LMFDB - Embedded newform 798.2.be.a.607.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(493,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 1, 3]))

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

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

chi := DirichletCharacter("798.493");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.be (of order $6$, degree $2$, 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:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$14$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			607.13
Character	$\chi$	$=$	798.607
Dual form			798.2.be.a.493.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.866025 + 0.500000i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.94282 + 1.12169i) q^{5} -1.00000i q^{6} +(-2.03542 + 1.69029i) q^{7} +1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(0.866025 + 0.500000i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.94282 + 1.12169i) q^{5} -1.00000i q^{6} +(-2.03542 + 1.69029i) q^{7} +1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +(1.12169 + 1.94282i) q^{10} +(0.804965 + 1.39424i) q^{11} +(0.500000 - 0.866025i) q^{12} +1.35618 q^{13} +(-2.60787 + 0.446127i) q^{14} -2.24337i q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.82838 + 1.05562i) q^{17} +(-0.866025 + 0.500000i) q^{18} +(3.23468 + 2.92179i) q^{19} +2.24337i q^{20} +(2.48154 + 0.917576i) q^{21} +1.60993i q^{22} +(-2.97604 + 5.15466i) q^{23} +(0.866025 - 0.500000i) q^{24} +(0.0163546 + 0.0283271i) q^{25} +(1.17449 + 0.678092i) q^{26} +1.00000 q^{27} +(-2.48154 - 0.917576i) q^{28} -0.0259741i q^{29} +(1.12169 - 1.94282i) q^{30} +(-0.395243 - 0.684580i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(0.804965 - 1.39424i) q^{33} -2.11123 q^{34} +(-5.85041 + 1.00083i) q^{35} -1.00000 q^{36} +(1.65311 + 0.954425i) q^{37} +(1.34041 + 4.14768i) q^{38} +(-0.678092 - 1.17449i) q^{39} +(-1.12169 + 1.94282i) q^{40} +5.25404 q^{41} +(1.69029 + 2.03542i) q^{42} +2.15879 q^{43} +(-0.804965 + 1.39424i) q^{44} +(-1.94282 + 1.12169i) q^{45} +(-5.15466 + 2.97604i) q^{46} +(1.73929 + 1.00418i) q^{47} +1.00000 q^{48} +(1.28583 - 6.88089i) q^{49} +0.0327093i q^{50} +(1.82838 + 1.05562i) q^{51} +(0.678092 + 1.17449i) q^{52} +(9.58758 - 5.53539i) q^{53} +(0.866025 + 0.500000i) q^{54} +3.61167i q^{55} +(-1.69029 - 2.03542i) q^{56} +(0.913009 - 4.26221i) q^{57} +(0.0129871 - 0.0224943i) q^{58} +(2.87431 + 4.97845i) q^{59} +(1.94282 - 1.12169i) q^{60} +(7.18771 + 4.14983i) q^{61} -0.790485i q^{62} +(-0.446127 - 2.60787i) q^{63} -1.00000 q^{64} +(2.63482 + 1.52121i) q^{65} +(1.39424 - 0.804965i) q^{66} +(-8.69107 + 5.01779i) q^{67} +(-1.82838 - 1.05562i) q^{68} +5.95209 q^{69} +(-5.56702 - 2.05846i) q^{70} -11.5540i q^{71} +(-0.866025 - 0.500000i) q^{72} +(-6.27275 + 3.62157i) q^{73} +(0.954425 + 1.65311i) q^{74} +(0.0163546 - 0.0283271i) q^{75} +(-0.913009 + 4.26221i) q^{76} +(-3.99511 - 1.47723i) q^{77} -1.35618i q^{78} +(-14.3105 - 8.26214i) q^{79} +(-1.94282 + 1.12169i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(4.55013 + 2.62702i) q^{82} +4.18825i q^{83} +(0.446127 + 2.60787i) q^{84} -4.73627 q^{85} +(1.86957 + 1.07939i) q^{86} +(-0.0224943 + 0.0129871i) q^{87} +(-1.39424 + 0.804965i) q^{88} +(4.57588 - 7.92566i) q^{89} -2.24337 q^{90} +(-2.76040 + 2.29235i) q^{91} -5.95209 q^{92} +(-0.395243 + 0.684580i) q^{93} +(1.00418 + 1.73929i) q^{94} +(3.00705 + 9.30479i) q^{95} +(0.866025 + 0.500000i) q^{96} +2.85365 q^{97} +(4.55401 - 5.31611i) q^{98} -1.60993 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9}+O(q^{10}) $ 28 * q - 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9	$ 28 q - 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9} - 4 q^{10} + 6 q^{11} + 14 q^{12} + 8 q^{13} + 4 q^{14} - 14 q^{16} - 12 q^{17} + 6 q^{19} + 4 q^{21} + 6 q^{23} + 20 q^{25} + 12 q^{26} + 28 q^{27} - 4 q^{28} - 4 q^{30} + 4 q^{31} + 6 q^{33} + 8 q^{34} - 10 q^{35} - 28 q^{36} + 12 q^{37} - 24 q^{38} - 4 q^{39} + 4 q^{40} + 40 q^{41} - 8 q^{42} + 52 q^{43} - 6 q^{44} + 6 q^{45} + 36 q^{46} - 6 q^{47} + 28 q^{48} + 18 q^{49} + 12 q^{51} + 4 q^{52} + 36 q^{53} + 8 q^{56} - 12 q^{57} + 4 q^{58} + 32 q^{59} - 6 q^{60} + 6 q^{61} - 2 q^{63} - 28 q^{64} - 60 q^{65} - 12 q^{67} - 12 q^{68} - 12 q^{69} - 12 q^{70} + 30 q^{73} + 12 q^{74} + 20 q^{75} + 12 q^{76} + 28 q^{77} - 36 q^{79} + 6 q^{80} - 14 q^{81} + 2 q^{84} + 64 q^{85} - 24 q^{86} + 16 q^{89} + 8 q^{90} - 20 q^{91} + 12 q^{92} + 4 q^{93} + 14 q^{95} - 16 q^{97} - 8 q^{98} - 12 q^{99}+O(q^{100}) $ 28 * q - 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9 - 4 * q^10 + 6 * q^11 + 14 * q^12 + 8 * q^13 + 4 * q^14 - 14 * q^16 - 12 * q^17 + 6 * q^19 + 4 * q^21 + 6 * q^23 + 20 * q^25 + 12 * q^26 + 28 * q^27 - 4 * q^28 - 4 * q^30 + 4 * q^31 + 6 * q^33 + 8 * q^34 - 10 * q^35 - 28 * q^36 + 12 * q^37 - 24 * q^38 - 4 * q^39 + 4 * q^40 + 40 * q^41 - 8 * q^42 + 52 * q^43 - 6 * q^44 + 6 * q^45 + 36 * q^46 - 6 * q^47 + 28 * q^48 + 18 * q^49 + 12 * q^51 + 4 * q^52 + 36 * q^53 + 8 * q^56 - 12 * q^57 + 4 * q^58 + 32 * q^59 - 6 * q^60 + 6 * q^61 - 2 * q^63 - 28 * q^64 - 60 * q^65 - 12 * q^67 - 12 * q^68 - 12 * q^69 - 12 * q^70 + 30 * q^73 + 12 * q^74 + 20 * q^75 + 12 * q^76 + 28 * q^77 - 36 * q^79 + 6 * q^80 - 14 * q^81 + 2 * q^84 + 64 * q^85 - 24 * q^86 + 16 * q^89 + 8 * q^90 - 20 * q^91 + 12 * q^92 + 4 * q^93 + 14 * q^95 - 16 * q^97 - 8 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$3$	−0.500000	−	0.866025i	−0.288675	−	0.500000i
$3$	−0.500000	−	0.866025i	−0.288675	−	0.500000i
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	1.94282	+	1.12169i	0.868853	+	0.501633i	0.866967	−	0.498365i	$-0.166066\pi$
$5$	1.94282	+	1.12169i	0.868853	+	0.501633i	0.00188642	+	0.999998i	$0.499400\pi$
$6$		−	1.00000i		−	0.408248i
$7$	−2.03542	+	1.69029i	−0.769315	+	0.638870i
$7$	−2.03542	+	1.69029i	−0.769315	+	0.638870i
$8$			1.00000i			0.353553i
$9$	−0.500000	+	0.866025i	−0.166667	+	0.288675i
$10$	1.12169	+	1.94282i	0.354708	+	0.614372i
$11$	0.804965	+	1.39424i	0.242706	+	0.420379i	0.961484	−	0.274860i	$-0.0886316\pi$
$11$	0.804965	+	1.39424i	0.242706	+	0.420379i	−0.718778	+	0.695240i	$0.755298\pi$
$12$	0.500000	−	0.866025i	0.144338	−	0.250000i
$13$	1.35618			0.376138			0.188069	−	0.982156i	$-0.439777\pi$
$13$	1.35618			0.376138			0.188069	+	0.982156i	$0.439777\pi$
$14$	−2.60787	+	0.446127i	−0.696982	+	0.119233i
$15$		−	2.24337i		−	0.579236i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−1.82838	+	1.05562i	−0.443447	+	0.256024i	−0.705059	−	0.709149i	$-0.749079\pi$
$17$	−1.82838	+	1.05562i	−0.443447	+	0.256024i	0.261612	+	0.965173i	$0.415746\pi$
$18$	−0.866025	+	0.500000i	−0.204124	+	0.117851i
$19$	3.23468	+	2.92179i	0.742086	+	0.670305i
$19$	3.23468	+	2.92179i	0.742086	+	0.670305i
$20$			2.24337i			0.501633i
$21$	2.48154	+	0.917576i	0.541517	+	0.200231i
$22$			1.60993i			0.343238i
$23$	−2.97604	+	5.15466i	−0.620548	+	1.07482i	0.368836	+	0.929495i	$0.379756\pi$
$23$	−2.97604	+	5.15466i	−0.620548	+	1.07482i	−0.989384	+	0.145326i	$0.953577\pi$
$24$	0.866025	−	0.500000i	0.176777	−	0.102062i
$25$	0.0163546	+	0.0283271i	0.00327093	+	0.00566541i
$26$	1.17449	+	0.678092i	0.230337	+	0.132985i
$27$	1.00000			0.192450
$28$	−2.48154	−	0.917576i	−0.468968	−	0.173406i
$29$		−	0.0259741i		−	0.00482328i	−0.999997	−	0.00241164i	$-0.999232\pi$
$29$		−	0.0259741i		−	0.00482328i	0.999997	−	0.00241164i	$-0.000767649\pi$
$30$	1.12169	−	1.94282i	0.204791	−	0.354708i
$31$	−0.395243	−	0.684580i	−0.0709877	−	0.122954i	0.828347	−	0.560216i	$-0.189282\pi$
$31$	−0.395243	−	0.684580i	−0.0709877	−	0.122954i	−0.899334	+	0.437261i	$0.855948\pi$
$32$	−0.866025	+	0.500000i	−0.153093	+	0.0883883i
$33$	0.804965	−	1.39424i	0.140126	−	0.242706i
$34$	−2.11123			−0.362073
$35$	−5.85041	+	1.00083i	−0.988900	+	0.169171i
$36$	−1.00000			−0.166667
$37$	1.65311	+	0.954425i	0.271770	+	0.156906i	0.629692	−	0.776845i	$-0.283181\pi$
$37$	1.65311	+	0.954425i	0.271770	+	0.156906i	−0.357922	+	0.933752i	$0.616515\pi$
$38$	1.34041	+	4.14768i	0.217444	+	0.672843i
$39$	−0.678092	−	1.17449i	−0.108582	−	0.188069i
$40$	−1.12169	+	1.94282i	−0.177354	+	0.307186i
$41$	5.25404			0.820543			0.410271	−	0.911963i	$-0.365434\pi$
$41$	5.25404			0.820543			0.410271	+	0.911963i	$0.365434\pi$
$42$	1.69029	+	2.03542i	0.260818	+	0.314071i
$43$	2.15879			0.329212			0.164606	−	0.986359i	$-0.447365\pi$
$43$	2.15879			0.329212			0.164606	+	0.986359i	$0.447365\pi$
$44$	−0.804965	+	1.39424i	−0.121353	+	0.210190i
$45$	−1.94282	+	1.12169i	−0.289618	+	0.167211i
$46$	−5.15466	+	2.97604i	−0.760013	+	0.438794i
$47$	1.73929	+	1.00418i	0.253701	+	0.146474i	0.621458	−	0.783448i	$-0.286541\pi$
$47$	1.73929	+	1.00418i	0.253701	+	0.146474i	−0.367757	+	0.929922i	$0.619874\pi$
$48$	1.00000			0.144338
$49$	1.28583	−	6.88089i	0.183690	−	0.982984i
$50$			0.0327093i			0.00462579i
$51$	1.82838	+	1.05562i	0.256024	+	0.147816i
$52$	0.678092	+	1.17449i	0.0940345	+	0.162873i
$53$	9.58758	−	5.53539i	1.31695	−	0.760344i	0.333717	−	0.942673i	$-0.391697\pi$
$53$	9.58758	−	5.53539i	1.31695	−	0.760344i	0.983238	+	0.182329i	$0.0583636\pi$
$54$	0.866025	+	0.500000i	0.117851	+	0.0680414i
$55$			3.61167i			0.486997i
$56$	−1.69029	−	2.03542i	−0.225875	−	0.271994i
$57$	0.913009	−	4.26221i	0.120931	−	0.564543i
$58$	0.0129871	−	0.0224943i	0.00170529	−	0.00295364i
$59$	2.87431	+	4.97845i	0.374203	+	0.648139i	0.990207	−	0.139604i	$-0.0445829\pi$
$59$	2.87431	+	4.97845i	0.374203	+	0.648139i	−0.616004	+	0.787743i	$0.711250\pi$
$60$	1.94282	−	1.12169i	0.250816	−	0.144809i
$61$	7.18771	+	4.14983i	0.920292	+	0.531331i	0.883728	−	0.468000i	$-0.155025\pi$
$61$	7.18771	+	4.14983i	0.920292	+	0.531331i	0.0365639	+	0.999331i	$0.488359\pi$
$62$		−	0.790485i		−	0.100392i
$63$	−0.446127	−	2.60787i	−0.0562068	−	0.328560i
$64$	−1.00000			−0.125000
$65$	2.63482	+	1.52121i	0.326809	+	0.188683i
$66$	1.39424	−	0.804965i	0.171619	−	0.0990844i
$67$	−8.69107	+	5.01779i	−1.06178	+	0.613021i	−0.925925	−	0.377708i	$-0.876712\pi$
$67$	−8.69107	+	5.01779i	−1.06178	+	0.613021i	−0.135858	+	0.990728i	$0.543379\pi$
$68$	−1.82838	−	1.05562i	−0.221724	−	0.128012i
$69$	5.95209			0.716547
$70$	−5.56702	−	2.05846i	−0.665386	−	0.246033i
$71$		−	11.5540i		−	1.37121i	−0.727975	−	0.685604i	$-0.759538\pi$
$71$		−	11.5540i		−	1.37121i	0.727975	−	0.685604i	$-0.240462\pi$
$72$	−0.866025	−	0.500000i	−0.102062	−	0.0589256i
$73$	−6.27275	+	3.62157i	−0.734170	+	0.423873i	−0.819946	−	0.572441i	$-0.805996\pi$
$73$	−6.27275	+	3.62157i	−0.734170	+	0.423873i	0.0857759	+	0.996314i	$0.472663\pi$
$74$	0.954425	+	1.65311i	0.110950	+	0.192170i
$75$	0.0163546	−	0.0283271i	0.00188847	−	0.00327093i
$76$	−0.913009	+	4.26221i	−0.104729	+	0.488909i
$77$	−3.99511	−	1.47723i	−0.455285	−	0.168346i
$78$		−	1.35618i		−	0.153558i
$79$	−14.3105	−	8.26214i	−1.61005	−	0.929564i	−0.989357	−	0.145512i	$-0.953517\pi$
$79$	−14.3105	−	8.26214i	−1.61005	−	0.929564i	−0.620695	−	0.784052i	$-0.713149\pi$
$80$	−1.94282	+	1.12169i	−0.217213	+	0.125408i
$81$	−0.500000	−	0.866025i	−0.0555556	−	0.0962250i
$82$	4.55013	+	2.62702i	0.502478	+	0.290106i
$83$			4.18825i			0.459720i	0.973224	+	0.229860i	$0.0738268\pi$
$83$			4.18825i			0.459720i	−0.973224	+	0.229860i	$0.926173\pi$
$84$	0.446127	+	2.60787i	0.0486765	+	0.284542i
$85$	−4.73627			−0.513721
$86$	1.86957	+	1.07939i	0.201601	+	0.116394i
$87$	−0.0224943	+	0.0129871i	−0.00241164	+	0.00139236i
$88$	−1.39424	+	0.804965i	−0.148627	+	0.0858096i
$89$	4.57588	−	7.92566i	0.485043	−	0.840119i	−0.514810	−	0.857305i	$-0.672137\pi$
$89$	4.57588	−	7.92566i	0.485043	−	0.840119i	0.999852	+	0.0171860i	$0.00547074\pi$
$90$	−2.24337			−0.236472
$91$	−2.76040	+	2.29235i	−0.289369	+	0.240303i
$92$	−5.95209			−0.620548
$93$	−0.395243	+	0.684580i	−0.0409848	+	0.0709877i
$94$	1.00418	+	1.73929i	0.103573	+	0.179394i
$95$	3.00705	+	9.30479i	0.308516	+	0.954651i
$96$	0.866025	+	0.500000i	0.0883883	+	0.0510310i
$97$	2.85365			0.289744			0.144872	−	0.989450i	$-0.453723\pi$
$97$	2.85365			0.289744			0.144872	+	0.989450i	$0.453723\pi$
$98$	4.55401	−	5.31611i	0.460024	−	0.537008i
$99$	−1.60993			−0.161804
$100$	−0.0163546	+	0.0283271i	−0.00163546	+	0.00283271i
$101$	9.77591	−	5.64413i	0.972740	−	0.561611i	0.0726692	−	0.997356i	$-0.476848\pi$
$101$	9.77591	−	5.64413i	0.972740	−	0.561611i	0.900070	+	0.435745i	$0.143515\pi$
$102$	1.05562	+	1.82838i	0.104521	+	0.181036i
$103$	−2.10314	+	3.64274i	−0.207228	+	0.358930i	−0.950840	−	0.309681i	$-0.899778\pi$
$103$	−2.10314	+	3.64274i	−0.207228	+	0.358930i	0.743612	+	0.668611i	$0.233111\pi$
$104$			1.35618i			0.132985i
$105$	3.79195	+	4.56619i	0.370056	+	0.445615i
$106$	11.0708			1.07529
$107$	−4.96352	−	2.86569i	−0.479841	−	0.277036i	0.240509	−	0.970647i	$-0.422686\pi$
$107$	−4.96352	−	2.86569i	−0.479841	−	0.277036i	−0.720350	+	0.693610i	$0.756019\pi$
$108$	0.500000	+	0.866025i	0.0481125	+	0.0833333i
$109$	−5.26185	+	3.03793i	−0.503993	+	0.290981i	−0.730361	−	0.683061i	$-0.760648\pi$
$109$	−5.26185	+	3.03793i	−0.503993	+	0.290981i	0.226368	+	0.974042i	$0.427315\pi$
$110$	−1.80584	+	3.12780i	−0.172180	+	0.298224i
$111$		−	1.90885i		−	0.181180i
$112$	−0.446127	−	2.60787i	−0.0421551	−	0.246420i
$113$		−	10.4411i		−	0.982218i	−0.871098	−	0.491109i	$-0.836592\pi$
$113$		−	10.4411i		−	0.982218i	0.871098	−	0.491109i	$-0.163408\pi$
$114$	2.92179	−	3.23468i	0.273651	−	0.302955i
$115$	−11.5638	+	6.67637i	−1.07833	+	0.622575i
$116$	0.0224943	−	0.0129871i	0.00208854	−	0.00120582i
$117$	−0.678092	+	1.17449i	−0.0626897	+	0.108582i
$118$			5.74862i			0.529203i
$119$	1.93721	−	5.23911i	0.177584	−	0.480268i
$120$	2.24337			0.204791
$121$	4.20406	−	7.28165i	0.382187	−	0.661968i
$122$	4.14983	+	7.18771i	0.375708	+	0.650745i
$123$	−2.62702	−	4.55013i	−0.236870	−	0.410271i
$124$	0.395243	−	0.684580i	0.0354938	−	0.0614771i
$125$		−	11.1435i		−	0.996702i
$126$	0.917576	−	2.48154i	0.0817442	−	0.221073i
$127$		−	10.2678i		−	0.911124i	−0.890204	−	0.455562i	$-0.849438\pi$
$127$		−	10.2678i		−	0.911124i	0.890204	−	0.455562i	$-0.150562\pi$
$128$	−0.866025	−	0.500000i	−0.0765466	−	0.0441942i
$129$	−1.07939	−	1.86957i	−0.0950354	−	0.164606i
$130$	1.52121	+	2.63482i	0.133419	+	0.231089i
$131$	7.18058	+	4.14571i	0.627371	+	0.362213i	0.779733	−	0.626112i	$-0.215355\pi$
$131$	7.18058	+	4.14571i	0.627371	+	0.362213i	−0.152362	+	0.988325i	$0.548688\pi$
$132$	1.60993			0.140126
$133$	−11.5226	−	0.479518i	−0.999135	−	0.0415795i
$134$	−10.0356			−0.866942
$135$	1.94282	+	1.12169i	0.167211	+	0.0965393i
$136$	−1.05562	−	1.82838i	−0.0905182	−	0.156782i
$137$	1.66119	+	2.87726i	0.141925	+	0.245821i	0.928221	−	0.372028i	$-0.121337\pi$
$137$	1.66119	+	2.87726i	0.141925	+	0.245821i	−0.786296	+	0.617849i	$0.788004\pi$
$138$	5.15466	+	2.97604i	0.438794	+	0.253338i
$139$		−	13.4347i		−	1.13951i	−0.821814	−	0.569756i	$-0.807038\pi$
$139$		−	13.4347i		−	1.13951i	0.821814	−	0.569756i	$-0.192962\pi$
$140$	−3.79195	−	4.56619i	−0.320478	−	0.385913i
$141$		−	2.00836i		−	0.169134i
$142$	5.77700	−	10.0061i	0.484795	−	0.839690i
$143$	1.09168	+	1.89085i	0.0912910	+	0.158121i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	0.0291348	−	0.0504630i	0.00241951	−	0.00419072i
$146$	−7.24315			−0.599447
$147$	−6.60194	+	2.32688i	−0.544519	+	0.191918i
$148$			1.90885i			0.156906i
$149$	6.27765	−	10.8732i	0.514285	−	0.890768i	−0.485577	−	0.874194i	$-0.661391\pi$
$149$	6.27765	−	10.8732i	0.514285	−	0.890768i	0.999863	−	0.0165747i	$-0.00527613\pi$
$150$	0.0283271	−	0.0163546i	0.00231289	−	0.00133535i
$151$	−8.47584	+	4.89353i	−0.689754	+	0.398230i	−0.803520	−	0.595278i	$-0.797042\pi$
$151$	−8.47584	+	4.89353i	−0.689754	+	0.398230i	0.113766	+	0.993508i	$0.463709\pi$
$152$	−2.92179	+	3.23468i	−0.236989	+	0.262367i
$153$		−	2.11123i		−	0.170683i
$154$	−2.72125	−	3.27688i	−0.219285	−	0.264058i
$155$		−	1.77335i		−	0.142439i
$156$	0.678092	−	1.17449i	0.0542908	−	0.0940345i
$157$	2.80063	−	1.61695i	0.223515	−	0.129046i	−0.384062	−	0.923307i	$-0.625475\pi$
$157$	2.80063	−	1.61695i	0.223515	−	0.129046i	0.607577	+	0.794261i	$0.292142\pi$
$158$	−8.26214	−	14.3105i	−0.657301	−	1.13848i
$159$	−9.58758	−	5.53539i	−0.760344	−	0.438985i
$160$	−2.24337			−0.177354
$161$	−2.65539	−	15.5223i	−0.209274	−	1.22332i
$162$		−	1.00000i		−	0.0785674i
$163$	10.0081	−	17.3346i	0.783898	−	1.35775i	−0.145758	−	0.989320i	$-0.546562\pi$
$163$	10.0081	−	17.3346i	0.783898	−	1.35775i	0.929655	−	0.368430i	$-0.120105\pi$
$164$	2.62702	+	4.55013i	0.205136	+	0.355305i
$165$	3.12780	−	1.80584i	0.243499	−	0.140584i
$166$	−2.09412	+	3.62713i	−0.162535	+	0.281520i
$167$	−3.09053			−0.239152			−0.119576	−	0.992825i	$-0.538154\pi$
$167$	−3.09053			−0.239152			−0.119576	+	0.992825i	$0.538154\pi$
$168$	−0.917576	+	2.48154i	−0.0707925	+	0.191455i
$169$	−11.1608			−0.858520
$170$	−4.10173	−	2.36814i	−0.314588	−	0.181628i
$171$	−4.14768	+	1.34041i	−0.317181	+	0.102504i
$172$	1.07939	+	1.86957i	0.0823031	+	0.142553i
$173$	−1.93196	+	3.34625i	−0.146884	+	0.254411i	−0.930074	−	0.367372i	$-0.880258\pi$
$173$	−1.93196	+	3.34625i	−0.146884	+	0.254411i	0.783190	+	0.621782i	$0.213591\pi$
$174$	−0.0259741			−0.00196910
$175$	−0.0811694	−	0.0300132i	−0.00613583	−	0.00226879i
$176$	−1.60993			−0.121353
$177$	2.87431	−	4.97845i	0.216046	−	0.374203i
$178$	7.92566	−	4.57588i	0.594054	−	0.342977i
$179$	9.26318	−	5.34810i	0.692362	−	0.399736i	−0.112134	−	0.993693i	$-0.535769\pi$
$179$	9.26318	−	5.34810i	0.692362	−	0.399736i	0.804496	+	0.593958i	$0.202435\pi$
$180$	−1.94282	−	1.12169i	−0.144809	−	0.0836055i
$181$	8.79789			0.653942			0.326971	−	0.945034i	$-0.393972\pi$
$181$	8.79789			0.653942			0.326971	+	0.945034i	$0.393972\pi$
$182$	−3.53675	+	0.605031i	−0.262161	+	0.0448479i
$183$		−	8.29965i		−	0.613528i
$184$	−5.15466	−	2.97604i	−0.380007	−	0.219397i
$185$	2.14113	+	3.70854i	0.157419	+	0.272658i
$186$	−0.684580	+	0.395243i	−0.0501959	+	0.0289806i
$187$	−2.94356	−	1.69947i	−0.215255	−	0.124277i
$188$			2.00836i			0.146474i
$189$	−2.03542	+	1.69029i	−0.148055	+	0.122951i
$190$	−2.04822	+	9.56171i	−0.148593	+	0.693679i
$191$	4.74209	−	8.21354i	0.343125	−	0.594311i	−0.641886	−	0.766800i	$-0.721848\pi$
$191$	4.74209	−	8.21354i	0.343125	−	0.594311i	0.985011	+	0.172489i	$0.0551811\pi$
$192$	0.500000	+	0.866025i	0.0360844	+	0.0625000i
$193$	−19.8153	+	11.4404i	−1.42634	+	0.823496i	−0.996829	−	0.0795679i	$-0.974646\pi$
$193$	−19.8153	+	11.4404i	−1.42634	+	0.823496i	−0.429507	+	0.903064i	$0.641313\pi$
$194$	2.47133	+	1.42682i	0.177431	+	0.102440i
$195$		−	3.04242i		−	0.217873i
$196$	6.60194	−	2.32688i	0.471567	−	0.166206i
$197$	6.72230			0.478944			0.239472	−	0.970903i	$-0.423026\pi$
$197$	6.72230			0.478944			0.239472	+	0.970903i	$0.423026\pi$
$198$	−1.39424	−	0.804965i	−0.0990844	−	0.0572064i
$199$	−9.79141	+	5.65307i	−0.694095	+	0.400736i	−0.805144	−	0.593079i	$-0.797912\pi$
$199$	−9.79141	+	5.65307i	−0.694095	+	0.400736i	0.111049	+	0.993815i	$0.464579\pi$
$200$	−0.0283271	+	0.0163546i	−0.00200303	+	0.00115645i
$201$	8.69107	+	5.01779i	0.613021	+	0.353928i
$202$	11.2883			0.794239
$203$	0.0439039	+	0.0528682i	0.00308145	+	0.00371062i
$204$			2.11123i			0.147816i
$205$	10.2076	+	5.89337i	0.712931	+	0.411611i
$206$	−3.64274	+	2.10314i	−0.253802	+	0.146532i
$207$	−2.97604	−	5.15466i	−0.206849	−	0.358274i
$208$	−0.678092	+	1.17449i	−0.0470173	+	0.0814363i
$209$	−1.46988	+	6.86186i	−0.101674	+	0.474645i
$210$	1.00083	+	5.85041i	0.0690638	+	0.403717i
$211$			20.2241i			1.39228i	0.717904	+	0.696142i	$0.245101\pi$
$211$			20.2241i			1.39228i	−0.717904	+	0.696142i	$0.754899\pi$
$212$	9.58758	+	5.53539i	0.658477	+	0.380172i
$213$	−10.0061	+	5.77700i	−0.685604	+	0.395834i
$214$	−2.86569	−	4.96352i	−0.195894	−	0.339299i
$215$	4.19413	+	2.42148i	0.286037	+	0.165144i
$216$			1.00000i			0.0680414i
$217$	1.96162	+	0.725330i	0.133164	+	0.0492386i
$218$	−6.07586			−0.411509
$219$	6.27275	+	3.62157i	0.423873	+	0.244723i
$220$	−3.12780	+	1.80584i	−0.210876	+	0.121749i
$221$	−2.47962	+	1.43161i	−0.166797	+	0.0963005i
$222$	0.954425	−	1.65311i	0.0640568	−	0.110950i
$223$	17.1877			1.15098			0.575488	−	0.817810i	$-0.304812\pi$
$223$	17.1877			1.15098			0.575488	+	0.817810i	$0.304812\pi$
$224$	0.917576	−	2.48154i	0.0613081	−	0.165805i
$225$	−0.0327093			−0.00218062
$226$	5.22056	−	9.04228i	0.347267	−	0.601484i
$227$	0.992963	+	1.71986i	0.0659053	+	0.114151i	0.897095	−	0.441837i	$-0.145673\pi$
$227$	0.992963	+	1.71986i	0.0659053	+	0.114151i	−0.831190	+	0.555989i	$0.812340\pi$
$228$	4.14768	−	1.34041i	0.274687	−	0.0887711i
$229$	−0.870078	−	0.502340i	−0.0574963	−	0.0331955i	0.470976	−	0.882146i	$-0.343902\pi$
$229$	−0.870078	−	0.502340i	−0.0574963	−	0.0331955i	−0.528473	+	0.848950i	$0.677235\pi$
$230$	−13.3527			−0.880453
$231$	0.718234	+	4.19848i	0.0472563	+	0.276240i
$232$	0.0259741			0.00170529
$233$	12.0977	−	20.9538i	0.792546	−	1.37273i	−0.131839	−	0.991271i	$-0.542088\pi$
$233$	12.0977	−	20.9538i	0.792546	−	1.37273i	0.924386	−	0.381460i	$-0.124578\pi$
$234$	−1.17449	+	0.678092i	−0.0767788	+	0.0443283i
$235$	2.25274	+	3.90187i	0.146953	+	0.254530i
$236$	−2.87431	+	4.97845i	−0.187102	+	0.324070i
$237$			16.5243i			1.07337i
$238$	4.29723	−	3.56859i	0.278548	−	0.231318i
$239$	1.99778			0.129225			0.0646127	−	0.997910i	$-0.479419\pi$
$239$	1.99778			0.129225			0.0646127	+	0.997910i	$0.479419\pi$
$240$	1.94282	+	1.12169i	0.125408	+	0.0724045i
$241$	−9.92784	−	17.1955i	−0.639508	−	1.10766i	−0.985541	−	0.169439i	$-0.945805\pi$
$241$	−9.92784	−	17.1955i	−0.639508	−	1.10766i	0.346032	−	0.938223i	$-0.387529\pi$
$242$	7.28165	−	4.20406i	0.468082	−	0.270247i
$243$	−0.500000	+	0.866025i	−0.0320750	+	0.0555556i
$244$			8.29965i			0.531331i
$245$	10.2163	−	11.9260i	0.652697	−	0.761924i
$246$		−	5.25404i		−	0.334985i
$247$	4.38682	+	3.96249i	0.279127	+	0.252127i
$248$	0.684580	−	0.395243i	0.0434709	−	0.0250979i
$249$	3.62713	−	2.09412i	0.229860	−	0.132710i
$250$	5.57174	−	9.65053i	0.352388	−	0.610353i
$251$			21.4608i			1.35459i	0.735711	+	0.677296i	$0.236848\pi$
$251$			21.4608i			1.35459i	−0.735711	+	0.677296i	$0.763152\pi$
$252$	2.03542	−	1.69029i	0.128219	−	0.106478i
$253$	−9.58245			−0.602443
$254$	5.13392	−	8.89221i	0.322131	−	0.557947i
$255$	2.36814	+	4.10173i	0.148298	+	0.256860i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−13.2758	+	22.9944i	−0.828122	+	1.43435i	0.0713881	+	0.997449i	$0.477257\pi$
$257$	−13.2758	+	22.9944i	−0.828122	+	1.43435i	−0.899510	+	0.436900i	$0.856076\pi$
$258$		−	2.15879i		−	0.134400i
$259$	−4.97803	+	0.851590i	−0.309320	+	0.0529152i
$260$			3.04242i			0.188683i
$261$	0.0224943	+	0.0129871i	0.00139236	+	0.000803880i
$262$	4.14571	+	7.18058i	0.256123	+	0.443618i
$263$	3.96681	+	6.87071i	0.244604	+	0.423666i	0.962020	−	0.272978i	$-0.0880088\pi$
$263$	3.96681	+	6.87071i	0.244604	+	0.423666i	−0.717416	+	0.696645i	$0.754675\pi$
$264$	1.39424	+	0.804965i	0.0858096	+	0.0495422i
$265$	24.8359			1.52565
$266$	−9.73910	−	6.17657i	−0.597142	−	0.378710i
$267$	−9.15177			−0.560079
$268$	−8.69107	−	5.01779i	−0.530891	−	0.306510i
$269$	−2.51233	−	4.35148i	−0.153179	−	0.265315i	0.779215	−	0.626757i	$-0.215618\pi$
$269$	−2.51233	−	4.35148i	−0.153179	−	0.265315i	−0.932395	+	0.361442i	$0.882285\pi$
$270$	1.12169	+	1.94282i	0.0682636	+	0.118236i
$271$	18.5790	+	10.7266i	1.12860	+	0.651595i	0.943581	−	0.331141i	$-0.107433\pi$
$271$	18.5790	+	10.7266i	1.12860	+	0.651595i	0.185014	+	0.982736i	$0.440767\pi$
$272$		−	2.11123i		−	0.128012i
$273$	3.36543	+	1.24440i	0.203685	+	0.0753147i
$274$			3.32238i			0.200712i
$275$	−0.0263298	+	0.0456046i	−0.00158775	+	0.00275006i
$276$	2.97604	+	5.15466i	0.179137	+	0.310274i
$277$	−2.19895	−	3.80870i	−0.132122	−	0.228842i	0.792372	−	0.610038i	$-0.208846\pi$
$277$	−2.19895	−	3.80870i	−0.132122	−	0.228842i	−0.924494	+	0.381196i	$0.875512\pi$
$278$	6.71733	−	11.6348i	0.402879	−	0.697806i
$279$	0.790485			0.0473251
$280$	−1.00083	−	5.85041i	−0.0598110	−	0.349629i
$281$			12.5685i			0.749775i	0.927070	+	0.374888i	$0.122319\pi$
$281$			12.5685i			0.749775i	−0.927070	+	0.374888i	$0.877681\pi$
$282$	1.00418	−	1.73929i	0.0597980	−	0.103573i
$283$	−5.83229	+	3.36727i	−0.346694	+	0.200164i	−0.663228	−	0.748417i	$-0.730814\pi$
$283$	−5.83229	+	3.36727i	−0.346694	+	0.200164i	0.316534	+	0.948581i	$0.397481\pi$
$284$	10.0061	−	5.77700i	0.593751	−	0.342802i
$285$	6.55466	−	7.25657i	0.388265	−	0.429842i
$286$			2.18336i			0.129105i
$287$	−10.6941	+	8.88085i	−0.631256	+	0.524220i
$288$		−	1.00000i		−	0.0589256i
$289$	−6.27135	+	10.8623i	−0.368903	+	0.638959i
$290$	0.0504630	−	0.0291348i	0.00296329	−	0.00171086i
$291$	−1.42682	−	2.47133i	−0.0836419	−	0.144872i
$292$	−6.27275	−	3.62157i	−0.367085	−	0.211937i
$293$	21.3825			1.24918			0.624589	−	0.780954i	$-0.285267\pi$
$293$	21.3825			1.24918			0.624589	+	0.780954i	$0.285267\pi$
$294$	−6.88089	−	1.28583i	−0.401302	−	0.0749912i
$295$			12.8963i			0.750851i
$296$	−0.954425	+	1.65311i	−0.0554748	+	0.0960852i
$297$	0.804965	+	1.39424i	0.0467088	+	0.0809021i
$298$	10.8732	−	6.27765i	0.629868	−	0.363655i
$299$	−4.03607	+	6.99067i	−0.233412	+	0.404281i
$300$	0.0327093			0.00188847
$301$	−4.39403	+	3.64898i	−0.253268	+	0.210324i
$302$	−9.78706			−0.563182
$303$	−9.77591	−	5.64413i	−0.561611	−	0.324247i
$304$	−4.14768	+	1.34041i	−0.237886	+	0.0768781i
$305$	9.30960	+	16.1247i	0.533066	+	0.923298i
$306$	1.05562	−	1.82838i	0.0603455	−	0.104521i
$307$	−24.3299			−1.38858			−0.694290	−	0.719695i	$-0.744282\pi$
$307$	−24.3299			−1.38858			−0.694290	+	0.719695i	$0.744282\pi$
$308$	−0.718234	−	4.19848i	−0.0409252	−	0.239231i
$309$	4.20627			0.239286
$310$	0.886675	−	1.53577i	0.0503598	−	0.0872257i
$311$	28.1525	−	16.2539i	1.59638	−	0.921672i	0.604206	−	0.796828i	$-0.293490\pi$
$311$	28.1525	−	16.2539i	1.59638	−	0.921672i	0.992176	−	0.124844i	$-0.0398430\pi$
$312$	1.17449	−	0.678092i	0.0664924	−	0.0383894i
$313$	12.7278	+	7.34842i	0.719419	+	0.415357i	0.814539	−	0.580109i	$-0.196990\pi$
$313$	12.7278	+	7.34842i	0.719419	+	0.415357i	−0.0951195	+	0.995466i	$0.530323\pi$
$314$	3.23389			0.182499
$315$	2.05846	−	5.56702i	0.115981	−	0.313666i
$316$		−	16.5243i		−	0.929564i
$317$	−9.25710	−	5.34459i	−0.519930	−	0.300182i	0.216976	−	0.976177i	$-0.430381\pi$
$317$	−9.25710	−	5.34459i	−0.519930	−	0.300182i	−0.736906	+	0.675995i	$0.763714\pi$
$318$	−5.53539	−	9.58758i	−0.310409	−	0.537645i
$319$	0.0362142	−	0.0209083i	0.00202761	−	0.00117064i
$320$	−1.94282	−	1.12169i	−0.108607	−	0.0627041i
$321$			5.73137i			0.319894i
$322$	5.46149	−	14.7704i	0.304357	−	0.823120i
$323$	−8.99850	−	1.92757i	−0.500690	−	0.107253i
$324$	0.500000	−	0.866025i	0.0277778	−	0.0481125i
$325$	0.0221799	+	0.0384167i	0.00123032	+	0.00213098i
$326$	17.3346	−	10.0081i	0.960075	−	0.554299i
$327$	5.26185	+	3.03793i	0.290981	+	0.167998i
$328$			5.25404i			0.290106i
$329$	−5.23753	+	0.895983i	−0.288754	+	0.0493971i
$330$	3.61167			0.198816
$331$	−13.6067	−	7.85581i	−0.747890	−	0.431794i	0.0770410	−	0.997028i	$-0.475453\pi$
$331$	−13.6067	−	7.85581i	−0.747890	−	0.431794i	−0.824931	+	0.565233i	$0.808786\pi$
$332$	−3.62713	+	2.09412i	−0.199064	+	0.114930i
$333$	−1.65311	+	0.954425i	−0.0905900	+	0.0523022i
$334$	−2.67648	−	1.54527i	−0.146450	−	0.0845532i
$335$	−22.5135			−1.23004
$336$	−2.03542	+	1.69029i	−0.111041	+	0.0922129i
$337$			30.6756i			1.67100i	0.549487	+	0.835502i	$0.314823\pi$
$337$			30.6756i			1.67100i	−0.549487	+	0.835502i	$0.685177\pi$
$338$	−9.66550	−	5.58038i	−0.525734	−	0.303533i
$339$	−9.04228	+	5.22056i	−0.491109	+	0.283542i
$340$	−2.36814	−	4.10173i	−0.128430	−	0.222448i
$341$	0.636313	−	1.10213i	0.0344583	−	0.0596835i
$342$	−4.26221	−	0.913009i	−0.230474	−	0.0493699i
$343$	9.01350	+	16.1789i	0.486684	+	0.873578i
$344$			2.15879i			0.116394i
$345$	11.5638	+	6.67637i	0.622575	+	0.359444i
$346$	−3.34625	+	1.93196i	−0.179896	+	0.103863i
$347$	−0.708212	−	1.22666i	−0.0380188	−	0.0658505i	0.846390	−	0.532564i	$-0.178771\pi$
$347$	−0.708212	−	1.22666i	−0.0380188	−	0.0658505i	−0.884409	+	0.466713i	$0.845438\pi$
$348$	−0.0224943	−	0.0129871i	−0.00120582	−	0.000696180i
$349$		−	11.2182i		−	0.600497i	−0.953861	−	0.300249i	$-0.902930\pi$
$349$		−	11.2182i		−	0.600497i	0.953861	−	0.300249i	$-0.0970696\pi$
$350$	−0.0552882	−	0.0665769i	−0.00295528	−	0.00355869i
$351$	1.35618			0.0723878
$352$	−1.39424	−	0.804965i	−0.0743133	−	0.0429048i
$353$	−16.7147	+	9.65024i	−0.889634	+	0.513631i	−0.873823	−	0.486244i	$-0.838367\pi$
$353$	−16.7147	+	9.65024i	−0.889634	+	0.513631i	−0.0158116	+	0.999875i	$0.505033\pi$
$354$	4.97845	−	2.87431i	0.264602	−	0.152768i
$355$	12.9600	−	22.4473i	0.687843	−	1.19138i
$356$	9.15177			0.485043
$357$	−5.50581	+	0.941878i	−0.291398	+	0.0498494i
$358$	10.6962			0.565311
$359$	15.9474	−	27.6217i	0.841673	−	1.45782i	−0.0468069	−	0.998904i	$-0.514905\pi$
$359$	15.9474	−	27.6217i	0.841673	−	1.45782i	0.888480	−	0.458916i	$-0.151762\pi$
$360$	−1.12169	−	1.94282i	−0.0591180	−	0.102395i
$361$	1.92625	+	18.9021i	0.101382	+	0.994848i
$362$	7.61919	+	4.39894i	0.400456	+	0.231203i
$363$	−8.40812			−0.441312
$364$	−3.36543	−	1.24440i	−0.176397	−	0.0652244i
$365$	−16.2491			−0.850515
$366$	4.14983	−	7.18771i	0.216915	−	0.375708i
$367$	−19.0364	+	10.9907i	−0.993693	+	0.573709i	−0.906376	−	0.422472i	$-0.861163\pi$
$367$	−19.0364	+	10.9907i	−0.993693	+	0.573709i	−0.0873170	+	0.996181i	$0.527829\pi$
$368$	−2.97604	−	5.15466i	−0.155137	−	0.268705i
$369$	−2.62702	+	4.55013i	−0.136757	+	0.236870i
$370$			4.28226i			0.222624i
$371$	−10.1583	+	27.4726i	−0.527392	+	1.42631i
$372$	−0.790485			−0.0409848
$373$	−8.70410	−	5.02532i	−0.450681	−	0.260201i	0.257437	−	0.966295i	$-0.417122\pi$
$373$	−8.70410	−	5.02532i	−0.450681	−	0.260201i	−0.708118	+	0.706094i	$0.750455\pi$
$374$	−1.69947	−	2.94356i	−0.0878773	−	0.152208i
$375$	−9.65053	+	5.57174i	−0.498351	+	0.287723i
$376$	−1.00418	+	1.73929i	−0.0517865	+	0.0896969i
$377$		−	0.0352257i		−	0.00181422i
$378$	−2.60787	+	0.446127i	−0.134134	+	0.0229463i
$379$		−	13.7164i		−	0.704565i	−0.935894	−	0.352282i	$-0.885406\pi$
$379$		−	13.7164i		−	0.704565i	0.935894	−	0.352282i	$-0.114594\pi$
$380$	−6.55466	+	7.25657i	−0.336247	+	0.372254i
$381$	−8.89221	+	5.13392i	−0.455562	+	0.263019i
$382$	8.21354	−	4.74209i	0.420241	−	0.242626i
$383$	15.4039	−	26.6803i	0.787101	−	1.36330i	−0.140634	−	0.990062i	$-0.544914\pi$
$383$	15.4039	−	26.6803i	0.787101	−	1.36330i	0.927736	−	0.373238i	$-0.121752\pi$
$384$			1.00000i			0.0510310i
$385$	−6.10477	−	7.35125i	−0.311128	−	0.374654i
$386$	−22.8807			−1.16460
$387$	−1.07939	+	1.86957i	−0.0548687	+	0.0950354i
$388$	1.42682	+	2.47133i	0.0724360	+	0.125463i
$389$	5.80891	+	10.0613i	0.294523	+	0.510130i	0.974874	−	0.222757i	$-0.0715058\pi$
$389$	5.80891	+	10.0613i	0.294523	+	0.510130i	−0.680350	+	0.732887i	$0.738172\pi$
$390$	1.52121	−	2.63482i	0.0770296	−	0.133419i
$391$		−	12.5662i		−	0.635501i
$392$	6.88089	+	1.28583i	0.347537	+	0.0649443i
$393$		−	8.29142i		−	0.418247i
$394$	5.82169	+	3.36115i	0.293292	+	0.169332i
$395$	−18.5350	−	32.1036i	−0.932599	−	1.61531i
$396$	−0.804965	−	1.39424i	−0.0404510	−	0.0700632i
$397$	6.73975	+	3.89120i	0.338259	+	0.195294i	0.659502	−	0.751703i	$-0.270767\pi$
$397$	6.73975	+	3.89120i	0.338259	+	0.195294i	−0.321243	+	0.946997i	$0.604101\pi$
$398$	−11.3061			−0.566726
$399$	5.34602	+	10.2186i	0.267636	+	0.511571i
$400$	−0.0327093			−0.00163546
$401$	11.7854	+	6.80432i	0.588537	+	0.339792i	0.764519	−	0.644602i	$-0.222977\pi$
$401$	11.7854	+	6.80432i	0.588537	+	0.339792i	−0.175982	+	0.984393i	$0.556310\pi$
$402$	5.01779	+	8.69107i	0.250265	+	0.433471i
$403$	−0.536022	−	0.928417i	−0.0267012	−	0.0462478i
$404$	9.77591	+	5.64413i	0.486370	+	0.280806i
$405$		−	2.24337i		−	0.111474i
$406$	0.0115878	+	0.0677371i	0.000575092	+	0.00336174i
$407$			3.07312i			0.152329i
$408$	−1.05562	+	1.82838i	−0.0522607	+	0.0905182i
$409$	−2.57781	−	4.46490i	−0.127465	−	0.220775i	0.795229	−	0.606309i	$-0.207351\pi$
$409$	−2.57781	−	4.46490i	−0.127465	−	0.220775i	−0.922694	+	0.385534i	$0.874017\pi$
$410$	5.89337	+	10.2076i	0.291053	+	0.504119i
$411$	1.66119	−	2.87726i	0.0819404	−	0.141925i
$412$	−4.20627			−0.207228
$413$	−14.2654	−	5.27479i	−0.701957	−	0.259556i
$414$		−	5.95209i		−	0.292529i
$415$	−4.69789	+	8.13699i	−0.230610	+	0.399429i
$416$	−1.17449	+	0.678092i	−0.0575841	+	0.0332462i
$417$	−11.6348	+	6.71733i	−0.569756	+	0.328949i
$418$	−4.70388	+	5.20760i	−0.230074	+	0.254712i
$419$			29.8279i			1.45719i	0.684946	+	0.728594i	$0.259826\pi$
$419$			29.8279i			1.45719i	−0.684946	+	0.728594i	$0.740174\pi$
$420$	−2.05846	+	5.56702i	−0.100443	+	0.271643i
$421$			21.3904i			1.04250i	0.853403	+	0.521251i	$0.174535\pi$
$421$			21.3904i			1.04250i	−0.853403	+	0.521251i	$0.825465\pi$
$422$	−10.1120	+	17.5146i	−0.492246	+	0.852596i
$423$	−1.73929	+	1.00418i	−0.0845671	+	0.0488248i
$424$	5.53539	+	9.58758i	0.268822	+	0.465614i
$425$	−0.0598049	−	0.0345284i	−0.00290097	−	0.00167487i
$426$	−11.5540			−0.559793
$427$	−21.6444	+	3.70270i	−1.04745	+	0.179186i
$428$		−	5.73137i		−	0.277036i
$429$	1.09168	−	1.89085i	0.0527069	−	0.0912910i
$430$	2.42148	+	4.19413i	0.116774	+	0.202259i
$431$	−0.567786	+	0.327812i	−0.0273493	+	0.0157901i	−0.513612	−	0.858022i	$-0.671693\pi$
$431$	−0.567786	+	0.327812i	−0.0273493	+	0.0157901i	0.486263	+	0.873812i	$0.338360\pi$
$432$	−0.500000	+	0.866025i	−0.0240563	+	0.0416667i
$433$	40.3329			1.93827			0.969137	−	0.246523i	$-0.0792880\pi$
$433$	40.3329			1.93827			0.969137	+	0.246523i	$0.0792880\pi$
$434$	1.33615	+	1.60897i	0.0641373	+	0.0772328i
$435$	−0.0582696			−0.00279381
$436$	−5.26185	−	3.03793i	−0.251997	−	0.145490i
$437$	−24.6874	+	7.97827i	−1.18096	+	0.381652i
$438$	3.62157	+	6.27275i	0.173045	+	0.299724i
$439$	6.50993	−	11.2755i	0.310702	−	0.538151i	−0.667813	−	0.744329i	$-0.732769\pi$
$439$	6.50993	−	11.2755i	0.310702	−	0.538151i	0.978515	+	0.206178i	$0.0661026\pi$
$440$	−3.61167			−0.172180
$441$	5.31611	+	4.55401i	0.253148	+	0.216857i
$442$	−2.86322			−0.136189
$443$	−17.4705	+	30.2598i	−0.830048	+	1.43769i	0.0679508	+	0.997689i	$0.478354\pi$
$443$	−17.4705	+	30.2598i	−0.830048	+	1.43769i	−0.897999	+	0.439997i	$0.854979\pi$
$444$	1.65311	−	0.954425i	0.0784532	−	0.0452950i
$445$	17.7802	−	10.2654i	0.842862	−	0.486627i
$446$	14.8850	+	8.59386i	0.704826	+	0.406931i
$447$	−12.5553			−0.593846
$448$	2.03542	−	1.69029i	0.0961643	−	0.0798588i
$449$		−	13.6664i		−	0.644956i	−0.946577	−	0.322478i	$-0.895484\pi$
$449$		−	13.6664i		−	0.644956i	0.946577	−	0.322478i	$-0.104516\pi$
$450$	−0.0283271	−	0.0163546i	−0.00133535	−	0.000770965i
$451$	4.22932	+	7.32539i	0.199151	+	0.344939i
$452$	9.04228	−	5.22056i	0.425313	−	0.245555i
$453$	8.47584	+	4.89353i	0.398230	+	0.229918i
$454$			1.98593i			0.0932042i
$455$	−7.93424	+	1.35731i	−0.371963	+	0.0636316i
$456$	4.26221	+	0.913009i	0.199596	+	0.0427556i
$457$	−14.5046	+	25.1227i	−0.678496	+	1.17519i	0.296937	+	0.954897i	$0.404035\pi$
$457$	−14.5046	+	25.1227i	−0.678496	+	1.17519i	−0.975434	+	0.220293i	$0.929299\pi$
$458$	−0.502340	−	0.870078i	−0.0234728	−	0.0406561i
$459$	−1.82838	+	1.05562i	−0.0853414	+	0.0492719i
$460$	−11.5638	−	6.67637i	−0.539165	−	0.311287i
$461$		−	16.7451i		−	0.779895i	−0.920837	−	0.389948i	$-0.872493\pi$
$461$		−	16.7451i		−	0.779895i	0.920837	−	0.389948i	$-0.127507\pi$
$462$	−1.47723	+	3.99511i	−0.0687271	+	0.185869i
$463$	14.4518			0.671631			0.335815	−	0.941928i	$-0.390988\pi$
$463$	14.4518			0.671631			0.335815	+	0.941928i	$0.390988\pi$
$464$	0.0224943	+	0.0129871i	0.00104427	+	0.000602910i
$465$	−1.53577	+	0.886675i	−0.0712195	+	0.0411186i
$466$	20.9538	−	12.0977i	0.970667	−	0.560415i
$467$	−5.50108	−	3.17605i	−0.254560	−	0.146970i	0.367291	−	0.930106i	$-0.380285\pi$
$467$	−5.50108	−	3.17605i	−0.254560	−	0.146970i	−0.621850	+	0.783136i	$0.713619\pi$
$468$	−1.35618			−0.0626897
$469$	9.20840	−	24.9037i	0.425205	−	1.14995i
$470$			4.50549i			0.207823i
$471$	−2.80063	−	1.61695i	−0.129046	−	0.0745050i
$472$	−4.97845	+	2.87431i	−0.229152	+	0.132301i
$473$	1.73775	+	3.00987i	0.0799019	+	0.138394i
$474$	−8.26214	+	14.3105i	−0.379493	+	0.657301i
$475$	−0.0298638	+	0.139414i	−0.00137025	+	0.00639674i
$476$	5.50581	−	0.941878i	0.252358	−	0.0431709i
$477$			11.0708i			0.506896i
$478$	1.73012	+	0.998888i	0.0791340	+	0.0456881i
$479$	−13.8173	+	7.97745i	−0.631331	+	0.364499i	−0.781267	−	0.624197i	$-0.785426\pi$
$479$	−13.8173	+	7.97745i	−0.631331	+	0.364499i	0.149936	+	0.988696i	$0.452093\pi$
$480$	1.12169	+	1.94282i	0.0511977	+	0.0886770i
$481$	2.24193	+	1.29438i	0.102223	+	0.0590185i
$482$		−	19.8557i		−	0.904402i
$483$	−12.1150	+	10.0608i	−0.551250	+	0.457780i
$484$	8.40812			0.382187
$485$	5.54411	+	3.20089i	0.251745	+	0.145345i
$486$	−0.866025	+	0.500000i	−0.0392837	+	0.0226805i
$487$	−0.588517	+	0.339781i	−0.0266683	+	0.0153969i	−0.513275	−	0.858224i	$-0.671568\pi$
$487$	−0.588517	+	0.339781i	−0.0266683	+	0.0153969i	0.486607	+	0.873621i	$0.338235\pi$
$488$	−4.14983	+	7.18771i	−0.187854	+	0.325372i
$489$	−20.0163			−0.905167
$490$	14.8106	−	5.22006i	0.669075	−	0.235818i
$491$	23.5083			1.06091			0.530457	−	0.847712i	$-0.322020\pi$
$491$	23.5083			1.06091			0.530457	+	0.847712i	$0.322020\pi$
$492$	2.62702	−	4.55013i	0.118435	−	0.205136i
$493$	0.0274187	+	0.0474906i	0.00123488	+	0.00213887i
$494$	1.81785	+	5.62503i	0.0817890	+	0.253082i
$495$	−3.12780	−	1.80584i	−0.140584	−	0.0811662i
$496$	0.790485			0.0354938
$497$	19.5296	+	23.5172i	0.876024	+	1.05489i
$498$	4.18825			0.187680
$499$	17.9111	−	31.0230i	0.801812	−	1.38878i	−0.116610	−	0.993178i	$-0.537203\pi$
$499$	17.9111	−	31.0230i	0.801812	−	1.38878i	0.918422	−	0.395602i	$-0.129464\pi$
$500$	9.65053	−	5.57174i	0.431585	−	0.249176i
$501$	1.54527	+	2.67648i	0.0690374	+	0.119576i
$502$	−10.7304	+	18.5856i	−0.478921	+	0.829515i
$503$			28.3461i			1.26389i	0.775013	+	0.631946i	$0.217743\pi$
$503$			28.3461i			1.26389i	−0.775013	+	0.631946i	$0.782257\pi$
$504$	2.60787	−	0.446127i	0.116164	−	0.0198721i
$505$	25.3237			1.12689
$506$	−8.29864	−	4.79122i	−0.368920	−	0.212996i
$507$	5.58038	+	9.66550i	0.247833	+	0.429260i
$508$	8.89221	−	5.13392i	0.394528	−	0.227781i
$509$	5.34614	−	9.25978i	0.236963	−	0.410433i	−0.722878	−	0.690976i	$-0.757181\pi$
$509$	5.34614	−	9.25978i	0.236963	−	0.410433i	0.959841	+	0.280543i	$0.0905145\pi$
$510$			4.73627i			0.209726i
$511$	6.64614	−	17.9742i	0.294008	−	0.795131i
$512$		−	1.00000i		−	0.0441942i
$513$	3.23468	+	2.92179i	0.142814	+	0.129000i
$514$	−22.9944	+	13.2758i	−1.01424	+	0.585571i
$515$	−8.17201	+	4.71811i	−0.360102	+	0.207905i
$516$	1.07939	−	1.86957i	0.0475177	−	0.0823031i
$517$			3.23332i			0.142201i
$518$	−4.73689	−	1.75151i	−0.208127	−	0.0769571i
$519$	3.86392			0.169607
$520$	−1.52121	+	2.63482i	−0.0667096	+	0.115544i
$521$	1.88335	+	3.26206i	0.0825110	+	0.142913i	0.904328	−	0.426838i	$-0.140373\pi$
$521$	1.88335	+	3.26206i	0.0825110	+	0.142913i	−0.821817	+	0.569752i	$0.807039\pi$
$522$	0.0129871	+	0.0224943i	0.000568429	+	0.000984548i
$523$	−0.855257	+	1.48135i	−0.0373978	+	0.0647748i	−0.884118	−	0.467263i	$-0.845240\pi$
$523$	−0.855257	+	1.48135i	−0.0373978	+	0.0647748i	0.846721	+	0.532038i	$0.178574\pi$
$524$			8.29142i			0.362213i
$525$	0.0145925	+	0.0853014i	0.000636869	+	0.00372286i
$526$			7.93362i			0.345922i
$527$	1.44531	+	0.834448i	0.0629585	+	0.0363491i
$528$	0.804965	+	1.39424i	0.0350316	+	0.0606765i
$529$	−6.21368	−	10.7624i	−0.270160	−	0.467930i
$530$	21.5085	+	12.4179i	0.934269	+	0.539400i
$531$	−5.74862			−0.249469
$532$	−5.34602	−	10.2186i	−0.231779	−	0.443033i
$533$	7.12545			0.308637
$534$	−7.92566	−	4.57588i	−0.342977	−	0.198018i
$535$	−6.42880	−	11.1350i	−0.277941	−	0.481408i
$536$	−5.01779	−	8.69107i	−0.216735	−	0.375397i
$537$	−9.26318	−	5.34810i	−0.399736	−	0.230787i
$538$		−	5.02466i		−	0.216628i
$539$	10.6287	−	3.74612i	0.457809	−	0.161357i
$540$			2.24337i			0.0965393i
$541$	−4.03591	+	6.99039i	−0.173517	+	0.300540i	−0.939647	−	0.342145i	$-0.888847\pi$
$541$	−4.03591	+	6.99039i	−0.173517	+	0.300540i	0.766130	+	0.642686i	$0.222180\pi$
$542$	10.7266	+	18.5790i	0.460747	+	0.798038i
$543$	−4.39894	−	7.61919i	−0.188777	−	0.326971i
$544$	1.05562	−	1.82838i	0.0452591	−	0.0783911i
$545$	−13.6304			−0.583862
$546$	2.29235	+	2.76040i	0.0981034	+	0.118134i
$547$			15.9818i			0.683332i	0.939822	+	0.341666i	$0.110991\pi$
$547$			15.9818i			0.683332i	−0.939822	+	0.341666i	$0.889009\pi$
$548$	−1.66119	+	2.87726i	−0.0709625	+	0.122911i
$549$	−7.18771	+	4.14983i	−0.306764	+	0.177110i
$550$	−0.0456046	+	0.0263298i	−0.00194459	+	0.00112271i
$551$	0.0758911	−	0.0840179i	0.00323307	−	0.00357928i
$552$			5.95209i			0.253338i
$553$	43.0931	−	7.37194i	1.83251	−	0.313487i
$554$		−	4.39790i		−	0.186849i
$555$	2.14113	−	3.70854i	0.0908858	−	0.157419i
$556$	11.6348	−	6.71733i	0.493423	−	0.284878i
$557$	15.2697	+	26.4478i	0.646996	+	1.12063i	0.983837	+	0.179068i	$0.0573082\pi$
$557$	15.2697	+	26.4478i	0.646996	+	1.12063i	−0.336841	+	0.941562i	$0.609358\pi$
$558$	0.684580	+	0.395243i	0.0289806	+	0.0167320i
$559$	2.92772			0.123829
$560$	2.05846	−	5.56702i	0.0869859	−	0.235249i
$561$			3.39893i			0.143503i
$562$	−6.28426	+	10.8847i	−0.265086	+	0.459142i
$563$	−0.696839	−	1.20696i	−0.0293683	−	0.0508673i	0.850968	−	0.525218i	$-0.176016\pi$
$563$	−0.696839	−	1.20696i	−0.0293683	−	0.0508673i	−0.880336	+	0.474351i	$0.842683\pi$
$564$	1.73929	−	1.00418i	0.0732372	−	0.0422835i
$565$	11.7117	−	20.2852i	0.492713	−	0.853404i
$566$	−6.73455			−0.283074
$567$	2.48154	+	0.917576i	0.104215	+	0.0385346i
$568$	11.5540			0.484795
$569$	37.8894	+	21.8755i	1.58841	+	0.917067i	0.993570	+	0.113221i	$0.0361168\pi$
$569$	37.8894	+	21.8755i	1.58841	+	0.917067i	0.594837	+	0.803846i	$0.297217\pi$
$570$	9.30479	−	3.00705i	0.389735	−	0.125951i
$571$	−10.6041	−	18.3668i	−0.443766	−	0.768625i	0.554199	−	0.832384i	$-0.313025\pi$
$571$	−10.6041	−	18.3668i	−0.443766	−	0.768625i	−0.997965	+	0.0637586i	$0.979691\pi$
$572$	−1.09168	+	1.89085i	−0.0456455	+	0.0790603i
$573$	−9.48417			−0.396207
$574$	−13.7018	+	2.34397i	−0.571903	+	0.0978354i
$575$	−0.194688			−0.00811907
$576$	0.500000	−	0.866025i	0.0208333	−	0.0360844i
$577$	27.8785	−	16.0957i	1.16060	−	0.670071i	0.209150	−	0.977884i	$-0.432930\pi$
$577$	27.8785	−	16.0957i	1.16060	−	0.670071i	0.951447	+	0.307812i	$0.0995969\pi$
$578$	−10.8623	+	6.27135i	−0.451812	+	0.260854i
$579$	19.8153	+	11.4404i	0.823496	+	0.475445i
$580$	0.0582696			0.00241951
$581$	−7.07935	−	8.52482i	−0.293701	−	0.353669i
$582$		−	2.85365i		−	0.118287i
$583$	15.4353	+	8.91159i	0.639266	+	0.369080i
$584$	−3.62157	−	6.27275i	−0.149862	−	0.259568i
$585$	−2.63482	+	1.52121i	−0.108936	+	0.0628944i
$586$	18.5178	+	10.6912i	0.764962	+	0.441651i
$587$		−	13.6328i		−	0.562687i	−0.959607	−	0.281344i	$-0.909220\pi$
$587$		−	13.6328i		−	0.562687i	0.959607	−	0.281344i	$-0.0907801\pi$
$588$	−5.31611	−	4.55401i	−0.219233	−	0.187804i
$589$	0.721720	−	3.36921i	0.0297380	−	0.138826i
$590$	−6.44814	+	11.1685i	−0.265466	+	0.459800i
$591$	−3.36115	−	5.82169i	−0.138259	−	0.239472i
$592$	−1.65311	+	0.954425i	−0.0679425	+	0.0392266i
$593$	−31.5616	−	18.2221i	−1.29608	−	0.748293i	−0.316356	−	0.948641i	$-0.602459\pi$
$593$	−31.5616	−	18.2221i	−1.29608	−	0.748293i	−0.979725	+	0.200348i	$0.935793\pi$
$594$			1.60993i			0.0660563i
$595$	9.64028	−	8.00568i	0.395213	−	0.328201i
$596$	12.5553			0.514285
$597$	9.79141	+	5.65307i	0.400736	+	0.231365i
$598$	−6.99067	+	4.03607i	−0.285870	+	0.165047i
$599$	−27.3905	+	15.8139i	−1.11915	+	0.646140i	−0.941183	−	0.337898i	$-0.890284\pi$
$599$	−27.3905	+	15.8139i	−1.11915	+	0.646140i	−0.177964	+	0.984037i	$0.556951\pi$
$600$	0.0283271	+	0.0163546i	0.00115645	+	0.000667675i
$601$	15.3523			0.626232			0.313116	−	0.949715i	$-0.398627\pi$
$601$	15.3523			0.626232			0.313116	+	0.949715i	$0.398627\pi$
$602$	−5.62984	+	0.963095i	−0.229455	+	0.0392528i
$603$		−	10.0356i		−	0.408680i
$604$	−8.47584	−	4.89353i	−0.344877	−	0.199115i
$605$	16.3354	−	9.43127i	0.664130	−	0.383436i
$606$	−5.64413	−	9.77591i	−0.229277	−	0.397119i
$607$	3.34946	−	5.80143i	0.135950	−	0.235473i	−0.790010	−	0.613094i	$-0.789925\pi$
$607$	3.34946	−	5.80143i	0.135950	−	0.235473i	0.925960	+	0.377621i	$0.123258\pi$
$608$	−4.26221	−	0.913009i	−0.172855	−	0.0370274i
$609$	0.0238333	−	0.0644560i	0.000965772	−	0.00261189i
$610$			18.6192i			0.753869i
$611$	2.35880	+	1.36185i	0.0954267	+	0.0550946i
$612$	1.82838	−	1.05562i	0.0739078	−	0.0426707i
$613$	−13.0275	−	22.5643i	−0.526176	−	0.911364i	−0.999535	−	0.0304940i	$-0.990292\pi$
$613$	−13.0275	−	22.5643i	−0.526176	−	0.911364i	0.473359	−	0.880870i	$-0.343041\pi$
$614$	−21.0703	−	12.1649i	−0.850328	−	0.490937i
$615$		−	11.7867i		−	0.475288i
$616$	1.47723	−	3.99511i	0.0595194	−	0.160968i
$617$	−28.2895			−1.13889			−0.569447	−	0.822028i	$-0.692843\pi$
$617$	−28.2895			−1.13889			−0.569447	+	0.822028i	$0.692843\pi$
$618$	3.64274	+	2.10314i	0.146532	+	0.0846005i
$619$	−9.92577	+	5.73064i	−0.398950	+	0.230334i	−0.686031	−	0.727572i	$-0.740649\pi$
$619$	−9.92577	+	5.73064i	−0.398950	+	0.230334i	0.287081	+	0.957906i	$0.407315\pi$
$620$	1.53577	−	0.886675i	0.0616779	−	0.0356097i
$621$	−2.97604	+	5.15466i	−0.119425	+	0.206849i
$622$	32.5077			1.30344
$623$	4.08285	+	23.8666i	0.163576	+	0.956195i
$624$	1.35618			0.0542908
$625$	12.5812	−	21.7913i	0.503250	−	0.871654i
$626$	7.34842	+	12.7278i	0.293702	+	0.508706i
$627$	6.67748	−	2.15798i	0.266673	−	0.0861812i
$628$	2.80063	+	1.61695i	0.111757	+	0.0645232i
$629$	−4.03002			−0.160687
$630$	4.56619	−	3.79195i	0.181921	−	0.151075i
$631$	−10.9684			−0.436647			−0.218323	−	0.975877i	$-0.570059\pi$
$631$	−10.9684			−0.436647			−0.218323	+	0.975877i	$0.570059\pi$
$632$	8.26214	−	14.3105i	0.328650	−	0.569239i
$633$	17.5146	−	10.1120i	0.696142	−	0.401918i
$634$	−5.34459	−	9.25710i	−0.212261	−	0.367646i
$635$	11.5173	−	19.9485i	0.457050	−	0.791633i
$636$		−	11.0708i		−	0.438985i
$637$	1.74383	−	9.33176i	0.0690929	−	0.369738i
$638$	0.0418166			0.00165553
$639$	10.0061	+	5.77700i	0.395834	+	0.228535i
$640$	−1.12169	−	1.94282i	−0.0443385	−	0.0767965i
$641$	−33.7903	+	19.5089i	−1.33464	+	0.770554i	−0.986007	−	0.166706i	$-0.946687\pi$
$641$	−33.7903	+	19.5089i	−1.33464	+	0.770554i	−0.348632	+	0.937260i	$0.613354\pi$
$642$	−2.86569	+	4.96352i	−0.113100	+	0.195894i
$643$		−	38.6734i		−	1.52513i	−0.646912	−	0.762564i	$-0.723940\pi$
$643$		−	38.6734i		−	1.52513i	0.646912	−	0.762564i	$-0.276060\pi$
$644$	12.1150	−	10.0608i	0.477397	−	0.396450i
$645$		−	4.84296i		−	0.190692i
$646$	−6.82915	−	6.16858i	−0.268689	−	0.242699i
$647$	−8.38989	+	4.84391i	−0.329841	+	0.190434i	−0.655770	−	0.754960i	$-0.727656\pi$
$647$	−8.38989	+	4.84391i	−0.329841	+	0.190434i	0.325930	+	0.945394i	$0.394323\pi$
$648$	0.866025	−	0.500000i	0.0340207	−	0.0196419i
$649$	−4.62744	+	8.01496i	−0.181643	+	0.314615i
$650$			0.0443598i			0.00173993i
$651$	−0.352657	−	2.06148i	−0.0138217	−	0.0807958i
$652$	20.0163			0.783898
$653$	−3.88876	+	6.73554i	−0.152179	+	0.263582i	−0.932028	−	0.362386i	$-0.881962\pi$
$653$	−3.88876	+	6.73554i	−0.152179	+	0.263582i	0.779849	+	0.625967i	$0.215296\pi$
$654$	3.03793	+	5.26185i	0.118792	+	0.205754i
$655$	9.30037	+	16.1087i	0.363395	+	0.629419i
$656$	−2.62702	+	4.55013i	−0.102568	+	0.177653i
$657$		−	7.24315i		−	0.282582i
$658$	−4.98382	−	1.84282i	−0.194290	−	0.0718406i
$659$			44.3171i			1.72635i	0.504906	+	0.863174i	$0.331527\pi$
$659$			44.3171i			1.72635i	−0.504906	+	0.863174i	$0.668473\pi$
$660$	3.12780	+	1.80584i	0.121749	+	0.0702920i
$661$	−17.5538	−	30.4042i	−0.682766	−	1.18258i	−0.974133	−	0.225974i	$-0.927444\pi$
$661$	−17.5538	−	30.4042i	−0.682766	−	1.18258i	0.291368	−	0.956611i	$-0.405890\pi$
$662$	−7.85581	−	13.6067i	−0.305325	−	0.528838i
$663$	2.47962	+	1.43161i	0.0963005	+	0.0555991i
$664$	−4.18825			−0.162535
$665$	−21.8484	−	13.8563i	−0.847244	−	0.537325i
$666$	−1.90885			−0.0739664
$667$	0.133888	+	0.0773002i	0.00518416	+	0.00299308i
$668$	−1.54527	−	2.67648i	−0.0597881	−	0.103556i
$669$	−8.59386	−	14.8850i	−0.332258	−	0.575488i
$670$	−19.4973	−	11.2568i	−0.753246	−	0.434887i
$671$			13.3619i			0.515829i
$672$	−2.60787	+	0.446127i	−0.100601	+	0.0172097i
$673$			12.9563i			0.499429i	0.968319	+	0.249715i	$0.0803368\pi$
$673$			12.9563i			0.499429i	−0.968319	+	0.249715i	$0.919663\pi$
$674$	−15.3378	+	26.5658i	−0.590789	+	1.02328i
$675$	0.0163546	+	0.0283271i	0.000629490	+	0.00109031i
$676$	−5.58038	−	9.66550i	−0.214630	−	0.371750i
$677$	−3.10699	+	5.38146i	−0.119411	+	0.206826i	−0.919535	−	0.393009i	$-0.871434\pi$
$677$	−3.10699	+	5.38146i	−0.119411	+	0.206826i	0.800123	+	0.599836i	$0.204767\pi$
$678$	−10.4411			−0.400989
$679$	−5.80836	+	4.82349i	−0.222904	+	0.185109i
$680$		−	4.73627i		−	0.181628i
$681$	0.992963	−	1.71986i	0.0380504	−	0.0659053i
$682$	1.10213	−	0.636313i	0.0422026	−	0.0243657i
$683$	6.65755	−	3.84374i	0.254744	−	0.147076i	−0.367191	−	0.930146i	$-0.619680\pi$
$683$	6.65755	−	3.84374i	0.254744	−	0.147076i	0.621935	+	0.783069i	$0.286347\pi$
$684$	−3.23468	−	2.92179i	−0.123681	−	0.111718i
$685$			7.45333i			0.284777i
$686$	−0.283525	+	18.5181i	−0.0108250	+	0.707024i
$687$			1.00468i			0.0383309i
$688$	−1.07939	+	1.86957i	−0.0411515	+	0.0712766i
$689$	13.0025	−	7.50701i	0.495357	−	0.285994i
$690$	6.67637	+	11.5638i	0.254165	+	0.440227i
$691$	−15.1717	−	8.75939i	−0.577159	−	0.333223i	0.182845	−	0.983142i	$-0.441469\pi$
$691$	−15.1717	−	8.75939i	−0.577159	−	0.333223i	−0.760004	+	0.649919i	$0.774803\pi$
$692$	−3.86392			−0.146884
$693$	3.27688	−	2.72125i	0.124478	−	0.103372i
$694$		−	1.41642i		−	0.0537667i
$695$	15.0695	−	26.1011i	0.571617	−	0.990069i
$696$	−0.0129871	−	0.0224943i	−0.000492274	−	0.000852643i
$697$	−9.60637	+	5.54624i	−0.363867	+	0.210079i
$698$	5.60911	−	9.71526i	0.212308	−	0.367728i
$699$	−24.1954			−0.915154
$700$	−0.0145925	−	0.0853014i	−0.000551545	−	0.00322409i
$701$	−2.63718			−0.0996051			−0.0498025	−	0.998759i	$-0.515859\pi$
$701$	−2.63718			−0.0996051			−0.0498025	+	0.998759i	$0.515859\pi$
$702$	1.17449	+	0.678092i	0.0443283	+	0.0255929i
$703$	2.55865	+	7.91731i	0.0965014	+	0.298607i
$704$	−0.804965	−	1.39424i	−0.0303383	−	0.0525474i
$705$	2.25274	−	3.90187i	0.0848432	−	0.146953i
$706$	−19.3005			−0.726384
$707$	−10.3578	+	28.0123i	−0.389546	+	1.05351i
$708$	5.74862			0.216046
$709$	−13.4109	+	23.2283i	−0.503656	+	0.872359i	0.496335	+	0.868131i	$0.334679\pi$
$709$	−13.4109	+	23.2283i	−0.503656	+	0.872359i	−0.999991	+	0.00422724i	$0.998654\pi$
$710$	22.4473	−	12.9600i	0.842432	−	0.486378i
$711$	14.3105	−	8.26214i	0.536684	−	0.309855i
$712$	7.92566	+	4.57588i	0.297027	+	0.171488i
$713$	4.70504			0.176205
$714$	−5.23911	−	1.93721i	−0.196069	−	0.0724984i
$715$			4.89809i			0.183178i
$716$	9.26318	+	5.34810i	0.346181	+	0.199868i
$717$	−0.998888	−	1.73012i	−0.0373041	−	0.0646127i
$718$	27.6217	−	15.9474i	1.03083	−	0.595153i
$719$	8.69158	+	5.01809i	0.324141	+	0.187143i	0.653237	−	0.757154i	$-0.273411\pi$
$719$	8.69158	+	5.01809i	0.324141	+	0.187143i	−0.329096	+	0.944297i	$0.606744\pi$
$720$		−	2.24337i		−	0.0836055i
$721$	−1.87653	−	10.9694i	−0.0698858	−	0.408522i
$722$	−7.78287	+	17.3328i	−0.289648	+	0.645061i
$723$	−9.92784	+	17.1955i	−0.369220	+	0.639508i
$724$	4.39894	+	7.61919i	0.163485	+	0.283165i
$725$	0.000735771	0	0.000424798i	2.73259e−5	0	1.57766e-5i
$726$	−7.28165	−	4.20406i	−0.270247	−	0.156027i
$727$		−	22.0827i		−	0.819001i	−0.912310	−	0.409500i	$-0.865703\pi$
$727$		−	22.0827i		−	0.819001i	0.912310	−	0.409500i	$-0.134297\pi$
$728$	−2.29235	−	2.76040i	−0.0849600	−	0.102307i
$729$	1.00000			0.0370370
$730$	−14.0721	−	8.12453i	−0.520832	−	0.300702i
$731$	−3.94709	+	2.27885i	−0.145988	+	0.0842864i
$732$	7.18771	−	4.14983i	0.265665	−	0.153382i
$733$	13.1776	+	7.60812i	0.486728	+	0.281012i	0.723216	−	0.690622i	$-0.242663\pi$
$733$	13.1776	+	7.60812i	0.486728	+	0.281012i	−0.236488	+	0.971634i	$0.575996\pi$
$734$	−21.9814			−0.811347
$735$	−15.4364	−	2.88460i	−0.569379	−	0.106400i
$736$		−	5.95209i		−	0.219397i
$737$	−13.9920	−	8.07829i	−0.515402	−	0.297568i
$738$	−4.55013	+	2.62702i	−0.167493	+	0.0967019i
$739$	3.83756	+	6.64685i	0.141167	+	0.244508i	0.927936	−	0.372739i	$-0.121581\pi$
$739$	3.83756	+	6.64685i	0.141167	+	0.244508i	−0.786769	+	0.617247i	$0.788248\pi$
$740$	−2.14113	+	3.70854i	−0.0787094	+	0.136329i
$741$	1.23821	−	5.78034i	0.0454867	−	0.212346i
$742$	−22.5336	+	18.7128i	−0.827236	+	0.686970i
$743$		−	26.1082i		−	0.957818i	−0.877865	−	0.478909i	$-0.841032\pi$
$743$		−	26.1082i		−	0.957818i	0.877865	−	0.478909i	$-0.158968\pi$
$744$	−0.684580	−	0.395243i	−0.0250979	−	0.0144903i
$745$	24.3926	−	14.0831i	0.893677	−	0.515965i
$746$	−5.02532	−	8.70410i	−0.183990	−	0.318680i
$747$	−3.62713	−	2.09412i	−0.132710	−	0.0766199i
$748$		−	3.39893i		−	0.124277i
$749$	14.9467	−	2.55692i	0.546139	−	0.0934279i
$750$	−11.1435			−0.406902
$751$	−42.2493	−	24.3926i	−1.54170	−	0.890099i	−0.998732	−	0.0503441i	$-0.983968\pi$
$751$	−42.2493	−	24.3926i	−1.54170	−	0.890099i	−0.542965	−	0.839755i	$-0.682698\pi$
$752$	−1.73929	+	1.00418i	−0.0634253	+	0.0366186i
$753$	18.5856	−	10.7304i	0.677296	−	0.391037i
$754$	0.0176129	−	0.0305064i	0.000641423	−	0.00111098i
$755$	−21.9560			−0.799061
$756$	−2.48154	−	0.917576i	−0.0902528	−	0.0333719i
$757$	−18.5793			−0.675277			−0.337639	−	0.941276i	$-0.609628\pi$
$757$	−18.5793			−0.675277			−0.337639	+	0.941276i	$0.609628\pi$
$758$	6.85821	−	11.8788i	0.249101	−	0.431456i
$759$	4.79122	+	8.29864i	0.173910	+	0.301222i
$760$	−9.30479	+	3.00705i	−0.337520	+	0.109077i
$761$	−25.7859	−	14.8875i	−0.934739	−	0.539672i	−0.0464319	−	0.998921i	$-0.514785\pi$
$761$	−25.7859	−	14.8875i	−0.934739	−	0.539672i	−0.888307	+	0.459250i	$0.848118\pi$
$762$	−10.2678			−0.371965
$763$	5.57506	−	15.0775i	0.201831	−	0.545842i
$764$	9.48417			0.343125
$765$	2.36814	−	4.10173i	0.0856201	−	0.148298i
$766$	26.6803	−	15.4039i	0.963998	−	0.556565i
$767$	3.89810	+	6.75170i	0.140752	+	0.243790i
$768$	−0.500000	+	0.866025i	−0.0180422	+	0.0312500i
$769$			44.3906i			1.60076i	0.599490	+	0.800382i	$0.295370\pi$
$769$			44.3906i			1.60076i	−0.599490	+	0.800382i	$0.704630\pi$
$770$	−1.61126	−	9.41876i	−0.0580660	−	0.339428i
$771$	26.5516			0.956233
$772$	−19.8153	−	11.4404i	−0.713168	−	0.411748i
$773$	−22.3958	−	38.7907i	−0.805522	−	1.39521i	−0.915938	−	0.401320i	$-0.868552\pi$
$773$	−22.3958	−	38.7907i	−0.805522	−	1.39521i	0.110416	−	0.993885i	$-0.464782\pi$
$774$	−1.86957	+	1.07939i	−0.0672002	+	0.0387981i
$775$	0.0129281	−	0.0223921i	0.000464391	−	0.000804349i
$776$			2.85365i			0.102440i
$777$	3.22651	+	3.88530i	0.115750	+	0.139384i
$778$			11.6178i			0.416519i
$779$	16.9951	+	15.3512i	0.608913	+	0.550014i
$780$	2.63482	−	1.52121i	0.0943416	−	0.0544681i
$781$	16.1091	−	9.30057i	0.576428	−	0.332801i
$782$	6.28311	−	10.8827i	0.224684	−	0.389164i
$783$		−	0.0259741i		−	0.000928240i
$784$	5.31611	+	4.55401i	0.189861	+	0.162643i
$785$	7.25482			0.258936
$786$	4.14571	−	7.18058i	0.147873	−	0.256123i
$787$	−13.8714	−	24.0259i	−0.494460	−	0.856430i	0.505519	−	0.862815i	$-0.331301\pi$
$787$	−13.8714	−	24.0259i	−0.494460	−	0.856430i	−0.999980	+	0.00638497i	$0.997968\pi$
$788$	3.36115	+	5.82169i	0.119736	+	0.207389i
$789$	3.96681	−	6.87071i	0.141222	−	0.244604i
$790$		−	37.0701i		−	1.31889i
$791$	17.6485	+	21.2520i	0.627510	+	0.755635i
$792$		−	1.60993i		−	0.0572064i
$793$	9.74787	+	5.62793i	0.346157	+	0.199854i
$794$	3.89120	+	6.73975i	0.138093	+	0.239185i
$795$	−12.4179	−	21.5085i	−0.440419	−	0.762827i
$796$	−9.79141	−	5.65307i	−0.347047	−	0.200368i
$797$	−5.74674			−0.203560			−0.101780	−	0.994807i	$-0.532454\pi$
$797$	−5.74674			−0.203560			−0.101780	+	0.994807i	$0.532454\pi$
$798$	−0.479518	+	11.5226i	−0.0169748	+	0.407895i
$799$	−4.24010			−0.150004
$800$	−0.0283271	−	0.0163546i	−0.00100151	−	0.000578224i
$801$	4.57588	+	7.92566i	0.161681	+	0.280040i
$802$	6.80432	+	11.7854i	0.240269	+	0.416158i
$803$	−10.0987	−	5.83048i	−0.356375	−	0.205753i
$804$			10.0356i			0.353928i
$805$	12.2521	−	33.1354i	0.431831	−	1.16787i
$806$		−	1.07204i		−	0.0377611i
$807$	−2.51233	+	4.35148i	−0.0884382	+	0.153179i
$808$	5.64413	+	9.77591i	0.198560	+	0.343915i
$809$	−9.02098	−	15.6248i	−0.317161	−	0.549338i	0.662734	−	0.748855i	$-0.269396\pi$
$809$	−9.02098	−	15.6248i	−0.317161	−	0.549338i	−0.979894	+	0.199517i	$0.936063\pi$
$810$	1.12169	−	1.94282i	0.0394120	−	0.0682636i
$811$	48.1453			1.69061			0.845304	−	0.534285i	$-0.179419\pi$
$811$	48.1453			1.69061			0.845304	+	0.534285i	$0.179419\pi$
$812$	−0.0238333	+	0.0644560i	−0.000836383	+	0.00226196i
$813$		−	21.4532i		−	0.752397i
$814$	−1.53656	+	2.66140i	−0.0538563	+	0.0932819i
$815$	38.8879	−	22.4520i	1.36218	−	0.786458i
$816$	−1.82838	+	1.05562i	−0.0640061	+	0.0369539i
$817$	6.98299	+	6.30754i	0.244304	+	0.220673i
$818$		−	5.15563i		−	0.180262i
$819$	−0.605031	−	3.53675i	−0.0211415	−	0.123584i
$820$			11.7867i			0.411611i
$821$	6.57231	−	11.3836i	0.229375	−	0.397290i	−0.728248	−	0.685314i	$-0.759665\pi$
$821$	6.57231	−	11.3836i	0.229375	−	0.397290i	0.957623	+	0.288024i	$0.0929984\pi$
$822$	2.87726	−	1.66119i	0.100356	−	0.0579406i
$823$	−14.4210	−	24.9779i	−0.502684	−	0.870675i	−0.999995	−	0.00310220i	$-0.999013\pi$
$823$	−14.4210	−	24.9779i	−0.502684	−	0.870675i	0.497311	−	0.867572i	$-0.334321\pi$
$824$	−3.64274	−	2.10314i	−0.126901	−	0.0732662i
$825$	0.0526596			0.00183337
$826$	−9.71684	−	11.7008i	−0.338092	−	0.407124i
$827$		−	25.4069i		−	0.883483i	−0.897142	−	0.441742i	$-0.854361\pi$
$827$		−	25.4069i		−	0.883483i	0.897142	−	0.441742i	$-0.145639\pi$
$828$	2.97604	−	5.15466i	0.103425	−	0.179137i
$829$	−13.9795	−	24.2132i	−0.485528	−	0.840959i	0.514334	−	0.857590i	$-0.328039\pi$
$829$	−13.9795	−	24.2132i	−0.485528	−	0.840959i	−0.999862	+	0.0166314i	$0.994706\pi$
$830$	−8.13699	+	4.69789i	−0.282439	+	0.163066i
$831$	−2.19895	+	3.80870i	−0.0762808	+	0.132122i
$832$	−1.35618			−0.0470173
$833$	4.91258	+	13.9382i	0.170211	+	0.482931i
$834$	−13.4347			−0.465204
$835$	−6.00433	−	3.46660i	−0.207788	−	0.119967i
$836$	−6.67748	+	2.15798i	−0.230946	+	0.0746351i
$837$	−0.395243	−	0.684580i	−0.0136616	−	0.0236626i
$838$	−14.9139	+	25.8317i	−0.515194	+	0.892342i
$839$	13.1542			0.454134			0.227067	−	0.973879i	$-0.427086\pi$
$839$	13.1542			0.454134			0.227067	+	0.973879i	$0.427086\pi$
$840$	−4.56619	+	3.79195i	−0.157549	+	0.130835i
$841$	28.9993			0.999977
$842$	−10.6952	+	18.5246i	−0.368580	+	0.638400i
$843$	10.8847	−	6.28426i	0.374888	−	0.216441i
$844$	−17.5146	+	10.1120i	−0.602876	+	0.348071i
$845$	−21.6833	−	12.5189i	−0.745928	−	0.430662i
$846$	−2.00836			−0.0690487
$847$	3.75109	+	21.9273i	0.128889	+	0.753430i
$848$			11.0708i			0.380172i
$849$	5.83229	+	3.36727i	0.200164	+	0.115565i
$850$	−0.0345284	−	0.0598049i	−0.00118431	−	0.00205129i
$851$	−9.83947	+	5.68082i	−0.337293	+	0.194736i
$852$	−10.0061	−	5.77700i	−0.342802	−	0.197917i
$853$			12.6308i			0.432470i	0.976341	+	0.216235i	$0.0693778\pi$
$853$			12.6308i			0.432470i	−0.976341	+	0.216235i	$0.930622\pi$
$854$	−20.5959	−	7.61556i	−0.704779	−	0.260599i
$855$	−9.56171	−	2.04822i	−0.327004	−	0.0700475i
$856$	2.86569	−	4.96352i	0.0979472	−	0.169649i
$857$	2.71289	+	4.69886i	0.0926706	+	0.160510i	0.908634	−	0.417593i	$-0.137126\pi$
$857$	2.71289	+	4.69886i	0.0926706	+	0.160510i	−0.815963	+	0.578103i	$0.803793\pi$
$858$	1.89085	−	1.09168i	0.0645525	−	0.0372694i
$859$	−38.3492	−	22.1409i	−1.30846	−	0.755438i	−0.326618	−	0.945156i	$-0.605909\pi$
$859$	−38.3492	−	22.1409i	−1.30846	−	0.755438i	−0.981838	+	0.189719i	$0.939242\pi$
$860$			4.84296i			0.165144i
$861$	13.0381	+	4.82098i	0.444338	+	0.164298i
$862$	−0.655623			−0.0223306
$863$	−20.2370	−	11.6838i	−0.688875	−	0.397722i	0.114316	−	0.993444i	$-0.463532\pi$
$863$	−20.2370	−	11.6838i	−0.688875	−	0.397722i	−0.803190	+	0.595723i	$0.796866\pi$
$864$	−0.866025	+	0.500000i	−0.0294628	+	0.0170103i
$865$	−7.50688	+	4.33410i	−0.255241	+	0.147364i
$866$	34.9293	+	20.1664i	1.18695	+	0.685283i
$867$	12.5427			0.425973
$868$	0.352657	+	2.06148i	0.0119700	+	0.0699712i
$869$		−	26.6030i		−	0.902443i
$870$	−0.0504630	−	0.0291348i	−0.00171086	−	0.000987763i
$871$	−11.7867	+	6.80505i	−0.399377	+	0.230580i
$872$	−3.03793	−	5.26185i	−0.102877	−	0.178189i
$873$	−1.42682	+	2.47133i	−0.0482907	+	0.0836419i
$874$	−25.3690	−	5.43431i	−0.858120	−	0.183818i
$875$	18.8357	+	22.6816i	0.636763	+	0.766778i
$876$			7.24315i			0.244723i
$877$	−39.8576	−	23.0118i	−1.34589	−	0.777052i	−0.358229	−	0.933634i	$-0.616619\pi$
$877$	−39.8576	−	23.0118i	−1.34589	−	0.777052i	−0.987665	+	0.156581i	$0.949953\pi$
$878$	11.2755	−	6.50993i	0.380531	−	0.219699i
$879$	−10.6912	−	18.5178i	−0.360607	−	0.624589i
$880$	−3.12780	−	1.80584i	−0.105438	−	0.0608747i
$881$		−	57.2610i		−	1.92917i	−0.263770	−	0.964585i	$-0.584966\pi$
$881$		−	57.2610i		−	1.92917i	0.263770	−	0.964585i	$-0.415034\pi$
$882$	2.32688	+	6.60194i	0.0783502	+	0.222299i
$883$	2.71356			0.0913185			0.0456593	−	0.998957i	$-0.485461\pi$
$883$	2.71356			0.0913185			0.0456593	+	0.998957i	$0.485461\pi$
$884$	−2.47962	−	1.43161i	−0.0833986	−	0.0481502i
$885$	11.1685	−	6.44814i	0.375425	−	0.216752i
$886$	−30.2598	+	17.4705i	−1.01660	+	0.586933i
$887$	13.5966	−	23.5500i	0.456528	−	0.790730i	−0.542246	−	0.840220i	$-0.682426\pi$
$887$	13.5966	−	23.5500i	0.456528	−	0.790730i	0.998775	+	0.0494893i	$0.0157594\pi$
$888$	1.90885			0.0640568
$889$	17.3556	+	20.8993i	0.582090	+	0.700941i
$890$	20.5308			0.688194
$891$	0.804965	−	1.39424i	0.0269674	−	0.0467088i
$892$	8.59386	+	14.8850i	0.287744	+	0.498387i
$893$	2.69203	+	8.33003i	0.0900854	+	0.278754i
$894$	−10.8732	−	6.27765i	−0.363655	−	0.209956i
$895$	23.9955			0.802082
$896$	2.60787	−	0.446127i	0.0871227	−	0.0149041i
$897$	8.07213			0.269521
$898$	6.83318	−	11.8354i	0.228026	−	0.394953i
$899$	−0.0177814	+	0.0102661i	−0.000593043	+	0.000342393i
$900$	−0.0163546	−	0.0283271i	−0.000545154	−	0.000944235i
$901$	−11.6865	+	20.2416i	−0.389333	+	0.674345i
$902$			8.45863i			0.281642i
$903$	5.35713	+	1.98085i	0.178274	+	0.0659187i
$904$	10.4411			0.347267
$905$	17.0927	+	9.86846i	0.568180	+	0.328039i
$906$	4.89353	+	8.47584i	0.162577	+	0.281591i
$907$	11.3527	−	6.55446i	0.376959	−	0.217637i	−0.299535	−	0.954085i	$-0.596832\pi$
$907$	11.3527	−	6.55446i	0.376959	−	0.217637i	0.676494	+	0.736448i	$0.263498\pi$
$908$	−0.992963	+	1.71986i	−0.0329526	+	0.0570757i
$909$			11.2883i			0.374408i
$910$	−7.54991	−	2.79166i	−0.250277	−	0.0925425i
$911$		−	40.0067i		−	1.32548i	−0.748850	−	0.662740i	$-0.769394\pi$
$911$		−	40.0067i		−	1.32548i	0.748850	−	0.662740i	$-0.230606\pi$
$912$	3.23468	+	2.92179i	0.107111	+	0.0967502i
$913$	−5.83942	+	3.37139i	−0.193257	+	0.111577i
$914$	−25.1227	+	14.5046i	−0.830985	+	0.479769i
$915$	9.30960	−	16.1247i	0.307766	−	0.533066i
$916$		−	1.00468i		−	0.0331955i
$917$	−21.6229	+	3.69903i	−0.714052	+	0.122153i
$918$	−2.11123			−0.0696810
$919$	−13.1802	+	22.8288i	−0.434775	+	0.753053i	−0.997277	−	0.0737431i	$-0.976506\pi$
$919$	−13.1802	+	22.8288i	−0.434775	+	0.753053i	0.562502	+	0.826796i	$0.309839\pi$
$920$	−6.67637	−	11.5638i	−0.220113	−	0.381247i
$921$	12.1649	+	21.0703i	0.400849	+	0.694290i
$922$	8.37253	−	14.5017i	0.275735	−	0.477586i
$923$		−	15.6694i		−	0.515763i
$924$	−3.27688	+	2.72125i	−0.107801	+	0.0895226i
$925$			0.0624371i			0.00205292i
$926$	12.5156	+	7.22589i	0.411288	+	0.237457i
$927$	−2.10314	−	3.64274i	−0.0690761	−	0.119643i
$928$	0.0129871	+	0.0224943i	0.000426322	+	0.000738411i
$929$	−24.1414	−	13.9380i	−0.792053	−	0.457292i	0.0486316	−	0.998817i	$-0.484514\pi$
$929$	−24.1414	−	13.9380i	−0.792053	−	0.457292i	−0.840685	+	0.541525i	$0.817847\pi$
$930$	−1.77335			−0.0581505
$931$	24.2638	−	18.5005i	0.795213	−	0.606330i
$932$	24.1954			0.792546
$933$	−28.1525	−	16.2539i	−0.921672	−	0.532127i
$934$	−3.17605	−	5.50108i	−0.103923	−	0.180001i
$935$	−3.81253	−	6.60350i	−0.124683	−	0.215958i
$936$	−1.17449	−	0.678092i	−0.0383894	−	0.0221641i
$937$			12.5537i			0.410110i	0.978750	+	0.205055i	$0.0657374\pi$
$937$			12.5537i			0.410110i	−0.978750	+	0.205055i	$0.934263\pi$
$938$	20.4266	−	16.9630i	0.666951	−	0.553863i
$939$		−	14.6968i		−	0.479613i
$940$	−2.25274	+	3.90187i	−0.0734764	+	0.127265i
$941$	−23.9579	−	41.4964i	−0.781006	−	1.35274i	−0.931356	−	0.364110i	$-0.881373\pi$
$941$	−23.9579	−	41.4964i	−0.781006	−	1.35274i	0.150350	−	0.988633i	$-0.451960\pi$
$942$	−1.61695	−	2.80063i	−0.0526830	−	0.0912496i
$943$	−15.6362	+	27.0828i	−0.509186	+	0.881936i
$944$	−5.74862			−0.187102
$945$	−5.85041	+	1.00083i	−0.190314	+	0.0325570i
$946$			3.47550i			0.112998i
$947$	−21.0298	+	36.4247i	−0.683378	+	1.18365i	0.290566	+	0.956855i	$0.406157\pi$
$947$	−21.0298	+	36.4247i	−0.683378	+	1.18365i	−0.973944	+	0.226790i	$0.927177\pi$
$948$	−14.3105	+	8.26214i	−0.464782	+	0.268342i
$949$	−8.50701	+	4.91152i	−0.276149	+	0.159435i
$950$	−0.0955697	+	0.105804i	−0.00310069	+	0.00343273i
$951$			10.6892i			0.346620i
$952$	5.23911	+	1.93721i	0.169800	+	0.0627855i
$953$			13.0491i			0.422702i	0.977410	+	0.211351i	$0.0677863\pi$
$953$			13.0491i			0.422702i	−0.977410	+	0.211351i	$0.932214\pi$
$954$	−5.53539	+	9.58758i	−0.179215	+	0.310409i
$955$	18.4260	−	10.6383i	0.596251	−	0.344246i
$956$	0.998888	+	1.73012i	0.0323063	+	0.0559562i
$957$	−0.0362142	−	0.0209083i	−0.00117064	−	0.000675869i
$958$	−15.9549			−0.515479
$959$	−8.24463	−	3.04853i	−0.266233	−	0.0984423i
$960$			2.24337i			0.0724045i
$961$	15.1876	−	26.3056i	0.489922	−	0.848569i
$962$	1.29438	+	2.24193i	0.0417324	+	0.0722826i
$963$	4.96352	−	2.86569i	0.159947	−	0.0923455i
$964$	9.92784	−	17.1955i	0.319754	−	0.553831i
$965$	−51.3300			−1.65237
$966$	−15.5223	+	2.65539i	−0.499420	+	0.0854358i
$967$	−43.9013			−1.41177			−0.705885	−	0.708326i	$-0.749451\pi$
$967$	−43.9013			−1.41177			−0.705885	+	0.708326i	$0.749451\pi$
$968$	7.28165	+	4.20406i	0.234041	+	0.135124i
$969$	2.82992	+	8.75672i	0.0909103	+	0.281306i
$970$	3.20089	+	5.54411i	0.102774	+	0.178011i
$971$	27.6732	−	47.9314i	0.888076	−	1.53819i	0.0459294	−	0.998945i	$-0.485375\pi$
$971$	27.6732	−	47.9314i	0.888076	−	1.53819i	0.842147	−	0.539248i	$-0.181292\pi$
$972$	−1.00000			−0.0320750
$973$	22.7085	+	27.3451i	0.728000	+	0.876644i
$974$	−0.679561			−0.0217746
$975$	0.0221799	−	0.0384167i	0.000710325	−	0.00123032i
$976$	−7.18771	+	4.14983i	−0.230073	+	0.132833i
$977$	18.4886	−	10.6744i	0.591503	−	0.341505i	−0.174188	−	0.984712i	$-0.555730\pi$
$977$	18.4886	−	10.6744i	0.591503	−	0.341505i	0.765692	+	0.643208i	$0.222397\pi$
$978$	−17.3346	−	10.0081i	−0.554299	−	0.320025i
$979$	14.7337			0.470891
$980$	15.4364	+	2.88460i	0.493097	+	0.0921450i
$981$		−	6.07586i		−	0.193987i
$982$	20.3588	+	11.7541i	0.649675	+	0.375090i
$983$	20.9250	+	36.2431i	0.667404	+	1.15598i	0.978628	+	0.205640i	$0.0659277\pi$
$983$	20.9250	+	36.2431i	0.667404	+	1.15598i	−0.311224	+	0.950337i	$0.600739\pi$
$984$	4.55013	−	2.62702i	0.145053	−	0.0837463i
$985$	13.0602	+	7.54031i	0.416132	+	0.240254i
$986$			0.0548374i			0.00174638i
$987$	3.39471	+	4.08784i	0.108055	+	0.130117i
$988$	−1.23821	+	5.78034i	−0.0393927	+	0.183897i
$989$	−6.42465	+	11.1278i	−0.204292	+	0.353844i
$990$	−1.80584	−	3.12780i	−0.0573932	−	0.0994079i
$991$	−37.0696	+	21.4021i	−1.17755	+	0.679861i	−0.955448	−	0.295161i	$-0.904627\pi$
$991$	−37.0696	+	21.4021i	−1.17755	+	0.679861i	−0.222107	+	0.975022i	$0.571293\pi$
$992$	0.684580	+	0.395243i	0.0217354	+	0.0125490i
$993$			15.7116i			0.498593i
$994$	5.15456	+	30.1313i	0.163493	+	0.955707i
$995$	−25.3639			−0.804089
$996$	3.62713	+	2.09412i	0.114930	+	0.0663548i
$997$	−17.5456	+	10.1300i	−0.555675	+	0.320819i	−0.751408	−	0.659838i	$-0.770625\pi$
$997$	−17.5456	+	10.1300i	−0.555675	+	0.320819i	0.195733	+	0.980657i	$0.437292\pi$
$998$	31.0230	−	17.9111i	0.982016	−	0.566967i
$999$	1.65311	+	0.954425i	0.0523022	+	0.0301967i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.be.a.607.13	yes	28
7.3	odd	6		798.2.be.b.493.6	yes	28
19.18	odd	2		798.2.be.b.607.6	yes	28
133.94	even	6	inner	798.2.be.a.493.13	✓	28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.be.a.493.13	✓	28	133.94	even	6	inner
798.2.be.a.607.13	yes	28	1.1	even	1	trivial
798.2.be.b.493.6	yes	28	7.3	odd	6
798.2.be.b.607.6	yes	28	19.18	odd	2

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.be (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.866025 + 0.500000i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.94282 + 1.12169i) q^{5} -1.00000i q^{6} +(-2.03542 + 1.69029i) q^{7} +1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(0.866025 + 0.500000i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.94282 + 1.12169i) q^{5} -1.00000i q^{6} +(-2.03542 + 1.69029i) q^{7} +1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +(1.12169 + 1.94282i) q^{10} +(0.804965 + 1.39424i) q^{11} +(0.500000 - 0.866025i) q^{12} +1.35618 q^{13} +(-2.60787 + 0.446127i) q^{14} -2.24337i q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.82838 + 1.05562i) q^{17} +(-0.866025 + 0.500000i) q^{18} +(3.23468 + 2.92179i) q^{19} +2.24337i q^{20} +(2.48154 + 0.917576i) q^{21} +1.60993i q^{22} +(-2.97604 + 5.15466i) q^{23} +(0.866025 - 0.500000i) q^{24} +(0.0163546 + 0.0283271i) q^{25} +(1.17449 + 0.678092i) q^{26} +1.00000 q^{27} +(-2.48154 - 0.917576i) q^{28} -0.0259741i q^{29} +(1.12169 - 1.94282i) q^{30} +(-0.395243 - 0.684580i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(0.804965 - 1.39424i) q^{33} -2.11123 q^{34} +(-5.85041 + 1.00083i) q^{35} -1.00000 q^{36} +(1.65311 + 0.954425i) q^{37} +(1.34041 + 4.14768i) q^{38} +(-0.678092 - 1.17449i) q^{39} +(-1.12169 + 1.94282i) q^{40} +5.25404 q^{41} +(1.69029 + 2.03542i) q^{42} +2.15879 q^{43} +(-0.804965 + 1.39424i) q^{44} +(-1.94282 + 1.12169i) q^{45} +(-5.15466 + 2.97604i) q^{46} +(1.73929 + 1.00418i) q^{47} +1.00000 q^{48} +(1.28583 - 6.88089i) q^{49} +0.0327093i q^{50} +(1.82838 + 1.05562i) q^{51} +(0.678092 + 1.17449i) q^{52} +(9.58758 - 5.53539i) q^{53} +(0.866025 + 0.500000i) q^{54} +3.61167i q^{55} +(-1.69029 - 2.03542i) q^{56} +(0.913009 - 4.26221i) q^{57} +(0.0129871 - 0.0224943i) q^{58} +(2.87431 + 4.97845i) q^{59} +(1.94282 - 1.12169i) q^{60} +(7.18771 + 4.14983i) q^{61} -0.790485i q^{62} +(-0.446127 - 2.60787i) q^{63} -1.00000 q^{64} +(2.63482 + 1.52121i) q^{65} +(1.39424 - 0.804965i) q^{66} +(-8.69107 + 5.01779i) q^{67} +(-1.82838 - 1.05562i) q^{68} +5.95209 q^{69} +(-5.56702 - 2.05846i) q^{70} -11.5540i q^{71} +(-0.866025 - 0.500000i) q^{72} +(-6.27275 + 3.62157i) q^{73} +(0.954425 + 1.65311i) q^{74} +(0.0163546 - 0.0283271i) q^{75} +(-0.913009 + 4.26221i) q^{76} +(-3.99511 - 1.47723i) q^{77} -1.35618i q^{78} +(-14.3105 - 8.26214i) q^{79} +(-1.94282 + 1.12169i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(4.55013 + 2.62702i) q^{82} +4.18825i q^{83} +(0.446127 + 2.60787i) q^{84} -4.73627 q^{85} +(1.86957 + 1.07939i) q^{86} +(-0.0224943 + 0.0129871i) q^{87} +(-1.39424 + 0.804965i) q^{88} +(4.57588 - 7.92566i) q^{89} -2.24337 q^{90} +(-2.76040 + 2.29235i) q^{91} -5.95209 q^{92} +(-0.395243 + 0.684580i) q^{93} +(1.00418 + 1.73929i) q^{94} +(3.00705 + 9.30479i) q^{95} +(0.866025 + 0.500000i) q^{96} +2.85365 q^{97} +(4.55401 - 5.31611i) q^{98} -1.60993 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9}+O(q^{10}) \) 28 * q - 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9	\( 28 q - 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9} - 4 q^{10} + 6 q^{11} + 14 q^{12} + 8 q^{13} + 4 q^{14} - 14 q^{16} - 12 q^{17} + 6 q^{19} + 4 q^{21} + 6 q^{23} + 20 q^{25} + 12 q^{26} + 28 q^{27} - 4 q^{28} - 4 q^{30} + 4 q^{31} + 6 q^{33} + 8 q^{34} - 10 q^{35} - 28 q^{36} + 12 q^{37} - 24 q^{38} - 4 q^{39} + 4 q^{40} + 40 q^{41} - 8 q^{42} + 52 q^{43} - 6 q^{44} + 6 q^{45} + 36 q^{46} - 6 q^{47} + 28 q^{48} + 18 q^{49} + 12 q^{51} + 4 q^{52} + 36 q^{53} + 8 q^{56} - 12 q^{57} + 4 q^{58} + 32 q^{59} - 6 q^{60} + 6 q^{61} - 2 q^{63} - 28 q^{64} - 60 q^{65} - 12 q^{67} - 12 q^{68} - 12 q^{69} - 12 q^{70} + 30 q^{73} + 12 q^{74} + 20 q^{75} + 12 q^{76} + 28 q^{77} - 36 q^{79} + 6 q^{80} - 14 q^{81} + 2 q^{84} + 64 q^{85} - 24 q^{86} + 16 q^{89} + 8 q^{90} - 20 q^{91} + 12 q^{92} + 4 q^{93} + 14 q^{95} - 16 q^{97} - 8 q^{98} - 12 q^{99}+O(q^{100}) \) 28 * q - 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9 - 4 * q^10 + 6 * q^11 + 14 * q^12 + 8 * q^13 + 4 * q^14 - 14 * q^16 - 12 * q^17 + 6 * q^19 + 4 * q^21 + 6 * q^23 + 20 * q^25 + 12 * q^26 + 28 * q^27 - 4 * q^28 - 4 * q^30 + 4 * q^31 + 6 * q^33 + 8 * q^34 - 10 * q^35 - 28 * q^36 + 12 * q^37 - 24 * q^38 - 4 * q^39 + 4 * q^40 + 40 * q^41 - 8 * q^42 + 52 * q^43 - 6 * q^44 + 6 * q^45 + 36 * q^46 - 6 * q^47 + 28 * q^48 + 18 * q^49 + 12 * q^51 + 4 * q^52 + 36 * q^53 + 8 * q^56 - 12 * q^57 + 4 * q^58 + 32 * q^59 - 6 * q^60 + 6 * q^61 - 2 * q^63 - 28 * q^64 - 60 * q^65 - 12 * q^67 - 12 * q^68 - 12 * q^69 - 12 * q^70 + 30 * q^73 + 12 * q^74 + 20 * q^75 + 12 * q^76 + 28 * q^77 - 36 * q^79 + 6 * q^80 - 14 * q^81 + 2 * q^84 + 64 * q^85 - 24 * q^86 + 16 * q^89 + 8 * q^90 - 20 * q^91 + 12 * q^92 + 4 * q^93 + 14 * q^95 - 16 * q^97 - 8 * q^98 - 12 * q^99

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