LMFDB - Embedded newform 370.2.o.d.201.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(71,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("370.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.o (of order $9$, degree $6$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			201.2
Character	$\chi$	$=$	370.201
Dual form			370.2.o.d.81.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.939693 - 0.342020i) q^{2} +(-0.436963 + 0.159041i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.173648 + 0.984808i) q^{5} +0.465006 q^{6} +(0.593088 - 3.36357i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.13249 + 1.78937i) q^{9} +O(q^{10})$	\(q+(-0.939693 - 0.342020i) q^{2} +(-0.436963 + 0.159041i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.173648 + 0.984808i) q^{5} +0.465006 q^{6} +(0.593088 - 3.36357i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.13249 + 1.78937i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-3.22386 - 5.58389i) q^{11} +(-0.436963 - 0.159041i) q^{12} +(3.08457 + 2.58826i) q^{13} +(-1.70773 + 2.95787i) q^{14} +(-0.0807474 - 0.457942i) q^{15} +(0.173648 + 0.984808i) q^{16} +(2.55783 - 2.14628i) q^{17} +(2.61589 - 0.952105i) q^{18} +(1.82140 - 0.662935i) q^{19} +(-0.766044 + 0.642788i) q^{20} +(0.275789 + 1.56408i) q^{21} +(1.11964 + 6.34977i) q^{22} +(3.97416 - 6.88345i) q^{23} +(0.356215 + 0.298900i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(-2.01331 - 3.48716i) q^{26} +(1.34474 - 2.32916i) q^{27} +(2.61639 - 2.19541i) q^{28} +(-4.45231 - 7.71162i) q^{29} +(-0.0807474 + 0.457942i) q^{30} -4.45835 q^{31} +(0.173648 - 0.984808i) q^{32} +(2.29678 + 1.92722i) q^{33} +(-3.13764 + 1.14201i) q^{34} +(3.20948 + 1.16815i) q^{35} -2.78377 q^{36} +(-3.52805 - 4.95509i) q^{37} -1.93829 q^{38} +(-1.75948 - 0.640400i) q^{39} +(0.939693 - 0.342020i) q^{40} +(2.06206 + 1.73027i) q^{41} +(0.275789 - 1.56408i) q^{42} +5.37815 q^{43} +(1.11964 - 6.34977i) q^{44} +(-1.39188 - 2.41082i) q^{45} +(-6.08877 + 5.10909i) q^{46} +(-4.77021 + 8.26224i) q^{47} +(-0.232503 - 0.402707i) q^{48} +(-4.38398 - 1.59564i) q^{49} +(0.766044 + 0.642788i) q^{50} +(-0.776330 + 1.34464i) q^{51} +(0.699216 + 3.96545i) q^{52} +(-0.523197 - 2.96720i) q^{53} +(-2.06027 + 1.72877i) q^{54} +(6.05888 - 2.20525i) q^{55} +(-3.20948 + 1.16815i) q^{56} +(-0.690449 + 0.579356i) q^{57} +(1.54627 + 8.76934i) q^{58} +(-0.145373 - 0.824450i) q^{59} +(0.232503 - 0.402707i) q^{60} +(2.44159 + 2.04874i) q^{61} +(4.18948 + 1.52484i) q^{62} +(4.75392 + 8.23403i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-3.08457 + 2.58826i) q^{65} +(-1.49911 - 2.59654i) q^{66} +(0.828074 - 4.69624i) q^{67} +3.33901 q^{68} +(-0.641807 + 3.63987i) q^{69} +(-2.61639 - 2.19541i) q^{70} +(5.83082 - 2.12225i) q^{71} +(2.61589 + 0.952105i) q^{72} +11.3429 q^{73} +(1.62054 + 5.86292i) q^{74} +0.465006 q^{75} +(1.82140 + 0.662935i) q^{76} +(-20.6938 + 7.53194i) q^{77} +(1.43434 + 1.20356i) q^{78} +(-2.17289 + 12.3231i) q^{79} -1.00000 q^{80} +(1.23302 - 6.99281i) q^{81} +(-1.34591 - 2.33119i) q^{82} +(-5.12319 + 4.29887i) q^{83} +(-0.794104 + 1.37543i) q^{84} +(1.66951 + 2.89167i) q^{85} +(-5.05381 - 1.83944i) q^{86} +(3.17196 + 2.66159i) q^{87} +(-3.22386 + 5.58389i) q^{88} +(-0.0213918 - 0.121319i) q^{89} +(0.483396 + 2.74148i) q^{90} +(10.5352 - 8.84010i) q^{91} +(7.46899 - 2.71849i) q^{92} +(1.94813 - 0.709062i) q^{93} +(7.30838 - 6.13246i) q^{94} +(0.336581 + 1.90884i) q^{95} +(0.0807474 + 0.457942i) q^{96} +(-3.31896 + 5.74862i) q^{97} +(3.57385 + 2.99882i) q^{98} +(16.8665 + 6.13891i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9	$ 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9} + 12 q^{10} - 3 q^{11} - 3 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} + 18 q^{21} + 3 q^{22} + 15 q^{23} - 6 q^{26} - 12 q^{27} + 9 q^{28} - 18 q^{29} - 6 q^{31} - 45 q^{33} - 3 q^{34} + 30 q^{36} - 18 q^{37} - 24 q^{38} + 12 q^{39} + 3 q^{41} + 18 q^{42} + 3 q^{44} + 15 q^{45} + 9 q^{46} - 36 q^{47} - 3 q^{48} - 15 q^{49} + 54 q^{51} - 9 q^{52} - 6 q^{53} + 45 q^{54} - 3 q^{55} + 3 q^{57} - 15 q^{58} - 9 q^{59} + 3 q^{60} - 24 q^{61} + 81 q^{62} - 45 q^{63} - 12 q^{64} - 3 q^{66} + 12 q^{67} + 12 q^{68} + 60 q^{69} - 9 q^{70} + 42 q^{71} - 6 q^{72} - 42 q^{73} + 12 q^{74} + 6 q^{75} - 18 q^{76} + 9 q^{77} + 30 q^{78} - 6 q^{79} - 24 q^{80} - 66 q^{81} - 24 q^{82} - 3 q^{83} - 42 q^{84} + 6 q^{85} - 18 q^{86} - 84 q^{87} - 3 q^{88} + 27 q^{89} + 6 q^{90} + 153 q^{91} - 9 q^{92} - 54 q^{93} - 21 q^{94} - 9 q^{95} - 9 q^{97} - 24 q^{98} + 165 q^{99}+O(q^{100}) $ 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9 + 12 * q^10 - 3 * q^11 - 3 * q^14 + 6 * q^17 - 6 * q^18 - 18 * q^19 + 18 * q^21 + 3 * q^22 + 15 * q^23 - 6 * q^26 - 12 * q^27 + 9 * q^28 - 18 * q^29 - 6 * q^31 - 45 * q^33 - 3 * q^34 + 30 * q^36 - 18 * q^37 - 24 * q^38 + 12 * q^39 + 3 * q^41 + 18 * q^42 + 3 * q^44 + 15 * q^45 + 9 * q^46 - 36 * q^47 - 3 * q^48 - 15 * q^49 + 54 * q^51 - 9 * q^52 - 6 * q^53 + 45 * q^54 - 3 * q^55 + 3 * q^57 - 15 * q^58 - 9 * q^59 + 3 * q^60 - 24 * q^61 + 81 * q^62 - 45 * q^63 - 12 * q^64 - 3 * q^66 + 12 * q^67 + 12 * q^68 + 60 * q^69 - 9 * q^70 + 42 * q^71 - 6 * q^72 - 42 * q^73 + 12 * q^74 + 6 * q^75 - 18 * q^76 + 9 * q^77 + 30 * q^78 - 6 * q^79 - 24 * q^80 - 66 * q^81 - 24 * q^82 - 3 * q^83 - 42 * q^84 + 6 * q^85 - 18 * q^86 - 84 * q^87 - 3 * q^88 + 27 * q^89 + 6 * q^90 + 153 * q^91 - 9 * q^92 - 54 * q^93 - 21 * q^94 - 9 * q^95 - 9 * q^97 - 24 * q^98 + 165 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{1}{9}\right)$	$1$

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 $

$2$	−0.939693	−	0.342020i	−0.664463	−	0.241845i
$2$	−0.939693	−	0.342020i	−0.664463	−	0.241845i
$3$	−0.436963	+	0.159041i	−0.252281	+	0.0918226i	−0.465065	−	0.885277i	$-0.653969\pi$
$3$	−0.436963	+	0.159041i	−0.252281	+	0.0918226i	0.212784	+	0.977099i	$0.431747\pi$
$4$	0.766044	+	0.642788i	0.383022	+	0.321394i
$5$	−0.173648	+	0.984808i	−0.0776578	+	0.440419i
$5$	−0.173648	+	0.984808i	−0.0776578	+	0.440419i
$6$	0.465006			0.189838
$7$	0.593088	−	3.36357i	0.224166	−	1.27131i	−0.640107	−	0.768286i	$-0.721110\pi$
$7$	0.593088	−	3.36357i	0.224166	−	1.27131i	0.864273	−	0.503023i	$-0.167779\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	−2.13249	+	1.78937i	−0.710830	+	0.596457i
$10$	0.500000	−	0.866025i	0.158114	−	0.273861i
$11$	−3.22386	−	5.58389i	−0.972031	−	1.68361i	−0.689404	−	0.724377i	$-0.742128\pi$
$11$	−3.22386	−	5.58389i	−0.972031	−	1.68361i	−0.282626	−	0.959230i	$-0.591206\pi$
$12$	−0.436963	−	0.159041i	−0.126140	−	0.0459113i
$13$	3.08457	+	2.58826i	0.855506	+	0.717855i	0.960995	−	0.276566i	$-0.0891963\pi$
$13$	3.08457	+	2.58826i	0.855506	+	0.717855i	−0.105489	+	0.994420i	$0.533641\pi$
$14$	−1.70773	+	2.95787i	−0.456409	+	0.790524i
$15$	−0.0807474	−	0.457942i	−0.0208489	−	0.118240i
$16$	0.173648	+	0.984808i	0.0434120	+	0.246202i
$17$	2.55783	−	2.14628i	0.620365	−	0.520548i	−0.277553	−	0.960710i	$-0.589523\pi$
$17$	2.55783	−	2.14628i	0.620365	−	0.520548i	0.897918	+	0.440162i	$0.145079\pi$
$18$	2.61589	−	0.952105i	0.616571	−	0.224413i
$19$	1.82140	−	0.662935i	0.417857	−	0.152088i	−0.124531	−	0.992216i	$-0.539742\pi$
$19$	1.82140	−	0.662935i	0.417857	−	0.152088i	0.542388	+	0.840128i	$0.317520\pi$
$20$	−0.766044	+	0.642788i	−0.171293	+	0.143732i
$21$	0.275789	+	1.56408i	0.0601822	+	0.341310i
$22$	1.11964	+	6.34977i	0.238707	+	1.35377i
$23$	3.97416	−	6.88345i	0.828671	−	1.43530i	−0.0704108	−	0.997518i	$-0.522431\pi$
$23$	3.97416	−	6.88345i	0.828671	−	1.43530i	0.899081	−	0.437781i	$-0.144236\pi$
$24$	0.356215	+	0.298900i	0.0727121	+	0.0610127i
$25$	−0.939693	−	0.342020i	−0.187939	−	0.0684040i
$26$	−2.01331	−	3.48716i	−0.394843	−	0.683888i
$27$	1.34474	−	2.32916i	0.258796	−	0.448248i
$28$	2.61639	−	2.19541i	0.494451	−	0.414894i
$29$	−4.45231	−	7.71162i	−0.826773	−	1.43201i	−0.900557	−	0.434738i	$-0.856841\pi$
$29$	−4.45231	−	7.71162i	−0.826773	−	1.43201i	0.0737839	−	0.997274i	$-0.476493\pi$
$30$	−0.0807474	+	0.457942i	−0.0147424	+	0.0836083i
$31$	−4.45835			−0.800743			−0.400371	−	0.916353i	$-0.631119\pi$
$31$	−4.45835			−0.800743			−0.400371	+	0.916353i	$0.631119\pi$
$32$	0.173648	−	0.984808i	0.0306970	−	0.174091i
$33$	2.29678	+	1.92722i	0.399818	+	0.335487i
$34$	−3.13764	+	1.14201i	−0.538102	+	0.195853i
$35$	3.20948	+	1.16815i	0.542501	+	0.197454i
$36$	−2.78377			−0.463962
$37$	−3.52805	−	4.95509i	−0.580008	−	0.814611i
$37$	−3.52805	−	4.95509i	−0.580008	−	0.814611i
$38$	−1.93829			−0.314432
$39$	−1.75948	−	0.640400i	−0.281743	−	0.102546i
$40$	0.939693	−	0.342020i	0.148578	−	0.0540781i
$41$	2.06206	+	1.73027i	0.322039	+	0.270223i	0.789447	−	0.613819i	$-0.210367\pi$
$41$	2.06206	+	1.73027i	0.322039	+	0.270223i	−0.467407	+	0.884042i	$0.654812\pi$
$42$	0.275789	−	1.56408i	0.0425552	−	0.241343i
$43$	5.37815			0.820160			0.410080	−	0.912050i	$-0.365501\pi$
$43$	5.37815			0.820160			0.410080	+	0.912050i	$0.365501\pi$
$44$	1.11964	−	6.34977i	0.168791	−	0.957263i
$45$	−1.39188	−	2.41082i	−0.207490	−	0.359383i
$46$	−6.08877	+	5.10909i	−0.897741	+	0.753294i
$47$	−4.77021	+	8.26224i	−0.695806	+	1.20517i	0.274102	+	0.961701i	$0.411619\pi$
$47$	−4.77021	+	8.26224i	−0.695806	+	1.20517i	−0.969908	+	0.243471i	$0.921714\pi$
$48$	−0.232503	−	0.402707i	−0.0335589	−	0.0581257i
$49$	−4.38398	−	1.59564i	−0.626283	−	0.227948i
$50$	0.766044	+	0.642788i	0.108335	+	0.0909039i
$51$	−0.776330	+	1.34464i	−0.108708	+	0.188288i
$52$	0.699216	+	3.96545i	0.0969638	+	0.549909i
$53$	−0.523197	−	2.96720i	−0.0718667	−	0.407576i	−0.999425	−	0.0338985i	$-0.989208\pi$
$53$	−0.523197	−	2.96720i	−0.0718667	−	0.407576i	0.927559	−	0.373678i	$-0.121903\pi$
$54$	−2.06027	+	1.72877i	−0.280367	+	0.235256i
$55$	6.05888	−	2.20525i	0.816979	−	0.297356i
$56$	−3.20948	+	1.16815i	−0.428885	+	0.156101i
$57$	−0.690449	+	0.579356i	−0.0914522	+	0.0767375i
$58$	1.54627	+	8.76934i	0.203035	+	1.15147i
$59$	−0.145373	−	0.824450i	−0.0189259	−	0.107334i	0.973881	−	0.227057i	$-0.0729105\pi$
$59$	−0.145373	−	0.824450i	−0.0189259	−	0.107334i	−0.992807	+	0.119723i	$0.961799\pi$
$60$	0.232503	−	0.402707i	0.0300160	−	0.0519893i
$61$	2.44159	+	2.04874i	0.312614	+	0.262314i	0.785571	−	0.618771i	$-0.212369\pi$
$61$	2.44159	+	2.04874i	0.312614	+	0.262314i	−0.472958	+	0.881085i	$0.656814\pi$
$62$	4.18948	+	1.52484i	0.532064	+	0.193655i
$63$	4.75392	+	8.23403i	0.598938	+	1.03739i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−3.08457	+	2.58826i	−0.382594	+	0.321035i
$66$	−1.49911	−	2.59654i	−0.184528	−	0.319612i
$67$	0.828074	−	4.69624i	0.101165	−	0.573737i	−0.891518	−	0.452986i	$-0.850359\pi$
$67$	0.828074	−	4.69624i	0.101165	−	0.573737i	0.992683	−	0.120751i	$-0.0385302\pi$
$68$	3.33901			0.404915
$69$	−0.641807	+	3.63987i	−0.0772645	+	0.438189i
$70$	−2.61639	−	2.19541i	−0.312719	−	0.262402i
$71$	5.83082	−	2.12225i	0.691992	−	0.251864i	0.0280038	−	0.999608i	$-0.491085\pi$
$71$	5.83082	−	2.12225i	0.691992	−	0.251864i	0.663988	+	0.747743i	$0.268863\pi$
$72$	2.61589	+	0.952105i	0.308285	+	0.112207i
$73$	11.3429			1.32759			0.663795	−	0.747915i	$-0.268945\pi$
$73$	11.3429			1.32759			0.663795	+	0.747915i	$0.268945\pi$
$74$	1.62054	+	5.86292i	0.188384	+	0.681551i
$75$	0.465006			0.0536943
$76$	1.82140	+	0.662935i	0.208929	+	0.0760438i
$77$	−20.6938	+	7.53194i	−2.35828	+	0.858344i
$78$	1.43434	+	1.20356i	0.162408	+	0.136276i
$79$	−2.17289	+	12.3231i	−0.244469	+	1.38645i	0.577254	+	0.816565i	$0.304124\pi$
$79$	−2.17289	+	12.3231i	−0.244469	+	1.38645i	−0.821723	+	0.569887i	$0.806987\pi$
$80$	−1.00000			−0.111803
$81$	1.23302	−	6.99281i	0.137002	−	0.776978i
$82$	−1.34591	−	2.33119i	−0.148631	−	0.257437i
$83$	−5.12319	+	4.29887i	−0.562343	+	0.471862i	−0.879095	−	0.476647i	$-0.841852\pi$
$83$	−5.12319	+	4.29887i	−0.562343	+	0.471862i	0.316752	+	0.948508i	$0.397408\pi$
$84$	−0.794104	+	1.37543i	−0.0866438	+	0.150071i
$85$	1.66951	+	2.89167i	0.181083	+	0.313646i
$86$	−5.05381	−	1.83944i	−0.544966	−	0.198351i
$87$	3.17196	+	2.66159i	0.340070	+	0.285352i
$88$	−3.22386	+	5.58389i	−0.343665	+	0.595245i
$89$	−0.0213918	−	0.121319i	−0.00226753	−	0.0128598i	0.983653	−	0.180074i	$-0.0576338\pi$
$89$	−0.0213918	−	0.121319i	−0.00226753	−	0.0128598i	−0.985921	+	0.167215i	$0.946523\pi$
$90$	0.483396	+	2.74148i	0.0509545	+	0.288977i
$91$	10.5352	−	8.84010i	1.10439	−	0.926694i
$92$	7.46899	−	2.71849i	0.778696	−	0.283422i
$93$	1.94813	−	0.709062i	0.202012	−	0.0735263i
$94$	7.30838	−	6.13246i	0.753802	−	0.632515i
$95$	0.336581	+	1.90884i	0.0345325	+	0.195843i
$96$	0.0807474	+	0.457942i	0.00824125	+	0.0467385i
$97$	−3.31896	+	5.74862i	−0.336990	+	0.583683i	−0.983865	−	0.178912i	$-0.942742\pi$
$97$	−3.31896	+	5.74862i	−0.336990	+	0.583683i	0.646875	+	0.762596i	$0.276075\pi$
$98$	3.57385	+	2.99882i	0.361014	+	0.302927i
$99$	16.8665	+	6.13891i	1.69515	+	0.616984i
$100$	−0.500000	−	0.866025i	−0.0500000	−	0.0866025i
$101$	−7.62639	+	13.2093i	−0.758854	+	1.31437i	0.184581	+	0.982817i	$0.440907\pi$
$101$	−7.62639	+	13.2093i	−0.758854	+	1.31437i	−0.943435	+	0.331557i	$0.892426\pi$
$102$	1.18941	−	0.998031i	0.117769	−	0.0988198i
$103$	5.34242	+	9.25335i	0.526405	+	0.911760i	0.999527	+	0.0307627i	$0.00979363\pi$
$103$	5.34242	+	9.25335i	0.526405	+	0.911760i	−0.473122	+	0.880997i	$0.656873\pi$
$104$	0.699216	−	3.96545i	0.0685637	−	0.388844i
$105$	−1.58821			−0.154993
$106$	−0.523197	+	2.96720i	−0.0508174	+	0.288200i
$107$	−4.83210	−	4.05462i	−0.467137	−	0.391975i	0.378612	−	0.925556i	$-0.376402\pi$
$107$	−4.83210	−	4.05462i	−0.467137	−	0.391975i	−0.845749	+	0.533581i	$0.820846\pi$
$108$	2.52729	−	0.919859i	0.243189	−	0.0885135i
$109$	−5.80211	−	2.11180i	−0.555742	−	0.202273i	0.0488540	−	0.998806i	$-0.484443\pi$
$109$	−5.80211	−	2.11180i	−0.555742	−	0.202273i	−0.604596	+	0.796532i	$0.706665\pi$
$110$	−6.44772			−0.614766
$111$	2.32969	+	1.60408i	0.221124	+	0.152253i
$112$	3.41546			0.322730
$113$	−2.09045	−	0.760860i	−0.196653	−	0.0715757i	0.241816	−	0.970322i	$-0.422257\pi$
$113$	−2.09045	−	0.760860i	−0.196653	−	0.0715757i	−0.438469	+	0.898746i	$0.644479\pi$
$114$	0.846961	−	0.308269i	0.0793252	−	0.0288720i
$115$	6.08877	+	5.10909i	0.567781	+	0.476425i
$116$	1.54627	−	8.76934i	0.143568	−	0.814212i
$117$	−11.2092			−1.03629
$118$	−0.145373	+	0.824450i	−0.0133827	+	0.0758968i
$119$	−5.70212	−	9.87637i	−0.522713	−	0.905365i
$120$	−0.356215	+	0.298900i	−0.0325179	+	0.0272857i
$121$	−15.2866	+	26.4771i	−1.38969	+	2.40701i
$122$	−1.59363	−	2.76026i	−0.144281	−	0.249902i
$123$	−1.17623	−	0.428112i	−0.106057	−	0.0386016i
$124$	−3.41529	−	2.86577i	−0.306702	−	0.257354i
$125$	0.500000	−	0.866025i	0.0447214	−	0.0774597i
$126$	−1.65102	−	9.36340i	−0.147084	−	0.834158i
$127$	−2.20257	−	12.4914i	−0.195446	−	1.10843i	−0.911782	−	0.410675i	$-0.865293\pi$
$127$	−2.20257	−	12.4914i	−0.195446	−	1.10843i	0.716336	−	0.697756i	$-0.245818\pi$
$128$	0.766044	−	0.642788i	0.0677094	−	0.0568149i
$129$	−2.35005	+	0.855349i	−0.206910	+	0.0753092i
$130$	3.78379	−	1.37719i	0.331860	−	0.120787i
$131$	−13.1620	+	11.0442i	−1.14997	+	0.964940i	−0.999719	−	0.0237075i	$-0.992453\pi$
$131$	−13.1620	+	11.0442i	−1.14997	+	0.964940i	−0.150252	+	0.988648i	$0.548009\pi$
$132$	0.520637	+	2.95268i	0.0453156	+	0.256998i
$133$	−1.14958	−	6.51957i	−0.0996810	−	0.565319i
$134$	−2.38434	+	4.12980i	−0.205976	+	0.356761i
$135$	2.06027	+	1.72877i	0.177320	+	0.148789i
$136$	−3.13764	−	1.14201i	−0.269051	−	0.0979265i
$137$	2.70328	+	4.68221i	0.230956	+	0.400028i	0.958090	−	0.286468i	$-0.0924812\pi$
$137$	2.70328	+	4.68221i	0.230956	+	0.400028i	−0.727133	+	0.686496i	$0.759148\pi$
$138$	1.84801	−	3.20085i	0.157313	−	0.272474i
$139$	−7.94260	+	6.66463i	−0.673682	+	0.565287i	−0.914153	−	0.405370i	$-0.867143\pi$
$139$	−7.94260	+	6.66463i	−0.673682	+	0.565287i	0.240470	+	0.970656i	$0.422698\pi$
$140$	1.70773	+	2.95787i	0.144329	+	0.249986i
$141$	0.770364	−	4.36895i	0.0648764	−	0.367932i
$142$	−6.20503			−0.520715
$143$	4.50835	−	25.5681i	0.377007	−	2.13811i
$144$	−2.13249	−	1.78937i	−0.177708	−	0.149114i
$145$	8.36760	−	3.04556i	0.694892	−	0.252920i
$146$	−10.6589	−	3.87951i	−0.882134	−	0.321071i
$147$	2.16941			0.178930
$148$	0.482426	−	6.06360i	0.0396552	−	0.498425i
$149$	14.2761			1.16954			0.584772	−	0.811198i	$-0.301184\pi$
$149$	14.2761			1.16954			0.584772	+	0.811198i	$0.301184\pi$
$150$	−0.436963	−	0.159041i	−0.0356779	−	0.0129857i
$151$	16.8060	−	6.11689i	1.36765	−	0.497786i	0.449242	−	0.893410i	$-0.351694\pi$
$151$	16.8060	−	6.11689i	1.36765	−	0.497786i	0.918412	+	0.395624i	$0.129472\pi$
$152$	−1.48482	−	1.24591i	−0.120435	−	0.101057i
$153$	−1.61407	+	9.15383i	−0.130490	+	0.740043i
$154$	22.0219			1.77458
$155$	0.774184	−	4.39062i	0.0621840	−	0.352663i
$156$	−0.936202	−	1.62155i	−0.0749561	−	0.129828i
$157$	11.4442	−	9.60279i	0.913343	−	0.766386i	−0.0594088	−	0.998234i	$-0.518922\pi$
$157$	11.4442	−	9.60279i	0.913343	−	0.766386i	0.972752	+	0.231848i	$0.0744771\pi$
$158$	6.25658	−	10.8367i	0.497747	−	0.862123i
$159$	0.700525	+	1.21335i	0.0555553	+	0.0962246i
$160$	0.939693	+	0.342020i	0.0742892	+	0.0270391i
$161$	−20.7959	−	17.4499i	−1.63895	−	1.37524i
$162$	−3.55034	+	6.14937i	−0.278941	+	0.483140i
$163$	−2.48855	−	14.1133i	−0.194918	−	1.10544i	−0.912535	−	0.408998i	$-0.865878\pi$
$163$	−2.48855	−	14.1133i	−0.194918	−	1.10544i	0.717617	−	0.696438i	$-0.245233\pi$
$164$	0.467431	+	2.65093i	0.0365002	+	0.207003i
$165$	−2.29678	+	1.92722i	−0.178804	+	0.150034i
$166$	6.28452	−	2.28738i	0.487773	−	0.177535i
$167$	11.8198	−	4.30204i	0.914641	−	0.332902i	0.158537	−	0.987353i	$-0.449322\pi$
$167$	11.8198	−	4.30204i	0.914641	−	0.332902i	0.756104	+	0.654451i	$0.227100\pi$
$168$	1.21664	−	1.02088i	0.0938656	−	0.0787626i
$169$	0.558051	+	3.16486i	0.0429270	+	0.243451i
$170$	−0.579813	−	3.28828i	−0.0444696	−	0.252200i
$171$	−2.69788	+	4.67286i	−0.206312	+	0.357343i
$172$	4.11990	+	3.45701i	0.314140	+	0.263594i
$173$	14.6934	+	5.34797i	1.11712	+	0.406599i	0.833601	−	0.552367i	$-0.186275\pi$
$173$	14.6934	+	5.34797i	1.11712	+	0.406599i	0.283520	+	0.958966i	$0.408498\pi$
$174$	−2.07035	−	3.58595i	−0.156953	−	0.271850i
$175$	−1.70773	+	2.95787i	−0.129092	+	0.223594i
$176$	4.93924	−	4.14452i	0.372309	−	0.312405i
$177$	0.194644	+	0.337134i	0.0146304	+	0.0253405i
$178$	−0.0213918	+	0.121319i	−0.00160339	+	0.00909326i
$179$	−0.840564			−0.0628267			−0.0314133	−	0.999506i	$-0.510001\pi$
$179$	−0.840564			−0.0628267			−0.0314133	+	0.999506i	$0.510001\pi$
$180$	0.483396	−	2.74148i	0.0360302	−	0.204338i
$181$	16.9139	+	14.1925i	1.25720	+	1.05492i	0.995974	+	0.0896394i	$0.0285715\pi$
$181$	16.9139	+	14.1925i	1.25720	+	1.05492i	0.261227	+	0.965277i	$0.415873\pi$
$182$	−12.9234	+	4.70372i	−0.957943	+	0.348663i
$183$	−1.39272	−	0.506908i	−0.102953	−	0.0374717i
$184$	−7.94833			−0.585959
$185$	5.49245	−	2.61401i	0.403813	−	0.192186i
$186$	−2.07316			−0.152011
$187$	−20.2307	−	7.36336i	−1.47941	−	0.538462i
$188$	−8.96506	+	3.26301i	−0.653844	+	0.237980i
$189$	−7.03675	−	5.90453i	−0.511848	−	0.429492i
$190$	0.336581	−	1.90884i	0.0244181	−	0.138482i
$191$	−5.97289			−0.432183			−0.216092	−	0.976373i	$-0.569331\pi$
$191$	−5.97289			−0.432183			−0.216092	+	0.976373i	$0.569331\pi$
$192$	0.0807474	−	0.457942i	0.00582744	−	0.0330491i
$193$	−2.91379	−	5.04684i	−0.209739	−	0.363279i	0.741893	−	0.670518i	$-0.233928\pi$
$193$	−2.91379	−	5.04684i	−0.209739	−	0.363279i	−0.951632	+	0.307239i	$0.900595\pi$
$194$	5.08495	−	4.26678i	0.365078	−	0.306337i
$195$	0.936202	−	1.62155i	0.0670428	−	0.116122i
$196$	−2.33267	−	4.04030i	−0.166619	−	0.288593i
$197$	−9.63400	−	3.50649i	−0.686394	−	0.249827i	−0.0248035	−	0.999692i	$-0.507896\pi$
$197$	−9.63400	−	3.50649i	−0.686394	−	0.249827i	−0.661590	+	0.749865i	$0.730118\pi$
$198$	−13.7497	−	11.5374i	−0.977149	−	0.819926i
$199$	4.69552	−	8.13288i	0.332857	−	0.576524i	−0.650214	−	0.759751i	$-0.725321\pi$
$199$	4.69552	−	8.13288i	0.332857	−	0.576524i	0.983071	+	0.183227i	$0.0586542\pi$
$200$	0.173648	+	0.984808i	0.0122788	+	0.0696364i
$201$	0.385059	+	2.18378i	0.0271600	+	0.154032i
$202$	11.6843	−	9.80430i	0.822105	−	0.689828i
$203$	−28.5792	+	10.4020i	−2.00586	+	0.730075i
$204$	−1.45902	+	0.531041i	−0.102152	+	0.0371803i
$205$	−2.06206	+	1.73027i	−0.144020	+	0.120847i
$206$	−1.85540	−	10.5225i	−0.129272	−	0.733139i
$207$	3.84219	+	21.7902i	0.267051	+	1.51452i
$208$	−2.01331	+	3.48716i	−0.139598	+	0.241791i
$209$	−9.57369	−	8.03328i	−0.662226	−	0.555674i
$210$	1.49243	+	0.543199i	0.102987	+	0.0374843i
$211$	−7.68243	−	13.3064i	−0.528880	−	0.916047i	−0.999433	−	0.0336754i	$-0.989279\pi$
$211$	−7.68243	−	13.3064i	−0.528880	−	0.916047i	0.470553	−	0.882372i	$-0.344055\pi$
$212$	1.50649	−	2.60931i	0.103466	−	0.179208i
$213$	−2.21033	+	1.85469i	−0.151449	+	0.127081i
$214$	3.15393	+	5.46277i	0.215598	+	0.373427i
$215$	−0.933906	+	5.29644i	−0.0636919	+	0.361214i
$216$	−2.68949			−0.182996
$217$	−2.64419	+	14.9960i	−0.179499	+	1.01799i
$218$	4.72993	+	3.96888i	0.320351	+	0.268806i
$219$	−4.95644	+	1.80400i	−0.334925	+	0.121903i
$220$	6.05888	+	2.20525i	0.408489	+	0.148678i
$221$	13.4449			0.904404
$222$	−1.64056	−	2.30414i	−0.110107	−	0.154644i
$223$	−2.16133			−0.144733			−0.0723666	−	0.997378i	$-0.523055\pi$
$223$	−2.16133			−0.144733			−0.0723666	+	0.997378i	$0.523055\pi$
$224$	−3.20948	−	1.16815i	−0.214442	−	0.0780506i
$225$	2.61589	−	0.952105i	0.174393	−	0.0634737i
$226$	1.70415	+	1.42995i	0.113358	+	0.0951188i
$227$	4.51224	−	25.5902i	0.299488	−	1.69848i	−0.348892	−	0.937163i	$-0.613442\pi$
$227$	4.51224	−	25.5902i	0.299488	−	1.69848i	0.648380	−	0.761317i	$-0.275447\pi$
$228$	−0.901317			−0.0596912
$229$	3.39447	−	19.2510i	0.224313	−	1.27214i	−0.639682	−	0.768640i	$-0.720934\pi$
$229$	3.39447	−	19.2510i	0.224313	−	1.27214i	0.863995	−	0.503501i	$-0.167955\pi$
$230$	−3.97416	−	6.88345i	−0.262049	−	0.453882i
$231$	7.84454	−	6.58235i	0.516133	−	0.433087i
$232$	−4.45231	+	7.71162i	−0.292308	+	0.506293i
$233$	11.5632	+	20.0281i	0.757533	+	1.31208i	0.944105	+	0.329644i	$0.106929\pi$
$233$	11.5632	+	20.0281i	0.757533	+	1.31208i	−0.186573	+	0.982441i	$0.559738\pi$
$234$	10.5332	+	3.83377i	0.688576	+	0.250621i
$235$	−7.30838	−	6.13246i	−0.476746	−	0.400038i
$236$	0.418584	−	0.725009i	0.0272475	−	0.0471941i
$237$	−1.01041	−	5.73030i	−0.0656329	−	0.372223i
$238$	1.98033	+	11.2310i	0.128365	+	0.727997i
$239$	6.94354	−	5.82632i	0.449140	−	0.376873i	−0.389976	−	0.920825i	$-0.627517\pi$
$239$	6.94354	−	5.82632i	0.449140	−	0.376873i	0.839117	+	0.543951i	$0.183072\pi$
$240$	0.436963	−	0.159041i	0.0282058	−	0.0102661i
$241$	0.479253	−	0.174434i	0.0308714	−	0.0112363i	−0.326538	−	0.945184i	$-0.605882\pi$
$241$	0.479253	−	0.174434i	0.0308714	−	0.0112363i	0.357410	+	0.933948i	$0.383660\pi$
$242$	23.4204	−	19.6520i	1.50552	−	1.26328i
$243$	1.97444	+	11.1976i	0.126660	+	0.718325i
$244$	0.553463	+	3.13885i	0.0354319	+	0.200944i
$245$	2.33267	−	4.04030i	0.149029	−	0.258125i
$246$	0.958870	+	0.804587i	0.0611353	+	0.0512986i
$247$	7.33408	+	2.66939i	0.466657	+	0.169849i
$248$	2.22917	+	3.86104i	0.141553	+	0.245176i
$249$	1.55494	−	2.69324i	0.0985406	−	0.170677i
$250$	−0.766044	+	0.642788i	−0.0484489	+	0.0406535i
$251$	10.1259	+	17.5386i	0.639143	+	1.10703i	0.985621	+	0.168970i	$0.0540440\pi$
$251$	10.1259	+	17.5386i	0.639143	+	1.10703i	−0.346479	+	0.938058i	$0.612623\pi$
$252$	−1.65102	+	9.36340i	−0.104004	+	0.589838i
$253$	−51.2486			−3.22197
$254$	−2.20257	+	12.4914i	−0.138201	+	0.783779i
$255$	−1.18941	−	0.998031i	−0.0744835	−	0.0624991i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	9.87860	+	3.59552i	0.616210	+	0.224282i	0.631218	−	0.775605i	$-0.282555\pi$
$257$	9.87860	+	3.59552i	0.616210	+	0.224282i	−0.0150082	+	0.999887i	$0.504777\pi$
$258$	2.50087			0.155697
$259$	−18.7592	+	8.92803i	−1.16564	+	0.554761i
$260$	−4.02662			−0.249721
$261$	23.2935	+	8.47813i	1.44183	+	0.524783i
$262$	16.1456	−	5.87652i	0.997479	−	0.363053i
$263$	19.9964	+	16.7790i	1.23303	+	1.03464i	0.998036	+	0.0626405i	$0.0199522\pi$
$263$	19.9964	+	16.7790i	1.23303	+	1.03464i	0.234996	+	0.971996i	$0.424492\pi$
$264$	0.520637	−	2.95268i	0.0320430	−	0.181725i
$265$	3.01297			0.185086
$266$	−1.14958	+	6.51957i	−0.0704851	+	0.399741i
$267$	0.0286422	+	0.0496098i	0.00175288	+	0.00303607i
$268$	3.65303	−	3.06525i	0.223144	−	0.187240i
$269$	12.6131	−	21.8465i	0.769033	−	1.33200i	−0.169054	−	0.985607i	$-0.554071\pi$
$269$	12.6131	−	21.8465i	0.769033	−	1.33200i	0.938088	−	0.346398i	$-0.112595\pi$
$270$	−1.34474	−	2.32916i	−0.0818385	−	0.141748i
$271$	6.46836	+	2.35429i	0.392925	+	0.143013i	0.530924	−	0.847419i	$-0.321845\pi$
$271$	6.46836	+	2.35429i	0.392925	+	0.143013i	−0.137999	+	0.990432i	$0.544067\pi$
$272$	2.55783	+	2.14628i	0.155091	+	0.130137i
$273$	−3.19756	+	5.53833i	−0.193525	+	0.335195i
$274$	−0.938838	−	5.32441i	−0.0567173	−	0.321660i
$275$	1.11964	+	6.34977i	0.0675166	+	0.382905i
$276$	−2.83132	+	2.37576i	−0.170425	+	0.143004i
$277$	−3.83470	+	1.39572i	−0.230405	+	0.0838605i	−0.454643	−	0.890674i	$-0.650233\pi$
$277$	−3.83470	+	1.39572i	−0.230405	+	0.0838605i	0.224238	+	0.974534i	$0.428011\pi$
$278$	9.74304	−	3.54618i	0.584349	−	0.212685i
$279$	9.50739	−	7.97765i	0.569192	−	0.477609i
$280$	−0.593088	−	3.36357i	−0.0354438	−	0.201012i
$281$	−4.64690	−	26.3539i	−0.277211	−	1.57214i	−0.731851	−	0.681465i	$-0.761343\pi$
$281$	−4.64690	−	26.3539i	−0.277211	−	1.57214i	0.454640	−	0.890675i	$-0.349768\pi$
$282$	−2.21818	+	3.84199i	−0.132090	+	0.228787i
$283$	−11.7408	−	9.85170i	−0.697918	−	0.585623i	0.223263	−	0.974758i	$-0.428329\pi$
$283$	−11.7408	−	9.85170i	−0.697918	−	0.585623i	−0.921180	+	0.389136i	$0.872774\pi$
$284$	5.83082	+	2.12225i	0.345996	+	0.125932i
$285$	−0.450659	−	0.780564i	−0.0266947	−	0.0462366i
$286$	−12.9813	+	22.4842i	−0.767599	+	1.32952i
$287$	7.04287	−	5.90967i	0.415727	−	0.348837i
$288$	1.39188	+	2.41082i	0.0820176	+	0.142059i
$289$	−1.01602	+	5.76211i	−0.0597656	+	0.338948i
$290$	−8.90462			−0.522897
$291$	0.535996	−	3.03978i	0.0314206	−	0.178195i
$292$	8.68919	+	7.29110i	0.508496	+	0.426679i
$293$	−28.6904	+	10.4425i	−1.67611	+	0.610055i	−0.992769	−	0.120043i	$-0.961697\pi$
$293$	−28.6904	+	10.4425i	−1.67611	+	0.610055i	−0.683343	+	0.730098i	$0.739475\pi$
$294$	−2.03858	−	0.741982i	−0.118892	−	0.0432733i
$295$	0.837169			0.0487418
$296$	−2.52721	+	5.53292i	−0.146891	+	0.321595i
$297$	−17.3411			−1.00623
$298$	−13.4152	−	4.88272i	−0.777119	−	0.282848i
$299$	30.0748	−	10.9463i	1.73927	−	0.633042i
$300$	0.356215	+	0.298900i	0.0205661	+	0.0172570i
$301$	3.18971	−	18.0898i	0.183852	−	1.04268i
$302$	−17.8846			−1.02914
$303$	1.23162	−	6.98488i	0.0707549	−	0.401271i
$304$	0.969146	+	1.67861i	0.0555843	+	0.0962749i
$305$	−2.44159	+	2.04874i	−0.139805	+	0.117310i
$306$	4.64752	−	8.04974i	0.265681	−	0.460173i
$307$	0.845825	+	1.46501i	0.0482738	+	0.0836126i	0.889153	−	0.457611i	$-0.151295\pi$
$307$	0.845825	+	1.46501i	0.0482738	+	0.0836126i	−0.840879	+	0.541223i	$0.817961\pi$
$308$	−20.6938	−	7.53194i	−1.17914	−	0.429172i
$309$	−3.80611	−	3.19370i	−0.216522	−	0.181683i
$310$	−2.22917	+	3.86104i	−0.126609	+	0.219292i
$311$	1.70733	+	9.68273i	0.0968136	+	0.549057i	0.994177	+	0.107764i	$0.0343690\pi$
$311$	1.70733	+	9.68273i	0.0968136	+	0.549057i	−0.897363	+	0.441293i	$0.854520\pi$
$312$	0.325139	+	1.84396i	0.0184074	+	0.104394i
$313$	6.16868	−	5.17614i	0.348674	−	0.292573i	−0.451583	−	0.892229i	$-0.649141\pi$
$313$	6.16868	−	5.17614i	0.348674	−	0.292573i	0.800258	+	0.599656i	$0.204696\pi$
$314$	−14.0383	+	5.10954i	−0.792229	+	0.288348i
$315$	−8.93445	+	3.25187i	−0.503399	+	0.183222i
$316$	−9.58564	+	8.04330i	−0.539234	+	0.452471i
$317$	3.61472	+	20.5001i	0.203023	+	1.15140i	0.900520	+	0.434814i	$0.143186\pi$
$317$	3.61472	+	20.5001i	0.203023	+	1.15140i	−0.697497	+	0.716587i	$0.745703\pi$
$318$	−0.243290	−	1.37977i	−0.0136430	−	0.0773734i
$319$	−28.7073	+	49.7224i	−1.60730	+	2.78392i
$320$	−0.766044	−	0.642788i	−0.0428232	−	0.0359329i
$321$	2.75630	+	1.00321i	0.153842	+	0.0559938i
$322$	13.5736	+	23.5101i	0.756426	+	1.31017i
$323$	3.23599	−	5.60490i	0.180055	−	0.311865i
$324$	5.43944	−	4.56423i	0.302191	−	0.253568i
$325$	−2.01331	−	3.48716i	−0.111678	−	0.193433i
$326$	−2.48855	+	14.1133i	−0.137828	+	0.781661i
$327$	2.87117			0.158776
$328$	0.467431	−	2.65093i	0.0258095	−	0.146373i
$329$	24.9615	+	20.9451i	1.37617	+	1.15474i
$330$	2.81741	−	1.02545i	0.155094	−	0.0564494i
$331$	9.25015	+	3.36678i	0.508434	+	0.185055i	0.583484	−	0.812125i	$-0.301689\pi$
$331$	9.25015	+	3.36678i	0.508434	+	0.185055i	−0.0750494	+	0.997180i	$0.523911\pi$
$332$	−6.68785			−0.367043
$333$	16.3900	+	4.25368i	0.898168	+	0.233100i
$334$	−12.5783			−0.688256
$335$	4.48110	+	1.63099i	0.244829	+	0.0891103i
$336$	−1.49243	+	0.543199i	−0.0814185	+	0.0296339i
$337$	8.95226	+	7.51184i	0.487661	+	0.409196i	0.853187	−	0.521605i	$-0.174667\pi$
$337$	8.95226	+	7.51184i	0.487661	+	0.409196i	−0.365526	+	0.930801i	$0.619111\pi$
$338$	0.558051	−	3.16486i	0.0303540	−	0.172146i
$339$	1.03445			0.0561839
$340$	−0.579813	+	3.28828i	−0.0314448	+	0.178332i
$341$	14.3731	+	24.8949i	0.778347	+	1.34814i
$342$	4.13339	−	3.46833i	0.223508	−	0.187546i
$343$	3.98697	−	6.90563i	0.215276	−	0.372869i
$344$	−2.68907	−	4.65761i	−0.144985	−	0.251122i
$345$	−3.47312	−	1.26411i	−0.186987	−	0.0680576i
$346$	−11.9782	−	10.0509i	−0.643952	−	0.540340i
$347$	6.93394	−	12.0099i	0.372234	−	0.644727i	−0.617675	−	0.786433i	$-0.711925\pi$
$347$	6.93394	−	12.0099i	0.372234	−	0.644727i	0.989909	+	0.141706i	$0.0452587\pi$
$348$	0.719025	+	4.07779i	0.0385438	+	0.218593i
$349$	2.79697	+	15.8624i	0.149718	+	0.849094i	0.963457	+	0.267863i	$0.0863175\pi$
$349$	2.79697	+	15.8624i	0.149718	+	0.849094i	−0.813739	+	0.581231i	$0.802571\pi$
$350$	2.61639	−	2.19541i	0.139852	−	0.117350i
$351$	10.1764	−	3.70392i	0.543179	−	0.197701i
$352$	−6.05888	+	2.20525i	−0.322939	+	0.117540i
$353$	−1.52274	+	1.27773i	−0.0810473	+	0.0680067i	−0.682411	−	0.730968i	$-0.739069\pi$
$353$	−1.52274	+	1.27773i	−0.0810473	+	0.0680067i	0.601364	+	0.798975i	$0.294624\pi$
$354$	−0.0675992	−	0.383374i	−0.00359286	−	0.0203761i
$355$	1.07749	+	6.11077i	0.0571874	+	0.324326i
$356$	0.0615954	−	0.106686i	0.00326455	−	0.00565436i
$357$	4.06237	+	3.40873i	0.215003	+	0.180409i
$358$	0.789872	+	0.287490i	0.0417460	+	0.0151943i
$359$	8.11712	+	14.0593i	0.428405	+	0.742020i	0.996732	−	0.0807833i	$-0.0257422\pi$
$359$	8.11712	+	14.0593i	0.428405	+	0.742020i	−0.568326	+	0.822803i	$0.692409\pi$
$360$	−1.39188	+	2.41082i	−0.0733588	+	0.127061i
$361$	−11.6768	+	9.79803i	−0.614570	+	0.515686i
$362$	−11.0398	−	19.1214i	−0.580237	−	1.00500i
$363$	2.46870	−	14.0007i	0.129573	−	0.734846i
$364$	13.7527			0.720840
$365$	−1.96968	+	11.1706i	−0.103098	+	0.584696i
$366$	1.13535	+	0.952675i	0.0593459	+	0.0497971i
$367$	−0.761185	+	0.277049i	−0.0397335	+	0.0144618i	−0.361810	−	0.932252i	$-0.617841\pi$
$367$	−0.761185	+	0.277049i	−0.0397335	+	0.0144618i	0.322077	+	0.946713i	$0.395619\pi$
$368$	7.46899	+	2.71849i	0.389348	+	0.141711i
$369$	−7.49342			−0.390092
$370$	−6.05525	+	0.577836i	−0.314798	+	0.0300403i
$371$	−10.2907			−0.534265
$372$	1.94813	+	0.709062i	0.101006	+	0.0367632i
$373$	7.11696	−	2.59036i	0.368502	−	0.134124i	−0.151130	−	0.988514i	$-0.548291\pi$
$373$	7.11696	−	2.59036i	0.368502	−	0.134124i	0.519632	+	0.854390i	$0.326069\pi$
$374$	16.4922	+	13.8386i	0.852791	+	0.715576i
$375$	−0.0807474	+	0.457942i	−0.00416978	+	0.0236480i
$376$	9.54042			0.492009
$377$	6.22625	−	35.3108i	0.320668	−	1.81860i
$378$	4.59291	+	7.95516i	0.236234	+	0.409169i
$379$	7.58335	−	6.36319i	0.389531	−	0.326855i	−0.426900	−	0.904299i	$-0.640394\pi$
$379$	7.58335	−	6.36319i	0.389531	−	0.326855i	0.816430	+	0.577444i	$0.195950\pi$
$380$	−0.969146	+	1.67861i	−0.0497161	+	0.0861109i
$381$	2.94909	+	5.10797i	0.151086	+	0.261689i
$382$	5.61269	+	2.04285i	0.287170	+	0.104521i
$383$	−18.9005	−	15.8594i	−0.965770	−	0.810377i	0.0161120	−	0.999870i	$-0.494871\pi$
$383$	−18.9005	−	15.8594i	−0.965770	−	0.810377i	−0.981882	+	0.189493i	$0.939316\pi$
$384$	−0.232503	+	0.402707i	−0.0118649	+	0.0205506i
$385$	−3.82406	−	21.6873i	−0.194892	−	1.10529i
$386$	1.01195	+	5.73905i	0.0515069	+	0.292110i
$387$	−11.4689	+	9.62351i	−0.582995	+	0.489191i
$388$	−6.23761	+	2.27031i	−0.316667	+	0.115257i
$389$	−24.9209	+	9.07046i	−1.26354	+	0.459890i	−0.884955	−	0.465677i	$-0.845811\pi$
$389$	−24.9209	+	9.07046i	−1.26354	+	0.459890i	−0.378584	+	0.925567i	$0.623589\pi$
$390$	−1.43434	+	1.20356i	−0.0726308	+	0.0609445i
$391$	−4.60855	−	26.1364i	−0.233064	−	1.32177i
$392$	0.810127	+	4.59446i	0.0409176	+	0.232055i
$393$	3.99482	−	6.91923i	0.201512	−	0.349029i
$394$	7.85371	+	6.59004i	0.395664	+	0.332002i
$395$	−11.7585	−	4.27975i	−0.591636	−	0.215338i
$396$	8.97449	+	15.5443i	0.450985	+	0.781129i
$397$	6.82541	−	11.8220i	0.342558	−	0.593327i	−0.642349	−	0.766412i	$-0.722040\pi$
$397$	6.82541	−	11.8220i	0.342558	−	0.593327i	0.984907	+	0.173085i	$0.0553735\pi$
$398$	−7.19395	+	6.03644i	−0.360600	+	0.302580i
$399$	1.53920	+	2.66598i	0.0770566	+	0.133466i
$400$	0.173648	−	0.984808i	0.00868241	−	0.0492404i
$401$	−8.82527			−0.440713			−0.220357	−	0.975419i	$-0.570722\pi$
$401$	−8.82527			−0.440713			−0.220357	+	0.975419i	$0.570722\pi$
$402$	0.385059	−	2.18378i	0.0192050	−	0.108917i
$403$	−13.7521	−	11.5394i	−0.685041	−	0.574817i
$404$	−14.3329	+	5.21676i	−0.713090	+	0.259543i
$405$	6.67246	+	2.42858i	0.331557	+	0.120677i
$406$	30.4133			1.50939
$407$	−16.2947	+	35.6747i	−0.807700	+	1.76833i
$408$	1.55266			0.0768681
$409$	−18.5445	−	6.74964i	−0.916966	−	0.333748i	−0.159935	−	0.987128i	$-0.551128\pi$
$409$	−18.5445	−	6.74964i	−0.916966	−	0.333748i	−0.757031	+	0.653379i	$0.773351\pi$
$410$	2.52949	−	0.920659i	0.124923	−	0.0454681i
$411$	−1.92590	−	1.61602i	−0.0949975	−	0.0797123i
$412$	−1.85540	+	10.5225i	−0.0914092	+	0.518407i
$413$	−2.85931			−0.140698
$414$	3.84219	−	21.7902i	0.188834	−	1.07093i
$415$	−3.34392	−	5.79185i	−0.164147	−	0.284311i
$416$	3.08457	−	2.58826i	0.151234	−	0.126900i
$417$	2.41067	−	4.17540i	0.118051	−	0.204470i
$418$	6.24878	+	10.8232i	0.305638	+	0.529381i
$419$	−33.4581	−	12.1778i	−1.63454	−	0.594922i	−0.648464	−	0.761245i	$-0.724588\pi$
$419$	−33.4581	−	12.1778i	−1.63454	−	0.594922i	−0.986071	+	0.166323i	$0.946811\pi$
$420$	−1.21664	−	1.02088i	−0.0593658	−	0.0498138i
$421$	0.686149	−	1.18844i	0.0334408	−	0.0579212i	−0.848821	−	0.528681i	$-0.822687\pi$
$421$	0.686149	−	1.18844i	0.0334408	−	0.0579212i	0.882261	+	0.470760i	$0.156020\pi$
$422$	2.66808	+	15.1314i	0.129880	+	0.736586i
$423$	−4.61180	−	26.1548i	−0.224234	−	1.27169i
$424$	−2.30807	+	1.93670i	−0.112090	+	0.0940546i
$425$	−3.13764	+	1.14201i	−0.152198	+	0.0553956i
$426$	2.71137	−	0.986857i	0.131366	−	0.0478134i
$427$	8.33914	−	6.99737i	0.403559	−	0.338626i
$428$	−1.09535	−	6.21203i	−0.0529457	−	0.300270i
$429$	2.09641	+	11.8893i	0.101216	+	0.574022i
$430$	2.68907	−	4.65761i	0.129679	−	0.224610i
$431$	28.4355	+	23.8602i	1.36969	+	1.14931i	0.972855	+	0.231417i	$0.0743361\pi$
$431$	28.4355	+	23.8602i	1.36969	+	1.14931i	0.396836	+	0.917890i	$0.370108\pi$
$432$	2.52729	+	0.919859i	0.121594	+	0.0442567i
$433$	9.89222	+	17.1338i	0.475390	+	0.823399i	0.999603	−	0.0281880i	$-0.00897369\pi$
$433$	9.89222	+	17.1338i	0.475390	+	0.823399i	−0.524213	+	0.851587i	$0.675640\pi$
$434$	7.61364	−	13.1872i	0.365467	−	0.633007i
$435$	−3.17196	+	2.66159i	−0.152084	+	0.127614i
$436$	−3.08724	−	5.34726i	−0.147852	−	0.256087i
$437$	2.67526	−	15.1721i	0.127975	−	0.725781i
$438$	5.27453			0.252027
$439$	4.46165	−	25.3033i	0.212943	−	1.20766i	−0.671498	−	0.741006i	$-0.734349\pi$
$439$	4.46165	−	25.3033i	0.212943	−	1.20766i	0.884441	−	0.466652i	$-0.154540\pi$
$440$	−4.93924	−	4.14452i	−0.235469	−	0.197582i
$441$	12.2040	−	4.44189i	0.581143	−	0.211519i
$442$	−12.6341	−	4.59844i	−0.600943	−	0.218725i
$443$	−12.7217			−0.604426			−0.302213	−	0.953240i	$-0.597725\pi$
$443$	−12.7217			−0.604426			−0.302213	+	0.953240i	$0.597725\pi$
$444$	0.753561	+	2.72629i	0.0357624	+	0.129384i
$445$	0.123191			0.00583980
$446$	2.03098	+	0.739217i	0.0961698	+	0.0350030i
$447$	−6.23813	+	2.27049i	−0.295053	+	0.107391i
$448$	2.61639	+	2.19541i	0.123613	+	0.103723i
$449$	3.22173	−	18.2714i	0.152043	−	0.862279i	−0.809397	−	0.587262i	$-0.800206\pi$
$449$	3.22173	−	18.2714i	0.152043	−	0.862279i	0.961440	−	0.275016i	$-0.0886832\pi$
$450$	−2.78377			−0.131228
$451$	3.01386	−	17.0925i	0.141917	−	0.804853i
$452$	−1.11230	−	1.92656i	−0.0523183	−	0.0906180i
$453$	−6.37077	+	5.34571i	−0.299325	+	0.251163i
$454$	−12.9925	+	22.5036i	−0.609767	+	1.05615i
$455$	6.87637	+	11.9102i	0.322369	+	0.558360i
$456$	0.846961	+	0.308269i	0.0396626	+	0.0144360i
$457$	18.5771	+	15.5881i	0.869002	+	0.729179i	0.963888	−	0.266309i	$-0.0858041\pi$
$457$	18.5771	+	15.5881i	0.869002	+	0.729179i	−0.0948856	+	0.995488i	$0.530249\pi$
$458$	−9.77398	+	16.9290i	−0.456708	+	0.791042i
$459$	−1.55940	−	8.84380i	−0.0727866	−	0.412793i
$460$	1.38021	+	7.82758i	0.0643528	+	0.364963i
$461$	14.0592	−	11.7971i	0.654802	−	0.549444i	−0.253722	−	0.967277i	$-0.581655\pi$
$461$	14.0592	−	11.7971i	0.654802	−	0.549444i	0.908524	+	0.417833i	$0.137210\pi$
$462$	−9.62275	+	3.50240i	−0.447691	+	0.162946i
$463$	21.8496	−	7.95262i	1.01544	−	0.369590i	0.219920	−	0.975518i	$-0.429420\pi$
$463$	21.8496	−	7.95262i	1.01544	−	0.369590i	0.795519	+	0.605928i	$0.207198\pi$
$464$	6.82133	−	5.72378i	0.316672	−	0.265720i
$465$	0.360000	+	2.04166i	0.0166946	+	0.0946798i
$466$	−4.01587	−	22.7751i	−0.186032	−	1.05504i
$467$	−17.2683	+	29.9096i	−0.799081	+	1.38405i	0.121134	+	0.992636i	$0.461347\pi$
$467$	−17.2683	+	29.9096i	−0.799081	+	1.38405i	−0.920215	+	0.391413i	$0.871986\pi$
$468$	−8.58674	−	7.20513i	−0.396922	−	0.333057i
$469$	−15.3050	−	5.57056i	−0.706719	−	0.257225i
$470$	4.77021	+	8.26224i	0.220033	+	0.381109i
$471$	−3.47343	+	6.01616i	−0.160047	+	0.277210i
$472$	−0.641308	+	0.538122i	−0.0295186	+	0.0247691i
$473$	−17.3384	−	30.0310i	−0.797221	−	1.38083i
$474$	−1.01041	+	5.73030i	−0.0464095	+	0.263201i
$475$	−1.93829			−0.0889349
$476$	1.98033	−	11.2310i	0.0907681	−	0.514772i
$477$	6.42514	+	5.39133i	0.294187	+	0.246852i
$478$	−8.51751	+	3.10012i	−0.389582	+	0.141796i
$479$	32.0643	+	11.6705i	1.46506	+	0.533237i	0.946753	−	0.321960i	$-0.104342\pi$
$479$	32.0643	+	11.6705i	1.46506	+	0.533237i	0.518304	+	0.855197i	$0.326564\pi$
$480$	−0.465006			−0.0212245
$481$	1.94255	−	24.4158i	0.0885726	−	1.11327i
$482$	−0.510010			−0.0232303
$483$	11.8623	+	4.31752i	0.539753	+	0.196454i
$484$	−28.7293	+	10.4566i	−1.30588	+	0.475301i
$485$	−5.08495	−	4.26678i	−0.230896	−	0.193744i
$486$	1.97444	−	11.1976i	0.0895622	−	0.507933i
$487$	26.1491			1.18493			0.592465	−	0.805596i	$-0.298155\pi$
$487$	26.1491			1.18493			0.592465	+	0.805596i	$0.298155\pi$
$488$	0.553463	−	3.13885i	0.0250541	−	0.142089i
$489$	3.33200	+	5.77119i	0.150678	+	0.260982i
$490$	−3.57385	+	2.99882i	−0.161450	+	0.135473i
$491$	−16.4421	+	28.4786i	−0.742023	+	1.28522i	0.209550	+	0.977798i	$0.432800\pi$
$491$	−16.4421	+	28.4786i	−0.742023	+	1.28522i	−0.951573	+	0.307424i	$0.900533\pi$
$492$	−0.625858	−	1.08402i	−0.0282158	−	0.0488713i
$493$	−27.9395	−	10.1692i	−1.25833	−	0.457996i
$494$	−5.97880	−	5.01681i	−0.268999	−	0.225717i
$495$	−8.97449	+	15.5443i	−0.403373	+	0.698663i
$496$	−0.774184	−	4.39062i	−0.0347619	−	0.197144i
$497$	−3.68013	−	20.8710i	−0.165076	−	0.936194i
$498$	−2.38231	+	1.99900i	−0.106754	+	0.0895773i
$499$	13.8460	−	5.03954i	0.619833	−	0.225601i	−0.0129673	−	0.999916i	$-0.504128\pi$
$499$	13.8460	−	5.03954i	0.619833	−	0.225601i	0.632800	+	0.774315i	$0.281906\pi$
$500$	0.939693	−	0.342020i	0.0420243	−	0.0152956i
$501$	−4.48059	+	3.75967i	−0.200178	+	0.167969i
$502$	−3.51670	−	19.9442i	−0.156958	−	0.890152i
$503$	1.33452	+	7.56841i	0.0595031	+	0.337459i	0.999997	−	0.00235102i	$-0.000748353\pi$
$503$	1.33452	+	7.56841i	0.0595031	+	0.337459i	−0.940494	+	0.339810i	$0.889637\pi$
$504$	4.75392	−	8.23403i	0.211756	−	0.366773i
$505$	−11.6843	−	9.80430i	−0.519945	−	0.436286i
$506$	48.1580	+	17.5281i	2.14088	+	0.779217i
$507$	−0.747192	−	1.29417i	−0.0331840	−	0.0574763i
$508$	6.34204	−	10.9847i	0.281383	−	0.487369i
$509$	14.8599	−	12.4690i	0.658655	−	0.552677i	−0.251028	−	0.967980i	$-0.580769\pi$
$509$	14.8599	−	12.4690i	0.658655	−	0.552677i	0.909683	+	0.415302i	$0.136324\pi$
$510$	0.776330	+	1.34464i	0.0343765	+	0.0595418i
$511$	6.72735	−	38.1527i	0.297601	−	1.68778i
$512$	1.00000			0.0441942
$513$	0.905230	−	5.13381i	0.0399669	−	0.226663i
$514$	−8.05311	−	6.75736i	−0.355207	−	0.298054i
$515$	−10.0405	+	3.65443i	−0.442436	+	0.161034i
$516$	−2.35005	−	0.855349i	−0.103455	−	0.0376546i
$517$	61.5140			2.70538
$518$	20.6815	−	1.97357i	0.908691	−	0.0867138i
$519$	−7.27103			−0.319163
$520$	3.78379	+	1.37719i	0.165930	+	0.0603936i
$521$	26.7579	−	9.73907i	1.17228	−	0.426676i	0.318813	−	0.947818i	$-0.396716\pi$
$521$	26.7579	−	9.73907i	1.17228	−	0.426676i	0.853470	+	0.521141i	$0.174494\pi$
$522$	−18.9890	−	15.9337i	−0.831127	−	0.697398i
$523$	−2.58381	+	14.6535i	−0.112982	+	0.640754i	0.874747	+	0.484579i	$0.161027\pi$
$523$	−2.58381	+	14.6535i	−0.112982	+	0.640754i	−0.987729	+	0.156174i	$0.950084\pi$
$524$	−17.1818			−0.750590
$525$	0.275789	−	1.56408i	0.0120364	−	0.0682620i
$526$	−13.0517	−	22.6063i	−0.569083	−	0.985680i
$527$	−11.4037	+	9.56884i	−0.496753	+	0.416825i
$528$	−1.49911	+	2.59654i	−0.0652406	+	0.113000i
$529$	−20.0880	−	34.7934i	−0.873390	−	1.51276i
$530$	−2.83127	−	1.03050i	−0.122982	−	0.0447620i
$531$	1.78525	+	1.49801i	0.0774735	+	0.0650079i
$532$	3.31007	−	5.73322i	0.143510	−	0.248567i
$533$	1.88217	+	10.6743i	0.0815257	+	0.462355i
$534$	−0.00994734	−	0.0564142i	−0.000430463	−	0.00244128i
$535$	4.83210	−	4.05462i	0.208910	−	0.175296i
$536$	−4.48110	+	1.63099i	−0.193554	+	0.0704479i
$537$	0.367295	−	0.133684i	0.0158500	−	0.00576891i
$538$	−19.3244	+	16.2151i	−0.833133	+	0.699081i
$539$	5.22348	+	29.6238i	0.224991	+	1.27599i
$540$	0.467025	+	2.64863i	0.0200975	+	0.113979i
$541$	−16.1652	+	27.9990i	−0.694997	+	1.20377i	0.275185	+	0.961391i	$0.411261\pi$
$541$	−16.1652	+	27.9990i	−0.694997	+	1.20377i	−0.970182	+	0.242378i	$0.922072\pi$
$542$	−5.27306	−	4.42462i	−0.226497	−	0.190054i
$543$	−9.64794	−	3.51156i	−0.414033	−	0.150696i
$544$	−1.66951	−	2.89167i	−0.0715795	−	0.123979i
$545$	3.08724	−	5.34726i	0.132243	−	0.229051i
$546$	4.89894	−	4.11070i	0.209655	−	0.175922i
$547$	−7.58290	−	13.1340i	−0.324221	−	0.561568i	0.657133	−	0.753775i	$-0.271769\pi$
$547$	−7.58290	−	13.1340i	−0.324221	−	0.561568i	−0.981354	+	0.192207i	$0.938436\pi$
$548$	−0.938838	+	5.32441i	−0.0401052	+	0.227448i
$549$	−8.87262			−0.378674
$550$	1.11964	−	6.34977i	0.0477414	−	0.270755i
$551$	−13.2217	−	11.0944i	−0.563265	−	0.472635i
$552$	3.47312	−	1.26411i	0.147826	−	0.0538042i
$553$	40.1607	+	14.6173i	1.70781	+	0.621591i
$554$	4.08080			0.173377
$555$	−1.98426	+	2.01575i	−0.0842271	+	0.0855638i
$556$	−10.3683			−0.439715
$557$	10.9655	+	3.99113i	0.464625	+	0.169110i	0.563716	−	0.825969i	$-0.309371\pi$
$557$	10.9655	+	3.99113i	0.464625	+	0.169110i	−0.0990911	+	0.995078i	$0.531594\pi$
$558$	−11.6625	+	4.24482i	−0.493715	+	0.179697i
$559$	16.5893	+	13.9201i	0.701652	+	0.588756i
$560$	−0.593088	+	3.36357i	−0.0250625	+	0.142137i
$561$	10.0111			0.422670
$562$	−4.64690	+	26.3539i	−0.196018	+	1.11167i
$563$	−7.54671	−	13.0713i	−0.318056	−	0.550889i	0.662026	−	0.749480i	$-0.269697\pi$
$563$	−7.54671	−	13.0713i	−0.318056	−	0.550889i	−0.980082	+	0.198591i	$0.936363\pi$
$564$	3.39844	−	2.85163i	0.143100	−	0.120075i
$565$	1.11230	−	1.92656i	0.0467949	−	0.0810512i
$566$	7.66326	+	13.2732i	0.322111	+	0.557912i
$567$	−22.7895	−	8.29469i	−0.957068	−	0.348344i
$568$	−4.75333	−	3.98852i	−0.199445	−	0.167355i
$569$	8.78068	−	15.2086i	0.368105	−	0.637577i	−0.621164	−	0.783681i	$-0.713340\pi$
$569$	8.78068	−	15.2086i	0.368105	−	0.637577i	0.989269	+	0.146103i	$0.0466732\pi$
$570$	0.156512	+	0.887624i	0.00655557	+	0.0371785i
$571$	5.18900	+	29.4283i	0.217153	+	1.23154i	0.877131	+	0.480251i	$0.159454\pi$
$571$	5.18900	+	29.4283i	0.217153	+	1.23154i	−0.659978	+	0.751285i	$0.729434\pi$
$572$	19.8885	−	16.6884i	0.831578	−	0.697777i
$573$	2.60993	−	0.949938i	0.109031	−	0.0396842i
$574$	−8.63936	+	3.14447i	−0.360600	+	0.131248i
$575$	−6.08877	+	5.10909i	−0.253919	+	0.213064i
$576$	−0.483396	−	2.74148i	−0.0201415	−	0.114228i
$577$	0.121296	+	0.687905i	0.00504962	+	0.0286378i	0.987228	−	0.159311i	$-0.0509272\pi$
$577$	0.121296	+	0.687905i	0.00504962	+	0.0286378i	−0.982179	+	0.187949i	$0.939816\pi$
$578$	2.92550	−	5.06712i	0.121685	−	0.210764i
$579$	2.07587	+	1.74187i	0.0862704	+	0.0723895i
$580$	8.36760	+	3.04556i	0.347446	+	0.126460i
$581$	11.4210	+	19.7818i	0.473824	+	0.820687i
$582$	−1.54334	+	2.67314i	−0.0639734	+	0.110805i
$583$	−14.8818	+	12.4873i	−0.616342	+	0.517172i
$584$	−5.67147	−	9.82327i	−0.234687	−	0.406490i
$585$	1.94646	−	11.0389i	0.0804760	−	0.456402i
$586$	30.5317			1.26125
$587$	−0.00438749	+	0.0248827i	−0.000181091	+	0.00102702i	−0.984898	−	0.173135i	$-0.944610\pi$
$587$	−0.00438749	+	0.0248827i	−0.000181091	+	0.00102702i	0.984717	+	0.174162i	$0.0557215\pi$
$588$	1.66186	+	1.39447i	0.0685341	+	0.0575069i
$589$	−8.12043	+	2.95559i	−0.334596	+	0.121783i
$590$	−0.786681	−	0.286329i	−0.0323872	−	0.0117880i
$591$	4.76737			0.196104
$592$	4.26717	−	4.33489i	0.175380	−	0.178163i
$593$	26.5580			1.09061			0.545304	−	0.838239i	$-0.316414\pi$
$593$	26.5580			1.09061			0.545304	+	0.838239i	$0.316414\pi$
$594$	16.2953	+	5.93100i	0.668603	+	0.243352i
$595$	10.7165	−	3.90048i	0.439333	−	0.159904i
$596$	10.9361	+	9.17651i	0.447962	+	0.375884i
$597$	−0.758302	+	4.30055i	−0.0310352	+	0.176010i
$598$	−32.0049			−1.30878
$599$	−1.20313	+	6.82328i	−0.0491585	+	0.278792i	−0.999472	−	0.0325040i	$-0.989652\pi$
$599$	−1.20313	+	6.82328i	−0.0491585	+	0.278792i	0.950313	+	0.311296i	$0.100763\pi$
$600$	−0.232503	−	0.402707i	−0.00949190	−	0.0164404i
$601$	−24.8797	+	20.8765i	−1.01486	+	0.851571i	−0.988973	−	0.148094i	$-0.952686\pi$
$601$	−24.8797	+	20.8765i	−1.01486	+	0.851571i	−0.0258892	+	0.999665i	$0.508242\pi$
$602$	−9.18442	+	15.9079i	−0.374329	+	0.648357i
$603$	6.63746	+	11.4964i	0.270298	+	0.468170i
$604$	16.8060	+	6.11689i	0.683827	+	0.248893i
$605$	−23.4204	−	19.6520i	−0.952174	−	0.798969i
$606$	−3.54632	+	6.14240i	−0.144059	+	0.249518i
$607$	−7.86623	−	44.6116i	−0.319281	−	1.81073i	−0.547145	−	0.837038i	$-0.684286\pi$
$607$	−7.86623	−	44.6116i	−0.319281	−	1.81073i	0.227865	−	0.973693i	$-0.426826\pi$
$608$	−0.336581	−	1.90884i	−0.0136502	−	0.0774139i
$609$	10.8337	−	9.09054i	0.439003	−	0.368367i
$610$	2.99505	−	1.09011i	0.121266	−	0.0441373i
$611$	−36.0989	+	13.1389i	−1.46041	+	0.531544i
$612$	−7.12041	+	5.97474i	−0.287826	+	0.241514i
$613$	−1.20615	−	6.84042i	−0.0487160	−	0.276282i	0.950713	−	0.310072i	$-0.100353\pi$
$613$	−1.20615	−	6.84042i	−0.0487160	−	0.276282i	−0.999429	+	0.0337904i	$0.989242\pi$
$614$	−0.293752	−	1.66595i	−0.0118549	−	0.0672322i
$615$	0.625858	−	1.08402i	0.0252370	−	0.0437118i
$616$	16.8698	+	14.1554i	0.679702	+	0.570338i
$617$	2.34127	+	0.852152i	0.0942559	+	0.0343063i	0.388718	−	0.921357i	$-0.372918\pi$
$617$	2.34127	+	0.852152i	0.0942559	+	0.0343063i	−0.294462	+	0.955663i	$0.595140\pi$
$618$	2.48426	+	4.30286i	0.0999316	+	0.173087i
$619$	3.94248	−	6.82857i	0.158462	−	0.274464i	−0.775853	−	0.630914i	$-0.782680\pi$
$619$	3.94248	−	6.82857i	0.158462	−	0.274464i	0.934314	+	0.356451i	$0.116013\pi$
$620$	3.41529	−	2.86577i	0.137161	−	0.115092i
$621$	−10.6885	−	18.5130i	−0.428913	−	0.742900i
$622$	1.70733	−	9.68273i	0.0684575	−	0.388242i
$623$	−0.420753			−0.0168571
$624$	0.325139	−	1.84396i	0.0130160	−	0.0738174i
$625$	0.766044	+	0.642788i	0.0306418	+	0.0257115i
$626$	−7.56701	+	2.75417i	−0.302438	+	0.110079i
$627$	5.46097	+	1.98763i	0.218090	+	0.0793783i
$628$	14.9393			0.596143
$629$	−19.6591	−	5.10211i	−0.783861	−	0.203435i
$630$	9.50784			0.378801
$631$	−20.1729	−	7.34234i	−0.803071	−	0.292294i	−0.0923128	−	0.995730i	$-0.529426\pi$
$631$	−20.1729	−	7.34234i	−0.803071	−	0.292294i	−0.710759	+	0.703436i	$0.751648\pi$
$632$	11.7585	−	4.27975i	0.467729	−	0.170239i
$633$	5.47320	+	4.59256i	0.217540	+	0.182538i
$634$	3.61472	−	20.5001i	0.143559	−	0.814164i
$635$	12.6841			0.503352
$636$	−0.243290	+	1.37977i	−0.00964707	+	0.0547113i
$637$	−9.39277	−	16.2688i	−0.372155	−	0.644592i
$638$	43.9821	−	36.9053i	1.74127	−	1.46110i
$639$	−8.63669	+	14.9592i	−0.341662	+	0.591776i
$640$	0.500000	+	0.866025i	0.0197642	+	0.0342327i
$641$	−0.420384	−	0.153007i	−0.0166042	−	0.00604343i	0.333705	−	0.942678i	$-0.391701\pi$
$641$	−0.420384	−	0.153007i	−0.0166042	−	0.00604343i	−0.350309	+	0.936634i	$0.613923\pi$
$642$	−2.24696	−	1.88542i	−0.0886803	−	0.0744116i
$643$	−6.90557	+	11.9608i	−0.272329	+	0.471688i	−0.969458	−	0.245258i	$-0.921127\pi$
$643$	−6.90557	+	11.9608i	−0.272329	+	0.471688i	0.697129	+	0.716946i	$0.254461\pi$
$644$	−4.71406	−	26.7347i	−0.185760	−	1.05350i
$645$	−0.434272	−	2.46288i	−0.0170994	−	0.0969757i
$646$	−4.95782	+	4.16011i	−0.195063	+	0.163677i
$647$	11.7288	−	4.26892i	0.461105	−	0.167829i	−0.101014	−	0.994885i	$-0.532209\pi$
$647$	11.7288	−	4.26892i	0.461105	−	0.167829i	0.562119	+	0.827056i	$0.309986\pi$
$648$	−6.67246	+	2.42858i	−0.262119	+	0.0954035i
$649$	−4.13498	+	3.46966i	−0.162312	+	0.136196i
$650$	0.699216	+	3.96545i	0.0274255	+	0.155538i
$651$	−1.22956	−	6.97321i	−0.0481904	−	0.273302i
$652$	7.16549	−	12.4110i	0.280622	−	0.486052i
$653$	18.8479	+	15.8152i	0.737575	+	0.618899i	0.932185	−	0.361982i	$-0.117900\pi$
$653$	18.8479	+	15.8152i	0.737575	+	0.618899i	−0.194611	+	0.980881i	$0.562344\pi$
$654$	−2.69802	−	0.981998i	−0.105501	−	0.0383992i
$655$	−8.59090	−	14.8799i	−0.335674	−	0.581405i
$656$	−1.34591	+	2.33119i	−0.0525491	+	0.0910177i
$657$	−24.1887	+	20.2967i	−0.943691	+	0.791851i
$658$	−16.2924	−	28.2193i	−0.635145	−	1.10010i
$659$	−1.00347	+	5.69098i	−0.0390898	+	0.221689i	−0.998095	−	0.0617002i	$-0.980348\pi$
$659$	−1.00347	+	5.69098i	−0.0390898	+	0.221689i	0.959005	+	0.283389i	$0.0914589\pi$
$660$	−2.99823			−0.116706
$661$	−3.14392	+	17.8300i	−0.122284	+	0.693508i	0.860600	+	0.509282i	$0.170089\pi$
$661$	−3.14392	+	17.8300i	−0.122284	+	0.693508i	−0.982884	+	0.184226i	$0.941022\pi$
$662$	−7.54079	−	6.32748i	−0.293081	−	0.245924i
$663$	−5.87494	+	2.13830i	−0.228164	+	0.0830448i
$664$	6.28452	+	2.28738i	0.243887	+	0.0887675i
$665$	6.62015			0.256718
$666$	−13.9467	−	9.60288i	−0.540425	−	0.372104i
$667$	−70.7768			−2.74049
$668$	11.8198	+	4.30204i	0.457321	+	0.166451i
$669$	0.944419	−	0.343740i	0.0365134	−	0.0132898i
$670$	−3.65303	−	3.06525i	−0.141129	−	0.118421i
$671$	3.56858	−	20.2384i	0.137763	−	0.781295i
$672$	1.58821			0.0612664
$673$	−3.21371	+	18.2259i	−0.123879	+	0.702555i	0.858088	+	0.513503i	$0.171653\pi$
$673$	−3.21371	+	18.2259i	−0.123879	+	0.702555i	−0.981967	+	0.189052i	$0.939458\pi$
$674$	−5.84317	−	10.1207i	−0.225071	−	0.389834i
$675$	−2.06027	+	1.72877i	−0.0792997	+	0.0665404i
$676$	−1.60684	+	2.78314i	−0.0618017	+	0.107044i
$677$	11.0464	+	19.1329i	0.424548	+	0.735339i	0.996378	−	0.0850335i	$-0.0270997\pi$
$677$	11.0464	+	19.1329i	0.424548	+	0.735339i	−0.571830	+	0.820372i	$0.693766\pi$
$678$	−0.972070	−	0.353804i	−0.0373321	−	0.0135878i
$679$	17.3674	+	14.5730i	0.666500	+	0.559260i
$680$	1.66951	−	2.89167i	0.0640226	−	0.110890i
$681$	2.09822	+	11.8996i	0.0804039	+	0.455993i
$682$	−4.99172	−	28.3095i	−0.191143	−	1.08403i
$683$	6.12396	−	5.13861i	0.234327	−	0.196623i	−0.518062	−	0.855343i	$-0.673346\pi$
$683$	6.12396	−	5.13861i	0.234327	−	0.196623i	0.752388	+	0.658720i	$0.228902\pi$
$684$	−5.07035	+	1.84546i	−0.193870	+	0.0705628i
$685$	−5.08050	+	1.84915i	−0.194116	+	0.0706524i
$686$	−6.10839	+	5.12555i	−0.233220	+	0.195694i
$687$	1.57845	+	8.95182i	0.0602215	+	0.341533i
$688$	0.933906	+	5.29644i	0.0356048	+	0.201925i
$689$	6.06605	−	10.5067i	0.231098	−	0.400274i
$690$	2.83132	+	2.37576i	0.107786	+	0.0904435i
$691$	−17.3965	−	6.33181i	−0.661795	−	0.240874i	−0.0107837	−	0.999942i	$-0.503433\pi$
$691$	−17.3965	−	6.33181i	−0.661795	−	0.240874i	−0.651011	+	0.759068i	$0.725655\pi$
$692$	7.81821	+	13.5415i	0.297204	+	0.514772i
$693$	30.6520	−	53.0908i	1.16437	−	2.01675i
$694$	−10.6234	+	8.91410i	−0.403259	+	0.338375i
$695$	−5.18416	−	8.97923i	−0.196646	−	0.340602i
$696$	0.719025	−	4.07779i	0.0272546	−	0.154568i
$697$	8.98804			0.340446
$698$	2.79697	−	15.8624i	0.105867	−	0.600400i
$699$	−8.23800	−	6.91250i	−0.311590	−	0.261455i
$700$	−3.20948	+	1.16815i	−0.121307	+	0.0441521i
$701$	18.2754	+	6.65170i	0.690253	+	0.251231i	0.663243	−	0.748404i	$-0.269179\pi$
$701$	18.2754	+	6.65170i	0.690253	+	0.251231i	0.0270092	+	0.999635i	$0.491402\pi$
$702$	−10.8296			−0.408735
$703$	−9.71088	−	6.68632i	−0.366253	−	0.252179i
$704$	6.44772			0.243008
$705$	4.16881	+	1.51732i	0.157006	+	0.0571456i
$706$	1.86792	−	0.679866i	0.0703000	−	0.0255871i
$707$	39.9072	+	33.4862i	1.50087	+	1.25938i
$708$	−0.0675992	+	0.383374i	−0.00254053	+	0.0144081i
$709$	−18.4752			−0.693852			−0.346926	−	0.937893i	$-0.612774\pi$
$709$	−18.4752			−0.693852			−0.346926	+	0.937893i	$0.612774\pi$
$710$	1.07749	−	6.11077i	0.0404376	−	0.229333i
$711$	−17.4169	−	30.1669i	−0.653184	−	1.13135i
$712$	−0.0943696	+	0.0791855i	−0.00353665	+	0.00296760i
$713$	−17.7182	+	30.6888i	−0.663552	+	1.14931i
$714$	−2.65152	−	4.59257i	−0.0992307	−	0.171873i
$715$	24.3968	+	8.87971i	0.912389	+	0.332082i
$716$	−0.643909	−	0.540304i	−0.0240640	−	0.0201921i
$717$	−2.10744	+	3.65020i	−0.0787038	+	0.136319i
$718$	−2.81905	−	15.9876i	−0.105206	−	0.596652i
$719$	7.13858	+	40.4849i	0.266224	+	1.50983i	0.765527	+	0.643404i	$0.222479\pi$
$719$	7.13858	+	40.4849i	0.266224	+	1.50983i	−0.499302	+	0.866428i	$0.666410\pi$
$720$	2.13249	−	1.78937i	0.0794733	−	0.0666860i
$721$	34.2928	−	12.4816i	1.27713	−	0.464837i
$722$	14.3238	−	5.21342i	0.533075	−	0.194023i
$723$	−0.181673	+	0.152442i	−0.00675651	+	0.00566938i
$724$	3.83407	+	21.7441i	0.142492	+	0.808113i
$725$	1.54627	+	8.76934i	0.0574270	+	0.325685i
$726$	−7.10834	+	12.3120i	−0.263815	+	0.456942i
$727$	17.2499	+	14.4744i	0.639762	+	0.536824i	0.903945	−	0.427649i	$-0.140658\pi$
$727$	17.2499	+	14.4744i	0.639762	+	0.536824i	−0.264183	+	0.964473i	$0.585102\pi$
$728$	−12.9234	−	4.70372i	−0.478971	−	0.174331i
$729$	8.00739	+	13.8692i	0.296570	+	0.513674i
$730$	5.67147	−	9.82327i	0.209910	−	0.363575i
$731$	13.7564	−	11.5430i	0.508799	−	0.426933i
$732$	−0.741050	−	1.28354i	−0.0273900	−	0.0474408i
$733$	−6.09447	+	34.5635i	−0.225104	+	1.27663i	0.637381	+	0.770549i	$0.280018\pi$
$733$	−6.09447	+	34.5635i	−0.225104	+	1.27663i	−0.862485	+	0.506082i	$0.831093\pi$
$734$	0.810036			0.0298990
$735$	−0.376714	+	2.13645i	−0.0138953	+	0.0788042i
$736$	−6.08877	−	5.10909i	−0.224435	−	0.188323i
$737$	−28.8929	+	10.5161i	−1.06428	+	0.387367i
$738$	7.04152	+	2.56290i	0.259202	+	0.0943417i
$739$	−20.0162			−0.736310			−0.368155	−	0.929765i	$-0.620010\pi$
$739$	−20.0162			−0.736310			−0.368155	+	0.929765i	$0.620010\pi$
$740$	5.88771	+	1.52803i	0.216437	+	0.0561715i
$741$	−3.62926			−0.133324
$742$	9.67007	+	3.51962i	0.355000	+	0.129209i
$743$	3.49184	−	1.27093i	0.128103	−	0.0466257i	−0.277173	−	0.960820i	$-0.589398\pi$
$743$	3.49184	−	1.27093i	0.128103	−	0.0466257i	0.405276	+	0.914194i	$0.367175\pi$
$744$	−1.58813	−	1.33260i	−0.0582237	−	0.0488555i
$745$	−2.47902	+	14.0592i	−0.0908243	+	0.515090i
$746$	−7.57371			−0.277293
$747$	3.23288	−	18.3346i	0.118285	−	0.670827i
$748$	−10.7645	−	18.6447i	−0.393589	−	0.681717i
$749$	−16.5038	+	13.8484i	−0.603037	+	0.506008i
$750$	0.232503	−	0.402707i	0.00848981	−	0.0147048i
$751$	−11.2546	−	19.4935i	−0.410686	−	0.711328i	0.584279	−	0.811553i	$-0.301377\pi$
$751$	−11.2546	−	19.4935i	−0.410686	−	0.711328i	−0.994965	+	0.100224i	$0.968044\pi$
$752$	−8.96506	−	3.26301i	−0.326922	−	0.118990i
$753$	−7.21402	−	6.05328i	−0.262893	−	0.220594i
$754$	−17.9278	+	31.0518i	−0.652891	+	1.13084i
$755$	3.10563	+	17.6129i	0.113025	+	0.640999i
$756$	−1.59510	−	9.04627i	−0.0580133	−	0.329010i
$757$	22.1807	−	18.6118i	0.806172	−	0.676459i	−0.143519	−	0.989648i	$-0.545842\pi$
$757$	22.1807	−	18.6118i	0.806172	−	0.676459i	0.949691	+	0.313189i	$0.101397\pi$
$758$	−9.30236	+	3.38578i	−0.337877	+	0.122977i
$759$	22.3937	−	8.15065i	0.812841	−	0.295850i
$760$	1.48482	−	1.24591i	0.0538600	−	0.0451939i
$761$	0.145614	+	0.825819i	0.00527851	+	0.0299359i	0.987333	−	0.158660i	$-0.0507174\pi$
$761$	0.145614	+	0.825819i	0.00527851	+	0.0299359i	−0.982055	+	0.188596i	$0.939606\pi$
$762$	−1.02421	−	5.80857i	−0.0371031	−	0.210422i
$763$	−10.5443	+	18.2633i	−0.381730	+	0.661177i
$764$	−4.57550	−	3.83930i	−0.165536	−	0.138901i
$765$	−8.73448	−	3.17909i	−0.315796	−	0.114940i
$766$	12.3364	+	21.3673i	0.445733	+	0.772032i
$767$	1.68548	−	2.91934i	0.0608592	−	0.105411i
$768$	0.356215	−	0.298900i	0.0128538	−	0.0107856i
$769$	5.46041	+	9.45771i	0.196908	+	0.341054i	0.947524	−	0.319684i	$-0.103577\pi$
$769$	5.46041	+	9.45771i	0.196908	+	0.341054i	−0.750617	+	0.660738i	$0.770243\pi$
$770$	−3.82406	+	21.6873i	−0.137810	+	0.781558i
$771$	−4.88842			−0.176052
$772$	1.01195	−	5.73905i	0.0364209	−	0.206553i
$773$	38.2577	+	32.1020i	1.37603	+	1.15463i	0.970654	+	0.240482i	$0.0773055\pi$
$773$	38.2577	+	32.1020i	1.37603	+	1.15463i	0.405381	+	0.914148i	$0.367139\pi$
$774$	14.0686	−	5.12056i	0.505687	−	0.184055i
$775$	4.18948	+	1.52484i	0.150490	+	0.0547740i
$776$	6.63793			0.238288
$777$	6.77715	−	6.88470i	0.243129	−	0.246987i
$778$	26.5202			0.950797
$779$	4.90289	+	1.78451i	0.175664	+	0.0639366i
$780$	1.75948	−	0.640400i	0.0629996	−	0.0229300i
$781$	−30.6482	−	25.7169i	−1.09668	−	0.920222i
$782$	−4.60855	+	26.1364i	−0.164801	+	0.934635i
$783$	−23.9489			−0.855862
$784$	0.810127	−	4.59446i	0.0289331	−	0.164088i
$785$	7.46964	+	12.9378i	0.266603	+	0.461770i
$786$	−6.12042	+	5.13564i	−0.218308	+	0.183182i
$787$	4.08741	−	7.07960i	0.145700	−	0.252360i	−0.783934	−	0.620845i	$-0.786790\pi$
$787$	4.08741	−	7.07960i	0.145700	−	0.252360i	0.929634	+	0.368484i	$0.120123\pi$
$788$	−5.12614	−	8.87874i	−0.182611	−	0.316292i
$789$	−11.4062	−	4.15153i	−0.406073	−	0.147799i
$790$	9.58564	+	8.04330i	0.341042	+	0.286168i
$791$	−3.79902	+	6.58010i	−0.135078	+	0.233961i
$792$	−3.11681	−	17.6763i	−0.110751	−	0.628100i
$793$	2.22859	+	12.6390i	0.0791395	+	0.448822i
$794$	−10.4571	+	8.77458i	−0.371110	+	0.311398i
$795$	−1.31656	+	0.479188i	−0.0466935	+	0.0169950i
$796$	8.82469	−	3.21192i	0.312783	−	0.113844i
$797$	−26.8572	+	22.5359i	−0.951332	+	0.798262i	−0.979521	−	0.201340i	$-0.935470\pi$
$797$	−26.8572	+	22.5359i	−0.951332	+	0.798262i	0.0281895	+	0.999603i	$0.491026\pi$
$798$	−0.534560	−	3.03164i	−0.0189232	−	0.107319i
$799$	5.53166	+	31.3716i	0.195696	+	1.10985i
$800$	−0.500000	+	0.866025i	−0.0176777	+	0.0306186i
$801$	0.262703	+	0.220434i	0.00928216	+	0.00778866i
$802$	8.29304	+	3.01842i	0.292838	+	0.106584i
$803$	−36.5680	−	63.3377i	−1.29046	−	2.23514i
$804$	−1.10873	+	1.92038i	−0.0391020	+	0.0677267i
$805$	20.7959	−	17.4499i	0.732960	−	0.615027i
$806$	8.97604	+	15.5470i	0.316168	+	0.547618i
$807$	−2.03695	+	11.5521i	−0.0717040	+	0.406654i
$808$	15.2528			0.536591
$809$	5.55746	−	31.5179i	0.195390	−	1.10811i	−0.716473	−	0.697615i	$-0.754245\pi$
$809$	5.55746	−	31.5179i	0.195390	−	1.10811i	0.911863	−	0.410496i	$-0.134644\pi$
$810$	−5.43944	−	4.56423i	−0.191122	−	0.160371i
$811$	−26.8448	+	9.77072i	−0.942650	+	0.343096i	−0.767212	−	0.641394i	$-0.778356\pi$
$811$	−26.8448	+	9.77072i	−0.942650	+	0.343096i	−0.175438	+	0.984490i	$0.556134\pi$
$812$	−28.5792	−	10.4020i	−1.00293	−	0.365038i
$813$	−3.20086			−0.112259
$814$	27.5135	−	27.9502i	0.964348	−	0.979653i
$815$	14.3310			0.501993
$816$	−1.45902	−	0.531041i	−0.0510760	−	0.0185902i
$817$	9.79575	−	3.56536i	0.342710	−	0.124736i
$818$	15.1176	+	12.6852i	0.528575	+	0.443527i
$819$	−6.64803	+	37.7029i	−0.232301	+	1.31744i
$820$	−2.69183			−0.0940027
$821$	8.47726	−	48.0769i	0.295858	−	1.67790i	−0.367835	−	0.929891i	$-0.619901\pi$
$821$	8.47726	−	48.0769i	0.295858	−	1.67790i	0.663693	−	0.748005i	$-0.268988\pi$
$822$	1.25704	+	2.17726i	0.0438443	+	0.0759405i
$823$	−27.7142	+	23.2550i	−0.966056	+	0.810617i	−0.981928	−	0.189257i	$-0.939392\pi$
$823$	−27.7142	+	23.2550i	−0.966056	+	0.810617i	0.0158720	+	0.999874i	$0.494948\pi$
$824$	5.34242	−	9.25335i	0.186112	−	0.322356i
$825$	−1.49911	−	2.59654i	−0.0521925	−	0.0904000i
$826$	2.68687	+	0.977942i	0.0934883	+	0.0340270i
$827$	0.718055	+	0.602520i	0.0249692	+	0.0209517i	0.655187	−	0.755467i	$-0.272590\pi$
$827$	0.718055	+	0.602520i	0.0249692	+	0.0209517i	−0.630218	+	0.776419i	$0.717034\pi$
$828$	−11.0632	+	19.1620i	−0.384471	+	0.665924i
$829$	−3.45410	−	19.5892i	−0.119966	−	0.680361i	−0.984171	−	0.177221i	$-0.943289\pi$
$829$	−3.45410	−	19.5892i	−0.119966	−	0.680361i	0.864205	−	0.503140i	$-0.167822\pi$
$830$	1.16133	+	6.58624i	0.0403104	+	0.228612i
$831$	1.45364	−	1.21975i	0.0504264	−	0.0423128i
$832$	−3.78379	+	1.37719i	−0.131179	+	0.0477453i
$833$	−14.6382	+	5.32786i	−0.507182	+	0.184599i
$834$	−3.69336	+	3.09909i	−0.127890	+	0.107313i
$835$	2.18420	+	12.3872i	0.0755875	+	0.428678i
$836$	−2.17018	−	12.3077i	−0.0750572	−	0.425671i
$837$	−5.99534	+	10.3842i	−0.207229	+	0.358931i
$838$	27.2753	+	22.8867i	0.942210	+	0.790608i
$839$	13.2765	+	4.83225i	0.458356	+	0.166828i	0.560870	−	0.827904i	$-0.310467\pi$
$839$	13.2765	+	4.83225i	0.458356	+	0.166828i	−0.102514	+	0.994732i	$0.532689\pi$
$840$	0.794104	+	1.37543i	0.0273992	+	0.0474568i
$841$	−25.1461	+	43.5543i	−0.867107	+	1.50187i
$842$	−1.05124	+	0.882096i	−0.0362281	+	0.0303990i
$843$	6.22188	+	10.7766i	0.214293	+	0.371166i
$844$	2.66808	−	15.1314i	0.0918391	−	0.520845i
$845$	−3.21369			−0.110554
$846$	−4.61180	+	26.1548i	−0.158557	+	0.899222i
$847$	79.9913	+	67.1206i	2.74853	+	2.30629i
$848$	2.83127	−	1.03050i	0.0972262	−	0.0353874i
$849$	6.69712	+	2.43755i	0.229844	+	0.0836566i
$850$	3.33901			0.114527
$851$	−48.1292	+	4.59283i	−1.64985	+	0.157440i
$852$	−2.88538			−0.0988514
$853$	10.0581	+	3.66085i	0.344383	+	0.125345i	0.508420	−	0.861109i	$-0.330230\pi$
$853$	10.0581	+	3.66085i	0.344383	+	0.125345i	−0.164038	+	0.986454i	$0.552452\pi$
$854$	−10.2295	+	3.72322i	−0.350045	+	0.127406i
$855$	−4.13339	−	3.46833i	−0.141359	−	0.118614i
$856$	−1.09535	+	6.21203i	−0.0374383	+	0.212323i
$857$	11.5478			0.394465			0.197232	−	0.980357i	$-0.436805\pi$
$857$	11.5478			0.394465			0.197232	+	0.980357i	$0.436805\pi$
$858$	2.09641	−	11.8893i	0.0715702	−	0.405895i
$859$	5.66862	+	9.81835i	0.193411	+	0.334998i	0.946378	−	0.323060i	$-0.104712\pi$
$859$	5.66862	+	9.81835i	0.193411	+	0.334998i	−0.752967	+	0.658058i	$0.771378\pi$
$860$	−4.11990	+	3.45701i	−0.140487	+	0.117883i
$861$	−2.13759	+	3.70241i	−0.0728489	+	0.126178i
$862$	−18.5600	−	32.1468i	−0.632155	−	1.09492i
$863$	34.1675	+	12.4360i	1.16308	+	0.423325i	0.850195	−	0.526467i	$-0.176484\pi$
$863$	34.1675	+	12.4360i	1.16308	+	0.423325i	0.312881	+	0.949792i	$0.398706\pi$
$864$	−2.06027	−	1.72877i	−0.0700917	−	0.0588139i
$865$	−7.81821	+	13.5415i	−0.265827	+	0.460426i
$866$	−3.43553	−	19.4839i	−0.116744	−	0.662089i
$867$	−0.472454	−	2.67942i	−0.0160454	−	0.0909978i
$868$	−11.6648	+	9.78791i	−0.395928	+	0.332223i
$869$	75.8157	−	27.5947i	2.57187	−	0.936085i
$870$	3.89099	−	1.41620i	0.131917	−	0.0480138i
$871$	14.7094	−	12.3426i	0.498407	−	0.418213i
$872$	1.07219	+	6.08068i	0.0363088	+	0.205918i
$873$	−3.20875	−	18.1977i	−0.108600	−	0.615900i
$874$	−7.70309	+	13.3421i	−0.260561	+	0.451305i
$875$	−2.61639	−	2.19541i	−0.0884501	−	0.0742185i
$876$	−4.95644	−	1.80400i	−0.167463	−	0.0609514i
$877$	−7.36285	−	12.7528i	−0.248626	−	0.430632i	0.714519	−	0.699616i	$-0.246646\pi$
$877$	−7.36285	−	12.7528i	−0.248626	−	0.430632i	−0.963145	+	0.268984i	$0.913312\pi$
$878$	−12.8468	+	22.2513i	−0.433559	+	0.750946i
$879$	10.8759	−	9.12593i	0.366834	−	0.307810i
$880$	3.22386	+	5.58389i	0.108676	+	0.188233i
$881$	−7.11959	+	40.3772i	−0.239865	+	1.36034i	0.592256	+	0.805750i	$0.298237\pi$
$881$	−7.11959	+	40.3772i	−0.239865	+	1.36034i	−0.832121	+	0.554593i	$0.812874\pi$
$882$	−12.9872			−0.437302
$883$	3.44589	−	19.5426i	0.115963	−	0.657661i	−0.870305	−	0.492512i	$-0.836079\pi$
$883$	3.44589	−	19.5426i	0.115963	−	0.657661i	0.986269	−	0.165148i	$-0.0528102\pi$
$884$	10.2994	+	8.64224i	0.346407	+	0.290670i
$885$	−0.365811	+	0.133144i	−0.0122966	+	0.00447560i
$886$	11.9545	+	4.35108i	0.401619	+	0.146177i
$887$	−47.9928			−1.61144			−0.805720	−	0.592296i	$-0.798222\pi$
$887$	−47.9928			−1.61144			−0.805720	+	0.592296i	$0.798222\pi$
$888$	0.224331	−	2.81961i	0.00752806	−	0.0946200i
$889$	−43.3219			−1.45297
$890$	−0.115761	−	0.0421337i	−0.00388033	−	0.00141233i
$891$	−43.0222	+	15.6588i	−1.44130	+	0.524589i
$892$	−1.65567	−	1.38927i	−0.0554360	−	0.0465163i
$893$	−3.21112	+	18.2112i	−0.107456	+	0.609414i
$894$	6.63848			0.222024
$895$	0.145962	−	0.827794i	0.00487898	−	0.0276701i
$896$	−1.70773	−	2.95787i	−0.0570512	−	0.0988155i
$897$	−11.4006	+	9.56627i	−0.380656	+	0.319409i
$898$	−9.27661	+	16.0676i	−0.309565	+	0.536182i
$899$	19.8499	+	34.3811i	0.662033	+	1.14667i
$900$	2.61589	+	0.952105i	0.0871963	+	0.0317368i
$901$	−7.70668	−	6.46667i	−0.256747	−	0.215436i
$902$	−8.67808	+	15.0309i	−0.288948	+	0.500473i
$903$	1.48324	+	8.41185i	0.0493590	+	0.279929i
$904$	0.386299	+	2.19081i	0.0128481	+	0.0728652i
$905$	−16.9139	+	14.1925i	−0.562237	+	0.471773i
$906$	7.81490	−	2.84439i	0.259633	−	0.0944986i
$907$	37.7765	−	13.7495i	1.25435	−	0.456545i	0.372478	−	0.928041i	$-0.378508\pi$
$907$	37.7765	−	13.7495i	1.25435	−	0.456545i	0.881868	+	0.471496i	$0.156286\pi$
$908$	19.9056	−	16.7028i	0.660591	−	0.554302i
$909$	−7.37314	−	41.8152i	−0.244552	−	1.38692i
$910$	−2.38814	−	13.5438i	−0.0791661	−	0.448973i
$911$	−2.98640	+	5.17260i	−0.0989440	+	0.171376i	−0.911248	−	0.411859i	$-0.864880\pi$
$911$	−2.98640	+	5.17260i	−0.0989440	+	0.171376i	0.812304	+	0.583234i	$0.198213\pi$
$912$	−0.690449	−	0.579356i	−0.0228631	−	0.0191844i
$913$	40.5209	+	14.7484i	1.34104	+	0.488100i
$914$	−12.1254	−	21.0018i	−0.401072	−	0.694676i
$915$	0.741050	−	1.28354i	0.0244983	−	0.0424324i
$916$	14.9746	−	12.5652i	0.494775	−	0.415165i
$917$	29.3418	+	50.8215i	0.968953	+	1.67828i
$918$	−1.55940	+	8.84380i	−0.0514679	+	0.291889i
$919$	−45.6216			−1.50492			−0.752458	−	0.658640i	$-0.771132\pi$
$919$	−45.6216			−1.50492			−0.752458	+	0.658640i	$0.771132\pi$
$920$	1.38021	−	7.82758i	0.0455043	−	0.258068i
$921$	−0.602591	−	0.505634i	−0.0198561	−	0.0166612i
$922$	−17.2462	+	6.27709i	−0.567972	+	0.206725i
$923$	23.4785	+	8.54549i	0.772805	+	0.281278i
$924$	10.2403			0.336882
$925$	1.62054	+	5.86292i	0.0532831	+	0.192772i
$926$	−23.2519			−0.764105
$927$	−27.9504	−	10.1731i	−0.918010	−	0.334128i
$928$	−8.36760	+	3.04556i	−0.274680	+	0.0999753i
$929$	33.3932	+	28.0202i	1.09559	+	0.919313i	0.997121	−	0.0758271i	$-0.0241597\pi$
$929$	33.3932	+	28.0202i	1.09559	+	0.919313i	0.0984731	+	0.995140i	$0.468604\pi$
$930$	0.360000	−	2.04166i	0.0118049	−	0.0669488i
$931$	−9.04278			−0.296365
$932$	−4.01587	+	22.7751i	−0.131544	+	0.746024i
$933$	−2.28599	−	3.95946i	−0.0748400	−	0.129627i
$934$	26.4566	−	22.1997i	0.865685	−	0.726396i
$935$	10.7645	−	18.6447i	0.352037	−	0.609746i
$936$	5.60459	+	9.70744i	0.183192	+	0.317298i
$937$	14.9600	+	5.44501i	0.488723	+	0.177881i	0.574615	−	0.818424i	$-0.305152\pi$
$937$	14.9600	+	5.44501i	0.488723	+	0.177881i	−0.0858920	+	0.996304i	$0.527374\pi$
$938$	12.4767	+	10.4692i	0.407380	+	0.341833i
$939$	−1.87226	+	3.24285i	−0.0610990	+	0.105827i
$940$	−1.65668	−	9.39547i	−0.0540348	−	0.306447i
$941$	−6.90155	−	39.1407i	−0.224984	−	1.27595i	−0.862715	−	0.505690i	$-0.831238\pi$
$941$	−6.90155	−	39.1407i	−0.224984	−	1.27595i	0.637731	−	0.770259i	$-0.279873\pi$
$942$	5.32160	−	4.46535i	0.173387	−	0.145489i
$943$	20.1052	−	7.31770i	0.654716	−	0.238297i
$944$	0.786681	−	0.286329i	0.0256043	−	0.00931920i
$945$	7.03675	−	5.90453i	0.228905	−	0.192075i
$946$	6.02157	+	34.1500i	0.195778	+	1.11031i
$947$	−6.26526	−	35.5320i	−0.203594	−	1.15464i	−0.899638	−	0.436637i	$-0.856169\pi$
$947$	−6.26526	−	35.5320i	−0.203594	−	1.15464i	0.696044	−	0.717999i	$-0.254942\pi$
$948$	2.90935	−	5.03914i	0.0944912	−	0.163664i
$949$	34.9881	+	29.3585i	1.13576	+	0.953017i
$950$	1.82140	+	0.662935i	0.0590940	+	0.0215084i
$951$	−4.83987	−	8.38290i	−0.156943	−	0.271834i
$952$	−5.70212	+	9.87637i	−0.184807	+	0.320095i
$953$	12.0161	−	10.0827i	0.389240	−	0.326612i	−0.427077	−	0.904215i	$-0.640457\pi$
$953$	12.0161	−	10.0827i	0.389240	−	0.326612i	0.816317	+	0.577604i	$0.196012\pi$
$954$	−4.19371	−	7.26372i	−0.135776	−	0.235172i
$955$	1.03718	−	5.88215i	0.0335624	−	0.190342i
$956$	9.06415			0.293155
$957$	4.63607	−	26.2925i	0.149863	−	0.849915i
$958$	−26.1391	−	21.9333i	−0.844516	−	0.708633i
$959$	17.3522	−	6.31569i	0.560332	−	0.203944i
$960$	0.436963	+	0.159041i	0.0141029	+	0.00513304i
$961$	−11.1231			−0.358811
$962$	−10.1761	+	22.2790i	−0.328091	+	0.718303i
$963$	17.5596			0.565851
$964$	0.479253	+	0.174434i	0.0154357	+	0.00561813i
$965$	5.47614	−	1.99315i	0.176283	−	0.0641618i
$966$	−9.67023	−	8.11429i	−0.311135	−	0.261073i
$967$	0.574465	−	3.25795i	0.0184735	−	0.104769i	−0.974177	−	0.225787i	$-0.927505\pi$
$967$	0.574465	−	3.25795i	0.0184735	−	0.104769i	0.992650	+	0.121018i	$0.0386159\pi$
$968$	30.5731			0.982658
$969$	−0.522596	+	2.96379i	−0.0167882	+	0.0952106i
$970$	3.31896	+	5.74862i	0.106566	+	0.184577i
$971$	3.20708	−	2.69106i	0.102920	−	0.0863603i	−0.589876	−	0.807494i	$-0.700823\pi$
$971$	3.20708	−	2.69106i	0.102920	−	0.0863603i	0.692796	+	0.721134i	$0.256379\pi$
$972$	−5.68516	+	9.84699i	−0.182352	+	0.315842i
$973$	17.7063	+	30.6682i	0.567637	+	0.983176i
$974$	−24.5721	−	8.94352i	−0.787342	−	0.286569i
$975$	1.43434	+	1.20356i	0.0459358	+	0.0385447i
$976$	−1.59363	+	2.76026i	−0.0510110	+	0.0883536i
$977$	−4.56847	−	25.9091i	−0.146158	−	0.828905i	−0.966430	−	0.256930i	$-0.917289\pi$
$977$	−4.56847	−	25.9091i	−0.146158	−	0.828905i	0.820272	−	0.571974i	$-0.193822\pi$
$978$	−1.15719	−	6.56275i	−0.0370029	−	0.209854i
$979$	−0.608469	+	0.510566i	−0.0194468	+	0.0163178i
$980$	4.38398	−	1.59564i	0.140041	−	0.0509708i
$981$	16.1517	−	5.87876i	0.515686	−	0.187694i
$982$	25.1908	−	21.1376i	0.803871	−	0.674528i
$983$	3.25322	+	18.4499i	0.103762	+	0.588462i	0.991708	+	0.128514i	$0.0410208\pi$
$983$	3.25322	+	18.4499i	0.103762	+	0.588462i	−0.887946	+	0.459948i	$0.847868\pi$
$984$	0.217358	+	1.23270i	0.00692912	+	0.0392970i
$985$	5.12614	−	8.87874i	0.163332	−	0.282900i
$986$	22.7765	+	19.1118i	0.725352	+	0.608642i
$987$	−14.2384	−	5.18234i	−0.453212	−	0.164956i
$988$	3.90238	+	6.75913i	0.124151	+	0.215037i
$989$	21.3737	−	37.0202i	0.679643	−	1.17718i
$990$	13.7497	−	11.5374i	0.436995	−	0.366682i
$991$	−10.7027	−	18.5375i	−0.339981	−	0.588864i	0.644448	−	0.764648i	$-0.277087\pi$
$991$	−10.7027	−	18.5375i	−0.339981	−	0.588864i	−0.984429	+	0.175784i	$0.943754\pi$
$992$	−0.774184	+	4.39062i	−0.0245804	+	0.139402i
$993$	−4.57743			−0.145260
$994$	−3.68013	+	20.8710i	−0.116727	+	0.661989i
$995$	7.19395	+	6.03644i	0.228064	+	0.191368i
$996$	2.92234	−	1.06364i	0.0925979	−	0.0337029i
$997$	−48.2949	−	17.5779i	−1.52951	−	0.556698i	−0.566012	−	0.824397i	$-0.691514\pi$
$997$	−48.2949	−	17.5779i	−1.52951	−	0.556698i	−0.963502	+	0.267700i	$0.913737\pi$
$998$	−14.7346			−0.466416
$999$	−16.2855	+	1.55408i	−0.515251	+	0.0491690i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.d.201.2	yes	24
37.7	even	9	inner	370.2.o.d.81.2	✓	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.d.81.2	✓	24	37.7	even	9	inner
370.2.o.d.201.2	yes	24	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.o (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.939693 - 0.342020i) q^{2} +(-0.436963 + 0.159041i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.173648 + 0.984808i) q^{5} +0.465006 q^{6} +(0.593088 - 3.36357i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.13249 + 1.78937i) q^{9} +O(q^{10})\)	\(q+(-0.939693 - 0.342020i) q^{2} +(-0.436963 + 0.159041i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.173648 + 0.984808i) q^{5} +0.465006 q^{6} +(0.593088 - 3.36357i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.13249 + 1.78937i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-3.22386 - 5.58389i) q^{11} +(-0.436963 - 0.159041i) q^{12} +(3.08457 + 2.58826i) q^{13} +(-1.70773 + 2.95787i) q^{14} +(-0.0807474 - 0.457942i) q^{15} +(0.173648 + 0.984808i) q^{16} +(2.55783 - 2.14628i) q^{17} +(2.61589 - 0.952105i) q^{18} +(1.82140 - 0.662935i) q^{19} +(-0.766044 + 0.642788i) q^{20} +(0.275789 + 1.56408i) q^{21} +(1.11964 + 6.34977i) q^{22} +(3.97416 - 6.88345i) q^{23} +(0.356215 + 0.298900i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(-2.01331 - 3.48716i) q^{26} +(1.34474 - 2.32916i) q^{27} +(2.61639 - 2.19541i) q^{28} +(-4.45231 - 7.71162i) q^{29} +(-0.0807474 + 0.457942i) q^{30} -4.45835 q^{31} +(0.173648 - 0.984808i) q^{32} +(2.29678 + 1.92722i) q^{33} +(-3.13764 + 1.14201i) q^{34} +(3.20948 + 1.16815i) q^{35} -2.78377 q^{36} +(-3.52805 - 4.95509i) q^{37} -1.93829 q^{38} +(-1.75948 - 0.640400i) q^{39} +(0.939693 - 0.342020i) q^{40} +(2.06206 + 1.73027i) q^{41} +(0.275789 - 1.56408i) q^{42} +5.37815 q^{43} +(1.11964 - 6.34977i) q^{44} +(-1.39188 - 2.41082i) q^{45} +(-6.08877 + 5.10909i) q^{46} +(-4.77021 + 8.26224i) q^{47} +(-0.232503 - 0.402707i) q^{48} +(-4.38398 - 1.59564i) q^{49} +(0.766044 + 0.642788i) q^{50} +(-0.776330 + 1.34464i) q^{51} +(0.699216 + 3.96545i) q^{52} +(-0.523197 - 2.96720i) q^{53} +(-2.06027 + 1.72877i) q^{54} +(6.05888 - 2.20525i) q^{55} +(-3.20948 + 1.16815i) q^{56} +(-0.690449 + 0.579356i) q^{57} +(1.54627 + 8.76934i) q^{58} +(-0.145373 - 0.824450i) q^{59} +(0.232503 - 0.402707i) q^{60} +(2.44159 + 2.04874i) q^{61} +(4.18948 + 1.52484i) q^{62} +(4.75392 + 8.23403i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-3.08457 + 2.58826i) q^{65} +(-1.49911 - 2.59654i) q^{66} +(0.828074 - 4.69624i) q^{67} +3.33901 q^{68} +(-0.641807 + 3.63987i) q^{69} +(-2.61639 - 2.19541i) q^{70} +(5.83082 - 2.12225i) q^{71} +(2.61589 + 0.952105i) q^{72} +11.3429 q^{73} +(1.62054 + 5.86292i) q^{74} +0.465006 q^{75} +(1.82140 + 0.662935i) q^{76} +(-20.6938 + 7.53194i) q^{77} +(1.43434 + 1.20356i) q^{78} +(-2.17289 + 12.3231i) q^{79} -1.00000 q^{80} +(1.23302 - 6.99281i) q^{81} +(-1.34591 - 2.33119i) q^{82} +(-5.12319 + 4.29887i) q^{83} +(-0.794104 + 1.37543i) q^{84} +(1.66951 + 2.89167i) q^{85} +(-5.05381 - 1.83944i) q^{86} +(3.17196 + 2.66159i) q^{87} +(-3.22386 + 5.58389i) q^{88} +(-0.0213918 - 0.121319i) q^{89} +(0.483396 + 2.74148i) q^{90} +(10.5352 - 8.84010i) q^{91} +(7.46899 - 2.71849i) q^{92} +(1.94813 - 0.709062i) q^{93} +(7.30838 - 6.13246i) q^{94} +(0.336581 + 1.90884i) q^{95} +(0.0807474 + 0.457942i) q^{96} +(-3.31896 + 5.74862i) q^{97} +(3.57385 + 2.99882i) q^{98} +(16.8665 + 6.13891i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9	\( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9} + 12 q^{10} - 3 q^{11} - 3 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} + 18 q^{21} + 3 q^{22} + 15 q^{23} - 6 q^{26} - 12 q^{27} + 9 q^{28} - 18 q^{29} - 6 q^{31} - 45 q^{33} - 3 q^{34} + 30 q^{36} - 18 q^{37} - 24 q^{38} + 12 q^{39} + 3 q^{41} + 18 q^{42} + 3 q^{44} + 15 q^{45} + 9 q^{46} - 36 q^{47} - 3 q^{48} - 15 q^{49} + 54 q^{51} - 9 q^{52} - 6 q^{53} + 45 q^{54} - 3 q^{55} + 3 q^{57} - 15 q^{58} - 9 q^{59} + 3 q^{60} - 24 q^{61} + 81 q^{62} - 45 q^{63} - 12 q^{64} - 3 q^{66} + 12 q^{67} + 12 q^{68} + 60 q^{69} - 9 q^{70} + 42 q^{71} - 6 q^{72} - 42 q^{73} + 12 q^{74} + 6 q^{75} - 18 q^{76} + 9 q^{77} + 30 q^{78} - 6 q^{79} - 24 q^{80} - 66 q^{81} - 24 q^{82} - 3 q^{83} - 42 q^{84} + 6 q^{85} - 18 q^{86} - 84 q^{87} - 3 q^{88} + 27 q^{89} + 6 q^{90} + 153 q^{91} - 9 q^{92} - 54 q^{93} - 21 q^{94} - 9 q^{95} - 9 q^{97} - 24 q^{98} + 165 q^{99}+O(q^{100}) \) 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9 + 12 * q^10 - 3 * q^11 - 3 * q^14 + 6 * q^17 - 6 * q^18 - 18 * q^19 + 18 * q^21 + 3 * q^22 + 15 * q^23 - 6 * q^26 - 12 * q^27 + 9 * q^28 - 18 * q^29 - 6 * q^31 - 45 * q^33 - 3 * q^34 + 30 * q^36 - 18 * q^37 - 24 * q^38 + 12 * q^39 + 3 * q^41 + 18 * q^42 + 3 * q^44 + 15 * q^45 + 9 * q^46 - 36 * q^47 - 3 * q^48 - 15 * q^49 + 54 * q^51 - 9 * q^52 - 6 * q^53 + 45 * q^54 - 3 * q^55 + 3 * q^57 - 15 * q^58 - 9 * q^59 + 3 * q^60 - 24 * q^61 + 81 * q^62 - 45 * q^63 - 12 * q^64 - 3 * q^66 + 12 * q^67 + 12 * q^68 + 60 * q^69 - 9 * q^70 + 42 * q^71 - 6 * q^72 - 42 * q^73 + 12 * q^74 + 6 * q^75 - 18 * q^76 + 9 * q^77 + 30 * q^78 - 6 * q^79 - 24 * q^80 - 66 * q^81 - 24 * q^82 - 3 * q^83 - 42 * q^84 + 6 * q^85 - 18 * q^86 - 84 * q^87 - 3 * q^88 + 27 * q^89 + 6 * q^90 + 153 * q^91 - 9 * q^92 - 54 * q^93 - 21 * q^94 - 9 * q^95 - 9 * q^97 - 24 * q^98 + 165 * q^99

Introduction

L-functions

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