LMFDB - Embedded newform 13.3.f.a.2.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [13,3,Mod(2,13)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(13, base_ring=CyclotomicField(12))

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

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("13.2");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 13 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	13.f (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:	$0.354224343668$
Analytic rank:	$0$
Dimension:	$4$
Coefficient field:	$\Q(\zeta_{12})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{4} - x^{2} + 1 $ x^4 - x^2 + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			2.1
Root			$0.866025 + 0.500000i$ of defining polynomial
Character	$\chi$	$=$	13.2
Dual form			13.3.f.a.7.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 - 0.133975i) q^{2} +(0.366025 + 0.633975i) q^{3} +(-3.23205 - 1.86603i) q^{4} +(-2.63397 + 2.63397i) q^{5} +(-0.0980762 - 0.366025i) q^{6} +(5.73205 - 1.53590i) q^{7} +(2.83013 + 2.83013i) q^{8} +(4.23205 - 7.33013i) q^{9} +O(q^{10})$	\(q+(-0.500000 - 0.133975i) q^{2} +(0.366025 + 0.633975i) q^{3} +(-3.23205 - 1.86603i) q^{4} +(-2.63397 + 2.63397i) q^{5} +(-0.0980762 - 0.366025i) q^{6} +(5.73205 - 1.53590i) q^{7} +(2.83013 + 2.83013i) q^{8} +(4.23205 - 7.33013i) q^{9} +(1.66987 - 0.964102i) q^{10} +(-4.19615 + 15.6603i) q^{11} -2.73205i q^{12} +(-6.50000 - 11.2583i) q^{13} -3.07180 q^{14} +(-2.63397 - 0.705771i) q^{15} +(6.42820 + 11.1340i) q^{16} +(-15.9904 - 9.23205i) q^{17} +(-3.09808 + 3.09808i) q^{18} +(1.63397 + 6.09808i) q^{19} +(13.4282 - 3.59808i) q^{20} +(3.07180 + 3.07180i) q^{21} +(4.19615 - 7.26795i) q^{22} +(17.4904 - 10.0981i) q^{23} +(-0.758330 + 2.83013i) q^{24} +11.1244i q^{25} +(1.74167 + 6.50000i) q^{26} +12.7846 q^{27} +(-21.3923 - 5.73205i) q^{28} +(-4.69615 - 8.13397i) q^{29} +(1.22243 + 0.705771i) q^{30} +(-11.9282 + 11.9282i) q^{31} +(-5.86603 - 21.8923i) q^{32} +(-11.4641 + 3.07180i) q^{33} +(6.75833 + 6.75833i) q^{34} +(-11.0526 + 19.1436i) q^{35} +(-27.3564 + 15.7942i) q^{36} +(8.11474 - 30.2846i) q^{37} -3.26795i q^{38} +(4.75833 - 8.24167i) q^{39} -14.9090 q^{40} +(44.9186 + 12.0359i) q^{41} +(-1.12436 - 1.94744i) q^{42} +(45.0000 + 25.9808i) q^{43} +(42.7846 - 42.7846i) q^{44} +(8.16025 + 30.4545i) q^{45} +(-10.0981 + 2.70577i) q^{46} +(-34.3205 - 34.3205i) q^{47} +(-4.70577 + 8.15064i) q^{48} +(-11.9378 + 6.89230i) q^{49} +(1.49038 - 5.56218i) q^{50} -13.5167i q^{51} +48.5167i q^{52} -14.7654 q^{53} +(-6.39230 - 1.71281i) q^{54} +(-30.1962 - 52.3013i) q^{55} +(20.5692 + 11.8756i) q^{56} +(-3.26795 + 3.26795i) q^{57} +(1.25833 + 4.69615i) q^{58} +(-92.9615 + 24.9090i) q^{59} +(7.19615 + 7.19615i) q^{60} +(-12.8135 + 22.1936i) q^{61} +(7.56218 - 4.36603i) q^{62} +(13.0000 - 48.5167i) q^{63} -39.6936i q^{64} +(46.7750 + 12.5333i) q^{65} +6.14359 q^{66} +(39.0263 + 10.4571i) q^{67} +(34.4545 + 59.6769i) q^{68} +(12.8038 + 7.39230i) q^{69} +(8.09103 - 8.09103i) q^{70} +(-11.9737 - 44.6865i) q^{71} +(32.7224 - 8.76795i) q^{72} +(-19.2750 - 19.2750i) q^{73} +(-8.11474 + 14.0551i) q^{74} +(-7.05256 + 4.07180i) q^{75} +(6.09808 - 22.7583i) q^{76} +96.2102i q^{77} +(-3.48334 + 3.48334i) q^{78} +62.7461 q^{79} +(-46.2583 - 12.3949i) q^{80} +(-33.4090 - 57.8660i) q^{81} +(-20.8468 - 12.0359i) q^{82} +(-24.4833 + 24.4833i) q^{83} +(-4.19615 - 15.6603i) q^{84} +(66.4352 - 17.8013i) q^{85} +(-19.0192 - 19.0192i) q^{86} +(3.43782 - 5.95448i) q^{87} +(-56.1962 + 32.4449i) q^{88} +(-23.1699 + 86.4711i) q^{89} -16.3205i q^{90} +(-54.5500 - 54.5500i) q^{91} -75.3731 q^{92} +(-11.9282 - 3.19615i) q^{93} +(12.5622 + 21.7583i) q^{94} +(-20.3660 - 11.7583i) q^{95} +(11.7321 - 11.7321i) q^{96} +(14.1891 + 52.9545i) q^{97} +(6.89230 - 1.84679i) q^{98} +(97.0333 + 97.0333i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q - 2 q^{2} - 2 q^{3} - 6 q^{4} - 14 q^{5} + 10 q^{6} + 16 q^{7} - 6 q^{8} + 10 q^{9}+O(q^{10}) $ 4 * q - 2 * q^2 - 2 * q^3 - 6 * q^4 - 14 * q^5 + 10 * q^6 + 16 * q^7 - 6 * q^8 + 10 * q^9	\( 4 q - 2 q^{2} - 2 q^{3} - 6 q^{4} - 14 q^{5} + 10 q^{6} + 16 q^{7} - 6 q^{8} + 10 q^{9} + 24 q^{10} + 4 q^{11} - 26 q^{13} - 40 q^{14} - 14 q^{15} - 2 q^{16} - 12 q^{17} - 2 q^{18} + 10 q^{19} + 26 q^{20} + 40 q^{21} - 4 q^{22} + 18 q^{23} + 42 q^{24} + 52 q^{26} - 32 q^{27} - 44 q^{28} + 2 q^{29} - 54 q^{30} - 20 q^{31} - 20 q^{32} - 32 q^{33} - 18 q^{34} + 32 q^{35} - 54 q^{36} - 68 q^{37} - 26 q^{39} + 72 q^{40} + 100 q^{41} + 44 q^{42} + 180 q^{43} + 88 q^{44} - 2 q^{45} - 30 q^{46} - 68 q^{47} - 50 q^{48} - 72 q^{49} - 46 q^{50} + 128 q^{53} + 16 q^{54} - 100 q^{55} - 84 q^{56} - 20 q^{57} - 40 q^{58} - 164 q^{59} + 8 q^{60} - 124 q^{61} + 6 q^{62} + 52 q^{63} + 52 q^{65} + 80 q^{66} + 118 q^{67} + 72 q^{68} + 72 q^{69} + 164 q^{70} - 86 q^{71} + 72 q^{72} + 58 q^{73} + 68 q^{74} + 48 q^{75} + 14 q^{76} - 104 q^{78} - 40 q^{79} - 140 q^{80} - 2 q^{81} + 24 q^{82} - 188 q^{83} + 4 q^{84} + 96 q^{85} - 180 q^{86} + 38 q^{87} - 204 q^{88} - 110 q^{89} + 52 q^{91} - 156 q^{92} - 20 q^{93} + 26 q^{94} - 78 q^{95} + 40 q^{96} + 178 q^{97} - 14 q^{98} + 208 q^{99}+O(q^{100}) \) 4 * q - 2 * q^2 - 2 * q^3 - 6 * q^4 - 14 * q^5 + 10 * q^6 + 16 * q^7 - 6 * q^8 + 10 * q^9 + 24 * q^10 + 4 * q^11 - 26 * q^13 - 40 * q^14 - 14 * q^15 - 2 * q^16 - 12 * q^17 - 2 * q^18 + 10 * q^19 + 26 * q^20 + 40 * q^21 - 4 * q^22 + 18 * q^23 + 42 * q^24 + 52 * q^26 - 32 * q^27 - 44 * q^28 + 2 * q^29 - 54 * q^30 - 20 * q^31 - 20 * q^32 - 32 * q^33 - 18 * q^34 + 32 * q^35 - 54 * q^36 - 68 * q^37 - 26 * q^39 + 72 * q^40 + 100 * q^41 + 44 * q^42 + 180 * q^43 + 88 * q^44 - 2 * q^45 - 30 * q^46 - 68 * q^47 - 50 * q^48 - 72 * q^49 - 46 * q^50 + 128 * q^53 + 16 * q^54 - 100 * q^55 - 84 * q^56 - 20 * q^57 - 40 * q^58 - 164 * q^59 + 8 * q^60 - 124 * q^61 + 6 * q^62 + 52 * q^63 + 52 * q^65 + 80 * q^66 + 118 * q^67 + 72 * q^68 + 72 * q^69 + 164 * q^70 - 86 * q^71 + 72 * q^72 + 58 * q^73 + 68 * q^74 + 48 * q^75 + 14 * q^76 - 104 * q^78 - 40 * q^79 - 140 * q^80 - 2 * q^81 + 24 * q^82 - 188 * q^83 + 4 * q^84 + 96 * q^85 - 180 * q^86 + 38 * q^87 - 204 * q^88 - 110 * q^89 + 52 * q^91 - 156 * q^92 - 20 * q^93 + 26 * q^94 - 78 * q^95 + 40 * q^96 + 178 * q^97 - 14 * q^98 + 208 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/13\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{12}\right)$

Coefficient data

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

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

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

$2$	−0.500000	−	0.133975i	−0.250000	−	0.0669873i	0.131643	−	0.991297i	$-0.457975\pi$
$2$	−0.500000	−	0.133975i	−0.250000	−	0.0669873i	−0.381643	+	0.924310i	$0.624642\pi$
$3$	0.366025	+	0.633975i	0.122008	+	0.211325i	0.920560	−	0.390602i	$-0.127733\pi$
$3$	0.366025	+	0.633975i	0.122008	+	0.211325i	−0.798551	+	0.601927i	$0.794400\pi$
$4$	−3.23205	−	1.86603i	−0.808013	−	0.466506i
$5$	−2.63397	+	2.63397i	−0.526795	+	0.526795i	−0.919615	−	0.392820i	$-0.871499\pi$
$5$	−2.63397	+	2.63397i	−0.526795	+	0.526795i	0.392820	+	0.919615i	$0.371499\pi$
$6$	−0.0980762	−	0.366025i	−0.0163460	−	0.0610042i
$7$	5.73205	−	1.53590i	0.818864	−	0.219414i	0.175014	−	0.984566i	$-0.444003\pi$
$7$	5.73205	−	1.53590i	0.818864	−	0.219414i	0.643850	+	0.765152i	$0.277336\pi$
$8$	2.83013	+	2.83013i	0.353766	+	0.353766i
$9$	4.23205	−	7.33013i	0.470228	−	0.814459i
$10$	1.66987	−	0.964102i	0.166987	−	0.0964102i
$11$	−4.19615	+	15.6603i	−0.381468	+	1.42366i	0.462191	+	0.886780i	$0.347063\pi$
$11$	−4.19615	+	15.6603i	−0.381468	+	1.42366i	−0.843659	+	0.536879i	$0.819603\pi$
$12$		−	2.73205i		−	0.227671i
$13$	−6.50000	−	11.2583i	−0.500000	−	0.866025i
$13$	−6.50000	−	11.2583i	−0.500000	−	0.866025i
$14$	−3.07180			−0.219414
$15$	−2.63397	−	0.705771i	−0.175598	−	0.0470514i
$16$	6.42820	+	11.1340i	0.401763	+	0.695873i
$17$	−15.9904	−	9.23205i	−0.940611	−	0.543062i	−0.0504590	−	0.998726i	$-0.516068\pi$
$17$	−15.9904	−	9.23205i	−0.940611	−	0.543062i	−0.890152	+	0.455664i	$0.849402\pi$
$18$	−3.09808	+	3.09808i	−0.172115	+	0.172115i
$19$	1.63397	+	6.09808i	0.0859987	+	0.320951i	0.995501	−	0.0947465i	$-0.0302040\pi$
$19$	1.63397	+	6.09808i	0.0859987	+	0.320951i	−0.909503	+	0.415698i	$0.863537\pi$
$20$	13.4282	−	3.59808i	0.671410	−	0.179904i
$21$	3.07180	+	3.07180i	0.146276	+	0.146276i
$22$	4.19615	−	7.26795i	0.190734	−	0.330361i
$23$	17.4904	−	10.0981i	0.760451	−	0.439047i	−0.0690064	−	0.997616i	$-0.521983\pi$
$23$	17.4904	−	10.0981i	0.760451	−	0.439047i	0.829458	+	0.558569i	$0.188650\pi$
$24$	−0.758330	+	2.83013i	−0.0315971	+	0.117922i
$25$			11.1244i			0.444974i
$26$	1.74167	+	6.50000i	0.0669873	+	0.250000i
$27$	12.7846			0.473504
$28$	−21.3923	−	5.73205i	−0.764011	−	0.204716i
$29$	−4.69615	−	8.13397i	−0.161936	−	0.280482i	0.773627	−	0.633642i	$-0.218441\pi$
$29$	−4.69615	−	8.13397i	−0.161936	−	0.280482i	−0.935563	+	0.353160i	$0.885107\pi$
$30$	1.22243	+	0.705771i	0.0407477	+	0.0235257i
$31$	−11.9282	+	11.9282i	−0.384781	+	0.384781i	−0.872821	−	0.488040i	$-0.837712\pi$
$31$	−11.9282	+	11.9282i	−0.384781	+	0.384781i	0.488040	+	0.872821i	$0.337712\pi$
$32$	−5.86603	−	21.8923i	−0.183313	−	0.684135i
$33$	−11.4641	+	3.07180i	−0.347397	+	0.0930848i
$34$	6.75833	+	6.75833i	0.198774	+	0.198774i
$35$	−11.0526	+	19.1436i	−0.315787	+	0.546960i
$36$	−27.3564	+	15.7942i	−0.759900	+	0.438729i
$37$	8.11474	−	30.2846i	0.219317	−	0.818503i	−0.765285	−	0.643692i	$-0.777402\pi$
$37$	8.11474	−	30.2846i	0.219317	−	0.818503i	0.984602	−	0.174811i	$-0.0559315\pi$
$38$		−	3.26795i		−	0.0859987i
$39$	4.75833	−	8.24167i	0.122008	−	0.211325i
$40$	−14.9090			−0.372724
$41$	44.9186	+	12.0359i	1.09558	+	0.293558i	0.760962	−	0.648797i	$-0.224728\pi$
$41$	44.9186	+	12.0359i	1.09558	+	0.293558i	0.334614	+	0.942355i	$0.391394\pi$
$42$	−1.12436	−	1.94744i	−0.0267704	−	0.0463676i
$43$	45.0000	+	25.9808i	1.04651	+	0.604204i	0.921671	−	0.387973i	$-0.126825\pi$
$43$	45.0000	+	25.9808i	1.04651	+	0.604204i	0.124841	+	0.992177i	$0.460158\pi$
$44$	42.7846	−	42.7846i	0.972377	−	0.972377i
$45$	8.16025	+	30.4545i	0.181339	+	0.676766i
$46$	−10.0981	+	2.70577i	−0.219523	+	0.0588211i
$47$	−34.3205	−	34.3205i	−0.730224	−	0.730224i	0.240440	−	0.970664i	$-0.422708\pi$
$47$	−34.3205	−	34.3205i	−0.730224	−	0.730224i	−0.970664	+	0.240440i	$0.922708\pi$
$48$	−4.70577	+	8.15064i	−0.0980369	+	0.169805i
$49$	−11.9378	+	6.89230i	−0.243629	+	0.140659i
$50$	1.49038	−	5.56218i	0.0298076	−	0.111244i
$51$		−	13.5167i		−	0.265033i
$52$			48.5167i			0.933013i
$53$	−14.7654			−0.278592			−0.139296	−	0.990251i	$-0.544484\pi$
$53$	−14.7654			−0.278592			−0.139296	+	0.990251i	$0.544484\pi$
$54$	−6.39230	−	1.71281i	−0.118376	−	0.0317188i
$55$	−30.1962	−	52.3013i	−0.549021	−	0.950932i
$56$	20.5692	+	11.8756i	0.367307	+	0.212065i
$57$	−3.26795	+	3.26795i	−0.0573324	+	0.0573324i
$58$	1.25833	+	4.69615i	0.0216953	+	0.0809681i
$59$	−92.9615	+	24.9090i	−1.57562	+	0.422186i	−0.937566	−	0.347807i	$-0.886927\pi$
$59$	−92.9615	+	24.9090i	−1.57562	+	0.422186i	−0.638053	+	0.769993i	$0.720260\pi$
$60$	7.19615	+	7.19615i	0.119936	+	0.119936i
$61$	−12.8135	+	22.1936i	−0.210057	+	0.363829i	−0.951732	−	0.306930i	$-0.900698\pi$
$61$	−12.8135	+	22.1936i	−0.210057	+	0.363829i	0.741675	+	0.670759i	$0.234032\pi$
$62$	7.56218	−	4.36603i	0.121971	−	0.0704198i
$63$	13.0000	−	48.5167i	0.206349	−	0.770106i
$64$		−	39.6936i		−	0.620212i
$65$	46.7750	+	12.5333i	0.719615	+	0.192820i
$66$	6.14359			0.0930848
$67$	39.0263	+	10.4571i	0.582482	+	0.156076i	0.538015	−	0.842935i	$-0.319174\pi$
$67$	39.0263	+	10.4571i	0.582482	+	0.156076i	0.0444669	+	0.999011i	$0.485841\pi$
$68$	34.4545	+	59.6769i	0.506684	+	0.877602i
$69$	12.8038	+	7.39230i	0.185563	+	0.107135i
$70$	8.09103	−	8.09103i	0.115586	−	0.115586i
$71$	−11.9737	−	44.6865i	−0.168644	−	0.629388i	−0.997547	−	0.0699959i	$-0.977701\pi$
$71$	−11.9737	−	44.6865i	−0.168644	−	0.629388i	0.828903	−	0.559392i	$-0.188965\pi$
$72$	32.7224	−	8.76795i	0.454478	−	0.121777i
$73$	−19.2750	−	19.2750i	−0.264041	−	0.264041i	0.562653	−	0.826693i	$-0.309781\pi$
$73$	−19.2750	−	19.2750i	−0.264041	−	0.264041i	−0.826693	+	0.562653i	$0.809781\pi$
$74$	−8.11474	+	14.0551i	−0.109659	+	0.189934i
$75$	−7.05256	+	4.07180i	−0.0940341	+	0.0542906i
$76$	6.09808	−	22.7583i	0.0802378	−	0.299452i
$77$			96.2102i			1.24948i
$78$	−3.48334	+	3.48334i	−0.0446582	+	0.0446582i
$79$	62.7461			0.794255			0.397127	−	0.917763i	$-0.370007\pi$
$79$	62.7461			0.794255			0.397127	+	0.917763i	$0.370007\pi$
$80$	−46.2583	−	12.3949i	−0.578229	−	0.154936i
$81$	−33.4090	−	57.8660i	−0.412456	−	0.714395i
$82$	−20.8468	−	12.0359i	−0.254229	−	0.146779i
$83$	−24.4833	+	24.4833i	−0.294980	+	0.294980i	−0.839044	−	0.544064i	$-0.816885\pi$
$83$	−24.4833	+	24.4833i	−0.294980	+	0.294980i	0.544064	+	0.839044i	$0.316885\pi$
$84$	−4.19615	−	15.6603i	−0.0499542	−	0.186432i
$85$	66.4352	−	17.8013i	0.781591	−	0.209427i
$86$	−19.0192	−	19.0192i	−0.221154	−	0.221154i
$87$	3.43782	−	5.95448i	0.0395152	−	0.0684423i
$88$	−56.1962	+	32.4449i	−0.638593	+	0.368692i
$89$	−23.1699	+	86.4711i	−0.260336	+	0.971586i	0.704708	+	0.709497i	$0.251078\pi$
$89$	−23.1699	+	86.4711i	−0.260336	+	0.971586i	−0.965044	+	0.262089i	$0.915589\pi$
$90$		−	16.3205i		−	0.181339i
$91$	−54.5500	−	54.5500i	−0.599450	−	0.599450i
$92$	−75.3731			−0.819272
$93$	−11.9282	−	3.19615i	−0.128260	−	0.0343672i
$94$	12.5622	+	21.7583i	0.133640	+	0.231472i
$95$	−20.3660	−	11.7583i	−0.214379	−	0.123772i
$96$	11.7321	−	11.7321i	0.122209	−	0.122209i
$97$	14.1891	+	52.9545i	0.146279	+	0.545923i	0.999695	+	0.0246915i	$0.00786034\pi$
$97$	14.1891	+	52.9545i	0.146279	+	0.545923i	−0.853416	+	0.521231i	$0.825473\pi$
$98$	6.89230	−	1.84679i	0.0703296	−	0.0188448i
$99$	97.0333	+	97.0333i	0.980135	+	0.980135i
$100$	20.7583	−	35.9545i	0.207583	−	0.359545i
$101$	138.560	−	79.9974i	1.37188	−	0.792054i	0.380713	−	0.924693i	$-0.375679\pi$
$101$	138.560	−	79.9974i	1.37188	−	0.792054i	0.991164	+	0.132640i	$0.0423453\pi$
$102$	−1.81089	+	6.75833i	−0.0177538	+	0.0662581i
$103$		−	78.7705i		−	0.764762i	−0.924005	−	0.382381i	$-0.875104\pi$
$103$		−	78.7705i		−	0.764762i	0.924005	−	0.382381i	$-0.124896\pi$
$104$	13.4667	−	50.2583i	0.129487	−	0.483253i
$105$	−16.1821			−0.154115
$106$	7.38269	+	1.97818i	0.0696480	+	0.0186621i
$107$	47.6673	+	82.5622i	0.445489	+	0.771609i	0.998086	−	0.0618392i	$-0.0196966\pi$
$107$	47.6673	+	82.5622i	0.445489	+	0.771609i	−0.552597	+	0.833448i	$0.686363\pi$
$108$	−41.3205	−	23.8564i	−0.382597	−	0.220893i
$109$	−51.9808	+	51.9808i	−0.476888	+	0.476888i	−0.904135	−	0.427247i	$-0.859483\pi$
$109$	−51.9808	+	51.9808i	−0.476888	+	0.476888i	0.427247	+	0.904135i	$0.359483\pi$
$110$	8.09103	+	30.1962i	0.0735549	+	0.274510i
$111$	22.1699	−	5.94040i	0.199729	−	0.0535171i
$112$	53.9474	+	53.9474i	0.481674	+	0.481674i
$113$	71.9904	−	124.691i	0.637083	−	1.10346i	−0.348987	−	0.937128i	$-0.613474\pi$
$113$	71.9904	−	124.691i	0.637083	−	1.10346i	0.986070	−	0.166332i	$-0.0531925\pi$
$114$	2.07180	−	1.19615i	0.0181737	−	0.0104926i
$115$	−19.4711	+	72.6673i	−0.169314	+	0.631890i
$116$			35.0526i			0.302177i
$117$	−110.033			−0.940456
$118$	49.8179			0.422186
$119$	−105.837	−	28.3590i	−0.889388	−	0.238311i
$120$	−5.45706	−	9.45191i	−0.0454755	−	0.0787659i
$121$	−122.847	−	70.9256i	−1.01526	−	0.586162i
$122$	9.38011	−	9.38011i	0.0768861	−	0.0768861i
$123$	8.81089	+	32.8827i	0.0716332	+	0.267339i
$124$	60.8109	−	16.2942i	0.490410	−	0.131405i
$125$	−95.1506	−	95.1506i	−0.761205	−	0.761205i
$126$	−13.0000	+	22.5167i	−0.103175	+	0.178704i
$127$	−24.6673	+	14.2417i	−0.194231	+	0.112139i	−0.593962	−	0.804493i	$-0.702437\pi$
$127$	−24.6673	+	14.2417i	−0.194231	+	0.112139i	0.399731	+	0.916633i	$0.369104\pi$
$128$	−28.7820	+	107.416i	−0.224860	+	0.839188i
$129$			38.0385i			0.294872i
$130$	−21.7083	−	12.5333i	−0.166987	−	0.0964102i
$131$	−2.98076			−0.0227539			−0.0113770	−	0.999935i	$-0.503621\pi$
$131$	−2.98076			−0.0227539			−0.0113770	+	0.999935i	$0.503621\pi$
$132$	42.7846	+	11.4641i	0.324126	+	0.0868493i
$133$	18.7321	+	32.4449i	0.140842	+	0.243946i
$134$	−18.1122	−	10.4571i	−0.135165	−	0.0780378i
$135$	−33.6743	+	33.6743i	−0.249440	+	0.249440i
$136$	−19.1269	−	71.3827i	−0.140639	−	0.524873i
$137$	94.6051	−	25.3494i	0.690548	−	0.185032i	0.103555	−	0.994624i	$-0.466978\pi$
$137$	94.6051	−	25.3494i	0.690548	−	0.185032i	0.586993	+	0.809592i	$0.300312\pi$
$138$	−5.41154	−	5.41154i	−0.0392141	−	0.0392141i
$139$	−16.2154	+	28.0859i	−0.116657	+	0.202057i	−0.918441	−	0.395558i	$-0.870551\pi$
$139$	−16.2154	+	28.0859i	−0.116657	+	0.202057i	0.801784	+	0.597614i	$0.203885\pi$
$140$	71.4449	−	41.2487i	0.510320	−	0.294634i
$141$	9.19615	−	34.3205i	0.0652209	−	0.243408i
$142$			23.9474i			0.168644i
$143$	203.583	−	54.5500i	1.42366	−	0.381468i
$144$	108.818			0.755680
$145$	33.7942	+	9.05514i	0.233064	+	0.0624492i
$146$	7.05514	+	12.2199i	0.0483229	+	0.0836976i
$147$	−8.73909	−	5.04552i	−0.0594496	−	0.0343232i
$148$	−82.7391	+	82.7391i	−0.559048	+	0.559048i
$149$	−33.0903	−	123.495i	−0.222083	−	0.828824i	−0.983552	−	0.180624i	$-0.942188\pi$
$149$	−33.0903	−	123.495i	−0.222083	−	0.828824i	0.761469	−	0.648201i	$-0.224478\pi$
$150$	4.07180	−	1.09103i	0.0271453	−	0.00727356i
$151$	127.995	+	127.995i	0.847648	+	0.847648i	0.989839	−	0.142191i	$-0.0454148\pi$
$151$	127.995	+	127.995i	0.847648	+	0.847648i	−0.142191	+	0.989839i	$0.545415\pi$
$152$	−12.6340	+	21.8827i	−0.0831183	+	0.143965i
$153$	−135.344	+	78.1410i	−0.884603	+	0.510726i
$154$	12.8897	−	48.1051i	0.0836995	−	0.312371i
$155$		−	62.8372i		−	0.405401i
$156$	−30.7583	+	17.7583i	−0.197169	+	0.113835i
$157$	−97.7461			−0.622587			−0.311293	−	0.950314i	$-0.600762\pi$
$157$	−97.7461			−0.622587			−0.311293	+	0.950314i	$0.600762\pi$
$158$	−31.3731	−	8.40639i	−0.198564	−	0.0532050i
$159$	−5.40450	−	9.36087i	−0.0339906	−	0.0588734i
$160$	73.1147	+	42.2128i	0.456967	+	0.263830i
$161$	84.7461	−	84.7461i	0.526374	−	0.526374i
$162$	8.95191	+	33.4090i	0.0552587	+	0.206228i
$163$	−122.282	+	32.7654i	−0.750197	+	0.201015i	−0.613605	−	0.789613i	$-0.710281\pi$
$163$	−122.282	+	32.7654i	−0.750197	+	0.201015i	−0.136591	+	0.990627i	$0.543615\pi$
$164$	−122.720	−	122.720i	−0.748292	−	0.748292i
$165$	22.1051	−	38.2872i	0.133970	−	0.232044i
$166$	15.5218	−	8.96152i	0.0935049	−	0.0539851i
$167$	−13.5936	+	50.7321i	−0.0813989	+	0.303785i	−0.994608	−	0.103707i	$-0.966930\pi$
$167$	−13.5936	+	50.7321i	−0.0813989	+	0.303785i	0.913209	+	0.407491i	$0.133596\pi$
$168$			17.3872i			0.103495i
$169$	−84.5000	+	146.358i	−0.500000	+	0.866025i
$170$	−35.6025			−0.209427
$171$	51.6147	+	13.8301i	0.301841	+	0.0808779i
$172$	−96.9615	−	167.942i	−0.563730	−	0.976409i
$173$	118.865	+	68.6269i	0.687083	+	0.396687i	0.802518	−	0.596628i	$-0.203493\pi$
$173$	118.865	+	68.6269i	0.687083	+	0.396687i	−0.115435	+	0.993315i	$0.536826\pi$
$174$	−2.51666	+	2.51666i	−0.0144636	+	0.0144636i
$175$	17.0859	+	63.7654i	0.0976336	+	0.364374i
$176$	−201.335	+	53.9474i	−1.14395	+	0.306520i
$177$	−49.8179	−	49.8179i	−0.281457	−	0.281457i
$178$	23.1699	−	40.1314i	0.130168	−	0.225457i
$179$	0.903811	−	0.521815i	0.00504922	−	0.00291517i	−0.497473	−	0.867479i	$-0.665739\pi$
$179$	0.903811	−	0.521815i	0.00504922	−	0.00291517i	0.502522	+	0.864564i	$0.332405\pi$
$180$	30.4545	−	113.658i	0.169192	−	0.631432i
$181$		−	23.0807i		−	0.127518i	−0.997965	−	0.0637589i	$-0.979691\pi$
$181$		−	23.0807i		−	0.127518i	0.997965	−	0.0637589i	$-0.0203089\pi$
$182$	19.9667	+	34.5833i	0.109707	+	0.190018i
$183$	−18.7602			−0.102515
$184$	78.0788	+	20.9212i	0.424342	+	0.113702i
$185$	58.3949	+	101.143i	0.315648	+	0.546718i
$186$	5.53590	+	3.19615i	0.0297629	+	0.0171836i
$187$	211.674	−	211.674i	1.13195	−	1.13195i
$188$	46.8827	+	174.969i	0.249376	+	0.930684i
$189$	73.2820	−	19.6359i	0.387736	−	0.103893i
$190$	8.60770	+	8.60770i	0.0453037	+	0.0453037i
$191$	−147.002	+	254.615i	−0.769643	+	1.33306i	0.168113	+	0.985768i	$0.446233\pi$
$191$	−147.002	+	254.615i	−0.769643	+	1.33306i	−0.937756	+	0.347294i	$0.887101\pi$
$192$	25.1647	−	14.5289i	0.131066	−	0.0756711i
$193$	85.5507	−	319.279i	0.443268	−	1.65430i	−0.277202	−	0.960812i	$-0.589407\pi$
$193$	85.5507	−	319.279i	0.443268	−	1.65430i	0.720470	−	0.693486i	$-0.243926\pi$
$194$		−	28.3782i		−	0.146279i
$195$	9.17503	+	34.2417i	0.0470514	+	0.175598i
$196$	51.4449			0.262474
$197$	85.1122	+	22.8057i	0.432041	+	0.115765i	0.468284	−	0.883578i	$-0.344872\pi$
$197$	85.1122	+	22.8057i	0.432041	+	0.115765i	−0.0362429	+	0.999343i	$0.511539\pi$
$198$	−35.5167	−	61.5167i	−0.179377	−	0.310690i
$199$	174.452	+	100.720i	0.876643	+	0.506130i	0.869550	−	0.493845i	$-0.164409\pi$
$199$	174.452	+	100.720i	0.876643	+	0.506130i	0.00709275	+	0.999975i	$0.497742\pi$
$200$	−31.4833	+	31.4833i	−0.157417	+	0.157417i
$201$	7.65510	+	28.5692i	0.0380851	+	0.142135i
$202$	−79.9974	+	21.4352i	−0.396027	+	0.106115i
$203$	−39.4115	−	39.4115i	−0.194146	−	0.194146i
$204$	−25.2224	+	43.6865i	−0.123639	+	0.214150i
$205$	−150.017	+	86.6122i	−0.731789	+	0.422498i
$206$	−10.5532	+	39.3853i	−0.0512294	+	0.191191i
$207$		−	170.942i		−	0.825808i
$208$	83.5666	−	144.742i	0.401763	−	0.695873i
$209$	−102.354			−0.489731
$210$	8.09103	+	2.16799i	0.0385287	+	0.0103237i
$211$	−36.6481	−	63.4763i	−0.173687	−	0.300836i	0.766019	−	0.642818i	$-0.222235\pi$
$211$	−36.6481	−	63.4763i	−0.173687	−	0.300836i	−0.939706	+	0.341983i	$0.888902\pi$
$212$	47.7224	+	27.5526i	0.225106	+	0.129965i
$213$	23.9474	−	23.9474i	0.112429	−	0.112429i
$214$	−12.7724	−	47.6673i	−0.0596842	−	0.222744i
$215$	−186.962	+	50.0962i	−0.869588	+	0.233006i
$216$	36.1821	+	36.1821i	0.167510	+	0.167510i
$217$	−50.0526	+	86.6936i	−0.230657	+	0.399510i
$218$	32.9545	−	19.0263i	0.151167	−	0.0872765i
$219$	5.16472	−	19.2750i	0.0235832	−	0.0880137i
$220$			225.387i			1.02449i
$221$			240.033i			1.08612i
$222$	−11.8808			−0.0535171
$223$	−367.533	−	98.4801i	−1.64813	−	0.441615i	−0.689040	−	0.724723i	$-0.741968\pi$
$223$	−367.533	−	98.4801i	−1.64813	−	0.441615i	−0.959088	+	0.283108i	$0.908634\pi$
$224$	−67.2487	−	116.478i	−0.300217	−	0.519992i
$225$	81.5429	+	47.0788i	0.362413	+	0.209239i
$226$	−52.7006	+	52.7006i	−0.233189	+	0.233189i
$227$	−108.280	−	404.107i	−0.477005	−	1.78021i	−0.613640	−	0.789586i	$-0.710296\pi$
$227$	−108.280	−	404.107i	−0.477005	−	1.78021i	0.136635	−	0.990621i	$-0.456371\pi$
$228$	16.6603	−	4.46410i	0.0730713	−	0.0195794i
$229$	−72.2679	−	72.2679i	−0.315581	−	0.315581i	0.531486	−	0.847067i	$-0.321634\pi$
$229$	−72.2679	−	72.2679i	−0.315581	−	0.315581i	−0.847067	+	0.531486i	$0.821634\pi$
$230$	19.4711	−	33.7250i	0.0846571	−	0.146630i
$231$	−60.9948	+	35.2154i	−0.264047	+	0.152448i
$232$	9.72947	−	36.3109i	0.0419374	−	0.156512i
$233$			256.592i			1.10125i	0.834751	+	0.550627i	$0.185611\pi$
$233$			256.592i			1.10125i	−0.834751	+	0.550627i	$0.814389\pi$
$234$	55.0167	+	14.7417i	0.235114	+	0.0629986i
$235$	180.799			0.769356
$236$	346.937	+	92.9615i	1.47007	+	0.393905i
$237$	22.9667	+	39.7795i	0.0969058	+	0.167846i
$238$	49.1192	+	28.3590i	0.206383	+	0.119155i
$239$	39.3449	−	39.3449i	0.164623	−	0.164623i	−0.619988	−	0.784611i	$-0.712863\pi$
$239$	39.3449	−	39.3449i	0.164623	−	0.164623i	0.784611	+	0.619988i	$0.212863\pi$
$240$	−9.07368	−	33.8634i	−0.0378070	−	0.141098i
$241$	233.351	−	62.5263i	0.968262	−	0.259445i	0.260168	−	0.965563i	$-0.416222\pi$
$241$	233.351	−	62.5263i	0.968262	−	0.259445i	0.708094	+	0.706118i	$0.249555\pi$
$242$	51.9212	+	51.9212i	0.214550	+	0.214550i
$243$	81.9878	−	142.007i	0.337398	−	0.584391i
$244$	82.8275	−	47.8205i	0.339457	−	0.195986i
$245$	13.2898	−	49.5981i	0.0542439	−	0.202441i
$246$		−	17.6218i		−	0.0716332i
$247$	58.0333	−	58.0333i	0.234953	−	0.234953i
$248$	−67.5167			−0.272245
$249$	−24.4833	−	6.56029i	−0.0983267	−	0.0263466i
$250$	34.8275	+	60.3231i	0.139310	+	0.241292i
$251$	−221.375	−	127.811i	−0.881972	−	0.509207i	−0.0106638	−	0.999943i	$-0.503394\pi$
$251$	−221.375	−	127.811i	−0.881972	−	0.509207i	−0.871308	+	0.490736i	$0.836728\pi$
$252$	−132.550	+	132.550i	−0.525992	+	0.525992i
$253$	84.7461	+	316.277i	0.334965	+	1.25011i
$254$	14.2417	−	3.81604i	0.0560696	−	0.0150238i
$255$	35.6025	+	35.6025i	0.139618	+	0.139618i
$256$	−50.6051	+	87.6506i	−0.197676	+	0.342385i
$257$	85.7731	−	49.5211i	0.333747	−	0.192689i	−0.323756	−	0.946141i	$-0.604946\pi$
$257$	85.7731	−	49.5211i	0.333747	−	0.192689i	0.657504	+	0.753451i	$0.271612\pi$
$258$	5.09619	−	19.0192i	0.0197527	−	0.0737180i
$259$		−	186.056i		−	0.718364i
$260$	−127.792	−	127.792i	−0.491506	−	0.491506i
$261$	−79.4974			−0.304588
$262$	1.49038	+	0.399346i	0.00568848	+	0.00152422i
$263$	127.669	+	221.130i	0.485434	+	0.840797i	0.999860	−	0.0167383i	$-0.00532822\pi$
$263$	127.669	+	221.130i	0.485434	+	0.840797i	−0.514426	+	0.857535i	$0.671995\pi$
$264$	−41.1384	−	23.7513i	−0.155827	−	0.0899670i
$265$	38.8916	−	38.8916i	0.146761	−	0.146761i
$266$	−5.01924	−	18.7321i	−0.0188693	−	0.0704212i
$267$	−63.3013	+	16.9615i	−0.237083	+	0.0635263i
$268$	−106.622	−	106.622i	−0.397842	−	0.397842i
$269$	46.3538	−	80.2872i	0.172319	−	0.298465i	−0.766911	−	0.641753i	$-0.778207\pi$
$269$	46.3538	−	80.2872i	0.172319	−	0.298465i	0.939230	+	0.343288i	$0.111541\pi$
$270$	21.3487	−	12.3257i	0.0790692	−	0.0456506i
$271$	−113.133	+	422.219i	−0.417466	+	1.55800i	0.362379	+	0.932031i	$0.381965\pi$
$271$	−113.133	+	422.219i	−0.417466	+	1.55800i	−0.779845	+	0.625973i	$0.784702\pi$
$272$		−	237.382i		−	0.872728i
$273$	14.6166	−	54.5500i	0.0535407	−	0.199817i
$274$	−50.6987			−0.185032
$275$	−174.210	−	46.6795i	−0.633492	−	0.169744i
$276$	−27.5885	−	47.7846i	−0.0999582	−	0.173133i
$277$	−302.110	−	174.423i	−1.09065	−	0.629686i	−0.156899	−	0.987615i	$-0.550150\pi$
$277$	−302.110	−	174.423i	−1.09065	−	0.629686i	−0.933749	+	0.357929i	$0.883483\pi$
$278$	11.8705	−	11.8705i	0.0426996	−	0.0426996i
$279$	36.9545	+	137.916i	0.132453	+	0.494323i
$280$	−85.4589	+	22.8987i	−0.305211	+	0.0817809i
$281$	91.9737	+	91.9737i	0.327309	+	0.327309i	0.851562	−	0.524254i	$-0.175656\pi$
$281$	91.9737	+	91.9737i	0.327309	+	0.327309i	−0.524254	+	0.851562i	$0.675656\pi$
$282$	−9.19615	+	15.9282i	−0.0326105	+	0.0564830i
$283$	−30.8038	+	17.7846i	−0.108848	+	0.0628431i	−0.553435	−	0.832892i	$-0.686683\pi$
$283$	−30.8038	+	17.7846i	−0.108848	+	0.0628431i	0.444588	+	0.895735i	$0.353350\pi$
$284$	−44.6865	+	166.772i	−0.157347	+	0.587227i
$285$		−	17.2154i		−	0.0604049i
$286$	−109.100			−0.381468
$287$	275.962			0.961538
$288$	−185.299	−	49.6506i	−0.643398	−	0.172398i
$289$	25.9615	+	44.9667i	0.0898323	+	0.155594i
$290$	−15.6840	−	9.05514i	−0.0540826	−	0.0312246i
$291$	−28.3782	+	28.3782i	−0.0975197	+	0.0975197i
$292$	26.3301	+	98.2654i	0.0901717	+	0.336525i
$293$	386.758	−	103.631i	1.31999	−	0.353691i	0.471017	−	0.882124i	$-0.343887\pi$
$293$	386.758	−	103.631i	1.31999	−	0.353691i	0.848975	+	0.528433i	$0.177220\pi$
$294$	3.69358	+	3.69358i	0.0125632	+	0.0125632i
$295$	179.249	−	310.468i	0.607623	−	1.05243i
$296$	108.675	−	62.7436i	0.367145	−	0.211971i
$297$	−53.6462	+	200.210i	−0.180627	+	0.674109i
$298$			66.1807i			0.222083i
$299$	−227.375	−	131.275i	−0.760451	−	0.439047i
$300$	30.3923			0.101308
$301$	297.846	+	79.8076i	0.989522	+	0.265142i
$302$	−46.8494	−	81.1455i	−0.155130	−	0.268694i
$303$	101.433	+	58.5622i	0.334761	+	0.193275i
$304$	−57.3923	+	57.3923i	−0.188790	+	0.188790i
$305$	−24.7070	−	92.2077i	−0.0810065	−	0.302320i
$306$	78.1410	−	20.9378i	0.255363	−	0.0684243i
$307$	260.219	+	260.219i	0.847619	+	0.847619i	0.989836	−	0.142216i	$-0.0454228\pi$
$307$	260.219	+	260.219i	0.847619	+	0.847619i	−0.142216	+	0.989836i	$0.545423\pi$
$308$	179.531	−	310.956i	0.582892	−	1.00960i
$309$	49.9385	−	28.8320i	0.161613	−	0.0933075i
$310$	−8.41858	+	31.4186i	−0.0271567	+	0.101350i
$311$		−	71.4782i		−	0.229833i	−0.993375	−	0.114917i	$-0.963340\pi$
$311$		−	71.4782i		−	0.229833i	0.993375	−	0.114917i	$-0.0366601\pi$
$312$	36.7917	−	9.85829i	0.117922	−	0.0315971i
$313$	−394.315			−1.25979			−0.629897	−	0.776679i	$-0.716903\pi$
$313$	−394.315			−1.25979			−0.629897	+	0.776679i	$0.716903\pi$
$314$	48.8731	+	13.0955i	0.155647	+	0.0417054i
$315$	93.5500	+	162.033i	0.296984	+	0.514391i
$316$	−202.799	−	117.086i	−0.641768	−	0.370525i
$317$	−206.054	+	206.054i	−0.650014	+	0.650014i	−0.952996	−	0.302982i	$-0.902018\pi$
$317$	−206.054	+	206.054i	−0.650014	+	0.650014i	0.302982	+	0.952996i	$0.402018\pi$
$318$	1.44813	+	5.40450i	0.00455387	+	0.0169953i
$319$	147.086	−	39.4115i	0.461084	−	0.123547i
$320$	104.552	+	104.552i	0.326725	+	0.326725i
$321$	−34.8949	+	60.4397i	−0.108707	+	0.188286i
$322$	−53.7269	+	31.0192i	−0.166854	+	0.0963330i
$323$	30.1699	−	112.595i	0.0934052	−	0.348593i
$324$			249.368i			0.769654i
$325$	125.242	−	72.3083i	0.385359	−	0.222487i
$326$	65.5307			0.201015
$327$	−51.9808	−	13.9282i	−0.158963	−	0.0425939i
$328$	93.0622	+	161.188i	0.283726	+	0.491428i
$329$	−249.440	−	144.014i	−0.758175	−	0.437733i
$330$	−16.1821	+	16.1821i	−0.0490366	+	0.0490366i
$331$	−119.397	−	445.597i	−0.360717	−	1.34622i	−0.873135	−	0.487479i	$-0.837917\pi$
$331$	−119.397	−	445.597i	−0.360717	−	1.34622i	0.512417	−	0.858737i	$-0.328750\pi$
$332$	124.818	−	33.4449i	0.375958	−	0.100738i
$333$	−187.648	−	187.648i	−0.563508	−	0.563508i
$334$	13.5936	−	23.5448i	0.0406994	−	0.0704935i
$335$	−130.338	+	75.2506i	−0.389068	+	0.224629i
$336$	−14.4552	+	53.9474i	−0.0430213	+	0.160558i
$337$			144.779i			0.429613i	0.976657	+	0.214806i	$0.0689120\pi$
$337$			144.779i			0.429613i	−0.976657	+	0.214806i	$0.931088\pi$
$338$	61.8583	−	61.8583i	0.183013	−	0.183013i
$339$	105.401			0.310918
$340$	−247.940	−	66.4352i	−0.729234	−	0.195398i
$341$	−136.746	−	236.851i	−0.401015	−	0.694578i
$342$	−23.9545	−	13.8301i	−0.0700423	−	0.0404390i
$343$	−263.454	+	263.454i	−0.768087	+	0.768087i
$344$	53.8269	+	200.885i	0.156473	+	0.583967i
$345$	−53.1962	+	14.2539i	−0.154192	+	0.0413156i
$346$	−50.2384	−	50.2384i	−0.145198	−	0.145198i
$347$	−243.590	+	421.911i	−0.701989	+	1.21588i	0.265778	+	0.964034i	$0.414371\pi$
$347$	−243.590	+	421.911i	−0.701989	+	1.21588i	−0.967767	+	0.251847i	$0.918962\pi$
$348$	−22.2224	+	12.8301i	−0.0638576	+	0.0368682i
$349$	−3.04036	+	11.3468i	−0.00871164	+	0.0325123i	−0.970145	−	0.242526i	$-0.922024\pi$
$349$	−3.04036	+	11.3468i	−0.00871164	+	0.0325123i	0.961433	+	0.275039i	$0.0886906\pi$
$350$		−	34.1718i		−	0.0976336i
$351$	−83.1000	−	143.933i	−0.236752	−	0.410067i
$352$	367.454			1.04390
$353$	−276.169	−	73.9993i	−0.782349	−	0.209630i	−0.154529	−	0.987988i	$-0.549386\pi$
$353$	−276.169	−	73.9993i	−0.782349	−	0.209630i	−0.627820	+	0.778358i	$0.716053\pi$
$354$	18.2346	+	31.5833i	0.0515102	+	0.0892184i
$355$	149.242	+	86.1647i	0.420399	+	0.242718i
$356$	236.244	−	236.244i	0.663605	−	0.663605i
$357$	−20.7602	−	77.4782i	−0.0581519	−	0.217026i
$358$	−0.521815	+	0.139820i	−0.00145758	+	0.000390559i
$359$	92.0770	+	92.0770i	0.256482	+	0.256482i	0.823622	−	0.567140i	$-0.191950\pi$
$359$	92.0770	+	92.0770i	0.256482	+	0.256482i	−0.567140	+	0.823622i	$0.691950\pi$
$360$	−63.0955	+	109.285i	−0.175265	+	0.303568i
$361$	278.119	−	160.572i	0.770411	−	0.444797i
$362$	−3.09223	+	11.5404i	−0.00854207	+	0.0318795i
$363$		−	103.842i		−	0.286067i
$364$	74.5167	+	278.100i	0.204716	+	0.764011i
$365$	101.540			0.278191
$366$	9.38011	+	2.51339i	0.0256287	+	0.00686719i
$367$	−6.27499	−	10.8686i	−0.0170981	−	0.0296147i	0.857350	−	0.514734i	$-0.172109\pi$
$367$	−6.27499	−	10.8686i	−0.0170981	−	0.0296147i	−0.874448	+	0.485120i	$0.838776\pi$
$368$	224.863	+	129.825i	0.611042	+	0.352785i
$369$	278.322	−	278.322i	0.754261	−	0.754261i
$370$	−15.6469	−	58.3949i	−0.0422888	−	0.157824i
$371$	−84.6359	+	22.6781i	−0.228129	+	0.0611270i
$372$	32.5885	+	32.5885i	0.0876034	+	0.0876034i
$373$	155.638	−	269.574i	0.417261	−	0.722718i	−0.578402	−	0.815752i	$-0.696323\pi$
$373$	155.638	−	269.574i	0.417261	−	0.722718i	0.995663	+	0.0930345i	$0.0296567\pi$
$374$	−134.196	+	77.4782i	−0.358813	+	0.207161i
$375$	25.4955	−	95.1506i	0.0679881	−	0.253735i
$376$		−	194.263i		−	0.516656i
$377$	−61.0500	+	105.742i	−0.161936	+	0.280482i
$378$	−39.2717			−0.103893
$379$	379.858	+	101.783i	1.00226	+	0.268556i	0.722394	−	0.691482i	$-0.243042\pi$
$379$	379.858	+	101.783i	1.00226	+	0.268556i	0.279871	+	0.960038i	$0.409708\pi$
$380$	43.8827	+	76.0070i	0.115481	+	0.200019i
$381$	−18.0577	−	10.4256i	−0.0473956	−	0.0273638i
$382$	107.613	−	107.613i	0.281709	−	0.281709i
$383$	191.061	+	713.051i	0.498855	+	1.86175i	0.507269	+	0.861788i	$0.330655\pi$
$383$	191.061	+	713.051i	0.498855	+	1.86175i	−0.00841386	+	0.999965i	$0.502678\pi$
$384$	−78.6340	+	21.0699i	−0.204776	+	0.0548696i
$385$	−253.415	−	253.415i	−0.658222	−	0.658222i
$386$	−85.5507	+	148.178i	−0.221634	+	0.383881i
$387$	380.885	−	219.904i	0.984198	−	0.568227i
$388$	52.9545	−	197.629i	0.136481	−	0.509353i
$389$			344.478i			0.885548i	0.896633	+	0.442774i	$0.146006\pi$
$389$			344.478i			0.885548i	−0.896633	+	0.442774i	$0.853994\pi$
$390$		−	18.3501i		−	0.0470514i
$391$	−372.904			−0.953718
$392$	−53.2917	−	14.2795i	−0.135948	−	0.0364272i
$393$	−1.09103	−	1.88973i	−0.00277617	−	0.00480847i
$394$	−39.5007	−	22.8057i	−0.100256	−	0.0578826i
$395$	−165.272	+	165.272i	−0.418409	+	0.418409i
$396$	−132.550	−	494.683i	−0.334722	−	1.24920i
$397$	−678.422	+	181.783i	−1.70887	+	0.457891i	−0.975148	−	0.221556i	$-0.928886\pi$
$397$	−678.422	+	181.783i	−1.70887	+	0.457891i	−0.733725	+	0.679447i	$0.762220\pi$
$398$	−73.7321	−	73.7321i	−0.185256	−	0.185256i
$399$	−13.7128	+	23.7513i	−0.0343680	+	0.0595270i
$400$	−123.858	+	71.5096i	−0.309646	+	0.178774i
$401$	146.833	−	547.989i	0.366168	−	1.36656i	−0.499663	−	0.866220i	$-0.666543\pi$
$401$	146.833	−	547.989i	0.366168	−	1.36656i	0.865831	−	0.500336i	$-0.166790\pi$
$402$		−	15.3102i		−	0.0380851i
$403$	211.825	+	56.7583i	0.525620	+	0.140840i
$404$	−597.109			−1.47799
$405$	240.416	+	64.4193i	0.593620	+	0.159060i
$406$	14.4256	+	24.9859i	0.0355311	+	0.0615417i
$407$	440.214	+	254.158i	1.08161	+	0.624466i
$408$	38.2539	−	38.2539i	0.0937595	−	0.0937595i
$409$	26.3212	+	98.2321i	0.0643550	+	0.240176i	0.990609	−	0.136723i	$-0.0436570\pi$
$409$	26.3212	+	98.2321i	0.0643550	+	0.240176i	−0.926254	+	0.376899i	$0.876990\pi$
$410$	86.6122	−	23.2077i	0.211249	−	0.0566040i
$411$	50.6987	+	50.6987i	0.123355	+	0.123355i
$412$	−146.988	+	254.590i	−0.356767	+	0.617938i
$413$	−494.603	+	285.559i	−1.19758	+	0.691426i
$414$	−22.9019	+	85.4711i	−0.0553187	+	0.206452i
$415$		−	128.977i		−	0.310788i
$416$	−208.342	+	208.342i	−0.500821	+	0.500821i
$417$	−23.7410			−0.0569328
$418$	51.1769	+	13.7128i	0.122433	+	0.0328058i
$419$	−322.279	−	558.203i	−0.769162	−	1.33223i	−0.938018	−	0.346587i	$-0.887341\pi$
$419$	−322.279	−	558.203i	−0.769162	−	1.33223i	0.168856	−	0.985641i	$-0.445993\pi$
$420$	52.3013	+	30.1962i	0.124527	+	0.0718956i
$421$	346.619	−	346.619i	0.823322	−	0.823322i	−0.163261	−	0.986583i	$-0.552201\pi$
$421$	346.619	−	346.619i	0.823322	−	0.823322i	0.986583	+	0.163261i	$0.0522013\pi$
$422$	9.81982	+	36.6481i	0.0232697	+	0.0868437i
$423$	−396.820	+	106.328i	−0.938108	+	0.251365i
$424$	−41.7879	−	41.7879i	−0.0985563	−	0.0985563i
$425$	102.701	−	177.883i	0.241649	−	0.418547i
$426$	−15.1821	+	8.76537i	−0.0356387	+	0.0205760i
$427$	−39.3604	+	146.895i	−0.0921788	+	0.344016i
$428$		−	355.794i		−	0.831293i
$429$	109.100	+	109.100i	0.254312	+	0.254312i
$430$	100.192			0.233006
$431$	101.699	+	27.2501i	0.235960	+	0.0632253i	0.374861	−	0.927081i	$-0.377690\pi$
$431$	101.699	+	27.2501i	0.235960	+	0.0632253i	−0.138901	+	0.990306i	$0.544357\pi$
$432$	82.1821	+	142.344i	0.190236	+	0.329499i
$433$	596.892	+	344.616i	1.37850	+	0.795880i	0.991979	−	0.126399i	$-0.0403421\pi$
$433$	596.892	+	344.616i	1.37850	+	0.795880i	0.386525	+	0.922279i	$0.373675\pi$
$434$	36.6410	−	36.6410i	0.0844263	−	0.0844263i
$435$	6.62882	+	24.7391i	0.0152387	+	0.0568715i
$436$	265.002	−	71.0070i	0.607802	−	0.162860i
$437$	90.1577	+	90.1577i	0.206310	+	0.206310i
$438$	−5.16472	+	8.94555i	−0.0117916	+	0.0204236i
$439$	78.0577	−	45.0666i	0.177808	−	0.102657i	−0.408454	−	0.912779i	$-0.633932\pi$
$439$	78.0577	−	45.0666i	0.177808	−	0.102657i	0.586262	+	0.810121i	$0.300599\pi$
$440$	62.5603	−	233.478i	0.142182	−	0.530632i
$441$			116.674i			0.264568i
$442$	32.1584	−	120.017i	0.0727565	−	0.271531i
$443$	642.277			1.44983			0.724917	−	0.688836i	$-0.241878\pi$
$443$	642.277			1.44983			0.724917	+	0.688836i	$0.241878\pi$
$444$	−82.7391	−	22.1699i	−0.186349	−	0.0499321i
$445$	−166.734	−	288.792i	−0.374683	−	0.648970i
$446$	170.572	+	98.4801i	0.382450	+	0.220807i
$447$	66.1807	−	66.1807i	0.148055	−	0.148055i
$448$	−60.9653	−	227.526i	−0.136083	−	0.507870i
$449$	22.6007	−	6.05583i	0.0503355	−	0.0134874i	−0.233563	−	0.972342i	$-0.575039\pi$
$449$	22.6007	−	6.05583i	0.0503355	−	0.0134874i	0.283899	+	0.958854i	$0.408372\pi$
$450$	−34.4641	−	34.4641i	−0.0765869	−	0.0765869i
$451$	−376.970	+	652.932i	−0.835855	+	1.44774i
$452$	−465.353	+	268.672i	−1.02954	+	0.594407i
$453$	−34.2961	+	127.995i	−0.0757089	+	0.282549i
$454$			216.560i			0.477005i
$455$	287.367			0.631575
$456$	−18.4974			−0.0405645
$457$	228.698	+	61.2795i	0.500433	+	0.134091i	0.500201	−	0.865909i	$-0.333259\pi$
$457$	228.698	+	61.2795i	0.500433	+	0.134091i	0.000232237		1.00000i	$0.499926\pi$
$458$	26.4519	+	45.8160i	0.0577553	+	0.100035i
$459$	−204.431	−	118.028i	−0.445383	−	0.257142i
$460$	198.531	−	198.531i	0.431589	−	0.431589i
$461$	−12.6032	−	47.0359i	−0.0273389	−	0.102030i	0.950908	−	0.309473i	$-0.100153\pi$
$461$	−12.6032	−	47.0359i	−0.0273389	−	0.102030i	−0.978247	+	0.207443i	$0.933486\pi$
$462$	35.2154	−	9.43594i	0.0762238	−	0.0204241i
$463$	−521.191	−	521.191i	−1.12568	−	1.12568i	−0.990871	−	0.134811i	$-0.956957\pi$
$463$	−521.191	−	521.191i	−1.12568	−	1.12568i	−0.134811	−	0.990871i	$-0.543043\pi$
$464$	60.3756	−	104.574i	0.130120	−	0.225374i
$465$	39.8372	−	23.0000i	0.0856713	−	0.0494624i
$466$	34.3768	−	128.296i	0.0737700	−	0.275314i
$467$		−	141.415i		−	0.302817i	−0.988471	−	0.151408i	$-0.951619\pi$
$467$		−	141.415i		−	0.302817i	0.988471	−	0.151408i	$-0.0483808\pi$
$468$	355.633	+	205.325i	0.759900	+	0.438729i
$469$	239.762			0.511219
$470$	−90.3993	−	24.2224i	−0.192339	−	0.0515371i
$471$	−35.7776	−	61.9686i	−0.0759609	−	0.131568i
$472$	−333.588	−	192.597i	−0.706755	−	0.408045i
$473$	−595.692	+	595.692i	−1.25939	+	1.25939i
$474$	−6.15390	−	22.9667i	−0.0129829	−	0.0484529i
$475$	−67.8372	+	18.1769i	−0.142815	+	0.0382672i
$476$	289.153	+	289.153i	0.607463	+	0.607463i
$477$	−62.4878	+	108.232i	−0.131002	+	0.226902i
$478$	−24.9437	+	14.4012i	−0.0521834	+	0.0301281i
$479$	193.783	−	723.207i	0.404557	−	1.50983i	−0.400315	−	0.916378i	$-0.631099\pi$
$479$	193.783	−	723.207i	0.404557	−	1.50983i	0.804872	−	0.593449i	$-0.202234\pi$
$480$			61.8038i			0.128758i
$481$	−393.700	+	105.492i	−0.818503	+	0.219317i
$482$	−125.053			−0.259445
$483$	84.7461	+	22.7077i	0.175458	+	0.0470138i
$484$	264.698	+	458.470i	0.546897	+	0.947253i
$485$	−176.855	−	102.107i	−0.364648	−	0.210530i
$486$	−60.0192	+	60.0192i	−0.123496	+	0.123496i
$487$	−62.9371	−	234.885i	−0.129234	−	0.482309i	0.870721	−	0.491778i	$-0.163653\pi$
$487$	−62.9371	−	234.885i	−0.129234	−	0.482309i	−0.999955	+	0.00946847i	$0.996986\pi$
$488$	−99.0744	+	26.5469i	−0.203021	+	0.0543994i
$489$	−65.5307	−	65.5307i	−0.134010	−	0.134010i
$490$	−13.2898	+	23.0185i	−0.0271220	+	0.0469766i
$491$	−73.3191	+	42.3308i	−0.149326	+	0.0862135i	−0.572801	−	0.819694i	$-0.694143\pi$
$491$	−73.3191	+	42.3308i	−0.149326	+	0.0862135i	0.423475	+	0.905908i	$0.360810\pi$
$492$	32.8827	−	122.720i	0.0668347	−	0.249431i
$493$			173.420i			0.351766i
$494$	−36.7917	+	21.2417i	−0.0744770	+	0.0429993i
$495$	−511.167			−1.03266
$496$	−209.485	−	56.1314i	−0.422349	−	0.113168i
$497$	−137.268	−	237.755i	−0.276193	−	0.478380i
$498$	11.3628	+	6.56029i	0.0228168	+	0.0131733i
$499$	−134.397	+	134.397i	−0.269334	+	0.269334i	−0.828832	−	0.559498i	$-0.810994\pi$
$499$	−134.397	+	134.397i	−0.269334	+	0.269334i	0.559498	+	0.828832i	$0.310994\pi$
$500$	129.978	+	485.085i	0.259956	+	0.970170i
$501$	−37.1384	+	9.95121i	−0.0741286	+	0.0198627i
$502$	93.5641	+	93.5641i	0.186383	+	0.186383i
$503$	398.200	−	689.703i	0.791650	−	1.37118i	−0.133295	−	0.991076i	$-0.542556\pi$
$503$	398.200	−	689.703i	0.791650	−	1.37118i	0.924945	−	0.380102i	$-0.124111\pi$
$504$	174.100	−	100.517i	0.345436	−	0.199438i
$505$	−154.251	+	575.674i	−0.305448	+	1.13995i
$506$		−	169.492i		−	0.334965i
$507$	−123.717			−0.244017
$508$	106.301			0.209254
$509$	79.6051	+	21.3301i	0.156395	+	0.0419059i	0.336167	−	0.941802i	$-0.390869\pi$
$509$	79.6051	+	21.3301i	0.156395	+	0.0419059i	−0.179772	+	0.983708i	$0.557536\pi$
$510$	−13.0314	−	22.5711i	−0.0255518	−	0.0442571i
$511$	−140.090	−	80.8808i	−0.274148	−	0.158279i
$512$	351.581	−	351.581i	0.686682	−	0.686682i
$513$	20.8897	+	77.9615i	0.0407207	+	0.151972i
$514$	−49.5211	+	13.2691i	−0.0963446	+	0.0258155i
$515$	207.480	+	207.480i	0.402873	+	0.402873i
$516$	70.9808	−	122.942i	0.137560	−	0.238260i
$517$	681.482	−	393.454i	1.31815	−	0.761032i
$518$	−24.9268	+	93.0282i	−0.0481213	+	0.179591i
$519$			100.477i			0.193597i
$520$	96.9083	+	167.850i	0.186362	+	0.322789i
$521$	677.011			1.29945			0.649723	−	0.760171i	$-0.274885\pi$
$521$	677.011			1.29945			0.649723	+	0.760171i	$0.274885\pi$
$522$	39.7487	+	10.6506i	0.0761470	+	0.0204035i
$523$	91.8269	+	159.049i	0.175577	+	0.304109i	0.940361	−	0.340179i	$-0.110488\pi$
$523$	91.8269	+	159.049i	0.175577	+	0.304109i	−0.764784	+	0.644287i	$0.777154\pi$
$524$	9.63397	+	5.56218i	0.0183854	+	0.0106148i
$525$	−34.1718	+	34.1718i	−0.0650891	+	0.0650891i
$526$	−34.2089	−	127.669i	−0.0650358	−	0.242717i
$527$	300.858	−	80.6147i	0.570889	−	0.152969i
$528$	−107.895	−	107.895i	−0.204346	−	0.204346i
$529$	−60.5577	+	104.889i	−0.114476	+	0.198278i
$530$	−24.6563	+	14.2353i	−0.0465213	+	0.0268591i
$531$	−210.832	+	786.836i	−0.397047	+	1.48180i
$532$		−	139.818i		−	0.262816i
$533$	−156.467	−	583.942i	−0.293558	−	1.09558i
$534$	33.9230			0.0635263
$535$	−343.021	−	91.9122i	−0.641161	−	0.171799i
$536$	80.8545	+	140.044i	0.150848	+	0.261276i
$537$	0.661635	+	0.381995i	0.00123210	+	0.000711351i
$538$	−33.9334	+	33.9334i	−0.0630732	+	0.0630732i
$539$	−57.8423	−	215.870i	−0.107314	−	0.400502i
$540$	171.674	−	46.0000i	0.317915	−	0.0851852i
$541$	317.629	+	317.629i	0.587114	+	0.587114i	0.936849	−	0.349735i	$-0.113728\pi$
$541$	317.629	+	317.629i	0.587114	+	0.587114i	−0.349735	+	0.936849i	$0.613728\pi$
$542$	113.133	−	195.953i	0.208733	−	0.361536i
$543$	14.6326	−	8.44813i	0.0269477	−	0.0155583i
$544$	−108.311	+	404.222i	−0.199101	+	0.743055i
$545$		−	273.832i		−	0.502444i
$546$	−14.6166	+	25.3167i	−0.0267704	+	0.0463676i
$547$	−724.904			−1.32524			−0.662618	−	0.748958i	$-0.730555\pi$
$547$	−724.904			−1.32524			−0.662618	+	0.748958i	$0.730555\pi$
$548$	−353.071	−	94.6051i	−0.644290	−	0.172637i
$549$	108.454	+	187.849i	0.197549	+	0.342165i
$550$	80.8513	+	46.6795i	0.147002	+	0.0848718i
$551$	41.9282	−	41.9282i	0.0760947	−	0.0760947i
$552$	15.3154	+	57.1577i	0.0277452	+	0.103547i
$553$	359.664	−	96.3717i	0.650387	−	0.174271i
$554$	127.687	+	127.687i	0.230481	+	0.230481i
$555$	−42.7480	+	74.0417i	−0.0770235	+	0.133409i
$556$	104.818	−	60.5167i	0.188521	−	0.108843i
$557$	−31.0641	+	115.933i	−0.0557703	+	0.208138i	−0.988188	−	0.153244i	$-0.951028\pi$
$557$	−31.0641	+	115.933i	−0.0557703	+	0.208138i	0.932418	+	0.361381i	$0.117695\pi$
$558$		−	73.9090i		−	0.132453i
$559$		−	675.500i		−	1.20841i
$560$	−284.192			−0.507486
$561$	211.674	+	56.7180i	0.377316	+	0.101102i
$562$	−33.6647	−	58.3090i	−0.0599016	−	0.103753i
$563$	−534.888	−	308.818i	−0.950068	−	0.548522i	−0.0569660	−	0.998376i	$-0.518143\pi$
$563$	−534.888	−	308.818i	−0.950068	−	0.548522i	−0.893102	+	0.449854i	$0.851476\pi$
$564$	−93.7654	+	93.7654i	−0.166251	+	0.166251i
$565$	138.812	+	518.054i	0.245685	+	0.916909i
$566$	17.7846	−	4.76537i	0.0314216	−	0.00841938i
$567$	−280.378	−	280.378i	−0.494494	−	0.494494i
$568$	92.5814	−	160.356i	0.162995	−	0.282316i
$569$	−381.315	+	220.153i	−0.670150	+	0.386911i	−0.796133	−	0.605121i	$-0.793125\pi$
$569$	−381.315	+	220.153i	−0.670150	+	0.386911i	0.125983	+	0.992032i	$0.459791\pi$
$570$	−2.30642	+	8.60770i	−0.00404636	+	0.0151012i
$571$			618.249i			1.08275i	0.840782	+	0.541374i	$0.182096\pi$
$571$			618.249i			1.08275i	−0.840782	+	0.541374i	$0.817904\pi$
$572$	−759.783	−	203.583i	−1.32829	−	0.355915i
$573$	−215.226			−0.375612
$574$	−137.981	−	36.9718i	−0.240385	−	0.0644109i
$575$	112.335	+	194.569i	0.195365	+	0.338381i
$576$	−290.959	−	167.985i	−0.505137	−	0.291641i
$577$	−266.237	+	266.237i	−0.461415	+	0.461415i	−0.899119	−	0.437704i	$-0.855792\pi$
$577$	−266.237	+	266.237i	−0.461415	+	0.461415i	0.437704	+	0.899119i	$0.355792\pi$
$578$	−6.95637	−	25.9615i	−0.0120352	−	0.0449161i
$579$	233.729	−	62.6274i	0.403677	−	0.108165i
$580$	−92.3275	−	92.3275i	−0.159185	−	0.159185i
$581$	−102.736	+	177.944i	−0.176826	+	0.306271i
$582$	17.9911	−	10.3872i	0.0309125	−	0.0178473i
$583$	61.9578	−	231.229i	0.106274	−	0.396620i
$584$		−	109.101i		−	0.186817i
$585$	289.825	−	289.825i	0.495427	−	0.495427i
$586$	−207.263			−0.353691
$587$	465.123	+	124.629i	0.792373	+	0.212316i	0.632233	−	0.774779i	$-0.282139\pi$
$587$	465.123	+	124.629i	0.792373	+	0.212316i	0.160140	+	0.987094i	$0.448805\pi$
$588$	18.8301	+	32.6147i	0.0320240	+	0.0554672i
$589$	−92.2295	−	53.2487i	−0.156587	−	0.0904053i
$590$	−131.219	+	131.219i	−0.222405	+	0.222405i
$591$	16.6950	+	62.3064i	0.0282487	+	0.105425i
$592$	389.351	−	104.326i	0.657688	−	0.176227i
$593$	389.671	+	389.671i	0.657118	+	0.657118i	0.954697	−	0.297579i	$-0.0961792\pi$
$593$	389.671	+	389.671i	0.657118	+	0.657118i	−0.297579	+	0.954697i	$0.596179\pi$
$594$	53.6462	−	92.9179i	0.0903134	−	0.156427i
$595$	353.469	−	204.076i	0.594066	−	0.342984i
$596$	−123.495	+	460.889i	−0.207206	+	0.773304i
$597$			147.464i			0.247009i
$598$	96.1000	+	96.1000i	0.160702	+	0.160702i
$599$	808.596			1.34991			0.674955	−	0.737859i	$-0.264163\pi$
$599$	808.596			1.34991			0.674955	+	0.737859i	$0.264163\pi$
$600$	−31.4833	−	8.43594i	−0.0524722	−	0.0140599i
$601$	221.344	+	383.379i	0.368293	+	0.637903i	0.989299	−	0.145904i	$-0.0466089\pi$
$601$	221.344	+	383.379i	0.368293	+	0.637903i	−0.621006	+	0.783806i	$0.713276\pi$
$602$	−138.231	−	79.8076i	−0.229619	−	0.132571i
$603$	241.813	−	241.813i	0.401016	−	0.401016i
$604$	−174.844	−	652.527i	−0.289477	−	1.08034i
$605$	510.392	−	136.759i	0.843623	−	0.226048i
$606$	−42.8705	−	42.8705i	−0.0707434	−	0.0707434i
$607$	471.398	−	816.485i	0.776603	−	1.34512i	−0.157286	−	0.987553i	$-0.550275\pi$
$607$	471.398	−	816.485i	0.776603	−	1.34512i	0.933889	−	0.357563i	$-0.116392\pi$
$608$	123.916	−	71.5429i	0.203809	−	0.117669i
$609$	10.5603	−	39.4115i	0.0173404	−	0.0647152i
$610$			49.4139i			0.0810065i
$611$	−163.308	+	609.475i	−0.267280	+	0.997504i
$612$	583.252			0.953027
$613$	−973.161	−	260.758i	−1.58754	−	0.425380i	−0.646289	−	0.763093i	$-0.723680\pi$
$613$	−973.161	−	260.758i	−1.58754	−	0.425380i	−0.941249	+	0.337713i	$0.890347\pi$
$614$	−95.2468	−	164.972i	−0.155125	−	0.268685i
$615$	−109.820	−	63.4045i	−0.178569	−	0.103097i
$616$	−272.287	+	272.287i	−0.442025	+	0.442025i
$617$	−71.9115	−	268.378i	−0.116550	−	0.434972i	0.882848	−	0.469659i	$-0.155623\pi$
$617$	−71.9115	−	268.378i	−0.116550	−	0.434972i	−0.999398	+	0.0346873i	$0.988956\pi$
$618$	−28.8320	+	7.72551i	−0.0466537	+	0.0125008i
$619$	206.483	+	206.483i	0.333576	+	0.333576i	0.853943	−	0.520367i	$-0.174205\pi$
$619$	206.483	+	206.483i	0.333576	+	0.333576i	−0.520367	+	0.853943i	$0.674205\pi$
$620$	−117.256	+	203.093i	−0.189122	+	0.327569i
$621$	223.608	−	129.100i	0.360077	−	0.207890i
$622$	−9.57626	+	35.7391i	−0.0153959	+	0.0574583i
$623$			531.244i			0.852718i
$624$	122.350			0.196074
$625$	223.140			0.357024
$626$	197.158	+	52.8282i	0.314948	+	0.0843902i
$627$	−37.4641	−	64.8897i	−0.0597514	−	0.103492i
$628$	315.920	+	182.397i	0.503058	+	0.290441i
$629$	−409.347	+	409.347i	−0.650790	+	0.650790i
$630$	−25.0666	−	93.5500i	−0.0397883	−	0.148492i
$631$	−428.813	+	114.900i	−0.679577	+	0.182092i	−0.582065	−	0.813142i	$-0.697755\pi$
$631$	−428.813	+	114.900i	−0.679577	+	0.182092i	−0.0975117	+	0.995234i	$0.531088\pi$
$632$	177.580	+	177.580i	0.280980	+	0.280980i
$633$	26.8282	−	46.4679i	0.0423827	−	0.0734090i
$634$	130.633	−	75.4212i	0.206046	−	0.118961i
$635$	27.4608	−	102.485i	0.0432454	−	0.161394i
$636$			40.3397i			0.0634273i
$637$	155.192	+	89.6000i	0.243629	+	0.140659i
$638$	−78.8231			−0.123547
$639$	−378.231	−	101.347i	−0.591911	−	0.158602i
$640$	−207.120	−	358.742i	−0.323625	−	0.560535i
$641$	−471.717	−	272.346i	−0.735908	−	0.424877i	0.0846714	−	0.996409i	$-0.473016\pi$
$641$	−471.717	−	272.346i	−0.735908	−	0.424877i	−0.820580	+	0.571532i	$0.806349\pi$
$642$	25.5448	−	25.5448i	0.0397894	−	0.0397894i
$643$	100.073	+	373.478i	0.155635	+	0.580837i	0.999050	+	0.0435749i	$0.0138747\pi$
$643$	100.073	+	373.478i	0.155635	+	0.580837i	−0.843415	+	0.537262i	$0.819459\pi$
$644$	−432.042	+	115.765i	−0.670873	+	0.179760i
$645$	−100.192	−	100.192i	−0.155337	−	0.155337i
$646$	−30.1699	+	52.2558i	−0.0467026	+	0.0808913i
$647$	−436.056	+	251.757i	−0.673966	+	0.389114i	−0.797578	−	0.603216i	$-0.793886\pi$
$647$	−436.056	+	251.757i	−0.673966	+	0.389114i	0.123612	+	0.992331i	$0.460552\pi$
$648$	69.2166	−	258.320i	0.106816	−	0.398642i
$649$		−	1560.32i		−	2.40420i
$650$	−72.3083	+	19.3750i	−0.111244	+	0.0298076i
$651$	−73.2820			−0.112568
$652$	456.363	+	122.282i	0.699943	+	0.187549i
$653$	−15.5692	−	26.9667i	−0.0238426	−	0.0412966i	0.853858	−	0.520506i	$-0.174257\pi$
$653$	−15.5692	−	26.9667i	−0.0238426	−	0.0412966i	−0.877701	+	0.479210i	$0.840923\pi$
$654$	24.1244	+	13.9282i	0.0368874	+	0.0212969i
$655$	7.85125	−	7.85125i	0.0119866	−	0.0119866i
$656$	154.738	+	577.492i	0.235882	+	0.880323i
$657$	−222.861	+	59.7154i	−0.339210	+	0.0908910i
$658$	105.426	+	105.426i	0.160221	+	0.160221i
$659$	−379.488	+	657.293i	−0.575855	+	0.997410i	0.420093	+	0.907481i	$0.361997\pi$
$659$	−379.488	+	657.293i	−0.575855	+	0.997410i	−0.995948	+	0.0899292i	$0.971336\pi$
$660$	−142.890	+	82.4974i	−0.216500	+	0.124996i
$661$	67.8083	−	253.064i	0.102584	−	0.382850i	−0.895475	−	0.445111i	$-0.853164\pi$
$661$	67.8083	−	253.064i	0.102584	−	0.382850i	0.998060	+	0.0622605i	$0.0198310\pi$
$662$			238.795i			0.360717i
$663$	−152.175	+	87.8583i	−0.229525	+	0.132516i
$664$	−138.582			−0.208708
$665$	−134.799	−	36.1192i	−0.202705	−	0.0543146i
$666$	68.6840	+	118.964i	0.103129	+	0.178625i
$667$	−164.275	−	94.8442i	−0.246289	−	0.142195i
$668$	138.603	−	138.603i	0.207489	−	0.207489i
$669$	−72.0924	−	269.053i	−0.107761	−	0.402171i
$670$	75.2506	−	20.1633i	0.112314	−	0.0300945i
$671$	−293.790	−	293.790i	−0.437839	−	0.437839i
$672$	49.2295	−	85.2679i	0.0732581	−	0.126887i
$673$	−272.210	+	157.160i	−0.404472	+	0.233522i	−0.688412	−	0.725320i	$-0.741692\pi$
$673$	−272.210	+	157.160i	−0.404472	+	0.233522i	0.283940	+	0.958842i	$0.408358\pi$
$674$	19.3968	−	72.3897i	0.0287786	−	0.107403i
$675$			142.221i			0.210697i
$676$	546.217	−	315.358i	0.808013	−	0.466506i
$677$	−547.384			−0.808544			−0.404272	−	0.914639i	$-0.632475\pi$
$677$	−547.384			−0.808544			−0.404272	+	0.914639i	$0.632475\pi$
$678$	−52.7006	−	14.1211i	−0.0777295	−	0.0208276i
$679$	162.665	+	281.745i	0.239566	+	0.414941i
$680$	238.400	+	137.640i	0.350588	+	0.202412i
$681$	216.560	−	216.560i	0.318003	−	0.318003i
$682$	36.6410	+	136.746i	0.0537258	+	0.200508i
$683$	252.954	−	67.7789i	0.370358	−	0.0992371i	−0.0688393	−	0.997628i	$-0.521930\pi$
$683$	252.954	−	67.7789i	0.370358	−	0.0992371i	0.439197	+	0.898391i	$0.355263\pi$
$684$	−141.014	−	141.014i	−0.206161	−	0.206161i
$685$	−182.418	+	315.957i	−0.266303	+	0.461251i
$686$	167.023	−	96.4308i	0.243474	−	0.140570i
$687$	19.3641	−	72.2679i	0.0281865	−	0.105194i
$688$			668.038i			0.970986i
$689$	95.9749	+	166.233i	0.139296	+	0.241268i
$690$	28.5077			0.0413156
$691$	1062.75	+	284.764i	1.53799	+	0.412104i	0.925617	−	0.378462i	$-0.123547\pi$
$691$	1062.75	+	284.764i	1.53799	+	0.412104i	0.612377	+	0.790566i	$0.290214\pi$
$692$	−256.119	−	443.611i	−0.370114	−	0.641057i
$693$	705.233	+	407.167i	1.01765	+	0.587542i
$694$	178.321	−	178.321i	0.256946	−	0.256946i
$695$	−31.2666	−	116.688i	−0.0449879	−	0.167897i
$696$	26.5814	−	7.12247i	0.0381917	−	0.0102334i
$697$	−607.149	−	607.149i	−0.871089	−	0.871089i
$698$	3.04036	−	5.26606i	0.00435582	−	0.00754450i
$699$	−162.673	+	93.9193i	−0.232722	+	0.134362i
$700$	63.7654	−	237.976i	0.0910934	−	0.339965i
$701$		−	638.323i		−	0.910589i	−0.890341	−	0.455295i	$-0.849534\pi$
$701$		−	638.323i		−	0.910589i	0.890341	−	0.455295i	$-0.150466\pi$
$702$	22.2666	+	83.1000i	0.0317188	+	0.118376i
$703$	197.937			0.281561
$704$	621.611	+	166.560i	0.882971	+	0.236591i
$705$	66.1769	+	114.622i	0.0938680	+	0.162584i
$706$	128.171	+	73.9993i	0.181545	+	0.104815i
$707$	671.363	−	671.363i	0.949594	−	0.949594i
$708$	68.0526	+	253.976i	0.0961194	+	0.358723i
$709$	−625.185	+	167.518i	−0.881784	+	0.236273i	−0.671177	−	0.741297i	$-0.734211\pi$
$709$	−625.185	+	167.518i	−0.881784	+	0.236273i	−0.210608	+	0.977571i	$0.567544\pi$
$710$	−63.0770	−	63.0770i	−0.0888408	−	0.0888408i
$711$	265.545	−	459.937i	0.373481	−	0.646888i
$712$	−310.298	+	179.151i	−0.435812	+	0.251616i
$713$	−88.1769	+	329.081i	−0.123670	+	0.461544i
$714$			41.5204i			0.0581519i
$715$	−392.550	+	679.917i	−0.549021	+	0.950932i
$716$	−3.89488			−0.00543978
$717$	39.3449	+	10.5424i	0.0548743	+	0.0147035i
$718$	−33.7025	−	58.3744i	−0.0469394	−	0.0813015i
$719$	1058.38	+	611.056i	1.47202	+	0.849870i	0.999505	−	0.0314543i	$-0.0100139\pi$
$719$	1058.38	+	611.056i	1.47202	+	0.849870i	0.472512	+	0.881324i	$0.343347\pi$
$720$	−286.624	+	286.624i	−0.398088	+	0.398088i
$721$	−120.984	−	451.517i	−0.167800	−	0.626237i
$722$	−160.572	+	43.0251i	−0.222399	+	0.0595915i
$723$	125.053	+	125.053i	0.172963	+	0.172963i
$724$	−43.0692	+	74.5981i	−0.0594879	+	0.103036i
$725$	90.4852	−	52.2417i	0.124807	−	0.0720575i
$726$	−13.9122	+	51.9212i	−0.0191629	+	0.0715168i
$727$			508.974i			0.700102i	0.936731	+	0.350051i	$0.113836\pi$
$727$			508.974i			0.700102i	−0.936731	+	0.350051i	$0.886164\pi$
$728$		−	308.767i		−	0.424130i
$729$	−481.323			−0.660251
$730$	−50.7698	−	13.6037i	−0.0695477	−	0.0186353i
$731$	−479.711	−	830.885i	−0.656240	−	1.13664i
$732$	60.6340	+	35.0070i	0.0828333	+	0.0478238i
$733$	861.681	−	861.681i	1.17555	−	1.17555i	0.194689	−	0.980865i	$-0.437630\pi$
$733$	861.681	−	861.681i	1.17555	−	1.17555i	0.980865	−	0.194689i	$-0.0623699\pi$
$734$	1.68138	+	6.27499i	0.00229071	+	0.00854903i
$735$	36.3083	−	9.72878i	0.0493991	−	0.0132364i
$736$	−323.669	−	323.669i	−0.439768	−	0.439768i
$737$	−327.520	+	567.282i	−0.444397	+	0.769718i
$738$	−176.449	+	101.873i	−0.239091	+	0.138039i
$739$	40.4242	−	150.865i	0.0547013	−	0.204148i	−0.933167	−	0.359444i	$-0.882966\pi$
$739$	40.4242	−	150.865i	0.0547013	−	0.204148i	0.987868	+	0.155296i	$0.0496331\pi$
$740$		−	435.865i		−	0.589007i
$741$	58.0333	+	15.5500i	0.0783176	+	0.0209851i
$742$	45.3562			0.0611270
$743$	−369.252	−	98.9409i	−0.496975	−	0.133164i	0.00162070	−	0.999999i	$-0.499484\pi$
$743$	−369.252	−	98.9409i	−0.496975	−	0.133164i	−0.498596	+	0.866835i	$0.666151\pi$
$744$	−24.7128	−	42.8038i	−0.0332161	−	0.0575321i
$745$	412.441	+	238.123i	0.553613	+	0.319628i
$746$	−113.935	+	113.935i	−0.152728	+	0.152728i
$747$	75.8513	+	283.081i	0.101541	+	0.378957i
$748$	−1079.13	+	289.153i	−1.44269	+	0.386568i
$749$	400.038	+	400.038i	0.534097	+	0.534097i
$750$	−25.4955	+	44.1596i	−0.0339940	+	0.0588794i
$751$	−906.415	+	523.319i	−1.20694	+	0.696830i	−0.962091	−	0.272730i	$-0.912073\pi$
$751$	−906.415	+	523.319i	−1.20694	+	0.696830i	−0.244854	+	0.969560i	$0.578740\pi$
$752$	161.504	−	602.743i	0.214767	−	0.801520i
$753$		−	187.128i		−	0.248510i
$754$	44.6917	−	44.6917i	0.0592728	−	0.0592728i
$755$	−674.270			−0.893073
$756$	−273.492	−	73.2820i	−0.361762	−	0.0969339i
$757$	188.415	+	326.345i	0.248897	+	0.431103i	0.963220	−	0.268713i	$-0.0865985\pi$
$757$	188.415	+	326.345i	0.248897	+	0.431103i	−0.714323	+	0.699816i	$0.753265\pi$
$758$	−176.293	−	101.783i	−0.232576	−	0.134278i
$759$	−169.492	+	169.492i	−0.223310	+	0.223310i
$760$	−24.3609	−	90.9160i	−0.0320538	−	0.119626i
$761$	−742.044	+	198.830i	−0.975091	+	0.261275i	−0.710976	−	0.703216i	$-0.751747\pi$
$761$	−742.044	+	198.830i	−0.975091	+	0.261275i	−0.264115	+	0.964491i	$0.585080\pi$
$762$	7.63209	+	7.63209i	0.0100159	+	0.0100159i
$763$	−218.119	+	377.794i	−0.285871	+	0.495142i
$764$	950.235	−	548.619i	1.24376	−	0.718087i
$765$	150.672	−	562.315i	0.196957	−	0.735052i
$766$		−	382.123i		−	0.498855i
$767$	884.683	+	884.683i	1.15343	+	1.15343i
$768$	−74.0910			−0.0964727
$769$	−65.7006	−	17.6044i	−0.0854364	−	0.0228926i	0.215848	−	0.976427i	$-0.430749\pi$
$769$	−65.7006	−	17.6044i	−0.0854364	−	0.0228926i	−0.301284	+	0.953534i	$0.597415\pi$
$770$	92.7564	+	160.659i	0.120463	+	0.208648i
$771$	62.7903	+	36.2520i	0.0814400	+	0.0470194i
$772$	−872.288	+	872.288i	−1.12991	+	1.12991i
$773$	−238.681	−	890.771i	−0.308773	−	1.15236i	−0.929649	−	0.368447i	$-0.879890\pi$
$773$	−238.681	−	890.771i	−0.308773	−	1.15236i	0.620876	−	0.783909i	$-0.286777\pi$
$774$	−219.904	+	58.9230i	−0.284113	+	0.0761280i
$775$	−132.694	−	132.694i	−0.171218	−	0.171218i
$776$	−109.711	+	190.025i	−0.141380	+	0.244877i
$777$	117.955	−	68.1013i	0.151808	−	0.0876465i
$778$	46.1513	−	172.239i	0.0593205	−	0.221387i
$779$			293.583i			0.376872i
$780$	34.2417	−	127.792i	0.0438996	−	0.163835i
$781$	750.046			0.960366
$782$	186.452	+	49.9596i	0.238430	+	0.0638870i
$783$	−60.0385	−	103.990i	−0.0766775	−	0.132809i
$784$	−153.477	−	88.6103i	−0.195762	−	0.113023i
$785$	257.461	−	257.461i	0.327976	−	0.327976i
$786$	0.292342	+	1.09103i	0.000371936	+	0.00138808i
$787$	1188.62	−	318.489i	1.51031	−	0.404687i	0.593774	−	0.804632i	$-0.297637\pi$
$787$	1188.62	−	318.489i	1.51031	−	0.404687i	0.916540	+	0.399944i	$0.130970\pi$
$788$	−232.531	−	232.531i	−0.295090	−	0.295090i
$789$	−93.4603	+	161.878i	−0.118454	+	0.205169i
$790$	104.778	−	60.4936i	0.132630	−	0.0765742i
$791$	221.140	−	825.305i	0.279570	−	1.04337i
$792$			549.233i			0.693476i
$793$	333.150			0.420114
$794$	363.565			0.457891
$795$	38.8916	+	10.4210i	0.0489203	+	0.0131081i
$796$	−375.892	−	651.063i	−0.472226	−	0.817919i
$797$	−22.0615	−	12.7372i	−0.0276807	−	0.0159814i	0.486096	−	0.873906i	$-0.338421\pi$
$797$	−22.0615	−	12.7372i	−0.0276807	−	0.0159814i	−0.513776	+	0.857924i	$0.671754\pi$
$798$	10.0385	−	10.0385i	0.0125795	−	0.0125795i
$799$	231.949	+	865.647i	0.290300	+	1.08341i
$800$	243.538	−	65.2558i	0.304422	−	0.0815697i
$801$	535.788	+	535.788i	0.668899	+	0.668899i
$802$	−146.833	+	254.323i	−0.183084	+	0.317110i
$803$	382.732	−	220.970i	0.476628	−	0.275181i
$804$	28.5692	−	106.622i	0.0355339	−	0.132614i
$805$			446.438i			0.554582i
$806$	−98.3083	−	56.7583i	−0.121971	−	0.0704198i
$807$	67.8667			0.0840975
$808$	618.544	+	165.738i	0.765525	+	0.205122i
$809$	351.463	+	608.752i	0.434442	+	0.752475i	0.997250	−	0.0741123i	$-0.0236123\pi$
$809$	351.463	+	608.752i	0.434442	+	0.752475i	−0.562808	+	0.826588i	$0.690279\pi$
$810$	−111.577	−	64.4193i	−0.137750	−	0.0795300i
$811$	506.292	−	506.292i	0.624282	−	0.624282i	−0.322342	−	0.946623i	$-0.604470\pi$
$811$	506.292	−	506.292i	0.624282	−	0.624282i	0.946623	+	0.322342i	$0.104470\pi$
$812$	53.8372	+	200.923i	0.0663019	+	0.247442i
$813$	−309.086	+	82.8193i	−0.380179	+	0.101869i
$814$	−186.056	−	186.056i	−0.228570	−	0.228570i
$815$	235.785	−	408.391i	0.289306	−	0.501093i
$816$	150.494	−	86.8878i	0.184429	−	0.106480i
$817$	−84.9038	+	316.865i	−0.103921	+	0.387840i
$818$		−	52.6424i		−	0.0643550i
$819$	−630.717	+	169.000i	−0.770106	+	0.206349i
$820$	646.482			0.788393
$821$	−1090.79	−	292.276i	−1.32861	−	0.356000i	−0.476414	−	0.879221i	$-0.658064\pi$
$821$	−1090.79	−	292.276i	−1.32861	−	0.356000i	−0.852197	+	0.523220i	$0.824730\pi$
$822$	−18.5570	−	32.1417i	−0.0225755	−	0.0391018i
$823$	−449.858	−	259.726i	−0.546607	−	0.315584i	0.201145	−	0.979561i	$-0.435534\pi$
$823$	−449.858	−	259.726i	−0.546607	−	0.315584i	−0.747752	+	0.663978i	$0.768867\pi$
$824$	222.931	−	222.931i	0.270547	−	0.270547i
$825$	−34.1718	−	127.531i	−0.0414203	−	0.154583i
$826$	285.559	−	76.5153i	0.345713	−	0.0926335i
$827$	−571.769	−	571.769i	−0.691377	−	0.691377i	0.271158	−	0.962535i	$-0.412594\pi$
$827$	−571.769	−	571.769i	−0.691377	−	0.691377i	−0.962535	+	0.271158i	$0.912594\pi$
$828$	−318.983	+	552.494i	−0.385245	+	0.667263i
$829$	−848.094	+	489.647i	−1.02303	+	0.590648i	−0.914981	−	0.403497i	$-0.867795\pi$
$829$	−848.094	+	489.647i	−1.02303	+	0.590648i	−0.108052	+	0.994145i	$0.534461\pi$
$830$	−17.2796	+	64.4885i	−0.0208188	+	0.0776970i
$831$		−	255.373i		−	0.307308i
$832$	−446.883	+	258.008i	−0.537119	+	0.310106i
$833$	254.520			0.305547
$834$	11.8705	+	3.18069i	0.0142332	+	0.00381377i
$835$	−97.8217	−	169.432i	−0.117152	−	0.202913i
$836$	330.813	+	190.995i	0.395709	+	0.228463i
$837$	−152.497	+	152.497i	−0.182195	+	0.182195i
$838$	86.3543	+	322.279i	0.103048	+	0.384581i
$839$	513.757	−	137.661i	0.612344	−	0.164077i	0.0606993	−	0.998156i	$-0.480667\pi$
$839$	513.757	−	137.661i	0.612344	−	0.164077i	0.551645	+	0.834079i	$0.314000\pi$
$840$	−45.7973	−	45.7973i	−0.0545206	−	0.0545206i
$841$	376.392	−	651.931i	0.447553	−	0.775185i
$842$	−219.747	+	126.871i	−0.260983	+	0.150678i
$843$	−24.6443	+	91.9737i	−0.0292340	+	0.109103i
$844$			273.545i			0.324105i
$845$	−162.933	−	608.075i	−0.192820	−	0.719615i
$846$	212.655			0.251365
$847$	−813.099	−	217.869i	−0.959975	−	0.257224i
$848$	−94.9148	−	164.397i	−0.111928	−	0.193865i
$849$	−22.5500	−	13.0192i	−0.0265606	−	0.0153348i
$850$	−75.1821	+	75.1821i	−0.0884495	+	0.0884495i
$851$	−163.886	−	611.633i	−0.192581	−	0.718722i
$852$	−122.086	+	32.7128i	−0.143293	+	0.0383953i
$853$	713.043	+	713.043i	0.835924	+	0.835924i	0.988320	−	0.152396i	$-0.0486989\pi$
$853$	713.043	+	713.043i	0.835924	+	0.835924i	−0.152396	+	0.988320i	$0.548699\pi$
$854$	39.3604	−	68.1742i	0.0460894	−	0.0798292i
$855$	−172.380	+	99.5237i	−0.201614	+	0.116402i
$856$	−98.7569	+	368.566i	−0.115370	+	0.430568i
$857$			311.663i			0.363667i	0.983329	+	0.181834i	$0.0582032\pi$
$857$			311.663i			0.363667i	−0.983329	+	0.181834i	$0.941797\pi$
$858$	−39.9334	−	69.1666i	−0.0465424	−	0.0806138i
$859$	−1475.02			−1.71714			−0.858568	−	0.512700i	$-0.828645\pi$
$859$	−1475.02			−1.71714			−0.858568	+	0.512700i	$0.828645\pi$
$860$	697.750	+	186.962i	0.811337	+	0.217397i
$861$	101.009	+	174.953i	0.117316	+	0.203197i
$862$	−47.1985	−	27.2501i	−0.0547547	−	0.0316126i
$863$	−700.396	+	700.396i	−0.811583	+	0.811583i	−0.984871	−	0.173288i	$-0.944561\pi$
$863$	−700.396	+	700.396i	−0.811583	+	0.811583i	0.173288	+	0.984871i	$0.444561\pi$
$864$	−74.9948	−	279.885i	−0.0867996	−	0.323940i
$865$	−493.850	+	132.327i	−0.570925	+	0.152979i
$866$	−252.276	−	252.276i	−0.291312	−	0.291312i
$867$	−19.0052	+	32.9179i	−0.0219206	+	0.0379676i
$868$	323.545	−	186.799i	0.372747	−	0.215206i
$869$	−263.292	+	982.620i	−0.302983	+	1.13075i
$870$		−	13.2576i		−	0.0152387i
$871$	−135.942	−	507.342i	−0.156076	−	0.582482i
$872$	−294.224			−0.337413
$873$	448.212	+	120.098i	0.513416	+	0.137569i
$874$	−33.0000	−	57.1577i	−0.0377574	−	0.0653978i
$875$	−691.550	−	399.267i	−0.790343	−	0.456305i
$876$	−52.6603	+	52.6603i	−0.0601144	+	0.0601144i
$877$	−35.4498	−	132.301i	−0.0404217	−	0.150856i	0.942765	−	0.333457i	$-0.108215\pi$
$877$	−35.4498	−	132.301i	−0.0404217	−	0.150856i	−0.983187	+	0.182601i	$0.941548\pi$
$878$	−45.0666	+	12.0756i	−0.0513287	+	0.0137535i
$879$	207.263	+	207.263i	0.235794	+	0.235794i
$880$	388.214	−	672.406i	0.441152	−	0.764098i
$881$	383.677	−	221.516i	0.435502	−	0.251437i	−0.266186	−	0.963922i	$-0.585764\pi$
$881$	383.677	−	221.516i	0.435502	−	0.251437i	0.701688	+	0.712485i	$0.252430\pi$
$882$	15.6314	−	58.3372i	0.0177227	−	0.0661419i
$883$		−	1305.20i		−	1.47814i	−0.673630	−	0.739069i	$-0.735266\pi$
$883$		−	1305.20i		−	1.47814i	0.673630	−	0.739069i	$-0.264734\pi$
$884$	447.908	−	775.800i	0.506684	−	0.877602i
$885$	262.438			0.296540
$886$	−321.138	−	86.0488i	−0.362459	−	0.0971205i
$887$	861.377	+	1491.95i	0.971113	+	1.68202i	0.692209	+	0.721697i	$0.256638\pi$
$887$	861.377	+	1491.95i	0.971113	+	1.68202i	0.278904	+	0.960319i	$0.410029\pi$
$888$	79.5556	+	45.9315i	0.0895897	+	0.0517246i
$889$	−119.520	+	119.520i	−0.134444	+	0.134444i
$890$	44.6762	+	166.734i	0.0501980	+	0.187342i
$891$	1046.39	−	280.378i	1.17439	−	0.314678i
$892$	1004.12	+	1004.12i	1.12569	+	1.12569i
$893$	153.210	−	265.368i	0.171568	−	0.297165i
$894$	−41.9569	+	24.2238i	−0.0469316	+	0.0270960i
$895$	−1.00617	+	3.75506i	−0.00112421	+	0.00419560i
$896$			659.920i			0.736518i
$897$		−	192.200i		−	0.214270i
$898$	−12.1117			−0.0134874
$899$	153.040	+	41.0070i	0.170234	+	0.0456141i
$900$	−175.701	−	304.322i	−0.195223	−	0.338136i
$901$	236.104	+	136.315i	0.262047	+	0.151293i
$902$	275.962	−	275.962i	0.305944	−	0.305944i
$903$	58.4232	+	218.038i	0.0646990	+	0.241460i
$904$	556.633	−	149.149i	0.615745	−	0.164988i
$905$	60.7940	+	60.7940i	0.0671757	+	0.0671757i
$906$	34.2961	−	59.4026i	0.0378544	−	0.0655658i
$907$	758.800	−	438.093i	0.836604	−	0.483014i	−0.0195043	−	0.999810i	$-0.506209\pi$
$907$	758.800	−	438.093i	0.836604	−	0.483014i	0.856109	+	0.516796i	$0.172875\pi$
$908$	−404.107	+	1508.15i	−0.445052	+	1.66096i
$909$		−	1354.21i		−	1.48978i
$910$	−143.683	−	38.4998i	−0.157894	−	0.0423075i
$911$	−1103.35			−1.21114			−0.605569	−	0.795793i	$-0.707054\pi$
$911$	−1103.35			−1.21114			−0.605569	+	0.795793i	$0.707054\pi$
$912$	−57.3923	−	15.3782i	−0.0629302	−	0.0168621i
$913$	−280.679	−	486.151i	−0.307426	−	0.532477i
$914$	−106.139	−	61.2795i	−0.116126	−	0.0670454i
$915$	49.4139	−	49.4139i	0.0540043	−	0.0540043i
$916$	98.7199	+	368.428i	0.107773	+	0.402213i
$917$	−17.0859	+	4.57815i	−0.0186324	+	0.00499253i
$918$	86.4026	+	86.4026i	0.0941205	+	0.0941205i
$919$	328.160	−	568.389i	0.357083	−	0.618486i	−0.630389	−	0.776279i	$-0.717105\pi$
$919$	328.160	−	568.389i	0.357083	−	0.618486i	0.987472	+	0.157793i	$0.0504379\pi$
$920$	−260.763	+	150.552i	−0.283439	+	0.163643i
$921$	−69.7255	+	260.219i	−0.0757063	+	0.282540i
$922$			25.2065i			0.0273389i
$923$	−425.267	+	425.267i	−0.460744	+	0.460744i
$924$	262.851			0.284471
$925$	336.897	+	90.2712i	0.364213	+	0.0975905i
$926$	190.769	+	330.422i	0.206014	+	0.356827i
$927$	−577.398	−	333.361i	−0.622867	−	0.359613i
$928$	−150.524	+	150.524i	−0.162202	+	0.162202i
$929$	219.574	+	819.460i	0.236355	+	0.882088i	0.977533	+	0.210780i	$0.0676005\pi$
$929$	219.574	+	819.460i	0.236355	+	0.882088i	−0.741179	+	0.671308i	$0.765733\pi$
$930$	−23.0000	+	6.16283i	−0.0247312	+	0.00662670i
$931$	−61.5359	−	61.5359i	−0.0660966	−	0.0660966i
$932$	478.808	−	829.319i	0.513742	−	0.889827i
$933$	45.3154	−	26.1628i	0.0485695	−	0.0280416i
$934$	−18.9461	+	70.7077i	−0.0202849	+	0.0757041i
$935$			1115.09i			1.19261i
$936$	−311.408	−	311.408i	−0.332701	−	0.332701i
$937$	842.615			0.899269			0.449635	−	0.893213i	$-0.351554\pi$
$937$	842.615			0.899269			0.449635	+	0.893213i	$0.351554\pi$
$938$	−119.881	−	32.1220i	−0.127805	−	0.0342452i
$939$	−144.329	−	249.986i	−0.153705	−	0.266226i
$940$	−584.351	−	337.375i	−0.621650	−	0.358910i
$941$	−471.659	+	471.659i	−0.501232	+	0.501232i	−0.911821	−	0.410589i	$-0.865323\pi$
$941$	−471.659	+	471.659i	−0.501232	+	0.501232i	0.410589	+	0.911821i	$0.365323\pi$
$942$	9.58657	+	35.7776i	0.0101768	+	0.0379804i
$943$	907.183	−	243.079i	0.962018	−	0.257772i
$944$	−874.911	−	874.911i	−0.926813	−	0.926813i
$945$	−141.303	+	244.743i	−0.149527	+	0.258988i
$946$	377.654	−	218.038i	0.399211	−	0.230485i
$947$	−131.110	+	489.308i	−0.138447	+	0.516693i	0.861512	+	0.507737i	$0.169518\pi$
$947$	−131.110	+	489.308i	−0.138447	+	0.516693i	−0.999960	+	0.00895652i	$0.997149\pi$
$948$		−	171.426i		−	0.180829i
$949$	−91.7168	+	342.292i	−0.0966457	+	0.360687i
$950$	36.3538			0.0382672
$951$	−206.054	−	55.2121i	−0.216671	−	0.0580569i
$952$	−219.273	−	379.792i	−0.230329	−	0.398941i
$953$	−770.092	−	444.613i	−0.808071	−	0.466540i	0.0382143	−	0.999270i	$-0.487833\pi$
$953$	−770.092	−	444.613i	−0.808071	−	0.466540i	−0.846286	+	0.532729i	$0.821166\pi$
$954$	45.7442	−	45.7442i	0.0479499	−	0.0479499i
$955$	−283.450	−	1057.85i	−0.296806	−	1.10769i
$956$	−200.583	+	53.7461i	−0.209815	+	0.0562198i
$957$	78.8231	+	78.8231i	0.0823648	+	0.0823648i
$958$	−193.783	+	335.642i	−0.202278	+	0.350356i
$959$	503.347	−	290.608i	0.524867	−	0.303032i
$960$	−28.0146	+	104.552i	−0.0291819	+	0.108908i
$961$			676.436i			0.703888i
$962$	210.983			0.219317
$963$	806.922			0.837925
$964$	−870.879	−	233.351i	−0.903401	−	0.242066i
$965$	615.636	+	1066.31i	0.637964	+	1.10499i
$966$	−39.3308	−	22.7077i	−0.0407151	−	0.0235069i
$967$	−384.317	+	384.317i	−0.397432	+	0.397432i	−0.877326	−	0.479894i	$-0.840675\pi$
$967$	−384.317	+	384.317i	−0.397432	+	0.397432i	0.479894	+	0.877326i	$0.340675\pi$
$968$	−146.943	−	548.401i	−0.151801	−	0.566529i
$969$	82.4256	−	22.0859i	0.0850626	−	0.0227924i
$970$	74.7475	+	74.7475i	0.0770593	+	0.0770593i
$971$	121.863	−	211.074i	0.125503	−	0.217378i	−0.796426	−	0.604735i	$-0.793279\pi$
$971$	121.863	−	211.074i	0.125503	−	0.217378i	0.921929	+	0.387358i	$0.126612\pi$
$972$	−529.977	+	305.983i	−0.545244	+	0.314797i
$973$	−49.8104	+	185.895i	−0.0511926	+	0.191053i
$974$			125.874i			0.129234i
$975$	91.6833	+	52.9334i	0.0940341	+	0.0542906i
$976$	−329.470			−0.337572
$977$	−1110.01	−	297.426i	−1.13614	−	0.304428i	−0.358742	−	0.933437i	$-0.616794\pi$
$977$	−1110.01	−	297.426i	−1.13614	−	0.304428i	−0.777398	+	0.629009i	$0.783461\pi$
$978$	23.9859	+	41.5448i	0.0245255	+	0.0424794i
$979$	−1256.94	−	725.692i	−1.28390	−	0.741259i
$980$	−135.504	+	135.504i	−0.138270	+	0.138270i
$981$	161.040	+	601.011i	0.164159	+	0.612651i
$982$	42.3308	−	11.3425i	0.0431067	−	0.0115504i
$983$	−774.213	−	774.213i	−0.787602	−	0.787602i	0.193499	−	0.981101i	$-0.438016\pi$
$983$	−774.213	−	774.213i	−0.787602	−	0.787602i	−0.981101	+	0.193499i	$0.938016\pi$
$984$	−68.1262	+	117.998i	−0.0692340	+	0.119917i
$985$	−284.253	+	164.114i	−0.288582	+	0.166613i
$986$	23.2339	−	86.7102i	0.0235638	−	0.0879414i
$987$		−	210.851i		−	0.213628i
$988$	−295.858	+	79.2750i	−0.299452	+	0.0802378i
$989$	1049.42			1.06109
$990$	255.583	+	68.4833i	0.258165	+	0.0691751i
$991$	391.733	+	678.501i	0.395290	+	0.684663i	0.993138	−	0.116947i	$-0.0373107\pi$
$991$	391.733	+	678.501i	0.395290	+	0.684663i	−0.597848	+	0.801609i	$0.703977\pi$
$992$	331.107	+	191.165i	0.333777	+	0.192706i
$993$	238.795	−	238.795i	0.240478	−	0.240478i
$994$	36.7808	+	137.268i	0.0370029	+	0.138097i
$995$	−724.795	+	194.208i	−0.728438	+	0.195184i
$996$	66.8897	+	66.8897i	0.0671584	+	0.0671584i
$997$	−250.817	+	434.428i	−0.251572	+	0.435735i	−0.963959	−	0.266052i	$-0.914281\pi$
$997$	−250.817	+	434.428i	−0.251572	+	0.435735i	0.712387	+	0.701787i	$0.247614\pi$
$998$	85.2046	−	49.1929i	0.0853753	−	0.0492915i
$999$	103.744	−	387.177i	0.103848	−	0.387564i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	13.3.f.a.2.1	✓	4
3.2	odd	2		117.3.bd.b.28.1		4
4.3	odd	2		208.3.bd.d.145.1		4
5.2	odd	4		325.3.w.b.249.1		4
5.3	odd	4		325.3.w.a.249.1		4
5.4	even	2		325.3.t.a.301.1		4
13.2	odd	12		169.3.d.c.99.1		4
13.3	even	3		169.3.d.a.70.2		4
13.4	even	6		169.3.f.a.19.1		4
13.5	odd	4		169.3.f.a.89.1		4
13.6	odd	12		169.3.f.b.150.1		4
13.7	odd	12	inner	13.3.f.a.7.1	yes	4
13.8	odd	4		169.3.f.c.89.1		4
13.9	even	3		169.3.f.c.19.1		4
13.10	even	6		169.3.d.c.70.1		4
13.11	odd	12		169.3.d.a.99.2		4
13.12	even	2		169.3.f.b.80.1		4
39.20	even	12		117.3.bd.b.46.1		4
52.7	even	12		208.3.bd.d.33.1		4
65.7	even	12		325.3.w.a.124.1		4
65.33	even	12		325.3.w.b.124.1		4
65.59	odd	12		325.3.t.a.176.1		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
13.3.f.a.2.1	✓	4	1.1	even	1	trivial
13.3.f.a.7.1	yes	4	13.7	odd	12	inner
117.3.bd.b.28.1		4	3.2	odd	2
117.3.bd.b.46.1		4	39.20	even	12
169.3.d.a.70.2		4	13.3	even	3
169.3.d.a.99.2		4	13.11	odd	12
169.3.d.c.70.1		4	13.10	even	6
169.3.d.c.99.1		4	13.2	odd	12
169.3.f.a.19.1		4	13.4	even	6
169.3.f.a.89.1		4	13.5	odd	4
169.3.f.b.80.1		4	13.12	even	2
169.3.f.b.150.1		4	13.6	odd	12
169.3.f.c.19.1		4	13.9	even	3
169.3.f.c.89.1		4	13.8	odd	4
208.3.bd.d.33.1		4	52.7	even	12
208.3.bd.d.145.1		4	4.3	odd	2
325.3.t.a.176.1		4	65.59	odd	12
325.3.t.a.301.1		4	5.4	even	2
325.3.w.a.124.1		4	65.7	even	12
325.3.w.a.249.1		4	5.3	odd	4
325.3.w.b.124.1		4	65.33	even	12
325.3.w.b.249.1		4	5.2	odd	4

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:	\( N \)	\(=\)	\( 13 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	13.f (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500000 - 0.133975i) q^{2} +(0.366025 + 0.633975i) q^{3} +(-3.23205 - 1.86603i) q^{4} +(-2.63397 + 2.63397i) q^{5} +(-0.0980762 - 0.366025i) q^{6} +(5.73205 - 1.53590i) q^{7} +(2.83013 + 2.83013i) q^{8} +(4.23205 - 7.33013i) q^{9} +O(q^{10})\)	\(q+(-0.500000 - 0.133975i) q^{2} +(0.366025 + 0.633975i) q^{3} +(-3.23205 - 1.86603i) q^{4} +(-2.63397 + 2.63397i) q^{5} +(-0.0980762 - 0.366025i) q^{6} +(5.73205 - 1.53590i) q^{7} +(2.83013 + 2.83013i) q^{8} +(4.23205 - 7.33013i) q^{9} +(1.66987 - 0.964102i) q^{10} +(-4.19615 + 15.6603i) q^{11} -2.73205i q^{12} +(-6.50000 - 11.2583i) q^{13} -3.07180 q^{14} +(-2.63397 - 0.705771i) q^{15} +(6.42820 + 11.1340i) q^{16} +(-15.9904 - 9.23205i) q^{17} +(-3.09808 + 3.09808i) q^{18} +(1.63397 + 6.09808i) q^{19} +(13.4282 - 3.59808i) q^{20} +(3.07180 + 3.07180i) q^{21} +(4.19615 - 7.26795i) q^{22} +(17.4904 - 10.0981i) q^{23} +(-0.758330 + 2.83013i) q^{24} +11.1244i q^{25} +(1.74167 + 6.50000i) q^{26} +12.7846 q^{27} +(-21.3923 - 5.73205i) q^{28} +(-4.69615 - 8.13397i) q^{29} +(1.22243 + 0.705771i) q^{30} +(-11.9282 + 11.9282i) q^{31} +(-5.86603 - 21.8923i) q^{32} +(-11.4641 + 3.07180i) q^{33} +(6.75833 + 6.75833i) q^{34} +(-11.0526 + 19.1436i) q^{35} +(-27.3564 + 15.7942i) q^{36} +(8.11474 - 30.2846i) q^{37} -3.26795i q^{38} +(4.75833 - 8.24167i) q^{39} -14.9090 q^{40} +(44.9186 + 12.0359i) q^{41} +(-1.12436 - 1.94744i) q^{42} +(45.0000 + 25.9808i) q^{43} +(42.7846 - 42.7846i) q^{44} +(8.16025 + 30.4545i) q^{45} +(-10.0981 + 2.70577i) q^{46} +(-34.3205 - 34.3205i) q^{47} +(-4.70577 + 8.15064i) q^{48} +(-11.9378 + 6.89230i) q^{49} +(1.49038 - 5.56218i) q^{50} -13.5167i q^{51} +48.5167i q^{52} -14.7654 q^{53} +(-6.39230 - 1.71281i) q^{54} +(-30.1962 - 52.3013i) q^{55} +(20.5692 + 11.8756i) q^{56} +(-3.26795 + 3.26795i) q^{57} +(1.25833 + 4.69615i) q^{58} +(-92.9615 + 24.9090i) q^{59} +(7.19615 + 7.19615i) q^{60} +(-12.8135 + 22.1936i) q^{61} +(7.56218 - 4.36603i) q^{62} +(13.0000 - 48.5167i) q^{63} -39.6936i q^{64} +(46.7750 + 12.5333i) q^{65} +6.14359 q^{66} +(39.0263 + 10.4571i) q^{67} +(34.4545 + 59.6769i) q^{68} +(12.8038 + 7.39230i) q^{69} +(8.09103 - 8.09103i) q^{70} +(-11.9737 - 44.6865i) q^{71} +(32.7224 - 8.76795i) q^{72} +(-19.2750 - 19.2750i) q^{73} +(-8.11474 + 14.0551i) q^{74} +(-7.05256 + 4.07180i) q^{75} +(6.09808 - 22.7583i) q^{76} +96.2102i q^{77} +(-3.48334 + 3.48334i) q^{78} +62.7461 q^{79} +(-46.2583 - 12.3949i) q^{80} +(-33.4090 - 57.8660i) q^{81} +(-20.8468 - 12.0359i) q^{82} +(-24.4833 + 24.4833i) q^{83} +(-4.19615 - 15.6603i) q^{84} +(66.4352 - 17.8013i) q^{85} +(-19.0192 - 19.0192i) q^{86} +(3.43782 - 5.95448i) q^{87} +(-56.1962 + 32.4449i) q^{88} +(-23.1699 + 86.4711i) q^{89} -16.3205i q^{90} +(-54.5500 - 54.5500i) q^{91} -75.3731 q^{92} +(-11.9282 - 3.19615i) q^{93} +(12.5622 + 21.7583i) q^{94} +(-20.3660 - 11.7583i) q^{95} +(11.7321 - 11.7321i) q^{96} +(14.1891 + 52.9545i) q^{97} +(6.89230 - 1.84679i) q^{98} +(97.0333 + 97.0333i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q - 2 q^{2} - 2 q^{3} - 6 q^{4} - 14 q^{5} + 10 q^{6} + 16 q^{7} - 6 q^{8} + 10 q^{9}+O(q^{10}) \) 4 * q - 2 * q^2 - 2 * q^3 - 6 * q^4 - 14 * q^5 + 10 * q^6 + 16 * q^7 - 6 * q^8 + 10 * q^9	\( 4 q - 2 q^{2} - 2 q^{3} - 6 q^{4} - 14 q^{5} + 10 q^{6} + 16 q^{7} - 6 q^{8} + 10 q^{9} + 24 q^{10} + 4 q^{11} - 26 q^{13} - 40 q^{14} - 14 q^{15} - 2 q^{16} - 12 q^{17} - 2 q^{18} + 10 q^{19} + 26 q^{20} + 40 q^{21} - 4 q^{22} + 18 q^{23} + 42 q^{24} + 52 q^{26} - 32 q^{27} - 44 q^{28} + 2 q^{29} - 54 q^{30} - 20 q^{31} - 20 q^{32} - 32 q^{33} - 18 q^{34} + 32 q^{35} - 54 q^{36} - 68 q^{37} - 26 q^{39} + 72 q^{40} + 100 q^{41} + 44 q^{42} + 180 q^{43} + 88 q^{44} - 2 q^{45} - 30 q^{46} - 68 q^{47} - 50 q^{48} - 72 q^{49} - 46 q^{50} + 128 q^{53} + 16 q^{54} - 100 q^{55} - 84 q^{56} - 20 q^{57} - 40 q^{58} - 164 q^{59} + 8 q^{60} - 124 q^{61} + 6 q^{62} + 52 q^{63} + 52 q^{65} + 80 q^{66} + 118 q^{67} + 72 q^{68} + 72 q^{69} + 164 q^{70} - 86 q^{71} + 72 q^{72} + 58 q^{73} + 68 q^{74} + 48 q^{75} + 14 q^{76} - 104 q^{78} - 40 q^{79} - 140 q^{80} - 2 q^{81} + 24 q^{82} - 188 q^{83} + 4 q^{84} + 96 q^{85} - 180 q^{86} + 38 q^{87} - 204 q^{88} - 110 q^{89} + 52 q^{91} - 156 q^{92} - 20 q^{93} + 26 q^{94} - 78 q^{95} + 40 q^{96} + 178 q^{97} - 14 q^{98} + 208 q^{99}+O(q^{100}) \) 4 * q - 2 * q^2 - 2 * q^3 - 6 * q^4 - 14 * q^5 + 10 * q^6 + 16 * q^7 - 6 * q^8 + 10 * q^9 + 24 * q^10 + 4 * q^11 - 26 * q^13 - 40 * q^14 - 14 * q^15 - 2 * q^16 - 12 * q^17 - 2 * q^18 + 10 * q^19 + 26 * q^20 + 40 * q^21 - 4 * q^22 + 18 * q^23 + 42 * q^24 + 52 * q^26 - 32 * q^27 - 44 * q^28 + 2 * q^29 - 54 * q^30 - 20 * q^31 - 20 * q^32 - 32 * q^33 - 18 * q^34 + 32 * q^35 - 54 * q^36 - 68 * q^37 - 26 * q^39 + 72 * q^40 + 100 * q^41 + 44 * q^42 + 180 * q^43 + 88 * q^44 - 2 * q^45 - 30 * q^46 - 68 * q^47 - 50 * q^48 - 72 * q^49 - 46 * q^50 + 128 * q^53 + 16 * q^54 - 100 * q^55 - 84 * q^56 - 20 * q^57 - 40 * q^58 - 164 * q^59 + 8 * q^60 - 124 * q^61 + 6 * q^62 + 52 * q^63 + 52 * q^65 + 80 * q^66 + 118 * q^67 + 72 * q^68 + 72 * q^69 + 164 * q^70 - 86 * q^71 + 72 * q^72 + 58 * q^73 + 68 * q^74 + 48 * q^75 + 14 * q^76 - 104 * q^78 - 40 * q^79 - 140 * q^80 - 2 * q^81 + 24 * q^82 - 188 * q^83 + 4 * q^84 + 96 * q^85 - 180 * q^86 + 38 * q^87 - 204 * q^88 - 110 * q^89 + 52 * q^91 - 156 * q^92 - 20 * q^93 + 26 * q^94 - 78 * q^95 + 40 * q^96 + 178 * q^97 - 14 * q^98 + 208 * q^99

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