LMFDB - Embedded newform 93.2.f.b.4.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [93,2,Mod(4,93)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(93, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("93.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 93 = 3 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	93.f (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.742608738798$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 3 x^{15} + 13 x^{14} - 28 x^{13} + 90 x^{12} - 119 x^{11} + 382 x^{10} - 356 x^{9} + 1869 x^{8} + \cdots + 81 $ x^16 - 3x^15 + 13x^14 - 28x^13 + 90x^12 - 119x^11 + 382x^10 - 356x^9 + 1869x^8 - 2812x^7 + 5846x^6 - 4987x^5 + 4006x^4 - 1014x^3 + 2493x^2 + 729*x + 81
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			4.3
Root			$-0.239090 - 0.735844i$ of defining polynomial
Character	$\chi$	$=$	93.4
Dual form			93.2.f.b.70.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.239090 + 0.735844i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.13373 - 0.823704i) q^{4} -1.00402 q^{5} +0.773712 q^{6} +(0.312272 - 0.226879i) q^{7} +(2.12907 + 1.54686i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(0.239090 + 0.735844i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.13373 - 0.823704i) q^{4} -1.00402 q^{5} +0.773712 q^{6} +(0.312272 - 0.226879i) q^{7} +(2.12907 + 1.54686i) q^{8} +(-0.809017 - 0.587785i) q^{9} +(-0.240052 - 0.738805i) q^{10} +(-3.14343 + 2.28384i) q^{11} +(-0.433047 - 1.33278i) q^{12} +(-0.958621 + 2.95033i) q^{13} +(0.241609 + 0.175539i) q^{14} +(-0.310260 + 0.954883i) q^{15} +(0.236885 - 0.729057i) q^{16} +(-0.0512078 - 0.0372047i) q^{17} +(0.239090 - 0.735844i) q^{18} +(-0.514729 - 1.58417i) q^{19} +(-1.13829 + 0.827019i) q^{20} +(-0.119277 - 0.367098i) q^{21} +(-2.43211 - 1.76703i) q^{22} +(-2.64142 - 1.91911i) q^{23} +(2.12907 - 1.54686i) q^{24} -3.99194 q^{25} -2.40018 q^{26} +(-0.809017 + 0.587785i) q^{27} +(0.167152 - 0.514440i) q^{28} +(0.788441 + 2.42657i) q^{29} -0.776825 q^{30} +(-0.362712 - 5.55594i) q^{31} +5.85647 q^{32} +(1.20068 + 3.69533i) q^{33} +(0.0151335 - 0.0465762i) q^{34} +(-0.313529 + 0.227792i) q^{35} -1.40137 q^{36} +7.08444 q^{37} +(1.04264 - 0.757520i) q^{38} +(2.50970 + 1.82341i) q^{39} +(-2.13764 - 1.55309i) q^{40} +(0.240052 + 0.738805i) q^{41} +(0.241609 - 0.175539i) q^{42} +(3.55603 + 10.9443i) q^{43} +(-1.68260 + 5.17852i) q^{44} +(0.812272 + 0.590150i) q^{45} +(0.780624 - 2.40251i) q^{46} +(3.63675 - 11.1928i) q^{47} +(-0.620173 - 0.450582i) q^{48} +(-2.11708 + 6.51570i) q^{49} +(-0.954433 - 2.93744i) q^{50} +(-0.0512078 + 0.0372047i) q^{51} +(1.34338 + 4.13450i) q^{52} +(4.10095 + 2.97952i) q^{53} +(-0.625946 - 0.454777i) q^{54} +(3.15608 - 2.29303i) q^{55} +1.01580 q^{56} -1.66570 q^{57} +(-1.59707 + 1.16034i) q^{58} +(4.21720 - 12.9792i) q^{59} +(0.434789 + 1.33814i) q^{60} -10.0728 q^{61} +(4.00158 - 1.59527i) q^{62} -0.385990 q^{63} +(0.926455 + 2.85134i) q^{64} +(0.962478 - 2.96220i) q^{65} +(-2.43211 + 1.76703i) q^{66} +8.74372 q^{67} -0.0887016 q^{68} +(-2.64142 + 1.91911i) q^{69} +(-0.242581 - 0.176245i) q^{70} +(-6.78888 - 4.93241i) q^{71} +(-0.813234 - 2.50288i) q^{72} +(4.07132 - 2.95798i) q^{73} +(1.69382 + 5.21304i) q^{74} +(-1.23358 + 3.79656i) q^{75} +(-1.88845 - 1.37204i) q^{76} +(-0.463452 + 1.42636i) q^{77} +(-0.741697 + 2.28271i) q^{78} +(-3.77249 - 2.74087i) q^{79} +(-0.237838 + 0.731990i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-0.486251 + 0.353282i) q^{82} +(-3.29817 - 10.1507i) q^{83} +(-0.437609 - 0.317941i) q^{84} +(0.0514138 + 0.0373543i) q^{85} +(-7.20311 + 5.23337i) q^{86} +2.55145 q^{87} -10.2254 q^{88} +(-2.09491 + 1.52204i) q^{89} +(-0.240052 + 0.738805i) q^{90} +(0.370018 + 1.13880i) q^{91} -4.57544 q^{92} +(-5.39609 - 1.37192i) q^{93} +9.10563 q^{94} +(0.516800 + 1.59055i) q^{95} +(1.80975 - 5.56983i) q^{96} +(-10.7193 + 7.78800i) q^{97} -5.30071 q^{98} +3.88550 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 3 q^{2} - 4 q^{3} - 9 q^{4} + 6 q^{5} + 2 q^{6} - 7 q^{7} - 2 q^{8} - 4 q^{9}+O(q^{10}) $ 16 * q - 3 * q^2 - 4 * q^3 - 9 * q^4 + 6 * q^5 + 2 * q^6 - 7 * q^7 - 2 * q^8 - 4 * q^9	\( 16 q - 3 q^{2} - 4 q^{3} - 9 q^{4} + 6 q^{5} + 2 q^{6} - 7 q^{7} - 2 q^{8} - 4 q^{9} - 3 q^{10} + 10 q^{11} - 4 q^{12} - 3 q^{13} - 4 q^{14} - 4 q^{15} - 17 q^{16} - q^{17} - 3 q^{18} - 4 q^{19} + 7 q^{20} + 8 q^{21} + 10 q^{22} + 7 q^{23} - 2 q^{24} + 30 q^{25} - 16 q^{26} - 4 q^{27} + 9 q^{28} - 2 q^{29} + 12 q^{30} - 13 q^{31} + 108 q^{32} - 5 q^{33} - 4 q^{34} - 33 q^{35} + 26 q^{36} - 28 q^{37} - 62 q^{38} + 7 q^{39} - 27 q^{40} + 3 q^{41} - 4 q^{42} - 13 q^{43} - 64 q^{44} + q^{45} - q^{46} - 20 q^{47} - 2 q^{48} + q^{49} - 44 q^{50} - q^{51} + 88 q^{52} - 4 q^{53} + 2 q^{54} - 8 q^{55} + 104 q^{56} - 14 q^{57} - 31 q^{58} + 49 q^{59} - 8 q^{60} - 13 q^{62} - 2 q^{63} - 26 q^{64} - q^{65} + 10 q^{66} + 60 q^{67} - 30 q^{68} + 7 q^{69} + 85 q^{70} + 23 q^{71} - 7 q^{72} - 17 q^{73} + 70 q^{74} - 5 q^{75} + 7 q^{76} + 2 q^{77} + 19 q^{78} - 13 q^{79} - 94 q^{80} - 4 q^{81} - 9 q^{82} - 49 q^{83} - 6 q^{84} - 4 q^{85} + 24 q^{86} - 2 q^{87} - 32 q^{88} + 3 q^{89} - 3 q^{90} - 2 q^{91} - 70 q^{92} + 17 q^{93} + 74 q^{94} - 10 q^{95} - 32 q^{96} + 3 q^{97} - 82 q^{98} - 10 q^{99}+O(q^{100}) \) 16 * q - 3 * q^2 - 4 * q^3 - 9 * q^4 + 6 * q^5 + 2 * q^6 - 7 * q^7 - 2 * q^8 - 4 * q^9 - 3 * q^10 + 10 * q^11 - 4 * q^12 - 3 * q^13 - 4 * q^14 - 4 * q^15 - 17 * q^16 - q^17 - 3 * q^18 - 4 * q^19 + 7 * q^20 + 8 * q^21 + 10 * q^22 + 7 * q^23 - 2 * q^24 + 30 * q^25 - 16 * q^26 - 4 * q^27 + 9 * q^28 - 2 * q^29 + 12 * q^30 - 13 * q^31 + 108 * q^32 - 5 * q^33 - 4 * q^34 - 33 * q^35 + 26 * q^36 - 28 * q^37 - 62 * q^38 + 7 * q^39 - 27 * q^40 + 3 * q^41 - 4 * q^42 - 13 * q^43 - 64 * q^44 + q^45 - q^46 - 20 * q^47 - 2 * q^48 + q^49 - 44 * q^50 - q^51 + 88 * q^52 - 4 * q^53 + 2 * q^54 - 8 * q^55 + 104 * q^56 - 14 * q^57 - 31 * q^58 + 49 * q^59 - 8 * q^60 - 13 * q^62 - 2 * q^63 - 26 * q^64 - q^65 + 10 * q^66 + 60 * q^67 - 30 * q^68 + 7 * q^69 + 85 * q^70 + 23 * q^71 - 7 * q^72 - 17 * q^73 + 70 * q^74 - 5 * q^75 + 7 * q^76 + 2 * q^77 + 19 * q^78 - 13 * q^79 - 94 * q^80 - 4 * q^81 - 9 * q^82 - 49 * q^83 - 6 * q^84 - 4 * q^85 + 24 * q^86 - 2 * q^87 - 32 * q^88 + 3 * q^89 - 3 * q^90 - 2 * q^91 - 70 * q^92 + 17 * q^93 + 74 * q^94 - 10 * q^95 - 32 * q^96 + 3 * q^97 - 82 * q^98 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/93\mathbb{Z}\right)^\times$.

$n$	$32$	$34$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

Coefficient data

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

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

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

$2$	0.239090	+	0.735844i	0.169062	+	0.520320i	0.999313	−	0.0370704i	$-0.0118026\pi$
$2$	0.239090	+	0.735844i	0.169062	+	0.520320i	−0.830250	+	0.557391i	$0.811803\pi$
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$4$	1.13373	−	0.823704i	0.566866	−	0.411852i
$5$	−1.00402			−0.449013			−0.224506	−	0.974473i	$-0.572077\pi$
$5$	−1.00402			−0.449013			−0.224506	+	0.974473i	$0.572077\pi$
$6$	0.773712			0.315867
$7$	0.312272	−	0.226879i	0.118028	−	0.0857522i	−0.527205	−	0.849738i	$-0.676760\pi$
$7$	0.312272	−	0.226879i	0.118028	−	0.0857522i	0.645233	+	0.763986i	$0.276760\pi$
$8$	2.12907	+	1.54686i	0.752742	+	0.546899i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	−0.240052	−	0.738805i	−0.0759112	−	0.233631i
$11$	−3.14343	+	2.28384i	−0.947781	+	0.688603i	−0.950281	−	0.311394i	$-0.899204\pi$
$11$	−3.14343	+	2.28384i	−0.947781	+	0.688603i	0.00250011	+	0.999997i	$0.499204\pi$
$12$	−0.433047	−	1.33278i	−0.125010	−	0.384741i
$13$	−0.958621	+	2.95033i	−0.265874	+	0.818275i	0.725617	+	0.688098i	$0.241554\pi$
$13$	−0.958621	+	2.95033i	−0.265874	+	0.818275i	−0.991491	+	0.130176i	$0.958446\pi$
$14$	0.241609	+	0.175539i	0.0645727	+	0.0469148i
$15$	−0.310260	+	0.954883i	−0.0801089	+	0.246550i
$16$	0.236885	−	0.729057i	0.0592212	−	0.182264i
$17$	−0.0512078	−	0.0372047i	−0.0124197	−	0.00902345i	0.581558	−	0.813505i	$-0.302443\pi$
$17$	−0.0512078	−	0.0372047i	−0.0124197	−	0.00902345i	−0.593978	+	0.804481i	$0.702443\pi$
$18$	0.239090	−	0.735844i	0.0563541	−	0.173440i
$19$	−0.514729	−	1.58417i	−0.118087	−	0.363434i	0.874491	−	0.485041i	$-0.161195\pi$
$19$	−0.514729	−	1.58417i	−0.118087	−	0.363434i	−0.992578	+	0.121607i	$0.961195\pi$
$20$	−1.13829	+	0.827019i	−0.254530	+	0.184927i
$21$	−0.119277	−	0.367098i	−0.0260284	−	0.0801073i
$22$	−2.43211	−	1.76703i	−0.518528	−	0.376733i
$23$	−2.64142	−	1.91911i	−0.550774	−	0.400161i	0.277296	−	0.960784i	$-0.410562\pi$
$23$	−2.64142	−	1.91911i	−0.550774	−	0.400161i	−0.828071	+	0.560623i	$0.810562\pi$
$24$	2.12907	−	1.54686i	0.434596	−	0.315752i
$25$	−3.99194			−0.798387
$26$	−2.40018			−0.470714
$27$	−0.809017	+	0.587785i	−0.155695	+	0.113119i
$28$	0.167152	−	0.514440i	0.0315887	−	0.0972200i
$29$	0.788441	+	2.42657i	0.146410	+	0.450603i	0.997190	−	0.0749194i	$-0.0238699\pi$
$29$	0.788441	+	2.42657i	0.146410	+	0.450603i	−0.850780	+	0.525522i	$0.823870\pi$
$30$	−0.776825			−0.141828
$31$	−0.362712	−	5.55594i	−0.0651449	−	0.997876i
$31$	−0.362712	−	5.55594i	−0.0651449	−	0.997876i
$32$	5.85647			1.03529
$33$	1.20068	+	3.69533i	0.209012	+	0.643274i
$34$	0.0151335	−	0.0465762i	0.00259538	−	0.00798776i
$35$	−0.313529	+	0.227792i	−0.0529960	+	0.0385038i
$36$	−1.40137			−0.233562
$37$	7.08444			1.16467			0.582337	−	0.812947i	$-0.302138\pi$
$37$	7.08444			1.16467			0.582337	+	0.812947i	$0.302138\pi$
$38$	1.04264	−	0.757520i	0.169138	−	0.122886i
$39$	2.50970	+	1.82341i	0.401874	+	0.291978i
$40$	−2.13764	−	1.55309i	−0.337991	−	0.245565i
$41$	0.240052	+	0.738805i	0.0374899	+	0.115382i	0.968050	−	0.250757i	$-0.0806795\pi$
$41$	0.240052	+	0.738805i	0.0374899	+	0.115382i	−0.930560	+	0.366139i	$0.880680\pi$
$42$	0.241609	−	0.175539i	0.0372810	−	0.0270863i
$43$	3.55603	+	10.9443i	0.542290	+	1.66900i	0.727349	+	0.686268i	$0.240752\pi$
$43$	3.55603	+	10.9443i	0.542290	+	1.66900i	−0.185059	+	0.982727i	$0.559248\pi$
$44$	−1.68260	+	5.17852i	−0.253662	+	0.780691i
$45$	0.812272	+	0.590150i	0.121086	+	0.0879744i
$46$	0.780624	−	2.40251i	0.115097	−	0.354231i
$47$	3.63675	−	11.1928i	0.530474	−	1.63263i	−0.222756	−	0.974874i	$-0.571505\pi$
$47$	3.63675	−	11.1928i	0.530474	−	1.63263i	0.753230	−	0.657757i	$-0.228495\pi$
$48$	−0.620173	−	0.450582i	−0.0895142	−	0.0650359i
$49$	−2.11708	+	6.51570i	−0.302440	+	0.930814i
$50$	−0.954433	−	2.93744i	−0.134977	−	0.415417i
$51$	−0.0512078	+	0.0372047i	−0.00717053	+	0.00520969i
$52$	1.34338	+	4.13450i	0.186294	+	0.573353i
$53$	4.10095	+	2.97952i	0.563309	+	0.409268i	0.832669	−	0.553772i	$-0.186812\pi$
$53$	4.10095	+	2.97952i	0.563309	+	0.409268i	−0.269359	+	0.963040i	$0.586812\pi$
$54$	−0.625946	−	0.454777i	−0.0851805	−	0.0618873i
$55$	3.15608	−	2.29303i	0.425566	−	0.309192i
$56$	1.01580			0.135742
$57$	−1.66570			−0.220627
$58$	−1.59707	+	1.16034i	−0.209705	+	0.152360i
$59$	4.21720	−	12.9792i	0.549033	−	1.68975i	−0.162171	−	0.986763i	$-0.551850\pi$
$59$	4.21720	−	12.9792i	0.549033	−	1.68975i	0.711204	−	0.702986i	$-0.248150\pi$
$60$	0.434789	+	1.33814i	0.0561311	+	0.172754i
$61$	−10.0728			−1.28970			−0.644848	−	0.764311i	$-0.723079\pi$
$61$	−10.0728			−1.28970			−0.644848	+	0.764311i	$0.723079\pi$
$62$	4.00158	−	1.59527i	0.508201	−	0.202599i
$63$	−0.385990			−0.0486301
$64$	0.926455	+	2.85134i	0.115807	+	0.356417i
$65$	0.962478	−	2.96220i	0.119381	−	0.367416i
$66$	−2.43211	+	1.76703i	−0.299372	+	0.217507i
$67$	8.74372			1.06822			0.534108	−	0.845416i	$-0.320648\pi$
$67$	8.74372			1.06822			0.534108	+	0.845416i	$0.320648\pi$
$68$	−0.0887016			−0.0107566
$69$	−2.64142	+	1.91911i	−0.317990	+	0.231033i
$70$	−0.242581	−	0.176245i	−0.0289940	−	0.0210653i
$71$	−6.78888	−	4.93241i	−0.805692	−	0.585369i	0.106887	−	0.994271i	$-0.465912\pi$
$71$	−6.78888	−	4.93241i	−0.805692	−	0.585369i	−0.912578	+	0.408902i	$0.865912\pi$
$72$	−0.813234	−	2.50288i	−0.0958406	−	0.294967i
$73$	4.07132	−	2.95798i	0.476512	−	0.346206i	−0.323462	−	0.946241i	$-0.604847\pi$
$73$	4.07132	−	2.95798i	0.476512	−	0.346206i	0.799974	+	0.600035i	$0.204847\pi$
$74$	1.69382	+	5.21304i	0.196903	+	0.606004i
$75$	−1.23358	+	3.79656i	−0.142441	+	0.438389i
$76$	−1.88845	−	1.37204i	−0.216620	−	0.157384i
$77$	−0.463452	+	1.42636i	−0.0528152	+	0.162549i
$78$	−0.741697	+	2.28271i	−0.0839806	+	0.258466i
$79$	−3.77249	−	2.74087i	−0.424438	−	0.308372i	0.354983	−	0.934873i	$-0.384487\pi$
$79$	−3.77249	−	2.74087i	−0.424438	−	0.308372i	−0.779421	+	0.626500i	$0.784487\pi$
$80$	−0.237838	+	0.731990i	−0.0265911	+	0.0818390i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	−0.486251	+	0.353282i	−0.0536974	+	0.0390135i
$83$	−3.29817	−	10.1507i	−0.362021	−	1.11419i	−0.951825	−	0.306641i	$-0.900795\pi$
$83$	−3.29817	−	10.1507i	−0.362021	−	1.11419i	0.589804	−	0.807546i	$-0.299205\pi$
$84$	−0.437609	−	0.317941i	−0.0477470	−	0.0346902i
$85$	0.0514138	+	0.0373543i	0.00557661	+	0.00405165i
$86$	−7.20311	+	5.23337i	−0.776731	+	0.564328i
$87$	2.55145			0.273544
$88$	−10.2254			−1.09003
$89$	−2.09491	+	1.52204i	−0.222060	+	0.161336i	−0.693253	−	0.720694i	$-0.743823\pi$
$89$	−2.09491	+	1.52204i	−0.222060	+	0.161336i	0.471194	+	0.882030i	$0.343823\pi$
$90$	−0.240052	+	0.738805i	−0.0253037	+	0.0778769i
$91$	0.370018	+	1.13880i	0.0387884	+	0.119378i
$92$	−4.57544			−0.477022
$93$	−5.39609	−	1.37192i	−0.559549	−	0.142261i
$94$	9.10563			0.939174
$95$	0.516800	+	1.59055i	0.0530225	+	0.163187i
$96$	1.80975	−	5.56983i	0.184707	−	0.568469i
$97$	−10.7193	+	7.78800i	−1.08838	+	0.790752i	−0.979124	−	0.203262i	$-0.934846\pi$
$97$	−10.7193	+	7.78800i	−1.08838	+	0.790752i	−0.109252	+	0.994014i	$0.534846\pi$
$98$	−5.30071			−0.535453
$99$	3.88550			0.390507
$100$	−4.52579	+	3.28818i	−0.452579	+	0.328818i
$101$	1.18168	+	0.858544i	0.117582	+	0.0854283i	0.645022	−	0.764164i	$-0.276848\pi$
$101$	1.18168	+	0.858544i	0.117582	+	0.0854283i	−0.527440	+	0.849592i	$0.676848\pi$
$102$	−0.0396201	−	0.0287857i	−0.00392297	−	0.00285021i
$103$	0.753384	+	2.31868i	0.0742331	+	0.228466i	0.981288	−	0.192547i	$-0.0616747\pi$
$103$	0.753384	+	2.31868i	0.0742331	+	0.228466i	−0.907055	+	0.421013i	$0.861675\pi$
$104$	−6.60473	+	4.79862i	−0.647647	+	0.470543i
$105$	0.119757	+	0.368575i	0.0116871	+	0.0359692i
$106$	−1.21196	+	3.73003i	−0.117716	+	0.362293i
$107$	11.7712	+	8.55231i	1.13797	+	0.826783i	0.986835	−	0.161730i	$-0.0517074\pi$
$107$	11.7712	+	8.55231i	1.13797	+	0.826783i	0.151134	+	0.988513i	$0.451707\pi$
$108$	−0.433047	+	1.33278i	−0.0416700	+	0.128247i
$109$	4.02695	−	12.3937i	0.385712	−	1.18710i	−0.550250	−	0.835000i	$-0.685468\pi$
$109$	4.02695	−	12.3937i	0.385712	−	1.18710i	0.935962	−	0.352100i	$-0.114532\pi$
$110$	2.44190	+	1.77414i	0.232826	+	0.169158i
$111$	2.18921	−	6.73770i	0.207791	−	0.639514i
$112$	−0.0914351	−	0.281408i	−0.00863980	−	0.0265906i
$113$	−4.26887	+	3.10152i	−0.401582	+	0.291766i	−0.770185	−	0.637821i	$-0.779836\pi$
$113$	−4.26887	+	3.10152i	−0.401582	+	0.291766i	0.368603	+	0.929587i	$0.379836\pi$
$114$	−0.398252	−	1.22569i	−0.0372997	−	0.114797i
$115$	2.65205	+	1.92683i	0.247305	+	0.179678i
$116$	2.89266	+	2.10164i	0.268577	+	0.195132i
$117$	2.50970	−	1.82341i	0.232022	−	0.168574i
$118$	10.5590			0.972031
$119$	−0.0244317			−0.00223965
$120$	−2.13764	+	1.55309i	−0.195139	+	0.141777i
$121$	1.26607	−	3.89656i	0.115097	−	0.354233i
$122$	−2.40832	−	7.41204i	−0.218039	−	0.671055i
$123$	0.776825			0.0700440
$124$	−4.98767	−	6.00018i	−0.447906	−	0.538832i
$125$	9.02812			0.807499
$126$	−0.0922863	−	0.284028i	−0.00822152	−	0.0253032i
$127$	4.27150	−	13.1463i	0.379034	−	1.16655i	−0.561683	−	0.827353i	$-0.689846\pi$
$127$	4.27150	−	13.1463i	0.379034	−	1.16655i	0.940717	−	0.339194i	$-0.110154\pi$
$128$	7.59934	−	5.52124i	0.671693	−	0.488013i
$129$	11.5076			1.01318
$130$	2.40984			0.211357
$131$	−10.4648	+	7.60311i	−0.914312	+	0.664287i	−0.942102	−	0.335327i	$-0.891153\pi$
$131$	−10.4648	+	7.60311i	−0.914312	+	0.664287i	0.0277896	+	0.999614i	$0.491153\pi$
$132$	4.40511	+	3.20050i	0.383416	+	0.278568i
$133$	−0.520151	−	0.377912i	−0.0451028	−	0.0327691i
$134$	2.09054	+	6.43401i	0.180595	+	0.555814i
$135$	0.812272	−	0.590150i	0.0699093	−	0.0507920i
$136$	−0.0514747	−	0.158423i	−0.00441392	−	0.0135847i
$137$	−6.31320	+	19.4300i	−0.539373	+	1.66002i	0.194633	+	0.980876i	$0.437648\pi$
$137$	−6.31320	+	19.4300i	−0.539373	+	1.66002i	−0.734006	+	0.679143i	$0.762352\pi$
$138$	−2.04370	−	1.48484i	−0.173971	−	0.126398i
$139$	−0.188286	+	0.579484i	−0.0159702	+	0.0491512i	−0.958724	−	0.284338i	$-0.908226\pi$
$139$	−0.188286	+	0.579484i	−0.0159702	+	0.0491512i	0.942754	+	0.333489i	$0.108226\pi$
$140$	−0.167824	+	0.516510i	−0.0141837	+	0.0436530i
$141$	−9.52113	−	6.91750i	−0.801824	−	0.582559i
$142$	2.00633	−	6.17485i	0.168367	−	0.518182i
$143$	−3.72472	−	11.4635i	−0.311477	−	0.958626i
$144$	−0.620173	+	0.450582i	−0.0516811	+	0.0375485i
$145$	−0.791613	−	2.43633i	−0.0657399	−	0.202327i
$146$	3.15003	+	2.28863i	0.260698	+	0.189408i
$147$	5.54259	+	4.02692i	0.457145	+	0.332135i
$148$	8.03185	−	5.83548i	0.660214	−	0.479674i
$149$	23.4179			1.91847			0.959235	−	0.282610i	$-0.0912002\pi$
$149$	23.4179			1.91847			0.959235	+	0.282610i	$0.0912002\pi$
$150$	−3.08861			−0.252184
$151$	−12.9167	+	9.38453i	−1.05115	+	0.763702i	−0.972430	−	0.233195i	$-0.925082\pi$
$151$	−12.9167	+	9.38453i	−1.05115	+	0.763702i	−0.0787156	+	0.996897i	$0.525082\pi$
$152$	1.35460	−	4.16903i	0.109873	−	0.338153i
$153$	0.0195596	+	0.0601984i	0.00158130	+	0.00486675i
$154$	−1.16038			−0.0935064
$155$	0.364171	+	5.57829i	0.0292509	+	0.448059i
$156$	4.34728			0.348061
$157$	−0.0162995	−	0.0501647i	−0.00130084	−	0.00400358i	0.950404	−	0.311018i	$-0.100670\pi$
$157$	−0.0162995	−	0.0501647i	−0.00130084	−	0.00400358i	−0.951705	+	0.307015i	$0.900670\pi$
$158$	1.11489	−	3.43128i	0.0886959	−	0.272978i
$159$	4.10095	−	2.97952i	0.325227	−	0.236291i
$160$	−5.88003			−0.464858
$161$	−1.26025			−0.0993214
$162$	−0.625946	+	0.454777i	−0.0491790	+	0.0357306i
$163$	6.19509	+	4.50100i	0.485237	+	0.352545i	0.803350	−	0.595508i	$-0.203049\pi$
$163$	6.19509	+	4.50100i	0.485237	+	0.352545i	−0.318113	+	0.948053i	$0.603049\pi$
$164$	0.880711	+	0.639874i	0.0687720	+	0.0499658i
$165$	−1.20552	−	3.71020i	−0.0938493	−	0.288838i
$166$	6.68079	−	4.85388i	0.518530	−	0.376734i
$167$	2.90790	+	8.94961i	0.225020	+	0.692541i	0.998290	+	0.0584635i	$0.0186201\pi$
$167$	2.90790	+	8.94961i	0.225020	+	0.692541i	−0.773269	+	0.634078i	$0.781380\pi$
$168$	0.313900	−	0.966085i	0.0242179	−	0.0745350i
$169$	2.73172	+	1.98471i	0.210132	+	0.152670i
$170$	−0.0151944	+	0.0467636i	−0.00116536	+	0.00358661i
$171$	−0.514729	+	1.58417i	−0.0393623	+	0.121145i
$172$	13.0465	+	9.47882i	0.994785	+	0.722753i
$173$	−2.28918	+	7.04537i	−0.174043	+	0.535650i	−0.999588	−	0.0286862i	$-0.990868\pi$
$173$	−2.28918	+	7.04537i	−0.174043	+	0.535650i	0.825545	+	0.564336i	$0.190868\pi$
$174$	0.610026	+	1.87747i	0.0462460	+	0.142330i
$175$	−1.24657	+	0.905687i	−0.0942319	+	0.0684635i
$176$	0.920416	+	2.83275i	0.0693789	+	0.213526i
$177$	−11.0408	−	8.02159i	−0.829875	−	0.602940i
$178$	−1.62086	−	1.17762i	−0.121488	−	0.0882664i
$179$	−13.2348	+	9.61561i	−0.989212	+	0.718705i	−0.959748	−	0.280861i	$-0.909380\pi$
$179$	−13.2348	+	9.61561i	−0.989212	+	0.718705i	−0.0294637	+	0.999566i	$0.509380\pi$
$180$	1.40701			0.104872
$181$	−14.0901			−1.04731			−0.523655	−	0.851930i	$-0.675432\pi$
$181$	−14.0901			−1.04731			−0.523655	+	0.851930i	$0.675432\pi$
$182$	−0.749509	+	0.544550i	−0.0555573	+	0.0403648i
$183$	−3.11268	+	9.57985i	−0.230096	+	0.708163i
$184$	−2.65519	−	8.17184i	−0.195743	−	0.602436i
$185$	−7.11294			−0.522954
$186$	−0.280634	−	4.29870i	−0.0205771	−	0.315196i
$187$	0.245938			0.0179847
$188$	−5.09643	−	15.6852i	−0.371695	−	1.14396i
$189$	−0.119277	+	0.367098i	−0.00867615	+	0.0267024i
$190$	−1.04683	+	0.760568i	−0.0759452	+	0.0551774i
$191$	−17.8627			−1.29250			−0.646250	−	0.763126i	$-0.723664\pi$
$191$	−17.8627			−1.29250			−0.646250	+	0.763126i	$0.723664\pi$
$192$	2.99807			0.216367
$193$	−7.85825	+	5.70936i	−0.565649	+	0.410968i	−0.833522	−	0.552486i	$-0.813679\pi$
$193$	−7.85825	+	5.70936i	−0.565649	+	0.410968i	0.267873	+	0.963454i	$0.413679\pi$
$194$	−8.29362	−	6.02567i	−0.595448	−	0.432618i
$195$	−2.51980	−	1.83074i	−0.180447	−	0.131102i
$196$	2.96681	+	9.13090i	0.211915	+	0.652207i
$197$	−3.47314	+	2.52339i	−0.247451	+	0.179784i	−0.704596	−	0.709608i	$-0.748872\pi$
$197$	−3.47314	+	2.52339i	−0.247451	+	0.179784i	0.457145	+	0.889392i	$0.348872\pi$
$198$	0.928984	+	2.85912i	0.0660200	+	0.203189i
$199$	5.96706	−	18.3647i	0.422994	−	1.30184i	−0.481908	−	0.876222i	$-0.660056\pi$
$199$	5.96706	−	18.3647i	0.422994	−	1.30184i	0.904902	−	0.425619i	$-0.139944\pi$
$200$	−8.49913	−	6.17498i	−0.600979	−	0.436637i
$201$	2.70196	−	8.31577i	0.190581	−	0.586549i
$202$	−0.349225	+	1.07480i	−0.0245714	+	0.0756230i
$203$	0.796746	+	0.578870i	0.0559206	+	0.0406287i
$204$	−0.0274103	+	0.0843602i	−0.00191910	+	0.00590639i
$205$	−0.241018	−	0.741777i	−0.0168334	−	0.0518080i
$206$	−1.52606	+	1.10875i	−0.106326	+	0.0772500i
$207$	1.00893	+	3.10518i	0.0701257	+	0.215825i
$208$	1.92388	+	1.39778i	0.133397	+	0.0969184i
$209$	5.23601	+	3.80418i	0.362182	+	0.263141i
$210$	−0.242581	+	0.176245i	−0.0167397	+	0.0121621i
$211$	−3.66635			−0.252402			−0.126201	−	0.992005i	$-0.540278\pi$
$211$	−3.66635			−0.252402			−0.126201	+	0.992005i	$0.540278\pi$
$212$	7.10362			0.487879
$213$	−6.78888	+	4.93241i	−0.465166	+	0.337963i
$214$	−3.47878	+	10.7066i	−0.237804	+	0.731886i
$215$	−3.57034	−	10.9884i	−0.243495	−	0.749401i
$216$	−2.63168			−0.179063
$217$	−1.37379	−	1.65267i	−0.0932590	−	0.112191i
$218$	10.0826			0.682882
$219$	−1.55510	−	4.78612i	−0.105084	−	0.323416i
$220$	1.68937	−	5.19936i	0.113898	−	0.350540i
$221$	0.158855	−	0.115415i	0.0106857	−	0.00776364i
$222$	5.48131			0.367882
$223$	−10.9469			−0.733061			−0.366530	−	0.930406i	$-0.619454\pi$
$223$	−10.9469			−0.733061			−0.366530	+	0.930406i	$0.619454\pi$
$224$	1.82881	−	1.32871i	0.122193	−	0.0887782i
$225$	3.22954	+	2.34640i	0.215303	+	0.156427i
$226$	−3.30288	−	2.39968i	−0.219704	−	0.159624i
$227$	2.45014	+	7.54076i	0.162622	+	0.500498i	0.998853	−	0.0478785i	$-0.0152460\pi$
$227$	2.45014	+	7.54076i	0.162622	+	0.500498i	−0.836231	+	0.548377i	$0.815246\pi$
$228$	−1.88845	+	1.37204i	−0.125066	+	0.0908657i
$229$	4.31058	+	13.2666i	0.284851	+	0.876681i	0.986443	+	0.164103i	$0.0524728\pi$
$229$	4.31058	+	13.2666i	0.284851	+	0.876681i	−0.701592	+	0.712579i	$0.747527\pi$
$230$	−0.783765	+	2.41218i	−0.0516799	+	0.159054i
$231$	1.21333	+	0.881538i	0.0798314	+	0.0580009i
$232$	−2.07492	+	6.38596i	−0.136225	+	0.419259i
$233$	6.63914	−	20.4332i	0.434945	−	1.33862i	−0.458198	−	0.888850i	$-0.651505\pi$
$233$	6.63914	−	20.4332i	0.434945	−	1.33862i	0.893143	−	0.449772i	$-0.148495\pi$
$234$	1.94179	+	1.41079i	0.126939	+	0.0922263i
$235$	−3.65138	+	11.2378i	−0.238190	+	0.733073i
$236$	−5.90985	−	18.1887i	−0.384699	−	1.18398i
$237$	−3.77249	+	2.74087i	−0.245050	+	0.178039i
$238$	−0.00584139	−	0.0179779i	−0.000378641	−	0.00116534i
$239$	3.76433	+	2.73495i	0.243494	+	0.176909i	0.702839	−	0.711349i	$-0.251916\pi$
$239$	3.76433	+	2.73495i	0.243494	+	0.176909i	−0.459344	+	0.888258i	$0.651916\pi$
$240$	0.622668	+	0.452395i	0.0401930	+	0.0292020i
$241$	17.3381	−	12.5969i	1.11685	−	0.811435i	0.133117	−	0.991100i	$-0.457501\pi$
$241$	17.3381	−	12.5969i	1.11685	−	0.811435i	0.983728	+	0.179665i	$0.0575013\pi$
$242$	3.16997			0.203773
$243$	1.00000			0.0641500
$244$	−11.4199	+	8.29705i	−0.731085	+	0.531164i
$245$	2.12560	−	6.54192i	0.135799	−	0.417948i
$246$	0.185731	+	0.571622i	0.0118418	+	0.0364453i
$247$	5.16726			0.328785
$248$	7.82204	−	12.3901i	0.496700	−	0.786770i
$249$	−10.6731			−0.676381
$250$	2.15853	+	6.64329i	0.136518	+	0.420158i
$251$	−8.74558	+	26.9161i	−0.552016	+	1.69893i	0.151680	+	0.988430i	$0.451532\pi$
$251$	−8.74558	+	26.9161i	−0.552016	+	1.69893i	−0.703696	+	0.710501i	$0.748468\pi$
$252$	−0.437609	+	0.317941i	−0.0275668	+	0.0200284i
$253$	12.6861			0.797566
$254$	10.6949			0.671058
$255$	0.0514138	−	0.0373543i	0.00321966	−	0.00233922i
$256$	10.7307	+	7.79630i	0.670668	+	0.487268i
$257$	13.8230	+	10.0430i	0.862252	+	0.626463i	0.928497	−	0.371341i	$-0.121102\pi$
$257$	13.8230	+	10.0430i	0.862252	+	0.626463i	−0.0662446	+	0.997803i	$0.521102\pi$
$258$	2.75134	+	8.46777i	0.171291	+	0.527180i
$259$	2.21227	−	1.60731i	0.137464	−	0.0998734i
$260$	−1.34879	−	4.15114i	−0.0836482	−	0.257443i
$261$	0.788441	−	2.42657i	0.0488033	−	0.150201i
$262$	−8.09673	−	5.88262i	−0.500218	−	0.363429i
$263$	6.73317	−	20.7226i	0.415185	−	1.27781i	−0.496900	−	0.867808i	$-0.665529\pi$
$263$	6.73317	−	20.7226i	0.415185	−	1.27781i	0.912085	−	0.410001i	$-0.134471\pi$
$264$	−3.15982	+	9.72492i	−0.194473	+	0.598528i
$265$	−4.11745	−	2.99151i	−0.252933	−	0.183767i
$266$	0.153721	−	0.473105i	0.00942524	−	0.0290079i
$267$	0.800184	+	2.46271i	0.0489704	+	0.150716i
$268$	9.91303	−	7.20224i	0.605535	−	0.439947i
$269$	−8.58082	−	26.4090i	−0.523182	−	1.61019i	−0.767884	−	0.640589i	$-0.778690\pi$
$269$	−8.58082	−	26.4090i	−0.523182	−	1.61019i	0.244702	−	0.969598i	$-0.421310\pi$
$270$	0.628465	+	0.456606i	0.0382472	+	0.0277882i
$271$	11.8165	+	8.58519i	0.717801	+	0.521513i	0.885681	−	0.464295i	$-0.153692\pi$
$271$	11.8165	+	8.58519i	0.717801	+	0.521513i	−0.167880	+	0.985807i	$0.553692\pi$
$272$	−0.0392547	+	0.0285202i	−0.00238016	+	0.00172929i
$273$	1.19740			0.0724701
$274$	−15.8069			−0.954929
$275$	12.5484	−	9.11694i	0.756696	−	0.549772i
$276$	−1.41389	+	4.35150i	−0.0851061	+	0.261930i
$277$	−2.07536	−	6.38730i	−0.124696	−	0.383776i	0.869149	−	0.494550i	$-0.164667\pi$
$277$	−2.07536	−	6.38730i	−0.124696	−	0.383776i	−0.993846	+	0.110774i	$0.964667\pi$
$278$	−0.471427			−0.0282743
$279$	−2.97226	+	4.70804i	−0.177944	+	0.281863i
$280$	−1.01989			−0.0609500
$281$	2.68687	+	8.26934i	0.160285	+	0.493308i	0.998658	−	0.0517899i	$-0.0164926\pi$
$281$	2.68687	+	8.26934i	0.160285	+	0.493308i	−0.838373	+	0.545098i	$0.816493\pi$
$282$	2.81380	−	8.65997i	0.167559	−	0.515694i
$283$	−16.7763	+	12.1887i	−0.997247	+	0.724542i	−0.961496	−	0.274818i	$-0.911382\pi$
$283$	−16.7763	+	12.1887i	−0.997247	+	0.724542i	−0.0357510	+	0.999361i	$0.511382\pi$
$284$	−11.7596			−0.697805
$285$	1.67240			0.0990644
$286$	7.54481	−	5.48162i	0.446134	−	0.324135i
$287$	0.242581	+	0.176245i	0.0143191	+	0.0104034i
$288$	−4.73798	−	3.44235i	−0.279188	−	0.202842i
$289$	−5.25205	−	16.1642i	−0.308944	−	0.950832i
$290$	1.60350	−	1.16501i	0.0941605	−	0.0684116i
$291$	4.09439	+	12.6012i	0.240018	+	0.738698i
$292$	2.17928	−	6.70712i	0.127532	−	0.392505i
$293$	20.9115	+	15.1931i	1.22167	+	0.887592i	0.996237	−	0.0866678i	$-0.0276219\pi$
$293$	20.9115	+	15.1931i	1.22167	+	0.887592i	0.225428	+	0.974260i	$0.427622\pi$
$294$	−1.63801	+	5.04128i	−0.0955307	+	0.294013i
$295$	−4.23417	+	13.0314i	−0.246523	+	0.758719i
$296$	15.0833	+	10.9587i	0.876699	+	0.636959i
$297$	1.20068	−	3.69533i	0.0696708	−	0.214425i
$298$	5.59899	+	17.2319i	0.324341	+	0.998219i
$299$	8.19412	−	5.95338i	0.473878	−	0.344293i
$300$	1.72870	+	5.32038i	0.0998063	+	0.307172i
$301$	3.59349	+	2.61082i	0.207125	+	0.150485i
$302$	−9.99380	−	7.26092i	−0.575079	−	0.417819i
$303$	1.18168	−	0.858544i	0.0678860	−	0.0493221i
$304$	−1.27688			−0.0732342
$305$	10.1134			0.579090
$306$	−0.0396201	+	0.0287857i	−0.00226493	+	0.00164557i
$307$	1.26453	−	3.89181i	0.0721703	−	0.222117i	−0.908465	−	0.417962i	$-0.862745\pi$
$307$	1.26453	−	3.89181i	0.0721703	−	0.222117i	0.980635	+	0.195844i	$0.0627447\pi$
$308$	0.649467	+	1.99885i	0.0370068	+	0.113895i
$309$	2.43800			0.138693
$310$	−4.01768	+	1.60169i	−0.228189	+	0.0909698i
$311$	−2.51258			−0.142476			−0.0712378	−	0.997459i	$-0.522695\pi$
$311$	−2.51258			−0.142476			−0.0712378	+	0.997459i	$0.522695\pi$
$312$	2.52278	+	7.76433i	0.142825	+	0.439569i
$313$	0.720718	−	2.21814i	0.0407374	−	0.125377i	−0.928620	−	0.371033i	$-0.879004\pi$
$313$	0.720718	−	2.21814i	0.0407374	−	0.125377i	0.969357	+	0.245657i	$0.0790035\pi$
$314$	0.0330163	−	0.0239878i	0.00186322	−	0.00135371i
$315$	0.387543			0.0218356
$316$	−6.53466			−0.367603
$317$	−7.10051	+	5.15883i	−0.398805	+	0.289748i	−0.769054	−	0.639184i	$-0.779272\pi$
$317$	−7.10051	+	5.15883i	−0.398805	+	0.289748i	0.370249	+	0.928932i	$0.379272\pi$
$318$	3.17296	+	2.30529i	0.177931	+	0.129274i
$319$	−8.02031	−	5.82709i	−0.449051	−	0.326255i
$320$	−0.930183	−	2.86281i	−0.0519988	−	0.160036i
$321$	11.7712	−	8.55231i	0.657007	−	0.477344i
$322$	−0.301313	−	0.927345i	−0.0167915	−	0.0516789i
$323$	−0.0325804	+	0.100272i	−0.00181282	+	0.00557930i
$324$	1.13373	+	0.823704i	0.0629851	+	0.0457614i
$325$	3.82675	−	11.7775i	0.212270	−	0.653300i
$326$	−1.83085	+	5.63476i	−0.101401	+	0.312081i
$327$	−10.5427	−	7.65972i	−0.583013	−	0.423583i
$328$	−0.631741	+	1.94430i	−0.0348821	+	0.107356i
$329$	−1.40375	−	4.32029i	−0.0773911	−	0.238185i
$330$	2.44190	−	1.77414i	0.134422	−	0.0976634i
$331$	−1.37606	−	4.23507i	−0.0756349	−	0.232780i	0.906090	−	0.423084i	$-0.139053\pi$
$331$	−1.37606	−	4.23507i	−0.0756349	−	0.232780i	−0.981725	+	0.190304i	$0.939053\pi$
$332$	−12.1004	−	8.79149i	−0.664098	−	0.482495i
$333$	−5.73143	−	4.16413i	−0.314080	−	0.228193i
$334$	−5.89026	+	4.27953i	−0.322301	+	0.234165i
$335$	−8.77890			−0.479643
$336$	−0.295890			−0.0161421
$337$	11.7982	−	8.57187i	0.642687	−	0.466940i	−0.218085	−	0.975930i	$-0.569981\pi$
$337$	11.7982	−	8.57187i	0.642687	−	0.466940i	0.860772	+	0.508990i	$0.169981\pi$
$338$	−0.807310	+	2.48464i	−0.0439119	+	0.135147i
$339$	1.63056	+	5.01836i	0.0885601	+	0.272560i
$340$	0.0890584			0.00482987
$341$	13.8290	+	16.6363i	0.748883	+	0.900909i
$342$	−1.28877			−0.0696887
$343$	1.65211	+	5.08468i	0.0892057	+	0.274547i
$344$	−9.35834	+	28.8020i	−0.504568	+	1.55290i
$345$	2.65205	−	1.92683i	0.142782	−	0.103737i
$346$	−5.73161			−0.308133
$347$	−28.6895			−1.54013			−0.770066	−	0.637964i	$-0.779777\pi$
$347$	−28.6895			−1.54013			−0.770066	+	0.637964i	$0.779777\pi$
$348$	2.89266	−	2.10164i	0.155063	−	0.112660i
$349$	1.28814	+	0.935886i	0.0689523	+	0.0500968i	0.621727	−	0.783234i	$-0.286431\pi$
$349$	1.28814	+	0.935886i	0.0689523	+	0.0500968i	−0.552775	+	0.833330i	$0.686431\pi$
$350$	−0.964487	−	0.700741i	−0.0515540	−	0.0374562i
$351$	−0.958621	−	2.95033i	−0.0511674	−	0.157477i
$352$	−18.4094	+	13.3752i	−0.981226	+	0.712902i
$353$	−9.06091	−	27.8866i	−0.482264	−	1.48426i	−0.835905	−	0.548874i	$-0.815057\pi$
$353$	−9.06091	−	27.8866i	−0.482264	−	1.48426i	0.353641	−	0.935381i	$-0.384943\pi$
$354$	3.26290	−	10.0422i	0.173421	−	0.533735i
$355$	6.81619	+	4.95226i	0.361766	+	0.262838i
$356$	−1.12135	+	3.45117i	−0.0594316	+	0.182912i
$357$	−0.00754982	+	0.0232360i	−0.000399579	+	0.00122978i
$358$	−10.2399	−	7.43972i	−0.541195	−	0.393201i
$359$	0.999927	−	3.07746i	0.0527742	−	0.162422i	−0.921196	−	0.389099i	$-0.872786\pi$
$359$	0.999927	−	3.07746i	0.0527742	−	0.162422i	0.973970	+	0.226677i	$0.0727863\pi$
$360$	0.816506	+	2.51295i	0.0430337	+	0.132444i
$361$	13.1267	−	9.53708i	0.690877	−	0.501952i
$362$	−3.36881	−	10.3681i	−0.177061	−	0.544937i
$363$	−3.31462	−	2.40821i	−0.173972	−	0.126398i
$364$	1.35753	+	0.986305i	0.0711541	+	0.0516964i
$365$	−4.08770	+	2.96989i	−0.213960	+	0.155451i
$366$	−7.79348			−0.407372
$367$	19.1096			0.997515			0.498758	−	0.866742i	$-0.333790\pi$
$367$	19.1096			0.997515			0.498758	+	0.866742i	$0.333790\pi$
$368$	−2.02485	+	1.47114i	−0.105553	+	0.0766884i
$369$	0.240052	−	0.738805i	0.0124966	−	0.0384606i
$370$	−1.70063	−	5.23402i	−0.0884118	−	0.272103i
$371$	1.95660			0.101582
$372$	−7.24778	+	2.88940i	−0.375780	+	0.149808i
$373$	−34.0070			−1.76082			−0.880408	−	0.474216i	$-0.842732\pi$
$373$	−34.0070			−1.76082			−0.880408	+	0.474216i	$0.842732\pi$
$374$	0.0588013	+	0.180972i	0.00304054	+	0.00935783i
$375$	2.78984	−	8.58625i	0.144067	−	0.443392i
$376$	25.0566	−	18.2047i	1.29219	−	0.938834i
$377$	−7.91500			−0.407643
$378$	−0.298645			−0.0153606
$379$	−3.83513	+	2.78638i	−0.196997	+	0.143127i	−0.681911	−	0.731435i	$-0.738851\pi$
$379$	−3.83513	+	2.78638i	−0.196997	+	0.143127i	0.484914	+	0.874562i	$0.338851\pi$
$380$	1.89605	+	1.37756i	0.0972654	+	0.0706674i
$381$	−11.1829	−	8.12487i	−0.572918	−	0.416250i
$382$	−4.27080	−	13.1442i	−0.218513	−	0.672514i
$383$	−5.76642	+	4.18955i	−0.294650	+	0.214076i	−0.725282	−	0.688452i	$-0.758291\pi$
$383$	−5.76642	+	4.18955i	−0.294650	+	0.214076i	0.430632	+	0.902528i	$0.358291\pi$
$384$	−2.90269	−	8.93356i	−0.148127	−	0.455889i
$385$	0.465317	−	1.43210i	0.0237147	−	0.0729864i
$386$	−6.08003	−	4.41740i	−0.309465	−	0.224840i
$387$	3.55603	−	10.9443i	0.180763	−	0.556332i
$388$	−5.73776	+	17.6590i	−0.291291	+	0.896500i
$389$	6.12763	+	4.45199i	0.310683	+	0.225725i	0.732190	−	0.681101i	$-0.238498\pi$
$389$	6.12763	+	4.45199i	0.310683	+	0.225725i	−0.421506	+	0.906825i	$0.638498\pi$
$390$	0.744681	−	2.29189i	0.0377084	−	0.116054i
$391$	0.0638618	+	0.196546i	0.00322963	+	0.00993978i
$392$	−14.5863	+	10.5976i	−0.736720	+	0.535259i
$393$	3.99719	+	12.3021i	0.201632	+	0.620558i
$394$	−2.68721	−	1.95237i	−0.135380	−	0.0983592i
$395$	3.78767	+	2.75190i	0.190578	+	0.138463i
$396$	4.40511	−	3.20050i	0.221365	−	0.160831i
$397$	−24.8979			−1.24959			−0.624796	−	0.780788i	$-0.714818\pi$
$397$	−24.8979			−1.24959			−0.624796	+	0.780788i	$0.714818\pi$
$398$	14.9402			0.748887
$399$	−0.520151	+	0.377912i	−0.0260401	+	0.0189192i
$400$	−0.945629	+	2.91035i	−0.0472815	+	0.145517i
$401$	8.10841	+	24.9551i	0.404915	+	1.24620i	0.920966	+	0.389642i	$0.127401\pi$
$401$	8.10841	+	24.9551i	0.404915	+	1.24620i	−0.516052	+	0.856557i	$0.672599\pi$
$402$	6.76512			0.337414
$403$	16.7396	+	4.25592i	0.833857	+	0.212002i
$404$	2.04690			0.101837
$405$	−0.310260	−	0.954883i	−0.0154170	−	0.0474485i
$406$	−0.235464	+	0.724683i	−0.0116859	+	0.0359654i
$407$	−22.2695	+	16.1797i	−1.10386	+	0.801998i
$408$	−0.166576			−0.00824673
$409$	13.6882			0.676838			0.338419	−	0.940995i	$-0.390108\pi$
$409$	13.6882			0.676838			0.338419	+	0.940995i	$0.390108\pi$
$410$	0.488207	−	0.354703i	0.0241108	−	0.0175176i
$411$	16.5282	+	12.0084i	0.815274	+	0.592332i
$412$	2.76404	+	2.00819i	0.136174	+	0.0989366i
$413$	−1.62780	−	5.00984i	−0.0800986	−	0.246518i
$414$	−2.04370	+	1.48484i	−0.100442	+	0.0729757i
$415$	3.31144	+	10.1916i	0.162552	+	0.500285i
$416$	−5.61413	+	17.2785i	−0.275256	+	0.847150i
$417$	0.492939	+	0.358141i	0.0241393	+	0.0175382i
$418$	−1.54741	+	4.76243i	−0.0756861	+	0.232938i
$419$	−0.232396	+	0.715241i	−0.0113533	+	0.0349418i	−0.956573	−	0.291494i	$-0.905848\pi$
$419$	−0.232396	+	0.715241i	−0.0113533	+	0.0349418i	0.945219	+	0.326436i	$0.105848\pi$
$420$	0.439369	+	0.319221i	0.0214390	+	0.0155764i
$421$	6.15012	−	18.9281i	0.299738	−	0.922500i	−0.681850	−	0.731492i	$-0.738824\pi$
$421$	6.15012	−	18.9281i	0.299738	−	0.922500i	0.981588	−	0.191008i	$-0.0611756\pi$
$422$	−0.876587	−	2.69786i	−0.0426716	−	0.131330i
$423$	−9.52113	+	6.91750i	−0.462933	+	0.336341i
$424$	4.12233	+	12.6872i	0.200198	+	0.616146i
$425$	0.204418	+	0.148519i	0.00991575	+	0.00720421i
$426$	−5.25264	−	3.81626i	−0.254491	−	0.184899i
$427$	−3.14547	+	2.28532i	−0.152220	+	0.110594i
$428$	20.3900			0.985589
$429$	−12.0534			−0.581946
$430$	7.23209	−	5.25442i	0.348763	−	0.253391i
$431$	0.705307	−	2.17071i	0.0339734	−	0.104559i	−0.932632	−	0.360830i	$-0.882494\pi$
$431$	0.705307	−	2.17071i	0.0339734	−	0.104559i	0.966605	+	0.256270i	$0.0824936\pi$
$432$	0.236885	+	0.729057i	0.0113971	+	0.0350768i
$433$	8.88815			0.427137			0.213569	−	0.976928i	$-0.431491\pi$
$433$	8.88815			0.427137			0.213569	+	0.976928i	$0.431491\pi$
$434$	0.887650	−	1.40603i	0.0426085	−	0.0674917i
$435$	−2.56171			−0.122825
$436$	−5.64325	−	17.3681i	−0.270263	−	0.831783i
$437$	−1.68058	+	5.17228i	−0.0803929	+	0.247424i
$438$	3.15003	−	2.28863i	0.150514	−	0.109355i
$439$	33.7921			1.61281			0.806404	−	0.591366i	$-0.201411\pi$
$439$	33.7921			1.61281			0.806404	+	0.591366i	$0.201411\pi$
$440$	10.2665			0.489438
$441$	5.54259	−	4.02692i	0.263933	−	0.191758i
$442$	0.122908	+	0.0892979i	0.00584614	+	0.00424747i
$443$	22.4978	+	16.3456i	1.06890	+	0.776603i	0.975715	−	0.219045i	$-0.0702942\pi$
$443$	22.4978	+	16.3456i	1.06890	+	0.776603i	0.0931880	+	0.995649i	$0.470294\pi$
$444$	−3.06789	−	9.44201i	−0.145596	−	0.448098i
$445$	2.10334	−	1.52816i	0.0997077	−	0.0724419i
$446$	−2.61730	−	8.05523i	−0.123933	−	0.381426i
$447$	7.23653	−	22.2718i	0.342276	−	1.05342i
$448$	0.936214	+	0.680199i	0.0442320	+	0.0321364i
$449$	−5.15991	+	15.8806i	−0.243511	+	0.749450i	0.752367	+	0.658745i	$0.228912\pi$
$449$	−5.15991	+	15.8806i	−0.243511	+	0.749450i	−0.995878	+	0.0907057i	$0.971088\pi$
$450$	−0.954433	+	2.93744i	−0.0449924	+	0.138472i
$451$	−2.44190	−	1.77414i	−0.114985	−	0.0835411i
$452$	−2.28502	+	7.03258i	−0.107478	+	0.330785i
$453$	4.93374	+	15.1845i	0.231807	+	0.713429i
$454$	−4.96302	+	3.60585i	−0.232926	+	0.169231i
$455$	−0.371506	−	1.14338i	−0.0174165	−	0.0536024i
$456$	−3.54639	−	2.57661i	−0.166075	−	0.120661i
$457$	−11.3704	−	8.26108i	−0.531885	−	0.386437i	0.289177	−	0.957276i	$-0.406618\pi$
$457$	−11.3704	−	8.26108i	−0.531885	−	0.386437i	−0.821062	+	0.570838i	$0.806618\pi$
$458$	−8.73153	+	6.34382i	−0.407997	+	0.296427i
$459$	0.0632963			0.00295442
$460$	4.59385			0.214189
$461$	32.5968	−	23.6830i	1.51818	−	1.10303i	0.555807	−	0.831312i	$-0.312409\pi$
$461$	32.5968	−	23.6830i	1.51818	−	1.10303i	0.962378	−	0.271714i	$-0.0875906\pi$
$462$	−0.358578	+	1.10359i	−0.0166826	+	0.0513437i
$463$	1.17042	+	3.60218i	0.0543940	+	0.167407i	0.974563	−	0.224114i	$-0.0719488\pi$
$463$	1.17042	+	3.60218i	0.0543940	+	0.167407i	−0.920169	+	0.391522i	$0.871949\pi$
$464$	1.95588			0.0907993
$465$	5.41781	+	1.37744i	0.251245	+	0.0638772i
$466$	16.6230			0.770045
$467$	2.07408	+	6.38336i	0.0959770	+	0.295387i	0.987507	−	0.157575i	$-0.0503675\pi$
$467$	2.07408	+	6.38336i	0.0959770	+	0.295387i	−0.891530	+	0.452961i	$0.850368\pi$
$468$	1.34338	−	4.13450i	0.0620979	−	0.191118i
$469$	2.73042	−	1.98377i	0.126079	−	0.0916018i
$470$	−9.14227			−0.421702
$471$	−0.0527463			−0.00243042
$472$	29.0558	−	21.1103i	1.33740	−	0.971679i
$473$	−36.1732	−	26.2814i	−1.66325	−	1.20842i
$474$	−2.91882	−	2.12065i	−0.134066	−	0.0974046i
$475$	2.05476	+	6.32391i	0.0942790	+	0.290161i
$476$	−0.0276990	+	0.0201245i	−0.00126958	+	0.000922406i
$477$	−1.56642	−	4.82096i	−0.0717217	−	0.220737i
$478$	−1.11248	+	3.42386i	−0.0508836	+	0.156604i
$479$	0.295812	+	0.214920i	0.0135160	+	0.00981993i	0.594523	−	0.804079i	$-0.297341\pi$
$479$	0.295812	+	0.214920i	0.0135160	+	0.00981993i	−0.581007	+	0.813899i	$0.697341\pi$
$480$	−1.81703	+	5.59225i	−0.0829357	+	0.255250i
$481$	−6.79129	+	20.9014i	−0.309656	+	0.953023i
$482$	13.4147	+	9.74635i	0.611023	+	0.443934i
$483$	−0.389438	+	1.19857i	−0.0177200	+	0.0545366i
$484$	−1.77423	−	5.46053i	−0.0806469	−	0.248206i
$485$	10.7624	−	7.81934i	0.488695	−	0.355058i
$486$	0.239090	+	0.735844i	0.0108454	+	0.0333786i
$487$	−21.2634	−	15.4488i	−0.963538	−	0.700051i	−0.00956818	−	0.999954i	$-0.503046\pi$
$487$	−21.2634	−	15.4488i	−0.963538	−	0.700051i	−0.953970	+	0.299903i	$0.903046\pi$
$488$	−21.4458	−	15.5813i	−0.970808	−	0.705333i
$489$	6.19509	−	4.50100i	0.280152	−	0.203542i
$490$	5.32204			0.240425
$491$	29.3765			1.32574			0.662871	−	0.748734i	$-0.269338\pi$
$491$	29.3765			1.32574			0.662871	+	0.748734i	$0.269338\pi$
$492$	0.880711	−	0.639874i	0.0397055	−	0.0288478i
$493$	0.0499054	−	0.153593i	0.00224763	−	0.00691748i
$494$	1.23544	+	3.80230i	0.0555851	+	0.171073i
$495$	−3.90113			−0.175343
$496$	−4.13651	−	1.05168i	−0.185735	−	0.0472218i
$497$	−3.23904			−0.145291
$498$	−2.55184	−	7.85374i	−0.114350	−	0.351935i
$499$	−4.85976	+	14.9568i	−0.217553	+	0.669559i	0.781410	+	0.624018i	$0.214501\pi$
$499$	−4.85976	+	14.9568i	−0.217553	+	0.669559i	−0.998962	+	0.0455405i	$0.985499\pi$
$500$	10.2355	−	7.43650i	0.457744	−	0.332570i
$501$	9.41017			0.420416
$502$	−21.8970			−0.977313
$503$	0.974144	−	0.707757i	0.0434349	−	0.0315573i	−0.565856	−	0.824504i	$-0.691454\pi$
$503$	0.974144	−	0.707757i	0.0434349	−	0.0315573i	0.609291	+	0.792947i	$0.291454\pi$
$504$	−0.821801	−	0.597073i	−0.0366059	−	0.0265957i
$505$	−1.18644	−	0.861998i	−0.0527958	−	0.0383584i
$506$	3.03311	+	9.33496i	0.134838	+	0.414990i
$507$	2.73172	−	1.98471i	0.121320	−	0.0881441i
$508$	−5.98594	−	18.4228i	−0.265583	−	0.817381i
$509$	3.43831	−	10.5820i	0.152400	−	0.469040i	−0.845488	−	0.533995i	$-0.820690\pi$
$509$	3.43831	−	10.5820i	0.152400	−	0.469040i	0.997888	+	0.0649546i	$0.0206903\pi$
$510$	0.0397795	+	0.0289015i	0.00176147	+	0.00127978i
$511$	0.600254	−	1.84739i	0.0265537	−	0.0817238i
$512$	2.63412	−	8.10699i	0.116413	−	0.358282i
$513$	1.34758	+	0.979072i	0.0594970	+	0.0432271i
$514$	−4.08512	+	12.5727i	−0.180187	+	0.554558i
$515$	−0.756415	−	2.32801i	−0.0333316	−	0.102584i
$516$	13.0465	−	9.47882i	0.574339	−	0.417282i
$517$	14.1306	+	43.4894i	0.621462	+	1.91266i
$518$	1.71166	+	1.24360i	0.0752061	+	0.0546404i
$519$	5.99315	+	4.35428i	0.263070	+	0.191132i
$520$	6.63131	−	4.81793i	0.290802	−	0.211280i
$521$	−36.0125			−1.57774			−0.788868	−	0.614563i	$-0.789332\pi$
$521$	−36.0125			−1.57774			−0.788868	+	0.614563i	$0.789332\pi$
$522$	1.97409			0.0864034
$523$	−4.54454	+	3.30180i	−0.198719	+	0.144378i	−0.682695	−	0.730704i	$-0.739192\pi$
$523$	−4.54454	+	3.30180i	−0.198719	+	0.144378i	0.483976	+	0.875081i	$0.339192\pi$
$524$	−5.60154	+	17.2398i	−0.244704	+	0.753123i
$525$	0.476148	+	1.46543i	0.0207808	+	0.0639567i
$526$	16.8584			0.735062
$527$	−0.188133	+	0.298002i	−0.00819520	+	0.0129812i
$528$	2.97853			0.129624
$529$	−3.81325	−	11.7360i	−0.165793	−	0.510259i
$530$	1.21684	−	3.74504i	0.0528561	−	0.162674i
$531$	−11.0408	+	8.02159i	−0.479129	+	0.348107i
$532$	−0.900999			−0.0390632
$533$	−2.40984			−0.104382
$534$	−1.62086	+	1.17762i	−0.0701413	+	0.0509606i
$535$	−11.8186	−	8.58672i	−0.510963	−	0.371236i
$536$	18.6160	+	13.5253i	0.804090	+	0.584206i
$537$	5.05523	+	15.5584i	0.218149	+	0.671394i
$538$	17.3813	−	12.6283i	0.749363	−	0.544444i
$539$	−8.22591	−	25.3167i	−0.354315	−	1.09047i
$540$	0.434789	−	1.33814i	0.0187104	−	0.0575846i
$541$	−30.4751	−	22.1414i	−1.31023	−	0.951935i	−0.999999	−	0.00127272i	$-0.999595\pi$
$541$	−30.4751	−	22.1414i	−1.31023	−	0.951935i	−0.310227	−	0.950662i	$-0.600405\pi$
$542$	−3.49215	+	10.7477i	−0.150001	+	0.461655i
$543$	−4.35409	+	13.4005i	−0.186852	+	0.575070i
$544$	−0.299897	−	0.217888i	−0.0128580	−	0.00934187i
$545$	−4.04316	+	12.4436i	−0.173190	+	0.533023i
$546$	0.286287	+	0.881101i	0.0122520	+	0.0377077i
$547$	−16.0511	+	11.6618i	−0.686294	+	0.498622i	−0.875440	−	0.483327i	$-0.839428\pi$
$547$	−16.0511	+	11.6618i	−0.686294	+	0.498622i	0.189146	+	0.981949i	$0.439428\pi$
$548$	8.84712	+	27.2286i	0.377930	+	1.16315i
$549$	8.14910	+	5.92067i	0.347795	+	0.252688i
$550$	9.70884	+	7.05389i	0.413986	+	0.300779i
$551$	3.43827	−	2.49805i	0.146475	−	0.106421i
$552$	−8.59238			−0.365716
$553$	−1.79989			−0.0765391
$554$	4.20386	−	3.05428i	0.178605	−	0.129764i
$555$	−2.19802	+	6.76481i	−0.0933007	+	0.287150i
$556$	0.263858	+	0.812071i	0.0111901	+	0.0344395i
$557$	−9.13882			−0.387224			−0.193612	−	0.981078i	$-0.562020\pi$
$557$	−9.13882			−0.387224			−0.193612	+	0.981078i	$0.562020\pi$
$558$	−4.17502	−	1.06147i	−0.176743	−	0.0449357i
$559$	−35.6983			−1.50988
$560$	0.0918030	+	0.282541i	0.00387938	+	0.0119395i
$561$	0.0759989	−	0.233901i	0.00320868	−	0.00987530i
$562$	−5.44254	+	3.95424i	−0.229580	+	0.166799i
$563$	−29.4571			−1.24147			−0.620734	−	0.784021i	$-0.713165\pi$
$563$	−29.4571			−1.24147			−0.620734	+	0.784021i	$0.713165\pi$
$564$	−16.4924			−0.694455
$565$	4.28605	−	3.11400i	0.180315	−	0.131007i
$566$	−12.9800	−	9.43054i	−0.545591	−	0.396395i
$567$	0.312272	+	0.226879i	0.0131142	+	0.00952802i
$568$	−6.82427	−	21.0029i	−0.286340	−	0.881264i
$569$	−0.383508	+	0.278635i	−0.0160775	+	0.0116810i	−0.595795	−	0.803137i	$-0.703163\pi$
$569$	−0.383508	+	0.278635i	−0.0160775	+	0.0116810i	0.579717	+	0.814818i	$0.303163\pi$
$570$	0.399854	+	1.23062i	0.0167480	+	0.0515452i
$571$	2.96814	−	9.13500i	0.124213	−	0.382288i	−0.869544	−	0.493855i	$-0.835587\pi$
$571$	2.96814	−	9.13500i	0.124213	−	0.382288i	0.993757	+	0.111568i	$0.0355872\pi$
$572$	−13.6654	−	9.92847i	−0.571378	−	0.415130i
$573$	−5.51988	+	16.9884i	−0.230596	+	0.709702i
$574$	−0.0716903	+	0.220640i	−0.00299230	+	0.00920934i
$575$	10.5444	+	7.66095i	0.439731	+	0.319484i
$576$	0.926455	−	2.85134i	0.0386023	−	0.118806i
$577$	8.94708	+	27.5363i	0.372472	+	1.14635i	0.945169	+	0.326583i	$0.105897\pi$
$577$	8.94708	+	27.5363i	0.372472	+	1.14635i	−0.572697	+	0.819767i	$0.694103\pi$
$578$	10.6386	−	7.72938i	0.442507	−	0.321500i
$579$	3.00159	+	9.23793i	0.124742	+	0.383915i
$580$	−2.90430	−	2.11009i	−0.120594	−	0.0876169i
$581$	−3.33291	−	2.42150i	−0.138273	−	0.100461i
$582$	−8.29362	+	6.02567i	−0.343782	+	0.249772i
$583$	−19.6958			−0.815717
$584$	13.2437			0.548030
$585$	−2.51980	+	1.83074i	−0.104181	+	0.0756919i
$586$	−6.18003	+	19.0202i	−0.255295	+	0.785716i
$587$	−8.24402	−	25.3725i	−0.340267	−	1.04724i	−0.964069	−	0.265652i	$-0.914413\pi$
$587$	−8.24402	−	25.3725i	−0.340267	−	1.04724i	0.623802	−	0.781583i	$-0.285587\pi$
$588$	9.60080			0.395930
$589$	−8.61486	+	3.43440i	−0.354969	+	0.141512i
$590$	−10.6014			−0.436455
$591$	1.32662	+	4.08292i	0.0545700	+	0.167949i
$592$	1.67820	−	5.16496i	0.0689734	−	0.212278i
$593$	9.63528	−	7.00044i	0.395673	−	0.287474i	−0.372103	−	0.928191i	$-0.621363\pi$
$593$	9.63528	−	7.00044i	0.395673	−	0.287474i	0.767776	+	0.640718i	$0.221363\pi$
$594$	3.00626			0.123348
$595$	0.0245300			0.00100563
$596$	26.5496	−	19.2894i	1.08752	−	0.790126i
$597$	−15.6220	−	11.3500i	−0.639365	−	0.464526i
$598$	6.33989	+	4.60620i	0.259257	+	0.188361i
$599$	−10.8020	−	33.2453i	−0.441360	−	1.35837i	−0.886427	−	0.462869i	$-0.846820\pi$
$599$	−10.8020	−	33.2453i	−0.441360	−	1.35837i	0.445067	−	0.895497i	$-0.353180\pi$
$600$	−8.49913	+	6.17498i	−0.346976	+	0.252093i
$601$	−0.622753	−	1.91664i	−0.0254026	−	0.0781813i	0.937551	−	0.347847i	$-0.113087\pi$
$601$	−0.622753	−	1.91664i	−0.0254026	−	0.0781813i	−0.962954	+	0.269665i	$0.913087\pi$
$602$	−1.06199	+	3.26847i	−0.0432835	+	0.133213i
$603$	−7.07382	−	5.13943i	−0.288068	−	0.209294i
$604$	−6.91399	+	21.2791i	−0.281326	+	0.865833i
$605$	−1.27116	+	3.91224i	−0.0516802	+	0.159055i
$606$	0.914284	+	0.664266i	0.0371402	+	0.0269840i
$607$	8.08982	−	24.8979i	0.328355	−	1.01057i	−0.641548	−	0.767083i	$-0.721707\pi$
$607$	8.08982	−	24.8979i	0.328355	−	1.01057i	0.969903	−	0.243491i	$-0.0782926\pi$
$608$	−3.01449	−	9.27766i	−0.122254	−	0.376259i
$609$	0.796746	−	0.578870i	0.0322858	−	0.0234570i
$610$	2.41801	+	7.44187i	0.0979023	+	0.301312i
$611$	29.5361	+	21.4592i	1.19490	+	0.868147i
$612$	0.0717611	+	0.0521375i	0.00290077	+	0.00210753i
$613$	−30.7839	+	22.3658i	−1.24335	+	0.903346i	−0.997817	−	0.0660420i	$-0.978963\pi$
$613$	−30.7839	+	22.3658i	−1.24335	+	0.903346i	−0.245533	+	0.969388i	$0.578963\pi$
$614$	3.16610			0.127773
$615$	−0.779951			−0.0314507
$616$	−3.19310	+	2.31993i	−0.128654	+	0.0934725i
$617$	10.3767	−	31.9362i	0.417750	−	1.28570i	−0.492017	−	0.870586i	$-0.663740\pi$
$617$	10.3767	−	31.9362i	0.417750	−	1.28570i	0.909767	−	0.415118i	$-0.136260\pi$
$618$	0.582902	+	1.79399i	0.0234478	+	0.0721648i
$619$	22.4926			0.904054			0.452027	−	0.892004i	$-0.350701\pi$
$619$	22.4926			0.904054			0.452027	+	0.892004i	$0.350701\pi$
$620$	5.00774	+	6.02432i	0.201115	+	0.241942i
$621$	3.26498			0.131019
$622$	−0.600734	−	1.84887i	−0.0240872	−	0.0741329i
$623$	−0.308863	+	0.950581i	−0.0123743	+	0.0380842i
$624$	1.92388	−	1.39778i	0.0770167	−	0.0559559i
$625$	10.8952			0.435810
$626$	1.80452			0.0721233
$627$	5.23601	−	3.80418i	0.209106	−	0.151924i
$628$	−0.0598002	−	0.0434474i	−0.00238629	−	0.00173374i
$629$	−0.362778	−	0.263574i	−0.0144649	−	0.0105094i
$630$	0.0926576	+	0.285171i	0.00369157	+	0.0113615i
$631$	11.8394	−	8.60180i	0.471317	−	0.342432i	−0.326637	−	0.945150i	$-0.605915\pi$
$631$	11.8394	−	8.60180i	0.471317	−	0.342432i	0.797954	+	0.602718i	$0.205915\pi$
$632$	−3.79215	−	11.6711i	−0.150844	−	0.464249i
$633$	−1.13296	+	3.48690i	−0.0450312	+	0.138592i
$634$	−5.49375	−	3.99145i	−0.218185	−	0.158521i
$635$	−4.28868	+	13.1992i	−0.170191	+	0.523795i
$636$	2.19514	−	6.75595i	0.0870430	−	0.267891i
$637$	−17.1940	−	12.4922i	−0.681251	−	0.494958i
$638$	2.37026	−	7.29490i	0.0938393	−	0.288808i
$639$	2.59312	+	7.98081i	0.102582	+	0.315716i
$640$	−7.62991	+	5.54346i	−0.301599	+	0.219124i
$641$	−9.53069	−	29.3324i	−0.376439	−	1.15856i	−0.942502	−	0.334200i	$-0.891534\pi$
$641$	−9.53069	−	29.3324i	−0.376439	−	1.15856i	0.566063	−	0.824362i	$-0.308466\pi$
$642$	9.10756	+	6.61703i	0.359447	+	0.261153i
$643$	−4.08092	−	2.96496i	−0.160936	−	0.116927i	0.504403	−	0.863469i	$-0.331713\pi$
$643$	−4.08092	−	2.96496i	−0.160936	−	0.116927i	−0.665338	+	0.746542i	$0.731713\pi$
$644$	−1.42878	+	1.03807i	−0.0563019	+	0.0409057i
$645$	−11.5539			−0.454933
$646$	−0.0815744			−0.00320950
$647$	11.1784	−	8.12156i	0.439467	−	0.319291i	−0.345956	−	0.938251i	$-0.612445\pi$
$647$	11.1784	−	8.12156i	0.439467	−	0.319291i	0.785423	+	0.618959i	$0.212445\pi$
$648$	−0.813234	+	2.50288i	−0.0319469	+	0.0983223i
$649$	16.3859	+	50.4307i	0.643204	+	1.97958i
$650$	9.58137			0.375812
$651$	−1.99631	+	0.795848i	−0.0782415	+	0.0311917i
$652$	10.7311			0.420261
$653$	0.674506	+	2.07591i	0.0263954	+	0.0812368i	0.963386	−	0.268117i	$-0.0864013\pi$
$653$	0.674506	+	2.07591i	0.0263954	+	0.0812368i	−0.936991	+	0.349353i	$0.886401\pi$
$654$	3.11570	−	9.58915i	0.121834	−	0.374965i
$655$	10.5069	−	7.63370i	0.410538	−	0.298273i
$656$	0.595495			0.0232502
$657$	−5.03242			−0.196334
$658$	2.84344	−	2.06588i	0.110849	−	0.0805363i
$659$	−25.2745	−	18.3630i	−0.984555	−	0.715321i	−0.0258331	−	0.999666i	$-0.508224\pi$
$659$	−25.2745	−	18.3630i	−0.984555	−	0.715321i	−0.958722	+	0.284345i	$0.908224\pi$
$660$	−4.42284	−	3.21338i	−0.172159	−	0.125081i
$661$	14.6408	+	45.0598i	0.569462	+	1.75262i	0.654306	+	0.756230i	$0.272961\pi$
$661$	14.6408	+	45.0598i	0.569462	+	1.75262i	−0.0848438	+	0.996394i	$0.527039\pi$
$662$	2.78735	−	2.02513i	0.108333	−	0.0787087i
$663$	−0.0606772	−	0.186745i	−0.00235651	−	0.00725258i
$664$	8.67974	−	26.7135i	0.336839	−	1.03668i
$665$	0.522244	+	0.379432i	0.0202517	+	0.0147137i
$666$	1.69382	−	5.21304i	0.0656342	−	0.202001i
$667$	2.57424	−	7.92270i	0.0996750	−	0.306768i
$668$	10.6686	+	7.75120i	0.412781	+	0.299903i
$669$	−3.38279	+	10.4111i	−0.130786	+	0.402518i
$670$	−2.09895	−	6.45990i	−0.0810895	−	0.249568i
$671$	31.6633	−	23.0047i	1.22235	−	0.888089i
$672$	−0.698544	−	2.14990i	−0.0269469	−	0.0829341i
$673$	32.2003	+	23.3949i	1.24123	+	0.901806i	0.997680	−	0.0680830i	$-0.0216883\pi$
$673$	32.2003	+	23.3949i	1.24123	+	0.901806i	0.243549	+	0.969889i	$0.421688\pi$
$674$	9.12838	+	6.63216i	0.351612	+	0.255461i
$675$	3.22954	−	2.34640i	0.124305	−	0.0903130i
$676$	4.73185			0.181994
$677$	9.71461			0.373363			0.186681	−	0.982420i	$-0.440227\pi$
$677$	9.71461			0.373363			0.186681	+	0.982420i	$0.440227\pi$
$678$	−3.30288	+	2.39968i	−0.126846	+	0.0921592i
$679$	−1.58039	+	4.86395i	−0.0606499	+	0.186661i
$680$	0.0516819	+	0.159060i	0.00198191	+	0.00609969i
$681$	7.92883			0.303833
$682$	−8.93537	+	14.1536i	−0.342153	+	0.541969i
$683$	7.59035			0.290437			0.145218	−	0.989400i	$-0.453612\pi$
$683$	7.59035			0.290437			0.145218	+	0.989400i	$0.453612\pi$
$684$	0.721325	+	2.22001i	0.0275805	+	0.0848842i
$685$	6.33860	−	19.5082i	0.242185	−	0.745370i
$686$	−3.34653	+	2.43139i	−0.127771	+	0.0928310i
$687$	13.9493			0.532200
$688$	8.82141			0.336313
$689$	−12.7218	+	9.24294i	−0.484663	+	0.352128i
$690$	2.05192	+	1.49081i	0.0781154	+	0.0567541i
$691$	−0.869341	−	0.631613i	−0.0330713	−	0.0240277i	0.571127	−	0.820862i	$-0.306506\pi$
$691$	−0.869341	−	0.631613i	−0.0330713	−	0.0240277i	−0.604198	+	0.796834i	$0.706506\pi$
$692$	3.20799	+	9.87317i	0.121949	+	0.375321i
$693$	1.21333	−	0.881538i	0.0460907	−	0.0334868i
$694$	−6.85937	−	21.1110i	−0.260378	−	0.801362i
$695$	0.189043	−	0.581816i	0.00717082	−	0.0220695i
$696$	5.43222	+	3.94674i	0.205908	+	0.149601i
$697$	0.0151944	−	0.0467636i	0.000575530	−	0.00177130i
$698$	−0.380685	+	1.17163i	−0.0144091	+	0.0443468i
$699$	−17.3815	−	12.6284i	−0.657429	−	0.477650i
$700$	−0.667259	+	2.05361i	−0.0252200	+	0.0776192i
$701$	11.4623	+	35.2772i	0.432924	+	1.33240i	0.895200	+	0.445666i	$0.147033\pi$
$701$	11.4623	+	35.2772i	0.432924	+	1.33240i	−0.462276	+	0.886736i	$0.652967\pi$
$702$	1.94179	−	1.41079i	0.0732880	−	0.0532469i
$703$	−3.64656	−	11.2230i	−0.137533	−	0.423282i
$704$	−9.42424	−	6.84711i	−0.355189	−	0.258060i
$705$	9.55944	+	6.94534i	0.360029	+	0.261577i
$706$	18.3538	−	13.3348i	0.690755	−	0.501863i
$707$	0.563793			0.0212036
$708$	−19.1247			−0.718750
$709$	30.9159	−	22.4617i	1.16107	−	0.843566i	0.171157	−	0.985244i	$-0.445250\pi$
$709$	30.9159	−	22.4617i	1.16107	−	0.843566i	0.989913	+	0.141677i	$0.0452496\pi$
$710$	−2.01440	+	6.19969i	−0.0755992	+	0.232670i
$711$	1.44096	+	4.43483i	0.0540403	+	0.166319i
$712$	−6.81460			−0.255388
$713$	−9.70435	+	15.3717i	−0.363431	+	0.575673i
$714$	−0.0189031			−0.000707432
$715$	3.73971	+	11.5096i	0.139857	+	0.430436i
$716$	−7.08424	+	21.8031i	−0.264751	+	0.814818i
$717$	3.76433	−	2.73495i	0.140582	−	0.102138i
$718$	2.50360			0.0934336
$719$	−10.0813			−0.375969			−0.187984	−	0.982172i	$-0.560195\pi$
$719$	−10.0813			−0.375969			−0.187984	+	0.982172i	$0.560195\pi$
$720$	0.622668	−	0.452395i	0.0232055	−	0.0168598i
$721$	0.761320	+	0.553131i	0.0283530	+	0.0205997i
$722$	10.1563	+	7.37896i	0.377977	+	0.274616i
$723$	−6.62256	−	20.3822i	−0.246296	−	0.758021i
$724$	−15.9744	+	11.6061i	−0.593684	+	0.431337i
$725$	−3.14741	−	9.68672i	−0.116892	−	0.359756i
$726$	0.979574	−	3.01482i	0.0363554	−	0.111890i
$727$	6.96930	+	5.06349i	0.258477	+	0.187795i	0.709475	−	0.704730i	$-0.248932\pi$
$727$	6.96930	+	5.06349i	0.258477	+	0.187795i	−0.450998	+	0.892525i	$0.648932\pi$
$728$	−0.973768	+	2.99695i	−0.0360903	+	0.111074i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	−3.16270	−	2.29784i	−0.117057	−	0.0850468i
$731$	0.225084	−	0.692736i	0.00832502	−	0.0256218i
$732$	4.36202	+	13.4249i	0.161225	+	0.496199i
$733$	−23.9619	+	17.4094i	−0.885055	+	0.643030i	−0.934584	−	0.355743i	$-0.884228\pi$
$733$	−23.9619	+	17.4094i	−0.885055	+	0.643030i	0.0495292	+	0.998773i	$0.484228\pi$
$734$	4.56893	+	14.0617i	0.168642	+	0.519027i
$735$	−5.56489	−	4.04313i	−0.205264	−	0.149133i
$736$	−15.4694	−	11.2392i	−0.570210	−	0.414282i
$737$	−27.4853	+	19.9692i	−1.01243	+	0.735576i
$738$	0.601039			0.0221246
$739$	50.0577			1.84140			0.920701	−	0.390269i	$-0.127618\pi$
$739$	50.0577			1.84140			0.920701	+	0.390269i	$0.127618\pi$
$740$	−8.06417	+	5.85896i	−0.296445	+	0.215380i
$741$	1.59677	−	4.91436i	0.0586589	−	0.180533i
$742$	0.467805	+	1.43975i	0.0171736	+	0.0528551i
$743$	22.3942			0.821563			0.410781	−	0.911734i	$-0.365256\pi$
$743$	22.3942			0.821563			0.410781	+	0.911734i	$0.365256\pi$
$744$	−9.36652	−	11.2679i	−0.343393	−	0.413103i
$745$	−23.5121			−0.861418
$746$	−8.13075	−	25.0239i	−0.297688	−	0.916189i
$747$	−3.29817	+	10.1507i	−0.120674	+	0.371396i
$748$	0.278827	−	0.202580i	0.0101949	−	0.00740706i
$749$	5.61617			0.205210
$750$	6.98516			0.255062
$751$	−1.73488	+	1.26047i	−0.0633068	+	0.0459951i	−0.618989	−	0.785400i	$-0.712457\pi$
$751$	−1.73488	+	1.26047i	−0.0633068	+	0.0459951i	0.555682	+	0.831395i	$0.312457\pi$
$752$	−7.29866	−	5.30279i	−0.266155	−	0.193373i
$753$	22.8962	+	16.6351i	0.834385	+	0.606216i
$754$	−1.89240	−	5.82421i	−0.0689171	−	0.212105i
$755$	12.9687	−	9.42229i	0.471978	−	0.342912i
$756$	0.167152	+	0.514440i	0.00607925	+	0.0187100i
$757$	−1.94828	+	5.99620i	−0.0708116	+	0.217936i	−0.980199	−	0.198014i	$-0.936551\pi$
$757$	−1.94828	+	5.99620i	−0.0708116	+	0.217936i	0.909388	+	0.415950i	$0.136551\pi$
$758$	−2.96728	−	2.15586i	−0.107777	−	0.0783043i
$759$	3.92021	−	12.0652i	0.142295	−	0.437938i
$760$	−1.36005	+	4.18581i	−0.0493343	+	0.151835i
$761$	−40.5285	−	29.4457i	−1.46916	−	1.06741i	−0.980857	−	0.194732i	$-0.937616\pi$
$761$	−40.5285	−	29.4457i	−1.46916	−	1.06741i	−0.488302	−	0.872675i	$-0.662384\pi$
$762$	3.30491	−	10.1715i	0.119724	−	0.368473i
$763$	−1.55436	−	4.78383i	−0.0562717	−	0.173186i
$764$	−20.2515	+	14.7136i	−0.732674	+	0.532319i
$765$	−0.0196383	−	0.0604406i	−0.000710026	−	0.00218523i
$766$	−4.46155	−	3.24150i	−0.161202	−	0.117120i
$767$	34.2503	+	24.8843i	1.23671	+	0.898519i
$768$	10.7307	−	7.79630i	0.387210	−	0.281325i
$769$	7.94314			0.286437			0.143219	−	0.989691i	$-0.454255\pi$
$769$	7.94314			0.286437			0.143219	+	0.989691i	$0.454255\pi$
$770$	1.16505			0.0419856
$771$	13.8230	−	10.0430i	0.497821	−	0.361688i
$772$	−4.20633	+	12.9458i	−0.151389	+	0.465928i
$773$	4.46575	+	13.7442i	0.160622	+	0.494343i	0.998687	−	0.0512268i	$-0.0163131\pi$
$773$	4.46575	+	13.7442i	0.160622	+	0.494343i	−0.838065	+	0.545570i	$0.816313\pi$
$774$	8.90354			0.320031
$775$	1.44792	+	22.1790i	0.0520109	+	0.796691i
$776$	−34.8691			−1.25173
$777$	−0.845013	−	2.60068i	−0.0303147	−	0.0932989i
$778$	−1.81091	+	5.57341i	−0.0649243	+	0.199816i
$779$	1.04683	−	0.760568i	0.0375066	−	0.0272502i
$780$	−4.36477			−0.156284
$781$	32.6052			1.16671
$782$	−0.129359	+	0.0939846i	−0.00462586	+	0.00336088i
$783$	−2.06416	−	1.49970i	−0.0737672	−	0.0535950i
$784$	4.24881	+	3.08694i	0.151743	+	0.110248i
$785$	0.0163651	+	0.0503666i	0.000584095	+	0.00179766i
$786$	−8.09673	+	5.88262i	−0.288801	+	0.209826i
$787$	−12.5106	−	38.5037i	−0.445955	−	1.37251i	−0.881433	−	0.472308i	$-0.843421\pi$
$787$	−12.5106	−	38.5037i	−0.445955	−	1.37251i	0.435479	−	0.900199i	$-0.356579\pi$
$788$	−1.85909	+	5.72169i	−0.0662273	+	0.203827i
$789$	−17.6277	−	12.8073i	−0.627562	−	0.455950i
$790$	−1.11938	+	3.44509i	−0.0398256	+	0.122571i
$791$	−0.629381	+	1.93704i	−0.0223782	+	0.0688730i
$792$	8.27251	+	6.01033i	0.293951	+	0.213568i
$793$	9.65604	−	29.7182i	0.342896	−	1.05533i
$794$	−5.95285	−	18.3210i	−0.211259	−	0.650188i
$795$	−4.11745	+	2.99151i	−0.146031	+	0.106098i
$796$	−8.36206	−	25.7358i	−0.296385	−	0.912180i
$797$	25.3103	+	18.3890i	0.896538	+	0.651373i	0.937574	−	0.347785i	$-0.113066\pi$
$797$	25.3103	+	18.3890i	0.896538	+	0.651373i	−0.0410367	+	0.999158i	$0.513066\pi$
$798$	−0.402447	−	0.292395i	−0.0142465	−	0.0103507i
$799$	−0.602653	+	0.437853i	−0.0213203	+	0.0154901i
$800$	−23.3787			−0.826560
$801$	2.58945			0.0914937
$802$	−16.4244	+	11.9330i	−0.579967	+	0.421371i
$803$	−6.04235	+	18.5965i	−0.213230	+	0.656255i
$804$	−3.78644	−	11.6535i	−0.133537	−	0.410986i
$805$	1.26532			0.0445966
$806$	0.870573	+	13.3353i	0.0306646	+	0.469714i
$807$	−27.7681			−0.977484
$808$	1.18784	+	3.65581i	0.0417882	+	0.128611i
$809$	−0.784408	+	2.41416i	−0.0275783	+	0.0848773i	−0.963898	−	0.266271i	$-0.914209\pi$
$809$	−0.784408	+	2.41416i	−0.0275783	+	0.0848773i	0.936320	+	0.351148i	$0.114209\pi$
$810$	0.628465	−	0.456606i	0.0220820	−	0.0160435i
$811$	−39.6421			−1.39202			−0.696011	−	0.718031i	$-0.745044\pi$
$811$	−39.6421			−1.39202			−0.696011	+	0.718031i	$0.745044\pi$
$812$	1.38011			0.0484325
$813$	11.8165	−	8.58519i	0.414423	−	0.301096i
$814$	−17.2301	−	12.5184i	−0.603916	−	0.438771i
$815$	−6.22002	−	4.51911i	−0.217878	−	0.158297i
$816$	0.0149939	+	0.0461466i	0.000524893	+	0.00161545i
$817$	15.5073	−	11.2667i	0.542532	−	0.394173i
$818$	3.27272	+	10.0724i	0.114428	+	0.352173i
$819$	0.370018	−	1.13880i	0.0129295	−	0.0397928i
$820$	−0.884255	−	0.642449i	−0.0308795	−	0.0224353i
$821$	1.48317	−	4.56473i	0.0517630	−	0.159310i	−0.921833	−	0.387586i	$-0.873309\pi$
$821$	1.48317	−	4.56473i	0.0517630	−	0.159310i	0.973596	+	0.228276i	$0.0733089\pi$
$822$	−4.88460	+	15.0332i	−0.170370	+	0.524345i
$823$	−31.3621	−	22.7859i	−1.09321	−	0.794265i	−0.113274	−	0.993564i	$-0.536134\pi$
$823$	−31.3621	−	22.7859i	−1.09321	−	0.794265i	−0.979939	+	0.199298i	$0.936134\pi$
$824$	−1.98267	+	6.10202i	−0.0690695	+	0.212574i
$825$	−4.79306	−	14.7515i	−0.166873	−	0.513582i
$826$	3.29727	−	2.39561i	0.114727	−	0.0833538i
$827$	−1.54484	−	4.75453i	−0.0537193	−	0.165331i	0.920597	−	0.390513i	$-0.127702\pi$
$827$	−1.54484	−	4.75453i	−0.0537193	−	0.165331i	−0.974317	+	0.225182i	$0.927702\pi$
$828$	3.70161	+	2.68938i	0.128640	+	0.0934623i
$829$	−15.7830	−	11.4670i	−0.548166	−	0.398266i	0.278943	−	0.960308i	$-0.410016\pi$
$829$	−15.7830	−	11.4670i	−0.548166	−	0.398266i	−0.827109	+	0.562042i	$0.810016\pi$
$830$	−6.70767	+	4.87341i	−0.232827	+	0.169159i
$831$	−6.71601			−0.232976
$832$	−9.30050			−0.322437
$833$	0.350825	−	0.254890i	0.0121554	−	0.00883140i
$834$	−0.145679	+	0.448354i	−0.00504445	+	0.0155252i
$835$	−2.91960	−	8.98562i	−0.101037	−	0.310960i
$836$	9.06975			0.313684
$837$	3.55914	+	4.28165i	0.123022	+	0.147996i
$838$	−0.581870			−0.0201004
$839$	9.10602	+	28.0254i	0.314375	+	0.967546i	0.976011	+	0.217721i	$0.0698623\pi$
$839$	9.10602	+	28.0254i	0.314375	+	0.967546i	−0.661636	+	0.749825i	$0.730138\pi$
$840$	−0.315163	+	0.969972i	−0.0108742	+	0.0334672i
$841$	18.1949	−	13.2194i	0.627410	−	0.455840i
$842$	15.3986			0.530670
$843$	8.69490			0.299468
$844$	−4.15665	+	3.01998i	−0.143078	+	0.103952i
$845$	−2.74271	−	1.99270i	−0.0943521	−	0.0685508i
$846$	−7.36661	−	5.35216i	−0.253269	−	0.184011i
$847$	−0.488690	−	1.50403i	−0.0167916	−	0.0516792i
$848$	3.14369	−	2.28402i	0.107955	−	0.0784337i
$849$	6.40797	+	19.7217i	0.219921	+	0.676848i
$850$	−0.0604121	+	0.185929i	−0.00207212	+	0.00637732i
$851$	−18.7130	−	13.5958i	−0.641473	−	0.466057i
$852$	−3.63392	+	11.1841i	−0.124496	+	0.383160i
$853$	0.586359	−	1.80463i	0.0200765	−	0.0617892i	−0.940516	−	0.339749i	$-0.889658\pi$
$853$	0.586359	−	1.80463i	0.0200765	−	0.0617892i	0.960593	+	0.277959i	$0.0896580\pi$
$854$	−2.43369	−	1.76818i	−0.0832791	−	0.0605058i
$855$	0.516800	−	1.59055i	0.0176742	−	0.0543955i
$856$	11.8326	+	36.4170i	0.404430	+	1.24471i
$857$	−26.1830	+	19.0231i	−0.894395	+	0.649816i	−0.937020	−	0.349275i	$-0.886428\pi$
$857$	−26.1830	+	19.0231i	−0.894395	+	0.649816i	0.0426252	+	0.999091i	$0.486428\pi$
$858$	−2.88186	−	8.86945i	−0.0983851	−	0.302798i
$859$	−21.4951	−	15.6171i	−0.733403	−	0.532849i	0.157235	−	0.987561i	$-0.449742\pi$
$859$	−21.4951	−	15.6171i	−0.733403	−	0.532849i	−0.890638	+	0.454713i	$0.849742\pi$
$860$	−13.0990	−	9.51696i	−0.446671	−	0.324526i
$861$	0.242581	−	0.176245i	0.00826713	−	0.00600642i
$862$	1.76594			0.0601480
$863$	−32.2658			−1.09834			−0.549171	−	0.835710i	$-0.685056\pi$
$863$	−32.2658			−1.09834			−0.549171	+	0.835710i	$0.685056\pi$
$864$	−4.73798	+	3.44235i	−0.161189	+	0.117111i
$865$	2.29839	−	7.07372i	0.0781476	−	0.240514i
$866$	2.12507	+	6.54029i	0.0722128	+	0.222248i
$867$	−16.9960			−0.577214
$868$	−2.91882	−	0.742091i	−0.0990713	−	0.0251882i
$869$	18.1183			0.614621
$870$	−0.612481	−	1.88502i	−0.0207650	−	0.0639082i
$871$	−8.38191	+	25.7969i	−0.284010	+	0.874094i
$872$	27.7450	−	20.1579i	0.939565	−	0.682634i
$873$	13.2497			0.448436
$874$	−4.20780			−0.142331
$875$	2.81923	−	2.04829i	0.0953073	−	0.0692448i
$876$	−5.70542	−	4.14523i	−0.192768	−	0.140054i
$877$	−6.48322	−	4.71033i	−0.218923	−	0.159057i	0.472919	−	0.881106i	$-0.343200\pi$
$877$	−6.48322	−	4.71033i	−0.218923	−	0.159057i	−0.691842	+	0.722049i	$0.743200\pi$
$878$	8.07935	+	24.8657i	0.272665	+	0.839176i
$879$	20.9115	−	15.1931i	0.705329	−	0.512451i
$880$	−0.924119	−	2.84415i	−0.0311520	−	0.0958761i
$881$	−2.32785	+	7.16439i	−0.0784273	+	0.241374i	−0.982582	−	0.185832i	$-0.940502\pi$
$881$	−2.32785	+	7.16439i	−0.0784273	+	0.241374i	0.904154	+	0.427206i	$0.140502\pi$
$882$	4.28837	+	3.11568i	0.144397	+	0.104910i
$883$	14.2213	−	43.7685i	0.478583	−	1.47293i	−0.362480	−	0.931991i	$-0.618070\pi$
$883$	14.2213	−	43.7685i	0.478583	−	1.47293i	0.841064	−	0.540936i	$-0.181930\pi$
$884$	0.0850311	−	0.261699i	0.00285991	−	0.00880189i
$885$	11.0852	+	8.05387i	0.372625	+	0.270728i
$886$	−6.64881	+	20.4629i	−0.223371	+	0.687466i
$887$	10.5689	+	32.5278i	0.354869	+	1.09218i	0.956085	+	0.293089i	$0.0946832\pi$
$887$	10.5689	+	32.5278i	0.354869	+	1.09218i	−0.601216	+	0.799087i	$0.705317\pi$
$888$	15.0833	−	10.9587i	0.506162	−	0.367748i
$889$	−1.64875	−	5.07434i	−0.0552974	−	0.170188i
$890$	1.62738	+	1.18236i	0.0545498	+	0.0396328i
$891$	−3.14343	−	2.28384i	−0.105309	−	0.0765115i
$892$	−12.4109	+	9.01703i	−0.415547	+	0.301913i
$893$	−19.6032			−0.655996
$894$	18.1187			0.605981
$895$	13.2880	−	9.65430i	0.444169	−	0.322708i
$896$	1.12041	−	3.44826i	0.0374302	−	0.115198i
$897$	−3.12987	−	9.63276i	−0.104503	−	0.321629i
$898$	−12.9193			−0.431123
$899$	13.1959	−	5.26067i	0.440108	−	0.175453i
$900$	5.59418			0.186473
$901$	−0.0991489	−	0.305149i	−0.00330313	−	0.0101660i
$902$	0.721659	−	2.22104i	0.0240286	−	0.0739524i
$903$	3.59349	−	2.61082i	0.119584	−	0.0868827i
$904$	−13.8864			−0.461854
$905$	14.1468			0.470256
$906$	−9.99380	+	7.26092i	−0.332022	+	0.241228i
$907$	3.01046	+	2.18723i	0.0999607	+	0.0726257i	0.636643	−	0.771159i	$-0.280323\pi$
$907$	3.01046	+	2.18723i	0.0999607	+	0.0726257i	−0.536682	+	0.843784i	$0.680323\pi$
$908$	8.98916	+	6.53101i	0.298316	+	0.216739i
$909$	−0.451363	−	1.38915i	−0.0149708	−	0.0460753i
$910$	0.752525	−	0.546742i	0.0249460	−	0.0181243i
$911$	2.36394	+	7.27546i	0.0783208	+	0.241047i	0.982549	−	0.186002i	$-0.0595532\pi$
$911$	2.36394	+	7.27546i	0.0783208	+	0.241047i	−0.904229	+	0.427049i	$0.859553\pi$
$912$	−0.394578	+	1.21439i	−0.0130658	+	0.0402124i
$913$	33.5502	+	24.3757i	1.11035	+	0.806716i
$914$	3.36032	−	10.3420i	0.111149	−	0.342083i
$915$	3.12520	−	9.61839i	0.103316	−	0.317974i
$916$	15.8148	+	11.4901i	0.522535	+	0.379644i
$917$	−1.54287	+	4.74848i	−0.0509502	+	0.156809i
$918$	0.0151335	+	0.0465762i	0.000499481	+	0.00153724i
$919$	20.4011	−	14.8223i	0.672972	−	0.488943i	−0.198047	−	0.980193i	$-0.563460\pi$
$919$	20.4011	−	14.8223i	0.672972	−	0.488943i	0.871019	+	0.491250i	$0.163460\pi$
$920$	2.66587	+	8.20472i	0.0878913	+	0.270501i
$921$	−3.31057	−	2.40527i	−0.109087	−	0.0792564i
$922$	25.2205	+	18.3238i	0.830594	+	0.603462i
$923$	21.0602	−	15.3011i	0.693205	−	0.503643i
$924$	2.10172			0.0691415
$925$	−28.2806			−0.929861
$926$	−2.37081	+	1.72249i	−0.0779095	+	0.0566046i
$927$	0.753384	−	2.31868i	0.0247444	−	0.0761554i
$928$	4.61748	+	14.2111i	0.151576	+	0.466504i
$929$	−23.1314			−0.758918			−0.379459	−	0.925209i	$-0.623890\pi$
$929$	−23.1314			−0.758918			−0.379459	+	0.925209i	$0.623890\pi$
$930$	0.281763	+	4.31599i	0.00923939	+	0.141527i
$931$	11.4117			0.374004
$932$	−9.30389	−	28.6344i	−0.304759	−	0.937952i
$933$	−0.776431	+	2.38961i	−0.0254192	+	0.0782323i
$934$	−4.20127	+	3.05240i	−0.137470	+	0.0998775i
$935$	−0.246927			−0.00807539
$936$	8.16390			0.266845
$937$	1.02679	−	0.746005i	0.0335437	−	0.0243709i	−0.570887	−	0.821029i	$-0.693401\pi$
$937$	1.02679	−	0.746005i	0.0335437	−	0.0243709i	0.604431	+	0.796658i	$0.293401\pi$
$938$	2.11256	+	1.53486i	0.0689775	+	0.0501151i
$939$	−1.88687	−	1.37089i	−0.0615755	−	0.0447372i
$940$	5.11693	+	15.7483i	0.166896	+	0.513653i
$941$	−18.0381	+	13.1054i	−0.588024	+	0.427225i	−0.841608	−	0.540089i	$-0.818391\pi$
$941$	−18.0381	+	13.1054i	−0.588024	+	0.427225i	0.253584	+	0.967313i	$0.418391\pi$
$942$	−0.0126111	−	0.0388130i	−0.000410893	−	0.00126460i
$943$	0.783765	−	2.41218i	0.0255229	−	0.0785514i
$944$	−8.46358	−	6.14915i	−0.275466	−	0.200138i
$945$	0.119757	−	0.368575i	0.00389570	−	0.0119897i
$946$	10.6903	−	32.9015i	0.347573	−	1.06972i
$947$	37.9928	+	27.6034i	1.23460	+	0.896990i	0.997226	−	0.0744286i	$-0.0237133\pi$
$947$	37.9928	+	27.6034i	1.23460	+	0.896990i	0.237374	+	0.971418i	$0.423713\pi$
$948$	−2.01932	+	6.21483i	−0.0655845	+	0.201848i
$949$	4.82419	+	14.8473i	0.156600	+	0.481964i
$950$	−4.16214	+	3.02397i	−0.135038	+	0.0981106i
$951$	2.71215	+	8.34715i	0.0879476	+	0.270675i
$952$	−0.0520170	−	0.0377925i	−0.00168588	−	0.00122486i
$953$	−14.7302	−	10.7021i	−0.477157	−	0.346675i	0.323067	−	0.946376i	$-0.395286\pi$
$953$	−14.7302	−	10.7021i	−0.477157	−	0.346675i	−0.800224	+	0.599701i	$0.795286\pi$
$954$	3.17296	−	2.30529i	0.102728	−	0.0746365i
$955$	17.9346			0.580349
$956$	6.52053			0.210889
$957$	−8.02031	+	5.82709i	−0.259260	+	0.188363i
$958$	−0.0874217	+	0.269056i	−0.00282447	+	0.00869282i
$959$	2.43683	+	7.49979i	0.0786893	+	0.242181i
$960$	−3.01013			−0.0971517
$961$	−30.7369	+	4.03040i	−0.991512	+	0.130013i
$962$	−17.0039			−0.548229
$963$	−4.49622	−	13.8379i	−0.144889	−	0.445921i
$964$	9.28066	−	28.5629i	0.298910	−	0.919950i
$965$	7.88987	−	5.73233i	0.253984	−	0.184530i
$966$	−0.975068			−0.0313723
$967$	−3.57741			−0.115042			−0.0575209	−	0.998344i	$-0.518320\pi$
$967$	−3.57741			−0.115042			−0.0575209	+	0.998344i	$0.518320\pi$
$968$	8.72301	−	6.33764i	0.280368	−	0.203699i
$969$	0.0852967	+	0.0619717i	0.00274012	+	0.00199082i
$970$	8.32699	+	6.04992i	0.267364	+	0.194251i
$971$	1.50390	+	4.62853i	0.0482625	+	0.148537i	0.972284	−	0.233805i	$-0.0751177\pi$
$971$	1.50390	+	4.62853i	0.0482625	+	0.148537i	−0.924021	+	0.382342i	$0.875118\pi$
$972$	1.13373	−	0.823704i	0.0363645	−	0.0264203i
$973$	0.0726763	+	0.223675i	0.00232990	+	0.00717068i
$974$	6.28402	−	19.3402i	0.201353	−	0.619701i
$975$	−10.0186	−	7.27892i	−0.320851	−	0.233112i
$976$	−2.38610	+	7.34368i	−0.0763773	+	0.235065i
$977$	−0.0633340	+	0.194922i	−0.00202623	+	0.00623610i	−0.952065	−	0.305897i	$-0.901044\pi$
$977$	−0.0633340	+	0.194922i	−0.00202623	+	0.00623610i	0.950038	+	0.312133i	$0.101044\pi$
$978$	4.79322	+	3.48248i	0.153270	+	0.111357i
$979$	3.10911	−	9.56886i	0.0993676	−	0.305822i
$980$	−2.97875	−	9.16764i	−0.0951526	−	0.292850i
$981$	−10.5427	+	7.65972i	−0.336602	+	0.244556i
$982$	7.02363	+	21.6165i	0.224133	+	0.689810i
$983$	7.95534	+	5.77989i	0.253736	+	0.184350i	0.707381	−	0.706833i	$-0.249877\pi$
$983$	7.95534	+	5.77989i	0.253736	+	0.184350i	−0.453645	+	0.891182i	$0.649877\pi$
$984$	1.65392	+	1.20164i	0.0527250	+	0.0383070i
$985$	3.48712	−	2.53354i	0.111109	−	0.0807253i
$986$	0.124952			0.00397930
$987$	−4.54262			−0.144593
$988$	5.85829	−	4.25630i	0.186377	−	0.135411i
$989$	11.6104	−	35.7330i	0.369188	−	1.13624i
$990$	−0.932722	−	2.87062i	−0.0296439	−	0.0912344i
$991$	−12.9325			−0.410816			−0.205408	−	0.978676i	$-0.565852\pi$
$991$	−12.9325			−0.410816			−0.205408	+	0.978676i	$0.565852\pi$
$992$	−2.12421	−	32.5382i	−0.0674437	−	1.03309i
$993$	−4.45301			−0.141312
$994$	−0.774422	−	2.38343i	−0.0245632	−	0.0755977i
$995$	−5.99107	+	18.4386i	−0.189930	+	0.584544i
$996$	−12.1004	+	8.79149i	−0.383417	+	0.278569i
$997$	12.7352			0.403329			0.201665	−	0.979455i	$-0.435365\pi$
$997$	12.7352			0.403329			0.201665	+	0.979455i	$0.435365\pi$
$998$	−12.1678			−0.385165
$999$	−5.73143	+	4.16413i	−0.181334	+	0.131747i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	93.2.f.b.4.3	✓	16
3.2	odd	2		279.2.i.c.190.2		16
31.8	even	5	inner	93.2.f.b.70.3	yes	16
31.15	odd	10		2883.2.a.o.1.5		8
31.16	even	5		2883.2.a.p.1.5		8
93.8	odd	10		279.2.i.c.163.2		16
93.47	odd	10		8649.2.a.bh.1.4		8
93.77	even	10		8649.2.a.bg.1.4		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
93.2.f.b.4.3	✓	16	1.1	even	1	trivial
93.2.f.b.70.3	yes	16	31.8	even	5	inner
279.2.i.c.163.2		16	93.8	odd	10
279.2.i.c.190.2		16	3.2	odd	2
2883.2.a.o.1.5		8	31.15	odd	10
2883.2.a.p.1.5		8	31.16	even	5
8649.2.a.bg.1.4		8	93.77	even	10
8649.2.a.bh.1.4		8	93.47	odd	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 93 = 3 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	93.f (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.239090 + 0.735844i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.13373 - 0.823704i) q^{4} -1.00402 q^{5} +0.773712 q^{6} +(0.312272 - 0.226879i) q^{7} +(2.12907 + 1.54686i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(0.239090 + 0.735844i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.13373 - 0.823704i) q^{4} -1.00402 q^{5} +0.773712 q^{6} +(0.312272 - 0.226879i) q^{7} +(2.12907 + 1.54686i) q^{8} +(-0.809017 - 0.587785i) q^{9} +(-0.240052 - 0.738805i) q^{10} +(-3.14343 + 2.28384i) q^{11} +(-0.433047 - 1.33278i) q^{12} +(-0.958621 + 2.95033i) q^{13} +(0.241609 + 0.175539i) q^{14} +(-0.310260 + 0.954883i) q^{15} +(0.236885 - 0.729057i) q^{16} +(-0.0512078 - 0.0372047i) q^{17} +(0.239090 - 0.735844i) q^{18} +(-0.514729 - 1.58417i) q^{19} +(-1.13829 + 0.827019i) q^{20} +(-0.119277 - 0.367098i) q^{21} +(-2.43211 - 1.76703i) q^{22} +(-2.64142 - 1.91911i) q^{23} +(2.12907 - 1.54686i) q^{24} -3.99194 q^{25} -2.40018 q^{26} +(-0.809017 + 0.587785i) q^{27} +(0.167152 - 0.514440i) q^{28} +(0.788441 + 2.42657i) q^{29} -0.776825 q^{30} +(-0.362712 - 5.55594i) q^{31} +5.85647 q^{32} +(1.20068 + 3.69533i) q^{33} +(0.0151335 - 0.0465762i) q^{34} +(-0.313529 + 0.227792i) q^{35} -1.40137 q^{36} +7.08444 q^{37} +(1.04264 - 0.757520i) q^{38} +(2.50970 + 1.82341i) q^{39} +(-2.13764 - 1.55309i) q^{40} +(0.240052 + 0.738805i) q^{41} +(0.241609 - 0.175539i) q^{42} +(3.55603 + 10.9443i) q^{43} +(-1.68260 + 5.17852i) q^{44} +(0.812272 + 0.590150i) q^{45} +(0.780624 - 2.40251i) q^{46} +(3.63675 - 11.1928i) q^{47} +(-0.620173 - 0.450582i) q^{48} +(-2.11708 + 6.51570i) q^{49} +(-0.954433 - 2.93744i) q^{50} +(-0.0512078 + 0.0372047i) q^{51} +(1.34338 + 4.13450i) q^{52} +(4.10095 + 2.97952i) q^{53} +(-0.625946 - 0.454777i) q^{54} +(3.15608 - 2.29303i) q^{55} +1.01580 q^{56} -1.66570 q^{57} +(-1.59707 + 1.16034i) q^{58} +(4.21720 - 12.9792i) q^{59} +(0.434789 + 1.33814i) q^{60} -10.0728 q^{61} +(4.00158 - 1.59527i) q^{62} -0.385990 q^{63} +(0.926455 + 2.85134i) q^{64} +(0.962478 - 2.96220i) q^{65} +(-2.43211 + 1.76703i) q^{66} +8.74372 q^{67} -0.0887016 q^{68} +(-2.64142 + 1.91911i) q^{69} +(-0.242581 - 0.176245i) q^{70} +(-6.78888 - 4.93241i) q^{71} +(-0.813234 - 2.50288i) q^{72} +(4.07132 - 2.95798i) q^{73} +(1.69382 + 5.21304i) q^{74} +(-1.23358 + 3.79656i) q^{75} +(-1.88845 - 1.37204i) q^{76} +(-0.463452 + 1.42636i) q^{77} +(-0.741697 + 2.28271i) q^{78} +(-3.77249 - 2.74087i) q^{79} +(-0.237838 + 0.731990i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-0.486251 + 0.353282i) q^{82} +(-3.29817 - 10.1507i) q^{83} +(-0.437609 - 0.317941i) q^{84} +(0.0514138 + 0.0373543i) q^{85} +(-7.20311 + 5.23337i) q^{86} +2.55145 q^{87} -10.2254 q^{88} +(-2.09491 + 1.52204i) q^{89} +(-0.240052 + 0.738805i) q^{90} +(0.370018 + 1.13880i) q^{91} -4.57544 q^{92} +(-5.39609 - 1.37192i) q^{93} +9.10563 q^{94} +(0.516800 + 1.59055i) q^{95} +(1.80975 - 5.56983i) q^{96} +(-10.7193 + 7.78800i) q^{97} -5.30071 q^{98} +3.88550 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 3 q^{2} - 4 q^{3} - 9 q^{4} + 6 q^{5} + 2 q^{6} - 7 q^{7} - 2 q^{8} - 4 q^{9}+O(q^{10}) \) 16 * q - 3 * q^2 - 4 * q^3 - 9 * q^4 + 6 * q^5 + 2 * q^6 - 7 * q^7 - 2 * q^8 - 4 * q^9	\( 16 q - 3 q^{2} - 4 q^{3} - 9 q^{4} + 6 q^{5} + 2 q^{6} - 7 q^{7} - 2 q^{8} - 4 q^{9} - 3 q^{10} + 10 q^{11} - 4 q^{12} - 3 q^{13} - 4 q^{14} - 4 q^{15} - 17 q^{16} - q^{17} - 3 q^{18} - 4 q^{19} + 7 q^{20} + 8 q^{21} + 10 q^{22} + 7 q^{23} - 2 q^{24} + 30 q^{25} - 16 q^{26} - 4 q^{27} + 9 q^{28} - 2 q^{29} + 12 q^{30} - 13 q^{31} + 108 q^{32} - 5 q^{33} - 4 q^{34} - 33 q^{35} + 26 q^{36} - 28 q^{37} - 62 q^{38} + 7 q^{39} - 27 q^{40} + 3 q^{41} - 4 q^{42} - 13 q^{43} - 64 q^{44} + q^{45} - q^{46} - 20 q^{47} - 2 q^{48} + q^{49} - 44 q^{50} - q^{51} + 88 q^{52} - 4 q^{53} + 2 q^{54} - 8 q^{55} + 104 q^{56} - 14 q^{57} - 31 q^{58} + 49 q^{59} - 8 q^{60} - 13 q^{62} - 2 q^{63} - 26 q^{64} - q^{65} + 10 q^{66} + 60 q^{67} - 30 q^{68} + 7 q^{69} + 85 q^{70} + 23 q^{71} - 7 q^{72} - 17 q^{73} + 70 q^{74} - 5 q^{75} + 7 q^{76} + 2 q^{77} + 19 q^{78} - 13 q^{79} - 94 q^{80} - 4 q^{81} - 9 q^{82} - 49 q^{83} - 6 q^{84} - 4 q^{85} + 24 q^{86} - 2 q^{87} - 32 q^{88} + 3 q^{89} - 3 q^{90} - 2 q^{91} - 70 q^{92} + 17 q^{93} + 74 q^{94} - 10 q^{95} - 32 q^{96} + 3 q^{97} - 82 q^{98} - 10 q^{99}+O(q^{100}) \) 16 * q - 3 * q^2 - 4 * q^3 - 9 * q^4 + 6 * q^5 + 2 * q^6 - 7 * q^7 - 2 * q^8 - 4 * q^9 - 3 * q^10 + 10 * q^11 - 4 * q^12 - 3 * q^13 - 4 * q^14 - 4 * q^15 - 17 * q^16 - q^17 - 3 * q^18 - 4 * q^19 + 7 * q^20 + 8 * q^21 + 10 * q^22 + 7 * q^23 - 2 * q^24 + 30 * q^25 - 16 * q^26 - 4 * q^27 + 9 * q^28 - 2 * q^29 + 12 * q^30 - 13 * q^31 + 108 * q^32 - 5 * q^33 - 4 * q^34 - 33 * q^35 + 26 * q^36 - 28 * q^37 - 62 * q^38 + 7 * q^39 - 27 * q^40 + 3 * q^41 - 4 * q^42 - 13 * q^43 - 64 * q^44 + q^45 - q^46 - 20 * q^47 - 2 * q^48 + q^49 - 44 * q^50 - q^51 + 88 * q^52 - 4 * q^53 + 2 * q^54 - 8 * q^55 + 104 * q^56 - 14 * q^57 - 31 * q^58 + 49 * q^59 - 8 * q^60 - 13 * q^62 - 2 * q^63 - 26 * q^64 - q^65 + 10 * q^66 + 60 * q^67 - 30 * q^68 + 7 * q^69 + 85 * q^70 + 23 * q^71 - 7 * q^72 - 17 * q^73 + 70 * q^74 - 5 * q^75 + 7 * q^76 + 2 * q^77 + 19 * q^78 - 13 * q^79 - 94 * q^80 - 4 * q^81 - 9 * q^82 - 49 * q^83 - 6 * q^84 - 4 * q^85 + 24 * q^86 - 2 * q^87 - 32 * q^88 + 3 * q^89 - 3 * q^90 - 2 * q^91 - 70 * q^92 + 17 * q^93 + 74 * q^94 - 10 * q^95 - 32 * q^96 + 3 * q^97 - 82 * q^98 - 10 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more