LMFDB - Embedded newform 33.2.e.b.16.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [33,2,Mod(4,33)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(33, 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("33.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 33 = 3 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	33.e (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.263506326670$
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:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			16.1
Root			$-0.309017 - 0.951057i$ of defining polynomial
Character	$\chi$	$=$	33.16
Dual form			33.2.e.b.31.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 2.48990i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-3.92705 + 2.85317i) q^{4} +(-0.190983 + 0.587785i) q^{5} +(0.809017 - 2.48990i) q^{6} +(0.809017 - 0.587785i) q^{7} +(6.04508 + 4.39201i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 2.48990i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-3.92705 + 2.85317i) q^{4} +(-0.190983 + 0.587785i) q^{5} +(0.809017 - 2.48990i) q^{6} +(0.809017 - 0.587785i) q^{7} +(6.04508 + 4.39201i) q^{8} +(0.309017 + 0.951057i) q^{9} +1.61803 q^{10} +(-3.30902 + 0.224514i) q^{11} -4.85410 q^{12} +(0.0729490 + 0.224514i) q^{13} +(-2.11803 - 1.53884i) q^{14} +(-0.500000 + 0.363271i) q^{15} +(3.04508 - 9.37181i) q^{16} +(-0.354102 + 1.08981i) q^{17} +(2.11803 - 1.53884i) q^{18} +(-4.73607 - 3.44095i) q^{19} +(-0.927051 - 2.85317i) q^{20} +1.00000 q^{21} +(3.23607 + 8.05748i) q^{22} +0.236068 q^{23} +(2.30902 + 7.10642i) q^{24} +(3.73607 + 2.71441i) q^{25} +(0.500000 - 0.363271i) q^{26} +(-0.309017 + 0.951057i) q^{27} +(-1.50000 + 4.61653i) q^{28} +(4.85410 - 3.52671i) q^{29} +(1.30902 + 0.951057i) q^{30} +(-1.88197 - 5.79210i) q^{31} -10.8541 q^{32} +(-2.80902 - 1.76336i) q^{33} +3.00000 q^{34} +(0.190983 + 0.587785i) q^{35} +(-3.92705 - 2.85317i) q^{36} +(5.04508 - 3.66547i) q^{37} +(-4.73607 + 14.5761i) q^{38} +(-0.0729490 + 0.224514i) q^{39} +(-3.73607 + 2.71441i) q^{40} +(-0.190983 - 0.138757i) q^{41} +(-0.809017 - 2.48990i) q^{42} -6.70820 q^{43} +(12.3541 - 10.3229i) q^{44} -0.618034 q^{45} +(-0.190983 - 0.587785i) q^{46} +(8.16312 + 5.93085i) q^{47} +(7.97214 - 5.79210i) q^{48} +(-1.85410 + 5.70634i) q^{49} +(3.73607 - 11.4984i) q^{50} +(-0.927051 + 0.673542i) q^{51} +(-0.927051 - 0.673542i) q^{52} +(-0.118034 - 0.363271i) q^{53} +2.61803 q^{54} +(0.500000 - 1.98787i) q^{55} +7.47214 q^{56} +(-1.80902 - 5.56758i) q^{57} +(-12.7082 - 9.23305i) q^{58} +(-5.97214 + 4.33901i) q^{59} +(0.927051 - 2.85317i) q^{60} +(-3.57295 + 10.9964i) q^{61} +(-12.8992 + 9.37181i) q^{62} +(0.809017 + 0.587785i) q^{63} +(2.69098 + 8.28199i) q^{64} -0.145898 q^{65} +(-2.11803 + 8.42075i) q^{66} +1.85410 q^{67} +(-1.71885 - 5.29007i) q^{68} +(0.190983 + 0.138757i) q^{69} +(1.30902 - 0.951057i) q^{70} +(3.19098 - 9.82084i) q^{71} +(-2.30902 + 7.10642i) q^{72} +(4.61803 - 3.35520i) q^{73} +(-13.2082 - 9.59632i) q^{74} +(1.42705 + 4.39201i) q^{75} +28.4164 q^{76} +(-2.54508 + 2.12663i) q^{77} +0.618034 q^{78} +(3.39919 + 10.4616i) q^{79} +(4.92705 + 3.57971i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-0.190983 + 0.587785i) q^{82} +(0.454915 - 1.40008i) q^{83} +(-3.92705 + 2.85317i) q^{84} +(-0.572949 - 0.416272i) q^{85} +(5.42705 + 16.7027i) q^{86} +6.00000 q^{87} +(-20.9894 - 13.1760i) q^{88} -8.23607 q^{89} +(0.500000 + 1.53884i) q^{90} +(0.190983 + 0.138757i) q^{91} +(-0.927051 + 0.673542i) q^{92} +(1.88197 - 5.79210i) q^{93} +(8.16312 - 25.1235i) q^{94} +(2.92705 - 2.12663i) q^{95} +(-8.78115 - 6.37988i) q^{96} +(2.42705 + 7.46969i) q^{97} +15.7082 q^{98} +(-1.23607 - 3.07768i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q - q^{2} + q^{3} - 9 q^{4} - 3 q^{5} + q^{6} + q^{7} + 13 q^{8} - q^{9}+O(q^{10}) $ 4 * q - q^2 + q^3 - 9 * q^4 - 3 * q^5 + q^6 + q^7 + 13 * q^8 - q^9	\( 4 q - q^{2} + q^{3} - 9 q^{4} - 3 q^{5} + q^{6} + q^{7} + 13 q^{8} - q^{9} + 2 q^{10} - 11 q^{11} - 6 q^{12} + 7 q^{13} - 4 q^{14} - 2 q^{15} + q^{16} + 12 q^{17} + 4 q^{18} - 10 q^{19} + 3 q^{20} + 4 q^{21} + 4 q^{22} - 8 q^{23} + 7 q^{24} + 6 q^{25} + 2 q^{26} + q^{27} - 6 q^{28} + 6 q^{29} + 3 q^{30} - 12 q^{31} - 30 q^{32} - 9 q^{33} + 12 q^{34} + 3 q^{35} - 9 q^{36} + 9 q^{37} - 10 q^{38} - 7 q^{39} - 6 q^{40} - 3 q^{41} - q^{42} + 36 q^{44} + 2 q^{45} - 3 q^{46} + 17 q^{47} + 14 q^{48} + 6 q^{49} + 6 q^{50} + 3 q^{51} + 3 q^{52} + 4 q^{53} + 6 q^{54} + 2 q^{55} + 12 q^{56} - 5 q^{57} - 24 q^{58} - 6 q^{59} - 3 q^{60} - 21 q^{61} - 27 q^{62} + q^{63} + 13 q^{64} - 14 q^{65} - 4 q^{66} - 6 q^{67} - 27 q^{68} + 3 q^{69} + 3 q^{70} + 15 q^{71} - 7 q^{72} + 14 q^{73} - 26 q^{74} - q^{75} + 60 q^{76} + q^{77} - 2 q^{78} - 11 q^{79} + 13 q^{80} - q^{81} - 3 q^{82} + 13 q^{83} - 9 q^{84} - 9 q^{85} + 15 q^{86} + 24 q^{87} - 37 q^{88} - 24 q^{89} + 2 q^{90} + 3 q^{91} + 3 q^{92} + 12 q^{93} + 17 q^{94} + 5 q^{95} - 15 q^{96} + 3 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) \) 4 * q - q^2 + q^3 - 9 * q^4 - 3 * q^5 + q^6 + q^7 + 13 * q^8 - q^9 + 2 * q^10 - 11 * q^11 - 6 * q^12 + 7 * q^13 - 4 * q^14 - 2 * q^15 + q^16 + 12 * q^17 + 4 * q^18 - 10 * q^19 + 3 * q^20 + 4 * q^21 + 4 * q^22 - 8 * q^23 + 7 * q^24 + 6 * q^25 + 2 * q^26 + q^27 - 6 * q^28 + 6 * q^29 + 3 * q^30 - 12 * q^31 - 30 * q^32 - 9 * q^33 + 12 * q^34 + 3 * q^35 - 9 * q^36 + 9 * q^37 - 10 * q^38 - 7 * q^39 - 6 * q^40 - 3 * q^41 - q^42 + 36 * q^44 + 2 * q^45 - 3 * q^46 + 17 * q^47 + 14 * q^48 + 6 * q^49 + 6 * q^50 + 3 * q^51 + 3 * q^52 + 4 * q^53 + 6 * q^54 + 2 * q^55 + 12 * q^56 - 5 * q^57 - 24 * q^58 - 6 * q^59 - 3 * q^60 - 21 * q^61 - 27 * q^62 + q^63 + 13 * q^64 - 14 * q^65 - 4 * q^66 - 6 * q^67 - 27 * q^68 + 3 * q^69 + 3 * q^70 + 15 * q^71 - 7 * q^72 + 14 * q^73 - 26 * q^74 - q^75 + 60 * q^76 + q^77 - 2 * q^78 - 11 * q^79 + 13 * q^80 - q^81 - 3 * q^82 + 13 * q^83 - 9 * q^84 - 9 * q^85 + 15 * q^86 + 24 * q^87 - 37 * q^88 - 24 * q^89 + 2 * q^90 + 3 * q^91 + 3 * q^92 + 12 * q^93 + 17 * q^94 + 5 * q^95 - 15 * q^96 + 3 * q^97 + 36 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/33\mathbb{Z}\right)^\times$.

$n$	$13$	$23$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.809017	−	2.48990i	−0.572061	−	1.76062i	−0.645974	−	0.763359i	$-0.723549\pi$
$2$	−0.809017	−	2.48990i	−0.572061	−	1.76062i	0.0739128	−	0.997265i	$-0.476451\pi$
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$4$	−3.92705	+	2.85317i	−1.96353	+	1.42658i
$5$	−0.190983	+	0.587785i	−0.0854102	+	0.262866i	−0.984636	−	0.174619i	$-0.944131\pi$
$5$	−0.190983	+	0.587785i	−0.0854102	+	0.262866i	0.899226	+	0.437485i	$0.144131\pi$
$6$	0.809017	−	2.48990i	0.330280	−	1.01650i
$7$	0.809017	−	0.587785i	0.305780	−	0.222162i	−0.424304	−	0.905520i	$-0.639481\pi$
$7$	0.809017	−	0.587785i	0.305780	−	0.222162i	0.730084	+	0.683358i	$0.239481\pi$
$8$	6.04508	+	4.39201i	2.13726	+	1.55281i
$9$	0.309017	+	0.951057i	0.103006	+	0.317019i
$10$	1.61803			0.511667
$11$	−3.30902	+	0.224514i	−0.997706	+	0.0676935i
$11$	−3.30902	+	0.224514i	−0.997706	+	0.0676935i
$12$	−4.85410			−1.40126
$13$	0.0729490	+	0.224514i	0.0202324	+	0.0622690i	0.960663	−	0.277717i	$-0.0895777\pi$
$13$	0.0729490	+	0.224514i	0.0202324	+	0.0622690i	−0.940431	+	0.339986i	$0.889578\pi$
$14$	−2.11803	−	1.53884i	−0.566068	−	0.411273i
$15$	−0.500000	+	0.363271i	−0.129099	+	0.0937962i
$16$	3.04508	−	9.37181i	0.761271	−	2.34295i
$17$	−0.354102	+	1.08981i	−0.0858823	+	0.264319i	−0.984770	−	0.173860i	$-0.944376\pi$
$17$	−0.354102	+	1.08981i	−0.0858823	+	0.264319i	0.898888	+	0.438178i	$0.144376\pi$
$18$	2.11803	−	1.53884i	0.499225	−	0.362708i
$19$	−4.73607	−	3.44095i	−1.08653	−	0.789409i	−0.107719	−	0.994181i	$-0.534355\pi$
$19$	−4.73607	−	3.44095i	−1.08653	−	0.789409i	−0.978810	+	0.204772i	$0.934355\pi$
$20$	−0.927051	−	2.85317i	−0.207295	−	0.637988i
$21$	1.00000			0.218218
$22$	3.23607	+	8.05748i	0.689932	+	1.71786i
$23$	0.236068			0.0492236			0.0246118	−	0.999697i	$-0.492165\pi$
$23$	0.236068			0.0492236			0.0246118	+	0.999697i	$0.492165\pi$
$24$	2.30902	+	7.10642i	0.471326	+	1.45059i
$25$	3.73607	+	2.71441i	0.747214	+	0.542882i
$26$	0.500000	−	0.363271i	0.0980581	−	0.0712434i
$27$	−0.309017	+	0.951057i	−0.0594703	+	0.183031i
$28$	−1.50000	+	4.61653i	−0.283473	+	0.872441i
$29$	4.85410	−	3.52671i	0.901384	−	0.654894i	−0.0374370	−	0.999299i	$-0.511919\pi$
$29$	4.85410	−	3.52671i	0.901384	−	0.654894i	0.938821	+	0.344405i	$0.111919\pi$
$30$	1.30902	+	0.951057i	0.238993	+	0.173638i
$31$	−1.88197	−	5.79210i	−0.338011	−	1.04029i	−0.965220	−	0.261440i	$-0.915803\pi$
$31$	−1.88197	−	5.79210i	−0.338011	−	1.04029i	0.627209	−	0.778851i	$-0.284197\pi$
$32$	−10.8541			−1.91875
$33$	−2.80902	−	1.76336i	−0.488987	−	0.306961i
$34$	3.00000			0.514496
$35$	0.190983	+	0.587785i	0.0322820	+	0.0993538i
$36$	−3.92705	−	2.85317i	−0.654508	−	0.475528i
$37$	5.04508	−	3.66547i	0.829407	−	0.602599i	−0.0899846	−	0.995943i	$-0.528682\pi$
$37$	5.04508	−	3.66547i	0.829407	−	0.602599i	0.919391	+	0.393344i	$0.128682\pi$
$38$	−4.73607	+	14.5761i	−0.768292	+	2.36456i
$39$	−0.0729490	+	0.224514i	−0.0116812	+	0.0359510i
$40$	−3.73607	+	2.71441i	−0.590724	+	0.429186i
$41$	−0.190983	−	0.138757i	−0.0298265	−	0.0216702i	0.572772	−	0.819715i	$-0.305868\pi$
$41$	−0.190983	−	0.138757i	−0.0298265	−	0.0216702i	−0.602599	+	0.798044i	$0.705868\pi$
$42$	−0.809017	−	2.48990i	−0.124834	−	0.384200i
$43$	−6.70820			−1.02299			−0.511496	−	0.859286i	$-0.670908\pi$
$43$	−6.70820			−1.02299			−0.511496	+	0.859286i	$0.670908\pi$
$44$	12.3541	−	10.3229i	1.86245	−	1.55623i
$45$	−0.618034			−0.0921311
$46$	−0.190983	−	0.587785i	−0.0281589	−	0.0866642i
$47$	8.16312	+	5.93085i	1.19071	+	0.865104i	0.993339	−	0.115224i	$-0.0367587\pi$
$47$	8.16312	+	5.93085i	1.19071	+	0.865104i	0.197374	+	0.980328i	$0.436759\pi$
$48$	7.97214	−	5.79210i	1.15068	−	0.836017i
$49$	−1.85410	+	5.70634i	−0.264872	+	0.815191i
$50$	3.73607	−	11.4984i	0.528360	−	1.62612i
$51$	−0.927051	+	0.673542i	−0.129813	+	0.0943147i
$52$	−0.927051	−	0.673542i	−0.128559	−	0.0934035i
$53$	−0.118034	−	0.363271i	−0.0162132	−	0.0498991i	0.942623	−	0.333860i	$-0.108351\pi$
$53$	−0.118034	−	0.363271i	−0.0162132	−	0.0498991i	−0.958836	+	0.283961i	$0.908351\pi$
$54$	2.61803			0.356269
$55$	0.500000	−	1.98787i	0.0674200	−	0.268044i
$56$	7.47214			0.998506
$57$	−1.80902	−	5.56758i	−0.239610	−	0.737444i
$58$	−12.7082	−	9.23305i	−1.66867	−	1.21236i
$59$	−5.97214	+	4.33901i	−0.777506	+	0.564891i	−0.904229	−	0.427047i	$-0.859554\pi$
$59$	−5.97214	+	4.33901i	−0.777506	+	0.564891i	0.126724	+	0.991938i	$0.459554\pi$
$60$	0.927051	−	2.85317i	0.119682	−	0.368343i
$61$	−3.57295	+	10.9964i	−0.457469	+	1.40795i	0.410742	+	0.911751i	$0.365270\pi$
$61$	−3.57295	+	10.9964i	−0.457469	+	1.40795i	−0.868212	+	0.496194i	$0.834730\pi$
$62$	−12.8992	+	9.37181i	−1.63820	+	1.19022i
$63$	0.809017	+	0.587785i	0.101927	+	0.0740540i
$64$	2.69098	+	8.28199i	0.336373	+	1.03525i
$65$	−0.145898			−0.0180964
$66$	−2.11803	+	8.42075i	−0.260712	+	1.03652i
$67$	1.85410			0.226515			0.113257	−	0.993566i	$-0.463872\pi$
$67$	1.85410			0.226515			0.113257	+	0.993566i	$0.463872\pi$
$68$	−1.71885	−	5.29007i	−0.208441	−	0.641515i
$69$	0.190983	+	0.138757i	0.0229917	+	0.0167044i
$70$	1.30902	−	0.951057i	0.156457	−	0.113673i
$71$	3.19098	−	9.82084i	0.378700	−	1.16552i	−0.562248	−	0.826968i	$-0.690063\pi$
$71$	3.19098	−	9.82084i	0.378700	−	1.16552i	0.940948	−	0.338550i	$-0.109937\pi$
$72$	−2.30902	+	7.10642i	−0.272120	+	0.837500i
$73$	4.61803	−	3.35520i	0.540500	−	0.392696i	−0.283771	−	0.958892i	$-0.591585\pi$
$73$	4.61803	−	3.35520i	0.540500	−	0.392696i	0.824271	+	0.566196i	$0.191585\pi$
$74$	−13.2082	−	9.59632i	−1.53542	−	1.11555i
$75$	1.42705	+	4.39201i	0.164782	+	0.507146i
$76$	28.4164			3.25959
$77$	−2.54508	+	2.12663i	−0.290039	+	0.242352i
$78$	0.618034			0.0699786
$79$	3.39919	+	10.4616i	0.382438	+	1.17702i	0.938322	+	0.345764i	$0.112380\pi$
$79$	3.39919	+	10.4616i	0.382438	+	1.17702i	−0.555883	+	0.831260i	$0.687620\pi$
$80$	4.92705	+	3.57971i	0.550861	+	0.400224i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$	−0.190983	+	0.587785i	−0.0210905	+	0.0649100i
$83$	0.454915	−	1.40008i	0.0499334	−	0.153679i	−0.922981	−	0.384846i	$-0.874254\pi$
$83$	0.454915	−	1.40008i	0.0499334	−	0.153679i	0.972914	+	0.231167i	$0.0742544\pi$
$84$	−3.92705	+	2.85317i	−0.428476	+	0.311306i
$85$	−0.572949	−	0.416272i	−0.0621450	−	0.0451510i
$86$	5.42705	+	16.7027i	0.585214	+	1.80110i
$87$	6.00000			0.643268
$88$	−20.9894	−	13.1760i	−2.23747	−	1.40457i
$89$	−8.23607			−0.873021			−0.436511	−	0.899699i	$-0.643786\pi$
$89$	−8.23607			−0.873021			−0.436511	+	0.899699i	$0.643786\pi$
$90$	0.500000	+	1.53884i	0.0527046	+	0.162208i
$91$	0.190983	+	0.138757i	0.0200205	+	0.0145457i
$92$	−0.927051	+	0.673542i	−0.0966517	+	0.0702216i
$93$	1.88197	−	5.79210i	0.195151	−	0.600612i
$94$	8.16312	−	25.1235i	0.841961	−	2.59129i
$95$	2.92705	−	2.12663i	0.300309	−	0.218187i
$96$	−8.78115	−	6.37988i	−0.896223	−	0.651144i
$97$	2.42705	+	7.46969i	0.246430	+	0.758433i	0.995398	+	0.0958268i	$0.0305495\pi$
$97$	2.42705	+	7.46969i	0.246430	+	0.758433i	−0.748968	+	0.662606i	$0.769451\pi$
$98$	15.7082			1.58677
$99$	−1.23607	−	3.07768i	−0.124230	−	0.309319i
$100$	−22.4164			−2.24164
$101$	−3.16312	−	9.73508i	−0.314742	−	0.968677i	−0.975860	−	0.218395i	$-0.929918\pi$
$101$	−3.16312	−	9.73508i	−0.314742	−	0.968677i	0.661118	−	0.750282i	$-0.270082\pi$
$102$	2.42705	+	1.76336i	0.240314	+	0.174598i
$103$	8.85410	−	6.43288i	0.872421	−	0.633851i	−0.0588148	−	0.998269i	$-0.518732\pi$
$103$	8.85410	−	6.43288i	0.872421	−	0.633851i	0.931235	+	0.364418i	$0.118732\pi$
$104$	−0.545085	+	1.67760i	−0.0534500	+	0.164502i
$105$	−0.190983	+	0.587785i	−0.0186380	+	0.0573620i
$106$	−0.809017	+	0.587785i	−0.0785787	+	0.0570908i
$107$	9.28115	+	6.74315i	0.897243	+	0.651885i	0.937756	−	0.347294i	$-0.112899\pi$
$107$	9.28115	+	6.74315i	0.897243	+	0.651885i	−0.0405134	+	0.999179i	$0.512899\pi$
$108$	−1.50000	−	4.61653i	−0.144338	−	0.444225i
$109$	−12.0000			−1.14939			−0.574696	−	0.818367i	$-0.694880\pi$
$109$	−12.0000			−1.14939			−0.574696	+	0.818367i	$0.694880\pi$
$110$	−5.35410	+	0.363271i	−0.510494	+	0.0346366i
$111$	6.23607			0.591901
$112$	−3.04508	−	9.37181i	−0.287733	−	0.885553i
$113$	−10.8992	−	7.91872i	−1.02531	−	0.744931i	−0.0579448	−	0.998320i	$-0.518455\pi$
$113$	−10.8992	−	7.91872i	−1.02531	−	0.744931i	−0.967364	+	0.253389i	$0.918455\pi$
$114$	−12.3992	+	9.00854i	−1.16129	+	0.843727i
$115$	−0.0450850	+	0.138757i	−0.00420420	+	0.0129392i
$116$	−9.00000	+	27.6992i	−0.835629	+	2.57180i
$117$	−0.190983	+	0.138757i	−0.0176564	+	0.0128281i
$118$	15.6353	+	11.3597i	1.43934	+	1.04574i
$119$	0.354102	+	1.08981i	0.0324605	+	0.0999031i
$120$	−4.61803			−0.421567
$121$	10.8992	−	1.48584i	0.990835	−	0.135076i
$122$	30.2705			2.74056
$123$	−0.0729490	−	0.224514i	−0.00657759	−	0.0202437i
$124$	23.9164	+	17.3763i	2.14776	+	1.56044i
$125$	−4.80902	+	3.49396i	−0.430132	+	0.312509i
$126$	0.809017	−	2.48990i	0.0720730	−	0.221818i
$127$	2.38197	−	7.33094i	0.211365	−	0.650516i	−0.788026	−	0.615641i	$-0.788897\pi$
$127$	2.38197	−	7.33094i	0.211365	−	0.650516i	0.999392	−	0.0348741i	$-0.0111030\pi$
$128$	0.881966	−	0.640786i	0.0779555	−	0.0566380i
$129$	−5.42705	−	3.94298i	−0.477825	−	0.347160i
$130$	0.118034	+	0.363271i	0.0103523	+	0.0318610i
$131$	−11.7984			−1.03083			−0.515414	−	0.856941i	$-0.672362\pi$
$131$	−11.7984			−1.03083			−0.515414	+	0.856941i	$0.672362\pi$
$132$	16.0623	−	1.08981i	1.39804	−	0.0948561i
$133$	−5.85410			−0.507615
$134$	−1.50000	−	4.61653i	−0.129580	−	0.398807i
$135$	−0.500000	−	0.363271i	−0.0430331	−	0.0312654i
$136$	−6.92705	+	5.03280i	−0.593990	+	0.431559i
$137$	3.01722	−	9.28605i	0.257779	−	0.793361i	−0.735491	−	0.677535i	$-0.763048\pi$
$137$	3.01722	−	9.28605i	0.257779	−	0.793361i	0.993269	−	0.115826i	$-0.0369516\pi$
$138$	0.190983	−	0.587785i	0.0162576	−	0.0500356i
$139$	−11.7812	+	8.55951i	−0.999264	+	0.726008i	−0.961930	−	0.273295i	$-0.911887\pi$
$139$	−11.7812	+	8.55951i	−0.999264	+	0.726008i	−0.0373340	+	0.999303i	$0.511887\pi$
$140$	−2.42705	−	1.76336i	−0.205123	−	0.149031i
$141$	3.11803	+	9.59632i	0.262586	+	0.808156i
$142$	−27.0344			−2.26868
$143$	−0.291796	−	0.726543i	−0.0244012	−	0.0607565i
$144$	9.85410			0.821175
$145$	1.14590	+	3.52671i	0.0951617	+	0.292877i
$146$	−12.0902	−	8.78402i	−1.00059	−	0.726971i
$147$	−4.85410	+	3.52671i	−0.400360	+	0.290878i
$148$	−9.35410	+	28.7890i	−0.768902	+	2.36644i
$149$	−1.30902	+	4.02874i	−0.107239	+	0.330047i	−0.990249	−	0.139306i	$-0.955513\pi$
$149$	−1.30902	+	4.02874i	−0.107239	+	0.330047i	0.883011	+	0.469353i	$0.155513\pi$
$150$	9.78115	−	7.10642i	0.798628	−	0.580237i
$151$	−0.854102	−	0.620541i	−0.0695058	−	0.0504989i	0.552490	−	0.833520i	$-0.313678\pi$
$151$	−0.854102	−	0.620541i	−0.0695058	−	0.0504989i	−0.621996	+	0.783021i	$0.713678\pi$
$152$	−13.5172	−	41.6017i	−1.09639	−	3.37435i
$153$	−1.14590			−0.0926404
$154$	7.35410	+	4.61653i	0.592610	+	0.372010i
$155$	3.76393			0.302326
$156$	−0.354102	−	1.08981i	−0.0283508	−	0.0872549i
$157$	−12.7082	−	9.23305i	−1.01423	−	0.736878i	−0.0491340	−	0.998792i	$-0.515646\pi$
$157$	−12.7082	−	9.23305i	−1.01423	−	0.736878i	−0.965091	+	0.261915i	$0.915646\pi$
$158$	23.2984	−	16.9273i	1.85352	−	1.34666i
$159$	0.118034	−	0.363271i	0.00936070	−	0.0288093i
$160$	2.07295	−	6.37988i	0.163881	−	0.504374i
$161$	0.190983	−	0.138757i	0.0150516	−	0.0109356i
$162$	2.11803	+	1.53884i	0.166408	+	0.120903i
$163$	−1.59017	−	4.89404i	−0.124552	−	0.383331i	0.869267	−	0.494342i	$-0.164591\pi$
$163$	−1.59017	−	4.89404i	−0.124552	−	0.383331i	−0.993819	+	0.111011i	$0.964591\pi$
$164$	1.14590			0.0894796
$165$	1.57295	−	1.31433i	0.122454	−	0.102320i
$166$	−3.85410			−0.299136
$167$	3.71885	+	11.4454i	0.287773	+	0.885674i	0.985554	+	0.169363i	$0.0541710\pi$
$167$	3.71885	+	11.4454i	0.287773	+	0.885674i	−0.697781	+	0.716311i	$0.745829\pi$
$168$	6.04508	+	4.39201i	0.466388	+	0.338851i
$169$	10.4721	−	7.60845i	0.805549	−	0.585266i
$170$	−0.572949	+	1.76336i	−0.0439432	+	0.135243i
$171$	1.80902	−	5.56758i	0.138339	−	0.425764i
$172$	26.3435	−	19.1396i	2.00867	−	1.45938i
$173$	14.5902	+	10.6004i	1.10927	+	0.805932i	0.982549	−	0.186006i	$-0.0595545\pi$
$173$	14.5902	+	10.6004i	1.10927	+	0.805932i	0.126722	+	0.991938i	$0.459555\pi$
$174$	−4.85410	−	14.9394i	−0.367989	−	1.13255i
$175$	4.61803			0.349091
$176$	−7.97214	+	31.6951i	−0.600922	+	2.38911i
$177$	−7.38197			−0.554863
$178$	6.66312	+	20.5070i	0.499422	+	1.53706i
$179$	6.89919	+	5.01255i	0.515669	+	0.374656i	0.814970	−	0.579503i	$-0.196753\pi$
$179$	6.89919	+	5.01255i	0.515669	+	0.374656i	−0.299301	+	0.954159i	$0.596753\pi$
$180$	2.42705	−	1.76336i	0.180902	−	0.131433i
$181$	0.781153	−	2.40414i	0.0580626	−	0.178698i	−0.917819	−	0.396999i	$-0.870051\pi$
$181$	0.781153	−	2.40414i	0.0580626	−	0.178698i	0.975881	+	0.218301i	$0.0700515\pi$
$182$	0.190983	−	0.587785i	0.0141566	−	0.0435695i
$183$	−9.35410	+	6.79615i	−0.691475	+	0.502386i
$184$	1.42705	+	1.03681i	0.105204	+	0.0764349i
$185$	1.19098	+	3.66547i	0.0875628	+	0.269491i
$186$	−15.9443			−1.16909
$187$	0.927051	−	3.68571i	0.0677927	−	0.269526i
$188$	−48.9787			−3.57214
$189$	0.309017	+	0.951057i	0.0224777	+	0.0691792i
$190$	−7.66312	−	5.56758i	−0.555941	−	0.403915i
$191$	0.663119	−	0.481784i	0.0479816	−	0.0348607i	−0.563536	−	0.826092i	$-0.690559\pi$
$191$	0.663119	−	0.481784i	0.0479816	−	0.0348607i	0.611518	+	0.791231i	$0.290559\pi$
$192$	−2.69098	+	8.28199i	−0.194205	+	0.597701i
$193$	−0.972136	+	2.99193i	−0.0699759	+	0.215364i	−0.979929	−	0.199348i	$-0.936118\pi$
$193$	−0.972136	+	2.99193i	−0.0699759	+	0.215364i	0.909953	+	0.414712i	$0.136118\pi$
$194$	16.6353	−	12.0862i	1.19434	−	0.867740i
$195$	−0.118034	−	0.0857567i	−0.00845259	−	0.00614117i
$196$	−9.00000	−	27.6992i	−0.642857	−	1.97851i
$197$	13.0344			0.928666			0.464333	−	0.885661i	$-0.346294\pi$
$197$	13.0344			0.928666			0.464333	+	0.885661i	$0.346294\pi$
$198$	−6.66312	+	5.56758i	−0.473527	+	0.395671i
$199$	6.70820			0.475532			0.237766	−	0.971322i	$-0.423585\pi$
$199$	6.70820			0.475532			0.237766	+	0.971322i	$0.423585\pi$
$200$	10.6631	+	32.8177i	0.753996	+	2.32056i
$201$	1.50000	+	1.08981i	0.105802	+	0.0768695i
$202$	−21.6803	+	15.7517i	−1.52542	+	1.10828i
$203$	1.85410	−	5.70634i	0.130132	−	0.400506i
$204$	1.71885	−	5.29007i	0.120343	−	0.370379i
$205$	0.118034	−	0.0857567i	0.00824385	−	0.00598951i
$206$	−23.1803	−	16.8415i	−1.61505	−	1.17340i
$207$	0.0729490	+	0.224514i	0.00507031	+	0.0156048i
$208$	2.32624			0.161296
$209$	16.4443	+	10.3229i	1.13747	+	0.714047i
$210$	1.61803			0.111655
$211$	1.11803	+	3.44095i	0.0769686	+	0.236885i	0.982137	−	0.188169i	$-0.0602552\pi$
$211$	1.11803	+	3.44095i	0.0769686	+	0.236885i	−0.905168	+	0.425054i	$0.860255\pi$
$212$	1.50000	+	1.08981i	0.103020	+	0.0748487i
$213$	8.35410	−	6.06961i	0.572414	−	0.415883i
$214$	9.28115	−	28.5645i	0.634447	−	1.95263i
$215$	1.28115	−	3.94298i	0.0873739	−	0.268909i
$216$	−6.04508	+	4.39201i	−0.411316	+	0.298839i
$217$	−4.92705	−	3.57971i	−0.334470	−	0.243007i
$218$	9.70820	+	29.8788i	0.657523	+	2.02365i
$219$	5.70820			0.385725
$220$	3.70820	+	9.23305i	0.250007	+	0.622492i
$221$	−0.270510			−0.0181965
$222$	−5.04508	−	15.5272i	−0.338604	−	1.04212i
$223$	−5.80902	−	4.22050i	−0.389001	−	0.282625i	0.376045	−	0.926601i	$-0.377284\pi$
$223$	−5.80902	−	4.22050i	−0.389001	−	0.282625i	−0.765046	+	0.643976i	$0.777284\pi$
$224$	−8.78115	+	6.37988i	−0.586715	+	0.426274i
$225$	−1.42705	+	4.39201i	−0.0951367	+	0.292801i
$226$	−10.8992	+	33.5442i	−0.725003	+	2.23133i
$227$	−10.6631	+	7.74721i	−0.707736	+	0.514200i	−0.882443	−	0.470420i	$-0.844102\pi$
$227$	−10.6631	+	7.74721i	−0.707736	+	0.514200i	0.174706	+	0.984621i	$0.444102\pi$
$228$	22.9894	+	16.7027i	1.52251	+	1.10617i
$229$	0.145898	+	0.449028i	0.00964121	+	0.0296726i	0.955761	−	0.294143i	$-0.0950342\pi$
$229$	0.145898	+	0.449028i	0.00964121	+	0.0296726i	−0.946120	+	0.323816i	$0.895034\pi$
$230$	0.381966			0.0251861
$231$	−3.30902	+	0.224514i	−0.217717	+	0.0147719i
$232$	44.8328			2.94342
$233$	−1.28115	−	3.94298i	−0.0839311	−	0.258313i	0.900280	−	0.435311i	$-0.143362\pi$
$233$	−1.28115	−	3.94298i	−0.0839311	−	0.258313i	−0.984211	+	0.176997i	$0.943362\pi$
$234$	0.500000	+	0.363271i	0.0326860	+	0.0237478i
$235$	−5.04508	+	3.66547i	−0.329105	+	0.239109i
$236$	11.0729	−	34.0790i	0.720788	−	2.21836i
$237$	−3.39919	+	10.4616i	−0.220801	+	0.679555i
$238$	2.42705	−	1.76336i	0.157322	−	0.114301i
$239$	−0.309017	−	0.224514i	−0.0199886	−	0.0145226i	0.577746	−	0.816217i	$-0.303932\pi$
$239$	−0.309017	−	0.224514i	−0.0199886	−	0.0145226i	−0.597735	+	0.801694i	$0.703932\pi$
$240$	1.88197	+	5.79210i	0.121480	+	0.373878i
$241$	8.29180			0.534122			0.267061	−	0.963680i	$-0.413948\pi$
$241$	8.29180			0.534122			0.267061	+	0.963680i	$0.413948\pi$
$242$	−12.5172	−	25.9358i	−0.804637	−	1.66722i
$243$	−1.00000			−0.0641500
$244$	−17.3435	−	53.3777i	−1.11030	−	3.41716i
$245$	−3.00000	−	2.17963i	−0.191663	−	0.139251i
$246$	−0.500000	+	0.363271i	−0.0318788	+	0.0231613i
$247$	0.427051	−	1.31433i	0.0271726	−	0.0836287i
$248$	14.0623	−	43.2793i	0.892957	−	2.74824i
$249$	1.19098	−	0.865300i	0.0754755	−	0.0548361i
$250$	12.5902	+	9.14729i	0.796272	+	0.578526i
$251$	−6.79180	−	20.9030i	−0.428694	−	1.31939i	−0.899412	−	0.437102i	$-0.856005\pi$
$251$	−6.79180	−	20.9030i	−0.428694	−	1.31939i	0.470718	−	0.882284i	$-0.343995\pi$
$252$	−4.85410			−0.305780
$253$	−0.781153	+	0.0530006i	−0.0491107	+	0.00333212i
$254$	−20.1803			−1.26623
$255$	−0.218847	−	0.673542i	−0.0137047	−	0.0421788i
$256$	11.7812	+	8.55951i	0.736322	+	0.534969i
$257$	−24.0623	+	17.4823i	−1.50097	+	1.09052i	−0.530970	+	0.847390i	$0.678172\pi$
$257$	−24.0623	+	17.4823i	−1.50097	+	1.09052i	−0.969995	+	0.243125i	$0.921828\pi$
$258$	−5.42705	+	16.7027i	−0.337873	+	1.03987i
$259$	1.92705	−	5.93085i	0.119741	−	0.368525i
$260$	0.572949	−	0.416272i	0.0355328	−	0.0258161i
$261$	4.85410	+	3.52671i	0.300461	+	0.218298i
$262$	9.54508	+	29.3768i	0.589697	+	1.81490i
$263$	−15.2705			−0.941620			−0.470810	−	0.882235i	$-0.656038\pi$
$263$	−15.2705			−0.941620			−0.470810	+	0.882235i	$0.656038\pi$
$264$	−9.23607	−	22.9969i	−0.568441	−	1.41536i
$265$	0.236068			0.0145015
$266$	4.73607	+	14.5761i	0.290387	+	0.893719i
$267$	−6.66312	−	4.84104i	−0.407776	−	0.296267i
$268$	−7.28115	+	5.29007i	−0.444767	+	0.323142i
$269$	−7.85410	+	24.1724i	−0.478873	+	1.47382i	0.361789	+	0.932260i	$0.382166\pi$
$269$	−7.85410	+	24.1724i	−0.478873	+	1.47382i	−0.840662	+	0.541560i	$0.817834\pi$
$270$	−0.500000	+	1.53884i	−0.0304290	+	0.0936509i
$271$	−15.0623	+	10.9434i	−0.914970	+	0.664765i	−0.942267	−	0.334863i	$-0.891310\pi$
$271$	−15.0623	+	10.9434i	−0.914970	+	0.664765i	0.0272970	+	0.999627i	$0.491310\pi$
$272$	9.13525	+	6.63715i	0.553906	+	0.402436i
$273$	0.0729490	+	0.224514i	0.00441508	+	0.0135882i
$274$	−25.5623			−1.54428
$275$	−12.9721	−	8.14324i	−0.782249	−	0.491056i
$276$	−1.14590			−0.0689750
$277$	−9.02786	−	27.7849i	−0.542432	−	1.66943i	−0.727019	−	0.686617i	$-0.759095\pi$
$277$	−9.02786	−	27.7849i	−0.542432	−	1.66943i	0.184587	−	0.982816i	$-0.440905\pi$
$278$	30.8435	+	22.4091i	1.84987	+	1.34401i
$279$	4.92705	−	3.57971i	0.294975	−	0.214312i
$280$	−1.42705	+	4.39201i	−0.0852826	+	0.262473i
$281$	7.65248	−	23.5519i	0.456508	−	1.40499i	−0.412847	−	0.910801i	$-0.635465\pi$
$281$	7.65248	−	23.5519i	0.456508	−	1.40499i	0.869355	−	0.494188i	$-0.164535\pi$
$282$	21.3713	−	15.5272i	1.27264	−	0.924630i
$283$	4.61803	+	3.35520i	0.274514	+	0.199446i	0.716521	−	0.697566i	$-0.245733\pi$
$283$	4.61803	+	3.35520i	0.274514	+	0.199446i	−0.442007	+	0.897011i	$0.645733\pi$
$284$	15.4894	+	47.6713i	0.919124	+	2.82877i
$285$	3.61803			0.214314
$286$	−1.57295	+	1.31433i	−0.0930104	+	0.0777178i
$287$	−0.236068			−0.0139347
$288$	−3.35410	−	10.3229i	−0.197642	−	0.608281i
$289$	12.6910	+	9.22054i	0.746528	+	0.542385i
$290$	7.85410	−	5.70634i	0.461209	−	0.335088i
$291$	−2.42705	+	7.46969i	−0.142276	+	0.437881i
$292$	−8.56231	+	26.3521i	−0.501071	+	1.54214i
$293$	17.5172	−	12.7270i	1.02337	−	0.743520i	0.0563966	−	0.998408i	$-0.482039\pi$
$293$	17.5172	−	12.7270i	1.02337	−	0.743520i	0.966970	+	0.254889i	$0.0820389\pi$
$294$	12.7082	+	9.23305i	0.741158	+	0.538482i
$295$	−1.40983	−	4.33901i	−0.0820835	−	0.252627i
$296$	46.5967			2.70838
$297$	0.809017	−	3.21644i	0.0469439	−	0.186637i
$298$	11.0902			0.642436
$299$	0.0172209	+	0.0530006i	0.000995912	+	0.00306510i
$300$	−18.1353	−	13.1760i	−1.04704	−	0.760719i
$301$	−5.42705	+	3.94298i	−0.312810	+	0.227270i
$302$	−0.854102	+	2.62866i	−0.0491480	+	0.151262i
$303$	3.16312	−	9.73508i	0.181716	−	0.559266i
$304$	−46.6697	+	33.9075i	−2.67669	+	1.94473i
$305$	−5.78115	−	4.20025i	−0.331028	−	0.240506i
$306$	0.927051	+	2.85317i	0.0529960	+	0.163105i
$307$	27.9787			1.59683			0.798415	−	0.602108i	$-0.205672\pi$
$307$	27.9787			1.59683			0.798415	+	0.602108i	$0.205672\pi$
$308$	3.92705	−	15.6129i	0.223764	−	0.889629i
$309$	10.9443			0.622598
$310$	−3.04508	−	9.37181i	−0.172949	−	0.532283i
$311$	−9.42705	−	6.84915i	−0.534559	−	0.388380i	0.287501	−	0.957780i	$-0.407175\pi$
$311$	−9.42705	−	6.84915i	−0.534559	−	0.388380i	−0.822060	+	0.569400i	$0.807175\pi$
$312$	−1.42705	+	1.03681i	−0.0807909	+	0.0586980i
$313$	−0.781153	+	2.40414i	−0.0441534	+	0.135890i	−0.970703	−	0.240282i	$-0.922760\pi$
$313$	−0.781153	+	2.40414i	−0.0441534	+	0.135890i	0.926550	+	0.376172i	$0.122760\pi$
$314$	−12.7082	+	39.1118i	−0.717165	+	2.20721i
$315$	−0.500000	+	0.363271i	−0.0281718	+	0.0204680i
$316$	−43.1976	−	31.3849i	−2.43005	−	1.76554i
$317$	−2.10739	−	6.48588i	−0.118363	−	0.364283i	0.874271	−	0.485439i	$-0.161340\pi$
$317$	−2.10739	−	6.48588i	−0.118363	−	0.364283i	−0.992634	+	0.121155i	$0.961340\pi$
$318$	−1.00000			−0.0560772
$319$	−15.2705	+	12.7598i	−0.854984	+	0.714410i
$320$	−5.38197			−0.300861
$321$	3.54508	+	10.9106i	0.197867	+	0.608973i
$322$	−0.500000	−	0.363271i	−0.0278639	−	0.0202443i
$323$	5.42705	−	3.94298i	0.301969	−	0.219393i
$324$	1.50000	−	4.61653i	0.0833333	−	0.256474i
$325$	−0.336881	+	1.03681i	−0.0186868	+	0.0575121i
$326$	−10.8992	+	7.91872i	−0.603650	+	0.438577i
$327$	−9.70820	−	7.05342i	−0.536865	−	0.390055i
$328$	−0.545085	−	1.67760i	−0.0300973	−	0.0926299i
$329$	10.0902			0.556289
$330$	−4.54508	−	2.85317i	−0.250199	−	0.157062i
$331$	16.7082			0.918366			0.459183	−	0.888342i	$-0.348142\pi$
$331$	16.7082			0.918366			0.459183	+	0.888342i	$0.348142\pi$
$332$	2.20820	+	6.79615i	0.121191	+	0.372987i
$333$	5.04508	+	3.66547i	0.276469	+	0.200866i
$334$	25.4894	−	18.5191i	1.39472	−	1.01332i
$335$	−0.354102	+	1.08981i	−0.0193467	+	0.0595429i
$336$	3.04508	−	9.37181i	0.166123	−	0.511274i
$337$	14.7082	−	10.6861i	0.801207	−	0.582111i	−0.110061	−	0.993925i	$-0.535105\pi$
$337$	14.7082	−	10.6861i	0.801207	−	0.582111i	0.911268	+	0.411814i	$0.135105\pi$
$338$	−27.4164	−	19.9192i	−1.49126	−	1.08346i
$339$	−4.16312	−	12.8128i	−0.226110	−	0.695894i
$340$	3.43769			0.186435
$341$	7.52786	+	18.7436i	0.407657	+	1.01502i
$342$	−15.3262			−0.828748
$343$	4.01722	+	12.3637i	0.216910	+	0.667579i
$344$	−40.5517	−	29.4625i	−2.18640	−	1.58851i
$345$	−0.118034	+	0.0857567i	−0.00635474	+	0.00461699i
$346$	14.5902	−	44.9039i	0.784372	−	2.41405i
$347$	−0.472136	+	1.45309i	−0.0253456	+	0.0780057i	−0.962929	−	0.269754i	$-0.913058\pi$
$347$	−0.472136	+	1.45309i	−0.0253456	+	0.0780057i	0.937584	+	0.347760i	$0.113058\pi$
$348$	−23.5623	+	17.1190i	−1.26307	+	0.917676i
$349$	−10.2812	−	7.46969i	−0.550337	−	0.399844i	0.277572	−	0.960705i	$-0.410470\pi$
$349$	−10.2812	−	7.46969i	−0.550337	−	0.399844i	−0.827910	+	0.560861i	$0.810470\pi$
$350$	−3.73607	−	11.4984i	−0.199701	−	0.614617i
$351$	−0.236068			−0.0126004
$352$	35.9164	−	2.43690i	1.91435	−	0.129887i
$353$	−12.0000			−0.638696			−0.319348	−	0.947638i	$-0.603464\pi$
$353$	−12.0000			−0.638696			−0.319348	+	0.947638i	$0.603464\pi$
$354$	5.97214	+	18.3803i	0.317415	+	0.976904i
$355$	5.16312	+	3.75123i	0.274030	+	0.199094i
$356$	32.3435	−	23.4989i	1.71420	−	1.24544i
$357$	−0.354102	+	1.08981i	−0.0187411	+	0.0576791i
$358$	6.89919	−	21.2335i	0.364633	−	1.12223i
$359$	7.85410	−	5.70634i	0.414524	−	0.301169i	−0.360907	−	0.932602i	$-0.617533\pi$
$359$	7.85410	−	5.70634i	0.414524	−	0.301169i	0.775431	+	0.631433i	$0.217533\pi$
$360$	−3.73607	−	2.71441i	−0.196908	−	0.143062i
$361$	4.71885	+	14.5231i	0.248360	+	0.764375i
$362$	−6.61803			−0.347836
$363$	9.69098	+	5.20431i	0.508645	+	0.273155i
$364$	−1.14590			−0.0600614
$365$	1.09017	+	3.35520i	0.0570621	+	0.175619i
$366$	24.4894	+	17.7926i	1.28008	+	0.930032i
$367$	−17.9164	+	13.0170i	−0.935229	+	0.679484i	−0.947267	−	0.320444i	$-0.896168\pi$
$367$	−17.9164	+	13.0170i	−0.935229	+	0.679484i	0.0120386	+	0.999928i	$0.496168\pi$
$368$	0.718847	−	2.21238i	0.0374725	−	0.115328i
$369$	0.0729490	−	0.224514i	0.00379757	−	0.0116877i
$370$	8.16312	−	5.93085i	0.424380	−	0.308330i
$371$	−0.309017	−	0.224514i	−0.0160434	−	0.0116562i
$372$	9.13525	+	28.1154i	0.473641	+	1.45772i
$373$	0.888544			0.0460071			0.0230035	−	0.999735i	$-0.492677\pi$
$373$	0.888544			0.0460071			0.0230035	+	0.999735i	$0.492677\pi$
$374$	−9.92705	+	0.673542i	−0.513316	+	0.0348280i
$375$	−5.94427			−0.306961
$376$	23.2984	+	71.7050i	1.20152	+	3.69790i
$377$	1.14590	+	0.832544i	0.0590168	+	0.0428782i
$378$	2.11803	−	1.53884i	0.108940	−	0.0791495i
$379$	−7.69098	+	23.6704i	−0.395059	+	1.21587i	0.533856	+	0.845575i	$0.320742\pi$
$379$	−7.69098	+	23.6704i	−0.395059	+	1.21587i	−0.928915	+	0.370292i	$0.879258\pi$
$380$	−5.42705	+	16.7027i	−0.278402	+	0.856833i
$381$	6.23607	−	4.53077i	0.319483	−	0.232118i
$382$	−1.73607	−	1.26133i	−0.0888250	−	0.0645351i
$383$	−3.92705	−	12.0862i	−0.200663	−	0.617577i	−0.999864	−	0.0165128i	$-0.994744\pi$
$383$	−3.92705	−	12.0862i	−0.200663	−	0.617577i	0.799201	−	0.601064i	$-0.205256\pi$
$384$	1.09017			0.0556325
$385$	−0.763932	−	1.90211i	−0.0389336	−	0.0969407i
$386$	8.23607			0.419205
$387$	−2.07295	−	6.37988i	−0.105374	−	0.324308i
$388$	−30.8435	−	22.4091i	−1.56584	−	1.13765i
$389$	29.7254	−	21.5968i	1.50714	−	1.09500i	0.539712	−	0.841850i	$-0.318533\pi$
$389$	29.7254	−	21.5968i	1.50714	−	1.09500i	0.967427	−	0.253151i	$-0.0814669\pi$
$390$	−0.118034	+	0.363271i	−0.00597688	+	0.0183950i
$391$	−0.0835921	+	0.257270i	−0.00422744	+	0.0130107i
$392$	−36.2705	+	26.3521i	−1.83194	+	1.33098i
$393$	−9.54508	−	6.93491i	−0.481486	−	0.349820i
$394$	−10.5451	−	32.4544i	−0.531254	−	1.63503i
$395$	−6.79837			−0.342063
$396$	13.6353	+	8.55951i	0.685197	+	0.430131i
$397$	−18.7082			−0.938938			−0.469469	−	0.882949i	$-0.655555\pi$
$397$	−18.7082			−0.938938			−0.469469	+	0.882949i	$0.655555\pi$
$398$	−5.42705	−	16.7027i	−0.272033	−	0.837233i
$399$	−4.73607	−	3.44095i	−0.237100	−	0.172263i
$400$	36.8156	−	26.7481i	1.84078	−	1.33740i
$401$	−9.79180	+	30.1360i	−0.488979	+	1.50492i	0.337155	+	0.941449i	$0.390535\pi$
$401$	−9.79180	+	30.1360i	−0.488979	+	1.50492i	−0.826134	+	0.563473i	$0.809465\pi$
$402$	1.50000	−	4.61653i	0.0748132	−	0.230251i
$403$	1.16312	−	0.845055i	0.0579391	−	0.0420952i
$404$	40.1976	+	29.2052i	1.99990	+	1.45301i
$405$	−0.190983	−	0.587785i	−0.00949002	−	0.0292073i
$406$	−15.7082			−0.779585
$407$	−15.8713	+	13.2618i	−0.786712	+	0.657363i
$408$	−8.56231			−0.423897
$409$	−2.00000	−	6.15537i	−0.0988936	−	0.304363i	0.889355	−	0.457217i	$-0.151154\pi$
$409$	−2.00000	−	6.15537i	−0.0988936	−	0.304363i	−0.988249	+	0.152854i	$0.951154\pi$
$410$	−0.309017	−	0.224514i	−0.0152613	−	0.0110880i
$411$	7.89919	−	5.73910i	0.389638	−	0.283089i
$412$	−16.4164	+	50.5245i	−0.808778	+	2.48916i
$413$	−2.28115	+	7.02067i	−0.112248	+	0.345464i
$414$	0.500000	−	0.363271i	0.0245737	−	0.0178538i
$415$	0.736068	+	0.534785i	0.0361322	+	0.0262515i
$416$	−0.791796	−	2.43690i	−0.0388210	−	0.119479i
$417$	−14.5623			−0.713119
$418$	12.3992	−	49.2959i	0.606464	−	2.41114i
$419$	31.4508			1.53647			0.768237	−	0.640165i	$-0.221134\pi$
$419$	31.4508			1.53647			0.768237	+	0.640165i	$0.221134\pi$
$420$	−0.927051	−	2.85317i	−0.0452355	−	0.139220i
$421$	−8.50000	−	6.17561i	−0.414265	−	0.300981i	0.361061	−	0.932542i	$-0.382414\pi$
$421$	−8.50000	−	6.17561i	−0.414265	−	0.300981i	−0.775326	+	0.631561i	$0.782414\pi$
$422$	7.66312	−	5.56758i	0.373035	−	0.271026i
$423$	−3.11803	+	9.59632i	−0.151604	+	0.466589i
$424$	0.881966	−	2.71441i	0.0428321	−	0.131824i
$425$	−4.28115	+	3.11044i	−0.207666	+	0.150878i
$426$	−21.8713	−	15.8904i	−1.05967	−	0.769895i
$427$	3.57295	+	10.9964i	0.172907	+	0.532153i
$428$	−55.6869			−2.69173
$429$	0.190983	−	0.759299i	0.00922075	−	0.0366593i
$430$	−10.8541			−0.523431
$431$	−1.82624	−	5.62058i	−0.0879668	−	0.270734i	0.897390	−	0.441238i	$-0.145460\pi$
$431$	−1.82624	−	5.62058i	−0.0879668	−	0.270734i	−0.985357	+	0.170504i	$0.945460\pi$
$432$	7.97214	+	5.79210i	0.383560	+	0.278672i
$433$	−28.5623	+	20.7517i	−1.37262	+	0.997264i	−0.375089	+	0.926989i	$0.622388\pi$
$433$	−28.5623	+	20.7517i	−1.37262	+	0.997264i	−0.997528	+	0.0702758i	$0.977612\pi$
$434$	−4.92705	+	15.1639i	−0.236506	+	0.727891i
$435$	−1.14590	+	3.52671i	−0.0549416	+	0.169093i
$436$	47.1246	−	34.2380i	2.25686	−	1.63970i
$437$	−1.11803	−	0.812299i	−0.0534828	−	0.0388575i
$438$	−4.61803	−	14.2128i	−0.220658	−	0.679116i
$439$	23.2918			1.11166			0.555828	−	0.831297i	$-0.312401\pi$
$439$	23.2918			1.11166			0.555828	+	0.831297i	$0.312401\pi$
$440$	11.7533	−	9.82084i	0.560316	−	0.468190i
$441$	−6.00000			−0.285714
$442$	0.218847	+	0.673542i	0.0104095	+	0.0320371i
$443$	25.5623	+	18.5721i	1.21450	+	0.882387i	0.995632	−	0.0933668i	$-0.0297629\pi$
$443$	25.5623	+	18.5721i	1.21450	+	0.882387i	0.218870	+	0.975754i	$0.429763\pi$
$444$	−24.4894	+	17.7926i	−1.16221	+	0.844397i
$445$	1.57295	−	4.84104i	0.0745649	−	0.229487i
$446$	−5.80902	+	17.8783i	−0.275065	+	0.846563i
$447$	−3.42705	+	2.48990i	−0.162094	+	0.117768i
$448$	7.04508	+	5.11855i	0.332849	+	0.241829i
$449$	−2.79837	−	8.61251i	−0.132063	−	0.406449i	0.863058	−	0.505104i	$-0.168546\pi$
$449$	−2.79837	−	8.61251i	−0.132063	−	0.406449i	−0.995122	+	0.0986549i	$0.968546\pi$
$450$	12.0902			0.569936
$451$	0.663119	+	0.416272i	0.0312251	+	0.0196015i
$452$	65.3951			3.07593
$453$	−0.326238	−	1.00406i	−0.0153280	−	0.0471747i
$454$	27.9164	+	20.2825i	1.31018	+	0.951903i
$455$	−0.118034	+	0.0857567i	−0.00553352	+	0.00402034i
$456$	13.5172	−	41.6017i	0.633002	−	1.94818i
$457$	7.40983	−	22.8051i	0.346617	−	1.06678i	−0.614095	−	0.789232i	$-0.710479\pi$
$457$	7.40983	−	22.8051i	0.346617	−	1.06678i	0.960712	−	0.277546i	$-0.0895211\pi$
$458$	1.00000	−	0.726543i	0.0467269	−	0.0339491i
$459$	−0.927051	−	0.673542i	−0.0432710	−	0.0314382i
$460$	−0.218847	−	0.673542i	−0.0102038	−	0.0314041i
$461$	9.27051			0.431771			0.215885	−	0.976419i	$-0.430736\pi$
$461$	9.27051			0.431771			0.215885	+	0.976419i	$0.430736\pi$
$462$	3.23607	+	8.05748i	0.150556	+	0.374868i
$463$	1.72949			0.0803762			0.0401881	−	0.999192i	$-0.487204\pi$
$463$	1.72949			0.0803762			0.0401881	+	0.999192i	$0.487204\pi$
$464$	−18.2705	−	56.2308i	−0.848187	−	2.61045i
$465$	3.04508	+	2.21238i	0.141212	+	0.102597i
$466$	−8.78115	+	6.37988i	−0.406779	+	0.295542i
$467$	6.45492	−	19.8662i	0.298698	−	0.919297i	−0.683256	−	0.730179i	$-0.739437\pi$
$467$	6.45492	−	19.8662i	0.298698	−	0.919297i	0.981954	−	0.189119i	$-0.0605631\pi$
$468$	0.354102	−	1.08981i	0.0163684	−	0.0503767i
$469$	1.50000	−	1.08981i	0.0692636	−	0.0503229i
$470$	13.2082	+	9.59632i	0.609249	+	0.442645i
$471$	−4.85410	−	14.9394i	−0.223665	−	0.688371i
$472$	−55.1591			−2.53890
$473$	22.1976	−	1.50609i	1.02064	−	0.0692499i
$474$	28.7984			1.32275
$475$	−8.35410	−	25.7113i	−0.383312	−	1.17971i
$476$	−4.50000	−	3.26944i	−0.206257	−	0.149855i
$477$	0.309017	−	0.224514i	0.0141489	−	0.0102798i
$478$	−0.309017	+	0.951057i	−0.0141341	+	0.0435003i
$479$	−8.77051	+	26.9929i	−0.400735	+	1.23333i	0.523670	+	0.851921i	$0.324563\pi$
$479$	−8.77051	+	26.9929i	−0.400735	+	1.23333i	−0.924405	+	0.381414i	$0.875437\pi$
$480$	5.42705	−	3.94298i	0.247710	−	0.179972i
$481$	1.19098	+	0.865300i	0.0543042	+	0.0394543i
$482$	−6.70820	−	20.6457i	−0.305550	−	0.940387i
$483$	0.236068			0.0107415
$484$	−38.5623	+	36.9322i	−1.75283	+	1.67874i
$485$	−4.85410			−0.220413
$486$	0.809017	+	2.48990i	0.0366978	+	0.112944i
$487$	10.2812	+	7.46969i	0.465884	+	0.338484i	0.795835	−	0.605514i	$-0.207032\pi$
$487$	10.2812	+	7.46969i	0.465884	+	0.338484i	−0.329951	+	0.943998i	$0.607032\pi$
$488$	−69.8951	+	50.7818i	−3.16400	+	2.29878i
$489$	1.59017	−	4.89404i	0.0719100	−	0.221316i
$490$	−3.00000	+	9.23305i	−0.135526	+	0.417107i
$491$	14.4894	−	10.5271i	0.653896	−	0.475083i	−0.210700	−	0.977551i	$-0.567574\pi$
$491$	14.4894	−	10.5271i	0.653896	−	0.475083i	0.864596	+	0.502468i	$0.167574\pi$
$492$	0.927051	+	0.673542i	0.0417947	+	0.0303656i
$493$	2.12461	+	6.53888i	0.0956877	+	0.294496i
$494$	−3.61803			−0.162783
$495$	2.04508	−	0.138757i	0.0919197	−	0.00623668i
$496$	−60.0132			−2.69467
$497$	−3.19098	−	9.82084i	−0.143135	−	0.440525i
$498$	−3.11803	−	2.26538i	−0.139722	−	0.101514i
$499$	14.6803	−	10.6659i	0.657182	−	0.477471i	−0.208528	−	0.978016i	$-0.566867\pi$
$499$	14.6803	−	10.6659i	0.657182	−	0.477471i	0.865710	+	0.500546i	$0.166867\pi$
$500$	8.91641	−	27.4419i	0.398754	−	1.22724i
$501$	−3.71885	+	11.4454i	−0.166146	+	0.511344i
$502$	−46.5517	+	33.8218i	−2.07770	+	1.50954i
$503$	−7.00000	−	5.08580i	−0.312115	−	0.226765i	0.420689	−	0.907205i	$-0.361788\pi$
$503$	−7.00000	−	5.08580i	−0.312115	−	0.226765i	−0.732803	+	0.680441i	$0.761788\pi$
$504$	2.30902	+	7.10642i	0.102852	+	0.316545i
$505$	6.32624			0.281514
$506$	0.763932	+	1.90211i	0.0339609	+	0.0845592i
$507$	12.9443			0.574875
$508$	11.5623	+	35.5851i	0.512994	+	1.57883i
$509$	−31.3435	−	22.7724i	−1.38927	−	1.00937i	−0.995945	−	0.0899695i	$-0.971323\pi$
$509$	−31.3435	−	22.7724i	−1.38927	−	1.00937i	−0.393330	−	0.919397i	$-0.628677\pi$
$510$	−1.50000	+	1.08981i	−0.0664211	+	0.0482578i
$511$	1.76393	−	5.42882i	0.0780318	−	0.240157i
$512$	12.4549	−	38.3323i	0.550435	−	1.69406i
$513$	4.73607	−	3.44095i	0.209103	−	0.151922i
$514$	62.9959	+	45.7692i	2.77863	+	2.01879i
$515$	2.09017	+	6.43288i	0.0921039	+	0.283467i
$516$	32.5623			1.43348
$517$	−28.3435	−	17.7926i	−1.24654	−	0.782516i
$518$	−16.3262			−0.717334
$519$	5.57295	+	17.1518i	0.244625	+	0.752879i
$520$	−0.881966	−	0.640786i	−0.0386768	−	0.0281003i
$521$	−7.23607	+	5.25731i	−0.317018	+	0.230327i	−0.734902	−	0.678173i	$-0.762772\pi$
$521$	−7.23607	+	5.25731i	−0.317018	+	0.230327i	0.417884	+	0.908500i	$0.362772\pi$
$522$	4.85410	−	14.9394i	0.212458	−	0.653879i
$523$	5.64590	−	17.3763i	0.246878	−	0.759812i	−0.748444	−	0.663198i	$-0.769199\pi$
$523$	5.64590	−	17.3763i	0.246878	−	0.759812i	0.995322	−	0.0966140i	$-0.0308013\pi$
$524$	46.3328	−	33.6628i	2.02406	−	1.47056i
$525$	3.73607	+	2.71441i	0.163055	+	0.118467i
$526$	12.3541	+	38.0220i	0.538664	+	1.65784i
$527$	6.97871			0.303998
$528$	−25.0795	+	20.9560i	−1.09145	+	0.911993i
$529$	−22.9443			−0.997577
$530$	−0.190983	−	0.587785i	−0.00829577	−	0.0255318i
$531$	−5.97214	−	4.33901i	−0.259169	−	0.188297i
$532$	22.9894	−	16.7027i	0.996715	−	0.724156i
$533$	0.0172209	−	0.0530006i	0.000745921	−	0.00229571i
$534$	−6.66312	+	20.5070i	−0.288341	+	0.887423i
$535$	−5.73607	+	4.16750i	−0.247992	+	0.180177i
$536$	11.2082	+	8.14324i	0.484121	+	0.351734i
$537$	2.63525	+	8.11048i	0.113720	+	0.349993i
$538$	66.5410			2.86879
$539$	4.85410	−	19.2986i	0.209081	−	0.831251i
$540$	3.00000			0.129099
$541$	−2.31559	−	7.12667i	−0.0995552	−	0.306399i	0.888859	−	0.458181i	$-0.151499\pi$
$541$	−2.31559	−	7.12667i	−0.0995552	−	0.306399i	−0.988414	+	0.151782i	$0.951499\pi$
$542$	39.4336	+	28.6502i	1.69382	+	1.23063i
$543$	2.04508	−	1.48584i	0.0877630	−	0.0637635i
$544$	3.84346	−	11.8290i	0.164787	−	0.507162i
$545$	2.29180	−	7.05342i	0.0981698	−	0.302135i
$546$	0.500000	−	0.363271i	0.0213980	−	0.0155466i
$547$	24.8713	+	18.0701i	1.06342	+	0.772621i	0.974718	−	0.223438i	$-0.0717279\pi$
$547$	24.8713	+	18.0701i	1.06342	+	0.772621i	0.0887027	+	0.996058i	$0.471728\pi$
$548$	14.6459	+	45.0754i	0.625642	+	1.92553i
$549$	−11.5623			−0.493467
$550$	−9.78115	+	38.8873i	−0.417070	+	1.65816i
$551$	−35.1246			−1.49636
$552$	0.545085	+	1.67760i	0.0232004	+	0.0714034i
$553$	8.89919	+	6.46564i	0.378432	+	0.274947i
$554$	−61.8779	+	44.9569i	−2.62894	+	1.91004i
$555$	−1.19098	+	3.66547i	−0.0505544	+	0.155590i
$556$	21.8435	−	67.2273i	0.926369	−	2.85107i
$557$	−30.4443	+	22.1191i	−1.28997	+	0.937215i	−0.999805	−	0.0197634i	$-0.993709\pi$
$557$	−30.4443	+	22.1191i	−1.28997	+	0.937215i	−0.290161	+	0.956978i	$0.593709\pi$
$558$	−12.8992	−	9.37181i	−0.546066	−	0.396740i
$559$	−0.489357	−	1.50609i	−0.0206976	−	0.0637006i
$560$	6.09017			0.257357
$561$	2.91641	−	2.43690i	0.123131	−	0.102886i
$562$	−64.8328			−2.73481
$563$	12.5451	+	38.6098i	0.528712	+	1.62721i	0.756856	+	0.653582i	$0.226734\pi$
$563$	12.5451	+	38.6098i	0.528712	+	1.62721i	−0.228144	+	0.973627i	$0.573266\pi$
$564$	−39.6246	−	28.7890i	−1.66850	−	1.21223i
$565$	6.73607	−	4.89404i	0.283389	−	0.205894i
$566$	4.61803	−	14.2128i	0.194110	−	0.597411i
$567$	−0.309017	+	0.951057i	−0.0129775	+	0.0399406i
$568$	62.4230	−	45.3530i	2.61921	−	1.90297i
$569$	−27.6525	−	20.0907i	−1.15925	−	0.842246i	−0.169569	−	0.985518i	$-0.554237\pi$
$569$	−27.6525	−	20.0907i	−1.15925	−	0.842246i	−0.989683	+	0.143272i	$0.954237\pi$
$570$	−2.92705	−	9.00854i	−0.122601	−	0.377326i
$571$	−9.09017			−0.380412			−0.190206	−	0.981744i	$-0.560916\pi$
$571$	−9.09017			−0.380412			−0.190206	+	0.981744i	$0.560916\pi$
$572$	3.21885	+	2.02063i	0.134587	+	0.0844866i
$573$	0.819660			0.0342418
$574$	0.190983	+	0.587785i	0.00797148	+	0.0245337i
$575$	0.881966	+	0.640786i	0.0367805	+	0.0267226i
$576$	−7.04508	+	5.11855i	−0.293545	+	0.213273i
$577$	9.79837	−	30.1563i	0.407912	−	1.25542i	−0.510528	−	0.859861i	$-0.670550\pi$
$577$	9.79837	−	30.1563i	0.407912	−	1.25542i	0.918439	−	0.395562i	$-0.129450\pi$
$578$	12.6910	−	39.0588i	0.527875	−	1.62463i
$579$	−2.54508	+	1.84911i	−0.105770	+	0.0768465i
$580$	−14.5623	−	10.5801i	−0.604667	−	0.439316i
$581$	−0.454915	−	1.40008i	−0.0188731	−	0.0580853i
$582$	20.5623			0.852335
$583$	0.472136	+	1.17557i	0.0195539	+	0.0486872i
$584$	42.6525			1.76497
$585$	−0.0450850	−	0.138757i	−0.00186403	−	0.00573691i
$586$	−45.8607	−	33.3197i	−1.89449	−	1.37643i
$587$	1.71885	−	1.24882i	0.0709444	−	0.0515441i	−0.551748	−	0.834011i	$-0.686039\pi$
$587$	1.71885	−	1.24882i	0.0709444	−	0.0515441i	0.622692	+	0.782467i	$0.286039\pi$
$588$	9.00000	−	27.6992i	0.371154	−	1.14229i
$589$	−11.0172	+	33.9075i	−0.453957	+	1.39714i
$590$	−9.66312	+	7.02067i	−0.397824	+	0.289036i
$591$	10.5451	+	7.66145i	0.433767	+	0.315150i
$592$	−18.9894	−	58.4432i	−0.780458	−	2.40200i
$593$	−14.0344			−0.576325			−0.288163	−	0.957581i	$-0.593044\pi$
$593$	−14.0344			−0.576325			−0.288163	+	0.957581i	$0.593044\pi$
$594$	−8.66312	+	0.587785i	−0.355452	+	0.0241171i
$595$	−0.708204			−0.0290335
$596$	−6.35410	−	19.5559i	−0.260274	−	0.801041i
$597$	5.42705	+	3.94298i	0.222114	+	0.161376i
$598$	0.118034	−	0.0857567i	0.00482677	−	0.00350685i
$599$	3.90983	−	12.0332i	0.159751	−	0.491664i	−0.838860	−	0.544347i	$-0.816777\pi$
$599$	3.90983	−	12.0332i	0.159751	−	0.491664i	0.998611	+	0.0526833i	$0.0167774\pi$
$600$	−10.6631	+	32.8177i	−0.435320	+	1.33978i
$601$	5.57295	−	4.04898i	0.227325	−	0.165162i	−0.468293	−	0.883573i	$-0.655131\pi$
$601$	5.57295	−	4.04898i	0.227325	−	0.165162i	0.695618	+	0.718412i	$0.255131\pi$
$602$	14.2082	+	10.3229i	0.579083	+	0.420729i
$603$	0.572949	+	1.76336i	0.0233323	+	0.0718094i
$604$	5.12461			0.208517
$605$	−1.20820	+	6.69015i	−0.0491205	+	0.271993i
$606$	−26.7984			−1.08861
$607$	−5.11803	−	15.7517i	−0.207735	−	0.639341i	−0.999590	−	0.0286327i	$-0.990885\pi$
$607$	−5.11803	−	15.7517i	−0.207735	−	0.639341i	0.791855	−	0.610709i	$-0.209115\pi$
$608$	51.4058	+	37.3485i	2.08478	+	1.51468i
$609$	4.85410	−	3.52671i	0.196698	−	0.142910i
$610$	−5.78115	+	17.7926i	−0.234072	+	0.720400i
$611$	−0.736068	+	2.26538i	−0.0297781	+	0.0916476i
$612$	4.50000	−	3.26944i	0.181902	−	0.132159i
$613$	11.5623	+	8.40051i	0.466997	+	0.339293i	0.796270	−	0.604942i	$-0.206804\pi$
$613$	11.5623	+	8.40051i	0.466997	+	0.339293i	−0.329273	+	0.944235i	$0.606804\pi$
$614$	−22.6353	−	69.6642i	−0.913485	−	2.81142i
$615$	0.145898			0.00588318
$616$	−24.7254	+	1.67760i	−0.996216	+	0.0675924i
$617$	11.1803			0.450104			0.225052	−	0.974347i	$-0.427745\pi$
$617$	11.1803			0.450104			0.225052	+	0.974347i	$0.427745\pi$
$618$	−8.85410	−	27.2501i	−0.356164	−	1.09616i
$619$	−19.5172	−	14.1801i	−0.784463	−	0.569946i	0.121852	−	0.992548i	$-0.461117\pi$
$619$	−19.5172	−	14.1801i	−0.784463	−	0.569946i	−0.906315	+	0.422602i	$0.861117\pi$
$620$	−14.7812	+	10.7391i	−0.593625	+	0.431294i
$621$	−0.0729490	+	0.224514i	−0.00292734	+	0.00900944i
$622$	−9.42705	+	29.0135i	−0.377990	+	1.16333i
$623$	−6.66312	+	4.84104i	−0.266952	+	0.193952i
$624$	1.88197	+	1.36733i	0.0753389	+	0.0547369i
$625$	6.00000	+	18.4661i	0.240000	+	0.738644i
$626$	6.61803			0.264510
$627$	7.23607	+	18.0171i	0.288981	+	0.719533i
$628$	76.2492			3.04268
$629$	2.20820	+	6.79615i	0.0880469	+	0.270980i
$630$	1.30902	+	0.951057i	0.0521525	+	0.0378910i
$631$	−15.5451	+	11.2942i	−0.618840	+	0.449614i	−0.852516	−	0.522701i	$-0.824924\pi$
$631$	−15.5451	+	11.2942i	−0.618840	+	0.449614i	0.233676	+	0.972314i	$0.424924\pi$
$632$	−25.3992	+	78.1707i	−1.01033	+	3.10946i
$633$	−1.11803	+	3.44095i	−0.0444379	+	0.136766i
$634$	−14.4443	+	10.4944i	−0.573655	+	0.416785i
$635$	3.85410	+	2.80017i	0.152945	+	0.111121i
$636$	0.572949	+	1.76336i	0.0227189	+	0.0699216i
$637$	−1.41641			−0.0561201
$638$	44.1246	+	27.6992i	1.74691	+	1.09662i
$639$	10.3262			0.408500
$640$	0.208204	+	0.640786i	0.00822998	+	0.0253293i
$641$	20.2984	+	14.7476i	0.801738	+	0.582496i	0.911423	−	0.411470i	$-0.134984\pi$
$641$	20.2984	+	14.7476i	0.801738	+	0.582496i	−0.109686	+	0.993966i	$0.534984\pi$
$642$	24.2984	−	17.6538i	0.958980	−	0.696740i
$643$	6.44427	−	19.8334i	0.254137	−	0.782154i	−0.739861	−	0.672760i	$-0.765109\pi$
$643$	6.44427	−	19.8334i	0.254137	−	0.782154i	0.993998	−	0.109394i	$-0.0348912\pi$
$644$	−0.354102	+	1.08981i	−0.0139536	+	0.0429447i
$645$	3.35410	−	2.43690i	0.132068	−	0.0959528i
$646$	−14.2082	−	10.3229i	−0.559014	−	0.406148i
$647$	13.9164	+	42.8303i	0.547110	+	1.68383i	0.715918	+	0.698184i	$0.246008\pi$
$647$	13.9164	+	42.8303i	0.547110	+	1.68383i	−0.168808	+	0.985649i	$0.553992\pi$
$648$	−7.47214			−0.293533
$649$	18.7877	−	15.6987i	0.737483	−	0.616227i
$650$	2.85410			0.111947
$651$	−1.88197	−	5.79210i	−0.0737601	−	0.227010i
$652$	20.2082	+	14.6821i	0.791414	+	0.574996i
$653$	4.54508	−	3.30220i	0.177863	−	0.129225i	−0.495292	−	0.868727i	$-0.664939\pi$
$653$	4.54508	−	3.30220i	0.177863	−	0.129225i	0.673155	+	0.739502i	$0.264939\pi$
$654$	−9.70820	+	29.8788i	−0.379621	+	1.16835i
$655$	2.25329	−	6.93491i	0.0880433	−	0.270969i
$656$	−1.88197	+	1.36733i	−0.0734784	+	0.0533852i
$657$	4.61803	+	3.35520i	0.180167	+	0.130899i
$658$	−8.16312	−	25.1235i	−0.318232	−	0.979416i
$659$	−41.1246			−1.60199			−0.800994	−	0.598673i	$-0.795695\pi$
$659$	−41.1246			−1.60199			−0.800994	+	0.598673i	$0.795695\pi$
$660$	−2.42705	+	9.64932i	−0.0944728	+	0.375599i
$661$	36.5623			1.42211			0.711054	−	0.703137i	$-0.248218\pi$
$661$	36.5623			1.42211			0.711054	+	0.703137i	$0.248218\pi$
$662$	−13.5172	−	41.6017i	−0.525362	−	1.61690i
$663$	−0.218847	−	0.159002i	−0.00849932	−	0.00617511i
$664$	8.89919	−	6.46564i	0.345355	−	0.250915i
$665$	1.11803	−	3.44095i	0.0433555	−	0.133435i
$666$	5.04508	−	15.5272i	0.195493	−	0.601666i
$667$	1.14590	−	0.832544i	0.0443693	−	0.0322362i
$668$	−47.2599	−	34.3363i	−1.82854	−	1.32851i
$669$	−2.21885	−	6.82891i	−0.0857856	−	0.264021i
$670$	3.00000			0.115900
$671$	9.35410	−	37.1895i	0.361111	−	1.43568i
$672$	−10.8541			−0.418706
$673$	11.0729	+	34.0790i	0.426831	+	1.31365i	0.901230	+	0.433340i	$0.142665\pi$
$673$	11.0729	+	34.0790i	0.426831	+	1.31365i	−0.474399	+	0.880310i	$0.657335\pi$
$674$	−38.5066	−	27.9767i	−1.48322	−	1.07762i
$675$	−3.73607	+	2.71441i	−0.143801	+	0.104478i
$676$	−19.4164	+	59.7576i	−0.746785	+	2.29837i
$677$	4.18034	−	12.8658i	0.160664	−	0.494471i	−0.838027	−	0.545629i	$-0.816291\pi$
$677$	4.18034	−	12.8658i	0.160664	−	0.494471i	0.998691	+	0.0511572i	$0.0162909\pi$
$678$	−28.5344	+	20.7315i	−1.09586	+	0.796188i
$679$	6.35410	+	4.61653i	0.243848	+	0.177166i
$680$	−1.63525	−	5.03280i	−0.0627092	−	0.192999i
$681$	−13.1803			−0.505072
$682$	40.5795	−	33.9075i	1.55387	−	1.29839i
$683$	9.06888			0.347011			0.173506	−	0.984833i	$-0.444491\pi$
$683$	9.06888			0.347011			0.173506	+	0.984833i	$0.444491\pi$
$684$	8.78115	+	27.0256i	0.335756	+	1.03335i
$685$	4.88197	+	3.54696i	0.186530	+	0.135522i
$686$	27.5344	−	20.0049i	1.05127	−	0.763792i
$687$	−0.145898	+	0.449028i	−0.00556636	+	0.0171315i
$688$	−20.4271	+	62.8680i	−0.778774	+	2.39682i
$689$	0.0729490	−	0.0530006i	0.00277914	−	0.00201916i
$690$	0.309017	+	0.224514i	0.0117641	+	0.00854710i
$691$	0.416408	+	1.28157i	0.0158409	+	0.0487533i	0.958665	−	0.284539i	$-0.0918405\pi$
$691$	0.416408	+	1.28157i	0.0158409	+	0.0487533i	−0.942824	+	0.333292i	$0.891840\pi$
$692$	−87.5410			−3.32781
$693$	−2.80902	−	1.76336i	−0.106706	−	0.0669843i
$694$	4.00000			0.151838
$695$	−2.78115	−	8.55951i	−0.105495	−	0.324681i
$696$	36.2705	+	26.3521i	1.37483	+	0.998873i
$697$	0.218847	−	0.159002i	0.00828942	−	0.00602262i
$698$	−10.2812	+	31.6421i	−0.389147	+	1.19767i
$699$	1.28115	−	3.94298i	0.0484577	−	0.149137i
$700$	−18.1353	+	13.1760i	−0.685448	+	0.498007i
$701$	28.1525	+	20.4540i	1.06330	+	0.772536i	0.974697	−	0.223531i	$-0.0717583\pi$
$701$	28.1525	+	20.4540i	1.06330	+	0.772536i	0.0886075	+	0.996067i	$0.471758\pi$
$702$	0.190983	+	0.587785i	0.00720819	+	0.0221845i
$703$	−36.5066			−1.37687
$704$	−10.7639	−	26.8011i	−0.405681	−	1.01010i
$705$	−6.23607			−0.234864
$706$	9.70820	+	29.8788i	0.365373	+	1.12450i
$707$	−8.28115	−	6.01661i	−0.311445	−	0.226278i
$708$	28.9894	−	21.0620i	1.08949	−	0.791558i
$709$	3.46556	−	10.6659i	0.130152	−	0.400566i	−0.864653	−	0.502370i	$-0.832462\pi$
$709$	3.46556	−	10.6659i	0.130152	−	0.400566i	0.994804	+	0.101804i	$0.0324615\pi$
$710$	5.16312	−	15.8904i	0.193768	−	0.596358i
$711$	−8.89919	+	6.46564i	−0.333746	+	0.242480i
$712$	−49.7877	−	36.1729i	−1.86587	−	1.35564i
$713$	−0.444272	−	1.36733i	−0.0166381	−	0.0512068i
$714$	3.00000			0.112272
$715$	0.482779	−	0.0327561i	0.0180549	−	0.00122501i
$716$	−41.3951			−1.54701
$717$	−0.118034	−	0.363271i	−0.00440806	−	0.0135666i
$718$	−20.5623	−	14.9394i	−0.767378	−	0.557533i
$719$	31.1353	−	22.6211i	1.16115	−	0.843624i	0.171226	−	0.985232i	$-0.445227\pi$
$719$	31.1353	−	22.6211i	1.16115	−	0.843624i	0.989923	+	0.141608i	$0.0452271\pi$
$720$	−1.88197	+	5.79210i	−0.0701367	+	0.215859i
$721$	3.38197	−	10.4086i	0.125951	−	0.387637i
$722$	32.3435	−	23.4989i	1.20370	−	0.874538i
$723$	6.70820	+	4.87380i	0.249481	+	0.181258i
$724$	3.79180	+	11.6699i	0.140921	+	0.433710i
$725$	27.7082			1.02906
$726$	5.11803	−	28.3399i	0.189948	−	1.05179i
$727$	−9.14590			−0.339203			−0.169601	−	0.985513i	$-0.554248\pi$
$727$	−9.14590			−0.339203			−0.169601	+	0.985513i	$0.554248\pi$
$728$	0.545085	+	1.67760i	0.0202022	+	0.0621760i
$729$	−0.809017	−	0.587785i	−0.0299636	−	0.0217698i
$730$	7.47214	−	5.42882i	0.276556	−	0.200930i
$731$	2.37539	−	7.31069i	0.0878569	−	0.270396i
$732$	17.3435	−	53.3777i	0.641033	−	1.97290i
$733$	0.326238	−	0.237026i	0.0120499	−	0.00875474i	−0.581744	−	0.813372i	$-0.697629\pi$
$733$	0.326238	−	0.237026i	0.0120499	−	0.00875474i	0.593794	+	0.804617i	$0.297629\pi$
$734$	46.9058	+	34.0790i	1.73132	+	1.25788i
$735$	−1.14590	−	3.52671i	−0.0422671	−	0.130085i
$736$	−2.56231			−0.0944478
$737$	−6.13525	+	0.416272i	−0.225995	+	0.0153336i
$738$	−0.618034			−0.0227501
$739$	0.927051	+	2.85317i	0.0341021	+	0.104956i	0.966659	−	0.256068i	$-0.0824272\pi$
$739$	0.927051	+	2.85317i	0.0341021	+	0.104956i	−0.932557	+	0.361024i	$0.882427\pi$
$740$	−15.1353	−	10.9964i	−0.556383	−	0.404236i
$741$	1.11803	−	0.812299i	0.0410720	−	0.0298406i
$742$	−0.309017	+	0.951057i	−0.0113444	+	0.0349144i
$743$	−13.2533	+	40.7894i	−0.486216	+	1.49642i	0.343996	+	0.938971i	$0.388219\pi$
$743$	−13.2533	+	40.7894i	−0.486216	+	1.49642i	−0.830212	+	0.557448i	$0.811781\pi$
$744$	36.8156	−	26.7481i	1.34973	−	0.980633i
$745$	−2.11803	−	1.53884i	−0.0775988	−	0.0563788i
$746$	−0.718847	−	2.21238i	−0.0263189	−	0.0810011i
$747$	1.47214			0.0538626
$748$	6.87539	+	17.1190i	0.251389	+	0.625933i
$749$	11.4721			0.419183
$750$	4.80902	+	14.8006i	0.175600	+	0.540443i
$751$	−13.0623	−	9.49032i	−0.476650	−	0.346307i	0.323377	−	0.946270i	$-0.395182\pi$
$751$	−13.0623	−	9.49032i	−0.476650	−	0.346307i	−0.800027	+	0.599963i	$0.795182\pi$
$752$	80.4402	−	58.4432i	2.93335	−	2.13121i
$753$	6.79180	−	20.9030i	0.247507	−	0.761748i
$754$	1.14590	−	3.52671i	0.0417311	−	0.128435i
$755$	0.527864	−	0.383516i	0.0192109	−	0.0139576i
$756$	−3.92705	−	2.85317i	−0.142825	−	0.103769i
$757$	1.54508	+	4.75528i	0.0561571	+	0.172834i	0.975201	−	0.221322i	$-0.0710371\pi$
$757$	1.54508	+	4.75528i	0.0561571	+	0.172834i	−0.919044	+	0.394156i	$0.871037\pi$
$758$	65.1591			2.36668
$759$	−0.663119	−	0.416272i	−0.0240697	−	0.0151097i
$760$	27.0344			0.980642
$761$	9.05166	+	27.8582i	0.328123	+	1.00986i	0.970011	+	0.243060i	$0.0781511\pi$
$761$	9.05166	+	27.8582i	0.328123	+	1.00986i	−0.641889	+	0.766798i	$0.721849\pi$
$762$	−16.3262	−	11.8617i	−0.591437	−	0.429704i
$763$	−9.70820	+	7.05342i	−0.351461	+	0.255351i
$764$	−1.22949	+	3.78398i	−0.0444814	+	0.136900i
$765$	0.218847	−	0.673542i	0.00791243	−	0.0243520i
$766$	−26.9164	+	19.5559i	−0.972529	+	0.706584i
$767$	−1.40983	−	1.02430i	−0.0509060	−	0.0369854i
$768$	4.50000	+	13.8496i	0.162380	+	0.499754i
$769$	−34.5066			−1.24434			−0.622170	−	0.782883i	$-0.713749\pi$
$769$	−34.5066			−1.24434			−0.622170	+	0.782883i	$0.713749\pi$
$770$	−4.11803	+	3.44095i	−0.148404	+	0.124003i
$771$	−29.7426			−1.07116
$772$	−4.71885	−	14.5231i	−0.169835	−	0.522698i
$773$	−21.9894	−	15.9762i	−0.790902	−	0.574624i	0.117329	−	0.993093i	$-0.462567\pi$
$773$	−21.9894	−	15.9762i	−0.790902	−	0.574624i	−0.908231	+	0.418469i	$0.862567\pi$
$774$	−14.2082	+	10.3229i	−0.510703	+	0.371048i
$775$	8.69098	−	26.7481i	0.312189	−	0.960820i
$776$	−18.1353	+	55.8146i	−0.651018	+	2.00363i
$777$	5.04508	−	3.66547i	0.180991	−	0.131498i
$778$	−77.8222	−	56.5411i	−2.79006	−	2.02710i
$779$	0.427051	+	1.31433i	0.0153007	+	0.0470907i
$780$	0.708204			0.0253578
$781$	−8.35410	+	33.2137i	−0.298933	+	1.18848i
$782$	0.708204			0.0253253
$783$	1.85410	+	5.70634i	0.0662602	+	0.203928i
$784$	47.8328	+	34.7526i	1.70831	+	1.24116i
$785$	7.85410	−	5.70634i	0.280325	−	0.203668i
$786$	−9.54508	+	29.3768i	−0.340462	+	1.04783i
$787$	−3.00000	+	9.23305i	−0.106938	+	0.329123i	−0.990181	−	0.139795i	$-0.955356\pi$
$787$	−3.00000	+	9.23305i	−0.106938	+	0.329123i	0.883242	+	0.468917i	$0.155356\pi$
$788$	−51.1869	+	37.1895i	−1.82346	+	1.32482i
$789$	−12.3541	−	8.97578i	−0.439818	−	0.319546i
$790$	5.50000	+	16.9273i	0.195681	+	0.602245i
$791$	−13.4721			−0.479014
$792$	6.04508	−	24.0337i	0.214803	−	0.854000i
$793$	−2.72949			−0.0969270
$794$	15.1353	+	46.5815i	0.537130	+	1.65312i
$795$	0.190983	+	0.138757i	0.00677347	+	0.00492121i
$796$	−26.3435	+	19.1396i	−0.933719	+	0.678387i
$797$	5.72949	−	17.6336i	0.202949	−	0.624613i	−0.796842	−	0.604187i	$-0.793498\pi$
$797$	5.72949	−	17.6336i	0.202949	−	0.624613i	0.999791	−	0.0204255i	$-0.00650208\pi$
$798$	−4.73607	+	14.5761i	−0.167655	+	0.515989i
$799$	−9.35410	+	6.79615i	−0.330924	+	0.240431i
$800$	−40.5517	−	29.4625i	−1.43372	−	1.04166i
$801$	−2.54508	−	7.83297i	−0.0899262	−	0.276764i
$802$	82.9574			2.92933
$803$	−14.5279	+	12.1392i	−0.512677	+	0.428384i
$804$	−9.00000			−0.317406
$805$	0.0450850	+	0.138757i	0.00158904	+	0.00489055i
$806$	−3.04508	−	2.21238i	−0.107259	−	0.0779279i
$807$	−20.5623	+	14.9394i	−0.723827	+	0.525891i
$808$	23.6353	−	72.7418i	0.831485	−	2.55905i
$809$	8.37132	−	25.7643i	0.294320	−	0.905824i	−0.689129	−	0.724639i	$-0.742007\pi$
$809$	8.37132	−	25.7643i	0.294320	−	0.905824i	0.983449	−	0.181185i	$-0.0579933\pi$
$810$	−1.30902	+	0.951057i	−0.0459942	+	0.0334167i
$811$	−29.5795	−	21.4908i	−1.03868	−	0.754644i	−0.0686507	−	0.997641i	$-0.521869\pi$
$811$	−29.5795	−	21.4908i	−1.03868	−	0.754644i	−0.970027	+	0.242997i	$0.921869\pi$
$812$	9.00000	+	27.6992i	0.315838	+	0.972050i
$813$	−18.6180			−0.652963
$814$	45.8607	+	28.7890i	1.60742	+	1.00905i
$815$	3.18034			0.111402
$816$	3.48936	+	10.7391i	0.122152	+	0.375945i
$817$	31.7705	+	23.0826i	1.11151	+	0.807559i
$818$	−13.7082	+	9.95959i	−0.479296	+	0.348229i
$819$	−0.0729490	+	0.224514i	−0.00254904	+	0.00784515i
$820$	−0.218847	+	0.673542i	−0.00764247	+	0.0235211i
$821$	−32.8435	+	23.8622i	−1.14624	+	0.832795i	−0.987977	−	0.154601i	$-0.950591\pi$
$821$	−32.8435	+	23.8622i	−1.14624	+	0.832795i	−0.158268	+	0.987396i	$0.550591\pi$
$822$	−20.6803	−	15.0251i	−0.721310	−	0.524062i
$823$	−8.60081	−	26.4706i	−0.299805	−	0.922706i	−0.981565	−	0.191130i	$-0.938785\pi$
$823$	−8.60081	−	26.4706i	−0.299805	−	0.922706i	0.681759	−	0.731577i	$-0.261215\pi$
$824$	81.7771			2.84884
$825$	−5.70820	−	14.2128i	−0.198734	−	0.494828i
$826$	19.3262			0.672446
$827$	−3.29180	−	10.1311i	−0.114467	−	0.352293i	0.877369	−	0.479817i	$-0.159297\pi$
$827$	−3.29180	−	10.1311i	−0.114467	−	0.352293i	−0.991835	+	0.127524i	$0.959297\pi$
$828$	−0.927051	−	0.673542i	−0.0322172	−	0.0234072i
$829$	25.3992	−	18.4536i	0.882150	−	0.640920i	−0.0516692	−	0.998664i	$-0.516454\pi$
$829$	25.3992	−	18.4536i	0.882150	−	0.640920i	0.933819	+	0.357745i	$0.116454\pi$
$830$	0.736068	−	2.26538i	0.0255493	−	0.0786326i
$831$	9.02786	−	27.7849i	0.313173	−	0.963848i
$832$	−1.66312	+	1.20833i	−0.0576583	+	0.0418912i
$833$	−5.56231	−	4.04125i	−0.192722	−	0.140021i
$834$	11.7812	+	36.2587i	0.407948	+	1.25553i
$835$	−7.43769			−0.257392
$836$	−94.0304	+	6.37988i	−3.25211	+	0.220653i
$837$	6.09017			0.210507
$838$	−25.4443	−	78.3094i	−0.878958	−	2.70515i
$839$	14.4271	+	10.4819i	0.498077	+	0.361874i	0.808282	−	0.588796i	$-0.200398\pi$
$839$	14.4271	+	10.4819i	0.498077	+	0.361874i	−0.310205	+	0.950670i	$0.600398\pi$
$840$	−3.73607	+	2.71441i	−0.128907	+	0.0936561i
$841$	2.16312	−	6.65740i	0.0745903	−	0.229565i
$842$	−8.50000	+	26.1603i	−0.292929	+	0.901544i
$843$	20.0344	−	14.5559i	0.690023	−	0.501331i
$844$	−14.2082	−	10.3229i	−0.489067	−	0.355328i
$845$	2.47214	+	7.60845i	0.0850441	+	0.261739i
$846$	26.4164			0.908215
$847$	7.94427	−	7.60845i	0.272968	−	0.261430i
$848$	−3.76393			−0.129254
$849$	1.76393	+	5.42882i	0.0605380	+	0.186317i
$850$	11.2082	+	8.14324i	0.384438	+	0.279311i
$851$	1.19098	−	0.865300i	0.0408264	−	0.0296621i
$852$	−15.4894	+	47.6713i	−0.530657	+	1.63319i
$853$	−17.2533	+	53.1002i	−0.590741	+	1.81811i	−0.0158658	+	0.999874i	$0.505050\pi$
$853$	−17.2533	+	53.1002i	−0.590741	+	1.81811i	−0.574876	+	0.818241i	$0.694950\pi$
$854$	24.4894	−	17.7926i	0.838009	−	0.608849i
$855$	2.92705	+	2.12663i	0.100103	+	0.0727291i
$856$	26.4894	+	81.5259i	0.905388	+	2.78650i
$857$	27.7639			0.948398			0.474199	−	0.880418i	$-0.342738\pi$
$857$	27.7639			0.948398			0.474199	+	0.880418i	$0.342738\pi$
$858$	−2.04508	+	0.138757i	−0.0698180	+	0.00473710i
$859$	−34.4164			−1.17427			−0.587136	−	0.809488i	$-0.699745\pi$
$859$	−34.4164			−1.17427			−0.587136	+	0.809488i	$0.699745\pi$
$860$	6.21885	+	19.1396i	0.212061	+	0.652656i
$861$	−0.190983	−	0.138757i	−0.00650868	−	0.00472884i
$862$	−12.5172	+	9.09429i	−0.426338	+	0.309753i
$863$	0.0344419	−	0.106001i	0.00117241	−	0.00360832i	−0.950469	−	0.310821i	$-0.899396\pi$
$863$	0.0344419	−	0.106001i	0.00117241	−	0.00360832i	0.951641	+	0.307212i	$0.0993962\pi$
$864$	3.35410	−	10.3229i	0.114109	−	0.351191i
$865$	−9.01722	+	6.55139i	−0.306595	+	0.222754i
$866$	74.7771	+	54.3287i	2.54103	+	1.84617i
$867$	4.84752	+	14.9191i	0.164631	+	0.506681i
$868$	29.5623			1.00341
$869$	−13.5967	−	33.8545i	−0.461238	−	1.14844i
$870$	9.70820			0.329139
$871$	0.135255	+	0.416272i	0.00458294	+	0.0141048i
$872$	−72.5410	−	52.7041i	−2.45655	−	1.78479i
$873$	−6.35410	+	4.61653i	−0.215054	+	0.156246i
$874$	−1.11803	+	3.44095i	−0.0378181	+	0.116392i
$875$	−1.83688	+	5.65334i	−0.0620979	+	0.191118i
$876$	−22.4164	+	16.2865i	−0.757380	+	0.550269i
$877$	46.8779	+	34.0588i	1.58295	+	1.15008i	0.913208	+	0.407493i	$0.133597\pi$
$877$	46.8779	+	34.0588i	1.58295	+	1.15008i	0.669746	+	0.742590i	$0.266403\pi$
$878$	−18.8435	−	57.9942i	−0.635936	−	1.95721i
$879$	21.6525			0.730320
$880$	−17.1074	−	10.7391i	−0.576690	−	0.362016i
$881$	6.20163			0.208938			0.104469	−	0.994528i	$-0.466686\pi$
$881$	6.20163			0.208938			0.104469	+	0.994528i	$0.466686\pi$
$882$	4.85410	+	14.9394i	0.163446	+	0.503035i
$883$	−0.854102	−	0.620541i	−0.0287428	−	0.0208829i	0.573321	−	0.819331i	$-0.305655\pi$
$883$	−0.854102	−	0.620541i	−0.0287428	−	0.0208829i	−0.602064	+	0.798448i	$0.705655\pi$
$884$	1.06231	−	0.771810i	0.0357292	−	0.0259588i
$885$	1.40983	−	4.33901i	0.0473909	−	0.145854i
$886$	25.5623	−	78.6727i	0.858782	−	2.64306i
$887$	44.0795	−	32.0257i	1.48005	−	1.07532i	0.502504	−	0.864575i	$-0.332412\pi$
$887$	44.0795	−	32.0257i	1.48005	−	1.07532i	0.977542	−	0.210741i	$-0.0675877\pi$
$888$	37.6976	+	27.3889i	1.26505	+	0.919111i
$889$	−2.38197	−	7.33094i	−0.0798886	−	0.245872i
$890$	−13.3262			−0.446697
$891$	2.54508	−	2.12663i	0.0852636	−	0.0712447i
$892$	34.8541			1.16700
$893$	−18.2533	−	56.1778i	−0.610823	−	1.87992i
$894$	8.97214	+	6.51864i	0.300073	+	0.218016i
$895$	−4.26393	+	3.09793i	−0.142528	+	0.103552i
$896$	0.336881	−	1.03681i	0.0112544	−	0.0346375i
$897$	−0.0172209	+	0.0530006i	−0.000574990	+	0.00176964i
$898$	−19.1803	+	13.9353i	−0.640056	+	0.465028i
$899$	−29.5623	−	21.4783i	−0.985958	−	0.716340i
$900$	−6.92705	−	21.3193i	−0.230902	−	0.710642i
$901$	0.437694			0.0145817
$902$	0.500000	−	1.98787i	0.0166482	−	0.0661888i
$903$	−6.70820			−0.223235
$904$	−31.1074	−	95.7387i	−1.03462	−	3.18422i
$905$	1.26393	+	0.918300i	0.0420145	+	0.0305253i
$906$	−2.23607	+	1.62460i	−0.0742884	+	0.0539737i
$907$	−13.1008	+	40.3202i	−0.435005	+	1.33881i	0.458076	+	0.888913i	$0.348539\pi$
$907$	−13.1008	+	40.3202i	−0.435005	+	1.33881i	−0.893081	+	0.449896i	$0.851461\pi$
$908$	19.7705	−	60.8474i	0.656107	−	2.01929i
$909$	8.28115	−	6.01661i	0.274669	−	0.199558i
$910$	0.309017	+	0.224514i	0.0102438	+	0.00744257i
$911$	11.9271	+	36.7077i	0.395161	+	1.21618i	0.928836	+	0.370491i	$0.120810\pi$
$911$	11.9271	+	36.7077i	0.395161	+	1.21618i	−0.533675	+	0.845689i	$0.679190\pi$
$912$	−57.6869			−1.91020
$913$	−1.19098	+	4.73504i	−0.0394158	+	0.156707i
$914$	−62.7771			−2.07648
$915$	−2.20820	−	6.79615i	−0.0730010	−	0.224674i
$916$	−1.85410	−	1.34708i	−0.0612613	−	0.0445089i
$917$	−9.54508	+	6.93491i	−0.315206	+	0.229011i
$918$	−0.927051	+	2.85317i	−0.0305972	+	0.0941686i
$919$	7.92705	−	24.3970i	0.261489	−	0.804781i	−0.730992	−	0.682386i	$-0.760942\pi$
$919$	7.92705	−	24.3970i	0.261489	−	0.804781i	0.992481	−	0.122395i	$-0.0390576\pi$
$920$	−0.881966	+	0.640786i	−0.0290776	+	0.0211261i
$921$	22.6353	+	16.4455i	0.745857	+	0.541897i
$922$	−7.50000	−	23.0826i	−0.246999	−	0.760186i
$923$	2.43769			0.0802377
$924$	12.3541	−	10.3229i	0.406420	−	0.339597i
$925$	28.7984			0.946885
$926$	−1.39919	−	4.30625i	−0.0459801	−	0.141512i
$927$	8.85410	+	6.43288i	0.290807	+	0.211284i
$928$	−52.6869	+	38.2793i	−1.72953	+	1.25658i
$929$	−3.92705	+	12.0862i	−0.128842	+	0.396536i	−0.994582	−	0.103959i	$-0.966849\pi$
$929$	−3.92705	+	12.0862i	−0.128842	+	0.396536i	0.865739	+	0.500495i	$0.166849\pi$
$930$	3.04508	−	9.37181i	0.0998523	−	0.307314i
$931$	28.4164	−	20.6457i	0.931310	−	0.676636i
$932$	16.2812	+	11.8290i	0.533307	+	0.387470i
$933$	−3.60081	−	11.0822i	−0.117885	−	0.362814i
$934$	−54.6869			−1.78941
$935$	1.98936	+	1.24882i	0.0650589	+	0.0408406i
$936$	−1.76393			−0.0576559
$937$	12.8713	+	39.6139i	0.420488	+	1.29413i	0.907249	+	0.420593i	$0.138178\pi$
$937$	12.8713	+	39.6139i	0.420488	+	1.29413i	−0.486761	+	0.873535i	$0.661822\pi$
$938$	−3.92705	−	2.85317i	−0.128223	−	0.0931593i
$939$	−2.04508	+	1.48584i	−0.0667388	+	0.0484886i
$940$	9.35410	−	28.7890i	0.305097	−	0.938993i
$941$	−4.46556	+	13.7436i	−0.145573	+	0.448028i	−0.997084	−	0.0763087i	$-0.975687\pi$
$941$	−4.46556	+	13.7436i	−0.145573	+	0.448028i	0.851511	+	0.524336i	$0.175687\pi$
$942$	−33.2705	+	24.1724i	−1.08401	+	0.787581i
$943$	−0.0450850	−	0.0327561i	−0.00146817	−	0.00106669i
$944$	22.4787	+	69.1824i	0.731620	+	2.25169i
$945$	−0.618034			−0.0201046
$946$	−21.7082	−	54.0512i	−0.705795	−	1.75736i
$947$	−32.3951			−1.05270			−0.526350	−	0.850268i	$-0.676440\pi$
$947$	−32.3951			−1.05270			−0.526350	+	0.850268i	$0.676440\pi$
$948$	−16.5000	−	50.7818i	−0.535895	−	1.64932i
$949$	1.09017	+	0.792055i	0.0353884	+	0.0257112i
$950$	−57.2599	+	41.6017i	−1.85776	+	1.34974i
$951$	2.10739	−	6.48588i	0.0683368	−	0.210319i
$952$	−2.64590	+	8.14324i	−0.0857540	+	0.263924i
$953$	−9.18034	+	6.66991i	−0.297380	+	0.216059i	−0.726463	−	0.687206i	$-0.758837\pi$
$953$	−9.18034	+	6.66991i	−0.297380	+	0.216059i	0.429082	+	0.903265i	$0.358837\pi$
$954$	−0.809017	−	0.587785i	−0.0261929	−	0.0190303i
$955$	0.156541	+	0.481784i	0.00506555	+	0.0155902i
$956$	1.85410			0.0599659
$957$	−19.8541	+	1.34708i	−0.641792	+	0.0435450i
$958$	74.3050			2.40068
$959$	−3.01722	−	9.28605i	−0.0974311	−	0.299862i
$960$	−4.35410	−	3.16344i	−0.140528	−	0.102100i
$961$	−4.92705	+	3.57971i	−0.158937	+	0.115475i
$962$	1.19098	−	3.66547i	0.0383988	−	0.118179i
$963$	−3.54508	+	10.9106i	−0.114239	+	0.351591i
$964$	−32.5623	+	23.6579i	−1.04876	+	0.761970i
$965$	−1.57295	−	1.14281i	−0.0506350	−	0.0367885i
$966$	−0.190983	−	0.587785i	−0.00614478	−	0.0189117i
$967$	43.9230			1.41247			0.706234	−	0.707978i	$-0.250393\pi$
$967$	43.9230			1.41247			0.706234	+	0.707978i	$0.250393\pi$
$968$	72.4123	+	38.8873i	2.32742	+	1.24989i
$969$	6.70820			0.215499
$970$	3.92705	+	12.0862i	0.126090	+	0.388065i
$971$	33.9787	+	24.6870i	1.09043	+	0.792243i	0.979472	−	0.201582i	$-0.0646083\pi$
$971$	33.9787	+	24.6870i	1.09043	+	0.792243i	0.110957	+	0.993825i	$0.464608\pi$
$972$	3.92705	−	2.85317i	0.125960	−	0.0915155i
$973$	−4.50000	+	13.8496i	−0.144263	+	0.443997i
$974$	10.2812	−	31.6421i	0.329429	−	1.01388i
$975$	−0.881966	+	0.640786i	−0.0282455	+	0.0205216i
$976$	92.1763	+	66.9700i	2.95049	+	2.14366i
$977$	−0.184405	−	0.567541i	−0.00589964	−	0.0181572i	0.948063	−	0.318082i	$-0.103039\pi$
$977$	−0.184405	−	0.567541i	−0.00589964	−	0.0181572i	−0.953963	+	0.299924i	$0.903039\pi$
$978$	−13.4721			−0.430791
$979$	27.2533	−	1.84911i	0.871019	−	0.0590979i
$980$	18.0000			0.574989
$981$	−3.70820	−	11.4127i	−0.118394	−	0.364379i
$982$	−37.9336	−	27.5604i	−1.21051	−	0.879488i
$983$	6.56231	−	4.76779i	0.209305	−	0.152069i	−0.478194	−	0.878254i	$-0.658708\pi$
$983$	6.56231	−	4.76779i	0.209305	−	0.152069i	0.687499	+	0.726185i	$0.258708\pi$
$984$	0.545085	−	1.67760i	0.0173767	−	0.0534799i
$985$	−2.48936	+	7.66145i	−0.0793175	+	0.244114i
$986$	14.5623	−	10.5801i	0.463758	−	0.336940i
$987$	8.16312	+	5.93085i	0.259835	+	0.188781i
$988$	2.07295	+	6.37988i	0.0659493	+	0.202971i
$989$	−1.58359			−0.0503553
$990$	−2.00000	−	4.97980i	−0.0635642	−	0.158268i
$991$	3.74265			0.118889			0.0594445	−	0.998232i	$-0.481067\pi$
$991$	3.74265			0.118889			0.0594445	+	0.998232i	$0.481067\pi$
$992$	20.4271	+	62.8680i	0.648560	+	1.99606i
$993$	13.5172	+	9.82084i	0.428956	+	0.311655i
$994$	−21.8713	+	15.8904i	−0.693716	+	0.504014i
$995$	−1.28115	+	3.94298i	−0.0406153	+	0.125001i
$996$	−2.20820	+	6.79615i	−0.0699696	+	0.215344i
$997$	17.1525	−	12.4620i	0.543224	−	0.394676i	−0.282057	−	0.959398i	$-0.591017\pi$
$997$	17.1525	−	12.4620i	0.543224	−	0.394676i	0.825281	+	0.564722i	$0.191017\pi$
$998$	−38.4336	−	27.9237i	−1.21660	−	0.883908i
$999$	1.92705	+	5.93085i	0.0609692	+	0.187644i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	33.2.e.b.16.1	✓	4
3.2	odd	2		99.2.f.a.82.1		4
4.3	odd	2		528.2.y.b.49.1		4
5.2	odd	4		825.2.bx.d.49.2		8
5.3	odd	4		825.2.bx.d.49.1		8
5.4	even	2		825.2.n.c.676.1		4
9.2	odd	6		891.2.n.b.676.1		8
9.4	even	3		891.2.n.c.379.1		8
9.5	odd	6		891.2.n.b.379.1		8
9.7	even	3		891.2.n.c.676.1		8
11.2	odd	10		363.2.e.f.130.1		4
11.3	even	5		363.2.a.d.1.1		2
11.4	even	5		363.2.e.k.124.1		4
11.5	even	5		363.2.e.k.202.1		4
11.6	odd	10		363.2.e.b.202.1		4
11.7	odd	10		363.2.e.b.124.1		4
11.8	odd	10		363.2.a.i.1.2		2
11.9	even	5	inner	33.2.e.b.31.1	yes	4
11.10	odd	2		363.2.e.f.148.1		4
33.8	even	10		1089.2.a.l.1.1		2
33.14	odd	10		1089.2.a.t.1.2		2
33.20	odd	10		99.2.f.a.64.1		4
44.3	odd	10		5808.2.a.cj.1.1		2
44.19	even	10		5808.2.a.ci.1.1		2
44.31	odd	10		528.2.y.b.97.1		4
55.9	even	10		825.2.n.c.526.1		4
55.14	even	10		9075.2.a.cb.1.2		2
55.19	odd	10		9075.2.a.u.1.1		2
55.42	odd	20		825.2.bx.d.724.1		8
55.53	odd	20		825.2.bx.d.724.2		8
99.20	odd	30		891.2.n.b.757.1		8
99.31	even	15		891.2.n.c.460.1		8
99.86	odd	30		891.2.n.b.460.1		8
99.97	even	15		891.2.n.c.757.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
33.2.e.b.16.1	✓	4	1.1	even	1	trivial
33.2.e.b.31.1	yes	4	11.9	even	5	inner
99.2.f.a.64.1		4	33.20	odd	10
99.2.f.a.82.1		4	3.2	odd	2
363.2.a.d.1.1		2	11.3	even	5
363.2.a.i.1.2		2	11.8	odd	10
363.2.e.b.124.1		4	11.7	odd	10
363.2.e.b.202.1		4	11.6	odd	10
363.2.e.f.130.1		4	11.2	odd	10
363.2.e.f.148.1		4	11.10	odd	2
363.2.e.k.124.1		4	11.4	even	5
363.2.e.k.202.1		4	11.5	even	5
528.2.y.b.49.1		4	4.3	odd	2
528.2.y.b.97.1		4	44.31	odd	10
825.2.n.c.526.1		4	55.9	even	10
825.2.n.c.676.1		4	5.4	even	2
825.2.bx.d.49.1		8	5.3	odd	4
825.2.bx.d.49.2		8	5.2	odd	4
825.2.bx.d.724.1		8	55.42	odd	20
825.2.bx.d.724.2		8	55.53	odd	20
891.2.n.b.379.1		8	9.5	odd	6
891.2.n.b.460.1		8	99.86	odd	30
891.2.n.b.676.1		8	9.2	odd	6
891.2.n.b.757.1		8	99.20	odd	30
891.2.n.c.379.1		8	9.4	even	3
891.2.n.c.460.1		8	99.31	even	15
891.2.n.c.676.1		8	9.7	even	3
891.2.n.c.757.1		8	99.97	even	15
1089.2.a.l.1.1		2	33.8	even	10
1089.2.a.t.1.2		2	33.14	odd	10
5808.2.a.ci.1.1		2	44.19	even	10
5808.2.a.cj.1.1		2	44.3	odd	10
9075.2.a.u.1.1		2	55.19	odd	10
9075.2.a.cb.1.2		2	55.14	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:	\( N \)	\(=\)	\( 33 = 3 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	33.e (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 2.48990i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-3.92705 + 2.85317i) q^{4} +(-0.190983 + 0.587785i) q^{5} +(0.809017 - 2.48990i) q^{6} +(0.809017 - 0.587785i) q^{7} +(6.04508 + 4.39201i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 2.48990i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-3.92705 + 2.85317i) q^{4} +(-0.190983 + 0.587785i) q^{5} +(0.809017 - 2.48990i) q^{6} +(0.809017 - 0.587785i) q^{7} +(6.04508 + 4.39201i) q^{8} +(0.309017 + 0.951057i) q^{9} +1.61803 q^{10} +(-3.30902 + 0.224514i) q^{11} -4.85410 q^{12} +(0.0729490 + 0.224514i) q^{13} +(-2.11803 - 1.53884i) q^{14} +(-0.500000 + 0.363271i) q^{15} +(3.04508 - 9.37181i) q^{16} +(-0.354102 + 1.08981i) q^{17} +(2.11803 - 1.53884i) q^{18} +(-4.73607 - 3.44095i) q^{19} +(-0.927051 - 2.85317i) q^{20} +1.00000 q^{21} +(3.23607 + 8.05748i) q^{22} +0.236068 q^{23} +(2.30902 + 7.10642i) q^{24} +(3.73607 + 2.71441i) q^{25} +(0.500000 - 0.363271i) q^{26} +(-0.309017 + 0.951057i) q^{27} +(-1.50000 + 4.61653i) q^{28} +(4.85410 - 3.52671i) q^{29} +(1.30902 + 0.951057i) q^{30} +(-1.88197 - 5.79210i) q^{31} -10.8541 q^{32} +(-2.80902 - 1.76336i) q^{33} +3.00000 q^{34} +(0.190983 + 0.587785i) q^{35} +(-3.92705 - 2.85317i) q^{36} +(5.04508 - 3.66547i) q^{37} +(-4.73607 + 14.5761i) q^{38} +(-0.0729490 + 0.224514i) q^{39} +(-3.73607 + 2.71441i) q^{40} +(-0.190983 - 0.138757i) q^{41} +(-0.809017 - 2.48990i) q^{42} -6.70820 q^{43} +(12.3541 - 10.3229i) q^{44} -0.618034 q^{45} +(-0.190983 - 0.587785i) q^{46} +(8.16312 + 5.93085i) q^{47} +(7.97214 - 5.79210i) q^{48} +(-1.85410 + 5.70634i) q^{49} +(3.73607 - 11.4984i) q^{50} +(-0.927051 + 0.673542i) q^{51} +(-0.927051 - 0.673542i) q^{52} +(-0.118034 - 0.363271i) q^{53} +2.61803 q^{54} +(0.500000 - 1.98787i) q^{55} +7.47214 q^{56} +(-1.80902 - 5.56758i) q^{57} +(-12.7082 - 9.23305i) q^{58} +(-5.97214 + 4.33901i) q^{59} +(0.927051 - 2.85317i) q^{60} +(-3.57295 + 10.9964i) q^{61} +(-12.8992 + 9.37181i) q^{62} +(0.809017 + 0.587785i) q^{63} +(2.69098 + 8.28199i) q^{64} -0.145898 q^{65} +(-2.11803 + 8.42075i) q^{66} +1.85410 q^{67} +(-1.71885 - 5.29007i) q^{68} +(0.190983 + 0.138757i) q^{69} +(1.30902 - 0.951057i) q^{70} +(3.19098 - 9.82084i) q^{71} +(-2.30902 + 7.10642i) q^{72} +(4.61803 - 3.35520i) q^{73} +(-13.2082 - 9.59632i) q^{74} +(1.42705 + 4.39201i) q^{75} +28.4164 q^{76} +(-2.54508 + 2.12663i) q^{77} +0.618034 q^{78} +(3.39919 + 10.4616i) q^{79} +(4.92705 + 3.57971i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-0.190983 + 0.587785i) q^{82} +(0.454915 - 1.40008i) q^{83} +(-3.92705 + 2.85317i) q^{84} +(-0.572949 - 0.416272i) q^{85} +(5.42705 + 16.7027i) q^{86} +6.00000 q^{87} +(-20.9894 - 13.1760i) q^{88} -8.23607 q^{89} +(0.500000 + 1.53884i) q^{90} +(0.190983 + 0.138757i) q^{91} +(-0.927051 + 0.673542i) q^{92} +(1.88197 - 5.79210i) q^{93} +(8.16312 - 25.1235i) q^{94} +(2.92705 - 2.12663i) q^{95} +(-8.78115 - 6.37988i) q^{96} +(2.42705 + 7.46969i) q^{97} +15.7082 q^{98} +(-1.23607 - 3.07768i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q - q^{2} + q^{3} - 9 q^{4} - 3 q^{5} + q^{6} + q^{7} + 13 q^{8} - q^{9}+O(q^{10}) \) 4 * q - q^2 + q^3 - 9 * q^4 - 3 * q^5 + q^6 + q^7 + 13 * q^8 - q^9	\( 4 q - q^{2} + q^{3} - 9 q^{4} - 3 q^{5} + q^{6} + q^{7} + 13 q^{8} - q^{9} + 2 q^{10} - 11 q^{11} - 6 q^{12} + 7 q^{13} - 4 q^{14} - 2 q^{15} + q^{16} + 12 q^{17} + 4 q^{18} - 10 q^{19} + 3 q^{20} + 4 q^{21} + 4 q^{22} - 8 q^{23} + 7 q^{24} + 6 q^{25} + 2 q^{26} + q^{27} - 6 q^{28} + 6 q^{29} + 3 q^{30} - 12 q^{31} - 30 q^{32} - 9 q^{33} + 12 q^{34} + 3 q^{35} - 9 q^{36} + 9 q^{37} - 10 q^{38} - 7 q^{39} - 6 q^{40} - 3 q^{41} - q^{42} + 36 q^{44} + 2 q^{45} - 3 q^{46} + 17 q^{47} + 14 q^{48} + 6 q^{49} + 6 q^{50} + 3 q^{51} + 3 q^{52} + 4 q^{53} + 6 q^{54} + 2 q^{55} + 12 q^{56} - 5 q^{57} - 24 q^{58} - 6 q^{59} - 3 q^{60} - 21 q^{61} - 27 q^{62} + q^{63} + 13 q^{64} - 14 q^{65} - 4 q^{66} - 6 q^{67} - 27 q^{68} + 3 q^{69} + 3 q^{70} + 15 q^{71} - 7 q^{72} + 14 q^{73} - 26 q^{74} - q^{75} + 60 q^{76} + q^{77} - 2 q^{78} - 11 q^{79} + 13 q^{80} - q^{81} - 3 q^{82} + 13 q^{83} - 9 q^{84} - 9 q^{85} + 15 q^{86} + 24 q^{87} - 37 q^{88} - 24 q^{89} + 2 q^{90} + 3 q^{91} + 3 q^{92} + 12 q^{93} + 17 q^{94} + 5 q^{95} - 15 q^{96} + 3 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) \) 4 * q - q^2 + q^3 - 9 * q^4 - 3 * q^5 + q^6 + q^7 + 13 * q^8 - q^9 + 2 * q^10 - 11 * q^11 - 6 * q^12 + 7 * q^13 - 4 * q^14 - 2 * q^15 + q^16 + 12 * q^17 + 4 * q^18 - 10 * q^19 + 3 * q^20 + 4 * q^21 + 4 * q^22 - 8 * q^23 + 7 * q^24 + 6 * q^25 + 2 * q^26 + q^27 - 6 * q^28 + 6 * q^29 + 3 * q^30 - 12 * q^31 - 30 * q^32 - 9 * q^33 + 12 * q^34 + 3 * q^35 - 9 * q^36 + 9 * q^37 - 10 * q^38 - 7 * q^39 - 6 * q^40 - 3 * q^41 - q^42 + 36 * q^44 + 2 * q^45 - 3 * q^46 + 17 * q^47 + 14 * q^48 + 6 * q^49 + 6 * q^50 + 3 * q^51 + 3 * q^52 + 4 * q^53 + 6 * q^54 + 2 * q^55 + 12 * q^56 - 5 * q^57 - 24 * q^58 - 6 * q^59 - 3 * q^60 - 21 * q^61 - 27 * q^62 + q^63 + 13 * q^64 - 14 * q^65 - 4 * q^66 - 6 * q^67 - 27 * q^68 + 3 * q^69 + 3 * q^70 + 15 * q^71 - 7 * q^72 + 14 * q^73 - 26 * q^74 - q^75 + 60 * q^76 + q^77 - 2 * q^78 - 11 * q^79 + 13 * q^80 - q^81 - 3 * q^82 + 13 * q^83 - 9 * q^84 - 9 * q^85 + 15 * q^86 + 24 * q^87 - 37 * q^88 - 24 * q^89 + 2 * q^90 + 3 * q^91 + 3 * q^92 + 12 * q^93 + 17 * q^94 + 5 * q^95 - 15 * q^96 + 3 * q^97 + 36 * q^98 + 4 * q^99

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