LMFDB - Embedded newform 170.2.o.a.57.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(3,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 1]))

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

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

chi := DirichletCharacter("170.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.o (of order $16$, degree $8$, 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:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			57.1
Character	$\chi$	$=$	170.57
Dual form			170.2.o.a.3.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.382683 - 0.923880i) q^{2} +(-0.800867 + 1.19858i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(-0.598768 - 2.15441i) q^{5} +(1.41382 + 0.281227i) q^{6} +(0.660909 - 3.32261i) q^{7} +(0.923880 + 0.382683i) q^{8} +(0.352840 + 0.851831i) q^{9} +O(q^{10})$	\(q+(-0.382683 - 0.923880i) q^{2} +(-0.800867 + 1.19858i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(-0.598768 - 2.15441i) q^{5} +(1.41382 + 0.281227i) q^{6} +(0.660909 - 3.32261i) q^{7} +(0.923880 + 0.382683i) q^{8} +(0.352840 + 0.851831i) q^{9} +(-1.76128 + 1.37765i) q^{10} +(0.778556 - 3.91407i) q^{11} +(-0.281227 - 1.41382i) q^{12} -4.10923i q^{13} +(-3.32261 + 0.660909i) q^{14} +(3.06177 + 1.00772i) q^{15} -1.00000i q^{16} +(2.71444 - 3.10352i) q^{17} +(0.651963 - 0.651963i) q^{18} +(-2.45357 + 5.92345i) q^{19} +(1.94679 + 1.10000i) q^{20} +(3.45312 + 3.45312i) q^{21} +(-3.91407 + 0.778556i) q^{22} +(-2.73008 + 1.82418i) q^{23} +(-1.19858 + 0.800867i) q^{24} +(-4.28295 + 2.57998i) q^{25} +(-3.79643 + 1.57253i) q^{26} +(-5.54504 - 1.10298i) q^{27} +(1.88211 + 2.81678i) q^{28} +(4.93652 - 7.38803i) q^{29} +(-0.240675 - 3.21434i) q^{30} +(2.05047 + 10.3084i) q^{31} +(-0.923880 + 0.382683i) q^{32} +(4.06781 + 4.06781i) q^{33} +(-3.90605 - 1.32015i) q^{34} +(-7.55400 + 0.565608i) q^{35} +(-0.851831 - 0.352840i) q^{36} +(5.26741 + 3.51957i) q^{37} +6.41149 q^{38} +(4.92525 + 3.29095i) q^{39} +(0.271267 - 2.21955i) q^{40} +(0.637150 + 0.953562i) q^{41} +(1.86882 - 4.51172i) q^{42} +(1.76828 - 4.26901i) q^{43} +(2.21714 + 3.31818i) q^{44} +(1.62392 - 1.27021i) q^{45} +(2.73008 + 1.82418i) q^{46} +0.236401 q^{47} +(1.19858 + 0.800867i) q^{48} +(-4.13581 - 1.71311i) q^{49} +(4.02261 + 2.96962i) q^{50} +(1.54592 + 5.73898i) q^{51} +(2.90567 + 2.90567i) q^{52} +(0.849962 - 0.352066i) q^{53} +(1.10298 + 5.54504i) q^{54} +(-8.89867 + 0.666291i) q^{55} +(1.88211 - 2.81678i) q^{56} +(-5.13475 - 7.68469i) q^{57} +(-8.71477 - 1.73348i) q^{58} +(3.06957 - 1.27146i) q^{59} +(-2.87756 + 1.45243i) q^{60} +(0.930398 - 0.621672i) q^{61} +(8.73903 - 5.83924i) q^{62} +(3.06350 - 0.609368i) q^{63} +(0.707107 + 0.707107i) q^{64} +(-8.85296 + 2.46048i) q^{65} +(2.20148 - 5.31485i) q^{66} +(-6.65464 + 6.65464i) q^{67} +(0.275124 + 4.11392i) q^{68} -4.73315i q^{69} +(3.41334 + 6.76254i) q^{70} +(6.11118 - 1.21559i) q^{71} +0.922015i q^{72} +(-0.411656 - 2.06953i) q^{73} +(1.23591 - 6.21333i) q^{74} +(0.337754 - 7.19969i) q^{75} +(-2.45357 - 5.92345i) q^{76} +(-12.4904 - 5.17368i) q^{77} +(1.15563 - 5.80973i) q^{78} +(0.0457198 + 0.00909423i) q^{79} +(-2.15441 + 0.598768i) q^{80} +(3.80695 - 3.80695i) q^{81} +(0.637150 - 0.953562i) q^{82} +(0.376601 + 0.909194i) q^{83} -4.88345 q^{84} +(-8.31157 - 3.98972i) q^{85} -4.62074 q^{86} +(4.90166 + 11.8337i) q^{87} +(2.21714 - 3.31818i) q^{88} +(-6.70937 + 6.70937i) q^{89} +(-1.79497 - 1.01422i) q^{90} +(-13.6534 - 2.71583i) q^{91} +(0.640567 - 3.22035i) q^{92} +(-13.9976 - 5.79800i) q^{93} +(-0.0904666 - 0.218406i) q^{94} +(14.2306 + 1.73922i) q^{95} +(0.281227 - 1.41382i) q^{96} +(1.36207 + 6.84757i) q^{97} +4.47657i q^{98} +(3.60883 - 0.717841i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q+O(q^{10}) $ 32 * q	$ 32 q + 8 q^{10} - 40 q^{15} + 16 q^{18} + 8 q^{20} - 8 q^{25} + 8 q^{26} - 72 q^{27} + 8 q^{28} + 8 q^{29} - 16 q^{31} - 64 q^{33} - 24 q^{34} + 32 q^{35} + 16 q^{37} + 32 q^{39} - 8 q^{40} + 16 q^{41} - 40 q^{42} + 48 q^{43} + 16 q^{44} + 24 q^{45} - 64 q^{47} + 16 q^{49} + 32 q^{50} + 32 q^{51} - 16 q^{52} - 24 q^{54} + 8 q^{55} + 8 q^{56} - 8 q^{57} - 16 q^{58} + 64 q^{59} - 48 q^{60} - 24 q^{61} - 24 q^{62} - 24 q^{63} - 16 q^{65} - 16 q^{67} - 16 q^{68} + 24 q^{70} + 8 q^{71} + 16 q^{73} - 8 q^{74} - 8 q^{75} + 40 q^{77} + 48 q^{78} - 72 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} - 8 q^{85} - 64 q^{86} + 24 q^{87} + 16 q^{88} - 16 q^{89} + 48 q^{90} + 48 q^{91} + 8 q^{92} + 8 q^{93} - 8 q^{94} + 40 q^{95} + 16 q^{97} + 64 q^{99}+O(q^{100}) $ 32 * q + 8 * q^10 - 40 * q^15 + 16 * q^18 + 8 * q^20 - 8 * q^25 + 8 * q^26 - 72 * q^27 + 8 * q^28 + 8 * q^29 - 16 * q^31 - 64 * q^33 - 24 * q^34 + 32 * q^35 + 16 * q^37 + 32 * q^39 - 8 * q^40 + 16 * q^41 - 40 * q^42 + 48 * q^43 + 16 * q^44 + 24 * q^45 - 64 * q^47 + 16 * q^49 + 32 * q^50 + 32 * q^51 - 16 * q^52 - 24 * q^54 + 8 * q^55 + 8 * q^56 - 8 * q^57 - 16 * q^58 + 64 * q^59 - 48 * q^60 - 24 * q^61 - 24 * q^62 - 24 * q^63 - 16 * q^65 - 16 * q^67 - 16 * q^68 + 24 * q^70 + 8 * q^71 + 16 * q^73 - 8 * q^74 - 8 * q^75 + 40 * q^77 + 48 * q^78 - 72 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 - 8 * q^85 - 64 * q^86 + 24 * q^87 + 16 * q^88 - 16 * q^89 + 48 * q^90 + 48 * q^91 + 8 * q^92 + 8 * q^93 - 8 * q^94 + 40 * q^95 + 16 * q^97 + 64 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	−0.382683	−	0.923880i	−0.270598	−	0.653281i
$2$	−0.382683	−	0.923880i	−0.270598	−	0.653281i
$3$	−0.800867	+	1.19858i	−0.462381	+	0.692001i	−0.987249	−	0.159182i	$-0.949114\pi$
$3$	−0.800867	+	1.19858i	−0.462381	+	0.692001i	0.524869	+	0.851183i	$0.324114\pi$
$4$	−0.707107	+	0.707107i	−0.353553	+	0.353553i
$5$	−0.598768	−	2.15441i	−0.267777	−	0.963481i
$5$	−0.598768	−	2.15441i	−0.267777	−	0.963481i
$6$	1.41382	+	0.281227i	0.577191	+	0.114810i
$7$	0.660909	−	3.32261i	0.249800	−	1.25583i	−0.628534	−	0.777782i	$-0.716345\pi$
$7$	0.660909	−	3.32261i	0.249800	−	1.25583i	0.878334	−	0.478048i	$-0.158655\pi$
$8$	0.923880	+	0.382683i	0.326641	+	0.135299i
$9$	0.352840	+	0.851831i	0.117613	+	0.283944i
$10$	−1.76128	+	1.37765i	−0.556964	+	0.435650i
$11$	0.778556	−	3.91407i	0.234743	−	1.18014i	−0.666057	−	0.745901i	$-0.732019\pi$
$11$	0.778556	−	3.91407i	0.234743	−	1.18014i	0.900800	−	0.434234i	$-0.142981\pi$
$12$	−0.281227	−	1.41382i	−0.0811832	−	0.408136i
$13$		−	4.10923i		−	1.13970i	−0.821750	−	0.569848i	$-0.807002\pi$
$13$		−	4.10923i		−	1.13970i	0.821750	−	0.569848i	$-0.192998\pi$
$14$	−3.32261	+	0.660909i	−0.888006	+	0.176635i
$15$	3.06177	+	1.00772i	0.790545	+	0.260192i
$16$		−	1.00000i		−	0.250000i
$17$	2.71444	−	3.10352i	0.658348	−	0.752714i
$17$	2.71444	−	3.10352i	0.658348	−	0.752714i
$18$	0.651963	−	0.651963i	0.153669	−	0.153669i
$19$	−2.45357	+	5.92345i	−0.562888	+	1.35893i	0.344559	+	0.938765i	$0.388028\pi$
$19$	−2.45357	+	5.92345i	−0.562888	+	1.35893i	−0.907447	+	0.420167i	$0.861972\pi$
$20$	1.94679	+	1.10000i	0.435315	+	0.245968i
$21$	3.45312	+	3.45312i	0.753533	+	0.753533i
$22$	−3.91407	+	0.778556i	−0.834482	+	0.165989i
$23$	−2.73008	+	1.82418i	−0.569261	+	0.380368i	−0.806635	−	0.591050i	$-0.798713\pi$
$23$	−2.73008	+	1.82418i	−0.569261	+	0.380368i	0.237374	+	0.971418i	$0.423713\pi$
$24$	−1.19858	+	0.800867i	−0.244659	+	0.163476i
$25$	−4.28295	+	2.57998i	−0.856591	+	0.515997i
$26$	−3.79643	+	1.57253i	−0.744542	+	0.308399i
$27$	−5.54504	−	1.10298i	−1.06714	−	0.212268i
$28$	1.88211	+	2.81678i	0.355685	+	0.532321i
$29$	4.93652	−	7.38803i	0.916689	−	1.37192i	−0.0115476	−	0.999933i	$-0.503676\pi$
$29$	4.93652	−	7.38803i	0.916689	−	1.37192i	0.928237	−	0.371989i	$-0.121324\pi$
$30$	−0.240675	−	3.21434i	−0.0439410	−	0.586856i
$31$	2.05047	+	10.3084i	0.368275	+	1.85144i	0.508144	+	0.861272i	$0.330332\pi$
$31$	2.05047	+	10.3084i	0.368275	+	1.85144i	−0.139869	+	0.990170i	$0.544668\pi$
$32$	−0.923880	+	0.382683i	−0.163320	+	0.0676495i
$33$	4.06781	+	4.06781i	0.708114	+	0.708114i
$34$	−3.90605	−	1.32015i	−0.669882	−	0.226403i
$35$	−7.55400	+	0.565608i	−1.27686	+	0.0956052i
$36$	−0.851831	−	0.352840i	−0.141972	−	0.0588067i
$37$	5.26741	+	3.51957i	0.865957	+	0.578614i	0.907278	−	0.420532i	$-0.138157\pi$
$37$	5.26741	+	3.51957i	0.865957	+	0.578614i	−0.0413208	+	0.999146i	$0.513157\pi$
$38$	6.41149			1.04008
$39$	4.92525	+	3.29095i	0.788671	+	0.526973i
$40$	0.271267	−	2.21955i	0.0428910	−	0.350942i
$41$	0.637150	+	0.953562i	0.0995060	+	0.148921i	0.877882	−	0.478877i	$-0.158956\pi$
$41$	0.637150	+	0.953562i	0.0995060	+	0.148921i	−0.778376	+	0.627799i	$0.783956\pi$
$42$	1.86882	−	4.51172i	0.288365	−	0.696174i
$43$	1.76828	−	4.26901i	0.269660	−	0.651017i	−0.729807	−	0.683653i	$-0.760390\pi$
$43$	1.76828	−	4.26901i	0.269660	−	0.651017i	0.999467	+	0.0326358i	$0.0103901\pi$
$44$	2.21714	+	3.31818i	0.334246	+	0.500235i
$45$	1.62392	−	1.27021i	0.242080	−	0.189352i
$46$	2.73008	+	1.82418i	0.402528	+	0.268961i
$47$	0.236401			0.0344826			0.0172413	−	0.999851i	$-0.494512\pi$
$47$	0.236401			0.0344826			0.0172413	+	0.999851i	$0.494512\pi$
$48$	1.19858	+	0.800867i	0.173000	+	0.115595i
$49$	−4.13581	−	1.71311i	−0.590830	−	0.244730i
$50$	4.02261	+	2.96962i	0.568883	+	0.419967i
$51$	1.54592	+	5.73898i	0.216472	+	0.803618i
$52$	2.90567	+	2.90567i	0.402943	+	0.402943i
$53$	0.849962	−	0.352066i	0.116751	−	0.0483600i	−0.323543	−	0.946213i	$-0.604874\pi$
$53$	0.849962	−	0.352066i	0.116751	−	0.0483600i	0.440294	+	0.897853i	$0.354874\pi$
$54$	1.10298	+	5.54504i	0.150096	+	0.754584i
$55$	−8.89867	+	0.666291i	−1.19990	+	0.0898426i
$56$	1.88211	−	2.81678i	0.251507	−	0.376408i
$57$	−5.13475	−	7.68469i	−0.680114	−	1.01786i
$58$	−8.71477	−	1.73348i	−1.14431	−	0.227617i
$59$	3.06957	−	1.27146i	0.399625	−	0.165530i	−0.173814	−	0.984779i	$-0.555609\pi$
$59$	3.06957	−	1.27146i	0.399625	−	0.165530i	0.573439	+	0.819249i	$0.305609\pi$
$60$	−2.87756	+	1.45243i	−0.371492	+	0.187508i
$61$	0.930398	−	0.621672i	0.119125	−	0.0795970i	−0.494580	−	0.869132i	$-0.664678\pi$
$61$	0.930398	−	0.621672i	0.119125	−	0.0795970i	0.613706	+	0.789535i	$0.289678\pi$
$62$	8.73903	−	5.83924i	1.10986	−	0.741584i
$63$	3.06350	−	0.609368i	0.385965	−	0.0767732i
$64$	0.707107	+	0.707107i	0.0883883	+	0.0883883i
$65$	−8.85296	+	2.46048i	−1.09807	+	0.305185i
$66$	2.20148	−	5.31485i	0.270984	−	0.654212i
$67$	−6.65464	+	6.65464i	−0.812994	+	0.812994i	−0.985082	−	0.172088i	$-0.944949\pi$
$67$	−6.65464	+	6.65464i	−0.812994	+	0.812994i	0.172088	+	0.985082i	$0.444949\pi$
$68$	0.275124	+	4.11392i	0.0333636	+	0.498886i
$69$		−	4.73315i		−	0.569804i
$70$	3.41334	+	6.76254i	0.407973	+	0.808278i
$71$	6.11118	−	1.21559i	0.725264	−	0.144264i	0.181366	−	0.983416i	$-0.441948\pi$
$71$	6.11118	−	1.21559i	0.725264	−	0.144264i	0.543897	+	0.839152i	$0.316948\pi$
$72$			0.922015i			0.108661i
$73$	−0.411656	−	2.06953i	−0.0481806	−	0.242220i	0.949189	−	0.314707i	$-0.101906\pi$
$73$	−0.411656	−	2.06953i	−0.0481806	−	0.242220i	−0.997369	+	0.0724870i	$0.976906\pi$
$74$	1.23591	−	6.21333i	0.143671	−	0.722285i
$75$	0.337754	−	7.19969i	0.0390004	−	0.831349i
$76$	−2.45357	−	5.92345i	−0.281444	−	0.679466i
$77$	−12.4904	−	5.17368i	−1.42341	−	0.589596i
$78$	1.15563	−	5.80973i	0.130849	−	0.657822i
$79$	0.0457198	+	0.00909423i	0.00514388	+	0.00102318i	0.197662	−	0.980270i	$-0.436665\pi$
$79$	0.0457198	+	0.00909423i	0.00514388	+	0.00102318i	−0.192518	+	0.981293i	$0.561665\pi$
$80$	−2.15441	+	0.598768i	−0.240870	+	0.0669443i
$81$	3.80695	−	3.80695i	0.422995	−	0.422995i
$82$	0.637150	−	0.953562i	0.0703614	−	0.105303i
$83$	0.376601	+	0.909194i	0.0413373	+	0.0997970i	0.943200	−	0.332226i	$-0.107800\pi$
$83$	0.376601	+	0.909194i	0.0413373	+	0.0997970i	−0.901862	+	0.432023i	$0.857800\pi$
$84$	−4.88345			−0.532829
$85$	−8.31157	−	3.98972i	−0.901516	−	0.432745i
$86$	−4.62074			−0.498267
$87$	4.90166	+	11.8337i	0.525513	+	1.26870i
$88$	2.21714	−	3.31818i	0.236348	−	0.353720i
$89$	−6.70937	+	6.70937i	−0.711191	+	0.711191i	−0.966784	−	0.255593i	$-0.917729\pi$
$89$	−6.70937	+	6.70937i	−0.711191	+	0.711191i	0.255593	+	0.966784i	$0.417729\pi$
$90$	−1.79497	−	1.01422i	−0.189206	−	0.106908i
$91$	−13.6534	−	2.71583i	−1.43126	−	0.284696i
$92$	0.640567	−	3.22035i	0.0667838	−	0.335745i
$93$	−13.9976	−	5.79800i	−1.45148	−	0.601224i
$94$	−0.0904666	−	0.218406i	−0.00933091	−	0.0225268i
$95$	14.2306	+	1.73922i	1.46003	+	0.178441i
$96$	0.281227	−	1.41382i	0.0287026	−	0.144298i
$97$	1.36207	+	6.84757i	0.138297	+	0.695265i	0.986259	+	0.165208i	$0.0528295\pi$
$97$	1.36207	+	6.84757i	0.138297	+	0.695265i	−0.847962	+	0.530057i	$0.822170\pi$
$98$			4.47657i			0.452201i
$99$	3.60883	−	0.717841i	0.362701	−	0.0721457i
$100$	1.20418	−	4.85283i	0.120418	−	0.485283i
$101$			0.274817i			0.0273453i	0.999907	+	0.0136727i	$0.00435228\pi$
$101$			0.274817i			0.0273453i	−0.999907	+	0.0136727i	$0.995648\pi$
$102$	4.71053	−	3.62446i	0.466412	−	0.358875i
$103$	2.76147	−	2.76147i	0.272096	−	0.272096i	−0.557848	−	0.829943i	$-0.688373\pi$
$103$	2.76147	−	2.76147i	0.272096	−	0.272096i	0.829943	+	0.557848i	$0.188373\pi$
$104$	1.57253	−	3.79643i	0.154200	−	0.372271i
$105$	5.37182	−	9.50706i	0.524236	−	0.927794i
$106$	−0.650533	−	0.650533i	−0.0631854	−	0.0631854i
$107$	11.9040	−	2.36785i	1.15080	−	0.228909i	0.417414	−	0.908717i	$-0.362937\pi$
$107$	11.9040	−	2.36785i	1.15080	−	0.228909i	0.733391	+	0.679807i	$0.237937\pi$
$108$	4.70085	−	3.14101i	0.452340	−	0.302244i
$109$	15.8475	−	10.5890i	1.51792	−	1.01424i	0.532048	−	0.846714i	$-0.321423\pi$
$109$	15.8475	−	10.5890i	1.51792	−	1.01424i	0.985868	−	0.167525i	$-0.0535774\pi$
$110$	4.02095	+	7.96632i	0.383382	+	0.759559i
$111$	−8.43698	+	3.49471i	−0.800803	+	0.331704i
$112$	−3.32261	−	0.660909i	−0.313958	−	0.0624500i
$113$	3.46908	+	5.19185i	0.326344	+	0.488408i	0.957971	−	0.286864i	$-0.0926128\pi$
$113$	3.46908	+	5.19185i	0.326344	+	0.488408i	−0.631628	+	0.775272i	$0.717613\pi$
$114$	−5.13475	+	7.68469i	−0.480913	+	0.719738i
$115$	5.56472	+	4.78945i	0.518913	+	0.446618i
$116$	1.73348	+	8.71477i	0.160949	+	0.809147i
$117$	3.50037	−	1.44990i	0.323609	−	0.134043i
$118$	−2.34935	−	2.34935i	−0.216275	−	0.216275i
$119$	−8.51780	−	11.0702i	−0.780826	−	1.01480i
$120$	2.44307	+	2.10270i	0.223020	+	0.191949i
$121$	−4.55109	−	1.88512i	−0.413735	−	0.171375i
$122$	−0.930398	−	0.621672i	−0.0842343	−	0.0562836i
$123$	−1.65319			−0.149063
$124$	−8.73903	−	5.83924i	−0.784788	−	0.524379i
$125$	8.12283	+	7.68242i	0.726528	+	0.687136i
$126$	−1.73533	−	2.59711i	−0.154596	−	0.231369i
$127$	−2.16020	+	5.21517i	−0.191686	+	0.462772i	−0.990278	−	0.139101i	$-0.955579\pi$
$127$	−2.16020	+	5.21517i	−0.191686	+	0.462772i	0.798592	+	0.601873i	$0.205579\pi$
$128$	0.382683	−	0.923880i	0.0338248	−	0.0816602i
$129$	3.70059	+	5.53833i	0.325819	+	0.487623i
$130$	5.66107	+	7.23749i	0.496508	+	0.634770i
$131$	−9.76948	−	6.52776i	−0.853563	−	0.570333i	0.0500185	−	0.998748i	$-0.484072\pi$
$131$	−9.76948	−	6.52776i	−0.853563	−	0.570333i	−0.903582	+	0.428415i	$0.859072\pi$
$132$	−5.75275			−0.500712
$133$	18.0597	+	12.0671i	1.56598	+	1.04635i
$134$	8.69471	+	3.60147i	0.751108	+	0.311119i
$135$	0.943930	+	12.6067i	0.0812406	+	1.08501i
$136$	3.69548	−	1.82851i	0.316885	−	0.156793i
$137$	6.69914	+	6.69914i	0.572346	+	0.572346i	0.932783	−	0.360438i	$-0.117373\pi$
$137$	6.69914	+	6.69914i	0.572346	+	0.572346i	−0.360438	+	0.932783i	$0.617373\pi$
$138$	−4.37286	+	1.81130i	−0.372243	+	0.154188i
$139$	−0.949096	−	4.77143i	−0.0805013	−	0.404707i	−0.999934	−	0.0114607i	$-0.996352\pi$
$139$	−0.949096	−	4.77143i	−0.0805013	−	0.404707i	0.919433	−	0.393247i	$-0.128648\pi$
$140$	4.94154	−	5.74143i	0.417636	−	0.485239i
$141$	−0.189325	+	0.283345i	−0.0159441	+	0.0238620i
$142$	−3.46171	−	5.18081i	−0.290500	−	0.434764i
$143$	−16.0838	−	3.19927i	−1.34500	−	0.267536i
$144$	0.851831	−	0.352840i	0.0709859	−	0.0294033i
$145$	−18.8727	−	6.21157i	−1.56729	−	0.515843i
$146$	−1.75446	+	1.17230i	−0.145201	+	0.0970199i
$147$	5.36553	−	3.58513i	0.442541	−	0.295697i
$148$	−6.21333	+	1.23591i	−0.510733	+	0.101591i
$149$	−0.853790	−	0.853790i	−0.0699452	−	0.0699452i	0.671269	−	0.741214i	$-0.265750\pi$
$149$	−0.853790	−	0.853790i	−0.0699452	−	0.0699452i	−0.741214	+	0.671269i	$0.765750\pi$
$150$	−6.78090	+	2.44316i	−0.553658	+	0.199483i
$151$	2.75046	−	6.64020i	0.223829	−	0.540372i	−0.771574	−	0.636139i	$-0.780530\pi$
$151$	2.75046	−	6.64020i	0.223829	−	0.540372i	0.995404	+	0.0957674i	$0.0305305\pi$
$152$	−4.53361	+	4.53361i	−0.367724	+	0.367724i
$153$	3.60144	+	1.21720i	0.291159	+	0.0984044i
$154$			13.5195i			1.08943i
$155$	20.9807	−	10.5899i	1.68521	−	0.850600i
$156$	−5.80973	+	1.15563i	−0.465150	+	0.0925242i
$157$			22.3932i			1.78717i	0.448889	+	0.893587i	$0.351820\pi$
$157$			22.3932i			1.78717i	−0.448889	+	0.893587i	$0.648180\pi$
$158$	−0.00909423	−	0.0457198i	−0.000723498	−	0.00363727i
$159$	−0.258727	+	1.30071i	−0.0205184	+	0.103153i
$160$	1.37765	+	1.76128i	0.108912	+	0.139241i
$161$	4.25672	+	10.2766i	0.335476	+	0.809911i
$162$	−4.97402	−	2.06031i	−0.390796	−	0.161873i
$163$	−0.541279	+	2.72119i	−0.0423962	+	0.213140i	−0.996176	−	0.0873651i	$-0.972155\pi$
$163$	−0.541279	+	2.72119i	−0.0423962	+	0.213140i	0.953780	+	0.300505i	$0.0971553\pi$
$164$	−1.12480	−	0.223737i	−0.0878323	−	0.0174709i
$165$	6.32804	−	11.1994i	0.492638	−	0.871872i
$166$	0.695867	−	0.695867i	0.0540098	−	0.0540098i
$167$	−2.24166	+	3.35489i	−0.173465	+	0.259609i	−0.908008	−	0.418954i	$-0.862397\pi$
$167$	−2.24166	+	3.35489i	−0.173465	+	0.259609i	0.734542	+	0.678563i	$0.237397\pi$
$168$	1.86882	+	4.51172i	0.144182	+	0.348087i
$169$	−3.88578			−0.298906
$170$	−0.505317	+	9.20569i	−0.0387561	+	0.706044i
$171$	−5.91149			−0.452063
$172$	1.76828	+	4.26901i	0.134830	+	0.325509i
$173$	−6.08680	+	9.10954i	−0.462771	+	0.692585i	−0.987311	−	0.158801i	$-0.949237\pi$
$173$	−6.08680	+	9.10954i	−0.462771	+	0.692585i	0.524540	+	0.851386i	$0.324237\pi$
$174$	9.05708	−	9.05708i	0.686616	−	0.686616i
$175$	5.74165	+	15.9357i	0.434028	+	1.20463i
$176$	−3.91407	−	0.778556i	−0.295034	−	0.0586859i
$177$	−0.934372	+	4.69740i	−0.0702317	+	0.353079i
$178$	8.76621	+	3.63108i	0.657055	+	0.272161i
$179$	−1.74304	−	4.20808i	−0.130281	−	0.314527i	0.845256	−	0.534362i	$-0.179448\pi$
$179$	−1.74304	−	4.20808i	−0.130281	−	0.314527i	−0.975537	+	0.219835i	$0.929448\pi$
$180$	−0.250112	+	2.04646i	−0.0186423	+	0.152534i
$181$	4.89042	−	24.5858i	0.363502	−	1.82745i	−0.174688	−	0.984624i	$-0.555892\pi$
$181$	4.89042	−	24.5858i	0.363502	−	1.82745i	0.538190	−	0.842823i	$-0.319108\pi$
$182$	2.71583	+	13.6534i	0.201311	+	1.01206i
$183$			1.61303i			0.119239i
$184$	−3.22035	+	0.640567i	−0.237407	+	0.0472232i
$185$	4.42864	−	13.4556i	0.325600	−	0.989273i
$186$			15.1509i			1.11092i
$187$	−10.0340	−	13.0407i	−0.733762	−	0.953634i
$188$	−0.167160	+	0.167160i	−0.0121914	+	0.0121914i
$189$	−7.32953	+	17.6950i	−0.533145	+	1.28713i
$190$	−3.83900	−	13.8130i	−0.278510	−	1.00210i
$191$	14.3864	+	14.3864i	1.04096	+	1.04096i	0.999124	+	0.0418392i	$0.0133217\pi$
$191$	14.3864	+	14.3864i	1.04096	+	1.04096i	0.0418392	+	0.999124i	$0.486678\pi$
$192$	−1.41382	+	0.281227i	−0.102034	+	0.0202958i
$193$	0.682377	−	0.455950i	0.0491186	−	0.0328200i	−0.530769	−	0.847517i	$-0.678097\pi$
$193$	0.682377	−	0.455950i	0.0491186	−	0.0328200i	0.579887	+	0.814697i	$0.303097\pi$
$194$	5.80509	−	3.87883i	0.416781	−	0.278484i
$195$	4.14096	−	12.5815i	0.296540	−	0.900981i
$196$	4.13581	−	1.71311i	0.295415	−	0.122365i
$197$	−24.4932	−	4.87199i	−1.74507	−	0.347115i	−0.783438	−	0.621470i	$-0.786536\pi$
$197$	−24.4932	−	4.87199i	−1.74507	−	0.347115i	−0.961628	+	0.274355i	$0.911536\pi$
$198$	−2.04424	−	3.05942i	−0.145278	−	0.217423i
$199$	−9.38195	+	14.0411i	−0.665069	+	0.995346i	0.333546	+	0.942734i	$0.391755\pi$
$199$	−9.38195	+	14.0411i	−0.665069	+	0.995346i	−0.998615	+	0.0526122i	$0.983245\pi$
$200$	−4.94425	+	0.744578i	−0.349611	+	0.0526496i
$201$	−2.64665	−	13.3056i	−0.186680	−	0.938505i
$202$	0.253898	−	0.105168i	0.0178642	−	0.00739959i
$203$	−21.2850	−	21.2850i	−1.49391	−	1.49391i
$204$	−5.15120	−	2.96494i	−0.360656	−	0.207587i
$205$	1.67286	−	1.94364i	0.116837	−	0.135750i
$206$	−3.60803	−	1.49450i	−0.251384	−	0.104126i
$207$	−2.51718	−	1.68192i	−0.174956	−	0.116902i
$208$	−4.10923			−0.284924
$209$	21.2745	+	14.2152i	1.47159	+	0.983284i
$210$	−10.8391	−	1.32472i	−0.747968	−	0.0914143i
$211$	11.6479	+	17.4323i	0.801875	+	1.20009i	0.976513	+	0.215457i	$0.0691243\pi$
$211$	11.6479	+	17.4323i	0.801875	+	1.20009i	−0.174639	+	0.984633i	$0.555876\pi$
$212$	−0.352066	+	0.849962i	−0.0241800	+	0.0583757i
$213$	−3.43726	+	8.29827i	−0.235517	+	0.568588i
$214$	−6.74308	−	10.0917i	−0.460947	−	0.689857i
$215$	−10.2560	−	1.25345i	−0.699452	−	0.0854848i
$216$	−4.70085	−	3.14101i	−0.319853	−	0.213719i
$217$	35.6060			2.41709
$218$	−15.8475	−	10.5890i	−1.07333	−	0.717175i
$219$	2.81018	+	1.16402i	0.189895	+	0.0786569i
$220$	5.82117	−	6.76345i	0.392463	−	0.455992i
$221$	−12.7531	−	11.1542i	−0.857865	−	0.750316i
$222$	6.45739	+	6.45739i	0.433392	+	0.433392i
$223$	2.66557	−	1.10412i	0.178500	−	0.0739371i	−0.291644	−	0.956527i	$-0.594202\pi$
$223$	2.66557	−	1.10412i	0.178500	−	0.0739371i	0.470144	+	0.882590i	$0.344202\pi$
$224$	0.660909	+	3.32261i	0.0441588	+	0.222001i
$225$	−3.70891	−	2.73803i	−0.247260	−	0.182535i
$226$	3.46908	−	5.19185i	0.230760	−	0.345356i
$227$	−2.73280	−	4.08992i	−0.181382	−	0.271458i	0.729625	−	0.683847i	$-0.239694\pi$
$227$	−2.73280	−	4.08992i	−0.181382	−	0.271458i	−0.911008	+	0.412389i	$0.864694\pi$
$228$	9.06472	+	1.80308i	0.600325	+	0.119412i
$229$	12.9587	−	5.36767i	0.856336	−	0.354706i	0.0890622	−	0.996026i	$-0.471613\pi$
$229$	12.9587	−	5.36767i	0.856336	−	0.354706i	0.767273	+	0.641320i	$0.221613\pi$
$230$	2.29535	−	6.97397i	0.151351	−	0.459850i
$231$	16.2042	−	10.8273i	1.06616	−	0.712384i
$232$	7.38803	−	4.93652i	0.485048	−	0.324099i
$233$	4.52626	−	0.900329i	0.296525	−	0.0589825i	−0.0445858	−	0.999006i	$-0.514197\pi$
$233$	4.52626	−	0.900329i	0.296525	−	0.0589825i	0.341111	+	0.940023i	$0.389197\pi$
$234$	−2.67907	−	2.67907i	−0.175136	−	0.175136i
$235$	−0.141549	−	0.509303i	−0.00923365	−	0.0332233i
$236$	−1.27146	+	3.06957i	−0.0827650	+	0.199812i
$237$	−0.0475156	+	0.0475156i	−0.00308647	+	0.00308647i
$238$	−6.96788	+	12.1058i	−0.451661	+	0.784702i
$239$		−	15.9839i		−	1.03391i	−0.856011	−	0.516957i	$-0.827065\pi$
$239$		−	15.9839i		−	1.03391i	0.856011	−	0.516957i	$-0.172935\pi$
$240$	1.00772	−	3.06177i	0.0650481	−	0.197636i
$241$	−9.99768	+	1.98866i	−0.644007	+	0.128101i	−0.506280	−	0.862369i	$-0.668980\pi$
$241$	−9.99768	+	1.98866i	−0.644007	+	0.128101i	−0.137727	+	0.990470i	$0.543980\pi$
$242$			4.92606i			0.316659i
$243$	−1.79485	−	9.02331i	−0.115140	−	0.578845i
$244$	−0.218302	+	1.09748i	−0.0139754	+	0.0702589i
$245$	−1.21434	+	9.93597i	−0.0775815	+	0.634786i
$246$	0.632650	+	1.52735i	0.0403363	+	0.0973804i
$247$	24.3408	+	10.0823i	1.54877	+	0.641521i
$248$	−2.05047	+	10.3084i	−0.130205	+	0.654584i
$249$	−1.39135	−	0.276757i	−0.0881732	−	0.0175387i
$250$	3.98916	−	10.4445i	0.252296	−	0.660565i
$251$	−11.9830	+	11.9830i	−0.756361	+	0.756361i	−0.975658	−	0.219297i	$-0.929623\pi$
$251$	−11.9830	+	11.9830i	−0.756361	+	0.756361i	0.219297	+	0.975658i	$0.429623\pi$
$252$	−1.73533	+	2.59711i	−0.109316	+	0.163603i
$253$	5.01444	+	12.1059i	0.315255	+	0.761094i
$254$	5.64486			0.354190
$255$	11.4385	−	6.76686i	0.716304	−	0.423757i
$256$	−1.00000			−0.0625000
$257$	−3.09272	−	7.46649i	−0.192919	−	0.465747i	0.797590	−	0.603200i	$-0.206108\pi$
$257$	−3.09272	−	7.46649i	−0.192919	−	0.465747i	−0.990508	+	0.137454i	$0.956108\pi$
$258$	3.70059	−	5.53833i	0.230389	−	0.344801i
$259$	15.1755	−	15.1755i	0.942957	−	0.942957i
$260$	4.52017	−	7.99981i	0.280329	−	0.496127i
$261$	8.03516	+	1.59829i	0.497364	+	0.0989318i
$262$	−2.29224	+	11.5239i	−0.141615	+	0.711948i
$263$	−1.84471	−	0.764104i	−0.113750	−	0.0471167i	0.325083	−	0.945686i	$-0.394608\pi$
$263$	−1.84471	−	0.764104i	−0.113750	−	0.0471167i	−0.438832	+	0.898569i	$0.644608\pi$
$264$	2.20148	+	5.31485i	0.135492	+	0.327106i
$265$	−1.26742	−	1.62036i	−0.0778573	−	0.0995379i
$266$	4.23741	−	21.3029i	0.259812	−	1.30617i
$267$	−2.66841	−	13.4150i	−0.163304	−	0.820986i
$268$		−	9.41108i		−	0.574873i
$269$	−19.6028	+	3.89924i	−1.19520	+	0.237741i	−0.752295	−	0.658826i	$-0.771053\pi$
$269$	−19.6028	+	3.89924i	−1.19520	+	0.237741i	−0.442908	+	0.896567i	$0.646053\pi$
$270$	11.2858	−	5.69645i	0.686835	−	0.346675i
$271$		−	4.71454i		−	0.286388i	−0.989695	−	0.143194i	$-0.954263\pi$
$271$		−	4.71454i		−	0.286388i	0.989695	−	0.143194i	$-0.0457373\pi$
$272$	−3.10352	−	2.71444i	−0.188179	−	0.164587i
$273$	14.1897	−	14.1897i	0.858799	−	0.858799i
$274$	3.62555	−	8.75284i	0.219027	−	0.528779i
$275$	6.76370	+	18.7724i	0.407867	+	1.13202i
$276$	3.34684	+	3.34684i	0.201456	+	0.201456i
$277$	−7.87611	+	1.56666i	−0.473229	+	0.0941312i	−0.425943	−	0.904750i	$-0.640057\pi$
$277$	−7.87611	+	1.56666i	−0.473229	+	0.0941312i	−0.0472868	+	0.998881i	$0.515057\pi$
$278$	−4.04502	+	2.70280i	−0.242604	+	0.162103i
$279$	−8.05752	+	5.38387i	−0.482391	+	0.322324i
$280$	−7.19543	−	2.36824i	−0.430009	−	0.141529i
$281$	−2.47998	+	1.02724i	−0.147943	+	0.0612800i	−0.455426	−	0.890273i	$-0.650513\pi$
$281$	−2.47998	+	1.02724i	−0.147943	+	0.0612800i	0.307483	+	0.951553i	$0.400513\pi$
$282$	0.334229	+	0.0664822i	0.0199030	+	0.00395896i
$283$	−8.01151	−	11.9901i	−0.476235	−	0.712736i	0.513111	−	0.858323i	$-0.328493\pi$
$283$	−8.01151	−	11.9901i	−0.476235	−	0.712736i	−0.989346	+	0.145586i	$0.953493\pi$
$284$	−3.46171	+	5.18081i	−0.205414	+	0.307424i
$285$	−13.4814	+	15.6637i	−0.798572	+	0.927837i
$286$	3.19927	+	16.0838i	0.189177	+	0.951055i
$287$	3.58942	−	1.48678i	0.211876	−	0.0877621i
$288$	−0.651963	−	0.651963i	−0.0384173	−	0.0384173i
$289$	−2.26367	−	16.8486i	−0.133157	−	0.991095i
$290$	1.48351	+	19.8131i	0.0871150	+	1.16347i
$291$	−9.29820	−	3.85144i	−0.545070	−	0.225775i
$292$	1.75446	+	1.17230i	0.102672	+	0.0686034i
$293$	−25.4534			−1.48700			−0.743502	−	0.668734i	$-0.766836\pi$
$293$	−25.4534			−1.48700			−0.743502	+	0.668734i	$0.766836\pi$
$294$	−5.36553	−	3.58513i	−0.312924	−	0.209089i
$295$	−4.57721	−	5.85181i	−0.266495	−	0.340705i
$296$	3.51957	+	5.26741i	0.204571	+	0.306162i
$297$	−8.63424	+	20.8449i	−0.501010	+	1.20954i
$298$	−0.462068	+	1.11553i	−0.0267669	+	0.0646209i
$299$	7.49598	+	11.2185i	0.433504	+	0.648784i
$300$	4.85212	+	5.32978i	0.280137	+	0.307715i
$301$	−13.0156	−	8.69674i	−0.750206	−	0.501272i
$302$	−7.18730			−0.413583
$303$	−0.329391	−	0.220092i	−0.0189230	−	0.0126439i
$304$	5.92345	+	2.45357i	0.339733	+	0.140722i
$305$	−1.89643	−	1.63222i	−0.108589	−	0.0934607i
$306$	−0.253668	−	3.79309i	−0.0145012	−	0.216837i
$307$	−20.6197	−	20.6197i	−1.17683	−	1.17683i	−0.980548	−	0.196278i	$-0.937114\pi$
$307$	−20.6197	−	20.6197i	−1.17683	−	1.17683i	−0.196278	−	0.980548i	$-0.562886\pi$
$308$	12.4904	−	5.17368i	0.711705	−	0.294798i
$309$	1.09828	+	5.52141i	0.0624788	+	0.314102i
$310$	−17.8128	−	15.3311i	−1.01170	−	0.870748i
$311$	4.37580	−	6.54884i	0.248129	−	0.371351i	−0.686409	−	0.727216i	$-0.740814\pi$
$311$	4.37580	−	6.54884i	0.248129	−	0.371351i	0.934537	+	0.355865i	$0.115814\pi$
$312$	3.29095	+	4.92525i	0.186313	+	0.278837i
$313$	−18.0953	−	3.59937i	−1.02280	−	0.203449i	−0.344932	−	0.938628i	$-0.612098\pi$
$313$	−18.0953	−	3.59937i	−1.02280	−	0.203449i	−0.677873	+	0.735179i	$0.737098\pi$
$314$	20.6887	−	8.56952i	1.16753	−	0.483606i
$315$	−3.14716	−	6.23516i	−0.177322	−	0.351312i
$316$	−0.0387593	+	0.0258982i	−0.00218038	+	0.00145689i
$317$	−11.3432	+	7.57932i	−0.637100	+	0.425697i	−0.831730	−	0.555180i	$-0.812649\pi$
$317$	−11.3432	+	7.57932i	−0.637100	+	0.425697i	0.194630	+	0.980877i	$0.437649\pi$
$318$	1.30071	−	0.258727i	0.0729400	−	0.0145087i
$319$	−25.0739	−	25.0739i	−1.40387	−	1.40387i
$320$	1.10000	−	1.94679i	0.0614921	−	0.108829i
$321$	−6.69546	+	16.1643i	−0.373704	+	0.902201i
$322$	7.86539	−	7.86539i	0.438321	−	0.438321i
$323$	11.7235	+	23.6935i	0.652311	+	1.31834i
$324$			5.38384i			0.299102i
$325$	10.6017	+	17.5996i	0.588079	+	0.976253i
$326$	2.72119	−	0.541279i	0.150713	−	0.0299787i
$327$			27.4749i			1.51936i
$328$	0.223737	+	1.12480i	0.0123538	+	0.0621068i
$329$	0.156239	−	0.785468i	0.00861375	−	0.0433042i
$330$	−12.7685	−	1.56053i	−0.702884	−	0.0859043i
$331$	4.14619	+	10.0098i	0.227895	+	0.550188i	0.995921	−	0.0902314i	$-0.0287607\pi$
$331$	4.14619	+	10.0098i	0.227895	+	0.550188i	−0.768026	+	0.640419i	$0.778761\pi$
$332$	−0.909194	−	0.376601i	−0.0498985	−	0.0206686i
$333$	−1.13953	+	5.72879i	−0.0624457	+	0.313936i
$334$	3.95736	+	0.787168i	0.216537	+	0.0430719i
$335$	18.3214	+	10.3522i	1.00101	+	0.565603i
$336$	3.45312	−	3.45312i	0.188383	−	0.188383i
$337$	13.8633	−	20.7479i	0.755182	−	1.13021i	−0.232325	−	0.972638i	$-0.574633\pi$
$337$	13.8633	−	20.7479i	0.755182	−	1.13021i	0.987507	−	0.157572i	$-0.0503666\pi$
$338$	1.48702	+	3.58999i	0.0808834	+	0.195270i
$339$	−9.00112			−0.488874
$340$	8.69832	−	3.05601i	0.471733	−	0.165735i
$341$	41.9441			2.27140
$342$	2.26223	+	5.46151i	0.122327	+	0.295324i
$343$	4.74938	−	7.10795i	0.256442	−	0.383793i
$344$	3.26736	−	3.26736i	0.176164	−	0.176164i
$345$	−10.1971	+	2.83406i	−0.548995	+	0.152581i
$346$	10.7454	+	2.13740i	0.577678	+	0.114907i
$347$	2.89578	−	14.5581i	0.155454	−	0.781519i	−0.821855	−	0.569697i	$-0.807060\pi$
$347$	2.89578	−	14.5581i	0.155454	−	0.781519i	0.977308	−	0.211821i	$-0.0679395\pi$
$348$	−11.8337	−	4.90166i	−0.634350	−	0.262756i
$349$	9.23718	+	22.3005i	0.494455	+	1.19372i	0.952431	+	0.304756i	$0.0985748\pi$
$349$	9.23718	+	22.3005i	0.494455	+	1.19372i	−0.457975	+	0.888965i	$0.651425\pi$
$350$	12.5255	−	11.4029i	0.669514	−	0.609512i
$351$	−4.53238	+	22.7858i	−0.241921	+	1.21622i
$352$	0.778556	+	3.91407i	0.0414972	+	0.208620i
$353$			28.6326i			1.52396i	0.647601	+	0.761979i	$0.275772\pi$
$353$			28.6326i			1.52396i	−0.647601	+	0.761979i	$0.724228\pi$
$354$	4.69740	−	0.934372i	0.249664	−	0.0496613i
$355$	−6.27806	−	12.4381i	−0.333205	−	0.660147i
$356$		−	9.48848i		−	0.502888i
$357$	20.0901	−	1.34355i	1.06328	−	0.0711084i
$358$	−3.22073	+	3.22073i	−0.170221	+	0.170221i
$359$	−0.934800	+	2.25681i	−0.0493369	+	0.119110i	−0.946626	−	0.322333i	$-0.895533\pi$
$359$	−0.934800	+	2.25681i	−0.0493369	+	0.119110i	0.897290	+	0.441442i	$0.145533\pi$
$360$	1.98640	−	0.552074i	0.104692	−	0.0290968i
$361$	−15.6322	−	15.6322i	−0.822746	−	0.822746i
$362$	−24.5858	+	4.89042i	−1.29220	+	0.257035i
$363$	5.90428	−	3.94512i	0.309895	−	0.207065i
$364$	11.5748	−	7.73402i	0.606684	−	0.405373i
$365$	−4.21213	+	2.12604i	−0.220473	+	0.111282i
$366$	1.49025	−	0.617282i	0.0778966	−	0.0322658i
$367$	−3.06918	−	0.610498i	−0.160210	−	0.0318677i	0.114334	−	0.993442i	$-0.463527\pi$
$367$	−3.06918	−	0.610498i	−0.160210	−	0.0318677i	−0.274543	+	0.961575i	$0.588527\pi$
$368$	1.82418	+	2.73008i	0.0950920	+	0.142315i
$369$	−0.587462	+	0.879198i	−0.0305820	+	0.0457692i
$370$	−14.1261	+	1.05769i	−0.734380	+	0.0549869i
$371$	−0.608031	−	3.05678i	−0.0315674	−	0.158700i
$372$	13.9976	−	5.79800i	0.725742	−	0.300612i
$373$	26.0461	+	26.0461i	1.34861	+	1.34861i	0.887168	+	0.461447i	$0.152669\pi$
$373$	26.0461	+	26.0461i	1.34861	+	1.34861i	0.461447	+	0.887168i	$0.347331\pi$
$374$	−8.20822	+	14.2607i	−0.424437	+	0.737404i
$375$	−15.7133	+	3.58329i	−0.811432	+	0.185040i
$376$	0.218406	+	0.0904666i	0.0112634	+	0.00466546i
$377$	−30.3591	−	20.2853i	−1.56357	−	1.04475i
$378$	19.1530			0.985123
$379$	12.5653	+	8.39587i	0.645437	+	0.431267i	0.834734	−	0.550653i	$-0.185621\pi$
$379$	12.5653	+	8.39587i	0.645437	+	0.431267i	−0.189298	+	0.981920i	$0.560621\pi$
$380$	−11.2924	+	8.83277i	−0.579288	+	0.453111i
$381$	−4.52078	−	6.76583i	−0.231607	−	0.346624i
$382$	7.78586	−	18.7967i	0.398360	−	0.961725i
$383$	5.12969	−	12.3842i	0.262115	−	0.632802i	−0.736954	−	0.675943i	$-0.763737\pi$
$383$	5.12969	−	12.3842i	0.262115	−	0.632802i	0.999069	+	0.0431413i	$0.0137366\pi$
$384$	0.800867	+	1.19858i	0.0408690	+	0.0611649i
$385$	−3.66739	+	30.0072i	−0.186907	+	1.52931i
$386$	−0.682377	−	0.455950i	−0.0347321	−	0.0232072i
$387$	4.26039			0.216568
$388$	−5.80509	−	3.87883i	−0.294709	−	0.196918i
$389$	−26.7298	−	11.0719i	−1.35526	−	0.561366i	−0.417506	−	0.908674i	$-0.637096\pi$
$389$	−26.7298	−	11.0719i	−1.35526	−	0.561366i	−0.937751	+	0.347308i	$0.887096\pi$
$390$	−13.2085	+	0.988988i	−0.668837	+	0.0500794i
$391$	−1.74925	+	13.4245i	−0.0884632	+	0.678905i
$392$	−3.16541	−	3.16541i	−0.159877	−	0.159877i
$393$	15.6481	−	6.48165i	0.789342	−	0.326956i
$394$	4.87199	+	24.4932i	0.245448	+	1.23395i
$395$	−0.00778287	−	0.103944i	−0.000391598	−	0.00523001i
$396$	−2.04424	+	3.05942i	−0.102727	+	0.153741i
$397$	−4.30718	−	6.44614i	−0.216171	−	0.323523i	0.707497	−	0.706716i	$-0.249824\pi$
$397$	−4.30718	−	6.44614i	−0.216171	−	0.323523i	−0.923668	+	0.383194i	$0.874824\pi$
$398$	16.5626	+	3.29450i	0.830207	+	0.165139i
$399$	−28.9269	+	11.9819i	−1.44816	+	0.599845i
$400$	2.57998	+	4.28295i	0.128999	+	0.214148i
$401$	−18.0601	+	12.0674i	−0.901881	+	0.602618i	−0.917707	−	0.397257i	$-0.869962\pi$
$401$	−18.0601	+	12.0674i	−0.901881	+	0.602618i	0.0158265	+	0.999875i	$0.494962\pi$
$402$	−11.2799	+	7.53702i	−0.562593	+	0.375912i
$403$	42.3596	−	8.42584i	2.11008	−	0.419721i
$404$	−0.194325	−	0.194325i	−0.00966803	−	0.00966803i
$405$	−10.4812	−	5.92225i	−0.520816	−	0.294279i
$406$	−11.5193	+	27.8102i	−0.571696	+	1.38020i
$407$	17.8768	−	17.8768i	0.886120	−	0.886120i
$408$	−0.767968	+	5.89372i	−0.0380201	+	0.291783i
$409$			23.8104i			1.17735i	0.808371	+	0.588673i	$0.200350\pi$
$409$			23.8104i			1.17735i	−0.808371	+	0.588673i	$0.799650\pi$
$410$	−2.43587	−	0.801718i	−0.120299	−	0.0395940i
$411$	−13.3946	+	2.66435i	−0.660706	+	0.131423i
$412$			3.90531i			0.192401i
$413$	−2.19586	−	11.0393i	−0.108051	−	0.543210i
$414$	−0.590613	+	2.96921i	−0.0290270	+	0.145929i
$415$	1.73328	−	1.35575i	0.0850833	−	0.0665511i
$416$	1.57253	+	3.79643i	0.0770999	+	0.186136i
$417$	6.47905	+	2.68371i	0.317280	+	0.131422i
$418$	4.99171	−	25.0950i	0.244152	−	1.22744i
$419$	−26.4209	−	5.25544i	−1.29074	−	0.256745i	−0.498468	−	0.866908i	$-0.666104\pi$
$419$	−26.4209	−	5.25544i	−1.29074	−	0.256745i	−0.792276	+	0.610163i	$0.791104\pi$
$420$	2.92406	+	10.5210i	0.142679	+	0.513370i
$421$	5.64041	−	5.64041i	0.274897	−	0.274897i	−0.556171	−	0.831068i	$-0.687730\pi$
$421$	5.64041	−	5.64041i	0.274897	−	0.274897i	0.831068	+	0.556171i	$0.187730\pi$
$422$	11.6479	−	17.4323i	0.567011	−	0.848592i
$423$	0.0834116	+	0.201373i	0.00405561	+	0.00979111i
$424$	0.919993			0.0446788
$425$	−3.61877	+	20.2954i	−0.175536	+	0.984473i
$426$	8.98199			0.435179
$427$	−1.45067	−	3.50222i	−0.0702028	−	0.169484i
$428$	−6.74308	+	10.0917i	−0.325939	+	0.487802i
$429$	16.7156	−	16.7156i	0.807035	−	0.807035i
$430$	2.76675	+	9.95496i	0.133425	+	0.480071i
$431$	15.3057	+	3.04448i	0.737247	+	0.146648i	0.549410	−	0.835553i	$-0.314852\pi$
$431$	15.3057	+	3.04448i	0.737247	+	0.146648i	0.187837	+	0.982200i	$0.439852\pi$
$432$	−1.10298	+	5.54504i	−0.0530670	+	0.266786i
$433$	19.6145	+	8.12458i	0.942612	+	0.390443i	0.800449	−	0.599401i	$-0.204594\pi$
$433$	19.6145	+	8.12458i	0.942612	+	0.390443i	0.142163	+	0.989843i	$0.454594\pi$
$434$	−13.6258	−	32.8956i	−0.654060	−	1.57904i
$435$	22.5596	−	17.6458i	1.08165	−	0.846051i
$436$	−3.71835	+	18.6934i	−0.178077	+	0.895252i
$437$	−4.10699	−	20.6472i	−0.196464	−	0.987691i
$438$		−	3.04172i		−	0.145339i
$439$	6.00338	−	1.19415i	0.286526	−	0.0569935i	−0.0497351	−	0.998762i	$-0.515838\pi$
$439$	6.00338	−	1.19415i	0.286526	−	0.0569935i	0.336261	+	0.941769i	$0.390838\pi$
$440$	−8.47628	−	2.78980i	−0.404091	−	0.132999i
$441$		−	4.12746i		−	0.196546i
$442$	−5.42479	+	16.0509i	−0.258031	+	0.763461i
$443$	9.63227	−	9.63227i	0.457643	−	0.457643i	−0.440238	−	0.897881i	$-0.645106\pi$
$443$	9.63227	−	9.63227i	0.457643	−	0.457643i	0.897881	+	0.440238i	$0.145106\pi$
$444$	3.49471	−	8.43698i	0.165852	−	0.400402i
$445$	18.4721	+	10.4374i	0.875660	+	0.494778i
$446$	−2.04014	−	2.04014i	−0.0966035	−	0.0966035i
$447$	1.70711	−	0.339565i	0.0807434	−	0.0160609i
$448$	2.81678	−	1.88211i	0.133080	−	0.0889213i
$449$	14.9345	−	9.97891i	0.704803	−	0.470934i	−0.150802	−	0.988564i	$-0.548186\pi$
$449$	14.9345	−	9.97891i	0.704803	−	0.470934i	0.855605	+	0.517630i	$0.173186\pi$
$450$	−1.11027	+	4.47438i	−0.0523388	+	0.210924i
$451$	4.22836	−	1.75144i	0.199106	−	0.0824723i
$452$	−6.12420	−	1.21818i	−0.288058	−	0.0572983i
$453$	5.75607	+	8.61456i	0.270444	+	0.404747i
$454$	−2.73280	+	4.08992i	−0.128257	+	0.191950i
$455$	2.32421	+	31.0411i	0.108961	+	1.45523i
$456$	−1.80308	−	9.06472i	−0.0844371	−	0.424494i
$457$	−13.0394	+	5.40111i	−0.609959	+	0.252653i	−0.666211	−	0.745763i	$-0.732085\pi$
$457$	−13.0394	+	5.40111i	−0.609959	+	0.252653i	0.0562522	+	0.998417i	$0.482085\pi$
$458$	−9.91817	−	9.91817i	−0.463445	−	0.463445i
$459$	−18.4748	+	14.2152i	−0.862328	+	0.663507i
$460$	−7.32150	+	0.548199i	−0.341367	+	0.0255599i
$461$	−0.0278421	−	0.0115326i	−0.00129673	−	0.000537125i	0.382035	−	0.924148i	$-0.375223\pi$
$461$	−0.0278421	−	0.0115326i	−0.00129673	−	0.000537125i	−0.383332	+	0.923611i	$0.625223\pi$
$462$	−16.2042	−	10.8273i	−0.753888	−	0.503732i
$463$	−1.59180			−0.0739771			−0.0369885	−	0.999316i	$-0.511777\pi$
$463$	−1.59180			−0.0739771			−0.0369885	+	0.999316i	$0.511777\pi$
$464$	−7.38803	−	4.93652i	−0.342981	−	0.229172i
$465$	−4.10993	+	33.6282i	−0.190594	+	1.55947i
$466$	−2.56392	−	3.83718i	−0.118771	−	0.177754i
$467$	3.06786	−	7.40647i	0.141964	−	0.342730i	−0.836866	−	0.547408i	$-0.815615\pi$
$467$	3.06786	−	7.40647i	0.141964	−	0.342730i	0.978829	+	0.204678i	$0.0656146\pi$
$468$	−1.44990	+	3.50037i	−0.0670217	+	0.161805i
$469$	17.7127	+	26.5089i	0.817896	+	1.22407i
$470$	−0.416366	+	0.325676i	−0.0192056	+	0.0150223i
$471$	−26.8401	−	17.9340i	−1.23673	−	0.826355i
$472$	3.32248			0.152930
$473$	−15.3325	−	10.2448i	−0.704987	−	0.471058i
$474$	0.0620821	+	0.0257153i	0.00285153	+	0.00118114i
$475$	−4.77386	−	31.7000i	−0.219040	−	1.45450i
$476$	13.8508	+	1.80480i	0.634850	+	0.0827227i
$477$	0.599801	+	0.599801i	0.0274630	+	0.0274630i
$478$	−14.7672	+	6.11678i	−0.675437	+	0.279775i
$479$	4.90199	+	24.6439i	0.223977	+	1.12601i	0.915086	+	0.403259i	$0.132123\pi$
$479$	4.90199	+	24.6439i	0.223977	+	1.12601i	−0.691108	+	0.722751i	$0.742877\pi$
$480$	−3.21434	+	0.240675i	−0.146714	+	0.0109853i
$481$	14.4627	−	21.6450i	0.659444	−	0.986927i
$482$	5.66323	+	8.47562i	0.257953	+	0.386054i
$483$	−15.7264	−	3.12818i	−0.715577	−	0.142337i
$484$	4.55109	−	1.88512i	0.206868	−	0.0856873i
$485$	13.9369	−	7.03455i	0.632842	−	0.319422i
$486$	−7.64959	+	5.11129i	−0.346993	+	0.231853i
$487$	24.8229	−	16.5862i	1.12483	−	0.751591i	0.153228	−	0.988191i	$-0.451033\pi$
$487$	24.8229	−	16.5862i	1.12483	−	0.751591i	0.971607	+	0.236600i	$0.0760332\pi$
$488$	1.09748	−	0.218302i	0.0496806	−	0.00988208i
$489$	−2.82808	−	2.82808i	−0.127890	−	0.127890i
$490$	9.64435	−	2.68043i	0.435687	−	0.121089i
$491$	4.99913	−	12.0690i	0.225608	−	0.544665i	−0.770026	−	0.638013i	$-0.779757\pi$
$491$	4.99913	−	12.0690i	0.225608	−	0.544665i	0.995634	+	0.0933475i	$0.0297568\pi$
$492$	1.16898	−	1.16898i	0.0527019	−	0.0527019i
$493$	−9.52902	−	35.3749i	−0.429165	−	1.59321i
$494$		−	26.3463i		−	1.18538i
$495$	−3.70737	−	7.34507i	−0.166634	−	0.330136i
$496$	10.3084	−	2.05047i	0.462861	−	0.0920687i
$497$		−	21.1085i		−	0.946845i
$498$	0.276757	+	1.39135i	0.0124018	+	0.0623479i
$499$	−0.263630	+	1.32536i	−0.0118017	+	0.0593312i	−0.986237	−	0.165335i	$-0.947129\pi$
$499$	−0.263630	+	1.32536i	−0.0118017	+	0.0593312i	0.974436	+	0.224667i	$0.0721293\pi$
$500$	−11.1760	+	0.311421i	−0.499806	+	0.0139272i
$501$	−2.22583	−	5.37364i	−0.0994429	−	0.240076i
$502$	15.6566	+	6.48516i	0.698786	+	0.289447i
$503$	2.25111	−	11.3171i	0.100372	−	0.504604i	−0.897592	−	0.440827i	$-0.854685\pi$
$503$	2.25111	−	11.3171i	0.100372	−	0.504604i	0.997964	−	0.0637774i	$-0.0203148\pi$
$504$	3.06350	+	0.609368i	0.136459	+	0.0271434i
$505$	0.592068	−	0.164552i	0.0263467	−	0.00732246i
$506$	9.26549	−	9.26549i	0.411901	−	0.411901i
$507$	3.11199	−	4.65743i	0.138208	−	0.206844i
$508$	−2.16020	−	5.21517i	−0.0958432	−	0.231386i
$509$	14.1673			0.627955			0.313978	−	0.949430i	$-0.398338\pi$
$509$	14.1673			0.627955			0.313978	+	0.949430i	$0.398338\pi$
$510$	−10.6291	−	7.97819i	−0.470663	−	0.353280i
$511$	−7.14832			−0.316223
$512$	0.382683	+	0.923880i	0.0169124	+	0.0408301i
$513$	20.1386	−	30.1395i	0.889139	−	1.33069i
$514$	−5.71460	+	5.71460i	−0.252060	+	0.252060i
$515$	−7.60281	−	4.29585i	−0.335020	−	0.189298i
$516$	−6.53291	−	1.29948i	−0.287595	−	0.0572062i
$517$	0.184051	−	0.925287i	0.00809456	−	0.0406941i
$518$	−19.8277	−	8.21290i	−0.871179	−	0.360854i
$519$	−6.04381	−	14.5910i	−0.265294	−	0.640476i
$520$	−9.12066	−	1.11470i	−0.399967	−	0.0488827i
$521$	4.56636	−	22.9566i	0.200056	−	1.00575i	−0.742028	−	0.670369i	$-0.766136\pi$
$521$	4.56636	−	22.9566i	0.200056	−	1.00575i	0.942083	−	0.335379i	$-0.108864\pi$
$522$	−1.59829	−	8.03516i	−0.0699553	−	0.351689i
$523$			9.20697i			0.402593i	0.979530	+	0.201296i	$0.0645154\pi$
$523$			9.20697i			0.402593i	−0.979530	+	0.201296i	$0.935485\pi$
$524$	11.5239	−	2.29224i	0.503423	−	0.100137i
$525$	−23.6986	−	5.88057i	−1.03429	−	0.256649i
$526$			1.99670i			0.0870602i
$527$	37.5582	+	21.6178i	1.63606	+	0.941687i
$528$	4.06781	−	4.06781i	0.177029	−	0.177029i
$529$	−4.67602	+	11.2889i	−0.203305	+	0.490822i
$530$	−1.01200	+	1.79103i	−0.0439583	+	0.0777975i
$531$	2.16614	+	2.16614i	0.0940023	+	0.0940023i
$532$	−21.3029	+	4.23741i	−0.923598	+	0.183715i
$533$	3.91841	−	2.61819i	0.169725	−	0.113407i
$534$	−11.3727	+	7.59900i	−0.492145	+	0.328841i
$535$	−12.2291	−	24.2283i	−0.528709	−	1.04748i
$536$	−8.69471	+	3.60147i	−0.375554	+	0.155560i
$537$	6.43968	+	1.28093i	0.277893	+	0.0552763i
$538$	11.1041	+	16.6184i	0.478731	+	0.716472i
$539$	−9.92517	+	14.8541i	−0.427507	+	0.639810i
$540$	−9.58174	−	8.24682i	−0.412333	−	0.354887i
$541$	−2.15895	−	10.8538i	−0.0928205	−	0.466640i	−0.999039	−	0.0438305i	$-0.986044\pi$
$541$	−2.15895	−	10.8538i	−0.0928205	−	0.466640i	0.906218	−	0.422810i	$-0.138956\pi$
$542$	−4.35567	+	1.80418i	−0.187092	+	0.0774961i
$543$	25.5515	+	25.5515i	1.09652	+	1.09652i
$544$	−1.32015	+	3.90605i	−0.0566008	+	0.167470i
$545$	−32.3019	−	27.8017i	−1.38366	−	1.19089i
$546$	−18.5397	−	7.67940i	−0.793427	−	0.328648i
$547$	−19.3029	−	12.8978i	−0.825334	−	0.551471i	0.0696486	−	0.997572i	$-0.477812\pi$
$547$	−19.3029	−	12.8978i	−0.825334	−	0.551471i	−0.894983	+	0.446101i	$0.852812\pi$
$548$	−9.47401			−0.404710
$549$	0.857841	+	0.573191i	0.0366118	+	0.0244632i
$550$	14.7551	−	13.4327i	0.629159	−	0.572774i
$551$	31.6505	+	47.3683i	1.34836	+	2.01796i
$552$	1.81130	−	4.37286i	0.0770940	−	0.186121i
$553$	0.0604332	−	0.145899i	0.00256988	−	0.00620424i
$554$	4.46146	+	6.67704i	0.189549	+	0.283680i
$555$	12.5808	+	16.0842i	0.534027	+	0.682736i
$556$	4.04502	+	2.70280i	0.171547	+	0.114624i
$557$	−2.59243			−0.109845			−0.0549225	−	0.998491i	$-0.517491\pi$
$557$	−2.59243			−0.109845			−0.0549225	+	0.998491i	$0.517491\pi$
$558$	8.05752	+	5.38387i	0.341102	+	0.227917i
$559$	−17.5423	−	7.26627i	−0.741962	−	0.307331i
$560$	0.565608	+	7.55400i	0.0239013	+	0.319215i
$561$	23.6663	−	1.58272i	0.999193	−	0.0668223i
$562$	1.89809	+	1.89809i	0.0800662	+	0.0800662i
$563$	−37.4793	+	15.5244i	−1.57957	+	0.654277i	−0.988345	−	0.152232i	$-0.951354\pi$
$563$	−37.4793	+	15.5244i	−1.57957	+	0.654277i	−0.591221	+	0.806510i	$0.701354\pi$
$564$	−0.0664822	−	0.334229i	−0.00279941	−	0.0140736i
$565$	9.10818	−	10.5825i	0.383184	−	0.445210i
$566$	−8.01151	+	11.9901i	−0.336749	+	0.503981i
$567$	−10.1330	−	15.1651i	−0.425545	−	0.636873i
$568$	6.11118	+	1.21559i	0.256419	+	0.0510050i
$569$	−7.73559	+	3.20419i	−0.324293	+	0.134326i	−0.538890	−	0.842376i	$-0.681156\pi$
$569$	−7.73559	+	3.20419i	−0.324293	+	0.134326i	0.214597	+	0.976703i	$0.431156\pi$
$570$	19.6305	+	6.46100i	0.822231	+	0.270621i
$571$	−21.0371	+	14.0565i	−0.880375	+	0.588248i	−0.911515	−	0.411267i	$-0.865086\pi$
$571$	−21.0371	+	14.0565i	−0.880375	+	0.588248i	0.0311396	+	0.999515i	$0.490086\pi$
$572$	13.6352	−	9.11074i	0.570116	−	0.380939i
$573$	−28.7649	+	5.72169i	−1.20167	+	0.239027i
$574$	−2.74722	−	2.74722i	−0.114667	−	0.114667i
$575$	6.98645	−	14.8564i	0.291355	−	0.619557i
$576$	−0.352840	+	0.851831i	−0.0147017	+	0.0354930i
$577$	−18.6006	+	18.6006i	−0.774352	+	0.774352i	−0.978864	−	0.204512i	$-0.934439\pi$
$577$	−18.6006	+	18.6006i	−0.774352	+	0.774352i	0.204512	+	0.978864i	$0.434439\pi$
$578$	−14.6998	+	8.53904i	−0.611432	+	0.355177i
$579$			1.18304i			0.0491654i
$580$	17.7372	−	8.95275i	0.736499	−	0.371743i
$581$	3.26980	−	0.650404i	0.135654	−	0.0269833i
$582$			10.0643i			0.417179i
$583$	−0.716266	−	3.60091i	−0.0296647	−	0.149135i
$584$	0.411656	−	2.06953i	0.0170344	−	0.0856378i
$585$	−5.21959	−	6.67307i	−0.215804	−	0.275898i
$586$	9.74059	+	23.5159i	0.402380	+	0.971432i
$587$	38.6479	+	16.0085i	1.59517	+	0.660740i	0.990722	−	0.135906i	$-0.0433944\pi$
$587$	38.6479	+	16.0085i	1.59517	+	0.660740i	0.604446	+	0.796646i	$0.293394\pi$
$588$	−1.25893	+	6.32907i	−0.0519174	+	0.261007i
$589$	−66.0922	−	13.1466i	−2.72328	−	0.541694i
$590$	−3.65474	+	6.46818i	−0.150463	+	0.266291i
$591$	25.4552	−	25.4552i	1.04709	−	1.04709i
$592$	3.51957	−	5.26741i	0.144653	−	0.216489i
$593$	9.93672	+	23.9894i	0.408052	+	0.985125i	0.985650	+	0.168804i	$0.0539904\pi$
$593$	9.93672	+	23.9894i	0.408052	+	0.985125i	−0.577597	+	0.816322i	$0.696010\pi$
$594$	22.5624			0.925745
$595$	−18.7495	+	24.9793i	−0.768654	+	1.02405i
$596$	1.20744			0.0494587
$597$	−9.31569	−	22.4901i	−0.381266	−	0.920457i
$598$	7.49598	−	11.2185i	0.306534	−	0.458760i
$599$	26.4954	−	26.4954i	1.08257	−	1.08257i	0.0863049	−	0.996269i	$-0.472494\pi$
$599$	26.4954	−	26.4954i	1.08257	−	1.08257i	0.996269	−	0.0863049i	$-0.0275059\pi$
$600$	3.06725	−	6.52239i	0.125220	−	0.266276i
$601$	40.1212	+	7.98061i	1.63658	+	0.325536i	0.925839	−	0.377919i	$-0.123360\pi$
$601$	40.1212	+	7.98061i	1.63658	+	0.325536i	0.710740	+	0.703455i	$0.248360\pi$
$602$	−3.05389	+	15.3529i	−0.124467	+	0.625739i
$603$	−8.01665	−	3.32061i	−0.326463	−	0.135226i
$604$	2.75046	+	6.64020i	0.111915	+	0.270186i
$605$	−1.33628	+	10.9336i	−0.0543273	+	0.444516i
$606$	−0.0772859	+	0.388543i	−0.00313953	+	0.0157835i
$607$	2.64843	+	13.3146i	0.107497	+	0.540422i	0.996577	+	0.0826705i	$0.0263449\pi$
$607$	2.64843	+	13.3146i	0.107497	+	0.540422i	−0.889080	+	0.457751i	$0.848655\pi$
$608$		−	6.41149i		−	0.260020i
$609$	42.5582	−	8.46535i	1.72455	−	0.343033i
$610$	−0.782243	+	2.37670i	−0.0316721	+	0.0962296i
$611$		−	0.971424i		−	0.0392996i
$612$	−3.40729	+	1.68591i	−0.137731	+	0.0681490i
$613$	−21.4097	+	21.4097i	−0.864728	+	0.864728i	−0.991883	−	0.127154i	$-0.959416\pi$
$613$	−21.4097	+	21.4097i	−0.864728	+	0.864728i	0.127154	+	0.991883i	$0.459416\pi$
$614$	−11.1593	+	26.9409i	−0.450352	+	1.08725i
$615$	0.989880	+	3.56165i	0.0399158	+	0.143620i
$616$	−9.55972	−	9.55972i	−0.385172	−	0.385172i
$617$	−33.1615	+	6.59622i	−1.33503	+	0.265554i	−0.810450	−	0.585807i	$-0.800777\pi$
$617$	−33.1615	+	6.59622i	−1.33503	+	0.265554i	−0.524580	+	0.851361i	$0.675777\pi$
$618$	4.68083	−	3.12763i	0.188291	−	0.125812i
$619$	13.5554	−	9.05744i	0.544838	−	0.364049i	−0.252486	−	0.967601i	$-0.581248\pi$
$619$	13.5554	−	9.05744i	0.544838	−	0.364049i	0.797324	+	0.603551i	$0.206248\pi$
$620$	−7.34744	+	22.3238i	−0.295080	+	0.896545i
$621$	17.1504	−	7.10394i	0.688223	−	0.285071i
$622$	−7.72489	−	1.53658i	−0.309740	−	0.0616111i
$623$	17.8584	+	26.7269i	0.715480	+	1.07079i
$624$	3.29095	−	4.92525i	0.131743	−	0.197168i
$625$	11.6874	−	22.0999i	0.467495	−	0.883996i
$626$	3.59937	+	18.0953i	0.143860	+	0.723232i
$627$	−34.0761	+	14.1148i	−1.36087	+	0.563690i
$628$	−15.8344	−	15.8344i	−0.631862	−	0.631862i
$629$	25.2211	−	6.79386i	1.00563	−	0.270889i
$630$	−4.55617	+	5.29369i	−0.181522	+	0.210905i
$631$	−37.9013	−	15.6992i	−1.50883	−	0.624976i	−0.533510	−	0.845794i	$-0.679127\pi$
$631$	−37.9013	−	15.6992i	−1.50883	−	0.624976i	−0.975315	+	0.220818i	$0.929127\pi$
$632$	0.0387593	+	0.0258982i	0.00154176	+	0.00103017i
$633$	−30.2225			−1.20124
$634$	11.3432	+	7.57932i	0.450498	+	0.301013i
$635$	12.5291	+	1.53126i	0.497201	+	0.0607663i
$636$	−0.736791	−	1.10269i	−0.0292157	−	0.0437243i
$637$	−7.03955	+	16.9950i	−0.278917	+	0.673366i
$638$	−13.5699	+	32.7606i	−0.537237	+	1.29700i
$639$	3.19175	+	4.77679i	0.126264	+	0.188967i
$640$	−2.21955	−	0.271267i	−0.0877355	−	0.0107228i
$641$	27.6769	+	18.4931i	1.09317	+	0.730433i	0.965244	−	0.261351i	$-0.0841679\pi$
$641$	27.6769	+	18.4931i	1.09317	+	0.730433i	0.127926	+	0.991784i	$0.459168\pi$
$642$	17.4961			0.690515
$643$	25.9387	+	17.3317i	1.02292	+	0.683495i	0.949487	−	0.313805i	$-0.101604\pi$
$643$	25.9387	+	17.3317i	1.02292	+	0.683495i	0.0734351	+	0.997300i	$0.476604\pi$
$644$	−10.2766	−	4.25672i	−0.404956	−	0.167738i
$645$	9.71603	−	11.2888i	0.382568	−	0.444495i
$646$	17.4036	−	19.8982i	0.684735	−	0.782884i
$647$	−12.0824	−	12.0824i	−0.475009	−	0.475009i	0.428522	−	0.903531i	$-0.359034\pi$
$647$	−12.0824	−	12.0824i	−0.475009	−	0.475009i	−0.903531	+	0.428522i	$0.859034\pi$
$648$	4.97402	−	2.06031i	0.195398	−	0.0809365i
$649$	−2.58674	−	13.0044i	−0.101538	−	0.510468i
$650$	12.2028	−	16.5298i	0.478635	−	0.648353i
$651$	−28.5156	+	42.6767i	−1.11762	+	1.67263i
$652$	−1.54143	−	2.30691i	−0.0603671	−	0.0903458i
$653$	25.3244	+	5.03733i	0.991019	+	0.197126i	0.663871	−	0.747847i	$-0.268912\pi$
$653$	25.3244	+	5.03733i	0.991019	+	0.197126i	0.327148	+	0.944973i	$0.393912\pi$
$654$	25.3835	−	10.5142i	0.992572	−	0.411137i
$655$	−8.21380	+	24.9561i	−0.320940	+	0.975114i
$656$	0.953562	−	0.637150i	0.0372303	−	0.0248765i
$657$	1.61764	−	1.08087i	0.0631103	−	0.0421689i
$658$	−0.785468	+	0.156239i	−0.0306207	+	0.00609084i
$659$	14.3607	+	14.3607i	0.559413	+	0.559413i	0.929140	−	0.369727i	$-0.120549\pi$
$659$	14.3607	+	14.3607i	0.559413	+	0.559413i	−0.369727	+	0.929140i	$0.620549\pi$
$660$	3.44456	+	12.3938i	0.134079	+	0.482427i
$661$	−15.4896	+	37.3951i	−0.602474	+	1.45450i	0.268553	+	0.963265i	$0.413455\pi$
$661$	−15.4896	+	37.3951i	−0.602474	+	1.45450i	−0.871027	+	0.491236i	$0.836545\pi$
$662$	7.66116	−	7.66116i	0.297759	−	0.297759i
$663$	23.5828	−	6.35254i	0.915880	−	0.246712i
$664$			0.984105i			0.0381907i
$665$	15.1839	−	46.1335i	0.588808	−	1.78898i
$666$	5.72879	−	1.13953i	0.221986	−	0.0441558i
$667$			29.1750i			1.12966i
$668$	−0.787168	−	3.95736i	−0.0304564	−	0.153115i
$669$	−0.811395	+	4.07916i	−0.0313703	+	0.157709i
$670$	2.55291	−	20.8884i	0.0986277	−	0.806989i
$671$	−1.70890	−	4.12565i	−0.0659713	−	0.159269i
$672$	−4.51172	−	1.86882i	−0.174044	−	0.0720912i
$673$	4.85972	−	24.4315i	0.187328	−	0.941763i	−0.766691	−	0.642017i	$-0.778098\pi$
$673$	4.85972	−	24.4315i	0.187328	−	0.941763i	0.954019	−	0.299746i	$-0.0969021\pi$
$674$	−24.4738	−	4.86815i	−0.942696	−	0.187514i
$675$	26.5948	−	9.58210i	1.02363	−	0.368815i
$676$	2.74766	−	2.74766i	0.105679	−	0.105679i
$677$	−10.2644	+	15.3618i	−0.394493	+	0.590400i	−0.974549	−	0.224176i	$-0.928031\pi$
$677$	−10.2644	+	15.3618i	−0.394493	+	0.590400i	0.580056	+	0.814577i	$0.303031\pi$
$678$	3.44458	+	8.31595i	0.132288	+	0.319372i
$679$	23.6520			0.907681
$680$	−6.15209	−	6.86672i	−0.235922	−	0.263327i
$681$	7.09071			0.271717
$682$	−16.0513	−	38.7513i	−0.614637	−	1.48387i
$683$	−18.7472	+	28.0572i	−0.717342	+	1.07358i	0.276309	+	0.961069i	$0.410889\pi$
$683$	−18.7472	+	28.0572i	−0.717342	+	1.07358i	−0.993651	+	0.112509i	$0.964111\pi$
$684$	4.18006	−	4.18006i	0.159828	−	0.159828i
$685$	10.4214	−	18.4439i	0.398183	−	0.704705i
$686$	−8.38440	−	1.66776i	−0.320118	−	0.0636754i
$687$	−3.94460	+	19.8309i	−0.150496	+	0.756594i
$688$	−4.26901	−	1.76828i	−0.162754	−	0.0674150i
$689$	−1.44672	−	3.49269i	−0.0551157	−	0.133061i
$690$	6.52061	+	8.33638i	0.248235	+	0.317361i
$691$	0.992781	−	4.99105i	0.0377672	−	0.189868i	−0.957296	−	0.289108i	$-0.906641\pi$
$691$	0.992781	−	4.99105i	0.0377672	−	0.189868i	0.995064	+	0.0992401i	$0.0316412\pi$
$692$	−2.13740	−	10.7454i	−0.0812517	−	0.408480i
$693$		−	12.4652i		−	0.473513i
$694$	−14.5581	+	2.89578i	−0.552617	+	0.109922i
$695$	−9.71132	+	4.90172i	−0.368371	+	0.185933i
$696$			12.8087i			0.485511i
$697$	4.68890	+	0.610976i	0.177605	+	0.0231424i
$698$	17.0681	−	17.0681i	0.646037	−	0.646037i
$699$	−2.54581	+	6.14614i	−0.0962915	+	0.232468i
$700$	−15.3282	−	7.20831i	−0.579352	−	0.272448i
$701$	4.66511	+	4.66511i	0.176199	+	0.176199i	0.789696	−	0.613498i	$-0.210238\pi$
$701$	4.66511	+	4.66511i	0.176199	+	0.176199i	−0.613498	+	0.789696i	$0.710238\pi$
$702$	22.7858	−	4.53238i	0.859996	−	0.171064i
$703$	−33.7720	+	22.5657i	−1.27373	+	0.851081i
$704$	3.31818	−	2.21714i	0.125059	−	0.0835616i
$705$	0.723803	+	0.238226i	0.0272600	+	0.00897210i
$706$	26.4531	−	10.9572i	0.995574	−	0.412380i
$707$	0.913111	+	0.181629i	0.0343411	+	0.00683086i
$708$	−2.66087	−	3.98227i	−0.100001	−	0.149663i
$709$	−6.35644	+	9.51308i	−0.238721	+	0.357271i	−0.931414	−	0.363961i	$-0.881424\pi$
$709$	−6.35644	+	9.51308i	−0.238721	+	0.357271i	0.692693	+	0.721233i	$0.256424\pi$
$710$	−9.08882	+	10.5600i	−0.341097	+	0.396311i
$711$	0.00838502	+	0.0421543i	0.000314463	+	0.00158091i
$712$	−8.76621	+	3.63108i	−0.328528	+	0.136081i
$713$	−24.4023	−	24.4023i	−0.913874	−	0.913874i
$714$	−8.92944	−	18.0467i	−0.334176	−	0.675381i
$715$	2.73794	+	36.5667i	0.102393	+	1.36752i
$716$	4.20808	+	1.74304i	0.157263	+	0.0651406i
$717$	19.1580	+	12.8010i	0.715470	+	0.478062i
$718$	2.44275			0.0911626
$719$	−2.07623	−	1.38730i	−0.0774305	−	0.0517374i	0.516252	−	0.856436i	$-0.327327\pi$
$719$	−2.07623	−	1.38730i	−0.0774305	−	0.0517374i	−0.593683	+	0.804699i	$0.702327\pi$
$720$	−1.27021	−	1.62392i	−0.0473380	−	0.0605200i
$721$	−7.35022	−	11.0004i	−0.273736	−	0.409675i
$722$	−8.46007	+	20.4244i	−0.314851	+	0.760118i
$723$	5.62323	−	13.5757i	0.209130	−	0.504885i
$724$	13.9267	+	20.8428i	0.517583	+	0.774617i
$725$	−2.08191	+	44.3787i	−0.0773201	+	1.64818i
$726$	−5.90428	−	3.94512i	−0.219129	−	0.146417i
$727$	−3.46425			−0.128482			−0.0642410	−	0.997934i	$-0.520463\pi$
$727$	−3.46425			−0.128482			−0.0642410	+	0.997934i	$0.520463\pi$
$728$	−11.5748	−	7.73402i	−0.428990	−	0.286642i
$729$	27.1747	+	11.2561i	1.00647	+	0.416893i
$730$	3.57612	+	3.07790i	0.132358	+	0.113918i
$731$	−8.44906	−	17.0758i	−0.312500	−	0.631573i
$732$	−1.14059	−	1.14059i	−0.0421573	−	0.0421573i
$733$	−3.50704	+	1.45266i	−0.129536	+	0.0536554i	−0.446510	−	0.894779i	$-0.647333\pi$
$733$	−3.50704	+	1.45266i	−0.129536	+	0.0536554i	0.316974	+	0.948434i	$0.397333\pi$
$734$	0.610498	+	3.06918i	0.0225339	+	0.113285i
$735$	−10.9365	−	9.41288i	−0.403401	−	0.347199i
$736$	1.82418	−	2.73008i	0.0672402	−	0.100632i
$737$	20.8657	+	31.2277i	0.768598	+	1.15029i
$738$	1.03709	+	0.206289i	0.0381756	+	0.00759361i
$739$	−1.03602	+	0.429133i	−0.0381105	+	0.0157859i	−0.401657	−	0.915790i	$-0.631566\pi$
$739$	−1.03602	+	0.429133i	−0.0381105	+	0.0157859i	0.363547	+	0.931576i	$0.381566\pi$
$740$	6.38300	+	12.6460i	0.234644	+	0.464878i
$741$	−31.5782	+	21.0999i	−1.16005	+	0.775123i
$742$	−2.59141	+	1.73153i	−0.0951338	+	0.0635664i
$743$	−32.8308	+	6.53046i	−1.20445	+	0.239579i	−0.756206	−	0.654334i	$-0.772949\pi$
$743$	−32.8308	+	6.53046i	−1.20445	+	0.239579i	−0.448241	+	0.893913i	$0.647949\pi$
$744$	−10.7133	−	10.7133i	−0.392769	−	0.392769i
$745$	−1.32819	+	2.35063i	−0.0486611	+	0.0861206i
$746$	14.0960	−	34.0308i	0.516093	−	1.24596i
$747$	−0.641600	+	0.641600i	−0.0234749	+	0.0234749i
$748$	16.3163	+	2.12606i	0.596584	+	0.0777366i
$749$		−	41.1174i		−	1.50240i
$750$	9.32375	+	13.1459i	0.340455	+	0.480022i
$751$	−48.2534	+	9.59819i	−1.76079	+	0.350243i	−0.966376	−	0.257133i	$-0.917222\pi$
$751$	−48.2534	+	9.59819i	−1.76079	+	0.350243i	−0.794415	+	0.607376i	$0.792222\pi$
$752$		−	0.236401i		−	0.00862064i
$753$	−4.76582	−	23.9594i	−0.173676	−	0.873129i
$754$	−7.12326	+	35.8110i	−0.259414	+	1.30416i
$755$	−15.9526	−	1.94967i	−0.580574	−	0.0709559i
$756$	−7.32953	−	17.6950i	−0.266572	−	0.643563i
$757$	0.856120	+	0.354617i	0.0311162	+	0.0128888i	0.398187	−	0.917304i	$-0.369639\pi$
$757$	0.856120	+	0.354617i	0.0311162	+	0.0128888i	−0.367071	+	0.930193i	$0.619639\pi$
$758$	2.94824	−	14.8218i	0.107085	−	0.538352i
$759$	−18.5259	−	3.68502i	−0.672446	−	0.133758i
$760$	12.4818	+	7.05266i	0.452763	+	0.255827i
$761$	−10.7310	+	10.7310i	−0.388999	+	0.388999i	−0.874330	−	0.485331i	$-0.838699\pi$
$761$	−10.7310	+	10.7310i	−0.388999	+	0.388999i	0.485331	+	0.874330i	$0.338699\pi$
$762$	−4.52078	+	6.76583i	−0.163771	+	0.245100i
$763$	−24.7093	−	59.6535i	−0.894536	−	2.15960i
$764$	−20.3454			−0.736072
$765$	0.465910	−	8.48778i	0.0168450	−	0.306876i
$766$	−13.4045			−0.484325
$767$	−5.22472	−	12.6136i	−0.188654	−	0.455450i
$768$	0.800867	−	1.19858i	0.0288988	−	0.0432501i
$769$	−3.05558	+	3.05558i	−0.110187	+	0.110187i	−0.760051	−	0.649864i	$-0.774826\pi$
$769$	−3.05558	+	3.05558i	−0.110187	+	0.110187i	0.649864	+	0.760051i	$0.274826\pi$
$770$	29.1265	−	8.09504i	1.04965	−	0.291725i
$771$	11.4260	+	2.27278i	0.411499	+	0.0818522i
$772$	−0.160108	+	0.804919i	−0.00576242	+	0.0289697i
$773$	44.4276	+	18.4025i	1.59795	+	0.661893i	0.991124	−	0.132942i	$-0.0424423\pi$
$773$	44.4276	+	18.4025i	1.59795	+	0.661893i	0.606826	+	0.794834i	$0.292442\pi$
$774$	−1.63038	−	3.93609i	−0.0586028	−	0.141480i
$775$	−35.3775	−	38.8602i	−1.27080	−	1.39590i
$776$	−1.36207	+	6.84757i	−0.0488953	+	0.245813i
$777$	6.03550	+	30.3425i	0.216523	+	1.08853i
$778$			28.9322i			1.03727i
$779$	−7.21166	+	1.43449i	−0.258385	+	0.0513959i
$780$	5.96837	+	11.8246i	0.213702	+	0.423388i
$781$		−	24.8660i		−	0.889774i
$782$	13.0720	−	3.52123i	0.467454	−	0.125919i
$783$	−35.5220	+	35.5220i	−1.26945	+	1.26945i
$784$	−1.71311	+	4.13581i	−0.0611824	+	0.147707i
$785$	48.2442	−	13.4084i	1.72191	−	0.478565i
$786$	−11.9765	−	11.9765i	−0.427189	−	0.427189i
$787$	−21.3018	+	4.23720i	−0.759329	+	0.151040i	−0.559545	−	0.828800i	$-0.689024\pi$
$787$	−21.3018	+	4.23720i	−0.759329	+	0.151040i	−0.199784	+	0.979840i	$0.564024\pi$
$788$	20.7643	−	13.8743i	0.739698	−	0.494250i
$789$	2.39321	−	1.59909i	0.0852004	−	0.0569291i
$790$	−0.0930537	+	0.0469682i	−0.00331070	+	0.00167105i
$791$	19.5432	−	8.09508i	0.694878	−	0.287828i
$792$	3.60883	+	0.717841i	0.128234	+	0.0255074i
$793$	−2.55459	−	3.82322i	−0.0907163	−	0.135767i
$794$	−4.30718	+	6.44614i	−0.152856	+	0.228765i
$795$	2.95717	−	0.221419i	0.104880	−	0.00785292i
$796$	−3.29450	−	16.5626i	−0.116771	−	0.587045i
$797$	43.8685	−	18.1709i	1.55390	−	0.643647i	0.569884	−	0.821725i	$-0.306988\pi$
$797$	43.8685	−	18.1709i	1.55390	−	0.643647i	0.984016	+	0.178078i	$0.0569881\pi$
$798$	22.1397	+	22.1397i	0.783736	+	0.783736i
$799$	0.641694	−	0.733674i	0.0227015	−	0.0259555i
$800$	2.96962	−	4.02261i	0.104992	−	0.142221i
$801$	−8.08258	−	3.34791i	−0.285584	−	0.118293i
$802$	18.0601	+	12.0674i	0.637726	+	0.426115i
$803$	−8.42078			−0.297163
$804$	11.2799	+	7.53702i	0.397813	+	0.265810i
$805$	19.5913	−	15.3240i	0.690501	−	0.540101i
$806$	−23.9948	−	35.9107i	−0.845180	−	1.26490i
$807$	11.0257	−	26.6183i	0.388122	−	0.937009i
$808$	−0.105168	+	0.253898i	−0.00369979	+	0.00893209i
$809$	−12.2131	−	18.2782i	−0.429389	−	0.642626i	0.552182	−	0.833724i	$-0.313795\pi$
$809$	−12.2131	−	18.2782i	−0.429389	−	0.642626i	−0.981571	+	0.191098i	$0.938795\pi$
$810$	−1.46046	+	11.9497i	−0.0513152	+	0.419870i
$811$	4.88955	+	3.26709i	0.171695	+	0.114723i	0.638449	−	0.769664i	$-0.279576\pi$
$811$	4.88955	+	3.26709i	0.171695	+	0.114723i	−0.466753	+	0.884387i	$0.654576\pi$
$812$	30.1015			1.05636
$813$	5.65077	+	3.77572i	0.198181	+	0.132420i
$814$	−23.3572	−	9.67486i	−0.818668	−	0.339104i
$815$	6.18666	−	0.463228i	0.216709	−	0.0162262i
$816$	5.73898	−	1.54592i	0.200904	−	0.0541180i
$817$	20.9486	+	20.9486i	0.732900	+	0.732900i
$818$	21.9979	−	9.11183i	0.769139	−	0.318588i
$819$	−2.50404	−	12.5886i	−0.0874981	−	0.439882i
$820$	0.191475	+	2.55725i	0.00668659	+	0.0893031i
$821$	−24.8776	+	37.2319i	−0.868234	+	1.29940i	0.0847559	+	0.996402i	$0.472989\pi$
$821$	−24.8776	+	37.2319i	−0.868234	+	1.29940i	−0.952990	+	0.303002i	$0.902011\pi$
$822$	7.58742	+	11.3554i	0.264642	+	0.396064i
$823$	−31.8128	−	6.32796i	−1.10892	−	0.220579i	−0.393538	−	0.919308i	$-0.628749\pi$
$823$	−31.8128	−	6.32796i	−1.10892	−	0.220579i	−0.715386	+	0.698730i	$0.753749\pi$
$824$	3.60803	−	1.49450i	0.125692	−	0.0520632i
$825$	−27.9171	−	6.92735i	−0.971949	−	0.241179i
$826$	−9.35869	+	6.25328i	−0.325631	+	0.217579i
$827$	−29.5034	+	19.7136i	−1.02594	+	0.685508i	−0.950207	−	0.311621i	$-0.899128\pi$
$827$	−29.5034	+	19.7136i	−1.02594	+	0.685508i	−0.0757284	+	0.997128i	$0.524128\pi$
$828$	2.96921	−	0.590613i	0.103187	−	0.0205252i
$829$	−37.4477	−	37.4477i	−1.30061	−	1.30061i	−0.927978	−	0.372634i	$-0.878455\pi$
$829$	−37.4477	−	37.4477i	−1.30061	−	1.30061i	−0.372634	−	0.927978i	$-0.621545\pi$
$830$	−1.91585	−	1.08252i	−0.0665000	−	0.0375748i
$831$	4.42995	−	10.6948i	0.153673	−	0.371000i
$832$	2.90567	−	2.90567i	0.100736	−	0.100736i
$833$	−16.5430	+	8.18544i	−0.573183	+	0.283609i
$834$		−	7.01287i		−	0.242836i
$835$	8.57004	+	2.82066i	0.296578	+	0.0976130i
$836$	−25.0950	+	4.99171i	−0.867929	+	0.172642i
$837$		−	59.4220i		−	2.05393i
$838$	5.25544	+	26.4209i	0.181546	+	0.912694i
$839$	1.12143	−	5.63782i	0.0387161	−	0.194639i	−0.956587	−	0.291447i	$-0.905863\pi$
$839$	1.12143	−	5.63782i	0.0387161	−	0.194639i	0.995303	+	0.0968079i	$0.0308633\pi$
$840$	8.60111	−	6.72767i	0.296766	−	0.232127i
$841$	−19.1159	−	46.1499i	−0.659169	−	1.59137i
$842$	−7.36955	−	3.05257i	−0.253972	−	0.105198i
$843$	0.754899	−	3.79514i	0.0260001	−	0.130711i
$844$	−20.5628	−	4.09020i	−0.707801	−	0.140790i
$845$	2.32668	+	8.37156i	0.0800403	+	0.287990i
$846$	0.154124	−	0.154124i	0.00529891	−	0.00529891i
$847$	−9.27138	+	13.8756i	−0.318569	+	0.476772i
$848$	−0.352066	−	0.849962i	−0.0120900	−	0.0291878i
$849$	20.7872			0.713416
$850$	20.1354	−	4.42341i	0.690638	−	0.151722i
$851$	−20.8008			−0.713042
$852$	−3.43726	−	8.29827i	−0.117758	−	0.284294i
$853$	28.6707	−	42.9088i	0.981667	−	1.46917i	0.101312	−	0.994855i	$-0.467696\pi$
$853$	28.6707	−	42.9088i	0.981667	−	1.46917i	0.880356	−	0.474314i	$-0.157304\pi$
$854$	−2.68049	+	2.68049i	−0.0917243	+	0.0917243i
$855$	3.53961	+	12.7358i	0.121052	+	0.435554i
$856$	11.9040	+	2.36785i	0.406871	+	0.0809316i
$857$	−8.23610	+	41.4056i	−0.281340	+	1.41439i	0.538900	+	0.842370i	$0.318840\pi$
$857$	−8.23610	+	41.4056i	−0.281340	+	1.41439i	−0.820240	+	0.572020i	$0.806160\pi$
$858$	−21.8399	−	9.04640i	−0.745603	−	0.308839i
$859$	15.3248	+	36.9973i	0.522874	+	1.26233i	0.936110	+	0.351706i	$0.114398\pi$
$859$	15.3248	+	36.9973i	0.522874	+	1.26233i	−0.413236	+	0.910624i	$0.635602\pi$
$860$	8.13839	−	6.36574i	0.277517	−	0.217070i
$861$	−1.09261	+	5.49292i	−0.0372361	+	0.187198i
$862$	−3.04448	−	15.3057i	−0.103696	−	0.521313i
$863$		−	18.5491i		−	0.631417i	−0.948856	−	0.315709i	$-0.897758\pi$
$863$		−	18.5491i		−	0.631417i	0.948856	−	0.315709i	$-0.102242\pi$
$864$	5.54504	−	1.10298i	0.188646	−	0.0375240i
$865$	23.2702	+	7.65895i	0.791212	+	0.260412i
$866$		−	21.2306i		−	0.721444i
$867$	22.0073	+	10.7803i	0.747408	+	0.366118i
$868$	−25.1772	+	25.1772i	−0.854571	+	0.854571i
$869$	0.0711908	−	0.171870i	0.00241498	−	0.00583028i
$870$	−24.9358	−	14.0896i	−0.845401	−	0.477681i
$871$	27.3455	+	27.3455i	0.926565	+	0.926565i
$872$	18.6934	−	3.71835i	0.633039	−	0.125919i
$873$	−5.35238	+	3.57634i	−0.181151	+	0.121041i
$874$	−17.5039	+	11.6957i	−0.592078	+	0.395614i
$875$	30.8942	−	21.9117i	1.04441	−	0.740749i
$876$	−2.81018	+	1.16402i	−0.0949473	+	0.0393285i
$877$	−15.2498	−	3.03337i	−0.514949	−	0.102430i	−0.0692263	−	0.997601i	$-0.522053\pi$
$877$	−15.2498	−	3.03337i	−0.514949	−	0.102430i	−0.445722	+	0.895171i	$0.647053\pi$
$878$	−3.40064	−	5.08942i	−0.114766	−	0.171760i
$879$	20.3848	−	30.5080i	0.687561	−	1.02901i
$880$	0.666291	+	8.89867i	0.0224606	+	0.299974i
$881$	−8.46141	−	42.5384i	−0.285072	−	1.43316i	−0.812205	−	0.583372i	$-0.801733\pi$
$881$	−8.46141	−	42.5384i	−0.285072	−	1.43316i	0.527133	−	0.849783i	$-0.323267\pi$
$882$	−3.81328	+	1.57951i	−0.128400	+	0.0531849i
$883$	8.26816	+	8.26816i	0.278246	+	0.278246i	0.832408	−	0.554163i	$-0.186961\pi$
$883$	8.26816	+	8.26816i	0.278246	+	0.278246i	−0.554163	+	0.832408i	$0.686961\pi$
$884$	16.9050	−	1.13055i	0.568578	−	0.0380244i
$885$	10.6796	−	0.799638i	0.358991	−	0.0268795i
$886$	−12.5852	−	5.21295i	−0.422807	−	0.175132i
$887$	−3.17047	−	2.11844i	−0.106454	−	0.0711304i	0.501204	−	0.865329i	$-0.332891\pi$
$887$	−3.17047	−	2.11844i	−0.106454	−	0.0711304i	−0.607658	+	0.794199i	$0.707891\pi$
$888$	−9.13213			−0.306454
$889$	15.9003	+	10.6243i	0.533280	+	0.356326i
$890$	2.57391	−	21.0602i	0.0862776	−	0.705939i
$891$	−11.9367	−	17.8646i	−0.399896	−	0.598486i
$892$	−1.10412	+	2.66557i	−0.0369686	+	0.0892500i
$893$	−0.580026	+	1.40031i	−0.0194098	+	0.0468594i
$894$	−0.966999	−	1.44722i	−0.0323413	−	0.0484021i
$895$	−8.02225	+	6.27490i	−0.268154	+	0.209747i
$896$	−2.81678	−	1.88211i	−0.0941019	−	0.0628769i
$897$	−19.4496			−0.649403
$898$	−14.9345	−	9.97891i	−0.498371	−	0.333001i
$899$	86.2809	+	35.7387i	2.87763	+	1.19195i
$900$	4.55867	−	0.686513i	0.151956	−	0.0228838i
$901$	1.21453	−	3.59354i	0.0404617	−	0.119718i
$902$	−3.23625	−	3.23625i	−0.107755	−	0.107755i
$903$	20.8475	−	8.63532i	0.693761	−	0.287365i
$904$	1.21818	+	6.12420i	0.0405160	+	0.203688i
$905$	−55.8961	+	4.18523i	−1.85805	+	0.139122i
$906$	5.75607	−	8.61456i	0.191233	−	0.286200i
$907$	23.5486	+	35.2429i	0.781917	+	1.17022i	0.981710	+	0.190384i	$0.0609732\pi$
$907$	23.5486	+	35.2429i	0.781917	+	1.17022i	−0.199793	+	0.979838i	$0.564027\pi$
$908$	4.82439	+	0.959632i	0.160103	+	0.0318465i
$909$	−0.234098	+	0.0969664i	−0.00776453	+	0.00321617i
$910$	27.7888	−	14.0262i	0.921191	−	0.464965i
$911$	49.6433	−	33.1706i	1.64476	−	1.09899i	0.740448	−	0.672113i	$-0.234613\pi$
$911$	49.6433	−	33.1706i	1.64476	−	1.09899i	0.904309	−	0.426879i	$-0.140387\pi$
$912$	−7.68469	+	5.13475i	−0.254466	+	0.170029i
$913$	3.85185	−	0.766181i	0.127478	−	0.0253569i
$914$	9.97995	+	9.97995i	0.330107	+	0.330107i
$915$	3.47514	−	0.965834i	0.114884	−	0.0319295i
$916$	−5.36767	+	12.9587i	−0.177353	+	0.428168i
$917$	−28.1460	+	28.1460i	−0.929461	+	0.929461i
$918$	20.2031	+	11.6285i	0.666801	+	0.383799i
$919$			14.6741i			0.484053i	0.970270	+	0.242026i	$0.0778120\pi$
$919$			14.6741i			0.484053i	−0.970270	+	0.242026i	$0.922188\pi$
$920$	3.30829	+	6.55440i	0.109071	+	0.216092i
$921$	41.2280	−	8.20075i	1.35851	−	0.270224i
$922$			0.0301360i			0.000992478i
$923$	−4.99514	−	25.1123i	−0.164417	−	0.826580i
$924$	−3.80204	+	19.1142i	−0.125078	+	0.628810i
$925$	−31.6405	−	1.48433i	−1.04033	−	0.0488044i
$926$	0.609154	+	1.47063i	0.0200181	+	0.0483279i
$927$	3.32666	+	1.37795i	0.109262	+	0.0452578i
$928$	−1.73348	+	8.71477i	−0.0569042	+	0.286077i
$929$	−2.76873	−	0.550734i	−0.0908391	−	0.0180690i	0.149461	−	0.988768i	$-0.452246\pi$
$929$	−2.76873	−	0.550734i	−0.0908391	−	0.0180690i	−0.240301	+	0.970699i	$0.577246\pi$
$930$	32.6412	−	9.07187i	1.07035	−	0.297478i
$931$	20.2950	−	20.2950i	0.665142	−	0.665142i
$932$	−2.56392	+	3.83718i	−0.0839840	+	0.125691i
$933$	4.34489	+	10.4895i	0.142245	+	0.343411i
$934$	−8.01670			−0.262314
$935$	−22.0870	+	29.4258i	−0.722323	+	0.962327i
$936$	3.78877			0.123840
$937$	2.55815	+	6.17591i	0.0835710	+	0.201758i	0.960141	−	0.279516i	$-0.0901741\pi$
$937$	2.55815	+	6.17591i	0.0835710	+	0.201758i	−0.876570	+	0.481274i	$0.840174\pi$
$938$	17.7127	−	26.5089i	0.578340	−	0.865547i
$939$	18.8060	−	18.8060i	0.613712	−	0.613712i
$940$	0.460222	+	0.260041i	0.0150108	+	0.00848162i
$941$	−40.1031	−	7.97701i	−1.30733	−	0.260043i	−0.508216	−	0.861229i	$-0.669695\pi$
$941$	−40.1031	−	7.97701i	−1.30733	−	0.260043i	−0.799109	+	0.601186i	$0.794695\pi$
$942$	−6.29758	+	31.6601i	−0.205186	+	1.03154i
$943$	−3.47894	−	1.44102i	−0.113290	−	0.0469262i
$944$	−1.27146	−	3.06957i	−0.0413825	−	0.0999061i
$945$	42.5111	+	5.19557i	1.38288	+	0.169012i
$946$	−3.59750	+	18.0859i	−0.116965	+	0.588023i
$947$	−6.26196	−	31.4810i	−0.203486	−	1.02299i	−0.938589	−	0.345038i	$-0.887866\pi$
$947$	−6.26196	−	31.4810i	−0.203486	−	1.02299i	0.735102	−	0.677956i	$-0.237134\pi$
$948$		−	0.0671972i		−	0.00218246i
$949$	−8.50419	+	1.69159i	−0.276058	+	0.0549113i
$950$	−27.4601	+	16.5415i	−0.890924	+	0.536678i
$951$		−	19.6658i		−	0.637708i
$952$	−3.63305	−	13.4871i	−0.117748	−	0.437120i
$953$	−9.45879	+	9.45879i	−0.306400	+	0.306400i	−0.843511	−	0.537111i	$-0.819516\pi$
$953$	−9.45879	+	9.45879i	−0.306400	+	0.306400i	0.537111	+	0.843511i	$0.319516\pi$
$954$	0.324610	−	0.783678i	0.0105096	−	0.0253725i
$955$	22.3801	−	39.6083i	0.724202	−	1.28169i
$956$	11.3023	+	11.3023i	0.365544	+	0.365544i
$957$	50.1339	−	9.97225i	1.62060	−	0.322357i
$958$	20.8921	−	13.9597i	0.674994	−	0.451017i
$959$	26.6862	−	17.8311i	0.861741	−	0.575797i
$960$	1.45243	+	2.87756i	0.0468770	+	0.0928730i
$961$	−73.4183	+	30.4109i	−2.36833	+	0.980995i
$962$	−25.5320	−	5.07864i	−0.823186	−	0.163742i
$963$	6.21722	+	9.30473i	0.200347	+	0.299841i
$964$	5.66323	−	8.47562i	0.182400	−	0.272981i
$965$	−1.39089	−	1.19711i	−0.0447743	−	0.0385364i
$966$	3.12818	+	15.7264i	0.100648	+	0.505990i
$967$	−9.22713	+	3.82200i	−0.296725	+	0.122907i	−0.526079	−	0.850436i	$-0.676338\pi$
$967$	−9.22713	+	3.82200i	−0.296725	+	0.122907i	0.229355	+	0.973343i	$0.426338\pi$
$968$	−3.48325	−	3.48325i	−0.111956	−	0.111956i
$969$	−37.7876	−	4.92382i	−1.21391	−	0.158176i
$970$	−11.8325	−	10.1840i	−0.379919	−	0.326989i
$971$	3.40320	+	1.40965i	0.109214	+	0.0452379i	0.436621	−	0.899645i	$-0.356175\pi$
$971$	3.40320	+	1.40965i	0.109214	+	0.0452379i	−0.327407	+	0.944883i	$0.606175\pi$
$972$	7.64959	+	5.11129i	0.245361	+	0.163945i
$973$	−16.4809			−0.528353
$974$	−24.8229	−	16.5862i	−0.795378	−	0.531455i
$975$	−29.5852	−	1.38791i	−0.947484	−	0.0444486i
$976$	−0.621672	−	0.930398i	−0.0198992	−	0.0297813i
$977$	1.73269	−	4.18309i	0.0554338	−	0.133829i	−0.893736	−	0.448593i	$-0.851925\pi$
$977$	1.73269	−	4.18309i	0.0554338	−	0.133829i	0.949170	+	0.314764i	$0.101925\pi$
$978$	−1.53054	+	3.69506i	−0.0489414	+	0.118155i
$979$	21.0373	+	31.4845i	0.672354	+	1.00625i
$980$	−6.16712	−	7.88446i	−0.197002	−	0.251860i
$981$	14.6116	+	9.76319i	0.466514	+	0.311715i
$982$	−13.0634			−0.416869
$983$	29.8783	+	19.9641i	0.952971	+	0.636755i	0.931781	−	0.363021i	$-0.118255\pi$
$983$	29.8783	+	19.9641i	0.952971	+	0.636755i	0.0211897	+	0.999775i	$0.493255\pi$
$984$	−1.52735	−	0.632650i	−0.0486902	−	0.0201681i
$985$	4.16947	+	55.6855i	0.132850	+	1.77429i
$986$	−29.0356	+	22.3411i	−0.924681	+	0.711484i
$987$	0.816320	+	0.816320i	0.0259838	+	0.0259838i
$988$	−24.3408	+	10.0823i	−0.774384	+	0.320760i
$989$	2.95989	+	14.8804i	0.0941192	+	0.473169i
$990$	−5.36721	+	6.23600i	−0.170581	+	0.198193i
$991$	8.74298	−	13.0848i	0.277730	−	0.415652i	−0.666213	−	0.745762i	$-0.732086\pi$
$991$	8.74298	−	13.0848i	0.277730	−	0.415652i	0.943943	+	0.330110i	$0.107086\pi$
$992$	−5.83924	−	8.73903i	−0.185396	−	0.277465i
$993$	−15.3181	−	3.04696i	−0.486105	−	0.0966923i
$994$	−19.5017	+	8.07787i	−0.618556	+	0.256214i
$995$	35.8678	+	11.8052i	1.13709	+	0.374250i
$996$	1.17953	−	0.788137i	0.0373748	−	0.0249731i
$997$	19.7532	−	13.1987i	0.625591	−	0.418007i	−0.201963	−	0.979393i	$-0.564732\pi$
$997$	19.7532	−	13.1987i	0.625591	−	0.418007i	0.827554	+	0.561387i	$0.189732\pi$
$998$	1.32536	−	0.263630i	0.0419535	−	0.00834507i
$999$	−25.3260	−	25.3260i	−0.801278	−	0.801278i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.a.57.1	yes	32
5.2	odd	4		850.2.v.c.193.4		32
5.3	odd	4		170.2.r.a.23.1	yes	32
5.4	even	2		850.2.s.c.57.4		32
17.3	odd	16		170.2.r.a.37.1	yes	32
85.3	even	16	inner	170.2.o.a.3.1	✓	32
85.37	even	16		850.2.s.c.343.4		32
85.54	odd	16		850.2.v.c.207.4		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.a.3.1	✓	32	85.3	even	16	inner
170.2.o.a.57.1	yes	32	1.1	even	1	trivial
170.2.r.a.23.1	yes	32	5.3	odd	4
170.2.r.a.37.1	yes	32	17.3	odd	16
850.2.s.c.57.4		32	5.4	even	2
850.2.s.c.343.4		32	85.37	even	16
850.2.v.c.193.4		32	5.2	odd	4
850.2.v.c.207.4		32	85.54	odd	16

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.o (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.382683 - 0.923880i) q^{2} +(-0.800867 + 1.19858i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(-0.598768 - 2.15441i) q^{5} +(1.41382 + 0.281227i) q^{6} +(0.660909 - 3.32261i) q^{7} +(0.923880 + 0.382683i) q^{8} +(0.352840 + 0.851831i) q^{9} +O(q^{10})\)	\(q+(-0.382683 - 0.923880i) q^{2} +(-0.800867 + 1.19858i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(-0.598768 - 2.15441i) q^{5} +(1.41382 + 0.281227i) q^{6} +(0.660909 - 3.32261i) q^{7} +(0.923880 + 0.382683i) q^{8} +(0.352840 + 0.851831i) q^{9} +(-1.76128 + 1.37765i) q^{10} +(0.778556 - 3.91407i) q^{11} +(-0.281227 - 1.41382i) q^{12} -4.10923i q^{13} +(-3.32261 + 0.660909i) q^{14} +(3.06177 + 1.00772i) q^{15} -1.00000i q^{16} +(2.71444 - 3.10352i) q^{17} +(0.651963 - 0.651963i) q^{18} +(-2.45357 + 5.92345i) q^{19} +(1.94679 + 1.10000i) q^{20} +(3.45312 + 3.45312i) q^{21} +(-3.91407 + 0.778556i) q^{22} +(-2.73008 + 1.82418i) q^{23} +(-1.19858 + 0.800867i) q^{24} +(-4.28295 + 2.57998i) q^{25} +(-3.79643 + 1.57253i) q^{26} +(-5.54504 - 1.10298i) q^{27} +(1.88211 + 2.81678i) q^{28} +(4.93652 - 7.38803i) q^{29} +(-0.240675 - 3.21434i) q^{30} +(2.05047 + 10.3084i) q^{31} +(-0.923880 + 0.382683i) q^{32} +(4.06781 + 4.06781i) q^{33} +(-3.90605 - 1.32015i) q^{34} +(-7.55400 + 0.565608i) q^{35} +(-0.851831 - 0.352840i) q^{36} +(5.26741 + 3.51957i) q^{37} +6.41149 q^{38} +(4.92525 + 3.29095i) q^{39} +(0.271267 - 2.21955i) q^{40} +(0.637150 + 0.953562i) q^{41} +(1.86882 - 4.51172i) q^{42} +(1.76828 - 4.26901i) q^{43} +(2.21714 + 3.31818i) q^{44} +(1.62392 - 1.27021i) q^{45} +(2.73008 + 1.82418i) q^{46} +0.236401 q^{47} +(1.19858 + 0.800867i) q^{48} +(-4.13581 - 1.71311i) q^{49} +(4.02261 + 2.96962i) q^{50} +(1.54592 + 5.73898i) q^{51} +(2.90567 + 2.90567i) q^{52} +(0.849962 - 0.352066i) q^{53} +(1.10298 + 5.54504i) q^{54} +(-8.89867 + 0.666291i) q^{55} +(1.88211 - 2.81678i) q^{56} +(-5.13475 - 7.68469i) q^{57} +(-8.71477 - 1.73348i) q^{58} +(3.06957 - 1.27146i) q^{59} +(-2.87756 + 1.45243i) q^{60} +(0.930398 - 0.621672i) q^{61} +(8.73903 - 5.83924i) q^{62} +(3.06350 - 0.609368i) q^{63} +(0.707107 + 0.707107i) q^{64} +(-8.85296 + 2.46048i) q^{65} +(2.20148 - 5.31485i) q^{66} +(-6.65464 + 6.65464i) q^{67} +(0.275124 + 4.11392i) q^{68} -4.73315i q^{69} +(3.41334 + 6.76254i) q^{70} +(6.11118 - 1.21559i) q^{71} +0.922015i q^{72} +(-0.411656 - 2.06953i) q^{73} +(1.23591 - 6.21333i) q^{74} +(0.337754 - 7.19969i) q^{75} +(-2.45357 - 5.92345i) q^{76} +(-12.4904 - 5.17368i) q^{77} +(1.15563 - 5.80973i) q^{78} +(0.0457198 + 0.00909423i) q^{79} +(-2.15441 + 0.598768i) q^{80} +(3.80695 - 3.80695i) q^{81} +(0.637150 - 0.953562i) q^{82} +(0.376601 + 0.909194i) q^{83} -4.88345 q^{84} +(-8.31157 - 3.98972i) q^{85} -4.62074 q^{86} +(4.90166 + 11.8337i) q^{87} +(2.21714 - 3.31818i) q^{88} +(-6.70937 + 6.70937i) q^{89} +(-1.79497 - 1.01422i) q^{90} +(-13.6534 - 2.71583i) q^{91} +(0.640567 - 3.22035i) q^{92} +(-13.9976 - 5.79800i) q^{93} +(-0.0904666 - 0.218406i) q^{94} +(14.2306 + 1.73922i) q^{95} +(0.281227 - 1.41382i) q^{96} +(1.36207 + 6.84757i) q^{97} +4.47657i q^{98} +(3.60883 - 0.717841i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q+O(q^{10}) \) 32 * q	\( 32 q + 8 q^{10} - 40 q^{15} + 16 q^{18} + 8 q^{20} - 8 q^{25} + 8 q^{26} - 72 q^{27} + 8 q^{28} + 8 q^{29} - 16 q^{31} - 64 q^{33} - 24 q^{34} + 32 q^{35} + 16 q^{37} + 32 q^{39} - 8 q^{40} + 16 q^{41} - 40 q^{42} + 48 q^{43} + 16 q^{44} + 24 q^{45} - 64 q^{47} + 16 q^{49} + 32 q^{50} + 32 q^{51} - 16 q^{52} - 24 q^{54} + 8 q^{55} + 8 q^{56} - 8 q^{57} - 16 q^{58} + 64 q^{59} - 48 q^{60} - 24 q^{61} - 24 q^{62} - 24 q^{63} - 16 q^{65} - 16 q^{67} - 16 q^{68} + 24 q^{70} + 8 q^{71} + 16 q^{73} - 8 q^{74} - 8 q^{75} + 40 q^{77} + 48 q^{78} - 72 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} - 8 q^{85} - 64 q^{86} + 24 q^{87} + 16 q^{88} - 16 q^{89} + 48 q^{90} + 48 q^{91} + 8 q^{92} + 8 q^{93} - 8 q^{94} + 40 q^{95} + 16 q^{97} + 64 q^{99}+O(q^{100}) \) 32 * q + 8 * q^10 - 40 * q^15 + 16 * q^18 + 8 * q^20 - 8 * q^25 + 8 * q^26 - 72 * q^27 + 8 * q^28 + 8 * q^29 - 16 * q^31 - 64 * q^33 - 24 * q^34 + 32 * q^35 + 16 * q^37 + 32 * q^39 - 8 * q^40 + 16 * q^41 - 40 * q^42 + 48 * q^43 + 16 * q^44 + 24 * q^45 - 64 * q^47 + 16 * q^49 + 32 * q^50 + 32 * q^51 - 16 * q^52 - 24 * q^54 + 8 * q^55 + 8 * q^56 - 8 * q^57 - 16 * q^58 + 64 * q^59 - 48 * q^60 - 24 * q^61 - 24 * q^62 - 24 * q^63 - 16 * q^65 - 16 * q^67 - 16 * q^68 + 24 * q^70 + 8 * q^71 + 16 * q^73 - 8 * q^74 - 8 * q^75 + 40 * q^77 + 48 * q^78 - 72 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 - 8 * q^85 - 64 * q^86 + 24 * q^87 + 16 * q^88 - 16 * q^89 + 48 * q^90 + 48 * q^91 + 8 * q^92 + 8 * q^93 - 8 * q^94 + 40 * q^95 + 16 * q^97 + 64 * q^99

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