LMFDB - Embedded newform 504.2.bf.b.115.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(115,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 4, 1]))

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

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

chi := DirichletCharacter("504.115");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.bf (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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$90$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			115.5
Character	$\chi$	$=$	504.115
Dual form			504.2.bf.b.355.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40172 - 0.187532i) q^{2} +(0.894629 - 1.48312i) q^{3} +(1.92966 + 0.525737i) q^{4} +(-0.356494 + 0.617465i) q^{5} +(-1.53216 + 1.91115i) q^{6} +(-0.577640 + 2.58192i) q^{7} +(-2.60626 - 1.09881i) q^{8} +(-1.39928 - 2.65368i) q^{9} +O(q^{10})$	\(q+(-1.40172 - 0.187532i) q^{2} +(0.894629 - 1.48312i) q^{3} +(1.92966 + 0.525737i) q^{4} +(-0.356494 + 0.617465i) q^{5} +(-1.53216 + 1.91115i) q^{6} +(-0.577640 + 2.58192i) q^{7} +(-2.60626 - 1.09881i) q^{8} +(-1.39928 - 2.65368i) q^{9} +(0.615501 - 0.798662i) q^{10} +(1.41517 + 2.45114i) q^{11} +(2.50606 - 2.39158i) q^{12} +(2.86098 + 4.95536i) q^{13} +(1.29389 - 3.51082i) q^{14} +(0.596845 + 1.08112i) q^{15} +(3.44720 + 2.02899i) q^{16} +(0.242926 + 0.140253i) q^{17} +(1.46375 + 3.98214i) q^{18} +(0.248909 - 0.143708i) q^{19} +(-1.01254 + 1.00408i) q^{20} +(3.31253 + 3.16657i) q^{21} +(-1.52401 - 3.70121i) q^{22} +(3.22597 + 1.86251i) q^{23} +(-3.96131 + 2.88237i) q^{24} +(2.24582 + 3.88988i) q^{25} +(-3.08102 - 7.48258i) q^{26} +(-5.18756 - 0.298761i) q^{27} +(-2.47206 + 4.67856i) q^{28} +(-6.84087 - 3.94958i) q^{29} +(-0.633866 - 1.62737i) q^{30} +6.41689 q^{31} +(-4.45152 - 3.49055i) q^{32} +(4.90138 + 0.0940010i) q^{33} +(-0.314213 - 0.242153i) q^{34} +(-1.38832 - 1.27711i) q^{35} +(-1.30500 - 5.85636i) q^{36} +(-3.41601 + 1.97223i) q^{37} +(-0.375852 + 0.154760i) q^{38} +(9.90890 + 0.190038i) q^{39} +(1.60760 - 1.21756i) q^{40} +(1.20899 - 0.698011i) q^{41} +(-4.04941 - 5.05987i) q^{42} +(3.07872 - 5.33250i) q^{43} +(1.44214 + 5.47388i) q^{44} +(2.13739 + 0.0820139i) q^{45} +(-4.17264 - 3.21570i) q^{46} +6.11779 q^{47} +(6.09320 - 3.29741i) q^{48} +(-6.33267 - 2.98284i) q^{49} +(-2.41855 - 5.87371i) q^{50} +(0.425340 - 0.234813i) q^{51} +(2.91551 + 11.0663i) q^{52} +(5.08040 + 2.93317i) q^{53} +(7.21550 + 1.39162i) q^{54} -2.01799 q^{55} +(4.34253 - 6.09446i) q^{56} +(0.00954565 - 0.497727i) q^{57} +(8.84834 + 6.81911i) q^{58} -1.52010i q^{59} +(0.583322 + 2.39999i) q^{60} -6.57115 q^{61} +(-8.99472 - 1.20337i) q^{62} +(7.65988 - 2.07996i) q^{63} +(5.58522 + 5.72759i) q^{64} -4.07969 q^{65} +(-6.85276 - 1.05093i) q^{66} +15.1532 q^{67} +(0.395029 + 0.398357i) q^{68} +(5.64837 - 3.11823i) q^{69} +(1.70655 + 2.05052i) q^{70} +13.9246i q^{71} +(0.730994 + 8.45374i) q^{72} +(2.10454 + 1.21506i) q^{73} +(5.15816 - 2.12392i) q^{74} +(7.77833 + 0.149176i) q^{75} +(0.555864 - 0.146447i) q^{76} +(-7.14612 + 2.23798i) q^{77} +(-13.8539 - 2.12462i) q^{78} -4.23436i q^{79} +(-2.48174 + 1.40520i) q^{80} +(-5.08403 + 7.42648i) q^{81} +(-1.82557 + 0.751695i) q^{82} +(-11.8654 - 6.85049i) q^{83} +(4.72728 + 7.85193i) q^{84} +(-0.173203 + 0.0999988i) q^{85} +(-5.31553 + 6.89733i) q^{86} +(-11.9777 + 6.61241i) q^{87} +(-0.994953 - 7.94332i) q^{88} +(5.62925 - 3.25005i) q^{89} +(-2.98065 - 0.515790i) q^{90} +(-14.4470 + 4.52442i) q^{91} +(5.24584 + 5.29003i) q^{92} +(5.74074 - 9.51701i) q^{93} +(-8.57545 - 1.14728i) q^{94} +0.204924i q^{95} +(-9.15936 + 3.47939i) q^{96} +(-3.24788 - 1.87517i) q^{97} +(8.31727 + 5.36870i) q^{98} +(4.52433 - 7.18523i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9}+O(q^{10}) $ 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9	$ 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9} - 8 q^{11} + 12 q^{12} + 10 q^{14} + 14 q^{16} - 18 q^{17} + 8 q^{18} - 6 q^{19} + 36 q^{20} - 16 q^{22} - 12 q^{24} - 78 q^{25} - 6 q^{26} + 16 q^{28} + q^{30} - 26 q^{32} - 36 q^{33} - 12 q^{34} - 12 q^{35} + 2 q^{36} - 27 q^{38} + 24 q^{40} - 42 q^{41} + 22 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} - 9 q^{48} + 2 q^{49} + 15 q^{50} + 9 q^{52} - 51 q^{54} + 14 q^{56} - 26 q^{57} + 19 q^{58} + 37 q^{60} - 8 q^{64} + 24 q^{65} + 6 q^{66} + 28 q^{67} + 12 q^{68} + 27 q^{70} - 28 q^{72} + 18 q^{73} + 49 q^{74} - 18 q^{75} - 12 q^{76} - 33 q^{78} - 63 q^{80} - 22 q^{81} - 54 q^{82} + 6 q^{83} + 31 q^{84} - 13 q^{86} + 29 q^{88} - 66 q^{89} - 51 q^{90} + 2 q^{91} - 60 q^{92} - 45 q^{96} - 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) $ 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9 - 8 * q^11 + 12 * q^12 + 10 * q^14 + 14 * q^16 - 18 * q^17 + 8 * q^18 - 6 * q^19 + 36 * q^20 - 16 * q^22 - 12 * q^24 - 78 * q^25 - 6 * q^26 + 16 * q^28 + q^30 - 26 * q^32 - 36 * q^33 - 12 * q^34 - 12 * q^35 + 2 * q^36 - 27 * q^38 + 24 * q^40 - 42 * q^41 + 22 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 - 9 * q^48 + 2 * q^49 + 15 * q^50 + 9 * q^52 - 51 * q^54 + 14 * q^56 - 26 * q^57 + 19 * q^58 + 37 * q^60 - 8 * q^64 + 24 * q^65 + 6 * q^66 + 28 * q^67 + 12 * q^68 + 27 * q^70 - 28 * q^72 + 18 * q^73 + 49 * q^74 - 18 * q^75 - 12 * q^76 - 33 * q^78 - 63 * q^80 - 22 * q^81 - 54 * q^82 + 6 * q^83 + 31 * q^84 - 13 * q^86 + 29 * q^88 - 66 * q^89 - 51 * q^90 + 2 * q^91 - 60 * q^92 - 45 * q^96 - 6 * q^97 + 31 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.40172	−	0.187532i	−0.991169	−	0.132605i
$2$	−1.40172	−	0.187532i	−0.991169	−	0.132605i
$3$	0.894629	−	1.48312i	0.516514	−	0.856279i
$3$	0.894629	−	1.48312i	0.516514	−	0.856279i
$4$	1.92966	+	0.525737i	0.964832	+	0.262869i
$5$	−0.356494	+	0.617465i	−0.159429	+	0.276139i	−0.934663	−	0.355535i	$-0.884299\pi$
$5$	−0.356494	+	0.617465i	−0.159429	+	0.276139i	0.775234	+	0.631674i	$0.217632\pi$
$6$	−1.53216	+	1.91115i	−0.625500	+	0.780224i
$7$	−0.577640	+	2.58192i	−0.218327	+	0.975876i
$7$	−0.577640	+	2.58192i	−0.218327	+	0.975876i
$8$	−2.60626	−	1.09881i	−0.921453	−	0.388489i
$9$	−1.39928	−	2.65368i	−0.466426	−	0.884560i
$10$	0.615501	−	0.798662i	0.194638	−	0.252559i
$11$	1.41517	+	2.45114i	0.426689	+	0.739047i	0.996577	−	0.0826757i	$-0.0263466\pi$
$11$	1.41517	+	2.45114i	0.426689	+	0.739047i	−0.569888	+	0.821723i	$0.693013\pi$
$12$	2.50606	−	2.39158i	0.723438	−	0.690389i
$13$	2.86098	+	4.95536i	0.793493	+	1.37437i	0.923792	+	0.382896i	$0.125073\pi$
$13$	2.86098	+	4.95536i	0.793493	+	1.37437i	−0.130298	+	0.991475i	$0.541594\pi$
$14$	1.29389	−	3.51082i	0.345805	−	0.938306i
$15$	0.596845	+	1.08112i	0.154105	+	0.279145i
$16$	3.44720	+	2.02899i	0.861800	+	0.507248i
$17$	0.242926	+	0.140253i	0.0589181	+	0.0340164i	0.529170	−	0.848516i	$-0.322503\pi$
$17$	0.242926	+	0.140253i	0.0589181	+	0.0340164i	−0.470252	+	0.882532i	$0.655837\pi$
$18$	1.46375	+	3.98214i	0.345010	+	0.938599i
$19$	0.248909	−	0.143708i	0.0571038	−	0.0329689i	−0.471176	−	0.882039i	$-0.656170\pi$
$19$	0.248909	−	0.143708i	0.0571038	−	0.0329689i	0.528280	+	0.849070i	$0.322837\pi$
$20$	−1.01254	+	1.00408i	−0.226410	+	0.224519i
$21$	3.31253	+	3.16657i	0.722852	+	0.691002i
$22$	−1.52401	−	3.70121i	−0.324919	−	0.789102i
$23$	3.22597	+	1.86251i	0.672661	+	0.388361i	0.797084	−	0.603868i	$-0.206375\pi$
$23$	3.22597	+	1.86251i	0.672661	+	0.388361i	−0.124423	+	0.992229i	$0.539708\pi$
$24$	−3.96131	+	2.88237i	−0.808598	+	0.588361i
$25$	2.24582	+	3.88988i	0.449165	+	0.777976i
$26$	−3.08102	−	7.48258i	−0.604237	−	1.46745i
$27$	−5.18756	−	0.298761i	−0.998346	−	0.0574966i
$28$	−2.47206	+	4.67856i	−0.467176	+	0.884164i
$29$	−6.84087	−	3.94958i	−1.27032	−	0.733418i	−0.295270	−	0.955414i	$-0.595410\pi$
$29$	−6.84087	−	3.94958i	−1.27032	−	0.733418i	−0.975048	+	0.221996i	$0.928743\pi$
$30$	−0.633866	−	1.62737i	−0.115728	−	0.297115i
$31$	6.41689			1.15251			0.576254	−	0.817271i	$-0.304514\pi$
$31$	6.41689			1.15251			0.576254	+	0.817271i	$0.304514\pi$
$32$	−4.45152	−	3.49055i	−0.786926	−	0.617048i
$33$	4.90138	+	0.0940010i	0.853221	+	0.0163635i
$34$	−0.314213	−	0.242153i	−0.0538871	−	0.0415289i
$35$	−1.38832	−	1.27711i	−0.234670	−	0.215871i
$36$	−1.30500	−	5.85636i	−0.217500	−	0.976060i
$37$	−3.41601	+	1.97223i	−0.561588	+	0.324233i	−0.753783	−	0.657124i	$-0.771773\pi$
$37$	−3.41601	+	1.97223i	−0.561588	+	0.324233i	0.192194	+	0.981357i	$0.438440\pi$
$38$	−0.375852	+	0.154760i	−0.0609713	+	0.0251055i
$39$	9.90890	+	0.190038i	1.58669	+	0.0304304i
$40$	1.60760	−	1.21756i	0.254183	−	0.192513i
$41$	1.20899	−	0.698011i	0.188813	−	0.109011i	−0.402614	−	0.915370i	$-0.631898\pi$
$41$	1.20899	−	0.698011i	0.188813	−	0.109011i	0.591427	+	0.806359i	$0.298565\pi$
$42$	−4.04941	−	5.05987i	−0.624838	−	0.780754i
$43$	3.07872	−	5.33250i	0.469500	−	0.813198i	−0.529892	−	0.848065i	$-0.677767\pi$
$43$	3.07872	−	5.33250i	0.469500	−	0.813198i	0.999392	+	0.0348671i	$0.0111008\pi$
$44$	1.44214	+	5.47388i	0.217411	+	0.825219i
$45$	2.13739	+	0.0820139i	0.318623	+	0.0122259i
$46$	−4.17264	−	3.21570i	−0.615222	−	0.474130i
$47$	6.11779			0.892371			0.446185	−	0.894941i	$-0.352782\pi$
$47$	6.11779			0.892371			0.446185	+	0.894941i	$0.352782\pi$
$48$	6.09320	−	3.29741i	0.879477	−	0.475941i
$49$	−6.33267	−	2.98284i	−0.904666	−	0.426120i
$50$	−2.41855	−	5.87371i	−0.342034	−	0.830668i
$51$	0.425340	−	0.234813i	0.0595596	−	0.0328804i
$52$	2.91551	+	11.0663i	0.404309	+	1.53462i
$53$	5.08040	+	2.93317i	0.697847	+	0.402902i	0.806545	−	0.591173i	$-0.201335\pi$
$53$	5.08040	+	2.93317i	0.697847	+	0.402902i	−0.108698	+	0.994075i	$0.534668\pi$
$54$	7.21550	+	1.39162i	0.981905	+	0.189375i
$55$	−2.01799			−0.272106
$56$	4.34253	−	6.09446i	0.580295	−	0.814406i
$57$	0.00954565	−	0.497727i	0.00126435	−	0.0659256i
$58$	8.84834	+	6.81911i	1.16184	+	0.895392i
$59$		−	1.52010i		−	0.197901i	−0.995092	−	0.0989504i	$-0.968451\pi$
$59$		−	1.52010i		−	0.197901i	0.995092	−	0.0989504i	$-0.0315485\pi$
$60$	0.583322	+	2.39999i	0.0753065	+	0.309837i
$61$	−6.57115			−0.841350			−0.420675	−	0.907211i	$-0.638207\pi$
$61$	−6.57115			−0.841350			−0.420675	+	0.907211i	$0.638207\pi$
$62$	−8.99472	−	1.20337i	−1.14233	−	0.152829i
$63$	7.65988	−	2.07996i	0.965054	−	0.262051i
$64$	5.58522	+	5.72759i	0.698153	+	0.715949i
$65$	−4.07969			−0.506023
$66$	−6.85276	−	1.05093i	−0.843516	−	0.129361i
$67$	15.1532			1.85125			0.925627	−	0.378438i	$-0.123539\pi$
$67$	15.1532			1.85125			0.925627	+	0.378438i	$0.123539\pi$
$68$	0.395029	+	0.398357i	0.0479042	+	0.0483078i
$69$	5.64837	−	3.11823i	0.679984	−	0.375391i
$70$	1.70655	+	2.05052i	0.203971	+	0.245083i
$71$			13.9246i			1.65254i	0.563271	+	0.826272i	$0.309543\pi$
$71$			13.9246i			1.65254i	−0.563271	+	0.826272i	$0.690457\pi$
$72$	0.730994	+	8.45374i	0.0861484	+	0.996282i
$73$	2.10454	+	1.21506i	0.246318	+	0.142212i	0.618077	−	0.786117i	$-0.287912\pi$
$73$	2.10454	+	1.21506i	0.246318	+	0.142212i	−0.371759	+	0.928329i	$0.621245\pi$
$74$	5.15816	−	2.12392i	0.599624	−	0.246900i
$75$	7.77833	+	0.149176i	0.898165	+	0.0172254i
$76$	0.555864	−	0.146447i	0.0637620	−	0.0167986i
$77$	−7.14612	+	2.23798i	−0.814376	+	0.255041i
$78$	−13.8539	−	2.12462i	−1.56865	−	0.240566i
$79$		−	4.23436i		−	0.476403i	−0.971216	−	0.238201i	$-0.923442\pi$
$79$		−	4.23436i		−	0.476403i	0.971216	−	0.238201i	$-0.0765578\pi$
$80$	−2.48174	+	1.40520i	−0.277467	+	0.157107i
$81$	−5.08403	+	7.42648i	−0.564893	+	0.825164i
$82$	−1.82557	+	0.751695i	−0.201601	+	0.0830108i
$83$	−11.8654	−	6.85049i	−1.30240	−	0.751939i	−0.321582	−	0.946882i	$-0.604215\pi$
$83$	−11.8654	−	6.85049i	−1.30240	−	0.751939i	−0.980815	+	0.194943i	$0.937548\pi$
$84$	4.72728	+	7.85193i	0.515788	+	0.856716i
$85$	−0.173203	+	0.0999988i	−0.0187865	+	0.0108464i
$86$	−5.31553	+	6.89733i	−0.573188	+	0.743759i
$87$	−11.9777	+	6.61241i	−1.28415	+	0.708925i
$88$	−0.994953	−	7.94332i	−0.106062	−	0.846761i
$89$	5.62925	−	3.25005i	0.596699	−	0.344504i	−0.171043	−	0.985264i	$-0.554714\pi$
$89$	5.62925	−	3.25005i	0.596699	−	0.344504i	0.767742	+	0.640759i	$0.221380\pi$
$90$	−2.98065	−	0.515790i	−0.314188	−	0.0543691i
$91$	−14.4470	+	4.52442i	−1.51446	+	0.474288i
$92$	5.24584	+	5.29003i	0.546917	+	0.551524i
$93$	5.74074	−	9.51701i	0.595287	−	0.986868i
$94$	−8.57545	−	1.14728i	−0.884490	−	0.118333i
$95$			0.204924i			0.0210248i
$96$	−9.15936	+	3.47939i	−0.934823	+	0.355114i
$97$	−3.24788	−	1.87517i	−0.329773	−	0.190394i	0.325967	−	0.945381i	$-0.394310\pi$
$97$	−3.24788	−	1.87517i	−0.329773	−	0.190394i	−0.655740	+	0.754987i	$0.727643\pi$
$98$	8.31727	+	5.36870i	0.840171	+	0.542321i
$99$	4.52433	−	7.18523i	0.454712	−	0.722143i
$100$	2.28863	+	8.68688i	0.228863	+	0.868688i
$101$	−8.53112	−	14.7763i	−0.848878	−	1.47030i	−0.882210	−	0.470856i	$-0.843945\pi$
$101$	−8.53112	−	14.7763i	−0.848878	−	1.47030i	0.0333320	−	0.999444i	$-0.489388\pi$
$102$	−0.640245	+	0.249378i	−0.0633937	+	0.0246921i
$103$	−0.598972	+	1.03745i	−0.0590185	+	0.102223i	−0.894025	−	0.448017i	$-0.852130\pi$
$103$	−0.598972	+	1.03745i	−0.0590185	+	0.102223i	0.835007	+	0.550240i	$0.185464\pi$
$104$	−2.01145	−	16.0587i	−0.197239	−	1.57468i
$105$	−3.13614	+	0.916507i	−0.306056	+	0.0894419i
$106$	−6.57126	−	5.06424i	−0.638257	−	0.491882i
$107$	8.89109	+	15.3998i	0.859534	+	1.48876i	0.872374	+	0.488839i	$0.162579\pi$
$107$	8.89109	+	15.3998i	0.859534	+	1.48876i	−0.0128401	+	0.999918i	$0.504087\pi$
$108$	−9.85317	−	3.30380i	−0.948121	−	0.317908i
$109$	−14.9149	−	8.61112i	−1.42859	−	0.824795i	−0.431578	−	0.902076i	$-0.642043\pi$
$109$	−14.9149	−	8.61112i	−1.42859	−	0.824795i	−0.997009	+	0.0772802i	$0.975376\pi$
$110$	2.82867	+	0.378439i	0.269703	+	0.0360827i
$111$	−0.131004	+	6.83076i	−0.0124343	+	0.648347i
$112$	−7.22994	+	7.72839i	−0.683165	+	0.730264i
$113$	2.06972	+	3.58486i	0.194703	+	0.337236i	0.946803	−	0.321813i	$-0.104292\pi$
$113$	2.06972	+	3.58486i	0.194703	+	0.337236i	−0.752100	+	0.659049i	$0.770959\pi$
$114$	−0.106720	+	0.695887i	−0.00999527	+	0.0651758i
$115$	−2.30007	+	1.32795i	−0.214483	+	0.123832i
$116$	−11.1241	−	11.2179i	−1.03285	−	1.04155i
$117$	9.14664	−	14.5261i	0.845607	−	1.34294i
$118$	−0.285069	+	2.13077i	−0.0262427	+	0.196153i
$119$	−0.502447	+	0.546200i	−0.0460592	+	0.0500701i
$120$	−0.367581	−	3.47352i	−0.0335554	−	0.317087i
$121$	1.49460	−	2.58873i	0.135873	−	0.235339i
$122$	9.21094	+	1.23230i	0.833920	+	0.111567i
$123$	0.0463647	−	2.41754i	0.00418056	−	0.217982i
$124$	12.3824	+	3.37360i	1.11198	+	0.302958i
$125$	−6.76743			−0.605297
$126$	−11.1271	+	1.47906i	−0.991281	+	0.131765i
$127$		−	16.9073i		−	1.50028i	−0.661281	−	0.750138i	$-0.729987\pi$
$127$		−	16.9073i		−	1.50028i	0.661281	−	0.750138i	$-0.270013\pi$
$128$	−6.75483	−	9.07592i	−0.597048	−	0.802205i
$129$	−5.15441	−	9.33671i	−0.453821	−	0.822051i
$130$	5.71860	+	0.765073i	0.501554	+	0.0671013i
$131$	2.51717	+	1.45329i	0.219927	+	0.126975i	0.605916	−	0.795528i	$-0.292807\pi$
$131$	2.51717	+	1.45329i	0.219927	+	0.126975i	−0.385990	+	0.922503i	$0.626140\pi$
$132$	9.40860	+	2.75823i	0.818913	+	0.240073i
$133$	0.227263	+	0.725677i	0.0197062	+	0.0629242i
$134$	−21.2406	−	2.84171i	−1.83490	−	0.245486i
$135$	2.03381	−	3.09663i	0.175042	−	0.266515i
$136$	−0.479016	−	0.632467i	−0.0410753	−	0.0542336i
$137$	2.38214	+	4.12599i	0.203520	+	0.352507i	0.949660	−	0.313282i	$-0.101428\pi$
$137$	2.38214	+	4.12599i	0.203520	+	0.352507i	−0.746140	+	0.665789i	$0.768095\pi$
$138$	−8.50223	+	3.31165i	−0.723758	+	0.281907i
$139$	−12.1992	+	7.04321i	−1.03472	+	0.597397i	−0.918334	−	0.395807i	$-0.870465\pi$
$139$	−12.1992	+	7.04321i	−1.03472	+	0.597397i	−0.116388	+	0.993204i	$0.537132\pi$
$140$	−2.00757	−	3.19429i	−0.169671	−	0.269967i
$141$	5.47315	−	9.07340i	0.460922	−	0.764118i
$142$	2.61131	−	19.5184i	0.219136	−	1.63795i
$143$	−8.09753	+	14.0253i	−0.677150	+	1.17286i
$144$	0.560697	−	11.9869i	0.0467247	−	0.998908i
$145$	4.87746	−	2.81600i	0.405051	−	0.233856i
$146$	−2.72213	−	2.09785i	−0.225285	−	0.173619i
$147$	−10.0893	+	6.72355i	−0.832151	+	0.554549i
$148$	−7.62862	+	2.00982i	−0.627069	+	0.165207i
$149$	−0.859327	−	0.496133i	−0.0703988	−	0.0406448i	0.464387	−	0.885632i	$-0.346275\pi$
$149$	−0.859327	−	0.496133i	−0.0703988	−	0.0406448i	−0.534786	+	0.844987i	$0.679608\pi$
$150$	−10.8751	−	1.66779i	−0.887949	−	0.136175i
$151$	−6.07267	+	3.50606i	−0.494187	+	0.285319i	−0.726310	−	0.687368i	$-0.758766\pi$
$151$	−6.07267	+	3.50606i	−0.494187	+	0.285319i	0.232123	+	0.972686i	$0.425433\pi$
$152$	−0.806632	+	0.101036i	−0.0654265	+	0.00819509i
$153$	0.0322662	−	0.840901i	0.00260857	−	0.0679828i
$154$	10.4366	−	1.79690i	0.841004	−	0.144798i
$155$	−2.28758	+	3.96221i	−0.183743	+	0.318252i
$156$	19.0209	+	5.57619i	1.52289	+	0.446452i
$157$	−5.96499			−0.476058			−0.238029	−	0.971258i	$-0.576501\pi$
$157$	−5.96499			−0.476058			−0.238029	+	0.971258i	$0.576501\pi$
$158$	−0.794079	+	5.93541i	−0.0631735	+	0.472196i
$159$	8.89531	−	4.91074i	0.705444	−	0.389447i
$160$	3.74223	−	1.50430i	0.295850	−	0.118926i
$161$	−6.67231	+	7.25334i	−0.525852	+	0.571643i
$162$	8.51912	−	9.45646i	0.669325	−	0.742969i
$163$	1.95078	+	3.37885i	0.152797	+	0.264652i	0.932255	−	0.361803i	$-0.117839\pi$
$163$	1.95078	+	3.37885i	0.152797	+	0.264652i	−0.779458	+	0.626455i	$0.784505\pi$
$164$	2.69992	−	0.711315i	0.210828	−	0.0555444i
$165$	−1.80535	+	2.99292i	−0.140547	+	0.232999i
$166$	15.3473	+	11.8276i	1.19118	+	0.918003i
$167$	5.12924	+	8.88411i	0.396913	+	0.687473i	0.993343	−	0.115192i	$-0.0367483\pi$
$167$	5.12924	+	8.88411i	0.396913	+	0.687473i	−0.596431	+	0.802665i	$0.703415\pi$
$168$	−5.15385	−	11.8928i	−0.397628	−	0.917547i
$169$	−9.87042	+	17.0961i	−0.759263	+	1.31508i
$170$	0.261536	−	0.107690i	0.0200589	−	0.00825942i
$171$	−0.729649	−	0.459439i	−0.0557976	−	0.0351341i
$172$	8.74438	−	8.67133i	0.666753	−	0.661182i
$173$	−19.5273			−1.48464			−0.742318	−	0.670048i	$-0.766274\pi$
$173$	−19.5273			−1.48464			−0.742318	+	0.670048i	$0.766274\pi$
$174$	18.0295	−	7.02257i	1.36681	−	0.532380i
$175$	−11.3407	+	3.55160i	−0.857273	+	0.268476i
$176$	−0.0949794	+	11.3209i	−0.00715934	+	0.853348i
$177$	−2.25450	−	1.35993i	−0.169458	−	0.102219i
$178$	−8.50014	+	3.50001i	−0.637113	+	0.262337i
$179$	2.31494	−	4.00959i	0.173027	−	0.299691i	−0.766450	−	0.642304i	$-0.777979\pi$
$179$	2.31494	−	4.00959i	0.173027	−	0.299691i	0.939477	+	0.342613i	$0.111312\pi$
$180$	4.08133	+	1.28196i	0.304204	+	0.0955520i
$181$	−17.5422			−1.30390			−0.651950	−	0.758262i	$-0.726049\pi$
$181$	−17.5422			−1.30390			−0.651950	+	0.758262i	$0.726049\pi$
$182$	21.0992	−	3.63272i	1.56397	−	0.269275i
$183$	−5.87874	+	9.74579i	−0.434569	+	0.720430i
$184$	−6.36117	−	8.39894i	−0.468952	−	0.619178i
$185$		−	2.81236i		−	0.206769i
$186$	−9.83168	+	12.2637i	−0.720893	+	0.899215i
$187$			0.793927i			0.0580577i
$188$	11.8053	+	3.21635i	0.860988	+	0.234576i
$189$	3.76792	−	13.2213i	0.274076	−	0.961708i
$190$	0.0384299	−	0.287247i	0.00278800	−	0.0208391i
$191$			14.1202i			1.02170i	0.859669	+	0.510851i	$0.170670\pi$
$191$			14.1202i			1.02170i	−0.859669	+	0.510851i	$0.829330\pi$
$192$	13.4914	−	3.15948i	0.973658	−	0.228015i
$193$	11.5461			0.831104			0.415552	−	0.909570i	$-0.363589\pi$
$193$	11.5461			0.831104			0.415552	+	0.909570i	$0.363589\pi$
$194$	4.20099	+	3.23755i	0.301613	+	0.232443i
$195$	−3.64980	+	6.05066i	−0.261368	+	0.433297i
$196$	−10.6517	−	9.08520i	−0.760837	−	0.648943i
$197$			10.7590i			0.766549i	0.923635	+	0.383274i	$0.125204\pi$
$197$			10.7590i			0.766549i	−0.923635	+	0.383274i	$0.874796\pi$
$198$	−7.68933	+	9.22326i	−0.546457	+	0.655468i
$199$	8.92219	−	15.4537i	0.632477	−	1.09548i	−0.354567	−	0.935031i	$-0.615372\pi$
$199$	8.92219	−	15.4537i	0.632477	−	1.09548i	0.987044	−	0.160452i	$-0.0512951\pi$
$200$	−1.57896	−	12.6058i	−0.111649	−	0.891365i
$201$	13.5565	−	22.4739i	0.956198	−	1.58519i
$202$	9.18724	+	22.3122i	0.646412	+	1.56988i
$203$	14.1491	−	15.3812i	0.993070	−	1.07955i
$204$	0.944214	−	0.229493i	0.0661082	−	0.0160677i
$205$			0.995347i			0.0695180i
$206$	1.03415	−	1.34189i	0.0720526	−	0.0934941i
$207$	0.428484	−	11.1669i	0.0297817	−	0.776151i
$208$	−0.192016	+	22.8870i	−0.0133139	+	1.58693i
$209$	0.704497	+	0.406742i	0.0487311	+	0.0281349i
$210$	4.56788	−	0.696563i	0.315214	−	0.0480674i
$211$	−4.67082	−	8.09010i	−0.321553	−	0.556945i	0.659256	−	0.751919i	$-0.270871\pi$
$211$	−4.67082	−	8.09010i	−0.321553	−	0.556945i	−0.980809	+	0.194973i	$0.937538\pi$
$212$	8.26139	+	8.33099i	0.567394	+	0.572175i
$213$	20.6518	+	12.4573i	1.41504	+	0.853563i
$214$	−9.57489	−	23.2537i	−0.654526	−	1.58959i
$215$	2.19509	+	3.80200i	0.149704	+	0.259295i
$216$	13.1919	+	6.47880i	0.897592	+	0.440827i
$217$	−3.70665	+	16.5679i	−0.251624	+	1.12470i
$218$	19.2917	+	14.8674i	1.30660	+	1.00695i
$219$	3.68486	−	2.03426i	0.249000	−	0.137463i
$220$	−3.89405	−	1.06093i	−0.262537	−	0.0715282i
$221$			1.60505i			0.107967i
$222$	1.46462	−	9.55028i	0.0982988	−	0.640973i
$223$	2.76736	−	4.79321i	0.185316	−	0.320977i	−0.758367	−	0.651828i	$-0.774002\pi$
$223$	2.76736	−	4.79321i	0.185316	−	0.320977i	0.943683	+	0.330851i	$0.107336\pi$
$224$	11.5837	−	9.47722i	0.773969	−	0.633223i
$225$	7.17997	−	11.4027i	0.478664	−	0.760182i
$226$	−2.22890	−	5.41313i	−0.148264	−	0.360076i
$227$	23.8475	−	13.7684i	1.58282	−	0.913839i	0.588370	−	0.808592i	$-0.299770\pi$
$227$	23.8475	−	13.7684i	1.58282	−	0.913839i	0.994446	−	0.105247i	$-0.0335634\pi$
$228$	0.280094	−	0.955428i	0.0185497	−	0.0632748i
$229$	0.714978	−	1.23838i	0.0472471	−	0.0818344i	−0.841435	−	0.540359i	$-0.818289\pi$
$229$	0.714978	−	1.23838i	0.0472471	−	0.0818344i	0.888682	+	0.458524i	$0.151622\pi$
$230$	3.47310	−	1.43008i	0.229010	−	0.0942967i
$231$	−3.07394	+	12.6007i	−0.202250	+	0.829065i
$232$	13.4893	+	17.8105i	0.885614	+	1.16932i
$233$	3.51201	+	6.08298i	0.230079	+	0.398509i	0.957831	−	0.287331i	$-0.0927680\pi$
$233$	3.51201	+	6.08298i	0.230079	+	0.398509i	−0.727752	+	0.685841i	$0.759435\pi$
$234$	−15.5452	+	18.6463i	−1.01622	+	1.21894i
$235$	−2.18095	+	3.77752i	−0.142270	+	0.246418i
$236$	0.799176	−	2.93329i	0.0520219	−	0.190941i
$237$	−6.28006	−	3.78818i	−0.407934	−	0.246069i
$238$	0.806722	−	0.671397i	0.0522920	−	0.0435202i
$239$	19.1036	−	11.0295i	1.23571	−	0.713438i	0.267496	−	0.963559i	$-0.413804\pi$
$239$	19.1036	−	11.0295i	1.23571	−	0.713438i	0.968215	+	0.250121i	$0.0804704\pi$
$240$	−0.136149	+	4.93785i	−0.00878840	+	0.318737i
$241$	14.5597	−	8.40607i	0.937875	−	0.541482i	0.0485813	−	0.998819i	$-0.484530\pi$
$241$	14.5597	−	8.40607i	0.937875	−	0.541482i	0.889293	+	0.457337i	$0.151197\pi$
$242$	−2.58049	+	3.34840i	−0.165880	+	0.215243i
$243$	6.46602	+	14.1842i	0.414796	+	0.909915i
$244$	−12.6801	−	3.45470i	−0.811761	−	0.221164i
$245$	4.09936	−	2.84684i	0.261898	−	0.181878i
$246$	−0.518357	+	3.38003i	−0.0330492	+	0.215503i
$247$	1.42425	+	0.822291i	0.0906229	+	0.0523211i
$248$	−16.7241	−	7.05096i	−1.06198	−	0.447737i
$249$	−20.7752	+	11.4691i	−1.31658	+	0.726827i
$250$	9.48607	+	1.26911i	0.599952	+	0.0802656i
$251$		−	21.2799i		−	1.34317i	−0.740925	−	0.671587i	$-0.765613\pi$
$251$		−	21.2799i		−	1.34317i	0.740925	−	0.671587i	$-0.234387\pi$
$252$	15.8745	+	0.0134553i	1.00000	+	0.000847601i
$253$			10.5431i			0.662837i
$254$	−3.17066	+	23.6993i	−0.198945	+	1.48703i
$255$	−0.00664232	+	0.346342i	−0.000415958	+	0.0216888i
$256$	7.76639	+	13.9887i	0.485399	+	0.874293i
$257$	−12.6802	−	7.32093i	−0.790970	−	0.456667i	0.0493336	−	0.998782i	$-0.484290\pi$
$257$	−12.6802	−	7.32093i	−0.790970	−	0.456667i	−0.840304	+	0.542115i	$0.817624\pi$
$258$	5.47413	+	14.0541i	0.340805	+	0.874971i
$259$	−3.11894	−	9.95912i	−0.193801	−	0.618829i
$260$	−7.87242	−	2.14484i	−0.488227	−	0.133018i
$261$	−0.908628	+	23.6800i	−0.0562427	+	1.46576i
$262$	−3.25585	−	2.50917i	−0.201147	−	0.155017i
$263$	−7.44710	+	4.29958i	−0.459208	+	0.265124i	−0.711711	−	0.702472i	$-0.752079\pi$
$263$	−7.44710	+	4.29958i	−0.459208	+	0.265124i	0.252503	+	0.967596i	$0.418746\pi$
$264$	−12.6710	−	5.63069i	−0.779846	−	0.346545i
$265$	−3.62226	+	2.09131i	−0.222514	+	0.128468i
$266$	−0.182472	−	1.05982i	−0.0111881	−	0.0649816i
$267$	0.215881	−	11.2564i	0.0132117	−	0.688882i
$268$	29.2405	+	7.96658i	1.78615	+	0.486636i
$269$	5.58973	−	9.68170i	0.340812	−	0.590304i	−0.643772	−	0.765218i	$-0.722631\pi$
$269$	5.58973	−	9.68170i	0.340812	−	0.590304i	0.984584	+	0.174914i	$0.0559647\pi$
$270$	−3.43155	+	3.95922i	−0.208838	+	0.240950i
$271$	−13.9132	−	24.0984i	−0.845169	−	1.46388i	−0.885474	−	0.464689i	$-0.846166\pi$
$271$	−13.9132	−	24.0984i	−0.845169	−	1.46388i	0.0403045	−	0.999187i	$-0.487167\pi$
$272$	0.552841	+	0.976375i	0.0335209	+	0.0592015i
$273$	−6.21444	+	25.4743i	−0.376115	+	1.54177i
$274$	−2.56535	−	6.23023i	−0.154978	−	0.376382i
$275$	−6.35643	+	11.0097i	−0.383307	+	0.663908i
$276$	12.5388	−	3.04758i	0.754749	−	0.183443i
$277$	20.8327	−	12.0278i	1.25172	−	0.722680i	0.280268	−	0.959922i	$-0.409577\pi$
$277$	20.8327	−	12.0278i	1.25172	−	0.722680i	0.971451	+	0.237242i	$0.0762434\pi$
$278$	18.4207	−	7.58490i	1.10480	−	0.454912i
$279$	−8.97903	−	17.0284i	−0.537560	−	1.01946i
$280$	2.21503	+	4.85400i	0.132373	+	0.290082i
$281$	−12.1563	+	21.0554i	−0.725186	+	1.25606i	0.233712	+	0.972306i	$0.424913\pi$
$281$	−12.1563	+	21.0554i	−0.725186	+	1.25606i	−0.958898	+	0.283752i	$0.908421\pi$
$282$	−9.37340	+	11.6920i	−0.558178	+	0.696249i
$283$			13.7601i			0.817954i	0.912545	+	0.408977i	$0.134114\pi$
$283$			13.7601i			0.817954i	−0.912545	+	0.408977i	$0.865886\pi$
$284$	−7.32067	+	26.8698i	−0.434402	+	1.59443i
$285$	0.303926	+	0.183331i	0.0180031	+	0.0108596i
$286$	13.9807	−	18.1411i	0.826697	−	1.07271i
$287$	1.10385	+	3.52472i	0.0651583	+	0.208058i
$288$	−3.03387	+	16.6972i	−0.178773	+	0.983890i
$289$	−8.46066	−	14.6543i	−0.497686	−	0.862017i
$290$	−7.36494	+	3.03258i	−0.432484	+	0.178079i
$291$	−5.68675	+	3.13942i	−0.333363	+	0.184036i
$292$	3.42226	+	3.45109i	0.200273	+	0.201960i
$293$	3.20765	+	5.55582i	0.187393	+	0.324574i	0.944380	−	0.328855i	$-0.106663\pi$
$293$	3.20765	+	5.55582i	0.187393	+	0.324574i	−0.756987	+	0.653430i	$0.773330\pi$
$294$	15.4033	−	7.53250i	0.898338	−	0.439305i
$295$	0.938612	+	0.541908i	0.0546481	+	0.0315511i
$296$	11.0701	−	1.38661i	0.643439	−	0.0805949i
$297$	−6.60895	−	13.1382i	−0.383490	−	0.762358i
$298$	1.11150	+	0.856593i	0.0643874	+	0.0496211i
$299$			21.3145i			1.23265i
$300$	14.9311	+	4.37722i	0.862050	+	0.252719i
$301$	11.9897	+	11.0293i	0.691076	+	0.635717i
$302$	9.16970	−	3.77570i	0.527657	−	0.217267i
$303$	−29.5472	−	0.566671i	−1.69744	−	0.0325544i
$304$	1.14962	+	0.00964501i	0.0659354	+	0.000553179i
$305$	2.34257	−	4.05746i	0.134135	−	0.232329i
$306$	−0.202924	+	1.17266i	−0.0116004	+	0.0670365i
$307$		−	14.1624i		−	0.808291i	−0.914695	−	0.404145i	$-0.867569\pi$
$307$		−	14.1624i		−	0.808291i	0.914695	−	0.404145i	$-0.132431\pi$
$308$	−14.9662	+	0.561565i	−0.852778	+	0.0319981i
$309$	1.00280	+	1.81648i	0.0570475	+	0.103336i
$310$	3.94960	−	5.12493i	0.224322	−	0.291076i
$311$	15.0224			0.851843			0.425921	−	0.904760i	$-0.359950\pi$
$311$	15.0224			0.851843			0.425921	+	0.904760i	$0.359950\pi$
$312$	−25.6164	−	11.3833i	−1.45024	−	0.644454i
$313$		−	31.2650i		−	1.76720i	−0.468238	−	0.883602i	$-0.655111\pi$
$313$		−	31.2650i		−	1.76720i	0.468238	−	0.883602i	$-0.344889\pi$
$314$	8.36127	+	1.11863i	0.471854	+	0.0631278i
$315$	−1.44639	+	5.47120i	−0.0814951	+	0.308267i
$316$	2.22616	−	8.17089i	0.125231	−	0.459648i
$317$		−	19.9120i		−	1.11837i	−0.829043	−	0.559185i	$-0.811114\pi$
$317$		−	19.9120i		−	1.11837i	0.829043	−	0.559185i	$-0.188886\pi$
$318$	−13.3897	+	5.21534i	−0.750857	+	0.292462i
$319$		−	22.3573i		−	1.25177i
$320$	−5.52769	+	1.40683i	−0.309007	+	0.0786442i
$321$	30.7940	+	0.590581i	1.71875	+	0.0329630i
$322$	10.7130	−	8.91591i	0.597011	−	0.496864i
$323$	0.0806220			0.00448593
$324$	−13.7149	+	11.6577i	−0.761936	+	0.647652i
$325$	−12.8505	+	22.2578i	−0.712819	+	1.23464i
$326$	−2.10081	−	5.10206i	−0.116353	−	0.282577i
$327$	−26.1146	+	14.4168i	−1.44414	+	0.797251i
$328$	−3.91793	+	0.490747i	−0.216332	+	0.0270970i
$329$	−3.53388	+	15.7957i	−0.194829	+	0.870843i
$330$	3.09188	−	3.85669i	0.170202	−	0.212304i
$331$	−13.6931			−0.752642			−0.376321	−	0.926489i	$-0.622811\pi$
$331$	−13.6931			−0.752642			−0.376321	+	0.926489i	$0.622811\pi$
$332$	−19.2947	−	19.4572i	−1.05893	−	1.06785i
$333$	10.0136	+	6.30529i	0.548743	+	0.345528i
$334$	−5.52373	−	13.4150i	−0.302245	−	0.734034i
$335$	−5.40201	+	9.35655i	−0.295143	+	0.511203i
$336$	4.99400	+	17.6369i	0.272445	+	0.962171i
$337$	14.0145	+	24.2738i	0.763419	+	1.32228i	0.941078	+	0.338188i	$0.109814\pi$
$337$	14.0145	+	24.2738i	0.763419	+	1.32228i	−0.177659	+	0.984092i	$0.556853\pi$
$338$	17.0417	−	22.1130i	0.926945	−	1.20279i
$339$	7.16841	+	0.137479i	0.389334	+	0.00746684i
$340$	−0.386797	+	0.101905i	−0.0209770	+	0.00552656i
$341$	9.08098	+	15.7287i	0.491762	+	0.851757i
$342$	0.936607	+	0.780839i	0.0506459	+	0.0422229i
$343$	11.3595	−	14.6275i	0.613354	−	0.789808i
$344$	−13.8834	+	10.5150i	−0.748541	+	0.566929i
$345$	−0.0882076	+	4.59930i	−0.00474894	+	0.247618i
$346$	27.3719	+	3.66201i	1.47153	+	0.196871i
$347$	−17.5368			−0.941426			−0.470713	−	0.882286i	$-0.656003\pi$
$347$	−17.5368			−0.941426			−0.470713	+	0.882286i	$0.656003\pi$
$348$	−26.5894	+	6.46259i	−1.42534	+	0.346431i
$349$	7.81454	−	13.5352i	0.418303	−	0.724521i	−0.577466	−	0.816415i	$-0.695959\pi$
$349$	7.81454	−	13.5352i	0.418303	−	0.724521i	0.995769	+	0.0918932i	$0.0292918\pi$
$350$	16.5625	−	2.85162i	0.885304	−	0.152426i
$351$	−13.3610	−	26.5610i	−0.713159	−	1.41772i
$352$	2.25618	−	15.8510i	0.120255	−	0.844863i
$353$	24.0382	−	13.8784i	1.27942	−	0.738675i	0.302680	−	0.953092i	$-0.402119\pi$
$353$	24.0382	−	13.8784i	1.27942	−	0.738675i	0.976742	+	0.214417i	$0.0687852\pi$
$354$	2.90515	+	2.32904i	0.154407	+	0.123787i
$355$	−8.59795	−	4.96403i	−0.456332	−	0.263463i
$356$	12.5712	−	3.31199i	0.666273	−	0.175535i
$357$	0.360576	+	1.23383i	0.0190837	+	0.0653014i
$358$	−3.99683	+	5.18622i	−0.211239	+	0.274100i
$359$	26.2761	−	15.1705i	1.38680	−	0.800668i	0.393845	−	0.919177i	$-0.371145\pi$
$359$	26.2761	−	15.1705i	1.38680	−	0.800668i	0.992953	+	0.118508i	$0.0378112\pi$
$360$	−5.48048	−	2.56234i	−0.288847	−	0.135047i
$361$	−9.45870	+	16.3829i	−0.497826	+	0.862260i
$362$	24.5893	+	3.28973i	1.29239	+	0.172904i
$363$	−2.50228	−	4.53263i	−0.131335	−	0.237901i
$364$	−30.2565	+	1.13529i	−1.58587	+	0.0595054i
$365$	−1.50051	+	0.866322i	−0.0785405	+	0.0453454i
$366$	10.0680	−	12.5585i	0.526264	−	0.656441i
$367$	−9.25187	−	16.0247i	−0.482944	−	0.836483i	0.516865	−	0.856067i	$-0.327099\pi$
$367$	−9.25187	−	16.0247i	−0.482944	−	0.836483i	−0.999808	+	0.0195843i	$0.993766\pi$
$368$	7.34153	+	12.9659i	0.382704	+	0.675895i
$369$	−3.54402	−	2.23156i	−0.184494	−	0.116171i
$370$	−0.527408	+	3.94215i	−0.0274186	+	0.204943i
$371$	−10.5079	+	11.4229i	−0.545541	+	0.593047i
$372$	16.0811	−	15.3465i	0.833768	−	0.795679i
$373$	0.475709	+	0.274651i	0.0246313	+	0.0142209i	0.512265	−	0.858827i	$-0.328807\pi$
$373$	0.475709	+	0.274651i	0.0246313	+	0.0142209i	−0.487634	+	0.873048i	$0.662140\pi$
$374$	0.148887	−	1.11287i	0.00769876	−	0.0575450i
$375$	−6.05433	+	10.0369i	−0.312644	+	0.518303i
$376$	−15.9446	−	6.72230i	−0.822278	−	0.346676i
$377$		−	45.1987i		−	2.32785i
$378$	−7.76100	+	17.8260i	−0.399183	+	0.916871i
$379$	9.29046			0.477219			0.238609	−	0.971116i	$-0.423308\pi$
$379$	9.29046			0.477219			0.238609	+	0.971116i	$0.423308\pi$
$380$	−0.107736	+	0.395434i	−0.00552675	+	0.0202854i
$381$	−25.0755	−	15.1257i	−1.28466	−	0.774914i
$382$	2.64799	−	19.7926i	0.135483	−	1.01268i
$383$	3.83404	−	6.64075i	0.195910	−	0.339326i	−0.751288	−	0.659974i	$-0.770567\pi$
$383$	3.83404	−	6.64075i	0.195910	−	0.339326i	0.947199	+	0.320648i	$0.103901\pi$
$384$	−19.5037	+	1.89864i	−0.995295	+	0.0968897i
$385$	1.16567	−	5.21031i	0.0594082	−	0.265542i
$386$	−16.1844	−	2.16526i	−0.823764	−	0.110209i
$387$	−18.4587	−	0.708281i	−0.938310	−	0.0360039i
$388$	−5.28148	−	5.32597i	−0.268126	−	0.270385i
$389$	−11.0202	+	6.36254i	−0.558749	+	0.322594i	−0.752643	−	0.658429i	$-0.771221\pi$
$389$	−11.0202	+	6.36254i	−0.558749	+	0.322594i	0.193894	+	0.981022i	$0.437888\pi$
$390$	6.25071	−	7.79690i	0.316517	−	0.394811i
$391$	0.522447	+	0.904905i	0.0264213	+	0.0457630i
$392$	13.2270	+	14.7325i	0.668065	+	0.744103i
$393$	4.40734	−	2.43311i	0.222321	−	0.122734i
$394$	2.01766	−	15.0812i	0.101648	−	0.759779i
$395$	2.61457	+	1.50952i	0.131553	+	0.0759523i
$396$	12.5080	−	11.4865i	0.628550	−	0.577217i
$397$	6.55798	+	11.3587i	0.329135	+	0.570079i	0.982341	−	0.187102i	$-0.0599094\pi$
$397$	6.55798	+	11.3587i	0.329135	+	0.570079i	−0.653205	+	0.757181i	$0.726576\pi$
$398$	−15.4045	+	19.9886i	−0.772159	+	1.00194i
$399$	1.27958	+	0.312153i	0.0640592	+	0.0156272i
$400$	−0.150729	+	17.9660i	−0.00753646	+	0.898298i
$401$	1.26541	−	2.19176i	0.0631916	−	0.109451i	−0.832699	−	0.553726i	$-0.813205\pi$
$401$	1.26541	−	2.19176i	0.0631916	−	0.109451i	0.895890	+	0.444275i	$0.146539\pi$
$402$	−23.2170	+	28.9600i	−1.15796	+	1.44439i
$403$	18.3586	+	31.7980i	0.914507	+	1.58397i
$404$	−8.69372	−	32.9985i	−0.432529	−	1.64174i
$405$	−2.77317	−	5.78671i	−0.137800	−	0.287544i
$406$	−22.7176	+	18.9068i	−1.12745	+	0.938327i
$407$	−9.66845	−	5.58208i	−0.479247	−	0.276693i
$408$	−1.36656	+	0.144615i	−0.0676550	+	0.00715952i
$409$		−	24.3920i		−	1.20611i	−0.797700	−	0.603054i	$-0.793950\pi$
$409$		−	24.3920i		−	1.20611i	0.797700	−	0.603054i	$-0.206050\pi$
$410$	0.186660	−	1.39520i	0.00921846	−	0.0689041i
$411$	8.25046	+	0.158231i	0.406965	+	0.00780497i
$412$	−1.70124	+	1.68703i	−0.0838141	+	0.0831139i
$413$	3.92480	+	0.878073i	0.193127	+	0.0432071i
$414$	−2.69476	+	15.5725i	−0.132440	+	0.765347i
$415$	8.45988	−	4.88431i	0.415279	−	0.239762i
$416$	4.56121	−	32.0453i	0.223632	−	1.57115i
$417$	−0.467838	+	24.3939i	−0.0229101	+	1.19457i
$418$	−0.911234	−	0.702256i	−0.0445699	−	0.0343484i
$419$	−6.31247	+	3.64450i	−0.308384	+	0.178046i	−0.646203	−	0.763165i	$-0.723644\pi$
$419$	−6.31247	+	3.64450i	−0.308384	+	0.178046i	0.337819	+	0.941211i	$0.390311\pi$
$420$	−6.53354	+	0.119764i	−0.318804	+	0.00584386i
$421$	24.0927	+	13.9099i	1.17421	+	0.677928i	0.954667	−	0.297676i	$-0.0962114\pi$
$421$	24.0927	+	13.9099i	1.17421	+	0.677928i	0.219539	+	0.975604i	$0.429545\pi$
$422$	5.03005	+	12.2160i	0.244859	+	0.594667i
$423$	−8.56049	−	16.2346i	−0.416225	−	0.789356i
$424$	−10.0179	−	13.2270i	−0.486510	−	0.642361i
$425$			1.25994i			0.0611159i
$426$	−26.6120	−	21.3346i	−1.28936	−	1.03367i
$427$	3.79576	−	16.9662i	0.183690	−	0.821053i
$428$	9.06055	+	34.3908i	0.437958	+	1.66234i
$429$	13.5569	+	24.5571i	0.654536	+	1.18563i
$430$	−2.36391	−	5.74101i	−0.113998	−	0.276856i
$431$	5.67271	+	3.27514i	0.273245	+	0.157758i	0.630361	−	0.776302i	$-0.282907\pi$
$431$	5.67271	+	3.27514i	0.273245	+	0.157758i	−0.357116	+	0.934060i	$0.616240\pi$
$432$	−17.2764	−	11.5554i	−0.831210	−	0.555959i
$433$		−	5.57289i		−	0.267816i	−0.990994	−	0.133908i	$-0.957247\pi$
$433$		−	5.57289i		−	0.267816i	0.990994	−	0.133908i	$-0.0427526\pi$
$434$	8.30272	−	22.5286i	0.398544	−	1.08141i
$435$	0.187050	−	9.75312i	0.00896835	−	0.467626i
$436$	−24.2535	−	24.4579i	−1.16153	−	1.17132i
$437$	1.07063			0.0512153
$438$	−5.54665	+	2.16044i	−0.265029	+	0.103230i
$439$	10.7098			0.511150			0.255575	−	0.966789i	$-0.417735\pi$
$439$	10.7098			0.511150			0.255575	+	0.966789i	$0.417735\pi$
$440$	5.25942	+	2.21740i	0.250733	+	0.105710i
$441$	0.945657	+	20.9787i	0.0450313	+	0.998986i
$442$	0.300998	−	2.24983i	0.0143170	−	0.107014i
$443$	10.3784			0.493092			0.246546	−	0.969131i	$-0.420704\pi$
$443$	10.3784			0.493092			0.246546	+	0.969131i	$0.420704\pi$
$444$	−3.84398	+	13.1122i	−0.182427	+	0.622277i
$445$			4.63449i			0.219696i
$446$	−4.77795	+	6.19978i	−0.226243	+	0.293568i
$447$	−1.50460	+	0.830629i	−0.0711652	+	0.0392874i
$448$	−18.0145	+	11.1121i	−0.851103	+	0.524999i
$449$	−4.29733			−0.202803			−0.101402	−	0.994846i	$-0.532333\pi$
$449$	−4.29733			−0.202803			−0.101402	+	0.994846i	$0.532333\pi$
$450$	−12.2027	+	14.6370i	−0.575241	+	0.689995i
$451$	3.42185	+	1.97561i	0.161129	+	0.0930276i
$452$	2.10917	+	8.00571i	0.0992070	+	0.376557i
$453$	−0.232886	+	12.1431i	−0.0109419	+	0.570533i
$454$	−36.0097	+	14.8273i	−1.69002	+	0.695879i
$455$	2.35659	−	10.5334i	0.110479	−	0.493815i
$456$	−0.571788	+	1.28672i	−0.0267764	+	0.0602562i
$457$	−25.4340			−1.18975			−0.594877	−	0.803817i	$-0.702799\pi$
$457$	−25.4340			−1.18975			−0.594877	+	0.803817i	$0.702799\pi$
$458$	−1.23444	+	1.60178i	−0.0576815	+	0.0748465i
$459$	−1.21829	−	0.800148i	−0.0568649	−	0.0373477i
$460$	−5.13652	+	1.35326i	−0.239492	+	0.0630960i
$461$	2.90020	−	5.02329i	0.135076	−	0.233958i	−0.790551	−	0.612397i	$-0.790206\pi$
$461$	2.90020	−	5.02329i	0.135076	−	0.233958i	0.925626	+	0.378439i	$0.123539\pi$
$462$	6.67185	−	17.0862i	0.310402	−	0.794924i
$463$	−7.76338	+	4.48219i	−0.360795	+	0.208305i	−0.669429	−	0.742876i	$-0.733461\pi$
$463$	−7.76338	+	4.48219i	−0.360795	+	0.208305i	0.308634	+	0.951181i	$0.400128\pi$
$464$	−15.5682	−	27.4951i	−0.722735	−	1.27643i
$465$	3.82989	+	6.93746i	0.177607	+	0.321717i
$466$	−3.78212	−	9.18528i	−0.175203	−	0.425500i
$467$	−20.2118	+	11.6693i	−0.935290	+	0.539990i	−0.888481	−	0.458914i	$-0.848239\pi$
$467$	−20.2118	+	11.6693i	−0.935290	+	0.539990i	−0.0468089	+	0.998904i	$0.514905\pi$
$468$	25.2868	−	23.2217i	1.16888	−	1.07342i
$469$	−8.75306	+	39.1243i	−0.404179	+	1.80659i
$470$	3.76550	−	4.88605i	0.173690	−	0.225376i
$471$	−5.33645	+	8.84678i	−0.245891	+	0.407638i
$472$	−1.67031	+	3.96179i	−0.0768823	+	0.182356i
$473$	17.4276			0.801322
$474$	8.09250	+	6.48770i	0.371701	+	0.297990i
$475$	1.11801	+	0.645486i	0.0512980	+	0.0296169i
$476$	−1.25671	+	0.789827i	−0.0576012	+	0.0362017i
$477$	0.674796	−	17.5861i	0.0308968	−	0.805211i
$478$	−28.8464	+	11.8778i	−1.31940	+	0.543276i
$479$	−5.03268	−	8.71685i	−0.229949	−	0.398283i	0.727844	−	0.685743i	$-0.240523\pi$
$479$	−5.03268	−	8.71685i	−0.229949	−	0.398283i	−0.957793	+	0.287460i	$0.907189\pi$
$480$	1.11685	−	6.89597i	0.0509770	−	0.314756i
$481$	−19.5463	−	11.2850i	−0.891233	−	0.514554i
$482$	−21.9851	+	9.05257i	−1.00140	+	0.412333i
$483$	4.78832	+	16.3849i	0.217876	+	0.745538i
$484$	4.24507	−	4.20961i	0.192958	−	0.191346i
$485$	2.31570	−	1.33697i	0.105151	−	0.0607087i
$486$	−6.40360	−	21.0949i	−0.290473	−	0.956883i
$487$	27.7833	+	16.0407i	1.25898	+	0.726873i	0.972876	−	0.231326i	$-0.0743063\pi$
$487$	27.7833	+	16.0407i	1.25898	+	0.726873i	0.286104	+	0.958199i	$0.407640\pi$
$488$	17.1262	+	7.22047i	0.775265	+	0.326855i
$489$	6.75646	+	0.129579i	0.305538	+	0.00585975i
$490$	−6.28004	+	3.22172i	−0.283703	+	0.145542i
$491$	−10.9114	−	18.8991i	−0.492425	−	0.852904i	0.507537	−	0.861630i	$-0.330556\pi$
$491$	−10.9114	−	18.8991i	−0.492425	−	0.852904i	−0.999962	+	0.00872532i	$0.997223\pi$
$492$	1.36046	−	4.64066i	0.0613342	−	0.209217i
$493$	−1.10788	−	1.91891i	−0.0498965	−	0.0864233i
$494$	−1.84220	−	1.41972i	−0.0828845	−	0.0638762i
$495$	2.82374	+	5.35511i	0.126918	+	0.240694i
$496$	22.1203	+	13.0198i	0.993232	+	0.584607i
$497$	−35.9522	−	8.04339i	−1.61268	−	0.360796i
$498$	31.2720	−	12.1806i	1.40133	−	0.545824i
$499$	3.43096	−	5.94259i	0.153591	−	0.266027i	−0.778954	−	0.627081i	$-0.784250\pi$
$499$	3.43096	−	5.94259i	0.153591	−	0.266027i	0.932545	+	0.361054i	$0.117583\pi$
$500$	−13.0589	−	3.55789i	−0.584010	−	0.159114i
$501$	17.7649	+	0.340704i	0.793679	+	0.0152216i
$502$	−3.99067	+	29.8285i	−0.178112	+	1.33131i
$503$	−28.4143			−1.26693			−0.633466	−	0.773770i	$-0.718369\pi$
$503$	−28.4143			−1.26693			−0.633466	+	0.773770i	$0.718369\pi$
$504$	−22.2492	−	2.99584i	−0.991056	−	0.133445i
$505$	12.1652			0.541343
$506$	1.97717	−	14.7785i	0.0878957	−	0.656984i
$507$	16.5251	+	29.9336i	0.733907	+	1.32940i
$508$	8.88878	−	32.6253i	0.394376	−	1.44751i
$509$	2.76249	−	4.78477i	0.122445	−	0.212081i	−0.798286	−	0.602278i	$-0.794260\pi$
$509$	2.76249	−	4.78477i	0.122445	−	0.212081i	0.920731	+	0.390197i	$0.127593\pi$
$510$	0.0742611	−	0.484231i	0.00328834	−	0.0214421i
$511$	−4.35286	+	4.73191i	−0.192559	+	0.209327i
$512$	−8.26301	−	21.0647i	−0.365177	−	0.930938i
$513$	−1.33417	+	0.671129i	−0.0589049	+	0.0296311i
$514$	16.4013	+	12.6399i	0.723429	+	0.557521i
$515$	−0.427060	−	0.739689i	−0.0188185	−	0.0325946i
$516$	−5.03763	−	20.7266i	−0.221769	−	0.912436i
$517$	8.65769	+	14.9956i	0.380765	+	0.659504i
$518$	2.50423	+	14.5448i	0.110030	+	0.639064i
$519$	−17.4697	+	28.9614i	−0.766835	+	1.27126i
$520$	10.6327	+	4.48281i	0.466277	+	0.196584i
$521$	31.0366	+	17.9190i	1.35974	+	0.785044i	0.989588	−	0.143928i	$-0.0459734\pi$
$521$	31.0366	+	17.9190i	1.35974	+	0.785044i	0.370149	+	0.928973i	$0.379307\pi$
$522$	5.71442	−	33.0225i	0.250113	−	1.44536i
$523$	22.6781	−	13.0932i	0.991644	−	0.572526i	0.0858789	−	0.996306i	$-0.472630\pi$
$523$	22.6781	−	13.0932i	0.991644	−	0.572526i	0.905765	+	0.423779i	$0.139297\pi$
$524$	4.09325	+	4.12774i	0.178814	+	0.180321i
$525$	−4.87824	+	19.9969i	−0.212904	+	0.872736i
$526$	11.2451	−	4.63026i	0.490309	−	0.201889i
$527$	1.55883	+	0.899990i	0.0679036	+	0.0392042i
$528$	16.7053	+	10.2689i	0.727006	+	0.446897i
$529$	−4.56209	−	7.90177i	−0.198352	−	0.343555i
$530$	5.46960	−	2.25216i	0.237584	−	0.0978274i
$531$	−4.03387	+	2.12705i	−0.175055	+	0.0923062i
$532$	0.0570260	+	1.51979i	0.00247239	+	0.0658914i
$533$	6.91780	+	3.99399i	0.299643	+	0.172999i
$534$	−2.41355	+	15.7379i	−0.104444	+	0.681047i
$535$	−12.6785			−0.548138
$536$	−39.4931	−	16.6505i	−1.70584	−	0.719192i
$537$	−3.87569	−	7.02042i	−0.167248	−	0.302954i
$538$	−9.65090	+	12.5228i	−0.416080	+	0.539897i
$539$	−1.65041	−	19.7435i	−0.0710882	−	0.850412i
$540$	5.55257	−	4.90621i	0.238945	−	0.211129i
$541$	−15.4322	+	8.90977i	−0.663481	+	0.383061i	−0.793602	−	0.608437i	$-0.791797\pi$
$541$	−15.4322	+	8.90977i	−0.663481	+	0.383061i	0.130121	+	0.991498i	$0.458463\pi$
$542$	14.9833	+	36.3886i	0.643588	+	1.56302i
$543$	−15.6937	+	26.0171i	−0.673483	+	1.11650i
$544$	−0.591829	−	1.47228i	−0.0253745	−	0.0631237i
$545$	10.6341	−	6.13962i	0.455516	−	0.262992i
$546$	13.4882	−	34.5425i	0.577241	−	1.47828i
$547$	2.07943	−	3.60168i	0.0889100	−	0.153997i	−0.818141	−	0.575018i	$-0.804995\pi$
$547$	2.07943	−	3.60168i	0.0889100	−	0.153997i	0.907051	+	0.421022i	$0.138328\pi$
$548$	2.42754	+	9.21415i	0.103700	+	0.393609i
$549$	9.19488	+	17.4377i	0.392428	+	0.744224i
$550$	10.9746	−	14.2405i	0.467960	−	0.607216i
$551$	−2.27034			−0.0967199
$552$	−18.1475	+	1.92044i	−0.772409	+	0.0817393i
$553$	10.9328	+	2.44593i	0.464910	+	0.104012i
$554$	−31.4574	+	12.9528i	−1.33650	+	0.550313i
$555$	−4.17106	−	2.51601i	−0.177052	−	0.106799i
$556$	−27.2432	+	7.17745i	−1.15537	+	0.304392i
$557$	0.756927	+	0.437012i	0.0320720	+	0.0185168i	0.515950	−	0.856619i	$-0.327439\pi$
$557$	0.756927	+	0.437012i	0.0320720	+	0.0185168i	−0.483878	+	0.875135i	$0.660772\pi$
$558$	9.39275	+	25.5530i	0.397627	+	1.08174i
$559$	35.2326			1.49018
$560$	−2.19458	−	7.21936i	−0.0927380	−	0.305074i
$561$	1.17749	+	0.710270i	0.0497136	+	0.0299876i
$562$	20.9884	−	27.2341i	0.885341	−	1.14880i
$563$			8.67837i			0.365750i	0.983136	+	0.182875i	$0.0585403\pi$
$563$			8.67837i			0.365750i	−0.983136	+	0.182875i	$0.941460\pi$
$564$	15.3316	−	14.6312i	0.645575	−	0.616083i
$565$	−2.95137			−0.124165
$566$	2.58046	−	19.2879i	0.108465	−	0.810730i
$567$	−16.2379	−	17.4164i	−0.681926	−	0.731421i
$568$	15.3005	−	36.2912i	0.641996	−	1.52274i
$569$	27.3576			1.14689			0.573445	−	0.819244i	$-0.305607\pi$
$569$	27.3576			1.14689			0.573445	+	0.819244i	$0.305607\pi$
$570$	−0.391641	−	0.313975i	−0.0164040	−	0.0131510i
$571$	34.1637			1.42971			0.714853	−	0.699275i	$-0.246494\pi$
$571$	34.1637			1.42971			0.714853	+	0.699275i	$0.246494\pi$
$572$	−22.9991	+	22.8070i	−0.961643	+	0.953609i
$573$	20.9419	+	12.6323i	0.874861	+	0.527723i
$574$	−0.886296	−	5.14770i	−0.0369933	−	0.214861i
$575$			16.7315i			0.697752i
$576$	7.38391	−	22.8359i	0.307663	−	0.951495i
$577$	23.2499	+	13.4233i	0.967905	+	0.558820i	0.898597	−	0.438775i	$-0.144588\pi$
$577$	23.2499	+	13.4233i	0.967905	+	0.558820i	0.0693080	+	0.997595i	$0.477921\pi$
$578$	9.11136	+	22.1279i	0.378983	+	0.920400i
$579$	10.3294	−	17.1242i	0.429277	−	0.711656i
$580$	10.8923	−	2.86967i	0.452279	−	0.119157i
$581$	24.5414	−	26.6784i	1.01815	−	1.10681i
$582$	8.55999	−	3.33415i	0.354823	−	0.138205i
$583$			16.6037i			0.687655i
$584$	−4.14987	−	5.47926i	−0.171723	−	0.226734i
$585$	5.70862	+	10.8262i	0.236022	+	0.447608i
$586$	−3.45435	−	8.38927i	−0.142698	−	0.346557i
$587$	−21.1649	−	12.2196i	−0.873569	−	0.504355i	−0.00503619	−	0.999987i	$-0.501603\pi$
$587$	−21.1649	−	12.2196i	−0.873569	−	0.504355i	−0.868533	+	0.495632i	$0.834936\pi$
$588$	−23.0038	+	7.66988i	−0.948659	+	0.316301i
$589$	1.59723	−	0.922159i	0.0658125	−	0.0379969i
$590$	−1.21405	−	0.935626i	−0.0499817	−	0.0385191i
$591$	15.9569	+	9.62533i	0.656379	+	0.395933i
$592$	−15.7773	−	0.132367i	−0.648444	−	0.00544026i
$593$	−41.6233	+	24.0312i	−1.70926	+	0.986843i	−0.773791	+	0.633441i	$0.781642\pi$
$593$	−41.6233	+	24.0312i	−1.70926	+	0.986843i	−0.935471	+	0.353402i	$0.885025\pi$
$594$	6.80009	+	19.6556i	0.279011	+	0.806478i
$595$	−0.158140	−	0.504960i	−0.00648313	−	0.0207014i
$596$	−1.39738	−	1.40915i	−0.0572388	−	0.0577210i
$597$	−14.9376	−	27.0580i	−0.611355	−	1.10741i
$598$	3.99715	−	29.8770i	0.163456	−	1.22176i
$599$		−	14.4601i		−	0.590823i	−0.955370	−	0.295411i	$-0.904543\pi$
$599$		−	14.4601i		−	0.590823i	0.955370	−	0.295411i	$-0.0954567\pi$
$600$	−20.1085	−	8.93573i	−0.820925	−	0.364799i
$601$	28.3062	+	16.3426i	1.15463	+	0.666628i	0.950012	−	0.312213i	$-0.101070\pi$
$601$	28.3062	+	16.3426i	1.15463	+	0.666628i	0.204622	+	0.978841i	$0.434404\pi$
$602$	−14.7379	−	17.7085i	−0.600673	−	0.721743i
$603$	−21.2035	−	40.2116i	−0.863474	−	1.63754i
$604$	−13.5615	+	3.57288i	−0.551808	+	0.145378i
$605$	1.06563	+	1.84573i	0.0433242	+	0.0750397i
$606$	41.3108	+	6.33538i	1.67814	+	0.257357i
$607$	−21.2715	+	36.8433i	−0.863383	+	1.49542i	0.00526028	+	0.999986i	$0.498326\pi$
$607$	−21.2715	+	36.8433i	−0.863383	+	1.49542i	−0.868644	+	0.495438i	$0.835008\pi$
$608$	−1.60965	−	0.229111i	−0.0652798	−	0.00929168i
$609$	−10.1539	−	34.7452i	−0.411458	−	1.40795i
$610$	−4.04455	+	5.24813i	−0.163759	+	0.212491i
$611$	17.5029	+	30.3159i	0.708090	+	1.22645i
$612$	0.504356	−	1.60569i	0.0203874	−	0.0649062i
$613$	35.9732	+	20.7692i	1.45295	+	0.838858i	0.998648	−	0.0519915i	$-0.0165569\pi$
$613$	35.9732	+	20.7692i	1.45295	+	0.838858i	0.454298	+	0.890850i	$0.349890\pi$
$614$	−2.65591	+	19.8518i	−0.107184	+	0.801153i
$615$	1.47622	+	0.890466i	0.0595268	+	0.0359070i
$616$	21.0838	+	2.01948i	0.849490	+	0.0813674i
$617$	−14.2596	−	24.6984i	−0.574071	−	0.994319i	−0.996142	−	0.0877568i	$-0.972030\pi$
$617$	−14.2596	−	24.6984i	−0.574071	−	0.994319i	0.422071	−	0.906563i	$-0.361303\pi$
$618$	−1.06501	−	2.73426i	−0.0428408	−	0.109988i
$619$	−29.0376	+	16.7649i	−1.16712	+	0.673836i	−0.953000	−	0.302971i	$-0.902021\pi$
$619$	−29.0376	+	16.7649i	−1.16712	+	0.673836i	−0.214119	+	0.976808i	$0.568688\pi$
$620$	−6.49734	+	6.44306i	−0.260940	+	0.258760i
$621$	−16.1784	−	10.6257i	−0.649219	−	0.426394i
$622$	−21.0573	−	2.81719i	−0.844320	−	0.112959i
$623$	5.13970	+	16.4116i	0.205918	+	0.657519i
$624$	33.7724	+	20.7602i	1.35198	+	0.831072i
$625$	−8.81658	+	15.2708i	−0.352663	+	0.610830i
$626$	−5.86320	+	43.8250i	−0.234341	+	1.75160i
$627$	1.23351	−	0.680970i	0.0492616	−	0.0271953i
$628$	−11.5104	−	3.13602i	−0.459316	−	0.125141i
$629$	−1.10645			−0.0441170
$630$	3.05347	−	7.39788i	0.121653	−	0.294738i
$631$			1.84387i			0.0734032i	0.999326	+	0.0367016i	$0.0116851\pi$
$631$			1.84387i			0.0734032i	−0.999326	+	0.0367016i	$0.988315\pi$
$632$	−4.65277	+	11.0359i	−0.185077	+	0.438983i
$633$	−16.1772	−	0.310254i	−0.642987	−	0.0123315i
$634$	−3.73414	+	27.9111i	−0.148302	+	1.10849i
$635$	10.4396	+	6.02733i	0.414285	+	0.239187i
$636$	19.7467	−	4.79947i	0.783008	−	0.190311i
$637$	−3.33656	−	39.9145i	−0.132199	−	1.58147i
$638$	−4.19271	+	31.3387i	−0.165991	+	1.24071i
$639$	36.9514	−	19.4844i	1.46178	−	0.770791i
$640$	8.01212	−	0.935368i	0.316707	−	0.0369737i
$641$	−12.5870	−	21.8013i	−0.497155	−	0.861098i	0.502840	−	0.864380i	$-0.332289\pi$
$641$	−12.5870	−	21.8013i	−0.497155	−	0.861098i	−0.999995	+	0.00328204i	$0.998955\pi$
$642$	−43.0539	−	6.60270i	−1.69920	−	0.260588i
$643$	−37.1982	+	21.4764i	−1.46696	+	0.846947i	−0.999316	−	0.0369720i	$-0.988229\pi$
$643$	−37.1982	+	21.4764i	−1.46696	+	0.846947i	−0.467639	+	0.883919i	$0.654895\pi$
$644$	−16.6887	+	10.4886i	−0.657626	+	0.413310i
$645$	7.60261	+	0.145806i	0.299352	+	0.00574112i
$646$	−0.113010	−	0.0151192i	−0.00444631	−	0.000594858i
$647$	16.3409	−	28.3032i	0.642425	−	1.11271i	−0.342464	−	0.939531i	$-0.611262\pi$
$647$	16.3409	−	28.3032i	0.642425	−	1.11271i	0.984890	−	0.173183i	$-0.0554050\pi$
$648$	21.4106	−	13.7690i	0.841090	−	0.540896i
$649$	3.72599	−	2.15120i	0.146258	−	0.0844421i
$650$	22.1869	−	28.7894i	0.870243	−	1.12921i
$651$	21.2561	+	20.3195i	0.833093	+	0.796386i
$652$	1.98796	+	7.54565i	0.0778546	+	0.295510i
$653$	−10.1531	−	5.86189i	−0.397321	−	0.229394i	0.288006	−	0.957629i	$-0.407008\pi$
$653$	−10.1531	−	5.86189i	−0.397321	−	0.229394i	−0.685328	+	0.728235i	$0.740341\pi$
$654$	39.3091	−	15.3110i	1.53711	−	0.598709i
$655$	−1.79471	+	1.03618i	−0.0701253	+	0.0404869i
$656$	5.58389	+	0.0468473i	0.218014	+	0.00182908i
$657$	0.279533	−	7.28499i	0.0109056	−	0.284215i
$658$	7.91572	−	21.4785i	0.308587	−	0.837317i
$659$	5.77577	−	10.0039i	0.224992	−	0.389698i	−0.731325	−	0.682029i	$-0.761098\pi$
$659$	5.77577	−	10.0039i	0.224992	−	0.389698i	0.956317	+	0.292332i	$0.0944311\pi$
$660$	−5.05722	+	4.82619i	−0.196852	+	0.187859i
$661$	32.5974			1.26789			0.633945	−	0.773378i	$-0.281435\pi$
$661$	32.5974			1.26789			0.633945	+	0.773378i	$0.281435\pi$
$662$	19.1940	+	2.56790i	0.745995	+	0.0998043i
$663$	2.38047	+	1.43592i	0.0924500	+	0.0557666i
$664$	23.3969	+	30.8920i	0.907978	+	1.19884i
$665$	−0.529098	−	0.118372i	−0.0205175	−	0.00459028i
$666$	−12.8539	−	10.7162i	−0.498079	−	0.415243i
$667$	−14.7123	−	25.4824i	−0.569662	−	0.986683i
$668$	5.22700	+	19.8400i	0.202239	+	0.767631i
$669$	−4.63313	−	8.39246i	−0.179127	−	0.324471i
$670$	9.32678	−	12.1023i	0.360325	−	0.467551i
$671$	−9.29928	−	16.1068i	−0.358995	−	0.621797i
$672$	−3.69272	−	25.6586i	−0.142450	−	0.989802i
$673$	−16.7297	+	28.9768i	−0.644884	+	1.11697i	0.339444	+	0.940626i	$0.389761\pi$
$673$	−16.7297	+	28.9768i	−0.644884	+	1.11697i	−0.984328	+	0.176346i	$0.943572\pi$
$674$	−15.0924	−	36.6534i	−0.581336	−	1.41184i
$675$	−10.4882	−	20.8499i	−0.403691	−	0.802515i
$676$	−28.0346	+	27.8004i	−1.07825	+	1.06925i
$677$	37.2224			1.43057			0.715286	−	0.698832i	$-0.246296\pi$
$677$	37.2224			1.43057			0.715286	+	0.698832i	$0.246296\pi$
$678$	−10.0224	−	1.53702i	−0.384906	−	0.0590287i
$679$	6.71765	−	7.30262i	0.257800	−	0.280249i
$680$	0.561293	−	0.0703056i	0.0215246	−	0.00269610i
$681$	0.914550	−	47.6863i	0.0350456	−	1.82734i
$682$	−9.77939	−	23.7503i	−0.374472	−	0.909446i
$683$	−2.32050	+	4.01922i	−0.0887913	+	0.153791i	−0.907000	−	0.421130i	$-0.861634\pi$
$683$	−2.32050	+	4.01922i	−0.0887913	+	0.153791i	0.818209	+	0.574921i	$0.194967\pi$
$684$	−1.16643	−	1.27017i	−0.0445997	−	0.0485660i
$685$	−3.39687			−0.129788
$686$	−18.6660	+	18.3734i	−0.712670	+	0.701499i
$687$	−1.19702	−	2.16829i	−0.0456692	−	0.0827253i
$688$	21.4326	−	12.1355i	0.817108	−	0.462661i
$689$			33.5670i			1.27880i
$690$	0.986161	−	6.43042i	0.0375425	−	0.244802i
$691$		−	26.7735i		−	1.01851i	−0.860615	−	0.509257i	$-0.829920\pi$
$691$		−	26.7735i		−	1.01851i	0.860615	−	0.509257i	$-0.170080\pi$
$692$	−37.6812	−	10.2662i	−1.43242	−	0.390264i
$693$	15.9383	+	15.8320i	0.605446	+	0.601406i
$694$	24.5818	+	3.28872i	0.933113	+	0.124838i
$695$		−	10.0434i		−	0.380969i
$696$	38.4829	−	4.07241i	1.45869	−	0.154364i
$697$	0.391593			0.0148327
$698$	−13.4921	+	17.5071i	−0.510684	+	0.662654i
$699$	12.1637	+	0.233282i	0.460074	+	0.00882352i
$700$	−23.7509	+	0.891185i	−0.897698	+	0.0336836i
$701$		−	22.4021i		−	0.846115i	−0.906103	−	0.423058i	$-0.860957\pi$
$701$		−	22.4021i		−	0.846115i	0.906103	−	0.423058i	$-0.139043\pi$
$702$	13.7474	+	39.7368i	0.518864	+	1.49977i
$703$	−0.566851	+	0.981815i	−0.0213792	+	0.0370299i
$704$	−6.13512	+	21.7957i	−0.231226	+	0.821455i
$705$	3.65137	+	6.61409i	0.137518	+	0.249101i
$706$	−36.2975	+	14.9458i	−1.36608	+	0.562493i
$707$	43.0793	−	13.4913i	1.62016	−	0.507393i
$708$	−3.63545	−	3.80948i	−0.136629	−	0.143169i
$709$			11.8075i			0.443440i	0.975110	+	0.221720i	$0.0711670\pi$
$709$			11.8075i			0.443440i	−0.975110	+	0.221720i	$0.928833\pi$
$710$	11.1210	+	8.57060i	0.417365	+	0.321649i
$711$	−11.2366	+	5.92505i	−0.421407	+	0.222207i
$712$	−18.2425	+	2.28499i	−0.683666	+	0.0856337i
$713$	20.7007	+	11.9515i	0.775247	+	0.447589i
$714$	−0.274045	−	1.79712i	−0.0102559	−	0.0672553i
$715$	−5.77344	−	9.99989i	−0.215914	−	0.373975i
$716$	6.57504	−	6.52011i	0.245721	−	0.243668i
$717$	0.732622	−	38.2002i	0.0273603	−	1.42661i
$718$	−39.6768	+	16.3373i	−1.48072	+	0.609701i
$719$	1.14473	+	1.98273i	0.0426911	+	0.0739432i	0.886581	−	0.462573i	$-0.153074\pi$
$719$	1.14473	+	1.98273i	0.0426911	+	0.0739432i	−0.843890	+	0.536516i	$0.819740\pi$
$720$	7.20161	+	4.61946i	0.268388	+	0.172157i
$721$	−2.33263	−	2.14577i	−0.0868716	−	0.0799127i
$722$	16.3308	−	21.1906i	0.607770	−	0.788631i
$723$	0.558364	−	29.1141i	0.0207658	−	1.08277i
$724$	−33.8505	−	9.22258i	−1.25804	−	0.342755i
$725$		−	35.4802i		−	1.31770i
$726$	2.65749	+	6.82275i	0.0986287	+	0.253216i
$727$	−18.7003	+	32.3899i	−0.693557	+	1.20128i	0.277108	+	0.960839i	$0.410624\pi$
$727$	−18.7003	+	32.3899i	−0.693557	+	1.20128i	−0.970665	+	0.240437i	$0.922709\pi$
$728$	42.6242	+	4.08270i	1.57976	+	0.151315i
$729$	26.8215	+	3.09968i	0.993388	+	0.114803i
$730$	2.26577	−	0.932950i	0.0838599	−	0.0345300i
$731$	1.49580	−	0.863601i	0.0553242	−	0.0319414i
$732$	−16.4677	+	15.7154i	−0.608664	+	0.580859i
$733$	5.02905	−	8.71057i	0.185752	−	0.321732i	−0.758078	−	0.652164i	$-0.773861\pi$
$733$	5.02905	−	8.71057i	0.185752	−	0.321732i	0.943830	+	0.330432i	$0.107194\pi$
$734$	9.96342	+	24.1972i	0.367757	+	0.893137i
$735$	−0.554792	−	8.62669i	−0.0204638	−	0.318200i
$736$	−7.85928	−	19.5514i	−0.289697	−	0.720675i
$737$	21.4443	+	37.1425i	0.789909	+	1.36816i
$738$	4.54924	+	3.79265i	0.167460	+	0.139609i
$739$	−15.0004	+	25.9814i	−0.551798	+	0.955742i	0.446347	+	0.894860i	$0.352725\pi$
$739$	−15.0004	+	25.9814i	−0.551798	+	0.955742i	−0.998145	+	0.0608820i	$0.980609\pi$
$740$	1.47856	−	5.42690i	0.0543530	−	0.199497i
$741$	2.49373	−	1.37669i	0.0916095	−	0.0505738i
$742$	16.8713	−	14.0412i	0.619365	−	0.515468i
$743$	−5.60097	+	3.23372i	−0.205480	+	0.118634i	−0.599209	−	0.800593i	$-0.704518\pi$
$743$	−5.60097	+	3.23372i	−0.205480	+	0.118634i	0.393729	+	0.919226i	$0.371185\pi$
$744$	−25.4193	+	18.4958i	−0.931916	+	0.678091i
$745$	0.612689	−	0.353736i	0.0224472	−	0.0129599i
$746$	−0.615307	−	0.474196i	−0.0225280	−	0.0173615i
$747$	−1.57600	+	41.0727i	−0.0576629	+	1.50277i
$748$	−0.417397	+	1.53201i	−0.0152615	+	0.0560159i
$749$	−44.8970	+	14.0606i	−1.64050	+	0.513762i
$750$	10.3688	−	12.9336i	0.378613	−	0.472268i
$751$	−20.2543	−	11.6938i	−0.739091	−	0.426714i	0.0826477	−	0.996579i	$-0.473662\pi$
$751$	−20.2543	−	11.6938i	−0.739091	−	0.426714i	−0.821739	+	0.569864i	$0.806996\pi$
$752$	21.0892	+	12.4129i	0.769045	+	0.452653i
$753$	−31.5606	−	19.0376i	−1.15013	−	0.693769i
$754$	−8.47621	+	63.3561i	−0.308685	+	2.30729i
$755$		−	4.99955i		−	0.181952i
$756$	14.2217	−	23.5317i	0.517240	−	0.855841i
$757$		−	14.6588i		−	0.532783i	−0.963865	−	0.266392i	$-0.914169\pi$
$757$		−	14.6588i		−	0.532783i	0.963865	−	0.266392i	$-0.0858314\pi$
$758$	−13.0227	−	1.74226i	−0.473004	−	0.0632818i
$759$	15.6366	+	9.43213i	0.567573	+	0.342365i
$760$	0.225173	−	0.534086i	0.00816789	−	0.0193733i
$761$	−36.9662	−	21.3424i	−1.34002	−	0.773663i	−0.353213	−	0.935543i	$-0.614911\pi$
$761$	−36.9662	−	21.3424i	−1.34002	−	0.773663i	−0.986811	+	0.161880i	$0.948244\pi$
$762$	32.3123	+	25.9046i	1.17055	+	0.938423i
$763$	30.8487	−	33.5350i	1.11680	−	1.21405i
$764$	−7.42351	+	27.2472i	−0.268573	+	0.985770i
$765$	0.507724	+	0.319699i	0.0183568	+	0.0115587i
$766$	−6.61962	+	8.58950i	−0.239177	+	0.310351i
$767$	7.53267	−	4.34899i	0.271989	−	0.157033i
$768$	27.6949	+	0.996204i	0.999354	+	0.0359474i
$769$	5.71707	−	3.30075i	0.206163	−	0.119028i	−0.393364	−	0.919383i	$-0.628689\pi$
$769$	5.71707	−	3.30075i	0.206163	−	0.119028i	0.599527	+	0.800355i	$0.295355\pi$
$770$	−2.61105	+	7.08481i	−0.0940958	+	0.255319i
$771$	−22.2019	+	12.2568i	−0.799582	+	0.441416i
$772$	22.2800	+	6.07019i	0.801875	+	0.218471i
$773$	−24.7454	+	42.8604i	−0.890032	+	1.54158i	−0.0501957	+	0.998739i	$0.515985\pi$
$773$	−24.7454	+	42.8604i	−0.890032	+	1.54158i	−0.839836	+	0.542840i	$0.817349\pi$
$774$	25.7412	+	4.45442i	0.925249	+	0.160111i
$775$	14.4112	+	24.9610i	0.517666	+	0.896624i
$776$	6.40439	+	8.45600i	0.229904	+	0.303553i
$777$	−17.5608	−	4.28396i	−0.629991	−	0.153686i
$778$	16.6405	−	6.85188i	0.596592	−	0.245652i
$779$	0.200620	−	0.347483i	0.00718794	−	0.0124499i
$780$	−10.2240	+	9.75690i	−0.366076	+	0.349353i
$781$	−34.1311	+	19.7056i	−1.22131	+	0.705123i
$782$	−0.562628	−	1.36640i	−0.0201195	−	0.0488625i
$783$	34.3074	+	22.5324i	1.22605	+	0.805244i
$784$	−15.7778	−	23.1314i	−0.563493	−	0.826121i
$785$	2.12648	−	3.68317i	0.0758974	−	0.131458i
$786$	−6.63416	+	2.58403i	−0.236633	+	0.0921694i
$787$			6.24260i			0.222525i	0.993791	+	0.111262i	$0.0354894\pi$
$787$			6.24260i			0.222525i	−0.993791	+	0.111262i	$0.964511\pi$
$788$	−5.65642	+	20.7613i	−0.201502	+	0.739590i
$789$	−0.285595	+	14.8915i	−0.0101675	+	0.530150i
$790$	−3.38182	−	2.60625i	−0.120320	−	0.0927263i
$791$	−10.4514	+	3.27311i	−0.371609	+	0.116378i
$792$	−19.6868	+	13.7552i	−0.699541	+	0.488770i
$793$	−18.7999	−	32.5624i	−0.667605	−	1.15633i
$794$	−7.06234	−	17.1517i	−0.250633	−	0.608690i
$795$	−0.138913	+	7.24319i	−0.00492675	+	0.256890i
$796$	25.3414	−	25.1297i	0.898202	−	0.890698i
$797$	−18.2034	−	31.5292i	−0.644798	−	1.11682i	−0.984348	−	0.176235i	$-0.943608\pi$
$797$	−18.2034	−	31.5292i	−0.644798	−	1.11682i	0.339550	−	0.940588i	$-0.389725\pi$
$798$	−1.73508	−	0.677515i	−0.0614212	−	0.0239838i
$799$	1.48617	+	0.858039i	0.0525768	+	0.0303553i
$800$	3.58048	−	25.1551i	0.126589	−	0.889366i
$801$	−16.5015	−	10.3905i	−0.583051	−	0.367130i
$802$	−2.18478	+	2.83493i	−0.0771473	+	0.100105i
$803$			6.87805i			0.242721i
$804$	37.9748	−	36.2400i	1.33927	−	1.27809i
$805$	−2.10005	−	6.70569i	−0.0740170	−	0.236345i
$806$	−19.7705	−	48.0149i	−0.696388	−	1.69125i
$807$	−9.35838	−	16.9518i	−0.329430	−	0.596730i
$808$	5.99792	+	47.8851i	0.211006	+	1.68459i
$809$	−3.46455	+	6.00077i	−0.121807	+	0.210976i	−0.920480	−	0.390789i	$-0.872202\pi$
$809$	−3.46455	+	6.00077i	−0.121807	+	0.210976i	0.798673	+	0.601765i	$0.205536\pi$
$810$	2.80202	+	8.63143i	0.0984530	+	0.303278i
$811$			18.5730i			0.652185i	0.945338	+	0.326092i	$0.105732\pi$
$811$			18.5730i			0.652185i	−0.945338	+	0.326092i	$0.894268\pi$
$812$	35.3894	−	22.2418i	1.24192	−	0.780534i
$813$	−48.1880	−	0.924173i	−1.69003	−	0.0324121i
$814$	12.5057	+	9.63769i	0.438324	+	0.337801i
$815$	−2.78177			−0.0974410
$816$	1.94267	+	0.0535644i	0.0680070	+	0.00187513i
$817$		−	1.76975i		−	0.0619156i
$818$	−4.57429	+	34.1909i	−0.159936	+	1.19546i
$819$	32.2217	+	32.0068i	1.12592	+	1.11841i
$820$	−0.523291	+	1.92068i	−0.0182741	+	0.0670732i
$821$			5.58155i			0.194798i	0.995245	+	0.0973988i	$0.0310522\pi$
$821$			5.58155i			0.194798i	−0.995245	+	0.0973988i	$0.968948\pi$
$822$	−11.5352	−	1.76902i	−0.402336	−	0.0617018i
$823$		−	43.5416i		−	1.51776i	−0.651228	−	0.758882i	$-0.725746\pi$
$823$		−	43.5416i		−	1.51776i	0.651228	−	0.758882i	$-0.274254\pi$
$824$	2.70104	−	2.04571i	0.0940953	−	0.0712657i
$825$	10.6420	+	19.2769i	0.370507	+	0.671136i
$826$	−5.33681	−	1.96684i	−0.185692	−	0.0684352i
$827$	33.7917			1.17505			0.587526	−	0.809205i	$-0.300102\pi$
$827$	33.7917			1.17505			0.587526	+	0.809205i	$0.300102\pi$
$828$	6.69766	−	21.3230i	0.232760	−	0.741026i
$829$	4.12458	−	7.14398i	0.143252	−	0.248121i	−0.785467	−	0.618903i	$-0.787577\pi$
$829$	4.12458	−	7.14398i	0.143252	−	0.248121i	0.928720	+	0.370783i	$0.120911\pi$
$830$	−12.7744	+	5.25996i	−0.443406	+	0.182576i
$831$	0.798933	−	41.6578i	0.0277147	−	1.44509i
$832$	−12.4031	+	44.0633i	−0.430000	+	1.52762i
$833$	−1.12001	−	1.61279i	−0.0388062	−	0.0558797i
$834$	5.23042	−	34.1058i	0.181115	−	1.18099i
$835$	−7.31417			−0.253117
$836$	1.14560	+	1.15525i	0.0396215	+	0.0399553i
$837$	−33.2880	−	1.91712i	−1.15060	−	0.0662653i
$838$	9.53180	−	3.92480i	0.329271	−	0.135580i
$839$	8.23536	−	14.2641i	0.284316	−	0.492450i	−0.688127	−	0.725590i	$-0.741567\pi$
$839$	8.23536	−	14.2641i	0.284316	−	0.492450i	0.972443	+	0.233140i	$0.0749001\pi$
$840$	9.18068	+	1.05737i	0.316764	+	0.0364829i
$841$	16.6983	+	28.9224i	0.575805	+	0.997323i
$842$	−31.1628	−	24.0160i	−1.07394	−	0.827647i
$843$	20.3522	+	36.8660i	0.700967	+	1.26973i
$844$	−4.75985	−	18.0668i	−0.163841	−	0.621885i
$845$	−7.03749	−	12.1893i	−0.242097	−	0.419324i
$846$	8.95493	+	24.3619i	0.307877	+	0.837578i
$847$	5.82056	+	5.35431i	0.199997	+	0.183976i
$848$	11.5618	+	20.4193i	0.397033	+	0.701202i
$849$	20.4079	+	12.3102i	0.700396	+	0.422485i
$850$	0.236279	−	1.76608i	0.00810429	−	0.0605762i
$851$	−14.6932			−0.503678
$852$	33.3018	+	34.8959i	1.14090	+	1.19551i
$853$	8.03740	−	13.9212i	0.275195	−	0.476652i	−0.694989	−	0.719020i	$-0.744591\pi$
$853$	8.03740	−	13.9212i	0.275195	−	0.476652i	0.970184	+	0.242368i	$0.0779241\pi$
$854$	−8.50232	+	23.0701i	−0.290943	+	0.789444i
$855$	0.543803	−	0.286746i	0.0185977	−	0.00980650i
$856$	−6.25100	−	49.9056i	−0.213655	−	1.70574i
$857$	−30.7858	+	17.7742i	−1.05162	+	0.607154i	−0.923103	−	0.384553i	$-0.874356\pi$
$857$	−30.7858	+	17.7742i	−1.05162	+	0.607154i	−0.128519	+	0.991707i	$0.541022\pi$
$858$	−14.3979	−	36.9646i	−0.491535	−	1.26195i
$859$	−1.37854	−	0.795900i	−0.0470351	−	0.0271558i	0.476298	−	0.879284i	$-0.341978\pi$
$859$	−1.37854	−	0.795900i	−0.0470351	−	0.0271558i	−0.523333	+	0.852128i	$0.675312\pi$
$860$	2.23693	+	8.49063i	0.0762785	+	0.289528i
$861$	6.21512	+	1.51618i	0.211811	+	0.0516711i
$862$	−7.33739	−	5.65467i	−0.249912	−	0.192599i
$863$	−47.3665	+	27.3471i	−1.61237	+	0.930905i	−0.623556	+	0.781779i	$0.714313\pi$
$863$	−47.3665	+	27.3471i	−1.61237	+	0.930905i	−0.988818	+	0.149126i	$0.952354\pi$
$864$	22.0497	+	19.4374i	0.750146	+	0.661272i
$865$	6.96137	−	12.0575i	0.236694	−	0.409966i
$866$	−1.04510	+	7.81165i	−0.0355138	+	0.265451i
$867$	−29.3032	−	0.561990i	−0.995189	−	0.0190862i
$868$	−15.8630	+	30.0218i	−0.538424	+	1.01901i
$869$	10.3790	−	5.99233i	0.352084	−	0.203276i
$870$	−2.09122	+	13.6361i	−0.0708989	+	0.462307i
$871$	43.3529	+	75.0894i	1.46896	+	2.54431i
$872$	29.4101	+	38.8315i	0.995953	+	1.31500i
$873$	−0.431395	+	11.2427i	−0.0146005	+	0.380509i
$874$	−1.50073	−	0.200778i	−0.0507630	−	0.00679142i
$875$	3.90913	−	17.4730i	0.132153	−	0.590695i
$876$	8.18003	−	1.98817i	0.276378	−	0.0671740i
$877$	2.97466	+	1.71742i	0.100447	+	0.0579931i	0.549382	−	0.835571i	$-0.314863\pi$
$877$	2.97466	+	1.71742i	0.100447	+	0.0579931i	−0.448935	+	0.893564i	$0.648197\pi$
$878$	−15.0122	−	2.00843i	−0.506636	−	0.0677812i
$879$	11.1096	+	0.213065i	0.374717	+	0.00718650i
$880$	−6.95643	−	4.09449i	−0.234501	−	0.138025i
$881$		−	35.6291i		−	1.20038i	−0.799859	−	0.600188i	$-0.795093\pi$
$881$		−	35.6291i		−	1.20038i	0.799859	−	0.600188i	$-0.204907\pi$
$882$	2.60863	−	29.5837i	0.0878372	−	0.996135i
$883$	1.59970			0.0538341			0.0269171	−	0.999638i	$-0.491431\pi$
$883$	1.59970			0.0538341			0.0269171	+	0.999638i	$0.491431\pi$
$884$	−0.843833	+	3.09720i	−0.0283812	+	0.104170i
$885$	1.64342	−	0.907266i	0.0552430	−	0.0304974i
$886$	−14.5476	−	1.94628i	−0.488738	−	0.0653867i
$887$	20.7096	−	35.8701i	0.695360	−	1.20440i	−0.274699	−	0.961530i	$-0.588578\pi$
$887$	20.7096	−	35.8701i	0.695360	−	1.20440i	0.970059	−	0.242869i	$-0.0780884\pi$
$888$	7.84716	−	17.6588i	0.263333	−	0.592591i
$889$	43.6533	+	9.76630i	1.46408	+	0.327551i
$890$	0.869116	−	6.49627i	0.0291328	−	0.217756i
$891$	−25.3981	−	1.95198i	−0.850869	−	0.0653937i
$892$	7.86004	−	7.79437i	0.263173	−	0.260975i
$893$	1.52278	−	0.879175i	0.0509577	−	0.0294205i
$894$	2.26481	−	0.882152i	0.0757465	−	0.0295036i
$895$	1.65052	+	2.85879i	0.0551709	+	0.0955588i
$896$	27.3352	−	12.1979i	0.913204	−	0.407502i
$897$	31.6119	+	19.0685i	1.05549	+	0.636679i
$898$	6.02367	+	0.805888i	0.201012	+	0.0268928i
$899$	−43.8971	−	25.3440i	−1.46405	−	0.845270i
$900$	19.8498	−	18.2287i	0.661659	−	0.607622i
$901$	0.822773	+	1.42509i	0.0274106	+	0.0474765i
$902$	−4.42600	−	3.41096i	−0.147370	−	0.113573i
$903$	27.0841	−	7.91505i	0.901301	−	0.263397i
$904$	−1.45515	−	11.6173i	−0.0483975	−	0.386387i
$905$	6.25368	−	10.8317i	0.207879	−	0.360058i
$906$	2.60367	−	16.9776i	0.0865010	−	0.564043i
$907$	20.5096	+	35.5236i	0.681009	+	1.17954i	0.974673	+	0.223634i	$0.0717919\pi$
$907$	20.5096	+	35.5236i	0.681009	+	1.17954i	−0.293664	+	0.955909i	$0.594875\pi$
$908$	53.2562	−	14.0308i	1.76737	−	0.465628i
$909$	−27.2742	+	43.3151i	−0.904629	+	1.43667i
$910$	−5.27865	+	14.3230i	−0.174985	+	0.474804i
$911$	9.51109	+	5.49123i	0.315117	+	0.181933i	0.649214	−	0.760606i	$-0.275098\pi$
$911$	9.51109	+	5.49123i	0.315117	+	0.181933i	−0.334097	+	0.942539i	$0.608431\pi$
$912$	1.04279	−	1.69640i	0.0345302	−	0.0561734i
$913$		−	38.7784i		−	1.28338i
$914$	35.6515	+	4.76970i	1.17925	+	0.157768i
$915$	−3.92196	−	7.10423i	−0.129656	−	0.234859i
$916$	2.03073	−	2.01376i	0.0670972	−	0.0665366i
$917$	−5.20631	+	5.65968i	−0.171927	+	0.186899i
$918$	1.55765	+	1.35006i	0.0514102	+	0.0445585i
$919$	−26.2668	+	15.1651i	−0.866461	+	0.500252i	−0.866171	−	0.499748i	$-0.833426\pi$
$919$	−26.2668	+	15.1651i	−0.866461	+	0.500252i	−0.000290594		1.00000i	$0.500092\pi$
$920$	7.45377	−	0.933633i	0.245743	−	0.0307810i
$921$	−21.0045	−	12.6701i	−0.692122	−	0.417493i
$922$	−5.00731	+	6.49739i	−0.164907	+	0.213980i
$923$	−69.0014	+	39.8380i	−2.27121	+	1.31128i
$924$	−12.5563	+	22.6990i	−0.413072	+	0.746743i
$925$	−15.3435	−	8.85858i	−0.504492	−	0.291268i
$926$	11.7227	−	4.82691i	0.385231	−	0.158622i
$927$	3.59119	+	0.137798i	0.117950	+	0.00452587i
$928$	16.6661	+	41.4600i	0.547092	+	1.36099i
$929$			28.0116i			0.919030i	0.888170	+	0.459515i	$0.151977\pi$
$929$			28.0116i			0.919030i	−0.888170	+	0.459515i	$0.848023\pi$
$930$	−4.06745	−	10.4426i	−0.133377	−	0.342428i
$931$	−2.00492	+	0.167596i	−0.0657086	+	0.00549275i
$932$	3.57895	+	13.5845i	0.117232	+	0.444975i
$933$	13.4395	−	22.2800i	0.439989	−	0.729415i
$934$	30.5197	−	12.5667i	0.998635	−	0.411197i
$935$	−0.490223	−	0.283030i	−0.0160320	−	0.00925607i
$936$	−39.8000	+	27.8083i	−1.30090	+	0.908943i
$937$			2.42016i			0.0790633i	0.999218	+	0.0395317i	$0.0125866\pi$
$937$			2.42016i			0.0790633i	−0.999218	+	0.0395317i	$0.987413\pi$
$938$	19.6065	−	53.2000i	0.640174	−	1.73704i
$939$	−46.3698	−	27.9706i	−1.51322	−	0.912786i
$940$	−6.19449	+	6.14274i	−0.202042	+	0.200354i
$941$	42.0620			1.37118			0.685591	−	0.727987i	$-0.259544\pi$
$941$	42.0620			1.37118			0.685591	+	0.727987i	$0.259544\pi$
$942$	9.13929	−	11.4000i	0.297774	−	0.371432i
$943$	5.20022			0.169343
$944$	3.08428	−	5.24011i	0.100385	−	0.170551i
$945$	6.82046	+	7.03987i	0.221869	+	0.229007i
$946$	−24.4287	−	3.26824i	−0.794246	−	0.106260i
$947$	−17.4443			−0.566863			−0.283431	−	0.958993i	$-0.591473\pi$
$947$	−17.4443			−0.566863			−0.283431	+	0.958993i	$0.591473\pi$
$948$	−10.1268	−	10.6116i	−0.328903	−	0.344648i
$949$			13.9050i			0.451377i
$950$	−1.44610	−	1.11446i	−0.0469176	−	0.0361578i
$951$	−29.5319	−	17.8139i	−0.957636	−	0.577654i
$952$	1.90968	−	0.871446i	0.0618931	−	0.0282437i
$953$	3.74284			0.121243			0.0606213	−	0.998161i	$-0.480692\pi$
$953$	3.74284			0.121243			0.0606213	+	0.998161i	$0.480692\pi$
$954$	−4.24384	+	24.5243i	−0.137399	+	0.794003i
$955$	−8.71873	−	5.03376i	−0.282132	−	0.162889i
$956$	42.6622	−	11.2397i	1.37979	−	0.363518i
$957$	−33.1585	−	20.0014i	−1.07186	−	0.646555i
$958$	5.41973	+	13.1624i	0.175104	+	0.425258i
$959$	−12.0290	+	3.76717i	−0.388437	+	0.121648i
$960$	−2.85873	+	9.45680i	−0.0922652	+	0.305217i
$961$	10.1765			0.328274
$962$	25.2822	+	19.4841i	0.815130	+	0.628192i
$963$	28.4251	−	45.1427i	0.915985	−	1.45470i
$964$	32.5148	−	8.56628i	1.04723	−	0.275901i
$965$	−4.11610	+	7.12929i	−0.132502	+	0.229500i
$966$	−3.63921	−	23.8651i	−0.117090	−	0.767845i
$967$	3.15781	−	1.82316i	0.101548	−	0.0586290i	−0.448366	−	0.893850i	$-0.647994\pi$
$967$	3.15781	−	1.82316i	0.101548	−	0.0586290i	0.549914	+	0.835221i	$0.314660\pi$
$968$	−6.73986	+	5.10462i	−0.216627	+	0.164069i
$969$	0.0721268	−	0.119572i	0.00231705	−	0.00384121i
$970$	−3.49670	+	1.43980i	−0.112272	+	0.0462291i
$971$	−0.651017	+	0.375865i	−0.0208921	+	0.0120621i	−0.510410	−	0.859931i	$-0.670506\pi$
$971$	−0.651017	+	0.375865i	−0.0208921	+	0.0120621i	0.489518	+	0.871993i	$0.337173\pi$
$972$	5.02011	+	30.7701i	0.161020	+	0.986951i
$973$	−11.1383	−	35.5658i	−0.357077	−	1.14019i
$974$	−35.9364	−	27.6949i	−1.15148	−	0.887401i
$975$	21.5144	+	38.9713i	0.689013	+	1.24808i
$976$	−22.6521	−	13.3328i	−0.725075	−	0.426773i
$977$	41.6379			1.33211			0.666056	−	0.745901i	$-0.267981\pi$
$977$	41.6379			1.33211			0.666056	+	0.745901i	$0.267981\pi$
$978$	−9.44640	−	1.44869i	−0.302063	−	0.0463239i
$979$	15.9327	+	9.19872i	0.509210	+	0.293992i
$980$	9.40707	−	3.33825i	0.300498	−	0.106637i
$981$	−1.98105	+	51.6287i	−0.0632500	+	1.64838i
$982$	11.7506	+	28.5376i	0.374976	+	0.910671i
$983$	−14.6018	−	25.2911i	−0.465726	−	0.806661i	0.533508	−	0.845795i	$-0.320873\pi$
$983$	−14.6018	−	25.2911i	−0.465726	−	0.806661i	−0.999234	+	0.0391340i	$0.987540\pi$
$984$	−2.77726	+	6.24979i	−0.0885358	+	0.199236i
$985$	−6.64332	−	3.83552i	−0.211674	−	0.122210i
$986$	1.19309	+	2.89754i	0.0379957	+	0.0922766i
$987$	20.2653	+	19.3724i	0.645052	+	0.616630i
$988$	2.31601	+	2.33553i	0.0736822	+	0.0743030i
$989$	19.8637	−	11.4683i	0.631629	−	0.364671i
$990$	−2.95384	−	8.03593i	−0.0938794	−	0.255399i
$991$	4.96358	+	2.86573i	0.157673	+	0.0910328i	0.576761	−	0.816913i	$-0.304317\pi$
$991$	4.96358	+	2.86573i	0.157673	+	0.0910328i	−0.419087	+	0.907946i	$0.637650\pi$
$992$	−28.5650	−	22.3985i	−0.906938	−	0.711152i
$993$	−12.2503	+	20.3085i	−0.388750	+	0.644471i
$994$	48.8867	+	18.0168i	1.55059	+	0.571459i
$995$	6.36141	+	11.0183i	0.201670	+	0.349303i
$996$	−46.1189	+	11.2093i	−1.46133	+	0.355180i
$997$	−17.8267	−	30.8768i	−0.564578	−	0.977878i	−0.997089	−	0.0762490i	$-0.975706\pi$
$997$	−17.8267	−	30.8768i	−0.564578	−	0.977878i	0.432511	−	0.901629i	$-0.357628\pi$
$998$	−5.92368	+	7.68646i	−0.187511	+	0.243311i
$999$	18.3100	−	9.21050i	0.579302	−	0.291407i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.bf.b.115.5	✓	180
7.5	odd	6		504.2.cz.b.187.55	yes	180
8.3	odd	2	inner	504.2.bf.b.115.6	yes	180
9.4	even	3		504.2.cz.b.283.63	yes	180
56.19	even	6		504.2.cz.b.187.63	yes	180
63.40	odd	6	inner	504.2.bf.b.355.5	yes	180
72.67	odd	6		504.2.cz.b.283.55	yes	180
504.355	even	6	inner	504.2.bf.b.355.6	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bf.b.115.5	✓	180	1.1	even	1	trivial
504.2.bf.b.115.6	yes	180	8.3	odd	2	inner
504.2.bf.b.355.5	yes	180	63.40	odd	6	inner
504.2.bf.b.355.6	yes	180	504.355	even	6	inner
504.2.cz.b.187.55	yes	180	7.5	odd	6
504.2.cz.b.187.63	yes	180	56.19	even	6
504.2.cz.b.283.55	yes	180	72.67	odd	6
504.2.cz.b.283.63	yes	180	9.4	even	3

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40172 - 0.187532i) q^{2} +(0.894629 - 1.48312i) q^{3} +(1.92966 + 0.525737i) q^{4} +(-0.356494 + 0.617465i) q^{5} +(-1.53216 + 1.91115i) q^{6} +(-0.577640 + 2.58192i) q^{7} +(-2.60626 - 1.09881i) q^{8} +(-1.39928 - 2.65368i) q^{9} +O(q^{10})\)	\(q+(-1.40172 - 0.187532i) q^{2} +(0.894629 - 1.48312i) q^{3} +(1.92966 + 0.525737i) q^{4} +(-0.356494 + 0.617465i) q^{5} +(-1.53216 + 1.91115i) q^{6} +(-0.577640 + 2.58192i) q^{7} +(-2.60626 - 1.09881i) q^{8} +(-1.39928 - 2.65368i) q^{9} +(0.615501 - 0.798662i) q^{10} +(1.41517 + 2.45114i) q^{11} +(2.50606 - 2.39158i) q^{12} +(2.86098 + 4.95536i) q^{13} +(1.29389 - 3.51082i) q^{14} +(0.596845 + 1.08112i) q^{15} +(3.44720 + 2.02899i) q^{16} +(0.242926 + 0.140253i) q^{17} +(1.46375 + 3.98214i) q^{18} +(0.248909 - 0.143708i) q^{19} +(-1.01254 + 1.00408i) q^{20} +(3.31253 + 3.16657i) q^{21} +(-1.52401 - 3.70121i) q^{22} +(3.22597 + 1.86251i) q^{23} +(-3.96131 + 2.88237i) q^{24} +(2.24582 + 3.88988i) q^{25} +(-3.08102 - 7.48258i) q^{26} +(-5.18756 - 0.298761i) q^{27} +(-2.47206 + 4.67856i) q^{28} +(-6.84087 - 3.94958i) q^{29} +(-0.633866 - 1.62737i) q^{30} +6.41689 q^{31} +(-4.45152 - 3.49055i) q^{32} +(4.90138 + 0.0940010i) q^{33} +(-0.314213 - 0.242153i) q^{34} +(-1.38832 - 1.27711i) q^{35} +(-1.30500 - 5.85636i) q^{36} +(-3.41601 + 1.97223i) q^{37} +(-0.375852 + 0.154760i) q^{38} +(9.90890 + 0.190038i) q^{39} +(1.60760 - 1.21756i) q^{40} +(1.20899 - 0.698011i) q^{41} +(-4.04941 - 5.05987i) q^{42} +(3.07872 - 5.33250i) q^{43} +(1.44214 + 5.47388i) q^{44} +(2.13739 + 0.0820139i) q^{45} +(-4.17264 - 3.21570i) q^{46} +6.11779 q^{47} +(6.09320 - 3.29741i) q^{48} +(-6.33267 - 2.98284i) q^{49} +(-2.41855 - 5.87371i) q^{50} +(0.425340 - 0.234813i) q^{51} +(2.91551 + 11.0663i) q^{52} +(5.08040 + 2.93317i) q^{53} +(7.21550 + 1.39162i) q^{54} -2.01799 q^{55} +(4.34253 - 6.09446i) q^{56} +(0.00954565 - 0.497727i) q^{57} +(8.84834 + 6.81911i) q^{58} -1.52010i q^{59} +(0.583322 + 2.39999i) q^{60} -6.57115 q^{61} +(-8.99472 - 1.20337i) q^{62} +(7.65988 - 2.07996i) q^{63} +(5.58522 + 5.72759i) q^{64} -4.07969 q^{65} +(-6.85276 - 1.05093i) q^{66} +15.1532 q^{67} +(0.395029 + 0.398357i) q^{68} +(5.64837 - 3.11823i) q^{69} +(1.70655 + 2.05052i) q^{70} +13.9246i q^{71} +(0.730994 + 8.45374i) q^{72} +(2.10454 + 1.21506i) q^{73} +(5.15816 - 2.12392i) q^{74} +(7.77833 + 0.149176i) q^{75} +(0.555864 - 0.146447i) q^{76} +(-7.14612 + 2.23798i) q^{77} +(-13.8539 - 2.12462i) q^{78} -4.23436i q^{79} +(-2.48174 + 1.40520i) q^{80} +(-5.08403 + 7.42648i) q^{81} +(-1.82557 + 0.751695i) q^{82} +(-11.8654 - 6.85049i) q^{83} +(4.72728 + 7.85193i) q^{84} +(-0.173203 + 0.0999988i) q^{85} +(-5.31553 + 6.89733i) q^{86} +(-11.9777 + 6.61241i) q^{87} +(-0.994953 - 7.94332i) q^{88} +(5.62925 - 3.25005i) q^{89} +(-2.98065 - 0.515790i) q^{90} +(-14.4470 + 4.52442i) q^{91} +(5.24584 + 5.29003i) q^{92} +(5.74074 - 9.51701i) q^{93} +(-8.57545 - 1.14728i) q^{94} +0.204924i q^{95} +(-9.15936 + 3.47939i) q^{96} +(-3.24788 - 1.87517i) q^{97} +(8.31727 + 5.36870i) q^{98} +(4.52433 - 7.18523i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9}+O(q^{10}) \) 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9	\( 180 q - 6 q^{2} - 6 q^{3} - 2 q^{4} - 6 q^{6} + 10 q^{9} - 8 q^{11} + 12 q^{12} + 10 q^{14} + 14 q^{16} - 18 q^{17} + 8 q^{18} - 6 q^{19} + 36 q^{20} - 16 q^{22} - 12 q^{24} - 78 q^{25} - 6 q^{26} + 16 q^{28} + q^{30} - 26 q^{32} - 36 q^{33} - 12 q^{34} - 12 q^{35} + 2 q^{36} - 27 q^{38} + 24 q^{40} - 42 q^{41} + 22 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} - 9 q^{48} + 2 q^{49} + 15 q^{50} + 9 q^{52} - 51 q^{54} + 14 q^{56} - 26 q^{57} + 19 q^{58} + 37 q^{60} - 8 q^{64} + 24 q^{65} + 6 q^{66} + 28 q^{67} + 12 q^{68} + 27 q^{70} - 28 q^{72} + 18 q^{73} + 49 q^{74} - 18 q^{75} - 12 q^{76} - 33 q^{78} - 63 q^{80} - 22 q^{81} - 54 q^{82} + 6 q^{83} + 31 q^{84} - 13 q^{86} + 29 q^{88} - 66 q^{89} - 51 q^{90} + 2 q^{91} - 60 q^{92} - 45 q^{96} - 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) \) 180 * q - 6 * q^2 - 6 * q^3 - 2 * q^4 - 6 * q^6 + 10 * q^9 - 8 * q^11 + 12 * q^12 + 10 * q^14 + 14 * q^16 - 18 * q^17 + 8 * q^18 - 6 * q^19 + 36 * q^20 - 16 * q^22 - 12 * q^24 - 78 * q^25 - 6 * q^26 + 16 * q^28 + q^30 - 26 * q^32 - 36 * q^33 - 12 * q^34 - 12 * q^35 + 2 * q^36 - 27 * q^38 + 24 * q^40 - 42 * q^41 + 22 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 - 9 * q^48 + 2 * q^49 + 15 * q^50 + 9 * q^52 - 51 * q^54 + 14 * q^56 - 26 * q^57 + 19 * q^58 + 37 * q^60 - 8 * q^64 + 24 * q^65 + 6 * q^66 + 28 * q^67 + 12 * q^68 + 27 * q^70 - 28 * q^72 + 18 * q^73 + 49 * q^74 - 18 * q^75 - 12 * q^76 - 33 * q^78 - 63 * q^80 - 22 * q^81 - 54 * q^82 + 6 * q^83 + 31 * q^84 - 13 * q^86 + 29 * q^88 - 66 * q^89 - 51 * q^90 + 2 * q^91 - 60 * q^92 - 45 * q^96 - 6 * q^97 + 31 * q^98 + 4 * q^99

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