LMFDB - Embedded newform 504.2.bf.b.115.6

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			115.6
Character	$\chi$	$=$	504.115
Dual form			504.2.bf.b.355.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40172 + 0.187532i) q^{2} +(0.894629 - 1.48312i) q^{3} +(1.92966 - 0.525737i) q^{4} +(0.356494 - 0.617465i) q^{5} +(-0.975890 + 2.24669i) q^{6} +(0.577640 - 2.58192i) q^{7} +(-2.60626 + 1.09881i) q^{8} +(-1.39928 - 2.65368i) q^{9} +O(q^{10})$	\(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} +(-0.975890 + 2.24669i) q^{6} +(0.577640 - 2.58192i) q^{7} +(-2.60626 + 1.09881i) q^{8} +(-1.39928 - 2.65368i) q^{9} +(-0.383911 + 0.932370i) q^{10} +(1.41517 + 2.45114i) q^{11} +(0.946602 - 3.33226i) q^{12} +(-2.86098 - 4.95536i) q^{13} +(-0.325497 + 3.72747i) q^{14} +(-0.596845 - 1.08112i) q^{15} +(3.44720 - 2.02899i) q^{16} +(0.242926 + 0.140253i) q^{17} +(2.45905 + 3.45732i) q^{18} +(0.248909 - 0.143708i) q^{19} +(0.363288 - 1.37892i) q^{20} +(-3.31253 - 3.16657i) q^{21} +(-2.44334 - 3.17044i) q^{22} +(-3.22597 - 1.86251i) q^{23} +(-0.701969 + 4.84843i) q^{24} +(2.24582 + 3.88988i) q^{25} +(4.93960 + 6.40953i) q^{26} +(-5.18756 - 0.298761i) q^{27} +(-0.242764 - 5.28593i) q^{28} +(6.84087 + 3.94958i) q^{29} +(1.03936 + 1.40351i) q^{30} -6.41689 q^{31} +(-4.45152 + 3.49055i) q^{32} +(4.90138 + 0.0940010i) q^{33} +(-0.366817 - 0.151040i) q^{34} +(-1.38832 - 1.27711i) q^{35} +(-4.09528 - 4.38506i) q^{36} +(3.41601 - 1.97223i) q^{37} +(-0.321953 + 0.248118i) q^{38} +(-9.90890 - 0.190038i) q^{39} +(-0.250638 + 2.00100i) q^{40} +(1.20899 - 0.698011i) q^{41} +(5.23708 + 3.81745i) q^{42} +(3.07872 - 5.33250i) q^{43} +(4.01945 + 3.98587i) q^{44} +(-2.13739 - 0.0820139i) q^{45} +(4.87120 + 2.00576i) q^{46} -6.11779 q^{47} +(0.0747303 - 6.92780i) q^{48} +(-6.33267 - 2.98284i) q^{49} +(-3.87751 - 5.03138i) q^{50} +(0.425340 - 0.234813i) q^{51} +(-8.12595 - 8.05806i) q^{52} +(-5.08040 - 2.93317i) q^{53} +(7.32755 - 0.554053i) q^{54} +2.01799 q^{55} +(1.33157 + 7.36389i) q^{56} +(0.00954565 - 0.497727i) q^{57} +(-10.3297 - 4.25334i) q^{58} -1.52010i q^{59} +(-1.72010 - 1.77242i) 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} +(-6.88802 + 0.787404i) q^{66} +15.1532 q^{67} +(0.542501 + 0.142926i) q^{68} +(-5.64837 + 3.11823i) q^{69} +(2.18555 + 1.52980i) q^{70} -13.9246i q^{71} +(6.56279 + 5.37864i) q^{72} +(2.10454 + 1.21506i) q^{73} +(-4.41845 + 3.40514i) q^{74} +(7.77833 + 0.149176i) q^{75} +(0.404759 - 0.408169i) q^{76} +(7.14612 - 2.23798i) q^{77} +(13.9252 - 1.59186i) q^{78} +4.23436i q^{79} +(-0.0239262 - 2.85185i) q^{80} +(-5.08403 + 7.42648i) q^{81} +(-1.56377 + 1.20514i) q^{82} +(-11.8654 - 6.85049i) q^{83} +(-8.05684 - 4.36890i) q^{84} +(0.173203 - 0.0999988i) q^{85} +(-3.31550 + 8.05205i) q^{86} +(11.9777 - 6.61241i) q^{87} +(-6.38164 - 4.83332i) q^{88} +(5.62925 - 3.25005i) q^{89} +(3.01141 - 0.285869i) q^{90} +(-14.4470 + 4.52442i) q^{91} +(-7.20422 - 1.89801i) q^{92} +(-5.74074 + 9.51701i) q^{93} +(8.57545 - 1.14728i) q^{94} -0.204924i q^{95} +(1.19443 + 9.72488i) q^{96} +(-3.24788 - 1.87517i) q^{97} +(9.43603 + 2.99354i) 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	−0.775234	−	0.631674i	$-0.782368\pi$
$5$	0.356494	−	0.617465i	0.159429	−	0.276139i	0.934663	+	0.355535i	$0.115701\pi$
$6$	−0.975890	+	2.24669i	−0.398406	+	0.917209i
$7$	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
$10$	−0.383911	+	0.932370i	−0.121403	+	0.294841i
$11$	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	$0.693013\pi$
$12$	0.946602	−	3.33226i	0.273260	−	0.961940i
$13$	−2.86098	−	4.95536i	−0.793493	−	1.37437i	−0.923792	−	0.382896i	$-0.874927\pi$
$13$	−2.86098	−	4.95536i	−0.793493	−	1.37437i	0.130298	−	0.991475i	$-0.458406\pi$
$14$	−0.325497	+	3.72747i	−0.0869928	+	0.996209i
$15$	−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	$0.655837\pi$
$18$	2.45905	+	3.45732i	0.579605	+	0.814898i
$19$	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	$0.322837\pi$
$20$	0.363288	−	1.37892i	0.0812338	−	0.308336i
$21$	−3.31253	−	3.16657i	−0.722852	−	0.691002i
$22$	−2.44334	−	3.17044i	−0.520922	−	0.675939i
$23$	−3.22597	−	1.86251i	−0.672661	−	0.388361i	0.124423	−	0.992229i	$-0.460292\pi$
$23$	−3.22597	−	1.86251i	−0.672661	−	0.388361i	−0.797084	+	0.603868i	$0.793625\pi$
$24$	−0.701969	+	4.84843i	−0.143289	+	0.989681i
$25$	2.24582	+	3.88988i	0.449165	+	0.777976i
$26$	4.93960	+	6.40953i	0.968735	+	1.25701i
$27$	−5.18756	−	0.298761i	−0.998346	−	0.0574966i
$28$	−0.242764	−	5.28593i	−0.0458780	−	0.998947i
$29$	6.84087	+	3.94958i	1.27032	+	0.733418i	0.975048	−	0.221996i	$-0.0712570\pi$
$29$	6.84087	+	3.94958i	1.27032	+	0.733418i	0.295270	+	0.955414i	$0.404590\pi$
$30$	1.03936	+	1.40351i	0.189760	+	0.256245i
$31$	−6.41689			−1.15251			−0.576254	−	0.817271i	$-0.695486\pi$
$31$	−6.41689			−1.15251			−0.576254	+	0.817271i	$0.695486\pi$
$32$	−4.45152	+	3.49055i	−0.786926	+	0.617048i
$33$	4.90138	+	0.0940010i	0.853221	+	0.0163635i
$34$	−0.366817	−	0.151040i	−0.0629086	−	0.0259031i
$35$	−1.38832	−	1.27711i	−0.234670	−	0.215871i
$36$	−4.09528	−	4.38506i	−0.682546	−	0.730843i
$37$	3.41601	−	1.97223i	0.561588	−	0.324233i	−0.192194	−	0.981357i	$-0.561560\pi$
$37$	3.41601	−	1.97223i	0.561588	−	0.324233i	0.753783	+	0.657124i	$0.228227\pi$
$38$	−0.321953	+	0.248118i	−0.0522276	+	0.0402500i
$39$	−9.90890	−	0.190038i	−1.58669	−	0.0304304i
$40$	−0.250638	+	2.00100i	−0.0396293	+	0.316385i
$41$	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	$0.298565\pi$
$42$	5.23708	+	3.81745i	0.808099	+	0.589046i
$43$	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	$0.0111008\pi$
$44$	4.01945	+	3.98587i	0.605955	+	0.600893i
$45$	−2.13739	−	0.0820139i	−0.318623	−	0.0122259i
$46$	4.87120	+	2.00576i	0.718219	+	0.295733i
$47$	−6.11779			−0.892371			−0.446185	−	0.894941i	$-0.647218\pi$
$47$	−6.11779			−0.892371			−0.446185	+	0.894941i	$0.647218\pi$
$48$	0.0747303	−	6.92780i	0.0107864	−	0.999942i
$49$	−6.33267	−	2.98284i	−0.904666	−	0.426120i
$50$	−3.87751	−	5.03138i	−0.548362	−	0.711544i
$51$	0.425340	−	0.234813i	0.0595596	−	0.0328804i
$52$	−8.12595	−	8.05806i	−1.12687	−	1.11745i
$53$	−5.08040	−	2.93317i	−0.697847	−	0.402902i	0.108698	−	0.994075i	$-0.465332\pi$
$53$	−5.08040	−	2.93317i	−0.697847	−	0.402902i	−0.806545	+	0.591173i	$0.798665\pi$
$54$	7.32755	−	0.554053i	0.997154	−	0.0753971i
$55$	2.01799			0.272106
$56$	1.33157	+	7.36389i	0.177939	+	0.984042i
$57$	0.00954565	−	0.497727i	0.00126435	−	0.0659256i
$58$	−10.3297	−	4.25334i	−1.35635	−	0.558491i
$59$		−	1.52010i		−	0.197901i	−0.995092	−	0.0989504i	$-0.968451\pi$
$59$		−	1.52010i		−	0.197901i	0.995092	−	0.0989504i	$-0.0315485\pi$
$60$	−1.72010	−	1.77242i	−0.222064	−	0.228819i
$61$	6.57115			0.841350			0.420675	−	0.907211i	$-0.361793\pi$
$61$	6.57115			0.841350			0.420675	+	0.907211i	$0.361793\pi$
$62$	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
$66$	−6.88802	+	0.787404i	−0.847856	+	0.0969227i
$67$	15.1532			1.85125			0.925627	−	0.378438i	$-0.123539\pi$
$67$	15.1532			1.85125			0.925627	+	0.378438i	$0.123539\pi$
$68$	0.542501	+	0.142926i	0.0657879	+	0.0173324i
$69$	−5.64837	+	3.11823i	−0.679984	+	0.375391i
$70$	2.18555	+	1.52980i	0.261223	+	0.182847i
$71$		−	13.9246i		−	1.65254i	−0.563271	−	0.826272i	$-0.690457\pi$
$71$		−	13.9246i		−	1.65254i	0.563271	−	0.826272i	$-0.309543\pi$
$72$	6.56279	+	5.37864i	0.773432	+	0.633879i
$73$	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	$0.621245\pi$
$74$	−4.41845	+	3.40514i	−0.513634	+	0.395840i
$75$	7.77833	+	0.149176i	0.898165	+	0.0172254i
$76$	0.404759	−	0.408169i	0.0464290	−	0.0468202i
$77$	7.14612	−	2.23798i	0.814376	−	0.255041i
$78$	13.9252	−	1.59186i	1.57672	−	0.180243i
$79$			4.23436i			0.476403i	0.971216	+	0.238201i	$0.0765578\pi$
$79$			4.23436i			0.476403i	−0.971216	+	0.238201i	$0.923442\pi$
$80$	−0.0239262	−	2.85185i	−0.00267503	−	0.318847i
$81$	−5.08403	+	7.42648i	−0.564893	+	0.825164i
$82$	−1.56377	+	1.20514i	−0.172690	+	0.133086i
$83$	−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	$0.937548\pi$
$84$	−8.05684	−	4.36890i	−0.879074	−	0.476686i
$85$	0.173203	−	0.0999988i	0.0187865	−	0.0108464i
$86$	−3.31550	+	8.05205i	−0.357520	+	0.868275i
$87$	11.9777	−	6.61241i	1.28415	−	0.708925i
$88$	−6.38164	−	4.83332i	−0.680286	−	0.515233i
$89$	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	$0.221380\pi$
$90$	3.01141	−	0.285869i	0.317431	−	0.0301332i
$91$	−14.4470	+	4.52442i	−1.51446	+	0.474288i
$92$	−7.20422	−	1.89801i	−0.751092	−	0.197881i
$93$	−5.74074	+	9.51701i	−0.595287	+	0.986868i
$94$	8.57545	−	1.14728i	0.884490	−	0.118333i
$95$		−	0.204924i		−	0.0210248i
$96$	1.19443	+	9.72488i	0.121906	+	0.992542i
$97$	−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	$0.727643\pi$
$98$	9.43603	+	2.99354i	0.953183	+	0.302394i
$99$	4.52433	−	7.18523i	0.454712	−	0.722143i
$100$	6.37874	+	6.32545i	0.637874	+	0.632545i
$101$	8.53112	+	14.7763i	0.848878	+	1.47030i	0.882210	+	0.470856i	$0.156055\pi$
$101$	8.53112	+	14.7763i	0.848878	+	1.47030i	−0.0333320	+	0.999444i	$0.510612\pi$
$102$	−0.552175	+	0.408908i	−0.0546735	+	0.0404880i
$103$	0.598972	−	1.03745i	0.0590185	−	0.102223i	−0.835007	−	0.550240i	$-0.814536\pi$
$103$	0.598972	−	1.03745i	0.0590185	−	0.102223i	0.894025	+	0.448017i	$0.147870\pi$
$104$	12.9015	+	9.77130i	1.26509	+	0.958155i
$105$	−3.13614	+	0.916507i	−0.306056	+	0.0894419i
$106$	7.67139	+	3.15876i	0.745111	+	0.306806i
$107$	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	$0.504087\pi$
$108$	−10.1673	+	2.15078i	−0.978350	+	0.206959i
$109$	14.9149	+	8.61112i	1.42859	+	0.824795i	0.997009	−	0.0772802i	$-0.0246236\pi$
$109$	14.9149	+	8.61112i	1.42859	+	0.824795i	0.431578	+	0.902076i	$0.357957\pi$
$110$	−2.82867	+	0.378439i	−0.269703	+	0.0360827i
$111$	0.131004	−	6.83076i	0.0124343	−	0.648347i
$112$	−3.24746	−	10.0724i	−0.306856	−	0.951756i
$113$	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	$0.770959\pi$
$114$	0.0799596	+	0.699467i	0.00748890	+	0.0655111i
$115$	−2.30007	+	1.32795i	−0.214483	+	0.123832i
$116$	15.2770	+	4.02486i	1.41844	+	0.373699i
$117$	−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
$120$	2.74349	+	2.16188i	0.250445	+	0.197351i
$121$	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
$126$	10.3470	−	4.35201i	0.921782	−	0.387708i
$127$			16.9073i			1.50028i	0.661281	+	0.750138i	$0.270013\pi$
$127$			16.9073i			1.50028i	−0.661281	+	0.750138i	$0.729987\pi$
$128$	−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	$0.626140\pi$
$132$	9.50744	−	2.39545i	0.827516	−	0.208497i
$133$	−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
$136$	−0.787241	−	0.0986070i	−0.0675053	−	0.00845548i
$137$	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	$0.768095\pi$
$138$	7.33269	−	5.43016i	0.624200	−	0.462246i
$139$	−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	$0.537132\pi$
$140$	−3.35042	−	1.73450i	−0.283162	−	0.146592i
$141$	−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
$144$	−10.2079	−	6.30864i	−0.850658	−	0.525720i
$145$	4.87746	−	2.81600i	0.405051	−	0.233856i
$146$	−3.17785	−	1.30851i	−0.263001	−	0.108293i
$147$	−10.0893	+	6.72355i	−0.832151	+	0.554549i
$148$	5.55487	−	5.60167i	0.456608	−	0.460454i
$149$	0.859327	+	0.496133i	0.0703988	+	0.0406448i	0.534786	−	0.844987i	$-0.320392\pi$
$149$	0.859327	+	0.496133i	0.0703988	+	0.0406448i	−0.464387	+	0.885632i	$0.653725\pi$
$150$	−10.9311	+	1.24958i	−0.892517	+	0.102028i
$151$	6.07267	−	3.50606i	0.494187	−	0.285319i	−0.232123	−	0.972686i	$-0.574567\pi$
$151$	6.07267	−	3.50606i	0.494187	−	0.285319i	0.726310	+	0.687368i	$0.241234\pi$
$152$	−0.490816	+	0.648046i	−0.0398104	+	0.0525635i
$153$	0.0322662	−	0.840901i	0.00260857	−	0.0679828i
$154$	−9.59720	+	4.47716i	−0.773364	+	0.360780i
$155$	−2.28758	+	3.96221i	−0.183743	+	0.318252i
$156$	−19.2208	+	4.84277i	−1.53889	+	0.387732i
$157$	5.96499			0.476058			0.238029	−	0.971258i	$-0.423499\pi$
$157$	5.96499			0.476058			0.238029	+	0.971258i	$0.423499\pi$
$158$	−0.794079	−	5.93541i	−0.0631735	−	0.472196i
$159$	−8.89531	+	4.91074i	−0.705444	+	0.389447i
$160$	0.568352	+	3.99302i	0.0449322	+	0.315676i
$161$	−6.67231	+	7.25334i	−0.525852	+	0.571643i
$162$	5.73371	−	11.3633i	0.450483	−	0.892785i
$163$	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	$0.784505\pi$
$164$	1.96598	−	1.98254i	0.153517	−	0.154810i
$165$	1.80535	−	2.99292i	0.140547	−	0.232999i
$166$	17.9167	+	7.37736i	1.39061	+	0.572594i
$167$	−5.12924	−	8.88411i	−0.396913	−	0.687473i	0.596431	−	0.802665i	$-0.296585\pi$
$167$	−5.12924	−	8.88411i	−0.396913	−	0.687473i	−0.993343	+	0.115192i	$0.963252\pi$
$168$	12.1128	+	4.61307i	0.934522	+	0.355906i
$169$	−9.87042	+	17.0961i	−0.759263	+	1.31508i
$170$	−0.224030	+	0.172652i	−0.0171823	+	0.0132418i
$171$	−0.729649	−	0.459439i	−0.0557976	−	0.0351341i
$172$	3.13740	−	11.9085i	0.239224	−	0.908016i
$173$	19.5273			1.48464			0.742318	−	0.670048i	$-0.233726\pi$
$173$	19.5273			1.48464			0.742318	+	0.670048i	$0.233726\pi$
$174$	−15.5494	+	11.5150i	−1.17880	+	0.872949i
$175$	11.3407	−	3.55160i	0.857273	−	0.268476i
$176$	9.85171	+	5.57821i	0.742601	+	0.420474i
$177$	−2.25450	−	1.35993i	−0.169458	−	0.102219i
$178$	−7.28117	+	5.61134i	−0.545746	+	0.420587i
$179$	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	$0.111312\pi$
$180$	−4.16756	+	0.965446i	−0.310632	+	0.0719601i
$181$	17.5422			1.30390			0.651950	−	0.758262i	$-0.273951\pi$
$181$	17.5422			1.30390			0.651950	+	0.758262i	$0.273951\pi$
$182$	19.4022	−	9.05127i	1.43819	−	0.670925i
$183$	5.87874	−	9.74579i	0.434569	−	0.720430i
$184$	10.4543	+	1.30947i	0.770699	+	0.0965351i
$185$		−	2.81236i		−	0.206769i
$186$	6.26218	−	14.4168i	0.459166	−	1.05709i
$187$			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	$-0.829330\pi$
$191$		−	14.1202i		−	1.02170i	0.859669	−	0.510851i	$-0.170670\pi$
$192$	−3.49800	−	13.4076i	−0.252446	−	0.967611i
$193$	11.5461			0.831104			0.415552	−	0.909570i	$-0.363589\pi$
$193$	11.5461			0.831104			0.415552	+	0.909570i	$0.363589\pi$
$194$	4.90429	+	2.01938i	0.352108	+	0.144983i
$195$	−3.64980	+	6.05066i	−0.261368	+	0.433297i
$196$	−13.7881	−	2.42656i	−0.984864	−	0.173326i
$197$		−	10.7590i		−	0.766549i	−0.923635	−	0.383274i	$-0.874796\pi$
$197$		−	10.7590i		−	0.766549i	0.923635	−	0.383274i	$-0.125204\pi$
$198$	−4.99440	+	10.9202i	−0.354937	+	0.776063i
$199$	−8.92219	+	15.4537i	−0.632477	+	1.09548i	0.354567	+	0.935031i	$0.384628\pi$
$199$	−8.92219	+	15.4537i	−0.632477	+	1.09548i	−0.987044	+	0.160452i	$0.948705\pi$
$200$	−10.1275	−	7.67032i	−0.716120	−	0.542373i
$201$	13.5565	−	22.4739i	0.956198	−	1.58519i
$202$	−14.7293	−	19.1125i	−1.03635	−	1.34475i
$203$	14.1491	−	15.3812i	0.993070	−	1.07955i
$204$	0.697314	−	0.676727i	0.0488217	−	0.0473804i
$205$		−	0.995347i		−	0.0695180i
$206$	−0.645038	+	1.56655i	−0.0449420	+	0.109146i
$207$	−0.428484	+	11.1669i	−0.0297817	+	0.776151i
$208$	−19.9168	−	11.2772i	−1.38098	−	0.781935i
$209$	0.704497	+	0.406742i	0.0487311	+	0.0281349i
$210$	4.22413	−	1.87282i	0.291493	−	0.129237i
$211$	−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	$0.937538\pi$
$212$	−11.3455	−	2.98908i	−0.779215	−	0.205291i
$213$	−20.6518	−	12.4573i	−1.41504	−	0.853563i
$214$	−15.3508	−	19.9189i	−1.04936	−	1.36163i
$215$	−2.19509	−	3.80200i	−0.149704	−	0.259295i
$216$	13.8484	−	4.92150i	0.942266	−	0.334866i
$217$	−3.70665	+	16.5679i	−0.251624	+	1.12470i
$218$	−22.5214	−	9.27339i	−1.52534	−	0.628073i
$219$	3.68486	−	2.03426i	0.249000	−	0.137463i
$220$	3.89405	−	1.06093i	0.262537	−	0.0715282i
$221$		−	1.60505i		−	0.107967i
$222$	1.09736	+	9.59941i	0.0736498	+	0.644270i
$223$	−2.76736	+	4.79321i	−0.185316	+	0.320977i	−0.943683	−	0.330851i	$-0.892664\pi$
$223$	−2.76736	+	4.79321i	−0.185316	+	0.320977i	0.758367	+	0.651828i	$0.225998\pi$
$224$	6.44095	+	13.5098i	0.430354	+	0.902660i
$225$	7.17997	−	11.4027i	0.478664	−	0.760182i
$226$	−3.57346	−	4.63685i	−0.237703	−	0.308439i
$227$	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	$-0.0335634\pi$
$228$	−0.243254	−	0.965465i	−0.0161099	−	0.0639395i
$229$	−0.714978	+	1.23838i	−0.0472471	+	0.0818344i	−0.888682	−	0.458524i	$-0.848378\pi$
$229$	−0.714978	+	1.23838i	−0.0472471	+	0.0818344i	0.841435	+	0.540359i	$0.181711\pi$
$230$	2.97504	−	2.29276i	0.196168	−	0.151180i
$231$	3.07394	−	12.6007i	0.202250	−	0.829065i
$232$	−22.1690	−	2.77681i	−1.45546	−	0.182306i
$233$	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	$0.759435\pi$
$234$	10.0970	−	22.0768i	0.660059	−	1.44321i
$235$	−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
$238$	−0.601862	+	0.859847i	−0.0390129	+	0.0557356i
$239$	−19.1036	+	11.0295i	−1.23571	+	0.713438i	−0.968215	−	0.250121i	$-0.919530\pi$
$239$	−19.1036	+	11.0295i	−1.23571	+	0.713438i	−0.267496	+	0.963559i	$0.586196\pi$
$240$	−4.25104	−	2.51586i	−0.274403	−	0.162398i
$241$	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	$0.151197\pi$
$242$	−1.60955	+	3.90897i	−0.103466	+	0.251278i
$243$	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
$246$	0.388376	+	3.39742i	0.0247619	+	0.216611i
$247$	−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	$-0.234387\pi$
$252$	−13.6875	+	8.04071i	−0.862230	+	0.506517i
$253$		−	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	$0.817624\pi$
$258$	8.97600	+	12.1209i	0.558821	+	0.754613i
$259$	−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
$262$	−3.80092	−	1.56506i	−0.234822	−	0.0966899i
$263$	7.44710	−	4.29958i	0.459208	−	0.265124i	−0.252503	−	0.967596i	$-0.581254\pi$
$263$	7.44710	−	4.29958i	0.459208	−	0.265124i	0.711711	+	0.702472i	$0.247921\pi$
$264$	−12.8776	+	5.14071i	−0.792560	+	0.316389i
$265$	−3.62226	+	2.09131i	−0.222514	+	0.128468i
$266$	0.454648	+	0.974580i	0.0278763	+	0.0597553i
$267$	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	−0.984584	−	0.174914i	$-0.944035\pi$
$269$	−5.58973	+	9.68170i	−0.340812	+	0.590304i	0.643772	+	0.765218i	$0.277369\pi$
$270$	2.27012	−	4.72203i	0.138155	−	0.287373i
$271$	13.9132	+	24.0984i	0.845169	+	1.46388i	0.885474	+	0.464689i	$0.153834\pi$
$271$	13.9132	+	24.0984i	0.845169	+	1.46388i	−0.0403045	+	0.999187i	$0.512833\pi$
$272$	1.12199	−	0.00941315i	0.0680304	−	0.000570756i
$273$	−6.21444	+	25.4743i	−0.376115	+	1.54177i
$274$	−4.11286	−	5.33677i	−0.248467	−	0.322406i
$275$	−6.35643	+	11.0097i	−0.383307	+	0.663908i
$276$	−9.26008	+	8.98670i	−0.557391	+	0.540936i
$277$	−20.8327	+	12.0278i	−1.25172	+	0.722680i	−0.971451	−	0.237242i	$-0.923757\pi$
$277$	−20.8327	+	12.0278i	−1.25172	+	0.722680i	−0.280268	+	0.959922i	$0.590423\pi$
$278$	15.7791	−	12.1604i	0.946367	−	0.729331i
$279$	8.97903	+	17.0284i	0.537560	+	1.01946i
$280$	5.02165	+	1.80298i	0.300101	+	0.107749i
$281$	−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	$0.908421\pi$
$282$	5.97029	−	13.7448i	0.355526	−	0.818491i
$283$			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
$286$	−8.72031	+	21.1782i	−0.515642	+	1.25229i
$287$	−1.10385	−	3.52472i	−0.0651583	−	0.208058i
$288$	15.4917	+	6.92867i	0.912859	+	0.408276i
$289$	−8.46066	−	14.6543i	−0.497686	−	0.862017i
$290$	−6.30876	+	4.86194i	−0.370463	+	0.285503i
$291$	−5.68675	+	3.13942i	−0.333363	+	0.184036i
$292$	4.69986	+	1.23822i	0.275039	+	0.0724612i
$293$	−3.20765	−	5.55582i	−0.187393	−	0.324574i	0.756987	−	0.653430i	$-0.226670\pi$
$293$	−3.20765	−	5.55582i	−0.187393	−	0.324574i	−0.944380	+	0.328855i	$0.893337\pi$
$294$	12.8815	−	11.3166i	0.751266	−	0.660000i
$295$	−0.938612	−	0.541908i	−0.0546481	−	0.0315511i
$296$	−6.73590	+	8.89372i	−0.391516	+	0.516937i
$297$	−6.60895	−	13.1382i	−0.383490	−	0.762358i
$298$	−1.29758	−	0.534290i	−0.0751668	−	0.0309506i
$299$			21.3145i			1.23265i
$300$	15.0880	−	3.80150i	0.871106	−	0.219480i
$301$	−11.9897	−	11.0293i	−0.691076	−	0.635717i
$302$	−7.85471	+	6.05335i	−0.451988	+	0.348331i
$303$	29.5472	+	0.566671i	1.69744	+	0.0325544i
$304$	0.566459	−	1.00043i	0.0324886	−	0.0573783i
$305$	2.34257	−	4.05746i	0.134135	−	0.232329i
$306$	0.112468	+	1.18476i	0.00642935	+	0.0677283i
$307$		−	14.1624i		−	0.808291i	−0.914695	−	0.404145i	$-0.867569\pi$
$307$		−	14.1624i		−	0.808291i	0.914695	−	0.404145i	$-0.132431\pi$
$308$	12.6130	−	8.07552i	0.718693	−	0.460146i
$309$	−1.00280	−	1.81648i	−0.0570475	−	0.103336i
$310$	2.46352	−	5.98292i	0.139918	−	0.339807i
$311$	−15.0224			−0.851843			−0.425921	−	0.904760i	$-0.640050\pi$
$311$	−15.0224			−0.851843			−0.425921	+	0.904760i	$0.640050\pi$
$312$	26.0340	−	10.3927i	1.47389	−	0.588373i
$313$		−	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	$0.188886\pi$
$317$			19.9120i			1.11837i	−0.829043	+	0.559185i	$0.811114\pi$
$318$	11.5479	−	8.55166i	0.647571	−	0.479553i
$319$			22.3573i			1.25177i
$320$	−1.54549	−	5.49053i	−0.0863957	−	0.306930i
$321$	30.7940	+	0.590581i	1.71875	+	0.0329630i
$322$	7.99251	−	11.4185i	0.445405	−	0.636326i
$323$	0.0806220			0.00448593
$324$	−5.90610	+	17.0035i	−0.328117	+	0.944637i
$325$	12.8505	−	22.2578i	0.712819	−	1.23464i
$326$	−3.36810	−	4.37039i	−0.186542	−	0.242053i
$327$	26.1146	−	14.4168i	1.44414	−	0.797251i
$328$	−2.38397	+	3.14766i	−0.131632	+	0.173800i
$329$	−3.53388	+	15.7957i	−0.194829	+	0.870843i
$330$	−1.96934	+	4.53382i	−0.108409	+	0.249578i
$331$	−13.6931			−0.752642			−0.376321	−	0.926489i	$-0.622811\pi$
$331$	−13.6931			−0.752642			−0.376321	+	0.926489i	$0.622811\pi$
$332$	−26.4978	−	6.98106i	−1.45425	−	0.383135i
$333$	−10.0136	−	6.30529i	−0.548743	−	0.345528i
$334$	8.85584	+	11.4912i	0.484570	+	0.628769i
$335$	5.40201	−	9.35655i	0.295143	−	0.511203i
$336$	−17.8439	−	4.19472i	−0.973464	−	0.228841i
$337$	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	$0.556853\pi$
$338$	10.6295	−	25.8150i	0.578171	−	1.40415i
$339$	7.16841	+	0.137479i	0.389334	+	0.00746684i
$340$	0.281650	−	0.284023i	0.0152746	−	0.0154033i
$341$	−9.08098	−	15.7287i	−0.491762	−	0.851757i
$342$	1.10893	+	0.507174i	0.0599639	+	0.0274248i
$343$	−11.3595	+	14.6275i	−0.613354	+	0.789808i
$344$	−2.16454	+	17.2808i	−0.116704	+	0.931720i
$345$	−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	$0.656003\pi$
$348$	19.6366	−	19.0569i	1.05263	−	1.02156i
$349$	−7.81454	+	13.5352i	−0.418303	+	0.724521i	−0.995769	−	0.0918932i	$-0.970708\pi$
$349$	−7.81454	+	13.5352i	−0.418303	+	0.724521i	0.577466	+	0.816415i	$0.304041\pi$
$350$	−15.2304	+	7.10510i	−0.814101	+	0.379784i
$351$	13.3610	+	26.5610i	0.713159	+	1.41772i
$352$	−14.8555	−	5.97161i	−0.791800	−	0.318288i
$353$	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	$0.0687852\pi$
$354$	3.41521	+	1.48346i	0.181516	+	0.0788448i
$355$	−8.59795	−	4.96403i	−0.456332	−	0.263463i
$356$	9.15388	−	9.23100i	0.485155	−	0.489242i
$357$	−0.360576	−	1.23383i	−0.0190837	−	0.0653014i
$358$	−2.49298	+	6.05447i	−0.131758	+	0.319989i
$359$	−26.2761	+	15.1705i	−1.38680	+	0.800668i	−0.992953	−	0.118508i	$-0.962189\pi$
$359$	−26.2761	+	15.1705i	−1.38680	+	0.800668i	−0.393845	+	0.919177i	$0.628855\pi$
$360$	5.66072	−	2.13484i	0.298346	−	0.112516i
$361$	−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
$364$	−25.4992	+	16.3259i	−1.33652	+	0.855711i
$365$	1.50051	−	0.866322i	0.0785405	−	0.0453454i
$366$	−6.41272	+	14.7634i	−0.335198	+	0.771694i
$367$	9.25187	+	16.0247i	0.482944	+	0.836483i	0.999808	−	0.0195843i	$-0.00623427\pi$
$367$	9.25187	+	16.0247i	0.482944	+	0.836483i	−0.516865	+	0.856067i	$0.672901\pi$
$368$	−14.8996	+	0.125003i	−0.776694	+	0.00651624i
$369$	−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
$372$	−6.07424	+	21.3827i	−0.314935	+	1.10864i
$373$	−0.475709	−	0.274651i	−0.0246313	−	0.0142209i	0.487634	−	0.873048i	$-0.337860\pi$
$373$	−0.475709	−	0.274651i	−0.0246313	−	0.0142209i	−0.512265	+	0.858827i	$0.671193\pi$
$374$	−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
$378$	2.80216	−	19.2392i	0.144128	−	0.989559i
$379$	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	−0.947199	−	0.320648i	$-0.896099\pi$
$383$	−3.83404	+	6.64075i	−0.195910	+	0.339326i	0.751288	+	0.659974i	$0.229433\pi$
$384$	7.41759	+	18.1378i	0.378527	+	0.925590i
$385$	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
$388$	−7.25317	−	1.91091i	−0.368224	−	0.0970116i
$389$	11.0202	−	6.36254i	0.558749	−	0.322594i	−0.193894	−	0.981022i	$-0.562112\pi$
$389$	11.0202	−	6.36254i	0.558749	−	0.322594i	0.752643	+	0.658429i	$0.228779\pi$
$390$	3.98133	−	9.16581i	0.201602	−	0.464129i
$391$	−0.522447	−	0.904905i	−0.0264213	−	0.0457630i
$392$	19.7822	+	0.815661i	0.999151	+	0.0411971i
$393$	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
$396$	4.95289	−	16.2437i	0.248892	−	0.816276i
$397$	−6.55798	−	11.3587i	−0.329135	−	0.570079i	0.653205	−	0.757181i	$-0.273424\pi$
$397$	−6.55798	−	11.3587i	−0.329135	−	0.570079i	−0.982341	+	0.187102i	$0.940091\pi$
$398$	9.60839	−	23.3350i	0.481625	−	1.16968i
$399$	−1.27958	−	0.312153i	−0.0640592	−	0.0156272i
$400$	15.6343	+	8.85245i	0.781717	+	0.442622i
$401$	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	$0.146539\pi$
$402$	−14.7878	+	34.0445i	−0.737550	+	1.69799i
$403$	18.3586	+	31.7980i	0.914507	+	1.58397i
$404$	24.2307	+	24.0282i	1.20552	+	1.19545i
$405$	2.77317	+	5.78671i	0.137800	+	0.287544i
$406$	−16.9486	+	24.2136i	−0.841146	+	1.20170i
$407$	9.66845	+	5.58208i	0.479247	+	0.276693i
$408$	−0.850534	+	1.07935i	−0.0421077	+	0.0534360i
$409$		−	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
$412$	0.610388	−	2.31683i	0.0300717	−	0.114142i
$413$	−3.92480	−	0.878073i	−0.193127	−	0.0432071i
$414$	−1.49353	−	15.7332i	−0.0734030	−	0.773246i
$415$	−8.45988	+	4.88431i	−0.415279	+	0.239762i
$416$	30.0327	+	12.0725i	1.47247	+	0.591905i
$417$	−0.467838	+	24.3939i	−0.0229101	+	1.19457i
$418$	−1.06379	−	0.438024i	−0.0520316	−	0.0214244i
$419$	−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	$0.390311\pi$
$420$	−5.56986	+	3.41734i	−0.271781	+	0.166749i
$421$	−24.0927	−	13.9099i	−1.17421	−	0.677928i	−0.219539	−	0.975604i	$-0.570455\pi$
$421$	−24.0927	−	13.9099i	−1.17421	−	0.677928i	−0.954667	+	0.297676i	$0.903789\pi$
$422$	8.06436	+	10.4642i	0.392567	+	0.509387i
$423$	8.56049	+	16.2346i	0.416225	+	0.789356i
$424$	16.4639	+	2.06221i	0.799556	+	0.100150i
$425$			1.25994i			0.0611159i
$426$	31.2843	+	13.5889i	1.51573	+	0.658383i
$427$	3.79576	−	16.9662i	0.183690	−	0.821053i
$428$	25.2531	+	25.0421i	1.22065	+	1.21045i
$429$	−13.5569	−	24.5571i	−0.654536	−	1.18563i
$430$	3.78991	+	4.91771i	0.182766	+	0.237153i
$431$	−5.67271	−	3.27514i	−0.273245	−	0.157758i	0.357116	−	0.934060i	$-0.383760\pi$
$431$	−5.67271	−	3.27514i	−0.273245	−	0.157758i	−0.630361	+	0.776302i	$0.717093\pi$
$432$	−18.4887	+	9.49562i	−0.889540	+	0.456858i
$433$		−	5.57289i		−	0.267816i	−0.990994	−	0.133908i	$-0.957247\pi$
$433$		−	5.57289i		−	0.267816i	0.990994	−	0.133908i	$-0.0427526\pi$
$434$	2.08868	−	23.9188i	0.100260	−	1.14814i
$435$	0.187050	−	9.75312i	0.00896835	−	0.467626i
$436$	33.3079	+	8.77524i	1.59516	+	0.420258i
$437$	−1.07063			−0.0512153
$438$	−4.78367	+	3.54250i	−0.228573	+	0.169267i
$439$	−10.7098			−0.511150			−0.255575	−	0.966789i	$-0.582265\pi$
$439$	−10.7098			−0.511150			−0.255575	+	0.966789i	$0.582265\pi$
$440$	−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	$0.420704\pi$
$444$	−3.33839	−	13.2499i	−0.158433	−	0.628815i
$445$		−	4.63449i		−	0.219696i
$446$	2.98019	−	7.23772i	0.141116	−	0.342716i
$447$	1.50460	−	0.830629i	0.0711652	−	0.0392874i
$448$	−11.5620	−	17.7291i	−0.546251	−	0.837621i
$449$	−4.29733			−0.202803			−0.101402	−	0.994846i	$-0.532333\pi$
$449$	−4.29733			−0.202803			−0.101402	+	0.994846i	$0.532333\pi$
$450$	−7.92595	+	17.3300i	−0.373633	+	0.816942i
$451$	3.42185	+	1.97561i	0.161129	+	0.0930276i
$452$	5.87856	+	5.82945i	0.276504	+	0.274194i
$453$	0.232886	−	12.1431i	0.0109419	−	0.570533i
$454$	−30.8456	+	23.7716i	−1.44766	+	1.11566i
$455$	−2.35659	+	10.5334i	−0.110479	+	0.493815i
$456$	0.522031	+	1.30770i	0.0244463	+	0.0612386i
$457$	−25.4340			−1.18975			−0.594877	−	0.803817i	$-0.702799\pi$
$457$	−25.4340			−1.18975			−0.594877	+	0.803817i	$0.702799\pi$
$458$	0.769966	−	1.86995i	0.0359782	−	0.0873769i
$459$	−1.21829	−	0.800148i	−0.0568649	−	0.0373477i
$460$	−3.74022	+	3.77173i	−0.174389	+	0.175858i
$461$	−2.90020	+	5.02329i	−0.135076	+	0.233958i	−0.925626	−	0.378439i	$-0.876461\pi$
$461$	−2.90020	+	5.02329i	−0.135076	+	0.233958i	0.790551	+	0.612397i	$0.209794\pi$
$462$	−1.94577	+	18.2392i	−0.0905255	+	0.848563i
$463$	7.76338	−	4.48219i	0.360795	−	0.208305i	−0.308634	−	0.951181i	$-0.599872\pi$
$463$	7.76338	−	4.48219i	0.360795	−	0.208305i	0.669429	+	0.742876i	$0.266539\pi$
$464$	31.5955	−	0.265077i	1.46679	−	0.0123059i
$465$	3.82989	+	6.93746i	0.177607	+	0.321717i
$466$	−6.06363	−	7.86805i	−0.280892	−	0.364480i
$467$	−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	$0.514905\pi$
$468$	−10.0130	+	32.8391i	−0.462853	+	1.51799i
$469$	8.75306	−	39.1243i	0.404179	−	1.80659i
$470$	2.34869	−	5.70404i	0.108337	−	0.263108i
$471$	5.33645	−	8.84678i	0.245891	−	0.407638i
$472$	1.67031	+	3.96179i	0.0768823	+	0.182356i
$473$	17.4276			0.801322
$474$	−9.51332	−	4.13227i	−0.436961	−	0.189801i
$475$	1.11801	+	0.645486i	0.0512980	+	0.0296169i
$476$	0.682395	−	1.31814i	0.0312775	−	0.0604167i
$477$	−0.674796	+	17.5861i	−0.0308968	+	0.805211i
$478$	24.7096	−	19.0428i	1.13019	−	0.870999i
$479$	5.03268	+	8.71685i	0.229949	+	0.398283i	0.957793	−	0.287460i	$-0.0928108\pi$
$479$	5.03268	+	8.71685i	0.229949	+	0.398283i	−0.727844	+	0.685743i	$0.759477\pi$
$480$	6.43059	+	2.72934i	0.293515	+	0.124577i
$481$	−19.5463	−	11.2850i	−0.891233	−	0.514554i
$482$	−18.8323	+	14.5134i	−0.857789	+	0.661068i
$483$	4.78832	+	16.3849i	0.217876	+	0.745538i
$484$	1.52309	−	5.78114i	0.0692314	−	0.262779i
$485$	−2.31570	+	1.33697i	−0.105151	+	0.0607087i
$486$	−11.7236	−	18.6697i	−0.531792	−	0.846875i
$487$	−27.7833	−	16.0407i	−1.25898	−	0.726873i	−0.286104	−	0.958199i	$-0.592360\pi$
$487$	−27.7833	−	16.0407i	−1.25898	−	0.726873i	−0.972876	+	0.231326i	$0.925694\pi$
$488$	−17.1262	+	7.22047i	−0.775265	+	0.326855i
$489$	6.75646	+	0.129579i	0.305538	+	0.00585975i
$490$	5.21230	−	4.75924i	0.235468	−	0.215001i
$491$	−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	$0.997223\pi$
$492$	−1.18152	−	4.68941i	−0.0532671	−	0.211415i
$493$	1.10788	+	1.91891i	0.0498965	+	0.0864233i
$494$	2.15061	+	0.885533i	0.0967606	+	0.0398420i
$495$	−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
$498$	26.9703	−	19.9726i	1.20857	−	0.894994i
$499$	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	$-0.281631\pi$
$503$	28.4143			1.26693			0.633466	+	0.773770i	$0.281631\pi$
$504$	17.6782	−	13.8377i	0.787449	−	0.616380i
$505$	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	−0.920731	−	0.390197i	$-0.872407\pi$
$509$	−2.76249	+	4.78477i	−0.122445	+	0.212081i	0.798286	+	0.602278i	$0.205740\pi$
$510$	0.0556397	+	0.486722i	0.00246377	+	0.0215524i
$511$	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
$514$	19.1471	+	7.88398i	0.844542	+	0.347747i
$515$	−0.427060	−	0.739689i	−0.0188185	−	0.0325946i
$516$	−14.8549	−	15.3068i	−0.653952	−	0.673846i
$517$	−8.65769	−	14.9956i	−0.380765	−	0.659504i
$518$	6.23954	+	13.3750i	0.274150	+	0.587665i
$519$	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	$0.379307\pi$
$522$	3.16713	+	33.3633i	0.138621	+	1.46027i
$523$	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	$0.139297\pi$
$524$	5.62135	+	1.48099i	0.245570	+	0.0646974i
$525$	4.87824	−	19.9969i	0.212904	−	0.872736i
$526$	−9.63247	+	7.42340i	−0.419996	+	0.323676i
$527$	−1.55883	−	0.899990i	−0.0679036	−	0.0392042i
$528$	17.0868	−	9.62082i	0.743606	−	0.418692i
$529$	−4.56209	−	7.90177i	−0.198352	−	0.343555i
$530$	4.68523	−	3.61074i	0.203513	−	0.156840i
$531$	−4.03387	+	2.12705i	−0.175055	+	0.0923062i
$532$	−0.820057	−	1.28083i	−0.0355540	−	0.0555311i
$533$	−6.91780	−	3.99399i	−0.299643	−	0.172999i
$534$	1.80834	+	15.8189i	0.0782544	+	0.684550i
$535$	12.6785			0.548138
$536$	−39.4931	+	16.6505i	−1.70584	+	0.719192i
$537$	−3.87569	−	7.02042i	−0.167248	−	0.302954i
$538$	6.01964	−	14.6193i	0.259525	−	0.630284i
$539$	−1.65041	−	19.7435i	−0.0710882	−	0.850412i
$540$	−2.29655	+	7.04470i	−0.0988277	+	0.303156i
$541$	15.4322	−	8.90977i	0.663481	−	0.383061i	−0.130121	−	0.991498i	$-0.541537\pi$
$541$	15.4322	−	8.90977i	0.663481	−	0.383061i	0.793602	+	0.608437i	$0.208203\pi$
$542$	−24.0218	−	31.1702i	−1.03182	−	1.33887i
$543$	15.6937	−	26.0171i	0.673483	−	1.11650i
$544$	−1.57095	+	0.223603i	−0.0673540	+	0.00958691i
$545$	10.6341	−	6.13962i	0.455516	−	0.262992i
$546$	3.93368	−	36.8733i	0.168346	−	1.57803i
$547$	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	$0.138328\pi$
$548$	6.76592	+	6.70939i	0.289026	+	0.286611i
$549$	−9.19488	−	17.4377i	−0.392428	−	0.744224i
$550$	6.84530	−	16.6246i	0.291885	−	0.708873i
$551$	2.27034			0.0967199
$552$	11.2948	−	14.3334i	0.480738	−	0.610072i
$553$	10.9328	+	2.44593i	0.464910	+	0.104012i
$554$	26.9462	−	20.7665i	1.14483	−	0.882283i
$555$	−4.17106	−	2.51601i	−0.177052	−	0.106799i
$556$	−19.8375	+	20.0046i	−0.841296	+	0.848384i
$557$	−0.756927	−	0.437012i	−0.0320720	−	0.0185168i	0.483878	−	0.875135i	$-0.339228\pi$
$557$	−0.756927	−	0.437012i	−0.0320720	−	0.0185168i	−0.515950	+	0.856619i	$0.672561\pi$
$558$	−15.7795	−	22.1852i	−0.667999	−	0.939176i
$559$	−35.2326			−1.49018
$560$	−7.37708	−	1.58557i	−0.311739	−	0.0670024i
$561$	1.17749	+	0.710270i	0.0497136	+	0.0299876i
$562$	13.0913	−	31.7935i	0.552221	−	1.34113i
$563$			8.67837i			0.365750i	0.983136	+	0.182875i	$0.0585403\pi$
$563$			8.67837i			0.365750i	−0.983136	+	0.182875i	$0.941460\pi$
$564$	−5.79111	+	20.3860i	−0.243850	+	0.858407i
$565$	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	$0.305607\pi$
$570$	0.460402	+	0.199983i	0.0192841	+	0.00837638i
$571$	34.1637			1.42971			0.714853	−	0.699275i	$-0.246494\pi$
$571$	34.1637			1.42971			0.714853	+	0.699275i	$0.246494\pi$
$572$	8.25187	−	31.3213i	0.345028	−	1.30961i
$573$	−20.9419	−	12.6323i	−0.874861	−	0.527723i
$574$	2.20829	+	4.73368i	0.0921724	+	0.197580i
$575$		−	16.7315i		−	0.697752i
$576$	−23.0145	−	6.80689i	−0.958937	−	0.283620i
$577$	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	$0.477921\pi$
$578$	14.6077	+	18.9546i	0.607599	+	0.788409i
$579$	10.3294	−	17.1242i	0.429277	−	0.711656i
$580$	7.93137	−	7.99819i	0.329332	−	0.332107i
$581$	−24.5414	+	26.6784i	−1.01815	+	1.10681i
$582$	7.38251	−	5.46705i	0.306015	−	0.226616i
$583$		−	16.6037i		−	0.687655i
$584$	−6.82012	−	0.854264i	−0.282219	−	0.0353497i
$585$	5.70862	+	10.8262i	0.236022	+	0.447608i
$586$	5.53814	+	7.18619i	0.228779	+	0.296859i
$587$	−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	$0.834936\pi$
$588$	−15.9341	+	18.2785i	−0.657112	+	0.753793i
$589$	−1.59723	+	0.922159i	−0.0658125	+	0.0379969i
$590$	1.41730	+	0.583586i	0.0583493	+	0.0240258i
$591$	−15.9569	−	9.62533i	−0.656379	−	0.395933i
$592$	7.77402	−	13.7297i	0.319510	−	0.564289i
$593$	−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	$0.885025\pi$
$594$	11.7278	+	17.1768i	0.481196	+	0.704772i
$595$	−0.158140	−	0.504960i	−0.00648313	−	0.0207014i
$596$	1.91905	+	0.505589i	0.0786072	+	0.0207097i
$597$	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	$0.0954567\pi$
$599$			14.4601i			0.590823i	−0.955370	+	0.295411i	$0.904543\pi$
$600$	−20.4363	+	8.15814i	−0.834309	+	0.333055i
$601$	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	$0.434404\pi$
$602$	18.8746	+	13.2116i	0.769272	+	0.538463i
$603$	−21.2035	−	40.2116i	−0.863474	−	1.63754i
$604$	9.87494	−	9.95813i	0.401806	−	0.405191i
$605$	−1.06563	−	1.84573i	−0.0433242	−	0.0750397i
$606$	−41.5234	+	4.74674i	−1.68677	+	0.192823i
$607$	21.2715	−	36.8433i	0.863383	−	1.49542i	−0.00526028	−	0.999986i	$-0.501674\pi$
$607$	21.2715	−	36.8433i	0.863383	−	1.49542i	0.868644	−	0.495438i	$-0.164992\pi$
$608$	−0.606407	+	1.50855i	−0.0245931	+	0.0611798i
$609$	−10.1539	−	34.7452i	−0.411458	−	1.40795i
$610$	−2.52274	+	6.12675i	−0.102143	+	0.248065i
$611$	17.5029	+	30.3159i	0.708090	+	1.22645i
$612$	−0.379830	−	1.63962i	−0.0153537	−	0.0662777i
$613$	−35.9732	−	20.7692i	−1.45295	−	0.838858i	−0.454298	−	0.890850i	$-0.650110\pi$
$613$	−35.9732	−	20.7692i	−1.45295	−	0.838858i	−0.998648	+	0.0519915i	$0.983443\pi$
$614$	2.65591	+	19.8518i	0.107184	+	0.801153i
$615$	−1.47622	−	0.890466i	−0.0595268	−	0.0359070i
$616$	−16.1655	+	13.6850i	−0.651329	+	0.551385i
$617$	−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	$-0.361303\pi$
$618$	1.74630	+	2.35814i	0.0702466	+	0.0948585i
$619$	−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	$0.568688\pi$
$620$	−2.33118	+	8.84840i	−0.0936226	+	0.355360i
$621$	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
$624$	−34.5436	+	19.4500i	−1.38285	+	0.778623i
$625$	−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
$630$	1.00142	−	7.94037i	0.0398975	−	0.316352i
$631$		−	1.84387i		−	0.0734032i	−0.999326	−	0.0367016i	$-0.988315\pi$
$631$		−	1.84387i		−	0.0734032i	0.999326	−	0.0367016i	$-0.0116851\pi$
$632$	−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
$636$	−14.5832	+	14.1527i	−0.578261	+	0.561190i
$637$	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
$640$	3.19601	+	7.40638i	0.126333	+	0.292763i
$641$	−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	$0.998955\pi$
$642$	−43.2754	+	4.94703i	−1.70794	+	0.195244i
$643$	−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	$0.654895\pi$
$644$	−9.06197	+	17.5044i	−0.357092	+	0.689770i
$645$	−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	$0.388738\pi$
$647$	−16.3409	+	28.3032i	−0.642425	+	1.11271i	−0.984890	+	0.173183i	$0.944595\pi$
$648$	5.09002	−	24.9418i	0.199955	−	0.979805i
$649$	3.72599	−	2.15120i	0.146258	−	0.0844421i
$650$	−13.8388	+	33.6091i	−0.542804	+	1.31826i
$651$	21.2561	+	20.3195i	0.833093	+	0.796386i
$652$	5.54074	+	5.49445i	0.216992	+	0.215179i
$653$	10.1531	+	5.86189i	0.397321	+	0.229394i	0.685328	−	0.728235i	$-0.259659\pi$
$653$	10.1531	+	5.86189i	0.397321	+	0.229394i	−0.288006	+	0.957629i	$0.592992\pi$
$654$	−33.9019	+	25.1057i	−1.32567	+	0.981711i
$655$	1.79471	−	1.03618i	0.0701253	−	0.0404869i
$656$	2.75138	−	4.85922i	0.107423	−	0.189721i
$657$	0.279533	−	7.28499i	0.0109056	−	0.284215i
$658$	1.99132	−	22.8039i	0.0776299	−	0.888988i
$659$	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	$0.0944311\pi$
$660$	1.91024	−	6.72447i	0.0743558	−	0.261750i
$661$	−32.5974			−1.26789			−0.633945	−	0.773378i	$-0.718565\pi$
$661$	−32.5974			−1.26789			−0.633945	+	0.773378i	$0.718565\pi$
$662$	19.1940	−	2.56790i	0.745995	−	0.0998043i
$663$	−2.38047	−	1.43592i	−0.0924500	−	0.0557666i
$664$	38.4518	+	4.81633i	1.49222	+	0.186910i
$665$	−0.529098	−	0.118372i	−0.0205175	−	0.00459028i
$666$	15.2188	+	6.96040i	0.589716	+	0.269710i
$667$	−14.7123	−	25.4824i	−0.569662	−	0.986683i
$668$	−14.5684	−	14.4467i	−0.563669	−	0.558960i
$669$	4.63313	+	8.39246i	0.179127	+	0.324471i
$670$	−5.81747	+	14.1284i	−0.224749	+	0.545826i
$671$	9.29928	+	16.1068i	0.358995	+	0.621797i
$672$	25.7989	+	2.53354i	0.995213	+	0.0977333i
$673$	−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	$0.943572\pi$
$674$	−24.1966	−	31.3971i	−0.932019	−	1.20937i
$675$	−10.4882	−	20.8499i	−0.403691	−	0.802515i
$676$	−10.0585	+	38.1789i	−0.386867	+	1.46842i
$677$	−37.2224			−1.43057			−0.715286	−	0.698832i	$-0.753704\pi$
$677$	−37.2224			−1.43057			−0.715286	+	0.698832i	$0.753704\pi$
$678$	−10.0739	+	1.15160i	−0.386886	+	0.0442269i
$679$	−6.71765	+	7.30262i	−0.257800	+	0.280249i
$680$	−0.341533	+	0.450941i	−0.0130972	+	0.0172928i
$681$	0.914550	−	47.6863i	0.0350456	−	1.82734i
$682$	15.6787	+	20.3443i	0.600367	+	0.779025i
$683$	−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	$0.194967\pi$
$684$	−1.64952	−	0.502958i	−0.0630710	−	0.0192311i
$685$	3.39687			0.129788
$686$	13.1797	−	22.6339i	0.503204	−	0.864167i
$687$	1.19702	+	2.16829i	0.0456692	+	0.0827253i
$688$	−0.206629	−	24.6289i	−0.00787767	−	0.938967i
$689$			33.5670i			1.27880i
$690$	−0.738875	−	6.46350i	−0.0281285	−	0.246061i
$691$		−	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
$696$	−23.9513	+	30.3950i	−0.907872	+	1.15212i
$697$	0.391593			0.0148327
$698$	8.41555	−	20.4381i	0.318533	−	0.773592i
$699$	12.1637	+	0.233282i	0.460074	+	0.00882352i
$700$	20.0164	−	12.8156i	0.756550	−	0.484384i
$701$			22.4021i			0.846115i	0.906103	+	0.423058i	$0.139043\pi$
$701$			22.4021i			0.846115i	−0.906103	+	0.423058i	$0.860957\pi$
$702$	−23.7095	−	34.7256i	−0.894858	−	1.31063i
$703$	0.566851	−	0.981815i	0.0213792	−	0.0370299i
$704$	21.9432	+	5.58467i	0.827014	+	0.210480i
$705$	3.65137	+	6.61409i	0.137518	+	0.249101i
$706$	−31.0922	+	23.9617i	−1.17017	+	0.901810i
$707$	43.0793	−	13.4913i	1.62016	−	0.507393i
$708$	−5.06538	−	1.43893i	−0.190369	−	0.0540784i
$709$		−	11.8075i		−	0.443440i	−0.975110	−	0.221720i	$-0.928833\pi$
$709$		−	11.8075i		−	0.443440i	0.975110	−	0.221720i	$-0.0711670\pi$
$710$	12.9829	+	5.34581i	0.487239	+	0.200625i
$711$	11.2366	−	5.92505i	0.421407	−	0.222207i
$712$	−11.1001	+	14.6560i	−0.415994	+	0.549256i
$713$	20.7007	+	11.9515i	0.775247	+	0.447589i
$714$	0.736812	+	1.66188i	0.0275745	+	0.0621941i
$715$	−5.77344	−	9.99989i	−0.215914	−	0.373975i
$716$	2.35906	−	8.95421i	0.0881622	−	0.334635i
$717$	−0.732622	+	38.2002i	−0.0273603	+	1.42661i
$718$	33.9869	−	26.1925i	1.26838	−	0.977495i
$719$	−1.14473	−	1.98273i	−0.0426911	−	0.0739432i	0.843890	−	0.536516i	$-0.180260\pi$
$719$	−1.14473	−	1.98273i	−0.0426911	−	0.0739432i	−0.886581	+	0.462573i	$0.846926\pi$
$720$	−7.53442	+	4.05403i	−0.280791	+	0.151085i
$721$	−2.33263	−	2.14577i	−0.0868716	−	0.0799127i
$722$	10.1862	−	24.7382i	0.379089	−	0.920660i
$723$	0.558364	−	29.1141i	0.0207658	−	1.08277i
$724$	33.8505	−	9.22258i	1.25804	−	0.342755i
$725$			35.4802i			1.31770i
$726$	4.35752	+	5.88423i	0.161723	+	0.218384i
$727$	18.7003	−	32.3899i	0.693557	−	1.20128i	−0.277108	−	0.960839i	$-0.589376\pi$
$727$	18.7003	−	32.3899i	0.693557	−	1.20128i	0.970665	−	0.240437i	$-0.0772907\pi$
$728$	32.6812	−	27.6664i	1.21124	−	1.02538i
$729$	26.8215	+	3.09968i	0.993388	+	0.114803i
$730$	−1.94084	+	1.49574i	−0.0718338	+	0.0553598i
$731$	1.49580	−	0.863601i	0.0553242	−	0.0319414i
$732$	6.22026	−	21.8968i	0.229908	−	0.809328i
$733$	−5.02905	+	8.71057i	−0.185752	+	0.321732i	−0.943830	−	0.330432i	$-0.892806\pi$
$733$	−5.02905	+	8.71057i	−0.185752	+	0.321732i	0.758078	+	0.652164i	$0.226139\pi$
$734$	−15.9737	−	20.7272i	−0.589601	−	0.765055i
$735$	0.554792	+	8.62669i	0.0204638	+	0.318200i
$736$	20.8617	−	2.96937i	0.768971	−	0.109453i
$737$	21.4443	+	37.1425i	0.789909	+	1.36816i
$738$	5.38622	+	2.46342i	0.198270	+	0.0906797i
$739$	−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
$742$	12.5870	−	17.9823i	0.462082	−	0.660152i
$743$	5.60097	−	3.23372i	0.205480	−	0.118634i	−0.393729	−	0.919226i	$-0.628815\pi$
$743$	5.60097	−	3.23372i	0.205480	−	0.118634i	0.599209	+	0.800593i	$0.295482\pi$
$744$	4.50446	−	31.1118i	0.165141	−	1.14062i
$745$	0.612689	−	0.353736i	0.0224472	−	0.0129599i
$746$	0.718319	+	0.295774i	0.0262995	+	0.0108291i
$747$	−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
$750$	−6.60427	+	15.2043i	−0.241154	+	0.555184i
$751$	20.2543	+	11.6938i	0.739091	+	0.426714i	0.821739	−	0.569864i	$-0.193004\pi$
$751$	20.2543	+	11.6938i	0.739091	+	0.426714i	−0.0826477	+	0.996579i	$0.526338\pi$
$752$	−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
$756$	−0.319880	+	27.4936i	−0.0116339	+	0.999932i
$757$			14.6588i			0.532783i	0.963865	+	0.266392i	$0.0858314\pi$
$757$			14.6588i			0.532783i	−0.963865	+	0.266392i	$0.914169\pi$
$758$	−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	$0.948244\pi$
$762$	−37.9855	−	16.4996i	−1.37607	−	0.597719i
$763$	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
$766$	4.12891	−	10.0275i	0.149184	−	0.362309i
$767$	−7.53267	+	4.34899i	−0.271989	+	0.157033i
$768$	−13.7988	−	24.0331i	−0.497923	−	0.867221i
$769$	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	$0.295355\pi$
$770$	−0.656851	+	7.52201i	−0.0236713	+	0.271075i
$771$	−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	$-0.484015\pi$
$773$	24.7454	−	42.8604i	0.890032	−	1.54158i	0.839836	−	0.542840i	$-0.182651\pi$
$774$	26.0069	−	2.46879i	0.934798	−	0.0887389i
$775$	−14.4112	−	24.9610i	−0.517666	−	0.896624i
$776$	10.5253	+	1.31836i	0.377836	+	0.0473265i
$777$	−17.5608	−	4.28396i	−0.629991	−	0.153686i
$778$	−14.2542	+	10.9852i	−0.511037	+	0.393838i
$779$	0.200620	−	0.347483i	0.00718794	−	0.0124499i
$780$	−3.86184	+	13.5946i	−0.138276	+	0.486764i
$781$	34.1311	−	19.7056i	1.22131	−	0.705123i
$782$	0.902026	+	1.17045i	0.0322564	+	0.0418553i
$783$	−34.3074	−	22.5324i	−1.22605	−	0.805244i
$784$	−27.8821	+	2.56646i	−0.995790	+	0.0916595i
$785$	2.12648	−	3.68317i	0.0758974	−	0.131458i
$786$	−5.72159	+	4.23707i	−0.204082	+	0.151131i
$787$			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
$790$	−3.94799	−	1.62562i	−0.140463	−	0.0578369i
$791$	10.4514	−	3.27311i	0.371609	−	0.116378i
$792$	−3.89637	+	23.6980i	−0.138452	+	0.842072i
$793$	−18.7999	−	32.5624i	−0.667605	−	1.15633i
$794$	11.3226	+	14.6920i	0.401824	+	0.521400i
$795$	−0.138913	+	7.24319i	−0.00492675	+	0.256890i
$796$	−9.09224	+	34.5111i	−0.322266	+	1.22321i
$797$	18.2034	+	31.5292i	0.644798	+	1.11682i	0.984348	+	0.176235i	$0.0563919\pi$
$797$	18.2034	+	31.5292i	0.644798	+	1.11682i	−0.339550	+	0.940588i	$0.610275\pi$
$798$	1.85216	+	0.197590i	0.0655657	+	0.00699461i
$799$	−1.48617	−	0.858039i	−0.0525768	−	0.0303553i
$800$	−23.5752	−	9.47675i	−0.833508	−	0.335054i
$801$	−16.5015	−	10.3905i	−0.583051	−	0.367130i
$802$	−1.36273	+	3.30954i	−0.0481197	+	0.116864i
$803$			6.87805i			0.242721i
$804$	14.3440	−	50.4942i	0.505874	−	1.78079i
$805$	2.10005	+	6.70569i	0.0740170	+	0.236345i
$806$	−31.6969	−	41.1293i	−1.11647	−	1.44872i
$807$	9.35838	+	16.9518i	0.329430	+	0.596730i
$808$	−38.4708	−	29.1369i	−1.35340	−	1.02503i
$809$	−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	$0.205536\pi$
$810$	−4.97241	−	7.59131i	−0.174713	−	0.266732i
$811$			18.5730i			0.652185i	0.945338	+	0.326092i	$0.105732\pi$
$811$			18.5730i			0.652185i	−0.945338	+	0.326092i	$0.894268\pi$
$812$	19.2165	−	37.1192i	0.674366	−	1.30263i
$813$	48.1880	+	0.924173i	1.69003	+	0.0324121i
$814$	−14.5993	−	6.01139i	−0.511706	−	0.210699i
$815$	2.78177			0.0974410
$816$	0.989800	−	1.67246i	0.0346499	−	0.0585478i
$817$		−	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	$-0.968948\pi$
$821$		−	5.58155i		−	0.194798i	0.995245	−	0.0973988i	$-0.0310522\pi$
$822$	−11.5945	+	1.32543i	−0.404406	+	0.0462297i
$823$			43.5416i			1.51776i	0.651228	+	0.758882i	$0.274254\pi$
$823$			43.5416i			1.51776i	−0.651228	+	0.758882i	$0.725746\pi$
$824$	−0.421116	+	3.36203i	−0.0146703	+	0.117122i
$825$	10.6420	+	19.2769i	0.370507	+	0.671136i
$826$	5.66615	+	0.494790i	0.197151	+	0.0172159i
$827$	33.7917			1.17505			0.587526	−	0.809205i	$-0.300102\pi$
$827$	33.7917			1.17505			0.587526	+	0.809205i	$0.300102\pi$
$828$	5.04400	+	21.7736i	0.175291	+	0.756683i
$829$	−4.12458	+	7.14398i	−0.143252	+	0.248121i	−0.928720	−	0.370783i	$-0.879089\pi$
$829$	−4.12458	+	7.14398i	−0.143252	+	0.248121i	0.785467	+	0.618903i	$0.212423\pi$
$830$	10.9425	−	8.43296i	0.379818	−	0.292712i
$831$	−0.798933	+	41.6578i	−0.0277147	+	1.44509i
$832$	−44.3615	−	11.2903i	−1.53796	−	0.391420i
$833$	−1.12001	−	1.61279i	−0.0388062	−	0.0558797i
$834$	−3.91887	−	34.2813i	−0.135699	−	1.18706i
$835$	−7.31417			−0.253117
$836$	1.57328	+	0.414494i	0.0544131	+	0.0143356i
$837$	33.2880	+	1.91712i	1.15060	+	0.0662653i
$838$	8.16488	−	6.29238i	0.282051	−	0.217367i
$839$	−8.23536	+	14.2641i	−0.284316	+	0.492450i	−0.972443	−	0.233140i	$-0.925100\pi$
$839$	−8.23536	+	14.2641i	−0.284316	+	0.492450i	0.688127	+	0.725590i	$0.258433\pi$
$840$	7.16655	−	5.83469i	0.247269	−	0.201316i
$841$	16.6983	+	28.9224i	0.575805	+	0.997323i
$842$	36.3799	+	14.9797i	1.25373	+	0.516235i
$843$	20.3522	+	36.8660i	0.700967	+	1.26973i
$844$	−13.2664	−	13.1555i	−0.456648	−	0.452832i
$845$	7.03749	+	12.1893i	0.242097	+	0.419324i
$846$	−15.0440	−	21.1511i	−0.517222	−	0.727191i
$847$	−5.82056	−	5.35431i	−0.199997	−	0.183976i
$848$	−23.4645	+	0.196861i	−0.805776	+	0.00676023i
$849$	20.4079	+	12.3102i	0.700396	+	0.422485i
$850$	−0.236279	−	1.76608i	−0.00810429	−	0.0605762i
$851$	−14.6932			−0.503678
$852$	−46.4003	−	13.1810i	−1.58965	−	0.451575i
$853$	−8.03740	+	13.9212i	−0.275195	+	0.476652i	−0.970184	−	0.242368i	$-0.922076\pi$
$853$	−8.03740	+	13.9212i	−0.275195	+	0.476652i	0.694989	+	0.719020i	$0.255409\pi$
$854$	−2.13889	+	24.4938i	−0.0731914	+	0.838160i
$855$	−0.543803	+	0.286746i	−0.0185977	+	0.00980650i
$856$	−40.0940	−	30.3663i	−1.37039	−	1.03790i
$857$	−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	$0.541022\pi$
$858$	23.6083	+	31.8799i	0.805976	+	1.08836i
$859$	−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	$0.675312\pi$
$860$	−6.23464	−	6.18255i	−0.212599	−	0.210823i
$861$	−6.21512	−	1.51618i	−0.211811	−	0.0516711i
$862$	8.56578	+	3.52703i	0.291752	+	0.120131i
$863$	47.3665	−	27.3471i	1.61237	−	0.930905i	0.623556	−	0.781779i	$-0.285687\pi$
$863$	47.3665	−	27.3471i	1.61237	−	0.930905i	0.988818	−	0.149126i	$-0.0476460\pi$
$864$	24.1354	−	16.7775i	0.821102	−	0.570781i
$865$	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
$868$	1.55779	+	33.9193i	0.0528748	+	1.15129i
$869$	−10.3790	+	5.99233i	−0.352084	+	0.203276i
$870$	1.56683	+	13.7063i	0.0531206	+	0.464686i
$871$	−43.3529	−	75.0894i	−1.46896	−	2.54431i
$872$	−48.3341	−	6.05417i	−1.63680	−	0.205020i
$873$	−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
$876$	6.04106	−	5.86271i	0.204108	−	0.198083i
$877$	−2.97466	−	1.71742i	−0.100447	−	0.0579931i	0.448935	−	0.893564i	$-0.351803\pi$
$877$	−2.97466	−	1.71742i	−0.100447	−	0.0579931i	−0.549382	+	0.835571i	$0.685137\pi$
$878$	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	$-0.204907\pi$
$882$	−5.25973	−	29.2290i	−0.177104	−	0.984192i
$883$	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	$0.411422\pi$
$887$	−20.7096	+	35.8701i	−0.695360	+	1.20440i	−0.970059	+	0.242869i	$0.921912\pi$
$888$	7.16430	+	17.9467i	0.240418	+	0.602252i
$889$	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
$892$	−2.82010	+	10.7042i	−0.0944241	+	0.358402i
$893$	−1.52278	+	0.879175i	−0.0509577	+	0.0294205i
$894$	−1.95327	+	1.44647i	−0.0653270	+	0.0483773i
$895$	−1.65052	−	2.85879i	−0.0551709	−	0.0955588i
$896$	19.5315	+	22.6831i	0.652501	+	0.757788i
$897$	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
$900$	7.86008	−	25.7782i	0.262003	−	0.859274i
$901$	−0.822773	−	1.42509i	−0.0274106	−	0.0474765i
$902$	−5.16698	−	2.12755i	−0.172042	−	0.0708396i
$903$	−27.0841	+	7.91505i	−0.901301	+	0.263397i
$904$	−9.33333	−	7.06886i	−0.310422	−	0.235107i
$905$	6.25368	−	10.8317i	0.207879	−	0.360058i
$906$	1.95078	+	17.0650i	0.0648104	+	0.566945i
$907$	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	$0.594875\pi$
$908$	38.7791	−	39.1059i	1.28693	−	1.29777i
$909$	27.2742	−	43.3151i	0.904629	−	1.43667i
$910$	1.32793	−	15.2069i	0.0440204	−	0.504105i
$911$	−9.51109	−	5.49123i	−0.315117	−	0.181933i	0.334097	−	0.942539i	$-0.391569\pi$
$911$	−9.51109	−	5.49123i	−0.315117	−	0.181933i	−0.649214	+	0.760606i	$0.724902\pi$
$912$	−0.976979	−	1.73513i	−0.0323510	−	0.0574560i
$913$		−	38.7784i		−	1.28338i
$914$	35.6515	−	4.76970i	1.17925	−	0.157768i
$915$	−3.92196	−	7.10423i	−0.129656	−	0.234859i
$916$	−0.728606	+	2.76554i	−0.0240738	+	0.0913762i
$917$	5.20631	−	5.65968i	0.171927	−	0.186899i
$918$	1.85776	+	0.893119i	0.0613152	+	0.0294773i
$919$	26.2668	−	15.1651i	0.866461	−	0.500252i	0.000290594	−	1.00000i	$-0.499908\pi$
$919$	26.2668	−	15.1651i	0.866461	−	0.500252i	0.866171	+	0.499748i	$0.166574\pi$
$920$	4.53543	−	5.98834i	0.149529	−	0.197430i
$921$	−21.0045	−	12.6701i	−0.692122	−	0.417493i
$922$	3.12325	−	7.58515i	0.102859	−	0.249804i
$923$	−69.0014	+	39.8380i	−2.27121	+	1.31128i
$924$	−0.692995	−	25.9312i	−0.0227979	−	0.853073i
$925$	15.3435	+	8.85858i	0.504492	+	0.291268i
$926$	−10.0416	+	7.73868i	−0.329986	+	0.254309i
$927$	−3.59119	−	0.137798i	−0.117950	−	0.00452587i
$928$	−44.2385	+	6.29674i	−1.45220	+	0.206701i
$929$			28.0116i			0.919030i	0.888170	+	0.459515i	$0.151977\pi$
$929$			28.0116i			0.919030i	−0.888170	+	0.459515i	$0.848023\pi$
$930$	−6.66945	−	9.00618i	−0.218700	−	0.295324i
$931$	−2.00492	+	0.167596i	−0.0657086	+	0.00549275i
$932$	9.97505	+	9.89171i	0.326744	+	0.324014i
$933$	−13.4395	+	22.2800i	−0.439989	+	0.729415i
$934$	26.1430	−	20.1475i	0.855424	−	0.659245i
$935$	0.490223	+	0.283030i	0.0160320	+	0.00925607i
$936$	7.87712	−	47.9092i	0.257472	−	1.56596i
$937$			2.42016i			0.0790633i	0.999218	+	0.0395317i	$0.0125866\pi$
$937$			2.42016i			0.0790633i	−0.999218	+	0.0395317i	$0.987413\pi$
$938$	−4.93231	+	56.4830i	−0.161046	+	1.84424i
$939$	−46.3698	−	27.9706i	−1.51322	−	0.912786i
$940$	−2.22252	+	8.43595i	−0.0724907	+	0.275150i
$941$	−42.0620			−1.37118			−0.685591	−	0.727987i	$-0.740456\pi$
$941$	−42.0620			−1.37118			−0.685591	+	0.727987i	$0.740456\pi$
$942$	−5.82117	+	13.4015i	−0.189664	+	0.436645i
$943$	−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	$0.591473\pi$
$948$	14.1100	+	4.00825i	0.458271	+	0.130182i
$949$		−	13.9050i		−	0.451377i
$950$	−1.68820	−	0.695129i	−0.0547723	−	0.0225530i
$951$	29.5319	+	17.8139i	0.957636	+	0.577654i
$952$	−0.709337	+	1.97564i	−0.0229897	+	0.0640307i
$953$	3.74284			0.121243			0.0606213	−	0.998161i	$-0.480692\pi$
$953$	3.74284			0.121243			0.0606213	+	0.998161i	$0.480692\pi$
$954$	−2.35208	−	24.7774i	−0.0761514	−	0.802198i
$955$	−8.71873	−	5.03376i	−0.282132	−	0.162889i
$956$	−31.0650	+	31.3267i	−1.00471	+	1.01318i
$957$	33.1585	+	20.0014i	1.07186	+	0.646555i
$958$	−8.68912	−	11.2748i	−0.280733	−	0.364273i
$959$	12.0290	−	3.76717i	0.388437	−	0.121648i
$960$	−9.52575	−	2.61984i	−0.307442	−	0.0845549i
$961$	10.1765			0.328274
$962$	29.5148	+	12.1530i	0.951595	+	0.391827i
$963$	28.4251	−	45.1427i	0.915985	−	1.45470i
$964$	23.6760	−	23.8755i	0.762553	−	0.768977i
$965$	4.11610	−	7.12929i	0.132502	−	0.229500i
$966$	−9.78460	−	22.0691i	−0.314814	−	0.710062i
$967$	−3.15781	+	1.82316i	−0.101548	+	0.0586290i	−0.549914	−	0.835221i	$-0.685340\pi$
$967$	−3.15781	+	1.82316i	−0.101548	+	0.0586290i	0.448366	+	0.893850i	$0.352006\pi$
$968$	−1.05080	+	8.38920i	−0.0337741	+	0.269639i
$969$	0.0721268	−	0.119572i	0.00231705	−	0.00384121i
$970$	2.99525	−	2.30833i	0.0961717	−	0.0741161i
$971$	−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	$0.337173\pi$
$972$	19.9344	+	23.9712i	0.639396	+	0.768878i
$973$	11.1383	+	35.5658i	0.357077	+	1.14019i
$974$	41.9526	+	17.2744i	1.34425	+	0.553506i
$975$	−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	$0.267981\pi$
$978$	−9.49500	+	1.08542i	−0.303617	+	0.0347079i
$979$	15.9327	+	9.19872i	0.509210	+	0.293992i
$980$	−6.41369	+	7.64862i	−0.204878	+	0.244326i
$981$	1.98105	−	51.6287i	0.0632500	−	1.64838i
$982$	18.8390	+	24.4451i	0.601176	+	0.780074i
$983$	14.6018	+	25.2911i	0.465726	+	0.806661i	0.999234	−	0.0391340i	$-0.0124599\pi$
$983$	14.6018	+	25.2911i	0.465726	+	0.806661i	−0.533508	+	0.845795i	$0.679127\pi$
$984$	2.53558	+	6.35169i	0.0808314	+	0.202484i
$985$	−6.64332	−	3.83552i	−0.211674	−	0.122210i
$986$	−1.91280	−	2.48202i	−0.0609161	−	0.0790435i
$987$	20.2653	+	19.3724i	0.645052	+	0.616630i
$988$	−3.18063	−	0.837964i	−0.101189	−	0.0266592i
$989$	−19.8637	+	11.4683i	−0.631629	+	0.364671i
$990$	4.96236	+	6.97684i	0.157714	+	0.221739i
$991$	−4.96358	−	2.86573i	−0.157673	−	0.0910328i	0.419087	−	0.907946i	$-0.362350\pi$
$991$	−4.96358	−	2.86573i	−0.157673	−	0.0910328i	−0.576761	+	0.816913i	$0.695683\pi$
$992$	28.5650	−	22.3985i	0.906938	−	0.711152i
$993$	−12.2503	+	20.3085i	−0.388750	+	0.644471i
$994$	51.9035	+	4.53242i	1.64628	+	0.143760i
$995$	6.36141	+	11.0183i	0.201670	+	0.349303i
$996$	−34.0594	+	33.0539i	−1.07921	+	1.04735i
$997$	17.8267	+	30.8768i	0.564578	+	0.977878i	0.997089	+	0.0762490i	$0.0242944\pi$
$997$	17.8267	+	30.8768i	0.564578	+	0.977878i	−0.432511	+	0.901629i	$0.642372\pi$
$998$	−3.69483	+	8.97329i	−0.116958	+	0.284045i
$999$	−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.115.6	yes	180
7.5	odd	6		504.2.cz.b.187.63	yes	180
8.3	odd	2	inner	504.2.bf.b.115.5	✓	180
9.4	even	3		504.2.cz.b.283.55	yes	180
56.19	even	6		504.2.cz.b.187.55	yes	180
63.40	odd	6	inner	504.2.bf.b.355.6	yes	180
72.67	odd	6		504.2.cz.b.283.63	yes	180
504.355	even	6	inner	504.2.bf.b.355.5	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bf.b.115.5	✓	180	8.3	odd	2	inner
504.2.bf.b.115.6	yes	180	1.1	even	1	trivial
504.2.bf.b.355.5	yes	180	504.355	even	6	inner
504.2.bf.b.355.6	yes	180	63.40	odd	6	inner
504.2.cz.b.187.55	yes	180	56.19	even	6
504.2.cz.b.187.63	yes	180	7.5	odd	6
504.2.cz.b.283.55	yes	180	9.4	even	3
504.2.cz.b.283.63	yes	180	72.67	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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40172 + 0.187532i) q^{2} +(0.894629 - 1.48312i) q^{3} +(1.92966 - 0.525737i) q^{4} +(0.356494 - 0.617465i) q^{5} +(-0.975890 + 2.24669i) q^{6} +(0.577640 - 2.58192i) q^{7} +(-2.60626 + 1.09881i) q^{8} +(-1.39928 - 2.65368i) q^{9} +O(q^{10})\)	\(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} +(-0.975890 + 2.24669i) q^{6} +(0.577640 - 2.58192i) q^{7} +(-2.60626 + 1.09881i) q^{8} +(-1.39928 - 2.65368i) q^{9} +(-0.383911 + 0.932370i) q^{10} +(1.41517 + 2.45114i) q^{11} +(0.946602 - 3.33226i) q^{12} +(-2.86098 - 4.95536i) q^{13} +(-0.325497 + 3.72747i) q^{14} +(-0.596845 - 1.08112i) q^{15} +(3.44720 - 2.02899i) q^{16} +(0.242926 + 0.140253i) q^{17} +(2.45905 + 3.45732i) q^{18} +(0.248909 - 0.143708i) q^{19} +(0.363288 - 1.37892i) q^{20} +(-3.31253 - 3.16657i) q^{21} +(-2.44334 - 3.17044i) q^{22} +(-3.22597 - 1.86251i) q^{23} +(-0.701969 + 4.84843i) q^{24} +(2.24582 + 3.88988i) q^{25} +(4.93960 + 6.40953i) q^{26} +(-5.18756 - 0.298761i) q^{27} +(-0.242764 - 5.28593i) q^{28} +(6.84087 + 3.94958i) q^{29} +(1.03936 + 1.40351i) q^{30} -6.41689 q^{31} +(-4.45152 + 3.49055i) q^{32} +(4.90138 + 0.0940010i) q^{33} +(-0.366817 - 0.151040i) q^{34} +(-1.38832 - 1.27711i) q^{35} +(-4.09528 - 4.38506i) q^{36} +(3.41601 - 1.97223i) q^{37} +(-0.321953 + 0.248118i) q^{38} +(-9.90890 - 0.190038i) q^{39} +(-0.250638 + 2.00100i) q^{40} +(1.20899 - 0.698011i) q^{41} +(5.23708 + 3.81745i) q^{42} +(3.07872 - 5.33250i) q^{43} +(4.01945 + 3.98587i) q^{44} +(-2.13739 - 0.0820139i) q^{45} +(4.87120 + 2.00576i) q^{46} -6.11779 q^{47} +(0.0747303 - 6.92780i) q^{48} +(-6.33267 - 2.98284i) q^{49} +(-3.87751 - 5.03138i) q^{50} +(0.425340 - 0.234813i) q^{51} +(-8.12595 - 8.05806i) q^{52} +(-5.08040 - 2.93317i) q^{53} +(7.32755 - 0.554053i) q^{54} +2.01799 q^{55} +(1.33157 + 7.36389i) q^{56} +(0.00954565 - 0.497727i) q^{57} +(-10.3297 - 4.25334i) q^{58} -1.52010i q^{59} +(-1.72010 - 1.77242i) 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} +(-6.88802 + 0.787404i) q^{66} +15.1532 q^{67} +(0.542501 + 0.142926i) q^{68} +(-5.64837 + 3.11823i) q^{69} +(2.18555 + 1.52980i) q^{70} -13.9246i q^{71} +(6.56279 + 5.37864i) q^{72} +(2.10454 + 1.21506i) q^{73} +(-4.41845 + 3.40514i) q^{74} +(7.77833 + 0.149176i) q^{75} +(0.404759 - 0.408169i) q^{76} +(7.14612 - 2.23798i) q^{77} +(13.9252 - 1.59186i) q^{78} +4.23436i q^{79} +(-0.0239262 - 2.85185i) q^{80} +(-5.08403 + 7.42648i) q^{81} +(-1.56377 + 1.20514i) q^{82} +(-11.8654 - 6.85049i) q^{83} +(-8.05684 - 4.36890i) q^{84} +(0.173203 - 0.0999988i) q^{85} +(-3.31550 + 8.05205i) q^{86} +(11.9777 - 6.61241i) q^{87} +(-6.38164 - 4.83332i) q^{88} +(5.62925 - 3.25005i) q^{89} +(3.01141 - 0.285869i) q^{90} +(-14.4470 + 4.52442i) q^{91} +(-7.20422 - 1.89801i) q^{92} +(-5.74074 + 9.51701i) q^{93} +(8.57545 - 1.14728i) q^{94} -0.204924i q^{95} +(1.19443 + 9.72488i) q^{96} +(-3.24788 - 1.87517i) q^{97} +(9.43603 + 2.99354i) 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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