LMFDB - Embedded newform 170.2.r.b.23.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(23,170)]

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, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.r (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:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			23.5
Character	$\chi$	$=$	170.23
Dual form			170.2.r.b.37.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.923880 - 0.382683i) q^{2} +(2.12983 + 1.42311i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.23146 - 0.143452i) q^{5} +(2.51231 + 0.499730i) q^{6} +(0.0411526 + 0.00818577i) q^{7} +(0.382683 - 0.923880i) q^{8} +(1.36290 + 3.29034i) q^{9} +O(q^{10})$	\(q+(0.923880 - 0.382683i) q^{2} +(2.12983 + 1.42311i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.23146 - 0.143452i) q^{5} +(2.51231 + 0.499730i) q^{6} +(0.0411526 + 0.00818577i) q^{7} +(0.382683 - 0.923880i) q^{8} +(1.36290 + 3.29034i) q^{9} +(-2.11650 + 0.721411i) q^{10} +(0.476069 - 2.39336i) q^{11} +(2.51231 - 0.499730i) q^{12} -2.17043 q^{13} +(0.0411526 - 0.00818577i) q^{14} +(-4.54850 - 3.48114i) q^{15} -1.00000i q^{16} +(-2.37892 + 3.36760i) q^{17} +(2.51831 + 2.51831i) q^{18} +(-1.43074 + 3.45410i) q^{19} +(-1.67932 + 1.47645i) q^{20} +(0.0759990 + 0.0759990i) q^{21} +(-0.476069 - 2.39336i) q^{22} +(-3.96256 - 5.93039i) q^{23} +(2.12983 - 1.42311i) q^{24} +(4.95884 + 0.640216i) q^{25} +(-2.00521 + 0.830586i) q^{26} +(-0.280566 + 1.41050i) q^{27} +(0.0348875 - 0.0233111i) q^{28} +(4.73332 - 7.08392i) q^{29} +(-5.53444 - 1.47552i) q^{30} +(0.226000 + 1.13618i) q^{31} +(-0.382683 - 0.923880i) q^{32} +(4.41996 - 4.41996i) q^{33} +(-0.909115 + 4.02163i) q^{34} +(-0.0906563 - 0.0241697i) q^{35} +(3.29034 + 1.36290i) q^{36} +(-4.07998 + 6.10612i) q^{37} +3.73869i q^{38} +(-4.62265 - 3.08876i) q^{39} +(-0.986476 + 2.00671i) q^{40} +(0.400666 + 0.599639i) q^{41} +(0.0992975 + 0.0411304i) q^{42} +(8.37226 + 3.46790i) q^{43} +(-1.35573 - 2.02899i) q^{44} +(-2.56926 - 7.53777i) q^{45} +(-5.93039 - 3.96256i) q^{46} +4.13811i q^{47} +(1.42311 - 2.12983i) q^{48} +(-6.46553 - 2.67811i) q^{49} +(4.82637 - 1.30618i) q^{50} +(-9.85918 + 3.78696i) q^{51} +(-1.53472 + 1.53472i) q^{52} +(2.01791 + 4.87166i) q^{53} +(0.280566 + 1.41050i) q^{54} +(-1.40566 + 5.27240i) q^{55} +(0.0233111 - 0.0348875i) q^{56} +(-7.96279 + 5.32057i) q^{57} +(1.66212 - 8.35605i) q^{58} +(-8.77968 + 3.63666i) q^{59} +(-5.67781 + 0.754731i) q^{60} +(5.87005 - 3.92224i) q^{61} +(0.643594 + 0.963206i) q^{62} +(0.0291531 + 0.146562i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(4.84322 + 0.311352i) q^{65} +(2.39207 - 5.77496i) q^{66} +(11.0282 + 11.0282i) q^{67} +(0.699099 + 4.06341i) q^{68} -18.2699i q^{69} +(-0.0930048 + 0.0123628i) q^{70} +(5.22907 - 1.04013i) q^{71} +3.56143 q^{72} +(11.1908 - 2.22600i) q^{73} +(-1.43270 + 7.20266i) q^{74} +(9.65042 + 8.42053i) q^{75} +(1.43074 + 3.45410i) q^{76} +(0.0391830 - 0.0945961i) q^{77} +(-5.45279 - 1.08463i) q^{78} +(-7.04108 - 1.40056i) q^{79} +(-0.143452 + 2.23146i) q^{80} +(4.95009 - 4.95009i) q^{81} +(0.599639 + 0.400666i) q^{82} +(-15.6168 + 6.46869i) q^{83} +0.107479 q^{84} +(5.79157 - 7.17341i) q^{85} +9.06206 q^{86} +(20.1624 - 8.35153i) q^{87} +(-2.02899 - 1.35573i) q^{88} +(11.5475 - 11.5475i) q^{89} +(-5.25826 - 5.98078i) q^{90} +(-0.0893188 - 0.0177666i) q^{91} +(-6.99537 - 1.39147i) q^{92} +(-1.13557 + 2.74150i) q^{93} +(1.58359 + 3.82312i) q^{94} +(3.68813 - 7.50245i) q^{95} +(0.499730 - 2.51231i) q^{96} +(-4.02485 + 0.800592i) q^{97} -6.99824 q^{98} +(8.52380 - 1.69549i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) $ 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.923880	−	0.382683i	0.653281	−	0.270598i
$2$	0.923880	−	0.382683i	0.653281	−	0.270598i
$3$	2.12983	+	1.42311i	1.22966	+	0.821633i	0.988846	−	0.148939i	$-0.0475857\pi$
$3$	2.12983	+	1.42311i	1.22966	+	0.821633i	0.240814	+	0.970571i	$0.422586\pi$
$4$	0.707107	−	0.707107i	0.353553	−	0.353553i
$5$	−2.23146	−	0.143452i	−0.997940	−	0.0641538i
$5$	−2.23146	−	0.143452i	−0.997940	−	0.0641538i
$6$	2.51231	+	0.499730i	1.02565	+	0.204014i
$7$	0.0411526	+	0.00818577i	0.0155542	+	0.00309393i	0.202861	−	0.979207i	$-0.434976\pi$
$7$	0.0411526	+	0.00818577i	0.0155542	+	0.00309393i	−0.187307	+	0.982301i	$0.559976\pi$
$8$	0.382683	−	0.923880i	0.135299	−	0.326641i
$9$	1.36290	+	3.29034i	0.454301	+	1.09678i
$10$	−2.11650	+	0.721411i	−0.669296	+	0.228130i
$11$	0.476069	−	2.39336i	0.143540	−	0.721625i	−0.840235	−	0.542222i	$-0.817583\pi$
$11$	0.476069	−	2.39336i	0.143540	−	0.721625i	0.983776	−	0.179404i	$-0.0574168\pi$
$12$	2.51231	−	0.499730i	0.725242	−	0.144260i
$13$	−2.17043			−0.601968			−0.300984	−	0.953629i	$-0.597315\pi$
$13$	−2.17043			−0.601968			−0.300984	+	0.953629i	$0.597315\pi$
$14$	0.0411526	−	0.00818577i	0.0109985	−	0.00218774i
$15$	−4.54850	−	3.48114i	−1.17442	−	0.898828i
$16$		−	1.00000i		−	0.250000i
$17$	−2.37892	+	3.36760i	−0.576974	+	0.816763i
$17$	−2.37892	+	3.36760i	−0.576974	+	0.816763i
$18$	2.51831	+	2.51831i	0.593572	+	0.593572i
$19$	−1.43074	+	3.45410i	−0.328233	+	0.792425i	0.670490	+	0.741918i	$0.266084\pi$
$19$	−1.43074	+	3.45410i	−0.328233	+	0.792425i	−0.998724	+	0.0505070i	$0.983916\pi$
$20$	−1.67932	+	1.47645i	−0.375507	+	0.330143i
$21$	0.0759990	+	0.0759990i	0.0165844	+	0.0165844i
$22$	−0.476069	−	2.39336i	−0.101498	−	0.510266i
$23$	−3.96256	−	5.93039i	−0.826250	−	1.23657i	−0.969061	−	0.246821i	$-0.920614\pi$
$23$	−3.96256	−	5.93039i	−0.826250	−	1.23657i	0.142811	−	0.989750i	$-0.454386\pi$
$24$	2.12983	−	1.42311i	0.434751	−	0.290491i
$25$	4.95884	+	0.640216i	0.991769	+	0.128043i
$26$	−2.00521	+	0.830586i	−0.393255	+	0.162891i
$27$	−0.280566	+	1.41050i	−0.0539949	+	0.271450i
$28$	0.0348875	−	0.0233111i	0.00659312	−	0.00440538i
$29$	4.73332	−	7.08392i	0.878956	−	1.31545i	−0.0691866	−	0.997604i	$-0.522040\pi$
$29$	4.73332	−	7.08392i	0.878956	−	1.31545i	0.948142	−	0.317846i	$-0.102960\pi$
$30$	−5.53444	−	1.47552i	−1.01045	−	0.269393i
$31$	0.226000	+	1.13618i	0.0405908	+	0.204064i	0.995759	−	0.0919999i	$-0.0293259\pi$
$31$	0.226000	+	1.13618i	0.0405908	+	0.204064i	−0.955168	+	0.296064i	$0.904326\pi$
$32$	−0.382683	−	0.923880i	−0.0676495	−	0.163320i
$33$	4.41996	−	4.41996i	0.769417	−	0.769417i
$34$	−0.909115	+	4.02163i	−0.155912	+	0.689704i
$35$	−0.0906563	−	0.0241697i	−0.0153237	−	0.00408542i
$36$	3.29034	+	1.36290i	0.548389	+	0.227150i
$37$	−4.07998	+	6.10612i	−0.670744	+	1.00384i	0.327514	+	0.944846i	$0.393789\pi$
$37$	−4.07998	+	6.10612i	−0.670744	+	1.00384i	−0.998258	+	0.0589933i	$0.981211\pi$
$38$			3.73869i			0.606496i
$39$	−4.62265	−	3.08876i	−0.740216	−	0.494597i
$40$	−0.986476	+	2.00671i	−0.155976	+	0.317288i
$41$	0.400666	+	0.599639i	0.0625735	+	0.0936479i	0.861437	−	0.507865i	$-0.169565\pi$
$41$	0.400666	+	0.599639i	0.0625735	+	0.0936479i	−0.798863	+	0.601513i	$0.794565\pi$
$42$	0.0992975	+	0.0411304i	0.0153219	+	0.00634656i
$43$	8.37226	+	3.46790i	1.27676	+	0.528850i	0.915012	−	0.403427i	$-0.132181\pi$
$43$	8.37226	+	3.46790i	1.27676	+	0.528850i	0.361745	+	0.932277i	$0.382181\pi$
$44$	−1.35573	−	2.02899i	−0.204384	−	0.305882i
$45$	−2.56926	−	7.53777i	−0.383002	−	1.12366i
$46$	−5.93039	−	3.96256i	−0.874388	−	0.584247i
$47$			4.13811i			0.603605i	0.953370	+	0.301803i	$0.0975884\pi$
$47$			4.13811i			0.603605i	−0.953370	+	0.301803i	$0.902412\pi$
$48$	1.42311	−	2.12983i	0.205408	−	0.307415i
$49$	−6.46553	−	2.67811i	−0.923647	−	0.382587i
$50$	4.82637	−	1.30618i	0.682552	−	0.184722i
$51$	−9.85918	+	3.78696i	−1.38056	+	0.530280i
$52$	−1.53472	+	1.53472i	−0.212828	+	0.212828i
$53$	2.01791	+	4.87166i	0.277181	+	0.669174i	0.999755	−	0.0221193i	$-0.00704138\pi$
$53$	2.01791	+	4.87166i	0.277181	+	0.669174i	−0.722575	+	0.691293i	$0.757041\pi$
$54$	0.280566	+	1.41050i	0.0381801	+	0.191944i
$55$	−1.40566	+	5.27240i	−0.189539	+	0.710930i
$56$	0.0233111	−	0.0348875i	0.00311508	−	0.00466204i
$57$	−7.96279	+	5.32057i	−1.05470	+	0.704727i
$58$	1.66212	−	8.35605i	0.218247	−	1.09720i
$59$	−8.77968	+	3.63666i	−1.14302	+	0.473453i	−0.872186	−	0.489174i	$-0.837298\pi$
$59$	−8.77968	+	3.63666i	−1.14302	+	0.473453i	−0.270831	+	0.962627i	$0.587298\pi$
$60$	−5.67781	+	0.754731i	−0.733002	+	0.0974354i
$61$	5.87005	−	3.92224i	0.751583	−	0.502192i	−0.119798	−	0.992798i	$-0.538225\pi$
$61$	5.87005	−	3.92224i	0.751583	−	0.502192i	0.871381	+	0.490607i	$0.163225\pi$
$62$	0.643594	+	0.963206i	0.0817365	+	0.122327i
$63$	0.0291531	+	0.146562i	0.00367294	+	0.0184651i
$64$	−0.707107	−	0.707107i	−0.0883883	−	0.0883883i
$65$	4.84322	+	0.311352i	0.600728	+	0.0386185i
$66$	2.39207	−	5.77496i	0.294443	−	0.710848i
$67$	11.0282	+	11.0282i	1.34731	+	1.34731i	0.888576	+	0.458729i	$0.151695\pi$
$67$	11.0282	+	11.0282i	1.34731	+	1.34731i	0.458729	+	0.888576i	$0.348305\pi$
$68$	0.699099	+	4.06341i	0.0847782	+	0.492760i
$69$		−	18.2699i		−	2.19944i
$70$	−0.0930048	+	0.0123628i	−0.0111162	+	0.00147764i
$71$	5.22907	−	1.04013i	0.620576	−	0.123440i	0.125218	−	0.992129i	$-0.460037\pi$
$71$	5.22907	−	1.04013i	0.620576	−	0.123440i	0.495358	+	0.868689i	$0.335037\pi$
$72$	3.56143			0.419719
$73$	11.1908	−	2.22600i	1.30979	−	0.260533i	0.509667	−	0.860372i	$-0.329769\pi$
$73$	11.1908	−	2.22600i	1.30979	−	0.260533i	0.800121	+	0.599839i	$0.204769\pi$
$74$	−1.43270	+	7.20266i	−0.166548	+	0.837292i
$75$	9.65042	+	8.42053i	1.11433	+	0.972319i
$76$	1.43074	+	3.45410i	0.164117	+	0.396213i
$77$	0.0391830	−	0.0945961i	0.00446532	−	0.0107802i
$78$	−5.45279	−	1.08463i	−0.617406	−	0.122810i
$79$	−7.04108	−	1.40056i	−0.792183	−	0.157575i	−0.217618	−	0.976034i	$-0.569829\pi$
$79$	−7.04108	−	1.40056i	−0.792183	−	0.157575i	−0.574565	+	0.818459i	$0.694829\pi$
$80$	−0.143452	+	2.23146i	−0.0160384	+	0.249485i
$81$	4.95009	−	4.95009i	0.550010	−	0.550010i
$82$	0.599639	+	0.400666i	0.0662190	+	0.0442461i
$83$	−15.6168	+	6.46869i	−1.71417	+	0.710031i	−0.714217	+	0.699924i	$0.753217\pi$
$83$	−15.6168	+	6.46869i	−1.71417	+	0.710031i	−0.999949	+	0.0101067i	$0.996783\pi$
$84$	0.107479			0.0117269
$85$	5.79157	−	7.17341i	0.628184	−	0.778065i
$86$	9.06206			0.977188
$87$	20.1624	−	8.35153i	2.16163	−	0.895378i
$88$	−2.02899	−	1.35573i	−0.216291	−	0.144521i
$89$	11.5475	−	11.5475i	1.22403	−	1.22403i	0.257842	−	0.966187i	$-0.416988\pi$
$89$	11.5475	−	11.5475i	1.22403	−	1.22403i	0.966187	−	0.257842i	$-0.0830116\pi$
$90$	−5.25826	−	5.98078i	−0.554270	−	0.630430i
$91$	−0.0893188	−	0.0177666i	−0.00936315	−	0.00186245i
$92$	−6.99537	−	1.39147i	−0.729317	−	0.145070i
$93$	−1.13557	+	2.74150i	−0.117753	+	0.284280i
$94$	1.58359	+	3.82312i	0.163334	+	0.394324i
$95$	3.68813	−	7.50245i	0.378394	−	0.769735i
$96$	0.499730	−	2.51231i	0.0510034	−	0.256412i
$97$	−4.02485	+	0.800592i	−0.408661	+	0.0812878i	−0.395140	−	0.918621i	$-0.629304\pi$
$97$	−4.02485	+	0.800592i	−0.408661	+	0.0812878i	−0.0135211	+	0.999909i	$0.504304\pi$
$98$	−6.99824			−0.706929
$99$	8.52380	−	1.69549i	0.856674	−	0.170403i
$100$	3.95913	−	3.05373i	0.395913	−	0.305373i
$101$		−	1.24630i		−	0.124011i	−0.998076	−	0.0620057i	$-0.980250\pi$
$101$		−	1.24630i		−	0.124011i	0.998076	−	0.0620057i	$-0.0197497\pi$
$102$	−7.65948	+	7.27164i	−0.758402	+	0.719999i
$103$	6.84328	+	6.84328i	0.674288	+	0.674288i	0.958702	−	0.284414i	$-0.0917989\pi$
$103$	6.84328	+	6.84328i	0.674288	+	0.674288i	−0.284414	+	0.958702i	$0.591799\pi$
$104$	−0.830586	+	2.00521i	−0.0814457	+	0.196627i
$105$	−0.158687	−	0.180491i	−0.0154862	−	0.0176141i
$106$	3.72861	+	3.72861i	0.362154	+	0.362154i
$107$	−0.149174	−	0.749949i	−0.0144212	−	0.0725003i	0.972905	−	0.231207i	$-0.0742675\pi$
$107$	−0.149174	−	0.749949i	−0.0144212	−	0.0725003i	−0.987326	+	0.158707i	$0.949268\pi$
$108$	0.798983	+	1.19576i	0.0768822	+	0.115062i
$109$	−8.79925	+	5.87947i	−0.842815	+	0.563151i	−0.900337	−	0.435193i	$-0.856680\pi$
$109$	−8.79925	+	5.87947i	−0.842815	+	0.563151i	0.0575218	+	0.998344i	$0.481680\pi$
$110$	0.718997	+	5.40899i	0.0685537	+	0.515727i
$111$	−17.3794	+	7.19876i	−1.64957	+	0.683276i
$112$	0.00818577	−	0.0411526i	0.000773482	−	0.00388856i
$113$	5.06378	−	3.38351i	0.476360	−	0.318294i	−0.294108	−	0.955772i	$-0.595022\pi$
$113$	5.06378	−	3.38351i	0.476360	−	0.318294i	0.770468	+	0.637478i	$0.220022\pi$
$114$	−5.32057	+	7.96279i	−0.498317	+	0.745784i
$115$	7.99157	+	13.8019i	0.745218	+	1.28703i
$116$	−1.66212	−	8.35605i	−0.154324	−	0.775840i
$117$	−2.95808	−	7.14143i	−0.273474	−	0.660226i
$118$	−6.71968	+	6.71968i	−0.618596	+	0.618596i
$119$	−0.125465	+	0.119112i	−0.0115014	+	0.0109190i
$120$	−4.95679	+	2.87009i	−0.452491	+	0.262002i
$121$	4.66114	+	1.93071i	0.423740	+	0.175519i
$122$	3.92224	−	5.87005i	0.355103	−	0.531449i
$123$			1.84732i			0.166567i
$124$	0.963206	+	0.643594i	0.0864985	+	0.0577964i
$125$	−10.9736	−	2.13997i	−0.981511	−	0.191405i
$126$	0.0830209	+	0.124250i	0.00739609	+	0.0110690i
$127$	−12.3297	−	5.10715i	−1.09409	−	0.453186i	−0.238657	−	0.971104i	$-0.576707\pi$
$127$	−12.3297	−	5.10715i	−1.09409	−	0.453186i	−0.855430	+	0.517918i	$0.826707\pi$
$128$	−0.923880	−	0.382683i	−0.0816602	−	0.0338248i
$129$	12.8963	+	19.3007i	1.13546	+	1.69933i
$130$	4.59371	−	1.56577i	0.402895	−	0.137327i
$131$	−2.94740	−	1.96939i	−0.257516	−	0.172066i	0.420111	−	0.907473i	$-0.361991\pi$
$131$	−2.94740	−	1.96939i	−0.257516	−	0.172066i	−0.677626	+	0.735406i	$0.736991\pi$
$132$		−	6.25077i		−	0.544060i
$133$	−0.0871530	+	0.130434i	−0.00755712	+	0.0113100i
$134$	14.4090	+	5.96840i	1.24475	+	0.515591i
$135$	0.828410	−	3.10722i	0.0712982	−	0.267427i
$136$	2.20088	+	3.48656i	0.188724	+	0.298970i
$137$	9.91781	−	9.91781i	0.847336	−	0.847336i	−0.142464	−	0.989800i	$-0.545503\pi$
$137$	9.91781	−	9.91781i	0.847336	−	0.847336i	0.989800	+	0.142464i	$0.0455026\pi$
$138$	−6.99159	−	16.8792i	−0.595163	−	1.43685i
$139$	−0.822930	−	4.13715i	−0.0698001	−	0.350909i	0.930064	−	0.367398i	$-0.119751\pi$
$139$	−0.822930	−	4.13715i	−0.0698001	−	0.350909i	−0.999864	+	0.0164890i	$0.994751\pi$
$140$	−0.0811942	+	0.0470131i	−0.00686216	+	0.00397333i
$141$	−5.88898	+	8.81349i	−0.495942	+	0.742230i
$142$	4.43299	−	2.96203i	0.372008	−	0.248568i
$143$	−1.03327	+	5.19461i	−0.0864066	+	0.434395i
$144$	3.29034	−	1.36290i	0.274195	−	0.113575i
$145$	−11.5784	+	15.1285i	−0.961536	+	1.25635i
$146$	9.48713	−	6.33910i	0.785161	−	0.524628i
$147$	−9.95926	−	14.9051i	−0.821426	−	1.22935i
$148$	1.43270	+	7.20266i	0.117767	+	0.592055i
$149$	−0.764298	−	0.764298i	−0.0626137	−	0.0626137i	0.675107	−	0.737720i	$-0.264098\pi$
$149$	−0.764298	−	0.764298i	−0.0626137	−	0.0626137i	−0.737720	+	0.675107i	$0.764098\pi$
$150$	12.1382	+	4.08650i	0.991081	+	0.333662i
$151$	4.97432	−	12.0091i	0.404804	−	0.977284i	−0.581679	−	0.813419i	$-0.697604\pi$
$151$	4.97432	−	12.0091i	0.404804	−	0.977284i	0.986483	−	0.163865i	$-0.0523961\pi$
$152$	2.64365	+	2.64365i	0.214429	+	0.214429i
$153$	−14.3228	−	3.23775i	−1.15793	−	0.261757i
$154$		−	0.102390i		−	0.00825083i
$155$	−0.341323	−	2.56776i	−0.0274157	−	0.206248i
$156$	−5.45279	+	1.08463i	−0.436572	+	0.0868396i
$157$	6.98767			0.557677			0.278838	−	0.960338i	$-0.410051\pi$
$157$	6.98767			0.557677			0.278838	+	0.960338i	$0.410051\pi$
$158$	−7.04108	+	1.40056i	−0.560158	+	0.111422i
$159$	−2.63510	+	13.2475i	−0.208977	+	1.05060i
$160$	0.721411	+	2.11650i	0.0570325	+	0.167324i
$161$	−0.114525	−	0.276488i	−0.00902583	−	0.0217903i
$162$	2.67897	−	6.46761i	0.210480	−	0.508143i
$163$	−10.6693	−	2.12225i	−0.835683	−	0.166228i	−0.241341	−	0.970440i	$-0.577587\pi$
$163$	−10.6693	−	2.12225i	−0.835683	−	0.166228i	−0.594342	+	0.804213i	$0.702587\pi$
$164$	0.707322	+	0.140695i	0.0552326	+	0.0109864i
$165$	−10.4970	+	9.22892i	−0.817193	+	0.718471i
$166$	−11.9526	+	11.9526i	−0.927700	+	0.927700i
$167$	−2.75591	−	1.84144i	−0.213258	−	0.142495i	0.444354	−	0.895851i	$-0.353433\pi$
$167$	−2.75591	−	1.84144i	−0.213258	−	0.142495i	−0.657612	+	0.753357i	$0.728433\pi$
$168$	0.0992975	−	0.0411304i	0.00766097	−	0.00317328i
$169$	−8.28925			−0.637634
$170$	2.60557	−	8.84370i	0.199838	−	0.678281i
$171$	−13.3151			−1.01823
$172$	8.37226	−	3.46790i	0.638379	−	0.264425i
$173$	−19.7194	−	13.1760i	−1.49923	−	1.00176i	−0.989990	−	0.141134i	$-0.954925\pi$
$173$	−19.7194	−	13.1760i	−1.49923	−	1.00176i	−0.509244	−	0.860622i	$-0.670075\pi$
$174$	15.4316	−	15.4316i	1.16987	−	1.16987i
$175$	0.198829	+	0.0669385i	0.0150300	+	0.00506008i
$176$	−2.39336	−	0.476069i	−0.180406	−	0.0358851i
$177$	−23.8746	−	4.74896i	−1.79453	−	0.356954i
$178$	6.24945	−	15.0875i	0.468416	−	1.13086i
$179$	−1.07522	−	2.59580i	−0.0803654	−	0.194019i	0.878590	−	0.477578i	$-0.158485\pi$
$179$	−1.07522	−	2.59580i	−0.0803654	−	0.194019i	−0.958955	+	0.283558i	$0.908485\pi$
$180$	−7.14675	−	3.51327i	−0.532687	−	0.261864i
$181$	−2.12484	+	10.6823i	−0.157938	+	0.794008i	0.817874	+	0.575397i	$0.195153\pi$
$181$	−2.12484	+	10.6823i	−0.157938	+	0.794008i	−0.975812	+	0.218611i	$0.929847\pi$
$182$	−0.0893188	+	0.0177666i	−0.00662075	+	0.00131695i
$183$	18.0840			1.33681
$184$	−6.99537	+	1.39147i	−0.515705	+	0.102580i
$185$	9.98025	−	13.0403i	0.733763	−	0.958741i
$186$			2.96737i			0.217578i
$187$	6.92735	+	7.29683i	0.506578	+	0.533597i
$188$	2.92609	+	2.92609i	0.213407	+	0.213407i
$189$	−0.0230920	+	0.0557491i	−0.00167970	+	0.00405515i
$190$	0.536323	−	8.34275i	0.0389090	−	0.605247i
$191$	−13.5289	−	13.5289i	−0.978916	−	0.978916i	0.0208667	−	0.999782i	$-0.493357\pi$
$191$	−13.5289	−	13.5289i	−0.978916	−	0.978916i	−0.999782	+	0.0208667i	$0.993357\pi$
$192$	−0.499730	−	2.51231i	−0.0360649	−	0.181310i
$193$	−0.490150	−	0.733561i	−0.0352817	−	0.0528029i	0.813409	−	0.581692i	$-0.197609\pi$
$193$	−0.490150	−	0.733561i	−0.0352817	−	0.0528029i	−0.848691	+	0.528889i	$0.822609\pi$
$194$	−3.41210	+	2.27989i	−0.244975	+	0.163687i
$195$	9.87218	+	7.55557i	0.706961	+	0.541065i
$196$	−6.46553	+	2.67811i	−0.461824	+	0.191294i
$197$	−1.96862	+	9.89694i	−0.140259	+	0.705128i	0.845097	+	0.534614i	$0.179543\pi$
$197$	−1.96862	+	9.89694i	−0.140259	+	0.705128i	−0.985355	+	0.170514i	$0.945457\pi$
$198$	7.22613	−	4.82834i	0.513538	−	0.343135i
$199$	−0.122729	+	0.183676i	−0.00870000	+	0.0130205i	−0.835794	−	0.549043i	$-0.814992\pi$
$199$	−0.122729	+	0.183676i	−0.00870000	+	0.0130205i	0.827094	+	0.562063i	$0.189992\pi$
$200$	2.48915	−	4.33637i	0.176009	−	0.306628i
$201$	7.79388	+	39.1825i	0.549738	+	2.76372i
$202$	−0.476938	−	1.15143i	−0.0335573	−	0.0810144i
$203$	0.252776	−	0.252776i	0.0177414	−	0.0177414i
$204$	−4.29371	+	9.64927i	−0.300620	+	0.675584i
$205$	−0.808051	−	1.39555i	−0.0564367	−	0.0974693i
$206$	8.94117	+	3.70355i	0.622961	+	0.258039i
$207$	14.1124	−	21.1207i	0.980879	−	1.46799i
$208$			2.17043i			0.150492i
$209$	7.58578	+	5.06866i	0.524719	+	0.350606i
$210$	−0.215678	−	0.106025i	−0.0148832	−	0.00731644i
$211$	−7.37496	−	11.0374i	−0.507713	−	0.759846i	0.485738	−	0.874104i	$-0.338551\pi$
$211$	−7.37496	−	11.0374i	−0.507713	−	0.759846i	−0.993451	+	0.114258i	$0.963551\pi$
$212$	4.87166	+	2.01791i	0.334587	+	0.138590i
$213$	12.6173	+	5.22624i	0.864520	+	0.358096i
$214$	−0.424812	−	0.635776i	−0.0290395	−	0.0434608i
$215$	−18.1849	−	8.93951i	−1.24020	−	0.609669i
$216$	1.19576	+	0.798983i	0.0813613	+	0.0543639i
$217$			0.0486068i			0.00329964i
$218$	−5.87947	+	8.79925i	−0.398208	+	0.595960i
$219$	27.0025	+	11.1848i	1.82466	+	0.755798i
$220$	2.73420	+	4.72210i	0.184339	+	0.318364i
$221$	5.16328	−	7.30913i	0.347320	−	0.491665i
$222$	−13.3016	+	13.3016i	−0.892744	+	0.892744i
$223$	−5.54308	−	13.3822i	−0.371192	−	0.896138i	−0.993549	−	0.113404i	$-0.963825\pi$
$223$	−5.54308	−	13.3822i	−0.371192	−	0.896138i	0.622357	−	0.782734i	$-0.286175\pi$
$224$	−0.00818577	−	0.0411526i	−0.000546935	−	0.00274963i
$225$	4.65189	+	17.1888i	0.310126	+	1.14592i
$226$	3.38351	−	5.06378i	0.225068	−	0.336838i
$227$	−24.2962	+	16.2342i	−1.61260	+	1.07750i	−0.670631	+	0.741791i	$0.733977\pi$
$227$	−24.2962	+	16.2342i	−1.61260	+	1.07750i	−0.941965	+	0.335711i	$0.891023\pi$
$228$	−1.86834	+	9.39276i	−0.123734	+	0.622050i
$229$	8.84241	−	3.66265i	0.584323	−	0.242035i	−0.0708832	−	0.997485i	$-0.522582\pi$
$229$	8.84241	−	3.66265i	0.584323	−	0.242035i	0.655206	+	0.755450i	$0.272582\pi$
$230$	12.6650	+	9.69302i	0.835105	+	0.639139i
$231$	0.218074	−	0.145712i	0.0143482	−	0.00958717i
$232$	−4.73332	−	7.08392i	−0.310758	−	0.465082i
$233$	0.644021	+	3.23771i	0.0421912	+	0.212110i	0.996130	−	0.0878915i	$-0.0280129\pi$
$233$	0.644021	+	3.23771i	0.0421912	+	0.212110i	−0.953939	+	0.300001i	$0.903013\pi$
$234$	−5.46582	−	5.46582i	−0.357312	−	0.357312i
$235$	0.593621	−	9.23403i	0.0387236	−	0.602362i
$236$	−3.63666	+	8.77968i	−0.236727	+	0.571509i
$237$	−13.0032	−	13.0032i	−0.844648	−	0.844648i
$238$	−0.0703326	+	0.158059i	−0.00455899	+	0.0102454i
$239$			3.25093i			0.210285i	0.994457	+	0.105142i	$0.0335299\pi$
$239$			3.25093i			0.210285i	−0.994457	+	0.105142i	$0.966470\pi$
$240$	−3.48114	+	4.54850i	−0.224707	+	0.293604i
$241$	6.53894	−	1.30068i	0.421210	−	0.0837839i	0.0200657	−	0.999799i	$-0.493612\pi$
$241$	6.53894	−	1.30068i	0.421210	−	0.0837839i	0.401145	+	0.916015i	$0.368612\pi$
$242$	5.04518			0.324317
$243$	21.8189	−	4.34005i	1.39968	−	0.278414i
$244$	1.37731	−	6.92420i	0.0881731	−	0.443276i
$245$	14.0434	+	6.90359i	0.897200	+	0.441055i
$246$	0.706940	+	1.70670i	0.0450728	+	0.108815i
$247$	3.10531	−	7.49687i	0.197586	−	0.477015i
$248$	1.13618	+	0.226000i	0.0721475	+	0.0143510i
$249$	−42.4668	−	8.44718i	−2.69123	−	0.535318i
$250$	−10.9572	+	2.22235i	−0.692997	+	0.140554i
$251$	−3.57690	+	3.57690i	−0.225772	+	0.225772i	−0.810924	−	0.585152i	$-0.801035\pi$
$251$	−3.57690	+	3.57690i	−0.225772	+	0.225772i	0.585152	+	0.810924i	$0.301035\pi$
$252$	0.124250	+	0.0830209i	0.00782699	+	0.00522983i
$253$	−16.0800	+	6.66056i	−1.01094	+	0.418746i
$254$	−13.3456			−0.837378
$255$	22.5436	−	7.03613i	1.41174	−	0.440620i
$256$	−1.00000			−0.0625000
$257$	12.9376	−	5.35892i	0.807025	−	0.334281i	0.0592584	−	0.998243i	$-0.481126\pi$
$257$	12.9376	−	5.35892i	0.807025	−	0.334281i	0.747766	+	0.663962i	$0.231126\pi$
$258$	19.3007	+	12.8963i	1.20161	+	0.802889i
$259$	−0.217885	+	0.217885i	−0.0135387	+	0.0135387i
$260$	3.64484	−	3.20452i	0.226043	−	0.198736i
$261$	29.7595	+	5.91954i	1.84207	+	0.366410i
$262$	−3.47670	−	0.691558i	−0.214791	−	0.0427246i
$263$	−0.832416	+	2.00963i	−0.0513289	+	0.123919i	−0.947464	−	0.319862i	$-0.896363\pi$
$263$	−0.832416	+	2.00963i	−0.0513289	+	0.123919i	0.896135	+	0.443781i	$0.146363\pi$
$264$	−2.39207	−	5.77496i	−0.147222	−	0.355424i
$265$	−3.80403	−	11.1604i	−0.233680	−	0.685577i
$266$	−0.0306041	+	0.153857i	−0.00187646	+	0.00943358i
$267$	41.0275	−	8.16088i	2.51084	−	0.499438i
$268$	15.5962			0.952689
$269$	26.3314	−	5.23765i	1.60546	−	0.319345i	0.690635	−	0.723203i	$-0.257331\pi$
$269$	26.3314	−	5.23765i	1.60546	−	0.319345i	0.914822	+	0.403858i	$0.132331\pi$
$270$	−0.423732	−	3.18772i	−0.0257875	−	0.193998i
$271$			23.7642i			1.44358i	0.692115	+	0.721788i	$0.256679\pi$
$271$			23.7642i			1.44358i	−0.692115	+	0.721788i	$0.743321\pi$
$272$	3.36760	+	2.37892i	0.204191	+	0.144243i
$273$	−0.164950	−	0.164950i	−0.00998325	−	0.00998325i
$274$	5.36748	−	12.9582i	0.324261	−	0.782836i
$275$	3.89302	−	11.5635i	0.234758	−	0.697306i
$276$	−12.9188	−	12.9188i	−0.777618	−	0.777618i
$277$	1.98592	+	9.98392i	0.119323	+	0.599876i	0.993458	+	0.114194i	$0.0364285\pi$
$277$	1.98592	+	9.98392i	0.119323	+	0.599876i	−0.874136	+	0.485682i	$0.838571\pi$
$278$	−2.34351	−	3.50731i	−0.140554	−	0.210354i
$279$	−3.43040	+	2.29212i	−0.205372	+	0.137225i
$280$	−0.0570225	+	0.0745061i	−0.00340775	+	0.00445259i
$281$	−7.97842	+	3.30477i	−0.475953	+	0.197146i	−0.607747	−	0.794131i	$-0.707926\pi$
$281$	−7.97842	+	3.30477i	−0.475953	+	0.197146i	0.131794	+	0.991277i	$0.457926\pi$
$282$	−2.06794	+	10.3962i	−0.123144	+	0.619086i
$283$	−5.81872	+	3.88795i	−0.345887	+	0.231114i	−0.716363	−	0.697728i	$-0.754195\pi$
$283$	−5.81872	+	3.88795i	−0.345887	+	0.231114i	0.370476	+	0.928842i	$0.379195\pi$
$284$	2.96203	−	4.43299i	0.175764	−	0.263050i
$285$	18.5319	−	10.7304i	1.09774	−	0.635612i
$286$	1.03327	+	5.19461i	0.0610987	+	0.307164i
$287$	0.0115800	+	0.0279565i	0.000683543	+	0.00165022i
$288$	2.51831	−	2.51831i	0.148393	−	0.148393i
$289$	−5.68144	−	16.0225i	−0.334202	−	0.942501i
$290$	−4.90765	+	18.4078i	−0.288187	+	1.08094i
$291$	−9.71159	−	4.02267i	−0.569303	−	0.235813i
$292$	6.33910	−	9.48713i	0.370968	−	0.555192i
$293$			33.0521i			1.93092i	0.260542	+	0.965462i	$0.416099\pi$
$293$			33.0521i			1.93092i	−0.260542	+	0.965462i	$0.583901\pi$
$294$	−14.9051	−	9.95926i	−0.869282	−	0.580836i
$295$	20.1132	−	6.85561i	1.17104	−	0.399149i
$296$	4.07998	+	6.10612i	0.237144	+	0.354911i
$297$	3.24226	+	1.34299i	0.188135	+	0.0779281i
$298$	−0.998603	−	0.413635i	−0.0578475	−	0.0239612i
$299$	8.60044	+	12.8715i	0.497376	+	0.744376i
$300$	12.7781	−	0.869659i	0.737743	−	0.0502098i
$301$	0.316153	+	0.211247i	0.0182228	+	0.0121761i
$302$		−	12.9985i		−	0.747980i
$303$	1.77362	−	2.65441i	0.101892	−	0.152492i
$304$	3.45410	+	1.43074i	0.198106	+	0.0820583i
$305$	−13.6614	+	7.91026i	−0.782252	+	0.452940i
$306$	−14.4716	+	2.48979i	−0.827284	+	0.142332i
$307$	−2.40170	+	2.40170i	−0.137072	+	0.137072i	−0.772314	−	0.635241i	$-0.780901\pi$
$307$	−2.40170	+	2.40170i	−0.137072	+	0.137072i	0.635241	+	0.772314i	$0.280901\pi$
$308$	−0.0391830	−	0.0945961i	−0.00223266	−	0.00539011i
$309$	4.83631	+	24.3138i	0.275128	+	1.38316i
$310$	−1.29798	−	2.24168i	−0.0737204	−	0.127319i
$311$	11.7323	−	17.5586i	0.665276	−	0.995655i	−0.333327	−	0.942811i	$-0.608171\pi$
$311$	11.7323	−	17.5586i	0.665276	−	0.995655i	0.998603	−	0.0528442i	$-0.0168287\pi$
$312$	−4.62265	+	3.08876i	−0.261706	+	0.174866i
$313$	6.40363	−	32.1932i	0.361954	−	1.81967i	−0.185277	−	0.982686i	$-0.559318\pi$
$313$	6.40363	−	32.1932i	0.361954	−	1.81967i	0.547231	−	0.836981i	$-0.315682\pi$
$314$	6.45576	−	2.67407i	0.364320	−	0.150906i
$315$	−0.0440293	−	0.331230i	−0.00248077	−	0.0186627i
$316$	−5.96914	+	3.98845i	−0.335790	+	0.224368i
$317$	17.3586	+	25.9790i	0.974957	+	1.45913i	0.886326	+	0.463061i	$0.153249\pi$
$317$	17.3586	+	25.9790i	0.974957	+	1.45913i	0.0886306	+	0.996065i	$0.471751\pi$
$318$	2.63510	+	13.2475i	0.147769	+	0.742884i
$319$	−14.7010	−	14.7010i	−0.823097	−	0.823097i
$320$	1.47645	+	1.67932i	0.0825358	+	0.0938767i
$321$	0.749543	−	1.80956i	0.0418354	−	0.101000i
$322$	−0.211614	−	0.211614i	−0.0117928	−	0.0117928i
$323$	−8.22842	−	13.0352i	−0.457841	−	0.725297i
$324$		−	7.00049i		−	0.388916i
$325$	−10.7628	−	1.38954i	−0.597013	−	0.0770779i
$326$	−10.6693	+	2.12225i	−0.590917	+	0.117541i
$327$	−27.1081			−1.49908
$328$	0.707322	−	0.140695i	0.0390553	−	0.00776859i
$329$	−0.0338736	+	0.170294i	−0.00186751	+	0.00938862i
$330$	−6.16624	+	12.5435i	−0.339440	+	0.690494i
$331$	−3.75693	−	9.07002i	−0.206499	−	0.498533i	0.786368	−	0.617758i	$-0.211959\pi$
$331$	−3.75693	−	9.07002i	−0.206499	−	0.498533i	−0.992867	+	0.119225i	$0.961959\pi$
$332$	−6.46869	+	15.6168i	−0.355015	+	0.857083i
$333$	−25.6518	−	5.10246i	−1.40571	−	0.279613i
$334$	−3.25081	−	0.646627i	−0.177877	−	0.0353818i
$335$	−23.0269	−	26.1909i	−1.25810	−	1.43096i
$336$	0.0759990	−	0.0759990i	0.00414609	−	0.00414609i
$337$	−12.5920	−	8.41370i	−0.685929	−	0.458323i	0.163141	−	0.986603i	$-0.447837\pi$
$337$	−12.5920	−	8.41370i	−0.685929	−	0.458323i	−0.849071	+	0.528279i	$0.822837\pi$
$338$	−7.65827	+	3.17216i	−0.416555	+	0.172543i
$339$	15.6001			0.847282
$340$	−0.977108	−	9.16762i	−0.0529911	−	0.497184i
$341$	2.82688			0.153084
$342$	−12.3016	+	5.09547i	−0.665192	+	0.275531i
$343$	−0.488364	−	0.326314i	−0.0263692	−	0.0176193i
$344$	6.40785	−	6.40785i	0.345488	−	0.345488i
$345$	−2.62086	+	40.7686i	−0.141102	+	2.19491i
$346$	−23.2606	−	4.62681i	−1.25050	−	0.248739i
$347$	−3.17804	−	0.632152i	−0.170606	−	0.0339357i	0.109048	−	0.994036i	$-0.465220\pi$
$347$	−3.17804	−	0.632152i	−0.170606	−	0.0339357i	−0.279654	+	0.960101i	$0.590220\pi$
$348$	8.35153	−	20.1624i	0.447689	−	1.08082i
$349$	1.97926	+	4.77837i	0.105948	+	0.255780i	0.967959	−	0.251109i	$-0.0807953\pi$
$349$	1.97926	+	4.77837i	0.105948	+	0.255780i	−0.862011	+	0.506889i	$0.830795\pi$
$350$	0.209310	−	0.0142454i	0.0111881	−	0.000761447i
$351$	0.608947	−	3.06138i	0.0325032	−	0.163405i
$352$	−2.39336	+	0.476069i	−0.127567	+	0.0253746i
$353$	−22.4791			−1.19644			−0.598220	−	0.801332i	$-0.704125\pi$
$353$	−22.4791			−1.19644			−0.598220	+	0.801332i	$0.704125\pi$
$354$	−23.8746	+	4.74896i	−1.26892	+	0.252404i
$355$	−11.8177	+	1.57088i	−0.627217	+	0.0833737i
$356$		−	16.3306i		−	0.865520i
$357$	−0.436730	+	0.0751383i	−0.0231142	+	0.00397674i
$358$	−1.98674	−	1.98674i	−0.105002	−	0.105002i
$359$	−12.8019	+	30.9065i	−0.675658	+	1.63118i	0.0961812	+	0.995364i	$0.469337\pi$
$359$	−12.8019	+	30.9065i	−0.675658	+	1.63118i	−0.771839	+	0.635818i	$0.780663\pi$
$360$	−7.94720	−	0.510896i	−0.418854	−	0.0269266i
$361$	3.55122	+	3.55122i	0.186906	+	0.186906i
$362$	2.12484	+	10.6823i	0.111679	+	0.561449i
$363$	7.17985	+	10.7454i	0.376844	+	0.563987i
$364$	−0.0757208	+	0.0505950i	−0.00396885	+	0.00265190i
$365$	−25.2912	+	3.36187i	−1.32380	+	0.175969i
$366$	16.7075	−	6.92045i	0.873312	−	0.361738i
$367$	1.86891	−	9.39563i	0.0975562	−	0.490448i	−0.900856	−	0.434118i	$-0.857060\pi$
$367$	1.86891	−	9.39563i	0.0975562	−	0.490448i	0.998412	−	0.0563300i	$-0.0179399\pi$
$368$	−5.93039	+	3.96256i	−0.309143	+	0.206563i
$369$	−1.42695	+	2.13557i	−0.0742838	+	0.111174i
$370$	4.23025	−	15.8669i	0.219920	−	0.824882i
$371$	0.0431639	+	0.217000i	0.00224096	+	0.0112661i
$372$	1.13557	+	2.74150i	0.0588763	+	0.142140i
$373$	4.49749	−	4.49749i	0.232871	−	0.232871i	−0.581019	−	0.813890i	$-0.697346\pi$
$373$	4.49749	−	4.49749i	0.232871	−	0.232871i	0.813890	+	0.581019i	$0.197346\pi$
$374$	9.19241	+	4.09041i	0.475328	+	0.211510i
$375$	−20.3266	−	20.1745i	−1.04966	−	1.04180i
$376$	3.82312	+	1.58359i	0.197162	+	0.0816672i
$377$	−10.2733	+	15.3751i	−0.529103	+	0.791859i
$378$			0.0603424i			0.00310368i
$379$	−8.45523	−	5.64960i	−0.434316	−	0.290201i	0.319129	−	0.947711i	$-0.396610\pi$
$379$	−8.45523	−	5.64960i	−0.434316	−	0.290201i	−0.753445	+	0.657511i	$0.771610\pi$
$380$	−2.69713	−	7.91294i	−0.138360	−	0.405925i
$381$	−18.9923	−	28.4239i	−0.973004	−	1.45620i
$382$	−17.6763	−	7.32178i	−0.904400	−	0.374615i
$383$	1.74137	+	0.721299i	0.0889799	+	0.0368567i	0.426729	−	0.904379i	$-0.359666\pi$
$383$	1.74137	+	0.721299i	0.0889799	+	0.0368567i	−0.337750	+	0.941236i	$0.609666\pi$
$384$	−1.42311	−	2.12983i	−0.0726228	−	0.108688i
$385$	−0.101005	+	0.205467i	−0.00514771	+	0.0104716i
$386$	−0.733561	−	0.490150i	−0.0373373	−	0.0249480i
$387$			32.2740i			1.64058i
$388$	−2.27989	+	3.41210i	−0.115744	+	0.173223i
$389$	7.74116	+	3.20649i	0.392492	+	0.162576i	0.570197	−	0.821508i	$-0.306867\pi$
$389$	7.74116	+	3.20649i	0.392492	+	0.162576i	−0.177704	+	0.984084i	$0.556867\pi$
$390$	12.0121	+	3.20252i	0.608256	+	0.162166i
$391$	29.3978	+	0.763634i	1.48671	+	0.0386186i
$392$	−4.94850	+	4.94850i	−0.249937	+	0.249937i
$393$	−3.47482	−	8.38895i	−0.175281	−	0.423167i
$394$	1.96862	+	9.89694i	0.0991778	+	0.498600i
$395$	15.5110	+	4.13535i	0.780442	+	0.208072i
$396$	4.82834	−	7.22613i	0.242633	−	0.363127i
$397$	13.9557	−	9.32491i	0.700417	−	0.468004i	−0.153678	−	0.988121i	$-0.549112\pi$
$397$	13.9557	−	9.32491i	0.700417	−	0.468004i	0.854095	+	0.520117i	$0.174112\pi$
$398$	−0.0430965	+	0.216661i	−0.00216023	+	0.0108602i
$399$	−0.371243	+	0.153774i	−0.0185854	+	0.00769832i
$400$	0.640216	−	4.95884i	0.0320108	−	0.247942i
$401$	27.0871	−	18.0990i	1.35267	−	0.903822i	0.353170	−	0.935559i	$-0.385104\pi$
$401$	27.0871	−	18.0990i	1.35267	−	0.903822i	0.999496	+	0.0317369i	$0.0101039\pi$
$402$	22.1951	+	33.2173i	1.10699	+	1.65673i
$403$	−0.490517	−	2.46599i	−0.0244344	−	0.122840i
$404$	−0.881267	−	0.881267i	−0.0438447	−	0.0438447i
$405$	−11.7560	+	10.3358i	−0.584162	+	0.513592i
$406$	0.136801	−	0.330268i	0.00678934	−	0.0163909i
$407$	12.6718	+	12.6718i	0.628117	+	0.628117i
$408$	−0.274251	+	10.5579i	−0.0135774	+	0.522694i
$409$		−	25.7330i		−	1.27241i	−0.771519	−	0.636207i	$-0.780503\pi$
$409$		−	25.7330i		−	1.27241i	0.771519	−	0.636207i	$-0.219497\pi$
$410$	−1.28059	−	0.980090i	−0.0632441	−	0.0484032i
$411$	35.2374	−	7.00916i	1.73813	−	0.345736i
$412$	9.67785			0.476794
$413$	−0.391076	+	0.0777898i	−0.0192436	+	0.00382779i
$414$	4.95561	−	24.9135i	0.243555	−	1.22443i
$415$	35.7762	−	12.1944i	1.75619	−	0.598598i
$416$	0.830586	+	2.00521i	0.0407228	+	0.0983136i
$417$	4.13491	−	9.98257i	0.202488	−	0.488848i
$418$	8.94804	+	1.77988i	0.437663	+	0.0870566i
$419$	23.5187	+	4.67816i	1.14896	+	0.228543i	0.732603	−	0.680656i	$-0.238305\pi$
$419$	23.5187	+	4.67816i	1.14896	+	0.228543i	0.416361	+	0.909199i	$0.363305\pi$
$420$	−0.239835	−	0.0154181i	−0.0117027	−	0.000752325i
$421$	7.63147	−	7.63147i	0.371935	−	0.371935i	−0.496246	−	0.868182i	$-0.665289\pi$
$421$	7.63147	−	7.63147i	0.371935	−	0.371935i	0.868182	+	0.496246i	$0.165289\pi$
$422$	−11.0374	−	7.37496i	−0.537292	−	0.359007i
$423$	−13.6158	+	5.63984i	−0.662022	+	0.274218i
$424$	5.27304			0.256082
$425$	−13.9527	+	15.1764i	−0.676805	+	0.736162i
$426$	13.6568			0.661675
$427$	0.273675	−	0.113360i	0.0132440	−	0.00548586i
$428$	−0.635776	−	0.424812i	−0.0307314	−	0.0205341i
$429$	−9.59320	+	9.59320i	−0.463164	+	0.463164i
$430$	−20.2217	−	1.29997i	−0.975175	−	0.0626903i
$431$	−9.64284	−	1.91808i	−0.464479	−	0.0923906i	−0.0426974	−	0.999088i	$-0.513595\pi$
$431$	−9.64284	−	1.91808i	−0.464479	−	0.0923906i	−0.421782	+	0.906697i	$0.638595\pi$
$432$	1.41050	+	0.280566i	0.0678626	+	0.0134987i
$433$	0.404025	−	0.975402i	0.0194162	−	0.0468748i	−0.913874	−	0.405998i	$-0.866924\pi$
$433$	0.404025	−	0.975402i	0.0194162	−	0.0468748i	0.933290	+	0.359123i	$0.116924\pi$
$434$	0.0186010	+	0.0449068i	0.000892877	+	0.00215559i
$435$	−46.1896	+	15.7438i	−2.21462	+	0.754857i
$436$	−2.06460	+	10.3794i	−0.0988762	+	0.497084i
$437$	26.1535	−	5.20226i	1.25109	−	0.248858i
$438$	29.2273			1.39653
$439$	−1.72130	+	0.342388i	−0.0821533	+	0.0163413i	−0.235996	−	0.971754i	$-0.575835\pi$
$439$	−1.72130	+	0.342388i	−0.0821533	+	0.0163413i	0.153842	+	0.988095i	$0.450835\pi$
$440$	4.33314	+	3.31632i	0.206574	+	0.158099i
$441$		−	24.9238i		−	1.18685i
$442$	1.97317	−	8.72865i	0.0938540	−	0.415180i
$443$	17.4487	+	17.4487i	0.829013	+	0.829013i	0.987380	−	0.158367i	$-0.0506230\pi$
$443$	17.4487	+	17.4487i	0.829013	+	0.829013i	−0.158367	+	0.987380i	$0.550623\pi$
$444$	−7.19876	+	17.3794i	−0.341638	+	0.824787i
$445$	−27.4242	+	24.1112i	−1.30003	+	1.14298i
$446$	−10.2423	−	10.2423i	−0.484986	−	0.484986i
$447$	−0.540148	−	2.71551i	−0.0255481	−	0.128439i
$448$	−0.0233111	−	0.0348875i	−0.00110135	−	0.00164828i
$449$	−3.28010	+	2.19169i	−0.154797	+	0.103432i	−0.630557	−	0.776143i	$-0.717173\pi$
$449$	−3.28010	+	2.19169i	−0.154797	+	0.103432i	0.475759	+	0.879576i	$0.342173\pi$
$450$	10.8757	+	14.1002i	0.512684	+	0.664689i
$451$	1.62590	−	0.673468i	0.0765605	−	0.0317124i
$452$	1.18813	−	5.97314i	0.0558850	−	0.280953i
$453$	27.6847	−	18.4983i	1.30074	−	0.869127i
$454$	−16.2342	+	24.2962i	−0.761909	+	1.14028i
$455$	0.196763	+	0.0524585i	0.00922438	+	0.00245929i
$456$	1.86834	+	9.39276i	0.0874928	+	0.439856i
$457$	−7.70665	−	18.6055i	−0.360502	−	0.870328i	−0.995227	−	0.0975901i	$-0.968887\pi$
$457$	−7.70665	−	18.6055i	−0.360502	−	0.870328i	0.634725	−	0.772738i	$-0.281113\pi$
$458$	6.76769	−	6.76769i	0.316233	−	0.316233i
$459$	−4.08255	−	4.30030i	−0.190557	−	0.200721i
$460$	15.4103	+	4.10850i	0.718508	+	0.191560i
$461$	−14.0354	−	5.81365i	−0.653693	−	0.270769i	0.0310887	−	0.999517i	$-0.490103\pi$
$461$	−14.0354	−	5.81365i	−0.653693	−	0.270769i	−0.684782	+	0.728748i	$0.740103\pi$
$462$	0.145712	−	0.218074i	0.00677915	−	0.0101457i
$463$			4.79079i			0.222647i	0.993784	+	0.111323i	$0.0355090\pi$
$463$			4.79079i			0.222647i	−0.993784	+	0.111323i	$0.964491\pi$
$464$	−7.08392	−	4.73332i	−0.328863	−	0.219739i
$465$	2.92724	−	5.95465i	0.135748	−	0.276140i
$466$	1.83402	+	2.74480i	0.0849592	+	0.127150i
$467$	−14.1041	−	5.84209i	−0.652658	−	0.270340i	0.0316875	−	0.999498i	$-0.489912\pi$
$467$	−14.1041	−	5.84209i	−0.652658	−	0.270340i	−0.684345	+	0.729158i	$0.739912\pi$
$468$	−7.14143	−	2.95808i	−0.330113	−	0.136737i
$469$	0.363564	+	0.544112i	0.0167878	+	0.0251248i
$470$	−2.98528	−	8.75830i	−0.137701	−	0.403990i
$471$	14.8826	+	9.94422i	0.685753	+	0.458205i
$472$			9.50306i			0.437414i
$473$	12.2857	−	18.3869i	0.564898	−	0.845429i
$474$	−16.9895	−	7.03727i	−0.780353	−	0.323233i
$475$	−9.30616	+	16.2124i	−0.426996	+	0.743874i
$476$	−0.00449234	+	0.172942i	−0.000205906	+	0.00792681i
$477$	−13.2792	+	13.2792i	−0.608012	+	0.608012i
$478$	1.24408	+	3.00347i	0.0569027	+	0.137375i
$479$	4.20902	+	21.1602i	0.192315	+	0.966834i	0.949532	+	0.313670i	$0.101559\pi$
$479$	4.20902	+	21.1602i	0.192315	+	0.966834i	−0.757217	+	0.653164i	$0.773441\pi$
$480$	−1.47552	+	5.53444i	−0.0673481	+	0.252611i
$481$	8.85529	−	13.2529i	0.403767	−	0.604279i
$482$	5.54345	−	3.70401i	0.252497	−	0.168713i
$483$	0.149553	−	0.751854i	0.00680490	−	0.0342106i
$484$	4.66114	−	1.93071i	0.211870	−	0.0877595i
$485$	9.09614	−	1.20912i	0.413034	−	0.0549032i
$486$	18.4972	−	12.3594i	0.839048	−	0.560634i
$487$	10.9420	+	16.3758i	0.495829	+	0.742060i	0.992010	−	0.126159i	$-0.0402649\pi$
$487$	10.9420	+	16.3758i	0.495829	+	0.742060i	−0.496181	+	0.868219i	$0.665265\pi$
$488$	−1.37731	−	6.92420i	−0.0623478	−	0.313444i
$489$	−19.7036	−	19.7036i	−0.891028	−	0.891028i
$490$	15.6163	+	1.00391i	0.705473	+	0.0453521i
$491$	−4.17779	+	10.0861i	−0.188541	+	0.455179i	−0.989679	−	0.143301i	$-0.954228\pi$
$491$	−4.17779	+	10.0861i	−0.188541	+	0.455179i	0.801138	+	0.598480i	$0.204228\pi$
$492$	1.30625	+	1.30625i	0.0588905	+	0.0588905i
$493$	12.5956	+	32.7920i	0.567276	+	1.47688i
$494$		−	8.11456i		−	0.365091i
$495$	−19.2637	+	2.56066i	−0.865841	+	0.115093i
$496$	1.13618	−	0.226000i	0.0510160	−	0.0101477i
$497$	0.223704			0.0100345
$498$	−42.4668	+	8.44718i	−1.90298	+	0.378527i
$499$	−2.05219	+	10.3170i	−0.0918685	+	0.461854i	0.907277	+	0.420533i	$0.138157\pi$
$499$	−2.05219	+	10.3170i	−0.0918685	+	0.461854i	−0.999146	+	0.0413215i	$0.986843\pi$
$500$	−9.27272	+	6.24634i	−0.414689	+	0.279345i
$501$	−3.24905	−	7.84391i	−0.145157	−	0.350440i
$502$	−1.93580	+	4.67345i	−0.0863992	+	0.208586i
$503$	23.5465	+	4.68369i	1.04989	+	0.208836i	0.689738	−	0.724059i	$-0.257726\pi$
$503$	23.5465	+	4.68369i	1.04989	+	0.208836i	0.360149	+	0.932895i	$0.382726\pi$
$504$	0.146562	+	0.0291531i	0.00652841	+	0.00129858i
$505$	−0.178784	+	2.78107i	−0.00795580	+	0.123756i
$506$	−12.3071	+	12.3071i	−0.547117	+	0.547117i
$507$	−17.6547	−	11.7965i	−0.784074	−	0.523901i
$508$	−12.3297	+	5.10715i	−0.547044	+	0.226593i
$509$	25.3539			1.12379			0.561895	−	0.827209i	$-0.310072\pi$
$509$	25.3539			1.12379			0.561895	+	0.827209i	$0.310072\pi$
$510$	18.1350	−	15.1276i	0.803030	−	0.669862i
$511$	0.478754			0.0211788
$512$	−0.923880	+	0.382683i	−0.0408301	+	0.0169124i
$513$	−4.47059	−	2.98715i	−0.197381	−	0.131886i
$514$	9.90200	−	9.90200i	0.436759	−	0.436759i
$515$	−14.2888	−	16.2522i	−0.629641	−	0.716157i
$516$	22.7667	+	4.52858i	1.00225	+	0.199360i
$517$	9.90399	+	1.97003i	0.435577	+	0.0866416i
$518$	−0.117919	+	0.284681i	−0.00518104	+	0.0125081i
$519$	−23.2480	−	56.1256i	−1.02047	−	2.46364i
$520$	2.14107	−	4.35541i	0.0938923	−	0.190997i
$521$	−7.91442	+	39.7885i	−0.346737	+	1.74316i	0.276391	+	0.961045i	$0.410861\pi$
$521$	−7.91442	+	39.7885i	−0.346737	+	1.74316i	−0.623128	+	0.782120i	$0.714139\pi$
$522$	29.7595	−	5.91954i	1.30254	−	0.259091i
$523$	6.98382			0.305381			0.152690	−	0.988274i	$-0.451206\pi$
$523$	6.98382			0.305381			0.152690	+	0.988274i	$0.451206\pi$
$524$	−3.47670	+	0.691558i	−0.151880	+	0.0302109i
$525$	0.328212	+	0.425523i	0.0143243	+	0.0185714i
$526$			2.17521i			0.0948435i
$527$	−4.36383	−	1.94181i	−0.190092	−	0.0845864i
$528$	−4.41996	−	4.41996i	−0.192354	−	0.192354i
$529$	−10.6659	+	25.7498i	−0.463735	+	1.11955i
$530$	−7.78536	−	8.85512i	−0.338175	−	0.384642i
$531$	−23.9317	−	23.9317i	−1.03855	−	1.03855i
$532$	0.0306041	+	0.153857i	0.00132685	+	0.00667055i
$533$	−0.869616	−	1.30147i	−0.0376672	−	0.0563730i
$534$	34.7814	−	23.2402i	1.50514	−	1.00570i
$535$	0.225295	+	1.69488i	0.00974033	+	0.0732761i
$536$	14.4090	−	5.96840i	0.622374	−	0.257796i
$537$	1.40408	−	7.05878i	0.0605904	−	0.304609i
$538$	22.3227	−	14.9156i	0.962401	−	0.643056i
$539$	−9.48772	+	14.1994i	−0.408665	+	0.611611i
$540$	−1.61137	−	2.78291i	−0.0693421	−	0.119758i
$541$	−2.94451	−	14.8030i	−0.126594	−	0.636432i	−0.991025	−	0.133680i	$-0.957321\pi$
$541$	−2.94451	−	14.8030i	−0.126594	−	0.636432i	0.864430	−	0.502753i	$-0.167679\pi$
$542$	9.09418	+	21.9553i	0.390629	+	0.943061i
$543$	−19.7276	+	19.7276i	−0.846593	+	0.846593i
$544$	4.02163	+	0.909115i	0.172426	+	0.0389780i
$545$	20.4786	−	11.8575i	0.877207	−	0.507921i
$546$	−0.215518	−	0.0892705i	−0.00922332	−	0.00382042i
$547$	−2.34789	+	3.51387i	−0.100389	+	0.150242i	−0.878263	−	0.478177i	$-0.841298\pi$
$547$	−2.34789	+	3.51387i	−0.100389	+	0.150242i	0.777875	+	0.628419i	$0.216298\pi$
$548$		−	14.0259i		−	0.599157i
$549$	20.9058	+	13.9688i	0.892238	+	0.596174i
$550$	−0.828484	−	12.1731i	−0.0353267	−	0.519062i
$551$	17.6964	+	26.4846i	0.753893	+	1.12828i
$552$	−16.8792	−	6.99159i	−0.718426	−	0.297582i
$553$	−0.278294	−	0.115273i	−0.0118343	−	0.00490192i
$554$	5.65544	+	8.46396i	0.240276	+	0.359599i
$555$	39.8140	−	13.5707i	1.69001	−	0.576042i
$556$	−3.50731	−	2.34351i	−0.148743	−	0.0993869i
$557$			11.6947i			0.495521i	0.968821	+	0.247761i	$0.0796947\pi$
$557$			11.6947i			0.495521i	−0.968821	+	0.247761i	$0.920305\pi$
$558$	−2.29212	+	3.43040i	−0.0970331	+	0.145220i
$559$	−18.1714	−	7.52683i	−0.768567	−	0.318351i
$560$	−0.0241697	+	0.0906563i	−0.00102135	+	0.00383093i
$561$	4.36991	+	25.3994i	0.184498	+	1.07236i
$562$	−6.10642	+	6.10642i	−0.257584	+	0.257584i
$563$	14.0670	+	33.9608i	0.592854	+	1.43128i	0.880734	+	0.473611i	$0.157050\pi$
$563$	14.0670	+	33.9608i	0.592854	+	1.43128i	−0.287880	+	0.957666i	$0.592950\pi$
$564$	2.06794	+	10.3962i	0.0870758	+	0.437760i
$565$	−11.7850	+	6.82376i	−0.495799	+	0.287078i
$566$	−3.88795	+	5.81872i	−0.163423	+	0.244579i
$567$	0.244230	−	0.163189i	0.0102567	−	0.00685330i
$568$	1.04013	−	5.22907i	0.0436427	−	0.219407i
$569$	−12.1903	+	5.04937i	−0.511043	+	0.211681i	−0.623277	−	0.782001i	$-0.714199\pi$
$569$	−12.1903	+	5.04937i	−0.511043	+	0.211681i	0.112235	+	0.993682i	$0.464199\pi$
$570$	13.0149	−	17.0054i	0.545135	−	0.712279i
$571$	−19.7618	+	13.2044i	−0.827008	+	0.552589i	−0.895499	−	0.445063i	$-0.853181\pi$
$571$	−19.7618	+	13.2044i	−0.827008	+	0.552589i	0.0684917	+	0.997652i	$0.478181\pi$
$572$	2.94251	+	4.40378i	0.123033	+	0.184131i
$573$	−9.56119	−	48.0674i	−0.399425	−	2.00804i
$574$	0.0213970	+	0.0213970i	0.000893092	+	0.000893092i
$575$	−15.8530	−	31.9447i	−0.661115	−	1.33219i
$576$	1.36290	−	3.29034i	0.0567876	−	0.137097i
$577$	−6.38096	−	6.38096i	−0.265643	−	0.265643i	0.561699	−	0.827342i	$-0.310148\pi$
$577$	−6.38096	−	6.38096i	−0.265643	−	0.265643i	−0.827342	+	0.561699i	$0.810148\pi$
$578$	−11.3805	−	12.6287i	−0.473367	−	0.525284i
$579$		−	2.25990i		−	0.0939182i
$580$	2.51027	+	18.8846i	0.104233	+	0.784142i
$581$	−0.695624	+	0.138368i	−0.0288593	+	0.00574048i
$582$	−10.5117			−0.435726
$583$	12.6203	−	2.51033i	0.522679	−	0.103967i
$584$	2.22600	−	11.1908i	0.0921124	−	0.463080i
$585$	5.57639	+	16.3602i	0.230555	+	0.676410i
$586$	12.6485	+	30.5362i	0.522505	+	1.26144i
$587$	8.31106	−	20.0647i	0.343034	−	0.828158i	−0.654371	−	0.756173i	$-0.727067\pi$
$587$	8.31106	−	20.0647i	0.343034	−	0.828158i	0.997406	−	0.0719847i	$-0.0229333\pi$
$588$	−17.5818	−	3.49723i	−0.725059	−	0.144223i
$589$	−4.24782	−	0.844945i	−0.175029	−	0.0348153i
$590$	15.9587	−	14.0307i	0.657007	−	0.577637i
$591$	−18.2773	+	18.2773i	−0.751826	+	0.751826i
$592$	6.10612	+	4.07998i	0.250960	+	0.167686i
$593$	25.9568	−	10.7516i	1.06592	−	0.441517i	0.220368	−	0.975417i	$-0.429274\pi$
$593$	25.9568	−	10.7516i	1.06592	−	0.441517i	0.845548	+	0.533900i	$0.179274\pi$
$594$	3.50940			0.143992
$595$	0.297058	−	0.247796i	0.0121782	−	0.0101587i
$596$	−1.08088			−0.0442746
$597$	−0.522783	+	0.216544i	−0.0213961	+	0.00886255i
$598$	12.8715	+	8.60044i	0.526353	+	0.351698i
$599$	−3.04934	+	3.04934i	−0.124593	+	0.124593i	−0.766654	−	0.642061i	$-0.778080\pi$
$599$	−3.04934	+	3.04934i	−0.124593	+	0.124593i	0.642061	+	0.766654i	$0.278080\pi$
$600$	11.4726	−	5.69342i	0.468367	−	0.232433i
$601$	−12.0448	−	2.39585i	−0.491317	−	0.0977289i	−0.0567866	−	0.998386i	$-0.518085\pi$
$601$	−12.0448	−	2.39585i	−0.491317	−	0.0977289i	−0.434530	+	0.900657i	$0.643085\pi$
$602$	0.372928	+	0.0741800i	0.0151994	+	0.00302335i
$603$	−21.2561	+	51.3167i	−0.865614	+	2.08978i
$604$	−4.97432	−	12.0091i	−0.202402	−	0.488642i
$605$	−10.1242	−	4.97695i	−0.411607	−	0.202342i
$606$	0.622813	−	3.13109i	0.0253000	−	0.127192i
$607$	−14.1007	+	2.80480i	−0.572328	+	0.113843i	−0.472766	−	0.881188i	$-0.656744\pi$
$607$	−14.1007	+	2.80480i	−0.572328	+	0.113843i	−0.0995626	+	0.995031i	$0.531744\pi$
$608$	3.73869			0.151624
$609$	0.898099	−	0.178643i	0.0363928	−	0.00723898i
$610$	−9.59441	+	12.5361i	−0.388466	+	0.507573i
$611$		−	8.98146i		−	0.363351i
$612$	−12.4172	+	7.83829i	−0.501934	+	0.316844i
$613$	2.17490	+	2.17490i	0.0878433	+	0.0878433i	0.749663	−	0.661820i	$-0.230216\pi$
$613$	2.17490	+	2.17490i	0.0878433	+	0.0878433i	−0.661820	+	0.749663i	$0.730216\pi$
$614$	−1.29979	+	3.13798i	−0.0524554	+	0.126638i
$615$	0.265002	−	4.12223i	0.0106859	−	0.166224i
$616$	−0.0724007	−	0.0724007i	−0.00291711	−	0.00291711i
$617$	−2.42495	−	12.1910i	−0.0976247	−	0.490793i	−0.998402	−	0.0565112i	$-0.982002\pi$
$617$	−2.42495	−	12.1910i	−0.0976247	−	0.490793i	0.900777	−	0.434281i	$-0.142998\pi$
$618$	13.7726	+	20.6122i	0.554017	+	0.829145i
$619$	38.7236	−	25.8743i	1.55643	−	1.03998i	0.582588	−	0.812768i	$-0.302040\pi$
$619$	38.7236	−	25.8743i	1.55643	−	1.03998i	0.973846	−	0.227208i	$-0.0729597\pi$
$620$	−2.05703	−	1.57433i	−0.0826124	−	0.0632266i
$621$	9.47656	−	3.92532i	0.380281	−	0.157518i
$622$	4.11982	−	20.7118i	0.165190	−	0.830466i
$623$	0.569734	−	0.380684i	0.0228259	−	0.0152518i
$624$	−3.08876	+	4.62265i	−0.123649	+	0.185054i
$625$	24.1802	+	6.34946i	0.967210	+	0.253978i
$626$	−6.40363	−	32.1932i	−0.255940	−	1.28670i
$627$	8.94320	+	21.5908i	0.357157	+	0.862253i
$628$	4.94103	−	4.94103i	0.197168	−	0.197168i
$629$	−10.8570	−	28.2657i	−0.432897	−	1.12703i
$630$	−0.167434	−	0.289168i	−0.00667074	−	0.0115207i
$631$	−25.1686	−	10.4252i	−1.00195	−	0.415020i	−0.179436	−	0.983770i	$-0.557427\pi$
$631$	−25.1686	−	10.4252i	−1.00195	−	0.415020i	−0.822511	+	0.568749i	$0.807427\pi$
$632$	−3.98845	+	5.96914i	−0.158652	+	0.237440i
$633$		−	34.0032i		−	1.35151i
$634$	25.9790	+	17.3586i	1.03176	+	0.689399i
$635$	26.7807	+	13.1651i	1.06276	+	0.522442i
$636$	7.50412	+	11.2307i	0.297558	+	0.445327i
$637$	14.0330	+	5.81264i	0.556006	+	0.230305i
$638$	−19.2078	−	7.95611i	−0.760442	−	0.314985i
$639$	10.5491	+	15.7878i	0.417315	+	0.624556i
$640$	2.00671	+	0.986476i	0.0793220	+	0.0389939i
$641$	4.62681	+	3.09154i	0.182748	+	0.122108i	0.643579	−	0.765379i	$-0.277449\pi$
$641$	4.62681	+	3.09154i	0.182748	+	0.122108i	−0.460831	+	0.887488i	$0.652449\pi$
$642$		−	1.95865i		−	0.0773018i
$643$	−1.30468	+	1.95259i	−0.0514515	+	0.0770025i	−0.856303	−	0.516473i	$-0.827245\pi$
$643$	−1.30468	+	1.95259i	−0.0514515	+	0.0770025i	0.804852	+	0.593476i	$0.202245\pi$
$644$	−0.276488	−	0.114525i	−0.0108951	−	0.00451291i
$645$	−26.0089	−	44.9188i	−1.02410	−	1.76867i
$646$	−12.5904	−	8.89406i	−0.495363	−	0.349932i
$647$	2.50204	−	2.50204i	0.0983654	−	0.0983654i	−0.656212	−	0.754577i	$-0.727842\pi$
$647$	2.50204	−	2.50204i	0.0983654	−	0.0983654i	0.754577	+	0.656212i	$0.227842\pi$
$648$	−2.67897	−	6.46761i	−0.105240	−	0.254072i
$649$	4.52411	+	22.7442i	0.177587	+	0.892790i
$650$	−10.4753	+	2.83498i	−0.410875	+	0.111197i
$651$	−0.0691728	+	0.103524i	−0.00271109	+	0.00405744i
$652$	−9.04498	+	6.04366i	−0.354229	+	0.236688i
$653$	−6.07974	+	30.5649i	−0.237919	+	1.19610i	0.658393	+	0.752674i	$0.271236\pi$
$653$	−6.07974	+	30.5649i	−0.237919	+	1.19610i	−0.896312	+	0.443424i	$0.853764\pi$
$654$	−25.0446	+	10.3738i	−0.979321	+	0.405648i
$655$	6.29450	+	4.81743i	0.245946	+	0.188233i
$656$	0.599639	−	0.400666i	0.0234120	−	0.0156434i
$657$	22.5763	+	33.7878i	0.880785	+	1.31819i
$658$	0.0338736	+	0.170294i	0.00132053	+	0.00663876i
$659$	−21.8155	−	21.8155i	−0.849813	−	0.849813i	0.140296	−	0.990110i	$-0.455194\pi$
$659$	−21.8155	−	21.8155i	−0.849813	−	0.849813i	−0.990110	+	0.140296i	$0.955194\pi$
$660$	−0.896687	+	13.9484i	−0.0349035	+	0.542939i
$661$	−6.74921	+	16.2940i	−0.262514	+	0.633765i	−0.999093	−	0.0425871i	$-0.986440\pi$
$661$	−6.74921	+	16.2940i	−0.262514	+	0.633765i	0.736579	+	0.676352i	$0.236440\pi$
$662$	−6.94189	−	6.94189i	−0.269804	−	0.269804i
$663$	21.3986	−	8.21931i	0.831053	−	0.319212i
$664$			16.9035i			0.655983i
$665$	0.213190	−	0.278555i	0.00826714	−	0.0108019i
$666$	−25.6518	+	5.10246i	−0.993987	+	0.197716i
$667$	−60.7664			−2.35288
$668$	−3.25081	+	0.646627i	−0.125778	+	0.0250187i
$669$	7.23847	−	36.3903i	0.279856	−	1.40693i
$670$	−31.2969	−	15.3853i	−1.20911	−	0.594384i
$671$	−6.59279	−	15.9164i	−0.254512	−	0.614446i
$672$	0.0411304	−	0.0992975i	0.00158664	−	0.00383049i
$673$	26.3089	+	5.23317i	1.01413	+	0.201724i	0.674061	−	0.738675i	$-0.264548\pi$
$673$	26.3089	+	5.23317i	1.01413	+	0.201724i	0.340072	+	0.940399i	$0.389548\pi$
$674$	−14.8533	−	2.95450i	−0.572126	−	0.113803i
$675$	−2.29430	+	6.81482i	−0.0883078	+	0.262302i
$676$	−5.86138	+	5.86138i	−0.225438	+	0.225438i
$677$	4.36912	+	2.91935i	0.167919	+	0.112200i	0.636690	−	0.771120i	$-0.280303\pi$
$677$	4.36912	+	2.91935i	0.167919	+	0.112200i	−0.468771	+	0.883320i	$0.655303\pi$
$678$	14.4126	−	5.96991i	0.553514	−	0.229273i
$679$	−0.172187			−0.00660791
$680$	−4.41103	−	8.09585i	−0.169155	−	0.310462i
$681$	−74.8500			−2.86826
$682$	2.61170	−	1.08180i	0.100007	−	0.0414242i
$683$	−32.9122	−	21.9912i	−1.25935	−	0.841470i	−0.266851	−	0.963738i	$-0.585983\pi$
$683$	−32.9122	−	21.9912i	−1.25935	−	0.841470i	−0.992497	+	0.122268i	$0.960983\pi$
$684$	−9.41520	+	9.41520i	−0.359999	+	0.359999i
$685$	−23.5539	+	20.7085i	−0.899950	+	0.791231i
$686$	−0.576064	−	0.114586i	−0.0219942	−	0.00437493i
$687$	24.0452	+	4.78289i	0.917382	+	0.182479i
$688$	3.46790	−	8.37226i	0.132213	−	0.319189i
$689$	−4.37972	−	10.5736i	−0.166854	−	0.402821i
$690$	13.1801	+	38.6682i	0.501758	+	1.47207i
$691$	−5.45405	+	27.4193i	−0.207482	+	1.04308i	0.726883	+	0.686762i	$0.240968\pi$
$691$	−5.45405	+	27.4193i	−0.207482	+	1.04308i	−0.934364	+	0.356319i	$0.884032\pi$
$692$	−23.2606	+	4.62681i	−0.884234	+	0.175885i
$693$	0.364656			0.0138521
$694$	−3.17804	+	0.632152i	−0.120637	+	0.0239962i
$695$	1.24285	+	9.34994i	0.0471442	+	0.354664i
$696$		−	21.8236i		−	0.827221i
$697$	−2.97250	−	0.0772133i	−0.112591	−	0.00292466i
$698$	3.65720	+	3.65720i	0.138427	+	0.138427i
$699$	−3.23596	+	7.81231i	−0.122395	+	0.295489i
$700$	0.187926	−	0.0932605i	0.00710293	−	0.00352492i
$701$	31.7560	+	31.7560i	1.19941	+	1.19941i	0.974344	+	0.225063i	$0.0722588\pi$
$701$	31.7560	+	31.7560i	1.19941	+	1.19941i	0.225063	+	0.974344i	$0.427741\pi$
$702$	−0.608947	−	3.06138i	−0.0229832	−	0.115544i
$703$	−15.2538	−	22.8289i	−0.575307	−	0.861008i
$704$	−2.02899	+	1.35573i	−0.0764706	+	0.0510960i
$705$	14.4054	−	18.8222i	0.542537	−	0.708884i
$706$	−20.7680	+	8.60237i	−0.781612	+	0.323754i
$707$	0.0102019	−	0.0512885i	0.000383683	−	0.00192890i
$708$	−20.2399	+	13.5239i	−0.760663	+	0.508259i
$709$	3.74297	−	5.60175i	0.140570	−	0.210378i	−0.754504	−	0.656295i	$-0.772122\pi$
$709$	3.74297	−	5.60175i	0.140570	−	0.210378i	0.895074	+	0.445917i	$0.147122\pi$
$710$	−10.3170	+	5.97373i	−0.387188	+	0.224190i
$711$	−4.98799	−	25.0763i	−0.187064	−	0.940436i
$712$	−6.24945	−	15.0875i	−0.234208	−	0.565428i
$713$	5.84244	−	5.84244i	0.218801	−	0.218801i
$714$	−0.374732	+	0.236548i	−0.0140240	+	0.00885259i
$715$	3.05089	−	11.4434i	0.114097	−	0.427957i
$716$	−2.59580	−	1.07522i	−0.0970096	−	0.0401827i
$717$	−4.62643	+	6.92394i	−0.172777	+	0.258579i
$718$			33.4529i			1.24845i
$719$	9.66147	+	6.45559i	0.360312	+	0.240753i	0.722528	−	0.691341i	$-0.242980\pi$
$719$	9.66147	+	6.45559i	0.360312	+	0.240753i	−0.362216	+	0.932094i	$0.617980\pi$
$720$	−7.53777	+	2.56926i	−0.280916	+	0.0957506i
$721$	0.225601	+	0.337636i	0.00840184	+	0.0125742i
$722$	4.63989	+	1.92191i	0.172679	+	0.0715259i
$723$	15.7779	+	6.53541i	0.586785	+	0.243054i
$724$	6.05103	+	9.05601i	0.224885	+	0.336564i
$725$	28.0070	−	32.0977i	1.04016	−	1.19208i
$726$	10.7454	+	7.17985i	0.398799	+	0.266469i
$727$			4.11908i			0.152768i	0.997078	+	0.0763841i	$0.0243375\pi$
$727$			4.11908i			0.152768i	−0.997078	+	0.0763841i	$0.975662\pi$
$728$	−0.0505950	+	0.0757208i	−0.00187518	+	0.00280640i
$729$	33.2442	+	13.7702i	1.23127	+	0.510007i
$730$	−22.0795	+	12.7845i	−0.817200	+	0.473176i
$731$	−31.5955	+	19.9445i	−1.16860	+	0.737675i
$732$	12.7873	−	12.7873i	0.472633	−	0.472633i
$733$	−14.9048	−	35.9833i	−0.550520	−	1.32907i	−0.917089	−	0.398683i	$-0.869467\pi$
$733$	−14.9048	−	35.9833i	−0.550520	−	1.32907i	0.366568	−	0.930391i	$-0.380533\pi$
$734$	−1.86891	−	9.39563i	−0.0689826	−	0.346799i
$735$	20.0855	+	34.6888i	0.740866	+	1.27952i
$736$	−3.96256	+	5.93039i	−0.146062	+	0.218597i
$737$	31.6446	−	21.1442i	1.16564	−	0.778857i
$738$	−0.501077	+	2.51908i	−0.0184449	+	0.0927287i
$739$	45.9741	−	19.0431i	1.69119	−	0.700512i	0.691426	−	0.722448i	$-0.256983\pi$
$739$	45.9741	−	19.0431i	1.69119	−	0.700512i	0.999759	+	0.0219357i	$0.00698290\pi$
$740$	−2.16377	−	16.2780i	−0.0795419	−	0.598390i
$741$	17.2827	−	11.5479i	0.634894	−	0.424223i
$742$	0.122920	+	0.183963i	0.00451255	+	0.00675351i
$743$	−6.96374	−	35.0091i	−0.255475	−	1.28436i	−0.869051	−	0.494723i	$-0.835270\pi$
$743$	−6.96374	−	35.0091i	−0.255475	−	1.28436i	0.613576	−	0.789636i	$-0.289730\pi$
$744$	2.09825	+	2.09825i	0.0769256	+	0.0769256i
$745$	1.59586	+	1.81514i	0.0584678	+	0.0665017i
$746$	2.43402	−	5.87625i	0.0891159	−	0.215145i
$747$	−42.5683	−	42.5683i	−1.55749	−	1.55749i
$748$	10.0580	+	0.261266i	0.367757	+	0.00955283i
$749$		−	0.0320835i		−	0.00117230i
$750$	−26.4998	−	10.8601i	−0.967634	−	0.396556i
$751$	33.2936	−	6.62250i	1.21490	−	0.241659i	0.454282	−	0.890858i	$-0.349896\pi$
$751$	33.2936	−	6.62250i	1.21490	−	0.241659i	0.760618	+	0.649199i	$0.224896\pi$
$752$	4.13811			0.150901
$753$	−12.7085	+	2.52788i	−0.463124	+	0.0921212i
$754$	−3.60751	+	18.1362i	−0.131378	+	0.660481i
$755$	−12.8227	+	26.0842i	−0.466667	+	0.949301i
$756$	0.0230920	+	0.0557491i	0.000839849	+	0.00202757i
$757$	8.59092	−	20.7403i	0.312242	−	0.753820i	−0.687379	−	0.726299i	$-0.741239\pi$
$757$	8.59092	−	20.7403i	0.312242	−	0.753820i	0.999621	−	0.0275207i	$-0.00876120\pi$
$758$	−9.97362	−	1.98388i	−0.362258	−	0.0720577i
$759$	−43.7264	−	8.69773i	−1.58717	−	0.315708i
$760$	−5.51998	−	6.27845i	−0.200231	−	0.227743i
$761$	−13.1115	+	13.1115i	−0.475292	+	0.475292i	−0.903622	−	0.428330i	$-0.859102\pi$
$761$	−13.1115	+	13.1115i	−0.475292	+	0.475292i	0.428330	+	0.903622i	$0.359102\pi$
$762$	−28.4239	−	18.9923i	−1.02969	−	0.688017i
$763$	−0.410240	+	0.169927i	−0.0148517	+	0.00615177i
$764$	−19.1327			−0.692198
$765$	31.4963	+	9.27955i	1.13875	+	0.335503i
$766$	1.88485			0.0681022
$767$	19.0557	−	7.89311i	0.688060	−	0.285004i
$768$	−2.12983	−	1.42311i	−0.0768538	−	0.0513520i
$769$	−0.316255	+	0.316255i	−0.0114044	+	0.0114044i	−0.712786	−	0.701382i	$-0.752567\pi$
$769$	−0.316255	+	0.316255i	−0.0114044	+	0.0114044i	0.701382	+	0.712786i	$0.252567\pi$
$770$	−0.0146881	+	0.228480i	−0.000529322	+	0.00823383i
$771$	35.1813	+	6.99799i	1.26702	+	0.252026i
$772$	−0.865294	−	0.172118i	−0.0311426	−	0.00619465i
$773$	−11.9989	+	28.9680i	−0.431572	+	1.04191i	0.547209	+	0.836996i	$0.315690\pi$
$773$	−11.9989	+	28.9680i	−0.431572	+	1.04191i	−0.978781	+	0.204911i	$0.934310\pi$
$774$	12.3507	+	29.8172i	0.443937	+	1.07176i
$775$	0.393299	+	5.77882i	0.0141277	+	0.207581i
$776$	−0.800592	+	4.02485i	−0.0287396	+	0.144484i
$777$	−0.774133	+	0.153985i	−0.0277719	+	0.00552417i
$778$	8.37897			0.300401
$779$	−2.64446	+	0.526016i	−0.0947476	+	0.0188465i
$780$	12.3233	−	1.63809i	0.441244	−	0.0586530i
$781$		−	13.0102i		−	0.465542i
$782$	27.4522	−	10.5445i	0.981690	−	0.377072i
$783$	8.66384	+	8.66384i	0.309620	+	0.309620i
$784$	−2.67811	+	6.46553i	−0.0956468	+	0.230912i
$785$	−15.5927	−	1.00240i	−0.556528	−	0.0357771i
$786$	−6.42063	−	6.42063i	−0.229016	−	0.229016i
$787$	0.528742	+	2.65816i	0.0188476	+	0.0947533i	0.989064	−	0.147486i	$-0.0471181\pi$
$787$	0.528742	+	2.65816i	0.0188476	+	0.0947533i	−0.970217	+	0.242239i	$0.922118\pi$
$788$	5.60616	+	8.39022i	0.199711	+	0.298889i
$789$	−4.63283	+	3.09556i	−0.164933	+	0.110205i
$790$	15.9128	−	2.11523i	0.566152	−	0.0752566i
$791$	0.236085	−	0.0977894i	0.00839420	−	0.00347699i
$792$	1.69549	−	8.52380i	0.0602466	−	0.302880i
$793$	−12.7405	+	8.51294i	−0.452429	+	0.302303i
$794$	9.32491	−	13.9557i	0.330929	−	0.495270i
$795$	7.78050	−	29.1833i	0.275946	−	1.03503i
$796$	0.0430965	+	0.216661i	0.00152752	+	0.00767934i
$797$	−11.5058	−	27.7775i	−0.407556	−	0.983928i	−0.985779	−	0.168049i	$-0.946253\pi$
$797$	−11.5058	−	27.7775i	−0.407556	−	0.983928i	0.578222	−	0.815879i	$-0.303747\pi$
$798$	−0.284137	+	0.284137i	−0.0100583	+	0.0100583i
$799$	−13.9355	−	9.84425i	−0.493002	−	0.348264i
$800$	−1.30618	−	4.82637i	−0.0461806	−	0.170638i
$801$	53.7331	+	22.2570i	1.89857	+	0.786412i
$802$	18.0990	−	27.0871i	0.639099	−	0.956479i
$803$		−	27.8434i		−	0.982573i
$804$	33.2173	+	22.1951i	1.17148	+	0.782760i
$805$	0.215895	+	0.633400i	0.00760931	+	0.0223244i
$806$	−1.39687	−	2.09057i	−0.0492028	−	0.0736371i
$807$	63.5354	+	26.3172i	2.23655	+	0.926410i
$808$	−1.15143	−	0.476938i	−0.0405072	−	0.0167786i
$809$	8.27844	+	12.3896i	0.291054	+	0.435594i	0.947965	−	0.318375i	$-0.103137\pi$
$809$	8.27844	+	12.3896i	0.291054	+	0.435594i	−0.656911	+	0.753969i	$0.728137\pi$
$810$	−6.90581	+	14.0479i	−0.242646	+	0.493593i
$811$	27.9751	+	18.6924i	0.982339	+	0.656378i	0.939444	−	0.342701i	$-0.111342\pi$
$811$	27.9751	+	18.6924i	0.982339	+	0.656378i	0.0428949	+	0.999080i	$0.486342\pi$
$812$		−	0.357479i		−	0.0125451i
$813$	−33.8191	+	50.6139i	−1.18609	+	1.77511i
$814$	16.5565	+	6.85792i	0.580305	+	0.240370i
$815$	23.5037	+	6.26626i	0.823297	+	0.219497i
$816$	3.78696	+	9.85918i	0.132570	+	0.345140i
$817$	−23.9570	+	23.9570i	−0.838148	+	0.838148i
$818$	−9.84758	−	23.7742i	−0.344313	−	0.831244i
$819$	−0.0632746	−	0.318103i	−0.00221099	−	0.0111154i
$820$	−1.55818	−	0.415423i	−0.0544140	−	0.0145072i
$821$	−10.2814	+	15.3873i	−0.358825	+	0.537019i	−0.966333	−	0.257294i	$-0.917169\pi$
$821$	−10.2814	+	15.3873i	−0.358825	+	0.537019i	0.607508	+	0.794313i	$0.292169\pi$
$822$	29.8728	−	19.9604i	1.04194	−	0.696199i
$823$	−10.5422	+	52.9993i	−0.367479	+	1.84744i	0.145930	+	0.989295i	$0.453383\pi$
$823$	−10.5422	+	52.9993i	−0.367479	+	1.84744i	−0.513409	+	0.858144i	$0.671617\pi$
$824$	8.94117	−	3.70355i	0.311480	−	0.129019i
$825$	24.7476	−	19.0882i	0.861602	−	0.664565i
$826$	−0.331538	+	0.221527i	−0.0115357	+	0.00770790i
$827$	−20.4299	−	30.5755i	−0.710417	−	1.06321i	−0.994533	−	0.104424i	$-0.966700\pi$
$827$	−20.4299	−	30.5755i	−0.710417	−	1.06321i	0.284116	−	0.958790i	$-0.408300\pi$
$828$	−4.95561	−	24.9135i	−0.172219	−	0.865805i
$829$	28.6987	+	28.6987i	0.996748	+	0.996748i	0.999995	−	0.00324645i	$-0.00103338\pi$
$829$	28.6987	+	28.6987i	0.996748	+	0.996748i	−0.00324645	+	0.999995i	$0.501033\pi$
$830$	28.3863	−	24.9571i	0.985304	−	0.866274i
$831$	−9.97852	+	24.0903i	−0.346151	+	0.835683i
$832$	1.53472	+	1.53472i	0.0532070	+	0.0532070i
$833$	24.3998	−	15.4023i	0.845403	−	0.533658i
$834$		−	10.8051i		−	0.374148i
$835$	5.88554	+	4.50444i	0.203677	+	0.155882i
$836$	8.94804	−	1.77988i	0.309474	−	0.0615583i
$837$	−1.66599			−0.0575849
$838$	23.5187	−	4.67816i	0.812441	−	0.161604i
$839$	0.974657	−	4.89993i	0.0336489	−	0.169164i	−0.960307	−	0.278946i	$-0.910015\pi$
$839$	0.974657	−	4.89993i	0.0336489	−	0.169164i	0.993956	+	0.109781i	$0.0350150\pi$
$840$	−0.227479	+	0.0775364i	−0.00784877	+	0.00267526i
$841$	−16.6797	−	40.2684i	−0.575162	−	1.38857i
$842$	4.13012	−	9.97100i	0.142333	−	0.343623i
$843$	−21.6958	−	4.31556i	−0.747242	−	0.148636i
$844$	−13.0195	−	2.58974i	−0.448150	−	0.0891425i
$845$	18.4971	+	1.18911i	0.636321	+	0.0409066i
$846$	−10.4211	+	10.4211i	−0.358284	+	0.358284i
$847$	0.176014	+	0.117609i	0.00604791	+	0.00404108i
$848$	4.87166	−	2.01791i	0.167293	−	0.0692952i
$849$	−17.9259			−0.615215
$850$	−7.08287	+	19.3606i	−0.242940	+	0.664063i
$851$	52.3788			1.79552
$852$	12.6173	−	5.22624i	0.432260	−	0.179048i
$853$	−34.6305	−	23.1394i	−1.18573	−	0.792276i	−0.203334	−	0.979109i	$-0.565178\pi$
$853$	−34.6305	−	23.1394i	−1.18573	−	0.792276i	−0.982392	+	0.186833i	$0.940178\pi$
$854$	0.209461	−	0.209461i	0.00716762	−	0.00716762i
$855$	29.7122	+	1.91008i	1.01613	+	0.0653234i
$856$	−0.749949	−	0.149174i	−0.0256327	−	0.00509867i
$857$	−44.5654	−	8.86461i	−1.52233	−	0.302809i	−0.638131	−	0.769928i	$-0.720292\pi$
$857$	−44.5654	−	8.86461i	−1.52233	−	0.302809i	−0.884195	+	0.467119i	$0.845292\pi$
$858$	−5.19181	+	12.5341i	−0.177245	+	0.427908i
$859$	14.4334	+	34.8453i	0.492461	+	1.18891i	0.953464	+	0.301507i	$0.0974897\pi$
$859$	14.4334	+	34.8453i	0.492461	+	1.18891i	−0.461003	+	0.887399i	$0.652510\pi$
$860$	−19.1798	+	6.53747i	−0.654027	+	0.222926i
$861$	−0.0151218	+	0.0760222i	−0.000515348	+	0.00259083i
$862$	−9.64284	+	1.91808i	−0.328436	+	0.0653300i
$863$	−38.0573			−1.29548			−0.647742	−	0.761860i	$-0.724287\pi$
$863$	−38.0573			−1.29548			−0.647742	+	0.761860i	$0.724287\pi$
$864$	1.41050	−	0.280566i	0.0479861	−	0.00954503i
$865$	42.1128	+	32.2306i	1.43188	+	1.09587i
$866$		−	1.05577i		−	0.0358764i
$867$	10.7013	−	42.2106i	0.363434	−	1.43355i
$868$	0.0343702	+	0.0343702i	0.00116660	+	0.00116660i
$869$	−6.70408	+	16.1851i	−0.227420	+	0.549041i
$870$	−36.6488	+	32.2214i	−1.24251	+	1.09241i
$871$	−23.9358	−	23.9358i	−0.811035	−	0.811035i
$872$	2.06460	+	10.3794i	0.0699160	+	0.351492i
$873$	−8.11969	−	12.1520i	−0.274810	−	0.411282i
$874$	22.1719	−	14.8148i	0.749975	−	0.501117i
$875$	−0.434076	−	0.177893i	−0.0146745	−	0.00601389i
$876$	27.0025	−	11.1848i	0.912329	−	0.377899i
$877$	8.72656	−	43.8714i	0.294675	−	1.48143i	−0.495531	−	0.868590i	$-0.665026\pi$
$877$	8.72656	−	43.8714i	0.294675	−	1.48143i	0.790206	−	0.612841i	$-0.209974\pi$
$878$	−1.45925	+	0.975040i	−0.0492473	+	0.0329060i
$879$	−47.0368	+	70.3955i	−1.58651	+	2.37438i
$880$	5.27240	+	1.40566i	0.177733	+	0.0473849i
$881$	−4.31320	−	21.6839i	−0.145315	−	0.730549i	−0.982885	−	0.184219i	$-0.941024\pi$
$881$	−4.31320	−	21.6839i	−0.145315	−	0.730549i	0.837570	−	0.546330i	$-0.183976\pi$
$882$	−9.53791	−	23.0266i	−0.321158	−	0.775345i
$883$	0.609859	−	0.609859i	0.0205234	−	0.0205234i	−0.696771	−	0.717294i	$-0.745380\pi$
$883$	0.609859	−	0.609859i	0.0205234	−	0.0205234i	0.717294	+	0.696771i	$0.245380\pi$
$884$	−1.51734	−	8.81932i	−0.0510337	−	0.296626i
$885$	52.5941	+	14.0220i	1.76793	+	0.471344i
$886$	22.7978	+	9.44317i	0.765908	+	0.317250i
$887$	−1.78400	+	2.66994i	−0.0599008	+	0.0896479i	−0.860211	−	0.509938i	$-0.829668\pi$
$887$	−1.78400	+	2.66994i	−0.0599008	+	0.0896479i	0.800310	+	0.599586i	$0.204668\pi$
$888$			18.8113i			0.631265i
$889$	−0.465595	−	0.311101i	−0.0156156	−	0.0104340i
$890$	−16.1097	+	32.7707i	−0.540000	+	1.09848i
$891$	−9.49077	−	14.2039i	−0.317953	−	0.475850i
$892$	−13.3822	−	5.54308i	−0.448069	−	0.185596i
$893$	−14.2934	−	5.92054i	−0.478312	−	0.198123i
$894$	−1.53821	−	2.30210i	−0.0514455	−	0.0769936i
$895$	2.02693	+	5.94667i	0.0677528	+	0.198775i
$896$	−0.0348875	−	0.0233111i	−0.00116551	−	0.000778769i
$897$			39.6535i			1.32399i
$898$	−2.19169	+	3.28010i	−0.0731376	+	0.109458i
$899$	9.11833	+	3.77694i	0.304113	+	0.125968i
$900$	15.4437	+	8.86494i	0.514790	+	0.295498i
$901$	−21.2062	−	4.79380i	−0.706482	−	0.159705i
$902$	1.24441	−	1.24441i	0.0414342	−	0.0414342i
$903$	0.372726	+	0.899841i	0.0124036	+	0.0299448i
$904$	−1.18813	−	5.97314i	−0.0395166	−	0.198664i
$905$	6.27389	−	23.5323i	0.208551	−	0.782240i
$906$	18.4983	−	27.6847i	0.614565	−	0.919762i
$907$	7.64783	−	5.11012i	0.253942	−	0.169679i	−0.422083	−	0.906557i	$-0.638701\pi$
$907$	7.64783	−	5.11012i	0.253942	−	0.169679i	0.676025	+	0.736878i	$0.263701\pi$
$908$	−5.70070	+	28.6593i	−0.189184	+	0.951093i
$909$	4.10075	−	1.69858i	0.136013	−	0.0563385i
$910$	0.201860	−	0.0268325i	0.00669160	−	0.000889490i
$911$	−4.16596	+	2.78361i	−0.138025	+	0.0922250i	−0.622666	−	0.782488i	$-0.713950\pi$
$911$	−4.16596	+	2.78361i	−0.138025	+	0.0922250i	0.484641	+	0.874713i	$0.338950\pi$
$912$	5.32057	+	7.96279i	0.176182	+	0.263674i
$913$	8.04723	+	40.4562i	0.266325	+	1.33890i
$914$	−14.2400	−	14.2400i	−0.471018	−	0.471018i
$915$	−40.3538	−	2.59419i	−1.33406	−	0.0857613i
$916$	3.66265	−	8.84241i	0.121017	−	0.292162i
$917$	−0.105172	−	0.105172i	−0.00347310	−	0.00347310i
$918$	−5.41744	−	2.41064i	−0.178802	−	0.0795628i
$919$			51.6686i			1.70439i	0.523223	+	0.852196i	$0.324729\pi$
$919$			51.6686i			1.70439i	−0.523223	+	0.852196i	$0.675271\pi$
$920$	15.8095	−	2.10150i	0.521224	−	0.0692844i
$921$	−8.53312	+	1.69734i	−0.281176	+	0.0559293i
$922$	−15.1918			−0.500315
$923$	−11.3493	+	2.25752i	−0.373567	+	0.0743071i
$924$	0.0511674	−	0.257236i	0.00168328	−	0.00846243i
$925$	−24.1412	+	27.6672i	−0.793758	+	0.909692i
$926$	1.83336	+	4.42611i	0.0602478	+	0.145451i
$927$	−13.1900	+	31.8434i	−0.433215	+	1.04587i
$928$	−8.35605	−	1.66212i	−0.274301	−	0.0545618i
$929$	13.5019	+	2.68570i	0.442984	+	0.0881151i	0.411543	−	0.911391i	$-0.364990\pi$
$929$	13.5019	+	2.68570i	0.442984	+	0.0881151i	0.0314417	+	0.999506i	$0.489990\pi$
$930$	0.425676	−	6.62158i	0.0139585	−	0.217130i
$931$	18.5009	−	18.5009i	0.606343	−	0.606343i
$932$	2.74480	+	1.83402i	0.0899090	+	0.0600753i
$933$	49.9756	−	20.7006i	1.63613	−	0.677706i
$934$	−15.2661			−0.499523
$935$	−14.4114	−	17.2763i	−0.471302	−	0.564997i
$936$	−7.72983			−0.252657
$937$	−10.0223	+	4.15139i	−0.327415	+	0.135620i	−0.540335	−	0.841450i	$-0.681703\pi$
$937$	−10.0223	+	4.15139i	−0.327415	+	0.135620i	0.212920	+	0.977070i	$0.431703\pi$
$938$	0.544112	+	0.363564i	0.0177659	+	0.0118708i
$939$	59.4531	−	59.4531i	1.94018	−	1.94018i
$940$	−6.10969	−	6.94920i	−0.199276	−	0.226658i
$941$	−40.0808	−	7.97257i	−1.30660	−	0.259898i	−0.507787	−	0.861482i	$-0.669536\pi$
$941$	−40.0808	−	7.97257i	−1.30660	−	0.259898i	−0.798809	+	0.601584i	$0.794536\pi$
$942$	17.5552	+	3.49195i	0.571979	+	0.113774i
$943$	1.96843	−	4.75221i	0.0641009	−	0.154753i
$944$	3.63666	+	8.77968i	0.118363	+	0.285754i
$945$	0.0595263	−	0.121089i	0.00193639	−	0.00393904i
$946$	4.31417	−	21.6888i	0.140266	−	0.705163i
$947$	−18.0851	+	3.59735i	−0.587686	+	0.116898i	−0.479972	−	0.877284i	$-0.659353\pi$
$947$	−18.0851	+	3.59735i	−0.587686	+	0.116898i	−0.107714	+	0.994182i	$0.534353\pi$
$948$	−18.3893			−0.597256
$949$	−24.2889	+	4.83136i	−0.788451	+	0.156833i
$950$	−2.39357	+	18.5396i	−0.0776577	+	0.601504i
$951$			80.0342i			2.59529i
$952$	0.0620318	+	0.161497i	0.00201046	+	0.00523415i
$953$	19.5626	+	19.5626i	0.633696	+	0.633696i	0.948993	−	0.315297i	$-0.102104\pi$
$953$	19.5626	+	19.5626i	0.633696	+	0.633696i	−0.315297	+	0.948993i	$0.602104\pi$
$954$	−7.18664	+	17.3501i	−0.232676	+	0.561730i
$955$	28.2484	+	32.1299i	0.914098	+	1.03970i
$956$	2.29875	+	2.29875i	0.0743470	+	0.0743470i
$957$	−10.3895	−	52.2317i	−0.335846	−	1.68841i
$958$	11.9863	+	17.9387i	0.387259	+	0.579575i
$959$	0.489329	−	0.326959i	0.0158013	−	0.0105581i
$960$	0.754731	+	5.67781i	0.0243588	+	0.183251i
$961$	27.4004	−	11.3496i	0.883885	−	0.366117i
$962$	3.10957	−	15.6328i	0.100256	−	0.504023i
$963$	2.26427	−	1.51294i	0.0729652	−	0.0487538i
$964$	3.70401	−	5.54345i	0.119298	−	0.178542i
$965$	0.988519	+	1.70723i	0.0318216	+	0.0549575i
$966$	−0.149553	−	0.751854i	−0.00481179	−	0.0241905i
$967$	16.6678	+	40.2397i	0.536001	+	1.29402i	0.927493	+	0.373840i	$0.121959\pi$
$967$	16.6678	+	40.2397i	0.536001	+	1.29402i	−0.391492	+	0.920181i	$0.628041\pi$
$968$	3.56748	−	3.56748i	0.114663	−	0.114663i
$969$	1.02534	−	39.4727i	0.0329387	−	1.26805i
$970$	7.94103	−	4.59802i	0.254971	−	0.147634i
$971$	−29.2585	−	12.1193i	−0.938949	−	0.388925i	−0.139882	−	0.990168i	$-0.544672\pi$
$971$	−29.2585	−	12.1193i	−0.938949	−	0.388925i	−0.799066	+	0.601243i	$0.794672\pi$
$972$	12.3594	−	18.4972i	0.396428	−	0.593297i
$973$		−	0.176991i		−	0.00567407i
$974$	16.3758	+	10.9420i	0.524716	+	0.350604i
$975$	−20.9455	−	18.2761i	−0.670793	−	0.585305i
$976$	−3.92224	−	5.87005i	−0.125548	−	0.187896i
$977$	13.9175	+	5.76484i	0.445262	+	0.184433i	0.594037	−	0.804438i	$-0.297533\pi$
$977$	13.9175	+	5.76484i	0.445262	+	0.184433i	−0.148775	+	0.988871i	$0.547533\pi$
$978$	−25.7440	−	10.6635i	−0.823202	−	0.340982i
$979$	−22.1399	−	33.1347i	−0.707593	−	1.05899i
$980$	14.8118	−	5.04861i	0.473144	−	0.161272i
$981$	−31.3380	−	20.9394i	−1.00054	−	0.668542i
$982$			10.9171i			0.348379i
$983$	2.65830	−	3.97842i	0.0847865	−	0.126892i	−0.786652	−	0.617396i	$-0.788187\pi$
$983$	2.65830	−	3.97842i	0.0847865	−	0.126892i	0.871439	+	0.490504i	$0.163187\pi$
$984$	1.70670	+	0.706940i	0.0544077	+	0.0225364i
$985$	5.81264	−	21.8022i	0.185206	−	0.694677i
$986$	24.1858	+	25.4758i	0.770231	+	0.811313i
$987$	−0.314492	+	0.314492i	−0.0100104	+	0.0100104i
$988$	−3.10531	−	7.49687i	−0.0987930	−	0.238507i
$989$	−12.6095	−	63.3925i	−0.400960	−	2.01576i
$990$	−16.8175	+	9.73766i	−0.534494	+	0.309483i
$991$	−28.3664	+	42.4533i	−0.901089	+	1.34857i	0.0359517	+	0.999354i	$0.488554\pi$
$991$	−28.3664	+	42.4533i	−0.901089	+	1.34857i	−0.937040	+	0.349221i	$0.886446\pi$
$992$	0.963206	−	0.643594i	0.0305818	−	0.0204341i
$993$	4.90601	−	24.6642i	0.155687	−	0.782693i
$994$	0.206676	−	0.0856079i	0.00655535	−	0.00271532i
$995$	0.300213	−	0.392261i	0.00951739	−	0.0124355i
$996$	−36.0016	+	24.0555i	−1.14076	+	0.762229i
$997$	19.9191	+	29.8110i	0.630843	+	0.944124i	0.999892	+	0.0147136i	$0.00468365\pi$
$997$	19.9191	+	29.8110i	0.630843	+	0.944124i	−0.369048	+	0.929410i	$0.620316\pi$
$998$	2.05219	+	10.3170i	0.0649608	+	0.326580i
$999$	−7.46797	−	7.46797i	−0.236276	−	0.236276i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.r.b.23.5	yes	40
5.2	odd	4		170.2.o.b.57.5	yes	40
5.3	odd	4		850.2.s.d.57.1		40
5.4	even	2		850.2.v.d.193.1		40
17.3	odd	16		170.2.o.b.3.5	✓	40
85.3	even	16		850.2.v.d.207.1		40
85.37	even	16	inner	170.2.r.b.37.5	yes	40
85.54	odd	16		850.2.s.d.343.1		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.3.5	✓	40	17.3	odd	16
170.2.o.b.57.5	yes	40	5.2	odd	4
170.2.r.b.23.5	yes	40	1.1	even	1	trivial
170.2.r.b.37.5	yes	40	85.37	even	16	inner
850.2.s.d.57.1		40	5.3	odd	4
850.2.s.d.343.1		40	85.54	odd	16
850.2.v.d.193.1		40	5.4	even	2
850.2.v.d.207.1		40	85.3	even	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.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.923880 - 0.382683i) q^{2} +(2.12983 + 1.42311i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.23146 - 0.143452i) q^{5} +(2.51231 + 0.499730i) q^{6} +(0.0411526 + 0.00818577i) q^{7} +(0.382683 - 0.923880i) q^{8} +(1.36290 + 3.29034i) q^{9} +O(q^{10})\)	\(q+(0.923880 - 0.382683i) q^{2} +(2.12983 + 1.42311i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.23146 - 0.143452i) q^{5} +(2.51231 + 0.499730i) q^{6} +(0.0411526 + 0.00818577i) q^{7} +(0.382683 - 0.923880i) q^{8} +(1.36290 + 3.29034i) q^{9} +(-2.11650 + 0.721411i) q^{10} +(0.476069 - 2.39336i) q^{11} +(2.51231 - 0.499730i) q^{12} -2.17043 q^{13} +(0.0411526 - 0.00818577i) q^{14} +(-4.54850 - 3.48114i) q^{15} -1.00000i q^{16} +(-2.37892 + 3.36760i) q^{17} +(2.51831 + 2.51831i) q^{18} +(-1.43074 + 3.45410i) q^{19} +(-1.67932 + 1.47645i) q^{20} +(0.0759990 + 0.0759990i) q^{21} +(-0.476069 - 2.39336i) q^{22} +(-3.96256 - 5.93039i) q^{23} +(2.12983 - 1.42311i) q^{24} +(4.95884 + 0.640216i) q^{25} +(-2.00521 + 0.830586i) q^{26} +(-0.280566 + 1.41050i) q^{27} +(0.0348875 - 0.0233111i) q^{28} +(4.73332 - 7.08392i) q^{29} +(-5.53444 - 1.47552i) q^{30} +(0.226000 + 1.13618i) q^{31} +(-0.382683 - 0.923880i) q^{32} +(4.41996 - 4.41996i) q^{33} +(-0.909115 + 4.02163i) q^{34} +(-0.0906563 - 0.0241697i) q^{35} +(3.29034 + 1.36290i) q^{36} +(-4.07998 + 6.10612i) q^{37} +3.73869i q^{38} +(-4.62265 - 3.08876i) q^{39} +(-0.986476 + 2.00671i) q^{40} +(0.400666 + 0.599639i) q^{41} +(0.0992975 + 0.0411304i) q^{42} +(8.37226 + 3.46790i) q^{43} +(-1.35573 - 2.02899i) q^{44} +(-2.56926 - 7.53777i) q^{45} +(-5.93039 - 3.96256i) q^{46} +4.13811i q^{47} +(1.42311 - 2.12983i) q^{48} +(-6.46553 - 2.67811i) q^{49} +(4.82637 - 1.30618i) q^{50} +(-9.85918 + 3.78696i) q^{51} +(-1.53472 + 1.53472i) q^{52} +(2.01791 + 4.87166i) q^{53} +(0.280566 + 1.41050i) q^{54} +(-1.40566 + 5.27240i) q^{55} +(0.0233111 - 0.0348875i) q^{56} +(-7.96279 + 5.32057i) q^{57} +(1.66212 - 8.35605i) q^{58} +(-8.77968 + 3.63666i) q^{59} +(-5.67781 + 0.754731i) q^{60} +(5.87005 - 3.92224i) q^{61} +(0.643594 + 0.963206i) q^{62} +(0.0291531 + 0.146562i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(4.84322 + 0.311352i) q^{65} +(2.39207 - 5.77496i) q^{66} +(11.0282 + 11.0282i) q^{67} +(0.699099 + 4.06341i) q^{68} -18.2699i q^{69} +(-0.0930048 + 0.0123628i) q^{70} +(5.22907 - 1.04013i) q^{71} +3.56143 q^{72} +(11.1908 - 2.22600i) q^{73} +(-1.43270 + 7.20266i) q^{74} +(9.65042 + 8.42053i) q^{75} +(1.43074 + 3.45410i) q^{76} +(0.0391830 - 0.0945961i) q^{77} +(-5.45279 - 1.08463i) q^{78} +(-7.04108 - 1.40056i) q^{79} +(-0.143452 + 2.23146i) q^{80} +(4.95009 - 4.95009i) q^{81} +(0.599639 + 0.400666i) q^{82} +(-15.6168 + 6.46869i) q^{83} +0.107479 q^{84} +(5.79157 - 7.17341i) q^{85} +9.06206 q^{86} +(20.1624 - 8.35153i) q^{87} +(-2.02899 - 1.35573i) q^{88} +(11.5475 - 11.5475i) q^{89} +(-5.25826 - 5.98078i) q^{90} +(-0.0893188 - 0.0177666i) q^{91} +(-6.99537 - 1.39147i) q^{92} +(-1.13557 + 2.74150i) q^{93} +(1.58359 + 3.82312i) q^{94} +(3.68813 - 7.50245i) q^{95} +(0.499730 - 2.51231i) q^{96} +(-4.02485 + 0.800592i) q^{97} -6.99824 q^{98} +(8.52380 - 1.69549i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) \) 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Introduction

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