LMFDB - Embedded newform 252.2.n.b.31.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			31.10
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.13008 - 0.850244i) q^{2} +(-1.49040 - 0.882451i) q^{3} +(0.554170 + 1.92169i) q^{4} -4.05112i q^{5} +(0.933971 + 2.26444i) q^{6} +(2.21649 - 1.44470i) q^{7} +(1.00765 - 2.64285i) q^{8} +(1.44256 + 2.63040i) q^{9} +O(q^{10})$	\(q+(-1.13008 - 0.850244i) q^{2} +(-1.49040 - 0.882451i) q^{3} +(0.554170 + 1.92169i) q^{4} -4.05112i q^{5} +(0.933971 + 2.26444i) q^{6} +(2.21649 - 1.44470i) q^{7} +(1.00765 - 2.64285i) q^{8} +(1.44256 + 2.63040i) q^{9} +(-3.44444 + 4.57810i) q^{10} +0.543883i q^{11} +(0.869865 - 3.35311i) q^{12} +(-1.01063 - 0.583488i) q^{13} +(-3.73317 - 0.251932i) q^{14} +(-3.57492 + 6.03778i) q^{15} +(-3.38579 + 2.12989i) q^{16} +(-5.05773 - 2.92008i) q^{17} +(0.606273 - 4.19910i) q^{18} +(-1.16501 - 2.01785i) q^{19} +(7.78500 - 2.24501i) q^{20} +(-4.57833 + 0.197227i) q^{21} +(0.462434 - 0.614633i) q^{22} +1.61483i q^{23} +(-3.83398 + 3.04969i) q^{24} -11.4116 q^{25} +(0.645988 + 1.51867i) q^{26} +(0.171215 - 5.19333i) q^{27} +(4.00458 + 3.45881i) q^{28} +(2.40001 + 4.15694i) q^{29} +(9.17353 - 3.78363i) q^{30} +(2.24515 + 3.88871i) q^{31} +(5.63715 + 0.471800i) q^{32} +(0.479950 - 0.810602i) q^{33} +(3.23287 + 7.60024i) q^{34} +(-5.85265 - 8.97929i) q^{35} +(-4.25540 + 4.22985i) q^{36} +(-1.48498 - 2.57206i) q^{37} +(-0.399112 + 3.27088i) q^{38} +(0.991340 + 1.76146i) q^{39} +(-10.7065 - 4.08210i) q^{40} +(3.89836 + 2.25072i) q^{41} +(5.34158 + 3.66981i) q^{42} +(2.89521 - 1.67155i) q^{43} +(-1.04518 + 0.301404i) q^{44} +(10.6561 - 5.84399i) q^{45} +(1.37300 - 1.82490i) q^{46} +(-4.29074 + 7.43179i) q^{47} +(6.92569 - 0.186582i) q^{48} +(2.82569 - 6.40433i) q^{49} +(12.8960 + 9.70263i) q^{50} +(4.96120 + 8.81528i) q^{51} +(0.561221 - 2.26547i) q^{52} +(5.84343 - 10.1211i) q^{53} +(-4.60909 + 5.72331i) q^{54} +2.20334 q^{55} +(-1.58467 - 7.31360i) q^{56} +(-0.0443331 + 4.03546i) q^{57} +(0.822204 - 6.73827i) q^{58} +(-6.43904 - 11.1527i) q^{59} +(-13.5838 - 3.52393i) q^{60} +(1.80408 + 1.04158i) q^{61} +(0.769151 - 6.30348i) q^{62} +(6.99757 + 3.74621i) q^{63} +(-5.96929 - 5.32612i) q^{64} +(-2.36378 + 4.09419i) q^{65} +(-1.23159 + 0.507971i) q^{66} +(6.14549 - 3.54810i) q^{67} +(2.80865 - 11.3376i) q^{68} +(1.42501 - 2.40674i) q^{69} +(-1.02061 + 15.1235i) q^{70} -5.17264i q^{71} +(8.40535 - 1.16195i) q^{72} +(5.58686 + 3.22558i) q^{73} +(-0.508730 + 4.16923i) q^{74} +(17.0078 + 10.0702i) q^{75} +(3.23207 - 3.35702i) q^{76} +(0.785748 + 1.20551i) q^{77} +(0.377375 - 2.83347i) q^{78} +(-3.48731 - 2.01340i) q^{79} +(8.62844 + 13.7162i) q^{80} +(-4.83804 + 7.58903i) q^{81} +(-2.49181 - 5.85806i) q^{82} +(2.76985 + 4.79753i) q^{83} +(-2.91618 - 8.68884i) q^{84} +(-11.8296 + 20.4895i) q^{85} +(-4.69305 - 0.572646i) q^{86} +(0.0913299 - 8.31337i) q^{87} +(1.43740 + 0.548043i) q^{88} +(-7.63381 + 4.40738i) q^{89} +(-17.0111 - 2.45608i) q^{90} +(-3.08302 + 0.166760i) q^{91} +(-3.10321 + 0.894893i) q^{92} +(0.0854368 - 7.77695i) q^{93} +(11.1677 - 4.75035i) q^{94} +(-8.17456 + 4.71958i) q^{95} +(-7.98524 - 5.67767i) q^{96} +(13.8033 - 7.96935i) q^{97} +(-8.63851 + 4.83490i) q^{98} +(-1.43063 + 0.784585i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−1.13008	−	0.850244i	−0.799089	−	0.601213i
$2$	−1.13008	−	0.850244i	−0.799089	−	0.601213i
$3$	−1.49040	−	0.882451i	−0.860481	−	0.509483i
$3$	−1.49040	−	0.882451i	−0.860481	−	0.509483i
$4$	0.554170	+	1.92169i	0.277085	+	0.960845i
$5$		−	4.05112i		−	1.81172i	−0.423581	−	0.905858i	$-0.639227\pi$
$5$		−	4.05112i		−	1.81172i	0.423581	−	0.905858i	$-0.360773\pi$
$6$	0.933971	+	2.26444i	0.381292	+	0.924455i
$7$	2.21649	−	1.44470i	0.837756	−	0.546045i
$7$	2.21649	−	1.44470i	0.837756	−	0.546045i
$8$	1.00765	−	2.64285i	0.356257	−	0.934388i
$9$	1.44256	+	2.63040i	0.480853	+	0.876801i
$10$	−3.44444	+	4.57810i	−1.08923	+	1.44772i
$11$			0.543883i			0.163987i	0.996633	+	0.0819935i	$0.0261287\pi$
$11$			0.543883i			0.163987i	−0.996633	+	0.0819935i	$0.973871\pi$
$12$	0.869865	−	3.35311i	0.251108	−	0.967959i
$13$	−1.01063	−	0.583488i	−0.280298	−	0.161830i	0.353260	−	0.935525i	$-0.385073\pi$
$13$	−1.01063	−	0.583488i	−0.280298	−	0.161830i	−0.633558	+	0.773695i	$0.718406\pi$
$14$	−3.73317	−	0.251932i	−0.997731	−	0.0673316i
$15$	−3.57492	+	6.03778i	−0.923039	+	1.55895i
$16$	−3.38579	+	2.12989i	−0.846448	+	0.532472i
$17$	−5.05773	−	2.92008i	−1.22668	−	0.708224i	−0.260347	−	0.965515i	$-0.583837\pi$
$17$	−5.05773	−	2.92008i	−1.22668	−	0.708224i	−0.966334	+	0.257291i	$0.917170\pi$
$18$	0.606273	−	4.19910i	0.142900	−	0.989737i
$19$	−1.16501	−	2.01785i	−0.267271	−	0.462927i	0.700885	−	0.713274i	$-0.252788\pi$
$19$	−1.16501	−	2.01785i	−0.267271	−	0.462927i	−0.968156	+	0.250347i	$0.919455\pi$
$20$	7.78500	−	2.24501i	1.74078	−	0.502000i
$21$	−4.57833	+	0.197227i	−0.999073	+	0.0430384i
$22$	0.462434	−	0.614633i	0.0985912	−	0.131040i
$23$			1.61483i			0.336716i	0.985726	+	0.168358i	$0.0538465\pi$
$23$			1.61483i			0.336716i	−0.985726	+	0.168358i	$0.946153\pi$
$24$	−3.83398	+	3.04969i	−0.782608	+	0.622515i
$25$	−11.4116			−2.28232
$26$	0.645988	+	1.51867i	0.126689	+	0.297836i
$27$	0.171215	−	5.19333i	0.0329504	−	0.999457i
$28$	4.00458	+	3.45881i	0.756795	+	0.653653i
$29$	2.40001	+	4.15694i	0.445670	+	0.771924i	0.998099	−	0.0616368i	$-0.0196320\pi$
$29$	2.40001	+	4.15694i	0.445670	+	0.771924i	−0.552428	+	0.833560i	$0.686299\pi$
$30$	9.17353	−	3.78363i	1.67485	−	0.690793i
$31$	2.24515	+	3.88871i	0.403240	+	0.698433i	0.994115	−	0.108331i	$-0.0345505\pi$
$31$	2.24515	+	3.88871i	0.403240	+	0.698433i	−0.590875	+	0.806763i	$0.701217\pi$
$32$	5.63715	+	0.471800i	0.996516	+	0.0834033i
$33$	0.479950	−	0.810602i	0.0835486	−	0.141108i
$34$	3.23287	+	7.60024i	0.554433	+	1.30343i
$35$	−5.85265	−	8.97929i	−0.989279	−	1.51778i
$36$	−4.25540	+	4.22985i	−0.709233	+	0.704974i
$37$	−1.48498	−	2.57206i	−0.244129	−	0.422844i	0.717757	−	0.696293i	$-0.245169\pi$
$37$	−1.48498	−	2.57206i	−0.244129	−	0.422844i	−0.961886	+	0.273450i	$0.911835\pi$
$38$	−0.399112	+	3.27088i	−0.0647446	+	0.530606i
$39$	0.991340	+	1.76146i	0.158741	+	0.282059i
$40$	−10.7065	−	4.08210i	−1.69285	−	0.645437i
$41$	3.89836	+	2.25072i	0.608822	+	0.351504i	0.772504	−	0.635010i	$-0.219004\pi$
$41$	3.89836	+	2.25072i	0.608822	+	0.351504i	−0.163682	+	0.986513i	$0.552337\pi$
$42$	5.34158	+	3.66981i	0.824223	+	0.566265i
$43$	2.89521	−	1.67155i	0.441515	−	0.254909i	−0.262725	−	0.964871i	$-0.584621\pi$
$43$	2.89521	−	1.67155i	0.441515	−	0.254909i	0.704240	+	0.709962i	$0.251288\pi$
$44$	−1.04518	+	0.301404i	−0.157566	+	0.0454384i
$45$	10.6561	−	5.84399i	1.58851	−	0.871170i
$46$	1.37300	−	1.82490i	0.202438	−	0.269066i
$47$	−4.29074	+	7.43179i	−0.625869	+	1.08404i	0.362503	+	0.931983i	$0.381922\pi$
$47$	−4.29074	+	7.43179i	−0.625869	+	1.08404i	−0.988372	+	0.152055i	$0.951411\pi$
$48$	6.92569	−	0.186582i	0.999637	−	0.0269308i
$49$	2.82569	−	6.40433i	0.403670	−	0.914905i
$50$	12.8960	+	9.70263i	1.82377	+	1.37216i
$51$	4.96120	+	8.81528i	0.694706	+	1.23439i
$52$	0.561221	−	2.26547i	0.0778274	−	0.314164i
$53$	5.84343	−	10.1211i	0.802658	−	1.39024i	−0.115204	−	0.993342i	$-0.536752\pi$
$53$	5.84343	−	10.1211i	0.802658	−	1.39024i	0.917861	−	0.396902i	$-0.129915\pi$
$54$	−4.60909	+	5.72331i	−0.627217	+	0.778844i
$55$	2.20334			0.297098
$56$	−1.58467	−	7.31360i	−0.211761	−	0.977321i
$57$	−0.0443331	+	4.03546i	−0.00587207	+	0.534509i
$58$	0.822204	−	6.73827i	0.107961	−	0.884778i
$59$	−6.43904	−	11.1527i	−0.838292	−	1.45196i	−0.891322	−	0.453371i	$-0.850221\pi$
$59$	−6.43904	−	11.1527i	−0.838292	−	1.45196i	0.0530303	−	0.998593i	$-0.483112\pi$
$60$	−13.5838	−	3.52393i	−1.75367	−	0.454937i
$61$	1.80408	+	1.04158i	0.230988	+	0.133361i	0.611028	−	0.791609i	$-0.290756\pi$
$61$	1.80408	+	1.04158i	0.230988	+	0.133361i	−0.380040	+	0.924970i	$0.624090\pi$
$62$	0.769151	−	6.30348i	0.0976823	−	0.800543i
$63$	6.99757	+	3.74621i	0.881611	+	0.471978i
$64$	−5.96929	−	5.32612i	−0.746161	−	0.665765i
$65$	−2.36378	+	4.09419i	−0.293191	+	0.507821i
$66$	−1.23159	+	0.507971i	−0.151599	+	0.0625269i
$67$	6.14549	−	3.54810i	0.750791	−	0.433470i	−0.0751884	−	0.997169i	$-0.523956\pi$
$67$	6.14549	−	3.54810i	0.750791	−	0.433470i	0.825980	+	0.563700i	$0.190622\pi$
$68$	2.80865	−	11.3376i	0.340599	−	1.37489i
$69$	1.42501	−	2.40674i	0.171551	−	0.289738i
$70$	−1.02061	+	15.1235i	−0.121986	+	1.80761i
$71$		−	5.17264i		−	0.613879i	−0.951729	−	0.306940i	$-0.900695\pi$
$71$		−	5.17264i		−	0.613879i	0.951729	−	0.306940i	$-0.0993049\pi$
$72$	8.40535	−	1.16195i	0.990580	−	0.136937i
$73$	5.58686	+	3.22558i	0.653893	+	0.377525i	0.789946	−	0.613176i	$-0.210108\pi$
$73$	5.58686	+	3.22558i	0.653893	+	0.377525i	−0.136053	+	0.990702i	$0.543442\pi$
$74$	−0.508730	+	4.16923i	−0.0591386	+	0.484663i
$75$	17.0078	+	10.0702i	1.96389	+	1.16280i
$76$	3.23207	−	3.35702i	0.370744	−	0.385076i
$77$	0.785748	+	1.20551i	0.0895443	+	0.137381i
$78$	0.377375	−	2.83347i	0.0427293	−	0.320828i
$79$	−3.48731	−	2.01340i	−0.392353	−	0.226525i	0.290826	−	0.956776i	$-0.406070\pi$
$79$	−3.48731	−	2.01340i	−0.392353	−	0.226525i	−0.683179	+	0.730251i	$0.739403\pi$
$80$	8.62844	+	13.7162i	0.964688	+	1.53352i
$81$	−4.83804	+	7.58903i	−0.537560	+	0.843226i
$82$	−2.49181	−	5.85806i	−0.275174	−	0.646914i
$83$	2.76985	+	4.79753i	0.304031	+	0.526597i	0.977045	−	0.213033i	$-0.0683340\pi$
$83$	2.76985	+	4.79753i	0.304031	+	0.526597i	−0.673014	+	0.739630i	$0.735001\pi$
$84$	−2.91618	−	8.68884i	−0.318182	−	0.948030i
$85$	−11.8296	+	20.4895i	−1.28310	+	2.22240i
$86$	−4.69305	−	0.572646i	−0.506064	−	0.0617500i
$87$	0.0913299	−	8.31337i	0.00979159	−	0.891287i
$88$	1.43740	+	0.548043i	0.153227	+	0.0584216i
$89$	−7.63381	+	4.40738i	−0.809183	+	0.467182i	−0.846672	−	0.532115i	$-0.821397\pi$
$89$	−7.63381	+	4.40738i	−0.809183	+	0.467182i	0.0374893	+	0.999297i	$0.488064\pi$
$90$	−17.0111	−	2.45608i	−1.79312	−	0.258894i
$91$	−3.08302	+	0.166760i	−0.323188	+	0.0174812i
$92$	−3.10321	+	0.894893i	−0.323532	+	0.0932991i
$93$	0.0854368	−	7.77695i	0.00885938	−	0.806432i
$94$	11.1677	−	4.75035i	1.15186	−	0.489961i
$95$	−8.17456	+	4.71958i	−0.838692	+	0.484219i
$96$	−7.98524	−	5.67767i	−0.814990	−	0.579475i
$97$	13.8033	−	7.96935i	1.40151	−	0.809165i	0.406966	−	0.913443i	$-0.366587\pi$
$97$	13.8033	−	7.96935i	1.40151	−	0.809165i	0.994548	+	0.104278i	$0.0332533\pi$
$98$	−8.63851	+	4.83490i	−0.872621	+	0.488398i
$99$	−1.43063	+	0.784585i	−0.143784	+	0.0788537i
$100$	−6.32396	−	21.9295i	−0.632396	−	2.19295i
$101$		−	7.40581i		−	0.736905i	−0.929646	−	0.368453i	$-0.879888\pi$
$101$		−	7.40581i		−	0.736905i	0.929646	−	0.368453i	$-0.120112\pi$
$102$	1.88859	−	14.1802i	0.186998	−	1.40405i
$103$	6.46062			0.636584			0.318292	−	0.947993i	$-0.396891\pi$
$103$	6.46062			0.636584			0.318292	+	0.947993i	$0.396891\pi$
$104$	−2.56043	+	2.08299i	−0.251071	+	0.204254i
$105$	0.798990	+	18.5474i	0.0779734	+	1.81004i
$106$	−15.2090	+	6.46936i	−1.47723	+	0.628359i
$107$	−9.62572	+	5.55741i	−0.930553	+	0.537255i	−0.886987	−	0.461795i	$-0.847205\pi$
$107$	−9.62572	+	5.55741i	−0.930553	+	0.537255i	−0.0435667	+	0.999051i	$0.513872\pi$
$108$	10.0749	−	2.54897i	0.969454	−	0.245274i
$109$	−1.67348	+	2.89856i	−0.160291	+	0.277632i	−0.934973	−	0.354719i	$-0.884576\pi$
$109$	−1.67348	+	2.89856i	−0.160291	+	0.277632i	0.774682	+	0.632351i	$0.217910\pi$
$110$	−2.48995	−	1.87337i	−0.237408	−	0.178619i
$111$	−0.0565093	+	5.14381i	−0.00536363	+	0.488228i
$112$	−4.42754	+	9.61233i	−0.418363	+	0.908280i
$113$	−1.36060	+	2.35662i	−0.127994	+	0.221692i	−0.922899	−	0.385041i	$-0.874187\pi$
$113$	−1.36060	+	2.35662i	−0.127994	+	0.221692i	0.794905	+	0.606734i	$0.207521\pi$
$114$	3.48122	−	4.52270i	0.326046	−	0.423590i
$115$	6.54189			0.610035
$116$	−6.65833	+	6.91572i	−0.618211	+	0.642109i
$117$	0.0769123	−	3.50008i	0.00711055	−	0.323583i
$118$	−2.20591	+	18.0783i	−0.203071	+	1.66424i
$119$	−15.4291	+	0.834556i	−1.41438	+	0.0765037i
$120$	12.3547	+	15.5319i	1.12782	+	1.41786i
$121$	10.7042			0.973108
$122$	−1.15315	−	2.71098i	−0.104402	−	0.245441i
$123$	−3.82395	−	6.79458i	−0.344794	−	0.612647i
$124$	−6.22870	+	6.46949i	−0.559354	+	0.580977i
$125$			25.9741i			2.32320i
$126$	−4.72264	−	10.1832i	−0.420726	−	0.907188i
$127$		−	14.2111i		−	1.26103i	−0.776178	−	0.630513i	$-0.782844\pi$
$127$		−	14.2111i		−	1.26103i	0.776178	−	0.630513i	$-0.217156\pi$
$128$	2.21728	+	11.0943i	0.195982	+	0.980607i
$129$	−5.79007	−	0.0636091i	−0.509787	−	0.00560047i
$130$	6.15232	−	2.61698i	0.539594	−	0.229524i
$131$	15.9099			1.39006			0.695029	−	0.718982i	$-0.255392\pi$
$131$	15.9099			1.39006			0.695029	+	0.718982i	$0.255392\pi$
$132$	1.82370	+	0.473105i	0.158733	+	0.0411785i
$133$	−5.49742	−	2.78947i	−0.476686	−	0.241878i
$134$	−9.96166	−	1.21552i	−0.860556	−	0.105005i
$135$	−21.0388	−	0.693614i	−1.81073	−	0.0596968i
$136$	−12.8138	+	10.4244i	−1.09877	+	0.893885i
$137$	12.5593			1.07301			0.536507	−	0.843896i	$-0.319743\pi$
$137$	12.5593			1.07301			0.536507	+	0.843896i	$0.319743\pi$
$138$	−3.65670	+	1.50821i	−0.311279	+	0.128387i
$139$	7.10577	−	12.3076i	0.602704	−	1.04391i	−0.389706	−	0.920939i	$-0.627423\pi$
$139$	7.10577	−	12.3076i	0.602704	−	1.04391i	0.992410	−	0.122974i	$-0.0392432\pi$
$140$	14.0120	−	16.2230i	1.18423	−	1.37110i
$141$	12.9531	−	7.28993i	1.09085	−	0.613923i
$142$	−4.39800	+	5.84550i	−0.369072	+	0.490544i
$143$	0.317349	−	0.549665i	0.0265381	−	0.0459653i
$144$	−10.4867	−	5.83350i	−0.873889	−	0.486125i
$145$	16.8403	−	9.72272i	1.39851	−	0.807428i
$146$	−3.57109	−	8.39536i	−0.295545	−	0.694805i
$147$	−9.86291	+	7.05146i	−0.813479	+	0.581595i
$148$	4.11977	−	4.27903i	0.338643	−	0.351734i
$149$	−4.23296			−0.346778			−0.173389	−	0.984853i	$-0.555472\pi$
$149$	−4.23296			−0.346778			−0.173389	+	0.984853i	$0.555472\pi$
$150$	−10.6581	−	25.8409i	−0.870229	−	2.10990i
$151$		−	8.70659i		−	0.708532i	−0.935145	−	0.354266i	$-0.884731\pi$
$151$		−	8.70659i		−	0.708532i	0.935145	−	0.354266i	$-0.115269\pi$
$152$	−6.50679	+	1.04565i	−0.527770	+	0.0848136i
$153$	0.384911	−	17.5163i	0.0311182	−	1.41611i
$154$	0.137022	−	2.03041i	0.0110415	−	0.163615i
$155$	15.7536	−	9.09537i	1.26536	−	0.730557i
$156$	−2.83561	+	2.88120i	−0.227030	+	0.230680i
$157$	−6.61453	+	3.81890i	−0.527897	+	0.304782i	−0.740160	−	0.672431i	$-0.765250\pi$
$157$	−6.61453	+	3.81890i	−0.527897	+	0.304782i	0.212262	+	0.977213i	$0.431917\pi$
$158$	2.22906	+	5.24037i	0.177335	+	0.416901i
$159$	−17.6404	+	9.92794i	−1.39898	+	0.787337i
$160$	1.91132	−	22.8368i	0.151103	−	1.80540i
$161$	2.33295	+	3.57927i	0.183862	+	0.282086i
$162$	11.9199	−	4.46271i	0.936516	−	0.350624i
$163$	−13.1093	+	7.56865i	−1.02680	+	0.592822i	−0.916066	−	0.401028i	$-0.868653\pi$
$163$	−13.1093	+	7.56865i	−1.02680	+	0.592822i	−0.110732	+	0.993850i	$0.535320\pi$
$164$	−2.16483	+	8.73873i	−0.169045	+	0.682380i
$165$	−3.28385	−	1.94434i	−0.255647	−	0.151366i
$166$	0.948907	−	7.77665i	0.0736495	−	0.603585i
$167$	1.88524	−	3.26533i	0.145884	−	0.252679i	−0.783818	−	0.620990i	$-0.786731\pi$
$167$	1.88524	−	3.26533i	0.145884	−	0.252679i	0.929702	+	0.368311i	$0.120064\pi$
$168$	−4.09210	+	12.2986i	−0.315713	+	0.948855i
$169$	−5.81908	−	10.0790i	−0.447622	−	0.775304i
$170$	30.7895	−	13.0967i	2.36145	−	1.00447i
$171$	3.62717	−	5.97531i	0.277376	−	0.456943i
$172$	4.81664	+	4.63737i	0.367265	+	0.353596i
$173$	−5.42558	−	3.13246i	−0.412499	−	0.238157i	0.279364	−	0.960185i	$-0.409877\pi$
$173$	−5.42558	−	3.13246i	−0.412499	−	0.238157i	−0.691863	+	0.722029i	$0.743210\pi$
$174$	−7.17160	+	9.31714i	−0.543678	+	0.706330i
$175$	−25.2937	+	16.4863i	−1.91202	+	1.24625i
$176$	−1.15841	−	1.84147i	−0.0873185	−	0.138806i
$177$	−0.245031	+	22.3041i	−0.0184177	+	1.67648i
$178$	12.3742	+	1.50990i	0.927485	+	0.113172i
$179$	8.63863	+	4.98752i	0.645682	+	0.372785i	0.786800	−	0.617208i	$-0.211736\pi$
$179$	8.63863	+	4.98752i	0.645682	+	0.372785i	−0.141118	+	0.989993i	$0.545070\pi$
$180$	17.1356	+	17.2391i	1.27721	+	1.28493i
$181$			5.34622i			0.397382i	0.980062	+	0.198691i	$0.0636690\pi$
$181$			5.34622i			0.397382i	−0.980062	+	0.198691i	$0.936331\pi$
$182$	3.62585	+	2.43287i	0.268766	+	0.180336i
$183$	−1.76964	−	3.14438i	−0.130816	−	0.232440i
$184$	4.26776	+	1.62719i	0.314624	+	0.119958i
$185$	−10.4197	+	6.01583i	−0.766073	+	0.442292i
$186$	−6.70886	+	8.71595i	−0.491917	+	0.639084i
$187$	1.58819	−	2.75082i	0.116140	−	0.201160i
$188$	−16.6594	−	4.12701i	−1.21501	−	0.300993i
$189$	−7.12330	−	11.7583i	−0.518144	−	0.855293i
$190$	13.2507	+	1.61685i	0.961308	+	0.117299i
$191$	19.0615	+	11.0052i	1.37924	+	0.796307i	0.992068	−	0.125700i	$-0.0401175\pi$
$191$	19.0615	+	11.0052i	1.37924	+	0.796307i	0.387175	+	0.922006i	$0.373451\pi$
$192$	4.19657	+	13.2056i	0.302861	+	0.953035i
$193$	2.91719	+	5.05272i	0.209984	+	0.363703i	0.951709	−	0.307001i	$-0.0993255\pi$
$193$	2.91719	+	5.05272i	0.209984	+	0.363703i	−0.741725	+	0.670704i	$0.765992\pi$
$194$	−22.3748	−	2.73017i	−1.60641	−	0.196015i
$195$	7.13588	−	4.01604i	0.511011	−	0.287594i
$196$	13.8731	+	1.88101i	0.990933	+	0.134358i
$197$	14.2652			1.01636			0.508178	−	0.861252i	$-0.330319\pi$
$197$	14.2652			1.01636			0.508178	+	0.861252i	$0.330319\pi$
$198$	2.28382	+	0.329742i	0.162304	+	0.0234337i
$199$	2.14848	−	3.72128i	0.152302	−	0.263794i	−0.779771	−	0.626064i	$-0.784665\pi$
$199$	2.14848	−	3.72128i	0.152302	−	0.263794i	0.932073	+	0.362270i	$0.117998\pi$
$200$	−11.4989	+	30.1591i	−0.813092	+	2.13257i
$201$	−12.2902	−	0.135019i	−0.866887	−	0.00952353i
$202$	−6.29674	+	8.36917i	−0.443037	+	0.588853i
$203$	11.3251	+	5.74653i	0.794868	+	0.403328i
$204$	−14.1909	+	14.4191i	−0.993562	+	1.00954i
$205$	9.11794	−	15.7927i	0.636825	−	1.10301i
$206$	−7.30104	−	5.49311i	−0.508687	−	0.382723i
$207$	−4.24767	+	2.32950i	−0.295233	+	0.161911i
$208$	4.66454	−	0.176962i	0.323428	−	0.0122701i
$209$	1.09748	−	0.633628i	0.0759139	−	0.0438289i
$210$	14.8669	−	21.6394i	1.02591	−	1.49326i
$211$	0.0869189	+	0.0501826i	0.00598374	+	0.00345472i	0.502989	−	0.864293i	$-0.332234\pi$
$211$	0.0869189	+	0.0501826i	0.00598374	+	0.00345472i	−0.497005	+	0.867748i	$0.665567\pi$
$212$	22.6879	+	5.62045i	1.55821	+	0.386014i
$213$	−4.56460	+	7.70928i	−0.312761	+	0.528231i
$214$	15.6030	+	1.90388i	1.06660	+	0.130146i
$215$	−6.77165	−	11.7288i	−0.461823	−	0.799901i
$216$	−13.5527	−	5.68555i	−0.922142	−	0.386852i
$217$	10.5944	+	5.37574i	0.719193	+	0.364929i
$218$	4.35566	−	1.85274i	0.295002	−	0.125483i
$219$	−5.48022	−	9.73752i	−0.370319	−	0.658001i
$220$	1.22102	+	4.23413i	0.0823214	+	0.285465i
$221$	3.40767	+	5.90225i	0.229224	+	0.397028i
$222$	4.43735	−	5.76487i	0.297815	−	0.386913i
$223$	6.41092	+	11.1040i	0.429307	+	0.743582i	0.996812	−	0.0797885i	$-0.0254245\pi$
$223$	6.41092	+	11.1040i	0.429307	+	0.743582i	−0.567505	+	0.823370i	$0.692091\pi$
$224$	13.1763	−	7.09824i	0.880379	−	0.474271i
$225$	−16.4619	−	30.0171i	−1.09746	−	2.00114i
$226$	3.54129	−	1.50634i	0.235563	−	0.100200i
$227$	−18.7851			−1.24681			−0.623406	−	0.781898i	$-0.714252\pi$
$227$	−18.7851			−1.24681			−0.623406	+	0.781898i	$0.714252\pi$
$228$	−7.77947	+	2.15114i	−0.515208	+	0.142462i
$229$			18.0895i			1.19539i	0.801725	+	0.597693i	$0.203916\pi$
$229$			18.0895i			1.19539i	−0.801725	+	0.597693i	$0.796084\pi$
$230$	−7.39287	−	5.56220i	−0.487472	−	0.366761i
$231$	−0.107268	−	2.49008i	−0.00705774	−	0.163835i
$232$	13.4045	−	2.15413i	0.880049	−	0.141425i
$233$	−5.88363	−	10.1908i	−0.385450	−	0.667618i	0.606382	−	0.795174i	$-0.292620\pi$
$233$	−5.88363	−	10.1908i	−0.385450	−	0.667618i	−0.991831	+	0.127555i	$0.959287\pi$
$234$	−3.06284	+	3.88998i	−0.200224	+	0.254296i
$235$	30.1071	+	17.3823i	1.96397	+	1.13390i
$236$	17.8638	−	18.5544i	1.16283	−	1.20779i
$237$	3.42074	+	6.07814i	0.222201	+	0.394817i
$238$	18.1457	+	12.1754i	1.17621	+	0.789212i
$239$	−1.69786	−	0.980260i	−0.109825	−	0.0634077i	0.444081	−	0.895987i	$-0.353530\pi$
$239$	−1.69786	−	0.980260i	−0.109825	−	0.0634077i	−0.553907	+	0.832579i	$0.686864\pi$
$240$	−0.755868	−	28.0568i	−0.0487910	−	1.81106i
$241$		−	6.85575i		−	0.441618i	−0.975317	−	0.220809i	$-0.929130\pi$
$241$		−	6.85575i		−	0.441618i	0.975317	−	0.220809i	$-0.0708697\pi$
$242$	−12.0966	−	9.10117i	−0.777600	−	0.585046i
$243$	13.9075	−	7.04133i	0.892169	−	0.451701i
$244$	−1.00184	+	4.04409i	−0.0641361	+	0.258897i
$245$	−25.9447	−	11.4472i	−1.65755	−	0.731335i
$246$	−1.45567	+	10.9297i	−0.0928101	+	0.696854i
$247$			2.71907i			0.173010i
$248$	12.5396	−	2.01513i	0.796265	−	0.127961i
$249$	0.105404	−	9.59448i	0.00667971	−	0.608025i
$250$	22.0843	−	29.3529i	1.39674	−	1.85644i
$251$	17.0335			1.07515			0.537574	−	0.843217i	$-0.319341\pi$
$251$	17.0335			1.07515			0.537574	+	0.843217i	$0.319341\pi$
$252$	−3.32120	+	15.5232i	−0.209216	+	0.977869i
$253$	−0.878282			−0.0552171
$254$	−12.0829	+	16.0597i	−0.758146	+	1.00767i
$255$	35.7118	−	20.0984i	2.23636	−	1.25861i
$256$	6.92715	−	14.4227i	0.432947	−	0.901419i
$257$		−	20.7823i		−	1.29636i	−0.761486	−	0.648182i	$-0.775530\pi$
$257$		−	20.7823i		−	1.29636i	0.761486	−	0.648182i	$-0.224470\pi$
$258$	6.48917	+	4.99485i	0.403998	+	0.310966i
$259$	−7.00730	−	3.55560i	−0.435412	−	0.220934i
$260$	−9.17769	−	2.27358i	−0.569176	−	0.141001i
$261$	−7.47226	+	12.3096i	−0.462521	+	0.761946i
$262$	−17.9795	−	13.5273i	−1.11078	−	0.835721i
$263$			9.81930i			0.605484i	0.953073	+	0.302742i	$0.0979021\pi$
$263$			9.81930i			0.605484i	−0.953073	+	0.302742i	$0.902098\pi$
$264$	−1.65868	−	2.08524i	−0.102084	−	0.128337i
$265$	−41.0019	−	23.6725i	−2.51873	−	1.45419i
$266$	3.84080	+	7.82647i	0.235495	+	0.479872i
$267$	15.2667	+	0.167719i	0.934307	+	0.0102642i
$268$	10.2240	+	9.84348i	0.624530	+	0.601286i
$269$	4.88843	+	2.82234i	0.298053	+	0.172081i	0.641568	−	0.767066i	$-0.278284\pi$
$269$	4.88843	+	2.82234i	0.298053	+	0.172081i	−0.343515	+	0.939147i	$0.611618\pi$
$270$	23.1858	+	18.6720i	1.41105	+	1.13634i
$271$	11.3288	+	19.6221i	0.688177	+	1.19196i	0.972427	+	0.233207i	$0.0749219\pi$
$271$	11.3288	+	19.6221i	0.688177	+	1.19196i	−0.284251	+	0.958750i	$0.591745\pi$
$272$	23.3439	−	0.885614i	1.41543	−	0.0536982i
$273$	4.74208	+	2.47207i	0.287004	+	0.149617i
$274$	−14.1931	−	10.6785i	−0.857434	−	0.645111i
$275$		−	6.20657i		−	0.374270i
$276$	5.41472	+	1.40469i	0.325928	+	0.0845523i
$277$	11.5327			0.692931			0.346466	−	0.938063i	$-0.387382\pi$
$277$	11.5327			0.692931			0.346466	+	0.938063i	$0.387382\pi$
$278$	−18.4945	+	7.86691i	−1.10923	+	0.471826i
$279$	−6.99011	+	11.5153i	−0.418487	+	0.689405i
$280$	−29.6283	+	6.41971i	−1.77063	+	0.383651i
$281$	0.625840	+	1.08399i	0.0373345	+	0.0646652i	0.884089	−	0.467319i	$-0.154780\pi$
$281$	0.625840	+	1.08399i	0.0373345	+	0.0646652i	−0.846754	+	0.531984i	$0.821447\pi$
$282$	−20.8363	−	2.77507i	−1.24078	−	0.165253i
$283$	0.475742	+	0.824009i	0.0282799	+	0.0489822i	0.879819	−	0.475309i	$-0.157664\pi$
$283$	0.475742	+	0.824009i	0.0282799	+	0.0489822i	−0.851539	+	0.524291i	$0.824330\pi$
$284$	9.94021	−	2.86652i	0.589843	−	0.170097i
$285$	16.3481	+	0.179599i	0.968380	+	0.0106385i
$286$	−0.825980	+	0.351342i	−0.0488412	+	0.0207753i
$287$	11.8923	−	0.643253i	0.701981	−	0.0379700i
$288$	6.89090	+	15.5086i	0.406050	+	0.913851i
$289$	8.55378	+	14.8156i	0.503164	+	0.871505i
$290$	−27.2976	−	3.33085i	−1.60297	−	0.195594i
$291$	−27.6050	−	0.303265i	−1.61823	−	0.0177777i
$292$	−3.10249	+	12.5237i	−0.181559	+	0.732897i
$293$	−14.3254	−	8.27078i	−0.836900	−	0.483184i	0.0193095	−	0.999814i	$-0.493853\pi$
$293$	−14.3254	−	8.27078i	−0.836900	−	0.483184i	−0.856209	+	0.516629i	$0.827187\pi$
$294$	17.1414	+	0.417147i	0.999704	+	0.0243285i
$295$	−45.1811	+	26.0853i	−2.63055	+	1.51875i
$296$	−8.29389	+	1.33284i	−0.482073	+	0.0774699i
$297$	2.82457	+	0.0931212i	0.163898	+	0.00540344i
$298$	4.78360	+	3.59905i	0.277106	+	0.208487i
$299$	0.942236	−	1.63200i	0.0544909	−	0.0943810i
$300$	−9.92654	+	38.2643i	−0.573109	+	2.20919i
$301$	4.00233	−	7.88769i	0.230690	−	0.454639i
$302$	−7.40273	+	9.83916i	−0.425979	+	0.566180i
$303$	−6.53526	+	11.0376i	−0.375441	+	0.634093i
$304$	8.24226	+	4.35069i	0.472726	+	0.249529i
$305$	4.21959	−	7.30854i	0.241613	−	0.418486i
$306$	−15.3281	+	19.4676i	−0.876249	+	1.11289i
$307$	−27.1061			−1.54702			−0.773512	−	0.633781i	$-0.781502\pi$
$307$	−27.1061			−1.54702			−0.773512	+	0.633781i	$0.781502\pi$
$308$	−1.88119	+	2.17802i	−0.107191	+	0.124104i
$309$	−9.62889	−	5.70118i	−0.547768	−	0.324329i
$310$	−25.5362	−	3.11593i	−1.45036	−	0.176973i
$311$	6.23017	+	10.7910i	0.353281	+	0.611900i	0.986822	−	0.161809i	$-0.0517327\pi$
$311$	6.23017	+	10.7910i	0.353281	+	0.611900i	−0.633541	+	0.773709i	$0.718399\pi$
$312$	5.65419	−	0.845030i	0.320105	−	0.0478404i
$313$	−16.4616	−	9.50414i	−0.930467	−	0.537206i	−0.0435081	−	0.999053i	$-0.513853\pi$
$313$	−16.4616	−	9.50414i	−0.930467	−	0.537206i	−0.886959	+	0.461847i	$0.847187\pi$
$314$	10.7220	+	1.30829i	0.605075	+	0.0738313i
$315$	15.1763	−	28.3480i	0.855090	−	1.59723i
$316$	1.93657	−	7.81729i	0.108940	−	0.439757i
$317$	10.2693	−	17.7870i	0.576784	−	0.999018i	−0.419062	−	0.907958i	$-0.637641\pi$
$317$	10.2693	−	17.7870i	0.576784	−	0.999018i	0.995845	−	0.0910607i	$-0.0290257\pi$
$318$	28.3763	+	3.77928i	1.59126	+	0.211932i
$319$	−2.26089	+	1.30532i	−0.126585	+	0.0730841i
$320$	−21.5768	+	24.1823i	−1.20618	+	1.35183i
$321$	19.2503	+	0.211482i	1.07445	+	0.0118038i
$322$	0.406828	−	6.02845i	0.0226717	−	0.335952i
$323$			13.6077i			0.757151i
$324$	−17.2649	−	5.09160i	−0.959159	−	0.282867i
$325$	11.5329	+	6.65852i	0.639730	+	0.369348i
$326$	21.2498	+	2.59290i	1.17692	+	0.143607i
$327$	5.05199	−	2.84323i	0.279376	−	0.157231i
$328$	9.87649	−	8.03485i	0.545338	−	0.443650i
$329$	1.22629	+	22.6713i	0.0676075	+	1.24991i
$330$	2.05785	+	4.98933i	0.113281	+	0.274654i
$331$	9.93630	+	5.73673i	0.546149	+	0.315319i	0.747567	−	0.664186i	$-0.231222\pi$
$331$	9.93630	+	5.73673i	0.546149	+	0.315319i	−0.201419	+	0.979505i	$0.564555\pi$
$332$	−7.68439	+	7.98145i	−0.421736	+	0.438039i
$333$	4.62338	−	7.61644i	0.253360	−	0.417378i
$334$	−4.90680	+	2.08718i	−0.268488	+	0.114205i
$335$	−14.3738	−	24.8961i	−0.785324	−	1.36022i
$336$	15.0812	−	10.4191i	0.822747	−	0.568408i
$337$	−4.74216	+	8.21367i	−0.258322	+	0.447427i	−0.965793	−	0.259316i	$-0.916503\pi$
$337$	−4.74216	+	8.21367i	−0.258322	+	0.447427i	0.707470	+	0.706743i	$0.249836\pi$
$338$	−1.99352	+	16.3377i	−0.108433	+	0.888653i
$339$	4.10743	−	2.31164i	0.223085	−	0.125551i
$340$	−45.9301	−	11.3782i	−2.49091	−	0.617069i
$341$	−2.11500	+	1.22110i	−0.114534	+	0.0661262i
$342$	−9.17947	+	3.66861i	−0.496369	+	0.198376i
$343$	−2.98921	−	18.2774i	−0.161402	−	0.986889i
$344$	−1.50030	−	9.33593i	−0.0808908	−	0.503360i
$345$	−9.75001	−	5.77290i	−0.524923	−	0.310802i
$346$	3.46800	+	8.15301i	0.186441	+	0.438308i
$347$	−1.98409	+	1.14551i	−0.106511	+	0.0614943i	−0.552309	−	0.833639i	$-0.686253\pi$
$347$	−1.98409	+	1.14551i	−0.106511	+	0.0614943i	0.445798	+	0.895134i	$0.352920\pi$
$348$	16.0263	−	4.43152i	0.859102	−	0.237554i
$349$	−28.3807	+	16.3856i	−1.51918	+	0.877100i	−0.519437	+	0.854509i	$0.673858\pi$
$349$	−28.3807	+	16.3856i	−1.51918	+	0.877100i	−0.999745	+	0.0225916i	$0.992808\pi$
$350$	42.6013	+	2.87494i	2.27714	+	0.153672i
$351$	−3.20328	+	5.14863i	−0.170978	+	0.274814i
$352$	−0.256604	+	3.06595i	−0.0136770	+	0.163416i
$353$			21.0983i			1.12295i	0.827494	+	0.561474i	$0.189765\pi$
$353$			21.0983i			1.12295i	−0.827494	+	0.561474i	$0.810235\pi$
$354$	19.2409	−	24.9972i	1.02264	−	1.32858i
$355$	−20.9550			−1.11217
$356$	−12.7001	−	12.2274i	−0.673102	−	0.648050i
$357$	23.7319	+	12.3716i	1.25602	+	0.654774i
$358$	−5.52176	−	12.9812i	−0.291834	−	0.686080i
$359$	−25.9102	+	14.9593i	−1.36749	+	0.789519i	−0.990607	−	0.136742i	$-0.956337\pi$
$359$	−25.9102	+	14.9593i	−1.36749	+	0.789519i	−0.376881	+	0.926262i	$0.623003\pi$
$360$	−4.70719	−	34.0511i	−0.248091	−	1.79465i
$361$	6.78552	−	11.7529i	0.357133	−	0.618572i
$362$	4.54560	−	6.04167i	0.238911	−	0.317543i
$363$	−15.9535	−	9.44592i	−0.837341	−	0.495782i
$364$	−2.02898	−	5.83220i	−0.106347	−	0.305690i
$365$	13.0672	−	22.6331i	0.683969	−	1.18467i
$366$	−0.673652	+	5.05804i	−0.0352124	+	0.264388i
$367$	−20.1276			−1.05065			−0.525325	−	0.850901i	$-0.676056\pi$
$367$	−20.1276			−1.05065			−0.525325	+	0.850901i	$0.676056\pi$
$368$	−3.43942	−	5.46749i	−0.179292	−	0.285013i
$369$	−0.296679	+	13.5011i	−0.0154445	+	0.702837i
$370$	16.8901	+	2.06093i	0.878072	+	0.107142i
$371$	−1.67005	−	30.8754i	−0.0867045	−	1.60297i
$372$	14.9922	−	4.14557i	0.777311	−	0.214938i
$373$	−10.9412			−0.566511			−0.283256	−	0.959044i	$-0.591415\pi$
$373$	−10.9412			−0.566511			−0.283256	+	0.959044i	$0.591415\pi$
$374$	−4.13365	+	1.75830i	−0.213746	+	0.0909197i
$375$	22.9209	−	38.7117i	1.18363	−	1.99906i
$376$	15.3175	+	18.8284i	0.789941	+	0.971001i
$377$		−	5.60150i		−	0.288492i
$378$	−1.94754	+	19.3444i	−0.100171	+	0.994970i
$379$		−	15.9358i		−	0.818566i	−0.912407	−	0.409283i	$-0.865779\pi$
$379$		−	15.9358i		−	0.818566i	0.912407	−	0.409283i	$-0.134221\pi$
$380$	−13.5997	−	13.0935i	−0.697649	−	0.671683i
$381$	−12.5406	+	21.1801i	−0.642472	+	1.08509i
$382$	−12.1840	−	28.6437i	−0.623388	−	1.46554i
$383$	23.4896			1.20026			0.600130	−	0.799902i	$-0.295115\pi$
$383$	23.4896			1.20026			0.600130	+	0.799902i	$0.295115\pi$
$384$	6.48555	−	18.4916i	0.330964	−	0.943643i
$385$	4.88368	−	3.18316i	0.248896	−	0.162229i
$386$	0.999382	−	8.19031i	0.0508672	−	0.416876i
$387$	8.57336	+	5.20426i	0.435809	+	0.264547i
$388$	22.9640	+	22.1093i	1.16582	+	1.12243i
$389$	−8.13354			−0.412387			−0.206193	−	0.978511i	$-0.566108\pi$
$389$	−8.13354			−0.412387			−0.206193	+	0.978511i	$0.566108\pi$
$390$	−11.4787	−	1.52879i	−0.581249	−	0.0774133i
$391$	4.71545	−	8.16740i	0.238471	−	0.413043i
$392$	−14.0784	−	13.9212i	−0.711066	−	0.703126i
$393$	−23.7121	−	14.0397i	−1.19612	−	0.708211i
$394$	−16.1209	−	12.1289i	−0.812158	−	0.611046i
$395$	−8.15652	+	14.1275i	−0.410399	+	0.710832i
$396$	−2.30054	−	2.31444i	−0.115607	−	0.116305i
$397$	−23.7199	+	13.6947i	−1.19047	+	0.687318i	−0.958413	−	0.285384i	$-0.907879\pi$
$397$	−23.7199	+	13.6947i	−1.19047	+	0.687318i	−0.232057	+	0.972702i	$0.574545\pi$
$398$	−5.59195	+	2.37862i	−0.280299	+	0.119229i
$399$	5.73176	+	9.00861i	0.286947	+	0.450995i
$400$	38.6372	−	24.3054i	1.93186	−	1.21527i
$401$	18.8493			0.941289			0.470644	−	0.882323i	$-0.344021\pi$
$401$	18.8493			0.941289			0.470644	+	0.882323i	$0.344021\pi$
$402$	13.7742	+	10.6023i	0.686994	+	0.528794i
$403$		−	5.24006i		−	0.261026i
$404$	14.2317	−	4.10408i	0.708052	−	0.204186i
$405$	30.7441	+	19.5995i	1.52769	+	0.973906i
$406$	−7.91236	−	16.1232i	−0.392684	−	0.800180i
$407$	1.39890	−	0.807655i	0.0693409	−	0.0400340i
$408$	28.2966	−	4.22898i	1.40089	−	0.209366i
$409$	16.5259	−	9.54123i	0.817153	−	0.471784i	−0.0322805	−	0.999479i	$-0.510277\pi$
$409$	16.5259	−	9.54123i	0.817153	−	0.471784i	0.849434	+	0.527695i	$0.176944\pi$
$410$	−23.7317	+	10.0946i	−1.17203	+	0.498537i
$411$	−18.7184	−	11.0830i	−0.923308	−	0.546683i
$412$	3.58029	+	12.4153i	0.176388	+	0.611659i
$413$	−30.3845	−	15.4175i	−1.49512	−	0.758646i
$414$	6.78085	+	0.979030i	0.333261	+	0.0481167i
$415$	19.4354	−	11.2210i	0.954045	−	0.550818i
$416$	−5.42178	−	3.76602i	−0.265825	−	0.184644i
$417$	−21.4512	+	12.0726i	−1.05047	+	0.591200i
$418$	−1.77898	−	0.217071i	−0.0870125	−	0.0106173i
$419$	−12.7212	+	22.0338i	−0.621473	+	1.07642i	0.367739	+	0.929929i	$0.380132\pi$
$419$	−12.7212	+	22.0338i	−0.621473	+	1.07642i	−0.989212	+	0.146493i	$0.953201\pi$
$420$	−35.1995	+	11.8138i	−1.71756	+	0.576455i
$421$	10.2492	+	17.7521i	0.499514	+	0.865183i	1.00000		0.000561434i	$-0.000178710\pi$
$421$	10.2492	+	17.7521i	0.499514	+	0.865183i	−0.500486	+	0.865745i	$0.666845\pi$
$422$	−0.0555580	−	0.130613i	−0.00270452	−	0.00635813i
$423$	−25.7383	−	0.565584i	−1.25144	−	0.0274996i
$424$	−20.8605	−	25.6418i	−1.01307	−	1.24528i
$425$	57.7168	+	33.3228i	2.79967	+	1.61639i
$426$	11.7131	−	4.83109i	0.567503	−	0.234067i
$427$	5.50350	−	0.297684i	0.266333	−	0.0144059i
$428$	−16.0139	−	15.4179i	−0.774062	−	0.745252i
$429$	−0.958028	+	0.539173i	−0.0462540	+	0.0260315i
$430$	−2.31986	+	19.0121i	−0.111874	+	0.916845i
$431$	15.2031	+	8.77752i	0.732308	+	0.422798i	0.819266	−	0.573414i	$-0.194381\pi$
$431$	15.2031	+	8.77752i	0.732308	+	0.422798i	−0.0869578	+	0.996212i	$0.527715\pi$
$432$	10.4815	+	17.9482i	0.504292	+	0.863533i
$433$		−	15.2009i		−	0.730507i	−0.930908	−	0.365254i	$-0.880982\pi$
$433$		−	15.2009i		−	0.730507i	0.930908	−	0.365254i	$-0.119018\pi$
$434$	−7.40182	−	15.0828i	−0.355299	−	0.723999i
$435$	−33.6785	−	0.369988i	−1.61476	−	0.0177396i
$436$	−6.49753	−	1.60962i	−0.311175	−	0.0770869i
$437$	3.25849	−	1.88129i	0.155875	−	0.0899944i
$438$	−2.08616	+	15.6637i	−0.0996808	+	0.748442i
$439$	−7.28455	+	12.6172i	−0.347673	+	0.602187i	−0.985836	−	0.167715i	$-0.946361\pi$
$439$	−7.28455	+	12.6172i	−0.347673	+	0.602187i	0.638163	+	0.769901i	$0.279695\pi$
$440$	2.22019	−	5.82309i	0.105843	−	0.277605i
$441$	20.9222	−	1.80594i	0.996295	−	0.0859971i
$442$	1.16741	−	9.56737i	0.0555281	−	0.455074i
$443$	20.8085	+	12.0138i	0.988639	+	0.570791i	0.904867	−	0.425694i	$-0.139970\pi$
$443$	20.8085	+	12.0138i	0.988639	+	0.570791i	0.0837721	+	0.996485i	$0.473303\pi$
$444$	−9.91612	+	2.74195i	−0.470598	+	0.130127i
$445$	17.8549	+	30.9255i	0.846401	+	1.46601i
$446$	2.19628	−	17.9993i	0.103997	−	0.852293i
$447$	6.30879	+	3.73538i	0.298396	+	0.176678i
$448$	−20.9255	−	3.18149i	−0.988639	−	0.150311i
$449$	36.1930			1.70806			0.854028	−	0.520228i	$-0.174153\pi$
$449$	36.1930			1.70806			0.854028	+	0.520228i	$0.174153\pi$
$450$	−6.91853	+	47.9184i	−0.326143	+	2.25889i
$451$	−1.22413	+	2.12025i	−0.0576420	+	0.0998389i
$452$	−5.28270	−	1.30868i	−0.248477	−	0.0615549i
$453$	−7.68314	+	12.9763i	−0.360985	+	0.609678i
$454$	21.2287	+	15.9719i	0.996314	+	0.749600i
$455$	0.675565	+	12.4897i	0.0316710	+	0.585525i
$456$	10.6204	+	4.18349i	0.497347	+	0.195910i
$457$	−10.2859	+	17.8158i	−0.481156	+	0.833386i	−0.999766	−	0.0216244i	$-0.993116\pi$
$457$	−10.2859	+	17.8158i	−0.481156	+	0.833386i	0.518610	+	0.855011i	$0.326450\pi$
$458$	15.3805	−	20.4426i	0.718682	−	0.955220i
$459$	−16.0309	+	25.7665i	−0.748260	+	1.20268i
$460$	3.62532	+	12.5715i	0.169032	+	0.586149i
$461$	−20.0785	+	11.5923i	−0.935149	+	0.539908i	−0.888436	−	0.459000i	$-0.848208\pi$
$461$	−20.0785	+	11.5923i	−0.935149	+	0.539908i	−0.0467125	+	0.998908i	$0.514874\pi$
$462$	−1.99595	+	2.90520i	−0.0928600	+	0.135162i
$463$	11.0442	+	6.37637i	0.513268	+	0.296335i	0.734176	−	0.678959i	$-0.237569\pi$
$463$	11.0442	+	6.37637i	0.513268	+	0.296335i	−0.220908	+	0.975295i	$0.570902\pi$
$464$	−16.9797	−	8.96277i	−0.788264	−	0.416086i
$465$	−31.5054	−	0.346115i	−1.46103	−	0.0160507i
$466$	−2.01564	+	16.5189i	−0.0933726	+	0.765224i
$467$	10.3847	+	17.9868i	0.480545	+	0.832329i	0.999751	−	0.0223206i	$-0.00710547\pi$
$467$	10.3847	+	17.9868i	0.480545	+	0.832329i	−0.519206	+	0.854649i	$0.673772\pi$
$468$	6.76869	−	1.79184i	0.312883	−	0.0828278i
$469$	8.49550	−	16.7427i	0.392286	−	0.773108i
$470$	−19.2442	−	45.2418i	−0.887671	−	2.08685i
$471$	13.2283	+	0.145324i	0.609527	+	0.00669620i
$472$	−35.9633	+	5.77936i	−1.65534	+	0.266017i
$473$	0.909128	+	1.57466i	0.0418018	+	0.0724028i
$474$	1.30218	−	9.77726i	0.0598111	−	0.449084i
$475$	13.2946	+	23.0269i	0.609997	+	1.05655i
$476$	−10.1541	−	29.1874i	−0.465412	−	1.33780i
$477$	35.0521	+	0.770252i	1.60493	+	0.0352674i
$478$	1.08526	+	2.55137i	0.0496387	+	0.116697i
$479$	18.2347			0.833166			0.416583	−	0.909098i	$-0.363228\pi$
$479$	18.2347			0.833166			0.416583	+	0.909098i	$0.363228\pi$
$480$	−23.0009	+	32.3492i	−1.04984	+	1.47653i
$481$			3.46587i			0.158030i
$482$	−5.82906	+	7.74756i	−0.265506	+	0.352892i
$483$	−0.318489	−	7.39325i	−0.0144917	−	0.336404i
$484$	5.93195	+	20.5701i	0.269634	+	0.935007i
$485$	−32.2848	−	55.9189i	−1.46598	−	2.53915i
$486$	−21.7035	−	3.86753i	−0.984491	−	0.175435i
$487$	−8.32199	−	4.80470i	−0.377105	−	0.217722i	0.299453	−	0.954111i	$-0.403196\pi$
$487$	−8.32199	−	4.80470i	−0.377105	−	0.217722i	−0.676558	+	0.736389i	$0.736529\pi$
$488$	4.57062	−	3.71835i	0.206902	−	0.168322i
$489$	26.2170	+	0.288017i	1.18557	+	0.0130246i
$490$	19.5868	+	34.9956i	0.884839	+	1.58094i
$491$	1.55447	+	0.897475i	0.0701524	+	0.0405025i	0.534666	−	0.845064i	$-0.320437\pi$
$491$	1.55447	+	0.897475i	0.0701524	+	0.0405025i	−0.464514	+	0.885566i	$0.653771\pi$
$492$	10.9380	−	11.1138i	0.493121	−	0.501049i
$493$		−	28.0329i		−	1.26254i
$494$	2.31187	−	3.07277i	0.104016	−	0.138250i
$495$	3.17845	+	5.79567i	0.142861	+	0.260496i
$496$	−15.8841	−	8.38444i	−0.713218	−	0.376473i
$497$	−7.47290	−	11.4651i	−0.335206	−	0.514281i
$498$	−8.27676	+	10.7529i	−0.370891	+	0.481850i
$499$		−	43.9761i		−	1.96864i	−0.176386	−	0.984321i	$-0.556441\pi$
$499$		−	43.9761i		−	1.96864i	0.176386	−	0.984321i	$-0.443559\pi$
$500$	−49.9142	+	14.3941i	−2.23223	+	0.643723i
$501$	−5.69125	+	3.20300i	−0.254266	+	0.143100i
$502$	−19.2493	−	14.4827i	−0.859138	−	0.646393i
$503$	18.3538			0.818355			0.409178	−	0.912455i	$-0.365816\pi$
$503$	18.3538			0.818355			0.409178	+	0.912455i	$0.365816\pi$
$504$	16.9517	−	14.7186i	0.755090	−	0.655621i
$505$	−30.0018			−1.33506
$506$	0.992530	+	0.746754i	0.0441233	+	0.0331973i
$507$	−0.221439	+	20.1567i	−0.00983447	+	0.895190i
$508$	27.3092	−	7.87534i	1.21165	−	0.349412i
$509$			15.2086i			0.674110i	0.941485	+	0.337055i	$0.109431\pi$
$509$			15.2086i			0.674110i	−0.941485	+	0.337055i	$0.890569\pi$
$510$	−57.4458	−	7.65089i	−2.54374	−	0.338787i
$511$	17.0432	−	0.921866i	0.753948	−	0.0407809i
$512$	−20.0911	+	10.4091i	−0.887908	+	0.460020i
$513$	−10.6788	+	5.70478i	−0.471482	+	0.251872i
$514$	−17.6700	+	23.4857i	−0.779391	+	1.03591i
$515$		−	26.1728i		−	1.15331i
$516$	−3.08645	−	11.1620i	−0.135873	−	0.491378i
$517$	−4.04203	−	2.33366i	−0.177768	−	0.102634i
$518$	4.89569	+	9.97603i	0.215104	+	0.438322i
$519$	5.32202	+	9.45642i	0.233611	+	0.415091i
$520$	8.43845	+	10.3726i	0.370051	+	0.454869i
$521$	14.2730	+	8.24049i	0.625309	+	0.361023i	0.778933	−	0.627107i	$-0.215761\pi$
$521$	14.2730	+	8.24049i	0.625309	+	0.361023i	−0.153624	+	0.988129i	$0.549094\pi$
$522$	18.9104	−	7.55764i	0.827688	−	0.330789i
$523$	−7.92785	−	13.7314i	−0.346661	−	0.600434i	0.638993	−	0.769212i	$-0.279351\pi$
$523$	−7.92785	−	13.7314i	−0.346661	−	0.600434i	−0.985654	+	0.168778i	$0.946018\pi$
$524$	8.81681	+	30.5740i	0.385164	+	1.33563i
$525$	52.2460	−	2.25067i	2.28020	−	0.0982273i
$526$	8.34880	−	11.0966i	0.364025	−	0.483836i
$527$		−	26.2241i		−	1.14234i
$528$	0.101479	+	3.76677i	0.00441631	+	0.163928i
$529$	20.3923			0.886622
$530$	26.2081	+	61.6135i	1.13841	+	2.67632i
$531$	20.0475	−	33.0258i	0.869988	−	1.43320i
$532$	2.31399	−	12.1102i	0.100324	−	0.525043i
$533$	−2.62653	−	4.54929i	−0.113768	−	0.197052i
$534$	−17.1100	−	13.1700i	−0.740423	−	0.569920i
$535$	22.5137	+	38.9950i	0.973354	+	1.68590i
$536$	−3.18460	−	19.8168i	−0.137554	−	0.855957i
$537$	−8.47375	−	15.0565i	−0.365669	−	0.649738i
$538$	−3.12465	−	7.34584i	−0.134713	−	0.316701i
$539$	3.48321	+	1.53684i	0.150032	+	0.0661966i
$540$	−10.3262	−	40.8145i	−0.444368	−	1.75638i
$541$	16.3113	+	28.2520i	0.701278	+	1.21465i	0.968018	+	0.250880i	$0.0807201\pi$
$541$	16.3113	+	28.2520i	0.701278	+	1.21465i	−0.266740	+	0.963768i	$0.585947\pi$
$542$	3.88107	−	31.8068i	0.166706	−	1.36622i
$543$	4.71778	−	7.96799i	0.202459	−	0.341939i
$544$	−27.1335	−	18.8472i	−1.16334	−	0.808066i
$545$	11.7424	+	6.77949i	0.502990	+	0.290401i
$546$	−3.25707	−	6.82557i	−0.139390	−	0.292107i
$547$	30.4408	−	17.5750i	1.30155	−	0.751453i	0.320884	−	0.947119i	$-0.396020\pi$
$547$	30.4408	−	17.5750i	1.30155	−	0.751453i	0.980671	+	0.195666i	$0.0626867\pi$
$548$	6.96000	+	24.1351i	0.297316	+	1.03100i
$549$	−0.137296	+	6.24800i	−0.00585967	+	0.266658i
$550$	−5.27710	+	7.01393i	−0.225016	+	0.299075i
$551$	5.59205	−	9.68572i	0.238229	−	0.412625i
$552$	−4.92474	−	6.19124i	−0.209611	−	0.263517i
$553$	−10.6383	+	0.575427i	−0.452389	+	0.0244696i
$554$	−13.0329	−	9.80559i	−0.553713	−	0.416599i
$555$	20.8382	+	0.228926i	0.884532	+	0.00971738i
$556$	27.5891	+	6.83461i	1.17004	+	0.289852i
$557$	−21.0919	+	36.5322i	−0.893692	+	1.54792i	−0.0582771	+	0.998300i	$0.518561\pi$
$557$	−21.0919	+	36.5322i	−0.893692	+	1.54792i	−0.835415	+	0.549620i	$0.814773\pi$
$558$	17.6902	−	7.06998i	0.748888	−	0.299296i
$559$	−3.90131			−0.165008
$560$	38.9407	+	17.9365i	1.64555	+	0.757955i
$561$	−4.79449	+	2.69831i	−0.202423	+	0.113923i
$562$	0.214403	−	1.75711i	0.00904402	−	0.0741192i
$563$	−16.2172	−	28.0890i	−0.683473	−	1.18381i	−0.973914	−	0.226917i	$-0.927135\pi$
$563$	−16.2172	−	28.0890i	−0.683473	−	1.18381i	0.290441	−	0.956893i	$-0.406198\pi$
$564$	21.1872	+	20.8520i	0.892143	+	0.878027i
$565$	9.54696	+	5.51194i	0.401644	+	0.231889i
$566$	0.162981	−	1.33569i	0.00685062	−	0.0561434i
$567$	0.240384	+	23.8105i	0.0100952	+	0.999949i
$568$	−13.6705	−	5.21220i	−0.573601	−	0.218699i
$569$	−9.74520	+	16.8792i	−0.408540	+	0.707612i	−0.994726	−	0.102564i	$-0.967295\pi$
$569$	−9.74520	+	16.8792i	−0.408540	+	0.707612i	0.586186	+	0.810176i	$0.300629\pi$
$570$	−18.3220	−	14.1029i	−0.767425	−	0.590704i
$571$	−26.1168	+	15.0785i	−1.09295	+	0.631017i	−0.934361	−	0.356327i	$-0.884029\pi$
$571$	−26.1168	+	15.0785i	−1.09295	+	0.631017i	−0.158593	+	0.987344i	$0.550696\pi$
$572$	1.23215	+	0.305239i	0.0515188	+	0.0127627i
$573$	−18.6977	−	33.2229i	−0.781107	−	1.38791i
$574$	−13.9862	−	9.38444i	−0.583773	−	0.391699i
$575$		−	18.4278i		−	0.768493i
$576$	5.39878	−	23.3849i	0.224949	−	0.974370i
$577$	−14.9496	−	8.63117i	−0.622361	−	0.359320i	0.155426	−	0.987847i	$-0.450325\pi$
$577$	−14.9496	−	8.63117i	−0.622361	−	0.359320i	−0.777788	+	0.628527i	$0.783658\pi$
$578$	2.93039	−	24.0156i	0.121888	−	0.998919i
$579$	0.111011	−	10.1048i	0.00461345	−	0.419942i
$580$	28.0164	+	26.9737i	1.16332	+	1.12002i
$581$	13.0703	+	6.63208i	0.542249	+	0.275145i
$582$	30.9380	+	23.8137i	1.28242	+	0.987108i
$583$	5.50471	+	3.17815i	0.227982	+	0.131625i
$584$	14.1543	−	11.5150i	0.585709	−	0.476493i
$585$	−14.1793	−	0.311581i	−0.586240	−	0.0128823i
$586$	9.15671	+	21.5268i	0.378260	+	0.889262i
$587$	17.3621	+	30.0720i	0.716611	+	1.24121i	0.962335	+	0.271866i	$0.0876409\pi$
$587$	17.3621	+	30.0720i	0.716611	+	1.24121i	−0.245724	+	0.969340i	$0.579026\pi$
$588$	−19.0165	−	15.0457i	−0.784225	−	0.620476i
$589$	5.23122	−	9.06074i	0.215549	−	0.373341i
$590$	73.2373	+	8.93641i	3.01513	+	0.367906i
$591$	−21.2608	−	12.5884i	−0.874554	−	0.517816i
$592$	10.5060	+	5.54561i	0.431795	+	0.227923i
$593$	15.7360	−	9.08520i	0.646201	−	0.373085i	−0.140798	−	0.990038i	$-0.544967\pi$
$593$	15.7360	−	9.08520i	0.646201	−	0.373085i	0.786999	+	0.616954i	$0.211633\pi$
$594$	−3.11282	−	2.50680i	−0.127720	−	0.102855i
$595$	3.38089	+	62.5051i	0.138603	+	2.56246i
$596$	−2.34578	−	8.13445i	−0.0960870	−	0.333200i
$597$	−6.48593	+	3.65025i	−0.265452	+	0.149395i
$598$	−2.45240	+	1.04316i	−0.100286	+	0.0426581i
$599$	−24.5378	+	14.1669i	−1.00259	+	0.578845i	−0.909013	−	0.416767i	$-0.863163\pi$
$599$	−24.5378	+	14.1669i	−1.00259	+	0.578845i	−0.0935756	+	0.995612i	$0.529830\pi$
$600$	43.7518	−	34.8018i	1.78616	−	1.42078i
$601$	−16.3852	+	9.46002i	−0.668368	+	0.385882i	−0.795458	−	0.606009i	$-0.792770\pi$
$601$	−16.3852	+	9.46002i	−0.668368	+	0.385882i	0.127090	+	0.991891i	$0.459436\pi$
$602$	−11.2294	+	5.51078i	−0.457677	+	0.224603i
$603$	18.1982	+	11.0468i	0.741087	+	0.449859i
$604$	16.7314	−	4.82493i	0.680790	−	0.196324i
$605$		−	43.3640i		−	1.76300i
$606$	16.7700	−	6.91681i	0.681236	−	0.280976i
$607$	−6.04655			−0.245422			−0.122711	−	0.992442i	$-0.539159\pi$
$607$	−6.04655			−0.245422			−0.122711	+	0.992442i	$0.539159\pi$
$608$	−5.61529	−	11.9246i	−0.227730	−	0.483605i
$609$	−11.8079	−	18.5585i	−0.478480	−	0.752027i
$610$	−10.9825	+	4.67157i	−0.444669	+	0.189146i
$611$	8.67271	−	5.00719i	0.350860	−	0.202569i
$612$	33.8742	−	8.96732i	1.36928	−	0.362482i
$613$	−0.0235058	+	0.0407133i	−0.000949392	+	0.00164439i	−0.866500	−	0.499178i	$-0.833636\pi$
$613$	−0.0235058	+	0.0407133i	−0.000949392	+	0.00164439i	0.865550	+	0.500822i	$0.166969\pi$
$614$	30.6321	+	23.0468i	1.23621	+	0.930092i
$615$	−27.5257	+	15.4913i	−1.10994	+	0.624669i
$616$	3.97775	−	0.861878i	0.160268	−	0.0347261i
$617$	−10.4917	+	18.1721i	−0.422379	+	0.731582i	−0.996172	−	0.0874187i	$-0.972138\pi$
$617$	−10.4917	+	18.1721i	−0.422379	+	0.731582i	0.573793	+	0.819001i	$0.305472\pi$
$618$	6.03404	+	14.6297i	0.242725	+	0.588493i
$619$	−5.34333			−0.214767			−0.107383	−	0.994218i	$-0.534247\pi$
$619$	−5.34333			−0.214767			−0.107383	+	0.994218i	$0.534247\pi$
$620$	26.2087	+	25.2332i	1.05257	+	1.01339i
$621$	8.38637	+	0.276484i	0.336533	+	0.0110949i
$622$	2.13436	−	17.4919i	0.0855799	−	0.701359i
$623$	−10.5530	+	20.7975i	−0.422795	+	0.833234i
$624$	−7.10818	−	3.85249i	−0.284555	−	0.154223i
$625$	48.1664			1.92665
$626$	10.5222	+	24.7369i	0.420551	+	0.988684i
$627$	−2.19482	−	0.0241121i	−0.0876526	−	0.000962943i
$628$	−11.0043	−	10.5948i	−0.439121	−	0.422777i
$629$			17.3450i			0.691592i
$630$	−41.2532	+	19.1320i	−1.64357	+	0.762236i
$631$			23.1548i			0.921776i	0.887458	+	0.460888i	$0.152469\pi$
$631$			23.1548i			0.921776i	−0.887458	+	0.460888i	$0.847531\pi$
$632$	−8.83508	+	7.18763i	−0.351441	+	0.285908i
$633$	−0.0852598	−	0.151494i	−0.00338877	−	0.00602133i
$634$	−26.7285	+	11.3693i	−1.06152	+	0.451534i
$635$	−57.5707			−2.28462
$636$	−28.8542	−	28.3977i	−1.14414	−	1.12604i
$637$	−6.59257	+	4.82366i	−0.261207	+	0.191120i
$638$	3.66483	+	0.447183i	0.145092	+	0.0177041i
$639$	13.6061	−	7.46184i	0.538250	−	0.295186i
$640$	44.9444	−	8.98249i	1.77658	−	0.355064i
$641$	−16.3966			−0.647628			−0.323814	−	0.946121i	$-0.604965\pi$
$641$	−16.3966			−0.647628			−0.323814	+	0.946121i	$0.604965\pi$
$642$	−21.5746	−	16.6064i	−0.851481	−	0.655403i
$643$	−4.77787	+	8.27551i	−0.188421	+	0.326354i	−0.944724	−	0.327867i	$-0.893670\pi$
$643$	−4.77787	+	8.27551i	−0.188421	+	0.326354i	0.756303	+	0.654221i	$0.227004\pi$
$644$	−5.58540	+	6.46673i	−0.220096	+	0.254825i
$645$	−0.257688	+	23.4563i	−0.0101465	+	0.923590i
$646$	11.5698	−	15.3778i	0.455209	−	0.605031i
$647$	10.7329	−	18.5900i	0.421956	−	0.730849i	−0.574175	−	0.818733i	$-0.694677\pi$
$647$	10.7329	−	18.5900i	0.421956	−	0.730849i	0.996131	+	0.0878838i	$0.0280104\pi$
$648$	15.1816	+	20.4333i	0.596390	+	0.802695i
$649$	6.06579	−	3.50209i	0.238103	−	0.137469i
$650$	−7.37175	−	17.3304i	−0.289144	−	0.679756i
$651$	−11.0460	−	17.3610i	−0.432926	−	0.680431i
$652$	−21.8094	−	20.9977i	−0.854121	−	0.822332i
$653$	−3.15237			−0.123362			−0.0616808	−	0.998096i	$-0.519646\pi$
$653$	−3.15237			−0.123362			−0.0616808	+	0.998096i	$0.519646\pi$
$654$	−8.12660	−	1.08234i	−0.317775	−	0.0423227i
$655$		−	64.4531i		−	2.51839i
$656$	−17.9928	+	0.682607i	−0.702502	+	0.0266513i
$657$	−0.425179	+	19.3488i	−0.0165878	+	0.754868i
$658$	17.8904	−	26.6631i	0.697439	−	1.03944i
$659$	9.56754	−	5.52382i	0.372698	−	0.215178i	−0.301938	−	0.953327i	$-0.597634\pi$
$659$	9.56754	−	5.52382i	0.372698	−	0.215178i	0.674637	+	0.738150i	$0.264300\pi$
$660$	1.91661	−	7.38803i	0.0746038	−	0.287579i
$661$	24.5803	−	14.1914i	0.956063	−	0.551983i	0.0611040	−	0.998131i	$-0.480538\pi$
$661$	24.5803	−	14.1914i	0.956063	−	0.551983i	0.894959	+	0.446148i	$0.147205\pi$
$662$	−6.35122	−	14.9313i	−0.246847	−	0.580320i
$663$	0.129675	−	11.8038i	0.00503617	−	0.458421i
$664$	15.4702	−	2.48608i	0.600359	−	0.0964787i
$665$	−11.3005	+	22.2707i	−0.438214	+	0.863621i
$666$	−11.7006	+	4.67620i	−0.453390	+	0.181199i
$667$	−6.71276	+	3.87562i	−0.259919	+	0.150064i
$668$	7.31970	+	1.81330i	0.283208	+	0.0701586i
$669$	0.243961	−	22.2067i	0.00943208	−	0.858562i
$670$	−4.92423	+	40.3559i	−0.190240	+	1.55908i
$671$	−0.566500	+	0.981208i	−0.0218695	+	0.0378791i
$672$	−25.9018	−	1.04826i	−0.999182	−	0.0404375i
$673$	14.8049	+	25.6429i	0.570688	+	0.988461i	0.996495	+	0.0836470i	$0.0266568\pi$
$673$	14.8049	+	25.6429i	0.570688	+	0.988461i	−0.425807	+	0.904814i	$0.640010\pi$
$674$	12.3427	−	5.25012i	0.475421	−	0.202227i
$675$	−1.95384	+	59.2641i	−0.0752033	+	2.28108i
$676$	16.1439	−	16.7679i	0.620918	−	0.644921i
$677$	−17.0249	−	9.82935i	−0.654321	−	0.377772i	0.135789	−	0.990738i	$-0.456643\pi$
$677$	−17.0249	−	9.82935i	−0.654321	−	0.377772i	−0.790110	+	0.612965i	$0.789976\pi$
$678$	−6.60719	−	0.879975i	−0.253748	−	0.0337952i
$679$	19.0817	−	37.6057i	0.732287	−	1.44317i
$680$	42.2305	+	51.9101i	1.61947	+	1.99066i
$681$	27.9973	+	16.5770i	1.07286	+	0.635230i
$682$	3.42836	+	0.418329i	0.131279	+	0.0160186i
$683$	−4.93427	−	2.84880i	−0.188804	−	0.109006i	0.402618	−	0.915368i	$-0.368100\pi$
$683$	−4.93427	−	2.84880i	−0.188804	−	0.109006i	−0.591423	+	0.806362i	$0.701434\pi$
$684$	13.4928	+	3.65896i	0.515909	+	0.139904i
$685$		−	50.8793i		−	1.94400i
$686$	−12.1622	+	23.1966i	−0.464356	+	0.885649i
$687$	15.9631	−	26.9605i	0.609030	−	1.02861i
$688$	−6.24236	+	11.8260i	−0.237988	+	0.450862i
$689$	−11.8111	+	6.81914i	−0.449967	+	0.259789i
$690$	6.10994	+	14.8137i	0.232601	+	0.563949i
$691$	8.90268	−	15.4199i	0.338674	−	0.586600i	−0.645510	−	0.763752i	$-0.723355\pi$
$691$	8.90268	−	15.4199i	0.338674	−	0.586600i	0.984184	+	0.177152i	$0.0566884\pi$
$692$	3.01293	−	12.1622i	0.114534	−	0.462338i
$693$	−2.03750	+	3.80586i	−0.0773982	+	0.144573i
$694$	3.21614	+	0.392434i	0.122083	+	0.0148966i
$695$	−49.8594	−	28.7863i	−1.89128	−	1.09193i
$696$	−21.8789	−	8.61832i	−0.829319	−	0.326677i
$697$	−13.1446	−	22.7671i	−0.497887	−	0.862365i
$698$	46.0042	+	5.61344i	1.74129	+	0.212472i
$699$	−0.223896	+	20.3803i	−0.00846851	+	0.770853i
$700$	−45.6986	−	39.4705i	−1.72725	−	1.49184i
$701$	9.77794			0.369308			0.184654	−	0.982804i	$-0.440884\pi$
$701$	9.77794			0.369308			0.184654	+	0.982804i	$0.440884\pi$
$702$	7.99756	−	3.09481i	0.301849	−	0.116806i
$703$	−3.46002	+	5.99293i	−0.130497	+	0.226028i
$704$	2.89679	−	3.24660i	0.109177	−	0.122361i
$705$	−29.5324	−	52.4746i	−1.11225	−	1.97631i
$706$	17.9387	−	23.8428i	0.675131	−	0.897335i
$707$	−10.6992	−	16.4149i	−0.402384	−	0.617347i
$708$	−42.9975	+	11.8894i	−1.61594	+	0.446832i
$709$	6.52938	−	11.3092i	0.245216	−	0.424726i	−0.716976	−	0.697097i	$-0.754474\pi$
$709$	6.52938	−	11.3092i	0.245216	−	0.424726i	0.962192	+	0.272371i	$0.0878078\pi$
$710$	23.6808	+	17.8168i	0.888726	+	0.668654i
$711$	0.265396	−	12.0775i	0.00995312	−	0.452941i
$712$	3.95585	+	24.6161i	0.148252	+	0.922527i
$713$	−6.27962	+	3.62554i	−0.235174	+	0.135778i
$714$	−16.3001	−	34.1588i	−0.610017	−	1.27836i
$715$	−2.22676	−	1.28562i	−0.0832761	−	0.0480795i
$716$	−4.79719	+	19.3647i	−0.179279	+	0.723693i
$717$	1.66545	+	2.95925i	0.0621974	+	0.110515i
$718$	41.9997	+	5.12480i	1.56741	+	0.191256i
$719$	−15.4289	−	26.7237i	−0.575401	−	0.996624i	−0.995998	−	0.0893766i	$-0.971513\pi$
$719$	−15.4289	−	26.7237i	−0.575401	−	0.996624i	0.420597	−	0.907248i	$-0.361821\pi$
$720$	−23.6322	+	42.4828i	−0.880721	+	1.58324i
$721$	14.3199	−	9.33366i	0.533302	−	0.347604i
$722$	−17.6610	+	7.51235i	−0.657274	+	0.279581i
$723$	−6.04986	+	10.2178i	−0.224997	+	0.380003i
$724$	−10.2738	+	2.96272i	−0.381822	+	0.110109i
$725$	−27.3879	−	47.4372i	−1.01716	−	1.76177i
$726$	9.99740	+	24.2390i	0.371038	+	0.899594i
$727$	1.75480	+	3.03940i	0.0650819	+	0.112725i	0.896730	−	0.442577i	$-0.145936\pi$
$727$	1.75480	+	3.03940i	0.0650819	+	0.112725i	−0.831648	+	0.555303i	$0.812602\pi$
$728$	−2.66588	+	8.31599i	−0.0988040	+	0.308211i
$729$	−26.9414	−	1.77836i	−0.997829	−	0.0658650i
$730$	−34.0106	+	14.4669i	−1.25879	+	0.535444i
$731$	−19.5243			−0.722131
$732$	5.06185	−	5.14323i	0.187091	−	0.190099i
$733$			2.53898i			0.0937793i	0.998900	+	0.0468897i	$0.0149309\pi$
$733$			2.53898i			0.0937793i	−0.998900	+	0.0468897i	$0.985069\pi$
$734$	22.7458	+	17.1134i	0.839563	+	0.631665i
$735$	28.5663	+	39.9558i	1.05368	+	1.47379i
$736$	−0.761879	+	9.10306i	−0.0280832	+	0.335543i
$737$	1.92975	+	3.34243i	0.0710834	+	0.123120i
$738$	11.8145	−	15.0051i	0.434897	−	0.552344i
$739$	7.43557	+	4.29293i	0.273522	+	0.157918i	0.630487	−	0.776200i	$-0.282855\pi$
$739$	7.43557	+	4.29293i	0.273522	+	0.157918i	−0.356965	+	0.934118i	$0.616188\pi$
$740$	−17.3349	−	16.6897i	−0.637242	−	0.613525i
$741$	2.39944	−	4.05249i	0.0881458	−	0.148872i
$742$	−24.3643	+	36.3117i	−0.894443	+	1.33304i
$743$	−0.852403	−	0.492135i	−0.0312716	−	0.0180547i	0.484283	−	0.874912i	$-0.339081\pi$
$743$	−0.852403	−	0.492135i	−0.0312716	−	0.0180547i	−0.515554	+	0.856857i	$0.672414\pi$
$744$	−20.4672	−	8.06223i	−0.750364	−	0.295576i
$745$			17.1482i			0.628263i
$746$	12.3644	+	9.30265i	0.452693	+	0.340594i
$747$	−8.62375	+	14.2066i	−0.315526	+	0.519791i
$748$	6.16635	+	1.52758i	0.225464	+	0.0558538i
$749$	−13.3066	+	26.2242i	−0.486211	+	0.958213i
$750$	−58.8169	+	24.2591i	−2.14769	+	0.885816i
$751$		−	4.82883i		−	0.176207i	−0.996111	−	0.0881033i	$-0.971919\pi$
$751$		−	4.82883i		−	0.176207i	0.996111	−	0.0881033i	$-0.0280806\pi$
$752$	−1.30131	−	34.3013i	−0.0474540	−	1.25084i
$753$	−25.3867	−	15.0313i	−0.925144	−	0.547770i
$754$	−4.76264	+	6.33015i	−0.173445	+	0.230531i
$755$	−35.2715			−1.28366
$756$	18.6484	−	20.2049i	0.678235	−	0.734845i
$757$	−39.8457			−1.44822			−0.724109	−	0.689686i	$-0.757749\pi$
$757$	−39.8457			−1.44822			−0.724109	+	0.689686i	$0.757749\pi$
$758$	−13.5493	+	18.0087i	−0.492133	+	0.654107i
$759$	1.30899	+	0.775041i	0.0475132	+	0.0281322i
$760$	4.23606	+	26.3598i	0.153658	+	0.956170i
$761$		−	23.6541i		−	0.857460i	−0.903433	−	0.428730i	$-0.858961\pi$
$761$		−	23.6541i		−	0.857460i	0.903433	−	0.428730i	$-0.141039\pi$
$762$	32.1801	−	13.2727i	1.16576	−	0.480820i
$763$	0.478280	+	8.84232i	0.0173149	+	0.320113i
$764$	−10.5852	+	42.7291i	−0.382960	+	1.54588i
$765$	−70.9606	−	1.55932i	−2.56558	−	0.0563773i
$766$	−26.5451	−	19.9719i	−0.959114	−	0.721612i
$767$			15.0284i			0.542644i
$768$	−23.0515	+	15.3827i	−0.831801	+	0.555074i
$769$	1.86343	+	1.07585i	0.0671971	+	0.0387963i	0.533222	−	0.845975i	$-0.320981\pi$
$769$	1.86343	+	1.07585i	0.0671971	+	0.0387963i	−0.466025	+	0.884772i	$0.654314\pi$
$770$	−8.22542	−	0.555091i	−0.296424	−	0.0200041i
$771$	−18.3394	+	30.9738i	−0.660476	+	1.11550i
$772$	−8.09315	+	8.40600i	−0.291279	+	0.302539i
$773$	24.9256	+	14.3908i	0.896513	+	0.517602i	0.876067	−	0.482189i	$-0.160158\pi$
$773$	24.9256	+	14.3908i	0.896513	+	0.517602i	0.0204456	+	0.999791i	$0.493491\pi$
$774$	−5.26372	−	13.1707i	−0.189200	−	0.473411i
$775$	−25.6207	−	44.3763i	−0.920323	−	1.59405i
$776$	−7.15289	−	44.5104i	−0.256774	−	1.59783i
$777$	7.30600	+	11.4829i	0.262101	+	0.411945i
$778$	9.19157	+	6.91549i	0.329534	+	0.247933i
$779$		−	10.4884i		−	0.375787i
$780$	11.6721	+	11.4874i	0.417927	+	0.411315i
$781$	2.81331			0.100668
$782$	−12.2731	+	5.22055i	−0.438886	+	0.186687i
$783$	21.9993	−	11.7523i	0.786190	−	0.419993i
$784$	4.07332	+	27.7021i	0.145476	+	0.989362i
$785$	15.4708	+	26.7963i	0.552178	+	0.956400i
$786$	14.8594	+	36.0271i	0.530018	+	1.28504i
$787$	−5.56484	−	9.63859i	−0.198365	−	0.343579i	0.749633	−	0.661853i	$-0.230230\pi$
$787$	−5.56484	−	9.63859i	−0.198365	−	0.343579i	−0.947999	+	0.318275i	$0.896897\pi$
$788$	7.90537	+	27.4134i	0.281617	+	0.976561i
$789$	8.66505	−	14.6347i	0.308484	−	0.521007i
$790$	21.2294	−	9.03021i	0.755307	−	0.321280i
$791$	0.388857	+	7.18909i	0.0138262	+	0.255615i
$792$	0.631964	+	4.57153i	0.0224559	+	0.162442i
$793$	−1.21550	−	2.10531i	−0.0431638	−	0.0747619i
$794$	38.4493	+	4.69159i	1.36452	+	0.166498i
$795$	40.2193	+	71.4635i	1.42643	+	2.53455i
$796$	8.34177	+	2.06649i	0.295666	+	0.0732449i
$797$	25.2083	+	14.5540i	0.892923	+	0.515529i	0.874897	−	0.484308i	$-0.160929\pi$
$797$	25.2083	+	14.5540i	0.892923	+	0.515529i	0.0180253	+	0.999838i	$0.494262\pi$
$798$	1.18216	−	15.0539i	0.0418481	−	0.532901i
$799$	43.4029	−	25.0587i	1.53548	−	0.886512i
$800$	−64.3288	−	5.38399i	−2.27437	−	0.190353i
$801$	−22.6054	−	13.7221i	−0.798724	−	0.484846i
$802$	−21.3012	−	16.0265i	−0.752173	−	0.565915i
$803$	−1.75434	+	3.03860i	−0.0619092	+	0.107230i
$804$	−6.55142	−	23.6929i	−0.231051	−	0.835583i
$805$	14.5001	−	9.45107i	0.511060	−	0.333106i
$806$	−4.45533	+	5.92170i	−0.156932	+	0.208583i
$807$	−4.79513	−	8.52021i	−0.168796	−	0.299925i
$808$	−19.5724	−	7.46245i	−0.688555	−	0.262528i
$809$	11.9462	−	20.6915i	0.420007	−	0.727474i	−0.575932	−	0.817497i	$-0.695361\pi$
$809$	11.9462	−	20.6915i	0.420007	−	0.727474i	0.995940	+	0.0900232i	$0.0286941\pi$
$810$	−18.0790	−	48.2890i	−0.635231	−	1.69670i
$811$	−20.7873			−0.729940			−0.364970	−	0.931019i	$-0.618921\pi$
$811$	−20.7873			−0.729940			−0.364970	+	0.931019i	$0.618921\pi$
$812$	−4.76701	+	24.9479i	−0.167289	+	0.875501i
$813$	0.431107	−	39.2418i	0.0151196	−	1.37627i
$814$	−2.26757	−	0.276690i	−0.0794785	−	0.00969796i
$815$	30.6615	+	53.1073i	1.07403	+	1.86027i
$816$	−35.5731	−	19.2799i	−1.24531	−	0.674932i
$817$	−6.74588	−	3.89473i	−0.236008	−	0.136259i
$818$	−26.7880	−	3.26867i	−0.936621	−	0.114286i
$819$	−4.88609	−	7.86902i	−0.170734	−	0.274966i
$820$	35.4017	+	8.77000i	1.23628	+	0.306262i
$821$	2.89057	−	5.00661i	0.100881	−	0.174732i	−0.811167	−	0.584815i	$-0.801167\pi$
$821$	2.89057	−	5.00661i	0.100881	−	0.174732i	0.912048	+	0.410083i	$0.134500\pi$
$822$	11.7300	+	28.4398i	0.409132	+	0.991953i
$823$	−16.5191	+	9.53730i	−0.575819	+	0.332449i	−0.759470	−	0.650542i	$-0.774542\pi$
$823$	−16.5191	+	9.53730i	−0.575819	+	0.332449i	0.183651	+	0.982992i	$0.441208\pi$
$824$	6.51004	−	17.0744i	0.226788	−	0.594817i
$825$	−5.47699	+	9.25025i	−0.190684	+	0.322052i
$826$	21.2283	+	43.2573i	0.738626	+	1.50511i
$827$			14.6270i			0.508631i	0.967121	+	0.254315i	$0.0818501\pi$
$827$			14.6270i			0.508631i	−0.967121	+	0.254315i	$0.918150\pi$
$828$	−6.83050	−	6.87176i	−0.237376	−	0.238810i
$829$	3.92858	+	2.26817i	0.136445	+	0.0787767i	0.566669	−	0.823946i	$-0.308232\pi$
$829$	3.92858	+	2.26817i	0.136445	+	0.0787767i	−0.430223	+	0.902722i	$0.641565\pi$
$830$	−31.5042	−	3.84414i	−1.09353	−	0.133432i
$831$	−17.1883	−	10.1770i	−0.596254	−	0.353037i
$832$	2.92502	+	8.86575i	0.101407	+	0.307364i
$833$	−32.9928	+	24.1402i	−1.14313	+	0.836407i
$834$	34.5063	+	4.59571i	1.19486	+	0.159136i
$835$	−13.2283	−	7.63734i	−0.457783	−	0.264301i
$836$	1.82582	+	1.75787i	0.0631475	+	0.0607972i
$837$	20.5798	−	10.9940i	0.711341	−	0.380008i
$838$	33.1101	−	14.0839i	1.14377	−	0.486519i
$839$	−12.4814	−	21.6184i	−0.430906	−	0.746351i	0.566046	−	0.824374i	$-0.308473\pi$
$839$	−12.4814	−	21.6184i	−0.430906	−	0.746351i	−0.996952	+	0.0780231i	$0.975139\pi$
$840$	49.8230	+	16.5776i	1.71906	+	0.571982i
$841$	2.97992	−	5.16138i	0.102756	−	0.177978i
$842$	3.51120	−	28.7756i	0.121004	−	0.991672i
$843$	0.0238157	−	2.16784i	0.000820256	−	0.0746644i
$844$	−0.0482676	+	0.194841i	−0.00166144	+	0.00670670i
$845$	−40.8311	+	23.5738i	−1.40463	+	0.810964i
$846$	28.6054	+	22.5230i	0.983476	+	0.774355i
$847$	23.7258	−	15.4643i	0.815227	−	0.531361i
$848$	1.77222	+	46.7139i	0.0608582	+	1.60416i
$849$	0.0181039	−	1.64792i	0.000621323	−	0.0565564i
$850$	−36.8922	−	86.7308i	−1.26539	−	2.97484i
$851$	4.15345	−	2.39799i	0.142378	−	0.0822022i
$852$	−17.3444	−	4.49949i	−0.594210	−	0.154150i
$853$	13.2403	−	7.64427i	0.453338	−	0.261735i	−0.255901	−	0.966703i	$-0.582372\pi$
$853$	13.2403	−	7.64427i	0.453338	−	0.261735i	0.709239	+	0.704968i	$0.249039\pi$
$854$	−6.47251	−	4.34291i	−0.221485	−	0.148611i
$855$	−24.2067	−	14.6941i	−0.827852	−	0.502527i
$856$	4.98806	+	31.0392i	0.170488	+	1.06090i
$857$		−	48.5172i		−	1.65732i	−0.559756	−	0.828658i	$-0.689105\pi$
$857$		−	48.5172i		−	1.65732i	0.559756	−	0.828658i	$-0.310895\pi$
$858$	1.54108	+	0.205248i	0.0526116	+	0.00700704i
$859$	51.7445			1.76550			0.882751	−	0.469842i	$-0.155689\pi$
$859$	51.7445			1.76550			0.882751	+	0.469842i	$0.155689\pi$
$860$	18.7866	−	19.5128i	0.640616	−	0.665381i
$861$	−18.2919	−	9.53568i	−0.623386	−	0.324975i
$862$	−9.71773	−	22.8457i	−0.330987	−	0.778127i
$863$	38.8024	−	22.4026i	1.32085	−	0.762592i	0.336984	−	0.941510i	$-0.390593\pi$
$863$	38.8024	−	22.4026i	1.32085	−	0.762592i	0.983864	+	0.178919i	$0.0572599\pi$
$864$	3.41538	−	29.1948i	0.116194	−	0.993227i
$865$	−12.6900	+	21.9797i	−0.431472	+	0.747332i
$866$	−12.9245	+	17.1782i	−0.439191	+	0.583740i
$867$	0.325506	−	29.6294i	0.0110547	−	1.00627i
$868$	−4.45942	+	23.3382i	−0.151363	+	0.792149i
$869$	1.09505	−	1.89669i	0.0371471	−	0.0643407i
$870$	37.7449	+	29.0530i	1.27967	+	0.984990i
$871$	−8.28109			−0.280594
$872$	5.97417	+	7.34349i	0.202311	+	0.248682i
$873$	40.8747	+	24.8120i	1.38340	+	0.839760i
$874$	−5.28192	−	0.644501i	−0.178664	−	0.0218006i
$875$	37.5248	+	57.5715i	1.26857	+	1.94627i
$876$	15.6755	−	15.9275i	0.529627	−	0.538142i
$877$	−36.8194			−1.24330			−0.621651	−	0.783294i	$-0.713538\pi$
$877$	−36.8194			−1.24330			−0.621651	+	0.783294i	$0.713538\pi$
$878$	18.9599	−	8.06484i	0.639864	−	0.272175i
$879$	14.0520	+	24.9682i	0.473962	+	0.842157i
$880$	−7.46004	+	4.69286i	−0.251478	+	0.158196i
$881$			50.8325i			1.71259i	0.516486	+	0.856295i	$0.327240\pi$
$881$			50.8325i			1.71259i	−0.516486	+	0.856295i	$0.672760\pi$
$882$	−25.1793	−	15.7481i	−0.847831	−	0.530267i
$883$		−	28.5456i		−	0.960635i	−0.877095	−	0.480317i	$-0.840521\pi$
$883$		−	28.5456i		−	0.960635i	0.877095	−	0.480317i	$-0.159479\pi$
$884$	−9.45387	+	9.81933i	−0.317968	+	0.330260i
$885$	90.3568	+	0.992651i	3.03731	+	0.0333676i
$886$	−13.3006	−	31.2688i	−0.446843	−	1.05050i
$887$	−1.83342			−0.0615601			−0.0307800	−	0.999526i	$-0.509799\pi$
$887$	−1.83342			−0.0615601			−0.0307800	+	0.999526i	$0.509799\pi$
$888$	13.5374	+	5.33249i	0.454284	+	0.178947i
$889$	−20.5307	−	31.4987i	−0.688577	−	1.05643i
$890$	6.11678	−	50.1293i	0.205035	−	1.68034i
$891$	−4.12755	−	2.63133i	−0.138278	−	0.0881528i
$892$	−17.7858	+	18.4733i	−0.595512	+	0.618533i
$893$	19.9950			0.669107
$894$	−3.95346	−	9.58530i	−0.132224	−	0.320580i
$895$	20.2050	−	34.9962i	0.675380	−	1.16979i
$896$	20.9425	+	21.3872i	0.699641	+	0.714495i
$897$	−2.84447	+	1.60085i	−0.0949739	+	0.0534508i
$898$	−40.9011	−	30.7729i	−1.36489	−	1.02691i
$899$	−10.7767	+	18.6659i	−0.359425	+	0.622542i
$900$	48.5608	−	48.2693i	1.61869	−	1.60898i
$901$	−59.1091	+	34.1266i	−1.96921	+	1.13692i
$902$	3.18610	−	1.35525i	0.106086	−	0.0451250i
$903$	−12.9255	+	8.22392i	−0.430135	+	0.273675i
$904$	4.85719	+	5.97049i	0.161548	+	0.198576i
$905$	21.6582			0.719943
$906$	19.7156	−	8.13170i	0.655006	−	0.270158i
$907$			34.1303i			1.13328i	0.823966	+	0.566640i	$0.191757\pi$
$907$			34.1303i			1.13328i	−0.823966	+	0.566640i	$0.808243\pi$
$908$	−10.4102	−	36.0992i	−0.345473	−	1.19799i
$909$	19.4803	−	10.6833i	0.646119	−	0.354344i
$910$	9.85584	−	14.6888i	0.326718	−	0.486928i
$911$	−46.1098	+	26.6215i	−1.52769	+	0.882010i	−0.528228	+	0.849103i	$0.677143\pi$
$911$	−46.1098	+	26.6215i	−1.52769	+	0.882010i	−0.999458	+	0.0329076i	$0.989523\pi$
$912$	−8.44497	−	13.7576i	−0.279641	−	0.455561i
$913$	−2.60930	+	1.50648i	−0.0863551	+	0.0498571i
$914$	26.7717	−	11.3877i	0.885529	−	0.376672i
$915$	−12.7383	+	7.16904i	−0.421115	+	0.237001i
$916$	−34.7624	+	10.0247i	−1.14858	+	0.331224i
$917$	35.2643	−	22.9851i	1.16453	−	0.759034i
$918$	40.0241	−	15.4881i	1.32099	−	0.511183i
$919$	13.4852	−	7.78568i	0.444836	−	0.256826i	−0.260811	−	0.965390i	$-0.583990\pi$
$919$	13.4852	−	7.78568i	0.444836	−	0.256826i	0.705647	+	0.708564i	$0.250657\pi$
$920$	6.59192	−	17.2892i	0.217329	−	0.570009i
$921$	40.3988	+	23.9198i	1.33118	+	0.788183i
$922$	32.5467	+	3.97134i	1.07187	+	0.130789i
$923$	−3.01817	+	5.22762i	−0.0993442	+	0.172069i
$924$	4.72571	−	1.58606i	0.155465	−	0.0521777i
$925$	16.9460	+	29.3513i	0.557180	+	0.965063i
$926$	−7.05938	−	16.5961i	−0.231986	−	0.545381i
$927$	9.31984	+	16.9940i	0.306104	+	0.558158i
$928$	11.5680	+	24.5656i	0.379737	+	0.806405i
$929$	−5.33592	−	3.08070i	−0.175066	−	0.101074i	0.409906	−	0.912128i	$-0.365561\pi$
$929$	−5.33592	−	3.08070i	−0.175066	−	0.101074i	−0.584972	+	0.811053i	$0.698895\pi$
$930$	35.3094	+	27.1784i	1.15784	+	0.891215i
$931$	−16.2149	+	1.75927i	−0.531423	+	0.0576579i
$932$	16.3229	−	16.9539i	0.534676	−	0.555345i
$933$	0.237083	−	21.5806i	0.00776174	−	0.706519i
$934$	3.55762	−	29.1560i	0.116409	−	0.954015i
$935$	−11.1439	−	6.43393i	−0.364444	−	0.210412i
$936$	−9.17268	−	3.73012i	−0.299818	−	0.121923i
$937$			20.3159i			0.663692i	0.943334	+	0.331846i	$0.107671\pi$
$937$			20.3159i			0.663692i	−0.943334	+	0.331846i	$0.892329\pi$
$938$	−23.8360	+	11.6974i	−0.778274	+	0.381934i
$939$	16.1474	+	28.6915i	0.526952	+	0.936313i
$940$	−16.7190	+	67.4893i	−0.545314	+	2.20126i
$941$	−33.1891	+	19.1617i	−1.08193	+	0.624654i	−0.931417	−	0.363954i	$-0.881427\pi$
$941$	−33.1891	+	19.1617i	−1.08193	+	0.624654i	−0.150515	+	0.988608i	$0.548093\pi$
$942$	−14.8255	−	11.4115i	−0.483040	−	0.371806i
$943$	−3.63454	+	6.29521i	−0.118357	+	0.205000i
$944$	45.5553	+	24.0464i	1.48270	+	0.782644i
$945$	−47.6345	+	28.8574i	−1.54955	+	0.938730i
$946$	0.311453	−	2.55247i	0.0101262	−	0.0829880i
$947$	11.4438	+	6.60705i	0.371872	+	0.214700i	0.674276	−	0.738479i	$-0.264456\pi$
$947$	11.4438	+	6.60705i	0.371872	+	0.214700i	−0.302404	+	0.953180i	$0.597789\pi$
$948$	−9.78463	+	9.94193i	−0.317790	+	0.322899i
$949$	−3.76417	−	6.51973i	−0.122190	−	0.211639i
$950$	4.55451	−	37.3259i	0.147768	−	1.21101i
$951$	−31.0016	+	17.4475i	−1.00529	+	0.565774i
$952$	−13.3415	+	41.6176i	−0.432400	+	1.34884i
$953$	11.6066			0.375976			0.187988	−	0.982171i	$-0.439803\pi$
$953$	11.6066			0.375976			0.187988	+	0.982171i	$0.439803\pi$
$954$	−38.9569	−	30.6733i	−1.26128	−	0.993086i
$955$	44.5833	−	77.2206i	1.44268	−	2.49880i
$956$	0.942852	−	3.80599i	0.0304940	−	0.123095i
$957$	4.52150	+	0.0496728i	0.146159	+	0.00160569i
$958$	−20.6067	−	15.5040i	−0.665773	−	0.500910i
$959$	27.8376	−	18.1444i	0.898924	−	0.585914i
$960$	53.4976	−	17.0008i	1.72663	−	0.548698i
$961$	5.41862	−	9.38533i	0.174794	−	0.302753i
$962$	2.94683	−	3.91671i	0.0950097	−	0.126280i
$963$	−28.5039	−	17.3026i	−0.918526	−	0.557569i
$964$	13.1746	−	3.79925i	0.424326	−	0.122366i
$965$	20.4692	−	11.8179i	0.658926	−	0.380431i
$966$	−5.92614	+	8.62577i	−0.190671	+	0.277529i
$967$	40.7431	+	23.5230i	1.31021	+	0.756449i	0.982130	−	0.188201i	$-0.0602657\pi$
$967$	40.7431	+	23.5230i	1.31021	+	0.756449i	0.328078	+	0.944651i	$0.393599\pi$
$968$	10.7861	−	28.2895i	0.346677	−	0.909261i
$969$	12.0081	−	20.2808i	0.385756	−	0.651514i
$970$	−11.0603	+	90.6429i	−0.355123	+	2.91037i
$971$	−17.2692	−	29.9112i	−0.554195	−	0.959895i	−0.997966	−	0.0637540i	$-0.979693\pi$
$971$	−17.2692	−	29.9112i	−0.554195	−	0.959895i	0.443770	−	0.896141i	$-0.353641\pi$
$972$	21.2384	+	22.8239i	0.681222	+	0.732077i
$973$	−2.03082	−	37.5453i	−0.0651051	−	1.20365i
$974$	5.31936	+	12.5054i	0.170443	+	0.400700i
$975$	−11.3128	−	20.1010i	−0.362298	−	0.643748i
$976$	−8.32669	+	0.315896i	−0.266531	+	0.0101116i
$977$	13.6540	+	23.6494i	0.436830	+	0.756611i	0.997443	−	0.0714666i	$-0.0227679\pi$
$977$	13.6540	+	23.6494i	0.436830	+	0.756611i	−0.560613	+	0.828078i	$0.689435\pi$
$978$	−29.3825	−	22.6163i	−0.939547	−	0.723190i
$979$	−2.39710	−	4.15190i	−0.0766117	−	0.132695i
$980$	7.62019	−	56.2015i	0.243418	−	1.79529i
$981$	−10.0385	−	0.220590i	−0.320504	−	0.00704290i
$982$	−0.993609	−	2.33590i	−0.0317073	−	0.0745416i
$983$	19.1321			0.610221			0.305110	−	0.952317i	$-0.401307\pi$
$983$	19.1321			0.610221			0.305110	+	0.952317i	$0.401307\pi$
$984$	−21.8102	+	3.25958i	−0.695285	+	0.103912i
$985$		−	57.7902i		−	1.84135i
$986$	−23.8348	+	31.6795i	−0.759055	+	1.00888i
$987$	18.1787	−	34.8714i	0.578634	−	1.10997i
$988$	−5.22521	+	1.50683i	−0.166236	+	0.0479385i
$989$	2.69928	+	4.67528i	0.0858320	+	0.148665i
$990$	1.33582	−	9.25203i	0.0424553	−	0.294049i
$991$	19.9326	+	11.5081i	0.633179	+	0.365566i	0.781982	−	0.623301i	$-0.214209\pi$
$991$	19.9326	+	11.5081i	0.633179	+	0.365566i	−0.148803	+	0.988867i	$0.547542\pi$
$992$	10.8215	+	22.9805i	0.343584	+	0.729631i
$993$	−9.74665	−	17.3183i	−0.309300	−	0.549580i
$994$	−1.30315	+	19.3103i	−0.0413335	+	0.612486i
$995$	−15.0754	−	8.70376i	−0.477921	−	0.275928i
$996$	18.4960	−	5.11442i	0.586069	−	0.162057i
$997$			60.9745i			1.93108i	0.260252	+	0.965541i	$0.416194\pi$
$997$			60.9745i			1.93108i	−0.260252	+	0.965541i	$0.583806\pi$
$998$	−37.3904	+	49.6966i	−1.18357	+	1.57312i
$999$	−13.6118	+	7.27161i	−0.430658	+	0.230063i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.10	✓	84
3.2	odd	2		756.2.n.b.199.33		84
4.3	odd	2	inner	252.2.n.b.31.38	yes	84
7.5	odd	6		252.2.bj.b.103.20	yes	84
9.2	odd	6		756.2.bj.b.451.23		84
9.7	even	3		252.2.bj.b.115.20	yes	84
12.11	even	2		756.2.n.b.199.5		84
21.5	even	6		756.2.bj.b.523.23		84
28.19	even	6		252.2.bj.b.103.19	yes	84
36.7	odd	6		252.2.bj.b.115.19	yes	84
36.11	even	6		756.2.bj.b.451.24		84
63.47	even	6		756.2.n.b.19.5		84
63.61	odd	6	inner	252.2.n.b.187.38	yes	84
84.47	odd	6		756.2.bj.b.523.24		84
252.47	odd	6		756.2.n.b.19.33		84
252.187	even	6	inner	252.2.n.b.187.10	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.10	✓	84	1.1	even	1	trivial
252.2.n.b.31.38	yes	84	4.3	odd	2	inner
252.2.n.b.187.10	yes	84	252.187	even	6	inner
252.2.n.b.187.38	yes	84	63.61	odd	6	inner
252.2.bj.b.103.19	yes	84	28.19	even	6
252.2.bj.b.103.20	yes	84	7.5	odd	6
252.2.bj.b.115.19	yes	84	36.7	odd	6
252.2.bj.b.115.20	yes	84	9.7	even	3
756.2.n.b.19.5		84	63.47	even	6
756.2.n.b.19.33		84	252.47	odd	6
756.2.n.b.199.5		84	12.11	even	2
756.2.n.b.199.33		84	3.2	odd	2
756.2.bj.b.451.23		84	9.2	odd	6
756.2.bj.b.451.24		84	36.11	even	6
756.2.bj.b.523.23		84	21.5	even	6
756.2.bj.b.523.24		84	84.47	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.13008 - 0.850244i) q^{2} +(-1.49040 - 0.882451i) q^{3} +(0.554170 + 1.92169i) q^{4} -4.05112i q^{5} +(0.933971 + 2.26444i) q^{6} +(2.21649 - 1.44470i) q^{7} +(1.00765 - 2.64285i) q^{8} +(1.44256 + 2.63040i) q^{9} +O(q^{10})\)	\(q+(-1.13008 - 0.850244i) q^{2} +(-1.49040 - 0.882451i) q^{3} +(0.554170 + 1.92169i) q^{4} -4.05112i q^{5} +(0.933971 + 2.26444i) q^{6} +(2.21649 - 1.44470i) q^{7} +(1.00765 - 2.64285i) q^{8} +(1.44256 + 2.63040i) q^{9} +(-3.44444 + 4.57810i) q^{10} +0.543883i q^{11} +(0.869865 - 3.35311i) q^{12} +(-1.01063 - 0.583488i) q^{13} +(-3.73317 - 0.251932i) q^{14} +(-3.57492 + 6.03778i) q^{15} +(-3.38579 + 2.12989i) q^{16} +(-5.05773 - 2.92008i) q^{17} +(0.606273 - 4.19910i) q^{18} +(-1.16501 - 2.01785i) q^{19} +(7.78500 - 2.24501i) q^{20} +(-4.57833 + 0.197227i) q^{21} +(0.462434 - 0.614633i) q^{22} +1.61483i q^{23} +(-3.83398 + 3.04969i) q^{24} -11.4116 q^{25} +(0.645988 + 1.51867i) q^{26} +(0.171215 - 5.19333i) q^{27} +(4.00458 + 3.45881i) q^{28} +(2.40001 + 4.15694i) q^{29} +(9.17353 - 3.78363i) q^{30} +(2.24515 + 3.88871i) q^{31} +(5.63715 + 0.471800i) q^{32} +(0.479950 - 0.810602i) q^{33} +(3.23287 + 7.60024i) q^{34} +(-5.85265 - 8.97929i) q^{35} +(-4.25540 + 4.22985i) q^{36} +(-1.48498 - 2.57206i) q^{37} +(-0.399112 + 3.27088i) q^{38} +(0.991340 + 1.76146i) q^{39} +(-10.7065 - 4.08210i) q^{40} +(3.89836 + 2.25072i) q^{41} +(5.34158 + 3.66981i) q^{42} +(2.89521 - 1.67155i) q^{43} +(-1.04518 + 0.301404i) q^{44} +(10.6561 - 5.84399i) q^{45} +(1.37300 - 1.82490i) q^{46} +(-4.29074 + 7.43179i) q^{47} +(6.92569 - 0.186582i) q^{48} +(2.82569 - 6.40433i) q^{49} +(12.8960 + 9.70263i) q^{50} +(4.96120 + 8.81528i) q^{51} +(0.561221 - 2.26547i) q^{52} +(5.84343 - 10.1211i) q^{53} +(-4.60909 + 5.72331i) q^{54} +2.20334 q^{55} +(-1.58467 - 7.31360i) q^{56} +(-0.0443331 + 4.03546i) q^{57} +(0.822204 - 6.73827i) q^{58} +(-6.43904 - 11.1527i) q^{59} +(-13.5838 - 3.52393i) q^{60} +(1.80408 + 1.04158i) q^{61} +(0.769151 - 6.30348i) q^{62} +(6.99757 + 3.74621i) q^{63} +(-5.96929 - 5.32612i) q^{64} +(-2.36378 + 4.09419i) q^{65} +(-1.23159 + 0.507971i) q^{66} +(6.14549 - 3.54810i) q^{67} +(2.80865 - 11.3376i) q^{68} +(1.42501 - 2.40674i) q^{69} +(-1.02061 + 15.1235i) q^{70} -5.17264i q^{71} +(8.40535 - 1.16195i) q^{72} +(5.58686 + 3.22558i) q^{73} +(-0.508730 + 4.16923i) q^{74} +(17.0078 + 10.0702i) q^{75} +(3.23207 - 3.35702i) q^{76} +(0.785748 + 1.20551i) q^{77} +(0.377375 - 2.83347i) q^{78} +(-3.48731 - 2.01340i) q^{79} +(8.62844 + 13.7162i) q^{80} +(-4.83804 + 7.58903i) q^{81} +(-2.49181 - 5.85806i) q^{82} +(2.76985 + 4.79753i) q^{83} +(-2.91618 - 8.68884i) q^{84} +(-11.8296 + 20.4895i) q^{85} +(-4.69305 - 0.572646i) q^{86} +(0.0913299 - 8.31337i) q^{87} +(1.43740 + 0.548043i) q^{88} +(-7.63381 + 4.40738i) q^{89} +(-17.0111 - 2.45608i) q^{90} +(-3.08302 + 0.166760i) q^{91} +(-3.10321 + 0.894893i) q^{92} +(0.0854368 - 7.77695i) q^{93} +(11.1677 - 4.75035i) q^{94} +(-8.17456 + 4.71958i) q^{95} +(-7.98524 - 5.67767i) q^{96} +(13.8033 - 7.96935i) q^{97} +(-8.63851 + 4.83490i) q^{98} +(-1.43063 + 0.784585i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

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