LMFDB - Embedded newform 731.2.k.a.35.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(35,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.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:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$30$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			35.15
Character	$\chi$	$=$	731.35
Dual form			731.2.k.a.188.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.100864 + 0.441914i) q^{2} +(0.452538 + 1.98270i) q^{3} +(1.61682 + 0.778621i) q^{4} +(-1.88332 + 2.36161i) q^{5} -0.921827 q^{6} +4.55915 q^{7} +(-1.07239 + 1.34474i) q^{8} +(-1.02340 + 0.492843i) q^{9} +O(q^{10})$	\(q+(-0.100864 + 0.441914i) q^{2} +(0.452538 + 1.98270i) q^{3} +(1.61682 + 0.778621i) q^{4} +(-1.88332 + 2.36161i) q^{5} -0.921827 q^{6} +4.55915 q^{7} +(-1.07239 + 1.34474i) q^{8} +(-1.02340 + 0.492843i) q^{9} +(-0.853668 - 1.07047i) q^{10} +(-2.36856 + 1.14064i) q^{11} +(-0.812097 + 3.55803i) q^{12} +(0.657584 - 0.824584i) q^{13} +(-0.459854 + 2.01475i) q^{14} +(-5.53463 - 2.66534i) q^{15} +(1.75166 + 2.19651i) q^{16} +(0.623490 + 0.781831i) q^{17} +(-0.114570 - 0.501964i) q^{18} +(-1.21239 - 0.583858i) q^{19} +(-4.88379 + 2.35191i) q^{20} +(2.06319 + 9.03942i) q^{21} +(-0.265161 - 1.16175i) q^{22} +(5.69941 - 2.74469i) q^{23} +(-3.15151 - 1.51769i) q^{24} +(-0.917696 - 4.02069i) q^{25} +(0.298069 + 0.373766i) q^{26} +(2.36366 + 2.96394i) q^{27} +(7.37133 + 3.54985i) q^{28} +(2.15107 - 9.42445i) q^{29} +(1.73610 - 2.17699i) q^{30} +(2.09110 - 9.16170i) q^{31} +(-4.24665 + 2.04508i) q^{32} +(-3.33340 - 4.17996i) q^{33} +(-0.408390 + 0.196670i) q^{34} +(-8.58633 + 10.7669i) q^{35} -2.03839 q^{36} -8.68787 q^{37} +(0.380302 - 0.476883i) q^{38} +(1.93248 + 0.930635i) q^{39} +(-1.15608 - 5.06514i) q^{40} +(-0.894441 + 3.91880i) q^{41} -4.20274 q^{42} +(-5.40081 - 3.71904i) q^{43} -4.71767 q^{44} +(0.763486 - 3.34505i) q^{45} +(0.638052 + 2.79549i) q^{46} +(-5.11101 - 2.46133i) q^{47} +(-3.56233 + 4.46702i) q^{48} +13.7858 q^{49} +1.86936 q^{50} +(-1.26798 + 1.59000i) q^{51} +(1.70523 - 0.821198i) q^{52} +(3.80084 + 4.76611i) q^{53} +(-1.54822 + 0.745581i) q^{54} +(1.76701 - 7.74179i) q^{55} +(-4.88919 + 6.13085i) q^{56} +(0.608960 - 2.66803i) q^{57} +(3.94783 + 1.90118i) q^{58} +(-1.79126 - 2.24617i) q^{59} +(-6.87324 - 8.61876i) q^{60} +(-1.34012 - 5.87147i) q^{61} +(3.83776 + 1.84817i) q^{62} +(-4.66583 + 2.24694i) q^{63} +(0.774906 + 3.39509i) q^{64} +(0.708904 + 3.10591i) q^{65} +(2.18340 - 1.05147i) q^{66} +(8.09069 + 3.89627i) q^{67} +(0.399322 + 1.74955i) q^{68} +(8.02109 + 10.0581i) q^{69} +(-3.89200 - 4.88041i) q^{70} +(-14.3014 - 6.88717i) q^{71} +(0.434741 - 1.90472i) q^{72} +(4.56381 - 5.72284i) q^{73} +(0.876293 - 3.83929i) q^{74} +(7.55652 - 3.63903i) q^{75} +(-1.50562 - 1.88799i) q^{76} +(-10.7986 + 5.20033i) q^{77} +(-0.606178 + 0.760124i) q^{78} -8.31172 q^{79} -8.48624 q^{80} +(-6.93160 + 8.69195i) q^{81} +(-1.64156 - 0.790532i) q^{82} +(-1.43355 - 6.28080i) q^{83} +(-3.70247 + 16.2216i) q^{84} -3.02061 q^{85} +(2.18824 - 2.01158i) q^{86} +19.6593 q^{87} +(1.00617 - 4.40830i) q^{88} +(1.18508 + 5.19217i) q^{89} +(1.40122 + 0.674790i) q^{90} +(2.99802 - 3.75940i) q^{91} +11.3520 q^{92} +19.1112 q^{93} +(1.60321 - 2.01037i) q^{94} +(3.66217 - 1.76361i) q^{95} +(-5.97655 - 7.49436i) q^{96} +(11.5809 - 5.57707i) q^{97} +(-1.39049 + 6.09214i) q^{98} +(1.86183 - 2.33466i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) $ 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

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 $

$2$	−0.100864	+	0.441914i	−0.0713216	+	0.312480i	−0.997988	−	0.0634047i	$-0.979804\pi$
$2$	−0.100864	+	0.441914i	−0.0713216	+	0.312480i	0.926666	+	0.375885i	$0.122661\pi$
$3$	0.452538	+	1.98270i	0.261273	+	1.14471i	0.919872	+	0.392218i	$0.128292\pi$
$3$	0.452538	+	1.98270i	0.261273	+	1.14471i	−0.658599	+	0.752494i	$0.728851\pi$
$4$	1.61682	+	0.778621i	0.808412	+	0.389311i
$5$	−1.88332	+	2.36161i	−0.842246	+	1.05614i	0.155419	+	0.987849i	$0.450327\pi$
$5$	−1.88332	+	2.36161i	−0.842246	+	1.05614i	−0.997665	+	0.0682947i	$0.978244\pi$
$6$	−0.921827			−0.376334
$7$	4.55915			1.72320			0.861598	−	0.507592i	$-0.169464\pi$
$7$	4.55915			1.72320			0.861598	+	0.507592i	$0.169464\pi$
$8$	−1.07239	+	1.34474i	−0.379148	+	0.475436i
$9$	−1.02340	+	0.492843i	−0.341133	+	0.164281i
$10$	−0.853668	−	1.07047i	−0.269954	−	0.338511i
$11$	−2.36856	+	1.14064i	−0.714147	+	0.343915i	−0.755427	−	0.655232i	$-0.772571\pi$
$11$	−2.36856	+	1.14064i	−0.714147	+	0.343915i	0.0412801	+	0.999148i	$0.486856\pi$
$12$	−0.812097	+	3.55803i	−0.234432	+	1.02711i
$13$	0.657584	−	0.824584i	0.182381	−	0.228698i	−0.682234	−	0.731134i	$-0.738991\pi$
$13$	0.657584	−	0.824584i	0.182381	−	0.228698i	0.864614	+	0.502436i	$0.167563\pi$
$14$	−0.459854	+	2.01475i	−0.122901	+	0.538465i
$15$	−5.53463	−	2.66534i	−1.42904	−	0.688188i
$16$	1.75166	+	2.19651i	0.437915	+	0.549128i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$18$	−0.114570	−	0.501964i	−0.0270044	−	0.118314i
$19$	−1.21239	−	0.583858i	−0.278142	−	0.133946i	0.289613	−	0.957144i	$-0.406474\pi$
$19$	−1.21239	−	0.583858i	−0.278142	−	0.133946i	−0.567755	+	0.823198i	$0.692188\pi$
$20$	−4.88379	+	2.35191i	−1.09205	+	0.525903i
$21$	2.06319	+	9.03942i	0.450224	+	1.97256i
$22$	−0.265161	−	1.16175i	−0.0565326	−	0.247686i
$23$	5.69941	−	2.74469i	1.18841	−	0.572307i	0.268058	−	0.963403i	$-0.413618\pi$
$23$	5.69941	−	2.74469i	1.18841	−	0.572307i	0.920350	+	0.391095i	$0.127904\pi$
$24$	−3.15151	−	1.51769i	−0.643299	−	0.309796i
$25$	−0.917696	−	4.02069i	−0.183539	−	0.804137i
$26$	0.298069	+	0.373766i	0.0584560	+	0.0733016i
$27$	2.36366	+	2.96394i	0.454887	+	0.570411i
$28$	7.37133	+	3.54985i	1.39305	+	0.670858i
$29$	2.15107	−	9.42445i	0.399444	−	1.75008i	−0.230152	−	0.973155i	$-0.573922\pi$
$29$	2.15107	−	9.42445i	0.399444	−	1.75008i	0.629596	−	0.776923i	$-0.283220\pi$
$30$	1.73610	−	2.17699i	0.316966	−	0.397463i
$31$	2.09110	−	9.16170i	0.375572	−	1.64549i	−0.335259	−	0.942126i	$-0.608824\pi$
$31$	2.09110	−	9.16170i	0.375572	−	1.64549i	0.710831	−	0.703363i	$-0.248319\pi$
$32$	−4.24665	+	2.04508i	−0.750709	+	0.361522i
$33$	−3.33340	−	4.17996i	−0.580271	−	0.727637i
$34$	−0.408390	+	0.196670i	−0.0700383	+	0.0337287i
$35$	−8.58633	+	10.7669i	−1.45135	+	1.81994i
$36$	−2.03839			−0.339732
$37$	−8.68787			−1.42828			−0.714138	−	0.700005i	$-0.753181\pi$
$37$	−8.68787			−1.42828			−0.714138	+	0.700005i	$0.753181\pi$
$38$	0.380302	−	0.476883i	0.0616931	−	0.0773607i
$39$	1.93248	+	0.930635i	0.309445	+	0.149021i
$40$	−1.15608	−	5.06514i	−0.182793	−	0.800869i
$41$	−0.894441	+	3.91880i	−0.139688	+	0.612014i	0.855815	+	0.517283i	$0.173056\pi$
$41$	−0.894441	+	3.91880i	−0.139688	+	0.612014i	−0.995503	+	0.0947313i	$0.969801\pi$
$42$	−4.20274			−0.648498
$43$	−5.40081	−	3.71904i	−0.823616	−	0.567148i
$43$	−5.40081	−	3.71904i	−0.823616	−	0.567148i
$44$	−4.71767			−0.711215
$45$	0.763486	−	3.34505i	0.113814	−	0.498650i
$46$	0.638052	+	2.79549i	0.0940756	+	0.412172i
$47$	−5.11101	−	2.46133i	−0.745517	−	0.359022i	0.0222490	−	0.999752i	$-0.492917\pi$
$47$	−5.11101	−	2.46133i	−0.745517	−	0.359022i	−0.767766	+	0.640730i	$0.778632\pi$
$48$	−3.56233	+	4.46702i	−0.514178	+	0.644759i
$49$	13.7858			1.96940
$50$	1.86936			0.264367
$51$	−1.26798	+	1.59000i	−0.177553	+	0.222645i
$52$	1.70523	−	0.821198i	0.236474	−	0.113880i
$53$	3.80084	+	4.76611i	0.522086	+	0.654675i	0.971050	−	0.238875i	$-0.0767785\pi$
$53$	3.80084	+	4.76611i	0.522086	+	0.654675i	−0.448965	+	0.893550i	$0.648207\pi$
$54$	−1.54822	+	0.745581i	−0.210685	+	0.101461i
$55$	1.76701	−	7.74179i	0.238264	−	1.04390i
$56$	−4.88919	+	6.13085i	−0.653346	+	0.819269i
$57$	0.608960	−	2.66803i	0.0806587	−	0.353389i
$58$	3.94783	+	1.90118i	0.518376	+	0.249637i
$59$	−1.79126	−	2.24617i	−0.233203	−	0.292427i	0.651437	−	0.758703i	$-0.274167\pi$
$59$	−1.79126	−	2.24617i	−0.233203	−	0.292427i	−0.884639	+	0.466276i	$0.845595\pi$
$60$	−6.87324	−	8.61876i	−0.887331	−	1.11268i
$61$	−1.34012	−	5.87147i	−0.171585	−	0.751765i	−0.985346	−	0.170565i	$-0.945441\pi$
$61$	−1.34012	−	5.87147i	−0.171585	−	0.751765i	0.813761	−	0.581200i	$-0.197416\pi$
$62$	3.83776	+	1.84817i	0.487397	+	0.234718i
$63$	−4.66583	+	2.24694i	−0.587839	+	0.283088i
$64$	0.774906	+	3.39509i	0.0968633	+	0.424386i
$65$	0.708904	+	3.10591i	0.0879287	+	0.385241i
$66$	2.18340	−	1.05147i	0.268758	−	0.129427i
$67$	8.09069	+	3.89627i	0.988435	+	0.476005i	0.856998	−	0.515320i	$-0.172327\pi$
$67$	8.09069	+	3.89627i	0.988435	+	0.476005i	0.131437	+	0.991325i	$0.458041\pi$
$68$	0.399322	+	1.74955i	0.0484250	+	0.212164i
$69$	8.02109	+	10.0581i	0.965626	+	1.21086i
$70$	−3.89200	−	4.88041i	−0.465183	−	0.583321i
$71$	−14.3014	−	6.88717i	−1.69726	−	0.817357i	−0.994359	−	0.106069i	$-0.966174\pi$
$71$	−14.3014	−	6.88717i	−1.69726	−	0.817357i	−0.702901	−	0.711288i	$-0.748112\pi$
$72$	0.434741	−	1.90472i	0.0512347	−	0.224474i
$73$	4.56381	−	5.72284i	0.534154	−	0.669807i	−0.439393	−	0.898295i	$-0.644807\pi$
$73$	4.56381	−	5.72284i	0.534154	−	0.669807i	0.973547	+	0.228487i	$0.0733780\pi$
$74$	0.876293	−	3.83929i	0.101867	−	0.446308i
$75$	7.55652	−	3.63903i	0.872552	−	0.420199i
$76$	−1.50562	−	1.88799i	−0.172707	−	0.216567i
$77$	−10.7986	+	5.20033i	−1.23062	+	0.592633i
$78$	−0.606178	+	0.760124i	−0.0686362	+	0.0860671i
$79$	−8.31172			−0.935142			−0.467571	−	0.883956i	$-0.654871\pi$
$79$	−8.31172			−0.935142			−0.467571	+	0.883956i	$0.654871\pi$
$80$	−8.48624			−0.948791
$81$	−6.93160	+	8.69195i	−0.770178	+	0.965772i
$82$	−1.64156	−	0.790532i	−0.181279	−	0.0872996i
$83$	−1.43355	−	6.28080i	−0.157353	−	0.689407i	−0.990632	−	0.136556i	$-0.956397\pi$
$83$	−1.43355	−	6.28080i	−0.157353	−	0.689407i	0.833280	−	0.552852i	$-0.186460\pi$
$84$	−3.70247	+	16.2216i	−0.403973	+	1.76992i
$85$	−3.02061			−0.327631
$86$	2.18824	−	2.01158i	0.235964	−	0.216914i
$87$	19.6593			2.10770
$88$	1.00617	−	4.40830i	0.107258	−	0.469926i
$89$	1.18508	+	5.19217i	0.125618	+	0.550369i	0.998094	+	0.0617120i	$0.0196560\pi$
$89$	1.18508	+	5.19217i	0.125618	+	0.550369i	−0.872476	+	0.488657i	$0.837487\pi$
$90$	1.40122	+	0.674790i	0.147701	+	0.0711291i
$91$	2.99802	−	3.75940i	0.314278	−	0.394092i
$92$	11.3520			1.18353
$93$	19.1112			1.98174
$94$	1.60321	−	2.01037i	0.165359	−	0.207353i
$95$	3.66217	−	1.76361i	0.375730	−	0.180942i
$96$	−5.97655	−	7.49436i	−0.609979	−	0.764889i
$97$	11.5809	−	5.57707i	1.17586	−	0.566265i	0.259159	−	0.965835i	$-0.416555\pi$
$97$	11.5809	−	5.57707i	1.17586	−	0.566265i	0.916703	+	0.399569i	$0.130840\pi$
$98$	−1.39049	+	6.09214i	−0.140461	+	0.615399i
$99$	1.86183	−	2.33466i	0.187120	−	0.234642i
$100$	1.64684	−	7.21528i	0.164684	−	0.721528i
$101$	13.0928	+	6.30517i	1.30278	+	0.627388i	0.951144	−	0.308747i	$-0.0999096\pi$
$101$	13.0928	+	6.30517i	1.30278	+	0.627388i	0.351641	+	0.936135i	$0.385624\pi$
$102$	−0.574750	−	0.720714i	−0.0569087	−	0.0713613i
$103$	11.1104	+	13.9321i	1.09474	+	1.37277i	0.921723	+	0.387848i	$0.126781\pi$
$103$	11.1104	+	13.9321i	1.09474	+	1.37277i	0.173021	+	0.984918i	$0.444647\pi$
$104$	0.403661	+	1.76855i	0.0395822	+	0.173421i
$105$	−25.2332	−	12.1517i	−2.46251	−	1.18588i
$106$	−2.48958	+	1.19892i	−0.241809	+	0.116449i
$107$	2.99695	+	13.1305i	0.289726	+	1.26937i	0.884901	+	0.465778i	$0.154226\pi$
$107$	2.99695	+	13.1305i	0.289726	+	1.26937i	−0.595175	+	0.803596i	$0.702917\pi$
$108$	1.51384	+	6.63257i	0.145669	+	0.638219i
$109$	−13.7560	+	6.62454i	−1.31759	+	0.634516i	−0.954770	−	0.297345i	$-0.903899\pi$
$109$	−13.7560	+	6.62454i	−1.31759	+	0.634516i	−0.362815	+	0.931861i	$0.618184\pi$
$110$	3.24298	+	1.56174i	0.309206	+	0.148906i
$111$	−3.93159	−	17.2254i	−0.373170	−	1.63497i
$112$	7.98608	+	10.0142i	0.754613	+	0.946255i
$113$	−3.90325	−	4.89452i	−0.367187	−	0.460438i	0.563574	−	0.826065i	$-0.309426\pi$
$113$	−3.90325	−	4.89452i	−0.367187	−	0.460438i	−0.930761	+	0.365628i	$0.880854\pi$
$114$	1.11762	+	0.538216i	0.104674	+	0.0504085i
$115$	−4.25192	+	18.6289i	−0.396494	+	1.73715i
$116$	10.8160	−	13.5628i	1.00424	−	1.25928i
$117$	−0.266580	+	1.16796i	−0.0246453	+	0.107978i
$118$	1.17329	−	0.565026i	0.108010	−	0.0520149i
$119$	2.84258	+	3.56448i	0.260579	+	0.326756i
$120$	9.51947	−	4.58434i	0.869005	−	0.418491i
$121$	−2.54937	+	3.19681i	−0.231761	+	0.290619i
$122$	2.72985			0.247149
$123$	−8.17457			−0.737076
$124$	10.5144	−	13.1847i	0.944223	−	1.18402i
$125$	−2.38378	−	1.14797i	−0.213212	−	0.102677i
$126$	−0.522342	−	2.28853i	−0.0465339	−	0.203878i
$127$	0.533850	−	2.33895i	0.0473715	−	0.207548i	−0.945703	−	0.325031i	$-0.894625\pi$
$127$	0.533850	−	2.33895i	0.0473715	−	0.207548i	0.993075	+	0.117483i	$0.0374825\pi$
$128$	−11.0053			−0.972745
$129$	4.92966	−	12.3912i	0.434033	−	1.09098i
$130$	−1.44405			−0.126651
$131$	−1.54898	+	6.78651i	−0.135335	+	0.592940i	0.861090	+	0.508453i	$0.169782\pi$
$131$	−1.54898	+	6.78651i	−0.135335	+	0.592940i	−0.996425	+	0.0844873i	$0.973075\pi$
$132$	−2.13492	−	9.35371i	−0.185821	−	0.814136i
$133$	−5.52748	−	2.66189i	−0.479293	−	0.230815i
$134$	−2.53787	+	3.18239i	−0.219239	+	0.274917i
$135$	−11.4512			−0.985563
$136$	−1.71998			−0.147487
$137$	2.17753	−	2.73054i	0.186039	−	0.233285i	−0.680062	−	0.733155i	$-0.738047\pi$
$137$	2.17753	−	2.73054i	0.186039	−	0.233285i	0.866101	+	0.499869i	$0.166619\pi$
$138$	−5.25387	+	2.53013i	−0.447239	+	0.215379i
$139$	1.11410	+	1.39704i	0.0944967	+	0.118495i	0.826832	−	0.562449i	$-0.190141\pi$
$139$	1.11410	+	1.39704i	0.0944967	+	0.118495i	−0.732335	+	0.680945i	$0.761569\pi$
$140$	−22.2659	+	10.7227i	−1.88181	+	0.906234i
$141$	2.56715	−	11.2474i	0.216193	−	0.947205i
$142$	4.48603	−	5.62530i	0.376459	−	0.472065i
$143$	−0.616974	+	2.70314i	−0.0515940	+	0.226048i
$144$	−2.87518	−	1.38462i	−0.239599	−	0.115385i
$145$	18.2057	+	22.8292i	1.51190	+	1.89587i
$146$	2.06868	+	2.59404i	0.171205	+	0.214684i
$147$	6.23861	+	27.3331i	0.514552	+	2.25440i
$148$	−14.0467	−	6.76456i	−1.15464	−	0.556043i
$149$	15.4623	−	7.44626i	1.26672	−	0.610022i	0.324778	−	0.945790i	$-0.394710\pi$
$149$	15.4623	−	7.44626i	1.26672	−	0.610022i	0.941945	+	0.335769i	$0.108996\pi$
$150$	0.845957	+	3.70638i	0.0690721	+	0.302625i
$151$	−4.58787	−	20.1008i	−0.373356	−	1.63578i	−0.717283	−	0.696782i	$-0.754614\pi$
$151$	−4.58787	−	20.1008i	−0.373356	−	1.63578i	0.343927	−	0.938996i	$-0.388243\pi$
$152$	2.08530	−	1.00423i	0.169140	−	0.0814534i
$153$	−1.02340	−	0.492843i	−0.0827369	−	0.0398440i
$154$	−1.20891	−	5.29658i	−0.0974167	−	0.426811i
$155$	17.6981	+	22.1928i	1.42155	+	1.78256i
$156$	2.39987	+	3.00934i	0.192144	+	0.240940i
$157$	−1.57123	−	0.756663i	−0.125398	−	0.0603883i	0.370133	−	0.928979i	$-0.379312\pi$
$157$	−1.57123	−	0.756663i	−0.125398	−	0.0603883i	−0.495531	+	0.868590i	$0.665026\pi$
$158$	0.838353	−	3.67307i	0.0666958	−	0.292213i
$159$	−7.72973	+	9.69277i	−0.613007	+	0.768687i
$160$	3.16813	−	13.8805i	0.250462	−	1.09735i
$161$	25.9844	−	12.5134i	2.04786	−	0.986197i
$162$	−3.14195	−	3.93987i	−0.246855	−	0.309546i
$163$	−4.53728	+	2.18504i	−0.355387	+	0.171145i	−0.603055	−	0.797700i	$-0.706050\pi$
$163$	−4.53728	+	2.18504i	−0.355387	+	0.171145i	0.247668	+	0.968845i	$0.420336\pi$
$164$	−4.49741	+	5.63958i	−0.351189	+	0.440377i
$165$	16.1493			1.25722
$166$	2.92017			0.226649
$167$	8.62669	−	10.8175i	0.667553	−	0.837085i	−0.326589	−	0.945167i	$-0.605899\pi$
$167$	8.62669	−	10.8175i	0.667553	−	0.837085i	0.994142	+	0.108081i	$0.0344707\pi$
$168$	−14.3682	−	6.91935i	−1.10853	−	0.533840i
$169$	2.64525	+	11.5896i	0.203481	+	0.891507i
$170$	0.304671	−	1.33485i	0.0233672	−	0.102378i
$171$	1.52851			0.116888
$172$	−5.83643	−	10.2182i	−0.445024	−	0.779132i
$173$	8.02052			0.609789			0.304894	−	0.952386i	$-0.401379\pi$
$173$	8.02052			0.609789			0.304894	+	0.952386i	$0.401379\pi$
$174$	−1.98292	+	8.68772i	−0.150324	+	0.658614i
$175$	−4.18391	−	18.3309i	−0.316274	−	1.38569i
$176$	−6.65434	−	3.20456i	−0.501590	−	0.241553i
$177$	3.64287	−	4.56801i	0.273815	−	0.343353i
$178$	−2.41403			−0.180939
$179$	−22.6994			−1.69663			−0.848315	−	0.529492i	$-0.822382\pi$
$179$	−22.6994			−1.69663			−0.848315	+	0.529492i	$0.822382\pi$
$180$	3.83895	−	4.81389i	0.286138	−	0.358806i
$181$	−3.17708	+	1.53000i	−0.236150	+	0.113724i	−0.548217	−	0.836336i	$-0.684693\pi$
$181$	−3.17708	+	1.53000i	−0.236150	+	0.113724i	0.312066	+	0.950060i	$0.398979\pi$
$182$	1.35894	+	1.70405i	0.100731	+	0.126313i
$183$	11.0349	−	5.31413i	0.815724	−	0.392832i
$184$	−2.42111	+	10.6076i	−0.178487	+	0.782001i
$185$	16.3620	−	20.5173i	1.20296	−	1.50846i
$186$	−1.92763	+	8.44550i	−0.141341	+	0.619254i
$187$	−2.36856	−	1.14064i	−0.173206	−	0.0834117i
$188$	−6.34715	−	7.95908i	−0.462914	−	0.580475i
$189$	10.7763	+	13.5130i	0.783860	+	0.982929i
$190$	0.409982	+	1.79625i	0.0297432	+	0.130313i
$191$	6.70808	+	3.23044i	0.485380	+	0.233747i	0.660536	−	0.750794i	$-0.270329\pi$
$191$	6.70808	+	3.23044i	0.485380	+	0.233747i	−0.175157	+	0.984541i	$0.556043\pi$
$192$	−6.38076	+	3.07281i	−0.460492	+	0.221761i
$193$	−0.984056	−	4.31143i	−0.0708339	−	0.310344i	0.927083	−	0.374856i	$-0.122308\pi$
$193$	−0.984056	−	4.31143i	−0.0708339	−	0.310344i	−0.997917	+	0.0645125i	$0.979451\pi$
$194$	1.29649	+	5.68029i	0.0930824	+	0.407821i
$195$	−5.83728	+	2.81109i	−0.418016	+	0.201306i
$196$	22.2892	+	10.7339i	1.59209	+	0.766709i
$197$	−0.227568	−	0.997042i	−0.0162136	−	0.0710363i	0.966174	−	0.257891i	$-0.0830277\pi$
$197$	−0.227568	−	0.997042i	−0.0162136	−	0.0710363i	−0.982387	+	0.186855i	$0.940171\pi$
$198$	0.843926	+	1.05825i	0.0599752	+	0.0752065i
$199$	13.6247	+	17.0849i	0.965830	+	1.21111i	0.977447	+	0.211181i	$0.0677308\pi$
$199$	13.6247	+	17.0849i	0.965830	+	1.21111i	−0.0116166	+	0.999933i	$0.503698\pi$
$200$	6.39089	+	3.07769i	0.451905	+	0.217626i
$201$	−4.06379	+	17.8046i	−0.286637	+	1.25584i
$202$	−4.10694	+	5.14994i	−0.288963	+	0.362348i
$203$	9.80704	−	42.9675i	0.688320	−	3.01573i
$204$	−3.28811	+	1.58347i	−0.230214	+	0.110865i
$205$	−7.57015	−	9.49267i	−0.528723	−	0.662997i
$206$	−7.27741	+	3.50462i	−0.507041	+	0.244178i
$207$	−4.48007	+	5.61783i	−0.311386	+	0.390466i
$208$	2.96307			0.205452
$209$	3.53759			0.244700
$210$	7.91511	−	9.92524i	0.546195	−	0.684906i
$211$	6.70976	+	3.23125i	0.461919	+	0.222448i	0.650345	−	0.759639i	$-0.274624\pi$
$211$	6.70976	+	3.23125i	0.461919	+	0.222448i	−0.188426	+	0.982087i	$0.560339\pi$
$212$	2.43430	+	10.6654i	0.167188	+	0.732500i
$213$	7.18328	−	31.4720i	0.492190	−	2.15643i
$214$	−6.10484			−0.417318
$215$	18.9544	−	5.75046i	1.29268	−	0.392178i
$216$	−6.52050			−0.443664
$217$	9.53362	−	41.7695i	0.647184	−	2.83550i
$218$	−1.53999	−	6.74714i	−0.104301	−	0.456974i
$219$	13.4120	+	6.45886i	0.906297	+	0.436449i
$220$	8.88487	−	11.1413i	0.599018	−	0.751145i
$221$	1.05468			0.0709456
$222$	8.00871			0.537510
$223$	−8.96273	+	11.2389i	−0.600189	+	0.752613i	−0.985407	−	0.170213i	$-0.945555\pi$
$223$	−8.96273	+	11.2389i	−0.600189	+	0.752613i	0.385219	+	0.922825i	$0.374126\pi$
$224$	−19.3611	+	9.32382i	−1.29362	+	0.622974i
$225$	2.92074	+	3.66249i	0.194716	+	0.244166i
$226$	2.55665	−	1.23122i	0.170066	−	0.0818995i
$227$	2.67997	−	11.7417i	0.177876	−	0.779326i	−0.804733	−	0.593637i	$-0.797691\pi$
$227$	2.67997	−	11.7417i	0.177876	−	0.779326i	0.982609	−	0.185688i	$-0.0594515\pi$
$228$	3.06196	−	3.83958i	0.202784	−	0.254283i
$229$	−2.02424	+	8.86876i	−0.133765	+	0.586064i	0.862965	+	0.505264i	$0.168605\pi$
$229$	−2.02424	+	8.86876i	−0.133765	+	0.586064i	−0.996730	+	0.0808004i	$0.974252\pi$
$230$	−7.80350	−	3.75797i	−0.514548	−	0.247793i
$231$	−15.1975	−	19.0570i	−0.999921	−	1.25386i
$232$	10.3666	+	12.9993i	0.680602	+	0.853448i
$233$	−1.68194	−	7.36906i	−0.110188	−	0.482763i	−0.999667	−	0.0257889i	$-0.991790\pi$
$233$	−1.68194	−	7.36906i	−0.110188	−	0.482763i	0.889480	−	0.456974i	$-0.151067\pi$
$234$	−0.489251	−	0.235611i	−0.0319833	−	0.0154024i
$235$	15.4384	−	7.43472i	1.00709	−	0.484988i
$236$	−1.14724	−	5.02638i	−0.0746789	−	0.327189i
$237$	−3.76137	−	16.4796i	−0.244327	−	1.07047i
$238$	−1.86191	+	0.896648i	−0.120690	+	0.0581211i
$239$	8.28129	+	3.98806i	0.535672	+	0.257966i	0.682105	−	0.731255i	$-0.261065\pi$
$239$	8.28129	+	3.98806i	0.535672	+	0.257966i	−0.146433	+	0.989221i	$0.546779\pi$
$240$	−3.84035	−	16.8257i	−0.247893	−	1.08609i
$241$	12.1403	+	15.2234i	0.782025	+	0.980628i	0.999989	+	0.00467167i	$0.00148705\pi$
$241$	12.1403	+	15.2234i	0.782025	+	0.980628i	−0.217964	+	0.975957i	$0.569942\pi$
$242$	−1.15558	−	1.44905i	−0.0742832	−	0.0931482i
$243$	−10.1236	−	4.87525i	−0.649426	−	0.312747i
$244$	2.40491	−	10.5366i	0.153958	−	0.674535i
$245$	−25.9631	+	32.5567i	−1.65872	+	2.07997i
$246$	0.824520	−	3.61246i	0.0525695	−	0.230322i
$247$	−1.27869	+	0.615784i	−0.0813610	+	0.0391814i
$248$	10.0776	+	12.6369i	0.639928	+	0.802444i
$249$	11.8042	−	5.68460i	0.748061	−	0.360247i
$250$	0.747740	−	0.937636i	0.0472912	−	0.0593013i
$251$	19.1667			1.20979			0.604895	−	0.796306i	$-0.293215\pi$
$251$	19.1667			1.20979			0.604895	+	0.796306i	$0.293215\pi$
$252$	−9.29334			−0.585425
$253$	−10.3687	+	13.0019i	−0.651873	+	0.817423i
$254$	0.979768	+	0.471831i	0.0614761	+	0.0296053i
$255$	−1.36694	−	5.98896i	−0.0856012	−	0.375043i
$256$	−0.439769	+	1.92675i	−0.0274856	+	0.120422i
$257$	−22.3162			−1.39205			−0.696023	−	0.718020i	$-0.745049\pi$
$257$	−22.3162			−1.39205			−0.696023	+	0.718020i	$0.745049\pi$
$258$	4.97861	+	3.42831i	0.309955	+	0.213437i
$259$	−39.6093			−2.46120
$260$	−1.27215	+	5.57367i	−0.0788957	+	0.345665i
$261$	2.44337	+	10.7051i	0.151241	+	0.662630i
$262$	−2.84282	−	1.36903i	−0.175630	−	0.0845789i
$263$	−4.24867	+	5.32766i	−0.261984	+	0.328518i	−0.895374	−	0.445315i	$-0.853092\pi$
$263$	−4.24867	+	5.32766i	−0.261984	+	0.328518i	0.633390	+	0.773833i	$0.281663\pi$
$264$	9.19566			0.565954
$265$	−18.4139			−1.13116
$266$	1.73385	−	2.17418i	0.106309	−	0.133308i
$267$	−9.75823	+	4.69931i	−0.597194	+	0.287593i
$268$	10.0475	+	12.5992i	0.613748	+	0.769616i
$269$	3.74638	−	1.80416i	0.228421	−	0.110002i	−0.316173	−	0.948702i	$-0.602398\pi$
$269$	3.74638	−	1.80416i	0.228421	−	0.110002i	0.544594	+	0.838700i	$0.316684\pi$
$270$	1.15501	−	5.06045i	0.0702919	−	0.307969i
$271$	−1.71846	+	2.15488i	−0.104389	+	0.130900i	−0.831282	−	0.555851i	$-0.812392\pi$
$271$	−1.71846	+	2.15488i	−0.104389	+	0.130900i	0.726893	+	0.686751i	$0.240964\pi$
$272$	−0.625161	+	2.73901i	−0.0379059	+	0.166077i
$273$	8.81047	+	4.24290i	0.533234	+	0.256792i
$274$	0.987027	+	1.23769i	0.0596285	+	0.0747718i
$275$	6.75976	+	8.47647i	0.407629	+	0.511151i
$276$	5.13722	+	22.5076i	0.309224	+	1.35480i
$277$	−12.2075	−	5.87884i	−0.733480	−	0.353225i	0.0295719	−	0.999563i	$-0.490586\pi$
$277$	−12.2075	−	5.87884i	−0.733480	−	0.353225i	−0.763052	+	0.646337i	$0.776300\pi$
$278$	−0.729742	+	0.351425i	−0.0437670	+	0.0210771i
$279$	2.37525	+	10.4067i	0.142203	+	0.623030i
$280$	−5.27076	−	23.0927i	−0.314988	−	1.38005i
$281$	−8.01018	+	3.85750i	−0.477847	+	0.230119i	−0.657273	−	0.753652i	$-0.728290\pi$
$281$	−8.01018	+	3.85750i	−0.477847	+	0.230119i	0.179426	+	0.983771i	$0.442576\pi$
$282$	4.71147	+	2.26892i	0.280564	+	0.135112i
$283$	5.28702	+	23.1639i	0.314281	+	1.37695i	0.847419	+	0.530925i	$0.178156\pi$
$283$	5.28702	+	23.1639i	0.314281	+	1.37695i	−0.533138	+	0.846028i	$0.678987\pi$
$284$	−17.7603	−	22.2707i	−1.05388	−	1.32152i
$285$	5.15397	+	6.46288i	0.305295	+	0.382828i
$286$	−1.13232	−	0.545299i	−0.0669557	−	0.0322442i
$287$	−4.07789	+	17.8664i	−0.240710	+	1.05462i
$288$	3.33812	−	4.18587i	0.196700	−	0.246654i
$289$	−0.222521	+	0.974928i	−0.0130895	+	0.0573487i
$290$	−11.9249	+	5.74271i	−0.700252	+	0.337224i
$291$	16.2984	+	20.4376i	0.955432	+	1.19807i
$292$	11.8348	−	5.69934i	0.692579	−	0.333529i
$293$	−2.51306	+	3.15127i	−0.146814	+	0.184099i	−0.849801	−	0.527104i	$-0.823278\pi$
$293$	−2.51306	+	3.15127i	−0.146814	+	0.184099i	0.702987	+	0.711203i	$0.251849\pi$
$294$	−12.7081			−0.741154
$295$	8.67810			0.505259
$296$	9.31680	−	11.6829i	0.541528	−	0.679054i
$297$	−8.97926	−	4.32418i	−0.521030	−	0.250915i
$298$	1.73102	+	7.58407i	0.100275	+	0.439334i
$299$	1.48461	−	6.50450i	0.0858572	−	0.376165i
$300$	15.0510			0.868969
$301$	−24.6231	−	16.9556i	−1.41925	−	0.977307i
$302$	9.34557			0.537777
$303$	−6.57626	+	28.8125i	−0.377796	+	1.65523i
$304$	−0.841250	−	3.68576i	−0.0482490	−	0.211393i
$305$	16.3900	+	7.89301i	0.938488	+	0.451952i
$306$	0.321018	−	0.402544i	0.0183514	−	0.0230119i
$307$	6.02425			0.343822			0.171911	−	0.985112i	$-0.445006\pi$
$307$	6.02425			0.343822			0.171911	+	0.985112i	$0.445006\pi$
$308$	−21.5085			−1.22556
$309$	−22.5952	+	28.3335i	−1.28539	+	1.61183i
$310$	−11.5924	+	5.58260i	−0.658404	+	0.317070i
$311$	−6.64077	−	8.32727i	−0.376564	−	0.472196i	0.557049	−	0.830480i	$-0.311934\pi$
$311$	−6.64077	−	8.32727i	−0.376564	−	0.472196i	−0.933613	+	0.358284i	$0.883362\pi$
$312$	−3.32384	+	1.60068i	−0.188175	+	0.0906204i
$313$	1.75764	−	7.70071i	0.0993475	−	0.435270i	−0.900652	−	0.434541i	$-0.856911\pi$
$313$	1.75764	−	7.70071i	0.0993475	−	0.435270i	1.00000		0.000729128i	$-0.000232089\pi$
$314$	0.492860	−	0.618027i	0.0278137	−	0.0348773i
$315$	3.48084	−	15.2506i	0.196123	−	0.859272i
$316$	−13.4386	−	6.47168i	−0.755980	−	0.364061i
$317$	−10.2652	−	12.8722i	−0.576551	−	0.722972i	0.404969	−	0.914330i	$-0.367282\pi$
$317$	−10.2652	−	12.8722i	−0.576551	−	0.722972i	−0.981520	+	0.191358i	$0.938711\pi$
$318$	−3.50372	−	4.39353i	−0.196479	−	0.246377i
$319$	5.65495	+	24.7760i	0.316617	+	1.38719i
$320$	−9.47726	−	4.56401i	−0.529795	−	0.255136i
$321$	−24.6776	+	11.8841i	−1.37737	+	0.663307i
$322$	2.90897	+	12.7450i	0.162111	+	0.710253i
$323$	−0.299436	−	1.31192i	−0.0166611	−	0.0729970i
$324$	−17.9749	+	8.65626i	−0.998606	+	0.480903i
$325$	−3.91885	−	1.88722i	−0.217379	−	0.104684i
$326$	−0.507951	−	2.22548i	−0.0281328	−	0.123258i
$327$	−19.3596	−	24.2761i	−1.07059	−	1.34247i
$328$	−4.31056	−	5.40528i	−0.238011	−	0.298456i
$329$	−23.3018	−	11.2216i	−1.28467	−	0.618665i
$330$	−1.62888	+	7.13659i	−0.0896670	+	0.392857i
$331$	6.47013	−	8.11329i	0.355631	−	0.445947i	−0.571547	−	0.820570i	$-0.693656\pi$
$331$	6.47013	−	8.11329i	0.355631	−	0.445947i	0.927177	+	0.374623i	$0.122228\pi$
$332$	2.57256	−	11.2711i	0.141188	−	0.618584i
$333$	8.89116	−	4.28176i	0.487232	−	0.234639i
$334$	3.91029	+	4.90335i	0.213962	+	0.268299i
$335$	−24.4388	+	11.7691i	−1.33523	+	0.643015i
$336$	−16.2412	+	20.3658i	−0.886030	+	1.11105i
$337$	−32.5121			−1.77105			−0.885525	−	0.464592i	$-0.846201\pi$
$337$	−32.5121			−1.77105			−0.885525	+	0.464592i	$0.846201\pi$
$338$	−5.38841			−0.293091
$339$	7.93799	−	9.95393i	0.431132	−	0.540623i
$340$	−4.88379	−	2.35191i	−0.264861	−	0.127550i
$341$	5.49729	+	24.0852i	0.297695	+	1.30429i
$342$	−0.154172	+	0.675471i	−0.00833666	+	0.0365253i
$343$	30.9375			1.67047
$344$	10.7929	−	3.27440i	0.581915	−	0.176544i
$345$	−38.8597			−2.09213
$346$	−0.808981	+	3.54438i	−0.0434911	+	0.190547i
$347$	−5.39503	−	23.6372i	−0.289620	−	1.26891i	−0.885048	−	0.465501i	$-0.845874\pi$
$347$	−5.39503	−	23.6372i	−0.289620	−	1.26891i	0.595427	−	0.803409i	$-0.296983\pi$
$348$	31.7856	+	15.3071i	1.70389	+	0.820549i
$349$	−11.3028	+	14.1733i	−0.605027	+	0.758680i	−0.986152	−	0.165844i	$-0.946965\pi$
$349$	−11.3028	+	14.1733i	−0.605027	+	0.758680i	0.381125	+	0.924523i	$0.375537\pi$
$350$	8.52268			0.455557
$351$	3.99833			0.213415
$352$	7.72575	−	9.68778i	0.411784	−	0.516360i
$353$	−17.9657	+	8.65184i	−0.956220	+	0.460491i	−0.845863	−	0.533401i	$-0.820914\pi$
$353$	−17.9657	+	8.65184i	−0.956220	+	0.460491i	−0.110357	+	0.993892i	$0.535199\pi$
$354$	1.65123	+	2.07058i	0.0877621	+	0.110050i
$355$	43.1988	−	20.8035i	2.29276	−	1.10413i
$356$	−2.12667	+	9.31756i	−0.112713	+	0.493829i
$357$	−5.78092	+	7.24905i	−0.305959	+	0.383660i
$358$	2.28955	−	10.0312i	0.121006	−	0.530163i
$359$	22.3714	+	10.7735i	1.18072	+	0.568603i	0.918120	−	0.396303i	$-0.129707\pi$
$359$	22.3714	+	10.7735i	1.18072	+	0.568603i	0.262596	+	0.964906i	$0.415421\pi$
$360$	3.67945	+	4.61389i	0.193924	+	0.243173i
$361$	−10.7173	−	13.4391i	−0.564068	−	0.707319i
$362$	−0.355676	−	1.55832i	−0.0186939	−	0.0819033i
$363$	−7.49201	−	3.60796i	−0.393228	−	0.189369i
$364$	7.77441	−	3.74396i	0.407490	−	0.196237i
$365$	4.91999	+	21.5559i	0.257524	+	1.12829i
$366$	1.23536	+	5.41248i	0.0645735	+	0.282915i
$367$	−20.2396	+	9.74688i	−1.05650	+	0.508783i	−0.879732	−	0.475470i	$-0.842278\pi$
$367$	−20.2396	+	9.74688i	−1.05650	+	0.508783i	−0.176767	+	0.984253i	$0.556564\pi$
$368$	16.0122	+	7.71106i	0.834692	+	0.401967i
$369$	−1.01598	−	4.45132i	−0.0528900	−	0.231726i
$370$	7.41656	+	9.30007i	0.385568	+	0.483488i
$371$	17.3286	+	21.7294i	0.899656	+	1.12813i
$372$	30.8994	+	14.8804i	1.60206	+	0.771512i
$373$	2.12679	−	9.31807i	0.110121	−	0.482471i	−0.889550	−	0.456837i	$-0.848982\pi$
$373$	2.12679	−	9.31807i	0.110121	−	0.482471i	0.999671	−	0.0256345i	$-0.00816060\pi$
$374$	0.742966	−	0.931650i	0.0384178	−	0.0481745i
$375$	1.19732	−	5.24581i	0.0618295	−	0.270893i
$376$	8.79084	−	4.23345i	0.453353	−	0.218323i
$377$	−6.35674	−	7.97110i	−0.327389	−	0.410533i
$378$	−7.05854	+	3.39921i	−0.363052	+	0.174837i
$379$	−15.3721	+	19.2760i	−0.789611	+	0.990141i	0.210311	+	0.977635i	$0.432552\pi$
$379$	−15.3721	+	19.2760i	−0.789611	+	0.990141i	−0.999922	+	0.0125061i	$0.996019\pi$
$380$	7.29426			0.374188
$381$	4.87902			0.249960
$382$	−2.10418	+	2.63856i	−0.107659	+	0.135000i
$383$	0.154874	+	0.0745836i	0.00791371	+	0.00381104i	0.437836	−	0.899055i	$-0.355745\pi$
$383$	0.154874	+	0.0745836i	0.00791371	+	0.00381104i	−0.429923	+	0.902866i	$0.641459\pi$
$384$	−4.98034	−	21.8203i	−0.254152	−	1.11351i
$385$	8.05607	−	35.2960i	0.410576	−	1.79885i
$386$	2.00454			0.102028
$387$	7.36009	+	1.14431i	0.374134	+	0.0581686i
$388$	23.0667			1.17103
$389$	0.179725	−	0.787427i	0.00911242	−	0.0399241i	−0.970167	−	0.242436i	$-0.922053\pi$
$389$	0.179725	−	0.787427i	0.00911242	−	0.0399241i	0.979280	+	0.202512i	$0.0649106\pi$
$390$	−0.653487	−	2.86311i	−0.0330906	−	0.144979i
$391$	5.69941	+	2.74469i	0.288231	+	0.138805i
$392$	−14.7838	+	18.5383i	−0.746694	+	0.936325i
$393$	−14.1566			−0.714105
$394$	0.463560			0.0233538
$395$	15.6536	−	19.6290i	0.787620	−	0.987644i
$396$	4.82805	−	2.32507i	0.242619	−	0.116839i
$397$	−7.76949	−	9.74263i	−0.389940	−	0.488969i	0.547652	−	0.836706i	$-0.315522\pi$
$397$	−7.76949	−	9.74263i	−0.389940	−	0.488969i	−0.937592	+	0.347737i	$0.886950\pi$
$398$	−8.92428	+	4.29771i	−0.447334	+	0.215424i
$399$	2.77634	−	12.1639i	0.138991	−	0.608958i
$400$	7.22400	−	9.05861i	0.361200	−	0.452931i
$401$	3.16920	−	13.8852i	0.158262	−	0.693392i	−0.832070	−	0.554671i	$-0.812844\pi$
$401$	3.16920	−	13.8852i	0.158262	−	0.693392i	0.990332	−	0.138720i	$-0.0442989\pi$
$402$	−7.45822	−	3.59169i	−0.371982	−	0.179137i
$403$	−6.17951	−	7.74887i	−0.307824	−	0.385998i
$404$	16.2594	+	20.3887i	0.808938	+	1.01438i
$405$	−7.47256	−	32.7394i	−0.371315	−	1.62684i
$406$	17.9987	+	8.66774i	0.893263	+	0.430173i
$407$	20.5777	−	9.90971i	1.02000	−	0.491206i
$408$	−0.778358	−	3.41021i	−0.0385345	−	0.168830i
$409$	−0.223957	−	0.981220i	−0.0110740	−	0.0485182i	0.969089	−	0.246711i	$-0.0793499\pi$
$409$	−0.223957	−	0.981220i	−0.0110740	−	0.0485182i	−0.980163	+	0.198193i	$0.936493\pi$
$410$	4.95850	−	2.38789i	0.244883	−	0.117929i
$411$	6.39925	+	3.08171i	0.315652	+	0.152010i
$412$	7.11583	+	31.1765i	0.350572	+	1.53596i
$413$	−8.16663	−	10.2406i	−0.401854	−	0.503908i
$414$	−2.03072	−	2.54644i	−0.0998044	−	0.125151i
$415$	17.5326	+	8.44326i	0.860642	+	0.414464i
$416$	−1.10619	+	4.84653i	−0.0542354	+	0.237621i
$417$	−2.26573	+	2.84114i	−0.110953	+	0.139131i
$418$	−0.356816	+	1.56331i	−0.0174524	+	0.0764641i
$419$	−14.8511	+	7.15191i	−0.725524	+	0.349394i	−0.759922	−	0.650014i	$-0.774763\pi$
$419$	−14.8511	+	7.15191i	−0.725524	+	0.349394i	0.0343983	+	0.999408i	$0.489049\pi$
$420$	−31.3361	−	39.2942i	−1.52904	−	1.91736i
$421$	−27.0626	+	13.0326i	−1.31895	+	0.635172i	−0.955100	−	0.296285i	$-0.904252\pi$
$421$	−27.0626	+	13.0326i	−1.31895	+	0.635172i	−0.363850	+	0.931458i	$0.618538\pi$
$422$	−2.10471	+	2.63922i	−0.102456	+	0.128475i
$423$	6.44365			0.313301
$424$	−10.4851			−0.509204
$425$	2.57133	−	3.22434i	0.124728	−	0.156403i
$426$	13.1834	+	6.34878i	0.638737	+	0.307600i
$427$	−6.10983	−	26.7689i	−0.295675	−	1.29544i
$428$	−5.37815	+	23.5632i	−0.259963	+	1.13897i
$429$	−5.63872			−0.272240
$430$	0.629394	+	8.95621i	0.0303521	+	0.431907i
$431$	17.1975			0.828373			0.414186	−	0.910192i	$-0.364066\pi$
$431$	17.1975			0.828373			0.414186	+	0.910192i	$0.364066\pi$
$432$	−2.37000	+	10.3836i	−0.114027	+	0.499583i
$433$	−3.73750	−	16.3750i	−0.179613	−	0.786934i	−0.981809	−	0.189874i	$-0.939192\pi$
$433$	−3.73750	−	16.3750i	−0.179613	−	0.786934i	0.802196	−	0.597061i	$-0.203665\pi$
$434$	17.4969	+	8.42608i	0.839879	+	0.404465i
$435$	−37.0248	+	46.4276i	−1.77520	+	2.22603i
$436$	−27.3990			−1.31218
$437$	−8.51243			−0.407205
$438$	−4.20704	+	5.27547i	−0.201020	+	0.252072i
$439$	16.8986	−	8.13791i	0.806524	−	0.388401i	0.0152655	−	0.999883i	$-0.495141\pi$
$439$	16.8986	−	8.13791i	0.806524	−	0.388401i	0.791258	+	0.611482i	$0.209426\pi$
$440$	8.51574	+	10.6784i	0.405972	+	0.509073i
$441$	−14.1084	+	6.79424i	−0.671828	+	0.323535i
$442$	−0.106379	+	0.466079i	−0.00505995	+	0.0221691i
$443$	13.0866	−	16.4101i	0.621764	−	0.779667i	−0.366828	−	0.930289i	$-0.619556\pi$
$443$	13.0866	−	16.4101i	0.621764	−	0.779667i	0.988591	+	0.150622i	$0.0481276\pi$
$444$	7.05539	−	30.9117i	0.334834	−	1.46700i
$445$	−14.4938	−	6.97983i	−0.687070	−	0.330876i
$446$	−4.06261	−	5.09435i	−0.192370	−	0.241225i
$447$	21.7610	+	27.2874i	1.02926	+	1.29065i
$448$	3.53291	+	15.4787i	0.166914	+	0.731299i
$449$	−11.7524	−	5.65965i	−0.554629	−	0.267095i	0.135505	−	0.990777i	$-0.456734\pi$
$449$	−11.7524	−	5.65965i	−0.554629	−	0.267095i	−0.690134	+	0.723681i	$0.742449\pi$
$450$	−1.91310	+	0.921301i	−0.0901845	+	0.0434305i
$451$	−2.35140	−	10.3021i	−0.110723	−	0.485109i
$452$	−2.49989	−	10.9527i	−0.117585	−	0.515173i
$453$	37.7776	−	18.1927i	1.77495	−	0.854770i
$454$	4.91852	+	2.36863i	0.230837	+	0.111165i
$455$	3.23200	+	14.1603i	0.151518	+	0.663845i
$456$	2.93475	+	3.68006i	0.137432	+	0.172335i
$457$	5.48721	+	6.88075i	0.256681	+	0.321868i	0.893429	−	0.449204i	$-0.148292\pi$
$457$	5.48721	+	6.88075i	0.256681	+	0.321868i	−0.636748	+	0.771072i	$0.719721\pi$
$458$	−3.71506	−	1.78908i	−0.173593	−	0.0835980i
$459$	−0.843582	+	3.69597i	−0.0393750	+	0.172513i
$460$	−21.3795	+	26.8090i	−0.996822	+	1.24998i
$461$	1.62739	−	7.13007i	0.0757952	−	0.332081i	−0.922787	−	0.385310i	$-0.874094\pi$
$461$	1.62739	−	7.13007i	0.0757952	−	0.332081i	0.998582	+	0.0532297i	$0.0169516\pi$
$462$	9.95445	−	4.79381i	0.463123	−	0.223028i
$463$	−10.4269	−	13.0749i	−0.484580	−	0.607644i	0.478094	−	0.878309i	$-0.341328\pi$
$463$	−10.4269	−	13.0749i	−0.484580	−	0.607644i	−0.962674	+	0.270665i	$0.912756\pi$
$464$	24.4689	−	11.7836i	1.13594	−	0.547040i
$465$	−35.9925	+	45.1331i	−1.66911	+	2.09300i
$466$	3.42614			0.158713
$467$	−20.9837			−0.971010			−0.485505	−	0.874234i	$-0.661364\pi$
$467$	−20.9837			−0.971010			−0.485505	+	0.874234i	$0.661364\pi$
$468$	−1.34041	+	1.68083i	−0.0619607	+	0.0776962i
$469$	36.8866	+	17.7637i	1.70327	+	0.820250i
$470$	1.72833	+	7.57232i	0.0797221	+	0.349285i
$471$	0.789195	−	3.45769i	0.0363642	−	0.159322i
$472$	4.94145			0.227449
$473$	17.0342	+	2.64840i	0.783234	+	0.121773i
$474$	7.66197			0.351926
$475$	−1.23490	+	5.41046i	−0.0566612	+	0.248249i
$476$	1.82057	+	7.97643i	0.0834457	+	0.365599i
$477$	−6.23872	−	3.00441i	−0.285651	−	0.137562i
$478$	−2.59766	+	3.25736i	−0.118814	+	0.148988i
$479$	−9.71425			−0.443856			−0.221928	−	0.975063i	$-0.571235\pi$
$479$	−9.71425			−0.443856			−0.221928	+	0.975063i	$0.571235\pi$
$480$	28.9545			1.32159
$481$	−5.71300	+	7.16387i	−0.260490	+	0.326645i
$482$	−7.95197	+	3.82947i	−0.362202	+	0.174427i
$483$	36.5693	+	45.8565i	1.66396	+	2.08654i
$484$	−6.61099	+	3.18369i	−0.300500	+	0.144713i
$485$	−8.63969	+	37.8529i	−0.392308	+	1.71881i
$486$	3.17554	−	3.98200i	0.144045	−	0.180627i
$487$	6.22970	−	27.2941i	0.282295	−	1.23681i	−0.612548	−	0.790433i	$-0.709856\pi$
$487$	6.22970	−	27.2941i	0.282295	−	1.23681i	0.894843	−	0.446381i	$-0.147287\pi$
$488$	9.33272	+	4.49440i	0.422472	+	0.203452i
$489$	−6.38557	−	8.00725i	−0.288765	−	0.362100i
$490$	−11.7685	−	14.7572i	−0.531647	−	0.666665i
$491$	6.45611	+	28.2861i	0.291360	+	1.27653i	0.882634	+	0.470062i	$0.155768\pi$
$491$	6.45611	+	28.2861i	0.291360	+	1.27653i	−0.591273	+	0.806471i	$0.701375\pi$
$492$	−13.2168	−	6.36489i	−0.595861	−	0.286952i
$493$	8.70951	−	4.19428i	0.392256	−	0.188901i
$494$	−0.143150	−	0.627181i	−0.00644062	−	0.0282182i
$495$	2.00713	+	8.79380i	0.0902137	+	0.395252i
$496$	23.7867	−	11.4551i	1.06805	−	0.514347i
$497$	−65.2020	−	31.3996i	−2.92471	−	1.40847i
$498$	1.32149	+	5.78981i	0.0592172	+	0.259448i
$499$	13.0093	+	16.3131i	0.582376	+	0.730276i	0.982516	−	0.186178i	$-0.0596100\pi$
$499$	13.0093	+	16.3131i	0.582376	+	0.730276i	−0.400140	+	0.916454i	$0.631039\pi$
$500$	−2.96032	−	3.71212i	−0.132389	−	0.166011i
$501$	25.3518	+	12.2088i	1.13264	+	0.545448i
$502$	−1.93323	+	8.47001i	−0.0862841	+	0.378035i
$503$	11.3666	−	14.2532i	0.506810	−	0.635519i	−0.460940	−	0.887431i	$-0.652488\pi$
$503$	11.3666	−	14.2532i	0.506810	−	0.635519i	0.967750	+	0.251912i	$0.0810593\pi$
$504$	1.98205	−	8.68391i	0.0882874	−	0.386812i
$505$	−39.5483	+	19.0455i	−1.75988	+	0.847512i
$506$	−4.69990	−	5.89349i	−0.208936	−	0.261998i
$507$	−21.7816	+	10.4895i	−0.967355	+	0.465854i
$508$	2.68430	−	3.36600i	0.119096	−	0.149342i
$509$	−24.2242			−1.07372			−0.536860	−	0.843672i	$-0.680390\pi$
$509$	−24.2242			−1.07372			−0.536860	+	0.843672i	$0.680390\pi$
$510$	2.78448			0.123299
$511$	20.8071	−	26.0913i	0.920451	−	1.15421i
$512$	−20.6381	−	9.93876i	−0.912082	−	0.439235i
$513$	−1.13517	−	4.97351i	−0.0501190	−	0.219586i
$514$	2.25090	−	9.86183i	0.0992829	−	0.434987i
$515$	−53.8266			−2.37188
$516$	17.6184	−	16.1960i	0.775608	−	0.712990i
$517$	14.9132			0.655882
$518$	3.99515	−	17.5039i	0.175537	−	0.769076i
$519$	3.62959	+	15.9023i	0.159321	+	0.698033i
$520$	−4.93685	−	2.37746i	−0.216495	−	0.104259i
$521$	11.3757	−	14.2647i	0.498380	−	0.624949i	−0.467483	−	0.884002i	$-0.654839\pi$
$521$	11.3757	−	14.2647i	0.498380	−	0.624949i	0.965863	+	0.259053i	$0.0834105\pi$
$522$	−4.97719			−0.217846
$523$	13.4133			0.586522			0.293261	−	0.956032i	$-0.405259\pi$
$523$	13.4133			0.586522			0.293261	+	0.956032i	$0.405259\pi$
$524$	−7.78854	+	9.76652i	−0.340244	+	0.426653i
$525$	34.4513	−	16.5909i	1.50358	−	0.724085i
$526$	−1.92583	−	2.41491i	−0.0839702	−	0.105295i
$527$	8.46668	−	4.07734i	0.368814	−	0.177612i
$528$	3.34234	−	14.6437i	0.145457	−	0.637287i
$529$	10.6096	−	13.3041i	0.461289	−	0.578438i
$530$	1.85730	−	8.13735i	0.0806758	−	0.353464i
$531$	2.94019	+	1.41592i	0.127593	+	0.0614457i
$532$	−6.86435	−	8.60762i	−0.297607	−	0.373188i
$533$	2.64321	+	3.31448i	0.114490	+	0.143566i
$534$	−1.09244	−	4.78629i	−0.0472744	−	0.207123i
$535$	−36.6533	−	17.6513i	−1.58466	−	0.763133i
$536$	−13.9158	+	6.70152i	−0.601073	+	0.289461i
$537$	−10.2723	−	45.0060i	−0.443284	−	1.94215i
$538$	0.419409	+	1.83755i	0.0180820	+	0.0792225i
$539$	−32.6525	+	15.7246i	−1.40644	+	0.677307i
$540$	−18.5146	−	8.91615i	−0.796741	−	0.383690i
$541$	−6.43716	−	28.2031i	−0.276755	−	1.21254i	−0.901869	−	0.432010i	$-0.857804\pi$
$541$	−6.43716	−	28.2031i	−0.276755	−	1.21254i	0.625113	−	0.780534i	$-0.285053\pi$
$542$	−0.778942	−	0.976763i	−0.0334584	−	0.0419556i
$543$	−4.47128	−	5.60681i	−0.191881	−	0.240611i
$544$	−4.24665	−	2.04508i	−0.182074	−	0.0876821i
$545$	10.2624	−	44.9624i	0.439592	−	1.92598i
$546$	−2.76366	+	3.46551i	−0.118274	+	0.148310i
$547$	−2.63309	+	11.5363i	−0.112583	+	0.493258i	0.886926	+	0.461912i	$0.152837\pi$
$547$	−2.63309	+	11.5363i	−0.112583	+	0.493258i	−0.999509	+	0.0313460i	$0.990021\pi$
$548$	5.64673	−	2.71932i	0.241217	−	0.116164i
$549$	4.26520	+	5.34839i	0.182034	+	0.228264i
$550$	−4.42769	+	2.13226i	−0.188797	+	0.0909200i
$551$	−8.11048	+	10.1702i	−0.345518	+	0.433266i
$552$	−22.1273			−0.941800
$553$	−37.8944			−1.61143
$554$	3.82924	−	4.80172i	0.162689	−	0.204005i
$555$	48.0842	+	23.1561i	2.04106	+	0.982922i
$556$	0.713540	+	3.12622i	0.0302608	+	0.132581i
$557$	4.97805	−	21.8103i	0.210927	−	0.924131i	−0.753012	−	0.658007i	$-0.771400\pi$
$557$	4.97805	−	21.8103i	0.210927	−	0.924131i	0.963939	−	0.266124i	$-0.0857431\pi$
$558$	−4.83842			−0.204827
$559$	−6.61814	+	2.00784i	−0.279918	+	0.0849226i
$560$	−38.6900			−1.63495
$561$	1.18968	−	5.21232i	0.0502283	−	0.220064i
$562$	−0.896744	−	3.92889i	−0.0378269	−	0.165730i
$563$	5.60281	+	2.69817i	0.236130	+	0.113714i	0.548207	−	0.836342i	$-0.315310\pi$
$563$	5.60281	+	2.69817i	0.236130	+	0.113714i	−0.312077	+	0.950057i	$0.601025\pi$
$564$	12.9081	−	16.1863i	0.543530	−	0.681565i
$565$	18.9100			0.795550
$566$	−10.7697			−0.452686
$567$	−31.6022	+	39.6279i	−1.32717	+	1.66421i
$568$	24.5981	−	11.8458i	1.03211	−	0.497040i
$569$	−7.38522	−	9.26078i	−0.309605	−	0.388232i	0.602548	−	0.798083i	$-0.294152\pi$
$569$	−7.38522	−	9.26078i	−0.309605	−	0.388232i	−0.912153	+	0.409851i	$0.865581\pi$
$570$	−3.37588	+	1.62574i	−0.141400	+	0.0680948i
$571$	−6.83563	+	29.9488i	−0.286062	+	1.25332i	0.603817	+	0.797123i	$0.293646\pi$
$571$	−6.83563	+	29.9488i	−0.286062	+	1.25332i	−0.889879	+	0.456197i	$0.849211\pi$
$572$	−3.10226	+	3.89011i	−0.129712	+	0.162654i
$573$	−3.36933	+	14.7620i	−0.140756	+	0.616692i
$574$	−7.48409	−	3.60415i	−0.312380	−	0.150434i
$575$	−16.2659	−	20.3967i	−0.678333	−	0.850603i
$576$	−2.46628	−	3.09262i	−0.102762	−	0.128859i
$577$	−0.0853944	−	0.374138i	−0.00355502	−	0.0155755i	0.973119	−	0.230302i	$-0.0739713\pi$
$577$	−0.0853944	−	0.374138i	−0.00355502	−	0.0155755i	−0.976674	+	0.214726i	$0.931114\pi$
$578$	−0.408390	−	0.196670i	−0.0169868	−	0.00818040i
$579$	8.10295	−	3.90218i	0.336747	−	0.162169i
$580$	11.6601	+	51.0862i	0.484159	+	2.12124i
$581$	−6.53577	−	28.6351i	−0.271149	−	1.18798i
$582$	−10.6756	+	5.14109i	−0.442517	+	0.213105i
$583$	−14.4389	−	6.95342i	−0.597999	−	0.287981i
$584$	2.80152	+	12.2742i	0.115928	+	0.507912i
$585$	−2.25622	−	2.82921i	−0.0932831	−	0.116973i
$586$	−1.13911	−	1.42840i	−0.0470564	−	0.0590068i
$587$	41.0807	+	19.7834i	1.69558	+	0.816549i	0.994648	+	0.103321i	$0.0329470\pi$
$587$	41.0807	+	19.7834i	1.69558	+	0.816549i	0.700933	+	0.713227i	$0.252767\pi$
$588$	−11.1954	+	49.0503i	−0.461691	+	2.02280i
$589$	−7.88436	+	9.88667i	−0.324869	+	0.407373i
$590$	−0.875308	+	3.83497i	−0.0360358	+	0.157883i
$591$	1.87385	−	0.902399i	0.0770799	−	0.0371197i
$592$	−15.2182	−	19.0830i	−0.625464	−	0.784307i
$593$	−16.3844	+	7.89032i	−0.672828	+	0.324017i	−0.738916	−	0.673797i	$-0.764662\pi$
$593$	−16.3844	+	7.89032i	−0.672828	+	0.324017i	0.0660888	+	0.997814i	$0.478948\pi$
$594$	2.81660	−	3.53191i	0.115567	−	0.144916i
$595$	−13.7714			−0.564573
$596$	30.7977			1.26152
$597$	−27.7084	+	34.7453i	−1.13403	+	1.42203i
$598$	2.72469	+	1.31214i	0.111421	+	0.0536574i
$599$	7.51779	+	32.9376i	0.307169	+	1.34579i	0.859059	+	0.511877i	$0.171050\pi$
$599$	7.51779	+	32.9376i	0.307169	+	1.34579i	−0.551890	+	0.833917i	$0.686093\pi$
$600$	−3.21002	+	14.0640i	−0.131048	+	0.574160i
$601$	3.78318			0.154319			0.0771595	−	0.997019i	$-0.475415\pi$
$601$	3.78318			0.154319			0.0771595	+	0.997019i	$0.475415\pi$
$602$	9.97652	−	9.17107i	0.406612	−	0.373785i
$603$	−10.2003			−0.415386
$604$	8.23311	−	36.0716i	0.335001	−	1.46773i
$605$	−2.74833	−	12.0412i	−0.111736	−	0.489546i
$606$	−12.0693	−	5.81228i	−0.490283	−	0.236108i
$607$	19.2675	−	24.1607i	0.782044	−	0.980653i	−0.217945	−	0.975961i	$-0.569935\pi$
$607$	19.2675	−	24.1607i	0.782044	−	0.980653i	0.999989	−	0.00469143i	$-0.00149333\pi$
$608$	6.34265			0.257228
$609$	89.6296			3.63198
$610$	−5.14119	+	6.44685i	−0.208161	+	0.261025i
$611$	−5.39049	+	2.59592i	−0.218076	+	0.105020i
$612$	−1.27092	−	1.59368i	−0.0513738	−	0.0644207i
$613$	17.1133	−	8.24134i	0.691200	−	0.332865i	−0.0550934	−	0.998481i	$-0.517546\pi$
$613$	17.1133	−	8.24134i	0.691200	−	0.332865i	0.746294	+	0.665617i	$0.231831\pi$
$614$	−0.607629	+	2.66220i	−0.0245219	+	0.107438i
$615$	15.3953	−	19.3051i	0.620800	−	0.778458i
$616$	4.58725	−	20.0981i	0.184826	−	0.809775i
$617$	−11.2982	−	5.44091i	−0.454847	−	0.219043i	0.192410	−	0.981315i	$-0.438370\pi$
$617$	−11.2982	−	5.44091i	−0.454847	−	0.219043i	−0.647257	+	0.762272i	$0.724084\pi$
$618$	−10.2419	−	12.8429i	−0.411990	−	0.516619i
$619$	−12.7818	−	16.0279i	−0.513745	−	0.644216i	0.455523	−	0.890224i	$-0.349452\pi$
$619$	−12.7818	−	16.0279i	−0.513745	−	0.644216i	−0.969268	+	0.246008i	$0.920881\pi$
$620$	11.3350	+	49.6619i	0.455225	+	1.99447i
$621$	21.6066	+	10.4052i	0.867042	+	0.417546i
$622$	4.34975	−	2.09473i	0.174409	−	0.0839910i
$623$	5.40295	+	23.6719i	0.216465	+	0.948394i
$624$	1.34090	+	5.87488i	0.0536791	+	0.235183i
$625$	25.7788	−	12.4144i	1.03115	−	0.496577i
$626$	3.22577	+	1.55345i	0.128928	+	0.0620883i
$627$	1.60090	+	7.01398i	0.0639336	+	0.280112i
$628$	−1.95124	−	2.44678i	−0.0778631	−	0.0976372i
$629$	−5.41680	−	6.79245i	−0.215982	−	0.270833i
$630$	6.38835	+	3.07647i	0.254518	+	0.122569i
$631$	6.34332	−	27.7919i	0.252523	−	1.10638i	−0.676525	−	0.736420i	$-0.736515\pi$
$631$	6.34332	−	27.7919i	0.252523	−	1.10638i	0.929048	−	0.369958i	$-0.120628\pi$
$632$	8.91342	−	11.1771i	0.354557	−	0.444600i
$633$	−3.37018	+	14.7657i	−0.133952	+	0.586884i
$634$	6.72377	−	3.23800i	0.267035	−	0.128597i
$635$	4.51827	+	5.66573i	0.179302	+	0.224838i
$636$	−20.0446	+	9.65297i	−0.794820	+	0.382765i
$637$	9.06532	−	11.3676i	0.359181	−	0.450399i
$638$	−11.5192			−0.456050
$639$	18.0303			0.713268
$640$	20.7266	−	25.9903i	0.819291	−	1.02736i
$641$	−23.1560	−	11.1513i	−0.914605	−	0.440451i	−0.0834631	−	0.996511i	$-0.526598\pi$
$641$	−23.1560	−	11.1513i	−0.914605	−	0.440451i	−0.831142	+	0.556060i	$0.812312\pi$
$642$	−2.76267	−	12.1041i	−0.109034	−	0.477709i
$643$	5.31329	−	23.2791i	0.209536	−	0.918036i	−0.755341	−	0.655332i	$-0.772529\pi$
$643$	5.31329	−	23.2791i	0.209536	−	0.918036i	0.964876	−	0.262704i	$-0.0846143\pi$
$644$	51.7555			2.03945
$645$	19.9790	+	34.9785i	0.786672	+	1.37728i
$646$	0.609956			0.0239984
$647$	1.07392	−	4.70515i	0.0422202	−	0.184979i	−0.949421	−	0.314007i	$-0.898329\pi$
$647$	1.07392	−	4.70515i	0.0422202	−	0.184979i	0.991641	+	0.129028i	$0.0411857\pi$
$648$	−4.25500	−	18.6424i	−0.167152	−	0.732341i
$649$	6.80478	+	3.27701i	0.267111	+	0.128634i
$650$	1.22926	−	1.54144i	0.0482156	−	0.0604604i
$651$	87.1307			3.41492
$652$	−9.03730			−0.353928
$653$	−18.6773	+	23.4206i	−0.730900	+	0.916519i	−0.998900	−	0.0468997i	$-0.985066\pi$
$653$	−18.6773	+	23.4206i	−0.730900	+	0.916519i	0.268000	+	0.963419i	$0.413637\pi$
$654$	12.6807	−	6.10668i	0.495853	−	0.238790i
$655$	−13.1099	−	16.4392i	−0.512245	−	0.642334i
$656$	−10.1745	+	4.89976i	−0.397246	+	0.191303i
$657$	−1.85014	+	8.10599i	−0.0721808	+	0.316245i
$658$	7.30928	−	9.16555i	0.284945	−	0.357310i
$659$	2.26882	−	9.94037i	0.0883809	−	0.387222i	−0.911320	−	0.411700i	$-0.864935\pi$
$659$	2.26882	−	9.94037i	0.0883809	−	0.387222i	0.999700	+	0.0244780i	$0.00779237\pi$
$660$	26.1105	+	12.5742i	1.01635	+	0.489449i
$661$	9.84159	+	12.3410i	0.382793	+	0.480008i	0.935479	−	0.353382i	$-0.114968\pi$
$661$	9.84159	+	12.3410i	0.382793	+	0.480008i	−0.552686	+	0.833390i	$0.686397\pi$
$662$	2.93277	+	3.67758i	0.113985	+	0.142933i
$663$	0.477284	+	2.09112i	0.0185362	+	0.0812123i
$664$	9.98335	+	4.80773i	0.387429	+	0.186576i
$665$	16.6964	−	8.04054i	0.647457	−	0.311799i
$666$	0.995370	+	4.36100i	0.0385698	+	0.168985i
$667$	−13.6074	−	59.6178i	−0.526880	−	2.30841i
$668$	22.3706	−	10.7731i	0.865544	−	0.416824i
$669$	−26.3393	−	12.6844i	−1.01834	−	0.490406i
$670$	−2.73594	−	11.9869i	−0.105699	−	0.463096i
$671$	9.87138	+	12.3783i	0.381081	+	0.477860i
$672$	−27.2480	−	34.1679i	−1.05111	−	1.31805i
$673$	7.92222	+	3.81514i	0.305379	+	0.147063i	0.580297	−	0.814405i	$-0.302936\pi$
$673$	7.92222	+	3.81514i	0.305379	+	0.147063i	−0.274918	+	0.961468i	$0.588651\pi$
$674$	3.27930	−	14.3676i	0.126314	−	0.553418i
$675$	9.74796	−	12.2236i	0.375199	−	0.470485i
$676$	−4.74700	+	20.7980i	−0.182577	+	0.799922i
$677$	5.37035	−	2.58622i	0.206399	−	0.0993966i	−0.327828	−	0.944737i	$-0.606317\pi$
$677$	5.37035	−	2.58622i	0.206399	−	0.0993966i	0.534228	+	0.845341i	$0.320603\pi$
$678$	3.59812	+	4.51190i	0.138185	+	0.173278i
$679$	52.7990	−	25.4267i	2.02624	−	0.975786i
$680$	3.23928	−	4.06193i	0.124221	−	0.155768i
$681$	24.4931			0.938577
$682$	−11.1981			−0.428796
$683$	−14.9077	+	18.6936i	−0.570427	+	0.715292i	−0.980447	−	0.196784i	$-0.936950\pi$
$683$	−14.9077	+	18.6936i	−0.570427	+	0.715292i	0.410020	+	0.912076i	$0.365522\pi$
$684$	2.47133	+	1.19013i	0.0944938	+	0.0455058i
$685$	2.34747	+	10.2849i	0.0896923	+	0.392968i
$686$	−3.12048	+	13.6717i	−0.119141	+	0.521989i
$687$	−18.5001			−0.705824
$688$	−1.29147	−	18.3774i	−0.0492367	−	0.700634i
$689$	6.42942			0.244942
$690$	3.91954	−	17.1726i	0.149214	−	0.653750i
$691$	8.55490	+	37.4815i	0.325444	+	1.42586i	0.827713	+	0.561151i	$0.189641\pi$
$691$	8.55490	+	37.4815i	0.325444	+	1.42586i	−0.502270	+	0.864711i	$0.667502\pi$
$692$	12.9678	+	6.24495i	0.492960	+	0.237397i
$693$	8.48833	−	10.6440i	0.322445	−	0.404333i
$694$	10.9898			0.417165
$695$	−5.39746			−0.204737
$696$	−21.0825	+	26.4366i	−0.799129	+	1.00208i
$697$	−3.62152	+	1.74403i	−0.137175	+	0.0660599i
$698$	−5.12333	−	6.42445i	−0.193921	−	0.243169i
$699$	13.8495	−	6.66956i	0.523836	−	0.252266i
$700$	7.50818	−	32.8955i	0.283783	−	1.24333i
$701$	6.27092	−	7.86348i	0.236849	−	0.297000i	−0.649174	−	0.760640i	$-0.724885\pi$
$701$	6.27092	−	7.86348i	0.236849	−	0.297000i	0.886024	+	0.463640i	$0.153457\pi$
$702$	−0.403287	+	1.76692i	−0.0152211	+	0.0666879i
$703$	10.5331	+	5.07248i	0.397264	+	0.191312i
$704$	−5.70797	−	7.15757i	−0.215127	−	0.269761i
$705$	21.7273	+	27.2451i	0.818296	+	1.02611i
$706$	−2.01127	−	8.81197i	−0.0756953	−	0.331643i
$707$	59.6921	+	28.7462i	2.24495	+	1.08111i
$708$	9.44663	−	4.54926i	0.355026	−	0.170972i
$709$	−3.24207	−	14.2044i	−0.121758	−	0.533458i	−0.998610	−	0.0526980i	$-0.983218\pi$
$709$	−3.24207	−	14.2044i	−0.121758	−	0.533458i	0.876852	−	0.480760i	$-0.159639\pi$
$710$	4.83613	+	21.1885i	0.181497	+	0.795190i
$711$	8.50621	−	4.09637i	0.319008	−	0.153626i
$712$	−8.25298	−	3.97442i	−0.309293	−	0.148948i
$713$	−13.2280	−	57.9556i	−0.495392	−	2.17046i
$714$	−2.62037	−	3.28584i	−0.0980648	−	0.122969i
$715$	−5.22180	−	6.54793i	−0.195284	−	0.244879i
$716$	−36.7009	−	17.6742i	−1.37158	−	0.660516i
$717$	−4.15952	+	18.2240i	−0.155340	+	0.680590i
$718$	−7.01742	+	8.79957i	−0.261888	+	0.328397i
$719$	7.57086	−	33.1701i	0.282346	−	1.23704i	−0.612432	−	0.790524i	$-0.709808\pi$
$719$	7.57086	−	33.1701i	0.282346	−	1.23704i	0.894777	−	0.446513i	$-0.147334\pi$
$720$	8.68481	−	4.18239i	0.323664	−	0.155868i
$721$	50.6541	+	63.5183i	1.88646	+	2.36554i
$722$	7.01990	−	3.38061i	0.261254	−	0.125813i
$723$	−24.6896	+	30.9597i	−0.918215	+	1.15141i
$724$	−6.32806			−0.235181
$725$	−39.8668			−1.48062
$726$	2.35008	−	2.94691i	0.0872197	−	0.109370i
$727$	−23.8171	−	11.4697i	−0.883326	−	0.425387i	−0.0634875	−	0.997983i	$-0.520222\pi$
$727$	−23.8171	−	11.4697i	−0.883326	−	0.425387i	−0.819838	+	0.572595i	$0.805937\pi$
$728$	1.84035	+	8.06309i	0.0682079	+	0.298838i
$729$	−2.33672	+	10.2379i	−0.0865453	+	0.379180i
$730$	−10.0221			−0.370934
$731$	−0.459688	−	6.54131i	−0.0170022	−	0.241939i
$732$	21.9792			0.812374
$733$	4.12508	−	18.0731i	0.152363	−	0.667547i	−0.839831	−	0.542847i	$-0.817346\pi$
$733$	4.12508	−	18.0731i	0.152363	−	0.667547i	0.992195	−	0.124699i	$-0.0397966\pi$
$734$	−2.26584	−	9.92727i	−0.0836335	−	0.366422i
$735$	−76.2994	−	36.7439i	−2.81435	−	1.35532i
$736$	−18.5903	+	23.3115i	−0.685247	+	0.859273i
$737$	−23.6075			−0.869593
$738$	2.06957			0.0761821
$739$	13.7530	−	17.2457i	0.505911	−	0.634392i	−0.461640	−	0.887067i	$-0.652739\pi$
$739$	13.7530	−	17.2457i	0.505911	−	0.634392i	0.967551	+	0.252675i	$0.0813103\pi$
$740$	42.4297	−	20.4331i	1.55975	−	0.751135i
$741$	−1.79957	−	2.25659i	−0.0661089	−	0.0828979i
$742$	−11.3503	+	5.46604i	−0.416684	+	0.200664i
$743$	−8.25424	+	36.1642i	−0.302819	+	1.32674i	0.563033	+	0.826435i	$0.309635\pi$
$743$	−8.25424	+	36.1642i	−0.302819	+	1.32674i	−0.865851	+	0.500301i	$0.833223\pi$
$744$	−20.4947	+	25.6995i	−0.751371	+	0.942190i
$745$	−11.5353	+	50.5396i	−0.422622	+	1.85163i
$746$	3.90327	+	1.87972i	0.142909	+	0.0688213i
$747$	4.56254	+	5.72125i	0.166935	+	0.209330i
$748$	−2.94142	−	3.68842i	−0.107549	−	0.134862i
$749$	13.6635	+	59.8639i	0.499255	+	2.18738i
$750$	2.19743	+	1.05823i	0.0802388	+	0.0386410i
$751$	15.3727	−	7.40311i	0.560958	−	0.270143i	−0.131845	−	0.991270i	$-0.542090\pi$
$751$	15.3727	−	7.40311i	0.560958	−	0.270143i	0.692803	+	0.721127i	$0.256376\pi$
$752$	−3.54640	−	15.5378i	−0.129324	−	0.566606i
$753$	8.67365	+	38.0017i	0.316085	+	1.38486i
$754$	4.16371	−	2.00514i	0.151633	−	0.0730228i
$755$	56.1106	+	27.0214i	2.04207	+	0.983411i
$756$	6.90182	+	30.2389i	0.251017	+	1.09978i
$757$	−19.8731	−	24.9201i	−0.722301	−	0.905736i	0.276165	−	0.961110i	$-0.410936\pi$
$757$	−19.8731	−	24.9201i	−0.722301	−	0.905736i	−0.998466	+	0.0553739i	$0.982365\pi$
$758$	−6.96783	−	8.73739i	−0.253083	−	0.317356i
$759$	−30.4711	−	14.6741i	−1.10603	−	0.532637i
$760$	−1.55569	+	6.81593i	−0.0564308	+	0.247240i
$761$	4.82887	−	6.05521i	0.175046	−	0.219501i	−0.686567	−	0.727067i	$-0.740883\pi$
$761$	4.82887	−	6.05521i	0.175046	−	0.219501i	0.861613	+	0.507566i	$0.169454\pi$
$762$	−0.492117	+	2.15611i	−0.0178275	+	0.0781075i
$763$	−62.7156	+	30.2022i	−2.27046	+	1.09339i
$764$	8.33049	+	10.4461i	0.301387	+	0.377927i
$765$	3.09129	−	1.48869i	0.111766	−	0.0538236i
$766$	−0.0485808	+	0.0609184i	−0.00175529	+	0.00220107i
$767$	−3.03006			−0.109409
$768$	−4.01919			−0.145030
$769$	−2.63755	+	3.30738i	−0.0951124	+	0.119267i	−0.827110	−	0.562040i	$-0.810017\pi$
$769$	−2.63755	+	3.30738i	−0.0951124	+	0.119267i	0.731998	+	0.681307i	$0.238588\pi$
$770$	14.7852	+	7.12018i	0.532822	+	0.256594i
$771$	−10.0989	−	44.2463i	−0.363704	−	1.59349i
$772$	1.76593	−	7.73703i	0.0635571	−	0.278462i
$773$	43.6112			1.56859			0.784294	−	0.620390i	$-0.213026\pi$
$773$	43.6112			1.56859			0.784294	+	0.620390i	$0.213026\pi$
$774$	−1.24805	+	3.13711i	−0.0448604	+	0.112761i
$775$	−38.7553			−1.39213
$776$	−4.91957	+	21.5541i	−0.176602	+	0.773746i
$777$	−17.9247	−	78.5332i	−0.643045	−	2.81736i
$778$	0.329847	+	0.158846i	0.0118256	+	0.00569490i
$779$	3.37244	−	4.22890i	0.120830	−	0.151516i
$780$	−11.6266			−0.416300
$781$	41.7294			1.49319
$782$	−1.78778	+	2.24181i	−0.0639309	+	0.0801668i
$783$	33.0179	−	15.9006i	1.17997	−	0.568241i
$784$	24.1481	+	30.2807i	0.862431	+	1.08145i
$785$	4.74607	−	2.28558i	0.169394	−	0.0815760i
$786$	1.42789	−	6.25599i	0.0509311	−	0.223144i
$787$	20.9118	−	26.2225i	0.745424	−	0.934733i	−0.254049	−	0.967191i	$-0.581762\pi$
$787$	20.9118	−	26.2225i	0.745424	−	0.934733i	0.999473	+	0.0324588i	$0.0103338\pi$
$788$	0.408380	−	1.78923i	0.0145479	−	0.0637387i
$789$	−12.4858	−	6.01286i	−0.444508	−	0.214064i
$790$	7.09545	+	8.89742i	0.252445	+	0.316556i
$791$	−17.7955	−	22.3148i	−0.632734	−	0.793424i
$792$	1.14289	+	5.00733i	0.0406108	+	0.177928i
$793$	−5.72276	−	2.75594i	−0.203221	−	0.0978662i
$794$	5.08907	−	2.45077i	0.180604	−	0.0869744i
$795$	−8.33298	−	36.5092i	−0.295540	−	1.29485i
$796$	8.72613	+	38.2317i	0.309290	+	1.35509i
$797$	17.2701	−	8.31682i	0.611737	−	0.294597i	−0.102247	−	0.994759i	$-0.532603\pi$
$797$	17.2701	−	8.31682i	0.611737	−	0.294597i	0.713984	+	0.700162i	$0.246889\pi$
$798$	5.09538	+	2.45380i	0.180374	+	0.0868638i
$799$	−1.26231	−	5.53056i	−0.0446575	−	0.195657i
$800$	12.1198	+	15.1977i	0.428498	+	0.537320i
$801$	−3.77174	−	4.72961i	−0.133268	−	0.167112i
$802$	5.81638	+	2.80102i	0.205384	+	0.0989076i
$803$	−4.28197	+	18.7605i	−0.151107	+	0.662045i
$804$	−20.4335	+	25.6228i	−0.720633	+	0.903645i
$805$	−19.3851	+	84.9318i	−0.683236	+	2.99345i
$806$	4.04762	−	1.94923i	0.142571	−	0.0686588i
$807$	5.27249	+	6.61150i	0.185601	+	0.232736i
$808$	−22.5194	+	10.8448i	−0.792231	+	0.381518i
$809$	−5.18206	+	6.49809i	−0.182191	+	0.228461i	−0.864537	−	0.502569i	$-0.832388\pi$
$809$	−5.18206	+	6.49809i	−0.182191	+	0.228461i	0.682346	+	0.731029i	$0.260960\pi$
$810$	15.2217			0.534837
$811$	−41.7583			−1.46633			−0.733165	−	0.680050i	$-0.761958\pi$
$811$	−41.7583			−1.46633			−0.733165	+	0.680050i	$0.761958\pi$
$812$	49.3116	−	61.8348i	1.73050	−	2.16998i
$813$	−5.05016	−	2.43203i	−0.177117	−	0.0852949i
$814$	2.30369	+	10.0931i	0.0807442	+	0.353763i
$815$	3.38494	−	14.8304i	0.118569	−	0.519486i
$816$	−5.71354			−0.200014
$817$	4.37651	+	7.66224i	0.153115	+	0.268068i
$818$	0.456204			0.0159508
$819$	−1.21538	+	5.32492i	−0.0424687	+	0.186068i
$820$	−4.84841	−	21.2423i	−0.169314	−	0.741812i
$821$	−28.2820	−	13.6199i	−0.987047	−	0.475337i	−0.130524	−	0.991445i	$-0.541666\pi$
$821$	−28.2820	−	13.6199i	−0.987047	−	0.475337i	−0.856523	+	0.516108i	$0.827380\pi$
$822$	−2.00731	+	2.51708i	−0.0700128	+	0.0877933i
$823$	1.79277			0.0624919			0.0312460	−	0.999512i	$-0.490052\pi$
$823$	1.79277			0.0624919			0.0312460	+	0.999512i	$0.490052\pi$
$824$	−30.6497			−1.06773
$825$	−13.7472	+	17.2385i	−0.478618	+	0.600168i
$826$	5.34920	−	2.57604i	0.186122	−	0.0896318i
$827$	−23.9791	−	30.0688i	−0.833834	−	1.04559i	−0.998246	−	0.0592026i	$-0.981144\pi$
$827$	−23.9791	−	30.0688i	−0.833834	−	1.04559i	0.164412	−	0.986392i	$-0.447427\pi$
$828$	−11.6176	+	5.59476i	−0.403741	+	0.194431i
$829$	−10.7772	+	47.2178i	−0.374306	+	1.63994i	0.340228	+	0.940343i	$0.389496\pi$
$829$	−10.7772	+	47.2178i	−0.374306	+	1.63994i	−0.714535	+	0.699600i	$0.753362\pi$
$830$	−5.49961	+	6.89629i	−0.190894	+	0.239374i
$831$	6.13160	−	26.8643i	0.212703	−	0.931911i
$832$	3.30910	+	1.59358i	0.114722	+	0.0552474i
$833$	8.59531	+	10.7782i	0.297810	+	0.373442i
$834$	−1.02701	−	1.28783i	−0.0355623	−	0.0445938i
$835$	9.29994	+	40.7457i	0.321838	+	1.41006i
$836$	5.71966	+	2.75445i	0.197819	+	0.0952645i
$837$	32.0974	−	15.4573i	1.10945	−	0.534282i
$838$	−1.66259	−	7.28428i	−0.0574332	−	0.251631i
$839$	−2.13754	−	9.36516i	−0.0737959	−	0.323321i	0.924533	−	0.381101i	$-0.124455\pi$
$839$	−2.13754	−	9.36516i	−0.0737959	−	0.323321i	−0.998329	+	0.0577799i	$0.981598\pi$
$840$	43.4007	−	20.9007i	1.49747	−	0.721141i
$841$	−58.0651	−	27.9627i	−2.00225	−	0.964231i
$842$	−3.02967	−	13.2739i	−0.104409	−	0.457447i
$843$	−11.2732	−	14.1361i	−0.388269	−	0.486874i
$844$	8.33258	+	10.4487i	0.286819	+	0.359660i
$845$	−32.3519	−	15.5799i	−1.11294	−	0.535964i
$846$	−0.649932	+	2.84754i	−0.0223451	+	0.0979004i
$847$	−11.6230	+	14.5747i	−0.399370	+	0.500794i
$848$	−3.81103	+	16.6972i	−0.130871	+	0.573384i
$849$	−43.5346	+	20.9651i	−1.49410	+	0.719522i
$850$	1.16553	+	1.46152i	0.0399772	+	0.0501299i
$851$	−49.5157	+	23.8455i	−1.69738	+	0.817413i
$852$	36.1189	−	45.2916i	1.23741	−	1.55167i
$853$	4.90180			0.167834			0.0839172	−	0.996473i	$-0.473257\pi$
$853$	4.90180			0.167834			0.0839172	+	0.996473i	$0.473257\pi$
$854$	12.4458			0.425887
$855$	−2.87868	+	3.60975i	−0.0984487	+	0.123451i
$856$	−20.8710	−	10.0509i	−0.713356	−	0.343534i
$857$	−8.12849	−	35.6132i	−0.277664	−	1.21653i	−0.900738	−	0.434363i	$-0.856974\pi$
$857$	−8.12849	−	35.6132i	−0.277664	−	1.21653i	0.623074	−	0.782163i	$-0.285883\pi$
$858$	0.568743	−	2.49183i	0.0194166	−	0.0850696i
$859$	25.9593			0.885719			0.442859	−	0.896591i	$-0.353964\pi$
$859$	25.9593			0.885719			0.442859	+	0.896591i	$0.353964\pi$
$860$	35.1233	+	5.46080i	1.19769	+	0.186212i
$861$	−37.2691			−1.27013
$862$	−1.73460	+	7.59980i	−0.0590809	+	0.258850i
$863$	−0.0975905	−	0.427572i	−0.00332202	−	0.0145547i	0.973240	−	0.229792i	$-0.0738046\pi$
$863$	−0.0975905	−	0.427572i	−0.00332202	−	0.0145547i	−0.976562	+	0.215237i	$0.930947\pi$
$864$	−16.0992	−	7.75294i	−0.547704	−	0.263761i
$865$	−15.1052	+	18.9413i	−0.513592	+	0.644024i
$866$	7.61334			0.258712
$867$	−2.03369			−0.0690677
$868$	47.9368	−	60.1108i	1.62708	−	2.04029i
$869$	19.6868	−	9.48066i	0.667829	−	0.321609i
$870$	−16.7825	−	21.0446i	−0.568981	−	0.713479i
$871$	8.53310	−	4.10933i	0.289133	−	0.139239i
$872$	5.84356	−	25.6023i	0.197888	−	0.867003i
$873$	−9.10326	+	11.4151i	−0.308099	+	0.386344i
$874$	0.858597	−	3.76176i	0.0290425	−	0.127243i
$875$	−10.8680	−	5.23375i	−0.367405	−	0.176933i
$876$	16.6558	+	20.8857i	0.562746	+	0.705662i
$877$	16.7800	+	21.0415i	0.566621	+	0.710520i	0.979766	−	0.200145i	$-0.0641413\pi$
$877$	16.7800	+	21.0415i	0.566621	+	0.710520i	−0.413145	+	0.910665i	$0.635570\pi$
$878$	1.89180	+	8.28853i	0.0638452	+	0.279724i
$879$	−7.38528	−	3.55656i	−0.249099	−	0.119960i
$880$	20.1002	−	9.67973i	0.677576	−	0.326303i
$881$	1.16501	+	5.10424i	0.0392502	+	0.171966i	0.990754	−	0.135671i	$-0.0433189\pi$
$881$	1.16501	+	5.10424i	0.0392502	+	0.171966i	−0.951504	+	0.307637i	$0.900462\pi$
$882$	−1.57944	−	6.91999i	−0.0531826	−	0.233008i
$883$	−28.4536	+	13.7026i	−0.957541	+	0.461128i	−0.846324	−	0.532669i	$-0.821189\pi$
$883$	−28.4536	+	13.7026i	−0.957541	+	0.461128i	−0.111217	+	0.993796i	$0.535475\pi$
$884$	1.70523	+	0.821198i	0.0573533	+	0.0276199i
$885$	3.92717	+	17.2061i	0.132010	+	0.578376i
$886$	5.93188	+	7.43834i	0.199285	+	0.249896i
$887$	27.1870	+	34.0914i	0.912849	+	1.14468i	0.989049	+	0.147584i	$0.0471498\pi$
$887$	27.1870	+	34.0914i	0.912849	+	1.14468i	−0.0762002	+	0.997093i	$0.524279\pi$
$888$	27.3799	+	13.1855i	0.918808	+	0.442475i
$889$	2.43390	−	10.6636i	0.0816303	−	0.357646i
$890$	4.54638	−	5.70098i	0.152395	−	0.191097i
$891$	6.50353	−	28.4938i	0.217877	−	0.954579i
$892$	−23.2420	+	11.1928i	−0.778199	+	0.374761i
$893$	4.75948	+	5.96820i	0.159270	+	0.199718i
$894$	−14.2536	+	6.86417i	−0.476711	+	0.229572i
$895$	42.7501	−	53.6070i	1.42898	−	1.79188i
$896$	−50.1750			−1.67623
$897$	13.5683			0.453033
$898$	3.68647	−	4.62269i	0.123019	−	0.154261i
$899$	−81.8459	−	39.4149i	−2.72971	−	1.31456i
$900$	1.87062	+	8.19574i	0.0623542	+	0.273191i
$901$	−1.35650	+	5.94324i	−0.0451917	+	0.197998i
$902$	4.78983			0.159484
$903$	22.4751	−	56.4932i	0.747923	−	1.87998i
$904$	10.7677			0.358127
$905$	2.37019	−	10.3845i	0.0787879	−	0.345192i
$906$	4.22923	+	18.5294i	0.140507	+	0.615600i
$907$	−23.6711	−	11.3994i	−0.785985	−	0.378511i	−0.00256006	−	0.999997i	$-0.500815\pi$
$907$	−23.6711	−	11.3994i	−0.785985	−	0.378511i	−0.783425	+	0.621486i	$0.786529\pi$
$908$	13.4754	−	16.8976i	0.447197	−	0.560767i
$909$	−16.5066			−0.547491
$910$	−6.58362			−0.218245
$911$	−9.29238	+	11.6523i	−0.307870	+	0.386057i	−0.911563	−	0.411160i	$-0.865124\pi$
$911$	−9.29238	+	11.6523i	−0.307870	+	0.386057i	0.603693	+	0.797217i	$0.293695\pi$
$912$	6.92705	−	3.33589i	0.229378	−	0.110462i
$913$	10.5596	+	13.2413i	0.349471	+	0.438222i
$914$	−3.59416	+	1.73086i	−0.118884	+	0.0572517i
$915$	−8.23236	+	36.0683i	−0.272153	+	1.19238i
$916$	−10.1782	+	12.7631i	−0.336298	+	0.421705i
$917$	−7.06201	+	30.9407i	−0.233208	+	1.02175i
$918$	−1.54822	−	0.745581i	−0.0510987	−	0.0246079i
$919$	26.1321	+	32.7686i	0.862018	+	1.08094i	0.995947	+	0.0899453i	$0.0286692\pi$
$919$	26.1321	+	32.7686i	0.862018	+	1.08094i	−0.133929	+	0.990991i	$0.542759\pi$
$920$	−20.4912	−	25.6952i	−0.675576	−	0.847145i
$921$	2.72620	+	11.9443i	0.0898314	+	0.393577i
$922$	2.98673	+	1.43833i	0.0983628	+	0.0473690i
$923$	−15.0834	+	7.26378i	−0.496476	+	0.239090i
$924$	−9.73343	−	42.6449i	−0.320206	−	1.40292i
$925$	7.97282	+	34.9312i	0.262145	+	1.14853i
$926$	6.82970	−	3.28901i	0.224438	−	0.108084i
$927$	−18.2367	−	8.78235i	−0.598973	−	0.288450i
$928$	10.1389	+	44.4215i	0.332826	+	1.45821i
$929$	20.2880	+	25.4404i	0.665629	+	0.834672i	0.993943	−	0.109896i	$-0.0350519\pi$
$929$	20.2880	+	25.4404i	0.665629	+	0.834672i	−0.328314	+	0.944569i	$0.606481\pi$
$930$	−16.3146	−	20.4579i	−0.534977	−	0.670840i
$931$	−16.7138	−	8.04895i	−0.547773	−	0.263794i
$932$	3.01831	−	13.2241i	0.0988679	−	0.433169i
$933$	13.5053	−	16.9351i	0.442142	−	0.554429i
$934$	2.11650	−	9.27299i	0.0692540	−	0.303422i
$935$	7.15449	−	3.44542i	0.233977	−	0.112677i
$936$	−1.28473	−	1.61099i	−0.0419926	−	0.0526570i
$937$	41.3615	−	19.9186i	1.35122	−	0.650713i	0.388559	−	0.921424i	$-0.372973\pi$
$937$	41.3615	−	19.9186i	1.35122	−	0.650713i	0.962661	+	0.270711i	$0.0872587\pi$
$938$	−11.5705	+	14.5090i	−0.377792	+	0.473736i
$939$	16.0636			0.524215
$940$	30.7499			1.00295
$941$	16.5461	−	20.7482i	0.539389	−	0.676372i	−0.435210	−	0.900329i	$-0.643326\pi$
$941$	16.5461	−	20.7482i	0.539389	−	0.676372i	0.974599	+	0.223957i	$0.0718974\pi$
$942$	1.44840	+	0.697513i	0.0471914	+	0.0227262i
$943$	5.65811	+	24.7898i	0.184253	+	0.807267i
$944$	1.79606	−	7.86907i	0.0584569	−	0.256116i
$945$	−52.2077			−1.69832
$946$	−2.88850	+	7.26053i	−0.0939133	+	0.236060i
$947$	8.04107			0.261300			0.130650	−	0.991429i	$-0.458294\pi$
$947$	8.04107			0.261300			0.130650	+	0.991429i	$0.458294\pi$
$948$	6.74993	−	29.5734i	0.219227	−	0.960498i
$949$	−1.71787	−	7.52649i	−0.0557645	−	0.244320i
$950$	−2.26640	−	1.09144i	−0.0735317	−	0.0354110i
$951$	20.8762	−	26.1779i	0.676958	−	0.848878i
$952$	−7.84165			−0.254149
$953$	28.1818			0.912898			0.456449	−	0.889749i	$-0.349121\pi$
$953$	28.1818			0.912898			0.456449	+	0.889749i	$0.349121\pi$
$954$	1.95695	−	2.45394i	0.0633587	−	0.0794493i
$955$	−20.2625	+	9.75791i	−0.655679	+	0.315758i
$956$	10.2842	+	12.8960i	0.332615	+	0.417085i
$957$	−46.5642	+	22.4241i	−1.50521	+	0.724869i
$958$	0.979818	−	4.29286i	0.0316565	−	0.138696i
$959$	9.92768	−	12.4489i	0.320581	−	0.401996i
$960$	4.76023	−	20.8559i	0.153636	−	0.673123i
$961$	−51.6339	−	24.8656i	−1.66561	−	0.802116i
$962$	−2.58958	−	3.24723i	−0.0834914	−	0.104695i
$963$	−9.53836	−	11.9607i	−0.307369	−	0.385429i
$964$	7.77541	+	34.0663i	0.250429	+	1.09720i
$965$	12.0352	+	5.79585i	0.387427	+	0.186575i
$966$	−23.9532	+	11.5352i	−0.770680	+	0.371140i
$967$	6.64429	+	29.1105i	0.213666	+	0.936131i	0.962052	+	0.272867i	$0.0879721\pi$
$967$	6.64429	+	29.1105i	0.213666	+	0.936131i	−0.748386	+	0.663264i	$0.769171\pi$
$968$	−1.56494	−	6.85647i	−0.0502992	−	0.220375i
$969$	2.46563	−	1.18738i	0.0792074	−	0.0381443i
$970$	−15.8563	−	7.63600i	−0.509115	−	0.245177i
$971$	9.62719	+	42.1795i	0.308951	+	1.35360i	0.856205	+	0.516637i	$0.172816\pi$
$971$	9.62719	+	42.1795i	0.308951	+	1.35360i	−0.547254	+	0.836967i	$0.684327\pi$
$972$	−12.5720	−	15.7648i	−0.403248	−	0.505657i
$973$	5.07934	+	6.36929i	0.162836	+	0.204190i
$974$	11.4333	+	5.50598i	0.366346	+	0.176423i
$975$	1.96836	−	8.62395i	0.0630380	−	0.276187i
$976$	10.5493	−	13.2284i	0.337675	−	0.423432i
$977$	−6.40920	+	28.0806i	−0.205049	+	0.898377i	0.762758	+	0.646684i	$0.223845\pi$
$977$	−6.40920	+	28.0806i	−0.205049	+	0.898377i	−0.967807	+	0.251693i	$0.919013\pi$
$978$	4.18259	−	2.01423i	0.133744	−	0.0644079i
$979$	−8.72932	−	10.9462i	−0.278990	−	0.349843i
$980$	−67.3271	+	32.4230i	−2.15068	+	1.03571i
$981$	10.8130	−	13.5591i	0.345233	−	0.432909i
$982$	−13.1512			−0.419672
$983$	41.1871			1.31367			0.656833	−	0.754036i	$-0.271896\pi$
$983$	41.1871			1.31367			0.656833	+	0.754036i	$0.271896\pi$
$984$	8.76634	−	10.9926i	0.279461	−	0.350433i
$985$	2.78321	+	1.34032i	0.0886803	+	0.0427062i
$986$	0.975034	+	4.27190i	0.0310514	+	0.136045i
$987$	11.7040	−	51.2787i	0.372543	−	1.63222i
$988$	−2.54688			−0.0810270
$989$	−40.9890	−	6.37277i	−1.30337	−	0.202642i
$990$	−4.08855			−0.129943
$991$	−8.76412	+	38.3981i	−0.278402	+	1.21976i	0.621413	+	0.783484i	$0.286559\pi$
$991$	−8.76412	+	38.3981i	−0.278402	+	1.21976i	−0.899814	+	0.436273i	$0.856298\pi$
$992$	9.85623	+	43.1830i	0.312936	+	1.37106i
$993$	19.0142	+	9.15675i	0.603397	+	0.290581i
$994$	20.4525	−	25.6466i	0.648713	−	0.813460i
$995$	−66.0074			−2.09258
$996$	23.5115			0.744989
$997$	−17.9236	+	22.4755i	−0.567647	+	0.711807i	−0.979951	−	0.199239i	$-0.936153\pi$
$997$	−17.9236	+	22.4755i	−0.567647	+	0.711807i	0.412304	+	0.911046i	$0.364724\pi$
$998$	−8.52117	+	4.10358i	−0.269733	+	0.129897i
$999$	−20.5352	−	25.7503i	−0.649705	−	0.814704i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.a.35.15	✓	180
43.16	even	7	inner	731.2.k.a.188.15	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.a.35.15	✓	180	1.1	even	1	trivial
731.2.k.a.188.15	yes	180	43.16	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:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.100864 + 0.441914i) q^{2} +(0.452538 + 1.98270i) q^{3} +(1.61682 + 0.778621i) q^{4} +(-1.88332 + 2.36161i) q^{5} -0.921827 q^{6} +4.55915 q^{7} +(-1.07239 + 1.34474i) q^{8} +(-1.02340 + 0.492843i) q^{9} +O(q^{10})\)	\(q+(-0.100864 + 0.441914i) q^{2} +(0.452538 + 1.98270i) q^{3} +(1.61682 + 0.778621i) q^{4} +(-1.88332 + 2.36161i) q^{5} -0.921827 q^{6} +4.55915 q^{7} +(-1.07239 + 1.34474i) q^{8} +(-1.02340 + 0.492843i) q^{9} +(-0.853668 - 1.07047i) q^{10} +(-2.36856 + 1.14064i) q^{11} +(-0.812097 + 3.55803i) q^{12} +(0.657584 - 0.824584i) q^{13} +(-0.459854 + 2.01475i) q^{14} +(-5.53463 - 2.66534i) q^{15} +(1.75166 + 2.19651i) q^{16} +(0.623490 + 0.781831i) q^{17} +(-0.114570 - 0.501964i) q^{18} +(-1.21239 - 0.583858i) q^{19} +(-4.88379 + 2.35191i) q^{20} +(2.06319 + 9.03942i) q^{21} +(-0.265161 - 1.16175i) q^{22} +(5.69941 - 2.74469i) q^{23} +(-3.15151 - 1.51769i) q^{24} +(-0.917696 - 4.02069i) q^{25} +(0.298069 + 0.373766i) q^{26} +(2.36366 + 2.96394i) q^{27} +(7.37133 + 3.54985i) q^{28} +(2.15107 - 9.42445i) q^{29} +(1.73610 - 2.17699i) q^{30} +(2.09110 - 9.16170i) q^{31} +(-4.24665 + 2.04508i) q^{32} +(-3.33340 - 4.17996i) q^{33} +(-0.408390 + 0.196670i) q^{34} +(-8.58633 + 10.7669i) q^{35} -2.03839 q^{36} -8.68787 q^{37} +(0.380302 - 0.476883i) q^{38} +(1.93248 + 0.930635i) q^{39} +(-1.15608 - 5.06514i) q^{40} +(-0.894441 + 3.91880i) q^{41} -4.20274 q^{42} +(-5.40081 - 3.71904i) q^{43} -4.71767 q^{44} +(0.763486 - 3.34505i) q^{45} +(0.638052 + 2.79549i) q^{46} +(-5.11101 - 2.46133i) q^{47} +(-3.56233 + 4.46702i) q^{48} +13.7858 q^{49} +1.86936 q^{50} +(-1.26798 + 1.59000i) q^{51} +(1.70523 - 0.821198i) q^{52} +(3.80084 + 4.76611i) q^{53} +(-1.54822 + 0.745581i) q^{54} +(1.76701 - 7.74179i) q^{55} +(-4.88919 + 6.13085i) q^{56} +(0.608960 - 2.66803i) q^{57} +(3.94783 + 1.90118i) q^{58} +(-1.79126 - 2.24617i) q^{59} +(-6.87324 - 8.61876i) q^{60} +(-1.34012 - 5.87147i) q^{61} +(3.83776 + 1.84817i) q^{62} +(-4.66583 + 2.24694i) q^{63} +(0.774906 + 3.39509i) q^{64} +(0.708904 + 3.10591i) q^{65} +(2.18340 - 1.05147i) q^{66} +(8.09069 + 3.89627i) q^{67} +(0.399322 + 1.74955i) q^{68} +(8.02109 + 10.0581i) q^{69} +(-3.89200 - 4.88041i) q^{70} +(-14.3014 - 6.88717i) q^{71} +(0.434741 - 1.90472i) q^{72} +(4.56381 - 5.72284i) q^{73} +(0.876293 - 3.83929i) q^{74} +(7.55652 - 3.63903i) q^{75} +(-1.50562 - 1.88799i) q^{76} +(-10.7986 + 5.20033i) q^{77} +(-0.606178 + 0.760124i) q^{78} -8.31172 q^{79} -8.48624 q^{80} +(-6.93160 + 8.69195i) q^{81} +(-1.64156 - 0.790532i) q^{82} +(-1.43355 - 6.28080i) q^{83} +(-3.70247 + 16.2216i) q^{84} -3.02061 q^{85} +(2.18824 - 2.01158i) q^{86} +19.6593 q^{87} +(1.00617 - 4.40830i) q^{88} +(1.18508 + 5.19217i) q^{89} +(1.40122 + 0.674790i) q^{90} +(2.99802 - 3.75940i) q^{91} +11.3520 q^{92} +19.1112 q^{93} +(1.60321 - 2.01037i) q^{94} +(3.66217 - 1.76361i) q^{95} +(-5.97655 - 7.49436i) q^{96} +(11.5809 - 5.57707i) q^{97} +(-1.39049 + 6.09214i) q^{98} +(1.86183 - 2.33466i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

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