LMFDB - Embedded newform 370.2.v.b.169.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(99,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 5]))

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

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

chi := DirichletCharacter("370.99");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.v (of order $18$, degree $6$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			169.1
Character	$\chi$	$=$	370.169
Dual form			370.2.v.b.289.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 + 0.342020i) q^{2} +(-1.06706 - 2.93174i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.98508 + 1.02929i) q^{5} -3.11989i q^{6} +(-4.22864 - 0.745624i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-5.15832 + 4.32834i) q^{9} +O(q^{10})$	\(q+(0.939693 + 0.342020i) q^{2} +(-1.06706 - 2.93174i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.98508 + 1.02929i) q^{5} -3.11989i q^{6} +(-4.22864 - 0.745624i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-5.15832 + 4.32834i) q^{9} +(-2.21741 + 0.288281i) q^{10} +(1.53583 + 2.66013i) q^{11} +(1.06706 - 2.93174i) q^{12} +(-1.79913 - 1.50965i) q^{13} +(-3.71861 - 2.14694i) q^{14} +(5.13583 + 4.72142i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-0.650675 + 0.545981i) q^{17} +(-6.32761 + 2.30306i) q^{18} +(-1.67595 - 4.60463i) q^{19} +(-2.18228 - 0.487502i) q^{20} +(2.32626 + 13.1929i) q^{21} +(0.533387 + 3.02499i) q^{22} +(2.03182 - 3.51921i) q^{23} +(2.00543 - 2.38997i) q^{24} +(2.88111 - 4.08647i) q^{25} +(-1.17430 - 2.03394i) q^{26} +(10.0881 + 5.82437i) q^{27} +(-2.76005 - 3.28930i) q^{28} +(-5.82054 + 3.36049i) q^{29} +(3.21128 + 6.19324i) q^{30} -1.08237i q^{31} +(-0.173648 + 0.984808i) q^{32} +(6.15997 - 7.34117i) q^{33} +(-0.798171 + 0.290511i) q^{34} +(9.16168 - 2.87239i) q^{35} -6.73370 q^{36} +(-5.56641 - 2.45256i) q^{37} -4.90014i q^{38} +(-2.50610 + 6.88545i) q^{39} +(-1.88394 - 1.20449i) q^{40} +(-9.54326 - 8.00775i) q^{41} +(-2.32626 + 13.1929i) q^{42} -4.64976 q^{43} +(-0.533387 + 3.02499i) q^{44} +(5.78455 - 13.9015i) q^{45} +(3.11293 - 2.61206i) q^{46} +(0.254210 + 0.146768i) q^{47} +(2.70190 - 1.55994i) q^{48} +(10.7476 + 3.91182i) q^{49} +(4.10501 - 2.85463i) q^{50} +(2.29499 + 1.32501i) q^{51} +(-0.407829 - 2.31291i) q^{52} +(-3.92105 + 0.691388i) q^{53} +(7.48767 + 8.92345i) q^{54} +(-5.78680 - 3.69976i) q^{55} +(-1.46859 - 4.03493i) q^{56} +(-11.7112 + 9.82687i) q^{57} +(-6.61888 + 1.16709i) q^{58} +(11.5194 - 2.03118i) q^{59} +(0.899406 + 6.91806i) q^{60} +(-0.829028 + 0.987998i) q^{61} +(0.370192 - 1.01709i) q^{62} +(25.0400 - 14.4569i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(5.12528 + 1.14494i) q^{65} +(8.29930 - 4.79161i) q^{66} +(6.59551 + 1.16297i) q^{67} -0.849396 q^{68} +(-12.4855 - 2.20153i) q^{69} +(9.59158 + 0.434313i) q^{70} +(12.1478 - 4.42144i) q^{71} +(-6.32761 - 2.30306i) q^{72} +13.9817i q^{73} +(-4.39189 - 4.20848i) q^{74} +(-15.0548 - 4.08613i) q^{75} +(1.67595 - 4.60463i) q^{76} +(-4.51101 - 12.3939i) q^{77} +(-4.70993 + 5.61307i) q^{78} +(-7.28405 - 1.28437i) q^{79} +(-1.35836 - 1.77619i) q^{80} +(2.80297 - 15.8964i) q^{81} +(-6.22892 - 10.7888i) q^{82} +(-6.19433 - 7.38212i) q^{83} +(-6.69821 + 11.6016i) q^{84} +(0.729669 - 1.75355i) q^{85} +(-4.36935 - 1.59031i) q^{86} +(16.0630 + 13.4784i) q^{87} +(-1.53583 + 2.66013i) q^{88} +(11.8301 - 2.08597i) q^{89} +(10.1903 - 11.0847i) q^{90} +(6.48224 + 7.72523i) q^{91} +(3.81857 - 1.38985i) q^{92} +(-3.17322 + 1.15496i) q^{93} +(0.188681 + 0.224862i) q^{94} +(8.06641 + 7.41553i) q^{95} +(3.07249 - 0.541763i) q^{96} +(-2.11350 + 3.66068i) q^{97} +(8.76155 + 7.35181i) q^{98} +(-19.4362 - 7.07421i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) $ 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9	$ 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) $ 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9 - 9 * q^10 + 6 * q^11 + 3 * q^13 + 9 * q^14 - 6 * q^15 - 3 * q^17 - 12 * q^18 + 3 * q^19 + 3 * q^20 + 12 * q^21 + 3 * q^22 + 18 * q^23 - 18 * q^25 - 27 * q^26 + 18 * q^30 + 66 * q^33 + 21 * q^34 + 9 * q^35 - 72 * q^36 - 6 * q^37 + 12 * q^39 + 12 * q^40 - 57 * q^41 - 12 * q^42 - 60 * q^43 - 3 * q^44 + 9 * q^45 - 21 * q^46 + 18 * q^47 - 6 * q^49 + 6 * q^50 + 3 * q^52 + 6 * q^53 + 3 * q^55 - 30 * q^57 - 15 * q^58 - 12 * q^59 - 9 * q^60 + 42 * q^61 + 12 * q^62 + 9 * q^63 - 30 * q^64 - 15 * q^65 + 18 * q^67 + 24 * q^68 + 36 * q^69 - 12 * q^70 + 18 * q^71 - 12 * q^72 + 3 * q^74 - 78 * q^75 - 3 * q^76 - 21 * q^77 - 6 * q^78 - 24 * q^79 - 36 * q^81 - 27 * q^82 - 30 * q^83 + 12 * q^84 - 30 * q^85 - 18 * q^86 + 30 * q^87 - 6 * q^88 + 3 * q^89 + 57 * q^91 - 15 * q^92 - 60 * q^93 + 3 * q^94 + 6 * q^95 - 84 * q^97 + 6 * q^98 - 45 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{11}{18}\right)$	$-1$

Coefficient data

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

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

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

$2$	0.939693	+	0.342020i	0.664463	+	0.241845i
$2$	0.939693	+	0.342020i	0.664463	+	0.241845i
$3$	−1.06706	−	2.93174i	−0.616070	−	1.69264i	−0.716405	−	0.697685i	$-0.754214\pi$
$3$	−1.06706	−	2.93174i	−0.616070	−	1.69264i	0.100335	−	0.994954i	$-0.468009\pi$
$4$	0.766044	+	0.642788i	0.383022	+	0.321394i
$5$	−1.98508	+	1.02929i	−0.887756	+	0.460314i
$5$	−1.98508	+	1.02929i	−0.887756	+	0.460314i
$6$		−	3.11989i		−	1.27369i
$7$	−4.22864	−	0.745624i	−1.59828	−	0.281819i	−0.697659	−	0.716430i	$-0.745775\pi$
$7$	−4.22864	−	0.745624i	−1.59828	−	0.281819i	−0.900618	+	0.434611i	$0.856886\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	−5.15832	+	4.32834i	−1.71944	+	1.44278i
$10$	−2.21741	+	0.288281i	−0.701206	+	0.0911626i
$11$	1.53583	+	2.66013i	0.463069	+	0.802059i	0.999112	−	0.0421316i	$-0.0134149\pi$
$11$	1.53583	+	2.66013i	0.463069	+	0.802059i	−0.536043	+	0.844191i	$0.680082\pi$
$12$	1.06706	−	2.93174i	0.308035	−	0.846319i
$13$	−1.79913	−	1.50965i	−0.498988	−	0.418701i	0.358246	−	0.933627i	$-0.383375\pi$
$13$	−1.79913	−	1.50965i	−0.498988	−	0.418701i	−0.857234	+	0.514927i	$0.827819\pi$
$14$	−3.71861	−	2.14694i	−0.993840	−	0.573794i
$15$	5.13583	+	4.72142i	1.32607	+	1.21906i
$16$	0.173648	+	0.984808i	0.0434120	+	0.246202i
$17$	−0.650675	+	0.545981i	−0.157812	+	0.132420i	−0.718275	−	0.695760i	$-0.755068\pi$
$17$	−0.650675	+	0.545981i	−0.157812	+	0.132420i	0.560463	+	0.828180i	$0.310623\pi$
$18$	−6.32761	+	2.30306i	−1.49143	+	0.542837i
$19$	−1.67595	−	4.60463i	−0.384489	−	1.05637i	−0.969445	−	0.245309i	$-0.921111\pi$
$19$	−1.67595	−	4.60463i	−0.384489	−	1.05637i	0.584956	−	0.811065i	$-0.301112\pi$
$20$	−2.18228	−	0.487502i	−0.487972	−	0.109009i
$21$	2.32626	+	13.1929i	0.507632	+	2.87893i
$22$	0.533387	+	3.02499i	0.113718	+	0.644929i
$23$	2.03182	−	3.51921i	0.423664	−	0.733807i	−0.572631	−	0.819813i	$-0.694077\pi$
$23$	2.03182	−	3.51921i	0.423664	−	0.733807i	0.996295	+	0.0860065i	$0.0274106\pi$
$24$	2.00543	−	2.38997i	0.409356	−	0.487851i
$25$	2.88111	−	4.08647i	0.576222	−	0.817293i
$26$	−1.17430	−	2.03394i	−0.230298	−	0.398889i
$27$	10.0881	+	5.82437i	1.94146	+	1.12090i
$28$	−2.76005	−	3.28930i	−0.521601	−	0.621620i
$29$	−5.82054	+	3.36049i	−1.08085	+	0.624028i	−0.931125	−	0.364701i	$-0.881171\pi$
$29$	−5.82054	+	3.36049i	−1.08085	+	0.624028i	−0.149723	+	0.988728i	$0.547838\pi$
$30$	3.21128	+	6.19324i	0.586297	+	1.13073i
$31$		−	1.08237i		−	0.194399i	−0.995265	−	0.0971995i	$-0.969012\pi$
$31$		−	1.08237i		−	0.194399i	0.995265	−	0.0971995i	$-0.0309885\pi$
$32$	−0.173648	+	0.984808i	−0.0306970	+	0.174091i
$33$	6.15997	−	7.34117i	1.07231	−	1.27793i
$34$	−0.798171	+	0.290511i	−0.136885	+	0.0498221i
$35$	9.16168	−	2.87239i	1.54861	−	0.485523i
$36$	−6.73370			−1.12228
$37$	−5.56641	−	2.45256i	−0.915112	−	0.403199i
$37$	−5.56641	−	2.45256i	−0.915112	−	0.403199i
$38$		−	4.90014i		−	0.794908i
$39$	−2.50610	+	6.88545i	−0.401297	+	1.10256i
$40$	−1.88394	−	1.20449i	−0.297876	−	0.190446i
$41$	−9.54326	−	8.00775i	−1.49041	−	1.25060i	−0.894119	−	0.447829i	$-0.852197\pi$
$41$	−9.54326	−	8.00775i	−1.49041	−	1.25060i	−0.596288	−	0.802771i	$-0.703358\pi$
$42$	−2.32626	+	13.1929i	−0.358950	+	2.03571i
$43$	−4.64976			−0.709082			−0.354541	−	0.935040i	$-0.615363\pi$
$43$	−4.64976			−0.709082			−0.354541	+	0.935040i	$0.615363\pi$
$44$	−0.533387	+	3.02499i	−0.0804111	+	0.456034i
$45$	5.78455	−	13.9015i	0.862310	−	2.07232i
$46$	3.11293	−	2.61206i	0.458976	−	0.385127i
$47$	0.254210	+	0.146768i	0.0370803	+	0.0214083i	0.518426	−	0.855123i	$-0.326518\pi$
$47$	0.254210	+	0.146768i	0.0370803	+	0.0214083i	−0.481345	+	0.876531i	$0.659852\pi$
$48$	2.70190	−	1.55994i	0.389986	−	0.225159i
$49$	10.7476	+	3.91182i	1.53538	+	0.558831i
$50$	4.10501	−	2.85463i	0.580536	−	0.403705i
$51$	2.29499	+	1.32501i	0.321362	+	0.185539i
$52$	−0.407829	−	2.31291i	−0.0565557	−	0.320743i
$53$	−3.92105	+	0.691388i	−0.538598	+	0.0949694i	−0.436329	−	0.899787i	$-0.643722\pi$
$53$	−3.92105	+	0.691388i	−0.538598	+	0.0949694i	−0.102269	+	0.994757i	$0.532610\pi$
$54$	7.48767	+	8.92345i	1.01894	+	1.21433i
$55$	−5.78680	−	3.69976i	−0.780291	−	0.498876i
$56$	−1.46859	−	4.03493i	−0.196249	−	0.539190i
$57$	−11.7112	+	9.82687i	−1.55119	+	1.30160i
$58$	−6.61888	+	1.16709i	−0.869101	+	0.153246i
$59$	11.5194	−	2.03118i	1.49970	−	0.264437i	0.637280	−	0.770632i	$-0.280059\pi$
$59$	11.5194	−	2.03118i	1.49970	−	0.264437i	0.862419	+	0.506195i	$0.168948\pi$
$60$	0.899406	+	6.91806i	0.116113	+	0.893118i
$61$	−0.829028	+	0.987998i	−0.106146	+	0.126500i	−0.816502	−	0.577343i	$-0.804090\pi$
$61$	−0.829028	+	0.987998i	−0.106146	+	0.126500i	0.710356	+	0.703843i	$0.248534\pi$
$62$	0.370192	−	1.01709i	0.0470144	−	0.129171i
$63$	25.0400	−	14.4569i	3.15474	−	1.82139i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	5.12528	+	1.14494i	0.635713	+	0.142013i
$66$	8.29930	−	4.79161i	1.02157	−	0.589806i
$67$	6.59551	+	1.16297i	0.805770	+	0.142079i	0.561337	−	0.827587i	$-0.310287\pi$
$67$	6.59551	+	1.16297i	0.805770	+	0.142079i	0.244433	+	0.969666i	$0.421398\pi$
$68$	−0.849396			−0.103004
$69$	−12.4855	−	2.20153i	−1.50308	−	0.265033i
$70$	9.59158	+	0.434313i	1.14641	+	0.0519103i
$71$	12.1478	−	4.42144i	1.44168	−	0.524729i	0.501426	−	0.865201i	$-0.332809\pi$
$71$	12.1478	−	4.42144i	1.44168	−	0.524729i	0.940255	+	0.340472i	$0.110587\pi$
$72$	−6.32761	−	2.30306i	−0.745716	−	0.271419i
$73$			13.9817i			1.63644i	0.574906	+	0.818219i	$0.305039\pi$
$73$			13.9817i			1.63644i	−0.574906	+	0.818219i	$0.694961\pi$
$74$	−4.39189	−	4.20848i	−0.510547	−	0.489226i
$75$	−15.0548	−	4.08613i	−1.73838	−	0.471825i
$76$	1.67595	−	4.60463i	0.192244	−	0.528187i
$77$	−4.51101	−	12.3939i	−0.514077	−	1.41241i
$78$	−4.70993	+	5.61307i	−0.533294	+	0.635555i
$79$	−7.28405	−	1.28437i	−0.819520	−	0.144503i	−0.251857	−	0.967764i	$-0.581041\pi$
$79$	−7.28405	−	1.28437i	−0.819520	−	0.144503i	−0.567663	+	0.823261i	$0.692152\pi$
$80$	−1.35836	−	1.77619i	−0.151870	−	0.198584i
$81$	2.80297	−	15.8964i	0.311441	−	1.76627i
$82$	−6.22892	−	10.7888i	−0.687869	−	1.19142i
$83$	−6.19433	−	7.38212i	−0.679916	−	0.810293i	0.310181	−	0.950678i	$-0.399610\pi$
$83$	−6.19433	−	7.38212i	−0.679916	−	0.810293i	−0.990097	+	0.140385i	$0.955166\pi$
$84$	−6.69821	+	11.6016i	−0.730835	+	1.26584i
$85$	0.729669	−	1.75355i	0.0791437	−	0.190200i
$86$	−4.36935	−	1.59031i	−0.471159	−	0.171488i
$87$	16.0630	+	13.4784i	1.72213	+	1.44504i
$88$	−1.53583	+	2.66013i	−0.163720	+	0.283571i
$89$	11.8301	−	2.08597i	1.25399	−	0.221112i	0.493088	−	0.869979i	$-0.335868\pi$
$89$	11.8301	−	2.08597i	1.25399	−	0.221112i	0.760902	+	0.648867i	$0.224757\pi$
$90$	10.1903	−	11.0847i	1.07415	−	1.16843i
$91$	6.48224	+	7.72523i	0.679523	+	0.809824i
$92$	3.81857	−	1.38985i	0.398113	−	0.144901i
$93$	−3.17322	+	1.15496i	−0.329047	+	0.119763i
$94$	0.188681	+	0.224862i	0.0194610	+	0.0231927i
$95$	8.06641	+	7.41553i	0.827596	+	0.760817i
$96$	3.07249	−	0.541763i	0.313585	−	0.0552934i
$97$	−2.11350	+	3.66068i	−0.214593	+	0.371686i	−0.953147	−	0.302509i	$-0.902176\pi$
$97$	−2.11350	+	3.66068i	−0.214593	+	0.371686i	0.738554	+	0.674195i	$0.235509\pi$
$98$	8.76155	+	7.35181i	0.885050	+	0.742645i
$99$	−19.4362	−	7.07421i	−1.95341	−	0.710984i
$100$	4.83379	−	1.27847i	0.483379	−	0.127847i
$101$	3.67967	−	6.37337i	0.366141	−	0.634174i	−0.622818	−	0.782367i	$-0.714012\pi$
$101$	3.67967	−	6.37337i	0.366141	−	0.634174i	0.988958	+	0.148193i	$0.0473456\pi$
$102$	1.70340	+	2.03003i	0.168662	+	0.201003i
$103$	3.27891	+	5.67924i	0.323081	+	0.559592i	0.981122	−	0.193390i	$-0.0619482\pi$
$103$	3.27891	+	5.67924i	0.323081	+	0.559592i	−0.658041	+	0.752982i	$0.728615\pi$
$104$	0.407829	−	2.31291i	0.0399909	−	0.226800i
$105$	−18.1972	−	23.7946i	−1.77586	−	2.32211i
$106$	−3.92105	−	0.691388i	−0.380846	−	0.0671535i
$107$	−8.37130	+	9.97653i	−0.809284	+	0.964468i	−0.999852	−	0.0172065i	$-0.994523\pi$
$107$	−8.37130	+	9.97653i	−0.809284	+	0.964468i	0.190568	+	0.981674i	$0.438967\pi$
$108$	3.98410	+	10.9462i	0.383371	+	1.05330i
$109$	−3.72200	+	10.2261i	−0.356503	+	0.979483i	0.623731	+	0.781639i	$0.285616\pi$
$109$	−3.72200	+	10.2261i	−0.356503	+	0.979483i	−0.980234	+	0.197844i	$0.936606\pi$
$110$	−4.17242	−	5.45584i	−0.397824	−	0.520194i
$111$	−1.25055	+	18.9363i	−0.118697	+	1.79735i
$112$		−	4.29388i		−	0.405733i
$113$	13.0995	+	4.76783i	1.23230	+	0.448520i	0.874384	−	0.485235i	$-0.161266\pi$
$113$	13.0995	+	4.76783i	1.23230	+	0.448520i	0.357914	+	0.933754i	$0.383488\pi$
$114$	−14.3659	+	5.22877i	−1.34549	+	0.489719i
$115$	−0.411024	+	9.07727i	−0.0383282	+	0.846460i
$116$	−6.61888	−	1.16709i	−0.614547	−	0.108361i
$117$	15.8147			1.46207
$118$	11.5194	+	2.03118i	1.06045	+	0.186986i
$119$	3.15857	−	1.82360i	0.289546	−	0.167169i
$120$	−1.52095	+	6.80847i	−0.138843	+	0.621525i
$121$	0.782477	−	1.35529i	0.0711342	−	0.123208i
$122$	−1.11695	+	0.644870i	−0.101124	+	0.0583837i
$123$	−13.2933	+	36.5231i	−1.19862	+	3.29318i
$124$	0.695733	−	0.829142i	0.0624786	−	0.0744592i
$125$	−1.51306	+	11.0775i	−0.135333	+	0.990800i
$126$	28.4744	−	5.02081i	2.53670	−	0.447290i
$127$	−5.48175	+	0.966580i	−0.486426	+	0.0857701i	−0.411483	−	0.911418i	$-0.634989\pi$
$127$	−5.48175	+	0.966580i	−0.486426	+	0.0857701i	−0.0749439	+	0.997188i	$0.523878\pi$
$128$	−0.766044	+	0.642788i	−0.0677094	+	0.0568149i
$129$	4.96160	+	13.6319i	0.436845	+	1.20022i
$130$	4.42460	+	2.82885i	0.388063	+	0.248106i
$131$	−9.82167	−	11.7050i	−0.858123	−	1.02267i	−0.999465	−	0.0327106i	$-0.989586\pi$
$131$	−9.82167	−	11.7050i	−0.858123	−	1.02267i	0.141342	−	0.989961i	$-0.454858\pi$
$132$	9.43762	−	1.66411i	0.821440	−	0.144842i
$133$	3.65366	+	20.7210i	0.316813	+	1.79674i
$134$	5.80000	+	3.34863i	0.501043	+	0.289277i
$135$	−26.0207	−	1.17823i	−2.23951	−	0.101406i
$136$	−0.798171	−	0.290511i	−0.0684426	−	0.0249111i
$137$	5.08436	−	2.93546i	0.434386	−	0.250793i	−0.266827	−	0.963744i	$-0.585975\pi$
$137$	5.08436	−	2.93546i	0.434386	−	0.250793i	0.701213	+	0.712951i	$0.252642\pi$
$138$	−10.9796	−	6.33905i	−0.934642	−	0.539616i
$139$	−2.16050	+	1.81287i	−0.183251	+	0.153766i	−0.729799	−	0.683662i	$-0.760386\pi$
$139$	−2.16050	+	1.81287i	−0.183251	+	0.153766i	0.546548	+	0.837428i	$0.315942\pi$
$140$	8.86459	+	3.68863i	0.749195	+	0.311746i
$141$	0.159027	−	0.901886i	0.0133925	−	0.0759525i
$142$	12.9274			1.08485
$143$	1.25271	−	7.10446i	0.104757	−	0.594105i
$144$	−5.15832	−	4.32834i	−0.429860	−	0.360695i
$145$	8.09533	−	12.6619i	0.672280	−	1.05151i
$146$	−4.78204	+	13.1385i	−0.395764	+	1.08735i
$147$		−	35.6834i		−	2.94312i
$148$	−2.68764	−	5.45679i	−0.220923	−	0.448546i
$149$	−4.98214			−0.408153			−0.204077	−	0.978955i	$-0.565419\pi$
$149$	−4.98214			−0.408153			−0.204077	+	0.978955i	$0.565419\pi$
$150$	−12.7493	−	8.98874i	−1.04098	−	0.733927i
$151$	−7.33514	+	2.66977i	−0.596925	+	0.217263i	−0.622773	−	0.782403i	$-0.713994\pi$
$151$	−7.33514	+	2.66977i	−0.596925	+	0.217263i	0.0258474	+	0.999666i	$0.491772\pi$
$152$	3.14975	−	3.75373i	0.255479	−	0.304467i
$153$	0.993195	−	5.63269i	0.0802950	−	0.455376i
$154$		−	13.1893i		−	1.06282i
$155$	1.11407	+	2.14859i	0.0894846	+	0.172579i
$156$	−6.34567	+	3.66367i	−0.508060	+	0.293329i
$157$	−15.9623	−	19.0231i	−1.27393	−	1.51821i	−0.739846	−	0.672777i	$-0.765102\pi$
$157$	−15.9623	−	19.0231i	−1.27393	−	1.51821i	−0.534083	−	0.845432i	$-0.679343\pi$
$158$	−6.40549	−	3.69821i	−0.509593	−	0.294214i
$159$	6.21098	+	10.7577i	0.492563	+	0.853144i
$160$	−0.668950	−	2.13366i	−0.0528852	−	0.168681i
$161$	−11.2159	+	13.3665i	−0.883933	+	1.05343i
$162$	8.07083	−	13.9791i	0.634104	−	1.09830i
$163$	−2.82751	−	16.0356i	−0.221468	−	1.25601i	−0.869324	−	0.494243i	$-0.835445\pi$
$163$	−2.82751	−	16.0356i	−0.221468	−	1.25601i	0.647856	−	0.761763i	$-0.275666\pi$
$164$	−2.16328	−	12.2686i	−0.168924	−	0.958015i
$165$	−4.67183	+	20.9132i	−0.363702	+	1.62809i
$166$	−3.29594	−	9.05551i	−0.255814	−	0.702844i
$167$	−8.69328	+	3.16410i	−0.672707	+	0.244845i	−0.655713	−	0.755010i	$-0.727632\pi$
$167$	−8.69328	+	3.16410i	−0.672707	+	0.244845i	−0.0169938	+	0.999856i	$0.505410\pi$
$168$	−10.2623	+	8.61105i	−0.791750	+	0.664357i
$169$	−1.29960	−	7.37041i	−0.0999694	−	0.566955i
$170$	1.28542	−	1.39824i	0.0985869	−	0.107240i
$171$	28.5755	+	16.4981i	2.18522	+	1.26164i
$172$	−3.56193	−	2.98881i	−0.271594	−	0.227895i
$173$	2.14010	−	5.87989i	0.162709	−	0.447040i	−0.831367	−	0.555723i	$-0.812441\pi$
$173$	2.14010	−	5.87989i	0.162709	−	0.447040i	0.994076	+	0.108684i	$0.0346636\pi$
$174$	10.4844	+	18.1594i	0.794817	+	1.37666i
$175$	−15.2302	+	15.1320i	−1.15129	+	1.14387i
$176$	−2.35302	+	1.97442i	−0.177366	+	0.148827i
$177$	−18.2468	−	31.6045i	−1.37152	−	2.37554i
$178$	11.8301	+	2.08597i	0.886705	+	0.156350i
$179$			5.85747i			0.437808i	0.975746	+	0.218904i	$0.0702481\pi$
$179$			5.85747i			0.437808i	−0.975746	+	0.218904i	$0.929752\pi$
$180$	13.3670	−	6.93096i	0.996314	−	0.516603i
$181$	−8.11917	−	6.81280i	−0.603493	−	0.506391i	0.289073	−	0.957307i	$-0.406653\pi$
$181$	−8.11917	−	6.81280i	−0.603493	−	0.506391i	−0.892566	+	0.450916i	$0.851097\pi$
$182$	3.44913	+	9.47640i	0.255666	+	0.702437i
$183$	3.78117	+	1.37624i	0.279512	+	0.101734i
$184$	4.06364			0.299575
$185$	13.5742	−	0.860929i	0.997995	−	0.0632968i
$186$	−3.37687			−0.247604
$187$	−2.45170	−	0.892347i	−0.179286	−	0.0652549i
$188$	0.100395	+	0.275834i	0.00732207	+	0.0201172i
$189$	−38.3162	−	32.1511i	−2.78709	−	2.33865i
$190$	5.04369	+	9.72719i	0.365907	+	0.705685i
$191$		−	6.56607i		−	0.475105i	−0.971375	−	0.237552i	$-0.923655\pi$
$191$		−	6.56607i		−	0.475105i	0.971375	−	0.237552i	$-0.0763451\pi$
$192$	3.07249	+	0.541763i	0.221738	+	0.0390984i
$193$	9.02384	+	15.6297i	0.649550	+	1.12505i	0.983230	+	0.182368i	$0.0583761\pi$
$193$	9.02384	+	15.6297i	0.649550	+	1.12505i	−0.333680	+	0.942686i	$0.608291\pi$
$194$	−3.23806	+	2.71706i	−0.232479	+	0.195073i
$195$	−2.11234	−	16.2477i	−0.151268	−	1.16352i
$196$	5.71870	+	9.90507i	0.408478	+	0.707505i
$197$	−5.19898	+	14.2841i	−0.370412	+	1.01770i	0.604791	+	0.796384i	$0.293257\pi$
$197$	−5.19898	+	14.2841i	−0.370412	+	1.01770i	−0.975203	+	0.221314i	$0.928966\pi$
$198$	−15.8446	−	13.2952i	−1.12602	−	0.944846i
$199$	−3.75123	−	2.16577i	−0.265918	−	0.153528i	0.361113	−	0.932522i	$-0.382397\pi$
$199$	−3.75123	−	2.16577i	−0.265918	−	0.153528i	−0.627031	+	0.778994i	$0.715730\pi$
$200$	4.97954	+	0.451880i	0.352107	+	0.0319527i
$201$	−3.62833	−	20.5773i	−0.255922	−	1.45141i
$202$	5.63758	−	4.73049i	0.396659	−	0.332836i
$203$	27.1187	−	9.87039i	1.90336	−	0.692765i
$204$	0.906361	+	2.49021i	0.0634579	+	0.174349i
$205$	27.1865	+	6.07322i	1.89879	+	0.424172i
$206$	1.13875	+	6.45819i	0.0793407	+	0.449964i
$207$	4.75159	+	26.9476i	0.330259	+	1.87299i
$208$	1.17430	−	2.03394i	0.0814228	−	0.141028i
$209$	9.67494	−	11.5301i	0.669230	−	0.797557i
$210$	−8.96154	−	28.5834i	−0.618405	−	1.97244i
$211$	−12.3343	−	21.3636i	−0.849126	−	1.47073i	−0.881989	−	0.471270i	$-0.843796\pi$
$211$	−12.3343	−	21.3636i	−0.849126	−	1.47073i	0.0328629	−	0.999460i	$-0.489538\pi$
$212$	−3.44812	−	1.99077i	−0.236818	−	0.136727i
$213$	−25.9250	−	30.8962i	−1.77635	−	2.11697i
$214$	−11.2786	+	6.51172i	−0.770991	+	0.445132i
$215$	9.23017	−	4.78597i	0.629492	−	0.326401i
$216$			11.6487i			0.792596i
$217$	−0.807040	+	4.57695i	−0.0547854	+	0.310704i
$218$	−6.99506	+	8.33639i	−0.473766	+	0.564612i
$219$	40.9908	−	14.9194i	2.76990	−	1.00816i
$220$	−2.05478	−	6.55386i	−0.138533	−	0.441861i
$221$	1.99489			0.134191
$222$	−7.65173	+	17.3666i	−0.513550	+	1.16557i
$223$			8.02784i			0.537584i	0.963198	+	0.268792i	$0.0866244\pi$
$223$			8.02784i			0.537584i	−0.963198	+	0.268792i	$0.913376\pi$
$224$	1.46859	−	4.03493i	0.0981245	−	0.269595i
$225$	2.82595	+	33.5497i	0.188397	+	2.23665i
$226$	10.6788	+	8.96059i	0.710344	+	0.596050i
$227$	3.01681	−	17.1092i	0.200233	−	1.13558i	−0.704535	−	0.709670i	$-0.748844\pi$
$227$	3.01681	−	17.1092i	0.200233	−	1.13558i	0.904767	−	0.425906i	$-0.140045\pi$
$228$	−15.2879			−1.01247
$229$	−2.29183	+	12.9976i	−0.151448	+	0.858906i	0.810513	+	0.585720i	$0.199188\pi$
$229$	−2.29183	+	12.9976i	−0.151448	+	0.858906i	−0.961961	+	0.273185i	$0.911923\pi$
$230$	−3.49085	+	8.38926i	−0.230180	+	0.553172i
$231$	−31.5221	+	26.4502i	−2.07400	+	1.74029i
$232$	−5.82054	−	3.36049i	−0.382137	−	0.220627i
$233$	0.374584	−	0.216266i	0.0245398	−	0.0141681i	−0.487680	−	0.873023i	$-0.662157\pi$
$233$	0.374584	−	0.216266i	0.0245398	−	0.0141681i	0.512220	+	0.858854i	$0.328823\pi$
$234$	14.8610	+	5.40896i	0.971493	+	0.353594i
$235$	−0.655695	−	0.0296903i	−0.0427728	−	0.00193678i
$236$	10.1300	+	5.84856i	0.659407	+	0.380709i
$237$	4.00711	+	22.7254i	0.260290	+	1.47618i
$238$	3.59179	−	0.633330i	0.232821	−	0.0410527i
$239$	−1.89751	−	2.26136i	−0.122740	−	0.146276i	0.701175	−	0.712989i	$-0.252659\pi$
$239$	−1.89751	−	2.26136i	−0.122740	−	0.146276i	−0.823915	+	0.566714i	$0.808215\pi$
$240$	−3.75786	+	5.87767i	−0.242569	+	0.379402i
$241$	−1.39831	−	3.84182i	−0.0900730	−	0.247474i	0.886474	−	0.462779i	$-0.153148\pi$
$241$	−1.39831	−	3.84182i	−0.0900730	−	0.247474i	−0.976547	+	0.215305i	$0.930925\pi$
$242$	1.19882	−	1.00593i	0.0770633	−	0.0646638i
$243$	−15.1798	+	2.67660i	−0.973783	+	0.171704i
$244$	−1.27015	+	0.223961i	−0.0813127	+	0.0143376i
$245$	−25.3614	+	3.29719i	−1.62028	+	0.210650i
$246$	−24.9833	+	29.7739i	−1.59288	+	1.89832i
$247$	−3.93612	+	10.8144i	−0.250449	+	0.688104i
$248$	0.937358	−	0.541184i	0.0595223	−	0.0343652i
$249$	−15.0327	+	26.0373i	−0.952657	+	1.65005i
$250$	−5.21054	+	9.89193i	−0.329543	+	0.625621i
$251$	−8.35634	+	4.82454i	−0.527447	+	0.304522i	−0.739976	−	0.672633i	$-0.765163\pi$
$251$	−8.35634	+	4.82454i	−0.527447	+	0.304522i	0.212529	+	0.977155i	$0.431830\pi$
$252$	28.4744	+	5.02081i	1.79372	+	0.316281i
$253$	12.4821			0.784742
$254$	−5.48175	−	0.966580i	−0.343955	−	0.0606486i
$255$	−5.91956	−	0.268041i	−0.370697	−	0.0167854i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	−14.1894	−	5.16450i	−0.885108	−	0.322153i	−0.140839	−	0.990033i	$-0.544980\pi$
$257$	−14.1894	−	5.16450i	−0.885108	−	0.322153i	−0.744269	+	0.667880i	$0.767202\pi$
$258$			14.5067i			0.903151i
$259$	21.7097	+	14.5215i	1.34897	+	0.902320i
$260$	3.19024	+	4.17155i	0.197850	+	0.258708i
$261$	15.4788	−	42.5278i	0.958116	−	2.63240i
$262$	−5.22600	−	14.3583i	−0.322863	−	0.887060i
$263$	−0.648578	+	0.772946i	−0.0399931	+	0.0476619i	−0.785670	−	0.618646i	$-0.787682\pi$
$263$	−0.648578	+	0.772946i	−0.0399931	+	0.0476619i	0.745677	+	0.666307i	$0.232126\pi$
$264$	9.43762	+	1.66411i	0.580845	+	0.102419i
$265$	7.07198	−	5.40838i	0.434428	−	0.332234i
$266$	−3.65366	+	20.7210i	−0.224021	+	1.27048i
$267$	−18.7390	−	32.4569i	−1.14681	−	1.98633i
$268$	4.30491	+	5.13040i	0.262964	+	0.313389i
$269$	−12.0801	+	20.9234i	−0.736539	+	1.27572i	0.217505	+	0.976059i	$0.430208\pi$
$269$	−12.0801	+	20.9234i	−0.736539	+	1.27572i	−0.954045	+	0.299665i	$0.903125\pi$
$270$	−24.0485	−	10.0068i	−1.46354	−	0.608994i
$271$	−16.1851	−	5.89088i	−0.983173	−	0.357846i	−0.200100	−	0.979775i	$-0.564127\pi$
$271$	−16.1851	−	5.89088i	−0.983173	−	0.357846i	−0.783073	+	0.621930i	$0.786349\pi$
$272$	−0.650675	−	0.545981i	−0.0394530	−	0.0331050i
$273$	15.7314	−	27.2475i	0.952106	−	1.64910i
$274$	5.78172	−	1.01947i	0.349287	−	0.0615886i
$275$	15.2954	+	1.38802i	0.922348	+	0.0837006i
$276$	−8.14932	−	9.71198i	−0.490532	−	0.584593i
$277$	4.00408	−	1.45736i	0.240582	−	0.0875646i	−0.218915	−	0.975744i	$-0.570252\pi$
$277$	4.00408	−	1.45736i	0.240582	−	0.0875646i	0.459497	+	0.888179i	$0.348030\pi$
$278$	−2.65024	+	0.964609i	−0.158951	+	0.0578534i
$279$	4.68486	+	5.58320i	0.280475	+	0.334257i
$280$	7.06840	+	6.49805i	0.422418	+	0.388333i
$281$	12.3341	−	2.17483i	0.735789	−	0.129739i	0.206818	−	0.978379i	$-0.433689\pi$
$281$	12.3341	−	2.17483i	0.735789	−	0.129739i	0.528971	+	0.848640i	$0.322578\pi$
$282$	0.457900	−	0.793106i	0.0272675	−	0.0472288i
$283$	5.98578	+	5.02267i	0.355818	+	0.298567i	0.803121	−	0.595816i	$-0.203171\pi$
$283$	5.98578	+	5.02267i	0.355818	+	0.298567i	−0.447303	+	0.894382i	$0.647616\pi$
$284$	12.1478	+	4.42144i	0.720840	+	0.262364i
$285$	13.1330	−	31.5614i	0.777931	−	1.86954i
$286$	3.60703	−	6.24756i	0.213288	−	0.369426i
$287$	34.3843	+	40.9776i	2.02964	+	2.41883i
$288$	−3.36685	−	5.83156i	−0.198394	−	0.343628i
$289$	−2.82674	+	16.0312i	−0.166279	+	0.943013i
$290$	11.9377	−	9.12953i	0.701008	−	0.536104i
$291$	12.9874	+	2.29003i	0.761335	+	0.134244i
$292$	−8.98729	+	10.7106i	−0.525941	+	0.626792i
$293$	−3.39709	−	9.33342i	−0.198460	−	0.545264i	0.800044	−	0.599941i	$-0.204809\pi$
$293$	−3.39709	−	9.33342i	−0.198460	−	0.545264i	−0.998504	+	0.0546769i	$0.982587\pi$
$294$	12.2044	−	33.5314i	0.711777	−	1.95559i
$295$	−20.7763	+	15.8889i	−1.20964	+	0.925089i
$296$	−0.659223	−	6.04694i	−0.0383165	−	0.351471i
$297$			35.7809i			2.07622i
$298$	−4.68168	−	1.70399i	−0.271203	−	0.0987097i
$299$	−8.96827	+	3.26418i	−0.518648	+	0.188773i
$300$	−8.90611	−	12.8072i	−0.514195	−	0.739423i
$301$	19.6622	+	3.46698i	1.13331	+	0.199833i
$302$	−7.80589			−0.449179
$303$	−22.6115	−	3.98701i	−1.29900	−	0.229048i
$304$	4.24365	−	2.45007i	0.243390	−	0.140521i
$305$	0.628750	−	2.81457i	0.0360021	−	0.161162i
$306$	2.85979	−	4.95330i	0.163483	−	0.283161i
$307$	6.74516	−	3.89432i	0.384966	−	0.222260i	−0.295011	−	0.955494i	$-0.595323\pi$
$307$	6.74516	−	3.89432i	0.384966	−	0.222260i	0.679977	+	0.733234i	$0.261990\pi$
$308$	4.51101	−	12.3939i	0.257038	−	0.706207i
$309$	13.1512	−	15.6730i	0.748147	−	0.891607i
$310$	0.312027	+	2.40005i	0.0177219	+	0.136314i
$311$	−5.30935	+	0.936181i	−0.301065	+	0.0530860i	−0.322140	−	0.946692i	$-0.604402\pi$
$311$	−5.30935	+	0.936181i	−0.301065	+	0.0530860i	0.0210749	+	0.999778i	$0.493291\pi$
$312$	−7.21603	+	1.27238i	−0.408527	+	0.0720344i
$313$	−15.4492	+	12.9634i	−0.873243	+	0.732737i	−0.964778	−	0.263064i	$-0.915267\pi$
$313$	−15.4492	+	12.9634i	−0.873243	+	0.732737i	0.0915358	+	0.995802i	$0.470822\pi$
$314$	−8.49335	−	23.3353i	−0.479307	−	1.31689i
$315$	−34.8261	+	54.4716i	−1.96223	+	3.06913i
$316$	−4.75433	−	5.66599i	−0.267452	−	0.318737i
$317$	−8.18716	+	1.44362i	−0.459836	+	0.0810816i	−0.398768	−	0.917052i	$-0.630562\pi$
$317$	−8.18716	+	1.44362i	−0.459836	+	0.0810816i	−0.0610688	+	0.998134i	$0.519451\pi$
$318$	2.15705	+	12.2333i	0.120961	+	0.686007i
$319$	−17.8787	−	10.3223i	−1.00101	−	0.577936i
$320$	0.101147	−	2.23378i	0.00565429	−	0.124872i
$321$	38.1813	+	13.8968i	2.13107	+	0.775646i
$322$	−15.1111	+	8.72438i	−0.842107	+	0.486191i
$323$	3.60454	+	2.08108i	0.200562	+	0.115794i
$324$	12.3652	−	10.3757i	0.686957	−	0.576425i
$325$	−11.3526	+	3.00262i	−0.629729	+	0.166555i
$326$	2.82751	−	16.0356i	0.156601	−	0.888130i
$327$	33.9518			1.87754
$328$	2.16328	−	12.2686i	0.119447	−	0.677419i
$329$	−0.965528	−	0.810175i	−0.0532313	−	0.0446664i
$330$	−11.5428	+	18.0542i	−0.635412	+	0.993849i
$331$	−4.14055	+	11.3761i	−0.227585	+	0.625285i	−0.999951	−	0.00989263i	$-0.996851\pi$
$331$	−4.14055	+	11.3761i	−0.227585	+	0.625285i	0.772366	+	0.635178i	$0.219073\pi$
$332$		−	9.63667i		−	0.528881i
$333$	39.3288	−	11.4422i	2.15521	−	0.627030i
$334$	−9.25120			−0.506203
$335$	−14.2897	+	4.48013i	−0.780728	+	0.244776i
$336$	−12.5885	+	4.58185i	−0.686760	+	0.249960i
$337$	−6.92421	+	8.25195i	−0.377186	+	0.449512i	−0.920924	−	0.389743i	$-0.872564\pi$
$337$	−6.92421	+	8.25195i	−0.377186	+	0.449512i	0.543738	+	0.839255i	$0.317008\pi$
$338$	1.29960	−	7.37041i	0.0706891	−	0.400898i
$339$		−	43.4919i		−	2.36216i
$340$	1.68612	−	0.874278i	0.0914428	−	0.0474144i
$341$	2.87924	−	1.66233i	0.155920	−	0.0900202i
$342$	21.2095	+	25.2765i	1.14688	+	1.36680i
$343$	−16.5009	−	9.52681i	−0.890966	−	0.514399i
$344$	−2.32488	−	4.02681i	−0.125349	−	0.217111i
$345$	27.0507	−	8.48102i	1.45636	−	0.456603i
$346$	4.02208	−	4.79333i	0.216228	−	0.257691i
$347$	16.5449	−	28.6566i	0.888175	−	1.53836i	0.0461450	−	0.998935i	$-0.485306\pi$
$347$	16.5449	−	28.6566i	0.888175	−	1.53836i	0.842030	−	0.539430i	$-0.181360\pi$
$348$	3.64118	+	20.6502i	0.195188	+	1.10696i
$349$	2.84710	+	16.1467i	0.152402	+	0.864315i	0.961123	+	0.276122i	$0.0890493\pi$
$349$	2.84710	+	16.1467i	0.152402	+	0.864315i	−0.808721	+	0.588193i	$0.799840\pi$
$350$	−19.4871	+	9.01040i	−1.04163	+	0.481626i
$351$	−9.35704	−	25.7082i	−0.499442	−	1.37220i
$352$	−2.88641	+	1.05057i	−0.153846	+	0.0559954i
$353$	25.2032	−	21.1480i	1.34143	−	1.12559i	0.360174	−	0.932885i	$-0.382717\pi$
$353$	25.2032	−	21.1480i	1.34143	−	1.12559i	0.981256	−	0.192709i	$-0.0617272\pi$
$354$	−6.33706	−	35.9393i	−0.336811	−	1.91015i
$355$	−19.5635	+	21.2806i	−1.03832	+	1.12946i
$356$	10.4032	+	6.00631i	0.551370	+	0.318334i
$357$	−8.71672	−	7.31420i	−0.461338	−	0.387108i
$358$	−2.00337	+	5.50422i	−0.105882	+	0.290907i
$359$	−8.43435	−	14.6087i	−0.445148	−	0.771018i	0.552915	−	0.833238i	$-0.313516\pi$
$359$	−8.43435	−	14.6087i	−0.445148	−	0.771018i	−0.998063	+	0.0622193i	$0.980182\pi$
$360$	14.9314	−	1.94120i	0.786952	−	0.102310i
$361$	−3.83895	+	3.22127i	−0.202050	+	0.169540i
$362$	−5.29941	−	9.17885i	−0.278531	−	0.482430i
$363$	−4.80830	−	0.847834i	−0.252371	−	0.0444997i
$364$			10.0846i			0.528575i
$365$	−14.3913	−	27.7549i	−0.753276	−	1.45276i
$366$	3.08244	+	2.58648i	0.161122	+	0.135197i
$367$	1.95889	+	5.38201i	0.102253	+	0.280939i	0.980261	−	0.197708i	$-0.0633497\pi$
$367$	1.95889	+	5.38201i	0.102253	+	0.280939i	−0.878008	+	0.478647i	$0.841128\pi$
$368$	3.81857	+	1.38985i	0.199057	+	0.0724507i
$369$	83.8874			4.36700
$370$	13.0500	+	3.83364i	0.678439	+	0.199301i
$371$	17.0963			0.887594
$372$	−3.17322	−	1.15496i	−0.164524	−	0.0598817i
$373$	−10.0502	−	27.6126i	−0.520378	−	1.42973i	−0.870101	−	0.492874i	$-0.835946\pi$
$373$	−10.0502	−	27.6126i	−0.520378	−	1.42973i	0.349723	−	0.936853i	$-0.386276\pi$
$374$	−1.99865	−	1.67706i	−0.103348	−	0.0867189i
$375$	34.0908	−	7.38448i	1.76044	−	0.381333i
$376$			0.293536i			0.0151380i
$377$	15.5450	+	2.74101i	0.800610	+	0.141169i
$378$	−25.0091	−	43.3171i	−1.28633	−	2.22799i
$379$	−1.15120	+	0.965971i	−0.0591332	+	0.0496186i	−0.671875	−	0.740664i	$-0.734511\pi$
$379$	−1.15120	+	0.965971i	−0.0591332	+	0.0496186i	0.612742	+	0.790283i	$0.290066\pi$
$380$	1.41262	+	10.8656i	0.0724659	+	0.557394i
$381$	8.68314	+	15.0396i	0.444851	+	0.770504i
$382$	2.24573	−	6.17009i	0.114902	−	0.315689i
$383$	11.1656	+	9.36905i	0.570535	+	0.478736i	0.881823	−	0.471580i	$-0.156316\pi$
$383$	11.1656	+	9.36905i	0.570535	+	0.478736i	−0.311288	+	0.950316i	$0.600760\pi$
$384$	2.70190	+	1.55994i	0.137881	+	0.0796056i
$385$	21.7117	+	19.9597i	1.10653	+	1.01724i
$386$	3.13395	+	17.7735i	0.159514	+	0.904647i
$387$	23.9850	−	20.1258i	1.21922	−	1.02305i
$388$	−3.97207	+	1.44572i	−0.201652	+	0.0733951i
$389$	−1.23410	−	3.39067i	−0.0625715	−	0.171914i	0.904467	−	0.426543i	$-0.140269\pi$
$389$	−1.23410	−	3.39067i	−0.0625715	−	0.171914i	−0.967039	+	0.254629i	$0.918047\pi$
$390$	3.57210	−	15.9903i	0.180880	−	0.809701i
$391$	0.599371	+	3.39920i	0.0303115	+	0.171905i
$392$	1.98608	+	11.2636i	0.100312	+	0.568899i
$393$	−23.8356	+	41.2845i	−1.20235	+	2.08253i
$394$	−9.77088	+	11.6445i	−0.492250	+	0.586640i
$395$	15.7814	−	4.94784i	0.794051	−	0.248953i
$396$	−10.3418	−	17.9125i	−0.519695	−	0.900138i
$397$	−13.0598	−	7.54005i	−0.655450	−	0.378424i	0.135091	−	0.990833i	$-0.456867\pi$
$397$	−13.0598	−	7.54005i	−0.655450	−	0.378424i	−0.790541	+	0.612409i	$0.790201\pi$
$398$	−2.78427	−	3.31816i	−0.139563	−	0.166324i
$399$	56.8497	−	32.8222i	2.84604	−	1.64316i
$400$	4.52468	+	2.12773i	0.226234	+	0.106387i
$401$		−	2.50997i		−	0.125342i	−0.998034	−	0.0626711i	$-0.980038\pi$
$401$		−	2.50997i		−	0.125342i	0.998034	−	0.0626711i	$-0.0199619\pi$
$402$	3.62833	−	20.5773i	0.180964	−	1.02630i
$403$	−1.63399	+	1.94732i	−0.0813950	+	0.0970028i
$404$	6.91551	−	2.51704i	0.344060	−	0.125227i
$405$	10.7980	+	34.4408i	0.536555	+	1.71138i
$406$	28.8591			1.43225
$407$	−2.02490	−	18.5741i	−0.100371	−	0.920683i
$408$			2.65002i			0.131196i
$409$	2.78778	−	7.65935i	0.137847	−	0.378730i	−0.851491	−	0.524369i	$-0.824301\pi$
$409$	2.78778	−	7.65935i	0.137847	−	0.378730i	0.989338	+	0.145638i	$0.0465236\pi$
$410$	23.4698	+	15.0053i	1.15909	+	0.741058i
$411$	−14.0313	−	11.7737i	−0.692114	−	0.580753i
$412$	−1.13875	+	6.45819i	−0.0561024	+	0.318172i
$413$	−50.2260			−2.47146
$414$	−4.75159	+	26.9476i	−0.233528	+	1.32440i
$415$	19.8946	+	8.27833i	0.976589	+	0.406367i
$416$	1.79913	−	1.50965i	0.0882094	−	0.0740165i
$417$	7.62025	+	4.39956i	0.373165	+	0.215447i
$418$	13.0350	−	7.52577i	0.637563	−	0.368097i
$419$	3.97119	+	1.44540i	0.194005	+	0.0706122i	0.437196	−	0.899366i	$-0.355972\pi$
$419$	3.97119	+	1.44540i	0.194005	+	0.0706122i	−0.243190	+	0.969979i	$0.578194\pi$
$420$	1.35501	−	29.9246i	0.0661176	−	1.46017i
$421$	−15.8189	−	9.13306i	−0.770967	−	0.445118i	0.0622524	−	0.998060i	$-0.480172\pi$
$421$	−15.8189	−	9.13306i	−0.770967	−	0.445118i	−0.833219	+	0.552942i	$0.813505\pi$
$422$	−4.28365	−	24.2938i	−0.208525	−	1.18260i
$423$	−1.94656	+	0.343230i	−0.0946448	+	0.0166884i
$424$	−2.55929	−	3.05004i	−0.124290	−	0.148123i
$425$	0.356469	+	4.23199i	0.0172913	+	0.205282i
$426$	−13.7944	−	37.8998i	−0.668341	−	1.83625i
$427$	4.24234	−	3.55975i	0.205301	−	0.172268i
$428$	−12.8256	+	2.26150i	−0.619948	+	0.109314i
$429$	−22.1651	+	3.90831i	−1.07014	+	0.188695i
$430$	10.3104	−	1.34044i	0.497213	−	0.0646418i
$431$	1.49565	−	1.78244i	0.0720427	−	0.0858572i	−0.728819	−	0.684706i	$-0.759931\pi$
$431$	1.49565	−	1.78244i	0.0720427	−	0.0858572i	0.800862	+	0.598849i	$0.204375\pi$
$432$	−3.98410	+	10.9462i	−0.191685	+	0.526651i
$433$	−7.13671	+	4.12038i	−0.342969	+	0.198013i	−0.661584	−	0.749871i	$-0.730116\pi$
$433$	−7.13671	+	4.12038i	−0.342969	+	0.198013i	0.318615	+	0.947884i	$0.396782\pi$
$434$	−2.32378	+	4.02490i	−0.111545	+	0.193201i
$435$	−45.7596	−	10.2223i	−2.19400	−	0.490121i
$436$	−9.42442	+	5.44119i	−0.451348	+	0.260586i
$437$	−19.6099	−	3.45775i	−0.938068	−	0.165407i
$438$	43.6215			2.08431
$439$	27.0030	+	4.76136i	1.28878	+	0.227247i	0.775706	−	0.631095i	$-0.217394\pi$
$439$	27.0030	+	4.76136i	1.28878	+	0.227247i	0.513078	+	0.858342i	$0.328505\pi$
$440$	0.310688	−	6.86139i	0.0148115	−	0.327104i
$441$	−72.3714	+	26.3410i	−3.44626	+	1.25433i
$442$	1.87458	+	0.682291i	0.0891646	+	0.0324533i
$443$		−	6.47116i		−	0.307454i	−0.988113	−	0.153727i	$-0.950872\pi$
$443$		−	6.47116i		−	0.307454i	0.988113	−	0.153727i	$-0.0491276\pi$
$444$	−13.1300	+	13.7022i	−0.623122	+	0.650278i
$445$	−21.3367	+	16.3175i	−1.01146	+	0.773523i
$446$	−2.74568	+	7.54370i	−0.130012	+	0.357204i
$447$	5.31627	+	14.6063i	0.251451	+	0.690856i
$448$	2.76005	−	3.28930i	0.130400	−	0.155405i
$449$	5.60004	+	0.987437i	0.264282	+	0.0466000i	0.304219	−	0.952602i	$-0.401605\pi$
$449$	5.60004	+	0.987437i	0.264282	+	0.0466000i	−0.0399369	+	0.999202i	$0.512716\pi$
$450$	−8.81915	+	32.4930i	−0.415739	+	1.53173i
$451$	6.64485	−	37.6848i	0.312894	−	1.77451i
$452$	6.97010	+	12.0726i	0.327846	+	0.567846i
$453$	15.6541	+	18.6559i	0.735496	+	0.876530i
$454$	8.68656	−	15.0456i	0.407680	−	0.706123i
$455$	−20.8193	−	8.66310i	−0.976024	−	0.406132i
$456$	−14.3659	−	5.22877i	−0.672746	−	0.244860i
$457$	31.6523	+	26.5595i	1.48063	+	1.24240i	0.905505	+	0.424336i	$0.139492\pi$
$457$	31.6523	+	26.5595i	1.48063	+	1.24240i	0.575128	+	0.818063i	$0.304952\pi$
$458$	−6.59906	+	11.4299i	−0.308354	+	0.534084i
$459$	−9.74408	+	1.71814i	−0.454814	+	0.0801961i
$460$	−6.14962	+	6.68939i	−0.286727	+	0.311894i
$461$	20.7945	+	24.7819i	0.968495	+	1.15421i	0.988009	+	0.154398i	$0.0493437\pi$
$461$	20.7945	+	24.7819i	0.968495	+	1.15421i	−0.0195139	+	0.999810i	$0.506212\pi$
$462$	−38.6675	+	14.0738i	−1.79898	+	0.654774i
$463$	25.6198	−	9.32486i	1.19066	−	0.433363i	0.330702	−	0.943735i	$-0.392715\pi$
$463$	25.6198	−	9.32486i	1.19066	−	0.433363i	0.859954	+	0.510372i	$0.170492\pi$
$464$	−4.32016	−	5.14857i	−0.200559	−	0.239016i
$465$	5.11031	−	5.55886i	0.236985	−	0.257786i
$466$	0.425962	−	0.0751085i	0.0197323	−	0.00347934i
$467$	−11.2813	+	19.5398i	−0.522036	+	0.904194i	0.477635	+	0.878558i	$0.341494\pi$
$467$	−11.2813	+	19.5398i	−0.522036	+	0.904194i	−0.999671	+	0.0256351i	$0.991839\pi$
$468$	12.1148	+	10.1655i	0.560006	+	0.469901i
$469$	−27.0229	−	9.83555i	−1.24780	−	0.454163i
$470$	−0.605997	−	0.252160i	−0.0279525	−	0.0116313i
$471$	−38.7379	+	67.0961i	−1.78495	+	3.09162i
$472$	7.51876	+	8.96051i	0.346079	+	0.412441i
$473$	−7.14123	−	12.3690i	−0.328354	−	0.568726i
$474$	−4.00711	+	22.7254i	−0.184052	+	1.04381i
$475$	−23.6452	−	6.41773i	−1.08492	−	0.294466i
$476$	3.59179	+	0.633330i	0.164630	+	0.0290286i
$477$	17.2335	−	20.5381i	0.789067	−	0.940373i
$478$	−1.00964	−	2.77397i	−0.0461801	−	0.126879i
$479$	3.00815	−	8.26482i	0.137446	−	0.377629i	−0.851805	−	0.523859i	$-0.824492\pi$
$479$	3.00815	−	8.26482i	0.137446	−	0.377629i	0.989251	+	0.146230i	$0.0467140\pi$
$480$	−5.54151	+	4.23794i	−0.252934	+	0.193435i
$481$	6.31217	+	12.8158i	0.287810	+	0.584349i
$482$		−	4.08838i		−	0.186221i
$483$	51.1552	+	18.6190i	2.32764	+	0.847192i
$484$	1.47058	−	0.535246i	0.0668443	−	0.0243293i
$485$	0.427547	−	9.44217i	0.0194139	−	0.428747i
$486$	−15.1798	−	2.67660i	−0.688569	−	0.121413i
$487$	−9.87486			−0.447473			−0.223736	−	0.974650i	$-0.571825\pi$
$487$	−9.87486			−0.447473			−0.223736	+	0.974650i	$0.571825\pi$
$488$	−1.27015	−	0.223961i	−0.0574968	−	0.0101382i
$489$	−43.9950	+	25.4005i	−1.98952	+	1.14865i
$490$	−24.9596	−	5.57575i	−1.12756	−	0.251887i
$491$	17.2328	−	29.8482i	0.777707	−	1.34703i	−0.155553	−	0.987828i	$-0.549716\pi$
$491$	17.2328	−	29.8482i	0.777707	−	1.34703i	0.933260	−	0.359201i	$-0.116951\pi$
$492$	−33.6599	+	19.4335i	−1.51750	+	0.876132i
$493$	1.95252	−	5.36449i	0.0879369	−	0.241605i
$494$	−7.39748	+	8.81598i	−0.332828	+	0.396650i
$495$	45.8640	−	5.96270i	2.06143	−	0.268003i
$496$	1.06592	−	0.187951i	0.0478614	−	0.00843926i
$497$	−54.6655	+	9.63901i	−2.45208	+	0.432369i
$498$	−23.0314	+	19.3256i	−1.03206	+	0.866002i
$499$	−11.8595	−	32.5837i	−0.530904	−	1.45865i	−0.857997	−	0.513654i	$-0.828292\pi$
$499$	−11.8595	−	32.5837i	−0.530904	−	1.45865i	0.327094	−	0.944992i	$-0.393931\pi$
$500$	−8.27954	+	7.51327i	−0.370272	+	0.336003i
$501$	18.5526	+	22.1101i	0.828869	+	0.987807i
$502$	−9.50248	+	1.67554i	−0.424116	+	0.0747832i
$503$	−2.67834	−	15.1896i	−0.119421	−	0.677273i	−0.984466	−	0.175577i	$-0.943821\pi$
$503$	−2.67834	−	15.1896i	−0.119421	−	0.677273i	0.865044	−	0.501696i	$-0.167290\pi$
$504$	25.0400	+	14.4569i	1.11537	+	0.643959i
$505$	−0.744374	+	16.4391i	−0.0331242	+	0.731532i
$506$	11.7293	+	4.26912i	0.521432	+	0.189786i
$507$	−20.2213	+	11.6748i	−0.898061	+	0.518496i
$508$	−4.82057	−	2.78316i	−0.213878	−	0.123483i
$509$	23.8454	−	20.0087i	1.05693	−	0.886869i	0.0631242	−	0.998006i	$-0.479894\pi$
$509$	23.8454	−	20.0087i	1.05693	−	0.886869i	0.993805	+	0.111137i	$0.0354491\pi$
$510$	−5.47089	−	2.27649i	−0.242255	−	0.100804i
$511$	10.4251	−	59.1238i	0.461180	−	2.61548i
$512$	−1.00000			−0.0441942
$513$	9.91192	−	56.2133i	0.437622	−	2.48188i
$514$	−11.5673	−	9.70609i	−0.510210	−	0.428117i
$515$	−12.3545	−	7.89880i	−0.544405	−	0.348063i
$516$	−4.96160	+	13.6319i	−0.218422	+	0.600110i
$517$			0.901640i			0.0396541i
$518$	15.4338	+	21.0709i	0.678122	+	0.925801i
$519$	−19.5219			−0.856917
$520$	1.57109	+	5.01110i	0.0688969	+	0.219751i
$521$	−38.5662	+	14.0369i	−1.68962	+	0.614970i	−0.994577	−	0.104003i	$-0.966835\pi$
$521$	−38.5662	+	14.0369i	−1.68962	+	0.614970i	−0.695038	+	0.718973i	$0.744613\pi$
$522$	29.0907	−	34.6690i	1.27327	−	1.51742i
$523$	−2.06523	+	11.7125i	−0.0903063	+	0.512152i	0.905779	+	0.423751i	$0.139287\pi$
$523$	−2.06523	+	11.7125i	−0.0903063	+	0.512152i	−0.996085	+	0.0884013i	$0.971824\pi$
$524$		−	15.2798i		−	0.667501i
$525$	60.6146	+	28.5040i	2.64544	+	1.24402i
$526$	−0.873827	+	0.504504i	−0.0381007	+	0.0219974i
$527$	0.590953	+	0.704270i	0.0257423	+	0.0306785i
$528$	8.29930	+	4.79161i	0.361181	+	0.208528i
$529$	3.24342	+	5.61778i	0.141018	+	0.244251i
$530$	8.49526	−	2.66345i	0.369010	−	0.115693i
$531$	−50.6291	+	60.3374i	−2.19712	+	2.61842i
$532$	−10.5203	+	18.2217i	−0.456113	+	0.790011i
$533$	5.08067	+	28.8139i	0.220068	+	1.24807i
$534$	−6.50799	−	36.9087i	−0.281628	−	1.59719i
$535$	6.34895	−	28.4208i	0.274489	−	1.22874i
$536$	2.29060	+	6.29336i	0.0989387	+	0.271832i
$537$	17.1726	−	6.25030i	0.741051	−	0.269720i
$538$	−18.5079	+	15.5299i	−0.797930	+	0.669543i
$539$	6.10055	+	34.5980i	0.262769	+	1.49024i
$540$	−19.1757	−	17.6284i	−0.825189	−	0.758604i
$541$	−7.85642	−	4.53591i	−0.337774	−	0.195014i	0.321513	−	0.946905i	$-0.395809\pi$
$541$	−7.85642	−	4.53591i	−0.337774	−	0.195014i	−0.659287	+	0.751891i	$0.729142\pi$
$542$	−13.1942	−	11.0712i	−0.566739	−	0.475550i
$543$	−11.3096	+	31.0730i	−0.485343	+	1.33347i
$544$	−0.424698	−	0.735599i	−0.0182088	−	0.0315385i
$545$	−3.13719	−	24.1307i	−0.134382	−	1.03364i
$546$	24.1019	−	20.2239i	1.03146	−	0.865501i
$547$	−7.32539	−	12.6880i	−0.313211	−	0.542498i	0.665844	−	0.746091i	$-0.268071\pi$
$547$	−7.32539	−	12.6880i	−0.313211	−	0.542498i	−0.979056	+	0.203593i	$0.934738\pi$
$548$	5.78172	+	1.01947i	0.246983	+	0.0435497i
$549$		−	8.68472i		−	0.370655i
$550$	13.8983	+	6.53565i	0.592624	+	0.278681i
$551$	25.2287	+	21.1694i	1.07478	+	0.901848i
$552$	−4.33616	−	11.9135i	−0.184559	−	0.507073i
$553$	29.8440	+	10.8623i	1.26910	+	0.461913i
$554$	4.26105			0.181035
$555$	−17.0086	−	38.8773i	−0.721973	−	1.65025i
$556$	−2.82033			−0.119609
$557$	4.57236	+	1.66420i	0.193737	+	0.0705145i	0.437067	−	0.899429i	$-0.356017\pi$
$557$	4.57236	+	1.66420i	0.193737	+	0.0705145i	−0.243330	+	0.969944i	$0.578240\pi$
$558$	2.49276	+	6.84881i	0.105527	+	0.289933i
$559$	8.36551	+	7.01950i	0.353824	+	0.296893i
$560$	4.41966	+	8.52370i	0.186765	+	0.360192i
$561$			8.13994i			0.343669i
$562$	12.3341	+	2.17483i	0.520281	+	0.0917396i
$563$	−5.41494	−	9.37895i	−0.228213	−	0.395276i	0.729066	−	0.684444i	$-0.239955\pi$
$563$	−5.41494	−	9.37895i	−0.228213	−	0.395276i	−0.957278	+	0.289168i	$0.906621\pi$
$564$	0.701543	−	0.588665i	0.0295403	−	0.0247873i
$565$	−30.9111	+	4.01870i	−1.30044	+	0.169068i
$566$	3.90694	+	6.76702i	0.164221	+	0.284439i
$567$	−23.7055	+	65.1304i	−0.995538	+	2.73522i
$568$	9.90299	+	8.30960i	0.415520	+	0.348663i
$569$	11.3252	+	6.53861i	0.474778	+	0.274113i	0.718238	−	0.695798i	$-0.244949\pi$
$569$	11.3252	+	6.53861i	0.474778	+	0.274113i	−0.243460	+	0.969911i	$0.578282\pi$
$570$	23.1356	−	25.1663i	0.969044	−	1.05410i
$571$	−3.45342	−	19.5853i	−0.144521	−	0.819620i	−0.967750	−	0.251911i	$-0.918941\pi$
$571$	−3.45342	−	19.5853i	−0.144521	−	0.819620i	0.823229	−	0.567709i	$-0.192170\pi$
$572$	5.52629	−	4.63711i	0.231066	−	0.193887i
$573$	−19.2500	+	7.00643i	−0.804180	+	0.292698i
$574$	18.2955	+	50.2665i	0.763639	+	2.09808i
$575$	−8.52726	−	18.4422i	−0.355611	−	0.769093i
$576$	−1.16930	−	6.63140i	−0.0487206	−	0.276308i
$577$	−4.48070	−	25.4113i	−0.186534	−	1.05789i	−0.923969	−	0.382468i	$-0.875074\pi$
$577$	−4.48070	−	25.4113i	−0.186534	−	1.05789i	0.737435	−	0.675418i	$-0.236037\pi$
$578$	−8.13926	+	14.0976i	−0.338549	+	0.586384i
$579$	36.1933	−	43.1335i	1.50414	−	1.79257i
$580$	14.3403	−	4.49600i	0.595448	−	0.186686i
$581$	20.6893	+	35.8350i	0.858339	+	1.48669i
$582$	11.4209	+	6.59387i	0.473412	+	0.273325i
$583$	−7.86124	−	9.36866i	−0.325579	−	0.388010i
$584$	−12.1085	+	6.99087i	−0.501055	+	0.289284i
$585$	−31.3935	+	16.2780i	−1.29796	+	0.673013i
$586$		−	9.93242i		−	0.410304i
$587$	−2.28471	+	12.9572i	−0.0942999	+	0.534802i	0.900660	+	0.434525i	$0.143084\pi$
$587$	−2.28471	+	12.9572i	−0.0942999	+	0.534802i	−0.994960	+	0.100276i	$0.968027\pi$
$588$	22.9368	−	27.3351i	0.945899	−	1.12728i
$589$	−4.98390	+	1.81399i	−0.205358	+	0.0747442i
$590$	−24.9577	+	7.82479i	−1.02749	+	0.322142i
$591$	47.4248			1.95079
$592$	1.44871	−	5.90773i	0.0595415	−	0.242806i
$593$		−	8.00566i		−	0.328753i	−0.986398	−	0.164377i	$-0.947439\pi$
$593$		−	8.00566i		−	0.328753i	0.986398	−	0.164377i	$-0.0525612\pi$
$594$	−12.2378	+	33.6230i	−0.502122	+	1.37957i
$595$	−4.39300	+	6.87110i	−0.180096	+	0.281688i
$596$	−3.81654	−	3.20246i	−0.156332	−	0.131178i
$597$	−2.34667	+	13.3086i	−0.0960429	+	0.544686i
$598$	−9.54383			−0.390276
$599$	0.597637	−	3.38937i	0.0244188	−	0.138486i	−0.970161	−	0.242461i	$-0.922045\pi$
$599$	0.597637	−	3.38937i	0.0244188	−	0.138486i	0.994580	+	0.103975i	$0.0331564\pi$
$600$	−3.98870	−	15.0809i	−0.162838	−	0.615674i
$601$	28.1678	−	23.6356i	1.14899	−	0.964114i	0.149291	−	0.988793i	$-0.452301\pi$
$601$	28.1678	−	23.6356i	1.14899	−	0.964114i	0.999695	+	0.0246789i	$0.00785634\pi$
$602$	17.2907	+	9.98276i	0.704714	+	0.406867i
$603$	−39.0555	+	22.5487i	−1.59046	+	0.918253i
$604$	−7.33514	−	2.66977i	−0.298463	−	0.108632i
$605$	−0.158290	+	3.49576i	−0.00643541	+	0.142123i
$606$	−19.8842	−	11.4802i	−0.807741	−	0.466349i
$607$	−1.37416	−	7.79326i	−0.0557755	−	0.316319i	0.944137	−	0.329553i	$-0.106898\pi$
$607$	−1.37416	−	7.79326i	−0.0557755	−	0.316319i	−0.999912	+	0.0132349i	$0.995787\pi$
$608$	4.82570	−	0.850901i	0.195708	−	0.0345086i
$609$	−57.8747	−	68.9724i	−2.34520	−	2.79490i
$610$	1.55347	−	2.42979i	0.0628982	−	0.0983792i
$611$	−0.235787	−	0.647821i	−0.00953894	−	0.0262080i
$612$	4.38145	−	3.67648i	0.177110	−	0.148613i
$613$	28.9291	−	5.10097i	1.16843	−	0.206026i	0.444424	−	0.895817i	$-0.353408\pi$
$613$	28.9291	−	5.10097i	1.16843	−	0.206026i	0.724009	+	0.689790i	$0.242297\pi$
$614$	7.67031	−	1.35248i	0.309548	−	0.0545817i
$615$	−11.2047	−	86.1841i	−0.451815	−	3.47528i
$616$	8.47792	−	10.1036i	0.341585	−	0.407085i
$617$	6.39279	−	17.5640i	0.257364	−	0.707102i	−0.741964	−	0.670440i	$-0.766105\pi$
$617$	6.39279	−	17.5640i	0.257364	−	0.707102i	0.999328	−	0.0366616i	$-0.0116724\pi$
$618$	17.7186	−	10.2298i	0.712746	−	0.411504i
$619$	17.2663	−	29.9062i	0.693992	−	1.20203i	−0.276527	−	0.961006i	$-0.589183\pi$
$619$	17.2663	−	29.9062i	0.693992	−	1.20203i	0.970519	−	0.241024i	$-0.0774832\pi$
$620$	−0.527657	+	2.36203i	−0.0211912	+	0.0948614i
$621$	40.9944	−	23.6681i	1.64505	−	0.949769i
$622$	−5.30935	−	0.936181i	−0.212885	−	0.0375374i
$623$	−51.5807			−2.06654
$624$	−7.21603	−	1.27238i	−0.288872	−	0.0509360i
$625$	−8.39843	−	23.5471i	−0.335937	−	0.941884i
$626$	−18.9513	+	6.89771i	−0.757446	+	0.275688i
$627$	−44.1271	−	16.0610i	−1.76227	−	0.641413i
$628$		−	24.8329i		−	0.990940i
$629$	4.96098	−	1.44333i	0.197807	−	0.0575495i
$630$	−51.3562	+	39.2753i	−2.04608	+	1.56477i
$631$	−6.23514	+	17.1309i	−0.248217	+	0.681970i	0.751535	+	0.659693i	$0.229314\pi$
$631$	−6.23514	+	17.1309i	−0.248217	+	0.681970i	−0.999752	+	0.0222771i	$0.992908\pi$
$632$	−2.52972	−	6.95036i	−0.100627	−	0.276471i
$633$	−49.4709	+	58.9572i	−1.96629	+	2.34334i
$634$	−8.18716	−	1.44362i	−0.325153	−	0.0573333i
$635$	9.88683	−	7.56107i	0.392347	−	0.300052i
$636$	−2.15705	+	12.2333i	−0.0855327	+	0.485080i
$637$	−13.4309	−	23.2630i	−0.532151	−	0.921713i
$638$	−13.2700	−	15.8146i	−0.525366	−	0.626107i
$639$	−43.5248	+	75.3871i	−1.72181	+	2.98227i
$640$	0.859044	−	2.06447i	0.0339567	−	0.0816054i
$641$	−39.4749	−	14.3677i	−1.55916	−	0.567490i	−0.588620	−	0.808410i	$-0.700329\pi$
$641$	−39.4749	−	14.3677i	−1.55916	−	0.567490i	−0.970545	+	0.240920i	$0.922551\pi$
$642$	31.1257	+	26.1175i	1.22843	+	1.03078i
$643$	−2.03342	+	3.52199i	−0.0801903	+	0.138894i	−0.903332	−	0.428943i	$-0.858886\pi$
$643$	−2.03342	+	3.52199i	−0.0801903	+	0.138894i	0.823141	+	0.567837i	$0.192219\pi$
$644$	−17.1837	+	3.02995i	−0.677132	+	0.119397i
$645$	−23.8804	−	21.9535i	−0.940290	−	0.864417i
$646$	2.67539	+	3.18840i	0.105262	+	0.125446i
$647$	28.4936	−	10.3708i	1.12020	−	0.407719i	0.285474	−	0.958386i	$-0.407849\pi$
$647$	28.4936	−	10.3708i	1.12020	−	0.407719i	0.834725	+	0.550668i	$0.185627\pi$
$648$	15.1682	−	5.52077i	0.595863	−	0.216876i
$649$	23.0950	+	27.5236i	0.906559	+	1.08039i
$650$	−11.6949	−	1.06128i	−0.458712	−	0.0416269i
$651$	14.2796	−	2.51787i	0.559661	−	0.0986833i
$652$	8.14149	−	14.1015i	0.318845	−	0.552256i
$653$	21.2057	+	17.7937i	0.829844	+	0.696322i	0.955255	−	0.295783i	$-0.0955806\pi$
$653$	21.2057	+	17.7937i	0.829844	+	0.696322i	−0.125411	+	0.992105i	$0.540025\pi$
$654$	31.9043	+	11.6122i	1.24756	+	0.454073i
$655$	31.5447	+	13.1260i	1.23255	+	0.512877i
$656$	6.22892	−	10.7888i	0.243199	−	0.421232i
$657$	−60.5177	−	72.1222i	−2.36102	−	2.81376i
$658$	−0.630204	−	1.09155i	−0.0245679	−	0.0425529i
$659$	−7.70123	+	43.6758i	−0.299997	+	1.70137i	0.346169	+	0.938172i	$0.387483\pi$
$659$	−7.70123	+	43.6758i	−0.299997	+	1.70137i	−0.646166	+	0.763197i	$0.723629\pi$
$660$	−17.0216	+	13.0175i	−0.662565	+	0.506705i
$661$	12.1733	+	2.14649i	0.473488	+	0.0834887i	0.405300	−	0.914184i	$-0.367167\pi$
$661$	12.1733	+	2.14649i	0.473488	+	0.0834887i	0.0681882	+	0.997672i	$0.478278\pi$
$662$	−7.78169	+	9.27386i	−0.302444	+	0.360439i
$663$	−2.12867	−	5.84848i	−0.0826708	−	0.227136i
$664$	3.29594	−	9.05551i	0.127907	−	0.351422i
$665$	−28.5808	−	37.3721i	−1.10832	−	1.44923i
$666$	40.8705	+	2.69908i	1.58370	+	0.104587i
$667$			27.3116i			1.05751i
$668$	−8.69328	−	3.16410i	−0.336353	−	0.122423i
$669$	23.5355	−	8.56622i	0.909935	−	0.331189i
$670$	−14.9602	−	0.677407i	−0.577963	−	0.0261705i
$671$	−3.90144	−	0.687930i	−0.150614	−	0.0265572i
$672$	−13.3964			−0.516778
$673$	−19.1947	−	3.38454i	−0.739901	−	0.130464i	−0.209020	−	0.977911i	$-0.567027\pi$
$673$	−19.1947	−	3.38454i	−0.739901	−	0.130464i	−0.530880	+	0.847447i	$0.678139\pi$
$674$	−9.32896	+	5.38608i	−0.359338	+	0.207464i
$675$	52.8660	−	24.4441i	2.03481	−	0.940852i
$676$	3.74206	−	6.48143i	0.143925	−	0.249286i
$677$	−14.6915	+	8.48214i	−0.564640	+	0.325995i	−0.755006	−	0.655718i	$-0.772366\pi$
$677$	−14.6915	+	8.48214i	−0.564640	+	0.325995i	0.190366	+	0.981713i	$0.439033\pi$
$678$	14.8751	−	40.8690i	0.571275	−	1.56956i
$679$	11.6667	−	13.9039i	0.447728	−	0.533581i
$680$	1.88346	−	0.244865i	0.0722273	−	0.00939015i
$681$	−53.3787	+	9.41211i	−2.04548	+	0.360673i
$682$	3.27415	−	0.577321i	0.125374	−	0.0221068i
$683$	4.87967	−	4.09453i	0.186716	−	0.156673i	−0.544639	−	0.838671i	$-0.683333\pi$
$683$	4.87967	−	4.09453i	0.186716	−	0.156673i	0.731354	+	0.681998i	$0.238889\pi$
$684$	11.2853	+	31.0062i	0.431506	+	1.18555i
$685$	−7.07143	+	11.0604i	−0.270185	+	0.422597i
$686$	−12.2474	−	14.5959i	−0.467609	−	0.557275i
$687$	40.5511	−	7.15025i	1.54712	−	0.272799i
$688$	−0.807423	−	4.57912i	−0.0307827	−	0.174577i
$689$	8.09822	+	4.67551i	0.308518	+	0.178123i
$690$	28.3201	+	1.28235i	1.07813	+	0.0488182i
$691$	−18.7141	−	6.81136i	−0.711916	−	0.259116i	−0.0394261	−	0.999222i	$-0.512553\pi$
$691$	−18.7141	−	6.81136i	−0.711916	−	0.259116i	−0.672490	+	0.740106i	$0.734775\pi$
$692$	5.41894	−	3.12862i	0.205997	−	0.118932i
$693$	76.9142	+	44.4064i	2.92173	+	1.68686i
$694$	25.3482	−	21.2697i	0.962205	−	0.807386i
$695$	2.42279	−	5.82249i	0.0919016	−	0.220860i
$696$	−3.64118	+	20.6502i	−0.138019	+	0.782742i
$697$	10.5816			0.400808
$698$	−2.84710	+	16.1467i	−0.107765	+	0.611163i
$699$	−1.03374	−	0.867412i	−0.0390997	−	0.0328085i
$700$	−21.3936	+	1.80203i	−0.808603	+	0.0681101i
$701$	−16.0277	+	44.0356i	−0.605356	+	1.66320i	0.134885	+	0.990861i	$0.456933\pi$
$701$	−16.0277	+	44.0356i	−0.605356	+	1.66320i	−0.740241	+	0.672341i	$0.765289\pi$
$702$		−	27.3581i		−	1.03257i
$703$	−1.96413	+	29.7416i	−0.0740786	+	1.12173i
$704$	−3.07165			−0.115767
$705$	0.612625	+	1.95400i	0.0230728	+	0.0735921i
$706$	30.9163	−	11.2526i	1.16355	−	0.423497i
$707$	−20.3121	+	24.2071i	−0.763917	+	0.910401i
$708$	6.33706	−	35.9393i	0.238161	−	1.35068i
$709$			23.8789i			0.896792i	0.893835	+	0.448396i	$0.148005\pi$
$709$			23.8789i			0.896792i	−0.893835	+	0.448396i	$0.851995\pi$
$710$	−25.6620	+	13.3061i	−0.963079	+	0.499370i
$711$	43.1327	−	24.9027i	1.61760	−	0.933922i
$712$	7.72156	+	9.20220i	0.289378	+	0.344867i
$713$	−3.80908	−	2.19918i	−0.142651	−	0.0823598i
$714$	−5.68943	−	9.85439i	−0.212922	−	0.368791i
$715$	4.82585	+	15.3924i	0.180477	+	0.575641i
$716$	−3.76511	+	4.48708i	−0.140709	+	0.167690i
$717$	−4.60496	+	7.97602i	−0.171975	+	0.297870i
$718$	−2.92922	−	16.6124i	−0.109317	−	0.619970i
$719$	1.40969	+	7.99473i	0.0525725	+	0.298153i	0.999745	−	0.0225705i	$-0.00718501\pi$
$719$	1.40969	+	7.99473i	0.0525725	+	0.298153i	−0.947173	+	0.320724i	$0.896074\pi$
$720$	14.6948	+	3.28269i	0.547644	+	0.122339i
$721$	−9.63077	−	26.4603i	−0.358669	−	0.985434i
$722$	−4.70917	+	1.71400i	−0.175257	+	0.0637885i
$723$	−9.77113	+	8.19895i	−0.363392	+	0.304922i
$724$	−1.84047	−	10.4378i	−0.0684004	−	0.387918i
$725$	−3.03708	+	33.4674i	−0.112794	+	1.24295i
$726$	−4.22835	−	2.44124i	−0.156929	−	0.0906029i
$727$	−11.5610	−	9.70086i	−0.428775	−	0.359785i	0.402714	−	0.915326i	$-0.368067\pi$
$727$	−11.5610	−	9.70086i	−0.428775	−	0.359785i	−0.831489	+	0.555541i	$0.812511\pi$
$728$	−3.44913	+	9.47640i	−0.127833	+	0.351219i
$729$	−0.167583	−	0.290263i	−0.00620680	−	0.0107505i
$730$	−4.03068	−	31.0032i	−0.149182	−	1.14748i
$731$	3.02549	−	2.53868i	0.111902	−	0.0938966i
$732$	2.01192	+	3.48475i	0.0743627	+	0.128800i
$733$	−0.153995	−	0.0271535i	−0.00568793	−	0.00100294i	0.170803	−	0.985305i	$-0.445364\pi$
$733$	−0.153995	−	0.0271535i	−0.00568793	−	0.00100294i	−0.176491	+	0.984302i	$0.556475\pi$
$734$			5.72742i			0.211403i
$735$	36.7287	+	70.8345i	1.35476	+	2.61277i
$736$	3.11293	+	2.61206i	0.114744	+	0.0962817i
$737$	7.03592	+	19.3310i	0.259171	+	0.712067i
$738$	78.8284	+	28.6912i	2.90171	+	1.05614i
$739$	−33.1469			−1.21933			−0.609664	−	0.792660i	$-0.708696\pi$
$739$	−33.1469			−1.21933			−0.609664	+	0.792660i	$0.708696\pi$
$740$	10.9518	+	8.06582i	0.402597	+	0.296505i
$741$	35.9050			1.31900
$742$	16.0652	+	5.84726i	0.589773	+	0.214660i
$743$	1.56280	+	4.29376i	0.0573336	+	0.157523i	0.965053	−	0.262055i	$-0.0844003\pi$
$743$	1.56280	+	4.29376i	0.0573336	+	0.157523i	−0.907719	+	0.419578i	$0.862178\pi$
$744$	−2.58683	−	2.17061i	−0.0948378	−	0.0795784i
$745$	9.88997	−	5.12809i	0.362340	−	0.187879i
$746$		−	29.3847i		−	1.07585i
$747$	63.9047	+	11.2681i	2.33815	+	0.412279i
$748$	−1.30452	−	2.25950i	−0.0476981	−	0.0826156i
$749$	42.8380	−	35.9454i	1.56527	−	1.31341i
$750$	34.5605	+	4.72059i	1.26197	+	0.172372i
$751$	−10.1889	−	17.6478i	−0.371800	−	0.643976i	0.618043	−	0.786144i	$-0.287926\pi$
$751$	−10.1889	−	17.6478i	−0.371800	−	0.643976i	−0.989842	+	0.142168i	$0.954593\pi$
$752$	−0.100395	+	0.275834i	−0.00366104	+	0.0100586i
$753$	23.0610	+	19.3505i	0.840390	+	0.705171i
$754$	13.6701	+	7.89243i	0.497835	+	0.287425i
$755$	11.8129	−	12.8497i	0.429915	−	0.467650i
$756$	−8.68558	−	49.2584i	−0.315892	−	1.79151i
$757$	26.8630	−	22.5407i	0.976352	−	0.819257i	−0.00718280	−	0.999974i	$-0.502286\pi$
$757$	26.8630	−	22.5407i	0.976352	−	0.819257i	0.983535	+	0.180717i	$0.0578419\pi$
$758$	−1.41216	+	0.513983i	−0.0512918	+	0.0186687i
$759$	−13.3192	−	36.5942i	−0.483456	−	1.32828i
$760$	−2.38883	+	10.6935i	−0.0866519	+	0.387893i
$761$	7.05517	+	40.0119i	0.255750	+	1.45043i	0.794141	+	0.607734i	$0.207921\pi$
$761$	7.05517	+	40.0119i	0.255750	+	1.45043i	−0.538391	+	0.842695i	$0.680968\pi$
$762$	3.01562	+	17.1024i	0.109244	+	0.619556i
$763$	23.3638	−	40.4673i	0.845827	−	1.46502i
$764$	4.22059	−	5.02991i	0.152696	−	0.181976i
$765$	3.82612	+	12.2036i	0.138334	+	0.441224i
$766$	7.28782	+	12.6229i	0.263320	+	0.456083i
$767$	−23.7912	−	13.7359i	−0.859052	−	0.495974i
$768$	2.00543	+	2.38997i	0.0723646	+	0.0862407i
$769$	−22.5381	+	13.0124i	−0.812746	+	0.469239i	−0.847909	−	0.530142i	$-0.822139\pi$
$769$	−22.5381	+	13.0124i	−0.812746	+	0.469239i	0.0351623	+	0.999382i	$0.488805\pi$
$770$	13.5757	+	26.1819i	0.489233	+	0.943529i
$771$			47.1103i			1.69664i
$772$	−3.13395	+	17.7735i	−0.112793	+	0.639682i
$773$	−1.57084	+	1.87206i	−0.0564993	+	0.0673332i	−0.793554	−	0.608500i	$-0.791772\pi$
$773$	−1.57084	+	1.87206i	−0.0564993	+	0.0673332i	0.737055	+	0.675833i	$0.236216\pi$
$774$	29.4219	−	10.7087i	1.05755	−	0.384916i
$775$	−4.42306	−	3.11842i	−0.158881	−	0.112017i
$776$	−4.22699			−0.151740
$777$	19.4075	−	79.1424i	0.696240	−	2.83922i
$778$		−	3.60827i		−	0.129363i
$779$	−20.8787	+	57.3637i	−0.748057	+	2.05527i
$780$	8.82568	−	13.8043i	0.316010	−	0.494272i
$781$	30.4185	+	25.5242i	1.08846	+	0.913327i
$782$	−0.599371	+	3.39920i	−0.0214334	+	0.121555i
$783$	−78.2910			−2.79789
$784$	−1.98608	+	11.2636i	−0.0709315	+	0.402273i
$785$	51.2668	+	21.3326i	1.82979	+	0.761392i
$786$	−36.5183	+	30.6425i	−1.30257	+	1.09298i
$787$	13.1197	+	7.57465i	0.467666	+	0.270007i	0.715262	−	0.698856i	$-0.246307\pi$
$787$	13.1197	+	7.57465i	0.467666	+	0.270007i	−0.247596	+	0.968863i	$0.579641\pi$
$788$	−13.1643	+	7.60040i	−0.468958	+	0.270753i
$789$	2.95815	+	1.07668i	0.105313	+	0.0383307i
$790$	16.5220	+	0.748125i	0.587825	+	0.0266171i
$791$	−51.8382	−	29.9288i	−1.84315	−	1.06414i
$792$	−3.59167	−	20.3694i	−0.127624	−	0.723794i
$793$	2.98305	−	0.525993i	0.105931	−	0.0186786i
$794$	−9.69331	−	11.5520i	−0.344003	−	0.409966i
$795$	−23.4022	−	14.9621i	−0.829990	−	0.530650i
$796$	−1.48148	−	4.07032i	−0.0525096	−	0.144269i
$797$	−32.0421	+	26.8865i	−1.13499	+	0.952370i	−0.999263	−	0.0383760i	$-0.987782\pi$
$797$	−32.0421	+	26.8865i	−1.13499	+	0.952370i	−0.135727	+	0.990746i	$0.543337\pi$
$798$	64.6471	−	11.3990i	2.28848	−	0.403521i
$799$	−0.245540	+	0.0432954i	−0.00868660	+	0.00153168i
$800$	3.52409	+	3.54695i	0.124595	+	0.125403i
$801$	−51.9947	+	61.9649i	−1.83714	+	2.18942i
$802$	0.858462	−	2.35860i	0.0303133	−	0.0832852i
$803$	−37.1932	+	21.4735i	−1.31252	+	0.757784i
$804$	10.4473	−	18.0953i	0.368450	−	0.638173i
$805$	8.50631	−	38.0781i	0.299808	−	1.34208i
$806$	−2.20147	+	1.27102i	−0.0775436	+	0.0447698i
$807$	74.2323	+	13.0891i	2.61310	+	0.460760i
$808$	7.35933			0.258900
$809$	19.8586	+	3.50161i	0.698192	+	0.123110i	0.511468	−	0.859302i	$-0.329102\pi$
$809$	19.8586	+	3.50161i	0.698192	+	0.123110i	0.186724	+	0.982412i	$0.440213\pi$
$810$	−1.63268	+	36.0569i	−0.0573665	+	1.26691i
$811$	−9.70561	+	3.53255i	−0.340810	+	0.124045i	−0.506754	−	0.862090i	$-0.669155\pi$
$811$	−9.70561	+	3.53255i	−0.340810	+	0.124045i	0.165945	+	0.986135i	$0.446933\pi$
$812$	27.1187	+	9.87039i	0.951679	+	0.346383i
$813$			53.7363i			1.88461i
$814$	4.44992	−	18.1465i	0.155970	−	0.636034i
$815$	22.1182	+	28.9217i	0.774766	+	1.01308i
$816$	−0.906361	+	2.49021i	−0.0317290	+	0.0871746i
$817$	7.79276	+	21.4104i	0.272634	+	0.749056i
$818$	5.23930	−	6.24396i	0.183188	−	0.218315i
$819$	−66.8749	−	11.7918i	−2.33680	−	0.412040i
$820$	16.9223	+	22.1275i	0.590951	+	0.772726i
$821$	4.09993	−	23.2519i	0.143089	−	0.811496i	−0.825793	−	0.563973i	$-0.809272\pi$
$821$	4.09993	−	23.2519i	0.143089	−	0.811496i	0.968882	−	0.247523i	$-0.0796167\pi$
$822$	−9.15830	−	15.8626i	−0.319432	−	0.553273i
$823$	−18.1295	−	21.6059i	−0.631956	−	0.753135i	0.351121	−	0.936330i	$-0.385801\pi$
$823$	−18.1295	−	21.6059i	−0.631956	−	0.753135i	−0.983077	+	0.183195i	$0.941356\pi$
$824$	−3.27891	+	5.67924i	−0.114226	+	0.197846i
$825$	−12.2519	−	46.3232i	−0.426556	−	1.61277i
$826$	−47.1970	−	17.1783i	−1.64219	−	0.597710i
$827$	−10.0642	−	8.44485i	−0.349966	−	0.293656i	0.450811	−	0.892620i	$-0.351135\pi$
$827$	−10.0642	−	8.44485i	−0.349966	−	0.293656i	−0.800776	+	0.598964i	$0.795579\pi$
$828$	−13.6817	+	23.6973i	−0.475471	+	0.823540i
$829$	−43.1683	+	7.61173i	−1.49930	+	0.264366i	−0.862259	−	0.506467i	$-0.830951\pi$
$829$	−43.1683	+	7.61173i	−1.49930	+	0.264366i	−0.637036	+	0.770834i	$0.719840\pi$
$830$	15.8635	+	14.5834i	0.550630	+	0.506199i
$831$	−8.54522	−	10.1838i	−0.296430	−	0.353272i
$832$	2.20696	−	0.803266i	0.0765124	−	0.0278482i
$833$	−9.12900	+	3.32268i	−0.316301	+	0.115124i
$834$	5.65596	+	6.74051i	0.195850	+	0.233405i
$835$	14.0001	−	15.2289i	0.484494	−	0.527019i
$836$	14.8229	−	2.61367i	0.512660	−	0.0903957i
$837$	6.30411	−	10.9190i	0.217902	−	0.377417i
$838$	3.23734	+	2.71645i	0.111832	+	0.0938384i
$839$	−15.2151	−	5.53785i	−0.525285	−	0.191188i	0.0657470	−	0.997836i	$-0.479057\pi$
$839$	−15.2151	−	5.53785i	−0.525285	−	0.191188i	−0.591032	+	0.806648i	$0.701279\pi$
$840$	11.5081	−	27.6565i	0.397068	−	0.954241i
$841$	8.08580	−	14.0050i	0.278821	−	0.482932i
$842$	−11.7412	−	13.9927i	−0.404630	−	0.482219i
$843$	−19.5373	−	33.8395i	−0.672899	−	1.16550i
$844$	4.28365	−	24.2938i	0.147449	−	0.836226i
$845$	10.1661	+	13.2932i	0.349726	+	0.457300i
$846$	−1.94656	−	0.343230i	−0.0669240	−	0.0118005i
$847$	−4.31935	+	5.14760i	−0.148415	+	0.176874i
$848$	−1.36177	−	3.74143i	−0.0467633	−	0.128481i
$849$	8.33792	−	22.9082i	0.286157	−	0.786209i
$850$	−1.11246	+	4.09869i	−0.0381569	+	0.140584i
$851$	−19.9410	+	14.6062i	−0.683570	+	0.500695i
$852$		−	40.3322i		−	1.38176i
$853$	−47.7554	−	17.3815i	−1.63511	−	0.595133i	−0.648939	−	0.760841i	$-0.724787\pi$
$853$	−47.7554	−	17.3815i	−1.63511	−	0.595133i	−0.986175	+	0.165708i	$0.947009\pi$
$854$	5.20400	−	1.89410i	0.178077	−	0.0648148i
$855$	−73.7060	−	3.33746i	−2.52069	−	0.114139i
$856$	−12.8256	−	2.26150i	−0.438369	−	0.0772963i
$857$	23.6867			0.809124			0.404562	−	0.914511i	$-0.367424\pi$
$857$	23.6867			0.809124			0.404562	+	0.914511i	$0.367424\pi$
$858$	−22.1651	−	3.90831i	−0.756705	−	0.133428i
$859$	0.244556	−	0.141194i	0.00834413	−	0.00481748i	−0.495822	−	0.868424i	$-0.665133\pi$
$859$	0.244556	−	0.141194i	0.00834413	−	0.00481748i	0.504166	+	0.863607i	$0.331800\pi$
$860$	10.1471	+	2.26677i	0.346013	+	0.0772962i
$861$	83.4453	−	144.531i	2.84381	−	4.92562i
$862$	2.01508	−	1.16341i	0.0686338	−	0.0396258i
$863$	14.1443	−	38.8611i	0.481476	−	1.32285i	−0.426751	−	0.904369i	$-0.640342\pi$
$863$	14.1443	−	38.8611i	0.481476	−	1.32285i	0.908228	−	0.418477i	$-0.137436\pi$
$864$	−7.48767	+	8.92345i	−0.254736	+	0.303582i
$865$	1.80385	+	13.8749i	0.0613327	+	0.471760i
$866$	−8.11557	+	1.43099i	−0.275778	+	0.0486272i
$867$	50.0156	−	8.81910i	1.69862	−	0.299512i
$868$	−3.56024	+	2.98739i	−0.120842	+	0.101399i
$869$	−7.77043	−	21.3491i	−0.263594	−	0.724218i
$870$	−39.5037	−	25.2565i	−1.33930	−	0.856276i
$871$	−10.1105	−	12.0492i	−0.342581	−	0.408272i
$872$	−10.7171	+	1.88971i	−0.362925	+	0.0639935i
$873$	−4.94260	−	28.0309i	−0.167282	−	0.948702i
$874$	−17.2446	−	9.95620i	−0.583309	−	0.336774i
$875$	14.6579	−	45.7146i	0.495526	−	1.54543i
$876$	40.9908	+	14.9194i	1.38495	+	0.504080i
$877$	33.0200	−	19.0641i	1.11500	−	0.643748i	0.174884	−	0.984589i	$-0.444045\pi$
$877$	33.0200	−	19.0641i	1.11500	−	0.643748i	0.940121	+	0.340841i	$0.110712\pi$
$878$	23.7461	+	13.7098i	0.801391	+	0.462683i
$879$	−23.7382	+	19.9187i	−0.800670	+	0.671842i
$880$	2.63869	−	6.34134i	0.0889501	−	0.213766i
$881$	−7.97945	+	45.2537i	−0.268834	+	1.52464i	0.489055	+	0.872253i	$0.337342\pi$
$881$	−7.97945	+	45.2537i	−0.268834	+	1.52464i	−0.757890	+	0.652383i	$0.773769\pi$
$882$	−77.0160			−2.59326
$883$	−4.39758	+	24.9399i	−0.147990	+	0.839295i	0.816927	+	0.576741i	$0.195676\pi$
$883$	−4.39758	+	24.9399i	−0.147990	+	0.839295i	−0.964917	+	0.262554i	$0.915435\pi$
$884$	1.52817	+	1.28229i	0.0513979	+	0.0431280i
$885$	68.7518	+	43.9561i	2.31107	+	1.47757i
$886$	2.21327	−	6.08090i	0.0743561	−	0.204292i
$887$		−	11.6262i		−	0.390369i	−0.980767	−	0.195184i	$-0.937469\pi$
$887$		−	11.6262i		−	0.390369i	0.980767	−	0.195184i	$-0.0625305\pi$
$888$	−17.0246	+	8.38514i	−0.571308	+	0.281387i
$889$	23.9011			0.801616
$890$	−25.6308	+	8.03585i	−0.859148	+	0.269362i
$891$	46.5914	−	16.9579i	1.56087	−	0.568111i
$892$	−5.16019	+	6.14968i	−0.172776	+	0.205906i
$893$	0.249770	−	1.41652i	0.00835824	−	0.0474019i
$894$			15.5437i			0.519860i
$895$	−6.02906	−	11.6276i	−0.201529	−	0.388667i
$896$	3.71861	−	2.14694i	0.124230	−	0.0717242i
$897$	19.1394	+	22.8095i	0.639047	+	0.761587i
$898$	4.92459	+	2.84321i	0.164336	+	0.0948792i
$899$	3.63729	+	6.29997i	0.121310	+	0.210116i
$900$	−19.4005	+	27.5171i	−0.646684	+	0.917235i
$901$	2.17385	−	2.59069i	0.0724214	−	0.0863084i
$902$	19.1331	−	33.1395i	0.637062	−	1.10342i
$903$	−10.8166	−	61.3439i	−0.359953	−	2.04140i
$904$	2.42069	+	13.7284i	0.0805110	+	0.456601i
$905$	23.1296	+	5.16695i	0.768854	+	0.171755i
$906$	8.32939	+	22.8848i	0.276726	+	0.760297i
$907$	−34.5477	+	12.5743i	−1.14714	+	0.417523i	−0.844486	−	0.535578i	$-0.820094\pi$
$907$	−34.5477	+	12.5743i	−1.14714	+	0.417523i	−0.302650	+	0.953102i	$0.597871\pi$
$908$	13.3086	−	11.1672i	0.441661	−	0.370597i
$909$	8.60524	+	48.8027i	0.285418	+	1.61868i
$910$	−16.6008	−	15.2613i	−0.550311	−	0.505906i
$911$	42.1362	+	24.3274i	1.39604	+	0.806001i	0.993975	−	0.109611i	$-0.0349607\pi$
$911$	42.1362	+	24.3274i	1.39604	+	0.806001i	0.402061	+	0.915613i	$0.368294\pi$
$912$	−11.7112	−	9.82687i	−0.387797	−	0.325400i
$913$	10.1240	−	27.8154i	0.335054	−	0.920554i
$914$	20.6596	+	35.7835i	0.683358	+	1.18361i
$915$	−8.92250	+	1.16000i	−0.294969	+	0.0383484i
$916$	−10.1103	+	8.48358i	−0.334055	+	0.280305i
$917$	32.8048	+	56.8196i	1.08331	+	1.87635i
$918$	−9.74408	−	1.71814i	−0.321602	−	0.0567072i
$919$			24.5114i			0.808557i	0.914636	+	0.404279i	$0.132477\pi$
$919$			24.5114i			0.808557i	−0.914636	+	0.404279i	$0.867523\pi$
$920$	−8.06666	+	4.18268i	−0.265950	+	0.137899i
$921$	−18.6146	−	15.6195i	−0.613373	−	0.514681i
$922$	11.0645	+	30.3995i	0.364390	+	1.00115i
$923$	−28.5303	−	10.3842i	−0.939086	−	0.341799i
$924$	−41.1491			−1.35371
$925$	−26.0598	+	15.6809i	−0.856840	+	0.515583i
$926$	27.2641			0.895953
$927$	−41.4953	−	15.1031i	−1.36289	−	0.496050i
$928$	−2.29871	−	6.31566i	−0.0754589	−	0.207322i
$929$	−23.5166	−	19.7327i	−0.771554	−	0.647410i	0.169553	−	0.985521i	$-0.445768\pi$
$929$	−23.5166	−	19.7327i	−0.771554	−	0.647410i	−0.941106	+	0.338111i	$0.890212\pi$
$930$	6.70336	−	3.47579i	0.219812	−	0.113976i
$931$		−	56.0449i		−	1.83680i
$932$	0.425962	+	0.0751085i	0.0139528	+	0.00246026i
$933$	8.41005	+	14.5666i	0.275333	+	0.476890i
$934$	−17.2840	+	14.5030i	−0.565548	+	0.474551i
$935$	5.78532	−	0.752140i	0.189200	−	0.0245976i
$936$	7.90736	+	13.6960i	0.258460	+	0.447666i
$937$	12.1709	−	33.4392i	0.397605	−	1.09241i	−0.565843	−	0.824513i	$-0.691449\pi$
$937$	12.1709	−	33.4392i	0.397605	−	1.09241i	0.963447	−	0.267897i	$-0.0863288\pi$
$938$	−22.0293	−	18.4848i	−0.719282	−	0.603549i
$939$	54.4907	+	31.4602i	1.77824	+	1.02667i
$940$	−0.483207	−	0.444216i	−0.0157605	−	0.0144887i
$941$	0.427767	+	2.42599i	0.0139448	+	0.0790849i	0.990986	−	0.133966i	$-0.0427712\pi$
$941$	0.427767	+	2.42599i	0.0139448	+	0.0790849i	−0.977041	+	0.213051i	$0.931660\pi$
$942$	−59.3500	+	49.8005i	−1.93373	+	1.62259i
$943$	−47.5711	+	17.3145i	−1.54913	+	0.563837i
$944$	4.00065	+	10.9917i	0.130210	+	0.357749i
$945$	109.154	+	24.3840i	3.55077	+	0.793212i
$946$	−2.48012	−	14.0655i	−0.0806358	−	0.457308i
$947$	4.37931	+	24.8363i	0.142308	+	0.807071i	0.969489	+	0.245135i	$0.0788323\pi$
$947$	4.37931	+	24.8363i	0.142308	+	0.807071i	−0.827181	+	0.561936i	$0.810057\pi$
$948$	−11.5380	+	19.9844i	−0.374737	+	0.649063i
$949$	21.1075	−	25.1549i	0.685178	−	0.816563i
$950$	−20.0243	−	14.1178i	−0.649673	−	0.458043i
$951$	12.9685	+	22.4621i	0.420533	+	0.728385i
$952$	3.15857	+	1.82360i	0.102370	+	0.0591033i
$953$	5.06105	+	6.03152i	0.163943	+	0.195380i	0.841762	−	0.539849i	$-0.181519\pi$
$953$	5.06105	+	6.03152i	0.163943	+	0.195380i	−0.677818	+	0.735230i	$0.737074\pi$
$954$	23.2186	−	13.4053i	0.751730	−	0.434011i
$955$	6.75842	+	13.0342i	0.218697	+	0.421777i
$956$		−	2.95200i		−	0.0954746i
$957$	−11.1844	+	63.4301i	−0.361541	+	2.05040i
$958$	5.65347	−	6.73754i	0.182655	−	0.217680i
$959$	−23.6887	+	8.62198i	−0.764948	+	0.278418i
$960$	−6.65678	+	2.08705i	−0.214847	+	0.0673593i
$961$	29.8285			0.962209
$962$	1.54825	+	14.2018i	0.0499175	+	0.457884i
$963$		−	87.6960i		−	2.82596i
$964$	1.39831	−	3.84182i	0.0450365	−	0.123737i
$965$	−34.0007	−	21.7382i	−1.09452	−	0.699776i
$966$	41.7021	+	34.9922i	1.34174	+	1.12586i
$967$	4.62210	−	26.2132i	0.148637	−	0.842960i	−0.815738	−	0.578421i	$-0.803669\pi$
$967$	4.62210	−	26.2132i	0.148637	−	0.842960i	0.964375	−	0.264539i	$-0.0852198\pi$
$968$	1.56495			0.0502995
$969$	2.25491	−	12.7882i	0.0724380	−	0.410816i
$970$	3.63117	−	8.72651i	0.116590	−	0.280191i
$971$	−0.643379	+	0.539859i	−0.0206470	+	0.0173249i	−0.653053	−	0.757312i	$-0.726512\pi$
$971$	−0.643379	+	0.539859i	−0.0206470	+	0.0173249i	0.632406	+	0.774637i	$0.282068\pi$
$972$	−13.3489	−	7.70697i	−0.428165	−	0.247201i
$973$	10.4877	−	6.05508i	0.336220	−	0.194117i
$974$	−9.27933	−	3.37740i	−0.297329	−	0.108219i
$975$	20.9168	+	30.0788i	0.669875	+	0.963294i
$976$	−1.11695	−	0.644870i	−0.0357526	−	0.0206418i
$977$	−5.15913	−	29.2589i	−0.165055	−	0.936075i	−0.949007	−	0.315253i	$-0.897910\pi$
$977$	−5.15913	−	29.2589i	−0.165055	−	0.936075i	0.783952	−	0.620821i	$-0.213201\pi$
$978$	−50.0293	+	8.82152i	−1.59976	+	0.282081i
$979$	23.7180	+	28.2660i	0.758029	+	0.903384i
$980$	−21.5473	−	13.7762i	−0.688304	−	0.440064i
$981$	−25.0628	−	68.8595i	−0.800194	−	2.19852i
$982$	26.4023	−	22.1541i	0.842530	−	0.706966i
$983$	−7.62910	+	1.34522i	−0.243330	+	0.0429057i	−0.293983	−	0.955811i	$-0.594981\pi$
$983$	−7.62910	+	1.34522i	−0.243330	+	0.0429057i	0.0506527	+	0.998716i	$0.483870\pi$
$984$	−38.2766	+	6.74920i	−1.22021	+	0.215157i
$985$	−4.38211	−	33.7063i	−0.139625	−	1.07397i
$986$	3.66953	−	4.37318i	0.116862	−	0.139270i
$987$	−1.34494	+	3.69518i	−0.0428098	+	0.117619i
$988$	−9.96660	+	5.75422i	−0.317080	+	0.183066i
$989$	−9.44748	+	16.3635i	−0.300412	+	0.520329i
$990$	45.1374	+	10.0833i	1.43456	+	0.320468i
$991$	38.5897	−	22.2798i	1.22584	−	0.707740i	0.259684	−	0.965694i	$-0.416381\pi$
$991$	38.5897	−	22.2798i	1.22584	−	0.707740i	0.966157	+	0.257954i	$0.0830481\pi$
$992$	1.06592	+	0.187951i	0.0338431	+	0.00596746i
$993$	37.7699			1.19859
$994$	−54.6655	−	9.63901i	−1.73389	−	0.305731i
$995$	9.67572	+	0.438123i	0.306741	+	0.0138894i
$996$	−28.2522	+	10.2830i	−0.895204	+	0.325828i
$997$	30.0637	+	10.9423i	0.952127	+	0.346546i	0.770944	−	0.636903i	$-0.219785\pi$
$997$	30.0637	+	10.9423i	0.952127	+	0.346546i	0.181184	+	0.983449i	$0.442007\pi$
$998$		−	34.6748i		−	1.09761i
$999$	−41.8699	−	57.1626i	−1.32470	−	1.80854i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.v.b.169.1	yes	60
5.4	even	2		370.2.v.a.169.10	✓	60
37.30	even	18		370.2.v.a.289.10	yes	60
185.104	even	18	inner	370.2.v.b.289.1	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.v.a.169.10	✓	60	5.4	even	2
370.2.v.a.289.10	yes	60	37.30	even	18
370.2.v.b.169.1	yes	60	1.1	even	1	trivial
370.2.v.b.289.1	yes	60	185.104	even	18	inner

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.v (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.939693 + 0.342020i) q^{2} +(-1.06706 - 2.93174i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.98508 + 1.02929i) q^{5} -3.11989i q^{6} +(-4.22864 - 0.745624i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-5.15832 + 4.32834i) q^{9} +O(q^{10})\)	\(q+(0.939693 + 0.342020i) q^{2} +(-1.06706 - 2.93174i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.98508 + 1.02929i) q^{5} -3.11989i q^{6} +(-4.22864 - 0.745624i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-5.15832 + 4.32834i) q^{9} +(-2.21741 + 0.288281i) q^{10} +(1.53583 + 2.66013i) q^{11} +(1.06706 - 2.93174i) q^{12} +(-1.79913 - 1.50965i) q^{13} +(-3.71861 - 2.14694i) q^{14} +(5.13583 + 4.72142i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-0.650675 + 0.545981i) q^{17} +(-6.32761 + 2.30306i) q^{18} +(-1.67595 - 4.60463i) q^{19} +(-2.18228 - 0.487502i) q^{20} +(2.32626 + 13.1929i) q^{21} +(0.533387 + 3.02499i) q^{22} +(2.03182 - 3.51921i) q^{23} +(2.00543 - 2.38997i) q^{24} +(2.88111 - 4.08647i) q^{25} +(-1.17430 - 2.03394i) q^{26} +(10.0881 + 5.82437i) q^{27} +(-2.76005 - 3.28930i) q^{28} +(-5.82054 + 3.36049i) q^{29} +(3.21128 + 6.19324i) q^{30} -1.08237i q^{31} +(-0.173648 + 0.984808i) q^{32} +(6.15997 - 7.34117i) q^{33} +(-0.798171 + 0.290511i) q^{34} +(9.16168 - 2.87239i) q^{35} -6.73370 q^{36} +(-5.56641 - 2.45256i) q^{37} -4.90014i q^{38} +(-2.50610 + 6.88545i) q^{39} +(-1.88394 - 1.20449i) q^{40} +(-9.54326 - 8.00775i) q^{41} +(-2.32626 + 13.1929i) q^{42} -4.64976 q^{43} +(-0.533387 + 3.02499i) q^{44} +(5.78455 - 13.9015i) q^{45} +(3.11293 - 2.61206i) q^{46} +(0.254210 + 0.146768i) q^{47} +(2.70190 - 1.55994i) q^{48} +(10.7476 + 3.91182i) q^{49} +(4.10501 - 2.85463i) q^{50} +(2.29499 + 1.32501i) q^{51} +(-0.407829 - 2.31291i) q^{52} +(-3.92105 + 0.691388i) q^{53} +(7.48767 + 8.92345i) q^{54} +(-5.78680 - 3.69976i) q^{55} +(-1.46859 - 4.03493i) q^{56} +(-11.7112 + 9.82687i) q^{57} +(-6.61888 + 1.16709i) q^{58} +(11.5194 - 2.03118i) q^{59} +(0.899406 + 6.91806i) q^{60} +(-0.829028 + 0.987998i) q^{61} +(0.370192 - 1.01709i) q^{62} +(25.0400 - 14.4569i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(5.12528 + 1.14494i) q^{65} +(8.29930 - 4.79161i) q^{66} +(6.59551 + 1.16297i) q^{67} -0.849396 q^{68} +(-12.4855 - 2.20153i) q^{69} +(9.59158 + 0.434313i) q^{70} +(12.1478 - 4.42144i) q^{71} +(-6.32761 - 2.30306i) q^{72} +13.9817i q^{73} +(-4.39189 - 4.20848i) q^{74} +(-15.0548 - 4.08613i) q^{75} +(1.67595 - 4.60463i) q^{76} +(-4.51101 - 12.3939i) q^{77} +(-4.70993 + 5.61307i) q^{78} +(-7.28405 - 1.28437i) q^{79} +(-1.35836 - 1.77619i) q^{80} +(2.80297 - 15.8964i) q^{81} +(-6.22892 - 10.7888i) q^{82} +(-6.19433 - 7.38212i) q^{83} +(-6.69821 + 11.6016i) q^{84} +(0.729669 - 1.75355i) q^{85} +(-4.36935 - 1.59031i) q^{86} +(16.0630 + 13.4784i) q^{87} +(-1.53583 + 2.66013i) q^{88} +(11.8301 - 2.08597i) q^{89} +(10.1903 - 11.0847i) q^{90} +(6.48224 + 7.72523i) q^{91} +(3.81857 - 1.38985i) q^{92} +(-3.17322 + 1.15496i) q^{93} +(0.188681 + 0.224862i) q^{94} +(8.06641 + 7.41553i) q^{95} +(3.07249 - 0.541763i) q^{96} +(-2.11350 + 3.66068i) q^{97} +(8.76155 + 7.35181i) q^{98} +(-19.4362 - 7.07421i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) \) 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9	\( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) \) 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9 - 9 * q^10 + 6 * q^11 + 3 * q^13 + 9 * q^14 - 6 * q^15 - 3 * q^17 - 12 * q^18 + 3 * q^19 + 3 * q^20 + 12 * q^21 + 3 * q^22 + 18 * q^23 - 18 * q^25 - 27 * q^26 + 18 * q^30 + 66 * q^33 + 21 * q^34 + 9 * q^35 - 72 * q^36 - 6 * q^37 + 12 * q^39 + 12 * q^40 - 57 * q^41 - 12 * q^42 - 60 * q^43 - 3 * q^44 + 9 * q^45 - 21 * q^46 + 18 * q^47 - 6 * q^49 + 6 * q^50 + 3 * q^52 + 6 * q^53 + 3 * q^55 - 30 * q^57 - 15 * q^58 - 12 * q^59 - 9 * q^60 + 42 * q^61 + 12 * q^62 + 9 * q^63 - 30 * q^64 - 15 * q^65 + 18 * q^67 + 24 * q^68 + 36 * q^69 - 12 * q^70 + 18 * q^71 - 12 * q^72 + 3 * q^74 - 78 * q^75 - 3 * q^76 - 21 * q^77 - 6 * q^78 - 24 * q^79 - 36 * q^81 - 27 * q^82 - 30 * q^83 + 12 * q^84 - 30 * q^85 - 18 * q^86 + 30 * q^87 - 6 * q^88 + 3 * q^89 + 57 * q^91 - 15 * q^92 - 60 * q^93 + 3 * q^94 + 6 * q^95 - 84 * q^97 + 6 * q^98 - 45 * q^99

Introduction

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