LMFDB - Embedded newform 165.2.m.d.91.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(16,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("165.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.m (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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.13140625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 $ x^8 - 3x^7 + 5x^6 - 3x^5 + 4x^4 + 3x^3 + 5x^2 + 3*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			91.2
Root			$0.418926 - 1.28932i$ of defining polynomial
Character	$\chi$	$=$	165.91
Dual form			165.2.m.d.136.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.90578 - 1.38463i) q^{2} +(0.309017 + 0.951057i) q^{3} +(1.09676 - 3.37549i) q^{4} +(-0.809017 - 0.587785i) q^{5} +(1.90578 + 1.38463i) q^{6} +(0.0598032 - 0.184055i) q^{7} +(-1.12773 - 3.47080i) q^{8} +(-0.809017 + 0.587785i) q^{9} +O(q^{10})$	\(q+(1.90578 - 1.38463i) q^{2} +(0.309017 + 0.951057i) q^{3} +(1.09676 - 3.37549i) q^{4} +(-0.809017 - 0.587785i) q^{5} +(1.90578 + 1.38463i) q^{6} +(0.0598032 - 0.184055i) q^{7} +(-1.12773 - 3.47080i) q^{8} +(-0.809017 + 0.587785i) q^{9} -2.35567 q^{10} +(-1.96213 + 2.67395i) q^{11} +3.54920 q^{12} +(-0.787747 + 0.572331i) q^{13} +(-0.140877 - 0.433574i) q^{14} +(0.309017 - 0.951057i) q^{15} +(-1.21225 - 0.880754i) q^{16} +(2.16469 + 1.57274i) q^{17} +(-0.727943 + 2.24038i) q^{18} +(-1.71480 - 5.27760i) q^{19} +(-2.87136 + 2.08617i) q^{20} +0.193527 q^{21} +(-0.0369604 + 7.81280i) q^{22} -4.80040 q^{23} +(2.95244 - 2.14507i) q^{24} +(0.309017 + 0.951057i) q^{25} +(-0.708805 + 2.18148i) q^{26} +(-0.809017 - 0.587785i) q^{27} +(-0.555687 - 0.403730i) q^{28} +(-3.12657 + 9.62260i) q^{29} +(-0.727943 - 2.24038i) q^{30} +(2.02685 - 1.47259i) q^{31} +3.76902 q^{32} +(-3.14941 - 1.03980i) q^{33} +6.30309 q^{34} +(-0.156567 + 0.113752i) q^{35} +(1.09676 + 3.37549i) q^{36} +(1.76516 - 5.43260i) q^{37} +(-10.5756 - 7.68359i) q^{38} +(-0.787747 - 0.572331i) q^{39} +(-1.12773 + 3.47080i) q^{40} +(-2.55823 - 7.87342i) q^{41} +(0.368820 - 0.267964i) q^{42} +5.11353 q^{43} +(6.87391 + 9.55586i) q^{44} +1.00000 q^{45} +(-9.14851 + 6.64678i) q^{46} +(-3.35354 - 10.3211i) q^{47} +(0.463040 - 1.42509i) q^{48} +(5.63282 + 4.09248i) q^{49} +(1.90578 + 1.38463i) q^{50} +(-0.826838 + 2.54475i) q^{51} +(1.06793 + 3.28674i) q^{52} +(7.51479 - 5.45981i) q^{53} -2.35567 q^{54} +(3.15911 - 1.00996i) q^{55} -0.706260 q^{56} +(4.48940 - 3.26174i) q^{57} +(7.36518 + 22.6677i) q^{58} +(-3.46656 + 10.6690i) q^{59} +(-2.87136 - 2.08617i) q^{60} +(-0.975693 - 0.708883i) q^{61} +(1.82374 - 5.61288i) q^{62} +(0.0598032 + 0.184055i) q^{63} +(9.60743 - 6.98021i) q^{64} +0.973708 q^{65} +(-7.44184 + 2.37914i) q^{66} +3.25922 q^{67} +(7.68293 - 5.58197i) q^{68} +(-1.48341 - 4.56545i) q^{69} +(-0.140877 + 0.433574i) q^{70} +(-4.84664 - 3.52129i) q^{71} +(2.95244 + 2.14507i) q^{72} +(1.02168 - 3.14442i) q^{73} +(-4.15814 - 12.7974i) q^{74} +(-0.809017 + 0.587785i) q^{75} -19.6952 q^{76} +(0.374813 + 0.521052i) q^{77} -2.29374 q^{78} +(-8.21389 + 5.96774i) q^{79} +(0.463040 + 1.42509i) q^{80} +(0.309017 - 0.951057i) q^{81} +(-15.7772 - 11.4628i) q^{82} +(-6.72704 - 4.88748i) q^{83} +(0.212253 - 0.653249i) q^{84} +(-0.826838 - 2.54475i) q^{85} +(9.74527 - 7.08035i) q^{86} -10.1178 q^{87} +(11.4935 + 3.79468i) q^{88} +7.34270 q^{89} +(1.90578 - 1.38463i) q^{90} +(0.0582308 + 0.179216i) q^{91} +(-5.26490 + 16.2037i) q^{92} +(2.02685 + 1.47259i) q^{93} +(-20.6821 - 15.0264i) q^{94} +(-1.71480 + 5.27760i) q^{95} +(1.16469 + 3.58455i) q^{96} +(12.8248 - 9.31774i) q^{97} +16.4015 q^{98} +(0.0156899 - 3.31659i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 4 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{5} + 4 q^{6} + 3 q^{7} - q^{8} - 2 q^{9}+O(q^{10}) $ 8 * q + 4 * q^2 - 2 * q^3 + 2 * q^4 - 2 * q^5 + 4 * q^6 + 3 * q^7 - q^8 - 2 * q^9	\( 8 q + 4 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{5} + 4 q^{6} + 3 q^{7} - q^{8} - 2 q^{9} - 6 q^{10} + 3 q^{11} + 2 q^{12} - 4 q^{13} - 4 q^{14} - 2 q^{15} - 12 q^{16} - q^{18} + 2 q^{19} - 3 q^{20} - 12 q^{21} + 9 q^{22} - 6 q^{23} + 4 q^{24} - 2 q^{25} + 2 q^{26} - 2 q^{27} - 11 q^{28} + 10 q^{29} - q^{30} + 19 q^{31} + 12 q^{32} - 2 q^{33} - 6 q^{34} + 3 q^{35} + 2 q^{36} - q^{37} - 20 q^{38} - 4 q^{39} - q^{40} - 9 q^{41} + q^{42} + 17 q^{44} + 8 q^{45} - 22 q^{46} - 19 q^{47} + 13 q^{48} + q^{49} + 4 q^{50} + 10 q^{51} - 2 q^{52} + 25 q^{53} - 6 q^{54} + 3 q^{55} - 16 q^{56} + 7 q^{57} - 12 q^{58} + 13 q^{59} - 3 q^{60} + 13 q^{61} + 35 q^{62} + 3 q^{63} + 39 q^{64} - 14 q^{65} - 11 q^{66} + 2 q^{67} + 19 q^{68} + 9 q^{69} - 4 q^{70} - 11 q^{71} + 4 q^{72} - 7 q^{73} - 43 q^{74} - 2 q^{75} - 38 q^{76} - 7 q^{77} - 8 q^{78} - 22 q^{79} + 13 q^{80} - 2 q^{81} - 35 q^{82} - 21 q^{83} + 4 q^{84} + 10 q^{85} + 20 q^{86} - 30 q^{87} + 59 q^{88} - 20 q^{89} + 4 q^{90} - 11 q^{91} - 28 q^{92} + 19 q^{93} - 35 q^{94} + 2 q^{95} - 8 q^{96} + 31 q^{97} + 22 q^{98} - 7 q^{99}+O(q^{100}) \) 8 * q + 4 * q^2 - 2 * q^3 + 2 * q^4 - 2 * q^5 + 4 * q^6 + 3 * q^7 - q^8 - 2 * q^9 - 6 * q^10 + 3 * q^11 + 2 * q^12 - 4 * q^13 - 4 * q^14 - 2 * q^15 - 12 * q^16 - q^18 + 2 * q^19 - 3 * q^20 - 12 * q^21 + 9 * q^22 - 6 * q^23 + 4 * q^24 - 2 * q^25 + 2 * q^26 - 2 * q^27 - 11 * q^28 + 10 * q^29 - q^30 + 19 * q^31 + 12 * q^32 - 2 * q^33 - 6 * q^34 + 3 * q^35 + 2 * q^36 - q^37 - 20 * q^38 - 4 * q^39 - q^40 - 9 * q^41 + q^42 + 17 * q^44 + 8 * q^45 - 22 * q^46 - 19 * q^47 + 13 * q^48 + q^49 + 4 * q^50 + 10 * q^51 - 2 * q^52 + 25 * q^53 - 6 * q^54 + 3 * q^55 - 16 * q^56 + 7 * q^57 - 12 * q^58 + 13 * q^59 - 3 * q^60 + 13 * q^61 + 35 * q^62 + 3 * q^63 + 39 * q^64 - 14 * q^65 - 11 * q^66 + 2 * q^67 + 19 * q^68 + 9 * q^69 - 4 * q^70 - 11 * q^71 + 4 * q^72 - 7 * q^73 - 43 * q^74 - 2 * q^75 - 38 * q^76 - 7 * q^77 - 8 * q^78 - 22 * q^79 + 13 * q^80 - 2 * q^81 - 35 * q^82 - 21 * q^83 + 4 * q^84 + 10 * q^85 + 20 * q^86 - 30 * q^87 + 59 * q^88 - 20 * q^89 + 4 * q^90 - 11 * q^91 - 28 * q^92 + 19 * q^93 - 35 * q^94 + 2 * q^95 - 8 * q^96 + 31 * q^97 + 22 * q^98 - 7 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{4}{5}\right)$	$1$	$1$

Coefficient data

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

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

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

$2$	1.90578	−	1.38463i	1.34759	−	0.979082i	0.348463	−	0.937323i	$-0.386704\pi$
$2$	1.90578	−	1.38463i	1.34759	−	0.979082i	0.999128	−	0.0417590i	$-0.0132962\pi$
$3$	0.309017	+	0.951057i	0.178411	+	0.549093i
$3$	0.309017	+	0.951057i	0.178411	+	0.549093i
$4$	1.09676	−	3.37549i	0.548382	−	1.68775i
$5$	−0.809017	−	0.587785i	−0.361803	−	0.262866i
$5$	−0.809017	−	0.587785i	−0.361803	−	0.262866i
$6$	1.90578	+	1.38463i	0.778032	+	0.565273i
$7$	0.0598032	−	0.184055i	0.0226035	−	0.0695663i	−0.939119	−	0.343593i	$-0.888356\pi$
$7$	0.0598032	−	0.184055i	0.0226035	−	0.0695663i	0.961722	+	0.274027i	$0.0883558\pi$
$8$	−1.12773	−	3.47080i	−0.398713	−	1.22711i
$9$	−0.809017	+	0.587785i	−0.269672	+	0.195928i
$10$	−2.35567			−0.744930
$11$	−1.96213	+	2.67395i	−0.591606	+	0.806227i
$11$	−1.96213	+	2.67395i	−0.591606	+	0.806227i
$12$	3.54920			1.02457
$13$	−0.787747	+	0.572331i	−0.218482	+	0.158736i	−0.691643	−	0.722240i	$-0.743113\pi$
$13$	−0.787747	+	0.572331i	−0.218482	+	0.158736i	0.473161	+	0.880976i	$0.343113\pi$
$14$	−0.140877	−	0.433574i	−0.0376509	−	0.115878i
$15$	0.309017	−	0.951057i	0.0797878	−	0.245562i
$16$	−1.21225	−	0.880754i	−0.303063	−	0.220188i
$17$	2.16469	+	1.57274i	0.525015	+	0.381446i	0.818490	−	0.574521i	$-0.194812\pi$
$17$	2.16469	+	1.57274i	0.525015	+	0.381446i	−0.293475	+	0.955967i	$0.594812\pi$
$18$	−0.727943	+	2.24038i	−0.171578	+	0.528062i
$19$	−1.71480	−	5.27760i	−0.393402	−	1.21077i	−0.930199	−	0.367055i	$-0.880366\pi$
$19$	−1.71480	−	5.27760i	−0.393402	−	1.21077i	0.536798	−	0.843711i	$-0.319634\pi$
$20$	−2.87136	+	2.08617i	−0.642057	+	0.466481i
$21$	0.193527			0.0422311
$22$	−0.0369604	+	7.81280i	−0.00787998	+	1.66569i
$23$	−4.80040			−1.00095			−0.500476	−	0.865750i	$-0.666842\pi$
$23$	−4.80040			−1.00095			−0.500476	+	0.865750i	$0.666842\pi$
$24$	2.95244	−	2.14507i	0.602664	−	0.437861i
$25$	0.309017	+	0.951057i	0.0618034	+	0.190211i
$26$	−0.708805	+	2.18148i	−0.139008	+	0.427823i
$27$	−0.809017	−	0.587785i	−0.155695	−	0.113119i
$28$	−0.555687	−	0.403730i	−0.105015	−	0.0762978i
$29$	−3.12657	+	9.62260i	−0.580590	+	1.78687i	0.0357132	+	0.999362i	$0.488630\pi$
$29$	−3.12657	+	9.62260i	−0.580590	+	1.78687i	−0.616303	+	0.787509i	$0.711370\pi$
$30$	−0.727943	−	2.24038i	−0.132904	−	0.409035i
$31$	2.02685	−	1.47259i	0.364033	−	0.264486i	−0.390699	−	0.920518i	$-0.627767\pi$
$31$	2.02685	−	1.47259i	0.364033	−	0.264486i	0.754732	+	0.656033i	$0.227767\pi$
$32$	3.76902			0.666275
$33$	−3.14941	−	1.03980i	−0.548243	−	0.181007i
$34$	6.30309			1.08097
$35$	−0.156567	+	0.113752i	−0.0264646	+	0.0192277i
$36$	1.09676	+	3.37549i	0.182794	+	0.562582i
$37$	1.76516	−	5.43260i	0.290190	−	0.893114i	−0.694604	−	0.719392i	$-0.744421\pi$
$37$	1.76516	−	5.43260i	0.290190	−	0.893114i	0.984795	−	0.173722i	$-0.0555794\pi$
$38$	−10.5756	−	7.68359i	−1.71558	−	1.24644i
$39$	−0.787747	−	0.572331i	−0.126140	−	0.0916464i
$40$	−1.12773	+	3.47080i	−0.178310	+	0.548781i
$41$	−2.55823	−	7.87342i	−0.399529	−	1.22962i	−0.925378	−	0.379045i	$-0.876253\pi$
$41$	−2.55823	−	7.87342i	−0.399529	−	1.22962i	0.525850	−	0.850577i	$-0.323747\pi$
$42$	0.368820	−	0.267964i	0.0569102	−	0.0413477i
$43$	5.11353			0.779807			0.389903	−	0.920856i	$-0.372508\pi$
$43$	5.11353			0.779807			0.389903	+	0.920856i	$0.372508\pi$
$44$	6.87391	+	9.55586i	1.03628	+	1.44060i
$45$	1.00000			0.149071
$46$	−9.14851	+	6.64678i	−1.34887	+	0.980014i
$47$	−3.35354	−	10.3211i	−0.489164	−	1.50549i	−0.825857	−	0.563879i	$-0.809308\pi$
$47$	−3.35354	−	10.3211i	−0.489164	−	1.50549i	0.336693	−	0.941614i	$-0.390692\pi$
$48$	0.463040	−	1.42509i	0.0668340	−	0.205694i
$49$	5.63282	+	4.09248i	0.804688	+	0.584640i
$50$	1.90578	+	1.38463i	0.269518	+	0.195816i
$51$	−0.826838	+	2.54475i	−0.115781	+	0.356336i
$52$	1.06793	+	3.28674i	0.148095	+	0.455789i
$53$	7.51479	−	5.45981i	1.03224	−	0.749963i	0.0634803	−	0.997983i	$-0.479780\pi$
$53$	7.51479	−	5.45981i	1.03224	−	0.749963i	0.968755	+	0.248020i	$0.0797800\pi$
$54$	−2.35567			−0.320567
$55$	3.15911	−	1.00996i	0.425974	−	0.136183i
$56$	−0.706260			−0.0943780
$57$	4.48940	−	3.26174i	0.594635	−	0.432028i
$58$	7.36518	+	22.6677i	0.967096	+	2.97642i
$59$	−3.46656	+	10.6690i	−0.451307	+	1.38898i	0.424109	+	0.905611i	$0.360587\pi$
$59$	−3.46656	+	10.6690i	−0.451307	+	1.38898i	−0.875416	+	0.483369i	$0.839413\pi$
$60$	−2.87136	−	2.08617i	−0.370692	−	0.269323i
$61$	−0.975693	−	0.708883i	−0.124925	−	0.0907631i	0.523568	−	0.851984i	$-0.324600\pi$
$61$	−0.975693	−	0.708883i	−0.124925	−	0.0907631i	−0.648493	+	0.761221i	$0.724600\pi$
$62$	1.82374	−	5.61288i	0.231615	−	0.712836i
$63$	0.0598032	+	0.184055i	0.00753449	+	0.0231888i
$64$	9.60743	−	6.98021i	1.20093	−	0.872526i
$65$	0.973708			0.120774
$66$	−7.44184	+	2.37914i	−0.916027	+	0.292851i
$67$	3.25922			0.398176			0.199088	−	0.979982i	$-0.436202\pi$
$67$	3.25922			0.398176			0.199088	+	0.979982i	$0.436202\pi$
$68$	7.68293	−	5.58197i	0.931692	−	0.676914i
$69$	−1.48341	−	4.56545i	−0.178581	−	0.549616i
$70$	−0.140877	+	0.433574i	−0.0168380	+	0.0518220i
$71$	−4.84664	−	3.52129i	−0.575191	−	0.417901i	0.261796	−	0.965123i	$-0.415685\pi$
$71$	−4.84664	−	3.52129i	−0.575191	−	0.417901i	−0.836987	+	0.547222i	$0.815685\pi$
$72$	2.95244	+	2.14507i	0.347948	+	0.252799i
$73$	1.02168	−	3.14442i	0.119579	−	0.368026i	−0.873296	−	0.487191i	$-0.838022\pi$
$73$	1.02168	−	3.14442i	0.119579	−	0.368026i	0.992875	+	0.119165i	$0.0380216\pi$
$74$	−4.15814	−	12.7974i	−0.483374	−	1.48767i
$75$	−0.809017	+	0.587785i	−0.0934172	+	0.0678716i
$76$	−19.6952			−2.25920
$77$	0.374813	+	0.521052i	0.0427139	+	0.0593794i
$78$	−2.29374			−0.259715
$79$	−8.21389	+	5.96774i	−0.924135	+	0.671423i	−0.944550	−	0.328368i	$-0.893501\pi$
$79$	−8.21389	+	5.96774i	−0.924135	+	0.671423i	0.0204147	+	0.999792i	$0.493501\pi$
$80$	0.463040	+	1.42509i	0.0517694	+	0.159330i
$81$	0.309017	−	0.951057i	0.0343352	−	0.105673i
$82$	−15.7772	−	11.4628i	−1.74230	−	1.26586i
$83$	−6.72704	−	4.88748i	−0.738388	−	0.536471i	0.153818	−	0.988099i	$-0.450843\pi$
$83$	−6.72704	−	4.88748i	−0.738388	−	0.536471i	−0.892206	+	0.451629i	$0.850843\pi$
$84$	0.212253	−	0.653249i	0.0231588	−	0.0712753i
$85$	−0.826838	−	2.54475i	−0.0896832	−	0.276017i
$86$	9.74527	−	7.08035i	1.05086	−	0.763494i
$87$	−10.1178			−1.08474
$88$	11.4935	+	3.79468i	1.22521	+	0.404514i
$89$	7.34270			0.778325			0.389163	−	0.921169i	$-0.372764\pi$
$89$	7.34270			0.778325			0.389163	+	0.921169i	$0.372764\pi$
$90$	1.90578	−	1.38463i	0.200887	−	0.145953i
$91$	0.0582308	+	0.179216i	0.00610425	+	0.0187869i
$92$	−5.26490	+	16.2037i	−0.548904	+	1.68935i
$93$	2.02685	+	1.47259i	0.210175	+	0.152701i
$94$	−20.6821	−	15.0264i	−2.13319	−	1.54986i
$95$	−1.71480	+	5.27760i	−0.175935	+	0.541471i
$96$	1.16469	+	3.58455i	0.118871	+	0.365847i
$97$	12.8248	−	9.31774i	1.30216	−	0.946074i	0.302184	−	0.953250i	$-0.402284\pi$
$97$	12.8248	−	9.31774i	1.30216	−	0.946074i	0.999974	+	0.00717602i	$0.00228422\pi$
$98$	16.4015			1.65680
$99$	0.0156899	−	3.31659i	0.00157690	−	0.333330i
$100$	3.54920			0.354920
$101$	−10.6460	+	7.73475i	−1.05931	+	0.769636i	−0.973961	−	0.226715i	$-0.927201\pi$
$101$	−10.6460	+	7.73475i	−1.05931	+	0.769636i	−0.0853519	+	0.996351i	$0.527201\pi$
$102$	1.94776	+	5.99460i	0.192857	+	0.593553i
$103$	1.23525	−	3.80172i	0.121713	−	0.374595i	−0.871575	−	0.490263i	$-0.836901\pi$
$103$	1.23525	−	3.80172i	0.121713	−	0.374595i	0.993288	+	0.115668i	$0.0369009\pi$
$104$	2.87481	+	2.08867i	0.281899	+	0.204811i
$105$	−0.156567	−	0.113752i	−0.0152793	−	0.0111011i
$106$	6.76171	−	20.8104i	0.656755	−	2.02129i
$107$	1.51011	+	4.64764i	0.145988	+	0.449304i	0.997137	−	0.0756201i	$-0.0240936\pi$
$107$	1.51011	+	4.64764i	0.145988	+	0.449304i	−0.851149	+	0.524924i	$0.824094\pi$
$108$	−2.87136	+	2.08617i	−0.276297	+	0.200742i
$109$	−7.51977			−0.720263			−0.360131	−	0.932902i	$-0.617268\pi$
$109$	−7.51977			−0.720263			−0.360131	+	0.932902i	$0.617268\pi$
$110$	4.62215	−	6.29896i	0.440705	−	0.600583i
$111$	5.71217			0.542176
$112$	−0.234604	+	0.170450i	−0.0221680	+	0.0161060i
$113$	6.24947	+	19.2339i	0.587901	+	1.80937i	0.587296	+	0.809372i	$0.300192\pi$
$113$	6.24947	+	19.2339i	0.587901	+	1.80937i	0.000604375		1.00000i	$0.499808\pi$
$114$	4.03950	−	12.4323i	0.378334	−	1.16439i
$115$	3.88361	+	2.82160i	0.362148	+	0.263116i
$116$	29.0519	+	21.1074i	2.69740	+	1.95978i
$117$	0.300892	−	0.926052i	0.0278175	−	0.0856135i
$118$	8.16608	+	25.1326i	0.751748	+	2.31364i
$119$	0.418926	−	0.304368i	0.0384029	−	0.0279014i
$120$	−3.64941			−0.333144
$121$	−3.30005	−	10.4933i	−0.300005	−	0.953938i
$122$	−2.84100			−0.257212
$123$	6.69754	−	4.86604i	0.603896	−	0.438756i
$124$	−2.74775	−	8.45670i	−0.246755	−	0.759434i
$125$	0.309017	−	0.951057i	0.0276393	−	0.0850651i
$126$	0.368820	+	0.267964i	0.0328571	+	0.0238721i
$127$	−5.74419	−	4.17340i	−0.509715	−	0.370329i	0.303001	−	0.952990i	$-0.402012\pi$
$127$	−5.74419	−	4.17340i	−0.509715	−	0.370329i	−0.812715	+	0.582661i	$0.802012\pi$
$128$	6.31526	−	19.4364i	0.558196	−	1.71795i
$129$	1.58017	+	4.86326i	0.139126	+	0.428186i
$130$	1.85567	−	1.34823i	0.162753	−	0.118247i
$131$	−2.50024			−0.218447			−0.109223	−	0.994017i	$-0.534836\pi$
$131$	−2.50024			−0.218447			−0.109223	+	0.994017i	$0.534836\pi$
$132$	−6.96401	+	9.49040i	−0.606139	+	0.826033i
$133$	−1.07392			−0.0931207
$134$	6.21135	−	4.51281i	0.536579	−	0.389847i
$135$	0.309017	+	0.951057i	0.0265959	+	0.0818539i
$136$	3.01748	−	9.28684i	0.258746	−	0.796340i
$137$	12.3734	+	8.98981i	1.05713	+	0.768052i	0.973556	−	0.228450i	$-0.0733657\pi$
$137$	12.3734	+	8.98981i	1.05713	+	0.768052i	0.0835766	+	0.996501i	$0.473366\pi$
$138$	−9.14851	−	6.64678i	−0.778773	−	0.565812i
$139$	−6.07484	+	18.6964i	−0.515261	+	1.58581i	0.267544	+	0.963546i	$0.413788\pi$
$139$	−6.07484	+	18.6964i	−0.515261	+	1.58581i	−0.782806	+	0.622266i	$0.786212\pi$
$140$	0.212253	+	0.653249i	0.0179387	+	0.0552096i
$141$	8.77969	−	6.37882i	0.739383	−	0.537193i
$142$	−14.1123			−1.18428
$143$	0.0152774	−	3.22939i	0.00127756	−	0.270055i
$144$	1.49843			0.124869
$145$	8.18547	−	5.94709i	0.679766	−	0.493879i
$146$	−2.40675	−	7.40722i	−0.199184	−	0.613026i
$147$	−2.15155	+	6.62178i	−0.177456	+	0.546155i
$148$	−16.4017	−	11.9166i	−1.34821	−	0.979535i
$149$	8.19771	+	5.95599i	0.671583	+	0.487933i	0.870555	−	0.492072i	$-0.163760\pi$
$149$	8.19771	+	5.95599i	0.671583	+	0.487933i	−0.198972	+	0.980005i	$0.563760\pi$
$150$	−0.727943	+	2.24038i	−0.0594363	+	0.182926i
$151$	3.69682	+	11.3776i	0.300843	+	0.925899i	0.981196	+	0.193015i	$0.0618264\pi$
$151$	3.69682	+	11.3776i	0.300843	+	0.925899i	−0.680353	+	0.732884i	$0.738174\pi$
$152$	−16.3837	+	11.9034i	−1.32889	+	0.965496i
$153$	−2.67571			−0.216318
$154$	1.43578	+	0.474033i	0.115698	+	0.0381987i
$155$	−2.50533			−0.201233
$156$	−2.79587	+	2.03132i	−0.223849	+	0.162636i
$157$	−0.811494	−	2.49752i	−0.0647643	−	0.199324i	0.913438	−	0.406978i	$-0.133417\pi$
$157$	−0.811494	−	2.49752i	−0.0647643	−	0.199324i	−0.978202	+	0.207654i	$0.933417\pi$
$158$	−7.39076	+	22.7464i	−0.587977	+	1.80961i
$159$	7.51479	+	5.45981i	0.595961	+	0.432991i
$160$	−3.04920	−	2.21537i	−0.241061	−	0.175141i
$161$	−0.287079	+	0.883539i	−0.0226250	+	0.0696326i
$162$	−0.727943	−	2.24038i	−0.0571926	−	0.176021i
$163$	−19.1927	+	13.9443i	−1.50329	+	1.09220i	−0.534238	+	0.845334i	$0.679402\pi$
$163$	−19.1927	+	13.9443i	−1.50329	+	1.09220i	−0.969049	+	0.246868i	$0.920598\pi$
$164$	−29.3825			−2.29438
$165$	1.93675	+	2.69240i	0.150776	+	0.209603i
$166$	−19.5876			−1.52029
$167$	−2.82488	+	2.05240i	−0.218596	+	0.158819i	−0.691694	−	0.722190i	$-0.743135\pi$
$167$	−2.82488	+	2.05240i	−0.218596	+	0.158819i	0.473098	+	0.881010i	$0.343135\pi$
$168$	−0.218246	−	0.671694i	−0.0168381	−	0.0518223i
$169$	−3.72424	+	11.4620i	−0.286480	+	0.881695i
$170$	−5.09931	−	3.70486i	−0.391099	−	0.284150i
$171$	4.48940	+	3.26174i	0.343313	+	0.249431i
$172$	5.60834	−	17.2607i	0.427632	−	1.31612i
$173$	−6.29145	−	19.3631i	−0.478330	−	1.47215i	−0.841413	−	0.540392i	$-0.818276\pi$
$173$	−6.29145	−	19.3631i	−0.478330	−	1.47215i	0.363083	−	0.931757i	$-0.381724\pi$
$174$	−19.2823	+	14.0094i	−1.46179	+	1.06205i
$175$	0.193527			0.0146293
$176$	4.73370	−	1.51335i	0.356816	−	0.114073i
$177$	−11.2180			−0.843197
$178$	13.9936	−	10.1669i	1.04886	−	0.762044i
$179$	1.19008	+	3.66268i	0.0889506	+	0.273762i	0.985630	−	0.168919i	$-0.0540276\pi$
$179$	1.19008	+	3.66268i	0.0889506	+	0.273762i	−0.896679	+	0.442681i	$0.854028\pi$
$180$	1.09676	−	3.37549i	0.0817479	−	0.251594i
$181$	14.2509	+	10.3539i	1.05926	+	0.769599i	0.973952	−	0.226755i	$-0.0728117\pi$
$181$	14.2509	+	10.3539i	1.05926	+	0.769599i	0.0853107	+	0.996354i	$0.472812\pi$
$182$	0.359123	+	0.260918i	0.0266200	+	0.0193406i
$183$	0.372682	−	1.14700i	0.0275494	−	0.0847884i
$184$	5.41356	+	16.6612i	0.399093	+	1.22828i
$185$	−4.62125	+	3.35753i	−0.339761	+	0.246851i
$186$	5.90173			0.432736
$187$	−8.45285	+	2.70236i	−0.618134	+	0.197616i
$188$	−38.5170			−2.80914
$189$	−0.156567	+	0.113752i	−0.0113886	+	0.00827427i
$190$	4.03950	+	12.4323i	0.293056	+	0.901935i
$191$	0.128891	−	0.396685i	0.00932620	−	0.0287031i	−0.946285	−	0.323333i	$-0.895196\pi$
$191$	0.128891	−	0.396685i	0.00932620	−	0.0287031i	0.955611	+	0.294630i	$0.0951965\pi$
$192$	9.60743	+	6.98021i	0.693357	+	0.503753i
$193$	−9.46269	−	6.87505i	−0.681140	−	0.494877i	0.192596	−	0.981278i	$-0.438309\pi$
$193$	−9.46269	−	6.87505i	−0.681140	−	0.494877i	−0.873736	+	0.486401i	$0.838309\pi$
$194$	11.5396	−	35.5151i	0.828493	−	2.54984i
$195$	0.300892	+	0.926052i	0.0215474	+	0.0663159i
$196$	19.9920	−	14.5250i	1.42800	−	1.03750i
$197$	21.5958			1.53864			0.769320	−	0.638863i	$-0.220595\pi$
$197$	21.5958			1.53864			0.769320	+	0.638863i	$0.220595\pi$
$198$	−4.56235	−	6.34241i	−0.324232	−	0.450736i
$199$	7.76028			0.550111			0.275056	−	0.961428i	$-0.411304\pi$
$199$	7.76028			0.550111			0.275056	+	0.961428i	$0.411304\pi$
$200$	2.95244	−	2.14507i	0.208769	−	0.151679i
$201$	1.00715	+	3.09970i	0.0710391	+	0.218636i
$202$	−9.57911	+	29.4815i	−0.673984	+	2.07431i
$203$	1.58411	+	1.15092i	0.111183	+	0.0807790i
$204$	7.68293	+	5.58197i	0.537912	+	0.390816i
$205$	−2.55823	+	7.87342i	−0.178675	+	0.549904i
$206$	−2.90986	−	8.95561i	−0.202739	−	0.623967i
$207$	3.88361	−	2.82160i	0.269929	−	0.196115i
$208$	1.45903			0.101166
$209$	17.4767	+	5.77008i	1.20889	+	0.399125i
$210$	−0.455887			−0.0314592
$211$	10.1173	−	7.35065i	0.696504	−	0.506040i	−0.182288	−	0.983245i	$-0.558350\pi$
$211$	10.1173	−	7.35065i	0.696504	−	0.506040i	0.878792	+	0.477205i	$0.158350\pi$
$212$	−10.1876	−	31.3542i	−0.699687	−	2.15342i
$213$	1.85125	−	5.69757i	0.126846	−	0.390391i
$214$	9.31320	+	6.76644i	0.636637	+	0.462544i
$215$	−4.13694	−	3.00566i	−0.282137	−	0.204984i
$216$	−1.12773	+	3.47080i	−0.0767324	+	0.236158i
$217$	−0.149826	−	0.461118i	−0.0101709	−	0.0313027i
$218$	−14.3310	+	10.4121i	−0.970619	+	0.705196i
$219$	3.30624			0.223415
$220$	0.0556868	−	11.7712i	0.00375440	−	0.793617i
$221$	−2.60536			−0.175255
$222$	10.8861	−	7.90925i	0.730631	−	0.530834i
$223$	−1.66118	−	5.11257i	−0.111241	−	0.342363i	0.879904	−	0.475152i	$-0.157607\pi$
$223$	−1.66118	−	5.11257i	−0.111241	−	0.342363i	−0.991144	+	0.132789i	$0.957607\pi$
$224$	0.225399	−	0.693708i	0.0150601	−	0.0463503i
$225$	−0.809017	−	0.587785i	−0.0539345	−	0.0391857i
$226$	38.5419	+	28.0024i	2.56377	+	1.86269i
$227$	−6.72202	+	20.6882i	−0.446156	+	1.37313i	0.435055	+	0.900404i	$0.356729\pi$
$227$	−6.72202	+	20.6882i	−0.446156	+	1.37313i	−0.881211	+	0.472723i	$0.843271\pi$
$228$	−6.08616	−	18.7313i	−0.403066	−	1.24051i
$229$	−2.16068	+	1.56983i	−0.142782	+	0.103737i	−0.656883	−	0.753992i	$-0.728126\pi$
$229$	−2.16068	+	1.56983i	−0.142782	+	0.103737i	0.514101	+	0.857730i	$0.328126\pi$
$230$	11.3082			0.745639
$231$	−0.379726	+	0.517482i	−0.0249842	+	0.0340478i
$232$	36.9240			2.42418
$233$	4.63323	−	3.36624i	0.303533	−	0.220530i	−0.425584	−	0.904919i	$-0.639931\pi$
$233$	4.63323	−	3.36624i	0.303533	−	0.220530i	0.729117	+	0.684389i	$0.239931\pi$
$234$	−0.708805	−	2.18148i	−0.0463360	−	0.142608i
$235$	−3.35354	+	10.3211i	−0.218761	+	0.673277i
$236$	32.2110	+	23.4027i	2.09676	+	1.52338i
$237$	−8.21389	−	5.96774i	−0.533550	−	0.387647i
$238$	0.376945	−	1.16012i	0.0244337	−	0.0751992i
$239$	−7.53013	−	23.1754i	−0.487084	−	1.49909i	−0.828940	−	0.559337i	$-0.811056\pi$
$239$	−7.53013	−	23.1754i	−0.487084	−	1.49909i	0.341857	−	0.939752i	$-0.388944\pi$
$240$	−1.21225	+	0.880754i	−0.0782506	+	0.0568524i
$241$	−16.7082			−1.07627			−0.538135	−	0.842859i	$-0.680871\pi$
$241$	−16.7082			−1.07627			−0.538135	+	0.842859i	$0.680871\pi$
$242$	−20.8185	−	15.4286i	−1.33827	−	0.991788i
$243$	1.00000			0.0641500
$244$	−3.46293	+	2.51597i	−0.221691	+	0.161068i
$245$	−2.15155	−	6.62178i	−0.137457	−	0.423050i
$246$	6.02636	−	18.5472i	0.384227	−	1.18253i
$247$	4.37136	+	3.17598i	0.278143	+	0.202083i
$248$	−7.39682	−	5.37410i	−0.469698	−	0.341256i
$249$	2.56950	−	7.90811i	0.162835	−	0.501156i
$250$	−0.727943	−	2.24038i	−0.0460392	−	0.141694i
$251$	13.0239	−	9.46240i	0.822060	−	0.597262i	−0.0952418	−	0.995454i	$-0.530362\pi$
$251$	13.0239	−	9.46240i	0.822060	−	0.597262i	0.917302	+	0.398193i	$0.130362\pi$
$252$	0.686867			0.0432685
$253$	9.41903	−	12.8360i	0.592169	−	0.806995i
$254$	−16.7258			−1.04947
$255$	2.16469	−	1.57274i	0.135558	−	0.0984888i
$256$	−7.53728	−	23.1974i	−0.471080	−	1.44984i
$257$	1.84445	−	5.67662i	0.115053	−	0.354098i	−0.876905	−	0.480664i	$-0.840396\pi$
$257$	1.84445	−	5.67662i	0.115053	−	0.354098i	0.991958	+	0.126566i	$0.0403956\pi$
$258$	9.74527	+	7.08035i	0.606714	+	0.440804i
$259$	−0.894336	−	0.649773i	−0.0555713	−	0.0403749i
$260$	1.06793	−	3.28674i	0.0662301	−	0.203835i
$261$	−3.12657	−	9.62260i	−0.193530	−	0.595624i
$262$	−4.76490	+	3.46191i	−0.294377	+	0.213877i
$263$	−0.451149			−0.0278190			−0.0139095	−	0.999903i	$-0.504428\pi$
$263$	−0.451149			−0.0278190			−0.0139095	+	0.999903i	$0.504428\pi$
$264$	−0.0572591	+	12.1036i	−0.00352405	+	0.744925i
$265$	−9.28879			−0.570606
$266$	−2.04666	+	1.48698i	−0.125489	+	0.0911728i
$267$	2.26902	+	6.98333i	0.138862	+	0.427373i
$268$	3.57459	−	11.0015i	0.218353	−	0.672021i
$269$	−11.9085	−	8.65203i	−0.726074	−	0.527524i	0.162245	−	0.986751i	$-0.448127\pi$
$269$	−11.9085	−	8.65203i	−0.726074	−	0.527524i	−0.888319	+	0.459227i	$0.848127\pi$
$270$	1.90578	+	1.38463i	0.115982	+	0.0842659i
$271$	1.36829	−	4.21115i	0.0831175	−	0.255809i	−0.900858	−	0.434114i	$-0.857061\pi$
$271$	1.36829	−	4.21115i	0.0831175	−	0.255809i	0.983975	+	0.178305i	$0.0570614\pi$
$272$	−1.23896	−	3.81312i	−0.0751228	−	0.231204i
$273$	−0.152450	+	0.110762i	−0.00922671	+	0.00670360i
$274$	36.0286			2.17657
$275$	−3.14941	−	1.03980i	−0.189917	−	0.0627025i
$276$	−17.0376			−1.02554
$277$	0.0746965	−	0.0542702i	0.00448808	−	0.00326078i	−0.585539	−	0.810644i	$-0.699117\pi$
$277$	0.0746965	−	0.0542702i	0.00448808	−	0.00326078i	0.590027	+	0.807383i	$0.299117\pi$
$278$	14.3104	+	44.0427i	0.858278	+	2.64151i
$279$	−0.774188	+	2.38271i	−0.0463494	+	0.142649i
$280$	0.571377	+	0.415129i	0.0341463	+	0.0248087i
$281$	−4.19314	−	3.04650i	−0.250142	−	0.181739i	0.455648	−	0.890160i	$-0.349408\pi$
$281$	−4.19314	−	3.04650i	−0.250142	−	0.181739i	−0.705790	+	0.708421i	$0.749408\pi$
$282$	7.89985	−	24.3133i	0.470429	−	1.44783i
$283$	0.483496	+	1.48805i	0.0287408	+	0.0884552i	0.964398	−	0.264455i	$-0.0851921\pi$
$283$	0.483496	+	1.48805i	0.0287408	+	0.0884552i	−0.935657	+	0.352910i	$0.885192\pi$
$284$	−17.2017	+	12.4978i	−1.02073	+	0.741607i
$285$	−5.54920			−0.328706
$286$	−4.44240	−	6.17566i	−0.262684	−	0.365174i
$287$	−1.60214			−0.0945710
$288$	−3.04920	+	2.21537i	−0.179676	+	0.130542i
$289$	−3.04091	−	9.35897i	−0.178877	−	0.550527i
$290$	7.36518	−	22.6677i	0.432498	−	1.33109i
$291$	12.8248	+	9.31774i	0.751802	+	0.546216i
$292$	−9.49341	−	6.89736i	−0.555560	−	0.403638i
$293$	−7.15592	+	22.0236i	−0.418053	+	1.28664i	0.491438	+	0.870912i	$0.336471\pi$
$293$	−7.15592	+	22.0236i	−0.418053	+	1.28664i	−0.909491	+	0.415723i	$0.863529\pi$
$294$	5.06834	+	15.5987i	0.295592	+	0.909737i
$295$	9.07556	−	6.59378i	0.528400	−	0.383905i
$296$	−20.8461			−1.21165
$297$	3.15911	−	1.00996i	0.183310	−	0.0586038i
$298$	23.8699			1.38274
$299$	3.78150	−	2.74742i	0.218690	−	0.158887i
$300$	1.09676	+	3.37549i	0.0633217	+	0.194884i
$301$	0.305805	−	0.941172i	0.0176263	−	0.0542483i
$302$	22.7991	+	16.5646i	1.31194	+	0.953183i
$303$	−10.6460	−	7.73475i	−0.611595	−	0.444350i
$304$	−2.56950	+	7.90811i	−0.147371	+	0.453561i
$305$	0.372682	+	1.14700i	0.0213397	+	0.0656768i
$306$	−5.09931	+	3.70486i	−0.291508	+	0.211793i
$307$	−7.72480			−0.440878			−0.220439	−	0.975401i	$-0.570749\pi$
$307$	−7.72480			−0.440878			−0.220439	+	0.975401i	$0.570749\pi$
$308$	2.16989	−	0.693708i	0.123641	−	0.0395277i
$309$	3.99737			0.227402
$310$	−4.77460	+	3.46895i	−0.271179	+	0.197023i
$311$	−5.90867	−	18.1850i	−0.335050	−	1.03118i	−0.966697	−	0.255922i	$-0.917621\pi$
$311$	−5.90867	−	18.1850i	−0.335050	−	1.03118i	0.631647	−	0.775256i	$-0.282379\pi$
$312$	−1.09808	+	3.37955i	−0.0621666	+	0.191329i
$313$	−2.34863	−	1.70638i	−0.132752	−	0.0964503i	0.519427	−	0.854515i	$-0.326145\pi$
$313$	−2.34863	−	1.70638i	−0.132752	−	0.0964503i	−0.652180	+	0.758064i	$0.726145\pi$
$314$	−5.00468	−	3.63611i	−0.282430	−	0.205198i
$315$	0.0598032	−	0.184055i	0.00336953	−	0.0103703i
$316$	11.1354	+	34.2711i	0.626413	+	1.92790i
$317$	−1.82962	+	1.32930i	−0.102762	+	0.0746607i	−0.637979	−	0.770053i	$-0.720230\pi$
$317$	−1.82962	+	1.32930i	−0.102762	+	0.0746607i	0.535218	+	0.844714i	$0.320230\pi$
$318$	21.8814			1.22705
$319$	−19.5956	−	27.2411i	−1.09714	−	1.52521i
$320$	−11.8754			−0.663857
$321$	−3.95352	+	2.87240i	−0.220664	+	0.160322i
$322$	0.676265	+	2.08133i	0.0376868	+	0.115988i
$323$	4.58829	−	14.1213i	0.255299	−	0.785731i
$324$	−2.87136	−	2.08617i	−0.159520	−	0.115898i
$325$	−0.787747	−	0.572331i	−0.0436963	−	0.0317472i
$326$	−17.2693	+	53.1496i	−0.956460	+	2.94368i
$327$	−2.32374	−	7.15172i	−0.128503	−	0.395491i
$328$	−24.4421	+	17.7582i	−1.34959	+	0.980533i
$329$	−2.10021			−0.115788
$330$	7.41899	+	2.44944i	0.408402	+	0.134837i
$331$	6.02336			0.331074			0.165537	−	0.986204i	$-0.447064\pi$
$331$	6.02336			0.331074			0.165537	+	0.986204i	$0.447064\pi$
$332$	−23.8756	+	17.3466i	−1.31034	+	0.952021i
$333$	1.76516	+	5.43260i	0.0967301	+	0.297705i
$334$	−2.54179	+	7.82284i	−0.139081	+	0.428047i
$335$	−2.63676	−	1.91572i	−0.144062	−	0.104667i
$336$	−0.234604	−	0.170450i	−0.0127987	−	0.00929879i
$337$	−4.50076	+	13.8519i	−0.245172	+	0.754562i	0.750436	+	0.660943i	$0.229843\pi$
$337$	−4.50076	+	13.8519i	−0.245172	+	0.754562i	−0.995608	+	0.0936187i	$0.970157\pi$
$338$	8.77310	+	27.0008i	0.477193	+	1.46865i
$339$	−16.3613	+	11.8872i	−0.888625	+	0.645624i
$340$	−9.49662			−0.515026
$341$	−0.0393084	+	8.30913i	−0.00212867	+	0.449965i
$342$	13.0721			0.706859
$343$	2.18607	−	1.58827i	0.118037	−	0.0857587i
$344$	−5.76669	−	17.7480i	−0.310919	−	0.956911i
$345$	−1.48341	+	4.56545i	−0.0798639	+	0.245796i
$346$	−38.8009	−	28.1905i	−2.08595	−	1.51553i
$347$	−23.3281	−	16.9489i	−1.25232	−	0.909863i	−0.253965	−	0.967213i	$-0.581735\pi$
$347$	−23.3281	−	16.9489i	−1.25232	−	0.909863i	−0.998354	+	0.0573506i	$0.981735\pi$
$348$	−11.0968	+	34.1525i	−0.594853	+	1.83077i
$349$	−0.504421	−	1.55245i	−0.0270010	−	0.0831006i	0.936648	−	0.350272i	$-0.113911\pi$
$349$	−0.504421	−	1.55245i	−0.0270010	−	0.0831006i	−0.963649	+	0.267172i	$0.913911\pi$
$350$	0.368820	−	0.267964i	0.0197143	−	0.0143233i
$351$	0.973708			0.0519727
$352$	−7.39533	+	10.0782i	−0.394172	+	0.537169i
$353$	24.9297			1.32687			0.663437	−	0.748232i	$-0.269097\pi$
$353$	24.9297			1.32687			0.663437	+	0.748232i	$0.269097\pi$
$354$	−21.3791	+	15.5328i	−1.13628	+	0.825559i
$355$	1.85125	+	5.69757i	0.0982543	+	0.302396i
$356$	8.05321	−	24.7852i	0.426819	−	1.31361i
$357$	0.418926	+	0.304368i	0.0221719	+	0.0161089i
$358$	7.33949	+	5.33245i	0.387904	+	0.281829i
$359$	8.78874	−	27.0489i	0.463852	−	1.42759i	−0.396569	−	0.918005i	$-0.629799\pi$
$359$	8.78874	−	27.0489i	0.463852	−	1.42759i	0.860421	−	0.509584i	$-0.170201\pi$
$360$	−1.12773	−	3.47080i	−0.0594366	−	0.182927i
$361$	−9.54125	+	6.93213i	−0.502171	+	0.364849i
$362$	41.4955			2.18095
$363$	8.95996	−	6.38115i	0.470276	−	0.334924i
$364$	0.668808			0.0350550
$365$	−2.67480	+	1.94336i	−0.140005	+	0.101720i
$366$	−0.877916	−	2.70195i	−0.0458894	−	0.141233i
$367$	−3.22653	+	9.93023i	−0.168423	+	0.518354i	−0.999272	−	0.0381442i	$-0.987855\pi$
$367$	−3.22653	+	9.93023i	−0.168423	+	0.518354i	0.830849	+	0.556498i	$0.187855\pi$
$368$	5.81930	+	4.22797i	0.303352	+	0.220398i
$369$	6.69754	+	4.86604i	0.348660	+	0.253316i
$370$	−4.15814	+	12.7974i	−0.216171	+	0.665307i
$371$	−0.555499	−	1.70965i	−0.0288401	−	0.0887606i
$372$	7.19370	−	5.22653i	0.372976	−	0.270983i
$373$	−2.81747			−0.145883			−0.0729416	−	0.997336i	$-0.523239\pi$
$373$	−2.81747			−0.145883			−0.0729416	+	0.997336i	$0.523239\pi$
$374$	−12.3675	+	16.8542i	−0.639509	+	0.871508i
$375$	1.00000			0.0516398
$376$	−32.0407	+	23.2789i	−1.65237	+	1.20052i
$377$	−3.04437	−	9.36960i	−0.156793	−	0.482559i
$378$	−0.140877	+	0.433574i	−0.00724592	+	0.0223006i
$379$	−7.22711	−	5.25080i	−0.371231	−	0.269715i	0.386490	−	0.922294i	$-0.373687\pi$
$379$	−7.22711	−	5.25080i	−0.371231	−	0.269715i	−0.757721	+	0.652578i	$0.773687\pi$
$380$	15.9338	+	11.5766i	0.817386	+	0.593865i
$381$	2.19409	−	6.75270i	0.112406	−	0.345951i
$382$	−0.303625	−	0.934460i	−0.0155348	−	0.0478111i
$383$	6.90317	−	5.01545i	0.352736	−	0.256278i	−0.397280	−	0.917697i	$-0.630046\pi$
$383$	6.90317	−	5.01545i	0.352736	−	0.256278i	0.750016	+	0.661420i	$0.230046\pi$
$384$	20.4366			1.04290
$385$	0.00303643	−	0.641850i	0.000154751	−	0.0327117i
$386$	−27.5532			−1.40242
$387$	−4.13694	+	3.00566i	−0.210292	+	0.152786i
$388$	−17.3862	−	53.5093i	−0.882651	−	2.71652i
$389$	3.63890	−	11.1994i	0.184500	−	0.567832i	−0.815440	−	0.578842i	$-0.803505\pi$
$389$	3.63890	−	11.1994i	0.184500	−	0.567832i	0.999939	+	0.0110104i	$0.00350478\pi$
$390$	1.85567	+	1.34823i	0.0939657	+	0.0682701i
$391$	−10.3914	−	7.54978i	−0.525515	−	0.381809i
$392$	7.85188	−	24.1656i	0.396580	−	1.22055i
$393$	−0.772616	−	2.37787i	−0.0389733	−	0.119948i
$394$	41.1569	−	29.9023i	2.07346	−	1.50645i
$395$	10.1529			0.510849
$396$	−11.1779	−	3.69047i	−0.561711	−	0.185453i
$397$	−1.41214			−0.0708735			−0.0354368	−	0.999372i	$-0.511282\pi$
$397$	−1.41214			−0.0708735			−0.0354368	+	0.999372i	$0.511282\pi$
$398$	14.7894	−	10.7451i	0.741325	−	0.538604i
$399$	−0.331860	−	1.02136i	−0.0166138	−	0.0511319i
$400$	0.463040	−	1.42509i	0.0231520	−	0.0712545i
$401$	−6.84361	−	4.97217i	−0.341753	−	0.248298i	0.403648	−	0.914914i	$-0.367742\pi$
$401$	−6.84361	−	4.97217i	−0.341753	−	0.248298i	−0.745401	+	0.666616i	$0.767742\pi$
$402$	6.21135	+	4.51281i	0.309794	+	0.225078i
$403$	−0.753833	+	2.32006i	−0.0375511	+	0.115570i
$404$	14.4325	+	44.4185i	0.718042	+	2.20991i
$405$	−0.809017	+	0.587785i	−0.0402004	+	0.0292073i
$406$	4.61257			0.228918
$407$	11.0630	+	15.3794i	0.548375	+	0.762331i
$408$	9.76476			0.483428
$409$	−8.19172	+	5.95163i	−0.405054	+	0.294289i	−0.771597	−	0.636112i	$-0.780542\pi$
$409$	−8.19172	+	5.95163i	−0.405054	+	0.294289i	0.366542	+	0.930401i	$0.380542\pi$
$410$	6.02636	+	18.5472i	0.297621	+	0.915982i
$411$	−4.72622	+	14.5458i	−0.233127	+	0.717493i
$412$	−11.4779	−	8.33918i	−0.565475	−	0.410842i
$413$	1.75637	+	1.27608i	0.0864252	+	0.0627915i
$414$	3.49442	−	10.7547i	0.171741	−	0.528566i
$415$	2.56950	+	7.90811i	0.126132	+	0.388194i
$416$	−2.96903	+	2.15713i	−0.145569	+	0.105762i
$417$	−19.6586			−0.962686
$418$	41.2962	−	13.2023i	2.01987	−	0.645746i
$419$	32.8019			1.60248			0.801240	−	0.598343i	$-0.204174\pi$
$419$	32.8019			1.60248			0.801240	+	0.598343i	$0.204174\pi$
$420$	−0.555687	+	0.403730i	−0.0271147	+	0.0197000i
$421$	−4.36619	−	13.4377i	−0.212795	−	0.654915i	−0.999303	−	0.0373351i	$-0.988113\pi$
$421$	−4.36619	−	13.4377i	−0.212795	−	0.654915i	0.786508	−	0.617580i	$-0.211887\pi$
$422$	9.10342	−	28.0175i	0.443148	−	1.36387i
$423$	8.77969	+	6.37882i	0.426883	+	0.310149i
$424$	−27.4246	−	19.9251i	−1.33185	−	0.967649i
$425$	−0.826838	+	2.54475i	−0.0401076	+	0.123438i
$426$	−4.36095	−	13.4216i	−0.211289	−	0.650280i
$427$	−0.188823	+	0.137188i	−0.00913779	+	0.00663899i
$428$	17.3443			0.838368
$429$	3.07605	−	0.983406i	0.148513	−	0.0474793i
$430$	−12.0458			−0.580901
$431$	−15.4569	+	11.2301i	−0.744531	+	0.540933i	−0.894127	−	0.447814i	$-0.852203\pi$
$431$	−15.4569	+	11.2301i	−0.744531	+	0.540933i	0.149596	+	0.988747i	$0.452203\pi$
$432$	0.463040	+	1.42509i	0.0222780	+	0.0685646i
$433$	4.67235	−	14.3800i	0.224539	−	0.691059i	−0.773799	−	0.633431i	$-0.781646\pi$
$433$	4.67235	−	14.3800i	0.224539	−	0.691059i	0.998338	−	0.0576283i	$-0.0183538\pi$
$434$	−0.924015	−	0.671336i	−0.0443541	−	0.0322252i
$435$	8.18547	+	5.94709i	0.392463	+	0.285141i
$436$	−8.24740	+	25.3829i	−0.394979	+	1.21562i
$437$	8.23171	+	25.3346i	0.393776	+	1.21192i
$438$	6.30096	−	4.57791i	0.301071	−	0.218741i
$439$	37.1642			1.77375			0.886876	−	0.462008i	$-0.152871\pi$
$439$	37.1642			1.77375			0.886876	+	0.462008i	$0.152871\pi$
$440$	−7.06799	−	9.82567i	−0.336953	−	0.468421i
$441$	−6.96255			−0.331550
$442$	−4.96524	+	3.60746i	−0.236172	+	0.171589i
$443$	−0.853040	−	2.62539i	−0.0405291	−	0.124736i	0.928745	−	0.370720i	$-0.120889\pi$
$443$	−0.853040	−	2.62539i	−0.0405291	−	0.124736i	−0.969274	+	0.245984i	$0.920889\pi$
$444$	6.26490	−	19.2814i	0.297319	−	0.915054i
$445$	−5.94037	−	4.31593i	−0.281601	−	0.204595i
$446$	−10.2449	−	7.44333i	−0.485108	−	0.352452i
$447$	−3.13125	+	9.63699i	−0.148103	+	0.455814i
$448$	−0.710189	−	2.18574i	−0.0335533	−	0.103266i
$449$	14.4540	−	10.5015i	0.682127	−	0.495594i	−0.191936	−	0.981408i	$-0.561476\pi$
$449$	14.4540	−	10.5015i	0.682127	−	0.495594i	0.874063	+	0.485813i	$0.161476\pi$
$450$	−2.35567			−0.111048
$451$	26.0728	+	8.60813i	1.22772	+	0.405341i
$452$	71.7780			3.37615
$453$	−9.67840	+	7.03177i	−0.454731	+	0.330381i
$454$	15.8349	+	48.7348i	0.743168	+	2.28724i
$455$	0.0582308	−	0.179216i	0.00272990	−	0.00840178i
$456$	−16.3837	−	11.9034i	−0.767236	−	0.557429i
$457$	17.1205	+	12.4388i	0.800864	+	0.581862i	0.911167	−	0.412036i	$-0.135182\pi$
$457$	17.1205	+	12.4388i	0.800864	+	0.581862i	−0.110304	+	0.993898i	$0.535182\pi$
$458$	−1.94416	+	5.98350i	−0.0908444	+	0.279590i
$459$	−0.826838	−	2.54475i	−0.0385935	−	0.118779i
$460$	13.7837	−	10.0144i	0.642668	−	0.466926i
$461$	−34.3476			−1.59973			−0.799864	−	0.600181i	$-0.795095\pi$
$461$	−34.3476			−1.59973			−0.799864	+	0.600181i	$0.795095\pi$
$462$	−0.00715284	+	1.51199i	−0.000332780	+	0.0703441i
$463$	10.4516			0.485727			0.242864	−	0.970060i	$-0.421913\pi$
$463$	10.4516			0.485727			0.242864	+	0.970060i	$0.421913\pi$
$464$	12.2653	−	8.91129i	0.569404	−	0.413696i
$465$	−0.774188	−	2.38271i	−0.0359021	−	0.110495i
$466$	4.16892	−	12.8306i	0.193122	−	0.594367i
$467$	−23.9820	−	17.4239i	−1.10975	−	0.806284i	−0.127129	−	0.991886i	$-0.540576\pi$
$467$	−23.9820	−	17.4239i	−1.10975	−	0.806284i	−0.982625	+	0.185602i	$0.940576\pi$
$468$	−2.79587	−	2.03132i	−0.129239	−	0.0938978i
$469$	0.194911	−	0.599875i	0.00900017	−	0.0276997i
$470$	7.89985	+	24.3133i	0.364393	+	1.12149i
$471$	2.12452	−	1.54355i	0.0978927	−	0.0711232i
$472$	40.9392			1.88438
$473$	−10.0334	+	13.6734i	−0.461338	+	0.628701i
$474$	−23.9170			−1.09854
$475$	4.48940	−	3.26174i	0.205988	−	0.149659i
$476$	−0.567928	−	1.74790i	−0.0260309	−	0.0801150i
$477$	−2.87039	+	8.83416i	−0.131426	+	0.404488i
$478$	−46.4401	−	33.7407i	−2.12412	−	1.54326i
$479$	10.6941	+	7.76971i	0.488625	+	0.355007i	0.804655	−	0.593742i	$-0.202350\pi$
$479$	10.6941	+	7.76971i	0.488625	+	0.355007i	−0.316030	+	0.948749i	$0.602350\pi$
$480$	1.16469	−	3.58455i	0.0531606	−	0.163612i
$481$	1.71875	+	5.28977i	0.0783682	+	0.241193i
$482$	−31.8422	+	23.1347i	−1.45037	+	1.05376i
$483$	−0.929007			−0.0422713
$484$	−39.0395	−	0.369380i	−1.77452	−	0.0167900i
$485$	−15.8523			−0.719816
$486$	1.90578	−	1.38463i	0.0864480	−	0.0628081i
$487$	−13.1325	−	40.4176i	−0.595089	−	1.83150i	−0.554282	−	0.832329i	$-0.687007\pi$
$487$	−13.1325	−	40.4176i	−0.595089	−	1.83150i	−0.0408075	−	0.999167i	$-0.512993\pi$
$488$	−1.36007	+	4.18586i	−0.0615675	+	0.189485i
$489$	−19.1927	−	13.9443i	−0.867923	−	0.630583i
$490$	−13.2691	−	9.64056i	−0.599436	−	0.435516i
$491$	−4.86568	+	14.9750i	−0.219585	+	0.675813i	0.779211	+	0.626761i	$0.215620\pi$
$491$	−4.86568	+	14.9750i	−0.219585	+	0.675813i	−0.998796	+	0.0490515i	$0.984380\pi$
$492$	−9.07968	−	27.9444i	−0.409343	−	1.25983i
$493$	−21.9019	+	15.9127i	−0.986412	+	0.716670i
$494$	12.7284			0.572679
$495$	−1.96213	+	2.67395i	−0.0881914	+	0.120185i
$496$	−3.75405			−0.168562
$497$	−0.937957	+	0.681466i	−0.0420731	+	0.0305679i
$498$	−6.05291	−	18.6289i	−0.271237	−	0.834782i
$499$	−10.3607	+	31.8869i	−0.463808	+	1.42746i	0.396666	+	0.917963i	$0.370167\pi$
$499$	−10.3607	+	31.8869i	−0.463808	+	1.42746i	−0.860475	+	0.509493i	$0.829833\pi$
$500$	−2.87136	−	2.08617i	−0.128411	−	0.0932963i
$501$	−2.82488	−	2.05240i	−0.126206	−	0.0916943i
$502$	11.7187	−	36.0665i	0.523032	−	1.60973i
$503$	−7.05063	−	21.6996i	−0.314372	−	0.967537i	−0.976012	−	0.217716i	$-0.930139\pi$
$503$	−7.05063	−	21.6996i	−0.314372	−	0.967537i	0.661640	−	0.749821i	$-0.269861\pi$
$504$	0.571377	−	0.415129i	0.0254511	−	0.0184913i
$505$	13.1591			0.585574
$506$	0.177425	−	37.5046i	0.00788749	−	1.66728i
$507$	−12.0519			−0.535243
$508$	−20.3873	+	14.8122i	−0.904540	+	0.657187i
$509$	12.2731	+	37.7727i	0.543996	+	1.67425i	0.723365	+	0.690465i	$0.242594\pi$
$509$	12.2731	+	37.7727i	0.543996	+	1.67425i	−0.179370	+	0.983782i	$0.557406\pi$
$510$	1.94776	−	5.99460i	0.0862484	−	0.265445i
$511$	−0.517646	−	0.376092i	−0.0228993	−	0.0166373i
$512$	−13.4170	−	9.74805i	−0.592955	−	0.430807i
$513$	−1.71480	+	5.27760i	−0.0757102	+	0.233012i
$514$	−4.34491	−	13.3723i	−0.191646	−	0.589826i
$515$	−3.23394	+	2.34959i	−0.142504	+	0.103535i
$516$	18.1490			0.798963
$517$	34.1784	+	11.2843i	1.50316	+	0.496281i
$518$	−2.60410			−0.114418
$519$	16.4712	−	11.9670i	0.723007	−	0.525295i
$520$	−1.09808	−	3.37955i	−0.0481540	−	0.148203i
$521$	7.88005	−	24.2523i	0.345231	−	1.06251i	−0.616229	−	0.787567i	$-0.711340\pi$
$521$	7.88005	−	24.2523i	0.345231	−	1.06251i	0.961460	−	0.274945i	$-0.0886597\pi$
$522$	−19.2823	−	14.0094i	−0.843963	−	0.613175i
$523$	12.4835	+	9.06977i	0.545864	+	0.396593i	0.826258	−	0.563291i	$-0.190465\pi$
$523$	12.4835	+	9.06977i	0.545864	+	0.396593i	−0.280394	+	0.959885i	$0.590465\pi$
$524$	−2.74217	+	8.43953i	−0.119792	+	0.368683i
$525$	0.0598032	+	0.184055i	0.00261002	+	0.00803283i
$526$	−0.859791	+	0.624675i	−0.0374887	+	0.0272371i
$527$	6.70351			0.292010
$528$	2.90208	+	4.03436i	0.126297	+	0.175573i
$529$	0.0438407			0.00190612
$530$	−17.7024	+	12.8615i	−0.768943	+	0.558669i
$531$	−3.46656	−	10.6690i	−0.150436	−	0.462993i
$532$	−1.17784	+	3.62501i	−0.0510657	+	0.157164i
$533$	6.52145	+	4.73811i	0.282475	+	0.205230i
$534$	13.9936	+	10.1669i	0.605561	+	0.439966i
$535$	1.51011	−	4.64764i	0.0652877	−	0.200935i
$536$	−3.67552	−	11.3121i	−0.158758	−	0.488607i
$537$	−3.11567	+	2.26366i	−0.134451	+	0.0976843i
$538$	−34.6749			−1.49494
$539$	−21.9955	+	7.03189i	−0.947411	+	0.302885i
$540$	3.54920			0.152733
$541$	−22.3294	+	16.2233i	−0.960018	+	0.697494i	−0.953155	−	0.302483i	$-0.902185\pi$
$541$	−22.3294	+	16.2233i	−0.960018	+	0.697494i	−0.00686309	+	0.999976i	$0.502185\pi$
$542$	−3.22324	−	9.92010i	−0.138450	−	0.426105i
$543$	−5.44337	+	16.7530i	−0.233597	+	0.718938i
$544$	8.15877	+	5.92769i	0.349804	+	0.254148i
$545$	6.08362	+	4.42001i	0.260594	+	0.189332i
$546$	−0.137173	+	0.422175i	−0.00587046	+	0.0180674i
$547$	9.50800	+	29.2626i	0.406533	+	1.25118i	0.919608	+	0.392836i	$0.128506\pi$
$547$	9.50800	+	29.2626i	0.406533	+	1.25118i	−0.513076	+	0.858343i	$0.671494\pi$
$548$	43.9157	−	31.9067i	1.87599	−	1.36298i
$549$	1.20602			0.0514718
$550$	−7.44184	+	2.37914i	−0.317321	+	0.101447i
$551$	56.1457			2.39189
$552$	−14.1729	+	10.2972i	−0.603238	+	0.438278i
$553$	0.607177	+	1.86870i	0.0258198	+	0.0794652i
$554$	0.0672109	−	0.206854i	0.00285552	−	0.00878838i
$555$	−4.62125	−	3.35753i	−0.196161	−	0.142519i
$556$	56.4470	+	41.0112i	2.39389	+	1.73926i
$557$	−4.30642	+	13.2538i	−0.182469	+	0.561582i	−0.999896	−	0.0144509i	$-0.995400\pi$
$557$	−4.30642	+	13.2538i	−0.182469	+	0.561582i	0.817427	+	0.576033i	$0.195400\pi$
$558$	1.82374	+	5.61288i	0.0772049	+	0.237612i
$559$	−4.02817	+	2.92664i	−0.170373	+	0.123783i
$560$	0.289986			0.0122542
$561$	−5.18217	−	7.20406i	−0.218791	−	0.304156i
$562$	−12.2095			−0.515026
$563$	−4.72456	+	3.43259i	−0.199117	+	0.144667i	−0.682876	−	0.730534i	$-0.739271\pi$
$563$	−4.72456	+	3.43259i	−0.199117	+	0.144667i	0.483759	+	0.875201i	$0.339271\pi$
$564$	−11.9024	−	36.6318i	−0.501181	−	1.54248i
$565$	6.24947	−	19.2339i	0.262917	−	0.809176i
$566$	2.98183	+	2.16643i	0.125336	+	0.0910618i
$567$	−0.156567	−	0.113752i	−0.00657518	−	0.00477715i
$568$	−6.75599	+	20.7928i	−0.283475	+	0.872447i
$569$	−1.68536	−	5.18701i	−0.0706540	−	0.217451i	0.909494	−	0.415716i	$-0.136469\pi$
$569$	−1.68536	−	5.18701i	−0.0706540	−	0.217451i	−0.980148	+	0.198266i	$0.936469\pi$
$570$	−10.5756	+	7.68359i	−0.442961	+	0.321830i
$571$	40.2894			1.68606			0.843030	−	0.537866i	$-0.180770\pi$
$571$	40.2894			1.68606			0.843030	+	0.537866i	$0.180770\pi$
$572$	−10.8840	−	3.59344i	−0.455084	−	0.150249i
$573$	0.417099			0.0174246
$574$	−3.05332	+	2.21837i	−0.127443	+	0.0925928i
$575$	−1.48341	−	4.56545i	−0.0618623	−	0.190392i
$576$	−3.66971	+	11.2942i	−0.152905	+	0.470592i
$577$	19.2737	+	14.0032i	0.802374	+	0.582959i	0.911610	−	0.411057i	$-0.134840\pi$
$577$	19.2737	+	14.0032i	0.802374	+	0.582959i	−0.109236	+	0.994016i	$0.534840\pi$
$578$	−18.7540	−	13.6256i	−0.780065	−	0.566750i
$579$	3.61443	−	11.1241i	0.150210	−	0.462300i
$580$	−11.0968	−	34.1525i	−0.460771	−	1.41811i
$581$	−1.30186	+	0.945860i	−0.0540104	+	0.0392409i
$582$	37.3428			1.54791
$583$	−0.145740	+	30.8071i	−0.00603595	+	1.27590i
$584$	−12.0658			−0.499287
$585$	−0.787747	+	0.572331i	−0.0325693	+	0.0236630i
$586$	16.8570	+	51.8805i	0.696357	+	2.14317i
$587$	6.05919	−	18.6483i	0.250090	−	0.769697i	−0.744668	−	0.667435i	$-0.767392\pi$
$587$	6.05919	−	18.6483i	0.250090	−	0.769697i	0.994758	−	0.102262i	$-0.0326079\pi$
$588$	19.9920	+	14.5250i	0.824457	+	0.599003i
$589$	−11.2474	−	8.17172i	−0.463441	−	0.336710i
$590$	8.16608	−	25.1326i	0.336192	−	1.03469i
$591$	6.67348	+	20.5389i	0.274510	+	0.844856i
$592$	−6.92460	+	5.03102i	−0.284599	+	0.206774i
$593$	3.31095			0.135964			0.0679822	−	0.997687i	$-0.478344\pi$
$593$	3.31095			0.135964			0.0679822	+	0.997687i	$0.478344\pi$
$594$	4.62215	−	6.29896i	0.189649	−	0.258450i
$595$	−0.517822			−0.0212286
$596$	29.0953	−	21.1390i	1.19179	−	0.865887i
$597$	2.39806	+	7.38046i	0.0981460	+	0.302062i
$598$	3.40255	−	10.4720i	0.139140	−	0.428230i
$599$	−25.9460	−	18.8509i	−1.06012	−	0.770225i	−0.0860126	−	0.996294i	$-0.527413\pi$
$599$	−25.9460	−	18.8509i	−1.06012	−	0.770225i	−0.974111	+	0.226069i	$0.927413\pi$
$600$	2.95244	+	2.14507i	0.120533	+	0.0875722i
$601$	−9.05125	+	27.8569i	−0.369208	+	1.13631i	0.578095	+	0.815969i	$0.303796\pi$
$601$	−9.05125	+	27.8569i	−0.369208	+	1.13631i	−0.947304	+	0.320337i	$0.896204\pi$
$602$	−0.720378	−	2.21710i	−0.0293604	−	0.0903621i
$603$	−2.63676	+	1.91572i	−0.107377	+	0.0780141i
$604$	42.4596			1.72766
$605$	−3.49802	+	10.4290i	−0.142215	+	0.423999i
$606$	−30.9986			−1.25923
$607$	31.6169	−	22.9710i	1.28329	−	0.932364i	0.283642	−	0.958930i	$-0.408457\pi$
$607$	31.6169	−	22.9710i	1.28329	−	0.932364i	0.999647	+	0.0265657i	$0.00845712\pi$
$608$	−6.46311	−	19.8914i	−0.262114	−	0.806703i
$609$	−0.605076	+	1.86223i	−0.0245189	+	0.0754615i
$610$	2.29842	+	1.66990i	0.0930601	+	0.0676121i
$611$	8.54886	+	6.21111i	0.345850	+	0.251275i
$612$	−2.93462	+	9.03182i	−0.118625	+	0.365090i
$613$	−3.93452	−	12.1092i	−0.158914	−	0.489086i	0.839623	−	0.543170i	$-0.182776\pi$
$613$	−3.93452	−	12.1092i	−0.158914	−	0.489086i	−0.998536	+	0.0540840i	$0.982776\pi$
$614$	−14.7218	+	10.6960i	−0.594123	+	0.431655i
$615$	−8.27861			−0.333826
$616$	1.38578	−	1.88851i	0.0558346	−	0.0760901i
$617$	−8.97789			−0.361436			−0.180718	−	0.983535i	$-0.557842\pi$
$617$	−8.97789			−0.361436			−0.180718	+	0.983535i	$0.557842\pi$
$618$	7.61810	−	5.53487i	0.306445	−	0.222645i
$619$	−6.86392	−	21.1250i	−0.275884	−	0.849084i	−0.988984	−	0.148022i	$-0.952710\pi$
$619$	−6.86392	−	21.1250i	−0.275884	−	0.849084i	0.713100	−	0.701062i	$-0.247290\pi$
$620$	−2.74775	+	8.45670i	−0.110352	+	0.339629i
$621$	3.88361	+	2.82160i	0.155844	+	0.113227i
$622$	−36.4402	−	26.4753i	−1.46112	−	1.06156i
$623$	0.439117	−	1.35146i	0.0175928	−	0.0541452i
$624$	0.450866	+	1.38762i	0.0180491	+	0.0555493i
$625$	−0.809017	+	0.587785i	−0.0323607	+	0.0235114i
$626$	−6.83868			−0.273329
$627$	−0.0870666	+	18.4044i	−0.00347711	+	0.735001i
$628$	−9.32038			−0.371924
$629$	12.3651	−	8.98377i	0.493029	−	0.358206i
$630$	−0.140877	−	0.433574i	−0.00561266	−	0.0172740i
$631$	8.27153	−	25.4572i	0.329285	−	1.01343i	−0.640185	−	0.768221i	$-0.721142\pi$
$631$	8.27153	−	25.4572i	0.329285	−	1.01343i	0.969469	−	0.245213i	$-0.0788578\pi$
$632$	29.9759	+	21.7788i	1.19238	+	0.866313i
$633$	10.1173	+	7.35065i	0.402127	+	0.292162i
$634$	−1.64627	+	5.06670i	−0.0653817	+	0.201224i
$635$	2.19409	+	6.75270i	0.0870697	+	0.267973i
$636$	26.6715	−	19.3780i	1.05759	−	0.768386i
$637$	−6.77949			−0.268613
$638$	−75.0639	−	24.7829i	−2.97181	−	0.981166i
$639$	5.99078			0.236992
$640$	−16.5336	+	12.0123i	−0.653547	+	0.474830i
$641$	4.65770	+	14.3349i	0.183968	+	0.566195i	0.999929	−	0.0119117i	$-0.00379170\pi$
$641$	4.65770	+	14.3349i	0.183968	+	0.566195i	−0.815961	+	0.578107i	$0.803792\pi$
$642$	−3.55733	+	10.9483i	−0.140396	+	0.432096i
$643$	31.7840	+	23.0925i	1.25344	+	0.910678i	0.998416	−	0.0562569i	$-0.0179166\pi$
$643$	31.7840	+	23.0925i	1.25344	+	0.910678i	0.255024	+	0.966935i	$0.417917\pi$
$644$	2.66752	+	1.93807i	0.105115	+	0.0763705i
$645$	1.58017	−	4.86326i	0.0622191	−	0.191491i
$646$	−10.8085	−	33.2652i	−0.425256	−	1.30880i
$647$	−19.2656	+	13.9973i	−0.757408	+	0.550289i	−0.898114	−	0.439762i	$-0.855063\pi$
$647$	−19.2656	+	13.9973i	−0.757408	+	0.550289i	0.140706	+	0.990051i	$0.455063\pi$
$648$	−3.64941			−0.143363
$649$	−21.7265	−	30.2033i	−0.852838	−	1.18559i
$650$	−2.29374			−0.0899679
$651$	0.392251	−	0.284987i	0.0153735	−	0.0111695i
$652$	26.0190	+	80.0784i	1.01898	+	3.13611i
$653$	2.13331	−	6.56566i	0.0834829	−	0.256934i	−0.900599	−	0.434652i	$-0.856871\pi$
$653$	2.13331	−	6.56566i	0.0834829	−	0.256934i	0.984081	+	0.177718i	$0.0568714\pi$
$654$	−14.3310	−	10.4121i	−0.560387	−	0.407145i
$655$	2.02273	+	1.46960i	0.0790348	+	0.0574221i
$656$	−3.83332	+	11.7978i	−0.149666	+	0.460625i
$657$	1.02168	+	3.14442i	0.0398596	+	0.122675i
$658$	−4.00254	+	2.90802i	−0.156035	+	0.113366i
$659$	−20.3718			−0.793571			−0.396786	−	0.917911i	$-0.629874\pi$
$659$	−20.3718			−0.793571			−0.396786	+	0.917911i	$0.629874\pi$
$660$	11.2123	−	3.58455i	0.436439	−	0.139528i
$661$	−19.7451			−0.767994			−0.383997	−	0.923334i	$-0.625453\pi$
$661$	−19.7451			−0.767994			−0.383997	+	0.923334i	$0.625453\pi$
$662$	11.4792	−	8.34013i	0.446152	−	0.324148i
$663$	−0.805099	−	2.47784i	−0.0312675	−	0.0962314i
$664$	−9.37717	+	28.8600i	−0.363905	+	1.11998i
$665$	0.868820	+	0.631235i	0.0336914	+	0.0244782i
$666$	10.8861	+	7.90925i	0.421830	+	0.306477i
$667$	15.0088	−	46.1923i	0.581143	−	1.78857i
$668$	3.82962	+	11.7864i	0.148172	+	0.456028i
$669$	4.34901	−	3.15974i	0.168143	−	0.122163i
$670$	−7.67765			−0.296613
$671$	3.80996	−	1.21803i	0.147082	−	0.0470217i
$672$	0.729407			0.0281375
$673$	−29.6207	+	21.5207i	−1.14180	+	0.829563i	−0.987368	−	0.158441i	$-0.949353\pi$
$673$	−29.6207	+	21.5207i	−1.14180	+	0.829563i	−0.154427	+	0.988004i	$0.549353\pi$
$674$	10.6023	+	32.6306i	0.408386	+	1.25688i
$675$	0.309017	−	0.951057i	0.0118941	−	0.0366062i
$676$	34.6054	+	25.1423i	1.33098	+	0.967011i
$677$	−5.96357	−	4.33279i	−0.229199	−	0.166523i	0.467259	−	0.884120i	$-0.345242\pi$
$677$	−5.96357	−	4.33279i	−0.229199	−	0.166523i	−0.696458	+	0.717598i	$0.745242\pi$
$678$	−14.7217	+	45.3088i	−0.565384	+	1.74007i
$679$	−0.948017	−	2.91770i	−0.0363816	−	0.111971i
$680$	−7.89985	+	5.73958i	−0.302946	+	0.220103i
$681$	−21.7529			−0.833573
$682$	11.4302	+	15.8898i	0.437684	+	0.608452i
$683$	24.5651			0.939959			0.469979	−	0.882677i	$-0.344261\pi$
$683$	24.5651			0.939959			0.469979	+	0.882677i	$0.344261\pi$
$684$	15.9338	−	11.5766i	0.609243	−	0.442641i
$685$	−4.72622	−	14.5458i	−0.180580	−	0.555767i
$686$	1.96700	−	6.05380i	0.0751004	−	0.231135i
$687$	−2.16068	−	1.56983i	−0.0824352	−	0.0598927i
$688$	−6.19890	−	4.50376i	−0.236331	−	0.171704i
$689$	−2.79492	+	8.60189i	−0.106478	+	0.327706i
$690$	3.49442	+	10.7547i	0.133030	+	0.409425i
$691$	−24.1439	+	17.5416i	−0.918479	+	0.667314i	−0.943145	−	0.332382i	$-0.892148\pi$
$691$	−24.1439	+	17.5416i	−0.918479	+	0.667314i	0.0246662	+	0.999696i	$0.492148\pi$
$692$	−72.2602			−2.74692
$693$	−0.609497	−	0.201230i	−0.0231529	−	0.00764410i
$694$	−67.9262			−2.57844
$695$	15.9041	−	11.5550i	0.603279	−	0.438308i
$696$	11.4102	+	35.1168i	0.432501	+	1.33110i
$697$	6.84507	−	21.0670i	0.259276	−	0.797968i
$698$	−3.11088	−	2.26019i	−0.117749	−	0.0855494i
$699$	4.63323	+	3.36624i	0.175245	+	0.127323i
$700$	0.212253	−	0.653249i	0.00802243	−	0.0246905i
$701$	−4.45569	−	13.7132i	−0.168289	−	0.517940i	0.830975	−	0.556310i	$-0.187783\pi$
$701$	−4.45569	−	13.7132i	−0.168289	−	0.517940i	−0.999264	+	0.0383701i	$0.987783\pi$
$702$	1.85567	−	1.34823i	0.0700379	−	0.0508855i
$703$	−31.6980			−1.19551
$704$	−0.186325	+	39.3859i	−0.00702238	+	1.48441i
$705$	−10.8523			−0.408721
$706$	47.5106	−	34.5184i	1.78808	−	1.29912i
$707$	0.786958	+	2.42201i	0.0295966	+	0.0910890i
$708$	−12.3035	+	37.8663i	−0.462394	+	1.42310i
$709$	36.0084	+	26.1616i	1.35232	+	0.982520i	0.998892	+	0.0470585i	$0.0149847\pi$
$709$	36.0084	+	26.1616i	1.35232	+	0.982520i	0.353430	+	0.935461i	$0.385015\pi$
$710$	11.4171	+	8.29502i	0.428477	+	0.311307i
$711$	3.13743	−	9.65601i	0.117663	−	0.362129i
$712$	−8.28059	−	25.4850i	−0.310328	−	0.955093i
$713$	−9.72970	+	7.06904i	−0.364380	+	0.264738i
$714$	1.21982			0.0456506
$715$	−1.91055	+	2.60365i	−0.0714504	+	0.0973710i
$716$	13.6686			0.510819
$717$	19.7141	−	14.3232i	0.736238	−	0.534908i
$718$	−20.7034	−	63.7185i	−0.772644	−	2.37795i
$719$	1.11044	−	3.41758i	0.0414124	−	0.127454i	−0.928213	−	0.372050i	$-0.878655\pi$
$719$	1.11044	−	3.41758i	0.0414124	−	0.127454i	0.969625	+	0.244595i	$0.0786551\pi$
$720$	−1.21225	−	0.880754i	−0.0451780	−	0.0328238i
$721$	−0.625854	−	0.454710i	−0.0233080	−	0.0169343i
$722$	−8.58510	+	26.4222i	−0.319504	+	0.983333i
$723$	−5.16312	−	15.8904i	−0.192018	−	0.590972i
$724$	50.5794	−	36.7481i	1.87977	−	1.36573i
$725$	−10.1178			−0.375766
$726$	8.24018	−	24.5673i	0.305822	−	0.911778i
$727$	−39.0846			−1.44957			−0.724784	−	0.688976i	$-0.758060\pi$
$727$	−39.0846			−1.44957			−0.724784	+	0.688976i	$0.758060\pi$
$728$	0.556354	−	0.404215i	0.0206199	−	0.0149812i
$729$	0.309017	+	0.951057i	0.0114451	+	0.0352243i
$730$	−2.40675	+	7.40722i	−0.0890779	+	0.274154i
$731$	11.0692	+	8.04226i	0.409410	+	0.297454i
$732$	−3.46293	−	2.51597i	−0.127994	−	0.0929928i
$733$	11.6519	−	35.8610i	0.430374	−	1.32455i	−0.467379	−	0.884057i	$-0.654802\pi$
$733$	11.6519	−	35.8610i	0.430374	−	1.32455i	0.897753	−	0.440498i	$-0.145198\pi$
$734$	7.60065	+	23.3924i	0.280545	+	0.863429i
$735$	5.63282	−	4.09248i	0.207770	−	0.150953i
$736$	−18.0928			−0.666910
$737$	−6.39502	+	8.71499i	−0.235564	+	0.321021i
$738$	19.5017			0.717868
$739$	−12.0806	+	8.77706i	−0.444392	+	0.322869i	−0.787377	−	0.616471i	$-0.788562\pi$
$739$	−12.0806	+	8.77706i	−0.444392	+	0.322869i	0.342986	+	0.939341i	$0.388562\pi$
$740$	6.26490	+	19.2814i	0.230302	+	0.708798i
$741$	−1.66971	+	5.13885i	−0.0613384	+	0.188780i
$742$	−3.42589	−	2.48906i	−0.125768	−	0.0913761i
$743$	−10.8149	−	7.85749i	−0.396760	−	0.288263i	0.371460	−	0.928449i	$-0.378857\pi$
$743$	−10.8149	−	7.85749i	−0.396760	−	0.288263i	−0.768220	+	0.640186i	$0.778857\pi$
$744$	2.82533	−	8.69548i	0.103582	−	0.318792i
$745$	−3.13125	−	9.63699i	−0.114720	−	0.353072i
$746$	−5.36949	+	3.90116i	−0.196591	+	0.142832i
$747$	8.31508			0.304233
$748$	−0.149001	+	31.4964i	−0.00544803	+	1.15162i
$749$	0.945731			0.0345563
$750$	1.90578	−	1.38463i	0.0695893	−	0.0505596i
$751$	12.5045	+	38.4849i	0.456296	+	1.40434i	0.869606	+	0.493745i	$0.164373\pi$
$751$	12.5045	+	38.4849i	0.456296	+	1.40434i	−0.413310	+	0.910590i	$0.635627\pi$
$752$	−5.02504	+	15.4655i	−0.183244	+	0.563968i
$753$	13.0239	+	9.46240i	0.474617	+	0.344829i
$754$	−18.7753	−	13.6411i	−0.683757	−	0.496779i
$755$	3.69682	−	11.3776i	0.134541	−	0.414075i
$756$	0.212253	+	0.653249i	0.00771958	+	0.0237584i
$757$	6.90704	−	5.01826i	0.251040	−	0.182392i	−0.455147	−	0.890416i	$-0.650413\pi$
$757$	6.90704	−	5.01826i	0.251040	−	0.182392i	0.706188	+	0.708025i	$0.250413\pi$
$758$	−21.0437			−0.764341
$759$	15.1184	+	4.99148i	0.548765	+	0.181179i
$760$	20.2513			0.734593
$761$	17.2162	−	12.5083i	0.624089	−	0.453427i	−0.230259	−	0.973129i	$-0.573957\pi$
$761$	17.2162	−	12.5083i	0.624089	−	0.453427i	0.854347	+	0.519703i	$0.173957\pi$
$762$	−5.16855	−	15.9072i	−0.187237	−	0.576256i
$763$	−0.449706	+	1.38405i	−0.0162804	+	0.0501060i
$764$	−1.19764	−	0.870139i	−0.0433292	−	0.0314805i
$765$	2.16469	+	1.57274i	0.0782646	+	0.0568625i
$766$	6.21139	−	19.1167i	0.224427	−	0.690714i
$767$	−3.37541	−	10.3885i	−0.121879	−	0.375105i
$768$	19.7329	−	14.3368i	0.712048	−	0.517333i
$769$	−24.4717			−0.882471			−0.441235	−	0.897391i	$-0.645460\pi$
$769$	−24.4717			−0.882471			−0.441235	+	0.897391i	$0.645460\pi$
$770$	−0.882938	−	1.22743i	−0.0318189	−	0.0442335i
$771$	5.96875			0.214959
$772$	−33.5850	+	24.4009i	−1.20875	+	0.878209i
$773$	4.21721	+	12.9792i	0.151682	+	0.466830i	0.997810	−	0.0661505i	$-0.0210717\pi$
$773$	4.21721	+	12.9792i	0.151682	+	0.466830i	−0.846127	+	0.532981i	$0.821072\pi$
$774$	−3.72236	+	11.4563i	−0.133798	+	0.411787i
$775$	2.02685	+	1.47259i	0.0728066	+	0.0528971i
$776$	−46.8029	−	34.0043i	−1.68013	−	1.22068i
$777$	0.341606	−	1.05136i	0.0122550	−	0.0377172i
$778$	−8.57207	−	26.3821i	−0.307324	−	0.945845i
$779$	−37.1660	+	27.0027i	−1.33161	+	0.967471i
$780$	3.45589			0.123741
$781$	18.9255	−	6.05045i	0.677209	−	0.216502i
$782$	−30.2574			−1.08200
$783$	8.18547	−	5.94709i	0.292525	−	0.212532i
$784$	−3.22394	−	9.92225i	−0.115141	−	0.354366i
$785$	−0.811494	+	2.49752i	−0.0289635	+	0.0891404i
$786$	−4.76490	−	3.46191i	−0.169958	−	0.123482i
$787$	6.03291	+	4.38317i	0.215050	+	0.156243i	0.690096	−	0.723718i	$-0.257568\pi$
$787$	6.03291	+	4.38317i	0.215050	+	0.156243i	−0.475046	+	0.879961i	$0.657568\pi$
$788$	23.6855	−	72.8966i	0.843762	−	2.59683i
$789$	−0.139413	−	0.429068i	−0.00496322	−	0.0152752i
$790$	19.3493	−	14.0581i	0.688416	−	0.500163i
$791$	3.91383			0.139160
$792$	−11.5289	+	3.68576i	−0.409662	+	0.130968i
$793$	1.17431			0.0417011
$794$	−2.69124	+	1.95530i	−0.0955085	+	0.0693910i
$795$	−2.87039	−	8.83416i	−0.101802	−	0.313315i
$796$	8.51119	−	26.1947i	0.301671	−	0.928448i
$797$	−9.73624	−	7.07379i	−0.344875	−	0.250567i	0.401841	−	0.915710i	$-0.368371\pi$
$797$	−9.73624	−	7.07379i	−0.344875	−	0.250567i	−0.746716	+	0.665143i	$0.768371\pi$
$798$	−2.04666	−	1.48698i	−0.0724509	−	0.0526386i
$799$	8.97309	−	27.6163i	0.317445	−	0.976996i
$800$	1.16469	+	3.58455i	0.0411781	+	0.126733i
$801$	−5.94037	+	4.31593i	−0.209893	+	0.152496i
$802$	−19.9270			−0.703648
$803$	6.40334	+	8.90170i	0.225969	+	0.314134i
$804$	11.5676			0.407958
$805$	0.751583	−	0.546057i	0.0264898	−	0.0192460i
$806$	1.77579	+	5.46531i	0.0625494	+	0.192507i
$807$	4.54864	−	13.9993i	0.160120	−	0.492798i
$808$	38.8515	+	28.2273i	1.36679	+	0.993033i
$809$	40.4782	+	29.4091i	1.42314	+	1.03397i	0.991244	+	0.132044i	$0.0421539\pi$
$809$	40.4782	+	29.4091i	1.42314	+	1.03397i	0.431892	+	0.901925i	$0.357846\pi$
$810$	−0.727943	+	2.24038i	−0.0255773	+	0.0787189i
$811$	−3.46678	−	10.6697i	−0.121735	−	0.374663i	0.871557	−	0.490294i	$-0.163111\pi$
$811$	−3.46678	−	10.6697i	−0.121735	−	0.374663i	−0.993292	+	0.115632i	$0.963111\pi$
$812$	5.62233	−	4.08486i	0.197305	−	0.143350i
$813$	4.42787			0.155292
$814$	42.3786	+	13.9916i	1.48537	+	0.490406i
$815$	23.7235			0.830997
$816$	3.24363	−	2.35664i	0.113550	−	0.0824988i
$817$	−8.76867	−	26.9872i	−0.306777	−	0.944163i
$818$	−7.37080	+	22.6850i	−0.257714	+	0.793163i
$819$	−0.152450	−	0.110762i	−0.00532704	−	0.00387032i
$820$	23.7709	+	17.2706i	0.830116	+	0.603114i
$821$	2.27969	−	7.01616i	0.0795617	−	0.244866i	−0.903362	−	0.428879i	$-0.858909\pi$
$821$	2.27969	−	7.01616i	0.0795617	−	0.244866i	0.982924	+	0.184013i	$0.0589088\pi$
$822$	11.1334	+	34.2652i	0.388323	+	1.19514i
$823$	−28.8318	+	20.9475i	−1.00501	+	0.730184i	−0.963157	−	0.268939i	$-0.913327\pi$
$823$	−28.8318	+	20.9475i	−1.00501	+	0.730184i	−0.0418554	+	0.999124i	$0.513327\pi$
$824$	−14.5880			−0.508198
$825$	0.0156899	−	3.31659i	0.000546254	−	0.115469i
$826$	5.11414			0.177944
$827$	40.8789	−	29.7003i	1.42150	−	1.03278i	0.429977	−	0.902840i	$-0.358522\pi$
$827$	40.8789	−	29.7003i	1.42150	−	1.03278i	0.991522	−	0.129940i	$-0.0414784\pi$
$828$	−5.26490	−	16.2037i	−0.182968	−	0.563118i
$829$	−1.89888	+	5.84416i	−0.0659509	+	0.202976i	−0.978602	−	0.205765i	$-0.934032\pi$
$829$	−1.89888	+	5.84416i	−0.0659509	+	0.202976i	0.912651	+	0.408741i	$0.134032\pi$
$830$	15.8467	+	11.5133i	0.550047	+	0.399633i
$831$	0.0746965	+	0.0542702i	0.00259119	+	0.00188261i
$832$	−3.57323	+	10.9973i	−0.123879	+	0.381262i
$833$	5.75690	+	17.7179i	0.199465	+	0.613890i
$834$	−37.4650	+	27.2199i	−1.29731	+	0.942548i
$835$	3.49175			0.120837
$836$	38.6447	−	52.6641i	1.33655	−	1.82143i
$837$	−2.50533			−0.0865967
$838$	62.5133	−	45.4186i	2.15949	−	1.56896i
$839$	−11.5953	−	35.6865i	−0.400312	−	1.23204i	−0.924746	−	0.380584i	$-0.875723\pi$
$839$	−11.5953	−	35.6865i	−0.400312	−	1.23204i	0.524434	−	0.851451i	$-0.324277\pi$
$840$	−0.218246	+	0.671694i	−0.00753022	+	0.0231756i
$841$	−59.3574	−	43.1257i	−2.04681	−	1.48709i
$842$	−26.9273	−	19.5638i	−0.927976	−	0.674214i
$843$	1.60164	−	4.92934i	0.0551633	−	0.169775i
$844$	−13.7158	−	42.2128i	−0.472116	−	1.45302i
$845$	9.75019	−	7.08392i	0.335417	−	0.243694i
$846$	25.5645			0.878924
$847$	−2.12870	−	0.0201412i	−0.0731431	−	0.000692058i
$848$	−13.9186			−0.477966
$849$	−1.26581	+	0.919664i	−0.0434424	+	0.0315628i
$850$	1.94776	+	5.99460i	0.0668077	+	0.205613i
$851$	−8.47347	+	26.0787i	−0.290467	+	0.893965i
$852$	−17.2017	−	12.4978i	−0.589321	−	0.428167i
$853$	21.8533	+	15.8774i	0.748244	+	0.543631i	0.895282	−	0.445500i	$-0.146974\pi$
$853$	21.8533	+	15.8774i	0.748244	+	0.543631i	−0.147038	+	0.989131i	$0.546974\pi$
$854$	−0.169901	+	0.522900i	−0.00581388	+	0.0178933i
$855$	−1.71480	−	5.27760i	−0.0586448	−	0.180490i
$856$	14.4280	−	10.4826i	0.493140	−	0.358287i
$857$	−2.51515			−0.0859159			−0.0429580	−	0.999077i	$-0.513678\pi$
$857$	−2.51515			−0.0859159			−0.0429580	+	0.999077i	$0.513678\pi$
$858$	4.50063	−	6.13335i	0.153649	−	0.209389i
$859$	6.70885			0.228903			0.114451	−	0.993429i	$-0.463489\pi$
$859$	6.70885			0.228903			0.114451	+	0.993429i	$0.463489\pi$
$860$	−14.6828	+	10.6677i	−0.500680	+	0.363765i
$861$	−0.495087	−	1.52372i	−0.0168725	−	0.0519283i
$862$	−13.9079	+	42.8041i	−0.473705	+	1.45791i
$863$	2.67577	+	1.94406i	0.0910844	+	0.0661767i	0.632395	−	0.774646i	$-0.282072\pi$
$863$	2.67577	+	1.94406i	0.0910844	+	0.0661767i	−0.541311	+	0.840822i	$0.682072\pi$
$864$	−3.04920	−	2.21537i	−0.103736	−	0.0753686i
$865$	−6.29145	+	19.3631i	−0.213916	+	0.658365i
$866$	−11.0065	−	33.8746i	−0.374017	−	1.15111i
$867$	7.96121	−	5.78416i	0.270377	−	0.196440i
$868$	−1.72082			−0.0584086
$869$	0.159299	−	33.6731i	0.00540384	−	1.14228i
$870$	23.8342			0.808056
$871$	−2.56744	+	1.86535i	−0.0869942	+	0.0632050i
$872$	8.48027	+	26.0996i	0.287178	+	0.883844i
$873$	−4.89863	+	15.0764i	−0.165793	+	0.510260i
$874$	50.7669	+	36.8843i	1.71722	+	1.24763i
$875$	−0.156567	−	0.113752i	−0.00529292	−	0.00384553i
$876$	3.62616	−	11.1602i	0.122517	−	0.377067i
$877$	9.91956	+	30.5293i	0.334960	+	1.03090i	0.966742	+	0.255754i	$0.0823238\pi$
$877$	9.91956	+	30.5293i	0.334960	+	1.03090i	−0.631782	+	0.775146i	$0.717676\pi$
$878$	70.8269	−	51.4587i	2.39029	−	1.73665i
$879$	−23.1570			−0.781067
$880$	−4.71917	−	1.55807i	−0.159083	−	0.0525226i
$881$	−35.2547			−1.18776			−0.593881	−	0.804553i	$-0.702405\pi$
$881$	−35.2547			−1.18776			−0.593881	+	0.804553i	$0.702405\pi$
$882$	−13.2691	+	9.64056i	−0.446793	+	0.324614i
$883$	−0.140866	−	0.433541i	−0.00474052	−	0.0145898i	0.948658	−	0.316303i	$-0.102442\pi$
$883$	−0.140866	−	0.433541i	−0.00474052	−	0.0145898i	−0.953399	+	0.301713i	$0.902442\pi$
$884$	−2.85746	+	8.79436i	−0.0961068	+	0.295786i
$885$	9.07556	+	6.59378i	0.305072	+	0.221647i
$886$	−5.26090	−	3.82226i	−0.176743	−	0.128411i
$887$	−0.556725	+	1.71342i	−0.0186930	+	0.0575312i	−0.959968	−	0.280110i	$-0.909629\pi$
$887$	−0.556725	+	1.71342i	−0.0186930	+	0.0575312i	0.941275	+	0.337641i	$0.109629\pi$
$888$	−6.44179	−	19.8258i	−0.216172	−	0.665310i
$889$	−1.11166	+	0.807666i	−0.0372838	+	0.0270882i
$890$	−17.2970			−0.579797
$891$	1.93675	+	2.69240i	0.0648835	+	0.0901987i
$892$	−19.0794			−0.638824
$893$	−48.7203	+	35.3973i	−1.63036	+	1.18453i
$894$	7.37620	+	22.7016i	0.246697	+	0.759255i
$895$	1.19008	−	3.66268i	0.0397799	−	0.122430i
$896$	−3.19970	−	2.32471i	−0.106894	−	0.0776633i
$897$	3.78150	+	2.74742i	0.126261	+	0.0917337i
$898$	13.0055	−	40.0269i	0.434001	−	1.33572i
$899$	7.83308	+	24.1077i	0.261248	+	0.804038i
$900$	−2.87136	+	2.08617i	−0.0957121	+	0.0695389i
$901$	24.8541			0.828009
$902$	61.6080	−	19.6959i	2.05132	−	0.655803i
$903$	0.989607			0.0329321
$904$	59.7092	−	43.3813i	1.98590	−	1.44284i
$905$	−5.44337	−	16.7530i	−0.180944	−	0.556887i
$906$	−8.70850	+	26.8020i	−0.289321	+	0.890437i
$907$	28.5962	+	20.7764i	0.949522	+	0.689868i	0.950694	−	0.310131i	$-0.100373\pi$
$907$	28.5962	+	20.7764i	0.949522	+	0.689868i	−0.00117159	+	0.999999i	$0.500373\pi$
$908$	62.4605	+	45.3802i	2.07282	+	1.50600i
$909$	4.06640	−	12.5151i	0.134874	−	0.415099i
$910$	−0.137173	−	0.422175i	−0.00454724	−	0.0139950i
$911$	1.33388	−	0.969123i	0.0441935	−	0.0321085i	−0.565469	−	0.824769i	$-0.691305\pi$
$911$	1.33388	−	0.969123i	0.0441935	−	0.0321085i	0.609663	+	0.792661i	$0.291305\pi$
$912$	−8.31508			−0.275340
$913$	26.2682	−	8.39789i	0.869352	−	0.277930i
$914$	49.8511			1.64893
$915$	−0.975693	+	0.708883i	−0.0322554	+	0.0234349i
$916$	2.92918	+	9.01510i	0.0967829	+	0.297867i
$917$	−0.149522	+	0.460182i	−0.00493765	+	0.0151965i
$918$	−5.09931	−	3.70486i	−0.168302	−	0.122279i
$919$	0.258068	+	0.187498i	0.00851288	+	0.00618497i	0.592034	−	0.805913i	$-0.298325\pi$
$919$	0.258068	+	0.187498i	0.00851288	+	0.00618497i	−0.583521	+	0.812098i	$0.698325\pi$
$920$	5.41356	−	16.6612i	0.178480	−	0.549304i
$921$	−2.38710	−	7.34672i	−0.0786575	−	0.242083i
$922$	−65.4590	+	47.5588i	−2.15578	+	1.56626i
$923$	5.83327			0.192005
$924$	1.33029	+	1.84932i	0.0437632	+	0.0608381i
$925$	5.71217			0.187815
$926$	19.9185	−	14.4716i	0.654561	−	0.475567i
$927$	1.23525	+	3.80172i	0.0405711	+	0.124865i
$928$	−11.7841	+	36.2678i	−0.386832	+	1.19055i
$929$	−45.4270	−	33.0046i	−1.49041	−	1.08285i	−0.974011	−	0.226500i	$-0.927272\pi$
$929$	−45.4270	−	33.0046i	−1.49041	−	1.08285i	−0.516400	−	0.856347i	$-0.672728\pi$
$930$	−4.77460	−	3.46895i	−0.156565	−	0.113751i
$931$	11.9394	−	36.7456i	0.391297	−	1.20429i
$932$	−6.28115	−	19.3314i	−0.205746	−	0.633221i
$933$	15.4691	−	11.2390i	0.506436	−	0.367947i
$934$	−69.8301			−2.28491
$935$	8.42690	+	2.78221i	0.275589	+	0.0909880i
$936$	−3.55346			−0.116149
$937$	−29.8061	+	21.6554i	−0.973724	+	0.707452i	−0.956297	−	0.292396i	$-0.905547\pi$
$937$	−29.8061	+	21.6554i	−0.973724	+	0.707452i	−0.0174269	+	0.999848i	$0.505547\pi$
$938$	−0.459148	−	1.41311i	−0.0149917	−	0.0461397i
$939$	0.897097	−	2.76098i	0.0292756	−	0.0901012i
$940$	31.1609	+	22.6397i	1.01636	+	0.738426i
$941$	12.3865	+	8.99929i	0.403787	+	0.293368i	0.771082	−	0.636736i	$-0.219716\pi$
$941$	12.3865	+	8.99929i	0.403787	+	0.293368i	−0.367295	+	0.930105i	$0.619716\pi$
$942$	1.91162	−	5.88335i	0.0622838	−	0.191690i
$943$	12.2805	+	37.7956i	0.399909	+	1.23079i
$944$	13.5991	−	9.88030i	0.442612	−	0.321576i
$945$	0.193527			0.00629544
$946$	−0.188998	+	39.9510i	−0.00614486	+	1.29892i
$947$	−22.6654			−0.736526			−0.368263	−	0.929722i	$-0.620047\pi$
$947$	−22.6654			−0.736526			−0.368263	+	0.929722i	$0.620047\pi$
$948$	−29.1528	+	21.1807i	−0.946838	+	0.687918i
$949$	0.994821	+	3.06174i	0.0322933	+	0.0993884i
$950$	4.03950	−	12.4323i	0.131059	−	0.403358i
$951$	−1.82962	−	1.32930i	−0.0593295	−	0.0431054i
$952$	−1.52884	−	1.11076i	−0.0495499	−	0.0360001i
$953$	12.1544	−	37.4074i	0.393719	−	1.21174i	−0.536235	−	0.844069i	$-0.680154\pi$
$953$	12.1544	−	37.4074i	0.393719	−	1.21174i	0.929955	−	0.367675i	$-0.119846\pi$
$954$	6.76171	+	20.8104i	0.218918	+	0.673762i
$955$	−0.337440	+	0.245165i	−0.0109193	+	0.00793334i
$956$	−86.4870			−2.79719
$957$	19.8525	−	27.0545i	0.641740	−	0.874548i
$958$	31.1388			1.00605
$959$	2.39459	−	1.73977i	0.0773254	−	0.0561802i
$960$	−3.66971	−	11.2942i	−0.118439	−	0.364519i
$961$	−7.63993	+	23.5133i	−0.246449	+	0.758493i
$962$	10.5999	+	7.70130i	0.341756	+	0.248300i
$963$	−3.95352	−	2.87240i	−0.127400	−	0.0925618i
$964$	−18.3249	+	56.3984i	−0.590207	+	1.81647i
$965$	3.61443	+	11.1241i	0.116353	+	0.358096i
$966$	−1.77048	+	1.28633i	−0.0569644	+	0.0413871i
$967$	3.06103			0.0984360			0.0492180	−	0.998788i	$-0.484327\pi$
$967$	3.06103			0.0984360			0.0492180	+	0.998788i	$0.484327\pi$
$968$	−32.6986	+	23.2875i	−1.05097	+	0.748487i
$969$	14.8480			0.476987
$970$	−30.2110	+	21.9496i	−0.970016	+	0.704758i
$971$	9.90043	+	30.4704i	0.317720	+	0.977841i	0.974620	+	0.223864i	$0.0718672\pi$
$971$	9.90043	+	30.4704i	0.317720	+	0.977841i	−0.656900	+	0.753977i	$0.728133\pi$
$972$	1.09676	−	3.37549i	0.0351787	−	0.108269i
$973$	3.07788	+	2.23621i	0.0986724	+	0.0716897i
$974$	−80.9911	−	58.8434i	−2.59512	−	1.88547i
$975$	0.300892	−	0.926052i	0.00963627	−	0.0296574i
$976$	0.558436	+	1.71869i	0.0178751	+	0.0550139i
$977$	43.0366	−	31.2679i	1.37686	−	1.00035i	0.379697	−	0.925111i	$-0.376028\pi$
$977$	43.0366	−	31.2679i	1.37686	−	1.00035i	0.997166	−	0.0752388i	$-0.0239719\pi$
$978$	−55.8848			−1.78700
$979$	−14.4074	+	19.6340i	−0.460462	+	0.627507i
$980$	−24.7115			−0.789379
$981$	6.08362	−	4.42001i	0.194235	−	0.141120i
$982$	11.4619	+	35.2762i	0.365765	+	1.12571i
$983$	−7.57104	+	23.3013i	−0.241479	+	0.743195i	0.754717	+	0.656051i	$0.227774\pi$
$983$	−7.57104	+	23.3013i	−0.241479	+	0.743195i	−0.996196	+	0.0871446i	$0.972226\pi$
$984$	−24.4421	−	17.7582i	−0.779185	−	0.566111i
$985$	−17.4714	−	12.6937i	−0.556685	−	0.404456i
$986$	−19.7071	+	60.6521i	−0.627601	+	1.93156i
$987$	−0.649001	−	1.99742i	−0.0206579	−	0.0635786i
$988$	15.5149	−	11.2722i	0.493593	−	0.358616i
$989$	−24.5470			−0.780549
$990$	−0.0369604	+	7.81280i	−0.00117468	+	0.248307i
$991$	−6.34819			−0.201657			−0.100828	−	0.994904i	$-0.532149\pi$
$991$	−6.34819			−0.201657			−0.100828	+	0.994904i	$0.532149\pi$
$992$	7.63924	−	5.55023i	0.242546	−	0.176220i
$993$	1.86132	+	5.72856i	0.0590673	+	0.181790i
$994$	−0.843962	+	2.59745i	−0.0267689	+	0.0823861i
$995$	−6.27820	−	4.56138i	−0.199032	−	0.144605i
$996$	−23.8756	−	17.3466i	−0.756528	−	0.549650i
$997$	−8.01777	+	24.6761i	−0.253925	+	0.781501i	0.740114	+	0.672481i	$0.234771\pi$
$997$	−8.01777	+	24.6761i	−0.253925	+	0.781501i	−0.994040	+	0.109020i	$0.965229\pi$
$998$	24.4064	+	75.1152i	0.772572	+	2.37773i
$999$	−4.62125	+	3.35753i	−0.146210	+	0.106228i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.m.d.91.2	✓	8
3.2	odd	2		495.2.n.a.91.1		8
5.2	odd	4		825.2.bx.f.124.4		16
5.3	odd	4		825.2.bx.f.124.1		16
5.4	even	2		825.2.n.g.751.1		8
11.2	odd	10		1815.2.a.w.1.4		4
11.4	even	5	inner	165.2.m.d.136.2	yes	8
11.9	even	5		1815.2.a.p.1.1		4
33.2	even	10		5445.2.a.bf.1.1		4
33.20	odd	10		5445.2.a.bt.1.4		4
33.26	odd	10		495.2.n.a.136.1		8
55.4	even	10		825.2.n.g.301.1		8
55.9	even	10		9075.2.a.di.1.4		4
55.24	odd	10		9075.2.a.cm.1.1		4
55.37	odd	20		825.2.bx.f.499.1		16
55.48	odd	20		825.2.bx.f.499.4		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.m.d.91.2	✓	8	1.1	even	1	trivial
165.2.m.d.136.2	yes	8	11.4	even	5	inner
495.2.n.a.91.1		8	3.2	odd	2
495.2.n.a.136.1		8	33.26	odd	10
825.2.n.g.301.1		8	55.4	even	10
825.2.n.g.751.1		8	5.4	even	2
825.2.bx.f.124.1		16	5.3	odd	4
825.2.bx.f.124.4		16	5.2	odd	4
825.2.bx.f.499.1		16	55.37	odd	20
825.2.bx.f.499.4		16	55.48	odd	20
1815.2.a.p.1.1		4	11.9	even	5
1815.2.a.w.1.4		4	11.2	odd	10
5445.2.a.bf.1.1		4	33.2	even	10
5445.2.a.bt.1.4		4	33.20	odd	10
9075.2.a.cm.1.1		4	55.24	odd	10
9075.2.a.di.1.4		4	55.9	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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.m (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.90578 - 1.38463i) q^{2} +(0.309017 + 0.951057i) q^{3} +(1.09676 - 3.37549i) q^{4} +(-0.809017 - 0.587785i) q^{5} +(1.90578 + 1.38463i) q^{6} +(0.0598032 - 0.184055i) q^{7} +(-1.12773 - 3.47080i) q^{8} +(-0.809017 + 0.587785i) q^{9} +O(q^{10})\)	\(q+(1.90578 - 1.38463i) q^{2} +(0.309017 + 0.951057i) q^{3} +(1.09676 - 3.37549i) q^{4} +(-0.809017 - 0.587785i) q^{5} +(1.90578 + 1.38463i) q^{6} +(0.0598032 - 0.184055i) q^{7} +(-1.12773 - 3.47080i) q^{8} +(-0.809017 + 0.587785i) q^{9} -2.35567 q^{10} +(-1.96213 + 2.67395i) q^{11} +3.54920 q^{12} +(-0.787747 + 0.572331i) q^{13} +(-0.140877 - 0.433574i) q^{14} +(0.309017 - 0.951057i) q^{15} +(-1.21225 - 0.880754i) q^{16} +(2.16469 + 1.57274i) q^{17} +(-0.727943 + 2.24038i) q^{18} +(-1.71480 - 5.27760i) q^{19} +(-2.87136 + 2.08617i) q^{20} +0.193527 q^{21} +(-0.0369604 + 7.81280i) q^{22} -4.80040 q^{23} +(2.95244 - 2.14507i) q^{24} +(0.309017 + 0.951057i) q^{25} +(-0.708805 + 2.18148i) q^{26} +(-0.809017 - 0.587785i) q^{27} +(-0.555687 - 0.403730i) q^{28} +(-3.12657 + 9.62260i) q^{29} +(-0.727943 - 2.24038i) q^{30} +(2.02685 - 1.47259i) q^{31} +3.76902 q^{32} +(-3.14941 - 1.03980i) q^{33} +6.30309 q^{34} +(-0.156567 + 0.113752i) q^{35} +(1.09676 + 3.37549i) q^{36} +(1.76516 - 5.43260i) q^{37} +(-10.5756 - 7.68359i) q^{38} +(-0.787747 - 0.572331i) q^{39} +(-1.12773 + 3.47080i) q^{40} +(-2.55823 - 7.87342i) q^{41} +(0.368820 - 0.267964i) q^{42} +5.11353 q^{43} +(6.87391 + 9.55586i) q^{44} +1.00000 q^{45} +(-9.14851 + 6.64678i) q^{46} +(-3.35354 - 10.3211i) q^{47} +(0.463040 - 1.42509i) q^{48} +(5.63282 + 4.09248i) q^{49} +(1.90578 + 1.38463i) q^{50} +(-0.826838 + 2.54475i) q^{51} +(1.06793 + 3.28674i) q^{52} +(7.51479 - 5.45981i) q^{53} -2.35567 q^{54} +(3.15911 - 1.00996i) q^{55} -0.706260 q^{56} +(4.48940 - 3.26174i) q^{57} +(7.36518 + 22.6677i) q^{58} +(-3.46656 + 10.6690i) q^{59} +(-2.87136 - 2.08617i) q^{60} +(-0.975693 - 0.708883i) q^{61} +(1.82374 - 5.61288i) q^{62} +(0.0598032 + 0.184055i) q^{63} +(9.60743 - 6.98021i) q^{64} +0.973708 q^{65} +(-7.44184 + 2.37914i) q^{66} +3.25922 q^{67} +(7.68293 - 5.58197i) q^{68} +(-1.48341 - 4.56545i) q^{69} +(-0.140877 + 0.433574i) q^{70} +(-4.84664 - 3.52129i) q^{71} +(2.95244 + 2.14507i) q^{72} +(1.02168 - 3.14442i) q^{73} +(-4.15814 - 12.7974i) q^{74} +(-0.809017 + 0.587785i) q^{75} -19.6952 q^{76} +(0.374813 + 0.521052i) q^{77} -2.29374 q^{78} +(-8.21389 + 5.96774i) q^{79} +(0.463040 + 1.42509i) q^{80} +(0.309017 - 0.951057i) q^{81} +(-15.7772 - 11.4628i) q^{82} +(-6.72704 - 4.88748i) q^{83} +(0.212253 - 0.653249i) q^{84} +(-0.826838 - 2.54475i) q^{85} +(9.74527 - 7.08035i) q^{86} -10.1178 q^{87} +(11.4935 + 3.79468i) q^{88} +7.34270 q^{89} +(1.90578 - 1.38463i) q^{90} +(0.0582308 + 0.179216i) q^{91} +(-5.26490 + 16.2037i) q^{92} +(2.02685 + 1.47259i) q^{93} +(-20.6821 - 15.0264i) q^{94} +(-1.71480 + 5.27760i) q^{95} +(1.16469 + 3.58455i) q^{96} +(12.8248 - 9.31774i) q^{97} +16.4015 q^{98} +(0.0156899 - 3.31659i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 4 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{5} + 4 q^{6} + 3 q^{7} - q^{8} - 2 q^{9}+O(q^{10}) \) 8 * q + 4 * q^2 - 2 * q^3 + 2 * q^4 - 2 * q^5 + 4 * q^6 + 3 * q^7 - q^8 - 2 * q^9	\( 8 q + 4 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{5} + 4 q^{6} + 3 q^{7} - q^{8} - 2 q^{9} - 6 q^{10} + 3 q^{11} + 2 q^{12} - 4 q^{13} - 4 q^{14} - 2 q^{15} - 12 q^{16} - q^{18} + 2 q^{19} - 3 q^{20} - 12 q^{21} + 9 q^{22} - 6 q^{23} + 4 q^{24} - 2 q^{25} + 2 q^{26} - 2 q^{27} - 11 q^{28} + 10 q^{29} - q^{30} + 19 q^{31} + 12 q^{32} - 2 q^{33} - 6 q^{34} + 3 q^{35} + 2 q^{36} - q^{37} - 20 q^{38} - 4 q^{39} - q^{40} - 9 q^{41} + q^{42} + 17 q^{44} + 8 q^{45} - 22 q^{46} - 19 q^{47} + 13 q^{48} + q^{49} + 4 q^{50} + 10 q^{51} - 2 q^{52} + 25 q^{53} - 6 q^{54} + 3 q^{55} - 16 q^{56} + 7 q^{57} - 12 q^{58} + 13 q^{59} - 3 q^{60} + 13 q^{61} + 35 q^{62} + 3 q^{63} + 39 q^{64} - 14 q^{65} - 11 q^{66} + 2 q^{67} + 19 q^{68} + 9 q^{69} - 4 q^{70} - 11 q^{71} + 4 q^{72} - 7 q^{73} - 43 q^{74} - 2 q^{75} - 38 q^{76} - 7 q^{77} - 8 q^{78} - 22 q^{79} + 13 q^{80} - 2 q^{81} - 35 q^{82} - 21 q^{83} + 4 q^{84} + 10 q^{85} + 20 q^{86} - 30 q^{87} + 59 q^{88} - 20 q^{89} + 4 q^{90} - 11 q^{91} - 28 q^{92} + 19 q^{93} - 35 q^{94} + 2 q^{95} - 8 q^{96} + 31 q^{97} + 22 q^{98} - 7 q^{99}+O(q^{100}) \) 8 * q + 4 * q^2 - 2 * q^3 + 2 * q^4 - 2 * q^5 + 4 * q^6 + 3 * q^7 - q^8 - 2 * q^9 - 6 * q^10 + 3 * q^11 + 2 * q^12 - 4 * q^13 - 4 * q^14 - 2 * q^15 - 12 * q^16 - q^18 + 2 * q^19 - 3 * q^20 - 12 * q^21 + 9 * q^22 - 6 * q^23 + 4 * q^24 - 2 * q^25 + 2 * q^26 - 2 * q^27 - 11 * q^28 + 10 * q^29 - q^30 + 19 * q^31 + 12 * q^32 - 2 * q^33 - 6 * q^34 + 3 * q^35 + 2 * q^36 - q^37 - 20 * q^38 - 4 * q^39 - q^40 - 9 * q^41 + q^42 + 17 * q^44 + 8 * q^45 - 22 * q^46 - 19 * q^47 + 13 * q^48 + q^49 + 4 * q^50 + 10 * q^51 - 2 * q^52 + 25 * q^53 - 6 * q^54 + 3 * q^55 - 16 * q^56 + 7 * q^57 - 12 * q^58 + 13 * q^59 - 3 * q^60 + 13 * q^61 + 35 * q^62 + 3 * q^63 + 39 * q^64 - 14 * q^65 - 11 * q^66 + 2 * q^67 + 19 * q^68 + 9 * q^69 - 4 * q^70 - 11 * q^71 + 4 * q^72 - 7 * q^73 - 43 * q^74 - 2 * q^75 - 38 * q^76 - 7 * q^77 - 8 * q^78 - 22 * q^79 + 13 * q^80 - 2 * q^81 - 35 * q^82 - 21 * q^83 + 4 * q^84 + 10 * q^85 + 20 * q^86 - 30 * q^87 + 59 * q^88 - 20 * q^89 + 4 * q^90 - 11 * q^91 - 28 * q^92 + 19 * q^93 - 35 * q^94 + 2 * q^95 - 8 * q^96 + 31 * q^97 + 22 * q^98 - 7 * q^99

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