	+	0.0287657i
$395$	−3.14817	+	5.45278i	−0.158401	+	0.274359i
$396$	−6.68928	−	14.8702i	−0.336149	−	0.747255i
$397$	−30.7510	+	17.7541i	−1.54335	+	0.891052i	−0.544722	+	0.838616i	$0.683365\pi$
$397$	−30.7510	+	17.7541i	−1.54335	+	0.891052i	−0.998624	+	0.0524352i	$0.983302\pi$
$398$	−2.95028	−	2.47558i	−0.147884	−	0.124090i
$399$	2.44553	−	11.2887i	0.122430	−	0.565143i
$400$	−0.750853	−	4.25830i	−0.0375426	−	0.212915i
$401$	−4.85576	+	0.856202i	−0.242485	+	0.0427567i	−0.293570	−	0.955938i	$-0.594843\pi$
$401$	−4.85576	+	0.856202i	−0.242485	+	0.0427567i	0.0510846	+	0.998694i	$0.483732\pi$
$402$	−7.61954	+	1.63491i	−0.380028	+	0.0815417i
$403$	−2.64180	−	2.21673i	−0.131597	−	0.110423i
$404$	4.26903	−	7.39418i	0.212392	−	0.367874i
$405$	−6.50670	+	3.52415i	−0.323321	+	0.175116i
$406$	−0.889715	+	0.910657i	−0.0441558	+	0.0451951i
$407$	9.98423	+	27.4314i	0.494900	+	1.35973i
$408$	7.19975	+	7.96527i	0.356441	+	0.394340i
$409$	−12.9433	+	35.5614i	−0.640004	+	1.75840i	0.0117089	+	0.999931i	$0.496273\pi$
$409$	−12.9433	+	35.5614i	−0.640004	+	1.75840i	−0.651713	+	0.758466i	$0.725949\pi$
$410$	0.912359	+	1.08731i	0.0450582	+	0.0536983i
$411$	−4.46542	−	2.36330i	−0.220263	−	0.116573i
$412$	−7.26181	+	8.65429i	−0.357764	+	0.426366i
$413$	19.6680	+	5.02558i	0.967799	+	0.247293i
$414$	−24.8820	+	11.1931i	−1.22288	+	0.550109i
$415$	13.1235			0.644207
$416$	2.54386	−	0.925889i	0.124723	−	0.0453955i
$417$	−8.83335	+	11.3511i	−0.432571	+	0.555866i
$418$	−8.80590	−	10.4945i	−0.430711	−	0.513301i
$419$	−10.6674	−	3.88261i	−0.521136	−	0.189678i	0.0680403	−	0.997683i	$-0.478325\pi$
$419$	−10.6674	−	3.88261i	−0.521136	−	0.189678i	−0.589176	+	0.808005i	$0.700548\pi$
$420$	−3.73313	+	0.509825i	−0.182158	+	0.0248769i
$421$	5.66345	−	32.1190i	0.276020	−	1.56538i	−0.459685	−	0.888082i	$-0.652038\pi$
$421$	5.66345	−	32.1190i	0.276020	−	1.56538i	0.735704	−	0.677303i	$-0.236851\pi$
$422$		−	4.17716i		−	0.203341i
$423$	−4.17880	+	4.06660i	−0.203180	+	0.197725i
$424$	−10.9233			−0.530481
$425$	25.1878	−	9.16761i	1.22179	−	0.444695i
$426$	−8.21555	−	13.0915i	−0.398045	−	0.634287i
$427$	20.2004	−	29.5755i	0.977567	−	1.43126i
$428$	5.81333	+	6.92805i	0.280998	+	0.334880i
$429$	−5.34651	−	24.9176i	−0.258132	−	1.20303i
$430$	−0.376754	+	0.448998i	−0.0181687	+	0.0216526i
$431$	−3.02295	+	1.74530i	−0.145610	+	0.0840681i	−0.571035	−	0.820926i	$-0.693458\pi$
$431$	−3.02295	+	1.74530i	−0.145610	+	0.0840681i	0.425425	+	0.904994i	$0.360125\pi$
$432$	0.332552	−	5.18550i	0.0159999	−	0.249487i
$433$			29.5354i			1.41938i	0.704514	+	0.709690i	$0.251165\pi$
$433$			29.5354i			1.41938i	−0.704514	+	0.709690i	$0.748835\pi$
$434$	−3.35397	+	0.332787i	−0.160996	+	0.0159743i
$435$	0.670024	−	0.143766i	0.0321252	−	0.00689303i
$436$	−1.24683	−	7.07113i	−0.0597124	−	0.338646i
$437$	−17.5602	+	14.7348i	−0.840018	+	0.704859i
$438$	5.44417	−	0.200599i	0.260132	−	0.00958497i
$439$	3.51126	+	9.64710i	0.167583	+	0.460431i	0.994848	−	0.101382i	$-0.0323263\pi$
$439$	3.51126	+	9.64710i	0.167583	+	0.460431i	−0.827264	+	0.561813i	$0.810104\pi$
$440$	−2.23439	+	3.87008i	−0.106520	+	0.184499i
$441$	−2.03219	−	20.9014i	−0.0967710	−	0.995307i
$442$	8.39068	+	14.5331i	0.399104	+	0.691269i
$443$	9.33660	−	11.1269i	0.443595	−	0.528656i	−0.497198	−	0.867637i	$-0.665638\pi$
$443$	9.33660	−	11.1269i	0.443595	−	0.528656i	0.940793	+	0.338981i	$0.110082\pi$
$444$	−1.27697	+	9.21468i	−0.0606024	+	0.437309i
$445$	−2.01526	−	11.4291i	−0.0955326	−	0.541792i
$446$	14.4401	−	12.1167i	0.683759	−	0.573742i
$447$	−3.08471	+	3.96393i	−0.145902	+	0.187488i
$448$	1.09018	−	2.41071i	0.0515060	−	0.113895i
$449$	−33.5545	+	19.3727i	−1.58353	+	0.914254i	−0.589196	+	0.807990i	$0.700555\pi$
$449$	−33.5545	+	19.3727i	−1.58353	+	0.914254i	−0.994338	+	0.106263i	$0.966111\pi$
$450$	−11.6809	−	5.64165i	−0.550644	−	0.265950i
$451$			9.38284i			0.441821i
$452$	9.88716	+	1.74337i	0.465053	+	0.0820014i
$453$	−5.58811	−	8.90469i	−0.262552	−	0.418379i
$454$	8.85036	−	1.56056i	0.415368	−	0.0732406i
$455$	−5.87205	−	0.444981i	−0.275286	−	0.0208610i
$456$	−0.915893	−	4.26855i	−0.0428906	−	0.199893i
$457$	−4.89599	+	27.7665i	−0.229025	+	1.29886i	0.625815	+	0.779971i	$0.284766\pi$
$457$	−4.89599	+	27.7665i	−0.229025	+	1.29886i	−0.854840	+	0.518892i	$0.826345\pi$
$458$	−9.80153	−	16.9768i	−0.457996	−	0.793272i
$459$	32.0144	−	3.55172i	1.49430	−	0.165780i
$460$	6.47573	+	3.73876i	0.301932	+	0.174321i
$461$	−32.8029	+	11.9393i	−1.52779	+	0.556068i	−0.963078	−	0.269223i	$-0.913233\pi$
$461$	−32.8029	+	11.9393i	−1.52779	+	0.556068i	−0.564707	+	0.825291i	$0.691011\pi$
$462$	−21.0707	−	13.2810i	−0.980300	−	0.617886i
$463$	18.4626	−	15.4920i	0.858031	−	0.719974i	−0.103512	−	0.994628i	$-0.533008\pi$
$463$	18.4626	−	15.4920i	0.858031	−	0.719974i	0.961543	+	0.274654i	$0.0885635\pi$
$464$	−0.164581	+	0.452182i	−0.00764047	+	0.0209920i
$465$	1.60344	+	0.848613i	0.0743578	+	0.0393535i
$466$	−4.36946	+	24.7805i	−0.202411	+	1.14793i
$467$	−0.465355	−	0.806018i	−0.0215341	−	0.0372981i	0.855058	−	0.518533i	$-0.173522\pi$
$467$	−0.465355	−	0.806018i	−0.0215341	−	0.0372981i	−0.876592	+	0.481235i	$0.840188\pi$
$468$	2.20850	−	7.81530i	0.102088	−	0.361263i
$469$	−8.31889	+	8.51470i	−0.384131	+	0.393172i
$470$	1.57378	+	0.277500i	0.0725930	+	0.0128001i
$471$	6.72851	−	8.64633i	0.310034	−	0.398402i
$472$	7.55608	−	1.33234i	0.347797	−	0.0613260i
$473$	−3.81573	+	0.672816i	−0.175447	+	0.0309361i
$474$	−13.1384	−	1.82071i	−0.603464	−	0.0836282i
$475$	−10.7332	−	1.89256i	−0.492474	−	0.0868364i
$476$	15.8904	+	4.06033i	0.728335	+	0.186105i
$477$	−19.1595	+	26.5853i	−0.877254	+	1.21726i
$478$	3.33732	+	5.78042i	0.152646	+	0.264390i
$479$	2.70518	−	15.3418i	0.123603	−	0.700987i	−0.858525	−	0.512772i	$-0.828619\pi$
$479$	2.70518	−	15.3418i	0.123603	−	0.700987i	0.982128	−	0.188215i	$-0.0602702\pi$
$480$	−1.20624	+	0.756974i	−0.0550572	+	0.0345510i
$481$	−4.97290	+	13.6629i	−0.226745	+	0.622976i
$482$	−8.57155	+	7.19238i	−0.390423	+	0.327604i
$483$	−22.2228	+	35.2573i	−1.01117	+	1.60426i
$484$	−17.4228	+	6.34139i	−0.791946	+	0.288245i
$485$	−9.20115	−	5.31228i	−0.417803	−	0.241218i
$486$	−12.0373	−	9.90477i	−0.546021	−	0.449290i
$487$	0.587831	+	1.01815i	0.0266372	+	0.0461369i	0.879037	−	0.476754i	$-0.158187\pi$
$487$	0.587831	+	1.01815i	0.0266372	+	0.0461369i	−0.852400	+	0.522891i	$0.824853\pi$
$488$	2.35069	−	13.3314i	0.106411	−	0.603485i
$489$	−27.2996	−	8.81217i	−1.23453	−	0.398500i
$490$	−4.32164	+	3.80105i	−0.195232	+	0.171714i
$491$	19.5154	−	3.44108i	0.880716	−	0.155294i	0.285037	−	0.958517i	$-0.407994\pi$
$491$	19.5154	−	3.44108i	0.880716	−	0.155294i	0.595679	+	0.803223i	$0.296883\pi$
$492$	−1.39868	+	2.64278i	−0.0630572	+	0.119146i
$493$	−2.93764	−	0.517985i	−0.132305	−	0.0233289i
$494$		−	6.82341i		−	0.307000i
$495$	5.49992	+	12.2262i	0.247203	+	0.549528i
$496$	−1.10324	+	0.636954i	−0.0495368	+	0.0286001i
$497$	−21.5118	−	9.72813i	−0.964937	−	0.436366i
$498$	10.4057	+	25.6130i	0.466290	+	1.14775i
$499$	0.836937	−	0.702273i	0.0374664	−	0.0314381i	−0.623862	−	0.781534i	$-0.714437\pi$
$499$	0.836937	−	0.702273i	0.0374664	−	0.0314381i	0.661329	+	0.750096i	$0.269993\pi$
$500$	1.33122	+	7.54970i	0.0595338	+	0.337633i
$501$	17.9340	−	7.28594i	0.801230	−	0.325512i
$502$	2.75752	−	3.28629i	0.123074	−	0.146674i
$503$	2.10079	+	3.63867i	0.0936694	+	0.162240i	0.909053	−	0.416682i	$-0.136807\pi$
$503$	2.10079	+	3.63867i	0.0936694	+	0.162240i	−0.815383	+	0.578922i	$0.803474\pi$
$504$	−3.95504	−	6.88169i	−0.176172	−	0.306535i
$505$	−3.50999	+	6.07948i	−0.156193	+	0.270533i
$506$	16.9062	+	46.4494i	0.751572	+	2.06493i
$507$	−4.59509	+	8.68234i	−0.204075	+	0.385596i
$508$	13.3168	−	11.1741i	0.590835	−	0.495770i
$509$	−4.94895	−	28.0669i	−0.219358	−	1.24404i	−0.873181	−	0.487396i	$-0.837947\pi$
$509$	−4.94895	−	28.0669i	−0.219358	−	1.24404i	0.653823	−	0.756648i	$-0.273164\pi$
$510$	−5.91962	−	6.54903i	−0.262125	−	0.289996i
$511$	6.76080	−	4.85212i	0.299080	−	0.214645i
$512$		−	1.00000i		−	0.0441942i
$513$	−11.9954	−	5.25796i	−0.529608	−	0.232144i
$514$	2.43372	−	1.40511i	0.107347	−	0.0619766i
$515$	5.97065	−	7.11554i	0.263098	−	0.313548i
$516$	−1.17504	−	0.379295i	−0.0517281	−	0.0166975i
$517$	6.79041	+	8.09249i	0.298642	+	0.355907i
$518$	6.15487	+	12.8081i	0.270429	+	0.562754i
$519$	−0.0184350	+	0.0348327i	−0.000809208	+	0.00152899i
$520$	−2.09156	+	0.761265i	−0.0917209	+	0.0333837i
$521$	−22.6918			−0.994145			−0.497072	−	0.867709i	$-0.665592\pi$
$521$	−22.6918			−0.994145			−0.497072	+	0.867709i	$0.665592\pi$
$522$	0.811852	+	1.19369i	0.0355338	+	0.0522464i
$523$		−	25.1845i		−	1.10124i	−0.834755	−	0.550621i	$-0.814391\pi$
$523$		−	25.1845i		−	1.10124i	0.834755	−	0.550621i	$-0.185609\pi$
$524$	2.81214	−	15.9484i	0.122849	−	0.696710i
$525$	−19.6328	+	2.68120i	−0.856845	+	0.117017i
$526$	18.6004	+	6.77001i	0.811018	+	0.295186i
$527$	−5.07604	−	6.04939i	−0.221116	−	0.263516i
$528$	−9.32486	−	1.29224i	−0.405812	−	0.0562375i
$529$	56.1099	−	20.4224i	2.43956	−	0.887928i
$530$	8.98110			0.390114
$531$	10.0107	−	20.7270i	0.434429	−	0.899477i
$532$	−4.77003	−	4.66034i	−0.206807	−	0.202051i
$533$	−3.00398	+	3.58000i	−0.130117	+	0.155067i
$534$	20.7082	−	12.9954i	0.896132	−	0.562365i
$535$	−4.77971	−	5.69623i	−0.206645	−	0.246270i
$536$	−1.53884	+	4.22793i	−0.0664678	+	0.182619i
$537$	−0.458079	+	1.41910i	−0.0197676	+	0.0612388i
$538$	4.62192	+	12.6986i	0.199265	+	0.547476i
$539$	−38.0358	+	0.884987i	−1.63832	+	0.0381191i
$540$	−0.273423	+	4.26351i	−0.0117663	+	0.183472i
$541$	10.0862	−	17.4698i	0.433640	−	0.751086i	−0.563544	−	0.826086i	$-0.690562\pi$
$541$	10.0862	−	17.4698i	0.433640	−	0.751086i	0.997184	+	0.0749999i	$0.0238957\pi$
$542$	−8.63331	−	7.24421i	−0.370832	−	0.311165i
$543$	−9.93538	+	30.7793i	−0.426368	+	1.32086i
$544$	6.10480	−	1.07644i	0.261741	−	0.0461520i
$545$	1.02514	+	5.81387i	0.0439123	+	0.249039i
$546$	−3.78751	−	11.8133i	−0.162090	−	0.505561i
$547$	21.1774	+	17.7699i	0.905479	+	0.759787i	0.971254	−	0.238047i	$-0.0765073\pi$
$547$	21.1774	+	17.7699i	0.905479	+	0.759787i	−0.0657744	+	0.997835i	$0.520952\pi$
$548$	−2.52612	+	1.45846i	−0.107911	+	0.0623022i
$549$	−28.3231	−	29.1045i	−1.20880	−	1.24215i
$550$	−11.7508	+	20.3530i	−0.501055	+	0.867853i
$551$	0.929128	+	0.779631i	0.0395822	+	0.0332134i
$552$	−2.16228	+	15.6031i	−0.0920329	+	0.664113i
$553$	−18.2618	+	8.77565i	−0.776572	+	0.373179i
$554$	9.85683	−	27.0814i	0.418777	−	1.15058i
$555$	1.04992	−	7.57630i	0.0445668	−	0.321596i
$556$	2.84018	+	7.80333i	0.120450	+	0.330935i
$557$	−19.7734	−	11.4162i	−0.837824	−	0.483718i	0.0186999	−	0.999825i	$-0.494047\pi$
$557$	−19.7734	−	11.4162i	−0.837824	−	0.483718i	−0.856524	+	0.516107i	$0.827381\pi$
$558$	−0.384856	+	3.80229i	−0.0162922	+	0.160964i
$559$	−1.67129	−	0.964919i	−0.0706880	−	0.0408117i
$560$	−0.896342	+	1.98208i	−0.0378774	+	0.0837582i
$561$	−2.14879	−	58.3174i	−0.0907221	−	2.46216i
$562$	−4.88427	−	1.77773i	−0.206031	−	0.0749890i
$563$	−7.32813	−	2.66722i	−0.308844	−	0.112410i	0.182948	−	0.983123i	$-0.441436\pi$
$563$	−7.32813	−	2.66722i	−0.308844	−	0.112410i	−0.491792	+	0.870712i	$0.663658\pi$
$564$	0.706263	+	3.29157i	0.0297390	+	0.138600i
$565$	−8.12921	−	1.43340i	−0.341998	−	0.0603035i
$566$	7.26013			0.305166
$567$	−23.6859	−	2.44469i	−0.994716	−	0.102667i
$568$	−8.92344			−0.374419
$569$	15.7689	+	2.78048i	0.661065	+	0.116564i	0.494108	−	0.869401i	$-0.335495\pi$
$569$	15.7689	+	2.78048i	0.661065	+	0.116564i	0.166957	+	0.985964i	$0.446606\pi$
$570$	0.753046	+	3.50960i	0.0315416	+	0.147001i
$571$	−26.1393	−	9.51392i	−1.09390	−	0.398145i	−0.268833	−	0.963187i	$-0.586638\pi$
$571$	−26.1393	−	9.51392i	−1.09390	−	0.398145i	−0.825062	+	0.565042i	$0.808860\pi$
$572$	−13.8263	−	5.03236i	−0.578106	−	0.210413i
$573$	−0.439393	−	11.9250i	−0.0183559	−	0.498173i
$574$	0.450972	+	4.54510i	0.0188232	+	0.189709i
$575$	34.0563	+	19.6624i	1.42024	+	0.819978i
$576$	−2.43382	−	1.75401i	−0.101409	−	0.0730836i
$577$	9.99276	+	5.76932i	0.416004	+	0.240180i	0.693366	−	0.720585i	$-0.256127\pi$
$577$	9.99276	+	5.76932i	0.416004	+	0.240180i	−0.277362	+	0.960765i	$0.589460\pi$
$578$	7.32856	+	20.1351i	0.304828	+	0.837508i
$579$	5.07778	−	36.6415i	0.211025	−	1.52277i
$580$	0.135318	−	0.371783i	0.00561878	−	0.0154375i
$581$	34.8723	+	23.8182i	1.44675	+	0.988145i
$582$	3.07231	−	22.1699i	0.127352	−	0.918974i
$583$	45.4799	+	38.1622i	1.88358	+	1.58052i
$584$	1.57266	−	2.72393i	0.0650773	−	0.112717i
$585$	−1.81583	+	6.42573i	−0.0750753	+	0.265671i
$586$	−7.43111	+	4.29035i	−0.306976	+	0.177233i
$587$	20.1941	+	16.9449i	0.833499	+	0.699389i	0.956092	−	0.293068i	$-0.0946763\pi$
$587$	20.1941	+	16.9449i	0.833499	+	0.699389i	−0.122592	+	0.992457i	$0.539121\pi$
$588$	−10.8451	−	5.42064i	−0.447245	−	0.223543i
$589$	0.557573	+	3.16215i	0.0229744	+	0.130294i
$590$	−6.21260	+	1.09545i	−0.255769	+	0.0450989i
$591$	0.472627	−	1.46417i	0.0194413	−	0.0602280i
$592$	4.11438	+	3.45237i	0.169100	+	0.141892i
$593$	−6.64043	+	11.5016i	−0.272690	+	0.472313i	−0.969550	−	0.244895i	$-0.921247\pi$
$593$	−6.64043	+	11.5016i	−0.272690	+	0.472313i	0.696860	+	0.717207i	$0.254580\pi$
$594$	−19.5009	+	20.4284i	−0.800134	+	0.838187i
$595$	−13.0651	−	3.33839i	−0.535615	−	0.136861i
$596$	0.991822	+	2.72501i	0.0406266	+	0.111621i
$597$	−2.04915	+	6.34815i	−0.0838661	+	0.259812i
$598$	−8.42055	+	23.1353i	−0.344342	+	0.946072i
$599$	25.6831	+	30.6079i	1.04938	+	1.25061i	0.967208	+	0.253987i	$0.0817422\pi$
$599$	25.6831	+	30.6079i	1.04938	+	1.25061i	0.0821749	+	0.996618i	$0.473813\pi$
$600$	−6.34370	+	3.98097i	−0.258981	+	0.162522i
$601$	18.8702	−	22.4887i	0.769733	−	0.917332i	−0.228689	−	0.973500i	$-0.573444\pi$
$601$	18.8702	−	22.4887i	0.769733	−	0.917332i	0.998421	+	0.0561681i	$0.0178883\pi$
$602$	−1.81602	+	0.509313i	−0.0740156	+	0.0207581i
$603$	7.59087	+	11.1611i	0.309124	+	0.454514i
$604$	−6.06961			−0.246969
$605$	14.3250	−	5.21388i	0.582394	−	0.211974i
$606$	−14.6484	−	2.02997i	−0.595049	−	0.0824620i
$607$	−14.9831	−	17.8562i	−0.608146	−	0.724760i	0.370838	−	0.928697i	$-0.379070\pi$
$607$	−14.9831	−	17.8562i	−0.608146	−	0.724760i	−0.978984	+	0.203938i	$0.934626\pi$
$608$	−2.36853	−	0.862076i	−0.0960568	−	0.0349618i
$609$	2.04134	+	0.834026i	0.0827192	+	0.0337965i
$610$	−1.93273	+	10.9611i	−0.0782540	+	0.443801i
$611$			5.26167i			0.212864i
$612$	8.08800	−	16.7460i	0.326938	−	0.676919i
$613$	2.81575			0.113727			0.0568635	−	0.998382i	$-0.481890\pi$
$613$	2.81575			0.113727			0.0568635	+	0.998382i	$0.481890\pi$
$614$	−1.56775	+	0.570615i	−0.0632693	+	0.0230282i
$615$	1.14999	−	2.17289i	0.0463720	−	0.0876192i
$616$	−12.9612	+	6.22846i	−0.522222	+	0.250952i
$617$	8.38957	+	9.99830i	0.337751	+	0.402516i	0.908010	−	0.418949i	$-0.137601\pi$
$617$	8.38957	+	9.99830i	0.337751	+	0.402516i	−0.570258	+	0.821465i	$0.693157\pi$
$618$	18.6215	+	6.01092i	0.749067	+	0.241795i
$619$	7.12539	−	8.49171i	0.286394	−	0.341311i	−0.603597	−	0.797290i	$-0.706266\pi$
$619$	7.12539	−	8.49171i	0.286394	−	0.341311i	0.889991	+	0.455979i	$0.150711\pi$
$620$	0.907079	−	0.523702i	0.0364292	−	0.0210324i
$621$	34.1825	+	32.6306i	1.37170	+	1.30942i
$622$		−	15.2870i		−	0.612954i
$623$	15.3880	−	34.0274i	0.616507	−	1.36328i
$624$	−3.14416	−	3.47847i	−0.125867	−	0.139250i
$625$	2.65974	+	15.0841i	0.106390	+	0.603366i
$626$	−4.95397	+	4.15688i	−0.198001	+	0.166142i
$627$	−11.0995	+	20.9722i	−0.443270	+	0.837551i
$628$	−2.16341	−	5.94393i	−0.0863296	−	0.237189i
$629$	−16.6472	+	28.8337i	−0.663766	+	1.14968i
$630$	3.25183	+	5.65811i	0.129556	+	0.225425i
$631$	−0.130536	−	0.226094i	−0.00519654	−	0.00900067i	0.863415	−	0.504494i	$-0.168321\pi$
$631$	−0.130536	−	0.226094i	−0.00519654	−	0.00900067i	−0.868612	+	0.495493i	$0.834987\pi$
$632$	−4.92242	+	5.86631i	−0.195803	+	0.233349i
$633$	−6.70301	+	2.72320i	−0.266421	+	0.108237i
$634$	−2.43178	−	13.7913i	−0.0965782	−	0.547722i
$635$	−10.9490	+	9.18731i	−0.434498	+	0.364587i
$636$	7.12116	+	17.5284i	0.282372	+	0.695045i
$637$	−14.7958	−	11.8398i	−0.586232	−	0.469108i
$638$	2.26501	−	1.30771i	0.0896727	−	0.0517725i
$639$	−15.6518	+	21.7180i	−0.619175	+	0.859151i
$640$			0.822198i			0.0325002i
$641$	41.4786	+	7.31379i	1.63831	+	0.288877i	0.915543	−	0.402219i	$-0.131761\pi$
$641$	41.4786	+	7.31379i	1.63831	+	0.288877i	0.722762	+	0.691097i	$0.242872\pi$
$642$	7.32745	−	13.8451i	0.289191	−	0.546422i
$643$	29.3760	−	5.17978i	1.15848	−	0.204271i	0.438803	−	0.898583i	$-0.355403\pi$
$643$	29.3760	−	5.17978i	1.15848	−	0.204271i	0.719673	+	0.694313i	$0.244292\pi$
$644$	10.4220	+	21.6878i	0.410683	+	0.854618i
$645$	0.966112	+	0.311856i	0.0380406	+	0.0122793i
$646$	2.71321	−	15.3874i	0.106750	−	0.605409i
$647$	4.24107	+	7.34574i	0.166734	+	0.288791i	0.937270	−	0.348606i	$-0.113345\pi$
$647$	4.24107	+	7.34574i	0.166734	+	0.288791i	−0.770536	+	0.637396i	$0.780011\pi$
$648$	−8.53786	+	2.84692i	−0.335399	+	0.111838i
$649$	−36.1150	−	20.8510i	−1.41764	−	0.818475i
$650$	−10.9996	+	4.00354i	−0.431441	+	0.157032i
$651$	2.72055	+	5.16510i	0.106627	+	0.202436i
$652$	−12.6874	+	10.6460i	−0.496877	+	0.416929i
$653$	1.84163	−	5.05983i	0.0720685	−	0.198006i	−0.898428	−	0.439120i	$-0.855290\pi$
$653$	1.84163	−	5.05983i	0.0720685	−	0.198006i	0.970497	+	0.241113i	$0.0775126\pi$
$654$	−10.5341	+	6.61061i	−0.411914	+	0.258495i
$655$	−2.31213	+	13.1128i	−0.0903426	+	0.512358i
$656$	0.863161	+	1.49504i	0.0337008	+	0.0583714i
$657$	−3.87109	−	8.60537i	−0.151025	−	0.335727i
$658$	3.67827	+	3.59368i	0.143394	+	0.140096i
$659$	−38.1798	−	6.73214i	−1.48728	−	0.262247i	−0.629794	−	0.776762i	$-0.716861\pi$
$659$	−38.1798	−	6.73214i	−1.48728	−	0.262247i	−0.857481	+	0.514515i	$0.827972\pi$
$660$	7.66689	+	1.06248i	0.298433	+	0.0413569i
$661$	14.0976	−	2.48578i	0.548332	−	0.0966858i	0.107383	−	0.994218i	$-0.465753\pi$
$661$	14.0976	−	2.48578i	0.548332	−	0.0966858i	0.440949	+	0.897532i	$0.354642\pi$
$662$	−35.0534	+	6.18087i	−1.36239	+	0.240226i
$663$	17.8508	−	22.9388i	0.693269	−	0.890871i
$664$	15.7190	+	2.77168i	0.610015	+	0.107562i
$665$	3.92191	+	3.83172i	0.152085	+	0.148588i
$666$	15.6191	−	3.95815i	0.605228	−	0.153375i
$667$	−2.18816	−	3.79000i	−0.0847259	−	0.146750i
$668$	1.94070	−	11.0063i	0.0750879	−	0.425845i
$669$	−28.8573	−	15.2726i	−1.11569	−	0.590471i
$670$	1.26523	−	3.47620i	0.0488802	−	0.134297i
$671$	−56.3626	+	47.2938i	−2.17585	+	1.82576i
$672$	−4.57913	−	0.177783i	−0.176644	−	0.00685812i
$673$	−16.6155	+	6.04756i	−0.640481	+	0.233116i	−0.641787	−	0.766883i	$-0.721807\pi$
$673$	−16.6155	+	6.04756i	−0.640481	+	0.233116i	0.00130557	+	0.999999i	$0.499584\pi$
$674$	−4.25578	−	2.45708i	−0.163927	−	0.0946431i
$675$	−1.43795	+	22.4220i	−0.0553467	+	0.863025i
$676$	2.83575	+	4.91167i	0.109067	+	0.188910i
$677$	0.985118	−	5.58688i	0.0378611	−	0.214721i	−0.960008	−	0.279974i	$-0.909674\pi$
$677$	0.985118	−	5.58688i	0.0378611	−	0.214721i	0.997869	+	0.0652526i	$0.0207853\pi$
$678$	−3.64813	−	17.0023i	−0.140106	−	0.652968i
$679$	−14.8082	−	30.8154i	−0.568288	−	1.18259i
$680$	−5.01936	+	0.885048i	−0.192483	+	0.0339400i
$681$	−8.27396	−	13.1846i	−0.317059	−	0.505235i
$682$	6.81870	+	1.20232i	0.261102	+	0.0460392i
$683$		−	37.7579i		−	1.44477i	−0.691492	−	0.722384i	$-0.743046\pi$
$683$		−	37.7579i		−	1.44477i	0.691492	−	0.722384i	$-0.256954\pi$
$684$	−6.25256	+	4.25249i	−0.239073	+	0.162598i
$685$	2.07697	−	1.19914i	0.0793570	−	0.0458168i
$686$	−18.3822	+	2.25683i	−0.701837	+	0.0861661i
$687$	−20.8524	+	26.7959i	−0.795568	+	1.02233i
$688$	−0.546094	+	0.458227i	−0.0208196	+	0.0174698i
$689$	5.13489	+	29.1214i	0.195624	+	1.10944i
$690$	1.77783	−	12.8289i	0.0676806	−	0.488386i
$691$	15.1772	−	18.0875i	0.577370	−	0.688082i	−0.395756	−	0.918356i	$-0.629517\pi$
$691$	15.1772	−	18.0875i	0.577370	−	0.688082i	0.973126	+	0.230273i	$0.0739619\pi$
$692$	0.0113768	+	0.0197051i	0.000432480	+	0.000749077i
$693$	−7.57513	+	42.4700i	−0.287755	+	1.61330i
$694$	7.06314	−	12.2337i	0.268113	−	0.464386i
$695$	−2.33519	−	6.41588i	−0.0885788	−	0.243368i
$696$	0.832901	−	0.0306895i	0.0315710	−	0.00116328i
$697$	−8.19777	+	6.87874i	−0.310513	+	0.260551i
$698$	0.960883	+	5.44944i	0.0363700	+	0.206264i
$699$	42.6132	−	9.14342i	1.61178	−	0.345836i
$700$	−4.71391	+	10.4239i	−0.178169	+	0.393986i
$701$		−	8.37469i		−	0.316308i	−0.987414	−	0.158154i	$-0.949446\pi$
$701$		−	8.37469i		−	0.316308i	0.987414	−	0.158154i	$-0.0505542\pi$
$702$	−13.9808	+	1.55105i	−0.527672	+	0.0585407i
$703$	11.7240	−	6.76884i	0.442178	−	0.255292i
$704$	−3.49365	+	4.16357i	−0.131672	+	0.156921i
$705$	−0.580688	−	2.70632i	−0.0218700	−	0.101926i
$706$	−15.1630	−	18.0705i	−0.570665	−	0.680092i
$707$	−20.3607	+	9.78426i	−0.765743	+	0.367975i
$708$	−7.06398	−	11.2565i	−0.265481	−	0.423045i
$709$	−13.8446	+	5.03903i	−0.519945	+	0.189245i	−0.588643	−	0.808393i	$-0.700338\pi$
$709$	−13.8446	+	5.03903i	−0.519945	+	0.189245i	0.0686981	+	0.997637i	$0.478115\pi$
$710$	7.33684			0.275347
$711$	5.64356	+	22.2698i	0.211650	+	0.835183i
$712$		−	14.1151i		−	0.528987i
$713$	2.01182	−	11.4096i	0.0753433	−	0.427293i
$714$	−3.84383	−	28.1460i	−0.143852	−	1.05334i
$715$	11.3680	+	4.13760i	0.425137	+	0.154737i
$716$	0.553406	+	0.659524i	0.0206818	+	0.0246476i
$717$	7.10002	−	9.12373i	0.265155	−	0.340732i
$718$	11.6701	−	4.24755i	0.435522	−	0.158517i
$719$	−1.16270			−0.0433612			−0.0216806	−	0.999765i	$-0.506902\pi$
$719$	−1.16270			−0.0433612			−0.0216806	+	0.999765i	$0.506902\pi$
$720$	2.00108	+	1.44214i	0.0745758	+	0.0537454i
$721$	28.7796	−	8.07140i	1.07181	−	0.300595i
$722$	8.12925	−	9.68806i	0.302539	−	0.360552i
$723$	17.1295	+	9.06568i	0.637052	+	0.337156i
$724$	12.0030	+	14.3046i	0.446086	+	0.531625i
$725$	0.711646	−	1.95523i	0.0264299	−	0.0726154i
$726$	21.5343	+	23.8239i	0.799211	+	0.884188i
$727$	−4.85751	−	13.3459i	−0.180155	−	0.494972i	0.816439	−	0.577431i	$-0.195945\pi$
$727$	−4.85751	−	13.3459i	−0.180155	−	0.494972i	−0.996594	+	0.0824592i	$0.973723\pi$
$728$	−6.93941	−	1.77316i	−0.257192	−	0.0657178i
$729$	−8.04659	+	25.7731i	−0.298022	+	0.954559i
$730$	−1.29304	+	2.23961i	−0.0478576	+	0.0828918i
$731$	−3.38522	−	2.84054i	−0.125207	−	0.105061i
$732$	−22.9251	+	4.91898i	−0.847336	+	0.181811i
$733$	11.8038	−	2.08133i	0.435984	−	0.0768758i	0.0486515	−	0.998816i	$-0.484508\pi$
$733$	11.8038	−	2.08133i	0.435984	−	0.0768758i	0.387333	+	0.921940i	$0.373397\pi$
$734$	2.73503	+	15.5111i	0.100952	+	0.572526i
$735$	8.91684	+	4.45684i	0.328903	+	0.164393i
$736$	6.96683	+	5.84587i	0.256801	+	0.215482i
$737$	21.1780	−	12.2271i	0.780102	−	0.450392i
$738$	5.15264	+	0.521533i	0.189671	+	0.0191979i
$739$	−15.9859	+	27.6884i	−0.588051	+	1.01853i	0.406436	+	0.913679i	$0.366771\pi$
$739$	−15.9859	+	27.6884i	−0.588051	+	1.01853i	−0.994487	+	0.104856i	$0.966562\pi$
$740$	−3.38284	−	2.83854i	−0.124356	−	0.104347i
$741$	−10.9494	+	4.44835i	−0.402235	+	0.163414i
$742$	23.8649	+	16.3000i	0.876109	+	0.598394i
$743$	5.49550	−	15.0988i	0.201610	−	0.553920i	−0.797145	−	0.603787i	$-0.793658\pi$
$743$	5.49550	−	15.0988i	0.201610	−	0.553920i	0.998756	+	0.0498673i	$0.0158798\pi$
$744$	1.74133	+	1.35509i	0.0638404	+	0.0496801i
$745$	−0.815475	−	2.24050i	−0.0298767	−	0.0820855i
$746$	−9.53244	−	5.50355i	−0.349007	−	0.201499i
$747$	34.3170	−	33.3956i	1.25559	−	1.22188i
$748$	−29.1785	−	16.8462i	−1.06687	−	0.615959i
$749$	−2.36257	−	23.8111i	−0.0863266	−	0.870037i
$750$	11.2470	−	7.05801i	0.410682	−	0.257722i
$751$	36.6937	+	13.3554i	1.33897	+	0.487346i	0.909489	−	0.415729i	$-0.136474\pi$
$751$	36.6937	+	13.3554i	1.33897	+	0.487346i	0.429483	+	0.903075i	$0.358696\pi$
$752$	1.82642	+	0.664764i	0.0666028	+	0.0242414i
$753$	−7.07113	−	2.28252i	−0.257686	−	0.0831798i
$754$	1.28288	+	0.226207i	0.0467198	+	0.00823796i
$755$	4.99042			0.181620
$756$	−8.46451	+	10.8329i	−0.307851	+	0.393989i
$757$	18.8280			0.684315			0.342157	−	0.939643i	$-0.388842\pi$
$757$	18.8280			0.684315			0.342157	+	0.939643i	$0.388842\pi$
$758$	17.2563	+	3.04275i	0.626776	+	0.110518i
$759$	63.5147	−	57.4105i	2.30544	−	2.08387i
$760$	1.94741	+	0.708798i	0.0706398	+	0.0257108i
$761$	8.73719	+	3.18008i	0.316723	+	0.115278i	0.495490	−	0.868614i	$-0.334989\pi$
$761$	8.73719	+	3.18008i	0.316723	+	0.115278i	−0.178767	+	0.983891i	$0.557211\pi$
$762$	−26.6123	−	14.0844i	−0.964063	−	0.510226i
$763$	−7.82770	+	17.3094i	−0.283382	+	0.626642i
$764$	−5.96653	−	3.44478i	−0.215862	−	0.124628i
$765$	−6.64994	+	13.7686i	−0.240429	+	0.497804i
$766$	−3.37825	−	1.95044i	−0.122061	−	0.0704721i
$767$	−7.10402	−	19.5181i	−0.256511	−	0.704759i
$768$	−1.60468	+	0.651925i	−0.0579039	+	0.0235243i
$769$	−2.12887	+	5.84903i	−0.0767691	+	0.210921i	−0.972141	−	0.234399i	$-0.924688\pi$
$769$	−2.12887	+	5.84903i	−0.0767691	+	0.210921i	0.895371	+	0.445320i	$0.146910\pi$
$770$	10.6567	−	5.12103i	0.384040	−	0.184549i
$771$	−3.84134	−	2.98931i	−0.138343	−	0.107657i
$772$	−16.3605	−	13.7281i	−0.588828	−	0.494085i
$773$	−2.77060	+	4.79882i	−0.0996515	+	0.172602i	−0.911540	−	0.411210i	$-0.865106\pi$
$773$	−2.77060	+	4.79882i	−0.0996515	+	0.172602i	0.811889	+	0.583812i	$0.198439\pi$
$774$	0.157388	+	2.13283i	0.00565720	+	0.0766629i
$775$	4.77038	−	2.75418i	0.171357	−	0.0989331i
$776$	−9.89894	−	8.30620i	−0.355351	−	0.298175i
$777$	16.5403	−	18.2265i	0.593381	−	0.653872i
$778$	−4.90174	−	27.7991i	−0.175736	−	0.996647i
$779$	4.28516	−	0.755590i	0.153532	−	0.0270718i
$780$	2.58512	+	2.85999i	0.0925623	+	0.102404i
$781$	37.1534	+	31.1754i	1.32945	+	1.11554i
$782$	−28.1885	+	48.8239i	−1.00802	+	1.74594i
$783$	1.38622	−	2.08096i	0.0495395	−	0.0743674i
$784$	−5.97912	+	3.64006i	−0.213540	+	0.130002i
$785$	1.77875	+	4.88709i	0.0634865	+	0.174428i
$786$	−27.4254	+	5.88460i	−0.978231	+	0.209897i
$787$	−7.96337	+	21.8792i	−0.283863	+	0.779908i	0.713029	+	0.701135i	$0.247323\pi$
$787$	−7.96337	+	21.8792i	−0.283863	+	0.779908i	−0.996893	+	0.0787740i	$0.974899\pi$
$788$	−0.570982	−	0.680470i	−0.0203404	−	0.0242407i
$789$	−1.26241	−	34.2613i	−0.0449429	−	1.21973i
$790$	4.04720	−	4.82327i	0.143993	−	0.171604i
$791$	−18.9997	−	18.5628i	−0.675553	−	0.660017i
$792$	4.00548	+	15.8058i	0.142329	+	0.561636i
$793$	−36.6465			−1.30135
$794$	33.3668	−	12.1445i	1.18414	−	0.430992i
$795$	−5.85501	−	14.4118i	−0.207656	−	0.511133i
$796$	2.47558	+	2.95028i	0.0877446	+	0.104570i
$797$	16.2914	+	5.92958i	0.577071	+	0.210037i	0.614033	−	0.789280i	$-0.289546\pi$
$797$	16.2914	+	5.92958i	0.577071	+	0.210037i	−0.0369625	+	0.999317i	$0.511768\pi$
$798$	−4.36864	+	10.6926i	−0.154648	+	0.378512i
$799$	−2.09221	+	11.8655i	−0.0740172	+	0.419772i
$800$			4.32399i			0.152876i
$801$	−34.3536	−	24.7580i	−1.21383	−	0.874782i
$802$	4.93067			0.174108
$803$	−16.0644	+	5.84695i	−0.566899	+	0.206335i
$804$	7.78768	−	0.286949i	0.274650	−	0.0101199i
$805$	−8.56893	−	17.8316i	−0.302015	−	0.628483i
$806$	2.21673	+	2.64180i	0.0780810	+	0.0930533i
$807$	17.3640	−	15.6952i	0.611243	−	0.552498i
$808$	−5.48816	+	6.54054i	−0.193073	+	0.230095i
$809$	2.96740	−	1.71323i	0.104328	−	0.0602339i	−0.446928	−	0.894570i	$-0.647482\pi$
$809$	2.96740	−	1.71323i	0.104328	−	0.0602339i	0.551256	+	0.834336i	$0.314149\pi$
$810$	7.01981	−	2.34073i	0.246651	−	0.0822449i
$811$		−	9.51728i		−	0.334197i	−0.985940	−	0.167098i	$-0.946560\pi$
$811$		−	9.51728i		−	0.334197i	0.985940	−	0.167098i	$-0.0534398\pi$
$812$	1.03433	−	0.742324i	0.0362979	−	0.0260505i
$813$	−5.99635	+	18.5764i	−0.210301	+	0.651502i
$814$	−5.06912	−	28.7484i	−0.177673	−	1.00763i
$815$	10.4316	−	8.75312i	0.365402	−	0.306608i
$816$	−5.70721	−	9.09448i	−0.199792	−	0.318371i
$817$	0.614553	+	1.68847i	0.0215005	+	0.0590721i
$818$	18.9218	−	32.7735i	0.661586	−	1.14590i
$819$	−16.4873	+	13.7791i	−0.576114	+	0.481481i
$820$	−0.709689	−	1.22922i	−0.0247834	−	0.0429262i
$821$	−14.1551	+	16.8694i	−0.494018	+	0.588748i	−0.954235	−	0.299059i	$-0.903327\pi$
$821$	−14.1551	+	16.8694i	−0.494018	+	0.588748i	0.460217	+	0.887807i	$0.347772\pi$
$822$	3.98720	+	3.10281i	0.139069	+	0.108223i
$823$	−7.25092	−	41.1220i	−0.252751	−	1.43342i	−0.801779	−	0.597620i	$-0.796113\pi$
$823$	−7.25092	−	41.1220i	−0.252751	−	1.43342i	0.549028	−	0.835804i	$-0.314998\pi$
$824$	8.65429	−	7.26181i	0.301486	−	0.252977i
$825$	40.3206	+	5.58763i	1.40378	+	0.194536i
$826$	−18.4965	−	8.36454i	−0.643576	−	0.291040i
$827$	28.7389	−	16.5924i	0.999349	−	0.576974i	0.0912932	−	0.995824i	$-0.470900\pi$
$827$	28.7389	−	16.5924i	0.999349	−	0.576974i	0.908056	+	0.418850i	$0.137567\pi$
$828$	26.4476	−	6.70230i	0.919119	−	0.232921i
$829$		−	11.2806i		−	0.391790i	−0.980625	−	0.195895i	$-0.937239\pi$
$829$		−	11.2806i		−	0.391790i	0.980625	−	0.195895i	$-0.0627612\pi$
$830$	−12.9241	−	2.27887i	−0.448603	−	0.0791008i
$831$	−49.8829	+	1.83801i	−1.73042	+	0.0637599i
$832$	−2.66599	+	0.470086i	−0.0924267	+	0.0162973i
$833$	−28.6580	−	32.5830i	−0.992942	−	1.12894i
$834$	10.6702	−	9.64476i	0.369481	−	0.333971i
$835$	−1.59564	+	9.04932i	−0.0552194	+	0.313165i
$836$	6.84978	+	11.8642i	0.236904	+	0.410331i
$837$	6.35236	−	1.86124i	0.219570	−	0.0643339i
$838$	9.83111	+	5.67600i	0.339610	+	0.196074i
$839$	34.8285	−	12.6765i	1.20241	−	0.437642i	0.338347	−	0.941021i	$-0.390132\pi$
$839$	34.8285	−	12.6765i	1.20241	−	0.437642i	0.864066	+	0.503379i	$0.167910\pi$
$840$	3.76495	+	0.146173i	0.129903	+	0.00504344i
$841$	22.0379	−	18.4920i	0.759928	−	0.637655i
$842$	−11.1548	+	30.6476i	−0.384420	+	1.05619i
$843$	0.331494	+	8.99663i	0.0114173	+	0.309860i
$844$	−0.725357	+	4.11370i	−0.0249678	+	0.141600i
$845$	−2.33155	−	4.03836i	−0.0802078	−	0.138924i
$846$	4.82147	−	3.27918i	0.165766	−	0.112741i
$847$	47.5278	+	12.1443i	1.63307	+	0.417284i
$848$	10.7573	+	1.89681i	0.369408	+	0.0651366i
$849$	−4.73306	−	11.6502i	−0.162438	−	0.399833i
$850$	−26.3971	+	4.65452i	−0.905413	+	0.159649i
$851$	−48.1042	+	8.48208i	−1.64899	+	0.290762i
$852$	5.81742	+	14.3193i	0.199301	+	0.490570i
$853$	17.2274	+	3.03766i	0.589856	+	0.104007i	0.460606	−	0.887605i	$-0.347632\pi$
$853$	17.2274	+	3.03766i	0.589856	+	0.104007i	0.129249	+	0.991612i	$0.458743\pi$
$854$	−25.0293	+	25.6184i	−0.856484	+	0.876643i
$855$	5.14085	−	3.49639i	0.175813	−	0.119574i
$856$	−4.52197	−	7.83227i	−0.154558	−	0.267702i
$857$	1.54156	−	8.74260i	0.0526585	−	0.298641i	−0.947092	−	0.320961i	$-0.895994\pi$
$857$	1.54156	−	8.74260i	0.0526585	−	0.298641i	0.999751	+	0.0223198i	$0.00710519\pi$
$858$	0.938387	+	25.4675i	0.0320360	+	0.869445i
$859$	2.89497	−	7.95388i	0.0987752	−	0.271383i	−0.880456	−	0.474127i	$-0.842764\pi$
$859$	2.89497	−	7.95388i	0.0987752	−	0.271383i	0.979232	+	0.202744i	$0.0649860\pi$
$860$	0.448998	−	0.376754i	0.0153107	−	0.0128472i
$861$	6.99942	−	3.68673i	0.238540	−	0.125643i
$862$	3.28009	−	1.19386i	0.111720	−	0.0406629i
$863$	31.1122	+	17.9626i	1.05907	+	0.611455i	0.925175	−	0.379540i	$-0.123918\pi$
$863$	31.1122	+	17.9626i	1.05907	+	0.611455i	0.133896	+	0.990995i	$0.457251\pi$
$864$	−1.22795	+	5.04897i	−0.0417758	+	0.171770i
$865$	−0.00935396	−	0.0162015i	−0.000318044	−	0.000550868i
$866$	5.12877	−	29.0867i	0.174283	−	0.988406i
$867$	27.5326	−	24.8865i	0.935057	−	0.845191i
$868$	3.36081	+	0.254680i	0.114073	+	0.00864441i
$869$	40.9897	−	7.22759i	1.39048	−	0.245179i
$870$	−0.684810	+	0.0252329i	−0.0232172	+	0.000855474i
$871$	11.9950	+	2.11505i	0.406436	+	0.0716656i
$872$			7.18021i			0.243153i
$873$	−37.5786	+	9.52307i	−1.27184	+	0.322307i
$874$	19.8521	−	11.4616i	0.671507	−	0.387695i
$875$	8.35748	−	18.4809i	0.282534	−	0.624768i
$876$	−5.39629	−	0.747819i	−0.182324	−	0.0252665i
$877$	1.29462	−	1.08631i	0.0437161	−	0.0366822i	−0.620668	−	0.784074i	$-0.713138\pi$
$877$	1.29462	−	1.08631i	0.0437161	−	0.0366822i	0.664384	+	0.747391i	$0.268694\pi$
$878$	−1.78271	−	10.1103i	−0.0601636	−	0.341205i
$879$	11.7292	+	9.12755i	0.395615	+	0.307865i
$880$	2.87248	−	3.42328i	0.0968312	−	0.115399i
$881$	−24.3220	−	42.1270i	−0.819430	−	1.41929i	−0.906103	−	0.423058i	$-0.860957\pi$
$881$	−24.3220	−	42.1270i	−0.819430	−	1.41929i	0.0866723	−	0.996237i	$-0.472377\pi$
$882$	−1.62818	+	20.9368i	−0.0548237	+	0.704978i
$883$	12.5930	−	21.8117i	0.423787	−	0.734021i	−0.572519	−	0.819891i	$-0.694034\pi$
$883$	12.5930	−	21.8117i	0.423787	−	0.734021i	0.996306	+	0.0858704i	$0.0273671\pi$
$884$	−5.73957	−	15.7693i	−0.193042	−	0.530380i
$885$	5.80799	+	9.25507i	0.195233	+	0.311106i
$886$	−11.1269	+	9.33660i	−0.373816	+	0.313669i
$887$	2.70128	+	15.3197i	0.0907003	+	0.514387i	0.995980	+	0.0895716i	$0.0285498\pi$
$887$	2.70128	+	15.3197i	0.0907003	+	0.514387i	−0.905280	+	0.424815i	$0.860339\pi$
$888$	2.85768	−	8.85295i	0.0958976	−	0.297085i
$889$	−45.7684	+	4.54122i	−1.53502	+	0.152308i
$890$			11.6054i			0.389015i
$891$	45.4942	+	17.9750i	1.52411	+	0.602184i
$892$	−16.3248	+	9.42511i	−0.546594	+	0.315576i
$893$	3.14903	−	3.75287i	0.105378	−	0.125585i
$894$	3.72617	−	3.36806i	0.124622	−	0.112645i
$895$	−0.455010	−	0.542259i	−0.0152093	−	0.0181257i
$896$	−1.49223	+	2.18478i	−0.0498519	+	0.0729883i
$897$	42.6143	−	1.57019i	1.42285	−	0.0524270i
$898$	36.4087	−	13.2517i	1.21498	−	0.442215i
$899$	−0.613007			−0.0204449
$900$	10.5238	+	7.58431i	0.350793	+	0.252810i
$901$			67.7131i			2.25585i
$902$	1.62931	−	9.24029i	0.0542502	−	0.307668i
$903$	2.00119	+	2.58210i	0.0665956	+	0.0859269i
$904$	−9.43422	−	3.43378i	−0.313777	−	0.114206i
$905$	−9.86881	−	11.7612i	−0.328050	−	0.390955i
$906$	3.95693	+	9.73977i	0.131460	+	0.323582i
$907$	16.1386	−	5.87398i	0.535874	−	0.195042i	−0.0598852	−	0.998205i	$-0.519073\pi$
$907$	16.1386	−	5.87398i	0.535874	−	0.195042i	0.595759	+	0.803163i	$0.296851\pi$
$908$	−8.98689			−0.298240
$909$	6.29219	+	24.8293i	0.208699	+	0.823537i
$910$	5.70557	+	1.45789i	0.189138	+	0.0483286i
$911$	−24.8487	+	29.6135i	−0.823274	+	0.981140i	−0.999995	−	0.00312108i	$-0.999007\pi$
$911$	−24.8487	+	29.6135i	−0.823274	+	0.981140i	0.176721	+	0.984261i	$0.443451\pi$
$912$	0.160752	+	4.36275i	0.00532303	+	0.144465i
$913$	−55.7639	−	66.4568i	−1.84551	−	2.19940i
$914$	9.64321	−	26.4945i	0.318969	−	0.876360i
$915$	18.8490	−	4.04438i	0.623128	−	0.133703i
$916$	6.70464	+	18.4209i	0.221528	+	0.608642i
$917$	−29.9426	+	30.6474i	−0.988792	+	1.01207i
$918$	−32.1448	−	2.06148i	−1.06094	−	0.0680390i
$919$	6.05466	−	10.4870i	0.199725	−	0.345934i	−0.748714	−	0.662893i	$-0.769329\pi$
$919$	6.05466	−	10.4870i	0.199725	−	0.345934i	0.948439	+	0.316959i	$0.102662\pi$
$920$	−5.72812	−	4.80646i	−0.188851	−	0.158464i
$921$	1.93771	+	2.14374i	0.0638497	+	0.0706386i
$922$	34.3778	−	6.06174i	1.13217	−	0.199633i
$923$	4.19479	+	23.7898i	0.138073	+	0.783052i
$924$	18.4444	+	16.7381i	0.606777	+	0.550643i
$925$	−17.7905	−	14.9280i	−0.584949	−	0.490831i
$926$	−20.8723	+	12.0506i	−0.685906	+	0.396008i
$927$	−2.49423	−	33.8002i	−0.0819211	−	1.11014i
$928$	0.240601	−	0.416733i	0.00789811	−	0.0136799i
$929$	34.7671	+	29.1730i	1.14067	+	0.957136i	0.999461	−	0.0328434i	$-0.0104563\pi$
$929$	34.7671	+	29.1730i	1.14067	+	0.957136i	0.141210	+	0.989980i	$0.454901\pi$
$930$	−1.43172	−	1.11416i	−0.0469480	−	0.0365346i
$931$	3.46716	+	17.2998i	0.113632	+	0.566977i
$932$	8.60616	−	23.6452i	0.281904	−	0.774525i
$933$	−24.5308	+	9.96600i	−0.803102	+	0.326272i
$934$	0.318321	+	0.874581i	0.0104158	+	0.0286172i
$935$	23.9905	+	13.8509i	0.784574	+	0.452974i
$936$	−3.53207	+	7.31307i	−0.115449	+	0.239035i
$937$	−46.2888	−	26.7248i	−1.51219	−	0.873063i	−0.999898	−	0.0142502i	$-0.995464\pi$
$937$	−46.2888	−	26.7248i	−1.51219	−	0.873063i	−0.512290	−	0.858812i	$-0.671203\pi$
$938$	9.67107	−	6.94078i	0.315772	−	0.226625i
$939$	9.90007	+	5.23956i	0.323077	+	0.170987i
$940$	−1.50168	−	0.546568i	−0.0489795	−	0.0178271i
$941$	−20.4623	−	7.44768i	−0.667053	−	0.242787i	−0.0137743	−	0.999905i	$-0.504385\pi$
$941$	−20.4623	−	7.44768i	−0.667053	−	0.242787i	−0.653278	+	0.757118i	$0.726607\pi$
$942$	−8.12771	+	7.34658i	−0.264815	+	0.239365i
$943$	−15.4616	−	2.72630i	−0.503499	−	0.0887805i
$944$	−7.67265			−0.249723
$945$	6.95951	−	8.90681i	0.226393	−	0.289738i
$946$	3.87459			0.125974
$947$	−2.56774	−	0.452761i	−0.0834403	−	0.0147128i	0.131772	−	0.991280i	$-0.457933\pi$
$947$	−2.56774	−	0.452761i	−0.0834403	−	0.0147128i	−0.215212	+	0.976567i	$0.569044\pi$
$948$	12.6226	+	4.07450i	0.409963	+	0.132334i
$949$	−8.00127	−	2.91222i	−0.259732	−	0.0945348i
$950$	10.2415	+	3.72761i	0.332279	+	0.120940i
$951$	−20.5452	+	12.8931i	−0.666225	+	0.418088i
$952$	−14.9439	−	6.75798i	−0.484335	−	0.219027i
$953$	18.4576	+	10.6565i	0.597901	+	0.345198i	0.768215	−	0.640192i	$-0.221145\pi$
$953$	18.4576	+	10.6565i	0.597901	+	0.345198i	−0.170315	+	0.985390i	$0.554478\pi$
$954$	23.4849	−	22.8544i	0.760352	−	0.739937i
$955$	4.90567	+	2.83229i	0.158744	+	0.0916508i
$956$	−2.28286	−	6.27212i	−0.0738331	−	0.202855i
$957$	−3.57506	−	2.78209i	−0.115565	−	0.0899322i
$958$	−5.32817	+	14.6390i	−0.172145	+	0.472965i
$959$	7.69536	+	0.583151i	0.248496	+	0.0188309i
$960$	1.31936	−	0.536012i	0.0425823	−	0.0172997i
$961$	22.5042	+	18.8833i	0.725942	+	0.609138i
$962$	7.26989	−	12.5918i	0.234391	−	0.405976i
$963$	−26.9939	−	2.73223i	−0.869865	−	0.0880450i
$964$	9.69027	−	5.59468i	0.312103	−	0.180192i
$965$	13.4516	+	11.2872i	0.433022	+	0.363349i
$966$	28.0075	−	30.8627i	0.901128	−	0.992992i
$967$	5.16448	+	29.2892i	0.166079	+	0.941879i	0.947945	+	0.318433i	$0.103157\pi$
$967$	5.16448	+	29.2892i	0.166079	+	0.941879i	−0.781867	+	0.623446i	$0.785732\pi$
$968$	18.2593	−	3.21961i	0.586876	−	0.103482i
$969$	−26.4606	+	5.67760i	−0.850038	+	0.182391i
$970$	8.13889	+	6.82934i	0.261324	+	0.219277i
$971$	−2.56930	+	4.45016i	−0.0824527	+	0.142812i	−0.904303	−	0.426891i	$-0.859609\pi$
$971$	−2.56930	+	4.45016i	−0.0824527	+	0.142812i	0.821850	+	0.569704i	$0.192942\pi$
$972$	10.1344	+	11.8445i	0.325062	+	0.379914i
$973$	5.43920	−	21.2867i	0.174373	−	0.682421i
$974$	−0.402100	−	1.10476i	−0.0128841	−	0.0353988i
$975$	13.5953	+	15.0409i	0.435399	+	0.481693i
$976$	−4.62995	+	12.7207i	−0.148201	+	0.407179i
$977$	9.44181	+	11.2523i	0.302070	+	0.359993i	0.895633	−	0.444795i	$-0.146723\pi$
$977$	9.44181	+	11.2523i	0.302070	+	0.359993i	−0.593562	+	0.804788i	$0.702279\pi$
$978$	25.3546	+	13.4188i	0.810752	+	0.429086i
$979$	−49.3134	+	58.7694i	−1.57606	+	1.87828i
$980$	4.91603	−	2.99286i	0.157037	−	0.0956032i
$981$	17.4753	+	12.5941i	0.557944	+	0.402100i
$982$	−19.8164			−0.632367
$983$	36.3752	−	13.2395i	1.16019	−	0.422274i	0.311024	−	0.950402i	$-0.399328\pi$
$983$	36.3752	−	13.2395i	1.16019	−	0.422274i	0.849165	+	0.528128i	$0.177106\pi$
$984$	1.83634	−	2.35975i	0.0585404	−	0.0752260i
$985$	0.469461	+	0.559481i	0.0149583	+	0.0178266i
$986$	2.80306	+	1.02023i	0.0892678	+	0.0324908i
$987$	3.36874	−	8.24524i	0.107228	−	0.262449i
$988$	−1.18487	+	6.71975i	−0.0376958	+	0.213784i
$989$		−	6.48328i		−	0.206156i
$990$	−3.29330	−	12.9955i	−0.104668	−	0.413025i
$991$	−18.6443			−0.592256			−0.296128	−	0.955148i	$-0.595695\pi$
$991$	−18.6443			−0.592256			−0.296128	+	0.955148i	$0.595695\pi$
$992$	1.19708	−	0.435702i	0.0380074	−	0.0138335i
$993$	32.7705	+	52.2201i	1.03994	+	1.65715i
$994$	19.4957	+	13.3158i	0.618367	+	0.422352i
$995$	−2.03542	−	2.42572i	−0.0645271	−	0.0769004i
$996$	−5.79994	−	27.0308i	−0.183778	−	0.856505i
$997$	21.9436	−	26.1514i	0.694961	−	0.828222i	−0.296985	−	0.954882i	$-0.595981\pi$
$997$	21.9436	−	26.1514i	0.694961	−	0.828222i	0.991946	+	0.126660i	$0.0404257\pi$
$998$	−0.946170	+	0.546272i	−0.0299505	+	0.0172919i
$999$	−16.5340	−	22.4832i	−0.523114	−	0.711337i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	378.2.ba.a.47.7	✓	144
7.3	odd	6		378.2.bf.a.101.15	yes	144
27.23	odd	18		378.2.bf.a.131.15	yes	144
189.185	even	18	inner	378.2.ba.a.185.7	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
378.2.ba.a.47.7	✓	144	1.1	even	1	trivial
378.2.ba.a.185.7	yes	144	189.185	even	18	inner
378.2.bf.a.101.15	yes	144	7.3	odd	6
378.2.bf.a.131.15	yes	144	27.23	odd	18

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:	\( N \)	\(=\)	\( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	378.ba (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.984808 - 0.173648i) q^{2} +(0.363371 + 1.69351i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-0.772614 - 0.281208i) q^{5} +(-0.0637767 - 1.73088i) q^{6} +(-1.54265 - 2.14948i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.73592 + 1.23074i) q^{9} +O(q^{10})\)	\(q+(-0.984808 - 0.173648i) q^{2} +(0.363371 + 1.69351i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-0.772614 - 0.281208i) q^{5} +(-0.0637767 - 1.73088i) q^{6} +(-1.54265 - 2.14948i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.73592 + 1.23074i) q^{9} +(0.712045 + 0.411099i) q^{10} +(1.85893 + 5.10738i) q^{11} +(-0.237756 + 1.71566i) q^{12} +(-0.925889 + 2.54386i) q^{13} +(1.14596 + 2.38470i) q^{14} +(0.195482 - 1.41061i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-3.09949 + 5.36847i) q^{17} +(2.90807 - 0.736957i) q^{18} +(2.18285 - 1.26027i) q^{19} +(-0.629840 - 0.528499i) q^{20} +(3.07959 - 3.39354i) q^{21} +(-0.943806 - 5.35259i) q^{22} +(-8.95639 + 1.57925i) q^{23} +(0.532064 - 1.64830i) q^{24} +(-3.31237 - 2.77941i) q^{25} +(1.35356 - 2.34443i) q^{26} +(-3.07843 - 4.18608i) q^{27} +(-0.714449 - 2.54746i) q^{28} +(0.164581 + 0.452182i) q^{29} +(-0.437462 + 1.35523i) q^{30} +(-0.435702 + 1.19708i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(-7.97389 + 5.00399i) q^{33} +(3.98462 - 4.74869i) q^{34} +(0.587419 + 2.09452i) q^{35} +(-2.99187 + 0.220779i) q^{36} +5.37094 q^{37} +(-2.36853 + 0.862076i) q^{38} +(-4.64448 - 0.643633i) q^{39} +(0.528499 + 0.629840i) q^{40} +(1.62221 + 0.590437i) q^{41} +(-3.62209 + 2.80722i) q^{42} +(-0.123789 + 0.702045i) q^{43} +5.43516i q^{44} +(2.45991 - 0.181524i) q^{45} +9.09456 q^{46} +(1.82642 - 0.664764i) q^{47} +(-0.810206 + 1.53087i) q^{48} +(-2.24049 + 6.63176i) q^{49} +(2.77941 + 3.31237i) q^{50} +(-10.2178 - 3.29825i) q^{51} +(-1.74010 + 2.07377i) q^{52} +(9.45984 - 5.46164i) q^{53} +(2.30475 + 4.65705i) q^{54} -4.46878i q^{55} +(0.261233 + 2.63282i) q^{56} +(2.92746 + 3.23873i) q^{57} +(-0.0835599 - 0.473891i) q^{58} +(-5.87759 + 4.93188i) q^{59} +(0.666150 - 1.25868i) q^{60} +(4.62995 + 12.7207i) q^{61} +(0.636954 - 1.10324i) q^{62} +(6.86601 + 3.98220i) q^{63} +(0.500000 + 0.866025i) q^{64} +(1.43071 - 1.70505i) q^{65} +(8.72169 - 3.54332i) q^{66} +(-0.781290 - 4.43092i) q^{67} +(-4.74869 + 3.98462i) q^{68} +(-5.92897 - 14.5938i) q^{69} +(-0.214785 - 2.16470i) q^{70} +(7.72793 - 4.46172i) q^{71} +(2.98475 + 0.302107i) q^{72} +3.14533i q^{73} +(-5.28934 - 0.932654i) q^{74} +(3.50332 - 6.61947i) q^{75} +(2.48225 - 0.437688i) q^{76} +(8.11051 - 11.8746i) q^{77} +(4.46216 + 1.44036i) q^{78} +(1.32978 - 7.54158i) q^{79} +(-0.411099 - 0.712045i) q^{80} +(5.97054 - 6.73443i) q^{81} +(-1.49504 - 0.863161i) q^{82} +(-14.9989 + 5.45915i) q^{83} +(4.05453 - 2.13560i) q^{84} +(3.90437 - 3.27615i) q^{85} +(0.243818 - 0.669884i) q^{86} +(-0.705969 + 0.443028i) q^{87} +(0.943806 - 5.35259i) q^{88} +(7.05756 + 12.2241i) q^{89} +(-2.45406 - 0.248392i) q^{90} +(6.89628 - 1.93410i) q^{91} +(-8.95639 - 1.57925i) q^{92} +(-2.18558 - 0.302879i) q^{93} +(-1.91411 + 0.337510i) q^{94} +(-2.04090 + 0.359866i) q^{95} +(1.06373 - 1.36692i) q^{96} +(12.7258 + 2.24391i) q^{97} +(3.35804 - 6.14195i) q^{98} +(-11.3718 - 11.6855i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 18 q^{6} + 24 q^{9}+O(q^{10}) \) 144 * q - 18 * q^6 + 24 * q^9	\( 144 q - 18 q^{6} + 24 q^{9} - 24 q^{11} + 6 q^{14} + 12 q^{15} - 30 q^{21} - 42 q^{23} - 6 q^{29} - 18 q^{30} + 6 q^{36} + 48 q^{39} - 48 q^{42} + 18 q^{45} - 54 q^{47} - 36 q^{49} + 12 q^{50} - 36 q^{51} - 90 q^{53} + 6 q^{56} - 6 q^{57} + 18 q^{60} + 54 q^{61} - 24 q^{63} + 72 q^{64} + 78 q^{65} - 72 q^{66} - 54 q^{68} + 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} - 36 q^{74} - 6 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 36 q^{91} - 42 q^{92} + 96 q^{93} - 66 q^{95} - 108 q^{99}+O(q^{100}) \) 144 * q - 18 * q^6 + 24 * q^9 - 24 * q^11 + 6 * q^14 + 12 * q^15 - 30 * q^21 - 42 * q^23 - 6 * q^29 - 18 * q^30 + 6 * q^36 + 48 * q^39 - 48 * q^42 + 18 * q^45 - 54 * q^47 - 36 * q^49 + 12 * q^50 - 36 * q^51 - 90 * q^53 + 6 * q^56 - 6 * q^57 + 18 * q^60 + 54 * q^61 - 24 * q^63 + 72 * q^64 + 78 * q^65 - 72 * q^66 - 54 * q^68 + 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 - 36 * q^74 - 6 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 36 * q^91 - 42 * q^92 + 96 * q^93 - 66 * q^95 - 108 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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