LMFDB - Embedded newform 75.3.k.a.67.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [75,3,Mod(13,75)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(75, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 19]))

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

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

chi := DirichletCharacter("75.13");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 75 = 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	75.k (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.04360198270$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			67.10
Character	$\chi$	$=$	75.67
Dual form			75.3.k.a.28.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.73350 - 3.40219i) q^{2} +(0.270952 - 1.71073i) q^{3} +(-6.21871 - 8.55932i) q^{4} +(2.10687 + 4.53443i) q^{5} +(-5.35052 - 3.88738i) q^{6} +(7.30480 + 7.30480i) q^{7} +(-24.8151 + 3.93033i) q^{8} +(-2.85317 - 0.927051i) q^{9} +O(q^{10})$	\(q+(1.73350 - 3.40219i) q^{2} +(0.270952 - 1.71073i) q^{3} +(-6.21871 - 8.55932i) q^{4} +(2.10687 + 4.53443i) q^{5} +(-5.35052 - 3.88738i) q^{6} +(7.30480 + 7.30480i) q^{7} +(-24.8151 + 3.93033i) q^{8} +(-2.85317 - 0.927051i) q^{9} +(19.0793 + 0.692468i) q^{10} +(-0.999905 - 3.07739i) q^{11} +(-16.3276 + 8.31934i) q^{12} +(-0.777742 - 1.52640i) q^{13} +(37.5152 - 12.1894i) q^{14} +(8.32804 - 2.37567i) q^{15} +(-16.5679 + 50.9907i) q^{16} +(-1.46946 - 9.27780i) q^{17} +(-8.09997 + 8.09997i) q^{18} +(-3.84366 + 5.29035i) q^{19} +(25.7096 - 46.2317i) q^{20} +(14.4758 - 10.5173i) q^{21} +(-12.2032 - 1.93280i) q^{22} +(-17.2472 - 8.78787i) q^{23} +43.5169i q^{24} +(-16.1222 + 19.1070i) q^{25} -6.54133 q^{26} +(-2.35900 + 4.62981i) q^{27} +(17.0977 - 107.951i) q^{28} +(6.06822 + 8.35219i) q^{29} +(6.35420 - 32.4518i) q^{30} +(48.3606 + 35.1360i) q^{31} +(73.6966 + 73.6966i) q^{32} +(-5.53550 + 0.876737i) q^{33} +(-34.1121 - 11.0837i) q^{34} +(-17.7328 + 48.5134i) q^{35} +(9.80811 + 30.1863i) q^{36} +(13.6936 - 6.97723i) q^{37} +(11.3358 + 22.2477i) q^{38} +(-2.82199 + 0.916921i) q^{39} +(-70.1042 - 104.242i) q^{40} +(16.1974 - 49.8505i) q^{41} +(-10.6879 - 67.4810i) q^{42} +(-46.8956 + 46.8956i) q^{43} +(-20.1223 + 27.6959i) q^{44} +(-1.80761 - 14.8907i) q^{45} +(-59.7960 + 43.4443i) q^{46} +(-55.9812 - 8.86655i) q^{47} +(82.7420 + 42.1591i) q^{48} +57.7202i q^{49} +(37.0576 + 87.9726i) q^{50} -16.2699 q^{51} +(-8.22843 + 16.1492i) q^{52} +(1.09150 - 6.89148i) q^{53} +(11.6621 + 16.0515i) q^{54} +(11.8476 - 11.0177i) q^{55} +(-209.980 - 152.559i) q^{56} +(8.00889 + 8.00889i) q^{57} +(38.9350 - 6.16670i) q^{58} +(-40.4470 - 13.1420i) q^{59} +(-72.1238 - 56.5088i) q^{60} +(-24.6290 - 75.8002i) q^{61} +(203.373 - 103.623i) q^{62} +(-14.0699 - 27.6138i) q^{63} +(174.520 - 56.7051i) q^{64} +(5.28278 - 6.74256i) q^{65} +(-6.61297 + 20.3526i) q^{66} +(-1.30971 - 8.26917i) q^{67} +(-70.2736 + 70.2736i) q^{68} +(-19.7068 + 27.1241i) q^{69} +(134.312 + 144.429i) q^{70} +(36.2118 - 26.3094i) q^{71} +(74.4454 + 11.7910i) q^{72} +(11.4699 + 5.84422i) q^{73} -58.6832i q^{74} +(28.3184 + 32.7577i) q^{75} +69.1845 q^{76} +(15.1756 - 29.7838i) q^{77} +(-1.77239 + 11.1904i) q^{78} +(31.0028 + 42.6717i) q^{79} +(-266.120 + 32.3049i) q^{80} +(7.28115 + 5.29007i) q^{81} +(-141.523 - 141.523i) q^{82} +(-109.697 + 17.3742i) q^{83} +(-180.041 - 58.4989i) q^{84} +(38.9736 - 26.2103i) q^{85} +(78.2540 + 240.841i) q^{86} +(15.9325 - 8.11802i) q^{87} +(36.9080 + 72.4359i) q^{88} +(-2.41881 + 0.785920i) q^{89} +(-53.7944 - 19.6632i) q^{90} +(5.46883 - 16.8313i) q^{91} +(32.0369 + 202.273i) q^{92} +(73.2116 - 73.2116i) q^{93} +(-127.209 + 175.088i) q^{94} +(-32.0869 - 6.28274i) q^{95} +(146.043 - 106.106i) q^{96} +(17.4484 + 2.76356i) q^{97} +(196.375 + 100.058i) q^{98} +9.70728i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8}+O(q^{10}) $ 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8	$ 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8} - 4 q^{10} - 24 q^{12} + 32 q^{13} - 24 q^{15} + 80 q^{16} - 100 q^{17} - 48 q^{18} - 100 q^{19} - 244 q^{20} - 100 q^{22} - 96 q^{23} - 16 q^{25} - 40 q^{26} + 196 q^{28} + 200 q^{29} + 264 q^{30} + 636 q^{32} + 216 q^{33} + 100 q^{34} + 260 q^{35} - 120 q^{36} - 184 q^{37} - 564 q^{38} - 948 q^{40} + 160 q^{41} - 12 q^{42} - 472 q^{43} - 700 q^{44} - 36 q^{45} - 288 q^{47} - 48 q^{48} + 16 q^{50} + 620 q^{52} + 304 q^{53} + 604 q^{55} + 72 q^{57} + 1272 q^{58} + 800 q^{59} + 84 q^{60} - 240 q^{61} + 1212 q^{62} - 12 q^{63} + 100 q^{64} + 272 q^{65} - 80 q^{67} + 104 q^{68} - 260 q^{70} + 36 q^{72} - 116 q^{73} - 24 q^{75} - 88 q^{77} - 120 q^{78} + 200 q^{79} - 164 q^{80} + 180 q^{81} - 168 q^{82} - 1264 q^{83} - 1200 q^{84} - 212 q^{85} - 876 q^{87} - 212 q^{88} - 1500 q^{89} - 444 q^{90} - 1504 q^{92} - 648 q^{93} - 200 q^{94} - 784 q^{95} + 60 q^{96} - 260 q^{97} - 92 q^{98}+O(q^{100}) $ 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8 - 4 * q^10 - 24 * q^12 + 32 * q^13 - 24 * q^15 + 80 * q^16 - 100 * q^17 - 48 * q^18 - 100 * q^19 - 244 * q^20 - 100 * q^22 - 96 * q^23 - 16 * q^25 - 40 * q^26 + 196 * q^28 + 200 * q^29 + 264 * q^30 + 636 * q^32 + 216 * q^33 + 100 * q^34 + 260 * q^35 - 120 * q^36 - 184 * q^37 - 564 * q^38 - 948 * q^40 + 160 * q^41 - 12 * q^42 - 472 * q^43 - 700 * q^44 - 36 * q^45 - 288 * q^47 - 48 * q^48 + 16 * q^50 + 620 * q^52 + 304 * q^53 + 604 * q^55 + 72 * q^57 + 1272 * q^58 + 800 * q^59 + 84 * q^60 - 240 * q^61 + 1212 * q^62 - 12 * q^63 + 100 * q^64 + 272 * q^65 - 80 * q^67 + 104 * q^68 - 260 * q^70 + 36 * q^72 - 116 * q^73 - 24 * q^75 - 88 * q^77 - 120 * q^78 + 200 * q^79 - 164 * q^80 + 180 * q^81 - 168 * q^82 - 1264 * q^83 - 1200 * q^84 - 212 * q^85 - 876 * q^87 - 212 * q^88 - 1500 * q^89 - 444 * q^90 - 1504 * q^92 - 648 * q^93 - 200 * q^94 - 784 * q^95 + 60 * q^96 - 260 * q^97 - 92 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/75\mathbb{Z}\right)^\times$.

$n$	$26$	$52$
$\chi(n)$	$1$	$e\left(\frac{13}{20}\right)$

Coefficient data

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

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

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

$2$	1.73350	−	3.40219i	0.866750	−	1.70109i	0.167927	−	0.985799i	$-0.446293\pi$
$2$	1.73350	−	3.40219i	0.866750	−	1.70109i	0.698823	−	0.715294i	$-0.253707\pi$
$3$	0.270952	−	1.71073i	0.0903175	−	0.570242i
$3$	0.270952	−	1.71073i	0.0903175	−	0.570242i
$4$	−6.21871	−	8.55932i	−1.55468	−	2.13983i
$5$	2.10687	+	4.53443i	0.421375	+	0.906887i
$5$	2.10687	+	4.53443i	0.421375	+	0.906887i
$6$	−5.35052	−	3.88738i	−0.891753	−	0.647896i
$7$	7.30480	+	7.30480i	1.04354	+	1.04354i	0.999008	+	0.0445351i	$0.0141807\pi$
$7$	7.30480	+	7.30480i	1.04354	+	1.04354i	0.0445351	+	0.999008i	$0.485819\pi$
$8$	−24.8151	+	3.93033i	−3.10189	+	0.491292i
$9$	−2.85317	−	0.927051i	−0.317019	−	0.103006i
$10$	19.0793	+	0.692468i	1.90793	+	0.0692468i
$11$	−0.999905	−	3.07739i	−0.0909004	−	0.279763i	0.895263	−	0.445538i	$-0.146987\pi$
$11$	−0.999905	−	3.07739i	−0.0909004	−	0.279763i	−0.986164	+	0.165775i	$0.946987\pi$
$12$	−16.3276	+	8.31934i	−1.36064	+	0.693279i
$13$	−0.777742	−	1.52640i	−0.0598263	−	0.117416i	0.859157	−	0.511712i	$-0.170988\pi$
$13$	−0.777742	−	1.52640i	−0.0598263	−	0.117416i	−0.918983	+	0.394296i	$0.870988\pi$
$14$	37.5152	−	12.1894i	2.67966	−	0.870673i
$15$	8.32804	−	2.37567i	0.555202	−	0.158378i
$16$	−16.5679	+	50.9907i	−1.03549	+	3.18692i
$17$	−1.46946	−	9.27780i	−0.0864388	−	0.545753i	−0.992465	−	0.122531i	$-0.960899\pi$
$17$	−1.46946	−	9.27780i	−0.0864388	−	0.545753i	0.906026	−	0.423222i	$-0.139101\pi$
$18$	−8.09997	+	8.09997i	−0.449999	+	0.449999i
$19$	−3.84366	+	5.29035i	−0.202298	+	0.278439i	−0.898097	−	0.439797i	$-0.855050\pi$
$19$	−3.84366	+	5.29035i	−0.202298	+	0.278439i	0.695799	+	0.718236i	$0.255050\pi$
$20$	25.7096	−	46.2317i	1.28548	−	2.31159i
$21$	14.4758	−	10.5173i	0.689322	−	0.500822i
$22$	−12.2032	−	1.93280i	−0.554691	−	0.0878544i
$23$	−17.2472	−	8.78787i	−0.749877	−	0.382081i	0.0369000	−	0.999319i	$-0.488252\pi$
$23$	−17.2472	−	8.78787i	−0.749877	−	0.382081i	−0.786777	+	0.617238i	$0.788252\pi$
$24$			43.5169i			1.81320i
$25$	−16.1222	+	19.1070i	−0.644887	+	0.764278i
$26$	−6.54133			−0.251590
$27$	−2.35900	+	4.62981i	−0.0873705	+	0.171474i
$28$	17.0977	−	107.951i	0.610632	−	3.85538i
$29$	6.06822	+	8.35219i	0.209249	+	0.288007i	0.900722	−	0.434396i	$-0.143038\pi$
$29$	6.06822	+	8.35219i	0.209249	+	0.288007i	−0.691473	+	0.722402i	$0.743038\pi$
$30$	6.35420	−	32.4518i	0.211807	−	1.08173i
$31$	48.3606	+	35.1360i	1.56002	+	1.13342i	0.935994	+	0.352017i	$0.114504\pi$
$31$	48.3606	+	35.1360i	1.56002	+	1.13342i	0.624026	+	0.781404i	$0.285496\pi$
$32$	73.6966	+	73.6966i	2.30302	+	2.30302i
$33$	−5.53550	+	0.876737i	−0.167742	+	0.0265678i
$34$	−34.1121	−	11.0837i	−1.00330	−	0.325991i
$35$	−17.7328	+	48.5134i	−0.506653	+	1.38610i
$36$	9.80811	+	30.1863i	0.272448	+	0.838507i
$37$	13.6936	−	6.97723i	0.370097	−	0.188574i	−0.259043	−	0.965866i	$-0.583407\pi$
$37$	13.6936	−	6.97723i	0.370097	−	0.188574i	0.629140	+	0.777292i	$0.283407\pi$
$38$	11.3358	+	22.2477i	0.298310	+	0.585466i
$39$	−2.82199	+	0.916921i	−0.0723587	+	0.0235108i
$40$	−70.1042	−	104.242i	−1.75260	−	2.60605i
$41$	16.1974	−	49.8505i	0.395059	−	1.21587i	−0.533857	−	0.845575i	$-0.679258\pi$
$41$	16.1974	−	49.8505i	0.395059	−	1.21587i	0.928916	−	0.370292i	$-0.120742\pi$
$42$	−10.6879	−	67.4810i	−0.254475	−	1.60669i
$43$	−46.8956	+	46.8956i	−1.09060	+	1.09060i	−0.0951303	+	0.995465i	$0.530327\pi$
$43$	−46.8956	+	46.8956i	−1.09060	+	1.09060i	−0.995465	+	0.0951303i	$0.969673\pi$
$44$	−20.1223	+	27.6959i	−0.457324	+	0.629453i
$45$	−1.80761	−	14.8907i	−0.0401692	−	0.330904i
$46$	−59.7960	+	43.4443i	−1.29991	+	0.944441i
$47$	−55.9812	−	8.86655i	−1.19109	−	0.188650i	−0.470747	−	0.882268i	$-0.656015\pi$
$47$	−55.9812	−	8.86655i	−1.19109	−	0.188650i	−0.720343	+	0.693618i	$0.756015\pi$
$48$	82.7420	+	42.1591i	1.72379	+	0.878315i
$49$			57.7202i			1.17796i
$50$	37.0576	+	87.9726i	0.741152	+	1.75945i
$51$	−16.2699			−0.319018
$52$	−8.22843	+	16.1492i	−0.158239	+	0.310562i
$53$	1.09150	−	6.89148i	0.0205944	−	0.130028i	−0.975249	−	0.221109i	$-0.929032\pi$
$53$	1.09150	−	6.89148i	0.0205944	−	0.130028i	0.995843	+	0.0910813i	$0.0290323\pi$
$54$	11.6621	+	16.0515i	0.215965	+	0.297251i
$55$	11.8476	−	11.0177i	0.215410	−	0.200321i
$56$	−209.980	−	152.559i	−3.74964	−	2.72427i
$57$	8.00889	+	8.00889i	0.140507	+	0.140507i
$58$	38.9350	−	6.16670i	0.671293	−	0.106322i
$59$	−40.4470	−	13.1420i	−0.685543	−	0.222746i	−0.0545224	−	0.998513i	$-0.517364\pi$
$59$	−40.4470	−	13.1420i	−0.685543	−	0.222746i	−0.631020	+	0.775766i	$0.717364\pi$
$60$	−72.1238	−	56.5088i	−1.20206	−	0.941813i
$61$	−24.6290	−	75.8002i	−0.403754	−	1.24263i	−0.921932	−	0.387353i	$-0.873390\pi$
$61$	−24.6290	−	75.8002i	−0.403754	−	1.24263i	0.518178	−	0.855273i	$-0.326610\pi$
$62$	203.373	−	103.623i	3.28020	−	1.67135i
$63$	−14.0699	−	27.6138i	−0.223332	−	0.438314i
$64$	174.520	−	56.7051i	2.72688	−	0.886017i
$65$	5.28278	−	6.74256i	0.0812735	−	0.103732i
$66$	−6.61297	+	20.3526i	−0.100197	+	0.308373i
$67$	−1.30971	−	8.26917i	−0.0195479	−	0.123420i	0.975985	−	0.217839i	$-0.0699008\pi$
$67$	−1.30971	−	8.26917i	−0.0195479	−	0.123420i	−0.995533	+	0.0944186i	$0.969901\pi$
$68$	−70.2736	+	70.2736i	−1.03343	+	1.03343i
$69$	−19.7068	+	27.1241i	−0.285606	+	0.393103i
$70$	134.312	+	144.429i	1.91874	+	2.06326i
$71$	36.2118	−	26.3094i	0.510026	−	0.370556i	−0.302807	−	0.953052i	$-0.597924\pi$
$71$	36.2118	−	26.3094i	0.510026	−	0.370556i	0.812833	+	0.582496i	$0.197924\pi$
$72$	74.4454	+	11.7910i	1.03396	+	0.163764i
$73$	11.4699	+	5.84422i	0.157122	+	0.0800578i	0.530783	−	0.847507i	$-0.321898\pi$
$73$	11.4699	+	5.84422i	0.157122	+	0.0800578i	−0.373661	+	0.927565i	$0.621898\pi$
$74$		−	58.6832i		−	0.793016i
$75$	28.3184	+	32.7577i	0.377579	+	0.436769i
$76$	69.1845			0.910322
$77$	15.1756	−	29.7838i	0.197086	−	0.386803i
$78$	−1.77239	+	11.1904i	−0.0227229	+	0.143467i
$79$	31.0028	+	42.6717i	0.392441	+	0.540149i	0.958827	−	0.283992i	$-0.0916588\pi$
$79$	31.0028	+	42.6717i	0.392441	+	0.540149i	−0.566386	+	0.824140i	$0.691659\pi$
$80$	−266.120	+	32.3049i	−3.32650	+	0.403812i
$81$	7.28115	+	5.29007i	0.0898908	+	0.0653095i
$82$	−141.523	−	141.523i	−1.72589	−	1.72589i
$83$	−109.697	+	17.3742i	−1.32164	+	0.209328i	−0.777086	−	0.629395i	$-0.783303\pi$
$83$	−109.697	+	17.3742i	−1.32164	+	0.209328i	−0.544559	+	0.838723i	$0.683303\pi$
$84$	−180.041	−	58.4989i	−2.14335	−	0.696416i
$85$	38.9736	−	26.2103i	0.458513	−	0.308357i
$86$	78.2540	+	240.841i	0.909931	+	2.80048i
$87$	15.9325	−	8.11802i	0.183132	−	0.0933106i
$88$	36.9080	+	72.4359i	0.419409	+	0.823136i
$89$	−2.41881	+	0.785920i	−0.0271777	+	0.00883056i	−0.322574	−	0.946544i	$-0.604548\pi$
$89$	−2.41881	+	0.785920i	−0.0271777	+	0.00883056i	0.295397	+	0.955375i	$0.404548\pi$
$90$	−53.7944	−	19.6632i	−0.597716	−	0.218480i
$91$	5.46883	−	16.8313i	0.0600970	−	0.184960i
$92$	32.0369	+	202.273i	0.348228	+	2.19862i
$93$	73.2116	−	73.2116i	0.787221	−	0.787221i
$94$	−127.209	+	175.088i	−1.35329	+	1.86264i
$95$	−32.0869	−	6.28274i	−0.337756	−	0.0661342i
$96$	146.043	−	106.106i	1.52128	−	1.10528i
$97$	17.4484	+	2.76356i	0.179881	+	0.0284903i	0.245725	−	0.969340i	$-0.420974\pi$
$97$	17.4484	+	2.76356i	0.179881	+	0.0284903i	−0.0658443	+	0.997830i	$0.520974\pi$
$98$	196.375	+	100.058i	2.00383	+	1.02100i
$99$			9.70728i			0.0980533i
$100$	263.802	+	19.1743i	2.63802	+	0.191743i
$101$	104.802			1.03764			0.518820	−	0.854883i	$-0.326371\pi$
$101$	104.802			1.03764			0.518820	+	0.854883i	$0.326371\pi$
$102$	−28.2040	+	55.3534i	−0.276509	+	0.542680i
$103$	21.9764	−	138.754i	0.213363	−	1.34712i	−0.615706	−	0.787976i	$-0.711129\pi$
$103$	21.9764	−	138.754i	0.213363	−	1.34712i	0.829069	−	0.559146i	$-0.188871\pi$
$104$	25.2991	+	34.8212i	0.243260	+	0.334819i
$105$	78.1884	+	43.4809i	0.744652	+	0.414104i
$106$	−21.5540	−	15.6599i	−0.203339	−	0.147735i
$107$	−47.4260	−	47.4260i	−0.443234	−	0.443234i	0.449863	−	0.893097i	$-0.351473\pi$
$107$	−47.4260	−	47.4260i	−0.443234	−	0.443234i	−0.893097	+	0.449863i	$0.851473\pi$
$108$	54.2980	−	8.59995i	0.502759	−	0.0796292i
$109$	113.272	+	36.8044i	1.03920	+	0.337655i	0.778419	−	0.627744i	$-0.216022\pi$
$109$	113.272	+	36.8044i	1.03920	+	0.337655i	0.260776	+	0.965399i	$0.416022\pi$
$110$	−16.9464	−	59.4067i	−0.154059	−	0.540061i
$111$	−8.22582	−	25.3165i	−0.0741065	−	0.228076i
$112$	−493.502	+	251.452i	−4.40626	+	2.24510i
$113$	−3.48763	−	6.84486i	−0.0308640	−	0.0605739i	0.875060	−	0.484015i	$-0.160822\pi$
$113$	−3.48763	−	6.84486i	−0.0308640	−	0.0605739i	−0.905924	+	0.423441i	$0.860822\pi$
$114$	41.1312	−	13.3643i	0.360800	−	0.117231i
$115$	3.51042	−	96.7211i	0.0305254	−	0.841053i
$116$	33.7526	−	103.880i	0.290970	−	0.895515i
$117$	0.803975	+	5.07610i	0.00687158	+	0.0433854i
$118$	−114.827	+	114.827i	−0.973107	+	0.973107i
$119$	57.0384	−	78.5066i	0.479314	−	0.659719i
$120$	−197.324	+	91.6845i	−1.64437	+	0.764037i
$121$	89.4205	−	64.9678i	0.739013	−	0.536924i
$122$	−300.581	−	47.6073i	−2.46378	−	0.390224i
$123$	−80.8919	−	41.2165i	−0.657658	−	0.335093i
$124$		−	632.435i		−	5.10028i
$125$	−120.607	−	32.8490i	−0.964853	−	0.262792i
$126$	−118.337			−0.939186
$127$	−6.27698	+	12.3193i	−0.0494250	+	0.0970021i	−0.914398	−	0.404816i	$-0.867335\pi$
$127$	−6.27698	+	12.3193i	−0.0494250	+	0.0970021i	0.864973	+	0.501818i	$0.167335\pi$
$128$	44.3936	−	280.290i	0.346825	−	2.18977i
$129$	67.5190	+	92.9320i	0.523403	+	0.720403i
$130$	−13.7818	−	29.6612i	−0.106013	−	0.228163i
$131$	173.698	+	126.199i	1.32594	+	0.963348i	0.999838	+	0.0180121i	$0.00573373\pi$
$131$	173.698	+	126.199i	1.32594	+	0.963348i	0.326097	+	0.945336i	$0.394266\pi$
$132$	41.9280	+	41.9280i	0.317636	+	0.317636i
$133$	−66.7222	+	10.5678i	−0.501670	+	0.0794568i
$134$	−30.4037	−	9.87875i	−0.226893	−	0.0737220i
$135$	−25.9637	−	0.942333i	−0.192323	−	0.00698025i
$136$	72.9297	+	224.455i	0.536248	+	1.65040i
$137$	−8.68481	+	4.42513i	−0.0633928	+	0.0323002i	−0.485400	−	0.874292i	$-0.661326\pi$
$137$	−8.68481	+	4.42513i	−0.0633928	+	0.0323002i	0.422007	+	0.906593i	$0.361326\pi$
$138$	58.1195	+	114.066i	0.421156	+	0.826564i
$139$	−79.4247	+	25.8066i	−0.571401	+	0.185659i	−0.580445	−	0.814300i	$-0.697121\pi$
$139$	−79.4247	+	25.8066i	−0.571401	+	0.185659i	0.00904392	+	0.999959i	$0.497121\pi$
$140$	525.517	−	149.910i	3.75370	−	1.07078i
$141$	−30.3365	+	93.3661i	−0.215152	+	0.662171i
$142$	−26.7364	−	168.807i	−0.188284	−	1.18878i
$143$	−3.91967	+	3.91967i	−0.0274103	+	0.0274103i
$144$	94.5419	−	130.126i	0.656541	−	0.903651i
$145$	−25.0875	+	45.1130i	−0.173017	+	0.311124i
$146$	39.7662	−	28.8919i	0.272372	−	0.197890i
$147$	98.7435	+	15.6394i	0.671725	+	0.106391i
$148$	−144.877	−	73.8184i	−0.978897	−	0.498773i
$149$		−	108.900i		−	0.730871i	−0.930837	−	0.365436i	$-0.880920\pi$
$149$		−	108.900i		−	0.730871i	0.930837	−	0.365436i	$-0.119080\pi$
$150$	160.538	−	39.5591i	1.07025	−	0.263727i
$151$	−224.228			−1.48495			−0.742477	−	0.669872i	$-0.766349\pi$
$151$	−224.228			−1.48495			−0.742477	+	0.669872i	$0.766349\pi$
$152$	74.5883	−	146.388i	0.490712	−	0.963077i
$153$	−4.40838	+	27.8334i	−0.0288129	+	0.181918i
$154$	−75.0232	−	103.261i	−0.487164	−	0.670523i
$155$	−57.4324	+	293.315i	−0.370531	+	1.89236i
$156$	25.3974	+	18.4523i	0.162804	+	0.118284i
$157$	75.0618	+	75.0618i	0.478101	+	0.478101i	0.904524	−	0.426423i	$-0.140227\pi$
$157$	75.0618	+	75.0618i	0.478101	+	0.478101i	−0.426423	+	0.904524i	$0.640227\pi$
$158$	198.921	−	31.5059i	1.25899	−	0.199405i
$159$	−11.4937	−	3.73452i	−0.0722873	−	0.0234876i
$160$	−178.903	+	489.442i	−1.11814	+	3.05901i
$161$	−61.7935	−	190.181i	−0.383810	−	1.18125i
$162$	30.6197	−	15.6015i	0.189010	−	0.0963056i
$163$	−75.1849	−	147.559i	−0.461257	−	0.905268i	−0.998102	−	0.0615868i	$-0.980384\pi$
$163$	−75.1849	−	147.559i	−0.461257	−	0.905268i	0.536845	−	0.843681i	$-0.319616\pi$
$164$	−527.414	+	171.367i	−3.21594	+	1.04492i
$165$	−15.6381	−	23.2532i	−0.0947764	−	0.140928i
$166$	−131.049	+	403.326i	−0.789450	+	2.42968i
$167$	27.8242	+	175.675i	0.166612	+	1.05195i	0.919297	+	0.393566i	$0.128759\pi$
$167$	27.8242	+	175.675i	0.166612	+	1.05195i	−0.752685	+	0.658381i	$0.771241\pi$
$168$	−317.882	+	317.882i	−1.89215	+	1.89215i
$169$	97.6107	−	134.350i	0.577578	−	0.794968i
$170$	−21.6116	−	178.031i	−0.127127	−	1.04724i
$171$	15.8711	−	11.5310i	0.0928132	−	0.0674327i
$172$	693.025	+	109.764i	4.02921	+	0.638165i
$173$	35.2200	+	17.9455i	0.203584	+	0.103731i	0.552810	−	0.833307i	$-0.313556\pi$
$173$	35.2200	+	17.9455i	0.203584	+	0.103731i	−0.349226	+	0.937038i	$0.613556\pi$
$174$		−	68.2780i		−	0.392402i
$175$	−257.342	+	21.8032i	−1.47052	+	0.124590i
$176$	173.484			0.985707
$177$	−33.4416	+	65.6329i	−0.188936	+	0.370808i
$178$	−1.51917	+	9.59165i	−0.00853465	+	0.0538857i
$179$	84.2595	+	115.973i	0.470724	+	0.647895i	0.976689	−	0.214658i	$-0.0688638\pi$
$179$	84.2595	+	115.973i	0.470724	+	0.647895i	−0.505966	+	0.862554i	$0.668864\pi$
$180$	−116.213	+	108.073i	−0.645629	+	0.600405i
$181$	−192.653	−	139.970i	−1.06438	−	0.773317i	−0.0894861	−	0.995988i	$-0.528522\pi$
$181$	−192.653	−	139.970i	−1.06438	−	0.773317i	−0.974894	+	0.222671i	$0.928522\pi$
$182$	−47.7831	−	47.7831i	−0.262545	−	0.262545i
$183$	−136.347	+	21.5952i	−0.745063	+	0.118006i
$184$	462.530	+	150.285i	2.51375	+	0.816767i
$185$	60.4884	+	47.3925i	0.326964	+	0.256176i
$186$	−122.167	−	375.992i	−0.656813	−	2.02146i
$187$	−27.0821	+	13.7990i	−0.144824	+	0.0737916i
$188$	272.239	+	534.300i	1.44808	+	2.84202i
$189$	−51.0519	+	16.5878i	−0.270116	+	0.0877659i
$190$	−76.9977	+	98.2743i	−0.405251	+	0.517233i
$191$	−67.5399	+	207.867i	−0.353612	+	1.08831i	0.603198	+	0.797592i	$0.293893\pi$
$191$	−67.5399	+	207.867i	−0.353612	+	1.08831i	−0.956810	+	0.290715i	$0.906107\pi$
$192$	−49.7202	−	313.921i	−0.258959	−	1.63500i
$193$	92.5023	−	92.5023i	0.479287	−	0.479287i	−0.425617	−	0.904904i	$-0.639943\pi$
$193$	92.5023	−	92.5023i	0.479287	−	0.479287i	0.904904	+	0.425617i	$0.139943\pi$
$194$	39.6490	−	54.5721i	0.204376	−	0.281300i
$195$	−10.1033	−	10.8643i	−0.0518118	−	0.0557143i
$196$	494.046	−	358.945i	2.52064	−	1.83135i
$197$	−306.204	−	48.4979i	−1.55433	−	0.246182i	−0.680625	−	0.732632i	$-0.738292\pi$
$197$	−306.204	−	48.4979i	−1.55433	−	0.246182i	−0.873708	+	0.486450i	$0.838292\pi$
$198$	33.0260	+	16.8276i	0.166798	+	0.0849878i
$199$			70.0505i			0.352013i	0.984389	+	0.176006i	$0.0563179\pi$
$199$			70.0505i			0.352013i	−0.984389	+	0.176006i	$0.943682\pi$
$200$	324.977	−	537.507i	1.62489	−	2.68754i
$201$	−14.5012			−0.0721451
$202$	181.674	−	356.555i	0.899375	−	1.76512i
$203$	−16.6839	+	105.338i	−0.0821869	+	0.518908i
$204$	101.178	+	139.260i	0.495971	+	0.682645i
$205$	260.170	−	31.5826i	1.26912	−	0.154062i
$206$	−433.969	−	315.297i	−2.10665	−	1.53057i
$207$	41.0623	+	41.0623i	0.198369	+	0.198369i
$208$	90.7179	−	14.3683i	0.436144	−	0.0690784i
$209$	20.1238	+	6.53861i	0.0962860	+	0.0312852i
$210$	283.470	−	190.638i	1.34986	−	0.907798i
$211$	22.8561	+	70.3437i	0.108323	+	0.333383i	0.990496	−	0.137542i	$-0.0439203\pi$
$211$	22.8561	+	70.3437i	0.108323	+	0.333383i	−0.882173	+	0.470925i	$0.843920\pi$
$212$	−65.7741	+	33.5136i	−0.310255	+	0.158083i
$213$	−35.1966	−	69.0772i	−0.165242	−	0.324306i
$214$	−243.565	+	79.1392i	−1.13816	+	0.369809i
$215$	−311.448	−	113.842i	−1.44860	−	0.529497i
$216$	40.3423	−	124.161i	0.186770	−	0.574819i
$217$	96.6028	+	609.926i	0.445174	+	2.81072i
$218$	321.573	−	321.573i	1.47511	−	1.47511i
$219$	13.1057	−	18.0384i	0.0598432	−	0.0823671i
$220$	−167.980	−	32.8913i	−0.763547	−	0.149506i
$221$	−13.0188	+	9.45873i	−0.0589087	+	0.0427997i
$222$	−100.391	−	15.9004i	−0.452211	−	0.0716232i
$223$	345.737	+	176.162i	1.55039	+	0.789962i	0.999018	−	0.0442989i	$-0.0141054\pi$
$223$	345.737	+	176.162i	1.55039	+	0.789962i	0.551370	+	0.834261i	$0.314105\pi$
$224$			1076.68i			4.80660i
$225$	63.7124	−	39.5693i	0.283166	−	0.175864i
$226$	−29.3333			−0.129793
$227$	40.9300	−	80.3297i	0.180309	−	0.353876i	−0.783107	−	0.621887i	$-0.786366\pi$
$227$	40.9300	−	80.3297i	0.180309	−	0.353876i	0.963416	+	0.268011i	$0.0863664\pi$
$228$	18.7457	−	118.356i	0.0822180	−	0.519104i
$229$	−164.786	−	226.809i	−0.719591	−	0.990432i	−0.999537	−	0.0304165i	$-0.990317\pi$
$229$	−164.786	−	226.809i	−0.719591	−	0.990432i	0.279946	−	0.960016i	$-0.409683\pi$
$230$	−322.978	−	179.609i	−1.40425	−	0.780909i
$231$	−46.8401	−	34.0313i	−0.202771	−	0.147322i
$232$	−183.411	−	183.411i	−0.790563	−	0.790563i
$233$	305.115	−	48.3255i	1.30951	−	0.207405i	0.537631	−	0.843180i	$-0.319319\pi$
$233$	305.115	−	48.3255i	1.30951	−	0.207405i	0.771875	+	0.635775i	$0.219319\pi$
$234$	18.6635	+	6.06415i	0.0797586	+	0.0259152i
$235$	−77.7405	−	272.524i	−0.330811	−	1.15968i
$236$	139.041	+	427.926i	0.589159	+	1.81324i
$237$	81.4000	−	41.4754i	0.343460	−	0.175001i
$238$	−168.218	−	330.147i	−0.706799	−	1.38717i
$239$	399.939	−	129.948i	1.67338	−	0.543715i	0.689774	−	0.724025i	$-0.257710\pi$
$239$	399.939	−	129.948i	1.67338	−	0.543715i	0.983610	+	0.180310i	$0.0577100\pi$
$240$	−16.8410	+	464.012i	−0.0701708	+	1.93338i
$241$	0.855797	−	2.63387i	0.00355103	−	0.0109289i	−0.949265	−	0.314476i	$-0.898171\pi$
$241$	0.855797	−	2.63387i	0.00355103	−	0.0109289i	0.952816	+	0.303547i	$0.0981711\pi$
$242$	−66.0221	−	416.847i	−0.272819	−	1.72251i
$243$	11.0227	−	11.0227i	0.0453609	−	0.0453609i
$244$	−495.638	+	682.187i	−2.03130	+	2.79585i
$245$	−261.728	+	121.609i	−1.06828	+	0.496364i
$246$	−280.452	+	203.761i	−1.14005	+	0.828295i
$247$	11.0646	+	1.75246i	0.0447959	+	0.00709498i
$248$	−1338.17	−	681.833i	−5.39585	−	2.74932i
$249$			192.368i			0.772564i
$250$	−320.830	+	353.382i	−1.28332	+	1.41353i
$251$	242.132			0.964671			0.482336	−	0.875986i	$-0.339789\pi$
$251$	242.132			0.964671			0.482336	+	0.875986i	$0.339789\pi$
$252$	−148.858	+	292.151i	−0.590708	+	1.15933i
$253$	−9.79818	+	61.8633i	−0.0387280	+	0.244519i
$254$	31.0313	+	42.7109i	0.122170	+	0.168153i
$255$	−34.2787	−	73.7750i	−0.134426	−	0.289314i
$256$	−282.821	−	205.481i	−1.10477	−	0.802662i
$257$	−257.577	−	257.577i	−1.00225	−	1.00225i	−0.999997	−	0.00224933i	$-0.999284\pi$
$257$	−257.577	−	257.577i	−1.00225	−	1.00225i	−0.00224933	−	0.999997i	$-0.500716\pi$
$258$	433.216	−	68.6147i	1.67913	−	0.265949i
$259$	150.996	+	49.0616i	0.582997	+	0.189427i
$260$	−90.5638	−	3.28695i	−0.348322	−	0.0126421i
$261$	−9.57076	−	29.4558i	−0.0366696	−	0.112857i
$262$	730.456	−	372.186i	2.78800	−	1.42056i
$263$	148.270	+	290.996i	0.563764	+	1.10645i	0.980334	+	0.197345i	$0.0632320\pi$
$263$	148.270	+	290.996i	0.563764	+	1.10645i	−0.416570	+	0.909104i	$0.636768\pi$
$264$	133.918	−	43.5127i	0.507267	−	0.164821i
$265$	33.5486	−	9.57012i	0.126598	−	0.0361137i
$266$	−79.7095	+	245.320i	−0.299660	+	0.922257i
$267$	0.689111	+	4.35087i	0.00258094	+	0.0162954i
$268$	−62.6338	+	62.6338i	−0.233708	+	0.233708i
$269$	97.5105	−	134.212i	0.362493	−	0.498928i	−0.588349	−	0.808607i	$-0.700222\pi$
$269$	97.5105	−	134.212i	0.362493	−	0.498928i	0.950841	+	0.309679i	$0.100222\pi$
$270$	−48.2140	+	86.6997i	−0.178571	+	0.321110i
$271$	−47.3925	+	34.4326i	−0.174880	+	0.127058i	−0.671782	−	0.740749i	$-0.734471\pi$
$271$	−47.3925	+	34.4326i	−0.174880	+	0.127058i	0.496902	+	0.867807i	$0.334471\pi$
$272$	497.427	+	78.7847i	1.82878	+	0.289650i
$273$	−27.3120	−	13.9162i	−0.100044	−	0.0509749i
$274$			37.2183i			0.135833i
$275$	74.9202	+	30.5091i	0.272437	+	0.110942i
$276$	354.715			1.28520
$277$	−185.205	+	363.486i	−0.668611	+	1.31222i	0.268529	+	0.963272i	$0.413462\pi$
$277$	−185.205	+	363.486i	−0.668611	+	1.31222i	−0.937141	+	0.348952i	$0.886538\pi$
$278$	−49.8837	+	314.953i	−0.179438	+	1.13293i
$279$	−105.408	−	145.082i	−0.377807	−	0.520006i
$280$	249.369	−	1273.56i	0.890604	−	4.54844i
$281$	290.409	+	210.994i	1.03348	+	0.750869i	0.969003	−	0.247050i	$-0.0794613\pi$
$281$	290.409	+	210.994i	1.03348	+	0.750869i	0.0644796	+	0.997919i	$0.479461\pi$
$282$	265.061	+	265.061i	0.939931	+	0.939931i
$283$	81.1768	−	12.8571i	0.286844	−	0.0454316i	−0.0113545	−	0.999936i	$-0.503614\pi$
$283$	81.1768	−	12.8571i	0.286844	−	0.0454316i	0.298198	+	0.954504i	$0.403614\pi$
$284$	−450.382	−	146.338i	−1.58585	−	0.515275i
$285$	−19.4421	+	53.1895i	−0.0682178	+	0.186630i
$286$	6.54071	+	20.1302i	0.0228696	+	0.0703854i
$287$	482.467	−	245.829i	1.68107	−	0.856548i
$288$	−141.948	−	278.589i	−0.492876	−	0.967325i
$289$	190.937	−	62.0392i	0.660682	−	0.214668i
$290$	109.994	+	163.556i	0.379288	+	0.563985i
$291$	9.45538	−	29.1007i	0.0324927	−	0.100002i
$292$	−21.3056	−	134.518i	−0.0729644	−	0.460679i
$293$	−22.5109	+	22.5109i	−0.0768290	+	0.0768290i	−0.744477	−	0.667648i	$-0.767301\pi$
$293$	−22.5109	+	22.5109i	−0.0768290	+	0.0768290i	0.667648	+	0.744477i	$0.267301\pi$
$294$	224.380	−	308.833i	0.763198	−	1.05045i
$295$	−25.6251	−	211.093i	−0.0868646	−	0.715569i
$296$	−312.385	+	226.961i	−1.05536	+	0.766761i
$297$	16.6065	+	2.63021i	0.0559141	+	0.00885593i
$298$	−370.498	−	188.778i	−1.24328	−	0.633483i
$299$			33.1608i			0.110906i
$300$	104.280	−	446.097i	0.347599	−	1.48699i
$301$	−685.126			−2.27617
$302$	−388.700	+	762.866i	−1.28708	+	2.52605i
$303$	28.3963	−	179.287i	0.0937171	−	0.591706i
$304$	−206.077	−	283.641i	−0.677885	−	0.933029i
$305$	291.821	−	271.380i	0.956789	−	0.889769i
$306$	87.0526	+	63.2474i	0.284485	+	0.206691i
$307$	−313.580	−	313.580i	−1.02143	−	1.02143i	−0.999765	−	0.0216692i	$-0.993102\pi$
$307$	−313.580	−	313.580i	−1.02143	−	1.02143i	−0.0216692	−	0.999765i	$-0.506898\pi$
$308$	−349.302	+	55.3240i	−1.13410	+	0.179623i
$309$	−231.415	−	75.1912i	−0.748915	−	0.243337i
$310$	898.354	+	703.858i	2.89792	+	2.27051i
$311$	−65.4563	−	201.454i	−0.210470	−	0.647761i	−0.999444	−	0.0333344i	$-0.989387\pi$
$311$	−65.4563	−	201.454i	−0.210470	−	0.647761i	0.788974	−	0.614427i	$-0.210613\pi$
$312$	66.4243	−	33.8449i	0.212898	−	0.108477i
$313$	189.343	+	371.608i	0.604931	+	1.18724i	0.966924	+	0.255064i	$0.0820964\pi$
$313$	189.343	+	371.608i	0.604931	+	1.18724i	−0.361993	+	0.932181i	$0.617904\pi$
$314$	385.494	−	125.255i	1.22769	−	0.398900i
$315$	95.5692	−	121.978i	0.303394	−	0.387231i
$316$	172.443	−	530.726i	0.545707	−	1.67951i
$317$	53.7101	+	339.112i	0.169432	+	1.06975i	0.915038	+	0.403367i	$0.132160\pi$
$317$	53.7101	+	339.112i	0.169432	+	1.06975i	−0.745606	+	0.666387i	$0.767840\pi$
$318$	−32.6299	+	32.6299i	−0.102610	+	0.102610i
$319$	19.6353	−	27.0257i	0.0615527	−	0.0847200i
$320$	624.817	+	671.880i	1.95255	+	2.09963i
$321$	−93.9832	+	68.2828i	−0.292782	+	0.212719i
$322$	−754.150	−	119.446i	−2.34208	−	0.370949i
$323$	54.7309	+	27.8868i	0.169446	+	0.0863369i
$324$		−	95.2191i		−	0.293886i
$325$	41.7038	+	9.74868i	0.128319	+	0.0299959i
$326$	−632.355			−1.93974
$327$	93.6536	−	183.806i	0.286403	−	0.562097i
$328$	−206.012	+	1300.71i	−0.628086	+	3.96558i
$329$	−344.163	−	473.700i	−1.04609	−	1.43982i
$330$	−106.220	+	12.8943i	−0.321880	+	0.0390737i
$331$	54.8002	+	39.8146i	0.165559	+	0.120286i	0.667480	−	0.744628i	$-0.267373\pi$
$331$	54.8002	+	39.8146i	0.165559	+	0.120286i	−0.501921	+	0.864914i	$0.667373\pi$
$332$	830.883	+	830.883i	2.50266	+	2.50266i
$333$	−45.5384	+	7.21257i	−0.136752	+	0.0216594i
$334$	645.913	+	209.870i	1.93387	+	0.628353i
$335$	34.7366	−	23.3609i	0.103691	−	0.0697340i
$336$	296.449	+	912.378i	0.882290	+	2.71541i
$337$	60.8331	−	30.9960i	0.180514	−	0.0919763i	−0.361398	−	0.932411i	$-0.617701\pi$
$337$	60.8331	−	30.9960i	0.180514	−	0.0919763i	0.541912	+	0.840435i	$0.317701\pi$
$338$	−287.874	−	564.985i	−0.851699	−	1.67155i
$339$	−12.6547	+	4.11175i	−0.0373294	+	0.0121290i
$340$	−466.708	−	170.593i	−1.37267	−	0.501745i
$341$	59.7713	−	183.957i	0.175282	−	0.539464i
$342$	−11.7181	−	73.9853i	−0.0342635	−	0.216331i
$343$	−63.6995	+	63.6995i	−0.185713	+	0.185713i
$344$	979.406	−	1348.04i	2.84711	−	3.91871i
$345$	−164.512	−	32.2122i	−0.476847	−	0.0933686i
$346$	122.108	−	88.7165i	0.352913	−	0.256406i
$347$	104.124	+	16.4916i	0.300069	+	0.0475262i	0.304653	−	0.952463i	$-0.401459\pi$
$347$	104.124	+	16.4916i	0.300069	+	0.0475262i	−0.00458468	+	0.999989i	$0.501459\pi$
$348$	−168.564	−	85.8879i	−0.484381	−	0.246804i
$349$			218.794i			0.626918i	0.949602	+	0.313459i	$0.101488\pi$
$349$			218.794i			0.626918i	−0.949602	+	0.313459i	$0.898512\pi$
$350$	−371.924	+	913.321i	−1.06264	+	2.60949i
$351$	8.90165			0.0253608
$352$	153.104	−	300.483i	0.434954	−	0.853645i
$353$	10.7175	−	67.6679i	0.0303613	−	0.191694i	−0.967846	−	0.251543i	$-0.919062\pi$
$353$	10.7175	−	67.6679i	0.0303613	−	0.191694i	0.998207	+	0.0598492i	$0.0190620\pi$
$354$	165.324	+	227.549i	0.467018	+	0.642795i
$355$	195.592	+	108.770i	0.550964	+	0.306393i
$356$	21.7688	+	15.8160i	0.0611484	+	0.0444269i
$357$	−118.849	−	118.849i	−0.332909	−	0.332909i
$358$	540.627	−	85.6269i	1.51013	−	0.239181i
$359$	−424.418	−	137.902i	−1.18222	−	0.384128i	−0.349032	−	0.937111i	$-0.613489\pi$
$359$	−424.418	−	137.902i	−1.18222	−	0.384128i	−0.833192	+	0.552983i	$0.813489\pi$
$360$	103.382	+	362.410i	0.287171	+	1.00669i
$361$	98.3411	+	302.663i	0.272413	+	0.838401i
$362$	−810.169	+	412.802i	−2.23804	+	1.14034i
$363$	−86.9135	−	170.577i	−0.239431	−	0.469910i
$364$	−178.074	+	57.8597i	−0.489214	+	0.158955i
$365$	−2.33455	+	64.3226i	−0.00639602	+	0.176226i
$366$	−162.886	+	501.312i	−0.445044	+	1.36970i
$367$	39.9694	+	252.357i	0.108909	+	0.687622i	0.980371	+	0.197160i	$0.0631718\pi$
$367$	39.9694	+	252.357i	0.108909	+	0.687622i	−0.871463	+	0.490462i	$0.836828\pi$
$368$	733.848	−	733.848i	1.99415	−	1.99415i
$369$	−92.4280	+	127.216i	−0.250482	+	0.344759i
$370$	266.095	−	123.638i	0.719176	−	0.334157i
$371$	58.3141	−	42.3677i	0.157181	−	0.114199i
$372$	−1081.92	−	171.360i	−2.90840	−	0.460645i
$373$	−552.492	−	281.509i	−1.48121	−	0.754715i	−0.488200	−	0.872732i	$-0.662346\pi$
$373$	−552.492	−	281.509i	−1.48121	−	0.754715i	−0.993012	+	0.118017i	$0.962346\pi$
$374$			116.059i			0.310318i
$375$	−88.8743	+	197.424i	−0.236998	+	0.526465i
$376$	1424.03			3.78731
$377$	8.02931	−	15.7584i	0.0212979	−	0.0417995i
$378$	−32.0638	+	202.443i	−0.0848249	+	0.535563i
$379$	156.193	+	214.982i	0.412120	+	0.567234i	0.963734	−	0.266865i	$-0.0859879\pi$
$379$	156.193	+	214.982i	0.412120	+	0.567234i	−0.551614	+	0.834099i	$0.685988\pi$
$380$	145.763	+	313.712i	0.383586	+	0.825559i
$381$	19.3741	+	14.0761i	0.0508507	+	0.0369452i
$382$	590.120	+	590.120i	1.54482	+	1.54482i
$383$	−133.605	+	21.1610i	−0.348839	+	0.0552507i	−0.328396	−	0.944540i	$-0.606508\pi$
$383$	−133.605	+	21.1610i	−0.348839	+	0.0552507i	−0.0204437	+	0.999791i	$0.506508\pi$
$384$	−467.472	−	151.891i	−1.21737	−	0.395549i
$385$	167.026	+	6.06209i	0.433833	+	0.0157457i
$386$	−154.357	−	475.063i	−0.399890	−	1.23073i
$387$	177.276	−	90.3265i	0.458077	−	0.233402i
$388$	−84.8525	−	166.532i	−0.218692	−	0.429207i
$389$	−473.302	+	153.785i	−1.21672	+	0.395335i	−0.845885	−	0.533366i	$-0.820927\pi$
$389$	−473.302	+	153.785i	−1.21672	+	0.395335i	−0.370831	+	0.928700i	$0.620927\pi$
$390$	−54.4764	+	15.5400i	−0.139683	+	0.0398462i
$391$	−56.1881	+	172.929i	−0.143704	+	0.442274i
$392$	−226.860	−	1432.34i	−0.578724	−	3.65392i
$393$	262.955	−	262.955i	0.669097	−	0.669097i
$394$	−695.803	+	957.691i	−1.76600	+	2.43069i
$395$	−128.173	+	230.484i	−0.324489	+	0.583504i
$396$	83.0877	−	60.3668i	0.209818	−	0.152441i
$397$	−87.3947	−	13.8420i	−0.220138	−	0.0348664i	0.0453911	−	0.998969i	$-0.485547\pi$
$397$	−87.3947	−	13.8420i	−0.220138	−	0.0348664i	−0.265529	+	0.964103i	$0.585547\pi$
$398$	238.325	+	121.433i	0.598807	+	0.305107i
$399$			117.007i			0.293250i
$400$	−707.166	−	1138.64i	−1.76791	−	2.84660i
$401$	−138.459			−0.345285			−0.172643	−	0.984985i	$-0.555231\pi$
$401$	−138.459			−0.345285			−0.172643	+	0.984985i	$0.555231\pi$
$402$	−25.1378	+	49.3357i	−0.0625318	+	0.122726i
$403$	16.0197	−	101.145i	0.0397512	−	0.250979i
$404$	−651.731	−	897.031i	−1.61320	−	2.22037i
$405$	−8.64699	+	44.1614i	−0.0213506	+	0.109041i
$406$	329.459	+	239.366i	0.811475	+	0.589571i
$407$	−35.1639	−	35.1639i	−0.0863979	−	0.0863979i
$408$	403.741	−	63.9463i	0.989561	−	0.156731i
$409$	−456.902	−	148.457i	−1.11712	−	0.362974i	−0.308452	−	0.951240i	$-0.599811\pi$
$409$	−456.902	−	148.457i	−1.11712	−	0.362974i	−0.808668	+	0.588265i	$0.799811\pi$
$410$	343.555	−	939.895i	0.837938	−	2.29243i
$411$	5.21702	+	16.0563i	0.0126935	+	0.0390665i
$412$	−1324.30	+	674.765i	−3.21432	+	1.63778i
$413$	−199.458	−	391.457i	−0.482948	−	0.947839i
$414$	210.883	−	68.5201i	0.509379	−	0.165507i
$415$	−309.899	−	460.806i	−0.746744	−	1.11038i
$416$	55.1739	−	169.808i	0.132630	−	0.408192i
$417$	22.6278	+	142.866i	0.0542633	+	0.342605i
$418$	57.1302	−	57.1302i	0.136675	−	0.136675i
$419$	49.5502	−	68.2000i	0.118258	−	0.162768i	−0.745784	−	0.666188i	$-0.767925\pi$
$419$	49.5502	−	68.2000i	0.118258	−	0.162768i	0.864042	+	0.503419i	$0.167925\pi$
$420$	−114.064	−	939.635i	−0.271582	−	2.23723i
$421$	170.763	−	124.067i	0.405614	−	0.294696i	−0.366210	−	0.930532i	$-0.619345\pi$
$421$	170.763	−	124.067i	0.405614	−	0.294696i	0.771824	+	0.635837i	$0.219345\pi$
$422$	278.943	+	44.1803i	0.661003	+	0.104693i
$423$	151.504	+	77.1952i	0.358166	+	0.182495i
$424$			175.303i			0.413450i
$425$	200.961	+	121.501i	0.472850	+	0.285886i
$426$	−296.027			−0.694899
$427$	373.795	−	733.615i	0.875399	−	1.71807i
$428$	−111.006	+	700.864i	−0.259360	+	1.63753i
$429$	5.64345	+	7.76754i	0.0131549	+	0.0181061i
$430$	−927.207	+	862.259i	−2.15629	+	2.00525i
$431$	472.248	+	343.108i	1.09570	+	0.796075i	0.980353	−	0.197250i	$-0.0632011\pi$
$431$	472.248	+	343.108i	1.09570	+	0.796075i	0.115350	+	0.993325i	$0.463201\pi$
$432$	−196.993	−	196.993i	−0.456003	−	0.456003i
$433$	302.852	−	47.9670i	0.699427	−	0.110778i	0.203413	−	0.979093i	$-0.434797\pi$
$433$	302.852	−	47.9670i	0.699427	−	0.110778i	0.496014	+	0.868315i	$0.334797\pi$
$434$	2242.54	+	728.647i	5.16715	+	1.67891i
$435$	70.3784	+	55.1413i	0.161789	+	0.126762i
$436$	−389.387	−	1198.41i	−0.893089	−	2.74865i
$437$	112.783	−	57.4659i	0.258085	−	0.131501i
$438$	−38.6513	−	75.8575i	−0.0882450	−	0.173191i
$439$	618.981	−	201.119i	1.40998	−	0.458130i	0.497575	−	0.867421i	$-0.334224\pi$
$439$	618.981	−	201.119i	1.40998	−	0.458130i	0.912404	+	0.409291i	$0.134224\pi$
$440$	−250.696	+	319.970i	−0.569763	+	0.727204i
$441$	53.5096	−	164.686i	0.121337	−	0.373437i
$442$	9.61222	+	60.6892i	0.0217471	+	0.137306i
$443$	−605.106	+	605.106i	−1.36593	+	1.36593i	−0.499769	+	0.866159i	$0.666582\pi$
$443$	−605.106	+	605.106i	−1.36593	+	1.36593i	−0.866159	+	0.499769i	$0.833418\pi$
$444$	−165.538	+	227.843i	−0.372833	+	0.513161i
$445$	−8.65983	−	9.31211i	−0.0194603	−	0.0209261i
$446$	1198.67	−	870.884i	2.68760	−	1.95266i
$447$	−186.298	−	29.5067i	−0.416774	−	0.0660105i
$448$	1689.05	+	860.616i	3.77021	+	1.92102i
$449$			741.715i			1.65193i	0.563724	+	0.825963i	$0.309368\pi$
$449$			741.715i			1.65193i	−0.563724	+	0.825963i	$0.690632\pi$
$450$	−24.1766	−	285.355i	−0.0537258	−	0.634122i
$451$	−169.605			−0.376065
$452$	−36.8988	+	72.4179i	−0.0816344	+	0.160217i
$453$	−60.7551	+	383.593i	−0.134117	+	0.846783i
$454$	−202.345	−	278.503i	−0.445693	−	0.613444i
$455$	87.8427	−	10.6634i	0.193061	−	0.0234361i
$456$	−230.219	−	167.264i	−0.504867	−	0.366807i
$457$	−409.156	−	409.156i	−0.895308	−	0.895308i	0.0997085	−	0.995017i	$-0.468209\pi$
$457$	−409.156	−	409.156i	−0.895308	−	0.895308i	−0.995017	+	0.0997085i	$0.968209\pi$
$458$	−1057.30	+	167.460i	−2.30852	+	0.365634i
$459$	46.4209	+	15.0831i	0.101135	+	0.0328607i
$460$	−849.697	+	571.433i	−1.84717	+	1.24225i
$461$	−187.953	−	578.460i	−0.407707	−	1.25479i	−0.918613	−	0.395158i	$-0.870690\pi$
$461$	−187.953	−	578.460i	−0.407707	−	1.25479i	0.510906	−	0.859637i	$-0.329310\pi$
$462$	−196.978	+	100.365i	−0.426360	+	0.217241i
$463$	362.695	+	711.828i	0.783357	+	1.53743i	0.842204	+	0.539159i	$0.181258\pi$
$463$	362.695	+	711.828i	0.783357	+	1.53743i	−0.0588468	+	0.998267i	$0.518742\pi$
$464$	−526.421	+	171.045i	−1.13453	+	0.368631i
$465$	486.220	+	177.726i	1.04564	+	0.382205i
$466$	364.505	−	1121.83i	0.782199	−	2.40736i
$467$	−45.9534	−	290.138i	−0.0984012	−	0.621281i	−0.986767	−	0.162145i	$-0.948159\pi$
$467$	−45.9534	−	290.138i	−0.0984012	−	0.621281i	0.888366	−	0.459136i	$-0.151841\pi$
$468$	38.4483	−	38.4483i	0.0821544	−	0.0821544i
$469$	50.8375	−	69.9718i	0.108396	−	0.149194i
$470$	−1061.94	−	207.932i	−2.25945	−	0.442409i
$471$	148.748	−	108.072i	0.315814	−	0.229452i
$472$	1055.35	+	167.151i	2.23591	+	0.354134i
$473$	191.207	+	97.4249i	0.404243	+	0.205972i
$474$		−	348.835i		−	0.735940i
$475$	−39.1142	−	158.733i	−0.0823458	−	0.334174i
$476$	−1026.67			−2.15687
$477$	−9.50299	+	18.6507i	−0.0199224	+	0.0390999i
$478$	251.187	−	1585.93i	0.525495	−	3.31785i
$479$	262.947	+	361.915i	0.548950	+	0.755565i	0.989869	−	0.141982i	$-0.0453475\pi$
$479$	262.947	+	361.915i	0.548950	+	0.755565i	−0.440919	+	0.897547i	$0.645348\pi$
$480$	788.827	+	438.670i	1.64339	+	0.913895i
$481$	−21.3001	−	15.4755i	−0.0442831	−	0.0321735i
$482$	−7.47740	−	7.47740i	−0.0155133	−	0.0155133i
$483$	−342.090	+	54.1818i	−0.708262	+	0.112178i
$484$	−1112.16	−	361.363i	−2.29785	−	0.746618i
$485$	24.2304	+	84.9411i	0.0499596	+	0.175136i
$486$	−18.3934	−	56.6092i	−0.0378466	−	0.116480i
$487$	187.507	−	95.5396i	0.385025	−	0.196180i	−0.250755	−	0.968051i	$-0.580679\pi$
$487$	187.507	−	95.5396i	0.385025	−	0.196180i	0.635779	+	0.771871i	$0.280679\pi$
$488$	909.091	+	1784.19i	1.86289	+	3.65613i
$489$	−272.804	+	88.6394i	−0.557881	+	0.181267i
$490$	−39.9694	+	1101.26i	−0.0815703	+	2.24747i
$491$	−227.870	+	701.313i	−0.464095	+	1.42834i	0.396023	+	0.918241i	$0.370390\pi$
$491$	−227.870	+	701.313i	−0.464095	+	1.42834i	−0.860118	+	0.510096i	$0.829610\pi$
$492$	150.258	+	948.693i	0.305403	+	1.92824i
$493$	68.5730	−	68.5730i	0.139093	−	0.139093i
$494$	25.1427	−	34.6059i	0.0508961	−	0.0700525i
$495$	−44.0170	+	20.4520i	−0.0889233	+	0.0413172i
$496$	−2592.84	+	1883.81i	−5.22750	+	3.79800i
$497$	456.706	+	72.3351i	0.918925	+	0.145543i
$498$	654.473	+	333.471i	1.31420	+	0.669620i
$499$		−	319.115i		−	0.639508i	−0.947501	−	0.319754i	$-0.896400\pi$
$499$		−	319.115i		−	0.639508i	0.947501	−	0.319754i	$-0.103600\pi$
$500$	468.852	+	1236.59i	0.937704	+	2.47318i
$501$	308.071			0.614912
$502$	419.737	−	823.780i	0.836129	−	1.64100i
$503$	53.1080	−	335.310i	0.105582	−	0.666621i	−0.876957	−	0.480568i	$-0.840430\pi$
$503$	53.1080	−	335.310i	0.105582	−	0.666621i	0.982540	−	0.186053i	$-0.0595696\pi$
$504$	457.678	+	629.940i	0.908092	+	1.24988i
$505$	220.804	+	475.216i	0.437235	+	0.941022i
$506$	193.485	+	140.575i	0.382382	+	0.277817i
$507$	−203.388	−	203.388i	−0.401159	−	0.401159i
$508$	144.479	−	22.8833i	0.284408	−	0.0450458i
$509$	−238.384	−	77.4558i	−0.468339	−	0.152172i	0.0653342	−	0.997863i	$-0.479189\pi$
$509$	−238.384	−	77.4558i	−0.468339	−	0.152172i	−0.533673	+	0.845691i	$0.679189\pi$
$510$	−310.418	−	11.2664i	−0.608663	−	0.0220910i
$511$	41.0947	+	126.476i	0.0804201	+	0.247508i
$512$	−177.942	+	90.6660i	−0.347543	+	0.177082i
$513$	−15.4261	−	30.2754i	−0.0300703	−	0.0590163i
$514$	−1322.84	+	429.816i	−2.57361	+	0.836218i
$515$	675.470	−	192.686i	1.31159	−	0.374147i
$516$	375.553	−	1155.83i	0.727817	−	2.23999i
$517$	28.6900	+	181.142i	0.0554933	+	0.350371i
$518$	428.669	−	428.669i	0.827546	−	0.827546i
$519$	40.2427	−	55.3894i	0.0775390	−	0.106723i
$520$	−104.592	+	188.081i	−0.201139	+	0.361694i
$521$	62.2939	−	45.2591i	0.119566	−	0.0868697i	−0.526395	−	0.850240i	$-0.676457\pi$
$521$	62.2939	−	45.2591i	0.119566	−	0.0868697i	0.645961	+	0.763370i	$0.276457\pi$
$522$	−116.805	−	18.5001i	−0.223764	−	0.0354408i
$523$	−503.346	−	256.468i	−0.962420	−	0.490378i	−0.0991241	−	0.995075i	$-0.531604\pi$
$523$	−503.346	−	256.468i	−0.962420	−	0.490378i	−0.863296	+	0.504697i	$0.831604\pi$
$524$		−	2271.53i		−	4.33497i
$525$	−32.4280	+	446.149i	−0.0617677	+	0.849807i
$526$	1247.05			2.37082
$527$	254.921	−	500.311i	0.483722	−	0.949357i
$528$	47.0060	−	296.784i	0.0890266	−	0.562092i
$529$	−90.7003	−	124.838i	−0.171456	−	0.235989i
$530$	25.5972	−	130.728i	0.0482966	−	0.246657i
$531$	103.219	+	74.9929i	0.194386	+	0.141230i
$532$	505.379	+	505.379i	0.949960	+	0.949960i
$533$	−88.6895	+	14.0470i	−0.166397	+	0.0263547i
$534$	15.9971	+	5.19776i	0.0299571	+	0.00973364i
$535$	115.130	−	314.971i	0.215195	−	0.588731i
$536$	65.0012	+	200.053i	0.121271	+	0.373233i
$537$	221.229	−	112.722i	0.411972	−	0.209910i
$538$	−287.579	−	564.405i	−0.534533	−	1.04908i
$539$	177.628	−	57.7147i	0.329550	−	0.107077i
$540$	153.395	+	228.091i	0.284064	+	0.422392i
$541$	78.8885	−	242.794i	0.145820	−	0.448787i	−0.851296	−	0.524686i	$-0.824183\pi$
$541$	78.8885	−	242.794i	0.145820	−	0.448787i	0.997116	+	0.0758989i	$0.0241826\pi$
$542$	34.9914	+	220.927i	0.0645598	+	0.407615i
$543$	−291.651	+	291.651i	−0.537110	+	0.537110i
$544$	575.449	−	792.037i	1.05781	−	1.45595i
$545$	71.7632	+	591.168i	0.131676	+	1.08471i
$546$	−94.6908	+	68.7969i	−0.173426	+	0.126002i
$547$	−21.2248	−	3.36168i	−0.0388022	−	0.00614567i	0.137003	−	0.990571i	$-0.456253\pi$
$547$	−21.2248	−	3.36168i	−0.0388022	−	0.00614567i	−0.175805	+	0.984425i	$0.556253\pi$
$548$	91.8844	+	46.8175i	0.167672	+	0.0854333i
$549$			239.103i			0.435525i
$550$	233.672	−	202.005i	0.424858	−	0.367282i
$551$	−67.5102			−0.122523
$552$	382.420	−	750.542i	0.692791	−	1.35968i
$553$	−85.2390	+	538.178i	−0.154139	+	0.973197i
$554$	915.594	+	1260.21i	1.65270	+	2.27474i
$555$	97.4651	−	90.6380i	0.175613	−	0.163312i
$556$	714.807	+	519.337i	1.28562	+	0.934060i
$557$	−491.442	−	491.442i	−0.882302	−	0.882302i	0.111466	−	0.993768i	$-0.464445\pi$
$557$	−491.442	−	491.442i	−0.882302	−	0.882302i	−0.993768	+	0.111466i	$0.964445\pi$
$558$	−676.321	+	107.119i	−1.21204	+	0.191969i
$559$	108.054	+	35.1090i	0.193299	+	0.0628067i
$560$	−2179.94	−	1707.97i	−3.89274	−	3.04995i
$561$	16.2684	+	50.0690i	0.0289989	+	0.0892495i
$562$	1221.27	−	622.266i	2.17307	−	1.10723i
$563$	−179.520	−	352.328i	−0.318863	−	0.625805i	0.674825	−	0.737978i	$-0.264219\pi$
$563$	−179.520	−	352.328i	−0.318863	−	0.625805i	−0.993689	+	0.112173i	$0.964219\pi$
$564$	987.804	−	320.957i	1.75143	−	0.569073i
$565$	23.6896	−	30.2357i	0.0419284	−	0.0535144i
$566$	96.9776	−	298.466i	0.171339	−	0.527326i
$567$	14.5445	+	91.8303i	0.0256516	+	0.161958i
$568$	−795.197	+	795.197i	−1.40000	+	1.40000i
$569$	−574.279	+	790.427i	−1.00928	+	1.38915i	−0.0898223	+	0.995958i	$0.528630\pi$
$569$	−574.279	+	790.427i	−1.00928	+	1.38915i	−0.919456	+	0.393194i	$0.871370\pi$
$570$	147.258	+	158.350i	0.258347	+	0.277806i
$571$	25.2224	−	18.3252i	0.0441724	−	0.0320931i	−0.565480	−	0.824762i	$-0.691309\pi$
$571$	25.2224	−	18.3252i	0.0441724	−	0.0320931i	0.609652	+	0.792669i	$0.291309\pi$
$572$	57.9251	+	9.17443i	0.101268	+	0.0160392i
$573$	337.303	+	171.864i	0.588661	+	0.299938i
$574$		−	2067.59i		−	3.60207i
$575$	445.971	−	187.861i	0.775602	−	0.326715i
$576$	−550.504			−0.955737
$577$	−232.473	+	456.255i	−0.402900	+	0.790736i	−0.999934	−	0.0114797i	$-0.996346\pi$
$577$	−232.473	+	456.255i	−0.402900	+	0.790736i	0.597034	+	0.802216i	$0.296346\pi$
$578$	119.921	−	757.148i	0.207475	−	1.30995i
$579$	−133.182	−	183.310i	−0.230022	−	0.316597i
$580$	542.148	−	65.8126i	0.934738	−	0.113470i
$581$	−928.226	−	674.396i	−1.59764	−	1.16075i
$582$	−82.6150	−	82.6150i	−0.141950	−	0.141950i
$583$	−22.2992	+	3.53184i	−0.0382490	+	0.00605805i
$584$	−307.598	−	99.9445i	−0.526708	−	0.171138i
$585$	−21.3233	+	14.3403i	−0.0364502	+	0.0245133i
$586$	37.5636	+	115.609i	0.0641017	+	0.197285i
$587$	−757.983	+	386.211i	−1.29128	+	0.657941i	−0.958508	−	0.285066i	$-0.907985\pi$
$587$	−757.983	+	386.211i	−1.29128	+	0.657941i	−0.332774	+	0.943007i	$0.607985\pi$
$588$	−480.194	−	942.435i	−0.816657	−	1.60278i
$589$	−371.764	+	120.793i	−0.631178	+	0.205082i
$590$	−762.599	−	278.749i	−1.29254	−	0.472455i
$591$	−165.933	+	510.690i	−0.280767	+	0.864112i
$592$	128.900	+	813.843i	0.217737	+	1.37473i
$593$	668.358	−	668.358i	1.12708	−	1.12708i	0.136429	−	0.990650i	$-0.456437\pi$
$593$	668.358	−	668.358i	1.12708	−	1.12708i	0.990650	−	0.136429i	$-0.0435626\pi$
$594$	37.7359	−	51.9389i	0.0635284	−	0.0874393i
$595$	476.156	+	93.2333i	0.800262	+	0.156695i
$596$	−932.109	+	677.217i	−1.56394	+	1.13627i
$597$	119.837	+	18.9804i	0.200732	+	0.0317929i
$598$	112.819	+	57.4844i	0.188661	+	0.0961277i
$599$			532.977i			0.889779i	0.895586	+	0.444889i	$0.146757\pi$
$599$			532.977i			0.889779i	−0.895586	+	0.444889i	$0.853243\pi$
$600$	−831.474	−	701.586i	−1.38579	−	1.16931i
$601$	201.602			0.335444			0.167722	−	0.985834i	$-0.446359\pi$
$601$	201.602			0.335444			0.167722	+	0.985834i	$0.446359\pi$
$602$	−1187.67	+	2330.93i	−1.97287	+	3.87197i
$603$	−3.92912	+	24.8075i	−0.00651596	+	0.0411402i
$604$	1394.41	+	1919.24i	2.30862	+	3.17755i
$605$	482.990	+	268.593i	0.798331	+	0.443955i
$606$	−560.743	−	407.404i	−0.925318	−	0.672283i
$607$	−536.410	−	536.410i	−0.883707	−	0.883707i	0.110203	−	0.993909i	$-0.464850\pi$
$607$	−536.410	−	536.410i	−0.883707	−	0.883707i	−0.993909	+	0.110203i	$0.964850\pi$
$608$	−673.146	+	106.616i	−1.10715	+	0.175355i
$609$	175.684	+	57.0833i	0.288480	+	0.0937328i
$610$	−417.413	−	1463.27i	−0.684284	−	2.39880i
$611$	30.0050	+	92.3458i	0.0491080	+	0.151139i
$612$	265.650	−	135.355i	0.434068	−	0.221169i
$613$	−17.2999	−	33.9530i	−0.0282217	−	0.0553883i	0.876465	−	0.481465i	$-0.159895\pi$
$613$	−17.2999	−	33.9530i	−0.0282217	−	0.0553883i	−0.904687	+	0.426077i	$0.859895\pi$
$614$	−1610.45	+	523.267i	−2.62288	+	0.852227i
$615$	16.4644	−	453.637i	0.0267714	−	0.737621i
$616$	−259.525	+	798.735i	−0.421307	+	1.29665i
$617$	60.5732	+	382.444i	0.0981738	+	0.619845i	0.986891	+	0.161389i	$0.0515974\pi$
$617$	60.5732	+	382.444i	0.0981738	+	0.619845i	−0.888717	+	0.458456i	$0.848403\pi$
$618$	−656.972	+	656.972i	−1.06306	+	1.06306i
$619$	16.6997	−	22.9852i	0.0269785	−	0.0371328i	−0.795315	−	0.606197i	$-0.792694\pi$
$619$	16.6997	−	22.9852i	0.0269785	−	0.0371328i	0.822293	+	0.569064i	$0.192694\pi$
$620$	2867.73	−	1332.46i	4.62538	−	2.14913i
$621$	81.3723	−	59.1204i	0.131034	−	0.0952019i
$622$	−798.852	−	126.526i	−1.28433	−	0.203418i
$623$	−23.4099	−	11.9280i	−0.0375761	−	0.0191460i
$624$		−	159.087i		−	0.254946i
$625$	−105.151	−	616.091i	−0.168242	−	0.985746i
$626$	1592.51			2.54394
$627$	16.6384	−	32.6546i	0.0265365	−	0.0520807i
$628$	175.690	−	1109.27i	0.279762	−	1.76635i
$629$	−84.8555	−	116.794i	−0.134905	−	0.185681i
$630$	−249.322	−	536.593i	−0.395749	−	0.851735i
$631$	−132.339	−	96.1501i	−0.209729	−	0.152377i	0.477962	−	0.878381i	$-0.341376\pi$
$631$	−132.339	−	96.1501i	−0.209729	−	0.152377i	−0.687691	+	0.726003i	$0.741376\pi$
$632$	−937.054	−	937.054i	−1.48268	−	1.48268i
$633$	126.532	−	20.0407i	0.199892	−	0.0316598i
$634$	1246.83	+	405.120i	1.96661	+	0.638990i
$635$	−69.0857	−	2.50742i	−0.108796	−	0.00394869i
$636$	39.5109	+	121.602i	0.0621241	+	0.191198i
$637$	88.1044	−	44.8914i	0.138311	−	0.0704732i
$638$	−57.9086	−	113.652i	−0.0907658	−	0.178138i
$639$	−127.709	+	41.4951i	−0.199857	+	0.0649375i
$640$	1364.49	−	389.236i	2.13202	−	0.608182i
$641$	−276.865	+	852.104i	−0.431927	+	1.32934i	0.464276	+	0.885691i	$0.346315\pi$
$641$	−276.865	+	852.104i	−0.431927	+	1.32934i	−0.896203	+	0.443644i	$0.853685\pi$
$642$	69.3909	+	438.117i	0.108085	+	0.682425i
$643$	−183.019	+	183.019i	−0.284633	+	0.284633i	−0.834953	−	0.550321i	$-0.814505\pi$
$643$	−183.019	+	183.019i	−0.284633	+	0.284633i	0.550321	+	0.834953i	$0.314505\pi$
$644$	−1243.54	+	1711.59i	−1.93097	+	2.65775i
$645$	−279.140	+	501.957i	−0.432775	+	0.778227i
$646$	189.752	−	137.863i	0.293734	−	0.213410i
$647$	−351.165	−	55.6190i	−0.542758	−	0.0859644i	−0.120965	−	0.992657i	$-0.538599\pi$
$647$	−351.165	−	55.6190i	−0.542758	−	0.0859644i	−0.421793	+	0.906692i	$0.638599\pi$
$648$	−201.475	−	102.656i	−0.310918	−	0.158420i
$649$			137.612i			0.212037i
$650$	105.460	−	124.985i	0.162247	−	0.192284i
$651$	1069.59			1.64300
$652$	−795.449	+	1561.16i	−1.22001	+	2.39441i
$653$	−22.7355	+	143.546i	−0.0348170	+	0.219826i	−0.998962	−	0.0455498i	$-0.985496\pi$
$653$	−22.7355	+	143.546i	−0.0348170	+	0.219826i	0.964145	+	0.265376i	$0.0854960\pi$
$654$	−462.992	−	637.254i	−0.707940	−	0.974395i
$655$	−206.281	+	1053.50i	−0.314932	+	1.60840i
$656$	2273.55	+	1651.83i	3.46578	+	2.51804i
$657$	−27.3077	−	27.3077i	−0.0415643	−	0.0415643i
$658$	−2208.22	+	349.748i	−3.35596	+	0.531532i
$659$	−686.597	−	223.089i	−1.04188	−	0.338526i	−0.262401	−	0.964959i	$-0.584514\pi$
$659$	−686.597	−	223.089i	−1.04188	−	0.338526i	−0.779476	+	0.626433i	$0.784514\pi$
$660$	−101.783	+	278.456i	−0.154216	+	0.421904i
$661$	200.334	+	616.564i	0.303077	+	0.932774i	0.980388	+	0.197077i	$0.0631450\pi$
$661$	200.334	+	616.564i	0.303077	+	0.932774i	−0.677311	+	0.735697i	$0.736855\pi$
$662$	230.453	−	117.422i	0.348116	−	0.177374i
$663$	12.6538	+	24.8345i	0.0190857	+	0.0374578i
$664$	2653.85	−	862.288i	3.99676	−	1.29863i
$665$	−188.494	−	280.282i	−0.283449	−	0.421477i
$666$	−54.4023	+	167.433i	−0.0816851	+	0.251401i
$667$	−31.2617	−	197.378i	−0.0468691	−	0.295920i
$668$	1330.63	−	1330.63i	1.99196	−	1.99196i
$669$	395.042	−	543.729i	0.590497	−	0.812749i
$670$	−19.2621	−	158.677i	−0.0287494	−	0.236831i
$671$	−208.640	+	151.586i	−0.310939	+	0.225910i
$672$	1841.90	+	291.729i	2.74093	+	0.434120i
$673$	684.165	+	348.600i	1.01659	+	0.517979i	0.881165	−	0.472809i	$-0.156760\pi$
$673$	684.165	+	348.600i	1.01659	+	0.517979i	0.135425	+	0.990788i	$0.456760\pi$
$674$		−	260.697i		−	0.386791i
$675$	−50.4292	−	119.716i	−0.0747099	−	0.177357i
$676$	−1756.95			−2.59904
$677$	543.596	−	1066.87i	0.802948	−	1.57587i	−0.0145153	−	0.999895i	$-0.504621\pi$
$677$	543.596	−	1066.87i	0.802948	−	1.57587i	0.817464	−	0.575980i	$-0.195379\pi$
$678$	−7.94793	+	50.1812i	−0.0117226	+	0.0740136i
$679$	107.270	+	147.644i	0.157982	+	0.217444i
$680$	−864.121	+	803.592i	−1.27077	+	1.18175i
$681$	−126.332	−	91.7857i	−0.185510	−	0.134781i
$682$	−522.243	−	522.243i	−0.765752	−	0.765752i
$683$	−559.331	+	88.5893i	−0.818932	+	0.129706i	−0.551824	−	0.833960i	$-0.686068\pi$
$683$	−559.331	+	88.5893i	−0.818932	+	0.129706i	−0.267108	+	0.963667i	$0.586068\pi$
$684$	−197.395	−	64.1375i	−0.288589	−	0.0937683i
$685$	−38.3632	−	30.0575i	−0.0560047	−	0.0438796i
$686$	106.294	+	327.141i	0.154948	+	0.476881i
$687$	−432.657	+	220.450i	−0.629778	+	0.320888i
$688$	−1614.28	−	3168.20i	−2.34633	−	4.60494i
$689$	−11.3681	+	3.69372i	−0.0164994	+	0.00536098i
$690$	−394.774	+	503.861i	−0.572136	+	0.730234i
$691$	36.2639	−	111.609i	0.0524803	−	0.161518i	−0.921381	−	0.388660i	$-0.872938\pi$
$691$	36.2639	−	111.609i	0.0524803	−	0.161518i	0.973862	+	0.227142i	$0.0729382\pi$
$692$	−65.4218	−	413.057i	−0.0945402	−	0.596903i
$693$	−70.9097	+	70.9097i	−0.102323	+	0.102323i
$694$	236.606	−	325.661i	0.340931	−	0.469252i
$695$	−284.356	−	305.775i	−0.409146	−	0.439963i
$696$	−363.461	+	264.070i	−0.522214	+	0.379411i
$697$	−486.305	−	77.0231i	−0.697712	−	0.110507i
$698$	744.379	+	379.280i	1.06645	+	0.543381i
$699$		−	535.062i		−	0.765468i
$700$	1786.95	+	2067.08i	2.55279	+	2.95298i
$701$	−292.238			−0.416887			−0.208443	−	0.978034i	$-0.566840\pi$
$701$	−292.238			−0.416887			−0.208443	+	0.978034i	$0.566840\pi$
$702$	15.4310	−	30.2851i	0.0219815	−	0.0431411i
$703$	−15.7216	+	99.2620i	−0.0223635	+	0.141198i
$704$	−349.007	−	480.367i	−0.495749	−	0.682340i
$705$	−487.277	+	59.1517i	−0.691174	+	0.0839032i
$706$	−211.640	−	153.766i	−0.299774	−	0.217798i
$707$	765.555	+	765.555i	1.08282	+	1.08282i
$708$	769.737	−	121.914i	1.08720	−	0.172196i
$709$	−1295.76	−	421.017i	−1.82759	−	0.593819i	−0.999445	−	0.0332982i	$-0.989399\pi$
$709$	−1295.76	−	421.017i	−1.82759	−	0.593819i	−0.828141	−	0.560520i	$-0.810601\pi$
$710$	709.114	−	476.889i	0.998752	−	0.671675i
$711$	−48.8975	−	150.491i	−0.0687728	−	0.211661i
$712$	56.9343	−	29.0095i	0.0799639	−	0.0407436i
$713$	−525.312	−	1030.98i	−0.736764	−	1.44598i
$714$	−610.370	+	198.321i	−0.854859	+	0.277761i
$715$	−26.0318	−	9.51525i	−0.0364081	−	0.0133080i
$716$	468.667	−	1442.41i	0.654563	−	2.01454i
$717$	−113.941	−	719.395i	−0.158914	−	1.00334i
$718$	−1204.90	+	1204.90i	−1.67813	+	1.67813i
$719$	142.658	−	196.352i	0.198411	−	0.273090i	−0.698205	−	0.715898i	$-0.746018\pi$
$719$	142.658	−	196.352i	0.198411	−	0.273090i	0.896617	+	0.442808i	$0.146018\pi$
$720$	789.234	+	154.535i	1.09616	+	0.214633i
$721$	1174.10	−	853.034i	1.62843	−	1.18313i
$722$	1200.19	+	190.091i	1.66231	+	0.263284i
$723$	−4.27396	−	2.17769i	−0.00591142	−	0.00301202i
$724$			2519.41i			3.47985i
$725$	−257.418	−	18.7103i	−0.355059	−	0.0258072i
$726$	−731.000			−1.00689
$727$	100.890	−	198.007i	0.138775	−	0.272362i	−0.811150	−	0.584838i	$-0.801158\pi$
$727$	100.890	−	198.007i	0.138775	−	0.272362i	0.949926	+	0.312476i	$0.101158\pi$
$728$	−69.5571	+	439.166i	−0.0955454	+	0.603250i
$729$	−15.8702	−	21.8435i	−0.0217698	−	0.0299636i
$730$	214.791	+	119.446i	0.294234	+	0.163625i
$731$	503.999	+	366.177i	0.689465	+	0.500926i
$732$	1032.74	+	1032.74i	1.41085	+	1.41085i
$733$	877.405	−	138.967i	1.19701	−	0.189587i	0.474060	−	0.880492i	$-0.342788\pi$
$733$	877.405	−	138.967i	1.19701	−	0.189587i	0.722945	+	0.690905i	$0.242788\pi$
$734$	927.853	+	301.478i	1.26411	+	0.410733i
$735$	137.124	+	480.696i	0.186563	+	0.654008i
$736$	−623.422	−	1918.69i	−0.847040	−	2.60692i
$737$	−24.1379	+	12.2989i	−0.0327515	+	0.0166877i
$738$	272.589	+	534.987i	0.369362	+	0.724914i
$739$	1235.48	−	401.432i	1.67183	−	0.543210i	0.688530	−	0.725208i	$-0.258256\pi$
$739$	1235.48	−	401.432i	1.67183	−	0.543210i	0.983299	+	0.181998i	$0.0582565\pi$
$740$	29.4877	−	812.460i	0.0398482	−	1.09792i
$741$	5.99596	−	18.4537i	0.00809171	−	0.0249037i
$742$	−43.0552	−	271.840i	−0.0580259	−	0.366361i
$743$	−155.402	+	155.402i	−0.209155	+	0.209155i	−0.803908	−	0.594753i	$-0.797250\pi$
$743$	−155.402	+	155.402i	−0.209155	+	0.209155i	0.594753	+	0.803908i	$0.297250\pi$
$744$	−1529.01	+	2104.50i	−2.05512	+	2.82863i
$745$	493.799	−	229.438i	0.662817	−	0.307971i
$746$	−1915.49	+	1391.69i	−2.56768	+	1.86553i
$747$	329.090	+	52.1227i	0.440548	+	0.0697760i
$748$	286.526	+	145.992i	0.383056	+	0.195177i
$749$		−	692.875i		−	0.925067i
$750$	517.611	+	644.602i	0.690148	+	0.859470i
$751$	−1390.18			−1.85111			−0.925553	−	0.378619i	$-0.876399\pi$
$751$	−1390.18			−1.85111			−0.925553	+	0.378619i	$0.876399\pi$
$752$	1379.60	−	2707.62i	1.83458	−	3.60056i
$753$	65.6064	−	414.222i	0.0871267	−	0.550096i
$754$	−39.6942	−	54.6344i	−0.0526449	−	0.0724595i
$755$	−472.420	−	1016.75i	−0.625722	−	1.34668i
$756$	459.457	+	333.815i	0.607747	+	0.441554i
$757$	1024.14	+	1024.14i	1.35290	+	1.35290i	0.882401	+	0.470499i	$0.155926\pi$
$757$	1024.14	+	1024.14i	1.35290	+	1.35290i	0.470499	+	0.882401i	$0.344074\pi$
$758$	1002.17	−	158.728i	1.32212	−	0.209404i
$759$	103.176	+	33.5240i	0.135937	+	0.0441687i
$760$	820.933	+	29.7952i	1.08018	+	0.0392042i
$761$	−53.1206	−	163.489i	−0.0698037	−	0.214834i	0.910069	−	0.414457i	$-0.136028\pi$
$761$	−53.1206	−	163.489i	−0.0698037	−	0.214834i	−0.979873	+	0.199623i	$0.936028\pi$
$762$	81.4747	−	41.5134i	0.106922	−	0.0544796i
$763$	558.583	+	1096.28i	0.732087	+	1.43680i
$764$	2199.21	−	714.566i	2.87854	−	0.935296i
$765$	−135.497	+	38.6520i	−0.177120	+	0.0505254i
$766$	−159.611	+	491.233i	−0.208370	+	0.641297i
$767$	11.3973	+	71.9596i	0.0148596	+	0.0938196i
$768$	−428.153	+	428.153i	−0.557491	+	0.557491i
$769$	450.717	−	620.358i	0.586107	−	0.806708i	−0.408241	−	0.912874i	$-0.633858\pi$
$769$	450.717	−	620.358i	0.586107	−	0.806708i	0.994348	+	0.106167i	$0.0338577\pi$
$770$	310.164	−	557.745i	0.402810	−	0.724344i
$771$	−510.436	+	370.853i	−0.662044	+	0.481003i
$772$	−1367.00	−	216.512i	−1.77073	−	0.280456i
$773$	−63.8654	−	32.5410i	−0.0826201	−	0.0420971i	0.412192	−	0.911097i	$-0.364763\pi$
$773$	−63.8654	−	32.5410i	−0.0826201	−	0.0420971i	−0.494812	+	0.869000i	$0.664763\pi$
$774$		−	759.706i		−	0.981532i
$775$	−1451.02	+	357.554i	−1.87228	+	0.461361i
$776$	−443.847			−0.571967
$777$	124.844	−	245.020i	0.160674	−	0.315341i
$778$	−297.264	+	1876.85i	−0.382087	+	2.41240i
$779$	201.469	+	277.299i	0.258626	+	0.355968i
$780$	−30.1616	+	154.039i	−0.0386687	+	0.197486i
$781$	−117.173	−	85.1311i	−0.150029	−	0.109003i
$782$	490.936	+	490.936i	0.627795	+	0.627795i
$783$	−52.9840	+	8.39184i	−0.0676679	+	0.0107175i
$784$	−2943.19	−	956.301i	−3.75407	−	1.21977i
$785$	−182.217	+	498.508i	−0.232124	+	0.635042i
$786$	−438.790	−	1350.46i	−0.558256	−	1.71814i
$787$	−834.014	+	424.952i	−1.05974	+	0.539964i	−0.894859	−	0.446350i	$-0.852724\pi$
$787$	−834.014	+	424.952i	−1.05974	+	0.539964i	−0.164880	+	0.986314i	$0.552724\pi$
$788$	1489.08	+	2922.49i	1.88970	+	3.70874i
$789$	537.989	−	174.803i	0.681861	−	0.221550i
$790$	561.962	+	835.614i	0.711345	+	1.05774i
$791$	24.5239	−	75.4767i	0.0310036	−	0.0954194i
$792$	−38.1528	−	240.888i	−0.0481728	−	0.304151i
$793$	−96.5467	+	96.5467i	−0.121749	+	0.121749i
$794$	−198.592	+	273.338i	−0.250116	+	0.344255i
$795$	−7.28178	−	59.9855i	−0.00915947	−	0.0754535i
$796$	599.585	−	435.624i	0.753248	−	0.547266i
$797$	273.910	+	43.3832i	0.343677	+	0.0544331i	0.325887	−	0.945409i	$-0.394337\pi$
$797$	273.910	+	43.3832i	0.343677	+	0.0544331i	0.0177897	+	0.999842i	$0.494337\pi$
$798$	398.079	+	202.831i	0.498846	+	0.254175i
$799$			532.412i			0.666347i
$800$	−2596.27	+	219.968i	−3.24533	+	0.274960i
$801$	7.62987			0.00952543
$802$	−240.019	+	471.064i	−0.299276	+	0.587362i
$803$	6.51611	−	41.1411i	0.00811471	−	0.0512342i
$804$	90.1785	+	124.120i	0.112162	+	0.154378i
$805$	732.171	−	680.885i	0.909529	−	0.845820i
$806$	−316.343	−	229.836i	−0.392485	−	0.285157i
$807$	−203.179	−	203.179i	−0.251770	−	0.251770i
$808$	−2600.67	+	411.905i	−3.21865	+	0.509784i
$809$	119.344	+	38.7773i	0.147521	+	0.0479323i	0.381847	−	0.924226i	$-0.375288\pi$
$809$	119.344	+	38.7773i	0.147521	+	0.0479323i	−0.234326	+	0.972158i	$0.575288\pi$
$810$	135.256	+	105.973i	0.166982	+	0.130830i
$811$	−20.5855	−	63.3557i	−0.0253829	−	0.0781204i	0.937563	−	0.347816i	$-0.113077\pi$
$811$	−20.5855	−	63.3557i	−0.0253829	−	0.0781204i	−0.962946	+	0.269696i	$0.913077\pi$
$812$	1005.38	−	512.265i	1.23815	−	0.630868i
$813$	46.0637	+	90.4052i	0.0566590	+	0.111199i
$814$	−180.591	+	58.6776i	−0.221856	+	0.0720855i
$815$	510.690	−	651.808i	0.626613	−	0.799765i
$816$	269.558	−	829.615i	0.330341	−	1.01668i
$817$	−67.8432	−	428.345i	−0.0830394	−	0.524290i
$818$	−1297.12	+	1297.12i	−1.58572	+	1.58572i
$819$	−31.2070	+	42.9527i	−0.0381038	+	0.0524454i
$820$	−1888.25	−	2030.47i	−2.30274	−	2.47619i
$821$	350.913	−	254.953i	0.427422	−	0.310540i	−0.353195	−	0.935550i	$-0.614905\pi$
$821$	350.913	−	254.953i	0.427422	−	0.310540i	0.780617	+	0.625009i	$0.214905\pi$
$822$	63.6703	+	10.0844i	0.0774578	+	0.0122681i
$823$	−310.152	−	158.030i	−0.376855	−	0.192017i	0.255295	−	0.966863i	$-0.417827\pi$
$823$	−310.152	−	158.030i	−0.376855	−	0.192017i	−0.632150	+	0.774846i	$0.717827\pi$
$824$			3529.56i			4.28345i
$825$	72.4925	−	119.901i	0.0878697	−	0.145335i
$826$	−1677.57			−2.03096
$827$	−331.352	+	650.315i	−0.400667	+	0.786354i	−0.999899	−	0.0142217i	$-0.995473\pi$
$827$	−331.352	+	650.315i	−0.400667	+	0.786354i	0.599231	+	0.800576i	$0.295473\pi$
$828$	96.1108	−	606.820i	0.116076	−	0.732874i
$829$	86.3945	+	118.912i	0.104215	+	0.143440i	0.857939	−	0.513751i	$-0.171744\pi$
$829$	86.3945	+	118.912i	0.104215	+	0.143440i	−0.753724	+	0.657191i	$0.771744\pi$
$830$	−2104.96	+	255.526i	−2.53610	+	0.307863i
$831$	571.643	+	415.323i	0.687898	+	0.499787i
$832$	−222.287	−	222.287i	−0.267171	−	0.267171i
$833$	535.517	−	84.8175i	0.642877	−	0.101822i
$834$	525.283	+	170.675i	0.629836	+	0.204646i
$835$	−737.965	+	496.292i	−0.883791	+	0.594362i
$836$	−69.1779	−	212.908i	−0.0827486	−	0.254674i
$837$	−276.756	+	141.014i	−0.330652	+	0.168476i
$838$	−146.134	−	286.804i	−0.174384	−	0.342248i
$839$	−62.4801	+	20.3010i	−0.0744697	+	0.0241967i	−0.346015	−	0.938229i	$-0.612465\pi$
$839$	−62.4801	+	20.3010i	−0.0744697	+	0.0241967i	0.271545	+	0.962426i	$0.412465\pi$
$840$	−2111.15	−	771.678i	−2.51328	−	0.918664i
$841$	226.948	−	698.473i	0.269854	−	0.830526i
$842$	−126.080	−	796.039i	−0.149739	−	0.945415i
$843$	439.640	−	439.640i	0.521519	−	0.521519i
$844$	459.959	−	633.080i	0.544975	−	0.750094i
$845$	814.853	+	159.552i	0.964322	+	0.188819i
$846$	525.265	−	381.627i	0.620881	−	0.451096i
$847$	1127.78	+	178.622i	1.33149	+	0.210888i
$848$	333.317	+	169.834i	0.393063	+	0.200275i
$849$		−	142.355i		−	0.167674i
$850$	761.738	−	473.085i	0.896162	−	0.556571i
$851$	−297.491			−0.349578
$852$	−372.376	+	730.830i	−0.437061	+	0.857781i
$853$	227.200	−	1434.49i	0.266354	−	1.68170i	−0.384996	−	0.922918i	$-0.625797\pi$
$853$	227.200	−	1434.49i	0.266354	−	1.68170i	0.651351	−	0.758777i	$-0.274203\pi$
$854$	−1847.92	−	2543.44i	−2.16384	−	2.97827i
$855$	85.7248	+	47.6719i	0.100263	+	0.0557566i
$856$	1363.28	+	990.484i	1.59262	+	1.15711i
$857$	998.077	+	998.077i	1.16462	+	1.16462i	0.983453	+	0.181164i	$0.0579865\pi$
$857$	998.077	+	998.077i	1.16462	+	1.16462i	0.181164	+	0.983453i	$0.442014\pi$
$858$	36.2095	−	5.73503i	0.0422022	−	0.00668418i
$859$	489.381	+	159.009i	0.569710	+	0.185110i	0.579685	−	0.814840i	$-0.303175\pi$
$859$	489.381	+	159.009i	0.569710	+	0.185110i	−0.00997576	+	0.999950i	$0.503175\pi$
$860$	962.396	+	3373.73i	1.11906	+	3.92295i
$861$	−289.821	−	891.977i	−0.336610	−	1.03598i
$862$	1985.96	−	1011.90i	2.30390	−	1.17390i
$863$	−316.464	−	621.095i	−0.366702	−	0.719693i	0.631758	−	0.775166i	$-0.282334\pi$
$863$	−316.464	−	621.095i	−0.366702	−	0.719693i	−0.998460	+	0.0554721i	$0.982334\pi$
$864$	−515.052	+	167.350i	−0.596125	+	0.193693i
$865$	−7.16855	+	197.512i	−0.00828734	+	0.228337i
$866$	361.801	−	1113.51i	0.417784	−	1.28581i
$867$	−54.3972	−	343.451i	−0.0627419	−	0.396137i
$868$	4619.81	−	4619.81i	5.32236	−	5.32236i
$869$	100.318	−	138.076i	0.115440	−	0.158890i
$870$	309.602	−	143.853i	0.355864	−	0.165348i
$871$	−11.6035	+	8.43043i	−0.0133220	+	0.00967902i
$872$	−2955.52	−	468.109i	−3.38936	−	0.536822i
$873$	−47.2213	−	24.0605i	−0.0540909	−	0.0275607i
$874$		−	483.327i		−	0.553006i
$875$	−641.051	−	1120.96i	−0.732630	−	1.28110i
$876$	−235.897			−0.269289
$877$	−455.800	+	894.559i	−0.519727	+	1.02002i	0.470740	+	0.882272i	$0.343987\pi$
$877$	−455.800	+	894.559i	−0.519727	+	1.02002i	−0.990467	+	0.137750i	$0.956013\pi$
$878$	388.759	−	2454.53i	0.442778	−	2.79559i
$879$	32.4106	+	44.6093i	0.0368721	+	0.0507501i
$880$	365.510	+	786.654i	0.415352	+	0.893925i
$881$	−522.124	−	379.345i	−0.592649	−	0.430585i	0.250613	−	0.968087i	$-0.419368\pi$
$881$	−522.124	−	379.345i	−0.592649	−	0.430585i	−0.843262	+	0.537503i	$0.819368\pi$
$882$	−467.532	−	467.532i	−0.530082	−	0.530082i
$883$	1021.46	−	161.783i	1.15680	−	0.183219i	0.451596	−	0.892223i	$-0.350855\pi$
$883$	1021.46	−	161.783i	1.15680	−	0.183219i	0.705205	+	0.709003i	$0.250855\pi$
$884$	161.921	+	52.6112i	0.183168	+	0.0595149i
$885$	−368.065	−	13.3587i	−0.415893	−	0.0150946i
$886$	1009.73	+	3107.64i	1.13965	+	3.50749i
$887$	754.815	−	384.598i	0.850975	−	0.433594i	0.0266061	−	0.999646i	$-0.491530\pi$
$887$	754.815	−	384.598i	0.850975	−	0.433594i	0.824369	+	0.566052i	$0.191530\pi$
$888$	303.627	+	595.902i	0.341922	+	0.671061i
$889$	−135.842	+	44.1377i	−0.152803	+	0.0496487i
$890$	−46.6934	+	13.3198i	−0.0524645	+	0.0149661i
$891$	8.99914	−	27.6965i	0.0101000	−	0.0310848i
$892$	−642.212	−	4054.77i	−0.719969	−	4.54570i
$893$	262.080	−	262.080i	0.293483	−	0.293483i
$894$	−423.335	+	582.670i	−0.473529	+	0.651756i
$895$	−348.349	+	626.410i	−0.389217	+	0.699900i
$896$	2371.75	−	1723.18i	2.64704	−	1.92319i
$897$	56.7291	+	8.98501i	0.0632432	+	0.0100167i
$898$	2523.45	+	1285.76i	2.81008	+	1.43181i
$899$			617.130i			0.686463i
$900$	−734.895	−	299.265i	−0.816550	−	0.332517i
$901$	−65.5417			−0.0727433
$902$	−294.011	+	577.029i	−0.325955	+	0.639722i
$903$	−185.637	+	1172.06i	−0.205578	+	1.29797i
$904$	113.449	+	156.149i	0.125496	+	0.172731i
$905$	228.792	−	1168.47i	0.252808	−	1.29113i
$906$	1199.74	+	871.659i	1.32421	+	0.962096i
$907$	911.474	+	911.474i	1.00493	+	1.00493i	0.999988	+	0.00494491i	$0.00157402\pi$
$907$	911.474	+	911.474i	1.00493	+	1.00493i	0.00494491	+	0.999988i	$0.498426\pi$
$908$	−942.100	+	149.214i	−1.03756	+	0.164333i
$909$	−299.017	−	97.1565i	−0.328952	−	0.106883i
$910$	115.996	−	317.342i	0.127469	−	0.348728i
$911$	−373.009	−	1148.00i	−0.409450	−	1.26016i	−0.917122	−	0.398607i	$-0.869494\pi$
$911$	−373.009	−	1148.00i	−0.409450	−	1.26016i	0.507672	−	0.861551i	$-0.330506\pi$
$912$	−541.069	+	275.688i	−0.593277	+	0.302290i
$913$	163.153	+	320.206i	0.178700	+	0.350719i
$914$	−2101.30	+	682.753i	−2.29901	+	0.746994i
$915$	−385.187	−	572.756i	−0.420969	−	0.625963i
$916$	−916.572	+	2820.92i	−1.00062	+	3.07961i
$917$	346.970	+	2190.68i	0.378375	+	2.38897i
$918$	131.786	−	131.786i	0.143558	−	0.143558i
$919$	202.163	−	278.254i	0.219982	−	0.302779i	−0.684735	−	0.728792i	$-0.740082\pi$
$919$	202.163	−	278.254i	0.219982	−	0.302779i	0.904717	+	0.426013i	$0.140082\pi$
$920$	293.034	+	2413.94i	0.318515	+	2.62385i
$921$	−621.416	+	451.485i	−0.674718	+	0.490212i
$922$	−2293.85	−	363.310i	−2.48790	−	0.394045i
$923$	−68.3223	−	34.8120i	−0.0740220	−	0.0377161i
$924$			612.551i			0.662934i
$925$	−87.4568	+	374.131i	−0.0945478	+	0.404466i
$926$	3050.50			3.29428
$927$	−191.334	+	375.514i	−0.206401	+	0.405085i
$928$	−168.321	+	1062.74i	−0.181380	+	1.14519i
$929$	548.526	+	754.981i	0.590448	+	0.812681i	0.994792	−	0.101925i	$-0.0325003\pi$
$929$	548.526	+	754.981i	0.590448	+	0.812681i	−0.404344	+	0.914607i	$0.632500\pi$
$930$	1447.52	−	1346.13i	1.55647	−	1.44745i
$931$	−305.360	−	221.857i	−0.327992	−	0.238300i
$932$	−2311.05	−	2311.05i	−2.47967	−	2.47967i
$933$	−362.368	+	57.3934i	−0.388390	+	0.0615149i
$934$	−1066.76	−	346.613i	−1.14215	−	0.371106i
$935$	−119.629	−	93.7292i	−0.127946	−	0.100245i
$936$	−39.9015	−	122.804i	−0.0426298	−	0.131201i
$937$	−1347.43	+	686.550i	−1.43803	+	0.732711i	−0.987138	−	0.159870i	$-0.948892\pi$
$937$	−1347.43	+	686.550i	−1.43803	+	0.732711i	−0.450887	+	0.892581i	$0.648892\pi$
$938$	−149.930	−	294.255i	−0.159840	−	0.313705i
$939$	687.022	−	223.227i	0.731653	−	0.237728i
$940$	−1849.17	+	2360.15i	−1.96720	+	2.51080i
$941$	200.211	−	616.186i	0.212764	−	0.654821i	−0.786541	−	0.617539i	$-0.788130\pi$
$941$	200.211	−	616.186i	0.212764	−	0.654821i	0.999305	−	0.0372822i	$-0.0118701\pi$
$942$	−109.826	−	693.413i	−0.116588	−	0.736107i
$943$	−717.440	+	717.440i	−0.760806	+	0.760806i
$944$	1340.24	−	1844.68i	1.41975	−	1.95412i
$945$	−182.776	−	196.543i	−0.193414	−	0.207982i
$946$	662.916	−	481.636i	0.700756	−	0.509129i
$947$	−660.519	−	104.616i	−0.697486	−	0.110471i	−0.202384	−	0.979306i	$-0.564869\pi$
$947$	−660.519	−	104.616i	−0.697486	−	0.110471i	−0.495101	+	0.868835i	$0.664869\pi$
$948$	−861.204	−	438.805i	−0.908443	−	0.462875i
$949$		−	22.0530i		−	0.0232382i
$950$	−607.843	−	142.089i	−0.639834	−	0.149568i
$951$	594.681			0.625322
$952$	−1106.86	+	2172.33i	−1.16267	+	2.28186i
$953$	−110.913	+	700.277i	−0.116383	+	0.734813i	0.858619	+	0.512615i	$0.171323\pi$
$953$	−110.913	+	700.277i	−0.116383	+	0.734813i	−0.975002	+	0.222198i	$0.928677\pi$
$954$	46.9796	+	64.6619i	0.0492449	+	0.0677798i
$955$	−1084.85	+	131.693i	−1.13597	+	0.137898i
$956$	−3599.37	−	2615.10i	−3.76503	−	2.73546i
$957$	−40.9133	−	40.9133i	−0.0427516	−	0.0427516i
$958$	1687.12	−	267.214i	1.76109	−	0.278929i
$959$	−95.7655	−	31.1161i	−0.0998597	−	0.0324464i
$960$	1318.70	−	886.844i	1.37364	−	0.923796i
$961$	807.242	+	2484.43i	0.840002	+	2.58526i
$962$	−89.5743	+	45.6404i	−0.0931125	+	0.0474432i
$963$	91.3482	+	179.281i	0.0948579	+	0.186169i
$964$	−27.8661	+	9.05425i	−0.0289068	+	0.00939238i
$965$	614.336	+	224.555i	0.636618	+	0.232700i
$966$	−408.677	+	1257.78i	−0.423061	+	1.30205i
$967$	−153.642	−	970.058i	−0.158885	−	1.00316i	−0.930292	−	0.366820i	$-0.880446\pi$
$967$	−153.642	−	970.058i	−0.158885	−	1.00316i	0.771407	−	0.636343i	$-0.219554\pi$
$968$	−1963.64	+	1963.64i	−2.02855	+	2.02855i
$969$	62.5362	−	86.0737i	0.0645368	−	0.0888273i
$970$	330.989	+	64.8091i	0.341226	+	0.0668135i
$971$	−1464.07	+	1063.71i	−1.50780	+	1.09548i	−0.540653	+	0.841245i	$0.681823\pi$
$971$	−1464.07	+	1063.71i	−1.50780	+	1.09548i	−0.967143	+	0.254233i	$0.918177\pi$
$972$	−162.894	−	25.7999i	−0.167586	−	0.0265431i
$973$	−768.694	−	391.669i	−0.790025	−	0.402538i
$974$		−	803.552i		−	0.825002i
$975$	27.9771	−	68.7024i	0.0286944	−	0.0704640i
$976$	4273.15			4.37823
$977$	−144.789	+	284.165i	−0.148198	+	0.290855i	−0.953157	−	0.302475i	$-0.902187\pi$
$977$	−144.789	+	284.165i	−0.148198	+	0.290855i	0.804959	+	0.593330i	$0.202187\pi$
$978$	−171.338	+	1081.79i	−0.175192	+	1.10612i
$979$	4.83717	+	6.65779i	0.00494093	+	0.00680060i
$980$	2668.51	+	1483.97i	2.72297	+	1.51425i
$981$	−289.065	−	210.018i	−0.294664	−	0.214086i
$982$	1990.98	+	1990.98i	2.02748	+	2.02748i
$983$	27.4153	−	4.34216i	0.0278895	−	0.00441726i	−0.142474	−	0.989799i	$-0.545506\pi$
$983$	27.4153	−	4.34216i	0.0278895	−	0.00441726i	0.170364	+	0.985381i	$0.445506\pi$
$984$	2169.34	+	704.861i	2.20461	+	0.716322i
$985$	−425.222	−	1490.64i	−0.431697	−	1.51334i
$986$	−114.427	−	352.169i	−0.116052	−	0.357170i
$987$	−903.623	+	460.419i	−0.915525	+	0.466483i
$988$	−53.8076	−	105.603i	−0.0544612	−	0.106886i
$989$	1220.93	−	396.704i	1.23451	−	0.401116i
$990$	−6.72199	+	185.208i	−0.00678988	+	0.187078i
$991$	347.945	−	1070.87i	0.351105	−	1.08059i	−0.607128	−	0.794604i	$-0.707679\pi$
$991$	347.945	−	1070.87i	0.351105	−	1.08059i	0.958233	−	0.285987i	$-0.0923215\pi$
$992$	974.606	+	6153.42i	0.982466	+	6.20304i
$993$	82.9602	−	82.9602i	0.0835450	−	0.0835450i
$994$	1037.80	−	1428.40i	1.04406	−	1.43703i
$995$	−317.639	+	147.588i	−0.319236	+	0.148329i
$996$	1646.54	−	1196.28i	1.65316	−	1.20109i
$997$	1239.20	+	196.269i	1.24292	+	0.196860i	0.743049	−	0.669237i	$-0.233379\pi$
$997$	1239.20	+	196.269i	1.24292	+	0.196860i	0.499876	+	0.866097i	$0.333379\pi$
$998$	−1085.69	−	553.185i	−1.08786	−	0.554294i
$999$			79.8580i			0.0799379i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	75.3.k.a.67.10	yes	80
3.2	odd	2		225.3.r.b.217.1		80
5.2	odd	4		375.3.k.b.268.10		80
5.3	odd	4		375.3.k.c.268.1		80
5.4	even	2		375.3.k.a.232.1		80
25.3	odd	20	inner	75.3.k.a.28.10	✓	80
25.4	even	10		375.3.k.b.7.10		80
25.21	even	5		375.3.k.c.7.1		80
25.22	odd	20		375.3.k.a.118.1		80
75.53	even	20		225.3.r.b.28.1		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.3.k.a.28.10	✓	80	25.3	odd	20	inner
75.3.k.a.67.10	yes	80	1.1	even	1	trivial
225.3.r.b.28.1		80	75.53	even	20
225.3.r.b.217.1		80	3.2	odd	2
375.3.k.a.118.1		80	25.22	odd	20
375.3.k.a.232.1		80	5.4	even	2
375.3.k.b.7.10		80	25.4	even	10
375.3.k.b.268.10		80	5.2	odd	4
375.3.k.c.7.1		80	25.21	even	5
375.3.k.c.268.1		80	5.3	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:	\( N \)	\(=\)	\( 75 = 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	75.k (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.73350 - 3.40219i) q^{2} +(0.270952 - 1.71073i) q^{3} +(-6.21871 - 8.55932i) q^{4} +(2.10687 + 4.53443i) q^{5} +(-5.35052 - 3.88738i) q^{6} +(7.30480 + 7.30480i) q^{7} +(-24.8151 + 3.93033i) q^{8} +(-2.85317 - 0.927051i) q^{9} +O(q^{10})\)	\(q+(1.73350 - 3.40219i) q^{2} +(0.270952 - 1.71073i) q^{3} +(-6.21871 - 8.55932i) q^{4} +(2.10687 + 4.53443i) q^{5} +(-5.35052 - 3.88738i) q^{6} +(7.30480 + 7.30480i) q^{7} +(-24.8151 + 3.93033i) q^{8} +(-2.85317 - 0.927051i) q^{9} +(19.0793 + 0.692468i) q^{10} +(-0.999905 - 3.07739i) q^{11} +(-16.3276 + 8.31934i) q^{12} +(-0.777742 - 1.52640i) q^{13} +(37.5152 - 12.1894i) q^{14} +(8.32804 - 2.37567i) q^{15} +(-16.5679 + 50.9907i) q^{16} +(-1.46946 - 9.27780i) q^{17} +(-8.09997 + 8.09997i) q^{18} +(-3.84366 + 5.29035i) q^{19} +(25.7096 - 46.2317i) q^{20} +(14.4758 - 10.5173i) q^{21} +(-12.2032 - 1.93280i) q^{22} +(-17.2472 - 8.78787i) q^{23} +43.5169i q^{24} +(-16.1222 + 19.1070i) q^{25} -6.54133 q^{26} +(-2.35900 + 4.62981i) q^{27} +(17.0977 - 107.951i) q^{28} +(6.06822 + 8.35219i) q^{29} +(6.35420 - 32.4518i) q^{30} +(48.3606 + 35.1360i) q^{31} +(73.6966 + 73.6966i) q^{32} +(-5.53550 + 0.876737i) q^{33} +(-34.1121 - 11.0837i) q^{34} +(-17.7328 + 48.5134i) q^{35} +(9.80811 + 30.1863i) q^{36} +(13.6936 - 6.97723i) q^{37} +(11.3358 + 22.2477i) q^{38} +(-2.82199 + 0.916921i) q^{39} +(-70.1042 - 104.242i) q^{40} +(16.1974 - 49.8505i) q^{41} +(-10.6879 - 67.4810i) q^{42} +(-46.8956 + 46.8956i) q^{43} +(-20.1223 + 27.6959i) q^{44} +(-1.80761 - 14.8907i) q^{45} +(-59.7960 + 43.4443i) q^{46} +(-55.9812 - 8.86655i) q^{47} +(82.7420 + 42.1591i) q^{48} +57.7202i q^{49} +(37.0576 + 87.9726i) q^{50} -16.2699 q^{51} +(-8.22843 + 16.1492i) q^{52} +(1.09150 - 6.89148i) q^{53} +(11.6621 + 16.0515i) q^{54} +(11.8476 - 11.0177i) q^{55} +(-209.980 - 152.559i) q^{56} +(8.00889 + 8.00889i) q^{57} +(38.9350 - 6.16670i) q^{58} +(-40.4470 - 13.1420i) q^{59} +(-72.1238 - 56.5088i) q^{60} +(-24.6290 - 75.8002i) q^{61} +(203.373 - 103.623i) q^{62} +(-14.0699 - 27.6138i) q^{63} +(174.520 - 56.7051i) q^{64} +(5.28278 - 6.74256i) q^{65} +(-6.61297 + 20.3526i) q^{66} +(-1.30971 - 8.26917i) q^{67} +(-70.2736 + 70.2736i) q^{68} +(-19.7068 + 27.1241i) q^{69} +(134.312 + 144.429i) q^{70} +(36.2118 - 26.3094i) q^{71} +(74.4454 + 11.7910i) q^{72} +(11.4699 + 5.84422i) q^{73} -58.6832i q^{74} +(28.3184 + 32.7577i) q^{75} +69.1845 q^{76} +(15.1756 - 29.7838i) q^{77} +(-1.77239 + 11.1904i) q^{78} +(31.0028 + 42.6717i) q^{79} +(-266.120 + 32.3049i) q^{80} +(7.28115 + 5.29007i) q^{81} +(-141.523 - 141.523i) q^{82} +(-109.697 + 17.3742i) q^{83} +(-180.041 - 58.4989i) q^{84} +(38.9736 - 26.2103i) q^{85} +(78.2540 + 240.841i) q^{86} +(15.9325 - 8.11802i) q^{87} +(36.9080 + 72.4359i) q^{88} +(-2.41881 + 0.785920i) q^{89} +(-53.7944 - 19.6632i) q^{90} +(5.46883 - 16.8313i) q^{91} +(32.0369 + 202.273i) q^{92} +(73.2116 - 73.2116i) q^{93} +(-127.209 + 175.088i) q^{94} +(-32.0869 - 6.28274i) q^{95} +(146.043 - 106.106i) q^{96} +(17.4484 + 2.76356i) q^{97} +(196.375 + 100.058i) q^{98} +9.70728i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8}+O(q^{10}) \) 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8	\( 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8} - 4 q^{10} - 24 q^{12} + 32 q^{13} - 24 q^{15} + 80 q^{16} - 100 q^{17} - 48 q^{18} - 100 q^{19} - 244 q^{20} - 100 q^{22} - 96 q^{23} - 16 q^{25} - 40 q^{26} + 196 q^{28} + 200 q^{29} + 264 q^{30} + 636 q^{32} + 216 q^{33} + 100 q^{34} + 260 q^{35} - 120 q^{36} - 184 q^{37} - 564 q^{38} - 948 q^{40} + 160 q^{41} - 12 q^{42} - 472 q^{43} - 700 q^{44} - 36 q^{45} - 288 q^{47} - 48 q^{48} + 16 q^{50} + 620 q^{52} + 304 q^{53} + 604 q^{55} + 72 q^{57} + 1272 q^{58} + 800 q^{59} + 84 q^{60} - 240 q^{61} + 1212 q^{62} - 12 q^{63} + 100 q^{64} + 272 q^{65} - 80 q^{67} + 104 q^{68} - 260 q^{70} + 36 q^{72} - 116 q^{73} - 24 q^{75} - 88 q^{77} - 120 q^{78} + 200 q^{79} - 164 q^{80} + 180 q^{81} - 168 q^{82} - 1264 q^{83} - 1200 q^{84} - 212 q^{85} - 876 q^{87} - 212 q^{88} - 1500 q^{89} - 444 q^{90} - 1504 q^{92} - 648 q^{93} - 200 q^{94} - 784 q^{95} + 60 q^{96} - 260 q^{97} - 92 q^{98}+O(q^{100}) \) 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8 - 4 * q^10 - 24 * q^12 + 32 * q^13 - 24 * q^15 + 80 * q^16 - 100 * q^17 - 48 * q^18 - 100 * q^19 - 244 * q^20 - 100 * q^22 - 96 * q^23 - 16 * q^25 - 40 * q^26 + 196 * q^28 + 200 * q^29 + 264 * q^30 + 636 * q^32 + 216 * q^33 + 100 * q^34 + 260 * q^35 - 120 * q^36 - 184 * q^37 - 564 * q^38 - 948 * q^40 + 160 * q^41 - 12 * q^42 - 472 * q^43 - 700 * q^44 - 36 * q^45 - 288 * q^47 - 48 * q^48 + 16 * q^50 + 620 * q^52 + 304 * q^53 + 604 * q^55 + 72 * q^57 + 1272 * q^58 + 800 * q^59 + 84 * q^60 - 240 * q^61 + 1212 * q^62 - 12 * q^63 + 100 * q^64 + 272 * q^65 - 80 * q^67 + 104 * q^68 - 260 * q^70 + 36 * q^72 - 116 * q^73 - 24 * q^75 - 88 * q^77 - 120 * q^78 + 200 * q^79 - 164 * q^80 + 180 * q^81 - 168 * q^82 - 1264 * q^83 - 1200 * q^84 - 212 * q^85 - 876 * q^87 - 212 * q^88 - 1500 * q^89 - 444 * q^90 - 1504 * q^92 - 648 * q^93 - 200 * q^94 - 784 * q^95 + 60 * q^96 - 260 * q^97 - 92 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more