LMFDB - Embedded newform 840.2.dc.e.53.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [840,2,Mod(53,840)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(840, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([0, 6, 6, 9, 8])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("840.53"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 840 = 2^{3} \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	840.dc (of order $12$, degree $4$, minimal)

Newform invariants

comment:select newform

sage:traces = [704,0,0,0,0] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(5)] == traces)

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

Self dual:	no
Analytic conductor:	$6.70743376979$
Analytic rank:	$0$
Dimension:	$704$
Relative dimension:	$176$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			53.5
Character	$\chi$	$=$	840.53
Dual form			840.2.dc.e.317.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.40857 + 0.126222i) q^{2} +(1.11026 - 1.32941i) q^{3} +(1.96814 - 0.355585i) q^{4} +(1.61503 - 1.54650i) q^{5} +(-1.39607 + 2.01271i) q^{6} +(-2.64070 - 0.163401i) q^{7} +(-2.72737 + 0.749289i) q^{8} +(-0.534667 - 2.95197i) q^{9} +(-2.07968 + 2.38221i) q^{10} +(-2.26343 + 3.92037i) q^{11} +(1.71241 - 3.01125i) q^{12} +(0.229579 - 0.229579i) q^{13} +(3.74024 - 0.103154i) q^{14} +(-0.262840 - 3.86405i) q^{15} +(3.74712 - 1.39968i) q^{16} +(-6.05216 + 1.62167i) q^{17} +(1.12572 + 4.09057i) q^{18} +(-3.28122 - 5.68324i) q^{19} +(2.62869 - 3.61801i) q^{20} +(-3.14908 + 3.32916i) q^{21} +(2.69336 - 5.80781i) q^{22} +(-5.55149 - 1.48752i) q^{23} +(-2.03197 + 4.45770i) q^{24} +(0.216658 - 4.99530i) q^{25} +(-0.294400 + 0.352356i) q^{26} +(-4.51800 - 2.56665i) q^{27} +(-5.25536 + 0.617400i) q^{28} -0.429607i q^{29} +(0.857958 + 5.40961i) q^{30} +(2.50770 - 4.34346i) q^{31} +(-5.10141 + 2.44452i) q^{32} +(2.69880 + 7.36164i) q^{33} +(8.32019 - 3.04815i) q^{34} +(-4.51752 + 3.81995i) q^{35} +(-2.10197 - 5.61976i) q^{36} +(-0.269605 + 1.00618i) q^{37} +(5.33918 + 7.59108i) q^{38} +(-0.0503136 - 0.560097i) q^{39} +(-3.24602 + 5.42802i) q^{40} +2.07585i q^{41} +(4.01548 - 5.08684i) q^{42} +(-1.23989 + 1.23989i) q^{43} +(-3.06070 + 8.52066i) q^{44} +(-5.42874 - 3.94066i) q^{45} +(8.00742 + 1.39455i) q^{46} +(1.96466 - 7.33221i) q^{47} +(2.29951 - 6.53546i) q^{48} +(6.94660 + 0.862984i) q^{49} +(0.325341 + 7.06358i) q^{50} +(-4.56357 + 9.84627i) q^{51} +(0.370208 - 0.533478i) q^{52} +(11.2309 - 3.00932i) q^{53} +(6.68788 + 3.04503i) q^{54} +(2.40736 + 9.83192i) q^{55} +(7.32461 - 1.53299i) q^{56} +(-11.1984 - 1.94776i) q^{57} +(0.0542259 + 0.605131i) q^{58} +(-1.56340 - 0.902632i) q^{59} +(-1.89131 - 7.51152i) q^{60} +(12.1211 - 6.99814i) q^{61} +(-2.98403 + 6.43459i) q^{62} +(0.929542 + 7.88264i) q^{63} +(6.87713 - 4.08718i) q^{64} +(0.0157329 - 0.725823i) q^{65} +(-4.73065 - 10.0287i) q^{66} +(1.44231 - 0.386465i) q^{67} +(-11.3348 + 5.34373i) q^{68} +(-8.14109 + 5.72869i) q^{69} +(5.88107 - 5.95088i) q^{70} +15.8264i q^{71} +(3.67012 + 7.65051i) q^{72} +(-13.7419 + 3.68214i) q^{73} +(0.252755 - 1.45130i) q^{74} +(-6.40027 - 5.83409i) q^{75} +(-8.47877 - 10.0186i) q^{76} +(6.61762 - 9.98268i) q^{77} +(0.141567 + 0.782584i) q^{78} +(-4.85675 + 2.80405i) q^{79} +(3.88711 - 8.05546i) q^{80} +(-8.42826 + 3.15664i) q^{81} +(-0.262019 - 2.92398i) q^{82} +(-4.47966 - 4.47966i) q^{83} +(-5.01401 + 7.67201i) q^{84} +(-7.26651 + 11.9787i) q^{85} +(1.58998 - 1.90298i) q^{86} +(-0.571124 - 0.476973i) q^{87} +(3.23572 - 12.3883i) q^{88} +(-4.03760 - 6.99333i) q^{89} +(8.14415 + 4.86547i) q^{90} +(-0.643763 + 0.568737i) q^{91} +(-11.4550 - 0.953607i) q^{92} +(-2.99006 - 8.15611i) q^{93} +(-1.84187 + 10.5759i) q^{94} +(-14.0884 - 4.10420i) q^{95} +(-2.41409 + 9.49590i) q^{96} +(5.18418 - 5.18418i) q^{97} +(-9.89370 - 0.338757i) q^{98} +(12.7830 + 4.58548i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 704 q - 16 q^{6} - 24 q^{7} + 12 q^{10} + 10 q^{12} + 32 q^{15} - 72 q^{16} + 6 q^{18} + 64 q^{22} - 8 q^{25} + 24 q^{28} + 8 q^{30} - 16 q^{31} + 44 q^{33} - 240 q^{36} + 16 q^{40} - 78 q^{42} - 8 q^{46}+ \cdots - 80 q^{97}+O(q^{100}) $ 704 * q - 16 * q^6 - 24 * q^7 + 12 * q^10 + 10 * q^12 + 32 * q^15 - 72 * q^16 + 6 * q^18 + 64 * q^22 - 8 * q^25 + 24 * q^28 + 8 * q^30 - 16 * q^31 + 44 * q^33 - 240 * q^36 + 16 * q^40 - 78 * q^42 - 8 * q^46 - 20 * q^48 - 60 * q^52 + 272 * q^55 + 8 * q^57 - 20 * q^58 - 14 * q^60 + 12 * q^63 - 84 * q^66 + 112 * q^70 - 38 * q^72 + 104 * q^73 - 64 * q^76 - 16 * q^78 - 168 * q^81 - 72 * q^82 - 64 * q^87 + 52 * q^88 - 44 * q^90 + 40 * q^96 - 80 * q^97

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/840\mathbb{Z}\right)^\times$.

$n$	$241$	$281$	$337$	$421$	$631$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{3}{4}\right)$	$-1$	$1$

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 $

$2$	−1.40857	+	0.126222i	−0.996009	+	0.0892526i
$2$	−1.40857	+	0.126222i	−0.996009	+	0.0892526i
$3$	1.11026	−	1.32941i	0.641006	−	0.767536i
$3$	1.11026	−	1.32941i	0.641006	−	0.767536i
$4$	1.96814	−	0.355585i	0.984068	−	0.177793i
$5$	1.61503	−	1.54650i	0.722264	−	0.691617i
$5$	1.61503	−	1.54650i	0.722264	−	0.691617i
$6$	−1.39607	+	2.01271i	−0.569943	+	0.821684i
$7$	−2.64070	−	0.163401i	−0.998091	−	0.0617596i
$7$	−2.64070	−	0.163401i	−0.998091	−	0.0617596i
$8$	−2.72737	+	0.749289i	−0.964272	+	0.264914i
$9$	−0.534667	−	2.95197i	−0.178222	−	0.983990i
$10$	−2.07968	+	2.38221i	−0.657653	+	0.753321i
$11$	−2.26343	+	3.92037i	−0.682449	+	1.18204i	0.291782	+	0.956485i	$0.405752\pi$
$11$	−2.26343	+	3.92037i	−0.682449	+	1.18204i	−0.974231	+	0.225551i	$0.927582\pi$
$12$	1.71241	−	3.01125i	0.494331	−	0.869274i
$13$	0.229579	−	0.229579i	0.0636738	−	0.0636738i	−0.674553	−	0.738227i	$-0.735664\pi$
$13$	0.229579	−	0.229579i	0.0636738	−	0.0636738i	0.738227	+	0.674553i	$0.235664\pi$
$14$	3.74024	−	0.103154i	0.999620	−	0.0275691i
$15$	−0.262840	−	3.86405i	−0.0678650	−	0.997695i
$16$	3.74712	−	1.39968i	0.936779	−	0.349920i
$17$	−6.05216	+	1.62167i	−1.46786	+	0.393313i	−0.902198	−	0.431322i	$-0.858047\pi$
$17$	−6.05216	+	1.62167i	−1.46786	+	0.393313i	−0.565665	+	0.824635i	$0.691381\pi$
$18$	1.12572	+	4.09057i	0.265335	+	0.964156i
$19$	−3.28122	−	5.68324i	−0.752764	−	1.30383i	−0.946478	−	0.322767i	$-0.895387\pi$
$19$	−3.28122	−	5.68324i	−0.752764	−	1.30383i	0.193714	−	0.981058i	$-0.437947\pi$
$20$	2.62869	−	3.61801i	0.587793	−	0.809012i
$21$	−3.14908	+	3.32916i	−0.687185	+	0.726482i
$22$	2.69336	−	5.80781i	0.574225	−	1.23823i
$23$	−5.55149	−	1.48752i	−1.15757	−	0.310169i	−0.371572	−	0.928404i	$-0.621181\pi$
$23$	−5.55149	−	1.48752i	−1.15757	−	0.310169i	−0.785993	+	0.618235i	$0.787848\pi$
$24$	−2.03197	+	4.45770i	−0.414774	+	0.909925i
$25$	0.216658	−	4.99530i	0.0433316	−	0.999061i
$26$	−0.294400	+	0.352356i	−0.0577367	+	0.0691028i
$27$	−4.51800	−	2.56665i	−0.869489	−	0.493952i
$28$	−5.25536	+	0.617400i	−0.993170	+	0.116678i
$29$		−	0.429607i		−	0.0797760i	−0.999204	−	0.0398880i	$-0.987300\pi$
$29$		−	0.429607i		−	0.0797760i	0.999204	−	0.0398880i	$-0.0127001\pi$
$30$	0.857958	+	5.40961i	0.156641	+	0.987656i
$31$	2.50770	−	4.34346i	0.450396	−	0.780109i	−0.548015	−	0.836469i	$-0.684616\pi$
$31$	2.50770	−	4.34346i	0.450396	−	0.780109i	0.998410	+	0.0563602i	$0.0179495\pi$
$32$	−5.10141	+	2.44452i	−0.901810	+	0.432134i
$33$	2.69880	+	7.36164i	0.469801	+	1.28150i
$34$	8.32019	−	3.04815i	1.42690	−	0.522754i
$35$	−4.51752	+	3.81995i	−0.763600	+	0.645690i
$36$	−2.10197	−	5.61976i	−0.350329	−	0.936627i
$37$	−0.269605	+	1.00618i	−0.0443228	+	0.165415i	−0.984540	−	0.175161i	$-0.943955\pi$
$37$	−0.269605	+	1.00618i	−0.0443228	+	0.165415i	0.940217	+	0.340576i	$0.110622\pi$
$38$	5.33918	+	7.59108i	0.866129	+	1.23144i
$39$	−0.0503136	−	0.560097i	−0.00805663	−	0.0896873i
$40$	−3.24602	+	5.42802i	−0.513240	+	0.858245i
$41$			2.07585i			0.324194i	0.986775	+	0.162097i	$0.0518257\pi$
$41$			2.07585i			0.324194i	−0.986775	+	0.162097i	$0.948174\pi$
$42$	4.01548	−	5.08684i	0.619602	−	0.784916i
$43$	−1.23989	+	1.23989i	−0.189082	+	0.189082i	−0.795299	−	0.606217i	$-0.792686\pi$
$43$	−1.23989	+	1.23989i	−0.189082	+	0.189082i	0.606217	+	0.795299i	$0.292686\pi$
$44$	−3.06070	+	8.52066i	−0.461419	+	1.28454i
$45$	−5.42874	−	3.94066i	−0.809268	−	0.587439i
$46$	8.00742	+	1.39455i	1.18063	+	0.205615i
$47$	1.96466	−	7.33221i	0.286575	−	1.06951i	−0.661105	−	0.750293i	$-0.729912\pi$
$47$	1.96466	−	7.33221i	0.286575	−	1.06951i	0.947681	−	0.319220i	$-0.103421\pi$
$48$	2.29951	−	6.53546i	0.331905	−	0.943313i
$49$	6.94660	+	0.862984i	0.992372	+	0.123283i
$50$	0.325341	+	7.06358i	0.0460101	+	0.998941i
$51$	−4.56357	+	9.84627i	−0.639028	+	1.37875i
$52$	0.370208	−	0.533478i	0.0513386	−	0.0739801i
$53$	11.2309	−	3.00932i	1.54269	−	0.413362i	0.615554	−	0.788095i	$-0.288932\pi$
$53$	11.2309	−	3.00932i	1.54269	−	0.413362i	0.927133	+	0.374733i	$0.122266\pi$
$54$	6.68788	+	3.04503i	0.910106	+	0.414376i
$55$	2.40736	+	9.83192i	0.324608	+	1.32574i
$56$	7.32461	−	1.53299i	0.978792	−	0.204855i
$57$	−11.1984	−	1.94776i	−1.48326	−	0.257987i
$58$	0.0542259	+	0.605131i	0.00712021	+	0.0794576i
$59$	−1.56340	−	0.902632i	−0.203538	−	0.117513i	0.394767	−	0.918781i	$-0.370825\pi$
$59$	−1.56340	−	0.902632i	−0.203538	−	0.117513i	−0.598305	+	0.801269i	$0.704159\pi$
$60$	−1.89131	−	7.51152i	−0.244167	−	0.969733i
$61$	12.1211	−	6.99814i	1.55195	−	0.896020i	0.553969	−	0.832537i	$-0.313113\pi$
$61$	12.1211	−	6.99814i	1.55195	−	0.896020i	0.997983	−	0.0634829i	$-0.0202208\pi$
$62$	−2.98403	+	6.43459i	−0.378972	+	0.817194i
$63$	0.929542	+	7.88264i	0.117111	+	0.993119i
$64$	6.87713	−	4.08718i	0.859641	−	0.510898i
$65$	0.0157329	−	0.725823i	0.00195143	−	0.0900272i
$66$	−4.73065	−	10.0287i	−0.582303	−	1.23445i
$67$	1.44231	−	0.386465i	0.176206	−	0.0472142i	−0.169637	−	0.985507i	$-0.554260\pi$
$67$	1.44231	−	0.386465i	0.176206	−	0.0472142i	0.345843	+	0.938292i	$0.387593\pi$
$68$	−11.3348	+	5.34373i	−1.37455	+	0.648022i
$69$	−8.14109	+	5.72869i	−0.980072	+	0.689653i
$70$	5.88107	−	5.95088i	0.702923	−	0.711266i
$71$			15.8264i			1.87825i	0.343579	+	0.939124i	$0.388361\pi$
$71$			15.8264i			1.87825i	−0.343579	+	0.939124i	$0.611639\pi$
$72$	3.67012	+	7.65051i	0.432527	+	0.901621i
$73$	−13.7419	+	3.68214i	−1.60837	+	0.430962i	−0.947557	−	0.319586i	$-0.896456\pi$
$73$	−13.7419	+	3.68214i	−1.60837	+	0.430962i	−0.660815	+	0.750548i	$0.729789\pi$
$74$	0.252755	−	1.45130i	0.0293822	−	0.168711i
$75$	−6.40027	−	5.83409i	−0.739039	−	0.673663i
$76$	−8.47877	−	10.0186i	−0.972582	−	1.14922i
$77$	6.61762	−	9.98268i	0.754148	−	1.13763i
$78$	0.141567	+	0.782584i	0.0160293	+	0.0886102i
$79$	−4.85675	+	2.80405i	−0.546427	+	0.315480i	−0.747680	−	0.664059i	$-0.768832\pi$
$79$	−4.85675	+	2.80405i	−0.546427	+	0.315480i	0.201253	+	0.979539i	$0.435499\pi$
$80$	3.88711	−	8.05546i	0.434592	−	0.900628i
$81$	−8.42826	+	3.15664i	−0.936474	+	0.350738i
$82$	−0.262019	−	2.92398i	−0.0289351	−	0.322900i
$83$	−4.47966	−	4.47966i	−0.491706	−	0.491706i	0.417137	−	0.908843i	$-0.363033\pi$
$83$	−4.47966	−	4.47966i	−0.491706	−	0.491706i	−0.908843	+	0.417137i	$0.863033\pi$
$84$	−5.01401	+	7.67201i	−0.547074	+	0.837084i
$85$	−7.26651	+	11.9787i	−0.788163	+	1.29928i
$86$	1.58998	−	1.90298i	0.171451	−	0.205204i
$87$	−0.571124	−	0.476973i	−0.0612309	−	0.0511369i
$88$	3.23572	−	12.3883i	0.344929	−	1.32059i
$89$	−4.03760	−	6.99333i	−0.427985	−	0.741291i	0.568709	−	0.822539i	$-0.307443\pi$
$89$	−4.03760	−	6.99333i	−0.427985	−	0.741291i	−0.996694	+	0.0812472i	$0.974110\pi$
$90$	8.14415	+	4.86547i	0.858469	+	0.512866i
$91$	−0.643763	+	0.568737i	−0.0674848	+	0.0596198i
$92$	−11.4550	−	0.953607i	−1.19427	−	0.0994204i
$93$	−2.99006	−	8.15611i	−0.310055	−	0.845749i
$94$	−1.84187	+	10.5759i	−0.189975	+	1.09082i
$95$	−14.0884	−	4.10420i	−1.44544	−	0.421082i
$96$	−2.41409	+	9.49590i	−0.246387	+	0.969171i
$97$	5.18418	−	5.18418i	0.526374	−	0.526374i	−0.393115	−	0.919489i	$-0.628603\pi$
$97$	5.18418	−	5.18418i	0.526374	−	0.526374i	0.919489	+	0.393115i	$0.128603\pi$
$98$	−9.89370	−	0.338757i	−0.999414	−	0.0342197i
$99$	12.7830	+	4.58548i	1.28474	+	0.460858i
$100$	−1.34985	−	9.90848i	−0.134985	−	0.990848i
$101$	7.70114	−	13.3388i	0.766292	−	1.32726i	−0.173269	−	0.984875i	$-0.555433\pi$
$101$	7.70114	−	13.3388i	0.766292	−	1.32726i	0.939561	−	0.342382i	$-0.111234\pi$
$102$	5.18529	−	14.4452i	0.513420	−	1.43029i
$103$	−0.551908	+	2.05975i	−0.0543811	+	0.202953i	−0.987771	−	0.155910i	$-0.950169\pi$
$103$	−0.551908	+	2.05975i	−0.0543811	+	0.202953i	0.933390	+	0.358863i	$0.116836\pi$
$104$	−0.454127	+	0.798170i	−0.0445308	+	0.0782670i
$105$	0.0626934	+	10.2468i	0.00611825	+	0.999981i
$106$	−15.4397	+	5.65643i	−1.49964	+	0.549401i
$107$	−1.49504	−	0.400594i	−0.144531	−	0.0387269i	0.185828	−	0.982582i	$-0.440503\pi$
$107$	−1.49504	−	0.400594i	−0.144531	−	0.0387269i	−0.330359	+	0.943855i	$0.607170\pi$
$108$	−9.80470	−	3.44498i	−0.943458	−	0.331493i
$109$	3.39363	−	5.87794i	0.325051	−	0.563005i	−0.656472	−	0.754351i	$-0.727952\pi$
$109$	3.39363	−	5.87794i	0.325051	−	0.563005i	0.981523	+	0.191346i	$0.0612853\pi$
$110$	−4.63194	−	13.5451i	−0.441638	−	1.29147i
$111$	1.03830	+	1.47553i	0.0985507	+	0.140051i
$112$	−10.1237	+	3.08386i	−0.956602	+	0.291397i
$113$	−5.22841	+	5.22841i	−0.491848	+	0.491848i	−0.908888	−	0.417040i	$-0.863067\pi$
$113$	−5.22841	+	5.22841i	−0.491848	+	0.491848i	0.417040	+	0.908888i	$0.363067\pi$
$114$	16.0195	+	1.33007i	1.50037	+	0.124573i
$115$	−11.2663	+	6.18301i	−1.05059	+	0.576568i
$116$	−0.152762	−	0.845525i	−0.0141836	−	0.0785050i
$117$	−0.800460	−	0.554963i	−0.0740025	−	0.0513063i
$118$	2.31610	+	1.07408i	0.213214	+	0.0988774i
$119$	16.2469	−	3.29342i	1.48935	−	0.301907i
$120$	3.61216	+	10.3418i	0.329743	+	0.944071i
$121$	−4.74620	−	8.22066i	−0.431473	−	0.747333i
$122$	−16.1901	+	11.3873i	−1.46579	+	1.03096i
$123$	2.75966	+	2.30473i	0.248830	+	0.207810i
$124$	3.39102	−	9.44022i	0.304523	−	0.847757i
$125$	−7.37534	−	8.40264i	−0.659671	−	0.751555i
$126$	−2.30429	−	10.9859i	−0.205282	−	0.978703i
$127$	5.56672	−	5.56672i	0.493967	−	0.493967i	−0.415587	−	0.909554i	$-0.636424\pi$
$127$	5.56672	−	5.56672i	0.493967	−	0.493967i	0.909554	+	0.415587i	$0.136424\pi$
$128$	−9.17102	+	6.62513i	−0.810612	+	0.585584i
$129$	0.271730	+	3.02493i	0.0239245	+	0.266330i
$130$	0.0694541	+	1.02436i	0.00609152	+	0.0898421i
$131$	4.15259	+	7.19250i	0.362813	+	0.628411i	0.988423	−	0.151725i	$-0.0484829\pi$
$131$	4.15259	+	7.19250i	0.362813	+	0.628411i	−0.625609	+	0.780137i	$0.715150\pi$
$132$	7.92930	+	13.5290i	0.690157	+	1.17755i
$133$	7.73608	+	15.5439i	0.670803	+	1.34783i
$134$	−1.98281	+	0.726414i	−0.171289	+	0.0627526i
$135$	−11.2660	+	2.84188i	−0.969627	+	0.244590i
$136$	15.2914	−	8.95771i	1.31123	−	0.768118i
$137$	17.3199	−	4.64086i	1.47974	−	0.396496i	0.573482	−	0.819218i	$-0.305592\pi$
$137$	17.3199	−	4.64086i	1.47974	−	0.396496i	0.906259	+	0.422722i	$0.138925\pi$
$138$	10.7442	−	9.09684i	0.914607	−	0.774374i
$139$	9.32009			0.790520			0.395260	−	0.918569i	$-0.370655\pi$
$139$	9.32009			0.790520			0.395260	+	0.918569i	$0.370655\pi$
$140$	−7.53277	+	9.12455i	−0.636635	+	0.771165i
$141$	−7.56625	−	10.7525i	−0.637193	−	0.905521i
$142$	−1.99764	−	22.2926i	−0.167638	−	1.87075i
$143$	0.380400	+	1.41967i	0.0318106	+	0.118719i
$144$	−6.13528	−	10.3130i	−0.511273	−	0.859418i
$145$	−0.664388	−	0.693829i	−0.0551744	−	0.0576193i
$146$	18.8917	−	6.92109i	1.56349	−	0.572794i
$147$	8.85976	−	8.27675i	0.730741	−	0.682655i
$148$	−0.172837	+	2.07617i	−0.0142071	+	0.170660i
$149$	−7.76118	+	4.48092i	−0.635820	+	0.367091i	−0.783003	−	0.622018i	$-0.786313\pi$
$149$	−7.76118	+	4.48092i	−0.635820	+	0.367091i	0.147182	+	0.989109i	$0.452980\pi$
$150$	9.75161	+	7.40986i	0.796216	+	0.605013i
$151$	−3.75709	+	6.50747i	−0.305748	+	0.529570i	−0.977428	−	0.211271i	$-0.932240\pi$
$151$	−3.75709	+	6.50747i	−0.305748	+	0.529570i	0.671680	+	0.740842i	$0.265573\pi$
$152$	13.2075	+	13.0417i	1.07127	+	1.05782i
$153$	8.02301	+	16.9987i	0.648622	+	1.37427i
$154$	−8.06135	+	14.8966i	−0.649602	+	1.20040i
$155$	−2.66716	−	10.8930i	−0.214232	−	0.874946i
$156$	−0.298186	−	1.08446i	−0.0238740	−	0.0868259i
$157$	8.46908	−	2.26928i	0.675906	−	0.181109i	0.0954924	−	0.995430i	$-0.469557\pi$
$157$	8.46908	−	2.26928i	0.675906	−	0.181109i	0.580414	+	0.814322i	$0.302891\pi$
$158$	6.48714	−	4.56272i	0.516089	−	0.362991i
$159$	8.46858	−	18.2716i	0.671602	−	1.44903i
$160$	−4.45848	+	11.8373i	−0.352474	+	0.935822i
$161$	14.4168	+	4.83520i	1.13620	+	0.381067i
$162$	11.4734	−	5.51018i	0.901432	−	0.432921i
$163$	−16.8353	−	4.51101i	−1.31864	−	0.353329i	−0.470173	−	0.882574i	$-0.655809\pi$
$163$	−16.8353	−	4.51101i	−1.31864	−	0.353329i	−0.848469	+	0.529245i	$0.822475\pi$
$164$	0.738143	+	4.08556i	0.0576393	+	0.319029i
$165$	15.7434	+	7.71557i	1.22563	+	0.600657i
$166$	6.87534	+	5.74447i	0.533630	+	0.445858i
$167$	−5.49015	−	5.49015i	−0.424841	−	0.424841i	0.462026	−	0.886866i	$-0.347123\pi$
$167$	−5.49015	−	5.49015i	−0.424841	−	0.424841i	−0.886866	+	0.462026i	$0.847123\pi$
$168$	6.09421	−	11.4394i	0.470178	−	0.882571i
$169$			12.8946i			0.991891i
$170$	8.72340	−	17.7901i	0.669054	−	1.36444i
$171$	−15.0224	+	12.7247i	−1.14879	+	0.973083i
$172$	−1.99939	+	2.88117i	−0.152452	+	0.219687i
$173$	2.21318	−	8.25968i	0.168265	−	0.627972i	−0.829337	−	0.558749i	$-0.811281\pi$
$173$	2.21318	−	8.25968i	0.168265	−	0.627972i	0.997601	−	0.0692228i	$-0.0220519\pi$
$174$	0.864672	+	0.599761i	0.0655506	+	0.0454678i
$175$	−1.38836	+	13.1557i	−0.104950	+	0.994477i
$176$	−2.99406	+	17.8582i	−0.225686	+	1.34611i
$177$	−2.93575	+	1.07626i	−0.220664	+	0.0808963i
$178$	6.56995	+	9.34096i	0.492439	+	0.700134i
$179$	−11.2398	−	6.48933i	−0.840106	−	0.485035i	0.0171945	−	0.999852i	$-0.494527\pi$
$179$	−11.2398	−	6.48933i	−0.840106	−	0.485035i	−0.857300	+	0.514817i	$0.827860\pi$
$180$	−12.0857	−	5.82538i	−0.900817	−	0.434198i
$181$			0.814414i			0.0605349i	0.999542	+	0.0302675i	$0.00963590\pi$
$181$			0.814414i			0.0605349i	−0.999542	+	0.0302675i	$0.990364\pi$
$182$	0.834998	−	0.882362i	0.0618942	−	0.0654051i
$183$	4.15415	−	23.8837i	0.307083	−	1.76553i
$184$	16.2556	−	0.102657i	1.19838	−	0.00756795i
$185$	1.12064	+	2.04196i	0.0823910	+	0.150128i
$186$	5.24119	+	11.1110i	0.384303	+	0.814701i
$187$	7.34106	−	27.3972i	0.536832	−	2.00348i
$188$	1.25949	−	15.1294i	0.0918578	−	1.10342i
$189$	11.5113	+	7.51599i	0.837323	+	0.546708i
$190$	20.3626	+	4.00278i	1.47726	+	0.290392i
$191$	6.70911	−	3.87351i	0.485454	−	0.280277i	−0.237232	−	0.971453i	$-0.576240\pi$
$191$	6.70911	−	3.87351i	0.485454	−	0.280277i	0.722687	+	0.691176i	$0.242907\pi$
$192$	2.20182	−	13.6803i	0.158903	−	0.987294i
$193$	−3.92087	+	1.05059i	−0.282230	+	0.0756233i	−0.397157	−	0.917751i	$-0.630003\pi$
$193$	−3.92087	+	1.05059i	−0.282230	+	0.0756233i	0.114927	+	0.993374i	$0.463337\pi$
$194$	−6.64792	+	7.95664i	−0.477293	+	0.571254i
$195$	−0.947449	−	0.826764i	−0.0678483	−	0.0592058i
$196$	13.9787	−	0.771641i	0.998480	−	0.0551172i
$197$	4.31270	−	4.31270i	0.307267	−	0.307267i	−0.536581	−	0.843849i	$-0.680285\pi$
$197$	4.31270	−	4.31270i	0.307267	−	0.307267i	0.843849	+	0.536581i	$0.180285\pi$
$198$	−18.5845	−	4.84547i	−1.32074	−	0.344352i
$199$	−10.7603	−	6.21245i	−0.762776	−	0.440389i	0.0675154	−	0.997718i	$-0.478493\pi$
$199$	−10.7603	−	6.21245i	−0.762776	−	0.440389i	−0.830292	+	0.557329i	$0.811826\pi$
$200$	3.15202	+	13.7864i	0.222882	+	0.974846i
$201$	1.08756	−	2.34649i	0.0767105	−	0.165509i
$202$	−9.16394	+	19.7606i	−0.644773	+	1.39035i
$203$	−0.0701980	+	1.13446i	−0.00492693	+	0.0796237i
$204$	−5.48054	+	21.0015i	−0.383714	+	1.47040i
$205$	3.21031	+	3.35257i	0.224218	+	0.234154i
$206$	0.517414	−	2.97096i	0.0360500	−	0.206997i
$207$	−1.42291	+	17.1832i	−0.0988990	+	1.19431i
$208$	0.538923	−	1.18160i	0.0373676	−	0.0819291i
$209$	29.7072			2.05489
$210$	−1.38168	−	14.4254i	−0.0953447	−	0.995444i
$211$			14.3841i			0.990241i	0.868824	+	0.495120i	$0.164876\pi$
$211$			14.3841i			0.990241i	−0.868824	+	0.495120i	$0.835124\pi$
$212$	21.0339	−	9.91630i	1.44462	−	0.681054i
$213$	21.0398	+	17.5713i	1.44162	+	1.20397i
$214$	2.15643	+	0.375558i	0.147410	+	0.0256726i
$215$	−0.0849691	+	3.91997i	−0.00579484	+	0.267340i
$216$	14.2454	+	3.61492i	0.969279	+	0.245964i
$217$	−7.33180	+	11.0600i	−0.497715	+	0.750803i
$218$	−4.03824	+	8.70784i	−0.273504	+	0.589769i
$219$	−10.3620	+	22.3568i	−0.700198	+	1.51073i
$220$	8.23409	+	18.4945i	0.555142	+	1.24690i
$221$	−1.01715	+	1.76175i	−0.0684207	+	0.118508i
$222$	−1.64876	−	1.94733i	−0.110657	−	0.130696i
$223$	10.8534	+	10.8534i	0.726797	+	0.726797i	0.969980	−	0.243183i	$-0.0781916\pi$
$223$	10.8534	+	10.8534i	0.726797	+	0.726797i	−0.243183	+	0.969980i	$0.578192\pi$
$224$	13.8707	−	5.62167i	0.926776	−	0.375613i
$225$	−14.8618	+	2.03126i	−0.990789	+	0.135417i
$226$	6.70464	−	8.02452i	0.445986	−	0.533783i
$227$	−0.485433	−	1.81166i	−0.0322193	−	0.120244i	0.947943	−	0.318439i	$-0.103159\pi$
$227$	−0.485433	−	1.81166i	−0.0322193	−	0.120244i	−0.980163	+	0.198195i	$0.936492\pi$
$228$	−22.7325	+	0.148522i	−1.50550	+	0.00983609i
$229$	1.95174	+	3.38052i	0.128975	+	0.223391i	0.923280	−	0.384128i	$-0.125498\pi$
$229$	1.95174	+	3.38052i	0.128975	+	0.223391i	−0.794305	+	0.607519i	$0.792165\pi$
$230$	15.0889	−	10.1312i	0.994933	−	0.668035i
$231$	−5.92383	−	19.8809i	−0.389760	−	1.30806i
$232$	0.321900	+	1.17170i	0.0211338	+	0.0769258i
$233$	8.33150	+	2.23242i	0.545815	+	0.146251i	0.521182	−	0.853446i	$-0.325491\pi$
$233$	8.33150	+	2.23242i	0.545815	+	0.146251i	0.0246335	+	0.999697i	$0.492158\pi$
$234$	1.19755	+	0.680668i	0.0782864	+	0.0444967i
$235$	−8.16630	−	14.8801i	−0.532710	−	0.970671i
$236$	−3.39796	−	1.22058i	−0.221188	−	0.0794529i
$237$	−1.66450	+	9.56983i	−0.108121	+	0.621627i
$238$	−22.4692	+	6.68973i	−1.45646	+	0.433631i
$239$	23.2744			1.50549			0.752747	−	0.658310i	$-0.228728\pi$
$239$	23.2744			1.50549			0.752747	+	0.658310i	$0.228728\pi$
$240$	−6.39334	−	14.1112i	−0.412688	−	0.910872i
$241$	−1.84014	+	3.18722i	−0.118534	+	0.205307i	−0.919187	−	0.393822i	$-0.871153\pi$
$241$	−1.84014	+	3.18722i	−0.118534	+	0.205307i	0.800653	+	0.599128i	$0.204486\pi$
$242$	7.72298	+	10.9803i	0.496452	+	0.705840i
$243$	−5.16105	+	14.7093i	−0.331081	+	0.943602i
$244$	21.3676	−	18.0834i	1.36792	−	1.15767i
$245$	12.5536	−	9.34919i	0.802019	−	0.597298i
$246$	−4.17808	−	2.89804i	−0.266385	−	0.184772i
$247$	−2.05806	−	0.551454i	−0.130951	−	0.0350882i
$248$	−3.58492	+	13.7252i	−0.227643	+	0.871553i
$249$	−10.9289	+	0.981742i	−0.692589	+	0.0622154i
$250$	11.4493	+	10.9048i	0.724116	+	0.689678i
$251$	4.05482			0.255938			0.127969	−	0.991778i	$-0.459154\pi$
$251$	4.05482			0.255938			0.127969	+	0.991778i	$0.459154\pi$
$252$	4.63242	+	15.1836i	0.291815	+	0.956475i
$253$	18.3970	−	18.3970i	1.15661	−	1.15661i
$254$	−7.13847	+	8.54376i	−0.447908	+	0.536083i
$255$	7.85697	+	22.9596i	0.492023	+	1.43779i
$256$	12.0818	−	10.4895i	0.755112	−	0.655596i
$257$	−5.36645	+	20.0279i	−0.334750	+	1.24930i	0.569390	+	0.822067i	$0.307179\pi$
$257$	−5.36645	+	20.0279i	−0.334750	+	1.24930i	−0.904140	+	0.427236i	$0.859487\pi$
$258$	−0.764564	−	4.22652i	−0.0475997	−	0.263132i
$259$	0.876357	−	2.61297i	0.0544541	−	0.162362i
$260$	−0.227128	−	1.43411i	−0.0140859	−	0.0889399i
$261$	−1.26819	+	0.229697i	−0.0784988	+	0.0142179i
$262$	−6.75706	−	9.60698i	−0.417453	−	0.593521i
$263$	0.184224	+	0.687533i	0.0113597	+	0.0423951i	0.971373	−	0.237559i	$-0.0763474\pi$
$263$	0.184224	+	0.687533i	0.0113597	+	0.0423951i	−0.960013	+	0.279954i	$0.909681\pi$
$264$	−12.8766	−	18.0557i	−0.792502	−	1.11125i
$265$	13.4844	−	22.2288i	0.828340	−	1.36550i
$266$	−12.8588	−	20.9182i	−0.788423	−	1.28258i
$267$	−13.7798	−	2.39675i	−0.843309	−	0.146679i
$268$	2.70124	−	1.27348i	0.165004	−	0.0777902i
$269$	2.09771	+	1.21112i	0.127900	+	0.0738431i	0.562585	−	0.826740i	$-0.309807\pi$
$269$	2.09771	+	1.21112i	0.127900	+	0.0738431i	−0.434685	+	0.900583i	$0.643140\pi$
$270$	15.5103	−	5.42501i	0.943927	−	0.330155i
$271$	−7.67447	−	13.2926i	−0.466191	−	0.807466i	0.533063	−	0.846075i	$-0.321041\pi$
$271$	−7.67447	−	13.2926i	−0.466191	−	0.807466i	−0.999254	+	0.0386088i	$0.987707\pi$
$272$	−20.4083	+	14.5477i	−1.23744	+	0.882082i
$273$	0.0413431	+	1.48727i	0.00250220	+	0.0900136i
$274$	−23.8105	+	8.72314i	−1.43845	+	0.526984i
$275$	19.0931	+	12.1559i	1.15135	+	0.733027i
$276$	−13.9857	+	14.1697i	−0.841842	+	0.852915i
$277$	−6.06139	+	1.62414i	−0.364193	+	0.0975853i	−0.436275	−	0.899813i	$-0.643702\pi$
$277$	−6.06139	+	1.62414i	−0.364193	+	0.0975853i	0.0720815	+	0.997399i	$0.477036\pi$
$278$	−13.1280	+	1.17640i	−0.787365	+	0.0705559i
$279$	−14.1626	−	5.08035i	−0.847890	−	0.304152i
$280$	9.45870	−	13.8034i	0.565266	−	0.824909i
$281$		−	11.9040i		−	0.710130i	−0.934842	−	0.355065i	$-0.884459\pi$
$281$		−	11.9040i		−	0.710130i	0.934842	−	0.355065i	$-0.115541\pi$
$282$	12.0148	+	14.1906i	0.715470	+	0.845036i
$283$	−2.22988	−	8.32203i	−0.132553	−	0.494693i	0.867443	−	0.497536i	$-0.165762\pi$
$283$	−2.22988	−	8.32203i	−0.132553	−	0.494693i	−0.999996	+	0.00284269i	$0.999095\pi$
$284$	5.62764	+	31.1485i	0.333939	+	1.84832i
$285$	−21.0979	+	14.1726i	−1.24973	+	0.839513i
$286$	−0.715014	−	1.95169i	−0.0422796	−	0.115406i
$287$	0.339196	−	5.48171i	0.0200221	−	0.323575i
$288$	9.94370	+	13.7522i	0.585938	+	0.810356i
$289$	19.2763	−	11.1292i	1.13390	−	0.654659i
$290$	1.02341	+	0.893446i	0.0600969	+	0.0524649i
$291$	−1.13614	−	12.6477i	−0.0666019	−	0.741420i
$292$	−25.7367	+	12.1334i	−1.50613	+	0.710053i
$293$	−16.0507	−	16.0507i	−0.937692	−	0.937692i	0.0604777	−	0.998170i	$-0.480738\pi$
$293$	−16.0507	−	16.0507i	−0.937692	−	0.937692i	−0.998170	+	0.0604777i	$0.980738\pi$
$294$	−11.4349	+	12.7767i	−0.666896	+	0.745151i
$295$	−3.92087	+	0.960030i	−0.228282	+	0.0558951i
$296$	−0.0186060	−	2.94624i	−0.00108145	−	0.171247i
$297$	20.2884	−	11.9028i	1.17725	−	0.690671i
$298$	10.3666	−	7.29132i	0.600519	−	0.422375i
$299$	−1.61601	+	0.933004i	−0.0934563	+	0.0539570i
$300$	−14.6711	−	9.20644i	−0.847037	−	0.531534i
$301$	3.47679	−	3.07159i	0.200399	−	0.177044i
$302$	4.47073	−	9.64045i	0.257262	−	0.554746i
$303$	−9.18247	−	25.0474i	−0.527519	−	1.43894i
$304$	−20.2499	−	16.7031i	−1.16141	−	0.957990i
$305$	8.75338	−	30.0476i	0.501217	−	1.72052i
$306$	−13.4466	−	22.9312i	−0.768690	−	1.31089i
$307$	6.39185	+	6.39185i	0.364802	+	0.364802i	0.865577	−	0.500775i	$-0.166952\pi$
$307$	6.39185	+	6.39185i	0.364802	+	0.364802i	−0.500775	+	0.865577i	$0.666952\pi$
$308$	9.47469	−	22.0004i	0.539870	−	1.25359i
$309$	2.12549	+	3.02056i	0.120915	+	0.171833i
$310$	5.13182	+	15.0069i	0.291468	+	0.852333i
$311$	−5.47968	−	3.16369i	−0.310724	−	0.179397i	0.336526	−	0.941674i	$-0.390748\pi$
$311$	−5.47968	−	3.16369i	−0.310724	−	0.179397i	−0.647250	+	0.762277i	$0.724081\pi$
$312$	0.556898	+	1.48989i	0.0315282	+	0.0843486i
$313$	8.85424	−	33.0445i	0.500471	−	1.86778i	0.00353933	−	0.999994i	$-0.498873\pi$
$313$	8.85424	−	33.0445i	0.500471	−	1.86778i	0.496932	−	0.867790i	$-0.334460\pi$
$314$	−11.6429	+	4.26543i	−0.657044	+	0.240712i
$315$	13.6918	+	11.2932i	0.771443	+	0.636298i
$316$	−8.56167	+	7.24574i	−0.481631	+	0.407604i
$317$	−13.6970	−	3.67010i	−0.769300	−	0.206133i	−0.147238	−	0.989101i	$-0.547038\pi$
$317$	−13.6970	−	3.67010i	−0.769300	−	0.206133i	−0.622062	+	0.782968i	$0.713705\pi$
$318$	−9.62229	+	26.8058i	−0.539591	+	1.50319i
$319$	1.68422	+	0.972384i	0.0942981	+	0.0544430i
$320$	4.78595	−	17.2364i	0.267543	−	0.963546i
$321$	−2.19243	+	1.54276i	−0.122369	+	0.0861083i
$322$	−20.9173	−	4.99100i	−1.16568	−	0.278138i
$323$	29.0748	+	29.0748i	1.61777	+	1.61777i
$324$	−15.4655	+	9.20967i	−0.859195	+	0.511648i
$325$	−1.09708	−	1.19656i	−0.0608549	−	0.0663731i
$326$	24.2831	+	4.22908i	1.34492	+	0.234227i
$327$	−4.04640	−	11.0375i	−0.223767	−	0.610377i
$328$	−1.55541	−	5.66163i	−0.0858834	−	0.312611i
$329$	−6.38617	+	19.0412i	−0.352081	+	1.04977i
$330$	−23.1496	−	8.88075i	−1.27434	−	0.488869i
$331$	−2.08489	+	1.20371i	−0.114596	+	0.0661621i	−0.556202	−	0.831047i	$-0.687742\pi$
$331$	−2.08489	+	1.20371i	−0.114596	+	0.0661621i	0.441606	+	0.897209i	$0.354409\pi$
$332$	−10.4095	−	7.22367i	−0.571294	−	0.396450i
$333$	3.11436	+	0.257895i	0.170666	+	0.0141326i
$334$	8.42624	+	7.04028i	0.461063	+	0.385227i
$335$	1.73170	−	2.85469i	0.0946131	−	0.155968i
$336$	−7.14020	+	16.8825i	−0.389530	+	0.921014i
$337$	10.7800	−	10.7800i	0.587223	−	0.587223i	−0.349656	−	0.936878i	$-0.613701\pi$
$337$	10.7800	−	10.7800i	0.587223	−	0.587223i	0.936878	+	0.349656i	$0.113701\pi$
$338$	−1.62758	−	18.1629i	−0.0885288	−	0.987933i
$339$	1.14584	+	12.7556i	0.0622333	+	0.692788i
$340$	−10.0420	+	26.1596i	−0.544605	+	1.41870i
$341$	11.3520	+	19.6622i	0.614744	+	1.06477i
$342$	19.5540	−	19.8198i	1.05736	−	1.07173i
$343$	−18.2029	−	3.41396i	−0.982863	−	0.184336i
$344$	2.45262	−	4.31069i	0.132236	−	0.232417i
$345$	−4.28869	+	21.8422i	−0.230895	+	1.17595i
$346$	−2.07486	+	11.9137i	−0.111545	+	0.640484i
$347$	−8.18357	−	30.5415i	−0.439317	−	1.63955i	−0.730519	−	0.682892i	$-0.760722\pi$
$347$	−8.18357	−	30.5415i	−0.439317	−	1.63955i	0.291203	−	0.956661i	$-0.405945\pi$
$348$	−1.29365	−	0.735665i	−0.0693472	−	0.0394358i
$349$	−1.12955			−0.0604632			−0.0302316	−	0.999543i	$-0.509624\pi$
$349$	−1.12955			−0.0604632			−0.0302316	+	0.999543i	$0.509624\pi$
$350$	0.295065	−	18.7060i	0.0157719	−	0.999876i
$351$	−1.62649	+	0.447990i	−0.0868155	+	0.0239119i
$352$	1.96324	−	25.5324i	0.104641	−	1.36088i
$353$	6.87169	+	25.6455i	0.365743	+	1.36497i	0.866411	+	0.499332i	$0.166421\pi$
$353$	6.87169	+	25.6455i	0.365743	+	1.36497i	−0.500668	+	0.865640i	$0.666912\pi$
$354$	3.99936	−	1.88654i	0.212563	−	0.100268i
$355$	24.4756	+	25.5601i	1.29903	+	1.35659i
$356$	−10.4333	−	12.3281i	−0.552962	−	0.653389i
$357$	13.6599	−	25.2554i	0.722959	−	1.33666i
$358$	16.6512	+	7.72195i	0.880043	+	0.408118i
$359$	−12.0525	−	20.8756i	−0.636108	−	1.10177i	−0.986279	−	0.165086i	$-0.947210\pi$
$359$	−12.0525	−	20.8756i	−0.636108	−	1.10177i	0.350171	−	0.936686i	$-0.386124\pi$
$360$	17.7589	+	6.67997i	0.935975	+	0.352065i
$361$	−12.0328	+	20.8415i	−0.633307	+	1.09692i
$362$	−0.102797	−	1.14716i	−0.00540290	−	0.0602933i
$363$	−16.1981	−	2.81738i	−0.850181	−	0.147874i
$364$	−1.06478	+	1.34826i	−0.0558096	+	0.0706682i
$365$	−16.4992	+	27.1987i	−0.863609	+	1.42365i
$366$	−2.83675	+	34.1662i	−0.148280	+	1.78589i
$367$	1.94548	+	7.26062i	0.101553	+	0.379001i	0.997931	−	0.0642887i	$-0.0204779\pi$
$367$	1.94548	+	7.26062i	0.101553	+	0.379001i	−0.896378	+	0.443290i	$0.853811\pi$
$368$	−22.8841	+	2.19641i	−1.19292	+	0.114496i
$369$	6.12786	−	1.10989i	0.319004	−	0.0577786i
$370$	−1.83624	−	2.73479i	−0.0954615	−	0.142175i
$371$	−30.1492	+	6.11157i	−1.56527	+	0.317297i
$372$	−8.78504	−	14.9891i	−0.455483	−	0.777149i
$373$	−1.49275	−	0.399982i	−0.0772918	−	0.0207103i	0.219966	−	0.975508i	$-0.429405\pi$
$373$	−1.49275	−	0.399982i	−0.0772918	−	0.0207103i	−0.297258	+	0.954797i	$0.596072\pi$
$374$	−6.88226	+	39.5175i	−0.355873	+	2.04340i
$375$	−19.3591	+	0.475788i	−0.999698	+	0.0245696i
$376$	0.135585	+	21.4698i	0.00699228	+	1.10722i
$377$	−0.0986288	−	0.0986288i	−0.00507964	−	0.00507964i
$378$	−17.1631	−	9.13382i	−0.882777	−	0.469793i
$379$	8.83814			0.453985			0.226993	−	0.973897i	$-0.427111\pi$
$379$	8.83814			0.453985			0.226993	+	0.973897i	$0.427111\pi$
$380$	−29.1873	−	3.06799i	−1.49728	−	0.157384i
$381$	−1.21998	−	13.5809i	−0.0625015	−	0.695773i
$382$	−8.96133	+	6.30294i	−0.458501	+	0.322487i
$383$	24.4797	+	6.55933i	1.25086	+	0.335166i	0.822667	−	0.568523i	$-0.192485\pi$
$383$	24.4797	+	6.55933i	1.25086	+	0.335166i	0.428189	+	0.903689i	$0.359152\pi$
$384$	−1.37466	+	19.5476i	−0.0701503	+	0.997536i
$385$	−4.75057	−	26.3565i	−0.242111	−	1.34325i
$386$	5.39020	−	1.97473i	0.274354	−	0.100511i
$387$	4.32306	+	2.99720i	0.219754	+	0.152356i
$388$	8.35976	−	12.0466i	0.424402	−	0.611573i
$389$	−17.8516	−	10.3066i	−0.905114	−	0.522568i	−0.0262579	−	0.999655i	$-0.508359\pi$
$389$	−17.8516	−	10.3066i	−0.905114	−	0.522568i	−0.878856	+	0.477088i	$0.841692\pi$
$390$	1.43890	+	1.04497i	0.0728617	+	0.0529139i
$391$	36.0107			1.82114
$392$	−19.5926	+	2.85133i	−0.989576	+	0.144014i
$393$	14.1722	+	2.46501i	0.714894	+	0.124343i
$394$	−5.53038	+	6.61910i	−0.278617	+	0.333465i
$395$	−3.50734	+	12.0396i	−0.176474	+	0.605778i
$396$	26.7892	+	4.47939i	1.34621	+	0.225098i
$397$	−7.20751	+	26.8988i	−0.361734	+	1.35001i	0.510060	+	0.860139i	$0.329623\pi$
$397$	−7.20751	+	26.8988i	−0.361734	+	1.35001i	−0.871794	+	0.489872i	$0.837043\pi$
$398$	15.9408	+	7.39248i	0.799038	+	0.370552i
$399$	29.2533	+	6.97326i	1.46449	+	0.349100i
$400$	−6.17999	−	19.0212i	−0.308999	−	0.951062i
$401$	−9.07915	+	5.24185i	−0.453391	+	0.261766i	−0.709261	−	0.704946i	$-0.750971\pi$
$401$	−9.07915	+	5.24185i	−0.453391	+	0.261766i	0.255870	+	0.966711i	$0.417638\pi$
$402$	−1.23572	+	3.44248i	−0.0616322	+	0.171695i
$403$	−0.421453	−	1.57288i	−0.0209941	−	0.0783509i
$404$	10.4138	−	28.9909i	0.518107	−	1.44235i
$405$	−8.73016	+	18.1324i	−0.433805	+	0.901007i
$406$	−0.0443157	−	1.60683i	−0.00219935	−	0.0797457i
$407$	−3.33437	−	3.33437i	−0.165278	−	0.165278i
$408$	5.06886	−	30.2739i	0.250946	−	1.49878i
$409$	−9.15151	−	5.28362i	−0.452513	−	0.261258i	0.256378	−	0.966577i	$-0.417471\pi$
$409$	−9.15151	−	5.28362i	−0.452513	−	0.261258i	−0.708891	+	0.705318i	$0.750804\pi$
$410$	−4.94512	−	4.31712i	−0.244222	−	0.213207i
$411$	13.0599	−	28.1778i	0.644199	−	1.38991i
$412$	−0.353813	+	4.25011i	−0.0174311	+	0.209388i
$413$	3.98099	+	2.63904i	0.195892	+	0.129859i
$414$	−0.164630	−	24.3833i	−0.00809110	−	1.19837i
$415$	−14.1626	−	0.306988i	−0.695214	−	0.0150694i
$416$	−0.609966	+	1.73239i	−0.0299061	+	0.0849373i
$417$	10.3477	−	12.3902i	0.506728	−	0.606752i
$418$	−41.8447	+	3.74971i	−2.04669	+	0.183404i
$419$		−	19.8126i		−	0.967909i	−0.875093	−	0.483955i	$-0.839200\pi$
$419$		−	19.8126i		−	0.967909i	0.875093	−	0.483955i	$-0.160800\pi$
$420$	3.76699	+	20.1447i	0.183810	+	0.982962i
$421$		−	12.0978i		−	0.589609i	−0.955558	−	0.294805i	$-0.904745\pi$
$421$		−	12.0978i		−	0.589609i	0.955558	−	0.294805i	$-0.0952545\pi$
$422$	−1.81559	−	20.2610i	−0.0883815	−	0.986289i
$423$	−22.6949	−	1.87933i	−1.10346	−	0.0913761i
$424$	−28.3761	+	16.6227i	−1.37806	+	0.807272i
$425$	6.78949	+	30.5837i	0.329339	+	1.48353i
$426$	−31.8539	−	22.0948i	−1.54333	−	1.07049i
$427$	−33.1518	+	16.4994i	−1.60433	+	0.798462i
$428$	−3.08488	−	0.256810i	−0.149113	−	0.0124134i
$429$	2.30967	+	1.07049i	0.111512	+	0.0516837i
$430$	−0.375102	−	5.53227i	−0.0180890	−	0.266790i
$431$	1.55352	+	0.896926i	0.0748305	+	0.0432034i	0.536948	−	0.843615i	$-0.319577\pi$
$431$	1.55352	+	0.896926i	0.0748305	+	0.0432034i	−0.462118	+	0.886819i	$0.652910\pi$
$432$	−20.5220	−	3.29378i	−0.987363	−	0.158472i
$433$	17.7904	+	17.7904i	0.854954	+	0.854954i	0.990738	−	0.135785i	$-0.0433556\pi$
$433$	17.7904	+	17.7904i	0.854954	+	0.854954i	−0.135785	+	0.990738i	$0.543356\pi$
$434$	8.93134	−	16.5042i	0.428718	−	0.792229i
$435$	−1.66002	+	0.112918i	−0.0795921	+	0.00541400i
$436$	4.58902	−	12.7753i	0.219774	−	0.611826i
$437$	9.76175	+	36.4313i	0.466968	+	1.74275i
$438$	11.7736	−	32.7990i	0.562567	−	1.56720i
$439$	−2.54870	+	1.47149i	−0.121643	+	0.0702306i	−0.559587	−	0.828772i	$-0.689040\pi$
$439$	−2.54870	+	1.47149i	−0.121643	+	0.0702306i	0.437944	+	0.899002i	$0.355707\pi$
$440$	−13.9327	−	25.0115i	−0.664216	−	1.19238i
$441$	−1.16661	−	20.9676i	−0.0555531	−	0.998456i
$442$	1.21035	−	2.60994i	0.0575705	−	0.124142i
$443$	7.43540	−	27.7493i	0.353266	−	1.31841i	−0.529386	−	0.848381i	$-0.677578\pi$
$443$	7.43540	−	27.7493i	0.353266	−	1.31841i	0.882652	−	0.470027i	$-0.155756\pi$
$444$	2.56819	+	2.53485i	0.121881	+	0.120298i
$445$	−17.3361	−	5.05029i	−0.821808	−	0.239407i
$446$	−16.6577	−	13.9178i	−0.788765	−	0.659028i
$447$	−2.65991	+	15.2928i	−0.125809	+	0.723322i
$448$	−18.8283	+	9.66930i	−0.889553	+	0.456832i
$449$	−25.2557			−1.19189			−0.595945	−	0.803025i	$-0.703222\pi$
$449$	−25.2557			−1.19189			−0.595945	+	0.803025i	$0.703222\pi$
$450$	20.6775	−	4.73706i	0.974748	−	0.223307i
$451$	−8.13811	−	4.69854i	−0.383209	−	0.221246i
$452$	−8.43108	+	12.1494i	−0.396564	+	0.571458i
$453$	4.47977	+	12.2197i	0.210478	+	0.574130i
$454$	0.912437	+	2.49057i	0.0428228	+	0.116888i
$455$	−0.160146	+	1.91411i	−0.00750775	+	0.0897349i
$456$	32.0015	−	3.07855i	1.49861	−	0.144166i
$457$	24.3537	+	6.52556i	1.13922	+	0.305253i	0.778637	−	0.627474i	$-0.215911\pi$
$457$	24.3537	+	6.52556i	1.13922	+	0.305253i	0.360582	+	0.932727i	$0.382578\pi$
$458$	−3.17586	−	4.51534i	−0.148398	−	0.210988i
$459$	31.5059	+	8.20705i	1.47057	+	0.383072i
$460$	−19.9750	+	16.1751i	−0.931339	+	0.754169i
$461$	4.63479			0.215864			0.107932	−	0.994158i	$-0.465577\pi$
$461$	4.63479			0.215864			0.107932	+	0.994158i	$0.465577\pi$
$462$	10.8535	+	27.2559i	0.504952	+	1.26806i
$463$	−23.2833	−	23.2833i	−1.08207	−	1.08207i	−0.996317	−	0.0857512i	$-0.972671\pi$
$463$	−23.2833	−	23.2833i	−1.08207	−	1.08207i	−0.0857512	−	0.996317i	$-0.527329\pi$
$464$	−0.601312	−	1.60979i	−0.0279152	−	0.0747325i
$465$	−17.4425	−	8.54825i	−0.808876	−	0.396415i
$466$	−12.0173	−	2.09290i	−0.556690	−	0.0969516i
$467$	−19.6113	−	5.25484i	−0.907504	−	0.243165i	−0.225268	−	0.974297i	$-0.572326\pi$
$467$	−19.6113	−	5.25484i	−0.907504	−	0.243165i	−0.682236	+	0.731132i	$0.738992\pi$
$468$	−1.77275	−	0.807610i	−0.0819454	−	0.0373318i
$469$	−3.87185	+	0.784865i	−0.178786	+	0.0362417i
$470$	13.3810	+	19.9289i	0.617219	+	0.919252i
$471$	6.38603	−	13.7784i	0.294253	−	0.634874i
$472$	4.94032	+	1.29037i	0.227397	+	0.0593942i
$473$	−2.05443	−	7.66725i	−0.0944630	−	0.352541i
$474$	1.13664	−	13.6899i	0.0522078	−	0.628796i
$475$	−29.1004	+	15.1594i	−1.33522	+	0.695560i
$476$	30.8050	−	12.2591i	1.41195	−	0.561893i
$477$	−14.8882	−	31.5444i	−0.681685	−	1.44432i
$478$	−32.7836	+	2.93774i	−1.49949	+	0.134369i
$479$	−5.92500	+	10.2624i	−0.270720	+	0.468901i	−0.969046	−	0.246878i	$-0.920595\pi$
$479$	−5.92500	+	10.2624i	−0.270720	+	0.468901i	0.698326	+	0.715780i	$0.253929\pi$
$480$	10.7866	+	19.0696i	0.492339	+	0.870404i
$481$	0.169102	+	0.292894i	0.00771040	+	0.0133548i
$482$	2.18967	−	4.72168i	0.0997366	−	0.215067i
$483$	22.4343	−	13.7975i	1.02079	−	0.627807i
$484$	−12.2643	−	14.4917i	−0.557469	−	0.658714i
$485$	0.355268	−	16.3900i	0.0161319	−	0.744230i
$486$	5.41305	−	21.3705i	0.245541	−	0.969386i
$487$	6.98134	+	26.0547i	0.316355	+	1.18065i	0.922722	+	0.385467i	$0.125960\pi$
$487$	6.98134	+	26.0547i	0.316355	+	1.18065i	−0.606367	+	0.795185i	$0.707374\pi$
$488$	−27.8152	+	28.1688i	−1.25914	+	1.27514i
$489$	−24.6885	+	17.3727i	−1.11645	+	0.785619i
$490$	−16.5025	+	14.7535i	−0.745508	+	0.666496i
$491$	37.0507			1.67207			0.836037	−	0.548673i	$-0.184867\pi$
$491$	37.0507			1.67207			0.836037	+	0.548673i	$0.184867\pi$
$492$	6.25092	+	3.55472i	0.281813	+	0.160259i
$493$	0.696680	+	2.60005i	0.0313769	+	0.117100i
$494$	2.96852	+	0.516989i	0.133560	+	0.0232605i
$495$	27.7364	−	12.3632i	1.24666	−	0.555687i
$496$	3.31718	−	19.7854i	0.148946	−	0.888392i
$497$	2.58604	−	41.7928i	0.116000	−	1.87466i
$498$	15.2701	−	2.76232i	0.684272	−	0.123782i
$499$	−15.0503	−	26.0678i	−0.673743	−	1.16696i	−0.976835	−	0.213995i	$-0.931352\pi$
$499$	−15.0503	−	26.0678i	−0.673743	−	1.16696i	0.303092	−	0.952961i	$-0.401981\pi$
$500$	−17.5035	−	13.9150i	−0.782782	−	0.622296i
$501$	−13.3941	+	1.20320i	−0.598406	+	0.0537549i
$502$	−5.71149	+	0.511808i	−0.254916	+	0.0228431i
$503$	0.461456	−	0.461456i	0.0205753	−	0.0205753i	−0.696744	−	0.717320i	$-0.745369\pi$
$503$	0.461456	−	0.461456i	0.0205753	−	0.0205753i	0.717320	+	0.696744i	$0.245369\pi$
$504$	−8.44158	−	20.8024i	−0.376018	−	0.926612i
$505$	−8.19085	−	33.4524i	−0.364488	−	1.48861i
$506$	−23.5914	+	28.2356i	−1.04876	+	1.25522i
$507$	17.1422	+	14.3163i	0.761312	+	0.635808i
$508$	8.97662	−	12.9355i	0.398273	−	0.573921i
$509$	−9.62722	+	5.55828i	−0.426719	+	0.246366i	−0.697948	−	0.716149i	$-0.745903\pi$
$509$	−9.62722	+	5.55828i	−0.426719	+	0.246366i	0.271229	+	0.962515i	$0.412570\pi$
$510$	−13.9651	−	31.3485i	−0.618385	−	1.38813i
$511$	36.8900	−	7.47800i	1.63192	−	0.330807i
$512$	−15.6940	+	16.3002i	−0.693584	+	0.720375i
$513$	0.237668	+	34.0986i	0.0104933	+	1.50549i
$514$	5.03106	−	28.8880i	0.221910	−	1.27420i
$515$	2.29406	+	4.18008i	0.101088	+	0.184197i
$516$	1.61042	+	5.85685i	0.0708949	+	0.257833i
$517$	24.2981	+	24.2981i	1.06863	+	1.06863i
$518$	−0.904595	+	3.79116i	−0.0397456	+	0.166574i
$519$	−8.52332	−	12.1126i	−0.374132	−	0.531683i
$520$	0.500942	+	1.99138i	0.0219677	+	0.0873277i
$521$	−31.6790	−	18.2899i	−1.38788	−	0.801293i	−0.394804	−	0.918765i	$-0.629188\pi$
$521$	−31.6790	−	18.2899i	−1.38788	−	0.801293i	−0.993076	+	0.117472i	$0.962521\pi$
$522$	1.75734	−	0.483617i	0.0769165	−	0.0211673i
$523$	40.1383	+	10.7550i	1.75513	+	0.470284i	0.985708	−	0.168462i	$-0.0538802\pi$
$523$	40.1383	+	10.7550i	1.75513	+	0.470284i	0.769417	+	0.638747i	$0.220547\pi$
$524$	10.7304	+	12.6792i	0.468760	+	0.553894i
$525$	15.9479	+	16.4519i	0.696023	+	0.718019i
$526$	−0.346274	−	0.945184i	−0.0150983	−	0.0412120i
$527$	−8.13332	+	30.3540i	−0.354293	+	1.32224i
$528$	20.4167	+	23.8075i	0.888521	+	1.03609i
$529$	8.68774	+	5.01587i	0.377728	+	0.218081i
$530$	−16.1879	+	33.0128i	−0.703159	+	1.43399i
$531$	−1.82864	+	5.09773i	−0.0793563	+	0.221223i
$532$	20.7528	+	27.8417i	0.899750	+	1.20709i
$533$	0.476573	+	0.476573i	0.0206427	+	0.0206427i
$534$	19.7123	+	1.63668i	0.853034	+	0.0708259i
$535$	−3.03405	+	1.66511i	−0.131174	+	0.0719889i
$536$	−3.64414	+	2.13474i	−0.157403	+	0.0922068i
$537$	−21.1061	+	7.73756i	−0.910795	+	0.333901i
$538$	−3.10765	−	1.44116i	−0.133980	−	0.0621330i
$539$	−19.1063	+	25.2799i	−0.822968	+	1.08888i
$540$	−21.1626	+	9.59924i	−0.910692	+	0.413086i
$541$	0.732953	−	0.423170i	0.0315121	−	0.0181935i	−0.484161	−	0.874979i	$-0.660875\pi$
$541$	0.732953	−	0.423170i	0.0315121	−	0.0181935i	0.515673	+	0.856785i	$0.327542\pi$
$542$	12.4878	+	17.7548i	0.536399	+	0.762635i
$543$	1.08269	+	0.904207i	0.0464627	+	0.0388033i
$544$	26.9103	−	23.0674i	1.15377	−	0.989006i
$545$	−3.60943	−	14.7413i	−0.154611	−	0.631449i
$546$	−0.245961	−	2.08970i	−0.0105262	−	0.0894311i
$547$	0.469863	+	0.469863i	0.0200899	+	0.0200899i	0.717080	−	0.696990i	$-0.245478\pi$
$547$	0.469863	+	0.469863i	0.0200899	+	0.0200899i	−0.696990	+	0.717080i	$0.745478\pi$
$548$	32.4378	−	15.2926i	1.38567	−	0.653266i
$549$	−27.1391	−	32.0396i	−1.15827	−	1.36742i
$550$	−28.4282	−	14.7124i	−1.21218	−	0.627340i
$551$	−2.44156	+	1.40964i	−0.104014	+	0.0600525i
$552$	17.9114	−	21.7243i	0.762358	−	0.924648i
$553$	13.2834	−	6.61105i	0.564868	−	0.281131i
$554$	8.33288	−	3.05280i	0.354030	−	0.129701i
$555$	3.95880	+	0.777304i	0.168042	+	0.0329947i
$556$	18.3432	−	3.31409i	0.777925	−	0.140549i
$557$	0.763042	+	2.84771i	0.0323311	+	0.120661i	0.980205	−	0.197983i	$-0.0634391\pi$
$557$	0.763042	+	2.84771i	0.0323311	+	0.120661i	−0.947874	+	0.318644i	$0.896772\pi$
$558$	20.5902	+	5.36839i	0.871652	+	0.227262i
$559$			0.569308i			0.0240792i
$560$	−11.5809	+	20.6369i	−0.489384	+	0.872068i
$561$	−28.2717	−	40.1772i	−1.19363	−	1.69628i
$562$	1.50254	+	16.7675i	0.0633810	+	0.707296i
$563$	22.7766	−	6.10297i	0.959920	−	0.257210i	0.255353	−	0.966848i	$-0.417808\pi$
$563$	22.7766	−	6.10297i	0.959920	−	0.257210i	0.704566	+	0.709638i	$0.251142\pi$
$564$	−18.7148	−	18.4719i	−0.788036	−	0.777806i
$565$	−0.358299	+	16.5298i	−0.0150738	+	0.695414i
$566$	4.19137	+	11.4407i	0.176176	+	0.480888i
$567$	22.7723	−	6.95856i	0.956347	−	0.292232i
$568$	−11.8585	−	43.1645i	−0.497574	−	1.81114i
$569$	−20.5570	−	35.6057i	−0.861794	−	1.49267i	−0.870196	−	0.492705i	$-0.836008\pi$
$569$	−20.5570	−	35.6057i	−0.861794	−	1.49267i	0.00840260	−	0.999965i	$-0.497325\pi$
$570$	27.9290	−	22.6261i	1.16982	−	0.947704i
$571$	19.7956	+	11.4290i	0.828420	+	0.478289i	0.853312	−	0.521401i	$-0.174591\pi$
$571$	19.7956	+	11.4290i	0.828420	+	0.478289i	−0.0248911	+	0.999690i	$0.507924\pi$
$572$	1.25349	+	2.65884i	0.0524112	+	0.111172i
$573$	2.29934	−	13.2197i	0.0960564	−	0.552263i
$574$	0.214133	+	7.76418i	0.00893773	+	0.324071i
$575$	−8.63337	+	27.4091i	−0.360037	+	1.14304i
$576$	−15.7422	−	18.1158i	−0.655926	−	0.754825i
$577$	0.853067	+	3.18369i	0.0355136	+	0.132539i	0.981407	−	0.191940i	$-0.0614779\pi$
$577$	0.853067	+	3.18369i	0.0355136	+	0.132539i	−0.945893	+	0.324479i	$0.894811\pi$
$578$	−25.7473	+	18.1093i	−1.07095	+	0.753250i
$579$	−2.95649	+	6.37887i	−0.122868	+	0.265097i
$580$	−1.55432	−	1.12930i	−0.0645397	−	0.0468917i
$581$	11.0975	+	12.5614i	0.460400	+	0.521135i
$582$	3.19675	+	17.6717i	0.132510	+	0.732517i
$583$	−13.6227	+	50.8408i	−0.564196	+	2.10561i
$584$	34.7204	−	20.3393i	1.43674	−	0.841645i
$585$	−2.15102	+	0.341630i	−0.0889337	+	0.0141247i
$586$	24.6345	+	20.5826i	1.01764	+	0.850258i
$587$	−2.73530	+	2.73530i	−0.112898	+	0.112898i	−0.761299	−	0.648401i	$-0.775438\pi$
$587$	−2.73530	+	2.73530i	−0.112898	+	0.112898i	0.648401	+	0.761299i	$0.275438\pi$
$588$	14.4941	−	19.4402i	0.597727	−	0.801699i
$589$	−32.9133			−1.35617
$590$	5.40164	−	1.84717i	0.222382	−	0.0760468i
$591$	−0.945154	−	10.5216i	−0.0388784	−	0.432799i
$592$	0.398089	+	4.14764i	0.0163613	+	0.170467i
$593$	15.8533	+	4.24789i	0.651019	+	0.174440i	0.569190	−	0.822206i	$-0.307257\pi$
$593$	15.8533	+	4.24789i	0.651019	+	0.174440i	0.0818294	+	0.996646i	$0.473924\pi$
$594$	−27.0752	+	19.3268i	−1.11091	+	0.792987i
$595$	21.1460	−	30.4449i	0.866902	−	1.24812i
$596$	−13.6817	+	11.5788i	−0.560424	+	0.474287i
$597$	−20.2056	+	7.40743i	−0.826959	+	0.303166i
$598$	2.15850	−	1.51818i	0.0882675	−	0.0620829i
$599$	7.47868	−	12.9535i	0.305571	−	0.529264i	−0.671818	−	0.740717i	$-0.734486\pi$
$599$	7.47868	−	12.9535i	0.305571	−	0.529264i	0.977388	+	0.211453i	$0.0678194\pi$
$600$	21.8273	+	11.1161i	0.891097	+	0.453812i
$601$	−37.6410			−1.53541			−0.767704	−	0.640805i	$-0.778601\pi$
$601$	−37.6410			−1.53541			−0.767704	+	0.640805i	$0.778601\pi$
$602$	−4.50960	+	4.76540i	−0.183797	+	0.194223i
$603$	−1.91199	−	4.05102i	−0.0778622	−	0.164970i
$604$	−5.08050	+	14.1436i	−0.206723	+	0.575493i
$605$	−20.3785	−	5.93662i	−0.828506	−	0.241358i
$606$	16.0957	+	34.1220i	0.653843	+	1.38611i
$607$	0.371474	+	0.0995362i	0.0150777	+	0.00404005i	0.266350	−	0.963876i	$-0.414182\pi$
$607$	0.371474	+	0.0995362i	0.0150777	+	0.00404005i	−0.251272	+	0.967916i	$0.580849\pi$
$608$	30.6316	+	20.9715i	1.24228	+	0.850508i
$609$	1.43023	+	1.35287i	0.0579558	+	0.0548209i
$610$	−8.53707	+	43.4290i	−0.345656	+	1.75839i
$611$	−1.23228	−	2.13437i	−0.0498527	−	0.0863473i
$612$	21.8349	+	30.6029i	0.882623	+	1.23705i
$613$	2.92281	+	10.9081i	0.118051	+	0.440573i	0.999497	−	0.0317118i	$-0.0100959\pi$
$613$	2.92281	+	10.9081i	0.118051	+	0.440573i	−0.881446	+	0.472285i	$0.843429\pi$
$614$	−9.81015	−	8.19657i	−0.395905	−	0.330786i
$615$	8.02121	−	0.545617i	0.323446	−	0.0220014i
$616$	−10.5688	+	32.1850i	−0.425830	+	1.29677i
$617$	3.04424	+	3.04424i	0.122556	+	0.122556i	0.765725	−	0.643168i	$-0.222380\pi$
$617$	3.04424	+	3.04424i	0.122556	+	0.122556i	−0.643168	+	0.765725i	$0.722380\pi$
$618$	−3.37516	−	3.98638i	−0.135769	−	0.160356i
$619$	−0.319983	+	0.554226i	−0.0128612	+	0.0222762i	−0.872384	−	0.488821i	$-0.837427\pi$
$619$	−0.319983	+	0.554226i	−0.0128612	+	0.0222762i	0.859523	+	0.511097i	$0.170761\pi$
$620$	−9.12272	−	20.4905i	−0.366377	−	0.822918i
$621$	21.2637	+	20.9693i	0.853282	+	0.841470i
$622$	8.11784	+	3.76463i	0.325496	+	0.150948i
$623$	9.51938	+	19.1270i	0.381386	+	0.766309i
$624$	−0.972488	−	2.02833i	−0.0389307	−	0.0811980i
$625$	−24.9061	−	2.16454i	−0.996245	−	0.0865817i
$626$	−8.30086	+	47.6630i	−0.331769	+	1.90500i
$627$	32.9826	−	39.4931i	1.31720	−	1.57720i
$628$	15.8614	−	7.47774i	0.632938	−	0.298394i
$629$		−	6.52677i		−	0.260239i
$630$	−20.7112	−	14.1790i	−0.825156	−	0.564905i
$631$	−2.65551			−0.105714			−0.0528572	−	0.998602i	$-0.516833\pi$
$631$	−2.65551			−0.105714			−0.0528572	+	0.998602i	$0.516833\pi$
$632$	11.1451	−	11.2868i	0.443330	−	0.448965i
$633$	19.1223	+	15.9700i	0.760045	+	0.634750i
$634$	19.7564	+	3.44073i	0.784628	+	0.136649i
$635$	0.381484	−	17.5994i	0.0151387	−	0.698411i
$636$	10.1702	−	38.9724i	0.403274	−	1.54535i
$637$	1.79292	−	1.39667i	0.0710380	−	0.0553382i
$638$	−2.49507	−	1.15708i	−0.0987809	−	0.0458094i
$639$	46.7191	−	8.46185i	1.84818	−	0.334746i
$640$	−4.56572	+	24.8828i	−0.180476	+	0.983579i
$641$	−30.6677	−	17.7060i	−1.21130	−	0.699345i	−0.248258	−	0.968694i	$-0.579858\pi$
$641$	−30.6677	−	17.7060i	−1.21130	−	0.699345i	−0.963043	+	0.269349i	$0.913192\pi$
$642$	2.89346	−	2.44981i	0.114196	−	0.0966864i
$643$	−17.2121	+	17.2121i	−0.678781	+	0.678781i	−0.959724	−	0.280943i	$-0.909353\pi$
$643$	−17.2121	+	17.2121i	−0.678781	+	0.678781i	0.280943	+	0.959724i	$0.409353\pi$
$644$	30.0935	+	4.38995i	1.18585	+	0.172988i
$645$	5.11691	+	4.46513i	0.201478	+	0.175814i
$646$	−44.6238	−	37.2840i	−1.75570	−	1.46692i
$647$	17.5527	−	4.70324i	0.690070	−	0.184904i	0.103291	−	0.994651i	$-0.467063\pi$
$647$	17.5527	−	4.70324i	0.690070	−	0.184904i	0.586778	+	0.809748i	$0.300396\pi$
$648$	20.6218	−	14.9245i	0.810100	−	0.586292i
$649$	7.07730	−	4.08608i	0.277808	−	0.160393i
$650$	1.69634	+	1.54696i	0.0665360	+	0.0606768i
$651$	6.56314	+	22.0264i	0.257230	+	0.863284i
$652$	−34.7382	−	2.89188i	−1.36045	−	0.113255i
$653$	−6.85950	+	25.6000i	−0.268433	+	1.00181i	0.691683	+	0.722202i	$0.256870\pi$
$653$	−6.85950	+	25.6000i	−0.268433	+	1.00181i	−0.960116	+	0.279604i	$0.909797\pi$
$654$	7.09282	+	15.0364i	0.277351	+	0.587970i
$655$	17.8298	+	5.19412i	0.696667	+	0.202951i
$656$	2.90553	+	7.77847i	0.113442	+	0.303698i
$657$	18.2169	+	38.5971i	0.710710	+	1.50582i
$658$	6.59194	−	27.6269i	0.256981	−	1.07701i
$659$		−	24.3580i		−	0.948851i	−0.880296	−	0.474426i	$-0.842656\pi$
$659$		−	24.3580i		−	0.948851i	0.880296	−	0.474426i	$-0.157344\pi$
$660$	33.7288	+	9.58716i	1.31289	+	0.373180i
$661$	4.23280	+	2.44381i	0.164637	+	0.0950530i	0.580054	−	0.814578i	$-0.303031\pi$
$661$	4.23280	+	2.44381i	0.164637	+	0.0950530i	−0.415418	+	0.909631i	$0.636365\pi$
$662$	2.78478	−	1.95867i	0.108234	−	0.0761260i
$663$	1.21280	+	3.30820i	0.0471012	+	0.128480i
$664$	15.5743	+	8.86114i	0.604398	+	0.343879i
$665$	36.5327	+	13.1400i	1.41668	+	0.509548i
$666$	−4.41935	+	0.0298383i	−0.171246	+	0.00115621i
$667$	−0.639047	+	2.38496i	−0.0247440	+	0.0923459i
$668$	−12.7576	−	8.85314i	−0.493606	−	0.342538i
$669$	26.4787	−	2.37858i	1.02372	−	0.0919614i
$670$	−2.07890	+	4.23960i	−0.0803149	+	0.163790i
$671$			63.3591i			2.44595i
$672$	7.92653	−	24.6814i	0.305773	−	0.952105i
$673$	2.29256	+	2.29256i	0.0883718	+	0.0883718i	0.749911	−	0.661539i	$-0.230096\pi$
$673$	2.29256	+	2.29256i	0.0883718	+	0.0883718i	−0.661539	+	0.749911i	$0.730096\pi$
$674$	−13.8237	+	16.5450i	−0.532468	+	0.637290i
$675$	−13.8000	+	22.0127i	−0.531164	+	0.847269i
$676$	4.58513	+	25.3783i	0.176351	+	0.976088i
$677$	35.3951	+	9.48409i	1.36034	+	0.364503i	0.863943	−	0.503590i	$-0.167988\pi$
$677$	35.3951	+	9.48409i	1.36034	+	0.364503i	0.496401	+	0.868093i	$0.334654\pi$
$678$	−3.22403	−	17.8225i	−0.123818	−	0.684468i
$679$	−14.5370	+	12.8428i	−0.557878	+	0.492861i
$680$	10.8430	−	38.1152i	0.415808	−	1.46165i
$681$	−2.94739	−	1.36606i	−0.112944	−	0.0523477i
$682$	−18.4719	−	26.2627i	−0.707324	−	1.00565i
$683$	9.21808	−	2.46998i	0.352720	−	0.0945110i	−0.0781085	−	0.996945i	$-0.524888\pi$
$683$	9.21808	−	2.46998i	0.352720	−	0.0945110i	0.430829	+	0.902434i	$0.358221\pi$
$684$	−25.0414	+	30.3857i	−0.957482	+	1.16183i
$685$	20.7951	−	34.2805i	0.794541	−	1.30979i
$686$	26.0709	+	2.51119i	0.995393	+	0.0958778i
$687$	6.66103	+	1.15857i	0.254134	+	0.0442022i
$688$	−2.91057	+	6.38149i	−0.110965	+	0.243292i
$689$	1.88751	−	3.26926i	0.0719084	−	0.124549i
$690$	3.28395	−	31.3076i	0.125018	−	1.19186i
$691$	−22.6510	+	13.0776i	−0.861685	+	0.497494i	−0.864576	−	0.502502i	$-0.832413\pi$
$691$	−22.6510	+	13.0776i	−0.861685	+	0.497494i	0.00289134	+	0.999996i	$0.499080\pi$
$692$	1.41881	−	17.0432i	0.0539349	−	0.647883i
$693$	−33.0068	−	14.1976i	−1.25382	−	0.539323i
$694$	15.3821	+	41.9869i	0.583898	+	1.59380i
$695$	15.0522	−	14.4135i	0.570964	−	0.546737i
$696$	1.91506	+	0.872947i	0.0725901	+	0.0330890i
$697$	−3.36635	−	12.5634i	−0.127510	−	0.475872i
$698$	1.59104	−	0.142574i	0.0602219	−	0.00539650i
$699$	12.2179	−	8.59744i	0.462123	−	0.325185i
$700$	1.94549	+	26.3859i	0.0735325	+	0.997293i
$701$	−14.5794			−0.550656			−0.275328	−	0.961350i	$-0.588786\pi$
$701$	−14.5794			−0.550656			−0.275328	+	0.961350i	$0.588786\pi$
$702$	2.23448	−	0.836323i	0.0843348	−	0.0315650i
$703$	6.60300	−	1.76927i	0.249037	−	0.0667292i
$704$	0.457387	+	36.2119i	0.0172384	+	1.36479i
$705$	−28.8485	−	5.66435i	−1.08650	−	0.213332i
$706$	−12.9163	−	35.2561i	−0.486111	−	1.32688i
$707$	−22.5160	+	33.9653i	−0.846800	+	1.27740i
$708$	−5.39525	+	3.16213i	−0.202766	+	0.118840i
$709$	−22.4625	−	38.9061i	−0.843595	−	1.46115i	−0.886836	−	0.462085i	$-0.847101\pi$
$709$	−22.4625	−	38.9061i	−0.843595	−	1.46115i	0.0432403	−	0.999065i	$-0.486232\pi$
$710$	−37.7018	−	32.9139i	−1.41492	−	1.23524i
$711$	10.8742	+	12.8378i	0.407815	+	0.481454i
$712$	16.2521	+	16.0481i	0.609072	+	0.601428i
$713$	−20.3824	+	20.3824i	−0.763328	+	0.763328i
$714$	−16.0531	+	37.2981i	−0.600774	+	1.39585i
$715$	2.80988	+	1.70453i	0.105084	+	0.0637456i
$716$	−24.4291	−	8.77515i	−0.912957	−	0.327943i
$717$	25.8405	−	30.9412i	0.965031	−	1.15552i
$718$	19.6118	+	27.8834i	0.731906	+	1.04060i
$719$	−11.8847	−	20.5849i	−0.443225	−	0.767687i	0.554702	−	0.832049i	$-0.312832\pi$
$719$	−11.8847	−	20.5849i	−0.443225	−	0.767687i	−0.997927	+	0.0643616i	$0.979499\pi$
$720$	−25.8578	−	7.16763i	−0.963663	−	0.267122i
$721$	1.79399	−	5.34899i	0.0668115	−	0.199207i
$722$	14.3184	−	30.8755i	0.532877	−	1.14907i
$723$	2.19410	+	5.98493i	0.0815993	+	0.222582i
$724$	0.289594	+	1.60288i	0.0107627	+	0.0595705i
$725$	−2.14602	−	0.0930777i	−0.0797011	−	0.00345682i
$726$	23.1718	+	1.92391i	0.859987	+	0.0714031i
$727$	−9.93030	+	9.93030i	−0.368295	+	0.368295i	−0.866855	−	0.498560i	$-0.833862\pi$
$727$	−9.93030	+	9.93030i	−0.368295	+	0.368295i	0.498560	+	0.866855i	$0.333862\pi$
$728$	1.32964	−	2.03352i	0.0492796	−	0.0753674i
$729$	13.8246	+	23.1922i	0.512023	+	0.858972i
$730$	19.8072	−	40.3939i	0.733099	−	1.49504i
$731$	5.49333	−	9.51473i	0.203178	−	0.351915i
$732$	−0.316765	−	48.4835i	−0.0117080	−	1.79200i
$733$	1.59065	+	0.426214i	0.0587520	+	0.0157426i	0.288075	−	0.957608i	$-0.406985\pi$
$733$	1.59065	+	0.426214i	0.0587520	+	0.0157426i	−0.229323	+	0.973350i	$0.573651\pi$
$734$	−3.65679	−	9.98153i	−0.134975	−	0.368425i
$735$	1.50877	−	27.0689i	0.0556519	−	0.998450i
$736$	31.9567	−	5.98228i	1.17794	−	0.220510i
$737$	−1.74947	+	6.52912i	−0.0644426	+	0.240503i
$738$	−8.49142	+	2.33683i	−0.312574	+	0.0860199i
$739$	−10.6038	+	18.3663i	−0.390066	+	0.675614i	−0.992458	−	0.122586i	$-0.960881\pi$
$739$	−10.6038	+	18.3663i	−0.390066	+	0.675614i	0.602392	+	0.798200i	$0.294214\pi$
$740$	2.93166	+	3.62037i	0.107770	+	0.133087i
$741$	−3.01808	+	2.12375i	−0.110872	+	0.0780178i
$742$	41.6959	−	12.4141i	1.53070	−	0.455735i
$743$	−6.22673	+	6.22673i	−0.228437	+	0.228437i	−0.812039	−	0.583603i	$-0.801643\pi$
$743$	−6.22673	+	6.22673i	−0.228437	+	0.228437i	0.583603	+	0.812039i	$0.301643\pi$
$744$	14.2663	+	20.0043i	0.523028	+	0.733395i
$745$	−5.60480	+	19.2395i	−0.205344	+	0.704881i
$746$	2.15313	+	0.374984i	0.0788318	+	0.0137291i
$747$	−10.8287	+	15.6189i	−0.396201	+	0.571467i
$748$	4.70616	−	56.5318i	0.172074	−	2.06701i
$749$	3.88249	+	1.30214i	0.141863	+	0.0475791i
$750$	27.2085	−	3.11373i	0.993515	−	0.113697i
$751$	10.5867	+	18.3367i	0.386313	+	0.669114i	0.991950	−	0.126627i	$-0.0404150\pi$
$751$	10.5867	+	18.3367i	0.386313	+	0.669114i	−0.605637	+	0.795741i	$0.707082\pi$
$752$	−2.90094	−	30.2246i	−0.105787	−	1.10218i
$753$	4.50188	−	5.39052i	0.164058	−	0.196441i
$754$	0.151375	+	0.126476i	0.00551274	+	0.00460600i
$755$	3.99600	+	16.3201i	0.145429	+	0.593950i
$756$	25.3284	+	10.6993i	0.921184	+	0.389128i
$757$	0.0101012	+	0.0101012i	0.000367133	+	0.000367133i	0.707290	−	0.706923i	$-0.249917\pi$
$757$	0.0101012	+	0.0101012i	0.000367133	+	0.000367133i	−0.706923	+	0.707290i	$0.749917\pi$
$758$	−12.4491	+	1.11557i	−0.452173	+	0.0405193i
$759$	−4.03181	−	44.8826i	−0.146345	−	1.62913i
$760$	41.4996	+	0.637380i	1.50535	+	0.0231202i
$761$	13.0967	−	7.56139i	0.474756	−	0.274100i	−0.243473	−	0.969908i	$-0.578287\pi$
$761$	13.0967	−	7.56139i	0.474756	−	0.274100i	0.718228	+	0.695807i	$0.244953\pi$
$762$	3.43264	+	18.9757i	0.124352	+	0.687418i
$763$	−9.92202	+	14.9674i	−0.359201	+	0.541855i
$764$	11.8271	−	10.0093i	0.427889	−	0.362122i
$765$	39.2460	+	15.0459i	1.41894	+	0.543985i
$766$	−35.3093	−	6.14938i	−1.27578	−	0.222186i
$767$	−0.566151	+	0.151700i	−0.0204425	+	0.00547756i
$768$	−0.531043	−	27.7077i	−0.0191624	−	0.999816i
$769$			20.8029i			0.750171i	0.926990	+	0.375086i	$0.122387\pi$
$769$			20.8029i			0.750171i	−0.926990	+	0.375086i	$0.877613\pi$
$770$	10.0183	+	36.5254i	0.361034	+	1.31628i
$771$	20.6671	+	29.3703i	0.744309	+	1.05774i
$772$	−7.34322	+	3.46191i	−0.264288	+	0.124597i
$773$	−5.02848	+	1.34738i	−0.180862	+	0.0484618i	−0.348113	−	0.937453i	$-0.613178\pi$
$773$	−5.02848	+	1.34738i	−0.180862	+	0.0484618i	0.167251	+	0.985914i	$0.446511\pi$
$774$	−6.46765	−	3.67610i	−0.232475	−	0.132135i
$775$	−21.1536	−	13.4678i	−0.759859	−	0.483776i
$776$	−10.2548	+	18.0237i	−0.368124	+	0.647012i
$777$	−2.50073	−	4.06610i	−0.0897131	−	0.145870i
$778$	26.4462	+	12.2644i	0.948142	+	0.439698i
$779$	11.7976	−	6.81134i	0.422692	−	0.244041i
$780$	−2.15869	−	1.29028i	−0.0772937	−	0.0461996i
$781$	−62.0453	−	35.8219i	−2.22016	−	1.28181i
$782$	−50.7236	+	4.54535i	−1.81387	+	0.162542i
$783$	−1.10265	+	1.94096i	−0.0394055	+	0.0693644i
$784$	27.2376	−	6.48932i	0.972773	−	0.231762i
$785$	10.1684	−	16.7624i	0.362925	−	0.598277i
$786$	−20.2737	−	1.68329i	−0.723139	−	0.0600409i
$787$	31.0976	−	8.33259i	1.10851	−	0.297025i	0.342285	−	0.939596i	$-0.388799\pi$
$787$	31.0976	−	8.33259i	1.10851	−	0.297025i	0.766226	+	0.642571i	$0.222132\pi$
$788$	6.95445	−	10.0215i	0.247742	−	0.357002i
$789$	1.11855	+	0.518427i	0.0398214	+	0.0184565i
$790$	3.42067	−	17.4013i	0.121702	−	0.619111i
$791$	14.6610	−	12.9523i	0.521285	−	0.460532i
$792$	−38.2999	−	2.92815i	−1.36093	−	0.104047i
$793$	1.17613	−	4.38939i	0.0417657	−	0.155872i
$794$	6.75705	−	38.7986i	0.239799	−	1.37691i
$795$	−14.5801	−	42.6059i	−0.517103	−	1.51108i
$796$	−23.3868	−	8.40075i	−0.828922	−	0.297757i
$797$	−3.02678	+	3.02678i	−0.107214	+	0.107214i	−0.758679	−	0.651465i	$-0.774155\pi$
$797$	−3.02678	+	3.02678i	−0.107214	+	0.107214i	0.651465	+	0.758679i	$0.274155\pi$
$798$	−42.0854	−	6.12992i	−1.48981	−	0.216997i
$799$			47.5617i			1.68261i
$800$	11.1058	+	26.0127i	0.392651	+	0.919688i
$801$	−18.4853	+	15.6580i	−0.653147	+	0.553248i
$802$	12.1270	−	8.52950i	0.428219	−	0.301187i
$803$	16.6685	−	62.2078i	0.588219	−	2.19526i
$804$	1.30608	−	5.00494i	0.0460620	−	0.176511i
$805$	30.7612	−	14.4866i	1.08419	−	0.510584i
$806$	0.792179	+	2.16232i	0.0279033	+	0.0761645i
$807$	3.93907	−	1.44408i	0.138662	−	0.0508339i
$808$	−11.0093	+	42.1502i	−0.387306	+	1.48284i
$809$	−1.64827	+	2.85488i	−0.0579500	+	0.100372i	−0.893545	−	0.448974i	$-0.851790\pi$
$809$	−1.64827	+	2.85488i	−0.0579500	+	0.100372i	0.835595	+	0.549346i	$0.185123\pi$
$810$	10.0083	−	26.6427i	0.351657	−	0.936129i
$811$			37.6515i			1.32212i	0.750332	+	0.661061i	$0.229894\pi$
$811$			37.6515i			1.32212i	−0.750332	+	0.661061i	$0.770106\pi$
$812$	0.265239	+	2.25774i	0.00930808	+	0.0792311i
$813$	−26.1919	−	4.55562i	−0.918591	−	0.159773i
$814$	5.11756	+	4.27581i	0.179370	+	0.149867i
$815$	−34.1658	+	18.7504i	−1.19678	+	0.656799i
$816$	−3.31860	+	43.2827i	−0.116174	+	1.51520i
$817$	11.1150	+	2.97825i	0.388864	+	0.104196i
$818$	13.5574	+	6.28723i	0.474025	+	0.219828i
$819$	2.02309	+	1.59629i	0.0706926	+	0.0557788i
$820$	7.51046	+	5.45677i	0.262277	+	0.190559i
$821$	−12.5365	−	21.7139i	−0.437528	−	0.757820i	0.559970	−	0.828513i	$-0.310813\pi$
$821$	−12.5365	−	21.7139i	−0.437528	−	0.757820i	−0.997498	+	0.0706922i	$0.977479\pi$
$822$	−14.8392	+	41.3389i	−0.517575	+	1.44186i
$823$	−31.1073	+	8.33518i	−1.08433	+	0.290546i	−0.756370	−	0.654144i	$-0.773029\pi$
$823$	−31.1073	+	8.33518i	−1.08433	+	0.290546i	−0.327963	+	0.944690i	$0.606362\pi$
$824$	−0.0380883	−	6.03124i	−0.00132687	−	0.210108i
$825$	37.3583	−	11.8864i	1.30065	−	0.413831i
$826$	−5.94061	−	3.21478i	−0.206700	−	0.111857i
$827$	15.3668	−	15.3668i	0.534356	−	0.534356i	−0.387510	−	0.921866i	$-0.626665\pi$
$827$	15.3668	−	15.3668i	0.534356	−	0.534356i	0.921866	+	0.387510i	$0.126665\pi$
$828$	3.30960	+	34.3248i	0.115017	+	1.19287i
$829$	13.9213	−	24.1124i	0.483507	−	0.837458i	−0.516314	−	0.856399i	$-0.672696\pi$
$829$	13.9213	−	24.1124i	0.483507	−	0.837458i	0.999821	+	0.0189412i	$0.00602955\pi$
$830$	19.9877	−	1.35522i	0.693785	−	0.0470404i
$831$	−4.57053	+	9.86129i	−0.158550	+	0.342084i
$832$	0.640514	−	2.51718i	0.0222058	−	0.0872675i
$833$	−43.4414	+	6.04218i	−1.50515	+	0.209349i
$834$	−13.0115	+	18.7586i	−0.450551	+	0.649557i
$835$	−17.3573	−	0.376236i	−0.600674	−	0.0130202i
$836$	58.4679	−	10.5635i	2.02215	−	0.365345i
$837$	−22.4779	+	13.1874i	−0.776950	+	0.455822i
$838$	2.50079	+	27.9074i	0.0863884	+	0.964046i
$839$	27.4785			0.948664			0.474332	−	0.880346i	$-0.342690\pi$
$839$	27.4785			0.948664			0.474332	+	0.880346i	$0.342690\pi$
$840$	−7.84877	−	27.8998i	−0.270808	−	0.962633i
$841$	28.8154			0.993636
$842$	1.52701	+	17.0405i	0.0526241	+	0.587256i
$843$	−15.8252	−	13.2164i	−0.545050	−	0.455198i
$844$	5.11477	+	28.3098i	0.176058	+	0.974464i
$845$	19.9415	+	20.8252i	0.686009	+	0.716408i
$846$	32.2046	−	0.217437i	1.10722	−	0.00747563i
$847$	11.1900	+	22.4838i	0.384494	+	0.772554i
$848$	37.8715	−	26.9960i	1.30051	−	0.927046i
$849$	−13.5391	−	6.27515i	−0.464662	−	0.215363i
$850$	−13.4238	−	42.2223i	−0.460433	−	1.44821i
$851$	2.99342	−	5.18475i	0.102613	−	0.177731i
$852$	47.6573	+	27.1013i	1.63271	+	0.928477i
$853$	−27.3218	+	27.3218i	−0.935480	+	0.935480i	−0.998041	−	0.0625610i	$-0.980073\pi$
$853$	−27.3218	+	27.3218i	−0.935480	+	0.935480i	0.0625610	+	0.998041i	$0.480073\pi$
$854$	44.6140	−	27.4250i	1.52666	−	0.938465i
$855$	−4.58286	+	43.7830i	−0.156731	+	1.49735i
$856$	4.37769	−	0.0276458i	0.149626	−	0.000944915i
$857$	1.15958	−	0.310708i	0.0396105	−	0.0106136i	−0.238959	−	0.971030i	$-0.576806\pi$
$857$	1.15958	−	0.310708i	0.0396105	−	0.0106136i	0.278570	+	0.960416i	$0.410140\pi$
$858$	−3.38845	−	1.21633i	−0.115680	−	0.0415248i
$859$	−25.0727	−	43.4273i	−0.855471	−	1.48172i	−0.876207	−	0.481934i	$-0.839934\pi$
$859$	−25.0727	−	43.4273i	−0.855471	−	1.48172i	0.0207365	−	0.999785i	$-0.493399\pi$
$860$	1.22665	+	7.74525i	0.0418285	+	0.264111i
$861$	−6.91085	−	6.53703i	−0.235521	−	0.222781i
$862$	−2.30146	−	1.06729i	−0.0783879	−	0.0363522i
$863$	16.5319	+	4.42971i	0.562753	+	0.150789i	0.528971	−	0.848640i	$-0.322578\pi$
$863$	16.5319	+	4.42971i	0.562753	+	0.150789i	0.0337822	+	0.999429i	$0.489245\pi$
$864$	29.3224	+	2.04919i	0.997567	+	0.0697148i
$865$	−9.19927	−	16.7623i	−0.312785	−	0.569936i
$866$	−27.3046	−	22.8135i	−0.927848	−	0.775235i
$867$	6.60637	−	37.9824i	0.224364	−	1.28995i
$868$	−10.4972	+	24.3747i	−0.356298	+	0.827331i
$869$		−	25.3870i		−	0.861196i
$870$	2.32401	−	0.368585i	0.0787912	−	0.0124962i
$871$	0.242400	−	0.419848i	0.00821340	−	0.0142260i
$872$	−4.85142	+	18.5741i	−0.164290	+	0.629000i
$873$	−18.0754	−	12.5317i	−0.611759	−	0.424135i
$874$	−18.3485	−	50.0839i	−0.620649	−	1.69411i
$875$	18.1031	+	23.3940i	0.611996	+	0.790861i
$876$	−12.4440	+	47.6858i	−0.420445	+	1.61115i
$877$	5.44771	−	20.3311i	0.183956	−	0.686533i	−0.810896	−	0.585191i	$-0.801020\pi$
$877$	5.44771	−	20.3311i	0.183956	−	0.686533i	0.994852	−	0.101342i	$-0.0323137\pi$
$878$	3.40429	−	2.39441i	0.114889	−	0.0808073i
$879$	−39.1583	+	3.51760i	−1.32078	+	0.118646i
$880$	22.7822	+	33.4718i	0.767988	+	1.12834i
$881$			37.5417i			1.26481i	0.774638	+	0.632405i	$0.217932\pi$
$881$			37.5417i			1.26481i	−0.774638	+	0.632405i	$0.782068\pi$
$882$	4.28983	+	29.3870i	0.144446	+	0.989513i
$883$	34.4246	−	34.4246i	1.15848	−	1.15848i	0.173677	−	0.984803i	$-0.444435\pi$
$883$	34.4246	−	34.4246i	1.15848	−	1.15848i	0.984803	−	0.173677i	$-0.0555649\pi$
$884$	−1.37543	+	3.82905i	−0.0462608	+	0.128785i
$885$	−3.07689	+	6.27833i	−0.103429	+	0.211044i
$886$	−6.97070	+	40.0253i	−0.234185	+	1.34468i
$887$	8.28200	−	30.9089i	0.278082	−	1.03782i	−0.675665	−	0.737209i	$-0.736143\pi$
$887$	8.28200	−	30.9089i	0.278082	−	1.03782i	0.953747	−	0.300609i	$-0.0971899\pi$
$888$	−3.93742	−	3.24634i	−0.132131	−	0.108940i
$889$	−15.6097	+	13.7904i	−0.523531	+	0.462517i
$890$	25.0565	+	4.92549i	0.839896	+	0.165103i
$891$	6.70155	−	40.1867i	0.224510	−	1.34631i
$892$	25.2203	+	17.5017i	0.844437	+	0.585999i
$893$	−48.1172	+	12.8930i	−1.61018	+	0.431447i
$894$	1.81638	−	21.8766i	0.0607487	−	0.731664i
$895$	−28.1885	+	6.90198i	−0.942237	+	0.230708i
$896$	25.3005	−	15.9964i	0.845230	−	0.534403i
$897$	−0.553838	+	3.18421i	−0.0184921	+	0.106318i
$898$	35.5744	−	3.18783i	1.18713	−	0.106379i
$899$	−1.86598	−	1.07732i	−0.0622339	−	0.0359308i
$900$	−28.5278	+	9.28244i	−0.950927	+	0.309415i
$901$	−63.0912	+	36.4257i	−2.10187	+	1.21352i
$902$	12.0562	+	5.59101i	0.401426	+	0.186160i
$903$	−0.223283	−	8.03233i	−0.00743039	−	0.267299i
$904$	10.3422	−	18.1774i	0.343978	−	0.604572i
$905$	1.25949	+	1.31530i	0.0418670	+	0.0437222i
$906$	−7.85247	−	16.6468i	−0.260881	−	0.553053i
$907$	−36.7111	+	9.83671i	−1.21897	+	0.326623i	−0.810276	−	0.586048i	$-0.800683\pi$
$907$	−36.7111	+	9.83671i	−1.21897	+	0.326623i	−0.408696	+	0.912671i	$0.634016\pi$
$908$	−1.59960	−	3.39298i	−0.0530845	−	0.112600i
$909$	−43.4932	−	15.6017i	−1.44258	−	0.517477i
$910$	−0.0160268	−	2.71637i	−0.000531283	−	0.0900468i
$911$		−	20.4092i		−	0.676187i	−0.941112	−	0.338094i	$-0.890218\pi$
$911$		−	20.4092i		−	0.676187i	0.941112	−	0.338094i	$-0.109782\pi$
$912$	−44.6878	+	8.37565i	−1.47976	+	0.277346i
$913$	27.7013	−	7.42254i	0.916779	−	0.245650i
$914$	−35.1276	−	6.11773i	−1.16192	−	0.202356i
$915$	−30.2271	−	44.9973i	−0.999277	−	1.48757i
$916$	5.04336	+	5.95931i	0.166637	+	0.196901i
$917$	−9.79049	−	19.6718i	−0.323310	−	0.649619i
$918$	−45.4141	−	7.58346i	−1.49889	−	0.250292i
$919$	−31.3447	+	18.0969i	−1.03397	+	0.596961i	−0.918118	−	0.396306i	$-0.870292\pi$
$919$	−31.3447	+	18.0969i	−1.03397	+	0.596961i	−0.115848	+	0.993267i	$0.536959\pi$
$920$	26.0945	−	25.3051i	0.860310	−	0.834283i
$921$	15.5940	−	1.40081i	0.513839	−	0.0461583i
$922$	−6.52843	+	0.585013i	−0.215002	+	0.0192664i
$923$	3.63341	+	3.63341i	0.119595	+	0.119595i
$924$	−18.7283	−	37.0218i	−0.616114	−	1.21793i
$925$	4.96776	+	1.56476i	0.163339	+	0.0514489i
$926$	35.7351	+	29.8573i	1.17433	+	0.981172i
$927$	6.37540	+	0.527936i	0.209396	+	0.0173397i
$928$	1.05018	+	2.19160i	0.0344739	+	0.0719427i
$929$	3.64432	+	6.31215i	0.119566	+	0.207095i	0.919596	−	0.392866i	$-0.128516\pi$
$929$	3.64432	+	6.31215i	0.119566	+	0.207095i	−0.800030	+	0.599961i	$0.795183\pi$
$930$	25.6479	+	9.83917i	0.841029	+	0.322639i
$931$	−17.8888	−	42.3109i	−0.586282	−	1.38668i
$932$	17.1913	+	1.43114i	0.563121	+	0.0468787i
$933$	−10.2897	+	3.77224i	−0.336869	+	0.123498i
$934$	28.2872	+	4.92642i	0.925586	+	0.161198i
$935$	−30.5138	−	55.6004i	−0.997909	−	1.81833i
$936$	2.59898	+	0.913815i	0.0849503	+	0.0298690i
$937$	32.4297	−	32.4297i	1.05943	−	1.05943i	0.0613123	−	0.998119i	$-0.480471\pi$
$937$	32.4297	−	32.4297i	1.05943	−	1.05943i	0.998119	−	0.0613123i	$-0.0195286\pi$
$938$	5.35471	−	1.59425i	0.174837	−	0.0520541i
$939$	−34.0992	−	48.4587i	−1.11279	−	1.58139i
$940$	−21.3635	−	26.3823i	−0.696802	−	0.860495i
$941$	27.8124	−	48.1725i	0.906658	−	1.57038i	0.0879815	−	0.996122i	$-0.471958\pi$
$941$	27.8124	−	48.1725i	0.906658	−	1.57038i	0.818676	−	0.574255i	$-0.194708\pi$
$942$	−7.25603	+	20.2139i	−0.236414	+	0.658603i
$943$	3.08787	−	11.5241i	0.100555	−	0.375276i
$944$	−7.12166	−	1.19400i	−0.231790	−	0.0388614i
$945$	30.2146	−	5.66367i	0.982881	−	0.184239i
$946$	3.86159	+	10.5405i	0.125551	+	0.342703i
$947$	−2.55082	−	0.683491i	−0.0828906	−	0.0222105i	0.217135	−	0.976142i	$-0.430329\pi$
$947$	−2.55082	−	0.683491i	−0.0828906	−	0.0222105i	−0.300026	+	0.953931i	$0.596995\pi$
$948$	0.126923	+	19.4266i	0.00412226	+	0.630946i
$949$	−2.30952	+	4.00021i	−0.0749702	+	0.129852i
$950$	39.0765	−	25.0262i	1.26781	−	0.811956i
$951$	−20.0862	+	14.1342i	−0.651341	+	0.458333i
$952$	−41.8437	+	21.1560i	−1.35616	+	0.685671i
$953$	−10.5207	+	10.5207i	−0.340798	+	0.340798i	−0.856667	−	0.515870i	$-0.827469\pi$
$953$	−10.5207	+	10.5207i	−0.340798	+	0.340798i	0.515870	+	0.856667i	$0.327469\pi$
$954$	24.9527	+	42.5532i	0.807873	+	1.37771i
$955$	4.84504	−	16.6315i	0.156782	−	0.538183i
$956$	45.8071	−	8.27603i	1.48151	−	0.267666i
$957$	3.16261	−	1.15942i	0.102233	−	0.0374788i
$958$	7.05044	−	15.2032i	0.227789	−	0.491192i
$959$	−46.4951	+	9.42504i	−1.50140	+	0.304350i
$960$	−17.6007	−	25.4993i	−0.568060	−	0.822987i
$961$	2.92290	+	5.06261i	0.0942871	+	0.163310i
$962$	−0.275162	−	0.391217i	−0.00887158	−	0.0126133i
$963$	−0.383195	+	4.62749i	−0.0123483	+	0.149119i
$964$	−2.48832	+	6.92720i	−0.0801433	+	0.223110i
$965$	−4.70758	+	7.76037i	−0.151542	+	0.249815i
$966$	−29.8587	+	22.2664i	−0.960687	+	0.716410i
$967$	−15.4941	+	15.4941i	−0.498257	+	0.498257i	−0.910895	−	0.412638i	$-0.864607\pi$
$967$	−15.4941	+	15.4941i	−0.498257	+	0.498257i	0.412638	+	0.910895i	$0.364607\pi$
$968$	19.1043	+	18.8645i	0.614036	+	0.606329i
$969$	70.9328	−	6.37191i	2.27869	−	0.204695i
$970$	1.56836	+	23.1313i	0.0503570	+	0.742700i
$971$	−8.29053	−	14.3596i	−0.266056	−	0.460822i	0.701784	−	0.712390i	$-0.252387\pi$
$971$	−8.29053	−	14.3596i	−0.266056	−	0.460822i	−0.967840	+	0.251568i	$0.919054\pi$
$972$	−4.92723	+	30.7851i	−0.158041	+	0.987433i
$973$	−24.6116	−	1.52291i	−0.789011	−	0.0488222i
$974$	−13.1224	−	35.8187i	−0.420469	−	1.14771i
$975$	−2.80875	+	0.129982i	−0.0899521	+	0.00416277i
$976$	35.6242	−	43.1886i	1.14030	−	1.38243i
$977$	−27.1007	+	7.26161i	−0.867028	+	0.232320i	−0.664802	−	0.747019i	$-0.731484\pi$
$977$	−27.1007	+	7.26161i	−0.867028	+	0.232320i	−0.202226	+	0.979339i	$0.564818\pi$
$978$	32.5826	−	27.5868i	1.04188	−	0.882130i
$979$	36.5553			1.16831
$980$	21.3827	−	22.8644i	0.683046	−	0.730375i
$981$	−19.1660	−	6.87516i	−0.611922	−	0.219507i
$982$	−52.1885	+	4.67662i	−1.66540	+	0.149237i
$983$	−12.6428	−	47.1835i	−0.403242	−	1.50492i	−0.807275	−	0.590175i	$-0.799059\pi$
$983$	−12.6428	−	47.1835i	−0.403242	−	1.50492i	0.404033	−	0.914744i	$-0.367608\pi$
$984$	−9.25354	−	4.21807i	−0.294992	−	0.134467i
$985$	0.295546	−	13.6348i	0.00941689	−	0.434440i
$986$	−1.30951	−	3.57441i	−0.0417032	−	0.113832i
$987$	18.2232	+	29.6304i	0.580052	+	0.943145i
$988$	−4.24662	−	0.353522i	−0.135103	−	0.0112470i
$989$	8.72762	−	5.03890i	0.277522	−	0.160228i
$990$	−37.5081	+	20.9154i	−1.19209	+	0.664736i
$991$	18.4169	−	31.8990i	0.585032	−	1.01331i	−0.409840	−	0.912158i	$-0.634415\pi$
$991$	18.4169	−	31.8990i	0.585032	−	1.01331i	0.994871	−	0.101147i	$-0.0322514\pi$
$992$	−2.17512	+	28.2879i	−0.0690601	+	0.898141i
$993$	−0.714533	+	4.10811i	−0.0226750	+	0.130367i
$994$	1.63256	+	59.1944i	0.0517816	+	1.87753i
$995$	−26.9858	+	6.60750i	−0.855507	+	0.209472i
$996$	−21.1604	+	5.81835i	−0.670493	+	0.184361i
$997$	−26.2257	+	7.02714i	−0.830575	+	0.222552i	−0.648964	−	0.760819i	$-0.724798\pi$
$997$	−26.2257	+	7.02714i	−0.830575	+	0.222552i	−0.181610	+	0.983371i	$0.558131\pi$
$998$	24.4897	+	34.8187i	0.775208	+	1.10217i
$999$	3.80059	−	3.85394i	0.120245	−	0.121933i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	840.2.dc.e.53.5	✓	704
3.2	odd	2	inner	840.2.dc.e.53.172	yes	704
5.2	odd	4	inner	840.2.dc.e.557.84	yes	704
7.2	even	3	inner	840.2.dc.e.653.119	yes	704
8.5	even	2	inner	840.2.dc.e.53.146	yes	704
15.2	even	4	inner	840.2.dc.e.557.93	yes	704
21.2	odd	6	inner	840.2.dc.e.653.58	yes	704
24.5	odd	2	inner	840.2.dc.e.53.31	yes	704
35.2	odd	12	inner	840.2.dc.e.317.31	yes	704
40.37	odd	4	inner	840.2.dc.e.557.58	yes	704
56.37	even	6	inner	840.2.dc.e.653.93	yes	704
105.2	even	12	inner	840.2.dc.e.317.146	yes	704
120.77	even	4	inner	840.2.dc.e.557.119	yes	704
168.149	odd	6	inner	840.2.dc.e.653.84	yes	704
280.37	odd	12	inner	840.2.dc.e.317.172	yes	704
840.317	even	12	inner	840.2.dc.e.317.5	yes	704

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
840.2.dc.e.53.5	✓	704	1.1	even	1	trivial
840.2.dc.e.53.31	yes	704	24.5	odd	2	inner
840.2.dc.e.53.146	yes	704	8.5	even	2	inner
840.2.dc.e.53.172	yes	704	3.2	odd	2	inner
840.2.dc.e.317.5	yes	704	840.317	even	12	inner
840.2.dc.e.317.31	yes	704	35.2	odd	12	inner
840.2.dc.e.317.146	yes	704	105.2	even	12	inner
840.2.dc.e.317.172	yes	704	280.37	odd	12	inner
840.2.dc.e.557.58	yes	704	40.37	odd	4	inner
840.2.dc.e.557.84	yes	704	5.2	odd	4	inner
840.2.dc.e.557.93	yes	704	15.2	even	4	inner
840.2.dc.e.557.119	yes	704	120.77	even	4	inner
840.2.dc.e.653.58	yes	704	21.2	odd	6	inner
840.2.dc.e.653.84	yes	704	168.149	odd	6	inner
840.2.dc.e.653.93	yes	704	56.37	even	6	inner
840.2.dc.e.653.119	yes	704	7.2	even	3	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 840 = 2^{3} \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	840.dc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40857 + 0.126222i) q^{2} +(1.11026 - 1.32941i) q^{3} +(1.96814 - 0.355585i) q^{4} +(1.61503 - 1.54650i) q^{5} +(-1.39607 + 2.01271i) q^{6} +(-2.64070 - 0.163401i) q^{7} +(-2.72737 + 0.749289i) q^{8} +(-0.534667 - 2.95197i) q^{9} +(-2.07968 + 2.38221i) q^{10} +(-2.26343 + 3.92037i) q^{11} +(1.71241 - 3.01125i) q^{12} +(0.229579 - 0.229579i) q^{13} +(3.74024 - 0.103154i) q^{14} +(-0.262840 - 3.86405i) q^{15} +(3.74712 - 1.39968i) q^{16} +(-6.05216 + 1.62167i) q^{17} +(1.12572 + 4.09057i) q^{18} +(-3.28122 - 5.68324i) q^{19} +(2.62869 - 3.61801i) q^{20} +(-3.14908 + 3.32916i) q^{21} +(2.69336 - 5.80781i) q^{22} +(-5.55149 - 1.48752i) q^{23} +(-2.03197 + 4.45770i) q^{24} +(0.216658 - 4.99530i) q^{25} +(-0.294400 + 0.352356i) q^{26} +(-4.51800 - 2.56665i) q^{27} +(-5.25536 + 0.617400i) q^{28} -0.429607i q^{29} +(0.857958 + 5.40961i) q^{30} +(2.50770 - 4.34346i) q^{31} +(-5.10141 + 2.44452i) q^{32} +(2.69880 + 7.36164i) q^{33} +(8.32019 - 3.04815i) q^{34} +(-4.51752 + 3.81995i) q^{35} +(-2.10197 - 5.61976i) q^{36} +(-0.269605 + 1.00618i) q^{37} +(5.33918 + 7.59108i) q^{38} +(-0.0503136 - 0.560097i) q^{39} +(-3.24602 + 5.42802i) q^{40} +2.07585i q^{41} +(4.01548 - 5.08684i) q^{42} +(-1.23989 + 1.23989i) q^{43} +(-3.06070 + 8.52066i) q^{44} +(-5.42874 - 3.94066i) q^{45} +(8.00742 + 1.39455i) q^{46} +(1.96466 - 7.33221i) q^{47} +(2.29951 - 6.53546i) q^{48} +(6.94660 + 0.862984i) q^{49} +(0.325341 + 7.06358i) q^{50} +(-4.56357 + 9.84627i) q^{51} +(0.370208 - 0.533478i) q^{52} +(11.2309 - 3.00932i) q^{53} +(6.68788 + 3.04503i) q^{54} +(2.40736 + 9.83192i) q^{55} +(7.32461 - 1.53299i) q^{56} +(-11.1984 - 1.94776i) q^{57} +(0.0542259 + 0.605131i) q^{58} +(-1.56340 - 0.902632i) q^{59} +(-1.89131 - 7.51152i) q^{60} +(12.1211 - 6.99814i) q^{61} +(-2.98403 + 6.43459i) q^{62} +(0.929542 + 7.88264i) q^{63} +(6.87713 - 4.08718i) q^{64} +(0.0157329 - 0.725823i) q^{65} +(-4.73065 - 10.0287i) q^{66} +(1.44231 - 0.386465i) q^{67} +(-11.3348 + 5.34373i) q^{68} +(-8.14109 + 5.72869i) q^{69} +(5.88107 - 5.95088i) q^{70} +15.8264i q^{71} +(3.67012 + 7.65051i) q^{72} +(-13.7419 + 3.68214i) q^{73} +(0.252755 - 1.45130i) q^{74} +(-6.40027 - 5.83409i) q^{75} +(-8.47877 - 10.0186i) q^{76} +(6.61762 - 9.98268i) q^{77} +(0.141567 + 0.782584i) q^{78} +(-4.85675 + 2.80405i) q^{79} +(3.88711 - 8.05546i) q^{80} +(-8.42826 + 3.15664i) q^{81} +(-0.262019 - 2.92398i) q^{82} +(-4.47966 - 4.47966i) q^{83} +(-5.01401 + 7.67201i) q^{84} +(-7.26651 + 11.9787i) q^{85} +(1.58998 - 1.90298i) q^{86} +(-0.571124 - 0.476973i) q^{87} +(3.23572 - 12.3883i) q^{88} +(-4.03760 - 6.99333i) q^{89} +(8.14415 + 4.86547i) q^{90} +(-0.643763 + 0.568737i) q^{91} +(-11.4550 - 0.953607i) q^{92} +(-2.99006 - 8.15611i) q^{93} +(-1.84187 + 10.5759i) q^{94} +(-14.0884 - 4.10420i) q^{95} +(-2.41409 + 9.49590i) q^{96} +(5.18418 - 5.18418i) q^{97} +(-9.89370 - 0.338757i) q^{98} +(12.7830 + 4.58548i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 704 q - 16 q^{6} - 24 q^{7} + 12 q^{10} + 10 q^{12} + 32 q^{15} - 72 q^{16} + 6 q^{18} + 64 q^{22} - 8 q^{25} + 24 q^{28} + 8 q^{30} - 16 q^{31} + 44 q^{33} - 240 q^{36} + 16 q^{40} - 78 q^{42} - 8 q^{46}+ \cdots - 80 q^{97}+O(q^{100}) \) 704 * q - 16 * q^6 - 24 * q^7 + 12 * q^10 + 10 * q^12 + 32 * q^15 - 72 * q^16 + 6 * q^18 + 64 * q^22 - 8 * q^25 + 24 * q^28 + 8 * q^30 - 16 * q^31 + 44 * q^33 - 240 * q^36 + 16 * q^40 - 78 * q^42 - 8 * q^46 - 20 * q^48 - 60 * q^52 + 272 * q^55 + 8 * q^57 - 20 * q^58 - 14 * q^60 + 12 * q^63 - 84 * q^66 + 112 * q^70 - 38 * q^72 + 104 * q^73 - 64 * q^76 - 16 * q^78 - 168 * q^81 - 72 * q^82 - 64 * q^87 + 52 * q^88 - 44 * q^90 + 40 * q^96 - 80 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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