LMFDB - Embedded newform 75.3.k.a.13.7

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			13.7
Character	$\chi$	$=$	75.13
Dual form			75.3.k.a.52.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.47604 - 0.392165i) q^{2} +(-0.786335 + 1.54327i) q^{3} +(2.17273 - 0.705963i) q^{4} +(4.85676 + 1.18822i) q^{5} +(-1.34178 + 4.12956i) q^{6} +(3.46290 - 3.46290i) q^{7} +(-3.83175 + 1.95238i) q^{8} +(-1.76336 - 2.42705i) q^{9} +O(q^{10})$	\(q+(2.47604 - 0.392165i) q^{2} +(-0.786335 + 1.54327i) q^{3} +(2.17273 - 0.705963i) q^{4} +(4.85676 + 1.18822i) q^{5} +(-1.34178 + 4.12956i) q^{6} +(3.46290 - 3.46290i) q^{7} +(-3.83175 + 1.95238i) q^{8} +(-1.76336 - 2.42705i) q^{9} +(12.4915 + 1.03743i) q^{10} +(-3.54820 - 2.57791i) q^{11} +(-0.619003 + 3.90823i) q^{12} +(-7.47687 - 1.18422i) q^{13} +(7.21623 - 9.93229i) q^{14} +(-5.65279 + 6.56094i) q^{15} +(-16.1148 + 11.7081i) q^{16} +(-7.64887 - 15.0117i) q^{17} +(-5.31794 - 5.31794i) q^{18} +(-12.3474 - 4.01191i) q^{19} +(11.3913 - 0.847003i) q^{20} +(2.62119 + 8.06718i) q^{21} +(-9.79642 - 4.99153i) q^{22} +(0.423071 + 2.67116i) q^{23} -7.44864i q^{24} +(22.1762 + 11.5418i) q^{25} -18.9774 q^{26} +(5.13218 - 0.812857i) q^{27} +(5.07927 - 9.96863i) q^{28} +(47.5258 - 15.4421i) q^{29} +(-11.4235 + 18.4620i) q^{30} +(-14.9686 + 46.0686i) q^{31} +(-23.1458 + 23.1458i) q^{32} +(6.76848 - 3.44871i) q^{33} +(-24.8259 - 34.1700i) q^{34} +(20.9332 - 12.7038i) q^{35} +(-5.54470 - 4.02846i) q^{36} +(-3.80667 + 24.0344i) q^{37} +(-32.1459 - 5.09142i) q^{38} +(7.70689 - 10.6076i) q^{39} +(-20.9298 + 4.92924i) q^{40} +(55.5143 - 40.3335i) q^{41} +(9.65382 + 18.9467i) q^{42} +(-5.02079 - 5.02079i) q^{43} +(-9.52918 - 3.09622i) q^{44} +(-5.68032 - 13.8829i) q^{45} +(2.09508 + 6.44798i) q^{46} +(-63.1847 - 32.1942i) q^{47} +(-5.39711 - 34.0760i) q^{48} +25.0167i q^{49} +(59.4355 + 19.8812i) q^{50} +29.1817 q^{51} +(-17.0812 + 2.70540i) q^{52} +(-3.67852 + 7.21950i) q^{53} +(12.3887 - 4.02533i) q^{54} +(-14.1696 - 16.7364i) q^{55} +(-6.50809 + 20.0299i) q^{56} +(15.9007 - 15.9007i) q^{57} +(111.620 - 56.8731i) q^{58} +(62.2613 + 85.6954i) q^{59} +(-7.65020 + 18.2458i) q^{60} +(88.6985 + 64.4432i) q^{61} +(-18.9963 + 119.938i) q^{62} +(-14.5110 - 2.29831i) q^{63} +(-1.40038 + 1.92746i) q^{64} +(-34.9062 - 14.6357i) q^{65} +(15.4065 - 11.1935i) q^{66} +(-32.6932 - 64.1640i) q^{67} +(-27.2167 - 27.2167i) q^{68} +(-4.45500 - 1.44752i) q^{69} +(46.8493 - 39.6643i) q^{70} +(-23.1076 - 71.1180i) q^{71} +(11.4953 + 5.85713i) q^{72} +(1.34047 + 8.46341i) q^{73} +61.0028i q^{74} +(-35.2501 + 25.1482i) q^{75} -29.6598 q^{76} +(-21.2141 + 3.35998i) q^{77} +(14.9226 - 29.2872i) q^{78} +(3.41089 - 1.10827i) q^{79} +(-92.1778 + 37.7155i) q^{80} +(-2.78115 + 8.55951i) q^{81} +(121.638 - 121.638i) q^{82} +(-97.0960 + 49.4729i) q^{83} +(11.3903 + 15.6773i) q^{84} +(-19.3114 - 81.9970i) q^{85} +(-14.4006 - 10.4627i) q^{86} +(-13.5399 + 85.4877i) q^{87} +(18.6289 + 2.95052i) q^{88} +(-5.41469 + 7.45268i) q^{89} +(-19.5090 - 32.1468i) q^{90} +(-29.9925 + 21.7908i) q^{91} +(2.80496 + 5.50505i) q^{92} +(-59.3259 - 59.3259i) q^{93} +(-169.073 - 54.9351i) q^{94} +(-55.2013 - 34.1564i) q^{95} +(-17.5198 - 53.9205i) q^{96} +(-86.4301 - 44.0383i) q^{97} +(9.81067 + 61.9421i) q^{98} +13.1574i 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 $\left(\mathbb{Z}/75\mathbb{Z}\right)^\times$.

$n$	$26$	$52$
$\chi(n)$	$1$	$e\left(\frac{19}{20}\right)$

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 $

$2$	2.47604	−	0.392165i	1.23802	−	0.196083i	0.497109	−	0.867688i	$-0.334395\pi$
$2$	2.47604	−	0.392165i	1.23802	−	0.196083i	0.740909	+	0.671606i	$0.234395\pi$
$3$	−0.786335	+	1.54327i	−0.262112	+	0.514423i
$3$	−0.786335	+	1.54327i	−0.262112	+	0.514423i
$4$	2.17273	−	0.705963i	0.543183	−	0.176491i
$5$	4.85676	+	1.18822i	0.971352	+	0.237645i
$5$	4.85676	+	1.18822i	0.971352	+	0.237645i
$6$	−1.34178	+	4.12956i	−0.223629	+	0.688260i
$7$	3.46290	−	3.46290i	0.494700	−	0.494700i	−0.415083	−	0.909783i	$-0.636248\pi$
$7$	3.46290	−	3.46290i	0.494700	−	0.494700i	0.909783	+	0.415083i	$0.136248\pi$
$8$	−3.83175	+	1.95238i	−0.478969	+	0.244047i
$9$	−1.76336	−	2.42705i	−0.195928	−	0.269672i
$10$	12.4915	+	1.03743i	1.24915	+	0.103743i
$11$	−3.54820	−	2.57791i	−0.322563	−	0.234356i	0.414705	−	0.909956i	$-0.363885\pi$
$11$	−3.54820	−	2.57791i	−0.322563	−	0.234356i	−0.737268	+	0.675600i	$0.763885\pi$
$12$	−0.619003	+	3.90823i	−0.0515836	+	0.325686i
$13$	−7.47687	−	1.18422i	−0.575144	−	0.0910938i	−0.137915	−	0.990444i	$-0.544040\pi$
$13$	−7.47687	−	1.18422i	−0.575144	−	0.0910938i	−0.437229	+	0.899350i	$0.644040\pi$
$14$	7.21623	−	9.93229i	0.515445	−	0.709449i
$15$	−5.65279	+	6.56094i	−0.376852	+	0.437396i
$16$	−16.1148	+	11.7081i	−1.00718	+	0.731757i
$17$	−7.64887	−	15.0117i	−0.449933	−	0.883044i	−0.998886	−	0.0471903i	$-0.984973\pi$
$17$	−7.64887	−	15.0117i	−0.449933	−	0.883044i	0.548953	−	0.835853i	$-0.315027\pi$
$18$	−5.31794	−	5.31794i	−0.295441	−	0.295441i
$19$	−12.3474	−	4.01191i	−0.649863	−	0.211153i	−0.0345094	−	0.999404i	$-0.510987\pi$
$19$	−12.3474	−	4.01191i	−0.649863	−	0.211153i	−0.615354	+	0.788251i	$0.710987\pi$
$20$	11.3913	−	0.847003i	0.569564	−	0.0423502i
$21$	2.62119	+	8.06718i	0.124818	+	0.384152i
$22$	−9.79642	−	4.99153i	−0.445292	−	0.226888i
$23$	0.423071	+	2.67116i	0.0183944	+	0.116138i	0.995177	−	0.0980951i	$-0.0312749\pi$
$23$	0.423071	+	2.67116i	0.0183944	+	0.116138i	−0.976783	+	0.214233i	$0.931275\pi$
$24$		−	7.44864i		−	0.310360i
$25$	22.1762	+	11.5418i	0.887050	+	0.461673i
$26$	−18.9774			−0.729900
$27$	5.13218	−	0.812857i	0.190081	−	0.0301058i
$28$	5.07927	−	9.96863i	0.181402	−	0.356022i
$29$	47.5258	−	15.4421i	1.63882	−	0.532485i	0.662546	−	0.749021i	$-0.269476\pi$
$29$	47.5258	−	15.4421i	1.63882	−	0.532485i	0.976275	+	0.216536i	$0.0694758\pi$
$30$	−11.4235	+	18.4620i	−0.380784	+	0.615399i
$31$	−14.9686	+	46.0686i	−0.482858	+	1.48608i	0.352202	+	0.935924i	$0.385433\pi$
$31$	−14.9686	+	46.0686i	−0.482858	+	1.48608i	−0.835059	+	0.550160i	$0.814567\pi$
$32$	−23.1458	+	23.1458i	−0.723306	+	0.723306i
$33$	6.76848	−	3.44871i	0.205106	−	0.104507i
$34$	−24.8259	−	34.1700i	−0.730175	−	1.00500i
$35$	20.9332	−	12.7038i	0.598091	−	0.362965i
$36$	−5.54470	−	4.02846i	−0.154020	−	0.111902i
$37$	−3.80667	+	24.0344i	−0.102883	+	0.649578i	0.881318	+	0.472523i	$0.156657\pi$
$37$	−3.80667	+	24.0344i	−0.102883	+	0.649578i	−0.984201	+	0.177054i	$0.943343\pi$
$38$	−32.1459	−	5.09142i	−0.845946	−	0.133985i
$39$	7.70689	−	10.6076i	0.197613	−	0.271990i
$40$	−20.9298	+	4.92924i	−0.523244	+	0.123231i
$41$	55.5143	−	40.3335i	1.35401	−	0.983744i	0.355207	−	0.934788i	$-0.384410\pi$
$41$	55.5143	−	40.3335i	1.35401	−	0.983744i	0.998801	−	0.0489567i	$-0.0155896\pi$
$42$	9.65382	+	18.9467i	0.229853	+	0.451112i
$43$	−5.02079	−	5.02079i	−0.116763	−	0.116763i	0.646311	−	0.763074i	$-0.276311\pi$
$43$	−5.02079	−	5.02079i	−0.116763	−	0.116763i	−0.763074	+	0.646311i	$0.776311\pi$
$44$	−9.52918	−	3.09622i	−0.216572	−	0.0703686i
$45$	−5.68032	−	13.8829i	−0.126229	−	0.308508i
$46$	2.09508	+	6.44798i	0.0455451	+	0.140174i
$47$	−63.1847	−	32.1942i	−1.34435	−	0.684983i	−0.374172	−	0.927359i	$-0.622073\pi$
$47$	−63.1847	−	32.1942i	−1.34435	−	0.684983i	−0.970182	+	0.242376i	$0.922073\pi$
$48$	−5.39711	−	34.0760i	−0.112440	−	0.709917i
$49$			25.0167i			0.510544i
$50$	59.4355	+	19.8812i	1.18871	+	0.397625i
$51$	29.1817			0.572191
$52$	−17.0812	+	2.70540i	−0.328485	+	0.0520270i
$53$	−3.67852	+	7.21950i	−0.0694060	+	0.136217i	−0.923103	−	0.384554i	$-0.874355\pi$
$53$	−3.67852	+	7.21950i	−0.0694060	+	0.136217i	0.853697	+	0.520771i	$0.174355\pi$
$54$	12.3887	−	4.02533i	0.229420	−	0.0745431i
$55$	−14.1696	−	16.7364i	−0.257629	−	0.304298i
$56$	−6.50809	+	20.0299i	−0.116216	+	0.357676i
$57$	15.9007	−	15.9007i	0.278959	−	0.278959i
$58$	111.620	−	56.8731i	1.92448	−	0.980571i
$59$	62.2613	+	85.6954i	1.05528	+	1.45246i	0.884143	+	0.467216i	$0.154743\pi$
$59$	62.2613	+	85.6954i	1.05528	+	1.45246i	0.171133	+	0.985248i	$0.445257\pi$
$60$	−7.65020	+	18.2458i	−0.127503	+	0.304097i
$61$	88.6985	+	64.4432i	1.45407	+	1.05645i	0.984858	+	0.173363i	$0.0554634\pi$
$61$	88.6985	+	64.4432i	1.45407	+	1.05645i	0.469216	+	0.883083i	$0.344537\pi$
$62$	−18.9963	+	119.938i	−0.306391	+	1.93448i
$63$	−14.5110	−	2.29831i	−0.230333	−	0.0364811i
$64$	−1.40038	+	1.92746i	−0.0218809	+	0.0301165i
$65$	−34.9062	−	14.6357i	−0.537019	−	0.225164i
$66$	15.4065	−	11.1935i	0.233432	−	0.169599i
$67$	−32.6932	−	64.1640i	−0.487958	−	0.957671i	−0.995384	−	0.0959756i	$-0.969403\pi$
$67$	−32.6932	−	64.1640i	−0.487958	−	0.957671i	0.507426	−	0.861695i	$-0.330597\pi$
$68$	−27.2167	−	27.2167i	−0.400245	−	0.400245i
$69$	−4.45500	−	1.44752i	−0.0645652	−	0.0209785i
$70$	46.8493	−	39.6643i	0.669276	−	0.566632i
$71$	−23.1076	−	71.1180i	−0.325460	−	1.00166i	−0.971233	−	0.238132i	$-0.923465\pi$
$71$	−23.1076	−	71.1180i	−0.325460	−	1.00166i	0.645773	−	0.763529i	$-0.276535\pi$
$72$	11.4953	+	5.85713i	0.159656	+	0.0813490i
$73$	1.34047	+	8.46341i	0.0183626	+	0.115937i	0.995167	−	0.0981962i	$-0.0313073\pi$
$73$	1.34047	+	8.46341i	0.0183626	+	0.115937i	−0.976804	+	0.214133i	$0.931307\pi$
$74$			61.0028i			0.824362i
$75$	−35.2501	+	25.1482i	−0.470001	+	0.335309i
$76$	−29.6598			−0.390261
$77$	−21.2141	+	3.35998i	−0.275508	+	0.0436362i
$78$	14.9226	−	29.2872i	0.191315	−	0.375477i
$79$	3.41089	−	1.10827i	0.0431758	−	0.0140287i	−0.287349	−	0.957826i	$-0.592774\pi$
$79$	3.41089	−	1.10827i	0.0431758	−	0.0140287i	0.330525	+	0.943797i	$0.392774\pi$
$80$	−92.1778	+	37.7155i	−1.15222	+	0.471444i
$81$	−2.78115	+	8.55951i	−0.0343352	+	0.105673i
$82$	121.638	−	121.638i	1.48339	−	1.48339i
$83$	−97.0960	+	49.4729i	−1.16983	+	0.596059i	−0.927386	−	0.374106i	$-0.877950\pi$
$83$	−97.0960	+	49.4729i	−1.16983	+	0.596059i	−0.242446	+	0.970165i	$0.577950\pi$
$84$	11.3903	+	15.6773i	0.135598	+	0.186635i
$85$	−19.3114	−	81.9970i	−0.227193	−	0.964671i
$86$	−14.4006	−	10.4627i	−0.167449	−	0.121659i
$87$	−13.5399	+	85.4877i	−0.155631	+	0.982618i
$88$	18.6289	+	2.95052i	0.211692	+	0.0335287i
$89$	−5.41469	+	7.45268i	−0.0608392	+	0.0837380i	−0.838352	−	0.545129i	$-0.816481\pi$
$89$	−5.41469	+	7.45268i	−0.0608392	+	0.0837380i	0.777513	+	0.628867i	$0.216481\pi$
$90$	−19.5090	−	32.1468i	−0.216767	−	0.357187i
$91$	−29.9925	+	21.7908i	−0.329588	+	0.239459i
$92$	2.80496	+	5.50505i	0.0304887	+	0.0598375i
$93$	−59.3259	−	59.3259i	−0.637913	−	0.637913i
$94$	−169.073	−	54.9351i	−1.79865	−	0.584416i
$95$	−55.2013	−	34.1564i	−0.581067	−	0.359541i
$96$	−17.5198	−	53.9205i	−0.182498	−	0.561672i
$97$	−86.4301	−	44.0383i	−0.891032	−	0.454003i	−0.0523522	−	0.998629i	$-0.516672\pi$
$97$	−86.4301	−	44.0383i	−0.891032	−	0.454003i	−0.838679	+	0.544625i	$0.816672\pi$
$98$	9.81067	+	61.9421i	0.100109	+	0.632062i
$99$			13.1574i			0.132903i
$100$	56.3311	+	9.42169i	0.563311	+	0.0942169i
$101$	−96.2210			−0.952683			−0.476342	−	0.879260i	$-0.658037\pi$
$101$	−96.2210			−0.952683			−0.476342	+	0.879260i	$0.658037\pi$
$102$	72.2550	−	11.4441i	0.708382	−	0.112197i
$103$	−73.8695	+	144.977i	−0.717179	+	1.40754i	0.187852	+	0.982197i	$0.439848\pi$
$103$	−73.8695	+	144.977i	−0.717179	+	1.40754i	−0.905031	+	0.425346i	$0.860152\pi$
$104$	30.9616	−	10.0600i	0.297707	−	0.0967309i
$105$	3.14486	+	42.2949i	0.0299510	+	0.402809i
$106$	−6.27690	+	19.3183i	−0.0592160	+	0.182248i
$107$	117.558	−	117.558i	1.09867	−	1.09867i	0.104103	−	0.994566i	$-0.466803\pi$
$107$	117.558	−	117.558i	1.09867	−	1.09867i	0.994566	−	0.104103i	$-0.0331973\pi$
$108$	10.5770	−	5.38925i	0.0979351	−	0.0499004i
$109$	−5.85128	−	8.05360i	−0.0536815	−	0.0738862i	0.781332	−	0.624115i	$-0.214540\pi$
$109$	−5.85128	−	8.05360i	−0.0536815	−	0.0738862i	−0.835014	+	0.550229i	$0.814540\pi$
$110$	−41.6478	−	35.8830i	−0.378617	−	0.326209i
$111$	−34.0982	−	24.7738i	−0.307191	−	0.223187i
$112$	−15.2600	+	96.3481i	−0.136250	+	0.860251i
$113$	117.084	+	18.5443i	1.03614	+	0.164109i	0.651259	−	0.758855i	$-0.274241\pi$
$113$	117.084	+	18.5443i	1.03614	+	0.164109i	0.384885	+	0.922965i	$0.374241\pi$
$114$	33.1349	−	45.6063i	0.290657	−	0.400055i
$115$	−1.11919	+	13.4759i	−0.00973205	+	0.117182i
$116$	92.3592	−	67.1029i	0.796200	−	0.578473i
$117$	10.3102	+	20.2349i	0.0881215	+	0.172948i
$118$	187.768	+	187.768i	1.59125	+	1.59125i
$119$	−78.4714	−	25.4969i	−0.659424	−	0.214260i
$120$	8.85065	−	36.1763i	0.0737554	−	0.301469i
$121$	−31.4470	−	96.7839i	−0.259893	−	0.799867i
$122$	244.893	+	124.779i	2.00732	+	1.02278i
$123$	18.5926	+	117.389i	0.151159	+	0.954383i
$124$			110.662i			0.892435i
$125$	93.9905	+	82.4063i	0.751924	+	0.659250i
$126$	−36.8310			−0.292309
$127$	89.5805	−	14.1882i	0.705359	−	0.111718i	0.206558	−	0.978434i	$-0.433774\pi$
$127$	89.5805	−	14.1882i	0.705359	−	0.111718i	0.498801	+	0.866717i	$0.333774\pi$
$128$	56.7306	−	111.340i	0.443208	−	0.869844i
$129$	11.6964	−	3.80041i	0.0906702	−	0.0294605i
$130$	−92.1687	−	22.5494i	−0.708990	−	0.173457i
$131$	17.7204	−	54.5378i	0.135270	−	0.416319i	−0.860362	−	0.509684i	$-0.829762\pi$
$131$	17.7204	−	54.5378i	0.135270	−	0.416319i	0.995632	+	0.0933650i	$0.0297623\pi$
$132$	12.2714	−	12.2714i	0.0929653	−	0.0929653i
$133$	−56.6507	+	28.8650i	−0.425945	+	0.217030i
$134$	−106.112	−	146.051i	−0.791883	−	1.08993i
$135$	25.8916	+	2.15032i	0.191790	+	0.0159283i
$136$	58.6171	+	42.5878i	0.431008	+	0.313146i
$137$	8.16216	−	51.5338i	0.0595778	−	0.376159i	−0.939827	−	0.341652i	$-0.889014\pi$
$137$	8.16216	−	51.5338i	0.0595778	−	0.376159i	0.999404	−	0.0345077i	$-0.0109863\pi$
$138$	−11.5984	−	1.83701i	−0.0840464	−	0.0133116i
$139$	−43.5661	+	59.9636i	−0.313425	+	0.431393i	−0.936446	−	0.350813i	$-0.885905\pi$
$139$	−43.5661	+	59.9636i	−0.313425	+	0.431393i	0.623020	+	0.782206i	$0.285905\pi$
$140$	36.5137	−	42.3799i	0.260812	−	0.302714i
$141$	99.3686	−	72.1955i	0.704742	−	0.512025i
$142$	−85.1053	−	167.029i	−0.599333	−	1.17626i
$143$	23.4766	+	23.4766i	0.164172	+	0.164172i
$144$	56.8324	+	18.4660i	0.394669	+	0.128236i
$145$	249.170	−	18.5272i	1.71841	−	0.127774i
$146$	6.63811	+	20.4300i	0.0454665	+	0.139932i
$147$	−38.6074	−	19.6715i	−0.262635	−	0.133819i
$148$	8.69651	+	54.9076i	0.0587602	+	0.370997i
$149$			41.2207i			0.276649i	0.990387	+	0.138324i	$0.0441717\pi$
$149$			41.2207i			0.276649i	−0.990387	+	0.138324i	$0.955828\pi$
$150$	−77.4183	+	76.0916i	−0.516122	+	0.507277i
$151$	−116.938			−0.774422			−0.387211	−	0.921991i	$-0.626562\pi$
$151$	−116.938			−0.774422			−0.387211	+	0.921991i	$0.626562\pi$
$152$	55.1449	−	8.73410i	0.362796	−	0.0574612i
$153$	−22.9466	+	45.0352i	−0.149978	+	0.294348i
$154$	−51.2092	+	16.6389i	−0.332527	+	0.108045i
$155$	−127.439	+	205.958i	−0.822185	+	1.32876i
$156$	9.25640	−	28.4883i	0.0593359	−	0.182617i
$157$	57.1066	−	57.1066i	0.363736	−	0.363736i	−0.501450	−	0.865186i	$-0.667200\pi$
$157$	57.1066	−	57.1066i	0.363736	−	0.363736i	0.865186	+	0.501450i	$0.167200\pi$
$158$	8.01086	−	4.08174i	0.0507017	−	0.0258338i
$159$	−8.24908	−	11.3539i	−0.0518810	−	0.0714080i
$160$	−139.916	+	84.9112i	−0.874475	+	0.530695i
$161$	10.7150	+	7.78492i	0.0665529	+	0.0483535i
$162$	−3.52949	+	22.2843i	−0.0217870	+	0.137558i
$163$	55.3969	+	8.77401i	0.339859	+	0.0538283i	0.324031	−	0.946046i	$-0.394962\pi$
$163$	55.3969	+	8.77401i	0.339859	+	0.0538283i	0.0158275	+	0.999875i	$0.494962\pi$
$164$	92.1437	−	126.825i	0.561852	−	0.773323i
$165$	36.9707	−	8.70711i	0.224065	−	0.0527704i
$166$	−221.012	+	160.574i	−1.33140	+	0.967315i
$167$	−44.9678	−	88.2542i	−0.269268	−	0.528468i	0.716291	−	0.697802i	$-0.245838\pi$
$167$	−44.9678	−	88.2542i	−0.269268	−	0.528468i	−0.985559	+	0.169334i	$0.945838\pi$
$168$	−25.7939	−	25.7939i	−0.153535	−	0.153535i
$169$	−106.227	−	34.5154i	−0.628564	−	0.204233i
$170$	−79.9721	−	195.454i	−0.470424	−	1.14973i
$171$	12.0357	+	37.0422i	0.0703845	+	0.216621i
$172$	−14.4533	−	7.36433i	−0.0840309	−	0.0428159i
$173$	−18.2445	−	115.191i	−0.105459	−	0.665844i	−0.982617	−	0.185642i	$-0.940564\pi$
$173$	−18.2445	−	115.191i	−0.105459	−	0.665844i	0.877158	−	0.480202i	$-0.159436\pi$
$174$			216.980i			1.24701i
$175$	116.762	−	36.8259i	0.667213	−	0.210434i
$176$	87.3611			0.496370
$177$	−181.209	+	28.7007i	−1.02378	+	0.162151i
$178$	−10.4843	+	20.5766i	−0.0589004	+	0.115599i
$179$	108.889	−	35.3800i	0.608316	−	0.197654i	0.0113701	−	0.999935i	$-0.496381\pi$
$179$	108.889	−	35.3800i	0.608316	−	0.197654i	0.596946	+	0.802282i	$0.296381\pi$
$180$	−22.1426	−	26.1536i	−0.123014	−	0.145298i
$181$	102.697	−	316.069i	0.567387	−	1.74624i	−0.0933643	−	0.995632i	$-0.529762\pi$
$181$	102.697	−	316.069i	0.567387	−	1.74624i	0.660751	−	0.750605i	$-0.270238\pi$
$182$	−65.7168	+	65.7168i	−0.361082	+	0.361082i
$183$	−169.200	+	86.2117i	−0.924590	+	0.471102i
$184$	−6.83622	−	9.40924i	−0.0371533	−	0.0511372i
$185$	−47.0463	+	112.206i	−0.254304	+	0.606519i
$186$	−170.159	−	123.627i	−0.914831	−	0.664664i
$187$	−11.5593	+	72.9827i	−0.0618146	+	0.390282i
$188$	−160.011	−	25.3433i	−0.851123	−	0.134805i
$189$	14.9574	−	20.5871i	0.0791396	−	0.108926i
$190$	−150.075	−	62.9243i	−0.789870	−	0.331181i
$191$	117.568	−	85.4185i	0.615542	−	0.447217i	−0.235820	−	0.971797i	$-0.575777\pi$
$191$	117.568	−	85.4185i	0.615542	−	0.447217i	0.851361	+	0.524580i	$0.175777\pi$
$192$	−1.87342	−	3.67679i	−0.00975738	−	0.0191499i
$193$	−71.2914	−	71.2914i	−0.369386	−	0.369386i	0.497868	−	0.867253i	$-0.334117\pi$
$193$	−71.2914	−	71.2914i	−0.369386	−	0.369386i	−0.867253	+	0.497868i	$0.834117\pi$
$194$	−231.274	−	75.1455i	−1.19214	−	0.387348i
$195$	50.0348	−	42.3612i	0.256588	−	0.217237i
$196$	17.6608	+	54.3544i	0.0901063	+	0.277319i
$197$	176.780	+	90.0739i	0.897361	+	0.457228i	0.840909	−	0.541177i	$-0.182021\pi$
$197$	176.780	+	90.0739i	0.897361	+	0.457228i	0.0564520	+	0.998405i	$0.482021\pi$
$198$	5.15989	+	32.5783i	0.0260600	+	0.164537i
$199$			350.176i			1.75968i	0.475270	+	0.879840i	$0.342351\pi$
$199$			350.176i			1.75968i	−0.475270	+	0.879840i	$0.657649\pi$
$200$	−107.508	−	0.929091i	−0.537539	−	0.00464546i
$201$	124.730			0.620547
$202$	−238.247	+	37.7345i	−1.17944	+	0.186805i
$203$	111.103	−	218.051i	0.547304	−	1.07415i
$204$	63.4040	−	20.6012i	0.310804	−	0.100986i
$205$	317.545	−	129.927i	1.54900	−	0.633789i
$206$	−126.048	+	387.937i	−0.611885	+	1.88319i
$207$	5.73703	−	5.73703i	0.0277151	−	0.0277151i
$208$	134.354	−	68.4565i	0.645930	−	0.329118i
$209$	33.4686	+	46.0656i	0.160137	+	0.220410i
$210$	24.3734	+	103.490i	0.116064	+	0.492812i
$211$	115.398	+	83.8416i	0.546910	+	0.397353i	0.826645	−	0.562724i	$-0.190247\pi$
$211$	115.398	+	83.8416i	0.546910	+	0.397353i	−0.279735	+	0.960077i	$0.590247\pi$
$212$	−2.89573	+	18.2829i	−0.0136591	+	0.0862402i
$213$	127.924	+	20.2612i	0.600584	+	0.0951232i
$214$	244.975	−	337.179i	1.14474	−	1.57560i
$215$	−18.4190	−	30.3506i	−0.0856696	−	0.141166i
$216$	−18.0782	+	13.1346i	−0.0836955	+	0.0608084i
$217$	107.696	+	211.366i	0.496296	+	0.974035i
$218$	−17.6463	−	17.6463i	−0.0809464	−	0.0809464i
$219$	−14.1154	−	4.58636i	−0.0644538	−	0.0209423i
$220$	−42.6020	−	26.3604i	−0.193645	−	0.119820i
$221$	39.4124	+	121.299i	0.178336	+	0.548863i
$222$	−94.1437	−	47.9686i	−0.424071	−	0.216075i
$223$	−58.5274	−	369.527i	−0.262455	−	1.65707i	−0.668866	−	0.743383i	$-0.733220\pi$
$223$	−58.5274	−	369.527i	−0.262455	−	1.65707i	0.406411	−	0.913690i	$-0.366780\pi$
$224$			160.303i			0.715639i
$225$	−11.0920	−	74.1752i	−0.0492978	−	0.329668i
$226$	297.177			1.31494
$227$	−143.201	+	22.6808i	−0.630841	+	0.0999154i	−0.463664	−	0.886011i	$-0.653465\pi$
$227$	−143.201	+	22.6808i	−0.630841	+	0.0999154i	−0.167178	+	0.985927i	$0.553465\pi$
$228$	23.3226	−	45.7731i	0.102292	−	0.200759i
$229$	162.555	−	52.8172i	0.709845	−	0.230643i	0.0682303	−	0.997670i	$-0.478265\pi$
$229$	162.555	−	52.8172i	0.709845	−	0.230643i	0.641615	+	0.767027i	$0.278265\pi$
$230$	2.51364	+	33.8057i	0.0109289	+	0.146981i
$231$	11.4960	−	35.3811i	0.0497663	−	0.153165i
$232$	−151.958	+	151.958i	−0.654993	+	0.654993i
$233$	−58.7675	+	29.9435i	−0.252221	+	0.128513i	−0.575531	−	0.817780i	$-0.695204\pi$
$233$	−58.7675	+	29.9435i	−0.252221	+	0.128513i	0.323310	+	0.946293i	$0.395204\pi$
$234$	33.4639	+	46.0591i	0.143008	+	0.196834i
$235$	−268.619	−	231.437i	−1.14306	−	0.984838i
$236$	195.775	+	142.239i	0.829554	+	0.602706i
$237$	−0.971750	+	6.13539i	−0.00410021	+	0.0258877i
$238$	−204.297	−	32.3575i	−0.858391	−	0.135956i
$239$	−64.4008	+	88.6401i	−0.269460	+	0.370879i	−0.922207	−	0.386696i	$-0.873616\pi$
$239$	−64.4008	+	88.6401i	−0.269460	+	0.370879i	0.652748	+	0.757575i	$0.273616\pi$
$240$	14.2775	−	171.912i	0.0594894	−	0.716300i
$241$	−309.769	+	225.060i	−1.28535	+	0.933860i	−0.999700	−	0.0244750i	$-0.992209\pi$
$241$	−309.769	+	225.060i	−1.28535	+	0.933860i	−0.285647	+	0.958335i	$0.592209\pi$
$242$	−115.819	−	227.308i	−0.478592	−	0.939289i
$243$	−11.0227	−	11.0227i	−0.0453609	−	0.0453609i
$244$	238.212	+	77.3999i	0.976281	+	0.317213i
$245$	−29.7254	+	121.500i	−0.121328	+	0.495918i
$246$	92.0719	+	283.368i	0.374276	+	1.15190i
$247$	87.5689	+	44.6186i	0.354530	+	0.180642i
$248$	−32.5872	−	205.748i	−0.131400	−	0.829628i
$249$		−	188.747i		−	0.758022i
$250$	265.041	+	167.181i	1.06016	+	0.668724i
$251$	−99.6152			−0.396873			−0.198437	−	0.980114i	$-0.563586\pi$
$251$	−99.6152			−0.396873			−0.198437	+	0.980114i	$0.563586\pi$
$252$	−33.1509	+	5.25059i	−0.131551	+	0.0208357i
$253$	5.38489	−	10.5685i	0.0212842	−	0.0417725i
$254$	216.240	−	70.2608i	0.851340	−	0.276617i
$255$	141.729	+	34.6744i	0.555799	+	0.135978i
$256$	99.7481	−	306.993i	0.389641	−	1.19919i
$257$	−334.519	+	334.519i	−1.30163	+	1.30163i	−0.374337	+	0.927293i	$0.622130\pi$
$257$	−334.519	+	334.519i	−1.30163	+	1.30163i	−0.927293	+	0.374337i	$0.877870\pi$
$258$	27.4704	−	13.9969i	0.106475	−	0.0542515i
$259$	70.0465	+	96.4108i	0.270450	+	0.372242i
$260$	−86.1741	−	7.15684i	−0.331439	−	0.0275263i
$261$	−121.284	−	88.1177i	−0.464688	−	0.337616i
$262$	22.4885	−	141.987i	0.0858340	−	0.541934i
$263$	346.154	+	54.8254i	1.31618	+	0.208462i	0.774739	−	0.632281i	$-0.217881\pi$
$263$	346.154	+	54.8254i	1.31618	+	0.208462i	0.541436	+	0.840742i	$0.317881\pi$
$264$	−19.2020	+	26.4292i	−0.0727347	+	0.100111i
$265$	−26.4441	+	30.6925i	−0.0997889	+	0.115821i
$266$	−128.949	+	93.6871i	−0.484771	+	0.352207i
$267$	−7.24373	−	14.2166i	−0.0271301	−	0.0532458i
$268$	−116.331	−	116.331i	−0.434070	−	0.434070i
$269$	−59.5447	−	19.3472i	−0.221356	−	0.0719228i	0.196240	−	0.980556i	$-0.437127\pi$
$269$	−59.5447	−	19.3472i	−0.221356	−	0.0719228i	−0.417595	+	0.908633i	$0.637127\pi$
$270$	64.9518	−	4.82952i	0.240562	−	0.0178871i
$271$	−1.18317	−	3.64141i	−0.00436593	−	0.0134369i	0.948850	−	0.315728i	$-0.102249\pi$
$271$	−1.18317	−	3.64141i	−0.00436593	−	0.0134369i	−0.953216	+	0.302291i	$0.902249\pi$
$272$	299.019	+	152.358i	1.09934	+	0.560140i
$273$	−10.0450	−	63.4213i	−0.0367947	−	0.232313i
$274$		−	130.801i		−	0.477374i
$275$	−48.9318	−	98.1212i	−0.177934	−	0.356804i
$276$	−10.7014			−0.0387732
$277$	−279.937	+	44.3376i	−1.01060	+	0.160064i	−0.639713	−	0.768614i	$-0.720947\pi$
$277$	−279.937	+	44.3376i	−1.01060	+	0.160064i	−0.370888	+	0.928677i	$0.620947\pi$
$278$	−84.3555	+	165.557i	−0.303437	+	0.595529i
$279$	138.206	−	44.9058i	0.495361	−	0.160953i
$280$	−55.4082	+	89.5471i	−0.197886	+	0.319811i
$281$	−85.8501	+	264.220i	−0.305516	+	0.940283i	0.673967	+	0.738761i	$0.264589\pi$
$281$	−85.8501	+	264.220i	−0.305516	+	0.940283i	−0.979484	+	0.201522i	$0.935411\pi$
$282$	217.728	−	217.728i	0.772083	−	0.772083i
$283$	−37.5231	+	19.1190i	−0.132590	+	0.0675582i	−0.519027	−	0.854758i	$-0.673706\pi$
$283$	−37.5231	+	19.1190i	−0.132590	+	0.0675582i	0.386437	+	0.922316i	$0.373706\pi$
$284$	−100.413	−	138.207i	−0.353568	−	0.486644i
$285$	96.1192	−	58.3321i	0.337260	−	0.204674i
$286$	67.3355	+	48.9221i	0.235439	+	0.171056i
$287$	52.5696	−	331.911i	0.183169	−	1.15649i
$288$	96.9903	+	15.3618i	0.336772	+	0.0533394i
$289$	3.02260	−	4.16026i	0.0104588	−	0.0143954i
$290$	609.688	−	143.590i	2.10237	−	0.495137i
$291$	135.926	−	98.7560i	0.467099	−	0.339368i
$292$	8.88734	+	17.4424i	0.0304361	+	0.0597342i
$293$	−5.91902	−	5.91902i	−0.0202014	−	0.0202014i	0.696934	−	0.717135i	$-0.254547\pi$
$293$	−5.91902	−	5.91902i	−0.0202014	−	0.0202014i	−0.717135	+	0.696934i	$0.754547\pi$
$294$	−103.308	−	33.5667i	−0.351387	−	0.114173i
$295$	200.563	+	490.182i	0.679875	+	1.66163i
$296$	−32.3379	−	99.5258i	−0.109250	−	0.336236i
$297$	−20.3055	−	10.3461i	−0.0683685	−	0.0348355i
$298$	16.1653	+	102.064i	0.0542461	+	0.342496i
$299$		−	20.4729i		−	0.0684714i
$300$	−58.8353	+	79.5254i	−0.196118	+	0.265085i
$301$	−34.7730			−0.115525
$302$	−289.542	+	45.8589i	−0.958748	+	0.151851i
$303$	75.6619	−	148.495i	0.249709	−	0.490082i
$304$	245.948	−	79.9135i	0.809041	−	0.262873i
$305$	354.214	+	418.379i	1.16136	+	1.37173i
$306$	−39.1553	+	120.508i	−0.127959	+	0.393816i
$307$	132.674	−	132.674i	0.432164	−	0.432164i	−0.457200	−	0.889364i	$-0.651148\pi$
$307$	132.674	−	132.674i	0.432164	−	0.432164i	0.889364	+	0.457200i	$0.151148\pi$
$308$	−43.7205	+	22.2767i	−0.141950	+	0.0723270i
$309$	−165.652	−	228.001i	−0.536092	−	0.737867i
$310$	−234.773	+	559.937i	−0.757332	+	1.80625i
$311$	−439.962	−	319.651i	−1.41467	−	1.02782i	−0.992623	−	0.121242i	$-0.961312\pi$
$311$	−439.962	−	319.651i	−1.41467	−	1.02782i	−0.422045	−	0.906575i	$-0.638688\pi$
$312$	−8.82083	+	55.6925i	−0.0282719	+	0.178502i
$313$	−487.093	−	77.1480i	−1.55621	−	0.246479i	−0.681752	−	0.731584i	$-0.738782\pi$
$313$	−487.093	−	77.1480i	−1.55621	−	0.246479i	−0.874456	+	0.485105i	$0.838782\pi$
$314$	119.003	−	163.793i	0.378989	−	0.521634i
$315$	−67.7453	−	28.4046i	−0.215065	−	0.0901733i
$316$	6.62855	−	4.81592i	0.0209764	−	0.0152403i
$317$	−69.1794	−	135.772i	−0.218232	−	0.428304i	0.755772	−	0.654834i	$-0.227262\pi$
$317$	−69.1794	−	135.772i	−0.218232	−	0.428304i	−0.974004	+	0.226531i	$0.927262\pi$
$318$	−24.8776	−	24.8776i	−0.0782315	−	0.0782315i
$319$	−208.439	−	67.7260i	−0.653414	−	0.212307i
$320$	−9.09156	+	7.69723i	−0.0284111	+	0.0240539i
$321$	88.9834	+	273.863i	0.277207	+	0.853155i
$322$	29.5837	+	15.0737i	0.0918750	+	0.0468127i
$323$	34.2178	+	216.043i	0.105937	+	0.668863i
$324$			20.5609i			0.0634595i
$325$	−152.141	−	112.558i	−0.468126	−	0.346333i
$326$	140.606			0.431306
$327$	17.0299	−	2.69728i	0.0520793	−	0.00824855i
$328$	−133.971	+	262.933i	−0.408448	+	0.801625i
$329$	−330.287	+	107.317i	−1.00391	+	0.326191i
$330$	88.1262	−	36.0578i	0.267049	−	0.109266i
$331$	8.39066	−	25.8238i	0.0253494	−	0.0780176i	−0.937581	−	0.347766i	$-0.886940\pi$
$331$	8.39066	−	25.8238i	0.0253494	−	0.0780176i	0.962931	+	0.269748i	$0.0869405\pi$
$332$	−176.037	+	176.037i	−0.530233	+	0.530233i
$333$	65.0452	−	33.1422i	0.195331	−	0.0995260i
$334$	−145.952	−	200.886i	−0.436982	−	0.601454i
$335$	−82.5418	−	350.476i	−0.246393	−	1.04620i
$336$	−136.691	−	99.3122i	−0.406820	−	0.295572i
$337$	−16.3450	+	103.198i	−0.0485014	+	0.306226i	−0.999999	−	0.00143058i	$-0.999545\pi$
$337$	−16.3450	+	103.198i	−0.0485014	+	0.306226i	0.951498	+	0.307656i	$0.0995446\pi$
$338$	−276.558	−	43.8025i	−0.818220	−	0.129593i
$339$	−120.686	+	166.110i	−0.356007	+	0.490001i
$340$	−99.8453	−	164.524i	−0.293663	−	0.483895i
$341$	171.872	−	124.873i	0.504025	−	0.366195i
$342$	44.3276	+	86.9978i	0.129613	+	0.254380i
$343$	256.312	+	256.312i	0.747266	+	0.747266i
$344$	29.0409	+	9.43596i	0.0844212	+	0.0274301i
$345$	−19.9169	−	12.3238i	−0.0577301	−	0.0357211i
$346$	−90.3478	−	278.062i	−0.261121	−	0.803647i
$347$	175.282	+	89.3106i	0.505135	+	0.257379i	0.687937	−	0.725771i	$-0.258517\pi$
$347$	175.282	+	89.3106i	0.505135	+	0.257379i	−0.182802	+	0.983150i	$0.558517\pi$
$348$	30.9326	+	195.300i	0.0888866	+	0.561208i
$349$		−	494.524i		−	1.41697i	−0.705724	−	0.708487i	$-0.749378\pi$
$349$		−	494.524i		−	1.41697i	0.705724	−	0.708487i	$-0.250622\pi$
$350$	274.666	−	136.972i	0.784759	−	0.391350i
$351$	−39.3352			−0.112066
$352$	141.794	−	22.4579i	0.402823	−	0.0638009i
$353$	−234.659	+	460.544i	−0.664756	+	1.30466i	0.274549	+	0.961573i	$0.411472\pi$
$353$	−234.659	+	460.544i	−0.664756	+	1.30466i	−0.939305	+	0.343084i	$0.888528\pi$
$354$	−437.425	+	142.128i	−1.23566	+	0.401491i
$355$	−27.7242	−	372.860i	−0.0780963	−	1.05031i
$356$	−6.50334	+	20.0152i	−0.0182678	+	0.0562226i
$357$	101.053	−	101.053i	0.283063	−	0.283063i
$358$	255.737	−	130.305i	0.714349	−	0.363979i
$359$	52.6261	+	72.4336i	0.146591	+	0.201765i	0.875998	−	0.482315i	$-0.160204\pi$
$359$	52.6261	+	72.4336i	0.146591	+	0.201765i	−0.729407	+	0.684080i	$0.760204\pi$
$360$	48.8701	+	42.1056i	0.135750	+	0.116960i
$361$	−155.692	−	113.117i	−0.431280	−	0.313344i
$362$	130.330	−	822.872i	0.360028	−	2.27313i
$363$	174.092	+	27.5734i	0.479591	+	0.0759597i
$364$	−49.7821	+	68.5191i	−0.136764	+	0.188239i
$365$	−3.54607	+	42.6975i	−0.00971526	+	0.116980i
$366$	−385.136	+	279.817i	−1.05228	+	0.764529i
$367$	186.580	+	366.183i	0.508391	+	0.997774i	0.992440	+	0.122733i	$0.0391657\pi$
$367$	186.580	+	366.183i	0.508391	+	0.997774i	−0.484049	+	0.875041i	$0.660834\pi$
$368$	−38.0920	−	38.0920i	−0.103511	−	0.103511i
$369$	−195.783	−	63.6138i	−0.530577	−	0.172395i
$370$	−72.4850	+	296.276i	−0.195905	+	0.800746i
$371$	12.2621	+	37.7387i	0.0330514	+	0.101722i
$372$	−170.781	−	87.0173i	−0.459089	−	0.233917i
$373$	−74.8020	−	472.281i	−0.200542	−	1.26617i	−0.858381	−	0.513012i	$-0.828530\pi$
$373$	−74.8020	−	472.281i	−0.200542	−	1.26617i	0.657840	−	0.753158i	$-0.271470\pi$
$374$			185.241i			0.495297i
$375$	−201.083	+	80.2536i	−0.536221	+	0.214010i
$376$	304.963			0.811072
$377$	−373.631	+	59.1773i	−0.991064	+	0.156969i
$378$	28.9615	−	56.8401i	0.0766176	−	0.150371i
$379$	−19.7020	+	6.40156i	−0.0519841	+	0.0168907i	−0.334894	−	0.942256i	$-0.608700\pi$
$379$	−19.7020	+	6.40156i	−0.0519841	+	0.0168907i	0.282910	+	0.959147i	$0.408700\pi$
$380$	−144.051	−	35.2425i	−0.379081	−	0.0927435i
$381$	−48.5441	+	149.403i	−0.127412	+	0.392135i
$382$	257.606	−	257.606i	0.674360	−	0.674360i
$383$	138.518	−	70.5785i	0.361666	−	0.184278i	−0.263709	−	0.964602i	$-0.584946\pi$
$383$	138.518	−	70.5785i	0.361666	−	0.184278i	0.625375	+	0.780324i	$0.284946\pi$
$384$	127.218	+	175.101i	0.331298	+	0.455992i
$385$	−107.024	−	8.88846i	−0.277985	−	0.0230869i
$386$	−204.478	−	148.562i	−0.529736	−	0.384876i
$387$	−3.33227	+	21.0392i	−0.00861053	+	0.0543647i
$388$	−218.879	−	34.6670i	−0.564120	−	0.0893479i
$389$	62.6538	−	86.2356i	0.161064	−	0.221685i	−0.720856	−	0.693085i	$-0.756251\pi$
$389$	62.6538	−	86.2356i	0.161064	−	0.221685i	0.881920	+	0.471400i	$0.156251\pi$
$390$	107.275	−	124.510i	0.275065	−	0.319256i
$391$	36.8628	−	26.7824i	0.0942783	−	0.0684972i
$392$	−48.8419	−	95.8576i	−0.124597	−	0.244535i
$393$	70.2323	+	70.2323i	0.178708	+	0.178708i
$394$	473.037	+	153.699i	1.20060	+	0.390099i
$395$	17.8827	−	1.32968i	0.0452728	−	0.00336628i
$396$	9.28866	+	28.5875i	0.0234562	+	0.0721908i
$397$	525.086	+	267.545i	1.32264	+	0.673916i	0.965565	−	0.260161i	$-0.0837757\pi$
$397$	525.086	+	267.545i	1.32264	+	0.673916i	0.357070	+	0.934078i	$0.383776\pi$
$398$	137.327	+	867.049i	0.345043	+	2.17852i
$399$		−	110.125i		−	0.276002i
$400$	−492.500	+	73.6473i	−1.23125	+	0.184118i
$401$	−187.079			−0.466530			−0.233265	−	0.972413i	$-0.574941\pi$
$401$	−187.079			−0.466530			−0.233265	+	0.972413i	$0.574941\pi$
$402$	308.836	−	48.9148i	0.768248	−	0.121679i
$403$	166.474	−	326.723i	0.413086	−	0.810727i
$404$	−209.062	+	67.9284i	−0.517481	+	0.168140i
$405$	−23.6780	+	38.2669i	−0.0584642	+	0.0944861i
$406$	189.582	−	583.474i	0.466951	−	1.43713i
$407$	75.4654	−	75.4654i	0.185419	−	0.185419i
$408$	−111.817	+	56.9737i	−0.274062	+	0.139641i
$409$	365.092	+	502.506i	0.892645	+	1.22862i	0.972755	+	0.231835i	$0.0744728\pi$
$409$	365.092	+	502.506i	0.892645	+	1.22862i	−0.0801100	+	0.996786i	$0.525527\pi$
$410$	735.300	−	446.234i	1.79341	−	1.08837i
$411$	73.1124	+	53.1192i	0.177889	+	0.129244i
$412$	−58.1500	+	367.145i	−0.141141	+	0.891128i
$413$	512.359	+	81.1497i	1.24058	+	0.196488i
$414$	11.9552	−	16.4549i	0.0288773	−	0.0397462i
$415$	−530.357	+	124.906i	−1.27797	+	0.300979i
$416$	200.468	−	145.648i	0.481894	−	0.350116i
$417$	−58.2824	−	114.386i	−0.139766	−	0.274306i
$418$	100.935	+	100.935i	0.241471	+	0.241471i
$419$	437.688	+	142.214i	1.04460	+	0.339412i	0.780548	−	0.625096i	$-0.214940\pi$
$419$	437.688	+	142.214i	1.04460	+	0.339412i	0.264054	+	0.964508i	$0.414940\pi$
$420$	36.6916	+	89.6753i	0.0873609	+	0.213513i
$421$	218.528	+	672.560i	0.519069	+	1.59753i	0.775754	+	0.631035i	$0.217370\pi$
$421$	218.528	+	672.560i	0.519069	+	1.59753i	−0.256685	+	0.966495i	$0.582630\pi$
$422$	318.609	+	162.340i	0.754998	+	0.384691i
$423$	33.2801	+	210.122i	0.0786763	+	0.496743i
$424$		−	34.8452i		−	0.0821820i
$425$	3.63992	−	421.186i	0.00856452	−	0.991026i
$426$	324.691			0.762186
$427$	530.314	−	83.9936i	1.24195	−	0.196706i
$428$	172.430	−	338.412i	0.402873	−	0.790683i
$429$	−54.6911	+	17.7702i	−0.127485	+	0.0414224i
$430$	−57.5084	−	67.9259i	−0.133741	−	0.157967i
$431$	85.3071	−	262.548i	0.197928	−	0.609161i	−0.802002	−	0.597322i	$-0.796232\pi$
$431$	85.3071	−	262.548i	0.197928	−	0.609161i	0.999930	−	0.0118388i	$-0.00376849\pi$
$432$	−73.1872	+	73.1872i	−0.169415	+	0.169415i
$433$	−266.499	+	135.788i	−0.615470	+	0.313598i	−0.733789	−	0.679378i	$-0.762250\pi$
$433$	−266.499	+	135.788i	−0.615470	+	0.313598i	0.118318	+	0.992976i	$0.462250\pi$
$434$	349.550	+	481.114i	0.805414	+	1.10856i
$435$	−167.339	+	399.105i	−0.384687	+	0.917483i
$436$	−18.3988	−	13.3675i	−0.0421991	−	0.0306594i
$437$	5.49265	−	34.6793i	0.0125690	−	0.0793576i
$438$	−36.7488	−	5.82043i	−0.0839013	−	0.0132887i
$439$	−10.1934	+	14.0301i	−0.0232197	+	0.0319591i	−0.820469	−	0.571691i	$-0.806288\pi$
$439$	−10.1934	+	14.0301i	−0.0232197	+	0.0319591i	0.797249	+	0.603650i	$0.206288\pi$
$440$	86.9700	+	36.4652i	0.197659	+	0.0828755i
$441$	60.7167	−	44.1133i	0.137680	−	0.100030i
$442$	145.156	+	284.884i	0.328406	+	0.644534i
$443$	−71.3193	−	71.3193i	−0.160992	−	0.160992i	0.622014	−	0.783006i	$-0.286315\pi$
$443$	−71.3193	−	71.3193i	−0.160992	−	0.160992i	−0.783006	+	0.622014i	$0.786315\pi$
$444$	−91.5755	−	29.7547i	−0.206251	−	0.0670151i
$445$	−35.1533	+	29.7620i	−0.0789962	+	0.0668810i
$446$	−289.832	−	892.010i	−0.649847	−	2.00002i
$447$	−63.6146	−	32.4132i	−0.142314	−	0.0725129i
$448$	1.82522	+	11.5240i	0.00407414	+	0.0257231i
$449$		−	239.188i		−	0.532713i	−0.963875	−	0.266357i	$-0.914180\pi$
$449$		−	239.188i		−	0.532713i	0.963875	−	0.266357i	$-0.0858199\pi$
$450$	−56.5531	−	179.311i	−0.125674	−	0.398468i
$451$	−300.952			−0.667299
$452$	267.484	−	42.3653i	0.591779	−	0.0937286i
$453$	91.9522	−	180.466i	0.202985	−	0.398380i
$454$	−345.676	+	112.317i	−0.761401	+	0.247394i
$455$	−171.559	+	70.1950i	−0.377052	+	0.154275i
$456$	−29.8833	+	91.9714i	−0.0655336	+	0.201692i
$457$	−248.180	+	248.180i	−0.543063	+	0.543063i	−0.924426	−	0.381362i	$-0.875455\pi$
$457$	−248.180	+	248.180i	−0.543063	+	0.543063i	0.381362	+	0.924426i	$0.375455\pi$
$458$	381.778	−	194.525i	0.833576	−	0.424728i
$459$	−51.4578	−	70.8255i	−0.112108	−	0.154304i
$460$	7.08180	+	30.0696i	0.0153952	+	0.0653687i
$461$	596.422	+	433.326i	1.29376	+	0.939969i	0.999874	−	0.0158724i	$-0.00505257\pi$
$461$	596.422	+	433.326i	1.29376	+	0.939969i	0.293882	+	0.955842i	$0.405053\pi$
$462$	14.5893	−	92.1133i	0.0315786	−	0.199379i
$463$	433.311	+	68.6297i	0.935877	+	0.148228i	0.605702	−	0.795692i	$-0.292892\pi$
$463$	433.311	+	68.6297i	0.935877	+	0.148228i	0.330175	+	0.943920i	$0.392892\pi$
$464$	−585.073	+	805.284i	−1.26093	+	1.73553i
$465$	−217.639	−	358.624i	−0.468041	−	0.771235i
$466$	−133.768	+	97.1878i	−0.287055	+	0.208557i
$467$	−134.090	−	263.167i	−0.287131	−	0.563527i	0.701717	−	0.712456i	$-0.252417\pi$
$467$	−134.090	−	263.167i	−0.287131	−	0.563527i	−0.988848	+	0.148930i	$0.952417\pi$
$468$	36.6864	+	36.6864i	0.0783898	+	0.0783898i
$469$	−335.406	−	108.980i	−0.715152	−	0.232367i
$470$	−755.871	−	467.703i	−1.60824	−	0.995113i
$471$	43.2259	+	133.036i	0.0917748	+	0.282454i
$472$	−405.879	−	206.806i	−0.859914	−	0.438148i
$473$	4.87157	+	30.7579i	0.0102993	+	0.0650273i
$474$			15.5725i			0.0328534i
$475$	−227.514	−	231.481i	−0.478977	−	0.487328i
$476$	−188.497			−0.396002
$477$	24.0086	−	3.80259i	0.0503325	−	0.00797189i
$478$	−124.697	+	244.732i	−0.260873	+	0.511991i
$479$	−49.6963	+	16.1473i	−0.103750	+	0.0337104i	−0.360432	−	0.932785i	$-0.617371\pi$
$479$	−49.6963	+	16.1473i	−0.103750	+	0.0337104i	0.256682	+	0.966496i	$0.417371\pi$
$480$	−21.0200	−	282.697i	−0.0437918	−	0.588951i
$481$	56.9240	−	175.194i	0.118345	−	0.364229i
$482$	−678.738	+	678.738i	−1.40817	+	1.40817i
$483$	−20.4398	+	10.4146i	−0.0423185	+	0.0215623i
$484$	−136.652	−	188.085i	−0.282338	−	0.388605i
$485$	−367.443	−	316.582i	−0.757614	−	0.652746i
$486$	−31.6153	−	22.9699i	−0.0650521	−	0.0472631i
$487$	43.8777	−	277.033i	0.0900979	−	0.568856i	−0.900799	−	0.434235i	$-0.857019\pi$
$487$	43.8777	−	277.033i	0.0900979	−	0.568856i	0.990897	−	0.134620i	$-0.0429814\pi$
$488$	−465.688	−	73.7577i	−0.954279	−	0.151143i
$489$	−57.1012	+	78.5931i	−0.116771	+	0.160722i
$490$	−25.9530	+	312.495i	−0.0529653	+	0.637745i
$491$	469.580	−	341.170i	0.956374	−	0.694847i	0.00406834	−	0.999992i	$-0.498705\pi$
$491$	469.580	−	341.170i	0.956374	−	0.694847i	0.952306	+	0.305145i	$0.0987050\pi$
$492$	123.269	+	241.929i	0.250547	+	0.491726i
$493$	−595.331	−	595.331i	−1.20757	−	1.20757i
$494$	234.322	+	76.1357i	0.474335	+	0.154121i
$495$	−15.6340	+	63.9025i	−0.0315838	+	0.129096i
$496$	−298.160	−	917.642i	−0.601129	−	1.85008i
$497$	−326.294	−	166.255i	−0.656527	−	0.334517i
$498$	−74.0202	−	467.345i	−0.148635	−	0.938445i
$499$			485.492i			0.972931i	0.873700	+	0.486465i	$0.161714\pi$
$499$			485.492i			0.972931i	−0.873700	+	0.486465i	$0.838286\pi$
$500$	262.392	+	112.693i	0.524783	+	0.225386i
$501$	171.560			0.342434
$502$	−246.651	+	39.0656i	−0.491336	+	0.0778200i
$503$	−54.7707	+	107.494i	−0.108888	+	0.213705i	−0.939020	−	0.343862i	$-0.888265\pi$
$503$	−54.7707	+	107.494i	−0.108888	+	0.213705i	0.830132	+	0.557567i	$0.188265\pi$
$504$	60.0896	−	19.5243i	0.119225	−	0.0387387i
$505$	−467.322	−	114.332i	−0.925391	−	0.226400i
$506$	9.18861	−	28.2796i	0.0181593	−	0.0558886i
$507$	136.797	−	136.797i	0.269816	−	0.269816i
$508$	184.618	−	94.0676i	0.363421	−	0.185172i
$509$	−299.811	−	412.655i	−0.589020	−	0.810717i	0.405628	−	0.914038i	$-0.367053\pi$
$509$	−299.811	−	412.655i	−0.589020	−	0.810717i	−0.994648	+	0.103322i	$0.967053\pi$
$510$	364.523	+	30.2740i	0.714751	+	0.0593608i
$511$	33.9499	+	24.6660i	0.0664381	+	0.0482701i
$512$	48.3956	−	305.558i	0.0945227	−	0.596793i
$513$	−66.6302	−	10.5532i	−0.129883	−	0.0205715i
$514$	−697.094	+	959.467i	−1.35621	+	1.86667i
$515$	−531.031	+	616.345i	−1.03113	+	1.19679i
$516$	22.7303	−	16.5145i	0.0440509	−	0.0320049i
$517$	141.198	+	277.116i	0.273110	+	0.536008i
$518$	211.247	+	211.247i	0.407812	+	0.407812i
$519$	192.117	+	62.4225i	0.370167	+	0.120275i
$520$	162.326	−	12.0699i	0.312166	−	0.0232113i
$521$	217.966	+	670.830i	0.418360	+	1.28758i	0.909211	+	0.416337i	$0.136686\pi$
$521$	217.966	+	670.830i	0.418360	+	1.28758i	−0.490850	+	0.871244i	$0.663314\pi$
$522$	−334.859	−	170.619i	−0.641493	−	0.326857i
$523$	19.7683	+	124.812i	0.0377979	+	0.238646i	0.999353	−	0.0359655i	$-0.0114506\pi$
$523$	19.7683	+	124.812i	0.0377979	+	0.238646i	−0.961555	+	0.274612i	$0.911451\pi$
$524$		−	131.006i		−	0.250011i
$525$	−34.9820	+	209.153i	−0.0666324	+	0.398387i
$526$	878.590			1.67032
$527$	806.063	−	127.668i	1.52953	−	0.242254i
$528$	−68.6951	+	134.822i	−0.130104	+	0.255344i
$529$	496.153	−	161.210i	0.937907	−	0.304744i
$530$	−53.4399	+	86.3661i	−0.100830	+	0.162955i
$531$	98.1981	−	302.223i	0.184931	−	0.569158i
$532$	−102.709	+	102.709i	−0.193062	+	0.193062i
$533$	−462.837	+	235.827i	−0.868362	+	0.442453i
$534$	−23.5110	−	32.3601i	−0.0440281	−	0.0605995i
$535$	710.634	−	431.265i	1.32829	−	0.806102i
$536$	250.544	+	182.031i	0.467433	+	0.339610i
$537$	−31.0219	+	195.865i	−0.0577690	+	0.364739i
$538$	−155.022	−	24.5531i	−0.288145	−	0.0456377i
$539$	64.4908	−	88.7640i	0.119649	−	0.164683i
$540$	57.7736	−	13.6065i	0.106988	−	0.0251971i
$541$	−37.9890	+	27.6006i	−0.0702200	+	0.0510178i	−0.622341	−	0.782746i	$-0.713818\pi$
$541$	−37.9890	+	27.6006i	−0.0702200	+	0.0510178i	0.552121	+	0.833764i	$0.313818\pi$
$542$	−4.35759	−	8.55226i	−0.00803984	−	0.0157791i
$543$	407.025	+	407.025i	0.749586	+	0.749586i
$544$	524.498	+	170.420i	0.964151	+	0.313272i
$545$	−18.8488	−	46.0670i	−0.0345849	−	0.0845267i
$546$	−49.7433	−	153.094i	−0.0911050	−	0.280392i
$547$	−653.544	−	332.997i	−1.19478	−	0.608770i	−0.260556	−	0.965459i	$-0.583906\pi$
$547$	−653.544	−	332.997i	−1.19478	−	0.608770i	−0.934223	+	0.356688i	$0.883906\pi$
$548$	−18.6468	−	117.731i	−0.0340270	−	0.214838i
$549$		−	328.912i		−	0.599111i
$550$	−159.637	−	223.762i	−0.290248	−	0.406840i
$551$	−648.773			−1.17745
$552$	19.8965	−	3.15130i	0.0360445	−	0.00570888i
$553$	7.97376	−	15.6494i	0.0144191	−	0.0282991i
$554$	−675.745	+	219.563i	−1.21976	+	0.396323i
$555$	−136.170	−	160.837i	−0.245351	−	0.289796i
$556$	−52.3253	+	161.041i	−0.0941103	+	0.289642i
$557$	−233.684	+	233.684i	−0.419540	+	0.419540i	−0.885045	−	0.465505i	$-0.845873\pi$
$557$	−233.684	+	233.684i	−0.419540	+	0.419540i	0.465505	+	0.885045i	$0.345873\pi$
$558$	324.592	−	165.388i	0.581706	−	0.296394i
$559$	31.5941	+	43.4855i	0.0565189	+	0.0777916i
$560$	−188.597	+	449.807i	−0.336781	+	0.803227i
$561$	−103.542	−	75.2280i	−0.184568	−	0.134096i
$562$	−108.950	+	687.884i	−0.193862	+	1.22399i
$563$	556.639	+	88.1629i	0.988701	+	0.156595i	0.629780	−	0.776773i	$-0.283145\pi$
$563$	556.639	+	88.1629i	0.988701	+	0.156595i	0.358921	+	0.933368i	$0.383145\pi$
$564$	164.934	−	227.012i	0.292436	−	0.402503i
$565$	546.616	+	229.188i	0.967461	+	0.405642i
$566$	−85.4107	+	62.0545i	−0.150902	+	0.109637i
$567$	20.0099	+	39.2716i	0.0352908	+	0.0692620i
$568$	227.392	+	227.392i	0.400337	+	0.400337i
$569$	186.309	+	60.5353i	0.327431	+	0.106389i	0.468120	−	0.883665i	$-0.344932\pi$
$569$	186.309	+	60.5353i	0.327431	+	0.106389i	−0.140688	+	0.990054i	$0.544932\pi$
$570$	215.119	−	182.127i	0.377401	−	0.319521i
$571$	−24.0957	−	74.1589i	−0.0421991	−	0.129876i	0.927737	−	0.373234i	$-0.121751\pi$
$571$	−24.0957	−	74.1589i	−0.0421991	−	0.129876i	−0.969937	+	0.243358i	$0.921751\pi$
$572$	67.5818	+	34.4347i	0.118150	+	0.0602005i
$573$	39.3755	+	248.607i	0.0687182	+	0.433870i
$574$		−	842.440i		−	1.46767i
$575$	−21.4480	+	64.1194i	−0.0373009	+	0.111512i
$576$	7.14740			0.0124087
$577$	991.847	−	157.093i	1.71897	−	0.272258i	0.782411	−	0.622763i	$-0.213990\pi$
$577$	991.847	−	157.093i	1.71897	−	0.272258i	0.936561	+	0.350505i	$0.113990\pi$
$578$	5.85257	−	11.4863i	0.0101255	−	0.0198725i
$579$	166.081	−	53.9629i	0.286841	−	0.0932002i
$580$	528.300	−	216.159i	0.910862	−	0.372689i
$581$	−164.914	+	507.553i	−0.283845	+	0.873586i
$582$	297.829	−	297.829i	0.511733	−	0.511733i
$583$	31.6633	−	16.1333i	0.0543110	−	0.0276729i
$584$	−21.6601	−	29.8126i	−0.0370892	−	0.0510489i
$585$	26.0306	+	110.527i	0.0444968	+	0.188935i
$586$	−16.9769	−	12.3345i	−0.0289709	−	0.0210486i
$587$	−30.1210	+	190.176i	−0.0513134	+	0.323980i	0.948657	+	0.316306i	$0.102443\pi$
$587$	−30.1210	+	190.176i	−0.0513134	+	0.323980i	−0.999971	+	0.00767403i	$0.997557\pi$
$588$	−97.7708	−	15.4854i	−0.166277	−	0.0263357i
$589$	369.647	−	508.775i	0.627583	−	0.863794i
$590$	688.834	+	1135.05i	1.16751	+	1.92382i
$591$	−278.017	+	201.991i	−0.470417	+	0.341778i
$592$	−220.053	−	431.879i	−0.371712	−	0.729525i
$593$	−551.228	−	551.228i	−0.929559	−	0.929559i	0.0681186	−	0.997677i	$-0.478300\pi$
$593$	−551.228	−	551.228i	−0.929559	−	0.929559i	−0.997677	+	0.0681186i	$0.978300\pi$
$594$	−54.3344	−	17.6543i	−0.0914721	−	0.0297211i
$595$	−350.821	−	217.074i	−0.589615	−	0.364830i
$596$	29.1003	+	89.5614i	0.0488260	+	0.150271i
$597$	−540.416	−	275.356i	−0.905220	−	0.461233i
$598$	−8.02878	−	50.6917i	−0.0134261	−	0.0847688i
$599$		−	1019.20i		−	1.70150i	−0.525570	−	0.850750i	$-0.676148\pi$
$599$		−	1019.20i		−	1.70150i	0.525570	−	0.850750i	$-0.323852\pi$
$600$	85.9710	−	165.183i	0.143285	−	0.275305i
$601$	−738.451			−1.22870			−0.614352	−	0.789032i	$-0.710582\pi$
$601$	−738.451			−1.22870			−0.614352	+	0.789032i	$0.710582\pi$
$602$	−86.0991	+	13.6368i	−0.143022	+	0.0226524i
$603$	−98.0795	+	192.492i	−0.162653	+	0.319224i
$604$	−254.074	+	82.5537i	−0.420653	+	0.136678i
$605$	−37.7296	−	507.423i	−0.0623630	−	0.838715i
$606$	129.107	−	397.350i	0.213048	−	0.655694i
$607$	530.739	−	530.739i	0.874364	−	0.874364i	−0.118580	−	0.992944i	$-0.537834\pi$
$607$	530.739	−	530.739i	0.874364	−	0.874364i	0.992944	+	0.118580i	$0.0378343\pi$
$608$	378.650	−	192.932i	0.622779	−	0.317322i
$609$	249.148	+	342.923i	0.409110	+	0.563092i
$610$	1041.12	+	897.011i	1.70676	+	1.47051i
$611$	434.298	+	315.536i	0.710799	+	0.516426i
$612$	−18.0636	+	114.049i	−0.0295156	+	0.186354i
$613$	423.483	+	67.0731i	0.690836	+	0.109418i	0.491974	−	0.870610i	$-0.336275\pi$
$613$	423.483	+	67.0731i	0.690836	+	0.109418i	0.198862	+	0.980027i	$0.436275\pi$
$614$	276.476	−	380.536i	0.450287	−	0.619766i
$615$	−49.1847	+	592.223i	−0.0799751	+	0.962965i
$616$	74.7272	−	54.2925i	0.121310	−	0.0881372i
$617$	318.731	+	625.545i	0.516582	+	1.01385i	0.991039	+	0.133570i	$0.0426442\pi$
$617$	318.731	+	625.545i	0.516582	+	1.01385i	−0.474458	+	0.880278i	$0.657356\pi$
$618$	−499.575	−	499.575i	−0.808374	−	0.808374i
$619$	120.402	+	39.1210i	0.194511	+	0.0632003i	0.404652	−	0.914471i	$-0.367393\pi$
$619$	120.402	+	39.1210i	0.194511	+	0.0632003i	−0.210142	+	0.977671i	$0.567393\pi$
$620$	−131.491	+	537.458i	−0.212082	+	0.866868i
$621$	4.34255	+	13.3650i	0.00699283	+	0.0215217i
$622$	−1214.72	−	618.929i	−1.95292	−	0.995063i
$623$	7.05736	+	44.5584i	0.0113280	+	0.0715223i
$624$			261.173i			0.418547i
$625$	358.572	+	511.909i	0.573715	+	0.819055i
$626$	−1236.31			−1.97494
$627$	−97.4091	+	15.4281i	−0.155357	+	0.0246062i
$628$	83.7621	−	164.392i	0.133379	−	0.261771i
$629$	389.915	−	126.691i	0.619896	−	0.201416i
$630$	−178.879	−	43.7634i	−0.283935	−	0.0694657i
$631$	−127.446	+	392.238i	−0.201974	+	0.621614i	0.797850	+	0.602857i	$0.205971\pi$
$631$	−127.446	+	392.238i	−0.201974	+	0.621614i	−0.999824	+	0.0187570i	$0.994029\pi$
$632$	−10.9059	+	10.9059i	−0.0172562	+	0.0172562i
$633$	−220.132	+	112.163i	−0.347759	+	0.177192i
$634$	−224.536	−	309.047i	−0.354157	−	0.487456i
$635$	451.930	+	37.5332i	0.711701	+	0.0591074i
$636$	−25.9384	−	18.8454i	−0.0407837	−	0.0296311i
$637$	29.6252	−	187.046i	0.0465074	−	0.293636i
$638$	−542.663	−	85.9493i	−0.850568	−	0.134717i
$639$	−131.860	+	181.490i	−0.206354	+	0.284021i
$640$	407.824	−	473.343i	0.637224	−	0.739599i
$641$	108.133	−	78.5632i	0.168694	−	0.122564i	−0.500235	−	0.865890i	$-0.666753\pi$
$641$	108.133	−	78.5632i	0.168694	−	0.122564i	0.668929	+	0.743326i	$0.266753\pi$
$642$	327.726	+	643.198i	0.510476	+	1.00187i
$643$	349.619	+	349.619i	0.543731	+	0.543731i	0.924621	−	0.380890i	$-0.124382\pi$
$643$	349.619	+	349.619i	0.543731	+	0.543731i	−0.380890	+	0.924621i	$0.624382\pi$
$644$	28.7767	+	9.35012i	0.0446843	+	0.0145188i
$645$	61.3226	−	4.55967i	0.0950738	−	0.00706926i
$646$	169.449	+	521.510i	0.262305	+	0.807291i
$647$	665.202	+	338.937i	1.02813	+	0.523860i	0.884876	−	0.465826i	$-0.154243\pi$
$647$	665.202	+	338.937i	1.02813	+	0.523860i	0.143256	+	0.989686i	$0.454243\pi$
$648$	−6.05468	−	38.2278i	−0.00934365	−	0.0589935i
$649$		−	464.568i		−	0.715822i
$650$	−420.848	−	219.034i	−0.647458	−	0.336975i
$651$	−410.879			−0.631151
$652$	126.557	−	20.0446i	0.194105	−	0.0307433i
$653$	160.644	−	315.282i	0.246009	−	0.482820i	−0.734675	−	0.678420i	$-0.762665\pi$
$653$	160.644	−	315.282i	0.246009	−	0.482820i	0.980684	+	0.195599i	$0.0626652\pi$
$654$	41.1089	−	13.3571i	0.0628577	−	0.0204237i
$655$	150.867	−	243.821i	0.230331	−	0.372246i
$656$	−422.375	+	1299.94i	−0.643864	+	1.98161i
$657$	18.1774	−	18.1774i	0.0276673	−	0.0276673i
$658$	−775.717	+	395.248i	−1.17890	+	0.600680i
$659$	−611.366	−	841.473i	−0.927718	−	1.27689i	−0.960743	−	0.277440i	$-0.910514\pi$
$659$	−611.366	−	841.473i	−0.927718	−	1.27689i	0.0330252	−	0.999455i	$-0.489486\pi$
$660$	74.1806	−	45.0182i	0.112395	−	0.0682094i
$661$	−98.2504	−	71.3831i	−0.148639	−	0.107993i	0.510980	−	0.859592i	$-0.329283\pi$
$661$	−98.2504	−	71.3831i	−0.148639	−	0.107993i	−0.659619	+	0.751600i	$0.729283\pi$
$662$	10.6484	−	67.2312i	0.0160852	−	0.101558i
$663$	−218.188	−	34.5576i	−0.329092	−	0.0521230i
$664$	275.458	−	379.136i	0.414847	−	0.570988i
$665$	−309.437	+	72.8765i	−0.465318	+	0.109589i
$666$	148.057	−	107.570i	0.222308	−	0.161516i
$667$	61.3551	+	120.416i	0.0919866	+	0.180534i
$668$	−160.007	−	160.007i	−0.239531	−	0.239531i
$669$	616.302	+	200.249i	0.921229	+	0.299325i
$670$	−341.821	−	835.420i	−0.510180	−	1.24690i
$671$	−148.590	−	457.314i	−0.221446	−	0.681542i
$672$	−247.391	−	126.052i	−0.368141	−	0.187577i
$673$	117.928	+	744.571i	0.175228	+	1.10635i	0.905861	+	0.423576i	$0.139225\pi$
$673$	117.928	+	744.571i	0.175228	+	1.10635i	−0.730633	+	0.682771i	$0.760775\pi$
$674$			261.932i			0.388623i
$675$	123.194	+	41.2086i	0.182510	+	0.0610498i
$676$	−255.170			−0.377470
$677$	413.513	−	65.4941i	0.610803	−	0.0967416i	0.156633	−	0.987657i	$-0.449936\pi$
$677$	413.513	−	65.4941i	0.610803	−	0.0967416i	0.454170	+	0.890915i	$0.349936\pi$
$678$	−233.681	+	458.624i	−0.344662	+	0.676437i
$679$	−451.799	+	146.798i	−0.665389	+	0.216198i
$680$	234.085	+	276.489i	0.344243	+	0.406602i
$681$	77.6013	−	238.832i	0.113952	−	0.350708i
$682$	376.591	−	376.591i	0.552187	−	0.552187i
$683$	−153.112	+	78.0143i	−0.224175	+	0.114223i	−0.562472	−	0.826817i	$-0.690149\pi$
$683$	−153.112	+	78.0143i	−0.224175	+	0.114223i	0.338296	+	0.941040i	$0.390149\pi$
$684$	52.3008	+	71.9859i	0.0764632	+	0.105243i
$685$	100.875	−	240.589i	0.147263	−	0.351225i
$686$	735.155	+	534.121i	1.07165	+	0.778602i
$687$	−46.3112	+	292.397i	−0.0674108	+	0.425615i
$688$	139.693	+	22.1252i	0.203042	+	0.0321588i
$689$	36.0533	−	49.6231i	0.0523269	−	0.0720219i
$690$	−54.1479	−	22.7034i	−0.0784752	−	0.0329035i
$691$	−202.418	+	147.065i	−0.292934	+	0.212829i	−0.724539	−	0.689233i	$-0.757947\pi$
$691$	−202.418	+	147.065i	−0.292934	+	0.212829i	0.431605	+	0.902063i	$0.357947\pi$
$692$	−120.961	−	237.399i	−0.174799	−	0.343062i
$693$	45.5629	+	45.5629i	0.0657473	+	0.0657473i
$694$	469.029	+	152.397i	0.675834	+	0.219592i
$695$	−282.840	+	239.463i	−0.406964	+	0.344550i
$696$	−115.022	−	354.003i	−0.165262	−	0.508625i
$697$	−1030.10	−	524.861i	−1.47790	−	0.753029i
$698$	−193.935	−	1224.46i	−0.277844	−	1.75424i
$699$		−	114.240i		−	0.163433i
$700$	227.695	−	162.443i	0.325279	−	0.232061i
$701$	427.744			0.610191			0.305095	−	0.952322i	$-0.401312\pi$
$701$	427.744			0.610191			0.305095	+	0.952322i	$0.401312\pi$
$702$	−97.3954	+	15.4259i	−0.138740	+	0.0219742i
$703$	143.426	−	281.490i	0.204020	−	0.400413i
$704$	9.93764	−	3.22893i	0.0141160	−	0.00458655i
$705$	568.394	−	232.564i	0.806232	−	0.329878i
$706$	−400.414	+	1232.35i	−0.567159	+	1.74554i
$707$	−333.204	+	333.204i	−0.471292	+	0.471292i
$708$	−373.457	+	190.286i	−0.527482	+	0.268765i
$709$	154.730	+	212.968i	0.218238	+	0.300378i	0.904073	−	0.427379i	$-0.140563\pi$
$709$	154.730	+	212.968i	0.218238	+	0.300378i	−0.685835	+	0.727757i	$0.740563\pi$
$710$	−214.869	−	912.342i	−0.302632	−	1.28499i
$711$	−8.70443	−	6.32414i	−0.0122425	−	0.00889471i
$712$	6.19732	−	39.1283i	0.00870410	−	0.0549555i
$713$	−129.390	−	20.4933i	−0.181472	−	0.0287423i
$714$	210.582	−	289.841i	0.294933	−	0.405940i
$715$	86.1247	+	141.916i	0.120454	+	0.198483i
$716$	211.608	−	153.743i	0.295543	−	0.214724i
$717$	−86.1549	−	169.089i	−0.120160	−	0.235828i
$718$	158.710	+	158.710i	0.221045	+	0.221045i
$719$	−140.355	−	45.6042i	−0.195209	−	0.0634273i	0.209781	−	0.977748i	$-0.432725\pi$
$719$	−140.355	−	45.6042i	−0.195209	−	0.0634273i	−0.404990	+	0.914321i	$0.632725\pi$
$720$	254.080	+	157.214i	0.352888	+	0.218353i
$721$	246.238	+	757.843i	0.341523	+	1.05110i
$722$	−429.860	−	219.025i	−0.595374	−	0.303358i
$723$	−103.746	−	655.029i	−0.143494	−	0.905988i
$724$		−	759.233i		−	1.04866i
$725$	1232.17	+	206.088i	1.69955	+	0.284259i
$726$	441.870			0.608636
$727$	−896.003	+	141.913i	−1.23247	+	0.195204i	−0.738486	−	0.674269i	$-0.764459\pi$
$727$	−896.003	+	141.913i	−1.23247	+	0.195204i	−0.493981	+	0.869473i	$0.664459\pi$
$728$	72.3799	−	142.054i	0.0994230	−	0.195129i
$729$	25.6785	−	8.34346i	0.0352243	−	0.0114451i
$730$	7.96431	+	107.111i	0.0109100	+	0.146728i
$731$	−36.9675	+	113.774i	−0.0505711	+	0.155642i
$732$	−306.764	+	306.764i	−0.419076	+	0.419076i
$733$	−388.649	+	198.027i	−0.530217	+	0.270159i	−0.698538	−	0.715573i	$-0.746166\pi$
$733$	−388.649	+	198.027i	−0.530217	+	0.270159i	0.168321	+	0.985732i	$0.446166\pi$
$734$	605.582	+	833.512i	0.825043	+	1.13557i
$735$	−164.133	−	141.414i	−0.223310	−	0.192400i
$736$	−71.6185	−	52.0339i	−0.0973078	−	0.0706983i
$737$	−49.4075	+	311.946i	−0.0670386	+	0.423265i
$738$	−509.713	−	80.7306i	−0.690668	−	0.109391i
$739$	−622.921	+	857.377i	−0.842924	+	1.16019i	0.142454	+	0.989801i	$0.454501\pi$
$739$	−622.921	+	857.377i	−0.842924	+	1.16019i	−0.985378	+	0.170384i	$0.945499\pi$
$740$	−23.0056	+	277.006i	−0.0310887	+	0.374333i
$741$	−137.717	+	100.057i	−0.185853	+	0.135030i
$742$	45.1611	+	88.6337i	0.0608640	+	0.119452i
$743$	−336.617	−	336.617i	−0.453051	−	0.453051i	0.443315	−	0.896366i	$-0.353802\pi$
$743$	−336.617	−	336.617i	−0.453051	−	0.453051i	−0.896366	+	0.443315i	$0.853802\pi$
$744$	343.149	+	111.496i	0.461221	+	0.149860i
$745$	−48.9794	+	200.199i	−0.0657441	+	0.268723i
$746$	−370.425	−	1140.05i	−0.496548	−	1.52822i
$747$	291.288	+	148.419i	0.389944	+	0.198686i
$748$	26.4078	+	166.732i	0.0353045	+	0.222904i
$749$		−	814.181i		−	1.08702i
$750$	−466.416	+	277.569i	−0.621888	+	0.370091i
$751$	−261.619			−0.348361			−0.174180	−	0.984714i	$-0.555728\pi$
$751$	−261.619			−0.348361			−0.174180	+	0.984714i	$0.555728\pi$
$752$	1395.14	−	220.969i	1.85524	−	0.293842i
$753$	78.3309	−	153.733i	0.104025	−	0.204161i
$754$	−901.916	+	293.050i	−1.19618	+	0.388661i
$755$	−567.939	−	138.948i	−0.752236	−	0.184037i
$756$	17.9646	−	55.2895i	0.0237628	−	0.0731342i
$757$	−474.820	+	474.820i	−0.627240	+	0.627240i	−0.947373	−	0.320133i	$-0.896272\pi$
$757$	−474.820	+	474.820i	−0.627240	+	0.627240i	0.320133	+	0.947373i	$0.396272\pi$
$758$	−46.2723	+	23.5769i	−0.0610453	+	0.0311041i
$759$	12.0756	+	16.6207i	0.0159099	+	0.0218981i
$760$	278.204	+	23.1051i	0.366058	+	0.0304014i
$761$	352.477	+	256.090i	0.463177	+	0.336517i	0.794776	−	0.606903i	$-0.207588\pi$
$761$	352.477	+	256.090i	0.463177	+	0.336517i	−0.331600	+	0.943420i	$0.607588\pi$
$762$	−61.6061	+	388.966i	−0.0808479	+	0.510454i
$763$	−48.1512	−	7.62640i	−0.0631077	−	0.00999528i
$764$	195.142	−	268.590i	0.255422	−	0.351558i
$765$	−164.958	+	191.460i	−0.215631	+	0.250274i
$766$	315.297	−	229.077i	0.411615	−	0.299056i
$767$	−364.038	−	714.464i	−0.474625	−	0.931505i
$768$	395.337	+	395.337i	0.514762	+	0.514762i
$769$	69.4041	+	22.5508i	0.0902525	+	0.0293248i	0.353795	−	0.935323i	$-0.384891\pi$
$769$	69.4041	+	22.5508i	0.0902525	+	0.0293248i	−0.263543	+	0.964648i	$0.584891\pi$
$770$	−268.482	+	19.9631i	−0.348677	+	0.0259261i
$771$	−253.209	−	779.296i	−0.328416	−	1.01076i
$772$	−205.226	−	104.568i	−0.265837	−	0.135451i
$773$	−193.893	−	1224.19i	−0.250832	−	1.58369i	−0.715764	−	0.698342i	$-0.753921\pi$
$773$	−193.893	−	1224.19i	−0.250832	−	1.58369i	0.464933	−	0.885346i	$-0.346079\pi$
$774$			53.4005i			0.0689929i
$775$	−863.663	+	848.864i	−1.11440	+	1.09531i
$776$	417.158			0.537575
$777$	−203.868	+	32.2895i	−0.262378	+	0.0415566i
$778$	121.314	−	238.093i	0.155931	−	0.306032i
$779$	−847.272	+	275.295i	−1.08764	+	0.353396i
$780$	78.8066	−	127.362i	0.101034	−	0.163285i
$781$	−101.346	+	311.910i	−0.129764	+	0.399373i
$782$	80.7705	−	80.7705i	0.103287	−	0.103287i
$783$	231.359	−	117.883i	0.295477	−	0.150553i
$784$	−292.898	−	403.139i	−0.373594	−	0.514208i
$785$	345.208	−	209.498i	0.439756	−	0.266876i
$786$	201.440	+	146.355i	0.256285	+	0.186202i
$787$	−30.7363	+	194.062i	−0.0390551	+	0.246584i	−0.999490	−	0.0319189i	$-0.989838\pi$
$787$	−30.7363	+	194.062i	−0.0390551	+	0.246584i	0.960435	+	0.278503i	$0.0898382\pi$
$788$	447.684	+	70.9062i	0.568127	+	0.0899825i
$789$	−356.803	+	491.098i	−0.452222	+	0.622430i
$790$	43.7569	−	10.3053i	0.0553884	−	0.0130447i
$791$	469.668	−	341.234i	0.593765	−	0.431396i
$792$	−25.6882	−	50.4160i	−0.0324346	−	0.0636566i
$793$	−586.872	−	586.872i	−0.740066	−	0.740066i
$794$	1405.05	+	456.530i	1.76959	+	0.574974i
$795$	−26.5728	−	64.9448i	−0.0334250	−	0.0816916i
$796$	247.212	+	760.839i	0.310567	+	0.955828i
$797$	114.819	+	58.5031i	0.144064	+	0.0734042i	0.524536	−	0.851388i	$-0.324239\pi$
$797$	114.819	+	58.5031i	0.144064	+	0.0734042i	−0.380473	+	0.924792i	$0.624239\pi$
$798$	−43.1871	−	272.673i	−0.0541192	−	0.341695i
$799$			1194.76i			1.49532i
$800$	−780.432	+	246.142i	−0.975540	+	0.307678i
$801$	27.6361			0.0345020
$802$	−463.213	+	73.3657i	−0.577572	+	0.0914785i
$803$	17.0617	−	33.4855i	0.0212474	−	0.0417004i
$804$	271.005	−	88.0547i	0.337070	−	0.109521i
$805$	42.7901	+	50.5413i	0.0531554	+	0.0627843i
$806$	284.065	−	874.262i	0.352438	−	1.08469i
$807$	76.6800	−	76.6800i	0.0950186	−	0.0950186i
$808$	368.695	−	187.859i	0.456306	−	0.232499i
$809$	97.3016	+	133.924i	0.120274	+	0.165543i	0.864909	−	0.501929i	$-0.167376\pi$
$809$	97.3016	+	133.924i	0.120274	+	0.165543i	−0.744635	+	0.667472i	$0.767376\pi$
$810$	−43.6206	+	104.036i	−0.0538526	+	0.128439i
$811$	−1142.88	−	830.354i	−1.40923	−	1.02386i	−0.993434	−	0.114406i	$-0.963503\pi$
$811$	−1142.88	−	830.354i	−1.40923	−	1.02386i	−0.415795	−	0.909458i	$-0.636497\pi$
$812$	87.4601	−	552.201i	0.107709	−	0.680051i
$813$	6.55004	+	1.03742i	0.00805663	+	0.00127604i
$814$	157.260	−	216.450i	0.193194	−	0.265909i
$815$	258.624	+	108.437i	0.317330	+	0.133052i
$816$	−470.259	+	341.663i	−0.576297	+	0.418705i
$817$	41.8507	+	82.1367i	0.0512249	+	0.100535i
$818$	1101.05	+	1101.05i	1.34602	+	1.34602i
$819$	105.775	+	34.3683i	0.129151	+	0.0419638i
$820$	598.216	−	506.471i	0.729532	−	0.617647i
$821$	−8.10159	−	24.9341i	−0.00986796	−	0.0303704i	0.946001	−	0.324163i	$-0.105083\pi$
$821$	−8.10159	−	24.9341i	−0.00986796	−	0.0303704i	−0.955869	+	0.293792i	$0.905083\pi$
$822$	201.860	+	102.853i	0.245572	+	0.125125i
$823$	161.597	+	1020.28i	0.196351	+	1.23971i	0.867141	+	0.498064i	$0.165955\pi$
$823$	161.597	+	1020.28i	0.196351	+	1.23971i	−0.670790	+	0.741648i	$0.734045\pi$
$824$		−	699.737i		−	0.849195i
$825$	189.904	+	1.64117i	0.230187	+	0.00198929i
$826$	1300.44			1.57439
$827$	−912.309	+	144.496i	−1.10315	+	0.174723i	−0.681346	−	0.731962i	$-0.738605\pi$
$827$	−912.309	+	144.496i	−1.10315	+	0.174723i	−0.421809	+	0.906685i	$0.638605\pi$
$828$	8.41488	−	16.5151i	0.0101629	−	0.0199458i
$829$	−835.891	+	271.597i	−1.00831	+	0.327621i	−0.766182	−	0.642623i	$-0.777846\pi$
$829$	−835.891	+	271.597i	−1.00831	+	0.327621i	−0.242130	+	0.970244i	$0.577846\pi$
$830$	−1264.20	+	517.260i	−1.52313	+	0.623205i
$831$	151.699	−	466.882i	0.182550	−	0.561831i
$832$	12.7530	−	12.7530i	0.0153281	−	0.0153281i
$833$	375.544	−	191.349i	0.450833	−	0.229711i
$834$	−189.167	−	260.366i	−0.226819	−	0.312190i
$835$	−113.532	−	482.061i	−0.135966	−	0.577319i
$836$	105.239	+	76.4605i	0.125884	+	0.0914600i
$837$	−39.3743	+	248.600i	−0.0470422	+	0.297013i
$838$	1139.50	+	180.480i	1.35979	+	0.215369i
$839$	−164.384	+	226.255i	−0.195928	+	0.269672i	−0.895666	−	0.444728i	$-0.853300\pi$
$839$	−164.384	+	226.255i	−0.195928	+	0.269672i	0.699737	+	0.714400i	$0.253300\pi$
$840$	−94.6259	−	155.924i	−0.112650	−	0.185623i
$841$	1339.86	−	973.467i	1.59318	−	1.15751i
$842$	804.838	+	1579.58i	0.955865	+	1.87599i
$843$	−340.255	−	340.255i	−0.403624	−	0.403624i
$844$	309.918	+	100.698i	0.367201	+	0.119311i
$845$	−474.909	−	293.855i	−0.562022	−	0.347757i
$846$	164.805	+	507.219i	0.194805	+	0.599549i
$847$	−444.051	−	226.255i	−0.524263	−	0.267125i
$848$	−25.2480	−	159.410i	−0.0297736	−	0.187983i
$849$		−	72.9421i		−	0.0859153i
$850$	−156.162	−	1044.30i	−0.183720	−	1.22859i
$851$	−65.8102			−0.0773328
$852$	292.249	−	46.2877i	0.343015	−	0.0543283i
$853$	224.470	−	440.547i	0.263154	−	0.516468i	−0.721188	−	0.692739i	$-0.756404\pi$
$853$	224.470	−	440.547i	0.263154	−	0.516468i	0.984342	+	0.176271i	$0.0564036\pi$
$854$	1280.14	−	415.942i	1.49899	−	0.487052i
$855$	14.4403	+	194.206i	0.0168892	+	0.227142i
$856$	−220.935	+	679.969i	−0.258102	+	0.794356i
$857$	−262.869	+	262.869i	−0.306732	+	0.306732i	−0.843640	−	0.536909i	$-0.819592\pi$
$857$	−262.869	+	262.869i	−0.306732	+	0.306732i	0.536909	+	0.843640i	$0.319592\pi$
$858$	−128.448	+	65.4476i	−0.149707	+	0.0762793i
$859$	406.732	+	559.818i	0.473494	+	0.651709i	0.977238	−	0.212144i	$-0.0680446\pi$
$859$	406.732	+	559.818i	0.473494	+	0.651709i	−0.503744	+	0.863853i	$0.668045\pi$
$860$	−61.4458	−	52.9406i	−0.0714486	−	0.0615588i
$861$	470.891	+	342.122i	0.546912	+	0.397355i
$862$	108.261	−	683.533i	0.125593	−	0.792962i
$863$	−628.852	−	99.6003i	−0.728681	−	0.115412i	−0.218938	−	0.975739i	$-0.570259\pi$
$863$	−628.852	−	99.6003i	−0.728681	−	0.115412i	−0.509743	+	0.860327i	$0.670259\pi$
$864$	−99.9742	+	137.603i	−0.115711	+	0.159262i
$865$	48.2637	−	581.133i	0.0557961	−	0.671830i
$866$	−606.609	+	440.727i	−0.700472	+	0.508923i
$867$	4.04362	+	7.93605i	0.00466392	+	0.00915346i
$868$	383.211	+	383.211i	0.441487	+	0.441487i
$869$	−14.9595	−	4.86064i	−0.0172146	−	0.00559337i
$870$	−257.821	+	1053.82i	−0.296346	+	1.21129i
$871$	168.458	+	518.461i	0.193408	+	0.595248i
$872$	38.1443	+	19.4355i	0.0437435	+	0.0222884i
$873$	45.5237	+	287.425i	0.0521463	+	0.329239i
$874$		−	88.0211i		−	0.100711i
$875$	610.844	−	40.1149i	0.698108	−	0.0458456i
$876$	−33.9067			−0.0387063
$877$	1441.39	−	228.294i	1.64355	−	0.260312i	0.734992	−	0.678076i	$-0.237186\pi$
$877$	1441.39	−	228.294i	1.64355	−	0.260312i	0.908556	+	0.417764i	$0.137186\pi$
$878$	−19.7372	+	38.7364i	−0.0224797	+	0.0441189i
$879$	13.7890	−	4.48031i	0.0156871	−	0.00509705i
$880$	424.292	+	103.805i	0.482150	+	0.117960i
$881$	458.690	−	1411.70i	0.520647	−	1.60239i	−0.252118	−	0.967696i	$-0.581127\pi$
$881$	458.690	−	1411.70i	0.520647	−	1.60239i	0.772766	−	0.634691i	$-0.218873\pi$
$882$	133.037	−	133.037i	0.150836	−	0.150836i
$883$	947.526	−	482.789i	1.07308	−	0.546760i	0.174087	−	0.984730i	$-0.444303\pi$
$883$	947.526	−	482.789i	1.07308	−	0.546760i	0.898989	+	0.437971i	$0.144303\pi$
$884$	171.265	+	235.726i	0.193739	+	0.266658i
$885$	−914.193	−	75.9245i	−1.03299	−	0.0857904i
$886$	−204.558	−	148.620i	−0.230878	−	0.167743i
$887$	−115.490	+	729.176i	−0.130203	+	0.822070i	0.832996	+	0.553279i	$0.186624\pi$
$887$	−115.490	+	729.176i	−0.130203	+	0.822070i	−0.963199	+	0.268790i	$0.913376\pi$
$888$	179.023	+	28.3545i	0.201603	+	0.0319308i
$889$	261.076	−	359.341i	0.293674	−	0.404208i
$890$	−75.3692	+	87.4777i	−0.0846845	+	0.0982896i
$891$	31.9338	−	23.2012i	0.0358404	−	0.0260395i
$892$	−388.037	−	761.565i	−0.435019	−	0.853773i
$893$	651.006	+	651.006i	0.729010	+	0.729010i
$894$	−170.223	−	55.3089i	−0.190406	−	0.0618668i
$895$	570.885	−	42.4484i	0.637860	−	0.0474284i
$896$	−189.107	−	582.012i	−0.211057	−	0.649567i
$897$	31.5953	+	16.0986i	0.0352233	+	0.0179471i
$898$	−93.8014	−	592.239i	−0.104456	−	0.659508i
$899$			2420.59i			2.69254i
$900$	−76.4649	−	153.332i	−0.0849610	−	0.170369i
$901$	136.514			0.151514
$902$	−745.168	+	118.023i	−0.826128	+	0.130846i
$903$	27.3432	−	53.6641i	0.0302804	−	0.0594286i
$904$	−484.843	+	157.535i	−0.536331	+	0.174265i
$905$	874.335	−	1413.04i	0.966116	−	1.56137i
$906$	156.904	−	482.901i	0.173183	−	0.533004i
$907$	−183.472	+	183.472i	−0.202284	+	0.202284i	−0.800978	−	0.598694i	$-0.795687\pi$
$907$	−183.472	+	183.472i	−0.202284	+	0.202284i	0.598694	+	0.800978i	$0.295687\pi$
$908$	−295.125	+	150.374i	−0.325028	+	0.165610i
$909$	169.672	+	233.533i	0.186658	+	0.256912i
$910$	−397.257	+	241.085i	−0.436546	+	0.264928i
$911$	−196.859	−	143.026i	−0.216091	−	0.156999i	0.474474	−	0.880269i	$-0.342638\pi$
$911$	−196.859	−	143.026i	−0.216091	−	0.156999i	−0.690565	+	0.723270i	$0.742638\pi$
$912$	−70.0698	+	442.403i	−0.0768309	+	0.485091i
$913$	472.053	+	74.7658i	0.517035	+	0.0818902i
$914$	−517.174	+	711.830i	−0.565836	+	0.778807i
$915$	−924.202	+	217.662i	−1.01006	+	0.237882i
$916$	315.900	−	229.515i	0.344869	−	0.250562i
$917$	−127.495	−	250.223i	−0.139035	−	0.272871i
$918$	−155.187	−	155.187i	−0.169049	−	0.169049i
$919$	−1024.36	−	332.835i	−1.11465	−	0.362170i	−0.306924	−	0.951734i	$-0.599300\pi$
$919$	−1024.36	−	332.835i	−1.11465	−	0.362170i	−0.807722	+	0.589564i	$0.799300\pi$
$920$	−22.0216	−	53.8214i	−0.0239365	−	0.0585015i
$921$	100.426	+	309.078i	0.109040	+	0.335590i
$922$	1646.70	+	839.034i	1.78600	+	0.910015i
$923$	88.5534	+	559.104i	0.0959409	+	0.605747i
$924$		−	84.9894i		−	0.0919799i
$925$	−361.819	+	489.056i	−0.391155	+	0.528710i
$926$	1099.81			1.18770
$927$	482.125	−	76.3610i	0.520091	−	0.0823744i
$928$	−742.604	+	1457.44i	−0.800220	+	1.57052i
$929$	−105.482	+	34.2732i	−0.113544	+	0.0368926i	−0.365238	−	0.930914i	$-0.619012\pi$
$929$	−105.482	+	34.2732i	−0.113544	+	0.0368926i	0.251694	+	0.967807i	$0.419012\pi$
$930$	−679.522	−	802.615i	−0.730669	−	0.863027i
$931$	100.365	−	308.891i	0.107803	−	0.331784i
$932$	−106.547	+	106.547i	−0.114321	+	0.114321i
$933$	839.265	−	427.627i	0.899533	−	0.458335i
$934$	−435.217	−	599.025i	−0.465971	−	0.641354i
$935$	−142.861	+	340.725i	−0.152792	+	0.364411i
$936$	−79.0124	−	57.4059i	−0.0844150	−	0.0613311i
$937$	68.6000	−	433.123i	0.0732123	−	0.462245i	−0.923660	−	0.383213i	$-0.874817\pi$
$937$	68.6000	−	433.123i	0.0732123	−	0.462245i	0.996872	−	0.0790311i	$-0.0251826\pi$
$938$	−873.217	−	138.304i	−0.930934	−	0.147446i
$939$	502.078	−	691.051i	0.534694	−	0.735944i
$940$	−747.022	−	313.215i	−0.794705	−	0.333208i
$941$	−916.685	+	666.010i	−0.974160	+	0.707769i	−0.956396	−	0.292073i	$-0.905655\pi$
$941$	−916.685	+	666.010i	−0.974160	+	0.707769i	−0.0177642	+	0.999842i	$0.505655\pi$
$942$	159.201	+	312.449i	0.169003	+	0.331687i
$943$	131.224	+	131.224i	0.139156	+	0.139156i
$944$	−2006.66	−	652.004i	−2.12570	−	0.690682i
$945$	97.1064	−	82.2137i	0.102758	−	0.0869987i
$946$	24.1244	+	74.2472i	0.0255015	+	0.0784854i
$947$	1188.01	+	605.323i	1.25450	+	0.639201i	0.949684	−	0.313209i	$-0.101404\pi$
$947$	1188.01	+	605.323i	1.25450	+	0.639201i	0.304819	+	0.952410i	$0.401404\pi$
$948$	2.22001	+	14.0166i	0.00234178	+	0.0147854i
$949$		−	64.8672i		−	0.0683532i
$950$	−654.112	−	483.932i	−0.688539	−	0.509402i
$951$	263.931			0.277530
$952$	350.463	−	55.5078i	0.368133	−	0.0583065i
$953$	−604.025	+	1185.47i	−0.633814	+	1.24393i	0.321099	+	0.947046i	$0.395948\pi$
$953$	−604.025	+	1185.47i	−0.633814	+	1.24393i	−0.954913	+	0.296885i	$0.904052\pi$
$954$	57.9549	−	18.8307i	0.0607494	−	0.0197387i
$955$	672.498	−	275.160i	0.704187	−	0.288125i
$956$	−77.3490	+	238.056i	−0.0809090	+	0.249012i
$957$	268.422	−	268.422i	0.280483	−	0.280483i
$958$	−116.717	+	59.4704i	−0.121834	+	0.0620777i
$959$	−150.192	−	206.721i	−0.156613	−	0.215559i
$960$	−4.72989	−	20.0833i	−0.00492697	−	0.0209201i
$961$	−1120.79	−	814.303i	−1.16628	−	0.847349i
$962$	72.2407	−	456.110i	0.0750943	−	0.474127i
$963$	−492.614	−	78.0225i	−0.511541	−	0.0810202i
$964$	−514.160	+	707.680i	−0.533361	+	0.734108i
$965$	−261.535	−	430.956i	−0.271021	−	0.446586i
$966$	−46.5255	+	33.8027i	−0.0481630	+	0.0349925i
$967$	−428.805	−	841.577i	−0.443438	−	0.870296i	−0.999240	−	0.0389815i	$-0.987589\pi$
$967$	−428.805	−	841.577i	−0.443438	−	0.870296i	0.555802	−	0.831315i	$-0.312411\pi$
$968$	309.456	+	309.456i	0.319686	+	0.319686i
$969$	−360.318	−	117.075i	−0.371846	−	0.120820i
$970$	−1033.95	−	639.769i	−1.06593	−	0.659556i
$971$	2.95085	+	9.08178i	0.00303898	+	0.00935302i	0.952565	−	0.304337i	$-0.0984348\pi$
$971$	2.95085	+	9.08178i	0.00303898	+	0.00935302i	−0.949526	+	0.313690i	$0.898435\pi$
$972$	−31.7310	−	16.1677i	−0.0326450	−	0.0166335i
$973$	56.7829	+	358.513i	0.0583585	+	0.368461i
$974$		−	703.150i		−	0.721920i
$975$	293.341	−	146.286i	0.300863	−	0.150037i
$976$	−2183.87			−2.23757
$977$	−1517.13	+	240.290i	−1.55285	+	0.245947i	−0.873116	−	0.487512i	$-0.837905\pi$
$977$	−1517.13	+	240.290i	−1.55285	+	0.245947i	−0.679734	+	0.733459i	$0.737905\pi$
$978$	−110.563	+	216.992i	−0.113050	+	0.221874i
$979$	38.4248	−	12.4850i	0.0392490	−	0.0127528i
$980$	21.1892	+	284.972i	0.0216216	+	0.290787i
$981$	−9.22860	+	28.4027i	−0.00940734	+	0.0289528i
$982$	1028.90	−	1028.90i	1.04776	−	1.04776i
$983$	−1381.30	+	703.809i	−1.40519	+	0.715980i	−0.981791	−	0.189963i	$-0.939163\pi$
$983$	−1381.30	+	703.809i	−1.40519	+	0.715980i	−0.423399	+	0.905943i	$0.639163\pi$
$984$	−300.430	−	413.506i	−0.305315	−	0.420230i
$985$	751.550	+	647.522i	0.762995	+	0.657382i
$986$	−1707.53	−	1240.59i	−1.73177	−	1.25821i
$987$	94.0976	−	594.109i	0.0953370	−	0.601934i
$988$	221.763	+	35.1238i	0.224456	+	0.0355504i
$989$	11.2872	−	15.5355i	0.0114127	−	0.0157083i
$990$	−13.6499	+	164.356i	−0.0137878	+	0.166016i
$991$	192.187	−	139.632i	0.193933	−	0.140900i	−0.486582	−	0.873635i	$-0.661756\pi$
$991$	192.187	−	139.632i	0.193933	−	0.140900i	0.680514	+	0.732735i	$0.261756\pi$
$992$	−719.835	−	1412.75i	−0.725640	−	1.42415i
$993$	33.2552	+	33.2552i	0.0334896	+	0.0334896i
$994$	−873.114	−	283.692i	−0.878385	−	0.285404i
$995$	−416.088	+	1700.72i	−0.418179	+	1.70927i
$996$	−133.249	−	410.097i	−0.133784	−	0.411744i
$997$	1117.74	+	569.517i	1.12110	+	0.571231i	0.913441	−	0.406970i	$-0.133415\pi$
$997$	1117.74	+	569.517i	1.12110	+	0.571231i	0.207662	+	0.978201i	$0.433415\pi$
$998$	190.393	+	1202.10i	0.190775	+	1.20451i
$999$			126.443i			0.126570i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	75.3.k.a.13.7	✓	80
3.2	odd	2		225.3.r.b.163.4		80
5.2	odd	4		375.3.k.c.82.7		80
5.3	odd	4		375.3.k.b.82.4		80
5.4	even	2		375.3.k.a.43.4		80
25.2	odd	20	inner	75.3.k.a.52.7	yes	80
25.11	even	5		375.3.k.c.343.7		80
25.14	even	10		375.3.k.b.343.4		80
25.23	odd	20		375.3.k.a.157.4		80
75.2	even	20		225.3.r.b.127.4		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.3.k.a.13.7	✓	80	1.1	even	1	trivial
75.3.k.a.52.7	yes	80	25.2	odd	20	inner
225.3.r.b.127.4		80	75.2	even	20
225.3.r.b.163.4		80	3.2	odd	2
375.3.k.a.43.4		80	5.4	even	2
375.3.k.a.157.4		80	25.23	odd	20
375.3.k.b.82.4		80	5.3	odd	4
375.3.k.b.343.4		80	25.14	even	10
375.3.k.c.82.7		80	5.2	odd	4
375.3.k.c.343.7		80	25.11	even	5

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)

\(f(q)\)	\(=\)	\(q+(2.47604 - 0.392165i) q^{2} +(-0.786335 + 1.54327i) q^{3} +(2.17273 - 0.705963i) q^{4} +(4.85676 + 1.18822i) q^{5} +(-1.34178 + 4.12956i) q^{6} +(3.46290 - 3.46290i) q^{7} +(-3.83175 + 1.95238i) q^{8} +(-1.76336 - 2.42705i) q^{9} +O(q^{10})\)	\(q+(2.47604 - 0.392165i) q^{2} +(-0.786335 + 1.54327i) q^{3} +(2.17273 - 0.705963i) q^{4} +(4.85676 + 1.18822i) q^{5} +(-1.34178 + 4.12956i) q^{6} +(3.46290 - 3.46290i) q^{7} +(-3.83175 + 1.95238i) q^{8} +(-1.76336 - 2.42705i) q^{9} +(12.4915 + 1.03743i) q^{10} +(-3.54820 - 2.57791i) q^{11} +(-0.619003 + 3.90823i) q^{12} +(-7.47687 - 1.18422i) q^{13} +(7.21623 - 9.93229i) q^{14} +(-5.65279 + 6.56094i) q^{15} +(-16.1148 + 11.7081i) q^{16} +(-7.64887 - 15.0117i) q^{17} +(-5.31794 - 5.31794i) q^{18} +(-12.3474 - 4.01191i) q^{19} +(11.3913 - 0.847003i) q^{20} +(2.62119 + 8.06718i) q^{21} +(-9.79642 - 4.99153i) q^{22} +(0.423071 + 2.67116i) q^{23} -7.44864i q^{24} +(22.1762 + 11.5418i) q^{25} -18.9774 q^{26} +(5.13218 - 0.812857i) q^{27} +(5.07927 - 9.96863i) q^{28} +(47.5258 - 15.4421i) q^{29} +(-11.4235 + 18.4620i) q^{30} +(-14.9686 + 46.0686i) q^{31} +(-23.1458 + 23.1458i) q^{32} +(6.76848 - 3.44871i) q^{33} +(-24.8259 - 34.1700i) q^{34} +(20.9332 - 12.7038i) q^{35} +(-5.54470 - 4.02846i) q^{36} +(-3.80667 + 24.0344i) q^{37} +(-32.1459 - 5.09142i) q^{38} +(7.70689 - 10.6076i) q^{39} +(-20.9298 + 4.92924i) q^{40} +(55.5143 - 40.3335i) q^{41} +(9.65382 + 18.9467i) q^{42} +(-5.02079 - 5.02079i) q^{43} +(-9.52918 - 3.09622i) q^{44} +(-5.68032 - 13.8829i) q^{45} +(2.09508 + 6.44798i) q^{46} +(-63.1847 - 32.1942i) q^{47} +(-5.39711 - 34.0760i) q^{48} +25.0167i q^{49} +(59.4355 + 19.8812i) q^{50} +29.1817 q^{51} +(-17.0812 + 2.70540i) q^{52} +(-3.67852 + 7.21950i) q^{53} +(12.3887 - 4.02533i) q^{54} +(-14.1696 - 16.7364i) q^{55} +(-6.50809 + 20.0299i) q^{56} +(15.9007 - 15.9007i) q^{57} +(111.620 - 56.8731i) q^{58} +(62.2613 + 85.6954i) q^{59} +(-7.65020 + 18.2458i) q^{60} +(88.6985 + 64.4432i) q^{61} +(-18.9963 + 119.938i) q^{62} +(-14.5110 - 2.29831i) q^{63} +(-1.40038 + 1.92746i) q^{64} +(-34.9062 - 14.6357i) q^{65} +(15.4065 - 11.1935i) q^{66} +(-32.6932 - 64.1640i) q^{67} +(-27.2167 - 27.2167i) q^{68} +(-4.45500 - 1.44752i) q^{69} +(46.8493 - 39.6643i) q^{70} +(-23.1076 - 71.1180i) q^{71} +(11.4953 + 5.85713i) q^{72} +(1.34047 + 8.46341i) q^{73} +61.0028i q^{74} +(-35.2501 + 25.1482i) q^{75} -29.6598 q^{76} +(-21.2141 + 3.35998i) q^{77} +(14.9226 - 29.2872i) q^{78} +(3.41089 - 1.10827i) q^{79} +(-92.1778 + 37.7155i) q^{80} +(-2.78115 + 8.55951i) q^{81} +(121.638 - 121.638i) q^{82} +(-97.0960 + 49.4729i) q^{83} +(11.3903 + 15.6773i) q^{84} +(-19.3114 - 81.9970i) q^{85} +(-14.4006 - 10.4627i) q^{86} +(-13.5399 + 85.4877i) q^{87} +(18.6289 + 2.95052i) q^{88} +(-5.41469 + 7.45268i) q^{89} +(-19.5090 - 32.1468i) q^{90} +(-29.9925 + 21.7908i) q^{91} +(2.80496 + 5.50505i) q^{92} +(-59.3259 - 59.3259i) q^{93} +(-169.073 - 54.9351i) q^{94} +(-55.2013 - 34.1564i) q^{95} +(-17.5198 - 53.9205i) q^{96} +(-86.4301 - 44.0383i) q^{97} +(9.81067 + 61.9421i) q^{98} +13.1574i 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

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