LMFDB - Embedded newform 360.2.bf.b.61.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(61,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 0]))

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

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

chi := DirichletCharacter("360.61");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.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:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$92$
Relative dimension:	$46$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			61.3
Character	$\chi$	$=$	360.61
Dual form			360.2.bf.b.301.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.34949 - 0.422946i) q^{2} +(0.162796 - 1.72438i) q^{3} +(1.64223 + 1.14152i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.949013 + 2.25818i) q^{6} +(0.543298 - 0.941020i) q^{7} +(-1.73337 - 2.23505i) q^{8} +(-2.94699 - 0.561447i) q^{9} +O(q^{10})$	\(q+(-1.34949 - 0.422946i) q^{2} +(0.162796 - 1.72438i) q^{3} +(1.64223 + 1.14152i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.949013 + 2.25818i) q^{6} +(0.543298 - 0.941020i) q^{7} +(-1.73337 - 2.23505i) q^{8} +(-2.94699 - 0.561447i) q^{9} +(-1.38016 + 0.308462i) q^{10} +(-2.98000 - 1.72050i) q^{11} +(2.23577 - 2.64600i) q^{12} +(3.05084 - 1.76140i) q^{13} +(-1.13118 + 1.04011i) q^{14} +(-0.721206 - 1.57476i) q^{15} +(1.39386 + 3.74929i) q^{16} +4.04411 q^{17} +(3.73947 + 2.00409i) q^{18} +0.175106i q^{19} +(1.99298 + 0.167470i) q^{20} +(-1.53423 - 1.09005i) q^{21} +(3.29379 + 3.58217i) q^{22} +(-2.38385 - 4.12895i) q^{23} +(-4.13626 + 2.62514i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-4.86205 + 1.08665i) q^{26} +(-1.44791 + 4.99035i) q^{27} +(1.96642 - 0.925188i) q^{28} +(-7.86987 - 4.54367i) q^{29} +(0.307220 + 2.43015i) q^{30} +(-1.52422 - 2.64003i) q^{31} +(-0.295247 - 5.64914i) q^{32} +(-3.45194 + 4.85856i) q^{33} +(-5.45748 - 1.71044i) q^{34} -1.08660i q^{35} +(-4.19875 - 4.28608i) q^{36} +2.55086i q^{37} +(0.0740603 - 0.236303i) q^{38} +(-2.54067 - 5.54757i) q^{39} +(-2.61867 - 1.06892i) q^{40} +(4.79876 + 8.31169i) q^{41} +(1.60940 + 2.11991i) q^{42} +(-5.31274 - 3.06731i) q^{43} +(-2.92986 - 6.22719i) q^{44} +(-2.83290 + 0.987270i) q^{45} +(1.47065 + 6.58021i) q^{46} +(1.93793 - 3.35659i) q^{47} +(6.69212 - 1.79317i) q^{48} +(2.90965 + 5.03967i) q^{49} +(-1.04103 + 0.957217i) q^{50} +(0.658367 - 6.97360i) q^{51} +(7.02087 + 0.589964i) q^{52} -6.43488i q^{53} +(4.06458 - 6.12202i) q^{54} -3.44100 q^{55} +(-3.04496 + 0.416841i) q^{56} +(0.301949 + 0.0285066i) q^{57} +(8.69856 + 9.46016i) q^{58} +(-7.63829 + 4.40997i) q^{59} +(0.613232 - 3.40939i) q^{60} +(5.26601 + 3.04033i) q^{61} +(0.940327 + 4.20735i) q^{62} +(-2.12943 + 2.46815i) q^{63} +(-1.99085 + 7.74832i) q^{64} +(1.76140 - 3.05084i) q^{65} +(6.71326 - 5.09659i) q^{66} +(9.24366 - 5.33683i) q^{67} +(6.64137 + 4.61644i) q^{68} +(-7.50798 + 3.43850i) q^{69} +(-0.459572 + 1.46635i) q^{70} +13.7333 q^{71} +(3.85337 + 7.55986i) q^{72} -5.34920 q^{73} +(1.07888 - 3.44235i) q^{74} +(-1.41196 - 1.00318i) q^{75} +(-0.199887 + 0.287564i) q^{76} +(-3.23805 + 1.86949i) q^{77} +(1.08228 + 8.56094i) q^{78} +(5.38579 - 9.32846i) q^{79} +(3.08176 + 2.55005i) q^{80} +(8.36955 + 3.30916i) q^{81} +(-2.96047 - 13.2461i) q^{82} +(11.3705 + 6.56474i) q^{83} +(-1.27525 - 3.54147i) q^{84} +(3.50230 - 2.02206i) q^{85} +(5.87217 + 6.38630i) q^{86} +(-9.11622 + 12.8310i) q^{87} +(1.32004 + 9.64269i) q^{88} -0.514145 q^{89} +(4.24052 - 0.134146i) q^{90} -3.82787i q^{91} +(0.798448 - 9.50192i) q^{92} +(-4.80056 + 2.19855i) q^{93} +(-4.03487 + 3.71004i) q^{94} +(0.0875528 + 0.151646i) q^{95} +(-9.78935 - 0.410542i) q^{96} +(2.81422 - 4.87437i) q^{97} +(-1.79503 - 8.03160i) q^{98} +(7.81606 + 6.74342i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9}+O(q^{10}) $ 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9	$ 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9} + 4 q^{10} + 22 q^{12} - 18 q^{14} - 8 q^{16} + 12 q^{17} - 16 q^{18} - 4 q^{20} - 10 q^{22} + 28 q^{23} + 24 q^{24} + 46 q^{25} - 64 q^{26} - 10 q^{30} + 8 q^{31} - 28 q^{32} - 14 q^{33} - 38 q^{36} - 6 q^{38} - 24 q^{39} + 2 q^{40} - 18 q^{41} + 22 q^{42} - 36 q^{44} + 4 q^{46} - 36 q^{47} - 76 q^{48} - 30 q^{49} - 2 q^{50} + 6 q^{52} + 42 q^{54} + 20 q^{55} - 38 q^{56} - 34 q^{57} + 18 q^{58} - 14 q^{60} + 60 q^{62} - 32 q^{63} - 48 q^{64} + 12 q^{65} + 36 q^{66} + 16 q^{68} + 8 q^{70} - 8 q^{71} + 92 q^{72} - 4 q^{73} + 52 q^{74} + 22 q^{76} + 58 q^{78} + 20 q^{79} - 16 q^{80} + 18 q^{81} - 16 q^{82} + 38 q^{84} - 60 q^{86} - 48 q^{87} - 20 q^{88} - 24 q^{89} - 24 q^{90} + 36 q^{92} - 14 q^{94} - 18 q^{95} - 38 q^{96} - 14 q^{97} - 60 q^{98}+O(q^{100}) $ 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9 + 4 * q^10 + 22 * q^12 - 18 * q^14 - 8 * q^16 + 12 * q^17 - 16 * q^18 - 4 * q^20 - 10 * q^22 + 28 * q^23 + 24 * q^24 + 46 * q^25 - 64 * q^26 - 10 * q^30 + 8 * q^31 - 28 * q^32 - 14 * q^33 - 38 * q^36 - 6 * q^38 - 24 * q^39 + 2 * q^40 - 18 * q^41 + 22 * q^42 - 36 * q^44 + 4 * q^46 - 36 * q^47 - 76 * q^48 - 30 * q^49 - 2 * q^50 + 6 * q^52 + 42 * q^54 + 20 * q^55 - 38 * q^56 - 34 * q^57 + 18 * q^58 - 14 * q^60 + 60 * q^62 - 32 * q^63 - 48 * q^64 + 12 * q^65 + 36 * q^66 + 16 * q^68 + 8 * q^70 - 8 * q^71 + 92 * q^72 - 4 * q^73 + 52 * q^74 + 22 * q^76 + 58 * q^78 + 20 * q^79 - 16 * q^80 + 18 * q^81 - 16 * q^82 + 38 * q^84 - 60 * q^86 - 48 * q^87 - 20 * q^88 - 24 * q^89 - 24 * q^90 + 36 * q^92 - 14 * q^94 - 18 * q^95 - 38 * q^96 - 14 * q^97 - 60 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$1$	$1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.34949	−	0.422946i	−0.954232	−	0.299068i
$2$	−1.34949	−	0.422946i	−0.954232	−	0.299068i
$3$	0.162796	−	1.72438i	0.0939906	−	0.995573i
$3$	0.162796	−	1.72438i	0.0939906	−	0.995573i
$4$	1.64223	+	1.14152i	0.821116	+	0.570761i
$5$	0.866025	−	0.500000i	0.387298	−	0.223607i
$5$	0.866025	−	0.500000i	0.387298	−	0.223607i
$6$	−0.949013	+	2.25818i	−0.387433	+	0.921898i
$7$	0.543298	−	0.941020i	0.205347	−	0.355672i	−0.744896	−	0.667181i	$-0.767501\pi$
$7$	0.543298	−	0.941020i	0.205347	−	0.355672i	0.950243	+	0.311508i	$0.100834\pi$
$8$	−1.73337	−	2.23505i	−0.612839	−	0.790208i
$9$	−2.94699	−	0.561447i	−0.982332	−	0.187149i
$10$	−1.38016	+	0.308462i	−0.436446	+	0.0975441i
$11$	−2.98000	−	1.72050i	−0.898503	−	0.518751i	−0.0217887	−	0.999763i	$-0.506936\pi$
$11$	−2.98000	−	1.72050i	−0.898503	−	0.518751i	−0.876714	+	0.481012i	$0.840269\pi$
$12$	2.23577	−	2.64600i	0.645411	−	0.763835i
$13$	3.05084	−	1.76140i	0.846151	−	0.488525i	−0.0131995	−	0.999913i	$-0.504202\pi$
$13$	3.05084	−	1.76140i	0.846151	−	0.488525i	0.859350	+	0.511388i	$0.170868\pi$
$14$	−1.13118	+	1.04011i	−0.302319	+	0.277981i
$15$	−0.721206	−	1.57476i	−0.186215	−	0.406601i
$16$	1.39386	+	3.74929i	0.348465	+	0.937322i
$17$	4.04411			0.980841			0.490421	−	0.871486i	$-0.336843\pi$
$17$	4.04411			0.980841			0.490421	+	0.871486i	$0.336843\pi$
$18$	3.73947	+	2.00409i	0.881402	+	0.472368i
$19$			0.175106i			0.0401720i	0.999798	+	0.0200860i	$0.00639400\pi$
$19$			0.175106i			0.0401720i	−0.999798	+	0.0200860i	$0.993606\pi$
$20$	1.99298	+	0.167470i	0.445643	+	0.0374474i
$21$	−1.53423	−	1.09005i	−0.334797	−	0.237868i
$22$	3.29379	+	3.58217i	0.702238	+	0.763722i
$23$	−2.38385	−	4.12895i	−0.497068	−	0.860947i	0.502927	−	0.864329i	$-0.332257\pi$
$23$	−2.38385	−	4.12895i	−0.497068	−	0.860947i	−0.999994	+	0.00338259i	$0.998923\pi$
$24$	−4.13626	+	2.62514i	−0.844311	+	0.535854i
$25$	0.500000	−	0.866025i	0.100000	−	0.173205i
$26$	−4.86205	+	1.08665i	−0.953526	+	0.213110i
$27$	−1.44791	+	4.99035i	−0.278650	+	0.960393i
$28$	1.96642	−	0.925188i	0.371618	−	0.174844i
$29$	−7.86987	−	4.54367i	−1.46140	−	0.843738i	−0.462322	−	0.886712i	$-0.652983\pi$
$29$	−7.86987	−	4.54367i	−1.46140	−	0.843738i	−0.999076	+	0.0429738i	$0.986317\pi$
$30$	0.307220	+	2.43015i	0.0560905	+	0.443682i
$31$	−1.52422	−	2.64003i	−0.273758	−	0.474163i	0.696063	−	0.717981i	$-0.254933\pi$
$31$	−1.52422	−	2.64003i	−0.273758	−	0.474163i	−0.969821	+	0.243818i	$0.921600\pi$
$32$	−0.295247	−	5.64914i	−0.0521927	−	0.998637i
$33$	−3.45194	+	4.85856i	−0.600905	+	0.845768i
$34$	−5.45748	−	1.71044i	−0.935950	−	0.293338i
$35$		−	1.08660i		−	0.183668i
$36$	−4.19875	−	4.28608i	−0.699791	−	0.714347i
$37$			2.55086i			0.419358i	0.977770	+	0.209679i	$0.0672419\pi$
$37$			2.55086i			0.419358i	−0.977770	+	0.209679i	$0.932758\pi$
$38$	0.0740603	−	0.236303i	0.0120142	−	0.0383334i
$39$	−2.54067	−	5.54757i	−0.406833	−	0.888322i
$40$	−2.61867	−	1.06892i	−0.414047	−	0.169011i
$41$	4.79876	+	8.31169i	0.749440	+	1.29807i	0.948091	+	0.317998i	$0.103011\pi$
$41$	4.79876	+	8.31169i	0.749440	+	1.29807i	−0.198651	+	0.980070i	$0.563656\pi$
$42$	1.60940	+	2.11991i	0.248335	+	0.327109i
$43$	−5.31274	−	3.06731i	−0.810185	−	0.467761i	0.0368351	−	0.999321i	$-0.488272\pi$
$43$	−5.31274	−	3.06731i	−0.810185	−	0.467761i	−0.847020	+	0.531561i	$0.821606\pi$
$44$	−2.92986	−	6.22719i	−0.441693	−	0.938785i
$45$	−2.83290	+	0.987270i	−0.422303	+	0.147174i
$46$	1.47065	+	6.58021i	0.216836	+	0.970200i
$47$	1.93793	−	3.35659i	0.282676	−	0.489610i	−0.689367	−	0.724412i	$-0.742111\pi$
$47$	1.93793	−	3.35659i	0.282676	−	0.489610i	0.972043	+	0.234803i	$0.0754445\pi$
$48$	6.69212	−	1.79317i	0.965925	−	0.258822i
$49$	2.90965	+	5.03967i	0.415665	+	0.719953i
$50$	−1.04103	+	0.957217i	−0.147223	+	0.135371i
$51$	0.658367	−	6.97360i	0.0921899	−	0.976499i
$52$	7.02087	+	0.589964i	0.973619	+	0.0818134i
$53$		−	6.43488i		−	0.883899i	−0.897040	−	0.441949i	$-0.854287\pi$
$53$		−	6.43488i		−	0.883899i	0.897040	−	0.441949i	$-0.145713\pi$
$54$	4.06458	−	6.12202i	0.553120	−	0.833102i
$55$	−3.44100			−0.463985
$56$	−3.04496	+	0.416841i	−0.406900	+	0.0557027i
$57$	0.301949	+	0.0285066i	0.0399941	+	0.00377579i
$58$	8.69856	+	9.46016i	1.14218	+	1.24218i
$59$	−7.63829	+	4.40997i	−0.994420	+	0.574129i	−0.906593	−	0.422007i	$-0.861326\pi$
$59$	−7.63829	+	4.40997i	−0.994420	+	0.574129i	−0.0878276	+	0.996136i	$0.527992\pi$
$60$	0.613232	−	3.40939i	0.0791679	−	0.440150i
$61$	5.26601	+	3.04033i	0.674244	+	0.389275i	0.797683	−	0.603077i	$-0.206059\pi$
$61$	5.26601	+	3.04033i	0.674244	+	0.389275i	−0.123439	+	0.992352i	$0.539392\pi$
$62$	0.940327	+	4.20735i	0.119422	+	0.534334i
$63$	−2.12943	+	2.46815i	−0.268283	+	0.310958i
$64$	−1.99085	+	7.74832i	−0.248857	+	0.968540i
$65$	1.76140	−	3.05084i	0.218475	−	0.378410i
$66$	6.71326	−	5.09659i	0.826345	−	0.627347i
$67$	9.24366	−	5.33683i	1.12929	−	0.651997i	0.185536	−	0.982638i	$-0.440598\pi$
$67$	9.24366	−	5.33683i	1.12929	−	0.651997i	0.943757	+	0.330640i	$0.107265\pi$
$68$	6.64137	+	4.61644i	0.805385	+	0.559826i
$69$	−7.50798	+	3.43850i	−0.903855	+	0.413946i
$70$	−0.459572	+	1.46635i	−0.0549294	+	0.175262i
$71$	13.7333			1.62984			0.814922	−	0.579571i	$-0.196780\pi$
$71$	13.7333			1.62984			0.814922	+	0.579571i	$0.196780\pi$
$72$	3.85337	+	7.55986i	0.454125	+	0.890938i
$73$	−5.34920			−0.626077			−0.313038	−	0.949740i	$-0.601347\pi$
$73$	−5.34920			−0.626077			−0.313038	+	0.949740i	$0.601347\pi$
$74$	1.07888	−	3.44235i	0.125417	−	0.400165i
$75$	−1.41196	−	1.00318i	−0.163039	−	0.115837i
$76$	−0.199887	+	0.287564i	−0.0229286	+	0.0329859i
$77$	−3.23805	+	1.86949i	−0.369011	+	0.213048i
$78$	1.08228	+	8.56094i	0.122544	+	0.969335i
$79$	5.38579	−	9.32846i	0.605949	−	1.04953i	−0.385952	−	0.922519i	$-0.626127\pi$
$79$	5.38579	−	9.32846i	0.605949	−	1.04953i	0.991901	−	0.127015i	$-0.0405397\pi$
$80$	3.08176	+	2.55005i	0.344551	+	0.285104i
$81$	8.36955	+	3.30916i	0.929951	+	0.367685i
$82$	−2.96047	−	13.2461i	−0.326929	−	1.46279i
$83$	11.3705	+	6.56474i	1.24807	+	0.720573i	0.970724	−	0.240197i	$-0.0772120\pi$
$83$	11.3705	+	6.56474i	1.24807	+	0.720573i	0.277345	+	0.960770i	$0.410545\pi$
$84$	−1.27525	−	3.54147i	−0.139141	−	0.386407i
$85$	3.50230	−	2.02206i	0.379878	−	0.219323i
$86$	5.87217	+	6.38630i	0.633212	+	0.688652i
$87$	−9.11622	+	12.8310i	−0.977361	+	1.37562i
$88$	1.32004	+	9.64269i	0.140717	+	1.02791i
$89$	−0.514145			−0.0544992			−0.0272496	−	0.999629i	$-0.508675\pi$
$89$	−0.514145			−0.0544992			−0.0272496	+	0.999629i	$0.508675\pi$
$90$	4.24052	−	0.134146i	0.446990	−	0.0141402i
$91$		−	3.82787i		−	0.401270i
$92$	0.798448	−	9.50192i	0.0832439	−	0.990644i
$93$	−4.80056	+	2.19855i	−0.497795	+	0.227979i
$94$	−4.03487	+	3.71004i	−0.416165	+	0.382662i
$95$	0.0875528	+	0.151646i	0.00898273	+	0.0155585i
$96$	−9.78935	−	0.410542i	−0.999122	−	0.0419008i
$97$	2.81422	−	4.87437i	0.285741	−	0.494918i	−0.687048	−	0.726612i	$-0.741094\pi$
$97$	2.81422	−	4.87437i	0.285741	−	0.494918i	0.972789	+	0.231695i	$0.0744270\pi$
$98$	−1.79503	−	8.03160i	−0.181326	−	0.811314i
$99$	7.81606	+	6.74342i	0.785544	+	0.677739i
$100$	1.80970	−	0.851455i	0.180970	−	0.0851455i
$101$	13.1754	+	7.60685i	1.31101	+	0.756910i	0.982263	−	0.187510i	$-0.0600416\pi$
$101$	13.1754	+	7.60685i	1.31101	+	0.756910i	0.328743	+	0.944419i	$0.393375\pi$
$102$	−3.83792	+	9.13233i	−0.380010	+	0.904236i
$103$	−2.34773	−	4.06638i	−0.231328	−	0.400673i	0.726871	−	0.686774i	$-0.240974\pi$
$103$	−2.34773	−	4.06638i	−0.231328	−	0.400673i	−0.958199	+	0.286102i	$0.907641\pi$
$104$	−9.22505	−	3.76560i	−0.904591	−	0.369247i
$105$	−1.87371	−	0.176894i	−0.182855	−	0.0172631i
$106$	−2.72161	+	8.68379i	−0.264346	+	0.843444i
$107$			17.5597i			1.69756i	0.528749	+	0.848778i	$0.322661\pi$
$107$			17.5597i			1.69756i	−0.528749	+	0.848778i	$0.677339\pi$
$108$	−8.07439	+	6.54249i	−0.776959	+	0.629551i
$109$			7.63887i			0.731671i	0.930679	+	0.365836i	$0.119217\pi$
$109$			7.63887i			0.731671i	−0.930679	+	0.365836i	$0.880783\pi$
$110$	4.64359	+	1.45536i	0.442749	+	0.138763i
$111$	4.39865	+	0.415270i	0.417502	+	0.0394157i
$112$	4.28544	+	0.725333i	0.404936	+	0.0685375i
$113$	8.04922	+	13.9417i	0.757207	+	1.31152i	0.944270	+	0.329173i	$0.106770\pi$
$113$	8.04922	+	13.9417i	0.757207	+	1.31152i	−0.187063	+	0.982348i	$0.559897\pi$
$114$	−0.395420	−	0.166178i	−0.0370345	−	0.0155640i
$115$	−4.12895	−	2.38385i	−0.385027	−	0.222295i
$116$	−7.73746	−	16.4454i	−0.718405	−	1.52692i
$117$	−9.97974	+	3.47796i	−0.922628	+	0.321538i
$118$	12.1730	−	2.72061i	1.12061	−	0.250452i
$119$	2.19716	−	3.80559i	0.201413	−	0.348858i
$120$	−2.26954	+	4.34157i	−0.207180	+	0.396329i
$121$	0.420253	+	0.727900i	0.0382048	+	0.0661727i
$122$	−5.82052	−	6.33013i	−0.526965	−	0.573103i
$123$	15.1138	−	6.92179i	1.36276	−	0.624116i
$124$	0.510523	−	6.07547i	0.0458463	−	0.545594i
$125$		−	1.00000i		−	0.0894427i
$126$	3.91753	−	2.43010i	0.349002	−	0.216491i
$127$	−8.78862			−0.779864			−0.389932	−	0.920844i	$-0.627502\pi$
$127$	−8.78862			−0.779864			−0.389932	+	0.920844i	$0.627502\pi$
$128$	5.96375	−	9.61424i	0.527126	−	0.849787i
$129$	−6.15411	+	8.66185i	−0.541840	+	0.762633i
$130$	−3.66733	+	3.37209i	−0.321646	+	0.295752i
$131$	−1.99985	+	1.15461i	−0.174728	+	0.100879i	−0.584813	−	0.811168i	$-0.698832\pi$
$131$	−1.99985	+	1.15461i	−0.174728	+	0.100879i	0.410085	+	0.912047i	$0.365499\pi$
$132$	−11.2150	+	4.03843i	−0.976144	+	0.351501i
$133$	0.164778	+	0.0951346i	0.0142881	+	0.00824921i
$134$	−14.7314	+	3.29241i	−1.27260	+	0.284421i
$135$	1.24125	+	5.04572i	0.106829	+	0.434267i
$136$	−7.00995	−	9.03877i	−0.601098	−	0.775068i
$137$	9.35676	−	16.2064i	0.799402	−	1.38460i	−0.120604	−	0.992701i	$-0.538483\pi$
$137$	9.35676	−	16.2064i	0.799402	−	1.38460i	0.920006	−	0.391904i	$-0.128183\pi$
$138$	11.5862	−	1.46474i	0.986285	−	0.124687i
$139$	7.86891	−	4.54312i	0.667432	−	0.385342i	−0.127671	−	0.991817i	$-0.540750\pi$
$139$	7.86891	−	4.54312i	0.667432	−	0.385342i	0.795103	+	0.606474i	$0.207417\pi$
$140$	1.24037	−	1.78444i	0.104831	−	0.150813i
$141$	−5.47257	−	3.88818i	−0.460873	−	0.327443i
$142$	−18.5329	−	5.80845i	−1.55525	−	0.487434i
$143$	−12.1220			−1.01369
$144$	−2.00267	−	11.8317i	−0.166889	−	0.985976i
$145$	−9.08734			−0.754663
$146$	7.21868	+	2.26242i	0.597422	+	0.187240i
$147$	9.16400	−	4.19692i	0.755834	−	0.346156i
$148$	−2.91186	+	4.18910i	−0.239353	+	0.344342i
$149$	0.215816	−	0.124602i	0.0176804	−	0.0102078i	−0.491134	−	0.871084i	$-0.663417\pi$
$149$	0.215816	−	0.124602i	0.0176804	−	0.0102078i	0.508814	+	0.860876i	$0.330084\pi$
$150$	1.48113	+	1.95096i	0.120934	+	0.159295i
$151$	6.79292	−	11.7657i	0.552800	−	0.957478i	−0.445271	−	0.895396i	$-0.646893\pi$
$151$	6.79292	−	11.7657i	0.552800	−	0.957478i	0.998071	−	0.0620822i	$-0.0197741\pi$
$152$	0.391369	−	0.303523i	0.0317442	−	0.0246190i
$153$	−11.9180	−	2.27055i	−0.963511	−	0.183563i
$154$	5.16041	−	1.15333i	0.415838	−	0.0929382i
$155$	−2.64003	−	1.52422i	−0.212052	−	0.122428i
$156$	2.16030	−	12.0106i	0.172962	−	0.961620i
$157$	10.2766	−	5.93320i	0.820163	−	0.473521i	−0.0303098	−	0.999541i	$-0.509649\pi$
$157$	10.2766	−	5.93320i	0.820163	−	0.473521i	0.850473	+	0.526019i	$0.176316\pi$
$158$	−11.2135	+	10.3107i	−0.892098	+	0.820279i
$159$	−11.0962	−	1.04758i	−0.879986	−	0.0830781i
$160$	−3.08026	−	4.74468i	−0.243516	−	0.375100i
$161$	−5.18057			−0.408286
$162$	−9.89501	−	8.00555i	−0.777426	−	0.628975i
$163$		−	3.73366i		−	0.292443i	−0.989252	−	0.146222i	$-0.953289\pi$
$163$		−	3.73366i		−	0.292443i	0.989252	−	0.146222i	$-0.0467112\pi$
$164$	−1.60730	+	19.1276i	−0.125509	+	1.49362i
$165$	−0.560183	+	5.93361i	−0.0436102	+	0.461931i
$166$	−12.5678	−	13.6681i	−0.975447	−	1.06085i
$167$	2.97544	+	5.15361i	0.230247	+	0.398799i	0.957881	−	0.287167i	$-0.0927134\pi$
$167$	2.97544	+	5.15361i	0.230247	+	0.398799i	−0.727634	+	0.685965i	$0.759380\pi$
$168$	0.223084	+	5.31854i	0.0172113	+	0.410334i
$169$	−0.294917	+	0.510811i	−0.0226859	+	0.0392932i
$170$	−5.58154	+	1.24745i	−0.428084	+	0.0956753i
$171$	0.0983125	−	0.516035i	0.00751815	−	0.0394622i
$172$	−5.22335	−	11.1018i	−0.398277	−	0.846508i
$173$	3.80827	+	2.19871i	0.289537	+	0.167164i	0.637733	−	0.770257i	$-0.279872\pi$
$173$	3.80827	+	2.19871i	0.289537	+	0.167164i	−0.348196	+	0.937422i	$0.613206\pi$
$174$	17.7290	−	13.4596i	1.34403	−	1.02037i
$175$	−0.543298	−	0.941020i	−0.0410695	−	0.0711345i
$176$	2.29696	−	13.5710i	0.173140	−	1.02295i
$177$	6.36099	+	13.8893i	0.478121	+	1.04398i
$178$	0.693832	+	0.217456i	0.0520049	+	0.0162990i
$179$			0.378669i			0.0283031i	0.999900	+	0.0141515i	$0.00450472\pi$
$179$			0.378669i			0.0283031i	−0.999900	+	0.0141515i	$0.995495\pi$
$180$	−5.77926	−	1.61248i	−0.430761	−	0.120187i
$181$			23.3405i			1.73489i	0.497536	+	0.867443i	$0.334238\pi$
$181$			23.3405i			1.73489i	−0.497536	+	0.867443i	$0.665762\pi$
$182$	−1.61898	+	5.16566i	−0.120007	+	0.382904i
$183$	6.09999	−	8.58567i	0.450924	−	0.634671i
$184$	−5.09630	+	12.4850i	−0.375704	+	0.920408i
$185$	1.27543	+	2.20911i	0.0937713	+	0.162417i
$186$	7.40817	−	0.936543i	0.543193	−	0.0686707i
$187$	−12.0514	−	6.95790i	−0.881289	−	0.508812i
$188$	7.01416	−	3.30012i	0.511560	−	0.240686i
$189$	3.90937	+	4.07376i	0.284365	+	0.296322i
$190$	−0.0540133	−	0.241674i	−0.00391854	−	0.0175329i
$191$	−5.71469	+	9.89814i	−0.413501	+	0.716204i	−0.995270	−	0.0971497i	$-0.969027\pi$
$191$	−5.71469	+	9.89814i	−0.413501	+	0.716204i	0.581769	+	0.813354i	$0.302361\pi$
$192$	13.0370	+	4.69439i	0.940863	+	0.338789i
$193$	−6.54342	−	11.3335i	−0.471006	−	0.815806i	0.528444	−	0.848968i	$-0.322775\pi$
$193$	−6.54342	−	11.3335i	−0.471006	−	0.815806i	−0.999450	+	0.0331624i	$0.989442\pi$
$194$	−5.85935	+	5.38764i	−0.420677	+	0.386810i
$195$	−4.97407	−	3.53400i	−0.356200	−	0.253075i
$196$	−0.974560	+	11.5977i	−0.0696114	+	0.828410i
$197$		−	15.2204i		−	1.08441i	−0.840247	−	0.542204i	$-0.817590\pi$
$197$		−	15.2204i		−	1.08441i	0.840247	−	0.542204i	$-0.182410\pi$
$198$	−7.69558	−	12.4059i	−0.546901	−	0.881651i
$199$	8.00836			0.567698			0.283849	−	0.958869i	$-0.408389\pi$
$199$	8.00836			0.567698			0.283849	+	0.958869i	$0.408389\pi$
$200$	−2.80229	+	0.383620i	−0.198152	+	0.0271261i
$201$	−7.69790	−	16.8084i	−0.542968	−	1.18557i
$202$	−14.5628	−	15.8379i	−1.02464	−	1.11435i
$203$	−8.55137	+	4.93714i	−0.600189	+	0.346519i
$204$	9.04170	−	10.7007i	0.633046	−	0.749201i
$205$	8.31169	+	4.79876i	0.580514	+	0.335160i
$206$	1.44837	+	6.48050i	0.100913	+	0.451518i
$207$	4.70701	+	13.5064i	0.327160	+	0.938761i
$208$	10.8564	+	8.98333i	0.752759	+	0.622882i
$209$	0.301269	−	0.521814i	0.0208392	−	0.0360946i
$210$	2.45373	+	1.03119i	0.169323	+	0.0711592i
$211$	−17.1920	+	9.92580i	−1.18354	+	0.683320i	−0.956832	−	0.290642i	$-0.906131\pi$
$211$	−17.1920	+	9.92580i	−1.18354	+	0.683320i	−0.226713	+	0.973962i	$0.572798\pi$
$212$	7.34555	−	10.5676i	0.504495	−	0.725784i
$213$	2.23573	−	23.6815i	0.153190	−	1.62263i
$214$	7.42679	−	23.6965i	0.507685	−	1.61986i
$215$	−6.13462			−0.418378
$216$	13.6634	−	5.41398i	0.929678	−	0.368374i
$217$	−3.31243			−0.224862
$218$	3.23083	−	10.3086i	0.218820	−	0.698184i
$219$	−0.870831	+	9.22407i	−0.0588453	+	0.623305i
$220$	−5.65093	−	3.92798i	−0.380986	−	0.264824i
$221$	12.3379	−	7.12331i	0.829940	−	0.479166i
$222$	−5.76029	−	2.42080i	−0.386605	−	0.162473i
$223$	−6.09858	+	10.5631i	−0.408391	+	0.707355i	−0.994710	−	0.102726i	$-0.967243\pi$
$223$	−6.09858	+	10.5631i	−0.408391	+	0.707355i	0.586318	+	0.810081i	$0.300577\pi$
$224$	−5.47637	−	2.79134i	−0.365905	−	0.186504i
$225$	−1.95972	+	2.27145i	−0.130648	+	0.151430i
$226$	−4.96575	−	22.2185i	−0.330317	−	1.47795i
$227$	14.9114	+	8.60909i	0.989703	+	0.571406i	0.905186	−	0.425016i	$-0.139732\pi$
$227$	14.9114	+	8.60909i	0.989703	+	0.571406i	0.0845178	+	0.996422i	$0.473065\pi$
$228$	0.463330	+	0.391496i	0.0306848	+	0.0259274i
$229$	15.8459	−	9.14864i	1.04713	−	0.604559i	0.125283	−	0.992121i	$-0.460016\pi$
$229$	15.8459	−	9.14864i	1.04713	−	0.604559i	0.921844	+	0.387562i	$0.126683\pi$
$230$	4.56373	+	4.96331i	0.300924	+	0.327271i
$231$	2.69658	+	5.88799i	0.177422	+	0.387402i
$232$	3.48609	+	25.4654i	0.228873	+	1.67188i
$233$	−19.4024			−1.27109			−0.635547	−	0.772063i	$-0.719225\pi$
$233$	−19.4024			−1.27109			−0.635547	+	0.772063i	$0.719225\pi$
$234$	14.9385	−	0.472570i	0.976562	−	0.0308929i
$235$		−	3.87586i		−	0.252833i
$236$	−17.5779	−	1.47707i	−1.14422	−	0.0961494i
$237$	−15.2091	−	10.8058i	−0.987934	−	0.701913i
$238$	−4.57460	+	4.20632i	−0.296527	+	0.272655i
$239$	2.09586	+	3.63013i	0.135570	+	0.234814i	0.925815	−	0.377977i	$-0.123380\pi$
$239$	2.09586	+	3.63013i	0.135570	+	0.234814i	−0.790245	+	0.612791i	$0.790047\pi$
$240$	4.89896	−	4.89900i	0.316227	−	0.316229i
$241$	−8.30114	+	14.3780i	−0.534723	+	0.926168i	0.464453	+	0.885598i	$0.346251\pi$
$241$	−8.30114	+	14.3780i	−0.534723	+	0.926168i	−0.999177	+	0.0405703i	$0.987083\pi$
$242$	−0.259264	−	1.16004i	−0.0166661	−	0.0745700i
$243$	7.06880	−	13.8936i	0.453464	−	0.891275i
$244$	5.17741	+	11.0042i	0.331450	+	0.704472i
$245$	5.03967	+	2.90965i	0.321973	+	0.185891i
$246$	−23.3234	+	2.94855i	−1.48704	+	0.187993i
$247$	0.308432	+	0.534219i	0.0196250	+	0.0339915i
$248$	−3.25854	+	7.98285i	−0.206918	+	0.506912i
$249$	13.1712	−	18.5383i	0.834690	−	1.17482i
$250$	−0.422946	+	1.34949i	−0.0267495	+	0.0853491i
$251$			19.1875i			1.21110i	0.795805	+	0.605552i	$0.207048\pi$
$251$			19.1875i			1.21110i	−0.795805	+	0.605552i	$0.792952\pi$
$252$	−6.31447	+	1.62248i	−0.397774	+	0.102207i
$253$			16.4057i			1.03142i
$254$	11.8601	+	3.71712i	0.744171	+	0.233233i
$255$	−2.91664	−	6.36850i	−0.182647	−	0.398811i
$256$	−12.1143	+	10.4520i	−0.757145	+	0.653247i
$257$	2.38827	+	4.13660i	0.148976	+	0.258034i	0.930849	−	0.365403i	$-0.119069\pi$
$257$	2.38827	+	4.13660i	0.148976	+	0.258034i	−0.781873	+	0.623438i	$0.785736\pi$
$258$	11.9684	−	9.08620i	0.745120	−	0.565682i
$259$	2.40041	+	1.38588i	0.149154	+	0.0861141i
$260$	6.37523	−	2.99951i	0.395375	−	0.186022i
$261$	20.6414	+	17.8087i	1.27767	+	1.10233i
$262$	3.18711	−	0.712308i	0.196901	−	0.0440066i
$263$	−15.0865	+	26.1306i	−0.930273	+	1.61128i	−0.147419	+	0.989074i	$0.547096\pi$
$263$	−15.0865	+	26.1306i	−0.930273	+	1.61128i	−0.782854	+	0.622205i	$0.786237\pi$
$264$	16.8426	−	0.706457i	1.03659	−	0.0434794i
$265$	−3.21744	−	5.57277i	−0.197646	−	0.342332i
$266$	−0.182129	−	0.198075i	−0.0111670	−	0.0121448i
$267$	−0.0837010	+	0.886583i	−0.00512242	+	0.0542580i
$268$	21.2723	+	1.78752i	1.29941	+	0.109190i
$269$		−	28.7521i		−	1.75305i	−0.481359	−	0.876523i	$-0.659857\pi$
$269$		−	28.7521i		−	1.75305i	0.481359	−	0.876523i	$-0.340143\pi$
$270$	0.459023	−	7.33412i	0.0279352	−	0.446340i
$271$	0.943026			0.0572848			0.0286424	−	0.999590i	$-0.490882\pi$
$271$	0.943026			0.0572848			0.0286424	+	0.999590i	$0.490882\pi$
$272$	5.63692	+	15.1625i	0.341788	+	0.919364i
$273$	−6.60071	−	0.623164i	−0.399493	−	0.0377156i
$274$	−19.4813	+	17.9129i	−1.17691	+	1.08216i
$275$	−2.98000	+	1.72050i	−0.179701	+	0.103750i
$276$	−16.2550	−	2.92371i	−0.978434	−	0.175987i
$277$	−24.8711	−	14.3593i	−1.49436	−	0.862768i	−0.494378	−	0.869247i	$-0.664604\pi$
$277$	−24.8711	−	14.3593i	−1.49436	−	0.862768i	−0.999979	+	0.00647934i	$0.997938\pi$
$278$	−12.5405	+	2.80275i	−0.752129	+	0.168098i
$279$	3.00964	+	8.63592i	0.180182	+	0.517019i
$280$	−2.42859	+	1.88347i	−0.145136	+	0.112559i
$281$	−3.61171	+	6.25566i	−0.215456	+	0.373181i	−0.953414	−	0.301666i	$-0.902457\pi$
$281$	−3.61171	+	6.25566i	−0.215456	+	0.373181i	0.737957	+	0.674847i	$0.235791\pi$
$282$	5.74067	+	7.56165i	0.341852	+	0.450289i
$283$	−21.5838	+	12.4614i	−1.28302	+	0.740753i	−0.977400	−	0.211400i	$-0.932198\pi$
$283$	−21.5838	+	12.4614i	−1.28302	+	0.740753i	−0.305622	+	0.952153i	$0.598864\pi$
$284$	22.5533	+	15.6769i	1.33829	+	0.930250i
$285$	0.275749	−	0.126287i	0.0163340	−	0.00748061i
$286$	16.3585	+	5.12695i	0.967297	+	0.303163i
$287$	10.4286			0.615583
$288$	−2.30160	+	16.8138i	−0.135623	+	0.990760i
$289$	−0.645155			−0.0379503
$290$	12.2633	+	3.84346i	0.720123	+	0.225696i
$291$	−7.94714	−	5.64632i	−0.465870	−	0.330993i
$292$	−8.78463	−	6.10623i	−0.514082	−	0.357340i
$293$	−0.636448	+	0.367453i	−0.0371817	+	0.0214668i	−0.518476	−	0.855092i	$-0.673500\pi$
$293$	−0.636448	+	0.367453i	−0.0371817	+	0.0214668i	0.481294	+	0.876559i	$0.340167\pi$
$294$	−14.1418	+	1.78781i	−0.824765	+	0.104267i
$295$	−4.40997	+	7.63829i	−0.256758	+	0.444718i
$296$	5.70128	−	4.42158i	0.331380	−	0.256999i
$297$	12.9007	−	12.3801i	0.748573	−	0.718365i
$298$	−0.343941	+	0.0768696i	−0.0199240	+	0.00445293i
$299$	−14.5455	−	8.39785i	−0.841188	−	0.485660i
$300$	−1.17362	−	3.25924i	−0.0677590	−	0.188172i
$301$	−5.77280	+	3.33293i	−0.332739	+	0.192107i
$302$	−14.1432	+	13.0046i	−0.813851	+	0.748331i
$303$	15.2620	−	21.4811i	0.876781	−	1.23406i
$304$	−0.656521	+	0.244072i	−0.0376541	+	0.0139985i
$305$	6.08067			0.348178
$306$	15.1228	+	8.10475i	0.864515	+	0.463318i
$307$			7.59910i			0.433704i	0.976205	+	0.216852i	$0.0695789\pi$
$307$			7.59910i			0.433704i	−0.976205	+	0.216852i	$0.930421\pi$
$308$	−7.45170	−	0.626168i	−0.424600	−	0.0356792i
$309$	−7.39420	+	3.38639i	−0.420642	+	0.192645i
$310$	2.91802	+	3.17351i	0.165733	+	0.180243i
$311$	−0.483682	−	0.837762i	−0.0274271	−	0.0475051i	0.851986	−	0.523564i	$-0.175398\pi$
$311$	−0.483682	−	0.837762i	−0.0274271	−	0.0475051i	−0.879413	+	0.476059i	$0.842065\pi$
$312$	−7.99514	+	15.2945i	−0.452636	+	0.865880i
$313$	17.3076	−	29.9776i	0.978283	−	1.69444i	0.309639	−	0.950854i	$-0.399792\pi$
$313$	17.3076	−	29.9776i	0.978283	−	1.69444i	0.668644	−	0.743582i	$-0.266875\pi$
$314$	−16.3776	+	3.66033i	−0.924241	+	0.206564i
$315$	−0.610066	+	3.20219i	−0.0343734	+	0.180423i
$316$	19.4934	−	9.17152i	1.09659	−	0.515938i
$317$	8.20499	+	4.73715i	0.460838	+	0.266065i	0.712397	−	0.701777i	$-0.247610\pi$
$317$	8.20499	+	4.73715i	0.460838	+	0.266065i	−0.251558	+	0.967842i	$0.580943\pi$
$318$	14.5311	+	6.10678i	0.814864	+	0.342451i
$319$	15.6348	+	27.0802i	0.875380	+	1.51620i
$320$	2.15003	+	7.70567i	0.120190	+	0.430760i
$321$	30.2796	+	2.85865i	1.69004	+	0.159554i
$322$	6.99112	+	2.19110i	0.389600	+	0.122105i
$323$			0.708147i			0.0394023i
$324$	9.96728	+	14.9884i	0.553738	+	0.832691i
$325$		−	3.52281i		−	0.195410i
$326$	−1.57914	+	5.03853i	−0.0874604	+	0.279058i
$327$	13.1723	+	1.24358i	0.728432	+	0.0687702i
$328$	10.2590	−	25.1327i	0.566458	−	1.38772i
$329$	−2.10575	−	3.64726i	−0.116094	−	0.201080i
$330$	3.26556	−	7.77040i	0.179763	−	0.427747i
$331$	−27.3149	−	15.7703i	−1.50137	−	0.866814i	−0.999999	−	0.00157835i	$-0.999498\pi$
$331$	−27.3149	−	15.7703i	−1.50137	−	0.866814i	−0.501366	−	0.865235i	$-0.667169\pi$
$332$	11.1792	+	23.7604i	0.613536	+	1.30402i
$333$	1.43217	−	7.51736i	0.0784825	−	0.411949i
$334$	−1.83562	−	8.21319i	−0.100441	−	0.449406i
$335$	5.33683	−	9.24366i	0.291582	−	0.505035i
$336$	1.94841	−	7.27165i	0.106294	−	0.396701i
$337$	0.952143	+	1.64916i	0.0518666	+	0.0898355i	0.890793	−	0.454409i	$-0.150150\pi$
$337$	0.952143	+	1.64916i	0.0518666	+	0.0898355i	−0.838926	+	0.544245i	$0.816816\pi$
$338$	0.614032	−	0.564599i	0.0333990	−	0.0307101i
$339$	25.3511	−	11.6103i	1.37689	−	0.630584i
$340$	8.05982	+	0.677268i	0.437105	+	0.0367300i
$341$			10.4897i			0.568049i
$342$	−0.350927	+	0.654802i	−0.0189759	+	0.0354076i
$343$	13.9294			0.752118
$344$	2.35337	+	17.1910i	0.126885	+	0.926876i
$345$	−4.78286	+	6.73182i	−0.257500	+	0.362429i
$346$	−4.20928	−	4.57782i	−0.226292	−	0.246105i
$347$	−0.601471	+	0.347260i	−0.0322887	+	0.0186419i	−0.516057	−	0.856554i	$-0.672601\pi$
$347$	−0.601471	+	0.347260i	−0.0322887	+	0.0186419i	0.483769	+	0.875196i	$0.339268\pi$
$348$	−29.6178	+	10.6651i	−1.58768	+	0.571709i
$349$	11.2636	+	6.50306i	0.602929	+	0.348101i	0.770193	−	0.637811i	$-0.220160\pi$
$349$	11.2636	+	6.50306i	0.602929	+	0.348101i	−0.167264	+	0.985912i	$0.553493\pi$
$350$	0.335173	+	1.49968i	0.0179158	+	0.0801613i
$351$	4.37267	+	17.7751i	0.233396	+	0.948765i
$352$	−8.83953	+	17.3424i	−0.471148	+	0.924353i
$353$	10.3794	−	17.9776i	0.552438	−	0.956850i	−0.445660	−	0.895202i	$-0.647031\pi$
$353$	10.3794	−	17.9776i	0.552438	−	0.956850i	0.998098	−	0.0616481i	$-0.0196356\pi$
$354$	−2.70966	−	21.4337i	−0.144017	−	1.13919i
$355$	11.8934	−	6.86665i	0.631236	−	0.364444i
$356$	−0.844345	−	0.586907i	−0.0447502	−	0.0311060i
$357$	−6.20461	−	4.40828i	−0.328383	−	0.233311i
$358$	0.160157	−	0.511009i	0.00846455	−	0.0270077i
$359$	6.05360			0.319497			0.159748	−	0.987158i	$-0.448932\pi$
$359$	6.05360			0.319497			0.159748	+	0.987158i	$0.448932\pi$
$360$	7.11705	+	4.62034i	0.375102	+	0.243514i
$361$	18.9693			0.998386
$362$	9.87178	−	31.4977i	0.518849	−	1.65548i
$363$	1.32359	−	0.606178i	0.0694707	−	0.0318161i
$364$	4.36960	−	6.28625i	0.229029	−	0.329489i
$365$	−4.63254	+	2.67460i	−0.242478	+	0.139995i
$366$	−11.8631	+	9.00628i	−0.620096	+	0.470766i
$367$	7.26903	−	12.5903i	0.379440	−	0.657210i	−0.611541	−	0.791213i	$-0.709450\pi$
$367$	7.26903	−	12.5903i	0.379440	−	0.657210i	0.990981	+	0.134003i	$0.0427833\pi$
$368$	12.1579	−	14.6929i	0.633774	−	0.765922i
$369$	−9.47534	−	27.1888i	−0.493267	−	1.41539i
$370$	−0.786841	−	3.52060i	−0.0409059	−	0.183027i
$371$	−6.05535	−	3.49606i	−0.314378	−	0.181506i
$372$	−10.3933	−	1.86940i	−0.538869	−	0.0969240i
$373$	−10.9388	+	6.31549i	−0.566387	+	0.327004i	−0.755705	−	0.654912i	$-0.772706\pi$
$373$	−10.9388	+	6.31549i	−0.566387	+	0.327004i	0.189318	+	0.981916i	$0.439372\pi$
$374$	13.3205	+	14.4867i	0.688784	+	0.749090i
$375$	−1.72438	−	0.162796i	−0.0890468	−	0.00840677i
$376$	−10.8613	+	1.48686i	−0.560128	+	0.0766789i
$377$	−32.0129			−1.64875
$378$	−3.55266	−	7.15094i	−0.182729	−	0.367805i
$379$			20.3875i			1.04724i	0.851953	+	0.523618i	$0.175418\pi$
$379$			20.3875i			1.04724i	−0.851953	+	0.523618i	$0.824582\pi$
$380$	−0.0293249	+	0.348981i	−0.00150434	+	0.0179024i
$381$	−1.43076	+	15.1550i	−0.0732999	+	0.776412i
$382$	11.8983	−	10.9404i	0.608769	−	0.559760i
$383$	−15.5120	−	26.8676i	−0.792627	−	1.37287i	−0.924335	−	0.381581i	$-0.875380\pi$
$383$	−15.5120	−	26.8676i	−0.792627	−	1.37287i	0.131709	−	0.991288i	$-0.457954\pi$
$384$	−15.6078	−	11.8490i	−0.796480	−	0.604665i
$385$	−1.86949	+	3.23805i	−0.0952781	+	0.165027i
$386$	4.03679	+	18.0620i	0.205467	+	0.919330i
$387$	13.9345	+	12.0222i	0.708329	+	0.611121i
$388$	10.1858	−	4.79236i	0.517106	−	0.243295i
$389$	−31.6328	−	18.2632i	−1.60384	−	0.925980i	−0.990708	−	0.136003i	$-0.956574\pi$
$389$	−31.6328	−	18.2632i	−1.60384	−	0.925980i	−0.613137	−	0.789977i	$-0.710092\pi$
$390$	5.21775	+	6.87285i	0.264211	+	0.348020i
$391$	−9.64057	−	16.6980i	−0.487545	−	0.844452i
$392$	6.22038	−	15.2388i	0.314176	−	0.769677i
$393$	1.66543	+	3.63648i	0.0840098	+	0.183436i
$394$	−6.43741	+	20.5397i	−0.324312	+	1.03478i
$395$		−	10.7716i		−	0.541977i
$396$	5.13804	+	19.9965i	0.258196	+	1.00486i
$397$		−	9.32984i		−	0.468251i	−0.972206	−	0.234126i	$-0.924777\pi$
$397$		−	9.32984i		−	0.468251i	0.972206	−	0.234126i	$-0.0752227\pi$
$398$	−10.8072	−	3.38711i	−0.541715	−	0.169780i
$399$	0.190874	−	0.268653i	0.00955564	−	0.0134495i
$400$	3.94391	+	0.667527i	0.197195	+	0.0333764i
$401$	−16.6704	−	28.8739i	−0.832479	−	1.44190i	−0.896067	−	0.443920i	$-0.853588\pi$
$401$	−16.6704	−	28.8739i	−0.832479	−	1.44190i	0.0635876	−	0.997976i	$-0.479746\pi$
$402$	3.27916	+	25.9386i	0.163550	+	1.29370i
$403$	−9.30031	−	5.36954i	−0.463282	−	0.267476i
$404$	12.9538	+	27.5323i	0.644474	+	1.36978i
$405$	8.90283	−	1.31896i	0.442385	−	0.0655396i
$406$	13.6281	−	3.04583i	0.676352	−	0.151162i
$407$	4.38875	−	7.60154i	0.217542	−	0.376794i
$408$	−16.7275	+	10.6164i	−0.828135	+	0.525588i
$409$	14.5790	+	25.2516i	0.720887	+	1.24861i	0.960645	+	0.277780i	$0.0895985\pi$
$409$	14.5790	+	25.2516i	0.720887	+	1.24861i	−0.239758	+	0.970833i	$0.577068\pi$
$410$	−9.18691	−	9.99127i	−0.453709	−	0.493433i
$411$	−26.4228	−	18.7730i	−1.30334	−	0.926003i
$412$	0.786348	−	9.35793i	0.0387406	−	0.461032i
$413$			9.58371i			0.471584i
$414$	−0.639568	−	20.2176i	−0.0314330	−	0.993638i
$415$	13.1295			0.644500
$416$	−10.8512	−	16.7146i	−0.532022	−	0.819500i
$417$	−6.55304	−	14.3086i	−0.320904	−	0.700696i
$418$	−0.627259	+	0.576761i	−0.0306802	+	0.0282103i
$419$	13.2331	−	7.64011i	0.646477	−	0.373244i	−0.140628	−	0.990062i	$-0.544912\pi$
$419$	13.2331	−	7.64011i	0.646477	−	0.373244i	0.787105	+	0.616819i	$0.211579\pi$
$420$	−2.87514	−	2.42938i	−0.140292	−	0.118542i
$421$	15.0673	+	8.69913i	0.734337	+	0.423970i	0.820007	−	0.572354i	$-0.193970\pi$
$421$	15.0673	+	8.69913i	0.734337	+	0.423970i	−0.0856696	+	0.996324i	$0.527303\pi$
$422$	27.3984	−	6.12345i	1.33374	−	0.298085i
$423$	−7.59562	+	8.80382i	−0.369312	+	0.428056i
$424$	−14.3822	+	11.1540i	−0.698464	+	0.541688i
$425$	2.02206	−	3.50230i	0.0980841	−	0.169887i
$426$	−13.0331	+	31.0123i	−0.631455	+	1.50255i
$427$	5.72203	−	3.30362i	0.276909	−	0.159873i
$428$	−20.0447	+	28.8371i	−0.968899	+	1.39389i
$429$	−1.97342	+	20.9030i	−0.0952775	+	1.00920i
$430$	8.27860	+	2.59462i	0.399229	+	0.125123i
$431$	22.5110			1.08432			0.542159	−	0.840276i	$-0.317607\pi$
$431$	22.5110			1.08432			0.542159	+	0.840276i	$0.317607\pi$
$432$	−20.7284	+	1.52720i	−0.997297	+	0.0734776i
$433$	−19.0785			−0.916857			−0.458428	−	0.888731i	$-0.651587\pi$
$433$	−19.0785			−0.916857			−0.458428	+	0.888731i	$0.651587\pi$
$434$	4.47008	+	1.40098i	0.214571	+	0.0672491i
$435$	−1.47939	+	15.6701i	−0.0709312	+	0.751322i
$436$	−8.71994	+	12.5448i	−0.417609	+	0.600787i
$437$	0.723003	−	0.417426i	0.0345859	−	0.0199682i
$438$	5.07646	−	12.0795i	0.242563	−	0.577179i
$439$	−11.4543	+	19.8394i	−0.546684	+	0.946885i	0.451814	+	0.892112i	$0.350777\pi$
$439$	−11.4543	+	19.8394i	−0.546684	+	0.946885i	−0.998499	+	0.0547732i	$0.982556\pi$
$440$	5.96453	+	7.69080i	0.284348	+	0.366644i
$441$	−5.74523	−	16.4855i	−0.273582	−	0.785023i
$442$	−19.6627	+	4.39454i	−0.935258	+	0.209027i
$443$	−8.74772	−	5.05050i	−0.415617	−	0.239957i	0.277583	−	0.960702i	$-0.410467\pi$
$443$	−8.74772	−	5.05050i	−0.415617	−	0.239957i	−0.693200	+	0.720745i	$0.743800\pi$
$444$	6.74957	+	5.70313i	0.320321	+	0.270658i
$445$	−0.445262	+	0.257072i	−0.0211075	+	0.0121864i
$446$	12.6976	−	11.6753i	0.601247	−	0.552843i
$447$	−0.179727	−	0.392435i	−0.00850078	−	0.0185615i
$448$	6.20970	+	6.08308i	0.293381	+	0.287399i
$449$	10.3997			0.490792			0.245396	−	0.969423i	$-0.421082\pi$
$449$	10.3997			0.490792			0.245396	+	0.969423i	$0.421082\pi$
$450$	3.60532	−	2.23643i	0.169957	−	0.105426i
$451$		−	33.0251i		−	1.55509i
$452$	−2.69601	+	32.0838i	−0.126809	+	1.50910i
$453$	−19.1827	−	13.6290i	−0.901281	−	0.640347i
$454$	−16.4815	−	17.9246i	−0.773517	−	0.841242i
$455$	−1.91394	−	3.31503i	−0.0897267	−	0.155411i
$456$	−0.459676	−	0.724282i	−0.0215263	−	0.0339176i
$457$	−9.28138	+	16.0758i	−0.434165	+	0.751996i	−0.997227	−	0.0744190i	$-0.976290\pi$
$457$	−9.28138	+	16.0758i	−0.434165	+	0.751996i	0.563062	+	0.826414i	$0.309623\pi$
$458$	−25.2532	+	5.64401i	−1.18001	+	0.263727i
$459$	−5.85551	+	20.1815i	−0.273312	+	0.941993i
$460$	−4.05949	−	8.62813i	−0.189275	−	0.402289i
$461$	−19.7217	−	11.3863i	−0.918531	−	0.530314i	−0.0353651	−	0.999374i	$-0.511259\pi$
$461$	−19.7217	−	11.3863i	−0.918531	−	0.530314i	−0.883166	+	0.469060i	$0.844593\pi$
$462$	−1.14869	−	9.08628i	−0.0534419	−	0.422732i
$463$	13.0834	+	22.6611i	0.608036	+	1.05315i	0.991564	+	0.129620i	$0.0413756\pi$
$463$	13.0834	+	22.6611i	0.608036	+	1.05315i	−0.383528	+	0.923529i	$0.625291\pi$
$464$	6.06605	−	35.8396i	0.281609	−	1.66381i
$465$	−3.05813	+	4.30428i	−0.141817	+	0.199606i
$466$	26.1833	+	8.20617i	1.21292	+	0.380143i
$467$			1.03695i			0.0479842i	0.999712	+	0.0239921i	$0.00763766\pi$
$467$			1.03695i			0.0479842i	−0.999712	+	0.0239921i	$0.992362\pi$
$468$	−20.3592	−	5.68047i	−0.941106	−	0.262580i
$469$		−	11.5980i		−	0.535544i
$470$	−1.63928	+	5.23043i	−0.0756144	+	0.241262i
$471$	−8.55812	−	18.6867i	−0.394337	−	0.861039i
$472$	23.0965	+	9.42781i	1.06310	+	0.433950i
$473$	10.5546	+	18.2812i	0.485302	+	0.840568i
$474$	15.9542	+	21.0149i	0.732799	+	0.965247i
$475$	0.151646	+	0.0875528i	0.00695799	+	0.00401720i
$476$	7.95241	−	3.74156i	0.364498	−	0.171494i
$477$	−3.61284	+	18.9636i	−0.165421	+	0.868281i
$478$	−1.29298	−	5.78525i	−0.0591396	−	0.264611i
$479$	−20.0834	+	34.7855i	−0.917634	+	1.58939i	−0.114636	+	0.993408i	$0.536570\pi$
$479$	−20.0834	+	34.7855i	−0.917634	+	1.58939i	−0.802998	+	0.595982i	$0.796763\pi$
$480$	−8.68310	+	4.53914i	−0.396328	+	0.207182i
$481$	4.49309	+	7.78225i	0.204867	+	0.354840i
$482$	17.2834	−	15.8920i	0.787237	−	0.723860i
$483$	−0.843379	+	8.93329i	−0.0383751	+	0.406479i
$484$	−0.140760	+	1.67511i	−0.00639817	+	0.0761413i
$485$		−	5.62844i		−	0.255574i
$486$	−15.4155	+	15.7595i	−0.699261	+	0.714866i
$487$	−22.3675			−1.01357			−0.506784	−	0.862073i	$-0.669166\pi$
$487$	−22.3675			−1.01357			−0.506784	+	0.862073i	$0.669166\pi$
$488$	−2.33267	−	17.0398i	−0.105595	−	0.771355i
$489$	−6.43827	−	0.607827i	−0.291148	−	0.0274869i
$490$	−5.57034	−	6.05805i	−0.251642	−	0.273675i
$491$	0.0437068	−	0.0252341i	0.00197246	−	0.00113880i	−0.499013	−	0.866594i	$-0.666304\pi$
$491$	0.0437068	−	0.0252341i	0.00197246	−	0.00113880i	0.500986	+	0.865455i	$0.332971\pi$
$492$	32.7217	+	5.88551i	1.47521	+	0.265339i
$493$	−31.8266	−	18.3751i	−1.43340	−	0.827574i
$494$	−0.190279	−	0.851372i	−0.00856104	−	0.0383050i
$495$	10.1406	+	1.93194i	0.455787	+	0.0868343i
$496$	7.77368	−	9.39457i	0.349049	−	0.421829i
$497$	7.46128	−	12.9233i	0.334684	−	0.579690i
$498$	−25.6151	+	19.4465i	−1.14784	+	0.871419i
$499$	35.7849	−	20.6604i	1.60195	−	0.924888i	0.610856	−	0.791742i	$-0.290825\pi$
$499$	35.7849	−	20.6604i	1.60195	−	0.924888i	0.991096	−	0.133146i	$-0.0425079\pi$
$500$	1.14152	−	1.64223i	0.0510504	−	0.0734429i
$501$	9.37120	−	4.29181i	0.418674	−	0.191744i
$502$	8.11529	−	25.8933i	0.362203	−	1.15567i
$503$	−20.8617			−0.930176			−0.465088	−	0.885264i	$-0.653977\pi$
$503$	−20.8617			−0.930176			−0.465088	+	0.885264i	$0.653977\pi$
$504$	9.20752	+	0.481156i	0.410135	+	0.0214324i
$505$	15.2137			0.677001
$506$	6.93873	−	22.1393i	0.308464	−	0.984211i
$507$	0.832823	+	0.591708i	0.0369870	+	0.0262787i
$508$	−14.4330	−	10.0324i	−0.640359	−	0.445116i
$509$	7.80879	−	4.50841i	0.346118	−	0.199832i	−0.316856	−	0.948474i	$-0.602627\pi$
$509$	7.80879	−	4.50841i	0.346118	−	0.199832i	0.662974	+	0.748642i	$0.269294\pi$
$510$	1.24243	+	9.82779i	0.0550158	+	0.435182i
$511$	−2.90621	+	5.03371i	−0.128563	+	0.222678i
$512$	20.7687	−	8.98107i	0.917857	−	0.396911i
$513$	−0.873838	−	0.253537i	−0.0385809	−	0.0111939i
$514$	−1.47338	−	6.59241i	−0.0649879	−	0.290779i
$515$	−4.06638	−	2.34773i	−0.179186	−	0.103453i
$516$	−19.9942	+	7.19972i	−0.880194	+	0.316950i
$517$	−11.5501	+	6.66843i	−0.507971	+	0.293277i
$518$	−2.65317	−	2.88547i	−0.116574	−	0.126780i
$519$	4.41138	−	6.20897i	0.193638	−	0.272544i
$520$	−9.87193	+	1.35142i	−0.432913	+	0.0592637i
$521$	−40.5989			−1.77867			−0.889334	−	0.457258i	$-0.848832\pi$
$521$	−40.5989			−1.77867			−0.889334	+	0.457258i	$0.848832\pi$
$522$	−20.3232	−	32.7628i	−0.889524	−	1.43399i
$523$			14.6415i			0.640229i	0.947379	+	0.320115i	$0.103721\pi$
$523$			14.6415i			0.640229i	−0.947379	+	0.320115i	$0.896279\pi$
$524$	−4.60224	−	0.386727i	−0.201050	−	0.0168942i
$525$	−1.71113	+	0.783660i	−0.0746797	+	0.0342017i
$526$	31.4108	−	28.8821i	1.36958	−	1.25932i
$527$	−6.16412	−	10.6766i	−0.268513	−	0.465079i
$528$	−23.0277	−	6.17016i	−1.00215	−	0.268522i
$529$	0.134489	−	0.232942i	0.00584734	−	0.0101279i
$530$	1.98491	+	8.88119i	0.0862191	+	0.385774i
$531$	24.9860	−	8.70766i	1.08430	−	0.377880i
$532$	0.162006	+	0.344331i	0.00702383	+	0.0149286i
$533$	29.2805	+	16.9051i	1.26828	+	0.732241i
$534$	0.487930	−	1.16103i	0.0211148	−	0.0502427i
$535$	8.77983	+	15.2071i	0.379585	+	0.657461i
$536$	−27.9507	−	11.4093i	−1.20729	−	0.492806i
$537$	0.652971	+	0.0616460i	0.0281778	+	0.00266022i
$538$	−12.1606	+	38.8006i	−0.524281	+	1.67281i
$539$		−	20.0243i		−	0.862506i
$540$	−3.72138	+	9.70316i	−0.160143	+	0.417558i
$541$		−	16.3614i		−	0.703433i	−0.936107	−	0.351716i	$-0.885598\pi$
$541$		−	16.3614i		−	0.703433i	0.936107	−	0.351716i	$-0.114402\pi$
$542$	−1.27260	−	0.398849i	−0.0546629	−	0.0171321i
$543$	40.2480	+	3.79975i	1.72721	+	0.163063i
$544$	−1.19401	−	22.8458i	−0.0511928	−	0.979504i
$545$	3.81944	+	6.61546i	0.163607	+	0.283375i
$546$	8.64402	+	3.63270i	0.369930	+	0.155465i
$547$	15.6247	+	9.02092i	0.668064	+	0.385707i	0.795343	−	0.606160i	$-0.207291\pi$
$547$	15.6247	+	9.02092i	0.668064	+	0.385707i	−0.127279	+	0.991867i	$0.540624\pi$
$548$	33.8659	−	15.9337i	1.44668	−	0.680654i
$549$	−13.8119	−	11.9164i	−0.589478	−	0.508581i
$550$	4.74915	−	1.06142i	0.202504	−	0.0452590i
$551$	0.795622	−	1.37806i	0.0338946	−	0.0587072i
$552$	20.6993	+	10.8205i	0.881021	+	0.460551i
$553$	−5.85218	−	10.1363i	−0.248860	−	0.431038i
$554$	27.4900	+	29.8968i	1.16794	+	1.27019i
$555$	4.01698	−	1.83969i	0.170511	−	0.0780906i
$556$	18.1086	+	1.52167i	0.767978	+	0.0645333i
$557$			0.961354i			0.0407339i	0.999793	+	0.0203669i	$0.00648345\pi$
$557$			0.961354i			0.0407339i	−0.999793	+	0.0203669i	$0.993517\pi$
$558$	−0.408936	−	12.9270i	−0.0173116	−	0.547243i
$559$	−21.6111			−0.914052
$560$	4.07396	−	1.51456i	0.172156	−	0.0640019i
$561$	−13.9600	+	19.6486i	−0.589393	+	0.829564i
$562$	7.51976	−	6.91438i	0.317202	−	0.291665i
$563$	23.4112	−	13.5165i	0.986664	−	0.569651i	0.0823888	−	0.996600i	$-0.473745\pi$
$563$	23.4112	−	13.5165i	0.986664	−	0.569651i	0.904276	+	0.426949i	$0.140412\pi$
$564$	−4.54879	−	12.6323i	−0.191539	−	0.531918i
$565$	13.9417	+	8.04922i	0.586530	+	0.338633i
$566$	34.3975	−	7.68772i	1.44584	−	0.323139i
$567$	7.66115	−	6.07806i	0.321738	−	0.255254i
$568$	−23.8049	−	30.6945i	−0.998832	−	1.28791i
$569$	−5.09723	+	8.82867i	−0.213687	+	0.370117i	−0.952866	−	0.303393i	$-0.901881\pi$
$569$	−5.09723	+	8.82867i	−0.213687	+	0.370117i	0.739179	+	0.673510i	$0.235214\pi$
$570$	−0.425532	+	0.0537960i	−0.0178236	+	0.00225326i
$571$	−0.0780282	+	0.0450496i	−0.00326538	+	0.00188527i	−0.501632	−	0.865081i	$-0.667267\pi$
$571$	−0.0780282	+	0.0450496i	−0.00326538	+	0.00188527i	0.498366	+	0.866966i	$0.333933\pi$
$572$	−19.9071	−	13.8375i	−0.832359	−	0.578575i
$573$	16.1379	+	11.4657i	0.674169	+	0.478987i
$574$	−14.0733	−	4.41075i	−0.587409	−	0.184101i
$575$	−4.76771			−0.198827
$576$	10.2173	−	21.7165i	0.425721	−	0.904854i
$577$	−24.5187			−1.02073			−0.510364	−	0.859959i	$-0.670489\pi$
$577$	−24.5187			−1.02073			−0.510364	+	0.859959i	$0.670489\pi$
$578$	0.870629	+	0.272866i	0.0362134	+	0.0113497i
$579$	−20.6086	+	9.43830i	−0.856464	+	0.392242i
$580$	−14.9235	−	10.3734i	−0.619666	−	0.430732i
$581$	12.3551	−	7.13322i	0.512576	−	0.295936i
$582$	8.33647	+	10.9809i	0.345558	+	0.455171i
$583$	−11.0712	+	19.1759i	−0.458523	+	0.794185i
$584$	9.27215	+	11.9557i	0.383684	+	0.494731i
$585$	−6.90373	+	8.00187i	−0.285434	+	0.330837i
$586$	1.01429	−	0.226690i	0.0419000	−	0.00936449i
$587$	19.0995	+	11.0271i	0.788320	+	0.455137i	0.839371	−	0.543559i	$-0.182924\pi$
$587$	19.0995	+	11.0271i	0.788320	+	0.455137i	−0.0510506	+	0.998696i	$0.516257\pi$
$588$	19.8403	+	3.56859i	0.818200	+	0.147166i
$589$	0.462284	−	0.266900i	0.0190481	−	0.0109974i
$590$	9.18178	−	8.44259i	0.378008	−	0.347576i
$591$	−26.2458	−	2.47783i	−1.07961	−	0.101924i
$592$	−9.56389	+	3.55553i	−0.393074	+	0.146131i
$593$	44.4554			1.82556			0.912782	−	0.408447i	$-0.133930\pi$
$593$	44.4554			1.82556			0.912782	+	0.408447i	$0.133930\pi$
$594$	−22.6454	+	11.2505i	−0.929152	+	0.461613i
$595$		−	4.39432i		−	0.180150i
$596$	0.496656	+	0.0417340i	0.0203438	+	0.00170949i
$597$	1.30373	−	13.8095i	0.0533583	−	0.565185i
$598$	16.0771	+	17.4848i	0.657443	+	0.715005i
$599$	−21.1485	−	36.6302i	−0.864102	−	1.49667i	−0.867936	−	0.496677i	$-0.834554\pi$
$599$	−21.1485	−	36.6302i	−0.864102	−	1.49667i	0.00383329	−	0.999993i	$-0.498780\pi$
$600$	0.205306	+	4.89468i	0.00838157	+	0.199824i
$601$	−13.9160	+	24.1033i	−0.567646	+	0.983192i	0.429152	+	0.903232i	$0.358813\pi$
$601$	−13.9160	+	24.1033i	−0.567646	+	0.983192i	−0.996798	+	0.0799599i	$0.974521\pi$
$602$	9.19998	−	2.05616i	0.374963	−	0.0838029i
$603$	−30.2374	+	10.5378i	−1.23136	+	0.429132i
$604$	24.5863	−	11.5677i	1.00040	−	0.470684i
$605$	0.727900	+	0.420253i	0.0295933	+	0.0170857i
$606$	−29.6813	+	22.5335i	−1.20572	+	0.915362i
$607$	−4.21546	−	7.30139i	−0.171100	−	0.296354i	0.767705	−	0.640804i	$-0.221399\pi$
$607$	−4.21546	−	7.30139i	−0.171100	−	0.296354i	−0.938805	+	0.344450i	$0.888066\pi$
$608$	0.989197	−	0.0516993i	0.0401172	−	0.00209669i
$609$	7.12138	+	15.5496i	0.288573	+	0.630101i
$610$	−8.20578	−	2.57180i	−0.332242	−	0.104129i
$611$		−	13.6539i		−	0.552378i
$612$	−16.9802	−	17.3334i	−0.686384	−	0.700661i
$613$			16.2955i			0.658170i	0.944300	+	0.329085i	$0.106740\pi$
$613$			16.2955i			0.658170i	−0.944300	+	0.329085i	$0.893260\pi$
$614$	3.21401	−	10.2549i	0.129707	−	0.413854i
$615$	9.62801	−	13.5513i	0.388239	−	0.546442i
$616$	9.79115	+	3.99668i	0.394497	+	0.161031i
$617$	14.9049	+	25.8161i	0.600050	+	1.03932i	0.992813	+	0.119677i	$0.0381859\pi$
$617$	14.9049	+	25.8161i	0.600050	+	1.03932i	−0.392763	+	0.919640i	$0.628481\pi$
$618$	11.4106	−	1.44254i	0.459004	−	0.0580274i
$619$	−5.42092	−	3.12977i	−0.217885	−	0.125796i	0.387085	−	0.922044i	$-0.373482\pi$
$619$	−5.42092	−	3.12977i	−0.217885	−	0.125796i	−0.604971	+	0.796248i	$0.706815\pi$
$620$	−2.59561	−	5.51678i	−0.104242	−	0.221559i
$621$	24.0565	−	5.91790i	0.965355	−	0.237477i
$622$	0.298395	+	1.33512i	0.0119645	+	0.0535335i
$623$	−0.279334	+	0.483821i	−0.0111913	+	0.0193839i
$624$	17.2581	−	17.2582i	0.690877	−	0.690882i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−36.0353	+	33.1343i	−1.44026	+	1.32431i
$627$	−0.850762	−	0.604454i	−0.0339762	−	0.0241395i
$628$	23.6495	+	1.98727i	0.943717	+	0.0793006i
$629$			10.3159i			0.411324i
$630$	2.17763	−	4.06330i	0.0867590	−	0.161886i
$631$	17.4359			0.694111			0.347056	−	0.937845i	$-0.387182\pi$
$631$	17.4359			0.694111			0.347056	+	0.937845i	$0.387182\pi$
$632$	−30.1851	+	4.13220i	−1.20070	+	0.164370i
$633$	14.3171	+	31.2614i	0.569053	+	1.24253i
$634$	−9.06897	−	9.86300i	−0.360175	−	0.391710i
$635$	−7.61117	+	4.39431i	−0.302040	+	0.174383i
$636$	−17.0267	−	14.3869i	−0.675153	−	0.570478i
$637$	17.7538	+	10.2501i	0.703430	+	0.406126i
$638$	−9.64546	−	43.1571i	−0.381867	−	1.70861i
$639$	−40.4720	−	7.71052i	−1.60105	−	0.305024i
$640$	0.357643	−	11.3081i	0.0141371	−	0.446990i
$641$	−0.428369	+	0.741958i	−0.0169196	+	0.0293056i	−0.874361	−	0.485276i	$-0.838719\pi$
$641$	−0.428369	+	0.741958i	−0.0169196	+	0.0293056i	0.857442	+	0.514581i	$0.172053\pi$
$642$	−39.6529	−	16.6644i	−1.56497	−	0.657690i
$643$	−5.05352	+	2.91765i	−0.199292	+	0.115061i	−0.596325	−	0.802743i	$-0.703373\pi$
$643$	−5.05352	+	2.91765i	−0.199292	+	0.115061i	0.397033	+	0.917804i	$0.370040\pi$
$644$	−8.50771	−	5.91374i	−0.335251	−	0.233034i
$645$	−0.998695	+	10.5784i	−0.0393236	+	0.416526i
$646$	0.299508	−	0.955635i	0.0117840	−	0.0375990i
$647$	10.2832			0.404276			0.202138	−	0.979357i	$-0.435211\pi$
$647$	10.2832			0.404276			0.202138	+	0.979357i	$0.435211\pi$
$648$	−7.11141	−	24.4423i	−0.279363	−	0.960186i
$649$	30.3494			1.19132
$650$	−1.48996	+	4.75398i	−0.0584410	+	0.186467i
$651$	−0.539252	+	5.71190i	−0.0211349	+	0.223867i
$652$	4.26206	−	6.13154i	0.166915	−	0.240130i
$653$	−9.06848	+	5.23569i	−0.354877	+	0.204888i	−0.666831	−	0.745209i	$-0.732350\pi$
$653$	−9.06848	+	5.23569i	−0.354877	+	0.204888i	0.311954	+	0.950097i	$0.399016\pi$
$654$	−17.2499	−	7.24939i	−0.674526	−	0.283474i
$655$	−1.15461	+	1.99985i	−0.0451145	+	0.0781407i
$656$	−24.4741	+	29.5773i	−0.955555	+	1.15480i
$657$	15.7641	+	3.00329i	0.615015	+	0.117170i
$658$	1.29909	+	5.81256i	0.0506436	+	0.226597i
$659$	−23.3646	−	13.4896i	−0.910157	−	0.525479i	−0.0296753	−	0.999560i	$-0.509447\pi$
$659$	−23.3646	−	13.4896i	−0.910157	−	0.525479i	−0.880482	+	0.474080i	$0.842781\pi$
$660$	−7.69329	+	9.10491i	−0.299461	+	0.354408i
$661$	4.35042	−	2.51172i	0.169212	−	0.0976944i	−0.413002	−	0.910730i	$-0.635520\pi$
$661$	4.35042	−	2.51172i	0.169212	−	0.0976944i	0.582214	+	0.813036i	$0.302187\pi$
$662$	30.1912	+	32.8346i	1.17341	+	1.27615i
$663$	−10.2747	−	22.4350i	−0.399038	−	0.871303i
$664$	−5.03673	−	36.7926i	−0.195463	−	1.42783i
$665$	0.190269			0.00737832
$666$	−5.11213	+	9.53885i	−0.198091	+	0.369623i
$667$			43.3258i			1.67758i
$668$	−0.996594	+	11.8600i	−0.0385594	+	0.458876i
$669$	17.2219	+	12.2359i	0.665838	+	0.473068i
$670$	−11.1116	+	10.2170i	−0.429277	+	0.394717i
$671$	−10.4618	−	18.1204i	−0.403873	−	0.699529i
$672$	−5.70487	+	8.98893i	−0.220070	+	0.346756i
$673$	0.384956	−	0.666763i	0.0148390	−	0.0257018i	−0.858511	−	0.512796i	$-0.828610\pi$
$673$	0.384956	−	0.666763i	0.0148390	−	0.0257018i	0.873350	+	0.487094i	$0.161943\pi$
$674$	−0.587399	−	2.62823i	−0.0226258	−	0.101236i
$675$	3.59781	+	3.74910i	0.138480	+	0.144303i
$676$	−1.06742	+	0.502217i	−0.0410548	+	0.0193160i
$677$	−24.4422	−	14.1117i	−0.939392	−	0.542358i	−0.0496222	−	0.998768i	$-0.515802\pi$
$677$	−24.4422	−	14.1117i	−0.939392	−	0.542358i	−0.889770	+	0.456410i	$0.849135\pi$
$678$	−39.1216	+	4.94577i	−1.50246	+	0.189941i
$679$	−3.05792	−	5.29648i	−0.117352	−	0.203260i
$680$	−10.5902	−	4.32283i	−0.406115	−	0.165773i
$681$	17.2729	−	24.3114i	0.661899	−	0.931615i
$682$	4.43658	−	14.1557i	0.169885	−	0.542051i
$683$			20.5810i			0.787510i	0.919215	+	0.393755i	$0.128824\pi$
$683$			20.5810i			0.787510i	−0.919215	+	0.393755i	$0.871176\pi$
$684$	0.750517	−	0.735224i	0.0286967	−	0.0281120i
$685$		−	18.7135i		−	0.715007i
$686$	−18.7976	−	5.89140i	−0.717695	−	0.224935i
$687$	−13.1961	−	28.8138i	−0.503463	−	1.09931i
$688$	4.09503	−	24.1944i	0.156122	−	0.922402i
$689$	−11.3344	−	19.6318i	−0.431807	−	0.747911i
$690$	9.30160	−	7.06161i	0.354106	−	0.268831i
$691$	38.5627	+	22.2642i	1.46700	+	0.846970i	0.999318	−	0.0369293i	$-0.0117576\pi$
$691$	38.5627	+	22.2642i	1.46700	+	0.846970i	0.467677	+	0.883899i	$0.345091\pi$
$692$	3.74420	+	7.95801i	0.142333	+	0.302518i
$693$	10.5922	−	3.69139i	0.402363	−	0.140224i
$694$	0.958550	−	0.214232i	0.0363861	−	0.00813215i
$695$	4.54312	−	7.86891i	0.172330	−	0.298485i
$696$	44.4796	−	1.86568i	1.68599	−	0.0707185i
$697$	19.4067	+	33.6134i	0.735082	+	1.27320i
$698$	−12.4497	−	13.5397i	−0.471228	−	0.512486i
$699$	−3.15864	+	33.4572i	−0.119471	+	1.26547i
$700$	0.181972	−	2.16556i	0.00687791	−	0.0818505i
$701$			9.54149i			0.360377i	0.983632	+	0.180188i	$0.0576708\pi$
$701$			9.54149i			0.360377i	−0.983632	+	0.180188i	$0.942329\pi$
$702$	1.61705	−	25.8367i	0.0610316	−	0.975143i
$703$	−0.446669			−0.0168464
$704$	19.2637	−	19.6647i	0.726029	−	0.741142i
$705$	−6.68347	−	0.630976i	−0.251714	−	0.0237639i
$706$	−21.6104	+	19.8706i	−0.813317	+	0.747840i
$707$	14.3164	−	8.26558i	0.538424	−	0.310859i
$708$	−5.40866	+	30.0706i	−0.203270	+	1.13012i
$709$	6.77054	+	3.90897i	0.254273	+	0.146805i	0.621719	−	0.783240i	$-0.286435\pi$
$709$	6.77054	+	3.90897i	0.254273	+	0.146805i	−0.367446	+	0.930045i	$0.619768\pi$
$710$	−18.9542	+	4.23620i	−0.711339	+	0.158982i
$711$	−21.1093	+	24.4671i	−0.791662	+	0.917588i
$712$	0.891203	+	1.14914i	0.0333993	+	0.0430657i
$713$	−7.26704	+	12.5869i	−0.272153	+	0.471382i
$714$	6.50858	+	8.57314i	0.243577	+	0.320842i
$715$	−10.4980	+	6.06100i	−0.392601	+	0.226668i
$716$	−0.432259	+	0.621863i	−0.0161543	+	0.0232401i
$717$	6.60093	−	3.02309i	0.246516	−	0.112899i
$718$	−8.16926	−	2.56035i	−0.304874	−	0.0955513i
$719$	47.4597			1.76995			0.884974	−	0.465640i	$-0.154176\pi$
$719$	47.4597			1.76995			0.884974	+	0.465640i	$0.154176\pi$
$720$	−7.65021	−	9.24523i	−0.285107	−	0.344549i
$721$	−5.10207			−0.190011
$722$	−25.5989	−	8.02301i	−0.952692	−	0.298586i
$723$	23.4418	+	16.6550i	0.871809	+	0.619407i
$724$	−26.6437	+	38.3305i	−0.990205	+	1.42454i
$725$	−7.86987	+	4.54367i	−0.292280	+	0.168748i
$726$	−2.04255	+	0.258221i	−0.0758063	+	0.00958346i
$727$	11.0035	−	19.0587i	0.408099	−	0.706847i	−0.586578	−	0.809893i	$-0.699525\pi$
$727$	11.0035	−	19.0587i	0.408099	−	0.706847i	0.994677	+	0.103045i	$0.0328586\pi$
$728$	−8.55546	+	6.63512i	−0.317087	+	0.245914i
$729$	−22.8071	−	14.4511i	−0.844708	−	0.535228i
$730$	7.38277	−	1.65002i	0.273249	−	0.0610701i
$731$	−21.4853	−	12.4045i	−0.794663	−	0.458799i
$732$	19.8183	−	7.13640i	0.732506	−	0.263769i
$733$	16.2688	−	9.39277i	0.600900	−	0.346930i	−0.168495	−	0.985702i	$-0.553891\pi$
$733$	16.2688	−	9.39277i	0.600900	−	0.346930i	0.769396	+	0.638773i	$0.220558\pi$
$734$	−15.1345	+	13.9161i	−0.558624	+	0.513652i
$735$	5.83780	−	8.21664i	0.215330	−	0.303075i
$736$	−22.6212	+	14.6858i	−0.833830	+	0.541325i
$737$	−36.7281			−1.35290
$738$	1.28747	+	40.6985i	0.0473923	+	1.49813i
$739$			16.4374i			0.604660i	0.953203	+	0.302330i	$0.0977644\pi$
$739$			16.4374i			0.604660i	−0.953203	+	0.302330i	$0.902236\pi$
$740$	−0.427192	+	5.08380i	−0.0157039	+	0.186884i
$741$	0.971410	−	0.444885i	0.0356856	−	0.0163433i
$742$	6.69298	+	7.27898i	0.245707	+	0.267220i
$743$	−1.96822	−	3.40906i	−0.0722070	−	0.125066i	0.827661	−	0.561228i	$-0.189671\pi$
$743$	−1.96822	−	3.40906i	−0.0722070	−	0.125066i	−0.899868	+	0.436162i	$0.856338\pi$
$744$	13.2350	+	6.91856i	0.485219	+	0.253647i
$745$	0.124602	−	0.215816i	0.00456505	−	0.00790689i
$746$	17.4328	−	3.89617i	0.638261	−	0.142649i
$747$	−29.8229	−	25.7301i	−1.09116	−	0.941417i
$748$	−11.8487	−	25.1835i	−0.433231	−	0.920799i
$749$	16.5240	+	9.54014i	0.603774	+	0.348589i
$750$	2.25818	+	0.949013i	0.0824571	+	0.0346531i
$751$	−18.9553	−	32.8315i	−0.691687	−	1.19804i	−0.971285	−	0.237920i	$-0.923534\pi$
$751$	−18.9553	−	32.8315i	−0.691687	−	1.19804i	0.279598	−	0.960117i	$-0.409799\pi$
$752$	15.2860	+	2.58724i	0.557424	+	0.0943471i
$753$	33.0866	+	3.12366i	1.20574	+	0.113832i
$754$	43.2011	+	13.5398i	1.57329	+	0.493089i
$755$		−	13.5858i		−	0.494440i
$756$	1.76981	+	11.1527i	0.0643675	+	0.405620i
$757$			14.6240i			0.531518i	0.964040	+	0.265759i	$0.0856225\pi$
$757$			14.6240i			0.531518i	−0.964040	+	0.265759i	$0.914377\pi$
$758$	8.62283	−	27.5127i	0.313195	−	0.999307i
$759$	28.2897	+	2.67079i	1.02685	+	0.0969435i
$760$	0.187174	−	0.458543i	0.00678951	−	0.0166331i
$761$	−0.661140	−	1.14513i	−0.0239663	−	0.0415109i	0.853794	−	0.520612i	$-0.174296\pi$
$761$	−0.661140	−	1.14513i	−0.0239663	−	0.0415109i	−0.877760	+	0.479101i	$0.840963\pi$
$762$	8.34052	−	19.8463i	0.302145	−	0.718955i
$763$	7.18833	+	4.15019i	0.260235	+	0.150247i
$764$	−20.6838	+	9.73161i	−0.748314	+	0.352077i
$765$	−11.4565	+	3.99263i	−0.414212	+	0.144354i
$766$	9.56972	+	42.8182i	0.345768	+	1.54709i
$767$	−15.5355	+	26.9082i	−0.560953	+	0.971599i
$768$	16.0510	+	22.5913i	0.579191	+	0.815192i
$769$	−10.7366	−	18.5963i	−0.387170	−	0.670598i	0.604898	−	0.796303i	$-0.293214\pi$
$769$	−10.7366	−	18.5963i	−0.387170	−	0.670598i	−0.992068	+	0.125705i	$0.959881\pi$
$770$	3.89238	−	3.57902i	0.140272	−	0.128979i
$771$	7.52189	−	3.44487i	0.270894	−	0.124064i
$772$	2.19165	−	26.0818i	0.0788793	−	0.938703i
$773$			31.1556i			1.12059i	0.828294	+	0.560294i	$0.189312\pi$
$773$			31.1556i			1.12059i	−0.828294	+	0.560294i	$0.810688\pi$
$774$	−13.7197	−	22.1173i	−0.493143	−	0.794990i
$775$	−3.04844			−0.109503
$776$	−15.7725	+	2.15918i	−0.566201	+	0.0775102i
$777$	2.78056	−	3.91361i	0.0997520	−	0.140400i
$778$	34.9637	+	38.0249i	1.25351	+	1.36326i
$779$	−1.45542	+	0.840290i	−0.0521460	+	0.0301065i
$780$	−4.13444	−	11.4817i	−0.148037	−	0.411109i
$781$	−40.9252	−	23.6282i	−1.46442	−	0.845482i
$782$	5.94749	+	26.6111i	0.212682	+	0.951612i
$783$	34.0694	−	32.6945i	1.21754	−	1.16841i
$784$	−14.8395	+	17.9337i	−0.529983	+	0.640490i
$785$	5.93320	−	10.2766i	0.211765	−	0.366788i
$786$	−0.709442	−	5.61177i	−0.0253050	−	0.200165i
$787$	9.64554	−	5.56885i	0.343826	−	0.198508i	−0.318136	−	0.948045i	$-0.603057\pi$
$787$	9.64554	−	5.56885i	0.343826	−	0.198508i	0.661963	+	0.749537i	$0.269724\pi$
$788$	17.3744	−	24.9954i	0.618938	−	0.890426i
$789$	42.6031	+	30.2688i	1.51671	+	1.07760i
$790$	−4.55580	+	14.5361i	−0.162088	+	0.517172i
$791$	17.4925			0.621962
$792$	1.52371	−	29.1581i	0.0541428	−	1.03609i
$793$	21.4210			0.760682
$794$	−3.94602	+	12.5905i	−0.140039	+	0.446820i
$795$	−10.1334	+	4.64087i	−0.359394	+	0.164595i
$796$	13.1516	+	9.14172i	0.466146	+	0.324020i
$797$	−2.23866	+	1.29249i	−0.0792974	+	0.0457824i	−0.539124	−	0.842226i	$-0.681245\pi$
$797$	−2.23866	+	1.29249i	−0.0792974	+	0.0457824i	0.459827	+	0.888009i	$0.347911\pi$
$798$	−0.371207	+	0.281814i	−0.0131406	+	0.00997611i
$799$	7.83721	−	13.5744i	0.277260	−	0.480229i
$800$	−5.03993	−	2.56888i	−0.178188	−	0.0908237i
$801$	1.51518	+	0.288665i	0.0535363	+	0.0101995i
$802$	10.2843	+	46.0157i	0.363153	+	1.62487i
$803$	15.9406	+	9.20331i	0.562532	+	0.324778i
$804$	6.54543	−	36.3907i	0.230839	−	1.28340i
$805$	−4.48651	+	2.59029i	−0.158129	+	0.0912956i
$806$	10.2796	+	11.1797i	0.362084	+	0.393787i
$807$	−49.5797	−	4.68074i	−1.74529	−	0.164770i
$808$	−5.83628	−	42.6332i	−0.205320	−	1.49983i
$809$	6.30307			0.221604			0.110802	−	0.993842i	$-0.464658\pi$
$809$	6.30307			0.221604			0.110802	+	0.993842i	$0.464658\pi$
$810$	−12.5721	−	1.98550i	−0.441739	−	0.0697634i
$811$			20.5542i			0.721754i	0.932613	+	0.360877i	$0.117523\pi$
$811$			20.5542i			0.721754i	−0.932613	+	0.360877i	$0.882477\pi$
$812$	−19.6792	−	1.65365i	−0.690604	−	0.0580316i
$813$	0.153521	−	1.62614i	0.00538423	−	0.0570312i
$814$	−9.13761	+	8.40198i	−0.320273	+	0.294489i
$815$	−1.86683	−	3.23345i	−0.0653923	−	0.113263i
$816$	27.0637	−	7.25180i	0.947419	−	0.253864i
$817$	0.537103	−	0.930290i	0.0187909	−	0.0325467i
$818$	−8.99414	−	40.2429i	−0.314473	−	1.40706i
$819$	−2.14915	+	11.2807i	−0.0750972	+	0.394180i
$820$	8.17185	+	17.3687i	0.285373	+	0.606540i
$821$	29.7709	+	17.1883i	1.03901	+	0.599875i	0.919554	−	0.392964i	$-0.128550\pi$
$821$	29.7709	+	17.1883i	1.03901	+	0.599875i	0.119460	+	0.992839i	$0.461884\pi$
$822$	27.7172	+	36.5093i	0.966749	+	1.27341i
$823$	23.3510	+	40.4451i	0.813964	+	1.40983i	0.910069	+	0.414456i	$0.136028\pi$
$823$	23.3510	+	40.4451i	0.813964	+	1.40983i	−0.0961055	+	0.995371i	$0.530639\pi$
$824$	−5.01907	+	12.2958i	−0.174848	+	0.428345i
$825$	2.48167	+	5.41875i	0.0864007	+	0.188657i
$826$	4.05339	−	12.9331i	0.141036	−	0.450000i
$827$		−	22.1851i		−	0.771452i	−0.922613	−	0.385726i	$-0.873951\pi$
$827$		−	22.1851i		−	0.771452i	0.922613	−	0.385726i	$-0.126049\pi$
$828$	−7.68785	+	27.5538i	−0.267171	+	0.957562i
$829$		−	6.87976i		−	0.238944i	−0.992838	−	0.119472i	$-0.961880\pi$
$829$		−	6.87976i		−	0.238944i	0.992838	−	0.119472i	$-0.0381202\pi$
$830$	−17.7181	−	5.55306i	−0.615003	−	0.192750i
$831$	−28.8099	+	40.5496i	−0.999404	+	1.40665i
$832$	7.57415	+	27.1456i	0.262586	+	0.941104i
$833$	11.7670	+	20.3810i	0.407701	+	0.706159i
$834$	2.79147	+	22.0809i	0.0966608	+	0.764599i
$835$	5.15361	+	2.97544i	0.178348	+	0.102969i
$836$	1.09042	−	0.513035i	0.0377128	−	0.0177437i
$837$	15.3816	−	3.78387i	0.531666	−	0.130790i
$838$	−21.0892	+	4.71336i	−0.728514	+	0.162820i
$839$	5.91157	−	10.2391i	0.204090	−	0.353494i	−0.745752	−	0.666223i	$-0.767910\pi$
$839$	5.91157	−	10.2391i	0.204090	−	0.353494i	0.949842	+	0.312729i	$0.101243\pi$
$840$	2.85247	+	4.49445i	0.0984194	+	0.155073i
$841$	26.7899	+	46.4014i	0.923789	+	1.60005i
$842$	−16.6539	−	18.1120i	−0.573932	−	0.624182i
$843$	10.1992	+	7.24637i	0.351279	+	0.249578i
$844$	−39.5637	−	3.32455i	−1.36184	−	0.114436i
$845$			0.589834i			0.0202909i
$846$	13.9737	−	8.66810i	0.480427	−	0.298016i
$847$	0.913292			0.0313811
$848$	24.1262	−	8.96931i	0.828498	−	0.308007i
$849$	17.9745	+	39.2474i	0.616882	+	1.34697i
$850$	−4.21003	+	3.87109i	−0.144403	+	0.132777i
$851$	10.5324	−	6.08087i	0.361045	−	0.208449i
$852$	30.7045	−	36.3384i	1.05192	−	1.24493i
$853$	−18.9501	−	10.9408i	−0.648838	−	0.374607i	0.139173	−	0.990268i	$-0.455556\pi$
$853$	−18.9501	−	10.9408i	−0.648838	−	0.374607i	−0.788011	+	0.615661i	$0.788889\pi$
$854$	−9.11906	+	2.03808i	−0.312048	+	0.0697416i
$855$	−0.172876	−	0.496056i	−0.00591225	−	0.0169648i
$856$	39.2466	−	30.4374i	1.34142	−	1.04033i
$857$	−19.5311	+	33.8289i	−0.667171	+	1.15557i	0.311521	+	0.950239i	$0.399162\pi$
$857$	−19.5311	+	33.8289i	−0.667171	+	1.15557i	−0.978692	+	0.205335i	$0.934172\pi$
$858$	11.5039	−	27.3736i	0.392738	−	0.934520i
$859$	26.7266	−	15.4306i	0.911900	−	0.526486i	0.0308581	−	0.999524i	$-0.490176\pi$
$859$	26.7266	−	15.4306i	0.911900	−	0.526486i	0.881042	+	0.473038i	$0.156843\pi$
$860$	−10.0745	−	7.00280i	−0.343537	−	0.238794i
$861$	1.69774	−	17.9830i	0.0578590	−	0.612858i
$862$	−30.3783	−	9.52095i	−1.03469	−	0.324285i
$863$	13.7195			0.467019			0.233509	−	0.972355i	$-0.424979\pi$
$863$	13.7195			0.467019			0.233509	+	0.972355i	$0.424979\pi$
$864$	28.6187	+	6.70607i	0.973627	+	0.228145i
$865$	4.39741			0.149516
$866$	25.7463	+	8.06920i	0.874894	+	0.274203i
$867$	−0.105029	+	1.11250i	−0.00356697	+	0.0377823i
$868$	−5.43978	−	3.78121i	−0.184638	−	0.128343i
$869$	−32.0993	+	18.5325i	−1.08889	+	0.628673i
$870$	8.62401	−	20.5208i	0.292381	−	0.695722i
$871$	18.8006	−	32.5636i	0.637034	−	1.10338i
$872$	17.0732	−	13.2410i	0.578172	−	0.448397i
$873$	−11.0302	+	12.7847i	−0.373315	+	0.432697i
$874$	−1.15223	+	0.257520i	−0.0389748	+	0.00871074i
$875$	−0.941020	−	0.543298i	−0.0318123	−	0.0183668i
$876$	−11.9596	+	14.1540i	−0.404077	+	0.478219i
$877$	−19.7672	+	11.4126i	−0.667490	+	0.385376i	−0.795125	−	0.606446i	$-0.792595\pi$
$877$	−19.7672	+	11.4126i	−0.667490	+	0.385376i	0.127635	+	0.991821i	$0.459261\pi$
$878$	23.8485	−	21.9285i	0.804847	−	0.740052i
$879$	0.530019	+	1.15730i	0.0178771	+	0.0390348i
$880$	−4.79627	−	12.9013i	−0.161682	−	0.434903i
$881$	−28.9215			−0.974392			−0.487196	−	0.873293i	$-0.661980\pi$
$881$	−28.9215			−0.974392			−0.487196	+	0.873293i	$0.661980\pi$
$882$	0.780636	+	24.6769i	0.0262854	+	0.830914i
$883$			4.31294i			0.145142i	0.997363	+	0.0725711i	$0.0231204\pi$
$883$			4.31294i			0.145142i	−0.997363	+	0.0725711i	$0.976880\pi$
$884$	28.3932	+	2.38588i	0.954966	+	0.0802459i
$885$	12.4534	+	8.84796i	0.418617	+	0.297421i
$886$	9.66885	+	10.5154i	0.324832	+	0.353272i
$887$	13.4569	+	23.3081i	0.451840	+	0.782610i	0.998500	−	0.0547448i	$-0.0174345\pi$
$887$	13.4569	+	23.3081i	0.451840	+	0.782610i	−0.546661	+	0.837354i	$0.684101\pi$
$888$	−6.69635	−	10.5510i	−0.224715	−	0.354069i
$889$	−4.77484	+	8.27027i	−0.160143	+	0.277376i
$890$	0.709604	−	0.158594i	0.0237860	−	0.00531608i
$891$	−19.2478	−	24.2611i	−0.644826	−	0.812778i
$892$	−22.0733	+	10.3853i	−0.739067	+	0.347727i
$893$	0.587758	+	0.339342i	0.0196686	+	0.0113557i
$894$	0.0765602	+	0.605600i	0.00256056	+	0.0202543i
$895$	0.189335	+	0.327937i	0.00632876	+	0.0109617i
$896$	−5.80710	−	10.8354i	−0.194002	−	0.361986i
$897$	−16.8491	+	23.7149i	−0.562574	+	0.791817i
$898$	−14.0343	−	4.39852i	−0.468330	−	0.146780i
$899$			27.7022i			0.923921i
$900$	−5.81123	+	1.49318i	−0.193708	+	0.0497727i
$901$		−	26.0234i		−	0.866964i
$902$	−13.9678	+	44.5670i	−0.465078	+	1.48392i
$903$	4.80746	+	10.4971i	0.159982	+	0.349322i
$904$	17.2080	−	42.1564i	0.572328	−	1.40210i
$905$	11.6703	+	20.2135i	0.387932	+	0.671918i
$906$	20.1225	+	26.5054i	0.668524	+	0.880584i
$907$	−10.8454	−	6.26160i	−0.360116	−	0.207913i	0.309016	−	0.951057i	$-0.400000\pi$
$907$	−10.8454	−	6.26160i	−0.360116	−	0.207913i	−0.669132	+	0.743144i	$0.733334\pi$
$908$	14.6605	+	31.1598i	0.486526	+	1.03407i
$909$	−34.5571	−	29.8147i	−1.14619	−	0.988890i
$910$	1.18075	+	5.28309i	0.0391415	+	0.175133i
$911$	−8.15070	+	14.1174i	−0.270045	+	0.467731i	−0.968873	−	0.247558i	$-0.920372\pi$
$911$	−8.15070	+	14.1174i	−0.270045	+	0.467731i	0.698828	+	0.715289i	$0.253705\pi$
$912$	0.313995	+	1.17183i	0.0103974	+	0.0388031i
$913$	−22.5893	−	39.1258i	−0.747596	−	1.29487i
$914$	19.3243	−	17.7686i	0.639192	−	0.587733i
$915$	0.989911	−	10.4854i	0.0327255	−	0.346637i
$916$	36.4660	+	3.06425i	1.20487	+	0.101246i
$917$			2.50920i			0.0828611i
$918$	16.4376	−	24.7581i	0.542523	−	0.817141i
$919$	−26.1190			−0.861587			−0.430793	−	0.902451i	$-0.641766\pi$
$919$	−26.1190			−0.861587			−0.430793	+	0.902451i	$0.641766\pi$
$920$	1.82899	+	13.3605i	0.0603000	+	0.440483i
$921$	13.1038	+	1.23711i	0.431784	+	0.0407641i
$922$	21.7984	+	23.7069i	0.717892	+	0.780746i
$923$	41.8981	−	24.1899i	1.37909	−	0.796220i
$924$	−2.29286	+	12.7477i	−0.0754297	+	0.419367i
$925$	2.20911	+	1.27543i	0.0726350	+	0.0419358i
$926$	−8.07143	−	36.1144i	−0.265244	−	1.18679i
$927$	4.63568	+	13.3017i	0.152256	+	0.436886i
$928$	−23.3443	+	45.7995i	−0.766314	+	1.50344i
$929$	16.7117	−	28.9454i	0.548292	−	0.949669i	−0.450100	−	0.892978i	$-0.648612\pi$
$929$	16.7117	−	28.9454i	0.548292	−	0.949669i	0.998392	−	0.0566908i	$-0.0180549\pi$
$930$	5.94739	−	4.51515i	0.195023	−	0.148058i
$931$	−0.882474	+	0.509497i	−0.0289219	+	0.0166981i
$932$	−31.8633	−	22.1482i	−1.04372	−	0.725490i
$933$	−1.52336	+	0.697668i	−0.0498727	+	0.0228406i
$934$	0.438573	−	1.39935i	0.0143506	−	0.0457881i
$935$	−13.9158			−0.455096
$936$	25.0720	+	16.2766i	0.819504	+	0.532017i
$937$	22.9793			0.750701			0.375351	−	0.926883i	$-0.377522\pi$
$937$	22.9793			0.750701			0.375351	+	0.926883i	$0.377522\pi$
$938$	−4.90531	+	15.6513i	−0.160164	+	0.511033i
$939$	−48.8753	−	34.7252i	−1.59499	−	1.13321i
$940$	4.42438	−	6.36507i	0.144307	−	0.207606i
$941$	−33.6085	+	19.4039i	−1.09561	+	0.632549i	−0.935064	−	0.354480i	$-0.884658\pi$
$941$	−33.6085	+	19.4039i	−1.09561	+	0.632549i	−0.160543	+	0.987029i	$0.551325\pi$
$942$	3.64560	+	28.8371i	0.118780	+	0.939564i
$943$	22.8791	−	39.6277i	0.745045	−	1.29046i
$944$	−27.1809	−	22.4913i	−0.884664	−	0.732028i
$945$	5.42249	+	1.57329i	0.176394	+	0.0511793i
$946$	−6.51139	−	29.1342i	−0.211704	−	0.947235i
$947$	−32.6187	−	18.8324i	−1.05997	−	0.611971i	−0.134543	−	0.990908i	$-0.542957\pi$
$947$	−32.6187	−	18.8324i	−1.05997	−	0.611971i	−0.925423	+	0.378937i	$0.876290\pi$
$948$	−12.6418	−	35.1071i	−0.410585	−	1.14023i
$949$	−16.3196	+	9.42210i	−0.529755	+	0.305854i
$950$	−0.167614	−	0.182289i	−0.00543812	−	0.00591425i
$951$	9.50441	−	13.3774i	0.308202	−	0.433791i
$952$	−12.3142	+	1.68575i	−0.399104	+	0.0546355i
$953$	39.0673			1.26552			0.632758	−	0.774350i	$-0.281923\pi$
$953$	39.0673			1.26552			0.632758	+	0.774350i	$0.281923\pi$
$954$	12.8961	−	24.0630i	0.417525	−	0.779070i
$955$			11.4294i			0.369846i
$956$	−0.701986	+	8.35398i	−0.0227039	+	0.270187i
$957$	49.2420	−	22.5518i	1.59177	−	0.728996i
$958$	41.8147	−	38.4484i	1.35097	−	1.24221i
$959$	−10.1670	−	17.6098i	−0.328310	−	0.568650i
$960$	13.6375	−	2.45302i	0.440150	−	0.0791710i
$961$	10.8535	−	18.7988i	0.350113	−	0.606413i
$962$	−2.77189	−	12.4024i	−0.0893693	−	0.399869i
$963$	9.85882	−	51.7482i	0.317696	−	1.66756i
$964$	−30.0452	+	14.1361i	−0.967690	+	0.455293i
$965$	−11.3335	−	6.54342i	−0.364839	−	0.210640i
$966$	4.91643	−	11.6987i	0.158184	−	0.376398i
$967$	−11.1391	−	19.2934i	−0.358209	−	0.620435i	0.629453	−	0.777038i	$-0.283279\pi$
$967$	−11.1391	−	19.2934i	−0.358209	−	0.620435i	−0.987662	+	0.156603i	$0.949946\pi$
$968$	0.898435	−	2.20101i	0.0288768	−	0.0707430i
$969$	1.22112	+	0.115284i	0.0392279	+	0.00370345i
$970$	−2.38053	+	7.59551i	−0.0764341	+	0.243877i
$971$		−	6.14000i		−	0.197042i	−0.995135	−	0.0985210i	$-0.968589\pi$
$971$		−	6.14000i		−	0.197042i	0.995135	−	0.0985210i	$-0.0314112\pi$
$972$	27.4685	−	14.7473i	0.881051	−	0.473021i
$973$		−	9.87307i		−	0.316516i
$974$	30.1846	+	9.46024i	0.967178	+	0.303126i
$975$	−6.07467	−	0.573500i	−0.194545	−	0.0183667i
$976$	−4.05901	+	23.9816i	−0.129926	+	0.767632i
$977$	−8.68506	−	15.0430i	−0.277860	−	0.481267i	0.692993	−	0.720944i	$-0.256292\pi$
$977$	−8.68506	−	15.0430i	−0.277860	−	0.481267i	−0.970853	+	0.239677i	$0.922958\pi$
$978$	8.43128	+	3.54330i	0.269603	+	0.113302i
$979$	1.53215	+	0.884587i	0.0489677	+	0.0282715i
$980$	4.95488	+	10.5312i	0.158278	+	0.336407i
$981$	4.28882	−	22.5117i	0.136932	−	0.718744i
$982$	−0.0696545	+	0.0155675i	−0.00222276	+	0.000496780i
$983$	−21.3506	+	36.9803i	−0.680978	+	1.17949i	0.293704	+	0.955896i	$0.405112\pi$
$983$	−21.3506	+	36.9803i	−0.680978	+	1.17949i	−0.974683	+	0.223593i	$0.928221\pi$
$984$	−41.6683	−	21.7819i	−1.32834	−	0.694383i
$985$	−7.61020	−	13.1813i	−0.242481	−	0.419990i
$986$	35.1780	+	38.2579i	1.12029	+	1.21838i
$987$	−6.63209	+	3.03736i	−0.211102	+	0.0966801i
$988$	−0.103306	+	1.22939i	−0.00328660	+	0.0391122i
$989$			29.2481i			0.930035i
$990$	−12.8675	−	6.89607i	−0.408957	−	0.219171i
$991$	−36.0042			−1.14371			−0.571855	−	0.820354i	$-0.693776\pi$
$991$	−36.0042			−1.14371			−0.571855	+	0.820354i	$0.693776\pi$
$992$	−14.4639	+	9.39001i	−0.459229	+	0.298133i
$993$	−31.6408	+	44.5341i	−1.00409	+	1.41325i
$994$	−15.5348	+	14.2841i	−0.492733	+	0.453065i
$995$	6.93545	−	4.00418i	0.219868	−	0.126941i
$996$	42.7920	−	15.4090i	1.35592	−	0.488254i
$997$	−49.7686	−	28.7339i	−1.57619	−	0.910013i	−0.995384	−	0.0959700i	$-0.969405\pi$
$997$	−49.7686	−	28.7339i	−1.57619	−	0.910013i	−0.580805	−	0.814043i	$-0.697262\pi$
$998$	−57.0295	+	12.7459i	−1.80524	+	0.403464i
$999$	−12.7297	−	3.69341i	−0.402748	−	0.116854i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bf.b.61.3	✓	92
3.2	odd	2		1080.2.bf.b.181.44		92
4.3	odd	2		1440.2.bv.b.241.23		92
8.3	odd	2		1440.2.bv.b.241.24		92
8.5	even	2	inner	360.2.bf.b.61.34	yes	92
9.4	even	3	inner	360.2.bf.b.301.34	yes	92
9.5	odd	6		1080.2.bf.b.901.13		92
12.11	even	2		4320.2.bv.b.721.15		92
24.5	odd	2		1080.2.bf.b.181.13		92
24.11	even	2		4320.2.bv.b.721.40		92
36.23	even	6		4320.2.bv.b.3601.40		92
36.31	odd	6		1440.2.bv.b.1201.24		92
72.5	odd	6		1080.2.bf.b.901.44		92
72.13	even	6	inner	360.2.bf.b.301.3	yes	92
72.59	even	6		4320.2.bv.b.3601.15		92
72.67	odd	6		1440.2.bv.b.1201.23		92

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bf.b.61.3	✓	92	1.1	even	1	trivial
360.2.bf.b.61.34	yes	92	8.5	even	2	inner
360.2.bf.b.301.3	yes	92	72.13	even	6	inner
360.2.bf.b.301.34	yes	92	9.4	even	3	inner
1080.2.bf.b.181.13		92	24.5	odd	2
1080.2.bf.b.181.44		92	3.2	odd	2
1080.2.bf.b.901.13		92	9.5	odd	6
1080.2.bf.b.901.44		92	72.5	odd	6
1440.2.bv.b.241.23		92	4.3	odd	2
1440.2.bv.b.241.24		92	8.3	odd	2
1440.2.bv.b.1201.23		92	72.67	odd	6
1440.2.bv.b.1201.24		92	36.31	odd	6
4320.2.bv.b.721.15		92	12.11	even	2
4320.2.bv.b.721.40		92	24.11	even	2
4320.2.bv.b.3601.15		92	72.59	even	6
4320.2.bv.b.3601.40		92	36.23	even	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:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.34949 - 0.422946i) q^{2} +(0.162796 - 1.72438i) q^{3} +(1.64223 + 1.14152i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.949013 + 2.25818i) q^{6} +(0.543298 - 0.941020i) q^{7} +(-1.73337 - 2.23505i) q^{8} +(-2.94699 - 0.561447i) q^{9} +O(q^{10})\)	\(q+(-1.34949 - 0.422946i) q^{2} +(0.162796 - 1.72438i) q^{3} +(1.64223 + 1.14152i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.949013 + 2.25818i) q^{6} +(0.543298 - 0.941020i) q^{7} +(-1.73337 - 2.23505i) q^{8} +(-2.94699 - 0.561447i) q^{9} +(-1.38016 + 0.308462i) q^{10} +(-2.98000 - 1.72050i) q^{11} +(2.23577 - 2.64600i) q^{12} +(3.05084 - 1.76140i) q^{13} +(-1.13118 + 1.04011i) q^{14} +(-0.721206 - 1.57476i) q^{15} +(1.39386 + 3.74929i) q^{16} +4.04411 q^{17} +(3.73947 + 2.00409i) q^{18} +0.175106i q^{19} +(1.99298 + 0.167470i) q^{20} +(-1.53423 - 1.09005i) q^{21} +(3.29379 + 3.58217i) q^{22} +(-2.38385 - 4.12895i) q^{23} +(-4.13626 + 2.62514i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-4.86205 + 1.08665i) q^{26} +(-1.44791 + 4.99035i) q^{27} +(1.96642 - 0.925188i) q^{28} +(-7.86987 - 4.54367i) q^{29} +(0.307220 + 2.43015i) q^{30} +(-1.52422 - 2.64003i) q^{31} +(-0.295247 - 5.64914i) q^{32} +(-3.45194 + 4.85856i) q^{33} +(-5.45748 - 1.71044i) q^{34} -1.08660i q^{35} +(-4.19875 - 4.28608i) q^{36} +2.55086i q^{37} +(0.0740603 - 0.236303i) q^{38} +(-2.54067 - 5.54757i) q^{39} +(-2.61867 - 1.06892i) q^{40} +(4.79876 + 8.31169i) q^{41} +(1.60940 + 2.11991i) q^{42} +(-5.31274 - 3.06731i) q^{43} +(-2.92986 - 6.22719i) q^{44} +(-2.83290 + 0.987270i) q^{45} +(1.47065 + 6.58021i) q^{46} +(1.93793 - 3.35659i) q^{47} +(6.69212 - 1.79317i) q^{48} +(2.90965 + 5.03967i) q^{49} +(-1.04103 + 0.957217i) q^{50} +(0.658367 - 6.97360i) q^{51} +(7.02087 + 0.589964i) q^{52} -6.43488i q^{53} +(4.06458 - 6.12202i) q^{54} -3.44100 q^{55} +(-3.04496 + 0.416841i) q^{56} +(0.301949 + 0.0285066i) q^{57} +(8.69856 + 9.46016i) q^{58} +(-7.63829 + 4.40997i) q^{59} +(0.613232 - 3.40939i) q^{60} +(5.26601 + 3.04033i) q^{61} +(0.940327 + 4.20735i) q^{62} +(-2.12943 + 2.46815i) q^{63} +(-1.99085 + 7.74832i) q^{64} +(1.76140 - 3.05084i) q^{65} +(6.71326 - 5.09659i) q^{66} +(9.24366 - 5.33683i) q^{67} +(6.64137 + 4.61644i) q^{68} +(-7.50798 + 3.43850i) q^{69} +(-0.459572 + 1.46635i) q^{70} +13.7333 q^{71} +(3.85337 + 7.55986i) q^{72} -5.34920 q^{73} +(1.07888 - 3.44235i) q^{74} +(-1.41196 - 1.00318i) q^{75} +(-0.199887 + 0.287564i) q^{76} +(-3.23805 + 1.86949i) q^{77} +(1.08228 + 8.56094i) q^{78} +(5.38579 - 9.32846i) q^{79} +(3.08176 + 2.55005i) q^{80} +(8.36955 + 3.30916i) q^{81} +(-2.96047 - 13.2461i) q^{82} +(11.3705 + 6.56474i) q^{83} +(-1.27525 - 3.54147i) q^{84} +(3.50230 - 2.02206i) q^{85} +(5.87217 + 6.38630i) q^{86} +(-9.11622 + 12.8310i) q^{87} +(1.32004 + 9.64269i) q^{88} -0.514145 q^{89} +(4.24052 - 0.134146i) q^{90} -3.82787i q^{91} +(0.798448 - 9.50192i) q^{92} +(-4.80056 + 2.19855i) q^{93} +(-4.03487 + 3.71004i) q^{94} +(0.0875528 + 0.151646i) q^{95} +(-9.78935 - 0.410542i) q^{96} +(2.81422 - 4.87437i) q^{97} +(-1.79503 - 8.03160i) q^{98} +(7.81606 + 6.74342i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9}+O(q^{10}) \) 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9	\( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9} + 4 q^{10} + 22 q^{12} - 18 q^{14} - 8 q^{16} + 12 q^{17} - 16 q^{18} - 4 q^{20} - 10 q^{22} + 28 q^{23} + 24 q^{24} + 46 q^{25} - 64 q^{26} - 10 q^{30} + 8 q^{31} - 28 q^{32} - 14 q^{33} - 38 q^{36} - 6 q^{38} - 24 q^{39} + 2 q^{40} - 18 q^{41} + 22 q^{42} - 36 q^{44} + 4 q^{46} - 36 q^{47} - 76 q^{48} - 30 q^{49} - 2 q^{50} + 6 q^{52} + 42 q^{54} + 20 q^{55} - 38 q^{56} - 34 q^{57} + 18 q^{58} - 14 q^{60} + 60 q^{62} - 32 q^{63} - 48 q^{64} + 12 q^{65} + 36 q^{66} + 16 q^{68} + 8 q^{70} - 8 q^{71} + 92 q^{72} - 4 q^{73} + 52 q^{74} + 22 q^{76} + 58 q^{78} + 20 q^{79} - 16 q^{80} + 18 q^{81} - 16 q^{82} + 38 q^{84} - 60 q^{86} - 48 q^{87} - 20 q^{88} - 24 q^{89} - 24 q^{90} + 36 q^{92} - 14 q^{94} - 18 q^{95} - 38 q^{96} - 14 q^{97} - 60 q^{98}+O(q^{100}) \) 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9 + 4 * q^10 + 22 * q^12 - 18 * q^14 - 8 * q^16 + 12 * q^17 - 16 * q^18 - 4 * q^20 - 10 * q^22 + 28 * q^23 + 24 * q^24 + 46 * q^25 - 64 * q^26 - 10 * q^30 + 8 * q^31 - 28 * q^32 - 14 * q^33 - 38 * q^36 - 6 * q^38 - 24 * q^39 + 2 * q^40 - 18 * q^41 + 22 * q^42 - 36 * q^44 + 4 * q^46 - 36 * q^47 - 76 * q^48 - 30 * q^49 - 2 * q^50 + 6 * q^52 + 42 * q^54 + 20 * q^55 - 38 * q^56 - 34 * q^57 + 18 * q^58 - 14 * q^60 + 60 * q^62 - 32 * q^63 - 48 * q^64 + 12 * q^65 + 36 * q^66 + 16 * q^68 + 8 * q^70 - 8 * q^71 + 92 * q^72 - 4 * q^73 + 52 * q^74 + 22 * q^76 + 58 * q^78 + 20 * q^79 - 16 * q^80 + 18 * q^81 - 16 * q^82 + 38 * q^84 - 60 * q^86 - 48 * q^87 - 20 * q^88 - 24 * q^89 - 24 * q^90 + 36 * q^92 - 14 * q^94 - 18 * q^95 - 38 * q^96 - 14 * q^97 - 60 * q^98

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