LMFDB - Embedded newform 483.2.r.a.34.5

Newspace parameters

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.r (of order $22$, degree $10$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$32$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			34.5
Character	$\chi$	$=$	483.34
Dual form			483.2.r.a.412.5

$q$-expansion

$f(q)$	$=$	$q+(-1.85697 + 1.19340i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(1.19330 - 2.61296i) q^{4} +(1.10668 - 0.324952i) q^{5} +(2.00791 - 0.916981i) q^{6} +(-2.23744 - 1.41204i) q^{7} +(0.274107 + 1.90645i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})$	\(q+(-1.85697 + 1.19340i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(1.19330 - 2.61296i) q^{4} +(1.10668 - 0.324952i) q^{5} +(2.00791 - 0.916981i) q^{6} +(-2.23744 - 1.41204i) q^{7} +(0.274107 + 1.90645i) q^{8} +(0.959493 + 0.281733i) q^{9} +(-1.66728 + 1.92415i) q^{10} +(-0.0983116 + 0.152976i) q^{11} +(-1.55302 + 2.41654i) q^{12} +(-3.11702 - 2.70091i) q^{13} +(5.84000 - 0.0480570i) q^{14} +(-1.14167 + 0.164147i) q^{15} +(0.978068 + 1.12875i) q^{16} +(2.24519 + 4.91628i) q^{17} +(-2.11797 + 0.621892i) q^{18} +(0.214571 - 0.469846i) q^{19} +(0.471520 - 3.27949i) q^{20} +(2.01371 + 1.71609i) q^{21} -0.401397i q^{22} +(0.108391 + 4.79461i) q^{23} -1.92606i q^{24} +(-3.08711 + 1.98397i) q^{25} +(9.01148 + 1.29566i) q^{26} +(-0.909632 - 0.415415i) q^{27} +(-6.35955 + 4.16137i) q^{28} +(3.47274 + 7.60424i) q^{29} +(1.92415 - 1.66728i) q^{30} +(-3.48170 + 0.500593i) q^{31} +(-6.85938 - 2.01409i) q^{32} +(0.119082 - 0.137428i) q^{33} +(-10.0364 - 6.44997i) q^{34} +(-2.93499 - 0.835619i) q^{35} +(1.88112 - 2.17093i) q^{36} +(-0.139133 + 0.473843i) q^{37} +(0.162263 + 1.12856i) q^{38} +(2.70091 + 3.11702i) q^{39} +(0.922855 + 2.02077i) q^{40} +(-2.65953 - 9.05751i) q^{41} +(-5.78739 - 0.783550i) q^{42} +(-9.24311 - 1.32896i) q^{43} +(0.282405 + 0.439431i) q^{44} +1.15341 q^{45} +(-5.92318 - 8.77409i) q^{46} +3.91037i q^{47} +(-0.807475 - 1.25646i) q^{48} +(3.01230 + 6.31871i) q^{49} +(3.36500 - 7.36833i) q^{50} +(-1.52268 - 5.18576i) q^{51} +(-10.7769 + 4.92166i) q^{52} +(-5.66877 + 4.91202i) q^{53} +(2.18492 - 0.314144i) q^{54} +(-0.0590902 + 0.201243i) q^{55} +(2.07869 - 4.65263i) q^{56} +(-0.279254 + 0.434527i) q^{57} +(-15.5237 - 9.97647i) q^{58} +(-3.29542 - 2.85550i) q^{59} +(-0.933441 + 3.17901i) q^{60} +(0.757513 + 5.26862i) q^{61} +(5.86801 - 5.08466i) q^{62} +(-1.74899 - 1.98520i) q^{63} +(12.2752 - 3.60432i) q^{64} +(-4.32722 - 1.97618i) q^{65} +(-0.0571248 + 0.397312i) q^{66} +(-1.30491 - 2.03047i) q^{67} +15.5253 q^{68} +(0.575056 - 4.76123i) q^{69} +(6.44742 - 1.95090i) q^{70} +(-7.91478 + 5.08652i) q^{71} +(-0.274107 + 1.90645i) q^{72} +(5.88839 + 2.68914i) q^{73} +(-0.307120 - 1.04595i) q^{74} +(3.33804 - 1.52443i) q^{75} +(-0.971643 - 1.12134i) q^{76} +(0.435974 - 0.203455i) q^{77} +(-8.73537 - 2.56494i) q^{78} +(2.99150 + 2.59215i) q^{79} +(1.44920 + 0.931346i) q^{80} +(0.841254 + 0.540641i) q^{81} +(15.7479 + 13.6456i) q^{82} +(-8.62357 - 2.53211i) q^{83} +(6.88704 - 3.21396i) q^{84} +(4.08227 + 4.71119i) q^{85} +(18.7502 - 8.56291i) q^{86} +(-2.35520 - 8.02106i) q^{87} +(-0.318589 - 0.145495i) q^{88} +(-2.58811 + 18.0007i) q^{89} +(-2.14184 + 1.37648i) q^{90} +(3.16036 + 10.4445i) q^{91} +(12.6575 + 5.43819i) q^{92} +3.51751 q^{93} +(-4.66665 - 7.26145i) q^{94} +(0.0847856 - 0.589697i) q^{95} +(6.50292 + 2.96978i) q^{96} +(-6.91043 + 2.02908i) q^{97} +(-13.1345 - 8.13877i) q^{98} +(-0.137428 + 0.119082i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−1.85697	+	1.19340i	−1.31308	+	0.843863i	−0.994571	−	0.104058i	$-0.966817\pi$
$2$	−1.85697	+	1.19340i	−1.31308	+	0.843863i	−0.318506	+	0.947921i	$0.603181\pi$
$3$	−0.989821	−	0.142315i	−0.571474	−	0.0821655i
$3$	−0.989821	−	0.142315i	−0.571474	−	0.0821655i
$4$	1.19330	−	2.61296i	0.596650	−	1.30648i
$5$	1.10668	−	0.324952i	0.494925	−	0.145323i	−0.0247390	−	0.999694i	$-0.507875\pi$
$5$	1.10668	−	0.324952i	0.494925	−	0.145323i	0.519664	+	0.854371i	$0.326057\pi$
$6$	2.00791	−	0.916981i	0.819725	−	0.374356i
$7$	−2.23744	−	1.41204i	−0.845674	−	0.533700i
$7$	−2.23744	−	1.41204i	−0.845674	−	0.533700i
$8$	0.274107	+	1.90645i	0.0969113	+	0.674033i
$9$	0.959493	+	0.281733i	0.319831	+	0.0939109i
$10$	−1.66728	+	1.92415i	−0.527241	+	0.608469i
$11$	−0.0983116	+	0.152976i	−0.0296421	+	0.0461240i	−0.855758	−	0.517376i	$-0.826909\pi$
$11$	−0.0983116	+	0.152976i	−0.0296421	+	0.0461240i	0.826116	+	0.563500i	$0.190545\pi$
$12$	−1.55302	+	2.41654i	−0.448318	+	0.697596i
$13$	−3.11702	−	2.70091i	−0.864505	−	0.749098i	0.104921	−	0.994481i	$-0.466541\pi$
$13$	−3.11702	−	2.70091i	−0.864505	−	0.749098i	−0.969426	+	0.245383i	$0.921086\pi$
$14$	5.84000	−	0.0480570i	1.56080	−	0.0128438i
$15$	−1.14167	+	0.164147i	−0.294777	+	0.0423825i
$16$	0.978068	+	1.12875i	0.244517	+	0.282188i
$17$	2.24519	+	4.91628i	0.544539	+	1.19237i	0.959286	+	0.282437i	$0.0911427\pi$
$17$	2.24519	+	4.91628i	0.544539	+	1.19237i	−0.414747	+	0.909937i	$0.636130\pi$
$18$	−2.11797	+	0.621892i	−0.499211	+	0.146581i
$19$	0.214571	−	0.469846i	0.0492261	−	0.107790i	−0.883421	−	0.468580i	$-0.844766\pi$
$19$	0.214571	−	0.469846i	0.0492261	−	0.107790i	0.932647	+	0.360790i	$0.117493\pi$
$20$	0.471520	−	3.27949i	0.105435	−	0.733317i
$21$	2.01371	+	1.71609i	0.439429	+	0.374481i
$22$		−	0.401397i		−	0.0855782i
$23$	0.108391	+	4.79461i	0.0226012	+	0.999745i
$23$	0.108391	+	4.79461i	0.0226012	+	0.999745i
$24$		−	1.92606i		−	0.393155i
$25$	−3.08711	+	1.98397i	−0.617422	+	0.396793i
$26$	9.01148	+	1.29566i	1.76730	+	0.254099i
$27$	−0.909632	−	0.415415i	−0.175059	−	0.0799467i
$28$	−6.35955	+	4.16137i	−1.20184	+	0.786425i
$29$	3.47274	+	7.60424i	0.644872	+	1.41207i	0.895972	+	0.444111i	$0.146480\pi$
$29$	3.47274	+	7.60424i	0.644872	+	1.41207i	−0.251100	+	0.967961i	$0.580792\pi$
$30$	1.92415	−	1.66728i	0.351300	−	0.304403i
$31$	−3.48170	+	0.500593i	−0.625333	+	0.0899092i	−0.447694	−	0.894187i	$-0.647755\pi$
$31$	−3.48170	+	0.500593i	−0.625333	+	0.0899092i	−0.177638	+	0.984096i	$0.556846\pi$
$32$	−6.85938	−	2.01409i	−1.21258	−	0.356045i
$33$	0.119082	−	0.137428i	0.0207295	−	0.0239231i
$34$	−10.0364	−	6.44997i	−1.72122	−	1.10616i
$35$	−2.93499	−	0.835619i	−0.496104	−	0.141245i
$36$	1.88112	−	2.17093i	0.313520	−	0.361822i
$37$	−0.139133	+	0.473843i	−0.0228733	+	0.0778992i	−0.970139	−	0.242551i	$-0.922016\pi$
$37$	−0.139133	+	0.473843i	−0.0228733	+	0.0778992i	0.947265	+	0.320450i	$0.103834\pi$
$38$	0.162263	+	1.12856i	0.0263225	+	0.183077i
$39$	2.70091	+	3.11702i	0.432492	+	0.499122i
$40$	0.922855	+	2.02077i	0.145916	+	0.319512i
$41$	−2.65953	−	9.05751i	−0.415348	−	1.41455i	−0.856050	−	0.516892i	$-0.827089\pi$
$41$	−2.65953	−	9.05751i	−0.415348	−	1.41455i	0.440702	−	0.897653i	$-0.354729\pi$
$42$	−5.78739	−	0.783550i	−0.893014	−	0.120904i
$43$	−9.24311	−	1.32896i	−1.40956	−	0.202664i	−0.604854	−	0.796337i	$-0.706768\pi$
$43$	−9.24311	−	1.32896i	−1.40956	−	0.202664i	−0.804707	+	0.593672i	$0.797678\pi$
$44$	0.282405	+	0.439431i	0.0425742	+	0.0662467i
$45$	1.15341			0.171940
$46$	−5.92318	−	8.77409i	−0.873325	−	1.29367i
$47$			3.91037i			0.570387i	0.958470	+	0.285193i	$0.0920578\pi$
$47$			3.91037i			0.570387i	−0.958470	+	0.285193i	$0.907942\pi$
$48$	−0.807475	−	1.25646i	−0.116549	−	0.181354i
$49$	3.01230	+	6.31871i	0.430328	+	0.902672i
$50$	3.36500	−	7.36833i	0.475883	−	1.04204i
$51$	−1.52268	−	5.18576i	−0.213218	−	0.726152i
$52$	−10.7769	+	4.92166i	−1.49449	+	0.682511i
$53$	−5.66877	+	4.91202i	−0.778665	+	0.674717i	−0.950609	−	0.310389i	$-0.899541\pi$
$53$	−5.66877	+	4.91202i	−0.778665	+	0.674717i	0.171944	+	0.985107i	$0.444995\pi$
$54$	2.18492	−	0.314144i	0.297330	−	0.0427495i
$55$	−0.0590902	+	0.201243i	−0.00796772	+	0.0271356i
$56$	2.07869	−	4.65263i	0.277776	−	0.621734i
$57$	−0.279254	+	0.434527i	−0.0369880	+	0.0575545i
$58$	−15.5237	−	9.97647i	−2.03836	−	1.30998i
$59$	−3.29542	−	2.85550i	−0.429028	−	0.371755i	0.413413	−	0.910544i	$-0.364337\pi$
$59$	−3.29542	−	2.85550i	−0.429028	−	0.371755i	−0.842441	+	0.538789i	$0.818882\pi$
$60$	−0.933441	+	3.17901i	−0.120507	+	0.410408i
$61$	0.757513	+	5.26862i	0.0969896	+	0.674578i	0.979077	+	0.203491i	$0.0652289\pi$
$61$	0.757513	+	5.26862i	0.0969896	+	0.674578i	−0.882087	+	0.471086i	$0.843862\pi$
$62$	5.86801	−	5.08466i	0.745239	−	0.645753i
$63$	−1.74899	−	1.98520i	−0.220352	−	0.250112i
$64$	12.2752	−	3.60432i	1.53440	−	0.450540i
$65$	−4.32722	−	1.97618i	−0.536726	−	0.245114i
$66$	−0.0571248	+	0.397312i	−0.00703157	+	0.0489057i
$67$	−1.30491	−	2.03047i	−0.159420	−	0.248062i	0.752350	−	0.658763i	$-0.228920\pi$
$67$	−1.30491	−	2.03047i	−0.159420	−	0.248062i	−0.911770	+	0.410702i	$0.865284\pi$
$68$	15.5253			1.88271
$69$	0.575056	−	4.76123i	0.0692286	−	0.573185i
$70$	6.44742	−	1.95090i	0.770614	−	0.233177i
$71$	−7.91478	+	5.08652i	−0.939311	+	0.603659i	−0.918199	−	0.396118i	$-0.870357\pi$
$71$	−7.91478	+	5.08652i	−0.939311	+	0.603659i	−0.0211119	+	0.999777i	$0.506721\pi$
$72$	−0.274107	+	1.90645i	−0.0323038	+	0.224678i
$73$	5.88839	+	2.68914i	0.689184	+	0.314740i	0.729045	−	0.684466i	$-0.239964\pi$
$73$	5.88839	+	2.68914i	0.689184	+	0.314740i	−0.0398614	+	0.999205i	$0.512692\pi$
$74$	−0.307120	−	1.04595i	−0.0357019	−	0.121590i
$75$	3.33804	−	1.52443i	0.385443	−	0.176026i
$76$	−0.971643	−	1.12134i	−0.111455	−	0.128626i
$77$	0.435974	−	0.203455i	0.0496839	−	0.0231859i
$78$	−8.73537	−	2.56494i	−0.989086	−	0.290422i
$79$	2.99150	+	2.59215i	0.336570	+	0.291640i	0.806704	−	0.590955i	$-0.201249\pi$
$79$	2.99150	+	2.59215i	0.336570	+	0.291640i	−0.470134	+	0.882595i	$0.655795\pi$
$80$	1.44920	+	0.931346i	0.162026	+	0.104128i
$81$	0.841254	+	0.540641i	0.0934726	+	0.0600712i
$82$	15.7479	+	13.6456i	1.73907	+	1.50691i
$83$	−8.62357	−	2.53211i	−0.946560	−	0.277935i	−0.228206	−	0.973613i	$-0.573286\pi$
$83$	−8.62357	−	2.53211i	−0.946560	−	0.277935i	−0.718354	+	0.695678i	$0.755104\pi$
$84$	6.88704	−	3.21396i	0.751438	−	0.350672i
$85$	4.08227	+	4.71119i	0.442785	+	0.511001i
$86$	18.7502	−	8.56291i	2.02188	−	0.923363i
$87$	−2.35520	−	8.02106i	−0.252504	−	0.859948i
$88$	−0.318589	−	0.145495i	−0.0339617	−	0.0155098i
$89$	−2.58811	+	18.0007i	−0.274339	+	1.90807i	0.126575	+	0.991957i	$0.459602\pi$
$89$	−2.58811	+	18.0007i	−0.274339	+	1.90807i	−0.400914	+	0.916116i	$0.631307\pi$
$90$	−2.14184	+	1.37648i	−0.225770	+	0.145094i
$91$	3.16036	+	10.4445i	0.331296	+	1.09488i
$92$	12.6575	+	5.43819i	1.31963	+	0.566970i
$93$	3.51751			0.364749
$94$	−4.66665	−	7.26145i	−0.481328	−	0.748961i
$95$	0.0847856	−	0.589697i	0.00869882	−	0.0605016i
$96$	6.50292	+	2.96978i	0.663702	+	0.303102i
$97$	−6.91043	+	2.02908i	−0.701648	+	0.206022i	−0.613049	−	0.790045i	$-0.710057\pi$
$97$	−6.91043	+	2.02908i	−0.701648	+	0.206022i	−0.0885988	+	0.996067i	$0.528239\pi$
$98$	−13.1345	−	8.13877i	−1.32679	−	0.822140i
$99$	−0.137428	+	0.119082i	−0.0138120	+	0.0119682i
$100$	1.50018	+	10.4340i	0.150018	+	1.04340i
$101$	1.51269	−	5.15175i	0.150518	−	0.512618i	−0.849366	−	0.527804i	$-0.823016\pi$
$101$	1.51269	−	5.15175i	0.150518	−	0.512618i	0.999885	+	0.0151854i	$0.00483386\pi$
$102$	9.01627	+	7.81265i	0.892744	+	0.773567i
$103$	−4.97030	−	3.19422i	−0.489738	−	0.314735i	0.272362	−	0.962195i	$-0.412195\pi$
$103$	−4.97030	−	3.19422i	−0.489738	−	0.314735i	−0.762100	+	0.647459i	$0.775832\pi$
$104$	4.29476	−	6.68278i	0.421136	−	0.655301i
$105$	2.78619	+	1.24481i	0.271905	+	0.121481i
$106$	4.66472	−	15.8866i	0.453078	−	1.54304i
$107$	12.2353	−	1.75917i	1.18283	−	0.170066i	0.477299	−	0.878741i	$-0.341616\pi$
$107$	12.2353	−	1.75917i	1.18283	−	0.170066i	0.705535	+	0.708675i	$0.250707\pi$
$108$	−2.17093	+	1.88112i	−0.208898	+	0.181011i
$109$	18.3624	−	8.38584i	1.75880	−	0.803217i	0.773193	−	0.634171i	$-0.218659\pi$
$109$	18.3624	−	8.38584i	1.75880	−	0.803217i	0.985608	−	0.169046i	$-0.0540687\pi$
$110$	−0.130435	−	0.444220i	−0.0124365	−	0.0423547i
$111$	0.205151	−	0.449219i	0.0194721	−	0.0426380i
$112$	−0.594532	−	3.90658i	−0.0561780	−	0.369137i
$113$	6.35765	+	9.89269i	0.598077	+	0.930626i	0.999889	+	0.0149039i	$0.00474424\pi$
$113$	6.35765	+	9.89269i	0.598077	+	0.930626i	−0.401812	+	0.915722i	$0.631619\pi$
$114$		−	1.14017i		−	0.106786i
$115$	1.67797	+	5.27090i	0.156472	+	0.491514i
$116$	24.0136			2.22961
$117$	−2.22982	−	3.46967i	−0.206147	−	0.320771i
$118$	9.52727	+	1.36981i	0.877056	+	0.126102i
$119$	1.91849	−	14.1702i	0.175868	−	1.29898i
$120$	−0.625876	−	2.13154i	−0.0571344	−	0.194582i
$121$	4.55583	+	9.97587i	0.414166	+	0.906898i
$122$	−7.69427	−	8.87966i	−0.696606	−	0.803926i
$123$	1.34344	+	9.34381i	0.121134	+	0.842503i
$124$	−2.84669	+	9.69493i	−0.255640	+	0.870630i
$125$	−6.54837	+	7.55722i	−0.585704	+	0.675938i
$126$	5.61697	+	1.59921i	0.500400	+	0.142469i
$127$	−6.94984	−	4.46639i	−0.616699	−	0.396328i	0.194665	−	0.980870i	$-0.437638\pi$
$127$	−6.94984	−	4.46639i	−0.616699	−	0.396328i	−0.811364	+	0.584541i	$0.801274\pi$
$128$	−9.13011	+	10.5367i	−0.806995	+	0.931322i
$129$	8.95989	+	2.63086i	0.788875	+	0.231635i
$130$	10.3939	−	1.49442i	0.911605	−	0.131069i
$131$	−6.70266	+	5.80789i	−0.585614	+	0.507438i	−0.896520	−	0.443003i	$-0.853913\pi$
$131$	−6.70266	+	5.80789i	−0.585614	+	0.507438i	0.310906	+	0.950441i	$0.399368\pi$
$132$	−0.216993	−	0.475149i	−0.0188868	−	0.0413564i
$133$	−1.14353	+	0.748270i	−0.0991568	+	0.0648833i
$134$	4.84634	+	2.21325i	0.418660	+	0.191196i
$135$	−1.14167	−	0.164147i	−0.0982590	−	0.0141275i
$136$	−8.75724	+	5.62793i	−0.750927	+	0.482591i
$137$		−	3.32339i		−	0.283936i	−0.989871	−	0.141968i	$-0.954657\pi$
$137$		−	3.32339i		−	0.283936i	0.989871	−	0.141968i	$-0.0453431\pi$
$138$	4.61420	+	9.52774i	0.392787	+	0.811055i
$139$			10.6931i			0.906976i	0.891262	+	0.453488i	$0.149820\pi$
$139$			10.6931i			0.906976i	−0.891262	+	0.453488i	$0.850180\pi$
$140$	−5.68577	+	6.67188i	−0.480535	+	0.563876i
$141$	0.556504	−	3.87057i	0.0468661	−	0.325961i
$142$	8.62725	−	18.8910i	0.723983	−	1.58530i
$143$	0.719613	−	0.211297i	0.0601771	−	0.0176696i
$144$	0.620444	+	1.35858i	0.0517036	+	0.113215i
$145$	6.31424	+	7.28702i	0.524369	+	0.605154i
$146$	−14.1438	+	2.03357i	−1.17055	+	0.168299i
$147$	−2.08239	−	6.68309i	−0.171753	−	0.551212i
$148$	1.07211	+	0.928986i	0.0881266	+	0.0763622i
$149$	−2.10182	+	3.27050i	−0.172188	+	0.267929i	−0.916612	−	0.399777i	$-0.869088\pi$
$149$	−2.10182	+	3.27050i	−0.172188	+	0.267929i	0.744425	+	0.667707i	$0.232724\pi$
$150$	−4.37938	+	6.81444i	−0.357575	+	0.556397i
$151$	13.1219	−	15.1434i	1.06784	−	1.23235i	0.0963332	−	0.995349i	$-0.469289\pi$
$151$	13.1219	−	15.1434i	1.06784	−	1.23235i	0.971508	−	0.237006i	$-0.0761660\pi$
$152$	0.954555	+	0.280283i	0.0774246	+	0.0227339i
$153$	0.769168	+	5.34968i	0.0621835	+	0.432496i
$154$	−0.566788	+	0.898103i	−0.0456731	+	0.0723712i
$155$	−3.69048	+	1.68539i	−0.296427	+	0.135373i
$156$	11.3677	−	3.33784i	0.910141	−	0.267241i
$157$	1.32273	−	2.89637i	0.105565	−	0.231156i	−0.849477	−	0.527626i	$-0.823082\pi$
$157$	1.32273	−	2.89637i	0.105565	−	0.231156i	0.955042	+	0.296470i	$0.0958096\pi$
$158$	−8.64861	−	1.24348i	−0.688046	−	0.0989261i
$159$	6.31012	−	4.05527i	0.500425	−	0.321604i
$160$	−8.24565			−0.651876
$161$	6.52765	−	10.8807i	0.514451	−	0.857520i
$162$	−2.20739			−0.173429
$163$	−14.0629	+	9.03769i	−1.10149	+	0.707886i	−0.959423	−	0.281970i	$-0.909012\pi$
$163$	−14.0629	+	9.03769i	−1.10149	+	0.707886i	−0.142069	+	0.989857i	$0.545376\pi$
$164$	−26.8406	−	3.85909i	−2.09590	−	0.301344i
$165$	0.0871286	−	0.190785i	0.00678295	−	0.0148526i
$166$	19.0355	−	5.58934i	1.47744	−	0.433817i
$167$	−13.0994	+	5.98228i	−1.01366	+	0.462923i	−0.851787	−	0.523889i	$-0.824481\pi$
$167$	−13.0994	+	5.98228i	−1.01366	+	0.462923i	−0.161873	+	0.986812i	$0.551753\pi$
$168$	−2.71967	+	4.30944i	−0.209827	+	0.332481i
$169$	0.570783	+	3.96988i	0.0439064	+	0.305376i
$170$	−13.2030	−	3.87676i	−1.01263	−	0.297334i
$171$	0.338251	−	0.390362i	0.0258667	−	0.0298517i
$172$	−14.5023	+	22.5661i	−1.10579	+	1.72065i
$173$	3.10099	−	4.82523i	0.235764	−	0.366856i	−0.703131	−	0.711061i	$-0.748215\pi$
$173$	3.10099	−	4.82523i	0.235764	−	0.366856i	0.938895	+	0.344205i	$0.111852\pi$
$174$	13.9459	+	12.0842i	1.05724	+	0.916099i
$175$	9.70867	−	0.0798920i	0.733906	−	0.00603927i
$176$	−0.268827	+	0.0386515i	−0.0202636	+	0.00291347i
$177$	2.85550	+	3.29542i	0.214633	+	0.247699i
$178$	−16.6761	−	36.5155i	−1.24992	−	2.73695i
$179$	−9.02379	+	2.64962i	−0.674469	+	0.198042i	−0.600992	−	0.799255i	$-0.705228\pi$
$179$	−9.02379	+	2.64962i	−0.674469	+	0.198042i	−0.0734772	+	0.997297i	$0.523410\pi$
$180$	1.37636	−	3.01381i	0.102588	−	0.224636i
$181$	0.948189	−	6.59480i	0.0704783	−	0.490187i	−0.923758	−	0.382977i	$-0.874899\pi$
$181$	0.948189	−	6.59480i	0.0704783	−	0.490187i	0.994236	−	0.107211i	$-0.0341919\pi$
$182$	−18.3332	−	15.6235i	−1.35894	−	1.15809i
$183$		−	5.32280i		−	0.393473i
$184$	−9.11098	+	1.52088i	−0.671670	+	0.112120i
$185$			0.569606i			0.0418783i
$186$	−6.53191	+	4.19780i	−0.478943	+	0.307798i
$187$	−0.972801	−	0.139868i	−0.0711382	−	0.0102281i
$188$	10.2177	+	4.66625i	0.745200	+	0.340321i
$189$	1.44867	+	2.21390i	0.105375	+	0.161038i
$190$	0.546302	+	1.19623i	0.0396329	+	0.0867839i
$191$	6.67328	−	5.78243i	0.482861	−	0.418402i	−0.379116	−	0.925349i	$-0.623772\pi$
$191$	6.67328	−	5.78243i	0.482861	−	0.418402i	0.861977	+	0.506948i	$0.169226\pi$
$192$	−12.6632	+	1.82069i	−0.913887	+	0.131397i
$193$	−11.9587	−	3.51141i	−0.860810	−	0.252756i	−0.178608	−	0.983920i	$-0.557159\pi$
$193$	−11.9587	−	3.51141i	−0.860810	−	0.252756i	−0.682202	+	0.731164i	$0.738977\pi$
$194$	10.4109	−	12.0149i	0.747462	−	0.862618i
$195$	4.00194	+	2.57189i	0.286585	+	0.184177i
$196$	20.1051	−	0.330910i	1.43608	−	0.0236365i
$197$	13.4387	−	15.5091i	0.957471	−	1.10498i	−0.0369310	−	0.999318i	$-0.511758\pi$
$197$	13.4387	−	15.5091i	0.957471	−	1.10498i	0.994402	−	0.105663i	$-0.0336964\pi$
$198$	0.113087	−	0.385138i	0.00803672	−	0.0273706i
$199$	−0.0332438	−	0.231215i	−0.00235659	−	0.0163904i	0.988609	−	0.150505i	$-0.0480900\pi$
$199$	−0.0332438	−	0.231215i	−0.00235659	−	0.0163904i	−0.990966	+	0.134115i	$0.957181\pi$
$200$	−4.62853	−	5.34161i	−0.327287	−	0.377709i
$201$	1.00266	+	2.19551i	0.0707220	+	0.154859i
$202$	3.33909	+	11.3719i	0.234938	+	0.800124i
$203$	2.96742	−	21.9177i	0.208272	−	1.53832i
$204$	−15.3672	−	2.20947i	−1.07592	−	0.154694i
$205$	−5.88651	−	9.15959i	−0.411132	−	0.639734i
$206$	13.0417			0.908657
$207$	−1.24680	+	4.63093i	−0.0866583	+	0.321872i
$208$		−	6.16001i		−	0.427120i
$209$	0.0507802	+	0.0790156i	0.00351254	+	0.00546562i
$210$	−6.65944	+	1.01348i	−0.459545	+	0.0699369i
$211$	4.33229	−	9.48639i	0.298247	−	0.653070i	−0.699879	−	0.714262i	$-0.746763\pi$
$211$	4.33229	−	9.48639i	0.298247	−	0.653070i	0.998126	+	0.0611914i	$0.0194900\pi$
$212$	6.07038	+	20.6738i	0.416915	+	1.41988i
$213$	8.55810	−	3.90836i	0.586392	−	0.267796i
$214$	−20.6212	+	17.8684i	−1.40964	+	1.22146i
$215$	−10.6611	+	1.53283i	−0.727078	+	0.104538i
$216$	0.542633	−	1.84804i	0.0369215	−	0.125743i
$217$	8.49697	+	3.79625i	0.576812	+	0.257706i
$218$	−24.0908	+	37.4860i	−1.63163	+	2.53887i
$219$	−5.44575	−	3.49977i	−0.367990	−	0.236493i
$220$	0.455328	+	0.394544i	0.0306982	+	0.0266001i
$221$	6.28014	−	21.3882i	0.422448	−	1.43873i
$222$	0.155139	+	1.07901i	0.0104122	+	0.0724187i
$223$	13.8261	−	11.9804i	0.925863	−	0.802265i	−0.0546933	−	0.998503i	$-0.517418\pi$
$223$	13.8261	−	11.9804i	0.925863	−	0.802265i	0.980556	+	0.196238i	$0.0628727\pi$
$224$	12.5035	+	14.1921i	0.835424	+	0.948251i
$225$	−3.52101	+	1.03386i	−0.234734	+	0.0689241i
$226$	−23.6119	−	10.7832i	−1.57064	−	0.717288i
$227$	−0.574083	+	3.99283i	−0.0381032	+	0.265014i	−0.999964	−	0.00852707i	$-0.997286\pi$
$227$	−0.574083	+	3.99283i	−0.0381032	+	0.265014i	0.961860	+	0.273541i	$0.0881948\pi$
$228$	0.802170	+	1.24820i	0.0531250	+	0.0826641i
$229$	−22.0179			−1.45498			−0.727491	−	0.686117i	$-0.759314\pi$
$229$	−22.0179			−1.45498			−0.727491	+	0.686117i	$0.759314\pi$
$230$	−9.40625	−	7.78541i	−0.620230	−	0.513354i
$231$	−0.460491	+	0.139339i	−0.0302981	+	0.00916780i
$232$	−13.5452	+	8.70499i	−0.889288	+	0.571510i
$233$	−0.571226	+	3.97296i	−0.0374223	+	0.260277i	−0.999940	−	0.0109407i	$-0.996517\pi$
$233$	−0.571226	+	3.97296i	−0.0374223	+	0.260277i	0.962518	+	0.271218i	$0.0874265\pi$
$234$	8.28143	+	3.78200i	0.541374	+	0.247237i
$235$	1.27068	+	4.32755i	0.0828903	+	0.282298i
$236$	−11.3938	+	5.20336i	−0.741670	+	0.338710i
$237$	−2.59215	−	2.99150i	−0.168378	−	0.194319i
$238$	13.3482	+	28.6032i	0.865233	+	1.85407i
$239$	−12.2132	−	3.58612i	−0.790007	−	0.231967i	−0.138253	−	0.990397i	$-0.544149\pi$
$239$	−12.2132	−	3.58612i	−0.790007	−	0.231967i	−0.651755	+	0.758430i	$0.725967\pi$
$240$	−1.30191	−	1.12811i	−0.0840378	−	0.0728192i
$241$	−17.0271	−	10.9426i	−1.09681	−	0.704878i	−0.138431	−	0.990372i	$-0.544206\pi$
$241$	−17.0271	−	10.9426i	−1.09681	−	0.704878i	−0.958380	+	0.285495i	$0.907842\pi$
$242$	−20.3653	−	13.0880i	−1.30913	−	0.841326i
$243$	−0.755750	−	0.654861i	−0.0484814	−	0.0420093i
$244$	14.6707	+	4.30769i	0.939193	+	0.275772i
$245$	5.38694	+	6.01397i	0.344159	+	0.384218i
$246$	−13.6456	−	15.7479i	−0.870015	−	1.00405i
$247$	−1.93783	+	0.884980i	−0.123301	+	0.0563099i
$248$	−1.90872	−	6.50049i	−0.121204	−	0.412781i
$249$	8.17544	+	3.73360i	0.518097	+	0.236607i
$250$	3.14132	−	21.8484i	0.198675	−	1.38181i
$251$	−2.78381	+	1.78905i	−0.175712	+	0.112924i	−0.625541	−	0.780192i	$-0.715122\pi$
$251$	−2.78381	+	1.78905i	−0.175712	+	0.112924i	0.449828	+	0.893115i	$0.351485\pi$
$252$	−7.27433	+	2.20112i	−0.458240	+	0.138657i
$253$	−0.744115	−	0.454784i	−0.0467821	−	0.0285920i
$254$	18.2359			1.14422
$255$	−3.37025	−	5.24421i	−0.211053	−	0.328405i
$256$	0.738429	−	5.13589i	0.0461518	−	0.320993i
$257$	4.26711	+	1.94872i	0.266175	+	0.121558i	0.544032	−	0.839064i	$-0.316897\pi$
$257$	4.26711	+	1.94872i	0.266175	+	0.121558i	−0.277857	+	0.960622i	$0.589624\pi$
$258$	−19.7779	+	5.80733i	−1.23132	+	0.361548i
$259$	0.980385	−	0.863735i	0.0609182	−	0.0536699i
$260$	−10.3274	+	8.94870i	−0.640475	+	0.554975i
$261$	1.18971	+	8.27460i	0.0736411	+	0.512185i
$262$	5.51550	−	18.7841i	0.340749	−	1.16048i
$263$	−9.47672	−	8.21162i	−0.584359	−	0.506350i	0.311761	−	0.950160i	$-0.399081\pi$
$263$	−9.47672	−	8.21162i	−0.584359	−	0.506350i	−0.896121	+	0.443810i	$0.853626\pi$
$264$	0.294640	+	0.189354i	0.0181339	+	0.0116539i
$265$	−4.67737	+	7.27813i	−0.287329	+	0.447092i
$266$	1.23052	−	2.75421i	0.0754479	−	0.168871i
$267$	5.12354	−	17.4492i	0.313556	−	1.06787i
$268$	−6.86270	+	0.986707i	−0.419206	+	0.0602727i
$269$	−14.2497	+	12.3474i	−0.868819	+	0.752836i	−0.970275	−	0.242004i	$-0.922195\pi$
$269$	−14.2497	+	12.3474i	−0.868819	+	0.752836i	0.101456	+	0.994840i	$0.467650\pi$
$270$	2.31593	−	1.05765i	0.140943	−	0.0643666i
$271$	8.86135	+	30.1790i	0.538289	+	1.83324i	0.552749	+	0.833348i	$0.313579\pi$
$271$	8.86135	+	30.1790i	0.538289	+	1.83324i	−0.0144607	+	0.999895i	$0.504603\pi$
$272$	−3.35331	+	7.34272i	−0.203324	+	0.445218i
$273$	−1.64179	−	10.7879i	−0.0993654	−	0.652915i
$274$	3.96614	+	6.17144i	0.239603	+	0.372830i
$275$		−	0.667300i		−	0.0402397i
$276$	−11.7547	−	7.18418i	−0.707550	−	0.432437i
$277$	3.73824			0.224609			0.112305	−	0.993674i	$-0.464177\pi$
$277$	3.73824			0.224609			0.112305	+	0.993674i	$0.464177\pi$
$278$	−12.7612	−	19.8567i	−0.765363	−	1.19093i
$279$	−3.48170	−	0.500593i	−0.208444	−	0.0299697i
$280$	0.788570	−	5.82447i	0.0471260	−	0.348078i
$281$	0.146799	+	0.499952i	0.00875730	+	0.0298246i	0.963756	−	0.266786i	$-0.0859618\pi$
$281$	0.146799	+	0.499952i	0.00875730	+	0.0298246i	−0.954998	+	0.296611i	$0.904144\pi$
$282$	3.58574	+	7.85167i	0.213528	+	0.467560i
$283$	13.5035	+	15.5838i	0.802698	+	0.926363i	0.998526	−	0.0542754i	$-0.0172849\pi$
$283$	13.5035	+	15.5838i	0.802698	+	0.926363i	−0.195828	+	0.980638i	$0.562739\pi$
$284$	3.84618	+	26.7508i	0.228229	+	1.58737i
$285$	−0.167845	+	0.571628i	−0.00994229	+	0.0338603i
$286$	−1.08414	+	1.25116i	−0.0641064	+	0.0739827i
$287$	−6.83901	+	24.0210i	−0.403694	+	1.41792i
$288$	−6.01409	−	3.86502i	−0.354383	−	0.227748i
$289$	−7.99631	+	9.22823i	−0.470371	+	0.542837i
$290$	−20.4217	−	5.99636i	−1.19920	−	0.352118i
$291$	7.12886	−	1.02498i	0.417901	−	0.0600851i
$292$	14.0532	−	12.1772i	0.822404	−	0.712617i
$293$	13.8642	+	30.3583i	0.809953	+	1.77355i	0.607611	+	0.794235i	$0.292128\pi$
$293$	13.8642	+	30.3583i	0.809953	+	1.77355i	0.202342	+	0.979315i	$0.435145\pi$
$294$	11.8426	+	9.92517i	0.690672	+	0.578847i
$295$	−4.57490	−	2.08929i	−0.266361	−	0.121643i
$296$	−0.941496	−	0.135367i	−0.0547233	−	0.00786803i
$297$	0.152976	−	0.0983116i	0.00887656	−	0.00570462i
$298$		−	8.58153i		−	0.497115i
$299$	12.6119	−	15.2376i	0.729368	−	0.881214i
$300$		−	10.5413i		−	0.608601i
$301$	18.8044	+	16.0251i	1.08387	+	0.923670i
$302$	−6.29470	+	43.7806i	−0.362219	+	2.51929i
$303$	−2.23046	+	4.88403i	−0.128137	+	0.280580i
$304$	0.740205	−	0.217344i	0.0424536	−	0.0124655i
$305$	2.55038	+	5.58455i	0.146034	+	0.319770i
$306$	−7.81265	−	9.01627i	−0.446619	−	0.515426i
$307$	20.0223	−	2.87877i	1.14273	−	0.164300i	0.455156	−	0.890412i	$-0.349584\pi$
$307$	20.0223	−	2.87877i	1.14273	−	0.164300i	0.687577	+	0.726112i	$0.258674\pi$
$308$	−0.0113721	−	1.38197i	−0.000647988	−	0.0787450i
$309$	4.46512	+	3.86905i	0.254012	+	0.220103i
$310$	4.84177	−	7.53394i	0.274994	−	0.427899i
$311$	15.9969	−	24.8916i	0.907100	−	1.41148i	−0.00431606	−	0.999991i	$-0.501374\pi$
$311$	15.9969	−	24.8916i	0.907100	−	1.41148i	0.911416	−	0.411485i	$-0.134990\pi$
$312$	−5.20211	+	6.00355i	−0.294511	+	0.339884i
$313$	−31.4011	−	9.22018i	−1.77489	−	0.521156i	−0.780337	−	0.625359i	$-0.784952\pi$
$313$	−31.4011	−	9.22018i	−1.77489	−	0.521156i	−0.994556	+	0.104204i	$0.966771\pi$
$314$	1.00027	+	6.95702i	0.0564484	+	0.392607i
$315$	−2.58068	−	1.62865i	−0.145405	−	0.0917642i
$316$	10.3430	−	4.72347i	0.581837	−	0.265716i
$317$	22.0417	−	6.47203i	1.23799	−	0.363506i	0.403728	−	0.914879i	$-0.367714\pi$
$317$	22.0417	−	6.47203i	1.23799	−	0.363506i	0.834258	+	0.551374i	$0.185896\pi$
$318$	−6.87814	+	15.0610i	−0.385707	+	0.844581i
$319$	−1.50468	−	0.216340i	−0.0842457	−	0.0121127i
$320$	12.4135	−	7.97769i	0.693937	−	0.445966i
$321$	−12.3611			−0.689932
$322$	0.863419	+	27.9953i	0.0481165	+	1.56012i
$323$	2.79165			0.155332
$324$	2.41654	−	1.55302i	0.134252	−	0.0862788i
$325$	14.9811	+	2.15395i	0.831001	+	0.119480i
$326$	15.3288	−	33.5654i	0.848985	−	1.85902i
$327$	−19.3689	+	5.68724i	−1.07111	+	0.314505i
$328$	16.5387	−	7.55298i	0.913198	−	0.417044i
$329$	5.52159	−	8.74923i	0.304415	−	0.482361i
$330$	0.0658881	+	0.458262i	0.00362702	+	0.0252265i
$331$	−11.8576	−	3.48170i	−0.651752	−	0.191372i	−0.0608904	−	0.998144i	$-0.519394\pi$
$331$	−11.8576	−	3.48170i	−0.651752	−	0.191372i	−0.590862	+	0.806773i	$0.701212\pi$
$332$	−16.9068	+	19.5115i	−0.927882	+	1.07083i
$333$	−0.266994	+	0.415450i	−0.0146312	+	0.0227665i
$334$	17.1859	−	26.7417i	0.940369	−	1.46324i
$335$	−2.10392	−	1.82306i	−0.114950	−	0.0996045i
$336$	0.0325161	+	3.95143i	0.00177390	+	0.215568i
$337$	−7.17478	+	1.03158i	−0.390835	+	0.0561936i	−0.334931	−	0.942243i	$-0.608713\pi$
$337$	−7.17478	+	1.03158i	−0.390835	+	0.0561936i	−0.0559039	+	0.998436i	$0.517804\pi$
$338$	−5.79760	−	6.69079i	−0.315348	−	0.363931i
$339$	−4.88506	−	10.6968i	−0.265320	−	0.580970i
$340$	17.1816	−	5.04496i	0.931801	−	0.273602i
$341$	0.265713	−	0.581831i	0.0143892	−	0.0315079i
$342$	−0.162263	+	1.12856i	−0.00877415	+	0.0610256i
$343$	2.18241	−	18.3912i	0.117839	−	0.993033i
$344$		−	17.9858i		−	0.969731i
$345$	−0.910766	−	5.45605i	−0.0490340	−	0.293744i
$346$			12.6610i			0.680662i
$347$	−3.63509	+	2.33613i	−0.195142	+	0.125410i	−0.634563	−	0.772871i	$-0.718820\pi$
$347$	−3.63509	+	2.33613i	−0.195142	+	0.125410i	0.439421	+	0.898281i	$0.355184\pi$
$348$	−23.7692	−	3.41750i	−1.27416	−	0.183197i
$349$	−11.8794	−	5.42516i	−0.635892	−	0.290402i	0.0712667	−	0.997457i	$-0.477296\pi$
$349$	−11.8794	−	5.42516i	−0.635892	−	0.290402i	−0.707158	+	0.707055i	$0.750023\pi$
$350$	−17.9334	+	11.7347i	−0.958579	+	0.627246i
$351$	1.71334	+	3.75169i	0.0914513	+	0.200250i
$352$	0.982464	−	0.851310i	0.0523655	−	0.0453750i
$353$	−13.0707	+	1.87929i	−0.695685	+	0.100024i	−0.481080	−	0.876677i	$-0.659755\pi$
$353$	−13.0707	+	1.87929i	−0.695685	+	0.100024i	−0.214605	+	0.976701i	$0.568846\pi$
$354$	−9.23535	−	2.71174i	−0.490853	−	0.144128i
$355$	−7.10629	+	8.20110i	−0.377163	+	0.435269i
$356$	43.9469	+	28.2429i	2.32918	+	1.49687i
$357$	−3.91559	+	13.7529i	−0.207235	+	0.727882i
$358$	13.5948	−	15.6893i	0.718510	−	0.829204i
$359$	3.71903	−	12.6659i	0.196283	−	0.668479i	−0.801253	−	0.598326i	$-0.795833\pi$
$359$	3.71903	−	12.6659i	0.196283	−	0.668479i	0.997536	−	0.0701533i	$-0.0223489\pi$
$360$	0.316156	+	2.19891i	0.0166629	+	0.115893i
$361$	12.2676	+	14.1576i	0.645665	+	0.745137i
$362$	6.10949	+	13.3779i	0.321108	+	0.703128i
$363$	−3.08974	−	10.5227i	−0.162169	−	0.552298i
$364$	31.0623	+	4.20550i	1.62811	+	0.220428i
$365$	7.39043	+	1.06258i	0.386833	+	0.0556182i
$366$	6.35224	+	9.88428i	0.332037	+	0.516660i
$367$	19.4708			1.01637			0.508183	−	0.861249i	$-0.330318\pi$
$367$	19.4708			1.01637			0.508183	+	0.861249i	$0.330318\pi$
$368$	−5.30590	+	4.81180i	−0.276589	+	0.250832i
$369$		−	9.43989i		−	0.491421i
$370$	−0.679769	−	1.05774i	−0.0353395	−	0.0549894i
$371$	19.6195	−	2.98584i	1.01859	−	0.155017i
$372$	4.19744	−	9.19112i	0.217627	−	0.476537i
$373$	−9.56478	−	32.5747i	−0.495246	−	1.68665i	−0.705256	−	0.708953i	$-0.749168\pi$
$373$	−9.56478	−	32.5747i	−0.495246	−	1.68665i	0.210011	−	0.977699i	$-0.432650\pi$
$374$	1.97338	−	0.901213i	0.102041	−	0.0466006i
$375$	7.55722	−	6.54837i	0.390253	−	0.338156i
$376$	−7.45494	+	1.07186i	−0.384459	+	0.0552769i
$377$	9.71378	−	33.0821i	0.500285	−	1.70381i
$378$	−5.33221	−	2.38231i	−0.274259	−	0.122533i
$379$	0.131640	−	0.204837i	0.00676191	−	0.0105217i	−0.837856	−	0.545891i	$-0.816191\pi$
$379$	0.131640	−	0.204837i	0.00676191	−	0.0105217i	0.844618	+	0.535369i	$0.179828\pi$
$380$	−1.43968	−	0.925228i	−0.0738542	−	0.0474632i
$381$	6.24347	+	5.41000i	0.319863	+	0.277163i
$382$	−5.49132	+	18.7017i	−0.280960	+	0.956862i
$383$	−2.06449	−	14.3589i	−0.105491	−	0.733704i	−0.972074	−	0.234673i	$-0.924598\pi$
$383$	−2.06449	−	14.3589i	−0.105491	−	0.733704i	0.866584	−	0.499032i	$-0.166311\pi$
$384$	10.5367	−	9.13011i	0.537699	−	0.465919i
$385$	0.416373	−	0.366831i	0.0212203	−	0.0186955i
$386$	26.3976	−	7.75103i	1.34360	−	0.394517i
$387$	−8.49429	−	3.87921i	−0.431789	−	0.197191i
$388$	−2.94429	+	20.4780i	−0.149474	+	1.03961i
$389$	−14.6822	−	22.8460i	−0.744418	−	1.15834i	−0.982349	−	0.187055i	$-0.940106\pi$
$389$	−14.6822	−	22.8460i	−0.744418	−	1.15834i	0.237931	−	0.971282i	$-0.423531\pi$
$390$	−10.5008			−0.531728
$391$	−23.3283	+	11.2977i	−1.17976	+	0.571349i
$392$	−11.2206	+	7.47480i	−0.566727	+	0.377535i
$393$	7.46099	−	4.79489i	0.376357	−	0.241870i
$394$	−6.44671	+	44.8379i	−0.324781	+	2.25890i
$395$	4.15297	+	1.89660i	0.208959	+	0.0954282i
$396$	0.147164	+	0.501194i	0.00739526	+	0.0251859i
$397$	12.4054	−	5.66535i	0.622609	−	0.284336i	−0.0790260	−	0.996873i	$-0.525181\pi$
$397$	12.4054	−	5.66535i	0.622609	−	0.284336i	0.701635	+	0.712537i	$0.252454\pi$
$398$	0.337666	+	0.389687i	0.0169257	+	0.0195332i
$399$	1.23838	−	0.577913i	0.0619967	−	0.0289318i
$400$	−5.25881	−	1.54412i	−0.262940	−	0.0772062i
$401$	10.3538	+	8.97165i	0.517046	+	0.448023i	0.873878	−	0.486146i	$-0.161598\pi$
$401$	10.3538	+	8.97165i	0.517046	+	0.448023i	−0.356832	+	0.934169i	$0.616143\pi$
$402$	−4.48203	−	2.88043i	−0.223544	−	0.143663i
$403$	12.2046	+	7.84341i	0.607954	+	0.390708i
$404$	−11.6562	−	10.1002i	−0.579920	−	0.502503i
$405$	1.10668	+	0.324952i	0.0549916	+	0.0161470i
$406$	20.6462	+	44.2418i	1.02465	+	2.19569i
$407$	−0.0588081	−	0.0678682i	−0.00291501	−	0.00336410i
$408$	9.46904	−	4.32437i	0.468787	−	0.214088i
$409$	−2.34551	−	7.98808i	−0.115978	−	0.394985i	0.880959	−	0.473193i	$-0.156899\pi$
$409$	−2.34551	−	7.98808i	−0.115978	−	0.394985i	−0.996937	+	0.0782073i	$0.975080\pi$
$410$	21.8622	+	9.98412i	1.07970	+	0.493080i
$411$	−0.472968	+	3.28956i	−0.0233298	+	0.162262i
$412$	−14.2774	+	9.17555i	−0.703399	+	0.452047i
$413$	3.34125	+	11.0423i	0.164412	+	0.543355i
$414$	−3.21130	−	10.0874i	−0.157827	−	0.495770i
$415$	−10.3664			−0.508866
$416$	15.9409	+	24.8045i	0.781567	+	1.21614i
$417$	1.52178	−	10.5842i	0.0745221	−	0.518313i
$418$	−0.188595	−	0.0861284i	−0.00922448	−	0.00421268i
$419$	−4.67543	+	1.37283i	−0.228410	+	0.0670672i	−0.393935	−	0.919138i	$-0.628886\pi$
$419$	−4.67543	+	1.37283i	−0.228410	+	0.0670672i	0.165525	+	0.986206i	$0.447068\pi$
$420$	6.57740	−	5.79480i	0.320944	−	0.282757i
$421$	20.5656	−	17.8202i	1.00231	−	0.868505i	0.0109832	−	0.999940i	$-0.496504\pi$
$421$	20.5656	−	17.8202i	1.00231	−	0.868505i	0.991325	+	0.131435i	$0.0419584\pi$
$422$	3.27615	+	22.7861i	0.159480	+	1.10921i
$423$	−1.10168	+	3.75198i	−0.0535655	+	0.182427i
$424$	−10.9184	−	9.46082i	−0.530243	−	0.459458i
$425$	−16.6849	−	10.7227i	−0.809336	−	0.520128i
$426$	−11.2279	+	17.4710i	−0.543994	+	0.846471i
$427$	5.74460	−	12.8579i	0.278001	−	0.622236i
$428$	10.0038	−	34.0697i	0.483550	−	1.64682i
$429$	−0.742359	+	0.106735i	−0.0358414	+	0.00515322i
$430$	17.9680	−	15.5693i	0.866493	−	0.750821i
$431$	−17.8362	+	8.14552i	−0.859139	+	0.392356i	−0.795744	−	0.605633i	$-0.792920\pi$
$431$	−17.8362	+	8.14552i	−0.859139	+	0.392356i	−0.0633949	+	0.997989i	$0.520193\pi$
$432$	−0.420782	−	1.43305i	−0.0202449	−	0.0689477i
$433$	2.89909	−	6.34811i	0.139321	−	0.305071i	−0.827091	−	0.562068i	$-0.810006\pi$
$433$	2.89909	−	6.34811i	0.139321	−	0.305071i	0.966412	+	0.256997i	$0.0827331\pi$
$434$	−20.3091	+	3.09078i	−0.974867	+	0.148362i
$435$	−5.21292	−	8.11146i	−0.249940	−	0.388915i
$436$		−	57.9872i		−	2.77708i
$437$	2.27598	+	0.977859i	0.108875	+	0.0467773i
$438$	14.2892			0.682766
$439$	−12.8947	−	20.0646i	−0.615431	−	0.957629i	−0.999412	−	0.0342879i	$-0.989084\pi$
$439$	−12.8947	−	20.0646i	−0.615431	−	0.957629i	0.383981	−	0.923341i	$-0.374553\pi$
$440$	−0.399857	−	0.0574907i	−0.0190624	−	0.00274076i
$441$	1.11009	+	6.91142i	0.0528616	+	0.329115i
$442$	13.8627	+	47.2120i	0.659381	+	2.24564i
$443$	12.7530	+	27.9251i	0.605911	+	1.32676i	0.925336	+	0.379149i	$0.123783\pi$
$443$	12.7530	+	27.9251i	0.605911	+	1.32676i	−0.319425	+	0.947612i	$0.603490\pi$
$444$	−0.928986	−	1.07211i	−0.0440877	−	0.0508799i
$445$	2.98515	+	20.7621i	0.141509	+	0.984220i
$446$	−11.3772	+	38.7473i	−0.538727	+	1.83474i
$447$	2.54587	−	2.93809i	0.120415	−	0.138967i
$448$	−32.5545	−	9.26857i	−1.53805	−	0.437899i
$449$	20.7980	+	13.3661i	0.981520	+	0.630785i	0.929873	−	0.367881i	$-0.119917\pi$
$449$	20.7980	+	13.3661i	0.981520	+	0.630785i	0.0516471	+	0.998665i	$0.483553\pi$
$450$	5.30460	−	6.12183i	0.250061	−	0.288586i
$451$	1.64704	+	0.483615i	0.0775562	+	0.0227726i
$452$	33.4358	−	4.80735i	1.57269	−	0.226119i
$453$	−15.1434	+	13.1219i	−0.711500	+	0.616519i
$454$	−3.69900	−	8.09969i	−0.173603	−	0.380137i
$455$	6.89147	+	10.5318i	0.323077	+	0.493737i
$456$	−0.904950	−	0.413277i	−0.0423782	−	0.0193535i
$457$	3.80759	+	0.547448i	0.178111	+	0.0256085i	0.230793	−	0.973003i	$-0.425868\pi$
$457$	3.80759	+	0.547448i	0.178111	+	0.0256085i	−0.0526820	+	0.998611i	$0.516777\pi$
$458$	40.8866	−	26.2762i	1.91050	−	1.22781i
$459$		−	5.40469i		−	0.252269i
$460$	15.7750	+	1.90528i	0.735513	+	0.0888343i
$461$		−	17.2774i		−	0.804689i	−0.915488	−	0.402344i	$-0.868195\pi$
$461$		−	17.2774i		−	0.804689i	0.915488	−	0.402344i	$-0.131805\pi$
$462$	0.688832	−	0.808299i	0.0320474	−	0.0376055i
$463$	−4.72660	+	32.8742i	−0.219664	+	1.52779i	0.519619	+	0.854398i	$0.326074\pi$
$463$	−4.72660	+	32.8742i	−0.219664	+	1.52779i	−0.739282	+	0.673395i	$0.764835\pi$
$464$	−5.18671	+	11.3573i	−0.240787	+	0.527250i
$465$	3.89277	−	1.14302i	0.180523	−	0.0530063i
$466$	−3.68060	−	8.05938i	−0.170500	−	0.373344i
$467$	−5.25407	−	6.06352i	−0.243129	−	0.280586i	0.621049	−	0.783772i	$-0.286707\pi$
$467$	−5.25407	−	6.06352i	−0.243129	−	0.280586i	−0.864178	+	0.503185i	$0.832161\pi$
$468$	−11.7270	+	1.68608i	−0.542079	+	0.0779393i
$469$	0.0525471	+	6.38564i	0.00242640	+	0.294861i
$470$	−7.52413	−	6.51970i	−0.347062	−	0.300731i
$471$	−1.72146	+	2.67865i	−0.0793207	+	0.123425i
$472$	4.54058	−	7.06528i	0.208997	−	0.325206i
$473$	1.11200	−	1.28332i	0.0511300	−	0.0590071i
$474$	8.38361	+	2.46165i	0.385072	+	0.113067i
$475$	0.269752	+	1.87617i	0.0123771	+	0.0860845i
$476$	−34.7369	−	21.9222i	−1.59216	−	1.00480i
$477$	−6.82302	+	3.11597i	−0.312405	+	0.142670i
$478$	26.9593	−	7.91596i	1.23309	−	0.362067i
$479$	−0.337016	+	0.737963i	−0.0153987	+	0.0337184i	−0.917175	−	0.398484i	$-0.869536\pi$
$479$	−0.337016	+	0.737963i	−0.0153987	+	0.0337184i	0.901776	+	0.432203i	$0.142264\pi$
$480$	8.16172	+	1.17348i	0.372530	+	0.0535617i
$481$	1.71349	−	1.10119i	0.0781282	−	0.0502099i
$482$	44.6778			2.03502
$483$	−8.00969	+	9.84098i	−0.364454	+	0.447780i
$484$	31.5031			1.43196
$485$	−6.98831	+	4.49111i	−0.317323	+	0.203931i
$486$	2.18492	+	0.314144i	0.0991099	+	0.0142498i
$487$	−1.16815	+	2.55788i	−0.0529338	+	0.115909i	−0.934251	−	0.356617i	$-0.883930\pi$
$487$	−1.16815	+	2.55788i	−0.0529338	+	0.115909i	0.881317	+	0.472525i	$0.156658\pi$
$488$	−9.83674	+	2.88833i	−0.445288	+	0.130748i
$489$	15.2060	−	6.94433i	0.687638	−	0.314034i
$490$	−17.1805	−	4.73897i	−0.776135	−	0.214085i
$491$	−0.789073	−	5.48813i	−0.0356104	−	0.247676i	0.964239	−	0.265034i	$-0.0853833\pi$
$491$	−0.789073	−	5.48813i	−0.0356104	−	0.247676i	−0.999849	+	0.0173588i	$0.994474\pi$
$492$	26.0182	+	7.63962i	1.17299	+	0.344421i
$493$	−29.5876	+	34.1459i	−1.33256	+	1.53786i
$494$	2.54237	−	3.95600i	0.114386	−	0.177989i
$495$	−0.113393	+	0.176443i	−0.00509665	+	0.00793054i
$496$	−3.97039	−	3.44036i	−0.178276	−	0.154477i
$497$	24.8912	−	0.204828i	1.11652	−	0.00918781i
$498$	−19.6372	+	2.82341i	−0.879966	+	0.126520i
$499$	−21.6534	−	24.9894i	−0.969341	−	1.11868i	−0.992899	−	0.118957i	$-0.962045\pi$
$499$	−21.6534	−	24.9894i	−0.969341	−	1.11868i	0.0235580	−	0.999722i	$-0.492501\pi$
$500$	11.9326	+	26.1287i	0.533641	+	1.16851i
$501$	13.8174	−	4.05715i	0.617316	−	0.181260i
$502$	3.03440	−	6.64441i	0.135432	−	0.296555i
$503$	1.81101	−	12.5959i	0.0807491	−	0.561623i	−0.908778	−	0.417279i	$-0.862984\pi$
$503$	1.81101	−	12.5959i	0.0807491	−	0.561623i	0.989528	−	0.144344i	$-0.0461071\pi$
$504$	3.30528	−	3.87853i	0.147229	−	0.172763i
$505$		−	6.19292i		−	0.275581i
$506$	1.92454	−	0.0435080i	0.0855563	−	0.00193417i
$507$		−	4.01071i		−	0.178122i
$508$	−19.9638	+	12.8299i	−0.885750	+	0.569237i
$509$	−13.4497	−	1.93377i	−0.596146	−	0.0857129i	−0.162365	−	0.986731i	$-0.551912\pi$
$509$	−13.4497	−	1.93377i	−0.596146	−	0.0857129i	−0.433782	+	0.901018i	$0.642821\pi$
$510$	12.5169	+	5.71628i	0.554258	+	0.253121i
$511$	−9.37777	−	14.3314i	−0.414848	−	0.633985i
$512$	−6.82555	−	14.9459i	−0.301649	−	0.660520i
$513$	−0.390362	+	0.338251i	−0.0172349	+	0.0149341i
$514$	−10.2495	+	1.47366i	−0.452087	+	0.0650002i
$515$	−6.53852	−	1.91988i	−0.288122	−	0.0846001i
$516$	17.5662	−	20.2725i	0.773309	−	0.892446i
$517$	−0.598193	−	0.384435i	−0.0263085	−	0.0169074i
$518$	−0.789763	+	2.77392i	−0.0347002	+	0.121879i
$519$	−3.75613	+	4.33480i	−0.164876	+	0.190277i
$520$	2.58137	−	8.79133i	0.113200	−	0.385525i
$521$	−0.205262	−	1.42763i	−0.00899270	−	0.0625456i	0.984831	−	0.173517i	$-0.0555130\pi$
$521$	−0.205262	−	1.42763i	−0.00899270	−	0.0625456i	−0.993824	+	0.110971i	$0.964604\pi$
$522$	−12.0842	−	13.9459i	−0.528910	−	0.610395i
$523$	−10.3203	−	22.5983i	−0.451274	−	0.988153i	−0.989390	−	0.145282i	$-0.953591\pi$
$523$	−10.3203	−	22.5983i	−0.451274	−	0.988153i	0.538116	−	0.842871i	$-0.319136\pi$
$524$	7.17752	+	24.4444i	0.313551	+	1.06786i
$525$	−9.62121	−	1.30261i	−0.419904	−	0.0568505i
$526$	27.3978	+	3.93920i	1.19460	+	0.171757i
$527$	−10.2781	−	15.9931i	−0.447723	−	0.696671i
$528$	0.271592			0.0118195
$529$	−22.9765	+	1.03939i	−0.998978	+	0.0451908i
$530$		−	19.0973i		−	0.829532i
$531$	−2.35745	−	3.66826i	−0.102305	−	0.159189i
$532$	0.590627	+	3.88092i	0.0256069	+	0.168259i
$533$	−16.1737	+	35.4155i	−0.700562	+	1.53402i
$534$	11.3096	+	38.5171i	0.489415	+	1.66680i
$535$	12.9690	−	5.92275i	0.560699	−	0.256063i
$536$	3.51332	−	3.04431i	0.151752	−	0.131494i
$537$	9.30902	−	1.33843i	0.401714	−	0.0577577i
$538$	11.7258	−	39.9344i	0.505536	−	1.72170i
$539$	−1.26275	−	0.160393i	−0.0543907	−	0.00690863i
$540$	−1.79126	+	2.78726i	−0.0770836	+	0.119944i
$541$	−2.54177	−	1.63350i	−0.109279	−	0.0702296i	0.484860	−	0.874592i	$-0.338871\pi$
$541$	−2.54177	−	1.63350i	−0.109279	−	0.0702296i	−0.594139	+	0.804362i	$0.702507\pi$
$542$	−52.4710	−	45.4663i	−2.25382	−	1.95295i
$543$	−1.87707	+	6.39273i	−0.0805530	+	0.274338i
$544$	−5.49875	−	38.2446i	−0.235757	−	1.63973i
$545$	17.5964	−	15.2474i	0.753748	−	0.653126i
$546$	15.9231	+	18.0736i	0.681446	+	0.773477i
$547$	−7.35915	+	2.16084i	−0.314655	+	0.0923909i	−0.435247	−	0.900311i	$-0.643339\pi$
$547$	−7.35915	+	2.16084i	−0.314655	+	0.0923909i	0.120592	+	0.992702i	$0.461521\pi$
$548$	−8.68390	−	3.96580i	−0.370958	−	0.169411i
$549$	−0.757513	+	5.26862i	−0.0323299	+	0.224859i
$550$	0.796358	+	1.23916i	0.0339568	+	0.0528378i
$551$	4.31797			0.183952
$552$	9.23469	−	0.208768i	0.393054	−	0.00888575i
$553$	−3.03310	−	10.0239i	−0.128980	−	0.426259i
$554$	−6.94181	+	4.46123i	−0.294929	+	0.189539i
$555$	0.0810634	−	0.563808i	0.00344095	−	0.0239323i
$556$	27.9407	+	12.7601i	1.18495	+	0.541147i
$557$	4.74966	+	16.1758i	0.201249	+	0.685393i	0.996831	+	0.0795464i	$0.0253472\pi$
$557$	4.74966	+	16.1758i	0.201249	+	0.685393i	−0.795582	+	0.605846i	$0.792835\pi$
$558$	7.06283	−	3.22549i	0.298994	−	0.136546i
$559$	25.2215	+	29.1072i	1.06676	+	1.23110i
$560$	−1.92741	−	4.13016i	−0.0814480	−	0.174531i
$561$	0.942994	+	0.276888i	0.0398132	+	0.0116902i
$562$	−0.869246	−	0.753206i	−0.0366669	−	0.0317721i
$563$	31.8865	+	20.4922i	1.34385	+	0.863642i	0.997231	−	0.0743625i	$-0.0236922\pi$
$563$	31.8865	+	20.4922i	1.34385	+	0.863642i	0.346622	+	0.938005i	$0.387329\pi$
$564$	−9.44959	−	6.07288i	−0.397899	−	0.255714i
$565$	10.2506	+	8.88216i	0.431244	+	0.373675i
$566$	−43.6733	−	12.8237i	−1.83573	−	0.539018i
$567$	−1.11885	−	2.39753i	−0.0469873	−	0.100687i
$568$	−11.8667	−	13.6949i	−0.497916	−	0.574625i
$569$	−30.8000	+	14.0659i	−1.29120	+	0.589672i	−0.938246	−	0.345968i	$-0.887551\pi$
$569$	−30.8000	+	14.0659i	−1.29120	+	0.589672i	−0.352956	+	0.935640i	$0.614823\pi$
$570$	−0.370499	−	1.26180i	−0.0155185	−	0.0528512i
$571$	−13.3561	−	6.09952i	−0.558934	−	0.255257i	0.115856	−	0.993266i	$-0.463039\pi$
$571$	−13.3561	−	6.09952i	−0.558934	−	0.255257i	−0.674791	+	0.738009i	$0.735766\pi$
$572$	0.306602	−	2.13247i	0.0128197	−	0.0891629i
$573$	−7.42828	+	4.77386i	−0.310321	+	0.199431i
$574$	−15.9669	−	52.7680i	−0.666445	−	2.20249i
$575$	−9.84695	−	14.5864i	−0.410646	−	0.608296i
$576$	12.7934			0.533059
$577$	4.34932	+	6.76768i	0.181065	+	0.281742i	0.919907	−	0.392136i	$-0.128264\pi$
$577$	4.34932	+	6.76768i	0.181065	+	0.281742i	−0.738843	+	0.673878i	$0.764627\pi$
$578$	3.83591	−	26.6794i	0.159553	−	1.10972i
$579$	11.3373	+	5.17757i	0.471162	+	0.215173i
$580$	26.5755	−	7.80328i	1.10349	−	0.324013i
$581$	15.7193	+	17.8423i	0.652147	+	0.740221i
$582$	−12.0149	+	10.4109i	−0.498033	+	0.431548i
$583$	−0.194114	−	1.35009i	−0.00803938	−	0.0559151i
$584$	−3.51267	+	11.9630i	−0.145355	+	0.495034i
$585$	−3.59519	−	3.11525i	−0.148643	−	0.128800i
$586$	−61.9750	−	39.8289i	−2.56016	−	1.64532i
$587$	−10.9306	+	17.0083i	−0.451153	+	0.702008i	−0.990105	−	0.140328i	$-0.955184\pi$
$587$	−10.9306	+	17.0083i	−0.451153	+	0.702008i	0.538952	+	0.842337i	$0.318821\pi$
$588$	−19.9476	−	2.53372i	−0.822625	−	0.104489i
$589$	−0.511873	+	1.74328i	−0.0210913	+	0.0718305i
$590$	10.9888	−	1.57995i	0.452402	−	0.0650456i
$591$	−15.5091	+	13.4387i	−0.637961	+	0.552796i
$592$	−0.670931	+	0.306404i	−0.0275751	+	0.0125931i
$593$	5.76555	+	19.6357i	0.236763	+	0.806340i	0.989060	+	0.147516i	$0.0471276\pi$
$593$	5.76555	+	19.6357i	0.236763	+	0.806340i	−0.752297	+	0.658824i	$0.771054\pi$
$594$	−0.166746	+	0.365124i	−0.00684169	+	0.0149812i
$595$	−2.48147	−	16.3054i	−0.101730	−	0.668454i
$596$	6.03759	+	9.39467i	0.247309	+	0.384821i
$597$			0.233593i			0.00956033i
$598$	−5.23539	+	43.3470i	−0.214091	+	1.77259i
$599$	−42.0998			−1.72015			−0.860076	−	0.510166i	$-0.829584\pi$
$599$	−42.0998			−1.72015			−0.860076	+	0.510166i	$0.829584\pi$
$600$	3.82123	+	5.94595i	0.156001	+	0.242742i
$601$	−43.0800	−	6.19397i	−1.75727	−	0.252657i	−0.813102	−	0.582122i	$-0.802223\pi$
$601$	−43.0800	−	6.19397i	−1.75727	−	0.252657i	−0.944168	+	0.329464i	$0.893132\pi$
$602$	−54.0436	−	7.31691i	−2.20265	−	0.298215i
$603$	−0.679997	−	2.31586i	−0.0276916	−	0.0943090i
$604$	−23.9109	−	52.3576i	−0.972922	−	2.13040i
$605$	8.28355	+	9.55972i	0.336774	+	0.388658i
$606$	−1.68671	−	11.7314i	−0.0685181	−	0.476554i
$607$	−11.9954	+	40.8525i	−0.486877	+	1.65815i	0.239531	+	0.970889i	$0.423006\pi$
$607$	−11.9954	+	40.8525i	−0.486877	+	1.65815i	−0.726409	+	0.687263i	$0.758812\pi$
$608$	−2.41814	+	2.79068i	−0.0980686	+	0.113177i
$609$	−6.05643	+	21.2723i	−0.245419	+	0.861997i
$610$	−11.4006	−	7.32671i	−0.461596	−	0.296650i
$611$	10.5616	−	12.1887i	0.427275	−	0.493102i
$612$	14.8964	+	4.37397i	0.602150	+	0.176807i
$613$	24.3624	−	3.50278i	0.983987	−	0.141476i	0.368504	−	0.929626i	$-0.379870\pi$
$613$	24.3624	−	3.50278i	0.983987	−	0.141476i	0.615483	+	0.788150i	$0.288961\pi$
$614$	−33.7453	+	29.2405i	−1.36185	+	1.18005i
$615$	4.52305	+	9.90410i	0.182387	+	0.399372i
$616$	0.507381	+	0.775396i	0.0204430	+	0.0312416i
$617$	−24.6619	−	11.2627i	−0.992852	−	0.453420i	−0.148328	−	0.988938i	$-0.547389\pi$
$617$	−24.6619	−	11.2627i	−0.992852	−	0.453420i	−0.844524	+	0.535518i	$0.820116\pi$
$618$	−12.9089	−	1.85603i	−0.519274	−	0.0746603i
$619$	7.04889	−	4.53005i	0.283319	−	0.182078i	−0.391261	−	0.920280i	$-0.627961\pi$
$619$	7.04889	−	4.53005i	0.283319	−	0.182078i	0.674580	+	0.738202i	$0.264325\pi$
$620$			11.6543i			0.468047i
$621$	1.89316	−	4.40635i	0.0759697	−	0.176821i
$622$			65.3138i			2.61884i
$623$	31.2085	−	36.6211i	1.25034	−	1.46719i
$624$	−0.876661	+	6.09731i	−0.0350945	+	0.244088i
$625$	2.83090	−	6.19881i	0.113236	−	0.247953i
$626$	69.3143	−	20.3525i	2.77035	−	0.813450i
$627$	−0.0390183	−	0.0854381i	−0.00155824	−	0.00341207i
$628$	−5.98970	−	6.91248i	−0.239015	−	0.275838i
$629$	−2.64192	+	0.379851i	−0.105340	+	0.0151457i
$630$	6.73589	−	0.0554292i	0.268364	−	0.00220835i
$631$	−10.4959	−	9.09477i	−0.417836	−	0.362057i	0.420424	−	0.907328i	$-0.361881\pi$
$631$	−10.4959	−	9.09477i	−0.417836	−	0.362057i	−0.838260	+	0.545271i	$0.816427\pi$
$632$	−4.12182	+	6.41368i	−0.163957	+	0.255122i
$633$	−5.63825	+	8.77328i	−0.224100	+	0.348707i
$634$	−33.2071	+	38.3230i	−1.31882	+	1.52200i
$635$	−9.14265	−	2.68452i	−0.362815	−	0.106532i
$636$	−3.06640	−	21.3273i	−0.121591	−	0.845682i
$637$	7.67688	−	27.8315i	0.304169	−	1.10272i
$638$	3.05232	−	1.39395i	0.120843	−	0.0551869i
$639$	−9.02721	+	2.65063i	−0.357111	+	0.104857i
$640$	−6.68023	+	14.6277i	−0.264059	+	0.578209i
$641$	−6.88192	−	0.989471i	−0.271820	−	0.0390818i	0.00505709	−	0.999987i	$-0.498390\pi$
$641$	−6.88192	−	0.989471i	−0.271820	−	0.0390818i	−0.276877	+	0.960905i	$0.589299\pi$
$642$	22.9543	−	14.7518i	0.905934	−	0.582208i
$643$	−12.7776			−0.503899			−0.251950	−	0.967740i	$-0.581072\pi$
$643$	−12.7776			−0.503899			−0.251950	+	0.967740i	$0.581072\pi$
$644$	−20.6415	−	30.0405i	−0.813388	−	1.18376i
$645$	10.7707			0.424095
$646$	−5.18401	+	3.33156i	−0.203962	+	0.131079i
$647$	−41.7192	−	5.99831i	−1.64015	−	0.235818i	−0.740382	−	0.672187i	$-0.765355\pi$
$647$	−41.7192	−	5.99831i	−1.64015	−	0.235818i	−0.899768	+	0.436369i	$0.856264\pi$
$648$	−0.800113	+	1.75200i	−0.0314314	+	0.0688252i
$649$	0.760802	−	0.223391i	0.0298641	−	0.00876888i
$650$	−30.3900	+	13.8786i	−1.19199	+	0.544365i
$651$	−7.87022	−	4.96685i	−0.308458	−	0.194666i
$652$	6.83387	+	47.5306i	0.267635	+	1.86144i
$653$	40.2287	+	11.8122i	1.57427	+	0.462248i	0.948241	−	0.317551i	$-0.102861\pi$
$653$	40.2287	+	11.8122i	1.57427	+	0.462248i	0.626030	+	0.779799i	$0.284679\pi$
$654$	29.1804	−	33.6760i	1.14104	−	1.31684i
$655$	−5.53045	+	8.60555i	−0.216093	+	0.336247i
$656$	7.62247	−	11.8608i	0.297608	−	0.463087i
$657$	4.89225	+	4.23916i	0.190865	+	0.165385i
$658$	0.187921	+	22.8366i	0.00732591	+	0.890262i
$659$	26.5223	−	3.81333i	1.03316	−	0.148546i	0.395185	−	0.918602i	$-0.370681\pi$
$659$	26.5223	−	3.81333i	1.03316	−	0.148546i	0.637977	+	0.770055i	$0.279771\pi$
$660$	−0.394544	−	0.455328i	−0.0153576	−	0.0177236i
$661$	−11.5124	−	25.2086i	−0.447781	−	0.980503i	−0.990104	−	0.140333i	$-0.955183\pi$
$661$	−11.5124	−	25.2086i	−0.447781	−	0.980503i	0.542324	−	0.840170i	$-0.317545\pi$
$662$	26.1743	−	7.68546i	1.01729	−	0.298704i
$663$	−9.26007	+	20.2767i	−0.359631	+	0.787483i
$664$	2.46357	−	17.1345i	0.0956050	−	0.664947i
$665$	−1.02238	+	1.19969i	−0.0396461	+	0.0465221i
$666$		−	1.09011i		−	0.0422409i
$667$	−36.0829	+	17.4747i	−1.39714	+	0.676621i
$668$			41.3668i			1.60053i
$669$	−15.3903	+	9.89077i	−0.595025	+	0.382399i
$670$	6.08257	+	0.874542i	0.234990	+	0.0337865i
$671$	−0.880444	−	0.402085i	−0.0339892	−	0.0155223i
$672$	−10.3565	−	15.8271i	−0.399509	−	0.610543i
$673$	16.0175	+	35.0735i	0.617430	+	1.35198i	0.917374	+	0.398026i	$0.130305\pi$
$673$	16.0175	+	35.0735i	0.617430	+	1.35198i	−0.299945	+	0.953957i	$0.596968\pi$
$674$	12.0923	−	10.4780i	0.465777	−	0.403598i
$675$	3.63230	−	0.522246i	0.139807	−	0.0201013i
$676$	11.0543	+	3.24583i	0.425165	+	0.124840i
$677$	21.2009	−	24.4671i	0.814816	−	0.940347i	−0.184280	−	0.982874i	$-0.558995\pi$
$677$	21.2009	−	24.4671i	0.814816	−	0.940347i	0.999095	+	0.0425266i	$0.0135407\pi$
$678$	21.8370	+	14.0338i	0.838644	+	0.538964i
$679$	18.3268	+	5.21782i	0.703319	+	0.200242i
$680$	−7.86269	+	9.07403i	−0.301521	+	0.347973i
$681$	1.13648	−	3.87049i	0.0435500	−	0.148318i
$682$	0.200937	+	1.39755i	0.00769427	+	0.0535148i
$683$	6.60020	+	7.61703i	0.252550	+	0.291458i	0.867841	−	0.496842i	$-0.165507\pi$
$683$	6.60020	+	7.61703i	0.252550	+	0.291458i	−0.615291	+	0.788300i	$0.710962\pi$
$684$	−0.616368	−	1.34966i	−0.0235674	−	0.0516054i
$685$	−1.07994	−	3.67794i	−0.0412625	−	0.140527i
$686$	17.8955	+	36.7565i	0.683252	+	1.40337i
$687$	21.7938	+	3.13347i	0.831484	+	0.119549i
$688$	−7.54033	−	11.7330i	−0.287472	−	0.447315i
$689$	30.9366			1.17859
$690$	8.20253	+	9.04481i	0.312265	+	0.344330i
$691$			47.5765i			1.80990i	0.425523	+	0.904948i	$0.360090\pi$
$691$			47.5765i			1.80990i	−0.425523	+	0.904948i	$0.639910\pi$
$692$	−8.90775	−	13.8607i	−0.338622	−	0.526906i
$693$	0.475634	−	0.0723855i	0.0180679	−	0.00274970i
$694$	3.96232	−	8.67626i	0.150408	−	0.329346i
$695$	3.47474	+	11.8339i	0.131804	+	0.448884i
$696$	14.6462	−	6.68870i	0.555163	−	0.253534i
$697$	38.5581	−	33.4108i	1.46049	−	1.26552i
$698$	28.5342	−	4.10259i	1.08003	−	0.155285i
$699$	1.13082	−	3.85123i	0.0427717	−	0.145667i
$700$	11.3766	−	25.4637i	0.429995	−	0.962439i
$701$	21.7919	−	33.9089i	0.823069	−	1.28072i	−0.134035	−	0.990977i	$-0.542793\pi$
$701$	21.7919	−	33.9089i	0.823069	−	1.28072i	0.957104	−	0.289744i	$-0.0935702\pi$
$702$	−7.65890	−	4.92208i	−0.289066	−	0.185772i
$703$	0.192779	+	0.167044i	0.00727080	+	0.00630019i
$704$	−0.655419	+	2.23215i	−0.0247021	+	0.0841275i
$705$	−0.641875	−	4.46434i	−0.0241744	−	0.168137i
$706$	22.0292	−	19.0884i	0.829081	−	0.718403i
$707$	−10.6590	+	9.39077i	−0.400874	+	0.353176i
$708$	12.0183	−	3.52889i	0.451675	−	0.132624i
$709$	31.5689	+	14.4170i	1.18559	+	0.541443i	0.907884	−	0.419222i	$-0.137697\pi$
$709$	31.5689	+	14.4170i	1.18559	+	0.541443i	0.277711	+	0.960665i	$0.410424\pi$
$710$	3.40896	−	23.7099i	0.127936	−	0.889815i
$711$	2.14003	+	3.32995i	0.0802574	+	0.124883i
$712$	−35.0270			−1.31269
$713$	−2.77754	−	16.6391i	−0.104020	−	0.623141i
$714$	−9.14164	−	30.2117i	−0.342117	−	1.13064i
$715$	0.727723	−	0.467679i	0.0272153	−	0.0174902i
$716$	−3.84472	+	26.7406i	−0.143684	+	0.999344i
$717$	11.5785	+	5.28774i	0.432409	+	0.197474i
$718$	8.20934	+	27.9585i	0.306370	+	1.04340i
$719$	−45.7299	+	20.8841i	−1.70544	+	0.778847i	−0.708084	+	0.706129i	$0.750440\pi$
$719$	−45.7299	+	20.8841i	−1.70544	+	0.778847i	−0.997353	+	0.0727180i	$0.976833\pi$
$720$	1.12811	+	1.30191i	0.0420422	+	0.0485192i
$721$	6.61040	+	14.1651i	0.246184	+	0.527537i
$722$	−39.6764	−	11.6500i	−1.47660	−	0.433569i
$723$	15.2965	+	13.2545i	0.568882	+	0.492939i
$724$	−16.1005	−	10.3472i	−0.598370	−	0.384549i
$725$	−25.8073	−	16.5853i	−0.958458	−	0.615964i
$726$	18.2954	+	15.8530i	0.679005	+	0.588361i
$727$	46.9637	+	13.7898i	1.74179	+	0.511434i	0.989138	−	0.146989i	$-0.0469583\pi$
$727$	46.9637	+	13.7898i	1.74179	+	0.511434i	0.752647	+	0.658424i	$0.228777\pi$
$728$	−19.0456	+	8.88797i	−0.705878	+	0.329410i
$729$	0.654861	+	0.755750i	0.0242541	+	0.0279907i
$730$	−14.9919	+	6.84657i	−0.554875	+	0.253403i
$731$	−14.2190	−	48.4255i	−0.525909	−	1.79108i
$732$	−13.9083	−	6.35170i	−0.514065	−	0.234766i
$733$	−7.12408	+	49.5491i	−0.263134	+	1.83014i	0.245788	+	0.969324i	$0.420953\pi$
$733$	−7.12408	+	49.5491i	−0.263134	+	1.83014i	−0.508921	+	0.860813i	$0.669956\pi$
$734$	−36.1566	+	23.2365i	−1.33457	+	0.857673i
$735$	−4.47623	−	6.71939i	−0.165108	−	0.247849i
$736$	8.91329	−	33.1063i	0.328548	−	1.22032i
$737$	0.438901			0.0161671
$738$	11.2656	+	17.5296i	0.414692	+	0.645274i
$739$	−2.65326	+	18.4538i	−0.0976016	+	0.678834i	0.881007	+	0.473103i	$0.156866\pi$
$739$	−2.65326	+	18.4538i	−0.0976016	+	0.678834i	−0.978609	+	0.205731i	$0.934043\pi$
$740$	1.48836	+	0.679711i	0.0547132	+	0.0249867i
$741$	2.04406	−	0.600189i	0.0750903	−	0.0220485i
$742$	−32.8695	+	28.9586i	−1.20668	+	1.06310i
$743$	14.8752	−	12.8894i	0.545717	−	0.472867i	−0.337831	−	0.941207i	$-0.609693\pi$
$743$	14.8752	−	12.8894i	0.545717	−	0.472867i	0.883548	+	0.468340i	$0.155148\pi$
$744$	0.964172	+	6.70596i	0.0353483	+	0.245852i
$745$	−1.26330	+	4.30240i	−0.0462837	+	0.157628i
$746$	56.6362	+	49.0756i	2.07360	+	1.79678i
$747$	−7.56088	−	4.85908i	−0.276638	−	0.177784i
$748$	−1.52631	+	2.37499i	−0.0558075	+	0.0868382i
$749$	−29.8599	−	13.3407i	−1.09106	−	0.487458i
$750$	−6.21869	+	21.1789i	−0.227075	+	0.773345i
$751$	36.0102	−	5.17749i	1.31403	−	0.188929i	0.550574	−	0.834786i	$-0.314409\pi$
$751$	36.0102	−	5.17749i	1.31403	−	0.188929i	0.763458	+	0.645857i	$0.223500\pi$
$752$	−4.41384	+	3.82461i	−0.160956	+	0.139469i
$753$	3.01008	−	1.37466i	0.109693	−	0.0500953i
$754$	21.4421	+	73.0249i	0.780874	+	2.65941i
$755$	9.60087	−	21.0230i	0.349412	−	0.765104i
$756$	7.51354	−	1.14347i	0.273265	−	0.0415875i
$757$	−8.12756	−	12.6467i	−0.295401	−	0.459653i	0.661550	−	0.749901i	$-0.269899\pi$
$757$	−8.12756	−	12.6467i	−0.295401	−	0.459653i	−0.956952	+	0.290247i	$0.906262\pi$
$758$			0.537475i			0.0195220i
$759$	0.671819	+	0.556054i	0.0243855	+	0.0201835i
$760$	1.14747			0.0416231
$761$	−4.05170	−	6.30456i	−0.146874	−	0.228540i	0.760020	−	0.649900i	$-0.225189\pi$
$761$	−4.05170	−	6.30456i	−0.146874	−	0.228540i	−0.906894	+	0.421360i	$0.861553\pi$
$762$	−18.0503	−	2.59523i	−0.653892	−	0.0940154i
$763$	−52.9260	−	7.16560i	−1.91605	−	0.259412i
$764$	−7.14605	−	24.3372i	−0.258535	−	0.880489i
$765$	2.58962	+	5.67047i	0.0936278	+	0.205016i
$766$	20.9696	+	24.2002i	0.757664	+	0.874390i
$767$	2.55944	+	17.8013i	0.0924160	+	0.642767i
$768$	−1.46183	+	4.97852i	−0.0527491	+	0.179647i
$769$	−15.1660	+	17.5025i	−0.546901	+	0.631157i	−0.960158	−	0.279457i	$-0.909846\pi$
$769$	−15.1660	+	17.5025i	−0.546901	+	0.631157i	0.413257	+	0.910614i	$0.364391\pi$
$770$	−0.335415	+	1.17810i	−0.0120875	+	0.0424556i
$771$	−3.94634	−	2.53616i	−0.142124	−	0.0913376i
$772$	−23.4456	+	27.0576i	−0.843824	+	0.973825i
$773$	21.7140	+

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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.85697 + 1.19340i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(1.19330 - 2.61296i) q^{4} +(1.10668 - 0.324952i) q^{5} +(2.00791 - 0.916981i) q^{6} +(-2.23744 - 1.41204i) q^{7} +(0.274107 + 1.90645i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\)	\(q+(-1.85697 + 1.19340i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(1.19330 - 2.61296i) q^{4} +(1.10668 - 0.324952i) q^{5} +(2.00791 - 0.916981i) q^{6} +(-2.23744 - 1.41204i) q^{7} +(0.274107 + 1.90645i) q^{8} +(0.959493 + 0.281733i) q^{9} +(-1.66728 + 1.92415i) q^{10} +(-0.0983116 + 0.152976i) q^{11} +(-1.55302 + 2.41654i) q^{12} +(-3.11702 - 2.70091i) q^{13} +(5.84000 - 0.0480570i) q^{14} +(-1.14167 + 0.164147i) q^{15} +(0.978068 + 1.12875i) q^{16} +(2.24519 + 4.91628i) q^{17} +(-2.11797 + 0.621892i) q^{18} +(0.214571 - 0.469846i) q^{19} +(0.471520 - 3.27949i) q^{20} +(2.01371 + 1.71609i) q^{21} -0.401397i q^{22} +(0.108391 + 4.79461i) q^{23} -1.92606i q^{24} +(-3.08711 + 1.98397i) q^{25} +(9.01148 + 1.29566i) q^{26} +(-0.909632 - 0.415415i) q^{27} +(-6.35955 + 4.16137i) q^{28} +(3.47274 + 7.60424i) q^{29} +(1.92415 - 1.66728i) q^{30} +(-3.48170 + 0.500593i) q^{31} +(-6.85938 - 2.01409i) q^{32} +(0.119082 - 0.137428i) q^{33} +(-10.0364 - 6.44997i) q^{34} +(-2.93499 - 0.835619i) q^{35} +(1.88112 - 2.17093i) q^{36} +(-0.139133 + 0.473843i) q^{37} +(0.162263 + 1.12856i) q^{38} +(2.70091 + 3.11702i) q^{39} +(0.922855 + 2.02077i) q^{40} +(-2.65953 - 9.05751i) q^{41} +(-5.78739 - 0.783550i) q^{42} +(-9.24311 - 1.32896i) q^{43} +(0.282405 + 0.439431i) q^{44} +1.15341 q^{45} +(-5.92318 - 8.77409i) q^{46} +3.91037i q^{47} +(-0.807475 - 1.25646i) q^{48} +(3.01230 + 6.31871i) q^{49} +(3.36500 - 7.36833i) q^{50} +(-1.52268 - 5.18576i) q^{51} +(-10.7769 + 4.92166i) q^{52} +(-5.66877 + 4.91202i) q^{53} +(2.18492 - 0.314144i) q^{54} +(-0.0590902 + 0.201243i) q^{55} +(2.07869 - 4.65263i) q^{56} +(-0.279254 + 0.434527i) q^{57} +(-15.5237 - 9.97647i) q^{58} +(-3.29542 - 2.85550i) q^{59} +(-0.933441 + 3.17901i) q^{60} +(0.757513 + 5.26862i) q^{61} +(5.86801 - 5.08466i) q^{62} +(-1.74899 - 1.98520i) q^{63} +(12.2752 - 3.60432i) q^{64} +(-4.32722 - 1.97618i) q^{65} +(-0.0571248 + 0.397312i) q^{66} +(-1.30491 - 2.03047i) q^{67} +15.5253 q^{68} +(0.575056 - 4.76123i) q^{69} +(6.44742 - 1.95090i) q^{70} +(-7.91478 + 5.08652i) q^{71} +(-0.274107 + 1.90645i) q^{72} +(5.88839 + 2.68914i) q^{73} +(-0.307120 - 1.04595i) q^{74} +(3.33804 - 1.52443i) q^{75} +(-0.971643 - 1.12134i) q^{76} +(0.435974 - 0.203455i) q^{77} +(-8.73537 - 2.56494i) q^{78} +(2.99150 + 2.59215i) q^{79} +(1.44920 + 0.931346i) q^{80} +(0.841254 + 0.540641i) q^{81} +(15.7479 + 13.6456i) q^{82} +(-8.62357 - 2.53211i) q^{83} +(6.88704 - 3.21396i) q^{84} +(4.08227 + 4.71119i) q^{85} +(18.7502 - 8.56291i) q^{86} +(-2.35520 - 8.02106i) q^{87} +(-0.318589 - 0.145495i) q^{88} +(-2.58811 + 18.0007i) q^{89} +(-2.14184 + 1.37648i) q^{90} +(3.16036 + 10.4445i) q^{91} +(12.6575 + 5.43819i) q^{92} +3.51751 q^{93} +(-4.66665 - 7.26145i) q^{94} +(0.0847856 - 0.589697i) q^{95} +(6.50292 + 2.96978i) q^{96} +(-6.91043 + 2.02908i) q^{97} +(-13.1345 - 8.13877i) q^{98} +(-0.137428 + 0.119082i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

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