LMFDB - Embedded newform 490.2.s.a.223.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [490,2,Mod(13,490)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(490, base_ring=CyclotomicField(28))

chi = DirichletCharacter(H, H._module([21, 22]))

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

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

chi := DirichletCharacter("490.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 490 = 2 \cdot 5 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	490.s (of order $28$, degree $12$, 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:	$3.91266969904$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$28$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			223.15
Character	$\chi$	$=$	490.223
Dual form			490.2.s.a.167.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.330279 - 0.943883i) q^{2} +(-1.40512 - 2.23623i) q^{3} +(-0.781831 - 0.623490i) q^{4} +(-1.06438 - 1.96650i) q^{5} +(-2.57482 + 0.587686i) q^{6} +(1.23245 - 2.34117i) q^{7} +(-0.846724 + 0.532032i) q^{8} +(-1.72472 + 3.58142i) q^{9} +O(q^{10})$	\(q+(0.330279 - 0.943883i) q^{2} +(-1.40512 - 2.23623i) q^{3} +(-0.781831 - 0.623490i) q^{4} +(-1.06438 - 1.96650i) q^{5} +(-2.57482 + 0.587686i) q^{6} +(1.23245 - 2.34117i) q^{7} +(-0.846724 + 0.532032i) q^{8} +(-1.72472 + 3.58142i) q^{9} +(-2.20768 + 0.355154i) q^{10} +(-3.30533 + 1.59176i) q^{11} +(-0.295702 + 2.62443i) q^{12} +(0.774763 - 2.21415i) q^{13} +(-1.80274 - 1.93653i) q^{14} +(-2.90197 + 5.14334i) q^{15} +(0.222521 + 0.974928i) q^{16} +(0.287219 - 2.54914i) q^{17} +(2.81080 + 2.81080i) q^{18} +6.01546 q^{19} +(-0.393928 + 2.20110i) q^{20} +(-6.96712 + 0.533577i) q^{21} +(0.410757 + 3.64557i) q^{22} +(5.61727 - 0.632915i) q^{23} +(2.37949 + 1.14590i) q^{24} +(-2.73421 + 4.18618i) q^{25} +(-1.83401 - 1.46257i) q^{26} +(2.55901 - 0.288332i) q^{27} +(-2.42326 + 1.06198i) q^{28} +(2.53318 - 2.02014i) q^{29} +(3.89626 + 4.43785i) q^{30} +8.26840i q^{31} +(0.993712 + 0.111964i) q^{32} +(8.20392 + 5.15486i) q^{33} +(-2.31123 - 1.11303i) q^{34} +(-5.91569 + 0.0682778i) q^{35} +(3.58142 - 1.72472i) q^{36} +(-5.28694 - 0.595695i) q^{37} +(1.98678 - 5.67789i) q^{38} +(-6.03997 + 1.37858i) q^{39} +(1.94747 + 1.09880i) q^{40} +(-8.71682 - 1.98956i) q^{41} +(-1.79746 + 6.75238i) q^{42} +(-1.78886 + 2.84696i) q^{43} +(3.57666 + 0.816349i) q^{44} +(8.87859 - 0.420318i) q^{45} +(1.25787 - 5.51109i) q^{46} +(7.88544 + 2.75923i) q^{47} +(1.86749 - 1.86749i) q^{48} +(-3.96214 - 5.77074i) q^{49} +(3.04821 + 3.96338i) q^{50} +(-6.10404 + 2.93955i) q^{51} +(-1.98623 + 1.24803i) q^{52} +(-10.7936 + 1.21614i) q^{53} +(0.573037 - 2.51064i) q^{54} +(6.64830 + 4.80568i) q^{55} +(0.202033 + 2.63803i) q^{56} +(-8.45242 - 13.4519i) q^{57} +(-1.07012 - 3.05823i) q^{58} +(-2.74896 - 12.0440i) q^{59} +(5.47567 - 2.21188i) q^{60} +(9.63227 - 7.68148i) q^{61} +(7.80440 + 2.73088i) q^{62} +(6.25908 + 8.45177i) q^{63} +(0.433884 - 0.900969i) q^{64} +(-5.17875 + 0.833113i) q^{65} +(7.57517 - 6.04100i) q^{66} +(6.83521 - 6.83521i) q^{67} +(-1.81392 + 1.81392i) q^{68} +(-9.30826 - 11.6722i) q^{69} +(-1.88938 + 5.60627i) q^{70} +(-2.38825 + 2.99477i) q^{71} +(-0.445067 - 3.95008i) q^{72} +(5.90244 - 2.06535i) q^{73} +(-2.30843 + 4.79351i) q^{74} +(13.2031 + 0.232256i) q^{75} +(-4.70307 - 3.75058i) q^{76} +(-0.347062 + 9.70010i) q^{77} +(-0.693653 + 6.15634i) q^{78} -7.24781i q^{79} +(1.68035 - 1.47528i) q^{80} +(3.19477 + 4.00611i) q^{81} +(-4.75689 + 7.57055i) q^{82} +(-3.24183 + 1.13437i) q^{83} +(5.77980 + 3.92676i) q^{84} +(-5.31859 + 2.14843i) q^{85} +(2.09637 + 2.62877i) q^{86} +(-8.07690 - 2.82623i) q^{87} +(1.95183 - 3.10632i) q^{88} +(-0.551072 - 0.265382i) q^{89} +(2.53568 - 8.51918i) q^{90} +(-4.22883 - 4.54267i) q^{91} +(-4.78638 - 3.00748i) q^{92} +(18.4900 - 11.6181i) q^{93} +(5.20879 - 6.53162i) q^{94} +(-6.40270 - 11.8294i) q^{95} +(-1.14590 - 2.37949i) q^{96} +(-3.67835 - 3.67835i) q^{97} +(-6.75552 + 1.83385i) q^{98} -14.5831i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q + 28 q^{6} + 8 q^{7}+O(q^{10}) $ 336 * q + 28 * q^6 + 8 * q^7	$ 336 q + 28 q^{6} + 8 q^{7} + 8 q^{11} + 44 q^{15} + 56 q^{16} + 28 q^{17} - 16 q^{21} - 20 q^{22} + 8 q^{23} - 8 q^{25} - 28 q^{26} - 8 q^{28} - 24 q^{30} + 8 q^{35} + 76 q^{36} - 24 q^{37} - 56 q^{41} - 112 q^{42} - 24 q^{43} + 112 q^{45} - 68 q^{46} - 84 q^{47} - 32 q^{50} - 80 q^{51} - 100 q^{53} + 84 q^{55} - 20 q^{56} + 92 q^{57} - 80 q^{58} - 112 q^{61} - 32 q^{67} + 52 q^{70} + 16 q^{71} - 84 q^{75} + 16 q^{77} - 80 q^{78} + 12 q^{81} + 140 q^{83} + 40 q^{85} - 8 q^{86} - 28 q^{87} - 8 q^{88} - 84 q^{90} + 124 q^{91} + 8 q^{92} + 20 q^{93} - 56 q^{95} - 32 q^{98}+O(q^{100}) $ 336 * q + 28 * q^6 + 8 * q^7 + 8 * q^11 + 44 * q^15 + 56 * q^16 + 28 * q^17 - 16 * q^21 - 20 * q^22 + 8 * q^23 - 8 * q^25 - 28 * q^26 - 8 * q^28 - 24 * q^30 + 8 * q^35 + 76 * q^36 - 24 * q^37 - 56 * q^41 - 112 * q^42 - 24 * q^43 + 112 * q^45 - 68 * q^46 - 84 * q^47 - 32 * q^50 - 80 * q^51 - 100 * q^53 + 84 * q^55 - 20 * q^56 + 92 * q^57 - 80 * q^58 - 112 * q^61 - 32 * q^67 + 52 * q^70 + 16 * q^71 - 84 * q^75 + 16 * q^77 - 80 * q^78 + 12 * q^81 + 140 * q^83 + 40 * q^85 - 8 * q^86 - 28 * q^87 - 8 * q^88 - 84 * q^90 + 124 * q^91 + 8 * q^92 + 20 * q^93 - 56 * q^95 - 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/490\mathbb{Z}\right)^\times$.

$n$	$101$	$197$
$\chi(n)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.330279	−	0.943883i	0.233543	−	0.667426i
$2$	0.330279	−	0.943883i	0.233543	−	0.667426i
$3$	−1.40512	−	2.23623i	−0.811244	−	1.29109i	−0.953541	−	0.301264i	$-0.902592\pi$
$3$	−1.40512	−	2.23623i	−0.811244	−	1.29109i	0.142297	−	0.989824i	$-0.454551\pi$
$4$	−0.781831	−	0.623490i	−0.390916	−	0.311745i
$5$	−1.06438	−	1.96650i	−0.476003	−	0.879444i
$5$	−1.06438	−	1.96650i	−0.476003	−	0.879444i
$6$	−2.57482	+	0.587686i	−1.05117	+	0.239922i
$7$	1.23245	−	2.34117i	0.465822	−	0.884879i
$7$	1.23245	−	2.34117i	0.465822	−	0.884879i
$8$	−0.846724	+	0.532032i	−0.299362	+	0.188102i
$9$	−1.72472	+	3.58142i	−0.574907	+	1.19381i
$10$	−2.20768	+	0.355154i	−0.698131	+	0.112309i
$11$	−3.30533	+	1.59176i	−0.996594	+	0.479934i	−0.859781	−	0.510663i	$-0.829400\pi$
$11$	−3.30533	+	1.59176i	−0.996594	+	0.479934i	−0.136813	+	0.990597i	$0.543686\pi$
$12$	−0.295702	+	2.62443i	−0.0853619	+	0.757608i
$13$	0.774763	−	2.21415i	0.214881	−	0.614093i	−0.785106	−	0.619362i	$-0.787391\pi$
$13$	0.774763	−	2.21415i	0.214881	−	0.614093i	0.999986	+	0.00526854i	$0.00167704\pi$
$14$	−1.80274	−	1.93653i	−0.481802	−	0.517558i
$15$	−2.90197	+	5.14334i	−0.749284	+	1.32801i
$16$	0.222521	+	0.974928i	0.0556302	+	0.243732i
$17$	0.287219	−	2.54914i	0.0696609	−	0.618258i	−0.909576	−	0.415538i	$-0.863593\pi$
$17$	0.287219	−	2.54914i	0.0696609	−	0.618258i	0.979237	−	0.202720i	$-0.0649781\pi$
$18$	2.81080	+	2.81080i	0.662512	+	0.662512i
$19$	6.01546			1.38004			0.690020	−	0.723790i	$-0.257602\pi$
$19$	6.01546			1.38004			0.690020	+	0.723790i	$0.257602\pi$
$20$	−0.393928	+	2.20110i	−0.0880850	+	0.492180i
$21$	−6.96712	+	0.533577i	−1.52035	+	0.116436i
$22$	0.410757	+	3.64557i	0.0875737	+	0.777238i
$23$	5.61727	−	0.632915i	1.17128	−	0.131972i	0.495187	−	0.868786i	$-0.335099\pi$
$23$	5.61727	−	0.632915i	1.17128	−	0.131972i	0.676095	+	0.736815i	$0.263671\pi$
$24$	2.37949	+	1.14590i	0.485712	+	0.233906i
$25$	−2.73421	+	4.18618i	−0.546842	+	0.837236i
$26$	−1.83401	−	1.46257i	−0.359678	−	0.286834i
$27$	2.55901	−	0.288332i	0.492483	−	0.0554895i
$28$	−2.42326	+	1.06198i	−0.457953	+	0.200695i
$29$	2.53318	−	2.02014i	0.470399	−	0.375131i	−0.359409	−	0.933180i	$-0.617022\pi$
$29$	2.53318	−	2.02014i	0.470399	−	0.375131i	0.829808	+	0.558050i	$0.188450\pi$
$30$	3.89626	+	4.43785i	0.711356	+	0.810238i
$31$			8.26840i			1.48505i	0.669820	+	0.742524i	$0.266371\pi$
$31$			8.26840i			1.48505i	−0.669820	+	0.742524i	$0.733629\pi$
$32$	0.993712	+	0.111964i	0.175665	+	0.0197927i
$33$	8.20392	+	5.15486i	1.42812	+	0.897346i
$34$	−2.31123	−	1.11303i	−0.396373	−	0.190883i
$35$	−5.91569	+	0.0682778i	−0.999933	+	0.0115410i
$36$	3.58142	−	1.72472i	0.596903	−	0.287453i
$37$	−5.28694	−	0.595695i	−0.869167	−	0.0979316i	−0.333894	−	0.942611i	$-0.608363\pi$
$37$	−5.28694	−	0.595695i	−0.869167	−	0.0979316i	−0.535273	+	0.844679i	$0.679791\pi$
$38$	1.98678	−	5.67789i	0.322298	−	0.921075i
$39$	−6.03997	+	1.37858i	−0.967169	+	0.220750i
$40$	1.94747	+	1.09880i	0.307922	+	0.173735i
$41$	−8.71682	−	1.98956i	−1.36134	−	0.310717i	−0.521360	−	0.853337i	$-0.674575\pi$
$41$	−8.71682	−	1.98956i	−1.36134	−	0.310717i	−0.839978	+	0.542620i	$0.817432\pi$
$42$	−1.79746	+	6.75238i	−0.277354	+	1.04192i
$43$	−1.78886	+	2.84696i	−0.272799	+	0.434157i	−0.954824	−	0.297172i	$-0.903957\pi$
$43$	−1.78886	+	2.84696i	−0.272799	+	0.434157i	0.682025	+	0.731329i	$0.261099\pi$
$44$	3.57666	+	0.816349i	0.539201	+	0.123069i
$45$	8.87859	−	0.420318i	1.32354	−	0.0626573i
$46$	1.25787	−	5.51109i	0.185463	−	0.812566i
$47$	7.88544	+	2.75923i	1.15021	+	0.402476i	0.836997	−	0.547207i	$-0.184309\pi$
$47$	7.88544	+	2.75923i	1.15021	+	0.402476i	0.313212	+	0.949683i	$0.398595\pi$
$48$	1.86749	−	1.86749i	0.269550	−	0.269550i
$49$	−3.96214	−	5.77074i	−0.566020	−	0.824391i
$50$	3.04821	+	3.96338i	0.431082	+	0.560507i
$51$	−6.10404	+	2.93955i	−0.854737	+	0.411620i
$52$	−1.98623	+	1.24803i	−0.275441	+	0.173071i
$53$	−10.7936	+	1.21614i	−1.48261	+	0.167050i	−0.815869	−	0.578237i	$-0.803741\pi$
$53$	−10.7936	+	1.21614i	−1.48261	+	0.167050i	−0.666743	+	0.745287i	$0.732312\pi$
$54$	0.573037	−	2.51064i	0.0779805	−	0.341655i
$55$	6.64830	+	4.80568i	0.896457	+	0.647998i
$56$	0.202033	+	2.63803i	0.0269978	+	0.352521i
$57$	−8.45242	−	13.4519i	−1.11955	−	1.78175i
$58$	−1.07012	−	3.05823i	−0.140514	−	0.401566i
$59$	−2.74896	−	12.0440i	−0.357884	−	1.56799i	−0.758454	−	0.651726i	$-0.774045\pi$
$59$	−2.74896	−	12.0440i	−0.357884	−	1.56799i	0.400571	−	0.916266i	$-0.368812\pi$
$60$	5.47567	−	2.21188i	0.706906	−	0.285553i
$61$	9.63227	−	7.68148i	1.23329	−	0.983513i	0.233348	−	0.972393i	$-0.425032\pi$
$61$	9.63227	−	7.68148i	1.23329	−	0.983513i	0.999938	−	0.0111192i	$-0.00353941\pi$
$62$	7.80440	+	2.73088i	0.991160	+	0.346822i
$63$	6.25908	+	8.45177i	0.788569	+	1.06482i
$64$	0.433884	−	0.900969i	0.0542355	−	0.112621i
$65$	−5.17875	+	0.833113i	−0.642344	+	0.103335i
$66$	7.57517	−	6.04100i	0.932439	−	0.743595i
$67$	6.83521	−	6.83521i	0.835054	−	0.835054i	−0.153149	−	0.988203i	$-0.548942\pi$
$67$	6.83521	−	6.83521i	0.835054	−	0.835054i	0.988203	+	0.153149i	$0.0489416\pi$
$68$	−1.81392	+	1.81392i	−0.219970	+	0.219970i
$69$	−9.30826	−	11.6722i	−1.12058	−	1.40517i
$70$	−1.88938	+	5.60627i	−0.225824	+	0.670077i
$71$	−2.38825	+	2.99477i	−0.283434	+	0.355414i	−0.903084	−	0.429463i	$-0.858703\pi$
$71$	−2.38825	+	2.99477i	−0.283434	+	0.355414i	0.619651	+	0.784878i	$0.287274\pi$
$72$	−0.445067	−	3.95008i	−0.0524517	−	0.465521i
$73$	5.90244	−	2.06535i	0.690828	−	0.241731i	0.0380450	−	0.999276i	$-0.487887\pi$
$73$	5.90244	−	2.06535i	0.690828	−	0.241731i	0.652783	+	0.757545i	$0.273601\pi$
$74$	−2.30843	+	4.79351i	−0.268350	+	0.557234i
$75$	13.2031	+	0.232256i	1.52457	+	0.0268186i
$76$	−4.70307	−	3.75058i	−0.539480	−	0.430221i
$77$	−0.347062	+	9.70010i	−0.0395514	+	1.10543i
$78$	−0.693653	+	6.15634i	−0.0785408	+	0.697069i
$79$		−	7.24781i		−	0.815442i	−0.913107	−	0.407721i	$-0.866324\pi$
$79$		−	7.24781i		−	0.815442i	0.913107	−	0.407721i	$-0.133676\pi$
$80$	1.68035	−	1.47528i	0.187868	−	0.164941i
$81$	3.19477	+	4.00611i	0.354974	+	0.445123i
$82$	−4.75689	+	7.57055i	−0.525311	+	0.836027i
$83$	−3.24183	+	1.13437i	−0.355837	+	0.124513i	−0.502277	−	0.864707i	$-0.667504\pi$
$83$	−3.24183	+	1.13437i	−0.355837	+	0.124513i	0.146440	+	0.989220i	$0.453219\pi$
$84$	5.77980	+	3.92676i	0.630628	+	0.428445i
$85$	−5.31859	+	2.14843i	−0.576882	+	0.233030i
$86$	2.09637	+	2.62877i	0.226058	+	0.283467i
$87$	−8.07690	−	2.82623i	−0.865935	−	0.303004i
$88$	1.95183	−	3.10632i	0.208066	−	0.331135i
$89$	−0.551072	−	0.265382i	−0.0584135	−	0.0281305i	0.404449	−	0.914561i	$-0.367463\pi$
$89$	−0.551072	−	0.265382i	−0.0584135	−	0.0281305i	−0.462862	+	0.886430i	$0.653178\pi$
$90$	2.53568	−	8.51918i	0.267284	−	0.898000i
$91$	−4.22883	−	4.54267i	−0.443302	−	0.476201i
$92$	−4.78638	−	3.00748i	−0.499014	−	0.313551i
$93$	18.4900	−	11.6181i	1.91733	−	1.20474i
$94$	5.20879	−	6.53162i	0.537246	−	0.673685i
$95$	−6.40270	−	11.8294i	−0.656904	−	1.21367i
$96$	−1.14590	−	2.37949i	−0.116953	−	0.242856i
$97$	−3.67835	−	3.67835i	−0.373480	−	0.373480i	0.495263	−	0.868743i	$-0.335072\pi$
$97$	−3.67835	−	3.67835i	−0.373480	−	0.373480i	−0.868743	+	0.495263i	$0.835072\pi$
$98$	−6.75552	+	1.83385i	−0.682410	+	0.185246i
$99$		−	14.5831i		−	1.46566i
$100$	4.74773	−	1.56813i	0.474773	−	0.156813i
$101$	−12.1853	−	2.78121i	−1.21248	−	0.276741i	−0.431973	−	0.901887i	$-0.642182\pi$
$101$	−12.1853	−	2.78121i	−1.21248	−	0.276741i	−0.780508	+	0.625146i	$0.785039\pi$
$102$	0.758557	+	6.73238i	0.0751083	+	0.666605i
$103$	3.38976	+	5.39477i	0.334003	+	0.531563i	0.970931	−	0.239361i	$-0.0769379\pi$
$103$	3.38976	+	5.39477i	0.334003	+	0.531563i	−0.636928	+	0.770923i	$0.719795\pi$
$104$	0.521986	+	2.28697i	0.0511849	+	0.224256i
$105$	8.46491	+	13.1329i	0.826091	+	1.28164i
$106$	−2.41699	+	10.5895i	−0.234759	+	1.02855i
$107$	−6.36111	+	2.22585i	−0.614952	+	0.215181i	−0.619739	−	0.784808i	$-0.712762\pi$
$107$	−6.36111	+	2.22585i	−0.614952	+	0.215181i	0.00478777	+	0.999989i	$0.498476\pi$
$108$	−2.18049	−	1.37009i	−0.209818	−	0.131837i
$109$	−1.93351	−	4.01497i	−0.185196	−	0.384564i	0.787613	−	0.616170i	$-0.211316\pi$
$109$	−1.93351	−	4.01497i	−0.185196	−	0.384564i	−0.972810	+	0.231606i	$0.925602\pi$
$110$	6.73180	−	4.68801i	0.641852	−	0.446984i
$111$	6.09665	+	12.6598i	0.578668	+	1.20162i
$112$	2.55672	+	0.680589i	0.241587	+	0.0643096i
$113$	−3.76736	−	10.7665i	−0.354404	−	1.01283i	−0.973732	−	0.227696i	$-0.926881\pi$
$113$	−3.76736	−	10.7665i	−0.354404	−	1.01283i	0.619328	−	0.785132i	$-0.287405\pi$
$114$	−15.4887	+	3.53520i	−1.45065	+	0.331102i
$115$	−7.22351	−	10.3727i	−0.673596	−	0.967258i
$116$	−3.24005			−0.300831
$117$	6.59353	+	6.59353i	0.609572	+	0.609572i
$118$	−12.2760	−	1.38318i	−1.13010	−	0.127332i
$119$	−5.61399	−	3.81411i	−0.514633	−	0.349639i
$120$	−0.279259	−	5.89893i	−0.0254927	−	0.538496i
$121$	1.53310	−	1.92244i	0.139373	−	0.174768i
$122$	−4.06908	−	11.6288i	−0.368397	−	1.05282i
$123$	7.79904	+	22.2884i	0.703215	+	2.00967i
$124$	5.15526	−	6.46449i	0.462956	−	0.580529i
$125$	11.1423	+	0.921149i	0.996600	+	0.0823901i
$126$	10.0447	−	3.11639i	0.894856	−	0.277630i
$127$	14.6708	+	1.65300i	1.30182	+	0.146680i	0.735512	−	0.677512i	$-0.236942\pi$
$127$	14.6708	+	1.65300i	1.30182	+	0.146680i	0.566311	+	0.824192i	$0.308370\pi$
$128$	−0.707107	−	0.707107i	−0.0625000	−	0.0625000i
$129$	8.88001			0.781842
$130$	−0.924070	+	5.16329i	−0.0810463	+	0.452851i
$131$	−7.55067	+	1.72339i	−0.659705	+	0.150573i	−0.539251	−	0.842145i	$-0.681292\pi$
$131$	−7.55067	+	1.72339i	−0.659705	+	0.150573i	−0.120455	+	0.992719i	$0.538435\pi$
$132$	−3.20008	−	9.14529i	−0.278531	−	0.795995i
$133$	7.41374	−	14.0832i	0.642853	−	1.22117i
$134$	−4.19411	−	8.70917i	−0.362316	−	0.752357i
$135$	−3.29075	−	4.72540i	−0.283223	−	0.406697i
$136$	1.11303	+	2.31123i	0.0954415	+	0.198186i
$137$	1.95000	+	1.22527i	0.166600	+	0.104681i	0.612751	−	0.790276i	$-0.290063\pi$
$137$	1.95000	+	1.22527i	0.166600	+	0.104681i	−0.446151	+	0.894958i	$0.647206\pi$
$138$	−14.0915	+	4.93083i	−1.19955	+	0.419740i
$139$	−3.03844	+	13.3123i	−0.257717	+	1.12913i	0.665969	+	0.745980i	$0.268018\pi$
$139$	−3.03844	+	13.3123i	−0.257717	+	1.12913i	−0.923686	+	0.383151i	$0.874839\pi$
$140$	4.66764	+	3.63499i	0.394488	+	0.307213i
$141$	−4.90968	−	21.5107i	−0.413469	−	1.81153i
$142$	2.03793	+	3.24334i	0.171019	+	0.272175i
$143$	0.963547	+	8.55172i	0.0805758	+	0.715130i
$144$	−3.87541	−	0.884537i	−0.322951	−	0.0737114i
$145$	−6.66885	−	2.83129i	−0.553818	−	0.235126i
$146$		−	6.25336i		−	0.517531i
$147$	−7.33743	+	16.9688i	−0.605181	+	1.39956i
$148$	3.76208	+	3.76208i	0.309241	+	0.309241i
$149$	4.76975	+	9.90449i	0.390753	+	0.811408i	0.999833	+	0.0182982i	$0.00582483\pi$
$149$	4.76975	+	9.90449i	0.390753	+	0.811408i	−0.609079	+	0.793109i	$0.708461\pi$
$150$	4.57994	−	12.3855i	0.373951	−	1.01127i
$151$	−11.7559	+	14.7414i	−0.956680	+	1.19964i	0.0231346	+	0.999732i	$0.492635\pi$
$151$	−11.7559	+	14.7414i	−0.956680	+	1.19964i	−0.979815	+	0.199907i	$0.935936\pi$
$152$	−5.09343	+	3.20042i	−0.413132	+	0.259588i
$153$	8.63417	+	5.42521i	0.698031	+	0.438602i
$154$	9.04113	+	3.53132i	0.728555	+	0.284562i
$155$	16.2598	−	8.80068i	1.30602	−	0.706887i
$156$	5.58177	+	2.68804i	0.446899	+	0.215215i
$157$	4.94535	−	7.87048i	0.394682	−	0.628132i	−0.588982	−	0.808146i	$-0.700471\pi$
$157$	4.94535	−	7.87048i	0.394682	−	0.628132i	0.983664	+	0.180013i	$0.0576141\pi$
$158$	−6.84108	−	2.39380i	−0.544247	−	0.190440i
$159$	17.8858	+	22.4281i	1.41844	+	1.77866i
$160$	−0.837505	−	2.07330i	−0.0662106	−	0.163909i
$161$	5.44124	−	13.9310i	0.428830	−	1.09792i
$162$	4.83647	−	1.69235i	0.379989	−	0.132964i
$163$	1.23104	−	1.95919i	0.0964226	−	0.153456i	−0.795029	−	0.606571i	$-0.792545\pi$
$163$	1.23104	−	1.95919i	0.0964226	−	0.153456i	0.891452	+	0.453115i	$0.149687\pi$
$164$	5.57461	+	6.99034i	0.435304	+	0.545854i
$165$	1.40497	−	21.6197i	0.109377	−	1.68309i
$166$			3.43457i			0.266574i
$167$	1.66571	−	14.7836i	0.128897	−	1.14399i	−0.748131	−	0.663551i	$-0.769049\pi$
$167$	1.66571	−	14.7836i	0.128897	−	1.14399i	0.877028	−	0.480439i	$-0.159523\pi$
$168$	5.61535	−	4.15853i	0.433234	−	0.320837i
$169$	5.86163	+	4.67449i	0.450894	+	0.359576i
$170$	0.271248	+	5.72970i	0.0208038	+	0.439448i
$171$	−10.3750	+	21.5439i	−0.793395	+	1.64750i
$172$	3.17364	−	1.11050i	0.241988	−	0.0846752i
$173$	0.871546	+	7.73518i	0.0662624	+	0.588095i	0.982341	+	0.187097i	$0.0599079\pi$
$173$	0.871546	+	7.73518i	0.0662624	+	0.588095i	−0.916079	+	0.400998i	$0.868664\pi$
$174$	−5.33526	+	6.69021i	−0.404465	+	0.507183i
$175$	6.43078	+	11.5605i	0.486121	+	0.873891i
$176$	−2.28736	−	2.86826i	−0.172416	−	0.216203i
$177$	−23.0705	+	23.0705i	−1.73408	+	1.73408i
$178$	−0.432498	+	0.432498i	−0.0324171	+	0.0324171i
$179$	6.24171	−	4.97760i	0.466527	−	0.372043i	−0.361829	−	0.932244i	$-0.617848\pi$
$179$	6.24171	−	4.97760i	0.466527	−	0.372043i	0.828356	+	0.560201i	$0.189276\pi$
$180$	−7.20363	−	5.20709i	−0.536927	−	0.388114i
$181$	9.75722	−	20.2611i	0.725248	−	1.50599i	−0.132088	−	0.991238i	$-0.542168\pi$
$181$	9.75722	−	20.2611i	0.725248	−	1.50599i	0.857337	−	0.514756i	$-0.172117\pi$
$182$	−5.68445	+	2.49118i	−0.421359	+	0.184658i
$183$	−30.7120	−	10.7466i	−2.27030	−	0.794411i
$184$	−4.41955	+	3.52447i	−0.325813	+	0.259828i
$185$	4.45585	+	11.0308i	0.327601	+	0.810999i
$186$	−4.85922	−	21.2896i	−0.356295	−	1.56103i
$187$	3.10827	+	8.88293i	0.227299	+	0.649584i
$188$	−4.44473	−	7.07375i	−0.324165	−	0.515906i
$189$	2.47882	−	6.34644i	0.180308	−	0.461635i
$190$	−13.2802	+	2.13641i	−0.963449	+	0.154992i
$191$	−2.69400	+	11.8032i	−0.194931	+	0.854048i	0.778968	+	0.627064i	$0.215744\pi$
$191$	−2.69400	+	11.8032i	−0.194931	+	0.854048i	−0.973899	+	0.226984i	$0.927114\pi$
$192$	−2.62443	+	0.295702i	−0.189402	+	0.0213405i
$193$	2.57725	−	1.61940i	0.185515	−	0.116567i	−0.436073	−	0.899911i	$-0.643631\pi$
$193$	2.57725	−	1.61940i	0.185515	−	0.116567i	0.621587	+	0.783345i	$0.286488\pi$
$194$	−4.68682	+	2.25705i	−0.336494	+	0.162047i
$195$	9.13977	+	10.4102i	0.654513	+	0.745493i
$196$	−0.500269	+	6.98210i	−0.0357335	+	0.498721i
$197$	5.66543	−	5.66543i	0.403645	−	0.403645i	−0.475870	−	0.879516i	$-0.657867\pi$
$197$	5.66543	−	5.66543i	0.403645	−	0.403645i	0.879516	+	0.475870i	$0.157867\pi$
$198$	−13.7648	−	4.81649i	−0.978218	−	0.342293i
$199$	−1.70262	+	7.45965i	−0.120695	+	0.528801i	0.878043	+	0.478582i	$0.158849\pi$
$199$	−1.70262	+	7.45965i	−0.120695	+	0.528801i	−0.998738	+	0.0502189i	$0.984008\pi$
$200$	0.0879411	−	4.99923i	0.00621838	−	0.353499i
$201$	−24.8894	−	5.68083i	−1.75556	−	0.400695i
$202$	−6.64968	+	10.5829i	−0.467870	+	0.744611i
$203$	−1.60748	−	8.42031i	−0.112823	−	0.590990i
$204$	6.60511	+	1.50757i	0.462450	+	0.105551i
$205$	5.36551	+	19.2592i	0.374743	+	1.34512i
$206$	6.21160	−	1.41776i	0.432783	−	0.0987798i
$207$	−7.42149	+	21.2094i	−0.515829	+	1.47416i
$208$	2.33103	+	0.262644i	0.161628	+	0.0182111i
$209$	−19.8831	+	9.57518i	−1.37534	+	0.662329i
$210$	15.1917	−	3.65237i	1.04833	−	0.252037i
$211$	18.5888	+	8.95187i	1.27970	+	0.616272i	0.945314	−	0.326163i	$-0.105756\pi$
$211$	18.5888	+	8.95187i	1.27970	+	0.616272i	0.334389	+	0.942435i	$0.391470\pi$
$212$	9.19701	+	5.77887i	0.631653	+	0.396894i
$213$	10.0528	+	1.13268i	0.688805	+	0.0776097i
$214$			6.73930i			0.460689i
$215$	7.50255	+	0.487559i	0.511670	+	0.0332512i
$216$	−2.01338	+	1.60562i	−0.136993	+	0.109248i
$217$	19.3577	+	10.1904i	1.31409	+	0.691767i
$218$	−4.42826	+	0.498945i	−0.299919	+	0.0337928i
$219$	−12.9122	−	10.2971i	−0.872527	−	0.695817i
$220$	−2.20156	−	7.90238i	−0.148429	−	0.532778i
$221$	−5.42164	−	2.61093i	−0.364699	−	0.175630i
$222$	13.9630	−	1.57325i	0.937135	−	0.105590i
$223$	−0.406619	−	3.60884i	−0.0272292	−	0.241666i	−0.999953	−	0.00969933i	$-0.996913\pi$
$223$	−0.406619	−	3.60884i	−0.0272292	−	0.241666i	0.972724	−	0.231967i	$-0.0745160\pi$
$224$	1.48683	−	2.18846i	0.0993428	−	0.146222i
$225$	−10.2767	−	17.0123i	−0.685114	−	1.13416i
$226$	−11.4066			−0.758756
$227$	−5.84329	−	5.84329i	−0.387833	−	0.387833i	0.486081	−	0.873914i	$-0.338426\pi$
$227$	−5.84329	−	5.84329i	−0.387833	−	0.387833i	−0.873914	+	0.486081i	$0.838426\pi$
$228$	−1.77878	+	15.7872i	−0.117803	+	1.04553i
$229$	−6.25399	−	27.4005i	−0.413276	−	1.81068i	−0.568363	−	0.822778i	$-0.692423\pi$
$229$	−6.25399	−	27.4005i	−0.413276	−	1.81068i	0.155088	−	0.987901i	$-0.450434\pi$
$230$	−12.1764	+	3.39227i	−0.802886	+	0.223680i
$231$	22.1793	−	12.8536i	1.45929	−	0.845708i
$232$	−1.07012	+	3.05823i	−0.0702569	+	0.200783i
$233$	−0.452968	+	4.02020i	−0.0296749	+	0.263372i	0.970111	+	0.242663i	$0.0780210\pi$
$233$	−0.452968	+	4.02020i	−0.0296749	+	0.263372i	−0.999786	+	0.0207092i	$0.993408\pi$
$234$	8.40123	−	4.04582i	0.549206	−	0.264483i
$235$	−2.96704	−	18.4435i	−0.193549	−	1.20312i
$236$	−5.36007	+	11.1303i	−0.348911	+	0.724521i
$237$	−16.2078	+	10.1840i	−1.05281	+	0.661523i
$238$	−5.45426	+	4.03923i	−0.353547	+	0.261824i
$239$	13.6292	−	3.11078i	0.881601	−	0.201220i	0.242323	−	0.970196i	$-0.422091\pi$
$239$	13.6292	−	3.11078i	0.881601	−	0.201220i	0.639278	+	0.768976i	$0.279233\pi$
$240$	−5.66014	−	1.68471i	−0.365360	−	0.108747i
$241$	19.5478	+	15.5888i	1.25918	+	1.00417i	0.999257	+	0.0385377i	$0.0122700\pi$
$241$	19.5478	+	15.5888i	1.25918	+	1.00417i	0.259927	+	0.965628i	$0.416301\pi$
$242$	−1.30821	−	2.08201i	−0.0840951	−	0.133837i
$243$	7.02118	−	20.0654i	0.450409	−	1.28719i
$244$	−12.3201			−0.788716
$245$	−7.13093	+	13.9338i	−0.455578	+	0.890196i
$246$	23.6135			1.50554
$247$	4.66055	−	13.3191i	0.296544	−	0.847474i
$248$	−4.39905	−	7.00105i	−0.279340	−	0.444567i
$249$	7.09186	+	5.65557i	0.449428	+	0.358407i
$250$	4.54954	−	10.2128i	0.287738	−	0.645916i
$251$	19.4661	−	4.44302i	1.22869	−	0.280441i	0.441564	−	0.897230i	$-0.354424\pi$
$251$	19.4661	−	4.44302i	1.22869	−	0.280441i	0.787129	+	0.616789i	$0.211567\pi$
$252$	0.376052	−	10.5103i	0.0236890	−	0.662089i
$253$	−17.5595	+	11.0334i	−1.10395	+	0.693661i
$254$	6.40570	−	13.3016i	0.401929	−	0.834615i
$255$	12.2776	+	8.87479i	0.768854	+	0.555761i
$256$	−0.900969	+	0.433884i	−0.0563106	+	0.0271177i
$257$	2.53198	−	22.4720i	0.157941	−	1.40176i	−0.625465	−	0.780252i	$-0.715091\pi$
$257$	2.53198	−	22.4720i	0.157941	−	1.40176i	0.783406	−	0.621510i	$-0.213481\pi$
$258$	2.93288	−	8.38170i	0.182593	−	0.521822i
$259$	−7.91050	+	11.6434i	−0.491534	+	0.723489i
$260$	4.56834	+	2.57754i	0.283317	+	0.159852i
$261$	2.86595	+	12.5565i	0.177398	+	0.777230i
$262$	−0.867148	+	7.69616i	−0.0535726	+	0.475470i
$263$	8.92142	+	8.92142i	0.550119	+	0.550119i	0.926475	−	0.376356i	$-0.122823\pi$
$263$	8.92142	+	8.92142i	0.550119	+	0.550119i	−0.376356	+	0.926475i	$0.622823\pi$
$264$	−9.68901			−0.596317
$265$	13.8800	+	19.9311i	0.852639	+	1.22436i
$266$	−10.8443	−	11.6491i	−0.664906	−	0.714252i
$267$	0.180865	+	1.60522i	0.0110687	+	0.0982377i
$268$	−9.60566	+	1.08230i	−0.586759	+	0.0661119i
$269$	20.2844	+	9.76844i	1.23676	+	0.595593i	0.933931	−	0.357452i	$-0.116355\pi$
$269$	20.2844	+	9.76844i	1.23676	+	0.595593i	0.302829	+	0.953045i	$0.402069\pi$
$270$	−5.54709	+	1.54539i	−0.337585	+	0.0940493i
$271$	−13.7395	−	10.9569i	−0.834615	−	0.665583i	0.109940	−	0.993938i	$-0.464934\pi$
$271$	−13.7395	−	10.9569i	−0.834615	−	0.665583i	−0.944554	+	0.328355i	$0.893506\pi$
$272$	2.54914	−	0.287219i	0.154564	−	0.0174152i
$273$	−4.21645	+	15.8396i	−0.255191	+	0.958658i
$274$	1.80055	−	1.43589i	0.108775	−	0.0867454i
$275$	2.37406	−	18.1889i	0.143161	−	1.09683i
$276$			14.9293i			0.898638i
$277$	−28.9555	−	3.26250i	−1.73977	−	0.196025i	−0.815757	−	0.578395i	$-0.803679\pi$
$277$	−28.9555	−	3.26250i	−1.73977	−	0.196025i	−0.924009	+	0.382370i	$0.875108\pi$
$278$	11.5617	+	7.26469i	0.693424	+	0.435707i
$279$	−29.6126	−	14.2607i	−1.77286	−	0.853764i
$280$	4.97263	−	3.20515i	0.297171	−	0.191544i
$281$	−0.160388	+	0.0772387i	−0.00956794	+	0.00460768i	−0.438662	−	0.898652i	$-0.644547\pi$
$281$	−0.160388	+	0.0772387i	−0.00956794	+	0.00460768i	0.429094	+	0.903260i	$0.358833\pi$
$282$	−21.9252	−	2.47037i	−1.30562	−	0.147108i
$283$	10.2841	−	29.3903i	0.611326	−	1.74707i	−0.0519021	−	0.998652i	$-0.516528\pi$
$283$	10.2841	−	29.3903i	0.611326	−	1.74707i	0.663228	−	0.748417i	$-0.269186\pi$
$284$	3.73442	−	0.852358i	0.221597	−	0.0505781i
$285$	−17.4566	+	30.9396i	−1.03404	+	1.83270i
$286$	8.39006	+	1.91498i	0.496115	+	0.113235i
$287$	−15.4009	+	17.9555i	−0.909087	+	1.05988i
$288$	−2.11487	+	3.36579i	−0.124620	+	0.198331i
$289$	10.1581	+	2.31853i	0.597538	+	0.136384i
$290$	−4.87499	+	5.35950i	−0.286269	+	0.314720i
$291$	−3.05713	+	13.3942i	−0.179212	+	0.785180i
$292$	−5.90244	−	2.06535i	−0.345414	−	0.120866i
$293$	−14.6246	+	14.6246i	−0.854377	+	0.854377i	−0.990669	−	0.136292i	$-0.956482\pi$
$293$	−14.6246	+	14.6246i	−0.854377	+	0.854377i	0.136292	+	0.990669i	$0.456482\pi$
$294$	13.5932	+	12.5301i	0.792771	+	0.730771i
$295$	−20.7585	+	18.2251i	−1.20861	+	1.06111i
$296$	4.79351	−	2.30843i	0.278617	−	0.134175i
$297$	−7.99943	+	5.02637i	−0.464174	+	0.291660i
$298$	10.9240	−	1.23084i	0.632812	−	0.0713008i
$299$	2.95069	−	12.9278i	0.170643	−	0.747635i
$300$	−10.1778	−	8.41361i	−0.587617	−	0.485760i
$301$	4.46053	+	7.69676i	0.257101	+	0.443634i
$302$	10.0315	+	15.9650i	0.577245	+	0.918680i
$303$	10.9023	+	31.1570i	0.626321	+	1.78992i
$304$	1.33857	+	5.86464i	0.0767720	+	0.336360i
$305$	−25.3579	−	10.7658i	−1.45199	−	0.616450i
$306$	7.97245	−	6.35782i	0.455755	−	0.363452i
$307$	−4.85997	−	1.70058i	−0.277373	−	0.0970571i	0.188008	−	0.982168i	$-0.439797\pi$
$307$	−4.85997	−	1.70058i	−0.277373	−	0.0970571i	−0.465381	+	0.885110i	$0.654083\pi$
$308$	6.31925	−	7.36745i	0.360073	−	0.419799i
$309$	7.30094	−	15.1606i	0.415336	−	0.862454i
$310$	−2.93655	−	18.2540i	−0.166785	−	1.03676i
$311$	−10.9860	+	8.76106i	−0.622960	+	0.496794i	−0.883353	−	0.468709i	$-0.844719\pi$
$311$	−10.9860	+	8.76106i	−0.622960	+	0.496794i	0.260393	+	0.965503i	$0.416148\pi$
$312$	4.38074	−	4.38074i	0.248010	−	0.248010i
$313$	−8.17128	+	8.17128i	−0.461868	+	0.461868i	−0.899267	−	0.437399i	$-0.855900\pi$
$313$	−8.17128	+	8.17128i	−0.461868	+	0.461868i	0.437399	+	0.899267i	$0.355900\pi$
$314$	−5.79547	−	7.26728i	−0.327057	−	0.410117i
$315$	9.95837	−	21.3043i	0.561091	−	1.20036i
$316$	−4.51893	+	5.66656i	−0.254210	+	0.318769i
$317$	−1.10882	−	9.84104i	−0.0622774	−	0.552728i	−0.985647	−	0.168817i	$-0.946005\pi$
$317$	−1.10882	−	9.84104i	−0.0622774	−	0.552728i	0.923370	−	0.383911i	$-0.125423\pi$
$318$	27.0768	−	9.47459i	1.51839	−	0.531308i
$319$	−5.15739	+	10.7094i	−0.288759	+	0.599613i
$320$	−2.23357	+	0.105738i	−0.124860	+	0.00591096i
$321$	13.9156	+	11.0973i	0.776693	+	0.619392i
$322$	−11.3521	−	9.73702i	−0.632629	−	0.542623i
$323$	1.72776	−	15.3343i	0.0961349	−	0.853221i
$324$		−	5.12401i		−	0.284667i
$325$	7.15044	+	9.29724i	0.396635	+	0.515718i
$326$	−1.44266	−	1.80904i	−0.0799016	−	0.100193i
$327$	−6.26159	+	9.96526i	−0.346267	+	0.551080i
$328$	8.43925	−	2.95302i	0.465980	−	0.163053i
$329$	16.1782	−	15.0605i	0.891935	−	0.830314i
$330$	−19.9424	−	8.46665i	−1.09779	−	0.466074i
$331$	10.4605	+	13.1170i	0.574959	+	0.720976i	0.981244	−	0.192771i	$-0.0617474\pi$
$331$	10.4605	+	13.1170i	0.574959	+	0.720976i	−0.406285	+	0.913746i	$0.633176\pi$
$332$	3.24183	+	1.13437i	0.177919	+	0.0622565i
$333$	11.2519	−	17.9073i	0.616601	−	0.981315i
$334$	−13.4039	−	6.45496i	−0.733426	−	0.353199i
$335$	−20.7166	−	6.16618i	−1.13187	−	0.336895i
$336$	−2.07053	−	6.67371i	−0.112957	−	0.364081i
$337$	16.5548	+	10.4020i	0.901795	+	0.566636i	0.901219	−	0.433364i	$-0.142674\pi$
$337$	16.5548	+	10.4020i	0.901795	+	0.566636i	0.000576583		1.00000i	$0.499816\pi$
$338$	6.34815	−	3.98880i	0.345294	−	0.216962i
$339$	−18.7828	+	23.5529i	−1.02014	+	1.27922i
$340$	5.49776	+	1.63638i	0.298158	+	0.0887449i
$341$	−13.1613	−	27.3298i	−0.712725	−	1.47999i
$342$	16.9083	+	16.9083i	0.914294	+	0.914294i
$343$	−18.3934	+	2.16391i	−0.993151	+	0.116840i
$344$		−	3.36232i		−	0.181284i
$345$	−13.0458	+	30.7282i	−0.702364	+	1.65435i
$346$	7.58896	+	1.73213i	0.407985	+	0.0931199i
$347$	−0.741828	−	6.58391i	−0.0398234	−	0.353443i	−0.997784	−	0.0665416i	$-0.978803\pi$
$347$	−0.741828	−	6.58391i	−0.0398234	−	0.353443i	0.957960	−	0.286901i	$-0.0926251\pi$
$348$	4.55265	+	7.24550i	0.244048	+	0.388400i
$349$	5.36515	+	23.5062i	0.287190	+	1.25826i	0.888363	+	0.459142i	$0.151843\pi$
$349$	5.36515	+	23.5062i	0.287190	+	1.25826i	−0.601173	+	0.799119i	$0.705300\pi$
$350$	13.0357	−	2.25171i	0.696788	−	0.120359i
$351$	1.34422	−	5.88942i	0.0717492	−	0.314354i
$352$	−3.46277	+	1.21167i	−0.184566	+	0.0645824i
$353$	−1.56059	−	0.980581i	−0.0830616	−	0.0521911i	0.489861	−	0.871801i	$-0.337048\pi$
$353$	−1.56059	−	0.980581i	−0.0830616	−	0.0521911i	−0.572923	+	0.819610i	$0.694190\pi$
$354$	14.1561	+	29.3955i	0.752391	+	1.56236i
$355$	8.43121	+	1.50893i	0.447482	+	0.0800855i
$356$	0.265382	+	0.551072i	0.0140652	+	0.0292068i
$357$	−0.640929	+	17.9134i	−0.0339216	+	0.948080i
$358$	−2.63676	−	7.53544i	−0.139357	−	0.398260i
$359$	−9.94122	+	2.26902i	−0.524678	+	0.119754i	−0.476652	−	0.879092i	$-0.658150\pi$
$359$	−9.94122	+	2.26902i	−0.524678	+	0.119754i	−0.0480253	+	0.998846i	$0.515293\pi$
$360$	−7.29410	+	5.07959i	−0.384433	+	0.267718i
$361$	17.1857			0.904512
$362$	−15.9015	−	15.9015i	−0.835764	−	0.835764i
$363$	−6.45321	−	0.727102i	−0.338706	−	0.0381630i
$364$	0.473926	+	6.18824i	0.0248405	+	0.324352i
$365$	−10.3439	−	9.40881i	−0.541425	−	0.492480i
$366$	−20.2871	+	25.4392i	−1.06042	+	1.32973i
$367$	−0.999511	−	2.85644i	−0.0521740	−	0.149105i	0.914847	−	0.403800i	$-0.132311\pi$
$367$	−0.999511	−	2.85644i	−0.0521740	−	0.149105i	−0.967021	+	0.254695i	$0.918025\pi$
$368$	1.86701	+	5.33560i	0.0973244	+	0.278137i
$369$	22.1595	−	27.7871i	1.15358	−	1.44654i
$370$	11.8834	−	0.562570i	0.617791	−	0.0292466i
$371$	−10.4553	+	26.7684i	−0.542814	+	1.38975i
$372$	−21.6998	−	2.44498i	−1.12508	−	0.126766i
$373$	0.645489	+	0.645489i	0.0334222	+	0.0334222i	0.723620	−	0.690198i	$-0.242477\pi$
$373$	0.645489	+	0.645489i	0.0334222	+	0.0334222i	−0.690198	+	0.723620i	$0.742477\pi$
$374$	9.41105			0.486634
$375$	−13.5964	−	26.2111i	−0.702113	−	1.35354i
$376$	−8.14479	+	1.85900i	−0.420036	+	0.0958704i
$377$	−2.51027	−	7.17395i	−0.129286	−	0.369477i
$378$	−5.17160	−	4.43581i	−0.265998	−	0.228154i
$379$	1.14853	+	2.38496i	0.0589963	+	0.122507i	0.928382	−	0.371626i	$-0.121200\pi$
$379$	1.14853	+	2.38496i	0.0589963	+	0.122507i	−0.869386	+	0.494133i	$0.835485\pi$
$380$	−2.36966	+	13.2406i	−0.121561	+	0.679228i
$381$	−16.9177	−	35.1299i	−0.866719	−	1.79976i
$382$	10.2510	+	6.44116i	0.524489	+	0.329558i
$383$	12.9496	−	4.53124i	0.661691	−	0.231536i	0.0215204	−	0.999768i	$-0.493149\pi$
$383$	12.9496	−	4.53124i	0.661691	−	0.231536i	0.640171	+	0.768233i	$0.278864\pi$
$384$	−0.587686	+	2.57482i	−0.0299902	+	0.131396i
$385$	19.4446	−	9.64204i	0.990989	−	0.491404i
$386$	−0.677307	−	2.96748i	−0.0344740	−	0.151041i
$387$	−7.11086	−	11.3169i	−0.361465	−	0.575269i
$388$	0.582437	+	5.16927i	0.0295688	+	0.262430i
$389$	−4.35762	−	0.994597i	−0.220940	−	0.0504281i	0.110618	−	0.993863i	$-0.464717\pi$
$389$	−4.35762	−	0.994597i	−0.220940	−	0.0504281i	−0.331558	+	0.943435i	$0.607574\pi$
$390$	12.8447	−	5.18859i	0.650418	−	0.262735i
$391$		−	14.5010i		−	0.733347i
$392$	6.42506	+	2.77824i	0.324515	+	0.140322i
$393$	14.4635	+	14.4635i	0.729586	+	0.729586i
$394$	−3.47633	−	7.21868i	−0.175135	−	0.363672i
$395$	−14.2528	+	7.71439i	−0.717135	+	0.388153i
$396$	−9.09242	+	11.4015i	−0.456911	+	0.572948i
$397$	22.3911	−	14.0692i	1.12377	−	0.706114i	0.163881	−	0.986480i	$-0.447599\pi$
$397$	22.3911	−	14.0692i	1.12377	−	0.706114i	0.959893	+	0.280366i	$0.0904557\pi$
$398$	6.47870	+	4.07084i	0.324748	+	0.204053i
$399$	−41.9104	+	3.20971i	−2.09815	+	0.160686i
$400$	−4.68964	−	1.73415i	−0.234482	−	0.0867073i
$401$	17.5739	+	8.46315i	0.877599	+	0.422629i	0.817747	−	0.575578i	$-0.195223\pi$
$401$	17.5739	+	8.46315i	0.877599	+	0.422629i	0.0598521	+	0.998207i	$0.480937\pi$
$402$	−13.5825	+	21.6164i	−0.677432	+	1.07813i
$403$	18.3074	+	6.40605i	0.911958	+	0.319108i
$404$	7.79278	+	9.77184i	0.387705	+	0.486167i
$405$	4.47757	−	10.5465i	0.222492	−	0.524060i
$406$	−8.47871	−	1.26378i	−0.420791	−	0.0627202i
$407$	18.4233	−	6.44658i	0.913207	−	0.319545i
$408$	3.60450	−	5.73654i	0.178450	−	0.284001i
$409$	−2.00892	−	2.51911i	−0.0993348	−	0.124562i	0.729679	−	0.683789i	$-0.239669\pi$
$409$	−2.00892	−	2.51911i	−0.0993348	−	0.124562i	−0.829014	+	0.559227i	$0.811098\pi$
$410$	19.9506	+	1.29650i	0.985288	+	0.0640296i
$411$		−	6.08229i		−	0.300017i
$412$	0.713364	−	6.33128i	0.0351449	−	0.311920i
$413$	−31.5849	−	8.40780i	−1.55419	−	0.413721i
$414$	17.5680	+	14.0100i	0.863422	+	0.688556i
$415$	5.68125	+	5.16766i	0.278882	+	0.253670i
$416$	1.01780	−	2.11348i	0.0499016	−	0.103622i
$417$	34.0386	−	11.9106i	1.66688	−	0.583266i
$418$	2.47089	+	21.9298i	0.120855	+	1.07262i
$419$	10.8942	−	13.6609i	0.532217	−	0.667378i	−0.440936	−	0.897538i	$-0.645354\pi$
$419$	10.8942	−	13.6609i	0.532217	−	0.667378i	0.973153	+	0.230160i	$0.0739249\pi$
$420$	1.57009	−	15.5455i	0.0766126	−	0.758542i
$421$	−5.22724	−	6.55476i	−0.254760	−	0.319459i	0.637961	−	0.770069i	$-0.279778\pi$
$421$	−5.22724	−	6.55476i	−0.254760	−	0.319459i	−0.892721	+	0.450609i	$0.851207\pi$
$422$	14.5890	−	14.5890i	0.710181	−	0.710181i
$423$	−23.4821	+	23.4821i	−1.14174	+	1.14174i
$424$	8.49216	−	6.77227i	0.412416	−	0.328890i
$425$	9.88584	+	8.17224i	0.479534	+	0.396412i
$426$	4.38934	−	9.11455i	0.212664	−	0.441601i
$427$	−6.11236	−	32.0178i	−0.295798	−	1.54945i
$428$	6.36111	+	2.22585i	0.307476	+	0.107590i
$429$	17.7697	−	14.1709i	0.857929	−	0.684176i
$430$	2.93813	−	6.92051i	0.141689	−	0.333736i
$431$	−8.58764	−	37.6249i	−0.413652	−	1.81233i	−0.566480	−	0.824076i	$-0.691695\pi$
$431$	−8.58764	−	37.6249i	−0.413652	−	1.81233i	0.152827	−	0.988253i	$-0.451162\pi$
$432$	0.850537	+	2.43069i	0.0409215	+	0.116947i
$433$	−1.40068	−	2.22917i	−0.0673123	−	0.107127i	0.811372	−	0.584530i	$-0.198721\pi$
$433$	−1.40068	−	2.22917i	−0.0673123	−	0.107127i	−0.878684	+	0.477403i	$0.841578\pi$
$434$	16.0120	−	14.9058i	0.768599	−	0.715499i
$435$	3.03909	+	18.8914i	0.145713	+	0.905772i
$436$	−0.991615	+	4.34455i	−0.0474897	+	0.208066i
$437$	33.7905	−	3.80727i	1.61642	−	0.182126i
$438$	−13.9839	+	8.78669i	−0.668179	+	0.419844i
$439$	−26.4435	+	12.7345i	−1.26208	+	0.607784i	−0.940723	−	0.339175i	$-0.889852\pi$
$439$	−26.4435	+	12.7345i	−1.26208	+	0.607784i	−0.321354	+	0.946959i	$0.604138\pi$
$440$	−8.18606	−	0.531976i	−0.390255	−	0.0253610i
$441$	27.5010	−	4.23718i	1.30957	−	0.201770i
$442$	−4.25507	+	4.25507i	−0.202393	+	0.202393i
$443$	33.3164	+	11.6579i	1.58291	+	0.553885i	0.971420	−	0.237366i	$-0.0762841\pi$
$443$	33.3164	+	11.6579i	1.58291	+	0.553885i	0.611492	+	0.791251i	$0.290570\pi$
$444$	3.12672	−	13.6990i	0.148388	−	0.650128i
$445$	0.0646743	+	1.36615i	0.00306585	+	0.0647616i
$446$	−3.54062	−	0.808124i	−0.167653	−	0.0382658i
$447$	15.4467	−	24.5832i	0.730602	−	1.16275i
$448$	−1.57458	−	2.12619i	−0.0743920	−	0.100453i
$449$	−20.3432	−	4.64321i	−0.960057	−	0.219127i	−0.286350	−	0.958125i	$-0.592442\pi$
$449$	−20.3432	−	4.64321i	−0.960057	−	0.219127i	−0.673707	+	0.738999i	$0.735299\pi$
$450$	−19.4518	+	4.08119i	−0.916969	+	0.192389i
$451$	31.9788	−	7.29896i	1.50582	−	0.343695i
$452$	−3.76736	+	10.7665i	−0.177202	+	0.506414i
$453$	49.4836	+	5.57546i	2.32494	+	0.261958i
$454$	−7.44530	+	3.58547i	−0.349425	+	0.168274i
$455$	−4.43208	+	13.1511i	−0.207779	+	0.616533i
$456$	14.3137	+	6.89313i	0.670302	+	0.322800i
$457$	3.09698	+	1.94596i	0.144870	+	0.0910281i	0.602517	−	0.798106i	$-0.294165\pi$
$457$	3.09698	+	1.94596i	0.144870	+	0.0910281i	−0.457646	+	0.889134i	$0.651307\pi$
$458$	−27.9285	−	3.14678i	−1.30501	−	0.147040i
$459$		−	6.60610i		−	0.308347i
$460$	−0.819695	+	12.6135i	−0.0382185	+	0.588106i
$461$	−19.2024	+	15.3134i	−0.894347	+	0.713218i	−0.958612	−	0.284715i	$-0.908101\pi$
$461$	−19.2024	+	15.3134i	−0.894347	+	0.713218i	0.0642655	+	0.997933i	$0.479530\pi$
$462$	−4.80699	−	25.1800i	−0.223641	−	1.17148i
$463$	25.9303	−	2.92164i	1.20508	−	0.135780i	0.513508	−	0.858085i	$-0.328346\pi$
$463$	25.9303	−	2.92164i	1.20508	−	0.135780i	0.691575	+	0.722305i	$0.256917\pi$
$464$	2.53318	+	2.02014i	0.117600	+	0.0937826i
$465$	−42.5272	−	23.9946i	−1.97215	−	1.11272i
$466$	3.64500	+	1.75534i	0.168851	+	0.0813145i
$467$	8.34420	−	0.940166i	0.386124	−	0.0435057i	0.0832308	−	0.996530i	$-0.473476\pi$
$467$	8.34420	−	0.940166i	0.386124	−	0.0435057i	0.302893	+	0.953025i	$0.402048\pi$
$468$	−1.04403	−	9.26603i	−0.0482603	−	0.428322i
$469$	−7.57834	−	24.4264i	−0.349935	−	1.12791i
$470$	−18.3885	−	3.29097i	−0.848198	−	0.151801i
$471$	−24.5490			−1.13116
$472$	8.73539	+	8.73539i	0.402079	+	0.402079i
$473$	1.38110	−	12.2576i	0.0635029	−	0.563604i
$474$	4.25943	+	18.6618i	0.195642	+	0.857165i
$475$	−16.4475	+	25.1818i	−0.754664	+	1.15542i
$476$	2.01113	+	6.48226i	0.0921801	+	0.297114i
$477$	14.2604	−	40.7538i	0.652938	−	1.86599i
$478$	1.56523	−	13.8918i	0.0715921	−	0.635397i
$479$	−1.51428	+	0.729237i	−0.0691891	+	0.0333197i	−0.468158	−	0.883645i	$-0.655082\pi$
$479$	−1.51428	+	0.729237i	−0.0691891	+	0.0333197i	0.398969	+	0.916964i	$0.369368\pi$
$480$	−3.45959	+	4.78609i	−0.157908	+	0.218454i
$481$	−5.41508	+	11.2445i	−0.246906	+	0.512706i
$482$	21.1703	−	13.3022i	0.964280	−	0.605897i
$483$	−38.7985	+	7.40684i	−1.76539	+	0.337023i
$484$	−2.39725	+	0.547157i	−0.108966	+	0.0248708i
$485$	−3.31832	+	11.1486i	−0.150677	+	0.506233i
$486$	−16.6204	−	13.2543i	−0.753917	−	0.601229i
$487$	−11.9363	−	18.9965i	−0.540886	−	0.860815i	0.458729	−	0.888576i	$-0.348305\pi$
$487$	−11.9363	−	18.9965i	−0.540886	−	0.860815i	−0.999615	+	0.0277616i	$0.991162\pi$
$488$	−4.06908	+	11.6288i	−0.184199	+	0.526410i
$489$	−6.11096			−0.276347
$490$	10.7967	+	11.3328i	0.487743	+	0.511963i
$491$	5.43326			0.245200			0.122600	−	0.992456i	$-0.460877\pi$
$491$	5.43326			0.245200			0.122600	+	0.992456i	$0.460877\pi$
$492$	7.79904	−	22.2884i	0.351608	−	1.00484i
$493$	−4.42205	−	7.03765i	−0.199159	−	0.316960i
$494$	−11.0324	−	8.79804i	−0.496371	−	0.395843i
$495$	−28.6776	+	15.5219i	−1.28896	+	0.697657i
$496$	−8.06109	+	1.83989i	−0.361954	+	0.0826136i
$497$	4.06787	+	9.28221i	0.182469	+	0.416364i
$498$	7.68049	−	4.82597i	0.344171	−	0.216257i
$499$	9.45561	−	19.6348i	0.423291	−	0.878973i	−0.574863	−	0.818249i	$-0.694945\pi$
$499$	9.45561	−	19.6348i	0.423291	−	0.878973i	0.998155	−	0.0607238i	$-0.0193409\pi$
$500$	−8.13710	−	7.66731i	−0.363902	−	0.342893i
$501$	−35.4001	+	17.0478i	−1.58156	+	0.761638i
$502$	2.23557	−	19.8412i	0.0997782	−	0.885556i
$503$	13.0410	−	37.2690i	0.581469	−	1.66174i	−0.157115	−	0.987580i	$-0.550219\pi$
$503$	13.0410	−	37.2690i	0.581469	−	1.66174i	0.738583	−	0.674162i	$-0.235495\pi$
$504$	−9.79633	−	3.82629i	−0.436363	−	0.170437i
$505$	7.50047	+	26.9226i	0.333767	+	1.19804i
$506$	4.61467	+	20.2182i	0.205147	+	0.898808i
$507$	2.21697	−	19.6761i	0.0984591	−	0.873848i
$508$	−10.4395	−	10.4395i	−0.463176	−	0.463176i
$509$	−36.3165			−1.60970			−0.804850	−	0.593478i	$-0.797754\pi$
$509$	−36.3165			−1.60970			−0.804850	+	0.593478i	$0.797754\pi$
$510$	12.4318	−	8.65747i	0.550489	−	0.383359i
$511$	2.43911	−	16.3640i	0.107900	−	0.723903i
$512$	0.111964	+	0.993712i	0.00494818	+	0.0439163i
$513$	15.3936	−	1.73445i	0.679646	−	0.0765777i
$514$	−20.3746	−	9.81191i	−0.898687	−	0.432785i
$515$	7.00082	−	12.4080i	0.308493	−	0.546762i
$516$	−6.94267	−	5.53660i	−0.305634	−	0.243735i
$517$	−30.4560	+	3.43157i	−1.33945	+	0.150920i
$518$	8.37739	+	11.3122i	0.368081	+	0.497028i
$519$	16.0730	−	12.8178i	0.705527	−	0.562639i
$520$	3.94173	−	3.46068i	0.172856	−	0.151761i
$521$		−	8.36334i		−	0.366404i	−0.983075	−	0.183202i	$-0.941354\pi$
$521$		−	8.36334i		−	0.366404i	0.983075	−	0.183202i	$-0.0586463\pi$
$522$	12.7985	+	1.44204i	0.560174	+	0.0631164i
$523$	−10.6075	−	6.66511i	−0.463832	−	0.291445i	0.279770	−	0.960067i	$-0.409742\pi$
$523$	−10.6075	−	6.66511i	−0.463832	−	0.291445i	−0.743603	+	0.668622i	$0.766885\pi$
$524$	6.97787	+	3.36037i	0.304830	+	0.146798i
$525$	16.8159	−	30.6245i	0.733908	−	1.33656i
$526$	11.3673	−	5.47422i	0.495640	−	0.238688i
$527$	21.0773	+	2.37484i	0.918142	+	0.103450i
$528$	−3.20008	+	9.14529i	−0.139265	+	0.397998i
$529$	8.72982	−	1.99252i	0.379557	−	0.0866315i
$530$	23.3969	−	6.51824i	1.01630	−	0.283134i
$531$	47.8757	+	10.9273i	2.07763	+	0.474205i
$532$	−14.5770	+	6.38830i	−0.631994	+	0.276968i
$533$	−11.1586	+	17.7589i	−0.483334	+	0.769222i
$534$	1.57487	+	0.359455i	0.0681514	+	0.0155551i
$535$	11.1477	+	10.1400i	0.481958	+	0.438389i
$536$	−2.15099	+	9.42409i	−0.0929085	+	0.407059i
$537$	−19.9014	−	6.96379i	−0.858808	−	0.300510i
$538$	15.9198	−	15.9198i	0.686350	−	0.686350i
$539$	22.2818	+	12.7674i	0.959746	+	0.549931i
$540$	−0.373422	+	5.74622i	−0.0160695	+	0.247278i
$541$	20.2331	−	9.74372i	0.869887	−	0.418915i	0.0549663	−	0.998488i	$-0.482495\pi$
$541$	20.2331	−	9.74372i	0.869887	−	0.418915i	0.814920	+	0.579573i	$0.196781\pi$
$542$	−14.8799	+	9.34965i	−0.639146	+	0.401602i
$543$	−59.0184	+	6.64978i	−2.53272	+	0.285369i
$544$	0.570827	−	2.50095i	0.0244740	−	0.107228i
$545$	−5.83744	+	8.07566i	−0.250048	+	0.345923i
$546$	13.5581	+	9.21134i	0.580235	+	0.394209i
$547$	−12.6501	−	20.1326i	−0.540881	−	0.860807i	0.458734	−	0.888574i	$-0.348303\pi$
$547$	−12.6501	−	20.1326i	−0.540881	−	0.860807i	−0.999614	+	0.0277672i	$0.991160\pi$
$548$	−0.760630	−	2.17376i	−0.0324925	−	0.0928582i
$549$	10.8976	+	47.7456i	0.465099	+	2.03773i
$550$	−16.3841	−	8.24825i	−0.698620	−	0.351707i
$551$	15.2382	−	12.1521i	0.649170	−	0.517695i
$552$	14.0915	+	4.93083i	0.599775	+	0.209870i
$553$	−16.9683	−	8.93255i	−0.721567	−	0.379851i
$554$	−12.6428	+	26.2531i	−0.537142	+	1.11539i
$555$	18.4064	−	25.4638i	0.781307	−	1.08088i
$556$	10.6756	−	8.51351i	0.452746	−	0.361053i
$557$	−8.63731	+	8.63731i	−0.365974	+	0.365974i	−0.866007	−	0.500032i	$-0.833321\pi$
$557$	−8.63731	+	8.63731i	−0.365974	+	0.365974i	0.500032	+	0.866007i	$0.333321\pi$
$558$	−23.2408	+	23.2408i	−0.983862	+	0.983862i
$559$	4.91764	+	6.16652i	0.207994	+	0.260816i
$560$	−1.38293	−	5.75217i	−0.0584395	−	0.243074i
$561$	15.4968	−	19.4324i	0.654275	−	0.820435i
$562$	0.0199316	+	0.176898i	0.000840764	+	0.00746198i
$563$	−5.62412	+	1.96797i	−0.237029	+	0.0829399i	−0.446180	−	0.894943i	$-0.647216\pi$
$563$	−5.62412	+	1.96797i	−0.237029	+	0.0829399i	0.209151	+	0.977883i	$0.432930\pi$
$564$	−9.57316	+	19.8789i	−0.403103	+	0.837052i
$565$	−17.1624	+	18.8681i	−0.722028	+	0.793787i
$566$	−24.3444	−	19.4140i	−1.02327	−	0.816030i
$567$	13.3164	−	2.54216i	0.559235	−	0.106761i
$568$	0.428876	−	3.80638i	0.0179952	−	0.159712i
$569$		−	5.86974i		−	0.246072i	−0.992402	−	0.123036i	$-0.960737\pi$
$569$		−	5.86974i		−	0.246072i	0.992402	−	0.123036i	$-0.0392631\pi$
$570$	23.4378	+	26.6957i	0.981700	+	1.11816i
$571$	24.5836	+	30.8269i	1.02879	+	1.29006i	0.956203	+	0.292703i	$0.0945547\pi$
$571$	24.5836	+	30.8269i	1.02879	+	1.29006i	0.0725889	+	0.997362i	$0.476874\pi$
$572$	4.57858	−	7.28676i	0.191440	−	0.304675i
$573$	30.1800	−	10.5604i	1.26079	−	0.441168i
$574$	11.8613	+	20.4670i	0.495082	+	0.854276i
$575$	−12.7093	+	25.2454i	−0.530015	+	1.05281i
$576$	2.47842	+	3.10784i	0.103267	+	0.129493i
$577$	−4.19787	−	1.46890i	−0.174760	−	0.0611511i	0.241481	−	0.970406i	$-0.422367\pi$
$577$	−4.19787	−	1.46890i	−0.174760	−	0.0611511i	−0.416241	+	0.909255i	$0.636653\pi$
$578$	5.54345	−	8.82234i	0.230577	−	0.366961i
$579$	−7.24268	−	3.48789i	−0.300995	−	0.144952i
$580$	3.44863	+	6.37155i	0.143197	+	0.264564i
$581$	−1.33965	+	8.98773i	−0.0555780	+	0.372874i
$582$	11.6328	+	7.30938i	0.482196	+	0.302984i
$583$	33.7405	−	21.2006i	1.39739	−	0.878038i
$584$	−3.89890	+	4.88907i	−0.161338	+	0.202311i
$585$	5.94816	−	19.9841i	0.245926	−	0.826243i
$586$	8.97370	+	18.6341i	0.370700	+	0.769767i
$587$	10.4700	+	10.4700i	0.432143	+	0.432143i	0.889357	−	0.457213i	$-0.151152\pi$
$587$	10.4700	+	10.4700i	0.432143	+	0.432143i	−0.457213	+	0.889357i	$0.651152\pi$
$588$	16.3165	−	8.69195i	0.672882	−	0.358450i
$589$			49.7382i			2.04943i
$590$	10.3463	+	25.6130i	0.425950	+	1.05447i
$591$	−20.6298	−	4.70862i	−0.848596	−	0.193687i
$592$	−0.595695	−	5.28694i	−0.0244829	−	0.217292i
$593$	2.61930	+	4.16860i	0.107562	+	0.171184i	0.896168	−	0.443715i	$-0.146340\pi$
$593$	2.61930	+	4.16860i	0.107562	+	0.171184i	−0.788606	+	0.614899i	$0.789197\pi$
$594$	2.10227	+	9.21063i	0.0862570	+	0.377917i
$595$	−1.52505	+	15.0995i	−0.0625209	+	0.619020i
$596$	2.44621	−	10.7175i	0.100201	−	0.439007i
$597$	19.0739	−	6.67424i	0.780642	−	0.273158i
$598$	−11.2278	−	7.05489i	−0.459139	−	0.288496i
$599$	7.84049	+	16.2809i	0.320354	+	0.665221i	0.997503	−	0.0706244i	$-0.0224992\pi$
$599$	7.84049	+	16.2809i	0.320354	+	0.665221i	−0.677149	+	0.735846i	$0.736785\pi$
$600$	−11.3030	+	6.82784i	−0.461442	+	0.278745i
$601$	−9.53014	−	19.7895i	−0.388743	−	0.807232i	−0.999877	−	0.0157053i	$-0.995001\pi$
$601$	−9.53014	−	19.7895i	−0.388743	−	0.807232i	0.611134	−	0.791527i	$-0.290714\pi$
$602$	8.73806	−	1.66814i	0.356137	−	0.0679884i
$603$	12.6909	+	36.2686i	0.516814	+	1.47697i
$604$	18.3822	−	4.19563i	0.747963	−	0.170718i
$605$	−5.41227	−	0.968629i	−0.220040	−	0.0393804i
$606$	33.0094			1.34091
$607$	7.14853	+	7.14853i	0.290150	+	0.290150i	0.837140	−	0.546989i	$-0.184226\pi$
$607$	7.14853	+	7.14853i	0.290150	+	0.290150i	−0.546989	+	0.837140i	$0.684226\pi$
$608$	5.97763	+	0.673518i	0.242425	+	0.0273147i
$609$	−16.5710	+	15.4262i	−0.671493	+	0.625102i
$610$	−18.5369	+	20.3792i	−0.750537	+	0.825130i
$611$	12.2187	−	15.3218i	0.494315	−	0.619852i
$612$	−3.36790	−	9.62492i	−0.136139	−	0.389064i
$613$	1.51456	+	4.32837i	0.0611725	+	0.174821i	0.970413	−	0.241449i	$-0.0776227\pi$
$613$	1.51456	+	4.32837i	0.0611725	+	0.174821i	−0.909241	+	0.416270i	$0.863337\pi$
$614$	−3.21030	+	4.02558i	−0.129557	+	0.162459i
$615$	35.5289	−	39.0599i	1.43266	−	1.57505i
$616$	−4.86690	−	8.39795i	−0.196093	−	0.338363i
$617$	36.0124	+	4.05763i	1.44981	+	0.163354i	0.801486	−	0.598014i	$-0.204043\pi$
$617$	36.0124	+	4.05763i	1.44981	+	0.163354i	0.648320	+	0.761368i	$0.275472\pi$
$618$	−11.8985	−	11.8985i	−0.478626	−	0.478626i
$619$	−14.8745			−0.597858			−0.298929	−	0.954275i	$-0.596629\pi$
$619$	−14.8745			−0.597858			−0.298929	+	0.954275i	$0.596629\pi$
$620$	−18.1995	−	3.25715i	−0.730911	−	0.130810i
$621$	14.1922	−	3.23927i	0.569513	−	0.129988i
$622$	4.64097	+	13.2631i	0.186086	+	0.531803i
$623$	−1.30047	+	0.963083i	−0.0521024	+	0.0385851i
$624$	−2.68804	−	5.58177i	−0.107608	−	0.223450i
$625$	−10.0482	−	22.8918i	−0.401927	−	0.915672i
$626$	5.01393	+	10.4115i	0.200397	+	0.416129i
$627$	49.3503	+	31.0089i	1.97086	+	1.23837i
$628$	−8.77359	+	3.07001i	−0.350104	+	0.122507i
$629$	−3.03702	+	13.3061i	−0.121094	+	0.530547i
$630$	−16.8197	−	16.4359i	−0.670114	−	0.654822i
$631$	8.88351	+	38.9212i	0.353647	+	1.54943i	0.768687	+	0.639626i	$0.220911\pi$
$631$	8.88351	+	38.9212i	0.353647	+	1.54943i	−0.415040	+	0.909803i	$0.636232\pi$
$632$	3.85607	+	6.13689i	0.153386	+	0.244113i
$633$	−6.10092	−	54.1471i	−0.242490	−	2.15216i
$634$	−9.65501	−	2.20369i	−0.383449	−	0.0875198i
$635$	−12.3646	−	30.6095i	−0.490675	−	1.21470i
$636$		−	28.6866i		−	1.13750i
$637$	−15.8470	+	4.30181i	−0.627880	+	0.170444i
$638$	8.40508	+	8.40508i	0.332760	+	0.332760i
$639$	−6.60647	−	13.7185i	−0.261348	−	0.542695i
$640$	−0.637896	+	2.14315i	−0.0252150	+	0.0847154i
$641$	12.0202	−	15.0729i	0.474770	−	0.595343i	−0.485562	−	0.874202i	$-0.661385\pi$
$641$	12.0202	−	15.0729i	0.474770	−	0.595343i	0.960332	+	0.278859i	$0.0899563\pi$
$642$	15.0706	−	9.46949i	0.594790	−	0.373731i
$643$	−38.6518	−	24.2866i	−1.52428	−	0.957768i	−0.993933	−	0.109987i	$-0.964919\pi$
$643$	−38.6518	−	24.2866i	−1.52428	−	0.957768i	−0.530346	−	0.847781i	$-0.677938\pi$
$644$	−12.9400	+	7.49915i	−0.509907	+	0.295508i
$645$	−9.45167	−	17.4625i	−0.372159	−	0.687586i
$646$	−13.9031	−	6.69538i	−0.547010	−	0.263426i
$647$	−0.293613	+	0.467282i	−0.0115431	+	0.0183708i	−0.852446	−	0.522815i	$-0.824882\pi$
$647$	−0.293613	+	0.467282i	−0.0115431	+	0.0183708i	0.840903	+	0.541186i	$0.182025\pi$
$648$	−4.83647	−	1.69235i	−0.189994	−	0.0664819i
$649$	28.2574	+	35.4336i	1.10920	+	1.39089i
$650$	11.1371	−	3.67850i	0.436835	−	0.144283i
$651$	−4.41182	−	57.6069i	−0.172913	−	2.25779i
$652$	−2.18400	+	0.764215i	−0.0855321	+	0.0299290i
$653$	−17.2658	+	27.4783i	−0.675661	+	1.07531i	0.316287	+	0.948664i	$0.397564\pi$
$653$	−17.2658	+	27.4783i	−0.675661	+	1.07531i	−0.991948	+	0.126645i	$0.959579\pi$
$654$	7.33797	+	9.20152i	0.286937	+	0.359808i
$655$	11.4258	+	13.0140i	0.446443	+	0.508500i
$656$		−	8.94099i		−	0.349087i
$657$	−2.78316	+	24.7013i	−0.108582	+	0.963688i
$658$	−8.87205	−	20.2445i	−0.345869	−	0.789214i
$659$	32.3869	+	25.8277i	1.26161	+	1.00610i	0.999153	+	0.0411610i	$0.0131057\pi$
$659$	32.3869	+	25.8277i	1.26161	+	1.00610i	0.262461	+	0.964942i	$0.415466\pi$
$660$	−14.5781	+	16.0270i	−0.567452	+	0.623848i
$661$	−15.0677	+	31.2884i	−0.586065	+	1.21698i	0.371412	+	0.928468i	$0.378874\pi$
$661$	−15.0677	+	31.2884i	−0.586065	+	1.21698i	−0.957477	+	0.288509i	$0.906841\pi$
$662$	15.8358	−	5.54118i	0.615475	−	0.215364i
$663$	1.77941	+	15.7927i	0.0691065	+	0.613337i
$664$	2.14142	−	2.68526i	0.0831032	−	0.104208i
$665$	−35.5856	+	0.410722i	−1.37995	+	0.0159271i
$666$	−13.1862	−	16.5349i	−0.510953	−	0.640715i
$667$	12.9510	−	12.9510i	0.501463	−	0.501463i
$668$	−10.5197	+	10.5197i	−0.407021	+	0.407021i
$669$	−7.49885	+	5.98014i	−0.289922	+	0.231205i
$670$	−12.6624	+	17.5175i	−0.489192	+	0.676761i
$671$	−19.6107	+	40.7221i	−0.757064	+	1.57206i
$672$	−6.98306	−	0.249849i	−0.269377	−	0.00963812i
$673$	−38.4133	−	13.4414i	−1.48072	−	0.518128i	−0.535495	−	0.844538i	$-0.679875\pi$
$673$	−38.4133	−	13.4414i	−1.48072	−	0.518128i	−0.945228	+	0.326411i	$0.894161\pi$
$674$	15.2860	−	12.1902i	0.588795	−	0.469548i
$675$	−5.78988	+	11.5009i	−0.222852	+	0.442668i
$676$	−1.66831	−	7.30933i	−0.0641656	−	0.281128i
$677$	−11.3985	−	32.5750i	−0.438080	−	1.25196i	−0.925485	−	0.378784i	$-0.876342\pi$
$677$	−11.3985	−	32.5750i	−0.438080	−	1.25196i	0.487405	−	0.873176i	$-0.337943\pi$
$678$	16.0276	+	25.5078i	0.615537	+	0.979621i
$679$	−13.1450	+	4.07827i	−0.504460	+	0.156510i
$680$	3.36034	−	4.64878i	0.128863	−	0.178273i
$681$	−4.85644	+	21.2774i	−0.186099	+	0.815353i
$682$	−30.1430	+	3.39630i	−1.15424	+	0.130051i
$683$	−31.0418	+	19.5049i	−1.18778	+	0.746333i	−0.973107	−	0.230352i	$-0.926012\pi$
$683$	−31.0418	+	19.5049i	−1.18778	+	0.746333i	−0.214675	+	0.976685i	$0.568869\pi$
$684$	21.5439	−	10.3750i	0.823750	−	0.396697i
$685$	0.333949	−	5.13881i	0.0127595	−	0.196344i
$686$	−4.03248	+	18.0759i	−0.153961	+	0.690142i
$687$	−52.4863	+	52.4863i	−2.00248	+	2.00248i
$688$	−3.17364	−	1.11050i	−0.120994	−	0.0423376i
$689$	−5.66975	+	24.8408i	−0.216000	+	0.946358i
$690$	24.6951	+	22.4626i	0.940127	+	0.855138i
$691$	−45.0479	−	10.2819i	−1.71370	−	0.391142i	−0.750703	−	0.660640i	$-0.770285\pi$
$691$	−45.0479	−	10.2819i	−1.71370	−	0.391142i	−0.963001	+	0.269498i	$0.913142\pi$
$692$	4.14140	−	6.59101i	0.157433	−	0.250553i
$693$	−34.1415	−	17.9729i	−1.29693	−	0.682735i
$694$	−6.45945	−	1.47433i	−0.245197	−	0.0559647i
$695$	29.4125	−	8.19416i	1.11568	−	0.310822i
$696$	8.34255	−	1.90413i	0.316224	−	0.0721760i
$697$	−7.57530	+	21.6490i	−0.286935	+	0.820013i
$698$	23.9592	+	2.69955i	0.906867	+	0.102179i
$699$	9.62657	−	4.63591i	0.364110	−	0.175346i
$700$	2.18007	−	13.0479i	0.0823988	−	0.493164i
$701$	−39.3772	−	18.9631i	−1.48726	−	0.716226i	−0.498659	−	0.866798i	$-0.666174\pi$
$701$	−39.3772	−	18.9631i	−1.48726	−	0.716226i	−0.988599	+	0.150573i	$0.951888\pi$
$702$	−5.11496	−	3.21394i	−0.193052	−	0.121302i
$703$	−31.8033	−	3.58338i	−1.19949	−	0.135150i
$704$			3.66864i			0.138267i
$705$	−37.0750	+	32.5503i	−1.39632	+	1.22592i
$706$	−1.44098	+	1.14915i	−0.0542321	+	0.0432487i
$707$	−21.5290	+	25.1001i	−0.809682	+	0.943986i
$708$	32.4214	−	3.65302i	1.21847	−	0.137289i
$709$	0.521861	+	0.416170i	0.0195989	+	0.0156296i	0.633240	−	0.773955i	$-0.281724\pi$
$709$	0.521861	+	0.416170i	0.0195989	+	0.0156296i	−0.613641	+	0.789585i	$0.710296\pi$
$710$	4.20890	−	7.45971i	0.157957	−	0.279958i
$711$	25.9574	+	12.5004i	0.973480	+	0.468803i
$712$	0.607798	−	0.0684824i	0.0227782	−	0.00256649i
$713$	5.23319	+	46.4458i	0.195984	+	1.73941i
$714$	16.6965	+	6.52140i	0.624851	+	0.244057i
$715$	15.7913	−	10.9970i	0.590563	−	0.411266i
$716$	−7.98345			−0.298355
$717$	−26.1071	−	26.1071i	−0.974986	−	0.974986i
$718$	−1.14169	+	10.1328i	−0.0426074	+	0.378151i
$719$	0.998163	+	4.37324i	0.0372252	+	0.163094i	0.990124	−	0.140194i	$-0.0447726\pi$
$719$	0.998163	+	4.37324i	0.0372252	+	0.163094i	−0.952899	+	0.303288i	$0.901915\pi$
$720$	2.38545	+	8.56246i	0.0889006	+	0.319104i
$721$	16.8078	−	1.28722i	0.625954	−	0.0479387i
$722$	5.67609	−	16.2213i	0.211242	−	0.603695i
$723$	7.39332	−	65.6175i	0.274960	−	2.44034i
$724$	−20.2611	+	9.75722i	−0.752997	+	0.362624i
$725$	1.53043	+	16.1278i	0.0568388	+	0.598972i
$726$	−2.81766	+	5.85093i	−0.104573	+	0.217148i
$727$	−7.75563	+	4.87319i	−0.287641	+	0.180737i	−0.668121	−	0.744052i	$-0.732901\pi$
$727$	−7.75563	+	4.87319i	−0.287641	+	0.180737i	0.380481	+	0.924789i	$0.375758\pi$
$728$	5.99750	+	1.59651i	0.222282	+	0.0591708i
$729$	−39.7497	+	9.07261i	−1.47221	+	0.336023i
$730$	−12.2972	+	6.65592i	−0.455140	+	0.246347i
$731$	6.74351	+	5.37777i	0.249418	+	0.198904i
$732$	17.3112	+	27.5507i	0.639841	+	1.01830i
$733$	7.23617	−	20.6798i	0.267274	−	0.763825i	−0.729531	−	0.683948i	$-0.760262\pi$
$733$	7.23617	−	20.6798i	0.267274	−	0.763825i	0.996805	−	0.0798770i	$-0.0254528\pi$
$734$	−3.02626			−0.111701
$735$	41.1789	−	3.63217i	1.51891	−	0.133975i
$736$	5.65282			0.208366
$737$	−11.7126	+	33.4726i	−0.431438	+	1.23298i
$738$	−18.9090	−	30.0935i	−0.696050	−	1.10776i
$739$	15.8746	+	12.6595i	0.583955	+	0.465689i	0.870357	−	0.492421i	$-0.163888\pi$
$739$	15.8746	+	12.6595i	0.583955	+	0.465689i	−0.286402	+	0.958109i	$0.592459\pi$
$740$	3.39385	−	11.4024i	0.124761	−	0.419160i
$741$	−36.3332	+	8.29281i	−1.33473	+	0.304644i
$742$	21.8131	+	18.7097i	0.800784	+	0.686853i
$743$	20.2535	−	12.7261i	0.743028	−	0.466875i	−0.106571	−	0.994305i	$-0.533987\pi$
$743$	20.2535	−	12.7261i	0.743028	−	0.466875i	0.849599	+	0.527430i	$0.176844\pi$
$744$	−9.47478	+	19.6746i	−0.347362	+	0.721305i
$745$	14.4003	−	19.9218i	0.527587	−	0.729878i
$746$	0.822458	−	0.396075i	0.0301123	−	0.0145013i
$747$	1.52861	−	13.5668i	0.0559291	−	0.496384i
$748$	3.10827	−	8.88293i	0.113650	−	0.324792i
$749$	−2.62865	+	17.6357i	−0.0960488	+	0.644393i
$750$	−29.2308	+	4.17640i	−1.06736	+	0.152500i
$751$	−6.53723	−	28.6415i	−0.238547	−	1.04514i	−0.942319	−	0.334716i	$-0.891360\pi$
$751$	−6.53723	−	28.6415i	−0.238547	−	1.04514i	0.703772	−	0.710426i	$-0.251498\pi$
$752$	−0.935379	+	8.30172i	−0.0341098	+	0.302733i
$753$	−37.2878	−	37.2878i	−1.35884	−	1.35884i
$754$	−7.60046			−0.276792
$755$	41.5016	+	7.42750i	1.51040	+	0.270314i
$756$	−5.89496	+	3.41633i	−0.214398	+	0.124251i
$757$	1.57104	+	13.9433i	0.0571002	+	0.506779i	0.989413	+	0.145126i	$0.0463588\pi$
$757$	1.57104	+	13.9433i	0.0571002	+	0.506779i	−0.932313	+	0.361653i	$0.882213\pi$
$758$	2.63046	−	0.296381i	0.0955425	−	0.0107651i
$759$	49.3462	+	23.7639i	1.79115	+	0.862574i
$760$	11.7149	+	6.60977i	0.424945	+	0.239762i
$761$	21.4992	+	17.1450i	0.779344	+	0.621506i	0.930201	−	0.367050i	$-0.119632\pi$
$761$	21.4992	+	17.1450i	0.779344	+	0.621506i	−0.150858	+	0.988556i	$0.548203\pi$
$762$	−38.7461	+	4.36564i	−1.40362	+	0.158150i
$763$	−11.7827	−	0.421575i	−0.426561	−	0.0152620i
$764$	9.46541	−	7.54841i	0.342447	−	0.273092i
$765$	1.47865	−	22.7535i	0.0534608	−	0.822655i
$766$		−	13.7194i		−	0.495704i
$767$	−28.7969	−	3.24463i	−1.03980	−	0.117157i
$768$	2.23623	+	1.40512i	0.0806930	+	0.0507028i
$769$	28.7769	+	13.8582i	1.03772	+	0.499740i	0.873572	−	0.486696i	$-0.161798\pi$
$769$	28.7769	+	13.8582i	1.03772	+	0.499740i	0.164149	+	0.986436i	$0.447512\pi$
$770$	−2.67882	−	21.5380i	−0.0965380	−	0.776176i
$771$	−53.8102	+	25.9136i	−1.93793	+	0.933256i
$772$	−3.02465	−	0.340797i	−0.108860	−	0.0122655i
$773$	0.0993014	−	0.283787i	0.00357162	−	0.0102071i	−0.942084	−	0.335378i	$-0.891136\pi$
$773$	0.0993014	−	0.283787i	0.00357162	−	0.0102071i	0.945655	+	0.325171i	$0.105422\pi$
$774$	−13.0304	+	2.97410i	−0.468367	+	0.106902i
$775$	−34.6130	−	22.6075i	−1.24334	−	0.812087i
$776$	5.07155	+	1.15755i	0.182058	+	0.0415536i
$777$	37.1526	+	1.32929i	1.33284	+	0.0476881i
$778$	−2.37801	+	3.78459i	−0.0852559	+	0.135684i
$779$	−52.4356	−	11.9681i	−1.87870	−	0.428801i
$780$	−0.655081	−	13.8376i	−0.0234557	−	0.495466i
$781$	3.12699	−	13.7002i	0.111893	−	0.490233i
$782$	−13.6873	−	4.78938i	−0.489455	−	0.171268i
$783$	5.89996	−	5.89996i	0.210847	−	0.210847i
$784$	4.74439	−	5.14691i	0.169443	−	0.183818i
$785$	−20.7410	−	1.34787i	−0.740277	−	0.0481074i
$786$	18.4288	−	8.87485i	0.657334	−	0.316555i
$787$	−11.7522	+	7.38441i	−0.418921	+	0.263226i	−0.724957	−	0.688794i	$-0.758140\pi$
$787$	−11.7522	+	7.38441i	−0.418921	+	0.263226i	0.306035	+	0.952020i	$0.400997\pi$
$788$	−7.96175	+	0.897074i	−0.283626	+	0.0319569i
$789$	7.41472	−	32.4860i	0.263971	−	1.15653i
$790$	2.57409	+	16.0009i	0.0915819	+	0.569285i
$791$	−29.8493	−	4.44913i	−1.06132	−	0.158193i
$792$	7.75868	+	12.3479i	0.275693	+	0.438762i
$793$	−9.54519	−	27.2786i	−0.338959	−	0.968691i
$794$	−5.88442	−	25.7813i	−0.208830	−	0.914944i
$795$	25.0675	−	59.0443i	0.889054	−	2.09408i
$796$	5.98218	−	4.77063i	0.212033	−	0.169090i
$797$	42.1391	+	14.7451i	1.49264	+	0.522299i	0.948523	−	0.316708i	$-0.102578\pi$
$797$	42.1391	+	14.7451i	1.49264	+	0.522299i	0.544121	+	0.839007i	$0.316863\pi$
$798$	−10.8126	+	40.6187i	−0.382760	+	1.43789i
$799$	9.29853	−	19.3086i	0.328958	−	0.683089i
$800$	−3.18572	+	3.85372i	−0.112632	+	0.136250i
$801$	1.90089	−	1.51591i	0.0671647	−	0.0535620i
$802$	13.7925	−	13.7925i	0.487031	−	0.487031i
$803$	−16.2219	+	16.2219i	−0.572460	+	0.572460i
$804$	15.9173	+	19.9597i	0.561361	+	0.703925i
$805$	−33.1868	+	4.12766i	−1.16968	+	0.145481i
$806$	12.0931	−	15.1643i	0.425962	−	0.534140i
$807$	−6.65743	−	59.0863i	−0.234353	−	2.07994i
$808$	11.7973	−	4.12804i	0.415026	−	0.145224i
$809$	12.5832	−	26.1293i	0.442402	−	0.918657i	−0.553888	−	0.832591i	$-0.686856\pi$
$809$	12.5832	−	26.1293i	0.442402	−	0.918657i	0.996290	−	0.0860653i	$-0.0274294\pi$
$810$	−8.47582	−	7.70959i	−0.297810	−	0.270887i
$811$	40.4472	+	32.2556i	1.42029	+	1.13265i	0.970948	+	0.239289i	$0.0769144\pi$
$811$	40.4472	+	32.2556i	1.42029	+	1.13265i	0.449346	+	0.893358i	$0.351657\pi$
$812$	−3.99320	+	7.58551i	−0.140134	+	0.266199i
$813$	−5.19652	+	46.1204i	−0.182250	+	1.61751i
$814$		−	19.5186i		−	0.684126i
$815$	−5.16303	−	0.335523i	−0.180853	−	0.0117529i
$816$	−4.22413	−	5.29689i	−0.147874	−	0.185428i
$817$	−10.7608	+	17.1258i	−0.376474	+	0.599155i
$818$	−3.04125	+	1.06418i	−0.106335	+	0.0372081i
$819$	23.5628	−	7.31038i	0.823349	−	0.255445i
$820$	7.81300	−	18.4028i	0.272842	−	0.642654i
$821$	−26.5823	−	33.3331i	−0.927727	−	1.16333i	−0.986285	−	0.165049i	$-0.947222\pi$
$821$	−26.5823	−	33.3331i	−0.927727	−	1.16333i	0.0585580	−	0.998284i	$-0.481350\pi$
$822$	−5.74097	−	2.00885i	−0.200239	−	0.0700667i
$823$	4.34020	−	6.90739i	0.151290	−	0.240776i	−0.762477	−	0.647015i	$-0.776017\pi$
$823$	4.34020	−	6.90739i	0.151290	−	0.240776i	0.913767	+	0.406239i	$0.133160\pi$
$824$	−5.74038	−	2.76442i	−0.199976	−	0.0963032i
$825$	−44.0104	+	20.2486i	−1.53225	+	0.704965i
$826$	−18.3678	+	27.0356i	−0.639098	+	0.940688i
$827$	11.3758	+	7.14786i	0.395574	+	0.248556i	0.715100	−	0.699022i	$-0.246381\pi$
$827$	11.3758	+	7.14786i	0.395574	+	0.248556i	−0.319526	+	0.947577i	$0.603524\pi$
$828$	19.0262	−	11.9550i	0.661206	−	0.415463i
$829$	−14.3710	+	18.0207i	−0.499126	+	0.625884i	−0.966032	−	0.258423i	$-0.916797\pi$
$829$	−14.3710	+	18.0207i	−0.499126	+	0.625884i	0.466906	+	0.884307i	$0.345369\pi$
$830$	6.75407	−	3.65567i	0.234437	−	0.126890i
$831$	33.3901	+	69.3353i	1.15829	+	2.40522i
$832$	−1.65872	−	1.65872i	−0.0575057	−	0.0575057i
$833$	−15.8484	+	8.44260i	−0.549116	+	0.292519i
$834$		−	36.0623i		−	1.24874i
$835$	−30.8449	+	12.4597i	−1.06743	+	0.431185i
$836$	21.5152	+	4.91071i	0.744120	+	0.169840i
$837$	2.38404	+	21.1589i	0.0824045	+	0.731360i
$838$	−9.29617	−	14.7948i	−0.321131	−	0.511077i
$839$	12.4655	+	54.6148i	0.430356	+	1.88551i	0.463566	+	0.886063i	$0.346570\pi$
$839$	12.4655	+	54.6148i	0.430356	+	1.88551i	−0.0332101	+	0.999448i	$0.510573\pi$
$840$	−14.1546	−	6.61633i	−0.488379	−	0.228285i
$841$	−4.11709	+	18.0382i	−0.141969	+	0.622006i
$842$	−7.91338	+	2.76901i	−0.272713	+	0.0954264i
$843$	0.398087	+	0.250135i	0.0137108	+	0.00861510i
$844$	−8.95187	−	18.5888i	−0.308136	−	0.639851i
$845$	2.95340	−	16.5023i	0.101600	−	0.567696i
$846$	14.4087	+	29.9201i	0.495383	+	1.02867i
$847$	−2.61130	−	5.95856i	−0.0897254	−	0.204738i
$848$	−3.58745	−	10.2523i	−0.123194	−	0.352067i
$849$	−80.1737	+	18.2991i	−2.75155	+	0.628024i
$850$	10.9787	−	6.63196i	0.376567	−	0.227474i
$851$	−30.0752			−1.03096
$852$	−7.15337	−	7.15337i	−0.245070	−	0.245070i
$853$	−0.982260	−	0.110674i	−0.0336319	−	0.00378941i	0.0951325	−	0.995465i	$-0.469673\pi$
$853$	−0.982260	−	0.110674i	−0.0336319	−	0.00378941i	−0.128764	+	0.991675i	$0.541101\pi$
$854$	−32.2398	−	4.80545i	−1.10322	−	0.164439i
$855$	53.4088	−	2.52841i	1.82654	−	0.0864697i
$856$	4.20188	−	5.26899i	0.143617	−	0.180091i
$857$	−2.80691	−	8.02168i	−0.0958821	−	0.274015i	0.885946	−	0.463789i	$-0.153510\pi$
$857$	−2.80691	−	8.02168i	−0.0958821	−	0.274015i	−0.981828	+	0.189774i	$0.939225\pi$
$858$	−7.50668	−	21.4529i	−0.256274	−	0.732389i
$859$	23.8808	−	29.9456i	0.814802	−	1.02173i	−0.184442	−	0.982843i	$-0.559048\pi$
$859$	23.8808	−	29.9456i	0.814802	−	1.02173i	0.999244	−	0.0388856i	$-0.0123808\pi$
$860$	−5.56174	−	5.05895i	−0.189654	−	0.172509i
$861$	61.7927	+	9.21040i	2.10589	+	0.313889i
$862$	−38.3499	−	4.32099i	−1.30620	−	0.147174i
$863$	39.4850	+	39.4850i	1.34408	+	1.34408i	0.891950	+	0.452134i	$0.149337\pi$
$863$	39.4850	+	39.4850i	1.34408	+	1.34408i	0.452134	+	0.891950i	$0.350663\pi$
$864$	2.57521			0.0876103
$865$	14.2835	−	9.94703i	0.485655	−	0.338209i
$866$	−2.56669	+	0.585829i	−0.0872195	+	0.0199073i
$867$	−9.08861	−	25.9738i	−0.308665	−	0.882115i
$868$	−8.78088	−	20.0365i	−0.298042	−	0.680083i
$869$	11.5368	+	23.9564i	0.391359	+	0.812665i
$870$	18.8350	+	3.37088i	0.638566	+	0.114284i
$871$	−9.83848	−	20.4298i	−0.333364	−	0.692238i
$872$	3.77324	+	2.37088i	0.127778	+	0.0802882i
$873$	19.5179	−	6.82959i	0.660579	−	0.231147i
$874$	7.56666	−	33.1517i	0.255946	−	1.12137i
$875$	15.8889	−	24.9508i	0.537143	−	0.843491i
$876$	3.67501	+	16.1013i	0.124167	+	0.544012i
$877$	15.3115	+	24.3682i	0.517034	+	0.822854i	0.998564	−	0.0535752i	$-0.0170617\pi$
$877$	15.3115	+	24.3682i	0.517034	+	0.822854i	−0.481530	+	0.876430i	$0.659919\pi$
$878$	3.28616	+	29.1655i	0.110902	+	0.984287i
$879$	53.2531	+	12.1547i	1.79618	+	0.409967i
$880$	−3.20581	+	7.55098i	−0.108068	+	0.254543i
$881$		−	7.28489i		−	0.245434i	−0.992442	−	0.122717i	$-0.960839\pi$
$881$		−	7.28489i		−	0.245434i	0.992442	−	0.122717i	$-0.0391608\pi$
$882$	5.08361	−	27.3572i	0.171174	−	0.921165i
$883$	18.8634	+	18.8634i	0.634804	+	0.634804i	0.949269	−	0.314465i	$-0.101825\pi$
$883$	18.8634	+	18.8634i	0.634804	+	0.634804i	−0.314465	+	0.949269i	$0.601825\pi$
$884$	2.61093	+	5.42164i	0.0878149	+	0.182350i
$885$	69.9237	+	20.8124i	2.35046	+	0.699600i
$886$	22.0074	−	27.5965i	0.739355	−	0.927121i
$887$	1.42725	−	0.896802i	0.0479224	−	0.0301117i	−0.507858	−	0.861441i	$-0.669562\pi$
$887$	1.42725	−	0.896802i	0.0479224	−	0.0301117i	0.555780	+	0.831329i	$0.312420\pi$
$888$	−11.8976	−	7.47577i	−0.399258	−	0.250870i
$889$	21.9510	−	32.3096i	0.736211	−	1.08363i
$890$	1.31084	+	0.390165i	0.0439396	+	0.0130784i
$891$	−16.9365	−	8.15620i	−0.567395	−	0.273243i
$892$	−1.93217	+	3.07503i	−0.0646938	+	0.102960i
$893$	47.4345	+	16.5981i	1.58734	+	0.555433i
$894$	−18.1020	−	22.6992i	−0.605421	−	0.759174i
$895$	−16.4319	−	6.97626i	−0.549259	−	0.233191i
$896$	−2.52693	+	0.783984i	−0.0844188	+	0.0261911i
$897$	−33.0556	+	11.5667i	−1.10370	+	0.386200i
$898$	−11.1016	+	17.6681i	−0.370465	+	0.589592i
$899$	16.7033	+	20.9453i	0.557087	+	0.698565i
$900$	−2.57237	+	19.7082i	−0.0857455	+	0.656940i
$901$			27.8637i			0.928273i
$902$	3.67257	−	32.5950i	0.122283	−	1.08529i
$903$	10.9442	−	20.7896i	0.364199	−	0.691835i
$904$	8.91805	+	7.11190i	0.296610	+	0.236538i
$905$	−50.2287	+	2.37786i	−1.66966	+	0.0790426i
$906$	21.6060	−	44.8653i	0.717810	−	1.49055i
$907$	−29.5519	+	10.3407i	−0.981255	+	0.343356i	−0.772782	−	0.634672i	$-0.781135\pi$
$907$	−29.5519	+	10.3407i	−0.981255	+	0.343356i	−0.208474	+	0.978028i	$0.566850\pi$
$908$	0.925236	+	8.21170i	0.0307050	+	0.272515i
$909$	30.9769	−	38.8438i	1.02744	−	1.28837i
$910$	10.9493	+	8.52689i	0.362965	+	0.282664i
$911$	−14.8162	−	18.5790i	−0.490883	−	0.615548i	0.473262	−	0.880921i	$-0.343076\pi$
$911$	−14.8162	−	18.5790i	−0.490883	−	0.615548i	−0.964146	+	0.265373i	$0.914505\pi$
$912$	11.2338	−	11.2338i	0.371990	−	0.371990i
$913$	8.90968	−	8.90968i	0.294867	−	0.294867i
$914$	2.85962	−	2.28047i	0.0945880	−	0.0754314i
$915$	11.5560	+	71.8334i	0.382028	+	2.37474i
$916$	−12.1944	+	25.3219i	−0.402914	+	0.836659i
$917$	−5.27106	+	19.8014i	−0.174066	+	0.653900i
$918$	−6.23539	−	2.18186i	−0.205799	−	0.0720120i
$919$	−3.57513	+	2.85107i	−0.117933	+	0.0940480i	−0.680680	−	0.732581i	$-0.738316\pi$
$919$	−3.57513	+	2.85107i	−0.117933	+	0.0940480i	0.562748	+	0.826629i	$0.309744\pi$
$920$	11.6349	+	4.93966i	0.383592	+	0.162856i
$921$	3.02594	+	13.2575i	0.0997082	+	0.436850i
$922$	8.11193	+	23.1826i	0.267152	+	0.763477i
$923$	4.78054	+	7.60818i	0.157353	+	0.250426i
$924$	−25.3546	−	3.77918i	−0.834105	−	0.124326i
$925$	16.9493	−	20.5033i	0.557289	−	0.674145i
$926$	5.80654	−	25.4401i	0.190815	−	0.836014i
$927$	−25.1673	+	2.83568i	−0.826603	+	0.0931358i
$928$	2.74343	−	1.72381i	0.0900575	−	0.0565869i
$929$	40.0320	−	19.2784i	1.31341	−	0.632503i	0.359651	−	0.933087i	$-0.382896\pi$
$929$	40.0320	−	19.2784i	1.31341	−	0.632503i	0.953755	+	0.300584i	$0.0971815\pi$
$930$	−36.6939	+	32.2158i	−1.20324	+	1.05640i
$931$	−23.8341	−	34.7136i	−0.781131	−	1.13769i
$932$	2.86070	−	2.86070i	0.0937054	−	0.0937054i
$933$	35.0284	+	12.2570i	1.14678	+	0.401275i
$934$	1.86851	−	8.18647i	0.0611395	−	0.267870i
$935$	14.1599	−	15.5672i	0.463078	−	0.509101i
$936$	−9.09087	−	2.07493i	−0.297144	−	0.0678213i
$937$	5.80488	−	9.23841i	0.189637	−	0.301806i	−0.738350	−	0.674418i	$-0.764395\pi$
$937$	5.80488	−	9.23841i	0.189637	−	0.301806i	0.927987	+	0.372612i	$0.121538\pi$
$938$	−25.5587	−	0.914470i	−0.834520	−	0.0298585i
$939$	29.7544	+	6.79126i	0.971000	+	0.221624i
$940$	−9.17963	+	16.2697i	−0.299407	+	0.530658i
$941$	23.5505	−	5.37525i	0.767725	−	0.175228i	0.179316	−	0.983792i	$-0.442612\pi$
$941$	23.5505	−	5.37525i	0.767725	−	0.175228i	0.588409	+	0.808563i	$0.299754\pi$
$942$	−8.10801	+	23.1714i	−0.264173	+	0.754964i
$943$	−50.2239	−	5.65888i	−1.63552	−	0.184278i
$944$	11.1303	−	5.36007i	0.362261	−	0.174456i
$945$	−15.1186	+	1.88040i	−0.491809	+	0.0611695i
$946$	−11.1136	−	5.35202i	−0.361333	−	0.174009i
$947$	39.3517	+	24.7263i	1.27876	+	0.803498i	0.988172	−	0.153351i	$-0.0490065\pi$
$947$	39.3517	+	24.7263i	1.27876	+	0.803498i	0.290587	+	0.956848i	$0.406149\pi$
$948$	19.0214	+	2.14319i	0.617785	+	0.0696077i
$949$		−	14.6690i		−	0.476177i
$950$	18.3364	+	23.8416i	0.594911	+	0.773522i
$951$	−20.4488	+	16.3074i	−0.663098	+	0.528803i
$952$	6.78273	+	0.242681i	0.219830	+	0.00786534i
$953$	10.4576	−	1.17828i	0.338753	−	0.0381683i	0.0590506	−	0.998255i	$-0.481193\pi$
$953$	10.4576	−	1.17828i	0.338753	−	0.0381683i	0.279703	+	0.960087i	$0.409764\pi$
$954$	−33.7569	−	26.9203i	−1.09292	−	0.871576i
$955$	26.0783	−	7.26527i	0.843874	−	0.235099i
$956$	−12.5953	−	6.06557i	−0.407361	−	0.196175i
$957$	31.1955	−	3.51489i	1.00841	−	0.113620i
$958$	0.188181	+	1.67015i	0.00607985	+	0.0539602i
$959$	5.27183	−	3.05520i	0.170236	−	0.0986576i
$960$	3.37488	+	4.84619i	0.108924	+	0.156410i
$961$	−37.3664			−1.20537
$962$	8.82503	+	8.82503i	0.284531	+	0.284531i
$963$	2.99944	−	26.6208i	0.0966556	−	0.857842i
$964$	−5.56360	−	24.3757i	−0.179191	−	0.785089i
$965$	−5.92770	−	3.34451i	−0.190819	−	0.107664i
$966$	−5.82315	+	39.0676i	−0.187357	+	1.25698i
$967$	11.8407	−	33.8387i	0.380771	−	1.08818i	−0.580901	−	0.813974i	$-0.697300\pi$
$967$	11.8407	−	33.8387i	0.380771	−	1.08818i	0.961671	−	0.274205i	$-0.0884147\pi$
$968$	−0.275309	+	2.44344i	−0.00884878	+	0.0785351i
$969$	−36.7186	+	17.6828i	−1.17957	+	0.568052i
$970$	9.42702	+	6.81426i	0.302683	+	0.218793i
$971$	3.78917	−	7.86830i	0.121600	−	0.252506i	−0.831279	−	0.555856i	$-0.812391\pi$
$971$	3.78917	−	7.86830i	0.121600	−	0.252506i	0.952879	+	0.303350i	$0.0981051\pi$
$972$	−17.9999	+	11.3101i	−0.577348	+	0.362772i
$973$	27.4215	+	23.5202i	0.879094	+	0.754022i
$974$	−21.8728	+	4.99233i	−0.700850	+	0.159964i
$975$	10.7436	−	29.0537i	0.344069	−	0.930464i
$976$	9.63227	+	7.68148i	0.308321	+	0.245878i
$977$	2.94661	+	4.68950i	0.0942703	+	0.150030i	0.890530	−	0.454925i	$-0.150334\pi$
$977$	2.94661	+	4.68950i	0.0942703	+	0.150030i	−0.796260	+	0.604955i	$0.793191\pi$
$978$	−2.01832	+	5.76803i	−0.0645388	+	0.184441i
$979$	2.24390			0.0717154
$980$	14.2627	−	6.44780i	0.455607	−	0.205967i
$981$	17.7140			0.565565
$982$	1.79449	−	5.12836i	0.0572645	−	0.163653i
$983$	6.78317	+	10.7954i	0.216350	+	0.344318i	0.937212	−	0.348760i	$-0.113397\pi$
$983$	6.78317	+	10.7954i	0.216350	+	0.344318i	−0.720863	+	0.693078i	$0.756254\pi$
$984$	−18.4618	−	14.7228i	−0.588539	−	0.469344i
$985$	−17.1712	−	5.11090i	−0.547120	−	0.162847i
$986$	−8.10323	+	1.84951i	−0.258059	+	0.0589004i
$987$	−56.4111	−	15.0164i	−1.79558	−	0.477979i
$988$	−11.9481	+	7.50748i	−0.380119	+	0.238845i
$989$	−8.24665	+	17.1243i	−0.262228	+	0.544522i
$990$	5.17924	+	32.1949i	0.164607	+	1.02322i
$991$	37.8517	−	18.2284i	1.20240	−	0.579044i	0.278039	−	0.960570i	$-0.410316\pi$
$991$	37.8517	−	18.2284i	1.20240	−	0.579044i	0.924358	+	0.381526i	$0.124601\pi$
$992$	−0.925767	+	8.21641i	−0.0293931	+	0.260871i
$993$	14.6345	−	41.8229i	0.464411	−	1.32721i
$994$	10.1049	−	0.773880i	0.320507	−	0.0245460i
$995$	16.4816	−	4.59168i	0.522502	−	0.145566i
$996$	−2.01845	−	8.84340i	−0.0639570	−	0.280214i
$997$	−4.14836	+	36.8177i	−0.131380	+	1.16603i	0.739020	+	0.673683i	$0.235289\pi$
$997$	−4.14836	+	36.8177i	−0.131380	+	1.16603i	−0.870400	+	0.492345i	$0.836140\pi$
$998$	−15.4099	−	15.4099i	−0.487793	−	0.487793i
$999$	−13.7011			−0.433484

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	490.2.s.a.223.15	yes	336
5.2	odd	4	inner	490.2.s.a.27.15	✓	336
49.20	odd	14	inner	490.2.s.a.363.15	yes	336
245.167	even	28	inner	490.2.s.a.167.15	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
490.2.s.a.27.15	✓	336	5.2	odd	4	inner
490.2.s.a.167.15	yes	336	245.167	even	28	inner
490.2.s.a.223.15	yes	336	1.1	even	1	trivial
490.2.s.a.363.15	yes	336	49.20	odd	14	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	490.s (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.330279 - 0.943883i) q^{2} +(-1.40512 - 2.23623i) q^{3} +(-0.781831 - 0.623490i) q^{4} +(-1.06438 - 1.96650i) q^{5} +(-2.57482 + 0.587686i) q^{6} +(1.23245 - 2.34117i) q^{7} +(-0.846724 + 0.532032i) q^{8} +(-1.72472 + 3.58142i) q^{9} +O(q^{10})\)	\(q+(0.330279 - 0.943883i) q^{2} +(-1.40512 - 2.23623i) q^{3} +(-0.781831 - 0.623490i) q^{4} +(-1.06438 - 1.96650i) q^{5} +(-2.57482 + 0.587686i) q^{6} +(1.23245 - 2.34117i) q^{7} +(-0.846724 + 0.532032i) q^{8} +(-1.72472 + 3.58142i) q^{9} +(-2.20768 + 0.355154i) q^{10} +(-3.30533 + 1.59176i) q^{11} +(-0.295702 + 2.62443i) q^{12} +(0.774763 - 2.21415i) q^{13} +(-1.80274 - 1.93653i) q^{14} +(-2.90197 + 5.14334i) q^{15} +(0.222521 + 0.974928i) q^{16} +(0.287219 - 2.54914i) q^{17} +(2.81080 + 2.81080i) q^{18} +6.01546 q^{19} +(-0.393928 + 2.20110i) q^{20} +(-6.96712 + 0.533577i) q^{21} +(0.410757 + 3.64557i) q^{22} +(5.61727 - 0.632915i) q^{23} +(2.37949 + 1.14590i) q^{24} +(-2.73421 + 4.18618i) q^{25} +(-1.83401 - 1.46257i) q^{26} +(2.55901 - 0.288332i) q^{27} +(-2.42326 + 1.06198i) q^{28} +(2.53318 - 2.02014i) q^{29} +(3.89626 + 4.43785i) q^{30} +8.26840i q^{31} +(0.993712 + 0.111964i) q^{32} +(8.20392 + 5.15486i) q^{33} +(-2.31123 - 1.11303i) q^{34} +(-5.91569 + 0.0682778i) q^{35} +(3.58142 - 1.72472i) q^{36} +(-5.28694 - 0.595695i) q^{37} +(1.98678 - 5.67789i) q^{38} +(-6.03997 + 1.37858i) q^{39} +(1.94747 + 1.09880i) q^{40} +(-8.71682 - 1.98956i) q^{41} +(-1.79746 + 6.75238i) q^{42} +(-1.78886 + 2.84696i) q^{43} +(3.57666 + 0.816349i) q^{44} +(8.87859 - 0.420318i) q^{45} +(1.25787 - 5.51109i) q^{46} +(7.88544 + 2.75923i) q^{47} +(1.86749 - 1.86749i) q^{48} +(-3.96214 - 5.77074i) q^{49} +(3.04821 + 3.96338i) q^{50} +(-6.10404 + 2.93955i) q^{51} +(-1.98623 + 1.24803i) q^{52} +(-10.7936 + 1.21614i) q^{53} +(0.573037 - 2.51064i) q^{54} +(6.64830 + 4.80568i) q^{55} +(0.202033 + 2.63803i) q^{56} +(-8.45242 - 13.4519i) q^{57} +(-1.07012 - 3.05823i) q^{58} +(-2.74896 - 12.0440i) q^{59} +(5.47567 - 2.21188i) q^{60} +(9.63227 - 7.68148i) q^{61} +(7.80440 + 2.73088i) q^{62} +(6.25908 + 8.45177i) q^{63} +(0.433884 - 0.900969i) q^{64} +(-5.17875 + 0.833113i) q^{65} +(7.57517 - 6.04100i) q^{66} +(6.83521 - 6.83521i) q^{67} +(-1.81392 + 1.81392i) q^{68} +(-9.30826 - 11.6722i) q^{69} +(-1.88938 + 5.60627i) q^{70} +(-2.38825 + 2.99477i) q^{71} +(-0.445067 - 3.95008i) q^{72} +(5.90244 - 2.06535i) q^{73} +(-2.30843 + 4.79351i) q^{74} +(13.2031 + 0.232256i) q^{75} +(-4.70307 - 3.75058i) q^{76} +(-0.347062 + 9.70010i) q^{77} +(-0.693653 + 6.15634i) q^{78} -7.24781i q^{79} +(1.68035 - 1.47528i) q^{80} +(3.19477 + 4.00611i) q^{81} +(-4.75689 + 7.57055i) q^{82} +(-3.24183 + 1.13437i) q^{83} +(5.77980 + 3.92676i) q^{84} +(-5.31859 + 2.14843i) q^{85} +(2.09637 + 2.62877i) q^{86} +(-8.07690 - 2.82623i) q^{87} +(1.95183 - 3.10632i) q^{88} +(-0.551072 - 0.265382i) q^{89} +(2.53568 - 8.51918i) q^{90} +(-4.22883 - 4.54267i) q^{91} +(-4.78638 - 3.00748i) q^{92} +(18.4900 - 11.6181i) q^{93} +(5.20879 - 6.53162i) q^{94} +(-6.40270 - 11.8294i) q^{95} +(-1.14590 - 2.37949i) q^{96} +(-3.67835 - 3.67835i) q^{97} +(-6.75552 + 1.83385i) q^{98} -14.5831i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q + 28 q^{6} + 8 q^{7}+O(q^{10}) \) 336 * q + 28 * q^6 + 8 * q^7	\( 336 q + 28 q^{6} + 8 q^{7} + 8 q^{11} + 44 q^{15} + 56 q^{16} + 28 q^{17} - 16 q^{21} - 20 q^{22} + 8 q^{23} - 8 q^{25} - 28 q^{26} - 8 q^{28} - 24 q^{30} + 8 q^{35} + 76 q^{36} - 24 q^{37} - 56 q^{41} - 112 q^{42} - 24 q^{43} + 112 q^{45} - 68 q^{46} - 84 q^{47} - 32 q^{50} - 80 q^{51} - 100 q^{53} + 84 q^{55} - 20 q^{56} + 92 q^{57} - 80 q^{58} - 112 q^{61} - 32 q^{67} + 52 q^{70} + 16 q^{71} - 84 q^{75} + 16 q^{77} - 80 q^{78} + 12 q^{81} + 140 q^{83} + 40 q^{85} - 8 q^{86} - 28 q^{87} - 8 q^{88} - 84 q^{90} + 124 q^{91} + 8 q^{92} + 20 q^{93} - 56 q^{95} - 32 q^{98}+O(q^{100}) \) 336 * q + 28 * q^6 + 8 * q^7 + 8 * q^11 + 44 * q^15 + 56 * q^16 + 28 * q^17 - 16 * q^21 - 20 * q^22 + 8 * q^23 - 8 * q^25 - 28 * q^26 - 8 * q^28 - 24 * q^30 + 8 * q^35 + 76 * q^36 - 24 * q^37 - 56 * q^41 - 112 * q^42 - 24 * q^43 + 112 * q^45 - 68 * q^46 - 84 * q^47 - 32 * q^50 - 80 * q^51 - 100 * q^53 + 84 * q^55 - 20 * q^56 + 92 * q^57 - 80 * q^58 - 112 * q^61 - 32 * q^67 + 52 * q^70 + 16 * q^71 - 84 * q^75 + 16 * q^77 - 80 * q^78 + 12 * q^81 + 140 * q^83 + 40 * q^85 - 8 * q^86 - 28 * q^87 - 8 * q^88 - 84 * q^90 + 124 * q^91 + 8 * q^92 + 20 * q^93 - 56 * q^95 - 32 * q^98

Introduction

L-functions

Modular forms

Varieties

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