LMFDB - Embedded newform 13.3.f.a.6.1

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			6.1
Root			$-0.866025 + 0.500000i$ of defining polynomial
Character	$\chi$	$=$	13.6
Dual form			13.3.f.a.11.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 - 1.86603i) q^{2} +(-1.36603 + 2.36603i) q^{3} +(0.232051 - 0.133975i) q^{4} +(-4.36603 + 4.36603i) q^{5} +(5.09808 + 1.36603i) q^{6} +(2.26795 - 8.46410i) q^{7} +(-5.83013 - 5.83013i) q^{8} +(0.767949 + 1.33013i) q^{9} +O(q^{10})$	\(q+(-0.500000 - 1.86603i) q^{2} +(-1.36603 + 2.36603i) q^{3} +(0.232051 - 0.133975i) q^{4} +(-4.36603 + 4.36603i) q^{5} +(5.09808 + 1.36603i) q^{6} +(2.26795 - 8.46410i) q^{7} +(-5.83013 - 5.83013i) q^{8} +(0.767949 + 1.33013i) q^{9} +(10.3301 + 5.96410i) q^{10} +(6.19615 - 1.66025i) q^{11} +0.732051i q^{12} +(-6.50000 + 11.2583i) q^{13} -16.9282 q^{14} +(-4.36603 - 16.2942i) q^{15} +(-7.42820 + 12.8660i) q^{16} +(9.99038 - 5.76795i) q^{17} +(2.09808 - 2.09808i) q^{18} +(3.36603 + 0.901924i) q^{19} +(-0.428203 + 1.59808i) q^{20} +(16.9282 + 16.9282i) q^{21} +(-6.19615 - 10.7321i) q^{22} +(-8.49038 - 4.90192i) q^{23} +(21.7583 - 5.83013i) q^{24} -13.1244i q^{25} +(24.2583 + 6.50000i) q^{26} -28.7846 q^{27} +(-0.607695 - 2.26795i) q^{28} +(5.69615 - 9.86603i) q^{29} +(-28.2224 + 16.2942i) q^{30} +(1.92820 - 1.92820i) q^{31} +(-4.13397 - 1.10770i) q^{32} +(-4.53590 + 16.9282i) q^{33} +(-15.7583 - 15.7583i) q^{34} +(27.0526 + 46.8564i) q^{35} +(0.356406 + 0.205771i) q^{36} +(-42.1147 + 11.2846i) q^{37} -6.73205i q^{38} +(-17.7583 - 30.7583i) q^{39} +50.9090 q^{40} +(5.08142 + 18.9641i) q^{41} +(23.1244 - 40.0526i) q^{42} +(45.0000 - 25.9808i) q^{43} +(1.21539 - 1.21539i) q^{44} +(-9.16025 - 2.45448i) q^{45} +(-4.90192 + 18.2942i) q^{46} +(0.320508 + 0.320508i) q^{47} +(-20.2942 - 35.1506i) q^{48} +(-24.0622 - 13.8923i) q^{49} +(-24.4904 + 6.56218i) q^{50} +31.5167i q^{51} +3.48334i q^{52} +78.7654 q^{53} +(14.3923 + 53.7128i) q^{54} +(-19.8038 + 34.3013i) q^{55} +(-62.5692 + 36.1244i) q^{56} +(-6.73205 + 6.73205i) q^{57} +(-21.2583 - 5.69615i) q^{58} +(10.9615 - 40.9090i) q^{59} +(-3.19615 - 3.19615i) q^{60} +(-49.1865 - 85.1936i) q^{61} +(-4.56218 - 2.63397i) q^{62} +(13.0000 - 3.48334i) q^{63} +67.6936i q^{64} +(-20.7750 - 77.5333i) q^{65} +33.8564 q^{66} +(19.9737 + 74.5429i) q^{67} +(1.54552 - 2.67691i) q^{68} +(23.1962 - 13.3923i) q^{69} +(73.9090 - 73.9090i) q^{70} +(-31.0263 - 8.31347i) q^{71} +(3.27757 - 12.2321i) q^{72} +(48.2750 + 48.2750i) q^{73} +(42.1147 + 72.9449i) q^{74} +(31.0526 + 17.9282i) q^{75} +(0.901924 - 0.241670i) q^{76} -56.2102i q^{77} +(-48.5167 + 48.5167i) q^{78} -82.7461 q^{79} +(-23.7417 - 88.6051i) q^{80} +(32.4090 - 56.1340i) q^{81} +(32.8468 - 18.9641i) q^{82} +(-69.5167 + 69.5167i) q^{83} +(6.19615 + 1.66025i) q^{84} +(-18.4352 + 68.8013i) q^{85} +(-70.9808 - 70.9808i) q^{86} +(15.5622 + 26.9545i) q^{87} +(-45.8038 - 26.4449i) q^{88} +(-31.8301 + 8.52886i) q^{89} +18.3205i q^{90} +(80.5500 + 80.5500i) q^{91} -2.62693 q^{92} +(1.92820 + 7.19615i) q^{93} +(0.437822 - 0.758330i) q^{94} +(-18.6340 + 10.7583i) q^{95} +(8.26795 - 8.26795i) q^{96} +(74.8109 + 20.0455i) q^{97} +(-13.8923 + 51.8468i) q^{98} +(6.96668 + 6.96668i) 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 $\left(\mathbb{Z}/13\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{5}{12}\right)$

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	−	1.86603i	−0.250000	−	0.933013i	−0.970804	−	0.239874i	$-0.922894\pi$
$2$	−0.500000	−	1.86603i	−0.250000	−	0.933013i	0.720804	−	0.693139i	$-0.243773\pi$
$3$	−1.36603	+	2.36603i	−0.455342	+	0.788675i	−0.998708	−	0.0508208i	$-0.983816\pi$
$3$	−1.36603	+	2.36603i	−0.455342	+	0.788675i	0.543366	+	0.839496i	$0.317150\pi$
$4$	0.232051	−	0.133975i	0.0580127	−	0.0334936i
$5$	−4.36603	+	4.36603i	−0.873205	+	0.873205i	−0.992820	−	0.119615i	$-0.961834\pi$
$5$	−4.36603	+	4.36603i	−0.873205	+	0.873205i	0.119615	+	0.992820i	$0.461834\pi$
$6$	5.09808	+	1.36603i	0.849679	+	0.227671i
$7$	2.26795	−	8.46410i	0.323993	−	1.20916i	−0.591328	−	0.806431i	$-0.701396\pi$
$7$	2.26795	−	8.46410i	0.323993	−	1.20916i	0.915321	−	0.402726i	$-0.131937\pi$
$8$	−5.83013	−	5.83013i	−0.728766	−	0.728766i
$9$	0.767949	+	1.33013i	0.0853277	+	0.147792i
$10$	10.3301	+	5.96410i	1.03301	+	0.596410i
$11$	6.19615	−	1.66025i	0.563287	−	0.150932i	0.0340707	−	0.999419i	$-0.489153\pi$
$11$	6.19615	−	1.66025i	0.563287	−	0.150932i	0.529216	+	0.848487i	$0.322486\pi$
$12$			0.732051i			0.0610042i
$13$	−6.50000	+	11.2583i	−0.500000	+	0.866025i
$13$	−6.50000	+	11.2583i	−0.500000	+	0.866025i
$14$	−16.9282			−1.20916
$15$	−4.36603	−	16.2942i	−0.291068	−	1.08628i
$16$	−7.42820	+	12.8660i	−0.464263	+	0.804127i
$17$	9.99038	−	5.76795i	0.587669	−	0.339291i	−0.176506	−	0.984300i	$-0.556479\pi$
$17$	9.99038	−	5.76795i	0.587669	−	0.339291i	0.764175	+	0.645008i	$0.223146\pi$
$18$	2.09808	−	2.09808i	0.116560	−	0.116560i
$19$	3.36603	+	0.901924i	0.177159	+	0.0474697i	0.346308	−	0.938121i	$-0.387435\pi$
$19$	3.36603	+	0.901924i	0.177159	+	0.0474697i	−0.169149	+	0.985591i	$0.554102\pi$
$20$	−0.428203	+	1.59808i	−0.0214102	+	0.0799038i
$21$	16.9282	+	16.9282i	0.806105	+	0.806105i
$22$	−6.19615	−	10.7321i	−0.281643	−	0.487820i
$23$	−8.49038	−	4.90192i	−0.369147	−	0.213127i	0.303939	−	0.952692i	$-0.401698\pi$
$23$	−8.49038	−	4.90192i	−0.369147	−	0.213127i	−0.673086	+	0.739564i	$0.735032\pi$
$24$	21.7583	−	5.83013i	0.906597	−	0.242922i
$25$		−	13.1244i		−	0.524974i
$26$	24.2583	+	6.50000i	0.933013	+	0.250000i
$27$	−28.7846			−1.06610
$28$	−0.607695	−	2.26795i	−0.0217034	−	0.0809982i
$29$	5.69615	−	9.86603i	0.196419	−	0.340208i	−0.750946	−	0.660364i	$-0.770402\pi$
$29$	5.69615	−	9.86603i	0.196419	−	0.340208i	0.947365	+	0.320156i	$0.103735\pi$
$30$	−28.2224	+	16.2942i	−0.940748	+	0.543141i
$31$	1.92820	−	1.92820i	0.0622001	−	0.0622001i	−0.675322	−	0.737523i	$-0.735996\pi$
$31$	1.92820	−	1.92820i	0.0622001	−	0.0622001i	0.737523	+	0.675322i	$0.235996\pi$
$32$	−4.13397	−	1.10770i	−0.129187	−	0.0346155i
$33$	−4.53590	+	16.9282i	−0.137451	+	0.512976i
$34$	−15.7583	−	15.7583i	−0.463480	−	0.463480i
$35$	27.0526	+	46.8564i	0.772930	+	1.33875i
$36$	0.356406	+	0.205771i	0.00990018	+	0.00571587i
$37$	−42.1147	+	11.2846i	−1.13824	+	0.304989i	−0.778242	−	0.627965i	$-0.783888\pi$
$37$	−42.1147	+	11.2846i	−1.13824	+	0.304989i	−0.359995	+	0.932954i	$0.617221\pi$
$38$		−	6.73205i		−	0.177159i
$39$	−17.7583	−	30.7583i	−0.455342	−	0.788675i
$40$	50.9090			1.27272
$41$	5.08142	+	18.9641i	0.123937	+	0.462539i	0.999800	−	0.0200215i	$-0.00637348\pi$
$41$	5.08142	+	18.9641i	0.123937	+	0.462539i	−0.875863	+	0.482561i	$0.839707\pi$
$42$	23.1244	−	40.0526i	0.550580	−	0.953632i
$43$	45.0000	−	25.9808i	1.04651	−	0.604204i	0.124841	−	0.992177i	$-0.460158\pi$
$43$	45.0000	−	25.9808i	1.04651	−	0.604204i	0.921671	+	0.387973i	$0.126825\pi$
$44$	1.21539	−	1.21539i	0.0276225	−	0.0276225i
$45$	−9.16025	−	2.45448i	−0.203561	−	0.0545441i
$46$	−4.90192	+	18.2942i	−0.106564	+	0.397701i
$47$	0.320508	+	0.320508i	0.00681932	+	0.00681932i	0.710508	−	0.703689i	$-0.248465\pi$
$47$	0.320508	+	0.320508i	0.00681932	+	0.00681932i	−0.703689	+	0.710508i	$0.748465\pi$
$48$	−20.2942	−	35.1506i	−0.422796	−	0.732305i
$49$	−24.0622	−	13.8923i	−0.491065	−	0.283516i
$50$	−24.4904	+	6.56218i	−0.489808	+	0.131244i
$51$			31.5167i			0.617974i
$52$			3.48334i			0.0669873i
$53$	78.7654			1.48614			0.743070	−	0.669214i	$-0.233369\pi$
$53$	78.7654			1.48614			0.743070	+	0.669214i	$0.233369\pi$
$54$	14.3923	+	53.7128i	0.266524	+	0.994682i
$55$	−19.8038	+	34.3013i	−0.360070	+	0.623659i
$56$	−62.5692	+	36.1244i	−1.11731	+	0.645078i
$57$	−6.73205	+	6.73205i	−0.118106	+	0.118106i
$58$	−21.2583	−	5.69615i	−0.366523	−	0.0982095i
$59$	10.9615	−	40.9090i	0.185789	−	0.693372i	−0.808672	−	0.588260i	$-0.799813\pi$
$59$	10.9615	−	40.9090i	0.185789	−	0.693372i	0.994460	−	0.105112i	$-0.0335202\pi$
$60$	−3.19615	−	3.19615i	−0.0532692	−	0.0532692i
$61$	−49.1865	−	85.1936i	−0.806337	−	1.39662i	−0.915385	−	0.402580i	$-0.868114\pi$
$61$	−49.1865	−	85.1936i	−0.806337	−	1.39662i	0.109048	−	0.994036i	$-0.465220\pi$
$62$	−4.56218	−	2.63397i	−0.0735835	−	0.0424835i
$63$	13.0000	−	3.48334i	0.206349	−	0.0552911i
$64$			67.6936i			1.05771i
$65$	−20.7750	−	77.5333i	−0.319615	−	1.19282i
$66$	33.8564			0.512976
$67$	19.9737	+	74.5429i	0.298115	+	1.11258i	0.938712	+	0.344703i	$0.112021\pi$
$67$	19.9737	+	74.5429i	0.298115	+	1.11258i	−0.640596	+	0.767878i	$0.721313\pi$
$68$	1.54552	−	2.67691i	0.0227282	−	0.0393664i
$69$	23.1962	−	13.3923i	0.336176	−	0.194091i
$70$	73.9090	−	73.9090i	1.05584	−	1.05584i
$71$	−31.0263	−	8.31347i	−0.436990	−	0.117091i	0.0336156	−	0.999435i	$-0.489298\pi$
$71$	−31.0263	−	8.31347i	−0.436990	−	0.117091i	−0.470605	+	0.882344i	$0.655964\pi$
$72$	3.27757	−	12.2321i	0.0455218	−	0.169890i
$73$	48.2750	+	48.2750i	0.661301	+	0.661301i	0.955687	−	0.294386i	$-0.0951150\pi$
$73$	48.2750	+	48.2750i	0.661301	+	0.661301i	−0.294386	+	0.955687i	$0.595115\pi$
$74$	42.1147	+	72.9449i	0.569118	+	0.985741i
$75$	31.0526	+	17.9282i	0.414034	+	0.239043i
$76$	0.901924	−	0.241670i	0.0118674	−	0.00317987i
$77$		−	56.2102i		−	0.730003i
$78$	−48.5167	+	48.5167i	−0.622008	+	0.622008i
$79$	−82.7461			−1.04742			−0.523710	−	0.851897i	$-0.675452\pi$
$79$	−82.7461			−1.04742			−0.523710	+	0.851897i	$0.675452\pi$
$80$	−23.7417	−	88.6051i	−0.296771	−	1.10756i
$81$	32.4090	−	56.1340i	0.400111	−	0.693012i
$82$	32.8468	−	18.9641i	0.400571	−	0.231270i
$83$	−69.5167	+	69.5167i	−0.837550	+	0.837550i	−0.988536	−	0.150986i	$-0.951755\pi$
$83$	−69.5167	+	69.5167i	−0.837550	+	0.837550i	0.150986	+	0.988536i	$0.451755\pi$
$84$	6.19615	+	1.66025i	0.0737637	+	0.0197649i
$85$	−18.4352	+	68.8013i	−0.216885	+	0.809427i
$86$	−70.9808	−	70.9808i	−0.825358	−	0.825358i
$87$	15.5622	+	26.9545i	0.178876	+	0.309822i
$88$	−45.8038	−	26.4449i	−0.520498	−	0.300510i
$89$	−31.8301	+	8.52886i	−0.357642	+	0.0958299i	−0.433166	−	0.901314i	$-0.642604\pi$
$89$	−31.8301	+	8.52886i	−0.357642	+	0.0958299i	0.0755242	+	0.997144i	$0.475937\pi$
$90$			18.3205i			0.203561i
$91$	80.5500	+	80.5500i	0.885165	+	0.885165i
$92$	−2.62693			−0.0285536
$93$	1.92820	+	7.19615i	0.0207334	+	0.0773780i
$94$	0.437822	−	0.758330i	0.00465768	−	0.00806734i
$95$	−18.6340	+	10.7583i	−0.196147	+	0.113246i
$96$	8.26795	−	8.26795i	0.0861245	−	0.0861245i
$97$	74.8109	+	20.0455i	0.771246	+	0.206655i	0.622922	−	0.782284i	$-0.285945\pi$
$97$	74.8109	+	20.0455i	0.771246	+	0.206655i	0.148324	+	0.988939i	$0.452612\pi$
$98$	−13.8923	+	51.8468i	−0.141758	+	0.529049i
$99$	6.96668	+	6.96668i	0.0703705	+	0.0703705i
$100$	−1.75833	−	3.04552i	−0.0175833	−	0.0304552i
$101$	29.4404	+	16.9974i	0.291489	+	0.168291i	0.638613	−	0.769528i	$-0.279508\pi$
$101$	29.4404	+	16.9974i	0.291489	+	0.168291i	−0.347124	+	0.937819i	$0.612842\pi$
$102$	58.8109	−	15.7583i	0.576577	−	0.154493i
$103$		−	179.229i		−	1.74009i	−0.492971	−	0.870046i	$-0.664089\pi$
$103$		−	179.229i		−	1.74009i	0.492971	−	0.870046i	$-0.335911\pi$
$104$	103.533	−	27.7417i	0.995513	−	0.266747i
$105$	−147.818			−1.40779
$106$	−39.3827	−	146.978i	−0.371535	−	1.38659i
$107$	−40.6673	+	70.4378i	−0.380068	+	0.658297i	−0.991072	−	0.133331i	$-0.957433\pi$
$107$	−40.6673	+	70.4378i	−0.380068	+	0.658297i	0.611003	+	0.791628i	$0.290766\pi$
$108$	−6.67949	+	3.85641i	−0.0618471	+	0.0357075i
$109$	−0.0192379	+	0.0192379i	−0.000176494	+	0.000176494i	−0.707195	−	0.707019i	$-0.750040\pi$
$109$	−0.0192379	+	0.0192379i	−0.000176494	+	0.000176494i	0.707019	+	0.707195i	$0.250040\pi$
$110$	73.9090	+	19.8038i	0.671900	+	0.180035i
$111$	30.8301	−	115.060i	0.277749	−	1.03657i
$112$	92.0526	+	92.0526i	0.821898	+	0.821898i
$113$	46.0096	+	79.6910i	0.407165	+	0.705230i	0.994571	−	0.104062i	$-0.0331841\pi$
$113$	46.0096	+	79.6910i	0.407165	+	0.705230i	−0.587406	+	0.809292i	$0.699851\pi$
$114$	15.9282	+	9.19615i	0.139721	+	0.0806680i
$115$	58.4711	−	15.6673i	0.508445	−	0.136237i
$116$		−	3.05256i		−	0.0263152i
$117$	−19.9667			−0.170655
$118$	−81.8179			−0.693372
$119$	−26.1628	−	97.6410i	−0.219856	−	0.820513i
$120$	−69.5429	+	120.452i	−0.579524	+	1.00377i
$121$	−69.1532	+	39.9256i	−0.571514	+	0.329964i
$122$	−134.380	+	134.380i	−1.10148	+	1.10148i
$123$	−51.8109	−	13.8827i	−0.421227	−	0.112867i
$124$	0.189111	−	0.705771i	0.00152509	−	0.00569170i
$125$	−51.8494	−	51.8494i	−0.414795	−	0.414795i
$126$	−13.0000	−	22.5167i	−0.103175	−	0.178704i
$127$	63.6673	+	36.7583i	0.501317	+	0.289436i	0.729257	−	0.684239i	$-0.239866\pi$
$127$	63.6673	+	36.7583i	0.501317	+	0.289436i	−0.227940	+	0.973675i	$0.573199\pi$
$128$	109.782	−	29.4160i	0.857672	−	0.229813i
$129$			141.962i			1.10048i
$130$	−134.292	+	77.5333i	−1.03301	+	0.596410i
$131$	48.9808			0.373899			0.186949	−	0.982370i	$-0.440140\pi$
$131$	48.9808			0.373899			0.186949	+	0.982370i	$0.440140\pi$
$132$	1.21539	+	4.53590i	0.00920750	+	0.0343629i
$133$	15.2679	−	26.4449i	0.114797	−	0.198834i
$134$	129.112	−	74.5429i	0.963524	−	0.556291i
$135$	125.674	−	125.674i	0.930921	−	0.930921i
$136$	−91.8731	−	24.6173i	−0.675537	−	0.181010i
$137$	18.3949	−	68.6506i	0.134269	−	0.501100i	−0.865731	−	0.500510i	$-0.833146\pi$
$137$	18.3949	−	68.6506i	0.134269	−	0.501100i	1.00000		0.000589281i	$-0.000187574\pi$
$138$	−36.5885	−	36.5885i	−0.265134	−	0.265134i
$139$	−57.7846	−	100.086i	−0.415717	−	0.720042i	0.579787	−	0.814768i	$-0.303136\pi$
$139$	−57.7846	−	100.086i	−0.415717	−	0.720042i	−0.995503	+	0.0947259i	$0.969803\pi$
$140$	12.5551	+	7.24871i	0.0896795	+	0.0517765i
$141$	−1.19615	+	0.320508i	−0.00848335	+	0.00227311i
$142$			62.0526i			0.436990i
$143$	−21.5833	+	80.5500i	−0.150932	+	0.563287i
$144$	−22.8179			−0.158458
$145$	18.2058	+	67.9449i	0.125557	+	0.468585i
$146$	65.9449	−	114.220i	0.451677	−	0.782328i
$147$	65.7391	−	37.9545i	0.447205	−	0.258194i
$148$	−8.26091	+	8.26091i	−0.0558169	+	0.0558169i
$149$	263.090	+	70.4948i	1.76571	+	0.473120i	0.987862	−	0.155336i	$-0.0496460\pi$
$149$	263.090	+	70.4948i	1.76571	+	0.473120i	0.777845	+	0.628456i	$0.216313\pi$
$150$	17.9282	−	66.9090i	0.119521	−	0.446060i
$151$	−65.9948	−	65.9948i	−0.437052	−	0.437052i	0.453967	−	0.891019i	$-0.350009\pi$
$151$	−65.9948	−	65.9948i	−0.437052	−	0.437052i	−0.891019	+	0.453967i	$0.850009\pi$
$152$	−14.3660	−	24.8827i	−0.0945133	−	0.163702i
$153$	15.3442	+	8.85898i	0.100289	+	0.0579019i
$154$	−104.890	+	28.1051i	−0.681102	+	0.182501i
$155$			16.8372i			0.108627i
$156$	−8.24167	−	4.75833i	−0.0528312	−	0.0305021i
$157$	47.7461			0.304116			0.152058	−	0.988372i	$-0.451410\pi$
$157$	47.7461			0.304116			0.152058	+	0.988372i	$0.451410\pi$
$158$	41.3731	+	154.406i	0.261855	+	0.977256i
$159$	−107.595	+	186.361i	−0.676701	+	1.17208i
$160$	22.8853	−	13.2128i	0.143033	−	0.0825801i
$161$	−60.7461	+	60.7461i	−0.377305	+	0.377305i
$162$	−120.952	−	32.4090i	−0.746617	−	0.200055i
$163$	16.2820	−	60.7654i	0.0998898	−	0.372794i	−0.897826	−	0.440351i	$-0.854854\pi$
$163$	16.2820	−	60.7654i	0.0998898	−	0.372794i	0.997715	+	0.0675575i	$0.0215206\pi$
$164$	3.71985	+	3.71985i	0.0226820	+	0.0226820i
$165$	−54.1051	−	93.7128i	−0.327910	−	0.567956i
$166$	164.478	+	94.9615i	0.990832	+	0.572057i
$167$	−176.406	+	47.2679i	−1.05633	+	0.283042i	−0.744863	−	0.667217i	$-0.767485\pi$
$167$	−176.406	+	47.2679i	−1.05633	+	0.283042i	−0.311462	+	0.950259i	$0.600819\pi$
$168$		−	197.387i		−	1.17492i
$169$	−84.5000	−	146.358i	−0.500000	−	0.866025i
$170$	137.603			0.809427
$171$	1.38526	+	5.16987i	0.00810095	+	0.0302332i
$172$	6.96152	−	12.0577i	0.0404740	−	0.0701030i
$173$	−244.865	+	141.373i	−1.41541	+	0.817185i	−0.995891	−	0.0905627i	$-0.971133\pi$
$173$	−244.865	+	141.373i	−1.41541	+	0.817185i	−0.419516	+	0.907748i	$0.637800\pi$
$174$	42.5167	−	42.5167i	0.244349	−	0.244349i
$175$	−111.086	−	29.7654i	−0.634776	−	0.170088i
$176$	−24.6654	+	92.0526i	−0.140144	+	0.523026i
$177$	81.8179	+	81.8179i	0.462248	+	0.462248i
$178$	31.8301	+	55.1314i	0.178821	+	0.309727i
$179$	−258.904	−	149.478i	−1.44639	−	0.835074i	−0.448126	−	0.893970i	$-0.647908\pi$
$179$	−258.904	−	149.478i	−1.44639	−	0.835074i	−0.998264	+	0.0588968i	$0.981242\pi$
$180$	−2.45448	+	0.657677i	−0.0136360	+	0.00365376i
$181$			299.081i			1.65238i	0.563392	+	0.826190i	$0.309496\pi$
$181$			299.081i			1.65238i	−0.563392	+	0.826190i	$0.690504\pi$
$182$	110.033	−	190.583i	0.604579	−	1.04716i
$183$	268.760			1.46864
$184$	20.9212	+	78.0788i	0.113702	+	0.424342i
$185$	134.605	−	233.143i	0.727595	−	1.26023i
$186$	12.4641	−	7.19615i	0.0670113	−	0.0386890i
$187$	52.3257	−	52.3257i	0.279816	−	0.279816i
$188$	0.117314	+	0.0314342i	0.000624011	+	0.000167203i
$189$	−65.2820	+	243.636i	−0.345408	+	1.28908i
$190$	29.3923	+	29.3923i	0.154696	+	0.154696i
$191$	118.002	+	204.385i	0.617811	+	1.07008i	0.989884	+	0.141877i	$0.0453136\pi$
$191$	118.002	+	204.385i	0.617811	+	1.07008i	−0.372073	+	0.928203i	$0.621353\pi$
$192$	−160.165	−	92.4711i	−0.834191	−	0.481621i
$193$	312.449	−	83.7205i	1.61891	−	0.433785i	0.668228	−	0.743957i	$-0.267053\pi$
$193$	312.449	−	83.7205i	1.61891	−	0.433785i	0.950681	+	0.310172i	$0.100386\pi$
$194$		−	149.622i		−	0.771246i
$195$	211.825	+	56.7583i	1.08628	+	0.291068i
$196$	−7.44486			−0.0379840
$197$	−62.1122	−	231.806i	−0.315290	−	1.17668i	−0.923719	−	0.383071i	$-0.874867\pi$
$197$	−62.1122	−	231.806i	−0.315290	−	1.17668i	0.608429	−	0.793608i	$-0.291800\pi$
$198$	9.51666	−	16.4833i	0.0480639	−	0.0832492i
$199$	44.5481	−	25.7199i	0.223860	−	0.129245i	−0.383876	−	0.923384i	$-0.625411\pi$
$199$	44.5481	−	25.7199i	0.223860	−	0.129245i	0.607736	+	0.794139i	$0.292078\pi$
$200$	−76.5167	+	76.5167i	−0.382583	+	0.382583i
$201$	−203.655	−	54.5692i	−1.01321	−	0.271489i
$202$	16.9974	−	63.4352i	0.0841457	−	0.314036i
$203$	−70.5885	−	70.5885i	−0.347726	−	0.347726i
$204$	4.22243	+	7.31347i	0.0206982	+	0.0358503i
$205$	−104.983	−	60.6122i	−0.512114	−	0.295669i
$206$	−334.447	+	89.6147i	−1.62353	+	0.435023i
$207$		−	15.0577i		−	0.0727426i
$208$	−96.5666	−	167.258i	−0.464263	−	0.804127i
$209$	22.3538			0.106956
$210$	73.9090	+	275.832i	0.351947	+	1.31349i
$211$	103.648	−	179.524i	0.491223	−	0.850823i	−0.508726	−	0.860929i	$-0.669883\pi$
$211$	103.648	−	179.524i	0.491223	−	0.850823i	0.999949	+	0.0101053i	$0.00321667\pi$
$212$	18.2776	−	10.5526i	0.0862149	−	0.0497762i
$213$	62.0526	−	62.0526i	0.291327	−	0.291327i
$214$	151.772	+	40.6673i	0.709217	+	0.190034i
$215$	−83.0385	+	309.904i	−0.386225	+	1.44141i
$216$	167.818	+	167.818i	0.776935	+	0.776935i
$217$	−11.9474	−	20.6936i	−0.0550573	−	0.0953621i
$218$	0.0455173	+	0.0262794i	0.000208795	+	0.000120548i
$219$	−180.165	+	48.2750i	−0.822670	+	0.220434i
$220$			10.6128i			0.0482402i
$221$			149.967i			0.678582i
$222$	−230.119			−1.03657
$223$	84.5326	+	315.480i	0.379070	+	1.41471i	0.847306	+	0.531105i	$0.178223\pi$
$223$	84.5326	+	315.480i	0.379070	+	1.41471i	−0.468236	+	0.883604i	$0.655110\pi$
$224$	−18.7513	+	32.4782i	−0.0837111	+	0.144992i
$225$	17.4571	−	10.0788i	0.0775869	−	0.0447948i
$226$	125.701	−	125.701i	0.556197	−	0.556197i
$227$	−234.720	−	62.8930i	−1.03401	−	0.277062i	−0.298380	−	0.954447i	$-0.596446\pi$
$227$	−234.720	−	62.8930i	−1.03401	−	0.277062i	−0.735628	+	0.677386i	$0.763113\pi$
$228$	−0.660254	+	2.46410i	−0.00289585	+	0.0108075i
$229$	−75.7321	−	75.7321i	−0.330708	−	0.330708i	0.522148	−	0.852855i	$-0.325131\pi$
$229$	−75.7321	−	75.7321i	−0.330708	−	0.330708i	−0.852855	+	0.522148i	$0.825131\pi$
$230$	−58.4711	−	101.275i	−0.254222	−	0.440326i
$231$	132.995	+	76.7846i	0.575735	+	0.332401i
$232$	−90.7295	+	24.3109i	−0.391075	+	0.104788i
$233$		−	304.592i		−	1.30726i	−0.756813	−	0.653631i	$-0.773245\pi$
$233$		−	304.592i		−	1.30726i	0.756813	−	0.653631i	$-0.226755\pi$
$234$	9.98334	+	37.2583i	0.0426638	+	0.159224i
$235$	−2.79869			−0.0119093
$236$	−2.93713	−	10.9615i	−0.0124455	−	0.0464471i
$237$	113.033	−	195.779i	0.476934	−	0.826074i
$238$	−169.119	+	97.6410i	−0.710585	+	0.410256i
$239$	250.655	−	250.655i	1.04877	−	1.04877i	0.0500178	−	0.998748i	$-0.484072\pi$
$239$	250.655	−	250.655i	1.04877	−	1.04877i	0.998748	−	0.0500178i	$-0.0159278\pi$
$240$	242.074	+	64.8634i	1.00864	+	0.270264i
$241$	11.6487	−	43.4737i	0.0483351	−	0.180389i	−0.937538	−	0.347883i	$-0.886901\pi$
$241$	11.6487	−	43.4737i	0.0483351	−	0.180389i	0.985873	+	0.167494i	$0.0535674\pi$
$242$	109.079	+	109.079i	0.450739	+	0.450739i
$243$	−40.9878	−	70.9930i	−0.168674	−	0.292152i
$244$	−22.8275	−	13.1795i	−0.0935555	−	0.0540143i
$245$	165.710	−	44.4019i	0.676368	−	0.181232i
$246$			103.622i			0.421227i
$247$	−32.0333	+	32.0333i	−0.129690	+	0.129690i
$248$	−22.4833			−0.0906586
$249$	−69.5167	−	259.440i	−0.279183	−	1.04193i
$250$	−70.8275	+	122.677i	−0.283310	+	0.490708i
$251$	116.375	−	67.1891i	0.463645	−	0.267686i	−0.249931	−	0.968264i	$-0.580408\pi$
$251$	116.375	−	67.1891i	0.463645	−	0.267686i	0.713576	+	0.700578i	$0.247074\pi$
$252$	2.54998	−	2.54998i	0.0101190	−	0.0101190i
$253$	−60.7461	−	16.2769i	−0.240103	−	0.0643355i
$254$	36.7583	−	137.184i	0.144718	−	0.540094i
$255$	−137.603	−	137.603i	−0.539618	−	0.539618i
$256$	25.6051	+	44.3494i	0.100020	+	0.173240i
$257$	283.227	+	163.521i	1.10205	+	0.636269i	0.936759	−	0.349976i	$-0.113810\pi$
$257$	283.227	+	163.521i	1.10205	+	0.636269i	0.165291	+	0.986245i	$0.447144\pi$
$258$	264.904	−	70.9808i	1.02676	−	0.275119i
$259$			382.056i			1.47512i
$260$	−15.2083	−	15.2083i	−0.0584936	−	0.0584936i
$261$	17.4974			0.0670399
$262$	−24.4904	−	91.3993i	−0.0934747	−	0.348852i
$263$	−225.669	+	390.870i	−0.858058	+	1.48620i	0.0157213	+	0.999876i	$0.494996\pi$
$263$	−225.669	+	390.870i	−0.858058	+	1.48620i	−0.873779	+	0.486323i	$0.838338\pi$
$264$	125.138	−	72.2487i	0.474009	−	0.273669i
$265$	−343.892	+	343.892i	−1.29770	+	1.29770i
$266$	−56.9808	−	15.2679i	−0.214213	−	0.0573983i
$267$	23.3013	−	86.9615i	0.0872707	−	0.325699i
$268$	14.6218	+	14.6218i	0.0545589	+	0.0545589i
$269$	−78.3538	−	135.713i	−0.291278	−	0.504509i	0.682834	−	0.730573i	$-0.260747\pi$
$269$	−78.3538	−	135.713i	−0.291278	−	0.504509i	−0.974112	+	0.226065i	$0.927414\pi$
$270$	−297.349	−	171.674i	−1.10129	−	0.635831i
$271$	247.133	−	66.2192i	0.911931	−	0.244351i	0.227798	−	0.973708i	$-0.426847\pi$
$271$	247.133	−	66.2192i	0.911931	−	0.244351i	0.684133	+	0.729357i	$0.260181\pi$
$272$			171.382i			0.630081i
$273$	−300.617	+	80.5500i	−1.10116	+	0.295055i
$274$	−137.301			−0.501100
$275$	−21.7898	−	81.3205i	−0.0792355	−	0.295711i
$276$	3.58846	−	6.21539i	0.0130017	−	0.0225195i
$277$	−57.8904	+	33.4230i	−0.208991	+	0.120661i	−0.600842	−	0.799368i	$-0.705168\pi$
$277$	−57.8904	+	33.4230i	−0.208991	+	0.120661i	0.391852	+	0.920028i	$0.371835\pi$
$278$	−157.870	+	157.870i	−0.567879	+	0.567879i
$279$	4.04552	+	1.08399i	0.0145001	+	0.00388528i
$280$	115.459	−	430.899i	0.412353	−	1.53892i
$281$	111.026	+	111.026i	0.395111	+	0.395111i	0.876505	−	0.481393i	$-0.159869\pi$
$281$	111.026	+	111.026i	0.395111	+	0.395111i	−0.481393	+	0.876505i	$0.659869\pi$
$282$	1.19615	+	2.07180i	0.00424168	+	0.00734680i
$283$	−41.1962	−	23.7846i	−0.145569	−	0.0840446i	0.425446	−	0.904984i	$-0.360117\pi$
$283$	−41.1962	−	23.7846i	−0.145569	−	0.0840446i	−0.571016	+	0.820939i	$0.693450\pi$
$284$	−8.31347	+	2.22759i	−0.0292728	+	0.00784361i
$285$		−	58.7846i		−	0.206262i
$286$	161.100			0.563287
$287$	172.038			0.599437
$288$	−1.70131	−	6.34936i	−0.00590732	−	0.0220464i
$289$	−77.9615	+	135.033i	−0.269763	+	0.467243i
$290$	117.684	−	67.9449i	0.405807	−	0.234293i
$291$	−149.622	+	149.622i	−0.514164	+	0.514164i
$292$	17.6699	+	4.73463i	0.0605133	+	0.0162145i
$293$	2.24236	−	8.36860i	0.00765311	−	0.0285618i	−0.961994	−	0.273072i	$-0.911960\pi$
$293$	2.24236	−	8.36860i	0.00765311	−	0.0285618i	0.969647	+	0.244510i	$0.0786271\pi$
$294$	−103.694	−	103.694i	−0.352699	−	0.352699i
$295$	130.751	+	226.468i	0.443225	+	0.767688i
$296$	311.325	+	179.744i	1.05177	+	0.607242i
$297$	−178.354	+	47.7898i	−0.600518	+	0.160908i
$298$		−	526.181i		−	1.76571i
$299$	110.375	−	63.7250i	0.369147	−	0.213127i
$300$	9.60770			0.0320257
$301$	−117.846	−	439.808i	−0.391515	−	1.46115i
$302$	−90.1506	+	156.145i	−0.298512	+	0.517038i
$303$	−80.4327	+	46.4378i	−0.265454	+	0.153260i
$304$	−36.6077	+	36.6077i	−0.120420	+	0.120420i
$305$	586.707	+	157.208i	1.92363	+	0.515435i
$306$	8.85898	−	33.0622i	0.0289509	−	0.108046i
$307$	−228.219	−	228.219i	−0.743385	−	0.743385i	0.229843	−	0.973228i	$-0.426179\pi$
$307$	−228.219	−	228.219i	−0.743385	−	0.743385i	−0.973228	+	0.229843i	$0.926179\pi$
$308$	−7.53074	−	13.0436i	−0.0244505	−	0.0423494i
$309$	424.061	+	244.832i	1.37237	+	0.792337i
$310$	31.4186	−	8.41858i	0.101350	−	0.0271567i
$311$			77.4782i			0.249126i	0.992212	+	0.124563i	$0.0397529\pi$
$311$			77.4782i			0.249126i	−0.992212	+	0.124563i	$0.960247\pi$
$312$	−75.7917	+	282.858i	−0.242922	+	0.906597i
$313$	−165.685			−0.529344			−0.264672	−	0.964339i	$-0.585264\pi$
$313$	−165.685			−0.529344			−0.264672	+	0.964339i	$0.585264\pi$
$314$	−23.8731	−	89.0955i	−0.0760289	−	0.283744i
$315$	−41.5500	+	71.9667i	−0.131905	+	0.228466i
$316$	−19.2013	+	11.0859i	−0.0607636	+	0.0350819i
$317$	97.0544	−	97.0544i	0.306165	−	0.306165i	−0.537255	−	0.843420i	$-0.680539\pi$
$317$	97.0544	−	97.0544i	0.306165	−	0.306165i	0.843420	+	0.537255i	$0.180539\pi$
$318$	401.552	+	107.595i	1.26274	+	0.338351i
$319$	18.9141	−	70.5885i	0.0592919	−	0.221280i
$320$	−295.552	−	295.552i	−0.923600	−	0.923600i
$321$	−111.105	−	192.440i	−0.346122	−	0.599501i
$322$	143.727	+	82.9808i	0.446357	+	0.257704i
$323$	38.8301	−	10.4045i	0.120217	−	0.0322121i
$324$		−	17.3679i		−	0.0536047i
$325$	147.758	+	85.3083i	0.454641	+	0.262487i
$326$	−121.531			−0.372794
$327$	−0.0192379	−	0.0717968i	−5.88315e−5	−	0.000219562i
$328$	80.9378	−	140.188i	0.246762	−	0.427404i
$329$	3.43971	−	1.98592i	0.0104550	−	0.00603622i
$330$	−147.818	+	147.818i	−0.447933	+	0.447933i
$331$	−292.603	−	78.4026i	−0.883996	−	0.236866i	−0.211865	−	0.977299i	$-0.567954\pi$
$331$	−292.603	−	78.4026i	−0.883996	−	0.236866i	−0.672130	+	0.740433i	$0.734621\pi$
$332$	−6.81793	+	25.4449i	−0.0205359	+	0.0766412i
$333$	−47.3519	−	47.3519i	−0.142198	−	0.142198i
$334$	176.406	+	305.545i	0.528163	+	0.914805i
$335$	−412.662	−	238.251i	−1.23183	−	0.711196i
$336$	−343.545	+	92.0526i	−1.02245	+	0.273966i
$337$		−	90.7795i		−	0.269375i	−0.990888	−	0.134688i	$-0.956997\pi$
$337$		−	90.7795i		−	0.269375i	0.990888	−	0.134688i	$-0.0430031\pi$
$338$	−230.858	+	230.858i	−0.683013	+	0.683013i
$339$	−251.401			−0.741597
$340$	4.93971	+	18.4352i	0.0145286	+	0.0542213i
$341$	8.74613	−	15.1487i	0.0256485	−	0.0444245i
$342$	8.95448	−	5.16987i	0.0261827	−	0.0151166i
$343$	131.454	−	131.454i	0.383247	−	0.383247i
$344$	−413.827	−	110.885i	−1.20299	−	0.322339i
$345$	−42.8038	+	159.746i	−0.124069	+	0.463032i
$346$	386.238	+	386.238i	1.11630	+	1.11630i
$347$	52.5903	+	91.0891i	0.151557	+	0.262505i	0.931800	−	0.362972i	$-0.118238\pi$
$347$	52.5903	+	91.0891i	0.151557	+	0.262505i	−0.780243	+	0.625477i	$0.784905\pi$
$348$	7.22243	+	4.16987i	0.0207541	+	0.0119824i
$349$	158.040	−	42.3468i	0.452838	−	0.121338i	−0.0251892	−	0.999683i	$-0.508019\pi$
$349$	158.040	−	42.3468i	0.452838	−	0.121338i	0.478027	+	0.878345i	$0.341352\pi$
$350$			222.172i			0.634776i
$351$	187.100	−	324.067i	0.533048	−	0.923267i
$352$	−27.4538			−0.0779937
$353$	77.1692	+	287.999i	0.218610	+	0.815862i	0.984865	+	0.173325i	$0.0554513\pi$
$353$	77.1692	+	287.999i	0.218610	+	0.815862i	−0.766255	+	0.642537i	$0.777882\pi$
$354$	111.765	−	193.583i	0.315721	−	0.546845i
$355$	171.758	−	99.1647i	0.483826	−	0.279337i
$356$	−6.24356	+	6.24356i	−0.0175381	+	0.0175381i
$357$	266.760	+	71.4782i	0.747227	+	0.200219i
$358$	−149.478	+	557.860i	−0.417537	+	1.55827i
$359$	299.923	+	299.923i	0.835440	+	0.835440i	0.988255	−	0.152815i	$-0.0488337\pi$
$359$	299.923	+	299.923i	0.835440	+	0.835440i	−0.152815	+	0.988255i	$0.548834\pi$
$360$	39.0955	+	67.7154i	0.108599	+	0.188098i
$361$	−302.119	−	174.428i	−0.836893	−	0.483181i
$362$	558.092	−	149.540i	1.54169	−	0.413095i
$363$		−	218.158i		−	0.600985i
$364$	29.4833	+	7.90004i	0.0809982	+	0.0217034i
$365$	−421.540			−1.15490
$366$	−134.380	−	501.513i	−0.367159	−	1.37026i
$367$	61.2750	−	106.131i	0.166962	−	0.289186i	−0.770388	−	0.637575i	$-0.779938\pi$
$367$	61.2750	−	106.131i	0.166962	−	0.289186i	0.937350	+	0.348388i	$0.113271\pi$
$368$	126.137	−	72.8250i	0.342762	−	0.197894i
$369$	−21.3224	+	21.3224i	−0.0577843	+	0.0577843i
$370$	−502.353	−	134.605i	−1.35771	−	0.363798i
$371$	178.636	−	666.678i	0.481498	−	1.79698i
$372$	1.41154	+	1.41154i	0.00379447	+	0.00379447i
$373$	−10.6384	−	18.4263i	−0.0285213	−	0.0494003i	0.851412	−	0.524497i	$-0.175747\pi$
$373$	−10.6384	−	18.4263i	−0.0285213	−	0.0494003i	−0.879934	+	0.475096i	$0.842413\pi$
$374$	−123.804	−	71.4782i	−0.331026	−	0.191118i
$375$	193.504	−	51.8494i	0.516012	−	0.138265i
$376$		−	3.73721i		−	0.00993938i
$377$	74.0500	+	128.258i	0.196419	+	0.340208i
$378$	487.272			1.28908
$379$	87.1417	+	325.217i	0.229925	+	0.858093i	0.980371	+	0.197161i	$0.0631722\pi$
$379$	87.1417	+	325.217i	0.229925	+	0.858093i	−0.750446	+	0.660932i	$0.770161\pi$
$380$	−2.88269	+	4.99296i	−0.00758602	+	0.0131394i
$381$	−173.942	+	100.426i	−0.456541	+	0.263584i
$382$	322.387	−	322.387i	0.843945	−	0.843945i
$383$	−183.061	−	49.0512i	−0.477967	−	0.128071i	0.0117887	−	0.999931i	$-0.496247\pi$
$383$	−183.061	−	49.0512i	−0.477967	−	0.128071i	−0.489756	+	0.871860i	$0.662914\pi$
$384$	−80.3660	+	299.930i	−0.209287	+	0.781068i
$385$	245.415	+	245.415i	0.637442	+	0.637442i
$386$	−312.449	−	541.178i	−0.809454	−	1.40202i
$387$	69.1154	+	39.9038i	0.178593	+	0.103111i
$388$	20.0455	−	5.37118i	0.0516637	−	0.0138432i
$389$			195.522i			0.502627i	0.967906	+	0.251313i	$0.0808625\pi$
$389$			195.522i			0.502627i	−0.967906	+	0.251313i	$0.919138\pi$
$390$		−	423.650i		−	1.08628i
$391$	−113.096			−0.289249
$392$	59.2917	+	221.279i	0.151254	+	0.564488i
$393$	−66.9090	+	115.890i	−0.170252	+	0.294885i
$394$	−401.499	+	231.806i	−1.01903	+	0.588339i
$395$	361.272	−	361.272i	0.914612	−	0.914612i
$396$	2.54998	+	0.683265i	0.00643935	+	0.00172542i
$397$	−108.578	+	405.217i	−0.273495	+	1.02070i	0.683348	+	0.730093i	$0.260523\pi$
$397$	−108.578	+	405.217i	−0.273495	+	1.02070i	−0.956843	+	0.290605i	$0.906143\pi$
$398$	−70.2679	−	70.2679i	−0.176553	−	0.176553i
$399$	41.7128	+	72.2487i	0.104543	+	0.181074i
$400$	168.858	+	97.4904i	0.422146	+	0.243726i
$401$	−753.833	+	201.989i	−1.87988	+	0.503713i	−0.880313	+	0.474393i	$0.842668\pi$
$401$	−753.833	+	201.989i	−1.87988	+	0.503713i	−0.999570	+	0.0293204i	$0.990666\pi$
$402$			407.310i			1.01321i
$403$	9.17503	+	34.2417i	0.0227668	+	0.0849669i
$404$	9.10889			0.0225468
$405$	103.584	+	386.581i	0.255763	+	0.954520i
$406$	−96.4256	+	167.014i	−0.237502	+	0.411365i
$407$	−242.214	+	139.842i	−0.595120	+	0.343593i
$408$	183.746	−	183.746i	0.450358	−	0.450358i
$409$	353.679	+	94.7679i	0.864740	+	0.231706i	0.663812	−	0.747899i	$-0.268937\pi$
$409$	353.679	+	94.7679i	0.864740	+	0.231706i	0.200928	+	0.979606i	$0.435604\pi$
$410$	−60.6122	+	226.208i	−0.147835	+	0.551726i
$411$	137.301	+	137.301i	0.334066	+	0.334066i
$412$	−24.0122	−	41.5903i	−0.0582820	−	0.100947i
$413$	−321.397	−	185.559i	−0.778202	−	0.449295i
$414$	−28.0981	+	7.52886i	−0.0678697	+	0.0181856i
$415$		−	607.023i		−	1.46271i
$416$	39.3416	−	39.3416i	0.0945712	−	0.0945712i
$417$	315.741			0.757173
$418$	−11.1769	−	41.7128i	−0.0267390	−	0.0997914i
$419$	275.279	−	476.797i	0.656990	−	1.13794i	−0.324401	−	0.945920i	$-0.605163\pi$
$419$	275.279	−	476.797i	0.656990	−	1.13794i	0.981391	−	0.192020i	$-0.0615039\pi$
$420$	−34.3013	+	19.8038i	−0.0816697	+	0.0471520i
$421$	−233.619	+	233.619i	−0.554913	+	0.554913i	−0.927855	−	0.372942i	$-0.878349\pi$
$421$	−233.619	+	233.619i	−0.554913	+	0.554913i	0.372942	+	0.927855i	$0.378349\pi$
$422$	−386.820	−	103.648i	−0.916635	−	0.245612i
$423$	−0.180183	+	0.672450i	−0.000425963	+	0.00158972i
$424$	−459.212	−	459.212i	−1.08305	−	1.08305i
$425$	−75.7006	−	131.117i	−0.178119	−	0.308511i
$426$	−146.818	−	84.7654i	−0.344643	−	0.198980i
$427$	−832.640	+	223.105i	−1.94998	+	0.522494i
$428$			21.7935i			0.0509195i
$429$	−161.100	−	161.100i	−0.375524	−	0.375524i
$430$	619.808			1.44141
$431$	188.301	+	702.750i	0.436894	+	1.63051i	0.736493	+	0.676445i	$0.236480\pi$
$431$	188.301	+	702.750i	0.436894	+	1.63051i	−0.299599	+	0.954065i	$0.596853\pi$
$432$	213.818	−	370.344i	0.494949	−	0.857277i
$433$	576.108	−	332.616i	1.33050	−	0.768166i	0.345126	−	0.938556i	$-0.387836\pi$
$433$	576.108	−	332.616i	1.33050	−	0.768166i	0.985377	+	0.170390i	$0.0545028\pi$
$434$	−32.6410	+	32.6410i	−0.0752097	+	0.0752097i
$435$	−185.629	−	49.7391i	−0.426733	−	0.114343i
$436$	−0.00188678	+	0.00704156i	−4.32747e−6	+	1.61504e-5i
$437$	−24.1577	−	24.1577i	−0.0552807	−	0.0552807i
$438$	180.165	+	312.054i	0.411335	+	0.712453i
$439$	233.942	+	135.067i	0.532898	+	0.307669i	0.742196	−	0.670183i	$-0.233784\pi$
$439$	233.942	+	135.067i	0.532898	+	0.307669i	−0.209298	+	0.977852i	$0.567118\pi$
$440$	315.440	−	84.5218i	0.716908	−	0.192095i
$441$		−	42.6743i		−	0.0967672i
$442$	279.842	−	74.9833i	0.633126	−	0.169646i
$443$	309.723			0.699149			0.349575	−	0.936909i	$-0.386326\pi$
$443$	309.723			0.699149			0.349575	+	0.936909i	$0.386326\pi$
$444$	−8.26091	−	30.8301i	−0.0186056	−	0.0694372i
$445$	101.734	−	176.208i	0.228616	−	0.395974i
$446$	546.428	−	315.480i	1.22517	−	0.707354i
$447$	−526.181	+	526.181i	−1.17714	+	1.17714i
$448$	572.965	+	153.526i	1.27894	+	0.342691i
$449$	114.399	−	426.944i	0.254787	−	0.950878i	−0.713422	−	0.700735i	$-0.752856\pi$
$449$	114.399	−	426.944i	0.254787	−	0.950878i	0.968209	−	0.250143i	$-0.0804777\pi$
$450$	−27.5359	−	27.5359i	−0.0611909	−	0.0611909i
$451$	62.9705	+	109.068i	0.139624	+	0.241836i
$452$	21.3531	+	12.3282i	0.0472415	+	0.0272749i
$453$	246.296	−	65.9948i	0.543700	−	0.145684i
$454$			469.440i			1.03401i
$455$	−703.367			−1.54586
$456$	78.4974			0.172143
$457$	−46.6980	−	174.279i	−0.102184	−	0.381355i	0.895827	−	0.444404i	$-0.146584\pi$
$457$	−46.6980	−	174.279i	−0.102184	−	0.381355i	−0.998010	+	0.0630483i	$0.979918\pi$
$458$	−103.452	+	179.184i	−0.225878	+	0.391231i
$459$	−287.569	+	166.028i	−0.626512	+	0.361717i
$460$	11.4693	−	11.4693i	0.0249332	−	0.0249332i
$461$	−201.397	−	53.9641i	−0.436869	−	0.117059i	0.0336796	−	0.999433i	$-0.489277\pi$
$461$	−201.397	−	53.9641i	−0.436869	−	0.117059i	−0.470549	+	0.882374i	$0.655944\pi$
$462$	76.7846	−	286.564i	0.166200	−	0.620269i
$463$	−316.809	−	316.809i	−0.684253	−	0.684253i	0.276703	−	0.960956i	$-0.410758\pi$
$463$	−316.809	−	316.809i	−0.684253	−	0.684253i	−0.960956	+	0.276703i	$0.910758\pi$
$464$	84.6244	+	146.574i	0.182380	+	0.315892i
$465$	−39.8372	−	23.0000i	−0.0856713	−	0.0494624i
$466$	−568.377	+	152.296i	−1.21969	+	0.326816i
$467$			357.415i			0.765343i	0.923884	+	0.382672i	$0.124996\pi$
$467$			357.415i			0.765343i	−0.923884	+	0.382672i	$0.875004\pi$
$468$	−4.63328	+	2.67503i	−0.00990018	+	0.00571587i
$469$	676.238			1.44187
$470$	1.39935	+	5.22243i	0.00297733	+	0.0111116i
$471$	−65.2224	+	112.969i	−0.138477	+	0.239848i
$472$	−302.412	+	174.597i	−0.640702	+	0.369910i
$473$	235.692	−	235.692i	0.498292	−	0.498292i
$474$	−421.846	−	113.033i	−0.889971	−	0.238467i
$475$	11.8372	−	44.1769i	0.0249204	−	0.0930040i
$476$	−19.1525	−	19.1525i	−0.0402364	−	0.0402364i
$477$	60.4878	+	104.768i	0.126809	+	0.219639i
$478$	−593.056	−	342.401i	−1.24070	−	0.716321i
$479$	417.217	−	111.793i	0.871017	−	0.233388i	0.204490	−	0.978869i	$-0.434447\pi$
$479$	417.217	−	111.793i	0.871017	−	0.233388i	0.666528	+	0.745480i	$0.267780\pi$
$480$			72.1962i			0.150409i
$481$	146.700	−	547.492i	0.304989	−	1.13824i
$482$	−86.9474			−0.180389
$483$	−60.7461	−	226.708i	−0.125768	−	0.469374i
$484$	−10.6980	+	18.5295i	−0.0221034	+	0.0382842i
$485$	−414.145	+	239.107i	−0.853908	+	0.493004i
$486$	−111.981	+	111.981i	−0.230413	+	0.230413i
$487$	286.937	+	76.8846i	0.589193	+	0.157874i	0.541084	−	0.840968i	$-0.318014\pi$
$487$	286.937	+	76.8846i	0.589193	+	0.157874i	0.0481088	+	0.998842i	$0.484681\pi$
$488$	−209.926	+	783.453i	−0.430175	+	1.60544i
$489$	121.531	+	121.531i	0.248529	+	0.248529i
$490$	−165.710	−	287.019i	−0.338184	−	0.585752i
$491$	685.319	+	395.669i	1.39576	+	0.805844i	0.993945	−	0.109877i	$-0.0350456\pi$
$491$	685.319	+	395.669i	1.39576	+	0.805844i	0.401817	+	0.915720i	$0.368379\pi$
$492$	−13.8827	+	3.71985i	−0.0282168	+	0.00756068i
$493$		−	131.420i		−	0.266573i
$494$	75.7917	+	43.7583i	0.153424	+	0.0885796i
$495$	−60.8334			−0.122896
$496$	10.4852	+	39.1314i	0.0211396	+	0.0788939i
$497$	−140.732	+	243.755i	−0.283163	+	0.490453i
$498$	−449.363	+	259.440i	−0.902335	+	0.520963i
$499$	−307.603	+	307.603i	−0.616438	+	0.616438i	−0.944616	−	0.328178i	$-0.893565\pi$
$499$	−307.603	+	307.603i	−0.616438	+	0.616438i	0.328178	+	0.944616i	$0.393565\pi$
$500$	−18.9782	−	5.08519i	−0.0379564	−	0.0101704i
$501$	129.138	−	481.951i	0.257761	−	0.961978i
$502$	−183.564	−	183.564i	−0.365665	−	0.365665i
$503$	−142.200	−	246.297i	−0.282704	−	0.489657i	0.689346	−	0.724432i	$-0.257898\pi$
$503$	−142.200	−	246.297i	−0.282704	−	0.489657i	−0.972050	+	0.234775i	$0.924565\pi$
$504$	−96.1000	−	55.4833i	−0.190675	−	0.110086i
$505$	−202.749	+	54.3264i	−0.401483	+	0.107577i
$506$			121.492i			0.240103i
$507$	461.717			0.910684
$508$	19.6987			0.0387770
$509$	3.39488	+	12.6699i	0.00666971	+	0.0248917i	0.969180	−	0.246352i	$-0.0792318\pi$
$509$	3.39488	+	12.6699i	0.00666971	+	0.0248917i	−0.962511	+	0.271243i	$0.912565\pi$
$510$	−187.969	+	325.571i	−0.368566	+	0.638375i
$511$	518.090	−	299.119i	1.01387	−	0.585360i
$512$	391.419	−	391.419i	0.764489	−	0.764489i
$513$	−96.8897	−	25.9615i	−0.188869	−	0.0506073i
$514$	163.521	−	610.269i	0.318134	−	1.18729i
$515$	782.520	+	782.520i	1.51946	+	1.51946i
$516$	19.0192	+	32.9423i	0.0368590	+	0.0638416i
$517$	2.51804	+	1.45379i	0.00487049	+	0.00281198i
$518$	712.927	−	191.028i	1.37631	−	0.368780i
$519$		−	772.477i		−	1.48839i
$520$	−330.908	+	573.150i	−0.636362	+	1.10221i
$521$	−913.011			−1.75242			−0.876210	−	0.481929i	$-0.839936\pi$
$521$	−913.011			−1.75242			−0.876210	+	0.481929i	$0.839936\pi$
$522$	−8.74871	−	32.6506i	−0.0167600	−	0.0625491i
$523$	−375.827	+	650.951i	−0.718598	+	1.24465i	0.242957	+	0.970037i	$0.421883\pi$
$523$	−375.827	+	650.951i	−0.718598	+	1.24465i	−0.961555	+	0.274612i	$0.911451\pi$
$524$	11.3660	−	6.56218i	0.0216909	−	0.0125232i
$525$	222.172	−	222.172i	0.423184	−	0.423184i
$526$	842.209	+	225.669i	1.60116	+	0.429029i
$527$	8.14171	−	30.3853i	0.0154492	−	0.0576570i
$528$	−184.105	−	184.105i	−0.348684	−	0.348684i
$529$	−216.442	−	374.889i	−0.409154	−	0.708675i
$530$	813.656	+	469.765i	1.53520	+	0.886348i
$531$	62.8320	−	16.8358i	0.118328	−	0.0317058i
$532$		−	8.18207i		−	0.0153798i
$533$	−246.533	−	66.0584i	−0.462539	−	0.123937i
$534$	−173.923			−0.325699
$535$	−129.979	−	485.088i	−0.242951	−	0.906706i
$536$	318.145	−	551.044i	0.593555	−	1.02807i
$537$	707.338	−	408.382i	1.31720	−	0.760488i
$538$	−214.067	+	214.067i	−0.397893	+	0.397893i
$539$	−172.158	−	46.1295i	−0.319402	−	0.0855835i
$540$	12.3257	−	46.0000i	0.0228253	−	0.0851852i
$541$	125.371	+	125.371i	0.231740	+	0.231740i	0.813419	−	0.581679i	$-0.197604\pi$
$541$	125.371	+	125.371i	0.231740	+	0.231740i	−0.581679	+	0.813419i	$0.697604\pi$
$542$	−247.133	−	428.047i	−0.455965	−	0.789755i
$543$	−707.633	−	408.552i	−1.30319	−	0.752398i
$544$	−47.6891	+	12.7783i	−0.0876638	+	0.0234894i
$545$		−	0.167986i		−	0.000308232i
$546$	300.617	+	520.683i	0.550580	+	0.953632i
$547$	−465.096			−0.850267			−0.425134	−	0.905131i	$-0.639773\pi$
$547$	−465.096			−0.850267			−0.425134	+	0.905131i	$0.639773\pi$
$548$	−4.92889	−	18.3949i	−0.00899433	−	0.0335673i
$549$	75.5455	−	130.849i	0.137606	−	0.238340i
$550$	−140.851	+	81.3205i	−0.256093	+	0.147855i
$551$	28.0718	−	28.0718i	0.0509470	−	0.0509470i
$552$	−213.315	−	57.1577i	−0.386441	−	0.103547i
$553$	−187.664	+	700.372i	−0.339356	+	1.26649i
$554$	91.3135	+	91.3135i	0.164826	+	0.164826i
$555$	367.748	+	636.958i	0.662609	+	1.14767i
$556$	−26.8179	−	15.4833i	−0.0482337	−	0.0278477i
$557$	246.064	−	65.9327i	0.441767	−	0.118371i	−0.0310777	−	0.999517i	$-0.509894\pi$
$557$	246.064	−	65.9327i	0.441767	−	0.118371i	0.472844	+	0.881146i	$0.343227\pi$
$558$		−	8.09103i		−	0.0145001i
$559$			675.500i			1.20841i
$560$	−803.808			−1.43537
$561$	52.3257	+	195.282i	0.0932721	+	0.348096i
$562$	151.665	−	262.691i	0.269866	−	0.467422i
$563$	306.888	−	177.182i	0.545095	−	0.314711i	−0.202046	−	0.979376i	$-0.564759\pi$
$563$	306.888	−	177.182i	0.545095	−	0.314711i	0.747141	+	0.664665i	$0.231426\pi$
$564$	−0.234628	+	0.234628i	−0.000416007	+	0.000416007i
$565$	−548.812	−	147.054i	−0.971349	−	0.260272i
$566$	−23.7846	+	88.7654i	−0.0420223	+	0.156829i
$567$	−401.622	−	401.622i	−0.708328	−	0.708328i
$568$	132.419	+	229.356i	0.233131	+	0.403795i
$569$	−152.685	−	88.1525i	−0.268339	−	0.154925i	0.359794	−	0.933032i	$-0.382847\pi$
$569$	−152.685	−	88.1525i	−0.268339	−	0.154925i	−0.628132	+	0.778106i	$0.716180\pi$
$570$	−109.694	+	29.3923i	−0.192445	+	0.0515654i
$571$			569.751i			0.997813i	0.866656	+	0.498907i	$0.166265\pi$
$571$			569.751i			0.997813i	−0.866656	+	0.498907i	$0.833735\pi$
$572$	5.78323	+	21.5833i	0.0101105	+	0.0377330i
$573$	−644.774			−1.12526
$574$	−86.0192	−	321.028i	−0.149859	−	0.559283i
$575$	−64.3346	+	111.431i	−0.111886	+	0.193793i
$576$	−90.0411	+	51.9852i	−0.156321	+	0.0902521i
$577$	−94.7635	+	94.7635i	−0.164235	+	0.164235i	−0.784440	−	0.620205i	$-0.787049\pi$
$577$	−94.7635	+	94.7635i	−0.164235	+	0.164235i	0.620205	+	0.784440i	$0.287049\pi$
$578$	290.956	+	77.9615i	0.503385	+	0.134882i
$579$	−228.729	+	853.627i	−0.395041	+	1.47431i
$580$	13.3275	+	13.3275i	0.0229785	+	0.0229785i
$581$	430.736	+	746.056i	0.741370	+	1.28409i
$582$	354.009	+	204.387i	0.608263	+	0.351181i
$583$	488.042	−	130.771i	0.837122	−	0.224306i
$584$		−	562.899i		−	0.963868i
$585$	87.1750	−	87.1750i	0.149017	−	0.149017i
$586$	−16.7372			−0.0285618
$587$	−283.123	−	1056.63i	−0.482322	−	1.80005i	−0.591829	−	0.806064i	$-0.701594\pi$
$587$	−283.123	−	1056.63i	−0.482322	−	1.80005i	0.109507	−	0.993986i	$-0.465073\pi$
$588$	10.1699	−	17.6147i	0.0172957	−	0.0299570i
$589$	8.22947	−	4.75129i	0.0139719	−	0.00806670i
$590$	357.219	−	357.219i	0.605456	−	0.605456i
$591$	633.305	+	169.694i	1.07158	+	0.287130i
$592$	167.649	−	625.674i	0.283190	−	1.05688i
$593$	−228.671	−	228.671i	−0.385617	−	0.385617i	0.487504	−	0.873121i	$-0.337908\pi$
$593$	−228.671	−	228.671i	−0.385617	−	0.385617i	−0.873121	+	0.487504i	$0.837908\pi$
$594$	178.354	+	308.918i	0.300259	+	0.520064i
$595$	540.531	+	312.076i	0.908455	+	0.524497i
$596$	70.4948	−	18.8890i	0.118280	−	0.0316930i
$597$			140.536i			0.235404i
$598$	−174.100	−	174.100i	−0.291137	−	0.291137i
$599$	−282.596			−0.471780			−0.235890	−	0.971780i	$-0.575800\pi$
$599$	−282.596			−0.471780			−0.235890	+	0.971780i	$0.575800\pi$
$600$	−76.5167	−	285.564i	−0.127528	−	0.475940i
$601$	70.6558	−	122.379i	0.117564	−	0.203626i	−0.801238	−	0.598346i	$-0.795825\pi$
$601$	70.6558	−	122.379i	0.117564	−	0.203626i	0.918802	+	0.394720i	$0.129158\pi$
$602$	−761.769	+	439.808i	−1.26540	+	0.730577i
$603$	−83.8128	+	83.8128i	−0.138993	+	0.138993i
$604$	−24.1558	−	6.47252i	−0.0399930	−	0.0107161i
$605$	127.608	−	476.241i	0.210923	−	0.787175i
$606$	126.870	+	126.870i	0.209357	+	0.209357i
$607$	−344.398	−	596.515i	−0.567377	−	0.982726i	−0.996824	−	0.0796341i	$-0.974625\pi$
$607$	−344.398	−	596.515i	−0.567377	−	0.982726i	0.429447	−	0.903092i	$-0.358709\pi$
$608$	−12.9160	−	7.45706i	−0.0212434	−	0.0122649i
$609$	263.440	−	70.5885i	0.432578	−	0.115909i
$610$		−	1173.41i		−	1.92363i
$611$	−5.69169	+	1.52508i	−0.00931537	+	0.00249604i
$612$	4.74752			0.00775738
$613$	33.1608	+	123.758i	0.0540959	+	0.201888i	0.987685	−	0.156458i	$-0.0500075\pi$
$613$	33.1608	+	123.758i	0.0540959	+	0.201888i	−0.933589	+	0.358346i	$0.883341\pi$
$614$	−311.753	+	539.972i	−0.507741	+	0.879434i
$615$	286.820	−	165.595i	0.466374	−	0.269261i
$616$	−327.713	+	327.713i	−0.532001	+	0.532001i
$617$	−103.088	−	27.6225i	−0.167080	−	0.0447690i	0.174309	−	0.984691i	$-0.444231\pi$
$617$	−103.088	−	27.6225i	−0.167080	−	0.0447690i	−0.341389	+	0.939922i	$0.610897\pi$
$618$	244.832	−	913.726i	0.396168	−	1.47852i
$619$	251.517	+	251.517i	0.406327	+	0.406327i	0.880456	−	0.474128i	$-0.157237\pi$
$619$	251.517	+	251.517i	0.406327	+	0.406327i	−0.474128	+	0.880456i	$0.657237\pi$
$620$	2.25575	+	3.90708i	0.00363831	+	0.00630174i
$621$	244.392	+	141.100i	0.393546	+	0.227214i
$622$	144.576	−	38.7391i	0.232438	−	0.0622815i
$623$			288.756i			0.463493i
$624$	527.650			0.845593
$625$	780.860			1.24938
$626$	82.8423	+	309.172i	0.132336	+	0.493885i
$627$	−30.5359	+	52.8897i	−0.0487016	+	0.0843536i
$628$	11.0795	−	6.39677i	0.0176426	−	0.0101859i
$629$	−355.653	+	355.653i	−0.565426	+	0.565426i
$630$	155.067	+	41.5500i	0.246138	+	0.0659524i
$631$	−103.187	+	385.100i	−0.163530	+	0.610301i	0.834693	+	0.550715i	$0.185645\pi$
$631$	−103.187	+	385.100i	−0.163530	+	0.610301i	−0.998223	+	0.0595863i	$0.981022\pi$
$632$	482.420	+	482.420i	0.763324	+	0.763324i
$633$	283.172	+	490.468i	0.447349	+	0.774831i
$634$	−229.633	−	132.579i	−0.362198	−	0.209115i
$635$	−438.461	+	117.485i	−0.690490	+	0.185016i
$636$			57.6603i			0.0906608i
$637$	312.808	−	180.600i	0.491065	−	0.283516i
$638$	−141.177			−0.221280
$639$	−12.7686	−	47.6532i	−0.0199822	−	0.0745747i
$640$	−350.880	+	607.742i	−0.548250	+	0.949597i
$641$	−248.283	+	143.346i	−0.387337	+	0.223629i	−0.681005	−	0.732278i	$-0.738457\pi$
$641$	−248.283	+	143.346i	−0.387337	+	0.223629i	0.293669	+	0.955907i	$0.405124\pi$
$642$	−303.545	+	303.545i	−0.472811	+	0.472811i
$643$	837.927	+	224.522i	1.30315	+	0.349179i	0.842641	−	0.538475i	$-0.181000\pi$
$643$	837.927	+	224.522i	1.30315	+	0.349179i	0.460511	+	0.887654i	$0.347666\pi$
$644$	−5.95775	+	22.2346i	−0.00925117	+	0.0345258i
$645$	−619.808	−	619.808i	−0.960942	−	0.960942i
$646$	−38.8301	−	67.2558i	−0.0601086	−	0.104111i
$647$	−856.944	−	494.757i	−1.32449	−	0.764694i	−0.340047	−	0.940408i	$-0.610443\pi$
$647$	−856.944	−	494.757i	−1.32449	−	0.764694i	−0.984441	+	0.175714i	$0.943776\pi$
$648$	−516.217	+	138.320i	−0.796631	+	0.213457i
$649$		−	271.677i		−	0.418609i
$650$	85.3083	−	318.375i	0.131244	−	0.489808i
$651$	65.2820			0.100280
$652$	−4.36276	−	16.2820i	−0.00669135	−	0.0249724i
$653$	67.5692	−	117.033i	0.103475	−	0.179224i	−0.809639	−	0.586928i	$-0.800337\pi$
$653$	67.5692	−	117.033i	0.103475	−	0.179224i	0.913114	+	0.407704i	$0.133670\pi$
$654$	−0.124356	+	0.0717968i	−0.000190146	+	0.000109781i
$655$	−213.851	+	213.851i	−0.326490	+	0.326490i
$656$	−281.738	−	75.4916i	−0.429479	−	0.115079i
$657$	−27.1391	+	101.285i	−0.0413077	+	0.154162i
$658$	−5.42563	−	5.42563i	−0.00824563	−	0.00824563i
$659$	−618.512	−	1071.29i	−0.938561	−	1.62563i	−0.768158	−	0.640260i	$-0.778826\pi$
$659$	−618.512	−	1071.29i	−0.938561	−	1.62563i	−0.170403	−	0.985375i	$-0.554507\pi$
$660$	−25.1103	−	14.4974i	−0.0380459	−	0.0219658i
$661$	−89.8083	+	24.0641i	−0.135867	+	0.0364055i	−0.326112	−	0.945331i	$-0.605739\pi$
$661$	−89.8083	+	24.0641i	−0.135867	+	0.0364055i	0.190244	+	0.981737i	$0.439072\pi$
$662$			585.205i			0.883996i
$663$	−354.825	−	204.858i	−0.535181	−	0.308987i
$664$	810.582			1.22076
$665$	48.7987	+	182.119i	0.0733815	+	0.273863i
$666$	−64.6840	+	112.036i	−0.0971231	+	0.168222i
$667$	−96.7250	+	55.8442i	−0.145015	+	0.0837245i
$668$	−34.6025	+	34.6025i	−0.0518002	+	0.0518002i
$669$	−861.908	−	230.947i	−1.28835	−	0.345213i
$670$	−238.251	+	889.163i	−0.355598	+	1.32711i
$671$	−446.210	−	446.210i	−0.664993	−	0.664993i
$672$	−51.2295	−	88.7321i	−0.0762343	−	0.132042i
$673$	242.210	+	139.840i	0.359895	+	0.207786i	0.669035	−	0.743231i	$-0.266708\pi$
$673$	242.210	+	139.840i	0.359895	+	0.207786i	−0.309140	+	0.951017i	$0.600041\pi$
$674$	−169.397	+	45.3897i	−0.251331	+	0.0673438i
$675$			377.779i			0.559673i
$676$	−39.2166	−	22.6417i	−0.0580127	−	0.0334936i
$677$	1115.38			1.64754			0.823770	−	0.566924i	$-0.191867\pi$
$677$	1115.38			1.64754			0.823770	+	0.566924i	$0.191867\pi$
$678$	125.701	+	469.121i	0.185399	+	0.691919i
$679$	339.335	−	587.745i	0.499756	−	0.865603i
$680$	508.600	−	293.640i	0.747941	−	0.431824i
$681$	469.440	−	469.440i	0.689339	−	0.689339i
$682$	−32.6410	−	8.74613i	−0.0478607	−	0.0128242i
$683$	220.046	−	821.221i	0.322175	−	1.20237i	−0.594946	−	0.803765i	$-0.702827\pi$
$683$	220.046	−	821.221i	0.322175	−	1.20237i	0.917121	−	0.398608i	$-0.130507\pi$
$684$	1.01408	+	1.01408i	0.00148258	+	0.00148258i
$685$	219.418	+	380.043i	0.320318	+	0.554807i
$686$	−311.023	−	179.569i	−0.453386	−	0.261763i
$687$	282.636	−	75.7321i	0.411406	−	0.110236i
$688$			771.962i			1.12204i
$689$	−511.975	+	886.767i	−0.743070	+	1.28703i
$690$	319.492			0.463032
$691$	−142.754	−	532.764i	−0.206590	−	0.771004i	−0.988959	−	0.148189i	$-0.952656\pi$
$691$	−142.754	−	532.764i	−0.206590	−	0.771004i	0.782369	−	0.622815i	$-0.214011\pi$
$692$	−37.8808	+	65.6115i	−0.0547410	+	0.0948143i
$693$	74.7668	−	43.1666i	0.107889	−	0.0622895i
$694$	143.679	−	143.679i	0.207031	−	0.207031i
$695$	689.267	+	184.688i	0.991750	+	0.265739i
$696$	66.4186	−	247.878i	0.0954290	−	0.356146i
$697$	160.149	+	160.149i	0.229769	+	0.229769i
$698$	−158.040	−	273.734i	−0.226419	−	0.392169i
$699$	720.673	+	416.081i	1.03101	+	0.595251i
$700$	−29.7654	+	7.97561i	−0.0425220	+	0.0113937i
$701$			650.323i			0.927707i	0.885912	+	0.463854i	$0.153534\pi$
$701$			650.323i			0.927707i	−0.885912	+	0.463854i	$0.846466\pi$
$702$	−698.267	−	187.100i	−0.994682	−	0.266524i
$703$	−151.937			−0.216127
$704$	112.389	+	419.440i	0.159643	+	0.595795i
$705$	3.82309	−	6.62178i	0.00542282	−	0.00939259i
$706$	498.829	−	287.999i	0.706557	−	0.407931i
$707$	210.637	−	210.637i	0.297931	−	0.297931i
$708$	29.9474	+	8.02439i	0.0422986	+	0.0113339i
$709$	135.185	−	504.518i	0.190670	−	0.711591i	−0.802675	−	0.596416i	$-0.796591\pi$
$709$	135.185	−	504.518i	0.190670	−	0.711591i	0.993345	−	0.115174i	$-0.0367426\pi$
$710$	−270.923	−	270.923i	−0.381582	−	0.381582i
$711$	−63.5448	−	110.063i	−0.0893739	−	0.154800i
$712$	235.298	+	135.849i	0.330475	+	0.190800i
$713$	−25.8231	+	6.91927i	−0.0362175	+	0.00970445i
$714$		−	533.520i		−	0.747227i
$715$	−257.450	−	445.917i	−0.360070	−	0.623659i
$716$	−80.1051			−0.111879
$717$	250.655	+	935.458i	0.349589	+	1.30468i
$718$	409.703	−	709.626i	0.570616	−	0.988336i
$719$	−74.3806	+	42.9437i	−0.103450	+	0.0597269i	−0.550832	−	0.834616i	$-0.685690\pi$
$719$	−74.3806	+	42.9437i	−0.103450	+	0.0597269i	0.447382	+	0.894343i	$0.352356\pi$
$720$	99.6237	−	99.6237i	0.138366	−	0.138366i
$721$	−1517.02	−	406.483i	−2.10405	−	0.563777i
$722$	−174.428	+	650.975i	−0.241590	+	0.901627i
$723$	86.9474	+	86.9474i	0.120259	+	0.120259i
$724$	40.0692	+	69.4019i	0.0553442	+	0.0958590i
$725$	−129.485	−	74.7583i	−0.178600	−	0.103115i
$726$	−407.088	+	109.079i	−0.560727	+	0.150246i
$727$		−	460.974i		−	0.634077i	−0.948413	−	0.317039i	$-0.897311\pi$
$727$		−	460.974i		−	0.634077i	0.948413	−	0.317039i	$-0.102689\pi$
$728$		−	939.233i		−	1.29016i
$729$	807.323			1.10744
$730$	210.770	+	786.604i	0.288726	+	1.07754i
$731$	299.711	−	519.115i	0.410002	−	0.710144i
$732$	62.3660	−	36.0070i	0.0851995	−	0.0491899i
$733$	631.319	−	631.319i	0.861281	−	0.861281i	−0.130206	−	0.991487i	$-0.541564\pi$
$733$	631.319	−	631.319i	0.861281	−	0.861281i	0.991487	+	0.130206i	$0.0415640\pi$
$734$	−228.681	−	61.2750i	−0.311555	−	0.0834809i
$735$	−121.308	+	452.729i	−0.165045	+	0.615958i
$736$	29.6692	+	29.6692i	0.0403114	+	0.0403114i
$737$	247.520	+	428.718i	0.335849	+	0.581707i
$738$	50.4493	+	29.1269i	0.0683595	+	0.0394674i
$739$	−794.424	+	212.865i	−1.07500	+	0.288045i	−0.752546	−	0.658540i	$-0.771174\pi$
$739$	−794.424	+	212.865i	−1.07500	+	0.288045i	−0.322453	+	0.946585i	$0.604508\pi$
$740$		−	72.1347i		−	0.0974793i
$741$	−32.0333	−	119.550i	−0.0432299	−	0.161336i
$742$	−1333.36			−1.79698
$743$	209.252	+	780.941i	0.281632	+	1.05106i	0.951266	+	0.308373i	$0.0997845\pi$
$743$	209.252	+	780.941i	0.281632	+	1.05106i	−0.669634	+	0.742692i	$0.733549\pi$
$744$	30.7128	−	53.1962i	0.0412807	−	0.0715002i
$745$	−1456.44	+	840.877i	−1.95495	+	1.12869i
$746$	−29.0648	+	29.0648i	−0.0389608	+	0.0389608i
$747$	−145.851	−	39.0807i	−0.195249	−	0.0523169i
$748$	5.13190	−	19.1525i	0.00686083	−	0.0256050i
$749$	503.962	+	503.962i	0.672846	+	0.672846i
$750$	−193.504	−	335.160i	−0.258006	−	0.446879i
$751$	−407.585	−	235.319i	−0.542723	−	0.313341i	0.203459	−	0.979083i	$-0.434782\pi$
$751$	−407.585	−	235.319i	−0.542723	−	0.313341i	−0.746182	+	0.665742i	$0.768115\pi$
$752$	−6.50446	+	1.74287i	−0.00864955	+	0.00231764i
$753$			367.128i			0.487554i
$754$	202.308	−	202.308i	0.268313	−	0.268313i
$755$	576.270			0.763272
$756$	17.4923	+	65.2820i	0.0231379	+	0.0863519i
$757$	−310.415	+	537.655i	−0.410060	+	0.710245i	−0.994896	−	0.100907i	$-0.967826\pi$
$757$	−310.415	+	537.655i	−0.410060	+	0.710245i	0.584836	+	0.811152i	$0.301159\pi$
$758$	563.293	−	325.217i	0.743130	−	0.429047i
$759$	121.492	−	121.492i	0.160069	−	0.160069i
$760$	171.361	+	45.9160i	0.225475	+	0.0604158i
$761$	−50.9559	+	190.170i	−0.0669591	+	0.249895i	−0.991290	−	0.131697i	$-0.957957\pi$
$761$	−50.9559	+	190.170i	−0.0669591	+	0.249895i	0.924331	+	0.381592i	$0.124624\pi$
$762$	274.368	+	274.368i	0.360063	+	0.360063i
$763$	0.119201	+	0.206462i	0.000156227	+	0.000270592i
$764$	54.7649	+	31.6185i	0.0716818	+	0.0413855i
$765$	−105.672	+	28.3147i	−0.138133	+	0.0370126i
$766$			366.123i			0.477967i
$767$	389.317	+	389.317i	0.507584	+	0.507584i
$768$	−139.909			−0.182173
$769$	112.701	+	420.604i	0.146555	+	0.546950i	0.999681	+	0.0252457i	$0.00803682\pi$
$769$	112.701	+	420.604i	0.146555	+	0.546950i	−0.853127	+	0.521704i	$0.825297\pi$
$770$	335.244	−	580.659i	0.435381	−	0.754102i
$771$	−773.790	+	446.748i	−1.00362	+	0.579440i
$772$	61.2877	−	61.2877i	0.0793882	−	0.0793882i
$773$	−8.31862	−	2.22897i	−0.0107615	−	0.00288353i	0.253434	−	0.967353i	$-0.418440\pi$
$773$	−8.31862	−	2.22897i	−0.0107615	−	0.00288353i	−0.264196	+	0.964469i	$0.585107\pi$
$774$	39.9038	−	148.923i	0.0515553	−	0.192407i
$775$	−25.3064	−	25.3064i	−0.0326535	−	0.0326535i
$776$	−319.289	−	553.025i	−0.411455	−	0.712661i
$777$	−903.955	−	521.899i	−1.16339	−	0.671684i
$778$	364.849	−	97.7609i	0.468957	−	0.125657i
$779$			68.4167i			0.0878263i
$780$	56.7583	−	15.2083i	0.0727671	−	0.0194979i
$781$	−206.046			−0.263823
$782$	56.5481	+	211.040i	0.0723121	+	0.269873i
$783$	−163.962	+	283.990i	−0.209402	+	0.362694i
$784$	357.477	−	206.390i	0.455966	−	0.263252i
$785$	−208.461	+	208.461i	−0.265555	+	0.265555i
$786$	249.708	+	66.9090i	0.317694	+	0.0851259i
$787$	−115.617	+	431.489i	−0.146909	+	0.548271i	0.852754	+	0.522312i	$0.174930\pi$
$787$	−115.617	+	431.489i	−0.146909	+	0.548271i	−0.999663	+	0.0259585i	$0.991736\pi$
$788$	−45.4693	−	45.4693i	−0.0577021	−	0.0577021i
$789$	−616.540	−	1067.88i	−0.781419	−	1.35346i
$790$	−854.778	−	493.506i	−1.08200	−	0.624692i
$791$	778.860	−	208.695i	0.984653	−	0.263837i
$792$		−	81.2332i		−	0.102567i
$793$	1278.85			1.61267
$794$	810.435			1.02070
$795$	−343.892	−	1283.42i	−0.432568	−	1.61437i
$796$	6.89161	−	11.9366i	0.00865781	−	0.0149958i
$797$	352.061	−	203.263i	0.441733	−	0.255035i	−0.262599	−	0.964905i	$-0.584580\pi$
$797$	352.061	−	203.263i	0.441733	−	0.255035i	0.704333	+	0.709870i	$0.251246\pi$
$798$	113.962	−	113.962i	0.142809	−	0.142809i
$799$	5.05067	+	1.35332i	0.00632124	+	0.00169377i
$800$	−14.5378	+	54.2558i	−0.0181722	+	0.0678197i
$801$	−35.7884	−	35.7884i	−0.0446796	−	0.0446796i
$802$	753.833	+	1305.68i	0.939942	+	1.62803i
$803$	379.268	+	218.970i	0.472314	+	0.272690i
$804$	−54.5692	+	14.6218i	−0.0678722	+	0.0181863i
$805$		−	530.438i		−	0.658930i
$806$	59.3083	−	34.2417i	0.0735835	−	0.0424835i
$807$	428.133			0.530525
$808$	−72.5441	−	270.738i	−0.0897823	−	0.335072i
$809$	−17.4634	+	30.2475i	−0.0215864	+	0.0373888i	−0.876617	−	0.481189i	$-0.840205\pi$
$809$	−17.4634	+	30.2475i	−0.0215864	+	0.0373888i	0.855030	+	0.518578i	$0.173538\pi$
$810$	669.577	−	386.581i	0.826639	−	0.477260i
$811$	755.708	−	755.708i	0.931822	−	0.931822i	−0.0659978	−	0.997820i	$-0.521023\pi$
$811$	755.708	−	755.708i	0.931822	−	0.931822i	0.997820	+	0.0659978i	$0.0210230\pi$
$812$	−25.8372	−	6.92305i	−0.0318192	−	0.00852592i
$813$	−180.914	+	675.181i	−0.222527	+	0.830481i
$814$	382.056	+	382.056i	0.469357	+	0.469357i
$815$	194.215	+	336.391i	0.238301	+	0.412750i
$816$	−405.494	−	234.112i	−0.496929	−	0.286902i
$817$	174.904	−	46.8653i	0.214081	−	0.0573627i
$818$		−	707.358i		−	0.864740i
$819$	−45.2834	+	169.000i	−0.0552911	+	0.206349i
$820$	−32.4820			−0.0396121
$821$	−254.210	−	948.724i	−0.309634	−	1.15557i	−0.928882	−	0.370375i	$-0.879229\pi$
$821$	−254.210	−	948.724i	−0.309634	−	1.15557i	0.619248	−	0.785196i	$-0.287438\pi$
$822$	187.557	−	324.858i	0.228172	−	0.395205i
$823$	−1146.14	+	661.726i	−1.39264	+	0.804041i	−0.993607	−	0.112896i	$-0.963987\pi$
$823$	−1146.14	+	661.726i	−1.39264	+	0.804041i	−0.399033	+	0.916937i	$0.630654\pi$
$824$	−1044.93	+	1044.93i	−1.26812	+	1.26812i
$825$	222.172	+	59.5307i	0.269299	+	0.0721585i
$826$	−185.559	+	692.515i	−0.224648	+	0.838396i
$827$	51.7691	+	51.7691i	0.0625987	+	0.0625987i	0.737713	−	0.675114i	$-0.235906\pi$
$827$	51.7691	+	51.7691i	0.0625987	+	0.0625987i	−0.675114	+	0.737713i	$0.735906\pi$
$828$	−2.01735	−	3.49415i	−0.00243641	−	0.00421999i
$829$	−21.9059	−	12.6474i	−0.0264245	−	0.0152562i	0.486730	−	0.873553i	$-0.338190\pi$
$829$	−21.9059	−	12.6474i	−0.0264245	−	0.0152562i	−0.513154	+	0.858297i	$0.671523\pi$
$830$	−1132.72	+	303.512i	−1.36472	+	0.365677i
$831$		−	182.627i		−	0.219768i
$832$	−762.117	−	440.008i	−0.916006	−	0.528856i
$833$	−320.520			−0.384778
$834$	−157.870	−	589.181i	−0.189293	−	0.706452i
$835$	563.822	−	976.568i	0.675236	−	1.16954i
$836$	5.18722	−	2.99485i	0.00620481	−	0.00358235i
$837$	−55.5026	+	55.5026i	−0.0663113	+	0.0663113i
$838$	−1027.35	−	275.279i	−1.22596	−	0.328495i
$839$	−232.757	+	868.661i	−0.277422	+	1.03535i	0.676779	+	0.736186i	$0.263375\pi$
$839$	−232.757	+	868.661i	−0.277422	+	1.03535i	−0.954201	+	0.299166i	$0.903291\pi$
$840$	861.797	+	861.797i	1.02595	+	1.02595i
$841$	355.608	+	615.931i	0.422839	+	0.732379i
$842$	552.747	+	319.129i	0.656470	+	0.379013i
$843$	−414.356	+	111.026i	−0.491525	+	0.131704i
$844$		−	55.5448i		−	0.0658114i
$845$	1007.93	+	270.075i	1.19282	+	0.319615i
$846$	1.34490			0.00158972
$847$	181.099	+	675.869i	0.213812	+	0.797956i
$848$	−585.085	+	1013.40i	−0.689959	+	1.19504i
$849$	112.550	−	64.9808i	0.132568	−	0.0765380i
$850$	−206.818	+	206.818i	−0.243315	+	0.243315i
$851$	412.886	+	110.633i	0.485178	+	0.130003i
$852$	6.08588	−	22.7128i	0.00714305	−	0.0266582i
$853$	−702.043	−	702.043i	−0.823028	−	0.823028i	0.163513	−	0.986541i	$-0.447717\pi$
$853$	−702.043	−	702.043i	−0.823028	−	0.823028i	−0.986541	+	0.163513i	$0.947717\pi$
$854$	832.640	+	1442.17i	0.974988	+	1.68873i
$855$	−28.6199	−	16.5237i	−0.0334736	−	0.0193260i
$856$	647.757	−	173.566i	0.756725	−	0.202764i
$857$		−	959.663i		−	1.11979i	−0.828563	−	0.559897i	$-0.810841\pi$
$857$		−	959.663i		−	1.11979i	0.828563	−	0.559897i	$-0.189159\pi$
$858$	−220.067	+	381.167i	−0.256488	+	0.444250i
$859$	−1526.98			−1.77763			−0.888813	−	0.458270i	$-0.848469\pi$
$859$	−1526.98			−1.77763			−0.888813	+	0.458270i	$0.848469\pi$
$860$	22.2501	+	83.0385i	0.0258722	+	0.0965564i
$861$	−235.009	+	407.047i	−0.272949	+	0.472761i
$862$	1217.20	−	702.750i	1.41206	−	0.815255i
$863$	−149.604	+	149.604i	−0.173353	+	0.173353i	−0.788451	−	0.615098i	$-0.789117\pi$
$863$	−149.604	+	149.604i	−0.173353	+	0.173353i	0.615098	+	0.788451i	$0.289117\pi$
$864$	118.995	+	31.8846i	0.137726	+	0.0369034i
$865$	451.850	−	1686.33i	0.522370	−	1.94951i
$866$	−908.724	−	908.724i	−1.04933	−	1.04933i
$867$	−212.995	−	368.918i	−0.245669	−	0.425511i
$868$	−5.54483	−	3.20131i	−0.00638805	−	0.00368814i
$869$	−512.708	+	137.380i	−0.589997	+	0.158089i
$870$			371.258i			0.426733i
$871$	−969.058	−	259.658i	−1.11258	−	0.298115i
$872$	0.224319			0.000257246
$873$	30.7879	+	114.902i	0.0352668	+	0.131617i
$874$	−33.0000	+	57.1577i	−0.0377574	+	0.0653978i
$875$	−556.450	+	321.267i	−0.635943	+	0.367162i
$876$	−35.3397	+	35.3397i	−0.0403422	+	0.0403422i
$877$	1180.45	+	316.301i	1.34601	+	0.360662i	0.858660	−	0.512545i	$-0.171297\pi$
$877$	1180.45	+	316.301i	1.34601	+	0.360662i	0.487349	+	0.873207i	$0.337964\pi$
$878$	135.067	−	504.076i	0.153834	−	0.574118i
$879$	16.7372	+	16.7372i	0.0190412	+	0.0190412i
$880$	−294.214	−	509.594i	−0.334334	−	0.579084i
$881$	321.323	+	185.516i	0.364725	+	0.210574i	0.671152	−	0.741320i	$-0.265800\pi$
$881$	321.323	+	185.516i	0.364725	+	0.210574i	−0.306426	+	0.951894i	$0.599133\pi$
$882$	−79.6314	+	21.3372i	−0.0902850	+	0.0241918i
$883$			1407.20i			1.59365i	0.604208	+	0.796827i	$0.293490\pi$
$883$			1407.20i			1.59365i	−0.604208	+	0.796827i	$0.706510\pi$
$884$	20.0917	+	34.7999i	0.0227282	+	0.0393664i
$885$	−714.438			−0.807275
$886$	−154.862	−	577.951i	−0.174787	−	0.652315i
$887$	258.623	−	447.948i	0.291571	−	0.505015i	−0.682611	−	0.730782i	$-0.739155\pi$
$887$	258.623	−	447.948i	0.291571	−	0.505015i	0.974181	+	0.225767i	$0.0724888\pi$
$888$	−850.556	+	491.069i	−0.957833	+	0.553005i
$889$	455.520	−	455.520i	0.512396	−	0.512396i
$890$	−379.676	−	101.734i	−0.426602	−	0.114308i
$891$	107.614	−	401.622i	0.120779	−	0.450754i
$892$	61.8822	+	61.8822i	0.0693746	+	0.0693746i
$893$	0.789764	+	1.36791i	0.000884395	+	0.00153182i
$894$	1244.96	+	718.776i	1.39257	+	0.804000i
$895$	1783.01	−	477.755i	1.99219	−	0.533805i
$896$		−	995.920i		−	1.11152i
$897$			348.200i			0.388183i
$898$	−853.888			−0.950878
$899$	−8.04036	−	30.0070i	−0.00894367	−	0.0333782i
$900$	2.70062	−	4.67761i	0.00300069	−	0.00519734i
$901$	786.896	−	454.315i	0.873359	−	0.504234i
$902$	172.038	−	172.038i	0.190730	−	0.190730i
$903$	1201.58	+	321.962i	1.33065	+	0.356547i
$904$	196.367	−	732.851i	0.217220	−	0.810675i
$905$	−1305.79	−	1305.79i	−1.44287	−	1.44287i
$906$	−246.296	−	426.597i	−0.271850	−	0.470858i
$907$	1299.20	+	750.093i	1.43241	+	0.827005i	0.997305	−	0.0733725i	$-0.0233762\pi$
$907$	1299.20	+	750.093i	1.43241	+	0.827005i	0.435110	+	0.900377i	$0.356710\pi$
$908$	−62.8930	+	16.8521i	−0.0692654	+	0.0185596i
$909$			52.2126i			0.0574396i
$910$	351.683	+	1312.50i	0.386465	+	1.44231i
$911$	663.346			0.728151			0.364076	−	0.931369i	$-0.381385\pi$
$911$	663.346			0.728151			0.364076	+	0.931369i	$0.381385\pi$
$912$	−36.6077	−	136.622i	−0.0401400	−	0.149805i
$913$	−315.321	+	546.151i	−0.345367	+	0.598194i
$914$	−301.861	+	174.279i	−0.330264	+	0.190678i
$915$	−1173.41	+	1173.41i	−1.28242	+	1.28242i
$916$	−27.7199	−	7.42751i	−0.0302618	−	0.00810864i
$917$	111.086	−	414.578i	0.121141	−	0.452103i
$918$	453.597	+	453.597i	0.494115	+	0.494115i
$919$	−51.1596	−	88.6110i	−0.0556687	−	0.0964211i	0.836848	−	0.547435i	$-0.184396\pi$
$919$	−51.1596	−	88.6110i	−0.0556687	−	0.0964211i	−0.892517	+	0.451014i	$0.851062\pi$
$920$	−432.237	−	249.552i	−0.469822	−	0.271252i
$921$	851.726	−	228.219i	0.924783	−	0.247795i
$922$			402.794i			0.436869i
$923$	295.267	−	295.267i	0.319899	−	0.319899i
$924$	41.1487			0.0445333
$925$	148.103	+	552.729i	0.160112	+	0.597545i
$926$	−432.769	+	749.578i	−0.467353	+	0.809480i
$927$	238.398	−	137.639i	0.257171	−	0.148478i
$928$	−34.4763	+	34.4763i	−0.0371512	+	0.0371512i
$929$	−31.5737	−	8.46014i	−0.0339867	−	0.00910672i	0.241786	−	0.970330i	$-0.422267\pi$
$929$	−31.5737	−	8.46014i	−0.0339867	−	0.00910672i	−0.275772	+	0.961223i	$0.588934\pi$
$930$	−23.0000	+	85.8372i	−0.0247312	+	0.0922980i
$931$	−68.4641	−	68.4641i	−0.0735382	−	0.0735382i
$932$	−40.8076	−	70.6809i	−0.0437850	−	0.0758378i
$933$	−183.315	−	105.837i	−0.196479	−	0.113437i
$934$	666.946	−	178.708i	0.714075	−	0.191336i
$935$			456.910i			0.488674i
$936$	116.408	+	116.408i	0.124368	+	0.124368i
$937$	−196.615			−0.209835			−0.104917	−	0.994481i	$-0.533458\pi$
$937$	−196.615			−0.209835			−0.104917	+	0.994481i	$0.533458\pi$
$938$	−338.119	−	1261.88i	−0.360468	−	1.34529i
$939$	226.329	−	392.014i	0.241032	−	0.417480i
$940$	−0.649439	+	0.374954i	−0.000690892	+	0.000398887i
$941$	269.659	−	269.659i	0.286566	−	0.286566i	−0.549155	−	0.835721i	$-0.685050\pi$
$941$	269.659	−	269.659i	0.286566	−	0.286566i	0.835721	+	0.549155i	$0.185050\pi$
$942$	243.413	+	65.2224i	0.258401	+	0.0692383i
$943$	49.8174	−	185.921i	0.0528287	−	0.197159i
$944$	444.911	+	444.911i	0.471304	+	0.471304i
$945$	−778.697	−	1348.74i	−0.824018	−	1.42724i
$946$	−557.654	−	321.962i	−0.589486	−	0.340340i
$947$	−1237.89	+	331.692i	−1.30717	+	0.350255i	−0.844157	−	0.536096i	$-0.819898\pi$
$947$	−1237.89	+	331.692i	−1.30717	+	0.350255i	−0.463013	+	0.886351i	$0.653232\pi$
$948$		−	60.5744i		−	0.0638970i
$949$	−857.283	+	229.708i	−0.903354	+	0.242053i
$950$	−88.3538			−0.0930040
$951$	97.0544	+	362.212i	0.102055	+	0.380875i
$952$	−416.727	+	721.792i	−0.437738	+	0.758185i
$953$	1142.09	−	659.387i	1.19842	−	0.691907i	0.238215	−	0.971212i	$-0.423438\pi$
$953$	1142.09	−	659.387i	1.19842	−	0.691907i	0.960202	+	0.279306i	$0.0901042\pi$
$954$	165.256	−	165.256i	0.173224	−	0.173224i
$955$	−1407.55	−	377.152i	−1.47387	−	0.394924i
$956$	24.5833	−	91.7461i	0.0257148	−	0.0959688i
$957$	141.177	+	141.177i	0.147520	+	0.147520i
$958$	−417.217	−	722.642i	−0.435509	−	0.754323i
$959$	−539.347	−	311.392i	−0.562406	−	0.324705i
$960$	1103.01	−	295.552i	1.14897	−	0.307867i
$961$			953.564i			0.992262i
$962$	−1094.98			−1.13824
$963$	−124.922			−0.129721
$964$	−3.12127	−	11.6487i	−0.00323783	−	0.0120838i
$965$	−998.636	+	1729.69i	−1.03486	+	1.79242i
$966$	−392.669	+	226.708i	−0.406490	+	0.234687i
$967$	−879.683	+	879.683i	−0.909703	+	0.909703i	−0.996248	−	0.0865445i	$-0.972418\pi$
$967$	−879.683	+	879.683i	−0.909703	+	0.909703i	0.0865445	+	0.996248i	$0.472418\pi$
$968$	635.943	+	170.401i	0.656966	+	0.176034i
$969$	−28.4256	+	106.086i	−0.0293350	+	0.109480i
$970$	653.252	+	653.252i	0.673456	+	0.673456i
$971$	23.1366	+	40.0737i	0.0238276	+	0.0412705i	0.877693	−	0.479223i	$-0.159081\pi$
$971$	23.1366	+	40.0737i	0.0238276	+	0.0412705i	−0.853866	+	0.520493i	$0.825748\pi$
$972$	−19.0225	−	10.9826i	−0.0195705	−	0.0112990i
$973$	−978.190	+	262.105i	−1.00533	+	0.269378i
$974$		−	573.874i		−	0.589193i
$975$	−403.683	+	233.067i	−0.414034	+	0.239043i
$976$	1461.47			1.49741
$977$	−411.992	−	1537.57i	−0.421691	−	1.57377i	−0.771045	−	0.636780i	$-0.780266\pi$
$977$	−411.992	−	1537.57i	−0.421691	−	1.57377i	0.349355	−	0.936991i	$-0.386401\pi$
$978$	166.014	−	287.545i	0.169749	−	0.294013i
$979$	−183.064	+	105.692i	−0.186991	+	0.107959i
$980$	32.5045	−	32.5045i	0.0331678	−	0.0331678i
$981$	−0.0403626	−	0.0108151i	−4.11443e−5	−	1.10246e-5i
$982$	395.669	−	1476.66i	0.402922	−	1.50372i
$983$	632.213	+	632.213i	0.643146	+	0.643146i	0.951328	−	0.308181i	$-0.0997204\pi$
$983$	632.213	+	632.213i	0.643146	+	0.643146i	−0.308181	+	0.951328i	$0.599720\pi$
$984$	221.126	+	383.002i	0.224722	+	0.389230i
$985$	1283.25	+	740.886i	1.30279	+	0.752169i
$986$	−245.234	+	65.7102i	−0.248716	+	0.0666432i
$987$			10.8513i			0.0109942i
$988$	−3.14171	+	11.7250i	−0.00317987	+	0.0118674i
$989$	−509.423			−0.515089
$990$	30.4167	+	113.517i	0.0307239	+	0.114663i
$991$	−600.733	+	1040.50i	−0.606188	+	1.04995i	0.385674	+	0.922635i	$0.373969\pi$
$991$	−600.733	+	1040.50i	−0.606188	+	1.04995i	−0.991862	+	0.127314i	$0.959364\pi$
$992$	−10.1070	+	5.83528i	−0.0101885	+	0.00588234i
$993$	585.205	−	585.205i	0.589330	−	0.589330i
$994$	525.219	+	140.732i	0.528390	+	0.141582i
$995$	−82.2046	+	306.792i	−0.0826177	+	0.308333i
$996$	−50.8897	−	50.8897i	−0.0510941	−	0.0510941i
$997$	242.817	+	420.572i	0.243548	+	0.421837i	0.961722	−	0.274026i	$-0.0883554\pi$
$997$	242.817	+	420.572i	0.243548	+	0.421837i	−0.718174	+	0.695863i	$0.755022\pi$
$998$	727.795	+	420.193i	0.729254	+	0.421035i
$999$	1212.26	−	324.823i	1.21347	−	0.325148i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	13.3.f.a.6.1	✓	4
3.2	odd	2		117.3.bd.b.19.1		4
4.3	odd	2		208.3.bd.d.97.1		4
5.2	odd	4		325.3.w.b.149.1		4
5.3	odd	4		325.3.w.a.149.1		4
5.4	even	2		325.3.t.a.201.1		4
13.2	odd	12		169.3.f.b.89.1		4
13.3	even	3		169.3.f.c.80.1		4
13.4	even	6		169.3.d.c.70.2		4
13.5	odd	4		169.3.f.a.150.1		4
13.6	odd	12		169.3.d.c.99.2		4
13.7	odd	12		169.3.d.a.99.1		4
13.8	odd	4		169.3.f.c.150.1		4
13.9	even	3		169.3.d.a.70.1		4
13.10	even	6		169.3.f.a.80.1		4
13.11	odd	12	inner	13.3.f.a.11.1	yes	4
13.12	even	2		169.3.f.b.19.1		4
39.11	even	12		117.3.bd.b.37.1		4
52.11	even	12		208.3.bd.d.193.1		4
65.24	odd	12		325.3.t.a.76.1		4
65.37	even	12		325.3.w.a.24.1		4
65.63	even	12		325.3.w.b.24.1		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
13.3.f.a.6.1	✓	4	1.1	even	1	trivial
13.3.f.a.11.1	yes	4	13.11	odd	12	inner
117.3.bd.b.19.1		4	3.2	odd	2
117.3.bd.b.37.1		4	39.11	even	12
169.3.d.a.70.1		4	13.9	even	3
169.3.d.a.99.1		4	13.7	odd	12
169.3.d.c.70.2		4	13.4	even	6
169.3.d.c.99.2		4	13.6	odd	12
169.3.f.a.80.1		4	13.10	even	6
169.3.f.a.150.1		4	13.5	odd	4
169.3.f.b.19.1		4	13.12	even	2
169.3.f.b.89.1		4	13.2	odd	12
169.3.f.c.80.1		4	13.3	even	3
169.3.f.c.150.1		4	13.8	odd	4
208.3.bd.d.97.1		4	4.3	odd	2
208.3.bd.d.193.1		4	52.11	even	12
325.3.t.a.76.1		4	65.24	odd	12
325.3.t.a.201.1		4	5.4	even	2
325.3.w.a.24.1		4	65.37	even	12
325.3.w.a.149.1		4	5.3	odd	4
325.3.w.b.24.1		4	65.63	even	12
325.3.w.b.149.1		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)

\(f(q)\)	\(=\)	\(q+(-0.500000 - 1.86603i) q^{2} +(-1.36603 + 2.36603i) q^{3} +(0.232051 - 0.133975i) q^{4} +(-4.36603 + 4.36603i) q^{5} +(5.09808 + 1.36603i) q^{6} +(2.26795 - 8.46410i) q^{7} +(-5.83013 - 5.83013i) q^{8} +(0.767949 + 1.33013i) q^{9} +O(q^{10})\)	\(q+(-0.500000 - 1.86603i) q^{2} +(-1.36603 + 2.36603i) q^{3} +(0.232051 - 0.133975i) q^{4} +(-4.36603 + 4.36603i) q^{5} +(5.09808 + 1.36603i) q^{6} +(2.26795 - 8.46410i) q^{7} +(-5.83013 - 5.83013i) q^{8} +(0.767949 + 1.33013i) q^{9} +(10.3301 + 5.96410i) q^{10} +(6.19615 - 1.66025i) q^{11} +0.732051i q^{12} +(-6.50000 + 11.2583i) q^{13} -16.9282 q^{14} +(-4.36603 - 16.2942i) q^{15} +(-7.42820 + 12.8660i) q^{16} +(9.99038 - 5.76795i) q^{17} +(2.09808 - 2.09808i) q^{18} +(3.36603 + 0.901924i) q^{19} +(-0.428203 + 1.59808i) q^{20} +(16.9282 + 16.9282i) q^{21} +(-6.19615 - 10.7321i) q^{22} +(-8.49038 - 4.90192i) q^{23} +(21.7583 - 5.83013i) q^{24} -13.1244i q^{25} +(24.2583 + 6.50000i) q^{26} -28.7846 q^{27} +(-0.607695 - 2.26795i) q^{28} +(5.69615 - 9.86603i) q^{29} +(-28.2224 + 16.2942i) q^{30} +(1.92820 - 1.92820i) q^{31} +(-4.13397 - 1.10770i) q^{32} +(-4.53590 + 16.9282i) q^{33} +(-15.7583 - 15.7583i) q^{34} +(27.0526 + 46.8564i) q^{35} +(0.356406 + 0.205771i) q^{36} +(-42.1147 + 11.2846i) q^{37} -6.73205i q^{38} +(-17.7583 - 30.7583i) q^{39} +50.9090 q^{40} +(5.08142 + 18.9641i) q^{41} +(23.1244 - 40.0526i) q^{42} +(45.0000 - 25.9808i) q^{43} +(1.21539 - 1.21539i) q^{44} +(-9.16025 - 2.45448i) q^{45} +(-4.90192 + 18.2942i) q^{46} +(0.320508 + 0.320508i) q^{47} +(-20.2942 - 35.1506i) q^{48} +(-24.0622 - 13.8923i) q^{49} +(-24.4904 + 6.56218i) q^{50} +31.5167i q^{51} +3.48334i q^{52} +78.7654 q^{53} +(14.3923 + 53.7128i) q^{54} +(-19.8038 + 34.3013i) q^{55} +(-62.5692 + 36.1244i) q^{56} +(-6.73205 + 6.73205i) q^{57} +(-21.2583 - 5.69615i) q^{58} +(10.9615 - 40.9090i) q^{59} +(-3.19615 - 3.19615i) q^{60} +(-49.1865 - 85.1936i) q^{61} +(-4.56218 - 2.63397i) q^{62} +(13.0000 - 3.48334i) q^{63} +67.6936i q^{64} +(-20.7750 - 77.5333i) q^{65} +33.8564 q^{66} +(19.9737 + 74.5429i) q^{67} +(1.54552 - 2.67691i) q^{68} +(23.1962 - 13.3923i) q^{69} +(73.9090 - 73.9090i) q^{70} +(-31.0263 - 8.31347i) q^{71} +(3.27757 - 12.2321i) q^{72} +(48.2750 + 48.2750i) q^{73} +(42.1147 + 72.9449i) q^{74} +(31.0526 + 17.9282i) q^{75} +(0.901924 - 0.241670i) q^{76} -56.2102i q^{77} +(-48.5167 + 48.5167i) q^{78} -82.7461 q^{79} +(-23.7417 - 88.6051i) q^{80} +(32.4090 - 56.1340i) q^{81} +(32.8468 - 18.9641i) q^{82} +(-69.5167 + 69.5167i) q^{83} +(6.19615 + 1.66025i) q^{84} +(-18.4352 + 68.8013i) q^{85} +(-70.9808 - 70.9808i) q^{86} +(15.5622 + 26.9545i) q^{87} +(-45.8038 - 26.4449i) q^{88} +(-31.8301 + 8.52886i) q^{89} +18.3205i q^{90} +(80.5500 + 80.5500i) q^{91} -2.62693 q^{92} +(1.92820 + 7.19615i) q^{93} +(0.437822 - 0.758330i) q^{94} +(-18.6340 + 10.7583i) q^{95} +(8.26795 - 8.26795i) q^{96} +(74.8109 + 20.0455i) q^{97} +(-13.8923 + 51.8468i) q^{98} +(6.96668 + 6.96668i) 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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