LMFDB - Embedded newform 95.2.p.a.9.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,2,Mod(4,95)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([9, 2])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("95.4"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.p (of order $18$, degree $6$, 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:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$8$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			9.1
Character	$\chi$	$=$	95.9
Dual form			95.2.p.a.74.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.93197 + 0.340658i) q^{2} +(-0.120656 - 0.143793i) q^{3} +(1.73706 - 0.632239i) q^{4} +(-1.25335 - 1.85179i) q^{5} +(0.282088 + 0.236700i) q^{6} +(-0.586358 - 0.338534i) q^{7} +(0.257316 - 0.148561i) q^{8} +(0.514826 - 2.91972i) q^{9} +(3.05226 + 3.15062i) q^{10} +(-1.42035 - 2.46011i) q^{11} +(-0.300499 - 0.173493i) q^{12} +(3.06393 - 3.65145i) q^{13} +(1.24815 + 0.454289i) q^{14} +(-0.115048 + 0.403653i) q^{15} +(-3.27865 + 2.75111i) q^{16} +(-5.10518 + 0.900181i) q^{17} +5.81619i q^{18} +(3.00824 + 3.15444i) q^{19} +(-3.34792 - 2.42425i) q^{20} +(0.0220691 + 0.125160i) q^{21} +(3.58212 + 4.26900i) q^{22} +(0.359434 + 0.987537i) q^{23} +(-0.0524089 - 0.0190753i) q^{24} +(-1.85822 + 4.64188i) q^{25} +(-4.67552 + 8.09823i) q^{26} +(-0.969633 + 0.559818i) q^{27} +(-1.23257 - 0.217336i) q^{28} +(0.247630 - 1.40438i) q^{29} +(0.0847621 - 0.819036i) q^{30} +(-0.135532 + 0.234748i) q^{31} +(5.01508 - 5.97674i) q^{32} +(-0.182372 + 0.501064i) q^{33} +(9.55639 - 3.47824i) q^{34} +(0.108021 + 1.51011i) q^{35} +(-0.951679 - 5.39724i) q^{36} +0.603754i q^{37} +(-6.88641 - 5.06949i) q^{38} -0.894735 q^{39} +(-0.597611 - 0.290294i) q^{40} +(5.15980 - 4.32958i) q^{41} +(-0.0852737 - 0.234288i) q^{42} +(1.92538 - 5.28994i) q^{43} +(-4.02261 - 3.37537i) q^{44} +(-6.05196 + 2.70609i) q^{45} +(-1.03083 - 1.78544i) q^{46} +(7.77543 + 1.37102i) q^{47} +(0.791181 + 0.139507i) q^{48} +(-3.27079 - 5.66517i) q^{49} +(2.00872 - 9.60097i) q^{50} +(0.745413 + 0.625476i) q^{51} +(3.01365 - 8.27993i) q^{52} +(2.35594 + 6.47288i) q^{53} +(1.68259 - 1.41186i) q^{54} +(-2.77540 + 5.71356i) q^{55} -0.201172 q^{56} +(0.0906217 - 0.813167i) q^{57} +2.79757i q^{58} +(1.75779 + 9.96889i) q^{59} +(0.0553589 + 0.773908i) q^{60} +(7.02134 - 2.55556i) q^{61} +(0.181874 - 0.499695i) q^{62} +(-1.29030 + 1.53772i) q^{63} +(-3.37297 + 5.84216i) q^{64} +(-10.6019 - 1.09719i) q^{65} +(0.181646 - 1.03016i) q^{66} +(4.05478 + 0.714967i) q^{67} +(-8.29889 + 4.79137i) q^{68} +(0.0986326 - 0.170837i) q^{69} +(-0.723123 - 2.88068i) q^{70} +(7.14680 + 2.60122i) q^{71} +(-0.301285 - 0.827775i) q^{72} +(-10.3665 - 12.3543i) q^{73} +(-0.205674 - 1.16643i) q^{74} +(0.891675 - 0.292874i) q^{75} +(7.21986 + 3.57753i) q^{76} +1.92334i q^{77} +(1.72860 - 0.304799i) q^{78} +(-11.3733 + 9.54332i) q^{79} +(9.20378 + 2.62324i) q^{80} +(-8.16041 - 2.97015i) q^{81} +(-8.49365 + 10.1223i) q^{82} +(12.2815 + 7.09076i) q^{83} +(0.117467 + 0.203458i) q^{84} +(8.06553 + 8.32546i) q^{85} +(-1.91771 + 10.8759i) q^{86} +(-0.231818 + 0.133840i) q^{87} +(-0.730955 - 0.422017i) q^{88} +(-6.31059 - 5.29521i) q^{89} +(10.7703 - 7.28973i) q^{90} +(-3.03270 + 1.10381i) q^{91} +(1.24872 + 1.48817i) q^{92} +(0.0501079 - 0.00883537i) q^{93} -15.4889 q^{94} +(2.07096 - 9.52424i) q^{95} -1.46451 q^{96} +(5.64144 - 0.994738i) q^{97} +(8.24894 + 9.83071i) q^{98} +(-7.91407 + 2.88049i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9} - 15 q^{10} - 12 q^{11} + 6 q^{14} + 3 q^{15} - 42 q^{16} + 12 q^{19} + 42 q^{20} - 54 q^{21} + 24 q^{24} + 12 q^{25} + 12 q^{26} + 18 q^{30} - 42 q^{31} - 36 q^{34}+ \cdots - 36 q^{99}+O(q^{100}) $ 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9 - 15 * q^10 - 12 * q^11 + 6 * q^14 + 3 * q^15 - 42 * q^16 + 12 * q^19 + 42 * q^20 - 54 * q^21 + 24 * q^24 + 12 * q^25 + 12 * q^26 + 18 * q^30 - 42 * q^31 - 36 * q^34 + 6 * q^35 + 18 * q^36 - 48 * q^39 + 66 * q^40 + 6 * q^41 - 6 * q^44 - 9 * q^45 - 6 * q^46 + 12 * q^49 - 18 * q^50 + 108 * q^51 + 24 * q^54 + 36 * q^56 - 36 * q^59 - 114 * q^60 + 48 * q^61 - 18 * q^65 + 180 * q^66 + 66 * q^69 - 123 * q^70 - 24 * q^71 + 84 * q^74 + 72 * q^75 + 66 * q^76 + 48 * q^79 - 39 * q^80 - 78 * q^81 - 54 * q^84 - 84 * q^85 - 42 * q^86 - 12 * q^89 + 18 * q^90 - 30 * q^91 - 72 * q^94 - 63 * q^95 - 240 * q^96 - 36 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{4}{9}\right)$	$-1$

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 $

$2$	−1.93197	+	0.340658i	−1.36611	+	0.240881i	−0.808144	−	0.588985i	$-0.799528\pi$
$2$	−1.93197	+	0.340658i	−1.36611	+	0.240881i	−0.557963	+	0.829866i	$0.688417\pi$
$3$	−0.120656	−	0.143793i	−0.0696611	−	0.0830188i	0.730088	−	0.683353i	$-0.239479\pi$
$3$	−0.120656	−	0.143793i	−0.0696611	−	0.0830188i	−0.799750	+	0.600334i	$0.795034\pi$
$4$	1.73706	−	0.632239i	0.868531	−	0.316120i
$5$	−1.25335	−	1.85179i	−0.560516	−	0.828144i
$5$	−1.25335	−	1.85179i	−0.560516	−	0.828144i
$6$	0.282088	+	0.236700i	0.115162	+	0.0966325i
$7$	−0.586358	−	0.338534i	−0.221622	−	0.127954i	0.385079	−	0.922884i	$-0.374174\pi$
$7$	−0.586358	−	0.338534i	−0.221622	−	0.127954i	−0.606701	+	0.794930i	$0.707508\pi$
$8$	0.257316	−	0.148561i	0.0909749	−	0.0525244i
$9$	0.514826	−	2.91972i	0.171609	−	0.973241i
$10$	3.05226	+	3.15062i	0.965209	+	0.996315i
$11$	−1.42035	−	2.46011i	−0.428250	−	0.741751i	0.568468	−	0.822706i	$-0.307536\pi$
$11$	−1.42035	−	2.46011i	−0.428250	−	0.741751i	−0.996718	+	0.0809546i	$0.974203\pi$
$12$	−0.300499	−	0.173493i	−0.0867467	−	0.0500832i
$13$	3.06393	−	3.65145i	0.849781	−	1.01273i	−0.149930	−	0.988697i	$-0.547905\pi$
$13$	3.06393	−	3.65145i	0.849781	−	1.01273i	0.999711	−	0.0240334i	$-0.00765081\pi$
$14$	1.24815	+	0.454289i	0.333581	+	0.121414i
$15$	−0.115048	+	0.403653i	−0.0297054	+	0.104223i
$16$	−3.27865	+	2.75111i	−0.819663	+	0.687779i
$17$	−5.10518	+	0.900181i	−1.23819	+	0.218326i	−0.754139	−	0.656715i	$-0.771946\pi$
$17$	−5.10518	+	0.900181i	−1.23819	+	0.218326i	−0.484049	+	0.875041i	$0.660834\pi$
$18$			5.81619i			1.37089i
$19$	3.00824	+	3.15444i	0.690138	+	0.723678i
$19$	3.00824	+	3.15444i	0.690138	+	0.723678i
$20$	−3.34792	−	2.42425i	−0.748618	−	0.542079i
$21$	0.0220691	+	0.125160i	0.00481588	+	0.0273122i
$22$	3.58212	+	4.26900i	0.763710	+	0.910154i
$23$	0.359434	+	0.987537i	0.0749472	+	0.205916i	0.971509	−	0.237003i	$-0.0761652\pi$
$23$	0.359434	+	0.987537i	0.0749472	+	0.205916i	−0.896562	+	0.442919i	$0.853943\pi$
$24$	−0.0524089	−	0.0190753i	−0.0106979	−	0.00389373i
$25$	−1.85822	+	4.64188i	−0.371644	+	0.928375i
$26$	−4.67552	+	8.09823i	−0.916944	+	1.58819i
$27$	−0.969633	+	0.559818i	−0.186606	+	0.107737i
$28$	−1.23257	−	0.217336i	−0.232935	−	0.0410727i
$29$	0.247630	−	1.40438i	0.0459838	−	0.260787i	−0.953145	−	0.302513i	$-0.902175\pi$
$29$	0.247630	−	1.40438i	0.0459838	−	0.260787i	0.999129	+	0.0417259i	$0.0132856\pi$
$30$	0.0847621	−	0.819036i	0.0154754	−	0.149535i
$31$	−0.135532	+	0.234748i	−0.0243422	+	0.0421620i	−0.877940	−	0.478771i	$-0.841082\pi$
$31$	−0.135532	+	0.234748i	−0.0243422	+	0.0421620i	0.853598	+	0.520933i	$0.174416\pi$
$32$	5.01508	−	5.97674i	0.886549	−	1.05655i
$33$	−0.182372	+	0.501064i	−0.0317469	+	0.0872240i
$34$	9.55639	−	3.47824i	1.63891	−	0.596513i
$35$	0.108021	+	1.51011i	0.0182588	+	0.255255i
$36$	−0.951679	−	5.39724i	−0.158613	−	0.899540i
$37$			0.603754i			0.0992566i	0.998768	+	0.0496283i	$0.0158037\pi$
$37$			0.603754i			0.0992566i	−0.998768	+	0.0496283i	$0.984196\pi$
$38$	−6.88641	−	5.06949i	−1.11712	−	0.822380i
$39$	−0.894735			−0.143272
$40$	−0.597611	−	0.290294i	−0.0944907	−	0.0458995i
$41$	5.15980	−	4.32958i	0.805825	−	0.676167i	−0.143783	−	0.989609i	$-0.545927\pi$
$41$	5.15980	−	4.32958i	0.805825	−	0.676167i	0.949607	+	0.313442i	$0.101482\pi$
$42$	−0.0852737	−	0.234288i	−0.0131580	−	0.0361513i
$43$	1.92538	−	5.28994i	0.293618	−	0.806709i	−0.701912	−	0.712264i	$-0.747670\pi$
$43$	1.92538	−	5.28994i	0.293618	−	0.806709i	0.995530	−	0.0944453i	$-0.0301077\pi$
$44$	−4.02261	−	3.37537i	−0.606431	−	0.508856i
$45$	−6.05196	+	2.70609i	−0.902173	+	0.403401i
$46$	−1.03083	−	1.78544i	−0.151987	−	0.263249i
$47$	7.77543	+	1.37102i	1.13416	+	0.199983i	0.709051	−	0.705157i	$-0.249124\pi$
$47$	7.77543	+	1.37102i	1.13416	+	0.199983i	0.425112	+	0.905141i	$0.360235\pi$
$48$	0.791181	+	0.139507i	0.114197	+	0.0201360i
$49$	−3.27079	−	5.66517i	−0.467256	−	0.809311i
$50$	2.00872	−	9.60097i	0.284076	−	1.35778i
$51$	0.745413	+	0.625476i	0.104379	+	0.0875841i
$52$	3.01365	−	8.27993i	0.417918	−	1.14822i
$53$	2.35594	+	6.47288i	0.323613	+	0.889118i	0.989689	+	0.143235i	$0.0457503\pi$
$53$	2.35594	+	6.47288i	0.323613	+	0.889118i	−0.666076	+	0.745884i	$0.732027\pi$
$54$	1.68259	−	1.41186i	0.228972	−	0.192130i
$55$	−2.77540	+	5.71356i	−0.374235	+	0.770416i
$56$	−0.201172			−0.0268828
$57$	0.0906217	−	0.813167i	0.0120031	−	0.107707i
$58$			2.79757i			0.367339i
$59$	1.75779	+	9.96889i	0.228844	+	1.29784i	0.855198	+	0.518301i	$0.173435\pi$
$59$	1.75779	+	9.96889i	0.228844	+	1.29784i	−0.626354	+	0.779539i	$0.715454\pi$
$60$	0.0553589	+	0.773908i	0.00714681	+	0.0999112i
$61$	7.02134	−	2.55556i	0.898990	−	0.327206i	0.149142	−	0.988816i	$-0.452349\pi$
$61$	7.02134	−	2.55556i	0.898990	−	0.327206i	0.749848	+	0.661610i	$0.230127\pi$
$62$	0.181874	−	0.499695i	0.0230980	−	0.0634614i
$63$	−1.29030	+	1.53772i	−0.162562	+	0.193734i
$64$	−3.37297	+	5.84216i	−0.421622	+	0.730270i
$65$	−10.6019	−	1.09719i	−1.31500	−	0.136090i
$66$	0.181646	−	1.03016i	0.0223591	−	0.126805i
$67$	4.05478	+	0.714967i	0.495370	+	0.0873472i	0.415752	−	0.909478i	$-0.363519\pi$
$67$	4.05478	+	0.714967i	0.495370	+	0.0873472i	0.0796188	+	0.996825i	$0.474630\pi$
$68$	−8.29889	+	4.79137i	−1.00639	+	0.581039i
$69$	0.0986326	−	0.170837i	0.0118740	−	0.0205663i
$70$	−0.723123	−	2.88068i	−0.0864298	−	0.344308i
$71$	7.14680	+	2.60122i	0.848169	+	0.308708i	0.729294	−	0.684201i	$-0.239849\pi$
$71$	7.14680	+	2.60122i	0.848169	+	0.308708i	0.118875	+	0.992909i	$0.462071\pi$
$72$	−0.301285	−	0.827775i	−0.0355068	−	0.0975542i
$73$	−10.3665	−	12.3543i	−1.21330	−	1.44596i	−0.859879	−	0.510497i	$-0.829461\pi$
$73$	−10.3665	−	12.3543i	−1.21330	−	1.44596i	−0.353425	−	0.935463i	$-0.614983\pi$
$74$	−0.205674	−	1.16643i	−0.0239091	−	0.135595i
$75$	0.891675	−	0.292874i	0.102962	−	0.0338182i
$76$	7.21986	+	3.57753i	0.828175	+	0.410371i
$77$			1.92334i			0.219185i
$78$	1.72860	−	0.304799i	0.195725	−	0.0345117i
$79$	−11.3733	+	9.54332i	−1.27959	+	1.07371i	−0.286294	+	0.958142i	$0.592423\pi$
$79$	−11.3733	+	9.54332i	−1.27959	+	1.07371i	−0.993300	+	0.115565i	$0.963132\pi$
$80$	9.20378	+	2.62324i	1.02901	+	0.293287i
$81$	−8.16041	−	2.97015i	−0.906713	−	0.330016i
$82$	−8.49365	+	10.1223i	−0.937966	+	1.11782i
$83$	12.2815	+	7.09076i	1.34808	+	0.778312i	0.987977	−	0.154603i	$-0.0494098\pi$
$83$	12.2815	+	7.09076i	1.34808	+	0.778312i	0.360098	+	0.932914i	$0.382743\pi$
$84$	0.117467	+	0.203458i	0.0128167	+	0.0221991i
$85$	8.06553	+	8.32546i	0.874830	+	0.903023i
$86$	−1.91771	+	10.8759i	−0.206792	+	1.17278i
$87$	−0.231818	+	0.133840i	−0.0248535	+	0.0143492i
$88$	−0.730955	−	0.422017i	−0.0779201	−	0.0449872i
$89$	−6.31059	−	5.29521i	−0.668921	−	0.561291i	0.243825	−	0.969819i	$-0.421598\pi$
$89$	−6.31059	−	5.29521i	−0.668921	−	0.561291i	−0.912746	+	0.408528i	$0.866042\pi$
$90$	10.7703	−	7.28973i	1.13529	−	0.768405i
$91$	−3.03270	+	1.10381i	−0.317913	+	0.115711i
$92$	1.24872	+	1.48817i	0.130188	+	0.155152i
$93$	0.0501079	−	0.00883537i	0.00519594	−	0.000916185i
$94$	−15.4889			−1.59756
$95$	2.07096	−	9.52424i	0.212476	−	0.977166i
$96$	−1.46451			−0.149471
$97$	5.64144	−	0.994738i	0.572801	−	0.101000i	0.120258	−	0.992743i	$-0.461628\pi$
$97$	5.64144	−	0.994738i	0.572801	−	0.101000i	0.452543	+	0.891742i	$0.350517\pi$
$98$	8.24894	+	9.83071i	0.833269	+	0.993051i
$99$	−7.91407	+	2.88049i	−0.795394	+	0.289500i
$100$	−0.293064	+	9.23807i	−0.0293064	+	0.923807i
$101$	−1.54918	−	1.29992i	−0.154149	−	0.129347i	0.562451	−	0.826831i	$-0.309858\pi$
$101$	−1.54918	−	1.29992i	−0.154149	−	0.129347i	−0.716601	+	0.697484i	$0.754303\pi$
$102$	−1.65319	−	0.954467i	−0.163690	−	0.0945064i
$103$	15.7927	−	9.11792i	1.55610	−	0.898415i	0.558477	−	0.829520i	$-0.311386\pi$
$103$	15.7927	−	9.11792i	1.55610	−	0.898415i	0.997624	−	0.0688957i	$-0.0219476\pi$
$104$	0.245934	−	1.39476i	0.0241158	−	0.136767i
$105$	0.204110	−	0.197737i	0.0199191	−	0.0192972i
$106$	−6.75663	−	11.7028i	−0.656262	−	1.13668i
$107$	−5.38097	−	3.10671i	−0.520198	−	0.300337i	0.216817	−	0.976212i	$-0.430432\pi$
$107$	−5.38097	−	3.10671i	−0.520198	−	0.300337i	−0.737016	+	0.675876i	$0.763766\pi$
$108$	−1.33037	+	1.58548i	−0.128015	+	0.152563i
$109$	15.0243	+	5.46840i	1.43907	+	0.523777i	0.939515	−	0.342507i	$-0.111276\pi$
$109$	15.0243	+	5.46840i	1.43907	+	0.523777i	0.499551	+	0.866284i	$0.333498\pi$
$110$	3.41562	−	11.9839i	0.325666	−	1.14262i
$111$	0.0868155	−	0.0728469i	0.00824017	−	0.00691432i
$112$	2.85381	−	0.503203i	0.269659	−	0.0475482i
$113$			7.88392i			0.741657i	0.928701	+	0.370828i	$0.120926\pi$
$113$			7.88392i			0.741657i	−0.928701	+	0.370828i	$0.879074\pi$
$114$	0.101934	+	1.60188i	0.00954696	+	0.150030i
$115$	1.37821	−	1.90333i	0.128519	−	0.177486i
$116$	−0.457755	−	2.59606i	−0.0425015	−	0.241038i
$117$	−9.08384	−	10.8257i	−0.839801	−	1.00084i
$118$	−6.79196	−	18.6608i	−0.625251	−	1.71786i
$119$	3.29820	+	1.20045i	0.302346	+	0.110045i
$120$	0.0303635	+	0.120958i	0.00277179	+	0.0110419i
$121$	1.46524	−	2.53787i	0.133204	−	0.230715i
$122$	−12.6944	+	7.32913i	−1.14930	+	0.663548i
$123$	−1.24513	−	0.219549i	−0.112269	−	0.0197961i
$124$	−0.0870104	+	0.493461i	−0.00781376	+	0.0443141i
$125$	10.9248	−	2.37689i	0.977140	−	0.212595i
$126$	1.96898	−	3.41037i	0.175410	−	0.303820i
$127$	−10.1395	+	12.0838i	−0.899736	+	1.07226i	0.0972942	+	0.995256i	$0.468981\pi$
$127$	−10.1395	+	12.0838i	−0.899736	+	1.07226i	−0.997030	+	0.0770082i	$0.975463\pi$
$128$	−0.810645	+	2.22723i	−0.0716516	+	0.196861i
$129$	−0.992966	+	0.361410i	−0.0874258	+	0.0318204i
$130$	20.8563	−	1.49188i	1.82921	−	0.130847i
$131$	−0.706095	−	4.00446i	−0.0616918	−	0.349872i	−0.999992	−	0.00404921i	$-0.998711\pi$
$131$	−0.706095	−	4.00446i	−0.0616918	−	0.349872i	0.938300	−	0.345822i	$-0.112400\pi$
$132$			0.985682i			0.0857926i
$133$	−0.696022	−	2.86802i	−0.0603527	−	0.248689i
$134$	−8.07726			−0.697769
$135$	2.25195	+	1.09390i	0.193817	+	0.0941482i
$136$	−1.17991	+	0.990064i	−0.101177	+	0.0848973i
$137$	0.893360	+	2.45449i	0.0763249	+	0.209701i	0.971987	−	0.235034i	$-0.0755201\pi$
$137$	0.893360	+	2.45449i	0.0763249	+	0.209701i	−0.895662	+	0.444735i	$0.853298\pi$
$138$	−0.132358	+	0.363651i	−0.0112671	+	0.0309560i
$139$	−6.87238	−	5.76661i	−0.582908	−	0.489118i	0.302993	−	0.952993i	$-0.402014\pi$
$139$	−6.87238	−	5.76661i	−0.582908	−	0.489118i	−0.885901	+	0.463875i	$0.846459\pi$
$140$	1.14239	+	2.55486i	0.0965495	+	0.215925i
$141$	−0.741013	−	1.28347i	−0.0624046	−	0.108088i
$142$	−14.6935	−	2.59086i	−1.23305	−	0.217420i
$143$	−13.3348	−	2.35129i	−1.11511	−	0.196624i
$144$	6.34456	+	10.9891i	0.528713	+	0.915758i
$145$	−2.91098	+	1.30163i	−0.241744	+	0.108094i
$146$	24.2363	+	20.3367i	2.00581	+	1.68307i
$147$	−0.419969	+	1.15386i	−0.0346385	+	0.0951684i
$148$	0.381717	+	1.04876i	0.0313770	+	0.0862075i
$149$	1.32378	−	1.11078i	0.108448	−	0.0909989i	−0.586951	−	0.809622i	$-0.699672\pi$
$149$	1.32378	−	1.11078i	0.108448	−	0.0909989i	0.695399	+	0.718623i	$0.255227\pi$
$150$	−1.62292	+	0.869579i	−0.132511	+	0.0710009i
$151$	11.0738			0.901177			0.450589	−	0.892732i	$-0.351214\pi$
$151$	11.0738			0.901177			0.450589	+	0.892732i	$0.351214\pi$
$152$	1.24270	+	0.364779i	0.100796	+	0.0295875i
$153$			15.3692i			1.24252i
$154$	−0.655201	−	3.71583i	−0.0527976	−	0.299430i
$155$	0.604572	−	0.0432460i	0.0485604	−	0.00347360i
$156$	−1.55421	+	0.565687i	−0.124437	+	0.0452912i
$157$	−0.671940	+	1.84614i	−0.0536267	+	0.147338i	−0.963614	−	0.267298i	$-0.913869\pi$
$157$	−0.671940	+	1.84614i	−0.0536267	+	0.147338i	0.909987	+	0.414637i	$0.136091\pi$
$158$	18.7218	−	22.3118i	1.48943	−	1.77503i
$159$	0.646495	−	1.11976i	0.0512704	−	0.0888029i
$160$	−17.3533	−	1.79589i	−1.37190	−	0.141978i
$161$	0.123558	−	0.700730i	0.00973771	−	0.0552253i
$162$	16.7775	+	2.95832i	1.31816	+	0.232427i
$163$	−17.4341	+	10.0656i	−1.36554	+	0.788395i	−0.990355	−	0.138555i	$-0.955754\pi$
$163$	−17.4341	+	10.0656i	−1.36554	+	0.788395i	−0.375186	+	0.926950i	$0.622421\pi$
$164$	6.22556	−	10.7830i	0.486134	−	0.842009i
$165$	1.15644	−	0.290295i	0.0900286	−	0.0225994i
$166$	−26.1431	−	9.51530i	−2.02910	−	0.738530i
$167$	−6.10733	−	16.7798i	−0.472600	−	1.29846i	−0.915656	−	0.401963i	$-0.868328\pi$
$167$	−6.10733	−	16.7798i	−0.472600	−	1.29846i	0.443056	−	0.896494i	$-0.353894\pi$
$168$	0.0242727	+	0.0289271i	0.00187268	+	0.00223178i
$169$	−1.68799	−	9.57308i	−0.129846	−	0.736391i
$170$	−18.4185	−	13.3369i	−1.41263	−	1.02289i
$171$	10.7588	−	7.15925i	0.822747	−	0.547481i
$172$		−	10.4063i		−	0.793470i
$173$	−2.68082	+	0.472701i	−0.203819	+	0.0359388i	−0.274625	−	0.961551i	$-0.588554\pi$
$173$	−2.68082	+	0.472701i	−0.203819	+	0.0359388i	0.0708064	+	0.997490i	$0.477443\pi$
$174$	0.402271	−	0.337545i	0.0304961	−	0.0255893i
$175$	2.66101	−	2.09273i	0.201154	−	0.158196i
$176$	11.4249	+	4.15831i	0.861181	+	0.313444i
$177$	1.22137	−	1.45557i	0.0918036	−	0.109407i
$178$	13.9957	+	8.08042i	1.04902	+	0.605653i
$179$	3.85817	+	6.68254i	0.288373	+	0.499477i	0.973422	−	0.229021i	$-0.0735524\pi$
$179$	3.85817	+	6.68254i	0.288373	+	0.499477i	−0.685049	+	0.728497i	$0.740219\pi$
$180$	−8.80174	+	8.52694i	−0.656043	+	0.635561i
$181$	−0.185874	+	1.05414i	−0.0138159	+	0.0783537i	−0.990936	−	0.134334i	$-0.957111\pi$
$181$	−0.185874	+	1.05414i	−0.0138159	+	0.0783537i	0.977120	+	0.212688i	$0.0682217\pi$
$182$	5.48305	−	3.16564i	0.406431	−	0.234653i
$183$	−1.21464	−	0.701273i	−0.0897888	−	0.0518396i
$184$	0.239198	+	0.200711i	0.0176339	+	0.0147966i
$185$	1.11802	−	0.756717i	0.0821987	−	0.0556349i
$186$	−0.0937969	+	0.0341393i	−0.00687752	+	0.00250321i
$187$	9.46566	+	11.2807i	0.692198	+	0.824929i
$188$	14.3732	−	2.53439i	1.04827	−	0.184839i
$189$	0.758069			0.0551414
$190$	−0.756514	+	19.1060i	−0.0548833	+	1.38610i
$191$	5.38296			0.389497			0.194749	−	0.980853i	$-0.437611\pi$
$191$	5.38296			0.389497			0.194749	+	0.980853i	$0.437611\pi$
$192$	1.24703	−	0.219885i	0.0899967	−	0.0158689i
$193$	−9.94387	−	11.8506i	−0.715775	−	0.853028i	0.278438	−	0.960454i	$-0.410183\pi$
$193$	−9.94387	−	11.8506i	−0.715775	−	0.853028i	−0.994213	+	0.107426i	$0.965739\pi$
$194$	−10.5602	+	3.84360i	−0.758179	+	0.275954i
$195$	1.12142	+	1.65686i	0.0803064	+	0.118650i
$196$	−9.26331	−	7.77284i	−0.661665	−	0.555203i
$197$	18.3882	+	10.6164i	1.31010	+	0.756388i	0.982113	−	0.188294i	$-0.0602958\pi$
$197$	18.3882	+	10.6164i	1.31010	+	0.756388i	0.327989	+	0.944682i	$0.393629\pi$
$198$	14.3085	−	8.26100i	1.01686	−	0.587083i
$199$	−1.31646	+	7.46602i	−0.0933214	+	0.529252i	0.901927	+	0.431888i	$0.142152\pi$
$199$	−1.31646	+	7.46602i	−0.0933214	+	0.529252i	−0.995249	+	0.0973643i	$0.968959\pi$
$200$	0.211455	+	1.47049i	0.0149521	+	0.103979i
$201$	−0.386429	−	0.669314i	−0.0272566	−	0.0472098i
$202$	3.43580	+	1.98366i	0.241742	+	0.139570i
$203$	−0.620630	+	0.739638i	−0.0435597	+	0.0519124i
$204$	1.69028	+	0.615211i	0.118343	+	0.0430734i
$205$	−14.4845	−	4.12834i	−1.01164	−	0.288336i
$206$	−27.4049	+	22.9954i	−1.90939	+	1.60217i
$207$	3.06838	−	0.541038i	0.213267	−	0.0376048i
$208$			20.4011i			1.41456i
$209$	3.48752	−	11.8810i	0.241237	−	0.821826i
$210$	−0.326972	+	0.451553i	−0.0225632	+	0.0311601i
$211$	−2.30936	−	13.0971i	−0.158983	−	0.901639i	−0.955053	−	0.296434i	$-0.904202\pi$
$211$	−2.30936	−	13.0971i	−0.158983	−	0.901639i	0.796070	−	0.605204i	$-0.206909\pi$
$212$	8.18481	+	9.75428i	0.562135	+	0.669927i
$213$	−0.488271	−	1.34151i	−0.0334558	−	0.0919189i
$214$	11.4542	+	4.16898i	0.782992	+	0.284986i
$215$	−12.2090	+	3.06477i	−0.832648	+	0.209015i
$216$	−0.166335	+	0.288100i	−0.0113176	+	0.0196027i
$217$	0.158940	−	0.0917642i	0.0107896	−	0.00622936i
$218$	−30.8893	−	5.44661i	−2.09209	−	0.368891i
$219$	−0.525675	+	2.98125i	−0.0355218	+	0.201454i
$220$	−1.20871	+	11.6795i	−0.0814915	+	0.787434i
$221$	−12.3550	+	21.3994i	−0.831084	+	1.43948i
$222$	−0.142909	+	0.170312i	−0.00959142	+	0.0114306i
$223$	−6.79915	+	18.6805i	−0.455304	+	1.25094i	0.473640	+	0.880719i	$0.342940\pi$
$223$	−6.79915	+	18.6805i	−0.455304	+	1.25094i	−0.928944	+	0.370220i	$0.879282\pi$
$224$	−4.96396	+	1.80673i	−0.331668	+	0.120717i
$225$	12.5963	+	7.81524i	0.839756	+	0.521016i
$226$	−2.68572	−	15.2315i	−0.178651	−	1.01318i
$227$		−	27.3022i		−	1.81211i	−0.423163	−	0.906054i	$-0.639080\pi$
$227$		−	27.3022i		−	1.81211i	0.423163	−	0.906054i	$-0.360920\pi$
$228$	−0.356700	−	1.46982i	−0.0236231	−	0.0973410i
$229$	14.6429			0.967633			0.483816	−	0.875170i	$-0.339250\pi$
$229$	14.6429			0.967633			0.483816	+	0.875170i	$0.339250\pi$
$230$	−2.01427	+	4.14666i	−0.132817	+	0.273423i
$231$	0.276562	−	0.232063i	0.0181965	−	0.0152686i
$232$	−0.144918	−	0.398158i	−0.00951431	−	0.0261403i
$233$	−2.26737	+	6.22953i	−0.148540	+	0.408110i	−0.991540	−	0.129804i	$-0.958565\pi$
$233$	−2.26737	+	6.22953i	−0.148540	+	0.408110i	0.843000	+	0.537914i	$0.180788\pi$
$234$	21.2375	+	17.8204i	1.38834	+	1.16496i
$235$	−7.20652	−	16.1168i	−0.470101	−	1.05134i
$236$	9.35611	+	16.2053i	0.609031	+	1.05487i
$237$	2.74452	+	0.483933i	0.178276	+	0.0314348i
$238$	−6.78096	−	1.19567i	−0.439544	−	0.0775036i
$239$	−6.33959	−	10.9805i	−0.410074	−	0.710269i	0.584823	−	0.811161i	$-0.301164\pi$
$239$	−6.33959	−	10.9805i	−0.410074	−	0.710269i	−0.994897	+	0.100892i	$0.967830\pi$
$240$	−0.733292	−	1.63995i	−0.0473338	−	0.105858i
$241$	10.8118	+	9.07218i	0.696450	+	0.584391i	0.920761	−	0.390127i	$-0.127569\pi$
$241$	10.8118	+	9.07218i	0.696450	+	0.584391i	−0.224311	+	0.974518i	$0.572013\pi$
$242$	−1.96625	+	5.40222i	−0.126395	+	0.347268i
$243$	1.70633	+	4.68812i	0.109461	+	0.300743i
$244$	10.5808	−	8.87833i	0.677365	−	0.568377i
$245$	−6.39124	+	13.1573i	−0.408321	+	0.840586i
$246$	2.48033			0.158140
$247$	20.7353	−	1.31946i	1.31936	−	0.0839555i
$248$			0.0805392i			0.00511425i
$249$	−0.462249	−	2.62154i	−0.0292938	−	0.166134i
$250$	−20.2966	+	8.31367i	−1.28367	+	0.525803i
$251$	−6.55337	+	2.38523i	−0.413645	+	0.150554i	−0.540456	−	0.841372i	$-0.681748\pi$
$251$	−6.55337	+	2.38523i	−0.413645	+	0.150554i	0.126811	+	0.991927i	$0.459526\pi$
$252$	−1.26912	+	3.48689i	−0.0799472	+	0.219653i
$253$	1.91893	−	2.28689i	0.120642	−	0.143776i
$254$	15.4728	−	26.7996i	0.970847	−	1.68156i
$255$	0.223982	−	2.16429i	0.0140263	−	0.135533i
$256$	3.15026	−	17.8660i	0.196891	−	1.11663i
$257$	−15.5410	−	2.74031i	−0.969424	−	0.170936i	−0.333553	−	0.942731i	$-0.608248\pi$
$257$	−15.5410	−	2.74031i	−0.969424	−	0.170936i	−0.635871	+	0.771796i	$0.719359\pi$
$258$	1.79526	−	1.03649i	0.111768	−	0.0645293i
$259$	0.204391	−	0.354016i	0.0127003	−	0.0219975i
$260$	−19.1098	+	4.79704i	−1.18514	+	0.297500i
$261$	−3.97292	−	1.44602i	−0.245917	−	0.0895066i
$262$	2.72830	+	7.49595i	0.168555	+	0.463102i
$263$	−12.7872	−	15.2391i	−0.788490	−	0.939686i	0.210794	−	0.977531i	$-0.432395\pi$
$263$	−12.7872	−	15.2391i	−0.788490	−	0.939686i	−0.999284	+	0.0378448i	$0.987951\pi$
$264$	0.0275114	+	0.156025i	0.00169321	+	0.00960268i
$265$	9.03357	−	12.4755i	0.554928	−	0.766363i
$266$	2.32170	+	5.30381i	0.142353	+	0.325198i
$267$			1.54632i			0.0946331i
$268$	7.49544	−	1.32165i	0.457857	−	0.0807325i
$269$	8.70147	−	7.30140i	0.530538	−	0.445174i	−0.337749	−	0.941236i	$-0.609666\pi$
$269$	8.70147	−	7.30140i	0.530538	−	0.445174i	0.868287	+	0.496062i	$0.165221\pi$
$270$	−4.72334	−	1.34624i	−0.287454	−	0.0819295i
$271$	−22.4471	−	8.17007i	−1.36356	−	0.496296i	−0.446409	−	0.894829i	$-0.647297\pi$
$271$	−22.4471	−	8.17007i	−1.36356	−	0.496296i	−0.917154	+	0.398533i	$0.869519\pi$
$272$	14.2616	−	16.9963i	0.864737	−	1.03055i
$273$	0.524635	+	0.302898i	0.0317523	+	0.0183322i
$274$	−2.56208	−	4.43766i	−0.154781	−	0.268089i
$275$	14.0588	−	2.02165i	0.847780	−	0.121910i
$276$	0.0633214	−	0.359114i	0.00381150	−	0.0216161i
$277$	4.06428	−	2.34652i	0.244199	−	0.140988i	−0.372906	−	0.927869i	$-0.621639\pi$
$277$	4.06428	−	2.34652i	0.244199	−	0.140988i	0.617105	+	0.786881i	$0.288305\pi$
$278$	15.2417	+	8.79978i	0.914134	+	0.527776i
$279$	0.615624	+	0.516570i	0.0368564	+	0.0309262i
$280$	0.252140	+	0.372528i	0.0150682	+	0.0222628i
$281$	−21.1014	+	7.68028i	−1.25880	+	0.458167i	−0.883367	−	0.468681i	$-0.844729\pi$
$281$	−21.1014	+	7.68028i	−1.25880	+	0.458167i	−0.375436	+	0.926848i	$0.622507\pi$
$282$	1.86884	+	2.22719i	0.111288	+	0.132628i
$283$	10.7176	−	1.88981i	0.637097	−	0.112337i	0.154236	−	0.988034i	$-0.450709\pi$
$283$	10.7176	−	1.88981i	0.637097	−	0.112337i	0.482862	+	0.875697i	$0.339597\pi$
$284$	14.0590			0.834250
$285$	−1.61939	+	0.851373i	−0.0959245	+	0.0504310i
$286$	26.5634			1.57073
$287$	−4.49119	+	0.791919i	−0.265107	+	0.0467455i
$288$	−14.8685	−	17.7196i	−0.876137	−	1.04414i
$289$	9.27778	−	3.37683i	0.545752	−	0.198637i
$290$	5.18051	−	3.50634i	0.304210	−	0.205900i
$291$	−0.823712	−	0.691177i	−0.0482869	−	0.0405175i
$292$	−25.8181	−	14.9061i	−1.51089	−	0.872312i
$293$	10.8004	−	6.23561i	0.630965	−	0.364288i	−0.150161	−	0.988662i	$-0.547979\pi$
$293$	10.8004	−	6.23561i	0.630965	−	0.364288i	0.781126	+	0.624374i	$0.214646\pi$
$294$	0.418297	−	2.37228i	0.0243955	−	0.138354i
$295$	16.2571	−	15.7496i	0.946527	−	0.916976i
$296$	0.0896946	+	0.155356i	0.00521339	+	0.00902986i
$297$	2.75443	+	1.59027i	0.159828	+	0.0922767i
$298$	−2.17910	+	2.59695i	−0.126232	+	0.150437i
$299$	4.70722	+	1.71329i	0.272226	+	0.0990821i
$300$	1.36373	−	1.07249i	0.0787349	−	0.0619204i
$301$	−2.91979	+	2.44999i	−0.168294	+	0.141215i
$302$	−21.3943	+	3.77239i	−1.23110	+	0.217077i
$303$			0.379605i			0.0218077i
$304$	−18.5412	−	2.06628i	−1.06341	−	0.118510i
$305$	−13.5326	−	9.79900i	−0.774872	−	0.561089i
$306$	−5.23562	−	29.6927i	−0.299301	−	1.69742i
$307$	−2.68594	−	3.20098i	−0.153295	−	0.182689i	0.683932	−	0.729546i	$-0.260269\pi$
$307$	−2.68594	−	3.20098i	−0.153295	−	0.182689i	−0.837226	+	0.546857i	$0.815824\pi$
$308$	1.21601	+	3.34096i	0.0692886	+	0.190369i
$309$	−3.21658	−	1.17074i	−0.182985	−	0.0666011i
$310$	−1.15328	+	0.289502i	−0.0655020	+	0.0164426i
$311$	6.04544	−	10.4710i	0.342806	−	0.593757i	−0.642147	−	0.766582i	$-0.721956\pi$
$311$	6.04544	−	10.4710i	0.342806	−	0.593757i	0.984953	+	0.172825i	$0.0552894\pi$
$312$	−0.230230	+	0.132923i	−0.0130342	+	0.00752529i
$313$	9.43307	+	1.66330i	0.533188	+	0.0940155i	0.433759	−	0.901029i	$-0.357187\pi$
$313$	9.43307	+	1.66330i	0.533188	+	0.0940155i	0.0994297	+	0.995045i	$0.468298\pi$
$314$	0.669264	−	3.79558i	0.0377688	−	0.214197i
$315$	4.46472	+	0.462054i	0.251558	+	0.0260338i
$316$	−13.7224	+	23.7680i	−0.771948	+	1.33705i
$317$	−7.17941	+	8.55609i	−0.403236	+	0.480558i	−0.929004	−	0.370070i	$-0.879334\pi$
$317$	−7.17941	+	8.55609i	−0.403236	+	0.480558i	0.525768	+	0.850628i	$0.323778\pi$
$318$	−0.867550	+	2.38358i	−0.0486498	+	0.133664i
$319$	−3.80665	+	1.38551i	−0.213132	+	0.0775735i
$320$	15.0459	−	1.07626i	0.841094	−	0.0601648i
$321$	0.202527	+	1.14859i	0.0113040	+	0.0641080i
$322$			1.39588i			0.0777893i
$323$	−18.1972	−	13.3960i	−1.01252	−	0.745374i
$324$	−16.0530			−0.891833
$325$	11.2561	+	21.0076i	0.624378	+	1.16529i
$326$	30.2531	−	25.3854i	1.67556	−	1.40597i
$327$	−1.02646	−	2.82018i	−0.0567635	−	0.155956i
$328$	0.684489	−	1.88062i	0.0377946	−	0.103840i
$329$	−4.09505	−	3.43615i	−0.225767	−	0.189441i
$330$	−2.13531	+	0.954790i	−0.117545	+	0.0525595i
$331$	10.8439	+	18.7822i	0.596034	+	1.03236i	0.993400	+	0.114701i	$0.0365911\pi$
$331$	10.8439	+	18.7822i	0.596034	+	1.03236i	−0.397366	+	0.917660i	$0.630076\pi$
$332$	25.8169	+	4.55221i	1.41688	+	0.249835i
$333$	1.76280	+	0.310829i	0.0966006	+	0.0170333i
$334$	17.5153	+	30.3374i	0.958396	+	1.65999i
$335$	−3.75810	−	8.40469i	−0.205327	−	0.459197i
$336$	−0.416687	−	0.349642i	−0.0227322	−	0.0190745i
$337$	−0.0180757	+	0.0496626i	−0.000984647	+	0.00270530i	−0.940184	−	0.340667i	$-0.889347\pi$
$337$	−0.0180757	+	0.0496626i	−0.000984647	+	0.00270530i	0.939199	+	0.343372i	$0.111569\pi$
$338$	6.52229	+	17.9198i	0.354766	+	0.974711i
$339$	1.13365	−	0.951246i	0.0615715	−	0.0516646i
$340$	19.2740	+	9.36249i	1.04528	+	0.507753i
$341$	0.770008			0.0416983
$342$	−18.3468	+	17.4965i	−0.992082	+	0.946103i
$343$			9.16856i			0.495056i
$344$	−0.290450	−	1.64722i	−0.0156600	−	0.0888124i
$345$	−0.439974	+	0.0314721i	−0.0236874	+	0.00169440i
$346$	5.01823	−	1.82649i	0.269782	−	0.0981925i
$347$	−8.68262	+	23.8553i	−0.466107	+	1.28062i	0.454715	+	0.890637i	$0.349741\pi$
$347$	−8.68262	+	23.8553i	−0.466107	+	1.28062i	−0.920822	+	0.389982i	$0.872481\pi$
$348$	−0.318063	+	0.379053i	−0.0170500	+	0.0203194i
$349$	−7.80995	+	13.5272i	−0.418057	+	0.724096i	−0.995744	−	0.0921622i	$-0.970622\pi$
$349$	−7.80995	+	13.5272i	−0.418057	+	0.724096i	0.577687	+	0.816259i	$0.303956\pi$
$350$	−4.42808	+	4.94958i	−0.236691	+	0.264566i
$351$	−0.926741	+	5.25581i	−0.0494658	+	0.280534i
$352$	−21.8266	−	3.84862i	−1.16336	−	0.205132i
$353$	10.8004	−	6.23564i	0.574850	−	0.331890i	−0.184234	−	0.982882i	$-0.558981\pi$
$353$	10.8004	−	6.23564i	0.574850	−	0.331890i	0.759084	+	0.650993i	$0.225647\pi$
$354$	−1.86379	+	3.22818i	−0.0990593	+	0.171576i
$355$	−4.14055	−	16.4946i	−0.219758	−	0.875442i
$356$	−14.3097	−	5.20831i	−0.758414	−	0.276040i
$357$	−0.225334	−	0.619100i	−0.0119259	−	0.0327662i
$358$	−9.73031	−	11.5961i	−0.514263	−	0.612875i
$359$	5.84204	+	33.1318i	0.308331	+	1.74863i	0.607396	+	0.794399i	$0.292214\pi$
$359$	5.84204	+	33.1318i	0.308331	+	1.74863i	−0.299065	+	0.954233i	$0.596675\pi$
$360$	−1.15524	+	1.59541i	−0.0608868	+	0.0840855i
$361$	−0.900964	+	18.9786i	−0.0474191	+	0.998875i
$362$		−	2.09989i		−	0.110368i
$363$	−0.541718	+	0.0955195i	−0.0284328	+	0.00501347i
$364$	−4.57011	+	3.83478i	−0.239539	+	0.200997i
$365$	−9.88464	+	34.6808i	−0.517386	+	1.81527i
$366$	2.58554	+	0.941060i	0.135148	+	0.0491900i
$367$	−16.4618	+	19.6184i	−0.859299	+	1.02407i	0.140125	+	0.990134i	$0.455250\pi$
$367$	−16.4618	+	19.6184i	−0.859299	+	1.02407i	−0.999424	+	0.0339392i	$0.989195\pi$
$368$	−3.89529	−	2.24894i	−0.203056	−	0.117234i
$369$	−9.98479	−	17.2942i	−0.519787	−	0.900298i
$370$	−1.90220	+	1.84282i	−0.0988908	+	0.0958034i
$371$	0.809867	−	4.59299i	0.0420462	−	0.238456i
$372$	0.0814544	−	0.0470277i	0.00422322	−	0.00243827i
$373$	18.8456	+	10.8805i	0.975788	+	0.563372i	0.900996	−	0.433828i	$-0.142837\pi$
$373$	18.8456	+	10.8805i	0.975788	+	0.563372i	0.0747923	+	0.997199i	$0.476171\pi$
$374$	−22.1302	−	18.5695i	−1.14433	−	0.960204i
$375$	−1.65992	−	1.28412i	−0.0857180	−	0.0663114i
$376$	2.20442	−	0.802344i	0.113684	−	0.0413777i
$377$	−4.36930	−	5.20713i	−0.225031	−	0.268181i
$378$	−1.46456	+	0.258242i	−0.0753290	+	0.0132825i
$379$	6.63029			0.340575			0.170288	−	0.985394i	$-0.445530\pi$
$379$	6.63029			0.340575			0.170288	+	0.985394i	$0.445530\pi$
$380$	−2.42421	−	17.8535i	−0.124360	−	0.915867i
$381$	2.96096			0.151695
$382$	−10.3997	+	1.83375i	−0.532095	+	0.0938226i
$383$	17.3693	+	20.7000i	0.887532	+	1.05772i	0.997960	+	0.0638349i	$0.0203331\pi$
$383$	17.3693	+	20.7000i	0.887532	+	1.05772i	−0.110429	+	0.993884i	$0.535222\pi$
$384$	0.418069	−	0.152165i	0.0213345	−	0.00776512i
$385$	3.56161	−	2.41062i	0.181516	−	0.122857i
$386$	23.2482	+	19.5076i	1.18330	+	0.992910i
$387$	−14.4539	−	8.34499i	−0.734735	−	0.424200i
$388$	9.17062	−	5.29466i	0.465568	−	0.268796i
$389$	−4.51305	+	25.5948i	−0.228821	+	1.29771i	0.626424	+	0.779483i	$0.284518\pi$
$389$	−4.51305	+	25.5948i	−0.228821	+	1.29771i	−0.855245	+	0.518224i	$0.826593\pi$
$390$	−2.73096	−	2.81897i	−0.138288	−	0.142744i
$391$	−2.72394	−	4.71800i	−0.137755	−	0.238599i
$392$	−1.68325	−	0.971827i	−0.0850171	−	0.0490847i
$393$	−0.490618	+	0.584696i	−0.0247484	+	0.0294940i
$394$	−39.1419	−	14.2465i	−1.97194	−	0.717727i
$395$	31.9269	+	9.09974i	1.60642	+	0.457858i
$396$	−11.9261	+	10.0072i	−0.599308	+	0.502879i
$397$	21.0231	−	3.70695i	1.05512	−	0.186046i	0.380930	−	0.924604i	$-0.375604\pi$
$397$	21.0231	−	3.70695i	1.05512	−	0.186046i	0.674191	+	0.738557i	$0.264493\pi$
$398$		−	14.8726i		−	0.745494i
$399$	−0.328421	+	0.446128i	−0.0164416	+	0.0223343i
$400$	−6.67789	−	20.3313i	−0.333894	−	1.01656i
$401$	4.52547	+	25.6652i	0.225991	+	1.28166i	0.860781	+	0.508975i	$0.169975\pi$
$401$	4.52547	+	25.6652i	0.225991	+	1.28166i	−0.634790	+	0.772685i	$0.718913\pi$
$402$	0.974574	+	1.16145i	0.0486073	+	0.0579280i
$403$	0.441911	+	1.21414i	0.0220131	+	0.0604806i
$404$	−3.51289	−	1.27859i	−0.174773	−	0.0636120i
$405$	4.72780	+	18.8340i	0.234926	+	0.935868i
$406$	0.947073	−	1.64038i	0.0470024	−	0.0814106i
$407$	1.48530	−	0.857540i	0.0736237	−	0.0425067i
$408$	0.284728	+	0.0502053i	0.0140961	+	0.00248553i
$409$	4.05420	−	22.9925i	0.200467	−	1.13691i	−0.703948	−	0.710252i	$-0.748581\pi$
$409$	4.05420	−	22.9925i	0.200467	−	1.13691i	0.904415	−	0.426654i	$-0.140308\pi$
$410$	29.3899	+	3.04156i	1.45146	+	0.150212i
$411$	0.245148	−	0.424608i	0.0120922	−	0.0209444i
$412$	21.6682	−	25.8232i	1.06752	−	1.27222i
$413$	2.34412	−	6.44041i	0.115346	−	0.316912i
$414$	−5.74370	+	2.09054i	−0.282288	+	0.102744i
$415$	−2.26255	−	31.6300i	−0.111064	−	1.55266i
$416$	−6.45791	−	36.6246i	−0.316625	−	1.79567i
$417$			1.68398i			0.0824648i
$418$	−2.69043	+	24.1417i	−0.131593	+	1.18081i
$419$	−21.9951			−1.07453			−0.537265	−	0.843413i	$-0.680543\pi$
$419$	−21.9951			−1.07453			−0.537265	+	0.843413i	$0.680543\pi$
$420$	0.229534	−	0.472528i	0.0112001	−	0.0230570i
$421$	2.85822	−	2.39833i	0.139301	−	0.116888i	−0.570475	−	0.821315i	$-0.693241\pi$
$421$	2.85822	−	2.39833i	0.139301	−	0.116888i	0.709776	+	0.704428i	$0.248796\pi$
$422$	8.92323	+	24.5164i	0.434376	+	1.19344i
$423$	8.00599	−	21.9963i	0.389264	−	1.06950i
$424$	1.56784	+	1.31557i	0.0761410	+	0.0638899i
$425$	5.30801	−	25.3704i	0.257476	−	1.23064i
$426$	1.40032	+	2.42542i	0.0678457	+	0.117512i
$427$	−4.98216	−	0.878489i	−0.241104	−	0.0425131i
$428$	−11.3113	−	1.99448i	−0.546751	−	0.0964069i
$429$	1.27083	+	2.20115i	0.0613564	+	0.106272i
$430$	22.5434	−	10.0801i	1.08714	−	0.486107i
$431$	−19.0853	−	16.0145i	−0.919307	−	0.771390i	0.0545594	−	0.998511i	$-0.482625\pi$
$431$	−19.0853	−	16.0145i	−0.919307	−	0.771390i	−0.973867	+	0.227120i	$0.927069\pi$
$432$	1.63896	−	4.50302i	0.0788547	−	0.216651i
$433$	3.75273	+	10.3105i	0.180345	+	0.495492i	0.996618	−	0.0821730i	$-0.0261860\pi$
$433$	3.75273	+	10.3105i	0.180345	+	0.495492i	−0.816274	+	0.577666i	$0.803964\pi$
$434$	−0.275807	+	0.231430i	−0.0132392	+	0.0111090i
$435$	0.538393	+	0.261528i	0.0258140	+	0.0125393i
$436$	29.5555			1.41545
$437$	−2.03386	+	4.10456i	−0.0972927	+	0.196348i
$438$		−	5.93875i		−	0.283765i
$439$	1.47943	+	8.39029i	0.0706096	+	0.400447i	0.999544	+	0.0302020i	$0.00961507\pi$
$439$	1.47943	+	8.39029i	0.0706096	+	0.400447i	−0.928934	+	0.370245i	$0.879274\pi$
$440$	0.134659	+	1.88251i	0.00641961	+	0.0897450i
$441$	−18.2246	+	6.63322i	−0.867840	+	0.315868i
$442$	16.5795	−	45.5518i	0.788606	−	2.16668i
$443$	6.05322	−	7.21394i	0.287597	−	0.342745i	−0.602831	−	0.797869i	$-0.705961\pi$
$443$	6.05322	−	7.21394i	0.287597	−	0.342745i	0.890428	+	0.455124i	$0.150405\pi$
$444$	0.104747	−	0.181428i	0.00497109	−	0.00861018i
$445$	−1.89621	+	18.3226i	−0.0898889	+	0.868575i
$446$	6.77206	−	38.4063i	0.320667	−	1.81859i
$447$	−0.319445	−	0.0563268i	−0.0151092	−	0.00266417i
$448$	3.95554	−	2.28373i	0.186881	−	0.107896i
$449$	4.86372	−	8.42421i	0.229533	−	0.397563i	−0.728137	−	0.685432i	$-0.759613\pi$
$449$	4.86372	−	8.42421i	0.229533	−	0.397563i	0.957670	+	0.287869i	$0.0929468\pi$
$450$	−26.9980	−	10.8077i	−1.27270	−	0.509482i
$451$	−17.9799	−	6.54416i	−0.846642	−	0.308153i
$452$	4.98452	+	13.6949i	0.234452	+	0.644152i
$453$	−1.33613	−	1.59234i	−0.0627769	−	0.0748146i
$454$	9.30069	+	52.7468i	0.436503	+	2.47553i
$455$	5.84506	+	4.23244i	0.274021	+	0.198420i
$456$	−0.0974869	−	0.222704i	−0.00456524	−	0.0104291i
$457$			10.4686i			0.489700i	0.969561	+	0.244850i	$0.0787387\pi$
$457$			10.4686i			0.489700i	−0.969561	+	0.244850i	$0.921261\pi$
$458$	−28.2897	+	4.98823i	−1.32189	+	0.233085i
$459$	4.44621	−	3.73082i	0.207531	−	0.174140i
$460$	1.19068	−	4.17755i	0.0555157	−	0.194779i
$461$	21.3065	+	7.75492i	0.992342	+	0.361183i	0.786626	−	0.617429i	$-0.211826\pi$
$461$	21.3065	+	7.75492i	0.992342	+	0.361183i	0.205715	+	0.978612i	$0.434048\pi$
$462$	−0.455255	+	0.542552i	−0.0211804	+	0.0252418i
$463$	−30.8631	−	17.8188i	−1.43433	−	0.828110i	−0.436881	−	0.899519i	$-0.643917\pi$
$463$	−30.8631	−	17.8188i	−1.43433	−	0.828110i	−0.997447	+	0.0714094i	$0.977250\pi$
$464$	3.05172	+	5.28573i	0.141672	+	0.245384i
$465$	−0.0791640	−	0.0817152i	−0.00367114	−	0.00378945i
$466$	2.25833	−	12.8076i	0.104615	−	0.593303i
$467$	2.51286	−	1.45080i	0.116281	−	0.0671350i	−0.440731	−	0.897639i	$-0.645281\pi$
$467$	2.51286	−	1.45080i	0.116281	−	0.0671350i	0.557013	+	0.830504i	$0.311948\pi$
$468$	−22.6236	−	13.0618i	−1.04578	−	0.603780i
$469$	−2.13551	−	1.79191i	−0.0986088	−	0.0827426i
$470$	19.4131	+	28.6821i	0.895458	+	1.32301i
$471$	0.346536	−	0.126129i	0.0159675	−	0.00581170i
$472$	1.93330	+	2.30402i	0.0889873	+	0.106051i
$473$	−15.7486	+	2.77689i	−0.724119	+	0.127682i
$474$	−5.46718			−0.251116
$475$	−20.2325	+	8.10226i	−0.928330	+	0.371757i
$476$	6.48816			0.297384
$477$	20.1119	−	3.54627i	0.920862	−	0.162373i
$478$	15.9885	+	19.0543i	0.731296	+	0.871524i
$479$	27.5809	−	10.0386i	1.26020	−	0.458676i	0.376365	−	0.926471i	$-0.377174\pi$
$479$	27.5809	−	10.0386i	1.26020	−	0.458676i	0.883837	+	0.467795i	$0.154952\pi$
$480$	1.83555	+	2.71197i	0.0837811	+	0.123784i
$481$	2.20458	+	1.84986i	0.100520	+	0.0843464i
$482$	−23.9786	−	13.8440i	−1.09219	−	0.630578i
$483$	−0.115668	+	0.0667810i	−0.00526308	+	0.00303864i
$484$	0.940673	−	5.33482i	0.0427578	−	0.242492i
$485$	−8.91275	−	9.19998i	−0.404707	−	0.417749i
$486$	−4.89363	−	8.47601i	−0.221979	−	0.384480i
$487$	2.95906	+	1.70841i	0.134088	+	0.0774157i	0.565543	−	0.824719i	$-0.308666\pi$
$487$	2.95906	+	1.70841i	0.134088	+	0.0774157i	−0.431456	+	0.902134i	$0.642000\pi$
$488$	1.42705	−	1.70069i	0.0645993	−	0.0769865i
$489$	3.55089	+	1.29242i	0.160577	+	0.0584451i
$490$	7.86553	−	27.5966i	0.355329	−	1.24669i
$491$	−19.2938	+	16.1894i	−0.870717	+	0.730618i	−0.964249	−	0.264998i	$-0.914629\pi$
$491$	−19.2938	+	16.1894i	−0.870717	+	0.730618i	0.0935323	+	0.995616i	$0.470184\pi$
$492$	−2.30167	+	0.405846i	−0.103767	+	0.0182970i
$493$			7.39253i			0.332943i
$494$	−39.6105	+	9.61281i	−1.78216	+	0.432501i
$495$	15.2532	+	11.0449i	0.685579	+	0.496431i
$496$	−0.201457	−	1.14252i	−0.00904569	−	0.0513007i
$497$	−3.30998	−	3.94468i	−0.148473	−	0.176943i
$498$	1.78610	+	4.90727i	0.0800370	+	0.219900i
$499$	−32.6388	−	11.8795i	−1.46111	−	0.531801i	−0.515441	−	0.856925i	$-0.672372\pi$
$499$	−32.6388	−	11.8795i	−1.46111	−	0.531801i	−0.945671	+	0.325124i	$0.894594\pi$
$500$	17.4742	−	11.0359i	0.781472	−	0.493539i
$501$	−1.67592	+	2.90278i	−0.0748746	+	0.129687i
$502$	11.8483	−	6.84064i	0.528817	−	0.305313i
$503$	22.1171	+	3.89983i	0.986151	+	0.173885i	0.643391	−	0.765538i	$-0.277527\pi$
$503$	22.1171	+	3.89983i	0.986151	+	0.173885i	0.342760	+	0.939423i	$0.388638\pi$
$504$	−0.103569	+	0.587367i	−0.00461332	+	0.0261634i
$505$	−0.465499	+	4.49801i	−0.0207144	+	0.200159i
$506$	−2.92826	+	5.07189i	−0.130177	+	0.225473i
$507$	−1.17287	+	1.39778i	−0.0520891	+	0.0620774i
$508$	−9.97312	+	27.4009i	−0.442486	+	1.21572i
$509$	2.20641	−	0.803067i	0.0977974	−	0.0355953i	−0.292658	−	0.956217i	$-0.594540\pi$
$509$	2.20641	−	0.803067i	0.0977974	−	0.0355953i	0.390455	+	0.920622i	$0.372318\pi$
$510$	0.304555	+	4.25763i	0.0134859	+	0.188531i
$511$	1.89612	+	10.7534i	0.0838794	+	0.475704i
$512$			30.8493i			1.36336i
$513$	−4.68280	−	1.37458i	−0.206751	−	0.0606892i
$514$	30.9583			1.36551
$515$	−36.6782	−	17.8167i	−1.61624	−	0.785099i
$516$	−1.49635	+	1.25558i	−0.0658730	+	0.0552740i
$517$	−7.67094	−	21.0757i	−0.337367	−	0.926909i
$518$	−0.274279	+	0.753575i	−0.0120511	+	0.0331102i
$519$	0.391429	+	0.328448i	0.0171818	+	0.0144173i
$520$	−2.89103	+	1.29271i	−0.126780	+	0.0566890i
$521$	−0.761964	−	1.31976i	−0.0333822	−	0.0578197i	0.848852	−	0.528631i	$-0.177295\pi$
$521$	−0.761964	−	1.31976i	−0.0333822	−	0.0578197i	−0.882234	+	0.470811i	$0.843961\pi$
$522$	8.16814	+	1.44026i	0.357510	+	0.0630386i
$523$	13.2229	+	2.33156i	0.578198	+	0.101952i	0.455096	−	0.890442i	$-0.349605\pi$
$523$	13.2229	+	2.33156i	0.578198	+	0.101952i	0.123101	+	0.992394i	$0.460716\pi$
$524$	−3.75831	−	6.50958i	−0.164183	−	0.284372i
$525$	−0.621988	−	0.130133i	−0.0271458	−	0.00567946i
$526$	29.8957	+	25.0855i	1.30351	+	1.09378i
$527$	0.480599	−	1.32043i	0.0209352	−	0.0575190i
$528$	−0.780548	−	2.14454i	−0.0339690	−	0.0933291i
$529$	16.7730	−	14.0742i	0.729260	−	0.611922i
$530$	−13.2027	+	27.1796i	−0.573488	+	1.18061i
$531$	30.0114			1.30238
$532$	−3.02231	−	4.54188i	−0.131034	−	0.196915i
$533$		−	32.1063i		−	1.39068i
$534$	−0.526765	−	2.98744i	−0.0227954	−	0.129279i
$535$	0.991300	+	13.8582i	0.0428576	+	0.599142i
$536$	1.14958	−	0.418412i	0.0496541	−	0.0180726i
$537$	0.495389	−	1.36107i	0.0213776	−	0.0587345i
$538$	−14.3237	+	17.0703i	−0.617537	+	0.735952i
$539$	−9.29130	+	16.0930i	−0.400205	+	0.693175i
$540$	4.60339	+	0.476405i	0.198098	+	0.0205012i
$541$	2.81801	−	15.9817i	0.121156	−	0.687109i	−0.862361	−	0.506294i	$-0.831015\pi$
$541$	2.81801	−	15.9817i	0.121156	−	0.687109i	0.983517	−	0.180815i	$-0.0578737\pi$
$542$	46.1502	+	8.13752i	1.98232	+	0.349537i
$543$	0.174005	−	0.100462i	0.00746726	−	0.00431123i
$544$	−20.2227	+	35.0268i	−0.867043	+	1.50176i
$545$	−8.70443	−	34.6756i	−0.372857	−	1.48534i
$546$	−1.11676	−	0.406468i	−0.0477930	−	0.0173952i
$547$	3.39107	+	9.31688i	0.144992	+	0.398361i	0.990836	−	0.135068i	$-0.0431253\pi$
$547$	3.39107	+	9.31688i	0.144992	+	0.398361i	−0.845845	+	0.533429i	$0.820903\pi$
$548$	3.10364	+	3.69878i	0.132581	+	0.158004i
$549$	−3.84676	−	21.8160i	−0.164176	−	0.931086i
$550$	−26.4725	+	8.69501i	−1.12879	+	0.370757i
$551$	5.17496	−	3.44358i	0.220461	−	0.146702i
$552$		−	0.0586120i		−	0.00249469i
$553$	9.89954	−	1.74556i	0.420971	−	0.0742286i
$554$	−7.05270	+	5.91792i	−0.299641	+	0.251428i
$555$	−0.243707	−	0.0694610i	−0.0103448	−	0.00294845i
$556$	−15.5836	−	5.67198i	−0.660894	−	0.240546i
$557$	14.7090	−	17.5295i	0.623240	−	0.742748i	−0.358384	−	0.933574i	$-0.616672\pi$
$557$	14.7090	−	17.5295i	0.623240	−	0.742748i	0.981624	+	0.190826i	$0.0611166\pi$
$558$	−1.36534	−	0.788279i	−0.0577994	−	0.0333705i
$559$	−13.4167	−	23.2385i	−0.567467	−	0.982882i
$560$	−4.50865	−	4.65395i	−0.190525	−	0.196665i
$561$	0.479995	−	2.72219i	0.0202654	−	0.114931i
$562$	38.1508	−	22.0264i	1.60930	−	0.929128i
$563$	−10.8081	−	6.24004i	−0.455505	−	0.262986i	0.254647	−	0.967034i	$-0.418041\pi$
$563$	−10.8081	−	6.24004i	−0.455505	−	0.262986i	−0.710153	+	0.704048i	$0.751374\pi$
$564$	−2.09865	−	1.76097i	−0.0883690	−	0.0741504i
$565$	14.5993	−	9.88133i	0.614198	−	0.415711i
$566$	−20.0623	+	7.30209i	−0.843283	+	0.306930i
$567$	3.77943	+	4.50414i	0.158721	+	0.189156i
$568$	2.22543	−	0.392403i	0.0933768	−	0.0164649i
$569$	−1.90233			−0.0797500			−0.0398750	−	0.999205i	$-0.512696\pi$
$569$	−1.90233			−0.0797500			−0.0398750	+	0.999205i	$0.512696\pi$
$570$	2.83858	−	2.19648i	0.118895	−	0.0920005i
$571$	−12.2153			−0.511193			−0.255596	−	0.966784i	$-0.582272\pi$
$571$	−12.2153			−0.511193			−0.255596	+	0.966784i	$0.582272\pi$
$572$	−24.6500	+	4.34646i	−1.03067	+	0.181734i
$573$	−0.649489	−	0.774030i	−0.0271328	−	0.0323356i
$574$	8.40707	−	3.05992i	0.350904	−	0.127719i
$575$	−5.25193	−	0.166610i	−0.219021	−	0.00694812i
$576$	15.3210	+	12.8558i	0.638375	+	0.535660i
$577$	21.9021	+	12.6452i	0.911796	+	0.526425i	0.881008	−	0.473100i	$-0.156865\pi$
$577$	21.9021	+	12.6452i	0.911796	+	0.526425i	0.0307872	+	0.999526i	$0.490199\pi$
$578$	−16.7740	+	9.68448i	−0.697707	+	0.402821i
$579$	−0.504245	+	2.85971i	−0.0209557	+	0.118846i
$580$	−4.23361	+	4.10144i	−0.175791	+	0.170303i
$581$	−4.80092	−	8.31544i	−0.199176	−	0.344982i
$582$	1.82684	+	1.05473i	0.0757249	+	0.0437198i
$583$	12.5778	−	14.9896i	0.520917	−	0.620805i
$584$	−4.50283	−	1.63890i	−0.186328	−	0.0678180i
$585$	−8.66162	+	30.3897i	−0.358114	+	1.25646i
$586$	−18.7418	+	15.7262i	−0.774216	+	0.649644i
$587$	6.22574	−	1.09777i	0.256964	−	0.0453097i	−0.0436821	−	0.999045i	$-0.513909\pi$
$587$	6.22574	−	1.09777i	0.256964	−	0.0453097i	0.300646	+	0.953736i	$0.402798\pi$
$588$			2.26984i			0.0936067i
$589$	−1.14821	+	0.278652i	−0.0473112	+	0.0114817i
$590$	−26.0430	+	35.9658i	−1.07217	+	1.48069i
$591$	−0.692087	−	3.92502i	−0.0284687	−	0.161454i
$592$	−1.66100	−	1.97950i	−0.0682666	−	0.0813569i
$593$	0.199642	+	0.548512i	0.00819832	+	0.0225247i	0.943724	−	0.330733i	$-0.107296\pi$
$593$	0.199642	+	0.548512i	0.00819832	+	0.0225247i	−0.935526	+	0.353258i	$0.885074\pi$
$594$	−5.86320	−	2.13403i	−0.240570	−	0.0875603i
$595$	−1.91084	−	7.61215i	−0.0783367	−	0.312068i
$596$	1.59721	−	2.76645i	0.0654242	−	0.113318i
$597$	1.23240	−	0.711526i	0.0504387	−	0.0291208i
$598$	−9.67784	−	1.70646i	−0.395756	−	0.0697825i
$599$	−7.38388	+	41.8761i	−0.301697	+	1.71101i	0.336961	+	0.941519i	$0.390601\pi$
$599$	−7.38388	+	41.8761i	−0.301697	+	1.71101i	−0.638658	+	0.769491i	$0.720510\pi$
$600$	0.185932	−	0.207830i	0.00759065	−	0.00848461i
$601$	−8.13809	+	14.0956i	−0.331960	+	0.574971i	−0.982896	−	0.184161i	$-0.941043\pi$
$601$	−8.13809	+	14.0956i	−0.331960	+	0.574971i	0.650936	+	0.759132i	$0.274377\pi$
$602$	4.80632	−	5.72795i	0.195891	−	0.233454i
$603$	4.17501	−	11.4708i	0.170020	−	0.467125i
$604$	19.2360	−	7.00132i	0.782701	−	0.284880i
$605$	−6.53605	+	0.467534i	−0.265728	+	0.0190080i
$606$	−0.129315	−	0.733384i	−0.00525308	−	0.0297917i
$607$		−	6.86749i		−	0.278743i	−0.990240	−	0.139371i	$-0.955492\pi$
$607$		−	6.86749i		−	0.278743i	0.990240	−	0.139371i	$-0.0445082\pi$
$608$	33.9398	−	2.15972i	1.37644	−	0.0875881i
$609$	0.181238			0.00734412
$610$	29.4826	+	14.3214i	1.19371	+	0.579855i
$611$	28.8296	−	24.1909i	1.16632	−	0.978658i
$612$	9.71698	+	26.6972i	0.392786	+	1.07917i
$613$	−1.99841	+	5.49059i	−0.0807150	+	0.221763i	−0.973485	−	0.228749i	$-0.926536\pi$
$613$	−1.99841	+	5.49059i	−0.0807150	+	0.221763i	0.892770	+	0.450512i	$0.148759\pi$
$614$	6.27958	+	5.26920i	0.253423	+	0.212647i
$615$	1.15402	+	2.58088i	0.0465347	+	0.104071i
$616$	0.285734	+	0.494906i	0.0115126	+	0.0199403i
$617$	−37.9767	−	6.69631i	−1.52888	−	0.269583i	−0.654966	−	0.755658i	$-0.727317\pi$
$617$	−37.9767	−	6.69631i	−1.52888	−	0.269583i	−0.873917	+	0.486075i	$0.838428\pi$
$618$	6.61315	+	1.16608i	0.266020	+	0.0469065i
$619$	5.46007	+	9.45712i	0.219459	+	0.380114i	0.954643	−	0.297754i	$-0.0962375\pi$
$619$	5.46007	+	9.45712i	0.219459	+	0.380114i	−0.735184	+	0.677868i	$0.762904\pi$
$620$	1.02284	−	0.457355i	0.0410781	−	0.0183678i
$621$	−0.901359	−	0.756330i	−0.0361703	−	0.0303505i
$622$	−8.11256	+	22.2891i	−0.325284	+	0.893711i
$623$	1.90765	+	5.24123i	0.0764285	+	0.209986i
$624$	2.93352	−	2.46152i	0.117435	−	0.0985396i
$625$	−18.0941	−	17.2512i	−0.723762	−	0.690050i
$626$	−18.7910			−0.751039
$627$	−2.12919	+	0.932038i	−0.0850318	+	0.0372220i
$628$			3.63169i			0.144920i
$629$	−0.543488	−	3.08228i	−0.0216703	−	0.122898i
$630$	−8.78309	+	0.628269i	−0.349927	+	0.0250308i
$631$	−7.62467	+	2.77515i	−0.303533	+	0.110477i	−0.489297	−	0.872117i	$-0.662746\pi$
$631$	−7.62467	+	2.77515i	−0.303533	+	0.110477i	0.185763	+	0.982595i	$0.440524\pi$
$632$	−1.50876	+	4.14528i	−0.0600152	+	0.164890i
$633$	−1.60462	+	1.91231i	−0.0637780	+	0.0760077i
$634$	10.9557	−	18.9758i	0.435106	−	0.753626i
$635$	35.0850	+	3.63095i	1.39231	+	0.144090i
$636$	0.415045	−	2.35383i	0.0164576	−	0.0933356i
$637$	−30.7076	−	5.41457i	−1.21668	−	0.214533i
$638$	6.88234	−	3.97352i	0.272474	−	0.157313i
$639$	11.2742	−	19.5275i	0.446001	−	0.772496i
$640$	5.14037	−	1.29036i	0.203191	−	0.0510060i
$641$	−13.0690	−	4.75673i	−0.516195	−	0.187880i	0.0707688	−	0.997493i	$-0.477455\pi$
$641$	−13.0690	−	4.75673i	−0.516195	−	0.187880i	−0.586964	+	0.809613i	$0.699677\pi$
$642$	−0.782552	−	2.15004i	−0.0308849	−	0.0848555i
$643$	24.4957	+	29.1929i	0.966017	+	1.15125i	0.988456	+	0.151506i	$0.0484123\pi$
$643$	24.4957	+	29.1929i	0.966017	+	1.15125i	−0.0224393	+	0.999748i	$0.507143\pi$
$644$	−0.228402	−	1.29533i	−0.00900029	−	0.0510432i
$645$	1.91379	+	1.38579i	0.0753554	+	0.0545653i
$646$	39.7198	+	19.6816i	1.56276	+	0.774364i
$647$		−	28.6072i		−	1.12466i	−0.826912	−	0.562332i	$-0.809904\pi$
$647$		−	28.6072i		−	1.12466i	0.826912	−	0.562332i	$-0.190096\pi$
$648$	−2.54105	+	0.448056i	−0.0998221	+	0.0176013i
$649$	22.0279	−	18.4836i	0.864671	−	0.725545i
$650$	−28.9029	−	36.7515i	−1.13366	−	1.44151i
$651$	−0.0323722	−	0.0117825i	−0.00126877	−	0.000461793i
$652$	−23.9202	+	28.5070i	−0.936787	+	1.11642i
$653$	−10.2937	−	5.94304i	−0.402822	−	0.232569i	0.284879	−	0.958563i	$-0.408047\pi$
$653$	−10.2937	−	5.94304i	−0.402822	−	0.232569i	−0.687701	+	0.725994i	$0.741380\pi$
$654$	2.94381	+	5.09883i	0.115112	+	0.199380i
$655$	−6.53042	+	6.32654i	−0.255165	+	0.247198i
$656$	−5.00599	+	28.3904i	−0.195451	+	1.10846i
$657$	−41.4080	+	23.9069i	−1.61548	+	0.932699i
$658$	9.08204	+	5.24352i	0.354055	+	0.204414i
$659$	28.2769	+	23.7271i	1.10151	+	0.924278i	0.997526	−	0.0703009i	$-0.0223959\pi$
$659$	28.2769	+	23.7271i	1.10151	+	0.924278i	0.103986	+	0.994579i	$0.466840\pi$
$660$	1.82527	−	1.23541i	0.0710486	−	0.0480881i
$661$	8.49572	−	3.09219i	0.330445	−	0.120272i	−0.171469	−	0.985189i	$-0.554851\pi$
$661$	8.49572	−	3.09219i	0.330445	−	0.120272i	0.501914	+	0.864917i	$0.332629\pi$
$662$	−27.3483	−	32.5925i	−1.06292	−	1.26674i
$663$	4.56779	−	0.805424i	0.177398	−	0.0312801i
$664$	4.21365			0.163521
$665$	−4.43860	+	4.88352i	−0.172121	+	0.189375i
$666$	−3.51155			−0.136070
$667$	1.47588	−	0.260238i	0.0571465	−	0.0100765i
$668$	−21.2176	−	25.2862i	−0.820935	−	0.978353i
$669$	3.50648	−	1.27626i	0.135568	−	0.0493429i
$670$	10.1237	+	14.9574i	0.391111	+	0.577853i
$671$	−16.2597	−	13.6435i	−0.627698	−	0.526701i
$672$	0.858729	+	0.495787i	0.0331262	+	0.0191254i
$673$	−34.4994	+	19.9182i	−1.32985	+	0.767791i	−0.985277	−	0.170967i	$-0.945311\pi$
$673$	−34.4994	+	19.9182i	−1.32985	+	0.767791i	−0.344577	+	0.938758i	$0.611978\pi$
$674$	0.0180037	−	0.102104i	0.000693478	−	0.00393291i
$675$	−0.796816	−	5.54118i	−0.0306695	−	0.213280i
$676$	−8.98462	−	15.5618i	−0.345562	−	0.598532i
$677$	15.6221	+	9.01941i	0.600405	+	0.346644i	0.769201	−	0.639007i	$-0.220655\pi$
$677$	15.6221	+	9.01941i	0.600405	+	0.346644i	−0.168796	+	0.985651i	$0.553988\pi$
$678$	−1.86613	+	2.22396i	−0.0716682	+	0.0854108i
$679$	−3.64465	−	1.32655i	−0.139869	−	0.0509081i
$680$	3.31223	+	0.944046i	0.127018	+	0.0362025i
$681$	−3.92585	+	3.29418i	−0.150439	+	0.126233i
$682$	−1.48763	+	0.262309i	−0.0569643	+	0.0100443i
$683$		−	15.4271i		−	0.590301i	−0.955451	−	0.295151i	$-0.904630\pi$
$683$		−	15.4271i		−	0.590301i	0.955451	−	0.295151i	$-0.0953698\pi$
$684$	14.1624	−	19.2382i	0.541512	−	0.735591i
$685$	3.42549	−	4.73065i	0.130881	−	0.180749i
$686$	−3.12334	−	17.7134i	−0.119250	−	0.676299i
$687$	−1.76677	−	2.10555i	−0.0674063	−	0.0803317i
$688$	8.24059	+	22.6408i	0.314169	+	0.863173i
$689$	30.8538	+	11.2299i	1.17544	+	0.427824i
$690$	0.839295	−	0.210684i	0.0319514	−	0.00802059i
$691$	−1.51912	+	2.63119i	−0.0577901	+	0.100095i	−0.893473	−	0.449117i	$-0.851739\pi$
$691$	−1.51912	+	2.63119i	−0.0577901	+	0.100095i	0.835683	+	0.549212i	$0.185072\pi$
$692$	−4.35789	+	2.51603i	−0.165662	+	0.0956452i
$693$	5.61562	+	0.990185i	0.213320	+	0.0376140i
$694$	8.64803	−	49.0454i	0.328275	−	1.86174i
$695$	−2.06502	+	19.9538i	−0.0783306	+	0.756890i
$696$	−0.0397670	+	0.0688784i	−0.00150736	+	0.00261083i
$697$	−22.4443	+	26.7481i	−0.850138	+	1.01315i
$698$	10.4804	−	28.7947i	0.396689	−	1.08990i
$699$	1.16933	−	0.425603i	0.0442283	−	0.0160978i
$700$	3.29924	−	5.31760i	0.124700	−	0.200986i
$701$	−7.95179	−	45.0968i	−0.300335	−	1.70328i	−0.644690	−	0.764444i	$-0.723013\pi$
$701$	−7.95179	−	45.0968i	−0.300335	−	1.70328i	0.344355	−	0.938840i	$-0.388098\pi$
$702$		−	10.4697i		−	0.395155i
$703$	−1.90451	+	1.81624i	−0.0718298	+	0.0685008i
$704$	19.1631			0.722238
$705$	−1.44797	+	2.98084i	−0.0545335	+	0.112265i
$706$	−18.7419	+	15.7263i	−0.705360	+	0.591867i
$707$	0.468309	+	1.28667i	0.0176126	+	0.0483901i
$708$	1.20132	−	3.30061i	0.0451485	−	0.124045i
$709$	−16.8950	−	14.1766i	−0.634506	−	0.532414i	0.267819	−	0.963469i	$-0.413697\pi$
$709$	−16.8950	−	14.1766i	−0.634506	−	0.532414i	−0.902326	+	0.431055i	$0.858141\pi$
$710$	13.6184	+	30.4565i	0.511090	+	1.14301i
$711$	22.0086	+	38.1200i	0.825386	+	1.42961i
$712$	−2.41048	−	0.425032i	−0.0903365	−	0.0159288i
$713$	−0.280537	−	0.0494663i	−0.0105062	−	0.00185253i
$714$	0.646239	+	1.11932i	0.0241849	+	0.0418894i
$715$	12.3591	+	27.6402i	0.462205	+	1.03368i
$716$	10.9268	+	9.16871i	0.408355	+	0.342651i
$717$	−0.814003	+	2.23645i	−0.0303995	+	0.0835219i
$718$	−22.5732	−	62.0195i	−0.842426	−	2.31455i
$719$	5.43476	−	4.56031i	0.202682	−	0.170071i	−0.535797	−	0.844347i	$-0.679989\pi$
$719$	5.43476	−	4.56031i	0.202682	−	0.170071i	0.738479	+	0.674276i	$0.235544\pi$
$720$	12.3975	−	25.5220i	0.462027	−	0.951148i
$721$	−12.3469			−0.459822
$722$	−4.72459	−	36.9730i	−0.175831	−	1.37599i
$723$		−	2.64928i		−	0.0985277i
$724$	0.343596	+	1.94863i	0.0127696	+	0.0724202i
$725$	6.05881	+	3.75911i	0.225019	+	0.139610i
$726$	1.01404	−	0.369081i	0.0376346	−	0.0136979i
$727$	−9.64932	+	26.5113i	−0.357873	+	0.983249i	0.621893	+	0.783103i	$0.286364\pi$
$727$	−9.64932	+	26.5113i	−0.357873	+	0.983249i	−0.979766	+	0.200147i	$0.935858\pi$
$728$	−0.616378	+	0.734570i	−0.0228445	+	0.0272250i
$729$	−12.5580	+	21.7510i	−0.465110	+	0.805594i
$730$	7.28253	−	70.3694i	0.269538	−	2.60449i
$731$	−5.06752	+	28.7393i	−0.187429	+	1.06296i
$732$	−2.55328	−	0.450212i	−0.0943719	−	0.0166403i
$733$	0.897082	−	0.517931i	0.0331345	−	0.0191302i	−0.483341	−	0.875432i	$-0.660577\pi$
$733$	0.897082	−	0.517931i	0.0331345	−	0.0191302i	0.516476	+	0.856302i	$0.327244\pi$
$734$	25.1205	−	43.5100i	0.927214	−	1.60598i
$735$	2.66306	−	0.668495i	0.0982286	−	0.0246578i
$736$	7.70484	+	2.80433i	0.284004	+	0.103369i
$737$	−4.00029	−	10.9907i	−0.147353	−	0.404848i
$738$	25.1817	+	30.0103i	0.926950	+	1.10470i
$739$	−3.37137	−	19.1200i	−0.124018	−	0.703340i	−0.981886	−	0.189471i	$-0.939323\pi$
$739$	−3.37137	−	19.1200i	−0.124018	−	0.703340i	0.857868	−	0.513869i	$-0.171788\pi$
$740$	1.46365	−	2.02132i	0.0538049	−	0.0743053i
$741$	−2.69158	−	2.82239i	−0.0988777	−	0.103683i
$742$			9.14938i			0.335884i
$743$	12.5098	−	2.20582i	0.458941	−	0.0809237i	0.0606022	−	0.998162i	$-0.480698\pi$
$743$	12.5098	−	2.20582i	0.458941	−	0.0809237i	0.398339	+	0.917238i	$0.369587\pi$
$744$	0.0115810	−	0.00971758i	0.000424579	−	0.000356264i
$745$	−3.71609	−	1.05915i	−0.136147	−	0.0388044i
$746$	−40.1156	−	14.6009i	−1.46874	−	0.534576i
$747$	27.0259	−	32.2082i	0.988826	−	1.17844i
$748$	23.5746	+	13.6108i	0.861972	+	0.497660i
$749$	2.10345	+	3.64328i	0.0768584	+	0.133123i
$750$	3.64436	+	1.91540i	0.133073	+	0.0699406i
$751$	−0.801897	+	4.54778i	−0.0292616	+	0.165951i	−0.995937	−	0.0900552i	$-0.971296\pi$
$751$	−0.801897	+	4.54778i	−0.0292616	+	0.165951i	0.966675	+	0.256006i	$0.0824068\pi$
$752$	−29.2647	+	16.8960i	−1.06717	+	0.616134i
$753$	1.13369	+	0.654534i	0.0413138	+	0.0238525i
$754$	10.2152	+	8.57157i	0.372016	+	0.312158i
$755$	−13.8794	−	20.5064i	−0.505124	−	0.746304i
$756$	1.31681	−	0.479281i	0.0478920	−	0.0174313i
$757$	4.37741	+	5.21680i	0.159100	+	0.189608i	0.839705	−	0.543042i	$-0.182728\pi$
$757$	4.37741	+	5.21680i	0.159100	+	0.189608i	−0.680606	+	0.732650i	$0.738283\pi$
$758$	−12.8095	+	2.25866i	−0.465262	+	0.0820382i
$759$	−0.560370			−0.0203401
$760$	−0.882044	−	2.75840i	−0.0319951	−	0.100058i
$761$	24.4864			0.887632			0.443816	−	0.896118i	$-0.353624\pi$
$761$	24.4864			0.887632			0.443816	+	0.896118i	$0.353624\pi$
$762$	−5.72048	+	1.00867i	−0.207231	+	0.0365404i
$763$	−6.95837	−	8.29266i	−0.251910	−	0.300215i
$764$	9.35053	−	3.40332i	0.338290	−	0.123128i
$765$	28.4604	−	19.2630i	1.02899	−	0.696454i
$766$	−40.6086	−	34.0746i	−1.46725	−	1.23117i
$767$	41.7867	+	24.1255i	1.50883	+	0.871123i
$768$	−2.94910	+	1.70266i	−0.106417	+	0.0614396i
$769$	−0.519478	+	2.94611i	−0.0187329	+	0.106239i	−0.992741	−	0.120276i	$-0.961622\pi$
$769$	−0.519478	+	2.94611i	−0.0187329	+	0.106239i	0.974008	+	0.226515i	$0.0727333\pi$
$770$	−6.05972	+	5.87053i	−0.218377	+	0.211559i
$771$	1.48109	+	2.56533i	0.0533402	+	0.0923880i
$772$	−24.7656	−	14.2984i	−0.891332	−	0.514611i
$773$	−12.7042	+	15.1403i	−0.456938	+	0.544557i	−0.944491	−	0.328536i	$-0.893445\pi$
$773$	−12.7042	+	15.1403i	−0.456938	+	0.544557i	0.487554	+	0.873093i	$0.337889\pi$
$774$	30.7673	+	11.1984i	1.10591	+	0.402518i
$775$	−0.837824	−	1.06534i	−0.0300955	−	0.0382680i
$776$	1.30385	−	1.09406i	0.0468056	−	0.0392745i
$777$	−0.0755661	+	0.0133243i	−0.00271092	+	0.000478008i
$778$		−	50.9857i		−	1.82792i
$779$	29.1793	+	3.25183i	1.04546	+	0.116509i
$780$	2.99550	+	2.16906i	0.107256	+	0.0776649i
$781$	−3.75163	−	21.2765i	−0.134244	−	0.761335i
$782$	6.86978	+	8.18709i	0.245663	+	0.292770i
$783$	0.546087	+	1.50036i	0.0195155	+	0.0536185i
$784$	26.3093	+	9.57581i	0.939618	+	0.341993i
$785$	4.26083	−	1.06957i	0.152076	−	0.0381748i
$786$	0.748677	−	1.29675i	0.0267044	−	0.0462534i
$787$	−20.3920	+	11.7733i	−0.726895	+	0.419673i	−0.817285	−	0.576233i	$-0.804522\pi$
$787$	−20.3920	+	11.7733i	−0.726895	+	0.419673i	0.0903901	+	0.995906i	$0.471189\pi$
$788$	38.6535	+	6.81565i	1.37697	+	0.242798i
$789$	−0.648425	+	3.67740i	−0.0230846	+	0.130919i
$790$	−64.7816	−	6.70425i	−2.30483	−	0.238527i
$791$	2.66897	−	4.62280i	0.0948977	−	0.164368i
$792$	−1.60849	+	1.91692i	−0.0571551	+	0.0681148i
$793$	12.1814	−	33.4681i	0.432574	−	1.18849i
$794$	−39.3532	+	14.3234i	−1.39659	+	0.508318i
$795$	−2.88384	+	0.206286i	−0.102279	+	0.00731621i
$796$	2.43353	+	13.8013i	0.0862543	+	0.489173i
$797$		−	5.96976i		−	0.211460i	−0.994395	−	0.105730i	$-0.966282\pi$
$797$		−	5.96976i		−	0.211460i	0.994395	−	0.105730i	$-0.0337179\pi$
$798$	0.482522	−	0.973784i	0.0170811	−	0.0344716i
$799$	−40.9291			−1.44797
$800$	18.4242	+	34.3855i	0.651393	+	1.21571i
$801$	−18.7094	+	15.6991i	−0.661064	+	0.554699i
$802$	−17.4861	−	48.0427i	−0.617456	−	1.69645i
$803$	−15.6689	+	43.0500i	−0.552945	+	1.51920i
$804$	−1.09442	−	0.918325i	−0.0385971	−	0.0323868i
$805$	−1.45246	+	0.649459i	−0.0511926	+	0.0228904i
$806$	−1.26736	−	2.19514i	−0.0446409	−	0.0773204i
$807$	−2.09978	−	0.370247i	−0.0739157	−	0.0130333i
$808$	−0.591747	−	0.104341i	−0.0208176	−	0.00367070i
$809$	−12.9533	−	22.4358i	−0.455414	−	0.788801i	0.543297	−	0.839540i	$-0.317176\pi$
$809$	−12.9533	−	22.4358i	−0.455414	−	0.788801i	−0.998712	+	0.0507393i	$0.983842\pi$
$810$	−15.5499	−	34.7761i	−0.546367	−	1.22191i
$811$	21.1791	+	17.7713i	0.743698	+	0.624036i	0.933828	−	0.357723i	$-0.116447\pi$
$811$	21.1791	+	17.7713i	0.743698	+	0.624036i	−0.190130	+	0.981759i	$0.560891\pi$
$812$	−0.610445	+	1.67718i	−0.0214224	+	0.0588576i
$813$	1.53359	+	4.21350i	0.0537853	+	0.147774i
$814$	−2.57743	+	2.16272i	−0.0903388	+	0.0758032i
$815$	40.4902	+	19.6684i	1.41831	+	0.688955i
$816$	−4.16470			−0.145794
$817$	22.4788	−	9.83993i	0.786434	−	0.344256i
$818$			45.8018i			1.60142i
$819$	1.66151	+	9.42291i	0.0580580	+	0.329263i
$820$	−27.7706	+	1.98647i	−0.969791	+	0.0693707i
$821$	9.72970	−	3.54132i	0.339569	−	0.123593i	−0.166607	−	0.986023i	$-0.553281\pi$
$821$	9.72970	−	3.54132i	0.339569	−	0.123593i	0.506175	+	0.862431i	$0.331059\pi$
$822$	−0.328971	+	0.903841i	−0.0114742	+	0.0315251i
$823$	−27.2218	+	32.4417i	−0.948893	+	1.13085i	0.0423901	+	0.999101i	$0.486503\pi$
$823$	−27.2218	+	32.4417i	−0.948893	+	1.13085i	−0.991284	+	0.131746i	$0.957942\pi$
$824$	2.70914	−	4.69237i	0.0943775	−	0.163467i
$825$	−1.98699	−	1.77764i	−0.0691781	−	0.0618893i
$826$	−2.33478	+	13.2412i	−0.0812374	+	0.460720i
$827$	22.2391	+	3.92136i	0.773330	+	0.136359i	0.546369	−	0.837545i	$-0.316010\pi$
$827$	22.2391	+	3.92136i	0.773330	+	0.136359i	0.226962	+	0.973904i	$0.427121\pi$
$828$	4.98791	−	2.87977i	0.173342	−	0.100079i
$829$	−6.32446	+	10.9543i	−0.219657	+	0.380458i	−0.954703	−	0.297560i	$-0.903827\pi$
$829$	−6.32446	+	10.9543i	−0.219657	+	0.380458i	0.735046	+	0.678017i	$0.237161\pi$
$830$	15.1462	+	60.3374i	0.525731	+	2.09434i
$831$	−0.827794	−	0.301292i	−0.0287159	−	0.0104517i
$832$	10.9978	+	30.2162i	0.381280	+	1.04756i
$833$	21.7977	+	25.9774i	0.755244	+	0.900065i
$834$	−0.573661	−	3.25339i	−0.0198642	−	0.112656i
$835$	−23.4179	+	32.3404i	−0.810409	+	1.11919i
$836$	−1.45358	−	22.8430i	−0.0502732	−	0.790041i
$837$		−	0.303492i		−	0.0104902i
$838$	42.4938	−	7.49280i	1.46792	−	0.258834i
$839$	−35.3478	+	29.6603i	−1.22034	+	1.02399i	−0.221535	+	0.975152i	$0.571107\pi$
$839$	−35.3478	+	29.6603i	−1.22034	+	1.02399i	−0.998807	+	0.0488360i	$0.984449\pi$
$840$	0.0231445	−	0.0812038i	0.000798562	−	0.00280180i
$841$	25.3401	+	9.22305i	0.873797	+	0.318036i
$842$	−4.70498	+	5.60717i	−0.162144	+	0.193236i
$843$	3.65039	+	2.10755i	0.125726	+	0.0725880i
$844$	−12.2920	−	21.2903i	−0.423108	−	0.732844i
$845$	−15.6116	+	15.1242i	−0.537057	+	0.520290i
$846$	−7.97410	+	45.2234i	−0.274155	+	1.55481i
$847$	−1.71831	+	0.992066i	−0.0590418	+	0.0340878i
$848$	−25.5319	−	14.7409i	−0.876770	−	0.506203i
$849$	−1.56489	−	1.31310i	−0.0537070	−	0.0450655i
$850$	−1.61228	+	50.8229i	−0.0553009	+	1.74321i
$851$	−0.596230	+	0.217010i	−0.0204385	+	0.00743900i
$852$	−1.69631	−	2.02159i	−0.0581147	−	0.0692585i
$853$	−36.8941	+	6.50543i	−1.26323	+	0.222742i	−0.764846	−	0.644214i	$-0.777185\pi$
$853$	−36.8941	+	6.50543i	−1.26323	+	0.222742i	−0.498386	+	0.866955i	$0.666074\pi$
$854$	9.92463			0.339614
$855$	−26.7420	−	10.9500i	−0.914556	−	0.374480i
$856$	−1.84615			−0.0631000
$857$	33.3201	−	5.87524i	1.13819	−	0.200694i	0.427379	−	0.904073i	$-0.359437\pi$
$857$	33.3201	−	5.87524i	1.13819	−	0.200694i	0.710816	+	0.703378i	$0.248326\pi$
$858$	−3.20505	−	3.81962i	−0.109418	−	0.130400i
$859$	−19.9349	+	7.25572i	−0.680171	+	0.247562i	−0.658921	−	0.752212i	$-0.728987\pi$
$859$	−19.9349	+	7.25572i	−0.680171	+	0.247562i	−0.0212498	+	0.999774i	$0.506765\pi$
$860$	−19.2702	+	13.0427i	−0.657107	+	0.444753i
$861$	0.655764	+	0.550251i	0.0223484	+	0.0187525i
$862$	42.3277	+	24.4379i	1.44169	+	0.832358i
$863$	−25.2353	+	14.5696i	−0.859019	+	0.495955i	−0.863684	−	0.504034i	$-0.831848\pi$
$863$	−25.2353	+	14.5696i	−0.859019	+	0.495955i	0.00466481	+	0.999989i	$0.498515\pi$
$864$	−1.51690	+	8.60277i	−0.0516060	+	0.292672i
$865$	4.23535	+	4.37184i	0.144006	+	0.148647i
$866$	−10.7625	−	18.6412i	−0.365725	−	0.633454i
$867$	−1.60499	−	0.926641i	−0.0545083	−	0.0314704i
$868$	0.218072	−	0.259888i	0.00740185	−	0.00882119i
$869$	39.6316	+	14.4247i	1.34441	+	0.489325i
$870$	−1.12925	−	0.321856i	−0.0382851	−	0.0109119i
$871$	15.0342	−	12.6152i	0.509416	−	0.427450i
$872$	4.67838	−	0.824925i	0.158430	−	0.0279355i
$873$		−	16.9836i		−	0.574806i
$874$	2.53110	−	8.62273i	0.0856157	−	0.291668i
$875$	−7.21047	−	2.30470i	−0.243758	−	0.0779129i
$876$	0.971733	+	5.51097i	0.0328318	+	0.186198i
$877$	−4.13842	−	4.93198i	−0.139745	−	0.166541i	0.691633	−	0.722249i	$-0.256892\pi$
$877$	−4.13842	−	4.93198i	−0.139745	−	0.166541i	−0.831377	+	0.555708i	$0.812447\pi$
$878$	−5.71644	−	15.7058i	−0.192920	−	0.530045i
$879$	−2.19977	−	0.800652i	−0.0741965	−	0.0270053i
$880$	−6.61907	−	26.3682i	−0.223129	−	0.888872i
$881$	−7.19996	+	12.4707i	−0.242573	+	0.420148i	−0.961446	−	0.274993i	$-0.911325\pi$
$881$	−7.19996	+	12.4707i	−0.242573	+	0.420148i	0.718874	+	0.695141i	$0.244658\pi$
$882$	32.9497	−	19.0235i	1.10948	−	0.640556i
$883$	−25.4096	−	4.48039i	−0.855100	−	0.150777i	−0.271121	−	0.962545i	$-0.587394\pi$
$883$	−25.4096	−	4.48039i	−0.855100	−	0.150777i	−0.583980	+	0.811768i	$0.698505\pi$
$884$	−7.93179	+	44.9834i	−0.266775	+	1.51296i
$885$	−4.22620	−	0.437370i	−0.142062	−	0.0147020i
$886$	−9.23713	+	15.9992i	−0.310327	+	0.537503i
$887$	−16.6762	+	19.8739i	−0.559931	+	0.667300i	−0.969532	−	0.244965i	$-0.921224\pi$
$887$	−16.6762	+	19.8739i	−0.559931	+	0.667300i	0.409601	+	0.912265i	$0.365668\pi$
$888$	0.0115168	−	0.0316421i	0.000386478	−	0.00106184i
$889$	10.0362	−	3.65286i	0.336602	−	0.122513i
$890$	−2.57833	−	36.0446i	−0.0864259	−	1.20822i
$891$	4.28371	+	24.2942i	0.143510	+	0.813885i
$892$			36.7479i			1.23041i
$893$	19.0656	+	28.6515i	0.638005	+	0.958785i
$894$	0.636346			0.0212826
$895$	7.53899	−	15.5201i	0.252001	−	0.518779i
$896$	1.22932	−	1.03152i	0.0410687	−	0.0344607i
$897$	−0.321598	−	0.883584i	−0.0107379	−	0.0295020i
$898$	−6.52677	+	17.9321i	−0.217801	+	0.598404i
$899$	0.296114	+	0.248469i	0.00987595	+	0.00828690i
$900$	26.8217	+	5.61167i	0.894058	+	0.187056i
$901$	−17.8542	−	30.9245i	−0.594811	−	1.03024i
$902$	36.9660	+	6.51810i	1.23083	+	0.217029i
$903$	0.704583	+	0.124237i	0.0234470	+	0.00413435i
$904$	1.17125	+	2.02866i	0.0389551	+	0.0674722i
$905$	2.18501	−	0.977013i	0.0726322	−	0.0324770i
$906$	3.12381	+	2.62118i	0.103781	+	0.0870830i
$907$	10.2352	−	28.1209i	0.339853	−	0.933740i	−0.645582	−	0.763691i	$-0.723385\pi$
$907$	10.2352	−	28.1209i	0.339853	−	0.933740i	0.985436	−	0.170049i	$-0.0543926\pi$
$908$	−17.2615	−	47.4255i	−0.572843	−	1.57387i
$909$	−4.59296	+	3.85395i	−0.152339	+	0.127828i
$910$	−12.7343	−	6.18577i	−0.422137	−	0.205056i
$911$	3.36120			0.111362			0.0556808	−	0.998449i	$-0.482267\pi$
$911$	3.36120			0.111362			0.0556808	+	0.998449i	$0.482267\pi$
$912$	1.94000	+	2.91540i	0.0642398	+	0.0965386i
$913$		−	40.2853i		−	1.33325i
$914$	−3.56621	−	20.2250i	−0.117960	−	0.668982i
$915$	0.223765	+	3.12820i	0.00739744	+	0.103415i
$916$	25.4357	−	9.25784i	0.840419	−	0.305888i
$917$	−0.941622	+	2.58708i	−0.0310951	+	0.0854330i
$918$	−7.31900	+	8.72245i	−0.241563	+	0.287884i
$919$	3.46233	−	5.99694i	0.114212	−	0.197821i	−0.803253	−	0.595639i	$-0.796899\pi$
$919$	3.46233	−	5.99694i	0.114212	−	0.197821i	0.917464	+	0.397818i	$0.130232\pi$
$920$	0.0718743	−	0.694505i	0.00236963	−	0.0228971i
$921$	−0.136202	+	0.772437i	−0.00448799	+	0.0254527i
$922$	−43.8052	−	7.72404i	−1.44265	−	0.254378i
$923$	31.3955	−	18.1262i	1.03340	−	0.596632i
$924$	0.333687	−	0.577962i	0.0109775	−	0.0190136i
$925$	−2.80255	−	1.12191i	−0.0921474	−	0.0368881i
$926$	65.6965	+	23.9116i	2.15892	+	0.785783i
$927$	−18.4913	−	50.8045i	−0.607335	−	1.66864i
$928$	−7.15173	−	8.52310i	−0.234767	−	0.279785i
$929$	−4.74769	−	26.9255i	−0.155767	−	0.883396i	−0.958082	−	0.286495i	$-0.907510\pi$
$929$	−4.74769	−	26.9255i	−0.155767	−	0.883396i	0.802315	−	0.596901i	$-0.203601\pi$
$930$	0.180779	+	0.130903i	0.00592798	+	0.00429248i
$931$	8.03112	−	27.3597i	0.263209	−	0.896679i
$932$			12.2546i			0.401413i
$933$	−2.23508	+	0.394105i	−0.0731732	+	0.0129024i
$934$	−4.36053	+	3.65892i	−0.142681	+	0.119724i
$935$	9.02570	−	31.6671i	0.295172	−	1.03563i
$936$	−3.94570	−	1.43612i	−0.128969	−	0.0469409i
$937$	23.8716	−	28.4491i	0.779851	−	0.929390i	−0.219076	−	0.975708i	$-0.570304\pi$
$937$	23.8716	−	28.4491i	0.779851	−	0.929390i	0.998927	+	0.0463175i	$0.0147486\pi$
$938$	4.73616	+	2.73443i	0.154641	+	0.0892822i
$939$	−0.898989	−	1.55710i	−0.0293374	−	0.0508139i
$940$	−22.7078	−	23.4396i	−0.740648	−	0.764517i
$941$	8.80177	−	49.9173i	0.286929	−	1.62726i	−0.411382	−	0.911463i	$-0.634954\pi$
$941$	8.80177	−	49.9173i	0.286929	−	1.62726i	0.698311	−	0.715794i	$-0.253935\pi$
$942$	−0.626529	+	0.361727i	−0.0204134	+	0.0117857i
$943$	6.13023	+	3.53929i	0.199628	+	0.115255i
$944$	−33.1887	−	27.8487i	−1.08020	−	0.906396i
$945$	−0.950127	−	1.40378i	−0.0309076	−	0.0456650i
$946$	29.4797	−	10.7297i	0.958468	−	0.348854i
$947$	2.61402	+	3.11527i	0.0849442	+	0.101233i	0.806842	−	0.590767i	$-0.201175\pi$
$947$	2.61402	+	3.11527i	0.0849442	+	0.101233i	−0.721898	+	0.691999i	$0.756730\pi$
$948$	5.07336	−	0.894571i	0.164775	−	0.0290543i
$949$	−76.8732			−2.49541
$950$	36.3284	−	22.5456i	1.17865	−	0.731477i
$951$	2.09655			0.0679852
$952$	1.02702	−	0.181091i	0.0332859	−	0.00586921i
$953$	9.53460	+	11.3629i	0.308856	+	0.368080i	0.898036	−	0.439921i	$-0.144994\pi$
$953$	9.53460	+	11.3629i	0.308856	+	0.368080i	−0.589180	+	0.808002i	$0.700549\pi$
$954$	−37.6475	+	13.7026i	−1.21888	+	0.443637i
$955$	−6.74674	−	9.96808i	−0.218319	−	0.322559i
$956$	−17.9546	−	15.0657i	−0.580692	−	0.487258i
$957$	0.658523	+	0.380198i	0.0212870	+	0.0122901i
$958$	−49.8656	+	28.7899i	−1.61108	+	0.930160i
$959$	0.307098	−	1.74164i	0.00991671	−	0.0562405i
$960$	−1.97015	−	2.03364i	−0.0635863	−	0.0656355i
$961$	15.4633	+	26.7832i	0.498815	+	0.863973i
$962$	−4.88934	−	2.82286i	−0.157639	−	0.0910128i
$963$	−11.8410	+	14.1115i	−0.381571	+	0.454738i
$964$	24.5166	+	8.92330i	0.789626	+	0.287400i
$965$	−9.48168	+	33.2669i	−0.305226	+	1.07090i
$966$	0.200717	−	0.168422i	0.00645797	−	0.00541888i
$967$	55.8584	−	9.84935i	1.79629	−	0.316734i	0.826914	−	0.562329i	$-0.190095\pi$
$967$	55.8584	−	9.84935i	1.79629	−	0.316734i	0.969372	+	0.245595i	$0.0789835\pi$
$968$		−	0.870712i		−	0.0279858i
$969$	0.269358	+	4.23294i	0.00865301	+	0.135982i
$970$	20.3532	+	14.7379i	0.653501	+	0.473204i
$971$	−2.18689	−	12.4025i	−0.0701805	−	0.398014i	−0.999581	−	0.0289410i	$-0.990786\pi$
$971$	−2.18689	−	12.4025i	−0.0701805	−	0.398014i	0.929401	−	0.369073i	$-0.120325\pi$
$972$	5.92802	+	7.06474i	0.190141	+	0.226602i
$973$	2.07748	+	5.70783i	0.0666010	+	0.182985i
$974$	−6.29879	−	2.29257i	−0.201826	−	0.0734588i
$975$	1.66261	−	4.15325i	0.0532462	−	0.133011i
$976$	−15.9899	+	27.6953i	−0.511824	+	0.886505i
$977$	31.9540	−	18.4486i	1.02230	−	0.590224i	0.107529	−	0.994202i	$-0.465706\pi$
$977$	31.9540	−	18.4486i	1.02230	−	0.590224i	0.914769	+	0.403978i	$0.132373\pi$
$978$	−7.30047	−	1.28727i	−0.233443	−	0.0411623i
$979$	−4.06359	+	23.0458i	−0.129873	+	0.736546i
$980$	−2.78344	+	26.8958i	−0.0889139	+	0.859154i
$981$	23.7011	−	41.0515i	0.756718	−	1.31067i
$982$	31.7599	−	37.8500i	1.01350	−	1.20784i
$983$	3.26993	−	8.98405i	0.104295	−	0.286547i	−0.876559	−	0.481295i	$-0.840167\pi$
$983$	3.26993	−	8.98405i	0.104295	−	0.286547i	0.980853	+	0.194748i	$0.0623889\pi$
$984$	−0.353007	+	0.128484i	−0.0112535	+	0.00409592i
$985$	−3.38752	−	47.3570i	−0.107935	−	1.50892i
$986$	−2.51832	−	14.2821i	−0.0801997	−	0.454835i
$987$			1.00343i			0.0319396i
$988$	35.1843	−	15.4017i	1.11936	−	0.489992i
$989$	5.91606			0.188120
$990$	−33.2311	−	16.1423i	−1.05615	−	0.513035i
$991$	−12.4584	+	10.4538i	−0.395755	+	0.332077i	−0.818850	−	0.574008i	$-0.805388\pi$
$991$	−12.4584	+	10.4538i	−0.395755	+	0.332077i	0.423095	+	0.906085i	$0.360944\pi$
$992$	0.723325	+	1.98732i	0.0229656	+	0.0630974i
$993$	1.39236	−	3.82546i	0.0441851	−	0.121397i
$994$	7.73855	+	6.49342i	0.245452	+	0.205959i
$995$	15.4754	−	6.91974i	0.490605	−	0.219371i
$996$	−2.46040	−	4.26153i	−0.0779607	−	0.135032i
$997$	−36.0838	−	6.36254i	−1.14278	−	0.201504i	−0.429961	−	0.902848i	$-0.641473\pi$
$997$	−36.0838	−	6.36254i	−1.14278	−	0.201504i	−0.712823	+	0.701344i	$0.752584\pi$
$998$	67.1039	+	11.8322i	2.12414	+	0.374543i
$999$	−0.337992	−	0.585420i	−0.0106936	−	0.0185219i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.p.a.9.1	✓	48
3.2	odd	2		855.2.da.b.199.8		48
5.2	odd	4		475.2.l.f.351.1		48
5.3	odd	4		475.2.l.f.351.8		48
5.4	even	2	inner	95.2.p.a.9.8	yes	48
15.14	odd	2		855.2.da.b.199.1		48
19.6	even	9		1805.2.b.k.1084.21		24
19.13	odd	18		1805.2.b.l.1084.4		24
19.17	even	9	inner	95.2.p.a.74.8	yes	48
57.17	odd	18		855.2.da.b.739.1		48
95.13	even	36		9025.2.a.ct.1.4		24
95.17	odd	36		475.2.l.f.226.1		48
95.32	even	36		9025.2.a.ct.1.21		24
95.44	even	18		1805.2.b.k.1084.4		24
95.63	odd	36		9025.2.a.cu.1.21		24
95.74	even	18	inner	95.2.p.a.74.1	yes	48
95.82	odd	36		9025.2.a.cu.1.4		24
95.89	odd	18		1805.2.b.l.1084.21		24
95.93	odd	36		475.2.l.f.226.8		48
285.74	odd	18		855.2.da.b.739.8		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.p.a.9.1	✓	48	1.1	even	1	trivial
95.2.p.a.9.8	yes	48	5.4	even	2	inner
95.2.p.a.74.1	yes	48	95.74	even	18	inner
95.2.p.a.74.8	yes	48	19.17	even	9	inner
475.2.l.f.226.1		48	95.17	odd	36
475.2.l.f.226.8		48	95.93	odd	36
475.2.l.f.351.1		48	5.2	odd	4
475.2.l.f.351.8		48	5.3	odd	4
855.2.da.b.199.1		48	15.14	odd	2
855.2.da.b.199.8		48	3.2	odd	2
855.2.da.b.739.1		48	57.17	odd	18
855.2.da.b.739.8		48	285.74	odd	18
1805.2.b.k.1084.4		24	95.44	even	18
1805.2.b.k.1084.21		24	19.6	even	9
1805.2.b.l.1084.4		24	19.13	odd	18
1805.2.b.l.1084.21		24	95.89	odd	18
9025.2.a.ct.1.4		24	95.13	even	36
9025.2.a.ct.1.21		24	95.32	even	36
9025.2.a.cu.1.4		24	95.82	odd	36
9025.2.a.cu.1.21		24	95.63	odd	36

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.p (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.93197 + 0.340658i) q^{2} +(-0.120656 - 0.143793i) q^{3} +(1.73706 - 0.632239i) q^{4} +(-1.25335 - 1.85179i) q^{5} +(0.282088 + 0.236700i) q^{6} +(-0.586358 - 0.338534i) q^{7} +(0.257316 - 0.148561i) q^{8} +(0.514826 - 2.91972i) q^{9} +(3.05226 + 3.15062i) q^{10} +(-1.42035 - 2.46011i) q^{11} +(-0.300499 - 0.173493i) q^{12} +(3.06393 - 3.65145i) q^{13} +(1.24815 + 0.454289i) q^{14} +(-0.115048 + 0.403653i) q^{15} +(-3.27865 + 2.75111i) q^{16} +(-5.10518 + 0.900181i) q^{17} +5.81619i q^{18} +(3.00824 + 3.15444i) q^{19} +(-3.34792 - 2.42425i) q^{20} +(0.0220691 + 0.125160i) q^{21} +(3.58212 + 4.26900i) q^{22} +(0.359434 + 0.987537i) q^{23} +(-0.0524089 - 0.0190753i) q^{24} +(-1.85822 + 4.64188i) q^{25} +(-4.67552 + 8.09823i) q^{26} +(-0.969633 + 0.559818i) q^{27} +(-1.23257 - 0.217336i) q^{28} +(0.247630 - 1.40438i) q^{29} +(0.0847621 - 0.819036i) q^{30} +(-0.135532 + 0.234748i) q^{31} +(5.01508 - 5.97674i) q^{32} +(-0.182372 + 0.501064i) q^{33} +(9.55639 - 3.47824i) q^{34} +(0.108021 + 1.51011i) q^{35} +(-0.951679 - 5.39724i) q^{36} +0.603754i q^{37} +(-6.88641 - 5.06949i) q^{38} -0.894735 q^{39} +(-0.597611 - 0.290294i) q^{40} +(5.15980 - 4.32958i) q^{41} +(-0.0852737 - 0.234288i) q^{42} +(1.92538 - 5.28994i) q^{43} +(-4.02261 - 3.37537i) q^{44} +(-6.05196 + 2.70609i) q^{45} +(-1.03083 - 1.78544i) q^{46} +(7.77543 + 1.37102i) q^{47} +(0.791181 + 0.139507i) q^{48} +(-3.27079 - 5.66517i) q^{49} +(2.00872 - 9.60097i) q^{50} +(0.745413 + 0.625476i) q^{51} +(3.01365 - 8.27993i) q^{52} +(2.35594 + 6.47288i) q^{53} +(1.68259 - 1.41186i) q^{54} +(-2.77540 + 5.71356i) q^{55} -0.201172 q^{56} +(0.0906217 - 0.813167i) q^{57} +2.79757i q^{58} +(1.75779 + 9.96889i) q^{59} +(0.0553589 + 0.773908i) q^{60} +(7.02134 - 2.55556i) q^{61} +(0.181874 - 0.499695i) q^{62} +(-1.29030 + 1.53772i) q^{63} +(-3.37297 + 5.84216i) q^{64} +(-10.6019 - 1.09719i) q^{65} +(0.181646 - 1.03016i) q^{66} +(4.05478 + 0.714967i) q^{67} +(-8.29889 + 4.79137i) q^{68} +(0.0986326 - 0.170837i) q^{69} +(-0.723123 - 2.88068i) q^{70} +(7.14680 + 2.60122i) q^{71} +(-0.301285 - 0.827775i) q^{72} +(-10.3665 - 12.3543i) q^{73} +(-0.205674 - 1.16643i) q^{74} +(0.891675 - 0.292874i) q^{75} +(7.21986 + 3.57753i) q^{76} +1.92334i q^{77} +(1.72860 - 0.304799i) q^{78} +(-11.3733 + 9.54332i) q^{79} +(9.20378 + 2.62324i) q^{80} +(-8.16041 - 2.97015i) q^{81} +(-8.49365 + 10.1223i) q^{82} +(12.2815 + 7.09076i) q^{83} +(0.117467 + 0.203458i) q^{84} +(8.06553 + 8.32546i) q^{85} +(-1.91771 + 10.8759i) q^{86} +(-0.231818 + 0.133840i) q^{87} +(-0.730955 - 0.422017i) q^{88} +(-6.31059 - 5.29521i) q^{89} +(10.7703 - 7.28973i) q^{90} +(-3.03270 + 1.10381i) q^{91} +(1.24872 + 1.48817i) q^{92} +(0.0501079 - 0.00883537i) q^{93} -15.4889 q^{94} +(2.07096 - 9.52424i) q^{95} -1.46451 q^{96} +(5.64144 - 0.994738i) q^{97} +(8.24894 + 9.83071i) q^{98} +(-7.91407 + 2.88049i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9} - 15 q^{10} - 12 q^{11} + 6 q^{14} + 3 q^{15} - 42 q^{16} + 12 q^{19} + 42 q^{20} - 54 q^{21} + 24 q^{24} + 12 q^{25} + 12 q^{26} + 18 q^{30} - 42 q^{31} - 36 q^{34}+ \cdots - 36 q^{99}+O(q^{100}) \) 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9 - 15 * q^10 - 12 * q^11 + 6 * q^14 + 3 * q^15 - 42 * q^16 + 12 * q^19 + 42 * q^20 - 54 * q^21 + 24 * q^24 + 12 * q^25 + 12 * q^26 + 18 * q^30 - 42 * q^31 - 36 * q^34 + 6 * q^35 + 18 * q^36 - 48 * q^39 + 66 * q^40 + 6 * q^41 - 6 * q^44 - 9 * q^45 - 6 * q^46 + 12 * q^49 - 18 * q^50 + 108 * q^51 + 24 * q^54 + 36 * q^56 - 36 * q^59 - 114 * q^60 + 48 * q^61 - 18 * q^65 + 180 * q^66 + 66 * q^69 - 123 * q^70 - 24 * q^71 + 84 * q^74 + 72 * q^75 + 66 * q^76 + 48 * q^79 - 39 * q^80 - 78 * q^81 - 54 * q^84 - 84 * q^85 - 42 * q^86 - 12 * q^89 + 18 * q^90 - 30 * q^91 - 72 * q^94 - 63 * q^95 - 240 * q^96 - 36 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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