LMFDB - Embedded newform 280.2.bj.e.131.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(131,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))

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

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

chi := DirichletCharacter("280.131");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bj (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$12$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			131.9
Character	$\chi$	$=$	280.131
Dual form			280.2.bj.e.171.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.743926 - 1.20274i) q^{2} +(1.94732 - 1.12428i) q^{3} +(-0.893147 - 1.78949i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.0964439 - 3.17849i) q^{6} +(-2.47009 + 0.947962i) q^{7} +(-2.81672 - 0.257032i) q^{8} +(1.02803 - 1.78060i) q^{9} +O(q^{10})$	\(q+(0.743926 - 1.20274i) q^{2} +(1.94732 - 1.12428i) q^{3} +(-0.893147 - 1.78949i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.0964439 - 3.17849i) q^{6} +(-2.47009 + 0.947962i) q^{7} +(-2.81672 - 0.257032i) q^{8} +(1.02803 - 1.78060i) q^{9} +(-0.669637 - 1.24563i) q^{10} +(0.656783 + 1.13758i) q^{11} +(-3.75114 - 2.48056i) q^{12} +3.02437 q^{13} +(-0.697421 + 3.67609i) q^{14} -2.24857i q^{15} +(-2.40458 + 3.19656i) q^{16} +(-0.313561 + 0.181034i) q^{17} +(-1.37682 - 2.56109i) q^{18} +(3.16395 + 1.82671i) q^{19} +(-1.99632 - 0.121259i) q^{20} +(-3.74428 + 4.62307i) q^{21} +(1.85681 + 0.0563405i) q^{22} +(5.74815 + 3.31870i) q^{23} +(-5.77403 + 2.66628i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(2.24991 - 3.63752i) q^{26} +2.12251i q^{27} +(3.90253 + 3.57355i) q^{28} -3.35458i q^{29} +(-2.70443 - 1.67277i) q^{30} +(-3.37591 - 5.84724i) q^{31} +(2.05579 + 5.27008i) q^{32} +(2.55793 + 1.47682i) q^{33} +(-0.0155296 + 0.511807i) q^{34} +(-0.414089 + 2.61315i) q^{35} +(-4.10456 - 0.249316i) q^{36} +(-3.89163 - 2.24684i) q^{37} +(4.55080 - 2.44646i) q^{38} +(5.88941 - 3.40026i) q^{39} +(-1.63096 + 2.31084i) q^{40} -4.07897i q^{41} +(2.77486 + 7.94261i) q^{42} -5.01967 q^{43} +(1.44909 - 2.19134i) q^{44} +(-1.02803 - 1.78060i) q^{45} +(8.26772 - 4.44464i) q^{46} +(-6.23329 + 10.7964i) q^{47} +(-1.08863 + 8.92815i) q^{48} +(5.20274 - 4.68311i) q^{49} +(-1.41356 - 0.0428912i) q^{50} +(-0.407068 + 0.705063i) q^{51} +(-2.70121 - 5.41210i) q^{52} +(2.39639 - 1.38356i) q^{53} +(2.55281 + 1.57899i) q^{54} +1.31357 q^{55} +(7.20123 - 2.03525i) q^{56} +8.21496 q^{57} +(-4.03467 - 2.49556i) q^{58} +(-11.5288 + 6.65617i) q^{59} +(-4.02380 + 2.00830i) q^{60} +(-5.04721 + 8.74202i) q^{61} +(-9.54411 - 0.289593i) q^{62} +(-0.851393 + 5.37279i) q^{63} +(7.86787 + 1.44797i) q^{64} +(1.51219 - 2.61918i) q^{65} +(3.67914 - 1.97787i) q^{66} +(-0.897462 - 1.55445i) q^{67} +(0.604016 + 0.399425i) q^{68} +14.9246 q^{69} +(2.83487 + 2.44203i) q^{70} -12.4911i q^{71} +(-3.35335 + 4.75123i) q^{72} +(7.83291 - 4.52233i) q^{73} +(-5.59744 + 3.00913i) q^{74} +(-1.94732 - 1.12428i) q^{75} +(0.443009 - 7.29339i) q^{76} +(-2.70070 - 2.18733i) q^{77} +(0.291682 - 9.61295i) q^{78} +(7.89731 + 4.55951i) q^{79} +(1.56602 + 3.68071i) q^{80} +(5.47040 + 9.47500i) q^{81} +(-4.90593 - 3.03446i) q^{82} +10.7568i q^{83} +(11.6172 + 2.57129i) q^{84} +0.362069i q^{85} +(-3.73427 + 6.03734i) q^{86} +(-3.77150 - 6.53243i) q^{87} +(-1.55758 - 3.37307i) q^{88} +(-1.99844 - 1.15380i) q^{89} +(-2.90638 - 0.0881871i) q^{90} +(-7.47049 + 2.86699i) q^{91} +(0.804843 - 13.2504i) q^{92} +(-13.1479 - 7.59096i) q^{93} +(8.34808 + 15.5287i) q^{94} +(3.16395 - 1.82671i) q^{95} +(9.92835 + 7.95122i) q^{96} -2.74318i q^{97} +(-1.76209 - 9.74141i) q^{98} +2.70078 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 8 q^{12} - 20 q^{13} - 15 q^{14} - 3 q^{16} + 6 q^{17} - 27 q^{18} + 18 q^{19} + 2 q^{20} + 26 q^{21} - 16 q^{22} - 18 q^{23} + 6 q^{24} - 12 q^{25} - 29 q^{26} + 3 q^{28} + 10 q^{30} + 6 q^{31} - 33 q^{32} + 12 q^{33} + 20 q^{34} - 8 q^{35} - 22 q^{36} + 9 q^{38} + 18 q^{39} - 3 q^{40} - 12 q^{42} + 32 q^{43} - 25 q^{44} - 12 q^{45} + 53 q^{46} + 14 q^{48} + 8 q^{49} - 22 q^{51} - 31 q^{52} - 30 q^{53} + 10 q^{54} + 16 q^{55} + 16 q^{56} - 44 q^{57} + 30 q^{58} - 18 q^{59} + 10 q^{60} - 22 q^{61} - 8 q^{62} + 12 q^{63} + 58 q^{64} - 10 q^{65} - 8 q^{66} - 8 q^{67} - 6 q^{68} + 12 q^{69} + 3 q^{70} - 23 q^{72} + 30 q^{73} - 43 q^{74} - 12 q^{75} - 8 q^{76} + 32 q^{77} - 8 q^{78} - 6 q^{79} + 3 q^{80} - 4 q^{81} - 27 q^{82} - 16 q^{84} - 36 q^{86} - 14 q^{87} + 49 q^{88} - 60 q^{89} - 24 q^{90} + 18 q^{91} - 38 q^{92} + 18 q^{93} + 11 q^{94} + 18 q^{95} + 2 q^{96} - 19 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 8 * q^12 - 20 * q^13 - 15 * q^14 - 3 * q^16 + 6 * q^17 - 27 * q^18 + 18 * q^19 + 2 * q^20 + 26 * q^21 - 16 * q^22 - 18 * q^23 + 6 * q^24 - 12 * q^25 - 29 * q^26 + 3 * q^28 + 10 * q^30 + 6 * q^31 - 33 * q^32 + 12 * q^33 + 20 * q^34 - 8 * q^35 - 22 * q^36 + 9 * q^38 + 18 * q^39 - 3 * q^40 - 12 * q^42 + 32 * q^43 - 25 * q^44 - 12 * q^45 + 53 * q^46 + 14 * q^48 + 8 * q^49 - 22 * q^51 - 31 * q^52 - 30 * q^53 + 10 * q^54 + 16 * q^55 + 16 * q^56 - 44 * q^57 + 30 * q^58 - 18 * q^59 + 10 * q^60 - 22 * q^61 - 8 * q^62 + 12 * q^63 + 58 * q^64 - 10 * q^65 - 8 * q^66 - 8 * q^67 - 6 * q^68 + 12 * q^69 + 3 * q^70 - 23 * q^72 + 30 * q^73 - 43 * q^74 - 12 * q^75 - 8 * q^76 + 32 * q^77 - 8 * q^78 - 6 * q^79 + 3 * q^80 - 4 * q^81 - 27 * q^82 - 16 * q^84 - 36 * q^86 - 14 * q^87 + 49 * q^88 - 60 * q^89 - 24 * q^90 + 18 * q^91 - 38 * q^92 + 18 * q^93 + 11 * q^94 + 18 * q^95 + 2 * q^96 - 19 * q^98 - 56 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$1$	$-1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.743926	−	1.20274i	0.526035	−	0.850463i
$2$	0.743926	−	1.20274i	0.526035	−	0.850463i
$3$	1.94732	−	1.12428i	1.12428	−	0.649106i	0.181793	−	0.983337i	$-0.441810\pi$
$3$	1.94732	−	1.12428i	1.12428	−	0.649106i	0.942491	+	0.334231i	$0.108476\pi$
$4$	−0.893147	−	1.78949i	−0.446574	−	0.894747i
$5$	0.500000	−	0.866025i	0.223607	−	0.387298i
$5$	0.500000	−	0.866025i	0.223607	−	0.387298i
$6$	0.0964439	−	3.17849i	0.0393730	−	1.29761i
$7$	−2.47009	+	0.947962i	−0.933608	+	0.358296i
$7$	−2.47009	+	0.947962i	−0.933608	+	0.358296i
$8$	−2.81672	−	0.257032i	−0.995862	−	0.0908744i
$9$	1.02803	−	1.78060i	0.342677	−	0.593534i
$10$	−0.669637	−	1.24563i	−0.211758	−	0.393902i
$11$	0.656783	+	1.13758i	0.198028	+	0.342994i	0.947889	−	0.318601i	$-0.103213\pi$
$11$	0.656783	+	1.13758i	0.198028	+	0.342994i	−0.749861	+	0.661595i	$0.769880\pi$
$12$	−3.75114	−	2.48056i	−1.08286	−	0.716077i
$13$	3.02437			0.838810			0.419405	−	0.907799i	$-0.362239\pi$
$13$	3.02437			0.838810			0.419405	+	0.907799i	$0.362239\pi$
$14$	−0.697421	+	3.67609i	−0.186394	+	0.982475i
$15$		−	2.24857i		−	0.580578i
$16$	−2.40458	+	3.19656i	−0.601144	+	0.799141i
$17$	−0.313561	+	0.181034i	−0.0760497	+	0.0439073i	−0.537543	−	0.843237i	$-0.680647\pi$
$17$	−0.313561	+	0.181034i	−0.0760497	+	0.0439073i	0.461493	+	0.887144i	$0.347314\pi$
$18$	−1.37682	−	2.56109i	−0.324519	−	0.603654i
$19$	3.16395	+	1.82671i	0.725861	+	0.419076i	0.816906	−	0.576771i	$-0.195687\pi$
$19$	3.16395	+	1.82671i	0.725861	+	0.419076i	−0.0910453	+	0.995847i	$0.529021\pi$
$20$	−1.99632	−	0.121259i	−0.446391	−	0.0271143i
$21$	−3.74428	+	4.62307i	−0.817069	+	1.00884i
$22$	1.85681	+	0.0563405i	0.395873	+	0.0120118i
$23$	5.74815	+	3.31870i	1.19857	+	0.691996i	0.960237	−	0.279186i	$-0.0900647\pi$
$23$	5.74815	+	3.31870i	1.19857	+	0.691996i	0.238336	+	0.971183i	$0.423398\pi$
$24$	−5.77403	+	2.66628i	−1.17862	+	0.544252i
$25$	−0.500000	−	0.866025i	−0.100000	−	0.173205i
$26$	2.24991	−	3.63752i	0.441244	−	0.713377i
$27$			2.12251i			0.408476i
$28$	3.90253	+	3.57355i	0.737509	+	0.675338i
$29$		−	3.35458i		−	0.622929i	−0.950258	−	0.311465i	$-0.899180\pi$
$29$		−	3.35458i		−	0.622929i	0.950258	−	0.311465i	$-0.100820\pi$
$30$	−2.70443	−	1.67277i	−0.493760	−	0.305405i
$31$	−3.37591	−	5.84724i	−0.606330	−	1.05020i	−0.991840	−	0.127491i	$-0.959308\pi$
$31$	−3.37591	−	5.84724i	−0.606330	−	1.05020i	0.385509	−	0.922704i	$-0.374026\pi$
$32$	2.05579	+	5.27008i	0.363416	+	0.931627i
$33$	2.55793	+	1.47682i	0.445279	+	0.257082i
$34$	−0.0155296	+	0.511807i	−0.00266330	+	0.0877742i
$35$	−0.414089	+	2.61315i	−0.0699938	+	0.441702i
$36$	−4.10456	−	0.249316i	−0.684094	−	0.0415527i
$37$	−3.89163	−	2.24684i	−0.639781	−	0.369378i	0.144749	−	0.989468i	$-0.453762\pi$
$37$	−3.89163	−	2.24684i	−0.639781	−	0.369378i	−0.784530	+	0.620091i	$0.787096\pi$
$38$	4.55080	−	2.44646i	0.738237	−	0.396869i
$39$	5.88941	−	3.40026i	0.943061	−	0.544477i
$40$	−1.63096	+	2.31084i	−0.257877	+	0.365376i
$41$		−	4.07897i		−	0.637029i	−0.947918	−	0.318514i	$-0.896816\pi$
$41$		−	4.07897i		−	0.637029i	0.947918	−	0.318514i	$-0.103184\pi$
$42$	2.77486	+	7.94261i	0.428171	+	1.22557i
$43$	−5.01967			−0.765493			−0.382746	−	0.923853i	$-0.625022\pi$
$43$	−5.01967			−0.765493			−0.382746	+	0.923853i	$0.625022\pi$
$44$	1.44909	−	2.19134i	0.218459	−	0.330357i
$45$	−1.02803	−	1.78060i	−0.153250	−	0.265437i
$46$	8.26772	−	4.44464i	1.21901	−	0.655327i
$47$	−6.23329	+	10.7964i	−0.909219	+	1.57481i	−0.0940684	+	0.995566i	$0.529987\pi$
$47$	−6.23329	+	10.7964i	−0.909219	+	1.57481i	−0.815151	+	0.579249i	$0.803346\pi$
$48$	−1.08863	+	8.92815i	−0.157130	+	1.28867i
$49$	5.20274	−	4.68311i	0.743248	−	0.669016i
$50$	−1.41356	−	0.0428912i	−0.199908	−	0.00606573i
$51$	−0.407068	+	0.705063i	−0.0570010	+	0.0987286i
$52$	−2.70121	−	5.41210i	−0.374590	−	0.750523i
$53$	2.39639	−	1.38356i	0.329170	−	0.190046i	−0.326303	−	0.945265i	$-0.605803\pi$
$53$	2.39639	−	1.38356i	0.329170	−	0.190046i	0.655473	+	0.755219i	$0.272469\pi$
$54$	2.55281	+	1.57899i	0.347394	+	0.214873i
$55$	1.31357			0.177121
$56$	7.20123	−	2.03525i	0.962305	−	0.271972i
$57$	8.21496			1.08810
$58$	−4.03467	−	2.49556i	−0.529778	−	0.327683i
$59$	−11.5288	+	6.65617i	−1.50093	+	0.866559i	−0.500926	+	0.865490i	$0.667007\pi$
$59$	−11.5288	+	6.65617i	−1.50093	+	0.866559i	−0.999999	+	0.00106912i	$0.999660\pi$
$60$	−4.02380	+	2.00830i	−0.519470	+	0.259271i
$61$	−5.04721	+	8.74202i	−0.646229	+	1.11930i	0.337787	+	0.941222i	$0.390322\pi$
$61$	−5.04721	+	8.74202i	−0.646229	+	1.11930i	−0.984016	+	0.178079i	$0.943012\pi$
$62$	−9.54411	−	0.289593i	−1.21210	−	0.0367784i
$63$	−0.851393	+	5.37279i	−0.107265	+	0.676908i
$64$	7.86787	+	1.44797i	0.983484	+	0.180997i
$65$	1.51219	−	2.61918i	0.187564	−	0.324870i
$66$	3.67914	−	1.97787i	0.452871	−	0.243459i
$67$	−0.897462	−	1.55445i	−0.109642	−	0.189906i	0.805983	−	0.591939i	$-0.201637\pi$
$67$	−0.897462	−	1.55445i	−0.109642	−	0.189906i	−0.915625	+	0.402032i	$0.868304\pi$
$68$	0.604016	+	0.399425i	0.0732477	+	0.0484374i
$69$	14.9246			1.79672
$70$	2.83487	+	2.44203i	0.338832	+	0.291878i
$71$		−	12.4911i		−	1.48242i	−0.671276	−	0.741208i	$-0.734253\pi$
$71$		−	12.4911i		−	1.48242i	0.671276	−	0.741208i	$-0.265747\pi$
$72$	−3.35335	+	4.75123i	−0.395197	+	0.559938i
$73$	7.83291	−	4.52233i	0.916772	−	0.529299i	0.0341685	−	0.999416i	$-0.489122\pi$
$73$	7.83291	−	4.52233i	0.916772	−	0.529299i	0.882604	+	0.470117i	$0.155788\pi$
$74$	−5.59744	+	3.00913i	−0.650689	+	0.349804i
$75$	−1.94732	−	1.12428i	−0.224857	−	0.129821i
$76$	0.443009	−	7.29339i	0.0508167	−	0.836610i
$77$	−2.70070	−	2.18733i	−0.307774	−	0.249269i
$78$	0.291682	−	9.61295i	0.0330265	−	1.08845i
$79$	7.89731	+	4.55951i	0.888517	+	0.512985i	0.873457	−	0.486901i	$-0.161873\pi$
$79$	7.89731	+	4.55951i	0.888517	+	0.512985i	0.0150598	+	0.999887i	$0.495206\pi$
$80$	1.56602	+	3.68071i	0.175086	+	0.411515i
$81$	5.47040	+	9.47500i	0.607822	+	1.05278i
$82$	−4.90593	−	3.03446i	−0.541769	−	0.335100i
$83$			10.7568i			1.18072i	0.807141	+	0.590359i	$0.201014\pi$
$83$			10.7568i			1.18072i	−0.807141	+	0.590359i	$0.798986\pi$
$84$	11.6172	+	2.57129i	1.26754	+	0.280550i
$85$			0.362069i			0.0392719i
$86$	−3.73427	+	6.03734i	−0.402676	+	0.651023i
$87$	−3.77150	−	6.53243i	−0.404347	−	0.700350i
$88$	−1.55758	−	3.37307i	−0.166039	−	0.359570i
$89$	−1.99844	−	1.15380i	−0.211834	−	0.122302i	0.390329	−	0.920675i	$-0.372361\pi$
$89$	−1.99844	−	1.15380i	−0.211834	−	0.122302i	−0.602163	+	0.798373i	$0.705694\pi$
$90$	−2.90638	−	0.0881871i	−0.306359	−	0.00929573i
$91$	−7.47049	+	2.86699i	−0.783120	+	0.300542i
$92$	0.804843	−	13.2504i	0.0839107	−	1.38145i
$93$	−13.1479	−	7.59096i	−1.36338	−	0.787145i
$94$	8.34808	+	15.5287i	0.861039	+	1.60167i
$95$	3.16395	−	1.82671i	0.324615	−	0.187416i
$96$	9.92835	+	7.95122i	1.01331	+	0.811518i
$97$		−	2.74318i		−	0.278528i	−0.990255	−	0.139264i	$-0.955526\pi$
$97$		−	2.74318i		−	0.278528i	0.990255	−	0.139264i	$-0.0444737\pi$
$98$	−1.76209	−	9.74141i	−0.177998	−	0.984031i
$99$	2.70078			0.271438
$100$	−1.10317	+	1.66823i	−0.110317	+	0.166823i
$101$	4.56687	+	7.91006i	0.454421	+	0.787080i	0.998655	−	0.0518536i	$-0.0165129\pi$
$101$	4.56687	+	7.91006i	0.454421	+	0.787080i	−0.544234	+	0.838934i	$0.683180\pi$
$102$	0.545176	+	1.01411i	0.0539805	+	0.100412i
$103$	−8.96856	+	15.5340i	−0.883699	+	1.53061i	−0.0365014	+	0.999334i	$0.511621\pi$
$103$	−8.96856	+	15.5340i	−0.883699	+	1.53061i	−0.847198	+	0.531278i	$0.821712\pi$
$104$	−8.51882	−	0.777360i	−0.835339	−	0.0762264i
$105$	2.13156	+	5.55418i	0.208019	+	0.542032i
$106$	0.118685	−	3.91149i	0.0115277	−	0.379918i
$107$	−7.57904	+	13.1273i	−0.732694	+	1.26906i	0.223034	+	0.974811i	$0.428404\pi$
$107$	−7.57904	+	13.1273i	−0.732694	+	1.26906i	−0.955728	+	0.294252i	$0.904929\pi$
$108$	3.79821	−	1.89571i	0.365483	−	0.182415i
$109$	13.2526	−	7.65137i	1.26937	−	0.732868i	0.294497	−	0.955652i	$-0.404848\pi$
$109$	13.2526	−	7.65137i	1.26937	−	0.732868i	0.974868	+	0.222784i	$0.0715144\pi$
$110$	0.977197	−	1.57987i	0.0931721	−	0.150635i
$111$	−10.1043			−0.959061
$112$	2.90931	−	10.1753i	0.274904	−	0.961472i
$113$	−15.2372			−1.43340			−0.716698	−	0.697384i	$-0.754347\pi$
$113$	−15.2372			−1.43340			−0.716698	+	0.697384i	$0.754347\pi$
$114$	6.11133	−	9.88043i	0.572378	−	0.925387i
$115$	5.74815	−	3.31870i	0.536018	−	0.309470i
$116$	−6.00299	+	2.99613i	−0.557364	+	0.278184i
$117$	3.10915	−	5.38521i	0.287441	−	0.497863i
$118$	−0.570982	+	18.8178i	−0.0525632	+	1.73232i
$119$	0.602911	−	0.744416i	0.0552688	−	0.0682405i
$120$	−0.577954	+	6.33360i	−0.0527597	+	0.578176i
$121$	4.63727	−	8.03199i	0.421570	−	0.730181i
$122$	6.75959	+	12.5739i	0.611985	+	1.13839i
$123$	−4.58593	−	7.94306i	−0.413499	−	0.716201i
$124$	−7.44842	+	11.2636i	−0.668888	+	1.01150i
$125$	−1.00000			−0.0894427
$126$	5.82868	+	5.02096i	0.519260	+	0.447303i
$127$		−	9.07992i		−	0.805713i	−0.915263	−	0.402856i	$-0.868017\pi$
$127$		−	9.07992i		−	0.805713i	0.915263	−	0.402856i	$-0.131983\pi$
$128$	7.59465	−	8.38578i	0.671278	−	0.741205i
$129$	−9.77490	+	5.64354i	−0.860632	+	0.496886i
$130$	−2.02523	−	3.76724i	−0.177624	−	0.330409i
$131$	−8.38219	−	4.83946i	−0.732356	−	0.422826i	0.0869277	−	0.996215i	$-0.472295\pi$
$131$	−8.38219	−	4.83946i	−0.732356	−	0.422826i	−0.819283	+	0.573389i	$0.805628\pi$
$132$	0.358156	−	5.89642i	0.0311735	−	0.513218i
$133$	−9.54691	−	1.51284i	−0.827822	−	0.131180i
$134$	−2.53724	−	0.0769864i	−0.219184	−	0.00665062i
$135$	1.83814	+	1.06125i	0.158202	+	0.0913381i
$136$	0.929746	−	0.429329i	0.0797250	−	0.0368147i
$137$	−10.9498	−	18.9657i	−0.935507	−	1.62035i	−0.773728	−	0.633518i	$-0.781610\pi$
$137$	−10.9498	−	18.9657i	−0.935507	−	1.62035i	−0.161779	−	0.986827i	$-0.551723\pi$
$138$	11.1028	−	17.9504i	0.945136	−	1.52804i
$139$		−	15.3183i		−	1.29928i	−0.760241	−	0.649641i	$-0.774919\pi$
$139$		−	15.3183i		−	1.29928i	0.760241	−	0.649641i	$-0.225081\pi$
$140$	5.04605	−	1.59291i	0.426469	−	0.134626i
$141$			28.0320i			2.36072i
$142$	−15.0234	−	9.29242i	−1.26074	−	0.779803i
$143$	1.98636	+	3.44047i	0.166108	+	0.287707i
$144$	3.21983	+	7.56777i	0.268319	+	0.630647i
$145$	−2.90515	−	1.67729i	−0.241259	−	0.139291i
$146$	0.387937	−	12.7852i	0.0321059	−	1.05811i
$147$	4.86624	−	14.9689i	0.401360	−	1.23461i
$148$	−0.544898	+	8.97081i	−0.0447903	+	0.737396i
$149$	−10.3555	−	5.97873i	−0.848352	−	0.489797i	0.0117422	−	0.999931i	$-0.496262\pi$
$149$	−10.3555	−	5.97873i	−0.848352	−	0.489797i	−0.860095	+	0.510135i	$0.829596\pi$
$150$	−2.80088	+	1.50572i	−0.228691	+	0.122942i
$151$	13.0976	−	7.56188i	1.06586	−	0.615377i	0.138816	−	0.990318i	$-0.455670\pi$
$151$	13.0976	−	7.56188i	1.06586	−	0.615377i	0.927049	+	0.374941i	$0.122337\pi$
$152$	−8.44246	−	5.95857i	−0.684774	−	0.483304i
$153$			0.744437i			0.0601841i
$154$	−4.63990	+	1.62102i	−0.373894	+	0.130625i
$155$	−6.75181			−0.542318
$156$	−11.3448	−	7.50214i	−0.908315	−	0.600652i
$157$	−2.84274	−	4.92377i	−0.226876	−	0.392960i	0.730005	−	0.683442i	$-0.239518\pi$
$157$	−2.84274	−	4.92377i	−0.226876	−	0.392960i	−0.956880	+	0.290482i	$0.906184\pi$
$158$	11.3589	−	6.10644i	0.903666	−	0.485802i
$159$	3.11103	−	5.38846i	0.246720	−	0.427332i
$160$	5.59192	+	0.854670i	0.442080	+	0.0675676i
$161$	−17.3445	−	2.74847i	−1.36694	−	0.216610i
$162$	15.4655	+	0.469264i	1.21508	+	0.0368689i
$163$	5.69372	−	9.86181i	0.445966	−	0.772437i	−0.552153	−	0.833743i	$-0.686193\pi$
$163$	5.69372	−	9.86181i	0.445966	−	0.772437i	0.998119	+	0.0613066i	$0.0195267\pi$
$164$	−7.29930	+	3.64312i	−0.569979	+	0.284480i
$165$	2.55793	−	1.47682i	0.199135	−	0.114971i
$166$	12.9376	+	8.00230i	1.00416	+	0.621099i
$167$	−5.82363			−0.450646			−0.225323	−	0.974284i	$-0.572344\pi$
$167$	−5.82363			−0.450646			−0.225323	+	0.974284i	$0.572344\pi$
$168$	11.7349	−	12.0595i	0.905366	−	0.930412i
$169$	−3.85317			−0.296398
$170$	0.435473	+	0.269353i	0.0333993	+	0.0206584i
$171$	6.50529	−	3.75583i	0.497472	−	0.287216i
$172$	4.48331	+	8.98267i	0.341849	+	0.684922i
$173$	−0.665524	+	1.15272i	−0.0505989	+	0.0876398i	−0.890216	−	0.455540i	$-0.849446\pi$
$173$	−0.665524	+	1.15272i	−0.0505989	+	0.0876398i	0.839617	+	0.543179i	$0.182780\pi$
$174$	−10.6625	−	0.323528i	−0.808322	−	0.0245266i
$175$	2.05601	+	1.66518i	0.155419	+	0.125876i
$176$	−5.21564	−	0.635954i	−0.393144	−	0.0479369i
$177$	−14.9669	+	25.9234i	−1.12498	+	1.94852i
$178$	−2.87440	+	1.54525i	−0.215446	+	0.115821i
$179$	0.321093	+	0.556150i	0.0239996	+	0.0415686i	0.877776	−	0.479072i	$-0.159027\pi$
$179$	0.321093	+	0.556150i	0.0239996	+	0.0415686i	−0.853776	+	0.520640i	$0.825693\pi$
$180$	−2.26820	+	3.43000i	−0.169061	+	0.255657i
$181$	15.3953			1.14432			0.572162	−	0.820141i	$-0.306105\pi$
$181$	15.3953			1.14432			0.572162	+	0.820141i	$0.306105\pi$
$182$	−2.10926	+	11.1179i	−0.156349	+	0.824110i
$183$			22.6980i			1.67788i
$184$	−15.3380	−	10.8253i	−1.13073	−	0.798053i
$185$	−3.89163	+	2.24684i	−0.286119	+	0.165191i
$186$	−18.9110	+	10.1664i	−1.38662	+	0.745434i
$187$	−0.411883	−	0.237801i	−0.0301199	−	0.0173897i
$188$	24.8873	+	1.51168i	1.81509	+	0.110251i
$189$	−2.01205	−	5.24279i	−0.146355	−	0.381357i
$190$	0.156700	−	5.16434i	0.0113682	−	0.374660i
$191$	4.72451	+	2.72770i	0.341853	+	0.197369i	0.661091	−	0.750305i	$-0.270094\pi$
$191$	4.72451	+	2.72770i	0.341853	+	0.197369i	−0.319238	+	0.947675i	$0.603427\pi$
$192$	16.9492	−	6.02606i	1.22320	−	0.434893i
$193$	−0.821266	−	1.42248i	−0.0591160	−	0.102392i	0.834953	−	0.550322i	$-0.185495\pi$
$193$	−0.821266	−	1.42248i	−0.0591160	−	0.102392i	−0.894069	+	0.447930i	$0.852162\pi$
$194$	−3.29933	−	2.04073i	−0.236878	−	0.146516i
$195$		−	6.80051i		−	0.486995i
$196$	−13.0272	−	5.12756i	−0.930515	−	0.366254i
$197$			25.8538i			1.84201i	0.389555	+	0.921003i	$0.372629\pi$
$197$			25.8538i			1.84201i	−0.389555	+	0.921003i	$0.627371\pi$
$198$	2.00918	−	3.24832i	0.142786	−	0.230848i
$199$	−6.42513	−	11.1287i	−0.455465	−	0.788889i	0.543249	−	0.839571i	$-0.317194\pi$
$199$	−6.42513	−	11.1287i	−0.455465	−	0.788889i	−0.998715	+	0.0506821i	$0.983860\pi$
$200$	1.18577	+	2.56787i	0.0838463	+	0.181576i
$201$	−3.49529	−	2.01800i	−0.246538	−	0.142339i
$202$	12.9111	+	0.391757i	0.908424	+	0.0275640i
$203$	3.18001	+	8.28612i	0.223193	+	0.581572i
$204$	1.62528	+	0.0987213i	0.113792	+	0.00691187i
$205$	−3.53249	−	2.03949i	−0.246720	−	0.142444i
$206$	12.0114	+	22.3430i	0.836871	+	1.55671i
$207$	11.8186	−	6.82346i	0.821447	−	0.474263i
$208$	−7.27233	+	9.66759i	−0.504246	+	0.670327i
$209$			4.79901i			0.331954i
$210$	8.26593	+	1.56820i	0.570404	+	0.108216i
$211$	27.2452			1.87563			0.937817	−	0.347130i	$-0.112844\pi$
$211$	27.2452			1.87563			0.937817	+	0.347130i	$0.112844\pi$
$212$	−4.61620	−	3.05261i	−0.317042	−	0.209654i
$213$	−14.0435	−	24.3241i	−0.962245	−	1.66666i
$214$	10.1504	+	18.8813i	0.693868	+	1.29070i
$215$	−2.50984	+	4.34716i	−0.171169	+	0.296474i
$216$	0.545551	−	5.97851i	0.0371201	−	0.406786i
$217$	13.8818	+	11.2430i	0.942356	+	0.763225i
$218$	0.656353	−	21.6314i	0.0444539	−	1.46506i
$219$	10.1688	−	17.6128i	0.687142	−	1.19017i
$220$	−1.17321	−	2.35062i	−0.0790977	−	0.158479i
$221$	−0.948325	+	0.547515i	−0.0637912	+	0.0368299i
$222$	−7.51688	+	12.1528i	−0.504500	+	0.815646i
$223$	−15.5595			−1.04194			−0.520971	−	0.853575i	$-0.674430\pi$
$223$	−15.5595			−1.04194			−0.520971	+	0.853575i	$0.674430\pi$
$224$	−10.0738	−	11.0688i	−0.673086	−	0.739564i
$225$	−2.05606			−0.137071
$226$	−11.3354	+	18.3263i	−0.754017	+	1.21905i
$227$	14.7364	−	8.50808i	0.978091	−	0.564701i	0.0763977	−	0.997077i	$-0.475658\pi$
$227$	14.7364	−	8.50808i	0.978091	−	0.564701i	0.901693	+	0.432376i	$0.142325\pi$
$228$	−7.33717	−	14.7006i	−0.485916	−	0.973573i
$229$	2.15225	−	3.72781i	0.142225	−	0.246341i	−0.786109	−	0.618088i	$-0.787908\pi$
$229$	2.15225	−	3.72781i	0.142225	−	0.246341i	0.928334	+	0.371747i	$0.121241\pi$
$230$	0.284686	−	9.38238i	0.0187716	−	0.618656i
$231$	−7.71831	−	1.22307i	−0.507827	−	0.0804722i
$232$	−0.862232	+	9.44891i	−0.0566083	+	0.620352i
$233$	2.00127	−	3.46631i	0.131108	−	0.227085i	−0.792996	−	0.609227i	$-0.791480\pi$
$233$	2.00127	−	3.46631i	0.131108	−	0.227085i	0.924104	+	0.382141i	$0.124813\pi$
$234$	−4.16400	−	7.74569i	−0.272209	−	0.506351i
$235$	6.23329	+	10.7964i	0.406615	+	0.704278i
$236$	22.2081	+	14.6858i	1.44562	+	0.955966i
$237$	20.5048			1.33193
$238$	−0.446814	−	1.27893i	−0.0289626	−	0.0829009i
$239$		−	14.5547i		−	0.941465i	−0.882276	−	0.470732i	$-0.843990\pi$
$239$		−	14.5547i		−	0.941465i	0.882276	−	0.470732i	$-0.156010\pi$
$240$	7.18769	+	5.40686i	0.463964	+	0.349011i
$241$	−6.38377	+	3.68567i	−0.411215	+	0.237415i	−0.691312	−	0.722557i	$-0.742967\pi$
$241$	−6.38377	+	3.68567i	−0.411215	+	0.237415i	0.280097	+	0.959972i	$0.409633\pi$
$242$	−6.21057	−	11.5526i	−0.399231	−	0.742631i
$243$	15.7908	+	9.11681i	1.01298	+	0.584843i
$244$	20.1517	+	1.22404i	1.29008	+	0.0783610i
$245$	−1.45432	−	6.84726i	−0.0929133	−	0.437455i
$246$	−12.9650	−	0.393392i	−0.826618	−	0.0250818i
$247$	9.56897	+	5.52465i	0.608859	+	0.351525i
$248$	8.00607	+	17.3378i	0.508386	+	1.10095i
$249$	12.0938	+	20.9470i	0.766411	+	1.32746i
$250$	−0.743926	+	1.20274i	−0.0470500	+	0.0760677i
$251$			10.8136i			0.682546i	0.939964	+	0.341273i	$0.110858\pi$
$251$			10.8136i			0.682546i	−0.939964	+	0.341273i	$0.889142\pi$
$252$	10.3750	−	3.27513i	0.653564	−	0.206314i
$253$			8.71866i			0.548138i
$254$	−10.9208	−	6.75479i	−0.685229	−	0.423834i
$255$	0.407068	+	0.705063i	0.0254916	+	0.0441528i
$256$	−4.43602	−	15.3728i	−0.277251	−	0.960797i
$257$	−2.68819	−	1.55202i	−0.167684	−	0.0968126i	0.413809	−	0.910364i	$-0.364198\pi$
$257$	−2.68819	−	1.55202i	−0.167684	−	0.0968126i	−0.581494	+	0.813551i	$0.697531\pi$
$258$	−0.484117	+	15.9550i	−0.0301398	+	0.993315i
$259$	11.7426	+	1.86078i	0.729651	+	0.115623i
$260$	−6.03762	−	0.366732i	−0.374437	−	0.0227438i
$261$	−5.97317	−	3.44861i	−0.369730	−	0.213464i
$262$	−12.0563	+	6.48136i	−0.744843	+	0.400420i
$263$	−5.41133	+	3.12423i	−0.333677	+	0.192648i	−0.657472	−	0.753479i	$-0.728374\pi$
$263$	−5.41133	+	3.12423i	−0.333677	+	0.192648i	0.323796	+	0.946127i	$0.395041\pi$
$264$	−6.82540	−	4.81727i	−0.420074	−	0.296483i
$265$		−	2.76712i		−	0.169983i
$266$	−8.92175	+	10.3570i	−0.547027	+	0.635027i
$267$	−5.18879			−0.317549
$268$	−1.98011	+	2.99435i	−0.120955	+	0.182909i
$269$	−6.43871	−	11.1522i	−0.392575	−	0.679960i	0.600213	−	0.799840i	$-0.295082\pi$
$269$	−6.43871	−	11.1522i	−0.392575	−	0.679960i	−0.992788	+	0.119880i	$0.961749\pi$
$270$	2.64385	−	1.42131i	0.160900	−	0.0864980i
$271$	2.05720	−	3.56317i	0.124966	−	0.216447i	−0.796754	−	0.604304i	$-0.793451\pi$
$271$	2.05720	−	3.56317i	0.124966	−	0.216447i	0.921720	+	0.387857i	$0.126785\pi$
$272$	0.175293	−	1.43763i	0.0106287	−	0.0871690i
$273$	−11.3241	+	13.9819i	−0.685366	+	0.846223i
$274$	−30.9565	−	0.939303i	−1.87015	−	0.0567454i
$275$	0.656783	−	1.13758i	0.0396055	−	0.0685988i
$276$	−13.3299	−	26.7076i	−0.802366	−	1.60761i
$277$	0.0523704	−	0.0302361i	0.00314663	−	0.00181671i	−0.498426	−	0.866932i	$-0.666088\pi$
$277$	0.0523704	−	0.0302361i	0.00314663	−	0.00181671i	0.501572	+	0.865116i	$0.332755\pi$
$278$	−18.4239	−	11.3957i	−1.10499	−	0.683468i
$279$	−13.8822			−0.831103
$280$	1.83803	−	7.25408i	0.109844	−	0.433514i
$281$	20.2504			1.20804			0.604018	−	0.796971i	$-0.293566\pi$
$281$	20.2504			1.20804			0.604018	+	0.796971i	$0.293566\pi$
$282$	33.7151	+	20.8537i	2.00770	+	1.24182i
$283$	0.856074	−	0.494255i	0.0508883	−	0.0293804i	−0.474340	−	0.880342i	$-0.657313\pi$
$283$	0.856074	−	0.494255i	0.0508883	−	0.0293804i	0.525228	+	0.850961i	$0.323980\pi$
$284$	−22.3527	+	11.1563i	−1.32639	+	0.662007i
$285$	4.10748	−	7.11437i	0.243306	−	0.421419i
$286$	5.61568	+	0.170395i	0.332062	+	0.0100756i
$287$	3.86671	+	10.0755i	0.228245	+	0.594735i
$288$	11.4973	+	1.75726i	0.677487	+	0.103547i
$289$	−8.43445	+	14.6089i	−0.496144	+	0.859347i
$290$	−4.17855	+	2.24635i	−0.245373	+	0.131910i
$291$	−3.08412	−	5.34185i	−0.180794	−	0.313145i
$292$	−15.0886	−	9.97783i	−0.882995	−	0.583909i
$293$	−1.28131			−0.0748550			−0.0374275	−	0.999299i	$-0.511916\pi$
$293$	−1.28131			−0.0748550			−0.0374275	+	0.999299i	$0.511916\pi$
$294$	−14.3835	−	16.9885i	−0.838861	−	0.990791i
$295$			13.3123i			0.775074i
$296$	10.3842	+	7.32899i	0.603567	+	0.425989i
$297$	−2.41453	+	1.39403i	−0.140105	+	0.0808896i
$298$	−14.8945	+	8.00715i	−0.862817	+	0.463842i
$299$	17.3846	+	10.0370i	1.00537	+	0.580453i
$300$	−0.272659	+	4.48887i	−0.0157420	+	0.259165i
$301$	12.3991	−	4.75846i	0.714670	−	0.274273i
$302$	0.648677	−	21.3784i	0.0373272	−	1.23019i
$303$	17.7863	+	10.2689i	1.02180	+	0.589935i
$304$	−13.4472	+	5.72131i	−0.771247	+	0.328140i
$305$	5.04721	+	8.74202i	0.289002	+	0.500567i
$306$	0.895361	+	0.553806i	0.0511844	+	0.0316590i
$307$		−	3.64739i		−	0.208168i	−0.994569	−	0.104084i	$-0.966809\pi$
$307$		−	3.64739i		−	0.208168i	0.994569	−	0.104084i	$-0.0331910\pi$
$308$	−1.50209	+	6.78650i	−0.0855896	+	0.386697i
$309$			40.3329i			2.29446i
$310$	−5.02285	+	8.12064i	−0.285279	+	0.461222i
$311$	−10.8206	−	18.7418i	−0.613580	−	1.06275i	−0.990632	−	0.136560i	$-0.956395\pi$
$311$	−10.8206	−	18.7418i	−0.613580	−	1.06275i	0.377051	−	0.926192i	$-0.376938\pi$
$312$	−17.4628	+	8.06381i	−0.988638	+	0.456524i
$313$	21.5795	+	12.4589i	1.21974	+	0.704219i	0.964863	−	0.262754i	$-0.0846308\pi$
$313$	21.5795	+	12.4589i	1.21974	+	0.704219i	0.254880	+	0.966973i	$0.417964\pi$
$314$	−8.03679	−	0.243857i	−0.453542	−	0.0137617i
$315$	4.22728	+	3.42372i	0.238180	+	0.192905i
$316$	1.10576	−	18.2045i	0.0622040	−	1.02408i
$317$	20.2359	+	11.6832i	1.13656	+	0.656193i	0.945576	−	0.325401i	$-0.105499\pi$
$317$	20.2359	+	11.6832i	1.13656	+	0.656193i	0.190983	+	0.981593i	$0.438833\pi$
$318$	−4.16652	−	7.75036i	−0.233647	−	0.434619i
$319$	3.81611	−	2.20323i	0.213661	−	0.123357i
$320$	5.18792	−	6.08979i	0.290013	−	0.340429i
$321$			34.0840i			1.90238i
$322$	−16.2087	+	18.8162i	−0.903276	+	1.04858i
$323$	−1.32279			−0.0736019
$324$	12.0696	−	18.2518i	0.670533	−	1.01399i
$325$	−1.51219	−	2.61918i	−0.0838810	−	0.145286i
$326$	−7.62544	−	14.1845i	−0.422334	−	0.785607i
$327$	17.2046	−	29.7993i	0.951419	−	1.64791i
$328$	−1.04843	+	11.4893i	−0.0578896	+	0.634393i
$329$	5.16227	−	32.5770i	0.284605	−	1.79603i
$330$	0.126685	−	4.17516i	0.00697381	−	0.229835i
$331$	2.24164	−	3.88263i	0.123211	−	0.213409i	−0.797821	−	0.602895i	$-0.794014\pi$
$331$	2.24164	−	3.88263i	0.123211	−	0.213409i	0.921032	+	0.389486i	$0.127347\pi$
$332$	19.2493	−	9.60745i	1.05644	−	0.527277i
$333$	−8.00145	+	4.61964i	−0.438477	+	0.253155i
$334$	−4.33235	+	7.00428i	−0.237056	+	0.383257i
$335$	−1.79492			−0.0980671
$336$	−5.77453	−	23.0854i	−0.315026	−	1.25941i
$337$	22.5587			1.22885			0.614427	−	0.788974i	$-0.289387\pi$
$337$	22.5587			1.22885			0.614427	+	0.788974i	$0.289387\pi$
$338$	−2.86648	+	4.63435i	−0.155916	+	0.252075i
$339$	−29.6717	+	17.1310i	−1.61154	+	0.930426i
$340$	0.647920	−	0.323381i	0.0351384	−	0.0175378i
$341$	4.43448	−	7.68074i	0.240140	−	0.415935i
$342$	0.322184	−	10.6182i	0.0174217	−	0.574167i
$343$	−8.41185	+	16.4997i	−0.454197	+	0.890901i
$344$	14.1390	+	1.29021i	0.762326	+	0.0695637i
$345$	7.46232	−	12.9251i	0.401758	−	0.695865i
$346$	0.891319	+	1.65799i	0.0479176	+	0.0891341i
$347$	8.80310	+	15.2474i	0.472575	+	0.818524i	0.999507	−	0.0313830i	$-0.00999117\pi$
$347$	8.80310	+	15.2474i	0.472575	+	0.818524i	−0.526932	+	0.849907i	$0.676658\pi$
$348$	−8.32123	+	12.5835i	−0.446065	+	0.674546i
$349$	−14.8958			−0.797356			−0.398678	−	0.917091i	$-0.630531\pi$
$349$	−14.8958			−0.797356			−0.398678	+	0.917091i	$0.630531\pi$
$350$	3.53229	−	1.23406i	0.188809	−	0.0659632i
$351$			6.41925i			0.342634i
$352$	−4.64494	+	5.79993i	−0.247576	+	0.309137i
$353$	10.8891	−	6.28685i	0.579571	−	0.334615i	−0.181392	−	0.983411i	$-0.558060\pi$
$353$	10.8891	−	6.28685i	0.579571	−	0.334615i	0.760963	+	0.648796i	$0.224727\pi$
$354$	20.0447	+	37.2862i	1.06536	+	1.98174i
$355$	−10.8176	−	6.24553i	−0.574137	−	0.331478i
$356$	−0.279817	+	4.60670i	−0.0148302	+	0.244155i
$357$	0.337125	−	2.12746i	0.0178425	−	0.112597i
$358$	0.907771	+	0.0275442i	0.0479772	+	0.00145575i
$359$	4.78717	+	2.76387i	0.252657	+	0.145872i	0.620980	−	0.783826i	$-0.286735\pi$
$359$	4.78717	+	2.76387i	0.252657	+	0.145872i	−0.368323	+	0.929698i	$0.620068\pi$
$360$	2.43801	+	5.27971i	0.128494	+	0.278265i
$361$	−2.82627	−	4.89524i	−0.148751	−	0.257644i
$362$	11.4530	−	18.5165i	0.601955	−	0.973204i
$363$		−	20.8545i		−	1.09457i
$364$	11.8027	+	10.8077i	0.618630	+	0.566480i
$365$		−	9.04466i		−	0.473419i
$366$	27.2997	+	16.8856i	1.42698	+	0.882627i
$367$	−1.34845	−	2.33559i	−0.0703887	−	0.121917i	0.828683	−	0.559718i	$-0.189091\pi$
$367$	−1.34845	−	2.33559i	−0.0703887	−	0.121917i	−0.899072	+	0.437801i	$0.855757\pi$
$368$	−24.4303	+	10.3943i	−1.27352	+	0.541839i
$369$	−7.26303	−	4.19331i	−0.378098	−	0.218295i
$370$	−0.192739	+	6.35209i	−0.0100200	+	0.330229i
$371$	−4.60776	+	5.68921i	−0.239223	+	0.295369i
$372$	−1.84094	+	30.3080i	−0.0954484	+	1.57139i
$373$	−10.2505	−	5.91815i	−0.530753	−	0.306430i	0.210570	−	0.977579i	$-0.432468\pi$
$373$	−10.2505	−	5.91815i	−0.530753	−	0.306430i	−0.741323	+	0.671148i	$0.765801\pi$
$374$	−0.592422	+	0.318480i	−0.0306334	+	0.0164682i
$375$	−1.94732	+	1.12428i	−0.100559	+	0.0580578i
$376$	20.3325	−	28.8083i	1.04857	−	1.48567i
$377$		−	10.1455i		−	0.522519i
$378$	−7.80251	−	1.48028i	−0.401318	−	0.0761375i
$379$	−13.0284			−0.669223			−0.334611	−	0.942356i	$-0.608605\pi$
$379$	−13.0284			−0.669223			−0.334611	+	0.942356i	$0.608605\pi$
$380$	−6.09476	−	4.03035i	−0.312655	−	0.206753i
$381$	−10.2084	−	17.6815i	−0.522993	−	0.905851i
$382$	6.79538	−	3.65313i	0.347682	−	0.186910i
$383$	13.7424	−	23.8025i	0.702204	−	1.21625i	−0.265487	−	0.964114i	$-0.585533\pi$
$383$	13.7424	−	23.8025i	0.702204	−	1.21625i	0.967691	−	0.252138i	$-0.0811338\pi$
$384$	5.36119	−	24.8683i	0.273587	−	1.26906i
$385$	−3.24463	+	1.24521i	−0.165362	+	0.0634618i
$386$	−2.32182	−	0.0704502i	−0.118178	−	0.00358582i
$387$	−5.16038	+	8.93805i	−0.262317	+	0.454346i
$388$	−4.90891	+	2.45007i	−0.249212	+	0.124383i
$389$	−21.2638	+	12.2767i	−1.07812	+	0.622452i	−0.930388	−	0.366575i	$-0.880530\pi$
$389$	−21.2638	+	12.2767i	−1.07812	+	0.622452i	−0.147731	+	0.989028i	$0.547197\pi$
$390$	−8.17922	−	5.05908i	−0.414171	−	0.256176i
$391$	−2.40319			−0.121535
$392$	−15.8584	+	11.8538i	−0.800969	+	0.598705i
$393$	−21.7637			−1.09783
$394$	31.0953	+	19.2333i	1.56656	+	0.968961i
$395$	7.89731	−	4.55951i	0.397357	−	0.229414i
$396$	−2.41219	−	4.83302i	−0.121217	−	0.242869i
$397$	−17.4233	+	30.1781i	−0.874451	+	1.51459i	−0.0171051	+	0.999854i	$0.505445\pi$
$397$	−17.4233	+	30.1781i	−0.874451	+	1.51459i	−0.857346	+	0.514740i	$0.827888\pi$
$398$	−18.1647	−	0.551163i	−0.910512	−	0.0276273i
$399$	−20.2917	+	7.78747i	−1.01586	+	0.389861i
$400$	3.97059	+	0.484143i	0.198530	+	0.0242072i
$401$	9.18494	−	15.9088i	0.458674	−	0.794447i	−0.540217	−	0.841526i	$-0.681658\pi$
$401$	9.18494	−	15.9088i	0.458674	−	0.794447i	0.998891	+	0.0470788i	$0.0149912\pi$
$402$	−5.02736	+	2.70266i	−0.250742	+	0.134796i
$403$	−10.2100	−	17.6842i	−0.508596	−	0.880914i
$404$	10.0761	−	15.2372i	0.501305	−	0.758081i
$405$	10.9408			0.543652
$406$	12.3317	+	2.33955i	0.612012	+	0.116110i
$407$		−	5.90274i		−	0.292588i
$408$	1.32782	−	1.88134i	0.0657370	−	0.0931402i
$409$	22.3382	−	12.8970i	1.10455	−	0.637715i	0.167141	−	0.985933i	$-0.446547\pi$
$409$	22.3382	−	12.8970i	1.10455	−	0.637715i	0.937413	+	0.348218i	$0.113213\pi$
$410$	−5.08088	+	2.73143i	−0.250927	+	0.134896i
$411$	−42.6456	−	24.6214i	−2.10355	−	1.21449i
$412$	35.8083	+	2.17504i	1.76415	+	0.107156i
$413$	22.1675	−	27.3703i	1.09079	−	1.34680i
$414$	0.585333	−	19.2908i	0.0287675	−	0.948089i
$415$	9.31571	+	5.37842i	0.457290	+	0.264016i
$416$	6.21748	+	15.9387i	0.304837	+	0.781458i
$417$	−17.2221	−	29.8296i	−0.843372	−	1.46076i
$418$	5.77194	+	3.57011i	0.282315	+	0.174620i
$419$			8.97829i			0.438618i	0.975655	+	0.219309i	$0.0703803\pi$
$419$			8.97829i			0.438618i	−0.975655	+	0.219309i	$0.929620\pi$
$420$	8.03538	−	8.77511i	0.392086	−	0.428181i
$421$		−	13.7657i		−	0.670897i	−0.942058	−	0.335449i	$-0.891112\pi$
$421$		−	13.7657i		−	0.670897i	0.942058	−	0.335449i	$-0.108888\pi$
$422$	20.2684	−	32.7687i	0.986650	−	1.59516i
$423$	12.8161	+	22.1981i	0.623138	+	1.07931i
$424$	−7.10560	+	3.28115i	−0.345078	+	0.159347i
$425$	0.313561	+	0.181034i	0.0152099	+	0.00878146i
$426$	−39.7027	−	1.20469i	−1.92360	−	0.0583672i
$427$	4.17998	−	26.3782i	0.202284	−	1.27653i
$428$	30.2604	+	1.83805i	1.46269	+	0.0888456i
$429$	7.73614	+	4.46646i	0.373504	+	0.215643i
$430$	3.36136	+	6.25264i	0.162099	+	0.301529i
$431$	−19.0090	+	10.9749i	−0.915633	+	0.528641i	−0.882239	−	0.470801i	$-0.843965\pi$
$431$	−19.0090	+	10.9749i	−0.915633	+	0.528641i	−0.0333938	+	0.999442i	$0.510632\pi$
$432$	−6.78472	−	5.10373i	−0.326430	−	0.245553i
$433$		−	1.76054i		−	0.0846061i	−0.999105	−	0.0423031i	$-0.986530\pi$
$433$		−	1.76054i		−	0.0846061i	0.999105	−	0.0423031i	$-0.0134695\pi$
$434$	23.8494	−	8.33213i	1.14481	−	0.399955i
$435$	−7.54300			−0.361659
$436$	−25.5286	−	16.8816i	−1.22260	−	0.808481i
$437$	12.1246	+	21.0004i	0.579998	+	1.00459i
$438$	−13.6188	−	25.3330i	−0.650730	−	1.21046i
$439$	1.56542	−	2.71138i	0.0747133	−	0.129407i	−0.826248	−	0.563306i	$-0.809529\pi$
$439$	1.56542	−	2.71138i	0.0747133	−	0.129407i	0.900962	+	0.433899i	$0.142862\pi$
$440$	−3.69996	−	0.337628i	−0.176388	−	0.0160958i
$441$	−2.99018	−	14.0784i	−0.142390	−	0.670400i
$442$	−0.0469672	+	1.54790i	−0.00223400	+	0.0736259i
$443$	−1.20461	+	2.08644i	−0.0572326	+	0.0991298i	−0.893222	−	0.449616i	$-0.851561\pi$
$443$	−1.20461	+	2.08644i	−0.0572326	+	0.0991298i	0.835990	+	0.548745i	$0.184894\pi$
$444$	9.02466	+	18.0816i	0.428291	+	0.858117i
$445$	−1.99844	+	1.15380i	−0.0947350	+	0.0546953i
$446$	−11.5751	+	18.7140i	−0.548098	+	0.886132i
$447$	−26.8872			−1.27172
$448$	−20.8070	+	3.88180i	−0.983039	+	0.183398i
$449$	−22.8008			−1.07604			−0.538018	−	0.842933i	$-0.680827\pi$
$449$	−22.8008			−1.07604			−0.538018	+	0.842933i	$0.680827\pi$
$450$	−1.52956	+	2.47290i	−0.0721042	+	0.116574i
$451$	4.64017	−	2.67900i	0.218497	−	0.126149i
$452$	13.6091	+	27.2669i	0.640117	+	1.28253i
$453$	17.0034	−	29.4508i	0.798890	−	1.38372i
$454$	0.729844	−	24.0534i	0.0342533	−	1.12888i
$455$	−1.25236	+	7.90313i	−0.0587115	+	0.370504i
$456$	−23.1393	−	2.11151i	−1.08360	−	0.0988803i
$457$	5.54897	−	9.61110i	0.259570	−	0.449588i	−0.706557	−	0.707656i	$-0.749753\pi$
$457$	5.54897	−	9.61110i	0.259570	−	0.449588i	0.966127	+	0.258068i	$0.0830859\pi$
$458$	−2.88246	−	5.36181i	−0.134688	−	0.250541i
$459$	−0.384247	−	0.665535i	−0.0179351	−	0.0310645i
$460$	−11.0727	−	7.32220i	−0.516269	−	0.341399i
$461$	0.197161			0.00918270			0.00459135	−	0.999989i	$-0.498539\pi$
$461$	0.197161			0.00918270			0.00459135	+	0.999989i	$0.498539\pi$
$462$	−7.21288	+	8.37321i	−0.335574	+	0.389557i
$463$		−	39.2085i		−	1.82217i	−0.412214	−	0.911087i	$-0.635244\pi$
$463$		−	39.2085i		−	1.82217i	0.412214	−	0.911087i	$-0.364756\pi$
$464$	10.7231	+	8.06633i	0.497808	+	0.374470i
$465$	−13.1479	+	7.59096i	−0.609720	+	0.352022i
$466$	−2.68025	−	4.98568i	−0.124160	−	0.230957i
$467$	6.09296	+	3.51777i	0.281949	+	0.162783i	0.634305	−	0.773083i	$-0.281286\pi$
$467$	6.09296	+	3.51777i	0.281949	+	0.162783i	−0.352357	+	0.935866i	$0.614620\pi$
$468$	−12.4137	−	0.754024i	−0.573825	−	0.0348548i
$469$	3.69037	+	2.98888i	0.170406	+	0.138014i
$470$	17.6223	+	0.534707i	0.812856	+	0.0246642i
$471$	−11.0714	−	6.39210i	−0.510145	−	0.294533i
$472$	34.1844	−	15.7853i	1.57346	−	0.726578i
$473$	−3.29684	−	5.71029i	−0.151589	−	0.262559i
$474$	15.2540	−	24.6618i	0.700641	−	1.13275i
$475$		−	3.65342i		−	0.167630i
$476$	−1.87062	−	0.414033i	−0.0857395	−	0.0189772i
$477$		−	5.68937i		−	0.260498i
$478$	−17.5055	−	10.8276i	−0.800681	−	0.495244i
$479$	14.9345	+	25.8674i	0.682377	+	1.18191i	0.974254	+	0.225455i	$0.0723868\pi$
$479$	14.9345	+	25.8674i	0.682377	+	1.18191i	−0.291877	+	0.956456i	$0.594280\pi$
$480$	11.8501	−	4.62259i	0.540882	−	0.210991i
$481$	−11.7698	−	6.79527i	−0.536654	−	0.309838i
$482$	−0.316166	+	10.4199i	−0.0144010	+	0.474612i
$483$	−36.8653	+	14.1480i	−1.67743	+	0.643756i
$484$	−18.5150	−	1.12462i	−0.841589	−	0.0511191i
$485$	−2.37567	−	1.37159i	−0.107873	−	0.0622808i
$486$	22.7123	−	12.2099i	1.03025	−	0.553852i
$487$	7.76585	−	4.48362i	0.351904	−	0.203172i	−0.313619	−	0.949549i	$-0.601542\pi$
$487$	7.76585	−	4.48362i	0.351904	−	0.203172i	0.665524	+	0.746377i	$0.268208\pi$
$488$	16.4636	−	23.3266i	0.745271	−	1.05594i
$489$		−	25.6054i		−	1.15792i
$490$	−9.31735	−	3.34469i	−0.420915	−	0.151098i
$491$	28.3517			1.27949			0.639747	−	0.768585i	$-0.279039\pi$
$491$	28.3517			1.27949			0.639747	+	0.768585i	$0.279039\pi$
$492$	−10.1181	+	15.3008i	−0.456161	+	0.689814i
$493$	0.607294	+	1.05186i	0.0273511	+	0.0473735i
$494$	13.7633	−	7.39901i	0.619240	−	0.332897i
$495$	1.35039	−	2.33894i	0.0606954	−	0.105128i
$496$	26.8087	+	3.26884i	1.20375	+	0.146775i
$497$	11.8410	+	30.8541i	0.531143	+	1.38399i
$498$	34.1906	+	1.03743i	1.53212	+	0.0464885i
$499$	1.33164	−	2.30647i	0.0596125	−	0.103252i	−0.834679	−	0.550737i	$-0.814347\pi$
$499$	1.33164	−	2.30647i	0.0596125	−	0.103252i	0.894291	+	0.447485i	$0.147680\pi$
$500$	0.893147	+	1.78949i	0.0399428	+	0.0800286i
$501$	−11.3405	+	6.54741i	−0.506654	+	0.292517i
$502$	13.0059	+	8.04449i	0.580480	+	0.359043i
$503$	18.7909			0.837846			0.418923	−	0.908022i	$-0.362408\pi$
$503$	18.7909			0.837846			0.418923	+	0.908022i	$0.362408\pi$
$504$	3.77912	−	14.9148i	0.168335	−	0.664360i
$505$	9.13375			0.406446
$506$	10.4862	+	6.48604i	0.466171	+	0.288340i
$507$	−7.50335	+	4.33206i	−0.333236	+	0.192394i
$508$	−16.2485	+	8.10971i	−0.720909	+	0.359810i
$509$	−9.94668	+	17.2282i	−0.440879	+	0.763625i	−0.997755	−	0.0669710i	$-0.978667\pi$
$509$	−9.94668	+	17.2282i	−0.440879	+	0.763625i	0.556876	+	0.830596i	$0.312000\pi$
$510$	1.15083	+	0.0349193i	0.0509598	+	0.00154625i
$511$	−15.0610	+	18.5959i	−0.666261	+	0.822633i
$512$	−21.7894	−	6.10084i	−0.962966	−	0.269621i
$513$	−3.87720	+	6.71551i	−0.171183	+	0.296497i
$514$	−3.86649	+	2.07859i	−0.170543	+	0.0916825i
$515$	8.96856	+	15.5340i	0.395202	+	0.684510i
$516$	18.8295	+	12.4516i	0.828923	+	0.548152i
$517$	−16.3757			−0.720202
$518$	10.9737	−	12.7390i	0.482155	−	0.559719i
$519$			2.99296i			0.131376i
$520$	−4.93262	+	6.98884i	−0.216310	+	0.306481i
$521$	−4.94160	+	2.85303i	−0.216495	+	0.124994i	−0.604326	−	0.796737i	$-0.706558\pi$
$521$	−4.94160	+	2.85303i	−0.216495	+	0.124994i	0.387831	+	0.921730i	$0.373224\pi$
$522$	−8.59137	+	4.61863i	−0.376034	+	0.202152i
$523$	31.6069	+	18.2482i	1.38207	+	0.797939i	0.992405	−	0.123016i	$-0.0392568\pi$
$523$	31.6069	+	18.2482i	1.38207	+	0.797939i	0.389667	+	0.920956i	$0.372590\pi$
$524$	−1.17366	+	19.3222i	−0.0512714	+	0.844096i
$525$	5.87584	+	0.931107i	0.256443	+	0.0406368i
$526$	−0.268004	+	8.83259i	−0.0116855	+	0.385119i
$527$	2.11710	+	1.22231i	0.0922225	+	0.0532447i
$528$	−10.8715	+	4.62546i	−0.473121	+	0.201297i
$529$	10.5275	+	18.2342i	0.457718	+	0.792791i
$530$	−3.32811	−	2.05853i	−0.144564	−	0.0894169i
$531$			27.3710i			1.18780i
$532$	5.81958	+	18.4353i	0.252311	+	0.799273i
$533$		−	12.3363i		−	0.534346i
$534$	−3.86008	+	6.24074i	−0.167042	+	0.270063i
$535$	7.57904	+	13.1273i	0.327671	+	0.567542i
$536$	2.12836	+	4.60913i	0.0919311	+	0.199084i
$537$	1.25054	+	0.722001i	0.0539649	+	0.0311566i
$538$	−18.2030	−	0.552328i	−0.784789	−	0.0238126i
$539$	8.74449	+	2.84275i	0.376652	+	0.122446i
$540$	0.257373	−	4.23720i	0.0110756	−	0.182340i
$541$	22.4500	+	12.9615i	0.965200	+	0.557259i	0.897770	−	0.440465i	$-0.145186\pi$
$541$	22.4500	+	12.9615i	0.965200	+	0.557259i	0.0674307	+	0.997724i	$0.478520\pi$
$542$	−2.75515	−	5.12500i	−0.118344	−	0.220138i
$543$	29.9795	−	17.3087i	1.28655	−	0.742787i
$544$	−1.59868	−	1.28032i	−0.0685429	−	0.0548933i
$545$		−	15.3027i		−	0.655497i
$546$	8.39222	+	24.0214i	0.359154	+	1.02802i
$547$	−46.3561			−1.98205			−0.991023	−	0.133693i	$-0.957316\pi$
$547$	−46.3561			−1.98205			−0.991023	+	0.133693i	$0.957316\pi$
$548$	−24.1591	+	36.5338i	−1.03203	+	1.56065i
$549$	10.3774	+	17.9742i	0.442896	+	0.767118i
$550$	−0.879612	−	1.63621i	−0.0375068	−	0.0697684i
$551$	6.12783	−	10.6137i	0.261055	−	0.452160i
$552$	−42.0386	−	3.83611i	−1.78928	−	0.163276i
$553$	−23.8294	−	3.77609i	−1.01333	−	0.160576i
$554$	0.00259372	−	0.0854812i	0.000110197	−	0.00363175i
$555$	−5.05217	+	8.75061i	−0.214453	+	0.371443i
$556$	−27.4120	+	13.6815i	−1.16253	+	0.580225i
$557$	−25.2643	+	14.5864i	−1.07048	+	0.618044i	−0.928313	−	0.371799i	$-0.878741\pi$
$557$	−25.2643	+	14.5864i	−1.07048	+	0.618044i	−0.142170	+	0.989842i	$0.545408\pi$
$558$	−10.3273	+	16.6966i	−0.437189	+	0.706822i
$559$	−15.1814			−0.642103
$560$	−7.35738	−	7.60717i	−0.310906	−	0.321462i
$561$	−1.06942			−0.0451511
$562$	15.0648	−	24.3558i	0.635469	−	1.02739i
$563$	−3.13167	+	1.80807i	−0.131984	+	0.0762011i	−0.564538	−	0.825407i	$-0.690946\pi$
$563$	−3.13167	+	1.80807i	−0.131984	+	0.0762011i	0.432554	+	0.901608i	$0.357612\pi$
$564$	50.1631	−	25.0367i	2.11225	−	1.05423i
$565$	−7.61860	+	13.1958i	−0.320517	+	0.555152i
$566$	0.0423984	−	1.39732i	0.00178214	−	0.0587337i
$567$	−22.4943	−	18.2184i	−0.944673	−	0.765102i
$568$	−3.21060	+	35.1838i	−0.134714	+	1.47628i
$569$	−4.64527	+	8.04584i	−0.194740	+	0.337299i	−0.946815	−	0.321778i	$-0.895720\pi$
$569$	−4.64527	+	8.04584i	−0.194740	+	0.337299i	0.752075	+	0.659077i	$0.229053\pi$
$570$	−5.50104	−	10.2328i	−0.230413	−	0.428604i
$571$	−3.00801	−	5.21003i	−0.125881	−	0.218033i	0.796196	−	0.605039i	$-0.206843\pi$
$571$	−3.00801	−	5.21003i	−0.125881	−	0.218033i	−0.922077	+	0.387006i	$0.873509\pi$
$572$	4.38259	−	6.62742i	0.183245	−	0.277106i
$573$	12.2668			0.512454
$574$	14.9947	+	2.84476i	0.625865	+	0.118738i
$575$		−	6.63740i		−	0.276799i
$576$	10.6667	−	12.5210i	0.444445	−	0.521708i
$577$	−31.1827	+	18.0033i	−1.29815	+	0.749488i	−0.980085	−	0.198580i	$-0.936367\pi$
$577$	−31.1827	+	18.0033i	−1.29815	+	0.749488i	−0.318067	+	0.948068i	$0.603034\pi$
$578$	11.2960	+	21.0124i	0.469853	+	0.873999i
$579$	−3.19853	−	1.84667i	−0.132927	−	0.0767452i
$580$	−0.406772	+	6.69681i	−0.0168903	+	0.278070i
$581$	−10.1971	−	26.5704i	−0.423046	−	1.10233i
$582$	−8.71920	−	0.264563i	−0.361422	−	0.0109665i
$583$	3.14782	+	1.81740i	0.130370	+	0.0752689i
$584$	−23.2255	+	10.7249i	−0.961079	+	0.443798i
$585$	−3.10915	−	5.38521i	−0.128548	−	0.222651i
$586$	−0.953201	+	1.54108i	−0.0393764	+	0.0636614i
$587$			30.4699i			1.25763i	0.777555	+	0.628814i	$0.216459\pi$
$587$			30.4699i			1.25763i	−0.777555	+	0.628814i	$0.783541\pi$
$588$	−31.1330	+	4.66130i	−1.28390	+	0.192229i
$589$		−	24.6672i		−	1.01639i
$590$	16.0112	+	9.90340i	0.659172	+	0.407717i
$591$	29.0670	+	50.3456i	1.19566	+	2.07094i
$592$	16.5399	−	7.03716i	0.679785	−	0.289226i
$593$	6.79176	+	3.92122i	0.278904	+	0.161025i	0.632927	−	0.774211i	$-0.281853\pi$
$593$	6.79176	+	3.92122i	0.278904	+	0.161025i	−0.354023	+	0.935237i	$0.615187\pi$
$594$	−0.119583	+	3.94109i	−0.00490655	+	0.161705i
$595$	−0.343227	−	0.894344i	−0.0140709	−	0.0366645i
$596$	−1.44995	+	23.8709i	−0.0593922	+	0.977791i
$597$	−25.0235	−	14.4474i	−1.02415	−	0.591291i
$598$	25.0047	−	13.4423i	1.02252	−	0.549695i
$599$	−8.87320	+	5.12294i	−0.362549	+	0.209318i	−0.670198	−	0.742182i	$-0.733791\pi$
$599$	−8.87320	+	5.12294i	−0.362549	+	0.209318i	0.307649	+	0.951500i	$0.400458\pi$
$600$	5.19608	+	3.66732i	0.212129	+	0.149718i
$601$			39.3191i			1.60386i	0.597420	+	0.801929i	$0.296193\pi$
$601$			39.3191i			1.60386i	−0.597420	+	0.801929i	$0.703807\pi$
$602$	3.50083	−	18.4527i	0.142683	−	0.752078i
$603$	−3.69048			−0.150288
$604$	−25.2300	−	16.6841i	−1.02659	−	0.678868i
$605$	−4.63727	−	8.03199i	−0.188532	−	0.326547i
$606$	25.5825	−	13.7529i	1.03922	−	0.558673i
$607$	8.11619	−	14.0577i	0.329426	−	0.570583i	−0.652972	−	0.757382i	$-0.726478\pi$
$607$	8.11619	−	14.0577i	0.329426	−	0.570583i	0.982398	+	0.186799i	$0.0598114\pi$
$608$	−3.12247	+	20.4296i	−0.126633	+	0.828530i
$609$	15.5084	+	12.5605i	0.628434	+	0.508976i
$610$	14.2691	+	0.432962i	0.577739	+	0.0175301i
$611$	−18.8518	+	32.6523i	−0.762662	+	1.32097i
$612$	1.33216	−	0.664891i	0.0538496	−	0.0268766i
$613$	19.2113	−	11.0917i	0.775937	−	0.447988i	−0.0590511	−	0.998255i	$-0.518808\pi$
$613$	19.2113	−	11.0917i	0.775937	−	0.447988i	0.834989	+	0.550267i	$0.185474\pi$
$614$	−4.38685	−	2.71339i	−0.177039	−	0.109504i
$615$	−9.17185			−0.369845
$616$	7.04492	+	6.85527i	0.283848	+	0.276207i
$617$	6.15896			0.247951			0.123975	−	0.992285i	$-0.460436\pi$
$617$	6.15896			0.247951			0.123975	+	0.992285i	$0.460436\pi$
$618$	48.5098	+	30.0047i	1.95135	+	1.20697i
$619$	−19.1120	+	11.0343i	−0.768175	+	0.443506i	−0.832223	−	0.554441i	$-0.812932\pi$
$619$	−19.1120	+	11.0343i	−0.768175	+	0.443506i	0.0640481	+	0.997947i	$0.479599\pi$
$620$	6.03036	+	12.0823i	0.242185	+	0.485238i
$621$	−7.04396	+	12.2005i	−0.282664	+	0.489589i
$622$	−30.5912	−	0.928218i	−1.22660	−	0.0372182i
$623$	6.03009	+	0.955550i	0.241590	+	0.0382833i
$624$	−3.29242	+	27.0021i	−0.131802	+	1.08095i
$625$	−0.500000	+	0.866025i	−0.0200000	+	0.0346410i
$626$	31.0383	−	16.6859i	1.24054	−	0.666902i
$627$	5.39545	+	9.34520i	0.215474	+	0.373211i
$628$	−6.27208	+	9.48472i	−0.250283	+	0.378482i
$629$	1.62702			0.0648735
$630$	7.26262	−	2.53730i	0.289350	−	0.101089i
$631$		−	31.8382i		−	1.26746i	−0.773555	−	0.633729i	$-0.781523\pi$
$631$		−	31.8382i		−	1.26746i	0.773555	−	0.633729i	$-0.218477\pi$
$632$	−21.0726	−	14.8728i	−0.838223	−	0.591606i
$633$	53.0550	−	30.6313i	2.10875	−	1.21749i
$634$	29.1058	−	15.6470i	1.15594	−	0.621420i
$635$	−7.86344	−	4.53996i	−0.312051	−	0.180163i
$636$	−12.4212	−	0.754479i	−0.492533	−	0.0299171i
$637$	15.7350	−	14.1635i	0.623444	−	0.561177i
$638$	0.188998	−	6.22881i	0.00748252	−	0.246601i
$639$	−22.2416	−	12.8412i	−0.879864	−	0.507990i
$640$	−3.46498	−	10.7700i	−0.136965	−	0.425724i
$641$	−3.82910	−	6.63219i	−0.151240	−	0.261956i	0.780443	−	0.625226i	$-0.214993\pi$
$641$	−3.82910	−	6.63219i	−0.151240	−	0.261956i	−0.931684	+	0.363271i	$0.881660\pi$
$642$	40.9941	+	25.3560i	1.61791	+	1.00072i
$643$		−	15.5274i		−	0.612340i	−0.951977	−	0.306170i	$-0.900952\pi$
$643$		−	15.5274i		−	0.612340i	0.951977	−	0.306170i	$-0.0990476\pi$
$644$	10.5728	+	33.4926i	0.416627	+	1.31979i
$645$			11.2871i			0.444428i
$646$	−0.984058	+	1.59097i	−0.0387172	+	0.0625957i
$647$	6.28748	+	10.8902i	0.247186	+	0.428139i	0.962744	−	0.270414i	$-0.0871607\pi$
$647$	6.28748	+	10.8902i	0.247186	+	0.428139i	−0.715558	+	0.698554i	$0.753827\pi$
$648$	−12.9732	−	28.0945i	−0.509636	−	1.10366i
$649$	−15.1439	−	8.74332i	−0.594449	−	0.343205i
$650$	−4.27514	−	0.129719i	−0.167685	−	0.00508800i
$651$	39.6725	+	6.28666i	1.55489	+	0.246394i
$652$	−22.7330	−	1.38083i	−0.890292	−	0.0540774i
$653$	41.7322	+	24.0941i	1.63311	+	0.942874i	0.983127	+	0.182922i	$0.0585556\pi$
$653$	41.7322	+	24.0941i	1.63311	+	0.942874i	0.649979	+	0.759952i	$0.274778\pi$
$654$	−23.0417	−	42.8611i	−0.901002	−	1.67600i
$655$	−8.38219	+	4.83946i	−0.327519	+	0.189093i
$656$	13.0387	+	9.80820i	0.509075	+	0.382946i
$657$		−	18.5964i		−	0.725515i
$658$	−35.3412	−	30.4438i	−1.37774	−	1.18682i
$659$	21.0948			0.821736			0.410868	−	0.911695i	$-0.365226\pi$
$659$	21.0948			0.821736			0.410868	+	0.911695i	$0.365226\pi$
$660$	−4.92738	−	3.25838i	−0.191798	−	0.126832i
$661$	10.4693	+	18.1334i	0.407210	+	0.705308i	0.994576	−	0.104013i	$-0.0331684\pi$
$661$	10.4693	+	18.1334i	0.407210	+	0.705308i	−0.587366	+	0.809321i	$0.699835\pi$
$662$	−3.00216	−	5.58449i	−0.116682	−	0.217047i
$663$	−1.23113	+	2.13237i	−0.0478130	+	0.0828145i
$664$	2.76485	−	30.2991i	0.107297	−	1.17583i
$665$	−6.08361	+	7.51145i	−0.235912	+	0.291282i
$666$	−0.396284	+	13.0603i	−0.0153557	+	0.506076i
$667$	11.1328	−	19.2826i	0.431065	−	0.746626i
$668$	5.20135	+	10.4213i	0.201246	+	0.403214i
$669$	−30.2993	+	17.4933i	−1.17144	+	0.676330i
$670$	−1.33529	+	2.15882i	−0.0515868	+	0.0834024i
$671$	−13.2597			−0.511885
$672$	−32.0614	−	10.2286i	−1.23680	−	0.394576i
$673$	−6.93060			−0.267155			−0.133578	−	0.991038i	$-0.542647\pi$
$673$	−6.93060			−0.267155			−0.133578	+	0.991038i	$0.542647\pi$
$674$	16.7820	−	27.1322i	0.646420	−	1.04509i
$675$	1.83814	−	1.06125i	0.0707502	−	0.0408476i
$676$	3.44145	+	6.89523i	0.132363	+	0.265201i
$677$	6.87785	−	11.9128i	0.264337	−	0.457845i	−0.703053	−	0.711138i	$-0.748180\pi$
$677$	6.87785	−	11.9128i	0.264337	−	0.457845i	0.967390	+	0.253293i	$0.0815135\pi$
$678$	−1.46954	+	48.4314i	−0.0564372	+	1.86000i
$679$	2.60043	+	6.77593i	0.0997955	+	0.260036i
$680$	0.0930632	−	1.01985i	0.00356881	−	0.0391094i
$681$	19.1310	−	33.1359i	0.733102	−	1.26977i
$682$	−5.93898	−	11.0474i	−0.227415	−	0.423027i
$683$	2.06581	+	3.57808i	0.0790459	+	0.136912i	0.902839	−	0.429980i	$-0.141479\pi$
$683$	2.06581	+	3.57808i	0.0790459	+	0.136912i	−0.823793	+	0.566891i	$0.808146\pi$
$684$	−12.5312	−	8.28667i	−0.479143	−	0.316849i
$685$	−21.8997			−0.836743
$686$	13.5870	+	22.3918i	0.518755	+	0.854923i
$687$		−	9.67899i		−	0.369276i
$688$	12.0702	−	16.0457i	0.460172	−	0.611736i
$689$	7.24759	−	4.18440i	0.276111	−	0.159413i
$690$	−9.99409	−	18.5905i	−0.380468	−	0.707730i
$691$	−35.6084	−	20.5585i	−1.35461	−	0.782082i	−0.365716	−	0.930727i	$-0.619176\pi$
$691$	−35.6084	−	20.5585i	−1.35461	−	0.782082i	−0.988891	+	0.148644i	$0.952509\pi$
$692$	2.65720	+	0.161401i	0.101012	+	0.00613556i
$693$	−6.67118	+	2.56023i	−0.253417	+	0.0972552i
$694$	24.8875	+	0.755151i	0.944716	+	0.0286652i
$695$	−13.2660	−	7.65915i	−0.503210	−	0.290528i
$696$	8.94423	+	19.3694i	0.339030	+	0.734197i
$697$	0.738435	+	1.27901i	0.0279702	+	0.0484458i
$698$	−11.0814	+	17.9158i	−0.419438	+	0.678122i
$699$		−	9.00000i		−	0.340411i
$700$	1.14352	−	5.16646i	0.0432210	−	0.195274i
$701$		−	0.155387i		−	0.00586887i	−0.999996	−	0.00293444i	$-0.999066\pi$
$701$		−	0.155387i		−	0.00586887i	0.999996	−	0.00293444i	$-0.000934061\pi$
$702$	7.72066	+	4.77545i	0.291398	+	0.180238i
$703$	−8.20863	−	14.2178i	−0.309594	−	0.536233i
$704$	3.52030	+	9.90135i	0.132676	+	0.373171i
$705$	24.2764	+	14.0160i	0.914303	+	0.527873i
$706$	0.539301	−	17.7737i	0.0202969	−	0.668923i
$707$	−18.7790	−	15.2094i	−0.706258	−	0.572007i
$708$	59.7573	+	3.62973i	2.24582	+	0.136414i
$709$	17.8060	+	10.2803i	0.668717	+	0.386084i	0.795590	−	0.605835i	$-0.207161\pi$
$709$	17.8060	+	10.2803i	0.668717	+	0.386084i	−0.126874	+	0.991919i	$0.540494\pi$
$710$	−15.5592	+	8.36447i	−0.583926	+	0.313913i
$711$	16.2374	−	9.37465i	0.608949	−	0.351577i
$712$	5.33248	+	3.76359i	0.199843	+	0.141047i
$713$		−	44.8144i		−	1.67831i
$714$	−2.30797	−	1.98814i	−0.0863738	−	0.0744044i
$715$	3.97271			0.148571
$716$	0.708444	−	1.07132i	0.0264758	−	0.0400371i
$717$	−16.3636	−	28.3426i	−0.611110	−	1.05847i
$718$	6.88551	−	3.70158i	0.256965	−	0.138142i
$719$	−11.0943	+	19.2160i	−0.413749	+	0.716634i	−0.995296	−	0.0968783i	$-0.969114\pi$
$719$	−11.0943	+	19.2160i	−0.413749	+	0.716634i	0.581547	+	0.813513i	$0.302448\pi$
$720$	8.16379	+	0.995429i	0.304247	+	0.0370975i
$721$	7.42756	−	46.8723i	0.276617	−	1.74562i
$722$	−7.99021	−	0.242444i	−0.297365	−	0.00902283i
$723$	−8.28749	+	14.3544i	−0.308215	+	0.533844i
$724$	−13.7503	−	27.5498i	−0.511025	−	1.02388i
$725$	−2.90515	+	1.67729i	−0.107894	+	0.0622929i
$726$	−25.0824	−	15.5142i	−0.930895	−	0.575785i
$727$	30.9326			1.14723			0.573613	−	0.819127i	$-0.305542\pi$
$727$	30.9326			1.14723			0.573613	+	0.819127i	$0.305542\pi$
$728$	21.7792	−	6.15536i	0.807191	−	0.228133i
$729$	8.17716			0.302858
$730$	−10.8783	−	6.72856i	−0.402625	−	0.249035i
$731$	1.57397	−	0.908734i	0.0582155	−	0.0336107i
$732$	40.6179	−	20.2727i	1.50128	−	0.749299i
$733$	−19.5494	+	33.8606i	−0.722074	+	1.25067i	0.238093	+	0.971242i	$0.423478\pi$
$733$	−19.5494	+	33.8606i	−0.722074	+	1.25067i	−0.960167	+	0.279426i	$0.909856\pi$
$734$	−3.81225	−	0.115674i	−0.140713	−	0.00426959i
$735$	−10.5303	−	11.6987i	−0.388416	−	0.431514i
$736$	−5.67279	+	37.1158i	−0.209102	+	1.36811i
$737$	1.17888	−	2.04187i	0.0434244	−	0.0752133i
$738$	−10.4466	+	5.61599i	−0.384545	+	0.206728i
$739$	−13.5525	−	23.4737i	−0.498538	−	0.863494i	0.501460	−	0.865181i	$-0.332796\pi$
$739$	−13.5525	−	23.4737i	−0.498538	−	0.863494i	−0.999999	+	0.00168689i	$0.999463\pi$
$740$	7.49650	+	4.95730i	0.275577	+	0.182234i
$741$	24.8451			0.912708
$742$	3.41478	+	9.77427i	0.125361	+	0.358825i
$743$			2.76625i			0.101484i	0.998712	+	0.0507419i	$0.0161586\pi$
$743$			2.76625i			0.101484i	−0.998712	+	0.0507419i	$0.983841\pi$
$744$	35.0830	+	24.7611i	1.28620	+	0.907785i
$745$	−10.3555	+	5.97873i	−0.379395	+	0.219044i
$746$	−14.7436	+	7.92602i	−0.539802	+	0.290192i
$747$	19.1537	+	11.0584i	0.700797	+	0.404605i
$748$	−0.0576709	+	0.949453i	−0.00210866	+	0.0347155i
$749$	6.27679	−	39.6103i	0.229349	−	1.44733i
$750$	−0.0964439	+	3.17849i	−0.00352163	+	0.116062i
$751$	28.6416	+	16.5362i	1.04515	+	0.603415i	0.921287	−	0.388884i	$-0.127139\pi$
$751$	28.6416	+	16.5362i	1.04515	+	0.603415i	0.123860	+	0.992300i	$0.460473\pi$
$752$	−19.5229	−	45.8858i	−0.711926	−	1.67328i
$753$	12.1575	+	21.0574i	0.443045	+	0.767376i
$754$	−12.2023	−	7.54749i	−0.444383	−	0.274864i
$755$		−	15.1238i		−	0.550410i
$756$	−7.58488	+	8.28314i	−0.275860	+	0.301255i
$757$		−	28.5714i		−	1.03845i	−0.854639	−	0.519223i	$-0.826221\pi$
$757$		−	28.5714i		−	1.03845i	0.854639	−	0.519223i	$-0.173779\pi$
$758$	−9.69216	+	15.6697i	−0.352035	+	0.569149i
$759$	9.80226	+	16.9780i	0.355799	+	0.616263i
$760$	−9.38151	+	4.33210i	−0.340303	+	0.157142i
$761$	8.84164	+	5.10472i	0.320509	+	0.185046i	0.651619	−	0.758546i	$-0.274090\pi$
$761$	8.84164	+	5.10472i	0.320509	+	0.185046i	−0.331110	+	0.943592i	$0.607423\pi$
$762$	−28.8605	−	0.875703i	−1.04551	−	0.0317234i
$763$	−25.4819	+	31.4625i	−0.922506	+	1.13902i
$764$	0.661515	−	10.8907i	0.0239328	−	0.394012i
$765$	0.644701	+	0.372218i	0.0233092	+	0.0134576i
$766$	−18.4048	−	34.2358i	−0.664993	−	1.23699i
$767$	−34.8675	+	20.1307i	−1.25899	+	0.726879i
$768$	−25.9217	−	24.9483i	−0.935369	−	0.900244i
$769$		−	4.34684i		−	0.156751i	−0.996924	−	0.0783755i	$-0.975027\pi$
$769$		−	4.34684i		−	0.156751i	0.996924	−	0.0783755i	$-0.0249733\pi$
$770$	−0.916110	+	4.82878i	−0.0330143	+	0.174017i
$771$	−6.97967			−0.251367
$772$	−1.81200	+	2.74013i	−0.0652153	+	0.0986195i
$773$	8.02006	+	13.8911i	0.288461	+	0.499630i	0.973443	−	0.228931i	$-0.0735230\pi$
$773$	8.02006	+	13.8911i	0.288461	+	0.499630i	−0.684981	+	0.728561i	$0.740190\pi$
$774$	6.91116	+	12.8558i	0.248417	+	0.462093i
$775$	−3.37591	+	5.84724i	−0.121266	+	0.210039i
$776$	−0.705085	+	7.72679i	−0.0253111	+	0.277376i
$777$	24.9587	−	9.57852i	0.895387	−	0.343628i
$778$	−1.05312	+	34.7077i	−0.0377563	+	1.24433i
$779$	7.45110	−	12.9057i	0.266963	−	0.462394i
$780$	−12.1695	+	6.07386i	−0.435737	+	0.217479i
$781$	14.2096	−	8.20392i	0.508459	−	0.293559i
$782$	−1.78780	+	2.89041i	−0.0639316	+	0.103361i
$783$	7.12011			0.254452
$784$	2.45947	+	27.8918i	0.0878383	+	0.996135i
$785$	−5.68548			−0.202924
$786$	−16.1906	+	26.1760i	−0.577500	+	0.933668i
$787$	10.1582	−	5.86482i	0.362099	−	0.209058i	−0.307902	−	0.951418i	$-0.599627\pi$
$787$	10.1582	−	5.86482i	0.362099	−	0.209058i	0.670001	+	0.742360i	$0.266294\pi$
$788$	46.2652	−	23.0912i	1.64813	−	0.822591i
$789$	−7.02505	+	12.1677i	−0.250098	+	0.433183i
$790$	0.391126	−	12.8903i	0.0139156	−	0.458617i
$791$	37.6373	−	14.4443i	1.33823	−	0.513580i
$792$	−7.60734	−	0.694185i	−0.270315	−	0.0246668i
$793$	−15.2646	+	26.4391i	−0.542063	+	0.938881i
$794$	23.3346	+	43.4059i	0.828113	+	1.54042i
$795$	−3.11103	−	5.38846i	−0.110337	−	0.191109i
$796$	−14.1761	+	21.4373i	−0.502457	+	0.759823i
$797$	13.4955			0.478035			0.239018	−	0.971015i	$-0.423175\pi$
$797$	13.4955			0.478035			0.239018	+	0.971015i	$0.423175\pi$
$798$	−5.72929	+	30.1989i	−0.202815	+	1.06903i
$799$		−	4.51376i		−	0.159685i
$800$	3.53612	−	4.41541i	0.125021	−	0.156108i
$801$	−4.10891	+	2.37228i	−0.145181	+	0.0838205i
$802$	−12.3011	−	22.8820i	−0.434369	−	0.807992i
$803$	10.2890	+	5.94038i	0.363093	+	0.209632i
$804$	−0.489402	+	8.05717i	−0.0172599	+	0.284154i
$805$	−11.0525	+	13.6465i	−0.389549	+	0.480977i
$806$	−28.8649	−	0.875838i	−1.01672	−	0.0308501i
$807$	−25.0764	−	14.4779i	−0.882732	−	0.509646i
$808$	−10.8305	−	23.4543i	−0.381015	−	0.825119i
$809$	14.6739	+	25.4159i	0.515907	+	0.893577i	0.999829	+	0.0184661i	$0.00587829\pi$
$809$	14.6739	+	25.4159i	0.515907	+	0.893577i	−0.483923	+	0.875111i	$0.660788\pi$
$810$	8.13914	−	13.1589i	0.285980	−	0.462356i
$811$			10.1469i			0.356307i	0.984003	+	0.178154i	$0.0570124\pi$
$811$			10.1469i			0.356307i	−0.984003	+	0.178154i	$0.942988\pi$
$812$	11.9877	−	13.0913i	0.420687	−	0.459416i
$813$		−	9.25150i		−	0.324464i
$814$	−7.09944	−	4.39120i	−0.248835	−	0.153912i
$815$	−5.69372	−	9.86181i	−0.199442	−	0.345444i
$816$	−1.27495	−	2.99660i	−0.0446322	−	0.104902i
$817$	−15.8820	−	9.16948i	−0.555641	−	0.320800i
$818$	1.10633	−	36.4614i	0.0386821	−	1.27484i
$819$	−2.57493	+	16.2493i	−0.0899753	+	0.567798i
$820$	−0.494612	+	8.14294i	−0.0172726	+	0.284364i
$821$	−29.0738	−	16.7858i	−1.01468	−	0.585827i	−0.102123	−	0.994772i	$-0.532564\pi$
$821$	−29.0738	−	16.7858i	−1.01468	−	0.585827i	−0.912559	+	0.408945i	$0.865897\pi$
$822$	−61.3383	+	32.9748i	−2.13942	+	1.15013i
$823$	−34.7158	+	20.0432i	−1.21012	+	0.698662i	−0.962785	−	0.270268i	$-0.912888\pi$
$823$	−34.7158	+	20.0432i	−1.21012	+	0.698662i	−0.247333	+	0.968931i	$0.579554\pi$
$824$	29.2547	−	41.4498i	1.01914	−	1.44397i
$825$		−	2.95365i		−	0.102833i
$826$	−16.4282	−	47.0231i	−0.571610	−	1.63614i
$827$	0.365430			0.0127073			0.00635363	−	0.999980i	$-0.497978\pi$
$827$	0.365430			0.0127073			0.00635363	+	0.999980i	$0.497978\pi$
$828$	−22.7663	−	15.0549i	−0.791182	−	0.523194i
$829$	−6.58868	−	11.4119i	−0.228834	−	0.396352i	0.728629	−	0.684909i	$-0.240158\pi$
$829$	−6.58868	−	11.4119i	−0.228834	−	0.396352i	−0.957463	+	0.288556i	$0.906825\pi$
$830$	13.3990	−	7.20318i	0.465087	−	0.250026i
$831$	0.0679879	−	0.117759i	0.00235847	−	0.00408500i
$832$	23.7954	+	4.37921i	0.824956	+	0.151822i
$833$	−0.783571	+	2.41031i	−0.0271491	+	0.0835124i
$834$	−48.6892	−	1.47736i	−1.68597	−	0.0511567i
$835$	−2.91181	+	5.04341i	−0.100767	+	0.174534i
$836$	8.58780	−	4.28622i	0.297015	−	0.148242i
$837$	12.4108	−	7.16538i	0.428980	−	0.247672i
$838$	10.7985	+	6.67919i	0.373028	+	0.230729i
$839$	34.9250			1.20575			0.602873	−	0.797837i	$-0.294023\pi$
$839$	34.9250			1.20575			0.602873	+	0.797837i	$0.294023\pi$
$840$	−4.57641	−	16.1925i	−0.157901	−	0.558693i
$841$	17.7468			0.611959
$842$	−16.5565	−	10.2406i	−0.570573	−	0.352916i
$843$	39.4339	−	22.7672i	1.35818	−	0.784143i
$844$	−24.3339	−	48.7550i	−0.837608	−	1.67822i
$845$	−1.92659	+	3.33695i	−0.0662766	+	0.114794i
$846$	36.2326	+	1.09939i	1.24570	+	0.0377979i
$847$	−3.84048	+	24.2357i	−0.131961	+	0.832750i
$848$	−1.33968	+	10.9871i	−0.0460048	+	0.377298i
$849$	1.11137	−	1.92494i	0.0381420	−	0.0660638i
$850$	0.451003	−	0.242455i	0.0154693	−	0.00831612i
$851$	−14.9131	−	25.8303i	−0.511216	−	0.885452i
$852$	−30.9848	+	46.8557i	−1.06152	+	1.60525i
$853$	14.1386			0.484095			0.242048	−	0.970264i	$-0.422181\pi$
$853$	14.1386			0.484095			0.242048	+	0.970264i	$0.422181\pi$
$854$	−28.6164	−	24.6508i	−0.979233	−	0.843535i
$855$		−	7.51166i		−	0.256893i
$856$	24.7222	−	35.0279i	0.844988	−	1.19723i
$857$	17.8449	−	10.3028i	0.609570	−	0.351936i	−0.163227	−	0.986589i	$-0.552190\pi$
$857$	17.8449	−	10.3028i	0.609570	−	0.351936i	0.772797	+	0.634653i	$0.218857\pi$
$858$	11.1271	−	5.98181i	0.379873	−	0.204216i
$859$	−10.7747	−	6.22079i	−0.367629	−	0.212251i	0.304793	−	0.952419i	$-0.401413\pi$
$859$	−10.7747	−	6.22079i	−0.367629	−	0.212251i	−0.672422	+	0.740168i	$0.734746\pi$
$860$	10.0209	+	0.608680i	0.341709	+	0.0207558i
$861$	18.8574	+	15.2728i	0.642658	+	0.520497i
$862$	−0.941451	+	31.0273i	−0.0320660	+	1.05680i
$863$	−44.8077	−	25.8697i	−1.52527	−	0.880616i	−0.999551	−	0.0299584i	$-0.990463\pi$
$863$	−44.8077	−	25.8697i	−1.52527	−	0.880616i	−0.525720	−	0.850658i	$-0.676204\pi$
$864$	−11.1858	+	4.36343i	−0.380548	+	0.148447i
$865$	0.665524	+	1.15272i	0.0226285	+	0.0391937i
$866$	−2.11746	−	1.30971i	−0.0719544	−	0.0445058i
$867$			37.9309i			1.28820i
$868$	7.72084	−	34.8830i	0.262062	−	1.18401i
$869$			11.9785i			0.406341i
$870$	−5.61143	+	9.07223i	−0.190245	+	0.307577i
$871$	−2.71426	−	4.70123i	−0.0919691	−	0.159295i
$872$	−39.2955	+	18.1455i	−1.33071	+	0.614483i
$873$	−4.88452	−	2.82008i	−0.165316	−	0.0954453i
$874$	34.2778	+	1.04008i	1.15946	+	0.0351811i
$875$	2.47009	−	0.947962i	0.0835044	−	0.0320469i
$876$	−40.6003	−	2.46611i	−1.37176	−	0.0833221i
$877$	−25.3789	−	14.6525i	−0.856985	−	0.494780i	0.00601675	−	0.999982i	$-0.498085\pi$
$877$	−25.3789	−	14.6525i	−0.856985	−	0.494780i	−0.863001	+	0.505202i	$0.831418\pi$
$878$	−2.09652	−	3.89985i	−0.0707542	−	0.131614i
$879$	−2.49512	+	1.44056i	−0.0841583	+	0.0485888i
$880$	−3.15857	+	4.19890i	−0.106475	+	0.141545i
$881$			45.5762i			1.53550i	0.640748	+	0.767751i	$0.278624\pi$
$881$			45.5762i			1.53550i	−0.640748	+	0.767751i	$0.721376\pi$
$882$	−19.1571	−	6.87689i	−0.645052	−	0.231557i
$883$	−21.7964			−0.733509			−0.366754	−	0.930318i	$-0.619531\pi$
$883$	−21.7964			−0.733509			−0.366754	+	0.930318i	$0.619531\pi$
$884$	1.82677	+	1.20801i	0.0614409	+	0.0406297i
$885$	14.9669	+	25.9234i	0.503105	+	0.871404i
$886$	1.61330	+	3.00098i	0.0541998	+	0.100820i
$887$	−19.1245	+	33.1245i	−0.642136	+	1.11221i	0.342819	+	0.939402i	$0.388618\pi$
$887$	−19.1245	+	33.1245i	−0.642136	+	1.11221i	−0.984955	+	0.172811i	$0.944715\pi$
$888$	28.4611	+	2.59713i	0.955093	+	0.0871541i
$889$	8.60742	+	22.4283i	0.288684	+	0.752220i
$890$	−0.0989756	+	3.26193i	−0.00331767	+	0.109340i
$891$	−7.18573	+	12.4461i	−0.240731	+	0.416958i
$892$	13.8969	+	27.8436i	0.465303	+	0.932274i
$893$	−39.4437	+	22.7728i	−1.31993	+	0.762064i
$894$	−20.0021	+	32.3382i	−0.668969	+	1.08155i
$895$	0.642187			0.0214659
$896$	−10.8101	+	27.9131i	−0.361140	+	0.932512i
$897$	45.1377			1.50710
$898$	−16.9621	+	27.4234i	−0.566033	+	0.915129i
$899$	−19.6150	+	11.3247i	−0.654197	+	0.377701i
$900$	1.83637	+	3.67931i	0.0612122	+	0.122644i
$901$	−0.500943	+	0.867659i	−0.0166888	+	0.0289059i
$902$	0.229811	−	7.57388i	0.00765188	−	0.252182i
$903$	18.7951	−	23.2063i	0.625461	−	0.772258i
$904$	42.9190	+	3.91644i	1.42746	+	0.130259i
$905$	7.69765	−	13.3327i	0.255878	−	0.443195i
$906$	−22.7722	−	42.3598i	−0.756556	−	1.40731i
$907$	12.8162	+	22.1983i	0.425554	+	0.737082i	0.996472	−	0.0839256i	$-0.0267458\pi$
$907$	12.8162	+	22.1983i	0.425554	+	0.737082i	−0.570918	+	0.821007i	$0.693412\pi$
$908$	−28.3870	−	18.7718i	−0.942054	−	0.622963i
$909$	18.7796			0.622879
$910$	8.57371	+	7.38560i	0.284216	+	0.244830i
$911$		−	24.8490i		−	0.823285i	−0.911345	−	0.411642i	$-0.864955\pi$
$911$		−	24.8490i		−	0.823285i	0.911345	−	0.411642i	$-0.135045\pi$
$912$	−19.7535	+	26.2596i	−0.654104	+	0.869544i
$913$	−12.2368	+	7.06492i	−0.404979	+	0.233815i
$914$	−7.43159	−	13.8239i	−0.245815	−	0.457254i
$915$	19.6570	+	11.3490i	0.649842	+	0.375186i
$916$	−8.59318	−	0.521960i	−0.283927	−	0.0172460i
$917$	25.2924	+	4.00793i	0.835230	+	0.132354i
$918$	−1.08631	−	0.0329616i	−0.0358537	−	0.00108790i
$919$	−7.19741	−	4.15543i	−0.237421	−	0.137075i	0.376570	−	0.926388i	$-0.377103\pi$
$919$	−7.19741	−	4.15543i	−0.237421	−	0.137075i	−0.613991	+	0.789313i	$0.710437\pi$
$920$	−17.0440	+	7.87040i	−0.561923	+	0.259479i
$921$	−4.10071	−	7.10264i	−0.135123	−	0.234040i
$922$	0.146673	−	0.237132i	0.00483042	−	0.00780954i
$923$		−	37.7776i		−	1.24346i
$924$	4.70490	+	14.9042i	0.154780	+	0.490314i
$925$			4.49367i			0.147751i
$926$	−47.1575	−	29.1683i	−1.54969	−	0.958528i
$927$	18.4399	+	31.9389i	0.605647	+	1.04901i
$928$	17.6789	−	6.89631i	0.580337	−	0.226382i
$929$	−16.8351	−	9.71975i	−0.552342	−	0.318895i	0.197724	−	0.980258i	$-0.436645\pi$
$929$	−16.8351	−	9.71975i	−0.552342	−	0.318895i	−0.750066	+	0.661363i	$0.769978\pi$
$930$	−0.651171	+	21.4606i	−0.0213527	+	0.703720i
$931$	25.0159	−	5.31325i	0.819863	−	0.174135i
$932$	−7.99037	−	0.485344i	−0.261733	−	0.0158980i
$933$	−42.1423	−	24.3309i	−1.37968	−	0.796558i
$934$	8.76367	−	4.71126i	0.286756	−	0.154157i
$935$	−0.411883	+	0.237801i	−0.0134700	+	0.00777692i
$936$	−10.1418	+	14.3695i	−0.331495	+	0.469682i
$937$			35.4081i			1.15673i	0.815777	+	0.578367i	$0.196310\pi$
$937$			35.4081i			1.15673i	−0.815777	+	0.578367i	$0.803690\pi$
$938$	6.34020	−	2.21504i	0.207015	−	0.0723236i
$939$	56.0294			1.82845
$940$	13.7528	−	20.7972i	0.448567	−	0.678330i
$941$	−2.43765	−	4.22213i	−0.0794650	−	0.137637i	0.823554	−	0.567238i	$-0.191988\pi$
$941$	−2.43765	−	4.22213i	−0.0794650	−	0.137637i	−0.903019	+	0.429600i	$0.858655\pi$
$942$	−15.9244	+	8.56077i	−0.518843	+	0.278925i
$943$	13.5369	−	23.4466i	0.440822	−	0.763525i
$944$	6.44508	−	52.8579i	0.209769	−	1.72038i
$945$	−5.54642	−	0.878906i	−0.180425	−	0.0285908i
$946$	−9.32058	−	0.282811i	−0.303038	−	0.00919497i
$947$	20.0140	−	34.6653i	0.650368	−	1.12647i	−0.332665	−	0.943045i	$-0.607948\pi$
$947$	20.0140	−	34.6653i	0.650368	−	1.12647i	0.983034	−	0.183426i	$-0.0587187\pi$
$948$	−18.3138	−	36.6932i	−0.594804	−	1.19174i
$949$	23.6896	−	13.6772i	0.768998	−	0.443981i
$950$	−4.39410	−	2.71787i	−0.142563	−	0.0881795i
$951$	52.5409			1.70375
$952$	−1.88957	+	1.94185i	−0.0612414	+	0.0629356i
$953$	11.5957			0.375622			0.187811	−	0.982205i	$-0.439861\pi$
$953$	11.5957			0.375622			0.187811	+	0.982205i	$0.439861\pi$
$954$	−6.84281	−	4.23247i	−0.221544	−	0.137031i
$955$	4.72451	−	2.72770i	0.152881	−	0.0882661i
$956$	−26.0455	+	12.9995i	−0.842373	+	0.420433i
$957$	4.95411	−	8.58078i	0.160144	−	0.277377i
$958$	42.2218	+	1.28112i	1.36413	+	0.0413911i
$959$	45.0258	+	36.4670i	1.45396	+	1.17758i
$960$	3.25587	−	17.6914i	0.105083	−	0.570989i
$961$	−7.29347	+	12.6327i	−0.235273	+	0.407505i
$962$	−16.9287	+	9.10072i	−0.545805	+	0.293419i
$963$	15.5830	+	26.9905i	0.502155	+	0.869758i
$964$	12.2971	+	8.13187i	0.396064	+	0.261910i
$965$	−1.64253			−0.0528750
$966$	−10.4088	+	54.8643i	−0.334897	+	1.76523i
$967$			15.5545i			0.500200i	0.968220	+	0.250100i	$0.0804635\pi$
$967$			15.5545i			0.500200i	−0.968220	+	0.250100i	$0.919536\pi$
$968$	−15.1264	+	21.4320i	−0.486181	+	0.688850i
$969$	−2.57589	+	1.48719i	−0.0827495	+	0.0477755i
$970$	−3.41698	+	1.83694i	−0.109713	+	0.0589805i
$971$	22.8218	+	13.1762i	0.732388	+	0.422844i	0.819295	−	0.573372i	$-0.194365\pi$
$971$	22.8218	+	13.1762i	0.732388	+	0.422844i	−0.0869072	+	0.996216i	$0.527698\pi$
$972$	2.21099	−	36.4001i	0.0709175	−	1.16753i
$973$	14.5212	+	37.8377i	0.465527	+	1.21302i
$974$	0.384616	−	12.6757i	0.0123239	−	0.406157i
$975$	−5.88941	−	3.40026i	−0.188612	−	0.108895i
$976$	−15.8080	−	37.1546i	−0.506002	−	1.18929i
$977$	−13.1466	−	22.7707i	−0.420598	−	0.728498i	0.575400	−	0.817872i	$-0.304847\pi$
$977$	−13.1466	−	22.7707i	−0.420598	−	0.728498i	−0.995998	+	0.0893746i	$0.971513\pi$
$978$	−30.7966	−	19.0486i	−0.984766	−	0.609106i
$979$		−	3.03118i		−	0.0968770i
$980$	−10.9542	+	8.71811i	−0.349919	+	0.278490i
$981$		−	31.4634i		−	1.00455i
$982$	21.0916	−	34.0996i	0.673059	−	1.08816i
$983$	−6.26335	−	10.8484i	−0.199770	−	0.346012i	0.748684	−	0.662927i	$-0.230686\pi$
$983$	−6.26335	−	10.8484i	−0.199770	−	0.346012i	−0.948454	+	0.316916i	$0.897353\pi$
$984$	10.8757	+	23.5521i	0.346704	+	0.750815i
$985$	22.3900	+	12.9269i	0.713406	+	0.411885i
$986$	1.71690	+	0.0520951i	0.0546771	+	0.00165905i
$987$	−26.5732	−	69.2417i	−0.845836	−	2.20399i
$988$	1.33983	−	22.0579i	0.0426255	−	0.701757i
$989$	−28.8539	−	16.6588i	−0.917499	−	0.529718i
$990$	−1.80854	−	3.36416i	−0.0574791	−	0.106920i
$991$	3.08043	−	1.77849i	0.0978531	−	0.0564955i	−0.450275	−	0.892890i	$-0.648674\pi$
$991$	3.08043	−	1.77849i	0.0978531	−	0.0564955i	0.548128	+	0.836394i	$0.315341\pi$
$992$	23.8752	−	29.8120i	0.758040	−	0.946532i
$993$		−	10.0810i		−	0.319909i
$994$	45.9182	+	8.71153i	1.45644	+	0.276313i
$995$	−12.8503			−0.407381
$996$	26.6830	−	40.3505i	0.845484	−	1.27855i
$997$	−10.5749	−	18.3163i	−0.334910	−	0.580082i	0.648557	−	0.761166i	$-0.275373\pi$
$997$	−10.5749	−	18.3163i	−0.334910	−	0.580082i	−0.983468	+	0.181084i	$0.942039\pi$
$998$	−1.78343	−	3.31746i	−0.0564536	−	0.105012i
$999$	4.76892	−	8.26002i	0.150882	−	0.261335i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bj.e.131.9	✓	24
4.3	odd	2		1120.2.bz.f.271.3		24
7.3	odd	6		280.2.bj.f.171.8	yes	24
8.3	odd	2		280.2.bj.f.131.8	yes	24
8.5	even	2		1120.2.bz.e.271.3		24
28.3	even	6		1120.2.bz.e.591.3		24
56.3	even	6	inner	280.2.bj.e.171.9	yes	24
56.45	odd	6		1120.2.bz.f.591.3		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bj.e.131.9	✓	24	1.1	even	1	trivial
280.2.bj.e.171.9	yes	24	56.3	even	6	inner
280.2.bj.f.131.8	yes	24	8.3	odd	2
280.2.bj.f.171.8	yes	24	7.3	odd	6
1120.2.bz.e.271.3		24	8.5	even	2
1120.2.bz.e.591.3		24	28.3	even	6
1120.2.bz.f.271.3		24	4.3	odd	2
1120.2.bz.f.591.3		24	56.45	odd	6

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.743926 - 1.20274i) q^{2} +(1.94732 - 1.12428i) q^{3} +(-0.893147 - 1.78949i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.0964439 - 3.17849i) q^{6} +(-2.47009 + 0.947962i) q^{7} +(-2.81672 - 0.257032i) q^{8} +(1.02803 - 1.78060i) q^{9} +O(q^{10})\)	\(q+(0.743926 - 1.20274i) q^{2} +(1.94732 - 1.12428i) q^{3} +(-0.893147 - 1.78949i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.0964439 - 3.17849i) q^{6} +(-2.47009 + 0.947962i) q^{7} +(-2.81672 - 0.257032i) q^{8} +(1.02803 - 1.78060i) q^{9} +(-0.669637 - 1.24563i) q^{10} +(0.656783 + 1.13758i) q^{11} +(-3.75114 - 2.48056i) q^{12} +3.02437 q^{13} +(-0.697421 + 3.67609i) q^{14} -2.24857i q^{15} +(-2.40458 + 3.19656i) q^{16} +(-0.313561 + 0.181034i) q^{17} +(-1.37682 - 2.56109i) q^{18} +(3.16395 + 1.82671i) q^{19} +(-1.99632 - 0.121259i) q^{20} +(-3.74428 + 4.62307i) q^{21} +(1.85681 + 0.0563405i) q^{22} +(5.74815 + 3.31870i) q^{23} +(-5.77403 + 2.66628i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(2.24991 - 3.63752i) q^{26} +2.12251i q^{27} +(3.90253 + 3.57355i) q^{28} -3.35458i q^{29} +(-2.70443 - 1.67277i) q^{30} +(-3.37591 - 5.84724i) q^{31} +(2.05579 + 5.27008i) q^{32} +(2.55793 + 1.47682i) q^{33} +(-0.0155296 + 0.511807i) q^{34} +(-0.414089 + 2.61315i) q^{35} +(-4.10456 - 0.249316i) q^{36} +(-3.89163 - 2.24684i) q^{37} +(4.55080 - 2.44646i) q^{38} +(5.88941 - 3.40026i) q^{39} +(-1.63096 + 2.31084i) q^{40} -4.07897i q^{41} +(2.77486 + 7.94261i) q^{42} -5.01967 q^{43} +(1.44909 - 2.19134i) q^{44} +(-1.02803 - 1.78060i) q^{45} +(8.26772 - 4.44464i) q^{46} +(-6.23329 + 10.7964i) q^{47} +(-1.08863 + 8.92815i) q^{48} +(5.20274 - 4.68311i) q^{49} +(-1.41356 - 0.0428912i) q^{50} +(-0.407068 + 0.705063i) q^{51} +(-2.70121 - 5.41210i) q^{52} +(2.39639 - 1.38356i) q^{53} +(2.55281 + 1.57899i) q^{54} +1.31357 q^{55} +(7.20123 - 2.03525i) q^{56} +8.21496 q^{57} +(-4.03467 - 2.49556i) q^{58} +(-11.5288 + 6.65617i) q^{59} +(-4.02380 + 2.00830i) q^{60} +(-5.04721 + 8.74202i) q^{61} +(-9.54411 - 0.289593i) q^{62} +(-0.851393 + 5.37279i) q^{63} +(7.86787 + 1.44797i) q^{64} +(1.51219 - 2.61918i) q^{65} +(3.67914 - 1.97787i) q^{66} +(-0.897462 - 1.55445i) q^{67} +(0.604016 + 0.399425i) q^{68} +14.9246 q^{69} +(2.83487 + 2.44203i) q^{70} -12.4911i q^{71} +(-3.35335 + 4.75123i) q^{72} +(7.83291 - 4.52233i) q^{73} +(-5.59744 + 3.00913i) q^{74} +(-1.94732 - 1.12428i) q^{75} +(0.443009 - 7.29339i) q^{76} +(-2.70070 - 2.18733i) q^{77} +(0.291682 - 9.61295i) q^{78} +(7.89731 + 4.55951i) q^{79} +(1.56602 + 3.68071i) q^{80} +(5.47040 + 9.47500i) q^{81} +(-4.90593 - 3.03446i) q^{82} +10.7568i q^{83} +(11.6172 + 2.57129i) q^{84} +0.362069i q^{85} +(-3.73427 + 6.03734i) q^{86} +(-3.77150 - 6.53243i) q^{87} +(-1.55758 - 3.37307i) q^{88} +(-1.99844 - 1.15380i) q^{89} +(-2.90638 - 0.0881871i) q^{90} +(-7.47049 + 2.86699i) q^{91} +(0.804843 - 13.2504i) q^{92} +(-13.1479 - 7.59096i) q^{93} +(8.34808 + 15.5287i) q^{94} +(3.16395 - 1.82671i) q^{95} +(9.92835 + 7.95122i) q^{96} -2.74318i q^{97} +(-1.76209 - 9.74141i) q^{98} +2.70078 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9	\( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 8 q^{12} - 20 q^{13} - 15 q^{14} - 3 q^{16} + 6 q^{17} - 27 q^{18} + 18 q^{19} + 2 q^{20} + 26 q^{21} - 16 q^{22} - 18 q^{23} + 6 q^{24} - 12 q^{25} - 29 q^{26} + 3 q^{28} + 10 q^{30} + 6 q^{31} - 33 q^{32} + 12 q^{33} + 20 q^{34} - 8 q^{35} - 22 q^{36} + 9 q^{38} + 18 q^{39} - 3 q^{40} - 12 q^{42} + 32 q^{43} - 25 q^{44} - 12 q^{45} + 53 q^{46} + 14 q^{48} + 8 q^{49} - 22 q^{51} - 31 q^{52} - 30 q^{53} + 10 q^{54} + 16 q^{55} + 16 q^{56} - 44 q^{57} + 30 q^{58} - 18 q^{59} + 10 q^{60} - 22 q^{61} - 8 q^{62} + 12 q^{63} + 58 q^{64} - 10 q^{65} - 8 q^{66} - 8 q^{67} - 6 q^{68} + 12 q^{69} + 3 q^{70} - 23 q^{72} + 30 q^{73} - 43 q^{74} - 12 q^{75} - 8 q^{76} + 32 q^{77} - 8 q^{78} - 6 q^{79} + 3 q^{80} - 4 q^{81} - 27 q^{82} - 16 q^{84} - 36 q^{86} - 14 q^{87} + 49 q^{88} - 60 q^{89} - 24 q^{90} + 18 q^{91} - 38 q^{92} + 18 q^{93} + 11 q^{94} + 18 q^{95} + 2 q^{96} - 19 q^{98} - 56 q^{99}+O(q^{100}) \) 24 * q - 3 * q^2 + 12 * q^3 + q^4 + 12 * q^5 + 2 * q^6 - 10 * q^7 - 6 * q^8 + 12 * q^9 - 3 * q^10 + 8 * q^11 + 8 * q^12 - 20 * q^13 - 15 * q^14 - 3 * q^16 + 6 * q^17 - 27 * q^18 + 18 * q^19 + 2 * q^20 + 26 * q^21 - 16 * q^22 - 18 * q^23 + 6 * q^24 - 12 * q^25 - 29 * q^26 + 3 * q^28 + 10 * q^30 + 6 * q^31 - 33 * q^32 + 12 * q^33 + 20 * q^34 - 8 * q^35 - 22 * q^36 + 9 * q^38 + 18 * q^39 - 3 * q^40 - 12 * q^42 + 32 * q^43 - 25 * q^44 - 12 * q^45 + 53 * q^46 + 14 * q^48 + 8 * q^49 - 22 * q^51 - 31 * q^52 - 30 * q^53 + 10 * q^54 + 16 * q^55 + 16 * q^56 - 44 * q^57 + 30 * q^58 - 18 * q^59 + 10 * q^60 - 22 * q^61 - 8 * q^62 + 12 * q^63 + 58 * q^64 - 10 * q^65 - 8 * q^66 - 8 * q^67 - 6 * q^68 + 12 * q^69 + 3 * q^70 - 23 * q^72 + 30 * q^73 - 43 * q^74 - 12 * q^75 - 8 * q^76 + 32 * q^77 - 8 * q^78 - 6 * q^79 + 3 * q^80 - 4 * q^81 - 27 * q^82 - 16 * q^84 - 36 * q^86 - 14 * q^87 + 49 * q^88 - 60 * q^89 - 24 * q^90 + 18 * q^91 - 38 * q^92 + 18 * q^93 + 11 * q^94 + 18 * q^95 + 2 * q^96 - 19 * q^98 - 56 * q^99

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