LMFDB - Embedded newform 605.2.g.b.251.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(81,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("605.81");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.g (of order $5$, degree $4$, not 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:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$4$
Coefficient field:	$\Q(\zeta_{10})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{4} - x^{3} + x^{2} - x + 1 $ x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			251.1
Root			$-0.309017 - 0.951057i$ of defining polynomial
Character	$\chi$	$=$	605.251
Dual form			605.2.g.b.511.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 - 0.951057i) q^{2} +(2.42705 - 1.76336i) q^{3} +(0.809017 + 0.587785i) q^{4} +(0.309017 + 0.951057i) q^{5} +(-0.927051 - 2.85317i) q^{6} +(-2.42705 - 1.76336i) q^{7} +(2.42705 - 1.76336i) q^{8} +(1.85410 - 5.70634i) q^{9} +O(q^{10})$	\(q+(0.309017 - 0.951057i) q^{2} +(2.42705 - 1.76336i) q^{3} +(0.809017 + 0.587785i) q^{4} +(0.309017 + 0.951057i) q^{5} +(-0.927051 - 2.85317i) q^{6} +(-2.42705 - 1.76336i) q^{7} +(2.42705 - 1.76336i) q^{8} +(1.85410 - 5.70634i) q^{9} +1.00000 q^{10} +3.00000 q^{12} +(-1.23607 + 3.80423i) q^{13} +(-2.42705 + 1.76336i) q^{14} +(2.42705 + 1.76336i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(-4.85410 - 3.52671i) q^{18} +(3.23607 - 2.35114i) q^{19} +(-0.309017 + 0.951057i) q^{20} -9.00000 q^{21} -8.00000 q^{23} +(2.78115 - 8.55951i) q^{24} +(-0.809017 + 0.587785i) q^{25} +(3.23607 + 2.35114i) q^{26} +(-2.78115 - 8.55951i) q^{27} +(-0.927051 - 2.85317i) q^{28} +(4.85410 + 3.52671i) q^{29} +(2.42705 - 1.76336i) q^{30} +(-0.618034 + 1.90211i) q^{31} +5.00000 q^{32} +(0.927051 - 2.85317i) q^{35} +(4.85410 - 3.52671i) q^{36} +(6.47214 + 4.70228i) q^{37} +(-1.23607 - 3.80423i) q^{38} +(3.70820 + 11.4127i) q^{39} +(2.42705 + 1.76336i) q^{40} +(-4.04508 + 2.93893i) q^{41} +(-2.78115 + 8.55951i) q^{42} -5.00000 q^{43} +6.00000 q^{45} +(-2.47214 + 7.60845i) q^{46} +(2.42705 - 1.76336i) q^{47} +(-2.42705 - 1.76336i) q^{48} +(0.618034 + 1.90211i) q^{49} +(0.309017 + 0.951057i) q^{50} +(-3.23607 + 2.35114i) q^{52} +(1.23607 - 3.80423i) q^{53} -9.00000 q^{54} -9.00000 q^{56} +(3.70820 - 11.4127i) q^{57} +(4.85410 - 3.52671i) q^{58} +(1.61803 + 1.17557i) q^{59} +(0.927051 + 2.85317i) q^{60} +(3.39919 + 10.4616i) q^{61} +(1.61803 + 1.17557i) q^{62} +(-14.5623 + 10.5801i) q^{63} +(2.16312 - 6.65740i) q^{64} -4.00000 q^{65} -13.0000 q^{67} +(-19.4164 + 14.1068i) q^{69} +(-2.42705 - 1.76336i) q^{70} +(0.618034 + 1.90211i) q^{71} +(-5.56231 - 17.1190i) q^{72} +(-6.47214 - 4.70228i) q^{73} +(6.47214 - 4.70228i) q^{74} +(-0.927051 + 2.85317i) q^{75} +4.00000 q^{76} +12.0000 q^{78} +(-3.09017 + 9.51057i) q^{79} +(0.809017 - 0.587785i) q^{80} +(-7.28115 - 5.29007i) q^{81} +(1.54508 + 4.75528i) q^{82} +(-1.23607 - 3.80423i) q^{83} +(-7.28115 - 5.29007i) q^{84} +(-1.54508 + 4.75528i) q^{86} +18.0000 q^{87} +1.00000 q^{89} +(1.85410 - 5.70634i) q^{90} +(9.70820 - 7.05342i) q^{91} +(-6.47214 - 4.70228i) q^{92} +(1.85410 + 5.70634i) q^{93} +(-0.927051 - 2.85317i) q^{94} +(3.23607 + 2.35114i) q^{95} +(12.1353 - 8.81678i) q^{96} +(-2.47214 + 7.60845i) q^{97} +2.00000 q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q - q^{2} + 3 q^{3} + q^{4} - q^{5} + 3 q^{6} - 3 q^{7} + 3 q^{8} - 6 q^{9}+O(q^{10}) $ 4 * q - q^2 + 3 * q^3 + q^4 - q^5 + 3 * q^6 - 3 * q^7 + 3 * q^8 - 6 * q^9	$ 4 q - q^{2} + 3 q^{3} + q^{4} - q^{5} + 3 q^{6} - 3 q^{7} + 3 q^{8} - 6 q^{9} + 4 q^{10} + 12 q^{12} + 4 q^{13} - 3 q^{14} + 3 q^{15} + q^{16} - 6 q^{18} + 4 q^{19} + q^{20} - 36 q^{21} - 32 q^{23} - 9 q^{24} - q^{25} + 4 q^{26} + 9 q^{27} + 3 q^{28} + 6 q^{29} + 3 q^{30} + 2 q^{31} + 20 q^{32} - 3 q^{35} + 6 q^{36} + 8 q^{37} + 4 q^{38} - 12 q^{39} + 3 q^{40} - 5 q^{41} + 9 q^{42} - 20 q^{43} + 24 q^{45} + 8 q^{46} + 3 q^{47} - 3 q^{48} - 2 q^{49} - q^{50} - 4 q^{52} - 4 q^{53} - 36 q^{54} - 36 q^{56} - 12 q^{57} + 6 q^{58} + 2 q^{59} - 3 q^{60} - 11 q^{61} + 2 q^{62} - 18 q^{63} - 7 q^{64} - 16 q^{65} - 52 q^{67} - 24 q^{69} - 3 q^{70} - 2 q^{71} + 18 q^{72} - 8 q^{73} + 8 q^{74} + 3 q^{75} + 16 q^{76} + 48 q^{78} + 10 q^{79} + q^{80} - 9 q^{81} - 5 q^{82} + 4 q^{83} - 9 q^{84} + 5 q^{86} + 72 q^{87} + 4 q^{89} - 6 q^{90} + 12 q^{91} - 8 q^{92} - 6 q^{93} + 3 q^{94} + 4 q^{95} + 15 q^{96} + 8 q^{97} + 8 q^{98}+O(q^{100}) $ 4 * q - q^2 + 3 * q^3 + q^4 - q^5 + 3 * q^6 - 3 * q^7 + 3 * q^8 - 6 * q^9 + 4 * q^10 + 12 * q^12 + 4 * q^13 - 3 * q^14 + 3 * q^15 + q^16 - 6 * q^18 + 4 * q^19 + q^20 - 36 * q^21 - 32 * q^23 - 9 * q^24 - q^25 + 4 * q^26 + 9 * q^27 + 3 * q^28 + 6 * q^29 + 3 * q^30 + 2 * q^31 + 20 * q^32 - 3 * q^35 + 6 * q^36 + 8 * q^37 + 4 * q^38 - 12 * q^39 + 3 * q^40 - 5 * q^41 + 9 * q^42 - 20 * q^43 + 24 * q^45 + 8 * q^46 + 3 * q^47 - 3 * q^48 - 2 * q^49 - q^50 - 4 * q^52 - 4 * q^53 - 36 * q^54 - 36 * q^56 - 12 * q^57 + 6 * q^58 + 2 * q^59 - 3 * q^60 - 11 * q^61 + 2 * q^62 - 18 * q^63 - 7 * q^64 - 16 * q^65 - 52 * q^67 - 24 * q^69 - 3 * q^70 - 2 * q^71 + 18 * q^72 - 8 * q^73 + 8 * q^74 + 3 * q^75 + 16 * q^76 + 48 * q^78 + 10 * q^79 + q^80 - 9 * q^81 - 5 * q^82 + 4 * q^83 - 9 * q^84 + 5 * q^86 + 72 * q^87 + 4 * q^89 - 6 * q^90 + 12 * q^91 - 8 * q^92 - 6 * q^93 + 3 * q^94 + 4 * q^95 + 15 * q^96 + 8 * q^97 + 8 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

Coefficient data

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

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

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

$2$	0.309017	−	0.951057i	0.218508	−	0.672499i	−0.780378	−	0.625308i	$-0.784973\pi$
$2$	0.309017	−	0.951057i	0.218508	−	0.672499i	0.998886	−	0.0471903i	$-0.0150267\pi$
$3$	2.42705	−	1.76336i	1.40126	−	1.01807i	0.406737	−	0.913545i	$-0.366667\pi$
$3$	2.42705	−	1.76336i	1.40126	−	1.01807i	0.994522	−	0.104528i	$-0.0333333\pi$
$4$	0.809017	+	0.587785i	0.404508	+	0.293893i
$5$	0.309017	+	0.951057i	0.138197	+	0.425325i
$5$	0.309017	+	0.951057i	0.138197	+	0.425325i
$6$	−0.927051	−	2.85317i	−0.378467	−	1.16480i
$7$	−2.42705	−	1.76336i	−0.917339	−	0.666486i	0.0255212	−	0.999674i	$-0.491875\pi$
$7$	−2.42705	−	1.76336i	−0.917339	−	0.666486i	−0.942860	+	0.333188i	$0.891875\pi$
$8$	2.42705	−	1.76336i	0.858092	−	0.623440i
$9$	1.85410	−	5.70634i	0.618034	−	1.90211i
$10$	1.00000			0.316228
$11$		0			0
$11$		0			0
$12$	3.00000			0.866025
$13$	−1.23607	+	3.80423i	−0.342824	+	1.05510i	0.619915	+	0.784669i	$0.287167\pi$
$13$	−1.23607	+	3.80423i	−0.342824	+	1.05510i	−0.962739	+	0.270434i	$0.912833\pi$
$14$	−2.42705	+	1.76336i	−0.648657	+	0.471277i
$15$	2.42705	+	1.76336i	0.626662	+	0.455296i
$16$	−0.309017	−	0.951057i	−0.0772542	−	0.237764i
$17$		0			0		0.951057	−	0.309017i	$-0.100000\pi$
$17$		0			0		−0.951057	+	0.309017i	$0.900000\pi$
$18$	−4.85410	−	3.52671i	−1.14412	−	0.831254i
$19$	3.23607	−	2.35114i	0.742405	−	0.539389i	−0.151058	−	0.988525i	$-0.548268\pi$
$19$	3.23607	−	2.35114i	0.742405	−	0.539389i	0.893463	+	0.449136i	$0.148268\pi$
$20$	−0.309017	+	0.951057i	−0.0690983	+	0.212663i
$21$	−9.00000			−1.96396
$22$		0			0
$23$	−8.00000			−1.66812			−0.834058	−	0.551677i	$-0.813988\pi$
$23$	−8.00000			−1.66812			−0.834058	+	0.551677i	$0.813988\pi$
$24$	2.78115	−	8.55951i	0.567700	−	1.74720i
$25$	−0.809017	+	0.587785i	−0.161803	+	0.117557i
$26$	3.23607	+	2.35114i	0.634645	+	0.461097i
$27$	−2.78115	−	8.55951i	−0.535233	−	1.64728i
$28$	−0.927051	−	2.85317i	−0.175196	−	0.539198i
$29$	4.85410	+	3.52671i	0.901384	+	0.654894i	0.938821	−	0.344405i	$-0.111919\pi$
$29$	4.85410	+	3.52671i	0.901384	+	0.654894i	−0.0374370	+	0.999299i	$0.511919\pi$
$30$	2.42705	−	1.76336i	0.443117	−	0.321943i
$31$	−0.618034	+	1.90211i	−0.111002	+	0.341630i	−0.991092	−	0.133177i	$-0.957482\pi$
$31$	−0.618034	+	1.90211i	−0.111002	+	0.341630i	0.880090	+	0.474807i	$0.157482\pi$
$32$	5.00000			0.883883
$33$		0			0
$34$		0			0
$35$	0.927051	−	2.85317i	0.156700	−	0.482274i
$36$	4.85410	−	3.52671i	0.809017	−	0.587785i
$37$	6.47214	+	4.70228i	1.06401	+	0.773050i	0.974827	−	0.222965i	$-0.0715734\pi$
$37$	6.47214	+	4.70228i	1.06401	+	0.773050i	0.0891861	+	0.996015i	$0.471573\pi$
$38$	−1.23607	−	3.80423i	−0.200517	−	0.617127i
$39$	3.70820	+	11.4127i	0.593788	+	1.82749i
$40$	2.42705	+	1.76336i	0.383750	+	0.278811i
$41$	−4.04508	+	2.93893i	−0.631736	+	0.458983i	−0.857001	−	0.515314i	$-0.827675\pi$
$41$	−4.04508	+	2.93893i	−0.631736	+	0.458983i	0.225265	+	0.974298i	$0.427675\pi$
$42$	−2.78115	+	8.55951i	−0.429141	+	1.32076i
$43$	−5.00000			−0.762493			−0.381246	−	0.924473i	$-0.624505\pi$
$43$	−5.00000			−0.762493			−0.381246	+	0.924473i	$0.624505\pi$
$44$		0			0
$45$	6.00000			0.894427
$46$	−2.47214	+	7.60845i	−0.364497	+	1.12181i
$47$	2.42705	−	1.76336i	0.354022	−	0.257212i	−0.396533	−	0.918021i	$-0.629787\pi$
$47$	2.42705	−	1.76336i	0.354022	−	0.257212i	0.750554	+	0.660809i	$0.229787\pi$
$48$	−2.42705	−	1.76336i	−0.350315	−	0.254518i
$49$	0.618034	+	1.90211i	0.0882906	+	0.271730i
$50$	0.309017	+	0.951057i	0.0437016	+	0.134500i
$51$		0			0
$52$	−3.23607	+	2.35114i	−0.448762	+	0.326045i
$53$	1.23607	−	3.80423i	0.169787	−	0.522551i	−0.829570	−	0.558403i	$-0.811414\pi$
$53$	1.23607	−	3.80423i	0.169787	−	0.522551i	0.999357	+	0.0358519i	$0.0114145\pi$
$54$	−9.00000			−1.22474
$55$		0			0
$56$	−9.00000			−1.20268
$57$	3.70820	−	11.4127i	0.491164	−	1.51165i
$58$	4.85410	−	3.52671i	0.637375	−	0.463080i
$59$	1.61803	+	1.17557i	0.210650	+	0.153046i	0.688108	−	0.725608i	$-0.258442\pi$
$59$	1.61803	+	1.17557i	0.210650	+	0.153046i	−0.477458	+	0.878655i	$0.658442\pi$
$60$	0.927051	+	2.85317i	0.119682	+	0.368343i
$61$	3.39919	+	10.4616i	0.435221	+	1.33947i	0.892860	+	0.450335i	$0.148695\pi$
$61$	3.39919	+	10.4616i	0.435221	+	1.33947i	−0.457638	+	0.889138i	$0.651305\pi$
$62$	1.61803	+	1.17557i	0.205491	+	0.149298i
$63$	−14.5623	+	10.5801i	−1.83468	+	1.33297i
$64$	2.16312	−	6.65740i	0.270390	−	0.832174i
$65$	−4.00000			−0.496139
$66$		0			0
$67$	−13.0000			−1.58820			−0.794101	−	0.607785i	$-0.792058\pi$
$67$	−13.0000			−1.58820			−0.794101	+	0.607785i	$0.792058\pi$
$68$		0			0
$69$	−19.4164	+	14.1068i	−2.33746	+	1.69826i
$70$	−2.42705	−	1.76336i	−0.290088	−	0.210761i
$71$	0.618034	+	1.90211i	0.0733471	+	0.225739i	0.981009	−	0.193963i	$-0.0621343\pi$
$71$	0.618034	+	1.90211i	0.0733471	+	0.225739i	−0.907662	+	0.419703i	$0.862134\pi$
$72$	−5.56231	−	17.1190i	−0.655524	−	2.01750i
$73$	−6.47214	−	4.70228i	−0.757506	−	0.550360i	0.140638	−	0.990061i	$-0.455085\pi$
$73$	−6.47214	−	4.70228i	−0.757506	−	0.550360i	−0.898144	+	0.439701i	$0.855085\pi$
$74$	6.47214	−	4.70228i	0.752371	−	0.546629i
$75$	−0.927051	+	2.85317i	−0.107047	+	0.329456i
$76$	4.00000			0.458831
$77$		0			0
$78$	12.0000			1.35873
$79$	−3.09017	+	9.51057i	−0.347671	+	1.07002i	0.612467	+	0.790496i	$0.290177\pi$
$79$	−3.09017	+	9.51057i	−0.347671	+	1.07002i	−0.960138	+	0.279526i	$0.909823\pi$
$80$	0.809017	−	0.587785i	0.0904508	−	0.0657164i
$81$	−7.28115	−	5.29007i	−0.809017	−	0.587785i
$82$	1.54508	+	4.75528i	0.170626	+	0.525133i
$83$	−1.23607	−	3.80423i	−0.135676	−	0.417568i	0.860018	−	0.510263i	$-0.170452\pi$
$83$	−1.23607	−	3.80423i	−0.135676	−	0.417568i	−0.995695	+	0.0926948i	$0.970452\pi$
$84$	−7.28115	−	5.29007i	−0.794439	−	0.577194i
$85$		0			0
$86$	−1.54508	+	4.75528i	−0.166611	+	0.512775i
$87$	18.0000			1.92980
$88$		0			0
$89$	1.00000			0.106000			0.0529999	−	0.998595i	$-0.483122\pi$
$89$	1.00000			0.106000			0.0529999	+	0.998595i	$0.483122\pi$
$90$	1.85410	−	5.70634i	0.195440	−	0.601501i
$91$	9.70820	−	7.05342i	1.01770	−	0.739400i
$92$	−6.47214	−	4.70228i	−0.674767	−	0.490247i
$93$	1.85410	+	5.70634i	0.192261	+	0.591720i
$94$	−0.927051	−	2.85317i	−0.0956180	−	0.294282i
$95$	3.23607	+	2.35114i	0.332014	+	0.241222i
$96$	12.1353	−	8.81678i	1.23855	−	0.899859i
$97$	−2.47214	+	7.60845i	−0.251007	+	0.772521i	0.743583	+	0.668644i	$0.233125\pi$
$97$	−2.47214	+	7.60845i	−0.251007	+	0.772521i	−0.994590	+	0.103877i	$0.966875\pi$
$98$	2.00000			0.202031
$99$		0			0
$100$	−1.00000			−0.100000
$101$	1.54508	−	4.75528i	0.153742	−	0.473168i	−0.844290	−	0.535887i	$-0.819977\pi$
$101$	1.54508	−	4.75528i	0.153742	−	0.473168i	0.998031	+	0.0627190i	$0.0199772\pi$
$102$		0			0
$103$	−6.47214	−	4.70228i	−0.637719	−	0.463330i	0.221347	−	0.975195i	$-0.428955\pi$
$103$	−6.47214	−	4.70228i	−0.637719	−	0.463330i	−0.859066	+	0.511865i	$0.828955\pi$
$104$	3.70820	+	11.4127i	0.363619	+	1.11911i
$105$	−2.78115	−	8.55951i	−0.271413	−	0.835323i
$106$	−3.23607	−	2.35114i	−0.314315	−	0.228363i
$107$	7.28115	−	5.29007i	0.703896	−	0.511410i	−0.177303	−	0.984156i	$-0.556737\pi$
$107$	7.28115	−	5.29007i	0.703896	−	0.511410i	0.881199	+	0.472746i	$0.156737\pi$
$108$	2.78115	−	8.55951i	0.267617	−	0.823639i
$109$	9.00000			0.862044			0.431022	−	0.902342i	$-0.358153\pi$
$109$	9.00000			0.862044			0.431022	+	0.902342i	$0.358153\pi$
$110$		0			0
$111$	24.0000			2.27798
$112$	−0.927051	+	2.85317i	−0.0875981	+	0.269599i
$113$	−4.85410	+	3.52671i	−0.456636	+	0.331765i	−0.792210	−	0.610249i	$-0.791070\pi$
$113$	−4.85410	+	3.52671i	−0.456636	+	0.331765i	0.335575	+	0.942014i	$0.391070\pi$
$114$	−9.70820	−	7.05342i	−0.909257	−	0.660614i
$115$	−2.47214	−	7.60845i	−0.230528	−	0.709492i
$116$	1.85410	+	5.70634i	0.172149	+	0.529820i
$117$	19.4164	+	14.1068i	1.79505	+	1.30418i
$118$	1.61803	−	1.17557i	0.148952	−	0.108220i
$119$		0			0
$120$	9.00000			0.821584
$121$		0			0
$122$	11.0000			0.995893
$123$	−4.63525	+	14.2658i	−0.417947	+	1.28631i
$124$	−1.61803	+	1.17557i	−0.145304	+	0.105569i
$125$	−0.809017	−	0.587785i	−0.0723607	−	0.0525731i
$126$	5.56231	+	17.1190i	0.495530	+	1.52508i
$127$	−3.39919	−	10.4616i	−0.301629	−	0.928319i	−0.980914	−	0.194444i	$-0.937710\pi$
$127$	−3.39919	−	10.4616i	−0.301629	−	0.928319i	0.679285	−	0.733875i	$-0.262290\pi$
$128$	2.42705	+	1.76336i	0.214523	+	0.155860i
$129$	−12.1353	+	8.81678i	−1.06845	+	0.776274i
$130$	−1.23607	+	3.80423i	−0.108410	+	0.333653i
$131$		0			0			−	1.00000i	$-0.5\pi$
$131$		0			0				1.00000i	$0.5\pi$
$132$		0			0
$133$	−12.0000			−1.04053
$134$	−4.01722	+	12.3637i	−0.347035	+	1.06806i
$135$	7.28115	−	5.29007i	0.626662	−	0.455296i
$136$		0			0
$137$		0			0		0.951057	−	0.309017i	$-0.100000\pi$
$137$		0			0		−0.951057	+	0.309017i	$0.900000\pi$
$138$	7.41641	+	22.8254i	0.631327	+	1.94302i
$139$	−14.5623	−	10.5801i	−1.23516	−	0.897395i	−0.237893	−	0.971291i	$-0.576457\pi$
$139$	−14.5623	−	10.5801i	−1.23516	−	0.897395i	−0.997266	+	0.0738961i	$0.976457\pi$
$140$	2.42705	−	1.76336i	0.205123	−	0.149031i
$141$	2.78115	−	8.55951i	0.234215	−	0.720841i
$142$	2.00000			0.167836
$143$		0			0
$144$	−6.00000			−0.500000
$145$	−1.85410	+	5.70634i	−0.153975	+	0.473886i
$146$	−6.47214	+	4.70228i	−0.535638	+	0.389164i
$147$	4.85410	+	3.52671i	0.400360	+	0.290878i
$148$	2.47214	+	7.60845i	0.203208	+	0.625411i
$149$	5.25329	+	16.1680i	0.430366	+	1.32453i	0.897761	+	0.440482i	$0.145193\pi$
$149$	5.25329	+	16.1680i	0.430366	+	1.32453i	−0.467395	+	0.884049i	$0.654807\pi$
$150$	2.42705	+	1.76336i	0.198168	+	0.143977i
$151$	−11.3262	+	8.22899i	−0.921716	+	0.669666i	−0.943951	−	0.330087i	$-0.892922\pi$
$151$	−11.3262	+	8.22899i	−0.921716	+	0.669666i	0.0222344	+	0.999753i	$0.492922\pi$
$152$	3.70820	−	11.4127i	0.300775	−	0.925690i
$153$		0			0
$154$		0			0
$155$	−2.00000			−0.160644
$156$	−3.70820	+	11.4127i	−0.296894	+	0.913746i
$157$	6.47214	−	4.70228i	0.516533	−	0.375283i	−0.298763	−	0.954327i	$-0.596574\pi$
$157$	6.47214	−	4.70228i	0.516533	−	0.375283i	0.815296	+	0.579044i	$0.196574\pi$
$158$	8.09017	+	5.87785i	0.643619	+	0.467617i
$159$	−3.70820	−	11.4127i	−0.294080	−	0.905084i
$160$	1.54508	+	4.75528i	0.122150	+	0.375938i
$161$	19.4164	+	14.1068i	1.53023	+	1.11178i
$162$	−7.28115	+	5.29007i	−0.572061	+	0.415627i
$163$	−5.25329	+	16.1680i	−0.411469	+	1.26637i	0.503902	+	0.863761i	$0.331897\pi$
$163$	−5.25329	+	16.1680i	−0.411469	+	1.26637i	−0.915371	+	0.402611i	$0.868103\pi$
$164$	−5.00000			−0.390434
$165$		0			0
$166$	−4.00000			−0.310460
$167$	2.16312	−	6.65740i	0.167387	−	0.515165i	−0.831817	−	0.555050i	$-0.812699\pi$
$167$	2.16312	−	6.65740i	0.167387	−	0.515165i	0.999204	+	0.0398851i	$0.0126992\pi$
$168$	−21.8435	+	15.8702i	−1.68526	+	1.22441i
$169$	−2.42705	−	1.76336i	−0.186696	−	0.135643i
$170$		0			0
$171$	−7.41641	−	22.8254i	−0.567147	−	1.74550i
$172$	−4.04508	−	2.93893i	−0.308435	−	0.224091i
$173$	19.4164	−	14.1068i	1.47620	−	1.07252i	0.497446	−	0.867495i	$-0.334271\pi$
$173$	19.4164	−	14.1068i	1.47620	−	1.07252i	0.978756	−	0.205029i	$-0.0657288\pi$
$174$	5.56231	−	17.1190i	0.421677	−	1.29779i
$175$	3.00000			0.226779
$176$		0			0
$177$	6.00000			0.450988
$178$	0.309017	−	0.951057i	0.0231618	−	0.0712847i
$179$	21.0344	−	15.2824i	1.57219	−	1.14226i	0.647165	−	0.762350i	$-0.275954\pi$
$179$	21.0344	−	15.2824i	1.57219	−	1.14226i	0.925023	−	0.379912i	$-0.124046\pi$
$180$	4.85410	+	3.52671i	0.361803	+	0.262866i
$181$	−5.87132	−	18.0701i	−0.436412	−	1.34314i	−0.891633	−	0.452759i	$-0.850440\pi$
$181$	−5.87132	−	18.0701i	−0.436412	−	1.34314i	0.455221	−	0.890379i	$-0.349560\pi$
$182$	−3.70820	−	11.4127i	−0.274870	−	0.845964i
$183$	26.6976	+	19.3969i	1.97354	+	1.43386i
$184$	−19.4164	+	14.1068i	−1.43140	+	1.03997i
$185$	−2.47214	+	7.60845i	−0.181755	+	0.559385i
$186$	6.00000			0.439941
$187$		0			0
$188$	3.00000			0.218797
$189$	−8.34346	+	25.6785i	−0.606897	+	1.86784i
$190$	3.23607	−	2.35114i	0.234769	−	0.170570i
$191$	−6.47214	−	4.70228i	−0.468307	−	0.340245i	0.328474	−	0.944513i	$-0.393466\pi$
$191$	−6.47214	−	4.70228i	−0.468307	−	0.340245i	−0.796781	+	0.604268i	$0.793466\pi$
$192$	−6.48936	−	19.9722i	−0.468329	−	1.44137i
$193$	3.09017	+	9.51057i	0.222435	+	0.684585i	0.998542	+	0.0539836i	$0.0171919\pi$
$193$	3.09017	+	9.51057i	0.222435	+	0.684585i	−0.776107	+	0.630602i	$0.782808\pi$
$194$	6.47214	+	4.70228i	0.464672	+	0.337604i
$195$	−9.70820	+	7.05342i	−0.695219	+	0.505106i
$196$	−0.618034	+	1.90211i	−0.0441453	+	0.135865i
$197$	14.0000			0.997459			0.498729	−	0.866758i	$-0.333800\pi$
$197$	14.0000			0.997459			0.498729	+	0.866758i	$0.333800\pi$
$198$		0			0
$199$	−6.00000			−0.425329			−0.212664	−	0.977125i	$-0.568214\pi$
$199$	−6.00000			−0.425329			−0.212664	+	0.977125i	$0.568214\pi$
$200$	−0.927051	+	2.85317i	−0.0655524	+	0.201750i
$201$	−31.5517	+	22.9236i	−2.22548	+	1.61691i
$202$	−4.04508	−	2.93893i	−0.284611	−	0.206782i
$203$	−5.56231	−	17.1190i	−0.390397	−	1.20152i
$204$		0			0
$205$	−4.04508	−	2.93893i	−0.282521	−	0.205264i
$206$	−6.47214	+	4.70228i	−0.450935	+	0.327624i
$207$	−14.8328	+	45.6507i	−1.03095	+	3.17294i
$208$	4.00000			0.277350
$209$		0			0
$210$	−9.00000			−0.621059
$211$	6.79837	−	20.9232i	0.468019	−	1.44042i	−0.387126	−	0.922027i	$-0.626532\pi$
$211$	6.79837	−	20.9232i	0.468019	−	1.44042i	0.855145	−	0.518389i	$-0.173468\pi$
$212$	3.23607	−	2.35114i	0.222254	−	0.161477i
$213$	4.85410	+	3.52671i	0.332598	+	0.241646i
$214$	−2.78115	−	8.55951i	−0.190116	−	0.585116i
$215$	−1.54508	−	4.75528i	−0.105374	−	0.324308i
$216$	−21.8435	−	15.8702i	−1.48626	−	1.07983i
$217$	4.85410	−	3.52671i	0.329518	−	0.239409i
$218$	2.78115	−	8.55951i	0.188363	−	0.579723i
$219$	−24.0000			−1.62177
$220$		0			0
$221$		0			0
$222$	7.41641	−	22.8254i	0.497757	−	1.53194i
$223$	−4.04508	+	2.93893i	−0.270879	+	0.196805i	−0.714929	−	0.699197i	$-0.753541\pi$
$223$	−4.04508	+	2.93893i	−0.270879	+	0.196805i	0.444050	+	0.896002i	$0.353541\pi$
$224$	−12.1353	−	8.81678i	−0.810821	−	0.589096i
$225$	1.85410	+	5.70634i	0.123607	+	0.380423i
$226$	1.85410	+	5.70634i	0.123333	+	0.379580i
$227$	−0.809017	−	0.587785i	−0.0536963	−	0.0390127i	0.560613	−	0.828078i	$-0.310565\pi$
$227$	−0.809017	−	0.587785i	−0.0536963	−	0.0390127i	−0.614310	+	0.789065i	$0.710565\pi$
$228$	9.70820	−	7.05342i	0.642942	−	0.467124i
$229$	−0.309017	+	0.951057i	−0.0204204	+	0.0628476i	−0.960747	−	0.277424i	$-0.910519\pi$
$229$	−0.309017	+	0.951057i	−0.0204204	+	0.0628476i	0.940327	+	0.340272i	$0.110519\pi$
$230$	−8.00000			−0.527504
$231$		0			0
$232$	18.0000			1.18176
$233$	7.41641	−	22.8254i	0.485865	−	1.49534i	−0.344859	−	0.938654i	$-0.612073\pi$
$233$	7.41641	−	22.8254i	0.485865	−	1.49534i	0.830724	−	0.556684i	$-0.187927\pi$
$234$	19.4164	−	14.1068i	1.26929	−	0.922193i
$235$	2.42705	+	1.76336i	0.158323	+	0.115029i
$236$	0.618034	+	1.90211i	0.0402306	+	0.123817i
$237$	9.27051	+	28.5317i	0.602184	+	1.85333i
$238$		0			0
$239$	3.23607	−	2.35114i	0.209324	−	0.152083i	−0.478184	−	0.878260i	$-0.658705\pi$
$239$	3.23607	−	2.35114i	0.209324	−	0.152083i	0.687508	+	0.726177i	$0.258705\pi$
$240$	0.927051	−	2.85317i	0.0598409	−	0.184171i
$241$	−23.0000			−1.48156			−0.740780	−	0.671748i	$-0.765544\pi$
$241$	−23.0000			−1.48156			−0.740780	+	0.671748i	$0.765544\pi$
$242$		0			0
$243$		0			0
$244$	−3.39919	+	10.4616i	−0.217611	+	0.669737i
$245$	−1.61803	+	1.17557i	−0.103372	+	0.0751044i
$246$	12.1353	+	8.81678i	0.773716	+	0.562137i
$247$	4.94427	+	15.2169i	0.314596	+	0.968228i
$248$	1.85410	+	5.70634i	0.117736	+	0.362353i
$249$	−9.70820	−	7.05342i	−0.615232	−	0.446993i
$250$	−0.809017	+	0.587785i	−0.0511667	+	0.0371748i
$251$	5.56231	−	17.1190i	0.351090	−	1.08054i	−0.607153	−	0.794585i	$-0.707688\pi$
$251$	5.56231	−	17.1190i	0.351090	−	1.08054i	0.958242	−	0.285958i	$-0.0923116\pi$
$252$	−18.0000			−1.13389
$253$		0			0
$254$	−11.0000			−0.690201
$255$		0			0
$256$	13.7533	−	9.99235i	0.859581	−	0.624522i
$257$	4.85410	+	3.52671i	0.302791	+	0.219990i	0.728797	−	0.684730i	$-0.240080\pi$
$257$	4.85410	+	3.52671i	0.302791	+	0.219990i	−0.426006	+	0.904720i	$0.640080\pi$
$258$	4.63525	+	14.2658i	0.288578	+	0.888153i
$259$	−7.41641	−	22.8254i	−0.460833	−	1.41830i
$260$	−3.23607	−	2.35114i	−0.200692	−	0.145812i
$261$	29.1246	−	21.1603i	1.80277	−	1.30979i
$262$		0			0
$263$	−12.0000			−0.739952			−0.369976	−	0.929041i	$-0.620634\pi$
$263$	−12.0000			−0.739952			−0.369976	+	0.929041i	$0.620634\pi$
$264$		0			0
$265$	4.00000			0.245718
$266$	−3.70820	+	11.4127i	−0.227365	+	0.699756i
$267$	2.42705	−	1.76336i	0.148533	−	0.107916i
$268$	−10.5172	−	7.64121i	−0.642442	−	0.466761i
$269$	6.48936	+	19.9722i	0.395663	+	1.21773i	0.928444	+	0.371472i	$0.121147\pi$
$269$	6.48936	+	19.9722i	0.395663	+	1.21773i	−0.532781	+	0.846253i	$0.678853\pi$
$270$	−2.78115	−	8.55951i	−0.169256	−	0.520915i
$271$		0			0		0.587785	−	0.809017i	$-0.300000\pi$
$271$		0			0		−0.587785	+	0.809017i	$0.700000\pi$
$272$		0			0
$273$	11.1246	−	34.2380i	0.673292	−	2.07218i
$274$		0			0
$275$		0			0
$276$	−24.0000			−1.44463
$277$	−4.32624	+	13.3148i	−0.259938	+	0.800008i	0.732878	+	0.680360i	$0.238177\pi$
$277$	−4.32624	+	13.3148i	−0.259938	+	0.800008i	−0.992816	+	0.119648i	$0.961823\pi$
$278$	−14.5623	+	10.5801i	−0.873389	+	0.634554i
$279$	9.70820	+	7.05342i	0.581215	+	0.422277i
$280$	−2.78115	−	8.55951i	−0.166206	−	0.511528i
$281$	1.85410	+	5.70634i	0.110606	+	0.340412i	0.991005	−	0.133822i	$-0.0427251\pi$
$281$	1.85410	+	5.70634i	0.110606	+	0.340412i	−0.880399	+	0.474234i	$0.842725\pi$
$282$	−7.28115	−	5.29007i	−0.433586	−	0.315019i
$283$	−10.5172	+	7.64121i	−0.625184	+	0.454223i	−0.854728	−	0.519075i	$-0.826276\pi$
$283$	−10.5172	+	7.64121i	−0.625184	+	0.454223i	0.229545	+	0.973298i	$0.426276\pi$
$284$	−0.618034	+	1.90211i	−0.0366736	+	0.112870i
$285$	12.0000			0.710819
$286$		0			0
$287$	15.0000			0.885422
$288$	9.27051	−	28.5317i	0.546270	−	1.68125i
$289$	13.7533	−	9.99235i	0.809017	−	0.587785i
$290$	4.85410	+	3.52671i	0.285043	+	0.207096i
$291$	7.41641	+	22.8254i	0.434758	+	1.33805i
$292$	−2.47214	−	7.60845i	−0.144671	−	0.445251i
$293$	−27.5066	−	19.9847i	−1.60695	−	1.16752i	−0.872153	−	0.489233i	$-0.837277\pi$
$293$	−27.5066	−	19.9847i	−1.60695	−	1.16752i	−0.734798	−	0.678286i	$-0.762723\pi$
$294$	4.85410	−	3.52671i	0.283097	−	0.205682i
$295$	−0.618034	+	1.90211i	−0.0359833	+	0.110745i
$296$	24.0000			1.39497
$297$		0			0
$298$	17.0000			0.984784
$299$	9.88854	−	30.4338i	0.571869	−	1.76003i
$300$	−2.42705	+	1.76336i	−0.140126	+	0.101807i
$301$	12.1353	+	8.81678i	0.699464	+	0.508191i
$302$	4.32624	+	13.3148i	0.248947	+	0.766180i
$303$	−4.63525	−	14.2658i	−0.266288	−	0.819552i
$304$	−3.23607	−	2.35114i	−0.185601	−	0.134847i
$305$	−8.89919	+	6.46564i	−0.509566	+	0.370221i
$306$		0			0
$307$	8.00000			0.456584			0.228292	−	0.973593i	$-0.426686\pi$
$307$	8.00000			0.456584			0.228292	+	0.973593i	$0.426686\pi$
$308$		0			0
$309$	−24.0000			−1.36531
$310$	−0.618034	+	1.90211i	−0.0351020	+	0.108033i
$311$	−19.4164	+	14.1068i	−1.10100	+	0.799926i	−0.981223	−	0.192875i	$-0.938219\pi$
$311$	−19.4164	+	14.1068i	−1.10100	+	0.799926i	−0.119780	+	0.992800i	$0.538219\pi$
$312$	29.1246	+	21.1603i	1.64886	+	1.19796i
$313$	2.47214	+	7.60845i	0.139733	+	0.430055i	0.996296	−	0.0859876i	$-0.0274046\pi$
$313$	2.47214	+	7.60845i	0.139733	+	0.430055i	−0.856563	+	0.516043i	$0.827405\pi$
$314$	−2.47214	−	7.60845i	−0.139511	−	0.429370i
$315$	−14.5623	−	10.5801i	−0.820493	−	0.596123i
$316$	−8.09017	+	5.87785i	−0.455108	+	0.330655i
$317$	5.56231	−	17.1190i	0.312410	−	0.961500i	−0.664397	−	0.747380i	$-0.731312\pi$
$317$	5.56231	−	17.1190i	0.312410	−	0.961500i	0.976807	−	0.214120i	$-0.0686884\pi$
$318$	−12.0000			−0.672927
$319$		0			0
$320$	7.00000			0.391312
$321$	8.34346	−	25.6785i	0.465686	−	1.43324i
$322$	19.4164	−	14.1068i	1.08203	−	0.786144i
$323$		0			0
$324$	−2.78115	−	8.55951i	−0.154508	−	0.475528i
$325$	−1.23607	−	3.80423i	−0.0685647	−	0.211020i
$326$	13.7533	+	9.99235i	0.761724	+	0.553425i
$327$	21.8435	−	15.8702i	1.20795	−	0.877624i
$328$	−4.63525	+	14.2658i	−0.255939	+	0.787700i
$329$	−9.00000			−0.496186
$330$		0			0
$331$	−20.0000			−1.09930			−0.549650	−	0.835395i	$-0.685239\pi$
$331$	−20.0000			−1.09930			−0.549650	+	0.835395i	$0.685239\pi$
$332$	1.23607	−	3.80423i	0.0678380	−	0.208784i
$333$	38.8328	−	28.2137i	2.12803	−	1.54610i
$334$	−5.66312	−	4.11450i	−0.309872	−	0.225135i
$335$	−4.01722	−	12.3637i	−0.219484	−	0.675503i
$336$	2.78115	+	8.55951i	0.151724	+	0.466959i
$337$	−9.70820	−	7.05342i	−0.528840	−	0.384224i	0.291084	−	0.956698i	$-0.405984\pi$
$337$	−9.70820	−	7.05342i	−0.528840	−	0.384224i	−0.819924	+	0.572473i	$0.805984\pi$
$338$	−2.42705	+	1.76336i	−0.132014	+	0.0959139i
$339$	−5.56231	+	17.1190i	−0.302103	+	0.929777i
$340$		0			0
$341$		0			0
$342$	−24.0000			−1.29777
$343$	−4.63525	+	14.2658i	−0.250280	+	0.770283i
$344$	−12.1353	+	8.81678i	−0.654289	+	0.475369i
$345$	−19.4164	−	14.1068i	−1.04534	−	0.759487i
$346$	−7.41641	−	22.8254i	−0.398709	−	1.22710i
$347$	−2.16312	−	6.65740i	−0.116122	−	0.357388i	0.876057	−	0.482207i	$-0.160165\pi$
$347$	−2.16312	−	6.65740i	−0.116122	−	0.357388i	−0.992179	+	0.124820i	$0.960165\pi$
$348$	14.5623	+	10.5801i	0.780622	+	0.567155i
$349$	17.7984	−	12.9313i	0.952725	−	0.692195i	0.00127528	−	0.999999i	$-0.499594\pi$
$349$	17.7984	−	12.9313i	0.952725	−	0.692195i	0.951450	+	0.307804i	$0.0995941\pi$
$350$	0.927051	−	2.85317i	0.0495530	−	0.152508i
$351$	36.0000			1.92154
$352$		0			0
$353$	6.00000			0.319348			0.159674	−	0.987170i	$-0.448956\pi$
$353$	6.00000			0.319348			0.159674	+	0.987170i	$0.448956\pi$
$354$	1.85410	−	5.70634i	0.0985444	−	0.303289i
$355$	−1.61803	+	1.17557i	−0.0858763	+	0.0623928i
$356$	0.809017	+	0.587785i	0.0428778	+	0.0311526i
$357$		0			0
$358$	−8.03444	−	24.7275i	−0.424633	−	1.30689i
$359$	−22.6525	−	16.4580i	−1.19555	−	0.868619i	−0.201712	−	0.979445i	$-0.564651\pi$
$359$	−22.6525	−	16.4580i	−1.19555	−	0.868619i	−0.993840	+	0.110826i	$0.964651\pi$
$360$	14.5623	−	10.5801i	0.767501	−	0.557622i
$361$	−0.927051	+	2.85317i	−0.0487922	+	0.150167i
$362$	−19.0000			−0.998618
$363$		0			0
$364$	12.0000			0.628971
$365$	2.47214	−	7.60845i	0.129398	−	0.398245i
$366$	26.6976	−	19.3969i	1.39550	−	1.01389i
$367$	−0.809017	−	0.587785i	−0.0422303	−	0.0306821i	0.566470	−	0.824082i	$-0.308309\pi$
$367$	−0.809017	−	0.587785i	−0.0422303	−	0.0306821i	−0.608700	+	0.793400i	$0.708309\pi$
$368$	2.47214	+	7.60845i	0.128869	+	0.396618i
$369$	9.27051	+	28.5317i	0.482603	+	1.48530i
$370$	6.47214	+	4.70228i	0.336470	+	0.244460i
$371$	−9.70820	+	7.05342i	−0.504025	+	0.366195i
$372$	−1.85410	+	5.70634i	−0.0961307	+	0.295860i
$373$	−18.0000			−0.932005			−0.466002	−	0.884783i	$-0.654306\pi$
$373$	−18.0000			−0.932005			−0.466002	+	0.884783i	$0.654306\pi$
$374$		0			0
$375$	−3.00000			−0.154919
$376$	2.78115	−	8.55951i	0.143427	−	0.441423i
$377$	−19.4164	+	14.1068i	−0.999996	+	0.726540i
$378$	21.8435	+	15.8702i	1.12351	+	0.816275i
$379$	−6.79837	−	20.9232i	−0.349209	−	1.07475i	−0.959292	−	0.282417i	$-0.908864\pi$
$379$	−6.79837	−	20.9232i	−0.349209	−	1.07475i	0.610083	−	0.792338i	$-0.291136\pi$
$380$	1.23607	+	3.80423i	0.0634089	+	0.195153i
$381$	−26.6976	−	19.3969i	−1.36776	−	0.993734i
$382$	−6.47214	+	4.70228i	−0.331143	+	0.240590i
$383$		0			0		−0.951057	−	0.309017i	$-0.900000\pi$
$383$		0			0		0.951057	+	0.309017i	$0.100000\pi$
$384$	9.00000			0.459279
$385$		0			0
$386$	10.0000			0.508987
$387$	−9.27051	+	28.5317i	−0.471246	+	1.45035i
$388$	−6.47214	+	4.70228i	−0.328573	+	0.238722i
$389$	2.42705	+	1.76336i	0.123056	+	0.0894057i	0.647611	−	0.761971i	$-0.275768\pi$
$389$	2.42705	+	1.76336i	0.123056	+	0.0894057i	−0.524555	+	0.851377i	$0.675768\pi$
$390$	3.70820	+	11.4127i	0.187772	+	0.577903i
$391$		0			0
$392$	4.85410	+	3.52671i	0.245169	+	0.178126i
$393$		0			0
$394$	4.32624	−	13.3148i	0.217953	−	0.670789i
$395$	−10.0000			−0.503155
$396$		0			0
$397$	−12.0000			−0.602263			−0.301131	−	0.953583i	$-0.597364\pi$
$397$	−12.0000			−0.602263			−0.301131	+	0.953583i	$0.597364\pi$
$398$	−1.85410	+	5.70634i	−0.0929377	+	0.286033i
$399$	−29.1246	+	21.1603i	−1.45805	+	1.05934i
$400$	0.809017	+	0.587785i	0.0404508	+	0.0293893i
$401$	−11.4336	−	35.1891i	−0.570968	−	1.75726i	−0.649515	−	0.760349i	$-0.725028\pi$
$401$	−11.4336	−	35.1891i	−0.570968	−	1.75726i	0.0785467	−	0.996910i	$-0.474972\pi$
$402$	12.0517	+	37.0912i	0.601082	+	1.84994i
$403$	−6.47214	−	4.70228i	−0.322400	−	0.234237i
$404$	4.04508	−	2.93893i	0.201250	−	0.146217i
$405$	2.78115	−	8.55951i	0.138197	−	0.425325i
$406$	−18.0000			−0.893325
$407$		0			0
$408$		0			0
$409$	−6.48936	+	19.9722i	−0.320878	+	0.987561i	0.652389	+	0.757884i	$0.273767\pi$
$409$	−6.48936	+	19.9722i	−0.320878	+	0.987561i	−0.973267	+	0.229677i	$0.926233\pi$
$410$	−4.04508	+	2.93893i	−0.199773	+	0.145143i
$411$		0			0
$412$	−2.47214	−	7.60845i	−0.121793	−	0.374842i
$413$	−1.85410	−	5.70634i	−0.0912344	−	0.280791i
$414$	38.8328	+	28.2137i	1.90853	+	1.38663i
$415$	3.23607	−	2.35114i	0.158852	−	0.115413i
$416$	−6.18034	+	19.0211i	−0.303016	+	0.932588i
$417$	−54.0000			−2.64439
$418$		0			0
$419$	32.0000			1.56330			0.781651	−	0.623716i	$-0.214378\pi$
$419$	32.0000			1.56330			0.781651	+	0.623716i	$0.214378\pi$
$420$	2.78115	−	8.55951i	0.135706	−	0.417661i
$421$	−2.42705	+	1.76336i	−0.118287	+	0.0859407i	−0.645356	−	0.763882i	$-0.723291\pi$
$421$	−2.42705	+	1.76336i	−0.118287	+	0.0859407i	0.527069	+	0.849823i	$0.323291\pi$
$422$	−17.7984	−	12.9313i	−0.866411	−	0.629485i
$423$	−5.56231	−	17.1190i	−0.270449	−	0.832355i
$424$	−3.70820	−	11.4127i	−0.180086	−	0.554249i
$425$		0			0
$426$	4.85410	−	3.52671i	0.235182	−	0.170870i
$427$	10.1976	−	31.3849i	0.493495	−	1.51882i
$428$	9.00000			0.435031
$429$		0			0
$430$	−5.00000			−0.241121
$431$	−5.56231	+	17.1190i	−0.267927	+	0.824594i	0.723078	+	0.690767i	$0.242727\pi$
$431$	−5.56231	+	17.1190i	−0.267927	+	0.824594i	−0.991005	+	0.133827i	$0.957273\pi$
$432$	−7.28115	+	5.29007i	−0.350315	+	0.254518i
$433$	−11.3262	−	8.22899i	−0.544304	−	0.395460i	0.281377	−	0.959597i	$-0.409209\pi$
$433$	−11.3262	−	8.22899i	−0.544304	−	0.395460i	−0.825681	+	0.564137i	$0.809209\pi$
$434$	−1.85410	−	5.70634i	−0.0889997	−	0.273913i
$435$	5.56231	+	17.1190i	0.266692	+	0.820794i
$436$	7.28115	+	5.29007i	0.348704	+	0.253348i
$437$	−25.8885	+	18.8091i	−1.23842	+	0.899763i
$438$	−7.41641	+	22.8254i	−0.354370	+	1.09064i
$439$	−8.00000			−0.381819			−0.190910	−	0.981608i	$-0.561144\pi$
$439$	−8.00000			−0.381819			−0.190910	+	0.981608i	$0.561144\pi$
$440$		0			0
$441$	12.0000			0.571429
$442$		0			0
$443$	20.2254	−	14.6946i	0.960939	−	0.698163i	0.00757032	−	0.999971i	$-0.497590\pi$
$443$	20.2254	−	14.6946i	0.960939	−	0.698163i	0.953369	+	0.301808i	$0.0975903\pi$
$444$	19.4164	+	14.1068i	0.921462	+	0.669481i
$445$	0.309017	+	0.951057i	0.0146488	+	0.0450844i
$446$	1.54508	+	4.75528i	0.0731619	+	0.225169i
$447$	41.2599	+	29.9770i	1.95152	+	1.41787i
$448$	−16.9894	+	12.3435i	−0.802672	+	0.583175i
$449$	−4.01722	+	12.3637i	−0.189584	+	0.583481i	−0.999997	−	0.00237857i	$-0.999243\pi$
$449$	−4.01722	+	12.3637i	−0.189584	+	0.583481i	0.810413	+	0.585859i	$0.199243\pi$
$450$	6.00000			0.282843
$451$		0			0
$452$	−6.00000			−0.282216
$453$	−12.9787	+	39.9444i	−0.609793	+	1.87675i
$454$	−0.809017	+	0.587785i	−0.0379690	+	0.0275861i
$455$	9.70820	+	7.05342i	0.455128	+	0.330670i
$456$	−11.1246	−	34.2380i	−0.520958	−	1.60334i
$457$	−8.03444	−	24.7275i	−0.375835	−	1.15670i	−0.942913	−	0.333038i	$-0.891926\pi$
$457$	−8.03444	−	24.7275i	−0.375835	−	1.15670i	0.567078	−	0.823664i	$-0.308074\pi$
$458$	0.809017	+	0.587785i	0.0378029	+	0.0274654i
$459$		0			0
$460$	2.47214	−	7.60845i	0.115264	−	0.354746i
$461$	−7.00000			−0.326023			−0.163011	−	0.986624i	$-0.552121\pi$
$461$	−7.00000			−0.326023			−0.163011	+	0.986624i	$0.552121\pi$
$462$		0			0
$463$	−15.0000			−0.697109			−0.348555	−	0.937288i	$-0.613327\pi$
$463$	−15.0000			−0.697109			−0.348555	+	0.937288i	$0.613327\pi$
$464$	1.85410	−	5.70634i	0.0860745	−	0.264910i
$465$	−4.85410	+	3.52671i	−0.225104	+	0.163547i
$466$	−19.4164	−	14.1068i	−0.899448	−	0.653487i
$467$	8.34346	+	25.6785i	0.386089	+	1.18826i	0.935687	+	0.352831i	$0.114781\pi$
$467$	8.34346	+	25.6785i	0.386089	+	1.18826i	−0.549598	+	0.835429i	$0.685219\pi$
$468$	7.41641	+	22.8254i	0.342824	+	1.05510i
$469$	31.5517	+	22.9236i	1.45692	+	1.05851i
$470$	2.42705	−	1.76336i	0.111952	−	0.0813375i
$471$	7.41641	−	22.8254i	0.341730	−	1.05174i
$472$	6.00000			0.276172
$473$		0			0
$474$	30.0000			1.37795
$475$	−1.23607	+	3.80423i	−0.0567147	+	0.174550i
$476$		0			0
$477$	−19.4164	−	14.1068i	−0.889016	−	0.645908i
$478$	−1.23607	−	3.80423i	−0.0565364	−	0.174001i
$479$	−1.85410	−	5.70634i	−0.0847161	−	0.260729i	0.899721	−	0.436465i	$-0.143770\pi$
$479$	−1.85410	−	5.70634i	−0.0847161	−	0.260729i	−0.984437	+	0.175736i	$0.943770\pi$
$480$	12.1353	+	8.81678i	0.553896	+	0.402429i
$481$	−25.8885	+	18.8091i	−1.18042	+	0.857622i
$482$	−7.10739	+	21.8743i	−0.323733	+	0.996347i
$483$	72.0000			3.27611
$484$		0			0
$485$	−8.00000			−0.363261
$486$		0			0
$487$	6.47214	−	4.70228i	0.293280	−	0.213081i	−0.431409	−	0.902157i	$-0.641983\pi$
$487$	6.47214	−	4.70228i	0.293280	−	0.213081i	0.724689	+	0.689076i	$0.241983\pi$
$488$	26.6976	+	19.3969i	1.20854	+	0.878057i
$489$	15.7599	+	48.5039i	0.712686	+	2.19342i
$490$	0.618034	+	1.90211i	0.0279199	+	0.0859287i
$491$	17.7984	+	12.9313i	0.803229	+	0.583580i	0.911860	−	0.410502i	$-0.134646\pi$
$491$	17.7984	+	12.9313i	0.803229	+	0.583580i	−0.108630	+	0.994082i	$0.534646\pi$
$492$	−12.1353	+	8.81678i	−0.547100	+	0.397491i
$493$		0			0
$494$	16.0000			0.719874
$495$		0			0
$496$	2.00000			0.0898027
$497$	1.85410	−	5.70634i	0.0831678	−	0.255964i
$498$	−9.70820	+	7.05342i	−0.435035	+	0.316071i
$499$	33.9787	+	24.6870i	1.52110	+	1.10514i	0.960941	+	0.276753i	$0.0892585\pi$
$499$	33.9787	+	24.6870i	1.52110	+	1.10514i	0.560155	+	0.828388i	$0.310742\pi$
$500$	−0.309017	−	0.951057i	−0.0138197	−	0.0425325i
$501$	−6.48936	−	19.9722i	−0.289923	−	0.892292i
$502$	−14.5623	−	10.5801i	−0.649948	−	0.472215i
$503$	10.5172	−	7.64121i	0.468940	−	0.340705i	−0.328088	−	0.944647i	$-0.606404\pi$
$503$	10.5172	−	7.64121i	0.468940	−	0.340705i	0.797028	+	0.603942i	$0.206404\pi$
$504$	−16.6869	+	51.3571i	−0.743294	+	2.28762i
$505$	5.00000			0.222497
$506$		0			0
$507$	−9.00000			−0.399704
$508$	3.39919	−	10.4616i	0.150815	−	0.464159i
$509$	−18.6074	+	13.5191i	−0.824758	+	0.599222i	−0.918071	−	0.396415i	$-0.870254\pi$
$509$	−18.6074	+	13.5191i	−0.824758	+	0.599222i	0.0933133	+	0.995637i	$0.470254\pi$
$510$		0			0
$511$	7.41641	+	22.8254i	0.328083	+	1.00973i
$512$	−3.39919	−	10.4616i	−0.150224	−	0.462343i
$513$	−29.1246	−	21.1603i	−1.28588	−	0.934249i
$514$	4.85410	−	3.52671i	0.214105	−	0.155557i
$515$	2.47214	−	7.60845i	0.108935	−	0.335268i
$516$	−15.0000			−0.660338
$517$		0			0
$518$	−24.0000			−1.05450
$519$	22.2492	−	68.4761i	0.976633	−	3.00577i
$520$	−9.70820	+	7.05342i	−0.425733	+	0.309313i
$521$	−12.1353	−	8.81678i	−0.531655	−	0.386270i	0.289321	−	0.957232i	$-0.406570\pi$
$521$	−12.1353	−	8.81678i	−0.531655	−	0.386270i	−0.820977	+	0.570962i	$0.806570\pi$
$522$	−11.1246	−	34.2380i	−0.486911	−	1.49856i
$523$	1.23607	+	3.80423i	0.0540495	+	0.166347i	0.974437	−	0.224659i	$-0.0721270\pi$
$523$	1.23607	+	3.80423i	0.0540495	+	0.166347i	−0.920388	+	0.391007i	$0.872127\pi$
$524$		0			0
$525$	7.28115	−	5.29007i	0.317776	−	0.230877i
$526$	−3.70820	+	11.4127i	−0.161685	+	0.497616i
$527$		0			0
$528$		0			0
$529$	41.0000			1.78261
$530$	1.23607	−	3.80423i	0.0536914	−	0.165245i
$531$	9.70820	−	7.05342i	0.421300	−	0.306092i
$532$	−9.70820	−	7.05342i	−0.420904	−	0.305805i
$533$	−6.18034	−	19.0211i	−0.267700	−	0.823897i
$534$	−0.927051	−	2.85317i	−0.0401174	−	0.123469i
$535$	7.28115	+	5.29007i	0.314792	+	0.228710i
$536$	−31.5517	+	22.9236i	−1.36282	+	0.990150i
$537$	24.1033	−	74.1824i	1.04014	−	3.20121i
$538$	21.0000			0.905374
$539$		0			0
$540$	9.00000			0.387298
$541$	−9.57953	+	29.4828i	−0.411856	+	1.26756i	0.503177	+	0.864183i	$0.332164\pi$
$541$	−9.57953	+	29.4828i	−0.411856	+	1.26756i	−0.915033	+	0.403379i	$0.867836\pi$
$542$		0			0
$543$	−46.1140	−	33.5038i	−1.97894	−	1.43778i
$544$		0			0
$545$	2.78115	+	8.55951i	0.119132	+	0.366649i
$546$	−29.1246	−	21.1603i	−1.24642	−	0.905576i
$547$	29.1246	−	21.1603i	1.24528	−	0.904748i	0.247340	−	0.968929i	$-0.420443\pi$
$547$	29.1246	−	21.1603i	1.24528	−	0.904748i	0.997938	+	0.0641809i	$0.0204435\pi$
$548$		0			0
$549$	66.0000			2.81681
$550$		0			0
$551$	24.0000			1.02243
$552$	−22.2492	+	68.4761i	−0.946990	+	2.91454i
$553$	24.2705	−	17.6336i	1.03209	−	0.749855i
$554$	11.3262	+	8.22899i	0.481206	+	0.349616i
$555$	7.41641	+	22.8254i	0.314809	+	0.968882i
$556$	−5.56231	−	17.1190i	−0.235894	−	0.726008i
$557$	−22.6525	−	16.4580i	−0.959816	−	0.697347i	−0.00670815	−	0.999978i	$-0.502135\pi$
$557$	−22.6525	−	16.4580i	−0.959816	−	0.697347i	−0.953108	+	0.302630i	$0.902135\pi$
$558$	9.70820	−	7.05342i	0.410981	−	0.298595i
$559$	6.18034	−	19.0211i	0.261401	−	0.804508i
$560$	−3.00000			−0.126773
$561$		0			0
$562$	6.00000			0.253095
$563$	−6.48936	+	19.9722i	−0.273494	+	0.841727i	0.716120	+	0.697977i	$0.245916\pi$
$563$	−6.48936	+	19.9722i	−0.273494	+	0.841727i	−0.989614	+	0.143750i	$0.954084\pi$
$564$	7.28115	−	5.29007i	0.306592	−	0.222752i
$565$	−4.85410	−	3.52671i	−0.204214	−	0.148370i
$566$	4.01722	+	12.3637i	0.168856	+	0.519687i
$567$	8.34346	+	25.6785i	0.350392	+	1.07840i
$568$	4.85410	+	3.52671i	0.203674	+	0.147978i
$569$	−8.89919	+	6.46564i	−0.373073	+	0.271054i	−0.758484	−	0.651691i	$-0.774060\pi$
$569$	−8.89919	+	6.46564i	−0.373073	+	0.271054i	0.385411	+	0.922745i	$0.374060\pi$
$570$	3.70820	−	11.4127i	0.155320	−	0.478024i
$571$	18.0000			0.753277			0.376638	−	0.926360i	$-0.377080\pi$
$571$	18.0000			0.753277			0.376638	+	0.926360i	$0.377080\pi$
$572$		0			0
$573$	−24.0000			−1.00261
$574$	4.63525	−	14.2658i	0.193472	−	0.595445i
$575$	6.47214	−	4.70228i	0.269907	−	0.196099i
$576$	−33.9787	−	24.6870i	−1.41578	−	1.02862i
$577$	4.32624	+	13.3148i	0.180104	+	0.554302i	0.999830	−	0.0184538i	$-0.00587434\pi$
$577$	4.32624	+	13.3148i	0.180104	+	0.554302i	−0.819726	+	0.572756i	$0.805874\pi$
$578$	−5.25329	−	16.1680i	−0.218508	−	0.672499i
$579$	24.2705	+	17.6336i	1.00865	+	0.732826i
$580$	−4.85410	+	3.52671i	−0.201556	+	0.146439i
$581$	−3.70820	+	11.4127i	−0.153842	+	0.473478i
$582$	24.0000			0.994832
$583$		0			0
$584$	−24.0000			−0.993127
$585$	−7.41641	+	22.8254i	−0.306631	+	0.943712i
$586$	−27.5066	+	19.9847i	−1.13629	+	0.825560i
$587$	−16.9894	−	12.3435i	−0.701226	−	0.509470i	0.179105	−	0.983830i	$-0.442680\pi$
$587$	−16.9894	−	12.3435i	−0.701226	−	0.509470i	−0.880331	+	0.474360i	$0.842680\pi$
$588$	1.85410	+	5.70634i	0.0764619	+	0.235325i
$589$	2.47214	+	7.60845i	0.101863	+	0.313501i
$590$	1.61803	+	1.17557i	0.0666134	+	0.0483975i
$591$	33.9787	−	24.6870i	1.39770	−	1.01549i
$592$	2.47214	−	7.60845i	0.101604	−	0.312705i
$593$	−44.0000			−1.80686			−0.903432	−	0.428732i	$-0.858960\pi$
$593$	−44.0000			−1.80686			−0.903432	+	0.428732i	$0.858960\pi$
$594$		0			0
$595$		0			0
$596$	−5.25329	+	16.1680i	−0.215183	+	0.662265i
$597$	−14.5623	+	10.5801i	−0.595996	+	0.433016i
$598$	−25.8885	−	18.8091i	−1.05866	−	0.769162i
$599$	7.41641	+	22.8254i	0.303026	+	0.932619i	0.980406	+	0.196986i	$0.0631152\pi$
$599$	7.41641	+	22.8254i	0.303026	+	0.932619i	−0.677380	+	0.735633i	$0.736885\pi$
$600$	2.78115	+	8.55951i	0.113540	+	0.349440i
$601$	−1.61803	−	1.17557i	−0.0660010	−	0.0479525i	0.554296	−	0.832320i	$-0.312988\pi$
$601$	−1.61803	−	1.17557i	−0.0660010	−	0.0479525i	−0.620297	+	0.784367i	$0.712988\pi$
$602$	12.1353	−	8.81678i	0.494596	−	0.359345i
$603$	−24.1033	+	74.1824i	−0.981563	+	3.02094i
$604$	−14.0000			−0.569652
$605$		0			0
$606$	−15.0000			−0.609333
$607$	12.3607	−	38.0423i	0.501705	−	1.54409i	−0.304537	−	0.952501i	$-0.598502\pi$
$607$	12.3607	−	38.0423i	0.501705	−	1.54409i	0.806241	−	0.591587i	$-0.201498\pi$
$608$	16.1803	−	11.7557i	0.656199	−	0.476757i
$609$	−43.6869	−	31.7404i	−1.77028	−	1.28619i
$610$	3.39919	+	10.4616i	0.137629	+	0.423579i
$611$	3.70820	+	11.4127i	0.150018	+	0.461708i
$612$		0			0
$613$	−17.7984	+	12.9313i	−0.718870	+	0.522289i	−0.886023	−	0.463642i	$-0.846543\pi$
$613$	−17.7984	+	12.9313i	−0.718870	+	0.522289i	0.167153	+	0.985931i	$0.446543\pi$
$614$	2.47214	−	7.60845i	0.0997673	−	0.307052i
$615$	−15.0000			−0.604858
$616$		0			0
$617$	26.0000			1.04672			0.523360	−	0.852111i	$-0.324678\pi$
$617$	26.0000			1.04672			0.523360	+	0.852111i	$0.324678\pi$
$618$	−7.41641	+	22.8254i	−0.298332	+	0.918170i
$619$	6.47214	−	4.70228i	0.260137	−	0.189001i	−0.450070	−	0.892993i	$-0.648601\pi$
$619$	6.47214	−	4.70228i	0.260137	−	0.189001i	0.710207	+	0.703992i	$0.248601\pi$
$620$	−1.61803	−	1.17557i	−0.0649818	−	0.0472120i
$621$	22.2492	+	68.4761i	0.892831	+	2.74785i
$622$	7.41641	+	22.8254i	0.297371	+	0.915213i
$623$	−2.42705	−	1.76336i	−0.0972377	−	0.0706474i
$624$	9.70820	−	7.05342i	0.388639	−	0.282363i
$625$	0.309017	−	0.951057i	0.0123607	−	0.0380423i
$626$	8.00000			0.319744
$627$		0			0
$628$	8.00000			0.319235
$629$		0			0
$630$	−14.5623	+	10.5801i	−0.580176	+	0.421523i
$631$	35.5967	+	25.8626i	1.41708	+	1.02957i	0.992244	+	0.124303i	$0.0396696\pi$
$631$	35.5967	+	25.8626i	1.41708	+	1.02957i	0.424840	+	0.905269i	$0.360330\pi$
$632$	9.27051	+	28.5317i	0.368761	+	1.13493i
$633$	−20.3951	−	62.7697i	−0.810633	−	2.49487i
$634$	−14.5623	−	10.5801i	−0.578343	−	0.420191i
$635$	8.89919	−	6.46564i	0.353153	−	0.256581i
$636$	3.70820	−	11.4127i	0.147040	−	0.452542i
$637$	−8.00000			−0.316972
$638$		0			0
$639$	12.0000			0.474713
$640$	−0.927051	+	2.85317i	−0.0366449	+	0.112781i
$641$	11.3262	−	8.22899i	0.447360	−	0.325026i	−0.341193	−	0.939993i	$-0.610831\pi$
$641$	11.3262	−	8.22899i	0.447360	−	0.325026i	0.788552	+	0.614968i	$0.210831\pi$
$642$	−21.8435	−	15.8702i	−0.862093	−	0.626347i
$643$	10.8156	+	33.2870i	0.426525	+	1.31271i	0.901526	+	0.432725i	$0.142448\pi$
$643$	10.8156	+	33.2870i	0.426525	+	1.31271i	−0.475001	+	0.879985i	$0.657552\pi$
$644$	7.41641	+	22.8254i	0.292247	+	0.899445i
$645$	−12.1353	−	8.81678i	−0.477825	−	0.347160i
$646$		0			0
$647$	−7.72542	+	23.7764i	−0.303718	+	0.934747i	0.676435	+	0.736503i	$0.263524\pi$
$647$	−7.72542	+	23.7764i	−0.303718	+	0.934747i	−0.980153	+	0.198245i	$0.936476\pi$
$648$	−27.0000			−1.06066
$649$		0			0
$650$	−4.00000			−0.156893
$651$	5.56231	−	17.1190i	0.218004	−	0.670947i
$652$	−13.7533	+	9.99235i	−0.538620	+	0.391331i
$653$	27.5066	+	19.9847i	1.07642	+	0.782062i	0.977054	−	0.212990i	$-0.0683201\pi$
$653$	27.5066	+	19.9847i	1.07642	+	0.782062i	0.0993611	+	0.995051i	$0.468320\pi$
$654$	−8.34346	−	25.6785i	−0.326255	−	1.00411i
$655$		0			0
$656$	4.04508	+	2.93893i	0.157934	+	0.114746i
$657$	−38.8328	+	28.2137i	−1.51501	+	1.10072i
$658$	−2.78115	+	8.55951i	−0.108421	+	0.333684i
$659$	42.0000			1.63609			0.818044	−	0.575156i	$-0.195059\pi$
$659$	42.0000			1.63609			0.818044	+	0.575156i	$0.195059\pi$
$660$		0			0
$661$	−37.0000			−1.43913			−0.719567	−	0.694423i	$-0.755660\pi$
$661$	−37.0000			−1.43913			−0.719567	+	0.694423i	$0.755660\pi$
$662$	−6.18034	+	19.0211i	−0.240206	+	0.739277i
$663$		0			0
$664$	−9.70820	−	7.05342i	−0.376751	−	0.273726i
$665$	−3.70820	−	11.4127i	−0.143798	−	0.442565i
$666$	−14.8328	−	45.6507i	−0.574760	−	1.76893i
$667$	−38.8328	−	28.2137i	−1.50361	−	1.09244i
$668$	5.66312	−	4.11450i	0.219113	−	0.159195i
$669$	−4.63525	+	14.2658i	−0.179209	+	0.551550i
$670$	−13.0000			−0.502234
$671$		0			0
$672$	−45.0000			−1.73591
$673$	3.09017	−	9.51057i	0.119117	−	0.366605i	−0.873666	−	0.486526i	$-0.838264\pi$
$673$	3.09017	−	9.51057i	0.119117	−	0.366605i	0.992784	+	0.119920i	$0.0382640\pi$
$674$	−9.70820	+	7.05342i	−0.373946	+	0.271688i
$675$	7.28115	+	5.29007i	0.280252	+	0.203615i
$676$	−0.927051	−	2.85317i	−0.0356558	−	0.109737i
$677$	8.65248	+	26.6296i	0.332542	+	1.02346i	0.967920	+	0.251257i	$0.0808440\pi$
$677$	8.65248	+	26.6296i	0.332542	+	1.02346i	−0.635379	+	0.772201i	$0.719156\pi$
$678$	14.5623	+	10.5801i	0.559262	+	0.406328i
$679$	19.4164	−	14.1068i	0.745133	−	0.541371i
$680$		0			0
$681$	−3.00000			−0.114960
$682$		0			0
$683$	47.0000			1.79841			0.899203	−	0.437533i	$-0.144148\pi$
$683$	47.0000			1.79841			0.899203	+	0.437533i	$0.144148\pi$
$684$	7.41641	−	22.8254i	0.283573	−	0.872749i
$685$		0			0
$686$	12.1353	+	8.81678i	0.463326	+	0.336626i
$687$	0.927051	+	2.85317i	0.0353692	+	0.108855i
$688$	1.54508	+	4.75528i	0.0589058	+	0.181293i
$689$	12.9443	+	9.40456i	0.493137	+	0.358285i
$690$	−19.4164	+	14.1068i	−0.739170	+	0.537038i
$691$	−12.3607	+	38.0423i	−0.470222	+	1.44720i	0.382072	+	0.924133i	$0.375211\pi$
$691$	−12.3607	+	38.0423i	−0.470222	+	1.44720i	−0.852294	+	0.523063i	$0.824789\pi$
$692$	24.0000			0.912343
$693$		0			0
$694$	−7.00000			−0.265716
$695$	5.56231	−	17.1190i	0.210990	−	0.649361i
$696$	43.6869	−	31.7404i	1.65595	−	1.20312i
$697$		0			0
$698$	−6.79837	−	20.9232i	−0.257322	−	0.791956i
$699$	−22.2492	−	68.4761i	−0.841543	−	2.59000i
$700$	2.42705	+	1.76336i	0.0917339	+	0.0666486i
$701$	30.7426	−	22.3358i	1.16113	−	0.843613i	0.171213	−	0.985234i	$-0.445231\pi$
$701$	30.7426	−	22.3358i	1.16113	−	0.843613i	0.989921	+	0.141621i	$0.0452314\pi$
$702$	11.1246	−	34.2380i	0.419871	−	1.29223i
$703$	32.0000			1.20690
$704$		0			0
$705$	9.00000			0.338960
$706$	1.85410	−	5.70634i	0.0697800	−	0.214761i
$707$	−12.1353	+	8.81678i	−0.456393	+	0.331589i
$708$	4.85410	+	3.52671i	0.182428	+	0.132542i
$709$	−7.72542	−	23.7764i	−0.290134	−	0.892942i	−0.984813	−	0.173621i	$-0.944453\pi$
$709$	−7.72542	−	23.7764i	−0.290134	−	0.892942i	0.694678	−	0.719321i	$-0.255547\pi$
$710$	0.618034	+	1.90211i	0.0231944	+	0.0713850i
$711$	48.5410	+	35.2671i	1.82043	+	1.32262i
$712$	2.42705	−	1.76336i	0.0909576	−	0.0660846i
$713$	4.94427	−	15.2169i	0.185164	−	0.569878i
$714$		0			0
$715$		0			0
$716$	26.0000			0.971666
$717$	3.70820	−	11.4127i	0.138485	−	0.426214i
$718$	−22.6525	+	16.4580i	−0.845383	+	0.614207i
$719$		0			0		0.587785	−	0.809017i	$-0.300000\pi$
$719$		0			0		−0.587785	+	0.809017i	$0.700000\pi$
$720$	−1.85410	−	5.70634i	−0.0690983	−	0.212663i
$721$	7.41641	+	22.8254i	0.276201	+	0.850061i
$722$	2.42705	+	1.76336i	0.0903255	+	0.0656253i
$723$	−55.8222	+	40.5572i	−2.07605	+	1.50834i
$724$	5.87132	−	18.0701i	0.218206	−	0.671569i
$725$	−6.00000			−0.222834
$726$		0			0
$727$	−17.0000			−0.630495			−0.315248	−	0.949009i	$-0.602088\pi$
$727$	−17.0000			−0.630495			−0.315248	+	0.949009i	$0.602088\pi$
$728$	11.1246	−	34.2380i	0.412306	−	1.26895i
$729$	21.8435	−	15.8702i	0.809017	−	0.587785i
$730$	−6.47214	−	4.70228i	−0.239544	−	0.174039i
$731$		0			0
$732$	10.1976	+	31.3849i	0.376913	+	1.16002i
$733$	29.1246	+	21.1603i	1.07574	+	0.781572i	0.976936	−	0.213534i	$-0.0684975\pi$
$733$	29.1246	+	21.1603i	1.07574	+	0.781572i	0.0988065	+	0.995107i	$0.468498\pi$
$734$	−0.809017	+	0.587785i	−0.0298614	+	0.0216955i
$735$	−1.85410	+	5.70634i	−0.0683896	+	0.210481i
$736$	−40.0000			−1.47442
$737$		0			0
$738$	30.0000			1.10432
$739$	3.09017	−	9.51057i	0.113674	−	0.349852i	−0.877994	−	0.478671i	$-0.841119\pi$
$739$	3.09017	−	9.51057i	0.113674	−	0.349852i	0.991668	+	0.128819i	$0.0411187\pi$
$740$	−6.47214	+	4.70228i	−0.237920	+	0.172859i
$741$	38.8328	+	28.2137i	1.42656	+	1.03646i
$742$	3.70820	+	11.4127i	0.136132	+	0.418973i
$743$	2.16312	+	6.65740i	0.0793571	+	0.244236i	0.982862	−	0.184341i	$-0.0590150\pi$
$743$	2.16312	+	6.65740i	0.0793571	+	0.244236i	−0.903505	+	0.428577i	$0.859015\pi$
$744$	14.5623	+	10.5801i	0.533880	+	0.387887i
$745$	−13.7533	+	9.99235i	−0.503882	+	0.366091i
$746$	−5.56231	+	17.1190i	−0.203650	+	0.626772i
$747$	−24.0000			−0.878114
$748$		0			0
$749$	−27.0000			−0.986559
$750$	−0.927051	+	2.85317i	−0.0338511	+	0.104183i
$751$	−8.09017	+	5.87785i	−0.295214	+	0.214486i	−0.725526	−	0.688194i	$-0.758404\pi$
$751$	−8.09017	+	5.87785i	−0.295214	+	0.214486i	0.430312	+	0.902680i	$0.358404\pi$
$752$	−2.42705	−	1.76336i	−0.0885054	−	0.0643030i
$753$	−16.6869	−	51.3571i	−0.608105	−	1.87156i
$754$	7.41641	+	22.8254i	0.270090	+	0.831250i
$755$	−11.3262	−	8.22899i	−0.412204	−	0.299484i
$756$	−21.8435	+	15.8702i	−0.794439	+	0.577194i
$757$	−3.70820	+	11.4127i	−0.134777	+	0.414801i	−0.995555	−	0.0941792i	$-0.969977\pi$
$757$	−3.70820	+	11.4127i	−0.134777	+	0.414801i	0.860778	+	0.508980i	$0.169977\pi$
$758$	−22.0000			−0.799076
$759$		0			0
$760$	12.0000			0.435286
$761$	−8.03444	+	24.7275i	−0.291248	+	0.896370i	0.693208	+	0.720738i	$0.256197\pi$
$761$	−8.03444	+	24.7275i	−0.291248	+	0.896370i	−0.984456	+	0.175632i	$0.943803\pi$
$762$	−26.6976	+	19.3969i	−0.967151	+	0.702676i
$763$	−21.8435	−	15.8702i	−0.790786	−	0.574540i
$764$	−2.47214	−	7.60845i	−0.0894387	−	0.275264i
$765$		0			0
$766$		0			0
$767$	−6.47214	+	4.70228i	−0.233695	+	0.169790i
$768$	15.7599	−	48.5039i	0.568685	−	1.75023i
$769$	26.0000			0.937584			0.468792	−	0.883309i	$-0.344689\pi$
$769$	26.0000			0.937584			0.468792	+	0.883309i	$0.344689\pi$
$770$		0			0
$771$	18.0000			0.648254
$772$	−3.09017	+	9.51057i	−0.111218	+	0.342293i
$773$	17.7984	−	12.9313i	0.640163	−	0.465106i	−0.219743	−	0.975558i	$-0.570522\pi$
$773$	17.7984	−	12.9313i	0.640163	−	0.465106i	0.859906	+	0.510452i	$0.170522\pi$
$774$	24.2705	+	17.6336i	0.872385	+	0.633825i
$775$	−0.618034	−	1.90211i	−0.0222004	−	0.0683259i
$776$	7.41641	+	22.8254i	0.266234	+	0.819383i
$777$	−58.2492	−	42.3205i	−2.08968	−	1.51824i
$778$	2.42705	−	1.76336i	0.0870140	−	0.0632194i
$779$	−6.18034	+	19.0211i	−0.221434	+	0.681503i
$780$	−12.0000			−0.429669
$781$		0			0
$782$		0			0
$783$	16.6869	−	51.3571i	0.596342	−	1.83535i
$784$	1.61803	−	1.17557i	0.0577869	−	0.0419847i
$785$	6.47214	+	4.70228i	0.231000	+	0.167832i
$786$		0			0
$787$	13.2877	+	40.8954i	0.473656	+	1.45776i	0.847761	+	0.530378i	$0.177950\pi$
$787$	13.2877	+	40.8954i	0.473656	+	1.45776i	−0.374105	+	0.927386i	$0.622050\pi$
$788$	11.3262	+	8.22899i	0.403481	+	0.293146i
$789$	−29.1246	+	21.1603i	−1.03686	+	0.753326i
$790$	−3.09017	+	9.51057i	−0.109943	+	0.338371i
$791$	18.0000			0.640006
$792$		0			0
$793$	−44.0000			−1.56249
$794$	−3.70820	+	11.4127i	−0.131599	+	0.405021i
$795$	9.70820	−	7.05342i	0.344315	−	0.250159i
$796$	−4.85410	−	3.52671i	−0.172049	−	0.125001i
$797$	−15.4508	−	47.5528i	−0.547297	−	1.68441i	−0.715465	−	0.698649i	$-0.753785\pi$
$797$	−15.4508	−	47.5528i	−0.547297	−	1.68441i	0.168167	−	0.985758i	$-0.446215\pi$
$798$	11.1246	+	34.2380i	0.393807	+	1.21201i
$799$		0			0
$800$	−4.04508	+	2.93893i	−0.143015	+	0.103907i
$801$	1.85410	−	5.70634i	0.0655115	−	0.201624i
$802$	−37.0000			−1.30652
$803$		0			0
$804$	−39.0000			−1.37542
$805$	−7.41641	+	22.8254i	−0.261394	+	0.804488i
$806$	−6.47214	+	4.70228i	−0.227971	+	0.165631i
$807$	50.9681	+	37.0305i	1.79416	+	1.30353i
$808$	−4.63525	−	14.2658i	−0.163068	−	0.501871i
$809$	−16.6869	−	51.3571i	−0.586681	−	1.80562i	−0.592413	−	0.805634i	$-0.701825\pi$
$809$	−16.6869	−	51.3571i	−0.586681	−	1.80562i	0.00573251	−	0.999984i	$-0.498175\pi$
$810$	−7.28115	−	5.29007i	−0.255834	−	0.185874i
$811$	33.9787	−	24.6870i	1.19315	−	0.866877i	0.199560	−	0.979886i	$-0.436049\pi$
$811$	33.9787	−	24.6870i	1.19315	−	0.866877i	0.993594	+	0.113008i	$0.0360487\pi$
$812$	5.56231	−	17.1190i	0.195199	−	0.600760i
$813$		0			0
$814$		0			0
$815$	−17.0000			−0.595484
$816$		0			0
$817$	−16.1803	+	11.7557i	−0.566078	+	0.411280i
$818$	16.9894	+	12.3435i	0.594019	+	0.431580i
$819$	−22.2492	−	68.4761i	−0.777451	−	2.39275i
$820$	−1.54508	−	4.75528i	−0.0539567	−	0.166062i
$821$	−2.42705	−	1.76336i	−0.0847047	−	0.0615415i	0.544627	−	0.838678i	$-0.316671\pi$
$821$	−2.42705	−	1.76336i	−0.0847047	−	0.0615415i	−0.629332	+	0.777137i	$0.716671\pi$
$822$		0			0
$823$	15.7599	−	48.5039i	0.549354	−	1.69074i	−0.161051	−	0.986946i	$-0.551488\pi$
$823$	15.7599	−	48.5039i	0.549354	−	1.69074i	0.710405	−	0.703793i	$-0.248512\pi$
$824$	−24.0000			−0.836080
$825$		0			0
$826$	−6.00000			−0.208767
$827$	−13.9058	+	42.7975i	−0.483551	+	1.48822i	0.350518	+	0.936556i	$0.386006\pi$
$827$	−13.9058	+	42.7975i	−0.483551	+	1.48822i	−0.834069	+	0.551660i	$0.813994\pi$
$828$	−38.8328	+	28.2137i	−1.34953	+	0.980494i
$829$	−10.5172	−	7.64121i	−0.365278	−	0.265390i	0.389972	−	0.920827i	$-0.372485\pi$
$829$	−10.5172	−	7.64121i	−0.365278	−	0.265390i	−0.755250	+	0.655437i	$0.772485\pi$
$830$	−1.23607	−	3.80423i	−0.0429045	−	0.132047i
$831$	12.9787	+	39.9444i	0.450227	+	1.38565i
$832$	22.6525	+	16.4580i	0.785333	+	0.570578i
$833$		0			0
$834$	−16.6869	+	51.3571i	−0.577821	+	1.77835i
$835$	7.00000			0.242245
$836$		0			0
$837$	18.0000			0.622171
$838$	9.88854	−	30.4338i	0.341594	−	1.05132i
$839$	11.3262	−	8.22899i	0.391025	−	0.284096i	−0.374850	−	0.927085i	$-0.622306\pi$
$839$	11.3262	−	8.22899i	0.391025	−	0.284096i	0.765875	+	0.642989i	$0.222306\pi$
$840$	−21.8435	−	15.8702i	−0.753671	−	0.547574i
$841$	2.16312	+	6.65740i	0.0745903	+	0.229565i
$842$	0.927051	+	2.85317i	0.0319483	+	0.0983267i
$843$	14.5623	+	10.5801i	0.501552	+	0.364399i
$844$	17.7984	−	12.9313i	0.612645	−	0.445113i
$845$	0.927051	−	2.85317i	0.0318915	−	0.0981520i
$846$	−18.0000			−0.618853
$847$		0			0
$848$	−4.00000			−0.137361
$849$	−12.0517	+	37.0912i	−0.413612	+	1.27297i
$850$		0			0
$851$	−51.7771	−	37.6183i	−1.77490	−	1.28954i
$852$	1.85410	+	5.70634i	0.0635205	+	0.195496i
$853$	9.88854	+	30.4338i	0.338577	+	1.04203i	0.964933	+	0.262496i	$0.0845458\pi$
$853$	9.88854	+	30.4338i	0.338577	+	1.04203i	−0.626356	+	0.779537i	$0.715454\pi$
$854$	−26.6976	−	19.3969i	−0.913572	−	0.663749i
$855$	19.4164	−	14.1068i	0.664027	−	0.482444i
$856$	8.34346	−	25.6785i	0.285174	−	0.877674i
$857$	18.0000			0.614868			0.307434	−	0.951569i	$-0.400530\pi$
$857$	18.0000			0.614868			0.307434	+	0.951569i	$0.400530\pi$
$858$		0			0
$859$	4.00000			0.136478			0.0682391	−	0.997669i	$-0.478262\pi$
$859$	4.00000			0.136478			0.0682391	+	0.997669i	$0.478262\pi$
$860$	1.54508	−	4.75528i	0.0526870	−	0.162154i
$861$	36.4058	−	26.4503i	1.24071	−	0.901425i
$862$	14.5623	+	10.5801i	0.495994	+	0.360361i
$863$	9.57953	+	29.4828i	0.326091	+	1.00360i	0.970946	+	0.239300i	$0.0769178\pi$
$863$	9.57953	+	29.4828i	0.326091	+	1.00360i	−0.644855	+	0.764305i	$0.723082\pi$
$864$	−13.9058	−	42.7975i	−0.473084	−	1.45600i
$865$	19.4164	+	14.1068i	0.660178	+	0.479647i
$866$	−11.3262	+	8.22899i	−0.384881	+	0.279633i
$867$	15.7599	−	48.5039i	0.535233	−	1.64728i
$868$	6.00000			0.203653
$869$		0			0
$870$	18.0000			0.610257
$871$	16.0689	−	49.4549i	0.544473	−	1.67572i
$872$	21.8435	−	15.8702i	0.739713	−	0.537433i
$873$	38.8328	+	28.2137i	1.31429	+	0.954889i
$874$	9.88854	+	30.4338i	0.334485	+	1.02944i
$875$	0.927051	+	2.85317i	0.0313400	+	0.0964547i
$876$	−19.4164	−	14.1068i	−0.656020	−	0.476626i
$877$	17.7984	−	12.9313i	0.601008	−	0.436658i	−0.245228	−	0.969465i	$-0.578863\pi$
$877$	17.7984	−	12.9313i	0.601008	−	0.436658i	0.846237	+	0.532807i	$0.178863\pi$
$878$	−2.47214	+	7.60845i	−0.0834305	+	0.256773i
$879$	−102.000			−3.44037
$880$		0			0
$881$	−15.0000			−0.505363			−0.252681	−	0.967550i	$-0.581312\pi$
$881$	−15.0000			−0.505363			−0.252681	+	0.967550i	$0.581312\pi$
$882$	3.70820	−	11.4127i	0.124862	−	0.384285i
$883$	−16.1803	+	11.7557i	−0.544512	+	0.395611i	−0.825758	−	0.564025i	$-0.809252\pi$
$883$	−16.1803	+	11.7557i	−0.544512	+	0.395611i	0.281246	+	0.959636i	$0.409252\pi$
$884$		0			0
$885$	1.85410	+	5.70634i	0.0623250	+	0.191816i
$886$	−7.72542	−	23.7764i	−0.259541	−	0.798784i
$887$	0.809017	+	0.587785i	0.0271641	+	0.0197359i	0.601284	−	0.799035i	$-0.294656\pi$
$887$	0.809017	+	0.587785i	0.0271641	+	0.0197359i	−0.574120	+	0.818771i	$0.694656\pi$
$888$	58.2492	−	42.3205i	1.95472	−	1.42018i
$889$	−10.1976	+	31.3849i	−0.342015	+	1.05261i
$890$	1.00000			0.0335201
$891$		0			0
$892$	−5.00000			−0.167412
$893$	3.70820	−	11.4127i	0.124090	−	0.381911i
$894$	41.2599	−	29.9770i	1.37994	−	1.00258i
$895$	21.0344	+	15.2824i	0.703104	+	0.510835i
$896$	−2.78115	−	8.55951i	−0.0929118	−	0.285953i
$897$	−29.6656	−	91.3014i	−0.990507	−	3.04847i
$898$	10.5172	+	7.64121i	0.350964	+	0.254990i
$899$	−9.70820	+	7.05342i	−0.323787	+	0.235245i
$900$	−1.85410	+	5.70634i	−0.0618034	+	0.190211i
$901$		0			0
$902$		0			0
$903$	45.0000			1.49751
$904$	−5.56231	+	17.1190i	−0.185000	+	0.569370i
$905$	15.3713	−	11.1679i	0.510960	−	0.371234i
$906$	33.9787	+	24.6870i	1.12887	+	0.820170i
$907$	−13.2877	−	40.8954i	−0.441212	−	1.35791i	−0.886585	−	0.462565i	$-0.846929\pi$
$907$	−13.2877	−	40.8954i	−0.441212	−	1.35791i	0.445373	−	0.895345i	$-0.353071\pi$
$908$	−0.309017	−	0.951057i	−0.0102551	−	0.0315619i
$909$	−24.2705	−	17.6336i	−0.805002	−	0.584868i
$910$	9.70820	−	7.05342i	0.321824	−	0.233819i
$911$	−10.5066	+	32.3359i	−0.348098	+	1.07134i	0.611806	+	0.791008i	$0.290443\pi$
$911$	−10.5066	+	32.3359i	−0.348098	+	1.07134i	−0.959904	+	0.280329i	$0.909557\pi$
$912$	−12.0000			−0.397360
$913$		0			0
$914$	−26.0000			−0.860004
$915$	−10.1976	+	31.3849i	−0.337121	+	1.03755i
$916$	−0.809017	+	0.587785i	−0.0267307	+	0.0194210i
$917$		0			0
$918$		0			0
$919$	−3.70820	−	11.4127i	−0.122322	−	0.376470i	0.871081	−	0.491139i	$-0.163419\pi$
$919$	−3.70820	−	11.4127i	−0.122322	−	0.376470i	−0.993404	+	0.114669i	$0.963419\pi$
$920$	−19.4164	−	14.1068i	−0.640140	−	0.465089i
$921$	19.4164	−	14.1068i	0.639792	−	0.464836i
$922$	−2.16312	+	6.65740i	−0.0712385	+	0.219250i
$923$	−8.00000			−0.263323
$924$		0			0
$925$	−8.00000			−0.263038
$926$	−4.63525	+	14.2658i	−0.152324	+	0.468805i
$927$	−38.8328	+	28.2137i	−1.27544	+	0.926659i
$928$	24.2705	+	17.6336i	0.796719	+	0.578850i
$929$	−8.03444	−	24.7275i	−0.263601	−	0.811282i	−0.992012	−	0.126141i	$-0.959741\pi$
$929$	−8.03444	−	24.7275i	−0.263601	−	0.811282i	0.728411	−	0.685141i	$-0.240259\pi$
$930$	1.85410	+	5.70634i	0.0607984	+	0.187118i
$931$	6.47214	+	4.70228i	0.212116	+	0.154111i
$932$	19.4164	−	14.1068i	0.636006	−	0.462085i
$933$	−22.2492	+	68.4761i	−0.728407	+	2.24181i
$934$	27.0000			0.883467
$935$		0			0
$936$	72.0000			2.35339
$937$	5.56231	−	17.1190i	0.181713	−	0.559254i	−0.818164	−	0.574985i	$-0.805008\pi$
$937$	5.56231	−	17.1190i	0.181713	−	0.559254i	0.999876	+	0.0157315i	$0.00500771\pi$
$938$	31.5517	−	22.9236i	1.03020	−	0.748483i
$939$	19.4164	+	14.1068i	0.633631	+	0.460360i
$940$	0.927051	+	2.85317i	0.0302371	+	0.0930601i
$941$	4.01722	+	12.3637i	0.130958	+	0.403046i	0.994939	−	0.100477i	$-0.0320369\pi$
$941$	4.01722	+	12.3637i	0.130958	+	0.403046i	−0.863982	+	0.503523i	$0.832037\pi$
$942$	−19.4164	−	14.1068i	−0.632621	−	0.459626i
$943$	32.3607	−	23.5114i	1.05381	−	0.765637i
$944$	0.618034	−	1.90211i	0.0201153	−	0.0619085i
$945$	−27.0000			−0.878310
$946$		0			0
$947$	−12.0000			−0.389948			−0.194974	−	0.980808i	$-0.562462\pi$
$947$	−12.0000			−0.389948			−0.194974	+	0.980808i	$0.562462\pi$
$948$	−9.27051	+	28.5317i	−0.301092	+	0.926666i
$949$	25.8885	−	18.8091i	0.840378	−	0.610570i
$950$	3.23607	+	2.35114i	0.104992	+	0.0762811i
$951$	−16.6869	−	51.3571i	−0.541110	−	1.66537i
$952$		0			0
$953$	−29.1246	−	21.1603i	−0.943439	−	0.685448i	0.00580723	−	0.999983i	$-0.498151\pi$
$953$	−29.1246	−	21.1603i	−0.943439	−	0.685448i	−0.949246	+	0.314535i	$0.898151\pi$
$954$	−19.4164	+	14.1068i	−0.628629	+	0.456726i
$955$	2.47214	−	7.60845i	0.0799964	−	0.246204i
$956$	4.00000			0.129369
$957$		0			0
$958$	−6.00000			−0.193851
$959$		0			0
$960$	16.9894	−	12.3435i	0.548329	−	0.398384i
$961$	21.8435	+	15.8702i	0.704628	+	0.511942i
$962$	9.88854	+	30.4338i	0.318819	+	0.981225i
$963$	−16.6869	−	51.3571i	−0.537728	−	1.65496i
$964$	−18.6074	−	13.5191i	−0.599304	−	0.435420i
$965$	−8.09017	+	5.87785i	−0.260432	+	0.189215i
$966$	22.2492	−	68.4761i	0.715857	−	2.20318i
$967$	32.0000			1.02905			0.514525	−	0.857475i	$-0.327968\pi$
$967$	32.0000			1.02905			0.514525	+	0.857475i	$0.327968\pi$
$968$		0			0
$969$		0			0
$970$	−2.47214	+	7.60845i	−0.0793755	+	0.244293i
$971$	−9.70820	+	7.05342i	−0.311551	+	0.226355i	−0.732562	−	0.680701i	$-0.761675\pi$
$971$	−9.70820	+	7.05342i	−0.311551	+	0.226355i	0.421011	+	0.907056i	$0.361675\pi$
$972$		0			0
$973$	16.6869	+	51.3571i	0.534958	+	1.64643i
$974$	−2.47214	−	7.60845i	−0.0792123	−	0.243791i
$975$	−9.70820	−	7.05342i	−0.310911	−	0.225890i
$976$	8.89919	−	6.46564i	0.284856	−	0.206960i
$977$	8.65248	−	26.6296i	0.276817	−	0.851956i	−0.711916	−	0.702265i	$-0.752172\pi$
$977$	8.65248	−	26.6296i	0.276817	−	0.851956i	0.988733	−	0.149691i	$-0.0478278\pi$
$978$	51.0000			1.63080
$979$		0			0
$980$	−2.00000			−0.0638877
$981$	16.6869	−	51.3571i	0.532772	−	1.63970i
$982$	17.7984	−	12.9313i	0.567969	−	0.412654i
$983$	49.3500	+	35.8549i	1.57402	+	1.14359i	0.923172	+	0.384387i	$0.125587\pi$
$983$	49.3500	+	35.8549i	1.57402	+	1.14359i	0.650850	+	0.759207i	$0.274413\pi$
$984$	13.9058	+	42.7975i	0.443300	+	1.36434i
$985$	4.32624	+	13.3148i	0.137845	+	0.424245i
$986$		0			0
$987$	−21.8435	+	15.8702i	−0.695285	+	0.505154i
$988$	−4.94427	+	15.2169i	−0.157298	+	0.484114i
$989$	40.0000			1.27193
$990$		0			0
$991$	20.0000			0.635321			0.317660	−	0.948205i	$-0.397103\pi$
$991$	20.0000			0.635321			0.317660	+	0.948205i	$0.397103\pi$
$992$	−3.09017	+	9.51057i	−0.0981130	+	0.301961i
$993$	−48.5410	+	35.2671i	−1.54040	+	1.11917i
$994$	−4.85410	−	3.52671i	−0.153963	−	0.111860i
$995$	−1.85410	−	5.70634i	−0.0587790	−	0.180903i
$996$	−3.70820	−	11.4127i	−0.117499	−	0.361625i
$997$	42.0689	+	30.5648i	1.33233	+	0.967998i	0.999689	+	0.0249463i	$0.00794146\pi$
$997$	42.0689	+	30.5648i	1.33233	+	0.967998i	0.332646	+	0.943052i	$0.392059\pi$
$998$	33.9787	−	24.6870i	1.07558	−	0.781453i
$999$	22.2492	−	68.4761i	0.703934	−	2.16649i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.g.b.251.1		4
11.2	odd	10		605.2.g.d.366.1		4
11.3	even	5	inner	605.2.g.b.81.1		4
11.4	even	5		605.2.a.c.1.1	yes	1
11.5	even	5	inner	605.2.g.b.511.1		4
11.6	odd	10		605.2.g.d.511.1		4
11.7	odd	10		605.2.a.a.1.1	✓	1
11.8	odd	10		605.2.g.d.81.1		4
11.9	even	5	inner	605.2.g.b.366.1		4
11.10	odd	2		605.2.g.d.251.1		4
33.26	odd	10		5445.2.a.d.1.1		1
33.29	even	10		5445.2.a.h.1.1		1
44.7	even	10		9680.2.a.bf.1.1		1
44.15	odd	10		9680.2.a.be.1.1		1
55.4	even	10		3025.2.a.c.1.1		1
55.29	odd	10		3025.2.a.g.1.1		1

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.a.a.1.1	✓	1	11.7	odd	10
605.2.a.c.1.1	yes	1	11.4	even	5
605.2.g.b.81.1		4	11.3	even	5	inner
605.2.g.b.251.1		4	1.1	even	1	trivial
605.2.g.b.366.1		4	11.9	even	5	inner
605.2.g.b.511.1		4	11.5	even	5	inner
605.2.g.d.81.1		4	11.8	odd	10
605.2.g.d.251.1		4	11.10	odd	2
605.2.g.d.366.1		4	11.2	odd	10
605.2.g.d.511.1		4	11.6	odd	10
3025.2.a.c.1.1		1	55.4	even	10
3025.2.a.g.1.1		1	55.29	odd	10
5445.2.a.d.1.1		1	33.26	odd	10
5445.2.a.h.1.1		1	33.29	even	10
9680.2.a.be.1.1		1	44.15	odd	10
9680.2.a.bf.1.1		1	44.7	even	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.g (of order \(5\), degree \(4\), not minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 - 0.951057i) q^{2} +(2.42705 - 1.76336i) q^{3} +(0.809017 + 0.587785i) q^{4} +(0.309017 + 0.951057i) q^{5} +(-0.927051 - 2.85317i) q^{6} +(-2.42705 - 1.76336i) q^{7} +(2.42705 - 1.76336i) q^{8} +(1.85410 - 5.70634i) q^{9} +O(q^{10})\)	\(q+(0.309017 - 0.951057i) q^{2} +(2.42705 - 1.76336i) q^{3} +(0.809017 + 0.587785i) q^{4} +(0.309017 + 0.951057i) q^{5} +(-0.927051 - 2.85317i) q^{6} +(-2.42705 - 1.76336i) q^{7} +(2.42705 - 1.76336i) q^{8} +(1.85410 - 5.70634i) q^{9} +1.00000 q^{10} +3.00000 q^{12} +(-1.23607 + 3.80423i) q^{13} +(-2.42705 + 1.76336i) q^{14} +(2.42705 + 1.76336i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(-4.85410 - 3.52671i) q^{18} +(3.23607 - 2.35114i) q^{19} +(-0.309017 + 0.951057i) q^{20} -9.00000 q^{21} -8.00000 q^{23} +(2.78115 - 8.55951i) q^{24} +(-0.809017 + 0.587785i) q^{25} +(3.23607 + 2.35114i) q^{26} +(-2.78115 - 8.55951i) q^{27} +(-0.927051 - 2.85317i) q^{28} +(4.85410 + 3.52671i) q^{29} +(2.42705 - 1.76336i) q^{30} +(-0.618034 + 1.90211i) q^{31} +5.00000 q^{32} +(0.927051 - 2.85317i) q^{35} +(4.85410 - 3.52671i) q^{36} +(6.47214 + 4.70228i) q^{37} +(-1.23607 - 3.80423i) q^{38} +(3.70820 + 11.4127i) q^{39} +(2.42705 + 1.76336i) q^{40} +(-4.04508 + 2.93893i) q^{41} +(-2.78115 + 8.55951i) q^{42} -5.00000 q^{43} +6.00000 q^{45} +(-2.47214 + 7.60845i) q^{46} +(2.42705 - 1.76336i) q^{47} +(-2.42705 - 1.76336i) q^{48} +(0.618034 + 1.90211i) q^{49} +(0.309017 + 0.951057i) q^{50} +(-3.23607 + 2.35114i) q^{52} +(1.23607 - 3.80423i) q^{53} -9.00000 q^{54} -9.00000 q^{56} +(3.70820 - 11.4127i) q^{57} +(4.85410 - 3.52671i) q^{58} +(1.61803 + 1.17557i) q^{59} +(0.927051 + 2.85317i) q^{60} +(3.39919 + 10.4616i) q^{61} +(1.61803 + 1.17557i) q^{62} +(-14.5623 + 10.5801i) q^{63} +(2.16312 - 6.65740i) q^{64} -4.00000 q^{65} -13.0000 q^{67} +(-19.4164 + 14.1068i) q^{69} +(-2.42705 - 1.76336i) q^{70} +(0.618034 + 1.90211i) q^{71} +(-5.56231 - 17.1190i) q^{72} +(-6.47214 - 4.70228i) q^{73} +(6.47214 - 4.70228i) q^{74} +(-0.927051 + 2.85317i) q^{75} +4.00000 q^{76} +12.0000 q^{78} +(-3.09017 + 9.51057i) q^{79} +(0.809017 - 0.587785i) q^{80} +(-7.28115 - 5.29007i) q^{81} +(1.54508 + 4.75528i) q^{82} +(-1.23607 - 3.80423i) q^{83} +(-7.28115 - 5.29007i) q^{84} +(-1.54508 + 4.75528i) q^{86} +18.0000 q^{87} +1.00000 q^{89} +(1.85410 - 5.70634i) q^{90} +(9.70820 - 7.05342i) q^{91} +(-6.47214 - 4.70228i) q^{92} +(1.85410 + 5.70634i) q^{93} +(-0.927051 - 2.85317i) q^{94} +(3.23607 + 2.35114i) q^{95} +(12.1353 - 8.81678i) q^{96} +(-2.47214 + 7.60845i) q^{97} +2.00000 q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q - q^{2} + 3 q^{3} + q^{4} - q^{5} + 3 q^{6} - 3 q^{7} + 3 q^{8} - 6 q^{9}+O(q^{10}) \) 4 * q - q^2 + 3 * q^3 + q^4 - q^5 + 3 * q^6 - 3 * q^7 + 3 * q^8 - 6 * q^9	\( 4 q - q^{2} + 3 q^{3} + q^{4} - q^{5} + 3 q^{6} - 3 q^{7} + 3 q^{8} - 6 q^{9} + 4 q^{10} + 12 q^{12} + 4 q^{13} - 3 q^{14} + 3 q^{15} + q^{16} - 6 q^{18} + 4 q^{19} + q^{20} - 36 q^{21} - 32 q^{23} - 9 q^{24} - q^{25} + 4 q^{26} + 9 q^{27} + 3 q^{28} + 6 q^{29} + 3 q^{30} + 2 q^{31} + 20 q^{32} - 3 q^{35} + 6 q^{36} + 8 q^{37} + 4 q^{38} - 12 q^{39} + 3 q^{40} - 5 q^{41} + 9 q^{42} - 20 q^{43} + 24 q^{45} + 8 q^{46} + 3 q^{47} - 3 q^{48} - 2 q^{49} - q^{50} - 4 q^{52} - 4 q^{53} - 36 q^{54} - 36 q^{56} - 12 q^{57} + 6 q^{58} + 2 q^{59} - 3 q^{60} - 11 q^{61} + 2 q^{62} - 18 q^{63} - 7 q^{64} - 16 q^{65} - 52 q^{67} - 24 q^{69} - 3 q^{70} - 2 q^{71} + 18 q^{72} - 8 q^{73} + 8 q^{74} + 3 q^{75} + 16 q^{76} + 48 q^{78} + 10 q^{79} + q^{80} - 9 q^{81} - 5 q^{82} + 4 q^{83} - 9 q^{84} + 5 q^{86} + 72 q^{87} + 4 q^{89} - 6 q^{90} + 12 q^{91} - 8 q^{92} - 6 q^{93} + 3 q^{94} + 4 q^{95} + 15 q^{96} + 8 q^{97} + 8 q^{98}+O(q^{100}) \) 4 * q - q^2 + 3 * q^3 + q^4 - q^5 + 3 * q^6 - 3 * q^7 + 3 * q^8 - 6 * q^9 + 4 * q^10 + 12 * q^12 + 4 * q^13 - 3 * q^14 + 3 * q^15 + q^16 - 6 * q^18 + 4 * q^19 + q^20 - 36 * q^21 - 32 * q^23 - 9 * q^24 - q^25 + 4 * q^26 + 9 * q^27 + 3 * q^28 + 6 * q^29 + 3 * q^30 + 2 * q^31 + 20 * q^32 - 3 * q^35 + 6 * q^36 + 8 * q^37 + 4 * q^38 - 12 * q^39 + 3 * q^40 - 5 * q^41 + 9 * q^42 - 20 * q^43 + 24 * q^45 + 8 * q^46 + 3 * q^47 - 3 * q^48 - 2 * q^49 - q^50 - 4 * q^52 - 4 * q^53 - 36 * q^54 - 36 * q^56 - 12 * q^57 + 6 * q^58 + 2 * q^59 - 3 * q^60 - 11 * q^61 + 2 * q^62 - 18 * q^63 - 7 * q^64 - 16 * q^65 - 52 * q^67 - 24 * q^69 - 3 * q^70 - 2 * q^71 + 18 * q^72 - 8 * q^73 + 8 * q^74 + 3 * q^75 + 16 * q^76 + 48 * q^78 + 10 * q^79 + q^80 - 9 * q^81 - 5 * q^82 + 4 * q^83 - 9 * q^84 + 5 * q^86 + 72 * q^87 + 4 * q^89 - 6 * q^90 + 12 * q^91 - 8 * q^92 - 6 * q^93 + 3 * q^94 + 4 * q^95 + 15 * q^96 + 8 * q^97 + 8 * q^98

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