LMFDB - Embedded newform 430.2.k.c.231.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(11,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 10]))

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

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

chi := DirichletCharacter("430.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.k (of order $7$, 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:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 5 x^{17} + 20 x^{16} - 61 x^{15} + 142 x^{14} - 195 x^{13} + 244 x^{12} + 320 x^{11} + \cdots + 49 $ x^18 - 5x^17 + 20x^16 - 61x^15 + 142x^14 - 195x^13 + 244x^12 + 320x^11 + 64x^10 - 562x^9 + 4114x^8 - 1933x^7 + 2941x^6 - 2555x^5 + 2807x^4 - 2366x^3 + 1225x^2 - 343*x + 49
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			231.2
Root			$0.168441 - 0.737990i$ of defining polynomial
Character	$\chi$	$=$	430.231
Dual form			430.2.k.c.121.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.222521 + 0.974928i) q^{2} +(0.168441 - 0.737990i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(0.623490 + 0.781831i) q^{5} +0.756969 q^{6} -2.52891 q^{7} +(-0.623490 - 0.781831i) q^{8} +(2.18665 + 1.05304i) q^{9} +O(q^{10})$	\(q+(0.222521 + 0.974928i) q^{2} +(0.168441 - 0.737990i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(0.623490 + 0.781831i) q^{5} +0.756969 q^{6} -2.52891 q^{7} +(-0.623490 - 0.781831i) q^{8} +(2.18665 + 1.05304i) q^{9} +(-0.623490 + 0.781831i) q^{10} +(2.48795 + 1.19813i) q^{11} +(0.168441 + 0.737990i) q^{12} +(2.76552 + 3.46785i) q^{13} +(-0.562736 - 2.46551i) q^{14} +(0.682005 - 0.328436i) q^{15} +(0.623490 - 0.781831i) q^{16} +(-4.04501 + 5.07228i) q^{17} +(-0.540058 + 2.36615i) q^{18} +(2.31484 - 1.11477i) q^{19} +(-0.900969 - 0.433884i) q^{20} +(-0.425974 + 1.86631i) q^{21} +(-0.614474 + 2.69218i) q^{22} +(3.51100 + 1.69081i) q^{23} +(-0.682005 + 0.328436i) q^{24} +(-0.222521 + 0.974928i) q^{25} +(-2.76552 + 3.46785i) q^{26} +(2.56134 - 3.21182i) q^{27} +(2.27847 - 1.09725i) q^{28} +(-0.333913 - 1.46297i) q^{29} +(0.471962 + 0.591822i) q^{30} +(-0.0509977 - 0.223436i) q^{31} +(0.900969 + 0.433884i) q^{32} +(1.30329 - 1.63427i) q^{33} +(-5.84521 - 2.81490i) q^{34} +(-1.57675 - 1.97718i) q^{35} -2.42700 q^{36} -3.63716 q^{37} +(1.60192 + 2.00874i) q^{38} +(3.02507 - 1.45680i) q^{39} +(0.222521 - 0.974928i) q^{40} +(0.584437 + 2.56058i) q^{41} -1.91431 q^{42} +(1.12104 - 6.46090i) q^{43} -2.76142 q^{44} +(0.540058 + 2.36615i) q^{45} +(-0.867146 + 3.79921i) q^{46} +(1.14403 - 0.550937i) q^{47} +(-0.471962 - 0.591822i) q^{48} -0.604591 q^{49} -1.00000 q^{50} +(3.06195 + 3.83956i) q^{51} +(-3.99629 - 1.92451i) q^{52} +(-2.73449 + 3.42895i) q^{53} +(3.70124 + 1.78242i) q^{54} +(0.614474 + 2.69218i) q^{55} +(1.57675 + 1.97718i) q^{56} +(-0.432773 - 1.89610i) q^{57} +(1.35198 - 0.651082i) q^{58} +(5.08124 - 6.37167i) q^{59} +(-0.471962 + 0.591822i) q^{60} +(1.87879 - 8.23153i) q^{61} +(0.206486 - 0.0994382i) q^{62} +(-5.52985 - 2.66304i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(-0.987003 + 4.32434i) q^{65} +(1.88330 + 0.906951i) q^{66} +(-7.71625 + 3.71595i) q^{67} +(1.44365 - 6.32503i) q^{68} +(1.83920 - 2.30628i) q^{69} +(1.57675 - 1.97718i) q^{70} +(-1.23330 + 0.593927i) q^{71} +(-0.540058 - 2.36615i) q^{72} +(-5.20937 - 6.53234i) q^{73} +(-0.809344 - 3.54597i) q^{74} +(0.682005 + 0.328436i) q^{75} +(-1.60192 + 2.00874i) q^{76} +(-6.29182 - 3.02998i) q^{77} +(2.09341 + 2.62506i) q^{78} -2.54336 q^{79} +1.00000 q^{80} +(2.60077 + 3.26126i) q^{81} +(-2.36634 + 1.13957i) q^{82} +(2.54791 - 11.1631i) q^{83} +(-0.425974 - 1.86631i) q^{84} -6.48769 q^{85} +(6.54837 - 0.344751i) q^{86} -1.13590 q^{87} +(-0.614474 - 2.69218i) q^{88} +(2.54127 - 11.1340i) q^{89} +(-2.18665 + 1.05304i) q^{90} +(-6.99377 - 8.76991i) q^{91} -3.89692 q^{92} -0.173483 q^{93} +(0.791696 + 0.992755i) q^{94} +(2.31484 + 1.11477i) q^{95} +(0.471962 - 0.591822i) q^{96} +(7.50022 + 3.61192i) q^{97} +(-0.134534 - 0.589433i) q^{98} +(4.17860 + 5.23980i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9}+O(q^{10}) $ 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9} + 3 q^{10} + 5 q^{11} + 5 q^{12} + 22 q^{13} - 8 q^{14} - 2 q^{15} - 3 q^{16} + q^{17} + 13 q^{18} - 7 q^{19} - 3 q^{20} + 10 q^{21} - 5 q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 22 q^{26} + 20 q^{27} + q^{28} - 6 q^{29} + 2 q^{30} - 5 q^{31} + 3 q^{32} + 39 q^{33} - q^{34} - 13 q^{35} + 8 q^{36} - 18 q^{37} - 7 q^{39} + 3 q^{40} + 16 q^{41} + 4 q^{42} - 13 q^{43} - 2 q^{44} - 13 q^{45} - 8 q^{46} - 36 q^{47} - 2 q^{48} - 14 q^{49} - 18 q^{50} - 30 q^{51} - 20 q^{52} - 18 q^{53} + 29 q^{54} + 5 q^{55} + 13 q^{56} + 29 q^{57} - 8 q^{58} - 4 q^{59} - 2 q^{60} + 42 q^{61} - 2 q^{62} - 29 q^{63} - 3 q^{64} + 8 q^{65} + 24 q^{66} - 19 q^{67} + q^{68} - 51 q^{69} + 13 q^{70} - 27 q^{71} + 13 q^{72} + 28 q^{73} + 4 q^{74} - 2 q^{75} + 42 q^{77} - 35 q^{78} - 26 q^{79} + 18 q^{80} - 4 q^{81} + 19 q^{82} + 62 q^{83} + 10 q^{84} - 6 q^{85} - 15 q^{86} - 66 q^{87} - 5 q^{88} - 12 q^{89} + 6 q^{90} - 22 q^{91} - 20 q^{92} - 6 q^{93} - 6 q^{94} - 7 q^{95} + 2 q^{96} + 71 q^{97} - 28 q^{98} + 59 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9 + 3 * q^10 + 5 * q^11 + 5 * q^12 + 22 * q^13 - 8 * q^14 - 2 * q^15 - 3 * q^16 + q^17 + 13 * q^18 - 7 * q^19 - 3 * q^20 + 10 * q^21 - 5 * q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 22 * q^26 + 20 * q^27 + q^28 - 6 * q^29 + 2 * q^30 - 5 * q^31 + 3 * q^32 + 39 * q^33 - q^34 - 13 * q^35 + 8 * q^36 - 18 * q^37 - 7 * q^39 + 3 * q^40 + 16 * q^41 + 4 * q^42 - 13 * q^43 - 2 * q^44 - 13 * q^45 - 8 * q^46 - 36 * q^47 - 2 * q^48 - 14 * q^49 - 18 * q^50 - 30 * q^51 - 20 * q^52 - 18 * q^53 + 29 * q^54 + 5 * q^55 + 13 * q^56 + 29 * q^57 - 8 * q^58 - 4 * q^59 - 2 * q^60 + 42 * q^61 - 2 * q^62 - 29 * q^63 - 3 * q^64 + 8 * q^65 + 24 * q^66 - 19 * q^67 + q^68 - 51 * q^69 + 13 * q^70 - 27 * q^71 + 13 * q^72 + 28 * q^73 + 4 * q^74 - 2 * q^75 + 42 * q^77 - 35 * q^78 - 26 * q^79 + 18 * q^80 - 4 * q^81 + 19 * q^82 + 62 * q^83 + 10 * q^84 - 6 * q^85 - 15 * q^86 - 66 * q^87 - 5 * q^88 - 12 * q^89 + 6 * q^90 - 22 * q^91 - 20 * q^92 - 6 * q^93 - 6 * q^94 - 7 * q^95 + 2 * q^96 + 71 * q^97 - 28 * q^98 + 59 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{4}{7}\right)$

Coefficient data

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

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

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

$2$	0.222521	+	0.974928i	0.157346	+	0.689378i
$2$	0.222521	+	0.974928i	0.157346	+	0.689378i
$3$	0.168441	−	0.737990i	0.0972497	−	0.426079i	−0.902742	−	0.430183i	$-0.858449\pi$
$3$	0.168441	−	0.737990i	0.0972497	−	0.426079i	0.999992	+	0.00410386i	$0.00130630\pi$
$4$	−0.900969	+	0.433884i	−0.450484	+	0.216942i
$5$	0.623490	+	0.781831i	0.278833	+	0.349646i
$5$	0.623490	+	0.781831i	0.278833	+	0.349646i
$6$	0.756969			0.309031
$7$	−2.52891			−0.955840			−0.477920	−	0.878403i	$-0.658609\pi$
$7$	−2.52891			−0.955840			−0.477920	+	0.878403i	$0.658609\pi$
$8$	−0.623490	−	0.781831i	−0.220437	−	0.276419i
$9$	2.18665	+	1.05304i	0.728883	+	0.351012i
$10$	−0.623490	+	0.781831i	−0.197165	+	0.247237i
$11$	2.48795	+	1.19813i	0.750146	+	0.361251i	0.769572	−	0.638560i	$-0.220470\pi$
$11$	2.48795	+	1.19813i	0.750146	+	0.361251i	−0.0194261	+	0.999811i	$0.506184\pi$
$12$	0.168441	+	0.737990i	0.0486249	+	0.213039i
$13$	2.76552	+	3.46785i	0.767018	+	0.961810i	0.999943	−	0.0106849i	$-0.00340117\pi$
$13$	2.76552	+	3.46785i	0.767018	+	0.961810i	−0.232925	+	0.972495i	$0.574830\pi$
$14$	−0.562736	−	2.46551i	−0.150398	−	0.658935i
$15$	0.682005	−	0.328436i	0.176093	−	0.0848019i
$16$	0.623490	−	0.781831i	0.155872	−	0.195458i
$17$	−4.04501	+	5.07228i	−0.981059	+	1.23021i	−0.00792507	+	0.999969i	$0.502523\pi$
$17$	−4.04501	+	5.07228i	−0.981059	+	1.23021i	−0.973134	+	0.230240i	$0.926049\pi$
$18$	−0.540058	+	2.36615i	−0.127293	+	0.557706i
$19$	2.31484	−	1.11477i	0.531061	−	0.255745i	−0.149082	−	0.988825i	$-0.547632\pi$
$19$	2.31484	−	1.11477i	0.531061	−	0.255745i	0.680143	+	0.733080i	$0.261918\pi$
$20$	−0.900969	−	0.433884i	−0.201463	−	0.0970194i
$21$	−0.425974	+	1.86631i	−0.0929551	+	0.407263i
$22$	−0.614474	+	2.69218i	−0.131006	+	0.573976i
$23$	3.51100	+	1.69081i	0.732094	+	0.352558i	0.762507	−	0.646979i	$-0.223968\pi$
$23$	3.51100	+	1.69081i	0.732094	+	0.352558i	−0.0304132	+	0.999537i	$0.509682\pi$
$24$	−0.682005	+	0.328436i	−0.139214	+	0.0670418i
$25$	−0.222521	+	0.974928i	−0.0445042	+	0.194986i
$26$	−2.76552	+	3.46785i	−0.542363	+	0.680102i
$27$	2.56134	−	3.21182i	0.492930	−	0.618115i
$28$	2.27847	−	1.09725i	0.430591	−	0.207362i
$29$	−0.333913	−	1.46297i	−0.0620060	−	0.271666i	0.934416	−	0.356184i	$-0.115922\pi$
$29$	−0.333913	−	1.46297i	−0.0620060	−	0.271666i	−0.996422	+	0.0845175i	$0.973065\pi$
$30$	0.471962	+	0.591822i	0.0861681	+	0.108051i
$31$	−0.0509977	−	0.223436i	−0.00915946	−	0.0401302i	0.970142	−	0.242539i	$-0.0779802\pi$
$31$	−0.0509977	−	0.223436i	−0.00915946	−	0.0401302i	−0.979301	+	0.202409i	$0.935123\pi$
$32$	0.900969	+	0.433884i	0.159270	+	0.0767005i
$33$	1.30329	−	1.63427i	0.226873	−	0.284490i
$34$	−5.84521	−	2.81490i	−1.00244	−	0.482752i
$35$	−1.57675	−	1.97718i	−0.266520	−	0.334205i
$36$	−2.42700			−0.404500
$37$	−3.63716			−0.597945			−0.298973	−	0.954262i	$-0.596644\pi$
$37$	−3.63716			−0.597945			−0.298973	+	0.954262i	$0.596644\pi$
$38$	1.60192	+	2.00874i	0.259865	+	0.325861i
$39$	3.02507	−	1.45680i	0.484399	−	0.233274i
$40$	0.222521	−	0.974928i	0.0351836	−	0.154150i
$41$	0.584437	+	2.56058i	0.0912737	+	0.399896i	0.999841	−	0.0178428i	$-0.00567984\pi$
$41$	0.584437	+	2.56058i	0.0912737	+	0.399896i	−0.908567	+	0.417739i	$0.862823\pi$
$42$	−1.91431			−0.295384
$43$	1.12104	−	6.46090i	0.170957	−	0.985278i
$43$	1.12104	−	6.46090i	0.170957	−	0.985278i
$44$	−2.76142			−0.416300
$45$	0.540058	+	2.36615i	0.0805071	+	0.352725i
$46$	−0.867146	+	3.79921i	−0.127854	+	0.560163i
$47$	1.14403	−	0.550937i	0.166874	−	0.0803625i	−0.348582	−	0.937278i	$-0.613337\pi$
$47$	1.14403	−	0.550937i	0.166874	−	0.0803625i	0.515456	+	0.856916i	$0.327622\pi$
$48$	−0.471962	−	0.591822i	−0.0681219	−	0.0854222i
$49$	−0.604591			−0.0863702
$50$	−1.00000			−0.141421
$51$	3.06195	+	3.83956i	0.428758	+	0.537646i
$52$	−3.99629	−	1.92451i	−0.554186	−	0.266882i
$53$	−2.73449	+	3.42895i	−0.375612	+	0.471002i	−0.933326	−	0.359031i	$-0.883107\pi$
$53$	−2.73449	+	3.42895i	−0.375612	+	0.471002i	0.557714	+	0.830033i	$0.311679\pi$
$54$	3.70124	+	1.78242i	0.503675	+	0.242557i
$55$	0.614474	+	2.69218i	0.0828556	+	0.363014i
$56$	1.57675	+	1.97718i	0.210702	+	0.264212i
$57$	−0.432773	−	1.89610i	−0.0573222	−	0.251145i
$58$	1.35198	−	0.651082i	0.177524	−	0.0854912i
$59$	5.08124	−	6.37167i	0.661521	−	0.829521i	−0.331987	−	0.943284i	$-0.607719\pi$
$59$	5.08124	−	6.37167i	0.661521	−	0.829521i	0.993508	+	0.113763i	$0.0362905\pi$
$60$	−0.471962	+	0.591822i	−0.0609301	+	0.0764039i
$61$	1.87879	−	8.23153i	0.240555	−	1.05394i	−0.699959	−	0.714183i	$-0.746798\pi$
$61$	1.87879	−	8.23153i	0.240555	−	1.05394i	0.940514	−	0.339756i	$-0.110345\pi$
$62$	0.206486	−	0.0994382i	0.0262237	−	0.0126287i
$63$	−5.52985	−	2.66304i	−0.696696	−	0.335511i
$64$	−0.222521	+	0.974928i	−0.0278151	+	0.121866i
$65$	−0.987003	+	4.32434i	−0.122423	+	0.536369i
$66$	1.88330	+	0.906951i	0.231819	+	0.111638i
$67$	−7.71625	+	3.71595i	−0.942690	+	0.453975i	−0.841117	−	0.540853i	$-0.818102\pi$
$67$	−7.71625	+	3.71595i	−0.942690	+	0.453975i	−0.101572	+	0.994828i	$0.532387\pi$
$68$	1.44365	−	6.32503i	0.175068	−	0.767023i
$69$	1.83920	−	2.30628i	0.221413	−	0.277644i
$70$	1.57675	−	1.97718i	0.188458	−	0.236319i
$71$	−1.23330	+	0.593927i	−0.146366	+	0.0704862i	−0.505633	−	0.862749i	$-0.668741\pi$
$71$	−1.23330	+	0.593927i	−0.146366	+	0.0704862i	0.359267	+	0.933235i	$0.383027\pi$
$72$	−0.540058	−	2.36615i	−0.0636464	−	0.278853i
$73$	−5.20937	−	6.53234i	−0.609710	−	0.764553i	0.377146	−	0.926154i	$-0.376906\pi$
$73$	−5.20937	−	6.53234i	−0.609710	−	0.764553i	−0.986856	+	0.161601i	$0.948334\pi$
$74$	−0.809344	−	3.54597i	−0.0940843	−	0.412210i
$75$	0.682005	+	0.328436i	0.0787512	+	0.0379246i
$76$	−1.60192	+	2.00874i	−0.183753	+	0.230419i
$77$	−6.29182	−	3.02998i	−0.717019	−	0.345298i
$78$	2.09341	+	2.62506i	0.237032	+	0.297229i
$79$	−2.54336			−0.286150			−0.143075	−	0.989712i	$-0.545699\pi$
$79$	−2.54336			−0.286150			−0.143075	+	0.989712i	$0.545699\pi$
$80$	1.00000			0.111803
$81$	2.60077	+	3.26126i	0.288975	+	0.362363i
$82$	−2.36634	+	1.13957i	−0.261318	+	0.125844i
$83$	2.54791	−	11.1631i	0.279670	−	1.22531i	−0.618543	−	0.785751i	$-0.712277\pi$
$83$	2.54791	−	11.1631i	0.279670	−	1.22531i	0.898212	−	0.439562i	$-0.144866\pi$
$84$	−0.425974	−	1.86631i	−0.0464776	−	0.203632i
$85$	−6.48769			−0.703689
$86$	6.54837	−	0.344751i	0.706129	−	0.0371754i
$87$	−1.13590			−0.121781
$88$	−0.614474	−	2.69218i	−0.0655031	−	0.286988i
$89$	2.54127	−	11.1340i	0.269374	−	1.18020i	−0.641370	−	0.767232i	$-0.721634\pi$
$89$	2.54127	−	11.1340i	0.269374	−	1.18020i	0.910744	−	0.412972i	$-0.135509\pi$
$90$	−2.18665	+	1.05304i	−0.230493	+	0.111000i
$91$	−6.99377	−	8.76991i	−0.733146	−	0.919336i
$92$	−3.89692			−0.406282
$93$	−0.173483			−0.0179894
$94$	0.791696	+	0.992755i	0.0816572	+	0.102395i
$95$	2.31484	+	1.11477i	0.237497	+	0.114373i
$96$	0.471962	−	0.591822i	0.0481695	−	0.0604026i
$97$	7.50022	+	3.61192i	0.761532	+	0.366734i	0.773998	−	0.633188i	$-0.218254\pi$
$97$	7.50022	+	3.61192i	0.761532	+	0.366734i	−0.0124662	+	0.999922i	$0.503968\pi$
$98$	−0.134534	−	0.589433i	−0.0135900	−	0.0595417i
$99$	4.17860	+	5.23980i	0.419965	+	0.526620i
$100$	−0.222521	−	0.974928i	−0.0222521	−	0.0974928i
$101$	3.51504	−	1.69276i	0.349760	−	0.168435i	−0.250752	−	0.968051i	$-0.580678\pi$
$101$	3.51504	−	1.69276i	0.349760	−	0.168435i	0.600512	+	0.799616i	$0.294964\pi$
$102$	−3.06195	+	3.83956i	−0.303178	+	0.380173i
$103$	−6.38233	+	8.00319i	−0.628870	+	0.788578i	−0.989562	−	0.144107i	$-0.953969\pi$
$103$	−6.38233	+	8.00319i	−0.628870	+	0.788578i	0.360692	+	0.932685i	$0.382540\pi$
$104$	0.987003	−	4.32434i	0.0967836	−	0.424037i
$105$	−1.72473	+	0.830588i	−0.168317	+	0.0810571i
$106$	−3.95146	−	1.90292i	−0.383800	−	0.184828i
$107$	2.36451	−	10.3596i	0.228586	−	1.00150i	−0.722209	−	0.691675i	$-0.756873\pi$
$107$	2.36451	−	10.3596i	0.228586	−	1.00150i	0.950794	−	0.309823i	$-0.100270\pi$
$108$	−0.914131	+	4.00507i	−0.0879623	+	0.385388i
$109$	12.6764	+	6.10463i	1.21418	+	0.584718i	0.927685	−	0.373364i	$-0.121796\pi$
$109$	12.6764	+	6.10463i	1.21418	+	0.584718i	0.286494	+	0.958082i	$0.407510\pi$
$110$	−2.48795	+	1.19813i	−0.237217	+	0.114238i
$111$	−0.612648	+	2.68419i	−0.0581500	+	0.254772i
$112$	−1.57675	+	1.97718i	−0.148989	+	0.186826i
$113$	8.82409	−	11.0651i	0.830101	−	1.04091i	−0.168375	−	0.985723i	$-0.553852\pi$
$113$	8.82409	−	11.0651i	0.830101	−	1.04091i	0.998476	−	0.0551906i	$-0.0175767\pi$
$114$	1.75226	−	0.843845i	0.164114	−	0.0790333i
$115$	0.867146	+	3.79921i	0.0808617	+	0.354278i
$116$	0.935603	+	1.17321i	0.0868685	+	0.108930i
$117$	2.39546	+	10.4952i	0.221460	+	0.970279i
$118$	7.34260	+	3.53601i	0.675941	+	0.325516i
$119$	10.2295	−	12.8274i	0.937735	−	1.17588i
$120$	−0.682005	−	0.328436i	−0.0622583	−	0.0299820i
$121$	−2.10401	−	2.63834i	−0.191273	−	0.239849i
$122$	8.44322			0.764413
$123$	1.98813			0.179264
$124$	0.142892	+	0.179181i	0.0128321	+	0.0160910i
$125$	−0.900969	+	0.433884i	−0.0805851	+	0.0388077i
$126$	1.36576	−	5.98379i	0.121672	−	0.533078i
$127$	0.348149	+	1.52534i	0.0308932	+	0.135352i	0.988023	−	0.154308i	$-0.0493148\pi$
$127$	0.348149	+	1.52534i	0.0308932	+	0.135352i	−0.957130	+	0.289660i	$0.906458\pi$
$128$	−1.00000			−0.0883883
$129$	−4.57925	−	1.91560i	−0.403181	−	0.168659i
$130$	−4.43555			−0.389024
$131$	−2.20736	−	9.67108i	−0.192858	−	0.844966i	−0.975060	−	0.221941i	$-0.928761\pi$
$131$	−2.20736	−	9.67108i	−0.192858	−	0.844966i	0.782202	−	0.623025i	$-0.214096\pi$
$132$	−0.465137	+	2.03790i	−0.0404850	+	0.177376i
$133$	−5.85403	+	2.81915i	−0.507609	+	0.244452i
$134$	−5.33981	−	6.69591i	−0.461289	−	0.578438i
$135$	4.10807			0.353566
$136$	6.48769			0.556315
$137$	9.32057	+	11.6876i	0.796310	+	0.998541i	0.999811	+	0.0194664i	$0.00619674\pi$
$137$	9.32057	+	11.6876i	0.796310	+	0.998541i	−0.203500	+	0.979075i	$0.565232\pi$
$138$	2.65772	+	1.27989i	0.226240	+	0.108951i
$139$	−3.90579	+	4.89771i	−0.331285	+	0.415418i	−0.919378	−	0.393375i	$-0.871307\pi$
$139$	−3.90579	+	4.89771i	−0.331285	+	0.415418i	0.588093	+	0.808793i	$0.299879\pi$
$140$	2.27847	+	1.09725i	0.192566	+	0.0927350i
$141$	−0.213884	−	0.937086i	−0.0180123	−	0.0789169i
$142$	−0.853472	−	1.07022i	−0.0716218	−	0.0898108i
$143$	2.72553	+	11.9413i	0.227920	+	0.998584i
$144$	2.18665	−	1.05304i	0.182221	−	0.0877529i
$145$	0.935603	−	1.17321i	0.0776976	−	0.0974297i
$146$	5.20937	−	6.53234i	0.431130	−	0.540620i
$147$	−0.101838	+	0.446182i	−0.00839948	+	0.0368005i
$148$	3.27697	−	1.57810i	0.269365	−	0.129719i
$149$	1.18868	+	0.572438i	0.0973805	+	0.0468960i	0.481940	−	0.876204i	$-0.339932\pi$
$149$	1.18868	+	0.572438i	0.0973805	+	0.0468960i	−0.384559	+	0.923100i	$0.625647\pi$
$150$	−0.168441	+	0.737990i	−0.0137532	+	0.0602566i
$151$	0.648695	−	2.84212i	0.0527901	−	0.231288i	−0.941650	−	0.336594i	$-0.890725\pi$
$151$	0.648695	−	2.84212i	0.0527901	−	0.231288i	0.994440	+	0.105306i	$0.0335821\pi$
$152$	−2.31484	−	1.11477i	−0.187758	−	0.0904196i
$153$	−14.1863	+	6.83177i	−1.14690	+	0.552316i
$154$	1.55395	−	6.80830i	0.125221	−	0.548629i
$155$	0.142892	−	0.179181i	0.0114774	−	0.0143922i
$156$	−2.09341	+	2.62506i	−0.167607	+	0.210173i
$157$	−17.8323	+	8.58758i	−1.42317	+	0.685364i	−0.977714	−	0.209939i	$-0.932673\pi$
$157$	−17.8323	+	8.58758i	−1.42317	+	0.685364i	−0.445458	+	0.895303i	$0.646959\pi$
$158$	−0.565951	−	2.47959i	−0.0450246	−	0.197266i
$159$	2.06993	+	2.59561i	0.164156	+	0.205845i
$160$	0.222521	+	0.974928i	0.0175918	+	0.0770748i
$161$	−8.87902	−	4.27591i	−0.699765	−	0.336989i
$162$	−2.60077	+	3.26126i	−0.204336	+	0.256229i
$163$	8.08085	+	3.89153i	0.632941	+	0.304808i	0.722707	−	0.691154i	$-0.242898\pi$
$163$	8.08085	+	3.89153i	0.632941	+	0.304808i	−0.0897658	+	0.995963i	$0.528612\pi$
$164$	−1.63756	−	2.05343i	−0.127872	−	0.160346i
$165$	2.09031			0.162730
$166$	11.4502			0.888709
$167$	−10.5753	−	13.2610i	−0.818344	−	1.02617i	−0.999090	−	0.0426411i	$-0.986423\pi$
$167$	−10.5753	−	13.2610i	−0.818344	−	1.02617i	0.180747	−	0.983530i	$-0.442149\pi$
$168$	1.72473	−	0.830588i	0.133066	−	0.0640812i
$169$	−1.48513	+	6.50679i	−0.114241	+	0.500522i
$170$	−1.44365	−	6.32503i	−0.110723	−	0.485108i
$171$	6.23563			0.476851
$172$	1.79326	+	6.30747i	0.136735	+	0.480940i
$173$	−25.3606			−1.92813			−0.964066	−	0.265663i	$-0.914409\pi$
$173$	−25.3606			−1.92813			−0.964066	+	0.265663i	$0.914409\pi$
$174$	−0.252762	−	1.10742i	−0.0191618	−	0.0839533i
$175$	0.562736	−	2.46551i	0.0425389	−	0.186375i
$176$	2.48795	−	1.19813i	0.187536	−	0.0903128i
$177$	−3.84634	−	4.82315i	−0.289108	−	0.362531i
$178$	11.4204			0.855992
$179$	23.1953			1.73370			0.866848	−	0.498572i	$-0.166142\pi$
$179$	23.1953			1.73370			0.866848	+	0.498572i	$0.166142\pi$
$180$	−1.51321	−	1.89750i	−0.112788	−	0.141432i
$181$	−0.910751	−	0.438594i	−0.0676956	−	0.0326005i	0.399730	−	0.916633i	$-0.369104\pi$
$181$	−0.910751	−	0.438594i	−0.0676956	−	0.0326005i	−0.467425	+	0.884033i	$0.654818\pi$
$182$	6.99377	−	8.76991i	0.518413	−	0.650069i
$183$	−5.75832	−	2.77306i	−0.425667	−	0.204991i
$184$	−0.867146	−	3.79921i	−0.0639268	−	0.280082i
$185$	−2.26773	−	2.84364i	−0.166727	−	0.209069i
$186$	−0.0386037	−	0.169134i	−0.00283056	−	0.0124015i
$187$	−16.1411	+	7.77313i	−1.18035	+	0.568427i
$188$	−0.791696	+	0.992755i	−0.0577403	+	0.0724041i
$189$	−6.47741	+	8.12241i	−0.471162	+	0.590819i
$190$	−0.571718	+	2.50486i	−0.0414768	+	0.181722i
$191$	6.26476	−	3.01695i	0.453302	−	0.218299i	−0.193279	−	0.981144i	$-0.561912\pi$
$191$	6.26476	−	3.01695i	0.453302	−	0.218299i	0.646581	+	0.762845i	$0.276198\pi$
$192$	0.682005	+	0.328436i	0.0492195	+	0.0237029i
$193$	4.24287	−	18.5892i	0.305409	−	1.33808i	−0.556427	−	0.830896i	$-0.687828\pi$
$193$	4.24287	−	18.5892i	0.305409	−	1.33808i	0.861836	−	0.507187i	$-0.169315\pi$
$194$	−1.85240	+	8.11590i	−0.132995	+	0.582688i
$195$	3.02507	+	1.45680i	0.216630	+	0.104323i
$196$	0.544718	−	0.262322i	0.0389084	−	0.0187373i
$197$	−5.31921	+	23.3050i	−0.378978	+	1.66041i	0.321631	+	0.946865i	$0.395769\pi$
$197$	−5.31921	+	23.3050i	−0.378978	+	1.66041i	−0.700609	+	0.713545i	$0.747088\pi$
$198$	−4.17860	+	5.23980i	−0.296960	+	0.372377i
$199$	−8.29400	+	10.4003i	−0.587946	+	0.737261i	−0.983445	−	0.181205i	$-0.942000\pi$
$199$	−8.29400	+	10.4003i	−0.587946	+	0.737261i	0.395499	+	0.918466i	$0.370572\pi$
$200$	0.900969	−	0.433884i	0.0637081	−	0.0306802i
$201$	1.44260	+	6.32043i	0.101753	+	0.445809i
$202$	2.43249	+	3.05024i	0.171149	+	0.214614i
$203$	0.844437	+	3.69972i	0.0592678	+	0.259669i
$204$	−4.42464	−	2.13079i	−0.309787	−	0.149185i
$205$	−1.63756	+	2.05343i	−0.114372	+	0.143418i
$206$	−9.22274	−	4.44144i	−0.642578	−	0.309449i
$207$	5.89685	+	7.39441i	0.409859	+	0.513947i
$208$	4.43555			0.307550
$209$	7.09485			0.490761
$210$	−1.19355	−	1.49667i	−0.0823629	−	0.103280i
$211$	−17.4025	+	8.38060i	−1.19804	+	0.576945i	−0.923116	−	0.384522i	$-0.874366\pi$
$211$	−17.4025	+	8.38060i	−1.19804	+	0.576945i	−0.274922	+	0.961467i	$0.588652\pi$
$212$	0.975930	−	4.27583i	0.0670271	−	0.293665i
$213$	0.230573	+	1.01021i	0.0157986	+	0.0692182i
$214$	10.6260			0.726378
$215$	5.75030	−	3.15184i	0.392167	−	0.214954i
$216$	−4.10807			−0.279519
$217$	0.128969	+	0.565050i	0.00875498	+	0.0383581i
$218$	−3.13081	+	13.7170i	−0.212045	+	0.929031i
$219$	−5.69828	+	2.74414i	−0.385054	+	0.185432i
$220$	−1.72172	−	2.15896i	−0.116078	−	0.145557i
$221$	−28.7765			−1.93572
$222$	−2.75322			−0.184784
$223$	−10.8798	−	13.6428i	−0.728563	−	0.913590i	0.270225	−	0.962797i	$-0.412902\pi$
$223$	−10.8798	−	13.6428i	−0.728563	−	0.913590i	−0.998789	+	0.0492075i	$0.984330\pi$
$224$	−2.27847	−	1.09725i	−0.152237	−	0.0733134i
$225$	−1.51321	+	1.89750i	−0.100881	+	0.126500i
$226$	12.7512	+	6.14065i	0.848196	+	0.408470i
$227$	3.45971	+	15.1580i	0.229629	+	1.00607i	0.949943	+	0.312423i	$0.101141\pi$
$227$	3.45971	+	15.1580i	0.229629	+	1.00607i	−0.720314	+	0.693648i	$0.756002\pi$
$228$	1.21260	+	1.52056i	0.0803066	+	0.100701i
$229$	5.02621	+	22.0213i	0.332141	+	1.45521i	0.814976	+	0.579495i	$0.196750\pi$
$229$	5.02621	+	22.0213i	0.332141	+	1.45521i	−0.482834	+	0.875712i	$0.660393\pi$
$230$	−3.51100	+	1.69081i	−0.231509	+	0.111489i
$231$	−3.29590	+	4.13293i	−0.216854	+	0.271927i
$232$	−0.935603	+	1.17321i	−0.0614253	+	0.0770249i
$233$	1.07652	−	4.71655i	0.0705252	−	0.308991i	−0.927346	−	0.374205i	$-0.877916\pi$
$233$	1.07652	−	4.71655i	0.0705252	−	0.308991i	0.997871	+	0.0652136i	$0.0207729\pi$
$234$	−9.69900	+	4.67079i	−0.634043	+	0.305339i
$235$	1.14403	+	0.550937i	0.0746285	+	0.0359392i
$236$	−1.81347	+	7.94534i	−0.118047	+	0.517198i
$237$	−0.428407	+	1.87697i	−0.0278280	+	0.121923i
$238$	14.7820	+	7.11865i	0.958177	+	0.461434i
$239$	−3.05318	+	1.47033i	−0.197494	+	0.0951079i	−0.530017	−	0.847987i	$-0.677814\pi$
$239$	−3.05318	+	1.47033i	−0.197494	+	0.0951079i	0.332523	+	0.943095i	$0.392100\pi$
$240$	0.168441	−	0.737990i	0.0108728	−	0.0476371i
$241$	−14.3549	+	18.0004i	−0.924678	+	1.15951i	0.0622036	+	0.998063i	$0.480187\pi$
$241$	−14.3549	+	18.0004i	−0.924678	+	1.15951i	−0.986882	+	0.161446i	$0.948384\pi$
$242$	2.10401	−	2.63834i	0.135251	−	0.169599i
$243$	13.9486	−	6.71728i	0.894802	−	0.430914i
$244$	1.87879	+	8.23153i	0.120277	+	0.526970i
$245$	−0.376957	−	0.472689i	−0.0240829	−	0.0301990i
$246$	0.442400	+	1.93828i	0.0282064	+	0.123580i
$247$	10.2676	+	4.94461i	0.653311	+	0.314618i
$248$	−0.142892	+	0.179181i	−0.00907368	+	0.0113780i
$249$	−7.80911	−	3.76067i	−0.494882	−	0.238323i
$250$	−0.623490	−	0.781831i	−0.0394330	−	0.0494474i
$251$	26.6925			1.68482			0.842408	−	0.538840i	$-0.181137\pi$
$251$	26.6925			1.68482			0.842408	+	0.538840i	$0.181137\pi$
$252$	6.13767			0.386637
$253$	6.70939	+	8.41330i	0.421816	+	0.528940i
$254$	−1.40963	+	0.678840i	−0.0884478	+	0.0425942i
$255$	−1.09280	+	4.78785i	−0.0684335	+	0.299827i
$256$	−0.222521	−	0.974928i	−0.0139076	−	0.0609330i
$257$	17.5217			1.09297			0.546486	−	0.837468i	$-0.315965\pi$
$257$	17.5217			1.09297			0.546486	+	0.837468i	$0.315965\pi$
$258$	0.848594	−	4.89070i	0.0528312	−	0.304482i
$259$	9.19806			0.571540
$260$	−0.987003	−	4.32434i	−0.0612113	−	0.268184i
$261$	0.810405	−	3.55062i	0.0501628	−	0.219778i
$262$	8.93742	−	4.30403i	0.552156	−	0.265904i
$263$	0.380897	+	0.477629i	0.0234871	+	0.0294519i	0.793436	−	0.608653i	$-0.208290\pi$
$263$	0.380897	+	0.477629i	0.0234871	+	0.0294519i	−0.769949	+	0.638105i	$0.779719\pi$
$264$	−2.09031			−0.128650
$265$	−4.38579			−0.269417
$266$	−4.05111	−	5.07994i	−0.248390	−	0.311471i
$267$	−7.78874	−	3.75086i	−0.476663	−	0.229549i
$268$	5.33981	−	6.69591i	0.326181	−	0.409018i
$269$	15.8841	+	7.64940i	0.968473	+	0.466392i	0.850125	−	0.526580i	$-0.176526\pi$
$269$	15.8841	+	7.64940i	0.968473	+	0.466392i	0.118347	+	0.992972i	$0.462240\pi$
$270$	0.914131	+	4.00507i	0.0556323	+	0.243741i
$271$	−14.4861	−	18.1650i	−0.879967	−	1.10344i	−0.993936	−	0.109960i	$-0.964928\pi$
$271$	−14.4861	−	18.1650i	−0.879967	−	1.10344i	0.113969	−	0.993484i	$-0.463644\pi$
$272$	1.44365	+	6.32503i	0.0875340	+	0.383511i
$273$	−7.65015	+	3.68412i	−0.463008	+	0.222973i
$274$	−9.32057	+	11.6876i	−0.563076	+	0.706075i
$275$	−1.72172	+	2.15896i	−0.103823	+	0.130190i
$276$	−0.656402	+	2.87589i	−0.0395108	+	0.173108i
$277$	8.60073	−	4.14189i	0.516767	−	0.248862i	−0.157275	−	0.987555i	$-0.550271\pi$
$277$	8.60073	−	4.14189i	0.516767	−	0.248862i	0.674042	+	0.738693i	$0.264557\pi$
$278$	−5.64403	−	2.71802i	−0.338506	−	0.163016i
$279$	0.123771	−	0.542278i	0.00741000	−	0.0324653i
$280$	−0.562736	+	2.46551i	−0.0336299	+	0.147342i
$281$	−11.9171	−	5.73900i	−0.710917	−	0.342360i	0.0432298	−	0.999065i	$-0.486235\pi$
$281$	−11.9171	−	5.73900i	−0.710917	−	0.342360i	−0.754147	+	0.656705i	$0.771950\pi$
$282$	0.865998	−	0.417043i	0.0515694	−	0.0248345i
$283$	3.84157	−	16.8310i	0.228357	−	1.00050i	−0.722622	−	0.691244i	$-0.757063\pi$
$283$	3.84157	−	16.8310i	0.228357	−	1.00050i	0.950979	−	0.309255i	$-0.100080\pi$
$284$	0.853472	−	1.07022i	0.0506442	−	0.0635059i
$285$	1.21260	−	1.52056i	0.0718284	−	0.0900699i
$286$	−11.0354	+	5.31439i	−0.652539	+	0.314246i
$287$	−1.47799	−	6.47550i	−0.0872430	−	0.382237i
$288$	1.51321	+	1.89750i	0.0891667	+	0.111811i
$289$	−5.58308	−	24.4611i	−0.328417	−	1.43889i
$290$	1.35198	+	0.651082i	0.0793913	+	0.0382328i
$291$	3.92891	−	4.92669i	0.230317	−	0.288808i
$292$	7.52775	+	3.62518i	0.440528	+	0.212147i
$293$	0.479047	+	0.600706i	0.0279862	+	0.0350936i	0.795628	−	0.605786i	$-0.207141\pi$
$293$	0.479047	+	0.600706i	0.0279862	+	0.0350936i	−0.767641	+	0.640880i	$0.778570\pi$
$294$	−0.457657			−0.0266911
$295$	8.14967			0.474492
$296$	2.26773	+	2.84364i	0.131809	+	0.165283i
$297$	10.2207	−	4.92202i	0.593064	−	0.285605i
$298$	−0.293580	+	1.28626i	−0.0170066	+	0.0745109i
$299$	3.84627	+	16.8516i	0.222436	+	0.974554i
$300$	−0.756969			−0.0437036
$301$	−2.83502	+	16.3391i	−0.163408	+	0.941768i
$302$	2.91521			0.167751
$303$	−0.657158	−	2.87920i	−0.0377527	−	0.165406i
$304$	0.571718	−	2.50486i	0.0327903	−	0.143664i
$305$	7.60708	−	3.66338i	0.435580	−	0.209764i
$306$	−9.81723	−	12.3104i	−0.561214	−	0.703740i
$307$	−26.0666			−1.48770			−0.743850	−	0.668347i	$-0.767002\pi$
$307$	−26.0666			−1.48770			−0.743850	+	0.668347i	$0.767002\pi$
$308$	6.98339			0.397916
$309$	4.83123	+	6.05817i	0.274839	+	0.344637i
$310$	0.206486	+	0.0994382i	0.0117276	+	0.00564771i
$311$	17.0030	−	21.3211i	0.964151	−	1.20901i	−0.0137426	−	0.999906i	$-0.504375\pi$
$311$	17.0030	−	21.3211i	0.964151	−	1.20901i	0.977894	−	0.209102i	$-0.0670540\pi$
$312$	−3.02507	−	1.45680i	−0.171261	−	0.0824749i
$313$	1.53323	+	6.71752i	0.0866632	+	0.379697i	0.999596	−	0.0284129i	$-0.00904533\pi$
$313$	1.53323	+	6.71752i	0.0866632	+	0.379697i	−0.912933	+	0.408109i	$0.866188\pi$
$314$	−12.3403	−	15.4743i	−0.696405	−	0.873264i
$315$	−1.36576	−	5.98379i	−0.0769519	−	0.337148i
$316$	2.29149	−	1.10352i	0.128906	−	0.0620780i
$317$	19.6393	−	24.6268i	1.10305	−	1.38318i	0.186885	−	0.982382i	$-0.440161\pi$
$317$	19.6393	−	24.6268i	1.10305	−	1.38318i	0.916166	−	0.400800i	$-0.131268\pi$
$318$	−2.06993	+	2.59561i	−0.116076	+	0.145554i
$319$	0.922073	−	4.03987i	0.0516262	−	0.226189i
$320$	−0.900969	+	0.433884i	−0.0503657	+	0.0242548i
$321$	−7.24699	−	3.48997i	−0.404487	−	0.194791i
$322$	2.19294	−	9.60788i	0.122208	−	0.535426i
$323$	−3.70913	+	16.2508i	−0.206382	+	0.904217i
$324$	−3.75822	−	1.80987i	−0.208790	−	0.100548i
$325$	−3.99629	+	1.92451i	−0.221675	+	0.106753i
$326$	−1.99581	+	8.74420i	−0.110537	+	0.484296i
$327$	6.64039	−	8.32678i	0.367214	−	0.460472i
$328$	1.63756	−	2.05343i	0.0904189	−	0.113382i
$329$	−2.89316	+	1.39327i	−0.159505	+	0.0768137i
$330$	0.465137	+	2.03790i	0.0256050	+	0.112183i
$331$	18.5001	+	23.1984i	1.01686	+	1.27510i	0.960968	+	0.276661i	$0.0892279\pi$
$331$	18.5001	+	23.1984i	1.01686	+	1.27510i	0.0558892	+	0.998437i	$0.482201\pi$
$332$	2.54791	+	11.1631i	0.139835	+	0.612656i
$333$	−7.95319	−	3.83005i	−0.435832	−	0.209886i
$334$	10.5753	−	13.2610i	0.578657	−	0.725612i
$335$	−7.71625	−	3.71595i	−0.421584	−	0.203024i
$336$	1.19355	+	1.49667i	0.0651136	+	0.0816499i
$337$	10.2551			0.558632			0.279316	−	0.960199i	$-0.409892\pi$
$337$	10.2551			0.558632			0.279316	+	0.960199i	$0.409892\pi$
$338$	−6.67412			−0.363025
$339$	−6.67956	−	8.37591i	−0.362784	−	0.454917i
$340$	5.84521	−	2.81490i	0.317001	−	0.152660i
$341$	0.140826	−	0.616999i	0.00762616	−	0.0334124i
$342$	1.38756	+	6.07929i	0.0750306	+	0.328730i
$343$	19.2314			1.03840
$344$	−5.75030	+	3.15184i	−0.310035	+	0.169936i
$345$	2.94984			0.158814
$346$	−5.64327	−	24.7248i	−0.303384	−	1.32921i
$347$	4.22112	−	18.4939i	0.226601	−	0.992805i	−0.725787	−	0.687919i	$-0.758524\pi$
$347$	4.22112	−	18.4939i	0.226601	−	0.992805i	0.952389	−	0.304886i	$-0.0986185\pi$
$348$	1.02341	−	0.492849i	0.0548606	−	0.0264195i
$349$	−8.30322	−	10.4119i	−0.444461	−	0.557337i	0.508252	−	0.861209i	$-0.330292\pi$
$349$	−8.30322	−	10.4119i	−0.444461	−	0.557337i	−0.952713	+	0.303872i	$0.901721\pi$
$350$	2.52891			0.135176
$351$	18.2216			0.972595
$352$	1.72172	+	2.15896i	0.0917678	+	0.115073i
$353$	22.3008	+	10.7395i	1.18695	+	0.571606i	0.919929	−	0.392084i	$-0.128246\pi$
$353$	22.3008	+	10.7395i	1.18695	+	0.571606i	0.267023	+	0.963690i	$0.413960\pi$
$354$	3.84634	−	4.82315i	0.204431	−	0.256348i
$355$	−1.23330	−	0.593927i	−0.0654569	−	0.0315224i
$356$	2.54127	+	11.1340i	0.134687	+	0.590102i
$357$	−7.74340	−	9.70992i	−0.409824	−	0.513903i
$358$	5.16143	+	22.6137i	0.272790	+	1.19517i
$359$	−6.32866	+	3.04772i	−0.334014	+	0.160853i	−0.593371	−	0.804929i	$-0.702203\pi$
$359$	−6.32866	+	3.04772i	−0.334014	+	0.160853i	0.259358	+	0.965781i	$0.416489\pi$
$360$	1.51321	−	1.89750i	0.0797531	−	0.100007i
$361$	−7.73053	+	9.69378i	−0.406870	+	0.510199i
$362$	0.224937	−	0.985513i	0.0118224	−	0.0517974i
$363$	−2.30147	+	1.10833i	−0.120796	+	0.0581722i
$364$	10.1063	+	4.86693i	0.529713	+	0.255097i
$365$	1.85920	−	8.14569i	0.0973151	−	0.426365i
$366$	1.42219	−	6.23101i	0.0743390	−	0.325700i
$367$	−8.43524	−	4.06220i	−0.440316	−	0.212045i	0.200573	−	0.979679i	$-0.435720\pi$
$367$	−8.43524	−	4.06220i	−0.440316	−	0.212045i	−0.640889	+	0.767634i	$0.721434\pi$
$368$	3.51100	−	1.69081i	0.183024	−	0.0881395i
$369$	−1.41843	+	6.21453i	−0.0738403	+	0.323516i
$370$	2.26773	−	2.84364i	0.117894	−	0.147834i
$371$	6.91530	−	8.67152i	0.359025	−	0.450203i
$372$	0.156303	−	0.0752716i	0.00810394	−	0.00390265i
$373$	4.02635	+	17.6406i	0.208476	+	0.913394i	0.965581	+	0.260101i	$0.0837559\pi$
$373$	4.02635	+	17.6406i	0.208476	+	0.913394i	−0.757105	+	0.653293i	$0.773387\pi$
$374$	−11.1700	−	14.0067i	−0.577585	−	0.724269i
$375$	0.168441	+	0.737990i	0.00869828	+	0.0381096i
$376$	−1.14403	−	0.550937i	−0.0589990	−	0.0284124i
$377$	4.14991	−	5.20383i	0.213731	−	0.268011i
$378$	−9.36012	−	4.50760i	−0.481433	−	0.231846i
$379$	1.69418	+	2.12444i	0.0870243	+	0.109125i	0.823437	−	0.567407i	$-0.192053\pi$
$379$	1.69418	+	2.12444i	0.0870243	+	0.109125i	−0.736413	+	0.676532i	$0.763482\pi$
$380$	−2.56928			−0.131801
$381$	1.18433			0.0606750
$382$	4.33535	+	5.43636i	0.221816	+	0.278148i
$383$	−31.7956	+	15.3120i	−1.62468	+	0.782404i	−0.624680	+	0.780881i	$0.714771\pi$
$383$	−31.7956	+	15.3120i	−1.62468	+	0.782404i	−0.999999	+	0.00152355i	$0.999515\pi$
$384$	−0.168441	+	0.737990i	−0.00859574	+	0.0376604i
$385$	−1.55395	−	6.80830i	−0.0791967	−	0.346983i
$386$	19.0673			0.970500
$387$	9.25488	−	12.9472i	0.470452	−	0.658145i
$388$	−8.32462			−0.422618
$389$	0.0777861	+	0.340803i	0.00394391	+	0.0172794i	0.976862	−	0.213872i	$-0.0686077\pi$
$389$	0.0777861	+	0.340803i	0.00394391	+	0.0172794i	−0.972918	+	0.231152i	$0.925751\pi$
$390$	−0.747131	+	3.27339i	−0.0378324	+	0.165755i
$391$	−22.7783	+	10.9694i	−1.15195	+	0.554749i
$392$	0.376957	+	0.472689i	0.0190392	+	0.0238744i
$393$	−7.50897			−0.378777
$394$	−23.9043			−1.20428
$395$	−1.58576	−	1.98848i	−0.0797882	−	0.100051i
$396$	−6.03826	−	2.90787i	−0.303434	−	0.146126i
$397$	12.4845	−	15.6551i	0.626579	−	0.785706i	−0.362674	−	0.931916i	$-0.618136\pi$
$397$	12.4845	−	15.6551i	0.626579	−	0.785706i	0.989254	+	0.146210i	$0.0467076\pi$
$398$	−11.9852	−	5.77176i	−0.600763	−	0.289312i
$399$	1.09445	+	4.79508i	0.0547908	+	0.240054i
$400$	0.623490	+	0.781831i	0.0311745	+	0.0390916i
$401$	−5.34666	−	23.4253i	−0.267000	−	1.16980i	−0.913484	−	0.406875i	$-0.866619\pi$
$401$	−5.34666	−	23.4253i	−0.267000	−	1.16980i	0.646484	−	0.762927i	$-0.276239\pi$
$402$	−5.84096	+	2.81286i	−0.291321	+	0.140293i
$403$	0.633807	−	0.794769i	0.0315722	−	0.0395902i
$404$	−2.43249	+	3.05024i	−0.121021	+	0.151755i
$405$	−0.928205	+	4.06673i	−0.0461229	+	0.202077i
$406$	−3.41905	+	1.64653i	−0.169685	+	0.0817159i
$407$	−9.04908	−	4.35781i	−0.448546	−	0.216008i
$408$	1.09280	−	4.78785i	0.0541015	−	0.237034i
$409$	−7.86672	+	34.4664i	−0.388984	+	1.70425i	0.279180	+	0.960239i	$0.409937\pi$
$409$	−7.86672	+	34.4664i	−0.388984	+	1.70425i	−0.668165	+	0.744013i	$0.732920\pi$
$410$	−2.36634	−	1.13957i	−0.116865	−	0.0562792i
$411$	10.1953	−	4.90981i	0.502898	−	0.242183i
$412$	2.27783	−	9.97981i	0.112221	−	0.491670i
$413$	−12.8500	+	16.1134i	−0.632308	+	0.792889i
$414$	−5.89685	+	7.39441i	−0.289814	+	0.363416i
$415$	10.3163	−	4.96806i	0.506406	−	0.243872i
$416$	0.987003	+	4.32434i	0.0483918	+	0.212018i
$417$	2.95656	+	3.70741i	0.144783	+	0.181553i
$418$	1.57875	+	6.91697i	0.0772193	+	0.338320i
$419$	−36.7041	−	17.6758i	−1.79311	−	0.863517i	−0.939447	−	0.342695i	$-0.888660\pi$
$419$	−36.7041	−	17.6758i	−1.79311	−	0.863517i	−0.853665	−	0.520822i	$-0.825626\pi$
$420$	1.19355	−	1.49667i	0.0582394	−	0.0730299i
$421$	1.24938	+	0.601667i	0.0608908	+	0.0293235i	0.464081	−	0.885793i	$-0.346385\pi$
$421$	1.24938	+	0.601667i	0.0608908	+	0.0293235i	−0.403191	+	0.915116i	$0.632099\pi$
$422$	−12.0429	−	15.1013i	−0.586240	−	0.735121i
$423$	3.08176			0.149840
$424$	4.38579			0.212993
$425$	−4.04501	−	5.07228i	−0.196212	−	0.246042i
$426$	−0.933572	+	0.449584i	−0.0452317	+	0.0217824i
$427$	−4.75131	+	20.8168i	−0.229932	+	1.00740i
$428$	2.36451	+	10.3596i	0.114293	+	0.500749i
$429$	9.27167			0.447641
$430$	4.35238	+	4.90477i	0.209890	+	0.236529i
$431$	27.9003			1.34391			0.671955	−	0.740592i	$-0.265455\pi$
$431$	27.9003			1.34391			0.671955	+	0.740592i	$0.265455\pi$
$432$	−0.914131	−	4.00507i	−0.0439812	−	0.192694i
$433$	8.10774	−	35.5223i	0.389633	−	1.70709i	−0.276291	−	0.961074i	$-0.589105\pi$
$433$	8.10774	−	35.5223i	0.389633	−	1.70709i	0.665924	−	0.746019i	$-0.268037\pi$
$434$	−0.522184	+	0.251471i	−0.0250656	+	0.0120710i
$435$	−0.708222	−	0.888082i	−0.0339566	−	0.0425803i
$436$	−14.0697			−0.673818
$437$	10.0123			0.478951
$438$	−3.94333	−	4.94478i	−0.188420	−	0.236271i
$439$	−15.2183	−	7.32873i	−0.726328	−	0.349781i	0.0339106	−	0.999425i	$-0.489204\pi$
$439$	−15.2183	−	7.32873i	−0.726328	−	0.349781i	−0.760239	+	0.649644i	$0.774918\pi$
$440$	1.72172	−	2.15896i	0.0820796	−	0.102925i
$441$	−1.32203	−	0.636656i	−0.0629538	−	0.0303169i
$442$	−6.40337	−	28.0550i	−0.304577	−	1.33444i
$443$	−5.48028	−	6.87205i	−0.260376	−	0.326501i	0.634410	−	0.772997i	$-0.281243\pi$
$443$	−5.48028	−	6.87205i	−0.260376	−	0.326501i	−0.894786	+	0.446496i	$0.852672\pi$
$444$	−0.612648	−	2.68419i	−0.0290750	−	0.127386i
$445$	10.2894	−	4.95511i	0.487764	−	0.234895i
$446$	10.8798	−	13.6428i	0.515172	−	0.646005i
$447$	0.622677	−	0.780812i	0.0294516	−	0.0369312i
$448$	0.562736	−	2.46551i	0.0265868	−	0.116484i
$449$	8.36274	−	4.02728i	0.394662	−	0.190059i	−0.226018	−	0.974123i	$-0.572571\pi$
$449$	8.36274	−	4.02728i	0.394662	−	0.190059i	0.620680	+	0.784064i	$0.286857\pi$
$450$	−2.18665	−	1.05304i	−0.103080	−	0.0496405i
$451$	−1.61387	+	7.07085i	−0.0759944	+	0.332953i
$452$	−3.14928	+	13.7979i	−0.148130	+	0.648999i
$453$	−1.98819	−	0.957461i	−0.0934132	−	0.0449854i
$454$	−14.0081	+	6.74594i	−0.657432	+	0.316603i
$455$	2.49605	−	10.9359i	0.117016	−	0.512683i
$456$	−1.21260	+	1.52056i	−0.0567853	+	0.0712065i
$457$	22.5416	−	28.2663i	1.05445	−	1.32224i	0.109876	−	0.993945i	$-0.464955\pi$
$457$	22.5416	−	28.2663i	1.05445	−	1.32224i	0.944575	−	0.328295i	$-0.106474\pi$
$458$	−20.3507	+	9.80039i	−0.950927	+	0.457942i
$459$	5.93060	+	25.9837i	0.276817	+	1.21281i
$460$	−2.42969	−	3.04673i	−0.113285	−	0.142055i
$461$	−5.72325	−	25.0752i	−0.266558	−	1.16787i	−0.913988	−	0.405742i	$-0.867013\pi$
$461$	−5.72325	−	25.0752i	−0.266558	−	1.16787i	0.647429	−	0.762126i	$-0.275844\pi$
$462$	−4.76271	−	2.29360i	−0.221581	−	0.106708i
$463$	20.2016	−	25.3320i	0.938850	−	1.17728i	−0.0451269	−	0.998981i	$-0.514369\pi$
$463$	20.2016	−	25.3320i	0.938850	−	1.17728i	0.983976	−	0.178299i	$-0.0570594\pi$
$464$	−1.35198	−	0.651082i	−0.0627643	−	0.0302257i
$465$	−0.108165	−	0.135635i	−0.00501604	−	0.00628991i
$466$	4.83784			0.224109
$467$	19.3103			0.893572			0.446786	−	0.894641i	$-0.352569\pi$
$467$	19.3103			0.893572			0.446786	+	0.894641i	$0.352569\pi$
$468$	−6.71192	−	8.41648i	−0.310258	−	0.389052i
$469$	19.5137	−	9.39732i	0.901060	−	0.433928i
$470$	−0.282553	+	1.23795i	−0.0130332	+	0.0571022i
$471$	3.33385	+	14.6066i	0.153616	+	0.673035i
$472$	−8.14967			−0.375119
$473$	10.5301	−	14.7313i	0.484176	−	0.677344i
$474$	−1.92524			−0.0884294
$475$	0.571718	+	2.50486i	0.0262322	+	0.114931i
$476$	−3.65086	+	15.9955i	−0.167337	+	0.733151i
$477$	−9.59018	+	4.61839i	−0.439104	+	0.211462i
$478$	−2.11286	−	2.64945i	−0.0966401	−	0.121183i
$479$	−29.1375			−1.33132			−0.665662	−	0.746253i	$-0.731851\pi$
$479$	−29.1375			−1.33132			−0.665662	+	0.746253i	$0.731851\pi$
$480$	0.756969			0.0345507
$481$	−10.0586	−	12.6131i	−0.458634	−	0.575109i
$482$	−20.7434	−	9.98948i	−0.944835	−	0.455009i
$483$	−4.65117	+	5.83239i	−0.211636	+	0.265383i
$484$	3.04038	+	1.46417i	0.138199	+	0.0665531i
$485$	1.85240	+	8.11590i	0.0841132	+	0.368524i
$486$	9.65272	+	12.1041i	0.437856	+	0.549054i
$487$	−5.08997	−	22.3006i	−0.230649	−	1.01054i	−0.949103	−	0.314964i	$-0.898007\pi$
$487$	−5.08997	−	22.3006i	−0.230649	−	1.01054i	0.718455	−	0.695574i	$-0.244850\pi$
$488$	−7.60708	+	3.66338i	−0.344356	+	0.165833i
$489$	4.23306	−	5.30809i	0.191426	−	0.240040i
$490$	0.376957	−	0.472689i	0.0170292	−	0.0213539i
$491$	−5.89231	+	25.8159i	−0.265916	+	1.16505i	0.648800	+	0.760959i	$0.275271\pi$
$491$	−5.89231	+	25.8159i	−0.265916	+	1.16505i	−0.914716	+	0.404096i	$0.867586\pi$
$492$	−1.79124	+	0.862617i	−0.0807554	+	0.0388898i
$493$	8.77126	+	4.22402i	0.395038	+	0.190240i
$494$	−2.53589	+	11.1104i	−0.114095	+	0.499882i
$495$	−1.49133	+	6.53393i	−0.0670301	+	0.293678i
$496$	−0.206486	−	0.0994382i	−0.00927147	−	0.00446491i
$497$	3.11892	−	1.50199i	0.139903	−	0.0673735i
$498$	1.92869	−	8.45014i	0.0864267	−	0.378660i
$499$	0.103475	−	0.129754i	0.00463220	−	0.00580859i	−0.779510	−	0.626390i	$-0.784532\pi$
$499$	0.103475	−	0.129754i	0.00463220	−	0.00580859i	0.784142	+	0.620581i	$0.213103\pi$
$500$	0.623490	−	0.781831i	0.0278833	−	0.0349646i
$501$	−11.5678	+	5.57078i	−0.516813	+	0.248884i
$502$	5.93964	+	26.0233i	0.265099	+	1.16148i
$503$	−0.916512	−	1.14927i	−0.0408652	−	0.0512434i	0.760979	−	0.648777i	$-0.224719\pi$
$503$	−0.916512	−	1.14927i	−0.0408652	−	0.0512434i	−0.801844	+	0.597533i	$0.796148\pi$
$504$	1.36576	+	5.98379i	0.0608358	+	0.266539i
$505$	3.51504	+	1.69276i	0.156417	+	0.0753266i
$506$	−6.70939	+	8.41330i	−0.298269	+	0.374017i
$507$	4.55179	+	2.19203i	0.202152	+	0.0973513i
$508$	−0.975492	−	1.22323i	−0.0432805	−	0.0542720i
$509$	−28.4606			−1.26150			−0.630748	−	0.775988i	$-0.717252\pi$
$509$	−28.4606			−1.26150			−0.630748	+	0.775988i	$0.717252\pi$
$510$	−4.91098			−0.217462
$511$	13.1740	+	16.5197i	0.582785	+	0.730790i
$512$	0.900969	−	0.433884i	0.0398176	−	0.0191751i
$513$	2.34866	−	10.2901i	0.103696	−	0.454321i
$514$	3.89894	+	17.0824i	0.171975	+	0.753471i
$515$	−10.2365			−0.451072
$516$	4.95691	−	0.260966i	0.218216	−	0.0114884i
$517$	3.50640			0.154211
$518$	2.04676	+	8.96745i	0.0899295	+	0.394007i
$519$	−4.27178	+	18.7159i	−0.187510	+	0.821536i
$520$	3.99629	−	1.92451i	0.175249	−	0.0843955i
$521$	2.42757	+	3.04407i	0.106354	+	0.133363i	0.832159	−	0.554536i	$-0.187104\pi$
$521$	2.42757	+	3.04407i	0.106354	+	0.133363i	−0.725806	+	0.687900i	$0.758533\pi$
$522$	3.64193			0.159403
$523$	−23.4695			−1.02625			−0.513125	−	0.858314i	$-0.671512\pi$
$523$	−23.4695			−1.02625			−0.513125	+	0.858314i	$0.671512\pi$
$524$	6.18489	+	7.75560i	0.270188	+	0.338805i
$525$	−1.72473	−	0.830588i	−0.0752735	−	0.0362498i
$526$	−0.380897	+	0.477629i	−0.0166079	+	0.0208256i
$527$	1.33961	+	0.645124i	0.0583545	+	0.0281021i
$528$	−0.465137	−	2.03790i	−0.0202425	−	0.0886882i
$529$	−4.87197	−	6.10926i	−0.211825	−	0.265620i
$530$	−0.975930	−	4.27583i	−0.0423917	−	0.185730i
$531$	17.8205	−	8.58189i	0.773343	−	0.372422i
$532$	4.05111	−	5.07994i	0.175638	−	0.220243i
$533$	−7.26346	+	9.10809i	−0.314615	+	0.394515i
$534$	1.92366	−	8.42811i	0.0832449	−	0.364720i
$535$	9.57369	−	4.61045i	0.413907	−	0.199327i
$536$	7.71625	+	3.71595i	0.333291	+	0.160505i
$537$	3.90704	−	17.1179i	0.168601	−	0.738691i
$538$	−3.92306	+	17.1880i	−0.169135	+	0.741029i
$539$	−1.50419	−	0.724382i	−0.0647903	−	0.0312013i
$540$	−3.70124	+	1.78242i	−0.159276	+	0.0767033i
$541$	3.29426	−	14.4331i	0.141631	−	0.620527i	−0.853425	−	0.521216i	$-0.825479\pi$
$541$	3.29426	−	14.4331i	0.141631	−	0.620527i	0.995056	−	0.0993118i	$-0.0316641\pi$
$542$	14.4861	−	18.1650i	0.622231	−	0.780253i
$543$	−0.477086	+	0.598248i	−0.0204737	+	0.0256733i
$544$	−5.84521	+	2.81490i	−0.250611	+	0.120688i
$545$	3.13081	+	13.7170i	0.134109	+	0.587571i
$546$	−5.29406	−	6.63855i	−0.226565	−	0.284104i
$547$	1.78744	+	7.83130i	0.0764255	+	0.334842i	0.998658	−	0.0517943i	$-0.0164940\pi$
$547$	1.78744	+	7.83130i	0.0764255	+	0.334842i	−0.922232	+	0.386636i	$0.873637\pi$
$548$	−13.4686	−	6.48614i	−0.575351	−	0.277074i
$549$	12.7764	−	16.0210i	0.545281	−	0.683761i
$550$	−2.48795	−	1.19813i	−0.106087	−	0.0510886i
$551$	−2.40382	−	3.01430i	−0.102406	−	0.128413i
$552$	−2.94984			−0.125554
$553$	6.43194			0.273514
$554$	5.95189	+	7.46343i	0.252871	+	0.317091i
$555$	−2.48056	+	1.19458i	−0.105294	+	0.0507069i
$556$	1.39396	−	6.10734i	0.0591171	−	0.259009i
$557$	10.2560	+	44.9345i	0.434561	+	1.90393i	0.427619	+	0.903959i	$0.359352\pi$
$557$	10.2560	+	44.9345i	0.434561	+	1.90393i	0.00694136	+	0.999976i	$0.497790\pi$
$558$	0.556223			0.0235468
$559$	25.5057	−	13.9802i	1.07878	−	0.591298i
$560$	−2.52891			−0.106866
$561$	3.01767	+	13.2213i	0.127406	+	0.558202i
$562$	2.94329	−	12.8954i	0.124155	−	0.543960i
$563$	−14.9337	+	7.19170i	−0.629381	+	0.303094i	−0.721248	−	0.692677i	$-0.756431\pi$
$563$	−14.9337	+	7.19170i	−0.629381	+	0.303094i	0.0918663	+	0.995771i	$0.470717\pi$
$564$	0.599289	+	0.751485i	0.0252346	+	0.0316432i
$565$	14.1527			0.595411
$566$	17.2638			0.725653
$567$	−6.57713	−	8.24746i	−0.276213	−	0.346361i
$568$	1.23330	+	0.593927i	0.0517482	+	0.0249206i
$569$	14.7205	−	18.4590i	0.617117	−	0.773841i	−0.370818	−	0.928705i	$-0.620923\pi$
$569$	14.7205	−	18.4590i	0.617117	−	0.773841i	0.987936	+	0.154865i	$0.0494942\pi$
$570$	1.75226	+	0.843845i	0.0733941	+	0.0353448i
$571$	−6.34676	−	27.8070i	−0.265604	−	1.16369i	−0.915070	−	0.403296i	$-0.867865\pi$
$571$	−6.34676	−	27.8070i	−0.265604	−	1.16369i	0.649466	−	0.760391i	$-0.274992\pi$
$572$	−7.63676	−	9.57620i	−0.319309	−	0.400401i
$573$	−1.17123	−	5.13151i	−0.0489290	−	0.214372i
$574$	5.98426	−	2.88187i	0.249778	−	0.120287i
$575$	−2.42969	+	3.04673i	−0.101325	+	0.127058i
$576$	−1.51321	+	1.89750i	−0.0630504	+	0.0790626i
$577$	0.265117	−	1.16155i	0.0110370	−	0.0483561i	−0.969110	−	0.246631i	$-0.920677\pi$
$577$	0.265117	−	1.16155i	0.0110370	−	0.0483561i	0.980147	+	0.198274i	$0.0635337\pi$
$578$	22.6054	−	10.8862i	0.940262	−	0.452806i
$579$	−13.0040	−	6.26240i	−0.540428	−	0.260256i
$580$	−0.333913	+	1.46297i	−0.0138650	+	0.0607464i
$581$	−6.44345	+	28.2306i	−0.267319	+	1.17120i
$582$	5.67743	+	2.73411i	0.235337	+	0.113332i
$583$	−10.9116	+	5.25477i	−0.451914	+	0.217630i
$584$	−1.85920	+	8.14569i	−0.0769343	+	0.337071i
$585$	−6.71192	+	8.41648i	−0.277504	+	0.347978i
$586$	−0.479047	+	0.600706i	−0.0197893	+	0.0248149i
$587$	−11.5302	+	5.55265i	−0.475902	+	0.229182i	−0.656429	−	0.754388i	$-0.727934\pi$
$587$	−11.5302	+	5.55265i	−0.475902	+	0.229182i	0.180527	+	0.983570i	$0.442220\pi$
$588$	−0.101838	−	0.446182i	−0.00419974	−	0.0184003i
$589$	−0.367130	−	0.460367i	−0.0151273	−	0.0189691i
$590$	1.81347	+	7.94534i	0.0746595	+	0.327104i
$591$	16.3029	+	7.85105i	0.670610	+	0.322949i
$592$	−2.26773	+	2.84364i	−0.0932032	+	0.116873i
$593$	24.6277	+	11.8601i	1.01134	+	0.487034i	0.864771	−	0.502167i	$-0.167464\pi$
$593$	24.6277	+	11.8601i	1.01134	+	0.487034i	0.146566	+	0.989201i	$0.453178\pi$
$594$	7.07293	+	8.86917i	0.290206	+	0.363907i
$595$	16.4068			0.672614
$596$	−1.31934			−0.0540421
$597$	6.27830	+	7.87274i	0.256954	+	0.322210i
$598$	−15.5732	+	7.49967i	−0.636837	+	0.306684i
$599$	−8.37426	+	36.6900i	−0.342163	+	1.49911i	0.452336	+	0.891848i	$0.350591\pi$
$599$	−8.37426	+	36.6900i	−0.342163	+	1.49911i	−0.794499	+	0.607266i	$0.792266\pi$
$600$	−0.168441	−	0.737990i	−0.00687659	−	0.0301283i
$601$	−13.5409			−0.552346			−0.276173	−	0.961108i	$-0.589066\pi$
$601$	−13.5409			−0.552346			−0.276173	+	0.961108i	$0.589066\pi$
$602$	−16.5603	+	0.871846i	−0.674946	+	0.0355338i
$603$	−20.7858			−0.846461
$604$	0.648695	+	2.84212i	0.0263950	+	0.115644i
$605$	0.750911	−	3.28996i	0.0305289	−	0.133756i
$606$	2.66078	−	1.28136i	0.108087	−	0.0520518i
$607$	−6.73788	−	8.44903i	−0.273482	−	0.342936i	0.626056	−	0.779778i	$-0.284668\pi$
$607$	−6.73788	−	8.44903i	−0.273482	−	0.342936i	−0.899538	+	0.436842i	$0.856097\pi$
$608$	2.56928			0.104198
$609$	2.87259			0.116403
$610$	5.26426	+	6.60118i	0.213144	+	0.267274i
$611$	5.07442	+	2.44371i	0.205289	+	0.0988620i
$612$	9.81723	−	12.3104i	0.396838	−	0.497619i
$613$	12.0323	+	5.79443i	0.485979	+	0.234035i	0.660796	−	0.750566i	$-0.270219\pi$
$613$	12.0323	+	5.79443i	0.485979	+	0.234035i	−0.174817	+	0.984601i	$0.555933\pi$
$614$	−5.80036	−	25.4131i	−0.234084	−	1.02559i
$615$	1.23958	+	1.55438i	0.0499846	+	0.0626787i
$616$	1.55395	+	6.80830i	0.0626105	+	0.274314i
$617$	16.6408	−	8.01380i	0.669935	−	0.322623i	−0.0678151	−	0.997698i	$-0.521603\pi$
$617$	16.6408	−	8.01380i	0.669935	−	0.322623i	0.737750	+	0.675074i	$0.235888\pi$
$618$	−4.83123	+	6.05817i	−0.194340	+	0.243695i
$619$	−23.8016	+	29.8463i	−0.956667	+	1.19962i	0.0231513	+	0.999732i	$0.492630\pi$
$619$	−23.8016	+	29.8463i	−0.956667	+	1.19962i	−0.979818	+	0.199890i	$0.935941\pi$
$620$	−0.0509977	+	0.223436i	−0.00204812	+	0.00897339i
$621$	14.4234	−	6.94596i	0.578792	−	0.278732i
$622$	24.5700	+	11.8323i	0.985169	+	0.474432i
$623$	−6.42665	+	28.1570i	−0.257478	+	1.12809i
$624$	0.747131	−	3.27339i	0.0299092	−	0.131041i
$625$	−0.900969	−	0.433884i	−0.0360388	−	0.0173553i
$626$	−6.20792	+	2.98958i	−0.248118	+	0.119487i
$627$	1.19507	−	5.23593i	0.0477264	−	0.209103i
$628$	12.3403	−	15.4743i	0.492433	−	0.617491i
$629$	14.7123	−	18.4487i	0.586619	−	0.735597i
$630$	5.52985	−	2.66304i	0.220315	−	0.106098i
$631$	11.1017	+	48.6397i	0.441952	+	1.93632i	0.335662	+	0.941982i	$0.391040\pi$
$631$	11.1017	+	48.6397i	0.441952	+	1.93632i	0.106290	+	0.994335i	$0.466103\pi$
$632$	1.58576	+	1.98848i	0.0630781	+	0.0790974i
$633$	3.25350	+	14.2545i	0.129315	+	0.566566i
$634$	28.3795	+	13.6669i	1.12710	+	0.542781i
$635$	−0.975492	+	1.22323i	−0.0387112	+	0.0485423i
$636$	−2.99113	−	1.44045i	−0.118606	−	0.0571177i
$637$	−1.67201	−	2.09663i	−0.0662475	−	0.0830717i
$638$	4.14376			0.164053
$639$	−3.32223			−0.131425
$640$	−0.623490	−	0.781831i	−0.0246456	−	0.0309046i
$641$	−0.375549	+	0.180855i	−0.0148333	+	0.00714333i	−0.441286	−	0.897367i	$-0.645477\pi$
$641$	−0.375549	+	0.180855i	−0.0148333	+	0.00714333i	0.426452	+	0.904510i	$0.359763\pi$
$642$	1.78986	−	7.84188i	0.0706401	−	0.309494i
$643$	−4.97071	−	21.7781i	−0.196026	−	0.858845i	−0.973273	−	0.229650i	$-0.926242\pi$
$643$	−4.97071	−	21.7781i	−0.196026	−	0.858845i	0.777248	−	0.629195i	$-0.216615\pi$
$644$	9.85497			0.388340
$645$	−1.35744	−	4.77456i	−0.0534491	−	0.187998i
$646$	−16.6687			−0.655820
$647$	−1.07791	−	4.72262i	−0.0423769	−	0.185665i	0.949310	−	0.314343i	$-0.101784\pi$
$647$	−1.07791	−	4.72262i	−0.0423769	−	0.185665i	−0.991687	+	0.128677i	$0.958927\pi$
$648$	0.928205	−	4.06673i	0.0364633	−	0.159756i
$649$	20.2760	−	9.76440i	0.795902	−	0.383286i
$650$	−2.76552	−	3.46785i	−0.108473	−	0.136020i
$651$	0.438725			0.0171950
$652$	−8.96907			−0.351256
$653$	10.9824	+	13.7716i	0.429776	+	0.538923i	0.948817	−	0.315827i	$-0.102282\pi$
$653$	10.9824	+	13.7716i	0.429776	+	0.538923i	−0.519040	+	0.854750i	$0.673711\pi$
$654$	9.59564	+	4.62102i	0.375219	+	0.180696i
$655$	6.18489	−	7.75560i	0.241663	−	0.303036i
$656$	2.36634	+	1.13957i	0.0923899	+	0.0444926i
$657$	−4.51228	−	19.7696i	−0.176041	−	0.771285i
$658$	−2.00213	−	2.51059i	−0.0780512	−	0.0978731i
$659$	−0.739781	−	3.24119i	−0.0288178	−	0.126259i	0.958473	−	0.285183i	$-0.0920545\pi$
$659$	−0.739781	−	3.24119i	−0.0288178	−	0.126259i	−0.987291	+	0.158924i	$0.949197\pi$
$660$	−1.88330	+	0.906951i	−0.0733075	+	0.0353030i
$661$	−29.6964	+	37.2381i	−1.15506	+	1.44839i	−0.282912	+	0.959146i	$0.591301\pi$
$661$	−29.6964	+	37.2381i	−1.15506	+	1.44839i	−0.872144	+	0.489249i	$0.837271\pi$
$662$	−18.5001	+	23.1984i	−0.719026	+	0.901630i
$663$	−4.84715	+	21.2368i	−0.188248	+	0.824768i
$664$	−10.3163	+	4.96806i	−0.400349	+	0.192798i
$665$	−5.85403	−	2.81915i	−0.227010	−	0.109322i
$666$	1.96428	−	8.60605i	0.0761141	−	0.333478i
$667$	1.30123	−	5.70106i	0.0503838	−	0.220746i
$668$	15.2818	+	7.35933i	0.591271	+	0.284741i
$669$	−11.9009	+	5.73115i	−0.460114	+	0.221579i
$670$	1.90576	−	8.34966i	0.0736258	−	0.322576i
$671$	14.5368	−	18.2286i	0.561188	−	0.703708i
$672$	−1.19355	+	1.49667i	−0.0460423	+	0.0577352i
$673$	−3.69848	+	1.78109i	−0.142566	+	0.0686561i	−0.503807	−	0.863817i	$-0.668068\pi$
$673$	−3.69848	+	1.78109i	−0.142566	+	0.0686561i	0.361241	+	0.932473i	$0.382353\pi$
$674$	2.28198	+	9.99801i	0.0878986	+	0.385109i
$675$	2.56134	+	3.21182i	0.0985860	+	0.123623i
$676$	−1.48513	−	6.50679i	−0.0571205	−	0.250261i
$677$	9.96377	+	4.79830i	0.382939	+	0.184414i	0.615442	−	0.788182i	$-0.288977\pi$
$677$	9.96377	+	4.79830i	0.382939	+	0.184414i	−0.232504	+	0.972596i	$0.574692\pi$
$678$	6.67956	−	8.37591i	0.256527	−	0.321675i
$679$	−18.9674	−	9.13423i	−0.727903	−	0.350539i
$680$	4.04501	+	5.07228i	0.155119	+	0.194513i
$681$	11.7692			0.450997
$682$	0.632867			0.0242337
$683$	14.5412	+	18.2341i	0.556402	+	0.697707i	0.977888	−	0.209128i	$-0.0670627\pi$
$683$	14.5412	+	18.2341i	0.556402	+	0.697707i	−0.421486	+	0.906835i	$0.638491\pi$
$684$	−5.61811	+	2.70554i	−0.214814	+	0.103449i
$685$	−3.32647	+	14.5742i	−0.127098	+	0.556853i
$686$	4.27938	+	18.7492i	0.163388	+	0.715847i
$687$	17.0981			0.652333
$688$	−4.35238	−	4.90477i	−0.165933	−	0.186993i
$689$	−19.4534			−0.741115
$690$	0.656402	+	2.87589i	0.0249888	+	0.109483i
$691$	−2.05753	+	9.01465i	−0.0782723	+	0.342933i	−0.998867	−	0.0475857i	$-0.984847\pi$
$691$	−2.05753	+	9.01465i	−0.0782723	+	0.342933i	0.920595	+	0.390519i	$0.127704\pi$
$692$	22.8491	−	11.0036i	0.868593	−	0.418293i
$693$	−10.5673	−	13.2510i	−0.401420	−	0.503364i
$694$	18.9695			0.720073
$695$	−6.26440			−0.237622
$696$	0.708222	+	0.888082i	0.0268451	+	0.0336627i
$697$	−15.3521	−	7.39316i	−0.581501	−	0.280036i
$698$	8.30322	−	10.4119i	0.314282	−	0.394097i
$699$	−3.29943	−	1.58892i	−0.124796	−	0.0600986i
$700$	0.562736	+	2.46551i	0.0212694	+	0.0931875i
$701$	2.62379	+	3.29013i	0.0990993	+	0.124267i	0.828908	−	0.559384i	$-0.188962\pi$
$701$	2.62379	+	3.29013i	0.0990993	+	0.124267i	−0.729809	+	0.683651i	$0.760391\pi$
$702$	4.05468	+	17.7647i	0.153034	+	0.670485i
$703$	−8.41944	+	4.05459i	−0.317545	+	0.152922i
$704$	−1.72172	+	2.15896i	−0.0648896	+	0.0813690i
$705$	0.599289	−	0.751485i	0.0225705	−	0.0283026i
$706$	−5.50784	+	24.1314i	−0.207290	+	0.908199i
$707$	−8.88924	+	4.28083i	−0.334314	+	0.160997i
$708$	5.55812	+	2.67665i	0.208887	+	0.100595i
$709$	−6.59036	+	28.8742i	−0.247506	+	1.08439i	0.686498	+	0.727132i	$0.259147\pi$
$709$	−6.59036	+	28.8742i	−0.247506	+	1.08439i	−0.934004	+	0.357263i	$0.883710\pi$
$710$	0.304601	−	1.33454i	0.0114315	−	0.0500845i
$711$	−5.56144	−	2.67825i	−0.208570	−	0.100442i
$712$	−10.2894	+	4.95511i	−0.385611	+	0.185700i
$713$	0.198734	−	0.870710i	0.00744264	−	0.0326083i
$714$	7.74340	−	9.70992i	0.289789	−	0.363385i
$715$	−7.63676	+	9.57620i	−0.285599	+	0.358130i
$716$	−20.8982	+	10.0641i	−0.781003	+	0.376111i
$717$	0.570809	+	2.50088i	0.0213173	+	0.0933970i
$718$	−4.37957	−	5.49180i	−0.163444	−	0.204952i
$719$	−3.81698	−	16.7233i	−0.142349	−	0.623673i	−0.994886	−	0.101005i	$-0.967794\pi$
$719$	−3.81698	−	16.7233i	−0.142349	−	0.623673i	0.852537	−	0.522667i	$-0.175063\pi$
$720$	2.18665	+	1.05304i	0.0814916	+	0.0392443i
$721$	16.1404	−	20.2394i	0.601099	−	0.753754i
$722$	−11.1709	−	5.37964i	−0.415739	−	0.200210i
$723$	10.8662	+	13.6258i	0.404118	+	0.506748i
$724$	1.01086			0.0375682
$725$	1.50059			0.0557305
$726$	−1.59267	−	1.99714i	−0.0591094	−	0.0741209i
$727$	−25.8180	+	12.4333i	−0.957536	+	0.461125i	−0.846322	−	0.532671i	$-0.821188\pi$
$727$	−25.8180	+	12.4333i	−0.957536	+	0.461125i	−0.111214	+	0.993796i	$0.535474\pi$
$728$	−2.49605	+	10.9359i	−0.0925097	+	0.405311i
$729$	0.176844	+	0.774805i	0.00654979	+	0.0286965i
$730$	8.35518			0.309239
$731$	28.2369	+	31.8207i	1.04438	+	1.17693i
$732$	6.39126			0.236228
$733$	5.64260	+	24.7219i	0.208414	+	0.913122i	0.965622	+	0.259949i	$0.0837057\pi$
$733$	5.64260	+	24.7219i	0.208414	+	0.913122i	−0.757208	+	0.653174i	$0.773437\pi$
$734$	2.08333	−	9.12767i	0.0768972	−	0.336909i
$735$	−0.412335	+	0.198570i	−0.0152092	+	0.00732436i
$736$	2.42969	+	3.04673i	0.0895595	+	0.112304i
$737$	−23.6499			−0.871154
$738$	−6.37435			−0.234643
$739$	−11.6073	−	14.5550i	−0.426980	−	0.535416i	0.521080	−	0.853508i	$-0.325529\pi$
$739$	−11.6073	−	14.5550i	−0.426980	−	0.535416i	−0.948060	+	0.318092i	$0.896958\pi$
$740$	3.27697	+	1.57810i	0.120464	+	0.0580122i
$741$	5.37856	−	6.74450i	0.197586	−	0.247765i
$742$	9.99290	+	4.81233i	0.366851	+	0.176666i
$743$	7.79819	+	34.1661i	0.286088	+	1.25343i	0.889844	+	0.456264i	$0.150813\pi$
$743$	7.79819	+	34.1661i	0.286088	+	1.25343i	−0.603757	+	0.797169i	$0.706330\pi$
$744$	0.108165	+	0.135635i	0.00396553	+	0.00497261i
$745$	0.293580	+	1.28626i	0.0107559	+	0.0471248i
$746$	−16.3023	+	7.85080i	−0.596871	+	0.287438i
$747$	17.3266	−	21.7268i	0.633946	−	0.794943i
$748$	11.1700	−	14.0067i	0.408414	−	0.512135i
$749$	−5.97964	+	26.1985i	−0.218491	+	0.957272i
$750$	−0.682005	+	0.328436i	−0.0249033	+	0.0119928i
$751$	−37.3359	−	17.9800i	−1.36241	−	0.656100i	−0.397234	−	0.917717i	$-0.630030\pi$
$751$	−37.3359	−	17.9800i	−1.36241	−	0.656100i	−0.965172	+	0.261617i	$0.915744\pi$
$752$	0.282553	−	1.23795i	0.0103036	−	0.0451432i
$753$	4.49613	−	19.6988i	0.163848	−	0.717865i
$754$	5.99680	+	2.88791i	0.218391	+	0.105171i
$755$	2.62651	−	1.26486i	0.0955886	−	0.0460330i
$756$	2.31176	−	10.1285i	0.0840779	−	0.368369i
$757$	−6.71752	+	8.42350i	−0.244152	+	0.306157i	−0.888775	−	0.458343i	$-0.848443\pi$
$757$	−6.71752	+	8.42350i	−0.244152	+	0.306157i	0.644623	+	0.764501i	$0.277014\pi$
$758$	−1.69418	+	2.12444i	−0.0615355	+	0.0771630i
$759$	7.33907	−	3.53431i	0.266392	−	0.128287i
$760$	−0.571718	−	2.50486i	−0.0207384	−	0.0908608i
$761$	−15.5473	−	19.4958i	−0.563591	−	0.706721i	0.415626	−	0.909536i	$-0.363562\pi$
$761$	−15.5473	−	19.4958i	−0.563591	−	0.706721i	−0.979217	+	0.202815i	$0.934991\pi$
$762$	0.263538	+	1.15464i	0.00954697	+	0.0418280i
$763$	−32.0575	−	15.4381i	−1.16056	−	0.558897i
$764$	−4.33535	+	5.43636i	−0.156847	+	0.196680i
$765$	−14.1863	−	6.83177i	−0.512907	−	0.247003i
$766$	−22.0032	−	27.5912i	−0.795009	−	0.996910i
$767$	36.1483			1.30524
$768$	−0.756969			−0.0273148
$769$	20.3627	+	25.5340i	0.734298	+	0.920781i	0.999052	−	0.0435352i	$-0.0138621\pi$
$769$	20.3627	+	25.5340i	0.734298	+	0.920781i	−0.264754	+	0.964316i	$0.585291\pi$
$770$	6.29182	−	3.02998i	0.226741	−	0.109193i
$771$	2.95138	−	12.9308i	0.106291	−	0.465692i
$772$	4.24287	+	18.5892i	0.152704	+	0.669042i
$773$	−31.9273			−1.14835			−0.574173	−	0.818734i	$-0.694676\pi$
$773$	−31.9273			−1.14835			−0.574173	+	0.818734i	$0.694676\pi$
$774$	14.6820	+	6.14181i	0.527735	+	0.220763i
$775$	0.229182			0.00823245
$776$	−1.85240	−	8.11590i	−0.0664973	−	0.291344i
$777$	1.54933	−	6.78808i	0.0555821	−	0.243521i
$778$	−0.314949	+	0.151672i	−0.0112915	+	0.00543769i
$779$	4.20733	+	5.27583i	0.150743	+	0.189026i
$780$	−3.35758			−0.120220
$781$	−3.78000			−0.135259
$782$	−15.7631	−	19.7663i	−0.563686	−	0.706840i
$783$	−5.55405	−	2.67469i	−0.198485	−	0.0955856i
$784$	−0.376957	+	0.472689i	−0.0134627	+	0.0168817i
$785$	−17.8323	−	8.58758i	−0.636462	−	0.306504i
$786$	−1.67090	−	7.32070i	−0.0595991	−	0.261121i
$787$	−11.0482	−	13.8540i	−0.393825	−	0.493842i	0.544903	−	0.838499i	$-0.316566\pi$
$787$	−11.0482	−	13.8540i	−0.393825	−	0.493842i	−0.938728	+	0.344658i	$0.887995\pi$
$788$	−5.31921	−	23.3050i	−0.189489	−	0.830205i
$789$	0.416644	−	0.200645i	0.0148329	−	0.00714316i
$790$	1.58576	−	1.98848i	0.0564188	−	0.0707469i
$791$	−22.3154	+	27.9826i	−0.793444	+	0.994947i
$792$	1.49133	−	6.53393i	0.0529920	−	0.232173i
$793$	33.7416	−	16.2491i	1.19820	−	0.577022i
$794$	18.0406	+	8.68791i	0.640238	+	0.308322i
$795$	−0.738749	+	3.23667i	−0.0262007	+	0.114793i
$796$	2.96009	−	12.9690i	0.104918	−	0.459675i
$797$	17.7037	+	8.52566i	0.627098	+	0.301994i	0.720310	−	0.693652i	$-0.243999\pi$
$797$	17.7037	+	8.52566i	0.627098	+	0.301994i	−0.0932128	+	0.995646i	$0.529714\pi$
$798$	−4.43132	+	2.13401i	−0.156867	+	0.0755432i
$799$	−1.83312	+	8.03141i	−0.0648510	+	0.284131i
$800$	−0.623490	+	0.781831i	−0.0220437	+	0.0276419i
$801$	17.2814	−	21.6702i	0.610607	−	0.765678i
$802$	21.6482	−	10.4252i	0.764425	−	0.368127i
$803$	−5.13404	−	22.4937i	−0.181176	−	0.793785i
$804$	−4.04207	−	5.06859i	−0.142553	−	0.178756i
$805$	−2.19294	−	9.60788i	−0.0772909	−	0.338633i
$806$	0.915877	+	0.441063i	0.0322604	+	0.0155358i
$807$	8.32073	−	10.4339i	0.292903	−	0.367289i
$808$	−3.51504	−	1.69276i	−0.123659	−	0.0595509i
$809$	−11.0663	−	13.8768i	−0.389072	−	0.487881i	0.548265	−	0.836305i	$-0.315288\pi$
$809$	−11.0663	−	13.8768i	−0.389072	−	0.487881i	−0.937337	+	0.348424i	$0.886717\pi$
$810$	−4.17131			−0.146565
$811$	39.0882			1.37257			0.686286	−	0.727332i	$-0.259240\pi$
$811$	39.0882			1.37257			0.686286	+	0.727332i	$0.259240\pi$
$812$	−2.36606	−	2.96694i	−0.0830324	−	0.104119i
$813$	−15.8456	+	7.63086i	−0.555731	+	0.267626i
$814$	2.23494	−	9.79190i	0.0783345	−	0.343206i
$815$	1.99581	+	8.74420i	0.0699100	+	0.306296i
$816$	4.91098			0.171919
$817$	−4.60737	−	16.2057i	−0.161192	−	0.566964i
$818$	−35.3527			−1.23608
$819$	−6.05790	−	26.5414i	−0.211680	−	0.927432i
$820$	0.584437	−	2.56058i	0.0204094	−	0.0894195i
$821$	−46.7621	+	22.5195i	−1.63201	+	0.785934i	−0.632070	+	0.774911i	$0.717795\pi$
$821$	−46.7621	+	22.5195i	−1.63201	+	0.785934i	−0.999939	+	0.0110230i	$0.996491\pi$
$822$	7.05538	+	8.84717i	0.246085	+	0.308580i
$823$	4.86742			0.169668			0.0848338	−	0.996395i	$-0.472964\pi$
$823$	4.86742			0.169668			0.0848338	+	0.996395i	$0.472964\pi$
$824$	10.2365			0.356604
$825$	1.30329	+	1.63427i	0.0453746	+	0.0568979i
$826$	−18.5688	−	8.94227i	−0.646091	−	0.311141i
$827$	−21.0920	+	26.4486i	−0.733441	+	0.919707i	−0.999015	−	0.0443842i	$-0.985867\pi$
$827$	−21.0920	+	26.4486i	−0.733441	+	0.919707i	0.265573	+	0.964091i	$0.414439\pi$
$828$	−8.52119	−	4.10359i	−0.296132	−	0.142610i
$829$	−5.83038	−	25.5446i	−0.202497	−	0.887199i	−0.969410	−	0.245447i	$-0.921065\pi$
$829$	−5.83038	−	25.5446i	−0.202497	−	0.887199i	0.766913	−	0.641752i	$-0.221792\pi$
$830$	7.13909	+	8.95214i	0.247801	+	0.310733i
$831$	−1.60796	−	7.04492i	−0.0557794	−	0.244385i
$832$	−3.99629	+	1.92451i	−0.138547	+	0.0667205i
$833$	2.44558	−	3.06666i	0.0847342	−	0.106253i
$834$	−2.95656	+	3.70741i	−0.102377	+	0.128377i
$835$	3.77429	−	16.5363i	0.130615	−	0.572261i
$836$	−6.39224	+	3.07834i	−0.221080	+	0.106467i
$837$	−0.848257	−	0.408499i	−0.0293200	−	0.0141198i
$838$	9.06516	−	39.7171i	0.313151	−	1.37200i
$839$	−3.97250	+	17.4046i	−0.137146	+	0.600875i	0.858908	+	0.512129i	$0.171143\pi$
$839$	−3.97250	+	17.4046i	−0.137146	+	0.600875i	−0.996054	+	0.0887460i	$0.971714\pi$
$840$	1.72473	+	0.830588i	0.0595090	+	0.0286580i
$841$	24.0993	−	11.6056i	0.831011	−	0.400194i
$842$	−0.308570	+	1.35193i	−0.0106340	+	0.0465907i
$843$	−6.24266	+	7.82805i	−0.215009	+	0.269612i
$844$	12.0429	−	15.1013i	0.414534	−	0.519809i
$845$	−6.01318	+	2.89579i	−0.206860	+	0.0996183i
$846$	0.685755	+	3.00449i	0.0235768	+	0.103297i
$847$	5.32085	+	6.67214i	0.182827	+	0.229257i
$848$	0.975930	+	4.27583i	0.0335136	+	0.146833i
$849$	−11.7740	−	5.67008i	−0.404084	−	0.194596i
$850$	4.04501	−	5.07228i	0.138743	−	0.173978i
$851$	−12.7701	−	6.14974i	−0.437752	−	0.210810i
$852$	−0.646052	−	0.810123i	−0.0221334	−	0.0277544i
$853$	53.7080			1.83893			0.919463	−	0.393177i	$-0.128624\pi$
$853$	53.7080			1.83893			0.919463	+	0.393177i	$0.128624\pi$
$854$	−21.3522			−0.730657
$855$	3.88785	+	4.87521i	0.132962	+	0.166729i
$856$	−9.57369	+	4.61045i	−0.327222	+	0.157582i
$857$	−1.06658	+	4.67298i	−0.0364336	+	0.159626i	−0.989872	−	0.141961i	$-0.954659\pi$
$857$	−1.06658	+	4.67298i	−0.0364336	+	0.159626i	0.953439	+	0.301587i	$0.0975164\pi$
$858$	2.06314	+	9.03921i	0.0704345	+	0.308594i
$859$	−21.1297			−0.720935			−0.360467	−	0.932772i	$-0.617383\pi$
$859$	−21.1297			−0.720935			−0.360467	+	0.932772i	$0.617383\pi$
$860$	−3.81330	+	5.33467i	−0.130033	+	0.181911i
$861$	−5.02781			−0.171347
$862$	6.20840	+	27.2008i	0.211459	+	0.926462i
$863$	7.19438	−	31.5207i	0.244900	−	1.07298i	−0.691593	−	0.722288i	$-0.743091\pi$
$863$	7.19438	−	31.5207i	0.244900	−	1.07298i	0.936492	−	0.350688i	$-0.114052\pi$
$864$	3.70124	−	1.78242i	0.125919	−	0.0606393i
$865$	−15.8121	−	19.8277i	−0.537627	−	0.674163i
$866$	36.4358			1.23814
$867$	−18.9925			−0.645018
$868$	−0.361363	−	0.453135i	−0.0122655	−	0.0153804i
$869$	−6.32776	−	3.04729i	−0.214655	−	0.103372i
$870$	0.708222	−	0.888082i	0.0240110	−	0.0301088i
$871$	−34.2258	−	16.4823i	−1.15970	−	0.558481i
$872$	−3.13081	−	13.7170i	−0.106023	−	0.464516i
$873$	12.5969	+	15.7960i	0.426340	+	0.534613i
$874$	2.22794	+	9.76123i	0.0753611	+	0.330179i
$875$	2.27847	−	1.09725i	0.0770265	−	0.0370940i
$876$	3.94333	−	4.94478i	0.133233	−	0.167069i
$877$	−17.7168	+	22.2161i	−0.598253	+	0.750185i	−0.985104	−	0.171957i	$-0.944991\pi$
$877$	−17.7168	+	22.2161i	−0.598253	+	0.750185i	0.386852	+	0.922142i	$0.373562\pi$
$878$	3.75860	−	16.4675i	0.126847	−	0.555752i
$879$	0.524006	−	0.252348i	0.0176743	−	0.00851149i
$880$	2.48795	+	1.19813i	0.0838689	+	0.0403891i
$881$	7.80167	−	34.1813i	0.262845	−	1.15160i	−0.655305	−	0.755365i	$-0.727460\pi$
$881$	7.80167	−	34.1813i	0.262845	−	1.15160i	0.918150	−	0.396234i	$-0.129683\pi$
$882$	0.326514	−	1.43055i	0.0109943	−	0.0481692i
$883$	24.5967	+	11.8452i	0.827746	+	0.398622i	0.799269	−	0.600973i	$-0.205220\pi$
$883$	24.5967	+	11.8452i	0.827746	+	0.398622i	0.0284769	+	0.999594i	$0.490934\pi$
$884$	25.9267	−	12.4857i	0.872010	−	0.419938i
$885$	1.37274	−	6.01438i	0.0461442	−	0.202171i
$886$	5.48028	−	6.87205i	0.184113	−	0.230871i
$887$	−12.4626	+	15.6277i	−0.418454	+	0.524725i	−0.945723	−	0.324973i	$-0.894645\pi$
$887$	−12.4626	+	15.6277i	−0.418454	+	0.524725i	0.527269	+	0.849699i	$0.323216\pi$
$888$	2.48056	−	1.19458i	0.0832422	−	0.0400873i
$889$	−0.880439	−	3.85746i	−0.0295290	−	0.129375i
$890$	7.12047	+	8.92879i	0.238679	+	0.299294i
$891$	2.56316	+	11.2299i	0.0858692	+	0.376217i
$892$	15.7217	+	7.57118i	0.526402	+	0.253502i
$893$	2.03409	−	2.55066i	0.0680681	−	0.0853547i
$894$	0.899794	+	0.433318i	0.0300936	+	0.0144923i
$895$	14.4620	+	18.1348i	0.483412	+	0.606179i
$896$	2.52891			0.0844851
$897$	13.0842			0.436868
$898$	5.78720	+	7.25692i	0.193121	+	0.242166i
$899$	−0.309850	+	0.149216i	−0.0103341	+	0.00497663i
$900$	0.540058	−	2.36615i	0.0180019	−	0.0788716i
$901$	−6.33153	−	27.7403i	−0.210934	−	0.924162i
$902$	−7.25269			−0.241488
$903$	11.5805	+	4.84439i	0.385376	+	0.161211i
$904$	−14.1527			−0.470713
$905$	−0.224937	−	0.985513i	−0.00747715	−	0.0327596i
$906$	0.491042	−	2.15140i	0.0163138	−	0.0714753i
$907$	−43.6545	+	21.0229i	−1.44952	+	0.698054i	−0.982512	−	0.186198i	$-0.940384\pi$
$907$	−43.6545	+	21.0229i	−1.44952	+	0.698054i	−0.467011	+	0.884251i	$0.654669\pi$
$908$	−9.69390	−	12.1558i	−0.321703	−	0.403403i
$909$	9.46870			0.314057
$910$	11.2171			0.371844
$911$	3.06828	+	3.84750i	0.101657	+	0.127473i	0.830058	−	0.557678i	$-0.188308\pi$
$911$	3.06828	+	3.84750i	0.101657	+	0.127473i	−0.728401	+	0.685151i	$0.759736\pi$
$912$	−1.75226	−	0.843845i	−0.0580232	−	0.0279425i
$913$	19.7140	−	24.7206i	0.652439	−	0.818132i
$914$	32.5736	+	15.6866i	1.07744	+	0.518866i
$915$	−1.42219	−	6.23101i	−0.0470161	−	0.205991i
$916$	−14.0831	−	17.6597i	−0.465320	−	0.583493i
$917$	5.58223	+	24.4573i	0.184341	+	0.807652i
$918$	−24.0125	+	11.5638i	−0.792531	+	0.381663i
$919$	5.48865	−	6.88255i	0.181054	−	0.227034i	−0.683020	−	0.730400i	$-0.739334\pi$
$919$	5.48865	−	6.88255i	0.181054	−	0.227034i	0.864074	+	0.503366i	$0.167905\pi$
$920$	2.42969	−	3.04673i	0.0801044	−	0.100448i
$921$	−4.39069	+	19.2369i	−0.144678	+	0.633877i
$922$	23.1730	−	11.1595i	0.763161	−	0.367519i
$923$	−5.47038	−	2.63439i	−0.180060	−	0.0867122i
$924$	1.17629	−	5.15367i	0.0386972	−	0.169543i
$925$	0.809344	−	3.54597i	0.0266111	−	0.116591i
$926$	29.1922	+	14.0582i	0.959315	+	0.461982i
$927$	−22.3836	+	10.7794i	−0.735173	+	0.354040i
$928$	0.333913	−	1.46297i	0.0109612	−	0.0480242i
$929$	4.16610	−	5.22412i	0.136685	−	0.171398i	−0.708778	−	0.705432i	$-0.750753\pi$
$929$	4.16610	−	5.22412i	0.136685	−	0.171398i	0.845463	+	0.534034i	$0.179325\pi$
$930$	0.108165	−	0.135635i	0.00354687	−	0.00444764i
$931$	−1.39953	+	0.673979i	−0.0458678	+	0.0220888i
$932$	1.07652	+	4.71655i	0.0352626	+	0.154496i
$933$	−12.8707	−	16.1394i	−0.421369	−	0.528380i
$934$	4.29694	+	18.8261i	0.140600	+	0.616009i
$935$	−16.1411	−	7.77313i	−0.527869	−	0.254208i
$936$	6.71192	−	8.41648i	0.219386	−	0.275101i
$937$	−28.4940	−	13.7220i	−0.930859	−	0.448278i	−0.0939234	−	0.995579i	$-0.529941\pi$
$937$	−28.4940	−	13.7220i	−0.930859	−	0.448278i	−0.836936	+	0.547301i	$0.815655\pi$
$938$	13.5039	+	16.9334i	0.440919	+	0.552894i
$939$	5.21572			0.170209
$940$	−1.26978			−0.0414157
$941$	3.90898	+	4.90171i	0.127429	+	0.159791i	0.841453	−	0.540330i	$-0.181701\pi$
$941$	3.90898	+	4.90171i	0.127429	+	0.159791i	−0.714024	+	0.700121i	$0.753129\pi$
$942$	−13.4985	+	6.50053i	−0.439805	+	0.211799i
$943$	−2.27750	+	9.97838i	−0.0741656	+	0.324941i
$944$	−1.81347	−	7.94534i	−0.0590235	−	0.258599i
$945$	−10.3890			−0.337953
$946$	16.7051	+	6.98811i	0.543129	+	0.227203i
$947$	−47.1587			−1.53245			−0.766226	−	0.642571i	$-0.777868\pi$
$947$	−47.1587			−1.53245			−0.766226	+	0.642571i	$0.777868\pi$
$948$	−0.428407	−	1.87697i	−0.0139140	−	0.0609613i
$949$	8.24659	−	36.1307i	0.267696	−	1.17285i
$950$	−2.31484	+	1.11477i	−0.0751033	+	0.0361678i
$951$	−14.8663	−	18.6418i	−0.482073	−	0.604500i
$952$	−16.4068			−0.531748
$953$	−33.2788			−1.07800			−0.539002	−	0.842304i	$-0.681199\pi$
$953$	−33.2788			−1.07800			−0.539002	+	0.842304i	$0.681199\pi$
$954$	−6.63661	−	8.32205i	−0.214868	−	0.269436i
$955$	6.26476	+	3.01695i	0.202723	+	0.0976262i
$956$	2.11286	−	2.64945i	0.0683349	−	0.0856892i
$957$	−2.82607	−	1.36096i	−0.0913537	−	0.0439936i
$958$	−6.48369	−	28.4069i	−0.209479	−	0.917786i
$959$	−23.5709	−	29.5570i	−0.761145	−	0.954446i
$960$	0.168441	+	0.737990i	0.00543642	+	0.0238185i
$961$	27.8827	−	13.4276i	0.899442	−	0.433149i
$962$	10.0586	−	12.6131i	0.324304	−	0.406664i
$963$	16.0794	−	20.1629i	0.518150	−	0.649739i
$964$	5.12319	−	22.4462i	0.165007	−	0.722942i
$965$	17.1790	−	8.27299i	0.553013	−	0.266317i
$966$	−6.72114	−	3.23673i	−0.216249	−	0.104140i
$967$	−8.83718	+	38.7182i	−0.284184	+	1.24509i	0.608188	+	0.793793i	$0.291897\pi$
$967$	−8.83718	+	38.7182i	−0.284184	+	1.24509i	−0.892372	+	0.451300i	$0.850960\pi$
$968$	−0.750911	+	3.28996i	−0.0241352	+	0.105743i
$969$	11.3681	+	5.47460i	0.365197	+	0.175870i
$970$	−7.50022	+	3.61192i	−0.240818	+	0.115972i
$971$	1.84441	−	8.08087i	0.0591898	−	0.259327i	−0.936672	−	0.350208i	$-0.886111\pi$
$971$	1.84441	−	8.08087i	0.0591898	−	0.259327i	0.995862	+	0.0908804i	$0.0289681\pi$
$972$	−9.65272	+	12.1041i	−0.309611	+	0.388240i
$973$	9.87741	−	12.3859i	0.316655	−	0.397073i
$974$	20.6089	−	9.92472i	0.660351	−	0.318008i
$975$	0.747131	+	3.27339i	0.0239273	+	0.104832i
$976$	−5.26426	−	6.60118i	−0.168505	−	0.211298i
$977$	5.93509	+	26.0033i	0.189880	+	0.831921i	0.976678	+	0.214709i	$0.0688804\pi$
$977$	5.93509	+	26.0033i	0.189880	+	0.831921i	−0.786798	+	0.617211i	$0.788262\pi$
$978$	6.11695	+	2.94577i	0.195599	+	0.0941953i
$979$	19.6626	−	24.6561i	0.628420	−	0.788014i
$980$	0.544718	+	0.262322i	0.0174004	+	0.00837958i
$981$	21.2905	+	26.6974i	0.679752	+	0.852382i
$982$	−26.4798			−0.845004
$983$	48.0331			1.53202			0.766010	−	0.642829i	$-0.222239\pi$
$983$	48.0331			1.53202			0.766010	+	0.642829i	$0.222239\pi$
$984$	−1.23958	−	1.55438i	−0.0395163	−	0.0495519i
$985$	−21.5370	+	10.3717i	−0.686227	+	0.330469i
$986$	−2.16632	+	9.49128i	−0.0689898	+	0.302264i
$987$	0.540894	+	2.36981i	0.0172168	+	0.0754319i
$988$	−11.3962			−0.362560
$989$	14.8601	−	20.7888i	0.472525	−	0.661044i
$990$	−6.70196			−0.213002
$991$	−4.57109	−	20.0273i	−0.145205	−	0.636187i	−0.994178	−	0.107750i	$-0.965635\pi$
$991$	−4.57109	−	20.0273i	−0.145205	−	0.636187i	0.848973	−	0.528437i	$-0.177222\pi$
$992$	0.0509977	−	0.223436i	0.00161918	−	0.00709409i
$993$	20.2364	−	9.74531i	0.642181	−	0.309258i
$994$	2.15836	+	2.70649i	0.0684589	+	0.0858448i
$995$	−13.3025			−0.421719
$996$	8.66745			0.274639
$997$	−7.25247	−	9.09431i	−0.229688	−	0.288020i	0.653610	−	0.756832i	$-0.273254\pi$
$997$	−7.25247	−	9.09431i	−0.229688	−	0.288020i	−0.883298	+	0.468812i	$0.844682\pi$
$998$	0.149526	+	0.0720081i	0.00473318	+	0.00227938i
$999$	−9.31599	+	11.6819i	−0.294745	+	0.369599i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.c.231.2	yes	18
43.35	even	7	inner	430.2.k.c.121.2	✓	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.c.121.2	✓	18	43.35	even	7	inner
430.2.k.c.231.2	yes	18	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.222521 + 0.974928i) q^{2} +(0.168441 - 0.737990i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(0.623490 + 0.781831i) q^{5} +0.756969 q^{6} -2.52891 q^{7} +(-0.623490 - 0.781831i) q^{8} +(2.18665 + 1.05304i) q^{9} +O(q^{10})\)	\(q+(0.222521 + 0.974928i) q^{2} +(0.168441 - 0.737990i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(0.623490 + 0.781831i) q^{5} +0.756969 q^{6} -2.52891 q^{7} +(-0.623490 - 0.781831i) q^{8} +(2.18665 + 1.05304i) q^{9} +(-0.623490 + 0.781831i) q^{10} +(2.48795 + 1.19813i) q^{11} +(0.168441 + 0.737990i) q^{12} +(2.76552 + 3.46785i) q^{13} +(-0.562736 - 2.46551i) q^{14} +(0.682005 - 0.328436i) q^{15} +(0.623490 - 0.781831i) q^{16} +(-4.04501 + 5.07228i) q^{17} +(-0.540058 + 2.36615i) q^{18} +(2.31484 - 1.11477i) q^{19} +(-0.900969 - 0.433884i) q^{20} +(-0.425974 + 1.86631i) q^{21} +(-0.614474 + 2.69218i) q^{22} +(3.51100 + 1.69081i) q^{23} +(-0.682005 + 0.328436i) q^{24} +(-0.222521 + 0.974928i) q^{25} +(-2.76552 + 3.46785i) q^{26} +(2.56134 - 3.21182i) q^{27} +(2.27847 - 1.09725i) q^{28} +(-0.333913 - 1.46297i) q^{29} +(0.471962 + 0.591822i) q^{30} +(-0.0509977 - 0.223436i) q^{31} +(0.900969 + 0.433884i) q^{32} +(1.30329 - 1.63427i) q^{33} +(-5.84521 - 2.81490i) q^{34} +(-1.57675 - 1.97718i) q^{35} -2.42700 q^{36} -3.63716 q^{37} +(1.60192 + 2.00874i) q^{38} +(3.02507 - 1.45680i) q^{39} +(0.222521 - 0.974928i) q^{40} +(0.584437 + 2.56058i) q^{41} -1.91431 q^{42} +(1.12104 - 6.46090i) q^{43} -2.76142 q^{44} +(0.540058 + 2.36615i) q^{45} +(-0.867146 + 3.79921i) q^{46} +(1.14403 - 0.550937i) q^{47} +(-0.471962 - 0.591822i) q^{48} -0.604591 q^{49} -1.00000 q^{50} +(3.06195 + 3.83956i) q^{51} +(-3.99629 - 1.92451i) q^{52} +(-2.73449 + 3.42895i) q^{53} +(3.70124 + 1.78242i) q^{54} +(0.614474 + 2.69218i) q^{55} +(1.57675 + 1.97718i) q^{56} +(-0.432773 - 1.89610i) q^{57} +(1.35198 - 0.651082i) q^{58} +(5.08124 - 6.37167i) q^{59} +(-0.471962 + 0.591822i) q^{60} +(1.87879 - 8.23153i) q^{61} +(0.206486 - 0.0994382i) q^{62} +(-5.52985 - 2.66304i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(-0.987003 + 4.32434i) q^{65} +(1.88330 + 0.906951i) q^{66} +(-7.71625 + 3.71595i) q^{67} +(1.44365 - 6.32503i) q^{68} +(1.83920 - 2.30628i) q^{69} +(1.57675 - 1.97718i) q^{70} +(-1.23330 + 0.593927i) q^{71} +(-0.540058 - 2.36615i) q^{72} +(-5.20937 - 6.53234i) q^{73} +(-0.809344 - 3.54597i) q^{74} +(0.682005 + 0.328436i) q^{75} +(-1.60192 + 2.00874i) q^{76} +(-6.29182 - 3.02998i) q^{77} +(2.09341 + 2.62506i) q^{78} -2.54336 q^{79} +1.00000 q^{80} +(2.60077 + 3.26126i) q^{81} +(-2.36634 + 1.13957i) q^{82} +(2.54791 - 11.1631i) q^{83} +(-0.425974 - 1.86631i) q^{84} -6.48769 q^{85} +(6.54837 - 0.344751i) q^{86} -1.13590 q^{87} +(-0.614474 - 2.69218i) q^{88} +(2.54127 - 11.1340i) q^{89} +(-2.18665 + 1.05304i) q^{90} +(-6.99377 - 8.76991i) q^{91} -3.89692 q^{92} -0.173483 q^{93} +(0.791696 + 0.992755i) q^{94} +(2.31484 + 1.11477i) q^{95} +(0.471962 - 0.591822i) q^{96} +(7.50022 + 3.61192i) q^{97} +(-0.134534 - 0.589433i) q^{98} +(4.17860 + 5.23980i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9}+O(q^{10}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9} + 3 q^{10} + 5 q^{11} + 5 q^{12} + 22 q^{13} - 8 q^{14} - 2 q^{15} - 3 q^{16} + q^{17} + 13 q^{18} - 7 q^{19} - 3 q^{20} + 10 q^{21} - 5 q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 22 q^{26} + 20 q^{27} + q^{28} - 6 q^{29} + 2 q^{30} - 5 q^{31} + 3 q^{32} + 39 q^{33} - q^{34} - 13 q^{35} + 8 q^{36} - 18 q^{37} - 7 q^{39} + 3 q^{40} + 16 q^{41} + 4 q^{42} - 13 q^{43} - 2 q^{44} - 13 q^{45} - 8 q^{46} - 36 q^{47} - 2 q^{48} - 14 q^{49} - 18 q^{50} - 30 q^{51} - 20 q^{52} - 18 q^{53} + 29 q^{54} + 5 q^{55} + 13 q^{56} + 29 q^{57} - 8 q^{58} - 4 q^{59} - 2 q^{60} + 42 q^{61} - 2 q^{62} - 29 q^{63} - 3 q^{64} + 8 q^{65} + 24 q^{66} - 19 q^{67} + q^{68} - 51 q^{69} + 13 q^{70} - 27 q^{71} + 13 q^{72} + 28 q^{73} + 4 q^{74} - 2 q^{75} + 42 q^{77} - 35 q^{78} - 26 q^{79} + 18 q^{80} - 4 q^{81} + 19 q^{82} + 62 q^{83} + 10 q^{84} - 6 q^{85} - 15 q^{86} - 66 q^{87} - 5 q^{88} - 12 q^{89} + 6 q^{90} - 22 q^{91} - 20 q^{92} - 6 q^{93} - 6 q^{94} - 7 q^{95} + 2 q^{96} + 71 q^{97} - 28 q^{98} + 59 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9 + 3 * q^10 + 5 * q^11 + 5 * q^12 + 22 * q^13 - 8 * q^14 - 2 * q^15 - 3 * q^16 + q^17 + 13 * q^18 - 7 * q^19 - 3 * q^20 + 10 * q^21 - 5 * q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 22 * q^26 + 20 * q^27 + q^28 - 6 * q^29 + 2 * q^30 - 5 * q^31 + 3 * q^32 + 39 * q^33 - q^34 - 13 * q^35 + 8 * q^36 - 18 * q^37 - 7 * q^39 + 3 * q^40 + 16 * q^41 + 4 * q^42 - 13 * q^43 - 2 * q^44 - 13 * q^45 - 8 * q^46 - 36 * q^47 - 2 * q^48 - 14 * q^49 - 18 * q^50 - 30 * q^51 - 20 * q^52 - 18 * q^53 + 29 * q^54 + 5 * q^55 + 13 * q^56 + 29 * q^57 - 8 * q^58 - 4 * q^59 - 2 * q^60 + 42 * q^61 - 2 * q^62 - 29 * q^63 - 3 * q^64 + 8 * q^65 + 24 * q^66 - 19 * q^67 + q^68 - 51 * q^69 + 13 * q^70 - 27 * q^71 + 13 * q^72 + 28 * q^73 + 4 * q^74 - 2 * q^75 + 42 * q^77 - 35 * q^78 - 26 * q^79 + 18 * q^80 - 4 * q^81 + 19 * q^82 + 62 * q^83 + 10 * q^84 - 6 * q^85 - 15 * q^86 - 66 * q^87 - 5 * q^88 - 12 * q^89 + 6 * q^90 - 22 * q^91 - 20 * q^92 - 6 * q^93 - 6 * q^94 - 7 * q^95 + 2 * q^96 + 71 * q^97 - 28 * q^98 + 59 * q^99

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