LMFDB - Embedded newform 429.2.bj.a.73.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, 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:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.11
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.a.382.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.92680 - 0.305175i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.71732 - 0.557991i) q^{4} +(3.27451 + 0.518632i) q^{5} +(0.305175 - 1.92680i) q^{6} +(-0.858865 + 1.68562i) q^{7} +(-0.337739 + 0.172087i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(1.92680 - 0.305175i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.71732 - 0.557991i) q^{4} +(3.27451 + 0.518632i) q^{5} +(0.305175 - 1.92680i) q^{6} +(-0.858865 + 1.68562i) q^{7} +(-0.337739 + 0.172087i) q^{8} +(-0.809017 - 0.587785i) q^{9} +6.46761 q^{10} +(3.31548 - 0.0869796i) q^{11} -1.80570i q^{12} +(-1.72110 - 3.16825i) q^{13} +(-1.14045 + 3.50995i) q^{14} +(1.50513 - 2.95398i) q^{15} +(-3.51992 + 2.55737i) q^{16} +(-6.07198 + 4.41155i) q^{17} +(-1.73819 - 0.885653i) q^{18} +(-1.42684 - 2.80034i) q^{19} +(5.91277 - 0.936491i) q^{20} +(1.33771 + 1.33771i) q^{21} +(6.36173 - 1.17940i) q^{22} -2.01554i q^{23} +(0.0592970 + 0.374387i) q^{24} +(5.69818 + 1.85145i) q^{25} +(-4.28308 - 5.57936i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(-0.534386 + 3.37398i) q^{28} +(4.56773 - 1.48415i) q^{29} +(1.99860 - 6.15106i) q^{30} +(-0.994851 - 6.28124i) q^{31} +(-5.46567 + 5.46567i) q^{32} +(0.941818 - 3.18009i) q^{33} +(-10.3532 + 10.3532i) q^{34} +(-3.68658 + 5.07414i) q^{35} +(-1.71732 - 0.557991i) q^{36} +(-2.38503 - 1.21524i) q^{37} +(-3.60384 - 4.96025i) q^{38} +(-3.54504 + 0.657817i) q^{39} +(-1.19518 + 0.388338i) q^{40} +(-0.810766 - 1.59122i) q^{41} +(2.98575 + 2.16927i) q^{42} -7.11034 q^{43} +(5.64521 - 1.99938i) q^{44} +(-2.34429 - 2.34429i) q^{45} +(-0.615093 - 3.88354i) q^{46} +(2.10064 + 4.12274i) q^{47} +(1.34449 + 4.13791i) q^{48} +(2.01084 + 2.76768i) q^{49} +(11.5443 + 1.82843i) q^{50} +(2.31929 + 7.13804i) q^{51} +(-4.72353 - 4.48054i) q^{52} +(-0.0571124 - 0.0414946i) q^{53} +(-1.37944 + 1.37944i) q^{54} +(10.9017 + 1.43470i) q^{55} -0.717098i q^{56} +(-3.10420 + 0.491657i) q^{57} +(8.34818 - 4.25361i) q^{58} +(-3.93535 - 2.00516i) q^{59} +(0.936491 - 5.91277i) q^{60} +(8.95668 + 12.3278i) q^{61} +(-3.83376 - 11.7991i) q^{62} +(1.68562 - 0.858865i) q^{63} +(-3.74854 + 5.15942i) q^{64} +(-3.99260 - 11.2671i) q^{65} +(0.844212 - 6.41482i) q^{66} +(2.36925 + 2.36925i) q^{67} +(-7.96592 + 10.9641i) q^{68} +(-1.91689 - 0.622836i) q^{69} +(-5.55480 + 10.9019i) q^{70} +(7.08697 + 1.12247i) q^{71} +(0.374387 + 0.0592970i) q^{72} +(-6.76307 + 13.2733i) q^{73} +(-4.96635 - 1.61366i) q^{74} +(3.52167 - 4.84716i) q^{75} +(-4.01290 - 4.01290i) q^{76} +(-2.70094 + 5.66334i) q^{77} +(-6.62983 + 2.34934i) q^{78} +(6.65263 - 9.15656i) q^{79} +(-12.8523 + 6.54860i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-2.04779 - 2.81854i) q^{82} +(-0.0498709 + 0.314873i) q^{83} +(3.04371 + 1.55085i) q^{84} +(-22.1708 + 11.2966i) q^{85} +(-13.7002 + 2.16990i) q^{86} -4.80279i q^{87} +(-1.10480 + 0.599927i) q^{88} +(-0.375714 + 0.375714i) q^{89} +(-5.23241 - 3.80157i) q^{90} +(6.81865 - 0.180010i) q^{91} +(-1.12465 - 3.46132i) q^{92} +(-6.28124 - 0.994851i) q^{93} +(5.30568 + 7.30264i) q^{94} +(-3.21987 - 9.90975i) q^{95} +(3.50918 + 6.88715i) q^{96} +(-0.0588042 - 0.371275i) q^{97} +(4.71912 + 4.71912i) q^{98} +(-2.73341 - 1.87842i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

Coefficient data

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

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

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

$2$	1.92680	−	0.305175i	1.36245	−	0.215792i	0.567956	−	0.823059i	$-0.307734\pi$
$2$	1.92680	−	0.305175i	1.36245	−	0.215792i	0.794498	+	0.607267i	$0.207734\pi$
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$4$	1.71732	−	0.557991i	0.858659	−	0.278995i
$5$	3.27451	+	0.518632i	1.46441	+	0.231939i	0.837193	−	0.546908i	$-0.184195\pi$
$5$	3.27451	+	0.518632i	1.46441	+	0.231939i	0.627214	+	0.778847i	$0.284195\pi$
$6$	0.305175	−	1.92680i	0.124587	−	0.786613i
$7$	−0.858865	+	1.68562i	−0.324620	+	0.637103i	−0.994426	−	0.105433i	$-0.966377\pi$
$7$	−0.858865	+	1.68562i	−0.324620	+	0.637103i	0.669806	+	0.742536i	$0.266377\pi$
$8$	−0.337739	+	0.172087i	−0.119409	+	0.0608418i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	6.46761			2.04524
$11$	3.31548	−	0.0869796i	0.999656	−	0.0262253i
$11$	3.31548	−	0.0869796i	0.999656	−	0.0262253i
$12$		−	1.80570i		−	0.521259i
$13$	−1.72110	−	3.16825i	−0.477346	−	0.878715i
$13$	−1.72110	−	3.16825i	−0.477346	−	0.878715i
$14$	−1.14045	+	3.50995i	−0.304799	+	0.938075i
$15$	1.50513	−	2.95398i	0.388623	−	0.762715i
$16$	−3.51992	+	2.55737i	−0.879979	+	0.639342i
$17$	−6.07198	+	4.41155i	−1.47267	+	1.06996i	−0.492843	+	0.870118i	$0.664042\pi$
$17$	−6.07198	+	4.41155i	−1.47267	+	1.06996i	−0.979829	+	0.199840i	$0.935958\pi$
$18$	−1.73819	−	0.885653i	−0.409696	−	0.208750i
$19$	−1.42684	−	2.80034i	−0.327340	−	0.642441i	0.667420	−	0.744682i	$-0.267399\pi$
$19$	−1.42684	−	2.80034i	−0.327340	−	0.642441i	−0.994760	+	0.102241i	$0.967399\pi$
$20$	5.91277	−	0.936491i	1.32214	−	0.209406i
$21$	1.33771	+	1.33771i	0.291913	+	0.291913i
$22$	6.36173	−	1.17940i	1.35633	−	0.251448i
$23$		−	2.01554i		−	0.420269i	−0.977673	−	0.210134i	$-0.932610\pi$
$23$		−	2.01554i		−	0.420269i	0.977673	−	0.210134i	$-0.0673902\pi$
$24$	0.0592970	+	0.374387i	0.0121040	+	0.0764214i
$25$	5.69818	+	1.85145i	1.13964	+	0.370290i
$26$	−4.28308	−	5.57936i	−0.839982	−	1.09420i
$27$	−0.809017	+	0.587785i	−0.155695	+	0.113119i
$28$	−0.534386	+	3.37398i	−0.100989	+	0.637622i
$29$	4.56773	−	1.48415i	0.848206	−	0.275599i	0.147512	−	0.989060i	$-0.452874\pi$
$29$	4.56773	−	1.48415i	0.848206	−	0.275599i	0.700694	+	0.713461i	$0.252874\pi$
$30$	1.99860	−	6.15106i	0.364893	−	1.12303i
$31$	−0.994851	−	6.28124i	−0.178680	−	1.12814i	−0.900112	−	0.435658i	$-0.856516\pi$
$31$	−0.994851	−	6.28124i	−0.178680	−	1.12814i	0.721432	−	0.692486i	$-0.243484\pi$
$32$	−5.46567	+	5.46567i	−0.966203	+	0.966203i
$33$	0.941818	−	3.18009i	0.163950	−	0.553583i
$34$	−10.3532	+	10.3532i	−1.77556	+	1.77556i
$35$	−3.68658	+	5.07414i	−0.623146	+	0.857686i
$36$	−1.71732	−	0.557991i	−0.286220	−	0.0929984i
$37$	−2.38503	−	1.21524i	−0.392097	−	0.199784i	0.246816	−	0.969062i	$-0.420616\pi$
$37$	−2.38503	−	1.21524i	−0.392097	−	0.199784i	−0.638913	+	0.769279i	$0.720616\pi$
$38$	−3.60384	−	4.96025i	−0.584619	−	0.804660i
$39$	−3.54504	+	0.657817i	−0.567660	+	0.105335i
$40$	−1.19518	+	0.388338i	−0.188975	+	0.0614016i
$41$	−0.810766	−	1.59122i	−0.126620	−	0.248507i	0.818990	−	0.573808i	$-0.194534\pi$
$41$	−0.810766	−	1.59122i	−0.126620	−	0.248507i	−0.945610	+	0.325301i	$0.894534\pi$
$42$	2.98575	+	2.16927i	0.460711	+	0.334726i
$43$	−7.11034			−1.08432			−0.542158	−	0.840277i	$-0.682393\pi$
$43$	−7.11034			−1.08432			−0.542158	+	0.840277i	$0.682393\pi$
$44$	5.64521	−	1.99938i	0.851047	−	0.301418i
$45$	−2.34429	−	2.34429i	−0.349467	−	0.349467i
$46$	−0.615093	−	3.88354i	−0.0906905	−	0.572597i
$47$	2.10064	+	4.12274i	0.306410	+	0.601363i	0.991944	−	0.126677i	$-0.0404312\pi$
$47$	2.10064	+	4.12274i	0.306410	+	0.601363i	−0.685534	+	0.728041i	$0.740431\pi$
$48$	1.34449	+	4.13791i	0.194060	+	0.597256i
$49$	2.01084	+	2.76768i	0.287263	+	0.395383i
$50$	11.5443	+	1.82843i	1.63261	+	0.258579i
$51$	2.31929	+	7.13804i	0.324766	+	0.999526i
$52$	−4.72353	−	4.48054i	−0.655035	−	0.621339i
$53$	−0.0571124	−	0.0414946i	−0.00784499	−	0.00569972i	0.583856	−	0.811857i	$-0.301543\pi$
$53$	−0.0571124	−	0.0414946i	−0.00784499	−	0.00569972i	−0.591701	+	0.806158i	$0.701543\pi$
$54$	−1.37944	+	1.37944i	−0.187718	+	0.187718i
$55$	10.9017	+	1.43470i	1.46999	+	0.193455i
$56$		−	0.717098i		−	0.0958263i
$57$	−3.10420	+	0.491657i	−0.411161	+	0.0651215i
$58$	8.34818	−	4.25361i	1.09617	−	0.558527i
$59$	−3.93535	−	2.00516i	−0.512339	−	0.261050i	0.178653	−	0.983912i	$-0.442826\pi$
$59$	−3.93535	−	2.00516i	−0.512339	−	0.261050i	−0.690992	+	0.722863i	$0.742826\pi$
$60$	0.936491	−	5.91277i	0.120901	−	0.763336i
$61$	8.95668	+	12.3278i	1.14678	+	1.57841i	0.751327	+	0.659930i	$0.229414\pi$
$61$	8.95668	+	12.3278i	1.14678	+	1.57841i	0.395458	+	0.918484i	$0.370586\pi$
$62$	−3.83376	−	11.7991i	−0.486888	−	1.49849i
$63$	1.68562	−	0.858865i	0.212368	−	0.108207i
$64$	−3.74854	+	5.15942i	−0.468567	+	0.644927i
$65$	−3.99260	−	11.2671i	−0.495221	−	1.39751i
$66$	0.844212	−	6.41482i	0.103915	−	0.789610i
$67$	2.36925	+	2.36925i	0.289450	+	0.289450i	0.836863	−	0.547412i	$-0.184387\pi$
$67$	2.36925	+	2.36925i	0.289450	+	0.289450i	−0.547412	+	0.836863i	$0.684387\pi$
$68$	−7.96592	+	10.9641i	−0.966009	+	1.32960i
$69$	−1.91689	−	0.622836i	−0.230767	−	0.0749806i
$70$	−5.55480	+	10.9019i	−0.663926	+	1.30303i
$71$	7.08697	+	1.12247i	0.841068	+	0.133212i	0.562080	−	0.827083i	$-0.310001\pi$
$71$	7.08697	+	1.12247i	0.841068	+	0.133212i	0.278988	+	0.960295i	$0.410001\pi$
$72$	0.374387	+	0.0592970i	0.0441219	+	0.00698822i
$73$	−6.76307	+	13.2733i	−0.791557	+	1.55352i	0.0407272	+	0.999170i	$0.487033\pi$
$73$	−6.76307	+	13.2733i	−0.791557	+	1.55352i	−0.832285	+	0.554349i	$0.812967\pi$
$74$	−4.96635	−	1.61366i	−0.577326	−	0.187585i
$75$	3.52167	−	4.84716i	0.406647	−	0.559702i
$76$	−4.01290	−	4.01290i	−0.460312	−	0.460312i
$77$	−2.70094	+	5.66334i	−0.307801	+	0.645398i
$78$	−6.62983	+	2.34934i	−0.750680	+	0.266010i
$79$	6.65263	−	9.15656i	0.748479	−	1.03019i	−0.249607	−	0.968347i	$-0.580301\pi$
$79$	6.65263	−	9.15656i	0.748479	−	1.03019i	0.998086	−	0.0618458i	$-0.0196987\pi$
$80$	−12.8523	+	6.54860i	−1.43694	+	0.732155i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	−2.04779	−	2.81854i	−0.226140	−	0.311255i
$83$	−0.0498709	+	0.314873i	−0.00547405	+	0.0345618i	−0.990274	−	0.139130i	$-0.955570\pi$
$83$	−0.0498709	+	0.314873i	−0.00547405	+	0.0345618i	0.984800	+	0.173691i	$0.0555695\pi$
$84$	3.04371	+	1.55085i	0.332096	+	0.169211i
$85$	−22.1708	+	11.2966i	−2.40476	+	1.22528i
$86$	−13.7002	+	2.16990i	−1.47733	+	0.233986i
$87$		−	4.80279i		−	0.514914i
$88$	−1.10480	+	0.599927i	−0.117772	+	0.0639524i
$89$	−0.375714	+	0.375714i	−0.0398256	+	0.0398256i	−0.726739	−	0.686914i	$-0.758965\pi$
$89$	−0.375714	+	0.375714i	−0.0398256	+	0.0398256i	0.686914	+	0.726739i	$0.258965\pi$
$90$	−5.23241	−	3.80157i	−0.551544	−	0.400720i
$91$	6.81865	−	0.180010i	0.714789	−	0.0188702i
$92$	−1.12465	−	3.46132i	−0.117253	−	0.360868i
$93$	−6.28124	−	0.994851i	−0.651334	−	0.103161i
$94$	5.30568	+	7.30264i	0.547239	+	0.753209i
$95$	−3.21987	−	9.90975i	−0.330352	−	1.01672i
$96$	3.50918	+	6.88715i	0.358154	+	0.702916i
$97$	−0.0588042	−	0.371275i	−0.00597066	−	0.0376973i	0.984523	−	0.175255i	$-0.0560749\pi$
$97$	−0.0588042	−	0.371275i	−0.00597066	−	0.0376973i	−0.990494	+	0.137557i	$0.956075\pi$
$98$	4.71912	+	4.71912i	0.476703	+	0.476703i
$99$	−2.73341	−	1.87842i	−0.274718	−	0.188789i
$100$	10.8187			1.08187
$101$	0.304639	+	0.221333i	0.0303127	+	0.0220235i	0.602838	−	0.797863i	$-0.294036\pi$
$101$	0.304639	+	0.221333i	0.0303127	+	0.0220235i	−0.572526	+	0.819887i	$0.694036\pi$
$102$	6.64716	+	13.0458i	0.658167	+	1.29173i
$103$	13.9231	−	4.52388i	1.37188	−	0.445751i	0.471889	−	0.881658i	$-0.343572\pi$
$103$	13.9231	−	4.52388i	1.37188	−	0.445751i	0.899992	+	0.435907i	$0.143572\pi$
$104$	1.12650	+	0.773865i	0.110462	+	0.0758837i
$105$	3.68658	+	5.07414i	0.359773	+	0.495186i
$106$	−0.122707	−	0.0625225i	−0.0119184	−	0.00607273i
$107$	−5.56433	−	1.80796i	−0.537924	−	0.174782i	0.0274401	−	0.999623i	$-0.491264\pi$
$107$	−5.56433	−	1.80796i	−0.537924	−	0.174782i	−0.565364	+	0.824841i	$0.691264\pi$
$108$	−1.06136	+	1.46084i	−0.102130	+	0.140569i
$109$	−6.07843	+	6.07843i	−0.582208	+	0.582208i	−0.935509	−	0.353302i	$-0.885059\pi$
$109$	−6.07843	+	6.07843i	−0.582208	+	0.582208i	0.353302	+	0.935509i	$0.385059\pi$
$110$	21.4433	−	0.562550i	2.04453	−	0.0536371i
$111$	−1.89277	+	1.89277i	−0.179654	+	0.179654i
$112$	−1.28761	−	8.12967i	−0.121668	−	0.768181i
$113$	1.80538	−	5.55640i	0.169836	−	0.522702i	−0.829524	−	0.558471i	$-0.811388\pi$
$113$	1.80538	−	5.55640i	0.169836	−	0.522702i	0.999360	+	0.0357693i	$0.0113882\pi$
$114$	−5.83113	+	1.89465i	−0.546135	+	0.177450i
$115$	1.04532	−	6.59991i	0.0974768	−	0.615445i
$116$	7.01611	−	5.09750i	0.651429	−	0.473291i
$117$	−0.469855	+	3.57481i	−0.0434381	+	0.330491i
$118$	−8.19456	−	2.66257i	−0.754370	−	0.245110i
$119$	−2.22118	−	14.0240i	−0.203615	−	1.28557i
$120$			1.25669i			0.114719i
$121$	10.9849	−	0.576759i	0.998624	−	0.0524326i
$122$	21.0199	+	21.0199i	1.90305	+	1.90305i
$123$	−1.76388	+	0.279371i	−0.159044	+	0.0251900i
$124$	−5.21335	−	10.2318i	−0.468172	−	0.918840i
$125$	2.92862	+	1.49221i	0.261944	+	0.133467i
$126$	2.98575	−	2.16927i	0.265991	−	0.193254i
$127$	−15.5281	+	11.2818i	−1.37789	+	1.00110i	−0.380820	+	0.924649i	$0.624358\pi$
$127$	−15.5281	+	11.2818i	−1.37789	+	1.00110i	−0.997074	+	0.0764489i	$0.975642\pi$
$128$	1.37020	−	2.68916i	0.121109	−	0.237691i
$129$	−2.19721	+	6.76233i	−0.193454	+	0.595390i
$130$	−11.1314	−	20.4910i	−0.976287	−	1.79718i
$131$		−	19.7103i		−	1.72210i	−0.508521	−	0.861050i	$-0.669807\pi$
$131$		−	19.7103i		−	1.72210i	0.508521	−	0.861050i	$-0.330193\pi$
$132$	−0.157059	−	5.98675i	−0.0136702	−	0.521080i
$133$	5.94576			0.515563
$134$	5.28812	+	3.84204i	0.456824	+	0.331902i
$135$	−2.95398	+	1.50513i	−0.254238	+	0.129541i
$136$	1.29158	−	2.53486i	0.110752	−	0.217362i
$137$	2.92743	−	18.4831i	0.250107	−	1.57912i	−0.468349	−	0.883544i	$-0.655151\pi$
$137$	2.92743	−	18.4831i	0.250107	−	1.57912i	0.718456	−	0.695572i	$-0.244849\pi$
$138$	−3.88354	−	0.615093i	−0.330589	−	0.0523602i
$139$	0.950543	−	0.308850i	0.0806240	−	0.0261963i	−0.268427	−	0.963300i	$-0.586504\pi$
$139$	0.950543	−	0.308850i	0.0806240	−	0.0261963i	0.349051	+	0.937104i	$0.386504\pi$
$140$	−3.49971	+	10.7710i	−0.295779	+	0.910315i
$141$	4.57009	−	0.723832i	0.384871	−	0.0609576i
$142$	13.9977			1.17466
$143$	−5.98184	−	10.3546i	−0.500227	−	0.865894i
$144$	4.35086			0.362571
$145$	15.7268	−	2.49088i	1.30604	−	0.206857i
$146$	−8.98042	+	27.6389i	−0.743225	+	2.28741i
$147$	3.25361	−	1.05716i	0.268353	−	0.0871932i
$148$	−4.77395	−	0.756120i	−0.392417	−	0.0621527i
$149$	−1.95775	+	12.3607i	−0.160385	+	1.01263i	0.767849	+	0.640631i	$0.221327\pi$
$149$	−1.95775	+	12.3607i	−0.160385	+	1.01263i	−0.928233	+	0.371998i	$0.878673\pi$
$150$	5.30632	−	10.4142i	0.433259	−	0.850319i
$151$	14.6794	−	7.47950i	1.19459	−	0.608673i	0.260417	−	0.965496i	$-0.416140\pi$
$151$	14.6794	−	7.47950i	1.19459	−	0.608673i	0.934172	+	0.356823i	$0.116140\pi$
$152$	0.963801	+	0.700242i	0.0781746	+	0.0567972i
$153$	7.50538			0.606774
$154$	−3.47586	+	11.7364i	−0.280093	+	0.945746i
$155$		−	21.0840i		−	1.69350i
$156$	−5.72090	+	3.10778i	−0.458038	+	0.248821i
$157$	−6.11406	+	18.8171i	−0.487955	+	1.50177i	0.339700	+	0.940534i	$0.389674\pi$
$157$	−6.11406	+	18.8171i	−0.487955	+	1.50177i	−0.827655	+	0.561237i	$0.810326\pi$
$158$	10.0239	−	19.6731i	0.797462	−	1.56511i
$159$	−0.0571124	+	0.0414946i	−0.00452931	+	0.00329074i
$160$	−20.7321	+	15.0627i	−1.63901	+	1.19081i
$161$	3.39743	+	1.73108i	0.267755	+	0.136428i
$162$	0.885653	+	1.73819i	0.0695835	+	0.136565i
$163$	8.25289	−	1.30713i	0.646416	−	0.102382i	0.175386	−	0.984500i	$-0.443883\pi$
$163$	8.25289	−	1.30713i	0.646416	−	0.102382i	0.471030	+	0.882117i	$0.343883\pi$
$164$	−2.28023	−	2.28023i	−0.178056	−	0.178056i
$165$	4.73329	−	9.92479i	0.368486	−	0.772644i
$166$			0.621917i			0.0482701i
$167$	−3.31622	−	20.9378i	−0.256617	−	1.62022i	−0.693334	−	0.720616i	$-0.743859\pi$
$167$	−3.31622	−	20.9378i	−0.256617	−	1.62022i	0.436717	−	0.899599i	$-0.356141\pi$
$168$	−0.682001	−	0.221595i	−0.0526175	−	0.0170965i
$169$	−7.07565	+	10.9057i	−0.544281	+	0.838903i
$170$	−39.2712	+	28.5322i	−3.01196	+	2.18832i
$171$	−0.491657	+	3.10420i	−0.0375979	+	0.237384i
$172$	−12.2107	+	3.96750i	−0.931058	+	0.302519i
$173$	1.27792	−	3.93302i	0.0971581	−	0.299022i	−0.890652	−	0.454686i	$-0.849752\pi$
$173$	1.27792	−	3.93302i	0.0971581	−	0.299022i	0.987810	+	0.155664i	$0.0497516\pi$
$174$	−1.46569	−	9.25403i	−0.111114	−	0.701546i
$175$	−8.01480	+	8.01480i	−0.605862	+	0.605862i
$176$	−11.4478	+	8.78508i	−0.862909	+	0.662200i
$177$	−3.12311	+	3.12311i	−0.234747	+	0.234747i
$178$	−0.609268	+	0.838586i	−0.0456666	+	0.0628547i
$179$	14.2849	+	4.64146i	1.06771	+	0.346919i	0.789594	−	0.613630i	$-0.210291\pi$
$179$	14.2849	+	4.64146i	1.06771	+	0.346919i	0.278113	+	0.960548i	$0.410291\pi$
$180$	−5.33399	−	2.71780i	−0.397572	−	0.202573i
$181$	−4.96192	−	6.82949i	−0.368816	−	0.507632i	0.583762	−	0.811925i	$-0.301580\pi$
$181$	−4.96192	−	6.82949i	−0.368816	−	0.507632i	−0.952579	+	0.304292i	$0.901580\pi$
$182$	13.0833	−	2.42773i	0.969795	−	0.179955i
$183$	14.4922	−	4.70880i	1.07129	−	0.348085i
$184$	0.346847	+	0.680726i	0.0255699	+	0.0501838i
$185$	−7.17957	−	5.21626i	−0.527852	−	0.383507i
$186$	−12.4063			−0.909674
$187$	−19.7478	+	15.1546i	−1.44410	+	1.10821i
$188$	5.90792	+	5.90792i	0.430879	+	0.430879i
$189$	−0.295945	−	1.86852i	−0.0215268	−	0.135915i
$190$	−9.22826	−	18.1115i	−0.669489	−	1.31395i
$191$	5.27272	+	16.2278i	0.381521	+	1.17420i	0.938973	+	0.343991i	$0.111779\pi$
$191$	5.27272	+	16.2278i	0.381521	+	1.17420i	−0.557453	+	0.830209i	$0.688221\pi$
$192$	3.74854	+	5.15942i	0.270527	+	0.372349i
$193$	26.8455	+	4.25191i	1.93238	+	0.306059i	0.998651	−	0.0519167i	$-0.0165330\pi$
$193$	26.8455	+	4.25191i	1.93238	+	0.306059i	0.933731	+	0.357976i	$0.116533\pi$
$194$	−0.226608	−	0.697427i	−0.0162695	−	0.0500724i
$195$	−11.9494	+	0.315461i	−0.855717	+	0.0225906i
$196$	4.99759	+	3.63096i	0.356971	+	0.259355i
$197$	13.8667	−	13.8667i	0.987962	−	0.987962i	−0.0119663	−	0.999928i	$-0.503809\pi$
$197$	13.8667	−	13.8667i	0.987962	−	0.987962i	0.999928	+	0.0119663i	$0.00380909\pi$
$198$	−5.83998	−	2.78518i	−0.415030	−	0.197934i
$199$		−	20.8070i		−	1.47497i	−0.675365	−	0.737484i	$-0.736014\pi$
$199$		−	20.8070i		−	1.47497i	0.675365	−	0.737484i	$-0.263986\pi$
$200$	−2.24311	+	0.355273i	−0.158612	+	0.0251216i
$201$	2.98543	−	1.52115i	0.210576	−	0.107294i
$202$	0.654524	+	0.333497i	0.0460521	+	0.0234647i
$203$	−1.42136	+	8.97412i	−0.0997600	+	0.629860i
$204$	7.96592	+	10.9641i	0.557726	+	0.767644i
$205$	−1.82961	−	5.63096i	−0.127785	−	0.393283i
$206$	25.4464	−	12.9656i	1.77294	−	0.903356i
$207$	−1.18470	+	1.63060i	−0.0823426	+	0.113335i
$208$	14.1605	+	6.75050i	0.981854	+	0.468063i
$209$	−4.97425	−	9.16037i	−0.344076	−	0.633636i
$210$	8.65181	+	8.65181i	0.597032	+	0.597032i
$211$	0.566687	−	0.779978i	0.0390123	−	0.0536959i	−0.789065	−	0.614309i	$-0.789435\pi$
$211$	0.566687	−	0.779978i	0.0390123	−	0.0536959i	0.828078	+	0.560614i	$0.189435\pi$
$212$	−0.121234	−	0.0393912i	−0.00832637	−	0.00270540i
$213$	3.25752	−	6.39324i	0.223202	−	0.438058i
$214$	−11.2731	−	1.78548i	−0.770614	−	0.122053i
$215$	−23.2829	−	3.68765i	−1.58788	−	0.251495i
$216$	0.172087	−	0.337739i	0.0117090	−	0.0229802i
$217$	11.4422	+	3.71780i	0.776748	+	0.252381i
$218$	−9.85694	+	13.5669i	−0.667596	+	0.918867i
$219$	10.5337	+	10.5337i	0.711803	+	0.711803i
$220$	19.5222	−	3.61921i	1.31619	−	0.244007i
$221$	24.4274	+	11.6449i	1.64316	+	0.783318i
$222$	−3.06937	+	4.22463i	−0.206003	+	0.283538i
$223$	0.629418	−	0.320704i	0.0421489	−	0.0214760i	−0.432789	−	0.901495i	$-0.642470\pi$
$223$	0.629418	−	0.320704i	0.0421489	−	0.0214760i	0.474938	+	0.880019i	$0.342470\pi$
$224$	−4.51876	−	13.9073i	−0.301922	−	0.929221i
$225$	−3.52167	−	4.84716i	−0.234778	−	0.323144i
$226$	1.78294	−	11.2570i	0.118599	−	0.748807i
$227$	−3.64321	−	1.85631i	−0.241808	−	0.123208i	0.328887	−	0.944369i	$-0.393326\pi$
$227$	−3.64321	−	1.85631i	−0.241808	−	0.123208i	−0.570696	+	0.821162i	$0.693326\pi$
$228$	−5.05655	+	2.57644i	−0.334879	+	0.170629i
$229$	−21.6227	+	3.42470i	−1.42887	+	0.226310i	−0.822451	−	0.568837i	$-0.807394\pi$
$229$	−21.6227	+	3.42470i	−1.42887	+	0.226310i	−0.606417	+	0.795147i	$0.707394\pi$
$230$		−	13.0357i		−	0.859550i
$231$	4.55152	+	4.31881i	0.299468	+	0.284157i
$232$	−1.28730	+	1.28730i	−0.0845153	+	0.0845153i
$233$	−4.20706	−	3.05661i	−0.275614	−	0.200245i	0.441388	−	0.897316i	$-0.354486\pi$
$233$	−4.20706	−	3.05661i	−0.275614	−	0.200245i	−0.717002	+	0.697071i	$0.754486\pi$
$234$	0.185625	+	7.03133i	0.0121347	+	0.459652i
$235$	4.74039	+	14.5894i	0.309229	+	0.951709i
$236$	−7.87711	−	1.24761i	−0.512756	−	0.0812126i
$237$	−6.65263	−	9.15656i	−0.432135	−	0.594782i
$238$	−8.55953	−	26.3435i	−0.554832	−	1.70760i
$239$	−7.86879	−	15.4434i	−0.508990	−	0.998948i	−0.992342	−	0.123522i	$-0.960581\pi$
$239$	−7.86879	−	15.4434i	−0.508990	−	0.998948i	0.483352	−	0.875426i	$-0.339419\pi$
$240$	2.25649	+	14.2469i	0.145656	+	0.919636i
$241$	13.0030	+	13.0030i	0.837599	+	0.837599i	0.988542	−	0.150944i	$-0.0482312\pi$
$241$	13.0030	+	13.0030i	0.837599	+	0.837599i	−0.150944	+	0.988542i	$0.548231\pi$
$242$	20.9896	−	4.46361i	1.34927	−	0.286932i
$243$	1.00000			0.0641500
$244$	22.2603	+	16.1730i	1.42507	+	1.03537i
$245$	5.14911	+	10.1057i	0.328965	+	0.645630i
$246$	−3.31339	+	1.07659i	−0.211254	+	0.0686406i
$247$	−6.41644	+	9.34025i	−0.408268	+	0.594306i
$248$	1.41692	+	1.95022i	0.0899743	+	0.123839i
$249$	0.284051	+	0.144731i	0.0180010	+	0.00917196i
$250$	6.09826	+	1.98145i	0.385688	+	0.125318i
$251$	−6.48893	+	8.93124i	−0.409578	+	0.563735i	−0.963115	−	0.269089i	$-0.913277\pi$
$251$	−6.48893	+	8.93124i	−0.409578	+	0.563735i	0.553538	+	0.832824i	$0.313277\pi$
$252$	2.41550	−	2.41550i	0.152162	−	0.152162i
$253$	−0.175311	−	6.68249i	−0.0110217	−	0.420124i
$254$	−26.4766	+	26.4766i	−1.66129	+	1.66129i
$255$	3.89253	+	24.5765i	0.243760	+	1.53904i
$256$	5.76087	−	17.7301i	0.360055	−	1.10813i
$257$	6.22217	−	2.02171i	0.388128	−	0.126111i	−0.108451	−	0.994102i	$-0.534589\pi$
$257$	6.22217	−	2.02171i	0.388128	−	0.126111i	0.496580	+	0.867991i	$0.334589\pi$
$258$	−2.16990	+	13.7002i	−0.135092	+	0.852937i
$259$	4.09685	−	2.97653i	0.254566	−	0.184953i
$260$	−13.1435	−	17.1214i	−0.815125	−	1.06182i
$261$	−4.56773	−	1.48415i	−0.282735	−	0.0918663i
$262$	−6.01511	−	37.9779i	−0.371615	−	2.34628i
$263$			19.4535i			1.19955i	0.800167	+	0.599777i	$0.204744\pi$
$263$			19.4535i			1.19955i	−0.800167	+	0.599777i	$0.795256\pi$
$264$	0.229162	+	1.23612i	0.0141040	+	0.0760776i
$265$	−0.165495	−	0.165495i	−0.0101663	−	0.0101663i
$266$	11.4563	−	1.81450i	0.702431	−	0.111254i
$267$	0.241223	+	0.473428i	0.0147626	+	0.0289733i
$268$	5.39079	+	2.74674i	0.329295	+	0.167784i
$269$	−19.3202	+	14.0370i	−1.17798	+	0.855849i	−0.991942	−	0.126694i	$-0.959563\pi$
$269$	−19.3202	+	14.0370i	−1.17798	+	0.855849i	−0.186033	+	0.982543i	$0.559563\pi$
$270$	−5.23241	+	3.80157i	−0.318434	+	0.231356i
$271$	6.18679	−	12.1423i	0.375821	−	0.737590i	−0.623189	−	0.782071i	$-0.714163\pi$
$271$	6.18679	−	12.1423i	0.375821	−	0.737590i	0.999010	+	0.0444808i	$0.0141634\pi$
$272$	10.0909	−	31.0566i	0.611850	−	1.88308i
$273$	1.93588	−	6.54055i	0.117165	−	0.395852i
$274$		−	36.5066i		−	2.20544i
$275$	19.0532	+	5.64283i	1.14895	+	0.340275i
$276$	−3.63945			−0.219069
$277$	−11.5427	−	8.38630i	−0.693536	−	0.503884i	0.184284	−	0.982873i	$-0.441003\pi$
$277$	−11.5427	−	8.38630i	−0.693536	−	0.503884i	−0.877821	+	0.478989i	$0.841003\pi$
$278$	1.73725	−	0.885175i	0.104194	−	0.0530893i
$279$	−2.88717	+	5.66639i	−0.172850	+	0.339238i
$280$	0.371910	−	2.34815i	0.0222259	−	0.140329i
$281$	−13.3159	−	2.10904i	−0.794362	−	0.125815i	−0.253953	−	0.967217i	$-0.581731\pi$
$281$	−13.3159	−	2.10904i	−0.794362	−	0.125815i	−0.540410	+	0.841402i	$0.681731\pi$
$282$	8.58476	−	2.78936i	0.511215	−	0.166104i
$283$	1.15970	−	3.56919i	0.0689371	−	0.212167i	−0.910653	−	0.413172i	$-0.864421\pi$
$283$	1.15970	−	3.56919i	0.0689371	−	0.212167i	0.979590	+	0.201005i	$0.0644209\pi$
$284$	12.7969	−	2.02683i	0.759356	−	0.120270i
$285$	−10.4197			−0.617211
$286$	−14.6858	−	18.1257i	−0.868389	−	1.07180i
$287$	3.37852			0.199428
$288$	7.63446	−	1.20918i	0.449865	−	0.0712516i
$289$	12.1539	−	37.4057i	0.714933	−	2.20034i
$290$	29.5423	−	9.59887i	1.73478	−	0.563665i
$291$	−0.371275	−	0.0588042i	−0.0217645	−	0.00344716i
$292$	−4.20798	+	26.5682i	−0.246254	+	1.55478i
$293$	−3.50817	+	6.88518i	−0.204950	+	0.402236i	−0.970486	−	0.241156i	$-0.922474\pi$
$293$	−3.50817	+	6.88518i	−0.204950	+	0.402236i	0.765537	+	0.643392i	$0.222474\pi$
$294$	5.94644	−	3.02986i	0.346803	−	0.176705i
$295$	−11.8464	−	8.60692i	−0.689725	−	0.501114i
$296$	1.01465			0.0589751
$297$	−2.63116	+	2.01916i	−0.152675	+	0.117164i
$298$			24.4141i			1.41427i
$299$	−6.38574	+	3.46894i	−0.369297	+	0.200614i
$300$	3.34315	−	10.2892i	0.193017	−	0.594045i
$301$	6.10682	−	11.9853i	0.351991	−	0.690822i
$302$	26.0016	−	18.8913i	1.49623	−	1.08707i
$303$	0.304639	−	0.221333i	0.0175010	−	0.0127153i
$304$	12.1839	+	6.20799i	0.698792	+	0.356052i
$305$	22.9352	+	45.0128i	1.31326	+	2.57742i
$306$	14.4614	−	2.29046i	0.826702	−	0.130937i
$307$	6.63638	+	6.63638i	0.378758	+	0.378758i	0.870654	−	0.491896i	$-0.163696\pi$
$307$	6.63638	+	6.63638i	0.378758	+	0.378758i	−0.491896	+	0.870654i	$0.663696\pi$
$308$	−1.47828	+	11.2329i	−0.0842328	+	0.640051i
$309$		−	14.6396i		−	0.832817i
$310$	−6.43431	−	40.6246i	−0.365444	−	2.30732i
$311$	−19.7622	−	6.42111i	−1.12061	−	0.364108i	−0.310609	−	0.950538i	$-0.600533\pi$
$311$	−19.7622	−	6.42111i	−1.12061	−	0.364108i	−0.810000	+	0.586430i	$0.800533\pi$
$312$	1.08410	−	0.832224i	0.0613748	−	0.0471154i
$313$	−0.0732142	+	0.0531932i	−0.00413831	+	0.00300666i	−0.589852	−	0.807511i	$-0.700814\pi$
$313$	−0.0732142	+	0.0531932i	−0.00413831	+	0.00300666i	0.585714	+	0.810518i	$0.300814\pi$
$314$	−6.03805	+	38.1227i	−0.340747	+	2.15139i
$315$	5.96501	−	1.93815i	0.336090	−	0.109202i
$316$	6.31541	−	19.4368i	0.355269	−	1.09341i
$317$	4.09196	+	25.8356i	0.229827	+	1.45107i	0.785082	+	0.619392i	$0.212621\pi$
$317$	4.09196	+	25.8356i	0.229827	+	1.45107i	−0.555255	+	0.831680i	$0.687379\pi$
$318$	−0.0973811	+	0.0973811i	−0.00546086	+	0.00546086i
$319$	15.0151	−	5.31796i	0.840687	−	0.297749i
$320$	−14.9505	+	14.9505i	−0.835756	+	0.835756i
$321$	−3.43895	+	4.73330i	−0.191943	+	0.264187i
$322$	7.07445	+	2.29863i	0.394244	+	0.128097i
$323$	21.0176	+	10.7090i	1.16945	+	0.595865i
$324$	1.06136	+	1.46084i	0.0589645	+	0.0811577i
$325$	−3.94125	−	21.2398i	−0.218621	−	1.17817i
$326$	15.5028	−	5.03716i	0.858619	−	0.278982i
$327$	3.90259	+	7.65927i	0.215814	+	0.423558i
$328$	0.547655	+	0.397895i	0.0302392	+	0.0219701i
$329$	−8.75353			−0.482598
$330$	6.09131	−	20.5676i	0.335316	−	1.13221i
$331$	−5.37050	−	5.37050i	−0.295190	−	0.295190i	0.543937	−	0.839126i	$-0.316933\pi$
$331$	−5.37050	−	5.37050i	−0.295190	−	0.295190i	−0.839126	+	0.543937i	$0.816933\pi$
$332$	0.0900517	+	0.568564i	0.00494223	+	0.0312040i
$333$	1.21524	+	2.38503i	0.0665945	+	0.130699i
$334$	−12.7794	−	39.3309i	−0.699258	−	2.15209i
$335$	6.52938	+	8.98693i	0.356738	+	0.491008i
$336$	−8.12967	−	1.28761i	−0.443510	−	0.0702450i
$337$	2.29881	+	7.07500i	0.125224	+	0.385400i	0.993942	−	0.109908i	$-0.0350555\pi$
$337$	2.29881	+	7.07500i	0.125224	+	0.385400i	−0.868718	+	0.495307i	$0.835055\pi$
$338$	−10.3052	+	23.1725i	−0.560529	+	1.26042i
$339$	−4.72655	−	3.43404i	−0.256711	−	0.186512i
$340$	−31.7709	+	31.7709i	−1.72302	+	1.72302i
$341$	−3.84475	−	20.7388i	−0.208205	−	1.12307i
$342$			6.13121i			0.331538i
$343$	−19.4719	+	3.08405i	−1.05139	+	0.166523i
$344$	2.40144	−	1.22359i	0.129477	−	0.0659718i
$345$	−5.95386	−	3.03364i	−0.320545	−	0.163326i
$346$	1.26203	−	7.96813i	0.0678471	−	0.428370i
$347$	−3.81965	−	5.25729i	−0.205049	−	0.282226i	0.694090	−	0.719888i	$-0.255807\pi$
$347$	−3.81965	−	5.25729i	−0.205049	−	0.282226i	−0.899140	+	0.437662i	$0.855807\pi$
$348$	−2.67991	−	8.24793i	−0.143658	−	0.442135i
$349$	−20.0015	+	10.1913i	−1.07066	+	0.545527i	−0.898243	−	0.439498i	$-0.855156\pi$
$349$	−20.0015	+	10.1913i	−1.07066	+	0.545527i	−0.172413	+	0.985025i	$0.555156\pi$
$350$	−12.9970	+	17.8888i	−0.694719	+	0.956199i
$351$	3.25465	+	1.55153i	0.173720	+	0.0828148i
$352$	−17.6459	+	18.5967i	−0.940532	+	0.991210i
$353$	−1.13082	−	1.13082i	−0.0601876	−	0.0601876i	0.676372	−	0.736560i	$-0.263551\pi$
$353$	−1.13082	−	1.13082i	−0.0601876	−	0.0601876i	−0.736560	+	0.676372i	$0.763551\pi$
$354$	−5.06452	+	6.97071i	−0.269176	+	0.370489i
$355$	22.6242	+	7.35105i	1.20077	+	0.390153i
$356$	−0.435576	+	0.854866i	−0.0230855	+	0.0453078i
$357$	−14.0240	−	2.22118i	−0.742227	−	0.117557i
$358$	28.9407	+	4.58376i	1.52956	+	0.242259i
$359$	−4.19757	+	8.23819i	−0.221539	+	0.434795i	−0.974848	−	0.222872i	$-0.928457\pi$
$359$	−4.19757	+	8.23819i	−0.221539	+	0.434795i	0.753309	+	0.657667i	$0.228457\pi$
$360$	1.19518	+	0.388338i	0.0629916	+	0.0204672i
$361$	5.36192	−	7.38004i	0.282206	−	0.388423i
$362$	−11.6448	−	11.6448i	−0.612038	−	0.612038i
$363$	2.84598	−	10.6255i	0.149375	−	0.557692i
$364$	11.6094	−	4.11388i	0.608495	−	0.215626i
$365$	−29.0297	+	39.9560i	−1.51948	+	2.09139i
$366$	26.4866	−	13.4956i	1.38448	−	0.705426i
$367$	1.43377	+	4.41270i	0.0748423	+	0.230341i	0.981478	−	0.191572i	$-0.0613587\pi$
$367$	1.43377	+	4.41270i	0.0748423	+	0.230341i	−0.906636	+	0.421913i	$0.861359\pi$
$368$	5.15447	+	7.09453i	0.268696	+	0.369828i
$369$	−0.279371	+	1.76388i	−0.0145435	+	0.0918239i
$370$	−15.4255	−	7.85967i	−0.801932	−	0.408605i
$371$	0.118996	−	0.0606314i	0.00617796	−	0.00314783i
$372$	−11.3420	+	1.79640i	−0.588055	+	0.0931388i
$373$			18.9397i			0.980661i	0.871537	+	0.490330i	$0.163124\pi$
$373$			18.9397i			0.980661i	−0.871537	+	0.490330i	$0.836876\pi$
$374$	−33.4254	+	35.2264i	−1.72838	+	1.82151i
$375$	2.32417	−	2.32417i	0.120020	−	0.120020i
$376$	−1.41894	−	1.03092i	−0.0731761	−	0.0531655i
$377$	−12.5637	−	11.9174i	−0.647061	−	0.613775i
$378$	−1.14045	−	3.50995i	−0.0586586	−	0.180533i
$379$	9.11953	+	1.44439i	0.468439	+	0.0741934i	0.386192	−	0.922419i	$-0.373790\pi$
$379$	9.11953	+	1.44439i	0.468439	+	0.0741934i	0.0822471	+	0.996612i	$0.473790\pi$
$380$	−11.0591	−	15.2215i	−0.567319	−	0.780848i
$381$	5.93119	+	18.2543i	0.303864	+	0.935198i
$382$	15.1118	+	29.6586i	0.773187	+	1.51746i
$383$	5.21071	+	32.8991i	0.266255	+	1.68107i	0.651810	+	0.758382i	$0.274010\pi$
$383$	5.21071	+	32.8991i	0.266255	+	1.68107i	−0.385555	+	0.922685i	$0.625990\pi$
$384$	−2.13413	−	2.13413i	−0.108907	−	0.108907i
$385$	−11.7814	+	17.1439i	−0.600438	+	0.873734i
$386$	53.0235			2.69883
$387$	5.75238	+	4.17935i	0.292410	+	0.212448i
$388$	−0.308153	−	0.604785i	−0.0156441	−	0.0307033i
$389$	12.9213	−	4.19839i	0.655136	−	0.212867i	0.0374588	−	0.999298i	$-0.488074\pi$
$389$	12.9213	−	4.19839i	0.655136	−	0.212867i	0.617677	+	0.786432i	$0.288074\pi$
$390$	−22.9279	+	4.25450i	−1.16100	+	0.215435i
$391$	8.89165	+	12.2383i	0.449670	+	0.618918i
$392$	−1.15542	−	0.588716i	−0.0583576	−	0.0297347i
$393$	−18.7456	−	6.09083i	−0.945592	−	0.307242i
$394$	22.4866	−	30.9502i	1.13286	−	1.55925i
$395$	26.5330	−	26.5330i	1.33502	−	1.33502i
$396$	−5.74228	−	1.70064i	−0.288560	−	0.0854602i
$397$	14.5081	−	14.5081i	0.728139	−	0.728139i	−0.242110	−	0.970249i	$-0.577839\pi$
$397$	14.5081	−	14.5081i	0.728139	−	0.728139i	0.970249	+	0.242110i	$0.0778394\pi$
$398$	−6.34978	−	40.0909i	−0.318285	−	2.00958i
$399$	1.83734	−	5.65475i	0.0919821	−	0.283092i
$400$	−24.7919	+	8.05539i	−1.23960	+	0.402769i
$401$	−0.847031	+	5.34794i	−0.0422987	+	0.267063i	−0.999770	−	0.0214665i	$-0.993166\pi$
$401$	−0.847031	+	5.34794i	−0.0422987	+	0.267063i	0.957471	+	0.288530i	$0.0931665\pi$
$402$	5.28812	−	3.84204i	0.263747	−	0.191624i
$403$	−18.1883	+	13.9626i	−0.906025	+	0.695525i
$404$	0.646664	+	0.210114i	0.0321727	+	0.0104535i
$405$	0.518632	+	3.27451i	0.0257710	+	0.162712i
$406$			17.7251i			0.879683i
$407$	−8.01325	−	3.82165i	−0.397202	−	0.189432i
$408$	−2.01168	−	2.01168i	−0.0995928	−	0.0995928i
$409$	−10.0083	+	1.58516i	−0.494878	+	0.0783809i	−0.398885	−	0.917001i	$-0.630603\pi$
$409$	−10.0083	+	1.58516i	−0.494878	+	0.0783809i	−0.0959930	+	0.995382i	$0.530603\pi$
$410$	−5.24372	−	10.2914i	−0.258969	−	0.508255i
$411$	−16.6738	−	8.49574i	−0.822459	−	0.419064i
$412$	21.3861	−	15.5379i	1.05362	−	0.765496i
$413$	6.75987	−	4.91133i	0.332631	−	0.241671i
$414$	−1.78507	+	3.50339i	−0.0877313	+	0.172182i
$415$	−0.326606	+	1.00519i	−0.0160325	+	0.0493429i
$416$	26.7236	+	7.90967i	1.31023	+	0.387804i
$417$		−	0.999460i		−	0.0489438i
$418$	−12.3799	−	16.1322i	−0.605521	−	0.789051i
$419$	−23.1954			−1.13317			−0.566585	−	0.824004i	$-0.691736\pi$
$419$	−23.1954			−1.13317			−0.566585	+	0.824004i	$0.691736\pi$
$420$	9.16235	+	6.65684i	0.447077	+	0.324821i
$421$	−0.858851	+	0.437606i	−0.0418578	+	0.0213276i	−0.474794	−	0.880097i	$-0.657477\pi$
$421$	−0.858851	+	0.437606i	−0.0418578	+	0.0213276i	0.432936	+	0.901425i	$0.357477\pi$
$422$	0.853863	−	1.67580i	0.0415654	−	0.0815767i
$423$	0.723832	−	4.57009i	0.0351939	−	0.222205i
$424$	0.0264298	+	0.00418606i	0.00128354	+	0.000203293i
$425$	−42.7670	+	13.8958i	−2.07450	+	0.674047i
$426$	4.32553	−	13.3126i	0.209573	−	0.644999i
$427$	−28.4725	+	4.50961i	−1.37788	+	0.218235i
$428$	−10.5646			−0.510657
$429$	−11.6963	+	2.48933i	−0.564702	+	0.120186i
$430$	−45.9869			−2.21768
$431$	−7.93444	+	1.25669i	−0.382189	+	0.0605327i	−0.344573	−	0.938760i	$-0.611976\pi$
$431$	−7.93444	+	1.25669i	−0.382189	+	0.0605327i	−0.0376157	+	0.999292i	$0.511976\pi$
$432$	1.34449	−	4.13791i	0.0646867	−	0.199085i
$433$	−3.62560	+	1.17803i	−0.174235	+	0.0566124i	−0.394835	−	0.918752i	$-0.629198\pi$
$433$	−3.62560	+	1.17803i	−0.174235	+	0.0566124i	0.220600	+	0.975364i	$0.429198\pi$
$434$	23.1814	+	3.67158i	1.11274	+	0.176241i
$435$	2.49088	−	15.7268i	0.119429	−	0.754043i
$436$	−7.04689	+	13.8303i	−0.337485	+	0.662351i
$437$	−5.64419	+	2.87586i	−0.269998	+	0.137571i
$438$	23.5110	+	17.0818i	1.12340	+	0.816198i
$439$	−31.7509			−1.51539			−0.757694	−	0.652610i	$-0.773674\pi$
$439$	−31.7509			−1.51539			−0.757694	+	0.652610i	$0.773674\pi$
$440$	−3.92883	+	1.39148i	−0.187299	+	0.0663364i
$441$		−	3.42105i		−	0.162907i
$442$	50.6204	+	14.9827i	2.40777	+	0.712654i
$443$	3.02830	−	9.32014i	0.143879	−	0.442813i	−0.852986	−	0.521933i	$-0.825211\pi$
$443$	3.02830	−	9.32014i	0.143879	−	0.442813i	0.996865	+	0.0791199i	$0.0252110\pi$
$444$	−2.19435	+	4.30665i	−0.104139	+	0.204384i
$445$	−1.42514	+	1.03542i	−0.0675581	+	0.0490838i
$446$	1.11489	−	0.810017i	0.0527917	−	0.0383554i
$447$	11.1508	+	5.68160i	0.527413	+	0.268730i
$448$	−5.47732	−	10.7498i	−0.258779	−	0.507882i
$449$	11.3754	−	1.80168i	0.536837	−	0.0850267i	0.117872	−	0.993029i	$-0.462393\pi$
$449$	11.3754	−	1.80168i	0.536837	−	0.0850267i	0.418965	+	0.908002i	$0.362393\pi$
$450$	−8.26478	−	8.26478i	−0.389606	−	0.389606i
$451$	−2.82649	−	5.20514i	−0.133094	−	0.245100i
$452$		−	10.5495i		−	0.496206i
$453$	−2.57726	−	16.2722i	−0.121090	−	0.764534i
$454$	−7.58624	−	2.46492i	−0.356040	−	0.115684i
$455$	22.4211	+	2.94693i	1.05112	+	0.138154i
$456$	0.963801	−	0.700242i	0.0451341	−	0.0327919i
$457$	−5.97055	+	37.6966i	−0.279291	+	1.76337i	0.305504	+	0.952191i	$0.401175\pi$
$457$	−5.97055	+	37.6966i	−0.279291	+	1.76337i	−0.584795	+	0.811181i	$0.698825\pi$
$458$	−40.6175	+	13.1974i	−1.89793	+	0.616675i
$459$	2.31929	−	7.13804i	0.108255	−	0.333175i
$460$	−1.88753	−	11.9174i	−0.0880067	−	0.555653i
$461$	16.7685	−	16.7685i	0.780988	−	0.780988i	−0.199010	−	0.979997i	$-0.563773\pi$
$461$	16.7685	−	16.7685i	0.780988	−	0.780988i	0.979997	+	0.199010i	$0.0637726\pi$
$462$	10.0879	+	6.93248i	0.469330	+	0.322528i
$463$	−14.0673	+	14.0673i	−0.653765	+	0.653765i	−0.953897	−	0.300133i	$-0.902969\pi$
$463$	−14.0673	+	14.0673i	−0.653765	+	0.653765i	0.300133	+	0.953897i	$0.402969\pi$
$464$	−12.2825	+	16.9054i	−0.570202	+	0.784815i
$465$	−20.0520	−	6.51530i	−0.929891	−	0.302140i
$466$	−9.03897	−	4.60559i	−0.418722	−	0.213350i
$467$	−19.8883	−	27.3739i	−0.920321	−	1.26671i	−0.963517	−	0.267646i	$-0.913754\pi$
$467$	−19.8883	−	27.3739i	−0.920321	−	1.26671i	0.0431965	−	0.999067i	$-0.486246\pi$
$468$	1.18782	+	6.40125i	0.0549068	+	0.295898i
$469$	−6.02853	+	1.95879i	−0.278371	+	0.0904484i
$470$	13.5861	+	26.6643i	0.626681	+	1.22993i
$471$	16.0068	+	11.6296i	0.737555	+	0.535865i
$472$	1.67418			0.0770605
$473$	−23.5742	+	0.618454i	−1.08394	+	0.0284366i
$474$	−15.6126	−	15.6126i	−0.717113	−	0.717113i
$475$	−2.94572	−	18.5985i	−0.135159	−	0.853359i
$476$	−11.6397	−	22.8442i	−0.533505	−	1.04706i
$477$	0.0218150	+	0.0671397i	0.000998840	+	0.00307411i
$478$	−19.8745	−	27.3549i	−0.909040	−	1.25119i
$479$	−16.9535	−	2.68518i	−0.774627	−	0.122689i	−0.243409	−	0.969924i	$-0.578266\pi$
$479$	−16.9535	−	2.68518i	−0.774627	−	0.122689i	−0.531218	+	0.847235i	$0.678266\pi$
$480$	7.91895	+	24.3720i	0.361449	+	1.11243i
$481$	0.254702	+	9.64793i	0.0116134	+	0.439908i
$482$	29.0225	+	21.0860i	1.32194	+	0.960443i
$483$	2.69621	−	2.69621i	0.122682	−	0.122682i
$484$	18.5427	−	7.11993i	0.842850	−	0.323633i
$485$		−	1.24624i		−	0.0565889i
$486$	1.92680	−	0.305175i	0.0874015	−	0.0138430i
$487$	18.7902	−	9.57410i	0.851466	−	0.433844i	0.0269197	−	0.999638i	$-0.491430\pi$
$487$	18.7902	−	9.57410i	0.851466	−	0.433844i	0.824547	+	0.565794i	$0.191430\pi$
$488$	−5.14647	−	2.62226i	−0.232970	−	0.118704i
$489$	1.30713	−	8.25289i	0.0591104	−	0.373208i
$490$	13.0053	+	17.9003i	0.587521	+	0.808653i
$491$	4.63971	+	14.2796i	0.209387	+	0.644428i	0.999505	+	0.0314722i	$0.0100196\pi$
$491$	4.63971	+	14.2796i	0.209387	+	0.644428i	−0.790117	+	0.612956i	$0.789980\pi$
$492$	−2.87326	+	1.46400i	−0.129536	+	0.0660021i
$493$	−21.1878	+	29.1625i	−0.954250	+	1.31341i
$494$	−9.51279	+	19.9549i	−0.428001	+	0.897815i
$495$	−7.97637	−	7.56856i	−0.358511	−	0.340181i
$496$	19.5652	+	19.5652i	0.878505	+	0.878505i
$497$	−7.97879	+	10.9819i	−0.357898	+	0.492604i
$498$	0.591478	+	0.192183i	0.0265048	+	0.00861192i
$499$	1.06238	−	2.08504i	0.0475586	−	0.0933391i	−0.866004	−	0.500037i	$-0.833320\pi$
$499$	1.06238	−	2.08504i	0.0475586	−	0.0933391i	0.913563	+	0.406698i	$0.133320\pi$
$500$	5.86202	+	0.928453i	0.262157	+	0.0415217i
$501$	−20.9378	−	3.31622i	−0.935432	−	0.148158i
$502$	−9.77728	+	19.1890i	−0.436381	+	0.856447i
$503$	−14.0330	−	4.55960i	−0.625700	−	0.203302i	−0.0210307	−	0.999779i	$-0.506695\pi$
$503$	−14.0330	−	4.55960i	−0.625700	−	0.203302i	−0.604669	+	0.796477i	$0.706695\pi$
$504$	−0.421500	+	0.580145i	−0.0187751	+	0.0258417i
$505$	0.882753	+	0.882753i	0.0392820	+	0.0392820i
$506$	−2.37712	−	12.8223i	−0.105676	−	0.570022i
$507$	8.18548	+	10.0994i	0.363530	+	0.448530i
$508$	−20.3715	+	28.0390i	−0.903839	+	1.24403i
$509$	−25.5449	+	13.0158i	−1.13226	+	0.576913i	−0.916699	−	0.399578i	$-0.869157\pi$
$509$	−25.5449	+	13.0158i	−1.13226	+	0.576913i	−0.215557	+	0.976491i	$0.569157\pi$
$510$	15.0003	+	46.1661i	0.664223	+	2.04427i
$511$	−16.5651	−	22.7999i	−0.732797	−	1.00861i
$512$	4.74498	−	29.9586i	0.209700	−	1.32400i
$513$	2.80034	+	1.42684i	0.123638	+	0.0629966i
$514$	11.3719	−	5.79428i	0.501594	−	0.255575i
$515$	47.9375	−	7.59255i	2.11238	−	0.334568i
$516$			12.8391i			0.565210i
$517$	7.32324	+	13.4862i	0.322076	+	0.593121i
$518$	6.98544	−	6.98544i	0.306923	−	0.306923i
$519$	−3.34563	−	2.43074i	−0.146857	−	0.106698i
$520$	3.28737	+	3.11827i	0.144161	+	0.136745i
$521$	−12.2103	−	37.5793i	−0.534941	−	1.64638i	−0.743777	−	0.668428i	$-0.766967\pi$
$521$	−12.2103	−	37.5793i	−0.534941	−	1.64638i	0.208836	−	0.977951i	$-0.433033\pi$
$522$	−9.25403	−	1.46569i	−0.405038	−	0.0641517i
$523$	−21.0953	−	29.0351i	−0.922431	−	1.26962i	−0.962740	−	0.270430i	$-0.912834\pi$
$523$	−21.0953	−	29.0351i	−0.922431	−	1.26962i	0.0403082	−	0.999187i	$-0.487166\pi$
$524$	−10.9982	−	33.8489i	−0.480458	−	1.47870i
$525$	5.14582	+	10.0992i	0.224582	+	0.440767i
$526$	5.93673	+	37.4830i	0.258854	+	1.63434i
$527$	33.7507	+	33.7507i	1.47020	+	1.47020i
$528$	4.81754	+	13.6022i	0.209657	+	0.591961i
$529$	18.9376			0.823374
$530$	−0.369381	−	0.268371i	−0.0160449	−	0.0116573i
$531$	2.00516	+	3.93535i	0.0870165	+	0.170780i
$532$	10.2108	−	3.31768i	0.442693	−	0.143840i
$533$	−3.64597	+	5.30735i	−0.157925	+	0.229887i
$534$	0.609268	+	0.838586i	0.0263656	+	0.0362892i
$535$	−17.2828	−	8.80603i	−0.747201	−	0.380718i
$536$	−1.20791	−	0.392473i	−0.0521736	−	0.0169522i
$537$	8.82858	−	12.1515i	0.380981	−	0.524376i
$538$	−32.9425	+	32.9425i	−1.42025	+	1.42025i
$539$	6.90764	+	9.00131i	0.297533	+	0.387714i
$540$	−4.23308	+	4.23308i	−0.182163	+	0.182163i
$541$	4.31988	+	27.2747i	0.185726	+	1.17263i	0.887698	+	0.460425i	$0.152303\pi$
$541$	4.31988	+	27.2747i	0.185726	+	1.17263i	−0.701972	+	0.712204i	$0.747697\pi$
$542$	8.21520	−	25.2838i	0.352873	−	1.08603i
$543$	−8.02855	+	2.60863i	−0.344538	+	0.111947i
$544$	9.07535	−	57.2995i	0.389103	−	2.45670i
$545$	−23.0564	+	16.7514i	−0.987626	+	0.717552i
$546$	1.73404	−	13.1931i	0.0742101	−	0.564613i
$547$	35.6213	+	11.5741i	1.52306	+	0.494871i	0.946642	−	0.322286i	$-0.104451\pi$
$547$	35.6213	+	11.5741i	1.52306	+	0.494871i	0.576415	+	0.817157i	$0.304451\pi$
$548$	−5.28605	−	33.3748i	−0.225809	−	1.42570i
$549$		−	15.2380i		−	0.650342i
$550$	38.4339	+	5.05802i	1.63883	+	0.215675i
$551$	−10.6735	−	10.6735i	−0.454708	−	0.454708i
$552$	0.754591	−	0.119515i	0.0321175	−	0.00508691i
$553$	9.72074	+	19.0780i	0.413368	+	0.811280i
$554$	−24.7999	−	12.6362i	−1.05365	−	0.536859i
$555$	−7.17957	+	5.21626i	−0.304756	+	0.221418i
$556$	1.46005	−	1.06079i	0.0619199	−	0.0449874i
$557$	5.40943	−	10.6166i	0.229205	−	0.449840i	−0.747548	−	0.664208i	$-0.768769\pi$
$557$	5.40943	−	10.6166i	0.229205	−	0.449840i	0.976753	+	0.214368i	$0.0687691\pi$
$558$	−3.83376	+	11.7991i	−0.162296	+	0.499496i
$559$	12.2376	+	22.5273i	0.517594	+	0.952805i
$560$		−	27.2885i		−	1.15315i
$561$	8.31043	+	23.4643i	0.350867	+	0.990665i
$562$	−26.3008			−1.10943
$563$	29.1599	+	21.1859i	1.22894	+	0.892880i	0.996811	−	0.0798038i	$-0.0254294\pi$
$563$	29.1599	+	21.1859i	1.22894	+	0.892880i	0.232134	+	0.972684i	$0.425429\pi$
$564$	7.44441	−	3.79312i	0.313466	−	0.159719i
$565$	8.79347	−	17.2582i	0.369944	−	0.726056i
$566$	1.14528	−	7.23104i	0.0481399	−	0.303943i
$567$	−1.86852	−	0.295945i	−0.0784705	−	0.0124285i
$568$	−2.58671	+	0.840472i	−0.108536	+	0.0352654i
$569$	5.83363	−	17.9541i	0.244558	−	0.752673i	−0.751150	−	0.660131i	$-0.770501\pi$
$569$	5.83363	−	17.9541i	0.244558	−	0.752673i	0.995709	−	0.0925421i	$-0.0294993\pi$
$570$	−20.0767	+	3.17984i	−0.840922	+	0.133189i
$571$	1.40759			0.0589060			0.0294530	−	0.999566i	$-0.490623\pi$
$571$	1.40759			0.0589060			0.0294530	+	0.999566i	$0.490623\pi$
$572$	−16.0505	−	14.4443i	−0.671105	−	0.603947i
$573$	17.0629			0.712812
$574$	6.50975	−	1.03104i	0.271712	−	0.0430349i
$575$	3.73167	−	11.4849i	0.155621	−	0.478953i
$576$	6.06526	−	1.97072i	0.252719	−	0.0821134i
$577$	27.6470	+	4.37886i	1.15096	+	0.182294i	0.702618	−	0.711567i	$-0.252014\pi$
$577$	27.6470	+	4.37886i	1.15096	+	0.182294i	0.448343	+	0.893862i	$0.352014\pi$
$578$	12.0028	−	75.7825i	0.499249	−	3.15214i
$579$	12.3395	−	24.2177i	0.512813	−	1.00645i
$580$	25.6181	−	13.0531i	1.06373	−	0.541999i
$581$	−0.487923	−	0.354497i	−0.0202424	−	0.0147070i
$582$	−0.733319			−0.0303970
$583$	−0.192964	−	0.132607i	−0.00799177	−	0.00549202i
$584$		−	5.64674i		−	0.233664i
$585$	−3.39256	+	11.4621i	−0.140265	+	0.473898i
$586$	−4.65837	+	14.3370i	−0.192435	+	0.592255i
$587$	2.77179	−	5.43995i	0.114404	−	0.224531i	−0.826703	−	0.562638i	$-0.809787\pi$
$587$	2.77179	−	5.43995i	0.114404	−	0.224531i	0.941108	+	0.338107i	$0.109787\pi$
$588$	4.99759	−	3.63096i	0.206097	−	0.149738i
$589$	−16.1701	+	11.7483i	−0.666277	+	0.484078i
$590$	−25.4523	−	12.9686i	−1.04785	−	0.533909i
$591$	−8.90297	−	17.4731i	−0.366219	−	0.718746i
$592$	11.5029	−	1.82188i	0.472767	−	0.0748790i
$593$	7.74372	+	7.74372i	0.317997	+	0.317997i	0.847997	−	0.530001i	$-0.177808\pi$
$593$	7.74372	+	7.74372i	0.317997	+	0.317997i	−0.530001	+	0.847997i	$0.677808\pi$
$594$	−4.45352	+	4.69349i	−0.182730	+	0.192576i
$595$		−	47.0736i		−	1.92983i
$596$	3.53509	+	22.3197i	0.144803	+	0.914250i
$597$	−19.7886	−	6.42971i	−0.809894	−	0.263150i
$598$	−11.2454	+	8.63272i	−0.459859	+	0.353018i
$599$	−2.70957	+	1.96862i	−0.110710	+	0.0804355i	−0.641763	−	0.766903i	$-0.721797\pi$
$599$	−2.70957	+	1.96862i	−0.110710	+	0.0804355i	0.531053	+	0.847339i	$0.321797\pi$
$600$	−0.355273	+	2.24311i	−0.0145040	+	0.0915744i
$601$	26.3232	−	8.55291i	1.07374	−	0.348880i	0.281799	−	0.959473i	$-0.409069\pi$
$601$	26.3232	−	8.55291i	1.07374	−	0.348880i	0.791945	+	0.610593i	$0.209069\pi$
$602$	8.10901	−	24.9570i	0.330498	−	1.01717i
$603$	−0.524154	−	3.30938i	−0.0213452	−	0.134768i
$604$	21.0356	−	21.0356i	0.855928	−	0.855928i
$605$	36.2692	+	3.80850i	1.47455	+	0.154837i
$606$	0.519433	−	0.519433i	0.0211005	−	0.0211005i
$607$	−10.2417	+	14.0965i	−0.415698	+	0.572159i	−0.964597	−	0.263730i	$-0.915047\pi$
$607$	−10.2417	+	14.0965i	−0.415698	+	0.572159i	0.548899	+	0.835889i	$0.315047\pi$
$608$	23.1044	+	7.50706i	0.937006	+	0.304452i
$609$	8.09567	+	4.12495i	0.328053	+	0.167152i
$610$	57.9283	+	79.7315i	2.34545	+	3.22823i
$611$	9.44647	−	13.7510i	0.382163	−	0.556306i
$612$	12.8891	−	4.18793i	0.521012	−	0.169287i
$613$	6.14858	+	12.0673i	0.248339	+	0.487393i	0.981202	−	0.192984i	$-0.0618164\pi$
$613$	6.14858	+	12.0673i	0.248339	+	0.487393i	−0.732863	+	0.680376i	$0.761816\pi$
$614$	14.8123	+	10.7617i	0.597774	+	0.434308i
$615$	−5.92074			−0.238747
$616$	−0.0623729	−	2.37753i	−0.00251308	−	0.0957933i
$617$	6.73683	+	6.73683i	0.271215	+	0.271215i	0.829589	−	0.558374i	$-0.188575\pi$
$617$	6.73683	+	6.73683i	0.271215	+	0.271215i	−0.558374	+	0.829589i	$0.688575\pi$
$618$	−4.46764	−	28.2076i	−0.179715	−	1.13467i
$619$	3.31426	+	6.50461i	0.133211	+	0.261442i	0.947971	−	0.318357i	$-0.103131\pi$
$619$	3.31426	+	6.50461i	0.133211	+	0.261442i	−0.814759	+	0.579799i	$0.803131\pi$
$620$	−11.7647	−	36.2079i	−0.472480	−	1.45414i
$621$	1.18470	+	1.63060i	0.0475405	+	0.0654339i
$622$	−40.0373	−	6.34129i	−1.60535	−	0.254262i
$623$	−0.310623	−	0.955999i	−0.0124448	−	0.0383013i
$624$	10.7959	−	11.3814i	0.432184	−	0.455622i
$625$	−15.4199	−	11.2032i	−0.616795	−	0.448128i
$626$	−0.124836	+	0.124836i	−0.00498945	+	0.00498945i
$627$	−10.2492	+	1.90008i	−0.409312	+	0.0758819i
$628$			35.7266i			1.42565i
$629$	19.8430	−	3.14282i	0.791191	−	0.125312i
$630$	10.9019	−	5.55480i	0.434343	−	0.221309i
$631$	18.6949	+	9.52551i	0.744231	+	0.379205i	0.784618	−	0.619979i	$-0.212859\pi$
$631$	18.6949	+	9.52551i	0.744231	+	0.379205i	−0.0403870	+	0.999184i	$0.512859\pi$
$632$	−0.671131	+	4.23736i	−0.0266962	+	0.168553i
$633$	−0.566687	−	0.779978i	−0.0225238	−	0.0310013i
$634$	15.7688	+	48.5313i	0.626258	+	1.92742i
$635$	−56.6980	+	28.8891i	−2.24999	+	1.14643i
$636$	−0.0749266	+	0.103128i	−0.00297103	+	0.00408928i
$637$	5.30787	−	11.1343i	0.210305	−	0.441157i
$638$	27.3083	−	14.8289i	1.08115	−	0.587082i
$639$	−5.07371	−	5.07371i	−0.200713	−	0.200713i
$640$	5.88141	−	8.09507i	0.232483	−	0.319986i
$641$	12.4491	+	4.04494i	0.491708	+	0.159766i	0.544367	−	0.838847i	$-0.316770\pi$
$641$	12.4491	+	4.04494i	0.491708	+	0.159766i	−0.0526593	+	0.998613i	$0.516770\pi$
$642$	−5.18168	+	10.1696i	−0.204505	+	0.401363i
$643$	10.1058	+	1.60060i	0.398533	+	0.0631214i	0.352484	−	0.935818i	$-0.385337\pi$
$643$	10.1058	+	1.60060i	0.398533	+	0.0631214i	0.0460488	+	0.998939i	$0.485337\pi$
$644$	6.80039	+	1.07708i	0.267973	+	0.0424427i
$645$	−10.7020	+	21.0038i	−0.421390	+	0.827024i
$646$	43.7648	+	14.2201i	1.72190	+	0.559481i
$647$	25.2894	−	34.8079i	0.994230	−	1.36844i	0.0654302	−	0.997857i	$-0.479158\pi$
$647$	25.2894	−	34.8079i	0.994230	−	1.36844i	0.928800	−	0.370583i	$-0.120842\pi$
$648$	−0.268031	−	0.268031i	−0.0105293	−	0.0105293i
$649$	−13.2220	−	6.30578i	−0.519009	−	0.247524i
$650$	−14.0759	−	39.7221i	−0.552101	−	1.55803i
$651$	7.07167	−	9.73332i	0.277161	−	0.381479i
$652$	13.4435	−	6.84979i	0.526487	−	0.268258i
$653$	−5.46007	−	16.8044i	−0.213669	−	0.657605i	−0.999245	−	0.0388409i	$-0.987633\pi$
$653$	−5.46007	−	16.8044i	−0.213669	−	0.657605i	0.785576	−	0.618765i	$-0.212367\pi$
$654$	9.85694	+	13.5669i	0.385437	+	0.530508i
$655$	10.2224	−	64.5417i	0.399422	−	2.52185i
$656$	6.92316	+	3.52753i	0.270304	+	0.137727i
$657$	13.2733	−	6.76307i	0.517840	−	0.263852i
$658$	−16.8663	+	2.67136i	−0.657517	+	0.104141i
$659$			37.3696i			1.45571i	0.685729	+	0.727857i	$0.259484\pi$
$659$			37.3696i			1.45571i	−0.685729	+	0.727857i	$0.740516\pi$
$660$	2.59063	−	19.6852i	0.100840	−	0.766244i
$661$	−2.87543	+	2.87543i	−0.111841	+	0.111841i	−0.760813	−	0.648971i	$-0.775199\pi$
$661$	−2.87543	+	2.87543i	−0.111841	+	0.111841i	0.648971	+	0.760813i	$0.275199\pi$
$662$	−11.9868	−	8.70895i	−0.465882	−	0.338483i
$663$	18.6234	−	19.6334i	0.723273	−	0.762496i
$664$	−0.0373420	−	0.114927i	−0.00144915	−	0.00446003i
$665$	19.4695	+	3.08366i	0.754994	+	0.119579i
$666$	3.06937	+	4.22463i	0.118936	+	0.163701i
$667$	−2.99135	−	9.20643i	−0.115826	−	0.356475i
$668$	−17.3781	−	34.1064i	−0.672379	−	1.31962i
$669$	−0.110507	−	0.697715i	−0.00427246	−	0.0269752i
$670$	15.3234	+	15.3234i	0.591995	+	0.591995i
$671$	30.7680	+	40.0936i	1.18778	+	1.54780i
$672$	−14.6230			−0.564095
$673$	−21.4354	−	15.5737i	−0.826273	−	0.600322i	0.0922295	−	0.995738i	$-0.470601\pi$
$673$	−21.4354	−	15.5737i	−0.826273	−	0.600322i	−0.918502	+	0.395415i	$0.870601\pi$
$674$	6.58846	+	12.9306i	0.253778	+	0.498067i
$675$	−5.69818	+	1.85145i	−0.219323	+	0.0712623i
$676$	−6.06584	+	22.6768i	−0.233302	+	0.872184i
$677$	−18.9014	−	26.0155i	−0.726438	−	0.999857i	−0.999285	−	0.0377992i	$-0.987965\pi$
$677$	−18.9014	−	26.0155i	−0.726438	−	0.999857i	0.272847	−	0.962057i	$-0.412035\pi$
$678$	−10.1551	−	5.17429i	−0.390005	−	0.198717i
$679$	0.676332	+	0.219754i	0.0259553	+	0.00843337i
$680$	5.54394	−	7.63058i	0.212600	−	0.292619i
$681$	−2.89127	+	2.89127i	−0.110794	+	0.110794i
$682$	−13.7370	−	38.7863i	−0.526019	−	1.48520i
$683$	−4.33076	+	4.33076i	−0.165712	+	0.165712i	−0.785092	−	0.619380i	$-0.787384\pi$
$683$	−4.33076	+	4.33076i	−0.165712	+	0.165712i	0.619380	+	0.785092i	$0.287384\pi$
$684$	0.887782	+	5.60523i	0.0339452	+	0.214321i
$685$	19.1718	−	59.0048i	0.732518	−	2.25446i
$686$	−36.5774	+	11.8847i	−1.39653	+	0.453761i
$687$	−3.42470	+	21.6227i	−0.130660	+	0.824957i
$688$	25.0278	−	18.1837i	0.954175	−	0.693249i
$689$	−0.0331694	+	0.252363i	−0.00126365	+	0.00961426i
$690$	−12.3977	−	4.02826i	−0.471973	−	0.153353i
$691$	1.32580	+	8.37074i	0.0504356	+	0.318438i	0.999988	+	0.00483059i	$0.00153763\pi$
$691$	1.32580	+	8.37074i	0.0504356	+	0.318438i	−0.949553	+	0.313608i	$0.898462\pi$
$692$		−	7.46731i		−	0.283865i
$693$	5.51393	−	2.99417i	0.209457	−	0.113739i
$694$	−8.96409	−	8.96409i	−0.340272	−	0.340272i
$695$	3.27275	−	0.518352i	0.124142	−	0.0196622i
$696$	0.826497	+	1.62209i	0.0313283	+	0.0614852i
$697$	11.9427	+	6.08511i	0.452362	+	0.230490i
$698$	−35.4288	+	25.7405i	−1.34100	+	0.974294i
$699$	−4.20706	+	3.05661i	−0.159126	+	0.115612i
$700$	−9.29178	+	18.2361i	−0.351196	+	0.689261i
$701$	5.41213	−	16.6568i	0.204413	−	0.629119i	−0.795324	−	0.606185i	$-0.792699\pi$
$701$	5.41213	−	16.6568i	0.204413	−	0.629119i	0.999737	−	0.0229343i	$-0.00730084\pi$
$702$	6.74455	+	1.99626i	0.254557	+	0.0753440i
$703$			8.41285i			0.317297i
$704$	−11.9794	+	17.4320i	−0.451492	+	0.656994i
$705$	15.3402			0.577746
$706$	−2.52397	−	1.83377i	−0.0949908	−	0.0690148i
$707$	−0.634726	+	0.323409i	−0.0238713	+	0.0121631i
$708$	−3.62071	+	7.10604i	−0.136075	+	0.267061i
$709$	−5.28524	+	33.3697i	−0.198492	+	1.25323i	0.664223	+	0.747535i	$0.268763\pi$
$709$	−5.28524	+	33.3697i	−0.198492	+	1.25323i	−0.862714	+	0.505692i	$0.831237\pi$
$710$	45.8357	+	7.25967i	1.72018	+	0.272450i
$711$	−10.7642	+	3.49749i	−0.403688	+	0.131166i
$712$	0.0622380	−	0.191549i	0.00233247	−	0.00717860i
$713$	−12.6601	+	2.00516i	−0.474124	+	0.0750938i
$714$	−27.6992			−1.03662
$715$	−14.2174	−	37.0086i	−0.531701	−	1.38404i
$716$	27.1217			1.01358
$717$	−17.1191	+	2.71140i	−0.639325	+	0.101259i
$718$	−5.57379	+	17.1544i	−0.208012	+	0.640195i
$719$	−4.01892	+	1.30583i	−0.149880	+	0.0486991i	−0.382996	−	0.923750i	$-0.625108\pi$
$719$	−4.01892	+	1.30583i	−0.149880	+	0.0486991i	0.233116	+	0.972449i	$0.425108\pi$
$720$	14.2469	+	2.25649i	0.530952	+	0.0840945i
$721$	−4.33251	+	27.3544i	−0.161351	+	1.01873i
$722$	8.07914	−	15.8562i	0.300674	−	0.590107i
$723$	16.3848	−	8.34846i	0.609356	−	0.310482i
$724$	−12.3320	−	8.95971i	−0.458314	−	0.332985i
$725$	28.7755			1.06870
$726$	2.24101	−	21.3417i	0.0831717	−	0.792064i
$727$			5.24771i			0.194627i	0.995254	+	0.0973133i	$0.0310249\pi$
$727$			5.24771i			0.194627i	−0.995254	+	0.0973133i	$0.968975\pi$
$728$	−2.27195	+	1.23420i	−0.0842040	+	0.0457423i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	−43.7409	+	85.8463i	−1.61892	+	3.17732i
$731$	43.1738	−	31.3676i	1.59684	−	1.16017i
$732$	22.2603	−	16.1730i	0.822763	−	0.597772i
$733$	8.50391	+	4.33296i	0.314099	+	0.160041i	0.603932	−	0.797036i	$-0.293600\pi$
$733$	8.50391	+	4.33296i	0.314099	+	0.160041i	−0.289833	+	0.957077i	$0.593600\pi$
$734$	4.10924	+	8.06484i	0.151675	+	0.297679i
$735$	11.2023	−	1.77426i	0.413201	−	0.0654447i
$736$	11.0163	+	11.0163i	0.406065	+	0.406065i
$737$	8.06130	+	7.64915i	0.296942	+	0.281760i
$738$			3.48390i			0.128244i
$739$	1.86755	+	11.7912i	0.0686989	+	0.433748i	0.997933	+	0.0642573i	$0.0204678\pi$
$739$	1.86755	+	11.7912i	0.0686989	+	0.433748i	−0.929234	+	0.369491i	$0.879532\pi$
$740$	−15.2402	−	4.95185i	−0.560242	−	0.182034i
$741$	6.90032	+	8.98869i	0.253489	+	0.330208i
$742$	0.210778	−	0.153139i	0.00773791	−	0.00562192i
$743$	1.20655	−	7.61786i	0.0442641	−	0.279472i	−0.955622	−	0.294597i	$-0.904815\pi$
$743$	1.20655	−	7.61786i	0.0442641	−	0.279472i	0.999886	+	0.0151248i	$0.00481455\pi$
$744$	2.29262	−	0.744918i	0.0840515	−	0.0273100i
$745$	−12.8213	+	39.4600i	−0.469737	+	1.44570i
$746$	5.77993	+	36.4930i	0.211618	+	1.33611i
$747$	0.225424	−	0.225424i	0.00824783	−	0.00824783i
$748$	−25.4572	+	37.0443i	−0.930808	+	1.35447i
$749$	7.82654	−	7.82654i	0.285976	−	0.285976i
$750$	3.76893	−	5.18749i	0.137622	−	0.189420i
$751$	17.0771	+	5.54868i	0.623152	+	0.202474i	0.603539	−	0.797333i	$-0.293757\pi$
$751$	17.0771	+	5.54868i	0.623152	+	0.202474i	0.0196126	+	0.999808i	$0.493757\pi$
$752$	−17.9374	−	9.13958i	−0.654111	−	0.333286i
$753$	6.48893	+	8.93124i	0.236470	+	0.325473i
$754$	−27.8445	−	19.1283i	−1.01404	−	0.696611i
$755$	51.9468	−	16.8786i	1.89054	−	0.614273i
$756$	−1.55085	−	3.04371i	−0.0564038	−	0.110699i
$757$	−43.0356	−	31.2672i	−1.56415	−	1.13642i	−0.932498	−	0.361176i	$-0.882375\pi$
$757$	−43.0356	−	31.2672i	−1.56415	−	1.13642i	−0.631657	−	0.775248i	$-0.717625\pi$
$758$	18.0123			0.654237
$759$	−6.40960	−	1.89827i	−0.232654	−	0.0689029i
$760$	2.79281	+	2.79281i	0.101306	+	0.101306i
$761$	−4.24435	−	26.7978i	−0.153858	−	0.971419i	−0.936937	−	0.349498i	$-0.886352\pi$
$761$	−4.24435	−	26.7978i	−0.153858	−	0.971419i	0.783079	−	0.621922i	$-0.213648\pi$
$762$	16.9990	+	33.3624i	0.615809	+	1.20859i
$763$	−5.02536	−	15.4665i	−0.181930	−	0.559923i
$764$	18.1099	+	24.9261i	0.655192	+	0.901795i
$765$	24.5765	+	3.89253i	0.888564	+	0.140735i
$766$	20.0800	+	61.7999i	0.725520	+	2.23292i
$767$	0.420263	+	15.9193i	0.0151748	+	0.574811i
$768$	−15.0822	−	10.9578i	−0.544231	−	0.395407i
$769$	−18.2596	+	18.2596i	−0.658459	+	0.658459i	−0.955015	−	0.296556i	$-0.904162\pi$
$769$	−18.2596	+	18.2596i	−0.658459	+	0.658459i	0.296556	+	0.955015i	$0.404162\pi$
$770$	−17.4686	+	36.6283i	−0.629525	+	1.31999i
$771$		−	6.54238i		−	0.235618i
$772$	48.4748	−	7.67766i	1.74465	−	0.276325i
$773$	−39.6299	+	20.1924i	−1.42539	+	0.726272i	−0.985164	−	0.171616i	$-0.945101\pi$
$773$	−39.6299	+	20.1924i	−1.42539	+	0.726272i	−0.440225	+	0.897888i	$0.645101\pi$
$774$	12.3591	+	6.29729i	0.444240	+	0.226352i
$775$	5.96056	−	37.6335i	0.214110	−	1.35184i
$776$	0.0837519	+	0.115275i	0.00300652	+	0.00413812i
$777$	−1.56486	−	4.81613i	−0.0561389	−	0.172778i
$778$	23.6155	−	12.0327i	0.846658	−	0.431394i
$779$	−3.29911	+	4.54084i	−0.118203	+	0.162692i
$780$	−20.3450	+	7.20942i	−0.728466	+	0.258138i
$781$	23.5944	+	3.10509i	0.844272	+	0.111109i
$782$	20.8673	+	20.8673i	0.746212	+	0.746212i
$783$	−2.82301	+	3.88554i	−0.100886	+	0.138858i
$784$	−14.1560	−	4.59955i	−0.505570	−	0.164270i
$785$	−29.7797	+	58.4460i	−1.06288	+	2.08603i
$786$	−37.9779	−	6.01511i	−1.35463	−	0.214552i
$787$	−45.2781	−	7.17135i	−1.61399	−	0.255631i	−0.716801	−	0.697278i	$-0.754394\pi$
$787$	−45.2781	−	7.17135i	−1.61399	−	0.255631i	−0.897189	+	0.441647i	$0.854394\pi$
$788$	16.0761	−	31.5510i	0.572686	−	1.12396i
$789$	18.5014	+	6.01146i	0.658666	+	0.214014i
$790$	43.0266	−	59.2210i	1.53082	−	2.10699i
$791$	7.81538	+	7.81538i	0.277883	+	0.277883i
$792$	1.24643	+	0.164034i	0.0442900	+	0.00582871i
$793$	23.6423	−	49.5944i	0.839563	−	1.76115i
$794$	23.5267	−	32.3817i	0.834930	−	1.14918i
$795$	−0.208536	+	0.106254i	−0.00739600	+	0.00376845i
$796$	−11.6101	−	35.7322i	−0.411509	−	1.26649i
$797$	−24.1973	−	33.3047i	−0.857113	−	1.17971i	−0.982250	−	0.187575i	$-0.939937\pi$
$797$	−24.1973	−	33.3047i	−0.857113	−	1.17971i	0.125137	−	0.992139i	$-0.460063\pi$
$798$	1.81450	−	11.4563i	0.0642326	−	0.405549i
$799$	−30.9427	−	15.7661i	−1.09468	−	0.557765i
$800$	−41.2638	+	21.0249i	−1.45889	+	0.743344i
$801$	0.524799	−	0.0831199i	0.0185428	−	0.00293690i
$802$			10.5629i			0.372989i
$803$	−21.2683	+	44.5956i	−0.750544	+	1.57374i
$804$	4.27815	−	4.27815i	0.150879	−	0.150879i
$805$	10.2271	+	7.43044i	0.360459	+	0.261889i
$806$	−30.7842	+	32.4537i	−1.08433	+	1.14313i
$807$	7.37967	+	22.7123i	0.259777	+	0.799511i
$808$	−0.140977	−	0.0223285i	−0.00495955	−	0.000785516i
$809$	3.72269	+	5.12384i	0.130883	+	0.180145i	0.869429	−	0.494059i	$-0.164487\pi$
$809$	3.72269	+	5.12384i	0.130883	+	0.180145i	−0.738546	+	0.674203i	$0.764487\pi$
$810$	1.99860	+	6.15106i	0.0702237	+	0.216126i
$811$	−11.5262	−	22.6214i	−0.404739	−	0.794345i	0.595219	−	0.803564i	$-0.297065\pi$
$811$	−11.5262	−	22.6214i	−0.404739	−	0.794345i	−0.999958	+	0.00921900i	$0.997065\pi$
$812$	2.56655	+	16.2045i	0.0900681	+	0.568668i
$813$	−9.63616	−	9.63616i	−0.337955	−	0.337955i
$814$	−16.6062	−	4.91811i	−0.582047	−	0.172380i
$815$	27.7021			0.970363
$816$	−26.4183	−	19.1940i	−0.924826	−	0.671925i
$817$	10.1453	+	19.9113i	0.354940	+	0.696609i
$818$	−18.8002	+	6.10856i	−0.657334	+	0.213581i
$819$	−5.62221	−	3.86227i	−0.196456	−	0.134959i
$820$	−6.28404	−	8.64924i	−0.219448	−	0.302045i
$821$	−44.5407	−	22.6946i	−1.55448	−	0.792048i	−0.555268	−	0.831672i	$-0.687384\pi$
$821$	−44.5407	−	22.6946i	−1.55448	−	0.792048i	−0.999215	+	0.0396233i	$0.987384\pi$
$822$	−34.7198	−	11.2812i	−1.21099	−	0.393476i
$823$	−17.7045	+	24.3681i	−0.617138	+	0.849418i	−0.997141	−	0.0755675i	$-0.975923\pi$
$823$	−17.7045	+	24.3681i	−0.617138	+	0.849418i	0.380002	+	0.924986i	$0.375923\pi$
$824$	−3.92387	+	3.92387i	−0.136694	+	0.136694i
$825$	11.2544	−	16.3770i	0.391829	−	0.570173i
$826$	11.5261	−	11.5261i	0.401044	−	0.401044i
$827$	−4.86729	−	30.7309i	−0.169252	−	1.06862i	−0.915314	−	0.402740i	$-0.868058\pi$
$827$	−4.86729	−	30.7309i	−0.169252	−	1.06862i	0.746062	−	0.665877i	$-0.231942\pi$
$828$	−1.12465	+	3.46132i	−0.0390843	+	0.120289i
$829$	16.8721	−	5.48206i	0.585991	−	0.190400i	−0.000991922	−	1.00000i	$-0.500316\pi$
$829$	16.8721	−	5.48206i	0.585991	−	0.190400i	0.586982	+	0.809600i	$0.300316\pi$
$830$	−0.322546	+	2.03647i	−0.0111957	+	0.0706871i
$831$	−11.5427	+	8.38630i	−0.400413	+	0.290917i
$832$	22.7979	+	2.99645i	0.790376	+	0.103883i
$833$	−24.4196	−	7.93440i	−0.846088	−	0.274911i
$834$	−0.305011	−	1.92576i	−0.0105617	−	0.0666837i
$835$		−	70.2810i		−	2.43217i
$836$	−13.6538	−	12.9557i	−0.472225	−	0.448082i
$837$	4.49687	+	4.49687i	0.155435	+	0.155435i
$838$	−44.6929	+	7.07866i	−1.54389	+	0.244528i
$839$	23.7571	+	46.6259i	0.820186	+	1.60971i	0.792329	+	0.610093i	$0.208868\pi$
$839$	23.7571	+	46.6259i	0.820186	+	1.60971i	0.0278563	+	0.999612i	$0.491132\pi$
$840$	−2.11829	−	1.07932i	−0.0730881	−	0.0372402i
$841$	−4.80003	+	3.48742i	−0.165518	+	0.120256i
$842$	−1.52129	+	1.10528i	−0.0524270	+	0.0380905i
$843$	−6.12067	+	12.0125i	−0.210807	+	0.413732i
$844$	0.537962	−	1.65568i	0.0185174	−	0.0569907i
$845$	−28.8254	+	32.0413i	−0.991623	+	1.10226i
$846$		−	9.02656i		−	0.310339i
$847$	−8.46232	+	19.0116i	−0.290769	+	0.653248i
$848$	0.307148			0.0105475
$849$	−3.03614	−	2.20588i	−0.104200	−	0.0757057i
$850$	−78.1628	+	39.8259i	−2.68096	+	1.36602i
$851$	−2.44935	+	4.80713i	−0.0839628	+	0.164786i
$852$	2.02683	−	12.7969i	0.0694381	−	0.438415i
$853$	13.2064	+	2.09169i	0.452179	+	0.0716181i	0.378370	−	0.925654i	$-0.376485\pi$
$853$	13.2064	+	2.09169i	0.452179	+	0.0716181i	0.0738086	+	0.997272i	$0.476485\pi$
$854$	−53.4847	+	17.3782i	−1.83021	+	0.594671i
$855$	−3.21987	+	9.90975i	−0.110117	+	0.338906i
$856$	2.19042	−	0.346928i	0.0748670	−	0.0118578i
$857$	20.4237			0.697660			0.348830	−	0.937186i	$-0.386579\pi$
$857$	20.4237			0.697660			0.348830	+	0.937186i	$0.386579\pi$
$858$	−21.7768	+	8.36586i	−0.743446	+	0.285606i
$859$	29.1402			0.994251			0.497125	−	0.867679i	$-0.334389\pi$
$859$	29.1402			0.994251			0.497125	+	0.867679i	$0.334389\pi$
$860$	−42.0418	+	6.65877i	−1.43361	+	0.227062i
$861$	1.04402	−	3.21317i	0.0355802	−	0.109504i
$862$	−14.9046	+	4.84279i	−0.507652	+	0.164946i
$863$	2.68673	+	0.425536i	0.0914572	+	0.0144854i	0.201995	−	0.979386i	$-0.435257\pi$
$863$	2.68673	+	0.425536i	0.0914572	+	0.0144854i	−0.110538	+	0.993872i	$0.535257\pi$
$864$	1.20918	−	7.63446i	0.0411371	−	0.259730i
$865$	6.22434	−	12.2160i	0.211634	−	0.415355i
$866$	−6.62630	+	3.37627i	−0.225171	+	0.114730i
$867$	−31.8192	−	23.1180i	−1.08064	−	0.785129i
$868$	21.7244			0.737374
$869$	21.2602	−	30.9371i	0.721205	−	1.04947i
$870$		−	31.0626i		−	1.05312i
$871$	3.42868	−	11.5841i	0.116176	−	0.392513i
$872$	1.00691	−	3.09894i	0.0340982	−	0.104943i
$873$	−0.170656	+	0.334932i	−0.00577584	+	0.0113357i
$874$	−9.99759	+	7.26367i	−0.338173	+	0.245697i
$875$	−5.03059	+	3.65494i	−0.170065	+	0.123559i
$876$	23.9675	+	12.2120i	0.809786	+	0.412607i
$877$	11.4408	+	22.4538i	0.386328	+	0.758210i	0.999496	−	0.0317416i	$-0.0101054\pi$
$877$	11.4408	+	22.4538i	0.386328	+	0.758210i	−0.613169	+	0.789952i	$0.710105\pi$
$878$	−61.1777	+	9.68959i	−2.06465	+	0.327008i
$879$	5.46411	+	5.46411i	0.184300	+	0.184300i
$880$	−42.0421	+	22.8297i	−1.41724	+	0.769588i
$881$			24.6860i			0.831692i	0.909435	+	0.415846i	$0.136514\pi$
$881$			24.6860i			0.831692i	−0.909435	+	0.415846i	$0.863486\pi$
$882$	−1.04402	−	6.59167i	−0.0351539	−	0.221953i
$883$	−42.9466	−	13.9542i	−1.44527	−	0.469596i	−0.521732	−	0.853110i	$-0.674714\pi$
$883$	−42.9466	−	13.9542i	−1.44527	−	0.469596i	−0.923535	+	0.383514i	$0.874714\pi$
$884$	48.4473	+	6.36768i	1.62946	+	0.214168i
$885$	−11.8464	+	8.60692i	−0.398213	+	0.289318i
$886$	2.99065	−	18.8822i	0.100473	−	0.634361i
$887$	42.5961	−	13.8403i	1.43024	−	0.464712i	0.511397	−	0.859344i	$-0.329128\pi$
$887$	42.5961	−	13.8403i	1.43024	−	0.464712i	0.918839	+	0.394632i	$0.129128\pi$
$888$	0.313543	−	0.964985i	0.0105218	−	0.0323828i
$889$	−5.68029	−	35.8639i	−0.190511	−	1.20284i
$890$	−2.42997	+	2.42997i	−0.0814529	+	0.0814529i
$891$	1.10726	+	3.12633i	0.0370947	+	0.104736i
$892$	0.901961	−	0.901961i	0.0301999	−	0.0301999i
$893$	8.54778	−	11.7650i	0.286040	−	0.393701i
$894$	23.2192	+	7.54437i	0.776566	+	0.252322i
$895$	44.3690	+	22.6071i	1.48309	+	0.755673i
$896$	3.35608	+	4.61925i	0.112119	+	0.154318i
$897$	1.32585	+	7.14516i	0.0442690	+	0.238570i
$898$	21.3683	−	6.94297i	0.713068	−	0.231690i
$899$	−13.8665	−	27.2145i	−0.462473	−	0.907654i
$900$	−8.75249	−	6.35906i	−0.291750	−	0.211969i
$901$	0.529841			0.0176516
$902$	−7.03456	−	9.16670i	−0.234225	−	0.305218i
$903$	−9.51159	−	9.51159i	−0.316526	−	0.316526i
$904$	0.346433	+	2.18729i	0.0115222	+	0.0727483i
$905$	−12.7059	−	24.9367i	−0.422357	−	0.828923i
$906$	−9.93174	−	30.5668i	−0.329960	−	1.01551i
$907$	8.43438	+	11.6089i	0.280059	+	0.385468i	0.925753	−	0.378128i	$-0.123432\pi$
$907$	8.43438	+	11.6089i	0.280059	+	0.385468i	−0.645695	+	0.763596i	$0.723432\pi$
$908$	−7.29235	−	1.15500i	−0.242005	−	0.0383299i
$909$	−0.116362	−	0.358124i	−0.00385947	−	0.0118782i
$910$	44.1004	−	1.16423i	1.46191	−	0.0385940i
$911$	−9.55061	−	6.93892i	−0.316426	−	0.229897i	0.418223	−	0.908344i	$-0.362653\pi$
$911$	−9.55061	−	6.93892i	−0.316426	−	0.229897i	−0.734649	+	0.678448i	$0.762653\pi$
$912$	9.66917	−	9.66917i	0.320178	−	0.320178i
$913$	−0.137959	+	1.04829i	−0.00456577	+	0.0346934i
$914$			74.4559i			2.46278i
$915$	49.8971	−	7.90292i	1.64955	−	0.261262i
$916$	−35.2221	+	17.9465i	−1.16377	+	0.592971i
$917$	33.2241	+	16.9285i	1.09716	+	0.559029i
$918$	2.29046	−	14.4614i	0.0755963	−	0.477297i
$919$	12.2542	+	16.8664i	0.404228	+	0.556372i	0.961799	−	0.273757i	$-0.0882666\pi$
$919$	12.2542	+	16.8664i	0.404228	+	0.556372i	−0.557571	+	0.830129i	$0.688267\pi$
$920$	0.782710	+	2.40893i	0.0258052	+	0.0794202i
$921$	8.36233	−	4.26082i	0.275548	−	0.140399i
$922$	27.1923	−	37.4269i	0.895529	−	1.23259i
$923$	−8.64110	−	24.3852i	−0.284425	−	0.802648i
$924$	10.2263	+	4.87707i	0.336420	+	0.160444i
$925$	−11.3404	−	11.3404i	−0.372870	−	0.372870i
$926$	−22.8120	+	31.3980i	−0.749647	+	1.03180i
$927$	−13.9231	−	4.52388i	−0.457294	−	0.148584i
$928$	−16.8539	+	33.0775i	−0.553255	+	1.08582i
$929$	−0.634080	−	0.100428i	−0.0208035	−	0.00329495i	0.146024	−	0.989281i	$-0.453352\pi$
$929$	−0.634080	−	0.100428i	−0.0208035	−	0.00329495i	−0.166828	+	0.985986i	$0.553352\pi$
$930$	−40.6246	−	6.43431i	−1.33213	−	0.210989i
$931$	4.88129	−	9.58008i	0.159978	−	0.313974i
$932$	−8.93042	−	2.90167i	−0.292526	−	0.0950474i
$933$	−12.2137	+	16.8107i	−0.399858	+	0.550357i
$934$	−46.6746	−	46.6746i	−1.52724	−	1.52724i
$935$	−72.5242	+	39.3820i	−2.37179	+	1.28793i
$936$	−0.456488	−	1.28821i	−0.0149208	−	0.0421064i
$937$	−28.8427	+	39.6985i	−0.942249	+	1.29690i	0.0126359	+	0.999920i	$0.495978\pi$
$937$	−28.8427	+	39.6985i	−0.942249	+	1.29690i	−0.954885	+	0.296975i	$0.904022\pi$
$938$	−11.0180	+	5.61395i	−0.359750	+	0.183302i
$939$	0.0279653	+	0.0860684i	0.000912614	+	0.00280874i
$940$	16.2815	+	22.4096i	0.531045	+	0.730920i
$941$	5.43800	−	34.3342i	0.177274	−	1.11926i	−0.725206	−	0.688532i	$-0.758256\pi$
$941$	5.43800	−	34.3342i	0.177274	−	1.11926i	0.902480	−	0.430731i	$-0.141744\pi$
$942$	34.3910	+	17.5231i	1.12052	+	0.570934i
$943$	−3.20716	+	1.63413i	−0.104440	+	0.0532146i
$944$	18.9800	−	3.00614i	0.617747	−	0.0978416i
$945$		−	6.27198i		−	0.204028i
$946$	−45.2341	+	8.38591i	−1.47069	+	0.272649i
$947$	−23.1103	+	23.1103i	−0.750983	+	0.750983i	−0.974663	−	0.223680i	$-0.928193\pi$
$947$	−23.1103	+	23.1103i	−0.750983	+	0.750983i	0.223680	+	0.974663i	$0.428193\pi$
$948$	−16.5340	−	12.0126i	−0.536998	−	0.390152i
$949$	53.6930	−	1.41748i	1.74295	−	0.0460132i
$950$	−11.3516	−	34.9367i	−0.368295	−	1.13350i
$951$	25.8356	+	4.09196i	0.837777	+	0.132691i
$952$	3.16352	+	4.35420i	0.102530	+	0.141121i
$953$	−11.4834	−	35.3422i	−0.371983	−	1.14485i	−0.945491	−	0.325647i	$-0.894418\pi$
$953$	−11.4834	−	35.3422i	−0.371983	−	1.14485i	0.573508	−	0.819200i	$-0.305582\pi$
$954$	0.0625225	+	0.122707i	0.00202424	+	0.00397280i
$955$	8.84935	+	55.8726i	0.286358	+	1.80800i
$956$	−22.1305	−	22.1305i	−0.715750	−	0.715750i
$957$	−0.417745	−	15.9236i	−0.0135038	−	0.514737i
$958$	−33.4855			−1.08187
$959$	28.6411	+	20.8090i	0.924870	+	0.671957i
$960$	9.59879	+	18.8387i	0.309800	+	0.608016i
$961$	−8.98148	+	2.91826i	−0.289725	+	0.0941375i
$962$	3.43507	+	18.5119i	0.110751	+	0.596848i
$963$	3.43895	+	4.73330i	0.110819	+	0.152529i
$964$	29.5859	+	15.0748i	0.952898	+	0.485526i
$965$	85.7008	+	27.8459i	2.75881	+	0.896391i
$966$	4.37225	−	6.01788i	0.140675	−	0.193622i
$967$	−16.1913	+	16.1913i	−0.520677	+	0.520677i	−0.917776	−	0.397099i	$-0.870017\pi$
$967$	−16.1913	+	16.1913i	−0.520677	+	0.520677i	0.397099	+	0.917776i	$0.370017\pi$
$968$	−3.61077	+	2.08514i	−0.116054	+	0.0670190i
$969$	16.6797	−	16.6797i	0.535828	−	0.535828i
$970$	−0.380322	−	2.40126i	−0.0122114	−	0.0770999i
$971$	10.2526	−	31.5543i	0.329022	−	1.01263i	−0.640570	−	0.767900i	$-0.721302\pi$
$971$	10.2526	−	31.5543i	0.329022	−	1.01263i	0.969592	−	0.244726i	$-0.0786980\pi$
$972$	1.71732	−	0.557991i	0.0550830	−	0.0178976i
$973$	−0.295785	+	1.86751i	−0.00948243	+	0.0598697i
$974$	33.2833	−	24.1817i	1.06646	−	0.774832i
$975$	−21.4181	−	2.81510i	−0.685930	−	0.0901553i
$976$	−63.0535	−	20.4873i	−2.01829	−	0.655783i
$977$	0.349823	+	2.20870i	0.0111918	+	0.0706625i	0.992652	−	0.121003i	$-0.0386111\pi$
$977$	0.349823	+	2.20870i	0.0111918	+	0.0706625i	−0.981460	+	0.191666i	$0.938611\pi$
$978$		−	16.3006i		−	0.521235i
$979$	−1.21300	+	1.27835i	−0.0387675	+	0.0408564i
$980$	14.4816	+	14.4816i	0.462596	+	0.462596i
$981$	8.49036	−	1.34474i	0.271076	−	0.0429343i
$982$	13.2976	+	26.0980i	0.424343	+	0.832819i
$983$	32.9790	+	16.8036i	1.05187	+	0.535953i	0.892397	−	0.451250i	$-0.149022\pi$
$983$	32.9790	+	16.8036i	1.05187	+	0.535953i	0.159469	+	0.987203i	$0.449022\pi$
$984$	0.547655	−	0.397895i	0.0174586	−	0.0126844i
$985$	52.5984	−	38.2150i	1.67593	−	1.21763i
$986$	−31.9250	+	62.6563i	−1.01670	+	1.99538i
$987$	−2.70499	+	8.32510i	−0.0861008	+	0.264991i
$988$	−5.80730	+	19.6205i	−0.184755	+	0.624211i
$989$			14.3312i			0.455704i
$990$	−17.6786	−	12.1489i	−0.561863	−	0.386118i
$991$	−20.7279			−0.658443			−0.329222	−	0.944253i	$-0.606786\pi$
$991$	−20.7279			−0.658443			−0.329222	+	0.944253i	$0.606786\pi$
$992$	39.7687	+	28.8937i	1.26266	+	0.917374i
$993$	−6.76723	+	3.44807i	−0.214751	+	0.109421i
$994$	−12.0222	+	23.5948i	−0.381320	+	0.748382i
$995$	10.7912	−	68.1327i	0.342103	−	2.15995i
$996$	0.568564	+	0.0900517i	0.0180156	+	0.00285340i
$997$	27.9696	−	9.08788i	0.885807	−	0.287816i	0.169440	−	0.985540i	$-0.445804\pi$
$997$	27.9696	−	9.08788i	0.885807	−	0.287816i	0.716366	+	0.697724i	$0.245804\pi$
$998$	1.41069	−	4.34166i	0.0446547	−	0.137433i
$999$	2.64383	−	0.418742i	0.0836471	−	0.0132484i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.a.73.11	✓	112
11.8	odd	10	inner	429.2.bj.a.151.4	yes	112
13.5	odd	4	inner	429.2.bj.a.304.4	yes	112
143.96	even	20	inner	429.2.bj.a.382.11	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.a.73.11	✓	112	1.1	even	1	trivial
429.2.bj.a.151.4	yes	112	11.8	odd	10	inner
429.2.bj.a.304.4	yes	112	13.5	odd	4	inner
429.2.bj.a.382.11	yes	112	143.96	even	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.92680 - 0.305175i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.71732 - 0.557991i) q^{4} +(3.27451 + 0.518632i) q^{5} +(0.305175 - 1.92680i) q^{6} +(-0.858865 + 1.68562i) q^{7} +(-0.337739 + 0.172087i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(1.92680 - 0.305175i) q^{2} +(0.309017 - 0.951057i) q^{3} +(1.71732 - 0.557991i) q^{4} +(3.27451 + 0.518632i) q^{5} +(0.305175 - 1.92680i) q^{6} +(-0.858865 + 1.68562i) q^{7} +(-0.337739 + 0.172087i) q^{8} +(-0.809017 - 0.587785i) q^{9} +6.46761 q^{10} +(3.31548 - 0.0869796i) q^{11} -1.80570i q^{12} +(-1.72110 - 3.16825i) q^{13} +(-1.14045 + 3.50995i) q^{14} +(1.50513 - 2.95398i) q^{15} +(-3.51992 + 2.55737i) q^{16} +(-6.07198 + 4.41155i) q^{17} +(-1.73819 - 0.885653i) q^{18} +(-1.42684 - 2.80034i) q^{19} +(5.91277 - 0.936491i) q^{20} +(1.33771 + 1.33771i) q^{21} +(6.36173 - 1.17940i) q^{22} -2.01554i q^{23} +(0.0592970 + 0.374387i) q^{24} +(5.69818 + 1.85145i) q^{25} +(-4.28308 - 5.57936i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(-0.534386 + 3.37398i) q^{28} +(4.56773 - 1.48415i) q^{29} +(1.99860 - 6.15106i) q^{30} +(-0.994851 - 6.28124i) q^{31} +(-5.46567 + 5.46567i) q^{32} +(0.941818 - 3.18009i) q^{33} +(-10.3532 + 10.3532i) q^{34} +(-3.68658 + 5.07414i) q^{35} +(-1.71732 - 0.557991i) q^{36} +(-2.38503 - 1.21524i) q^{37} +(-3.60384 - 4.96025i) q^{38} +(-3.54504 + 0.657817i) q^{39} +(-1.19518 + 0.388338i) q^{40} +(-0.810766 - 1.59122i) q^{41} +(2.98575 + 2.16927i) q^{42} -7.11034 q^{43} +(5.64521 - 1.99938i) q^{44} +(-2.34429 - 2.34429i) q^{45} +(-0.615093 - 3.88354i) q^{46} +(2.10064 + 4.12274i) q^{47} +(1.34449 + 4.13791i) q^{48} +(2.01084 + 2.76768i) q^{49} +(11.5443 + 1.82843i) q^{50} +(2.31929 + 7.13804i) q^{51} +(-4.72353 - 4.48054i) q^{52} +(-0.0571124 - 0.0414946i) q^{53} +(-1.37944 + 1.37944i) q^{54} +(10.9017 + 1.43470i) q^{55} -0.717098i q^{56} +(-3.10420 + 0.491657i) q^{57} +(8.34818 - 4.25361i) q^{58} +(-3.93535 - 2.00516i) q^{59} +(0.936491 - 5.91277i) q^{60} +(8.95668 + 12.3278i) q^{61} +(-3.83376 - 11.7991i) q^{62} +(1.68562 - 0.858865i) q^{63} +(-3.74854 + 5.15942i) q^{64} +(-3.99260 - 11.2671i) q^{65} +(0.844212 - 6.41482i) q^{66} +(2.36925 + 2.36925i) q^{67} +(-7.96592 + 10.9641i) q^{68} +(-1.91689 - 0.622836i) q^{69} +(-5.55480 + 10.9019i) q^{70} +(7.08697 + 1.12247i) q^{71} +(0.374387 + 0.0592970i) q^{72} +(-6.76307 + 13.2733i) q^{73} +(-4.96635 - 1.61366i) q^{74} +(3.52167 - 4.84716i) q^{75} +(-4.01290 - 4.01290i) q^{76} +(-2.70094 + 5.66334i) q^{77} +(-6.62983 + 2.34934i) q^{78} +(6.65263 - 9.15656i) q^{79} +(-12.8523 + 6.54860i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-2.04779 - 2.81854i) q^{82} +(-0.0498709 + 0.314873i) q^{83} +(3.04371 + 1.55085i) q^{84} +(-22.1708 + 11.2966i) q^{85} +(-13.7002 + 2.16990i) q^{86} -4.80279i q^{87} +(-1.10480 + 0.599927i) q^{88} +(-0.375714 + 0.375714i) q^{89} +(-5.23241 - 3.80157i) q^{90} +(6.81865 - 0.180010i) q^{91} +(-1.12465 - 3.46132i) q^{92} +(-6.28124 - 0.994851i) q^{93} +(5.30568 + 7.30264i) q^{94} +(-3.21987 - 9.90975i) q^{95} +(3.50918 + 6.88715i) q^{96} +(-0.0588042 - 0.371275i) q^{97} +(4.71912 + 4.71912i) q^{98} +(-2.73341 - 1.87842i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Introduction

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