LMFDB - Embedded newform 360.2.bf.b.61.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(61,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 0]))

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

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

chi := DirichletCharacter("360.61");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bf (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:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$92$
Relative dimension:	$46$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			61.12
Character	$\chi$	$=$	360.61
Dual form			360.2.bf.b.301.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.911534 + 1.08125i) q^{2} +(-1.64095 + 0.554332i) q^{3} +(-0.338210 - 1.97120i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.896409 - 2.27957i) q^{6} +(1.02186 - 1.76992i) q^{7} +(2.43965 + 1.43112i) q^{8} +(2.38543 - 1.81926i) q^{9} +O(q^{10})$	\(q+(-0.911534 + 1.08125i) q^{2} +(-1.64095 + 0.554332i) q^{3} +(-0.338210 - 1.97120i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.896409 - 2.27957i) q^{6} +(1.02186 - 1.76992i) q^{7} +(2.43965 + 1.43112i) q^{8} +(2.38543 - 1.81926i) q^{9} +(0.248786 - 1.39216i) q^{10} +(4.86012 + 2.80599i) q^{11} +(1.64768 + 3.04715i) q^{12} +(-3.36152 + 1.94078i) q^{13} +(0.982265 + 2.71824i) q^{14} +(1.14394 - 1.30054i) q^{15} +(-3.77123 + 1.33336i) q^{16} -3.70770 q^{17} +(-0.207322 + 4.23757i) q^{18} +0.410031i q^{19} +(1.27850 + 1.53800i) q^{20} +(-0.695703 + 3.47080i) q^{21} +(-7.46414 + 2.69725i) q^{22} +(4.09780 + 7.09760i) q^{23} +(-4.79666 - 0.996025i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.965677 - 5.40374i) q^{26} +(-2.90590 + 4.30764i) q^{27} +(-3.83447 - 1.41569i) q^{28} +(-3.05670 - 1.76479i) q^{29} +(0.363473 + 2.42237i) q^{30} +(1.54458 + 2.67530i) q^{31} +(1.99591 - 5.29305i) q^{32} +(-9.53065 - 1.91037i) q^{33} +(3.37970 - 4.00896i) q^{34} +2.04373i q^{35} +(-4.39290 - 4.08686i) q^{36} -0.255876i q^{37} +(-0.443347 - 0.373758i) q^{38} +(4.44026 - 5.04812i) q^{39} +(-2.82836 - 0.0195647i) q^{40} +(5.40431 + 9.36054i) q^{41} +(-3.11865 - 3.91599i) q^{42} +(6.44879 + 3.72321i) q^{43} +(3.88742 - 10.5293i) q^{44} +(-1.15621 + 2.76824i) q^{45} +(-11.4096 - 2.03895i) q^{46} +(-3.86318 + 6.69122i) q^{47} +(5.44927 - 4.27848i) q^{48} +(1.41159 + 2.44494i) q^{49} +(0.480624 + 1.33004i) q^{50} +(6.08415 - 2.05530i) q^{51} +(4.96255 + 5.96983i) q^{52} +0.0103587i q^{53} +(-2.00882 - 7.06857i) q^{54} -5.61198 q^{55} +(5.02596 - 2.85557i) q^{56} +(-0.227294 - 0.672841i) q^{57} +(4.69447 - 1.69640i) q^{58} +(-1.03606 + 0.598170i) q^{59} +(-2.95051 - 1.81507i) q^{60} +(-4.16418 - 2.40419i) q^{61} +(-4.30061 - 0.768543i) q^{62} +(-0.782364 - 6.08106i) q^{63} +(3.90377 + 6.98288i) q^{64} +(1.94078 - 3.36152i) q^{65} +(10.7531 - 8.56367i) q^{66} +(1.99943 - 1.15437i) q^{67} +(1.25398 + 7.30861i) q^{68} +(-10.6587 - 9.37525i) q^{69} +(-2.20978 - 1.86293i) q^{70} -7.28502 q^{71} +(8.42320 - 1.02452i) q^{72} +6.70986 q^{73} +(0.276667 + 0.233240i) q^{74} +(-0.340409 + 1.69827i) q^{75} +(0.808252 - 0.138677i) q^{76} +(9.93276 - 5.73468i) q^{77} +(1.41084 + 9.40257i) q^{78} +(5.14794 - 8.91650i) q^{79} +(2.59930 - 3.04033i) q^{80} +(2.38057 - 8.67945i) q^{81} +(-15.0473 - 2.68904i) q^{82} +(14.6416 + 8.45331i) q^{83} +(7.07693 + 0.197508i) q^{84} +(3.21097 - 1.85385i) q^{85} +(-9.90403 + 3.57893i) q^{86} +(5.99418 + 1.20150i) q^{87} +(7.84126 + 13.8011i) q^{88} +1.36536 q^{89} +(-1.93924 - 3.77351i) q^{90} +7.93284i q^{91} +(12.6048 - 10.4780i) q^{92} +(-4.01759 - 3.53382i) q^{93} +(-3.71347 - 10.2764i) q^{94} +(-0.205016 - 0.355098i) q^{95} +(-0.341083 + 9.79202i) q^{96} +(-6.83159 + 11.8327i) q^{97} +(-3.93031 - 0.702367i) q^{98} +(16.6983 - 2.14833i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9}+O(q^{10}) $ 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9	$ 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9} + 4 q^{10} + 22 q^{12} - 18 q^{14} - 8 q^{16} + 12 q^{17} - 16 q^{18} - 4 q^{20} - 10 q^{22} + 28 q^{23} + 24 q^{24} + 46 q^{25} - 64 q^{26} - 10 q^{30} + 8 q^{31} - 28 q^{32} - 14 q^{33} - 38 q^{36} - 6 q^{38} - 24 q^{39} + 2 q^{40} - 18 q^{41} + 22 q^{42} - 36 q^{44} + 4 q^{46} - 36 q^{47} - 76 q^{48} - 30 q^{49} - 2 q^{50} + 6 q^{52} + 42 q^{54} + 20 q^{55} - 38 q^{56} - 34 q^{57} + 18 q^{58} - 14 q^{60} + 60 q^{62} - 32 q^{63} - 48 q^{64} + 12 q^{65} + 36 q^{66} + 16 q^{68} + 8 q^{70} - 8 q^{71} + 92 q^{72} - 4 q^{73} + 52 q^{74} + 22 q^{76} + 58 q^{78} + 20 q^{79} - 16 q^{80} + 18 q^{81} - 16 q^{82} + 38 q^{84} - 60 q^{86} - 48 q^{87} - 20 q^{88} - 24 q^{89} - 24 q^{90} + 36 q^{92} - 14 q^{94} - 18 q^{95} - 38 q^{96} - 14 q^{97} - 60 q^{98}+O(q^{100}) $ 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9 + 4 * q^10 + 22 * q^12 - 18 * q^14 - 8 * q^16 + 12 * q^17 - 16 * q^18 - 4 * q^20 - 10 * q^22 + 28 * q^23 + 24 * q^24 + 46 * q^25 - 64 * q^26 - 10 * q^30 + 8 * q^31 - 28 * q^32 - 14 * q^33 - 38 * q^36 - 6 * q^38 - 24 * q^39 + 2 * q^40 - 18 * q^41 + 22 * q^42 - 36 * q^44 + 4 * q^46 - 36 * q^47 - 76 * q^48 - 30 * q^49 - 2 * q^50 + 6 * q^52 + 42 * q^54 + 20 * q^55 - 38 * q^56 - 34 * q^57 + 18 * q^58 - 14 * q^60 + 60 * q^62 - 32 * q^63 - 48 * q^64 + 12 * q^65 + 36 * q^66 + 16 * q^68 + 8 * q^70 - 8 * q^71 + 92 * q^72 - 4 * q^73 + 52 * q^74 + 22 * q^76 + 58 * q^78 + 20 * q^79 - 16 * q^80 + 18 * q^81 - 16 * q^82 + 38 * q^84 - 60 * q^86 - 48 * q^87 - 20 * q^88 - 24 * q^89 - 24 * q^90 + 36 * q^92 - 14 * q^94 - 18 * q^95 - 38 * q^96 - 14 * q^97 - 60 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$1$	$1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.911534	+	1.08125i	−0.644552	+	0.764560i
$2$	−0.911534	+	1.08125i	−0.644552	+	0.764560i
$3$	−1.64095	+	0.554332i	−0.947403	+	0.320044i
$3$	−1.64095	+	0.554332i	−0.947403	+	0.320044i
$4$	−0.338210	−	1.97120i	−0.169105	−	0.985598i
$5$	−0.866025	+	0.500000i	−0.387298	+	0.223607i
$5$	−0.866025	+	0.500000i	−0.387298	+	0.223607i
$6$	0.896409	−	2.27957i	0.365958	−	0.930632i
$7$	1.02186	−	1.76992i	0.386228	−	0.668967i	−0.605710	−	0.795685i	$-0.707111\pi$
$7$	1.02186	−	1.76992i	0.386228	−	0.668967i	0.991939	+	0.126718i	$0.0404443\pi$
$8$	2.43965	+	1.43112i	0.862546	+	0.505978i
$9$	2.38543	−	1.81926i	0.795144	−	0.606421i
$10$	0.248786	−	1.39216i	0.0786731	−	0.440239i
$11$	4.86012	+	2.80599i	1.46538	+	0.846038i	0.999252	−	0.0386796i	$-0.0123152\pi$
$11$	4.86012	+	2.80599i	1.46538	+	0.846038i	0.466128	+	0.884717i	$0.345649\pi$
$12$	1.64768	+	3.04715i	0.475645	+	0.879637i
$13$	−3.36152	+	1.94078i	−0.932319	+	0.538275i	−0.887544	−	0.460722i	$-0.847590\pi$
$13$	−3.36152	+	1.94078i	−0.932319	+	0.538275i	−0.0447749	+	0.998997i	$0.514257\pi$
$14$	0.982265	+	2.71824i	0.262521	+	0.726479i
$15$	1.14394	−	1.30054i	0.295364	−	0.335798i
$16$	−3.77123	+	1.33336i	−0.942807	+	0.333339i
$17$	−3.70770			−0.899250			−0.449625	−	0.893217i	$-0.648442\pi$
$17$	−3.70770			−0.899250			−0.449625	+	0.893217i	$0.648442\pi$
$18$	−0.207322	+	4.23757i	−0.0488663	+	0.998805i
$19$			0.410031i			0.0940676i	0.998893	+	0.0470338i	$0.0149769\pi$
$19$			0.410031i			0.0940676i	−0.998893	+	0.0470338i	$0.985023\pi$
$20$	1.27850	+	1.53800i	0.285880	+	0.343907i
$21$	−0.695703	+	3.47080i	−0.151815	+	0.757391i
$22$	−7.46414	+	2.69725i	−1.59136	+	0.575056i
$23$	4.09780	+	7.09760i	0.854450	+	1.47995i	0.877154	+	0.480209i	$0.159439\pi$
$23$	4.09780	+	7.09760i	0.854450	+	1.47995i	−0.0227041	+	0.999742i	$0.507228\pi$
$24$	−4.79666	−	0.996025i	−0.979114	−	0.203313i
$25$	0.500000	−	0.866025i	0.100000	−	0.173205i
$26$	0.965677	−	5.40374i	0.189385	−	1.05976i
$27$	−2.90590	+	4.30764i	−0.559240	+	0.829006i
$28$	−3.83447	−	1.41569i	−0.724646	−	0.267540i
$29$	−3.05670	−	1.76479i	−0.567616	−	0.327713i	0.188581	−	0.982058i	$-0.439611\pi$
$29$	−3.05670	−	1.76479i	−0.567616	−	0.327713i	−0.756196	+	0.654345i	$0.772945\pi$
$30$	0.363473	+	2.42237i	0.0663607	+	0.442263i
$31$	1.54458	+	2.67530i	0.277416	+	0.480498i	0.970742	−	0.240126i	$-0.0771888\pi$
$31$	1.54458	+	2.67530i	0.277416	+	0.480498i	−0.693326	+	0.720624i	$0.743855\pi$
$32$	1.99591	−	5.29305i	0.352831	−	0.935687i
$33$	−9.53065	−	1.91037i	−1.65907	−	0.332552i
$34$	3.37970	−	4.00896i	0.579614	−	0.687531i
$35$			2.04373i			0.345453i
$36$	−4.39290	−	4.08686i	−0.732150	−	0.681143i
$37$		−	0.255876i		−	0.0420658i	−0.999779	−	0.0210329i	$-0.993305\pi$
$37$		−	0.255876i		−	0.0420658i	0.999779	−	0.0210329i	$-0.00669547\pi$
$38$	−0.443347	−	0.373758i	−0.0719204	−	0.0606315i
$39$	4.44026	−	5.04812i	0.711010	−	0.808346i
$40$	−2.82836	−	0.0195647i	−0.447203	−	0.00309345i
$41$	5.40431	+	9.36054i	0.844012	+	1.46187i	0.886477	+	0.462773i	$0.153146\pi$
$41$	5.40431	+	9.36054i	0.844012	+	1.46187i	−0.0424649	+	0.999098i	$0.513521\pi$
$42$	−3.11865	−	3.91599i	−0.481219	−	0.604250i
$43$	6.44879	+	3.72321i	0.983432	+	0.567785i	0.903305	−	0.429000i	$-0.141134\pi$
$43$	6.44879	+	3.72321i	0.983432	+	0.567785i	0.0801274	+	0.996785i	$0.474467\pi$
$44$	3.88742	−	10.5293i	0.586050	−	1.58734i
$45$	−1.15621	+	2.76824i	−0.172358	+	0.412665i
$46$	−11.4096	−	2.03895i	−1.68225	−	0.300627i
$47$	−3.86318	+	6.69122i	−0.563503	+	0.976015i	0.433685	+	0.901065i	$0.357213\pi$
$47$	−3.86318	+	6.69122i	−0.563503	+	0.976015i	−0.997187	+	0.0749506i	$0.976120\pi$
$48$	5.44927	−	4.27848i	0.786535	−	0.617546i
$49$	1.41159	+	2.44494i	0.201655	+	0.349277i
$50$	0.480624	+	1.33004i	0.0679705	+	0.188096i
$51$	6.08415	−	2.05530i	0.851952	−	0.287800i
$52$	4.96255	+	5.96983i	0.688182	+	0.827867i
$53$			0.0103587i			0.00142287i	1.00000		0.000711436i	$0.000226457\pi$
$53$			0.0103587i			0.00142287i	−1.00000		0.000711436i	$0.999774\pi$
$54$	−2.00882	−	7.06857i	−0.273365	−	0.961910i
$55$	−5.61198			−0.756719
$56$	5.02596	−	2.85557i	0.671623	−	0.381592i
$57$	−0.227294	−	0.672841i	−0.0301058	−	0.0891199i
$58$	4.69447	−	1.69640i	0.616414	−	0.222748i
$59$	−1.03606	+	0.598170i	−0.134884	+	0.0778752i	−0.565923	−	0.824458i	$-0.691480\pi$
$59$	−1.03606	+	0.598170i	−0.134884	+	0.0778752i	0.431040	+	0.902333i	$0.358147\pi$
$60$	−2.95051	−	1.81507i	−0.380909	−	0.234325i
$61$	−4.16418	−	2.40419i	−0.533168	−	0.307825i	0.209137	−	0.977886i	$-0.432934\pi$
$61$	−4.16418	−	2.40419i	−0.533168	−	0.307825i	−0.742306	+	0.670061i	$0.766268\pi$
$62$	−4.30061	−	0.768543i	−0.546179	−	0.0976050i
$63$	−0.782364	−	6.08106i	−0.0985686	−	0.766142i
$64$	3.90377	+	6.98288i	0.487972	+	0.872860i
$65$	1.94078	−	3.36152i	0.240724	−	0.416946i
$66$	10.7531	−	8.56367i	1.32362	−	1.05411i
$67$	1.99943	−	1.15437i	0.244270	−	0.141029i	−0.372868	−	0.927884i	$-0.621626\pi$
$67$	1.99943	−	1.15437i	0.244270	−	0.141029i	0.617138	+	0.786855i	$0.288292\pi$
$68$	1.25398	+	7.30861i	0.152068	+	0.886299i
$69$	−10.6587	−	9.37525i	−1.28316	−	1.12865i
$70$	−2.20978	−	1.86293i	−0.264120	−	0.222663i
$71$	−7.28502			−0.864573			−0.432287	−	0.901736i	$-0.642293\pi$
$71$	−7.28502			−0.864573			−0.432287	+	0.901736i	$0.642293\pi$
$72$	8.42320	−	1.02452i	0.992684	−	0.120740i
$73$	6.70986			0.785330			0.392665	−	0.919682i	$-0.371553\pi$
$73$	6.70986			0.785330			0.392665	+	0.919682i	$0.371553\pi$
$74$	0.276667	+	0.233240i	0.0321618	+	0.0271136i
$75$	−0.340409	+	1.69827i	−0.0393070	+	0.196099i
$76$	0.808252	−	0.138677i	0.0927129	−	0.0159073i
$77$	9.93276	−	5.73468i	1.13194	−	0.653527i
$78$	1.41084	+	9.40257i	0.159746	+	1.06463i
$79$	5.14794	−	8.91650i	0.579189	−	1.00318i	−0.416384	−	0.909189i	$-0.636703\pi$
$79$	5.14794	−	8.91650i	0.579189	−	1.00318i	0.995573	−	0.0939958i	$-0.0299640\pi$
$80$	2.59930	−	3.04033i	0.290611	−	0.339920i
$81$	2.38057	−	8.67945i	0.264507	−	0.964384i
$82$	−15.0473	−	2.68904i	−1.66170	−	0.296954i
$83$	14.6416	+	8.45331i	1.60712	+	0.927871i	0.990011	+	0.140993i	$0.0450295\pi$
$83$	14.6416	+	8.45331i	1.60712	+	0.927871i	0.617109	+	0.786878i	$0.288304\pi$
$84$	7.07693	+	0.197508i	0.772156	+	0.0215499i
$85$	3.21097	−	1.85385i	0.348278	−	0.201078i
$86$	−9.90403	+	3.57893i	−1.06798	+	0.385926i
$87$	5.99418	+	1.20150i	0.642643	+	0.128814i
$88$	7.84126	+	13.8011i	0.835881	+	1.47120i
$89$	1.36536			0.144728			0.0723642	−	0.997378i	$-0.476946\pi$
$89$	1.36536			0.144728			0.0723642	+	0.997378i	$0.476946\pi$
$90$	−1.93924	−	3.77351i	−0.204414	−	0.397762i
$91$			7.93284i			0.831588i
$92$	12.6048	−	10.4780i	1.31415	−	1.09241i
$93$	−4.01759	−	3.53382i	−0.416605	−	0.366440i
$94$	−3.71347	−	10.2764i	−0.383016	−	1.05992i
$95$	−0.205016	−	0.355098i	−0.0210342	−	0.0364322i
$96$	−0.341083	+	9.79202i	−0.0348117	+	0.999394i
$97$	−6.83159	+	11.8327i	−0.693643	+	1.20142i	0.276993	+	0.960872i	$0.410662\pi$
$97$	−6.83159	+	11.8327i	−0.693643	+	1.20142i	−0.970636	+	0.240553i	$0.922671\pi$
$98$	−3.93031	−	0.702367i	−0.397021	−	0.0709498i
$99$	16.6983	−	2.14833i	1.67824	−	0.215916i
$100$	−1.87621	−	0.692700i	−0.187621	−	0.0692700i
$101$	4.74803	+	2.74128i	0.472447	+	0.272767i	0.717263	−	0.696802i	$-0.245394\pi$
$101$	4.74803	+	2.74128i	0.472447	+	0.272767i	−0.244817	+	0.969569i	$0.578728\pi$
$102$	−3.32362	+	8.45198i	−0.329087	+	0.836870i
$103$	−8.89502	−	15.4066i	−0.876452	−	1.51806i	−0.855208	−	0.518285i	$-0.826571\pi$
$103$	−8.89502	−	15.4066i	−0.876452	−	1.51806i	−0.0212440	−	0.999774i	$-0.506763\pi$
$104$	−10.9784	−	0.0759414i	−1.07652	−	0.00744666i
$105$	−1.13290	−	3.35366i	−0.110560	−	0.327283i
$106$	−0.0112003	−	0.00944228i	−0.00108787	−	0.000917116i
$107$		−	15.3863i		−	1.48744i	−0.668488	−	0.743722i	$-0.733058\pi$
$107$		−	15.3863i		−	1.48744i	0.668488	−	0.743722i	$-0.266942\pi$
$108$	9.47401	+	4.27121i	0.911637	+	0.410997i
$109$		−	5.55192i		−	0.531778i	−0.964004	−	0.265889i	$-0.914335\pi$
$109$		−	5.55192i		−	0.531778i	0.964004	−	0.265889i	$-0.0856654\pi$
$110$	5.11551	−	6.06796i	0.487745	−	0.578557i
$111$	0.141840	+	0.419880i	0.0134629	+	0.0398532i
$112$	−1.49375	+	8.03728i	−0.141146	+	0.759452i
$113$	−6.90365	−	11.9575i	−0.649441	−	1.12486i	−0.983257	−	0.182226i	$-0.941670\pi$
$113$	−6.90365	−	11.9575i	−0.649441	−	1.12486i	0.333816	−	0.942638i	$-0.391664\pi$
$114$	0.934696	+	0.367556i	0.0875423	+	0.0344248i
$115$	−7.09760	−	4.09780i	−0.661854	−	0.382122i
$116$	−2.44494	+	6.62223i	−0.227007	+	0.614859i
$117$	−4.48790	+	10.7451i	−0.414907	+	0.993384i
$118$	0.297633	−	1.66550i	0.0273993	−	0.153321i
$119$	−3.78877	+	6.56234i	−0.347316	+	0.601569i
$120$	4.65204	−	1.53575i	0.424671	−	0.140194i
$121$	10.2471	+	17.7486i	0.931559	+	1.61351i
$122$	6.39532	−	2.31102i	0.579005	−	0.209230i
$123$	−14.0571	−	12.3644i	−1.26748	−	1.11486i
$124$	4.75115	−	3.94949i	0.426665	−	0.354675i
$125$			1.00000i			0.0894427i
$126$	7.28831	+	4.69717i	0.649294	+	0.418457i
$127$	14.1382			1.25456			0.627281	−	0.778793i	$-0.284168\pi$
$127$	14.1382			1.25456			0.627281	+	0.778793i	$0.284168\pi$
$128$	−11.1087	−	2.14417i	−0.981877	−	0.189520i
$129$	−12.6460	−	2.53483i	−1.11342	−	0.223179i
$130$	1.86557	+	5.16261i	0.163621	+	0.452791i
$131$	−10.0690	+	5.81335i	−0.879734	+	0.507915i	−0.870571	−	0.492043i	$-0.836250\pi$
$131$	−10.0690	+	5.81335i	−0.879734	+	0.507915i	−0.00916351	+	0.999958i	$0.502917\pi$
$132$	−0.542348	+	19.4329i	−0.0472053	+	1.69142i
$133$	0.725723	+	0.418996i	0.0629282	+	0.0363316i
$134$	−0.574385	+	3.21414i	−0.0496193	+	0.277660i
$135$	0.362760	−	5.18347i	0.0312214	−	0.446122i
$136$	−9.04549	−	5.30618i	−0.775645	−	0.455001i
$137$	0.0622718	−	0.107858i	0.00532024	−	0.00921492i	−0.863353	−	0.504600i	$-0.831640\pi$
$137$	0.0622718	−	0.107858i	0.00532024	−	0.00921492i	0.868673	+	0.495385i	$0.164973\pi$
$138$	19.8528	−	2.97888i	1.68998	−	0.253579i
$139$	4.95546	−	2.86104i	0.420317	−	0.242670i	−0.274896	−	0.961474i	$-0.588643\pi$
$139$	4.95546	−	2.86104i	0.420317	−	0.242670i	0.695213	+	0.718804i	$0.255310\pi$
$140$	4.02859	−	0.691209i	0.340478	−	0.0584178i
$141$	2.63012	−	13.1214i	0.221496	−	1.10503i
$142$	6.64055	−	7.87694i	0.557263	−	0.661018i
$143$	−21.7832			−1.82160
$144$	−6.57028	+	10.0415i	−0.547523	+	0.836790i
$145$	3.52958			0.293115
$146$	−6.11627	+	7.25505i	−0.506186	+	0.600432i
$147$	−3.67165	−	3.22954i	−0.302833	−	0.266368i
$148$	−0.504382	+	0.0865399i	−0.0414600	+	0.00711353i
$149$	−20.2286	+	11.6790i	−1.65719	+	0.956779i	−0.683187	+	0.730244i	$0.739406\pi$
$149$	−20.2286	+	11.6790i	−1.65719	+	0.956779i	−0.974003	+	0.226535i	$0.927260\pi$
$150$	−1.52596	−	1.91610i	−0.124594	−	0.156449i
$151$	−2.47929	+	4.29426i	−0.201762	+	0.349462i	−0.949096	−	0.314987i	$-0.898000\pi$
$151$	−2.47929	+	4.29426i	−0.201762	+	0.349462i	0.747334	+	0.664448i	$0.231333\pi$
$152$	−0.586805	+	1.00033i	−0.0475962	+	0.0811377i
$153$	−8.84447	+	6.74529i	−0.715033	+	0.545324i
$154$	−2.85342	+	15.9672i	−0.229935	+	1.28667i
$155$	−2.67530	−	1.54458i	−0.214885	−	0.124064i
$156$	−11.4526	−	7.04529i	−0.916940	−	0.564075i
$157$	8.31603	−	4.80126i	0.663691	−	0.383182i	−0.129991	−	0.991515i	$-0.541495\pi$
$157$	8.31603	−	4.80126i	0.663691	−	0.383182i	0.793682	+	0.608333i	$0.208161\pi$
$158$	4.94845	+	13.6939i	0.393678	+	1.08943i
$159$	−0.00574214	−	0.0169981i	−0.000455382	−	0.00134803i
$160$	0.918013	+	5.58187i	0.0725753	+	0.441285i
$161$	16.7496			1.32005
$162$	7.21470	+	10.4856i	0.566841	+	0.823827i
$163$		−	4.81790i		−	0.377367i	−0.982038	−	0.188683i	$-0.939578\pi$
$163$		−	4.81790i		−	0.377367i	0.982038	−	0.188683i	$-0.0604220\pi$
$164$	16.6237	−	13.8188i	1.29809	−	1.07907i
$165$	9.20897	−	3.11090i	0.716918	−	0.242183i
$166$	−22.4864	+	8.12572i	−1.74529	+	0.630679i
$167$	−3.41119	−	5.90835i	−0.263965	−	0.457202i	0.703327	−	0.710867i	$-0.251697\pi$
$167$	−3.41119	−	5.90835i	−0.263965	−	0.457202i	−0.967292	+	0.253665i	$0.918364\pi$
$168$	−6.66442	+	7.47190i	−0.514171	+	0.576470i
$169$	1.03323	−	1.78961i	0.0794794	−	0.137662i
$170$	−0.922425	+	5.16171i	−0.0707468	+	0.395885i
$171$	0.745955	+	0.978102i	0.0570446	+	0.0747973i
$172$	5.15814	−	13.9711i	0.393304	−	1.06528i
$173$	−18.2944	−	10.5623i	−1.39090	−	0.803037i	−0.397486	−	0.917608i	$-0.630117\pi$
$173$	−18.2944	−	10.5623i	−1.39090	−	0.803037i	−0.993415	+	0.114572i	$0.963450\pi$
$174$	−6.76302	+	5.38600i	−0.512703	+	0.408312i
$175$	−1.02186	−	1.76992i	−0.0772457	−	0.133793i
$176$	−22.0700	−	4.10176i	−1.66359	−	0.309182i
$177$	1.36854	−	1.55589i	0.102866	−	0.116948i
$178$	−1.24458	+	1.47630i	−0.0932850	+	0.110654i
$179$			3.78862i			0.283175i	0.989926	+	0.141587i	$0.0452206\pi$
$179$			3.78862i			0.283175i	−0.989926	+	0.141587i	$0.954779\pi$
$180$	5.84779	+	1.34287i	0.435869	+	0.100092i
$181$		−	7.40248i		−	0.550222i	−0.961413	−	0.275111i	$-0.911285\pi$
$181$		−	7.40248i		−	0.550222i	0.961413	−	0.275111i	$-0.0887146\pi$
$182$	−8.57740	−	7.23106i	−0.635799	−	0.536002i
$183$	8.16592	+	1.63681i	0.603642	+	0.120997i
$184$	−0.160344	+	23.1801i	−0.0118207	+	1.70886i
$185$	0.127938	+	0.221595i	0.00940620	+	0.0162920i
$186$	7.48312	−	1.12283i	0.548689	−	0.0823298i
$187$	−18.0199	−	10.4038i	−1.31774	−	0.760799i
$188$	14.4963	+	5.35205i	1.05725	+	0.390338i
$189$	4.65475	+	9.54503i	0.338583	+	0.694299i
$190$	0.570829	+	0.102010i	0.0414123	+	0.00740059i
$191$	−8.71183	+	15.0893i	−0.630366	+	1.09183i	0.357111	+	0.934062i	$0.383762\pi$
$191$	−8.71183	+	15.0893i	−0.630366	+	1.09183i	−0.987477	+	0.157764i	$0.949571\pi$
$192$	−10.2767	−	9.29456i	−0.741659	−	0.670777i
$193$	5.02434	+	8.70241i	0.361660	+	0.626413i	0.988234	−	0.152948i	$-0.0488768\pi$
$193$	5.02434	+	8.70241i	0.361660	+	0.626413i	−0.626574	+	0.779362i	$0.715543\pi$
$194$	−6.56685	−	18.1725i	−0.471473	−	1.30471i
$195$	−1.32132	+	6.59193i	−0.0946214	+	0.472058i
$196$	4.34204	−	3.60942i	0.310146	−	0.257816i
$197$		−	1.47150i		−	0.104840i	−0.998625	−	0.0524200i	$-0.983307\pi$
$197$		−	1.47150i		−	0.104840i	0.998625	−	0.0524200i	$-0.0166934\pi$
$198$	−12.8982	+	20.0133i	−0.916634	+	1.42229i
$199$	8.03119			0.569316			0.284658	−	0.958629i	$-0.408120\pi$
$199$	8.03119			0.569316			0.284658	+	0.958629i	$0.408120\pi$
$200$	2.45921	−	1.39724i	0.173893	−	0.0987995i
$201$	−2.64106	+	3.00262i	−0.186286	+	0.211789i
$202$	−7.29200	+	2.63505i	−0.513064	+	0.185401i
$203$	−6.24707	+	3.60675i	−0.438459	+	0.253144i
$204$	−6.10912	−	11.2979i	−0.427724	−	0.791014i
$205$	−9.36054	−	5.40431i	−0.653769	−	0.377454i
$206$	24.7665	+	4.42591i	1.72557	+	0.308368i
$207$	22.6874	+	9.47585i	1.57688	+	0.658617i
$208$	10.0893	−	11.8012i	0.699569	−	0.818268i
$209$	−1.15054	+	1.99280i	−0.0795848	+	0.137845i
$210$	4.65883	+	1.83202i	0.321490	+	0.126421i
$211$	5.11236	−	2.95162i	0.351949	−	0.203198i	−0.313594	−	0.949557i	$-0.601533\pi$
$211$	5.11236	−	2.95162i	0.351949	−	0.203198i	0.665544	+	0.746359i	$0.268200\pi$
$212$	0.0204190	−	0.00350340i	0.00140238	−	0.000240615i
$213$	11.9544	−	4.03832i	0.819099	−	0.276701i
$214$	16.6364	+	14.0251i	1.13724	+	0.958736i
$215$	−7.44643			−0.507842
$216$	−13.2541	+	6.35043i	−0.901829	+	0.432092i
$217$	6.31342			0.428583
$218$	6.00302	+	5.06077i	0.406576	+	0.342758i
$219$	−11.0106	+	3.71949i	−0.744024	+	0.251340i
$220$	1.89803	+	11.0623i	0.127965	+	0.745821i
$221$	12.4635	−	7.19583i	0.838388	−	0.484044i
$222$	−0.583288	−	0.229370i	−0.0391478	−	0.0153943i
$223$	0.314006	−	0.543874i	0.0210274	−	0.0364205i	−0.855320	−	0.518100i	$-0.826640\pi$
$223$	0.314006	−	0.543874i	0.0210274	−	0.0364205i	0.876348	+	0.481679i	$0.159973\pi$
$224$	−7.32872	−	8.94138i	−0.489671	−	0.597421i
$225$	−0.382812	−	2.97548i	−0.0255208	−	0.198365i
$226$	19.2219	+	3.43507i	1.27863	+	0.228497i
$227$	16.8054	+	9.70262i	1.11542	+	0.643985i	0.940227	−	0.340550i	$-0.110613\pi$
$227$	16.8054	+	9.70262i	1.11542	+	0.643985i	0.175189	+	0.984535i	$0.443946\pi$
$228$	−1.24943	+	0.675602i	−0.0827454	+	0.0447428i
$229$	21.0097	−	12.1300i	1.38836	−	0.801571i	0.395232	−	0.918581i	$-0.370664\pi$
$229$	21.0097	−	12.1300i	1.38836	−	0.801571i	0.993131	+	0.117010i	$0.0373310\pi$
$230$	10.9005	−	3.93900i	0.718755	−	0.259730i
$231$	−13.1202	+	14.9164i	−0.863248	+	0.981425i
$232$	−4.93165	−	8.67999i	−0.323779	−	0.569869i
$233$	−8.03726			−0.526539			−0.263269	−	0.964722i	$-0.584801\pi$
$233$	−8.03726			−0.526539			−0.263269	+	0.964722i	$0.584801\pi$
$234$	−7.52726	−	14.6471i	−0.492073	−	0.957509i
$235$		−	7.72636i		−	0.504012i
$236$	1.52952	+	1.83997i	0.0995631	+	0.119772i
$237$	−3.50481	+	17.4852i	−0.227662	+	1.13579i
$238$	−3.64195	−	10.0784i	−0.236072	−	0.653286i
$239$	12.0953	+	20.9496i	0.782378	+	1.35512i	0.930553	+	0.366157i	$0.119327\pi$
$239$	12.0953	+	20.9496i	0.782378	+	1.35512i	−0.148175	+	0.988961i	$0.547340\pi$
$240$	−2.57997	+	6.42991i	−0.166536	+	0.415049i
$241$	2.85736	−	4.94910i	0.184059	−	0.318799i	−0.759200	−	0.650857i	$-0.774410\pi$
$241$	2.85736	−	4.94910i	0.184059	−	0.318799i	0.943259	+	0.332058i	$0.107743\pi$
$242$	−28.5313	−	5.09870i	−1.83406	−	0.327757i
$243$	0.904912	+	15.5622i	0.0580502	+	0.998314i
$244$	−3.33076	+	9.02153i	−0.213230	+	0.577544i
$245$	−2.44494	−	1.41159i	−0.156202	−	0.0901830i
$246$	26.1825	−	3.92864i	1.66934	−	0.250481i
$247$	−0.795780	−	1.37833i	−0.0506342	−	0.0877011i
$248$	−0.0604386	+	8.73728i	−0.00383786	+	0.554818i
$249$	−28.7120	−	5.75516i	−1.81955	−	0.364719i
$250$	−1.08125	−	0.911534i	−0.0683844	−	0.0576505i
$251$		−	19.4385i		−	1.22695i	−0.789716	−	0.613473i	$-0.789772\pi$
$251$		−	19.4385i		−	1.22695i	0.789716	−	0.613473i	$-0.210228\pi$
$252$	−11.7224	+	3.59887i	−0.738440	+	0.226707i
$253$			45.9935i			2.89159i
$254$	−12.8875	+	15.2870i	−0.808631	+	0.959189i
$255$	−4.24138	+	4.82202i	−0.265606	+	0.301967i
$256$	12.4443	−	10.0568i	0.777770	−	0.628549i
$257$	−12.2295	−	21.1821i	−0.762855	−	1.32130i	−0.941373	−	0.337368i	$-0.890463\pi$
$257$	−12.2295	−	21.1821i	−0.762855	−	1.32130i	0.178517	−	0.983937i	$-0.442870\pi$
$258$	14.2681	−	11.3630i	0.888293	−	0.707428i
$259$	−0.452881	−	0.261471i	−0.0281406	−	0.0162470i
$260$	−7.28261	−	2.68875i	−0.451649	−	0.166749i
$261$	−10.5022	+	1.35116i	−0.650068	+	0.0836350i
$262$	2.89256	−	16.1862i	0.178703	−	0.999988i
$263$	10.1115	−	17.5136i	0.623501	−	1.07994i	−0.365328	−	0.930879i	$-0.619043\pi$
$263$	10.1115	−	17.5136i	0.623501	−	1.07994i	0.988829	−	0.149057i	$-0.0476236\pi$
$264$	−20.5175	−	18.3002i	−1.26276	−	1.12630i
$265$	−0.00517933	−	0.00897087i	−0.000318164	−	0.000551076i
$266$	−1.11456	+	0.402760i	−0.0683382	+	0.0246948i
$267$	−2.24049	+	0.756866i	−0.137116	+	0.0463194i
$268$	−2.95173	−	3.55086i	−0.180305	−	0.216903i
$269$			11.2724i			0.687290i	0.939100	+	0.343645i	$0.111662\pi$
$269$			11.2724i			0.687290i	−0.939100	+	0.343645i	$0.888338\pi$
$270$	5.27397	+	5.11715i	0.320964	+	0.311420i
$271$	−11.0180			−0.669299			−0.334649	−	0.942343i	$-0.608618\pi$
$271$	−11.0180			−0.669299			−0.334649	+	0.942343i	$0.608618\pi$
$272$	13.9826	−	4.94369i	0.847819	−	0.299755i
$273$	−4.39743	−	13.0174i	−0.266145	−	0.787849i
$274$	0.0598586	+	0.165648i	0.00361619	+	0.0100071i
$275$	4.86012	−	2.80599i	0.293076	−	0.169208i
$276$	−14.8756	+	24.1812i	−0.895405	+	1.45554i
$277$	−7.66533	−	4.42558i	−0.460565	−	0.265907i	0.251717	−	0.967801i	$-0.419005\pi$
$277$	−7.66533	−	4.42558i	−0.460565	−	0.265907i	−0.712282	+	0.701894i	$0.752338\pi$
$278$	−1.42357	+	7.96603i	−0.0853802	+	0.477771i
$279$	8.55157	+	3.57174i	0.511969	+	0.213834i
$280$	−2.92483	+	4.98598i	−0.174792	+	0.297969i
$281$	13.1956	−	22.8554i	0.787181	−	1.36344i	−0.140507	−	0.990080i	$-0.544873\pi$
$281$	13.1956	−	22.8554i	0.787181	−	1.36344i	0.927688	−	0.373357i	$-0.121794\pi$
$282$	11.7901	+	14.8045i	0.702093	+	0.881594i
$283$	−7.43266	+	4.29125i	−0.441826	+	0.255088i	−0.704372	−	0.709831i	$-0.748771\pi$
$283$	−7.43266	+	4.29125i	−0.441826	+	0.255088i	0.262546	+	0.964919i	$0.415438\pi$
$284$	2.46387	+	14.3602i	0.146204	+	0.852122i
$285$	0.533262	+	0.469050i	0.0315877	+	0.0277842i
$286$	19.8561	−	23.5531i	1.17412	−	1.39272i
$287$	22.0899			1.30393
$288$	−4.86833	−	16.2573i	−0.286869	−	0.957970i
$289$	−3.25294			−0.191349
$290$	−3.21733	+	3.81636i	−0.188928	+	0.224104i
$291$	4.65107	−	23.2038i	0.272650	−	1.36023i
$292$	−2.26934	−	13.2265i	−0.132803	−	0.774020i
$293$	21.8629	−	12.6226i	1.27724	−	0.737418i	0.300904	−	0.953654i	$-0.402712\pi$
$293$	21.8629	−	12.6226i	1.27724	−	0.737418i	0.976341	+	0.216237i	$0.0693784\pi$
$294$	6.83878	−	1.02615i	0.398846	−	0.0598461i
$295$	0.598170	−	1.03606i	0.0348268	−	0.0603218i
$296$	0.366190	−	0.624248i	0.0212844	−	0.0362837i
$297$	−26.2102	+	12.7817i	−1.52087	+	0.741670i
$298$	5.81114	−	32.5180i	0.336630	−	1.88372i
$299$	−27.5497	−	15.9058i	−1.59324	−	0.919858i
$300$	3.46275	+	0.0966411i	0.199922	+	0.00557958i
$301$	13.1796	−	7.60924i	0.759659	−	0.438589i
$302$	−2.38321	−	6.59510i	−0.137138	−	0.379505i
$303$	−9.31086	−	1.86631i	−0.534895	−	0.107217i
$304$	−0.546718	−	1.54632i	−0.0313564	−	0.0886876i
$305$	4.80838			0.275327
$306$	0.768689	−	15.7117i	0.0439430	−	0.898176i
$307$			16.2776i			0.929010i	0.885571	+	0.464505i	$0.153768\pi$
$307$			16.2776i			0.929010i	−0.885571	+	0.464505i	$0.846232\pi$
$308$	−14.6635	−	17.6399i	−0.835532	−	1.00513i
$309$	23.1367	+	20.3507i	1.31620	+	1.15771i
$310$	4.10871	−	1.48473i	0.233359	−	0.0843270i
$311$	3.50564	+	6.07195i	0.198787	+	0.344309i	0.948135	−	0.317867i	$-0.102967\pi$
$311$	3.50564	+	6.07195i	0.198787	+	0.344309i	−0.749349	+	0.662176i	$0.769633\pi$
$312$	18.0571	−	5.96108i	1.02228	−	0.337480i
$313$	3.37519	−	5.84600i	0.190777	−	0.330435i	−0.754731	−	0.656034i	$-0.772233\pi$
$313$	3.37519	−	5.84600i	0.190777	−	0.330435i	0.945508	+	0.325599i	$0.105566\pi$
$314$	−2.38898	+	13.3682i	−0.134818	+	0.754413i
$315$	3.71808	+	4.87517i	0.209490	+	0.274685i
$316$	−19.3173	−	7.13196i	−1.08668	−	0.401204i
$317$	24.2346	+	13.9919i	1.36115	+	0.785862i	0.989777	−	0.142621i	$-0.0455531\pi$
$317$	24.2346	+	13.9919i	1.36115	+	0.785862i	0.371375	+	0.928483i	$0.378886\pi$
$318$	0.0236133	+	0.00928561i	0.00132417	+	0.000520711i
$319$	−9.90396	−	17.1542i	−0.554515	−	0.960448i
$320$	−6.87220	−	4.09546i	−0.384168	−	0.228943i
$321$	8.52910	+	25.2481i	0.476048	+	1.40921i
$322$	−15.2678	+	18.1105i	−0.850842	+	1.00926i
$323$		−	1.52027i		−	0.0845903i
$324$	−17.9140	−	1.75709i	−0.995224	−	0.0976159i
$325$			3.88155i			0.215310i
$326$	5.20936	+	4.39168i	0.288520	+	0.243233i
$327$	3.07761	+	9.11042i	0.170192	+	0.503808i
$328$	−0.211467	+	30.5707i	−0.0116763	+	1.68798i
$329$	7.89529	+	13.6750i	0.435281	+	0.753930i
$330$	−5.03063	+	12.7929i	−0.276927	+	0.704226i
$331$	−10.7156	−	6.18668i	−0.588985	−	0.340051i	0.175711	−	0.984442i	$-0.443778\pi$
$331$	−10.7156	−	6.18668i	−0.588985	−	0.340051i	−0.764696	+	0.644391i	$0.777111\pi$
$332$	11.7112	−	31.7204i	0.642736	−	1.74088i
$333$	−0.465506	−	0.610375i	−0.0255096	−	0.0334484i
$334$	9.49782	+	1.69731i	0.519698	+	0.0928728i
$335$	−1.15437	+	1.99943i	−0.0630702	+	0.109241i
$336$	−2.00416	−	14.0168i	−0.109336	−	0.764680i
$337$	−5.04253	−	8.73392i	−0.274684	−	0.475767i	0.695371	−	0.718651i	$-0.255240\pi$
$337$	−5.04253	−	8.73392i	−0.274684	−	0.475767i	−0.970055	+	0.242884i	$0.921907\pi$
$338$	0.993192	+	2.74847i	0.0540225	+	0.149497i
$339$	17.9570	+	15.7947i	0.975288	+	0.857850i
$340$	−4.74029	−	5.70245i	−0.257078	−	0.309259i
$341$			17.3364i			0.938816i
$342$	−1.73754	−	0.0850086i	−0.0939553	−	0.00459674i
$343$	20.0759			1.08400
$344$	10.4044	+	18.3124i	0.560969	+	0.987336i
$345$	13.9183	+	2.78985i	0.749338	+	0.150201i
$346$	28.0965	−	10.1530i	1.51048	−	0.545828i
$347$	−10.2673	+	5.92780i	−0.551175	+	0.318221i	−0.749596	−	0.661896i	$-0.769752\pi$
$347$	−10.2673	+	5.92780i	−0.551175	+	0.318221i	0.198421	+	0.980117i	$0.436419\pi$
$348$	0.341102	−	12.2221i	0.0182850	−	0.655171i
$349$	5.73809	+	3.31289i	0.307153	+	0.177335i	0.645652	−	0.763632i	$-0.276586\pi$
$349$	5.73809	+	3.31289i	0.307153	+	0.177335i	−0.338499	+	0.940967i	$0.609919\pi$
$350$	2.84519	+	0.508451i	0.152082	+	0.0271779i
$351$	1.40807	−	20.1199i	0.0751574	−	1.07392i
$352$	24.5526	−	20.1243i	1.30866	−	1.07263i
$353$	11.0805	−	19.1919i	0.589754	−	1.02148i	−0.404510	−	0.914533i	$-0.632558\pi$
$353$	11.0805	−	19.1919i	0.589754	−	1.02148i	0.994264	−	0.106950i	$-0.0341086\pi$
$354$	0.434837	+	2.89798i	0.0231113	+	0.154026i
$355$	6.30902	−	3.64251i	0.334848	−	0.193324i
$356$	−0.461780	−	2.69140i	−0.0244743	−	0.142644i
$357$	2.57946	−	12.8687i	0.136520	−	0.681084i
$358$	−4.09645	−	3.45346i	−0.216504	−	0.182521i
$359$	−9.73986			−0.514050			−0.257025	−	0.966405i	$-0.582742\pi$
$359$	−9.73986			−0.514050			−0.257025	+	0.966405i	$0.582742\pi$
$360$	−6.78245	+	5.09886i	−0.357467	+	0.268733i
$361$	18.8319			0.991151
$362$	8.00394	+	6.74761i	0.420678	+	0.354647i
$363$	−26.6537	−	23.4442i	−1.39895	−	1.23050i
$364$	15.6372	−	2.68297i	0.819611	−	0.140626i
$365$	−5.81091	+	3.35493i	−0.304157	+	0.175605i
$366$	−9.21333	+	7.33740i	−0.481588	+	0.383532i
$367$	−4.37553	+	7.57864i	−0.228401	+	0.395602i	−0.957334	−	0.288983i	$-0.906683\pi$
$367$	−4.37553	+	7.57864i	−0.228401	+	0.395602i	0.728933	+	0.684585i	$0.240016\pi$
$368$	−24.9174	−	21.3028i	−1.29891	−	1.11049i
$369$	29.9209	+	12.4971i	1.55762	+	0.650571i
$370$	−0.356220	−	0.0636585i	−0.0185190	−	0.00330945i
$371$	0.0183340	+	0.0105852i	0.000951855	+	0.000549554i
$372$	−5.60706	+	9.11463i	−0.290713	+	0.472572i
$373$	−6.93342	+	4.00301i	−0.358999	+	0.207268i	−0.668642	−	0.743585i	$-0.733124\pi$
$373$	−6.93342	+	4.00301i	−0.358999	+	0.207268i	0.309643	+	0.950853i	$0.399791\pi$
$374$	27.6748	−	10.0006i	1.43103	−	0.517119i
$375$	−0.554332	−	1.64095i	−0.0286256	−	0.0847383i
$376$	−19.0008	+	10.7956i	−0.979890	+	0.556738i
$377$	13.7002			0.705599
$378$	−14.5635	−	3.66767i	−0.749068	−	0.188644i
$379$		−	4.57203i		−	0.234850i	−0.993082	−	0.117425i	$-0.962536\pi$
$379$		−	4.57203i		−	0.234850i	0.993082	−	0.117425i	$-0.0374639\pi$
$380$	−0.630629	+	0.524224i	−0.0323506	+	0.0268921i
$381$	−23.2001	+	7.83726i	−1.18858	+	0.401515i
$382$	−8.37423	−	23.1741i	−0.428463	−	1.18569i
$383$	−8.00465	−	13.8645i	−0.409019	−	0.708441i	0.585761	−	0.810484i	$-0.300796\pi$
$383$	−8.00465	−	13.8645i	−0.409019	−	0.708441i	−0.994780	+	0.102042i	$0.967462\pi$
$384$	19.4174	−	2.63942i	0.990887	−	0.134692i
$385$	−5.73468	+	9.93276i	−0.292266	+	0.506220i
$386$	−13.9894	−	2.49997i	−0.712039	−	0.127245i
$387$	22.1567	−	2.85058i	1.12629	−	0.144903i
$388$	25.6350	+	9.46448i	1.30142	+	0.480486i
$389$	−3.17774	−	1.83467i	−0.161118	−	0.0930214i	0.417273	−	0.908781i	$-0.362986\pi$
$389$	−3.17774	−	1.83467i	−0.161118	−	0.0930214i	−0.578391	+	0.815760i	$0.696319\pi$
$390$	−5.92311	−	7.43744i	−0.299928	−	0.376610i
$391$	−15.1934	−	26.3158i	−0.768364	−	1.33085i
$392$	−0.0552345	+	7.98495i	−0.00278976	+	0.403301i
$393$	13.3002	−	15.1210i	0.670908	−	0.762754i
$394$	1.59106	+	1.34132i	0.0801564	+	0.0675748i
$395$			10.2959i			0.518042i
$396$	−9.88232	−	32.1890i	−0.496605	−	1.61756i
$397$		−	8.56941i		−	0.430086i	−0.976605	−	0.215043i	$-0.931011\pi$
$397$		−	8.56941i		−	0.430086i	0.976605	−	0.215043i	$-0.0689892\pi$
$398$	−7.32070	+	8.68373i	−0.366954	+	0.435276i
$399$	−1.42314	−	0.285260i	−0.0712460	−	0.0142809i
$400$	−0.730894	+	3.93266i	−0.0365447	+	0.196633i
$401$	−14.6306	−	25.3410i	−0.730620	−	1.26547i	−0.956619	−	0.291343i	$-0.905898\pi$
$401$	−14.6306	−	25.3410i	−0.730620	−	1.26547i	0.225999	−	0.974128i	$-0.427435\pi$
$402$	−0.839167	−	5.59265i	−0.0418538	−	0.278936i
$403$	−10.3843	−	5.99539i	−0.517280	−	0.298652i
$404$	3.79776	−	10.2864i	0.188946	−	0.511769i
$405$	2.27810	+	8.70691i	0.113199	+	0.432650i
$406$	1.79462	−	10.0423i	0.0890654	−	0.498393i
$407$	0.717986	−	1.24359i	0.0355892	−	0.0616424i
$408$	17.7846	+	3.69297i	0.880468	+	0.182829i
$409$	−7.80855	−	13.5248i	−0.386108	−	0.668759i	0.605814	−	0.795606i	$-0.292847\pi$
$409$	−7.80855	−	13.5248i	−0.386108	−	0.668759i	−0.991922	+	0.126848i	$0.959514\pi$
$410$	14.3759	−	5.19489i	0.709974	−	0.256557i
$411$	−0.0423957	+	0.211509i	−0.00209123	+	0.0104329i
$412$	−27.3611	+	22.7445i	−1.34798	+	1.12054i
$413$			2.44500i			0.120310i
$414$	−30.9261	+	15.8932i	−1.51994	+	0.781110i
$415$	−16.9066			−0.829913
$416$	3.56332	+	21.6663i	0.174706	+	1.06228i
$417$	−6.54570	+	7.44179i	−0.320544	+	0.364426i
$418$	−1.10596	−	3.06053i	−0.0540942	−	0.149696i
$419$	−32.4856	+	18.7555i	−1.58702	+	0.916268i	−0.593229	+	0.805034i	$0.702147\pi$
$419$	−32.4856	+	18.7555i	−1.58702	+	0.916268i	−0.993794	+	0.111235i	$0.964520\pi$
$420$	−6.22755	+	3.36742i	−0.303873	+	0.164313i
$421$	2.91084	+	1.68057i	0.141865	+	0.0819061i	0.569253	−	0.822163i	$-0.307233\pi$
$421$	2.91084	+	1.68057i	0.141865	+	0.0819061i	−0.427387	+	0.904069i	$0.640566\pi$
$422$	−1.46865	+	8.21825i	−0.0714926	+	0.400058i
$423$	2.95774	+	22.9896i	0.143810	+	1.11779i
$424$	−0.0148245	+	0.0252715i	−0.000719943	+	0.00122729i
$425$	−1.85385	+	3.21097i	−0.0899250	+	0.155755i
$426$	−6.53036	+	16.6067i	−0.316397	+	0.804599i
$427$	−8.51045	+	4.91351i	−0.411849	+	0.237781i
$428$	−30.3293	+	5.20378i	−1.46602	+	0.251534i
$429$	35.7451	−	12.0751i	1.72579	−	0.582993i
$430$	6.78767	−	8.05146i	0.327331	−	0.388276i
$431$	−11.4968			−0.553779			−0.276890	−	0.960902i	$-0.589304\pi$
$431$	−11.4968			−0.553779			−0.276890	+	0.960902i	$0.589304\pi$
$432$	5.21518	−	20.1197i	0.250916	−	0.968009i
$433$	−16.2511			−0.780976			−0.390488	−	0.920608i	$-0.627694\pi$
$433$	−16.2511			−0.780976			−0.390488	+	0.920608i	$0.627694\pi$
$434$	−5.75490	+	6.82640i	−0.276244	+	0.327678i
$435$	−5.79186	+	1.95656i	−0.277698	+	0.0938098i
$436$	−10.9439	+	1.87771i	−0.524119	+	0.0899262i
$437$	−2.91024	+	1.68023i	−0.139216	+	0.0803761i
$438$	6.01479	−	15.2956i	0.287398	−	0.730853i
$439$	−12.6274	+	21.8713i	−0.602672	+	1.04386i	0.389743	+	0.920924i	$0.372564\pi$
$439$	−12.6274	+	21.8713i	−0.602672	+	1.04386i	−0.992415	+	0.122935i	$0.960769\pi$
$440$	−13.6913	−	8.03143i	−0.652705	−	0.382883i
$441$	7.81523	+	3.26419i	0.372154	+	0.155438i
$442$	−3.58044	+	20.0355i	−0.170304	+	0.952990i
$443$	18.3175	+	10.5756i	0.870292	+	0.502464i	0.867445	−	0.497532i	$-0.165760\pi$
$443$	18.3175	+	10.5756i	0.870292	+	0.502464i	0.00284696	+	0.999996i	$0.499094\pi$
$444$	0.779694	−	0.421603i	0.0370026	−	0.0200084i
$445$	−1.18244	+	0.682682i	−0.0560531	+	0.0323622i
$446$	0.301837	+	0.835279i	0.0142924	+	0.0395516i
$447$	26.7200	−	30.3780i	1.26381	−	1.43683i
$448$	16.3483	+	0.226183i	0.772383	+	0.0106862i
$449$	−2.48780			−0.117407			−0.0587034	−	0.998275i	$-0.518697\pi$
$449$	−2.48780			−0.117407			−0.0587034	+	0.998275i	$0.518697\pi$
$450$	3.56618	+	2.29833i	0.168112	+	0.108344i
$451$			60.6578i			2.85626i
$452$	−21.2356	+	17.6526i	−0.998840	+	0.830308i
$453$	1.68795	−	8.42101i	0.0793066	−	0.395653i
$454$	−25.8097	+	9.32662i	−1.21131	+	0.437720i
$455$	−3.96642	−	6.87004i	−0.185949	−	0.322073i
$456$	0.408402	−	1.96678i	0.0191252	−	0.0921029i
$457$	−13.8391	+	23.9700i	−0.647366	+	1.12127i	0.336384	+	0.941725i	$0.390796\pi$
$457$	−13.8391	+	23.9700i	−0.647366	+	1.12127i	−0.983750	+	0.179545i	$0.942537\pi$
$458$	−6.03554	+	33.7737i	−0.282022	+	1.57814i
$459$	10.7742	−	15.9715i	0.502897	−	0.745483i
$460$	−5.67709	+	15.3767i	−0.264696	+	0.716941i
$461$	−3.57552	−	2.06433i	−0.166528	−	0.0961453i	0.414419	−	0.910086i	$-0.363985\pi$
$461$	−3.57552	−	2.06433i	−0.166528	−	0.0961453i	−0.580948	+	0.813941i	$0.697318\pi$
$462$	−4.16880	−	27.7831i	−0.193950	−	1.29258i
$463$	4.92763	+	8.53490i	0.229006	+	0.396650i	0.957514	−	0.288387i	$-0.0931190\pi$
$463$	4.92763	+	8.53490i	0.229006	+	0.396650i	−0.728508	+	0.685038i	$0.759786\pi$
$464$	13.8806	+	2.57975i	0.644392	+	0.119762i
$465$	5.24624	+	1.05158i	0.243289	+	0.0487659i
$466$	7.32624	−	8.69030i	0.339382	−	0.402571i
$467$		−	19.7694i		−	0.914820i	−0.889256	−	0.457410i	$-0.848777\pi$
$467$		−	19.7694i		−	0.914820i	0.889256	−	0.457410i	$-0.151223\pi$
$468$	22.6985	+	5.21244i	1.04924	+	0.240945i
$469$		−	4.71845i		−	0.217878i
$470$	8.35414	+	7.04284i	0.385348	+	0.324862i
$471$	−10.9847	+	12.4885i	−0.506148	+	0.575438i
$472$	−3.38368	−	0.0234060i	−0.155747	−	0.00107735i
$473$	20.8946	+	36.1905i	0.960734	+	1.66404i
$474$	−15.7111	−	19.7279i	−0.721637	−	0.906135i
$475$	0.355098	+	0.205016i	0.0162930	+	0.00940676i
$476$	14.2171	+	5.24896i	0.651638	+	0.240586i
$477$	0.0188451	+	0.0247099i	0.000862860	+	0.00113139i
$478$	−33.6771	−	6.01827i	−1.54035	−	0.275269i
$479$	7.70431	−	13.3443i	0.352019	−	0.609715i	−0.634584	−	0.772854i	$-0.718829\pi$
$479$	7.70431	−	13.3443i	0.352019	−	0.609715i	0.986603	+	0.163139i	$0.0521619\pi$
$480$	−4.60062	−	8.65068i	−0.209989	−	0.394848i
$481$	0.496599	+	0.860134i	0.0226430	+	0.0392187i
$482$	2.74663	+	7.60080i	0.125106	+	0.346207i
$483$	−27.4852	+	9.28483i	−1.25062	+	0.422474i
$484$	31.5202	−	26.2019i	1.43274	−	1.19099i
$485$		−	13.6632i		−	0.620413i
$486$	−17.6515	−	13.2070i	−0.800687	−	0.599082i
$487$	−20.5271			−0.930172			−0.465086	−	0.885266i	$-0.653977\pi$
$487$	−20.5271			−0.930172			−0.465086	+	0.885266i	$0.653977\pi$
$488$	−6.71844	−	11.8248i	−0.304129	−	0.535285i
$489$	2.67072	+	7.90593i	0.120774	+	0.357518i
$490$	3.75493	−	1.35689i	0.169630	−	0.0612978i
$491$	−4.16978	+	2.40743i	−0.188180	+	0.108646i	−0.591130	−	0.806576i	$-0.701318\pi$
$491$	−4.16978	+	2.40743i	−0.188180	+	0.108646i	0.402950	+	0.915222i	$0.367985\pi$
$492$	−19.6184	+	31.8910i	−0.884466	+	1.43776i
$493$	11.3334	+	6.54331i	0.510428	+	0.294696i
$494$	2.21570	+	0.395958i	0.0996892	+	0.0178150i
$495$	−13.3870	+	10.2097i	−0.601700	+	0.458890i
$496$	−9.39211	−	8.02968i	−0.421718	−	0.360543i
$497$	−7.44431	+	12.8939i	−0.333923	+	0.578371i
$498$	32.3947	−	25.7989i	1.45164	−	1.15607i
$499$	27.3141	−	15.7698i	1.22275	−	0.705953i	0.257244	−	0.966347i	$-0.417186\pi$
$499$	27.3141	−	15.7698i	1.22275	−	0.705953i	0.965502	+	0.260394i	$0.0838524\pi$
$500$	1.97120	−	0.338210i	0.0881546	−	0.0151252i
$501$	8.87277	+	7.80437i	0.396406	+	0.348673i
$502$	21.0179	+	17.7188i	0.938074	+	0.790831i
$503$	30.8583			1.37590			0.687952	−	0.725756i	$-0.258510\pi$
$503$	30.8583			1.37590			0.687952	+	0.725756i	$0.258510\pi$
$504$	6.79406	−	15.9553i	0.302631	−	0.710706i
$505$	−5.48255			−0.243970
$506$	−49.7306	−	41.9247i	−2.21079	−	1.86378i
$507$	−0.703443	+	3.50941i	−0.0312410	+	0.155859i
$508$	−4.78168	−	27.8692i	−0.212153	−	1.23649i
$509$	−5.64695	+	3.26027i	−0.250297	+	0.144509i	−0.619900	−	0.784681i	$-0.712827\pi$
$509$	−5.64695	+	3.26027i	−0.250297	+	0.144509i	0.369603	+	0.929190i	$0.379494\pi$
$510$	−1.34765	−	8.98144i	−0.0596749	−	0.397705i
$511$	6.85657	−	11.8759i	0.303317	−	0.525360i
$512$	−0.469522	+	22.6225i	−0.0207502	+	0.999785i
$513$	−1.76627	−	1.19151i	−0.0779826	−	0.0526064i
$514$	34.0508	+	6.08506i	1.50192	+	0.268401i
$515$	15.4066	+	8.89502i	0.678897	+	0.391961i
$516$	−0.719631	+	25.7851i	−0.0316800	+	1.13513i
$517$	−37.5510	+	21.6801i	−1.65149	+	0.953489i
$518$	0.695532	−	0.251338i	0.0305599	−	0.0110432i
$519$	35.8753	+	7.19100i	1.57475	+	0.315650i
$520$	9.54557	−	5.42345i	0.418601	−	0.237834i
$521$	15.8417			0.694040			0.347020	−	0.937858i	$-0.387194\pi$
$521$	15.8417			0.694040			0.347020	+	0.937858i	$0.387194\pi$
$522$	8.11214	−	12.5871i	0.355059	−	0.550923i
$523$		−	6.25615i		−	0.273563i	−0.990601	−	0.136781i	$-0.956324\pi$
$523$		−	6.25615i		−	0.273563i	0.990601	−	0.136781i	$-0.0436758\pi$
$524$	14.8647	+	17.8819i	0.649367	+	0.781174i
$525$	2.65795	+	2.33790i	0.116003	+	0.102034i
$526$	9.71965	+	26.8973i	0.423797	+	1.17278i
$527$	−5.72686	−	9.91922i	−0.249466	−	0.432088i
$528$	38.4895	−	5.50332i	1.67504	−	0.239501i
$529$	−22.0839	+	38.2505i	−0.960170	+	1.66306i
$530$	0.0144209	+	0.00257709i	0.000626404	+	0.000111942i
$531$	−1.38322	+	3.31176i	−0.0600268	+	0.143718i
$532$	0.580477	−	1.57225i	0.0251669	−	0.0681657i
$533$	−36.3335	−	20.9771i	−1.57378	−	0.908620i
$534$	1.22393	−	3.11245i	0.0529645	−	0.134689i
$535$	7.69313	+	13.3249i	0.332603	+	0.576085i
$536$	6.52997	+	0.0451699i	0.282052	+	0.00195104i
$537$	−2.10015	−	6.21693i	−0.0906283	−	0.268280i
$538$	−12.1883	−	10.2752i	−0.525474	−	0.442994i
$539$			15.8436i			0.682432i
$540$	−10.3403	+	1.03803i	−0.444977	+	0.0446697i
$541$			6.08017i			0.261407i	0.991422	+	0.130704i	$0.0417236\pi$
$541$			6.08017i			0.261407i	−0.991422	+	0.130704i	$0.958276\pi$
$542$	10.0433	−	11.9133i	0.431398	−	0.511719i
$543$	4.10343	+	12.1471i	0.176095	+	0.521282i
$544$	−7.40025	+	19.6250i	−0.317283	+	0.841417i
$545$	2.77596	+	4.80811i	0.118909	+	0.205957i
$546$	18.0835	+	7.11108i	0.773902	+	0.304326i
$547$	26.0527	+	15.0415i	1.11393	+	0.643129i	0.939845	−	0.341601i	$-0.110969\pi$
$547$	26.0527	+	15.0415i	1.11393	+	0.643129i	0.174087	+	0.984730i	$0.444303\pi$
$548$	−0.233670	−	0.0862713i	−0.00998188	−	0.00368533i
$549$	−14.3072	+	1.84070i	−0.610617	+	0.0785594i
$550$	−1.39618	+	7.81276i	−0.0595334	+	0.333137i
$551$	0.723619	−	1.25334i	0.0308272	−	0.0533943i
$552$	−12.5864	−	38.1263i	−0.535711	−	1.62276i
$553$	−10.5210	−	18.2229i	−0.447398	−	0.774917i
$554$	11.7724	−	4.25408i	0.500160	−	0.180739i
$555$	−0.332777	−	0.292707i	−0.0141256	−	0.0124247i
$556$	−7.31565	−	8.80055i	−0.310253	−	0.373227i
$557$			14.4494i			0.612241i	0.951993	+	0.306121i	$0.0990311\pi$
$557$			14.4494i			0.612241i	−0.951993	+	0.306121i	$0.900969\pi$
$558$	−11.6570	+	5.99064i	−0.493480	+	0.253604i
$559$	−28.9037			−1.22250
$560$	−2.72502	−	7.70737i	−0.115153	−	0.325696i
$561$	35.3368	+	7.08308i	1.49192	+	0.299048i
$562$	12.6842	+	35.1012i	0.535051	+	1.48065i
$563$	38.6646	−	22.3230i	1.62952	−	0.940803i	0.645283	−	0.763943i	$-0.276739\pi$
$563$	38.6646	−	22.3230i	1.62952	−	0.940803i	0.984236	−	0.176860i	$-0.0565940\pi$
$564$	−26.7545	−	0.746684i	−1.12657	−	0.0314411i
$565$	11.9575	+	6.90365i	0.503055	+	0.290439i
$566$	2.13521	−	11.9482i	0.0897494	−	0.502220i
$567$	−12.9293	−	13.0826i	−0.542981	−	0.549419i
$568$	−17.7729	−	10.4258i	−0.745734	−	0.437455i
$569$	4.24556	−	7.35353i	0.177983	−	0.308276i	−0.763206	−	0.646155i	$-0.776376\pi$
$569$	4.24556	−	7.35353i	0.177983	−	0.308276i	0.941190	+	0.337879i	$0.109709\pi$
$570$	−0.993249	+	0.149035i	−0.0416026	+	0.00624240i
$571$	−27.1444	+	15.6718i	−1.13596	+	0.655845i	−0.945426	−	0.325836i	$-0.894354\pi$
$571$	−27.1444	+	15.6718i	−1.13596	+	0.655845i	−0.190531	+	0.981681i	$0.561021\pi$
$572$	7.36729	+	42.9390i	0.308042	+	1.79537i
$573$	5.93117	−	29.5901i	0.247778	−	1.23614i
$574$	−20.1357	+	23.8847i	−0.840448	+	0.996929i
$575$	8.19560			0.341780
$576$	22.0159	+	9.55518i	0.917328	+	0.398133i
$577$	−16.9472			−0.705522			−0.352761	−	0.935714i	$-0.614757\pi$
$577$	−16.9472			−0.705522			−0.352761	+	0.935714i	$0.614757\pi$
$578$	2.96516	−	3.51724i	0.123335	−	0.146298i
$579$	−13.0687	−	11.4951i	−0.543117	−	0.477719i
$580$	−1.19374	−	6.95749i	−0.0495673	−	0.288894i
$581$	29.9234	−	17.2763i	1.24143	−	0.716740i
$582$	20.8495	+	26.1800i	0.864240	+	1.08520i
$583$	−0.0290663	+	0.0503443i	−0.00120380	+	0.00208505i
$584$	16.3697	+	9.60264i	0.677384	+	0.397360i
$585$	−1.48591	−	11.5495i	−0.0614346	−	0.477512i
$586$	−6.28064	+	35.1452i	−0.259451	+	1.45183i
$587$	−4.34513	−	2.50866i	−0.179343	−	0.103543i	0.407641	−	0.913142i	$-0.366351\pi$
$587$	−4.34513	−	2.50866i	−0.179343	−	0.103543i	−0.586984	+	0.809599i	$0.699685\pi$
$588$	−5.12426	+	8.32981i	−0.211321	+	0.343516i
$589$	−1.09696	+	0.633328i	−0.0451993	+	0.0260958i
$590$	0.574990	+	1.59118i	0.0236720	+	0.0655078i
$591$	0.815699	+	2.41465i	0.0335534	+	0.0993256i
$592$	0.341174	+	0.964968i	0.0140222	+	0.0396599i
$593$	−2.59039			−0.106375			−0.0531873	−	0.998585i	$-0.516938\pi$
$593$	−2.59039			−0.106375			−0.0531873	+	0.998585i	$0.516938\pi$
$594$	10.0712	−	39.9908i	0.413228	−	1.64084i
$595$		−	7.57754i		−	0.310649i
$596$	29.8631	+	35.9245i	1.22324	+	1.47153i
$597$	−13.1788	+	4.45195i	−0.539371	+	0.182206i
$598$	42.3107	−	15.2894i	1.73021	−	0.625232i
$599$	3.18218	+	5.51169i	0.130020	+	0.225202i	0.923684	−	0.383155i	$-0.125162\pi$
$599$	3.18218	+	5.51169i	0.130020	+	0.225202i	−0.793664	+	0.608357i	$0.791829\pi$
$600$	−3.26091	+	3.65602i	−0.133126	+	0.149256i
$601$	16.3701	−	28.3538i	0.667750	−	1.15658i	−0.310782	−	0.950481i	$-0.600591\pi$
$601$	16.3701	−	28.3538i	0.667750	−	1.15658i	0.978532	−	0.206096i	$-0.0660759\pi$
$602$	−3.78615	+	21.1865i	−0.154312	+	0.863498i
$603$	2.66940	−	6.39118i	0.108707	−	0.260269i
$604$	9.30334	+	3.43481i	0.378548	+	0.139760i
$605$	−17.7486	−	10.2471i	−0.721582	−	0.416606i
$606$	10.5051	−	8.36617i	0.426741	−	0.339853i
$607$	1.24196	+	2.15113i	0.0504094	+	0.0873117i	0.890129	−	0.455708i	$-0.150614\pi$
$607$	1.24196	+	2.15113i	0.0504094	+	0.0873117i	−0.839720	+	0.543020i	$0.817281\pi$
$608$	2.17032	+	0.818386i	0.0880179	+	0.0331899i
$609$	8.25179	−	9.38145i	0.334380	−	0.380155i
$610$	−4.38300	+	5.19906i	−0.177463	+	0.210504i
$611$		−	29.9903i		−	1.21328i
$612$	16.2876	+	15.1529i	0.658386	+	0.612518i
$613$			34.7410i			1.40318i	0.712582	+	0.701589i	$0.247526\pi$
$613$			34.7410i			1.40318i	−0.712582	+	0.701589i	$0.752474\pi$
$614$	−17.6001	−	14.8376i	−0.710284	−	0.598795i
$615$	18.3560	+	3.67935i	0.740184	+	0.148366i
$616$	32.4395	+	0.224394i	1.30702	+	0.00904111i
$617$	−9.13651	−	15.8249i	−0.367822	−	0.637087i	0.621403	−	0.783491i	$-0.286563\pi$
$617$	−9.13651	−	15.8249i	−0.367822	−	0.637087i	−0.989225	+	0.146405i	$0.953230\pi$
$618$	−43.0941	+	6.46619i	−1.73350	+	0.260108i
$619$	−20.9262	−	12.0818i	−0.841096	−	0.485607i	0.0165408	−	0.999863i	$-0.494735\pi$
$619$	−20.9262	−	12.0818i	−0.841096	−	0.485607i	−0.857637	+	0.514256i	$0.828068\pi$
$620$	−2.13987	+	5.79593i	−0.0859391	+	0.232770i
$621$	−42.4817	−	2.97304i	−1.70473	−	0.119304i
$622$	−9.76082	−	1.74431i	−0.391373	−	0.0699405i
$623$	1.39522	−	2.41659i	0.0558982	−	0.0968185i
$624$	−10.0143	+	24.9581i	−0.400892	+	0.999122i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	3.24439	+	8.97826i	0.129672	+	0.358843i
$627$	0.783311	−	3.90787i	0.0312824	−	0.156065i
$628$	−12.2768	−	14.7687i	−0.489897	−	0.589335i
$629$			0.948713i			0.0378277i
$630$	−8.66045	−	0.423710i	−0.345040	−	0.0168810i
$631$	−19.9318			−0.793471			−0.396735	−	0.917933i	$-0.629857\pi$
$631$	−19.9318			−0.793471			−0.396735	+	0.917933i	$0.629857\pi$
$632$	25.3198	−	14.3858i	1.00717	−	0.572236i
$633$	−6.75295	+	7.67741i	−0.268406	+	0.305150i
$634$	−37.2194	+	13.4497i	−1.47817	+	0.534154i
$635$	−12.2440	+	7.06910i	−0.485890	+	0.280529i
$636$	−0.0315644	+	0.0170678i	−0.00125161	+	0.000676782i
$637$	−9.49017	−	5.47915i	−0.376014	−	0.217092i
$638$	27.5758	+	4.92794i	1.09173	+	0.195099i
$639$	−17.3779	+	13.2534i	−0.687460	+	0.524295i
$640$	10.6925	−	3.69743i	0.422657	−	0.146154i
$641$	−11.5190	+	19.9515i	−0.454973	+	0.788036i	−0.998687	−	0.0512347i	$-0.983684\pi$
$641$	−11.5190	+	19.9515i	−0.454973	+	0.788036i	0.543714	+	0.839271i	$0.317018\pi$
$642$	−35.0741	−	13.7924i	−1.38426	−	0.544342i
$643$	28.6693	−	16.5522i	1.13061	−	0.652757i	0.186520	−	0.982451i	$-0.440279\pi$
$643$	28.6693	−	16.5522i	1.13061	−	0.652757i	0.944088	+	0.329694i	$0.106946\pi$
$644$	−5.66487	−	33.0167i	−0.223227	−	1.30104i
$645$	12.2192	−	4.12779i	0.481131	−	0.162532i
$646$	1.64380	+	1.38578i	0.0646744	+	0.0545229i
$647$	15.0233			0.590625			0.295313	−	0.955401i	$-0.404576\pi$
$647$	15.0233			0.590625			0.295313	+	0.955401i	$0.404576\pi$
$648$	18.2291	−	17.7679i	0.716107	−	0.697990i
$649$	−6.71384			−0.263541
$650$	−4.19694	−	3.53817i	−0.164617	−	0.138778i
$651$	−10.3600	+	3.49973i	−0.406041	+	0.137165i
$652$	−9.49702	+	1.62946i	−0.371932	+	0.0638146i
$653$	26.9752	−	15.5741i	1.05562	−	0.609462i	0.131402	−	0.991329i	$-0.458052\pi$
$653$	26.9752	−	15.5741i	1.05562	−	0.609462i	0.924217	+	0.381867i	$0.124719\pi$
$654$	−12.6560	−	4.97680i	−0.494889	−	0.194608i
$655$	5.81335	−	10.0690i	0.227146	−	0.393429i
$656$	−32.8618	−	28.0949i	−1.28304	−	1.09692i
$657$	16.0059	−	12.2070i	0.624450	−	0.476241i
$658$	−21.9830	−	3.92848i	−0.856986	−	0.153148i
$659$	6.31737	+	3.64734i	0.246090	+	0.142080i	0.617973	−	0.786200i	$-0.287954\pi$
$659$	6.31737	+	3.64734i	0.246090	+	0.142080i	−0.371883	+	0.928280i	$0.621288\pi$
$660$	−9.24676	−	17.1006i	−0.359930	−	0.665638i
$661$	22.3769	−	12.9193i	0.870359	−	0.502502i	0.00289133	−	0.999996i	$-0.499080\pi$
$661$	22.3769	−	12.9193i	0.870359	−	0.502502i	0.867467	+	0.497494i	$0.165746\pi$
$662$	16.4570	−	5.94694i	0.639621	−	0.231134i
$663$	−16.4632	+	18.7169i	−0.639376	+	0.726905i
$664$	23.6225	+	41.5770i	0.916732	+	1.61350i
$665$	−0.837993			−0.0324960
$666$	1.08429	+	0.0530488i	0.0420155	+	0.00205560i
$667$		−	28.9270i		−	1.12006i
$668$	−10.4928	+	8.72238i	−0.405979	+	0.337479i
$669$	−0.213781	+	1.06653i	−0.00826524	+	0.0412346i
$670$	−1.10964	−	3.07072i	−0.0428691	−	0.118632i
$671$	−13.4923	−	23.3693i	−0.520863	−	0.902160i
$672$	16.9826	+	10.6098i	0.655116	+	0.409282i
$673$	2.00690	−	3.47606i	0.0773604	−	0.133992i	−0.824750	−	0.565498i	$-0.808684\pi$
$673$	2.00690	−	3.47606i	0.0773604	−	0.133992i	0.902110	+	0.431505i	$0.142017\pi$
$674$	14.0400	+	2.50902i	0.540801	+	0.0966440i
$675$	2.27758	+	4.67040i	0.0876640	+	0.179764i
$676$	−3.87712	−	1.43144i	−0.149120	−	0.0550553i
$677$	−35.7857	−	20.6609i	−1.37536	−	0.794062i	−0.383760	−	0.923433i	$-0.625371\pi$
$677$	−35.7857	−	20.6609i	−1.37536	−	0.794062i	−0.991596	+	0.129371i	$0.958704\pi$
$678$	−33.4464	+	5.01858i	−1.28450	+	0.192737i
$679$	13.9619	+	24.1827i	0.535809	+	0.928049i
$680$	10.4867	+	0.0725400i	0.402147	+	0.00278178i
$681$	−32.9553	−	6.60572i	−1.26285	−	0.253132i
$682$	−18.7450	−	15.8027i	−0.717782	−	0.605116i
$683$			3.18123i			0.121726i	0.998146	+	0.0608631i	$0.0193853\pi$
$683$			3.18123i			0.121726i	−0.998146	+	0.0608631i	$0.980615\pi$
$684$	1.67574	−	1.80123i	0.0640736	−	0.0688716i
$685$			0.124544i			0.00475856i
$686$	−18.2999	+	21.7071i	−0.698692	+	0.828781i
$687$	−27.7519	+	31.5511i	−1.05880	+	1.20375i
$688$	−29.2842	−	5.44255i	−1.11645	−	0.207495i
$689$	−0.0201039	−	0.0348209i	−0.000765896	−	0.00132657i
$690$	−15.7036	+	12.5062i	−0.597825	+	0.476102i
$691$	32.7915	+	18.9322i	1.24745	+	0.720215i	0.970600	−	0.240699i	$-0.0773767\pi$
$691$	32.7915	+	18.9322i	1.24745	+	0.720215i	0.276848	+	0.960914i	$0.410710\pi$
$692$	−14.6330	+	39.6342i	−0.556263	+	1.50667i
$693$	13.2610	−	31.7500i	0.503744	−	1.20608i
$694$	2.94951	−	16.5049i	0.111962	−	0.626517i
$695$	−2.86104	+	4.95546i	−0.108525	+	0.187971i
$696$	12.9042	+	11.5096i	0.489132	+	0.436272i
$697$	−20.0376	−	34.7061i	−0.758978	−	1.31459i
$698$	−8.81253	+	3.18451i	−0.333559	+	0.120535i
$699$	13.1887	−	4.45531i	0.498844	−	0.168515i
$700$	−3.14326	+	2.61290i	−0.118804	+	0.0987583i
$701$			6.36929i			0.240565i	0.992740	+	0.120282i	$0.0383800\pi$
$701$			6.36929i			0.240565i	−0.992740	+	0.120282i	$0.961620\pi$
$702$	20.4712	+	19.8625i	0.772636	+	0.749662i
$703$	0.104917			0.00395703
$704$	−0.621088	+	44.8915i	−0.0234081	+	1.69191i
$705$	4.28297	+	12.6786i	0.161306	+	0.477502i
$706$	10.6511	+	29.4749i	0.400859	+	1.10930i
$707$	9.70369	−	5.60243i	0.364945	−	0.210701i
$708$	−3.52982	−	2.17144i	−0.132659	−	0.0816078i
$709$	−29.0494	−	16.7717i	−1.09097	−	0.629875i	−0.157139	−	0.987577i	$-0.550227\pi$
$709$	−29.0494	−	16.7717i	−1.09097	−	0.629875i	−0.933836	+	0.357702i	$0.883560\pi$
$710$	−1.81241	+	10.1419i	−0.0680187	+	0.380619i
$711$	−3.94139	−	30.6352i	−0.147814	−	1.14891i
$712$	3.33101	+	1.95401i	0.124835	+	0.0732294i
$713$	−12.6588	+	21.9257i	−0.474076	+	0.821123i
$714$	11.5630	+	14.5193i	0.432736	+	0.543372i
$715$	18.8648	−	10.8916i	0.705504	−	0.407323i
$716$	7.46811	−	1.28135i	0.279096	−	0.0478862i
$717$	−31.4608	−	27.6725i	−1.17492	−	1.03345i
$718$	8.87822	−	10.5312i	0.331332	−	0.393023i
$719$	34.4772			1.28578			0.642891	−	0.765958i	$-0.277735\pi$
$719$	34.4772			1.28578			0.642891	+	0.765958i	$0.277735\pi$
$720$	0.669289	−	11.9813i	0.0249429	−	0.446517i
$721$	−36.3580			−1.35404
$722$	−17.1659	+	20.3620i	−0.638849	+	0.757795i
$723$	−1.94534	+	9.70515i	−0.0723481	+	0.360938i
$724$	−14.5917	+	2.50359i	−0.542297	+	0.0930452i
$725$	−3.05670	+	1.76479i	−0.113523	+	0.0655426i
$726$	49.6448	−	7.44912i	1.84249	−	0.276463i
$727$	7.72951	−	13.3879i	0.286672	−	0.496530i	−0.686341	−	0.727279i	$-0.740784\pi$
$727$	7.72951	−	13.3879i	0.286672	−	0.496530i	0.973013	+	0.230749i	$0.0741178\pi$
$728$	−11.3529	+	19.3534i	−0.420766	+	0.717283i
$729$	−10.1115	−	25.0351i	−0.374501	−	0.927226i
$730$	1.66932	−	9.34120i	0.0617844	−	0.345733i
$731$	−23.9102	−	13.8046i	−0.884351	−	0.510580i
$732$	0.464687	−	16.6502i	0.0171753	−	0.615410i
$733$	−11.2570	+	6.49924i	−0.415787	+	0.240055i	−0.693273	−	0.720675i	$-0.743832\pi$
$733$	−11.2570	+	6.49924i	−0.415787	+	0.240055i	0.277486	+	0.960730i	$0.410499\pi$
$734$	−4.20597	−	11.6392i	−0.155245	−	0.429612i
$735$	4.79451	+	0.961034i	0.176848	+	0.0354483i
$736$	45.7467	−	7.52367i	1.68625	−	0.277326i
$737$	12.9566			0.477264
$738$	−40.7864	+	20.9605i	−1.50137	+	0.771567i
$739$		−	25.3703i		−	0.933261i	−0.884452	−	0.466630i	$-0.845468\pi$
$739$		−	25.3703i		−	0.933261i	0.884452	−	0.466630i	$-0.154532\pi$
$740$	0.393538	−	0.327137i	0.0144667	−	0.0120258i
$741$	2.06989	+	1.82064i	0.0760392	+	0.0668831i
$742$	−0.0281573	+	0.0101750i	−0.00103369	+	0.000373534i
$743$	12.0091	+	20.8004i	0.440571	+	0.763091i	0.997732	−	0.0673134i	$-0.0214427\pi$
$743$	12.0091	+	20.8004i	0.440571	+	0.763091i	−0.557161	+	0.830404i	$0.688109\pi$
$744$	−4.74418	−	14.3709i	−0.173930	−	0.526864i
$745$	11.6790	−	20.2286i	0.427885	−	0.741118i
$746$	1.99179	−	11.1457i	0.0729245	−	0.408071i
$747$	50.3052	−	6.47205i	1.84057	−	0.236800i
$748$	−14.4134	+	39.0393i	−0.527005	+	1.42742i
$749$	−27.2324	−	15.7227i	−0.995052	−	0.574493i
$750$	2.27957	+	0.896409i	0.0832382	+	0.0327322i
$751$	25.6946	+	44.5043i	0.937609	+	1.62399i	0.769915	+	0.638147i	$0.220299\pi$
$751$	25.6946	+	44.5043i	0.937609	+	1.62399i	0.167694	+	0.985839i	$0.446368\pi$
$752$	5.64715	−	30.3851i	0.205930	−	1.10803i
$753$	10.7754	+	31.8976i	0.392676	+	1.16241i
$754$	−12.4882	+	14.8134i	−0.454795	+	0.539473i
$755$		−	4.95858i		−	0.180461i
$756$	17.2408	−	12.4036i	0.627043	−	0.451116i
$757$		−	53.7794i		−	1.95465i	−0.211756	−	0.977323i	$-0.567918\pi$
$757$		−	53.7794i		−	1.95465i	0.211756	−	0.977323i	$-0.432082\pi$
$758$	4.94352	+	4.16757i	0.179557	+	0.151373i
$759$	−25.4957	−	75.4730i	−0.925435	−	2.73950i
$760$	0.00802213	−	1.15972i	0.000290993	−	0.0420673i
$761$	−1.45328	−	2.51716i	−0.0526815	−	0.0912470i	0.838482	−	0.544929i	$-0.183443\pi$
$761$	−1.45328	−	2.51716i	−0.0526815	−	0.0912470i	−0.891164	+	0.453682i	$0.850110\pi$
$762$	12.6736	−	32.2291i	0.459117	−	1.16754i
$763$	−9.82646	−	5.67331i	−0.355742	−	0.205388i
$764$	32.6905	+	12.0694i	1.18270	+	0.436654i
$765$	4.28689	−	10.2638i	0.154993	−	0.371089i
$766$	22.2875	+	3.98289i	0.805280	+	0.143908i
$767$	2.32183	−	4.02153i	0.0838365	−	0.145209i
$768$	−14.8457	+	23.4010i	−0.535698	+	0.844409i
$769$	−22.8846	−	39.6373i	−0.825241	−	1.42936i	−0.901735	−	0.432289i	$-0.857706\pi$
$769$	−22.8846	−	39.6373i	−0.825241	−	1.42936i	0.0764942	−	0.997070i	$-0.475627\pi$
$770$	−5.51245	−	15.2547i	−0.198655	−	0.549741i
$771$	31.8099	+	27.9796i	1.14561	+	1.00766i
$772$	15.4549	−	12.8472i	0.556233	−	0.462381i
$773$			28.5972i			1.02857i	0.857620	+	0.514284i	$0.171942\pi$
$773$			28.5972i			1.02857i	−0.857620	+	0.514284i	$0.828058\pi$
$774$	−17.1144	+	26.5553i	−0.615163	+	0.954511i
$775$	3.08917			0.110966
$776$	−33.6007	+	19.0907i	−1.20619	+	0.685316i
$777$	0.888096	+	0.178014i	0.0318603	+	0.00638622i
$778$	4.88036	−	1.76357i	0.174969	−	0.0632271i
$779$	−3.83812	+	2.21594i	−0.137515	+	0.0793942i
$780$	13.4409	+	0.375118i	0.481260	+	0.0134314i
$781$	−35.4061	−	20.4417i	−1.26693	−	0.731461i
$782$	42.3033	+	7.55983i	1.51276	+	0.270339i
$783$	16.4845	−	8.03889i	0.589109	−	0.287286i
$784$	−8.58339	−	7.33828i	−0.306550	−	0.262081i
$785$	−4.80126	+	8.31603i	−0.171364	+	0.296812i
$786$	4.22599	+	28.1642i	0.150736	+	1.00458i
$787$	−24.5602	+	14.1798i	−0.875476	+	0.505456i	−0.869164	−	0.494524i	$-0.835342\pi$
$787$	−24.5602	+	14.1798i	−0.875476	+	0.505456i	−0.00631185	+	0.999980i	$0.502009\pi$
$788$	−2.90061	+	0.497675i	−0.103330	+	0.0177289i
$789$	−6.88408	+	34.3441i	−0.245080	+	1.22268i
$790$	−11.1324	−	9.38506i	−0.396075	−	0.333905i
$791$	−28.2184			−1.00333
$792$	43.8125	+	18.6562i	1.55681	+	0.662917i
$793$	18.6640			0.662777
$794$	9.26569	+	7.81131i	0.328827	+	0.277213i
$795$	0.0134719	+	0.0118497i	0.000477798	+	0.000420265i
$796$	−2.71623	−	15.8310i	−0.0962741	−	0.561116i
$797$	5.00819	−	2.89148i	0.177399	−	0.102421i	−0.408671	−	0.912682i	$-0.634008\pi$
$797$	5.00819	−	2.89148i	0.177399	−	0.102421i	0.586070	+	0.810260i	$0.300674\pi$
$798$	1.60568	−	1.27875i	0.0568404	−	0.0452671i
$799$	14.3235	−	24.8091i	0.506730	−	0.877682i
$800$	−3.58596	−	4.37503i	−0.126783	−	0.154681i
$801$	3.25698	−	2.48396i	0.115080	−	0.0877663i
$802$	40.7364	+	7.27981i	1.43845	+	0.257059i
$803$	32.6107	+	18.8278i	1.15081	+	0.664419i
$804$	6.81199	+	4.19054i	0.240240	+	0.147789i
$805$	−14.5056	+	8.37479i	−0.511254	+	0.295172i
$806$	15.9482	−	5.76306i	0.561751	−	0.202995i
$807$	−6.24865	−	18.4974i	−0.219963	−	0.651140i
$808$	7.66042	+	13.4828i	0.269493	+	0.474322i
$809$	−35.2588			−1.23963			−0.619817	−	0.784747i	$-0.712793\pi$
$809$	−35.2588			−1.23963			−0.619817	+	0.784747i	$0.712793\pi$
$810$	−11.4909	−	5.47345i	−0.403750	−	0.192318i
$811$			14.9861i			0.526232i	0.964764	+	0.263116i	$0.0847501\pi$
$811$			14.9861i			0.526232i	−0.964764	+	0.263116i	$0.915250\pi$
$812$	9.22243	+	11.0944i	0.323644	+	0.389336i
$813$	18.0801	−	6.10766i	0.634095	−	0.214205i
$814$	0.690163	+	1.90990i	0.0241902	+	0.0669418i
$815$	2.40895	+	4.17242i	0.0843818	+	0.146154i
$816$	−20.2043	+	15.8633i	−0.707292	+	0.555328i
$817$	−1.52663	+	2.64421i	−0.0534102	+	0.0925091i
$818$	21.7415	+	3.88532i	0.760173	+	0.135847i
$819$	14.4319	+	18.9233i	0.504292	+	0.661232i
$820$	−7.48713	+	20.2793i	−0.261462	+	0.708182i
$821$	39.7038	+	22.9230i	1.38567	+	0.800019i	0.992824	−	0.119584i	$-0.0381560\pi$
$821$	39.7038	+	22.9230i	1.38567	+	0.800019i	0.392850	+	0.919603i	$0.371489\pi$
$822$	−0.190049	−	0.238638i	−0.00662871	−	0.00832345i
$823$	−0.349257	−	0.604932i	−0.0121743	−	0.0210866i	0.859874	−	0.510506i	$-0.170542\pi$
$823$	−0.349257	−	0.604932i	−0.0121743	−	0.0210866i	−0.872048	+	0.489420i	$0.837209\pi$
$824$	0.348056	−	50.3166i	0.0121251	−	1.75286i
$825$	−6.41975	+	7.29861i	−0.223507	+	0.254105i
$826$	−2.64366	−	2.22870i	−0.0919845	−	0.0775463i
$827$			7.65412i			0.266160i	0.991105	+	0.133080i	$0.0424867\pi$
$827$			7.65412i			0.266160i	−0.991105	+	0.133080i	$0.957513\pi$
$828$	11.0057	−	47.9262i	0.382473	−	1.66555i
$829$		−	31.4612i		−	1.09269i	−0.837560	−	0.546346i	$-0.816019\pi$
$829$		−	31.4612i		−	1.09269i	0.837560	−	0.546346i	$-0.183981\pi$
$830$	15.4110	−	18.2803i	0.534922	−	0.634518i
$831$	15.0317	+	3.01301i	0.521442	+	0.104520i
$832$	−26.6748	−	15.8968i	−0.924783	−	0.551121i
$833$	−5.23375	−	9.06511i	−0.181339	−	0.314088i
$834$	−2.07982	−	13.8610i	−0.0720182	−	0.479967i
$835$	5.90835	+	3.41119i	0.204467	+	0.118049i
$836$	4.31732	+	1.59396i	0.149318	+	0.0551283i
$837$	−16.0126	−	1.12063i	−0.553478	−	0.0387346i
$838$	9.33224	−	52.2214i	0.322377	−	1.80396i
$839$	8.37288	−	14.5022i	0.289064	−	0.500673i	−0.684523	−	0.728991i	$-0.739989\pi$
$839$	8.37288	−	14.5022i	0.289064	−	0.500673i	0.973587	+	0.228318i	$0.0733227\pi$
$840$	2.03560	−	9.80307i	0.0702350	−	0.338238i
$841$	−8.27104	−	14.3259i	−0.285208	−	0.493995i
$842$	−4.47045	+	1.61545i	−0.154062	+	0.0556720i
$843$	−8.98377	+	44.8192i	−0.309417	+	1.54366i
$844$	−7.54728	−	9.07920i	−0.259788	−	0.312519i
$845$			2.06646i			0.0710885i
$846$	−27.5536	−	17.7577i	−0.947313	−	0.610524i
$847$	41.8848			1.43918
$848$	−0.0138118	−	0.0390649i	−0.000474299	−	0.00134149i
$849$	9.81784	−	11.1619i	0.336947	−	0.383075i
$850$	−1.78201	−	4.93139i	−0.0611225	−	0.169145i
$851$	1.81611	−	1.04853i	0.0622553	−	0.0359431i
$852$	−12.0034	−	22.1986i	−0.411230	−	0.760511i
$853$	6.42131	+	3.70735i	0.219862	+	0.126937i	0.605886	−	0.795551i	$-0.292819\pi$
$853$	6.42131	+	3.70735i	0.219862	+	0.126937i	−0.386025	+	0.922488i	$0.626152\pi$
$854$	2.44483	−	13.6808i	0.0836602	−	0.468146i
$855$	−1.13507	−	0.474084i	−0.0388185	−	0.0162133i
$856$	22.0196	−	37.5370i	0.752615	−	1.28299i
$857$	−26.8596	+	46.5221i	−0.917505	+	1.58917i	−0.114314	+	0.993445i	$0.536467\pi$
$857$	−26.8596	+	46.5221i	−0.917505	+	1.58917i	−0.803191	+	0.595721i	$0.796866\pi$
$858$	−19.5267	+	49.6564i	−0.666629	+	1.69524i
$859$	−28.1496	+	16.2522i	−0.960453	+	0.554518i	−0.896312	−	0.443423i	$-0.853764\pi$
$859$	−28.1496	+	16.2522i	−0.960453	+	0.554518i	−0.0641406	+	0.997941i	$0.520431\pi$
$860$	2.51845	+	14.6784i	0.0858786	+	0.500528i
$861$	−36.2484	+	12.2451i	−1.23534	+	0.417313i
$862$	10.4797	−	12.4309i	0.356939	−	0.423397i
$863$	−23.3591			−0.795151			−0.397576	−	0.917569i	$-0.630148\pi$
$863$	−23.3591			−0.795151			−0.397576	+	0.917569i	$0.630148\pi$
$864$	17.0006	+	23.9787i	0.578373	+	0.815772i
$865$	21.1246			0.718258
$866$	14.8134	−	17.5715i	0.503380	−	0.597103i
$867$	5.33791	−	1.80321i	0.181285	−	0.0612402i
$868$	−2.13526	−	12.4450i	−0.0724755	−	0.422411i
$869$	50.0392	−	28.8902i	1.69746	−	0.980031i
$870$	3.16395	−	8.04593i	0.107268	−	0.272783i
$871$	−4.48076	+	7.76091i	−0.151825	+	0.262968i
$872$	7.94548	−	13.5447i	0.269068	−	0.458683i
$873$	5.23043	+	40.6545i	0.177023	+	1.37594i
$874$	0.836034	−	4.67828i	0.0282793	−	0.158245i
$875$	1.76992	+	1.02186i	0.0598342	+	0.0345453i
$876$	11.0557	+	20.4460i	0.373539	+	0.690806i
$877$	43.2829	−	24.9894i	1.46156	−	0.843831i	0.462475	−	0.886632i	$-0.346961\pi$
$877$	43.2829	−	24.9894i	1.46156	−	0.843831i	0.999084	+	0.0428009i	$0.0136281\pi$
$878$	−12.1380	−	33.5898i	−0.409639	−	1.13360i
$879$	−28.8788	+	32.8323i	−0.974059	+	1.10741i
$880$	21.1640	−	7.48276i	0.713440	−	0.252244i
$881$	−21.6407			−0.729094			−0.364547	−	0.931185i	$-0.618776\pi$
$881$	−21.6407			−0.729094			−0.364547	+	0.931185i	$0.618776\pi$
$882$	−10.6533	+	5.47481i	−0.358714	+	0.184347i
$883$			0.390670i			0.0131471i	0.999978	+	0.00657355i	$0.00209244\pi$
$883$			0.390670i			0.0131471i	−0.999978	+	0.00657355i	$0.997908\pi$
$884$	−18.3997	−	22.1344i	−0.618848	−	0.744460i
$885$	−0.407245	+	2.03171i	−0.0136894	+	0.0682952i
$886$	−28.1320	+	10.1658i	−0.945112	+	0.341527i
$887$	3.05072	+	5.28400i	0.102433	+	0.177419i	0.912687	−	0.408660i	$-0.134004\pi$
$887$	3.05072	+	5.28400i	0.102433	+	0.177419i	−0.810253	+	0.586080i	$0.800671\pi$
$888$	−0.254859	+	1.22735i	−0.00855251	+	0.0411872i
$889$	14.4473	−	25.0235i	0.484548	−	0.839261i
$890$	0.339684	−	1.90080i	0.0113862	−	0.0637151i
$891$	35.9243	−	35.5033i	1.20351	−	1.18941i
$892$	−1.17828	−	0.435023i	−0.0394518	−	0.0145657i
$893$	−2.74361	−	1.58403i	−0.0918115	−	0.0530074i
$894$	8.48998	+	56.5816i	0.283947	+	1.89237i
$895$	−1.89431	−	3.28104i	−0.0633198	−	0.109673i
$896$	−15.1466	+	17.4704i	−0.506011	+	0.583645i
$897$	54.0248	+	10.8290i	1.80384	+	0.361569i
$898$	2.26772	−	2.68994i	0.0756748	−	0.0897645i
$899$		−	10.9035i		−	0.363651i
$900$	−5.73578	+	1.76093i	−0.191193	+	0.0586978i
$901$		−	0.0384069i		−	0.00127952i
$902$	−65.5863	−	55.2916i	−2.18378	−	1.84101i
$903$	−17.4090	+	19.7922i	−0.579335	+	0.658645i
$904$	0.270135	−	39.0520i	0.00898457	−	1.29885i
$905$	3.70124	+	6.41073i	0.123033	+	0.213100i
$906$	7.56661	+	9.50113i	0.251384	+	0.315654i
$907$	33.5718	+	19.3827i	1.11473	+	0.643592i	0.940052	−	0.341032i	$-0.110777\pi$
$907$	33.5718	+	19.3827i	1.11473	+	0.643592i	0.174683	+	0.984625i	$0.444110\pi$
$908$	13.4420	−	36.4083i	0.446088	−	1.20825i
$909$	16.3132	−	2.09879i	0.541075	−	0.0696124i
$910$	11.0438	+	1.97358i	0.366098	+	0.0654236i
$911$	24.4994	−	42.4341i	0.811700	−	1.40591i	−0.0999737	−	0.994990i	$-0.531876\pi$
$911$	24.4994	−	42.4341i	0.811700	−	1.40591i	0.911674	−	0.410915i	$-0.134791\pi$
$912$	1.75431	+	2.23437i	0.0580911	+	0.0739875i
$913$	47.4398	+	82.1681i	1.57003	+	2.71937i
$914$	−13.3028	−	36.8130i	−0.440018	−	1.21767i
$915$	−7.89030	+	2.66544i	−0.260845	+	0.0881167i
$916$	−31.0163	−	37.3118i	−1.02481	−	1.23282i
$917$			23.7618i			0.784684i
$918$	7.44810	+	26.2082i	0.245824	+	0.864998i
$919$	21.0589			0.694670			0.347335	−	0.937741i	$-0.387087\pi$
$919$	21.0589			0.694670			0.347335	+	0.937741i	$0.387087\pi$
$920$	−11.4512	−	20.1547i	−0.377534	−	0.664482i
$921$	−9.02318	−	26.7107i	−0.297324	−	0.880146i
$922$	5.49126	−	1.98433i	0.180845	−	0.0653504i
$923$	24.4888	−	14.1386i	0.806058	−	0.465378i
$924$	33.8405	+	20.8177i	1.11327	+	0.684852i
$925$	−0.221595	−	0.127938i	−0.00728601	−	0.00420658i
$926$	−13.7201	−	2.45185i	−0.450870	−	0.0805728i
$927$	−49.2471	−	20.5691i	−1.61749	−	0.675577i
$928$	−15.4420	+	12.6569i	−0.506909	+	0.415484i
$929$	4.72662	−	8.18675i	0.155075	−	0.268599i	−0.778011	−	0.628251i	$-0.783771\pi$
$929$	4.72662	−	8.18675i	0.155075	−	0.268599i	0.933087	+	0.359652i	$0.117105\pi$
$930$	−5.91916	+	4.71396i	−0.194097	+	0.154577i
$931$	−1.00250	+	0.578795i	−0.0328557	+	0.0189692i
$932$	2.71828	+	15.8430i	0.0890403	+	0.518955i
$933$	−9.11846	−	8.02047i	−0.298525	−	0.262579i
$934$	21.3757	+	18.0205i	0.699435	+	0.589649i
$935$	20.8075			0.680480
$936$	−26.3265	+	19.7915i	−0.860507	+	0.646905i
$937$	28.0651			0.916847			0.458424	−	0.888734i	$-0.348414\pi$
$937$	28.0651			0.916847			0.458424	+	0.888734i	$0.348414\pi$
$938$	5.10183	+	4.30103i	0.166581	+	0.140434i
$939$	−2.29789	+	11.4640i	−0.0749888	+	0.374112i
$940$	−15.2302	+	2.61313i	−0.496753	+	0.0852309i
$941$	−15.9402	+	9.20309i	−0.519636	+	0.300012i	−0.736786	−	0.676126i	$-0.763657\pi$
$941$	−15.9402	+	9.20309i	−0.519636	+	0.300012i	0.217150	+	0.976138i	$0.430324\pi$
$942$	−3.49026	−	23.2609i	−0.113719	−	0.757881i
$943$	−44.2916	+	76.7152i	−1.44233	+	2.49819i
$944$	3.10965	−	3.63728i	0.101210	−	0.118383i
$945$	−8.80365	−	5.93886i	−0.286383	−	0.193191i
$946$	−58.1772	−	10.3966i	−1.89150	−	0.338022i
$947$	−17.6263	−	10.1765i	−0.572777	−	0.330693i	0.185481	−	0.982648i	$-0.440616\pi$
$947$	−17.6263	−	10.1765i	−0.572777	−	0.330693i	−0.758258	+	0.651955i	$0.773949\pi$
$948$	35.6521	+	0.995006i	1.15793	+	0.0323163i
$949$	−22.5554	+	13.0224i	−0.732178	+	0.422723i
$950$	−0.545357	+	0.197071i	−0.0176937	+	0.00639383i
$951$	−47.5240	−	9.52592i	−1.54107	−	0.308899i
$952$	−18.6348	+	10.5876i	−0.603957	+	0.343146i
$953$	−29.4123			−0.952759			−0.476379	−	0.879240i	$-0.658051\pi$
$953$	−29.4123			−0.952759			−0.476379	+	0.879240i	$0.658051\pi$
$954$	−0.0438956	−	0.00214758i	−0.00142117	−	6.95305e-5i
$955$		−	17.4237i		−	0.563817i
$956$	37.2051	−	30.9275i	1.20330	−	1.00027i
$957$	25.7610	+	22.6590i	0.832735	+	0.732462i
$958$	7.40576	+	20.4941i	0.239269	+	0.662133i
$959$	−0.127267	−	0.220432i	−0.00410965	−	0.00711813i
$960$	13.5472	+	2.91096i	0.437234	+	0.0939509i
$961$	10.7285	−	18.5823i	0.346081	−	0.599430i
$962$	−1.38269	−	0.247094i	−0.0445797	−	0.00796663i
$963$	−27.9916	−	36.7028i	−0.902018	−	1.18273i
$964$	−10.7220	−	3.95859i	−0.345333	−	0.127498i
$965$	−8.70241	−	5.02434i	−0.280141	−	0.161739i
$966$	15.0145	−	38.1819i	0.483083	−	1.22848i
$967$	10.7895	+	18.6880i	0.346968	+	0.600967i	0.985709	−	0.168455i	$-0.0538778\pi$
$967$	10.7895	+	18.6880i	0.346968	+	0.600967i	−0.638741	+	0.769422i	$0.720544\pi$
$968$	−0.400964	+	57.9652i	−0.0128875	+	1.86307i
$969$	0.842737	+	2.49469i	0.0270726	+	0.0801411i
$970$	14.7733	+	12.4545i	0.474343	+	0.399889i
$971$		−	27.0325i		−	0.867513i	−0.901030	−	0.433756i	$-0.857188\pi$
$971$		−	27.0325i		−	0.867513i	0.901030	−	0.433756i	$-0.142812\pi$
$972$	30.3700	−	7.04704i	0.974119	−	0.226034i
$973$		−	11.6944i		−	0.374904i
$974$	18.7112	−	22.1950i	0.599544	−	0.711173i
$975$	−2.15167	−	6.36944i	−0.0689086	−	0.203985i
$976$	18.9097	+	3.51441i	0.605285	+	0.112494i
$977$	−6.17421	−	10.6941i	−0.197531	−	0.342133i	0.750197	−	0.661215i	$-0.229959\pi$
$977$	−6.17421	−	10.6941i	−0.197531	−	0.342133i	−0.947727	+	0.319082i	$0.896626\pi$
$978$	−10.9827	−	4.31881i	−0.351189	−	0.138100i
$979$	6.63583	+	3.83120i	0.212082	+	0.122446i
$980$	−1.95561	+	5.29687i	−0.0624697	+	0.169202i
$981$	−10.1004	−	13.2437i	−0.322481	−	0.422840i
$982$	1.19787	−	6.70304i	0.0382255	−	0.213903i
$983$	11.9870	−	20.7620i	0.382325	−	0.662206i	−0.609069	−	0.793117i	$-0.708457\pi$
$983$	11.9870	−	20.7620i	0.382325	−	0.662206i	0.991394	+	0.130911i	$0.0417902\pi$
$984$	−16.5993	−	50.2822i	−0.529167	−	1.60294i
$985$	0.735749	+	1.27435i	0.0234429	+	0.0406043i
$986$	−17.4057	+	6.28975i	−0.554311	+	0.200306i
$987$	−20.5363	−	18.0634i	−0.653677	−	0.574966i
$988$	−2.44782	+	2.03480i	−0.0778755	+	0.0647357i
$989$			61.0279i			1.94057i
$990$	1.16349	−	23.7812i	0.0369781	−	0.755815i
$991$	45.6307			1.44951			0.724754	−	0.689008i	$-0.241954\pi$
$991$	45.6307			1.44951			0.724754	+	0.689008i	$0.241954\pi$
$992$	17.2433	−	2.83590i	0.547477	−	0.0900399i
$993$	21.0133	+	4.21200i	0.666838	+	0.133664i
$994$	−7.15582	−	19.8024i	−0.226969	−	0.628094i
$995$	−6.95521	+	4.01559i	−0.220495	+	0.127303i
$996$	−1.63387	+	58.5434i	−0.0517713	+	1.85502i
$997$	53.5609	+	30.9234i	1.69629	+	0.979353i	0.949223	+	0.314604i	$0.101872\pi$
$997$	53.5609	+	30.9234i	1.69629	+	0.979353i	0.747067	+	0.664749i	$0.231461\pi$
$998$	−7.84661	+	43.9081i	−0.248380	+	1.38989i
$999$	1.10222	+	0.743550i	0.0348728	+	0.0235249i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bf.b.61.12	✓	92
3.2	odd	2		1080.2.bf.b.181.35		92
4.3	odd	2		1440.2.bv.b.241.40		92
8.3	odd	2		1440.2.bv.b.241.7		92
8.5	even	2	inner	360.2.bf.b.61.18	yes	92
9.4	even	3	inner	360.2.bf.b.301.18	yes	92
9.5	odd	6		1080.2.bf.b.901.29		92
12.11	even	2		4320.2.bv.b.721.45		92
24.5	odd	2		1080.2.bf.b.181.29		92
24.11	even	2		4320.2.bv.b.721.1		92
36.23	even	6		4320.2.bv.b.3601.1		92
36.31	odd	6		1440.2.bv.b.1201.7		92
72.5	odd	6		1080.2.bf.b.901.35		92
72.13	even	6	inner	360.2.bf.b.301.12	yes	92
72.59	even	6		4320.2.bv.b.3601.45		92
72.67	odd	6		1440.2.bv.b.1201.40		92

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bf.b.61.12	✓	92	1.1	even	1	trivial
360.2.bf.b.61.18	yes	92	8.5	even	2	inner
360.2.bf.b.301.12	yes	92	72.13	even	6	inner
360.2.bf.b.301.18	yes	92	9.4	even	3	inner
1080.2.bf.b.181.29		92	24.5	odd	2
1080.2.bf.b.181.35		92	3.2	odd	2
1080.2.bf.b.901.29		92	9.5	odd	6
1080.2.bf.b.901.35		92	72.5	odd	6
1440.2.bv.b.241.7		92	8.3	odd	2
1440.2.bv.b.241.40		92	4.3	odd	2
1440.2.bv.b.1201.7		92	36.31	odd	6
1440.2.bv.b.1201.40		92	72.67	odd	6
4320.2.bv.b.721.1		92	24.11	even	2
4320.2.bv.b.721.45		92	12.11	even	2
4320.2.bv.b.3601.1		92	36.23	even	6
4320.2.bv.b.3601.45		92	72.59	even	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:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.911534 + 1.08125i) q^{2} +(-1.64095 + 0.554332i) q^{3} +(-0.338210 - 1.97120i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.896409 - 2.27957i) q^{6} +(1.02186 - 1.76992i) q^{7} +(2.43965 + 1.43112i) q^{8} +(2.38543 - 1.81926i) q^{9} +O(q^{10})\)	\(q+(-0.911534 + 1.08125i) q^{2} +(-1.64095 + 0.554332i) q^{3} +(-0.338210 - 1.97120i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.896409 - 2.27957i) q^{6} +(1.02186 - 1.76992i) q^{7} +(2.43965 + 1.43112i) q^{8} +(2.38543 - 1.81926i) q^{9} +(0.248786 - 1.39216i) q^{10} +(4.86012 + 2.80599i) q^{11} +(1.64768 + 3.04715i) q^{12} +(-3.36152 + 1.94078i) q^{13} +(0.982265 + 2.71824i) q^{14} +(1.14394 - 1.30054i) q^{15} +(-3.77123 + 1.33336i) q^{16} -3.70770 q^{17} +(-0.207322 + 4.23757i) q^{18} +0.410031i q^{19} +(1.27850 + 1.53800i) q^{20} +(-0.695703 + 3.47080i) q^{21} +(-7.46414 + 2.69725i) q^{22} +(4.09780 + 7.09760i) q^{23} +(-4.79666 - 0.996025i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.965677 - 5.40374i) q^{26} +(-2.90590 + 4.30764i) q^{27} +(-3.83447 - 1.41569i) q^{28} +(-3.05670 - 1.76479i) q^{29} +(0.363473 + 2.42237i) q^{30} +(1.54458 + 2.67530i) q^{31} +(1.99591 - 5.29305i) q^{32} +(-9.53065 - 1.91037i) q^{33} +(3.37970 - 4.00896i) q^{34} +2.04373i q^{35} +(-4.39290 - 4.08686i) q^{36} -0.255876i q^{37} +(-0.443347 - 0.373758i) q^{38} +(4.44026 - 5.04812i) q^{39} +(-2.82836 - 0.0195647i) q^{40} +(5.40431 + 9.36054i) q^{41} +(-3.11865 - 3.91599i) q^{42} +(6.44879 + 3.72321i) q^{43} +(3.88742 - 10.5293i) q^{44} +(-1.15621 + 2.76824i) q^{45} +(-11.4096 - 2.03895i) q^{46} +(-3.86318 + 6.69122i) q^{47} +(5.44927 - 4.27848i) q^{48} +(1.41159 + 2.44494i) q^{49} +(0.480624 + 1.33004i) q^{50} +(6.08415 - 2.05530i) q^{51} +(4.96255 + 5.96983i) q^{52} +0.0103587i q^{53} +(-2.00882 - 7.06857i) q^{54} -5.61198 q^{55} +(5.02596 - 2.85557i) q^{56} +(-0.227294 - 0.672841i) q^{57} +(4.69447 - 1.69640i) q^{58} +(-1.03606 + 0.598170i) q^{59} +(-2.95051 - 1.81507i) q^{60} +(-4.16418 - 2.40419i) q^{61} +(-4.30061 - 0.768543i) q^{62} +(-0.782364 - 6.08106i) q^{63} +(3.90377 + 6.98288i) q^{64} +(1.94078 - 3.36152i) q^{65} +(10.7531 - 8.56367i) q^{66} +(1.99943 - 1.15437i) q^{67} +(1.25398 + 7.30861i) q^{68} +(-10.6587 - 9.37525i) q^{69} +(-2.20978 - 1.86293i) q^{70} -7.28502 q^{71} +(8.42320 - 1.02452i) q^{72} +6.70986 q^{73} +(0.276667 + 0.233240i) q^{74} +(-0.340409 + 1.69827i) q^{75} +(0.808252 - 0.138677i) q^{76} +(9.93276 - 5.73468i) q^{77} +(1.41084 + 9.40257i) q^{78} +(5.14794 - 8.91650i) q^{79} +(2.59930 - 3.04033i) q^{80} +(2.38057 - 8.67945i) q^{81} +(-15.0473 - 2.68904i) q^{82} +(14.6416 + 8.45331i) q^{83} +(7.07693 + 0.197508i) q^{84} +(3.21097 - 1.85385i) q^{85} +(-9.90403 + 3.57893i) q^{86} +(5.99418 + 1.20150i) q^{87} +(7.84126 + 13.8011i) q^{88} +1.36536 q^{89} +(-1.93924 - 3.77351i) q^{90} +7.93284i q^{91} +(12.6048 - 10.4780i) q^{92} +(-4.01759 - 3.53382i) q^{93} +(-3.71347 - 10.2764i) q^{94} +(-0.205016 - 0.355098i) q^{95} +(-0.341083 + 9.79202i) q^{96} +(-6.83159 + 11.8327i) q^{97} +(-3.93031 - 0.702367i) q^{98} +(16.6983 - 2.14833i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9}+O(q^{10}) \) 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9	\( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9} + 4 q^{10} + 22 q^{12} - 18 q^{14} - 8 q^{16} + 12 q^{17} - 16 q^{18} - 4 q^{20} - 10 q^{22} + 28 q^{23} + 24 q^{24} + 46 q^{25} - 64 q^{26} - 10 q^{30} + 8 q^{31} - 28 q^{32} - 14 q^{33} - 38 q^{36} - 6 q^{38} - 24 q^{39} + 2 q^{40} - 18 q^{41} + 22 q^{42} - 36 q^{44} + 4 q^{46} - 36 q^{47} - 76 q^{48} - 30 q^{49} - 2 q^{50} + 6 q^{52} + 42 q^{54} + 20 q^{55} - 38 q^{56} - 34 q^{57} + 18 q^{58} - 14 q^{60} + 60 q^{62} - 32 q^{63} - 48 q^{64} + 12 q^{65} + 36 q^{66} + 16 q^{68} + 8 q^{70} - 8 q^{71} + 92 q^{72} - 4 q^{73} + 52 q^{74} + 22 q^{76} + 58 q^{78} + 20 q^{79} - 16 q^{80} + 18 q^{81} - 16 q^{82} + 38 q^{84} - 60 q^{86} - 48 q^{87} - 20 q^{88} - 24 q^{89} - 24 q^{90} + 36 q^{92} - 14 q^{94} - 18 q^{95} - 38 q^{96} - 14 q^{97} - 60 q^{98}+O(q^{100}) \) 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9 + 4 * q^10 + 22 * q^12 - 18 * q^14 - 8 * q^16 + 12 * q^17 - 16 * q^18 - 4 * q^20 - 10 * q^22 + 28 * q^23 + 24 * q^24 + 46 * q^25 - 64 * q^26 - 10 * q^30 + 8 * q^31 - 28 * q^32 - 14 * q^33 - 38 * q^36 - 6 * q^38 - 24 * q^39 + 2 * q^40 - 18 * q^41 + 22 * q^42 - 36 * q^44 + 4 * q^46 - 36 * q^47 - 76 * q^48 - 30 * q^49 - 2 * q^50 + 6 * q^52 + 42 * q^54 + 20 * q^55 - 38 * q^56 - 34 * q^57 + 18 * q^58 - 14 * q^60 + 60 * q^62 - 32 * q^63 - 48 * q^64 + 12 * q^65 + 36 * q^66 + 16 * q^68 + 8 * q^70 - 8 * q^71 + 92 * q^72 - 4 * q^73 + 52 * q^74 + 22 * q^76 + 58 * q^78 + 20 * q^79 - 16 * q^80 + 18 * q^81 - 16 * q^82 + 38 * q^84 - 60 * q^86 - 48 * q^87 - 20 * q^88 - 24 * q^89 - 24 * q^90 + 36 * q^92 - 14 * q^94 - 18 * q^95 - 38 * q^96 - 14 * q^97 - 60 * q^98

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