LMFDB - Embedded newform 430.2.k.b.21.1

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} + 17 x^{16} - 43 x^{15} + 90 x^{14} - 114 x^{13} + 135 x^{12} + 2 x^{11} + 313 x^{10} + \cdots + 169 $ x^18 - 5x^17 + 17x^16 - 43x^15 + 90x^14 - 114x^13 + 135x^12 + 2x^11 + 313x^10 - 632x^9 + 2382x^8 - 1755x^7 + 2203x^6 - 3817x^5 + 4882x^4 - 4217x^3 + 2612x^2 - 871*x + 169
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			21.1
Root			$-0.767481 + 0.962391i$ of defining polynomial
Character	$\chi$	$=$	430.21
Dual form			430.2.k.b.41.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.900969 - 0.433884i) q^{2} +(-1.10904 + 0.534087i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.222521 + 0.974928i) q^{5} +1.23094 q^{6} -1.03973 q^{7} +(-0.222521 - 0.974928i) q^{8} +(-0.925743 + 1.16084i) q^{9} +O(q^{10})$	\(q+(-0.900969 - 0.433884i) q^{2} +(-1.10904 + 0.534087i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.222521 + 0.974928i) q^{5} +1.23094 q^{6} -1.03973 q^{7} +(-0.222521 - 0.974928i) q^{8} +(-0.925743 + 1.16084i) q^{9} +(0.222521 - 0.974928i) q^{10} +(-1.55546 + 1.95049i) q^{11} +(-1.10904 - 0.534087i) q^{12} +(-0.869579 - 3.80988i) q^{13} +(0.936768 + 0.451124i) q^{14} +(-0.767481 - 0.962391i) q^{15} +(-0.222521 + 0.974928i) q^{16} +(1.54183 - 6.75522i) q^{17} +(1.33774 - 0.644220i) q^{18} +(0.618157 + 0.775145i) q^{19} +(-0.623490 + 0.781831i) q^{20} +(1.15311 - 0.555308i) q^{21} +(2.24770 - 1.08244i) q^{22} +(-4.56515 + 5.72452i) q^{23} +(0.767481 + 0.962391i) q^{24} +(-0.900969 + 0.433884i) q^{25} +(-0.869579 + 3.80988i) q^{26} +(1.22843 - 5.38210i) q^{27} +(-0.648264 - 0.812897i) q^{28} +(-7.82234 - 3.76704i) q^{29} +(0.273911 + 1.20008i) q^{30} +(-3.37646 - 1.62602i) q^{31} +(0.623490 - 0.781831i) q^{32} +(0.683343 - 2.99392i) q^{33} +(-4.32012 + 5.41726i) q^{34} +(-0.231363 - 1.01367i) q^{35} -1.48478 q^{36} -6.39658 q^{37} +(-0.220618 - 0.966589i) q^{38} +(2.99920 + 3.76088i) q^{39} +(0.900969 - 0.433884i) q^{40} +(-3.05512 - 1.47127i) q^{41} -1.27985 q^{42} +(3.80429 - 5.34110i) q^{43} -2.49476 q^{44} +(-1.33774 - 0.644220i) q^{45} +(6.59684 - 3.17687i) q^{46} +(-2.22143 - 2.78559i) q^{47} +(-0.273911 - 1.20008i) q^{48} -5.91895 q^{49} +1.00000 q^{50} +(1.89791 + 8.31530i) q^{51} +(2.43651 - 3.05528i) q^{52} +(-2.49342 + 10.9244i) q^{53} +(-3.44198 + 4.31611i) q^{54} +(-2.24770 - 1.08244i) q^{55} +(0.231363 + 1.01367i) q^{56} +(-1.09956 - 0.529519i) q^{57} +(5.41323 + 6.78798i) q^{58} +(-3.16476 + 13.8657i) q^{59} +(0.273911 - 1.20008i) q^{60} +(8.48934 - 4.08825i) q^{61} +(2.33658 + 2.92998i) q^{62} +(0.962526 - 1.20697i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(3.52085 - 1.69555i) q^{65} +(-1.91468 + 2.40094i) q^{66} +(-5.32721 - 6.68011i) q^{67} +(6.24276 - 3.00635i) q^{68} +(2.00556 - 8.78692i) q^{69} +(-0.231363 + 1.01367i) q^{70} +(4.35320 + 5.45874i) q^{71} +(1.33774 + 0.644220i) q^{72} +(-1.23160 - 5.39599i) q^{73} +(5.76312 + 2.77537i) q^{74} +(0.767481 - 0.962391i) q^{75} +(-0.220618 + 0.966589i) q^{76} +(1.61726 - 2.02799i) q^{77} +(-1.07040 - 4.68974i) q^{78} +15.4220 q^{79} -1.00000 q^{80} +(0.520946 + 2.28242i) q^{81} +(2.11421 + 2.65113i) q^{82} +(-11.3508 + 5.46628i) q^{83} +(1.15311 + 0.555308i) q^{84} +6.92894 q^{85} +(-5.74497 + 3.16154i) q^{86} +10.6872 q^{87} +(2.24770 + 1.08244i) q^{88} +(13.8004 - 6.64594i) q^{89} +(0.925743 + 1.16084i) q^{90} +(0.904131 + 3.96126i) q^{91} -7.32194 q^{92} +4.61307 q^{93} +(0.792820 + 3.47357i) q^{94} +(-0.618157 + 0.775145i) q^{95} +(-0.273911 + 1.20008i) q^{96} +(7.72426 - 9.68591i) q^{97} +(5.33279 + 2.56814i) q^{98} +(-0.824254 - 3.61129i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9} + 3 q^{10} + 9 q^{11} + 2 q^{12} + 4 q^{13} + 13 q^{14} + 5 q^{15} - 3 q^{16} - q^{17} + 7 q^{18} - 2 q^{19} + 3 q^{20} - 2 q^{21} - 12 q^{22} - 19 q^{23} - 5 q^{24} - 3 q^{25} + 4 q^{26} + 17 q^{27} - q^{28} - 4 q^{29} - 2 q^{30} - 13 q^{31} - 3 q^{32} - 42 q^{33} - 8 q^{34} + 15 q^{35} + 2 q^{37} + 12 q^{38} - 39 q^{39} + 3 q^{40} - 4 q^{41} - 2 q^{42} - 13 q^{43} - 12 q^{44} - 7 q^{45} + 16 q^{46} + 16 q^{47} + 2 q^{48} + 4 q^{49} + 18 q^{50} + 7 q^{51} - 10 q^{52} + 14 q^{53} - 4 q^{54} + 12 q^{55} - 15 q^{56} + 45 q^{57} + 24 q^{58} - 16 q^{59} - 2 q^{60} + 24 q^{61} + 50 q^{62} - 33 q^{63} - 3 q^{64} - 4 q^{65} + 5 q^{67} + 13 q^{68} + 4 q^{69} + 15 q^{70} - 3 q^{71} + 7 q^{72} - 22 q^{73} - 12 q^{74} - 5 q^{75} + 12 q^{76} - 24 q^{77} + 31 q^{78} - 38 q^{79} - 18 q^{80} + 22 q^{81} - 11 q^{82} - 26 q^{83} - 2 q^{84} + 8 q^{85} - 41 q^{86} - 22 q^{87} - 12 q^{88} + 52 q^{89} + 7 q^{90} - 14 q^{91} + 2 q^{92} - 6 q^{93} + 2 q^{94} + 2 q^{95} + 2 q^{96} + 27 q^{97} + 32 q^{98} + 36 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9 + 3 * q^10 + 9 * q^11 + 2 * q^12 + 4 * q^13 + 13 * q^14 + 5 * q^15 - 3 * q^16 - q^17 + 7 * q^18 - 2 * q^19 + 3 * q^20 - 2 * q^21 - 12 * q^22 - 19 * q^23 - 5 * q^24 - 3 * q^25 + 4 * q^26 + 17 * q^27 - q^28 - 4 * q^29 - 2 * q^30 - 13 * q^31 - 3 * q^32 - 42 * q^33 - 8 * q^34 + 15 * q^35 + 2 * q^37 + 12 * q^38 - 39 * q^39 + 3 * q^40 - 4 * q^41 - 2 * q^42 - 13 * q^43 - 12 * q^44 - 7 * q^45 + 16 * q^46 + 16 * q^47 + 2 * q^48 + 4 * q^49 + 18 * q^50 + 7 * q^51 - 10 * q^52 + 14 * q^53 - 4 * q^54 + 12 * q^55 - 15 * q^56 + 45 * q^57 + 24 * q^58 - 16 * q^59 - 2 * q^60 + 24 * q^61 + 50 * q^62 - 33 * q^63 - 3 * q^64 - 4 * q^65 + 5 * q^67 + 13 * q^68 + 4 * q^69 + 15 * q^70 - 3 * q^71 + 7 * q^72 - 22 * q^73 - 12 * q^74 - 5 * q^75 + 12 * q^76 - 24 * q^77 + 31 * q^78 - 38 * q^79 - 18 * q^80 + 22 * q^81 - 11 * q^82 - 26 * q^83 - 2 * q^84 + 8 * q^85 - 41 * q^86 - 22 * q^87 - 12 * q^88 + 52 * q^89 + 7 * q^90 - 14 * q^91 + 2 * q^92 - 6 * q^93 + 2 * q^94 + 2 * q^95 + 2 * q^96 + 27 * q^97 + 32 * q^98 + 36 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{6}{7}\right)$

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 $

$2$	−0.900969	−	0.433884i	−0.637081	−	0.306802i
$2$	−0.900969	−	0.433884i	−0.637081	−	0.306802i
$3$	−1.10904	+	0.534087i	−0.640306	+	0.308355i	−0.725720	−	0.687990i	$-0.758493\pi$
$3$	−1.10904	+	0.534087i	−0.640306	+	0.308355i	0.0854137	+	0.996346i	$0.472779\pi$
$4$	0.623490	+	0.781831i	0.311745	+	0.390916i
$5$	0.222521	+	0.974928i	0.0995144	+	0.436001i
$5$	0.222521	+	0.974928i	0.0995144	+	0.436001i
$6$	1.23094			0.502531
$7$	−1.03973			−0.392983			−0.196491	−	0.980506i	$-0.562955\pi$
$7$	−1.03973			−0.392983			−0.196491	+	0.980506i	$0.562955\pi$
$8$	−0.222521	−	0.974928i	−0.0786730	−	0.344689i
$9$	−0.925743	+	1.16084i	−0.308581	+	0.386948i
$10$	0.222521	−	0.974928i	0.0703673	−	0.308299i
$11$	−1.55546	+	1.95049i	−0.468989	+	0.588093i	−0.958923	−	0.283666i	$-0.908449\pi$
$11$	−1.55546	+	1.95049i	−0.468989	+	0.588093i	0.489934	+	0.871759i	$0.337021\pi$
$12$	−1.10904	−	0.534087i	−0.320153	−	0.154178i
$13$	−0.869579	−	3.80988i	−0.241178	−	1.05667i	−0.939947	−	0.341322i	$-0.889125\pi$
$13$	−0.869579	−	3.80988i	−0.241178	−	1.05667i	0.698769	−	0.715348i	$-0.253732\pi$
$14$	0.936768	+	0.451124i	0.250362	+	0.120568i
$15$	−0.767481	−	0.962391i	−0.198163	−	0.248488i
$16$	−0.222521	+	0.974928i	−0.0556302	+	0.243732i
$17$	1.54183	−	6.75522i	0.373950	−	1.63838i	−0.341619	−	0.939839i	$-0.610975\pi$
$17$	1.54183	−	6.75522i	0.373950	−	1.63838i	0.715569	−	0.698542i	$-0.246168\pi$
$18$	1.33774	−	0.644220i	0.315308	−	0.151844i
$19$	0.618157	+	0.775145i	0.141815	+	0.177830i	0.847666	−	0.530529i	$-0.178007\pi$
$19$	0.618157	+	0.775145i	0.141815	+	0.177830i	−0.705852	+	0.708360i	$0.749435\pi$
$20$	−0.623490	+	0.781831i	−0.139417	+	0.174823i
$21$	1.15311	−	0.555308i	0.251629	−	0.121178i
$22$	2.24770	−	1.08244i	0.479212	−	0.230776i
$23$	−4.56515	+	5.72452i	−0.951900	+	1.19364i	0.0290881	+	0.999577i	$0.490740\pi$
$23$	−4.56515	+	5.72452i	−0.951900	+	1.19364i	−0.980988	+	0.194068i	$0.937832\pi$
$24$	0.767481	+	0.962391i	0.156661	+	0.196447i
$25$	−0.900969	+	0.433884i	−0.180194	+	0.0867767i
$26$	−0.869579	+	3.80988i	−0.170539	+	0.747178i
$27$	1.22843	−	5.38210i	0.236411	−	1.03579i
$28$	−0.648264	−	0.812897i	−0.122510	−	0.153623i
$29$	−7.82234	−	3.76704i	−1.45257	−	0.699522i	−0.469533	−	0.882915i	$-0.655578\pi$
$29$	−7.82234	−	3.76704i	−1.45257	−	0.699522i	−0.983040	+	0.183393i	$0.941292\pi$
$30$	0.273911	+	1.20008i	0.0500091	+	0.219104i
$31$	−3.37646	−	1.62602i	−0.606430	−	0.292041i	0.105360	−	0.994434i	$-0.466401\pi$
$31$	−3.37646	−	1.62602i	−0.606430	−	0.292041i	−0.711789	+	0.702393i	$0.752115\pi$
$32$	0.623490	−	0.781831i	0.110218	−	0.138210i
$33$	0.683343	−	2.99392i	0.118955	−	0.521175i
$34$	−4.32012	+	5.41726i	−0.740895	+	0.929053i
$35$	−0.231363	−	1.01367i	−0.0391074	−	0.171341i
$36$	−1.48478			−0.247463
$37$	−6.39658			−1.05159			−0.525796	−	0.850611i	$-0.676232\pi$
$37$	−6.39658			−1.05159			−0.525796	+	0.850611i	$0.676232\pi$
$38$	−0.220618	−	0.966589i	−0.0357889	−	0.156802i
$39$	2.99920	+	3.76088i	0.480257	+	0.602223i
$40$	0.900969	−	0.433884i	0.142456	−	0.0686030i
$41$	−3.05512	−	1.47127i	−0.477129	−	0.229773i	0.179833	−	0.983697i	$-0.442444\pi$
$41$	−3.05512	−	1.47127i	−0.477129	−	0.229773i	−0.656962	+	0.753924i	$0.728159\pi$
$42$	−1.27985			−0.197486
$43$	3.80429	−	5.34110i	0.580149	−	0.814510i
$43$	3.80429	−	5.34110i	0.580149	−	0.814510i
$44$	−2.49476			−0.376100
$45$	−1.33774	−	0.644220i	−0.199418	−	0.0960347i
$46$	6.59684	−	3.17687i	0.972650	−	0.468404i
$47$	−2.22143	−	2.78559i	−0.324029	−	0.406320i	0.592960	−	0.805232i	$-0.297959\pi$
$47$	−2.22143	−	2.78559i	−0.324029	−	0.406320i	−0.916989	+	0.398912i	$0.869388\pi$
$48$	−0.273911	−	1.20008i	−0.0395356	−	0.173217i
$49$	−5.91895			−0.845565
$50$	1.00000			0.141421
$51$	1.89791	+	8.31530i	0.265761	+	1.16437i
$52$	2.43651	−	3.05528i	0.337883	−	0.423691i
$53$	−2.49342	+	10.9244i	−0.342498	+	1.50058i	0.451285	+	0.892380i	$0.350966\pi$
$53$	−2.49342	+	10.9244i	−0.342498	+	1.50058i	−0.793783	+	0.608202i	$0.791891\pi$
$54$	−3.44198	+	4.31611i	−0.468394	+	0.587348i
$55$	−2.24770	−	1.08244i	−0.303080	−	0.145956i
$56$	0.231363	+	1.01367i	0.0309171	+	0.135457i
$57$	−1.09956	−	0.529519i	−0.145640	−	0.0701365i
$58$	5.41323	+	6.78798i	0.710792	+	0.891305i
$59$	−3.16476	+	13.8657i	−0.412017	+	1.80517i	0.162542	+	0.986702i	$0.448031\pi$
$59$	−3.16476	+	13.8657i	−0.412017	+	1.80517i	−0.574559	+	0.818463i	$0.694826\pi$
$60$	0.273911	−	1.20008i	0.0353617	−	0.154930i
$61$	8.48934	−	4.08825i	1.08695	−	0.523447i	0.197417	−	0.980320i	$-0.436745\pi$
$61$	8.48934	−	4.08825i	1.08695	−	0.523447i	0.889532	+	0.456872i	$0.151030\pi$
$62$	2.33658	+	2.92998i	0.296746	+	0.372108i
$63$	0.962526	−	1.20697i	0.121267	−	0.152064i
$64$	−0.900969	+	0.433884i	−0.112621	+	0.0542355i
$65$	3.52085	−	1.69555i	0.436708	−	0.210308i
$66$	−1.91468	+	2.40094i	−0.235681	+	0.295535i
$67$	−5.32721	−	6.68011i	−0.650822	−	0.816105i	0.341487	−	0.939886i	$-0.389069\pi$
$67$	−5.32721	−	6.68011i	−0.650822	−	0.816105i	−0.992310	+	0.123781i	$0.960498\pi$
$68$	6.24276	−	3.00635i	0.757046	−	0.364574i
$69$	2.00556	−	8.78692i	0.241441	−	1.05782i
$70$	−0.231363	+	1.01367i	−0.0276531	+	0.121156i
$71$	4.35320	+	5.45874i	0.516630	+	0.647833i	0.969890	−	0.243545i	$-0.0783104\pi$
$71$	4.35320	+	5.45874i	0.516630	+	0.647833i	−0.453260	+	0.891379i	$0.649739\pi$
$72$	1.33774	+	0.644220i	0.157654	+	0.0759221i
$73$	−1.23160	−	5.39599i	−0.144148	−	0.631553i	−0.994446	−	0.105251i	$-0.966435\pi$
$73$	−1.23160	−	5.39599i	−0.144148	−	0.631553i	0.850298	−	0.526302i	$-0.176422\pi$
$74$	5.76312	+	2.77537i	0.669949	+	0.322631i
$75$	0.767481	−	0.962391i	0.0886211	−	0.111127i
$76$	−0.220618	+	0.966589i	−0.0253066	+	0.110875i
$77$	1.61726	−	2.02799i	0.184304	−	0.231110i
$78$	−1.07040	−	4.68974i	−0.121199	−	0.531009i
$79$	15.4220			1.73510			0.867552	−	0.497346i	$-0.165692\pi$
$79$	15.4220			1.73510			0.867552	+	0.497346i	$0.165692\pi$
$80$	−1.00000			−0.111803
$81$	0.520946	+	2.28242i	0.0578829	+	0.253602i
$82$	2.11421	+	2.65113i	0.233475	+	0.292768i
$83$	−11.3508	+	5.46628i	−1.24592	+	0.600002i	−0.936414	−	0.350897i	$-0.885877\pi$
$83$	−11.3508	+	5.46628i	−1.24592	+	0.600002i	−0.309503	+	0.950899i	$0.600163\pi$
$84$	1.15311	+	0.555308i	0.125815	+	0.0605891i
$85$	6.92894			0.751549
$86$	−5.74497	+	3.16154i	−0.619496	+	0.340918i
$87$	10.6872			1.14579
$88$	2.24770	+	1.08244i	0.239606	+	0.115388i
$89$	13.8004	−	6.64594i	1.46284	−	0.704469i	0.478072	−	0.878320i	$-0.341336\pi$
$89$	13.8004	−	6.64594i	1.46284	−	0.704469i	0.984772	+	0.173852i	$0.0556214\pi$
$90$	0.925743	+	1.16084i	0.0975819	+	0.122364i
$91$	0.904131	+	3.96126i	0.0947787	+	0.415253i
$92$	−7.32194			−0.763365
$93$	4.61307			0.478353
$94$	0.792820	+	3.47357i	0.0817731	+	0.358271i
$95$	−0.618157	+	0.775145i	−0.0634216	+	0.0795282i
$96$	−0.273911	+	1.20008i	−0.0279559	+	0.122483i
$97$	7.72426	−	9.68591i	0.784279	−	0.983455i	−0.215696	−	0.976461i	$-0.569202\pi$
$97$	7.72426	−	9.68591i	0.784279	−	0.983455i	0.999976	−	0.00699465i	$-0.00222648\pi$
$98$	5.33279	+	2.56814i	0.538693	+	0.259421i
$99$	−0.824254	−	3.61129i	−0.0828407	−	0.362949i
$100$	−0.900969	−	0.433884i	−0.0900969	−	0.0433884i
$101$	−2.05709	−	2.57951i	−0.204688	−	0.256671i	0.668882	−	0.743368i	$-0.266773\pi$
$101$	−2.05709	−	2.57951i	−0.204688	−	0.256671i	−0.873571	+	0.486697i	$0.838202\pi$
$102$	1.89791	−	8.31530i	0.187921	−	0.823337i
$103$	−3.47888	+	15.2420i	−0.342784	+	1.50183i	0.450386	+	0.892834i	$0.351286\pi$
$103$	−3.47888	+	15.2420i	−0.342784	+	1.50183i	−0.793170	+	0.609000i	$0.791571\pi$
$104$	−3.52085	+	1.69555i	−0.345248	+	0.166263i
$105$	0.797976	+	1.00063i	0.0778745	+	0.0976516i
$106$	6.98642	−	8.76069i	0.678581	−	0.850913i
$107$	−2.57166	+	1.23844i	−0.248611	+	0.119725i	−0.554040	−	0.832490i	$-0.686915\pi$
$107$	−2.57166	+	1.23844i	−0.248611	+	0.119725i	0.305429	+	0.952215i	$0.401200\pi$
$108$	4.97381	−	2.39526i	0.478605	−	0.230484i
$109$	4.41174	−	5.53215i	0.422568	−	0.529884i	−0.524288	−	0.851541i	$-0.675668\pi$
$109$	4.41174	−	5.53215i	0.422568	−	0.529884i	0.946856	+	0.321657i	$0.104240\pi$
$110$	1.55546	+	1.95049i	0.148307	+	0.185971i
$111$	7.09408	−	3.41633i	0.673341	−	0.324264i
$112$	0.231363	−	1.01367i	0.0218617	−	0.0957824i
$113$	−3.46557	+	15.1836i	−0.326013	+	1.42836i	0.500646	+	0.865652i	$0.333096\pi$
$113$	−3.46557	+	15.1836i	−0.326013	+	1.42836i	−0.826659	+	0.562704i	$0.809761\pi$
$114$	0.760917	+	0.954160i	0.0712664	+	0.0893653i
$115$	−6.59684	−	3.17687i	−0.615158	−	0.296245i
$116$	−1.93196	−	8.46447i	−0.179378	−	0.785906i
$117$	5.22768	+	2.51752i	0.483299	+	0.232745i
$118$	8.86747	−	11.1195i	0.816317	−	1.02363i
$119$	−1.60310	+	7.02363i	−0.146956	+	0.643855i
$120$	−0.767481	+	0.962391i	−0.0700611	+	0.0878539i
$121$	1.06279	+	4.65640i	0.0966176	+	0.423310i
$122$	−9.42246			−0.853070
$123$	4.17404			0.376360
$124$	−0.833916	−	3.65362i	−0.0748879	−	0.328105i
$125$	−0.623490	−	0.781831i	−0.0557666	−	0.0699291i
$126$	−1.39089	+	0.669818i	−0.123910	+	0.0596721i
$127$	−1.35379	−	0.651949i	−0.120129	−	0.0578511i	0.372854	−	0.927890i	$-0.378379\pi$
$127$	−1.35379	−	0.651949i	−0.120129	−	0.0578511i	−0.492983	+	0.870039i	$0.664094\pi$
$128$	1.00000			0.0883883
$129$	−1.36651	+	7.95533i	−0.120315	+	0.700428i
$130$	−3.90785			−0.342741
$131$	−10.5672	−	5.08891i	−0.923263	−	0.444620i	−0.0890281	−	0.996029i	$-0.528376\pi$
$131$	−10.5672	−	5.08891i	−0.923263	−	0.444620i	−0.834235	+	0.551409i	$0.814090\pi$
$132$	2.76680	−	1.33242i	0.240819	−	0.115972i
$133$	−0.642719	−	0.805944i	−0.0557308	−	0.0698842i
$134$	1.90126	+	8.32996i	0.164244	+	0.719599i
$135$	5.52051			0.475130
$136$	−6.92894			−0.594152
$137$	−0.921056	−	4.03541i	−0.0786912	−	0.344769i	0.920221	−	0.391399i	$-0.128009\pi$
$137$	−0.921056	−	4.03541i	−0.0786912	−	0.344769i	−0.998912	+	0.0466306i	$0.985152\pi$
$138$	−5.61945	+	7.04656i	−0.478359	+	0.599843i
$139$	−1.42745	+	6.25405i	−0.121074	+	0.530462i	0.877619	+	0.479359i	$0.159131\pi$
$139$	−1.42745	+	6.25405i	−0.121074	+	0.530462i	−0.998693	+	0.0511028i	$0.983726\pi$
$140$	0.648264	−	0.812897i	0.0547883	−	0.0687023i
$141$	3.95141	+	1.90290i	0.332769	+	0.160253i
$142$	−1.55364	−	6.80694i	−0.130379	−	0.571226i
$143$	8.78370	+	4.23001i	0.734530	+	0.353731i
$144$	−0.925743	−	1.16084i	−0.0771452	−	0.0967371i
$145$	1.93196	−	8.46447i	0.160440	−	0.702936i
$146$	−1.23160	+	5.39599i	−0.101928	+	0.446575i
$147$	6.56437	−	3.16123i	0.541420	−	0.260734i
$148$	−3.98820	−	5.00105i	−0.327828	−	0.411084i
$149$	−2.47270	+	3.10066i	−0.202571	+	0.254016i	−0.872732	−	0.488200i	$-0.837654\pi$
$149$	−2.47270	+	3.10066i	−0.202571	+	0.254016i	0.670161	+	0.742216i	$0.266225\pi$
$150$	−1.10904	+	0.534087i	−0.0905529	+	0.0436080i
$151$	−9.98059	+	4.80640i	−0.812209	+	0.391139i	−0.793413	−	0.608684i	$-0.791698\pi$
$151$	−9.98059	+	4.80640i	−0.812209	+	0.391139i	−0.0187963	+	0.999823i	$0.505983\pi$
$152$	0.618157	−	0.775145i	0.0501392	−	0.0628725i
$153$	6.41442	+	8.04342i	0.518575	+	0.650272i
$154$	−2.33702	+	1.12545i	−0.188322	+	0.0906911i
$155$	0.833916	−	3.65362i	0.0669817	−	0.293466i
$156$	−1.07040	+	4.68974i	−0.0857009	+	0.375480i
$157$	−4.54985	−	5.70533i	−0.363117	−	0.455335i	0.566391	−	0.824137i	$-0.308339\pi$
$157$	−4.54985	−	5.70533i	−0.363117	−	0.455335i	−0.929508	+	0.368802i	$0.879768\pi$
$158$	−13.8947	−	6.69133i	−1.10540	−	0.532334i
$159$	−3.06926	−	13.4473i	−0.243409	−	1.06644i
$160$	0.900969	+	0.433884i	0.0712278	+	0.0343015i
$161$	4.74654	−	5.95198i	0.374080	−	0.469082i
$162$	0.520946	−	2.28242i	0.0409294	−	0.179323i
$163$	−4.65635	+	5.83887i	−0.364713	+	0.457336i	−0.930001	−	0.367558i	$-0.880194\pi$
$163$	−4.65635	+	5.83887i	−0.364713	+	0.457336i	0.565287	+	0.824894i	$0.308765\pi$
$164$	−0.754551	−	3.30590i	−0.0589205	−	0.258148i
$165$	3.07092			0.239070
$166$	12.5985			0.977832
$167$	3.38664	+	14.8378i	0.262066	+	1.14819i	0.919006	+	0.394243i	$0.128993\pi$
$167$	3.38664	+	14.8378i	0.262066	+	1.14819i	−0.656941	+	0.753942i	$0.728150\pi$
$168$	−0.797976	−	1.00063i	−0.0615652	−	0.0772003i
$169$	−2.04639	+	0.985488i	−0.157414	+	0.0758068i
$170$	−6.24276	−	3.00635i	−0.478798	−	0.230577i
$171$	−1.47208			−0.112573
$172$	6.54778	−	0.355805i	0.499263	−	0.0271299i
$173$	3.18417			0.242088			0.121044	−	0.992647i	$-0.461376\pi$
$173$	3.18417			0.242088			0.121044	+	0.992647i	$0.461376\pi$
$174$	−9.62887	−	4.63702i	−0.729963	−	0.351532i
$175$	0.936768	−	0.451124i	0.0708130	−	0.0341018i
$176$	−1.55546	−	1.95049i	−0.117247	−	0.147023i
$177$	−3.89565	−	17.0679i	−0.292815	−	1.28291i
$178$	−15.3173			−1.14808
$179$	5.71850			0.427421			0.213710	−	0.976897i	$-0.431445\pi$
$179$	5.71850			0.427421			0.213710	+	0.976897i	$0.431445\pi$
$180$	−0.330394	−	1.44755i	−0.0246261	−	0.107894i
$181$	−7.77831	+	9.75369i	−0.578157	+	0.724986i	−0.981797	−	0.189932i	$-0.939173\pi$
$181$	−7.77831	+	9.75369i	−0.578157	+	0.724986i	0.403640	+	0.914918i	$0.367745\pi$
$182$	0.904131	−	3.96126i	0.0670187	−	0.293628i
$183$	−7.23156	+	9.06809i	−0.534572	+	0.670333i
$184$	6.59684	+	3.17687i	0.486325	+	0.234202i
$185$	−1.42337	−	6.23621i	−0.104649	−	0.458495i
$186$	−4.15623	−	2.00154i	−0.304750	−	0.146760i
$187$	10.7777	+	13.5148i	0.788143	+	0.988300i
$188$	0.792820	−	3.47357i	0.0578223	−	0.253336i
$189$	−1.27724	+	5.59595i	−0.0929055	+	0.407046i
$190$	0.893263	−	0.430173i	0.0648041	−	0.0312080i
$191$	−5.79012	−	7.26058i	−0.418958	−	0.525357i	0.526904	−	0.849925i	$-0.323353\pi$
$191$	−5.79012	−	7.26058i	−0.418958	−	0.525357i	−0.945862	+	0.324568i	$0.894781\pi$
$192$	0.767481	−	0.962391i	0.0553882	−	0.0694546i
$193$	−2.26277	+	1.08969i	−0.162878	+	0.0784377i	−0.513546	−	0.858062i	$-0.671669\pi$
$193$	−2.26277	+	1.08969i	−0.162878	+	0.0784377i	0.350669	+	0.936500i	$0.385954\pi$
$194$	−11.1619	+	5.37527i	−0.801376	+	0.385922i
$195$	−2.99920	+	3.76088i	−0.214777	+	0.269322i
$196$	−3.69041	−	4.62762i	−0.263600	−	0.330545i
$197$	−18.0059	+	8.67116i	−1.28286	+	0.617795i	−0.946125	−	0.323803i	$-0.895039\pi$
$197$	−18.0059	+	8.67116i	−1.28286	+	0.617795i	−0.336740	+	0.941598i	$0.609324\pi$
$198$	−0.824254	+	3.61129i	−0.0585772	+	0.256644i
$199$	1.92486	−	8.43334i	0.136449	−	0.597824i	−0.859749	−	0.510716i	$-0.829380\pi$
$199$	1.92486	−	8.43334i	0.136449	−	0.597824i	0.996199	−	0.0871079i	$-0.0277625\pi$
$200$	0.623490	+	0.781831i	0.0440874	+	0.0552838i
$201$	9.47586	+	4.56333i	0.668375	+	0.321873i
$202$	0.734168	+	3.21660i	0.0516558	+	0.226319i
$203$	8.13316	+	3.91672i	0.570836	+	0.274900i
$204$	−5.31783	+	6.66835i	−0.372323	+	0.466878i
$205$	0.754551	−	3.30590i	0.0527001	−	0.230894i
$206$	9.74759	−	12.2231i	0.679147	−	0.851623i
$207$	−2.41912	−	10.5989i	−0.168141	−	0.736672i
$208$	3.90785			0.270961
$209$	−2.47343			−0.171090
$210$	−0.284795	−	1.24777i	−0.0196527	−	0.0861041i
$211$	0.191385	+	0.239990i	0.0131755	+	0.0165216i	0.788376	−	0.615194i	$-0.210922\pi$
$211$	0.191385	+	0.239990i	0.0131755	+	0.0165216i	−0.775200	+	0.631716i	$0.782351\pi$
$212$	−10.0957	+	4.86181i	−0.693373	+	0.333911i
$213$	−7.74333	−	3.72899i	−0.530564	−	0.255506i
$214$	2.85432			0.195118
$215$	6.05372	+	2.52041i	0.412860	+	0.171890i
$216$	−5.52051			−0.375623
$217$	3.51062	+	1.69062i	0.238316	+	0.114767i
$218$	−6.37515	+	3.07011i	−0.431780	+	0.207934i
$219$	4.24782	+	5.32660i	0.287041	+	0.359938i
$220$	−0.555137	−	2.43222i	−0.0374273	−	0.163980i
$221$	−27.0773			−1.82142
$222$	−7.87384			−0.528457
$223$	0.424087	+	1.85805i	0.0283990	+	0.124424i	0.987140	−	0.159855i	$-0.0511028\pi$
$223$	0.424087	+	1.85805i	0.0283990	+	0.124424i	−0.958741	+	0.284279i	$0.908246\pi$
$224$	−0.648264	+	0.812897i	−0.0433139	+	0.0543140i
$225$	0.330394	−	1.44755i	0.0220263	−	0.0965033i
$226$	9.71030	−	12.1763i	0.645919	−	0.809957i
$227$	−10.5272	−	5.06963i	−0.698714	−	0.336483i	0.0505802	−	0.998720i	$-0.483893\pi$
$227$	−10.5272	−	5.06963i	−0.698714	−	0.336483i	−0.749294	+	0.662237i	$0.769607\pi$
$228$	−0.271568	−	1.18982i	−0.0179850	−	0.0787976i
$229$	5.48214	+	2.64006i	0.362270	+	0.174460i	0.606160	−	0.795343i	$-0.292709\pi$
$229$	5.48214	+	2.64006i	0.362270	+	0.174460i	−0.243890	+	0.969803i	$0.578424\pi$
$230$	4.56515	+	5.72452i	0.301017	+	0.377464i
$231$	−0.710495	+	3.11288i	−0.0467471	+	0.204813i
$232$	−1.93196	+	8.46447i	−0.126839	+	0.555720i
$233$	−10.0857	+	4.85700i	−0.660734	+	0.318193i	−0.734029	−	0.679118i	$-0.762363\pi$
$233$	−10.0857	+	4.85700i	−0.660734	+	0.318193i	0.0732957	+	0.997310i	$0.476648\pi$
$234$	−3.61767	−	4.53641i	−0.236494	−	0.296554i
$235$	2.22143	−	2.78559i	0.144910	−	0.181712i
$236$	−12.8139	+	6.17083i	−0.834112	+	0.401687i
$237$	−17.1036	+	8.23666i	−1.11100	+	0.535028i
$238$	4.49178	−	5.63251i	0.291159	−	0.365102i
$239$	−6.53960	−	8.20041i	−0.423012	−	0.530440i	0.523966	−	0.851739i	$-0.324452\pi$
$239$	−6.53960	−	8.20041i	−0.423012	−	0.530440i	−0.946978	+	0.321299i	$0.895881\pi$
$240$	1.10904	−	0.534087i	0.0715884	−	0.0344751i
$241$	−0.171693	+	0.752234i	−0.0110597	+	0.0484557i	−0.980157	−	0.198224i	$-0.936483\pi$
$241$	−0.171693	+	0.752234i	−0.0110597	+	0.0484557i	0.969097	+	0.246680i	$0.0793397\pi$
$242$	1.06279	−	4.65640i	0.0683190	−	0.299325i
$243$	8.52919	+	10.6953i	0.547147	+	0.686101i
$244$	8.48934	+	4.08825i	0.543475	+	0.261724i
$245$	−1.31709	−	5.77055i	−0.0841459	−	0.368667i
$246$	−3.76068	−	1.81105i	−0.239772	−	0.115468i
$247$	2.41567	−	3.02915i	0.153705	−	0.192740i
$248$	−0.833916	+	3.65362i	−0.0529537	+	0.232005i
$249$	9.66910	−	12.1247i	0.612754	−	0.768370i
$250$	0.222521	+	0.974928i	0.0140735	+	0.0616599i
$251$	−14.9158			−0.941478			−0.470739	−	0.882273i	$-0.656013\pi$
$251$	−14.9158			−0.941478			−0.470739	+	0.882273i	$0.656013\pi$
$252$	1.54377			0.0972485
$253$	−4.06468	−	17.8085i	−0.255544	−	1.11961i
$254$	0.936848	+	1.17477i	0.0587831	+	0.0737117i
$255$	−7.68449	+	3.70066i	−0.481221	+	0.231744i
$256$	−0.900969	−	0.433884i	−0.0563106	−	0.0271177i
$257$	30.9105			1.92814			0.964071	−	0.265644i	$-0.0855846\pi$
$257$	30.9105			1.92814			0.964071	+	0.265644i	$0.0855846\pi$
$258$	4.68287	−	6.57460i	0.291543	−	0.409317i
$259$	6.65075			0.413257
$260$	3.52085	+	1.69555i	0.218354	+	0.105154i
$261$	11.6144	−	5.59321i	0.718915	−	0.346211i
$262$	7.31275	+	9.16990i	0.451783	+	0.566518i
$263$	−5.86261	−	25.6858i	−0.361504	−	1.58385i	−0.749380	−	0.662140i	$-0.769648\pi$
$263$	−5.86261	−	25.6858i	−0.361504	−	1.58385i	0.387876	−	0.921711i	$-0.373209\pi$
$264$	−3.07092			−0.189002
$265$	−11.2053			−0.688339
$266$	0.229384	+	1.00500i	0.0140644	+	0.0616203i
$267$	−11.7558	+	14.7413i	−0.719441	+	0.902151i
$268$	1.90126	−	8.32996i	0.116138	−	0.508833i
$269$	−12.4774	+	15.6461i	−0.760759	+	0.953962i	−0.999855	−	0.0170338i	$-0.994578\pi$
$269$	−12.4774	+	15.6461i	−0.760759	+	0.953962i	0.239095	+	0.970996i	$0.423149\pi$
$270$	−4.97381	−	2.39526i	−0.302696	−	0.145771i
$271$	3.07169	+	13.4580i	0.186592	+	0.817513i	0.978396	+	0.206738i	$0.0662848\pi$
$271$	3.07169	+	13.4580i	0.186592	+	0.817513i	−0.791804	+	0.610775i	$0.790858\pi$
$272$	6.24276	+	3.00635i	0.378523	+	0.182287i
$273$	−3.11838	−	3.91032i	−0.188733	−	0.236663i
$274$	−0.921056	+	4.03541i	−0.0556431	+	0.243788i
$275$	0.555137	−	2.43222i	0.0334760	−	0.146668i
$276$	8.12034	−	3.91055i	0.488787	−	0.235387i
$277$	10.2220	+	12.8180i	0.614179	+	0.770156i	0.987512	−	0.157541i	$-0.0503566\pi$
$277$	10.2220	+	12.8180i	0.614179	+	0.770156i	−0.373333	+	0.927697i	$0.621785\pi$
$278$	3.99962	−	5.01536i	0.239881	−	0.300801i
$279$	5.01328	−	2.41427i	0.300137	−	0.144539i
$280$	−0.936768	+	0.451124i	−0.0559826	+	0.0269598i
$281$	15.7486	−	19.7482i	0.939484	−	1.17808i	−0.0443537	−	0.999016i	$-0.514123\pi$
$281$	15.7486	−	19.7482i	0.939484	−	1.17808i	0.983838	−	0.179060i	$-0.0573057\pi$
$282$	−2.73446	−	3.42890i	−0.162835	−	0.204188i
$283$	0.720821	−	0.347129i	0.0428484	−	0.0206347i	−0.412337	−	0.911031i	$-0.635287\pi$
$283$	0.720821	−	0.347129i	0.0428484	−	0.0206347i	0.455185	+	0.890397i	$0.349573\pi$
$284$	−1.55364	+	6.80694i	−0.0921915	+	0.403918i
$285$	0.271568	−	1.18982i	0.0160863	−	0.0704787i
$286$	−6.07851	−	7.62221i	−0.359430	−	0.450711i
$287$	3.17651	+	1.52973i	0.187503	+	0.0902968i
$288$	0.330394	+	1.44755i	0.0194686	+	0.0852977i
$289$	−27.9392	−	13.4548i	−1.64348	−	0.791461i
$290$	−5.41323	+	6.78798i	−0.317876	+	0.398604i
$291$	−3.39341	+	14.8675i	−0.198925	+	0.871549i
$292$	3.45086	−	4.32725i	0.201947	−	0.253233i
$293$	−1.99924	−	8.75925i	−0.116797	−	0.511721i	−0.999153	−	0.0411392i	$-0.986901\pi$
$293$	−1.99924	−	8.75925i	−0.116797	−	0.511721i	0.882356	−	0.470582i	$-0.155956\pi$
$294$	−7.28590			−0.424922
$295$	−14.2223			−0.828055
$296$	1.42337	+	6.23621i	0.0827319	+	0.362472i
$297$	8.58693	+	10.7677i	0.498264	+	0.624804i
$298$	3.57315	−	1.72074i	0.206987	−	0.0996797i
$299$	25.7795	+	12.4147i	1.49087	+	0.717963i
$300$	1.23094			0.0710686
$301$	−3.95545	+	5.55332i	−0.227989	+	0.320088i
$302$	11.0776			0.637445
$303$	3.65908	+	1.76212i	0.210209	+	0.101231i
$304$	−0.893263	+	0.430173i	−0.0512321	+	0.0246721i
$305$	5.87481	+	7.36678i	0.336391	+	0.421820i
$306$	−2.28928	−	10.0300i	−0.130869	−	0.573376i
$307$	−20.2665			−1.15667			−0.578336	−	0.815798i	$-0.696298\pi$
$307$	−20.2665			−1.15667			−0.578336	+	0.815798i	$0.696298\pi$
$308$	2.59389			0.147801
$309$	−4.28230	−	18.7620i	−0.243612	−	1.06733i
$310$	−2.33658	+	2.92998i	−0.132709	+	0.166412i
$311$	1.97736	−	8.66338i	0.112126	−	0.491255i	−0.887416	−	0.460970i	$-0.847501\pi$
$311$	1.97736	−	8.66338i	0.112126	−	0.491255i	0.999541	−	0.0302848i	$-0.00964142\pi$
$312$	2.99920	−	3.76088i	0.169796	−	0.212918i
$313$	−6.75161	−	3.25140i	−0.381624	−	0.183780i	0.233230	−	0.972422i	$-0.425071\pi$
$313$	−6.75161	−	3.25140i	−0.381624	−	0.183780i	−0.614853	+	0.788641i	$0.710785\pi$
$314$	1.62382	+	7.11443i	0.0916375	+	0.401490i
$315$	1.39089	+	0.669818i	0.0783678	+	0.0377400i
$316$	9.61543	+	12.0574i	0.540910	+	0.678280i
$317$	−6.73729	+	29.5180i	−0.378404	+	1.65790i	0.323955	+	0.946072i	$0.394987\pi$
$317$	−6.73729	+	29.5180i	−0.378404	+	1.65790i	−0.702359	+	0.711823i	$0.747870\pi$
$318$	−3.06926	+	13.4473i	−0.172116	+	0.754089i
$319$	19.5149	−	9.39788i	1.09262	−	0.526180i
$320$	−0.623490	−	0.781831i	−0.0348541	−	0.0437057i
$321$	2.19064	−	2.74698i	0.122270	−	0.153321i
$322$	−6.85896	+	3.30310i	−0.382235	+	0.184075i
$323$	6.18937	−	2.98064i	0.344386	−	0.165847i
$324$	−1.45966	+	1.83035i	−0.0810922	+	0.101686i
$325$	2.43651	+	3.05528i	0.135153	+	0.169477i
$326$	6.72862	−	3.24033i	0.372664	−	0.179465i
$327$	−1.93816	+	8.49164i	−0.107181	+	0.469589i
$328$	−0.754551	+	3.30590i	−0.0416631	+	0.182538i
$329$	2.30970	+	2.89627i	0.127338	+	0.159677i
$330$	−2.76680	−	1.33242i	−0.152307	−	0.0733473i
$331$	−6.65201	−	29.1444i	−0.365628	−	1.60192i	−0.738644	−	0.674095i	$-0.764534\pi$
$331$	−6.65201	−	29.1444i	−0.365628	−	1.60192i	0.373017	−	0.927825i	$-0.378323\pi$
$332$	−11.3508	−	5.46628i	−0.622958	−	0.300001i
$333$	5.92159	−	7.42544i	0.324501	−	0.406912i
$334$	3.38664	−	14.8378i	0.185308	−	0.811889i
$335$	5.32721	−	6.68011i	0.291056	−	0.364973i
$336$	0.284795	+	1.24777i	0.0155368	+	0.0680712i
$337$	0.698559			0.0380529			0.0190265	−	0.999819i	$-0.493943\pi$
$337$	0.698559			0.0380529			0.0190265	+	0.999819i	$0.493943\pi$
$338$	2.27132			0.123543
$339$	−4.26592	−	18.6902i	−0.231693	−	1.01511i
$340$	4.32012	+	5.41726i	0.234292	+	0.293792i
$341$	8.42346	−	4.05653i	0.456156	−	0.219673i
$342$	1.32630	+	0.638710i	0.0717178	+	0.0345375i
$343$	13.4323			0.725275
$344$	−6.05372	−	2.52041i	−0.326395	−	0.135891i
$345$	9.01289			0.485238
$346$	−2.86884	−	1.38156i	−0.154230	−	0.0742730i
$347$	33.4926	−	16.1292i	1.79798	−	0.865861i	0.870243	−	0.492622i	$-0.163961\pi$
$347$	33.4926	−	16.1292i	1.79798	−	0.865861i	0.927735	−	0.373239i	$-0.121753\pi$
$348$	6.66338	+	8.35562i	0.357195	+	0.447908i
$349$	−0.173889	−	0.761859i	−0.00930808	−	0.0407814i	0.970061	−	0.242863i	$-0.0780865\pi$
$349$	−0.173889	−	0.761859i	−0.00930808	−	0.0407814i	−0.979369	+	0.202082i	$0.935229\pi$
$350$	−1.03973			−0.0555761
$351$	−21.5733			−1.15150
$352$	0.555137	+	2.43222i	0.0295889	+	0.129637i
$353$	−5.67260	+	7.11321i	−0.301922	+	0.378598i	−0.909530	−	0.415639i	$-0.863558\pi$
$353$	−5.67260	+	7.11321i	−0.301922	+	0.378598i	0.607608	+	0.794237i	$0.292129\pi$
$354$	−3.89565	+	17.0679i	−0.207051	+	0.907151i
$355$	−4.35320	+	5.45874i	−0.231044	+	0.289720i
$356$	13.8004	+	6.64594i	0.731422	+	0.352234i
$357$	−1.97332	−	8.64570i	−0.104439	−	0.457579i
$358$	−5.15219	−	2.48116i	−0.272302	−	0.131134i
$359$	−6.67618	−	8.37167i	−0.352355	−	0.441840i	0.573792	−	0.819001i	$-0.305472\pi$
$359$	−6.67618	−	8.37167i	−0.352355	−	0.441840i	−0.926148	+	0.377161i	$0.876900\pi$
$360$	−0.330394	+	1.44755i	−0.0174133	+	0.0762926i
$361$	4.00917	−	17.5653i	0.211009	−	0.924490i
$362$	11.2400	−	5.41289i	0.590760	−	0.284495i
$363$	−3.66561	−	4.59653i	−0.192395	−	0.241255i
$364$	−2.53332	+	3.17668i	−0.132782	+	0.166503i
$365$	4.98664	−	2.40144i	0.261013	−	0.125697i
$366$	10.4499	−	5.03241i	0.546226	−	0.263048i
$367$	−9.70668	+	12.1718i	−0.506685	+	0.635362i	−0.967723	−	0.252018i	$-0.918906\pi$
$367$	−9.70668	+	12.1718i	−0.506685	+	0.635362i	0.461038	+	0.887380i	$0.347477\pi$
$368$	−4.56515	−	5.72452i	−0.237975	−	0.298411i
$369$	4.53616	−	2.18450i	0.236143	−	0.113721i
$370$	−1.42337	+	6.23621i	−0.0739977	+	0.324205i
$371$	2.59250	−	11.3585i	0.134596	−	0.589702i
$372$	2.87620	+	3.60664i	0.149124	+	0.186996i
$373$	−19.7537	−	9.51290i	−1.02281	−	0.492559i	−0.154191	−	0.988041i	$-0.549277\pi$
$373$	−19.7537	−	9.51290i	−1.02281	−	0.492559i	−0.868618	+	0.495482i	$0.834992\pi$
$374$	−3.84651	−	16.8527i	−0.198898	−	0.871431i
$375$	1.10904	+	0.534087i	0.0572707	+	0.0275801i
$376$	−2.22143	+	2.78559i	−0.114562	+	0.143656i
$377$	−7.54981	+	33.0779i	−0.388835	+	1.70360i
$378$	3.57875	−	4.48761i	0.184071	−	0.230818i
$379$	−0.353337	−	1.54807i	−0.0181497	−	0.0795191i	0.965042	−	0.262095i	$-0.0844135\pi$
$379$	−0.353337	−	1.54807i	−0.0181497	−	0.0795191i	−0.983192	+	0.182576i	$0.941556\pi$
$380$	−0.991447			−0.0508602
$381$	1.84960			0.0947580
$382$	2.06647	+	9.05379i	0.105730	+	0.463232i
$383$	9.67679	+	12.1343i	0.494461	+	0.620035i	0.964970	−	0.262361i	$-0.0845010\pi$
$383$	9.67679	+	12.1343i	0.494461	+	0.620035i	−0.470509	+	0.882395i	$0.655930\pi$
$384$	−1.10904	+	0.534087i	−0.0565956	+	0.0272550i
$385$	2.33702	+	1.12545i	0.119105	+	0.0573581i
$386$	2.51148			0.127831
$387$	2.67839	+	9.36068i	0.136150	+	0.475830i
$388$	12.3887			0.628943
$389$	10.5961	+	5.10282i	0.537245	+	0.258723i	0.682773	−	0.730631i	$-0.260774\pi$
$389$	10.5961	+	5.10282i	0.537245	+	0.258723i	−0.145528	+	0.989354i	$0.546488\pi$
$390$	4.33398	−	2.08713i	0.219459	−	0.105686i
$391$	31.6317	+	39.6649i	1.59968	+	2.00594i
$392$	1.31709	+	5.77055i	0.0665231	+	0.291457i
$393$	14.4374			0.728272
$394$	19.9850			1.00683
$395$	3.43171	+	15.0353i	0.172668	+	0.756508i
$396$	2.30951	−	2.89603i	0.116057	−	0.145531i
$397$	−3.40640	+	14.9244i	−0.170962	+	0.749035i	0.814642	+	0.579965i	$0.196934\pi$
$397$	−3.40640	+	14.9244i	−0.170962	+	0.749035i	−0.985604	+	0.169070i	$0.945923\pi$
$398$	−5.39333	+	6.76302i	−0.270343	+	0.338999i
$399$	1.14325	+	0.550559i	0.0572339	+	0.0275624i
$400$	−0.222521	−	0.974928i	−0.0111260	−	0.0487464i
$401$	29.0553	+	13.9923i	1.45095	+	0.698742i	0.982760	−	0.184885i	$-0.0591912\pi$
$401$	29.0553	+	13.9923i	1.45095	+	0.698742i	0.468192	+	0.883627i	$0.344905\pi$
$402$	−6.55750	−	8.22284i	−0.327058	−	0.410118i
$403$	−3.25882	+	14.2778i	−0.162333	+	0.711229i
$404$	0.734168	−	3.21660i	0.0365262	−	0.160032i
$405$	−2.10927	+	1.01577i	−0.104810	+	0.0504740i
$406$	−5.62832	−	7.05769i	−0.279329	−	0.350267i
$407$	9.94963	−	12.4764i	0.493185	−	0.618434i
$408$	7.68449	−	3.70066i	0.380439	−	0.183210i
$409$	−15.4650	+	7.44755i	−0.764695	+	0.368257i	−0.775223	−	0.631687i	$-0.782363\pi$
$409$	−15.4650	+	7.44755i	−0.764695	+	0.368257i	0.0105290	+	0.999945i	$0.496648\pi$
$410$	−2.11421	+	2.65113i	−0.104413	+	0.130930i
$411$	3.17675	+	3.98352i	0.156698	+	0.196493i
$412$	−14.0857	+	6.78331i	−0.693952	+	0.334190i
$413$	3.29051	−	14.4167i	0.161916	−	0.709398i
$414$	−2.41912	+	10.5989i	−0.118893	+	0.520906i
$415$	−7.85503	−	9.84989i	−0.385588	−	0.483512i
$416$	−3.52085	−	1.69555i	−0.172624	−	0.0831314i
$417$	−1.75711	−	7.69839i	−0.0860459	−	0.376992i
$418$	2.22848	+	1.07318i	0.108999	+	0.0524909i
$419$	16.6245	−	20.8465i	0.812161	−	1.01842i	−0.187187	−	0.982324i	$-0.559937\pi$
$419$	16.6245	−	20.8465i	0.812161	−	1.01842i	0.999348	−	0.0360937i	$-0.0114915\pi$
$420$	−0.284795	+	1.24777i	−0.0138965	+	0.0608848i
$421$	−10.8253	+	13.5745i	−0.527591	+	0.661579i	−0.972202	−	0.234146i	$-0.924771\pi$
$421$	−10.8253	+	13.5745i	−0.527591	+	0.661579i	0.444610	+	0.895724i	$0.353342\pi$
$422$	−0.0683047	−	0.299262i	−0.00332502	−	0.0145679i
$423$	5.29011			0.257214
$424$	11.2053			0.544179
$425$	1.54183	+	6.75522i	0.0747900	+	0.327676i
$426$	5.35855	+	6.71941i	0.259623	+	0.325556i
$427$	−8.82666	+	4.25070i	−0.427152	+	0.205706i
$428$	−2.57166	−	1.23844i	−0.124306	−	0.0598625i
$429$	−12.0007			−0.579399
$430$	−4.36065	−	4.89742i	−0.210289	−	0.236174i
$431$	−28.0791			−1.35252			−0.676262	−	0.736661i	$-0.736401\pi$
$431$	−28.0791			−1.35252			−0.676262	+	0.736661i	$0.736401\pi$
$432$	4.97381	+	2.39526i	0.239302	+	0.115242i
$433$	27.9348	−	13.4527i	1.34246	−	0.646495i	0.381807	−	0.924242i	$-0.375302\pi$
$433$	27.9348	−	13.4527i	1.34246	−	0.646495i	0.960654	+	0.277747i	$0.0895877\pi$
$434$	−2.42942	−	3.04640i	−0.116616	−	0.146232i
$435$	2.37813	+	10.4193i	0.114023	+	0.499567i
$436$	7.07589			0.338873
$437$	−7.25931			−0.347260
$438$	−1.51603	−	6.64216i	−0.0724387	−	0.317375i
$439$	−9.92846	+	12.4499i	−0.473860	+	0.594201i	−0.960111	−	0.279618i	$-0.909792\pi$
$439$	−9.92846	+	12.4499i	−0.473860	+	0.594201i	0.486252	+	0.873819i	$0.338364\pi$
$440$	−0.555137	+	2.43222i	−0.0264651	+	0.115951i
$441$	5.47943	−	6.87098i	0.260925	−	0.327190i
$442$	24.3958	+	11.7484i	1.16039	+	0.558814i
$443$	−5.61829	−	24.6153i	−0.266933	−	1.16951i	−0.913560	−	0.406703i	$-0.866678\pi$
$443$	−5.61829	−	24.6153i	−0.266933	−	1.16951i	0.646627	−	0.762806i	$-0.276179\pi$
$444$	7.09408	+	3.41633i	0.336670	+	0.162132i
$445$	9.55020	+	11.9756i	0.452723	+	0.567697i
$446$	0.424087	−	1.85805i	0.0200811	−	0.0879811i
$447$	1.08630	−	4.75940i	0.0513804	−	0.225112i
$448$	0.936768	−	0.451124i	0.0442581	−	0.0213136i
$449$	1.79947	+	2.25647i	0.0849224	+	0.106489i	0.822478	−	0.568798i	$-0.192591\pi$
$449$	1.79947	+	2.25647i	0.0849224	+	0.106489i	−0.737555	+	0.675287i	$0.764020\pi$
$450$	−0.925743	+	1.16084i	−0.0436399	+	0.0547227i
$451$	7.62179	−	3.67046i	0.358896	−	0.172835i
$452$	−14.0318	+	6.75735i	−0.660000	+	0.317839i
$453$	8.50187	−	10.6610i	0.399452	−	0.500898i
$454$	7.28504	+	9.13515i	0.341904	+	0.428734i
$455$	−3.66075	+	1.76293i	−0.171619	+	0.0826472i
$456$	−0.271568	+	1.18982i	−0.0127173	+	0.0557183i
$457$	5.83524	−	25.5659i	0.272961	−	1.19592i	−0.633537	−	0.773712i	$-0.718398\pi$
$457$	5.83524	−	25.5659i	0.272961	−	1.19592i	0.906499	−	0.422209i	$-0.138745\pi$
$458$	−3.79376	−	4.75722i	−0.177271	−	0.222290i
$459$	−34.4632	−	16.5966i	−1.60861	−	0.774663i
$460$	−1.62928	−	7.13836i	−0.0759658	−	0.332828i
$461$	−18.7414	−	9.02536i	−0.872872	−	0.420353i	−0.0568562	−	0.998382i	$-0.518108\pi$
$461$	−18.7414	−	9.02536i	−0.872872	−	0.420353i	−0.816016	+	0.578029i	$0.803822\pi$
$462$	1.99076	−	2.49634i	0.0926187	−	0.116140i
$463$	4.92288	−	21.5685i	0.228785	−	1.00237i	−0.721846	−	0.692053i	$-0.756706\pi$
$463$	4.92288	−	21.5685i	0.228785	−	1.00237i	0.950632	−	0.310321i	$-0.100437\pi$
$464$	5.41323	−	6.78798i	0.251303	−	0.315124i
$465$	1.02650	+	4.49741i	0.0476030	+	0.208562i
$466$	11.1942			0.518563
$467$	−2.86252			−0.132462			−0.0662309	−	0.997804i	$-0.521097\pi$
$467$	−2.86252			−0.132462			−0.0662309	+	0.997804i	$0.521097\pi$
$468$	1.29113	+	5.65681i	0.0596825	+	0.261486i
$469$	5.53888	+	6.94554i	0.255762	+	0.320715i
$470$	−3.21006	+	1.54588i	−0.148069	+	0.0713063i
$471$	8.09311	+	3.89744i	0.372911	+	0.179584i
$472$	14.2223			0.654635
$473$	4.50031	+	15.7281i	0.206924	+	0.723178i
$474$	18.9836			0.871944
$475$	−0.893263	−	0.430173i	−0.0409857	−	0.0197377i
$476$	−6.49081	+	3.12581i	−0.297506	+	0.143271i
$477$	−10.3733	−	13.0077i	−0.474959	−	0.595580i
$478$	2.33396	+	10.2257i	0.106753	+	0.467714i
$479$	11.2732			0.515086			0.257543	−	0.966267i	$-0.417087\pi$
$479$	11.2732			0.515086			0.257543	+	0.966267i	$0.417087\pi$
$480$	−1.23094			−0.0561847
$481$	5.56234	+	24.3702i	0.253621	+	1.11118i
$482$	0.481072	−	0.603245i	0.0219122	−	0.0274771i
$483$	−2.08525	+	9.13606i	−0.0948820	+	0.415705i
$484$	−2.97788	+	3.73415i	−0.135358	+	0.169734i
$485$	11.1619	+	5.37527i	0.506835	+	0.244079i
$486$	−3.04403	−	13.3368i	−0.138080	−	0.604968i
$487$	31.4109	+	15.1267i	1.42336	+	0.685456i	0.977751	−	0.209770i	$-0.0672717\pi$
$487$	31.4109	+	15.1267i	1.42336	+	0.685456i	0.445612	+	0.895226i	$0.352986\pi$
$488$	−5.87481	−	7.36678i	−0.265940	−	0.333478i
$489$	2.04562	−	8.96245i	0.0925062	−	0.405296i
$490$	−1.31709	+	5.77055i	−0.0595001	+	0.260687i
$491$	−34.4864	+	16.6078i	−1.55635	+	0.749498i	−0.996848	−	0.0793326i	$-0.974721\pi$
$491$	−34.4864	+	16.6078i	−1.55635	+	0.749498i	−0.559500	+	0.828830i	$0.689007\pi$
$492$	2.60247	+	3.26339i	0.117328	+	0.147125i
$493$	−37.5079	+	47.0335i	−1.68927	+	2.11828i
$494$	−3.49074	+	1.68105i	−0.157056	+	0.0756341i
$495$	3.33734	−	1.60718i	0.150002	−	0.0722372i
$496$	2.33658	−	2.92998i	0.104916	−	0.131560i
$497$	−4.52617	−	5.67564i	−0.203027	−	0.254587i
$498$	−13.9723	+	6.72868i	−0.626112	+	0.301520i
$499$	−4.60319	+	20.1679i	−0.206067	+	0.902840i	0.761087	+	0.648650i	$0.224666\pi$
$499$	−4.60319	+	20.1679i	−0.206067	+	0.902840i	−0.967154	+	0.254190i	$0.918191\pi$
$500$	0.222521	−	0.974928i	0.00995144	−	0.0436001i
$501$	−11.6806	−	14.6470i	−0.521851	−	0.654380i
$502$	13.4387	+	6.47173i	0.599798	+	0.288847i
$503$	−6.92620	−	30.3457i	−0.308824	−	1.35305i	−0.856410	−	0.516296i	$-0.827310\pi$
$503$	−6.92620	−	30.3457i	−0.308824	−	1.35305i	0.547586	−	0.836749i	$-0.315547\pi$
$504$	−1.39089	−	0.669818i	−0.0619552	−	0.0298361i
$505$	2.05709	−	2.57951i	0.0915394	−	0.114787i
$506$	−4.06468	+	17.8085i	−0.180697	+	0.791685i
$507$	1.74319	−	2.18590i	0.0774180	−	0.0970790i
$508$	−0.334357	−	1.46492i	−0.0148347	−	0.0649951i
$509$	10.6023			0.469937			0.234969	−	0.972003i	$-0.424501\pi$
$509$	10.6023			0.469937			0.234969	+	0.972003i	$0.424501\pi$
$510$	8.52914			0.377677
$511$	1.28054	+	5.61039i	0.0566476	+	0.248189i
$512$	0.623490	+	0.781831i	0.0275546	+	0.0345524i
$513$	4.93127	−	2.37477i	0.217721	−	0.104849i
$514$	−27.8494	−	13.4116i	−1.22838	−	0.591558i
$515$	−15.6339			−0.688913
$516$	−7.07173	+	3.89168i	−0.311316	+	0.171322i
$517$	8.88859			0.390920
$518$	−5.99212	−	2.88565i	−0.263278	−	0.126788i
$519$	−3.53138	+	1.70062i	−0.155010	+	0.0746490i
$520$	−2.43651	−	3.05528i	−0.106848	−	0.133983i
$521$	−2.90448	−	12.7254i	−0.127248	−	0.557508i	−0.997851	−	0.0655229i	$-0.979128\pi$
$521$	−2.90448	−	12.7254i	−0.127248	−	0.557508i	0.870603	−	0.491985i	$-0.163729\pi$
$522$	−12.8910			−0.564226
$523$	1.91323			0.0836597			0.0418298	−	0.999125i	$-0.486681\pi$
$523$	1.91323			0.0836597			0.0418298	+	0.999125i	$0.486681\pi$
$524$	−2.60989	−	11.4347i	−0.114014	−	0.499526i
$525$	−0.797976	+	1.00063i	−0.0348265	+	0.0436711i
$526$	−5.86261	+	25.6858i	−0.255622	+	1.11995i
$527$	−16.1900	+	20.3017i	−0.705249	+	0.884354i
$528$	2.76680	+	1.33242i	0.120409	+	0.0579862i
$529$	−6.81153	−	29.8433i	−0.296153	−	1.29753i
$530$	10.0957	+	4.86181i	0.438528	+	0.211184i
$531$	−13.1662	−	16.5099i	−0.571365	−	0.716469i
$532$	0.229384	−	1.00500i	0.00994505	−	0.0435721i
$533$	−2.94868	+	12.9190i	−0.127721	+	0.559584i
$534$	16.9876	−	8.18079i	0.735124	−	0.354017i
$535$	−1.77964	−	2.23160i	−0.0769406	−	0.0964805i
$536$	−5.32721	+	6.68011i	−0.230100	+	0.288537i
$537$	−6.34206	+	3.05417i	−0.273680	+	0.131797i
$538$	18.0303	−	8.68295i	0.777343	−	0.374349i
$539$	9.20669	−	11.5448i	0.396560	−	0.497271i
$540$	3.44198	+	4.31611i	0.148119	+	0.185736i
$541$	2.57774	−	1.24137i	0.110826	−	0.0533709i	−0.377649	−	0.925949i	$-0.623268\pi$
$541$	2.57774	−	1.24137i	0.110826	−	0.0533709i	0.488475	+	0.872578i	$0.337553\pi$
$542$	3.07169	−	13.4580i	0.131940	−	0.578069i
$543$	3.41716	−	14.9715i	0.146644	−	0.642490i
$544$	−4.32012	−	5.41726i	−0.185224	−	0.232263i
$545$	6.37515	+	3.07011i	0.273082	+	0.131509i
$546$	1.11294	+	4.87609i	0.0476292	+	0.208677i
$547$	−21.9405	−	10.5660i	−0.938109	−	0.451769i	−0.0986070	−	0.995126i	$-0.531439\pi$
$547$	−21.9405	−	10.5660i	−0.938109	−	0.451769i	−0.839502	+	0.543357i	$0.817153\pi$
$548$	2.58074	−	3.23615i	0.110244	−	0.138241i
$549$	−3.11312	+	13.6395i	−0.132865	+	0.582119i
$550$	−1.55546	+	1.95049i	−0.0663250	+	0.0831690i
$551$	−1.91544	−	8.39207i	−0.0816003	−	0.357514i
$552$	−9.01289			−0.383614
$553$	−16.0347			−0.681866
$554$	−3.64818	−	15.9837i	−0.154996	−	0.679084i
$555$	4.90926	+	6.15601i	0.208386	+	0.261308i
$556$	−5.77961	+	2.78331i	−0.245110	+	0.118039i
$557$	−23.4034	−	11.2705i	−0.991634	−	0.477546i	−0.133543	−	0.991043i	$-0.542635\pi$
$557$	−23.4034	−	11.2705i	−0.991634	−	0.477546i	−0.858091	+	0.513497i	$0.828350\pi$
$558$	−5.56432			−0.235557
$559$	−23.6571	−	9.84937i	−1.00059	−	0.416584i
$560$	1.03973			0.0439368
$561$	−19.1710	−	9.23226i	−0.809400	−	0.389786i
$562$	−22.7574	+	10.9594i	−0.959964	+	0.462294i
$563$	14.1424	+	17.7340i	0.596032	+	0.747400i	0.984754	−	0.173955i	$-0.0556547\pi$
$563$	14.1424	+	17.7340i	0.596032	+	0.747400i	−0.388722	+	0.921355i	$0.627083\pi$
$564$	0.975917	+	4.27577i	0.0410935	+	0.180042i
$565$	−15.5741			−0.655208
$566$	−0.800051			−0.0336286
$567$	−0.541646	−	2.37311i	−0.0227470	−	0.0996610i
$568$	4.35320	−	5.45874i	0.182656	−	0.229044i
$569$	9.19057	−	40.2665i	0.385289	−	1.68806i	−0.295309	−	0.955402i	$-0.595423\pi$
$569$	9.19057	−	40.2665i	0.385289	−	1.68806i	0.680597	−	0.732658i	$-0.261720\pi$
$570$	−0.760917	+	0.954160i	−0.0318713	+	0.0399654i
$571$	6.76070	+	3.25578i	0.282926	+	0.136250i	0.569965	−	0.821669i	$-0.306957\pi$
$571$	6.76070	+	3.25578i	0.282926	+	0.136250i	−0.287039	+	0.957919i	$0.592671\pi$
$572$	2.16939	+	9.50474i	0.0907070	+	0.397413i
$573$	10.2993	+	4.95986i	0.430258	+	0.207201i
$574$	−2.19821	−	2.75647i	−0.0917516	−	0.115053i
$575$	1.62928	−	7.13836i	0.0679458	−	0.297690i
$576$	0.330394	−	1.44755i	0.0137664	−	0.0603146i
$577$	−34.0242	+	16.3852i	−1.41645	+	0.682125i	−0.976424	−	0.215861i	$-0.930744\pi$
$577$	−34.0242	+	16.3852i	−1.41645	+	0.682125i	−0.440024	+	0.897986i	$0.645030\pi$
$578$	19.3346	+	24.2448i	0.804211	+	1.00845i
$579$	1.92752	−	2.41703i	0.0801048	−	0.100448i
$580$	7.82234	−	3.76704i	0.324805	−	0.156418i
$581$	11.8019	−	5.68348i	0.489624	−	0.235790i
$582$	9.50813	−	11.9228i	0.394125	−	0.494217i
$583$	−17.4295	−	21.8558i	−0.721854	−	0.905177i
$584$	−4.98664	+	2.40144i	−0.206349	+	0.0993723i
$585$	−1.29113	+	5.65681i	−0.0533817	+	0.233880i
$586$	−1.99924	+	8.75925i	−0.0825879	+	0.361841i
$587$	−15.5052	−	19.4429i	−0.639969	−	0.802496i	0.351030	−	0.936364i	$-0.385832\pi$
$587$	−15.5052	−	19.4429i	−0.639969	−	0.802496i	−0.990999	+	0.133868i	$0.957260\pi$
$588$	6.56437	+	3.16123i	0.270710	+	0.130367i
$589$	−0.826784	−	3.62238i	−0.0340670	−	0.149257i
$590$	12.8139	+	6.17083i	0.527539	+	0.254049i
$591$	15.3381	−	19.2334i	0.630925	−	0.791155i
$592$	1.42337	−	6.23621i	0.0585003	−	0.256307i
$593$	14.4689	−	18.1435i	0.594168	−	0.745063i	−0.390289	−	0.920693i	$-0.627625\pi$
$593$	14.4689	−	18.1435i	0.594168	−	0.745063i	0.984456	+	0.175630i	$0.0561962\pi$
$594$	−3.06464	−	13.4271i	−0.125744	−	0.550919i
$595$	−7.20426			−0.295346
$596$	−3.96590			−0.162450
$597$	2.36939	+	10.3810i	0.0969727	+	0.424865i
$598$	−17.8399	−	22.3706i	−0.729530	−	0.914801i
$599$	25.3097	−	12.1885i	1.03412	−	0.498008i	0.161743	−	0.986833i	$-0.448289\pi$
$599$	25.3097	−	12.1885i	1.03412	−	0.498008i	0.872382	+	0.488825i	$0.162574\pi$
$600$	−1.10904	−	0.534087i	−0.0452765	−	0.0218040i
$601$	39.4761			1.61026			0.805131	−	0.593097i	$-0.202095\pi$
$601$	39.4761			1.61026			0.805131	+	0.593097i	$0.202095\pi$
$602$	5.97324	−	3.28717i	0.243451	−	0.133975i
$603$	12.6862			0.516622
$604$	−9.98059	−	4.80640i	−0.406104	−	0.195570i
$605$	−4.30316	+	2.07230i	−0.174949	+	0.0842508i
$606$	−2.53217	−	3.17523i	−0.102862	−	0.128985i
$607$	0.688710	+	3.01744i	0.0279539	+	0.122474i	0.986980	−	0.160845i	$-0.0514218\pi$
$607$	0.688710	+	3.01744i	0.0279539	+	0.122474i	−0.959026	+	0.283319i	$0.908565\pi$
$608$	0.991447			0.0402085
$609$	−11.1119			−0.450276
$610$	−2.09670	−	9.18622i	−0.0848927	−	0.371939i
$611$	−8.68103	+	10.8857i	−0.351197	+	0.440387i
$612$	−2.28928	+	10.0300i	−0.0925386	+	0.405438i
$613$	−11.7277	+	14.7060i	−0.473677	+	0.593972i	−0.960067	−	0.279770i	$-0.909742\pi$
$613$	−11.7277	+	14.7060i	−0.473677	+	0.593972i	0.486391	+	0.873742i	$0.338313\pi$
$614$	18.2595	+	8.79332i	0.736894	+	0.354870i
$615$	0.928810	+	4.06938i	0.0374533	+	0.164093i
$616$	−2.33702	−	1.12545i	−0.0941610	−	0.0453456i
$617$	−16.6786	−	20.9143i	−0.671456	−	0.841979i	0.323081	−	0.946371i	$-0.395282\pi$
$617$	−16.6786	−	20.9143i	−0.671456	−	0.841979i	−0.994536	+	0.104393i	$0.966710\pi$
$618$	−4.28230	+	18.7620i	−0.172259	+	0.754718i
$619$	0.278507	−	1.22022i	0.0111941	−	0.0490448i	−0.969022	−	0.246973i	$-0.920564\pi$
$619$	0.278507	−	1.22022i	0.0111941	−	0.0490448i	0.980217	+	0.197928i	$0.0634213\pi$
$620$	3.37646	−	1.62602i	0.135602	−	0.0653024i
$621$	25.2020	+	31.6023i	1.01132	+	1.26816i
$622$	−5.54044	+	6.94749i	−0.222151	+	0.278569i
$623$	−14.3488	+	6.91001i	−0.574872	+	0.276844i
$624$	−4.33398	+	2.08713i	−0.173498	+	0.0835522i
$625$	0.623490	−	0.781831i	0.0249396	−	0.0312733i
$626$	4.67226	+	5.85883i	0.186741	+	0.234166i
$627$	2.74314	−	1.32102i	0.109550	−	0.0527566i
$628$	1.62382	−	7.11443i	0.0647975	−	0.283896i
$629$	−9.86247	+	43.2103i	−0.393243	+	1.72291i
$630$	−0.962526	−	1.20697i	−0.0383480	−	0.0480868i
$631$	−2.44637	−	1.17811i	−0.0973883	−	0.0468998i	0.384555	−	0.923102i	$-0.374355\pi$
$631$	−2.44637	−	1.17811i	−0.0973883	−	0.0468998i	−0.481944	+	0.876202i	$0.660069\pi$
$632$	−3.43171	−	15.0353i	−0.136506	−	0.598072i
$633$	−0.340430	−	0.163942i	−0.0135309	−	0.00651613i
$634$	18.8775	−	23.6716i	0.749720	−	0.940119i
$635$	0.334357	−	1.46492i	0.0132686	−	0.0581334i
$636$	8.59989	−	10.7839i	0.341008	−	0.427610i
$637$	5.14700	+	22.5505i	0.203931	+	0.893482i
$638$	−21.6599			−0.857524
$639$	−10.3667			−0.410100
$640$	0.222521	+	0.974928i	0.00879591	+	0.0385374i
$641$	17.1709	+	21.5317i	0.678211	+	0.850450i	0.995188	−	0.0979834i	$-0.0312392\pi$
$641$	17.1709	+	21.5317i	0.678211	+	0.850450i	−0.316977	+	0.948433i	$0.602668\pi$
$642$	−3.16557	+	1.52446i	−0.124935	+	0.0601655i
$643$	−17.2218	−	8.29357i	−0.679161	−	0.327067i	0.0623051	−	0.998057i	$-0.480155\pi$
$643$	−17.2218	−	8.29357i	−0.679161	−	0.327067i	−0.741466	+	0.670991i	$0.765869\pi$
$644$	7.61287			0.299989
$645$	−8.05995	+	0.437976i	−0.317360	+	0.0172453i
$646$	−6.86968			−0.270284
$647$	6.97268	+	3.35786i	0.274124	+	0.132011i	0.565896	−	0.824477i	$-0.308530\pi$
$647$	6.97268	+	3.35786i	0.274124	+	0.132011i	−0.291772	+	0.956488i	$0.594245\pi$
$648$	2.10927	−	1.01577i	0.0828599	−	0.0399032i
$649$	−22.1222	−	27.7404i	−0.868374	−	1.08891i
$650$	−0.869579	−	3.80988i	−0.0341077	−	0.149436i
$651$	−4.79636			−0.187984
$652$	−7.46820			−0.292477
$653$	10.0840	+	44.1807i	0.394616	+	1.72892i	0.648074	+	0.761577i	$0.275575\pi$
$653$	10.0840	+	44.1807i	0.394616	+	1.72892i	−0.253458	+	0.967346i	$0.581568\pi$
$654$	5.43061	−	6.80977i	0.212354	−	0.266283i
$655$	2.60989	−	11.4347i	0.101977	−	0.446790i
$656$	2.11421	−	2.65113i	0.0825458	−	0.103509i
$657$	7.40405	+	3.56560i	0.288859	+	0.139107i
$658$	−0.824322	−	3.61159i	−0.0321354	−	0.140794i
$659$	−10.2775	−	4.94937i	−0.400353	−	0.192800i	0.222862	−	0.974850i	$-0.428460\pi$
$659$	−10.2775	−	4.94937i	−0.400353	−	0.192800i	−0.623216	+	0.782050i	$0.714174\pi$
$660$	1.91468	+	2.40094i	0.0745290	+	0.0934564i
$661$	5.08784	−	22.2913i	0.197894	−	0.867031i	−0.774293	−	0.632827i	$-0.781895\pi$
$661$	5.08784	−	22.2913i	0.197894	−	0.867031i	0.972188	−	0.234204i	$-0.0752483\pi$
$662$	−6.65201	+	29.1444i	−0.258538	+	1.13273i
$663$	30.0299	−	14.4616i	1.16626	−	0.561643i
$664$	7.85503	+	9.84989i	0.304834	+	0.382250i
$665$	0.642719	−	0.805944i	0.0249236	−	0.0312532i
$666$	−8.55695	+	4.12081i	−0.331575	+	0.159678i
$667$	57.2747	−	27.5820i	2.21769	−	1.06798i
$668$	−9.48914	+	11.8990i	−0.367146	+	0.460386i
$669$	−1.46269	−	1.83415i	−0.0565508	−	0.0709125i
$670$	−7.69804	+	3.70718i	−0.297401	+	0.143221i
$671$	−5.23076	+	22.9175i	−0.201931	+	0.884718i
$672$	0.284795	−	1.24777i	0.0109862	−	0.0481336i
$673$	−14.2308	−	17.8448i	−0.548555	−	0.687866i	0.427841	−	0.903854i	$-0.359274\pi$
$673$	−14.2308	−	17.8448i	−0.548555	−	0.687866i	−0.976396	+	0.215988i	$0.930703\pi$
$674$	−0.629380	−	0.303093i	−0.0242428	−	0.0116747i
$675$	1.22843	+	5.38210i	0.0472823	+	0.207157i
$676$	−2.04639	−	0.985488i	−0.0787072	−	0.0379034i
$677$	−1.50211	+	1.88359i	−0.0577308	+	0.0723922i	−0.809859	−	0.586625i	$-0.800456\pi$
$677$	−1.50211	+	1.88359i	−0.0577308	+	0.0723922i	0.752128	+	0.659017i	$0.229028\pi$
$678$	−4.26592	+	18.6902i	−0.163832	+	0.717793i
$679$	−8.03117	+	10.0708i	−0.308208	+	0.386481i
$680$	−1.54183	−	6.75522i	−0.0591266	−	0.259051i
$681$	14.3827			0.551147
$682$	−9.34934			−0.358005
$683$	−0.320814	−	1.40558i	−0.0122756	−	0.0537829i	0.968419	−	0.249328i	$-0.0802096\pi$
$683$	−0.320814	−	1.40558i	−0.0122756	−	0.0537829i	−0.980695	+	0.195545i	$0.937352\pi$
$684$	−0.917825	−	1.15092i	−0.0350939	−	0.0440064i
$685$	3.72928	−	1.79593i	0.142489	−	0.0686189i
$686$	−12.1021	−	5.82805i	−0.462059	−	0.222516i
$687$	−7.48994			−0.285759
$688$	4.36065	+	4.89742i	0.166248	+	0.186712i
$689$	43.7888			1.66822
$690$	−8.12034	−	3.91055i	−0.309136	−	0.148872i
$691$	24.8317	−	11.9583i	0.944641	−	0.454915i	0.102837	−	0.994698i	$-0.467208\pi$
$691$	24.8317	−	11.9583i	0.944641	−	0.454915i	0.841804	+	0.539783i	$0.181494\pi$
$692$	1.98530	+	2.48948i	0.0754696	+	0.0946359i
$693$	0.857006	+	3.75479i	0.0325549	+	0.142633i
$694$	−37.1740			−1.41111
$695$	−6.41489			−0.243330
$696$	−2.37813	−	10.4193i	−0.0901430	−	0.394942i
$697$	−14.6492	+	18.3695i	−0.554878	+	0.695795i
$698$	−0.173889	+	0.761859i	−0.00658181	+	0.0288368i
$699$	8.59137	−	10.7732i	0.324955	−	0.407481i
$700$	0.936768	+	0.451124i	0.0354065	+	0.0170509i
$701$	−5.76072	−	25.2394i	−0.217579	−	0.953277i	−0.959260	−	0.282524i	$-0.908828\pi$
$701$	−5.76072	−	25.2394i	−0.217579	−	0.953277i	0.741681	−	0.670753i	$-0.234029\pi$
$702$	19.4369	+	9.36032i	0.733599	+	0.353283i
$703$	−3.95409	−	4.95828i	−0.149131	−	0.187005i
$704$	0.555137	−	2.43222i	0.0209225	−	0.0916676i
$705$	−0.975917	+	4.27577i	−0.0367552	+	0.161035i
$706$	8.19714	−	3.94753i	0.308503	−	0.148567i
$707$	2.13883	+	2.68201i	0.0804389	+	0.100867i
$708$	10.9154	−	13.6874i	0.410224	−	0.514405i
$709$	−22.2870	+	10.7329i	−0.837006	+	0.403081i	−0.802738	−	0.596332i	$-0.796624\pi$
$709$	−22.2870	+	10.7329i	−0.837006	+	0.403081i	−0.0342683	+	0.999413i	$0.510910\pi$
$710$	6.29056	−	3.02937i	0.236080	−	0.113690i
$711$	−14.2768	+	17.9025i	−0.535420	+	0.671396i
$712$	−9.55020	−	11.9756i	−0.357909	−	0.448804i
$713$	24.7222	−	11.9056i	0.925854	−	0.445868i
$714$	−1.97332	+	8.64570i	−0.0738498	+	0.323557i
$715$	−2.16939	+	9.50474i	−0.0811308	+	0.355457i
$716$	3.56543	+	4.47090i	0.133246	+	0.167085i
$717$	11.6324	+	5.60188i	0.434421	+	0.209206i
$718$	2.38270	+	10.4393i	0.0889217	+	0.389591i
$719$	−6.06673	−	2.92159i	−0.226251	−	0.108957i	0.317324	−	0.948317i	$-0.397216\pi$
$719$	−6.06673	−	2.92159i	−0.226251	−	0.108957i	−0.543576	+	0.839360i	$0.682930\pi$
$720$	0.925743	−	1.16084i	0.0345004	−	0.0432621i
$721$	3.61711	−	15.8476i	0.134708	−	0.590195i
$722$	−11.2334	+	14.0863i	−0.418065	+	0.524237i
$723$	−0.211344	−	0.925959i	−0.00785997	−	0.0344368i
$724$	−12.4754			−0.463646
$725$	8.68215			0.322447
$726$	1.30824	+	5.73177i	0.0485533	+	0.212726i
$727$	10.2711	+	12.8795i	0.380932	+	0.477674i	0.934924	−	0.354848i	$-0.115467\pi$
$727$	10.2711	+	12.8795i	0.380932	+	0.477674i	−0.553991	+	0.832522i	$0.686896\pi$
$728$	3.66075	−	1.76293i	0.135677	−	0.0653384i
$729$	−21.4992	−	10.3535i	−0.796268	−	0.383462i
$730$	−5.53476			−0.204850
$731$	−30.2147	−	33.9339i	−1.11753	−	1.25509i
$732$	−11.5985			−0.428694
$733$	−39.4271	−	18.9871i	−1.45627	−	0.701304i	−0.472601	−	0.881276i	$-0.656685\pi$
$733$	−39.4271	−	18.9871i	−1.45627	−	0.701304i	−0.983672	+	0.179972i	$0.942399\pi$
$734$	14.0266	−	6.75483i	0.517730	−	0.249325i
$735$	4.54269	+	5.69635i	0.167559	+	0.210113i
$736$	1.62928	+	7.13836i	0.0600562	+	0.263123i
$737$	21.3157			0.785174
$738$	−5.03476			−0.185332
$739$	3.78624	+	16.5886i	0.139279	+	0.610221i	0.995594	+	0.0937675i	$0.0298910\pi$
$739$	3.78624	+	16.5886i	0.139279	+	0.610221i	−0.856315	+	0.516454i	$0.827252\pi$
$740$	3.98820	−	5.00105i	0.146609	−	0.183842i
$741$	−1.06125	+	4.64963i	−0.0389859	+	0.170809i
$742$	−7.26401	+	9.10879i	−0.266670	+	0.334394i
$743$	−18.6561	−	8.98429i	−0.684424	−	0.329601i	0.0591552	−	0.998249i	$-0.481159\pi$
$743$	−18.6561	−	8.98429i	−0.684424	−	0.329601i	−0.743580	+	0.668647i	$0.766874\pi$
$744$	−1.02650	−	4.49741i	−0.0376335	−	0.164883i
$745$	−3.57315	−	1.72074i	−0.130910	−	0.0630430i
$746$	13.6700	+	17.1417i	0.500495	+	0.627600i
$747$	4.16246	−	18.2369i	0.152296	−	0.667254i
$748$	−3.84651	+	16.8527i	−0.140642	+	0.616195i
$749$	2.67384	−	1.28765i	0.0977000	−	0.0470498i
$750$	−0.767481	−	0.962391i	−0.0280245	−	0.0351416i
$751$	−15.8144	+	19.8306i	−0.577075	+	0.723629i	−0.981611	−	0.190893i	$-0.938862\pi$
$751$	−15.8144	+	19.8306i	−0.577075	+	0.723629i	0.404536	+	0.914522i	$0.367433\pi$
$752$	3.21006	−	1.54588i	0.117059	−	0.0563726i
$753$	16.5423	−	7.96634i	0.602834	−	0.290309i
$754$	21.1541	−	26.5264i	0.770387	−	0.966035i
$755$	−6.90678	−	8.66083i	−0.251364	−	0.315200i
$756$	−5.17144	+	2.49043i	−0.188083	+	0.0905762i
$757$	−3.60472	+	15.7933i	−0.131016	+	0.574017i	0.866217	+	0.499669i	$0.166545\pi$
$757$	−3.60472	+	15.7933i	−0.131016	+	0.574017i	−0.997232	+	0.0743485i	$0.976312\pi$
$758$	−0.353337	+	1.54807i	−0.0128338	+	0.0562285i
$759$	14.0192	+	17.5795i	0.508865	+	0.638096i
$760$	0.893263	+	0.430173i	0.0324021	+	0.0156040i
$761$	−0.643220	−	2.81813i	−0.0233167	−	0.102157i	0.961931	−	0.273294i	$-0.0881131\pi$
$761$	−0.643220	−	2.81813i	−0.0233167	−	0.102157i	−0.985247	+	0.171137i	$0.945256\pi$
$762$	−1.66643	−	0.802512i	−0.0603685	−	0.0290720i
$763$	−4.58704	+	5.75197i	−0.166062	+	0.208235i
$764$	2.06647	−	9.05379i	0.0747622	−	0.327555i
$765$	−6.41442	+	8.04342i	−0.231914	+	0.290811i
$766$	−3.45361	−	15.1312i	−0.124784	−	0.546714i
$767$	55.5787			2.00683
$768$	1.23094			0.0444179
$769$	10.0909	+	44.2110i	0.363886	+	1.59429i	0.743231	+	0.669035i	$0.233292\pi$
$769$	10.0909	+	44.2110i	0.363886	+	1.59429i	−0.379344	+	0.925256i	$0.623850\pi$
$770$	−1.61726	−	2.02799i	−0.0582822	−	0.0730835i
$771$	−34.2810	+	16.5089i	−1.23460	+	0.594553i
$772$	−2.26277	−	1.08969i	−0.0814388	−	0.0392188i
$773$	14.1555			0.509137			0.254568	−	0.967055i	$-0.418067\pi$
$773$	14.1555			0.509137			0.254568	+	0.967055i	$0.418067\pi$
$774$	1.64830	−	9.59579i	0.0592469	−	0.344914i
$775$	3.74758			0.134617
$776$	−11.1619	−	5.37527i	−0.400688	−	0.192961i
$777$	−7.37596	+	3.55208i	−0.264611	+	0.127430i
$778$	−7.33275	−	9.19497i	−0.262892	−	0.329656i
$779$	−0.748098	−	3.27763i	−0.0268034	−	0.117433i
$780$	−4.81035			−0.172238
$781$	−17.4184			−0.623280
$782$	−11.2892	−	49.4613i	−0.403701	−	1.76873i
$783$	−29.8838	+	37.4731i	−1.06796	+	1.33918i
$784$	1.31709	−	5.77055i	0.0470390	−	0.206091i
$785$	4.54985	−	5.70533i	0.162391	−	0.203632i
$786$	−13.0077	−	6.26416i	−0.463968	−	0.223435i
$787$	−2.21897	−	9.72193i	−0.0790976	−	0.346549i	0.919857	−	0.392253i	$-0.128304\pi$
$787$	−2.21897	−	9.72193i	−0.0790976	−	0.346549i	−0.998955	+	0.0457036i	$0.985447\pi$
$788$	−18.0059	−	8.67116i	−0.641432	−	0.308897i
$789$	20.2203	+	25.3555i	0.719862	+	0.902678i
$790$	3.43171	−	15.0353i	0.122095	−	0.534932i
$791$	3.60327	−	15.7869i	0.128117	−	0.561319i
$792$	−3.33734	+	1.60718i	−0.118587	+	0.0571086i
$793$	−22.9579	−	28.7883i	−0.815259	−	1.02230i
$794$	9.54452	−	11.9685i	0.338722	−	0.424745i
$795$	12.4272	−	5.98462i	0.440747	−	0.212253i
$796$	7.79358	−	3.75319i	0.276236	−	0.133028i
$797$	22.6106	−	28.3527i	0.800907	−	1.00431i	−0.198798	−	0.980040i	$-0.563704\pi$
$797$	22.6106	−	28.3527i	0.800907	−	1.00431i	0.999706	−	0.0242654i	$-0.00772469\pi$
$798$	−0.791151	−	0.992073i	−0.0280065	−	0.0351190i
$799$	−22.2423	+	10.7113i	−0.786877	+	0.378940i
$800$	−0.222521	+	0.974928i	−0.00786730	+	0.0344689i
$801$	−5.06075	+	22.1726i	−0.178813	+	0.783431i
$802$	−20.1069	−	25.2132i	−0.709999	−	0.890311i
$803$	12.4405	+	5.99103i	0.439016	+	0.211419i
$804$	2.34034	+	10.2537i	0.0825376	+	0.361621i
$805$	6.85896	+	3.30310i	0.241746	+	0.116419i
$806$	9.13101	−	11.4499i	0.321626	−	0.403307i
$807$	5.48155	−	24.0162i	0.192960	−	0.845412i
$808$	−2.05709	+	2.57951i	−0.0723682	+	0.0907469i
$809$	−6.36590	−	27.8908i	−0.223813	−	0.980589i	−0.954578	−	0.297960i	$-0.903694\pi$
$809$	−6.36590	−	27.8908i	−0.223813	−	0.980589i	0.730765	−	0.682629i	$-0.239163\pi$
$810$	2.34111			0.0822583
$811$	12.5829			0.441844			0.220922	−	0.975291i	$-0.429093\pi$
$811$	12.5829			0.441844			0.220922	+	0.975291i	$0.429093\pi$
$812$	2.00872	+	8.80080i	0.0704924	+	0.308847i
$813$	−10.5944	−	13.2849i	−0.371560	−	0.465922i
$814$	−14.3776	+	6.92390i	−0.503936	+	0.242683i
$815$	−6.72862	−	3.24033i	−0.235693	−	0.113504i
$816$	−8.52914			−0.298580
$817$	6.49178	−	0.352762i	0.227118	−	0.0123416i
$818$	17.1648			0.600155
$819$	−5.43540	−	2.61755i	−0.189928	−	0.0914646i
$820$	3.05512	−	1.47127i	0.106689	−	0.0513788i
$821$	23.7903	+	29.8320i	0.830286	+	1.04115i	0.998465	+	0.0553889i	$0.0176399\pi$
$821$	23.7903	+	29.8320i	0.830286	+	1.04115i	−0.168179	+	0.985756i	$0.553789\pi$
$822$	−1.13377	−	4.96737i	−0.0395447	−	0.173257i
$823$	−10.6000			−0.369491			−0.184746	−	0.982786i	$-0.559146\pi$
$823$	−10.6000			−0.369491			−0.184746	+	0.982786i	$0.559146\pi$
$824$	15.6339			0.544634
$825$	0.683343	+	2.99392i	0.0237909	+	0.104235i
$826$	−9.21981	+	11.5613i	−0.320798	+	0.402268i
$827$	−12.1580	+	53.2678i	−0.422776	+	1.85230i	0.0931272	+	0.995654i	$0.470314\pi$
$827$	−12.1580	+	53.2678i	−0.422776	+	1.85230i	−0.515903	+	0.856647i	$0.672543\pi$
$828$	6.77823	−	8.49963i	0.235560	−	0.295383i
$829$	32.6958	+	15.7454i	1.13557	+	0.546862i	0.904669	−	0.426115i	$-0.140118\pi$
$829$	32.6958	+	15.7454i	1.13557	+	0.546862i	0.230902	+	0.972977i	$0.425832\pi$
$830$	2.80343	+	12.2826i	0.0973084	+	0.426336i
$831$	−18.1825	−	8.75624i	−0.630744	−	0.303750i
$832$	2.43651	+	3.05528i	0.0844707	+	0.105923i
$833$	−9.12604	+	39.9838i	−0.316199	+	1.38536i
$834$	−1.75711	+	7.69839i	−0.0608436	+	0.266573i
$835$	−13.7122	+	6.60345i	−0.474531	+	0.228522i
$836$	−1.54216	−	1.93380i	−0.0533366	−	0.0668820i
$837$	−12.8991	+	16.1750i	−0.445859	+	0.559089i
$838$	−24.0231	+	11.5689i	−0.829865	+	0.399642i
$839$	−5.86709	+	2.82544i	−0.202554	+	0.0975451i	−0.532411	−	0.846486i	$-0.678714\pi$
$839$	−5.86709	+	2.82544i	−0.202554	+	0.0975451i	0.329857	+	0.944031i	$0.393000\pi$
$840$	0.797976	−	1.00063i	0.0275328	−	0.0345250i
$841$	28.9173	+	36.2611i	0.997147	+	1.25038i
$842$	15.6430	−	7.53325i	0.539092	−	0.259613i
$843$	−6.91867	+	30.3127i	−0.238292	+	1.04402i
$844$	−0.0683047	+	0.299262i	−0.00235114	+	0.0103010i
$845$	−1.41614	−	1.77579i	−0.0487168	−	0.0610890i
$846$	−4.76622	−	2.29529i	−0.163866	−	0.0789138i
$847$	−1.10502	−	4.84142i	−0.0379690	−	0.166353i
$848$	−10.0957	−	4.86181i	−0.346686	−	0.166955i
$849$	−0.614024	+	0.769962i	−0.0210732	+	0.0264250i
$850$	1.54183	−	6.75522i	0.0528845	−	0.231702i
$851$	29.2014	−	36.6174i	1.00101	−	1.25523i
$852$	−1.91244	−	8.37896i	−0.0655192	−	0.287059i
$853$	−12.9538			−0.443528			−0.221764	−	0.975100i	$-0.571182\pi$
$853$	−12.9538			−0.443528			−0.221764	+	0.975100i	$0.571182\pi$
$854$	9.79686			0.335242
$855$	−0.327568	−	1.43517i	−0.0112026	−	0.0490817i
$856$	1.77964	+	2.23160i	0.0608269	+	0.0762745i
$857$	−47.3998	+	22.8266i	−1.61915	+	0.779740i	−0.999985	−	0.00552222i	$-0.998242\pi$
$857$	−47.3998	+	22.8266i	−1.61915	+	0.779740i	−0.619163	+	0.785263i	$0.712528\pi$
$858$	10.8122	+	5.20690i	0.369124	+	0.177761i
$859$	40.9902			1.39857			0.699283	−	0.714845i	$-0.253503\pi$
$859$	40.9902			1.39857			0.699283	+	0.714845i	$0.253503\pi$
$860$	1.80390	+	6.30444i	0.0615125	+	0.214980i
$861$	−4.33989			−0.147903
$862$	25.2984	+	12.1831i	0.861667	+	0.414957i
$863$	4.64120	−	2.23508i	0.157988	−	0.0760831i	−0.353219	−	0.935541i	$-0.614913\pi$
$863$	4.64120	−	2.23508i	0.157988	−	0.0760831i	0.511207	+	0.859458i	$0.329199\pi$
$864$	−3.44198	−	4.31611i	−0.117099	−	0.146837i
$865$	0.708544	+	3.10433i	0.0240912	+	0.105550i
$866$	−31.0053			−1.05360
$867$	38.1719			1.29638
$868$	0.867051	+	3.79880i	0.0294296	+	0.128940i
$869$	−23.9882	+	30.0803i	−0.813745	+	1.02040i
$870$	2.37813	−	10.4193i	0.0806263	−	0.353247i
$871$	−20.8179	+	26.1049i	−0.705389	+	0.884530i
$872$	−6.37515	−	3.07011i	−0.215890	−	0.103967i
$873$	4.09316	+	17.9333i	0.138533	+	0.606951i
$874$	6.54041	+	3.14970i	0.221233	+	0.106540i
$875$	0.648264	+	0.812897i	0.0219153	+	0.0274809i
$876$	−1.51603	+	6.64216i	−0.0512219	+	0.224418i
$877$	1.33064	−	5.82993i	0.0449326	−	0.196863i	−0.947480	−	0.319815i	$-0.896379\pi$
$877$	1.33064	−	5.82993i	0.0449326	−	0.196863i	0.992413	+	0.122953i	$0.0392363\pi$
$878$	14.3470	−	6.90917i	0.484189	−	0.233173i
$879$	6.89544	+	8.64661i	0.232578	+	0.291643i
$880$	1.55546	−	1.95049i	0.0524345	−	0.0657508i
$881$	31.4346	−	15.1381i	1.05906	−	0.510016i	0.178494	−	0.983941i	$-0.442878\pi$
$881$	31.4346	−	15.1381i	1.05906	−	0.510016i	0.880565	+	0.473925i	$0.157163\pi$
$882$	−7.91800	+	3.81311i	−0.266613	+	0.128394i
$883$	14.1315	−	17.7204i	0.475564	−	0.596339i	−0.484960	−	0.874537i	$-0.661166\pi$
$883$	14.1315	−	17.7204i	0.475564	−	0.596339i	0.960524	+	0.278198i	$0.0897371\pi$
$884$	−16.8824	−	21.1699i	−0.567817	−	0.712020i
$885$	15.7732	−	7.59595i	0.530209	−	0.255335i
$886$	−5.61829	+	24.6153i	−0.188750	+	0.826968i
$887$	7.32250	−	32.0820i	0.245866	−	1.07721i	−0.689711	−	0.724085i	$-0.742263\pi$
$887$	7.32250	−	32.0820i	0.245866	−	1.07721i	0.935577	−	0.353123i	$-0.114880\pi$
$888$	−4.90926	−	6.15601i	−0.164744	−	0.206582i
$889$	1.40758	+	0.677853i	0.0472086	+	0.0227345i
$890$	−3.40843	−	14.9333i	−0.114251	−	0.500565i
$891$	−5.26213	−	2.53411i	−0.176288	−	0.0848958i
$892$	−1.18827	+	1.49004i	−0.0397861	+	0.0498902i
$893$	0.786039	−	3.44386i	0.0263038	−	0.115244i
$894$	−3.04375	+	3.81675i	−0.101798	+	0.127651i
$895$	1.27249	+	5.57512i	0.0425345	+	0.186356i
$896$	−1.03973			−0.0347351
$897$	−35.2211			−1.17600
$898$	−0.642224	−	2.81377i	−0.0214313	−	0.0938967i
$899$	20.2865	+	25.4385i	0.676594	+	0.848422i
$900$	1.33774	−	0.644220i	0.0445912	−	0.0214740i
$901$	69.9522	+	33.6872i	2.33045	+	1.12228i
$902$	−8.45955			−0.281672
$903$	1.42081	−	8.27143i	0.0472816	−	0.275256i
$904$	15.5741			0.517987
$905$	−11.2400	−	5.41289i	−0.373629	−	0.179930i
$906$	−12.2856	+	5.91641i	−0.408160	+	0.196560i
$907$	−2.79606	−	3.50615i	−0.0928418	−	0.116420i	0.733241	−	0.679969i	$-0.238007\pi$
$907$	−2.79606	−	3.50615i	−0.0928418	−	0.116420i	−0.826082	+	0.563549i	$0.809435\pi$
$908$	−2.60000	−	11.3914i	−0.0862841	−	0.378035i
$909$	4.89875			0.162481
$910$	4.06313			0.134691
$911$	−4.03611	−	17.6833i	−0.133722	−	0.585875i	−0.996739	−	0.0806992i	$-0.974285\pi$
$911$	−4.03611	−	17.6833i	−0.133722	−	0.585875i	0.863016	−	0.505176i	$-0.168572\pi$
$912$	0.760917	−	0.954160i	0.0251965	−	0.0315954i
$913$	6.99389	−	30.6422i	0.231464	−	1.01411i
$914$	−16.3500	+	20.5022i	−0.540809	+	0.678154i
$915$	−10.4499	−	5.03241i	−0.345463	−	0.166366i
$916$	1.35398	+	5.93216i	0.0447366	+	0.196004i
$917$	10.9871	+	5.29111i	0.362826	+	0.174728i
$918$	23.8493	+	29.9061i	0.787144	+	0.987047i
$919$	10.4413	−	45.7461i	0.344425	−	1.50903i	−0.445197	−	0.895433i	$-0.646866\pi$
$919$	10.4413	−	45.7461i	0.344425	−	1.50903i	0.789622	−	0.613593i	$-0.210276\pi$
$920$	−1.62928	+	7.13836i	−0.0537159	+	0.235345i
$921$	22.4765	−	10.8241i	0.740625	−	0.356666i
$922$	12.9694	+	16.2631i	0.427125	+	0.535598i
$923$	17.0117	−	21.3320i	0.559946	−	0.702150i
$924$	−2.87674	+	1.38536i	−0.0946377	+	0.0455751i
$925$	5.76312	−	2.77537i	0.189490	−	0.0912537i
$926$	−13.7936	+	17.2966i	−0.453286	+	0.568402i
$927$	−14.4730	−	18.1486i	−0.475355	−	0.596077i
$928$	−7.82234	+	3.76704i	−0.256781	+	0.123659i
$929$	−4.81596	+	21.1001i	−0.158006	+	0.692272i	0.832410	+	0.554160i	$0.186960\pi$
$929$	−4.81596	+	21.1001i	−0.158006	+	0.692272i	−0.990417	+	0.138112i	$0.955897\pi$
$930$	1.02650	−	4.49741i	0.0336604	−	0.147476i
$931$	−3.65884	−	4.58804i	−0.119914	−	0.150367i
$932$	−10.0857	−	4.85700i	−0.330367	−	0.159096i
$933$	2.43402	+	10.6641i	0.0796862	+	0.349128i
$934$	2.57904	+	1.24200i	0.0843889	+	0.0406395i
$935$	−10.7777	+	13.5148i	−0.352468	+	0.441981i
$936$	1.29113	−	5.65681i	0.0422019	−	0.184899i
$937$	−5.69670	+	7.14343i	−0.186103	+	0.233366i	−0.866127	−	0.499824i	$-0.833398\pi$
$937$	−5.69670	+	7.14343i	−0.186103	+	0.233366i	0.680024	+	0.733190i	$0.261969\pi$
$938$	−1.97680	−	8.66094i	−0.0645449	−	0.282790i
$939$	9.22435			0.301025
$940$	3.56290			0.116209
$941$	−7.52891	−	32.9863i	−0.245435	−	1.07532i	−0.935986	−	0.352038i	$-0.885489\pi$
$941$	−7.52891	−	32.9863i	−0.245435	−	1.07532i	0.690550	−	0.723284i	$-0.257368\pi$
$942$	−5.60061	−	7.02294i	−0.182478	−	0.228820i
$943$	22.3694	−	10.7725i	0.728446	−	0.350801i
$944$	−12.8139	−	6.17083i	−0.417056	−	0.200844i
$945$	−5.73986			−0.186718
$946$	2.76952	−	16.1231i	0.0900449	−	0.524208i
$947$	20.4016			0.662964			0.331482	−	0.943462i	$-0.392451\pi$
$947$	20.4016			0.662964			0.331482	+	0.943462i	$0.392451\pi$
$948$	−17.1036	−	8.23666i	−0.555499	−	0.267514i
$949$	−19.4871	+	9.38448i	−0.632577	+	0.304633i
$950$	0.618157	+	0.775145i	0.0200557	+	0.0251490i
$951$	−8.29323	−	36.3350i	−0.268926	−	1.17824i
$952$	7.20426			0.233491
$953$	28.3447			0.918176			0.459088	−	0.888391i	$-0.348176\pi$
$953$	28.3447			0.918176			0.459088	+	0.888391i	$0.348176\pi$
$954$	3.70217	+	16.2203i	0.119862	+	0.525151i
$955$	5.79012	−	7.26058i	0.187364	−	0.234947i
$956$	2.33396	−	10.2257i	0.0754856	−	0.330724i
$957$	−16.6236	+	20.8453i	−0.537364	+	0.673833i
$958$	−10.1568	−	4.89126i	−0.328152	−	0.158030i
$959$	0.957654	+	4.19576i	0.0309243	+	0.135488i
$960$	1.10904	+	0.534087i	0.0357942	+	0.0172376i
$961$	−10.5716	−	13.2564i	−0.341021	−	0.427627i
$962$	5.56234	−	24.3702i	0.179337	−	0.785726i
$963$	0.943051	−	4.13178i	0.0303894	−	0.133145i
$964$	−0.695169	+	0.334776i	−0.0223899	+	0.0107824i
$965$	−1.56588	−	1.96356i	−0.0504076	−	0.0632091i
$966$	5.84273	−	7.32655i	0.187987	−	0.235728i
$967$	18.4351	−	8.87785i	0.592831	−	0.285493i	−0.113314	−	0.993559i	$-0.536147\pi$
$967$	18.4351	−	8.87785i	0.592831	−	0.285493i	0.706146	+	0.708067i	$0.250432\pi$
$968$	4.30316	−	2.07230i	0.138309	−	0.0666061i
$969$	−5.27235	+	6.61132i	−0.169372	+	0.212386i
$970$	−7.72426	−	9.68591i	−0.248011	−	0.310996i
$971$	29.8220	−	14.3615i	0.957035	−	0.460884i	0.110887	−	0.993833i	$-0.464631\pi$
$971$	29.8220	−	14.3615i	0.957035	−	0.460884i	0.846147	+	0.532949i	$0.178916\pi$
$972$	−3.04403	+	13.3368i	−0.0976373	+	0.427777i
$973$	1.48416	−	6.50255i	0.0475801	−	0.208462i
$974$	−21.7370	−	27.2573i	−0.696499	−	0.873382i
$975$	−4.33398	−	2.08713i	−0.138798	−	0.0668417i
$976$	2.09670	+	9.18622i	0.0671136	+	0.294044i
$977$	34.0215	+	16.3839i	1.08845	+	0.524168i	0.890007	−	0.455946i	$-0.150699\pi$
$977$	34.0215	+	16.3839i	1.08845	+	0.524168i	0.198438	+	0.980114i	$0.436413\pi$
$978$	−5.73170	+	7.18733i	−0.183280	+	0.229825i
$979$	−8.50322	+	37.2551i	−0.271764	+	1.19068i
$980$	3.69041	−	4.62762i	0.117886	−	0.147824i
$981$	2.33783	+	10.2427i	0.0746411	+	0.327024i
$982$	38.2770			1.22147
$983$	10.9336			0.348727			0.174364	−	0.984681i	$-0.444213\pi$
$983$	10.9336			0.348727			0.174364	+	0.984681i	$0.444213\pi$
$984$	−0.928810	−	4.06938i	−0.0296094	−	0.129727i
$985$	−12.4604	−	15.6249i	−0.397023	−	0.497851i
$986$	54.2006	−	26.1016i	1.72610	−	0.831245i
$987$	−4.10841	−	1.97851i	−0.130772	−	0.0629766i
$988$	3.87443			0.123262
$989$	13.2081	+	46.1607i	0.419992	+	1.46782i
$990$	−3.70417			−0.117726
$991$	−31.9422	−	15.3826i	−1.01468	−	0.488643i	−0.148784	−	0.988870i	$-0.547536\pi$
$991$	−31.9422	−	15.3826i	−1.01468	−	0.488643i	−0.865895	+	0.500226i	$0.833250\pi$
$992$	−3.37646	+	1.62602i	−0.107203	+	0.0516261i
$993$	22.9430	+	28.7696i	0.728074	+	0.912976i
$994$	1.61537	+	7.07741i	0.0512365	+	0.224482i
$995$	8.65022			0.274230
$996$	15.5080			0.491391
$997$	−5.57321	−	24.4178i	−0.176505	−	0.773320i	−0.983227	−	0.182388i	$-0.941617\pi$
$997$	−5.57321	−	24.4178i	−0.176505	−	0.773320i	0.806721	−	0.590932i	$-0.201240\pi$
$998$	12.8979	−	16.1734i	0.408275	−	0.511960i
$999$	−7.85775	+	34.4270i	−0.248608	+	1.08922i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.b.21.1	✓	18
43.41	even	7	inner	430.2.k.b.41.1	yes	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.b.21.1	✓	18	1.1	even	1	trivial
430.2.k.b.41.1	yes	18	43.41	even	7	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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.900969 - 0.433884i) q^{2} +(-1.10904 + 0.534087i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.222521 + 0.974928i) q^{5} +1.23094 q^{6} -1.03973 q^{7} +(-0.222521 - 0.974928i) q^{8} +(-0.925743 + 1.16084i) q^{9} +O(q^{10})\)	\(q+(-0.900969 - 0.433884i) q^{2} +(-1.10904 + 0.534087i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.222521 + 0.974928i) q^{5} +1.23094 q^{6} -1.03973 q^{7} +(-0.222521 - 0.974928i) q^{8} +(-0.925743 + 1.16084i) q^{9} +(0.222521 - 0.974928i) q^{10} +(-1.55546 + 1.95049i) q^{11} +(-1.10904 - 0.534087i) q^{12} +(-0.869579 - 3.80988i) q^{13} +(0.936768 + 0.451124i) q^{14} +(-0.767481 - 0.962391i) q^{15} +(-0.222521 + 0.974928i) q^{16} +(1.54183 - 6.75522i) q^{17} +(1.33774 - 0.644220i) q^{18} +(0.618157 + 0.775145i) q^{19} +(-0.623490 + 0.781831i) q^{20} +(1.15311 - 0.555308i) q^{21} +(2.24770 - 1.08244i) q^{22} +(-4.56515 + 5.72452i) q^{23} +(0.767481 + 0.962391i) q^{24} +(-0.900969 + 0.433884i) q^{25} +(-0.869579 + 3.80988i) q^{26} +(1.22843 - 5.38210i) q^{27} +(-0.648264 - 0.812897i) q^{28} +(-7.82234 - 3.76704i) q^{29} +(0.273911 + 1.20008i) q^{30} +(-3.37646 - 1.62602i) q^{31} +(0.623490 - 0.781831i) q^{32} +(0.683343 - 2.99392i) q^{33} +(-4.32012 + 5.41726i) q^{34} +(-0.231363 - 1.01367i) q^{35} -1.48478 q^{36} -6.39658 q^{37} +(-0.220618 - 0.966589i) q^{38} +(2.99920 + 3.76088i) q^{39} +(0.900969 - 0.433884i) q^{40} +(-3.05512 - 1.47127i) q^{41} -1.27985 q^{42} +(3.80429 - 5.34110i) q^{43} -2.49476 q^{44} +(-1.33774 - 0.644220i) q^{45} +(6.59684 - 3.17687i) q^{46} +(-2.22143 - 2.78559i) q^{47} +(-0.273911 - 1.20008i) q^{48} -5.91895 q^{49} +1.00000 q^{50} +(1.89791 + 8.31530i) q^{51} +(2.43651 - 3.05528i) q^{52} +(-2.49342 + 10.9244i) q^{53} +(-3.44198 + 4.31611i) q^{54} +(-2.24770 - 1.08244i) q^{55} +(0.231363 + 1.01367i) q^{56} +(-1.09956 - 0.529519i) q^{57} +(5.41323 + 6.78798i) q^{58} +(-3.16476 + 13.8657i) q^{59} +(0.273911 - 1.20008i) q^{60} +(8.48934 - 4.08825i) q^{61} +(2.33658 + 2.92998i) q^{62} +(0.962526 - 1.20697i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(3.52085 - 1.69555i) q^{65} +(-1.91468 + 2.40094i) q^{66} +(-5.32721 - 6.68011i) q^{67} +(6.24276 - 3.00635i) q^{68} +(2.00556 - 8.78692i) q^{69} +(-0.231363 + 1.01367i) q^{70} +(4.35320 + 5.45874i) q^{71} +(1.33774 + 0.644220i) q^{72} +(-1.23160 - 5.39599i) q^{73} +(5.76312 + 2.77537i) q^{74} +(0.767481 - 0.962391i) q^{75} +(-0.220618 + 0.966589i) q^{76} +(1.61726 - 2.02799i) q^{77} +(-1.07040 - 4.68974i) q^{78} +15.4220 q^{79} -1.00000 q^{80} +(0.520946 + 2.28242i) q^{81} +(2.11421 + 2.65113i) q^{82} +(-11.3508 + 5.46628i) q^{83} +(1.15311 + 0.555308i) q^{84} +6.92894 q^{85} +(-5.74497 + 3.16154i) q^{86} +10.6872 q^{87} +(2.24770 + 1.08244i) q^{88} +(13.8004 - 6.64594i) q^{89} +(0.925743 + 1.16084i) q^{90} +(0.904131 + 3.96126i) q^{91} -7.32194 q^{92} +4.61307 q^{93} +(0.792820 + 3.47357i) q^{94} +(-0.618157 + 0.775145i) q^{95} +(-0.273911 + 1.20008i) q^{96} +(7.72426 - 9.68591i) q^{97} +(5.33279 + 2.56814i) q^{98} +(-0.824254 - 3.61129i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9} + 3 q^{10} + 9 q^{11} + 2 q^{12} + 4 q^{13} + 13 q^{14} + 5 q^{15} - 3 q^{16} - q^{17} + 7 q^{18} - 2 q^{19} + 3 q^{20} - 2 q^{21} - 12 q^{22} - 19 q^{23} - 5 q^{24} - 3 q^{25} + 4 q^{26} + 17 q^{27} - q^{28} - 4 q^{29} - 2 q^{30} - 13 q^{31} - 3 q^{32} - 42 q^{33} - 8 q^{34} + 15 q^{35} + 2 q^{37} + 12 q^{38} - 39 q^{39} + 3 q^{40} - 4 q^{41} - 2 q^{42} - 13 q^{43} - 12 q^{44} - 7 q^{45} + 16 q^{46} + 16 q^{47} + 2 q^{48} + 4 q^{49} + 18 q^{50} + 7 q^{51} - 10 q^{52} + 14 q^{53} - 4 q^{54} + 12 q^{55} - 15 q^{56} + 45 q^{57} + 24 q^{58} - 16 q^{59} - 2 q^{60} + 24 q^{61} + 50 q^{62} - 33 q^{63} - 3 q^{64} - 4 q^{65} + 5 q^{67} + 13 q^{68} + 4 q^{69} + 15 q^{70} - 3 q^{71} + 7 q^{72} - 22 q^{73} - 12 q^{74} - 5 q^{75} + 12 q^{76} - 24 q^{77} + 31 q^{78} - 38 q^{79} - 18 q^{80} + 22 q^{81} - 11 q^{82} - 26 q^{83} - 2 q^{84} + 8 q^{85} - 41 q^{86} - 22 q^{87} - 12 q^{88} + 52 q^{89} + 7 q^{90} - 14 q^{91} + 2 q^{92} - 6 q^{93} + 2 q^{94} + 2 q^{95} + 2 q^{96} + 27 q^{97} + 32 q^{98} + 36 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9 + 3 * q^10 + 9 * q^11 + 2 * q^12 + 4 * q^13 + 13 * q^14 + 5 * q^15 - 3 * q^16 - q^17 + 7 * q^18 - 2 * q^19 + 3 * q^20 - 2 * q^21 - 12 * q^22 - 19 * q^23 - 5 * q^24 - 3 * q^25 + 4 * q^26 + 17 * q^27 - q^28 - 4 * q^29 - 2 * q^30 - 13 * q^31 - 3 * q^32 - 42 * q^33 - 8 * q^34 + 15 * q^35 + 2 * q^37 + 12 * q^38 - 39 * q^39 + 3 * q^40 - 4 * q^41 - 2 * q^42 - 13 * q^43 - 12 * q^44 - 7 * q^45 + 16 * q^46 + 16 * q^47 + 2 * q^48 + 4 * q^49 + 18 * q^50 + 7 * q^51 - 10 * q^52 + 14 * q^53 - 4 * q^54 + 12 * q^55 - 15 * q^56 + 45 * q^57 + 24 * q^58 - 16 * q^59 - 2 * q^60 + 24 * q^61 + 50 * q^62 - 33 * q^63 - 3 * q^64 - 4 * q^65 + 5 * q^67 + 13 * q^68 + 4 * q^69 + 15 * q^70 - 3 * q^71 + 7 * q^72 - 22 * q^73 - 12 * q^74 - 5 * q^75 + 12 * q^76 - 24 * q^77 + 31 * q^78 - 38 * q^79 - 18 * q^80 + 22 * q^81 - 11 * q^82 - 26 * q^83 - 2 * q^84 + 8 * q^85 - 41 * q^86 - 22 * q^87 - 12 * q^88 + 52 * q^89 + 7 * q^90 - 14 * q^91 + 2 * q^92 - 6 * q^93 + 2 * q^94 + 2 * q^95 + 2 * q^96 + 27 * q^97 + 32 * q^98 + 36 * q^99

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