LMFDB - Embedded newform 252.2.n.b.31.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			31.7
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26565 - 0.630973i) q^{2} +(1.11108 - 1.32872i) q^{3} +(1.20375 + 1.59718i) q^{4} +2.00240i q^{5} +(-2.24463 + 0.980638i) q^{6} +(2.64523 + 0.0525529i) q^{7} +(-0.515742 - 2.78101i) q^{8} +(-0.531008 - 2.95263i) q^{9} +O(q^{10})$	\(q+(-1.26565 - 0.630973i) q^{2} +(1.11108 - 1.32872i) q^{3} +(1.20375 + 1.59718i) q^{4} +2.00240i q^{5} +(-2.24463 + 0.980638i) q^{6} +(2.64523 + 0.0525529i) q^{7} +(-0.515742 - 2.78101i) q^{8} +(-0.531008 - 2.95263i) q^{9} +(1.26346 - 2.53433i) q^{10} +5.03174i q^{11} +(3.45967 + 0.175153i) q^{12} +(3.29495 + 1.90234i) q^{13} +(-3.31478 - 1.73558i) q^{14} +(2.66063 + 2.22482i) q^{15} +(-1.10199 + 3.84521i) q^{16} +(1.61527 + 0.932579i) q^{17} +(-1.19096 + 4.07205i) q^{18} +(-3.12744 - 5.41689i) q^{19} +(-3.19819 + 2.41038i) q^{20} +(3.00889 - 3.45639i) q^{21} +(3.17489 - 6.36842i) q^{22} -6.27581i q^{23} +(-4.26822 - 2.40464i) q^{24} +0.990411 q^{25} +(-2.96993 - 4.48672i) q^{26} +(-4.51322 - 2.57504i) q^{27} +(3.10025 + 4.28818i) q^{28} +(-1.23970 - 2.14722i) q^{29} +(-1.96363 - 4.49463i) q^{30} +(0.557613 + 0.965814i) q^{31} +(3.82096 - 4.17136i) q^{32} +(6.68578 + 5.59066i) q^{33} +(-1.45594 - 2.19952i) q^{34} +(-0.105232 + 5.29680i) q^{35} +(4.07670 - 4.40233i) q^{36} +(0.559132 + 0.968445i) q^{37} +(0.540339 + 8.82923i) q^{38} +(6.18863 - 2.26442i) q^{39} +(5.56868 - 1.03272i) q^{40} +(-6.39139 - 3.69007i) q^{41} +(-5.98909 + 2.47605i) q^{42} +(-6.79358 + 3.92228i) q^{43} +(-8.03661 + 6.05693i) q^{44} +(5.91234 - 1.06329i) q^{45} +(-3.95987 + 7.94299i) q^{46} +(-1.95019 + 3.37783i) q^{47} +(3.88481 + 5.73657i) q^{48} +(6.99448 + 0.278029i) q^{49} +(-1.25351 - 0.624923i) q^{50} +(3.03384 - 1.11008i) q^{51} +(0.927894 + 7.55257i) q^{52} +(2.80349 - 4.85579i) q^{53} +(4.08738 + 6.10683i) q^{54} -10.0755 q^{55} +(-1.21810 - 7.38351i) q^{56} +(-10.6724 - 1.86309i) q^{57} +(0.214186 + 3.49984i) q^{58} +(4.35302 + 7.53966i) q^{59} +(-0.350726 + 6.92763i) q^{60} +(-1.83423 - 1.05899i) q^{61} +(-0.0963407 - 1.57422i) q^{62} +(-1.24947 - 7.83829i) q^{63} +(-7.46802 + 2.86856i) q^{64} +(-3.80924 + 6.59779i) q^{65} +(-4.93431 - 11.2944i) q^{66} +(-10.4118 + 6.01127i) q^{67} +(0.454879 + 3.70248i) q^{68} +(-8.33881 - 6.97292i) q^{69} +(3.47532 - 6.63750i) q^{70} -3.84867i q^{71} +(-7.93743 + 2.99953i) q^{72} +(-0.499355 - 0.288303i) q^{73} +(-0.0966032 - 1.57851i) q^{74} +(1.10042 - 1.31598i) q^{75} +(4.88713 - 11.5157i) q^{76} +(-0.264432 + 13.3101i) q^{77} +(-9.26144 - 1.03889i) q^{78} +(-3.42902 - 1.97974i) q^{79} +(-7.69962 - 2.20663i) q^{80} +(-8.43606 + 3.13574i) q^{81} +(5.76093 + 8.70314i) q^{82} +(5.34720 + 9.26162i) q^{83} +(9.14242 + 0.645136i) q^{84} +(-1.86739 + 3.23442i) q^{85} +(11.0732 - 0.677665i) q^{86} +(-4.23045 - 0.738514i) q^{87} +(13.9933 - 2.59508i) q^{88} +(-5.13938 + 2.96722i) q^{89} +(-8.15386 - 2.38477i) q^{90} +(8.61592 + 5.20528i) q^{91} +(10.0236 - 7.55448i) q^{92} +(1.90285 + 0.332183i) q^{93} +(4.59958 - 3.04463i) q^{94} +(10.8468 - 6.26238i) q^{95} +(-1.29719 - 9.71171i) q^{96} +(-14.0382 + 8.10496i) q^{97} +(-8.67714 - 4.76522i) q^{98} +(14.8569 - 2.67189i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$-1$

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 $

$2$	−1.26565	−	0.630973i	−0.894950	−	0.446165i
$2$	−1.26565	−	0.630973i	−0.894950	−	0.446165i
$3$	1.11108	−	1.32872i	0.641482	−	0.767138i
$3$	1.11108	−	1.32872i	0.641482	−	0.767138i
$4$	1.20375	+	1.59718i	0.601873	+	0.798592i
$5$			2.00240i			0.895499i	0.894159	+	0.447749i	$0.147774\pi$
$5$			2.00240i			0.895499i	−0.894159	+	0.447749i	$0.852226\pi$
$6$	−2.24463	+	0.980638i	−0.916365	+	0.400344i
$7$	2.64523	+	0.0525529i	0.999803	+	0.0198631i
$7$	2.64523	+	0.0525529i	0.999803	+	0.0198631i
$8$	−0.515742	−	2.78101i	−0.182342	−	0.983235i
$9$	−0.531008	−	2.95263i	−0.177003	−	0.984210i
$10$	1.26346	−	2.53433i	0.399541	−	0.801427i
$11$			5.03174i			1.51713i	0.651600	+	0.758563i	$0.274098\pi$
$11$			5.03174i			1.51713i	−0.651600	+	0.758563i	$0.725902\pi$
$12$	3.45967	+	0.175153i	0.998721	+	0.0505623i
$13$	3.29495	+	1.90234i	0.913854	+	0.527614i	0.881669	−	0.471868i	$-0.156420\pi$
$13$	3.29495	+	1.90234i	0.913854	+	0.527614i	0.0321850	+	0.999482i	$0.489753\pi$
$14$	−3.31478	−	1.73558i	−0.885912	−	0.463854i
$15$	2.66063	+	2.22482i	0.686971	+	0.574446i
$16$	−1.10199	+	3.84521i	−0.275498	+	0.961302i
$17$	1.61527	+	0.932579i	0.391762	+	0.226184i	0.682923	−	0.730490i	$-0.260708\pi$
$17$	1.61527	+	0.932579i	0.391762	+	0.226184i	−0.291161	+	0.956674i	$0.594042\pi$
$18$	−1.19096	+	4.07205i	−0.280712	+	0.959792i
$19$	−3.12744	−	5.41689i	−0.717485	−	1.24272i	−0.961993	−	0.273073i	$-0.911960\pi$
$19$	−3.12744	−	5.41689i	−0.717485	−	1.24272i	0.244509	−	0.969647i	$-0.421373\pi$
$20$	−3.19819	+	2.41038i	−0.715138	+	0.538976i
$21$	3.00889	−	3.45639i	0.656593	−	0.754245i
$22$	3.17489	−	6.36842i	0.676889	−	1.35775i
$23$		−	6.27581i		−	1.30860i	−0.756236	−	0.654299i	$-0.772964\pi$
$23$		−	6.27581i		−	1.30860i	0.756236	−	0.654299i	$-0.227036\pi$
$24$	−4.26822	−	2.40464i	−0.871247	−	0.490846i
$25$	0.990411			0.198082
$26$	−2.96993	−	4.48672i	−0.582451	−	0.879919i
$27$	−4.51322	−	2.57504i	−0.868570	−	0.495567i
$28$	3.10025	+	4.28818i	0.585891	+	0.810390i
$29$	−1.23970	−	2.14722i	−0.230206	−	0.398728i	0.727663	−	0.685935i	$-0.240607\pi$
$29$	−1.23970	−	2.14722i	−0.230206	−	0.398728i	−0.957869	+	0.287207i	$0.907273\pi$
$30$	−1.96363	−	4.49463i	−0.358507	−	0.820604i
$31$	0.557613	+	0.965814i	0.100150	+	0.173465i	0.911746	−	0.410753i	$-0.134734\pi$
$31$	0.557613	+	0.965814i	0.100150	+	0.173465i	−0.811596	+	0.584219i	$0.801401\pi$
$32$	3.82096	−	4.17136i	0.675457	−	0.737399i
$33$	6.68578	+	5.59066i	1.16385	+	0.973208i
$34$	−1.45594	−	2.19952i	−0.249692	−	0.377214i
$35$	−0.105232	+	5.29680i	−0.0177874	+	0.895322i
$36$	4.07670	−	4.40233i	0.679449	−	0.733722i
$37$	0.559132	+	0.968445i	0.0919207	+	0.159211i	0.908319	−	0.418277i	$-0.137366\pi$
$37$	0.559132	+	0.968445i	0.0919207	+	0.159211i	−0.816399	+	0.577489i	$0.804033\pi$
$38$	0.540339	+	8.82923i	0.0876546	+	1.43229i
$39$	6.18863	−	2.26442i	0.990974	−	0.362598i
$40$	5.56868	−	1.03272i	0.880486	−	0.163287i
$41$	−6.39139	−	3.69007i	−0.998167	−	0.576292i	−0.0904619	−	0.995900i	$-0.528834\pi$
$41$	−6.39139	−	3.69007i	−0.998167	−	0.576292i	−0.907706	+	0.419608i	$0.862168\pi$
$42$	−5.98909	+	2.47605i	−0.924136	+	0.382063i
$43$	−6.79358	+	3.92228i	−1.03601	+	0.598141i	−0.918701	−	0.394954i	$-0.870761\pi$
$43$	−6.79358	+	3.92228i	−1.03601	+	0.598141i	−0.117310	+	0.993095i	$0.537427\pi$
$44$	−8.03661	+	6.05693i	−1.21156	+	0.913117i
$45$	5.91234	−	1.06329i	0.881359	−	0.158506i
$46$	−3.95987	+	7.94299i	−0.583851	+	1.17113i
$47$	−1.95019	+	3.37783i	−0.284464	+	0.492707i	−0.972479	−	0.232990i	$-0.925149\pi$
$47$	−1.95019	+	3.37783i	−0.284464	+	0.492707i	0.688015	+	0.725697i	$0.258482\pi$
$48$	3.88481	+	5.73657i	0.560724	+	0.828003i
$49$	6.99448	+	0.278029i	0.999211	+	0.0397184i
$50$	−1.25351	−	0.624923i	−0.177274	−	0.0883774i
$51$	3.03384	−	1.11008i	0.424822	−	0.155443i
$52$	0.927894	+	7.55257i	0.128676	+	1.04735i
$53$	2.80349	−	4.85579i	0.385089	−	0.666994i	−0.606692	−	0.794937i	$-0.707504\pi$
$53$	2.80349	−	4.85579i	0.385089	−	0.666994i	0.991782	+	0.127942i	$0.0408373\pi$
$54$	4.08738	+	6.10683i	0.556222	+	0.831034i
$55$	−10.0755			−1.35858
$56$	−1.21810	−	7.38351i	−0.162776	−	0.986663i
$57$	−10.6724	−	1.86309i	−1.41359	−	0.246772i
$58$	0.214186	+	3.49984i	0.0281241	+	0.459552i
$59$	4.35302	+	7.53966i	0.566715	+	0.981580i	0.996888	+	0.0788331i	$0.0251194\pi$
$59$	4.35302	+	7.53966i	0.566715	+	0.981580i	−0.430172	+	0.902747i	$0.641547\pi$
$60$	−0.350726	+	6.92763i	−0.0452785	+	0.894353i
$61$	−1.83423	−	1.05899i	−0.234849	−	0.135590i	0.377958	−	0.925823i	$-0.376626\pi$
$61$	−1.83423	−	1.05899i	−0.234849	−	0.135590i	−0.612807	+	0.790232i	$0.709960\pi$
$62$	−0.0963407	−	1.57422i	−0.0122353	−	0.199927i
$63$	−1.24947	−	7.83829i	−0.157418	−	0.987532i
$64$	−7.46802	+	2.86856i	−0.933503	+	0.358570i
$65$	−3.80924	+	6.59779i	−0.472478	+	0.818355i
$66$	−4.93431	−	11.2944i	−0.607372	−	1.39024i
$67$	−10.4118	+	6.01127i	−1.27201	+	0.734394i	−0.975366	−	0.220595i	$-0.929200\pi$
$67$	−10.4118	+	6.01127i	−1.27201	+	0.734394i	−0.296642	+	0.954989i	$0.595867\pi$
$68$	0.454879	+	3.70248i	0.0551622	+	0.448992i
$69$	−8.33881	−	6.97292i	−1.00388	−	0.839441i
$70$	3.47532	−	6.63750i	0.415381	−	0.793333i
$71$		−	3.84867i		−	0.456753i	−0.973573	−	0.228377i	$-0.926658\pi$
$71$		−	3.84867i		−	0.456753i	0.973573	−	0.228377i	$-0.0733417\pi$
$72$	−7.93743	+	2.99953i	−0.935435	+	0.353498i
$73$	−0.499355	−	0.288303i	−0.0584450	−	0.0337433i	0.470493	−	0.882404i	$-0.344076\pi$
$73$	−0.499355	−	0.288303i	−0.0584450	−	0.0337433i	−0.528938	+	0.848661i	$0.677410\pi$
$74$	−0.0966032	−	1.57851i	−0.0112299	−	0.183498i
$75$	1.10042	−	1.31598i	0.127066	−	0.151956i
$76$	4.88713	−	11.5157i	0.560592	−	1.32094i
$77$	−0.264432	+	13.3101i	−0.0301349	+	1.51683i
$78$	−9.26144	−	1.03889i	−1.04865	−	0.117631i
$79$	−3.42902	−	1.97974i	−0.385794	−	0.222739i	0.294542	−	0.955639i	$-0.404833\pi$
$79$	−3.42902	−	1.97974i	−0.385794	−	0.222739i	−0.680336	+	0.732900i	$0.738166\pi$
$80$	−7.69962	−	2.20663i	−0.860844	−	0.246708i
$81$	−8.43606	+	3.13574i	−0.937340	+	0.348416i
$82$	5.76093	+	8.70314i	0.636189	+	0.961101i
$83$	5.34720	+	9.26162i	0.586931	+	1.01660i	0.994632	+	0.103479i	$0.0329975\pi$
$83$	5.34720	+	9.26162i	0.586931	+	1.01660i	−0.407700	+	0.913116i	$0.633669\pi$
$84$	9.14242	+	0.645136i	0.997520	+	0.0703901i
$85$	−1.86739	+	3.23442i	−0.202547	+	0.350822i
$86$	11.0732	−	0.677665i	1.19405	−	0.0730745i
$87$	−4.23045	−	0.738514i	−0.453552	−	0.0791770i
$88$	13.9933	−	2.59508i	1.49169	−	0.276636i
$89$	−5.13938	+	2.96722i	−0.544773	+	0.314525i	−0.747011	−	0.664811i	$-0.768512\pi$
$89$	−5.13938	+	2.96722i	−0.544773	+	0.314525i	0.202238	+	0.979336i	$0.435179\pi$
$90$	−8.15386	−	2.38477i	−0.859492	−	0.251377i
$91$	8.61592	+	5.20528i	0.903194	+	0.545662i
$92$	10.0236	−	7.55448i	1.04504	−	0.787609i
$93$	1.90285	+	0.332183i	0.197317	+	0.0344457i
$94$	4.59958	−	3.04463i	0.474410	−	0.314030i
$95$	10.8468	−	6.26238i	1.11285	−	0.642507i
$96$	−1.29719	−	9.71171i	−0.132394	−	0.991197i
$97$	−14.0382	+	8.10496i	−1.42536	+	0.822934i	−0.996750	−	0.0805547i	$-0.974331\pi$
$97$	−14.0382	+	8.10496i	−1.42536	+	0.822934i	−0.428613	+	0.903488i	$0.640997\pi$
$98$	−8.67714	−	4.76522i	−0.876523	−	0.481359i
$99$	14.8569	−	2.67189i	1.49317	−	0.268535i
$100$	1.19220	+	1.58187i	0.119220	+	0.158187i
$101$		−	3.79391i		−	0.377508i	−0.982024	−	0.188754i	$-0.939555\pi$
$101$		−	3.79391i		−	0.377508i	0.982024	−	0.188754i	$-0.0604449\pi$
$102$	−4.54021	−	0.509292i	−0.449548	−	0.0504274i
$103$	−9.26720			−0.913125			−0.456562	−	0.889691i	$-0.650919\pi$
$103$	−9.26720			−0.913125			−0.456562	+	0.889691i	$0.650919\pi$
$104$	3.59108	−	10.1444i	0.352134	−	0.994740i
$105$	6.92105	+	6.02498i	0.675426	+	0.587978i
$106$	−6.61212	+	4.37681i	−0.642226	+	0.425113i
$107$	6.79221	−	3.92148i	0.656628	−	0.379104i	−0.134363	−	0.990932i	$-0.542899\pi$
$107$	6.79221	−	3.92148i	0.656628	−	0.379104i	0.790991	+	0.611828i	$0.209566\pi$
$108$	−1.31995	−	10.3081i	−0.127012	−	0.991901i
$109$	8.27240	−	14.3282i	0.792353	−	1.37239i	−0.132154	−	0.991229i	$-0.542189\pi$
$109$	8.27240	−	14.3282i	0.792353	−	1.37239i	0.924507	−	0.381166i	$-0.124477\pi$
$110$	12.7521	+	6.35739i	1.21587	+	0.606153i
$111$	1.90803	+	0.333087i	0.181103	+	0.0316153i
$112$	−3.11710	+	10.1135i	−0.294538	+	0.955640i
$113$	9.70786	−	16.8145i	0.913238	−	1.58178i	0.103778	−	0.994600i	$-0.466907\pi$
$113$	9.70786	−	16.8145i	0.913238	−	1.58178i	0.809460	−	0.587175i	$-0.199760\pi$
$114$	12.3320	+	9.09201i	1.15499	+	0.851544i
$115$	12.5667			1.17185
$116$	1.93722	−	4.56472i	0.179866	−	0.423824i
$117$	3.86726	−	10.7389i	0.357529	−	0.992814i
$118$	−0.752087	−	12.2892i	−0.0692352	−	1.13131i
$119$	4.22376	+	2.55177i	0.387192	+	0.233921i
$120$	4.81505	−	8.54666i	0.439552	−	0.780200i
$121$	−14.3184			−1.30167
$122$	1.65330	+	2.49767i	0.149683	+	0.226128i
$123$	−12.0044	+	4.39243i	−1.08240	+	0.396052i
$124$	−0.871359	+	2.05321i	−0.0782503	+	0.184383i
$125$			11.9952i			1.07288i
$126$	−3.36436	+	10.7089i	−0.299721	+	0.954027i
$127$		−	2.21609i		−	0.196646i	−0.995155	−	0.0983232i	$-0.968652\pi$
$127$		−	2.21609i		−	0.196646i	0.995155	−	0.0983232i	$-0.0313479\pi$
$128$	11.2619	+	1.08152i	0.995420	+	0.0955938i
$129$	−2.33659	+	13.3847i	−0.205725	+	1.17846i
$130$	8.98419	−	5.94698i	0.787966	−	0.521584i
$131$	−15.9027			−1.38943			−0.694714	−	0.719286i	$-0.744469\pi$
$131$	−15.9027			−1.38943			−0.694714	+	0.719286i	$0.744469\pi$
$132$	−0.881324	+	17.4082i	−0.0767094	+	1.51519i
$133$	−7.98813	−	14.4933i	−0.692659	−	1.25673i
$134$	16.9707	−	1.03859i	1.46605	−	0.0897204i
$135$	5.15626	−	9.03725i	0.443780	−	0.777803i
$136$	1.76045	−	4.97306i	0.150957	−	0.426437i
$137$	−4.30171			−0.367520			−0.183760	−	0.982971i	$-0.558827\pi$
$137$	−4.30171			−0.367520			−0.183760	+	0.982971i	$0.558827\pi$
$138$	6.15430	+	14.0869i	0.523889	+	1.19915i
$139$	2.19727	−	3.80579i	0.186370	−	0.322803i	−0.757667	−	0.652641i	$-0.773661\pi$
$139$	2.19727	−	3.80579i	0.186370	−	0.322803i	0.944037	+	0.329838i	$0.106994\pi$
$140$	−8.58663	+	6.20792i	−0.725703	+	0.524665i
$141$	2.32138	+	6.34429i	0.195496	+	0.534286i
$142$	−2.42841	+	4.87107i	−0.203787	+	0.408771i
$143$	−9.57207	+	16.5793i	−0.800457	+	1.38643i
$144$	11.9386	+	1.21194i	0.994887	+	0.100995i
$145$	4.29958	−	2.48236i	0.357060	−	0.206149i
$146$	0.450098	+	0.679970i	0.0372503	+	0.0562747i
$147$	8.14084	−	8.98481i	0.671445	−	0.741054i
$148$	−0.873732	+	2.05880i	−0.0718204	+	0.169232i
$149$	4.58475			0.375597			0.187799	−	0.982208i	$-0.439865\pi$
$149$	4.58475			0.375597			0.187799	+	0.982208i	$0.439865\pi$
$150$	−2.22310	+	0.971235i	−0.181516	+	0.0793010i
$151$		−	23.4942i		−	1.91193i	−0.293475	−	0.955967i	$-0.594812\pi$
$151$		−	23.4942i		−	1.91193i	0.293475	−	0.955967i	$-0.405188\pi$
$152$	−13.4515	+	11.4912i	−1.09106	+	0.932056i
$153$	1.89584	−	5.26452i	0.153269	−	0.425611i
$154$	8.73299	−	16.6791i	0.703725	−	1.34404i
$155$	−1.93394	+	1.11656i	−0.155338	+	0.0896844i
$156$	11.0662	+	7.15859i	0.886008	+	0.573146i
$157$	−14.1976	+	8.19699i	−1.13309	+	0.654191i	−0.944711	−	0.327905i	$-0.893657\pi$
$157$	−14.1976	+	8.19699i	−1.13309	+	0.654191i	−0.188381	+	0.982096i	$0.560324\pi$
$158$	3.09077	+	4.66928i	0.245889	+	0.371468i
$159$	−3.33710	−	9.12023i	−0.264649	−	0.723282i
$160$	8.35272	+	7.65108i	0.660340	+	0.604871i
$161$	0.329812	−	16.6010i	0.0259928	−	1.30834i
$162$	12.6557	+	1.35417i	0.994324	+	0.106394i
$163$	4.37894	−	2.52818i	0.342985	−	0.198022i	−0.318606	−	0.947887i	$-0.603215\pi$
$163$	4.37894	−	2.52818i	0.342985	−	0.198022i	0.661591	+	0.749865i	$0.269881\pi$
$164$	−1.79989	−	14.6501i	−0.140547	−	1.14398i
$165$	−11.1947	+	13.3876i	−0.871507	+	1.04222i
$166$	−0.923854	−	15.0959i	−0.0717050	−	1.17167i
$167$	4.45705	−	7.71983i	0.344897	−	0.597378i	−0.640438	−	0.768010i	$-0.721247\pi$
$167$	4.45705	−	7.71983i	0.344897	−	0.597378i	0.985335	+	0.170631i	$0.0545806\pi$
$168$	−11.1640	−	6.58514i	−0.861325	−	0.508054i
$169$	0.737790	+	1.27789i	0.0567530	+	0.0982992i
$170$	4.40430	−	2.91537i	0.337794	−	0.223599i
$171$	−14.3334	+	12.1106i	−1.09610	+	0.926121i
$172$	−14.4423	−	6.12918i	−1.10122	−	0.467345i
$173$	2.63021	+	1.51855i	0.199971	+	0.115453i	0.596642	−	0.802508i	$-0.296501\pi$
$173$	2.63021	+	1.51855i	0.199971	+	0.115453i	−0.396671	+	0.917961i	$0.629835\pi$
$174$	4.88830	+	3.60400i	0.370581	+	0.273219i
$175$	2.61986	+	0.0520490i	0.198043	+	0.00393453i
$176$	−19.3481	−	5.54494i	−1.45842	−	0.417966i
$177$	14.8547	+	2.59319i	1.11655	+	0.194916i
$178$	8.37690	−	0.512657i	0.627875	−	0.0384253i
$179$	4.01804	+	2.31982i	0.300323	+	0.173391i	0.642588	−	0.766212i	$-0.277861\pi$
$179$	4.01804	+	2.31982i	0.300323	+	0.173391i	−0.342265	+	0.939603i	$0.611194\pi$
$180$	8.81522	+	8.16316i	0.657047	+	0.608446i
$181$			3.81679i			0.283700i	0.989888	+	0.141850i	$0.0453050\pi$
$181$			3.81679i			0.283700i	−0.989888	+	0.141850i	$0.954695\pi$
$182$	−7.62036	−	12.0245i	−0.564858	−	0.891314i
$183$	−3.44509	+	1.26056i	−0.254668	+	0.0931832i
$184$	−17.4531	+	3.23670i	−1.28666	+	0.238612i
$185$	−1.93921	+	1.11960i	−0.142574	+	0.0823149i
$186$	−2.19875	−	1.62108i	−0.161220	−	0.118863i
$187$	−4.69249	+	8.12764i	−0.343149	+	0.594352i
$188$	−7.74254	+	0.951233i	−0.564683	+	0.0693758i
$189$	−11.8032	−	7.04876i	−0.858555	−	0.512722i
$190$	−17.6796	+	1.08197i	−1.28261	+	0.0784946i
$191$	−3.26838	−	1.88700i	−0.236492	−	0.136539i	0.377071	−	0.926184i	$-0.376931\pi$
$191$	−3.26838	−	1.88700i	−0.236492	−	0.136539i	−0.613563	+	0.789645i	$0.710264\pi$
$192$	−4.48603	+	13.1101i	−0.323752	+	0.946142i
$193$	6.06896	+	10.5117i	0.436853	+	0.756652i	0.997445	−	0.0714404i	$-0.0227596\pi$
$193$	6.06896	+	10.5117i	0.436853	+	0.756652i	−0.560592	+	0.828092i	$0.689426\pi$
$194$	22.8815	−	1.40032i	1.64279	−	0.100537i
$195$	4.53427	+	12.3921i	0.324706	+	0.887416i
$196$	7.97551	+	11.5061i	0.569679	+	0.821867i
$197$	−6.35688			−0.452909			−0.226455	−	0.974022i	$-0.572713\pi$
$197$	−6.35688			−0.452909			−0.226455	+	0.974022i	$0.572713\pi$
$198$	−20.4895	−	5.99260i	−1.45613	−	0.425875i
$199$	1.00759	−	1.74520i	0.0714262	−	0.123714i	−0.828100	−	0.560580i	$-0.810578\pi$
$199$	1.00759	−	1.74520i	0.0714262	−	0.123714i	0.899527	+	0.436866i	$0.143912\pi$
$200$	−0.510796	−	2.75434i	−0.0361187	−	0.194761i
$201$	−3.58105	+	20.5134i	−0.252588	+	1.44691i
$202$	−2.39385	+	4.80176i	−0.168431	+	0.337851i
$203$	−3.16644	−	5.74503i	−0.222240	−	0.403222i
$204$	5.42497	+	3.50934i	0.379824	+	0.245703i
$205$	7.38898	−	12.7981i	0.516069	−	0.893858i
$206$	11.7290	+	5.84736i	0.817201	+	0.407405i
$207$	−18.5302	+	3.33251i	−1.28793	+	0.231625i
$208$	−10.9459	+	10.5734i	−0.758961	+	0.733133i
$209$	27.2564	−	15.7365i	1.88536	−	1.08851i
$210$	−4.95804	−	11.9925i	−0.342137	−	0.827563i
$211$	15.8266	+	9.13752i	1.08955	+	0.629053i	0.933457	−	0.358690i	$-0.116776\pi$
$211$	15.8266	+	9.13752i	1.08955	+	0.629053i	0.156094	+	0.987742i	$0.450110\pi$
$212$	11.1303	−	1.36744i	0.764431	−	0.0939165i
$213$	−5.11382	−	4.27618i	−0.350393	−	0.292999i
$214$	−11.0709	+	0.677528i	−0.756792	+	0.0463149i
$215$	−7.85395	−	13.6034i	−0.535635	−	0.927747i
$216$	−4.83356	+	13.8794i	−0.328882	+	0.944371i
$217$	1.42426	+	2.58410i	0.0966850	+	0.175420i
$218$	−19.5107	+	12.9149i	−1.32143	+	0.874705i
$219$	−0.937896	+	0.343177i	−0.0633772	+	0.0231898i
$220$	−12.1284	−	16.0925i	−0.817695	−	1.08495i
$221$	3.54816	+	6.14560i	0.238675	+	0.413398i
$222$	−2.20474	−	1.62549i	−0.147972	−	0.109096i
$223$	8.23280	+	14.2596i	0.551309	+	0.954896i	0.998180	+	0.0602974i	$0.0192049\pi$
$223$	8.23280	+	14.2596i	0.551309	+	0.954896i	−0.446871	+	0.894598i	$0.647462\pi$
$224$	10.3265	−	10.8334i	0.689971	−	0.723837i
$225$	−0.525916	−	2.92432i	−0.0350611	−	0.194955i
$226$	−22.8963	+	15.1559i	−1.52304	+	1.00816i
$227$	−0.441421			−0.0292982			−0.0146491	−	0.999893i	$-0.504663\pi$
$227$	−0.441421			−0.0292982			−0.0146491	+	0.999893i	$0.504663\pi$
$228$	−9.87114	−	19.2884i	−0.653732	−	1.27741i
$229$			5.37457i			0.355161i	0.984106	+	0.177581i	$0.0568271\pi$
$229$			5.37457i			0.355161i	−0.984106	+	0.177581i	$0.943173\pi$
$230$	−15.9050	−	7.92922i	−1.04874	−	0.522838i
$231$	17.3916	+	15.1399i	1.14428	+	0.996134i
$232$	−5.33206	+	4.55501i	−0.350067	+	0.299051i
$233$	3.38198	+	5.85776i	0.221561	+	0.383754i	0.955282	−	0.295696i	$-0.0955516\pi$
$233$	3.38198	+	5.85776i	0.221561	+	0.383754i	−0.733721	+	0.679450i	$0.762218\pi$
$234$	−11.6706	+	11.1516i	−0.762930	+	0.729002i
$235$	−6.76375	−	3.90505i	−0.441218	−	0.254737i
$236$	−6.80229	+	16.0284i	−0.442791	+	1.04336i
$237$	−6.44044	+	2.35656i	−0.418351	+	0.153075i
$238$	−3.73571	−	5.89474i	−0.242150	−	0.382099i
$239$	−0.169520	−	0.0978724i	−0.0109653	−	0.00633084i	0.494507	−	0.869173i	$-0.335349\pi$
$239$	−0.169520	−	0.0978724i	−0.0109653	−	0.00633084i	−0.505473	+	0.862843i	$0.668682\pi$
$240$	−11.4869	+	7.77893i	−0.741475	+	0.502128i
$241$		−	12.8524i		−	0.827897i	−0.910300	−	0.413948i	$-0.864149\pi$
$241$		−	12.8524i		−	0.827897i	0.910300	−	0.413948i	$-0.135851\pi$
$242$	18.1221	+	9.03451i	1.16493	+	0.580760i
$243$	−5.20660	+	14.6932i	−0.334003	+	0.942572i
$244$	−0.516540	−	4.20437i	−0.0330681	−	0.269157i
$245$	−0.556724	+	14.0057i	−0.0355678	+	0.894792i
$246$	17.9649	+	2.01519i	1.14540	+	0.128484i
$247$		−	23.7978i		−	1.51422i
$248$	2.39835	−	2.04884i	0.152296	−	0.130101i
$249$	18.2473	+	3.18545i	1.15637	+	0.201869i
$250$	7.56863	−	15.1817i	0.478682	−	0.960175i
$251$	−13.7723			−0.869299			−0.434650	−	0.900600i	$-0.643128\pi$
$251$	−13.7723			−0.869299			−0.434650	+	0.900600i	$0.643128\pi$
$252$	11.0152	−	11.4309i	0.693889	−	0.720082i
$253$	31.5782			1.98531
$254$	−1.39829	+	2.80480i	−0.0877368	+	0.175989i
$255$	2.22283	+	6.07494i	0.139199	+	0.380428i
$256$	−13.5712	−	8.47478i	−0.848201	−	0.529674i
$257$		−	13.8537i		−	0.864170i	−0.901833	−	0.432085i	$-0.857778\pi$
$257$		−	13.8537i		−	0.864170i	0.901833	−	0.432085i	$-0.142222\pi$
$258$	11.4027	−	15.4661i	0.709902	−	0.962877i
$259$	1.42814	+	2.59114i	0.0887402	+	0.161006i
$260$	−15.1232	+	1.85801i	−0.937903	+	0.115229i
$261$	−5.68165	+	4.80055i	−0.351685	+	0.297147i
$262$	20.1273	+	10.0342i	1.24347	+	0.619915i
$263$		−	1.61839i		−	0.0997945i	−0.998754	−	0.0498972i	$-0.984111\pi$
$263$		−	1.61839i		−	0.0997945i	0.998754	−	0.0498972i	$-0.0158894\pi$
$264$	12.0995	−	21.4766i	0.744674	−	1.32179i
$265$	9.72322	+	5.61370i	0.597293	+	0.344847i
$266$	0.965319	+	23.3837i	0.0591875	+	1.43375i
$267$	−1.76764	+	10.1256i	−0.108178	+	0.619678i
$268$	−22.1343	−	9.39357i	−1.35207	−	0.573803i
$269$	−3.95786	−	2.28507i	−0.241315	−	0.139323i	0.374466	−	0.927241i	$-0.377826\pi$
$269$	−3.95786	−	2.28507i	−0.241315	−	0.139323i	−0.615781	+	0.787917i	$0.711159\pi$
$270$	−12.2283	+	8.18455i	−0.744190	+	0.498096i
$271$	11.9451	+	20.6896i	0.725615	+	1.25680i	0.958720	+	0.284351i	$0.0917782\pi$
$271$	11.9451	+	20.6896i	0.725615	+	1.25680i	−0.233105	+	0.972452i	$0.574889\pi$
$272$	−5.36598	+	5.18337i	−0.325360	+	0.314288i
$273$	16.4893	−	5.66469i	0.997980	−	0.342843i
$274$	5.44447	+	2.71426i	0.328912	+	0.163975i
$275$			4.98349i			0.300516i
$276$	1.09923	−	21.7122i	0.0661657	−	1.30692i
$277$	12.3054			0.739363			0.369681	−	0.929159i	$-0.379467\pi$
$277$	12.3054			0.739363			0.369681	+	0.929159i	$0.379467\pi$
$278$	−5.18233	+	3.43038i	−0.310816	+	0.205741i
$279$	2.55560	−	2.15928i	0.153000	−	0.129273i
$280$	14.7847	−	2.43913i	0.883555	−	0.145766i
$281$	−6.68674	−	11.5818i	−0.398897	−	0.690910i	0.594693	−	0.803953i	$-0.297274\pi$
$281$	−6.68674	−	11.5818i	−0.398897	−	0.690910i	−0.993590	+	0.113043i	$0.963940\pi$
$282$	1.06502	−	9.49439i	0.0634210	−	0.565383i
$283$	3.22533	+	5.58643i	0.191726	+	0.332079i	0.945822	−	0.324685i	$-0.105258\pi$
$283$	3.22533	+	5.58643i	0.191726	+	0.332079i	−0.754097	+	0.656764i	$0.771925\pi$
$284$	6.14703	−	4.63282i	0.364759	−	0.274907i
$285$	3.73064	−	21.3703i	0.220984	−	1.26587i
$286$	22.5760	−	14.9439i	1.33495	−	0.883652i
$287$	−16.7128	−	10.0970i	−0.986524	−	0.596005i
$288$	−14.3455	−	9.06686i	−0.845314	−	0.534270i
$289$	−6.76059	−	11.7097i	−0.397682	−	0.688805i
$290$	−7.00807	+	0.428886i	−0.411528	+	0.0251851i
$291$	−4.82830	+	27.6581i	−0.283040	+	1.62135i
$292$	−0.140624	−	1.14460i	−0.00822938	−	0.0669829i
$293$	18.9236	+	10.9255i	1.10553	+	0.638277i	0.937668	−	0.347534i	$-0.112981\pi$
$293$	18.9236	+	10.9255i	1.10553	+	0.638277i	0.167861	+	0.985811i	$0.446314\pi$
$294$	−15.9726	+	6.23498i	−0.931543	+	0.363631i
$295$	−15.0974	+	8.71648i	−0.879003	+	0.507493i
$296$	2.40489	−	2.05442i	0.139781	−	0.119411i
$297$	12.9569	−	22.7093i	0.751838	−	1.31773i
$298$	−5.80269	−	2.89285i	−0.336141	−	0.167578i
$299$	11.9387	−	20.6785i	0.690434	−	1.19587i
$300$	3.42650	+	0.173474i	0.197829	+	0.0100155i
$301$	−18.1767	+	10.0183i	−1.04769	+	0.577445i
$302$	−14.8242	+	29.7355i	−0.853039	+	1.71109i
$303$	−5.04105	−	4.21533i	−0.289601	−	0.242164i
$304$	24.2755	−	6.05629i	1.39229	−	0.347352i
$305$	2.12053	−	3.67286i	0.121421	−	0.210307i
$306$	−5.72124	+	5.46682i	−0.327062	+	0.312517i
$307$	−5.00234			−0.285499			−0.142749	−	0.989759i	$-0.545594\pi$
$307$	−5.00234			−0.285499			−0.142749	+	0.989759i	$0.545594\pi$
$308$	−21.5770	+	15.5996i	−1.22946	+	0.888871i
$309$	−10.2966	+	12.3135i	−0.585753	+	0.700493i
$310$	3.15222	−	0.192912i	0.179034	−	0.0109567i
$311$	10.1968	+	17.6613i	0.578206	+	1.00148i	0.995685	+	0.0927962i	$0.0295805\pi$
$311$	10.1968	+	17.6613i	0.578206	+	1.00148i	−0.417479	+	0.908687i	$0.637086\pi$
$312$	−9.48912	−	16.0428i	−0.537215	−	0.908243i
$313$	−18.2484	−	10.5357i	−1.03146	−	0.595515i	−0.114059	−	0.993474i	$-0.536385\pi$
$313$	−18.2484	−	10.5357i	−1.03146	−	0.595515i	−0.917403	+	0.397959i	$0.869718\pi$
$314$	23.1413	−	1.41622i	1.30594	−	0.0799220i
$315$	15.6954	−	2.50193i	0.884334	−	0.140968i
$316$	−0.965649	−	7.85988i	−0.0543220	−	0.442153i
$317$	−6.03814	+	10.4584i	−0.339136	+	0.587400i	−0.984270	−	0.176669i	$-0.943468\pi$
$317$	−6.03814	+	10.4584i	−0.339136	+	0.587400i	0.645135	+	0.764069i	$0.276801\pi$
$318$	−1.53102	+	13.6487i	−0.0858552	+	0.765379i
$319$	10.8042	−	6.23782i	0.604920	−	0.349251i
$320$	−5.74400	−	14.9539i	−0.321099	−	0.835950i
$321$	2.33611	−	13.3820i	0.130389	−	0.746913i
$322$	−10.8922	+	20.8029i	−0.606998	+	1.15930i
$323$		−	11.6664i		−	0.649133i
$324$	−15.1632	−	9.69931i	−0.842402	−	0.538850i
$325$	3.26335	+	1.88410i	0.181018	+	0.104511i
$326$	−7.13742	+	0.436802i	−0.395305	+	0.0241922i
$327$	−9.84694	−	26.9115i	−0.544537	−	1.48821i
$328$	−6.96581	+	19.6776i	−0.384623	+	1.08652i
$329$	−5.33621	+	8.83264i	−0.294195	+	0.486959i
$330$	22.6158	−	9.88045i	1.24496	−	0.543901i
$331$	−1.10382	−	0.637288i	−0.0606712	−	0.0350285i	0.469358	−	0.883008i	$-0.344486\pi$
$331$	−1.10382	−	0.637288i	−0.0606712	−	0.0350285i	−0.530029	+	0.847980i	$0.677819\pi$
$332$	−8.35585	+	19.6891i	−0.458587	+	1.08058i
$333$	2.56256	−	2.16516i	0.140427	−	0.118650i
$334$	−10.5121	+	6.95834i	−0.575195	+	0.380743i
$335$	−12.0370	−	20.8486i	−0.657649	−	1.13908i
$336$	9.97474	+	15.3787i	0.544167	+	0.838977i
$337$	−6.12539	+	10.6095i	−0.333671	+	0.577935i	−0.983229	−	0.182377i	$-0.941621\pi$
$337$	−6.12539	+	10.6095i	−0.333671	+	0.577935i	0.649558	+	0.760312i	$0.274954\pi$
$338$	−0.127470	−	2.08289i	−0.00693348	−	0.113294i
$339$	−11.5556	−	31.5813i	−0.627615	−	1.71526i
$340$	−7.41383	+	0.910848i	−0.402071	+	0.0493977i
$341$	−4.85972	+	2.80576i	−0.263169	+	0.151941i
$342$	25.7825	−	6.28381i	1.39416	−	0.339790i
$343$	18.4874	+	1.10303i	0.998225	+	0.0595581i
$344$	14.4116	+	16.8701i	0.777022	+	0.909576i
$345$	13.9625	−	16.6976i	0.751718	−	0.898969i
$346$	−2.37076	−	3.58155i	−0.127453	−	0.192545i
$347$	7.47885	−	4.31792i	0.401486	−	0.231798i	−0.285639	−	0.958337i	$-0.592206\pi$
$347$	7.47885	−	4.31792i	0.401486	−	0.231798i	0.687125	+	0.726539i	$0.258873\pi$
$348$	−3.91285	−	7.64580i	−0.209751	−	0.409858i
$349$	−6.91380	+	3.99168i	−0.370087	+	0.213670i	−0.673497	−	0.739190i	$-0.735208\pi$
$349$	−6.91380	+	3.99168i	−0.370087	+	0.213670i	0.303409	+	0.952860i	$0.401875\pi$
$350$	−3.28299	−	1.71894i	−0.175483	−	0.0918812i
$351$	−9.97222	−	17.0703i	−0.532278	−	0.911146i
$352$	20.9892	+	19.2261i	1.11873	+	1.02475i
$353$			18.9233i			1.00719i	0.863941	+	0.503594i	$0.167989\pi$
$353$			18.9233i			1.00719i	−0.863941	+	0.503594i	$0.832011\pi$
$354$	−17.1646	−	12.6550i	−0.912288	−	0.672604i
$355$	7.70656			0.409022
$356$	−10.9257	−	4.63675i	−0.579061	−	0.245747i
$357$	8.08353	−	2.77699i	0.427826	−	0.146974i
$358$	−3.62170	−	5.47136i	−0.191413	−	0.289170i
$359$	22.7971	−	13.1619i	1.20319	−	0.694659i	0.241923	−	0.970295i	$-0.422222\pi$
$359$	22.7971	−	13.1619i	1.20319	−	0.694659i	0.961262	+	0.275636i	$0.0888885\pi$
$360$	−6.00625	−	15.8939i	−0.316557	−	0.837681i
$361$	−10.0618	+	17.4276i	−0.529569	+	0.917240i
$362$	2.40829	−	4.83073i	0.126577	−	0.253897i
$363$	−15.9088	+	19.0251i	−0.834997	+	0.998561i
$364$	2.05758	+	20.0270i	0.107847	+	1.04970i
$365$	0.577296	−	0.999906i	0.0302170	−	0.0523375i
$366$	5.15566	+	0.578328i	0.269490	+	0.0302297i
$367$	1.55991			0.0814269			0.0407134	−	0.999171i	$-0.487037\pi$
$367$	1.55991			0.0814269			0.0407134	+	0.999171i	$0.487037\pi$
$368$	24.1318	+	6.91590i	1.25796	+	0.360516i
$369$	−7.50154	+	20.8309i	−0.390514	+	1.08441i
$370$	3.16080	−	0.193438i	0.164322	−	0.0100564i
$371$	7.67107	−	12.6974i	0.398262	−	0.659214i
$372$	1.75999	+	3.43907i	0.0912514	+	0.178307i
$373$	35.9979			1.86390			0.931950	−	0.362588i	$-0.118107\pi$
$373$	35.9979			1.86390			0.931950	+	0.362588i	$0.118107\pi$
$374$	11.0674	−	7.32591i	0.572281	−	0.378814i
$375$	15.9383	+	13.3276i	0.823048	+	0.688233i
$376$	10.3996	+	3.68141i	0.536316	+	0.189854i
$377$		−	9.43329i		−	0.485839i
$378$	10.4911	+	16.3688i	0.539605	+	0.841918i
$379$			19.4764i			1.00044i	0.865899	+	0.500219i	$0.166747\pi$
$379$			19.4764i			1.00044i	−0.865899	+	0.500219i	$0.833253\pi$
$380$	23.0589	+	9.78596i	1.18290	+	0.502009i
$381$	−2.94457	−	2.46225i	−0.150855	−	0.126145i
$382$	2.94599	+	4.45055i	0.150730	+	0.227710i
$383$	0.0991517			0.00506641			0.00253321	−	0.999997i	$-0.499194\pi$
$383$	0.0991517			0.00506641			0.00253321	+	0.999997i	$0.499194\pi$
$384$	13.9499	−	13.7623i	0.711878	−	0.702304i
$385$	−26.6521	−	0.529498i	−1.35832	−	0.0269857i
$386$	−1.04855	−	17.1336i	−0.0533700	−	0.872075i
$387$	15.1885	+	17.9762i	0.772074	+	0.913780i
$388$	−29.8435	−	12.6653i	−1.51508	−	0.642982i
$389$	−26.5662			−1.34696			−0.673481	−	0.739204i	$-0.735202\pi$
$389$	−26.5662			−1.34696			−0.673481	+	0.739204i	$0.735202\pi$
$390$	2.08027	−	18.5451i	0.105338	−	0.939066i
$391$	5.85269	−	10.1372i	0.295983	−	0.512658i
$392$	−2.83414	−	19.5951i	−0.143146	−	0.989702i
$393$	−17.6692	+	21.1303i	−0.891293	+	1.06588i
$394$	8.04560	+	4.01102i	0.405331	+	0.202072i
$395$	3.96423	−	6.86625i	0.199462	−	0.345478i
$396$	22.1514	+	20.5129i	1.11315	+	1.03081i
$397$	23.4405	−	13.5334i	1.17645	−	0.679221i	0.221256	−	0.975216i	$-0.428984\pi$
$397$	23.4405	−	13.5334i	1.17645	−	0.679221i	0.955190	+	0.295995i	$0.0956511\pi$
$398$	−2.37643	+	1.57305i	−0.119120	+	0.0788499i
$399$	−28.1330	−	5.48916i	−1.40841	−	0.274802i
$400$	−1.09143	+	3.80833i	−0.0545713	+	0.190417i
$401$	−31.9981			−1.59791			−0.798954	−	0.601392i	$-0.794613\pi$
$401$	−31.9981			−1.59791			−0.798954	+	0.601392i	$0.794613\pi$
$402$	17.4758	−	23.7033i	0.871613	−	1.18221i
$403$			4.24308i			0.211363i
$404$	6.05957	−	4.56690i	0.301475	−	0.227212i
$405$	−6.27900	−	16.8923i	−0.312006	−	0.839387i
$406$	0.382645	+	9.26914i	0.0189904	+	0.460020i
$407$	−4.87296	+	2.81340i	−0.241544	+	0.139455i
$408$	−4.65183	−	7.86461i	−0.230300	−	0.389356i
$409$	18.9401	−	10.9351i	0.936527	−	0.540704i	0.0476569	−	0.998864i	$-0.484825\pi$
$409$	18.9401	−	10.9351i	0.936527	−	0.540704i	0.888870	+	0.458160i	$0.151491\pi$
$410$	−17.4271	+	11.5357i	−0.860664	+	0.569706i
$411$	−4.77954	+	5.71578i	−0.235757	+	0.281939i
$412$	−11.1554	−	14.8014i	−0.549585	−	0.729214i
$413$	11.1185	+	20.1729i	0.547106	+	0.992643i
$414$	25.5554	+	7.47424i	1.25598	+	0.367339i
$415$	−18.5454	+	10.7072i	−0.910359	+	0.525596i
$416$	20.5252	−	6.47566i	1.00633	−	0.317495i
$417$	−2.61549	−	7.14810i	−0.128081	−	0.350044i
$418$	−44.4263	+	2.71884i	−2.17296	+	0.132983i
$419$	−9.62802	+	16.6762i	−0.470360	+	0.814687i	−0.999425	−	0.0338939i	$-0.989209\pi$
$419$	−9.62802	+	16.6762i	−0.470360	+	0.814687i	0.529066	+	0.848581i	$0.322542\pi$
$420$	−1.29182	+	18.3067i	−0.0630342	+	0.893277i
$421$	16.8866	+	29.2484i	0.823002	+	1.42548i	0.903437	+	0.428722i	$0.141036\pi$
$421$	16.8866	+	29.2484i	0.823002	+	1.42548i	−0.0804343	+	0.996760i	$0.525631\pi$
$422$	−14.2655	−	21.5511i	−0.694433	−	1.04909i
$423$	11.0090	+	3.96454i	0.535278	+	0.192762i
$424$	−14.9499	−	5.29221i	−0.726030	−	0.257012i
$425$	1.59979	+	0.923637i	0.0776010	+	0.0448030i
$426$	3.77415	+	8.63883i	0.182858	+	0.418553i
$427$	−4.79631	−	2.89768i	−0.232110	−	0.140228i
$428$	14.4394	+	6.12794i	0.697956	+	0.296205i
$429$	11.3940	+	31.1395i	0.550107	+	1.50343i
$430$	1.35695	+	22.1728i	0.0654381	+	1.06927i
$431$	2.57782	+	1.48830i	0.124169	+	0.0716890i	0.560798	−	0.827953i	$-0.310494\pi$
$431$	2.57782	+	1.48830i	0.124169	+	0.0716890i	−0.436629	+	0.899642i	$0.643828\pi$
$432$	14.8751	−	14.5166i	0.715679	−	0.698429i
$433$			25.5918i			1.22986i	0.788580	+	0.614932i	$0.210817\pi$
$433$			25.5918i			1.22986i	−0.788580	+	0.614932i	$0.789183\pi$
$434$	−0.172113	−	4.16924i	−0.00826170	−	0.200130i
$435$	1.47880	−	8.47104i	0.0709029	−	0.406155i
$436$	32.8427	−	4.03498i	1.57288	−	0.193241i
$437$	−33.9954	+	19.6272i	−1.62622	+	0.938898i
$438$	1.40359	+	0.157445i	0.0670659	+	0.00752302i
$439$	14.5655	−	25.2282i	0.695174	−	1.20408i	−0.274947	−	0.961459i	$-0.588660\pi$
$439$	14.5655	−	25.2282i	0.695174	−	1.20408i	0.970122	−	0.242618i	$-0.0780062\pi$
$440$	5.19637	+	28.0201i	0.247727	+	1.33581i
$441$	−2.89321	−	20.7997i	−0.137772	−	0.990464i
$442$	−0.613029	−	10.0170i	−0.0291588	−	0.476459i
$443$	−21.9919	−	12.6970i	−1.04487	−	0.603254i	−0.123659	−	0.992325i	$-0.539463\pi$
$443$	−21.9919	−	12.6970i	−1.04487	−	0.603254i	−0.921208	+	0.389070i	$0.872796\pi$
$444$	1.76479	+	3.44843i	0.0837531	+	0.163655i
$445$	−5.94155	−	10.2911i	−0.281657	−	0.487844i
$446$	−1.42241	−	23.2424i	−0.0673530	−	1.10056i
$447$	5.09401	−	6.09186i	0.240939	−	0.288135i
$448$	−19.9054	+	7.19554i	−0.940441	+	0.339957i
$449$	30.7532			1.45133			0.725667	−	0.688046i	$-0.241531\pi$
$449$	30.7532			1.45133			0.725667	+	0.688046i	$0.241531\pi$
$450$	−1.17954	+	4.03301i	−0.0556041	+	0.190118i
$451$	18.5675	−	32.1598i	0.874308	−	1.51435i
$452$	38.5416	−	4.73515i	1.81285	−	0.222723i
$453$	−31.2173	−	26.1039i	−1.46672	−	1.22647i
$454$	0.558685	+	0.278525i	0.0262204	+	0.0130718i
$455$	−10.4230	+	17.2525i	−0.488639	+	0.808809i
$456$	0.322929	+	30.6409i	0.0151225	+	1.43489i
$457$	5.49304	−	9.51423i	0.256954	−	0.445057i	−0.708471	−	0.705740i	$-0.750615\pi$
$457$	5.49304	−	9.51423i	0.256954	−	0.445057i	0.965424	+	0.260683i	$0.0839479\pi$
$458$	3.39121	−	6.80233i	0.158461	−	0.317852i
$459$	−4.88866	−	8.36834i	−0.228183	−	0.390601i
$460$	15.1271	+	20.0713i	0.705303	+	0.935827i
$461$	14.3875	−	8.30665i	0.670095	−	0.386879i	−0.126018	−	0.992028i	$-0.540220\pi$
$461$	14.3875	−	8.30665i	0.670095	−	0.386879i	0.796113	+	0.605149i	$0.206886\pi$
$462$	−12.4588	−	30.1355i	−0.579638	−	1.40203i
$463$	6.92387	+	3.99750i	0.321779	+	0.185779i	0.652185	−	0.758059i	$-0.273852\pi$
$463$	6.92387	+	3.99750i	0.321779	+	0.185779i	−0.330406	+	0.943839i	$0.607186\pi$
$464$	9.62262	−	2.40067i	0.446719	−	0.111448i
$465$	−0.665161	+	3.81026i	−0.0308461	+	0.176697i
$466$	−0.584316	−	9.54781i	−0.0270679	−	0.442294i
$467$	12.6639	+	21.9346i	0.586017	+	1.01501i	0.994748	+	0.102356i	$0.0326381\pi$
$467$	12.6639	+	21.9346i	0.586017	+	1.01501i	−0.408731	+	0.912655i	$0.634029\pi$
$468$	21.8072	−	6.75020i	1.00804	−	0.312028i
$469$	−27.8576	+	15.3540i	−1.28634	+	0.708983i
$470$	6.09656	+	9.21018i	0.281213	+	0.424834i
$471$	−4.88313	+	27.9722i	−0.225003	+	1.28889i
$472$	18.7228	−	15.9943i	0.861788	−	0.736198i
$473$	−19.7359	−	34.1835i	−0.907456	−	1.57176i
$474$	9.63827	+	1.08116i	0.442701	+	0.0496593i
$475$	−3.09745	−	5.36495i	−0.142121	−	0.246161i
$476$	1.00868	+	9.81781i	0.0462329	+	0.449999i
$477$	−15.8260	−	5.69922i	−0.724625	−	0.260949i
$478$	0.152798	+	0.230835i	0.00698883	+	0.0105581i
$479$	4.18768			0.191340			0.0956701	−	0.995413i	$-0.469501\pi$
$479$	4.18768			0.191340			0.0956701	+	0.995413i	$0.469501\pi$
$480$	19.4467	−	2.59750i	0.887616	−	0.118559i
$481$			4.25464i			0.193995i
$482$	−8.10953	+	16.2667i	−0.369379	+	0.740927i
$483$	−21.6916	−	18.8832i	−0.987003	−	0.859215i
$484$	−17.2357	−	22.8691i	−0.783440	−	1.03950i
$485$	−16.2293	−	28.1100i	−0.736936	−	1.27641i
$486$	15.8608	−	15.3113i	0.719459	−	0.694534i
$487$	29.8039	+	17.2073i	1.35054	+	0.779737i	0.988326	−	0.152356i	$-0.0486860\pi$
$487$	29.8039	+	17.2073i	1.35054	+	0.779737i	0.362219	+	0.932093i	$0.382019\pi$
$488$	−1.99908	+	5.64718i	−0.0904942	+	0.255636i
$489$	1.50609	−	8.62740i	0.0681079	−	0.390144i
$490$	9.54185	−	17.3751i	0.431057	−	0.784925i
$491$	−12.1909	−	7.03839i	−0.550166	−	0.317638i	0.199023	−	0.979995i	$-0.436223\pi$
$491$	−12.1909	−	7.03839i	−0.550166	−	0.317638i	−0.749189	+	0.662357i	$0.769556\pi$
$492$	−21.4658	−	13.8859i	−0.967752	−	0.626025i
$493$		−	4.62446i		−	0.208275i
$494$	−15.0158	+	30.1198i	−0.675593	+	1.35515i
$495$	5.35019	+	29.7493i	0.240473	+	1.33713i
$496$	−4.32824	+	1.07982i	−0.194344	+	0.0484852i
$497$	0.202259	−	10.1806i	0.00907255	−	0.456663i
$498$	−21.0848	−	15.5452i	−0.944831	−	0.696598i
$499$			15.6889i			0.702331i	0.936313	+	0.351166i	$0.114215\pi$
$499$			15.6889i			0.702331i	−0.936313	+	0.351166i	$0.885785\pi$
$500$	−19.1585	+	14.4391i	−0.856794	+	0.645738i
$501$	−5.30538	−	14.4995i	−0.237027	−	0.647791i
$502$	17.4309	+	8.68995i	0.777980	+	0.387851i
$503$	9.76063			0.435205			0.217603	−	0.976037i	$-0.430176\pi$
$503$	9.76063			0.435205			0.217603	+	0.976037i	$0.430176\pi$
$504$	−21.1540	+	7.51732i	−0.942272	+	0.334848i
$505$	7.59691			0.338058
$506$	−39.9670	−	19.9250i	−1.77675	−	0.885775i
$507$	2.51770	+	0.439518i	0.111815	+	0.0195197i
$508$	3.53951	−	2.66761i	0.157040	−	0.118356i
$509$		−	33.1208i		−	1.46806i	−0.679120	−	0.734028i	$-0.737638\pi$
$509$		−	33.1208i		−	1.46806i	0.679120	−	0.734028i	$-0.262362\pi$
$510$	1.01980	−	9.09130i	0.0451577	−	0.402570i
$511$	−1.30576	−	0.788869i	−0.0577633	−	0.0348975i
$512$	11.8291	+	19.2892i	0.522776	+	0.852470i
$513$	0.166111	+	32.5009i	0.00733399	+	1.43495i
$514$	−8.74131	+	17.5339i	−0.385563	+	0.773389i
$515$		−	18.5566i		−	0.817702i
$516$	−24.1906	+	12.3799i	−1.06493	+	0.544993i
$517$	−16.9963	−	9.81284i	−0.747498	−	0.431568i
$518$	−0.172582	−	4.18060i	−0.00758282	−	0.183685i
$519$	4.94010	−	1.80759i	0.216846	−	0.0793443i
$520$	20.3131	+	7.19076i	0.890788	+	0.315336i
$521$	12.6595	+	7.30899i	0.554624	+	0.320213i	0.750985	−	0.660319i	$-0.229579\pi$
$521$	12.6595	+	7.30899i	0.554624	+	0.320213i	−0.196361	+	0.980532i	$0.562912\pi$
$522$	10.2200	−	2.49086i	0.447317	−	0.109022i
$523$	−6.22510	−	10.7822i	−0.272205	−	0.471472i	0.697221	−	0.716856i	$-0.254419\pi$
$523$	−6.22510	−	10.7822i	−0.272205	−	0.471472i	−0.969426	+	0.245383i	$0.921086\pi$
$524$	−19.1428	−	25.3996i	−0.836259	−	1.10959i
$525$	2.98003	−	3.42324i	0.130059	−	0.149403i
$526$	−1.02116	+	2.04832i	−0.0445248	+	0.0893111i
$527$			2.08007i			0.0906094i
$528$	−28.8649	+	19.5473i	−1.25618	+	0.850689i
$529$	−16.3858			−0.712426
$530$	−8.76411	−	13.2401i	−0.380688	−	0.575112i
$531$	19.9503	−	16.8565i	0.865771	−	0.731509i
$532$	13.5327	−	30.2047i	0.586719	−	1.30954i
$533$	−14.0395	−	24.3172i	−0.608120	−	1.05329i
$534$	8.62622	−	11.7002i	0.373293	−	0.506316i
$535$	7.85236	+	13.6007i	0.339487	+	0.588009i
$536$	22.0872	+	25.8551i	0.954023	+	1.11677i
$537$	7.54676	−	2.76136i	0.325667	−	0.119162i
$538$	3.56745	+	5.38940i	0.153804	+	0.232354i
$539$	−1.39897	+	35.1944i	−0.0602579	+	1.51593i
$540$	20.6410	−	2.64306i	0.888246	−	0.113739i
$541$	−18.8784	−	32.6984i	−0.811647	−	1.40581i	−0.911711	−	0.410832i	$-0.865238\pi$
$541$	−18.8784	−	32.6984i	−0.811647	−	1.40581i	0.100064	−	0.994981i	$-0.468095\pi$
$542$	−2.06380	−	33.7229i	−0.0886479	−	1.44852i
$543$	5.07146	+	4.24076i	0.217637	+	0.181988i
$544$	10.0620	−	3.17455i	0.431406	−	0.136108i
$545$	28.6908	+	16.5646i	1.22898	+	0.709551i
$546$	−24.4440	−	3.23481i	−1.04611	−	0.138437i
$547$	−4.46357	+	2.57704i	−0.190848	+	0.110186i	−0.592380	−	0.805659i	$-0.701811\pi$
$547$	−4.46357	+	2.57704i	−0.190848	+	0.110186i	0.401531	+	0.915845i	$0.368478\pi$
$548$	−5.17817	−	6.87062i	−0.221200	−	0.293498i
$549$	−2.15283	+	5.97814i	−0.0918804	+	0.255141i
$550$	3.14445	−	6.30736i	0.134080	−	0.268947i
$551$	−7.75416	+	13.4306i	−0.330338	+	0.572162i
$552$	−15.0911	+	26.7865i	−0.642319	+	1.14011i
$553$	−8.96649	−	5.41708i	−0.381294	−	0.230358i
$554$	−15.5744	−	7.76441i	−0.661693	−	0.329878i
$555$	−0.666973	+	3.82064i	−0.0283114	+	0.162177i
$556$	8.72350	−	1.07175i	0.369959	−	0.0454524i
$557$	−21.0386	+	36.4399i	−0.891434	+	1.54401i	−0.0532780	+	0.998580i	$0.516967\pi$
$557$	−21.0386	+	36.4399i	−0.891434	+	1.54401i	−0.838156	+	0.545430i	$0.816366\pi$
$558$	−4.59694	+	1.12038i	−0.194604	+	0.0474296i
$559$	−29.8460			−1.26235
$560$	−20.2513	−	6.24167i	−0.855774	−	0.263759i
$561$	5.58565	+	15.2655i	0.235826	+	0.644508i
$562$	1.15529	+	18.8776i	0.0487330	+	0.796305i
$563$	−16.2896	−	28.2145i	−0.686526	−	1.18910i	−0.972955	−	0.230996i	$-0.925801\pi$
$563$	−16.2896	−	28.2145i	−0.686526	−	1.18910i	0.286429	−	0.958102i	$-0.407532\pi$
$564$	−7.33865	+	11.3446i	−0.309013	+	0.477693i
$565$	33.6693	+	19.4390i	1.41648	+	0.817804i
$566$	−0.557251	−	9.10556i	−0.0234230	−	0.382735i
$567$	−22.4801	+	7.85142i	−0.944076	+	0.329729i
$568$	−10.7032	+	1.98492i	−0.449096	+	0.0832854i
$569$	−20.3694	+	35.2808i	−0.853930	+	1.47905i	0.0237050	+	0.999719i	$0.492454\pi$
$569$	−20.3694	+	35.2808i	−0.853930	+	1.47905i	−0.877635	+	0.479330i	$0.840880\pi$
$570$	−18.2058	+	24.6935i	−0.762557	+	1.03429i
$571$	−23.1787	+	13.3822i	−0.969998	+	0.560029i	−0.899236	−	0.437465i	$-0.855877\pi$
$571$	−23.1787	+	13.3822i	−0.969998	+	0.560029i	−0.0707624	+	0.997493i	$0.522543\pi$
$572$	−38.0025	+	4.66892i	−1.58897	+	0.195217i
$573$	−6.13873	+	2.24617i	−0.256449	+	0.0938350i
$574$	14.7816	+	23.3246i	0.616973	+	0.973548i
$575$		−	6.21563i		−	0.259210i
$576$	12.4354	+	20.5271i	0.518141	+	0.855295i
$577$	4.34065	+	2.50607i	0.180704	+	0.104329i	0.587623	−	0.809135i	$-0.300064\pi$
$577$	4.34065	+	2.50607i	0.180704	+	0.104329i	−0.406920	+	0.913464i	$0.633397\pi$
$578$	1.16805	+	19.0861i	0.0485845	+	0.793878i
$579$	20.7103	+	3.61541i	0.860690	+	0.150251i
$580$	9.14038	+	3.87908i	0.379534	+	0.161070i
$581$	13.6578	+	24.7801i	0.566623	+	1.02805i
$582$	23.5625	−	31.9590i	0.976696	−	1.32474i
$583$	24.4331	+	14.1064i	1.01191	+	0.584229i
$584$	−0.544234	+	1.53740i	−0.0225206	+	0.0636180i
$585$	21.5036	+	7.74379i	0.889063	+	0.320166i
$586$	−17.0569	−	25.7682i	−0.704616	−	1.06447i
$587$	10.2852	+	17.8145i	0.424517	+	0.735285i	0.996375	−	0.0850676i	$-0.0271106\pi$
$587$	10.2852	+	17.8145i	0.424517	+	0.735285i	−0.571858	+	0.820352i	$0.693777\pi$
$588$	24.1499	+	2.18699i	0.995925	+	0.0901901i
$589$	3.48781	−	6.04106i	0.143713	−	0.248918i
$590$	24.6079	−	1.50598i	1.01309	−	0.0620000i
$591$	−7.06300	+	8.44653i	−0.290533	+	0.347444i
$592$	−4.34003	+	1.08276i	−0.178374	+	0.0445011i
$593$	−15.5093	+	8.95431i	−0.636891	+	0.367709i	−0.783416	−	0.621498i	$-0.786525\pi$
$593$	−15.5093	+	8.95431i	−0.636891	+	0.367709i	0.146525	+	0.989207i	$0.453191\pi$
$594$	−30.7279	+	20.5666i	−1.26078	+	0.843858i
$595$	−5.10966	+	8.45764i	−0.209476	+	0.346730i
$596$	5.51887	+	7.32268i	0.226062	+	0.299949i
$597$	−1.19937	−	3.27786i	−0.0490870	−	0.134154i
$598$	−28.1578	+	18.6387i	−1.15146	+	0.762194i
$599$	−18.2010	+	10.5083i	−0.743672	+	0.429360i	−0.823403	−	0.567457i	$-0.807927\pi$
$599$	−18.2010	+	10.5083i	−0.743672	+	0.429360i	0.0797306	+	0.996816i	$0.474594\pi$
$600$	−4.22729	−	2.38158i	−0.172578	−	0.0972278i
$601$	−17.3571	+	10.0211i	−0.708012	+	0.408771i	−0.810325	−	0.585981i	$-0.800709\pi$
$601$	−17.3571	+	10.0211i	−0.708012	+	0.408771i	0.102312	+	0.994752i	$0.467376\pi$
$602$	29.3266	−	1.21065i	1.19526	−	0.0493425i
$603$	23.2778	+	27.5503i	0.947947	+	1.12193i
$604$	37.5246	−	28.2811i	1.52685	−	1.15074i
$605$		−	28.6710i		−	1.16564i
$606$	3.72045	+	8.51591i	0.151133	+	0.345935i
$607$	−18.5971			−0.754833			−0.377417	−	0.926044i	$-0.623188\pi$
$607$	−18.5971			−0.754833			−0.377417	+	0.926044i	$0.623188\pi$
$608$	−34.5457	−	7.65203i	−1.40101	−	0.310331i
$609$	−11.1517	−	2.17586i	−0.451890	−	0.0881704i
$610$	−5.00132	+	3.31056i	−0.202498	+	0.134041i
$611$	−12.8515	+	7.41984i	−0.519918	+	0.300175i
$612$	10.6905	−	3.30914i	0.432138	−	0.133764i
$613$	16.7357	−	28.9871i	0.675949	−	1.17078i	−0.300242	−	0.953863i	$-0.597067\pi$
$613$	16.7357	−	28.9871i	0.675949	−	1.17078i	0.976191	−	0.216915i	$-0.0695993\pi$
$614$	6.33122	+	3.15634i	0.255507	+	0.127380i
$615$	−8.79538	−	24.0376i	−0.354664	−	0.969289i
$616$	37.1519	−	6.12918i	1.49689	−	0.246952i
$617$	−12.3643	+	21.4156i	−0.497769	+	0.862161i	−0.999997	−	0.00257408i	$-0.999181\pi$
$617$	−12.3643	+	21.4156i	−0.497769	+	0.862161i	0.502228	+	0.864735i	$0.332514\pi$
$618$	20.8014	−	9.08778i	0.836756	−	0.365564i
$619$	−42.6300			−1.71345			−0.856723	−	0.515777i	$-0.827503\pi$
$619$	−42.6300			−1.71345			−0.856723	+	0.515777i	$0.827503\pi$
$620$	−4.11133	−	1.74481i	−0.165115	−	0.0700731i
$621$	−16.1605	+	28.3241i	−0.648498	+	1.13661i
$622$	−1.76173	−	28.7870i	−0.0706391	−	1.15425i
$623$	−13.7508	+	7.57889i	−0.550913	+	0.303642i
$624$	1.88735	+	26.2919i	0.0755545	+	1.05252i
$625$	−19.0670			−0.762681
$626$	16.4484	+	24.8488i	0.657409	+	0.993159i
$627$	9.37456	−	53.7006i	0.374384	−	2.14460i
$628$	−30.1824	−	12.8091i	−1.20441	−	0.511138i
$629$			2.08574i			0.0831639i
$630$	−21.4435	−	6.73678i	−0.854330	−	0.268400i
$631$		−	43.8344i		−	1.74502i	−0.488596	−	0.872510i	$-0.662491\pi$
$631$		−	43.8344i		−	1.74502i	0.488596	−	0.872510i	$-0.337509\pi$
$632$	−3.73720	+	10.5572i	−0.148658	+	0.419941i
$633$	29.7259	−	10.8767i	1.18150	−	0.432311i
$634$	14.2411	−	9.42673i	0.565587	−	0.374383i
$635$	4.43749			0.176097
$636$	10.5497	−	16.3084i	0.418322	−	0.646670i
$637$	22.5175	+	14.2220i	0.892177	+	0.563495i
$638$	−17.6103	+	1.07773i	−0.697197	+	0.0426677i
$639$	−11.3637	+	2.04367i	−0.449541	+	0.0808465i
$640$	−2.16563	+	22.5508i	−0.0856041	+	0.891398i
$641$	26.2084			1.03517			0.517584	−	0.855632i	$-0.326832\pi$
$641$	26.2084			1.03517			0.517584	+	0.855632i	$0.326832\pi$
$642$	−11.4004	+	15.4630i	−0.449938	+	0.610275i
$643$	24.8988	−	43.1259i	0.981911	−	1.70072i	0.326981	−	0.945031i	$-0.393969\pi$
$643$	24.8988	−	43.1259i	0.981911	−	1.70072i	0.654930	−	0.755690i	$-0.272698\pi$
$644$	26.9118	−	19.4566i	1.06047	−	0.766696i
$645$	−26.8016	−	4.67877i	−1.05531	−	0.184226i
$646$	−7.36116	+	14.7655i	−0.289621	+	0.580942i
$647$	7.44967	−	12.9032i	0.292877	−	0.507277i	−0.681612	−	0.731714i	$-0.738721\pi$
$647$	7.44967	−	12.9032i	0.292877	−	0.507277i	0.974489	+	0.224436i	$0.0720541\pi$
$648$	13.0714	+	21.8435i	0.513491	+	0.858095i
$649$	−37.9376	+	21.9033i	−1.48918	+	0.859778i
$650$	−2.94145	−	4.44370i	−0.115373	−	0.174296i
$651$	5.01602	+	0.978699i	0.196593	+	0.0383583i
$652$	9.30909	+	3.95068i	0.364572	+	0.154721i
$653$	43.2148			1.69113			0.845563	−	0.533876i	$-0.179265\pi$
$653$	43.2148			1.69113			0.845563	+	0.533876i	$0.179265\pi$
$654$	−4.51765	+	40.2737i	−0.176654	+	1.57483i
$655$		−	31.8436i		−	1.24423i
$656$	21.2324	−	20.5098i	0.828984	−	0.800772i
$657$	−0.586090	+	1.62750i	−0.0228655	+	0.0634949i
$658$	12.3269	−	7.81203i	0.480554	−	0.304545i
$659$	28.1704	−	16.2642i	1.09736	−	0.633562i	0.161835	−	0.986818i	$-0.448259\pi$
$659$	28.1704	−	16.2642i	1.09736	−	0.633562i	0.935527	+	0.353256i	$0.114925\pi$
$660$	−34.8580	−	1.76476i	−1.35685	−	0.0686932i
$661$	26.1675	−	15.1078i	1.01780	−	0.587627i	0.104333	−	0.994542i	$-0.466729\pi$
$661$	26.1675	−	15.1078i	1.01780	−	0.587627i	0.913466	+	0.406916i	$0.133396\pi$
$662$	0.994933	+	1.50306i	0.0386692	+	0.0584182i
$663$	12.1081	+	2.11372i	0.470239	+	0.0820901i
$664$	22.9989	−	19.6472i	0.892530	−	0.762460i
$665$	29.0213	−	15.9954i	1.12540	−	0.620275i
$666$	−4.60946	+	1.12344i	−0.178613	+	0.0435322i
$667$	−13.4755	+	7.78009i	−0.521774	+	0.301246i
$668$	17.6951	−	2.17399i	0.684646	−	0.0841142i
$669$	28.0944	+	4.90446i	1.08619	+	0.189617i
$670$	2.07967	+	33.9821i	0.0803445	+	1.31284i
$671$	5.32858	−	9.22937i	0.205708	−	0.356296i
$672$	−2.92100	−	25.7579i	−0.112680	−	0.993631i
$673$	−7.60245	−	13.1678i	−0.293053	−	0.507582i	0.681477	−	0.731839i	$-0.261338\pi$
$673$	−7.60245	−	13.1678i	−0.293053	−	0.507582i	−0.974530	+	0.224257i	$0.928005\pi$
$674$	14.4469	−	9.56294i	0.556474	−	0.368351i
$675$	−4.46994	−	2.55035i	−0.172048	−	0.0981631i
$676$	−1.15291	+	2.71664i	−0.0443428	+	0.104486i
$677$	35.2936	+	20.3768i	1.35644	+	0.783143i	0.989143	−	0.146959i	$-0.0469484\pi$
$677$	35.2936	+	20.3768i	1.35644	+	0.783143i	0.367301	+	0.930102i	$0.380282\pi$
$678$	−5.30157	+	47.2622i	−0.203605	+	1.81509i
$679$	−37.5602	+	20.7017i	−1.44143	+	0.794459i
$680$	9.95804	+	3.52511i	0.381873	+	0.135182i
$681$	−0.490454	+	0.586526i	−0.0187942	+	0.0224757i
$682$	7.92108	−	0.484761i	0.303314	−	0.0185625i
$683$	1.67736	+	0.968424i	0.0641824	+	0.0370557i	0.531748	−	0.846903i	$-0.321535\pi$
$683$	1.67736	+	0.968424i	0.0641824	+	0.0370557i	−0.467565	+	0.883958i	$0.654869\pi$
$684$	−36.5966	−	8.31497i	−1.39931	−	0.317931i
$685$		−	8.61373i		−	0.329114i
$686$	−22.7026	−	13.0611i	−0.866789	−	0.498675i
$687$	7.14131	+	5.97157i	0.272458	+	0.227830i
$688$	−7.59548	−	30.4450i	−0.289575	−	1.16071i
$689$	18.4747	−	10.6664i	0.703831	−	0.406357i
$690$	−28.2075	+	12.3233i	−1.07384	+	0.469142i
$691$	−8.02376	+	13.8976i	−0.305238	+	0.528688i	−0.977314	−	0.211794i	$-0.932069\pi$
$691$	−8.02376	+	13.8976i	−0.305238	+	0.528688i	0.672076	+	0.740482i	$0.265403\pi$
$692$	0.740696	+	6.02888i	0.0281570	+	0.229184i
$693$	39.4402	−	6.28700i	1.49821	−	0.238823i
$694$	−12.1901	+	0.746021i	−0.462730	+	0.0283186i
$695$	7.62070	+	4.39981i	0.289069	+	0.166894i
$696$	0.128007	+	12.1458i	0.00485208	+	0.460386i
$697$	−6.88257	−	11.9210i	−0.260696	−	0.451538i
$698$	11.2691	−	0.689657i	0.426542	−	0.0261039i
$699$	11.5410	+	2.01472i	0.436520	+	0.0762036i
$700$	3.07052	+	4.24706i	0.116055	+	0.160524i
$701$	−15.9608			−0.602830			−0.301415	−	0.953493i	$-0.597459\pi$
$701$	−15.9608			−0.602830			−0.301415	+	0.953493i	$0.597459\pi$
$702$	1.85044	+	27.8973i	0.0698405	+	1.05291i
$703$	3.49731	−	6.05751i	0.131903	−	0.228463i
$704$	−14.4339	−	37.5771i	−0.543996	−	1.41624i
$705$	−12.7038	+	4.64833i	−0.478452	+	0.175066i
$706$	11.9401	−	23.9503i	0.449372	−	0.901383i
$707$	0.199381	−	10.0358i	0.00749849	−	0.377433i
$708$	13.7394	+	26.8472i	0.516360	+	1.00898i
$709$	1.54644	−	2.67851i	0.0580776	−	0.100593i	−0.835525	−	0.549453i	$-0.814836\pi$
$709$	1.54644	−	2.67851i	0.0580776	−	0.100593i	0.893602	+	0.448859i	$0.148170\pi$
$710$	−9.75382	−	4.86263i	−0.366054	−	0.182491i
$711$	−4.02462	+	11.1759i	−0.150935	+	0.419128i
$712$	10.9025	+	12.7623i	0.408587	+	0.478289i
$713$	6.06127	−	3.49947i	0.226996	−	0.131056i
$714$	−11.9831	−	1.58579i	−0.448458	−	0.0593469i
$715$	−33.1983	−	19.1671i	−1.24155	−	0.716808i
$716$	1.13152	+	9.21002i	0.0422871	+	0.344195i
$717$	−0.318395	+	0.116501i	−0.0118907	+	0.00435081i
$718$	−37.1580	+	2.27403i	−1.38672	+	0.0848660i
$719$	12.5658	+	21.7645i	0.468624	+	0.811680i	0.999357	−	0.0358588i	$-0.0114167\pi$
$719$	12.5658	+	21.7645i	0.468624	+	0.811680i	−0.530733	+	0.847539i	$0.678083\pi$
$720$	−2.42679	+	23.9059i	−0.0904412	+	0.890920i
$721$	−24.5139	−	0.487019i	−0.912945	−	0.0181375i
$722$	23.7311	−	15.7085i	0.883179	−	0.584609i
$723$	−17.0773	−	14.2800i	−0.635112	−	0.531081i
$724$	−6.09612	+	4.59445i	−0.226560	+	0.170751i
$725$	−1.22781	−	2.12663i	−0.0455996	−	0.0789809i
$726$	32.1394	−	14.0411i	1.19280	−	0.521116i
$727$	26.4226	+	45.7653i	0.979960	+	1.69734i	0.662486	+	0.749074i	$0.269501\pi$
$727$	26.4226	+	45.7653i	0.979960	+	1.69734i	0.317474	+	0.948267i	$0.397165\pi$
$728$	10.0323	−	26.6455i	0.371824	−	0.987549i
$729$	13.7383	+	23.2435i	0.508826	+	0.860869i
$730$	−1.36157	+	0.901273i	−0.0503939	+	0.0333576i
$731$	−14.6313			−0.541159
$732$	−6.16035	−	3.98504i	−0.227693	−	0.147291i
$733$		−	3.85524i		−	0.142397i	−0.997462	−	0.0711983i	$-0.977318\pi$
$733$		−	3.85524i		−	0.142397i	0.997462	−	0.0711983i	$-0.0226823\pi$
$734$	−1.97431	−	0.984264i	−0.0728730	−	0.0363299i
$735$	17.9911	+	16.3012i	0.663613	+	0.601278i
$736$	−26.1787	−	23.9796i	−0.964959	−	0.883901i
$737$	−30.2471	−	52.3896i	−1.11417	−	1.92980i
$738$	22.6381	−	21.6313i	0.833318	−	0.796261i
$739$	3.15539	+	1.82177i	0.116073	+	0.0670148i	0.556912	−	0.830571i	$-0.311986\pi$
$739$	3.15539	+	1.82177i	0.116073	+	0.0670148i	−0.440840	+	0.897586i	$0.645319\pi$
$740$	−4.12253	−	1.74956i	−0.151547	−	0.0643150i
$741$	−31.6207	−	26.4413i	−1.16162	−	0.971344i
$742$	−17.7206	+	11.2302i	−0.650543	+	0.412273i
$743$	10.9054	+	6.29626i	0.400082	+	0.230987i	0.686519	−	0.727112i	$-0.259138\pi$
$743$	10.9054	+	6.29626i	0.400082	+	0.230987i	−0.286437	+	0.958099i	$0.592471\pi$
$744$	−0.0575772	−	5.46317i	−0.00211088	−	0.200289i
$745$			9.18048i			0.336347i
$746$	−45.5607	−	22.7137i	−1.66810	−	0.831607i
$747$	24.5067	−	20.7063i	0.896655	−	0.757604i
$748$	−18.6299	+	2.28883i	−0.681177	+	0.0836880i
$749$	18.1730	−	10.0163i	0.664028	−	0.365987i
$750$	−11.7629	−	26.9247i	−0.429521	−	0.983151i
$751$			13.3856i			0.488447i	0.969719	+	0.244223i	$0.0785330\pi$
$751$			13.3856i			0.488447i	−0.969719	+	0.244223i	$0.921467\pi$
$752$	−10.8393	−	11.2212i	−0.395270	−	0.409196i
$753$	−15.3021	+	18.2996i	−0.557640	+	0.666873i
$754$	−5.95215	+	11.9392i	−0.216765	+	0.434802i
$755$	47.0448			1.71213
$756$	−2.94985	−	27.3368i	−0.107285	−	0.994228i
$757$	1.72257			0.0626080			0.0313040	−	0.999510i	$-0.490034\pi$
$757$	1.72257			0.0626080			0.0313040	+	0.999510i	$0.490034\pi$
$758$	12.2891	−	24.6504i	0.446360	−	0.895342i
$759$	35.0859	−	41.9587i	1.27354	−	1.52300i
$760$	−23.0099	−	26.9352i	−0.834655	−	0.977041i
$761$		−	20.7093i		−	0.750710i	−0.926881	−	0.375355i	$-0.877521\pi$
$761$		−	20.7093i		−	0.750710i	0.926881	−	0.375355i	$-0.122479\pi$
$762$	2.17319	+	4.97430i	0.0787262	+	0.180200i
$763$	22.6354	−	37.4667i	0.819456	−	1.35639i
$764$	−0.920413	−	7.49168i	−0.0332994	−	0.271040i
$765$	10.5416	+	3.79622i	0.381134	+	0.137253i
$766$	−0.125491	−	0.0625621i	−0.00453419	−	0.00226046i
$767$			33.1237i			1.19603i
$768$	−26.3393	+	8.61624i	−0.950439	+	0.310912i
$769$	−6.19700	−	3.57784i	−0.223470	−	0.129020i	0.384086	−	0.923297i	$-0.374517\pi$
$769$	−6.19700	−	3.57784i	−0.223470	−	0.129020i	−0.607556	+	0.794277i	$0.707850\pi$
$770$	33.3981	+	17.4869i	1.20359	+	0.630184i
$771$	−18.4077	−	15.3925i	−0.662938	−	0.554349i
$772$	−9.48371	+	22.3467i	−0.341326	+	0.804276i
$773$	28.6131	+	16.5198i	1.02914	+	0.594176i	0.916739	−	0.399487i	$-0.130812\pi$
$773$	28.6131	+	16.5198i	1.02914	+	0.594176i	0.112404	+	0.993663i	$0.464145\pi$
$774$	−7.88083	−	32.3351i	−0.283271	−	1.16226i
$775$	0.552266	+	0.956553i	0.0198380	+	0.0343604i
$776$	29.7800	+	34.8603i	1.06904	+	1.25141i
$777$	5.02968	+	0.981365i	0.180439	+	0.0352063i
$778$	33.6236	+	16.7626i	1.20546	+	0.600968i
$779$			46.1620i			1.65392i
$780$	−14.3343	+	22.1590i	−0.513251	+	0.793419i
$781$	19.3655			0.692952
$782$	−13.8037	+	9.13721i	−0.493621	+	0.326746i
$783$	0.0658453	+	12.8831i	0.00235312	+	0.460405i
$784$	−8.77695	+	26.5888i	−0.313462	+	0.949601i
$785$	−16.4136	−	28.4292i	−0.585827	−	1.01468i
$786$	35.6957	−	15.5948i	1.27322	−	0.556249i
$787$	11.7413	+	20.3366i	0.418533	+	0.724920i	0.995792	−	0.0916406i	$-0.0292111\pi$
$787$	11.7413	+	20.3366i	0.418533	+	0.724920i	−0.577259	+	0.816561i	$0.695878\pi$
$788$	−7.65207	−	10.1531i	−0.272594	−	0.361690i
$789$	−2.15040	−	1.79816i	−0.0765562	−	0.0640163i
$790$	−9.34975	+	6.18895i	−0.332649	+	0.220193i
$791$	26.5632	−	43.9680i	0.944477	−	1.56332i
$792$	−15.0929	−	39.9391i	−0.536301	−	1.41917i
$793$	−4.02913	−	6.97866i	−0.143079	−	0.247820i
$794$	−38.2067	+	2.33821i	−1.35591	+	0.0829799i
$795$	18.2623	−	6.68220i	0.647698	−	0.236993i
$796$	4.00029	−	0.491467i	0.141786	−	0.0174196i
$797$	15.6061	+	9.01016i	0.552795	+	0.319156i	0.750248	−	0.661156i	$-0.229934\pi$
$797$	15.6061	+	9.01016i	0.552795	+	0.319156i	−0.197454	+	0.980312i	$0.563267\pi$
$798$	32.1430	+	24.6985i	1.13785	+	0.874318i
$799$	−6.30018	+	3.63741i	−0.222884	+	0.128682i
$800$	3.78432	−	4.13136i	0.133796	−	0.146066i
$801$	11.4902	+	13.5991i	0.405985	+	0.480500i
$802$	40.4984	+	20.1899i	1.43005	+	0.712932i
$803$	1.45066	−	2.51262i	0.0511928	−	0.0886685i
$804$	−37.0744	+	18.9734i	−1.30751	+	0.669139i
$805$	33.2417	+	0.660415i	1.17162	+	0.0232766i
$806$	2.67727	−	5.37026i	0.0943028	−	0.189159i
$807$	−7.43372	+	2.72000i	−0.261679	+	0.0957486i
$808$	−10.5509	+	1.95668i	−0.371179	+	0.0688356i
$809$	6.22093	−	10.7750i	0.218716	−	0.378828i	−0.735699	−	0.677308i	$-0.763146\pi$
$809$	6.22093	−	10.7750i	0.218716	−	0.378828i	0.954416	+	0.298480i	$0.0964797\pi$
$810$	−2.71159	+	25.3417i	−0.0952756	+	0.890416i
$811$	−11.5370			−0.405118			−0.202559	−	0.979270i	$-0.564926\pi$
$811$	−11.5370			−0.405118			−0.202559	+	0.979270i	$0.564926\pi$
$812$	5.36428	−	11.9729i	0.188249	−	0.420168i
$813$	40.7627	+	7.11598i	1.42961	+	0.249568i
$814$	7.94265	−	0.486082i	0.278390	−	0.0170372i
$815$	5.06242	+	8.76836i	0.177329	+	0.307142i
$816$	0.925231	+	12.8890i	0.0323896	+	0.451206i
$817$	42.4931	+	24.5334i	1.48664	+	0.858315i
$818$	−30.8713	+	1.88929i	−1.07939	+	0.0660574i
$819$	10.7942	−	28.2037i	0.377178	−	0.985516i
$820$	29.3354	−	3.60408i	1.02444	−	0.125860i
$821$	−15.3484	+	26.5841i	−0.535661	+	0.927792i	0.463470	+	0.886113i	$0.346604\pi$
$821$	−15.3484	+	26.5841i	−0.535661	+	0.927792i	−0.999131	+	0.0416797i	$0.986729\pi$
$822$	9.65573	−	4.21842i	0.336782	−	0.147134i
$823$	−37.4029	+	21.5946i	−1.30378	+	0.752740i	−0.981051	−	0.193749i	$-0.937935\pi$
$823$	−37.4029	+	21.5946i	−1.30378	+	0.752740i	−0.322734	+	0.946490i	$0.604602\pi$
$824$	4.77948	+	25.7722i	0.166501	+	0.897816i
$825$	6.62167	+	5.53705i	0.230537	+	0.192775i
$826$	−1.34361	−	32.5473i	−0.0467501	−	1.13247i
$827$			24.5381i			0.853273i	0.904423	+	0.426637i	$0.140302\pi$
$827$			24.5381i			0.853273i	−0.904423	+	0.426637i	$0.859698\pi$
$828$	−27.6282	−	25.5846i	−0.960147	−	0.889125i
$829$	−44.2845	−	25.5676i	−1.53806	−	0.888001i	−0.998952	−	0.0457657i	$-0.985427\pi$
$829$	−44.2845	−	25.5676i	−1.53806	−	0.888001i	−0.539110	−	0.842235i	$-0.681239\pi$
$830$	30.2280	−	1.84992i	1.04923	−	0.0642117i
$831$	13.6723	−	16.3505i	0.474287	−	0.567193i
$832$	−30.0637	−	4.75494i	−1.04227	−	0.164848i
$833$	11.0387	+	6.97200i	0.382469	+	0.241565i
$834$	−1.19995	+	10.6973i	−0.0415510	+	0.370417i
$835$	15.4582	+	8.92477i	0.534952	+	0.308854i
$836$	57.9438	+	24.5907i	2.00403	+	0.850488i
$837$	−0.0296171	−	5.79481i	−0.00102372	−	0.200298i
$838$	22.7080	−	15.0313i	0.784434	−	0.519246i
$839$	14.4267	+	24.9878i	0.498066	+	0.862675i	0.999998	−	0.00223194i	$-0.000710448\pi$
$839$	14.4267	+	24.9878i	0.498066	+	0.862675i	−0.501932	+	0.864907i	$0.667377\pi$
$840$	13.1861	−	22.3548i	0.454962	−	0.771315i
$841$	11.4263	−	19.7909i	0.394011	−	0.682447i
$842$	−2.91755	−	47.6733i	−0.100546	−	1.64293i
$843$	−22.8184	−	3.98344i	−0.785909	−	0.137197i
$844$	4.45696	+	36.2773i	0.153415	+	1.24872i
$845$	−2.55884	+	1.47735i	−0.0880268	+	0.0508223i
$846$	−11.4321	−	11.9641i	−0.393043	−	0.411335i
$847$	−37.8754	−	0.752472i	−1.30141	−	0.0258552i
$848$	15.5821	+	16.1311i	0.535091	+	0.553943i
$849$	11.0064	+	1.92140i	0.377739	+	0.0659422i
$850$	−1.44198	−	2.17842i	−0.0494595	−	0.0747193i
$851$	6.07778	−	3.50901i	0.208344	−	0.120287i
$852$	0.674107	−	13.3151i	0.0230945	−	0.456169i
$853$	−2.27160	+	1.31151i	−0.0777781	+	0.0449052i	−0.538385	−	0.842699i	$-0.680965\pi$
$853$	−2.27160	+	1.31151i	−0.0777781	+	0.0449052i	0.460607	+	0.887604i	$0.347632\pi$
$854$	4.24210	+	6.69379i	0.145162	+	0.229057i
$855$	−24.2502	−	28.7011i	−0.829340	−	0.981557i
$856$	−14.4087	−	16.8667i	−0.492479	−	0.576493i
$857$		−	20.7061i		−	0.707307i	−0.935376	−	0.353654i	$-0.884939\pi$
$857$		−	20.7061i		−	0.707307i	0.935376	−	0.353654i	$-0.115061\pi$
$858$	5.22741	−	46.6011i	0.178461	−	1.59094i
$859$	54.5095			1.85984			0.929920	−	0.367763i	$-0.119876\pi$
$859$	54.5095			1.85984			0.929920	+	0.367763i	$0.119876\pi$
$860$	12.2730	−	28.9193i	0.418507	−	0.986139i
$861$	−31.9853	+	10.9881i	−1.09006	+	0.374474i
$862$	−2.32354	−	3.51021i	−0.0791400	−	0.119558i
$863$	−27.4054	+	15.8225i	−0.932891	+	0.538605i	−0.887725	−	0.460375i	$-0.847715\pi$
$863$	−27.4054	+	15.8225i	−0.932891	+	0.538605i	−0.0451662	+	0.998979i	$0.514382\pi$
$864$	−27.9863	+	8.98713i	−0.952112	+	0.305748i
$865$	−3.04074	+	5.26672i	−0.103388	+	0.179074i
$866$	16.1478	−	32.3903i	0.548723	−	1.10067i
$867$	−23.0705	−	4.02743i	−0.783515	−	0.136779i
$868$	−2.41285	+	5.38541i	−0.0818973	+	0.182793i
$869$	9.96155	−	17.2539i	0.337922	−	0.585299i
$870$	−7.21664	+	9.78830i	−0.244667	+	0.331855i
$871$	−45.7419			−1.54991
$872$	−44.1133	−	15.6160i	−1.49387	−	0.528823i
$873$	31.3853	+	37.1458i	1.06223	+	1.25720i
$874$	55.4106	−	3.39107i	1.87429	−	0.114705i
$875$	−0.630381	+	31.7300i	−0.0213108	+	1.07267i
$876$	−1.67711	−	1.08490i	−0.0566641	−	0.0366552i
$877$	7.91019			0.267108			0.133554	−	0.991042i	$-0.457361\pi$
$877$	7.91019			0.267108			0.133554	+	0.991042i	$0.457361\pi$
$878$	−34.3532	+	22.7397i	−1.15936	+	0.767427i
$879$	35.5426	−	13.0051i	1.19882	−	0.438650i
$880$	11.1032	−	38.7425i	0.374288	−	1.30601i
$881$			22.7935i			0.767932i	0.923347	+	0.383966i	$0.125442\pi$
$881$			22.7935i			0.767932i	−0.923347	+	0.383966i	$0.874558\pi$
$882$	−9.46229	+	28.1508i	−0.318612	+	0.947885i
$883$		−	13.4192i		−	0.451591i	−0.974175	−	0.225795i	$-0.927502\pi$
$883$		−	13.4192i		−	0.451591i	0.974175	−	0.225795i	$-0.0724981\pi$
$884$	−5.54457	+	13.0648i	−0.186484	+	0.439417i
$885$	−5.19260	+	29.7449i	−0.174547	+	0.999865i
$886$	19.8226	+	29.9463i	0.665953	+	1.00607i
$887$	58.3174			1.95811			0.979053	−	0.203605i	$-0.0652659\pi$
$887$	58.3174			1.95811			0.979053	+	0.203605i	$0.0652659\pi$
$888$	−0.0577340	−	5.47805i	−0.00193743	−	0.183831i
$889$	0.116462	−	5.86207i	0.00390601	−	0.196608i
$890$	1.02654	+	16.7739i	0.0344098	+	0.562261i
$891$	−15.7782	−	42.4480i	−0.528590	−	1.42206i
$892$	−12.8651	+	30.3143i	−0.430754	+	1.01500i
$893$	24.3964			0.816395
$894$	−10.2910	+	4.49598i	−0.344184	+	0.150368i
$895$	−4.64519	+	8.04571i	−0.155272	+	0.268938i
$896$	29.7335	+	3.45272i	0.993325	+	0.115347i
$897$	−14.2111	−	38.8387i	−0.474495	−	1.29679i
$898$	−38.9229	−	19.4045i	−1.29887	−	0.647535i
$899$	1.38254	−	2.39463i	0.0461103	−	0.0798654i
$900$	4.03761	−	4.36012i	0.134587	−	0.145337i
$901$	9.05682	−	5.22896i	0.301727	−	0.174202i
$902$	−43.7919	+	28.9875i	−1.45811	+	0.965178i
$903$	−6.88421	+	35.2829i	−0.229092	+	1.17414i
$904$	−51.7680	−	18.3257i	−1.72178	−	0.609504i
$905$	−7.64273			−0.254053
$906$	23.0393	+	52.7358i	0.765431	+	1.75203i
$907$		−	2.07741i		−	0.0689794i	−0.999405	−	0.0344897i	$-0.989019\pi$
$907$		−	2.07741i		−	0.0689794i	0.999405	−	0.0344897i	$-0.0109806\pi$
$908$	−0.531359	−	0.705031i	−0.0176338	−	0.0233973i
$909$	−11.2020	+	2.01460i	−0.371547	+	0.0668199i
$910$	24.0778	−	15.2590i	0.798171	−	0.505830i
$911$	−39.6927	+	22.9166i	−1.31508	+	0.759261i	−0.982933	−	0.183966i	$-0.941106\pi$
$911$	−39.6927	+	22.9166i	−1.31508	+	0.759261i	−0.332147	+	0.943228i	$0.607773\pi$
$912$	18.9248	−	38.9844i	0.626664	−	1.29090i
$913$	−46.6020	+	26.9057i	−1.54230	+	0.890449i
$914$	−12.9555	+	8.57573i	−0.428530	+	0.283660i
$915$	−2.52414	−	6.89843i	−0.0834455	−	0.228055i
$916$	−8.58417	+	6.46961i	−0.283629	+	0.213762i
$917$	−42.0664	−	0.835735i	−1.38915	−	0.0275984i
$918$	0.907138	+	13.6760i	0.0299400	+	0.451376i
$919$	−3.35149	+	1.93498i	−0.110555	+	0.0638292i	−0.554258	−	0.832345i	$-0.686998\pi$
$919$	−3.35149	+	1.93498i	−0.110555	+	0.0638292i	0.443703	+	0.896174i	$0.353665\pi$
$920$	−6.48115	−	34.9480i	−0.213677	−	1.15220i
$921$	−5.55800	+	6.64673i	−0.183142	+	0.219017i
$922$	−23.4509	+	1.43517i	−0.772314	+	0.0472648i
$923$	7.32148	−	12.6812i	0.240989	−	0.417406i
$924$	−3.24615	+	46.0022i	−0.106791	+	1.51336i
$925$	0.553771	+	0.959159i	0.0182079	+	0.0315369i
$926$	−6.24089	−	9.42821i	−0.205088	−	0.309830i
$927$	4.92096	+	27.3626i	0.161626	+	0.898707i
$928$	−13.6936	−	3.03321i	−0.449516	−	0.0995700i
$929$	6.96346	+	4.02036i	0.228464	+	0.131904i	0.609863	−	0.792507i	$-0.291224\pi$
$929$	6.96346	+	4.02036i	0.228464	+	0.131904i	−0.381399	+	0.924410i	$0.624558\pi$
$930$	3.24604	−	4.40276i	0.106442	−	0.144372i
$931$	−20.3688	−	38.7578i	−0.667560	−	1.27024i
$932$	−5.28487	+	12.4529i	−0.173112	+	0.407908i
$933$	34.7965	+	6.07445i	1.13918	+	0.198869i
$934$	−2.18799	−	35.7521i	−0.0715932	−	1.16985i
$935$	−16.2747	−	9.39623i	−0.532241	−	0.307290i
$936$	−31.8596	−	5.21638i	−1.04136	−	0.170503i
$937$			51.2010i			1.67267i	0.548222	+	0.836333i	$0.315305\pi$
$937$			51.2010i			1.67267i	−0.548222	+	0.836333i	$0.684695\pi$
$938$	44.9460	−	1.85544i	1.46754	−	0.0605824i
$939$	−34.2745	+	12.5411i	−1.11851	+	0.409262i
$940$	−1.90475	−	15.5036i	−0.0621259	−	0.505673i
$941$	−48.6046	+	28.0619i	−1.58446	+	0.914790i	−0.590267	+	0.807208i	$0.700977\pi$
$941$	−48.6046	+	28.0619i	−1.58446	+	0.914790i	−0.994196	+	0.107582i	$0.965689\pi$
$942$	23.8300	−	32.3219i	0.776424	−	1.05310i
$943$	−23.1582	+	40.1112i	−0.754134	+	1.30620i
$944$	−33.7885	+	8.42962i	−1.09972	+	0.274361i
$945$	14.1144	−	23.6346i	0.459142	−	0.768835i
$946$	3.40983	+	55.7172i	0.110863	+	1.81152i
$947$	7.57213	+	4.37177i	0.246061	+	0.142063i	0.617959	−	0.786210i	$-0.287960\pi$
$947$	7.57213	+	4.37177i	0.246061	+	0.142063i	−0.371898	+	0.928274i	$0.621293\pi$
$948$	−11.5165	−	7.44986i	−0.374039	−	0.241960i
$949$	−1.09690	−	1.89988i	−0.0356068	−	0.0616728i
$950$	0.535158	+	8.74456i	0.0173628	+	0.283711i
$951$	7.18742	+	19.6431i	0.233068	+	0.636970i
$952$	4.91814	−	13.0624i	0.159398	−	0.423354i
$953$	−0.861914			−0.0279201			−0.0139601	−	0.999903i	$-0.504444\pi$
$953$	−0.861914			−0.0279201			−0.0139601	+	0.999903i	$0.504444\pi$
$954$	16.4342	+	17.1990i	0.532077	+	0.556839i
$955$	3.77853	−	6.54460i	0.122270	−	0.211778i
$956$	−0.0477387	−	0.388568i	−0.00154398	−	0.0125672i
$957$	3.71601	−	21.2865i	0.120121	−	0.688096i
$958$	−5.30015	−	2.64232i	−0.171240	−	0.0853694i
$959$	−11.3790	−	0.226067i	−0.367447	−	0.00730010i
$960$	−26.2517	−	8.98282i	−0.847269	−	0.289919i
$961$	14.8781	−	25.7697i	0.479940	−	0.831280i
$962$	2.68456	−	5.38488i	0.0865537	−	0.173616i
$963$	−15.1854	−	17.9725i	−0.489343	−	0.579157i
$964$	20.5277	−	15.4710i	0.661152	−	0.498289i
$965$	−21.0487	+	12.1525i	−0.677581	+	0.391201i
$966$	15.5392	+	37.5864i	0.499967	+	1.20932i
$967$	34.3142	+	19.8113i	1.10347	+	0.637090i	0.937131	−	0.348979i	$-0.113471\pi$
$967$	34.3142	+	19.8113i	1.10347	+	0.637090i	0.166341	+	0.986068i	$0.446805\pi$
$968$	7.38458	+	39.8195i	0.237349	+	1.27985i
$969$	−15.5014	−	12.9622i	−0.497975	−	0.416407i
$970$	2.80400	+	45.8178i	0.0900309	+	1.47112i
$971$	−5.76791	−	9.99031i	−0.185101	−	0.320604i	0.758510	−	0.651662i	$-0.225928\pi$
$971$	−5.76791	−	9.99031i	−0.185101	−	0.320604i	−0.943611	+	0.331058i	$0.892595\pi$
$972$	−29.7352	+	9.37103i	−0.953758	+	0.300576i
$973$	6.01230	−	9.95171i	0.192745	−	0.319037i
$974$	−26.8640	−	40.5839i	−0.860779	−	1.30039i
$975$	6.12929	−	2.24271i	0.196294	−	0.0718242i
$976$	6.09336	−	5.88600i	0.195044	−	0.188406i
$977$	2.46473	+	4.26903i	0.0788536	+	0.136578i	0.902756	−	0.430154i	$-0.141541\pi$
$977$	2.46473	+	4.26903i	0.0788536	+	0.136578i	−0.823902	+	0.566732i	$0.808207\pi$
$978$	−7.34985	+	9.96897i	−0.235022	+	0.318773i
$979$	−14.9303	−	25.8600i	−0.477174	−	0.826489i
$980$	−23.0399	+	15.9701i	−0.735981	+	0.510147i
$981$	−46.6987	−	16.8170i	−1.49097	−	0.536924i
$982$	10.9883	+	16.6003i	0.350652	+	0.529735i
$983$	−6.53487			−0.208430			−0.104215	−	0.994555i	$-0.533233\pi$
$983$	−6.53487			−0.208430			−0.104215	+	0.994555i	$0.533233\pi$
$984$	18.4066	+	31.1190i	0.586779	+	0.992039i
$985$		−	12.7290i		−	0.405579i
$986$	−2.91791	+	5.85295i	−0.0929251	+	0.186396i
$987$	5.80718	+	16.9041i	0.184844	+	0.538064i
$988$	38.0095	−	28.6465i	1.20924	−	0.911368i
$989$	24.6155	+	42.6352i	0.782726	+	1.35572i
$990$	11.9996	−	41.0281i	0.381371	−	1.30396i
$991$	9.59915	+	5.54207i	0.304927	+	0.176050i	0.644654	−	0.764474i	$-0.277001\pi$
$991$	9.59915	+	5.54207i	0.304927	+	0.176050i	−0.339727	+	0.940524i	$0.610335\pi$
$992$	6.15938	+	1.36433i	0.195560	+	0.0433176i
$993$	−2.07320	+	0.758587i	−0.0657912	+	0.0240730i
$994$	−6.67968	+	12.7575i	−0.211867	+	0.404643i
$995$	3.49458	+	2.01760i	0.110786	+	0.0639621i
$996$	16.8773	+	32.9787i	0.534779	+	1.04497i
$997$			12.6388i			0.400275i	0.979768	+	0.200138i	$0.0641389\pi$
$997$			12.6388i			0.400275i	−0.979768	+	0.200138i	$0.935861\pi$
$998$	9.89927	−	19.8567i	0.313356	−	0.628552i
$999$	−0.0296978	−	5.81059i	−0.000939597	−	0.183839i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.7	✓	84
3.2	odd	2		756.2.n.b.199.36		84
4.3	odd	2	inner	252.2.n.b.31.35	yes	84
7.5	odd	6		252.2.bj.b.103.22	yes	84
9.2	odd	6		756.2.bj.b.451.21		84
9.7	even	3		252.2.bj.b.115.22	yes	84
12.11	even	2		756.2.n.b.199.8		84
21.5	even	6		756.2.bj.b.523.21		84
28.19	even	6		252.2.bj.b.103.21	yes	84
36.7	odd	6		252.2.bj.b.115.21	yes	84
36.11	even	6		756.2.bj.b.451.22		84
63.47	even	6		756.2.n.b.19.8		84
63.61	odd	6	inner	252.2.n.b.187.35	yes	84
84.47	odd	6		756.2.bj.b.523.22		84
252.47	odd	6		756.2.n.b.19.36		84
252.187	even	6	inner	252.2.n.b.187.7	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.7	✓	84	1.1	even	1	trivial
252.2.n.b.31.35	yes	84	4.3	odd	2	inner
252.2.n.b.187.7	yes	84	252.187	even	6	inner
252.2.n.b.187.35	yes	84	63.61	odd	6	inner
252.2.bj.b.103.21	yes	84	28.19	even	6
252.2.bj.b.103.22	yes	84	7.5	odd	6
252.2.bj.b.115.21	yes	84	36.7	odd	6
252.2.bj.b.115.22	yes	84	9.7	even	3
756.2.n.b.19.8		84	63.47	even	6
756.2.n.b.19.36		84	252.47	odd	6
756.2.n.b.199.8		84	12.11	even	2
756.2.n.b.199.36		84	3.2	odd	2
756.2.bj.b.451.21		84	9.2	odd	6
756.2.bj.b.451.22		84	36.11	even	6
756.2.bj.b.523.21		84	21.5	even	6
756.2.bj.b.523.22		84	84.47	odd	6

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.26565 - 0.630973i) q^{2} +(1.11108 - 1.32872i) q^{3} +(1.20375 + 1.59718i) q^{4} +2.00240i q^{5} +(-2.24463 + 0.980638i) q^{6} +(2.64523 + 0.0525529i) q^{7} +(-0.515742 - 2.78101i) q^{8} +(-0.531008 - 2.95263i) q^{9} +O(q^{10})\)	\(q+(-1.26565 - 0.630973i) q^{2} +(1.11108 - 1.32872i) q^{3} +(1.20375 + 1.59718i) q^{4} +2.00240i q^{5} +(-2.24463 + 0.980638i) q^{6} +(2.64523 + 0.0525529i) q^{7} +(-0.515742 - 2.78101i) q^{8} +(-0.531008 - 2.95263i) q^{9} +(1.26346 - 2.53433i) q^{10} +5.03174i q^{11} +(3.45967 + 0.175153i) q^{12} +(3.29495 + 1.90234i) q^{13} +(-3.31478 - 1.73558i) q^{14} +(2.66063 + 2.22482i) q^{15} +(-1.10199 + 3.84521i) q^{16} +(1.61527 + 0.932579i) q^{17} +(-1.19096 + 4.07205i) q^{18} +(-3.12744 - 5.41689i) q^{19} +(-3.19819 + 2.41038i) q^{20} +(3.00889 - 3.45639i) q^{21} +(3.17489 - 6.36842i) q^{22} -6.27581i q^{23} +(-4.26822 - 2.40464i) q^{24} +0.990411 q^{25} +(-2.96993 - 4.48672i) q^{26} +(-4.51322 - 2.57504i) q^{27} +(3.10025 + 4.28818i) q^{28} +(-1.23970 - 2.14722i) q^{29} +(-1.96363 - 4.49463i) q^{30} +(0.557613 + 0.965814i) q^{31} +(3.82096 - 4.17136i) q^{32} +(6.68578 + 5.59066i) q^{33} +(-1.45594 - 2.19952i) q^{34} +(-0.105232 + 5.29680i) q^{35} +(4.07670 - 4.40233i) q^{36} +(0.559132 + 0.968445i) q^{37} +(0.540339 + 8.82923i) q^{38} +(6.18863 - 2.26442i) q^{39} +(5.56868 - 1.03272i) q^{40} +(-6.39139 - 3.69007i) q^{41} +(-5.98909 + 2.47605i) q^{42} +(-6.79358 + 3.92228i) q^{43} +(-8.03661 + 6.05693i) q^{44} +(5.91234 - 1.06329i) q^{45} +(-3.95987 + 7.94299i) q^{46} +(-1.95019 + 3.37783i) q^{47} +(3.88481 + 5.73657i) q^{48} +(6.99448 + 0.278029i) q^{49} +(-1.25351 - 0.624923i) q^{50} +(3.03384 - 1.11008i) q^{51} +(0.927894 + 7.55257i) q^{52} +(2.80349 - 4.85579i) q^{53} +(4.08738 + 6.10683i) q^{54} -10.0755 q^{55} +(-1.21810 - 7.38351i) q^{56} +(-10.6724 - 1.86309i) q^{57} +(0.214186 + 3.49984i) q^{58} +(4.35302 + 7.53966i) q^{59} +(-0.350726 + 6.92763i) q^{60} +(-1.83423 - 1.05899i) q^{61} +(-0.0963407 - 1.57422i) q^{62} +(-1.24947 - 7.83829i) q^{63} +(-7.46802 + 2.86856i) q^{64} +(-3.80924 + 6.59779i) q^{65} +(-4.93431 - 11.2944i) q^{66} +(-10.4118 + 6.01127i) q^{67} +(0.454879 + 3.70248i) q^{68} +(-8.33881 - 6.97292i) q^{69} +(3.47532 - 6.63750i) q^{70} -3.84867i q^{71} +(-7.93743 + 2.99953i) q^{72} +(-0.499355 - 0.288303i) q^{73} +(-0.0966032 - 1.57851i) q^{74} +(1.10042 - 1.31598i) q^{75} +(4.88713 - 11.5157i) q^{76} +(-0.264432 + 13.3101i) q^{77} +(-9.26144 - 1.03889i) q^{78} +(-3.42902 - 1.97974i) q^{79} +(-7.69962 - 2.20663i) q^{80} +(-8.43606 + 3.13574i) q^{81} +(5.76093 + 8.70314i) q^{82} +(5.34720 + 9.26162i) q^{83} +(9.14242 + 0.645136i) q^{84} +(-1.86739 + 3.23442i) q^{85} +(11.0732 - 0.677665i) q^{86} +(-4.23045 - 0.738514i) q^{87} +(13.9933 - 2.59508i) q^{88} +(-5.13938 + 2.96722i) q^{89} +(-8.15386 - 2.38477i) q^{90} +(8.61592 + 5.20528i) q^{91} +(10.0236 - 7.55448i) q^{92} +(1.90285 + 0.332183i) q^{93} +(4.59958 - 3.04463i) q^{94} +(10.8468 - 6.26238i) q^{95} +(-1.29719 - 9.71171i) q^{96} +(-14.0382 + 8.10496i) q^{97} +(-8.67714 - 4.76522i) q^{98} +(14.8569 - 2.67189i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

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