LMFDB - Embedded newform 280.2.bj.e.131.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(131,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))

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

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

chi := DirichletCharacter("280.131");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bj (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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$12$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			131.3
Character	$\chi$	$=$	280.131
Dual form			280.2.bj.e.171.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.31025 - 0.532213i) q^{2} +(-0.502680 + 0.290223i) q^{3} +(1.43350 + 1.39466i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.813096 - 0.112730i) q^{6} +(2.63362 - 0.253028i) q^{7} +(-1.13598 - 2.59028i) q^{8} +(-1.33154 + 2.30630i) q^{9} +O(q^{10})$	\(q+(-1.31025 - 0.532213i) q^{2} +(-0.502680 + 0.290223i) q^{3} +(1.43350 + 1.39466i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.813096 - 0.112730i) q^{6} +(2.63362 - 0.253028i) q^{7} +(-1.13598 - 2.59028i) q^{8} +(-1.33154 + 2.30630i) q^{9} +(-1.11603 + 0.868601i) q^{10} +(0.428852 + 0.742794i) q^{11} +(-1.12535 - 0.285036i) q^{12} -2.26075 q^{13} +(-3.58537 - 1.07012i) q^{14} +0.580445i q^{15} +(0.109831 + 3.99849i) q^{16} +(6.65461 - 3.84204i) q^{17} +(2.97209 - 2.31316i) q^{18} +(5.17016 + 2.98499i) q^{19} +(1.92456 - 0.544114i) q^{20} +(-1.25044 + 0.891530i) q^{21} +(-0.166578 - 1.20148i) q^{22} +(3.17064 + 1.83057i) q^{23} +(1.32279 + 0.972397i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(2.96214 + 1.20320i) q^{26} -3.28711i q^{27} +(4.12818 + 3.31030i) q^{28} -7.76090i q^{29} +(0.308921 - 0.760527i) q^{30} +(4.53853 + 7.86097i) q^{31} +(1.98415 - 5.29747i) q^{32} +(-0.431151 - 0.248925i) q^{33} +(-10.7640 + 1.49235i) q^{34} +(1.09768 - 2.40730i) q^{35} +(-5.12527 + 1.44902i) q^{36} +(-3.77689 - 2.18059i) q^{37} +(-5.18553 - 6.66271i) q^{38} +(1.13643 - 0.656120i) q^{39} +(-2.81124 - 0.311354i) q^{40} +0.780359i q^{41} +(2.11287 - 0.502626i) q^{42} +7.36373 q^{43} +(-0.421188 + 1.66290i) q^{44} +(1.33154 + 2.30630i) q^{45} +(-3.18007 - 4.08596i) q^{46} +(0.206809 - 0.358203i) q^{47} +(-1.21566 - 1.97809i) q^{48} +(6.87195 - 1.33276i) q^{49} +(0.194213 + 1.40081i) q^{50} +(-2.23010 + 3.86264i) q^{51} +(-3.24077 - 3.15298i) q^{52} +(-11.0314 + 6.36896i) q^{53} +(-1.74944 + 4.30693i) q^{54} +0.857704 q^{55} +(-3.64716 - 6.53439i) q^{56} -3.46525 q^{57} +(-4.13046 + 10.1687i) q^{58} +(-7.74172 + 4.46968i) q^{59} +(-0.809526 + 0.832067i) q^{60} +(-2.49343 + 4.31875i) q^{61} +(-1.76289 - 12.7153i) q^{62} +(-2.92322 + 6.41084i) q^{63} +(-5.41911 + 5.88501i) q^{64} +(-1.13037 + 1.95786i) q^{65} +(0.432434 + 0.555618i) q^{66} +(-4.51807 - 7.82553i) q^{67} +(14.8977 + 3.77338i) q^{68} -2.12509 q^{69} +(-2.71943 + 2.56996i) q^{70} -8.69420i q^{71} +(7.48656 + 0.829161i) q^{72} +(-9.52015 + 5.49646i) q^{73} +(3.78812 + 4.86722i) q^{74} +(0.502680 + 0.290223i) q^{75} +(3.24835 + 11.4896i) q^{76} +(1.31738 + 1.84773i) q^{77} +(-1.83820 + 0.254855i) q^{78} +(-4.53017 - 2.61550i) q^{79} +(3.51771 + 1.90413i) q^{80} +(-3.04063 - 5.26653i) q^{81} +(0.415318 - 1.02246i) q^{82} -4.58743i q^{83} +(-3.03588 - 0.465932i) q^{84} -7.68409i q^{85} +(-9.64831 - 3.91908i) q^{86} +(2.25239 + 3.90126i) q^{87} +(1.43688 - 1.95465i) q^{88} +(5.85397 + 3.37979i) q^{89} +(-0.517207 - 3.73049i) q^{90} +(-5.95396 + 0.572033i) q^{91} +(1.99208 + 7.04609i) q^{92} +(-4.56286 - 2.63437i) q^{93} +(-0.461611 + 0.359269i) q^{94} +(5.17016 - 2.98499i) q^{95} +(0.540054 + 3.23878i) q^{96} -4.09482i q^{97} +(-9.71328 - 1.91110i) q^{98} -2.28414 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 8 q^{12} - 20 q^{13} - 15 q^{14} - 3 q^{16} + 6 q^{17} - 27 q^{18} + 18 q^{19} + 2 q^{20} + 26 q^{21} - 16 q^{22} - 18 q^{23} + 6 q^{24} - 12 q^{25} - 29 q^{26} + 3 q^{28} + 10 q^{30} + 6 q^{31} - 33 q^{32} + 12 q^{33} + 20 q^{34} - 8 q^{35} - 22 q^{36} + 9 q^{38} + 18 q^{39} - 3 q^{40} - 12 q^{42} + 32 q^{43} - 25 q^{44} - 12 q^{45} + 53 q^{46} + 14 q^{48} + 8 q^{49} - 22 q^{51} - 31 q^{52} - 30 q^{53} + 10 q^{54} + 16 q^{55} + 16 q^{56} - 44 q^{57} + 30 q^{58} - 18 q^{59} + 10 q^{60} - 22 q^{61} - 8 q^{62} + 12 q^{63} + 58 q^{64} - 10 q^{65} - 8 q^{66} - 8 q^{67} - 6 q^{68} + 12 q^{69} + 3 q^{70} - 23 q^{72} + 30 q^{73} - 43 q^{74} - 12 q^{75} - 8 q^{76} + 32 q^{77} - 8 q^{78} - 6 q^{79} + 3 q^{80} - 4 q^{81} - 27 q^{82} - 16 q^{84} - 36 q^{86} - 14 q^{87} + 49 q^{88} - 60 q^{89} - 24 q^{90} + 18 q^{91} - 38 q^{92} + 18 q^{93} + 11 q^{94} + 18 q^{95} + 2 q^{96} - 19 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 8 * q^12 - 20 * q^13 - 15 * q^14 - 3 * q^16 + 6 * q^17 - 27 * q^18 + 18 * q^19 + 2 * q^20 + 26 * q^21 - 16 * q^22 - 18 * q^23 + 6 * q^24 - 12 * q^25 - 29 * q^26 + 3 * q^28 + 10 * q^30 + 6 * q^31 - 33 * q^32 + 12 * q^33 + 20 * q^34 - 8 * q^35 - 22 * q^36 + 9 * q^38 + 18 * q^39 - 3 * q^40 - 12 * q^42 + 32 * q^43 - 25 * q^44 - 12 * q^45 + 53 * q^46 + 14 * q^48 + 8 * q^49 - 22 * q^51 - 31 * q^52 - 30 * q^53 + 10 * q^54 + 16 * q^55 + 16 * q^56 - 44 * q^57 + 30 * q^58 - 18 * q^59 + 10 * q^60 - 22 * q^61 - 8 * q^62 + 12 * q^63 + 58 * q^64 - 10 * q^65 - 8 * q^66 - 8 * q^67 - 6 * q^68 + 12 * q^69 + 3 * q^70 - 23 * q^72 + 30 * q^73 - 43 * q^74 - 12 * q^75 - 8 * q^76 + 32 * q^77 - 8 * q^78 - 6 * q^79 + 3 * q^80 - 4 * q^81 - 27 * q^82 - 16 * q^84 - 36 * q^86 - 14 * q^87 + 49 * q^88 - 60 * q^89 - 24 * q^90 + 18 * q^91 - 38 * q^92 + 18 * q^93 + 11 * q^94 + 18 * q^95 + 2 * q^96 - 19 * q^98 - 56 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$1$	$-1$	$-1$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−1.31025	−	0.532213i	−0.926485	−	0.376332i
$2$	−1.31025	−	0.532213i	−0.926485	−	0.376332i
$3$	−0.502680	+	0.290223i	−0.290223	+	0.167560i	−0.638042	−	0.770001i	$-0.720256\pi$
$3$	−0.502680	+	0.290223i	−0.290223	+	0.167560i	0.347820	+	0.937561i	$0.386922\pi$
$4$	1.43350	+	1.39466i	0.716749	+	0.697331i
$5$	0.500000	−	0.866025i	0.223607	−	0.387298i
$5$	0.500000	−	0.866025i	0.223607	−	0.387298i
$6$	0.813096	−	0.112730i	0.331945	−	0.0460220i
$7$	2.63362	−	0.253028i	0.995416	−	0.0956358i
$7$	2.63362	−	0.253028i	0.995416	−	0.0956358i
$8$	−1.13598	−	2.59028i	−0.401629	−	0.915802i
$9$	−1.33154	+	2.30630i	−0.443847	+	0.768766i
$10$	−1.11603	+	0.868601i	−0.352921	+	0.274676i
$11$	0.428852	+	0.742794i	0.129304	+	0.223961i	0.923407	−	0.383822i	$-0.125392\pi$
$11$	0.428852	+	0.742794i	0.129304	+	0.223961i	−0.794103	+	0.607783i	$0.792059\pi$
$12$	−1.12535	−	0.285036i	−0.324862	−	0.0822829i
$13$	−2.26075			−0.627018			−0.313509	−	0.949585i	$-0.601505\pi$
$13$	−2.26075			−0.627018			−0.313509	+	0.949585i	$0.601505\pi$
$14$	−3.58537	−	1.07012i	−0.958229	−	0.286002i
$15$			0.580445i			0.149870i
$16$	0.109831	+	3.99849i	0.0274578	+	0.999623i
$17$	6.65461	−	3.84204i	1.61398	−	0.931832i	0.625546	−	0.780187i	$-0.284876\pi$
$17$	6.65461	−	3.84204i	1.61398	−	0.931832i	0.988435	−	0.151645i	$-0.0484571\pi$
$18$	2.97209	−	2.31316i	0.700529	−	0.545216i
$19$	5.17016	+	2.98499i	1.18612	+	0.684804i	0.957421	−	0.288694i	$-0.0932211\pi$
$19$	5.17016	+	2.98499i	1.18612	+	0.684804i	0.228694	+	0.973498i	$0.426554\pi$
$20$	1.92456	−	0.544114i	0.430345	−	0.121668i
$21$	−1.25044	+	0.891530i	−0.272868	+	0.194548i
$22$	−0.166578	−	1.20148i	−0.0355145	−	0.256157i
$23$	3.17064	+	1.83057i	0.661124	+	0.381700i	0.792705	−	0.609605i	$-0.208672\pi$
$23$	3.17064	+	1.83057i	0.661124	+	0.381700i	−0.131581	+	0.991305i	$0.542005\pi$
$24$	1.32279	+	0.972397i	0.270014	+	0.198490i
$25$	−0.500000	−	0.866025i	−0.100000	−	0.173205i
$26$	2.96214	+	1.20320i	0.580923	+	0.235967i
$27$		−	3.28711i		−	0.632605i
$28$	4.12818	+	3.31030i	0.780153	+	0.625588i
$29$		−	7.76090i		−	1.44116i	−0.693370	−	0.720582i	$-0.743875\pi$
$29$		−	7.76090i		−	1.44116i	0.693370	−	0.720582i	$-0.256125\pi$
$30$	0.308921	−	0.760527i	0.0564010	−	0.138853i
$31$	4.53853	+	7.86097i	0.815144	+	1.41187i	0.909224	+	0.416307i	$0.136676\pi$
$31$	4.53853	+	7.86097i	0.815144	+	1.41187i	−0.0940797	+	0.995565i	$0.529991\pi$
$32$	1.98415	−	5.29747i	0.350751	−	0.936469i
$33$	−0.431151	−	0.248925i	−0.0750538	−	0.0433323i
$34$	−10.7640	+	1.49235i	−1.84601	+	0.255936i
$35$	1.09768	−	2.40730i	0.185542	−	0.406908i
$36$	−5.12527	+	1.44902i	−0.854212	+	0.241503i
$37$	−3.77689	−	2.18059i	−0.620916	−	0.358486i	0.156309	−	0.987708i	$-0.450040\pi$
$37$	−3.77689	−	2.18059i	−0.620916	−	0.358486i	−0.777226	+	0.629222i	$0.783374\pi$
$38$	−5.18553	−	6.66271i	−0.841205	−	1.08083i
$39$	1.13643	−	0.656120i	0.181975	−	0.105063i
$40$	−2.81124	−	0.311354i	−0.444496	−	0.0492294i
$41$			0.780359i			0.121872i	0.998142	+	0.0609358i	$0.0194085\pi$
$41$			0.780359i			0.121872i	−0.998142	+	0.0609358i	$0.980591\pi$
$42$	2.11287	−	0.502626i	0.326022	−	0.0775568i
$43$	7.36373			1.12296			0.561479	−	0.827491i	$-0.310232\pi$
$43$	7.36373			1.12296			0.561479	+	0.827491i	$0.310232\pi$
$44$	−0.421188	+	1.66290i	−0.0634965	+	0.250691i
$45$	1.33154	+	2.30630i	0.198494	+	0.343803i
$46$	−3.18007	−	4.08596i	−0.468876	−	0.602441i
$47$	0.206809	−	0.358203i	0.0301662	−	0.0522493i	−0.850548	−	0.525897i	$-0.823730\pi$
$47$	0.206809	−	0.358203i	0.0301662	−	0.0522493i	0.880714	+	0.473648i	$0.157063\pi$
$48$	−1.21566	−	1.97809i	−0.175466	−	0.285512i
$49$	6.87195	−	1.33276i	0.981708	−	0.190395i
$50$	0.194213	+	1.40081i	0.0274659	+	0.198105i
$51$	−2.23010	+	3.86264i	−0.312276	+	0.540878i
$52$	−3.24077	−	3.15298i	−0.449414	−	0.437239i
$53$	−11.0314	+	6.36896i	−1.51527	+	0.874844i	−0.515435	+	0.856929i	$0.672369\pi$
$53$	−11.0314	+	6.36896i	−1.51527	+	0.874844i	−0.999840	+	0.0179150i	$0.994297\pi$
$54$	−1.74944	+	4.30693i	−0.238069	+	0.586099i
$55$	0.857704			0.115653
$56$	−3.64716	−	6.53439i	−0.487372	−	0.873195i
$57$	−3.46525			−0.458984
$58$	−4.13046	+	10.1687i	−0.542356	+	1.33522i
$59$	−7.74172	+	4.46968i	−1.00789	+	0.581903i	−0.910572	−	0.413351i	$-0.864358\pi$
$59$	−7.74172	+	4.46968i	−1.00789	+	0.581903i	−0.0973139	+	0.995254i	$0.531025\pi$
$60$	−0.809526	+	0.832067i	−0.104509	+	0.107419i
$61$	−2.49343	+	4.31875i	−0.319251	+	0.552959i	−0.980332	−	0.197355i	$-0.936765\pi$
$61$	−2.49343	+	4.31875i	−0.319251	+	0.552959i	0.661081	+	0.750315i	$0.270098\pi$
$62$	−1.76289	−	12.7153i	−0.223887	−	1.61484i
$63$	−2.92322	+	6.41084i	−0.368291	+	0.807690i
$64$	−5.41911	+	5.88501i	−0.677388	+	0.735626i
$65$	−1.13037	+	1.95786i	−0.140206	+	0.242843i
$66$	0.432434	+	0.555618i	0.0532289	+	0.0683919i
$67$	−4.51807	−	7.82553i	−0.551970	−	0.956041i	−0.998132	−	0.0610886i	$-0.980543\pi$
$67$	−4.51807	−	7.82553i	−0.551970	−	0.956041i	0.446162	−	0.894952i	$-0.352791\pi$
$68$	14.8977	+	3.77338i	1.80662	+	0.457590i
$69$	−2.12509			−0.255831
$70$	−2.71943	+	2.56996i	−0.325035	+	0.307169i
$71$		−	8.69420i		−	1.03181i	−0.856645	−	0.515906i	$-0.827455\pi$
$71$		−	8.69420i		−	1.03181i	0.856645	−	0.515906i	$-0.172545\pi$
$72$	7.48656	+	0.829161i	0.882300	+	0.0977176i
$73$	−9.52015	+	5.49646i	−1.11425	+	0.643312i	−0.939927	−	0.341376i	$-0.889107\pi$
$73$	−9.52015	+	5.49646i	−1.11425	+	0.643312i	−0.174323	+	0.984689i	$0.555774\pi$
$74$	3.78812	+	4.86722i	0.440360	+	0.565802i
$75$	0.502680	+	0.290223i	0.0580445	+	0.0335120i
$76$	3.24835	+	11.4896i	0.372612	+	1.31795i
$77$	1.31738	+	1.84773i	0.150130	+	0.210568i
$78$	−1.83820	+	0.254855i	−0.208136	+	0.0288566i
$79$	−4.53017	−	2.61550i	−0.509684	−	0.294266i	0.223020	−	0.974814i	$-0.428409\pi$
$79$	−4.53017	−	2.61550i	−0.509684	−	0.294266i	−0.732704	+	0.680548i	$0.761742\pi$
$80$	3.51771	+	1.90413i	0.393292	+	0.212888i
$81$	−3.04063	−	5.26653i	−0.337848	−	0.585170i
$82$	0.415318	−	1.02246i	0.0458642	−	0.112912i
$83$		−	4.58743i		−	0.503536i	−0.967788	−	0.251768i	$-0.918988\pi$
$83$		−	4.58743i		−	0.503536i	0.967788	−	0.251768i	$-0.0810120\pi$
$84$	−3.03588	−	0.465932i	−0.331242	−	0.0508373i
$85$		−	7.68409i		−	0.833456i
$86$	−9.64831	−	3.91908i	−1.04040	−	0.422605i
$87$	2.25239	+	3.90126i	0.241482	+	0.418258i
$88$	1.43688	−	1.95465i	0.153172	−	0.208366i
$89$	5.85397	+	3.37979i	0.620519	+	0.358257i	0.777071	−	0.629413i	$-0.216704\pi$
$89$	5.85397	+	3.37979i	0.620519	+	0.358257i	−0.156552	+	0.987670i	$0.550038\pi$
$90$	−0.517207	−	3.73049i	−0.0545184	−	0.393228i
$91$	−5.95396	+	0.572033i	−0.624144	+	0.0599654i
$92$	1.99208	+	7.04609i	0.207688	+	0.734606i
$93$	−4.56286	−	2.63437i	−0.473147	−	0.273171i
$94$	−0.461611	+	0.359269i	−0.0476116	+	0.0370557i
$95$	5.17016	−	2.98499i	0.530447	−	0.306254i
$96$	0.540054	+	3.23878i	0.0551191	+	0.330556i
$97$		−	4.09482i		−	0.415766i	−0.978154	−	0.207883i	$-0.933343\pi$
$97$		−	4.09482i		−	0.415766i	0.978154	−	0.207883i	$-0.0666574\pi$
$98$	−9.71328	−	1.91110i	−0.981189	−	0.193050i
$99$	−2.28414			−0.229565
$100$	0.491065	−	1.93878i	0.0491065	−	0.193878i
$101$	−2.79146	−	4.83495i	−0.277761	−	0.481096i	0.693067	−	0.720873i	$-0.256259\pi$
$101$	−2.79146	−	4.83495i	−0.277761	−	0.481096i	−0.970828	+	0.239777i	$0.922926\pi$
$102$	4.97773	−	3.87413i	0.492869	−	0.383596i
$103$	−4.73334	+	8.19839i	−0.466390	+	0.807811i	−0.999263	−	0.0383841i	$-0.987779\pi$
$103$	−4.73334	+	8.19839i	−0.466390	+	0.807811i	0.532873	+	0.846195i	$0.321112\pi$
$104$	2.56816	+	5.85597i	0.251829	+	0.574225i
$105$	0.146869	+	1.52868i	0.0143330	+	0.149183i
$106$	17.8435	−	2.47388i	1.73311	−	0.240284i
$107$	−7.98617	+	13.8325i	−0.772053	+	1.33723i	0.164384	+	0.986396i	$0.447436\pi$
$107$	−7.98617	+	13.8325i	−0.772053	+	1.33723i	−0.936436	+	0.350838i	$0.885897\pi$
$108$	4.58441	−	4.71207i	0.441135	−	0.453419i
$109$	7.46593	−	4.31046i	0.715107	−	0.412867i	−0.0978424	−	0.995202i	$-0.531194\pi$
$109$	7.46593	−	4.31046i	0.715107	−	0.412867i	0.812949	+	0.582335i	$0.197861\pi$
$110$	−1.12381	−	0.456482i	−0.107151	−	0.0435238i
$111$	2.53142			0.240272
$112$	1.30099	+	10.5027i	0.122932	+	0.992415i
$113$	−9.49155			−0.892890			−0.446445	−	0.894811i	$-0.647310\pi$
$113$	−9.49155			−0.892890			−0.446445	+	0.894811i	$0.647310\pi$
$114$	4.54034	+	1.84425i	0.425241	+	0.172730i
$115$	3.17064	−	1.83057i	0.295664	−	0.170701i
$116$	10.8238	−	11.1252i	1.00497	−	1.03295i
$117$	3.01028	−	5.21395i	0.278300	−	0.482030i
$118$	12.5224	−	1.73615i	1.15278	−	0.159825i
$119$	16.5536	−	11.8023i	1.51747	−	1.08192i
$120$	1.50352	−	0.659374i	0.137252	−	0.0601923i
$121$	5.13217	−	8.88918i	0.466561	−	0.808107i
$122$	5.56551	−	4.33159i	0.503877	−	0.392164i
$123$	−0.226478	−	0.392271i	−0.0204208	−	0.0353699i
$124$	−4.45742	+	17.5984i	−0.400289	+	1.58038i
$125$	−1.00000			−0.0894427
$126$	7.24208	−	6.84401i	0.645176	−	0.609713i
$127$		−	1.82621i		−	0.162050i	−0.996712	−	0.0810251i	$-0.974181\pi$
$127$		−	1.82621i		−	0.162050i	0.996712	−	0.0810251i	$-0.0258194\pi$
$128$	10.2324	−	4.82669i	0.904429	−	0.426624i
$129$	−3.70160	+	2.13712i	−0.325908	+	0.188163i
$130$	2.52307	−	1.96369i	0.221288	−	0.172227i
$131$	0.590932	+	0.341175i	0.0516299	+	0.0298086i	0.525593	−	0.850736i	$-0.323844\pi$
$131$	0.590932	+	0.341175i	0.0516299	+	0.0298086i	−0.473963	+	0.880545i	$0.657177\pi$
$132$	−0.270887	−	0.958144i	−0.0235777	−	0.0833958i
$133$	14.3715	+	6.55315i	1.24617	+	0.568230i
$134$	1.75494	+	12.6580i	0.151604	+	1.09348i
$135$	−2.84672	−	1.64356i	−0.245007	−	0.141455i
$136$	−17.5115	−	12.8728i	−1.50160	−	1.10384i
$137$	−4.39537	−	7.61300i	−0.375521	−	0.650422i	0.614883	−	0.788618i	$-0.289203\pi$
$137$	−4.39537	−	7.61300i	−0.375521	−	0.650422i	−0.990405	+	0.138196i	$0.955870\pi$
$138$	2.78440	+	1.13100i	0.237024	+	0.0962773i
$139$		−	8.43738i		−	0.715649i	−0.933789	−	0.357825i	$-0.883519\pi$
$139$		−	8.43738i		−	0.715649i	0.933789	−	0.357825i	$-0.116481\pi$
$140$	4.93090	−	1.91996i	0.416737	−	0.162266i
$141$			0.240082i			0.0202186i
$142$	−4.62717	+	11.3916i	−0.388304	+	0.955958i
$143$	−0.969526	−	1.67927i	−0.0810758	−	0.140427i
$144$	−9.36796	−	5.07085i	−0.780663	−	0.422571i
$145$	−6.72114	−	3.88045i	−0.558160	−	0.322254i
$146$	15.3990	−	2.13497i	1.27443	−	0.176692i
$147$	−3.06760	+	2.66435i	−0.253011	+	0.219752i
$148$	−2.37297	−	8.39335i	−0.195057	−	0.689929i
$149$	−0.613174	−	0.354016i	−0.0502332	−	0.0290022i	0.474673	−	0.880162i	$-0.342566\pi$
$149$	−0.613174	−	0.354016i	−0.0502332	−	0.0290022i	−0.524906	+	0.851160i	$0.675900\pi$
$150$	−0.504175	−	0.647797i	−0.0411658	−	0.0528924i
$151$	−16.6390	+	9.60653i	−1.35406	+	0.781768i	−0.988816	−	0.149142i	$-0.952349\pi$
$151$	−16.6390	+	9.60653i	−1.35406	+	0.781768i	−0.365247	+	0.930911i	$0.619015\pi$
$152$	1.85878	−	16.7830i	0.150767	−	1.36128i
$153$			20.4634i			1.65436i
$154$	−0.742713	−	3.12211i	−0.0598495	−	0.251587i
$155$	9.07706			0.729087
$156$	2.54414	+	0.644394i	0.203694	+	0.0515928i
$157$	6.97017	+	12.0727i	0.556280	+	0.963505i	0.997803	+	0.0662551i	$0.0211051\pi$
$157$	6.97017	+	12.0727i	0.556280	+	0.963505i	−0.441523	+	0.897250i	$0.645562\pi$
$158$	4.54365	+	5.83797i	0.361473	+	0.464444i
$159$	3.69683	−	6.40310i	0.293178	−	0.507799i
$160$	−3.59567	−	4.36705i	−0.284263	−	0.345246i
$161$	8.81346	+	4.01877i	0.694598	+	0.316723i
$162$	1.18106	+	8.51872i	0.0927930	+	0.669294i
$163$	3.37383	−	5.84364i	0.264259	−	0.457710i	−0.703110	−	0.711081i	$-0.748206\pi$
$163$	3.37383	−	5.84364i	0.264259	−	0.457710i	0.967369	+	0.253371i	$0.0815394\pi$
$164$	−1.08834	+	1.11864i	−0.0849849	+	0.0873514i
$165$	−0.431151	+	0.248925i	−0.0335651	+	0.0193788i
$166$	−2.44149	+	6.01067i	−0.189497	+	0.466518i
$167$	0.766416			0.0593071			0.0296535	−	0.999560i	$-0.490560\pi$
$167$	0.766416			0.0593071			0.0296535	+	0.999560i	$0.490560\pi$
$168$	3.72978	+	2.22622i	0.287759	+	0.171757i
$169$	−7.88903			−0.606848
$170$	−4.08957	+	10.0681i	−0.313656	+	0.772185i
$171$	−13.7686	+	7.94928i	−1.05291	+	0.607897i
$172$	10.5559	+	10.2699i	0.804879	+	0.783074i
$173$	3.48034	−	6.02813i	0.264606	−	0.458311i	−0.702855	−	0.711334i	$-0.748092\pi$
$173$	3.48034	−	6.02813i	0.264606	−	0.458311i	0.967460	+	0.253023i	$0.0814249\pi$
$174$	−0.874889	−	6.31036i	−0.0663252	−	0.478387i
$175$	−1.53594	−	2.15427i	−0.116106	−	0.162848i
$176$	−2.92295	+	1.79634i	−0.220326	+	0.135405i
$177$	2.59441	−	4.49365i	0.195008	−	0.337763i
$178$	−5.87138	−	7.54392i	−0.440078	−	0.565441i
$179$	8.62594	+	14.9406i	0.644733	+	1.11671i	0.984363	+	0.176151i	$0.0563647\pi$
$179$	8.62594	+	14.9406i	0.644733	+	1.11671i	−0.339630	+	0.940559i	$0.610302\pi$
$180$	−1.30775	+	5.16312i	−0.0974736	+	0.384837i
$181$	8.33378			0.619445			0.309723	−	0.950827i	$-0.399764\pi$
$181$	8.33378			0.619445			0.309723	+	0.950827i	$0.399764\pi$
$182$	8.10560	+	2.41927i	0.600827	+	0.179328i
$183$		−	2.89460i		−	0.213975i
$184$	1.13991	−	10.2923i	0.0840353	−	0.758761i
$185$	−3.77689	+	2.18059i	−0.277682	+	0.160320i
$186$	4.57643	+	5.88009i	0.335560	+	0.431149i
$187$	5.70769	+	3.29534i	0.417388	+	0.240979i
$188$	0.796033	−	0.225055i	0.0580566	−	0.0164138i
$189$	−0.831733	−	8.65701i	−0.0604996	−	0.629705i
$190$	−8.36284	+	1.15945i	−0.606704	+	0.0841154i
$191$	−11.6892	−	6.74878i	−0.845803	−	0.488325i	0.0134293	−	0.999910i	$-0.495725\pi$
$191$	−11.6892	−	6.74878i	−0.845803	−	0.488325i	−0.859233	+	0.511585i	$0.829059\pi$
$192$	1.01612	−	4.53103i	0.0733319	−	0.326999i
$193$	−9.21020	−	15.9525i	−0.662965	−	1.14829i	−0.979833	−	0.199819i	$-0.935965\pi$
$193$	−9.21020	−	15.9525i	−0.662965	−	1.14829i	0.316868	−	0.948470i	$-0.397369\pi$
$194$	−2.17932	+	5.36523i	−0.156466	+	0.385201i
$195$		−	1.31224i		−	0.0939714i
$196$	11.7097	+	7.67354i	0.836406	+	0.548110i
$197$			5.56007i			0.396139i	0.980188	+	0.198069i	$0.0634671\pi$
$197$			5.56007i			0.396139i	−0.980188	+	0.198069i	$0.936533\pi$
$198$	2.99279	+	1.21565i	0.212688	+	0.0863924i
$199$	0.859626	+	1.48892i	0.0609373	+	0.105546i	0.894885	−	0.446298i	$-0.147258\pi$
$199$	0.859626	+	1.48892i	0.0609373	+	0.105546i	−0.833947	+	0.551844i	$0.813924\pi$
$200$	−1.67526	+	2.27893i	−0.118459	+	0.161144i
$201$	4.54229	+	2.62249i	0.320389	+	0.184977i
$202$	1.08428	+	7.82064i	0.0762896	+	0.550258i
$203$	−1.96373	−	20.4393i	−0.137827	−	1.43456i
$204$	−8.58392	+	2.42685i	−0.600995	+	0.169914i
$205$	0.675811	+	0.390180i	0.0472007	+	0.0272513i
$206$	10.5651	−	8.22277i	0.736108	−	0.572907i
$207$	−8.44368	+	4.87496i	−0.586876	+	0.338833i
$208$	−0.248300	−	9.03957i	−0.0172165	−	0.626782i
$209$			5.12048i			0.354191i
$210$	0.621146	−	2.08111i	0.0428632	−	0.143610i
$211$	−4.20177			−0.289262			−0.144631	−	0.989486i	$-0.546200\pi$
$211$	−4.20177			−0.289262			−0.144631	+	0.989486i	$0.546200\pi$
$212$	−24.6960	−	6.25514i	−1.69613	−	0.429605i
$213$	2.52325	+	4.37040i	0.172891	+	0.299455i
$214$	17.8257	−	13.8736i	1.21854	−	0.948380i
$215$	3.68187	−	6.37718i	0.251101	−	0.434920i
$216$	−8.51454	+	3.73409i	−0.579341	+	0.254072i
$217$	13.9418	+	19.5545i	0.946434	+	1.32744i
$218$	−12.0763	+	1.67430i	−0.817910	+	0.113398i
$219$	3.19040	−	5.52593i	0.215587	−	0.373408i
$220$	1.22952	+	1.19621i	0.0828940	+	0.0806484i
$221$	−15.0444	+	8.68588i	−1.01200	+	0.584276i
$222$	−3.31679	−	1.34726i	−0.222608	−	0.0904220i
$223$	1.62540			0.108845			0.0544224	−	0.998518i	$-0.482668\pi$
$223$	1.62540			0.108845			0.0544224	+	0.998518i	$0.482668\pi$
$224$	3.88508	−	14.4536i	0.259583	−	0.965721i
$225$	2.66308			0.177539
$226$	12.4363	+	5.05153i	0.827249	+	0.336023i
$227$	−1.98615	+	1.14670i	−0.131825	+	0.0761093i	−0.564462	−	0.825459i	$-0.690916\pi$
$227$	−1.98615	+	1.14670i	−0.131825	+	0.0761093i	0.432637	+	0.901568i	$0.357583\pi$
$228$	−4.96743	−	4.83286i	−0.328976	−	0.320064i
$229$	−0.738857	+	1.27974i	−0.0488251	+	0.0845675i	−0.889405	−	0.457120i	$-0.848881\pi$
$229$	−0.738857	+	1.27974i	−0.0488251	+	0.0845675i	0.840580	+	0.541687i	$0.182214\pi$
$230$	−5.12858	+	0.711042i	−0.338168	+	0.0468847i
$231$	−1.19848	−	0.546482i	−0.0788539	−	0.0359559i
$232$	−20.1029	+	8.81622i	−1.31982	+	0.578813i
$233$	−7.94810	+	13.7665i	−0.520698	+	0.901875i	0.479013	+	0.877808i	$0.340995\pi$
$233$	−7.94810	+	13.7665i	−0.520698	+	0.901875i	−0.999710	+	0.0240666i	$0.992339\pi$
$234$	−6.71914	+	5.22946i	−0.439244	+	0.341860i
$235$	−0.206809	−	0.358203i	−0.0134907	−	0.0233666i
$236$	−17.3314	−	4.38981i	−1.12818	−	0.285752i
$237$	3.03631			0.197229
$238$	−27.9707	+	6.65389i	−1.81307	+	0.431308i
$239$		−	3.88969i		−	0.251603i	−0.992055	−	0.125801i	$-0.959850\pi$
$239$		−	3.88969i		−	0.251603i	0.992055	−	0.125801i	$-0.0401502\pi$
$240$	−2.32091	+	0.0637510i	−0.149814	+	0.00411511i
$241$	25.4772	−	14.7093i	1.64113	−	0.947507i	0.660698	−	0.750652i	$-0.270260\pi$
$241$	25.4772	−	14.7093i	1.64113	−	0.947507i	0.980432	−	0.196856i	$-0.0630730\pi$
$242$	−11.4554	+	8.91562i	−0.736378	+	0.573118i
$243$	11.5971	+	6.69559i	0.743954	+	0.429522i
$244$	−9.59753	+	2.71342i	−0.614419	+	0.173709i
$245$	2.28177	−	6.61767i	0.145777	−	0.422787i
$246$	0.0879701	+	0.634507i	0.00560877	+	0.0404547i
$247$	−11.6884	−	6.74831i	−0.743716	−	0.429385i
$248$	15.2064	−	20.6860i	0.965610	−	1.31356i
$249$	1.33138	+	2.30601i	0.0843726	+	0.146138i
$250$	1.31025	+	0.532213i	0.0828673	+	0.0336601i
$251$		−	7.26249i		−	0.458404i	−0.973379	−	0.229202i	$-0.926388\pi$
$251$		−	7.26249i		−	0.458404i	0.973379	−	0.229202i	$-0.0736116\pi$
$252$	−13.1314	+	5.11302i	−0.827200	+	0.322090i
$253$			3.14018i			0.197421i
$254$	−0.971935	+	2.39279i	−0.0609846	+	0.150137i
$255$	2.23010	+	3.86264i	0.139654	+	0.241888i
$256$	−15.9759	+	0.878318i	−0.998492	+	0.0548949i
$257$	2.31724	+	1.33786i	0.144545	+	0.0834532i	0.570528	−	0.821278i	$-0.306738\pi$
$257$	2.31724	+	1.33786i	0.144545	+	0.0834532i	−0.425983	+	0.904731i	$0.640072\pi$
$258$	5.98742	−	0.830116i	0.372761	−	0.0516808i
$259$	−10.4986	−	4.78718i	−0.652354	−	0.297461i
$260$	−4.35095	+	1.23010i	−0.269834	+	0.0762878i
$261$	17.8990	+	10.3340i	1.10792	+	0.639656i
$262$	−0.592689	−	0.761525i	−0.0366165	−	0.0470472i
$263$	−23.5319	+	13.5861i	−1.45104	+	0.837757i	−0.998540	−	0.0540095i	$-0.982800\pi$
$263$	−23.5319	+	13.5861i	−1.45104	+	0.837757i	−0.452497	+	0.891766i	$0.649467\pi$
$264$	−0.155008	+	1.39958i	−0.00954007	+	0.0861380i
$265$			12.7379i			0.782484i
$266$	−15.3426	−	16.2350i	−0.940715	−	0.995430i
$267$	−3.92357			−0.240118
$268$	4.43733	−	17.5191i	0.271053	−	1.07015i
$269$	13.1313	+	22.7441i	0.800632	+	1.38673i	0.919201	+	0.393789i	$0.128836\pi$
$269$	13.1313	+	22.7441i	0.800632	+	1.38673i	−0.118569	+	0.992946i	$0.537831\pi$
$270$	2.85519	+	3.66853i	0.173761	+	0.223259i
$271$	1.48034	−	2.56402i	0.0899240	−	0.155753i	−0.817555	−	0.575851i	$-0.804671\pi$
$271$	1.48034	−	2.56402i	0.0899240	−	0.155753i	0.907479	+	0.420098i	$0.138004\pi$
$272$	16.0933	+	26.1864i	0.975797	+	1.58779i
$273$	2.82692	−	2.01552i	0.171093	−	0.121985i
$274$	1.70728	+	12.3142i	0.103140	+	0.743927i
$275$	0.428852	−	0.742794i	0.0258608	−	0.0447922i
$276$	−3.04631	−	2.96379i	−0.183367	−	0.178399i
$277$	−4.91040	+	2.83502i	−0.295037	+	0.170340i	−0.640211	−	0.768199i	$-0.721153\pi$
$277$	−4.91040	+	2.83502i	−0.295037	+	0.170340i	0.345174	+	0.938539i	$0.387820\pi$
$278$	−4.49049	+	11.0551i	−0.269322	+	0.663038i
$279$	−24.1730			−1.44720
$280$	−7.48253	−	0.108666i	−0.447166	−	0.00649403i
$281$	−14.7250			−0.878417			−0.439209	−	0.898385i	$-0.644741\pi$
$281$	−14.7250			−0.878417			−0.439209	+	0.898385i	$0.644741\pi$
$282$	0.127775	−	0.314567i	0.00760890	−	0.0187322i
$283$	12.5686	−	7.25646i	0.747123	−	0.431352i	−0.0775305	−	0.996990i	$-0.524704\pi$
$283$	12.5686	−	7.25646i	0.747123	−	0.431352i	0.824653	+	0.565638i	$0.191370\pi$
$284$	12.1255	−	12.4631i	0.719515	−	0.739550i
$285$	−1.73263	+	3.00099i	−0.102632	+	0.177764i
$286$	0.376590	+	2.71625i	0.0222682	+	0.160615i
$287$	0.197453	+	2.05517i	0.0116553	+	0.121313i
$288$	9.57557	+	11.6298i	0.564246	+	0.685294i
$289$	21.0226	−	36.4122i	1.23662	−	2.14189i
$290$	6.74113	+	8.66143i	0.395853	+	0.508617i
$291$	1.18841	+	2.05839i	0.0696659	+	0.120665i
$292$	−21.3128	−	5.39824i	−1.24724	−	0.315908i
$293$	−8.13913			−0.475493			−0.237747	−	0.971327i	$-0.576409\pi$
$293$	−8.13913			−0.475493			−0.237747	+	0.971327i	$0.576409\pi$
$294$	5.43732	−	1.85834i	0.317111	−	0.108381i
$295$			8.93937i			0.520470i
$296$	−1.35787	+	12.2603i	−0.0789245	+	0.712615i
$297$	2.44165	−	1.40968i	0.141679	−	0.0817982i
$298$	0.614998	+	0.790189i	0.0356259	+	0.0457744i
$299$	−7.16801	−	4.13845i	−0.414537	−	0.239333i
$300$	0.315828	+	1.11710i	0.0182344	+	0.0644960i
$301$	19.3933	−	1.86323i	1.11781	−	0.107395i
$302$	26.9139	−	3.73143i	1.54872	−	0.214720i
$303$	2.80643	+	1.62029i	0.161225	+	0.0930833i
$304$	−11.3676	+	21.0007i	−0.651978	+	1.20447i
$305$	2.49343	+	4.31875i	0.142773	+	0.247291i
$306$	10.8909	−	26.8121i	0.622590	−	1.53274i
$307$		−	17.5176i		−	0.999782i	−0.866088	−	0.499891i	$-0.833373\pi$
$307$		−	17.5176i		−	0.999782i	0.866088	−	0.499891i	$-0.166627\pi$
$308$	−0.688491	+	4.48602i	−0.0392304	+	0.255615i
$309$		−	5.49489i		−	0.312593i
$310$	−11.8932	−	4.83094i	−0.675488	−	0.274379i
$311$	−1.45962	−	2.52814i	−0.0827676	−	0.143358i	0.821670	−	0.569963i	$-0.193043\pi$
$311$	−1.45962	−	2.52814i	−0.0827676	−	0.143358i	−0.904438	+	0.426606i	$0.859709\pi$
$312$	−2.99050	−	2.19834i	−0.169304	−	0.124457i
$313$	−19.1504	−	11.0565i	−1.08244	−	0.624950i	−0.150890	−	0.988551i	$-0.548214\pi$
$313$	−19.1504	−	11.0565i	−1.08244	−	0.624950i	−0.931555	+	0.363601i	$0.881547\pi$
$314$	−2.70740	−	19.5278i	−0.152787	−	1.10202i
$315$	4.09034	+	5.73700i	0.230464	+	0.323244i
$316$	−2.84626	−	10.0674i	−0.160114	−	0.566334i
$317$	−16.0974	−	9.29387i	−0.904123	−	0.521996i	−0.0255873	−	0.999673i	$-0.508146\pi$
$317$	−16.0974	−	9.29387i	−0.904123	−	0.521996i	−0.878536	+	0.477677i	$0.841479\pi$
$318$	−8.25159	+	6.42215i	−0.462726	+	0.360136i
$319$	5.76475	−	3.32828i	0.322764	−	0.186348i
$320$	2.38701	+	7.63559i	0.133438	+	0.426842i
$321$		−	9.27108i		−	0.517461i
$322$	−9.40897	−	9.95623i	−0.524341	−	0.554839i
$323$	45.8739			2.55249
$324$	2.98629	−	11.7902i	0.165905	−	0.655012i
$325$	1.13037	+	1.95786i	0.0627018	+	0.108603i
$326$	−7.53062	+	5.86102i	−0.417082	+	0.324612i
$327$	−2.50199	+	4.33357i	−0.138360	+	0.239647i
$328$	2.02135	−	0.886472i	0.111610	−	0.0489472i
$329$	0.454021	−	0.995701i	0.0250310	−	0.0548948i
$330$	0.697396	−	0.0966893i	0.0383904	−	0.00532257i
$331$	−2.40439	+	4.16452i	−0.132157	+	0.228903i	−0.924508	−	0.381163i	$-0.875524\pi$
$331$	−2.40439	+	4.16452i	−0.132157	+	0.228903i	0.792351	+	0.610066i	$0.208857\pi$
$332$	6.39792	−	6.57607i	0.351131	−	0.360909i
$333$	10.0582	−	5.80708i	0.551184	−	0.318226i
$334$	−1.00420	−	0.407897i	−0.0549471	−	0.0223191i
$335$	−9.03615			−0.493697
$336$	−3.70211	−	4.90194i	−0.201967	−	0.267423i
$337$	3.08186			0.167880			0.0839398	−	0.996471i	$-0.473250\pi$
$337$	3.08186			0.167880			0.0839398	+	0.996471i	$0.473250\pi$
$338$	10.3366	+	4.19865i	0.562236	+	0.228376i
$339$	4.77122	−	2.75466i	0.259137	−	0.149613i
$340$	10.7167	−	11.0151i	0.581195	−	0.597379i
$341$	−3.89272	+	6.74239i	−0.210803	+	0.365121i
$342$	22.2709	−	3.08771i	1.20427	−	0.166964i
$343$	17.7609	−	5.24880i	0.958999	−	0.283408i
$344$	−8.36504	−	19.0741i	−0.451013	−	1.02841i
$345$	−1.06255	+	1.84038i	−0.0572055	+	0.0990829i
$346$	−7.76837	+	6.04606i	−0.417630	+	0.325038i
$347$	14.0669	+	24.3645i	0.755148	+	1.30795i	0.945301	+	0.326200i	$0.105768\pi$
$347$	14.0669	+	24.3645i	0.755148	+	1.30795i	−0.190153	+	0.981755i	$0.560898\pi$
$348$	−2.21214	+	8.73377i	−0.118583	+	0.468179i
$349$	6.48305			0.347030			0.173515	−	0.984831i	$-0.444488\pi$
$349$	6.48305			0.347030			0.173515	+	0.984831i	$0.444488\pi$
$350$	0.865931	+	3.64008i	0.0462860	+	0.194570i
$351$			7.43132i			0.396655i
$352$	4.78583	−	0.798020i	0.255086	−	0.0425346i
$353$	−2.83541	+	1.63702i	−0.150914	+	0.0871300i	−0.573555	−	0.819167i	$-0.694436\pi$
$353$	−2.83541	+	1.63702i	−0.150914	+	0.0871300i	0.422642	+	0.906297i	$0.361103\pi$
$354$	−5.79089	+	4.50701i	−0.307783	+	0.239545i
$355$	−7.52940	−	4.34710i	−0.399619	−	0.230720i
$356$	3.67798	+	13.0092i	0.194933	+	0.689488i
$357$	−4.89588	+	10.7370i	−0.259117	+	0.568263i
$358$	−3.35055	−	24.1667i	−0.177082	−	1.27725i
$359$	5.52569	+	3.19026i	0.291635	+	0.168375i	0.638679	−	0.769473i	$-0.279481\pi$
$359$	5.52569	+	3.19026i	0.291635	+	0.168375i	−0.347044	+	0.937849i	$0.612815\pi$
$360$	4.46135	−	6.06897i	0.235134	−	0.319863i
$361$	8.32036	+	14.4113i	0.437913	+	0.758488i
$362$	−10.9193	−	4.43535i	−0.573907	−	0.233117i
$363$			5.95789i			0.312708i
$364$	−9.33277	−	7.48375i	−0.489170	−	0.392255i
$365$			10.9929i			0.575396i
$366$	−1.54055	+	3.79264i	−0.0805256	+	0.198245i
$367$	−14.0637	−	24.3590i	−0.734117	−	1.27153i	−0.955110	−	0.296253i	$-0.904263\pi$
$367$	−14.0637	−	24.3590i	−0.734117	−	1.27153i	0.220993	−	0.975276i	$-0.429070\pi$
$368$	−6.97128	+	12.8788i	−0.363403	+	0.671355i
$369$	−1.79974	−	1.03908i	−0.0936908	−	0.0540924i
$370$	6.10919	−	0.846998i	0.317602	−	0.0440333i
$371$	−27.4409	+	19.5647i	−1.42466	+	1.01575i
$372$	−2.86680	−	10.1400i	−0.148636	−	0.525735i
$373$	11.7985	+	6.81189i	0.610905	+	0.352706i	0.773320	−	0.634017i	$-0.218595\pi$
$373$	11.7985	+	6.81189i	0.610905	+	0.352706i	−0.162415	+	0.986723i	$0.551928\pi$
$374$	−5.72467	−	7.35542i	−0.296015	−	0.380340i
$375$	0.502680	−	0.290223i	0.0259583	−	0.0149870i
$376$	−1.16278	−	0.128781i	−0.0599657	−	0.00664139i
$377$			17.5454i			0.903636i
$378$	−3.51760	+	11.7855i	−0.180926	+	0.606180i
$379$	27.0049			1.38715			0.693573	−	0.720386i	$-0.256035\pi$
$379$	27.0049			1.38715			0.693573	+	0.720386i	$0.256035\pi$
$380$	11.5745	+	2.93165i	0.593758	+	0.150390i
$381$	0.530009	+	0.918002i	0.0271532	+	0.0470307i
$382$	11.7240	+	15.0637i	0.599852	+	0.770728i
$383$	12.3100	−	21.3215i	0.629009	−	1.08948i	−0.358741	−	0.933437i	$-0.616794\pi$
$383$	12.3100	−	21.3215i	0.629009	−	1.08948i	0.987751	−	0.156039i	$-0.0498726\pi$
$384$	−3.74284	+	5.39597i	−0.191001	+	0.275362i
$385$	2.25887	−	0.217024i	0.115123	−	0.0110605i
$386$	3.57749	+	25.8036i	0.182089	+	1.31337i
$387$	−9.80512	+	16.9830i	−0.498422	+	0.863292i
$388$	5.71090	−	5.86992i	0.289927	−	0.298000i
$389$	10.2171	−	5.89882i	0.518026	−	0.299082i	−0.218101	−	0.975926i	$-0.569986\pi$
$389$	10.2171	−	5.89882i	0.518026	−	0.299082i	0.736127	+	0.676844i	$0.236653\pi$
$390$	−0.698392	+	1.71936i	−0.0353644	+	0.0870631i
$391$	28.1325			1.42272
$392$	−11.2586	−	16.2863i	−0.568646	−	0.822582i
$393$	−0.396066			−0.0199789
$394$	2.95915	−	7.28507i	0.149080	−	0.367017i
$395$	−4.53017	+	2.61550i	−0.227938	+	0.131600i
$396$	−3.27431	−	3.18560i	−0.164540	−	0.160083i
$397$	11.8315	−	20.4928i	0.593808	−	1.02851i	−0.399906	−	0.916556i	$-0.630957\pi$
$397$	11.8315	−	20.4928i	0.593808	−	1.02851i	0.993714	−	0.111949i	$-0.0357095\pi$
$398$	−0.333902	−	2.40835i	−0.0167370	−	0.120720i
$399$	−9.12617	+	0.876807i	−0.456880	+	0.0438952i
$400$	3.40788	−	2.09436i	0.170394	−	0.104718i
$401$	14.6235	−	25.3287i	0.730263	−	1.26485i	−0.226507	−	0.974009i	$-0.572731\pi$
$401$	14.6235	−	25.3287i	0.730263	−	1.26485i	0.956771	−	0.290844i	$-0.0939360\pi$
$402$	−4.55580	−	5.85359i	−0.227223	−	0.291950i
$403$	−10.2605	−	17.7717i	−0.511110	−	0.885269i
$404$	2.74158	−	10.8240i	0.136398	−	0.538516i
$405$	−6.08126			−0.302180
$406$	−8.30510	+	27.8257i	−0.412175	+	1.38097i
$407$		−	3.74060i		−	0.185414i
$408$	12.5387	+	1.38870i	0.620756	+	0.0687508i
$409$	−7.61896	+	4.39881i	−0.376733	+	0.217507i	−0.676396	−	0.736538i	$-0.736459\pi$
$409$	−7.61896	+	4.39881i	−0.376733	+	0.217507i	0.299663	+	0.954045i	$0.403126\pi$
$410$	−0.677821	−	0.870908i	−0.0334752	−	0.0430111i
$411$	4.41893	+	2.55127i	0.217970	+	0.125845i
$412$	−18.2192	+	5.15095i	−0.897596	+	0.253769i
$413$	−19.2578	+	13.7303i	−0.947615	+	0.675626i
$414$	13.6578	−	1.89356i	0.671245	−	0.0930636i
$415$	−3.97283	−	2.29372i	−0.195019	−	0.112594i
$416$	−4.48565	+	11.9762i	−0.219927	+	0.587183i
$417$	2.44872	+	4.24131i	0.119914	+	0.207698i
$418$	2.72519	−	6.70910i	0.133293	−	0.328153i
$419$		−	13.7370i		−	0.671094i	−0.942023	−	0.335547i	$-0.891079\pi$
$419$		−	13.7370i		−	0.671094i	0.942023	−	0.335547i	$-0.108921\pi$
$420$	−1.92145	+	2.39619i	−0.0937571	+	0.116922i
$421$		−	12.5052i		−	0.609467i	−0.952438	−	0.304734i	$-0.901433\pi$
$421$		−	12.5052i		−	0.609467i	0.952438	−	0.304734i	$-0.0985675\pi$
$422$	5.50536	+	2.23624i	0.267997	+	0.108858i
$423$	0.550749	+	0.953925i	0.0267783	+	0.0463814i
$424$	29.0288	+	21.3393i	1.40976	+	1.03633i
$425$	−6.65461	−	3.84204i	−0.322796	−	0.186366i
$426$	−0.980100	−	7.06922i	−0.0474860	−	0.342505i
$427$	−5.47399	+	12.0049i	−0.264905	+	0.580956i
$428$	−30.7398	+	8.69078i	−1.48586	+	0.420085i
$429$	0.974723	+	0.562757i	0.0470601	+	0.0271702i
$430$	−8.21818	+	6.39615i	−0.396316	+	0.308450i
$431$	18.5456	−	10.7073i	0.893310	−	0.515753i	0.0182864	−	0.999833i	$-0.494179\pi$
$431$	18.5456	−	10.7073i	0.893310	−	0.515753i	0.875024	+	0.484080i	$0.160846\pi$
$432$	13.1435	−	0.361027i	0.632366	−	0.0173699i
$433$			32.5232i			1.56297i	0.623926	+	0.781484i	$0.285537\pi$
$433$			32.5232i			1.56297i	−0.623926	+	0.781484i	$0.714463\pi$
$434$	−7.86011	−	33.0412i	−0.377297	−	1.58603i
$435$	4.50478			0.215988
$436$	16.7140	+	4.23343i	0.800457	+	0.202744i
$437$	10.9285	+	18.9287i	0.522780	+	0.905481i
$438$	−7.12118	+	5.54236i	−0.340263	+	0.264824i
$439$	−13.0049	+	22.5251i	−0.620688	+	1.07506i	0.368670	+	0.929560i	$0.379813\pi$
$439$	−13.0049	+	22.5251i	−0.620688	+	1.07506i	−0.989358	+	0.145503i	$0.953520\pi$
$440$	−0.974334	−	2.22169i	−0.0464495	−	0.105915i
$441$	−6.07654	+	17.6234i	−0.289359	+	0.839210i
$442$	24.3346	−	3.37383i	1.15748	−	0.160477i
$443$	−2.21951	+	3.84431i	−0.105452	+	0.182649i	−0.913923	−	0.405888i	$-0.866962\pi$
$443$	−2.21951	+	3.84431i	−0.105452	+	0.182649i	0.808471	+	0.588537i	$0.200296\pi$
$444$	3.62879	+	3.53048i	0.172215	+	0.167549i
$445$	5.85397	−	3.37979i	0.277505	−	0.160217i
$446$	−2.12967	−	0.865059i	−0.100843	−	0.0409617i
$447$	0.410974			0.0194384
$448$	−12.7828	+	16.8701i	−0.603931	+	0.797036i
$449$	−18.7677			−0.885704			−0.442852	−	0.896595i	$-0.646033\pi$
$449$	−18.7677			−0.885704			−0.442852	+	0.896595i	$0.646033\pi$
$450$	−3.48930	−	1.41733i	−0.164487	−	0.0668135i
$451$	−0.579646	+	0.334659i	−0.0272945	+	0.0157585i
$452$	−13.6061	−	13.2375i	−0.639978	−	0.622640i
$453$	5.57607	−	9.65803i	0.261986	−	0.453774i
$454$	3.21263	−	0.445410i	0.150776	−	0.0209041i
$455$	−2.48158	+	5.44229i	−0.116338	+	0.255139i
$456$	3.93645	+	8.97597i	0.184341	+	0.420338i
$457$	3.10017	−	5.36965i	0.145020	−	0.251182i	−0.784361	−	0.620305i	$-0.787009\pi$
$457$	3.10017	−	5.36965i	0.145020	−	0.251182i	0.929380	+	0.369124i	$0.120342\pi$
$458$	1.64918	−	1.28354i	0.0770611	−	0.0599761i
$459$	−12.6292	−	21.8745i	−0.589482	−	1.02101i
$460$	7.09813	+	1.79786i	0.330952	+	0.0838255i
$461$	−30.5190			−1.42141			−0.710707	−	0.703488i	$-0.751625\pi$
$461$	−30.5190			−1.42141			−0.710707	+	0.703488i	$0.751625\pi$
$462$	1.27945	+	1.35387i	0.0595256	+	0.0629878i
$463$		−	8.45400i		−	0.392891i	−0.980515	−	0.196445i	$-0.937060\pi$
$463$		−	8.45400i		−	0.392891i	0.980515	−	0.196445i	$-0.0629399\pi$
$464$	31.0319	−	0.852389i	1.44062	−	0.0395712i
$465$	−4.56286	+	2.63437i	−0.211598	+	0.122166i
$466$	17.7407	−	13.8075i	0.821822	−	0.639618i
$467$	−15.3274	−	8.84925i	−0.709265	−	0.409494i	0.101524	−	0.994833i	$-0.467628\pi$
$467$	−15.3274	−	8.84925i	−0.709265	−	0.409494i	−0.810789	+	0.585339i	$0.800962\pi$
$468$	11.5869	−	3.27587i	0.535606	−	0.151427i
$469$	−13.8790	−	19.4663i	−0.640872	−	0.898871i
$470$	0.0803301	+	0.579401i	0.00370535	+	0.0267258i
$471$	−7.00753	−	4.04580i	−0.322890	−	0.186421i
$472$	20.3722	+	14.9758i	0.937705	+	0.689315i
$473$	3.15795	+	5.46974i	0.145203	+	0.251499i
$474$	−3.97831	−	1.61596i	−0.182730	−	0.0742236i
$475$		−	5.96998i		−	0.273922i
$476$	40.1898	+	6.16812i	1.84210	+	0.282715i
$477$		−	33.9221i		−	1.55319i
$478$	−2.07014	+	5.09645i	−0.0946861	+	0.233106i
$479$	14.9353	+	25.8686i	0.682409	+	1.18197i	0.974244	+	0.225498i	$0.0724010\pi$
$479$	14.9353	+	25.8686i	0.682409	+	1.18197i	−0.291834	+	0.956469i	$0.594266\pi$
$480$	3.07489	+	1.15169i	0.140349	+	0.0525671i
$481$	8.53858	+	4.92975i	0.389326	+	0.224777i
$482$	−41.2099	+	5.71348i	−1.87706	+	0.260242i
$483$	−5.59669	+	0.537709i	−0.254658	+	0.0244666i
$484$	19.7544	−	5.58497i	0.897926	−	0.253862i
$485$	−3.54622	−	2.04741i	−0.161026	−	0.0929682i
$486$	−11.6316	−	14.9450i	−0.527619	−	0.677919i
$487$	9.38052	−	5.41585i	0.425072	−	0.245415i	−0.272173	−	0.962248i	$-0.587742\pi$
$487$	9.38052	−	5.41585i	0.425072	−	0.245415i	0.697245	+	0.716833i	$0.254409\pi$
$488$	14.0193	+	1.55268i	0.634622	+	0.0702865i
$489$			3.91665i			0.177117i
$490$	−6.51169	+	7.45640i	−0.294168	+	0.336846i
$491$	−21.5731			−0.973581			−0.486790	−	0.873519i	$-0.661832\pi$
$491$	−21.5731			−0.973581			−0.486790	+	0.873519i	$0.661832\pi$
$492$	0.222431	−	0.878181i	0.0100279	−	0.0395914i
$493$	−29.8177	−	51.6458i	−1.34292	−	2.32601i
$494$	11.7232	+	15.0627i	0.527451	+	0.677702i
$495$	−1.14207	+	1.97812i	−0.0513322	+	0.0889100i
$496$	−30.9335	+	19.0107i	−1.38896	+	0.853604i
$497$	−2.19988	−	22.8973i	−0.0986781	−	1.02708i
$498$	−0.517142	−	3.73002i	−0.0231737	−	0.167146i
$499$	−12.4350	+	21.5380i	−0.556667	+	0.964175i	0.441105	+	0.897456i	$0.354587\pi$
$499$	−12.4350	+	21.5380i	−0.556667	+	0.964175i	−0.997772	+	0.0667197i	$0.978747\pi$
$500$	−1.43350	−	1.39466i	−0.0641080	−	0.0623712i
$501$	−0.385263	+	0.222431i	−0.0172123	+	0.00993750i
$502$	−3.86519	+	9.51565i	−0.172512	+	0.424704i
$503$	27.6964			1.23492			0.617460	−	0.786602i	$-0.288162\pi$
$503$	27.6964			1.23492			0.617460	+	0.786602i	$0.288162\pi$
$504$	19.9266	+	0.289386i	0.887601	+	0.0128903i
$505$	−5.58292			−0.248437
$506$	1.67124	−	4.11441i	0.0742958	−	0.182908i
$507$	3.96566	−	2.28958i	0.176121	−	0.101684i
$508$	2.54695	−	2.61787i	0.113003	−	0.116149i
$509$	−13.3901	+	23.1924i	−0.593508	+	1.02799i	0.400248	+	0.916407i	$0.368924\pi$
$509$	−13.3901	+	23.1924i	−0.593508	+	1.02799i	−0.993756	+	0.111578i	$0.964409\pi$
$510$	−0.866229	−	6.24790i	−0.0383573	−	0.276662i
$511$	−23.6817	+	16.8845i	−1.04762	+	0.746926i
$512$	21.3998	+	7.35176i	0.945747	+	0.324905i
$513$	9.81200	−	16.9949i	0.433210	−	0.750342i
$514$	−2.32413	−	2.98619i	−0.102513	−	0.131715i
$515$	4.73334	+	8.19839i	0.208576	+	0.361264i
$516$	−8.28681	−	2.09893i	−0.364806	−	0.0924003i
$517$	0.354762			0.0156024
$518$	11.2080	+	11.8599i	0.492452	+	0.521095i
$519$			4.04030i			0.177350i
$520$	6.35549	+	0.703892i	0.278707	+	0.0308677i
$521$	7.67918	−	4.43358i	0.336431	−	0.194238i	−0.322262	−	0.946651i	$-0.604443\pi$
$521$	7.67918	−	4.43358i	0.336431	−	0.194238i	0.658693	+	0.752412i	$0.271110\pi$
$522$	−17.9522	−	23.0661i	−0.785746	−	1.00958i
$523$	−31.3535	−	18.1020i	−1.37099	−	0.791544i	−0.379941	−	0.925011i	$-0.624056\pi$
$523$	−31.3535	−	18.1020i	−1.37099	−	0.791544i	−0.991053	+	0.133467i	$0.957389\pi$
$524$	0.371276	+	1.31322i	0.0162193	+	0.0573684i
$525$	1.39731	+	0.637145i	0.0609834	+	0.0278073i
$526$	38.0633	−	5.27722i	1.65964	−	0.230098i
$527$	60.4044	+	34.8745i	2.63126	+	1.51916i
$528$	0.947972	−	1.75129i	0.0412552	−	0.0762153i
$529$	−4.79803	−	8.31043i	−0.208610	−	0.361323i
$530$	6.77929	−	16.6898i	0.294474	−	0.724960i
$531$		−	23.8063i		−	1.03310i
$532$	11.4621	+	29.4374i	0.496947	+	1.27627i
$533$		−	1.76419i		−	0.0764157i
$534$	5.14084	+	2.08818i	0.222466	+	0.0903642i
$535$	7.98617	+	13.8325i	0.345272	+	0.598029i
$536$	−15.1379	+	20.5927i	−0.653857	+	0.889470i
$537$	−8.67218	−	5.00688i	−0.374232	−	0.216063i
$538$	−5.10056	−	36.7891i	−0.219901	−	1.58609i
$539$	3.93702	+	4.53289i	0.169579	+	0.195245i
$540$	−1.78856	−	6.32625i	−0.0769675	−	0.272238i
$541$	6.18844	+	3.57290i	0.266062	+	0.153611i	0.627097	−	0.778941i	$-0.284243\pi$
$541$	6.18844	+	3.57290i	0.266062	+	0.153611i	−0.361035	+	0.932552i	$0.617576\pi$
$542$	−3.30421	+	2.57164i	−0.141928	+	0.110462i
$543$	−4.18923	+	2.41865i	−0.179777	+	0.103794i
$544$	−7.14938	−	42.8758i	−0.306527	−	1.83828i
$545$		−	8.62091i		−	0.369279i
$546$	−4.77665	+	1.13631i	−0.204422	+	0.0486295i
$547$	18.9413			0.809870			0.404935	−	0.914345i	$-0.367294\pi$
$547$	18.9413			0.809870			0.404935	+	0.914345i	$0.367294\pi$
$548$	4.31682	−	17.0433i	0.184405	−	0.728052i
$549$	−6.64021	−	11.5012i	−0.283397	−	0.490859i
$550$	−0.957227	+	0.745003i	−0.0408163	+	0.0317670i
$551$	23.1662	−	40.1251i	0.986915	−	1.70939i
$552$	2.41406	+	5.50458i	0.102749	+	0.234291i
$553$	−12.5926	−	5.74197i	−0.535490	−	0.244174i
$554$	7.94268	−	1.10120i	0.337452	−	0.0467855i
$555$	1.26571	−	2.19228i	0.0537264	−	0.0930569i
$556$	11.7673	−	12.0950i	0.499045	−	0.512941i
$557$	−14.4152	+	8.32262i	−0.610791	+	0.352641i	−0.773275	−	0.634071i	$-0.781383\pi$
$557$	−14.4152	+	8.32262i	−0.610791	+	0.352641i	0.162484	+	0.986711i	$0.448049\pi$
$558$	31.6726	+	12.8652i	1.34081	+	0.544627i
$559$	−16.6475			−0.704115
$560$	9.74613	+	4.12468i	0.411849	+	0.174300i
$561$	−3.82553			−0.161514
$562$	19.2933	+	7.83682i	0.813841	+	0.330576i
$563$	−16.0054	+	9.24075i	−0.674549	+	0.389451i	−0.797798	−	0.602925i	$-0.794002\pi$
$563$	−16.0054	+	9.24075i	−0.674549	+	0.389451i	0.123249	+	0.992376i	$0.460669\pi$
$564$	−0.334834	+	0.344158i	−0.0140991	+	0.0144916i
$565$	−4.74578	+	8.21993i	−0.199656	+	0.345815i
$566$	−20.3299	+	2.81860i	−0.854529	+	0.118475i
$567$	−9.34046	−	13.1007i	−0.392262	−	0.550177i
$568$	−22.5204	+	9.87643i	−0.944936	+	0.414406i
$569$	−15.4243	+	26.7157i	−0.646620	+	1.11998i	0.337305	+	0.941395i	$0.390485\pi$
$569$	−15.4243	+	26.7157i	−0.646620	+	1.11998i	−0.983925	+	0.178583i	$0.942849\pi$
$570$	3.86734	−	3.00992i	0.161985	−	0.126072i
$571$	15.9507	+	27.6274i	0.667515	+	1.15617i	0.978597	+	0.205786i	$0.0659751\pi$
$571$	15.9507	+	27.6274i	0.667515	+	1.15617i	−0.311082	+	0.950383i	$0.600692\pi$
$572$	0.952200	−	3.75939i	0.0398135	−	0.157188i
$573$	7.83460			0.327295
$574$	0.835078	−	2.79787i	0.0348555	−	0.116781i
$575$		−	3.66114i		−	0.152680i
$576$	−6.35681	−	20.3342i	−0.264867	−	0.847258i
$577$	0.0890408	−	0.0514077i	0.00370682	−	0.00214013i	−0.498145	−	0.867093i	$-0.665985\pi$
$577$	0.0890408	−	0.0514077i	0.00370682	−	0.00214013i	0.501852	+	0.864953i	$0.332652\pi$
$578$	−46.9239	+	36.5205i	−1.95178	+	1.51905i
$579$	9.25957	+	5.34602i	0.384815	+	0.222173i
$580$	−4.22282	−	14.9363i	−0.175343	−	0.620198i
$581$	−1.16075	−	12.0816i	−0.0481560	−	0.501228i
$582$	−0.461611	−	3.32949i	−0.0191344	−	0.138012i
$583$	−9.46165	−	5.46268i	−0.391861	−	0.226241i
$584$	25.0521	+	18.4160i	1.03666	+	0.762060i
$585$	−3.01028	−	5.21395i	−0.124460	−	0.215570i
$586$	10.6643	+	4.33175i	0.440537	+	0.178943i
$587$		−	16.8744i		−	0.696481i	−0.937405	−	0.348241i	$-0.886779\pi$
$587$		−	16.8744i		−	0.696481i	0.937405	−	0.348241i	$-0.113221\pi$
$588$	−8.11327	−	0.458924i	−0.334585	−	0.0189257i
$589$			54.1899i			2.23286i
$590$	4.75765	−	11.7128i	0.195869	−	0.482208i
$591$	−1.61366	−	2.79494i	−0.0663771	−	0.114968i
$592$	8.30424	−	15.3413i	0.341302	−	0.630525i
$593$	−10.5741	−	6.10497i	−0.434227	−	0.250701i	0.266919	−	0.963719i	$-0.413994\pi$
$593$	−10.5741	−	6.10497i	−0.434227	−	0.250701i	−0.701146	+	0.713018i	$0.747328\pi$
$594$	−3.94941	+	0.547559i	−0.162046	+	0.0224666i
$595$	−1.94429	−	20.2370i	−0.0797082	−	0.829636i
$596$	−0.385251	−	1.36265i	−0.0157805	−	0.0558165i
$597$	−0.864235	−	0.498966i	−0.0353708	−	0.0204213i
$598$	7.18933	+	9.23731i	0.293993	+	0.377742i
$599$	2.85986	−	1.65114i	0.116851	−	0.0674637i	−0.440436	−	0.897784i	$-0.645176\pi$
$599$	2.85986	−	1.65114i	0.116851	−	0.0674637i	0.557286	+	0.830320i	$0.311843\pi$
$600$	0.180724	−	1.63177i	0.00737802	−	0.0666167i
$601$		−	1.17354i		−	0.0478696i	−0.999714	−	0.0239348i	$-0.992381\pi$
$601$		−	1.17354i		−	0.0478696i	0.999714	−	0.0239348i	$-0.00761942\pi$
$602$	−26.4017	−	7.88008i	−1.07605	−	0.321168i
$603$	24.0640			0.979962
$604$	−37.2498	−	9.43485i	−1.51567	−	0.383899i
$605$	−5.13217	−	8.88918i	−0.208652	−	0.361397i
$606$	−2.81477	−	3.61660i	−0.114342	−	0.146914i
$607$	−19.3297	+	33.4800i	−0.784567	+	1.35891i	0.144691	+	0.989477i	$0.453781\pi$
$607$	−19.3297	+	33.4800i	−0.784567	+	1.35891i	−0.929258	+	0.369432i	$0.879552\pi$
$608$	26.0712	−	21.4661i	1.05733	−	0.870565i
$609$	6.91908	+	9.70452i	0.280375	+	0.393247i
$610$	−0.968516	−	6.98567i	−0.0392141	−	0.282841i
$611$	−0.467542	+	0.809807i	−0.0189147	+	0.0327613i
$612$	−28.5395	+	29.3342i	−1.15364	+	1.18576i
$613$	5.85186	−	3.37857i	0.236354	−	0.136459i	−0.377146	−	0.926154i	$-0.623094\pi$
$613$	5.85186	−	3.37857i	0.236354	−	0.136459i	0.613500	+	0.789695i	$0.289761\pi$
$614$	−9.32310	+	22.9524i	−0.376250	+	0.926283i
$615$	−0.452956			−0.0182649
$616$	3.28961	−	5.51137i	0.132542	−	0.222060i
$617$	−41.1014			−1.65468			−0.827340	−	0.561702i	$-0.810147\pi$
$617$	−41.1014			−1.65468			−0.827340	+	0.561702i	$0.810147\pi$
$618$	−2.92446	+	7.19967i	−0.117639	+	0.289613i
$619$	−40.4897	+	23.3768i	−1.62742	+	0.939591i	−0.642561	+	0.766234i	$0.722128\pi$
$619$	−40.4897	+	23.3768i	−1.62742	+	0.939591i	−0.984859	+	0.173357i	$0.944539\pi$
$620$	13.0120	+	12.6594i	0.522572	+	0.508416i
$621$	6.01728	−	10.4222i	0.241465	−	0.418230i
$622$	0.566957	+	4.08932i	0.0227329	+	0.163967i
$623$	16.2723	+	7.41988i	0.651937	+	0.297271i
$624$	2.74831	+	4.47196i	0.110020	+	0.179021i
$625$	−0.500000	+	0.866025i	−0.0200000	+	0.0346410i
$626$	19.2074	+	24.6788i	0.767680	+	0.986365i
$627$	−1.48608	−	2.57397i	−0.0593483	−	0.102794i
$628$	−6.84561	+	27.0272i	−0.273169	+	1.07850i
$629$	−33.5116			−1.33620
$630$	−2.30605	−	9.69383i	−0.0918751	−	0.386211i
$631$			27.1538i			1.08098i	0.841352	+	0.540488i	$0.181760\pi$
$631$			27.1538i			1.08098i	−0.841352	+	0.540488i	$0.818240\pi$
$632$	−1.62869	+	14.7056i	−0.0647858	+	0.584956i
$633$	2.11215	−	1.21945i	0.0839504	−	0.0484688i
$634$	16.1453	+	20.7445i	0.641213	+	0.823871i
$635$	−1.58155	−	0.913107i	−0.0627618	−	0.0362355i
$636$	14.2296	−	4.02300i	0.564239	−	0.159522i
$637$	−15.5357	+	3.01304i	−0.615548	+	0.119381i
$638$	−9.32461	+	1.29279i	−0.369165	+	0.0511822i
$639$	20.0514	+	11.5767i	0.793222	+	0.457967i
$640$	0.936185	−	11.2749i	0.0370059	−	0.445680i
$641$	−9.04928	−	15.6738i	−0.357425	−	0.619079i	0.630105	−	0.776510i	$-0.283012\pi$
$641$	−9.04928	−	15.6738i	−0.357425	−	0.619079i	−0.987530	+	0.157432i	$0.949679\pi$
$642$	−4.93419	+	12.1474i	−0.194737	+	0.479420i
$643$			28.6157i			1.12849i	0.825606	+	0.564247i	$0.190833\pi$
$643$			28.6157i			1.12849i	−0.825606	+	0.564247i	$0.809167\pi$
$644$	7.02924	+	18.0527i	0.276991	+	0.711376i
$645$			4.27425i			0.168298i
$646$	−60.1061	−	24.4147i	−2.36484	−	0.960583i
$647$	−4.83689	−	8.37773i	−0.190158	−	0.329363i	0.755145	−	0.655558i	$-0.227567\pi$
$647$	−4.83689	−	8.37773i	−0.190158	−	0.329363i	−0.945302	+	0.326195i	$0.894233\pi$
$648$	−10.1877	+	13.8587i	−0.400210	+	0.544423i
$649$	−6.64011	−	3.83367i	−0.260647	−	0.150485i
$650$	−0.439067	−	3.16689i	−0.0172216	−	0.124215i
$651$	−12.6834	−	5.78341i	−0.497103	−	0.226670i
$652$	12.9863	−	3.67150i	0.508582	−	0.143787i
$653$	4.11750	+	2.37724i	0.161130	+	0.0930287i	0.578397	−	0.815755i	$-0.303679\pi$
$653$	4.11750	+	2.37724i	0.161130	+	0.0930287i	−0.417267	+	0.908784i	$0.637012\pi$
$654$	5.58460	−	4.34645i	0.218375	−	0.169960i
$655$	0.590932	−	0.341175i	0.0230896	−	0.0133308i
$656$	−3.12026	+	0.0857078i	−0.121826	+	0.00334633i
$657$		−	29.2751i		−	1.14213i
$658$	−1.12481	+	1.06298i	−0.0438495	+	0.0414392i
$659$	−31.5514			−1.22907			−0.614534	−	0.788890i	$-0.710656\pi$
$659$	−31.5514			−1.22907			−0.614534	+	0.788890i	$0.710656\pi$
$660$	−0.965221	−	0.244477i	−0.0375712	−	0.00951625i
$661$	−12.7700	−	22.1183i	−0.496695	−	0.860301i	0.503298	−	0.864113i	$-0.332120\pi$
$661$	−12.7700	−	22.1183i	−0.496695	−	0.860301i	−0.999993	+	0.00381217i	$0.998787\pi$
$662$	5.36676	−	4.17691i	0.208585	−	0.162340i
$663$	5.04168	−	8.73245i	0.195803	−	0.339140i
$664$	−11.8827	+	5.21122i	−0.461139	+	0.202235i
$665$	12.8610	−	9.16954i	0.498727	−	0.355580i
$666$	−16.2693	+	2.25563i	−0.630422	+	0.0874038i
$667$	14.2069	−	24.6070i	0.550092	−	0.952788i
$668$	1.09866	+	1.06889i	0.0425083	+	0.0413567i
$669$	−0.817056	+	0.471727i	−0.0315892	+	0.0182380i
$670$	11.8396	+	4.80916i	0.457403	+	0.185794i
$671$	−4.27725			−0.165122
$672$	2.24180	+	8.39307i	0.0864794	+	0.323770i
$673$	27.1625			1.04704			0.523519	−	0.852014i	$-0.324619\pi$
$673$	27.1625			1.04704			0.523519	+	0.852014i	$0.324619\pi$
$674$	−4.03800	−	1.64021i	−0.155538	−	0.0631784i
$675$	−2.84672	+	1.64356i	−0.109570	+	0.0632605i
$676$	−11.3089	−	11.0025i	−0.434958	−	0.423174i
$677$	−1.06336	+	1.84180i	−0.0408683	+	0.0707860i	−0.885736	−	0.464189i	$-0.846346\pi$
$677$	−1.06336	+	1.84180i	−0.0408683	+	0.0707860i	0.844868	+	0.534975i	$0.179679\pi$
$678$	−7.71755	+	1.06999i	−0.296391	+	0.0410926i
$679$	−1.03611	−	10.7842i	−0.0397621	−	0.413861i
$680$	−19.9039	+	8.72896i	−0.763281	+	0.334740i
$681$	0.665598	−	1.15285i	0.0255058	−	0.0441773i
$682$	8.68881	−	6.76244i	0.332712	−	0.258947i
$683$	14.2239	+	24.6366i	0.544264	+	0.942692i	0.998653	+	0.0518890i	$0.0165242\pi$
$683$	14.2239	+	24.6366i	0.544264	+	0.942692i	−0.454389	+	0.890803i	$0.650142\pi$
$684$	−30.8238	−	7.80722i	−1.17858	−	0.298517i
$685$	−8.79073			−0.335877
$686$	−26.0647	−	2.57537i	−0.995154	−	0.0983282i
$687$		−	0.857733i		−	0.0327245i
$688$	0.808767	+	29.4438i	0.0308340	+	1.12254i
$689$	24.9391	−	14.3986i	0.950104	−	0.548543i
$690$	2.37167	−	1.84586i	0.0902881	−	0.0702706i
$691$	20.6371	+	11.9149i	0.785074	+	0.453262i	0.838225	−	0.545324i	$-0.183593\pi$
$691$	20.6371	+	11.9149i	0.785074	+	0.453262i	−0.0531518	+	0.998586i	$0.516927\pi$
$692$	13.3963	−	3.78741i	0.509250	−	0.143976i
$693$	−6.01556	+	0.577952i	−0.228512	+	0.0219546i
$694$	−5.46394	−	39.4101i	−0.207408	−	1.49599i
$695$	−7.30699	−	4.21869i	−0.277170	−	0.160024i
$696$	7.54668	−	10.2661i	0.286056	−	0.389134i
$697$	2.99817	+	5.19299i	0.113564	+	0.196699i
$698$	−8.49440	−	3.45037i	−0.321518	−	0.130598i
$699$		−	9.22688i		−	0.348993i
$700$	0.802714	−	5.23026i	0.0303397	−	0.197685i
$701$		−	37.3873i		−	1.41210i	−0.708162	−	0.706050i	$-0.750475\pi$
$701$		−	37.3873i		−	1.41210i	0.708162	−	0.706050i	$-0.249525\pi$
$702$	3.95505	−	9.73687i	0.149274	−	0.367495i
$703$	−13.0181	−	22.5479i	−0.490986	−	0.850412i
$704$	−6.69534	−	1.50148i	−0.252340	−	0.0565892i
$705$	0.207917	+	0.120041i	0.00783062	+	0.00452101i
$706$	4.58633	−	0.635864i	0.172609	−	0.0239311i
$707$	−8.57504	−	12.0271i	−0.322498	−	0.452327i
$708$	9.98620	−	2.82331i	0.375304	−	0.106106i
$709$	−38.0453	−	21.9655i	−1.42882	−	0.824931i	−0.431794	−	0.901972i	$-0.642119\pi$
$709$	−38.0453	−	21.9655i	−1.42882	−	0.824931i	−0.997028	+	0.0770416i	$0.975453\pi$
$710$	7.55179	+	9.70302i	0.283414	+	0.364148i
$711$	12.0642	−	6.96528i	0.452444	−	0.261219i
$712$	2.10462	−	19.0028i	0.0788740	−	0.712160i
$713$			33.2324i			1.24456i
$714$	12.1292	−	11.4625i	0.453924	−	0.428973i
$715$	−1.93905			−0.0725164
$716$	−8.47178	+	33.4475i	−0.316605	+	1.24999i
$717$	1.12887	+	1.95527i	0.0421586	+	0.0730209i
$718$	−5.54212	−	7.12088i	−0.206830	−	0.265749i
$719$	−18.9380	+	32.8015i	−0.706267	+	1.22329i	0.259965	+	0.965618i	$0.416289\pi$
$719$	−18.9380	+	32.8015i	−0.706267	+	1.22329i	−0.966232	+	0.257673i	$0.917044\pi$
$720$	−9.07547	+	5.57746i	−0.338223	+	0.207860i
$721$	−10.3914	+	22.7891i	−0.386997	+	0.848712i
$722$	−3.23185	−	23.3106i	−0.120277	−	0.867529i
$723$	−8.53793	+	14.7881i	−0.317529	+	0.549976i
$724$	11.9465	+	11.6228i	0.443987	+	0.431958i
$725$	−6.72114	+	3.88045i	−0.249617	+	0.144116i
$726$	3.17087	−	7.80631i	0.117682	−	0.289719i
$727$	27.8236			1.03192			0.515960	−	0.856613i	$-0.327435\pi$
$727$	27.8236			1.03192			0.515960	+	0.856613i	$0.327435\pi$
$728$	8.24529	+	14.7726i	0.305591	+	0.547509i
$729$	10.4709			0.387813
$730$	5.85058	−	14.4035i	0.216540	−	0.533096i
$731$	49.0028	−	28.2918i	1.81243	−	1.04641i
$732$	4.03699	−	4.14940i	0.149212	−	0.153366i
$733$	9.92259	−	17.1864i	0.366499	−	0.634796i	−0.622516	−	0.782607i	$-0.713890\pi$
$733$	9.92259	−	17.1864i	0.366499	−	0.634796i	0.989016	+	0.147811i	$0.0472229\pi$
$734$	5.46270	+	39.4012i	0.201632	+	1.45432i
$735$	0.773597	+	3.98879i	0.0285345	+	0.147129i
$736$	15.9884	−	13.1642i	0.589340	−	0.485241i
$737$	3.87517	−	6.71199i	0.142744	−	0.247239i
$738$	1.80509	+	2.31930i	0.0664464	+	0.0853746i
$739$	17.2053	+	29.8004i	0.632906	+	1.09623i	0.986955	+	0.160999i	$0.0514715\pi$
$739$	17.2053	+	29.8004i	0.632906	+	1.09623i	−0.354048	+	0.935227i	$0.615195\pi$
$740$	−8.45534	−	2.14162i	−0.310824	−	0.0787274i
$741$	7.83405			0.287791
$742$	46.3670	−	11.0302i	1.70219	−	0.404930i
$743$			23.5668i			0.864583i	0.901734	+	0.432292i	$0.142295\pi$
$743$			23.5668i			0.864583i	−0.901734	+	0.432292i	$0.857705\pi$
$744$	−1.64044	+	14.8117i	−0.0601416	+	0.543023i
$745$	−0.613174	+	0.354016i	−0.0224650	+	0.0129702i
$746$	−11.8336	−	15.2046i	−0.433260	−	0.556680i
$747$	10.5800	+	6.10835i	0.387101	+	0.223493i
$748$	3.58608	+	12.6842i	0.131120	+	0.463779i
$749$	−17.5326	+	38.4502i	−0.640626	+	1.40494i
$750$	−0.813096	+	0.112730i	−0.0296901	+	0.00411633i
$751$	−0.519753	−	0.300079i	−0.0189660	−	0.0109501i	0.490487	−	0.871449i	$-0.336819\pi$
$751$	−0.519753	−	0.300079i	−0.0189660	−	0.0109501i	−0.509453	+	0.860498i	$0.670152\pi$
$752$	1.45499	+	0.787581i	0.0530579	+	0.0287201i
$753$	2.10774	+	3.65071i	0.0768103	+	0.133039i
$754$	9.33792	−	22.9889i	0.340067	−	0.837205i
$755$			19.2131i			0.699235i
$756$	10.8813	−	13.5698i	0.395750	−	0.493529i
$757$			16.6446i			0.604957i	0.953156	+	0.302478i	$0.0978140\pi$
$757$			16.6446i			0.604957i	−0.953156	+	0.302478i	$0.902186\pi$
$758$	−35.3831	−	14.3724i	−1.28517	−	0.522027i
$759$	−0.911350	−	1.57850i	−0.0330799	−	0.0572961i
$760$	−13.6052	−	10.0013i	−0.493511	−	0.362784i
$761$	20.6135	+	11.9012i	0.747240	+	0.431419i	0.824696	−	0.565576i	$-0.191346\pi$
$761$	20.6135	+	11.9012i	0.747240	+	0.431419i	−0.0774556	+	0.996996i	$0.524680\pi$
$762$	−0.205870	−	1.48489i	−0.00745787	−	0.0537918i
$763$	18.5718	−	13.2412i	0.672344	−	0.479364i
$764$	−7.34421	−	25.9769i	−0.265704	−	0.939811i
$765$	17.7218	+	10.2317i	0.640733	+	0.369927i
$766$	−27.4767	+	21.3849i	−0.992772	+	0.772667i
$767$	17.5021	−	10.1048i	0.631963	−	0.364864i
$768$	7.77585	−	5.07807i	0.280587	−	0.183239i
$769$			9.41310i			0.339445i	0.985492	+	0.169722i	$0.0542871\pi$
$769$			9.41310i			0.339445i	−0.985492	+	0.169722i	$0.945713\pi$
$770$	−3.07518	−	0.917847i	−0.110822	−	0.0330769i
$771$	−1.55311			−0.0559337
$772$	9.04561	−	35.7130i	0.325558	−	1.28534i
$773$	4.52236	+	7.83296i	0.162658	+	0.281732i	0.935821	−	0.352475i	$-0.114660\pi$
$773$	4.52236	+	7.83296i	0.162658	+	0.281732i	−0.773163	+	0.634207i	$0.781327\pi$
$774$	21.8857	−	17.0335i	0.786665	−	0.612255i
$775$	4.53853	−	7.86097i	0.163029	−	0.282374i
$776$	−10.6067	+	4.65163i	−0.380760	+	0.166984i
$777$	6.66682	−	0.640522i	0.239171	−	0.0229786i
$778$	−16.5263	+	2.29126i	−0.592497	+	0.0821457i
$779$	−2.32937	+	4.03458i	−0.0834582	+	0.144554i
$780$	1.83013	−	1.88109i	0.0655292	−	0.0673539i
$781$	6.45800	−	3.72853i	0.231085	−	0.133417i
$782$	−36.8606	−	14.9725i	−1.31813	−	0.535416i
$783$	−25.5110			−0.911687
$784$	6.08380	+	27.3311i	0.217279	+	0.976110i
$785$	13.9403			0.497552
$786$	0.518945	+	0.210792i	0.0185102	+	0.00751870i
$787$	6.44710	−	3.72224i	0.229814	−	0.132683i	−0.380672	−	0.924710i	$-0.624307\pi$
$787$	6.44710	−	3.72224i	0.229814	−	0.132683i	0.610486	+	0.792027i	$0.290974\pi$
$788$	−7.75443	+	7.97035i	−0.276240	+	0.283932i
$789$	7.88601	−	13.6590i	0.280749	−	0.486272i
$790$	7.32765	−	1.01593i	0.260706	−	0.0361451i
$791$	−24.9972	+	2.40163i	−0.888798	+	0.0853923i
$792$	2.59473	+	5.91656i	0.0921998	+	0.210236i
$793$	5.63701	−	9.76359i	0.200176	−	0.346715i
$794$	−26.4088	+	20.5538i	−0.937214	+	0.729426i
$795$	−3.69683	−	6.40310i	−0.131113	−	0.227095i
$796$	−0.844264	+	3.33325i	−0.0299241	+	0.118144i
$797$	43.9511			1.55683			0.778413	−	0.627752i	$-0.216025\pi$
$797$	43.9511			1.55683			0.778413	+	0.627752i	$0.216025\pi$
$798$	12.4242	+	3.70823i	0.439811	+	0.131270i
$799$		−	3.17827i		−	0.112439i
$800$	−5.57981	+	0.930414i	−0.197276	+	0.0328951i
$801$	−15.5896	+	9.00066i	−0.550832	+	0.318023i
$802$	−32.6407	+	25.4040i	−1.15258	+	0.897046i
$803$	−8.16548	−	4.71434i	−0.288153	−	0.166365i
$804$	2.85387	+	10.0943i	0.100648	+	0.355999i
$805$	7.88709	−	5.62329i	0.277983	−	0.198195i
$806$	3.98544	+	28.7460i	0.140381	+	1.01254i
$807$	−13.2017	−	7.62202i	−0.464723	−	0.268308i
$808$	−9.35284	+	12.7231i	−0.329032	+	0.447596i
$809$	9.55706	+	16.5533i	0.336008	+	0.581984i	0.983678	−	0.179938i	$-0.0575896\pi$
$809$	9.55706	+	16.5533i	0.336008	+	0.581984i	−0.647670	+	0.761921i	$0.724256\pi$
$810$	7.96796	+	3.23653i	0.279965	+	0.113720i
$811$		−	19.1345i		−	0.671902i	−0.941879	−	0.335951i	$-0.890942\pi$
$811$		−	19.1345i		−	0.671902i	0.941879	−	0.335951i	$-0.109058\pi$
$812$	25.6909	−	32.0384i	0.901575	−	1.12433i
$813$			1.71851i			0.0602707i
$814$	−1.99080	+	4.90111i	−0.0697774	+	0.171784i
$815$	−3.37383	−	5.84364i	−0.118180	−	0.204694i
$816$	−15.6897	−	8.49278i	−0.549248	−	0.297307i
$817$	38.0717	+	21.9807i	1.33196	+	0.769007i
$818$	12.3238	−	1.70862i	0.430893	−	0.0597403i
$819$	6.60866	−	14.4933i	0.230925	−	0.506436i
$820$	0.424604	+	1.50185i	0.0148278	+	0.0524469i
$821$	38.2969	+	22.1108i	1.33657	+	0.771671i	0.986298	−	0.164976i	$-0.0527548\pi$
$821$	38.2969	+	22.1108i	1.33657	+	0.771671i	0.350275	+	0.936647i	$0.386088\pi$
$822$	−4.43207	−	5.69461i	−0.154586	−	0.198622i
$823$	19.0151	−	10.9784i	0.662825	−	0.382682i	−0.130527	−	0.991445i	$-0.541667\pi$
$823$	19.0151	−	10.9784i	0.662825	−	0.382682i	0.793353	+	0.608762i	$0.208334\pi$
$824$	26.6131	+	2.94749i	0.927111	+	0.102681i
$825$			0.497851i			0.0173329i
$826$	32.5400	−	7.74088i	1.13221	−	0.269340i
$827$	−23.2027			−0.806837			−0.403419	−	0.915016i	$-0.632178\pi$
$827$	−23.2027			−0.806837			−0.403419	+	0.915016i	$0.632178\pi$
$828$	−18.9029	−	4.78784i	−0.656922	−	0.166389i
$829$	16.0468	+	27.7939i	0.557330	+	0.965324i	0.997718	+	0.0675163i	$0.0215075\pi$
$829$	16.0468	+	27.7939i	0.557330	+	0.965324i	−0.440388	+	0.897807i	$0.645159\pi$
$830$	3.98465	+	5.11973i	0.138309	+	0.177708i
$831$	1.64558	−	2.85022i	0.0570844	−	0.0988731i
$832$	12.2512	−	13.3045i	0.424735	−	0.461251i
$833$	40.6097	−	35.2714i	1.40704	−	1.22208i
$834$	−0.951149	−	6.86040i	−0.0329356	−	0.237556i
$835$	0.383208	−	0.663736i	0.0132615	−	0.0229695i
$836$	−7.14135	+	7.34020i	−0.246989	+	0.253866i
$837$	25.8399	−	14.9187i	0.893157	−	0.515664i
$838$	−7.31099	+	17.9988i	−0.252554	+	0.621759i
$839$	33.2555			1.14811			0.574054	−	0.818818i	$-0.305370\pi$
$839$	33.2555			1.14811			0.574054	+	0.818818i	$0.305370\pi$
$840$	3.79286	−	2.11697i	0.130866	−	0.0730426i
$841$	−31.2316			−1.07695
$842$	−6.65545	+	16.3849i	−0.229362	+	0.564662i
$843$	7.40195	−	4.27352i	0.254937	−	0.147188i
$844$	−6.02323	−	5.86006i	−0.207328	−	0.201712i
$845$	−3.94451	+	6.83210i	−0.135695	+	0.235031i
$846$	−0.213926	−	1.54299i	−0.00735492	−	0.0530492i
$847$	11.2670	−	24.7094i	0.387139	−	0.849023i
$848$	−26.6778	−	43.4093i	−0.916120	−	1.49068i
$849$	−4.21198	+	7.29536i	−0.144555	+	0.250376i
$850$	6.67441	+	8.57570i	0.228930	+	0.294144i
$851$	−7.98343	−	13.8277i	−0.273668	−	0.474008i
$852$	−2.47816	+	9.78405i	−0.0849004	+	0.335196i
$853$	49.5028			1.69494			0.847472	−	0.530840i	$-0.178123\pi$
$853$	49.5028			1.69494			0.847472	+	0.530840i	$0.178123\pi$
$854$	13.5614	−	12.8160i	0.464063	−	0.438555i
$855$			15.8986i			0.543719i
$856$	44.9021	+	4.97305i	1.53472	+	0.169975i
$857$	−2.87350	+	1.65902i	−0.0981569	+	0.0566709i	−0.548275	−	0.836298i	$-0.684715\pi$
$857$	−2.87350	+	1.65902i	−0.0981569	+	0.0566709i	0.450118	+	0.892969i	$0.351382\pi$
$858$	−0.977622	−	1.25611i	−0.0333755	−	0.0428829i
$859$	13.1372	+	7.58478i	0.448236	+	0.258789i	0.707085	−	0.707128i	$-0.250010\pi$
$859$	13.1372	+	7.58478i	0.448236	+	0.258789i	−0.258849	+	0.965918i	$0.583343\pi$
$860$	14.1720	−	4.00671i	0.483260	−	0.136628i
$861$	−0.695714	−	0.975790i	−0.0237099	−	0.0332548i
$862$	−29.9979	+	4.15901i	−1.02173	+	0.141656i
$863$	3.04939	+	1.76057i	0.103802	+	0.0599304i	0.551003	−	0.834504i	$-0.314245\pi$
$863$	3.04939	+	1.76057i	0.103802	+	0.0599304i	−0.447200	+	0.894434i	$0.647579\pi$
$864$	−17.4134	−	6.52210i	−0.592415	−	0.221887i
$865$	−3.48034	−	6.02813i	−0.118335	−	0.204963i
$866$	17.3093	−	42.6135i	0.588194	−	1.44807i
$867$			24.4049i			0.828835i
$868$	−7.28629	+	47.4754i	−0.247313	+	1.61142i
$869$		−	4.48665i		−	0.152199i
$870$	−5.90238	−	2.39751i	−0.200109	−	0.0812830i
$871$	10.2142	+	17.6915i	0.346095	+	0.599455i
$872$	−19.6464	−	14.4423i	−0.665312	−	0.489077i
$873$	9.44388	+	5.45243i	0.319627	+	0.184537i
$874$	−4.24491	−	30.6175i	−0.143586	−	1.03565i
$875$	−2.63362	+	0.253028i	−0.0890327	+	0.00855392i
$876$	12.2802	−	3.47188i	0.414911	−	0.117304i
$877$	−16.0458	−	9.26407i	−0.541830	−	0.312826i	0.203990	−	0.978973i	$-0.434609\pi$
$877$	−16.0458	−	9.26407i	−0.541830	−	0.312826i	−0.745820	+	0.666147i	$0.767942\pi$
$878$	29.0277	−	22.5921i	0.979639	−	0.762445i
$879$	4.09138	−	2.36216i	0.137999	−	0.0796737i
$880$	0.0942027	+	3.42952i	0.00317557	+	0.115609i
$881$		−	19.2789i		−	0.649524i	−0.945796	−	0.324762i	$-0.894716\pi$
$881$		−	19.2789i		−	0.649524i	0.945796	−	0.324762i	$-0.105284\pi$
$882$	17.3412	−	19.8570i	0.583908	−	0.668620i
$883$	−17.7992			−0.598992			−0.299496	−	0.954098i	$-0.596818\pi$
$883$	−17.7992			−0.598992			−0.299496	+	0.954098i	$0.596818\pi$
$884$	−33.6800	−	8.53066i	−1.13278	−	0.286917i
$885$	−2.59441	−	4.49365i	−0.0872100	−	0.151052i
$886$	4.95410	−	3.85574i	0.166436	−	0.129536i
$887$	−9.38801	+	16.2605i	−0.315218	+	0.545974i	−0.979484	−	0.201522i	$-0.935411\pi$
$887$	−9.38801	+	16.2605i	−0.315218	+	0.545974i	0.664266	+	0.747497i	$0.268744\pi$
$888$	−2.87564	−	6.55709i	−0.0965002	−	0.220042i
$889$	−0.462084	−	4.80956i	−0.0154978	−	0.161307i
$890$	−9.46892	+	1.31280i	−0.317399	+	0.0440052i
$891$	2.60796	−	4.51712i	0.0873700	−	0.151329i
$892$	2.33000	+	2.26688i	0.0780143	+	0.0759008i
$893$	2.13847	−	1.23464i	0.0715611	−	0.0413158i
$894$	−0.538478	−	0.218726i	−0.0180094	−	0.00731530i
$895$	17.2519			0.576666
$896$	25.7271	−	15.3008i	0.859483	−	0.511164i
$897$	4.80429			0.160411
$898$	24.5904	+	9.98843i	0.820591	+	0.333318i
$899$	61.0082	−	35.2231i	2.03474	−	1.17476i
$900$	3.81752	+	3.71410i	0.127251	+	0.123803i
$901$	−48.9396	+	84.7659i	−1.63042	+	2.82396i
$902$	0.937590	−	0.129990i	0.0312183	−	0.00432821i
$903$	−9.20788	+	6.56499i	−0.306419	+	0.218469i
$904$	10.7822	+	24.5858i	0.358611	+	0.817711i
$905$	4.16689	−	7.21727i	0.138512	−	0.239910i
$906$	−12.4462	+	9.68675i	−0.413496	+	0.321821i
$907$	−13.6403	−	23.6257i	−0.452919	−	0.784479i	0.545647	−	0.838015i	$-0.316284\pi$
$907$	−13.6403	−	23.6257i	−0.452919	−	0.784479i	−0.998566	+	0.0535366i	$0.982951\pi$
$908$	−4.44640	−	1.12621i	−0.147559	−	0.0373746i
$909$	14.8678			0.493133
$910$	6.14795	−	5.81002i	0.203803	−	0.192600i
$911$		−	27.0878i		−	0.897459i	−0.893668	−	0.448729i	$-0.851877\pi$
$911$		−	27.0878i		−	0.897459i	0.893668	−	0.448729i	$-0.148123\pi$
$912$	−0.380592	−	13.8558i	−0.0126027	−	0.458811i
$913$	3.40751	−	1.96733i	0.112772	−	0.0651091i
$914$	−6.91979	+	5.38562i	−0.228886	+	0.178140i
$915$	−2.50680	−	1.44730i	−0.0828722	−	0.0478463i
$916$	−2.84395	+	0.804045i	−0.0939669	+	0.0265664i
$917$	1.64262	+	0.749003i	0.0542440	+	0.0247343i
$918$	4.90553	+	35.3824i	0.161907	+	1.16779i
$919$	−29.8324	−	17.2237i	−0.984080	−	0.568159i	−0.0805808	−	0.996748i	$-0.525678\pi$
$919$	−29.8324	−	17.2237i	−0.984080	−	0.568159i	−0.903500	+	0.428589i	$0.859011\pi$
$920$	−8.34347	−	6.13336i	−0.275076	−	0.202211i
$921$	5.08401	+	8.80576i	0.167524	+	0.290160i
$922$	39.9875	+	16.2426i	1.31692	+	0.534923i
$923$			19.6554i			0.646965i
$924$	−0.955854	−	2.45485i	−0.0314453	−	0.0807586i
$925$			4.36117i			0.143394i
$926$	−4.49933	+	11.0768i	−0.147857	+	0.364007i
$927$	−12.6053	−	21.8330i	−0.414012	−	0.717089i
$928$	−41.1131	−	15.3988i	−1.34961	−	0.505489i
$929$	−20.0653	−	11.5847i	−0.658321	−	0.380082i	0.133316	−	0.991074i	$-0.457437\pi$
$929$	−20.0653	−	11.5847i	−0.658321	−	0.380082i	−0.791637	+	0.610992i	$0.790771\pi$
$930$	7.38053	−	1.02326i	0.242017	−	0.0335540i
$931$	39.5074	+	13.6221i	1.29480	+	0.446447i
$932$	−30.5932	+	8.64935i	−1.00211	+	0.283319i
$933$	1.46745	+	0.847231i	0.0480421	+	0.0277371i
$934$	15.3729	+	19.7521i	0.503018	+	0.646310i
$935$	5.70769	−	3.29534i	0.186661	−	0.107769i
$936$	−16.9252	−	1.87452i	−0.553218	−	0.0612707i
$937$			20.4893i			0.669358i	0.942332	+	0.334679i	$0.108628\pi$
$937$			20.4893i			0.669358i	−0.942332	+	0.334679i	$0.891372\pi$
$938$	7.82468	+	32.8923i	0.255485	+	1.07397i
$939$	12.8354			0.418867
$940$	0.203113	−	0.801912i	0.00662481	−	0.0261555i
$941$	−26.9243	−	46.6343i	−0.877708	−	1.52024i	−0.853849	−	0.520520i	$-0.825738\pi$
$941$	−26.9243	−	46.6343i	−0.877708	−	1.52024i	−0.0238591	−	0.999715i	$-0.507595\pi$
$942$	7.02838	+	9.03051i	0.228997	+	0.294230i
$943$	−1.42850	+	2.47424i	−0.0465184	+	0.0805723i
$944$	−18.7223	−	30.4643i	−0.609358	−	0.991528i
$945$	−7.91306	−	3.60821i	−0.257412	−	0.117375i
$946$	−1.22663	−	8.84741i	−0.0398813	−	0.287654i
$947$	6.99781	−	12.1206i	0.227398	−	0.393865i	−0.729638	−	0.683834i	$-0.760311\pi$
$947$	6.99781	−	12.1206i	0.227398	−	0.393865i	0.957036	+	0.289968i	$0.0936447\pi$
$948$	4.35254	+	4.23462i	0.141364	+	0.137534i
$949$	21.5226	−	12.4261i	0.698655	−	0.403368i
$950$	−3.17731	+	7.82216i	−0.103085	+	0.253784i
$951$	10.7892			0.349863
$952$	−49.3758	−	29.4713i	−1.60028	−	0.955171i
$953$	51.5546			1.67002			0.835009	−	0.550237i	$-0.185462\pi$
$953$	51.5546			1.67002			0.835009	+	0.550237i	$0.185462\pi$
$954$	−18.0538	+	44.4464i	−0.584514	+	1.43901i
$955$	−11.6892	+	6.74878i	−0.378255	+	0.218385i
$956$	5.42480	−	5.57585i	0.175451	−	0.180336i
$957$	−1.93189	+	3.34612i	−0.0624490	+	0.108165i
$958$	−5.80125	−	41.8430i	−0.187430	−	1.35189i
$959$	−13.5020	−	18.9376i	−0.436004	−	0.611528i
$960$	−3.41592	−	3.14549i	−0.110249	−	0.101520i
$961$	−25.6965	+	44.5077i	−0.828921	+	1.43573i
$962$	−8.56397	−	11.0035i	−0.276114	−	0.354768i
$963$	−21.2678	−	36.8370i	−0.685347	−	1.18706i
$964$	57.0360	+	14.4464i	1.83701	+	0.465287i
$965$	−18.4204			−0.592974
$966$	7.61923	+	2.27410i	0.245145	+	0.0731681i
$967$			30.7309i			0.988238i	0.869394	+	0.494119i	$0.164509\pi$
$967$			30.7309i			0.988238i	−0.869394	+	0.494119i	$0.835491\pi$
$968$	−28.8555	−	3.19584i	−0.927451	−	0.102718i
$969$	−23.0599	+	13.3136i	−0.740791	+	0.427696i
$970$	3.55677	+	4.56996i	0.114201	+	0.146733i
$971$	26.8740	+	15.5157i	0.862429	+	0.497923i	0.864825	−	0.502074i	$-0.167429\pi$
$971$	26.8740	+	15.5157i	0.862429	+	0.497923i	−0.00239622	+	0.999997i	$0.500763\pi$
$972$	7.28632	+	25.7721i	0.233709	+	0.826642i
$973$	−2.13490	−	22.2209i	−0.0684417	−	0.712369i
$974$	−15.1732	+	2.10366i	−0.486180	+	0.0674056i
$975$	−1.13643	−	0.656120i	−0.0363950	−	0.0210127i
$976$	−17.5423	−	9.49563i	−0.561517	−	0.303948i
$977$	−11.3575	−	19.6718i	−0.363360	−	0.629357i	0.625152	−	0.780503i	$-0.285037\pi$
$977$	−11.3575	−	19.6718i	−0.363360	−	0.629357i	−0.988511	+	0.151146i	$0.951704\pi$
$978$	2.08449	−	5.13178i	0.0666547	−	0.164096i
$979$			5.79772i			0.185296i
$980$	12.5003	−	6.30411i	0.399308	−	0.201377i
$981$			22.9582i			0.732999i
$982$	28.2661	+	11.4815i	0.902008	+	0.366389i
$983$	−19.6854	−	34.0962i	−0.627868	−	1.08750i	−0.987979	−	0.154590i	$-0.950594\pi$
$983$	−19.6854	−	34.0962i	−0.627868	−	1.08750i	0.360111	−	0.932910i	$-0.382739\pi$
$984$	−0.758819	+	1.03225i	−0.0241903	+	0.0329070i
$985$	4.81516	+	2.78004i	0.153424	+	0.0885793i
$986$	11.5820	+	83.5382i	0.368846	+	2.66040i
$987$	0.0607477	+	0.632287i	0.00193362	+	0.0201259i
$988$	−7.34370	−	25.9751i	−0.233634	−	0.826377i
$989$	23.3477	+	13.4798i	0.742415	+	0.428634i
$990$	2.54918	−	1.98400i	0.0810181	−	0.0630558i
$991$	−8.19692	+	4.73249i	−0.260384	+	0.150333i	−0.624510	−	0.781017i	$-0.714701\pi$
$991$	−8.19692	+	4.73249i	−0.260384	+	0.150333i	0.364126	+	0.931350i	$0.381368\pi$
$992$	50.6483	−	8.44543i	1.60809	−	0.268143i
$993$		−	2.79123i		−	0.0885771i
$994$	−9.30384	+	31.1719i	−0.295100	+	0.988712i
$995$	1.71925			0.0545040
$996$	−1.30758	+	5.16248i	−0.0414324	+	0.163580i
$997$	−12.3369	−	21.3682i	−0.390715	−	0.676738i	0.601829	−	0.798625i	$-0.294439\pi$
$997$	−12.3369	−	21.3682i	−0.390715	−	0.676738i	−0.992544	+	0.121887i	$0.961106\pi$
$998$	27.7558	−	21.6021i	0.878593	−	0.683802i
$999$	−7.16783	+	12.4150i	−0.226780	+	0.392795i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bj.e.131.3	✓	24
4.3	odd	2		1120.2.bz.f.271.9		24
7.3	odd	6		280.2.bj.f.171.10	yes	24
8.3	odd	2		280.2.bj.f.131.10	yes	24
8.5	even	2		1120.2.bz.e.271.9		24
28.3	even	6		1120.2.bz.e.591.9		24
56.3	even	6	inner	280.2.bj.e.171.3	yes	24
56.45	odd	6		1120.2.bz.f.591.9		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bj.e.131.3	✓	24	1.1	even	1	trivial
280.2.bj.e.171.3	yes	24	56.3	even	6	inner
280.2.bj.f.131.10	yes	24	8.3	odd	2
280.2.bj.f.171.10	yes	24	7.3	odd	6
1120.2.bz.e.271.9		24	8.5	even	2
1120.2.bz.e.591.9		24	28.3	even	6
1120.2.bz.f.271.9		24	4.3	odd	2
1120.2.bz.f.591.9		24	56.45	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.31025 - 0.532213i) q^{2} +(-0.502680 + 0.290223i) q^{3} +(1.43350 + 1.39466i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.813096 - 0.112730i) q^{6} +(2.63362 - 0.253028i) q^{7} +(-1.13598 - 2.59028i) q^{8} +(-1.33154 + 2.30630i) q^{9} +O(q^{10})\)	\(q+(-1.31025 - 0.532213i) q^{2} +(-0.502680 + 0.290223i) q^{3} +(1.43350 + 1.39466i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.813096 - 0.112730i) q^{6} +(2.63362 - 0.253028i) q^{7} +(-1.13598 - 2.59028i) q^{8} +(-1.33154 + 2.30630i) q^{9} +(-1.11603 + 0.868601i) q^{10} +(0.428852 + 0.742794i) q^{11} +(-1.12535 - 0.285036i) q^{12} -2.26075 q^{13} +(-3.58537 - 1.07012i) q^{14} +0.580445i q^{15} +(0.109831 + 3.99849i) q^{16} +(6.65461 - 3.84204i) q^{17} +(2.97209 - 2.31316i) q^{18} +(5.17016 + 2.98499i) q^{19} +(1.92456 - 0.544114i) q^{20} +(-1.25044 + 0.891530i) q^{21} +(-0.166578 - 1.20148i) q^{22} +(3.17064 + 1.83057i) q^{23} +(1.32279 + 0.972397i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(2.96214 + 1.20320i) q^{26} -3.28711i q^{27} +(4.12818 + 3.31030i) q^{28} -7.76090i q^{29} +(0.308921 - 0.760527i) q^{30} +(4.53853 + 7.86097i) q^{31} +(1.98415 - 5.29747i) q^{32} +(-0.431151 - 0.248925i) q^{33} +(-10.7640 + 1.49235i) q^{34} +(1.09768 - 2.40730i) q^{35} +(-5.12527 + 1.44902i) q^{36} +(-3.77689 - 2.18059i) q^{37} +(-5.18553 - 6.66271i) q^{38} +(1.13643 - 0.656120i) q^{39} +(-2.81124 - 0.311354i) q^{40} +0.780359i q^{41} +(2.11287 - 0.502626i) q^{42} +7.36373 q^{43} +(-0.421188 + 1.66290i) q^{44} +(1.33154 + 2.30630i) q^{45} +(-3.18007 - 4.08596i) q^{46} +(0.206809 - 0.358203i) q^{47} +(-1.21566 - 1.97809i) q^{48} +(6.87195 - 1.33276i) q^{49} +(0.194213 + 1.40081i) q^{50} +(-2.23010 + 3.86264i) q^{51} +(-3.24077 - 3.15298i) q^{52} +(-11.0314 + 6.36896i) q^{53} +(-1.74944 + 4.30693i) q^{54} +0.857704 q^{55} +(-3.64716 - 6.53439i) q^{56} -3.46525 q^{57} +(-4.13046 + 10.1687i) q^{58} +(-7.74172 + 4.46968i) q^{59} +(-0.809526 + 0.832067i) q^{60} +(-2.49343 + 4.31875i) q^{61} +(-1.76289 - 12.7153i) q^{62} +(-2.92322 + 6.41084i) q^{63} +(-5.41911 + 5.88501i) q^{64} +(-1.13037 + 1.95786i) q^{65} +(0.432434 + 0.555618i) q^{66} +(-4.51807 - 7.82553i) q^{67} +(14.8977 + 3.77338i) q^{68} -2.12509 q^{69} +(-2.71943 + 2.56996i) q^{70} -8.69420i q^{71} +(7.48656 + 0.829161i) q^{72} +(-9.52015 + 5.49646i) q^{73} +(3.78812 + 4.86722i) q^{74} +(0.502680 + 0.290223i) q^{75} +(3.24835 + 11.4896i) q^{76} +(1.31738 + 1.84773i) q^{77} +(-1.83820 + 0.254855i) q^{78} +(-4.53017 - 2.61550i) q^{79} +(3.51771 + 1.90413i) q^{80} +(-3.04063 - 5.26653i) q^{81} +(0.415318 - 1.02246i) q^{82} -4.58743i q^{83} +(-3.03588 - 0.465932i) q^{84} -7.68409i q^{85} +(-9.64831 - 3.91908i) q^{86} +(2.25239 + 3.90126i) q^{87} +(1.43688 - 1.95465i) q^{88} +(5.85397 + 3.37979i) q^{89} +(-0.517207 - 3.73049i) q^{90} +(-5.95396 + 0.572033i) q^{91} +(1.99208 + 7.04609i) q^{92} +(-4.56286 - 2.63437i) q^{93} +(-0.461611 + 0.359269i) q^{94} +(5.17016 - 2.98499i) q^{95} +(0.540054 + 3.23878i) q^{96} -4.09482i q^{97} +(-9.71328 - 1.91110i) q^{98} -2.28414 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 8 q^{12} - 20 q^{13} - 15 q^{14} - 3 q^{16} + 6 q^{17} - 27 q^{18} + 18 q^{19} + 2 q^{20} + 26 q^{21} - 16 q^{22} - 18 q^{23} + 6 q^{24} - 12 q^{25} - 29 q^{26} + 3 q^{28} + 10 q^{30} + 6 q^{31} - 33 q^{32} + 12 q^{33} + 20 q^{34} - 8 q^{35} - 22 q^{36} + 9 q^{38} + 18 q^{39} - 3 q^{40} - 12 q^{42} + 32 q^{43} - 25 q^{44} - 12 q^{45} + 53 q^{46} + 14 q^{48} + 8 q^{49} - 22 q^{51} - 31 q^{52} - 30 q^{53} + 10 q^{54} + 16 q^{55} + 16 q^{56} - 44 q^{57} + 30 q^{58} - 18 q^{59} + 10 q^{60} - 22 q^{61} - 8 q^{62} + 12 q^{63} + 58 q^{64} - 10 q^{65} - 8 q^{66} - 8 q^{67} - 6 q^{68} + 12 q^{69} + 3 q^{70} - 23 q^{72} + 30 q^{73} - 43 q^{74} - 12 q^{75} - 8 q^{76} + 32 q^{77} - 8 q^{78} - 6 q^{79} + 3 q^{80} - 4 q^{81} - 27 q^{82} - 16 q^{84} - 36 q^{86} - 14 q^{87} + 49 q^{88} - 60 q^{89} - 24 q^{90} + 18 q^{91} - 38 q^{92} + 18 q^{93} + 11 q^{94} + 18 q^{95} + 2 q^{96} - 19 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 8 * q^12 - 20 * q^13 - 15 * q^14 - 3 * q^16 + 6 * q^17 - 27 * q^18 + 18 * q^19 + 2 * q^20 + 26 * q^21 - 16 * q^22 - 18 * q^23 + 6 * q^24 - 12 * q^25 - 29 * q^26 + 3 * q^28 + 10 * q^30 + 6 * q^31 - 33 * q^32 + 12 * q^33 + 20 * q^34 - 8 * q^35 - 22 * q^36 + 9 * q^38 + 18 * q^39 - 3 * q^40 - 12 * q^42 + 32 * q^43 - 25 * q^44 - 12 * q^45 + 53 * q^46 + 14 * q^48 + 8 * q^49 - 22 * q^51 - 31 * q^52 - 30 * q^53 + 10 * q^54 + 16 * q^55 + 16 * q^56 - 44 * q^57 + 30 * q^58 - 18 * q^59 + 10 * q^60 - 22 * q^61 - 8 * q^62 + 12 * q^63 + 58 * q^64 - 10 * q^65 - 8 * q^66 - 8 * q^67 - 6 * q^68 + 12 * q^69 + 3 * q^70 - 23 * q^72 + 30 * q^73 - 43 * q^74 - 12 * q^75 - 8 * q^76 + 32 * q^77 - 8 * q^78 - 6 * q^79 + 3 * q^80 - 4 * q^81 - 27 * q^82 - 16 * q^84 - 36 * q^86 - 14 * q^87 + 49 * q^88 - 60 * q^89 - 24 * q^90 + 18 * q^91 - 38 * q^92 + 18 * q^93 + 11 * q^94 + 18 * q^95 + 2 * q^96 - 19 * q^98 - 56 * q^99

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