LMFDB - Embedded newform 475.2.n.a.39.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [475,2,Mod(39,475)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(475, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("475.39");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 475 = 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	475.n (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.79289409601$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$20$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			39.10
Character	$\chi$	$=$	475.39
Dual form			475.2.n.a.134.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0162182 + 0.0223225i) q^{2} +(2.53599 + 0.823993i) q^{3} +(0.617799 - 1.90139i) q^{4} +(2.18453 - 0.477335i) q^{5} +(0.0227357 + 0.0699732i) q^{6} +0.768841i q^{7} +(0.104947 - 0.0340992i) q^{8} +(3.32522 + 2.41592i) q^{9} +O(q^{10})$	\(q+(0.0162182 + 0.0223225i) q^{2} +(2.53599 + 0.823993i) q^{3} +(0.617799 - 1.90139i) q^{4} +(2.18453 - 0.477335i) q^{5} +(0.0227357 + 0.0699732i) q^{6} +0.768841i q^{7} +(0.104947 - 0.0340992i) q^{8} +(3.32522 + 2.41592i) q^{9} +(0.0460844 + 0.0410225i) q^{10} +(-1.48178 + 1.07658i) q^{11} +(3.13346 - 4.31284i) q^{12} +(-2.15040 + 2.95977i) q^{13} +(-0.0171624 + 0.0124692i) q^{14} +(5.93325 + 0.589518i) q^{15} +(-3.23237 - 2.34846i) q^{16} +(-3.88910 + 1.26365i) q^{17} +0.113409i q^{18} +(-0.309017 - 0.951057i) q^{19} +(0.441998 - 4.44853i) q^{20} +(-0.633519 + 1.94977i) q^{21} +(-0.0480638 - 0.0156169i) q^{22} +(-0.945090 - 1.30081i) q^{23} +0.294241 q^{24} +(4.54430 - 2.08550i) q^{25} -0.100945 q^{26} +(1.74005 + 2.39497i) q^{27} +(1.46187 + 0.474989i) q^{28} +(-0.606566 + 1.86682i) q^{29} +(0.0830673 + 0.142006i) q^{30} +(-3.17827 - 9.78170i) q^{31} -0.330937i q^{32} +(-4.64487 + 1.50921i) q^{33} +(-0.0912821 - 0.0663203i) q^{34} +(0.366994 + 1.67955i) q^{35} +(6.64791 - 4.82999i) q^{36} +(-3.73787 + 5.14474i) q^{37} +(0.0162182 - 0.0223225i) q^{38} +(-7.89221 + 5.73403i) q^{39} +(0.212982 - 0.124585i) q^{40} +(-6.98798 - 5.07706i) q^{41} +(-0.0537983 + 0.0174801i) q^{42} +6.36988i q^{43} +(1.13155 + 3.48255i) q^{44} +(8.41723 + 3.69039i) q^{45} +(0.0137095 - 0.0421935i) q^{46} +(6.98680 + 2.27015i) q^{47} +(-6.26215 - 8.61911i) q^{48} +6.40888 q^{49} +(0.120254 + 0.0676170i) q^{50} -10.9040 q^{51} +(4.29916 + 5.91729i) q^{52} +(3.74252 + 1.21602i) q^{53} +(-0.0252412 + 0.0776844i) q^{54} +(-2.72310 + 3.05912i) q^{55} +(0.0262169 + 0.0806872i) q^{56} -2.66650i q^{57} +(-0.0515094 + 0.0167364i) q^{58} +(8.36798 + 6.07970i) q^{59} +(4.78646 - 10.9172i) q^{60} +(6.62755 - 4.81520i) q^{61} +(0.166806 - 0.229589i) q^{62} +(-1.85745 + 2.55657i) q^{63} +(-6.45736 + 4.69155i) q^{64} +(-3.28480 + 7.49215i) q^{65} +(-0.109021 - 0.0792084i) q^{66} +(-0.805030 + 0.261570i) q^{67} +8.17538i q^{68} +(-1.32488 - 4.07757i) q^{69} +(-0.0315398 + 0.0354316i) q^{70} +(-2.30299 + 7.08788i) q^{71} +(0.431352 + 0.140155i) q^{72} +(-6.85262 - 9.43182i) q^{73} -0.175465 q^{74} +(13.2427 - 1.54433i) q^{75} -1.99924 q^{76} +(-0.827717 - 1.13925i) q^{77} +(-0.255995 - 0.0831780i) q^{78} +(1.81147 - 5.57514i) q^{79} +(-8.18220 - 3.58734i) q^{80} +(-1.37106 - 4.21970i) q^{81} -0.238330i q^{82} +(11.0850 - 3.60173i) q^{83} +(3.31589 + 2.40913i) q^{84} +(-7.89266 + 4.61687i) q^{85} +(-0.142191 + 0.103308i) q^{86} +(-3.07649 + 4.23442i) q^{87} +(-0.118798 + 0.163511i) q^{88} +(-2.07106 + 1.50472i) q^{89} +(0.0541341 + 0.247745i) q^{90} +(-2.27559 - 1.65331i) q^{91} +(-3.05721 + 0.993348i) q^{92} -27.4251i q^{93} +(0.0626381 + 0.192780i) q^{94} +(-1.12903 - 1.93010i) q^{95} +(0.272690 - 0.839253i) q^{96} +(-0.920953 - 0.299236i) q^{97} +(0.103941 + 0.143062i) q^{98} -7.52818 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 16 q^{4} - 3 q^{5} + 6 q^{6} + 8 q^{9}+O(q^{10}) $ 80 * q + 16 * q^4 - 3 * q^5 + 6 * q^6 + 8 * q^9	$ 80 q + 16 q^{4} - 3 q^{5} + 6 q^{6} + 8 q^{9} - 36 q^{10} + 20 q^{11} + 45 q^{12} - 10 q^{14} - 20 q^{16} - 15 q^{17} + 20 q^{19} + 12 q^{20} + 16 q^{21} + 15 q^{23} + 72 q^{24} + 41 q^{25} - 84 q^{26} + 15 q^{27} + 30 q^{28} - 24 q^{29} - 40 q^{30} + 8 q^{31} - 75 q^{33} - 24 q^{34} - 33 q^{35} - 32 q^{36} - 15 q^{37} - 30 q^{39} - 28 q^{40} + 13 q^{41} - 130 q^{42} - 24 q^{44} + 6 q^{45} + 30 q^{46} + 145 q^{48} - 28 q^{49} + 77 q^{50} - 36 q^{51} - 5 q^{52} - 10 q^{53} + 15 q^{54} - 8 q^{55} + 48 q^{56} - 60 q^{58} - 19 q^{59} - 110 q^{60} + 8 q^{61} + 110 q^{62} + 55 q^{63} + 16 q^{64} - 43 q^{65} - 17 q^{66} - 65 q^{67} - 42 q^{69} + 4 q^{70} + 18 q^{71} + 100 q^{73} + 22 q^{74} + 115 q^{75} + 64 q^{76} - 145 q^{78} - 16 q^{79} - 97 q^{80} + q^{81} - 70 q^{83} - 46 q^{84} - 16 q^{85} + 64 q^{86} + 10 q^{87} + 30 q^{88} + 4 q^{89} - 8 q^{90} + 16 q^{91} - 135 q^{92} + 38 q^{94} - 2 q^{95} + 50 q^{96} + 150 q^{97} + 130 q^{98} + 178 q^{99}+O(q^{100}) $ 80 * q + 16 * q^4 - 3 * q^5 + 6 * q^6 + 8 * q^9 - 36 * q^10 + 20 * q^11 + 45 * q^12 - 10 * q^14 - 20 * q^16 - 15 * q^17 + 20 * q^19 + 12 * q^20 + 16 * q^21 + 15 * q^23 + 72 * q^24 + 41 * q^25 - 84 * q^26 + 15 * q^27 + 30 * q^28 - 24 * q^29 - 40 * q^30 + 8 * q^31 - 75 * q^33 - 24 * q^34 - 33 * q^35 - 32 * q^36 - 15 * q^37 - 30 * q^39 - 28 * q^40 + 13 * q^41 - 130 * q^42 - 24 * q^44 + 6 * q^45 + 30 * q^46 + 145 * q^48 - 28 * q^49 + 77 * q^50 - 36 * q^51 - 5 * q^52 - 10 * q^53 + 15 * q^54 - 8 * q^55 + 48 * q^56 - 60 * q^58 - 19 * q^59 - 110 * q^60 + 8 * q^61 + 110 * q^62 + 55 * q^63 + 16 * q^64 - 43 * q^65 - 17 * q^66 - 65 * q^67 - 42 * q^69 + 4 * q^70 + 18 * q^71 + 100 * q^73 + 22 * q^74 + 115 * q^75 + 64 * q^76 - 145 * q^78 - 16 * q^79 - 97 * q^80 + q^81 - 70 * q^83 - 46 * q^84 - 16 * q^85 + 64 * q^86 + 10 * q^87 + 30 * q^88 + 4 * q^89 - 8 * q^90 + 16 * q^91 - 135 * q^92 + 38 * q^94 - 2 * q^95 + 50 * q^96 + 150 * q^97 + 130 * q^98 + 178 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/475\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$1$

Coefficient data

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

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

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

$2$	0.0162182	+	0.0223225i	0.0114680	+	0.0157844i	0.814713	−	0.579865i	$-0.196895\pi$
$2$	0.0162182	+	0.0223225i	0.0114680	+	0.0157844i	−0.803244	+	0.595649i	$0.796895\pi$
$3$	2.53599	+	0.823993i	1.46415	+	0.475732i	0.929336	−	0.369235i	$-0.120380\pi$
$3$	2.53599	+	0.823993i	1.46415	+	0.475732i	0.534818	+	0.844968i	$0.320380\pi$
$4$	0.617799	−	1.90139i	0.308899	−	0.950694i
$5$	2.18453	−	0.477335i	0.976949	−	0.213471i
$5$	2.18453	−	0.477335i	0.976949	−	0.213471i
$6$	0.0227357	+	0.0699732i	0.00928180	+	0.0285665i
$7$			0.768841i			0.290595i	0.989388	+	0.145297i	$0.0464139\pi$
$7$			0.768841i			0.290595i	−0.989388	+	0.145297i	$0.953586\pi$
$8$	0.104947	−	0.0340992i	0.0371042	−	0.0120559i
$9$	3.32522	+	2.41592i	1.10841	+	0.805305i
$10$	0.0460844	+	0.0410225i	0.0145732	+	0.0129725i
$11$	−1.48178	+	1.07658i	−0.446774	+	0.324600i	−0.788321	−	0.615264i	$-0.789049\pi$
$11$	−1.48178	+	1.07658i	−0.446774	+	0.324600i	0.341547	+	0.939865i	$0.389049\pi$
$12$	3.13346	−	4.31284i	0.904552	−	1.24501i
$13$	−2.15040	+	2.95977i	−0.596413	+	0.820892i	−0.995374	−	0.0960755i	$-0.969371\pi$
$13$	−2.15040	+	2.95977i	−0.596413	+	0.820892i	0.398961	+	0.916968i	$0.369371\pi$
$14$	−0.0171624	+	0.0124692i	−0.00458685	+	0.00333254i
$15$	5.93325	+	0.589518i	1.53196	+	0.152213i
$16$	−3.23237	−	2.34846i	−0.808093	−	0.587114i
$17$	−3.88910	+	1.26365i	−0.943246	+	0.306479i	−0.739968	−	0.672642i	$-0.765159\pi$
$17$	−3.88910	+	1.26365i	−0.943246	+	0.306479i	−0.203278	+	0.979121i	$0.565159\pi$
$18$			0.113409i			0.0267308i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$20$	0.441998	−	4.44853i	0.0988338	−	0.994721i
$21$	−0.633519	+	1.94977i	−0.138245	+	0.425475i
$22$	−0.0480638	−	0.0156169i	−0.0102472	−	0.00332953i
$23$	−0.945090	−	1.30081i	−0.197065	−	0.271237i	0.699036	−	0.715086i	$-0.253613\pi$
$23$	−0.945090	−	1.30081i	−0.197065	−	0.271237i	−0.896101	+	0.443849i	$0.853613\pi$
$24$	0.294241			0.0600617
$25$	4.54430	−	2.08550i	0.908861	−	0.417100i
$26$	−0.100945			−0.0197970
$27$	1.74005	+	2.39497i	0.334872	+	0.460912i
$28$	1.46187	+	0.474989i	0.276267	+	0.0897645i
$29$	−0.606566	+	1.86682i	−0.112637	+	0.346660i	−0.991447	−	0.130512i	$-0.958338\pi$
$29$	−0.606566	+	1.86682i	−0.112637	+	0.346660i	0.878810	+	0.477171i	$0.158338\pi$
$30$	0.0830673	+	0.142006i	0.0151660	+	0.0259266i
$31$	−3.17827	−	9.78170i	−0.570834	−	1.75685i	−0.649947	−	0.759979i	$-0.725209\pi$
$31$	−3.17827	−	9.78170i	−0.570834	−	1.75685i	0.0791136	−	0.996866i	$-0.474791\pi$
$32$		−	0.330937i		−	0.0585020i
$33$	−4.64487	+	1.50921i	−0.808569	+	0.262720i
$34$	−0.0912821	−	0.0663203i	−0.0156547	−	0.0113738i
$35$	0.366994	+	1.67955i	0.0620334	+	0.283896i
$36$	6.64791	−	4.82999i	1.10799	−	0.804999i
$37$	−3.73787	+	5.14474i	−0.614502	+	0.845789i	−0.996938	−	0.0781925i	$-0.975085\pi$
$37$	−3.73787	+	5.14474i	−0.614502	+	0.845789i	0.382436	+	0.923982i	$0.375085\pi$
$38$	0.0162182	−	0.0223225i	0.00263094	−	0.00362118i
$39$	−7.89221	+	5.73403i	−1.26377	+	0.918180i
$40$	0.212982	−	0.124585i	0.0336754	−	0.0196987i
$41$	−6.98798	−	5.07706i	−1.09134	−	0.792904i	−0.111714	−	0.993740i	$-0.535634\pi$
$41$	−6.98798	−	5.07706i	−1.09134	−	0.792904i	−0.979625	+	0.200836i	$0.935634\pi$
$42$	−0.0537983	+	0.0174801i	−0.00830126	+	0.00269724i
$43$			6.36988i			0.971397i	0.874126	+	0.485698i	$0.161435\pi$
$43$			6.36988i			0.971397i	−0.874126	+	0.485698i	$0.838565\pi$
$44$	1.13155	+	3.48255i	0.170588	+	0.525015i
$45$	8.41723	+	3.69039i	1.25477	+	0.550130i
$46$	0.0137095	−	0.0421935i	0.00202136	−	0.00622109i
$47$	6.98680	+	2.27015i	1.01913	+	0.331135i	0.770484	−	0.637460i	$-0.220015\pi$
$47$	6.98680	+	2.27015i	1.01913	+	0.331135i	0.248645	+	0.968595i	$0.420015\pi$
$48$	−6.26215	−	8.61911i	−0.903863	−	1.24406i
$49$	6.40888			0.915555
$50$	0.120254	+	0.0676170i	0.0170065	+	0.00956249i
$51$	−10.9040			−1.52686
$52$	4.29916	+	5.91729i	0.596186	+	0.820580i
$53$	3.74252	+	1.21602i	0.514074	+	0.167033i	0.554554	−	0.832148i	$-0.312889\pi$
$53$	3.74252	+	1.21602i	0.514074	+	0.167033i	−0.0404802	+	0.999180i	$0.512889\pi$
$54$	−0.0252412	+	0.0776844i	−0.00343489	+	0.0105715i
$55$	−2.72310	+	3.05912i	−0.367183	+	0.412491i
$56$	0.0262169	+	0.0806872i	0.00350338	+	0.0107823i
$57$		−	2.66650i		−	0.353186i
$58$	−0.0515094	+	0.0167364i	−0.00676352	+	0.00219760i
$59$	8.36798	+	6.07970i	1.08942	+	0.791509i	0.979301	−	0.202409i	$-0.0648772\pi$
$59$	8.36798	+	6.07970i	1.08942	+	0.791509i	0.110118	+	0.993919i	$0.464877\pi$
$60$	4.78646	−	10.9172i	0.617929	−	1.40941i
$61$	6.62755	−	4.81520i	0.848571	−	0.616523i	−0.0761804	−	0.997094i	$-0.524272\pi$
$61$	6.62755	−	4.81520i	0.848571	−	0.616523i	0.924752	+	0.380571i	$0.124272\pi$
$62$	0.166806	−	0.229589i	0.0211844	−	0.0291578i
$63$	−1.85745	+	2.55657i	−0.234017	+	0.322097i
$64$	−6.45736	+	4.69155i	−0.807170	+	0.586443i
$65$	−3.28480	+	7.49215i	−0.407429	+	0.929287i
$66$	−0.109021	−	0.0792084i	−0.0134196	−	0.00974988i
$67$	−0.805030	+	0.261570i	−0.0983501	+	0.0319559i	−0.357779	−	0.933806i	$-0.616466\pi$
$67$	−0.805030	+	0.261570i	−0.0983501	+	0.0319559i	0.259429	+	0.965762i	$0.416466\pi$
$68$			8.17538i			0.991410i
$69$	−1.32488	−	4.07757i	−0.159497	−	0.490882i
$70$	−0.0315398	+	0.0354316i	−0.00376972	+	0.00423489i
$71$	−2.30299	+	7.08788i	−0.273315	+	0.841177i	0.716345	+	0.697746i	$0.245813\pi$
$71$	−2.30299	+	7.08788i	−0.273315	+	0.841177i	−0.989660	+	0.143431i	$0.954187\pi$
$72$	0.431352	+	0.140155i	0.0508353	+	0.0165174i
$73$	−6.85262	−	9.43182i	−0.802038	−	1.10391i	−0.992503	−	0.122217i	$-0.961000\pi$
$73$	−6.85262	−	9.43182i	−0.802038	−	1.10391i	0.190465	−	0.981694i	$-0.439000\pi$
$74$	−0.175465			−0.0203974
$75$	13.2427	−	1.54433i	1.52914	−	0.178324i
$76$	−1.99924			−0.229328
$77$	−0.827717	−	1.13925i	−0.0943271	−	0.129830i
$78$	−0.255995	−	0.0831780i	−0.0289858	−	0.00941805i
$79$	1.81147	−	5.57514i	0.203806	−	0.627252i	−0.795954	−	0.605357i	$-0.793030\pi$
$79$	1.81147	−	5.57514i	0.203806	−	0.627252i	0.999760	−	0.0218945i	$-0.00696980\pi$
$80$	−8.18220	−	3.58734i	−0.914798	−	0.401077i
$81$	−1.37106	−	4.21970i	−0.152340	−	0.468855i
$82$		−	0.238330i		−	0.0263191i
$83$	11.0850	−	3.60173i	1.21674	−	0.395342i	0.370844	−	0.928695i	$-0.379068\pi$
$83$	11.0850	−	3.60173i	1.21674	−	0.395342i	0.845892	+	0.533354i	$0.179068\pi$
$84$	3.31589	+	2.40913i	0.361793	+	0.262858i
$85$	−7.89266	+	4.61687i	−0.856079	+	0.500770i
$86$	−0.142191	+	0.103308i	−0.0153329	+	0.0111400i
$87$	−3.07649	+	4.23442i	−0.329834	+	0.453978i
$88$	−0.118798	+	0.163511i	−0.0126639	+	0.0174303i
$89$	−2.07106	+	1.50472i	−0.219532	+	0.159500i	−0.692116	−	0.721786i	$-0.743321\pi$
$89$	−2.07106	+	1.50472i	−0.219532	+	0.159500i	0.472584	+	0.881286i	$0.343321\pi$
$90$	0.0541341	+	0.247745i	0.00570623	+	0.0261146i
$91$	−2.27559	−	1.65331i	−0.238547	−	0.173314i
$92$	−3.05721	+	0.993348i	−0.318736	+	0.103564i
$93$		−	27.4251i		−	2.84385i
$94$	0.0626381	+	0.192780i	0.00646063	+	0.0198838i
$95$	−1.12903	−	1.93010i	−0.115836	−	0.198024i
$96$	0.272690	−	0.839253i	0.0278313	−	0.0856559i
$97$	−0.920953	−	0.299236i	−0.0935086	−	0.0303828i	0.261889	−	0.965098i	$-0.415655\pi$
$97$	−0.920953	−	0.299236i	−0.0935086	−	0.0303828i	−0.355398	+	0.934715i	$0.615655\pi$
$98$	0.103941	+	0.143062i	0.0104996	+	0.0144515i
$99$	−7.52818			−0.756610
$100$	−1.15788	−	9.92891i	−0.115788	−	0.992891i
$101$	−5.67921			−0.565103			−0.282551	−	0.959252i	$-0.591181\pi$
$101$	−5.67921			−0.565103			−0.282551	+	0.959252i	$0.591181\pi$
$102$	−0.176843	−	0.243403i	−0.0175100	−	0.0241005i
$103$	9.25619	+	3.00752i	0.912040	+	0.296340i	0.727197	−	0.686429i	$-0.240823\pi$
$103$	9.25619	+	3.00752i	0.912040	+	0.296340i	0.184842	+	0.982768i	$0.440823\pi$
$104$	−0.124751	+	0.383945i	−0.0122329	+	0.0376489i
$105$	−0.453245	+	4.56173i	−0.0442322	+	0.445179i
$106$	0.0335525	+	0.103264i	0.00325890	+	0.0100299i
$107$			17.7750i			1.71838i	0.511658	+	0.859189i	$0.329031\pi$
$107$			17.7750i			1.71838i	−0.511658	+	0.859189i	$0.670969\pi$
$108$	5.62877	−	1.82890i	0.541629	−	0.175986i
$109$	−1.80746	−	1.31320i	−0.173124	−	0.125782i	0.497849	−	0.867264i	$-0.334123\pi$
$109$	−1.80746	−	1.31320i	−0.173124	−	0.125782i	−0.670973	+	0.741482i	$0.734123\pi$
$110$	−0.112451	−	0.0111729i	−0.0107218	−	0.00106530i
$111$	−13.7184	+	9.96701i	−1.30209	+	0.946027i
$112$	1.80559	−	2.48518i	0.170612	−	0.234828i
$113$	0.806453	−	1.10999i	0.0758647	−	0.104419i	−0.769398	−	0.638769i	$-0.779444\pi$
$113$	0.806453	−	1.10999i	0.0758647	−	0.104419i	0.845263	+	0.534351i	$0.179444\pi$
$114$	0.0595228	−	0.0432458i	0.00557482	−	0.00405034i
$115$	−2.68549	−	2.39052i	−0.250424	−	0.222917i
$116$	3.17481	+	2.30664i	0.294774	+	0.214166i
$117$	−14.3011	+	4.64671i	−1.32214	+	0.429589i
$118$			0.285396i			0.0262728i
$119$	−0.971543	−	2.99010i	−0.0890612	−	0.274102i
$120$	0.642777	−	0.140451i	0.0586772	−	0.0128214i
$121$	−2.36253	+	7.27111i	−0.214775	+	0.661010i
$122$	0.214974	+	0.0698494i	0.0194629	+	0.00632387i
$123$	−13.5380	−	18.6334i	−1.22068	−	1.68012i
$124$	−20.5623			−1.84655
$125$	8.93166	−	6.72498i	0.798872	−	0.601501i
$126$	−0.0871935			−0.00776782
$127$	−9.62041	−	13.2414i	−0.853673	−	1.17498i	−0.983041	−	0.183384i	$-0.941295\pi$
$127$	−9.62041	−	13.2414i	−0.853673	−	1.17498i	0.129368	−	0.991597i	$-0.458705\pi$
$128$	−0.838934	−	0.272586i	−0.0741520	−	0.0240934i
$129$	−5.24873	+	16.1539i	−0.462125	+	1.42227i
$130$	−0.220517	+	0.0481846i	−0.0193406	+	0.00422607i
$131$	3.09817	+	9.53518i	0.270688	+	0.833092i	0.990328	+	0.138745i	$0.0443069\pi$
$131$	3.09817	+	9.53518i	0.270688	+	0.833092i	−0.719640	+	0.694347i	$0.755693\pi$
$132$			9.76410i			0.849856i
$133$	0.731211	−	0.237585i	0.0634041	−	0.0206012i
$134$	−0.0188951	−	0.0137281i	−0.00163228	−	0.00118592i
$135$	4.94438	+	4.40129i	0.425545	+	0.378803i
$136$	−0.365059	+	0.265231i	−0.0313035	+	0.0227433i
$137$	8.87770	−	12.2191i	0.758473	−	1.04395i	−0.238866	−	0.971052i	$-0.576776\pi$
$137$	8.87770	−	12.2191i	0.758473	−	1.04395i	0.997340	−	0.0728962i	$-0.0232242\pi$
$138$	0.0695343	−	0.0957057i	0.00591915	−	0.00814701i
$139$	−11.5726	+	8.40796i	−0.981572	+	0.713154i	−0.958059	−	0.286570i	$-0.907485\pi$
$139$	−11.5726	+	8.40796i	−0.981572	+	0.713154i	−0.0235125	+	0.999724i	$0.507485\pi$
$140$	3.42021	+	0.339826i	0.289061	+	0.0287206i
$141$	15.8478	+	11.5141i	1.33463	+	0.969665i
$142$	−0.195569	+	0.0635444i	−0.0164118	+	0.00533253i
$143$		−	6.70081i		−	0.560350i
$144$	−5.07469	−	15.6183i	−0.422891	−	1.30152i
$145$	−0.433962	+	4.36765i	−0.0360386	+	0.362713i
$146$	0.0994043	−	0.305935i	0.00822675	−	0.0253193i
$147$	16.2529	+	5.28087i	1.34051	+	0.435559i
$148$	7.47289	+	10.2856i	0.614268	+	0.845467i
$149$	5.56003			0.455496			0.227748	−	0.973720i	$-0.426864\pi$
$149$	5.56003			0.455496			0.227748	+	0.973720i	$0.426864\pi$
$150$	0.249247	+	0.270564i	0.0203509	+	0.0220915i
$151$	−13.7464			−1.11866			−0.559332	−	0.828944i	$-0.688942\pi$
$151$	−13.7464			−1.11866			−0.559332	+	0.828944i	$0.688942\pi$
$152$	−0.0648606	−	0.0892729i	−0.00526089	−	0.00724099i
$153$	−15.9850	−	5.19384i	−1.29231	−	0.419897i
$154$	0.0120069	−	0.0369534i	0.000967542	−	0.00297779i
$155$	−11.6121	−	19.8513i	−0.932710	−	1.59449i
$156$	6.02682	+	18.5486i	0.482532	+	1.48508i
$157$		−	9.17210i		−	0.732014i	−0.930612	−	0.366007i	$-0.880725\pi$
$157$		−	9.17210i		−	0.732014i	0.930612	−	0.366007i	$-0.119275\pi$
$158$	0.153830	−	0.0499823i	0.0122380	−	0.00397638i
$159$	8.48899	+	6.16761i	0.673220	+	0.489123i
$160$	−0.157968	−	0.722941i	−0.0124884	−	0.0571535i
$161$	1.00011	−	0.726624i	0.0788199	−	0.0572660i
$162$	0.0719579	−	0.0990415i	0.00565354	−	0.00778143i
$163$	0.627792	−	0.864082i	0.0491725	−	0.0676801i	−0.783723	−	0.621111i	$-0.786682\pi$
$163$	0.627792	−	0.864082i	0.0491725	−	0.0676801i	0.832895	+	0.553431i	$0.186682\pi$
$164$	−13.9706	+	10.1503i	−1.09092	+	0.792602i
$165$	−9.42645	+	5.51407i	−0.733848	+	0.429270i
$166$	0.260179	+	0.189031i	0.0201938	+	0.0146716i
$167$	2.01024	−	0.653166i	0.155557	−	0.0505435i	−0.230203	−	0.973143i	$-0.573939\pi$
$167$	2.01024	−	0.653166i	0.155557	−	0.0505435i	0.385760	+	0.922599i	$0.373939\pi$
$168$			0.226224i			0.0174536i
$169$	−0.118802	−	0.365636i	−0.00913864	−	0.0281258i
$170$	−0.231065	−	0.101306i	−0.0177219	−	0.00776984i
$171$	1.27012	−	3.90903i	0.0971287	−	0.298931i
$172$	12.1116	+	3.93530i	0.923502	+	0.300064i
$173$	−1.43992	−	1.98188i	−0.109475	−	0.150679i	0.750764	−	0.660571i	$-0.229686\pi$
$173$	−1.43992	−	1.98188i	−0.109475	−	0.150679i	−0.860239	+	0.509891i	$0.829686\pi$
$174$	−0.144418			−0.0109483
$175$	1.60342	+	3.49385i	0.121207	+	0.264110i
$176$	7.31797			0.551613
$177$	16.2115	+	22.3132i	1.21853	+	1.67716i
$178$	−0.0671779	−	0.0218274i	−0.00503520	−	0.00163604i
$179$	−4.51314	+	13.8900i	−0.337328	+	1.03819i	0.628236	+	0.778023i	$0.283777\pi$
$179$	−4.51314	+	13.8900i	−0.337328	+	1.03819i	−0.965564	+	0.260166i	$0.916223\pi$
$180$	12.2170	−	13.7245i	0.910602	−	1.02297i
$181$	−7.21989	−	22.2205i	−0.536650	−	1.65164i	−0.740056	−	0.672546i	$-0.765201\pi$
$181$	−7.21989	−	22.2205i	−0.536650	−	1.65164i	0.203405	−	0.979095i	$-0.434799\pi$
$182$		−	0.0776107i		−	0.00575289i
$183$	20.7751	−	6.75024i	1.53574	−	0.498992i
$184$	−0.143540	−	0.104288i	−0.0105819	−	0.00768823i
$185$	−5.70971	+	13.0230i	−0.419786	+	0.957472i
$186$	0.612197	−	0.444787i	0.0448885	−	0.0326134i
$187$	4.40239	−	6.05937i	0.321935	−	0.443105i
$188$	8.63287	−	11.8821i	0.629616	−	0.866593i
$189$	−1.84135	+	1.33782i	−0.133939	+	0.0973121i
$190$	0.0247738	−	0.0565055i	0.00179728	−	0.00409934i
$191$	3.56109	+	2.58729i	0.257672	+	0.187209i	0.709120	−	0.705088i	$-0.249092\pi$
$191$	3.56109	+	2.58729i	0.257672	+	0.187209i	−0.451448	+	0.892297i	$0.649092\pi$
$192$	−20.2416	+	6.57689i	−1.46081	+	0.474646i
$193$		−	2.92916i		−	0.210845i	−0.994428	−	0.105423i	$-0.966380\pi$
$193$		−	2.92916i		−	0.210845i	0.994428	−	0.105423i	$-0.0336195\pi$
$194$	−0.00825654	−	0.0254110i	−0.000592785	−	0.00182440i
$195$	−14.5037	+	16.2934i	−1.03863	+	1.16679i
$196$	3.95940	−	12.1858i	0.282814	−	0.870413i
$197$	20.3138	+	6.60036i	1.44730	+	0.470256i	0.924165	−	0.381993i	$-0.124762\pi$
$197$	20.3138	+	6.60036i	1.44730	+	0.470256i	0.523135	+	0.852250i	$0.324762\pi$
$198$	−0.122094	−	0.168048i	−0.00867682	−	0.0119426i
$199$	−10.4555			−0.741171			−0.370586	−	0.928798i	$-0.620843\pi$
$199$	−10.4555			−0.741171			−0.370586	+	0.928798i	$0.620843\pi$
$200$	0.405795	−	0.373823i	0.0286941	−	0.0264333i
$201$	−2.25708			−0.159202
$202$	−0.0921068	−	0.126774i	−0.00648061	−	0.00891979i
$203$	−1.43529	−	0.466353i	−0.100737	−	0.0327316i
$204$	−6.73645	+	20.7327i	−0.471646	+	1.45158i
$205$	−17.6889	−	7.75537i	−1.23544	−	0.541659i
$206$	0.0829837	+	0.255398i	0.00578175	+	0.0177944i
$207$		−	6.60873i		−	0.459338i
$208$	13.9018	−	4.51696i	0.963915	−	0.313195i
$209$	1.48178	+	1.07658i	0.102497	+	0.0744684i
$210$	−0.109180	+	0.0638656i	−0.00753413	+	0.00440714i
$211$	−10.4981	+	7.62731i	−0.722718	+	0.525086i	−0.887252	−	0.461286i	$-0.847388\pi$
$211$	−10.4981	+	7.62731i	−0.722718	+	0.525086i	0.164533	+	0.986372i	$0.447388\pi$
$212$	4.62424	−	6.36472i	0.317594	−	0.437131i
$213$	−11.6807	+	16.0771i	−0.800350	+	1.10159i
$214$	−0.396783	+	0.288280i	−0.0271235	+	0.0197064i
$215$	3.04056	+	13.9152i	0.207365	+	0.949006i
$216$	0.264279	+	0.192010i	0.0179819	+	0.0130646i
$217$	7.52057	−	2.44358i	0.510530	−	0.165881i
$218$		−	0.0616448i		−	0.00417511i
$219$	−9.60641	−	29.5655i	−0.649141	−	1.99785i
$220$	4.13424	+	7.06760i	0.278731	+	0.476497i
$221$	4.62302	−	14.2282i	0.310978	−	0.957092i
$222$	−0.444977	−	0.144582i	−0.0298649	−	0.00970369i
$223$	14.4185	+	19.8454i	0.965534	+	1.32894i	0.944271	+	0.329169i	$0.106769\pi$
$223$	14.4185	+	19.8454i	0.965534	+	1.32894i	0.0212628	+	0.999774i	$0.493231\pi$
$224$	0.254438			0.0170004
$225$	20.1492	+	4.04390i	1.34328	+	0.269594i
$226$	0.0378569			0.00251820
$227$	7.55682	+	10.4011i	0.501564	+	0.690343i	0.982468	−	0.186430i	$-0.0596916\pi$
$227$	7.55682	+	10.4011i	0.501564	+	0.690343i	−0.480904	+	0.876773i	$0.659692\pi$
$228$	−5.07005	−	1.64736i	−0.335772	−	0.109099i
$229$	8.26627	−	25.4410i	0.546251	−	1.68119i	−0.171747	−	0.985141i	$-0.554941\pi$
$229$	8.26627	−	25.4410i	0.546251	−	1.68119i	0.717998	−	0.696046i	$-0.245059\pi$
$230$	0.00980833	−	0.0987168i	0.000646742	−	0.00650919i
$231$	−1.16034	−	3.57117i	−0.0763450	−	0.234966i
$232$			0.216600i			0.0142205i
$233$	−6.16023	+	2.00158i	−0.403570	+	0.131128i	−0.503767	−	0.863840i	$-0.668053\pi$
$233$	−6.16023	+	2.00158i	−0.403570	+	0.131128i	0.100197	+	0.994968i	$0.468053\pi$
$234$	−0.335665	−	0.243875i	−0.0219431	−	0.0159426i
$235$	16.3465	+	1.62416i	1.06632	+	0.105948i
$236$	16.7296	−	12.1548i	1.08900	−	0.791208i
$237$	9.18774	−	12.6458i	0.596808	−	0.821436i
$238$	0.0509898	−	0.0701814i	0.00330518	−	0.00454918i
$239$	22.4222	−	16.2906i	1.45037	−	1.05375i	0.464623	−	0.885508i	$-0.346190\pi$
$239$	22.4222	−	16.2906i	1.45037	−	1.05375i	0.985745	−	0.168246i	$-0.0538103\pi$
$240$	−17.7940	−	15.8395i	−1.14860	−	1.02244i
$241$	5.47849	+	3.98036i	0.352900	+	0.256397i	0.750085	−	0.661342i	$-0.230013\pi$
$241$	5.47849	+	3.98036i	0.352900	+	0.256397i	−0.397184	+	0.917739i	$0.630013\pi$
$242$	−0.200625	+	0.0651871i	−0.0128967	+	0.00419039i
$243$		−	20.7119i		−	1.32867i
$244$	−5.06107	−	15.5764i	−0.324002	−	0.997176i
$245$	14.0004	−	3.05918i	0.894451	−	0.195444i
$246$	0.196382	−	0.604402i	0.0125209	−	0.0385353i
$247$	3.47942	+	1.13053i	0.221390	+	0.0719340i
$248$	−0.667097	−	0.918180i	−0.0423607	−	0.0583045i
$249$	31.0792			1.96957
$250$	0.294974	+	0.0903096i	0.0186558	+	0.00571168i
$251$	13.6985			0.864644			0.432322	−	0.901719i	$-0.357694\pi$
$251$	13.6985			0.864644			0.432322	+	0.901719i	$0.357694\pi$
$252$	3.71350	+	5.11119i	0.233928	+	0.321975i
$253$	2.80084	+	0.910047i	0.176087	+	0.0572142i
$254$	0.139554	−	0.429503i	0.00875639	−	0.0269494i
$255$	−23.8200	+	5.20484i	−1.49166	+	0.325939i
$256$	4.92546	+	15.1590i	0.307841	+	0.947438i
$257$		−	5.78308i		−	0.360739i	−0.983599	−	0.180369i	$-0.942271\pi$
$257$		−	5.78308i		−	0.360739i	0.983599	−	0.180369i	$-0.0577293\pi$
$258$	−0.445721	+	0.144823i	−0.0277494	+	0.00901632i
$259$	−3.95548	−	2.87383i	−0.245782	−	0.178571i
$260$	12.2162	+	10.8743i	0.757614	+	0.674397i
$261$	−6.52704	+	4.74217i	−0.404014	+	0.293533i
$262$	−0.162602	+	0.223802i	−0.0100456	+	0.0138266i
$263$	13.1613	−	18.1149i	0.811558	−	1.11701i	−0.179523	−	0.983754i	$-0.557455\pi$
$263$	13.1613	−	18.1149i	0.811558	−	1.11701i	0.991081	−	0.133260i	$-0.0425446\pi$
$264$	−0.436001	+	0.316773i	−0.0268340	+	0.0194960i
$265$	8.75607	+	0.869988i	0.537881	+	0.0534429i
$266$	0.0171624	+	0.0124692i	0.00105230	+	0.000764538i
$267$	−6.49207	+	2.10940i	−0.397308	+	0.129093i
$268$			1.69227i			0.103372i
$269$	8.20266	+	25.2452i	0.500125	+	1.53923i	0.808815	+	0.588064i	$0.200110\pi$
$269$	8.20266	+	25.2452i	0.500125	+	1.53923i	−0.308689	+	0.951163i	$0.599890\pi$
$270$	−0.0180586	+	0.181752i	−0.00109901	+	0.0110611i
$271$	−3.90538	+	12.0195i	−0.237235	+	0.730134i	0.759582	+	0.650411i	$0.225404\pi$
$271$	−3.90538	+	12.0195i	−0.237235	+	0.730134i	−0.996817	+	0.0797228i	$0.974596\pi$
$272$	15.5386	+	5.04881i	0.942169	+	0.306129i
$273$	−4.40856	−	6.06786i	−0.266818	−	0.367243i
$274$	0.416741			0.0251763
$275$	−4.48847	+	7.98255i	−0.270665	+	0.481366i
$276$	−8.57157			−0.515948
$277$	−4.75550	−	6.54538i	−0.285730	−	0.393274i	0.641891	−	0.766796i	$-0.278150\pi$
$277$	−4.75550	−	6.54538i	−0.285730	−	0.393274i	−0.927621	+	0.373522i	$0.878150\pi$
$278$	−0.375373	−	0.121966i	−0.0225134	−	0.00731504i
$279$	13.0633	−	40.2047i	0.782080	−	2.40700i
$280$	0.0957863	+	0.163749i	0.00572432	+	0.00978588i
$281$	−6.32672	−	19.4716i	−0.377420	−	1.16158i	−0.941831	−	0.336086i	$-0.890897\pi$
$281$	−6.32672	−	19.4716i	−0.377420	−	1.16158i	0.564411	−	0.825494i	$-0.309103\pi$
$282$			0.540502i			0.0321864i
$283$	−7.66457	+	2.49037i	−0.455612	+	0.148037i	−0.527827	−	0.849352i	$-0.676993\pi$
$283$	−7.66457	+	2.49037i	−0.455612	+	0.148037i	0.0722155	+	0.997389i	$0.476993\pi$
$284$	12.0540	+	8.75777i	0.715275	+	0.519678i
$285$	−1.27281	−	5.82503i	−0.0753948	−	0.345045i
$286$	0.149579	−	0.108675i	0.00884477	−	0.00642610i
$287$	3.90346	−	5.37265i	0.230414	−	0.317137i
$288$	0.799516	−	1.10044i	0.0471119	−	0.0648440i
$289$	−0.224971	+	0.163451i	−0.0132336	+	0.00961478i
$290$	−0.104535	+	0.0611484i	−0.00613850	+	0.00359076i
$291$	−2.08896	−	1.51772i	−0.122457	−	0.0889701i
$292$	−22.1671	+	7.20253i	−1.29723	+	0.421496i
$293$			31.9998i			1.86945i	0.355373	+	0.934725i	$0.384354\pi$
$293$			31.9998i			1.86945i	−0.355373	+	0.934725i	$0.615646\pi$
$294$	0.145710	+	0.448450i	0.00849800	+	0.0261542i
$295$	21.1821	+	9.28692i	1.23327	+	0.540706i
$296$	−0.216845	+	0.667381i	−0.0126039	+	0.0387907i
$297$	−5.15674	−	1.67553i	−0.299225	−	0.0972240i
$298$	0.0901739	+	0.124114i	0.00522363	+	0.00718971i
$299$	5.88241			0.340188
$300$	5.24497	−	26.1337i	0.302819	−	1.50883i
$301$	−4.89742			−0.282283
$302$	−0.222942	−	0.306853i	−0.0128289	−	0.0176574i
$303$	−14.4024	−	4.67963i	−0.827397	−	0.268838i
$304$	−1.23466	+	3.79988i	−0.0708124	+	0.217938i
$305$	12.1796	−	13.6825i	0.697402	−	0.783457i
$306$	−0.143309	−	0.441059i	−0.00819243	−	0.0252137i
$307$			16.4767i			0.940374i	0.882567	+	0.470187i	$0.155814\pi$
$307$			16.4767i			0.940374i	−0.882567	+	0.470187i	$0.844186\pi$
$308$	−2.67753	+	0.869982i	−0.152566	+	0.0495718i
$309$	20.9954	+	15.2541i	1.19439	+	0.867773i
$310$	0.254801	−	0.581164i	0.0144717	−	0.0330079i
$311$	−2.91452	+	2.11752i	−0.165267	+	0.120074i	−0.667345	−	0.744749i	$-0.732569\pi$
$311$	−2.91452	+	2.11752i	−0.165267	+	0.120074i	0.502078	+	0.864823i	$0.332569\pi$
$312$	−0.632735	+	0.870885i	−0.0358216	+	0.0493042i
$313$	−2.54740	+	3.50620i	−0.143988	+	0.198182i	−0.874919	−	0.484268i	$-0.839086\pi$
$313$	−2.54740	+	3.50620i	−0.143988	+	0.198182i	0.730932	+	0.682451i	$0.239086\pi$
$314$	0.204744	−	0.148755i	0.0115544	−	0.00839474i
$315$	−2.83732	+	6.47151i	−0.159865	+	0.364629i
$316$	−9.48138	−	6.88862i	−0.533369	−	0.387515i
$317$	−14.6901	+	4.77309i	−0.825076	+	0.268083i	−0.690970	−	0.722884i	$-0.742816\pi$
$317$	−14.6901	+	4.77309i	−0.825076	+	0.268083i	−0.134106	+	0.990967i	$0.542816\pi$
$318$			0.289523i			0.0162356i
$319$	−1.11098	−	3.41923i	−0.0622027	−	0.191440i
$320$	−11.8668	+	13.3311i	−0.663376	+	0.745232i
$321$	−14.6465	+	45.0773i	−0.817488	+	2.51597i
$322$	0.0324401	+	0.0105404i	0.00180782	+	0.000587395i
$323$	2.40360	+	3.30827i	0.133740	+	0.184077i
$324$	−8.87032			−0.492796
$325$	−3.59946	+	17.9347i	−0.199662	+	0.994841i
$326$	0.0294701			0.00163220
$327$	−3.50164	−	4.81959i	−0.193641	−	0.266524i
$328$	−0.906489	−	0.294536i	−0.0500525	−	0.0162630i
$329$	−1.74538	+	5.37173i	−0.0962260	+	0.296153i
$330$	−0.275968	−	0.120993i	−0.0151915	−	0.00666046i
$331$	−5.57106	−	17.1460i	−0.306213	−	0.942427i	−0.979222	−	0.202793i	$-0.934998\pi$
$331$	−5.57106	−	17.1460i	−0.306213	−	0.942427i	0.673009	−	0.739635i	$-0.265002\pi$
$332$		−	23.3020i		−	1.27887i
$333$	−24.8585	+	8.07701i	−1.36224	+	0.442618i
$334$	0.0471828	+	0.0342803i	0.00258173	+	0.00187573i
$335$	−1.63375	+	0.955676i	−0.0892614	+	0.0522141i
$336$	6.62672	−	4.81460i	0.361517	−	0.262658i
$337$	10.5792	−	14.5610i	0.576283	−	0.793186i	−0.416999	−	0.908907i	$-0.636918\pi$
$337$	10.5792	−	14.5610i	0.576283	−	0.793186i	0.993282	+	0.115721i	$0.0369180\pi$
$338$	0.00623514	−	0.00858193i	0.000339147	−	0.000466795i
$339$	2.95978	−	2.15040i	0.160753	−	0.116794i
$340$	3.90239	+	17.8593i	0.211637	+	0.968557i
$341$	15.2403	+	11.0727i	0.825306	+	0.599620i
$342$	0.107858	−	0.0350453i	0.00583232	−	0.00189503i
$343$			10.3093i			0.556650i
$344$	0.217208	+	0.668497i	0.0117111	+	0.0360429i
$345$	−4.84061	−	8.27515i	−0.260610	−	0.445519i
$346$	0.0208875	−	0.0642851i	0.00112292	−	0.00345599i
$347$	1.63068	+	0.529840i	0.0875394	+	0.0284433i	0.352459	−	0.935827i	$-0.385345\pi$
$347$	1.63068	+	0.529840i	0.0875394	+	0.0284433i	−0.264920	+	0.964270i	$0.585345\pi$
$348$	6.15064	+	8.46563i	0.329709	+	0.453805i
$349$	−2.30030			−0.123132			−0.0615662	−	0.998103i	$-0.519610\pi$
$349$	−2.30030			−0.123132			−0.0615662	+	0.998103i	$0.519610\pi$
$350$	−0.0519867	+	0.0924562i	−0.00277881	+	0.00494199i
$351$	−10.8304			−0.578082
$352$	0.356280	+	0.490377i	0.0189898	+	0.0261372i
$353$	−20.5409	−	6.67416i	−1.09328	−	0.355230i	−0.293770	−	0.955876i	$-0.594910\pi$
$353$	−20.5409	−	6.67416i	−1.09328	−	0.355230i	−0.799515	+	0.600647i	$0.794910\pi$
$354$	−0.235164	+	0.723761i	−0.0124988	+	0.0384675i
$355$	−1.64765	+	16.5830i	−0.0874484	+	0.880132i
$356$	1.58155	+	4.86751i	0.0838219	+	0.257977i
$357$		−	8.38341i		−	0.443697i
$358$	−0.383255	+	0.124527i	−0.0202557	+	0.00658146i
$359$	−2.73991	−	1.99066i	−0.144607	−	0.105063i	0.513130	−	0.858311i	$-0.328486\pi$
$359$	−2.73991	−	1.99066i	−0.144607	−	0.105063i	−0.657737	+	0.753248i	$0.728486\pi$
$360$	1.00920	+	0.100272i	0.0531895	+	0.00528481i
$361$	−0.809017	+	0.587785i	−0.0425798	+	0.0309361i
$362$	0.378924	−	0.521544i	0.0199158	−	0.0274117i
$363$	−11.9827	+	16.4928i	−0.628928	+	0.865645i
$364$	−4.54945	+	3.30537i	−0.238456	+	0.173249i
$365$	−19.4719	−	17.3331i	−1.01920	−	0.907254i
$366$	0.487617	+	0.354275i	0.0254882	+	0.0185182i
$367$	15.7089	−	5.10414i	0.819999	−	0.266434i	0.131172	−	0.991360i	$-0.458126\pi$
$367$	15.7089	−	5.10414i	0.819999	−	0.266434i	0.688827	+	0.724926i	$0.258126\pi$
$368$			6.42419i			0.334884i
$369$	−10.9708	−	33.7647i	−0.571119	−	1.75772i
$370$	−0.383307	+	0.0837555i	−0.0199272	+	0.00435424i
$371$	−0.934924	+	2.87740i	−0.0485388	+	0.149387i
$372$	−52.1459	−	16.9432i	−2.70364	−	0.878465i
$373$	11.5427	+	15.8871i	0.597657	+	0.822604i	0.995491	−	0.0948534i	$-0.0302382\pi$
$373$	11.5427	+	15.8871i	0.597657	+	0.822604i	−0.397835	+	0.917457i	$0.630238\pi$
$374$	0.206659			0.0106861
$375$	28.1919	−	9.69485i	1.45583	−	0.500640i
$376$	0.810651			0.0418061
$377$	−4.22099	−	5.80970i	−0.217392	−	0.299215i
$378$	−0.0597269	−	0.0194065i	−0.00307202	−	0.000998160i
$379$	−3.64512	+	11.2185i	−0.187237	+	0.576256i	−0.999980	−	0.00636636i	$-0.997974\pi$
$379$	−3.64512	+	11.2185i	−0.187237	+	0.576256i	0.812743	+	0.582623i	$0.197974\pi$
$380$	−4.36739	+	0.954306i	−0.224042	+	0.0489549i
$381$	−13.4865	−	41.5071i	−0.690933	−	2.12647i
$382$			0.121454i			0.00621411i
$383$	−11.3106	+	3.67503i	−0.577944	+	0.187785i	−0.583379	−	0.812200i	$-0.698270\pi$
$383$	−11.3106	+	3.67503i	−0.577944	+	0.187785i	0.00543518	+	0.999985i	$0.498270\pi$
$384$	−1.90292	−	1.38255i	−0.0971078	−	0.0705530i
$385$	−2.35198	−	2.09363i	−0.119868	−	0.106701i
$386$	0.0653860	−	0.0475057i	0.00332806	−	0.00241798i
$387$	−15.3891	+	21.1813i	−0.782271	+	1.07670i
$388$	−1.13793	+	1.56622i	−0.0577695	+	0.0795129i
$389$	−10.3477	+	7.51803i	−0.524648	+	0.381179i	−0.818352	−	0.574717i	$-0.805112\pi$
$389$	−10.3477	+	7.51803i	−0.524648	+	0.381179i	0.293704	+	0.955896i	$0.405112\pi$
$390$	−0.598932	−	0.0595089i	−0.0303281	−	0.00301335i
$391$	5.31931	+	3.86471i	0.269009	+	0.195447i
$392$	0.672590	−	0.218538i	0.0339709	−	0.0110378i
$393$			26.7340i			1.34855i
$394$	0.182118	+	0.560501i	0.00917497	+	0.0282376i
$395$	1.29600	−	13.0437i	0.0652088	−	0.656300i
$396$	−4.65090	+	14.3140i	−0.233716	+	0.719305i
$397$	−36.9601	−	12.0091i	−1.85498	−	0.602718i	−0.995856	−	0.0909426i	$-0.971012\pi$
$397$	−36.9601	−	12.0091i	−1.85498	−	0.602718i	−0.859119	−	0.511775i	$-0.828988\pi$
$398$	−0.169570	−	0.233393i	−0.00849976	−	0.0116989i
$399$	2.05011			0.102634
$400$	−19.5866	−	3.93099i	−0.979329	−	0.196549i
$401$	−8.31234			−0.415098			−0.207549	−	0.978225i	$-0.566549\pi$
$401$	−8.31234			−0.415098			−0.207549	+	0.978225i	$0.566549\pi$
$402$	−0.0366058	−	0.0503836i	−0.00182573	−	0.00251291i
$403$	35.7861	+	11.6276i	1.78263	+	0.579213i
$404$	−3.50861	+	10.7984i	−0.174560	+	0.537240i
$405$	−5.00933	−	8.56358i	−0.248915	−	0.425528i
$406$	−0.0128677	−	0.0396026i	−0.000638611	−	0.00196544i
$407$		−	11.6475i		−	0.577344i
$408$	−1.14433	+	0.371816i	−0.0566529	+	0.0184076i
$409$	15.2782	+	11.1002i	0.755456	+	0.548871i	0.897513	−	0.440988i	$-0.145372\pi$
$409$	15.2782	+	11.1002i	0.755456	+	0.548871i	−0.142057	+	0.989858i	$0.545372\pi$
$410$	−0.113763	−	0.520638i	−0.00561836	−	0.0257125i
$411$	32.5822	−	23.6723i	1.60716	−	1.16767i
$412$	11.4369	−	15.7416i	0.563457	−	0.775532i
$413$	−4.67432	+	6.43365i	−0.230008	+	0.316579i
$414$	0.147523	−	0.107182i	0.00725036	−	0.00526770i
$415$	22.4962	−	13.1593i	1.10430	−	0.645966i
$416$	0.979498	+	0.711647i	0.0480238	+	0.0348914i
$417$	−36.2760	+	11.7868i	−1.77644	+	0.577201i
$418$			0.0505372i			0.00247186i
$419$	6.85584	+	21.1001i	0.334930	+	1.03081i	0.966757	+	0.255698i	$0.0823053\pi$
$419$	6.85584	+	21.1001i	0.334930	+	1.03081i	−0.631827	+	0.775109i	$0.717695\pi$
$420$	8.39360	+	3.68002i	0.409566	+	0.179567i
$421$	8.68387	−	26.7262i	0.423226	−	1.30256i	−0.481457	−	0.876470i	$-0.659892\pi$
$421$	8.68387	−	26.7262i	0.423226	−	1.30256i	0.904683	−	0.426085i	$-0.140108\pi$
$422$	−0.340521	−	0.110642i	−0.0165763	−	0.00538597i
$423$	17.7482	+	24.4283i	0.862945	+	1.18774i
$424$	0.434229			0.0210880
$425$	−15.0379	+	13.8531i	−0.729447	+	0.671975i
$426$	−0.548322			−0.0265663
$427$	3.70212	+	5.09554i	0.179158	+	0.246590i
$428$	33.7973	+	10.9814i	1.63365	+	0.530806i
$429$	5.52141	−	16.9932i	0.266576	−	0.820438i
$430$	−0.261308	+	0.293552i	−0.0126014	+	0.0141563i
$431$	−2.66358	−	8.19766i	−0.128300	−	0.394867i	0.866188	−	0.499719i	$-0.166563\pi$
$431$	−2.66358	−	8.19766i	−0.128300	−	0.394867i	−0.994488	+	0.104851i	$0.966563\pi$
$432$		−	11.8279i		−	0.569068i
$433$	−20.2075	+	6.56581i	−0.971110	+	0.315533i	−0.751264	−	0.660002i	$-0.770555\pi$
$433$	−20.2075	+	6.56581i	−0.971110	+	0.315533i	−0.219846	+	0.975535i	$0.570555\pi$
$434$	0.176517	+	0.128247i	0.00847309	+	0.00615606i
$435$	−4.69943	+	10.7187i	−0.225321	+	0.513923i
$436$	−3.61355	+	2.62540i	−0.173058	+	0.125734i
$437$	−0.945090	+	1.30081i	−0.0452098	+	0.0622260i
$438$	0.504176	−	0.693939i	0.0240905	−	0.0331577i
$439$	14.7777	−	10.7366i	0.705302	−	0.512432i	−0.176353	−	0.984327i	$-0.556430\pi$
$439$	14.7777	−	10.7366i	0.705302	−	0.512432i	0.881655	+	0.471895i	$0.156430\pi$
$440$	−0.181467	+	0.413900i	−0.00865109	+	0.0197319i
$441$	21.3110	+	15.4833i	1.01481	+	0.737301i
$442$	0.392586	−	0.127559i	0.0186734	−	0.00606735i
$443$			12.7099i			0.603864i	0.953330	+	0.301932i	$0.0976315\pi$
$443$			12.7099i			0.603864i	−0.953330	+	0.301932i	$0.902369\pi$
$444$	10.4759	+	32.2417i	0.497167	+	1.53012i
$445$	−3.80604	+	4.27568i	−0.180423	+	0.202687i
$446$	−0.209155	+	0.643713i	−0.00990378	+	0.0304807i
$447$	14.1002	+	4.58143i	0.666915	+	0.216694i
$448$	−3.60705	−	4.96468i	−0.170417	−	0.234559i
$449$	−27.3814			−1.29221			−0.646104	−	0.763249i	$-0.723603\pi$
$449$	−27.3814			−1.29221			−0.646104	+	0.763249i	$0.723603\pi$
$450$	0.236515	+	0.515365i	0.0111494	+	0.0242945i
$451$	15.8205			0.744959
$452$	−1.61229	−	2.21913i	−0.0758358	−	0.104379i
$453$	−34.8607	−	11.3269i	−1.63790	−	0.532185i
$454$	−0.109619	+	0.337374i	−0.00514470	+	0.0158337i
$455$	−5.76027	−	2.52549i	−0.270046	−	0.118397i
$456$	−0.0909254	−	0.279840i	−0.00425797	−	0.0131047i
$457$		−	31.1691i		−	1.45803i	−0.684499	−	0.729014i	$-0.739979\pi$
$457$		−	31.1691i		−	1.45803i	0.684499	−	0.729014i	$-0.260021\pi$
$458$	0.701970	−	0.228084i	0.0328009	−	0.0106577i
$459$	−9.79362	−	7.11548i	−0.457127	−	0.332122i
$460$	−6.20440	+	3.62931i	−0.289282	+	0.169217i
$461$	25.5235	−	18.5439i	1.18875	−	0.863677i	0.195618	−	0.980680i	$-0.437329\pi$
$461$	25.5235	−	18.5439i	1.18875	−	0.863677i	0.993132	+	0.117003i	$0.0373288\pi$
$462$	0.0608986	−	0.0838198i	0.00283326	−	0.00389965i
$463$	6.54240	−	9.00484i	0.304051	−	0.418491i	−0.629463	−	0.777030i	$-0.716725\pi$
$463$	6.54240	−	9.00484i	0.304051	−	0.418491i	0.933515	+	0.358540i	$0.116725\pi$
$464$	6.34479	−	4.60976i	0.294549	−	0.214003i
$465$	−13.0910	−	59.9109i	−0.607079	−	2.77830i
$466$	−0.144588	−	0.105049i	−0.00669792	−	0.00486632i
$467$	−11.5558	+	3.75472i	−0.534740	+	0.173747i	−0.563924	−	0.825827i	$-0.690709\pi$
$467$	−11.5558	+	3.75472i	−0.534740	+	0.173747i	0.0291844	+	0.999574i	$0.490709\pi$
$468$			30.0627i			1.38965i
$469$	−0.201106	−	0.618940i	−0.00928621	−	0.0285800i
$470$	0.228855	+	0.391234i	0.0105563	+	0.0180463i
$471$	7.55774	−	23.2603i	0.348242	−	1.07178i
$472$	1.08550	+	0.352702i	0.0499644	+	0.0162344i
$473$	−6.85767	−	9.43877i	−0.315316	−	0.433995i
$474$	0.431295			0.0198101
$475$	−3.38769	−	3.67743i	−0.155438	−	0.168732i
$476$	−6.28556			−0.288098
$477$	9.50690	+	13.0851i	0.435291	+	0.599127i
$478$	0.727295	+	0.236313i	0.0332657	+	0.0108087i
$479$	3.71278	−	11.4268i	0.169641	−	0.522102i	−0.829707	−	0.558199i	$-0.811492\pi$
$479$	3.71278	−	11.4268i	0.169641	−	0.522102i	0.999348	+	0.0360969i	$0.0114925\pi$
$480$	0.195093	−	1.96353i	0.00890475	−	0.0896226i
$481$	−7.18932	−	22.1265i	−0.327805	−	1.00888i
$482$			0.186848i			0.00851068i
$483$	3.13501	−	1.01863i	0.142648	−	0.0463491i
$484$	12.3656	+	8.98417i	0.562075	+	0.408371i
$485$	−2.15468	−	0.214085i	−0.0978390	−	0.00972111i
$486$	0.462341	−	0.335910i	0.0209722	−	0.0152372i
$487$	22.4352	−	30.8795i	1.01664	−	1.39928i	0.102104	−	0.994774i	$-0.467443\pi$
$487$	22.4352	−	30.8795i	1.01664	−	1.39928i	0.914534	−	0.404508i	$-0.132557\pi$
$488$	0.531345	−	0.731333i	0.0240528	−	0.0331059i
$489$	2.30407	−	1.67400i	0.104194	−	0.0757011i
$490$	0.295350	+	0.262908i	0.0133425	+	0.0118770i
$491$	−15.8799	−	11.5374i	−0.716649	−	0.520676i	0.168663	−	0.985674i	$-0.446055\pi$
$491$	−15.8799	−	11.5374i	−0.716649	−	0.520676i	−0.885312	+	0.464998i	$0.846055\pi$
$492$	−43.7931	+	14.2292i	−1.97435	+	0.641504i
$493$		−	8.02673i		−	0.361506i
$494$	0.0311937	+	0.0960044i	0.00140347	+	0.00431944i
$495$	−16.4455	+	3.59346i	−0.739170	+	0.161514i
$496$	−12.6986	+	39.0821i	−0.570182	+	1.75484i
$497$	−5.44945	−	1.77063i	−0.244441	−	0.0794238i
$498$	0.504050	+	0.693765i	0.0225870	+	0.0310884i
$499$	4.70597			0.210668			0.105334	−	0.994437i	$-0.466409\pi$
$499$	4.70597			0.210668			0.105334	+	0.994437i	$0.466409\pi$
$500$	−7.26883	−	21.1373i	−0.325072	−	0.945287i
$501$	5.63614			0.251804
$502$	0.222166	+	0.305785i	0.00991575	+	0.0136479i
$503$	−1.97102	−	0.640423i	−0.0878834	−	0.0285550i	0.264745	−	0.964318i	$-0.414712\pi$
$503$	−1.97102	−	0.640423i	−0.0878834	−	0.0285550i	−0.352629	+	0.935763i	$0.614712\pi$
$504$	−0.107757	+	0.331641i	−0.00479986	+	0.0147725i
$505$	−12.4064	+	2.71089i	−0.552077	+	0.120633i
$506$	0.0251101	+	0.0772809i	0.00111628	+	0.00343556i
$507$		−	1.02514i		−	0.0455281i
$508$	−31.1204	+	10.1116i	−1.38075	+	0.448632i
$509$	−24.8135	−	18.0280i	−1.09984	−	0.799079i	−0.118804	−	0.992918i	$-0.537906\pi$
$509$	−24.8135	−	18.0280i	−1.09984	−	0.799079i	−0.981033	+	0.193839i	$0.937906\pi$
$510$	−0.502502	−	0.447307i	−0.0222512	−	0.0198071i
$511$	7.25157	−	5.26858i	0.320791	−	0.233068i
$512$	−1.29548	+	1.78308i	−0.0572528	+	0.0788017i
$513$	1.74005	−	2.39497i	0.0768250	−	0.105741i
$514$	0.129093	−	0.0937914i	0.00569404	−	0.00413696i
$515$	21.6560	+	2.15170i	0.954276	+	0.0948152i
$516$	27.4722	+	19.9598i	1.20940	+	0.878679i
$517$	−12.7969	+	4.15796i	−0.562807	+	0.182867i
$518$		−	0.134905i		−	0.00592737i
$519$	−2.01856	−	6.21250i	−0.0886051	−	0.272698i
$520$	−0.0892520	+	0.898285i	−0.00391396	+	0.0393924i
$521$	−0.909425	+	2.79892i	−0.0398426	+	0.122623i	−0.968999	−	0.247063i	$-0.920535\pi$
$521$	−0.909425	+	2.79892i	−0.0398426	+	0.122623i	0.929157	+	0.369686i	$0.120535\pi$
$522$	−0.211714	−	0.0687901i	−0.00926648	−	0.00301086i
$523$	9.02781	+	12.4257i	0.394759	+	0.543339i	0.959419	−	0.281985i	$-0.0909928\pi$
$523$	9.02781	+	12.4257i	0.394759	+	0.543339i	−0.564660	+	0.825323i	$0.690993\pi$
$524$	20.0441			0.875632
$525$	1.18734	+	10.1816i	0.0518200	+	0.444360i
$526$	0.617822			0.0269383
$527$	24.7212	+	34.0258i	1.07687	+	1.48219i
$528$	18.5583	+	6.02995i	0.807646	+	0.262420i
$529$	6.30849	−	19.4155i	0.274282	−	0.844154i
$530$	0.122588	+	0.209567i	0.00532487	+	0.00910300i
$531$	13.1374	+	40.4327i	0.570114	+	1.75463i
$532$		−	1.53710i		−	0.0666416i
$533$	30.0539	−	9.76510i	1.30178	−	0.422973i
$534$	−0.152377	−	0.110708i	−0.00659399	−	0.00479081i
$535$	8.48464	+	38.8300i	0.366823	+	1.67877i
$536$	−0.0755658	+	0.0549018i	−0.00326395	+	0.00237140i
$537$	−22.8906	+	31.5062i	−0.987801	+	1.35959i
$538$	−0.430503	+	0.592536i	−0.0185603	+	0.0255460i
$539$	−9.49657	+	6.89966i	−0.409046	+	0.297189i
$540$	11.4232	−	6.68208i	0.491576	−	0.287551i
$541$	−33.9529	−	24.6682i	−1.45975	−	1.06057i	−0.983428	−	0.181297i	$-0.941970\pi$
$541$	−33.9529	−	24.6682i	−1.45975	−	1.06057i	−0.476320	−	0.879272i	$-0.658030\pi$
$542$	−0.331644	+	0.107758i	−0.0142453	+	0.00462859i
$543$		−	62.3002i		−	2.67356i
$544$	0.418187	+	1.28705i	0.0179296	+	0.0551817i
$545$	−4.57529	−	2.00595i	−0.195984	−	0.0859255i
$546$	0.0639506	−	0.196820i	0.00273683	−	0.00842311i
$547$	15.1370	+	4.91830i	0.647211	+	0.210292i	0.614184	−	0.789163i	$-0.289485\pi$
$547$	15.1370	+	4.91830i	0.647211	+	0.210292i	0.0330269	+	0.999454i	$0.489485\pi$
$548$	−17.7486	−	24.4289i	−0.758184	−	1.04355i
$549$	33.6712			1.43705
$550$	−0.250985	+	0.0292692i	−0.0107020	+	0.00124804i
$551$	1.96289			0.0836219
$552$	−0.278084	−	0.382750i	−0.0118360	−	0.0162909i
$553$	4.28639	+	1.39273i	0.182276	+	0.0592251i
$554$	0.0689834	−	0.212309i	0.00293082	−	0.00902014i
$555$	−25.2106	+	28.3215i	−1.07013	+	1.20218i
$556$	8.83729	+	27.1984i	0.374784	+	1.15347i
$557$		−	40.2180i		−	1.70409i	−0.523466	−	0.852046i	$-0.675361\pi$
$557$		−	40.2180i		−	1.70409i	0.523466	−	0.852046i	$-0.324639\pi$
$558$	1.10933	−	0.360444i	0.0469618	−	0.0152588i
$559$	−18.8534	−	13.6978i	−0.797412	−	0.579354i
$560$	2.75809	−	6.29081i	0.116551	−	0.265835i
$561$	16.1573	−	11.7390i	0.682161	−	0.495619i
$562$	0.332047	−	0.457023i	0.0140066	−	0.0192784i
$563$	−19.3842	+	26.6801i	−0.816947	+	1.12443i	0.173267	+	0.984875i	$0.444568\pi$
$563$	−19.3842	+	26.6801i	−0.816947	+	1.12443i	−0.990214	+	0.139556i	$0.955432\pi$
$564$	31.6836	−	23.0195i	1.33412	−	0.969296i
$565$	1.23188	−	2.80974i	0.0518256	−	0.118207i
$566$	−0.179897	−	0.130703i	−0.00756164	−	0.00549385i
$567$	3.24428	−	1.05413i	0.136247	−	0.0442693i
$568$			0.822379i			0.0345063i
$569$	6.21279	+	19.1210i	0.260454	+	0.801594i	0.992706	+	0.120560i	$0.0384692\pi$
$569$	6.21279	+	19.1210i	0.260454	+	0.801594i	−0.732252	+	0.681033i	$0.761531\pi$
$570$	0.109386	−	0.122884i	0.00458169	−	0.00514704i
$571$	−11.7257	+	36.0880i	−0.490705	+	1.51023i	0.332840	+	0.942983i	$0.391993\pi$
$571$	−11.7257	+	36.0880i	−0.490705	+	1.51023i	−0.823545	+	0.567251i	$0.808007\pi$
$572$	−12.7408	−	4.13975i	−0.532721	−	0.173092i
$573$	6.89899	+	9.49564i	0.288209	+	0.396686i
$574$	0.183238			0.00764820
$575$	−7.00761	−	3.94027i	−0.292237	−	0.164321i
$576$	−32.8065			−1.36694
$577$	−10.1593	−	13.9831i	−0.422938	−	0.582124i	0.543376	−	0.839489i	$-0.317146\pi$
$577$	−10.1593	−	13.9831i	−0.422938	−	0.582124i	−0.966314	+	0.257365i	$0.917146\pi$
$578$	−0.00729728	−	0.00237103i	−0.000303527	−	9.86218e-5i
$579$	2.41360	−	7.42831i	0.100306	−	0.308710i
$580$	8.03650	+	3.52346i	0.333697	+	0.146304i
$581$	2.76916	+	8.52260i	0.114884	+	0.353577i
$582$		−	0.0712454i		−	0.00295322i
$583$	−6.85473	+	2.22724i	−0.283894	+	0.0922427i
$584$	−1.04078	−	0.756169i	−0.0430676	−	0.0312905i
$585$	−29.0231	+	16.9773i	−1.19996	+	0.701924i
$586$	−0.714315	+	0.518980i	−0.0295081	+	0.0214389i
$587$	−23.5314	+	32.3882i	−0.971246	+	1.33681i	−0.0298313	+	0.999555i	$0.509497\pi$
$587$	−23.5314	+	32.3882i	−0.971246	+	1.33681i	−0.941415	+	0.337251i	$0.890503\pi$
$588$	20.0820	−	27.6405i	0.828167	−	1.13987i
$589$	−8.32081	+	6.04542i	−0.342853	+	0.249097i
$590$	0.136229	+	0.623455i	0.00560848	+	0.0256672i
$591$	46.0770	+	33.4769i	1.89535	+	1.37706i
$592$	24.1644	−	7.85148i	0.993150	−	0.322694i
$593$			19.1090i			0.784713i	0.919813	+	0.392357i	$0.128340\pi$
$593$			19.1090i			0.784713i	−0.919813	+	0.392357i	$0.871660\pi$
$594$	−0.0462313	−	0.142285i	−0.00189689	−	0.00583804i
$595$	−3.54964	−	6.06820i	−0.145521	−	0.248772i
$596$	3.43498	−	10.5718i	0.140702	−	0.433037i
$597$	−26.5150	−	8.61526i	−1.08519	−	0.352599i
$598$	0.0954022	+	0.131310i	0.00390129	+	0.00536966i
$599$	47.2661			1.93124			0.965619	−	0.259960i	$-0.0837093\pi$
$599$	47.2661			1.93124			0.965619	+	0.259960i	$0.0837093\pi$
$600$	1.33712	−	0.613639i	0.0545877	−	0.0250517i
$601$	41.5044			1.69300			0.846499	−	0.532390i	$-0.178706\pi$
$601$	41.5044			1.69300			0.846499	+	0.532390i	$0.178706\pi$
$602$	−0.0794275	−	0.109323i	−0.00323722	−	0.00445566i
$603$	−3.30884	−	1.07511i	−0.134746	−	0.0437817i
$604$	−8.49250	+	26.1372i	−0.345555	+	1.06351i
$605$	−1.69025	+	17.0117i	−0.0687184	+	0.691622i
$606$	−0.129121	−	0.397393i	−0.00524517	−	0.0161430i
$607$		−	11.3056i		−	0.458878i	−0.973323	−	0.229439i	$-0.926311\pi$
$607$		−	11.3056i		−	0.458878i	0.973323	−	0.229439i	$-0.0736892\pi$
$608$	−0.314740	+	0.102265i	−0.0127644	+	0.00414740i
$609$	−3.25560	−	2.36533i	−0.131924	−	0.0958481i
$610$	0.502959	+	0.0499731i	0.0203642	+	0.00202335i
$611$	−21.7435	+	15.7976i	−0.879648	+	0.639102i
$612$	−19.7510	+	27.1849i	−0.798388	+	1.09889i
$613$	−22.4734	+	30.9319i	−0.907690	+	1.24933i	0.0602591	+	0.998183i	$0.480807\pi$
$613$	−22.4734	+	30.9319i	−0.907690	+	1.24933i	−0.967949	+	0.251146i	$0.919193\pi$
$614$	−0.367800	+	0.267223i	−0.0148432	+	0.0107842i
$615$	−38.4684	−	34.2430i	−1.55120	−	1.38081i
$616$	−0.125714	−	0.0913364i	−0.00506515	−	0.00368005i
$617$	−13.3065	+	4.32355i	−0.535700	+	0.174059i	−0.564358	−	0.825530i	$-0.690876\pi$
$617$	−13.3065	+	4.32355i	−0.535700	+	0.174059i	0.0286587	+	0.999589i	$0.490876\pi$
$618$			0.716064i			0.0288043i
$619$	−9.75730	−	30.0299i	−0.392179	−	1.20700i	−0.931137	−	0.364670i	$-0.881182\pi$
$619$	−9.75730	−	30.0299i	−0.392179	−	1.20700i	0.538958	−	0.842333i	$-0.318818\pi$
$620$	−44.9190	+	9.81512i	−1.80399	+	0.394185i
$621$	1.47089	−	4.52693i	0.0590247	−	0.181659i
$622$	−0.0945366	−	0.0307168i	−0.00379057	−	0.00123163i
$623$	−1.15689	−	1.59232i	−0.0463497	−	0.0637949i
$624$	38.9767			1.56032
$625$	16.3014	−	18.9543i	0.652055	−	0.758171i
$626$	−0.119581			−0.00477944
$627$	2.87069	+	3.95117i	0.114644	+	0.157794i
$628$	−17.4397	−	5.66651i	−0.695921	−	0.226119i
$629$	8.03583	−	24.7317i	0.320410	−	0.986119i
$630$	−0.190477	+	0.0416205i	−0.00758877	+	0.00165820i
$631$	−10.4515	−	32.1664i	−0.416067	−	1.28052i	−0.911293	−	0.411759i	$-0.864915\pi$
$631$	−10.4515	−	32.1664i	−0.416067	−	1.28052i	0.495226	−	0.868764i	$-0.335085\pi$
$632$		−	0.646861i		−	0.0257308i
$633$	−32.9079	+	10.6924i	−1.30797	+	0.424986i
$634$	−0.344794	−	0.250507i	−0.0136935	−	0.00994892i
$635$	−27.3366	−	24.3339i	−1.08482	−	0.965662i
$636$	16.9715	−	12.3305i	0.672964	−	0.488937i
$637$	−13.7817	+	18.9688i	−0.546049	+	0.751572i
$638$	0.0583077	−	0.0802537i	0.00230842	−	0.00317727i
$639$	−24.7817	+	18.0049i	−0.980348	+	0.712265i
$640$	−1.96279	−	0.195019i	−0.0775860	−	0.00770881i
$641$	−39.0307	−	28.3574i	−1.54162	−	1.12005i	−0.949310	−	0.314341i	$-0.898217\pi$
$641$	−39.0307	−	28.3574i	−1.54162	−	1.12005i	−0.592309	−	0.805711i	$-0.701783\pi$
$642$	−1.24378	+	0.404128i	−0.0490880	+	0.0159496i
$643$		−	3.60506i		−	0.142170i	−0.997470	−	0.0710849i	$-0.977354\pi$
$643$		−	3.60506i		−	0.142170i	0.997470	−	0.0710849i	$-0.0226461\pi$
$644$	−0.763727	−	2.35051i	−0.0300951	−	0.0926231i
$645$	−3.75515	+	37.7941i	−0.147859	+	1.48814i
$646$	−0.0348666	+	0.107308i	−0.00137181	+	0.00422200i
$647$	36.6792	+	11.9178i	1.44201	+	0.468537i	0.922523	−	0.385941i	$-0.126123\pi$
$647$	36.6792	+	11.9178i	1.44201	+	0.468537i	0.519487	+	0.854479i	$0.326123\pi$
$648$	−0.287777	−	0.396091i	−0.0113049	−	0.0155599i
$649$	−18.9448			−0.743648
$650$	−0.458725	+	0.210521i	−0.0179927	+	0.00825731i
$651$	21.0856			0.826409
$652$	−1.25511	−	1.72751i	−0.0491537	−	0.0676543i
$653$	−4.12208	−	1.33934i	−0.161309	−	0.0524126i	0.227249	−	0.973837i	$-0.427027\pi$
$653$	−4.12208	−	1.33934i	−0.161309	−	0.0524126i	−0.388558	+	0.921424i	$0.627027\pi$
$654$	0.0507949	−	0.156331i	0.00198624	−	0.00611301i
$655$	11.3195	+	19.3510i	0.442289	+	0.756105i
$656$	10.6645	+	32.8219i	0.416378	+	1.28148i
$657$		−	47.9183i		−	1.86947i
$658$	−0.148217	+	0.0481588i	−0.00577812	+	0.00187742i
$659$	−17.0424	−	12.3820i	−0.663877	−	0.482335i	0.204093	−	0.978952i	$-0.434576\pi$
$659$	−17.0424	−	12.3820i	−0.663877	−	0.482335i	−0.867970	+	0.496616i	$0.834576\pi$
$660$	4.66074	+	21.3299i	0.181419	+	0.830266i
$661$	12.4088	−	9.01553i	0.482647	−	0.350664i	−0.319703	−	0.947518i	$-0.603583\pi$
$661$	12.4088	−	9.01553i	0.482647	−	0.350664i	0.802350	+	0.596854i	$0.203583\pi$
$662$	0.292388	−	0.402437i	0.0113640	−	0.0156412i
$663$	23.4478	−	32.2732i	0.910639	−	1.25339i
$664$	1.04052	−	0.755979i	0.0403799	−	0.0293377i
$665$	1.48394	−	0.868043i	0.0575448	−	0.0336613i
$666$	−0.583460	−	0.423908i	−0.0226086	−	0.0164261i
$667$	3.00163	−	0.975288i	0.116223	−	0.0377633i
$668$		−	4.22577i		−	0.163500i
$669$	20.2127	+	62.2083i	0.781468	+	2.40511i
$670$	−0.0478296	−	0.0209700i	−0.00184782	−	0.000810143i
$671$	−4.63665	+	14.2702i	−0.178996	+	0.550893i
$672$	0.645252	+	0.209655i	0.0248911	+	0.00808762i
$673$	14.4454	+	19.8824i	0.556830	+	0.766411i	0.990919	−	0.134459i	$-0.0429297\pi$
$673$	14.4454	+	19.8824i	0.556830	+	0.766411i	−0.434089	+	0.900870i	$0.642930\pi$
$674$	0.496612			0.0191288
$675$	12.9020	+	7.25460i	0.496599	+	0.279230i
$676$	−0.768612			−0.0295620
$677$	12.7808	+	17.5912i	0.491205	+	0.676086i	0.980610	−	0.195971i	$-0.0627858\pi$
$677$	12.7808	+	17.5912i	0.491205	+	0.676086i	−0.489405	+	0.872057i	$0.662786\pi$
$678$	0.0960046	+	0.0311938i	0.00368704	+	0.00119799i
$679$	0.230065	−	0.708066i	0.00882907	−	0.0271731i
$680$	−0.670876	+	0.753658i	−0.0257269	+	0.0289015i
$681$	10.5936	+	32.6038i	0.405948	+	1.24938i
$682$			0.519780i			0.0199034i
$683$	3.08704	−	1.00304i	0.118122	−	0.0383802i	−0.249359	−	0.968411i	$-0.580220\pi$
$683$	3.08704	−	1.00304i	0.118122	−	0.0383802i	0.367482	+	0.930031i	$0.380220\pi$
$684$	−6.64791	−	4.82999i	−0.254189	−	0.184679i
$685$	13.5610	−	30.9306i	0.518138	−	1.18180i
$686$	−0.230129	+	0.167199i	−0.00878637	+	0.00638367i
$687$	41.9263	−	57.7067i	1.59959	−	2.20165i
$688$	14.9594	−	20.5898i	0.570321	−	0.784979i
$689$	−11.6470	+	8.46206i	−0.443717	+	0.322379i
$690$	0.106216	−	0.242263i	0.00404356	−	0.00922278i
$691$	29.3663	+	21.3359i	1.11715	+	0.811655i	0.983774	−	0.179411i	$-0.0574190\pi$
$691$	29.3663	+	21.3359i	1.11715	+	0.811655i	0.133373	+	0.991066i	$0.457419\pi$
$692$	−4.65790	+	1.51344i	−0.177067	+	0.0575325i
$693$		−	5.78797i		−	0.219867i
$694$	0.0146194	+	0.0449939i	0.000554944	+	0.00170794i
$695$	−21.2671	+	23.8914i	−0.806709	+	0.906252i
$696$	−0.178477	+	0.549294i	−0.00676514	+	0.0208209i
$697$	33.5926	+	10.9149i	1.27241	+	0.413431i
$698$	−0.0373068	−	0.0513485i	−0.00141208	−	0.00194357i
$699$	−17.2716			−0.653270
$700$	7.63375	−	0.890227i	0.288529	−	0.0336474i
$701$	23.2289			0.877342			0.438671	−	0.898648i	$-0.355449\pi$
$701$	23.2289			0.877342			0.438671	+	0.898648i	$0.355449\pi$
$702$	−0.175649	−	0.241760i	−0.00662945	−	0.00912466i
$703$	6.04800	+	1.96511i	0.228105	+	0.0741157i
$704$	4.51759	−	13.9037i	0.170263	−	0.524015i
$705$	40.1161	+	17.5882i	1.51086	+	0.662410i
$706$	−0.184154	−	0.566768i	−0.00693073	−	0.0213306i
$707$		−	4.36641i		−	0.164216i
$708$	52.4415	−	17.0393i	1.97087	−	0.640375i
$709$	−37.4596	−	27.2160i	−1.40683	−	1.02212i	−0.993774	−	0.111412i	$-0.964463\pi$
$709$	−37.4596	−	27.2160i	−1.40683	−	1.02212i	−0.413052	−	0.910707i	$-0.635537\pi$
$710$	−0.396895	+	0.232166i	−0.0148952	+	0.00871305i
$711$	19.4926	−	14.1622i	0.731030	−	0.531124i
$712$	−0.166041	+	0.228536i	−0.00622266	+	0.00856476i
$713$	−9.72034	+	13.3789i	−0.364029	+	0.501044i
$714$	0.187138	−	0.135964i	0.00700348	−	0.00508832i
$715$	−3.19853	−	14.6381i	−0.119618	−	0.547433i
$716$	23.6221	+	17.1625i	0.882801	+	0.641392i
$717$	70.2857	−	22.8372i	2.62487	−	0.852871i
$718$		−	0.0934467i		−	0.00348740i
$719$	5.46378	+	16.8158i	0.203765	+	0.627123i	0.999762	+	0.0218227i	$0.00694694\pi$
$719$	5.46378	+	16.8158i	0.203765	+	0.627123i	−0.795997	+	0.605300i	$0.793053\pi$
$720$	−18.5409	−	31.6962i	−0.690980	−	1.18125i
$721$	−2.31230	+	7.11654i	−0.0861147	+	0.265034i
$722$	−0.0262416	−	0.00852643i	−0.000976613	−	0.000317321i
$723$	10.6136	+	14.6084i	0.394724	+	0.543291i
$724$	−46.7103			−1.73598
$725$	1.13683	+	9.74838i	0.0422208	+	0.362046i
$726$	−0.562497			−0.0208762
$727$	10.3975	+	14.3110i	0.385623	+	0.530764i	0.957063	−	0.289879i	$-0.0936151\pi$
$727$	10.3975	+	14.3110i	0.385623	+	0.530764i	−0.571440	+	0.820644i	$0.693615\pi$
$728$	−0.295192	−	0.0959138i	−0.0109406	−	0.00355480i
$729$	12.9533	−	39.8660i	0.479750	−	1.47652i
$730$	0.0711178	−	0.715772i	0.00263219	−	0.0264919i
$731$	−8.04927	−	24.7731i	−0.297713	−	0.916266i
$732$		−	43.6718i		−	1.61416i
$733$	26.5444	−	8.62480i	0.980440	−	0.318564i	0.225417	−	0.974262i	$-0.427626\pi$
$733$	26.5444	−	8.62480i	0.980440	−	0.318564i	0.755023	+	0.655698i	$0.227626\pi$
$734$	0.368708	+	0.267882i	0.0136092	+	0.00988770i
$735$	38.0255	+	3.77815i	1.40259	+	0.139359i
$736$	−0.430485	+	0.312765i	−0.0158679	+	0.0115287i
$737$	0.911279	−	1.25427i	0.0335674	−	0.0462015i
$738$	0.575785	−	0.792500i	0.0211949	−	0.0291723i
$739$	39.2790	−	28.5379i	1.44490	−	1.04978i	0.457914	−	0.888997i	$-0.348597\pi$
$739$	39.2790	−	28.5379i	1.44490	−	1.04978i	0.986989	−	0.160787i	$-0.0514032\pi$
$740$	21.2344	+	18.9020i	0.780591	+	0.694851i
$741$	7.89221	+	5.73403i	0.289928	+	0.210645i
$742$	−0.0793935	+	0.0257965i	−0.00291463	+	0.000947020i
$743$		−	48.1309i		−	1.76575i	−0.469608	−	0.882875i	$-0.655605\pi$
$743$		−	48.1309i		−	1.76575i	0.469608	−	0.882875i	$-0.344395\pi$
$744$	−0.935176	−	2.87818i	−0.0342852	−	0.105519i
$745$	12.1460	−	2.65400i	0.444996	−	0.0972349i
$746$	−0.167438	+	0.515322i	−0.00613035	+	0.0188673i
$747$	45.5616	+	14.8038i	1.66701	+	0.541644i
$748$	−8.80143	−	12.1141i	−0.321812	−	0.442936i
$749$	−13.6662			−0.499351
$750$	0.673636	+	0.472080i	0.0245977	+	0.0172379i
$751$	−38.8156			−1.41640			−0.708201	−	0.706011i	$-0.750493\pi$
$751$	−38.8156			−1.41640			−0.708201	+	0.706011i	$0.750493\pi$
$752$	−17.2526	−	23.7461i	−0.629137	−	0.865933i
$753$	34.7393	+	11.2875i	1.26597	+	0.411339i
$754$	0.0612298	−	0.188446i	0.00222986	−	0.00686280i
$755$	−30.0293	+	6.56162i	−1.09288	+	0.238802i
$756$	1.40613	+	4.32763i	0.0511405	+	0.157394i
$757$		−	10.3863i		−	0.377498i	−0.982025	−	0.188749i	$-0.939557\pi$
$757$		−	10.3863i		−	0.377498i	0.982025	−	0.188749i	$-0.0604432\pi$
$758$	−0.309542	+	0.100576i	−0.0112431	+	0.00365310i
$759$	6.35302	+	4.61574i	0.230600	+	0.167541i
$760$	−0.184303	−	0.164059i	−0.00668536	−	0.00595104i
$761$	5.19174	−	3.77202i	0.188201	−	0.136736i	−0.489695	−	0.871894i	$-0.662892\pi$
$761$	5.19174	−	3.77202i	0.188201	−	0.136736i	0.677896	+	0.735158i	$0.262892\pi$
$762$	0.707814	−	0.974222i	0.0256414	−	0.0352924i
$763$	1.00964	−	1.38965i	0.0365515	−	0.0503088i
$764$	7.11948	−	5.17260i	0.257574	−	0.187138i
$765$	−37.3988	−	3.71588i	−1.35216	−	0.134348i
$766$	−0.265474	−	0.192878i	−0.00959195	−	0.00696896i
$767$	−35.9890	+	11.6935i	−1.29949	+	0.422229i
$768$			42.5016i			1.53365i
$769$	8.63168	+	26.5656i	0.311266	+	0.957979i	0.977264	+	0.212025i	$0.0680059\pi$
$769$	8.63168	+	26.5656i	0.311266	+	0.957979i	−0.665998	+	0.745954i	$0.731994\pi$
$770$	0.00859021	−	0.0864569i	0.000309570	−	0.00311569i
$771$	4.76522	−	14.6658i	0.171615	−	0.528177i
$772$	−5.56946	−	1.80963i	−0.200449	−	0.0651300i
$773$	5.76487	+	7.93466i	0.207348	+	0.285390i	0.900007	−	0.435875i	$-0.143561\pi$
$773$	5.76487	+	7.93466i	0.207348	+	0.285390i	−0.692659	+	0.721265i	$0.743561\pi$
$774$	−0.722402			−0.0259662
$775$	−34.8427	−	37.8227i	−1.25159	−	1.35863i
$776$	−0.106855			−0.00383585
$777$	−7.66305	−	10.5473i	−0.274910	−	0.378382i
$778$	−0.335642	−	0.109057i	−0.0120334	−	0.00390987i
$779$	−2.66917	+	8.21486i	−0.0956330	+	0.294328i
$780$	22.0197	+	37.6432i	0.788430	+	1.34784i
$781$	−4.21812	−	12.9820i	−0.150936	−	0.464534i
$782$			0.181419i			0.00648752i
$783$	−5.52643	+	1.79565i	−0.197499	+	0.0641712i
$784$	−20.7159	−	15.0510i	−0.739854	−	0.537535i
$785$	−4.37816	−	20.0367i	−0.156263	−	0.715140i
$786$	−0.596768	+	0.433578i	−0.0212860	+	0.0154652i
$787$	11.6304	−	16.0079i	0.414580	−	0.570621i	−0.549748	−	0.835331i	$-0.685276\pi$
$787$	11.6304	−	16.0079i	0.414580	−	0.570621i	0.964328	+	0.264710i	$0.0852763\pi$
$788$	25.0997	−	34.5468i	0.894140	−	1.23068i
$789$	48.3034	−	35.0945i	1.71965	−	1.24940i
$790$	0.312187	−	0.182616i	0.0111071	−	0.00649718i
$791$	0.853403	+	0.620034i	0.0303435	+	0.0220459i
$792$	−0.790056	+	0.256705i	−0.0280734	+	0.00912161i
$793$			29.9706i			1.06429i
$794$	−0.331355	−	1.01981i	−0.0117594	−	0.0361916i
$795$	21.4884	+	9.42121i	0.762116	+	0.334136i
$796$	−6.45940	+	19.8800i	−0.228947	+	0.704627i
$797$	−33.7096	−	10.9529i	−1.19405	−	0.387972i	−0.356484	−	0.934301i	$-0.616025\pi$
$797$	−33.7096	−	10.9529i	−1.19405	−	0.387972i	−0.837570	+	0.546330i	$0.816025\pi$
$798$	0.0332492	+	0.0457636i	0.00117701	+	0.00162001i
$799$	−30.0410			−1.06278
$800$	−0.690169	−	1.50388i	−0.0244012	−	0.0531701i
$801$	−10.5220			−0.371777
$802$	−0.134811	−	0.185552i	−0.00476036	−	0.00655207i
$803$	20.3082	+	6.59853i	0.716660	+	0.232857i
$804$	−1.39442	+	4.29159i	−0.0491774	+	0.151353i
$805$	1.83793	−	2.06472i	0.0647785	−	0.0727717i
$806$	0.320830	+	0.987414i	0.0113008	+	0.0347802i
$807$			70.7805i			2.49159i
$808$	−0.596014	+	0.193657i	−0.0209677	+	0.00681282i
$809$	−34.6220	−	25.1544i	−1.21725	−	0.884380i	−0.221377	−	0.975188i	$-0.571055\pi$
$809$	−34.6220	−	25.1544i	−1.21725	−	0.884380i	−0.995868	+	0.0908081i	$0.971055\pi$
$810$	0.109918	−	0.250707i	0.00386212	−	0.00880893i
$811$	−21.2566	+	15.4439i	−0.746422	+	0.542307i	−0.894716	−	0.446636i	$-0.852622\pi$
$811$	−21.2566	+	15.4439i	−0.746422	+	0.542307i	0.148294	+	0.988943i	$0.452622\pi$
$812$	−1.77344	+	2.44093i	−0.0622354	+	0.0856597i
$813$	−19.8080	+	27.2634i	−0.694697	+	0.956168i
$814$	0.260001	−	0.188902i	0.00911302	−	0.00662100i
$815$	0.958972	−	2.18728i	0.0335913	−	0.0766169i
$816$	35.2456	+	25.6075i	1.23384	+	0.896440i
$817$	6.05811	−	1.96840i	0.211947	−	0.0688656i
$818$			0.521072i			0.0182189i
$819$	−3.57258	−	10.9953i	−0.124836	−	0.384206i
$820$	−25.6741	+	28.8422i	−0.896580	+	1.00721i
$821$	5.64590	−	17.3763i	0.197043	−	0.606436i	−0.802904	−	0.596109i	$-0.796713\pi$
$821$	5.64590	−	17.3763i	0.197043	−	0.606436i	0.999947	−	0.0103274i	$-0.00328738\pi$
$822$	1.05685	+	0.343392i	0.0368619	+	0.0119772i
$823$	14.3202	+	19.7100i	0.499170	+	0.687048i	0.982046	−	0.188640i	$-0.0604079\pi$
$823$	14.3202	+	19.7100i	0.499170	+	0.687048i	−0.482876	+	0.875689i	$0.660408\pi$
$824$	1.07396			0.0374132
$825$	−17.9603	+	16.5452i	−0.625296	+	0.576030i
$826$	−0.219424			−0.00763474
$827$	8.48446	+	11.6779i	0.295034	+	0.406079i	0.930641	−	0.365933i	$-0.119250\pi$
$827$	8.48446	+	11.6779i	0.295034	+	0.406079i	−0.635607	+	0.772013i	$0.719250\pi$
$828$	−12.5658	−	4.08286i	−0.436690	−	0.141889i
$829$	4.75867	−	14.6457i	0.165276	−	0.508666i	−0.833781	−	0.552095i	$-0.813828\pi$
$829$	4.75867	−	14.6457i	0.165276	−	0.508666i	0.999056	+	0.0434296i	$0.0138284\pi$
$830$	0.658598	+	0.288750i	0.0228603	+	0.0100227i
$831$	−6.66654	−	20.5175i	−0.231260	−	0.711744i
$832$		−	29.2010i		−	1.01236i
$833$	−24.9248	+	8.09856i	−0.863593	+	0.280598i
$834$	−0.851442	−	0.618609i	−0.0294830	−	0.0214207i
$835$	4.07964	−	2.38641i	0.141182	−	0.0825852i
$836$	2.96244	−	2.15234i	0.102458	−	0.0744401i
$837$	17.8965	−	24.6325i	0.618595	−	0.851423i
$838$	−0.359817	+	0.495246i	−0.0124297	+	0.0171080i
$839$	0.724640	−	0.526482i	0.0250173	−	0.0181762i	−0.575206	−	0.818008i	$-0.695078\pi$
$839$	0.724640	−	0.526482i	0.0250173	−	0.0181762i	0.600224	+	0.799832i	$0.295078\pi$
$840$	0.107985	+	0.494193i	0.00372583	+	0.0170513i
$841$	20.3444	+	14.7811i	0.701531	+	0.509692i
$842$	0.737432	−	0.239606i	0.0254136	−	0.00825737i
$843$		−	54.5930i		−	1.88028i
$844$	8.01678	+	24.6731i	0.275949	+	0.849283i
$845$	−0.434057	−	0.742033i	−0.0149320	−	0.0255267i
$846$	−0.257455	+	0.792366i	−0.00885149	+	0.0272421i
$847$	−5.59033	−	1.81641i	−0.192086	−	0.0624125i
$848$	−9.24144	−	12.7198i	−0.317352	−	0.436798i
$849$	−21.4893			−0.737511
$850$	−0.553124	−	0.111011i	−0.0189720	−	0.00380764i
$851$	10.2249			0.350506
$852$	23.3525	+	32.1420i	0.800045	+	1.10117i
$853$	6.95923	+	2.26119i	0.238280	+	0.0774217i	0.425723	−	0.904854i	$-0.360020\pi$
$853$	6.95923	+	2.26119i	0.238280	+	0.0774217i	−0.187443	+	0.982275i	$0.560020\pi$
$854$	−0.0537031	+	0.165281i	−0.00183768	+	0.00565580i
$855$	0.908697	−	9.14566i	0.0310768	−	0.312775i
$856$	0.606115	+	1.86543i	0.0207166	+	0.0637591i
$857$		−	16.9119i		−	0.577698i	−0.957375	−	0.288849i	$-0.906727\pi$
$857$		−	16.9119i		−	0.577698i	0.957375	−	0.288849i	$-0.0932726\pi$
$858$	0.468877	−	0.152347i	0.0160072	−	0.00520105i
$859$	−8.99873	−	6.53796i	−0.307033	−	0.223072i	0.423589	−	0.905854i	$-0.360770\pi$
$859$	−8.99873	−	6.53796i	−0.307033	−	0.223072i	−0.730622	+	0.682782i	$0.760770\pi$
$860$	28.3366	+	2.81547i	0.966269	+	0.0960068i
$861$	14.3261	−	10.4085i	0.488233	−	0.354722i
$862$	0.139793	−	0.192409i	0.00476138	−	0.00655348i
$863$	14.0774	−	19.3758i	0.479199	−	0.659560i	−0.499152	−	0.866514i	$-0.666355\pi$
$863$	14.0774	−	19.3758i	0.479199	−	0.659560i	0.978351	+	0.206954i	$0.0663550\pi$
$864$	0.792585	−	0.575846i	0.0269643	−	0.0195907i
$865$	−4.09156	−	3.64214i	−0.139117	−	0.123836i
$866$	−0.474295	−	0.344595i	−0.0161172	−	0.0117098i
$867$	−0.705208	+	0.229136i	−0.0239501	+	0.00778186i
$868$		−	15.8092i		−	0.536598i
$869$	3.31786	+	10.2113i	0.112551	+	0.346396i
$870$	−0.315485	+	0.0689357i	−0.0106959	+	0.00233714i
$871$	0.956948	−	2.94518i	0.0324250	−	0.0997938i
$872$	−0.234466	−	0.0761827i	−0.00794003	−	0.00257987i
$873$	−2.33944	−	3.21997i	−0.0791782	−	0.108979i
$874$	−0.0443649			−0.00150066
$875$	5.17044	+	6.86703i	0.174793	+	0.232148i
$876$	−62.1503			−2.09987
$877$	28.8512	+	39.7103i	0.974237	+	1.34092i	0.939877	+	0.341512i	$0.110939\pi$
$877$	28.8512	+	39.7103i	0.974237	+	1.34092i	0.0343593	+	0.999410i	$0.489061\pi$
$878$	0.479337	+	0.155746i	0.0161768	+	0.00525617i
$879$	−26.3676	+	81.1512i	−0.889357	+	2.73716i
$880$	15.9863	−	3.49312i	0.538898	−	0.117753i
$881$	15.3524	+	47.2498i	0.517235	+	1.59189i	0.779178	+	0.626803i	$0.215637\pi$
$881$	15.3524	+	47.2498i	0.517235	+	1.59189i	−0.261943	+	0.965083i	$0.584363\pi$
$882$			0.726825i			0.0244735i
$883$	−37.5350	+	12.1959i	−1.26315	+	0.410424i	−0.862617	−	0.505857i	$-0.831176\pi$
$883$	−37.5350	+	12.1959i	−1.26315	+	0.410424i	−0.400537	+	0.916281i	$0.631176\pi$
$884$	−24.1972	−	17.5803i	−0.813841	−	0.591290i
$885$	46.0653	+	41.0054i	1.54847	+	1.37838i
$886$	−0.283715	+	0.206131i	−0.00953161	+	0.00692512i
$887$	−11.9798	+	16.4888i	−0.402243	+	0.553640i	−0.961305	−	0.275486i	$-0.911161\pi$
$887$	−11.9798	+	16.4888i	−0.402243	+	0.553640i	0.559062	+	0.829126i	$0.311161\pi$
$888$	−1.09983	+	1.51379i	−0.0369080	+	0.0507995i
$889$	10.1805	−	7.39657i	0.341443	−	0.248073i
$890$	−0.157171	−	0.0156162i	−0.00526838	−	0.000523457i
$891$	6.57445	+	4.77662i	0.220252	+	0.160023i
$892$	46.6415	−	15.1547i	1.56167	−	0.507418i
$893$		−	7.34635i		−	0.245836i
$894$	0.126411	+	0.389053i	0.00422782	+	0.0130119i
$895$	−3.22889	+	32.4974i	−0.107930	+	1.08627i
$896$	0.209575	−	0.645007i	0.00700142	−	0.0215482i
$897$	14.9177	+	4.84706i	0.498088	+	0.161839i
$898$	−0.444078	−	0.611221i	−0.0148191	−	0.0203967i
$899$	20.1885			0.673324
$900$	20.1372	−	35.8132i	0.671240	−	1.19377i
$901$	−16.0916			−0.536090
$902$	0.256581	+	0.353153i	0.00854321	+	0.0117587i
$903$	−12.4198	−	4.03544i	−0.413305	−	0.134291i
$904$	0.0467848	−	0.143989i	0.00155604	−	0.00478899i
$905$	−26.3787	−	45.0950i	−0.876857	−	1.49901i
$906$	−0.312533	−	0.961879i	−0.0103832	−	0.0319563i
$907$			48.4135i			1.60754i	0.594938	+	0.803772i	$0.297177\pi$
$907$			48.4135i			1.60754i	−0.594938	+	0.803772i	$0.702823\pi$
$908$	24.4451	−	7.94269i	0.811239	−	0.263587i
$909$	−18.8846	−	13.7205i	−0.626364	−	0.455080i
$910$	−0.0370463	−	0.169543i	−0.00122807	−	0.00562028i
$911$	−42.9341	+	31.1934i	−1.42247	+	1.03348i	−0.431112	+	0.902299i	$0.641878\pi$
$911$	−42.9341	+	31.1934i	−1.42247	+	1.03348i	−0.991358	+	0.131186i	$0.958122\pi$
$912$	−6.26215	+	8.61911i	−0.207360	+	0.285407i
$913$	−12.5480	+	17.2708i	−0.415278	+	0.571582i
$914$	0.695771	−	0.505507i	0.0230141	−	0.0167207i
$915$	42.1616	−	24.6627i	1.39382	−	0.815325i
$916$	−43.2663	−	31.4348i	−1.42956	−	1.03863i
$917$	−7.33104	+	2.38200i	−0.242092	+	0.0786605i
$918$		−	0.334018i		−	0.0110242i
$919$	2.71422	+	8.35353i	0.0895340	+	0.275557i	0.985791	−	0.167978i	$-0.0537239\pi$
$919$	2.71422	+	8.35353i	0.0895340	+	0.275557i	−0.896257	+	0.443536i	$0.853724\pi$
$920$	−0.363348	−	0.159303i	−0.0119792	−	0.00525208i
$921$	−13.5767	+	41.7847i	−0.447366	+	1.37685i
$922$	0.827893	+	0.268999i	0.0272652	+	0.00885900i
$923$	−16.0261	−	22.0581i	−0.527507	−	0.726051i
$924$	−7.50704			−0.246964
$925$	−6.25667	+	31.1746i	−0.205718	+	1.02501i
$926$	0.307117			0.0100925
$927$	23.5130	+	32.3628i	0.772268	+	1.06294i
$928$	0.617800	+	0.200735i	0.0202803	+	0.00658946i
$929$	−4.27525	+	13.1579i	−0.140266	+	0.431695i	−0.996372	−	0.0851055i	$-0.972877\pi$
$929$	−4.27525	+	13.1579i	−0.140266	+	0.431695i	0.856106	+	0.516801i	$0.172877\pi$
$930$	1.12505	−	1.26387i	0.0368918	−	0.0414440i
$931$	−1.98045	−	6.09521i	−0.0649068	−	0.199762i
$932$			12.9496i			0.424177i
$933$	−9.13600	+	2.96847i	−0.299099	+	0.0971832i
$934$	−0.271230	−	0.197060i	−0.00887490	−	0.00644799i
$935$	6.72479	−	15.3383i	0.219924	−	0.501615i
$936$	−1.34240	+	0.975313i	−0.0438778	+	0.0318791i
$937$	23.4811	−	32.3190i	0.767094	−	1.05581i	−0.229496	−	0.973310i	$-0.573708\pi$
$937$	23.4811	−	32.3190i	0.767094	−	1.05581i	0.996591	−	0.0825054i	$-0.0262922\pi$
$938$	0.0105547	−	0.0145273i	0.000344623	−	0.000474333i
$939$	−9.34927	+	6.79264i	−0.305102	+	0.221670i
$940$	13.1870	−	30.0776i	0.430111	−	0.981022i
$941$	−30.0432	−	21.8276i	−0.979379	−	0.711561i	−0.0218096	−	0.999762i	$-0.506943\pi$
$941$	−30.0432	−	21.8276i	−0.979379	−	0.711561i	−0.957570	+	0.288201i	$0.906943\pi$
$942$	0.641802	−	0.208534i	0.0209110	−	0.00679441i
$943$			13.8883i			0.452265i
$944$	−12.7705	−	39.3037i	−0.415646	−	1.27923i
$945$	−3.38389	+	3.80144i	−0.110078	+	0.123661i
$946$	0.0994775	−	0.306160i	0.00323429	−	0.00995413i
$947$	−49.0452	−	15.9357i	−1.59375	−	0.517842i	−0.628202	−	0.778050i	$-0.716209\pi$
$947$	−49.0452	−	15.9357i	−1.59375	−	0.517842i	−0.965553	+	0.260208i	$0.916209\pi$
$948$	−18.3685	−	25.2821i	−0.596581	−	0.821123i
$949$	42.6519			1.38454
$950$	0.0271470	−	0.135263i	0.000880766	−	0.00438852i
$951$	−41.1868			−1.33557
$952$	−0.203920	−	0.280672i	−0.00660909	−	0.00909664i
$953$	−18.3944	−	5.97672i	−0.595854	−	0.193605i	−0.00446373	−	0.999990i	$-0.501421\pi$
$953$	−18.3944	−	5.97672i	−0.595854	−	0.193605i	−0.591391	+	0.806385i	$0.701421\pi$
$954$	−0.137907	+	0.424435i	−0.00446492	+	0.0137416i
$955$	9.01430	+	3.95216i	0.291696	+	0.127889i
$956$	−17.1225	−	52.6976i	−0.553781	−	1.70436i
$957$		−	9.58658i		−	0.309890i
$958$	0.315288	−	0.102443i	0.0101865	−	0.00330980i
$959$	9.39455	+	6.82554i	0.303366	+	0.220408i
$960$	−41.0789	+	24.0294i	−1.32582	+	0.775545i
$961$	−60.5007	+	43.9564i	−1.95164	+	1.41795i
$962$	0.377319	−	0.519336i	0.0121653	−	0.0167441i
$963$	−42.9430	+	59.1060i	−1.38382	+	1.90466i
$964$	10.9528	−	7.95768i	0.352766	−	0.256300i
$965$	−1.39819	−	6.39882i	−0.0450093	−	0.205985i
$966$	0.0735825	+	0.0534608i	0.00236748	+	0.00172007i
$967$	−31.7402	+	10.3130i	−1.02070	+	0.331644i	−0.771106	−	0.636707i	$-0.780296\pi$
$967$	−31.7402	+	10.3130i	−1.02070	+	0.331644i	−0.249591	+	0.968351i	$0.580296\pi$
$968$			0.843639i			0.0271156i
$969$	3.36951	+	10.3703i	0.108244	+	0.333141i
$970$	−0.0301662	−	0.0515699i	−0.000968578	−	0.00165581i
$971$	9.92548	−	30.5475i	0.318524	−	0.980315i	−0.655756	−	0.754973i	$-0.727650\pi$
$971$	9.92548	−	30.5475i	0.318524	−	0.980315i	0.974280	−	0.225342i	$-0.0723501\pi$
$972$	−39.3813	−	12.7958i	−1.26316	−	0.410425i
$973$	−6.46438	−	8.89746i	−0.207239	−	0.285239i
$974$	1.05317			0.0337456
$975$	−23.9063	+	42.5164i	−0.765614	+	1.36161i
$976$	−32.7310			−1.04769
$977$	31.4471	+	43.2832i	1.00608	+	1.38475i	0.921519	+	0.388332i	$0.126949\pi$
$977$	31.4471	+	43.2832i	1.00608	+	1.38475i	0.0845610	+	0.996418i	$0.473051\pi$
$978$	0.0747359	+	0.0242832i	0.00238979	+	0.000776490i
$979$	1.44892	−	4.45932i	0.0463077	−	0.142521i
$980$	2.83271	−	28.5101i	0.0904878	−	0.910722i
$981$	−2.83764	−	8.73336i	−0.0905989	−	0.278835i
$982$		−	0.541594i		−	0.0172830i
$983$	7.44619	−	2.41941i	0.237496	−	0.0771673i	−0.187851	−	0.982198i	$-0.560152\pi$
$983$	7.44619	−	2.41941i	0.237496	−	0.0771673i	0.425347	+	0.905030i	$0.360152\pi$
$984$	−2.05615	−	1.49388i	−0.0655476	−	0.0476231i
$985$	47.5267	+	4.72217i	1.51433	+	0.150461i
$986$	0.179177	−	0.130179i	0.00570614	−	0.00414576i
$987$	−8.85254	+	12.1845i	−0.281779	+	0.387836i
$988$	4.29916	−	5.91729i	0.136775	−	0.188254i
$989$	8.28597	−	6.02011i	0.263478	−	0.191428i
$990$	−0.346932	−	0.308825i	−0.0110262	−	0.00981509i
$991$	26.4719	+	19.2330i	0.840909	+	0.610956i	0.922624	−	0.385699i	$-0.126040\pi$
$991$	26.4719	+	19.2330i	0.840909	+	0.610956i	−0.0817153	+	0.996656i	$0.526040\pi$
$992$	−3.23713	+	1.05181i	−0.102779	+	0.0333949i
$993$		−	48.0725i		−	1.52553i
$994$	−0.0488555	−	0.150362i	−0.00154960	−	0.00476919i
$995$	−22.8403	+	4.99078i	−0.724087	+	0.158218i
$996$	19.2007	−	59.0937i	0.608398	−	1.87246i
$997$	−14.9744	−	4.86548i	−0.474244	−	0.154091i	0.0621360	−	0.998068i	$-0.480209\pi$
$997$	−14.9744	−	4.86548i	−0.474244	−	0.154091i	−0.536380	+	0.843976i	$0.680209\pi$
$998$	0.0763225	+	0.105049i	0.00241594	+	0.00332526i
$999$	−18.8256			−0.595614

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	475.2.n.a.39.10	✓	80
25.9	even	10	inner	475.2.n.a.134.10	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
475.2.n.a.39.10	✓	80	1.1	even	1	trivial
475.2.n.a.134.10	yes	80	25.9	even	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 475 = 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	475.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0162182 + 0.0223225i) q^{2} +(2.53599 + 0.823993i) q^{3} +(0.617799 - 1.90139i) q^{4} +(2.18453 - 0.477335i) q^{5} +(0.0227357 + 0.0699732i) q^{6} +0.768841i q^{7} +(0.104947 - 0.0340992i) q^{8} +(3.32522 + 2.41592i) q^{9} +O(q^{10})\)	\(q+(0.0162182 + 0.0223225i) q^{2} +(2.53599 + 0.823993i) q^{3} +(0.617799 - 1.90139i) q^{4} +(2.18453 - 0.477335i) q^{5} +(0.0227357 + 0.0699732i) q^{6} +0.768841i q^{7} +(0.104947 - 0.0340992i) q^{8} +(3.32522 + 2.41592i) q^{9} +(0.0460844 + 0.0410225i) q^{10} +(-1.48178 + 1.07658i) q^{11} +(3.13346 - 4.31284i) q^{12} +(-2.15040 + 2.95977i) q^{13} +(-0.0171624 + 0.0124692i) q^{14} +(5.93325 + 0.589518i) q^{15} +(-3.23237 - 2.34846i) q^{16} +(-3.88910 + 1.26365i) q^{17} +0.113409i q^{18} +(-0.309017 - 0.951057i) q^{19} +(0.441998 - 4.44853i) q^{20} +(-0.633519 + 1.94977i) q^{21} +(-0.0480638 - 0.0156169i) q^{22} +(-0.945090 - 1.30081i) q^{23} +0.294241 q^{24} +(4.54430 - 2.08550i) q^{25} -0.100945 q^{26} +(1.74005 + 2.39497i) q^{27} +(1.46187 + 0.474989i) q^{28} +(-0.606566 + 1.86682i) q^{29} +(0.0830673 + 0.142006i) q^{30} +(-3.17827 - 9.78170i) q^{31} -0.330937i q^{32} +(-4.64487 + 1.50921i) q^{33} +(-0.0912821 - 0.0663203i) q^{34} +(0.366994 + 1.67955i) q^{35} +(6.64791 - 4.82999i) q^{36} +(-3.73787 + 5.14474i) q^{37} +(0.0162182 - 0.0223225i) q^{38} +(-7.89221 + 5.73403i) q^{39} +(0.212982 - 0.124585i) q^{40} +(-6.98798 - 5.07706i) q^{41} +(-0.0537983 + 0.0174801i) q^{42} +6.36988i q^{43} +(1.13155 + 3.48255i) q^{44} +(8.41723 + 3.69039i) q^{45} +(0.0137095 - 0.0421935i) q^{46} +(6.98680 + 2.27015i) q^{47} +(-6.26215 - 8.61911i) q^{48} +6.40888 q^{49} +(0.120254 + 0.0676170i) q^{50} -10.9040 q^{51} +(4.29916 + 5.91729i) q^{52} +(3.74252 + 1.21602i) q^{53} +(-0.0252412 + 0.0776844i) q^{54} +(-2.72310 + 3.05912i) q^{55} +(0.0262169 + 0.0806872i) q^{56} -2.66650i q^{57} +(-0.0515094 + 0.0167364i) q^{58} +(8.36798 + 6.07970i) q^{59} +(4.78646 - 10.9172i) q^{60} +(6.62755 - 4.81520i) q^{61} +(0.166806 - 0.229589i) q^{62} +(-1.85745 + 2.55657i) q^{63} +(-6.45736 + 4.69155i) q^{64} +(-3.28480 + 7.49215i) q^{65} +(-0.109021 - 0.0792084i) q^{66} +(-0.805030 + 0.261570i) q^{67} +8.17538i q^{68} +(-1.32488 - 4.07757i) q^{69} +(-0.0315398 + 0.0354316i) q^{70} +(-2.30299 + 7.08788i) q^{71} +(0.431352 + 0.140155i) q^{72} +(-6.85262 - 9.43182i) q^{73} -0.175465 q^{74} +(13.2427 - 1.54433i) q^{75} -1.99924 q^{76} +(-0.827717 - 1.13925i) q^{77} +(-0.255995 - 0.0831780i) q^{78} +(1.81147 - 5.57514i) q^{79} +(-8.18220 - 3.58734i) q^{80} +(-1.37106 - 4.21970i) q^{81} -0.238330i q^{82} +(11.0850 - 3.60173i) q^{83} +(3.31589 + 2.40913i) q^{84} +(-7.89266 + 4.61687i) q^{85} +(-0.142191 + 0.103308i) q^{86} +(-3.07649 + 4.23442i) q^{87} +(-0.118798 + 0.163511i) q^{88} +(-2.07106 + 1.50472i) q^{89} +(0.0541341 + 0.247745i) q^{90} +(-2.27559 - 1.65331i) q^{91} +(-3.05721 + 0.993348i) q^{92} -27.4251i q^{93} +(0.0626381 + 0.192780i) q^{94} +(-1.12903 - 1.93010i) q^{95} +(0.272690 - 0.839253i) q^{96} +(-0.920953 - 0.299236i) q^{97} +(0.103941 + 0.143062i) q^{98} -7.52818 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 16 q^{4} - 3 q^{5} + 6 q^{6} + 8 q^{9}+O(q^{10}) \) 80 * q + 16 * q^4 - 3 * q^5 + 6 * q^6 + 8 * q^9	\( 80 q + 16 q^{4} - 3 q^{5} + 6 q^{6} + 8 q^{9} - 36 q^{10} + 20 q^{11} + 45 q^{12} - 10 q^{14} - 20 q^{16} - 15 q^{17} + 20 q^{19} + 12 q^{20} + 16 q^{21} + 15 q^{23} + 72 q^{24} + 41 q^{25} - 84 q^{26} + 15 q^{27} + 30 q^{28} - 24 q^{29} - 40 q^{30} + 8 q^{31} - 75 q^{33} - 24 q^{34} - 33 q^{35} - 32 q^{36} - 15 q^{37} - 30 q^{39} - 28 q^{40} + 13 q^{41} - 130 q^{42} - 24 q^{44} + 6 q^{45} + 30 q^{46} + 145 q^{48} - 28 q^{49} + 77 q^{50} - 36 q^{51} - 5 q^{52} - 10 q^{53} + 15 q^{54} - 8 q^{55} + 48 q^{56} - 60 q^{58} - 19 q^{59} - 110 q^{60} + 8 q^{61} + 110 q^{62} + 55 q^{63} + 16 q^{64} - 43 q^{65} - 17 q^{66} - 65 q^{67} - 42 q^{69} + 4 q^{70} + 18 q^{71} + 100 q^{73} + 22 q^{74} + 115 q^{75} + 64 q^{76} - 145 q^{78} - 16 q^{79} - 97 q^{80} + q^{81} - 70 q^{83} - 46 q^{84} - 16 q^{85} + 64 q^{86} + 10 q^{87} + 30 q^{88} + 4 q^{89} - 8 q^{90} + 16 q^{91} - 135 q^{92} + 38 q^{94} - 2 q^{95} + 50 q^{96} + 150 q^{97} + 130 q^{98} + 178 q^{99}+O(q^{100}) \) 80 * q + 16 * q^4 - 3 * q^5 + 6 * q^6 + 8 * q^9 - 36 * q^10 + 20 * q^11 + 45 * q^12 - 10 * q^14 - 20 * q^16 - 15 * q^17 + 20 * q^19 + 12 * q^20 + 16 * q^21 + 15 * q^23 + 72 * q^24 + 41 * q^25 - 84 * q^26 + 15 * q^27 + 30 * q^28 - 24 * q^29 - 40 * q^30 + 8 * q^31 - 75 * q^33 - 24 * q^34 - 33 * q^35 - 32 * q^36 - 15 * q^37 - 30 * q^39 - 28 * q^40 + 13 * q^41 - 130 * q^42 - 24 * q^44 + 6 * q^45 + 30 * q^46 + 145 * q^48 - 28 * q^49 + 77 * q^50 - 36 * q^51 - 5 * q^52 - 10 * q^53 + 15 * q^54 - 8 * q^55 + 48 * q^56 - 60 * q^58 - 19 * q^59 - 110 * q^60 + 8 * q^61 + 110 * q^62 + 55 * q^63 + 16 * q^64 - 43 * q^65 - 17 * q^66 - 65 * q^67 - 42 * q^69 + 4 * q^70 + 18 * q^71 + 100 * q^73 + 22 * q^74 + 115 * q^75 + 64 * q^76 - 145 * q^78 - 16 * q^79 - 97 * q^80 + q^81 - 70 * q^83 - 46 * q^84 - 16 * q^85 + 64 * q^86 + 10 * q^87 + 30 * q^88 + 4 * q^89 - 8 * q^90 + 16 * q^91 - 135 * q^92 + 38 * q^94 - 2 * q^95 + 50 * q^96 + 150 * q^97 + 130 * q^98 + 178 * q^99

Introduction

L-functions

Modular forms

Varieties

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