LMFDB - Embedded newform 230.2.j.a.9.7

Newspace parameters

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.j (of order $22$, degree $10$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			9.7
Character	$\chi$	$=$	230.9
Dual form			230.2.j.a.179.7

$q$-expansion

$f(q)$	$=$	$q+(0.281733 + 0.959493i) q^{2} +(-2.36951 + 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.736350 + 2.11135i) q^{5} +(-2.63759 - 1.69508i) q^{6} +(1.55660 + 0.710876i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.972037 - 6.76066i) q^{9} +O(q^{10})$	\(q+(0.281733 + 0.959493i) q^{2} +(-2.36951 + 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.736350 + 2.11135i) q^{5} +(-2.63759 - 1.69508i) q^{6} +(1.55660 + 0.710876i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.972037 - 6.76066i) q^{9} +(-2.23328 - 0.111687i) q^{10} +(-0.297817 - 0.0874469i) q^{11} +(0.883320 - 3.00831i) q^{12} +(-2.61029 + 1.19208i) q^{13} +(-0.243535 + 1.69382i) q^{14} +(-2.59022 - 6.51473i) q^{15} +(0.415415 - 0.909632i) q^{16} +(2.98994 - 4.65244i) q^{17} +(6.76066 - 0.972037i) q^{18} +(-3.72280 + 2.39250i) q^{19} +(-0.522024 - 2.17428i) q^{20} +(-5.14795 + 1.51157i) q^{21} -0.310390i q^{22} +(0.555747 + 4.76352i) q^{23} +3.13531 q^{24} +(-3.91558 - 3.10938i) q^{25} +(-1.87919 - 2.16871i) q^{26} +(6.49246 + 10.1025i) q^{27} +(-1.69382 + 0.243535i) q^{28} +(7.45852 + 4.79330i) q^{29} +(5.52109 - 4.32070i) q^{30} +(-5.47258 + 6.31570i) q^{31} +(0.989821 + 0.142315i) q^{32} +(0.885225 - 0.404269i) q^{33} +(5.30635 + 1.55809i) q^{34} +(-2.64711 + 2.76307i) q^{35} +(2.83736 + 6.21295i) q^{36} +(-5.64261 - 0.811285i) q^{37} +(-3.34442 - 2.89796i) q^{38} +(3.73754 - 8.18407i) q^{39} +(1.93913 - 1.11344i) q^{40} +(-0.124980 - 0.869253i) q^{41} +(-2.90069 - 4.51356i) q^{42} +(3.72558 - 3.22823i) q^{43} +(0.297817 - 0.0874469i) q^{44} +(13.5584 + 7.03052i) q^{45} +(-4.41399 + 1.87528i) q^{46} +10.0105i q^{47} +(0.883320 + 3.00831i) q^{48} +(-2.66636 - 3.07715i) q^{49} +(1.88028 - 4.63298i) q^{50} +(2.46766 + 17.1630i) q^{51} +(1.55143 - 2.41407i) q^{52} +(-3.19855 - 1.46073i) q^{53} +(-7.86411 + 9.07566i) q^{54} +(0.403928 - 0.564403i) q^{55} +(-0.710876 - 1.55660i) q^{56} +(3.90896 - 13.3127i) q^{57} +(-2.49783 + 8.50682i) q^{58} +(2.22335 + 4.86845i) q^{59} +(5.70116 + 4.08016i) q^{60} +(-3.37456 + 3.89445i) q^{61} +(-7.60167 - 3.47157i) q^{62} +(6.31907 - 9.83266i) q^{63} +(0.142315 + 0.989821i) q^{64} +(-0.594807 - 6.38902i) q^{65} +(0.637290 + 0.735472i) q^{66} +(-0.478081 - 1.62819i) q^{67} +5.53037i q^{68} +(-11.0973 - 10.1462i) q^{69} +(-3.39693 - 1.76144i) q^{70} +(7.87988 - 2.31374i) q^{71} +(-5.16191 + 4.47282i) q^{72} +(1.64086 + 2.55323i) q^{73} +(-0.811285 - 5.64261i) q^{74} +(15.6622 - 0.671724i) q^{75} +(1.83834 - 4.02540i) q^{76} +(-0.401418 - 0.347831i) q^{77} +(8.90555 + 1.28042i) q^{78} +(-3.42080 - 7.49052i) q^{79} +(1.61466 + 1.54689i) q^{80} +(-16.4657 - 4.83477i) q^{81} +(0.798832 - 0.364814i) q^{82} +(-0.701218 - 0.100820i) q^{83} +(3.51351 - 4.05481i) q^{84} +(7.62128 + 9.73864i) q^{85} +(4.14709 + 2.66517i) q^{86} +(-27.5146 + 3.95600i) q^{87} +(0.167809 + 0.261116i) q^{88} +(6.06502 + 6.99941i) q^{89} +(-2.92591 + 14.9899i) q^{90} -4.91060 q^{91} +(-3.04288 - 3.70687i) q^{92} -26.2014i q^{93} +(-9.60505 + 2.82030i) q^{94} +(-2.31011 - 9.62185i) q^{95} +(-2.63759 + 1.69508i) q^{96} +(17.0747 - 2.45497i) q^{97} +(2.20130 - 3.42529i) q^{98} +(-0.880687 + 1.92844i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{5}{11}\right)$

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 $

$2$	0.281733	+	0.959493i	0.199215	+	0.678464i
$2$	0.281733	+	0.959493i	0.199215	+	0.678464i
$3$	−2.36951	+	2.05319i	−1.36804	+	1.18541i	−0.405554	+	0.914071i	$0.632922\pi$
$3$	−2.36951	+	2.05319i	−1.36804	+	1.18541i	−0.962483	+	0.271341i	$0.912533\pi$
$4$	−0.841254	+	0.540641i	−0.420627	+	0.270320i
$5$	−0.736350	+	2.11135i	−0.329306	+	0.944223i
$5$	−0.736350	+	2.11135i	−0.329306	+	0.944223i
$6$	−2.63759	−	1.69508i	−1.07679	−	0.692013i
$7$	1.55660	+	0.710876i	0.588340	+	0.268686i	0.687262	−	0.726409i	$-0.258812\pi$
$7$	1.55660	+	0.710876i	0.588340	+	0.268686i	−0.0989224	+	0.995095i	$0.531540\pi$
$8$	−0.755750	−	0.654861i	−0.267198	−	0.231528i
$9$	0.972037	−	6.76066i	0.324012	−	2.25355i
$10$	−2.23328	−	0.111687i	−0.706224	−	0.0353186i
$11$	−0.297817	−	0.0874469i	−0.0897951	−	0.0263662i	0.236526	−	0.971625i	$-0.423991\pi$
$11$	−0.297817	−	0.0874469i	−0.0897951	−	0.0263662i	−0.326321	+	0.945259i	$0.605809\pi$
$12$	0.883320	−	3.00831i	0.254992	−	0.868424i
$13$	−2.61029	+	1.19208i	−0.723964	+	0.330623i	−0.743088	−	0.669194i	$-0.766640\pi$
$13$	−2.61029	+	1.19208i	−0.723964	+	0.330623i	0.0191239	+	0.999817i	$0.493912\pi$
$14$	−0.243535	+	1.69382i	−0.0650875	+	0.452694i
$15$	−2.59022	−	6.51473i	−0.668791	−	1.68210i
$16$	0.415415	−	0.909632i	0.103854	−	0.227408i
$17$	2.98994	−	4.65244i	0.725168	−	1.12838i	−0.261431	−	0.965222i	$-0.584195\pi$
$17$	2.98994	−	4.65244i	0.725168	−	1.12838i	0.986599	−	0.163161i	$-0.0521691\pi$
$18$	6.76066	−	0.972037i	1.59350	−	0.229111i
$19$	−3.72280	+	2.39250i	−0.854070	+	0.548877i	−0.892842	−	0.450371i	$-0.851292\pi$
$19$	−3.72280	+	2.39250i	−0.854070	+	0.548877i	0.0387719	+	0.999248i	$0.487655\pi$
$20$	−0.522024	−	2.17428i	−0.116728	−	0.486184i
$21$	−5.14795	+	1.51157i	−1.12337	+	0.329853i
$22$		−	0.310390i		−	0.0661753i
$23$	0.555747	+	4.76352i	0.115881	+	0.993263i
$23$	0.555747	+	4.76352i	0.115881	+	0.993263i
$24$	3.13531			0.639993
$25$	−3.91558	−	3.10938i	−0.783116	−	0.621876i
$26$	−1.87919	−	2.16871i	−0.368540	−	0.425318i
$27$	6.49246	+	10.1025i	1.24947	+	1.94422i
$28$	−1.69382	+	0.243535i	−0.320103	+	0.0460238i
$29$	7.45852	+	4.79330i	1.38501	+	0.890093i	0.999469	−	0.0325968i	$-0.0103777\pi$
$29$	7.45852	+	4.79330i	1.38501	+	0.890093i	0.385543	+	0.922690i	$0.374014\pi$
$30$	5.52109	−	4.32070i	1.00801	−	0.788849i
$31$	−5.47258	+	6.31570i	−0.982905	+	1.13433i	0.00802676	+	0.999968i	$0.497445\pi$
$31$	−5.47258	+	6.31570i	−0.982905	+	1.13433i	−0.990932	+	0.134365i	$0.957100\pi$
$32$	0.989821	+	0.142315i	0.174977	+	0.0251579i
$33$	0.885225	−	0.404269i	0.154098	−	0.0703742i
$34$	5.30635	+	1.55809i	0.910032	+	0.267209i
$35$	−2.64711	+	2.76307i	−0.447443	+	0.467045i
$36$	2.83736	+	6.21295i	0.472894	+	1.03549i
$37$	−5.64261	−	0.811285i	−0.927640	−	0.133374i	−0.338097	−	0.941111i	$-0.609783\pi$
$37$	−5.64261	−	0.811285i	−0.927640	−	0.133374i	−0.589543	+	0.807737i	$0.700692\pi$
$38$	−3.34442	−	2.89796i	−0.542537	−	0.470111i
$39$	3.73754	−	8.18407i	0.598485	−	1.31050i
$40$	1.93913	−	1.11344i	0.306604	−	0.176051i
$41$	−0.124980	−	0.869253i	−0.0195186	−	0.135755i	0.977732	−	0.209857i	$-0.0672999\pi$
$41$	−0.124980	−	0.869253i	−0.0195186	−	0.135755i	−0.997251	+	0.0741025i	$0.976391\pi$
$42$	−2.90069	−	4.51356i	−0.447586	−	0.696458i
$43$	3.72558	−	3.22823i	0.568146	−	0.492301i	−0.322765	−	0.946479i	$-0.604612\pi$
$43$	3.72558	−	3.22823i	0.568146	−	0.492301i	0.890911	+	0.454178i	$0.150067\pi$
$44$	0.297817	−	0.0874469i	0.0448975	−	0.0131831i
$45$	13.5584	+	7.03052i	2.02116	+	1.04805i
$46$	−4.41399	+	1.87528i	−0.650808	+	0.276494i
$47$			10.0105i			1.46019i	0.683347	+	0.730094i	$0.260524\pi$
$47$			10.0105i			1.46019i	−0.683347	+	0.730094i	$0.739476\pi$
$48$	0.883320	+	3.00831i	0.127496	+	0.434212i
$49$	−2.66636	−	3.07715i	−0.380909	−	0.439592i
$50$	1.88028	−	4.63298i	0.265912	−	0.655203i
$51$	2.46766	+	17.1630i	0.345541	+	2.40329i
$52$	1.55143	−	2.41407i	0.215144	−	0.334771i
$53$	−3.19855	−	1.46073i	−0.439355	−	0.200647i	0.183441	−	0.983031i	$-0.441276\pi$
$53$	−3.19855	−	1.46073i	−0.439355	−	0.200647i	−0.622796	+	0.782384i	$0.714003\pi$
$54$	−7.86411	+	9.07566i	−1.07017	+	1.23504i
$55$	0.403928	−	0.564403i	0.0544656	−	0.0761041i
$56$	−0.710876	−	1.55660i	−0.0949948	−	0.208010i
$57$	3.90896	−	13.3127i	0.517754	−	1.76331i
$58$	−2.49783	+	8.50682i	−0.327981	+	1.11700i
$59$	2.22335	+	4.86845i	0.289455	+	0.633819i	0.997370	−	0.0724793i	$-0.0230911\pi$
$59$	2.22335	+	4.86845i	0.289455	+	0.633819i	−0.707915	+	0.706298i	$0.750364\pi$
$60$	5.70116	+	4.08016i	0.736016	+	0.526747i
$61$	−3.37456	+	3.89445i	−0.432068	+	0.498633i	−0.929475	−	0.368884i	$-0.879740\pi$
$61$	−3.37456	+	3.89445i	−0.432068	+	0.498633i	0.497407	+	0.867517i	$0.334285\pi$
$62$	−7.60167	−	3.47157i	−0.965414	−	0.440890i
$63$	6.31907	−	9.83266i	0.796127	−	1.23880i
$64$	0.142315	+	0.989821i	0.0177894	+	0.123728i
$65$	−0.594807	−	6.38902i	−0.0737768	−	0.792460i
$66$	0.637290	+	0.735472i	0.0784449	+	0.0905303i
$67$	−0.478081	−	1.62819i	−0.0584069	−	0.198916i	0.925121	−	0.379673i	$-0.123963\pi$
$67$	−0.478081	−	1.62819i	−0.0584069	−	0.198916i	−0.983528	+	0.180757i	$0.942145\pi$
$68$			5.53037i			0.670656i
$69$	−11.0973	−	10.1462i	−1.33596	−	1.22145i
$70$	−3.39693	−	1.76144i	−0.406010	−	0.210532i
$71$	7.87988	−	2.31374i	0.935170	−	0.274591i	0.221570	−	0.975144i	$-0.428882\pi$
$71$	7.87988	−	2.31374i	0.935170	−	0.274591i	0.713600	+	0.700554i	$0.247064\pi$
$72$	−5.16191	+	4.47282i	−0.608337	+	0.527127i
$73$	1.64086	+	2.55323i	0.192048	+	0.298833i	0.923902	−	0.382628i	$-0.124981\pi$
$73$	1.64086	+	2.55323i	0.192048	+	0.298833i	−0.731854	+	0.681462i	$0.761345\pi$
$74$	−0.811285	−	5.64261i	−0.0943100	−	0.655940i
$75$	15.6622	−	0.671724i	1.80851	−	0.0775640i
$76$	1.83834	−	4.02540i	0.210872	−	0.461745i
$77$	−0.401418	−	0.347831i	−0.0457458	−	0.0396390i
$78$	8.90555	+	1.28042i	1.00835	+	0.144980i
$79$	−3.42080	−	7.49052i	−0.384871	−	0.842749i	−0.998583	−	0.0532193i	$-0.983052\pi$
$79$	−3.42080	−	7.49052i	−0.384871	−	0.842749i	0.613712	−	0.789530i	$-0.289675\pi$
$80$	1.61466	+	1.54689i	0.180524	+	0.172948i
$81$	−16.4657	−	4.83477i	−1.82953	−	0.537197i
$82$	0.798832	−	0.364814i	0.0882162	−	0.0402870i
$83$	−0.701218	−	0.100820i	−0.0769687	−	0.0110664i	0.103723	−	0.994606i	$-0.466924\pi$
$83$	−0.701218	−	0.100820i	−0.0769687	−	0.0110664i	−0.180692	+	0.983540i	$0.557834\pi$
$84$	3.51351	−	4.05481i	0.383356	−	0.442416i
$85$	7.62128	+	9.73864i	0.826644	+	1.05630i
$86$	4.14709	+	2.66517i	0.447192	+	0.287393i
$87$	−27.5146	+	3.95600i	−2.94988	+	0.424128i
$88$	0.167809	+	0.261116i	0.0178885	+	0.0278351i
$89$	6.06502	+	6.99941i	0.642891	+	0.741936i	0.979883	−	0.199572i	$-0.0639551\pi$
$89$	6.06502	+	6.99941i	0.642891	+	0.741936i	−0.336992	+	0.941507i	$0.609410\pi$
$90$	−2.92591	+	14.9899i	−0.308418	+	1.58007i
$91$	−4.91060			−0.514771
$92$	−3.04288	−	3.70687i	−0.317242	−	0.386468i
$93$		−	26.2014i		−	2.71696i
$94$	−9.60505	+	2.82030i	−0.990685	+	0.290891i
$95$	−2.31011	−	9.62185i	−0.237013	−	0.987181i
$96$	−2.63759	+	1.69508i	−0.269198	+	0.173003i
$97$	17.0747	−	2.45497i	1.73367	−	0.249265i	0.798132	−	0.602482i	$-0.205822\pi$
$97$	17.0747	−	2.45497i	1.73367	−	0.249265i	0.935541	+	0.353218i	$0.114913\pi$
$98$	2.20130	−	3.42529i	0.222365	−	0.346006i
$99$	−0.880687	+	1.92844i	−0.0885124	+	0.193815i
$100$	4.97505	+	0.498857i	0.497505	+	0.0498857i
$101$	1.14824	−	7.98619i	0.114254	−	0.794655i	−0.849447	−	0.527673i	$-0.823064\pi$
$101$	1.14824	−	7.98619i	0.114254	−	0.794655i	0.963702	−	0.266982i	$-0.0860264\pi$
$102$	−15.7725	+	7.20306i	−1.56171	+	0.713210i
$103$	−3.94676	+	13.4414i	−0.388886	+	1.32442i	0.499893	+	0.866087i	$0.333373\pi$
$103$	−3.94676	+	13.4414i	−0.388886	+	1.32442i	−0.888779	+	0.458336i	$0.848446\pi$
$104$	2.75337	+	0.808463i	0.269990	+	0.0792763i
$105$	0.599233	−	11.9822i	0.0584791	−	1.16934i
$106$	0.500424	−	3.48052i	0.0486054	−	0.338058i
$107$	1.03399	+	0.895959i	0.0999598	+	0.0866156i	0.703407	−	0.710787i	$-0.251661\pi$
$107$	1.03399	+	0.895959i	0.0999598	+	0.0866156i	−0.603447	+	0.797403i	$0.706207\pi$
$108$	−10.9236	−	4.98865i	−1.05112	−	0.480033i
$109$	11.7161	+	7.52948i	1.12220	+	0.721193i	0.963918	−	0.266201i	$-0.0857684\pi$
$109$	11.7161	+	7.52948i	1.12220	+	0.721193i	0.158281	+	0.987394i	$0.449405\pi$
$110$	0.655340	+	0.228555i	0.0624843	+	0.0217919i
$111$	15.0360	−	9.66302i	1.42715	−	0.917174i
$112$	1.29327	−	1.12063i	0.122203	−	0.105889i
$113$	5.33157	+	18.1577i	0.501552	+	1.70813i	0.688041	+	0.725672i	$0.258471\pi$
$113$	5.33157	+	18.1577i	0.501552	+	1.70813i	−0.186489	+	0.982457i	$0.559711\pi$
$114$	13.8747			1.29949
$115$	−10.4667	−	2.33424i	−0.976023	−	0.217669i
$116$	−8.86596			−0.823183
$117$	5.52195	+	18.8060i	0.510504	+	1.73862i
$118$	−4.04486	+	3.50489i	−0.372359	+	0.322651i
$119$	7.96146	−	5.11652i	0.729826	−	0.469031i
$120$	−2.30869	+	6.61973i	−0.210753	+	0.604296i
$121$	−9.17274	−	5.89496i	−0.833886	−	0.535906i
$122$	−4.68742	−	2.14067i	−0.424379	−	0.193807i
$123$	2.08089	+	1.80310i	0.187627	+	0.162580i
$124$	1.18931	−	8.27181i	0.106803	−	0.742830i
$125$	9.44822	−	5.97755i	0.845074	−	0.534649i
$126$	11.2147	+	3.29292i	0.999081	+	0.293357i
$127$	3.83108	−	13.0474i	0.339953	−	1.15777i	−0.595214	−	0.803567i	$-0.702933\pi$
$127$	3.83108	−	13.0474i	0.339953	−	1.15777i	0.935167	−	0.354207i	$-0.115249\pi$
$128$	−0.909632	+	0.415415i	−0.0804009	+	0.0367178i
$129$	−2.19962	+	15.2987i	−0.193666	+	1.34697i
$130$	5.96264	−	2.37071i	0.522958	−	0.207925i
$131$	5.42795	−	11.8856i	0.474243	−	1.03845i	−0.509764	−	0.860314i	$-0.670267\pi$
$131$	5.42795	−	11.8856i	0.474243	−	1.03845i	0.984007	−	0.178132i	$-0.0570055\pi$
$132$	−0.526135	+	0.818681i	−0.0457941	+	0.0712571i
$133$	−7.49569	+	1.07772i	−0.649959	+	0.0934500i
$134$	1.42755	−	0.917431i	0.123322	−	0.0792539i
$135$	−26.1105	+	6.26889i	−2.24724	+	0.539540i
$136$	−5.30635	+	1.55809i	−0.455016	+	0.133605i
$137$			4.70220i			0.401736i	0.979618	+	0.200868i	$0.0643763\pi$
$137$			4.70220i			0.401736i	−0.979618	+	0.200868i	$0.935624\pi$
$138$	6.60871	−	13.5063i	0.562570	−	1.14973i
$139$	−18.1229			−1.53716			−0.768581	−	0.639752i	$-0.779037\pi$
$139$	−18.1229			−1.53716			−0.768581	+	0.639752i	$0.779037\pi$
$140$	0.733060	−	3.75558i	0.0619549	−	0.317404i
$141$	−20.5536	−	23.7201i	−1.73092	−	1.99759i
$142$	4.44004	+	6.90883i	0.372600	+	0.579776i
$143$	0.881631	−	0.126759i	0.0737257	−	0.0106002i
$144$	−5.74592	−	3.69268i	−0.478826	−	0.307723i
$145$	−15.6124	+	12.2180i	−1.29654	+	1.01465i
$146$	−1.98752	+	2.29372i	−0.164489	+	0.189830i
$147$	12.6360	+	1.81678i	1.04220	+	0.149845i
$148$	5.18548	−	2.36813i	0.426244	−	0.194659i
$149$	−6.35080	−	1.86476i	−0.520278	−	0.152767i	0.0110414	−	0.999939i	$-0.496485\pi$
$149$	−6.35080	−	1.86476i	−0.520278	−	0.152767i	−0.531319	+	0.847172i	$0.678304\pi$
$150$	5.05706	+	14.8385i	0.412907	+	1.21156i
$151$	6.28751	+	13.7677i	0.511671	+	1.12040i	0.972498	+	0.232912i	$0.0748255\pi$
$151$	6.28751	+	13.7677i	0.511671	+	1.12040i	−0.460827	+	0.887490i	$0.652447\pi$
$152$	4.38026	+	0.629787i	0.355286	+	0.0510824i
$153$	−28.5473	−	24.7364i	−2.30791	−	1.99982i
$154$	0.220648	−	0.483153i	0.0177804	−	0.0389336i
$155$	−9.30490	−	16.2051i	−0.747387	−	1.30162i
$156$	1.28042	+	8.90555i	0.102516	+	0.713014i
$157$	11.3249	+	17.6219i	0.903828	+	1.40638i	0.913681	+	0.406432i	$0.133227\pi$
$157$	11.3249	+	17.6219i	0.903828	+	1.40638i	−0.00985312	+	0.999951i	$0.503136\pi$
$158$	6.22335	−	5.39256i	0.495103	−	0.429009i
$159$	10.5782	−	3.10603i	0.838903	−	0.246324i
$160$	−1.02933	+	1.98506i	−0.0813758	+	0.156933i
$161$	−2.52120	+	7.80997i	−0.198698	+	0.615512i
$162$		−	17.1609i		−	1.34828i
$163$	0.636868	+	2.16897i	0.0498833	+	0.169887i	0.980667	−	0.195683i	$-0.0626923\pi$
$163$	0.636868	+	2.16897i	0.0498833	+	0.169887i	−0.930784	+	0.365570i	$0.880874\pi$
$164$	0.575093	+	0.663693i	0.0449073	+	0.0518257i
$165$	0.201717	+	2.16670i	0.0157036	+	0.168677i
$166$	−0.100820	−	0.701218i	−0.00782514	−	0.0544251i
$167$	4.53256	−	7.05281i	0.350740	−	0.545763i	−0.620396	−	0.784289i	$-0.713028\pi$
$167$	4.53256	−	7.05281i	0.350740	−	0.545763i	0.971136	+	0.238526i	$0.0766643\pi$
$168$	4.88043	+	2.22882i	0.376533	+	0.171957i
$169$	−3.12063	+	3.60140i	−0.240049	+	0.277031i
$170$	−7.19699	+	10.0563i	−0.551984	+	0.771280i
$171$	12.5562	+	27.4942i	0.960196	+	2.10254i
$172$	−1.38884	+	4.72996i	−0.105898	+	0.360656i
$173$	1.67297	−	5.69761i	0.127193	−	0.433181i	−0.871131	−	0.491051i	$-0.836613\pi$
$173$	1.67297	−	5.69761i	0.127193	−	0.433181i	0.998324	+	0.0578702i	$0.0184310\pi$
$174$	−11.5475	−	25.2855i	−0.875415	−	1.91689i
$175$	−3.88461	−	7.62356i	−0.293649	−	0.576287i
$176$	−0.203262	+	0.234577i	−0.0153214	+	0.0176819i
$177$	−15.2641	−	6.97089i	−1.14732	−	0.523964i
$178$	−5.00717	+	7.79131i	−0.375303	+	0.583983i
$179$	0.668701	+	4.65092i	0.0499811	+	0.347626i	0.999432	+	0.0337095i	$0.0107321\pi$
$179$	0.668701	+	4.65092i	0.0499811	+	0.347626i	−0.949451	+	0.313916i	$0.898359\pi$
$180$	−15.2070	+	1.41575i	−1.13346	+	0.105524i
$181$	5.20359	+	6.00526i	0.386780	+	0.446368i	0.915433	−	0.402470i	$-0.131848\pi$
$181$	5.20359	+	6.00526i	0.386780	+	0.446368i	−0.528653	+	0.848838i	$0.677303\pi$
$182$	−1.38348	−	4.71169i	−0.102550	−	0.349253i
$183$		−	16.1566i		−	1.19433i
$184$	2.69944	−	3.96397i	0.199005	−	0.292228i
$185$	5.86784	−	11.3161i	0.431412	−	0.831978i
$186$	25.1400	−	7.38178i	1.84336	−	0.541259i
$187$	−1.29730	+	1.12411i	−0.0948677	+	0.0822034i
$188$	−5.41211	−	8.42141i	−0.394719	−	0.614194i
$189$	2.92457	+	20.3408i	0.212731	+	1.47958i
$190$	8.58126	−	4.92733i	0.622550	−	0.357466i
$191$	5.35322	−	11.7219i	0.387345	−	0.848167i	−0.611053	−	0.791590i	$-0.709254\pi$
$191$	5.35322	−	11.7219i	0.387345	−	0.848167i	0.998398	−	0.0565778i	$-0.0180189\pi$
$192$	−2.36951	−	2.05319i	−0.171005	−	0.148176i
$193$	8.50934	+	1.22346i	0.612515	+	0.0880664i	0.441589	−	0.897217i	$-0.354415\pi$
$193$	8.50934	+	1.22346i	0.612515	+	0.0880664i	0.170926	+	0.985284i	$0.445324\pi$
$194$	7.16603	+	15.6914i	0.514491	+	1.12658i
$195$	14.5273	+	13.9176i	1.04032	+	0.996659i
$196$	3.90672	+	1.14712i	0.279051	+	0.0819369i
$197$	7.48713	−	3.41926i	0.533436	−	0.243612i	−0.130438	−	0.991456i	$-0.541638\pi$
$197$	7.48713	−	3.41926i	0.533436	−	0.243612i	0.663874	+	0.747844i	$0.268911\pi$
$198$	−2.09844	−	0.301710i	−0.149130	−	0.0214416i
$199$	4.88897	−	5.64217i	0.346570	−	0.399963i	−0.555525	−	0.831500i	$-0.687483\pi$
$199$	4.88897	−	5.64217i	0.346570	−	0.399963i	0.902096	+	0.431536i	$0.142028\pi$
$200$	0.922985	+	4.91407i	0.0652649	+	0.347477i
$201$	4.47581	+	2.87643i	0.315700	+	0.202888i
$202$	7.98619	−	1.14824i	0.561906	−	0.0807899i
$203$	8.20250	+	12.7633i	0.575702	+	0.895810i
$204$	−11.3549	−	13.1043i	−0.795003	−	0.917483i
$205$	1.92732	+	0.376199i	0.134610	+	0.0262749i
$206$	−14.0089			−0.976046
$207$	32.7448	+	0.873097i	2.27592	+	0.0606844i
$208$			2.86961i			0.198972i
$209$	1.31793	−	0.386979i	0.0911631	−	0.0267679i
$210$	11.6656	−	2.80080i	0.805004	−	0.193274i
$211$	10.9253	−	7.02125i	0.752128	−	0.483363i	−0.107550	−	0.994200i	$-0.534301\pi$
$211$	10.9253	−	7.02125i	0.752128	−	0.483363i	0.859678	+	0.510837i	$0.170664\pi$
$212$	3.48052	−	0.500424i	0.239043	−	0.0343692i
$213$	−13.9209	+	21.6614i	−0.953845	+	1.48421i
$214$	−0.568357	+	1.24453i	−0.0388521	+	0.0850742i
$215$	4.07259	+	10.2431i	0.277749	+	0.698574i
$216$	1.70903	−	11.8866i	0.116285	−	0.808780i
$217$	−13.0083	+	5.94070i	−0.883061	+	0.403281i
$218$	−3.92368	+	13.3628i	−0.265745	+	0.905044i
$219$	−9.13032	−	2.68090i	−0.616970	−	0.181159i
$220$	−0.0346665	+	0.693186i	−0.00233722	+	0.0467346i
$221$	−2.25854	+	15.7085i	−0.151926	+	1.05667i
$222$	13.5077	+	11.7045i	0.906579	+	0.785555i
$223$	−0.179227	−	0.0818505i	−0.0120020	−	0.00548111i	0.409405	−	0.912353i	$-0.365736\pi$
$223$	−0.179227	−	0.0818505i	−0.0120020	−	0.00548111i	−0.421407	+	0.906872i	$0.638464\pi$
$224$	1.43959	+	0.925168i	0.0961866	+	0.0618154i
$225$	−24.8276	+	23.4495i	−1.65517	+	1.56330i
$226$	−15.9201	+	10.2312i	−1.05899	+	0.680570i
$227$	−5.27296	+	4.56905i	−0.349979	+	0.303258i	−0.812054	−	0.583583i	$-0.801650\pi$
$227$	−5.27296	+	4.56905i	−0.349979	+	0.303258i	0.462075	+	0.886841i	$0.347105\pi$
$228$	3.90896	+	13.3127i	0.258877	+	0.881655i
$229$	4.36872			0.288693			0.144347	−	0.989527i	$-0.453892\pi$
$229$	4.36872			0.288693			0.144347	+	0.989527i	$0.453892\pi$
$230$	−0.709114	−	10.7003i	−0.0467576	−	0.705559i
$231$	1.66533			0.109570
$232$	−2.49783	−	8.50682i	−0.163990	−	0.558500i
$233$	−9.11668	+	7.89965i	−0.597254	+	0.517523i	−0.900196	−	0.435486i	$-0.856577\pi$
$233$	−9.11668	+	7.89965i	−0.597254	+	0.517523i	0.302942	+	0.953009i	$0.402031\pi$
$234$	−16.4885	+	10.5965i	−1.07789	+	0.692718i
$235$	−21.1357	−	7.37126i	−1.37874	−	0.480848i
$236$	−4.50249	−	2.89357i	−0.293087	−	0.188355i
$237$	23.4851	+	10.7253i	1.52552	+	0.696683i
$238$	7.15227	+	6.19748i	0.463613	+	0.401723i
$239$	−3.41207	+	23.7314i	−0.220708	+	1.53506i	0.514661	+	0.857394i	$0.327918\pi$
$239$	−3.41207	+	23.7314i	−0.220708	+	1.53506i	−0.735370	+	0.677666i	$0.762991\pi$
$240$	−7.00202	−	0.350174i	−0.451979	−	0.0226036i
$241$	18.9449	+	5.56273i	1.22035	+	0.358327i	0.827600	−	0.561318i	$-0.189706\pi$
$241$	18.9449	+	5.56273i	1.22035	+	0.358327i	0.392750	+	0.919645i	$0.371524\pi$
$242$	3.07192	−	10.4620i	0.197470	−	0.672522i
$243$	16.1716	−	7.38533i	1.03741	−	0.473769i
$244$	0.733362	−	5.10064i	0.0469487	−	0.326535i
$245$	8.46030	−	3.36376i	0.540509	−	0.214903i
$246$	−1.14381	+	2.50459i	−0.0729264	+	0.159687i
$247$	6.86554	−	10.6830i	0.436844	−	0.679743i
$248$	8.27181	−	1.18931i	0.525260	−	0.0755210i
$249$	1.86855	−	1.20084i	0.118414	−	0.0761002i
$250$	8.39729	+	7.38143i	0.531091	+	0.466843i
$251$	22.0043	−	6.46105i	1.38890	−	0.407818i	0.500043	−	0.866001i	$-0.333318\pi$
$251$	22.0043	−	6.46105i	1.38890	−	0.407818i	0.888858	+	0.458182i	$0.151499\pi$
$252$			11.6881i			0.736281i
$253$	0.251044	−	1.46725i	0.0157830	−	0.0922455i
$254$	13.5983			0.853232
$255$	−38.0540	−	7.42785i	−2.38303	−	0.465150i
$256$	−0.654861	−	0.755750i	−0.0409288	−	0.0472343i
$257$	0.962922	+	1.49834i	0.0600654	+	0.0934636i	0.869987	−	0.493074i	$-0.164127\pi$
$257$	0.962922	+	1.49834i	0.0600654	+	0.0934636i	−0.809922	+	0.586538i	$0.800491\pi$
$258$	−15.2987	+	2.19962i	−0.952454	+	0.136942i
$259$	−8.20657	−	5.27405i	−0.509932	−	0.327713i
$260$	3.95455	+	5.05320i	0.245251	+	0.313386i
$261$	39.6558	−	45.7653i	2.45463	−	2.83280i
$262$	12.9333	+	1.85953i	0.799025	+	0.114882i
$263$	−4.55507	+	2.08023i	−0.280878	+	0.128273i	−0.550873	−	0.834589i	$-0.685705\pi$
$263$	−4.55507	+	2.08023i	−0.280878	+	0.128273i	0.269995	+	0.962862i	$0.412978\pi$
$264$	−0.933748	−	0.274173i	−0.0574682	−	0.0168742i
$265$	5.43936	−	5.67765i	0.334137	−	0.348775i
$266$	−3.14584	−	6.88843i	−0.192884	−	0.422357i
$267$	−28.7423	−	4.13251i	−1.75900	−	0.252906i
$268$	1.28246	+	1.11125i	0.0783384	+	0.0678806i
$269$	−4.11406	+	9.00853i	−0.250839	+	0.549260i	−0.992604	−	0.121400i	$-0.961262\pi$
$269$	−4.11406	+	9.00853i	−0.250839	+	0.549260i	0.741765	+	0.670660i	$0.233989\pi$
$270$	−13.3711	−	23.2867i	−0.813742	−	1.41719i
$271$	−2.86590	−	19.9327i	−0.174091	−	1.21083i	−0.870129	−	0.492823i	$-0.835965\pi$
$271$	−2.86590	−	19.9327i	−0.174091	−	1.21083i	0.696039	−	0.718004i	$-0.254944\pi$
$272$	−2.98994	−	4.65244i	−0.181292	−	0.282096i
$273$	11.6357	−	10.0824i	0.704226	−	0.610215i
$274$	−4.51173	+	1.32476i	−0.272564	+	0.0800319i
$275$	0.894219	+	1.26843i	0.0539234	+	0.0764892i
$276$	14.8211	+	2.53585i	0.892123	+	0.152640i
$277$		−	7.60380i		−	0.456868i	−0.973559	−	0.228434i	$-0.926640\pi$
$277$		−	7.60380i		−	0.456868i	0.973559	−	0.228434i	$-0.0733605\pi$
$278$	−5.10580	−	17.3888i	−0.306226	−	1.04291i
$279$	37.3788	+	43.1374i	2.23781	+	2.58257i
$280$	3.80998	−	0.354703i	0.227690	−	0.0211976i
$281$	−4.11003	−	28.5859i	−0.245184	−	1.70529i	−0.625327	−	0.780363i	$-0.715034\pi$
$281$	−4.11003	−	28.5859i	−0.245184	−	1.70529i	0.380143	−	0.924928i	$-0.375875\pi$
$282$	16.9687	−	26.4037i	1.01047	−	1.57232i
$283$	−2.82957	−	1.29222i	−0.168200	−	0.0768145i	0.329536	−	0.944143i	$-0.393108\pi$
$283$	−2.82957	−	1.29222i	−0.168200	−	0.0768145i	−0.497736	+	0.867329i	$0.665835\pi$
$284$	−5.37807	+	6.20663i	−0.319130	+	0.368296i
$285$	25.2294	+	18.0560i	1.49446	+	1.06954i
$286$	0.370009	+	0.810207i	0.0218791	+	0.0479085i
$287$	0.423388	−	1.44193i	0.0249918	−	0.0851142i
$288$	1.92429	−	6.55351i	0.113390	−	0.386170i
$289$	−5.64341	−	12.3574i	−0.331966	−	0.726903i
$290$	−16.1216	−	11.5378i	−0.946692	−	0.677522i
$291$	−35.4182	+	40.8747i	−2.07625	+	2.39612i
$292$	−2.76076	−	1.26080i	−0.161561	−	0.0737826i
$293$	5.33958	−	8.30854i	0.311941	−	0.485390i	−0.649515	−	0.760349i	$-0.725028\pi$
$293$	5.33958	−	8.30854i	0.311941	−	0.485390i	0.961456	+	0.274959i	$0.0886642\pi$
$294$	1.81678	+	12.6360i	0.105957	+	0.736944i
$295$	−11.9162	+	1.10938i	−0.693786	+	0.0645904i
$296$	3.73312	+	4.30825i	0.216983	+	0.250412i
$297$	−1.05013	−	3.57643i	−0.0609350	−	0.207525i
$298$		−	6.61891i		−	0.383423i
$299$	−7.12916	−	11.7717i	−0.412290	−	0.680774i
$300$	−12.8127	+	9.03270i	−0.739741	+	0.521503i
$301$	8.09412	−	2.37665i	0.466537	−	0.136988i
$302$	−11.4386	+	9.91164i	−0.658220	+	0.570351i
$303$	13.6764	+	21.2809i	0.785690	+	1.22256i
$304$	0.629787	+	4.38026i	0.0361207	+	0.251225i
$305$	−5.73768	−	9.99255i	−0.328539	−	0.572172i
$306$	15.6917	−	34.3599i	0.897032	−	1.96423i
$307$	−4.63490	−	4.01616i	−0.264527	−	0.229214i	0.512490	−	0.858693i	$-0.328723\pi$
$307$	−4.63490	−	4.01616i	−0.264527	−	0.229214i	−0.777018	+	0.629479i	$0.783268\pi$
$308$	0.525746	+	0.0755908i	0.0299571	+	0.00430719i
$309$	−18.2460	−	39.9531i	−1.03798	−	2.27285i
$310$	12.9272	−	13.4935i	0.734214	−	0.766379i
$311$	−21.3138	−	6.25829i	−1.20859	−	0.354875i	−0.385461	−	0.922724i	$-0.625957\pi$
$311$	−21.3138	−	6.25829i	−1.20859	−	0.354875i	−0.823132	+	0.567849i	$0.807776\pi$
$312$	−8.18407	+	3.73754i	−0.463332	+	0.211597i
$313$	−2.67400	−	0.384463i	−0.151143	−	0.0217311i	0.0663278	−	0.997798i	$-0.478872\pi$
$313$	−2.67400	−	0.384463i	−0.151143	−	0.0217311i	−0.217471	+	0.976067i	$0.569781\pi$
$314$	−13.7175	+	15.8309i	−0.774125	+	0.893387i
$315$	16.1071	+	20.5820i	0.907533	+	1.15967i
$316$	6.92744	+	4.45200i	0.389699	+	0.250444i
$317$	−22.4536	+	3.22835i	−1.26112	+	0.181322i	−0.740261	−	0.672320i	$-0.765298\pi$
$317$	−22.4536	+	3.22835i	−1.26112	+	0.181322i	−0.520861	+	0.853642i	$0.674389\pi$
$318$	5.96043	+	9.27460i	0.334244	+	0.520094i
$319$	−1.80211	−	2.07975i	−0.100899	−	0.116444i
$320$	−2.19465	−	0.428379i	−0.122685	−	0.0239471i
$321$	−4.28963			−0.239424
$322$	−8.20392	−	0.218747i	−0.457186	−	0.0121903i
$323$			24.4736i			1.36175i
$324$	16.4657	−	4.83477i	0.914763	−	0.268599i
$325$	13.9274	+	3.44871i	0.772554	+	0.191300i
$326$	−1.90169	+	1.22214i	−0.105325	+	0.0676881i
$327$	−43.2209	+	6.21423i	−2.39012	+	0.343648i
$328$	−0.474786	+	0.738782i	−0.0262157	+	0.0407924i
$329$	−7.11626	+	15.5824i	−0.392332	+	0.859087i
$330$	−2.02210	+	0.803976i	−0.111313	+	0.0442574i
$331$	0.372121	−	2.58816i	0.0204536	−	0.142258i	−0.977036	−	0.213076i	$-0.931652\pi$
$331$	0.372121	−	2.58816i	0.0204536	−	0.142258i	0.997489	+	0.0708180i	$0.0225609\pi$
$332$	0.644409	−	0.294292i	0.0353666	−	0.0161514i
$333$	−10.9697	+	37.3592i	−0.601133	+	2.04727i
$334$	8.04409	+	2.36196i	0.440153	+	0.129241i
$335$	3.78972	+	0.189525i	0.207054	+	0.0103549i
$336$	−0.763559	+	5.31067i	−0.0416556	+	0.289721i
$337$	−3.35311	−	2.90549i	−0.182656	−	0.158272i	0.558734	−	0.829347i	$-0.311287\pi$
$337$	−3.35311	−	2.90549i	−0.182656	−	0.158272i	−0.741389	+	0.671075i	$0.765833\pi$
$338$	−4.33470	−	1.97959i	−0.235777	−	0.107676i
$339$	−49.9144	−	32.0780i	−2.71098	−	1.74224i
$340$	−11.6765	−	4.07229i	−0.633249	−	0.220851i
$341$	2.18211	−	1.40236i	0.118168	−	0.0759420i
$342$	−22.8430	+	19.7936i	−1.23521	+	1.07031i
$343$	−5.33778	−	18.1788i	−0.288213	−	0.981564i
$344$	−4.92965			−0.265789
$345$	29.5936	−	15.9591i	1.59326	−	0.859209i
$346$	5.93814			0.319237
$347$	−8.32057	−	28.3373i	−0.446672	−	1.52122i	−0.808226	−	0.588873i	$-0.799572\pi$
$347$	−8.32057	−	28.3373i	−0.446672	−	1.52122i	0.361554	−	0.932351i	$-0.382246\pi$
$348$	21.0080	−	18.2035i	1.12615	−	0.975811i
$349$	22.9030	−	14.7189i	1.22597	−	0.787883i	0.242712	−	0.970098i	$-0.421963\pi$
$349$	22.9030	−	14.7189i	1.22597	−	0.787883i	0.983259	+	0.182215i	$0.0583267\pi$
$350$	6.22033	−	5.87506i	0.332490	−	0.314035i
$351$	−28.9901	−	18.6308i	−1.54738	−	0.994440i
$352$	−0.282340	−	0.128941i	−0.0150488	−	0.00687255i
$353$	−17.2894	−	14.9814i	−0.920222	−	0.797377i	0.0593985	−	0.998234i	$-0.481082\pi$
$353$	−17.2894	−	14.9814i	−0.920222	−	0.797377i	−0.979620	+	0.200857i	$0.935627\pi$
$354$	2.38812	−	16.6097i	0.126927	−	0.882798i
$355$	−0.917236	+	18.3409i	−0.0486818	+	0.973433i
$356$	−8.88639	−	2.60928i	−0.470978	−	0.138291i
$357$	−8.35957	+	28.4701i	−0.442435	+	1.50680i
$358$	−4.27413	+	1.95193i	−0.225895	+	0.103163i
$359$	−1.05822	+	7.36006i	−0.0558506	+	0.388449i	0.942654	+	0.333773i	$0.108322\pi$
$359$	−1.05822	+	7.36006i	−0.0558506	+	0.388449i	−0.998504	+	0.0546764i	$0.982587\pi$
$360$	−5.64271	−	14.1921i	−0.297397	−	0.747992i
$361$	0.242323	−	0.530613i	0.0127538	−	0.0279270i
$362$	−4.29599	+	6.68469i	−0.225792	+	0.351339i
$363$	33.8384	−	4.86523i	1.77606	−	0.255358i
$364$	4.13106	−	2.65487i	0.216526	−	0.139153i
$365$	−6.59901	+	1.58436i	−0.345408	+	0.0829292i
$366$	15.5021	−	4.55183i	0.810308	−	0.237928i
$367$			11.8624i			0.619214i	0.950865	+	0.309607i	$0.100197\pi$
$367$			11.8624i			0.619214i	−0.950865	+	0.309607i	$0.899803\pi$
$368$	4.56392	+	1.47331i	0.237911	+	0.0768018i
$369$	−5.99821			−0.312255
$370$	12.5109	+	2.44203i	0.650411	+	0.126955i
$371$	−3.94047	−	4.54755i	−0.204579	−	0.236097i
$372$	14.1655	+	22.0420i	0.734449	+	1.14283i
$373$	−14.6693	+	2.10912i	−0.759545	+	0.109206i	−0.511196	−	0.859464i	$-0.670797\pi$
$373$	−14.6693	+	2.10912i	−0.759545	+	0.109206i	−0.248350	+	0.968670i	$0.579888\pi$
$374$	−1.44407	−	0.928048i	−0.0746711	−	0.0479882i
$375$	−10.1146	+	33.5629i	−0.522315	+	1.73318i
$376$	6.55551	−	7.56547i	0.338075	−	0.390159i
$377$	−25.1829	−	3.62075i	−1.29698	−	0.186478i
$378$	−18.6929	+	8.53678i	−0.961462	+	0.439085i
$379$	−16.2047	−	4.75814i	−0.832382	−	0.244409i	−0.162342	−	0.986735i	$-0.551905\pi$
$379$	−16.2047	−	4.75814i	−0.832382	−	0.244409i	−0.670040	+	0.742325i	$0.733723\pi$
$380$	7.14536	+	6.84547i	0.366549	+	0.351165i
$381$	17.7112	+	38.7820i	0.907370	+	1.98686i
$382$	12.7553	+	1.83393i	0.652616	+	0.0938320i
$383$	−3.28913	−	2.85005i	−0.168067	−	0.145631i	0.566767	−	0.823878i	$-0.308194\pi$
$383$	−3.28913	−	2.85005i	−0.168067	−	0.145631i	−0.734833	+	0.678248i	$0.762740\pi$
$384$	1.30246	−	2.85198i	0.0664657	−	0.145540i
$385$	1.02998	−	0.591408i	0.0524924	−	0.0301409i
$386$	1.22346	+	8.50934i	0.0622724	+	0.433114i
$387$	−18.2036	−	28.3254i	−0.925341	−	1.43986i
$388$	−13.0369	+	11.2965i	−0.661848	+	0.573495i
$389$	7.24671	−	2.12783i	0.367423	−	0.107885i	−0.0928089	−	0.995684i	$-0.529585\pi$
$389$	7.24671	−	2.12783i	0.367423	−	0.107885i	0.460232	+	0.887799i	$0.347766\pi$
$390$	−9.26102	+	17.8599i	−0.468950	+	0.904369i
$391$	23.8237	+	11.6571i	1.20482	+	0.589524i
$392$			4.07165i			0.205649i
$393$	11.5418	+	39.3076i	0.582205	+	1.98281i
$394$	5.39012	+	6.22053i	0.271551	+	0.313386i
$395$	18.3340	−	1.70687i	0.922483	−	0.0858818i
$396$	−0.301710	−	2.09844i	−0.0151615	−	0.105451i
$397$	−4.68475	+	7.28961i	−0.235121	+	0.365855i	−0.938685	−	0.344777i	$-0.887955\pi$
$397$	−4.68475	+	7.28961i	−0.235121	+	0.365855i	0.703564	+	0.710632i	$0.251591\pi$
$398$	6.79101	+	3.10135i	0.340403	+	0.155457i
$399$	15.5484	−	17.9438i	0.778392	−	0.898312i
$400$	−4.45498	+	2.27005i	−0.222749	+	0.113503i
$401$	13.0882	+	28.6591i	0.653591	+	1.43117i	0.888375	+	0.459118i	$0.151834\pi$
$401$	13.0882	+	28.6591i	0.653591	+	1.43117i	−0.234784	+	0.972048i	$0.575438\pi$
$402$	−1.49893	+	5.10490i	−0.0747600	+	0.254609i
$403$	6.75621	−	23.0096i	0.336551	−	1.14619i
$404$	3.35170	+	7.33920i	0.166753	+	0.365139i
$405$	22.3324	−	31.2048i	1.10971	−	1.55058i
$406$	−9.93542	+	11.4661i	−0.493086	+	0.569052i
$407$	1.60952	+	0.735043i	0.0797809	+	0.0364347i
$408$	9.37441	−	14.5869i	0.464102	−	0.722157i
$409$	−2.35111	−	16.3523i	−0.116255	−	0.808571i	−0.961620	−	0.274383i	$-0.911526\pi$
$409$	−2.35111	−	16.3523i	−0.116255	−	0.808571i	0.845365	−	0.534188i	$-0.179383\pi$
$410$	0.182030	+	1.95524i	0.00898982	+	0.0965625i
$411$	−9.65453	−	11.1419i	−0.476223	−	0.549591i
$412$	−3.94676	−	13.4414i	−0.194443	−	0.662212i
$413$			9.15877i			0.450673i
$414$	8.38754	+	31.6644i	0.412225	+	1.55622i
$415$	0.729207	−	1.40628i	0.0357954	−	0.0690314i
$416$	−2.75337	+	0.808463i	−0.134995	+	0.0396381i
$417$	42.9424	−	37.2098i	2.10290	−	1.82217i
$418$	0.742607	+	1.15552i	0.0363221	+	0.0565183i
$419$	−3.93987	−	27.4024i	−0.192475	−	1.33869i	−0.825430	−	0.564505i	$-0.809067\pi$
$419$	−3.93987	−	27.4024i	−0.192475	−	1.33869i	0.632954	−	0.774189i	$-0.281842\pi$
$420$	5.97394	+	10.4040i	0.291498	+	0.507663i
$421$	0.893209	−	1.95586i	0.0435324	−	0.0953226i	−0.886616	−	0.462506i	$-0.846950\pi$
$421$	0.893209	−	1.95586i	0.0435324	−	0.0953226i	0.930149	+	0.367183i	$0.119678\pi$
$422$	9.81485	+	8.50462i	0.477779	+	0.413998i
$423$	67.6779	+	9.73062i	3.29061	+	0.473119i
$424$	1.46073	+	3.19855i	0.0709393	+	0.155335i
$425$	−26.1736	+	8.92013i	−1.26961	+	0.432690i
$426$	−24.7059	−	7.25430i	−1.19700	−	0.351472i
$427$	−8.02131	+	3.66321i	−0.388179	+	0.177275i
$428$	−1.35424	−	0.194710i	−0.0654597	−	0.00941169i
$429$	−1.82877	+	2.11052i	−0.0882940	+	0.101897i
$430$	−8.68081	+	6.79344i	−0.418626	+	0.327609i
$431$	21.5740	+	13.8648i	1.03918	+	0.667843i	0.944785	−	0.327691i	$-0.106271\pi$
$431$	21.5740	+	13.8648i	1.03918	+	0.667843i	0.0943993	+	0.995534i	$0.469907\pi$
$432$	11.8866	−	1.70903i	0.571894	−	0.0822259i
$433$	−4.89885	−	7.62275i	−0.235424	−	0.366326i	0.703360	−	0.710834i	$-0.251682\pi$
$433$	−4.89885	−	7.62275i	−0.235424	−	0.366326i	−0.938784	+	0.344508i	$0.888046\pi$
$434$	−9.36492	−	10.8077i	−0.449531	−	0.518786i
$435$	11.9079	−	61.0059i	0.570939	−	2.92501i
$436$	−13.9270			−0.666980
$437$	−13.4657	−	16.4040i	−0.644150	−	0.784711i
$438$		−	9.51578i		−	0.454681i
$439$	−5.31634	+	1.56102i	−0.253735	+	0.0745033i	−0.406126	−	0.913817i	$-0.633121\pi$
$439$	−5.31634	+	1.56102i	−0.253735	+	0.0745033i	0.152392	+	0.988320i	$0.451303\pi$
$440$	−0.674874	+	0.162031i	−0.0321733	+	0.00772451i
$441$	−23.3954	+	15.0353i	−1.11406	+	0.715966i
$442$	−15.7085	+	2.25854i	−0.747176	+	0.107428i
$443$	1.53783	−	2.39291i	0.0730644	−	0.113690i	−0.802799	−	0.596250i	$-0.796657\pi$
$443$	1.53783	−	2.39291i	0.0730644	−	0.113690i	0.875863	+	0.482560i	$0.160293\pi$
$444$	−7.42483	+	16.2581i	−0.352367	+	0.771576i
$445$	−19.2442	+	7.65136i	−0.912261	+	0.362709i
$446$	0.0280407	−	0.195027i	0.00132777	−	0.00923482i
$447$	18.8770	−	8.62084i	0.892852	−	0.407752i
$448$	−0.482113	+	1.64193i	−0.0227777	+	0.0775737i
$449$	27.7520	+	8.14873i	1.30970	+	0.384562i	0.860765	−	0.509003i	$-0.169986\pi$
$449$	27.7520	+	8.14873i	1.30970	+	0.384562i	0.448934	+	0.893565i	$0.351804\pi$
$450$	−29.4943	−	17.2154i	−1.39038	−	0.811541i
$451$	−0.0387924	+	0.269807i	−0.00182666	+	0.0127047i
$452$	−14.3020	−	12.3927i	−0.672708	−	0.582905i
$453$	−43.1661	−	19.7133i	−2.02812	−	0.926213i
$454$	−5.86953	−	3.77212i	−0.275471	−	0.177034i
$455$	3.61592	−	10.3680i	0.169517	−	0.486058i
$456$	−11.6722	+	7.50124i	−0.546599	+	0.351278i
$457$	20.6860	−	17.9245i	0.967648	−	0.838472i	−0.0192500	−	0.999815i	$-0.506128\pi$
$457$	20.6860	−	17.9245i	0.967648	−	0.838472i	0.986898	+	0.161343i	$0.0515824\pi$
$458$	1.23081	+	4.19176i	0.0575120	+	0.195868i
$459$	66.4133			3.09991
$460$	10.0671	−	3.69502i	0.469382	−	0.172281i
$461$	−13.1665			−0.613227			−0.306613	−	0.951834i	$-0.599196\pi$
$461$	−13.1665			−0.613227			−0.306613	+	0.951834i	$0.599196\pi$
$462$	0.469177	+	1.59787i	0.0218281	+	0.0743396i
$463$	−9.94827	+	8.62022i	−0.462335	+	0.400616i	−0.854641	−	0.519219i	$-0.826223\pi$
$463$	−9.94827	+	8.62022i	−0.462335	+	0.400616i	0.392306	+	0.919835i	$0.371677\pi$
$464$	7.45852	−	4.79330i	0.346253	−	0.222523i
$465$	55.3202	+	19.2934i	2.56541	+	0.894710i
$466$	−10.1481	−	6.52180i	−0.470103	−	0.302117i
$467$	34.6549	+	15.8264i	1.60364	+	0.732356i	0.997990	−	0.0633773i	$-0.0201871\pi$
$467$	34.6549	+	15.8264i	1.60364	+	0.732356i	0.605647	+	0.795734i	$0.292914\pi$
$468$	−14.8127	−	12.8352i	−0.684716	−	0.593310i
$469$	0.413263	−	2.87430i	0.0190827	−	0.132723i
$470$	1.11805	−	22.3563i	0.0515718	−	1.03122i
$471$	−63.0158	−	18.5031i	−2.90361	−	0.852578i
$472$	1.50786	−	5.13532i	0.0694051	−	0.236372i
$473$	−1.39184	+	0.635632i	−0.0639968	+	0.0292264i
$474$	−3.67432	+	25.5555i	−0.168767	+	1.17380i
$475$	22.0161	+	2.20759i	1.01017	+	0.101291i
$476$	−3.93141	+	8.60858i	−0.180196	+	0.394574i
$477$	−12.9846	+	20.2044i	−0.594524	+	0.925098i
$478$	−23.7314	+	3.41207i	−1.08545	+	0.156064i
$479$	−18.6979	+	12.0164i	−0.854328	+	0.549043i	−0.892922	−	0.450212i	$-0.851349\pi$
$479$	−18.6979	+	12.0164i	−0.854328	+	0.549043i	0.0385938	+	0.999255i	$0.487712\pi$
$480$	−1.63671	−	6.81705i	−0.0747051	−	0.311154i
$481$	15.6960	−	4.60875i	0.715675	−	0.210141i
$482$			19.7447i			0.899347i
$483$	−10.0614	−	23.6823i	−0.457808	−	1.07758i
$484$	10.9037			0.495621
$485$	−7.38966	+	37.8583i	−0.335547	+	1.71906i
$486$	11.6422	+	13.4359i	0.528103	+	0.609463i
$487$	−11.0194	−	17.1466i	−0.499338	−	0.776984i	0.496509	−	0.868032i	$-0.334615\pi$
$487$	−11.0194	−	17.1466i	−0.499338	−	0.776984i	−0.995847	+	0.0910472i	$0.970979\pi$
$488$	5.10064	−	0.733362i	0.230895	−	0.0331977i
$489$	−5.96239	−	3.83179i	−0.269628	−	0.173280i
$490$	5.61105	+	7.16992i	0.253481	+	0.323904i
$491$	5.40287	−	6.23524i	0.243828	−	0.281392i	−0.620624	−	0.784109i	$-0.713120\pi$
$491$	5.40287	−	6.23524i	0.243828	−	0.281392i	0.864451	+	0.502716i	$0.167666\pi$
$492$	−2.72538	−	0.391851i	−0.122870	−	0.0176660i
$493$	44.6011	−	20.3686i	2.00873	−	0.917357i
$494$	12.1845	+	3.57769i	0.548207	+	0.160968i
$495$	−3.42311	−	3.27944i	−0.153857	−	0.147400i
$496$	3.47157	+	7.60167i	0.155878	+	0.341325i
$497$	13.9106	+	2.00004i	0.623976	+	0.0897142i
$498$	1.67863	+	1.45454i	0.0752212	+	0.0651795i
$499$	2.26859	−	4.96751i	0.101556	−	0.222376i	−0.852033	−	0.523488i	$-0.824630\pi$
$499$	2.26859	−	4.96751i	0.101556	−	0.222376i	0.953589	+	0.301112i	$0.0973577\pi$
$500$	−4.71664	+	10.1367i	−0.210934	+	0.453328i
$501$	3.74081	+	26.0179i	0.167127	+	1.16240i
$502$	12.3987	+	19.2927i	0.553380	+	0.861076i
$503$	20.8418	−	18.0595i	0.929291	−	0.805235i	−0.0518251	−	0.998656i	$-0.516504\pi$
$503$	20.8418	−	18.0595i	0.929291	−	0.805235i	0.981116	+	0.193421i	$0.0619584\pi$
$504$	−11.2147	+	3.29292i	−0.499540	+	0.146678i
$505$	16.0161	+	8.30496i	0.712708	+	0.369566i
$506$	1.47855	−	0.172498i	0.0657295	−	0.00766848i
$507$		−	14.9408i		−	0.663545i
$508$	3.83108	+	13.0474i	0.169977	+	0.578887i
$509$	7.56688	+	8.73264i	0.335396	+	0.387068i	0.898247	−	0.439491i	$-0.144841\pi$
$509$	7.56688	+	8.73264i	0.335396	+	0.387068i	−0.562851	+	0.826558i	$0.690296\pi$
$510$	−3.59409	−	38.6052i	−0.159149	−	1.70947i
$511$	0.739137	+	5.14081i	0.0326975	+	0.227416i
$512$	0.540641	−	0.841254i	0.0238932	−	0.0371785i
$513$	−48.3403	−	22.0763i	−2.13428	−	0.974692i
$514$	−1.16636	+	1.34605i	−0.0514458	+	0.0593716i
$515$	−25.4733	−	18.2306i	−1.12249	−	0.803335i
$516$	−6.42065	−	14.0593i	−0.282653	−	0.618925i
$517$	0.875391	−	2.98131i	0.0384996	−	0.131118i
$518$	2.74835	−	9.36002i	0.120756	−	0.411256i
$519$	7.73417	+	16.9355i	0.339492	+	0.743385i
$520$	−3.73439	+	5.21801i	−0.163764	+	0.228825i
$521$	−20.4164	+	23.5618i	−0.894460	+	1.03226i	0.104827	+	0.994491i	$0.466571\pi$
$521$	−20.4164	+	23.5618i	−0.894460	+	1.03226i	−0.999286	+	0.0377712i	$0.987974\pi$
$522$	55.0838	+	25.1559i	2.41095	+	1.10104i
$523$	0.176307	−	0.274339i	0.00770937	−	0.0119960i	−0.837377	−	0.546625i	$-0.815912\pi$
$523$	0.176307	−	0.274339i	0.00770937	−	0.0119960i	0.845087	+	0.534629i	$0.179549\pi$
$524$	1.85953	+	12.9333i	0.0812341	+	0.564996i
$525$	24.8573	+	10.0882i	1.08486	+	0.440287i
$526$	−3.27928	−	3.78449i	−0.142983	−	0.165012i
$527$	13.0207	+	44.3445i	0.567191	+	1.93168i
$528$		−	0.973168i		−	0.0423517i
$529$	−22.3823	+	5.29463i	−0.973143	+	0.230201i
$530$	6.98011	+	3.61945i	0.303196	+	0.157219i
$531$	35.0752	−	10.2990i	1.52213	−	0.446938i
$532$	5.72312	−	4.95911i	0.248129	−	0.215005i
$533$	1.36245	+	2.12002i	0.0590143	+	0.0918281i
$534$	−4.13251	−	28.7423i	−0.178831	−	1.24380i
$535$	−2.65306	+	1.52338i	−0.114702	+	0.0658613i
$536$	−0.704931	+	1.54358i	−0.0304484	+	0.0666726i
$537$	−11.1337	−	9.64743i	−0.480456	−	0.416317i
$538$	−9.80269	−	1.40941i	−0.422624	−	0.0607641i
$539$	0.525000	+	1.14959i	0.0226134	+	0.0495164i
$540$	18.5764	−	19.3902i	0.799399	−	0.834419i
$541$	28.1698	+	8.27140i	1.21111	+	0.355615i	0.824093	−	0.566455i	$-0.191686\pi$
$541$	28.1698	+	8.27140i	1.21111	+	0.355615i	0.387022	+	0.922070i	$0.373504\pi$
$542$	18.3179	−	8.36551i	0.786822	−	0.359329i
$543$	−24.6599	−	3.54556i	−1.05826	−	0.152155i
$544$	3.62162	−	4.17958i	0.155276	−	0.179198i
$545$	−24.5245	+	19.1924i	−1.05051	+	0.822113i
$546$	12.9522	+	8.32385i	0.554301	+	0.356228i
$547$	4.78079	−	0.687374i	0.204412	−	0.0293900i	−0.0393482	−	0.999226i	$-0.512528\pi$
$547$	4.78079	−	0.687374i	0.204412	−	0.0293900i	0.243760	+	0.969836i	$0.421619\pi$
$548$	−2.54220	−	3.95575i	−0.108598	−	0.168981i
$549$	23.0489	+	26.5998i	0.983702	+	1.13525i
$550$	−0.965120	+	1.21535i	−0.0411528	+	0.0518229i
$551$	−39.2346			−1.67145
$552$	1.74244	+	14.9351i	0.0741632	+	0.635681i
$553$		−	14.0915i		−	0.599232i
$554$	7.29579	−	2.14224i	0.309968	−	0.0910149i
$555$	9.33028	+	38.8615i	0.396048	+	1.64958i
$556$	15.2459	−	9.79797i	0.646572	−	0.415526i
$557$	4.32690	−	0.622114i	0.183337	−	0.0263598i	−0.0500349	−	0.998747i	$-0.515933\pi$
$557$	4.32690	−	0.622114i	0.183337	−	0.0263598i	0.233372	+	0.972388i	$0.425024\pi$
$558$	−30.8592	+	48.0179i	−1.30637	+	2.03276i
$559$	−5.87653	+	12.8678i	−0.248551	+	0.544250i
$560$	1.41373	+	3.55572i	0.0597410	+	0.150256i
$561$	0.765936	−	5.32720i	0.0323378	−	0.224915i
$562$	26.2700	−	11.9971i	1.10813	−	0.506068i
$563$	1.99325	−	6.78837i	0.0840053	−	0.286096i	−0.906767	−	0.421632i	$-0.861457\pi$
$563$	1.99325	−	6.78837i	0.0840053	−	0.286096i	0.990772	+	0.135536i	$0.0432757\pi$
$564$	30.1148	+	8.84251i	1.26806	+	0.372337i
$565$	−42.2630	−	2.11359i	−1.77802	−	0.0889195i
$566$	0.442695	−	3.07901i	0.0186078	−	0.129420i
$567$	−22.1936	−	19.2309i	−0.932046	−	0.807622i
$568$	−7.47039	−	3.41161i	−0.313451	−	0.143148i
$569$	5.25212	+	3.37534i	0.220181	+	0.141501i	0.646082	−	0.763268i	$-0.276407\pi$
$569$	5.25212	+	3.37534i	0.220181	+	0.141501i	−0.425901	+	0.904770i	$0.640043\pi$
$570$	−10.2166	+	29.2943i	−0.427928	+	1.22701i
$571$	12.9792	−	8.34125i	0.543164	−	0.349070i	−0.240111	−	0.970745i	$-0.577184\pi$
$571$	12.9792	−	8.34125i	0.543164	−	0.349070i	0.783275	+	0.621675i	$0.213548\pi$
$572$	−0.673144	+	0.583283i	−0.0281456	+	0.0243883i
$573$	11.3828	+	38.7664i	0.475525	+	1.61949i
$574$	1.50280			0.0627256
$575$	12.6355	−	20.3800i	0.526938	−	0.849904i
$576$	6.83018			0.284591
$577$	−2.02733	−	6.90445i	−0.0843988	−	0.287436i	0.906469	−	0.422272i	$-0.138767\pi$
$577$	−2.02733	−	6.90445i	−0.0843988	−	0.287436i	−0.990868	+	0.134836i	$0.956949\pi$
$578$	10.2669	−	8.89628i	0.427045	−	0.370037i
$579$	−22.6750	+	14.5723i	−0.942339	+	0.605605i
$580$	6.52845	−	18.7191i	0.271079	−	0.777269i
$581$	−1.01985	−	0.655415i	−0.0423103	−	0.0271912i
$582$	−49.1975	−	22.4677i	−2.03930	−	0.931318i
$583$	0.824846	+	0.714733i	0.0341616	+	0.0296012i
$584$	0.431930	−	3.00414i	0.0178734	−	0.124312i
$585$	−43.7722	−	2.18906i	−1.80976	−	0.0905067i
$586$	9.47632	+	2.78250i	0.391463	+	0.114944i
$587$	−8.68032	+	29.5624i	−0.358275	+	1.22017i	0.561417	+	0.827533i	$0.310256\pi$
$587$	−8.68032	+	29.5624i	−0.358275	+	1.22017i	−0.919692	+	0.392640i	$0.871562\pi$
$588$	−11.6123	+	5.30314i	−0.478882	+	0.218698i
$589$	5.26304	−	36.6053i	0.216860	−	1.50829i
$590$	−4.42161	−	11.1209i	−0.182035	−	0.457841i
$591$	−10.7204	+	23.4745i	−0.440980	+	0.965612i
$592$	−3.08200	+	4.79568i	−0.126669	+	0.197101i
$593$	1.27477	−	0.183285i	0.0523487	−	0.00752661i	−0.116091	−	0.993239i	$-0.537036\pi$
$593$	1.27477	−	0.183285i	0.0523487	−	0.00752661i	0.168439	+	0.985712i	$0.446127\pi$
$594$	3.13570	−	2.01519i	0.128659	−	0.0826843i
$595$	4.94033	+	20.5770i	0.202534	+	0.843573i
$596$	6.35080	−	1.86476i	0.260139	−	0.0763837i
$597$			23.4072i			0.957993i
$598$	9.28632	−	10.1568i	0.379746	−	0.415344i
$599$	31.1765			1.27384			0.636918	−	0.770931i	$-0.280209\pi$
$599$	31.1765			1.27384			0.636918	+	0.770931i	$0.280209\pi$
$600$	−12.2766	−	9.74888i	−0.501188	−	0.397996i
$601$	−30.5586	−	35.2665i	−1.24651	−	1.43855i	−0.855207	−	0.518287i	$-0.826570\pi$
$601$	−30.5586	−	35.2665i	−1.24651	−	1.43855i	−0.391303	−	0.920262i	$-0.627976\pi$
$602$	4.56075	+	7.09667i	0.185882	+	0.289239i
$603$	−11.4724	+	1.64948i	−0.467192	+	0.0671720i
$604$	−12.7328	−	8.18287i	−0.518090	−	0.332956i
$605$	19.2007	−	15.0261i	0.780618	−	0.610897i
$606$	−16.5658	+	19.1180i	−0.672940	+	0.776614i
$607$	13.1523	+	1.89101i	0.533834	+	0.0767538i	0.403960	−	0.914777i	$-0.367634\pi$
$607$	13.1523	+	1.89101i	0.533834	+	0.0767538i	0.129874	+	0.991530i	$0.458543\pi$
$608$	−4.02540	+	1.83834i	−0.163251	+	0.0745545i
$609$	−45.6415	−	13.4015i	−1.84949	−	0.543058i
$610$	7.97129	−	8.32049i	0.322748	−	0.336887i
$611$	−11.9334	−	26.1304i	−0.482772	−	1.05712i
$612$	37.3890	+	5.37572i	1.51136	+	0.217301i
$613$	28.5393	+	24.7294i	1.15269	+	0.998813i	0.999944	+	0.0105473i	$0.00335738\pi$
$613$	28.5393	+	24.7294i	1.15269	+	0.998813i	0.152747	+	0.988265i	$0.451188\pi$
$614$	2.54768	−	5.57863i	0.102816	−	0.225135i
$615$	−5.33923	+	3.06576i	−0.215298	+	0.123623i
$616$	0.0755908	+	0.525746i	0.00304564	+	0.0211829i
$617$	5.74990	+	8.94702i	0.231482	+	0.360193i	0.937491	−	0.348010i	$-0.113142\pi$
$617$	5.74990	+	8.94702i	0.231482	+	0.360193i	−0.706009	+	0.708203i	$0.749506\pi$
$618$	33.1942	−	28.7630i	1.33527	−	1.15702i
$619$	−15.7414	+	4.62210i	−0.632701	+	0.185778i	−0.582330	−	0.812953i	$-0.697859\pi$
$619$	−15.7414	+	4.62210i	−0.632701	+	0.185778i	−0.0503714	+	0.998731i	$0.516041\pi$
$620$	16.5889	+	8.60198i	0.666227	+	0.345464i
$621$	−44.5152	+	36.5414i	−1.78633	+	1.46636i
$622$		−	22.2136i		−	0.890683i
$623$	4.46511	+	15.2068i	0.178891	+	0.609246i
$624$	−5.89186	−	6.79957i	−0.235863	−	0.272201i
$625$	5.66350	+	24.3500i	0.226540	+	0.974002i
$626$	−0.384463	−	2.67400i	−0.0153662	−	0.106874i
$627$	−2.32831	+	3.62291i	−0.0929836	+	0.144685i
$628$	−19.0543	−	8.70180i	−0.760348	−	0.347239i
$629$	−20.6456	+	23.8262i	−0.823192	+	0.950015i
$630$	−15.2104	+	21.2533i	−0.605997	+	0.846751i
$631$	12.3285	+	26.9957i	0.490791	+	1.07468i	0.979354	+	0.202154i	$0.0647941\pi$
$631$	12.3285	+	26.9957i	0.490791	+	1.07468i	−0.488563	+	0.872529i	$0.662479\pi$
$632$	−2.31997	+	7.90111i	−0.0922836	+	0.314289i
$633$	−11.4716	+	39.0687i	−0.455955	+	1.55284i
$634$	−9.42350	−	20.6346i	−0.374255	−	0.819504i
$635$	24.7267	+	17.6962i	0.981249	+	0.702253i
$636$	−7.21967	+	8.33194i	−0.286279	+	0.330383i
$637$	10.6282	+	4.85373i	0.421104	+	0.192312i
$638$	1.48779	−	2.31505i	0.0589022	−	0.0916536i
$639$	−7.98289	−	55.5223i	−0.315798	−	2.19643i
$640$	−0.207278	−	2.22644i	−0.00819339	−	0.0880078i
$641$	20.3803	+	23.5201i	0.804973	+	0.928988i	0.998643	−	0.0520783i	$-0.0165846\pi$
$641$	20.3803	+	23.5201i	0.804973	+	0.928988i	−0.193670	+	0.981067i	$0.562039\pi$
$642$	−1.20853	−	4.11587i	−0.0476968	−	0.162440i
$643$		−	33.3763i		−	1.31623i	−0.752915	−	0.658117i	$-0.771353\pi$
$643$		−	33.3763i		−	1.31623i	0.752915	−	0.658117i	$-0.228647\pi$
$644$	−2.10142	−	7.93323i	−0.0828077	−	0.312613i
$645$	−30.6811	−	15.9093i	−1.20807	−	0.626429i
$646$	−23.4822	+	6.89500i	−0.923896	+	0.271280i
$647$	8.42598	−	7.30115i	0.331259	−	0.287038i	−0.473311	−	0.880896i	$-0.656941\pi$
$647$	8.42598	−	7.30115i	0.331259	−	0.287038i	0.804570	+	0.593858i	$0.202396\pi$
$648$	9.27786	+	14.4366i	0.364469	+	0.567125i
$649$	−0.236419	−	1.64433i	−0.00928027	−	0.0645457i
$650$	0.614799	+	14.3349i	0.0241144	+	0.562260i
$651$	18.6259	−	40.7851i	0.730008	−	1.59849i
$652$	−1.70840	−	1.48034i	−0.0669062	−	0.0579746i
$653$	−21.6793	−	3.11701i	−0.848377	−	0.121978i	−0.295604	−	0.955310i	$-0.595521\pi$
$653$	−21.6793	−	3.11701i	−0.848377	−	0.121978i	−0.552772	+	0.833332i	$0.686430\pi$
$654$	−18.1392	−	39.7194i	−0.709300	−	1.55315i
$655$	21.0977	+	20.2122i	0.824355	+	0.789757i
$656$	−0.842619	−	0.247415i	−0.0328987	−	0.00965994i
$657$	18.8565	−	8.61148i	0.735663	−	0.335966i
$658$	−16.9561	−	2.43792i	−0.661018	−	0.0950400i
$659$	−22.0321	+	25.4265i	−0.858251	+	0.990474i	0.141749	+	0.989903i	$0.454727\pi$
$659$	−22.0321	+	25.4265i	−0.858251	+	0.990474i	−1.00000		0.000571471i	$0.999818\pi$
$660$	−1.34110	−	1.71369i	−0.0522023	−	0.0667052i
$661$	−7.41002	−	4.76213i	−0.288216	−	0.185225i	0.388541	−	0.921431i	$-0.372979\pi$
$661$	−7.41002	−	4.76213i	−0.288216	−	0.185225i	−0.676758	+	0.736206i	$0.736615\pi$
$662$	2.58816	−	0.372121i	0.100592	−	0.0144629i
$663$	−26.9009	−	41.8586i	−1.04474	−	1.62565i
$664$	0.463922	+	0.535395i	0.0180037	+	0.0207773i
$665$	3.24401	−	16.6196i	0.125797	−	0.644480i
$666$	−38.9364			−1.50876
$667$	−18.6879	+	38.1927i	−0.723599	+	1.47883i
$668$			8.38369i			0.324375i
$669$	0.592736	−	0.174043i	0.0229165	−	0.00672889i
$670$	0.885839	+	3.68960i	0.0342229	+	0.142542i
$671$	1.34556	−	0.864737i	0.0519447	−	0.0333828i
$672$	−5.31067	+	0.763559i	−0.204864	+	0.0294549i
$673$	17.3056	−	26.9280i	0.667082	−	1.03800i	−0.328537	−	0.944491i	$-0.606555\pi$
$673$	17.3056	−	26.9280i	0.667082	−	1.03800i	0.995618	−	0.0935085i	$-0.0298082\pi$
$674$	1.84312	−	4.03586i	0.0709942	−	0.155456i
$675$	5.99068	−	59.7445i	0.230581	−	2.29957i
$676$	0.678178	−	4.71683i	0.0260838	−	0.181417i
$677$	16.3642	−	7.47329i	0.628928	−	0.287222i	−0.0753378	−	0.997158i	$-0.524004\pi$
$677$	16.3642	−	7.47329i	0.628928	−	0.287222i	0.704266	+	0.709936i	$0.251276\pi$
$678$	16.7161	−	56.9299i	0.641980	−	2.18638i
$679$	28.3237	+	8.31658i	1.08696	+	0.319161i
$680$	0.617671	−	12.3508i	0.0236866	−	0.473633i
$681$	3.11320	−	21.6528i	0.119298	−	0.829738i
$682$	1.96033	+	1.69863i	0.0750648	+	0.0650440i
$683$	0.485409	+	0.221679i	0.0185737	+	0.00848231i	0.424680	−	0.905343i	$-0.360387\pi$
$683$	0.485409	+	0.221679i	0.0185737	+	0.00848231i	−0.406107	+	0.913826i	$0.633114\pi$
$684$	−25.4274	−	16.3412i	−0.972242	−	0.624822i
$685$	−9.92799	−	3.46247i	−0.379329	−	0.132294i
$686$	15.9386	−	10.2431i	0.608539	−	0.391085i
$687$	−10.3517	+	8.96982i	−0.394943	+	0.342220i
$688$	−1.38884	−	4.72996i	−0.0529491	−	0.180328i
$689$	10.0904			0.384416
$690$	23.6501	+	23.8986i	0.900344	+	0.909805i
$691$	−21.7415			−0.827084			−0.413542	−	0.910485i	$-0.635709\pi$
$691$	−21.7415			−0.827084			−0.413542	+	0.910485i	$0.635709\pi$
$692$	1.67297	+	5.69761i	0.0635967	+	0.216590i
$693$	−2.74176	+	2.37575i	−0.104151	+	0.0902472i
$694$	24.8452	−	15.9671i	0.943112	−	0.606101i
$695$	13.3448	−	38.2637i	0.506196	−	1.45142i
$696$	23.3848	+	15.0285i	0.886398	+	0.569653i
$697$	−4.41783	−	2.01756i	−0.167337	−	0.0764204i
$698$	20.5752	+	17.8285i	0.778782	+	0.674819i
$699$	5.38257	−	37.4366i	0.203588	−	1.41598i
$700$	7.38955	+	4.31317i	0.279299	+	0.163022i
$701$	13.8025	+	4.05279i	0.521315	+	0.153072i	0.531795	−	0.846873i	$-0.321518\pi$
$701$	13.8025	+	4.05279i	0.521315	+	0.153072i	−0.0104800	+	0.999945i	$0.503336\pi$
$702$	9.70869	−	33.0647i	0.366431	−	1.24795i
$703$	22.9473	−	10.4797i	0.865475	−	0.395249i
$704$	0.0441730	−	0.307230i	0.00166483	−	0.0115792i
$705$	65.2160	−	25.9295i	2.45618	−	0.976560i
$706$	9.50351	−	20.8098i	0.357669	−	0.783187i
$707$	7.46454	−	11.6151i	0.280733	−	0.436829i
$708$	16.6097	−	2.38812i	0.624233	−	0.0897511i
$709$	5.81078	−	3.73436i	0.218229	−	0.140247i	−0.426960	−	0.904271i	$-0.640415\pi$
$709$	5.81078	−	3.73436i	0.218229	−	0.140247i	0.645188	+	0.764024i	$0.276779\pi$
$710$	−17.8564	+	4.28714i	−0.670138	+	0.160894i
$711$	−53.9660	+	15.8458i	−2.02388	+	0.594266i
$712$		−	9.26154i		−	0.347091i
$713$	−33.1263	−	22.5588i	−1.24059	−	0.844835i
$714$	−29.6720			−1.11045
$715$	−0.381556	+	1.95477i	−0.0142694	+	0.0731042i
$716$	−3.07702	−	3.55107i	−0.114994	−	0.132710i
$717$	−40.6403	−	63.2376i	−1.51774	−	2.36165i
$718$	−7.36006	+	1.05822i	−0.274675	+	0.0394923i
$719$	41.3227	+	26.5565i	1.54108	+	0.990390i	0.987505	+	0.157588i	$0.0503719\pi$
$719$	41.3227	+	26.5565i	1.54108	+	0.990390i	0.553572	+	0.832802i	$0.313265\pi$
$720$	12.0275	−	9.41253i	0.448240	−	0.350784i
$721$	−15.6987	+	18.1173i	−0.584651	+	0.674723i
$722$	0.577389	+	0.0830160i	0.0214882	+	0.00308954i
$723$	−56.3116	+	25.7166i	−2.09425	+	0.956412i
$724$	−7.62423	−	2.23868i	−0.283352	−	0.0831997i
$725$	−14.3002	−	41.9599i	−0.531097	−	1.55835i
$726$	14.2015	+	31.0970i	0.527068	+	1.15412i
$727$	−36.9982	−	5.31953i	−1.37219	−	0.197291i	−0.583513	−	0.812104i	$-0.698322\pi$
$727$	−36.9982	−	5.31953i	−1.37219	−	0.197291i	−0.788673	+	0.614813i	$0.789231\pi$
$728$	3.71118	+	3.21576i	0.137546	+	0.119184i
$729$	−1.76868	+	3.87286i	−0.0655066	+	0.143439i
$730$	−3.37934	−	5.88534i	−0.125075	−	0.217826i
$731$	−3.87990	−	26.9853i	−0.143503	−	0.998087i
$732$	8.73490	+	13.5918i	0.322851	+	0.502366i
$733$	9.14567	−	7.92477i	0.337803	−	0.292708i	−0.469396	−	0.882988i	$-0.655528\pi$
$733$	9.14567	−	7.92477i	0.337803	−	0.292708i	0.807199	+	0.590280i	$0.200983\pi$
$734$	−11.3819	+	3.34203i	−0.420114	+	0.123357i
$735$	−13.1403	+	25.3411i	−0.484688	+	0.934721i
$736$	−0.127829	+	4.79413i	−0.00471185	+	0.176714i
$737$			0.526710i			0.0194016i
$738$	−1.68989	−	5.75524i	−0.0622058	−	0.211853i
$739$	1.02872	+	1.18720i	0.0378420	+	0.0436720i	0.774355	−	0.632751i	$-0.218074\pi$
$739$	1.02872	+	1.18720i	0.0378420	+	0.0436720i	−0.736513	+	0.676423i	$0.763529\pi$
$740$	1.18162	+	12.6921i	0.0434371	+	0.466572i
$741$	5.66627	+	39.4098i	0.208156	+	1.44775i
$742$	3.25318	−	5.06205i	0.119428	−	0.185834i
$743$	24.8085	+	11.3296i	0.910134	+	0.415644i	0.814761	−	0.579797i	$-0.196868\pi$
$743$	24.8085	+	11.3296i	0.910134	+	0.415644i	0.0953731	+	0.995442i	$0.469596\pi$
$744$	−17.1583	+	19.8017i	−0.629052	+	0.725965i
$745$	8.61357	−	12.0356i	0.315577	−	0.440951i
$746$	−6.15649	−	13.4808i	−0.225405	−	0.493569i
$747$	−1.36322	+	4.64270i	−0.0498776	+	0.169867i
$748$	0.483614	−	1.64704i	0.0176827	−	0.0602216i
$749$	0.972597	+	2.12969i	0.0355379	+	0.0778172i
$750$	−35.0530	−	0.249117i	−1.27995	−	0.00909646i
$751$	11.9351	−	13.7738i	0.435518	−	0.502615i	−0.494984	−	0.868902i	$-0.664826\pi$
$751$	11.9351	−	13.7738i	0.435518	−	0.502615i	0.930502	+	0.366288i	$0.119371\pi$
$752$	9.10591	+	4.15853i	0.332058	+	0.151646i
$753$	−38.8737	+	60.4887i	−1.41664	+	2.20433i
$754$	−3.62075	−	25.1829i	−0.131860	−	0.917106i
$755$	−33.6983	+	3.13726i	−1.22641	+	0.114176i
$756$	−13.4574	−	15.5307i	−0.489441	−	0.564845i
$757$	6.92289	+	23.5772i	0.251617	+	0.856928i	0.984322	+	0.176382i	$0.0564394\pi$
$757$	6.92289	+	23.5772i	0.251617	+	0.856928i	−0.732705	+	0.680546i	$0.761742\pi$
$758$		−	16.8889i		−	0.613431i
$759$	2.41770	+	3.99212i	0.0877571	+	0.144905i
$760$	−4.55510	+	8.78451i	−0.165231	+	0.318648i
$761$	−14.8972	+	4.37422i	−0.540024	+	0.158565i	−0.540359	−	0.841435i	$-0.681712\pi$
$761$	−14.8972	+	4.37422i	−0.540024	+	0.158565i	0.000335081		1.00000i	$0.499893\pi$
$762$	−32.2213	+	27.9199i	−1.16725	+	1.01143i
$763$	12.8848	+	20.0491i	0.466460	+	0.725826i
$764$	1.83393	+	12.7553i	0.0663493	+	0.461469i
$765$	73.2478	−	42.0586i	2.64828	−	1.52063i
$766$	1.80795	−	3.95885i	0.0653237	−	0.143039i
$767$	−11.6072	−	10.0577i	−0.419110	−	0.363161i
$768$	3.10340	+	0.446201i	0.111984	+	0.0161009i
$769$	21.4392	+	46.9453i	0.773117	+	1.69289i	0.719667	+	0.694319i	$0.244294\pi$
$769$	21.4392	+	46.9453i	0.773117	+	1.69289i	0.0534500	+	0.998571i	$0.482978\pi$
$770$	0.857629	+	0.821635i	0.0309068	+	0.0296097i
$771$	−5.35803	−	1.57326i	−0.192965	−	0.0566595i
$772$	−7.81996	+	3.57126i	−0.281447	+	0.128532i
$773$	28.1584	+

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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.281733 + 0.959493i) q^{2} +(-2.36951 + 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.736350 + 2.11135i) q^{5} +(-2.63759 - 1.69508i) q^{6} +(1.55660 + 0.710876i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.972037 - 6.76066i) q^{9} +O(q^{10})\)	\(q+(0.281733 + 0.959493i) q^{2} +(-2.36951 + 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.736350 + 2.11135i) q^{5} +(-2.63759 - 1.69508i) q^{6} +(1.55660 + 0.710876i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.972037 - 6.76066i) q^{9} +(-2.23328 - 0.111687i) q^{10} +(-0.297817 - 0.0874469i) q^{11} +(0.883320 - 3.00831i) q^{12} +(-2.61029 + 1.19208i) q^{13} +(-0.243535 + 1.69382i) q^{14} +(-2.59022 - 6.51473i) q^{15} +(0.415415 - 0.909632i) q^{16} +(2.98994 - 4.65244i) q^{17} +(6.76066 - 0.972037i) q^{18} +(-3.72280 + 2.39250i) q^{19} +(-0.522024 - 2.17428i) q^{20} +(-5.14795 + 1.51157i) q^{21} -0.310390i q^{22} +(0.555747 + 4.76352i) q^{23} +3.13531 q^{24} +(-3.91558 - 3.10938i) q^{25} +(-1.87919 - 2.16871i) q^{26} +(6.49246 + 10.1025i) q^{27} +(-1.69382 + 0.243535i) q^{28} +(7.45852 + 4.79330i) q^{29} +(5.52109 - 4.32070i) q^{30} +(-5.47258 + 6.31570i) q^{31} +(0.989821 + 0.142315i) q^{32} +(0.885225 - 0.404269i) q^{33} +(5.30635 + 1.55809i) q^{34} +(-2.64711 + 2.76307i) q^{35} +(2.83736 + 6.21295i) q^{36} +(-5.64261 - 0.811285i) q^{37} +(-3.34442 - 2.89796i) q^{38} +(3.73754 - 8.18407i) q^{39} +(1.93913 - 1.11344i) q^{40} +(-0.124980 - 0.869253i) q^{41} +(-2.90069 - 4.51356i) q^{42} +(3.72558 - 3.22823i) q^{43} +(0.297817 - 0.0874469i) q^{44} +(13.5584 + 7.03052i) q^{45} +(-4.41399 + 1.87528i) q^{46} +10.0105i q^{47} +(0.883320 + 3.00831i) q^{48} +(-2.66636 - 3.07715i) q^{49} +(1.88028 - 4.63298i) q^{50} +(2.46766 + 17.1630i) q^{51} +(1.55143 - 2.41407i) q^{52} +(-3.19855 - 1.46073i) q^{53} +(-7.86411 + 9.07566i) q^{54} +(0.403928 - 0.564403i) q^{55} +(-0.710876 - 1.55660i) q^{56} +(3.90896 - 13.3127i) q^{57} +(-2.49783 + 8.50682i) q^{58} +(2.22335 + 4.86845i) q^{59} +(5.70116 + 4.08016i) q^{60} +(-3.37456 + 3.89445i) q^{61} +(-7.60167 - 3.47157i) q^{62} +(6.31907 - 9.83266i) q^{63} +(0.142315 + 0.989821i) q^{64} +(-0.594807 - 6.38902i) q^{65} +(0.637290 + 0.735472i) q^{66} +(-0.478081 - 1.62819i) q^{67} +5.53037i q^{68} +(-11.0973 - 10.1462i) q^{69} +(-3.39693 - 1.76144i) q^{70} +(7.87988 - 2.31374i) q^{71} +(-5.16191 + 4.47282i) q^{72} +(1.64086 + 2.55323i) q^{73} +(-0.811285 - 5.64261i) q^{74} +(15.6622 - 0.671724i) q^{75} +(1.83834 - 4.02540i) q^{76} +(-0.401418 - 0.347831i) q^{77} +(8.90555 + 1.28042i) q^{78} +(-3.42080 - 7.49052i) q^{79} +(1.61466 + 1.54689i) q^{80} +(-16.4657 - 4.83477i) q^{81} +(0.798832 - 0.364814i) q^{82} +(-0.701218 - 0.100820i) q^{83} +(3.51351 - 4.05481i) q^{84} +(7.62128 + 9.73864i) q^{85} +(4.14709 + 2.66517i) q^{86} +(-27.5146 + 3.95600i) q^{87} +(0.167809 + 0.261116i) q^{88} +(6.06502 + 6.99941i) q^{89} +(-2.92591 + 14.9899i) q^{90} -4.91060 q^{91} +(-3.04288 - 3.70687i) q^{92} -26.2014i q^{93} +(-9.60505 + 2.82030i) q^{94} +(-2.31011 - 9.62185i) q^{95} +(-2.63759 + 1.69508i) q^{96} +(17.0747 - 2.45497i) q^{97} +(2.20130 - 3.42529i) q^{98} +(-0.880687 + 1.92844i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

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