LMFDB - Embedded newform 273.2.by.c.76.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(76,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 7]))

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

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

chi := DirichletCharacter("273.76");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.by (of order $12$, degree $4$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			76.1
Character	$\chi$	$=$	273.76
Dual form			273.2.by.c.97.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.706652 + 2.63726i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-4.72373 - 2.72725i) q^{4} +(2.18431 - 2.18431i) q^{5} +(0.706652 + 2.63726i) q^{6} +(-1.85732 - 1.88424i) q^{7} +(6.66928 - 6.66928i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.706652 + 2.63726i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-4.72373 - 2.72725i) q^{4} +(2.18431 - 2.18431i) q^{5} +(0.706652 + 2.63726i) q^{6} +(-1.85732 - 1.88424i) q^{7} +(6.66928 - 6.66928i) q^{8} +(0.500000 - 0.866025i) q^{9} +(4.21705 + 7.30414i) q^{10} +(-0.456585 - 0.122342i) q^{11} -5.45450 q^{12} +(2.45314 - 2.64236i) q^{13} +(6.28171 - 3.56673i) q^{14} +(0.799513 - 2.98382i) q^{15} +(7.42128 + 12.8540i) q^{16} +(1.14138 - 1.97693i) q^{17} +(1.93061 + 1.93061i) q^{18} +(1.51851 + 5.66717i) q^{19} +(-16.2753 + 4.36094i) q^{20} +(-2.55061 - 0.703143i) q^{21} +(0.645294 - 1.11768i) q^{22} +(0.481898 - 0.278224i) q^{23} +(2.44113 - 9.11041i) q^{24} -4.54242i q^{25} +(5.23509 + 8.33681i) q^{26} -1.00000i q^{27} +(3.63468 + 13.9660i) q^{28} +(-3.64605 - 6.31515i) q^{29} +(7.30414 + 4.21705i) q^{30} +(-2.74924 + 2.74924i) q^{31} +(-20.9229 + 5.60626i) q^{32} +(-0.456585 + 0.122342i) q^{33} +(4.40713 + 4.40713i) q^{34} +(-8.17273 - 0.0588104i) q^{35} +(-4.72373 + 2.72725i) q^{36} +(-6.41041 - 1.71767i) q^{37} -16.0189 q^{38} +(0.803302 - 3.51493i) q^{39} -29.1356i q^{40} +(1.49535 + 0.400678i) q^{41} +(3.65676 - 6.22973i) q^{42} +(5.08624 + 2.93654i) q^{43} +(1.82313 + 1.82313i) q^{44} +(-0.799513 - 2.98382i) q^{45} +(0.393215 + 1.46750i) q^{46} +(6.55220 + 6.55220i) q^{47} +(12.8540 + 7.42128i) q^{48} +(-0.100738 + 6.99928i) q^{49} +(11.9795 + 3.20991i) q^{50} -2.28277i q^{51} +(-18.7944 + 5.79150i) q^{52} +4.17698 q^{53} +(2.63726 + 0.706652i) q^{54} +(-1.26456 + 0.730092i) q^{55} +(-24.9535 - 0.179564i) q^{56} +(4.14865 + 4.14865i) q^{57} +(19.2312 - 5.15298i) q^{58} +(14.2781 - 3.82579i) q^{59} +(-11.9143 + 11.9143i) q^{60} +(-0.553719 - 0.319690i) q^{61} +(-5.30771 - 9.19322i) q^{62} +(-2.56046 + 0.666364i) q^{63} -29.4556i q^{64} +(-0.413319 - 11.1302i) q^{65} -1.29059i q^{66} +(-2.17304 + 8.10989i) q^{67} +(-10.7832 + 6.22567i) q^{68} +(0.278224 - 0.481898i) q^{69} +(5.93037 - 21.5120i) q^{70} +(-2.13591 + 0.572316i) q^{71} +(-2.44113 - 9.11041i) q^{72} +(2.43968 + 2.43968i) q^{73} +(9.05986 - 15.6921i) q^{74} +(-2.27121 - 3.93385i) q^{75} +(8.28273 - 30.9116i) q^{76} +(0.617503 + 1.08755i) q^{77} +(8.70212 + 4.60234i) q^{78} -11.8014 q^{79} +(44.2876 + 11.8668i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-2.11339 + 3.66049i) q^{82} +(1.80810 - 1.80810i) q^{83} +(10.1307 + 10.2776i) q^{84} +(-1.82510 - 6.81137i) q^{85} +(-11.3386 + 11.3386i) q^{86} +(-6.31515 - 3.64605i) q^{87} +(-3.86103 + 2.22917i) q^{88} +(0.363443 - 1.35639i) q^{89} +8.43409 q^{90} +(-9.53512 + 0.285396i) q^{91} -3.03514 q^{92} +(-1.00629 + 3.75553i) q^{93} +(-21.9100 + 12.6497i) q^{94} +(15.6957 + 9.06194i) q^{95} +(-15.3166 + 15.3166i) q^{96} +(3.25005 + 12.1294i) q^{97} +(-18.3877 - 5.21172i) q^{98} +(-0.334244 + 0.334244i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9	$ 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9} - 2 q^{10} - 4 q^{11} - 32 q^{12} - 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} + 8 q^{17} + 2 q^{18} - 2 q^{19} - 44 q^{20} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 q^{70} - 4 q^{71} + 4 q^{72} - 12 q^{73} - 18 q^{74} - 16 q^{75} + 48 q^{76} - 28 q^{77} - 14 q^{78} - 4 q^{79} + 98 q^{80} - 16 q^{81} - 20 q^{82} + 36 q^{83} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 4 q^{99}+O(q^{100}) $ 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9 - 2 * q^10 - 4 * q^11 - 32 * q^12 - 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 + 8 * q^17 + 2 * q^18 - 2 * q^19 - 44 * q^20 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * q^70 - 4 * q^71 + 4 * q^72 - 12 * q^73 - 18 * q^74 - 16 * q^75 + 48 * q^76 - 28 * q^77 - 14 * q^78 - 4 * q^79 + 98 * q^80 - 16 * q^81 - 20 * q^82 + 36 * q^83 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{7}{12}\right)$	$-1$

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 $

$2$	−0.706652	+	2.63726i	−0.499678	+	1.86482i	0.00239085	+	0.999997i	$0.499239\pi$
$2$	−0.706652	+	2.63726i	−0.499678	+	1.86482i	−0.502069	+	0.864828i	$0.667428\pi$
$3$	0.866025	−	0.500000i	0.500000	−	0.288675i
$3$	0.866025	−	0.500000i	0.500000	−	0.288675i
$4$	−4.72373	−	2.72725i	−2.36187	−	1.36362i
$5$	2.18431	−	2.18431i	0.976853	−	0.976853i	−0.0228851	−	0.999738i	$-0.507285\pi$
$5$	2.18431	−	2.18431i	0.976853	−	0.976853i	0.999738	+	0.0228851i	$0.00728519\pi$
$6$	0.706652	+	2.63726i	0.288489	+	1.07666i
$7$	−1.85732	−	1.88424i	−0.702000	−	0.712177i
$7$	−1.85732	−	1.88424i	−0.702000	−	0.712177i
$8$	6.66928	−	6.66928i	2.35795	−	2.35795i
$9$	0.500000	−	0.866025i	0.166667	−	0.288675i
$10$	4.21705	+	7.30414i	1.33355	+	2.30977i
$11$	−0.456585	−	0.122342i	−0.137666	−	0.0368874i	0.189328	−	0.981914i	$-0.439369\pi$
$11$	−0.456585	−	0.122342i	−0.137666	−	0.0368874i	−0.326994	+	0.945026i	$0.606036\pi$
$12$	−5.45450			−1.57458
$13$	2.45314	−	2.64236i	0.680379	−	0.732860i
$13$	2.45314	−	2.64236i	0.680379	−	0.732860i
$14$	6.28171	−	3.56673i	1.67886	−	0.953248i
$15$	0.799513	−	2.98382i	0.206433	−	0.770420i
$16$	7.42128	+	12.8540i	1.85532	+	3.21351i
$17$	1.14138	−	1.97693i	0.276826	−	0.479477i	−0.693768	−	0.720198i	$-0.744051\pi$
$17$	1.14138	−	1.97693i	0.276826	−	0.479477i	0.970594	+	0.240722i	$0.0773841\pi$
$18$	1.93061	+	1.93061i	0.455049	+	0.455049i
$19$	1.51851	+	5.66717i	0.348371	+	1.30014i	0.888625	+	0.458635i	$0.151661\pi$
$19$	1.51851	+	5.66717i	0.348371	+	1.30014i	−0.540254	+	0.841502i	$0.681672\pi$
$20$	−16.2753	+	4.36094i	−3.63926	+	0.975136i
$21$	−2.55061	−	0.703143i	−0.556588	−	0.153438i
$22$	0.645294	−	1.11768i	0.137577	−	0.238291i
$23$	0.481898	−	0.278224i	0.100483	−	0.0580137i	−0.448917	−	0.893574i	$-0.648190\pi$
$23$	0.481898	−	0.278224i	0.100483	−	0.0580137i	0.549399	+	0.835560i	$0.314857\pi$
$24$	2.44113	−	9.11041i	0.498293	−	1.85966i
$25$		−	4.54242i		−	0.908484i
$26$	5.23509	+	8.33681i	1.02668	+	1.63498i
$27$		−	1.00000i		−	0.192450i
$28$	3.63468	+	13.9660i	0.686890	+	2.63933i
$29$	−3.64605	−	6.31515i	−0.677055	−	1.17269i	−0.975864	−	0.218381i	$-0.929923\pi$
$29$	−3.64605	−	6.31515i	−0.677055	−	1.17269i	0.298809	−	0.954313i	$-0.403411\pi$
$30$	7.30414	+	4.21705i	1.33355	+	0.769924i
$31$	−2.74924	+	2.74924i	−0.493778	+	0.493778i	−0.909494	−	0.415716i	$-0.863531\pi$
$31$	−2.74924	+	2.74924i	−0.493778	+	0.493778i	0.415716	+	0.909494i	$0.363531\pi$
$32$	−20.9229	+	5.60626i	−3.69867	+	0.991057i
$33$	−0.456585	+	0.122342i	−0.0794813	+	0.0212970i
$34$	4.40713	+	4.40713i	0.755816	+	0.755816i
$35$	−8.17273	−	0.0588104i	−1.38144	−	0.00994078i
$36$	−4.72373	+	2.72725i	−0.787289	+	0.454542i
$37$	−6.41041	−	1.71767i	−1.05387	−	0.282382i	−0.310017	−	0.950731i	$-0.600335\pi$
$37$	−6.41041	−	1.71767i	−1.05387	−	0.282382i	−0.743848	+	0.668348i	$0.767002\pi$
$38$	−16.0189			−2.59860
$39$	0.803302	−	3.51493i	0.128631	−	0.562839i
$40$		−	29.1356i		−	4.60674i
$41$	1.49535	+	0.400678i	0.233535	+	0.0625755i	0.373688	−	0.927554i	$-0.378093\pi$
$41$	1.49535	+	0.400678i	0.233535	+	0.0625755i	−0.140154	+	0.990130i	$0.544760\pi$
$42$	3.65676	−	6.22973i	0.564250	−	0.961269i
$43$	5.08624	+	2.93654i	0.775644	+	0.447818i	0.834884	−	0.550426i	$-0.185535\pi$
$43$	5.08624	+	2.93654i	0.775644	+	0.447818i	−0.0592406	+	0.998244i	$0.518868\pi$
$44$	1.82313	+	1.82313i	0.274848	+	0.274848i
$45$	−0.799513	−	2.98382i	−0.119184	−	0.444802i
$46$	0.393215	+	1.46750i	0.0579763	+	0.216371i
$47$	6.55220	+	6.55220i	0.955736	+	0.955736i	0.999061	−	0.0433248i	$-0.0137950\pi$
$47$	6.55220	+	6.55220i	0.955736	+	0.955736i	−0.0433248	+	0.999061i	$0.513795\pi$
$48$	12.8540	+	7.42128i	1.85532	+	1.07117i
$49$	−0.100738	+	6.99928i	−0.0143911	+	0.999896i
$50$	11.9795	+	3.20991i	1.69416	+	0.453949i
$51$		−	2.28277i		−	0.319651i
$52$	−18.7944	+	5.79150i	−2.60631	+	0.803136i
$53$	4.17698			0.573753			0.286876	−	0.957968i	$-0.407383\pi$
$53$	4.17698			0.573753			0.286876	+	0.957968i	$0.407383\pi$
$54$	2.63726	+	0.706652i	0.358886	+	0.0961631i
$55$	−1.26456	+	0.730092i	−0.170513	+	0.0984456i
$56$	−24.9535	−	0.179564i	−3.33456	−	0.0239953i
$57$	4.14865	+	4.14865i	0.549503	+	0.549503i
$58$	19.2312	−	5.15298i	2.52518	−	0.676619i
$59$	14.2781	−	3.82579i	1.85884	−	0.498076i	0.858942	−	0.512072i	$-0.171122\pi$
$59$	14.2781	−	3.82579i	1.85884	−	0.498076i	0.999902	+	0.0139966i	$0.00445541\pi$
$60$	−11.9143	+	11.9143i	−1.53813	+	1.53813i
$61$	−0.553719	−	0.319690i	−0.0708965	−	0.0409321i	0.464133	−	0.885766i	$-0.346366\pi$
$61$	−0.553719	−	0.319690i	−0.0708965	−	0.0409321i	−0.535029	+	0.844834i	$0.679699\pi$
$62$	−5.30771	−	9.19322i	−0.674079	−	1.16754i
$63$	−2.56046	+	0.666364i	−0.322588	+	0.0839539i
$64$		−	29.4556i		−	3.68195i
$65$	−0.413319	−	11.1302i	−0.0512659	−	1.38053i
$66$		−	1.29059i		−	0.158860i
$67$	−2.17304	+	8.10989i	−0.265479	+	0.990780i	0.696478	+	0.717578i	$0.254749\pi$
$67$	−2.17304	+	8.10989i	−0.265479	+	0.990780i	−0.961957	+	0.273202i	$0.911917\pi$
$68$	−10.7832	+	6.22567i	−1.30765	+	0.754973i
$69$	0.278224	−	0.481898i	0.0334942	−	0.0580137i
$70$	5.93037	−	21.5120i	0.708815	−	2.57118i
$71$	−2.13591	+	0.572316i	−0.253486	+	0.0679214i	−0.383324	−	0.923614i	$-0.625221\pi$
$71$	−2.13591	+	0.572316i	−0.253486	+	0.0679214i	0.129838	+	0.991535i	$0.458554\pi$
$72$	−2.44113	−	9.11041i	−0.287690	−	1.07367i
$73$	2.43968	+	2.43968i	0.285543	+	0.285543i	0.835315	−	0.549772i	$-0.185285\pi$
$73$	2.43968	+	2.43968i	0.285543	+	0.285543i	−0.549772	+	0.835315i	$0.685285\pi$
$74$	9.05986	−	15.6921i	1.05319	−	1.82417i
$75$	−2.27121	−	3.93385i	−0.262257	−	0.454242i
$76$	8.28273	−	30.9116i	0.950094	−	3.54580i
$77$	0.617503	+	1.08755i	0.0703710	+	0.123937i
$78$	8.70212	+	4.60234i	0.985321	+	0.521113i
$79$	−11.8014			−1.32776			−0.663878	−	0.747841i	$-0.731091\pi$
$79$	−11.8014			−1.32776			−0.663878	+	0.747841i	$0.731091\pi$
$80$	44.2876	+	11.8668i	4.95150	+	1.32675i
$81$	−0.500000	−	0.866025i	−0.0555556	−	0.0962250i
$82$	−2.11339	+	3.66049i	−0.233384	+	0.404234i
$83$	1.80810	−	1.80810i	0.198465	−	0.198465i	−0.600877	−	0.799342i	$-0.705182\pi$
$83$	1.80810	−	1.80810i	0.198465	−	0.198465i	0.799342	+	0.600877i	$0.205182\pi$
$84$	10.1307	+	10.2776i	1.10535	+	1.12138i
$85$	−1.82510	−	6.81137i	−0.197960	−	0.738796i
$86$	−11.3386	+	11.3386i	−1.22267	+	1.22267i
$87$	−6.31515	−	3.64605i	−0.677055	−	0.390898i
$88$	−3.86103	+	2.22917i	−0.411587	+	0.237630i
$89$	0.363443	−	1.35639i	0.0385248	−	0.143777i	−0.943985	−	0.329990i	$-0.892955\pi$
$89$	0.363443	−	1.35639i	0.0385248	−	0.143777i	0.982509	+	0.186213i	$0.0596214\pi$
$90$	8.43409			0.889032
$91$	−9.53512	+	0.285396i	−0.999552	+	0.0299177i
$92$	−3.03514			−0.316436
$93$	−1.00629	+	3.75553i	−0.104348	+	0.389431i
$94$	−21.9100	+	12.6497i	−2.25984	+	1.30472i
$95$	15.6957	+	9.06194i	1.61035	+	0.929736i
$96$	−15.3166	+	15.3166i	−1.56324	+	1.56324i
$97$	3.25005	+	12.1294i	0.329993	+	1.23155i	0.909197	+	0.416367i	$0.136697\pi$
$97$	3.25005	+	12.1294i	0.329993	+	1.23155i	−0.579204	+	0.815183i	$0.696636\pi$
$98$	−18.3877	−	5.21172i	−1.85744	−	0.526463i
$99$	−0.334244	+	0.334244i	−0.0335928	+	0.0335928i
$100$	−12.3883	+	21.4572i	−1.23883	+	2.14572i
$101$	−3.23413	−	5.60168i	−0.321808	−	0.557388i	0.659053	−	0.752096i	$-0.270957\pi$
$101$	−3.23413	−	5.60168i	−0.321808	−	0.557388i	−0.980861	+	0.194708i	$0.937624\pi$
$102$	6.02025	+	1.61312i	0.596093	+	0.159723i
$103$	−8.52900			−0.840388			−0.420194	−	0.907434i	$-0.638038\pi$
$103$	−8.52900			−0.840388			−0.420194	+	0.907434i	$0.638038\pi$
$104$	−1.26197	−	33.9834i	−0.123747	−	3.33235i
$105$	−7.10719	+	4.03543i	−0.693591	+	0.393818i
$106$	−2.95167	+	11.0158i	−0.286692	+	1.06995i
$107$	2.34420	+	4.06027i	0.226622	+	0.392521i	0.956805	−	0.290731i	$-0.0938984\pi$
$107$	2.34420	+	4.06027i	0.226622	+	0.392521i	−0.730183	+	0.683252i	$0.760565\pi$
$108$	−2.72725	+	4.72373i	−0.262430	+	0.454542i
$109$	3.66100	+	3.66100i	0.350661	+	0.350661i	0.860355	−	0.509695i	$-0.170242\pi$
$109$	3.66100	+	3.66100i	0.350661	+	0.350661i	−0.509695	+	0.860355i	$0.670242\pi$
$110$	−1.03184	−	3.85088i	−0.0983822	−	0.367167i
$111$	−6.41041	+	1.71767i	−0.608450	+	0.163034i
$112$	10.4364	−	37.8575i	0.986150	−	3.57720i
$113$	−4.41169	+	7.64128i	−0.415017	+	0.718831i	−0.995430	−	0.0954914i	$-0.969558\pi$
$113$	−4.41169	+	7.64128i	−0.415017	+	0.718831i	0.580413	+	0.814322i	$0.302891\pi$
$114$	−13.8727	+	8.00943i	−1.29930	+	0.750151i
$115$	0.444887	−	1.66034i	0.0414859	−	0.154828i
$116$			39.7748i			3.69300i
$117$	−1.06178	−	3.44567i	−0.0981619	−	0.318552i
$118$			40.3584i			3.71530i
$119$	−5.84493	+	1.52115i	−0.535804	+	0.139444i
$120$	−14.5678	−	25.2321i	−1.32985	−	2.30337i
$121$	−9.33278	−	5.38828i	−0.848434	−	0.489844i
$122$	1.23439	−	1.23439i	0.111757	−	0.111757i
$123$	1.49535	−	0.400678i	0.134831	−	0.0361280i
$124$	20.4845	−	5.48882i	1.83957	−	0.492910i
$125$	0.999502	+	0.999502i	0.0893982	+	0.0893982i
$126$	0.0519798	−	7.22349i	0.00463073	−	0.643520i
$127$	8.32452	−	4.80617i	0.738682	−	0.426478i	−0.0829079	−	0.996557i	$-0.526421\pi$
$127$	8.32452	−	4.80617i	0.738682	−	0.426478i	0.821590	+	0.570079i	$0.193087\pi$
$128$	35.8364	+	9.60232i	3.16752	+	0.848734i
$129$	5.87308			0.517096
$130$	29.6452	+	6.77512i	2.60006	+	0.594218i
$131$		−	15.6056i		−	1.36346i	−0.731602	−	0.681732i	$-0.761227\pi$
$131$		−	15.6056i		−	1.36346i	0.731602	−	0.681732i	$-0.238773\pi$
$132$	2.49044	+	0.667313i	0.216765	+	0.0580821i
$133$	7.85795	−	13.3870i	0.681371	−	1.16080i
$134$	−19.8523	−	11.4617i	−1.71498	−	0.990143i
$135$	−2.18431	−	2.18431i	−0.187995	−	0.187995i
$136$	−5.57252	−	20.7969i	−0.477840	−	1.78332i
$137$	5.03398	+	18.7871i	0.430082	+	1.60509i	0.752569	+	0.658513i	$0.228814\pi$
$137$	5.03398	+	18.7871i	0.430082	+	1.60509i	−0.322488	+	0.946574i	$0.604519\pi$
$138$	1.07428	+	1.07428i	0.0914490	+	0.0914490i
$139$	−4.85118	−	2.80083i	−0.411472	−	0.237564i	0.279950	−	0.960015i	$-0.409682\pi$
$139$	−4.85118	−	2.80083i	−0.411472	−	0.237564i	−0.691422	+	0.722451i	$0.743015\pi$
$140$	38.4454	+	22.5669i	3.24923	+	1.90725i
$141$	8.95047	+	2.39827i	0.753765	+	0.201971i
$142$		−	6.03739i		−	0.506646i
$143$	−1.44334	+	0.906344i	−0.120698	+	0.0757923i
$144$	14.8426			1.23688
$145$	−21.7583	−	5.83013i	−1.80693	−	0.484166i
$146$	−8.15808	+	4.71007i	−0.675168	+	0.389808i
$147$	3.41240	+	6.11192i	0.281450	+	0.504103i
$148$	25.5966	+	25.5966i	2.10403	+	2.10403i
$149$	−19.1586	+	5.13354i	−1.56954	+	0.420556i	−0.935667	−	0.352885i	$-0.885201\pi$
$149$	−19.1586	+	5.13354i	−1.56954	+	0.420556i	−0.633869	+	0.773440i	$0.718534\pi$
$150$	11.9795	−	3.20991i	0.978125	−	0.262088i
$151$	0.637052	−	0.637052i	0.0518426	−	0.0518426i	−0.680710	−	0.732553i	$-0.738329\pi$
$151$	0.637052	−	0.637052i	0.0518426	−	0.0518426i	0.732553	+	0.680710i	$0.238329\pi$
$152$	47.9233	+	27.6686i	3.88710	+	2.24422i
$153$	−1.14138	−	1.97693i	−0.0922753	−	0.159826i
$154$	−3.30450	+	0.860001i	−0.266284	+	0.0693008i
$155$			12.0104i			0.964697i
$156$	−13.3807	+	14.4128i	−1.07131	+	1.15395i
$157$		−	0.106383i		−	0.00849030i	−0.999991	−	0.00424515i	$-0.998649\pi$
$157$		−	0.106383i		−	0.00849030i	0.999991	−	0.00424515i	$-0.00135128\pi$
$158$	8.33945	−	31.1232i	0.663451	−	2.47603i
$159$	3.61738	−	2.08849i	0.286876	−	0.165628i
$160$	−33.4562	+	57.9478i	−2.64494	+	4.58118i
$161$	−1.41928	−	0.391262i	−0.111855	−	0.0308358i
$162$	2.63726	−	0.706652i	0.207203	−	0.0555198i
$163$	3.70956	+	13.8443i	0.290555	+	1.08437i	0.944684	+	0.327983i	$0.106369\pi$
$163$	3.70956	+	13.8443i	0.290555	+	1.08437i	−0.654128	+	0.756383i	$0.726964\pi$
$164$	−5.97090	−	5.97090i	−0.466249	−	0.466249i
$165$	−0.730092	+	1.26456i	−0.0568376	+	0.0984456i
$166$	3.49074	+	6.04613i	0.270934	+	0.469271i
$167$	−3.66050	+	13.6612i	−0.283258	+	1.05713i	0.666845	+	0.745196i	$0.267644\pi$
$167$	−3.66050	+	13.6612i	−0.283258	+	1.05713i	−0.950103	+	0.311936i	$0.899023\pi$
$168$	−21.7002	+	12.3213i	−1.67420	+	0.950606i
$169$	−0.964180	−	12.9642i	−0.0741677	−	0.997246i
$170$	19.2531			1.47664
$171$	5.66717	+	1.51851i	0.433379	+	0.116124i
$172$	−16.0173	−	27.7429i	−1.22131	−	2.11537i
$173$	−0.208401	+	0.360961i	−0.0158444	+	0.0274434i	−0.873839	−	0.486216i	$-0.838377\pi$
$173$	−0.208401	+	0.360961i	−0.0158444	+	0.0274434i	0.857994	+	0.513659i	$0.171710\pi$
$174$	14.0782	−	14.0782i	1.06727	−	1.06727i
$175$	−8.55902	+	8.43671i	−0.647001	+	0.637756i
$176$	−1.81586	−	6.77690i	−0.136876	−	0.510828i
$177$	10.4523	−	10.4523i	0.785640	−	0.785640i
$178$	3.32032	+	1.91699i	0.248868	+	0.143684i
$179$	8.99794	−	5.19496i	0.672537	−	0.388290i	−0.124500	−	0.992220i	$-0.539733\pi$
$179$	8.99794	−	5.19496i	0.672537	−	0.388290i	0.797037	+	0.603930i	$0.206399\pi$
$180$	−4.36094	+	16.2753i	−0.325045	+	1.21309i
$181$	21.4482			1.59423			0.797117	−	0.603825i	$-0.206357\pi$
$181$	21.4482			1.59423			0.797117	+	0.603825i	$0.206357\pi$
$182$	5.98535	−	25.3483i	0.443663	−	1.87894i
$183$	−0.639380			−0.0472643
$184$	1.35836	−	5.06947i	0.100140	−	0.373726i
$185$	−17.7542	+	10.2504i	−1.30532	+	0.753626i
$186$	−9.19322	−	5.30771i	−0.674079	−	0.389180i
$187$	−0.763000	+	0.763000i	−0.0557961	+	0.0557961i
$188$	−13.0814	−	48.8203i	−0.954057	−	3.56059i
$189$	−1.88424	+	1.85732i	−0.137058	+	0.135100i
$190$	−34.9901	+	34.9901i	−2.53845	+	2.53845i
$191$	0.111216	−	0.192631i	0.00804729	−	0.0139383i	−0.861974	−	0.506953i	$-0.830772\pi$
$191$	0.111216	−	0.192631i	0.00804729	−	0.0139383i	0.870021	+	0.493015i	$0.164105\pi$
$192$	−14.7278	−	25.5093i	−1.06289	−	1.84098i
$193$	−1.98209	−	0.531099i	−0.142674	−	0.0382293i	0.186775	−	0.982403i	$-0.440196\pi$
$193$	−1.98209	−	0.531099i	−0.142674	−	0.0382293i	−0.329449	+	0.944173i	$0.606863\pi$
$194$	−34.2849			−2.46152
$195$	−5.92303	−	9.43235i	−0.424157	−	0.675464i
$196$	19.5646	−	32.7880i	1.39747	−	2.34200i
$197$	3.40878	−	12.7217i	0.242865	−	0.906386i	−0.731579	−	0.681757i	$-0.761216\pi$
$197$	3.40878	−	12.7217i	0.242865	−	0.906386i	0.974444	−	0.224629i	$-0.0721171\pi$
$198$	−0.645294	−	1.11768i	−0.0458590	−	0.0794302i
$199$	1.49318	−	2.58626i	0.105849	−	0.183335i	−0.808236	−	0.588859i	$-0.799577\pi$
$199$	1.49318	−	2.58626i	0.105849	−	0.183335i	0.914085	+	0.405523i	$0.132911\pi$
$200$	−30.2947	−	30.2947i	−2.14216	−	2.14216i
$201$	2.17304	+	8.10989i	0.153274	+	0.572027i
$202$	17.0585	−	4.57081i	1.20023	−	0.321601i
$203$	−5.12739	+	18.5993i	−0.359872	+	1.30541i
$204$	−6.22567	+	10.7832i	−0.435884	+	0.754973i
$205$	4.14152	−	2.39111i	0.289256	−	0.167002i
$206$	6.02704	−	22.4932i	0.419923	−	1.56718i
$207$		−	0.556448i		−	0.0386758i
$208$	52.1705	+	11.9231i	3.61737	+	0.826715i
$209$		−	2.77332i		−	0.191835i
$210$	−5.62017	−	21.5952i	−0.387829	−	1.49021i
$211$	3.61160	+	6.25548i	0.248633	+	0.430645i	0.963147	−	0.268976i	$-0.0866853\pi$
$211$	3.61160	+	6.25548i	0.248633	+	0.430645i	−0.714514	+	0.699621i	$0.753352\pi$
$212$	−19.7310	−	11.3917i	−1.35513	−	0.782384i
$213$	−1.56360	+	1.56360i	−0.107136	+	0.107136i
$214$	−12.3645	+	3.31306i	−0.845222	+	0.226476i
$215$	17.5242	−	4.69560i	1.19514	−	0.320237i
$216$	−6.66928	−	6.66928i	−0.453787	−	0.453787i
$217$	10.2864	+	0.0740206i	0.698290	+	0.00502485i
$218$	−12.2421	+	7.06797i	−0.829138	+	0.478703i
$219$	3.33267	+	0.892986i	0.225201	+	0.0603424i
$220$	7.96457			0.536971
$221$	−2.42380	−	7.86565i	−0.163043	−	0.529101i
$222$		−	18.1197i		−	1.21612i
$223$	−18.5687	−	4.97547i	−1.24345	−	0.333182i	−0.423649	−	0.905827i	$-0.639251\pi$
$223$	−18.5687	−	4.97547i	−1.24345	−	0.333182i	−0.819804	+	0.572644i	$0.805918\pi$
$224$	49.4240	+	29.0111i	3.30228	+	1.93839i
$225$	−3.93385	−	2.27121i	−0.262257	−	0.151414i
$226$	−17.0345	−	17.0345i	−1.13312	−	1.13312i
$227$	3.99587	+	14.9128i	0.265215	+	0.989797i	0.962118	+	0.272632i	$0.0878941\pi$
$227$	3.99587	+	14.9128i	0.265215	+	0.989797i	−0.696903	+	0.717165i	$0.745439\pi$
$228$	−8.28273	−	30.9116i	−0.548537	−	2.04717i
$229$	8.38486	+	8.38486i	0.554087	+	0.554087i	0.927618	−	0.373531i	$-0.121853\pi$
$229$	8.38486	+	8.38486i	0.554087	+	0.554087i	−0.373531	+	0.927618i	$0.621853\pi$
$230$	4.06437	+	2.34657i	0.267997	+	0.154728i
$231$	1.07855	+	0.633090i	0.0709631	+	0.0416543i
$232$	−66.4341	−	17.8010i	−4.36161	−	1.16869i
$233$		−	19.9540i		−	1.30723i	−0.756828	−	0.653614i	$-0.773252\pi$
$233$		−	19.9540i		−	1.30723i	0.756828	−	0.653614i	$-0.226748\pi$
$234$	9.83743	−	0.365313i	0.643093	−	0.0238812i
$235$	28.6241			1.86723
$236$	−77.8796	−	20.8678i	−5.06953	−	1.35838i
$237$	−10.2203	+	5.90068i	−0.663878	+	0.383290i
$238$	0.118658	−	16.4895i	0.00769143	−	1.06886i
$239$	−5.27726	−	5.27726i	−0.341357	−	0.341357i	0.515520	−	0.856877i	$-0.327599\pi$
$239$	−5.27726	−	5.27726i	−0.341357	−	0.341357i	−0.856877	+	0.515520i	$0.827599\pi$
$240$	44.2876	−	11.8668i	2.85875	−	0.766000i
$241$	−8.35123	+	2.23771i	−0.537950	+	0.144143i	−0.517557	−	0.855649i	$-0.673158\pi$
$241$	−8.35123	+	2.23771i	−0.537950	+	0.144143i	−0.0203932	+	0.999792i	$0.506492\pi$
$242$	20.8053	−	20.8053i	1.33742	−	1.33742i
$243$	−0.866025	−	0.500000i	−0.0555556	−	0.0320750i
$244$	1.74375	+	3.02026i	0.111632	+	0.193352i
$245$	15.0685	+	15.5086i	0.962694	+	0.990810i
$246$			4.22677i			0.269489i
$247$	18.6998	+	9.88990i	1.18984	+	0.629280i
$248$			36.6709i			2.32861i
$249$	0.661811	−	2.46991i	0.0419406	−	0.156524i
$250$	−3.34225	+	1.92965i	−0.211382	+	0.122042i
$251$	−8.48610	+	14.6984i	−0.535638	+	0.927752i	0.463494	+	0.886100i	$0.346595\pi$
$251$	−8.48610	+	14.6984i	−0.535638	+	0.927752i	−0.999132	+	0.0416520i	$0.986738\pi$
$252$	13.9123	+	3.83529i	0.876391	+	0.241601i
$253$	−0.254066	+	0.0680768i	−0.0159730	+	0.00427995i
$254$	6.79257	+	25.3502i	0.426204	+	1.59061i
$255$	−4.98627	−	4.98627i	−0.312252	−	0.312252i
$256$	−21.1921	+	36.7057i	−1.32450	+	2.29411i
$257$	−3.36830	−	5.83406i	−0.210109	−	0.363919i	0.741640	−	0.670798i	$-0.234048\pi$
$257$	−3.36830	−	5.83406i	−0.210109	−	0.363919i	−0.951748	+	0.306880i	$0.900715\pi$
$258$	−4.15022	+	15.4888i	−0.258381	+	0.964293i
$259$	8.66968	+	15.2690i	0.538708	+	0.948771i
$260$	−28.4023	+	53.7032i	−1.76144	+	3.33053i
$261$	−7.29211			−0.451370
$262$	41.1559	+	11.0277i	2.54262	+	0.681294i
$263$	−2.64276	−	4.57739i	−0.162960	−	0.282254i	0.772969	−	0.634443i	$-0.218771\pi$
$263$	−2.64276	−	4.57739i	−0.162960	−	0.282254i	−0.935929	+	0.352189i	$0.885437\pi$
$264$	−2.22917	+	3.86103i	−0.137196	+	0.237630i
$265$	9.12383	−	9.12383i	0.560472	−	0.560472i
$266$	29.7521	+	30.1834i	1.82422	+	1.85066i
$267$	−0.363443	−	1.35639i	−0.0222423	−	0.0830095i
$268$	32.3825	−	32.3825i	1.97808	−	1.97808i
$269$	−2.83734	−	1.63814i	−0.172995	−	0.0998789i	0.411002	−	0.911634i	$-0.365179\pi$
$269$	−2.83734	−	1.63814i	−0.172995	−	0.0998789i	−0.583997	+	0.811755i	$0.698512\pi$
$270$	7.30414	−	4.21705i	0.444516	−	0.256641i
$271$	−3.01677	+	11.2587i	−0.183256	+	0.683919i	0.811742	+	0.584017i	$0.198520\pi$
$271$	−3.01677	+	11.2587i	−0.183256	+	0.683919i	−0.994997	+	0.0999024i	$0.968147\pi$
$272$	33.8821			2.05440
$273$	−8.11496	+	5.01472i	−0.491140	+	0.303505i
$274$	−53.1036			−3.20811
$275$	−0.555727	+	2.07400i	−0.0335116	+	0.125067i
$276$	−2.62851	+	1.51757i	−0.158218	+	0.0913471i
$277$	3.66204	+	2.11428i	0.220031	+	0.127035i	0.605964	−	0.795492i	$-0.292787\pi$
$277$	3.66204	+	2.11428i	0.220031	+	0.127035i	−0.385934	+	0.922526i	$0.626121\pi$
$278$	10.8146	−	10.8146i	0.648618	−	0.648618i
$279$	1.00629	+	3.75553i	0.0602451	+	0.224838i
$280$	−54.8985	+	54.1140i	−3.28081	+	3.23393i
$281$	18.2360	−	18.2360i	1.08787	−	1.08787i	0.0921208	−	0.995748i	$-0.470635\pi$
$281$	18.2360	−	18.2360i	1.08787	−	1.08787i	0.995748	−	0.0921208i	$-0.0293646\pi$
$282$	−12.6497	+	21.9100i	−0.753280	+	1.30472i
$283$	−1.92179	−	3.32864i	−0.114239	−	0.197867i	0.803236	−	0.595660i	$-0.203110\pi$
$283$	−1.92179	−	3.32864i	−0.114239	−	0.197867i	−0.917475	+	0.397793i	$0.869776\pi$
$284$	11.6503	+	3.12170i	0.691320	+	0.185239i
$285$	18.1239			1.07357
$286$	−1.37032	−	4.44693i	−0.0810290	−	0.262953i
$287$	−2.02237	−	3.56179i	−0.119377	−	0.210246i
$288$	−5.60626	+	20.9229i	−0.330352	+	1.23289i
$289$	5.89449	+	10.2096i	0.346735	+	0.600562i
$290$	30.7512	−	53.2626i	1.80577	−	3.12768i
$291$	8.87931	+	8.87931i	0.520514	+	0.520514i
$292$	−4.87079	−	18.1780i	−0.285041	−	1.06379i
$293$	28.6306	−	7.67154i	1.67262	−	0.448176i	0.706802	−	0.707412i	$-0.250137\pi$
$293$	28.6306	−	7.67154i	1.67262	−	0.448176i	0.965814	+	0.259236i	$0.0834707\pi$
$294$	−18.5301	+	4.68038i	−1.08070	+	0.272965i
$295$	22.8310	−	39.5444i	1.32927	−	2.30236i
$296$	−54.2085	+	31.2973i	−3.15080	+	1.81912i
$297$	−0.122342	+	0.456585i	−0.00709899	+	0.0264938i
$298$		−	54.1539i		−	3.13705i
$299$	0.446995	−	1.95587i	0.0258504	−	0.113111i
$300$			24.7766i			1.43048i
$301$	−3.91361	−	15.0378i	−0.225577	−	0.866764i
$302$	1.22990	+	2.13025i	0.0707727	+	0.122582i
$303$	−5.60168	−	3.23413i	−0.321808	−	0.185796i
$304$	−61.5766	+	61.5766i	−3.53166	+	3.53166i
$305$	−1.90780	+	0.511192i	−0.109240	+	0.0292708i
$306$	6.02025	−	1.61312i	0.344155	−	0.0922159i
$307$	−20.2018	−	20.2018i	−1.15298	−	1.15298i	−0.985953	−	0.167023i	$-0.946584\pi$
$307$	−20.2018	−	20.2018i	−1.15298	−	1.15298i	−0.167023	−	0.985953i	$-0.553416\pi$
$308$	0.0490861	−	6.82136i	0.00279694	−	0.388683i
$309$	−7.38633	+	4.26450i	−0.420194	+	0.242599i
$310$	−31.6745	−	8.48716i	−1.79899	−	0.482038i
$311$	24.6309			1.39669			0.698345	−	0.715762i	$-0.253920\pi$
$311$	24.6309			1.39669			0.698345	+	0.715762i	$0.253920\pi$
$312$	−18.0846	−	28.7995i	−1.02384	−	1.63045i
$313$		−	8.19304i		−	0.463098i	−0.972823	−	0.231549i	$-0.925621\pi$
$313$		−	8.19304i		−	0.463098i	0.972823	−	0.231549i	$-0.0743794\pi$
$314$	0.280560	+	0.0751759i	0.0158329	+	0.00424242i
$315$	−4.13729	+	7.04838i	−0.233110	+	0.397131i
$316$	55.7465	+	32.1852i	3.13598	+	1.81056i
$317$	6.24432	+	6.24432i	0.350716	+	0.350716i	0.860376	−	0.509660i	$-0.170229\pi$
$317$	6.24432	+	6.24432i	0.350716	+	0.350716i	−0.509660	+	0.860376i	$0.670229\pi$
$318$	2.95167	+	11.0158i	0.165522	+	0.617735i
$319$	0.892129	+	3.32947i	0.0499496	+	0.186414i
$320$	−64.3402	−	64.3402i	−3.59672	−	3.59672i
$321$	4.06027	+	2.34420i	0.226622	+	0.130840i
$322$	2.03480	−	3.46652i	0.113395	−	0.193182i
$323$	12.9368	+	3.46641i	0.719823	+	0.192876i
$324$			5.45450i			0.303028i
$325$	−12.0027	−	11.1432i	−0.665791	−	0.618113i
$326$	−39.1323			−2.16734
$327$	5.00102	+	1.34002i	0.276557	+	0.0741033i
$328$	12.6452	−	7.30069i	0.698213	−	0.403113i
$329$	0.176412	−	24.5154i	0.00972589	−	1.35158i
$330$	−2.81904	−	2.81904i	−0.155183	−	0.155183i
$331$	−28.6185	+	7.66830i	−1.57301	+	0.421488i	−0.936755	−	0.349987i	$-0.886186\pi$
$331$	−28.6185	+	7.66830i	−1.57301	+	0.421488i	−0.636260	+	0.771475i	$0.719519\pi$
$332$	−13.4721	+	3.60985i	−0.739379	+	0.198116i
$333$	−4.69275	+	4.69275i	−0.257161	+	0.257161i
$334$	−33.4413	−	19.3074i	−1.82983	−	1.05645i
$335$	12.9679	+	22.4611i	0.708513	+	1.22718i
$336$	−9.89054	−	38.0038i	−0.539573	−	2.07328i
$337$			24.6356i			1.34198i	0.741464	+	0.670992i	$0.234132\pi$
$337$			24.6356i			1.34198i	−0.741464	+	0.670992i	$0.765868\pi$
$338$	34.8713	+	6.61838i	1.89675	+	0.359992i
$339$			8.82339i			0.479221i
$340$	−9.95501	+	37.1526i	−0.539886	+	2.01488i
$341$	1.59161	−	0.918916i	0.0861905	−	0.0497621i
$342$	−8.00943	+	13.8727i	−0.433100	+	0.750151i
$343$	13.3754	−	12.8101i	0.722205	−	0.691679i
$344$	53.5062	−	14.3369i	2.88486	−	0.772996i
$345$	−0.444887	−	1.66034i	−0.0239519	−	0.0893898i
$346$	−0.804681	−	0.804681i	−0.0432599	−	0.0432599i
$347$	−6.69623	+	11.5982i	−0.359472	+	0.622624i	−0.987873	−	0.155266i	$-0.950377\pi$
$347$	−6.69623	+	11.5982i	−0.359472	+	0.622624i	0.628401	+	0.777890i	$0.283710\pi$
$348$	19.8874	+	34.4460i	1.06608	+	1.84650i
$349$	2.72247	−	10.1604i	0.145730	−	0.543874i	−0.853991	−	0.520287i	$-0.825825\pi$
$349$	2.72247	−	10.1604i	0.145730	−	0.543874i	0.999722	−	0.0235863i	$-0.00750846\pi$
$350$	−16.2016	−	28.5342i	−0.866010	−	1.52522i
$351$	−2.64236	−	2.45314i	−0.141039	−	0.130939i
$352$	10.2390			0.545738
$353$	14.9904	+	4.01667i	0.797859	+	0.213786i	0.634644	−	0.772805i	$-0.281147\pi$
$353$	14.9904	+	4.01667i	0.797859	+	0.213786i	0.163215	+	0.986590i	$0.447813\pi$
$354$	20.1792	+	34.9514i	1.07251	+	1.85765i
$355$	−3.41538	+	5.91561i	−0.181270	+	0.313968i
$356$	−5.41601	+	5.41601i	−0.287048	+	0.287048i
$357$	−4.30128	+	4.23982i	−0.227648	+	0.224395i
$358$	7.34206	+	27.4009i	0.388040	+	1.44818i
$359$	−7.20920	+	7.20920i	−0.380487	+	0.380487i	−0.871278	−	0.490791i	$-0.836708\pi$
$359$	−7.20920	+	7.20920i	−0.380487	+	0.380487i	0.490791	+	0.871278i	$0.336708\pi$
$360$	−25.2321	−	14.5678i	−1.32985	−	0.767790i
$361$	−13.3564	+	7.71133i	−0.702969	+	0.405859i
$362$	−15.1564	+	56.5645i	−0.796604	+	2.97297i
$363$	−10.7766			−0.565623
$364$	45.8197	+	24.6565i	2.40161	+	1.29235i
$365$	10.6580			0.557868
$366$	0.451819	−	1.68621i	0.0236169	−	0.0881397i
$367$	−13.1818	+	7.61053i	−0.688085	+	0.397266i	−0.802894	−	0.596121i	$-0.796708\pi$
$367$	−13.1818	+	7.61053i	−0.688085	+	0.397266i	0.114809	+	0.993388i	$0.463374\pi$
$368$	7.15260	+	4.12955i	0.372855	+	0.215268i
$369$	1.09467	−	1.09467i	0.0569864	−	0.0569864i
$370$	−14.4870	−	54.0660i	−0.753141	−	2.81076i
$371$	−7.75799	−	7.87045i	−0.402775	−	0.408613i
$372$	14.9957	−	14.9957i	0.777492	−	0.777492i
$373$	16.3260	−	28.2774i	0.845326	−	1.46415i	−0.0400122	−	0.999199i	$-0.512740\pi$
$373$	16.3260	−	28.2774i	0.845326	−	1.46415i	0.885338	−	0.464948i	$-0.153927\pi$
$374$	−1.47305	−	2.55141i	−0.0761698	−	0.131930i
$375$	1.36534	+	0.365843i	0.0705061	+	0.0188921i
$376$	87.3969			4.50715
$377$	−25.6312	−	5.85776i	−1.32007	−	0.301690i
$378$	−3.56673	−	6.28171i	−0.183453	−	0.323097i
$379$	6.47610	−	24.1691i	0.332655	−	1.24149i	−0.573734	−	0.819042i	$-0.694506\pi$
$379$	6.47610	−	24.1691i	0.332655	−	1.24149i	0.906389	−	0.422444i	$-0.138828\pi$
$380$	−49.4284	−	85.6124i	−2.53562	−	4.39183i
$381$	4.80617	−	8.32452i	0.246227	−	0.426478i
$382$	0.429428	+	0.429428i	0.0219714	+	0.0219714i
$383$	4.70967	+	17.5767i	0.240653	+	0.898129i	0.975519	+	0.219917i	$0.0705785\pi$
$383$	4.70967	+	17.5767i	0.240653	+	0.898129i	−0.734866	+	0.678213i	$0.762755\pi$
$384$	35.8364	−	9.60232i	1.82877	−	0.490017i
$385$	3.72435	+	1.02672i	0.189811	+	0.0523264i
$386$	2.80129	−	4.85198i	0.142582	−	0.246959i
$387$	5.08624	−	2.93654i	0.258548	−	0.149273i
$388$	17.7274	−	66.1596i	0.899973	−	3.35874i
$389$			6.12739i			0.310671i	0.987862	+	0.155336i	$0.0496459\pi$
$389$			6.12739i			0.310671i	−0.987862	+	0.155336i	$0.950354\pi$
$390$	29.0611	−	8.95518i	1.47156	−	0.453463i
$391$		−	1.27024i		−	0.0642388i
$392$	46.0083	+	47.3520i	2.32377	+	2.39164i
$393$	−7.80278	−	13.5148i	−0.393598	−	0.681732i
$394$	31.1417	+	17.9797i	1.56890	+	0.905803i
$395$	−25.7778	+	25.7778i	−1.29702	+	1.29702i
$396$	2.49044	−	0.667313i	0.125150	−	0.0335337i
$397$	−12.7566	+	3.41813i	−0.640237	+	0.171551i	−0.564311	−	0.825563i	$-0.690858\pi$
$397$	−12.7566	+	3.41813i	−0.640237	+	0.171551i	−0.0759261	+	0.997113i	$0.524191\pi$
$398$	5.76549	+	5.76549i	0.288998	+	0.288998i
$399$	0.111698	−	15.5224i	0.00559192	−	0.777094i
$400$	58.3884	−	33.7105i	2.91942	−	1.68553i
$401$	−4.95448	−	1.32755i	−0.247415	−	0.0662946i	0.132980	−	0.991119i	$-0.457545\pi$
$401$	−4.95448	−	1.32755i	−0.247415	−	0.0662946i	−0.380395	+	0.924824i	$0.624212\pi$
$402$	−22.9235			−1.14332
$403$	0.520216	+	14.0088i	0.0259138	+	0.697827i
$404$			35.2811i			1.75530i
$405$	−2.98382	−	0.799513i	−0.148267	−	0.0397281i
$406$	−45.4279	−	26.6655i	−2.25455	−	1.32339i
$407$	2.71676	+	1.56852i	0.134665	+	0.0777488i
$408$	−15.2244	−	15.2244i	−0.753721	−	0.753721i
$409$	4.13326	+	15.4255i	0.204377	+	0.762744i	0.989639	+	0.143580i	$0.0458616\pi$
$409$	4.13326	+	15.4255i	0.204377	+	0.762744i	−0.785262	+	0.619164i	$0.787472\pi$
$410$	3.37936	+	12.6119i	0.166895	+	0.622859i
$411$	13.7531	+	13.7531i	0.678389	+	0.678389i
$412$	40.2887	+	23.2607i	1.98488	+	1.14597i
$413$	−33.7276	−	19.7976i	−1.65963	−	0.974176i
$414$	1.46750	+	0.393215i	0.0721236	+	0.0193254i
$415$		−	7.89891i		−	0.387742i
$416$	−36.5130	+	69.0388i	−1.79020	+	3.38491i
$417$	−5.60167			−0.274315
$418$	7.31398	+	1.95977i	0.357738	+	0.0958557i
$419$	−12.6468	+	7.30162i	−0.617836	+	0.356708i	−0.776026	−	0.630701i	$-0.782767\pi$
$419$	−12.6468	+	7.30162i	−0.617836	+	0.356708i	0.158190	+	0.987409i	$0.449434\pi$
$420$	44.5781	+	0.320781i	2.17519	+	0.0156525i
$421$	2.04328	+	2.04328i	0.0995835	+	0.0995835i	0.755143	−	0.655560i	$-0.227567\pi$
$421$	2.04328	+	2.04328i	0.0995835	+	0.0995835i	−0.655560	+	0.755143i	$0.727567\pi$
$422$	−19.0495	+	5.10429i	−0.927314	+	0.248473i
$423$	8.95047	−	2.39827i	0.435187	−	0.116608i
$424$	27.8575	−	27.8575i	1.35288	−	1.35288i
$425$	−8.98005	−	5.18464i	−0.435597	−	0.251492i
$426$	−3.01869	−	5.22853i	−0.146256	−	0.253323i
$427$	0.426059	+	1.63711i	0.0206185	+	0.0792251i
$428$		−	25.5729i		−	1.23611i
$429$	−0.796798	+	1.50659i	−0.0384698	+	0.0727387i
$430$			49.5341i			2.38875i
$431$	2.83206	−	10.5694i	0.136416	−	0.509110i	−0.863572	−	0.504225i	$-0.831778\pi$
$431$	2.83206	−	10.5694i	0.136416	−	0.509110i	0.999988	−	0.00488525i	$-0.00155503\pi$
$432$	12.8540	−	7.42128i	0.618440	−	0.357056i
$433$	17.9201	−	31.0385i	0.861184	−	1.49161i	−0.00960365	−	0.999954i	$-0.503057\pi$
$433$	17.9201	−	31.0385i	0.861184	−	1.49161i	0.870787	−	0.491660i	$-0.163610\pi$
$434$	−7.46415	+	27.0757i	−0.358291	+	1.29968i
$435$	−21.7583	+	5.83013i	−1.04323	+	0.279533i
$436$	−7.30914	−	27.2781i	−0.350044	−	1.30638i
$437$	2.30851	+	2.30851i	0.110431	+	0.110431i
$438$	−4.71007	+	8.15808i	−0.225056	+	0.389808i
$439$	−0.772225	−	1.33753i	−0.0368563	−	0.0638369i	0.847009	−	0.531579i	$-0.178401\pi$
$439$	−0.772225	−	1.33753i	−0.0368563	−	0.0638369i	−0.883865	+	0.467742i	$0.845068\pi$
$440$	−3.56449	+	13.3029i	−0.169931	+	0.634190i
$441$	6.01118	+	3.58688i	0.286247	+	0.170804i
$442$	22.4565	−	0.833923i	1.06815	−	0.0396657i
$443$	−16.1657			−0.768055			−0.384027	−	0.923322i	$-0.625463\pi$
$443$	−16.1657			−0.768055			−0.384027	+	0.923322i	$0.625463\pi$
$444$	34.9656	+	9.36900i	1.65939	+	0.444633i
$445$	−2.16890	−	3.75664i	−0.102816	−	0.178082i
$446$	26.2432	−	45.4546i	1.24265	−	2.15234i
$447$	−14.0251	+	14.0251i	−0.663364	+	0.663364i
$448$	−55.5015	+	54.7084i	−2.62220	+	2.58473i
$449$	−3.96795	−	14.8086i	−0.187259	−	0.698861i	−0.994136	−	0.108140i	$-0.965510\pi$
$449$	−3.96795	−	14.8086i	−0.187259	−	0.698861i	0.806876	−	0.590720i	$-0.201156\pi$
$450$	8.76963	−	8.76963i	0.413404	−	0.413404i
$451$	−0.633736	−	0.365888i	−0.0298415	−	0.0172290i
$452$	41.6793	−	24.0636i	1.96043	−	1.13186i
$453$	0.233177	−	0.870230i	0.0109556	−	0.0408870i
$454$	−42.1526			−1.97832
$455$	−20.2043	+	21.4511i	−0.947191	+	1.00564i
$456$	55.3371			2.59140
$457$	−7.14198	+	26.6542i	−0.334088	+	1.24683i	0.570767	+	0.821112i	$0.306646\pi$
$457$	−7.14198	+	26.6542i	−0.334088	+	1.24683i	−0.904855	+	0.425720i	$0.860021\pi$
$458$	−28.0382	+	16.1879i	−1.31014	+	0.756410i
$459$	−1.97693	−	1.14138i	−0.0922753	−	0.0532752i
$460$	−6.62969	+	6.62969i	−0.309111	+	0.309111i
$461$	0.630674	+	2.35371i	0.0293734	+	0.109623i	0.979056	−	0.203590i	$-0.0652611\pi$
$461$	0.630674	+	2.35371i	0.0293734	+	0.109623i	−0.949683	+	0.313214i	$0.898594\pi$
$462$	−2.43178	+	2.39703i	−0.113137	+	0.111520i
$463$	−15.9059	+	15.9059i	−0.739208	+	0.739208i	−0.972425	−	0.233216i	$-0.925075\pi$
$463$	−15.9059	+	15.9059i	−0.739208	+	0.739208i	0.233216	+	0.972425i	$0.425075\pi$
$464$	54.1167	−	93.7330i	2.51231	−	4.35144i
$465$	6.00519	+	10.4013i	0.278484	+	0.482349i
$466$	52.6238	+	14.1005i	2.43775	+	0.653193i
$467$	6.66294			0.308324			0.154162	−	0.988046i	$-0.450732\pi$
$467$	6.66294			0.308324			0.154162	+	0.988046i	$0.450732\pi$
$468$	−4.38161	+	19.1722i	−0.202540	+	0.886233i
$469$	19.3170	−	10.9681i	0.891977	−	0.506460i
$470$	−20.2272	+	75.4891i	−0.933013	+	3.48205i
$471$	−0.0531916	−	0.0921305i	−0.00245094	−	0.00424515i
$472$	69.7091	−	120.740i	3.20862	−	5.55750i
$473$	−1.96304	−	1.96304i	−0.0902607	−	0.0902607i
$474$	−8.33945	−	31.1232i	−0.383044	−	1.42954i
$475$	25.7426	−	6.89772i	1.18115	−	0.316489i
$476$	31.7585	+	8.75507i	1.45565	+	0.401288i
$477$	2.08849	−	3.61738i	0.0956255	−	0.165628i
$478$	17.6467	−	10.1883i	0.807140	−	0.466003i
$479$	5.91010	−	22.0568i	0.270039	−	1.00780i	−0.689054	−	0.724710i	$-0.741974\pi$
$479$	5.91010	−	22.0568i	0.270039	−	1.00780i	0.959093	−	0.283090i	$-0.0913596\pi$
$480$			66.9124i			3.05412i
$481$	−20.2644	+	12.7250i	−0.923975	+	0.580209i
$482$		−	23.6057i		−	1.07521i
$483$	−1.42476	+	0.370797i	−0.0648289	+	0.0168718i
$484$	29.3904	+	50.9056i	1.33593	+	2.31389i
$485$	33.5934	+	19.3952i	1.52540	+	0.880689i
$486$	1.93061	−	1.93061i	0.0875742	−	0.0875742i
$487$	12.0330	−	3.22424i	0.545269	−	0.146104i	0.0243387	−	0.999704i	$-0.492252\pi$
$487$	12.0330	−	3.22424i	0.545269	−	0.146104i	0.520930	+	0.853600i	$0.325585\pi$
$488$	−5.82501	+	1.56081i	−0.263686	+	0.0706544i
$489$	10.1347	+	10.1347i	0.458307	+	0.458307i
$490$	−51.5485	+	28.7805i	−2.32872	+	1.30017i
$491$	−16.7889	+	9.69310i	−0.757674	+	0.437443i	−0.828460	−	0.560048i	$-0.810783\pi$
$491$	−16.7889	+	9.69310i	−0.757674	+	0.437443i	0.0707859	+	0.997492i	$0.477449\pi$
$492$	−8.15640	−	2.18550i	−0.367719	−	0.0985299i
$493$	−16.6462			−0.749706
$494$	−39.2965	+	42.3276i	−1.76803	+	1.90441i
$495$			1.46018i			0.0656304i
$496$	−55.7417	−	14.9359i	−2.50288	−	0.670644i
$497$	5.04545	+	2.96160i	0.226319	+	0.132846i
$498$	6.04613	+	3.49074i	0.270934	+	0.156424i
$499$	−24.6585	−	24.6585i	−1.10386	−	1.10386i	−0.993940	−	0.109925i	$-0.964939\pi$
$499$	−24.6585	−	24.6585i	−1.10386	−	1.10386i	−0.109925	−	0.993940i	$-0.535061\pi$
$500$	−1.99549	−	7.44727i	−0.0892410	−	0.333052i
$501$	3.66050	+	13.6612i	0.163539	+	0.610335i
$502$	−32.7667	−	32.7667i	−1.46245	−	1.46245i
$503$	−27.3019	−	15.7627i	−1.21733	−	0.702826i	−0.252984	−	0.967470i	$-0.581412\pi$
$503$	−27.3019	−	15.7627i	−1.21733	−	0.702826i	−0.964346	+	0.264644i	$0.914745\pi$
$504$	−12.6323	+	21.5206i	−0.562686	+	0.958604i
$505$	−19.3001	−	5.17146i	−0.858845	−	0.230127i
$506$		−	0.718145i		−	0.0319254i
$507$	−7.31710	−	10.7452i	−0.324964	−	0.477213i
$508$	−52.4305			−2.32623
$509$	3.80510	+	1.01957i	0.168658	+	0.0451918i	0.342160	−	0.939642i	$-0.388842\pi$
$509$	3.80510	+	1.01957i	0.168658	+	0.0451918i	−0.173502	+	0.984834i	$0.555508\pi$
$510$	16.6736	−	9.62653i	0.738321	−	0.426270i
$511$	0.0656861	−	9.12822i	0.00290578	−	0.403809i
$512$	−29.3590	−	29.3590i	−1.29750	−	1.29750i
$513$	5.66717	−	1.51851i	0.250212	−	0.0670440i
$514$	17.7662	−	4.76043i	0.783632	−	0.209973i
$515$	−18.6300	+	18.6300i	−0.820935	+	0.820935i
$516$	−27.7429	−	16.0173i	−1.22131	−	0.705124i
$517$	−2.19003	−	3.79325i	−0.0963175	−	0.166827i
$518$	−46.3948	+	12.0743i	−2.03847	+	0.530515i
$519$			0.416802i			0.0182956i
$520$	−76.9868	−	71.4737i	−3.37609	−	3.13433i
$521$		−	7.46834i		−	0.327194i	−0.986527	−	0.163597i	$-0.947690\pi$
$521$		−	7.46834i		−	0.327194i	0.986527	−	0.163597i	$-0.0523097\pi$
$522$	5.15298	−	19.2312i	0.225540	−	0.841726i
$523$	−10.8561	+	6.26775i	−0.474703	+	0.274070i	−0.718206	−	0.695830i	$-0.755037\pi$
$523$	−10.8561	+	6.26775i	−0.474703	+	0.274070i	0.243504	+	0.969900i	$0.421703\pi$
$524$	−42.5603	+	73.7166i	−1.85925	+	3.22032i
$525$	−3.19397	+	11.5859i	−0.139396	+	0.505651i
$526$	13.9393	−	3.73502i	0.607782	−	0.162855i
$527$	2.29713	+	8.57300i	0.100064	+	0.373446i
$528$	−4.96103	−	4.96103i	−0.215901	−	0.215901i
$529$	−11.3452	+	19.6504i	−0.493269	+	0.854367i
$530$	17.6145	+	30.5093i	0.765127	+	1.32524i
$531$	3.82579	−	14.2781i	0.166025	−	0.619615i
$532$	−73.6285	+	41.8059i	−3.19220	+	1.81252i
$533$	4.72705	−	2.96834i	0.204751	−	0.128573i
$534$	3.83397			0.165912
$535$	13.9893	+	3.74843i	0.604812	+	0.162059i
$536$	39.5945	+	68.5797i	1.71022	+	2.96219i
$537$	5.19496	−	8.99794i	0.224179	−	0.388290i
$538$	6.32520	−	6.32520i	0.272699	−	0.272699i
$539$	0.902299	−	3.18344i	0.0388648	−	0.137121i
$540$	4.36094	+	16.2753i	0.187665	+	0.700375i
$541$	−2.43106	+	2.43106i	−0.104519	+	0.104519i	−0.757433	−	0.652913i	$-0.773547\pi$
$541$	−2.43106	+	2.43106i	−0.104519	+	0.104519i	0.652913	+	0.757433i	$0.273547\pi$
$542$	−27.5604	−	15.9120i	−1.18382	−	0.683479i
$543$	18.5747	−	10.7241i	0.797117	−	0.460216i
$544$	−12.7978	+	47.7620i	−0.548701	+	2.04778i
$545$	15.9935			0.685088
$546$	−7.49067	−	24.9449i	−0.320571	−	1.06754i
$547$	28.6604			1.22543			0.612716	−	0.790303i	$-0.290077\pi$
$547$	28.6604			1.22543			0.612716	+	0.790303i	$0.290077\pi$
$548$	27.4578	−	102.474i	1.17294	−	4.37747i
$549$	−0.553719	+	0.319690i	−0.0236322	+	0.0136440i
$550$	−5.07698	−	2.93119i	−0.216483	−	0.124987i
$551$	30.2524	−	30.2524i	1.28880	−	1.28880i
$552$	−1.35836	−	5.06947i	−0.0578156	−	0.215771i
$553$	21.9189	+	22.2366i	0.932085	+	0.945597i
$554$	−8.16369	+	8.16369i	−0.346842	+	0.346842i
$555$	−10.2504	+	17.7542i	−0.435106	+	0.753626i
$556$	15.2771	+	26.4608i	0.647895	+	1.12219i
$557$	−40.3737	−	10.8181i	−1.71069	−	0.458378i	−0.735097	−	0.677962i	$-0.762863\pi$
$557$	−40.3737	−	10.8181i	−1.71069	−	0.458378i	−0.975594	+	0.219584i	$0.929530\pi$
$558$	−10.6154			−0.449386
$559$	20.2367	−	6.23594i	0.855920	−	0.263752i
$560$	−59.8961	−	105.489i	−2.53107	−	4.45772i
$561$	−0.279277	+	1.04228i	−0.0117911	+	0.0440050i
$562$	35.2066	+	60.9796i	1.48510	+	2.57227i
$563$	−12.8281	+	22.2190i	−0.540641	+	0.936418i	0.458226	+	0.888836i	$0.348485\pi$
$563$	−12.8281	+	22.2190i	−0.540641	+	0.936418i	−0.998867	+	0.0475822i	$0.984848\pi$
$564$	−35.7390	−	35.7390i	−1.50488	−	1.50488i
$565$	7.05441	+	26.3274i	0.296781	+	1.10760i
$566$	10.1365	−	2.71608i	0.426070	−	0.114165i
$567$	−0.703143	+	2.55061i	−0.0295292	+	0.107115i
$568$	−10.4281	+	18.0620i	−0.437552	+	0.757863i
$569$	20.8100	−	12.0147i	0.872401	−	0.503681i	0.00425579	−	0.999991i	$-0.498645\pi$
$569$	20.8100	−	12.0147i	0.872401	−	0.503681i	0.868145	+	0.496310i	$0.165312\pi$
$570$	−12.8073	+	47.7974i	−0.536438	+	2.00201i
$571$			9.57728i			0.400797i	0.979714	+	0.200398i	$0.0642236\pi$
$571$			9.57728i			0.400797i	−0.979714	+	0.200398i	$0.935776\pi$
$572$	9.28978	−	0.344976i	0.388425	−	0.0144242i
$573$		−	0.222431i		−	0.00929220i
$574$	10.8225	−	2.81657i	0.451722	−	0.117561i
$575$	−1.26381	−	2.18898i	−0.0527045	−	0.0912868i
$576$	−25.5093	−	14.7278i	−1.06289	−	0.613658i
$577$	31.4027	−	31.4027i	1.30731	−	1.30731i	0.383966	−	0.923347i	$-0.374558\pi$
$577$	31.4027	−	31.4027i	1.30731	−	1.30731i	0.923347	−	0.383966i	$-0.125442\pi$
$578$	−31.0906	+	8.33071i	−1.29320	+	0.346512i
$579$	−1.98209	+	0.531099i	−0.0823728	+	0.0220717i
$580$	86.8804	+	86.8804i	3.60751	+	3.60751i
$581$	−6.76512	−	0.0486814i	−0.280664	−	0.00201964i
$582$	−29.6916	+	17.1425i	−1.23076	+	0.710578i
$583$	−1.90715	−	0.511019i	−0.0789861	−	0.0211643i
$584$	32.5419			1.34659
$585$	−9.84567	−	5.20714i	−0.407068	−	0.215289i
$586$			80.9274i			3.34308i
$587$	−6.09066	−	1.63199i	−0.251388	−	0.0673593i	0.130924	−	0.991392i	$-0.458206\pi$
$587$	−6.09066	−	1.63199i	−0.251388	−	0.0673593i	−0.382312	+	0.924033i	$0.624872\pi$
$588$	0.549475	−	38.1775i	0.0226600	−	1.57442i
$589$	−19.7552	−	11.4056i	−0.813997	−	0.469961i
$590$	88.1553	+	88.1553i	3.62930	+	3.62930i
$591$	−3.40878	−	12.7217i	−0.140218	−	0.523302i
$592$	−25.4945	−	95.1470i	−1.04782	−	3.91052i
$593$	−27.7021	−	27.7021i	−1.13759	−	1.13759i	−0.988881	−	0.148708i	$-0.952489\pi$
$593$	−27.7021	−	27.7021i	−1.13759	−	1.13759i	−0.148708	−	0.988881i	$-0.547511\pi$
$594$	−1.11768	−	0.645294i	−0.0458590	−	0.0264767i
$595$	−9.44447	+	16.0898i	−0.387186	+	0.659618i
$596$	104.501	+	28.0009i	4.28052	+	1.14696i
$597$		−	2.98636i		−	0.122224i
$598$	4.84227	+	2.56096i	0.198015	+	0.104726i
$599$	3.79502			0.155060			0.0775301	−	0.996990i	$-0.475297\pi$
$599$	3.79502			0.155060			0.0775301	+	0.996990i	$0.475297\pi$
$600$	−41.3833	−	11.0886i	−1.68947	−	0.452691i
$601$	−28.0748	+	16.2090i	−1.14520	+	0.661180i	−0.947712	−	0.319126i	$-0.896611\pi$
$601$	−28.0748	+	16.2090i	−1.14520	+	0.661180i	−0.197485	+	0.980306i	$0.563277\pi$
$602$	42.4241	+	0.305281i	1.72908	+	0.0124423i
$603$	5.93685	+	5.93685i	0.241767	+	0.241767i
$604$	−4.74667	+	1.27187i	−0.193139	+	0.0517515i
$605$	−32.1553	+	8.61600i	−1.30730	+	0.350290i
$606$	12.4877	−	12.4877i	0.507277	−	0.507277i
$607$	−7.81574	−	4.51242i	−0.317231	−	0.183154i	0.332927	−	0.942953i	$-0.391964\pi$
$607$	−7.81574	−	4.51242i	−0.317231	−	0.183154i	−0.650158	+	0.759799i	$0.725297\pi$
$608$	−63.5433	−	110.060i	−2.57702	−	4.46353i
$609$	4.85919	+	18.6712i	0.196904	+	0.756593i
$610$		−	5.39259i		−	0.218340i
$611$	33.3868	−	1.23982i	1.35068	−	0.0501576i
$612$			12.4513i			0.503316i
$613$	−6.48271	+	24.1938i	−0.261834	+	0.977179i	0.702325	+	0.711856i	$0.252145\pi$
$613$	−6.48271	+	24.1938i	−0.261834	+	0.977179i	−0.964160	+	0.265323i	$0.914521\pi$
$614$	67.5530	−	39.0017i	2.72622	−	1.57398i
$615$	2.39111	−	4.14152i	0.0964187	−	0.167002i
$616$	11.3715	+	3.13484i	0.458169	+	0.126306i
$617$	22.1083	−	5.92389i	0.890045	−	0.238487i	0.215309	−	0.976546i	$-0.430924\pi$
$617$	22.1083	−	5.92389i	0.890045	−	0.238487i	0.674736	+	0.738059i	$0.264257\pi$
$618$	−6.02704	−	22.4932i	−0.242443	−	0.904809i
$619$	−27.9275	−	27.9275i	−1.12250	−	1.12250i	−0.991365	−	0.131135i	$-0.958138\pi$
$619$	−27.9275	−	27.9275i	−1.12250	−	1.12250i	−0.131135	−	0.991365i	$-0.541862\pi$
$620$	32.7553	−	56.7339i	1.31549	−	2.27849i
$621$	−0.278224	−	0.481898i	−0.0111647	−	0.0193379i
$622$	−17.4055	+	64.9581i	−0.697895	+	2.60458i
$623$	−3.23079	+	1.83443i	−0.129439	+	0.0734948i
$624$	51.1425	−	15.7596i	2.04734	−	0.630888i
$625$	27.0785			1.08314
$626$	21.6072	+	5.78963i	0.863597	+	0.231400i
$627$	−1.38666	−	2.40177i	−0.0553779	−	0.0959174i
$628$	−0.290133	+	0.502526i	−0.0115776	+	0.0200530i
$629$	−10.7124	+	10.7124i	−0.427133	+	0.427133i
$630$	−15.6648	−	15.8919i	−0.624100	−	0.633148i
$631$	−12.1764	−	45.4430i	−0.484736	−	1.80906i	−0.581248	−	0.813726i	$-0.697435\pi$
$631$	−12.1764	−	45.4430i	−0.484736	−	1.80906i	0.0965126	−	0.995332i	$-0.469231\pi$
$632$	−78.7066	+	78.7066i	−3.13078	+	3.13078i
$633$	6.25548	+	3.61160i	0.248633	+	0.143548i
$634$	−20.8805	+	12.0553i	−0.829269	+	0.478779i
$635$	7.68518	−	28.6815i	0.304977	−	1.13819i
$636$	−22.7834			−0.903419
$637$	18.2475	+	17.4364i	0.722993	+	0.690856i
$638$	−9.41110			−0.372589
$639$	−0.572316	+	2.13591i	−0.0226405	+	0.0844954i
$640$	99.2522	−	57.3033i	3.92329	−	2.26511i
$641$	−2.21029	−	1.27611i	−0.0873011	−	0.0504033i	0.455714	−	0.890126i	$-0.349384\pi$
$641$	−2.21029	−	1.27611i	−0.0873011	−	0.0504033i	−0.543015	+	0.839723i	$0.682717\pi$
$642$	−9.05146	+	9.05146i	−0.357233	+	0.357233i
$643$	7.09734	+	26.4876i	0.279892	+	1.04457i	0.952492	+	0.304564i	$0.0985107\pi$
$643$	7.09734	+	26.4876i	0.279892	+	1.04457i	−0.672600	+	0.740006i	$0.734823\pi$
$644$	5.63723	+	5.71894i	0.222138	+	0.225358i
$645$	12.8286	−	12.8286i	0.505127	−	0.505127i
$646$	−18.2836	+	31.6682i	−0.719360	+	1.24597i
$647$	2.97944	+	5.16054i	0.117134	+	0.202882i	0.918631	−	0.395117i	$-0.129296\pi$
$647$	2.97944	+	5.16054i	0.117134	+	0.202882i	−0.801497	+	0.597999i	$0.795963\pi$
$648$	−9.11041	−	2.44113i	−0.357891	−	0.0958965i
$649$	−6.98721			−0.274272
$650$	37.8693	−	23.7799i	1.48535	−	0.932726i
$651$	8.94534	−	5.07912i	0.350595	−	0.199066i
$652$	20.2338	−	75.5135i	0.792416	−	2.95734i
$653$	−9.88229	−	17.1166i	−0.386724	−	0.669825i	0.605283	−	0.796010i	$-0.293060\pi$
$653$	−9.88229	−	17.1166i	−0.386724	−	0.669825i	−0.992007	+	0.126185i	$0.959727\pi$
$654$	−7.06797	+	12.2421i	−0.276379	+	0.478703i
$655$	−34.0874	−	34.0874i	−1.33190	−	1.33190i
$656$	5.94709	+	22.1949i	0.232195	+	0.866563i
$657$	3.33267	−	0.892986i	0.130020	−	0.0348387i
$658$	64.5289	+	17.7891i	2.51560	+	0.693492i
$659$	0.623376	−	1.07972i	0.0242833	−	0.0420599i	−0.853628	−	0.520882i	$-0.825603\pi$
$659$	0.623376	−	1.07972i	0.0242833	−	0.0420599i	0.877912	+	0.478823i	$0.158936\pi$
$660$	6.89752	−	3.98229i	0.268486	−	0.155010i
$661$	6.22445	−	23.2300i	0.242103	−	0.903541i	−0.732714	−	0.680536i	$-0.761747\pi$
$661$	6.22445	−	23.2300i	0.242103	−	0.903541i	0.974817	−	0.223004i	$-0.0715864\pi$
$662$		−	80.8932i		−	3.14400i
$663$	−6.03190	−	5.59995i	−0.234260	−	0.217484i
$664$		−	24.1175i		−	0.935940i
$665$	−12.0771	−	46.4055i	−0.468330	−	1.79953i
$666$	−9.05986	−	15.6921i	−0.351063	−	0.608058i
$667$	−3.51405	−	2.02884i	−0.136065	−	0.0785569i
$668$	54.5486	−	54.5486i	2.11055	−	2.11055i
$669$	−18.5687	+	4.97547i	−0.717908	+	0.192363i
$670$	−68.3995	+	18.3276i	−2.64250	+	0.708057i
$671$	0.213709	+	0.213709i	0.00825013	+	0.00825013i
$672$	57.3080	+	0.412385i	2.21070	+	0.0159081i
$673$	−43.6649	+	25.2100i	−1.68316	+	0.971772i	−0.723619	+	0.690199i	$0.757523\pi$
$673$	−43.6649	+	25.2100i	−1.68316	+	0.971772i	−0.959540	+	0.281573i	$0.909144\pi$
$674$	−64.9704	−	17.4088i	−2.50257	−	0.670561i
$675$	−4.54242			−0.174838
$676$	−30.8021	+	63.8690i	−1.18469	+	2.45650i
$677$			30.3365i			1.16593i	0.812498	+	0.582964i	$0.198107\pi$
$677$			30.3365i			1.16593i	−0.812498	+	0.582964i	$0.801893\pi$
$678$	−23.2696	−	6.23506i	−0.893662	−	0.239456i
$679$	16.8183	−	28.6520i	0.645426	−	1.09956i
$680$	−57.5991	−	33.2548i	−2.20882	−	1.27526i
$681$	10.9169	+	10.9169i	0.418338	+	0.418338i
$682$	1.29871	+	4.84684i	0.0497301	+	0.185595i
$683$	−6.38263	−	23.8203i	−0.244224	−	0.911458i	−0.973772	−	0.227528i	$-0.926936\pi$
$683$	−6.38263	−	23.8203i	−0.244224	−	0.911458i	0.729547	−	0.683930i	$-0.239731\pi$
$684$	−22.6288	−	22.6288i	−0.865235	−	0.865235i
$685$	52.0325	+	30.0410i	1.98806	+	1.14781i
$686$	24.3317	+	44.3268i	0.928989	+	1.69240i
$687$	11.4539	+	3.06907i	0.436995	+	0.117092i
$688$			87.1715i			3.32338i
$689$	10.2467	−	11.0371i	0.390370	−	0.420481i
$690$	4.69313			0.178664
$691$	−40.1209	−	10.7504i	−1.52627	−	0.408963i	−0.604470	−	0.796628i	$-0.706615\pi$
$691$	−40.1209	−	10.7504i	−1.52627	−	0.408963i	−0.921800	+	0.387666i	$0.873282\pi$
$692$	1.96886	−	1.13672i	0.0748449	−	0.0432117i
$693$	1.25059	+	0.00899919i	0.0475061	+	0.000341851i
$694$	−25.8556	−	25.8556i	−0.981464	−	0.981464i
$695$	−16.7144	+	4.47860i	−0.634012	+	0.169883i
$696$	−66.4341	+	17.8010i	−2.51818	+	0.674744i
$697$	2.49888	−	2.49888i	0.0946519	−	0.0946519i
$698$	24.8718	+	14.3597i	0.941411	+	0.543524i
$699$	−9.97698	−	17.2806i	−0.377364	−	0.653614i
$700$	63.4395	−	16.5102i	2.39779	−	0.624028i
$701$		−	1.87133i		−	0.0706790i	−0.999375	−	0.0353395i	$-0.988749\pi$
$701$		−	1.87133i		−	0.0706790i	0.999375	−	0.0353395i	$-0.0112513\pi$
$702$	8.33681	−	5.23509i	0.314653	−	0.197586i
$703$		−	38.9372i		−	1.46854i
$704$	−3.60365	+	13.4490i	−0.135818	+	0.506878i
$705$	24.7892	−	14.3120i	0.933614	−	0.539022i
$706$	−21.1860	+	36.6952i	−0.797346	+	1.38104i
$707$	−4.54811	+	16.4980i	−0.171049	+	0.620471i
$708$	−77.8796	+	20.8678i	−2.92690	+	0.784259i
$709$	−1.15519	−	4.31123i	−0.0433841	−	0.161912i	0.940835	−	0.338864i	$-0.110043\pi$
$709$	−1.15519	−	4.31123i	−0.0433841	−	0.161912i	−0.984219	+	0.176953i	$0.943376\pi$
$710$	−13.1875	−	13.1875i	−0.494919	−	0.494919i
$711$	−5.90068	+	10.2203i	−0.221293	+	0.383290i
$712$	−6.62222	−	11.4700i	−0.248178	−	0.429858i
$713$	−0.559949	+	2.08976i	−0.0209702	+	0.0782620i
$714$	−8.14200	−	14.3397i	−0.304707	−	0.536649i
$715$	−1.17297	+	5.13244i	−0.0438665	+	0.191942i
$716$	−56.6718			−2.11793
$717$	−7.20887	−	1.93161i	−0.269220	−	0.0721373i
$718$	−13.9181	−	24.1069i	−0.519421	−	0.899663i
$719$	−9.74009	+	16.8703i	−0.363244	+	0.629157i	−0.988493	−	0.151269i	$-0.951664\pi$
$719$	−9.74009	+	16.8703i	−0.363244	+	0.629157i	0.625249	+	0.780426i	$0.284998\pi$
$720$	32.4207	−	32.4207i	1.20825	−	1.20825i
$721$	15.8411	+	16.0707i	0.589952	+	0.598504i
$722$	−10.8984	−	40.6736i	−0.405598	−	1.51371i
$723$	−6.11353	+	6.11353i	−0.227365	+	0.227365i
$724$	−101.316	−	58.4946i	−3.76537	−	2.17394i
$725$	−28.6860	+	16.5619i	−1.06537	+	0.615093i
$726$	7.61528	−	28.4206i	0.282629	−	1.05479i
$727$	36.9369			1.36991			0.684957	−	0.728583i	$-0.259821\pi$
$727$	36.9369			1.36991			0.684957	+	0.728583i	$0.259821\pi$
$728$	−61.6891	+	65.4958i	−2.28635	+	2.42744i
$729$	−1.00000			−0.0370370
$730$	−7.53153	+	28.1080i	−0.278754	+	1.04033i
$731$	11.6107	−	6.70343i	0.429437	−	0.247935i
$732$	3.02026	+	1.74375i	0.111632	+	0.0644508i
$733$	−7.39416	+	7.39416i	−0.273109	+	0.273109i	−0.830351	−	0.557241i	$-0.811860\pi$
$733$	−7.39416	+	7.39416i	−0.273109	+	0.273109i	0.557241	+	0.830351i	$0.311860\pi$
$734$	−10.7560	−	40.1419i	−0.397011	−	1.48166i
$735$	20.8041	+	5.89659i	0.767369	+	0.217499i
$736$	−8.52289	+	8.52289i	−0.314158	+	0.314158i
$737$	1.98435	−	3.43700i	0.0730946	−	0.126604i
$738$	2.11339	+	3.66049i	0.0777948	+	0.134745i
$739$	−40.7446	−	10.9175i	−1.49882	−	0.401606i	−0.586112	−	0.810230i	$-0.699342\pi$
$739$	−40.7446	−	10.9175i	−1.49882	−	0.401606i	−0.912703	+	0.408623i	$0.866009\pi$
$740$	111.822			4.11065
$741$	21.1395	−	0.785015i	0.776579	−	0.0288382i
$742$	26.2386	−	14.8982i	0.963250	−	0.546929i
$743$	−0.209458	+	0.781707i	−0.00768426	+	0.0286780i	−0.969662	−	0.244452i	$-0.921392\pi$
$743$	−0.209458	+	0.781707i	−0.00768426	+	0.0286780i	0.961977	+	0.273130i	$0.0880588\pi$
$744$	18.3355	+	31.7580i	0.672211	+	1.16430i
$745$	−30.6351	+	53.0616i	−1.12238	+	1.94403i
$746$	63.0380	+	63.0380i	2.30799	+	2.30799i
$747$	−0.661811	−	2.46991i	−0.0242144	−	0.0903694i
$748$	5.68510	−	1.52332i	0.207868	−	0.0556980i
$749$	3.29661	−	11.9583i	0.120456	−	0.436945i
$750$	−1.92965	+	3.34225i	−0.0704607	+	0.122042i
$751$	41.4868	−	23.9524i	1.51387	−	0.874035i	0.514006	−	0.857787i	$-0.328161\pi$
$751$	41.4868	−	23.9524i	1.51387	−	0.874035i	0.999868	−	0.0162488i	$-0.00517239\pi$
$752$	−35.5965	+	132.848i	−1.29807	+	4.84446i
$753$			16.9722i			0.618501i
$754$	33.5608	−	63.4568i	1.22221	−	2.31096i
$755$		−	2.78304i		−	0.101285i
$756$	13.9660	−	3.63468i	0.507940	−	0.132192i
$757$	1.02223	+	1.77055i	0.0371534	+	0.0643516i	0.884004	−	0.467479i	$-0.154838\pi$
$757$	1.02223	+	1.77055i	0.0371534	+	0.0643516i	−0.846851	+	0.531831i	$0.821504\pi$
$758$	59.1640	+	34.1583i	2.14893	+	1.24069i
$759$	−0.185989	+	0.185989i	−0.00675098	+	0.00675098i
$760$	165.116	−	44.2427i	5.98939	−	1.60485i
$761$	−13.8918	+	3.72230i	−0.503578	+	0.134933i	−0.501660	−	0.865065i	$-0.667277\pi$
$761$	−13.8918	+	3.72230i	−0.503578	+	0.134933i	−0.00191784	+	0.999998i	$0.500610\pi$
$762$	18.5576	+	18.5576i	0.672273	+	0.672273i
$763$	0.0985690	−	13.6979i	0.00356844	−	0.495896i
$764$	−1.05071	+	0.606626i	−0.0380132	+	0.0219470i
$765$	−6.81137	−	1.82510i	−0.246265	−	0.0659866i
$766$	−49.6825			−1.79510
$767$	24.9170	−	47.1130i	0.899700	−	1.70115i
$768$			42.3841i			1.52940i
$769$	9.09993	+	2.43832i	0.328152	+	0.0879280i	0.419134	−	0.907925i	$-0.362334\pi$
$769$	9.09993	+	2.43832i	0.328152	+	0.0879280i	−0.0909818	+	0.995853i	$0.529001\pi$
$770$	−5.33954	+	9.09656i	−0.192424	+	0.327817i
$771$	−5.83406	−	3.36830i	−0.210109	−	0.121306i
$772$	7.91442	+	7.91442i	0.284846	+	0.284846i
$773$	6.89949	+	25.7493i	0.248157	+	0.926136i	0.971770	+	0.235930i	$0.0758136\pi$
$773$	6.89949	+	25.7493i	0.248157	+	0.926136i	−0.723613	+	0.690206i	$0.757520\pi$
$774$	4.15022	+	15.4888i	0.149177	+	0.556735i
$775$	12.4882	+	12.4882i	0.448589	+	0.448589i
$776$	102.570	+	59.2186i	3.68204	+	2.12583i
$777$	15.1427	+	8.88852i	0.543241	+	0.318874i
$778$	−16.1595	−	4.32993i	−0.579347	−	0.155236i
$779$			9.08284i			0.325427i
$780$	2.25445	+	60.7095i	0.0807221	+	2.17375i
$781$	1.04525			0.0374018
$782$	3.34995	+	0.897617i	0.119794	+	0.0320987i
$783$	−6.31515	+	3.64605i	−0.225685	+	0.130299i
$784$	−90.7165	+	50.6487i	−3.23988	+	1.80888i
$785$	−0.232374	−	0.232374i	−0.00829378	−	0.00829378i
$786$	41.1559	−	11.0277i	1.46798	−	0.393345i
$787$	42.0566	−	11.2690i	1.49916	−	0.401698i	0.586339	−	0.810066i	$-0.300569\pi$
$787$	42.0566	−	11.2690i	1.49916	−	0.401698i	0.912817	+	0.408368i	$0.133902\pi$
$788$	−50.7975	+	50.7975i	−1.80959	+	1.80959i
$789$	−4.57739	−	2.64276i	−0.162960	−	0.0940847i
$790$	−49.7669	−	86.1987i	−1.77063	−	3.06681i
$791$	22.5919	−	5.87958i	0.803277	−	0.209054i
$792$			4.45833i			0.158420i
$793$	−2.20309	+	0.678883i	−0.0782340	+	0.0241078i
$794$		−	36.0580i		−	1.27965i
$795$	3.33955	−	12.4634i	0.118442	−	0.442031i
$796$	−14.1068	+	8.14455i	−0.500001	+	0.288676i
$797$	−8.97549	+	15.5460i	−0.317928	+	0.550667i	−0.980056	−	0.198724i	$-0.936320\pi$
$797$	−8.97549	+	15.5460i	−0.317928	+	0.550667i	0.662128	+	0.749391i	$0.269654\pi$
$798$	40.8578	+	11.2635i	1.44635	+	0.398725i
$799$	20.4318	−	5.47469i	0.722826	−	0.193681i
$800$	25.4660	+	95.0404i	0.900359	+	3.36019i
$801$	−0.992944	−	0.992944i	−0.0350839	−	0.0350839i
$802$	7.00218	−	12.1281i	0.247256	−	0.428259i
$803$	−0.815449	−	1.41240i	−0.0287766	−	0.0498425i
$804$	11.8528	−	44.2354i	0.418017	−	1.56006i
$805$	−3.95478	+	2.24551i	−0.139388	+	0.0791437i
$806$	−37.3124	−	8.52738i	−1.31427	−	0.300364i
$807$	−3.27627			−0.115330
$808$	−58.9285	−	15.7899i	−2.07310	−	0.555485i
$809$	−11.6827	−	20.2350i	−0.410741	−	0.711424i	0.584230	−	0.811588i	$-0.301397\pi$
$809$	−11.6827	−	20.2350i	−0.410741	−	0.711424i	−0.994971	+	0.100164i	$0.968063\pi$
$810$	4.21705	−	7.30414i	0.148172	−	0.256641i
$811$	−6.31578	+	6.31578i	−0.221777	+	0.221777i	−0.809246	−	0.587469i	$-0.800124\pi$
$811$	−6.31578	+	6.31578i	−0.221777	+	0.221777i	0.587469	+	0.809246i	$0.300124\pi$
$812$	74.9453	−	73.8744i	2.63007	−	2.59248i
$813$	3.01677	+	11.2587i	0.105803	+	0.394861i
$814$	−6.05640	+	6.05640i	−0.212277	+	0.212277i
$815$	38.3430	+	22.1373i	1.34310	+	0.775437i
$816$	29.3427	−	16.9410i	1.02720	−	0.593055i
$817$	−8.91834	+	33.2837i	−0.312013	+	1.16445i
$818$	−43.6020			−1.52451
$819$	−4.52040	+	8.40036i	−0.157956	+	0.293532i
$820$	−26.0846			−0.910913
$821$	0.0319770	−	0.119340i	0.00111600	−	0.00416498i	−0.965366	−	0.260901i	$-0.915980\pi$
$821$	0.0319770	−	0.119340i	0.00111600	−	0.00416498i	0.966482	+	0.256736i	$0.0826471\pi$
$822$	−45.9891	+	26.5518i	−1.60405	+	0.926101i
$823$	−26.0725	−	15.0529i	−0.908829	−	0.524712i	−0.0287745	−	0.999586i	$-0.509160\pi$
$823$	−26.0725	−	15.0529i	−0.908829	−	0.524712i	−0.880054	+	0.474874i	$0.842494\pi$
$824$	−56.8824	+	56.8824i	−1.98159	+	1.98159i
$825$	0.555727	+	2.07400i	0.0193479	+	0.0722075i
$826$	76.0451	−	74.9585i	2.64595	−	2.60814i
$827$	21.5722	−	21.5722i	0.750140	−	0.750140i	−0.224365	−	0.974505i	$-0.572031\pi$
$827$	21.5722	−	21.5722i	0.750140	−	0.750140i	0.974505	+	0.224365i	$0.0720307\pi$
$828$	−1.51757	+	2.62851i	−0.0527393	+	0.0913471i
$829$	9.38977	+	16.2636i	0.326120	+	0.564857i	0.981738	−	0.190236i	$-0.0609252\pi$
$829$	9.38977	+	16.2636i	0.326120	+	0.564857i	−0.655618	+	0.755093i	$0.727592\pi$
$830$	20.8315	+	5.58178i	0.723071	+	0.193746i
$831$	4.22856			0.146687
$832$	−77.8324	−	72.2588i	−2.69835	−	2.50512i
$833$	13.7221	+	8.18800i	0.475443	+	0.283697i
$834$	3.95843	−	14.7731i	0.137069	−	0.511549i
$835$	21.8445	+	37.8359i	0.755961	+	1.30936i
$836$	−7.56354	+	13.1004i	−0.261591	+	0.453088i
$837$	2.74924	+	2.74924i	0.0950277	+	0.0950277i
$838$	−10.3194	−	38.5126i	−0.356478	−	1.33039i
$839$	27.4030	−	7.34262i	0.946058	−	0.253495i	0.247369	−	0.968921i	$-0.420434\pi$
$839$	27.4030	−	7.34262i	0.946058	−	0.253495i	0.698689	+	0.715426i	$0.253767\pi$
$840$	−20.4865	+	74.3133i	−0.706850	+	2.56405i
$841$	−12.0874	+	20.9360i	−0.416807	+	0.721931i
$842$	−6.83256	+	3.94478i	−0.235466	+	0.135946i
$843$	6.67484	−	24.9108i	0.229894	−	0.857975i
$844$		−	39.3990i		−	1.35617i
$845$	−30.4239	−	26.2117i	−1.04661	−	0.901712i
$846$			25.2995i			0.869813i
$847$	7.18111	+	27.5930i	0.246746	+	0.948106i
$848$	30.9986	+	53.6911i	1.06450	+	1.84376i
$849$	−3.32864	−	1.92179i	−0.114239	−	0.0659558i
$850$	20.0190	−	20.0190i	0.686646	−	0.686646i
$851$	−3.56706	+	0.955791i	−0.122277	+	0.0327641i
$852$	11.6503	−	3.12170i	0.399134	−	0.106948i
$853$	16.3889	+	16.3889i	0.561144	+	0.561144i	0.929632	−	0.368488i	$-0.120124\pi$
$853$	16.3889	+	16.3889i	0.561144	+	0.561144i	−0.368488	+	0.929632i	$0.620124\pi$
$854$	−4.61855	−	0.0332348i	−0.158044	−	0.00113727i
$855$	15.6957	−	9.06194i	0.536783	−	0.309912i
$856$	42.7132	+	11.4450i	1.45991	+	0.391181i
$857$	−14.4403			−0.493271			−0.246636	−	0.969108i	$-0.579325\pi$
$857$	−14.4403			−0.493271			−0.246636	+	0.969108i	$0.579325\pi$
$858$	−3.41020	−	3.16600i	−0.116422	−	0.108085i
$859$			39.7298i			1.35556i	0.735264	+	0.677781i	$0.237058\pi$
$859$			39.7298i			1.35556i	−0.735264	+	0.677781i	$0.762942\pi$
$860$	−95.5859	−	25.6122i	−3.25945	−	0.873367i
$861$	−3.53232	−	2.07342i	−0.120381	−	0.0706619i
$862$	25.8730	+	14.9378i	0.881237	+	0.508782i
$863$	−14.6873	−	14.6873i	−0.499961	−	0.499961i	0.411464	−	0.911426i	$-0.365017\pi$
$863$	−14.6873	−	14.6873i	−0.499961	−	0.499961i	−0.911426	+	0.411464i	$0.865017\pi$
$864$	5.60626	+	20.9229i	0.190729	+	0.711810i
$865$	0.333238	+	1.24366i	0.0113304	+	0.0422858i
$866$	69.1933	+	69.1933i	2.35128	+	2.35128i
$867$	10.2096	+	5.89449i	0.346735	+	0.200187i
$868$	−48.3886	−	28.4034i	−1.64242	−	0.964073i
$869$	5.38833	+	1.44380i	0.182786	+	0.0489775i
$870$		−	61.5023i		−	2.08512i
$871$	16.0985	+	25.6367i	0.545477	+	0.868665i
$872$	48.8326			1.65368
$873$	12.1294	+	3.25005i	0.410517	+	0.109998i
$874$	−7.71945	+	4.45683i	−0.261114	+	0.150754i
$875$	0.0269106	−	3.73970i	0.000909745	−	0.126425i
$876$	−13.3072	−	13.3072i	−0.449610	−	0.449610i
$877$	16.7227	−	4.48084i	0.564687	−	0.151307i	0.0348281	−	0.999393i	$-0.488912\pi$
$877$	16.7227	−	4.48084i	0.564687	−	0.151307i	0.529859	+	0.848086i	$0.322245\pi$
$878$	4.07311	−	1.09139i	0.137461	−	0.0368326i
$879$	20.9590	−	20.9590i	0.706931	−	0.706931i
$880$	−18.7692	−	10.8364i	−0.632711	−	0.365296i
$881$	−13.3851	−	23.1836i	−0.450955	−	0.781076i	0.547491	−	0.836812i	$-0.315583\pi$
$881$	−13.3851	−	23.1836i	−0.450955	−	0.781076i	−0.998446	+	0.0557352i	$0.982250\pi$
$882$	−13.7073	+	13.3184i	−0.461550	+	0.448453i
$883$			41.2346i			1.38766i	0.720141	+	0.693828i	$0.244077\pi$
$883$			41.2346i			1.38766i	−0.720141	+	0.693828i	$0.755923\pi$
$884$	−10.0022	+	43.7655i	−0.336410	+	1.47199i
$885$		−	45.6619i		−	1.53491i
$886$	11.4235	−	42.6331i	0.383780	−	1.43229i
$887$	23.6672	−	13.6643i	0.794668	−	0.458802i	−0.0469355	−	0.998898i	$-0.514946\pi$
$887$	23.6672	−	13.6643i	0.794668	−	0.458802i	0.841603	+	0.540096i	$0.181612\pi$
$888$	−31.2973	+	54.2085i	−1.05027	+	1.81912i
$889$	−24.5173	−	6.75884i	−0.822283	−	0.226684i
$890$	11.4399	−	3.06531i	0.383466	−	0.102749i
$891$	0.122342	+	0.456585i	0.00409860	+	0.0152962i
$892$	74.1443	+	74.1443i	2.48253	+	2.48253i
$893$	−27.1828	+	47.0820i	−0.909638	+	1.57554i
$894$	−27.0770	−	46.8987i	−0.905589	−	1.56853i
$895$	8.30688	−	31.0017i	0.277668	−	1.03627i
$896$	−48.4664	−	85.3590i	−1.61915	−	2.85164i
$897$	−0.590827	−	1.91733i	−0.0197271	−	0.0640179i
$898$	41.8581			1.39682
$899$	27.3857	+	7.33799i	0.913365	+	0.244736i
$900$	12.3883	+	21.4572i	0.412944	+	0.715239i
$901$	4.76754	−	8.25762i	0.158830	−	0.275101i
$902$	1.41277	−	1.41277i	0.0470402	−	0.0470402i
$903$	−10.9082	−	11.0663i	−0.363001	−	0.368264i
$904$	21.5390	+	80.3847i	0.716377	+	2.67355i
$905$	46.8496	−	46.8496i	1.55733	−	1.55733i
$906$	2.13025	+	1.22990i	0.0707727	+	0.0408606i
$907$	24.9677	−	14.4151i	0.829038	−	0.478645i	−0.0244850	−	0.999700i	$-0.507795\pi$
$907$	24.9677	−	14.4151i	0.829038	−	0.478645i	0.853523	+	0.521055i	$0.174461\pi$
$908$	21.7955	−	81.3418i	0.723308	−	2.69942i
$909$	−6.46826			−0.214539
$910$	−42.2946	−	68.4423i	−1.40205	−	2.26884i
$911$	−55.1222			−1.82628			−0.913140	−	0.407646i	$-0.866350\pi$
$911$	−55.1222			−1.82628			−0.913140	+	0.407646i	$0.866350\pi$
$912$	−22.5386	+	84.1152i	−0.746328	+	2.78533i
$913$	−1.04676	+	0.604347i	−0.0346427	+	0.0200010i
$914$	−65.2472	−	37.6705i	−2.15819	−	1.24603i
$915$	−1.39660	+	1.39660i	−0.0461703	+	0.0461703i
$916$	−16.7402	−	62.4755i	−0.553113	−	2.06425i
$917$	−29.4047	+	28.9845i	−0.971028	+	0.957153i
$918$	4.40713	−	4.40713i	0.145457	−	0.145457i
$919$	12.4821	−	21.6196i	0.411745	−	0.713164i	−0.583336	−	0.812231i	$-0.698253\pi$
$919$	12.4821	−	21.6196i	0.411745	−	0.713164i	0.995081	+	0.0990678i	$0.0315861\pi$
$920$	−8.10621	−	14.0404i	−0.267254	−	0.462897i
$921$	−27.5961	−	7.39436i	−0.909324	−	0.243653i
$922$	−6.65300			−0.219105
$923$	−3.72743	+	7.04783i	−0.122690	+	0.231982i
$924$	−3.36817	−	5.93201i	−0.110805	−	0.195149i
$925$	−7.80235	+	29.1188i	−0.256540	+	0.957420i
$926$	−30.7080	−	53.1878i	−1.00913	−	1.74786i
$927$	−4.26450	+	7.38633i	−0.140065	+	0.242599i
$928$	111.690	+	111.690i	3.66641	+	3.66641i
$929$	−6.01016	−	22.4302i	−0.197187	−	0.735911i	−0.991690	−	0.128651i	$-0.958935\pi$
$929$	−6.01016	−	22.4302i	−0.197187	−	0.735911i	0.794503	−	0.607260i	$-0.207731\pi$
$930$	−31.6745	+	8.48716i	−1.03865	+	0.278305i
$931$	−39.8190	+	10.0576i	−1.30502	+	0.329624i
$932$	−54.4194	+	94.2572i	−1.78257	+	3.08750i
$933$	21.3310	−	12.3154i	0.698345	−	0.403189i
$934$	−4.70838	+	17.5719i	−0.154063	+	0.574971i
$935$			3.33326i			0.109009i
$936$	−30.0615	−	15.8988i	−0.982590	−	0.519668i
$937$		−	10.3813i		−	0.339143i	−0.985518	−	0.169572i	$-0.945762\pi$
$937$		−	10.3813i		−	0.339143i	0.985518	−	0.169572i	$-0.0542384\pi$
$938$	15.2754	+	58.6946i	0.498758	+	1.91645i
$939$	−4.09652	−	7.09538i	−0.133685	−	0.231549i
$940$	−135.212	−	78.0649i	−4.41014	−	2.54620i
$941$	−21.0506	+	21.0506i	−0.686232	+	0.686232i	−0.961397	−	0.275165i	$-0.911267\pi$
$941$	−21.0506	+	21.0506i	−0.686232	+	0.686232i	0.275165	+	0.961397i	$0.411267\pi$
$942$	0.280560	−	0.0751759i	0.00914114	−	0.00244936i
$943$	0.832085	−	0.222957i	0.0270964	−	0.00726046i
$944$	155.138	+	155.138i	5.04932	+	5.04932i
$945$	−0.0588104	+	8.17273i	−0.00191310	+	0.265859i
$946$	6.56423	−	3.78986i	0.213422	−	0.123219i
$947$	12.9426	+	3.46795i	0.420577	+	0.112693i	0.462900	−	0.886411i	$-0.346809\pi$
$947$	12.9426	+	3.46795i	0.420577	+	0.112693i	−0.0423224	+	0.999104i	$0.513476\pi$
$948$	64.3705			2.09066
$949$	12.4314	−	0.461641i	0.403541	−	0.0149855i
$950$			72.7643i			2.36079i
$951$	8.52990	+	2.28558i	0.276601	+	0.0741150i
$952$	−28.8365	+	49.1265i	−0.934597	+	1.59220i
$953$	−13.8070	−	7.97146i	−0.447252	−	0.258221i	0.259417	−	0.965765i	$-0.416470\pi$
$953$	−13.8070	−	7.97146i	−0.447252	−	0.258221i	−0.706669	+	0.707544i	$0.749803\pi$
$954$	8.06412	+	8.06412i	0.261086	+	0.261086i
$955$	−0.177837	−	0.663696i	−0.00575466	−	0.0214767i
$956$	10.5360	+	39.3208i	0.340757	+	1.27172i
$957$	2.43734	+	2.43734i	0.0787880	+	0.0787880i
$958$	53.9931	+	31.1729i	1.74444	+	1.00715i
$959$	26.0497	−	44.3788i	0.841188	−	1.43307i
$960$	−87.8903	−	23.5501i	−2.83665	−	0.760077i
$961$			15.8834i			0.512366i
$962$	−19.2392	−	62.4345i	−0.620297	−	2.01297i
$963$	4.68840			0.151082
$964$	45.5518	+	12.2056i	1.46712	+	0.393115i
$965$	−5.48958	+	3.16941i	−0.176716	+	0.102027i
$966$	0.0289240	−	4.01949i	0.000930615	−	0.129325i
$967$	8.01251	+	8.01251i	0.257665	+	0.257665i	0.824104	−	0.566439i	$-0.191679\pi$
$967$	8.01251	+	8.01251i	0.257665	+	0.257665i	−0.566439	+	0.824104i	$0.691679\pi$
$968$	−98.1789	+	26.3070i	−3.15559	+	0.845538i
$969$	12.9368	−	3.46641i	0.415590	−	0.111357i
$970$	−74.8889	+	74.8889i	−2.40454	+	2.40454i
$971$	−38.0478	−	21.9669i	−1.22101	−	0.704951i	−0.255878	−	0.966709i	$-0.582364\pi$
$971$	−38.0478	−	21.9669i	−1.22101	−	0.704951i	−0.965134	+	0.261758i	$0.915698\pi$
$972$	2.72725	+	4.72373i	0.0874766	+	0.151514i
$973$	3.73275	+	14.3428i	0.119666	+	0.459810i
$974$			34.0126i			1.08984i
$975$	−15.9663	−	3.64893i	−0.511330	−	0.116859i
$976$		−	9.49003i		−	0.303768i
$977$	−9.68314	+	36.1380i	−0.309791	+	1.15616i	0.618951	+	0.785430i	$0.287558\pi$
$977$	−9.68314	+	36.1380i	−0.309791	+	1.15616i	−0.928742	+	0.370727i	$0.879109\pi$
$978$	−33.8896	+	19.5662i	−1.08367	+	0.625656i
$979$	−0.331885	+	0.574842i	−0.0106071	+	0.0183720i
$980$	−28.8839	−	114.354i	−0.922662	−	3.65291i
$981$	5.00102	−	1.34002i	0.159670	−	0.0427836i
$982$	−13.6993	−	51.1264i	−0.437162	−	1.63151i
$983$	−24.9501	−	24.9501i	−0.795786	−	0.795786i	0.186642	−	0.982428i	$-0.440239\pi$
$983$	−24.9501	−	24.9501i	−0.795786	−	0.795786i	−0.982428	+	0.186642i	$0.940239\pi$
$984$	7.30069	−	12.6452i	0.232738	−	0.403113i
$985$	−20.3424	−	35.2340i	−0.648162	−	1.12265i
$986$	11.7630	−	43.9003i	0.374612	−	1.39807i
$987$	−12.1049	−	21.3192i	−0.385305	−	0.678598i
$988$	−61.3609	−	97.7164i	−1.95215	−	3.10877i
$989$	3.26806			0.103918
$990$	−3.85088	−	1.03184i	−0.122389	−	0.0327941i
$991$	−4.26766	−	7.39180i	−0.135567	−	0.234808i	0.790247	−	0.612788i	$-0.209952\pi$
$991$	−4.26766	−	7.39180i	−0.135567	−	0.234808i	−0.925814	+	0.377980i	$0.876619\pi$
$992$	42.1090	−	72.9350i	1.33696	−	2.31569i
$993$	−20.9502	+	20.9502i	−0.664834	+	0.664834i
$994$	−11.3759	+	11.2133i	−0.360822	+	0.355666i
$995$	−2.38763	−	8.91077i	−0.0756931	−	0.282490i
$996$	−9.86229	+	9.86229i	−0.312498	+	0.312498i
$997$	30.8124	+	17.7895i	0.975837	+	0.563400i	0.901011	−	0.433797i	$-0.142826\pi$
$997$	30.8124	+	17.7895i	0.975837	+	0.563400i	0.0748264	+	0.997197i	$0.476160\pi$
$998$	82.4557	−	47.6058i	2.61009	−	1.50694i
$999$	−1.71767	+	6.41041i	−0.0543445	+	0.202817i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.by.c.76.1	✓	32
3.2	odd	2		819.2.fm.f.622.8		32
7.6	odd	2		273.2.by.d.76.1	yes	32
13.6	odd	12		273.2.by.d.97.1	yes	32
21.20	even	2		819.2.fm.e.622.8		32
39.32	even	12		819.2.fm.e.370.8		32
91.6	even	12	inner	273.2.by.c.97.1	yes	32
273.188	odd	12		819.2.fm.f.370.8		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.76.1	✓	32	1.1	even	1	trivial
273.2.by.c.97.1	yes	32	91.6	even	12	inner
273.2.by.d.76.1	yes	32	7.6	odd	2
273.2.by.d.97.1	yes	32	13.6	odd	12
819.2.fm.e.370.8		32	39.32	even	12
819.2.fm.e.622.8		32	21.20	even	2
819.2.fm.f.370.8		32	273.188	odd	12
819.2.fm.f.622.8		32	3.2	odd	2

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.by (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.706652 + 2.63726i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-4.72373 - 2.72725i) q^{4} +(2.18431 - 2.18431i) q^{5} +(0.706652 + 2.63726i) q^{6} +(-1.85732 - 1.88424i) q^{7} +(6.66928 - 6.66928i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.706652 + 2.63726i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-4.72373 - 2.72725i) q^{4} +(2.18431 - 2.18431i) q^{5} +(0.706652 + 2.63726i) q^{6} +(-1.85732 - 1.88424i) q^{7} +(6.66928 - 6.66928i) q^{8} +(0.500000 - 0.866025i) q^{9} +(4.21705 + 7.30414i) q^{10} +(-0.456585 - 0.122342i) q^{11} -5.45450 q^{12} +(2.45314 - 2.64236i) q^{13} +(6.28171 - 3.56673i) q^{14} +(0.799513 - 2.98382i) q^{15} +(7.42128 + 12.8540i) q^{16} +(1.14138 - 1.97693i) q^{17} +(1.93061 + 1.93061i) q^{18} +(1.51851 + 5.66717i) q^{19} +(-16.2753 + 4.36094i) q^{20} +(-2.55061 - 0.703143i) q^{21} +(0.645294 - 1.11768i) q^{22} +(0.481898 - 0.278224i) q^{23} +(2.44113 - 9.11041i) q^{24} -4.54242i q^{25} +(5.23509 + 8.33681i) q^{26} -1.00000i q^{27} +(3.63468 + 13.9660i) q^{28} +(-3.64605 - 6.31515i) q^{29} +(7.30414 + 4.21705i) q^{30} +(-2.74924 + 2.74924i) q^{31} +(-20.9229 + 5.60626i) q^{32} +(-0.456585 + 0.122342i) q^{33} +(4.40713 + 4.40713i) q^{34} +(-8.17273 - 0.0588104i) q^{35} +(-4.72373 + 2.72725i) q^{36} +(-6.41041 - 1.71767i) q^{37} -16.0189 q^{38} +(0.803302 - 3.51493i) q^{39} -29.1356i q^{40} +(1.49535 + 0.400678i) q^{41} +(3.65676 - 6.22973i) q^{42} +(5.08624 + 2.93654i) q^{43} +(1.82313 + 1.82313i) q^{44} +(-0.799513 - 2.98382i) q^{45} +(0.393215 + 1.46750i) q^{46} +(6.55220 + 6.55220i) q^{47} +(12.8540 + 7.42128i) q^{48} +(-0.100738 + 6.99928i) q^{49} +(11.9795 + 3.20991i) q^{50} -2.28277i q^{51} +(-18.7944 + 5.79150i) q^{52} +4.17698 q^{53} +(2.63726 + 0.706652i) q^{54} +(-1.26456 + 0.730092i) q^{55} +(-24.9535 - 0.179564i) q^{56} +(4.14865 + 4.14865i) q^{57} +(19.2312 - 5.15298i) q^{58} +(14.2781 - 3.82579i) q^{59} +(-11.9143 + 11.9143i) q^{60} +(-0.553719 - 0.319690i) q^{61} +(-5.30771 - 9.19322i) q^{62} +(-2.56046 + 0.666364i) q^{63} -29.4556i q^{64} +(-0.413319 - 11.1302i) q^{65} -1.29059i q^{66} +(-2.17304 + 8.10989i) q^{67} +(-10.7832 + 6.22567i) q^{68} +(0.278224 - 0.481898i) q^{69} +(5.93037 - 21.5120i) q^{70} +(-2.13591 + 0.572316i) q^{71} +(-2.44113 - 9.11041i) q^{72} +(2.43968 + 2.43968i) q^{73} +(9.05986 - 15.6921i) q^{74} +(-2.27121 - 3.93385i) q^{75} +(8.28273 - 30.9116i) q^{76} +(0.617503 + 1.08755i) q^{77} +(8.70212 + 4.60234i) q^{78} -11.8014 q^{79} +(44.2876 + 11.8668i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-2.11339 + 3.66049i) q^{82} +(1.80810 - 1.80810i) q^{83} +(10.1307 + 10.2776i) q^{84} +(-1.82510 - 6.81137i) q^{85} +(-11.3386 + 11.3386i) q^{86} +(-6.31515 - 3.64605i) q^{87} +(-3.86103 + 2.22917i) q^{88} +(0.363443 - 1.35639i) q^{89} +8.43409 q^{90} +(-9.53512 + 0.285396i) q^{91} -3.03514 q^{92} +(-1.00629 + 3.75553i) q^{93} +(-21.9100 + 12.6497i) q^{94} +(15.6957 + 9.06194i) q^{95} +(-15.3166 + 15.3166i) q^{96} +(3.25005 + 12.1294i) q^{97} +(-18.3877 - 5.21172i) q^{98} +(-0.334244 + 0.334244i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9	\( 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9} - 2 q^{10} - 4 q^{11} - 32 q^{12} - 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} + 8 q^{17} + 2 q^{18} - 2 q^{19} - 44 q^{20} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 q^{70} - 4 q^{71} + 4 q^{72} - 12 q^{73} - 18 q^{74} - 16 q^{75} + 48 q^{76} - 28 q^{77} - 14 q^{78} - 4 q^{79} + 98 q^{80} - 16 q^{81} - 20 q^{82} + 36 q^{83} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 4 q^{99}+O(q^{100}) \) 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9 - 2 * q^10 - 4 * q^11 - 32 * q^12 - 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 + 8 * q^17 + 2 * q^18 - 2 * q^19 - 44 * q^20 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * q^70 - 4 * q^71 + 4 * q^72 - 12 * q^73 - 18 * q^74 - 16 * q^75 + 48 * q^76 - 28 * q^77 - 14 * q^78 - 4 * q^79 + 98 * q^80 - 16 * q^81 - 20 * q^82 + 36 * q^83 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

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