LMFDB - Embedded newform 429.2.n.b.313.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(157,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 8, 0]))

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

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

chi := DirichletCharacter("429.157");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.n (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:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} - x^{19} + 4 x^{18} + 4 x^{17} + 37 x^{16} - 74 x^{15} + 398 x^{14} - 224 x^{13} + 978 x^{12} + \cdots + 121 $ x^20 - x^19 + 4x^18 + 4x^17 + 37x^16 - 74x^15 + 398x^14 - 224x^13 + 978x^12 + 115x^11 + 1963x^10 + 323x^9 + 3007x^8 + 1828x^7 + 6736x^6 + 4512x^5 + 5197x^4 + 2152x^3 + 1259x^2 + 495x + 121
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			313.5
Root			$0.711066 - 2.18844i$ of defining polynomial
Character	$\chi$	$=$	429.313
Dual form			429.2.n.b.196.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.711066 + 2.18844i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-2.66560 + 1.93667i) q^{4} +(-0.951111 + 2.92722i) q^{5} +(-0.711066 + 2.18844i) q^{6} +(-0.0471527 + 0.0342585i) q^{7} +(-2.41051 - 1.75134i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(0.711066 + 2.18844i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-2.66560 + 1.93667i) q^{4} +(-0.951111 + 2.92722i) q^{5} +(-0.711066 + 2.18844i) q^{6} +(-0.0471527 + 0.0342585i) q^{7} +(-2.41051 - 1.75134i) q^{8} +(0.309017 + 0.951057i) q^{9} -7.08233 q^{10} +(2.87459 - 1.65430i) q^{11} -3.29486 q^{12} +(-0.309017 - 0.951057i) q^{13} +(-0.108501 - 0.0788307i) q^{14} +(-2.49004 + 1.80912i) q^{15} +(0.0823200 - 0.253355i) q^{16} +(1.21624 - 3.74320i) q^{17} +(-1.86159 + 1.35253i) q^{18} +(-1.87826 - 1.36464i) q^{19} +(-3.13378 - 9.64478i) q^{20} -0.0582840 q^{21} +(5.66436 + 5.11454i) q^{22} +2.01678 q^{23} +(-0.920732 - 2.83372i) q^{24} +(-3.61891 - 2.62929i) q^{25} +(1.86159 - 1.35253i) q^{26} +(-0.309017 + 0.951057i) q^{27} +(0.0593429 - 0.182639i) q^{28} +(0.807115 - 0.586403i) q^{29} +(-5.72973 - 4.16289i) q^{30} +(0.329301 + 1.01348i) q^{31} -5.34612 q^{32} +(3.29797 + 0.351286i) q^{33} +9.05658 q^{34} +(-0.0554346 - 0.170610i) q^{35} +(-2.66560 - 1.93667i) q^{36} +(-4.39414 + 3.19253i) q^{37} +(1.65085 - 5.08081i) q^{38} +(0.309017 - 0.951057i) q^{39} +(7.41921 - 5.39037i) q^{40} +(6.00896 + 4.36576i) q^{41} +(-0.0414438 - 0.127551i) q^{42} -3.88992 q^{43} +(-4.45868 + 9.97685i) q^{44} -3.07786 q^{45} +(1.43406 + 4.41359i) q^{46} +(9.32218 + 6.77296i) q^{47} +(0.215517 - 0.156582i) q^{48} +(-2.16207 + 6.65416i) q^{49} +(3.18075 - 9.78936i) q^{50} +(3.18416 - 2.31343i) q^{51} +(2.66560 + 1.93667i) q^{52} +(-3.14111 - 9.66734i) q^{53} -2.30106 q^{54} +(2.10844 + 9.98799i) q^{55} +0.173660 q^{56} +(-0.717433 - 2.20803i) q^{57} +(1.85722 + 1.34935i) q^{58} +(7.63001 - 5.54353i) q^{59} +(3.13378 - 9.64478i) q^{60} +(-0.782186 + 2.40732i) q^{61} +(-1.98379 + 1.44131i) q^{62} +(-0.0471527 - 0.0342585i) q^{63} +(-3.96608 - 12.2063i) q^{64} +3.07786 q^{65} +(1.57631 + 7.46718i) q^{66} +11.7788 q^{67} +(4.00735 + 12.3333i) q^{68} +(1.63161 + 1.18543i) q^{69} +(0.333951 - 0.242630i) q^{70} +(-1.42096 + 4.37326i) q^{71} +(0.920732 - 2.83372i) q^{72} +(8.18380 - 5.94588i) q^{73} +(-10.1112 - 7.34619i) q^{74} +(-1.38230 - 4.25429i) q^{75} +7.64956 q^{76} +(-0.0788711 + 0.176484i) q^{77} +2.30106 q^{78} +(-4.35800 - 13.4126i) q^{79} +(0.663330 + 0.481937i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-5.28142 + 16.2546i) q^{82} +(0.166407 - 0.512149i) q^{83} +(0.155362 - 0.112877i) q^{84} +(9.80040 + 7.12040i) q^{85} +(-2.76599 - 8.51283i) q^{86} +0.997649 q^{87} +(-9.82647 - 1.04667i) q^{88} -9.66272 q^{89} +(-2.18856 - 6.73570i) q^{90} +(0.0471527 + 0.0342585i) q^{91} +(-5.37592 + 3.90584i) q^{92} +(-0.329301 + 1.01348i) q^{93} +(-8.19350 + 25.2170i) q^{94} +(5.78104 - 4.20017i) q^{95} +(-4.32510 - 3.14237i) q^{96} +(-1.08328 - 3.33399i) q^{97} -16.0996 q^{98} +(2.46163 + 2.22269i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q + q^{2} + 5 q^{3} + 3 q^{4} + 4 q^{5} - q^{6} - 3 q^{7} - 7 q^{8} - 5 q^{9}+O(q^{10}) $ 20 * q + q^2 + 5 * q^3 + 3 * q^4 + 4 * q^5 - q^6 - 3 * q^7 - 7 * q^8 - 5 * q^9	\( 20 q + q^{2} + 5 q^{3} + 3 q^{4} + 4 q^{5} - q^{6} - 3 q^{7} - 7 q^{8} - 5 q^{9} - 2 q^{10} + 14 q^{11} - 18 q^{12} + 5 q^{13} - q^{14} - 4 q^{15} - 35 q^{16} + 2 q^{17} - 4 q^{18} - 2 q^{19} + 45 q^{20} - 2 q^{21} + 11 q^{22} + 6 q^{23} + 2 q^{24} - 7 q^{25} + 4 q^{26} + 5 q^{27} + 12 q^{28} + 26 q^{29} - 3 q^{30} + 20 q^{31} + 42 q^{32} + q^{33} - 24 q^{34} - 18 q^{35} + 3 q^{36} - 6 q^{37} - 3 q^{38} - 5 q^{39} - 26 q^{41} - 9 q^{42} + 28 q^{43} - 38 q^{44} - 16 q^{45} - 17 q^{46} + 8 q^{47} - 20 q^{48} + 2 q^{49} - 29 q^{50} + 3 q^{51} - 3 q^{52} + q^{53} - 6 q^{54} - 36 q^{56} - 8 q^{57} + 22 q^{58} - 21 q^{59} - 45 q^{60} + 26 q^{61} - 10 q^{62} - 3 q^{63} - 87 q^{64} + 16 q^{65} + 14 q^{66} + 56 q^{67} + 65 q^{68} + 4 q^{69} - 24 q^{70} - 28 q^{71} - 2 q^{72} + 45 q^{73} - 29 q^{74} - 3 q^{75} + 60 q^{76} + 4 q^{77} + 6 q^{78} - 15 q^{79} - 7 q^{80} - 5 q^{81} - 46 q^{82} + 36 q^{83} + 8 q^{84} + 39 q^{86} + 24 q^{87} + 73 q^{88} - 126 q^{89} - 2 q^{90} + 3 q^{91} + 2 q^{92} - 20 q^{93} - 3 q^{94} + 47 q^{95} - 47 q^{96} + 18 q^{97} - 54 q^{98} - 16 q^{99}+O(q^{100}) \) 20 * q + q^2 + 5 * q^3 + 3 * q^4 + 4 * q^5 - q^6 - 3 * q^7 - 7 * q^8 - 5 * q^9 - 2 * q^10 + 14 * q^11 - 18 * q^12 + 5 * q^13 - q^14 - 4 * q^15 - 35 * q^16 + 2 * q^17 - 4 * q^18 - 2 * q^19 + 45 * q^20 - 2 * q^21 + 11 * q^22 + 6 * q^23 + 2 * q^24 - 7 * q^25 + 4 * q^26 + 5 * q^27 + 12 * q^28 + 26 * q^29 - 3 * q^30 + 20 * q^31 + 42 * q^32 + q^33 - 24 * q^34 - 18 * q^35 + 3 * q^36 - 6 * q^37 - 3 * q^38 - 5 * q^39 - 26 * q^41 - 9 * q^42 + 28 * q^43 - 38 * q^44 - 16 * q^45 - 17 * q^46 + 8 * q^47 - 20 * q^48 + 2 * q^49 - 29 * q^50 + 3 * q^51 - 3 * q^52 + q^53 - 6 * q^54 - 36 * q^56 - 8 * q^57 + 22 * q^58 - 21 * q^59 - 45 * q^60 + 26 * q^61 - 10 * q^62 - 3 * q^63 - 87 * q^64 + 16 * q^65 + 14 * q^66 + 56 * q^67 + 65 * q^68 + 4 * q^69 - 24 * q^70 - 28 * q^71 - 2 * q^72 + 45 * q^73 - 29 * q^74 - 3 * q^75 + 60 * q^76 + 4 * q^77 + 6 * q^78 - 15 * q^79 - 7 * q^80 - 5 * q^81 - 46 * q^82 + 36 * q^83 + 8 * q^84 + 39 * q^86 + 24 * q^87 + 73 * q^88 - 126 * q^89 - 2 * q^90 + 3 * q^91 + 2 * q^92 - 20 * q^93 - 3 * q^94 + 47 * q^95 - 47 * q^96 + 18 * q^97 - 54 * q^98 - 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$1$	$e\left(\frac{2}{5}\right)$	$1$

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 $

$2$	0.711066	+	2.18844i	0.502799	+	1.54746i	0.804439	+	0.594035i	$0.202466\pi$
$2$	0.711066	+	2.18844i	0.502799	+	1.54746i	−0.301640	+	0.953422i	$0.597534\pi$
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$4$	−2.66560	+	1.93667i	−1.33280	+	0.968336i
$5$	−0.951111	+	2.92722i	−0.425350	+	1.30909i	0.477309	+	0.878735i	$0.341612\pi$
$5$	−0.951111	+	2.92722i	−0.425350	+	1.30909i	−0.902659	+	0.430357i	$0.858388\pi$
$6$	−0.711066	+	2.18844i	−0.290291	+	0.893425i
$7$	−0.0471527	+	0.0342585i	−0.0178221	+	0.0129485i	−0.596661	−	0.802494i	$-0.703506\pi$
$7$	−0.0471527	+	0.0342585i	−0.0178221	+	0.0129485i	0.578839	+	0.815442i	$0.303506\pi$
$8$	−2.41051	−	1.75134i	−0.852243	−	0.619191i
$9$	0.309017	+	0.951057i	0.103006	+	0.317019i
$10$	−7.08233			−2.23963
$11$	2.87459	−	1.65430i	0.866723	−	0.498791i
$11$	2.87459	−	1.65430i	0.866723	−	0.498791i
$12$	−3.29486			−0.951145
$13$	−0.309017	−	0.951057i	−0.0857059	−	0.263776i
$13$	−0.309017	−	0.951057i	−0.0857059	−	0.263776i
$14$	−0.108501	−	0.0788307i	−0.0289982	−	0.0210684i
$15$	−2.49004	+	1.80912i	−0.642926	+	0.467113i
$16$	0.0823200	−	0.253355i	0.0205800	−	0.0633387i
$17$	1.21624	−	3.74320i	0.294982	−	0.907860i	−0.688246	−	0.725477i	$-0.741619\pi$
$17$	1.21624	−	3.74320i	0.294982	−	0.907860i	0.983228	−	0.182383i	$-0.0583810\pi$
$18$	−1.86159	+	1.35253i	−0.438782	+	0.318794i
$19$	−1.87826	−	1.36464i	−0.430903	−	0.313070i	0.351107	−	0.936335i	$-0.385805\pi$
$19$	−1.87826	−	1.36464i	−0.430903	−	0.313070i	−0.782010	+	0.623266i	$0.785805\pi$
$20$	−3.13378	−	9.64478i	−0.700735	−	2.15664i
$21$	−0.0582840			−0.0127186
$22$	5.66436	+	5.11454i	1.20764	+	1.09042i
$23$	2.01678			0.420527			0.210264	−	0.977645i	$-0.432568\pi$
$23$	2.01678			0.420527			0.210264	+	0.977645i	$0.432568\pi$
$24$	−0.920732	−	2.83372i	−0.187944	−	0.578431i
$25$	−3.61891	−	2.62929i	−0.723783	−	0.525859i
$26$	1.86159	−	1.35253i	0.365089	−	0.265252i
$27$	−0.309017	+	0.951057i	−0.0594703	+	0.183031i
$28$	0.0593429	−	0.182639i	0.0112148	−	0.0345155i
$29$	0.807115	−	0.586403i	0.149877	−	0.108892i	−0.510319	−	0.859985i	$-0.670473\pi$
$29$	0.807115	−	0.586403i	0.149877	−	0.108892i	0.660197	+	0.751093i	$0.270473\pi$
$30$	−5.72973	−	4.16289i	−1.04610	−	0.760036i
$31$	0.329301	+	1.01348i	0.0591441	+	0.182027i	0.976264	−	0.216585i	$-0.0694919\pi$
$31$	0.329301	+	1.01348i	0.0591441	+	0.182027i	−0.917120	+	0.398612i	$0.869492\pi$
$32$	−5.34612			−0.945069
$33$	3.29797	+	0.351286i	0.574103	+	0.0611510i
$34$	9.05658			1.55319
$35$	−0.0554346	−	0.170610i	−0.00937015	−	0.0288384i
$36$	−2.66560	−	1.93667i	−0.444267	−	0.322779i
$37$	−4.39414	+	3.19253i	−0.722392	+	0.524849i	−0.887148	−	0.461486i	$-0.847317\pi$
$37$	−4.39414	+	3.19253i	−0.722392	+	0.524849i	0.164755	+	0.986334i	$0.447317\pi$
$38$	1.65085	−	5.08081i	0.267804	−	0.824216i
$39$	0.309017	−	0.951057i	0.0494823	−	0.152291i
$40$	7.41921	−	5.39037i	1.17308	−	0.852292i
$41$	6.00896	+	4.36576i	0.938441	+	0.681818i	0.948045	−	0.318136i	$-0.103057\pi$
$41$	6.00896	+	4.36576i	0.938441	+	0.681818i	−0.00960363	+	0.999954i	$0.503057\pi$
$42$	−0.0414438	−	0.127551i	−0.00639491	−	0.0196815i
$43$	−3.88992			−0.593206			−0.296603	−	0.955001i	$-0.595854\pi$
$43$	−3.88992			−0.593206			−0.296603	+	0.955001i	$0.595854\pi$
$44$	−4.45868	+	9.97685i	−0.672171	+	1.50407i
$45$	−3.07786			−0.458820
$46$	1.43406	+	4.41359i	0.211441	+	0.650748i
$47$	9.32218	+	6.77296i	1.35978	+	0.987938i	0.998459	+	0.0554964i	$0.0176741\pi$
$47$	9.32218	+	6.77296i	1.35978	+	0.987938i	0.361321	+	0.932441i	$0.382326\pi$
$48$	0.215517	−	0.156582i	0.0311071	−	0.0226007i
$49$	−2.16207	+	6.65416i	−0.308867	+	0.950595i
$50$	3.18075	−	9.78936i	0.449827	−	1.38442i
$51$	3.18416	−	2.31343i	0.445871	−	0.323945i
$52$	2.66560	+	1.93667i	0.369652	+	0.268568i
$53$	−3.14111	−	9.66734i	−0.431465	−	1.32791i	−0.896666	−	0.442707i	$-0.854018\pi$
$53$	−3.14111	−	9.66734i	−0.431465	−	1.32791i	0.465202	−	0.885205i	$-0.345982\pi$
$54$	−2.30106			−0.313134
$55$	2.10844	+	9.98799i	0.284303	+	1.34678i
$56$	0.173660			0.0232063
$57$	−0.717433	−	2.20803i	−0.0950264	−	0.292461i
$58$	1.85722	+	1.34935i	0.243865	+	0.177178i
$59$	7.63001	−	5.54353i	0.993343	−	0.721706i	0.0326921	−	0.999465i	$-0.489592\pi$
$59$	7.63001	−	5.54353i	0.993343	−	0.721706i	0.960651	+	0.277760i	$0.0895919\pi$
$60$	3.13378	−	9.64478i	0.404569	−	1.24514i
$61$	−0.782186	+	2.40732i	−0.100149	+	0.308226i	−0.988561	−	0.150820i	$-0.951809\pi$
$61$	−0.782186	+	2.40732i	−0.100149	+	0.308226i	0.888413	+	0.459046i	$0.151809\pi$
$62$	−1.98379	+	1.44131i	−0.251941	+	0.183046i
$63$	−0.0471527	−	0.0342585i	−0.00594069	−	0.00431616i
$64$	−3.96608	−	12.2063i	−0.495760	−	1.52579i
$65$	3.07786			0.381762
$66$	1.57631	+	7.46718i	0.194030	+	0.919146i
$67$	11.7788			1.43901			0.719504	−	0.694489i	$-0.244369\pi$
$67$	11.7788			1.43901			0.719504	+	0.694489i	$0.244369\pi$
$68$	4.00735	+	12.3333i	0.485962	+	1.49564i
$69$	1.63161	+	1.18543i	0.196422	+	0.142709i
$70$	0.333951	−	0.242630i	0.0399148	−	0.0289998i
$71$	−1.42096	+	4.37326i	−0.168637	+	0.519010i	−0.999286	−	0.0377860i	$-0.987969\pi$
$71$	−1.42096	+	4.37326i	−0.168637	+	0.519010i	0.830649	+	0.556796i	$0.187969\pi$
$72$	0.920732	−	2.83372i	0.108509	−	0.333957i
$73$	8.18380	−	5.94588i	0.957841	−	0.695912i	0.00519286	−	0.999987i	$-0.498347\pi$
$73$	8.18380	−	5.94588i	0.957841	−	0.695912i	0.952648	+	0.304074i	$0.0983471\pi$
$74$	−10.1112	−	7.34619i	−1.17540	−	0.853978i
$75$	−1.38230	−	4.25429i	−0.159614	−	0.491243i
$76$	7.64956			0.877465
$77$	−0.0788711	+	0.176484i	−0.00898820	+	0.0201122i
$78$	2.30106			0.260543
$79$	−4.35800	−	13.4126i	−0.490314	−	1.50903i	−0.824135	−	0.566394i	$-0.808338\pi$
$79$	−4.35800	−	13.4126i	−0.490314	−	1.50903i	0.333821	−	0.942636i	$-0.391662\pi$
$80$	0.663330	+	0.481937i	0.0741625	+	0.0538822i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$	−5.28142	+	16.2546i	−0.583236	+	1.79502i
$83$	0.166407	−	0.512149i	0.0182656	−	0.0562156i	−0.941508	−	0.336990i	$-0.890591\pi$
$83$	0.166407	−	0.512149i	0.0182656	−	0.0562156i	0.959774	+	0.280774i	$0.0905912\pi$
$84$	0.155362	−	0.112877i	0.0169514	−	0.0123159i
$85$	9.80040	+	7.12040i	1.06300	+	0.772316i
$86$	−2.76599	−	8.51283i	−0.298264	−	0.917962i
$87$	0.997649			0.106959
$88$	−9.82647	−	1.04667i	−1.04751	−	0.111576i
$89$	−9.66272			−1.02425			−0.512123	−	0.858912i	$-0.671141\pi$
$89$	−9.66272			−1.02425			−0.512123	+	0.858912i	$0.671141\pi$
$90$	−2.18856	−	6.73570i	−0.230695	−	0.710005i
$91$	0.0471527	+	0.0342585i	0.00494295	+	0.00359126i
$92$	−5.37592	+	3.90584i	−0.560479	+	0.407212i
$93$	−0.329301	+	1.01348i	−0.0341469	+	0.105093i
$94$	−8.19350	+	25.2170i	−0.845095	+	2.60094i
$95$	5.78104	−	4.20017i	0.593122	−	0.430928i
$96$	−4.32510	−	3.14237i	−0.441429	−	0.320717i
$97$	−1.08328	−	3.33399i	−0.109990	−	0.338516i	0.880879	−	0.473342i	$-0.156952\pi$
$97$	−1.08328	−	3.33399i	−0.109990	−	0.338516i	−0.990869	+	0.134826i	$0.956952\pi$
$98$	−16.0996			−1.62630
$99$	2.46163	+	2.22269i	0.247403	+	0.223389i
$100$	14.7387			1.47387
$101$	−0.103480	−	0.318480i	−0.0102967	−	0.0316899i	0.945776	−	0.324819i	$-0.105303\pi$
$101$	−0.103480	−	0.318480i	−0.0102967	−	0.0316899i	−0.956073	+	0.293129i	$0.905303\pi$
$102$	7.32693	+	5.32333i	0.725474	+	0.527088i
$103$	−8.30575	+	6.03448i	−0.818390	+	0.594595i	−0.916251	−	0.400605i	$-0.868800\pi$
$103$	−8.30575	+	6.03448i	−0.818390	+	0.594595i	0.0978612	+	0.995200i	$0.468800\pi$
$104$	−0.920732	+	2.83372i	−0.0902852	+	0.277869i
$105$	0.0554346	−	0.170610i	0.00540986	−	0.0166498i
$106$	18.9228	−	13.7482i	1.83795	−	1.33535i
$107$	9.66392	+	7.02125i	0.934246	+	0.678769i	0.947029	−	0.321149i	$-0.104069\pi$
$107$	9.66392	+	7.02125i	0.934246	+	0.678769i	−0.0127828	+	0.999918i	$0.504069\pi$
$108$	−1.01817	−	3.13360i	−0.0979733	−	0.301531i
$109$	5.28695			0.506398			0.253199	−	0.967414i	$-0.418517\pi$
$109$	5.28695			0.506398			0.253199	+	0.967414i	$0.418517\pi$
$110$	−20.3588	+	11.7163i	−1.94114	+	1.11711i
$111$	−5.43146			−0.515531
$112$	0.00479794	+	0.0147665i	0.000453363	+	0.00139531i
$113$	−13.7169	−	9.96591i	−1.29038	−	0.937514i	−0.290564	−	0.956855i	$-0.593843\pi$
$113$	−13.7169	−	9.96591i	−1.29038	−	0.937514i	−0.999813	+	0.0193416i	$0.993843\pi$
$114$	4.32199	−	3.14011i	0.404792	−	0.294098i
$115$	−1.91818	+	5.90355i	−0.178871	+	0.550509i
$116$	−1.01577	+	3.12623i	−0.0943123	+	0.290263i
$117$	0.809017	−	0.587785i	0.0747936	−	0.0543408i
$118$	17.5571	+	12.7560i	1.61626	+	1.17428i
$119$	0.0708874	+	0.218169i	0.00649823	+	0.0199995i
$120$	9.17064			0.837161
$121$	5.52657	−	9.51089i	0.502416	−	0.864626i
$122$	−5.82445			−0.527321
$123$	2.29522	+	7.06395i	0.206953	+	0.636935i
$124$	−2.84057	−	2.06379i	−0.255090	−	0.185334i
$125$	−1.31170	+	0.953004i	−0.117322	+	0.0852393i
$126$	0.0414438	−	0.127551i	0.00369210	−	0.0113631i
$127$	−6.11075	+	18.8070i	−0.542241	+	1.66885i	0.185219	+	0.982697i	$0.440701\pi$
$127$	−6.11075	+	18.8070i	−0.542241	+	1.66885i	−0.727460	+	0.686150i	$0.759299\pi$
$128$	15.2424	−	11.0743i	1.34725	−	0.978837i
$129$	−3.14701	−	2.28643i	−0.277079	−	0.201309i
$130$	2.18856	+	6.73570i	0.191949	+	0.590760i
$131$	6.05149			0.528721			0.264361	−	0.964424i	$-0.414839\pi$
$131$	6.05149			0.528721			0.264361	+	0.964424i	$0.414839\pi$
$132$	−9.47139	+	5.45070i	−0.824379	+	0.474422i
$133$	0.135316			0.0117334
$134$	8.37549	+	25.7771i	0.723532	+	2.22680i
$135$	−2.49004	−	1.80912i	−0.214309	−	0.155704i
$136$	−9.48737	+	6.89298i	−0.813535	+	0.591068i
$137$	0.801450	−	2.46661i	0.0684725	−	0.210737i	−0.910965	−	0.412483i	$-0.864662\pi$
$137$	0.801450	−	2.46661i	0.0684725	−	0.210737i	0.979438	+	0.201746i	$0.0646616\pi$
$138$	−1.43406	+	4.41359i	−0.122075	+	0.375709i
$139$	2.56033	−	1.86019i	0.217165	−	0.157779i	−0.473885	−	0.880587i	$-0.657149\pi$
$139$	2.56033	−	1.86019i	0.217165	−	0.157779i	0.691049	+	0.722808i	$0.257149\pi$
$140$	0.478182	+	0.347420i	0.0404137	+	0.0293623i
$141$	3.56076	+	10.9589i	0.299870	+	0.922904i
$142$	−10.5810			−0.887936
$143$	−2.46163	−	2.22269i	−0.205852	−	0.185871i
$144$	0.266393			0.0221994
$145$	0.948875	+	2.92034i	0.0787998	+	0.242521i
$146$	18.8314	+	13.6818i	1.55850	+	1.13231i
$147$	−5.66037	+	4.11250i	−0.466860	+	0.339193i
$148$	5.53014	−	17.0200i	0.454574	−	1.39904i
$149$	4.22813	−	13.0129i	0.346382	−	1.06605i	−0.614458	−	0.788950i	$-0.710625\pi$
$149$	4.22813	−	13.0129i	0.346382	−	1.06605i	0.960840	−	0.277105i	$-0.0893748\pi$
$150$	8.32732	−	6.05016i	0.679923	−	0.493993i
$151$	−12.6564	−	9.19541i	−1.02996	−	0.748312i	−0.0616614	−	0.998097i	$-0.519640\pi$
$151$	−12.6564	−	9.19541i	−1.02996	−	0.748312i	−0.968301	+	0.249786i	$0.919640\pi$
$152$	2.13763	+	6.57895i	0.173385	+	0.533623i
$153$	3.93584			0.318194
$154$	−0.442306	−	0.0471126i	−0.0356421	−	0.00379644i
$155$	−3.27989			−0.263447
$156$	1.01817	+	3.13360i	0.0815187	+	0.250889i
$157$	−0.789698	−	0.573749i	−0.0630247	−	0.0457901i	0.555827	−	0.831298i	$-0.312402\pi$
$157$	−0.789698	−	0.573749i	−0.0630247	−	0.0457901i	−0.618852	+	0.785508i	$0.712402\pi$
$158$	26.2537	−	19.0744i	2.08863	−	1.51748i
$159$	3.14111	−	9.66734i	0.249106	−	0.766670i
$160$	5.08475	−	15.6493i	0.401985	−	1.23718i
$161$	−0.0950966	+	0.0690917i	−0.00749466	+	0.00544519i
$162$	−1.86159	−	1.35253i	−0.146261	−	0.106265i
$163$	−4.12445	−	12.6938i	−0.323052	−	0.994252i	−0.972312	−	0.233686i	$-0.924921\pi$
$163$	−4.12445	−	12.6938i	−0.323052	−	0.994252i	0.649260	−	0.760566i	$-0.275079\pi$
$164$	−24.4725			−1.91098
$165$	−4.16502	+	9.31976i	−0.324247	+	0.725543i
$166$	1.23913			0.0961752
$167$	0.149423	+	0.459877i	0.0115627	+	0.0355864i	0.956671	−	0.291170i	$-0.0940444\pi$
$167$	0.149423	+	0.459877i	0.0115627	+	0.0355864i	−0.945109	+	0.326756i	$0.894044\pi$
$168$	0.140494	+	0.102075i	0.0108394	+	0.00787525i
$169$	−0.809017	+	0.587785i	−0.0622321	+	0.0452143i
$170$	−8.61382	+	26.5106i	−0.660650	+	2.03327i
$171$	0.717433	−	2.20803i	0.0548635	−	0.168852i
$172$	10.3690	−	7.53349i	0.790626	−	0.574423i
$173$	18.8762	+	13.7144i	1.43513	+	1.04268i	0.989032	+	0.147702i	$0.0471876\pi$
$173$	18.8762	+	13.7144i	1.43513	+	1.04268i	0.446101	+	0.894983i	$0.352812\pi$
$174$	0.709394	+	2.18329i	0.0537790	+	0.165515i
$175$	0.260717			0.0197084
$176$	−0.182489	−	0.864474i	−0.0137556	−	0.0651622i
$177$	9.43121			0.708893
$178$	−6.87083	−	21.1462i	−0.514990	−	1.58498i
$179$	−13.7375	−	9.98086i	−1.02679	−	0.746004i	−0.0591238	−	0.998251i	$-0.518831\pi$
$179$	−13.7375	−	9.98086i	−1.02679	−	0.746004i	−0.967663	+	0.252246i	$0.918831\pi$
$180$	8.20434	−	5.96080i	0.611516	−	0.444292i
$181$	6.00855	−	18.4924i	0.446612	−	1.37453i	−0.434094	−	0.900868i	$-0.642931\pi$
$181$	6.00855	−	18.4924i	0.446612	−	1.37453i	0.880706	−	0.473663i	$-0.157069\pi$
$182$	−0.0414438	+	0.127551i	−0.00307202	+	0.00945469i
$183$	−2.04779	+	1.48781i	−0.151377	+	0.109982i
$184$	−4.86146	−	3.53206i	−0.358391	−	0.260387i
$185$	−5.16592	−	15.8991i	−0.379806	−	1.16892i
$186$	−2.45210			−0.179796
$187$	−2.69619	−	12.7722i	−0.197165	−	0.933997i
$188$	−37.9662			−2.76897
$189$	−0.0180107	−	0.0554314i	−0.00131009	−	0.00403204i
$190$	13.3025	+	9.66483i	0.965064	+	0.701160i
$191$	−18.0943	+	13.1463i	−1.30926	+	0.951231i	−0.309257	+	0.950979i	$0.600080\pi$
$191$	−18.0943	+	13.1463i	−1.30926	+	0.951231i	−1.00000		0.000252059i	$0.999920\pi$
$192$	3.96608	−	12.2063i	0.286227	−	0.880917i
$193$	5.24208	−	16.1335i	0.377333	−	1.16131i	−0.564558	−	0.825394i	$-0.690953\pi$
$193$	5.24208	−	16.1335i	0.377333	−	1.16131i	0.941891	−	0.335919i	$-0.109047\pi$
$194$	6.52594	−	4.74138i	0.468535	−	0.340411i
$195$	2.49004	+	1.80912i	0.178316	+	0.129554i
$196$	−7.12372	−	21.9246i	−0.508837	−	1.56604i
$197$	13.7351			0.978585			0.489293	−	0.872120i	$-0.337255\pi$
$197$	13.7351			0.978585			0.489293	+	0.872120i	$0.337255\pi$
$198$	−3.11384	+	6.96760i	−0.221291	+	0.495166i
$199$	−21.6846			−1.53718			−0.768592	−	0.639739i	$-0.779042\pi$
$199$	−21.6846			−1.53718			−0.768592	+	0.639739i	$0.779042\pi$
$200$	4.11864	+	12.6759i	0.291232	+	0.896319i
$201$	9.52924	+	6.92340i	0.672141	+	0.488339i
$202$	0.623391	−	0.452920i	0.0438616	−	0.0318673i
$203$	−0.0179684	+	0.0553010i	−0.00126113	+	0.00388137i
$204$	−4.00735	+	12.3333i	−0.280570	+	0.863507i
$205$	−18.4947	+	13.4372i	−1.29173	+	0.938495i
$206$	−19.1120	−	13.8857i	−1.33160	−	0.967461i
$207$	0.623219	+	1.91807i	0.0433167	+	0.133315i
$208$	−0.266393			−0.0184710
$209$	−7.65677	−	0.815567i	−0.529630	−	0.0564139i
$210$	0.412787			0.0284850
$211$	−4.97149	−	15.3007i	−0.342252	−	1.05334i	−0.963039	−	0.269363i	$-0.913187\pi$
$211$	−4.97149	−	15.3007i	−0.342252	−	1.05334i	0.620787	−	0.783979i	$-0.286813\pi$
$212$	27.0954	+	19.6860i	1.86092	+	1.35204i
$213$	−3.72011	+	2.70282i	−0.254898	+	0.185194i
$214$	−8.49386	+	26.1414i	−0.580628	+	1.78699i
$215$	3.69974	−	11.3866i	0.252320	−	0.776562i
$216$	2.41051	−	1.75134i	0.164014	−	0.119163i
$217$	−0.0502478	−	0.0365072i	−0.00341104	−	0.00247827i
$218$	3.75937	+	11.5702i	0.254617	+	0.783630i
$219$	10.1157			0.683558
$220$	−24.9637	−	22.5406i	−1.68305	−	1.51969i
$221$	−3.93584			−0.264753
$222$	−3.86212	−	11.8864i	−0.259209	−	0.797762i
$223$	11.2634	+	8.18331i	0.754250	+	0.547995i	0.897141	−	0.441743i	$-0.145640\pi$
$223$	11.2634	+	8.18331i	0.754250	+	0.547995i	−0.142891	+	0.989738i	$0.545640\pi$
$224$	0.252084	−	0.183150i	0.0168431	−	0.0122372i
$225$	1.38230	−	4.25429i	0.0921534	−	0.283619i
$226$	12.0561	−	37.1050i	0.801962	−	2.46818i
$227$	12.7711	−	9.27872i	0.847645	−	0.615850i	−0.0768505	−	0.997043i	$-0.524486\pi$
$227$	12.7711	−	9.27872i	0.847645	−	0.615850i	0.924496	+	0.381192i	$0.124486\pi$
$228$	6.18862	+	4.49630i	0.409852	+	0.297775i
$229$	1.35643	+	4.17465i	0.0896351	+	0.275869i	0.985818	−	0.167815i	$-0.0536713\pi$
$229$	1.35643	+	4.17465i	0.0896351	+	0.275869i	−0.896183	+	0.443684i	$0.853671\pi$
$230$	−14.2835			−0.941825
$231$	−0.167543	+	0.0964193i	−0.0110235	+	0.00634392i
$232$	−2.97255			−0.195157
$233$	−8.45969	−	26.0362i	−0.554212	−	1.70569i	−0.698014	−	0.716084i	$-0.745933\pi$
$233$	−8.45969	−	26.0362i	−0.554212	−	1.70569i	0.143802	−	0.989607i	$-0.454067\pi$
$234$	1.86159	+	1.35253i	0.121696	+	0.0884175i
$235$	−28.6924	+	20.8462i	−1.87168	+	1.35986i
$236$	−9.60256	+	29.5536i	−0.625073	+	1.92378i
$237$	4.35800	−	13.4126i	0.283083	−	0.871239i
$238$	−0.427043	+	0.310265i	−0.0276811	+	0.0201115i
$239$	−0.135504	−	0.0984491i	−0.00876500	−	0.00636814i	0.583394	−	0.812189i	$-0.301724\pi$
$239$	−0.135504	−	0.0984491i	−0.00876500	−	0.00636814i	−0.592159	+	0.805821i	$0.701724\pi$
$240$	0.253369	+	0.779791i	0.0163549	+	0.0503353i
$241$	−4.37332			−0.281710			−0.140855	−	0.990030i	$-0.544985\pi$
$241$	−4.37332			−0.281710			−0.140855	+	0.990030i	$0.544985\pi$
$242$	24.7437	+	5.33168i	1.59059	+	0.342734i
$243$	−1.00000			−0.0641500
$244$	−2.57720	−	7.93179i	−0.164988	−	0.507781i
$245$	−17.4218	−	12.6577i	−1.11304	−	0.808671i
$246$	−13.8270	+	10.0459i	−0.881574	+	0.640501i
$247$	−0.717433	+	2.20803i	−0.0456492	+	0.140494i
$248$	0.981168	−	3.01972i	0.0623042	−	0.191753i
$249$	0.435660	−	0.316525i	0.0276088	−	0.0200590i
$250$	−3.01829	−	2.19292i	−0.190894	−	0.138692i
$251$	2.50271	+	7.70256i	0.157970	+	0.486181i	0.998450	−	0.0556615i	$-0.0177268\pi$
$251$	2.50271	+	7.70256i	0.157970	+	0.486181i	−0.840480	+	0.541843i	$0.817727\pi$
$252$	0.192038			0.0120972
$253$	5.79742	−	3.33636i	0.364480	−	0.209755i
$254$	−45.5029			−2.85511
$255$	3.74342	+	11.5211i	0.234422	+	0.721477i
$256$	14.3071	+	10.3947i	0.894191	+	0.649668i
$257$	23.8684	−	17.3414i	1.48887	−	1.08173i	0.514311	−	0.857604i	$-0.328048\pi$
$257$	23.8684	−	17.3414i	1.48887	−	1.08173i	0.974560	−	0.224125i	$-0.0719523\pi$
$258$	2.76599	−	8.51283i	0.172203	−	0.529985i
$259$	0.0978246	−	0.301073i	0.00607852	−	0.0187078i
$260$	−8.20434	+	5.96080i	−0.508812	+	0.369673i
$261$	0.807115	+	0.586403i	0.0499591	+	0.0362974i
$262$	4.30301	+	13.2433i	0.265841	+	0.818174i
$263$	25.4541			1.56956			0.784782	−	0.619772i	$-0.212775\pi$
$263$	25.4541			1.56956			0.784782	+	0.619772i	$0.212775\pi$
$264$	−7.33456	−	6.62263i	−0.451411	−	0.407595i
$265$	31.2860			1.92188
$266$	0.0962184	+	0.296130i	0.00589953	+	0.0181569i
$267$	−7.81730	−	5.67960i	−0.478411	−	0.347586i
$268$	−31.3975	+	22.8116i	−1.91791	+	1.39344i
$269$	0.340083	−	1.04667i	0.0207353	−	0.0638166i	−0.940153	−	0.340751i	$-0.889319\pi$
$269$	0.340083	−	1.04667i	0.0207353	−	0.0638166i	0.960889	+	0.276935i	$0.0893186\pi$
$270$	2.18856	−	6.73570i	0.133192	−	0.409921i
$271$	−25.3425	+	18.4124i	−1.53945	+	1.11848i	−0.588771	+	0.808300i	$0.700388\pi$
$271$	−25.3425	+	18.4124i	−1.53945	+	1.11848i	−0.950679	+	0.310176i	$0.899612\pi$
$272$	−0.848238	−	0.616281i	−0.0514320	−	0.0373675i
$273$	0.0180107	+	0.0554314i	0.00109006	+	0.00335486i
$274$	5.96790			0.360534
$275$	−14.7525	−	1.57138i	−0.889612	−	0.0947577i
$276$	−6.64500			−0.399982
$277$	−6.11427	−	18.8178i	−0.367371	−	1.13065i	−0.948483	−	0.316828i	$-0.897382\pi$
$277$	−6.11427	−	18.8178i	−0.367371	−	1.13065i	0.581112	−	0.813824i	$-0.302618\pi$
$278$	5.89147	+	4.28040i	0.353347	+	0.256722i
$279$	−0.862120	+	0.626367i	−0.0516138	+	0.0374996i
$280$	−0.165170	+	0.508341i	−0.00987080	+	0.0303792i
$281$	−3.56992	+	10.9871i	−0.212963	+	0.655434i	0.786329	+	0.617809i	$0.211979\pi$
$281$	−3.56992	+	10.9871i	−0.212963	+	0.655434i	−0.999292	+	0.0376252i	$0.988021\pi$
$282$	−21.4509	+	15.5850i	−1.27738	+	0.928071i
$283$	−16.4757	−	11.9703i	−0.979378	−	0.711559i	−0.0218081	−	0.999762i	$-0.506942\pi$
$283$	−16.4757	−	11.9703i	−0.979378	−	0.711559i	−0.957569	+	0.288203i	$0.906942\pi$
$284$	−4.68186	−	14.4093i	−0.277817	−	0.855033i
$285$	7.14575			0.423278
$286$	3.11384	−	6.96760i	0.184125	−	0.412003i
$287$	−0.432903			−0.0255535
$288$	−1.65204	−	5.08446i	−0.0973475	−	0.299605i
$289$	1.22096	+	0.887078i	0.0718211	+	0.0521811i
$290$	−5.71625	+	4.15310i	−0.335670	+	0.243878i
$291$	1.08328	−	3.33399i	0.0635030	−	0.195442i
$292$	−10.2995	+	31.6987i	−0.602734	+	1.85502i
$293$	20.7907	−	15.1054i	1.21461	−	0.882465i	0.218967	−	0.975732i	$-0.429731\pi$
$293$	20.7907	−	15.1054i	1.21461	−	0.882465i	0.995641	+	0.0932676i	$0.0297312\pi$
$294$	−13.0248	−	9.46310i	−0.759624	−	0.551899i
$295$	8.97013	+	27.6072i	0.522261	+	1.60735i
$296$	16.1833			0.940636
$297$	0.685036	+	3.24511i	0.0397498	+	0.188300i
$298$	31.4843			1.82383
$299$	−0.623219	−	1.91807i	−0.0360417	−	0.110925i
$300$	11.9238	+	8.66316i	0.688422	+	0.500168i
$301$	0.183420	−	0.133263i	0.0105722	−	0.00768113i
$302$	11.1240	−	34.2362i	0.640116	−	1.97007i
$303$	0.103480	−	0.318480i	0.00594479	−	0.0182962i
$304$	−0.500357	+	0.363530i	−0.0286974	+	0.0208499i
$305$	−6.30281	−	4.57926i	−0.360898	−	0.262208i
$306$	2.79864	+	8.61332i	0.159988	+	0.492391i
$307$	11.3357			0.646960			0.323480	−	0.946235i	$-0.395147\pi$
$307$	11.3357			0.646960			0.323480	+	0.946235i	$0.395147\pi$
$308$	−0.131553	−	0.623183i	−0.00749591	−	0.0355092i
$309$	−10.2665			−0.584039
$310$	−2.33222	−	7.17782i	−0.132461	−	0.407673i
$311$	13.7168	+	9.96584i	0.777809	+	0.565111i	0.904321	−	0.426854i	$-0.140378\pi$
$311$	13.7168	+	9.96584i	0.777809	+	0.565111i	−0.126512	+	0.991965i	$0.540378\pi$
$312$	−2.41051	+	1.75134i	−0.136468	+	0.0991499i
$313$	−5.83669	+	17.9635i	−0.329909	+	1.01536i	0.639266	+	0.768985i	$0.279238\pi$
$313$	−5.83669	+	17.9635i	−0.329909	+	1.01536i	−0.969176	+	0.246371i	$0.920762\pi$
$314$	0.694085	−	2.13618i	0.0391695	−	0.120551i
$315$	0.145130	−	0.105443i	0.00817712	−	0.00594103i
$316$	37.5924	+	27.3125i	2.11474	+	1.53645i
$317$	9.18490	+	28.2682i	0.515875	+	1.58770i	0.781684	+	0.623675i	$0.214361\pi$
$317$	9.18490	+	28.2682i	0.515875	+	1.58770i	−0.265809	+	0.964026i	$0.585639\pi$
$318$	23.3899			1.31164
$319$	1.35004	−	3.02088i	0.0755877	−	0.169137i
$320$	39.5028			2.20827
$321$	3.69129	+	11.3606i	0.206028	+	0.634088i
$322$	−0.218823	−	0.158984i	−0.0121945	−	0.00885983i
$323$	−7.39254	+	5.37100i	−0.411332	+	0.298850i
$324$	1.01817	−	3.13360i	0.0565649	−	0.174089i
$325$	−1.38230	+	4.25429i	−0.0766763	+	0.235985i
$326$	24.8467	−	18.0522i	1.37613	−	0.999818i
$327$	4.27723	+	3.10759i	0.236532	+	0.171850i
$328$	−6.83872	−	21.0474i	−0.377605	−	1.16215i
$329$	−0.671598			−0.0370264
$330$	−23.3573	−	2.48792i	−1.28578	−	0.136956i
$331$	−5.15361			−0.283268			−0.141634	−	0.989919i	$-0.545236\pi$
$331$	−5.15361			−0.283268			−0.141634	+	0.989919i	$0.545236\pi$
$332$	0.548289	+	1.68746i	0.0300912	+	0.0926113i
$333$	−4.39414	−	3.19253i	−0.240797	−	0.174950i
$334$	−0.900162	+	0.654006i	−0.0492547	+	0.0357856i
$335$	−11.2029	+	34.4791i	−0.612082	+	1.88379i
$336$	−0.00479794	+	0.0147665i	−0.000261749	+	0.000805581i
$337$	−17.0797	+	12.4091i	−0.930388	+	0.675966i	−0.946088	−	0.323910i	$-0.895002\pi$
$337$	−17.0797	+	12.4091i	−0.930388	+	0.675966i	0.0156999	+	0.999877i	$0.495002\pi$
$338$	−1.86159	−	1.35253i	−0.101257	−	0.0735678i
$339$	−5.23939	−	16.1252i	−0.284565	−	0.875800i
$340$	−39.9138			−2.16463
$341$	2.62321	+	2.36859i	0.142055	+	0.128266i
$342$	5.34228			0.288877
$343$	−0.252089	−	0.775851i	−0.0136115	−	0.0418920i
$344$	9.37667	+	6.81255i	0.505556	+	0.367308i
$345$	−5.02186	+	3.64859i	−0.270368	+	0.196434i
$346$	−16.5908	+	51.0612i	−0.891926	+	2.74507i
$347$	−6.82036	+	20.9909i	−0.366136	+	1.12685i	0.583130	+	0.812379i	$0.301828\pi$
$347$	−6.82036	+	20.9909i	−0.366136	+	1.12685i	−0.949266	+	0.314473i	$0.898172\pi$
$348$	−2.65933	+	1.93212i	−0.142555	+	0.103572i
$349$	−9.17518	−	6.66615i	−0.491136	−	0.356831i	0.314485	−	0.949262i	$-0.398168\pi$
$349$	−9.17518	−	6.66615i	−0.491136	−	0.356831i	−0.805621	+	0.592431i	$0.798168\pi$
$350$	0.185387	+	0.570563i	0.00990936	+	0.0304979i
$351$	1.00000			0.0533761
$352$	−15.3679	+	8.84409i	−0.819113	+	0.471392i
$353$	−20.1973			−1.07499			−0.537496	−	0.843267i	$-0.680630\pi$
$353$	−20.1973			−1.07499			−0.537496	+	0.843267i	$0.680630\pi$
$354$	6.70621	+	20.6396i	0.356431	+	1.09698i
$355$	−11.4500	−	8.31890i	−0.607702	−	0.441522i
$356$	25.7569	−	18.7135i	1.36511	−	0.991814i
$357$	−0.0708874	+	0.218169i	−0.00375176	+	0.0115467i
$358$	12.0742	−	37.1606i	0.638142	−	1.96400i
$359$	−11.5784	+	8.41223i	−0.611087	+	0.443981i	−0.849797	−	0.527110i	$-0.823275\pi$
$359$	−11.5784	+	8.41223i	−0.611087	+	0.443981i	0.238710	+	0.971091i	$0.423275\pi$
$360$	7.41921	+	5.39037i	0.391027	+	0.284097i
$361$	−4.20568	−	12.9438i	−0.221352	−	0.681251i
$362$	44.7419			2.35158
$363$	10.0615	−	4.44603i	0.528089	−	0.233356i
$364$	−0.192038			−0.0100655
$365$	9.62118	+	29.6110i	0.503596	+	1.54991i
$366$	−4.71208	−	3.42353i	−0.246304	−	0.178951i
$367$	−20.7773	+	15.0956i	−1.08456	+	0.787982i	−0.978473	−	0.206374i	$-0.933834\pi$
$367$	−20.7773	+	15.0956i	−1.08456	+	0.787982i	−0.106091	+	0.994356i	$0.533834\pi$
$368$	0.166021	−	0.510961i	0.00865445	−	0.0266357i
$369$	−2.29522	+	7.06395i	−0.119484	+	0.367735i
$370$	31.1208	−	22.6106i	1.61789	−	1.17547i
$371$	0.479300	+	0.348232i	0.0248840	+	0.0180793i
$372$	−1.08500	−	3.33929i	−0.0562546	−	0.173134i
$373$	13.7616			0.712547			0.356273	−	0.934382i	$-0.384047\pi$
$373$	13.7616			0.712547			0.356273	+	0.934382i	$0.384047\pi$
$374$	26.0340	−	14.9823i	1.34619	−	0.774717i
$375$	−1.62135			−0.0837261
$376$	−10.6095	−	32.6526i	−0.547141	−	1.68393i
$377$	−0.807115	−	0.586403i	−0.0415685	−	0.0302013i
$378$	0.108501	−	0.0788307i	0.00558070	−	0.00405461i
$379$	−5.42043	+	16.6824i	−0.278429	+	0.856916i	0.709863	+	0.704340i	$0.248757\pi$
$379$	−5.42043	+	16.6824i	−0.278429	+	0.856916i	−0.988292	+	0.152576i	$0.951243\pi$
$380$	−7.27558	+	22.3919i	−0.373229	+	1.14868i
$381$	−15.9981	+	11.6233i	−0.819610	+	0.595482i
$382$	−41.6360	−	30.2503i	−2.13028	−	1.54774i
$383$	−9.54923	−	29.3895i	−0.487943	−	1.50173i	−0.827673	−	0.561210i	$-0.810336\pi$
$383$	−9.54923	−	29.3895i	−0.487943	−	1.50173i	0.339731	−	0.940523i	$-0.389664\pi$
$384$	18.8407			0.961460
$385$	−0.441592	−	0.398729i	−0.0225056	−	0.0203211i
$386$	39.0345			1.98680
$387$	−1.20205	−	3.69953i	−0.0611036	−	0.188058i
$388$	9.34444	+	6.78913i	0.474392	+	0.344666i
$389$	22.6092	−	16.4266i	1.14633	−	0.832859i	0.158344	−	0.987384i	$-0.449385\pi$
$389$	22.6092	−	16.4266i	1.14633	−	0.832859i	0.987989	+	0.154525i	$0.0493846\pi$
$390$	−2.18856	+	6.73570i	−0.110822	+	0.341075i
$391$	2.45289	−	7.54921i	0.124048	−	0.381780i
$392$	16.8654	−	12.2534i	0.851830	−	0.618890i
$393$	4.89576	+	3.55698i	0.246958	+	0.179426i
$394$	9.76656	+	30.0584i	0.492032	+	1.51432i
$395$	43.4064			2.18401
$396$	−10.8664	−	1.15744i	−0.546055	−	0.0581634i
$397$	−0.0801731			−0.00402377			−0.00201189	−	0.999998i	$-0.500640\pi$
$397$	−0.0801731			−0.00402377			−0.00201189	+	0.999998i	$0.500640\pi$
$398$	−15.4192	−	47.4554i	−0.772895	−	2.37873i
$399$	0.109473	+	0.0795366i	0.00548049	+	0.00398181i
$400$	−0.964053	+	0.700426i	−0.0482027	+	0.0350213i
$401$	−3.36623	+	10.3602i	−0.168102	+	0.517364i	−0.999251	−	0.0386849i	$-0.987683\pi$
$401$	−3.36623	+	10.3602i	−0.168102	+	0.517364i	0.831150	+	0.556049i	$0.187683\pi$
$402$	−8.37549	+	25.7771i	−0.417731	+	1.28565i
$403$	0.862120	−	0.626367i	0.0429453	−	0.0312016i
$404$	0.892628	+	0.648532i	0.0444099	+	0.0322657i
$405$	−0.951111	−	2.92722i	−0.0472611	−	0.145455i
$406$	−0.133799			−0.00664036
$407$	−7.34996	+	16.4465i	−0.364324	+	0.815221i
$408$	−11.7270			−0.580574
$409$	5.55324	+	17.0911i	0.274590	+	0.845102i	0.989328	+	0.145709i	$0.0465463\pi$
$409$	5.55324	+	17.0911i	0.274590	+	0.845102i	−0.714737	+	0.699393i	$0.753454\pi$
$410$	−42.5574	−	30.9198i	−2.10176	−	1.52702i
$411$	2.09822	−	1.52445i	0.103498	−	0.0751955i
$412$	10.4530	−	32.1710i	0.514982	−	1.58495i
$413$	−0.169863	+	0.522785i	−0.00835842	+	0.0257246i
$414$	−3.75442	+	2.72775i	−0.184520	+	0.134061i
$415$	1.34090	+	0.974220i	0.0658221	+	0.0478226i
$416$	1.65204	+	5.08446i	0.0809980	+	0.249286i
$417$	3.16474			0.154978
$418$	−3.65965	−	17.3363i	−0.178999	−	0.847945i
$419$	−18.0139			−0.880038			−0.440019	−	0.897988i	$-0.645028\pi$
$419$	−18.0139			−0.880038			−0.440019	+	0.897988i	$0.645028\pi$
$420$	0.182649	+	0.562137i	0.00891237	+	0.0274295i
$421$	−6.96281	−	5.05877i	−0.339346	−	0.246550i	0.405040	−	0.914299i	$-0.367258\pi$
$421$	−6.96281	−	5.05877i	−0.339346	−	0.246550i	−0.744386	+	0.667750i	$0.767258\pi$
$422$	29.9495	−	21.7596i	1.45792	−	1.05924i
$423$	−3.56076	+	10.9589i	−0.173130	+	0.532839i
$424$	−9.35910	+	28.8043i	−0.454518	+	1.39886i
$425$	−14.2435	+	10.3485i	−0.690909	+	0.501975i
$426$	−8.56019	−	6.21934i	−0.414743	−	0.301328i
$427$	−0.0455889	−	0.140308i	−0.00220620	−	0.00678999i
$428$	−39.3580			−1.90244
$429$	−0.685036	−	3.24511i	−0.0330738	−	0.156675i
$430$	27.5497			1.32856
$431$	−0.733161	−	2.25644i	−0.0353151	−	0.108689i	0.931845	−	0.362857i	$-0.118198\pi$
$431$	−0.733161	−	2.25644i	−0.0353151	−	0.108689i	−0.967160	+	0.254168i	$0.918198\pi$
$432$	0.215517	+	0.156582i	0.0103690	+	0.00753355i
$433$	0.493702	−	0.358696i	0.0237258	−	0.0172378i	−0.575859	−	0.817549i	$-0.695332\pi$
$433$	0.493702	−	0.358696i	0.0237258	−	0.0172378i	0.599585	+	0.800311i	$0.295332\pi$
$434$	0.0441641	−	0.135923i	0.00211994	−	0.00652452i
$435$	−0.948875	+	2.92034i	−0.0454951	+	0.140019i
$436$	−14.0929	+	10.2391i	−0.674927	+	0.490364i
$437$	−3.78804	−	2.75217i	−0.181207	−	0.131654i
$438$	7.19295	+	22.1376i	0.343692	+	1.05778i
$439$	0.360667			0.0172137			0.00860686	−	0.999963i	$-0.497260\pi$
$439$	0.360667			0.0172137			0.00860686	+	0.999963i	$0.497260\pi$
$440$	12.4099	−	27.7687i	0.591619	−	1.32382i
$441$	−6.99660			−0.333172
$442$	−2.79864	−	8.61332i	−0.133118	−	0.409694i
$443$	8.19089	+	5.95103i	0.389161	+	0.282742i	0.765112	−	0.643898i	$-0.222684\pi$
$443$	8.19089	+	5.95103i	0.389161	+	0.282742i	−0.375951	+	0.926640i	$0.622684\pi$
$444$	14.4781	−	10.5189i	0.687100	−	0.499207i
$445$	9.19032	−	28.2849i	0.435663	−	1.34083i
$446$	−9.89965	+	30.4680i	−0.468762	+	1.44270i
$447$	11.0694	−	8.04238i	0.523564	−	0.380392i
$448$	0.605182	+	0.439691i	0.0285922	+	0.0207734i
$449$	−1.87425	−	5.76836i	−0.0884515	−	0.272226i	0.897040	−	0.441949i	$-0.145713\pi$
$449$	−1.87425	−	5.76836i	−0.0884515	−	0.272226i	−0.985492	+	0.169723i	$0.945713\pi$
$450$	10.2931			0.485223
$451$	24.4956	+	2.60917i	1.15345	+	0.122861i
$452$	55.8644			2.62764
$453$	−4.83431	−	14.8785i	−0.227136	−	0.699052i
$454$	29.3869	+	21.3509i	1.37920	+	1.00205i
$455$	−0.145130	+	0.105443i	−0.00680378	+	0.00494323i
$456$	−2.13763	+	6.57895i	−0.100104	+	0.308087i
$457$	5.43669	−	16.7324i	0.254317	−	0.782709i	−0.739646	−	0.672996i	$-0.765007\pi$
$457$	5.43669	−	16.7324i	0.254317	−	0.782709i	0.993963	−	0.109712i	$-0.0349930\pi$
$458$	−8.17144	+	5.93690i	−0.381826	+	0.277413i
$459$	3.18416	+	2.31343i	0.148624	+	0.107982i
$460$	−6.32014	−	19.4514i	−0.294678	−	0.906925i
$461$	6.92100			0.322343			0.161171	−	0.986926i	$-0.448473\pi$
$461$	6.92100			0.322343			0.161171	+	0.986926i	$0.448473\pi$
$462$	−0.330141	−	0.298096i	−0.0153596	−	0.0138687i
$463$	13.2179			0.614289			0.307144	−	0.951663i	$-0.400627\pi$
$463$	13.2179			0.614289			0.307144	+	0.951663i	$0.400627\pi$
$464$	−0.0821264	−	0.252759i	−0.00381262	−	0.0117341i
$465$	−2.65348	−	1.92787i	−0.123052	−	0.0894028i
$466$	50.9632	−	37.0269i	2.36083	−	1.71524i
$467$	−0.357039	+	1.09885i	−0.0165218	+	0.0508489i	−0.958978	−	0.283482i	$-0.908510\pi$
$467$	−0.357039	+	1.09885i	−0.0165218	+	0.0508489i	0.942456	+	0.334331i	$0.108510\pi$
$468$	−1.01817	+	3.13360i	−0.0470649	+	0.144851i
$469$	−0.555402	+	0.403523i	−0.0256461	+	0.0186330i
$470$	−66.0228	−	47.9684i	−3.04540	−	2.21262i
$471$	−0.301638	−	0.928345i	−0.0138987	−	0.0427759i
$472$	−28.1008			−1.29344
$473$	−11.1819	+	6.43509i	−0.514145	+	0.295886i
$474$	32.4513			1.49054
$475$	3.20924	+	9.87702i	0.147250	+	0.453189i
$476$	−0.611479	−	0.444265i	−0.0280271	−	0.0203629i
$477$	8.22353	−	5.97475i	0.376530	−	0.273565i
$478$	0.119098	−	0.366544i	0.00544739	−	0.0167654i
$479$	−11.2166	+	34.5211i	−0.512498	+	1.57731i	0.275290	+	0.961361i	$0.411226\pi$
$479$	−11.2166	+	34.5211i	−0.512498	+	1.57731i	−0.787788	+	0.615946i	$0.788774\pi$
$480$	13.3121	−	9.67177i	0.607609	−	0.441454i
$481$	4.39414	+	3.19253i	0.200356	+	0.145567i
$482$	−3.10972	−	9.57073i	−0.141644	−	0.435935i
$483$	−0.117546			−0.00534852
$484$	3.68783	+	36.0554i	0.167629	+	1.63888i
$485$	10.7896			0.489933
$486$	−0.711066	−	2.18844i	−0.0322546	−	0.0992694i
$487$	−1.95535	−	1.42064i	−0.0886053	−	0.0643755i	0.542601	−	0.839991i	$-0.317440\pi$
$487$	−1.95535	−	1.42064i	−0.0886053	−	0.0643755i	−0.631206	+	0.775615i	$0.717440\pi$
$488$	6.10149	−	4.43300i	0.276202	−	0.200672i
$489$	4.12445	−	12.6938i	0.186514	−	0.574032i
$490$	15.3125	−	47.1270i	0.691748	−	2.12898i
$491$	−21.9681	+	15.9607i	−0.991405	+	0.720298i	−0.960228	−	0.279216i	$-0.909925\pi$
$491$	−21.9681	+	15.9607i	−0.991405	+	0.720298i	−0.0311763	+	0.999514i	$0.509925\pi$
$492$	−19.7987	−	14.3846i	−0.892594	−	0.648507i
$493$	−1.21338	−	3.73440i	−0.0546479	−	0.168189i
$494$	−5.34228			−0.240360
$495$	−8.84760	+	5.09171i	−0.397670	+	0.228855i
$496$	0.283879			0.0127465
$497$	−0.0828191	−	0.254891i	−0.00371494	−	0.0114334i
$498$	1.00248	+	0.728342i	0.0449221	+	0.0326378i
$499$	16.0038	−	11.6275i	0.716431	−	0.520517i	−0.168811	−	0.985648i	$-0.553993\pi$
$499$	16.0038	−	11.6275i	0.716431	−	0.520517i	0.885242	+	0.465131i	$0.153993\pi$
$500$	1.65081	−	5.08066i	0.0738263	−	0.227214i
$501$	−0.149423	+	0.459877i	−0.00667573	+	0.0205458i
$502$	−15.0770	+	10.9541i	−0.672918	+	0.488903i
$503$	11.4806	+	8.34117i	0.511896	+	0.371915i	0.813543	−	0.581505i	$-0.197536\pi$
$503$	11.4806	+	8.34117i	0.511896	+	0.371915i	−0.301646	+	0.953420i	$0.597536\pi$
$504$	0.0536640	+	0.165161i	0.00239038	+	0.00735684i
$505$	1.03068			0.0458647
$506$	11.4237	+	10.3149i	0.507847	+	0.458553i
$507$	−1.00000			−0.0444116
$508$	−20.1341	−	61.9663i	−0.893305	−	2.74931i
$509$	3.30695	+	2.40264i	0.146578	+	0.106495i	0.658657	−	0.752443i	$-0.271125\pi$
$509$	3.30695	+	2.40264i	0.146578	+	0.106495i	−0.512079	+	0.858938i	$0.671125\pi$
$510$	−22.5513	+	16.3845i	−0.998587	+	0.725516i
$511$	−0.182192	+	0.560729i	−0.00805970	+	0.0248052i
$512$	−0.930646	+	2.86423i	−0.0411291	+	0.126582i
$513$	1.87826	−	1.36464i	0.0829274	−	0.0602503i
$514$	54.9226	+	39.9036i	2.42253	+	1.76007i
$515$	−9.76455	−	30.0522i	−0.430278	−	1.32426i
$516$	12.8167			0.564225
$517$	38.0020	+	4.04781i	1.67133	+	0.178023i
$518$	0.728439			0.0320058
$519$	7.21007	+	22.1903i	0.316487	+	0.974047i
$520$	−7.41921	−	5.39037i	−0.325354	−	0.236383i
$521$	−24.4914	+	17.7941i	−1.07299	+	0.779572i	−0.976447	−	0.215757i	$-0.930778\pi$
$521$	−24.4914	+	17.7941i	−1.07299	+	0.779572i	−0.0965414	+	0.995329i	$0.530778\pi$
$522$	−0.709394	+	2.18329i	−0.0310493	+	0.0955600i
$523$	−4.77845	+	14.7066i	−0.208947	+	0.643073i	0.790581	+	0.612357i	$0.209779\pi$
$523$	−4.77845	+	14.7066i	−0.208947	+	0.643073i	−0.999528	+	0.0307157i	$0.990221\pi$
$524$	−16.1309	+	11.7198i	−0.704680	+	0.511980i
$525$	0.210925	+	0.153246i	0.00920551	+	0.00668819i
$526$	18.0995	+	55.7045i	0.789176	+	2.42883i
$527$	4.19418			0.182701
$528$	0.360489	−	0.806639i	0.0156883	−	0.0351044i
$529$	−18.9326			−0.823157
$530$	22.2464	+	68.4673i	0.966321	+	2.97403i
$531$	7.63001	+	5.54353i	0.331114	+	0.240569i
$532$	−0.360698	+	0.262062i	−0.0156382	+	0.0113618i
$533$	2.29522	−	7.06395i	0.0994169	−	0.305974i
$534$	6.87083	−	21.1462i	0.297330	−	0.915087i
$535$	−29.7442	+	21.6104i	−1.28595	+	0.934300i
$536$	−28.3929	−	20.6286i	−1.22638	−	0.891020i
$537$	−5.24725	−	16.1494i	−0.226435	−	0.696897i
$538$	2.53239			0.109179
$539$	4.79292	+	22.7047i	0.206446	+	0.977962i
$540$	10.1411			0.436405
$541$	−4.37306	−	13.4589i	−0.188013	−	0.578643i	0.811975	−	0.583693i	$-0.198393\pi$
$541$	−4.37306	−	13.4589i	−0.188013	−	0.578643i	−0.999987	+	0.00504940i	$0.998393\pi$
$542$	−58.3146	−	42.3681i	−2.50483	−	1.81986i
$543$	15.7306	−	11.4289i	0.675064	−	0.490463i
$544$	−6.50217	+	20.0116i	−0.278778	+	0.857991i
$545$	−5.02848	+	15.4761i	−0.215396	+	0.662922i
$546$	−0.108501	+	0.0788307i	−0.00464342	+	0.00337364i
$547$	−20.9030	−	15.1869i	−0.893748	−	0.649346i	0.0431048	−	0.999071i	$-0.486275\pi$
$547$	−20.9030	−	15.1869i	−0.893748	−	0.649346i	−0.936852	+	0.349725i	$0.886275\pi$
$548$	2.64067	+	8.12714i	0.112804	+	0.347174i
$549$	−2.53121			−0.108029
$550$	−7.05117	−	33.4023i	−0.300663	−	1.42428i
$551$	−2.31620			−0.0986736
$552$	−1.85691	−	5.71499i	−0.0790354	−	0.243246i
$553$	0.664985	+	0.483140i	0.0282781	+	0.0205452i
$554$	36.8339	−	26.7614i	1.56492	−	1.13698i
$555$	5.16592	−	15.8991i	0.219281	−	0.674878i
$556$	−3.22224	+	9.91704i	−0.136654	+	0.420576i
$557$	−20.1861	+	14.6661i	−0.855313	+	0.621421i	−0.926606	−	0.376034i	$-0.877288\pi$
$557$	−20.1861	+	14.6661i	−0.855313	+	0.621421i	0.0712928	+	0.997455i	$0.477288\pi$
$558$	−1.98379	−	1.44131i	−0.0839804	−	0.0610153i
$559$	1.20205	+	3.69953i	0.0508413	+	0.156473i
$560$	−0.0477883			−0.00201942
$561$	5.32606	−	11.9177i	0.224866	−	0.503167i
$562$	−26.5829			−1.12133
$563$	12.4004	+	38.1644i	0.522613	+	1.60844i	0.768989	+	0.639262i	$0.220760\pi$
$563$	12.4004	+	38.1644i	0.522613	+	1.60844i	−0.246376	+	0.969174i	$0.579240\pi$
$564$	−30.7153	−	22.3160i	−1.29335	−	0.939672i
$565$	42.2187	−	30.6737i	1.77615	−	1.29045i
$566$	14.4809	−	44.5676i	0.608677	−	1.87332i
$567$	0.0180107	−	0.0554314i	0.000756380	−	0.00232790i
$568$	11.0843	−	8.05319i	0.465086	−	0.337905i
$569$	−12.7805	−	9.28554i	−0.535785	−	0.389270i	0.286733	−	0.958011i	$-0.407431\pi$
$569$	−12.7805	−	9.28554i	−0.535785	−	0.389270i	−0.822517	+	0.568740i	$0.807431\pi$
$570$	5.08110	+	15.6380i	0.212824	+	0.655004i
$571$	46.7378			1.95592			0.977958	−	0.208804i	$-0.0669569\pi$
$571$	46.7378			1.95592			0.977958	+	0.208804i	$0.0669569\pi$
$572$	10.8664	+	1.15744i	0.454345	+	0.0483949i
$573$	−22.3658			−0.934343
$574$	−0.307823	−	0.947381i	−0.0128483	−	0.0395429i
$575$	−7.29854	−	5.30270i	−0.304370	−	0.221138i
$576$	10.3833	−	7.54393i	0.432639	−	0.314331i
$577$	−1.95256	+	6.00937i	−0.0812862	+	0.250173i	−0.983438	−	0.181246i	$-0.941987\pi$
$577$	−1.95256	+	6.00937i	−0.0812862	+	0.250173i	0.902152	+	0.431419i	$0.141987\pi$
$578$	−1.07313	+	3.30276i	−0.0446364	+	0.137377i
$579$	13.7239	−	9.97103i	0.570348	−	0.414382i
$580$	−8.18505	−	5.94679i	−0.339866	−	0.246927i
$581$	0.00969887	+	0.0298501i	0.000402377	+	0.00123839i
$582$	8.06651			0.334368
$583$	−25.0221	−	22.5933i	−1.03631	−	0.935720i
$584$	−30.1403			−1.24722
$585$	0.951111	+	2.92722i	0.0393236	+	0.121026i
$586$	47.8407	+	34.7583i	1.97628	+	1.43585i
$587$	8.83169	−	6.41660i	0.364523	−	0.264841i	−0.390413	−	0.920640i	$-0.627668\pi$
$587$	8.83169	−	6.41660i	0.364523	−	0.264841i	0.754936	+	0.655798i	$0.227668\pi$
$588$	7.12372	−	21.9246i	0.293777	−	0.904153i
$589$	0.764525	−	2.35297i	0.0315017	−	0.0969522i
$590$	−54.0383	+	39.2611i	−2.22472	+	1.61635i
$591$	11.1119	+	8.07329i	0.457084	+	0.332091i
$592$	0.447117	+	1.37609i	0.0183764	+	0.0565568i
$593$	−16.0152			−0.657667			−0.328833	−	0.944388i	$-0.606655\pi$
$593$	−16.0152			−0.657667			−0.328833	+	0.944388i	$0.606655\pi$
$594$	−6.61460	+	3.80664i	−0.271400	+	0.156188i
$595$	−0.706050			−0.0289452
$596$	13.9311	+	42.8756i	0.570641	+	1.75625i
$597$	−17.5432	−	12.7459i	−0.717997	−	0.521656i
$598$	3.75442	−	2.72775i	0.153530	−	0.111546i
$599$	−8.26759	+	25.4450i	−0.337805	+	1.03966i	0.627520	+	0.778601i	$0.284070\pi$
$599$	−8.26759	+	25.4450i	−0.337805	+	1.03966i	−0.965324	+	0.261055i	$0.915930\pi$
$600$	−4.11864	+	12.6759i	−0.168143	+	0.517490i
$601$	4.51783	−	3.28239i	0.184286	−	0.133892i	−0.491817	−	0.870698i	$-0.663667\pi$
$601$	4.51783	−	3.28239i	0.184286	−	0.133892i	0.676103	+	0.736807i	$0.263667\pi$
$602$	0.422060	+	0.306645i	0.0172019	+	0.0124979i
$603$	3.63984	+	11.2023i	0.148226	+	0.456192i
$604$	51.5454			2.09735
$605$	22.5841	+	25.2234i	0.918173	+	1.02548i
$606$	0.770553			0.0313016
$607$	3.50432	+	10.7852i	0.142236	+	0.437757i	0.996645	−	0.0818434i	$-0.0260807\pi$
$607$	3.50432	+	10.7852i	0.142236	+	0.437757i	−0.854409	+	0.519601i	$0.826081\pi$
$608$	10.0414	+	7.29552i	0.407234	+	0.295872i
$609$	−0.0470419	+	0.0341779i	−0.00190623	+	0.00138496i
$610$	5.53970	−	17.0494i	0.224296	−	0.690312i
$611$	3.56076	−	10.9589i	0.144053	−	0.443349i
$612$	−10.4914	+	7.62242i	−0.424088	+	0.308118i
$613$	−32.2822	−	23.4544i	−1.30387	−	0.947315i	−0.303882	−	0.952710i	$-0.598283\pi$
$613$	−32.2822	−	23.4544i	−1.30387	−	0.947315i	−0.999985	+	0.00539447i	$0.998283\pi$
$614$	8.06040	+	24.8074i	0.325291	+	1.00114i
$615$	−22.8607			−0.921834
$616$	0.499202	−	0.287286i	0.0201134	−	0.0115751i
$617$	20.9130			0.841926			0.420963	−	0.907078i	$-0.361692\pi$
$617$	20.9130			0.841926			0.420963	+	0.907078i	$0.361692\pi$
$618$	−7.30013	−	22.4675i	−0.293654	−	0.903775i
$619$	−17.6596	−	12.8305i	−0.709801	−	0.515700i	0.173309	−	0.984868i	$-0.444554\pi$
$619$	−17.6596	−	12.8305i	−0.709801	−	0.515700i	−0.883109	+	0.469167i	$0.844554\pi$
$620$	8.74287	−	6.35206i	0.351122	−	0.255105i
$621$	−0.623219	+	1.91807i	−0.0250089	+	0.0769695i
$622$	−12.0560	+	37.1047i	−0.483404	+	1.48776i
$623$	0.455624	−	0.331030i	0.0182542	−	0.0132624i
$624$	−0.215517	−	0.156582i	−0.00862757	−	0.00626829i
$625$	−8.45359	−	26.0175i	−0.338144	−	1.04070i
$626$	−43.4622			−1.73710
$627$	−5.71508	−	5.16034i	−0.228238	−	0.206084i
$628$	3.21618			0.128340
$629$	6.60596	+	20.3310i	0.263397	+	0.810652i
$630$	0.333951	+	0.242630i	0.0133049	+	0.00966661i
$631$	−30.6789	+	22.2895i	−1.22131	+	0.887332i	−0.996208	−	0.0870034i	$-0.972271\pi$
$631$	−30.6789	+	22.2895i	−1.22131	+	0.887332i	−0.225100	+	0.974336i	$0.572271\pi$
$632$	−12.9849	+	39.9634i	−0.516511	+	1.58966i
$633$	4.97149	−	15.3007i	0.197599	−	0.608148i
$634$	−55.3321	+	40.2011i	−2.19752	+	1.59659i
$635$	−49.2401	−	35.7750i	−1.95403	−	1.41969i
$636$	10.3495	+	31.8526i	0.410385	+	1.26304i
$637$	6.99660			0.277216
$638$	7.57097	+	0.806428i	0.299738	+	0.0319268i
$639$	−4.59831			−0.181906
$640$	17.9196	+	55.1508i	0.708334	+	2.18003i
$641$	−17.4622	−	12.6871i	−0.689717	−	0.501109i	0.186850	−	0.982388i	$-0.440172\pi$
$641$	−17.4622	−	12.6871i	−0.689717	−	0.501109i	−0.876567	+	0.481280i	$0.840172\pi$
$642$	−22.2372	+	16.1563i	−0.877633	+	0.637638i
$643$	−13.3377	+	41.0491i	−0.525986	+	1.61882i	0.236372	+	0.971663i	$0.424042\pi$
$643$	−13.3377	+	41.0491i	−0.525986	+	1.61882i	−0.762358	+	0.647156i	$0.775958\pi$
$644$	0.119682	−	0.368342i	0.00471611	−	0.0145147i
$645$	9.68605	−	7.03733i	0.381388	−	0.277094i
$646$	−17.0107	−	12.3590i	−0.669276	−	0.486257i
$647$	−11.1267	−	34.2446i	−0.437438	−	1.34629i	−0.890568	−	0.454850i	$-0.849693\pi$
$647$	−11.1267	−	34.2446i	−0.437438	−	1.34629i	0.453130	−	0.891444i	$-0.350307\pi$
$648$	2.97955			0.117048
$649$	12.7625	−	28.5577i	0.500972	−	1.12099i
$650$	−10.2931			−0.403730
$651$	−0.0191930	−	0.0590698i	−0.000752231	−	0.00231513i
$652$	35.5778	+	25.8488i	1.39333	+	1.01232i
$653$	−40.9784	+	29.7726i	−1.60361	+	1.16509i	−0.723495	+	0.690330i	$0.757465\pi$
$653$	−40.9784	+	29.7726i	−1.60361	+	1.16509i	−0.880115	+	0.474761i	$0.842535\pi$
$654$	−3.75937	+	11.5702i	−0.147003	+	0.452429i
$655$	−5.75564	+	17.7140i	−0.224891	+	0.692145i
$656$	1.60074	−	1.16301i	0.0624986	−	0.0454079i
$657$	8.18380	+	5.94588i	0.319280	+	0.231971i
$658$	−0.477550	−	1.46975i	−0.0186168	−	0.0572968i
$659$	−36.5821			−1.42504			−0.712518	−	0.701654i	$-0.752445\pi$
$659$	−36.5821			−1.42504			−0.712518	+	0.701654i	$0.752445\pi$
$660$	−6.94703	−	32.9090i	−0.270413	−	1.28098i
$661$	−0.636763			−0.0247672			−0.0123836	−	0.999923i	$-0.503942\pi$
$661$	−0.636763			−0.0247672			−0.0123836	+	0.999923i	$0.503942\pi$
$662$	−3.66455	−	11.2783i	−0.142427	−	0.438345i
$663$	−3.18416	−	2.31343i	−0.123662	−	0.0898461i
$664$	−1.29807	+	0.943103i	−0.0503749	+	0.0365995i
$665$	−0.128700	+	0.396099i	−0.00499079	+	0.0153601i
$666$	3.86212	−	11.8864i	0.149654	−	0.460588i
$667$	1.62777	−	1.18264i	0.0630275	−	0.0457922i
$668$	−1.28893	−	0.936465i	−0.0498703	−	0.0362329i
$669$	4.30222	+	13.2409i	0.166333	+	0.511922i
$670$	−83.4212			−3.22284
$671$	1.73397	+	8.21404i	0.0669391	+	0.317100i
$672$	0.311593			0.0120200
$673$	3.45758	+	10.6413i	0.133280	+	0.410193i	0.995318	−	0.0966494i	$-0.0308126\pi$
$673$	3.45758	+	10.6413i	0.133280	+	0.410193i	−0.862039	+	0.506843i	$0.830813\pi$
$674$	−39.3012	−	28.5540i	−1.51383	−	1.09986i
$675$	3.61891	−	2.62929i	0.139292	−	0.101202i
$676$	1.01817	−	3.13360i	0.0391603	−	0.120523i
$677$	−2.14234	+	6.59344i	−0.0823368	+	0.253407i	−0.983747	−	0.179559i	$-0.942533\pi$
$677$	−2.14234	+	6.59344i	−0.0823368	+	0.253407i	0.901410	+	0.432966i	$0.142533\pi$
$678$	31.5634	−	22.9321i	1.21218	−	0.880703i
$679$	0.165297	+	0.120095i	0.00634352	+	0.00460884i
$680$	−11.1537	−	34.3276i	−0.427725	−	1.31640i
$681$	15.7859			0.604917
$682$	−3.31823	+	7.42495i	−0.127061	+	0.284316i
$683$	9.03941			0.345883			0.172942	−	0.984932i	$-0.444673\pi$
$683$	9.03941			0.345883			0.172942	+	0.984932i	$0.444673\pi$
$684$	2.36384	+	7.27516i	0.0903838	+	0.278173i
$685$	6.45804	+	4.69204i	0.246749	+	0.179274i
$686$	1.51865	−	1.10336i	0.0579822	−	0.0421266i
$687$	−1.35643	+	4.17465i	−0.0517509	+	0.159273i
$688$	−0.320218	+	0.985529i	−0.0122082	+	0.0375729i
$689$	−8.22353	+	5.97475i	−0.313292	+	0.227620i
$690$	−11.5556	−	8.39562i	−0.439914	−	0.319616i
$691$	9.37902	+	28.8657i	0.356795	+	1.09810i	0.954962	+	0.296730i	$0.0958960\pi$
$691$	9.37902	+	28.8657i	0.356795	+	1.09810i	−0.598167	+	0.801372i	$0.704104\pi$
$692$	−76.8767			−2.92241
$693$	−0.192219	−	0.0204743i	−0.00730179	−	0.000777756i
$694$	−50.7870			−1.92785
$695$	3.01002	+	9.26390i	0.114177	+	0.351400i
$696$	−2.40484	−	1.74722i	−0.0911552	−	0.0662281i
$697$	23.6503	−	17.1829i	0.895818	−	0.650850i
$698$	8.06430	−	24.8193i	0.305238	−	0.939426i
$699$	8.45969	−	26.0362i	0.319975	−	0.984781i
$700$	−0.694968	+	0.504924i	−0.0262673	+	0.0190843i
$701$	−10.3961	−	7.55318i	−0.392654	−	0.285280i	0.373888	−	0.927474i	$-0.378024\pi$
$701$	−10.3961	−	7.55318i	−0.392654	−	0.285280i	−0.766542	+	0.642194i	$0.778024\pi$
$702$	0.711066	+	2.18844i	0.0268374	+	0.0825972i
$703$	12.6100			0.475596
$704$	−31.5938	−	28.5272i	−1.19074	−	1.07516i
$705$	−35.4657			−1.33572
$706$	−14.3616	−	44.2004i	−0.540505	−	1.66350i
$707$	0.0157900	+	0.0114721i	0.000593844	+	0.000431453i
$708$	−25.1398	+	18.2652i	−0.944813	+	0.686447i
$709$	0.0312073	−	0.0960461i	0.00117201	−	0.00360709i	−0.950469	−	0.310820i	$-0.899396\pi$
$709$	0.0312073	−	0.0960461i	0.00117201	−	0.00360709i	0.951641	+	0.307213i	$0.0993964\pi$
$710$	10.0637	−	30.9728i	0.377683	−	1.16239i
$711$	11.4094	−	8.28941i	0.427886	−	0.310877i
$712$	23.2921	+	16.9227i	0.872907	+	0.634204i
$713$	0.664126	+	2.04397i	0.0248717	+	0.0765473i
$714$	−0.527854			−0.0197544
$715$	8.84760	−	5.09171i	0.330881	−	0.190419i
$716$	55.9482			2.09088
$717$	−0.0517577	−	0.159294i	−0.00193293	−	0.00594894i
$718$	−26.6427	−	19.3570i	−0.994295	−	0.722398i
$719$	25.2808	−	18.3676i	0.942817	−	0.684996i	−0.00628047	−	0.999980i	$-0.501999\pi$
$719$	25.2808	−	18.3676i	0.942817	−	0.684996i	0.949097	+	0.314984i	$0.101999\pi$
$720$	−0.253369	+	0.779791i	−0.00944252	+	0.0290611i
$721$	0.184907	−	0.569084i	0.00688629	−	0.0211938i
$722$	25.3361	−	18.4077i	0.942911	−	0.685065i
$723$	−3.53809	−	2.57057i	−0.131583	−	0.0956007i
$724$	19.7973	+	60.9300i	0.735763	+	2.26444i
$725$	−4.46270			−0.165741
$726$	16.8842	+	18.8574i	0.626632	+	0.699864i
$727$	37.7717			1.40088			0.700438	−	0.713714i	$-0.252988\pi$
$727$	37.7717			1.40088			0.700438	+	0.713714i	$0.252988\pi$
$728$	−0.0536640	−	0.165161i	−0.00198892	−	0.00612126i
$729$	−0.809017	−	0.587785i	−0.0299636	−	0.0217698i
$730$	−57.9604	+	42.1107i	−2.14521	+	1.55859i
$731$	−4.73107	+	14.5607i	−0.174985	+	0.538549i
$732$	2.57720	−	7.93179i	0.0952559	−	0.293167i
$733$	−24.4582	+	17.7700i	−0.903386	+	0.656348i	−0.939333	−	0.343006i	$-0.888555\pi$
$733$	−24.4582	+	17.7700i	−0.903386	+	0.656348i	0.0359477	+	0.999354i	$0.488555\pi$
$734$	−47.8097	−	34.7358i	−1.76469	−	1.28212i
$735$	−6.65455	−	20.4806i	−0.245457	−	0.755438i
$736$	−10.7819			−0.397427
$737$	33.8592	−	19.4857i	1.24722	−	0.717763i
$738$	−17.0911			−0.629130
$739$	−4.63261	−	14.2577i	−0.170413	−	0.524478i	0.828981	−	0.559277i	$-0.188921\pi$
$739$	−4.63261	−	14.2577i	−0.170413	−	0.524478i	−0.999394	+	0.0347984i	$0.988921\pi$
$740$	44.5615	+	32.3758i	1.63811	+	1.19016i
$741$	−1.87826	+	1.36464i	−0.0689998	+	0.0501313i
$742$	−0.421269	+	1.29653i	−0.0154653	+	0.0475972i
$743$	−0.499626	+	1.53769i	−0.0183295	+	0.0564125i	−0.959803	−	0.280675i	$-0.909442\pi$
$743$	−0.499626	+	1.53769i	−0.0183295	+	0.0564125i	0.941473	+	0.337087i	$0.109442\pi$
$744$	2.56873	−	1.86629i	0.0941742	−	0.0684216i
$745$	34.0700	+	24.7533i	1.24823	+	0.906892i
$746$	9.78538	+	30.1163i	0.358268	+	1.10264i
$747$	0.538505			0.0197029
$748$	31.9225	+	28.8240i	1.16720	+	1.05391i
$749$	−0.696217			−0.0254392
$750$	−1.15288	−	3.54821i	−0.0420974	−	0.129562i
$751$	5.09773	+	3.70372i	0.186019	+	0.135150i	0.676897	−	0.736078i	$-0.263324\pi$
$751$	5.09773	+	3.70372i	0.186019	+	0.135150i	−0.490879	+	0.871228i	$0.663324\pi$
$752$	2.48336	−	1.80427i	0.0905590	−	0.0657950i
$753$	−2.50271	+	7.70256i	−0.0912040	+	0.280697i
$754$	0.709394	−	2.18329i	0.0258346	−	0.0795107i
$755$	38.9546	−	28.3022i	1.41770	−	1.03002i
$756$	0.155362	+	0.112877i	0.00565045	+	0.00410530i
$757$	−13.3166	−	40.9842i	−0.483999	−	1.48959i	−0.833426	−	0.552631i	$-0.813624\pi$
$757$	−13.3166	−	40.9842i	−0.483999	−	1.48959i	0.349427	−	0.936964i	$-0.386376\pi$
$758$	−40.3626			−1.46603
$759$	6.65127	+	0.708465i	0.241426	+	0.0257157i
$760$	−21.2911			−0.772311
$761$	8.20129	+	25.2410i	0.297297	+	0.914985i	0.982440	+	0.186577i	$0.0597394\pi$
$761$	8.20129	+	25.2410i	0.297297	+	0.914985i	−0.685144	+	0.728408i	$0.740261\pi$
$762$	−36.8127	−	26.7460i	−1.33358	−	0.968904i
$763$	−0.249294	+	0.181123i	−0.00902506	+	0.00655709i
$764$	22.7721	−	70.0854i	0.823866	−	2.53560i
$765$	−3.74342	+	11.5211i	−0.135344	+	0.416545i
$766$	57.5269	−	41.7957i	2.07853	−	1.51014i
$767$	−7.63001	−	5.54353i	−0.275504	−	0.200165i
$768$	5.46481	+	16.8190i	0.197194	+	0.606902i
$769$	39.8950			1.43865			0.719325	−	0.694674i	$-0.244451\pi$
$769$	39.8950			1.43865			0.719325	+	0.694674i	$0.244451\pi$
$770$	0.558591	−	1.24992i	0.0201302	−	0.0450439i
$771$	29.5030			1.06252
$772$	17.2719	+	53.1576i	0.621631	+	1.91318i
$773$	23.6400	+	17.1754i	0.850271	+	0.617758i	0.925221	−	0.379430i	$-0.123880\pi$
$773$	23.6400	+	17.1754i	0.850271	+	0.617758i	−0.0749501	+	0.997187i	$0.523880\pi$
$774$	7.24144	−	5.26122i	0.260288	−	0.189111i
$775$	1.47303	−	4.53353i	0.0529130	−	0.162849i
$776$	−3.22769	+	9.93380i	−0.115867	+	0.356603i
$777$	0.256108	−	0.186073i	0.00918783	−	0.00667535i
$778$	52.0251	+	37.7984i	1.86519	+	1.35514i
$779$	−5.32872	−	16.4001i	−0.190921	−	0.587595i
$780$	−10.1411			−0.363111
$781$	3.15001	+	14.9220i	0.112716	+	0.533952i
$782$	18.2651			0.653159
$783$	0.308290	+	0.948820i	0.0110174	+	0.0339081i
$784$	1.50788	+	1.09554i	0.0538530	+	0.0391265i
$785$	2.43058	−	1.76592i	0.0867511	−	0.0630283i
$786$	−4.30301	+	13.2433i	−0.153483	+	0.472373i
$787$	−1.47056	+	4.52592i	−0.0524198	+	0.161332i	−0.973839	−	0.227238i	$-0.927031\pi$
$787$	−1.47056	+	4.52592i	−0.0524198	+	0.161332i	0.921419	+	0.388569i	$0.127031\pi$
$788$	−36.6123	+	26.6004i	−1.30426	+	0.947599i
$789$	20.5928	+	14.9615i	0.733122	+	0.532644i
$790$	30.8648	+	94.9921i	1.09812	+	3.37967i
$791$	0.988206			0.0351366
$792$	−2.04110	−	9.66897i	−0.0725273	−	0.343572i
$793$	2.53121			0.0898858
$794$	−0.0570083	−	0.175454i	−0.00202315	−	0.00622661i
$795$	25.3109	+	18.3894i	0.897684	+	0.652206i
$796$	57.8026	−	41.9960i	2.04876	−	1.48851i
$797$	14.6231	−	45.0054i	0.517978	−	1.59417i	−0.259820	−	0.965657i	$-0.583663\pi$
$797$	14.6231	−	45.0054i	0.517978	−	1.59417i	0.777798	−	0.628514i	$-0.216337\pi$
$798$	−0.0962184	+	0.296130i	−0.00340610	+	0.0104829i
$799$	36.6906	−	26.6573i	1.29802	−	0.943066i
$800$	19.3471	+	14.0565i	0.684025	+	0.496973i
$801$	−2.98594	−	9.18979i	−0.105503	−	0.324705i
$802$	−25.0662			−0.885120
$803$	13.6888	−	30.6305i	0.483068	−	1.08093i
$804$	−38.8095			−1.36870
$805$	−0.111799	−	0.344083i	−0.00394040	−	0.0121273i
$806$	1.98379	+	1.44131i	0.0698759	+	0.0507678i
$807$	0.890350	−	0.646877i	0.0313418	−	0.0227712i
$808$	−0.308325	+	0.948927i	−0.0108468	+	0.0333831i
$809$	10.6004	−	32.6246i	0.372689	−	1.14702i	−0.572335	−	0.820020i	$-0.693962\pi$
$809$	10.6004	−	32.6246i	0.372689	−	1.14702i	0.945024	−	0.327000i	$-0.106038\pi$
$810$	5.72973	−	4.16289i	0.201322	−	0.146269i
$811$	−3.59683	−	2.61325i	−0.126302	−	0.0917635i	0.522841	−	0.852430i	$-0.324872\pi$
$811$	−3.59683	−	2.61325i	−0.126302	−	0.0917635i	−0.649143	+	0.760667i	$0.724872\pi$
$812$	−0.0592034	−	0.182209i	−0.00207763	−	0.00639429i
$813$	−31.3251			−1.09862
$814$	−41.2183	−	4.39040i	−1.44470	−	0.153883i
$815$	41.0802			1.43898
$816$	−0.323998	−	0.997164i	−0.0113422	−	0.0349077i
$817$	7.30629	+	5.30833i	0.255615	+	0.185715i
$818$	−33.4541	+	24.3058i	−1.16970	+	0.849833i
$819$	−0.0180107	+	0.0554314i	−0.000629346	+	0.00193693i
$820$	23.2761	−	71.6364i	0.812836	−	2.50165i
$821$	−2.70497	+	1.96528i	−0.0944042	+	0.0685887i	−0.633986	−	0.773344i	$-0.718582\pi$
$821$	−2.70497	+	1.96528i	−0.0944042	+	0.0685887i	0.539582	+	0.841933i	$0.318582\pi$
$822$	4.82813	+	3.50784i	0.168400	+	0.122350i
$823$	6.68903	+	20.5867i	0.233165	+	0.717608i	0.997360	+	0.0726221i	$0.0231367\pi$
$823$	6.68903	+	20.5867i	0.233165	+	0.717608i	−0.764195	+	0.644986i	$0.776863\pi$
$824$	30.5895			1.06563
$825$	−11.0114	−	9.94260i	−0.383369	−	0.346157i
$826$	−1.26486			−0.0440103
$827$	−16.8669	−	51.9110i	−0.586520	−	1.80512i	−0.593077	−	0.805145i	$-0.702087\pi$
$827$	−16.8669	−	51.9110i	−0.586520	−	1.80512i	0.00655718	−	0.999979i	$-0.497913\pi$
$828$	−5.37592	−	3.90584i	−0.186826	−	0.135737i
$829$	38.5818	−	28.0313i	1.34000	−	0.973569i	0.340559	−	0.940223i	$-0.389384\pi$
$829$	38.5818	−	28.0313i	1.34000	−	0.973569i	0.999444	−	0.0333455i	$-0.0106162\pi$
$830$	−1.17855	+	3.62721i	−0.0409081	+	0.125902i
$831$	6.11427	−	18.8178i	0.212102	−	0.652782i
$832$	−10.3833	+	7.54393i	−0.359977	+	0.261539i
$833$	22.2783	+	16.1861i	0.771897	+	0.560816i
$834$	2.25034	+	6.92584i	0.0779229	+	0.239822i
$835$	−1.48828			−0.0515040
$836$	21.9894	−	12.6547i	0.760518	−	0.437671i
$837$	−1.06564			−0.0368339
$838$	−12.8091	−	39.4223i	−0.442483	−	1.36182i
$839$	19.7584	+	14.3553i	0.682136	+	0.495601i	0.874066	−	0.485808i	$-0.161475\pi$
$839$	19.7584	+	14.3553i	0.682136	+	0.495601i	−0.191930	+	0.981409i	$0.561475\pi$
$840$	−0.432421	+	0.314172i	−0.0149199	+	0.0108400i
$841$	−8.65393	+	26.6340i	−0.298411	+	0.918416i
$842$	6.11979	−	18.8348i	0.210902	−	0.649089i
$843$	−9.34616	+	6.79038i	−0.321899	+	0.233873i
$844$	42.8844	+	31.1574i	1.47614	+	1.07248i
$845$	−0.951111	−	2.92722i	−0.0327192	−	0.100699i
$846$	−26.5147			−0.911595
$847$	0.0652354	+	0.637797i	0.00224151	+	0.0219149i
$848$	−2.70784			−0.0929878
$849$	−6.29315	−	19.3683i	−0.215980	−	0.664719i
$850$	−32.7750	−	23.8124i	−1.12417	−	0.816759i
$851$	−8.86200	+	6.43862i	−0.303786	+	0.220713i
$852$	4.68186	−	14.4093i	0.160398	−	0.493654i
$853$	8.35683	−	25.7197i	0.286133	−	0.880625i	−0.699924	−	0.714217i	$-0.746783\pi$
$853$	8.35683	−	25.7197i	0.286133	−	0.880625i	0.986057	−	0.166408i	$-0.0532170\pi$
$854$	0.274639	−	0.199537i	0.00939795	−	0.00682801i
$855$	5.78104	+	4.20017i	0.197707	+	0.143643i
$856$	−10.9984	−	33.8495i	−0.375917	−	1.15695i
$857$	−33.1662			−1.13293			−0.566467	−	0.824084i	$-0.691690\pi$
$857$	−33.1662			−1.13293			−0.566467	+	0.824084i	$0.691690\pi$
$858$	6.61460	−	3.80664i	0.225819	−	0.129957i
$859$	3.95660			0.134998			0.0674988	−	0.997719i	$-0.478498\pi$
$859$	3.95660			0.134998			0.0674988	+	0.997719i	$0.478498\pi$
$860$	12.1901	+	37.5174i	0.415680	+	1.27933i
$861$	−0.350226	−	0.254454i	−0.0119357	−	0.00867177i
$862$	4.41674	−	3.20895i	0.150435	−	0.109297i
$863$	−2.53017	+	7.78707i	−0.0861280	+	0.265075i	−0.984840	−	0.173464i	$-0.944504\pi$
$863$	−2.53017	+	7.78707i	−0.0861280	+	0.265075i	0.898712	+	0.438539i	$0.144504\pi$
$864$	1.65204	−	5.08446i	0.0562036	−	0.172977i
$865$	−58.0984	+	42.2109i	−1.97540	+	1.43521i
$866$	1.13604	+	0.825379i	0.0386041	+	0.0280475i
$867$	0.466365	+	1.43532i	0.0158386	+	0.0487461i
$868$	0.204643			0.00694603
$869$	−34.7159	−	31.3462i	−1.17766	−	1.06335i
$870$	−7.06568			−0.239549
$871$	−3.63984	−	11.2023i	−0.123331	−	0.379575i
$872$	−12.7442	−	9.25923i	−0.431575	−	0.313557i
$873$	2.83606	−	2.06052i	0.0959862	−	0.0697381i
$874$	3.32941	−	10.2469i	0.112619	−	0.346605i
$875$	0.0292017	−	0.0898736i	0.000987197	−	0.00303828i
$876$	−26.9645	+	19.5908i	−0.911046	+	0.661913i
$877$	−7.69510	−	5.59082i	−0.259845	−	0.188789i	0.450234	−	0.892911i	$-0.351341\pi$
$877$	−7.69510	−	5.59082i	−0.259845	−	0.188789i	−0.710079	+	0.704122i	$0.751341\pi$
$878$	0.256458	+	0.789297i	0.00865504	+	0.0266375i
$879$	25.6988			0.866798
$880$	2.70407	+	0.288026i	0.0911543	+	0.00970937i
$881$	−51.3501			−1.73003			−0.865015	−	0.501746i	$-0.832691\pi$
$881$	−51.3501			−1.73003			−0.865015	+	0.501746i	$0.832691\pi$
$882$	−4.97504	−	15.3116i	−0.167518	−	0.515569i
$883$	−23.9775	−	17.4207i	−0.806907	−	0.586252i	0.106025	−	0.994363i	$-0.466187\pi$
$883$	−23.9775	−	17.4207i	−0.806907	−	0.586252i	−0.912932	+	0.408111i	$0.866187\pi$
$884$	10.4914	−	7.62242i	0.352863	−	0.256370i
$885$	−8.97013	+	27.6072i	−0.301528	+	0.928006i
$886$	−7.19919	+	22.1568i	−0.241861	+	0.744373i
$887$	13.6450	−	9.91370i	0.458155	−	0.332869i	−0.334652	−	0.942342i	$-0.608619\pi$
$887$	13.6450	−	9.91370i	0.458155	−	0.332869i	0.792807	+	0.609472i	$0.208619\pi$
$888$	13.0926	+	9.51231i	0.439358	+	0.319212i
$889$	−0.356159	−	1.09614i	−0.0119452	−	0.0367635i
$890$	68.4346			2.29393
$891$	−1.35322	+	3.02800i	−0.0453346	+	0.101442i
$892$	−45.8720			−1.53591
$893$	−8.26688	−	25.4428i	−0.276640	−	0.851412i
$894$	25.4713	+	18.5060i	0.851888	+	0.618933i
$895$	42.2820	−	30.7197i	1.41333	−	1.02685i
$896$	−0.339335	+	1.04437i	−0.0113364	+	0.0348898i
$897$	0.623219	−	1.91807i	0.0208087	−	0.0640425i
$898$	11.2910	−	8.20336i	0.376784	−	0.273750i
$899$	0.860093	+	0.624894i	0.0286857	+	0.0208414i
$900$	4.55449	+	14.0173i	0.151816	+	0.467243i
$901$	−40.0072			−1.33283
$902$	11.7080	+	55.4623i	0.389833	+	1.84669i
$903$	0.226720			0.00754476
$904$	15.6110	+	48.0458i	0.519215	+	1.59798i
$905$	48.4166	+	35.1767i	1.60942	+	1.16931i
$906$	29.1231	−	21.1592i	0.967549	−	0.702966i
$907$	6.90171	−	21.2413i	0.229168	−	0.705305i	−0.768674	−	0.639641i	$-0.779083\pi$
$907$	6.90171	−	21.2413i	0.229168	−	0.705305i	0.997842	−	0.0656647i	$-0.0209168\pi$
$908$	−16.0727	+	49.4667i	−0.533392	+	1.64161i
$909$	0.270915	−	0.196831i	0.00898568	−	0.00652848i
$910$	−0.333951	−	0.242630i	−0.0110704	−	0.00804310i
$911$	−15.3432	−	47.2215i	−0.508343	−	1.56452i	−0.795077	−	0.606508i	$-0.792570\pi$
$911$	−15.3432	−	47.2215i	−0.508343	−	1.56452i	0.286735	−	0.958010i	$-0.407430\pi$
$912$	−0.618475			−0.0204798
$913$	−0.368895	−	1.74751i	−0.0122086	−	0.0578340i
$914$	40.4836			1.33908
$915$	−2.40746	−	7.40940i	−0.0795881	−	0.244947i
$916$	−11.7006	−	8.50099i	−0.386599	−	0.280881i
$917$	−0.285344	+	0.207315i	−0.00942290	+	0.00684614i
$918$	−2.79864	+	8.61332i	−0.0923688	+	0.284282i
$919$	−2.66048	+	8.18811i	−0.0877611	+	0.270101i	−0.985300	−	0.170835i	$-0.945353\pi$
$919$	−2.66048	+	8.18811i	−0.0877611	+	0.270101i	0.897539	+	0.440936i	$0.145353\pi$
$920$	14.9629	−	10.8712i	0.493312	−	0.358412i
$921$	9.17074	+	6.66294i	0.302186	+	0.219551i
$922$	4.92128	+	15.1462i	0.162074	+	0.498812i
$923$	4.59831			0.151355
$924$	0.259870	−	0.581491i	0.00854908	−	0.0191296i
$925$	24.2961			0.798851
$926$	9.39880	+	28.9265i	0.308864	+	0.950585i
$927$	−8.30575	−	6.03448i	−0.272797	−	0.198198i
$928$	−4.31493	+	3.13498i	−0.141645	+	0.102911i
$929$	1.75959	−	5.41546i	0.0577303	−	0.177676i	−0.918033	−	0.396504i	$-0.870223\pi$
$929$	1.75959	−	5.41546i	0.0577303	−	0.177676i	0.975763	+	0.218828i	$0.0702234\pi$
$930$	2.33222	−	7.17782i	0.0764763	−	0.235370i
$931$	13.1415	−	9.54784i	0.430694	−	0.312918i
$932$	72.9738	+	53.0185i	2.39034	+	1.73668i
$933$	5.23935	+	16.1251i	0.171529	+	0.527911i
$934$	−2.65865			−0.0869936
$935$	39.9514	+	4.25546i	1.30655	+	0.139168i
$936$	−2.97955			−0.0973897
$937$	−16.3501	−	50.3205i	−0.534135	−	1.64390i	−0.745511	−	0.666493i	$-0.767795\pi$
$937$	−16.3501	−	50.3205i	−0.534135	−	1.64390i	0.211376	−	0.977405i	$-0.432205\pi$
$938$	−1.27801	−	0.928530i	−0.0417286	−	0.0303176i
$939$	−15.2807	+	11.1020i	−0.498665	+	0.362302i
$940$	36.1101	−	111.135i	1.17778	−	3.62484i
$941$	11.7880	−	36.2799i	0.384279	−	1.18269i	−0.552722	−	0.833366i	$-0.686411\pi$
$941$	11.7880	−	36.2799i	0.384279	−	1.18269i	0.937002	−	0.349325i	$-0.113589\pi$
$942$	1.81714	−	1.32023i	0.0592056	−	0.0430154i
$943$	12.1187	+	8.80477i	0.394640	+	0.286723i
$944$	−0.776377	−	2.38944i	−0.0252689	−	0.0777698i
$945$	0.179390			0.00583556
$946$	−22.0339	−	19.8951i	−0.716383	−	0.646847i
$947$	35.6956			1.15995			0.579976	−	0.814634i	$-0.303062\pi$
$947$	35.6956			1.15995			0.579976	+	0.814634i	$0.303062\pi$
$948$	14.3590	+	44.1925i	0.466359	+	1.43531i
$949$	−8.18380	−	5.94588i	−0.265657	−	0.193011i
$950$	−19.3332	+	14.0464i	−0.627253	+	0.455726i
$951$	−9.18490	+	28.2682i	−0.297841	+	0.916659i
$952$	0.211213	−	0.650045i	0.00684544	−	0.0210681i
$953$	6.13919	−	4.46039i	0.198868	−	0.144486i	−0.483895	−	0.875126i	$-0.660778\pi$
$953$	6.13919	−	4.46039i	0.198868	−	0.144486i	0.682763	+	0.730640i	$0.260778\pi$
$954$	18.9228	+	13.7482i	0.612649	+	0.445115i
$955$	−21.2723	−	65.4695i	−0.688356	−	2.11854i
$956$	0.551862			0.0178485
$957$	2.86783	−	1.65041i	0.0927039	−	0.0533502i
$958$	−83.5228			−2.69850
$959$	0.0467117	+	0.143764i	0.00150840	+	0.00464238i
$960$	31.9584	+	23.2192i	1.03145	+	0.749396i
$961$	24.1608	−	17.5539i	0.779381	−	0.566254i
$962$	−3.86212	+	11.8864i	−0.124520	+	0.383233i
$963$	−3.69129	+	11.3606i	−0.118950	+	0.366091i
$964$	11.6575	−	8.46969i	0.375464	−	0.272790i
$965$	42.2404	+	30.6894i	1.35977	+	0.987928i
$966$	−0.0835828	−	0.257242i	−0.00268923	−	0.00827661i
$967$	13.6639			0.439402			0.219701	−	0.975567i	$-0.429492\pi$
$967$	13.6639			0.439402			0.219701	+	0.975567i	$0.429492\pi$
$968$	−29.9786	+	13.2472i	−0.963549	+	0.425780i
$969$	−9.13769			−0.293545
$970$	7.67215	+	23.6124i	0.246338	+	0.758150i
$971$	−2.74730	−	1.99603i	−0.0881650	−	0.0640556i	0.542830	−	0.839843i	$-0.317353\pi$
$971$	−2.74730	−	1.99603i	−0.0881650	−	0.0640556i	−0.630995	+	0.775787i	$0.717353\pi$
$972$	2.66560	−	1.93667i	0.0854991	−	0.0621188i
$973$	−0.0569994	+	0.175426i	−0.00182732	+	0.00562390i
$974$	1.71860	−	5.28932i	0.0550677	−	0.169481i
$975$	−3.61891	+	2.62929i	−0.115898	+	0.0842048i
$976$	0.545517	+	0.396341i	0.0174616	+	0.0126866i
$977$	4.02952	+	12.4016i	0.128916	+	0.396762i	0.994594	−	0.103839i	$-0.0331126\pi$
$977$	4.02952	+	12.4016i	0.128916	+	0.396762i	−0.865678	+	0.500600i	$0.833113\pi$
$978$	30.7122			0.982069
$979$	−27.7764	+	15.9850i	−0.887737	+	0.510884i
$980$	70.9534			2.26652
$981$	1.63376	+	5.02819i	0.0521619	+	0.160538i
$982$	−50.5497	−	36.7265i	−1.61311	−	1.17199i
$983$	−0.325262	+	0.236317i	−0.0103743	+	0.00753734i	−0.592960	−	0.805232i	$-0.702041\pi$
$983$	−0.325262	+	0.236317i	−0.0103743	+	0.00753734i	0.582586	+	0.812769i	$0.302041\pi$
$984$	6.83872	−	21.0474i	0.218010	−	0.670967i
$985$	−13.0636	+	40.2056i	−0.416241	+	1.28106i
$986$	7.30970	−	5.31081i	0.232788	−	0.169131i
$987$	−0.543334	−	0.394755i	−0.0172945	−	0.0125652i
$988$	−2.36384	−	7.27516i	−0.0752039	−	0.231454i
$989$	−7.84509			−0.249459
$990$	−17.4341	−	15.7419i	−0.554092	−	0.500309i
$991$	−23.3479			−0.741671			−0.370836	−	0.928699i	$-0.620929\pi$
$991$	−23.3479			−0.741671			−0.370836	+	0.928699i	$0.620929\pi$
$992$	−1.76048	−	5.41820i	−0.0558953	−	0.172028i
$993$	−4.16936	−	3.02921i	−0.132310	−	0.0961292i
$994$	0.498922	−	0.362488i	0.0158249	−	0.0114974i
$995$	20.6245	−	63.4757i	0.653841	−	2.01231i
$996$	−0.548289	+	1.68746i	−0.0173732	+	0.0534692i
$997$	−19.1036	+	13.8796i	−0.605017	+	0.439571i	−0.847656	−	0.530546i	$-0.821987\pi$
$997$	−19.1036	+	13.8796i	−0.605017	+	0.439571i	0.242639	+	0.970117i	$0.421987\pi$
$998$	36.8258	+	26.7555i	1.16570	+	0.846930i
$999$	−1.67841	−	5.16562i	−0.0531026	−	0.163433i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.n.b.313.5	yes	20
11.3	even	5		4719.2.a.bn.1.9		10
11.8	odd	10		4719.2.a.bi.1.2		10
11.9	even	5	inner	429.2.n.b.196.5	✓	20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.n.b.196.5	✓	20	11.9	even	5	inner
429.2.n.b.313.5	yes	20	1.1	even	1	trivial
4719.2.a.bi.1.2		10	11.8	odd	10
4719.2.a.bn.1.9		10	11.3	even	5

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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.n (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.711066 + 2.18844i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-2.66560 + 1.93667i) q^{4} +(-0.951111 + 2.92722i) q^{5} +(-0.711066 + 2.18844i) q^{6} +(-0.0471527 + 0.0342585i) q^{7} +(-2.41051 - 1.75134i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(0.711066 + 2.18844i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-2.66560 + 1.93667i) q^{4} +(-0.951111 + 2.92722i) q^{5} +(-0.711066 + 2.18844i) q^{6} +(-0.0471527 + 0.0342585i) q^{7} +(-2.41051 - 1.75134i) q^{8} +(0.309017 + 0.951057i) q^{9} -7.08233 q^{10} +(2.87459 - 1.65430i) q^{11} -3.29486 q^{12} +(-0.309017 - 0.951057i) q^{13} +(-0.108501 - 0.0788307i) q^{14} +(-2.49004 + 1.80912i) q^{15} +(0.0823200 - 0.253355i) q^{16} +(1.21624 - 3.74320i) q^{17} +(-1.86159 + 1.35253i) q^{18} +(-1.87826 - 1.36464i) q^{19} +(-3.13378 - 9.64478i) q^{20} -0.0582840 q^{21} +(5.66436 + 5.11454i) q^{22} +2.01678 q^{23} +(-0.920732 - 2.83372i) q^{24} +(-3.61891 - 2.62929i) q^{25} +(1.86159 - 1.35253i) q^{26} +(-0.309017 + 0.951057i) q^{27} +(0.0593429 - 0.182639i) q^{28} +(0.807115 - 0.586403i) q^{29} +(-5.72973 - 4.16289i) q^{30} +(0.329301 + 1.01348i) q^{31} -5.34612 q^{32} +(3.29797 + 0.351286i) q^{33} +9.05658 q^{34} +(-0.0554346 - 0.170610i) q^{35} +(-2.66560 - 1.93667i) q^{36} +(-4.39414 + 3.19253i) q^{37} +(1.65085 - 5.08081i) q^{38} +(0.309017 - 0.951057i) q^{39} +(7.41921 - 5.39037i) q^{40} +(6.00896 + 4.36576i) q^{41} +(-0.0414438 - 0.127551i) q^{42} -3.88992 q^{43} +(-4.45868 + 9.97685i) q^{44} -3.07786 q^{45} +(1.43406 + 4.41359i) q^{46} +(9.32218 + 6.77296i) q^{47} +(0.215517 - 0.156582i) q^{48} +(-2.16207 + 6.65416i) q^{49} +(3.18075 - 9.78936i) q^{50} +(3.18416 - 2.31343i) q^{51} +(2.66560 + 1.93667i) q^{52} +(-3.14111 - 9.66734i) q^{53} -2.30106 q^{54} +(2.10844 + 9.98799i) q^{55} +0.173660 q^{56} +(-0.717433 - 2.20803i) q^{57} +(1.85722 + 1.34935i) q^{58} +(7.63001 - 5.54353i) q^{59} +(3.13378 - 9.64478i) q^{60} +(-0.782186 + 2.40732i) q^{61} +(-1.98379 + 1.44131i) q^{62} +(-0.0471527 - 0.0342585i) q^{63} +(-3.96608 - 12.2063i) q^{64} +3.07786 q^{65} +(1.57631 + 7.46718i) q^{66} +11.7788 q^{67} +(4.00735 + 12.3333i) q^{68} +(1.63161 + 1.18543i) q^{69} +(0.333951 - 0.242630i) q^{70} +(-1.42096 + 4.37326i) q^{71} +(0.920732 - 2.83372i) q^{72} +(8.18380 - 5.94588i) q^{73} +(-10.1112 - 7.34619i) q^{74} +(-1.38230 - 4.25429i) q^{75} +7.64956 q^{76} +(-0.0788711 + 0.176484i) q^{77} +2.30106 q^{78} +(-4.35800 - 13.4126i) q^{79} +(0.663330 + 0.481937i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-5.28142 + 16.2546i) q^{82} +(0.166407 - 0.512149i) q^{83} +(0.155362 - 0.112877i) q^{84} +(9.80040 + 7.12040i) q^{85} +(-2.76599 - 8.51283i) q^{86} +0.997649 q^{87} +(-9.82647 - 1.04667i) q^{88} -9.66272 q^{89} +(-2.18856 - 6.73570i) q^{90} +(0.0471527 + 0.0342585i) q^{91} +(-5.37592 + 3.90584i) q^{92} +(-0.329301 + 1.01348i) q^{93} +(-8.19350 + 25.2170i) q^{94} +(5.78104 - 4.20017i) q^{95} +(-4.32510 - 3.14237i) q^{96} +(-1.08328 - 3.33399i) q^{97} -16.0996 q^{98} +(2.46163 + 2.22269i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q + q^{2} + 5 q^{3} + 3 q^{4} + 4 q^{5} - q^{6} - 3 q^{7} - 7 q^{8} - 5 q^{9}+O(q^{10}) \) 20 * q + q^2 + 5 * q^3 + 3 * q^4 + 4 * q^5 - q^6 - 3 * q^7 - 7 * q^8 - 5 * q^9	\( 20 q + q^{2} + 5 q^{3} + 3 q^{4} + 4 q^{5} - q^{6} - 3 q^{7} - 7 q^{8} - 5 q^{9} - 2 q^{10} + 14 q^{11} - 18 q^{12} + 5 q^{13} - q^{14} - 4 q^{15} - 35 q^{16} + 2 q^{17} - 4 q^{18} - 2 q^{19} + 45 q^{20} - 2 q^{21} + 11 q^{22} + 6 q^{23} + 2 q^{24} - 7 q^{25} + 4 q^{26} + 5 q^{27} + 12 q^{28} + 26 q^{29} - 3 q^{30} + 20 q^{31} + 42 q^{32} + q^{33} - 24 q^{34} - 18 q^{35} + 3 q^{36} - 6 q^{37} - 3 q^{38} - 5 q^{39} - 26 q^{41} - 9 q^{42} + 28 q^{43} - 38 q^{44} - 16 q^{45} - 17 q^{46} + 8 q^{47} - 20 q^{48} + 2 q^{49} - 29 q^{50} + 3 q^{51} - 3 q^{52} + q^{53} - 6 q^{54} - 36 q^{56} - 8 q^{57} + 22 q^{58} - 21 q^{59} - 45 q^{60} + 26 q^{61} - 10 q^{62} - 3 q^{63} - 87 q^{64} + 16 q^{65} + 14 q^{66} + 56 q^{67} + 65 q^{68} + 4 q^{69} - 24 q^{70} - 28 q^{71} - 2 q^{72} + 45 q^{73} - 29 q^{74} - 3 q^{75} + 60 q^{76} + 4 q^{77} + 6 q^{78} - 15 q^{79} - 7 q^{80} - 5 q^{81} - 46 q^{82} + 36 q^{83} + 8 q^{84} + 39 q^{86} + 24 q^{87} + 73 q^{88} - 126 q^{89} - 2 q^{90} + 3 q^{91} + 2 q^{92} - 20 q^{93} - 3 q^{94} + 47 q^{95} - 47 q^{96} + 18 q^{97} - 54 q^{98} - 16 q^{99}+O(q^{100}) \) 20 * q + q^2 + 5 * q^3 + 3 * q^4 + 4 * q^5 - q^6 - 3 * q^7 - 7 * q^8 - 5 * q^9 - 2 * q^10 + 14 * q^11 - 18 * q^12 + 5 * q^13 - q^14 - 4 * q^15 - 35 * q^16 + 2 * q^17 - 4 * q^18 - 2 * q^19 + 45 * q^20 - 2 * q^21 + 11 * q^22 + 6 * q^23 + 2 * q^24 - 7 * q^25 + 4 * q^26 + 5 * q^27 + 12 * q^28 + 26 * q^29 - 3 * q^30 + 20 * q^31 + 42 * q^32 + q^33 - 24 * q^34 - 18 * q^35 + 3 * q^36 - 6 * q^37 - 3 * q^38 - 5 * q^39 - 26 * q^41 - 9 * q^42 + 28 * q^43 - 38 * q^44 - 16 * q^45 - 17 * q^46 + 8 * q^47 - 20 * q^48 + 2 * q^49 - 29 * q^50 + 3 * q^51 - 3 * q^52 + q^53 - 6 * q^54 - 36 * q^56 - 8 * q^57 + 22 * q^58 - 21 * q^59 - 45 * q^60 + 26 * q^61 - 10 * q^62 - 3 * q^63 - 87 * q^64 + 16 * q^65 + 14 * q^66 + 56 * q^67 + 65 * q^68 + 4 * q^69 - 24 * q^70 - 28 * q^71 - 2 * q^72 + 45 * q^73 - 29 * q^74 - 3 * q^75 + 60 * q^76 + 4 * q^77 + 6 * q^78 - 15 * q^79 - 7 * q^80 - 5 * q^81 - 46 * q^82 + 36 * q^83 + 8 * q^84 + 39 * q^86 + 24 * q^87 + 73 * q^88 - 126 * q^89 - 2 * q^90 + 3 * q^91 + 2 * q^92 - 20 * q^93 - 3 * q^94 + 47 * q^95 - 47 * q^96 + 18 * q^97 - 54 * q^98 - 16 * q^99

Introduction

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