LMFDB - Embedded newform 144.2.u.a.11.9

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [144,2,Mod(11,144)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("144.11"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(144, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([6, 3, 2])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 144 = 2^{4} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	144.u (of order $12$, degree $4$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.14984578911$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			11.9
Character	$\chi$	$=$	144.11
Dual form			144.2.u.a.131.9

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.665270 - 1.24796i) q^{2} +(0.117756 + 1.72804i) q^{3} +(-1.11483 + 1.66047i) q^{4} +(-3.58858 - 0.961558i) q^{5} +(2.07820 - 1.29657i) q^{6} +(-1.29216 + 2.23809i) q^{7} +(2.81387 + 0.286608i) q^{8} +(-2.97227 + 0.406975i) q^{9} +(1.18739 + 5.11812i) q^{10} +(-2.02011 + 0.541286i) q^{11} +(-3.00064 - 1.73095i) q^{12} +(-0.998074 - 0.267433i) q^{13} +(3.65269 + 0.123637i) q^{14} +(1.23904 - 6.31446i) q^{15} +(-1.51431 - 3.70228i) q^{16} +4.13788i q^{17} +(2.48525 + 3.43854i) q^{18} +(2.49279 + 2.49279i) q^{19} +(5.59730 - 4.88675i) q^{20} +(-4.01968 - 1.96936i) q^{21} +(2.01942 + 2.16092i) q^{22} +(7.01915 - 4.05251i) q^{23} +(-0.163922 + 4.89624i) q^{24} +(7.62322 + 4.40127i) q^{25} +(0.330242 + 1.42348i) q^{26} +(-1.05327 - 5.08828i) q^{27} +(-2.27574 - 4.64068i) q^{28} +(-7.02439 + 1.88218i) q^{29} +(-8.70451 + 2.65455i) q^{30} +(-2.03331 + 1.17393i) q^{31} +(-3.61289 + 4.35282i) q^{32} +(-1.17324 - 3.42709i) q^{33} +(5.16393 - 2.75281i) q^{34} +(6.78909 - 6.78909i) q^{35} +(2.63781 - 5.38906i) q^{36} +(-4.75590 - 4.75590i) q^{37} +(1.45254 - 4.76930i) q^{38} +(0.344607 - 1.75621i) q^{39} +(-9.82221 - 3.73422i) q^{40} +(0.636217 + 1.10196i) q^{41} +(0.216477 + 6.32657i) q^{42} +(0.389880 + 1.45505i) q^{43} +(1.35329 - 3.95776i) q^{44} +(11.0576 + 1.39754i) q^{45} +(-9.72701 - 6.06363i) q^{46} +(-3.60814 + 6.24948i) q^{47} +(6.21938 - 3.05275i) q^{48} +(0.160635 + 0.278228i) q^{49} +(0.421123 - 12.4415i) q^{50} +(-7.15044 + 0.487260i) q^{51} +(1.55675 - 1.35913i) q^{52} +(0.546616 - 0.546616i) q^{53} +(-5.64928 + 4.69953i) q^{54} +7.76980 q^{55} +(-4.27743 + 5.92735i) q^{56} +(-4.01411 + 4.60119i) q^{57} +(7.02201 + 7.51403i) q^{58} +(-2.14469 + 8.00411i) q^{59} +(9.10364 + 9.09693i) q^{60} +(1.81511 + 6.77407i) q^{61} +(2.81773 + 1.75652i) q^{62} +(2.92980 - 7.17808i) q^{63} +(7.83571 + 1.61296i) q^{64} +(3.32452 + 1.91941i) q^{65} +(-3.49636 + 3.74411i) q^{66} +(0.751980 - 2.80643i) q^{67} +(-6.87082 - 4.61304i) q^{68} +(7.82945 + 11.6522i) q^{69} +(-12.9891 - 3.95596i) q^{70} +6.59449i q^{71} +(-8.48021 + 0.293297i) q^{72} -8.78699i q^{73} +(-2.77123 + 9.09915i) q^{74} +(-6.70790 + 13.6915i) q^{75} +(-6.91824 + 1.36016i) q^{76} +(1.39886 - 5.22061i) q^{77} +(-2.42094 + 0.738296i) q^{78} +(5.64940 + 3.26168i) q^{79} +(1.87426 + 14.7420i) q^{80} +(8.66874 - 2.41928i) q^{81} +(0.951950 - 1.52708i) q^{82} +(2.06791 + 7.71754i) q^{83} +(7.75132 - 4.47904i) q^{84} +(3.97882 - 14.8491i) q^{85} +(1.55648 - 1.45456i) q^{86} +(-4.07965 - 11.9168i) q^{87} +(-5.83945 + 0.944128i) q^{88} -14.1938 q^{89} +(-5.61218 - 14.7292i) q^{90} +(1.88821 - 1.88821i) q^{91} +(-1.09610 + 16.1729i) q^{92} +(-2.26805 - 3.37542i) q^{93} +(10.1995 + 0.345234i) q^{94} +(-6.54863 - 11.3426i) q^{95} +(-7.94730 - 5.73066i) q^{96} +(6.54551 - 11.3372i) q^{97} +(0.240353 - 0.385564i) q^{98} +(5.78401 - 2.43098i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{10} - 6 q^{11} - 16 q^{12} - 2 q^{13} - 6 q^{14} - 2 q^{16} - 10 q^{18} - 8 q^{19} - 48 q^{20} + 2 q^{21} - 2 q^{22} - 12 q^{23} - 16 q^{27}+ \cdots + 46 q^{99}+O(q^{100}) $ 88 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 + 2 * q^6 - 4 * q^7 - 8 * q^10 - 6 * q^11 - 16 * q^12 - 2 * q^13 - 6 * q^14 - 2 * q^16 - 10 * q^18 - 8 * q^19 - 48 * q^20 + 2 * q^21 - 2 * q^22 - 12 * q^23 - 16 * q^27 + 8 * q^28 - 6 * q^29 - 34 * q^30 - 6 * q^32 - 8 * q^33 + 2 * q^34 - 26 * q^36 - 8 * q^37 - 6 * q^38 - 32 * q^39 - 2 * q^40 + 48 * q^42 - 2 * q^43 + 6 * q^45 - 40 * q^46 + 42 * q^48 - 24 * q^49 + 72 * q^50 - 12 * q^51 - 2 * q^52 - 38 * q^54 - 16 * q^55 + 36 * q^56 + 16 * q^58 - 42 * q^59 + 70 * q^60 - 2 * q^61 - 44 * q^64 - 12 * q^65 + 104 * q^66 - 2 * q^67 + 96 * q^68 - 10 * q^69 - 16 * q^70 - 10 * q^72 + 78 * q^74 - 56 * q^75 - 14 * q^76 - 6 * q^77 + 12 * q^78 - 8 * q^81 - 36 * q^82 + 54 * q^83 + 158 * q^84 + 8 * q^85 + 54 * q^86 + 48 * q^87 + 22 * q^88 + 64 * q^90 + 20 * q^91 + 108 * q^92 - 34 * q^93 + 6 * q^94 - 58 * q^96 - 4 * q^97 + 46 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$	$-1$

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 $

$2$	−0.665270	−	1.24796i	−0.470417	−	0.882444i
$2$	−0.665270	−	1.24796i	−0.470417	−	0.882444i
$3$	0.117756	+	1.72804i	0.0679864	+	0.997686i
$3$	0.117756	+	1.72804i	0.0679864	+	0.997686i
$4$	−1.11483	+	1.66047i	−0.557415	+	0.830234i
$5$	−3.58858	−	0.961558i	−1.60486	−	0.430022i	−0.658357	−	0.752706i	$-0.728748\pi$
$5$	−3.58858	−	0.961558i	−1.60486	−	0.430022i	−0.946507	+	0.322684i	$0.895415\pi$
$6$	2.07820	−	1.29657i	0.848420	−	0.529323i
$7$	−1.29216	+	2.23809i	−0.488391	+	0.845919i	−0.999911	−	0.0133531i	$-0.995749\pi$
$7$	−1.29216	+	2.23809i	−0.488391	+	0.845919i	0.511520	+	0.859272i	$0.329083\pi$
$8$	2.81387	+	0.286608i	0.994853	+	0.101331i
$9$	−2.97227	+	0.406975i	−0.990756	+	0.135658i
$10$	1.18739	+	5.11812i	0.375485	+	1.61849i
$11$	−2.02011	+	0.541286i	−0.609085	+	0.163204i	−0.550161	−	0.835059i	$-0.685434\pi$
$11$	−2.02011	+	0.541286i	−0.609085	+	0.163204i	−0.0589240	+	0.998262i	$0.518767\pi$
$12$	−3.00064	−	1.73095i	−0.866210	−	0.499681i
$13$	−0.998074	−	0.267433i	−0.276816	−	0.0741726i	0.117740	−	0.993044i	$-0.462435\pi$
$13$	−0.998074	−	0.267433i	−0.276816	−	0.0741726i	−0.394556	+	0.918872i	$0.629102\pi$
$14$	3.65269	+	0.123637i	0.976224	+	0.0330433i
$15$	1.23904	−	6.31446i	0.319918	−	1.63039i
$16$	−1.51431	−	3.70228i	−0.378577	−	0.925570i
$17$			4.13788i			1.00358i	0.864988	+	0.501792i	$0.167326\pi$
$17$			4.13788i			1.00358i	−0.864988	+	0.501792i	$0.832674\pi$
$18$	2.48525	+	3.43854i	0.585779	+	0.810471i
$19$	2.49279	+	2.49279i	0.571886	+	0.571886i	0.932655	−	0.360769i	$-0.117486\pi$
$19$	2.49279	+	2.49279i	0.571886	+	0.571886i	−0.360769	+	0.932655i	$0.617486\pi$
$20$	5.59730	−	4.88675i	1.25159	−	1.09271i
$21$	−4.01968	−	1.96936i	−0.877165	−	0.429750i
$22$	2.01942	+	2.16092i	0.430542	+	0.460709i
$23$	7.01915	−	4.05251i	1.46359	−	0.845006i	0.464418	−	0.885616i	$-0.346264\pi$
$23$	7.01915	−	4.05251i	1.46359	−	0.845006i	0.999175	+	0.0406102i	$0.0129302\pi$
$24$	−0.163922	+	4.89624i	−0.0334604	+	0.999440i
$25$	7.62322	+	4.40127i	1.52464	+	0.880253i
$26$	0.330242	+	1.42348i	0.0647658	+	0.279167i
$27$	−1.05327	−	5.08828i	−0.202702	−	0.979240i
$28$	−2.27574	−	4.64068i	−0.430074	−	0.877007i
$29$	−7.02439	+	1.88218i	−1.30440	+	0.349512i	−0.843111	−	0.537740i	$-0.819278\pi$
$29$	−7.02439	+	1.88218i	−1.30440	+	0.349512i	−0.461286	+	0.887252i	$0.652612\pi$
$30$	−8.70451	+	2.65455i	−1.58922	+	0.484652i
$31$	−2.03331	+	1.17393i	−0.365194	+	0.210845i	−0.671357	−	0.741134i	$-0.734288\pi$
$31$	−2.03331	+	1.17393i	−0.365194	+	0.210845i	0.306163	+	0.951979i	$0.400955\pi$
$32$	−3.61289	+	4.35282i	−0.638675	+	0.769477i
$33$	−1.17324	−	3.42709i	−0.204236	−	0.596580i
$34$	5.16393	−	2.75281i	0.885607	−	0.472103i
$35$	6.78909	−	6.78909i	1.14757	−	1.14757i
$36$	2.63781	−	5.38906i	0.439634	−	0.898177i
$37$	−4.75590	−	4.75590i	−0.781865	−	0.781865i	0.198280	−	0.980145i	$-0.436464\pi$
$37$	−4.75590	−	4.75590i	−0.781865	−	0.781865i	−0.980145	+	0.198280i	$0.936464\pi$
$38$	1.45254	−	4.76930i	0.235632	−	0.773682i
$39$	0.344607	−	1.75621i	0.0551813	−	0.281218i
$40$	−9.82221	−	3.73422i	−1.55303	−	0.590432i
$41$	0.636217	+	1.10196i	0.0993604	+	0.172097i	0.911420	−	0.411477i	$-0.134987\pi$
$41$	0.636217	+	1.10196i	0.0993604	+	0.172097i	−0.812060	+	0.583574i	$0.801654\pi$
$42$	0.216477	+	6.32657i	0.0334031	+	0.976211i
$43$	0.389880	+	1.45505i	0.0594562	+	0.221894i	0.989261	−	0.146159i	$-0.0466912\pi$
$43$	0.389880	+	1.45505i	0.0594562	+	0.221894i	−0.929805	+	0.368053i	$0.880025\pi$
$44$	1.35329	−	3.95776i	0.204016	−	0.596655i
$45$	11.0576	+	1.39754i	1.64836	+	0.208334i
$46$	−9.72701	−	6.06363i	−1.43417	−	0.894034i
$47$	−3.60814	+	6.24948i	−0.526301	+	0.911580i	0.473230	+	0.880939i	$0.343088\pi$
$47$	−3.60814	+	6.24948i	−0.526301	+	0.911580i	−0.999530	+	0.0306407i	$0.990245\pi$
$48$	6.21938	−	3.05275i	0.897690	−	0.440627i
$49$	0.160635	+	0.278228i	0.0229479	+	0.0397469i
$50$	0.421123	−	12.4415i	0.0595557	−	1.75950i
$51$	−7.15044	+	0.487260i	−1.00126	+	0.0682301i
$52$	1.55675	−	1.35913i	0.215882	−	0.188477i
$53$	0.546616	−	0.546616i	0.0750835	−	0.0750835i	−0.668568	−	0.743651i	$-0.733092\pi$
$53$	0.546616	−	0.546616i	0.0750835	−	0.0750835i	0.743651	+	0.668568i	$0.233092\pi$
$54$	−5.64928	+	4.69953i	−0.768770	+	0.639525i
$55$	7.76980			1.04768
$56$	−4.27743	+	5.92735i	−0.571596	+	0.792075i
$57$	−4.01411	+	4.60119i	−0.531682	+	0.609443i
$58$	7.02201	+	7.51403i	0.922036	+	0.986641i
$59$	−2.14469	+	8.00411i	−0.279215	+	1.04205i	0.673748	+	0.738961i	$0.264683\pi$
$59$	−2.14469	+	8.00411i	−0.279215	+	1.04205i	−0.952963	+	0.303085i	$0.901983\pi$
$60$	9.10364	+	9.09693i	1.17527	+	1.17441i
$61$	1.81511	+	6.77407i	0.232401	+	0.867331i	0.979303	+	0.202398i	$0.0648734\pi$
$61$	1.81511	+	6.77407i	0.232401	+	0.867331i	−0.746903	+	0.664933i	$0.768460\pi$
$62$	2.81773	+	1.75652i	0.357852	+	0.223078i
$63$	2.92980	−	7.17808i	0.369121	−	0.904353i
$64$	7.83571	+	1.61296i	0.979464	+	0.201620i
$65$	3.32452	+	1.91941i	0.412356	+	0.238074i
$66$	−3.49636	+	3.74411i	−0.430372	+	0.460868i
$67$	0.751980	−	2.80643i	0.0918690	−	0.342860i	−0.904657	−	0.426140i	$-0.859873\pi$
$67$	0.751980	−	2.80643i	0.0918690	−	0.342860i	0.996526	+	0.0832804i	$0.0265397\pi$
$68$	−6.87082	−	4.61304i	−0.833209	−	0.559413i
$69$	7.82945	+	11.6522i	0.942555	+	1.40276i
$70$	−12.9891	−	3.95596i	−1.55250	−	0.472828i
$71$			6.59449i			0.782622i	0.920258	+	0.391311i	$0.127978\pi$
$71$			6.59449i			0.782622i	−0.920258	+	0.391311i	$0.872022\pi$
$72$	−8.48021	+	0.293297i	−0.999402	+	0.0345653i
$73$		−	8.78699i		−	1.02844i	−0.857658	−	0.514220i	$-0.828082\pi$
$73$		−	8.78699i		−	1.02844i	0.857658	−	0.514220i	$-0.171918\pi$
$74$	−2.77123	+	9.09915i	−0.322149	+	1.05776i
$75$	−6.70790	+	13.6915i	−0.774562	+	1.58096i
$76$	−6.91824	+	1.36016i	−0.793577	+	0.156021i
$77$	1.39886	−	5.22061i	0.159415	−	0.594944i
$78$	−2.42094	+	0.738296i	−0.274118	+	0.0835955i
$79$	5.64940	+	3.26168i	0.635607	+	0.366968i	0.782920	−	0.622122i	$-0.213729\pi$
$79$	5.64940	+	3.26168i	0.635607	+	0.366968i	−0.147313	+	0.989090i	$0.547063\pi$
$80$	1.87426	+	14.7420i	0.209549	+	1.64821i
$81$	8.66874	−	2.41928i	0.963194	−	0.268808i
$82$	0.951950	−	1.52708i	0.105125	−	0.168637i
$83$	2.06791	+	7.71754i	0.226982	+	0.847110i	0.981601	+	0.190946i	$0.0611554\pi$
$83$	2.06791	+	7.71754i	0.226982	+	0.847110i	−0.754618	+	0.656164i	$0.772178\pi$
$84$	7.75132	−	4.47904i	0.845739	−	0.488703i
$85$	3.97882	−	14.8491i	0.431563	−	1.61062i
$86$	1.55648	−	1.45456i	0.167839	−	0.156849i
$87$	−4.07965	−	11.9168i	−0.437385	−	1.27762i
$88$	−5.83945	+	0.944128i	−0.622487	+	0.100644i
$89$	−14.1938			−1.50454			−0.752272	−	0.658852i	$-0.771042\pi$
$89$	−14.1938			−1.50454			−0.752272	+	0.658852i	$0.771042\pi$
$90$	−5.61218	−	14.7292i	−0.591576	−	1.55259i
$91$	1.88821	−	1.88821i	0.197939	−	0.197939i
$92$	−1.09610	+	16.1729i	−0.114277	+	1.68614i
$93$	−2.26805	−	3.37542i	−0.235185	−	0.350015i
$94$	10.1995	+	0.345234i	1.05200	+	0.0356082i
$95$	−6.54863	−	11.3426i	−0.671875	−	1.16372i
$96$	−7.94730	−	5.73066i	−0.811118	−	0.584883i
$97$	6.54551	−	11.3372i	0.664596	−	1.15111i	−0.314799	−	0.949158i	$-0.601937\pi$
$97$	6.54551	−	11.3372i	0.664596	−	1.15111i	0.979395	−	0.201955i	$-0.0647295\pi$
$98$	0.240353	−	0.385564i	0.0242793	−	0.0389478i
$99$	5.78401	−	2.43098i	0.581314	−	0.244322i
$100$	−15.8068	+	7.75144i	−1.58068	+	0.775144i
$101$	−1.05705	−	3.94498i	−0.105181	−	0.392540i	0.893185	−	0.449690i	$-0.148465\pi$
$101$	−1.05705	−	3.94498i	−0.105181	−	0.392540i	−0.998366	+	0.0571499i	$0.981799\pi$
$102$	5.36506	+	8.59934i	0.531220	+	0.851461i
$103$	2.22868	+	3.86019i	0.219599	+	0.380356i	0.954685	−	0.297617i	$-0.0961918\pi$
$103$	2.22868	+	3.86019i	0.219599	+	0.380356i	−0.735087	+	0.677973i	$0.762859\pi$
$104$	−2.73180	−	1.03858i	−0.267875	−	0.101841i
$105$	12.5313	+	10.9324i	1.22293	+	1.06689i
$106$	−1.04580	−	0.318510i	−0.101578	−	0.0309364i
$107$	4.01417	+	4.01417i	0.388064	+	0.388064i	0.873996	−	0.485932i	$-0.161520\pi$
$107$	4.01417	+	4.01417i	0.388064	+	0.388064i	−0.485932	+	0.873996i	$0.661520\pi$
$108$	9.62315	+	3.92365i	0.925988	+	0.377553i
$109$	−6.84996	+	6.84996i	−0.656107	+	0.656107i	−0.954457	−	0.298349i	$-0.903564\pi$
$109$	−6.84996	+	6.84996i	−0.656107	+	0.656107i	0.298349	+	0.954457i	$0.403564\pi$
$110$	−5.16902	−	9.69643i	−0.492847	−	0.924519i
$111$	7.65837	−	8.77844i	0.726900	−	0.833212i
$112$	10.2428	+	1.39479i	0.967850	+	0.131795i
$113$	−7.97546	+	4.60464i	−0.750268	+	0.433168i	−0.825791	−	0.563976i	$-0.809271\pi$
$113$	−7.97546	+	4.60464i	−0.750268	+	0.433168i	0.0755225	+	0.997144i	$0.475938\pi$
$114$	8.41260	+	1.94843i	0.787912	+	0.182487i
$115$	−29.0855	+	7.79344i	−2.71224	+	0.726742i
$116$	4.70571	−	13.7621i	0.436914	−	1.27778i
$117$	3.07538	+	0.388692i	0.284319	+	0.0359346i
$118$	11.4156	−	2.64840i	1.05090	−	0.243805i
$119$	−9.26095	−	5.34681i	−0.848950	−	0.490142i
$120$	5.29626	−	17.4129i	0.483481	−	1.58958i
$121$	−5.73844	+	3.31309i	−0.521676	+	0.301190i
$122$	7.24626	−	6.77178i	0.656046	−	0.613088i
$123$	−1.82932	+	1.22917i	−0.164944	+	0.110831i
$124$	0.317520	−	4.68499i	0.0285141	−	0.420725i
$125$	−9.98936	−	9.98936i	−0.893475	−	0.893475i
$126$	−10.9071	+	1.11907i	−0.971682	+	0.0996949i
$127$			4.75792i			0.422197i	0.977465	+	0.211099i	$0.0677041\pi$
$127$			4.75792i			0.422197i	−0.977465	+	0.211099i	$0.932296\pi$
$128$	−3.19995	−	10.8517i	−0.282839	−	0.959167i
$129$	−2.46849	+	0.845072i	−0.217338	+	0.0744044i
$130$	0.183654	−	5.42581i	0.0161075	−	0.475875i
$131$	8.36446	+	2.24125i	0.730806	+	0.195819i	0.604988	−	0.796234i	$-0.293178\pi$
$131$	8.36446	+	2.24125i	0.730806	+	0.195819i	0.125818	+	0.992053i	$0.459844\pi$
$132$	6.99854	+	1.87249i	0.609145	+	0.162979i
$133$	−8.80019	+	2.35800i	−0.763073	+	0.204465i
$134$	−4.00259	+	0.928589i	−0.345771	+	0.0802179i
$135$	−1.11292	+	19.2725i	−0.0957853	+	1.65871i
$136$	−1.18595	+	11.6435i	−0.101695	+	0.998418i
$137$	8.29570	−	14.3686i	0.708750	−	1.22759i	−0.256571	−	0.966525i	$-0.582593\pi$
$137$	8.29570	−	14.3686i	0.708750	−	1.22759i	0.965321	−	0.261065i	$-0.0840738\pi$
$138$	9.33280	−	17.5227i	0.794461	−	1.49163i
$139$	−6.87408	−	1.84191i	−0.583052	−	0.156228i	−0.0447763	−	0.998997i	$-0.514257\pi$
$139$	−6.87408	−	1.84191i	−0.583052	−	0.156228i	−0.538276	+	0.842769i	$0.680924\pi$
$140$	3.70438	+	18.8417i	0.313077	+	1.59242i
$141$	−11.2242	−	5.49910i	−0.945252	−	0.463108i
$142$	8.22969	−	4.38712i	0.690620	−	0.368159i
$143$	2.16097			0.180710
$144$	6.00766	+	10.3879i	0.500638	+	0.865657i
$145$	27.0175			2.24368
$146$	−10.9659	+	5.84573i	−0.907541	+	0.483796i
$147$	−0.461874	+	0.310347i	−0.0380948	+	0.0255970i
$148$	13.1990	−	2.59500i	1.08495	−	0.213307i
$149$	3.61965	+	0.969882i	0.296533	+	0.0794558i	0.404018	−	0.914751i	$-0.367613\pi$
$149$	3.61965	+	0.969882i	0.296533	+	0.0794558i	−0.107485	+	0.994207i	$0.534280\pi$
$150$	21.5491	−	0.737347i	1.75948	−	0.0602041i
$151$	1.35324	−	2.34389i	0.110125	−	0.190743i	−0.805695	−	0.592330i	$-0.798208\pi$
$151$	1.35324	−	2.34389i	0.110125	−	0.190743i	0.915821	+	0.401588i	$0.131541\pi$
$152$	6.29993	+	7.72885i	0.510992	+	0.626892i
$153$	−1.68401	−	12.2989i	−0.136144	−	0.994307i
$154$	−7.44575	+	1.72739i	−0.599996	+	0.139197i
$155$	8.42553	−	2.25761i	0.676755	−	0.181336i
$156$	2.53195	+	2.53008i	0.202718	+	0.202569i
$157$	4.79418	+	1.28460i	0.382617	+	0.102522i	0.445001	−	0.895530i	$-0.353203\pi$
$157$	4.79418	+	1.28460i	0.382617	+	0.102522i	−0.0623832	+	0.998052i	$0.519870\pi$
$158$	0.312085	−	9.22015i	0.0248281	−	0.733516i
$159$	1.00894	+	0.880209i	0.0800144	+	0.0698051i
$160$	17.1507	−	12.1465i	1.35588	−	0.960261i
$161$			20.9460i			1.65077i
$162$	−8.78623	−	9.20881i	−0.690311	−	0.723512i
$163$	−8.40242	−	8.40242i	−0.658129	−	0.658129i	0.296808	−	0.954937i	$-0.404078\pi$
$163$	−8.40242	−	8.40242i	−0.658129	−	0.658129i	−0.954937	+	0.296808i	$0.904078\pi$
$164$	−2.53904	−	0.172081i	−0.198266	−	0.0134373i
$165$	0.914940	+	13.4266i	0.0712280	+	1.04526i
$166$	8.25549	−	7.71492i	0.640750	−	0.598794i
$167$	−7.11596	+	4.10840i	−0.550650	+	0.317918i	−0.749384	−	0.662136i	$-0.769650\pi$
$167$	−7.11596	+	4.10840i	−0.550650	+	0.317918i	0.198734	+	0.980053i	$0.436317\pi$
$168$	−10.7464	−	6.69360i	−0.829103	−	0.516423i
$169$	−10.3337	−	5.96616i	−0.794900	−	0.458936i
$170$	−21.1782	+	4.91328i	−1.62429	+	0.376831i
$171$	−8.42375	−	6.39474i	−0.644180	−	0.489018i
$172$	−2.85072	−	0.974754i	−0.217365	−	0.0743243i
$173$	24.8718	−	6.66438i	1.89097	−	0.506683i	0.892518	−	0.451012i	$-0.148937\pi$
$173$	24.8718	−	6.66438i	1.89097	−	0.506683i	0.998449	−	0.0556715i	$-0.0177300\pi$
$174$	−12.1577	+	13.0192i	−0.921672	+	0.986980i
$175$	−19.7009	+	11.3743i	−1.48925	+	0.859816i
$176$	5.06305	+	6.65933i	0.381642	+	0.501966i
$177$	−14.0840	−	2.76359i	−1.05862	−	0.207724i
$178$	9.44275	+	17.7134i	0.707764	+	1.32768i
$179$	14.5908	−	14.5908i	1.09057	−	1.09057i	0.0951034	−	0.995467i	$-0.469682\pi$
$179$	14.5908	−	14.5908i	1.09057	−	1.09057i	0.995467	−	0.0951034i	$-0.0303182\pi$
$180$	−14.6479	+	16.8027i	−1.09179	+	1.25240i
$181$	8.19403	+	8.19403i	0.609057	+	0.609057i	0.942700	−	0.333642i	$-0.108278\pi$
$181$	8.19403	+	8.19403i	0.609057	+	0.609057i	−0.333642	+	0.942700i	$0.608278\pi$
$182$	−3.61260	−	1.10025i	−0.267783	−	0.0815560i
$183$	−11.4922	+	3.93427i	−0.849524	+	0.290830i
$184$	20.9124	−	9.39147i	1.54169	−	0.692349i
$185$	12.4939	+	21.6400i	0.918568	+	1.59101i
$186$	−2.70354	+	5.07601i	−0.198233	+	0.372191i
$187$	−2.23978	−	8.35896i	−0.163789	−	0.611268i
$188$	−6.35459	−	12.9583i	−0.463456	−	0.945081i
$189$	12.7490	+	4.21757i	0.927356	+	0.306783i
$190$	−9.79850	+	15.7183i	−0.710858	+	1.14033i
$191$	−2.80582	+	4.85981i	−0.203022	+	0.351644i	−0.949501	−	0.313765i	$-0.898410\pi$
$191$	−2.80582	+	4.85981i	−0.203022	+	0.351644i	0.746479	+	0.665409i	$0.231743\pi$
$192$	−1.86456	+	13.7304i	−0.134563	+	0.990905i
$193$	−12.5728	−	21.7767i	−0.905008	−	1.56752i	−0.820906	−	0.571063i	$-0.806531\pi$
$193$	−12.5728	−	21.7767i	−0.905008	−	1.56752i	−0.0841024	−	0.996457i	$-0.526802\pi$
$194$	−18.5029	−	0.626288i	−1.32843	−	0.0449649i
$195$	−2.92535	+	5.97094i	−0.209488	+	0.427588i
$196$	−0.641069	−	0.0434478i	−0.0457907	−	0.00310341i
$197$	4.31684	−	4.31684i	0.307562	−	0.307562i	−0.536401	−	0.843963i	$-0.680216\pi$
$197$	4.31684	−	4.31684i	0.307562	−	0.307562i	0.843963	+	0.536401i	$0.180216\pi$
$198$	−6.88170	−	5.60097i	−0.489061	−	0.398044i
$199$	−14.6645			−1.03954			−0.519769	−	0.854307i	$-0.673982\pi$
$199$	−14.6645			−1.03954			−0.519769	+	0.854307i	$0.673982\pi$
$200$	20.1893	+	14.5695i	1.42760	+	1.03022i
$201$	4.93818	+	0.968981i	0.348312	+	0.0683466i
$202$	−4.21996	+	3.94364i	−0.296916	+	0.277474i
$203$	4.86416	−	18.1533i	0.341397	−	1.27411i
$204$	7.16245	−	12.4163i	0.501472	−	0.869314i
$205$	−1.22352	−	4.56624i	−0.0854543	−	0.318920i
$206$	3.33471	−	5.34939i	0.232340	−	0.372710i
$207$	−19.2135	+	14.9017i	−1.33543	+	1.03574i
$208$	0.521278	+	4.10013i	0.0361441	+	0.284293i
$209$	−6.38502	−	3.68639i	−0.441661	−	0.254993i
$210$	5.30652	−	22.9116i	0.366185	−	1.58105i
$211$	0.604656	−	2.25661i	0.0416263	−	0.155351i	−0.941984	−	0.335656i	$-0.891042\pi$
$211$	0.604656	−	2.25661i	0.0416263	−	0.155351i	0.983611	+	0.180305i	$0.0577085\pi$
$212$	0.298254	+	1.51702i	0.0204842	+	0.104190i
$213$	−11.3956	+	0.776541i	−0.780812	+	0.0532077i
$214$	2.33903	−	7.68004i	0.159893	−	0.524997i
$215$		−	5.59648i		−	0.381677i
$216$	−1.50542	−	14.6196i	−0.102431	−	0.994740i
$217$		−	6.06766i		−	0.411899i
$218$	13.1056	+	3.99143i	0.887622	+	0.270334i
$219$	15.1843	−	1.03472i	1.02606	−	0.0699200i
$220$	−8.66201	+	12.9015i	−0.583993	+	0.869819i
$221$	1.10661	−	4.12991i	0.0744385	−	0.277808i
$222$	−16.0501	−	3.71733i	−1.07721	−	0.249491i
$223$	24.9105	+	14.3821i	1.66813	+	0.963094i	0.968646	+	0.248445i	$0.0799195\pi$
$223$	24.9105	+	14.3821i	1.66813	+	0.963094i	0.699483	+	0.714650i	$0.253414\pi$
$224$	−5.07356	−	13.7105i	−0.338992	−	0.916073i
$225$	−24.4494	−	9.97928i	−1.62996	−	0.665286i
$226$	11.0523	+	6.88976i	0.735185	+	0.458300i
$227$	−2.16234	−	8.06995i	−0.143519	−	0.535621i	−0.999817	−	0.0191384i	$-0.993908\pi$
$227$	−2.16234	−	8.06995i	−0.143519	−	0.535621i	0.856298	−	0.516483i	$-0.172759\pi$
$228$	−3.16508	−	11.7949i	−0.209613	−	0.781133i
$229$	−4.96759	+	18.5393i	−0.328268	+	1.22511i	0.582718	+	0.812674i	$0.301989\pi$
$229$	−4.96759	+	18.5393i	−0.328268	+	1.22511i	−0.910986	+	0.412438i	$0.864677\pi$
$230$	29.0757	+	31.1129i	1.91719	+	2.05153i
$231$	9.18616	+	1.80253i	0.604405	+	0.118598i
$232$	−20.3052	+	3.28296i	−1.33310	+	0.215537i
$233$	2.96265			0.194090			0.0970450	−	0.995280i	$-0.469061\pi$
$233$	2.96265			0.194090			0.0970450	+	0.995280i	$0.469061\pi$
$234$	−1.56089	−	4.09655i	−0.102038	−	0.267800i
$235$	18.9573	−	18.9573i	1.23664	−	1.23664i
$236$	−10.8996	−	12.4844i	−0.709503	−	0.812667i
$237$	−4.97108	+	10.1465i	−0.322906	+	0.659085i
$238$	−0.511595	+	15.1144i	−0.0331618	+	0.979722i
$239$	−5.14390	−	8.90950i	−0.332731	−	0.576307i	0.650315	−	0.759665i	$-0.274637\pi$
$239$	−5.14390	−	8.90950i	−0.332731	−	0.576307i	−0.983046	+	0.183357i	$0.941304\pi$
$240$	−25.2542	+	4.97476i	−1.63015	+	0.321120i
$241$	−12.8722	+	22.2954i	−0.829173	+	1.43617i	0.0695144	+	0.997581i	$0.477855\pi$
$241$	−12.8722	+	22.2954i	−0.829173	+	1.43617i	−0.898688	+	0.438589i	$0.855478\pi$
$242$	7.95223	+	4.95727i	0.511189	+	0.318665i
$243$	5.20141	+	14.6951i	0.333671	+	0.942690i
$244$	−13.2717	−	4.53801i	−0.849631	−	0.290517i
$245$	−0.308920	−	1.15290i	−0.0197362	−	0.0736564i
$246$	2.75095	+	1.46519i	0.175394	+	0.0934170i
$247$	−1.82134	−	3.15465i	−0.115889	−	0.200725i
$248$	−6.05794	+	2.72053i	−0.384680	+	0.172754i
$249$	−13.0927	+	4.48222i	−0.829718	+	0.284049i
$250$	−5.82074	+	19.1120i	−0.368136	+	1.20875i
$251$	16.7668	+	16.7668i	1.05831	+	1.05831i	0.998191	+	0.0601228i	$0.0191492\pi$
$251$	16.7668	+	16.7668i	1.05831	+	1.05831i	0.0601228	+	0.998191i	$0.480851\pi$
$252$	8.65273	+	12.8672i	0.545071	+	0.810557i
$253$	−11.9859	+	11.9859i	−0.753544	+	0.753544i
$254$	5.93772	−	3.16531i	0.372566	−	0.198609i
$255$	26.1285	+	5.12699i	1.63623	+	0.321065i
$256$	−11.4138	+	11.2128i	−0.713359	+	0.700798i
$257$	−6.74821	+	3.89608i	−0.420942	+	0.243031i	−0.695480	−	0.718545i	$-0.744808\pi$
$257$	−6.74821	+	3.89608i	−0.420942	+	0.243031i	0.274538	+	0.961576i	$0.411475\pi$
$258$	2.69683	+	2.51838i	0.167897	+	0.156788i
$259$	16.7895	−	4.49874i	1.04325	−	0.279538i
$260$	−6.89340	+	3.38044i	−0.427511	+	0.209646i
$261$	20.1124	−	8.45309i	1.24492	−	0.523233i
$262$	−2.76763	−	11.9296i	−0.170985	−	0.737012i
$263$	12.3513	+	7.13103i	0.761615	+	0.439718i	0.829875	−	0.557949i	$-0.188412\pi$
$263$	12.3513	+	7.13103i	0.761615	+	0.439718i	−0.0682606	+	0.997668i	$0.521745\pi$
$264$	−2.31912	−	9.97965i	−0.142732	−	0.614205i
$265$	−2.48718	+	1.43597i	−0.152786	+	0.0882112i
$266$	8.79721	+	9.41361i	0.539391	+	0.577185i
$267$	−1.67141	−	24.5276i	−0.102289	−	1.50106i
$268$	3.82165	+	4.37733i	0.233445	+	0.267388i
$269$	−1.70265	−	1.70265i	−0.103812	−	0.103812i	0.653293	−	0.757105i	$-0.273387\pi$
$269$	−1.70265	−	1.70265i	−0.103812	−	0.103812i	−0.757105	+	0.653293i	$0.773387\pi$
$270$	24.7918	−	11.4325i	1.50878	−	0.695763i
$271$			9.55642i			0.580511i	0.956949	+	0.290256i	$0.0937403\pi$
$271$			9.55642i			0.580511i	−0.956949	+	0.290256i	$0.906260\pi$
$272$	15.3196	−	6.26602i	0.928887	−	0.379933i
$273$	3.48526	+	3.04057i	0.210938	+	0.184023i
$274$	−23.4504	−	0.793751i	−1.41669	−	0.0479522i
$275$	−17.7821	−	4.76469i	−1.07230	−	0.287321i
$276$	−28.0766	+	0.0103466i	−1.69001	+	0.000622789i
$277$	−2.13315	+	0.571577i	−0.128169	+	0.0343427i	−0.322333	−	0.946626i	$-0.604467\pi$
$277$	−2.13315	+	0.571577i	−0.128169	+	0.0343427i	0.194164	+	0.980969i	$0.437800\pi$
$278$	2.27449	+	9.80398i	0.136415	+	0.588003i
$279$	5.56579	−	4.31676i	0.333215	−	0.258437i
$280$	21.0494	−	17.1578i	1.25794	−	1.02537i
$281$	8.26158	−	14.3095i	0.492845	−	0.853632i	−0.507121	−	0.861875i	$-0.669290\pi$
$281$	8.26158	−	14.3095i	0.492845	−	0.853632i	0.999966	+	0.00824250i	$0.00262370\pi$
$282$	0.604473	+	17.6658i	0.0359959	+	1.05199i
$283$	7.29366	+	1.95433i	0.433563	+	0.116173i	0.468998	−	0.883199i	$-0.344615\pi$
$283$	7.29366	+	1.95433i	0.433563	+	0.116173i	−0.0354353	+	0.999372i	$0.511282\pi$
$284$	−10.9499	−	7.35174i	−0.649760	−	0.436246i
$285$	18.8293	−	12.6520i	1.11535	−	0.749438i
$286$	−1.43763	−	2.69682i	−0.0850090	−	0.159466i
$287$	−3.28838			−0.194107
$288$	8.96699	−	14.4081i	0.528385	−	0.849005i
$289$	−0.122073			−0.00718078
$290$	−17.9739	−	33.7168i	−1.05546	−	1.97992i
$291$	20.3619	+	9.97590i	1.19363	+	0.584798i
$292$	14.5905	+	9.79601i	0.853846	+	0.573268i
$293$	22.8630	+	6.12613i	1.33567	+	0.357892i	0.854827	−	0.518913i	$-0.173663\pi$
$293$	22.8630	+	6.12613i	1.33567	+	0.357892i	0.480845	+	0.876805i	$0.340330\pi$
$294$	0.694574	+	0.369938i	0.0405084	+	0.0215752i
$295$	15.3928	−	26.6612i	0.896206	−	1.55227i
$296$	−12.0194	−	14.7456i	−0.698613	−	0.857068i
$297$	4.88194	+	9.70875i	0.283279	+	0.563359i
$298$	−1.19767	−	5.16243i	−0.0693790	−	0.299051i
$299$	−8.08940	+	2.16755i	−0.467822	+	0.125353i
$300$	−15.2562	−	26.4020i	−0.880815	−	1.52432i
$301$	−3.76033	−	1.00758i	−0.216742	−	0.0580758i
$302$	−3.82536	−	0.129481i	−0.220125	−	0.00745080i
$303$	6.69261	−	2.29118i	0.384481	−	0.131625i
$304$	5.45416	−	13.0039i	0.312818	−	0.745823i
$305$		−	26.0547i		−	1.49189i
$306$	−14.2283	+	10.2837i	−0.813375	+	0.587879i
$307$	12.9528	+	12.9528i	0.739255	+	0.739255i	0.972434	−	0.233179i	$-0.0749129\pi$
$307$	12.9528	+	12.9528i	0.739255	+	0.739255i	−0.233179	+	0.972434i	$0.574913\pi$
$308$	7.10916	+	8.14285i	0.405082	+	0.463982i
$309$	−6.40814	+	4.30582i	−0.364546	+	0.244950i
$310$	−8.42268	−	9.01284i	−0.478376	−	0.511895i
$311$	−3.74301	+	2.16103i	−0.212247	+	0.122541i	−0.602355	−	0.798228i	$-0.705771\pi$
$311$	−3.74301	+	2.16103i	−0.212247	+	0.122541i	0.390108	+	0.920769i	$0.372438\pi$
$312$	1.47302	−	4.84297i	0.0833935	−	0.274179i
$313$	13.7859	+	7.95932i	0.779228	+	0.449887i	0.836157	−	0.548491i	$-0.184797\pi$
$313$	13.7859	+	7.95932i	0.779228	+	0.449887i	−0.0569286	+	0.998378i	$0.518131\pi$
$314$	−1.58630	−	6.83757i	−0.0895199	−	0.385867i
$315$	−17.4160	+	22.9420i	−0.981280	+	1.29263i
$316$	−11.7140	+	5.74442i	−0.658966	+	0.323149i
$317$	−28.7104	+	7.69292i	−1.61253	+	0.432077i	−0.948797	−	0.315888i	$-0.897698\pi$
$317$	−28.7104	+	7.69292i	−1.61253	+	0.432077i	−0.663738	+	0.747965i	$0.731031\pi$
$318$	0.427249	−	1.84470i	0.0239589	−	0.103446i
$319$	13.1712	−	7.60441i	0.737447	−	0.425765i
$320$	−26.5682	−	13.3227i	−1.48521	−	0.744763i
$321$	−6.46396	+	7.40934i	−0.360783	+	0.413549i
$322$	26.1398	−	13.9347i	1.45672	−	0.776553i
$323$	−10.3149	+	10.3149i	−0.573935	+	0.573935i
$324$	−5.64705	+	17.0913i	−0.313725	+	0.949514i
$325$	−6.43149	−	6.43149i	−0.356755	−	0.356755i
$326$	−4.89604	+	16.0758i	−0.271167	+	0.890357i
$327$	−12.6437	−	11.0304i	−0.699196	−	0.609983i
$328$	1.47440	+	3.28312i	0.0814101	+	0.181280i
$329$	−9.32459	−	16.1507i	−0.514082	−	0.890415i
$330$	16.1472	−	10.0741i	0.888873	−	0.554561i
$331$	0.509403	+	1.90112i	0.0279993	+	0.104495i	0.978511	−	0.206193i	$-0.0661074\pi$
$331$	0.509403	+	1.90112i	0.0279993	+	0.104495i	−0.950512	+	0.310688i	$0.899441\pi$
$332$	−15.1201	−	5.17005i	−0.829823	−	0.283743i
$333$	16.0713	+	12.2003i	0.880704	+	0.668571i
$334$	9.86118	+	6.14727i	0.539580	+	0.336363i
$335$	−5.39709	+	9.34803i	−0.294874	+	0.510738i
$336$	−1.20411	+	17.8642i	−0.0656897	+	0.974571i
$337$	9.46585	+	16.3953i	0.515638	+	0.893111i	0.999835	+	0.0181522i	$0.00577834\pi$
$337$	9.46585	+	16.3953i	0.515638	+	0.893111i	−0.484197	+	0.874959i	$0.660888\pi$
$338$	−0.570855	+	16.8652i	−0.0310504	+	0.917346i
$339$	−8.89617	−	13.2397i	−0.483173	−	0.719083i
$340$	20.2208	+	23.1610i	1.09663	+	1.25608i
$341$	3.47208	−	3.47208i	0.188024	−	0.188024i
$342$	−2.37634	+	14.7668i	−0.128498	+	0.798496i
$343$	−18.9205			−1.02161
$344$	0.680042	+	4.20607i	0.0366654	+	0.226776i
$345$	−16.8924	−	49.3433i	−0.909456	−	2.65655i
$346$	−24.8634	−	26.6055i	−1.33666	−	1.43032i
$347$	−0.821032	+	3.06413i	−0.0440753	+	0.164491i	−0.984456	−	0.175634i	$-0.943803\pi$
$347$	−0.821032	+	3.06413i	−0.0440753	+	0.164491i	0.940380	+	0.340125i	$0.110469\pi$
$348$	24.3356	+	6.51110i	1.30453	+	0.349031i
$349$	−4.28490	−	15.9915i	−0.229365	−	0.856003i	−0.980608	−	0.195978i	$-0.937212\pi$
$349$	−4.28490	−	15.9915i	−0.229365	−	0.856003i	0.751243	−	0.660026i	$-0.229455\pi$
$350$	27.3011	+	17.0190i	1.45931	+	0.909703i
$351$	−0.309532	+	5.36016i	−0.0165216	+	0.286104i
$352$	4.94230	−	10.7488i	0.263426	−	0.572911i
$353$	19.7145	+	11.3822i	1.04930	+	0.605813i	0.922453	−	0.386109i	$-0.126181\pi$
$353$	19.7145	+	11.3822i	1.04930	+	0.605813i	0.126846	+	0.991922i	$0.459514\pi$
$354$	5.92080	+	19.4149i	0.314687	+	1.03189i
$355$	6.34099	−	23.6649i	0.336545	−	1.25600i
$356$	15.8237	−	23.5684i	0.838656	−	1.24912i
$357$	8.14899	−	16.6329i	0.431291	−	0.880309i
$358$	−27.9157	−	8.50200i	−1.47539	−	0.449344i
$359$			7.54182i			0.398042i	0.979995	+	0.199021i	$0.0637762\pi$
$359$			7.54182i			0.398042i	−0.979995	+	0.199021i	$0.936224\pi$
$360$	30.7140	+	7.10170i	1.61877	+	0.374292i
$361$		−	6.57197i		−	0.345893i
$362$	4.77461	−	15.6771i	0.250948	−	0.823970i
$363$	−6.40090	−	9.52614i	−0.335960	−	0.499993i
$364$	1.03028	+	5.24035i	0.0540013	+	0.274669i
$365$	−8.44921	+	31.5329i	−0.442252	+	1.65051i
$366$	12.5552	+	11.7244i	0.656272	+	0.612846i
$367$	−20.6334	−	11.9127i	−1.07706	−	0.621839i	−0.146955	−	0.989143i	$-0.546947\pi$
$367$	−20.6334	−	11.9127i	−1.07706	−	0.621839i	−0.930101	+	0.367304i	$0.880281\pi$
$368$	−25.6326	−	19.8501i	−1.33619	−	1.03476i
$369$	−2.33948	−	3.01639i	−0.121788	−	0.157027i
$370$	18.6942	−	29.9884i	0.971864	−	1.55902i
$371$	0.517059	+	1.92969i	0.0268444	+	0.100185i
$372$	8.13326	−	0.00299720i	0.421690	−	0.000155398i
$373$	−2.37087	+	8.84822i	−0.122759	+	0.458143i	−0.999750	−	0.0223639i	$-0.992881\pi$
$373$	−2.37087	+	8.84822i	−0.122759	+	0.458143i	0.876991	+	0.480507i	$0.159547\pi$
$374$	−8.94163	+	8.35613i	−0.462361	+	0.432085i
$375$	16.0857	−	18.4383i	0.830664	−	0.952152i
$376$	−11.9440	+	16.5511i	−0.615963	+	0.853557i
$377$	7.51422			0.387002
$378$	−3.21818	−	18.7162i	−0.165525	−	0.962656i
$379$	0.636018	−	0.636018i	0.0326701	−	0.0326701i	−0.690583	−	0.723253i	$-0.742646\pi$
$379$	0.636018	−	0.636018i	0.0326701	−	0.0326701i	0.723253	+	0.690583i	$0.242646\pi$
$380$	26.1346	+	1.77124i	1.34068	+	0.0908628i
$381$	−8.22190	+	0.560274i	−0.421220	+	0.0287037i
$382$	7.93150	+	0.268466i	0.405811	+	0.0137359i
$383$	6.80598	+	11.7883i	0.347769	+	0.602354i	0.985853	−	0.167613i	$-0.0536060\pi$
$383$	6.80598	+	11.7883i	0.347769	+	0.602354i	−0.638084	+	0.769967i	$0.720273\pi$
$384$	18.3755	−	6.80752i	0.937719	−	0.347395i
$385$	−10.0398	+	17.3895i	−0.511678	+	0.886252i
$386$	−18.8122	+	30.1778i	−0.957518	+	1.53601i
$387$	−1.75100	−	4.16614i	−0.0890083	−	0.211777i
$388$	11.5278	+	23.5076i	0.585238	+	1.19342i
$389$	−2.14427	−	8.00251i	−0.108719	−	0.405744i	0.890022	−	0.455918i	$-0.150689\pi$
$389$	−2.14427	−	8.00251i	−0.108719	−	0.405744i	−0.998740	+	0.0501744i	$0.984022\pi$
$390$	9.39767	−	0.321561i	0.475869	−	0.0162828i
$391$	16.7688	+	29.0444i	0.848034	+	1.46884i
$392$	0.372263	+	0.828936i	0.0188021	+	0.0418676i
$393$	−2.88801	+	14.7181i	−0.145681	+	0.742428i
$394$	−8.25914	−	2.51540i	−0.416089	−	0.126724i
$395$	−17.1370	−	17.1370i	−0.862258	−	0.862258i
$396$	−2.41162	+	12.3143i	−0.121189	+	0.618816i
$397$	−6.79264	+	6.79264i	−0.340913	+	0.340913i	−0.856710	−	0.515798i	$-0.827496\pi$
$397$	−6.79264	+	6.79264i	−0.340913	+	0.340913i	0.515798	+	0.856710i	$0.327496\pi$
$398$	9.75585	+	18.3008i	0.489017	+	0.917334i
$399$	−5.11101	−	14.9294i	−0.255870	−	0.747407i
$400$	4.75083	−	34.8882i	0.237542	−	1.74441i
$401$	5.01378	−	2.89471i	0.250376	−	0.144555i	−0.369560	−	0.929207i	$-0.620492\pi$
$401$	5.01378	−	2.89471i	0.250376	−	0.144555i	0.619936	+	0.784652i	$0.287158\pi$
$402$	−2.07597	−	6.80731i	−0.103540	−	0.339518i
$403$	2.34335	−	0.627898i	0.116731	−	0.0312778i
$404$	7.72894	+	2.64278i	0.384529	+	0.131483i
$405$	−33.4348	+	0.346272i	−1.66139	+	0.0172064i
$406$	−25.8907	+	6.00655i	−1.28493	+	0.298100i
$407$	12.1817	+	7.03312i	0.603826	+	0.348619i
$408$	−20.2601	−	0.678290i	−1.00302	−	0.0335804i
$409$	−11.5152	+	6.64832i	−0.569392	+	0.328738i	−0.756906	−	0.653523i	$-0.773290\pi$
$409$	−11.5152	+	6.64832i	−0.569392	+	0.328738i	0.187515	+	0.982262i	$0.439957\pi$
$410$	−4.88453	+	4.56469i	−0.241230	+	0.225434i
$411$	25.8064	+	12.6434i	1.27294	+	0.623650i
$412$	−8.89433	−	0.602804i	−0.438192	−	0.0296980i
$413$	−15.1426	−	15.1426i	−0.745120	−	0.745120i
$414$	31.3790	+	14.0641i	1.54220	+	0.691212i
$415$		−	29.6834i		−	1.45710i
$416$	4.77002	−	3.37823i	0.233870	−	0.165631i
$417$	2.37343	−	12.0956i	0.116227	−	0.592325i
$418$	−0.352722	+	10.4207i	−0.0172522	+	0.509694i
$419$	−12.2948	−	3.29438i	−0.600639	−	0.160941i	−0.0543282	−	0.998523i	$-0.517302\pi$
$419$	−12.2948	−	3.29438i	−0.600639	−	0.160941i	−0.546311	+	0.837582i	$0.683968\pi$
$420$	−32.1231	+	8.62006i	−1.56745	+	0.420616i
$421$	−6.42470	+	1.72149i	−0.313121	+	0.0839004i	−0.411957	−	0.911203i	$-0.635155\pi$
$421$	−6.42470	+	1.72149i	−0.313121	+	0.0839004i	0.0988365	+	0.995104i	$0.468488\pi$
$422$	−3.21843	+	0.746665i	−0.156671	+	0.0363471i
$423$	8.18097	−	20.0435i	0.397772	−	0.974550i
$424$	1.69477	−	1.38144i	0.0823053	−	0.0670887i
$425$	−18.2119	+	31.5440i	−0.883408	+	1.53011i
$426$	8.55023	+	13.7047i	0.414260	+	0.663993i
$427$	−17.5064	−	4.69083i	−0.847194	−	0.227005i
$428$	−11.1405	+	2.19028i	−0.538497	+	0.105871i
$429$	0.254468	+	3.73426i	0.0122858	+	0.180292i
$430$	−6.98420	+	3.72317i	−0.336808	+	0.179547i
$431$	−37.3843			−1.80074			−0.900370	−	0.435126i	$-0.856704\pi$
$431$	−37.3843			−1.80074			−0.900370	+	0.435126i	$0.856704\pi$
$432$	−17.2433	+	11.6047i	−0.829617	+	0.558333i
$433$	−18.8561			−0.906166			−0.453083	−	0.891468i	$-0.649676\pi$
$433$	−18.8561			−0.906166			−0.453083	+	0.891468i	$0.649676\pi$
$434$	−7.57222	+	4.03663i	−0.363478	+	0.193765i
$435$	3.18147	+	46.6873i	0.152540	+	2.23849i
$436$	−3.73760	−	19.0107i	−0.178998	−	0.910447i
$437$	27.5993	+	7.39522i	1.32026	+	0.353761i
$438$	−11.3930	−	18.2611i	−0.544377	−	0.872549i
$439$	−4.21577	+	7.30192i	−0.201208	+	0.348502i	−0.948918	−	0.315523i	$-0.897820\pi$
$439$	−4.21577	+	7.30192i	−0.201208	+	0.348502i	0.747710	+	0.664025i	$0.231153\pi$
$440$	21.8632	+	2.22689i	1.04229	+	0.106163i
$441$	−0.590682	−	0.761594i	−0.0281277	−	0.0362664i
$442$	−5.89018	+	1.36650i	−0.280167	+	0.0649980i
$443$	−9.20983	+	2.46777i	−0.437572	+	0.117247i	−0.470879	−	0.882198i	$-0.656063\pi$
$443$	−9.20983	+	2.46777i	−0.437572	+	0.117247i	0.0333063	+	0.999445i	$0.489396\pi$
$444$	6.03853	+	22.5029i	0.286576	+	1.06794i
$445$	50.9358	+	13.6482i	2.41459	+	0.646987i
$446$	1.37611	−	40.6553i	0.0651606	−	1.92509i
$447$	−1.24976	+	6.36912i	−0.0591117	+	0.301249i
$448$	−13.7350	+	15.4528i	−0.648915	+	0.730077i
$449$			7.54348i			0.355999i	0.984031	+	0.177999i	$0.0569625\pi$
$449$			7.54348i			0.355999i	−0.984031	+	0.177999i	$0.943038\pi$
$450$	3.81170	+	37.1510i	0.179685	+	1.75131i
$451$	−1.88170	−	1.88170i	−0.0886058	−	0.0886058i
$452$	1.24544	−	18.3764i	0.0585805	−	0.864352i
$453$	4.20969	+	2.06246i	0.197788	+	0.0969026i
$454$	−8.63247	+	8.06722i	−0.405142	+	0.378613i
$455$	−8.59164	+	4.96039i	−0.402782	+	0.232546i
$456$	−12.6139	+	11.7967i	−0.590701	+	0.552430i
$457$	5.15261	+	2.97486i	0.241029	+	0.139158i	0.615649	−	0.788020i	$-0.288894\pi$
$457$	5.15261	+	2.97486i	0.241029	+	0.139158i	−0.374621	+	0.927178i	$0.622227\pi$
$458$	26.4412	−	6.13428i	1.23552	−	0.286636i
$459$	21.0547	−	4.35832i	0.982750	−	0.203429i
$460$	19.4847	−	56.9839i	0.908477	−	2.65689i
$461$	23.8023	−	6.37780i	1.10858	−	0.297044i	0.342328	−	0.939581i	$-0.388785\pi$
$461$	23.8023	−	6.37780i	1.10858	−	0.297044i	0.766255	+	0.642537i	$0.222118\pi$
$462$	−3.86179	−	12.6632i	−0.179667	−	0.589144i
$463$	20.8183	−	12.0194i	0.967507	−	0.558590i	0.0690315	−	0.997614i	$-0.478009\pi$
$463$	20.8183	−	12.0194i	0.967507	−	0.558590i	0.898475	+	0.439024i	$0.144676\pi$
$464$	17.6054	+	23.1561i	0.817312	+	1.07499i
$465$	4.89341	+	14.2938i	0.226926	+	0.662861i
$466$	−1.97097	−	3.69729i	−0.0913033	−	0.171274i
$467$	−25.3702	+	25.3702i	−1.17399	+	1.17399i	−0.192744	+	0.981249i	$0.561739\pi$
$467$	−25.3702	+	25.3702i	−1.17399	+	1.17399i	−0.981249	+	0.192744i	$0.938261\pi$
$468$	−4.07394	+	4.67325i	−0.188318	+	0.216021i
$469$	5.30936	+	5.30936i	0.245163	+	0.245163i
$470$	−36.2698	−	11.0463i	−1.67300	−	0.509529i
$471$	−1.65530	+	8.43582i	−0.0762720	+	0.388702i
$472$	−8.32893	+	21.9078i	−0.383370	+	1.00839i
$473$	−1.57520	−	2.72833i	−0.0724278	−	0.125449i
$474$	15.9696	−	0.546432i	0.733506	−	0.0250984i
$475$	8.03166	+	29.9745i	0.368518	+	1.37533i
$476$	19.2026	−	9.41673i	0.880150	−	0.431615i
$477$	−1.40223	+	1.84715i	−0.0642037	+	0.0845751i
$478$	−7.69665	+	12.3466i	−0.352037	+	0.564722i
$479$	−0.498647	+	0.863682i	−0.0227838	+	0.0394626i	−0.877192	−	0.480139i	$-0.840586\pi$
$479$	−0.498647	+	0.863682i	−0.0227838	+	0.0394626i	0.854409	+	0.519602i	$0.173920\pi$
$480$	23.0092	+	28.2067i	1.05022	+	1.28746i
$481$	3.47486	+	6.01863i	0.158440	+	0.274426i
$482$	36.3873	+	1.23164i	1.65740	+	0.0560998i
$483$	−36.1956	+	2.46651i	−1.64695	+	0.112230i
$484$	0.896108	−	13.2220i	0.0407322	−	0.601001i
$485$	−34.3904	+	34.3904i	−1.56159	+	1.56159i
$486$	14.8786	−	16.2674i	0.674907	−	0.737903i
$487$	−18.8397			−0.853709			−0.426855	−	0.904320i	$-0.640378\pi$
$487$	−18.8397			−0.853709			−0.426855	+	0.904320i	$0.640378\pi$
$488$	3.16597	+	19.5816i	0.143317	+	0.886416i
$489$	13.5303	−	15.5092i	0.611862	−	0.701350i
$490$	−1.23327	+	1.15251i	−0.0557134	+	0.0520653i
$491$	0.143358	−	0.535020i	0.00646966	−	0.0241451i	−0.962616	−	0.270871i	$-0.912688\pi$
$491$	0.143358	−	0.535020i	0.00646966	−	0.0241451i	0.969085	+	0.246726i	$0.0793549\pi$
$492$	−0.00162434	−	4.40784i	−7.32309e−5	−	0.198721i
$493$	−7.78824	−	29.0661i	−0.350765	−	1.30907i
$494$	−2.72521	+	4.37166i	−0.122613	+	0.196690i
$495$	−23.0939	+	3.16211i	−1.03799	+	0.142126i
$496$	7.42530	+	5.75020i	0.333406	+	0.258192i
$497$	−14.7591	−	8.52115i	−0.662035	−	0.382226i
$498$	14.3039	+	13.3574i	0.640971	+	0.598558i
$499$	11.3041	−	42.1874i	0.506041	−	1.88857i	0.0497007	−	0.998764i	$-0.484173\pi$
$499$	11.3041	−	42.1874i	0.506041	−	1.88857i	0.456340	−	0.889805i	$-0.349160\pi$
$500$	27.7234	−	5.45057i	1.23983	−	0.243757i
$501$	−7.93744	−	11.8129i	−0.354619	−	0.527761i
$502$	9.76994	−	32.0789i	0.436054	−	1.43175i
$503$		−	20.7324i		−	0.924412i	−0.886773	−	0.462206i	$-0.847058\pi$
$503$		−	20.7324i		−	0.924412i	0.886773	−	0.462206i	$-0.152942\pi$
$504$	10.3014	−	19.3585i	0.458860	−	0.862294i
$505$			15.1733i			0.675203i
$506$	22.9318	+	6.98409i	1.01944	+	0.310480i
$507$	9.09293	−	18.5596i	0.403831	−	0.824262i
$508$	−7.90038	−	5.30428i	−0.350523	−	0.235339i
$509$	−2.59840	+	9.69736i	−0.115172	+	0.429828i	−0.999300	−	0.0374174i	$-0.988087\pi$
$509$	−2.59840	+	9.69736i	−0.115172	+	0.429828i	0.884128	+	0.467245i	$0.154754\pi$
$510$	−10.9842	−	36.0183i	−0.486389	−	1.59492i
$511$	19.6661	+	11.3542i	0.869976	+	0.502281i
$512$	21.5864	+	6.78443i	0.953992	+	0.299832i
$513$	10.0584	−	15.3096i	0.444091	−	0.675936i
$514$	9.35156	+	5.82958i	0.412479	+	0.257132i
$515$	−4.28602	−	15.9956i	−0.188865	−	0.704852i
$516$	1.34873	−	5.04095i	0.0593744	−	0.221916i
$517$	3.90607	−	14.5776i	0.171789	−	0.641124i
$518$	−16.7838	−	17.9599i	−0.737440	−	0.789111i
$519$	14.4451	+	42.1948i	0.634071	+	1.85214i
$520$	8.80465	+	6.35381i	0.386109	+	0.278633i
$521$	3.20573			0.140445			0.0702227	−	0.997531i	$-0.477629\pi$
$521$	3.20573			0.140445			0.0702227	+	0.997531i	$0.477629\pi$
$522$	−23.9293	−	19.4759i	−1.04736	−	0.852438i
$523$	−28.1479	+	28.1479i	−1.23082	+	1.23082i	−0.267175	+	0.963648i	$0.586090\pi$
$523$	−28.1479	+	28.1479i	−1.23082	+	1.23082i	−0.963648	+	0.267175i	$0.913910\pi$
$524$	−13.0465	+	11.3903i	−0.569938	+	0.497588i
$525$	−21.9752	−	32.7046i	−0.959075	−	1.42734i
$526$	0.682313	−	20.1581i	0.0297502	−	0.878933i
$527$	−4.85760	−	8.41362i	−0.211601	−	0.366503i
$528$	−10.9114	+	9.53335i	−0.474858	+	0.414886i
$529$	21.3456	−	36.9717i	0.928070	−	1.60746i
$530$	3.44669	+	2.14860i	0.149715	+	0.0933293i
$531$	3.11714	−	24.6632i	0.135272	−	1.07029i
$532$	5.89533	−	17.2412i	0.255595	−	0.747501i
$533$	−0.340291	−	1.26998i	−0.0147396	−	0.0550091i
$534$	−29.4976	+	18.4033i	−1.27649	+	0.796390i
$535$	−10.5453	−	18.2650i	−0.455914	−	0.789666i
$536$	2.92032	−	7.68140i	0.126139	−	0.331786i
$537$	26.9318	+	23.4954i	1.16219	+	1.01390i
$538$	−0.992123	+	3.25757i	−0.0427735	+	0.140444i
$539$	−0.475101	−	0.475101i	−0.0204640	−	0.0204640i
$540$	−30.7607	−	23.3336i	−1.32373	−	1.00412i
$541$	14.6373	−	14.6373i	0.629307	−	0.629307i	−0.318586	−	0.947894i	$-0.603208\pi$
$541$	14.6373	−	14.6373i	0.629307	−	0.629307i	0.947894	+	0.318586i	$0.103208\pi$
$542$	11.9261	−	6.35760i	0.512269	−	0.273082i
$543$	−13.1947	+	15.1245i	−0.566241	+	0.649056i
$544$	−18.0115	−	14.9497i	−0.772235	−	0.640964i
$545$	31.1683	−	17.9950i	1.33510	−	0.770822i
$546$	1.47588	−	6.37228i	0.0631617	−	0.272709i
$547$	−17.0017	+	4.55558i	−0.726938	+	0.194783i	−0.603265	−	0.797541i	$-0.706134\pi$
$547$	−17.0017	+	4.55558i	−0.726938	+	0.194783i	−0.123673	+	0.992323i	$0.539467\pi$
$548$	14.6103	+	29.7933i	0.624120	+	1.27271i
$549$	−8.15186	−	19.3957i	−0.347913	−	0.827786i
$550$	5.88372	+	25.3612i	0.250882	+	1.08140i
$551$	−22.2022	−	12.8185i	−0.945847	−	0.546085i
$552$	18.6914	+	35.0317i	0.795560	+	1.49105i
$553$	−14.5999	+	8.42924i	−0.620850	+	0.358448i
$554$	2.13243	+	2.28185i	0.0905983	+	0.0969463i
$555$	−35.9237	+	24.1382i	−1.52487	+	1.02461i
$556$	10.7219	−	9.36078i	0.454708	−	0.396986i
$557$	8.32037	+	8.32037i	0.352546	+	0.352546i	0.861056	−	0.508510i	$-0.169804\pi$
$557$	8.32037	+	8.32037i	0.352546	+	0.352546i	−0.508510	+	0.861056i	$0.669804\pi$
$558$	−9.08992	−	4.07410i	−0.384807	−	0.172470i
$559$		−	1.55652i		−	0.0658337i
$560$	−35.4159	−	14.8543i	−1.49659	−	0.627710i
$561$	14.1809	−	4.85475i	0.598718	−	0.204968i
$562$	−23.3539	−	0.790486i	−0.985125	−	0.0333446i
$563$	21.6996	+	5.81439i	0.914529	+	0.245047i	0.685245	−	0.728312i	$-0.259695\pi$
$563$	21.6996	+	5.81439i	0.914529	+	0.245047i	0.229284	+	0.973360i	$0.426362\pi$
$564$	21.6442	−	12.5069i	0.911386	−	0.526637i
$565$	33.0482	−	8.85525i	1.39035	−	0.372543i
$566$	−2.41332	−	10.4024i	−0.101439	−	0.437245i
$567$	−5.78686	+	22.5275i	−0.243025	+	0.946067i
$568$	−1.89004	+	18.5560i	−0.0793042	+	0.778594i
$569$	−7.57037	+	13.1123i	−0.317367	+	0.549695i	−0.979938	−	0.199304i	$-0.936132\pi$
$569$	−7.57037	+	13.1123i	−0.317367	+	0.549695i	0.662571	+	0.748999i	$0.269465\pi$
$570$	−28.3158	−	15.0813i	−1.18602	−	0.631687i
$571$	32.9434	+	8.82715i	1.37864	+	0.369405i	0.870626	−	0.491945i	$-0.163714\pi$
$571$	32.9434	+	8.82715i	1.37864	+	0.369405i	0.508012	+	0.861350i	$0.330381\pi$
$572$	−2.40912	+	3.58823i	−0.100730	+	0.150031i
$573$	−8.72837	−	4.27630i	−0.364633	−	0.178645i
$574$	2.18766	+	4.10378i	0.0913113	+	0.171289i
$575$	71.3446			2.97528
$576$	−23.9463	−	1.60520i	−0.997761	−	0.0668834i
$577$	19.9524			0.830629			0.415315	−	0.909678i	$-0.363671\pi$
$577$	19.9524			0.830629			0.415315	+	0.909678i	$0.363671\pi$
$578$	0.0812117	+	0.152343i	0.00337796	+	0.00633663i
$579$	36.1505	−	24.2906i	1.50237	−	1.00948i
$580$	−30.1199	+	44.8616i	−1.25066	+	1.86278i
$581$	−19.9446	−	5.34414i	−0.827442	−	0.221712i
$582$	−1.09657	−	32.0476i	−0.0454544	−	1.32841i
$583$	−0.808347	+	1.40010i	−0.0334783	+	0.0579861i
$584$	2.51843	−	24.7254i	0.104213	−	1.02315i
$585$	−10.6625	−	4.35201i	−0.440841	−	0.179934i
$586$	−7.56491	−	32.6078i	−0.312503	−	1.34702i
$587$	−30.0156	+	8.04265i	−1.23887	+	0.331955i	−0.818029	−	0.575177i	$-0.804933\pi$
$587$	−30.0156	+	8.04265i	−1.23887	+	0.331955i	−0.420846	+	0.907132i	$0.638267\pi$
$588$	−0.000410121	−	1.11291i	−1.69131e−5	−	0.0458957i
$589$	−7.99501	−	2.14226i	−0.329429	−	0.0882701i
$590$	−43.5126	−	1.47282i	−1.79139	−	0.0606350i
$591$	7.96803	+	6.95136i	0.327761	+	0.285941i
$592$	−10.4058	+	24.8096i	−0.427675	+	1.01967i
$593$		−	38.3863i		−	1.57634i	−0.615460	−	0.788168i	$-0.711030\pi$
$593$		−	38.3863i		−	1.57634i	0.615460	−	0.788168i	$-0.288970\pi$
$594$	8.86837	−	12.5514i	0.363873	−	0.514991i
$595$	28.0924	+	28.0924i	1.15168	+	1.15168i
$596$	−5.64575	+	4.92906i	−0.231259	+	0.201902i
$597$	−1.72683	−	25.3409i	−0.0706745	−	1.03713i
$598$	8.08667	+	8.65328i	0.330688	+	0.353859i
$599$	−24.9602	+	14.4108i	−1.01985	+	0.588809i	−0.914060	−	0.405580i	$-0.867070\pi$
$599$	−24.9602	+	14.4108i	−1.01985	+	0.588809i	−0.105787	+	0.994389i	$0.533736\pi$
$600$	−22.7993	+	36.6036i	−0.930776	+	1.49434i
$601$	19.8695	+	11.4716i	0.810492	+	0.467938i	0.847127	−	0.531391i	$-0.178330\pi$
$601$	19.8695	+	11.4716i	0.810492	+	0.467938i	−0.0366348	+	0.999329i	$0.511664\pi$
$602$	1.24422	+	5.36307i	0.0507105	+	0.218582i
$603$	−1.09294	+	8.64749i	−0.0445080	+	0.352153i
$604$	2.38331	+	4.86005i	0.0969755	+	0.197753i
$605$	23.7786	−	6.37146i	0.966738	−	0.259037i
$606$	−7.31171	−	6.82789i	−0.297018	−	0.277364i
$607$	−16.8592	+	9.73364i	−0.684292	+	0.395076i	−0.801470	−	0.598035i	$-0.795949\pi$
$607$	−16.8592	+	9.73364i	−0.684292	+	0.395076i	0.117178	+	0.993111i	$0.462615\pi$
$608$	−19.8569	+	1.84449i	−0.805302	+	0.0748038i
$609$	31.9425	+	6.26782i	1.29437	+	0.253985i
$610$	−32.5153	+	17.3334i	−1.31651	+	0.701809i
$611$	5.27251	−	5.27251i	0.213303	−	0.213303i
$612$	22.2993	+	10.9149i	0.901396	+	0.441210i
$613$	−10.5918	−	10.5918i	−0.427797	−	0.427797i	0.460080	−	0.887877i	$-0.347821\pi$
$613$	−10.5918	−	10.5918i	−0.427797	−	0.427797i	−0.887877	+	0.460080i	$0.847821\pi$
$614$	7.54751	−	24.7817i	0.304593	−	1.00011i
$615$	7.74658	−	2.65200i	0.312372	−	0.106939i
$616$	5.43247	−	14.2892i	0.218881	−	0.575728i
$617$	9.33080	+	16.1614i	0.375644	+	0.650634i	0.990423	−	0.138065i	$-0.0440882\pi$
$617$	9.33080	+	16.1614i	0.375644	+	0.650634i	−0.614779	+	0.788699i	$0.710755\pi$
$618$	9.63666	+	5.13260i	0.387643	+	0.206463i
$619$	−5.62767	−	21.0028i	−0.226195	−	0.844172i	−0.981922	−	0.189285i	$-0.939383\pi$
$619$	−5.62767	−	21.0028i	−0.226195	−	0.844172i	0.755727	−	0.654887i	$-0.227284\pi$
$620$	−5.64434	+	16.5072i	−0.226682	+	0.662944i
$621$	−28.0134	−	31.4470i	−1.12414	−	1.26192i
$622$	5.18701	+	3.23348i	0.207980	+	0.129651i
$623$	18.3407	−	31.7671i	0.734807	−	1.27272i
$624$	−7.02381	+	1.38360i	−0.281178	+	0.0553885i
$625$	4.23597	+	7.33691i	0.169439	+	0.293477i
$626$	0.761565	−	22.4995i	0.0304383	−	0.899260i
$627$	5.61837	−	11.4677i	0.224376	−	0.457975i
$628$	−7.47773	+	6.52848i	−0.298394	+	0.260515i
$629$	19.6794	−	19.6794i	0.784667	−	0.784667i
$630$	40.2171	+	6.47193i	1.60229	+	0.257848i
$631$	26.5211			1.05579			0.527894	−	0.849310i	$-0.322982\pi$
$631$	26.5211			1.05579			0.527894	+	0.849310i	$0.322982\pi$
$632$	14.9618	+	10.7971i	0.595150	+	0.429486i
$633$	3.97072	+	0.779143i	0.157822	+	0.0309682i
$634$	28.7006	+	30.7116i	1.13985	+	1.21971i
$635$	4.57502	−	17.0742i	0.181554	−	0.677569i
$636$	−2.58636	+	0.694034i	−0.102556	+	0.0275203i
$637$	−0.0859183	−	0.320651i	−0.00340421	−	0.0127047i
$638$	−18.2525	−	11.3782i	−0.722622	−	0.450468i
$639$	−2.68379	−	19.6006i	−0.106169	−	0.775388i
$640$	1.04873	+	42.0193i	0.0414545	+	1.66096i
$641$	1.35222	+	0.780702i	0.0534093	+	0.0308359i	0.526467	−	0.850196i	$-0.323516\pi$
$641$	1.35222	+	0.780702i	0.0534093	+	0.0308359i	−0.473058	+	0.881032i	$0.656850\pi$
$642$	13.5469	+	3.13757i	0.534653	+	0.123830i
$643$	−9.02160	+	33.6691i	−0.355777	+	1.32778i	0.523726	+	0.851887i	$0.324542\pi$
$643$	−9.02160	+	33.6691i	−0.355777	+	1.32778i	−0.879503	+	0.475892i	$0.842125\pi$
$644$	−34.7801	−	23.3512i	−1.37053	−	0.920167i
$645$	9.67095	−	0.659018i	0.380793	−	0.0259488i
$646$	19.7348	+	6.01042i	0.776455	+	0.236477i
$647$			7.73678i			0.304164i	0.988368	+	0.152082i	$0.0485978\pi$
$647$			7.73678i			0.304164i	−0.988368	+	0.152082i	$0.951402\pi$
$648$	25.0861	−	4.32299i	0.985475	−	0.169823i
$649$		−	17.3300i		−	0.680264i
$650$	−3.74759	+	12.3050i	−0.146993	+	0.482640i
$651$	10.4852	−	0.714503i	0.410946	−	0.0280036i
$652$	23.3192	−	4.58468i	0.913251	−	0.179550i
$653$	3.81636	−	14.2429i	0.149346	−	0.557366i	−0.850178	−	0.526496i	$-0.823505\pi$
$653$	3.81636	−	14.2429i	0.149346	−	0.557366i	0.999523	−	0.0308703i	$-0.00982788\pi$
$654$	−5.35411	+	23.1170i	−0.209362	+	0.903948i
$655$	−27.8615	−	16.0858i	−1.08864	−	0.628526i
$656$	3.11634	−	4.02416i	0.121672	−	0.157117i
$657$	3.57608	+	26.1173i	0.139516	+	1.01893i
$658$	−13.9521	+	22.3813i	−0.543909	+	0.872515i
$659$	9.05703	+	33.8013i	0.352812	+	1.31671i	0.883216	+	0.468967i	$0.155374\pi$
$659$	9.05703	+	33.8013i	0.352812	+	1.31671i	−0.530404	+	0.847745i	$0.677960\pi$
$660$	−23.3144	−	13.4491i	−0.907510	−	0.523505i
$661$	−9.59389	+	35.8049i	−0.373159	+	1.39265i	0.482857	+	0.875699i	$0.339599\pi$
$661$	−9.59389	+	35.8049i	−0.373159	+	1.39265i	−0.856016	+	0.516949i	$0.827068\pi$
$662$	2.03364	−	1.90047i	0.0790395	−	0.0738640i
$663$	7.26698	+	1.42594i	0.282226	+	0.0553790i
$664$	3.60691	+	22.3088i	0.139975	+	0.865750i
$665$	33.8476			1.31255
$666$	4.53372	−	28.1729i	0.175678	−	1.09168i
$667$	−41.6777	+	41.6777i	−1.61377	+	1.61377i
$668$	1.11122	−	16.3960i	0.0429944	−	0.634380i
$669$	−21.9195	+	44.7399i	−0.847456	+	1.72975i
$670$	15.2565	+	0.516405i	0.589411	+	0.0199505i
$671$	−7.33342	−	12.7019i	−0.283103	−	0.490350i
$672$	23.0949	−	10.3818i	0.890906	−	0.400488i
$673$	−14.5046	+	25.1226i	−0.559109	+	0.968406i	0.438462	+	0.898750i	$0.355523\pi$
$673$	−14.5046	+	25.1226i	−0.559109	+	0.968406i	−0.997571	+	0.0696559i	$0.977810\pi$
$674$	14.1634	−	22.7204i	0.545556	−	0.875156i
$675$	14.3656	−	43.4248i	0.552931	−	1.67142i
$676$	21.4269	−	10.5075i	0.824113	−	0.404135i
$677$	−5.58517	−	20.8441i	−0.214655	−	0.801105i	−0.986288	−	0.165036i	$-0.947226\pi$
$677$	−5.58517	−	20.8441i	−0.214655	−	0.801105i	0.771632	−	0.636069i	$-0.219441\pi$
$678$	−10.6043	+	19.9101i	−0.407257	+	0.764643i
$679$	16.9157	+	29.2989i	0.649165	+	1.12439i
$680$	15.4518	−	40.6432i	0.592548	−	1.55859i
$681$	13.6906	−	4.68689i	0.524624	−	0.179602i
$682$	−6.64290	−	2.02316i	−0.254370	−	0.0774707i
$683$	19.1487	+	19.1487i	0.732704	+	0.732704i	0.971155	−	0.238451i	$-0.0766395\pi$
$683$	19.1487	+	19.1487i	0.732704	+	0.732704i	−0.238451	+	0.971155i	$0.576640\pi$
$684$	20.0093	−	6.85831i	0.765075	−	0.262234i
$685$	−43.5861	+	43.5861i	−1.66534	+	1.66534i
$686$	12.5873	+	23.6122i	0.480584	+	0.901516i
$687$	−32.6217	−	6.40110i	−1.24460	−	0.244217i
$688$	4.79662	−	3.64684i	0.182869	−	0.139035i
$689$	−0.691747	+	0.399380i	−0.0263534	+	0.0152152i
$690$	−50.3407	+	53.9078i	−1.91644	+	2.05223i
$691$	−32.7872	+	8.78531i	−1.24728	+	0.334209i	−0.821287	−	0.570516i	$-0.806743\pi$
$691$	−32.7872	+	8.78531i	−1.24728	+	0.334209i	−0.425997	+	0.904724i	$0.640077\pi$
$692$	−16.6618	+	48.7285i	−0.633388	+	1.85238i
$693$	−2.03312	+	16.0863i	−0.0772320	+	0.611070i
$694$	4.37014	−	1.01386i	0.165888	−	0.0384855i
$695$	22.8971	+	13.2197i	0.868538	+	0.501450i
$696$	−8.06415	−	34.7016i	−0.305671	−	1.31536i
$697$	−4.55978	+	2.63259i	−0.172714	+	0.0997165i
$698$	−17.1062	+	15.9861i	−0.647478	+	0.605081i
$699$	0.348870	+	5.11960i	0.0131955	+	0.193641i
$700$	3.07646	−	45.3931i	0.116279	−	1.71570i
$701$	28.6582	+	28.6582i	1.08240	+	1.08240i	0.996285	+	0.0861190i	$0.0274465\pi$
$701$	28.6582	+	28.6582i	1.08240	+	1.08240i	0.0861190	+	0.996285i	$0.472553\pi$
$702$	6.89522	−	3.17967i	0.260243	−	0.120009i
$703$		−	23.7109i		−	0.894275i
$704$	−16.7020	+	0.983015i	−0.629482	+	0.0370488i
$705$	34.9914	+	30.5268i	1.31785	+	1.14970i
$706$	1.08907	−	32.1753i	0.0409878	−	1.21093i
$707$	10.1951	+	2.73177i	0.383426	+	0.102739i
$708$	20.2901	−	20.3051i	0.762550	−	0.763112i
$709$	−8.00146	+	2.14398i	−0.300501	+	0.0805190i	−0.405919	−	0.913909i	$-0.633049\pi$
$709$	−8.00146	+	2.14398i	−0.300501	+	0.0805190i	0.105418	+	0.994428i	$0.466382\pi$
$710$	−33.7514	+	7.83023i	−1.26667	+	0.293863i
$711$	−18.1189	−	7.39543i	−0.679513	−	0.277350i
$712$	−39.9396	−	4.06808i	−1.49680	−	0.152458i
$713$	−9.51476	+	16.4800i	−0.356330	+	0.617182i
$714$	−26.1786	+	0.895755i	−0.979710	+	0.0335228i
$715$	−7.75484	−	2.07790i	−0.290014	−	0.0777091i
$716$	7.96131	+	40.4939i	0.297528	+	1.51333i
$717$	14.7903	−	9.93803i	0.552353	−	0.371142i
$718$	9.41192	−	5.01735i	0.351250	−	0.187246i
$719$	17.3387			0.646625			0.323312	−	0.946292i	$-0.395204\pi$
$719$	17.3387			0.646625			0.323312	+	0.946292i	$0.395204\pi$
$720$	−11.5704	−	43.0545i	−0.431205	−	1.60455i
$721$	−11.5193			−0.429001
$722$	−8.20159	+	4.37214i	−0.305231	+	0.162714i
$723$	−40.0431	−	19.6184i	−1.48922	−	0.729615i
$724$	−22.7409	+	4.47097i	−0.845158	+	0.166162i
$725$	−61.8325	−	16.5680i	−2.29640	−	0.615318i
$726$	−7.62995	+	14.3256i	−0.283174	+	0.531671i
$727$	25.1782	−	43.6100i	0.933809	−	1.61741i	0.157066	−	0.987588i	$-0.449796\pi$
$727$	25.1782	−	43.6100i	0.933809	−	1.61741i	0.776743	−	0.629817i	$-0.216870\pi$
$728$	5.85436	−	4.77201i	0.216977	−	0.176862i
$729$	−24.7812	+	10.7187i	−0.917824	+	0.396989i
$730$	44.9729	−	10.4336i	1.66452	−	0.386164i
$731$	−6.02084	+	1.61328i	−0.222689	+	0.0596693i
$732$	6.27907	−	23.4684i	0.232081	−	0.867417i
$733$	0.461357	+	0.123620i	0.0170406	+	0.00456602i	0.267329	−	0.963605i	$-0.413859\pi$
$733$	0.461357	+	0.123620i	0.0170406	+	0.00456602i	−0.250289	+	0.968171i	$0.580526\pi$
$734$	−1.13983	+	33.6750i	−0.0420720	+	1.24297i
$735$	1.95589	−	0.669588i	0.0721442	−	0.0246981i
$736$	−7.71958	+	45.1943i	−0.284548	+	1.66588i
$737$			6.07632i			0.223824i
$738$	−2.20797	+	4.92630i	−0.0812765	+	0.181340i
$739$	35.7895	+	35.7895i	1.31654	+	1.31654i	0.916499	+	0.400038i	$0.131003\pi$
$739$	35.7895	+	35.7895i	1.31654	+	1.31654i	0.400038	+	0.916499i	$0.368997\pi$
$740$	−49.8611	−	3.37928i	−1.83293	−	0.124225i
$741$	5.23689	−	3.51883i	0.192382	−	0.129267i
$742$	2.06420	−	1.92904i	0.0757793	−	0.0708173i
$743$	40.8564	−	23.5884i	1.49888	−	0.865376i	0.498877	−	0.866673i	$-0.333746\pi$
$743$	40.8564	−	23.5884i	1.49888	−	0.865376i	0.999999	+	0.00129681i	$0.000412789\pi$
$744$	−5.41456	−	10.1480i	−0.198507	−	0.372045i
$745$	−12.0568	−	6.96101i	−0.441728	−	0.255032i
$746$	12.6195	−	2.92769i	0.462034	−	0.107190i
$747$	−9.28722	−	22.0970i	−0.339801	−	0.808487i
$748$	16.3768	+	5.59975i	0.598794	+	0.204747i
$749$	−14.1710	+	3.79711i	−0.517798	+	0.138743i
$750$	−33.7118	−	7.80794i	−1.23098	−	0.285106i
$751$	12.6419	−	7.29878i	0.461308	−	0.266336i	−0.251286	−	0.967913i	$-0.580853\pi$
$751$	12.6419	−	7.29878i	0.461308	−	0.266336i	0.712594	+	0.701577i	$0.247520\pi$
$752$	28.6011	+	3.89471i	1.04298	+	0.142025i
$753$	−26.9994	+	30.9482i	−0.983914	+	1.12782i
$754$	−4.99899	−	9.37748i	−0.182053	−	0.341508i
$755$	−7.11001	+	7.11001i	−0.258760	+	0.258760i
$756$	−21.2161	+	16.4675i	−0.771624	+	0.598917i
$757$	22.1300	+	22.1300i	0.804329	+	0.804329i	0.983769	−	0.179440i	$-0.0574286\pi$
$757$	22.1300	+	22.1300i	0.804329	+	0.804329i	−0.179440	+	0.983769i	$0.557429\pi$
$758$	−1.21685	−	0.370604i	−0.0441981	−	0.0134609i
$759$	−22.1235	−	19.3007i	−0.803032	−	0.700570i
$760$	−15.1761	−	33.7934i	−0.550496	−	1.22581i
$761$	−13.0131	−	22.5393i	−0.471724	−	0.817050i	0.527753	−	0.849398i	$-0.323035\pi$
$761$	−13.0131	−	22.5393i	−0.471724	−	0.817050i	−0.999477	+	0.0323484i	$0.989701\pi$
$762$	6.16899	+	9.88790i	0.223479	+	0.358201i
$763$	−6.47957	−	24.1821i	−0.234576	−	0.875451i
$764$	−4.94156	−	10.0768i	−0.178779	−	0.364567i
$765$	−5.78288	+	45.7549i	−0.209080	+	1.65427i
$766$	10.1836	−	16.3360i	0.367947	−	0.590245i
$767$	4.28113	−	7.41513i	0.154583	−	0.267745i
$768$	−20.7202	−	18.4031i	−0.747676	−	0.664064i
$769$	−17.7312	−	30.7114i	−0.639404	−	1.10748i	−0.985564	−	0.169305i	$-0.945848\pi$
$769$	−17.7312	−	30.7114i	−0.639404	−	1.10748i	0.346159	−	0.938176i	$-0.387486\pi$
$770$	28.3807	+	0.960633i	1.02277	+	0.0346188i
$771$	−7.52724	−	11.2024i	−0.271087	−	0.403445i
$772$	50.1760	+	3.40062i	1.80587	+	0.122391i
$773$	−3.23556	+	3.23556i	−0.116375	+	0.116375i	−0.762896	−	0.646521i	$-0.776223\pi$
$773$	−3.23556	+	3.23556i	−0.116375	+	0.116375i	0.646521	+	0.762896i	$0.276223\pi$
$774$	−4.03430	+	4.95679i	−0.145010	+	0.178168i
$775$	−20.6672			−0.742388
$776$	21.6675	−	30.0253i	0.777819	−	1.07784i
$777$	9.75108	+	28.4833i	0.349818	+	1.02183i
$778$	−8.56033	+	7.99981i	−0.306903	+	0.286807i
$779$	−1.16100	+	4.33291i	−0.0415972	+	0.155243i
$780$	−6.65329	−	11.5140i	−0.238226	−	0.412268i
$781$	−3.56951	−	13.3216i	−0.127727	−	0.476683i
$782$	25.0906	−	40.2492i	0.897238	−	1.43931i
$783$	16.9757	+	33.7596i	0.606661	+	1.20647i
$784$	0.786827	−	1.01604i	0.0281010	−	0.0362871i
$785$	−15.9691	−	9.21977i	−0.569962	−	0.329068i
$786$	20.2889	−	6.18736i	0.723682	−	0.220696i
$787$	−6.55528	+	24.4646i	−0.233671	+	0.872070i	0.745073	+	0.666983i	$0.232415\pi$
$787$	−6.55528	+	24.4646i	−0.233671	+	0.872070i	−0.978744	+	0.205087i	$0.934252\pi$
$788$	2.35543	+	11.9805i	0.0839088	+	0.426789i
$789$	−10.8683	+	22.1833i	−0.386922	+	0.789747i
$790$	−9.98565	+	32.7872i	−0.355274	+	1.16652i
$791$		−	23.7997i		−	0.846221i
$792$	16.9722	−	5.18271i	0.603080	−	0.184160i
$793$		−	7.24645i		−	0.257329i
$794$	12.9959	+	3.95803i	0.461208	+	0.140465i
$795$	−2.77431	−	4.12886i	−0.0983945	−	0.146436i
$796$	16.3484	−	24.3499i	0.579454	−	0.863060i
$797$	8.15674	−	30.4414i	0.288927	−	1.07829i	−0.656995	−	0.753895i	$-0.728173\pi$
$797$	8.15674	−	30.4414i	0.288927	−	1.07829i	0.945922	−	0.324394i	$-0.105160\pi$
$798$	−15.2312	+	16.3105i	−0.539179	+	0.577384i
$799$	−25.8596	−	14.9300i	−0.914847	−	0.528187i
$800$	−46.6998	+	17.2812i	−1.65109	+	0.610982i
$801$	42.1879	−	5.77654i	1.49064	−	0.204104i
$802$	−6.94801	−	4.33125i	−0.245343	−	0.152942i
$803$	4.75628	+	17.7507i	0.167845	+	0.626407i
$804$	−7.11419	+	7.11944i	−0.250898	+	0.251083i
$805$	20.1408	−	75.1664i	0.709869	−	2.64927i
$806$	−2.34256	−	2.50669i	−0.0825130	−	0.0882945i
$807$	2.74175	−	3.14275i	0.0965143	−	0.110630i
$808$	−1.84374	−	11.4036i	−0.0648627	−	0.401177i
$809$	−46.7989			−1.64536			−0.822681	−	0.568503i	$-0.807523\pi$
$809$	−46.7989			−1.64536			−0.822681	+	0.568503i	$0.807523\pi$
$810$	22.6753	+	41.4951i	0.796729	+	1.45799i
$811$	32.5365	−	32.5365i	1.14251	−	1.14251i	0.154522	−	0.987989i	$-0.450616\pi$
$811$	32.5365	−	32.5365i	1.14251	−	1.14251i	0.987989	−	0.154522i	$-0.0493839\pi$
$812$	24.7203	+	28.3146i	0.867511	+	0.993649i
$813$	−16.5139	+	1.12533i	−0.579168	+	0.0394669i
$814$	0.672944	−	19.8813i	0.0235867	−	0.696839i
$815$	22.0734	+	38.2322i	0.773197	+	1.33922i
$816$	12.6319	+	25.7351i	0.442206	+	0.900908i
$817$	−2.65526	+	4.59904i	−0.0928956	+	0.160900i
$818$	15.9576	+	9.94767i	0.557945	+	0.347812i
$819$	−4.84382	+	6.38073i	−0.169257	+	0.222961i
$820$	8.94610	+	3.05896i	0.312411	+	0.106824i
$821$	2.76106	+	10.3044i	0.0963618	+	0.359627i	0.997222	−	0.0744814i	$-0.0237301\pi$
$821$	2.76106	+	10.3044i	0.0963618	+	0.359627i	−0.900861	+	0.434108i	$0.857063\pi$
$822$	−1.38978	−	40.6167i	−0.0484743	−	1.41667i
$823$	−9.53960	−	16.5231i	−0.332530	−	0.575958i	0.650478	−	0.759526i	$-0.274569\pi$
$823$	−9.53960	−	16.5231i	−0.332530	−	0.575958i	−0.983007	+	0.183567i	$0.941235\pi$
$824$	5.16486	+	11.5008i	0.179926	+	0.400651i
$825$	6.13964	−	31.2892i	0.213755	−	1.08935i
$826$	−8.82352	+	28.9714i	−0.307009	+	1.00804i
$827$	−11.6788	−	11.6788i	−0.406113	−	0.406113i	0.474268	−	0.880381i	$-0.342713\pi$
$827$	−11.6788	−	11.6788i	−0.406113	−	0.406113i	−0.880381	+	0.474268i	$0.842713\pi$
$828$	−3.32406	−	48.5163i	−0.115519	−	1.68606i
$829$	29.2209	−	29.2209i	1.01488	−	1.01488i	0.0149948	−	0.999888i	$-0.495227\pi$
$829$	29.2209	−	29.2209i	1.01488	−	1.01488i	0.999888	−	0.0149948i	$-0.00477317\pi$
$830$	−37.0439	+	19.7475i	−1.28581	+	0.685446i
$831$	−1.23890	−	3.61887i	−0.0429770	−	0.125537i
$832$	−7.38926	−	3.70538i	−0.256177	−	0.128461i
$833$	−1.15127	+	0.664689i	−0.0398893	+	0.0230301i
$834$	−16.6739	+	5.08490i	−0.577369	+	0.176076i
$835$	29.4867	−	7.90094i	1.02043	−	0.273423i
$836$	13.2393	−	6.49242i	0.457892	−	0.224545i
$837$	8.11495	+	9.10961i	0.280494	+	0.314874i
$838$	4.06809	+	17.5351i	0.140530	+	0.605740i
$839$	−4.64393	−	2.68117i	−0.160326	−	0.0925643i	0.417690	−	0.908589i	$-0.362840\pi$
$839$	−4.64393	−	2.68117i	−0.160326	−	0.0925643i	−0.578016	+	0.816025i	$0.696173\pi$
$840$	32.1281	+	34.3539i	1.10852	+	1.18532i
$841$	20.6847	−	11.9423i	0.713267	−	0.411805i
$842$	6.42252	+	6.87253i	0.221335	+	0.236843i
$843$	25.7003	+	12.5913i	0.885164	+	0.433669i
$844$	3.07294	+	3.51975i	0.105775	+	0.121155i
$845$	31.3465	+	31.3465i	1.07835	+	1.07835i
$846$	−30.4562	+	3.12481i	−1.04710	+	0.107433i
$847$		−	17.1242i		−	0.588394i
$848$	−2.85147	−	1.19598i	−0.0979199	−	0.0410702i
$849$	−2.51829	+	12.8339i	−0.0864276	+	0.440458i
$850$	51.4816	+	1.74256i	1.76581	+	0.0597692i
$851$	−52.6557	−	14.1090i	−1.80501	−	0.483652i
$852$	11.4147	−	19.7877i	0.391061	−	0.677915i
$853$	−21.9880	+	5.89168i	−0.752856	+	0.201727i	−0.614785	−	0.788695i	$-0.710757\pi$
$853$	−21.9880	+	5.89168i	−0.752856	+	0.201727i	−0.138072	+	0.990422i	$0.544090\pi$
$854$	5.79251	+	24.9680i	0.198216	+	0.854388i
$855$	24.0804	+	31.0480i	0.823533	+	1.06182i
$856$	10.1448	+	12.4458i	0.346743	+	0.425390i
$857$	21.7367	−	37.6490i	0.742510	−	1.28607i	−0.208839	−	0.977950i	$-0.566968\pi$
$857$	21.7367	−	37.6490i	0.742510	−	1.28607i	0.951349	−	0.308115i	$-0.0996983\pi$
$858$	4.49093	−	2.80186i	0.153318	−	0.0956538i
$859$	−1.83181	−	0.490831i	−0.0625005	−	0.0167469i	0.227433	−	0.973794i	$-0.426967\pi$
$859$	−1.83181	−	0.490831i	−0.0625005	−	0.0167469i	−0.289934	+	0.957047i	$0.593633\pi$
$860$	9.29277	+	6.23912i	0.316881	+	0.212752i
$861$	−0.387226	−	5.68246i	−0.0131966	−	0.193658i
$862$	24.8707	+	46.6543i	0.847099	+	1.58905i
$863$	−5.75112			−0.195770			−0.0978852	−	0.995198i	$-0.531208\pi$
$863$	−5.75112			−0.195770			−0.0978852	+	0.995198i	$0.531208\pi$
$864$	25.9537	+	13.7987i	0.882964	+	0.469441i
$865$	−95.6627			−3.25263
$866$	12.5444	+	23.5317i	0.426276	+	0.799641i
$867$	−0.0143748	−	0.210948i	−0.000488195	−	0.00716416i
$868$	10.0751	+	6.76441i	0.341973	+	0.229599i
$869$	−13.1779	−	3.53100i	−0.447029	−	0.119781i
$870$	56.1476	−	35.0301i	1.90358	−	1.18763i
$871$	−1.50106	+	2.59992i	−0.0508616	+	0.0880949i
$872$	−21.2381	+	17.3116i	−0.719214	+	0.586246i
$873$	−14.8411	+	36.3609i	−0.502294	+	1.23063i
$874$	−9.13205	−	39.3628i	−0.308896	−	1.33147i
$875$	35.2649	−	9.44921i	1.19217	−	0.319442i
$876$	−15.2098	+	26.3666i	−0.513892	+	0.890844i
$877$	39.6739	+	10.6306i	1.33969	+	0.358969i	0.856320	−	0.516446i	$-0.172745\pi$
$877$	39.6739	+	10.6306i	1.33969	+	0.358969i	0.483372	+	0.875415i	$0.339412\pi$
$878$	11.9172	+	0.403374i	0.402185	+	0.0136132i
$879$	−7.89396	+	40.2297i	−0.266257	+	1.35691i
$880$	−11.7659	−	28.7660i	−0.396627	−	0.969701i
$881$			7.20282i			0.242669i	0.992612	+	0.121335i	$0.0387174\pi$
$881$			7.20282i			0.242669i	−0.992612	+	0.121335i	$0.961283\pi$
$882$	−0.557478	+	1.24382i	−0.0187713	+	0.0418815i
$883$	−30.8474	−	30.8474i	−1.03810	−	1.03810i	−0.999245	−	0.0388519i	$-0.987630\pi$
$883$	−30.8474	−	30.8474i	−1.03810	−	1.03810i	−0.0388519	−	0.999245i	$-0.512370\pi$
$884$	5.62391	+	6.44164i	0.189153	+	0.216656i
$885$	47.8843	+	23.4600i	1.60961	+	0.788599i
$886$	9.20671	+	9.85181i	0.309306	+	0.330978i
$887$	34.5994	−	19.9760i	1.16173	−	0.670728i	0.210016	−	0.977698i	$-0.432649\pi$
$887$	34.5994	−	19.9760i	1.16173	−	0.670728i	0.951719	+	0.306970i	$0.0993152\pi$
$888$	24.0656	−	22.5064i	0.807589	−	0.755266i
$889$	−10.6487	−	6.14801i	−0.357145	−	0.206198i
$890$	−16.8536	−	72.6458i	−0.564934	−	2.43509i
$891$	−16.2023	+	9.57946i	−0.542796	+	0.320924i
$892$	−51.6519	+	25.3295i	−1.72943	+	0.848093i
$893$	−24.5730	+	6.58431i	−0.822304	+	0.220336i
$894$	8.77986	−	2.67753i	0.293643	−	0.0895499i
$895$	−66.3904	+	38.3305i	−2.21919	+	1.28125i
$896$	28.4220	+	6.86042i	0.949514	+	0.229191i
$897$	−4.69819	−	13.7236i	−0.156868	−	0.458218i
$898$	9.41399	−	5.01845i	0.314149	−	0.167468i
$899$	12.0732	−	12.0732i	0.402665	−	0.402665i
$900$	43.8273	−	29.4723i	1.46091	−	0.982410i
$901$	2.26183	+	2.26183i	0.0753526	+	0.0753526i
$902$	−1.09646	+	3.60014i	−0.0365080	+	0.119871i
$903$	1.29834	−	6.61666i	0.0432059	−	0.220189i
$904$	−23.7616	+	10.6710i	−0.790300	+	0.354912i
$905$	−21.5259	−	37.2840i	−0.715546	−	1.23936i
$906$	−0.226710	−	6.62563i	−0.00753192	−	0.220122i
$907$	11.6752	+	43.5725i	0.387670	+	1.44680i	0.833916	+	0.551892i	$0.186094\pi$
$907$	11.6752	+	43.5725i	0.387670	+	1.44680i	−0.446246	+	0.894910i	$0.647239\pi$
$908$	15.8105	+	5.40613i	0.524691	+	0.179409i
$909$	4.74735	+	11.2953i	0.157460	+	0.374642i
$910$	11.9062	+	7.42206i	0.394685	+	0.246039i
$911$	0.452588	−	0.783905i	0.0149949	−	0.0259719i	−0.858431	−	0.512930i	$-0.828560\pi$
$911$	0.452588	−	0.783905i	0.0149949	−	0.0259719i	0.873425	+	0.486958i	$0.161893\pi$
$912$	23.1135	+	7.89375i	0.765365	+	0.261388i
$913$	−8.35479	−	14.4709i	−0.276503	−	0.478917i
$914$	0.284641	−	8.40936i	0.00941508	−	0.278157i
$915$	45.0236	−	3.06809i	1.48843	−	0.101428i
$916$	−25.2459	−	28.9167i	−0.834148	−	0.955435i
$917$	−15.8244	+	15.8244i	−0.522566	+	0.522566i
$918$	−19.4461	−	23.3761i	−0.641817	−	0.771525i
$919$	−0.631829			−0.0208421			−0.0104211	−	0.999946i	$-0.503317\pi$
$919$	−0.631829			−0.0208421			−0.0104211	+	0.999946i	$0.503317\pi$
$920$	−84.0765	+	13.5936i	−2.77192	+	0.448167i
$921$	−20.8577	+	23.9082i	−0.687285	+	0.787803i
$922$	−23.7942	−	25.4614i	−0.783621	−	0.838528i
$923$	1.76359	−	6.58179i	0.0580492	−	0.216642i
$924$	−13.2341	+	13.2438i	−0.435368	+	0.435689i
$925$	−15.3233	−	57.1873i	−0.503826	−	1.88031i
$926$	−28.8496	−	17.9843i	−0.948057	−	0.591000i
$927$	−8.19525	−	10.5665i	−0.269167	−	0.347050i
$928$	17.1856	−	37.3760i	0.564144	−	1.22693i
$929$	−21.7169	−	12.5383i	−0.712509	−	0.411367i	0.0994805	−	0.995040i	$-0.468282\pi$
$929$	−21.7169	−	12.5383i	−0.712509	−	0.411367i	−0.811989	+	0.583672i	$0.801615\pi$
$930$	14.5828	−	15.6161i	0.478187	−	0.512071i
$931$	−0.293135	+	1.09399i	−0.00960711	+	0.0358542i
$932$	−3.30286	+	4.91939i	−0.108189	+	0.161140i
$933$	−4.17512	−	6.21362i	−0.136687	−	0.203425i
$934$	48.5392	+	14.7831i	1.58825	+	0.483717i
$935$			32.1505i			1.05143i
$936$	8.54232	+	1.97516i	0.279214	+	0.0645601i
$937$		−	40.0398i		−	1.30804i	−0.756476	−	0.654021i	$-0.773081\pi$
$937$		−	40.0398i		−	1.30804i	0.756476	−	0.654021i	$-0.226919\pi$
$938$	3.09373	−	10.1581i	0.101014	−	0.331672i
$939$	−12.1307	+	24.7600i	−0.395870	+	0.808011i
$940$	10.3438	+	52.6123i	0.337379	+	1.71602i
$941$	−2.78273	+	10.3853i	−0.0907146	+	0.338551i	−0.996335	−	0.0855380i	$-0.972739\pi$
$941$	−2.78273	+	10.3853i	−0.0907146	+	0.338551i	0.905620	+	0.424089i	$0.139406\pi$
$942$	11.6288	−	3.54635i	0.378888	−	0.115546i
$943$	8.93140	+	5.15654i	0.290846	+	0.167920i
$944$	32.8812	−	4.18042i	1.07019	−	0.136061i
$945$	−41.6955	−	27.3940i	−1.35636	−	0.891128i
$946$	−2.35692	+	3.78087i	−0.0766301	+	0.122927i
$947$	−10.0828	−	37.6297i	−0.327648	−	1.22280i	−0.911623	−	0.411028i	$-0.865170\pi$
$947$	−10.0828	−	37.6297i	−0.327648	−	1.22280i	0.583975	−	0.811772i	$-0.301497\pi$
$948$	−11.3060	−	19.5659i	−0.367202	−	0.635472i
$949$	−2.34993	+	8.77007i	−0.0762821	+	0.284689i
$950$	32.0639	−	29.9644i	1.04029	−	0.972174i
$951$	−16.6745	−	48.7069i	−0.540708	−	1.57943i
$952$	−24.5267	−	17.6995i	−0.794914	−	0.573644i
$953$	7.83389			0.253765			0.126882	−	0.991918i	$-0.459503\pi$
$953$	7.83389			0.253765			0.126882	+	0.991918i	$0.459503\pi$
$954$	3.23804	+	0.521080i	0.104835	+	0.0168706i
$955$	14.7419	−	14.7419i	0.477037	−	0.477037i
$956$	20.5285	+	1.39130i	0.663939	+	0.0449977i
$957$	14.6917	+	21.8650i	0.474916	+	0.706794i
$958$	1.40958	+	0.0477116i	0.0455415	+	0.00154149i
$959$	21.4388	+	37.1331i	0.692295	+	1.19909i
$960$	19.8937	−	47.4798i	0.642066	−	1.53240i
$961$	−12.7438	+	22.0728i	−0.411089	+	0.712027i
$962$	5.19931	−	8.34051i	0.167633	−	0.268909i
$963$	−13.5648	−	10.2975i	−0.437121	−	0.331833i
$964$	−22.6704	−	46.2295i	−0.730163	−	1.48895i
$965$	24.1789	+	90.2370i	0.778347	+	2.90483i
$966$	27.1580	+	43.5299i	0.873793	+	1.40055i
$967$	22.1358	+	38.3403i	0.711839	+	1.23294i	0.964166	+	0.265299i	$0.0854706\pi$
$967$	22.1358	+	38.3403i	0.711839	+	1.23294i	−0.252328	+	0.967642i	$0.581196\pi$
$968$	−17.0968	+	7.67792i	−0.549511	+	0.246778i
$969$	−19.0392	−	16.6099i	−0.611627	−	0.533588i
$970$	65.7970	+	20.0391i	2.11261	+	0.643417i
$971$	−28.0737	−	28.0737i	−0.900928	−	0.900928i	0.0945888	−	0.995516i	$-0.469846\pi$
$971$	−28.0737	−	28.0737i	−0.900928	−	0.900928i	−0.995516	+	0.0945888i	$0.969846\pi$
$972$	−30.1994	−	7.74575i	−0.968646	−	0.248445i
$973$	13.0048	−	13.0048i	0.416914	−	0.416914i
$974$	12.5335	+	23.5113i	0.401600	+	0.753351i
$975$	10.3566	−	11.8712i	0.331675	−	0.380184i
$976$	22.3309	−	16.9781i	0.714794	−	0.543454i
$977$	−14.8614	+	8.58022i	−0.475458	+	0.274506i	−0.718522	−	0.695505i	$-0.755181\pi$
$977$	−14.8614	+	8.58022i	−0.475458	+	0.274506i	0.243064	+	0.970010i	$0.421848\pi$
$978$	−28.3562	−	6.56755i	−0.906732	−	0.210007i
$979$	28.6731	−	7.68293i	0.916396	−	0.245547i
$980$	2.25875	+	0.772342i	0.0721533	+	0.0246715i
$981$	17.5722	−	23.1477i	0.561036	−	0.739048i
$982$	−0.763058	+	0.177027i	−0.0243502	+	0.00564916i
$983$	−26.8455	−	15.4993i	−0.856240	−	0.494350i	0.00651160	−	0.999979i	$-0.497927\pi$
$983$	−26.8455	−	15.4993i	−0.856240	−	0.494350i	−0.862751	+	0.505629i	$0.831261\pi$
$984$	−5.49975	+	2.93443i	−0.175325	+	0.0935463i
$985$	−19.6423	+	11.3405i	−0.625854	+	0.361337i
$986$	−31.0922	+	29.0563i	−0.990177	+	0.925340i
$987$	26.8110	−	18.0151i	0.853405	−	0.573428i
$988$	7.26867	+	0.492626i	0.231247	+	0.0156725i
$989$	8.63324	+	8.63324i	0.274521	+	0.274521i
$990$	19.3099	+	26.7167i	0.613709	+	0.849113i
$991$		−	37.2374i		−	1.18289i	−0.806347	−	0.591443i	$-0.798558\pi$
$991$		−	37.2374i		−	1.18289i	0.806347	−	0.591443i	$-0.201442\pi$
$992$	2.23622	−	13.0919i	0.0710000	−	0.415670i
$993$	−3.22523	+	1.10414i	−0.102349	+	0.0350387i
$994$	−0.815322	+	24.0877i	−0.0258604	+	0.764014i
$995$	52.6247	+	14.1008i	1.66832	+	0.447024i
$996$	7.15359	−	26.7370i	0.226670	−	0.847193i
$997$	13.9293	−	3.73234i	0.441145	−	0.118204i	−0.0314082	−	0.999507i	$-0.509999\pi$
$997$	13.9293	−	3.73234i	0.441145	−	0.118204i	0.472553	+	0.881302i	$0.343333\pi$
$998$	−60.1687	+	13.9590i	−1.90461	+	0.441863i
$999$	−19.1901	+	29.2086i	−0.607148	+	0.924120i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.2.u.a.11.9	✓	88
3.2	odd	2		432.2.v.a.251.14		88
4.3	odd	2		576.2.y.a.335.10		88
9.4	even	3		432.2.v.a.395.21		88
9.5	odd	6	inner	144.2.u.a.59.2	yes	88
12.11	even	2		1728.2.z.a.143.21		88
16.3	odd	4	inner	144.2.u.a.83.2	yes	88
16.13	even	4		576.2.y.a.47.1		88
36.23	even	6		576.2.y.a.527.1		88
36.31	odd	6		1728.2.z.a.719.21		88
48.29	odd	4		1728.2.z.a.1007.21		88
48.35	even	4		432.2.v.a.35.21		88
144.13	even	12		1728.2.z.a.1583.21		88
144.67	odd	12		432.2.v.a.179.14		88
144.77	odd	12		576.2.y.a.239.10		88
144.131	even	12	inner	144.2.u.a.131.9	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.2.u.a.11.9	✓	88	1.1	even	1	trivial
144.2.u.a.59.2	yes	88	9.5	odd	6	inner
144.2.u.a.83.2	yes	88	16.3	odd	4	inner
144.2.u.a.131.9	yes	88	144.131	even	12	inner
432.2.v.a.35.21		88	48.35	even	4
432.2.v.a.179.14		88	144.67	odd	12
432.2.v.a.251.14		88	3.2	odd	2
432.2.v.a.395.21		88	9.4	even	3
576.2.y.a.47.1		88	16.13	even	4
576.2.y.a.239.10		88	144.77	odd	12
576.2.y.a.335.10		88	4.3	odd	2
576.2.y.a.527.1		88	36.23	even	6
1728.2.z.a.143.21		88	12.11	even	2
1728.2.z.a.719.21		88	36.31	odd	6
1728.2.z.a.1007.21		88	48.29	odd	4
1728.2.z.a.1583.21		88	144.13	even	12

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 144 = 2^{4} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	144.u (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.665270 - 1.24796i) q^{2} +(0.117756 + 1.72804i) q^{3} +(-1.11483 + 1.66047i) q^{4} +(-3.58858 - 0.961558i) q^{5} +(2.07820 - 1.29657i) q^{6} +(-1.29216 + 2.23809i) q^{7} +(2.81387 + 0.286608i) q^{8} +(-2.97227 + 0.406975i) q^{9} +(1.18739 + 5.11812i) q^{10} +(-2.02011 + 0.541286i) q^{11} +(-3.00064 - 1.73095i) q^{12} +(-0.998074 - 0.267433i) q^{13} +(3.65269 + 0.123637i) q^{14} +(1.23904 - 6.31446i) q^{15} +(-1.51431 - 3.70228i) q^{16} +4.13788i q^{17} +(2.48525 + 3.43854i) q^{18} +(2.49279 + 2.49279i) q^{19} +(5.59730 - 4.88675i) q^{20} +(-4.01968 - 1.96936i) q^{21} +(2.01942 + 2.16092i) q^{22} +(7.01915 - 4.05251i) q^{23} +(-0.163922 + 4.89624i) q^{24} +(7.62322 + 4.40127i) q^{25} +(0.330242 + 1.42348i) q^{26} +(-1.05327 - 5.08828i) q^{27} +(-2.27574 - 4.64068i) q^{28} +(-7.02439 + 1.88218i) q^{29} +(-8.70451 + 2.65455i) q^{30} +(-2.03331 + 1.17393i) q^{31} +(-3.61289 + 4.35282i) q^{32} +(-1.17324 - 3.42709i) q^{33} +(5.16393 - 2.75281i) q^{34} +(6.78909 - 6.78909i) q^{35} +(2.63781 - 5.38906i) q^{36} +(-4.75590 - 4.75590i) q^{37} +(1.45254 - 4.76930i) q^{38} +(0.344607 - 1.75621i) q^{39} +(-9.82221 - 3.73422i) q^{40} +(0.636217 + 1.10196i) q^{41} +(0.216477 + 6.32657i) q^{42} +(0.389880 + 1.45505i) q^{43} +(1.35329 - 3.95776i) q^{44} +(11.0576 + 1.39754i) q^{45} +(-9.72701 - 6.06363i) q^{46} +(-3.60814 + 6.24948i) q^{47} +(6.21938 - 3.05275i) q^{48} +(0.160635 + 0.278228i) q^{49} +(0.421123 - 12.4415i) q^{50} +(-7.15044 + 0.487260i) q^{51} +(1.55675 - 1.35913i) q^{52} +(0.546616 - 0.546616i) q^{53} +(-5.64928 + 4.69953i) q^{54} +7.76980 q^{55} +(-4.27743 + 5.92735i) q^{56} +(-4.01411 + 4.60119i) q^{57} +(7.02201 + 7.51403i) q^{58} +(-2.14469 + 8.00411i) q^{59} +(9.10364 + 9.09693i) q^{60} +(1.81511 + 6.77407i) q^{61} +(2.81773 + 1.75652i) q^{62} +(2.92980 - 7.17808i) q^{63} +(7.83571 + 1.61296i) q^{64} +(3.32452 + 1.91941i) q^{65} +(-3.49636 + 3.74411i) q^{66} +(0.751980 - 2.80643i) q^{67} +(-6.87082 - 4.61304i) q^{68} +(7.82945 + 11.6522i) q^{69} +(-12.9891 - 3.95596i) q^{70} +6.59449i q^{71} +(-8.48021 + 0.293297i) q^{72} -8.78699i q^{73} +(-2.77123 + 9.09915i) q^{74} +(-6.70790 + 13.6915i) q^{75} +(-6.91824 + 1.36016i) q^{76} +(1.39886 - 5.22061i) q^{77} +(-2.42094 + 0.738296i) q^{78} +(5.64940 + 3.26168i) q^{79} +(1.87426 + 14.7420i) q^{80} +(8.66874 - 2.41928i) q^{81} +(0.951950 - 1.52708i) q^{82} +(2.06791 + 7.71754i) q^{83} +(7.75132 - 4.47904i) q^{84} +(3.97882 - 14.8491i) q^{85} +(1.55648 - 1.45456i) q^{86} +(-4.07965 - 11.9168i) q^{87} +(-5.83945 + 0.944128i) q^{88} -14.1938 q^{89} +(-5.61218 - 14.7292i) q^{90} +(1.88821 - 1.88821i) q^{91} +(-1.09610 + 16.1729i) q^{92} +(-2.26805 - 3.37542i) q^{93} +(10.1995 + 0.345234i) q^{94} +(-6.54863 - 11.3426i) q^{95} +(-7.94730 - 5.73066i) q^{96} +(6.54551 - 11.3372i) q^{97} +(0.240353 - 0.385564i) q^{98} +(5.78401 - 2.43098i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{10} - 6 q^{11} - 16 q^{12} - 2 q^{13} - 6 q^{14} - 2 q^{16} - 10 q^{18} - 8 q^{19} - 48 q^{20} + 2 q^{21} - 2 q^{22} - 12 q^{23} - 16 q^{27}+ \cdots + 46 q^{99}+O(q^{100}) \) 88 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 + 2 * q^6 - 4 * q^7 - 8 * q^10 - 6 * q^11 - 16 * q^12 - 2 * q^13 - 6 * q^14 - 2 * q^16 - 10 * q^18 - 8 * q^19 - 48 * q^20 + 2 * q^21 - 2 * q^22 - 12 * q^23 - 16 * q^27 + 8 * q^28 - 6 * q^29 - 34 * q^30 - 6 * q^32 - 8 * q^33 + 2 * q^34 - 26 * q^36 - 8 * q^37 - 6 * q^38 - 32 * q^39 - 2 * q^40 + 48 * q^42 - 2 * q^43 + 6 * q^45 - 40 * q^46 + 42 * q^48 - 24 * q^49 + 72 * q^50 - 12 * q^51 - 2 * q^52 - 38 * q^54 - 16 * q^55 + 36 * q^56 + 16 * q^58 - 42 * q^59 + 70 * q^60 - 2 * q^61 - 44 * q^64 - 12 * q^65 + 104 * q^66 - 2 * q^67 + 96 * q^68 - 10 * q^69 - 16 * q^70 - 10 * q^72 + 78 * q^74 - 56 * q^75 - 14 * q^76 - 6 * q^77 + 12 * q^78 - 8 * q^81 - 36 * q^82 + 54 * q^83 + 158 * q^84 + 8 * q^85 + 54 * q^86 + 48 * q^87 + 22 * q^88 + 64 * q^90 + 20 * q^91 + 108 * q^92 - 34 * q^93 + 6 * q^94 - 58 * q^96 - 4 * q^97 + 46 * q^99

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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