LMFDB - Embedded newform 230.2.j.a.9.6

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			9.6
Character	$\chi$	$=$	230.9
Dual form			230.2.j.a.179.6

$q$-expansion

$f(q)$	$=$	$q+(-0.281733 - 0.959493i) q^{2} +(2.36951 - 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(1.30136 + 1.81837i) q^{5} +(-2.63759 - 1.69508i) q^{6} +(-1.55660 - 0.710876i) q^{7} +(0.755750 + 0.654861i) q^{8} +(0.972037 - 6.76066i) q^{9} +O(q^{10})$	\(q+(-0.281733 - 0.959493i) q^{2} +(2.36951 - 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(1.30136 + 1.81837i) 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} +(1.37808 - 1.76094i) 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} +(6.81705 + 1.63671i) 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} +(-2.07786 - 0.826143i) q^{20} +(-5.14795 + 1.51157i) q^{21} +0.310390i q^{22} +(-0.555747 - 4.76352i) q^{23} +3.13531 q^{24} +(-1.61294 + 4.73270i) 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} +(-0.350174 - 7.00202i) 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} +(-0.733060 - 3.75558i) 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} +(-0.207278 + 2.22644i) 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} +(4.99541 + 0.214245i) 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} +(-0.228555 - 0.655340i) 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} +(-6.61973 + 2.30869i) 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} +(5.56456 + 3.19515i) 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} +(5.89528 + 14.5259i) 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} +(2.19465 - 0.428379i) 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} +(-12.3508 + 0.617671i) 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} +(-10.5656 - 11.0284i) q^{90} -4.91060 q^{91} +(3.04288 + 3.70687i) q^{92} +26.2014i q^{93} +(-9.60505 + 2.82030i) q^{94} +(-9.19515 - 3.65593i) 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	$-0.367078\pi$
$3$	2.36951	−	2.05319i	1.36804	−	1.18541i	0.962483	−	0.271341i	$-0.0874670\pi$
$4$	−0.841254	+	0.540641i	−0.420627	+	0.270320i
$5$	1.30136	+	1.81837i	0.581985	+	0.813200i
$5$	1.30136	+	1.81837i	0.581985	+	0.813200i
$6$	−2.63759	−	1.69508i	−1.07679	−	0.692013i
$7$	−1.55660	−	0.710876i	−0.588340	−	0.268686i	0.0989224	−	0.995095i	$-0.468460\pi$
$7$	−1.55660	−	0.710876i	−0.588340	−	0.268686i	−0.687262	+	0.726409i	$0.741188\pi$
$8$	0.755750	+	0.654861i	0.267198	+	0.231528i
$9$	0.972037	−	6.76066i	0.324012	−	2.25355i
$10$	1.37808	−	1.76094i	0.435786	−	0.556857i
$11$	−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	−0.0191239	−	0.999817i	$-0.506088\pi$
$13$	2.61029	−	1.19208i	0.723964	−	0.330623i	0.743088	+	0.669194i	$0.233360\pi$
$14$	−0.243535	+	1.69382i	−0.0650875	+	0.452694i
$15$	6.81705	+	1.63671i	1.76015	+	0.422596i
$16$	0.415415	−	0.909632i	0.103854	−	0.227408i
$17$	−2.98994	+	4.65244i	−0.725168	+	1.12838i	0.261431	+	0.965222i	$0.415805\pi$
$17$	−2.98994	+	4.65244i	−0.725168	+	1.12838i	−0.986599	+	0.163161i	$0.947831\pi$
$18$	−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	$0.487655\pi$
$20$	−2.07786	−	0.826143i	−0.464623	−	0.184731i
$21$	−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
$25$	−1.61294	+	4.73270i	−0.322587	+	0.946540i
$26$	−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	$0.374014\pi$
$30$	−0.350174	−	7.00202i	−0.0639328	−	1.27839i
$31$	−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
$35$	−0.733060	−	3.75558i	−0.123910	−	0.634809i
$36$	2.83736	+	6.21295i	0.472894	+	1.03549i
$37$	5.64261	+	0.811285i	0.927640	+	0.133374i	0.589543	−	0.807737i	$-0.299308\pi$
$37$	5.64261	+	0.811285i	0.927640	+	0.133374i	0.338097	+	0.941111i	$0.390217\pi$
$38$	3.34442	+	2.89796i	0.542537	+	0.470111i
$39$	3.73754	−	8.18407i	0.598485	−	1.31050i
$40$	−0.207278	+	2.22644i	−0.0327735	+	0.352031i
$41$	−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	−0.890911	−	0.454178i	$-0.849933\pi$
$43$	−3.72558	+	3.22823i	−0.568146	+	0.492301i	0.322765	+	0.946479i	$0.395388\pi$
$44$	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	$-0.739476\pi$
$47$		−	10.0105i		−	1.46019i	0.683347	−	0.730094i	$-0.260524\pi$
$48$	−0.883320	−	3.00831i	−0.127496	−	0.434212i
$49$	−2.66636	−	3.07715i	−0.380909	−	0.439592i
$50$	4.99541	+	0.214245i	0.706457	+	0.0302988i
$51$	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	0.622796	−	0.782384i	$-0.285997\pi$
$53$	3.19855	+	1.46073i	0.439355	+	0.200647i	−0.183441	+	0.983031i	$0.558724\pi$
$54$	−7.86411	+	9.07566i	−1.07017	+	1.23504i
$55$	−0.228555	−	0.655340i	−0.0308184	−	0.0883661i
$56$	−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	$0.750364\pi$
$60$	−6.61973	+	2.30869i	−0.854604	+	0.298050i
$61$	−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
$65$	5.56456	+	3.19515i	0.690199	+	0.396309i
$66$	0.637290	+	0.735472i	0.0784449	+	0.0905303i
$67$	0.478081	+	1.62819i	0.0584069	+	0.198916i	0.983528	−	0.180757i	$-0.0578548\pi$
$67$	0.478081	+	1.62819i	0.0584069	+	0.198916i	−0.925121	+	0.379673i	$0.876037\pi$
$68$		−	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	0.731854	−	0.681462i	$-0.238655\pi$
$73$	−1.64086	−	2.55323i	−0.192048	−	0.298833i	−0.923902	+	0.382628i	$0.875019\pi$
$74$	−0.811285	−	5.64261i	−0.0943100	−	0.655940i
$75$	5.89528	+	14.5259i	0.680728	+	1.67730i
$76$	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	$-0.289675\pi$
$80$	2.19465	−	0.428379i	0.245369	−	0.0478942i
$81$	−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	0.180692	−	0.983540i	$-0.442166\pi$
$83$	0.701218	+	0.100820i	0.0769687	+	0.0110664i	−0.103723	+	0.994606i	$0.533076\pi$
$84$	3.51351	−	4.05481i	0.383356	−	0.442416i
$85$	−12.3508	+	0.617671i	−1.33964	+	0.0669959i
$86$	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	$0.609410\pi$
$90$	−10.5656	−	11.0284i	−1.11371	−	1.16250i
$91$	−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
$95$	−9.19515	−	3.65593i	−0.943403	−	0.375091i
$96$	−2.63759	+	1.69508i	−0.269198	+	0.173003i
$97$	−17.0747	+	2.45497i	−1.73367	+	0.249265i	−0.935541	−	0.353218i	$-0.885087\pi$
$97$	−17.0747	+	2.45497i	−1.73367	+	0.249265i	−0.798132	+	0.602482i	$0.794178\pi$
$98$	−2.20130	+	3.42529i	−0.222365	+	0.346006i
$99$	−0.880687	+	1.92844i	−0.0885124	+	0.193815i
$100$	−1.20180	−	4.85342i	−0.120180	−	0.485342i
$101$	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	$-0.666627\pi$
$103$	3.94676	−	13.4414i	0.388886	−	1.32442i	0.888779	−	0.458336i	$-0.151554\pi$
$104$	2.75337	+	0.808463i	0.269990	+	0.0792763i
$105$	−9.44792	−	7.39377i	−0.922023	−	0.721558i
$106$	0.500424	−	3.48052i	0.0486054	−	0.338058i
$107$	−1.03399	−	0.895959i	−0.0999598	−	0.0866156i	0.603447	−	0.797403i	$-0.293793\pi$
$107$	−1.03399	−	0.895959i	−0.0999598	−	0.0866156i	−0.703407	+	0.710787i	$0.748339\pi$
$108$	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	$0.449405\pi$
$110$	−0.564403	+	0.403928i	−0.0538137	+	0.0385130i
$111$	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	$-0.741529\pi$
$113$	−5.33157	−	18.1577i	−0.501552	−	1.70813i	0.186489	−	0.982457i	$-0.440289\pi$
$114$	13.8747			1.29949
$115$	7.93862	−	7.20960i	0.740280	−	0.672299i
$116$	−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
$120$	4.08016	+	5.70116i	0.372466	+	0.520442i
$121$	−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
$125$	−10.7048	+	3.22602i	−0.957467	+	0.288544i
$126$	11.2147	+	3.29292i	0.999081	+	0.293357i
$127$	−3.83108	+	13.0474i	−0.339953	+	1.15777i	0.595214	+	0.803567i	$0.297067\pi$
$127$	−3.83108	+	13.0474i	−0.339953	+	1.15777i	−0.935167	+	0.354207i	$0.884751\pi$
$128$	0.909632	−	0.415415i	0.0804009	−	0.0367178i
$129$	−2.19962	+	15.2987i	−0.193666	+	1.34697i
$130$	1.49800	−	6.23933i	0.131384	−	0.547226i
$131$	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
$135$	9.92100	−	24.9526i	0.853864	−	2.14758i
$136$	−5.30635	+	1.55809i	−0.455016	+	0.133605i
$137$		−	4.70220i		−	0.401736i	−0.979618	−	0.200868i	$-0.935624\pi$
$137$		−	4.70220i		−	0.401736i	0.979618	−	0.200868i	$-0.0643763\pi$
$138$	−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	$0.779037\pi$
$140$	2.64711	+	2.76307i	0.223722	+	0.233522i
$141$	−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
$145$	0.990213	+	19.8001i	0.0822327	+	1.64431i
$146$	−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	$0.678304\pi$
$150$	12.2766	−	9.74888i	1.00238	−	0.795993i
$151$	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
$155$	−18.6061	−	1.73220i	−1.49448	−	0.139133i
$156$	1.28042	+	8.90555i	0.102516	+	0.713014i
$157$	−11.3249	−	17.6219i	−0.903828	−	1.40638i	−0.913681	−	0.406432i	$-0.866773\pi$
$157$	−11.3249	−	17.6219i	−0.903828	−	1.40638i	0.00985312	−	0.999951i	$-0.496864\pi$
$158$	−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	0.930784	−	0.365570i	$-0.119126\pi$
$163$	−0.636868	−	2.16897i	−0.0498833	−	0.169887i	−0.980667	+	0.195683i	$0.937308\pi$
$164$	0.575093	+	0.663693i	0.0449073	+	0.0518257i
$165$	−1.88710	−	1.08357i	−0.146911	−	0.0843557i
$166$	−0.100820	−	0.701218i	−0.00782514	−	0.0544251i
$167$	−4.53256	+	7.05281i	−0.350740	+	0.545763i	−0.971136	−	0.238526i	$-0.923336\pi$
$167$	−4.53256	+	7.05281i	−0.350740	+	0.545763i	0.620396	+	0.784289i	$0.286972\pi$
$168$	−4.88043	−	2.22882i	−0.376533	−	0.171957i
$169$	−3.12063	+	3.60140i	−0.240049	+	0.277031i
$170$	4.07229	+	11.6765i	0.312330	+	0.895549i
$171$	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	−0.998324	−	0.0578702i	$-0.981569\pi$
$173$	−1.67297	+	5.69761i	−0.127193	+	0.433181i	0.871131	+	0.491051i	$0.163387\pi$
$174$	−11.5475	−	25.2855i	−0.875415	−	1.91689i
$175$	5.87506	−	6.22033i	0.444113	−	0.470213i
$176$	−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	$0.898359\pi$
$180$	−7.60502	+	13.2446i	−0.566845	+	0.987198i
$181$	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
$190$	−0.917269	+	9.85268i	−0.0665457	+	0.714788i
$191$	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	−0.170926	−	0.985284i	$-0.554676\pi$
$193$	−8.50934	−	1.22346i	−0.612515	−	0.0880664i	−0.441589	+	0.897217i	$0.645585\pi$
$194$	7.16603	+	15.6914i	0.514491	+	1.12658i
$195$	19.7455	−	3.85418i	1.41401	−	0.276003i
$196$	3.90672	+	1.14712i	0.279051	+	0.0819369i
$197$	−7.48713	+	3.41926i	−0.533436	+	0.243612i	−0.663874	−	0.747844i	$-0.731089\pi$
$197$	−7.48713	+	3.41926i	−0.533436	+	0.243612i	0.130438	+	0.991456i	$0.458362\pi$
$198$	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	$0.142028\pi$
$200$	−4.31823	+	2.52049i	−0.305345	+	0.178225i
$201$	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
$205$	1.41798	−	1.35847i	0.0990360	−	0.0948796i
$206$	−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
$210$	−4.43249	+	11.1483i	−0.305871	+	0.769305i
$211$	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
$215$	−10.7184	−	2.57339i	−0.730991	−	0.175504i
$216$	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
$220$	0.546577	+	0.427741i	0.0368502	+	0.0288383i
$221$	−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	0.421407	−	0.906872i	$-0.361536\pi$
$223$	0.179227	+	0.0818505i	0.0120020	+	0.00548111i	−0.409405	+	0.912353i	$0.634264\pi$
$224$	1.43959	+	0.925168i	0.0961866	+	0.0618154i
$225$	30.4284	+	15.5049i	2.02856	+	1.03366i
$226$	−15.9201	+	10.2312i	−1.05899	+	0.680570i
$227$	5.27296	−	4.56905i	0.349979	−	0.303258i	−0.462075	−	0.886841i	$-0.652895\pi$
$227$	5.27296	−	4.56905i	0.349979	−	0.303258i	0.812054	+	0.583583i	$0.198350\pi$
$228$	−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	$0.453892\pi$
$230$	−9.15413	−	5.58587i	−0.603605	−	0.368321i
$231$	1.66533			0.109570
$232$	2.49783	+	8.50682i	0.163990	+	0.558500i
$233$	9.11668	−	7.89965i	0.597254	−	0.517523i	−0.302942	−	0.953009i	$-0.597969\pi$
$233$	9.11668	−	7.89965i	0.597254	−	0.517523i	0.900196	+	0.435486i	$0.143423\pi$
$234$	−16.4885	+	10.5965i	−1.07789	+	0.692718i
$235$	18.2029	−	13.0273i	1.18742	−	0.849807i
$236$	−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	$0.762991\pi$
$240$	4.32070	−	5.52109i	0.278900	−	0.356385i
$241$	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
$245$	2.12550	−	8.85290i	0.135793	−	0.565591i
$246$	−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
$250$	6.11124	+	9.36231i	0.386509	+	0.592124i
$251$	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
$255$	−27.9973	+	26.8223i	−1.75326	+	1.67967i
$256$	−0.654861	−	0.755750i	−0.0409288	−	0.0472343i
$257$	−0.962922	−	1.49834i	−0.0600654	−	0.0934636i	0.809922	−	0.586538i	$-0.199509\pi$
$257$	−0.962922	−	1.49834i	−0.0600654	−	0.0934636i	−0.869987	+	0.493074i	$0.835873\pi$
$258$	15.2987	−	2.19962i	0.952454	−	0.136942i
$259$	−8.20657	−	5.27405i	−0.509932	−	0.327713i
$260$	−6.40863	+	0.320499i	−0.397447	+	0.0198765i
$261$	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	−0.269995	−	0.962862i	$-0.587022\pi$
$263$	4.55507	−	2.08023i	0.280878	−	0.128273i	0.550873	+	0.834589i	$0.314295\pi$
$264$	−0.933748	−	0.274173i	−0.0574682	−	0.0168742i
$265$	1.50631	+	7.71708i	0.0925321	+	0.474056i
$266$	−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	$0.233989\pi$
$270$	−26.7369	−	2.48917i	−1.62716	−	0.151486i
$271$	−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	$0.0733605\pi$
$277$			7.60380i			0.456868i	−0.973559	+	0.228434i	$0.926640\pi$
$278$	5.10580	+	17.3888i	0.306226	+	1.04291i
$279$	37.3788	+	43.1374i	2.23781	+	2.58257i
$280$	1.90537	−	3.31833i	0.113868	−	0.198308i
$281$	−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	0.497736	−	0.867329i	$-0.334165\pi$
$283$	2.82957	+	1.29222i	0.168200	+	0.0768145i	−0.329536	+	0.944143i	$0.606892\pi$
$284$	−5.37807	+	6.20663i	−0.319130	+	0.368296i
$285$	−29.2943	+	10.2166i	−1.73525	+	0.605182i
$286$	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
$290$	18.7191	−	6.52845i	1.09922	−	0.383364i
$291$	−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	−0.961456	−	0.274959i	$-0.911336\pi$
$293$	−5.33958	+	8.30854i	−0.311941	+	0.485390i	0.649515	+	0.760349i	$0.274972\pi$
$294$	1.81678	+	12.6360i	0.105957	+	0.736944i
$295$	−5.95928	+	10.3785i	−0.346963	+	0.604258i
$296$	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
$305$	−11.4731	−	1.06812i	−0.656945	−	0.0611606i
$306$	15.6917	−	34.3599i	0.897032	−	1.96423i
$307$	4.63490	+	4.01616i	0.264527	+	0.229214i	0.777018	−	0.629479i	$-0.216732\pi$
$307$	4.63490	+	4.01616i	0.264527	+	0.229214i	−0.512490	+	0.858693i	$0.671277\pi$
$308$	−0.525746	−	0.0755908i	−0.0299571	−	0.00430719i
$309$	−18.2460	−	39.9531i	−1.03798	−	2.27285i
$310$	3.57990	+	18.3404i	0.203325	+	1.04166i
$311$	−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	0.217471	−	0.976067i	$-0.430219\pi$
$313$	2.67400	+	0.384463i	0.151143	+	0.0217311i	−0.0663278	+	0.997798i	$0.521128\pi$
$314$	−13.7175	+	15.8309i	−0.774125	+	0.893387i
$315$	−26.1028	+	1.30541i	−1.47072	+	0.0735516i
$316$	6.92744	+	4.45200i	0.389699	+	0.250444i
$317$	22.4536	−	3.22835i	1.26112	−	0.181322i	0.520861	−	0.853642i	$-0.325611\pi$
$317$	22.4536	−	3.22835i	1.26112	−	0.181322i	0.740261	+	0.672320i	$0.234702\pi$
$318$	−5.96043	−	9.27460i	−0.334244	−	0.520094i
$319$	−1.80211	−	2.07975i	−0.100899	−	0.116444i
$320$	−1.61466	+	1.54689i	−0.0902622	+	0.0864739i
$321$	−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
$325$	1.43152	+	14.2765i	0.0794067	+	0.791915i
$326$	−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
$330$	−0.508017	+	2.11594i	−0.0279654	+	0.116479i
$331$	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
$335$	−2.33850	+	2.98819i	−0.127766	+	0.163262i
$336$	−0.763559	+	5.31067i	−0.0416556	+	0.289721i
$337$	3.35311	+	2.90549i	0.182656	+	0.158272i	0.741389	−	0.671075i	$-0.234167\pi$
$337$	3.35311	+	2.90549i	0.182656	+	0.158272i	−0.558734	+	0.829347i	$0.688713\pi$
$338$	4.33470	+	1.97959i	0.235777	+	0.107676i
$339$	−49.9144	−	32.0780i	−2.71098	−	1.74224i
$340$	10.0563	−	7.19699i	0.545377	−	0.390312i
$341$	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
$345$	4.00794	−	33.3827i	0.215780	−	1.79727i
$346$	5.93814			0.319237
$347$	8.32057	+	28.3373i	0.446672	+	1.52122i	0.808226	+	0.588873i	$0.200428\pi$
$347$	8.32057	+	28.3373i	0.446672	+	1.52122i	−0.361554	+	0.932351i	$0.617754\pi$
$348$	−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	$0.0583267\pi$
$350$	−7.62356	−	3.88461i	−0.407496	−	0.207641i
$351$	−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	0.979620	−	0.200857i	$-0.0643728\pi$
$353$	17.2894	+	14.9814i	0.920222	+	0.797377i	−0.0593985	+	0.998234i	$0.518918\pi$
$354$	2.38812	−	16.6097i	0.126927	−	0.882798i
$355$	14.4618	+	11.3175i	0.767552	+	0.600672i
$356$	−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	$0.982587\pi$
$360$	14.8507	+	3.56552i	0.782702	+	0.187919i
$361$	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
$365$	2.50737	−	6.30636i	0.131242	−	0.330090i
$366$	15.5021	−	4.55183i	0.810308	−	0.237928i
$367$		−	11.8624i		−	0.619214i	−0.950865	−	0.309607i	$-0.899803\pi$
$367$		−	11.8624i		−	0.619214i	0.950865	−	0.309607i	$-0.100197\pi$
$368$	−4.56392	−	1.47331i	−0.237911	−	0.0768018i
$369$	−5.99821			−0.312255
$370$	9.20458	−	8.81828i	0.478524	−	0.458440i
$371$	−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	0.248350	−	0.968670i	$-0.420112\pi$
$373$	14.6693	−	2.10912i	0.759545	−	0.109206i	0.511196	+	0.859464i	$0.329203\pi$
$374$	−1.44407	−	0.928048i	−0.0746711	−	0.0479882i
$375$	−18.7415	+	29.6231i	−0.967807	+	1.52973i
$376$	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	$0.733723\pi$
$380$	9.71200	−	1.89571i	0.498215	−	0.0972477i
$381$	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	0.734833	−	0.678248i	$-0.237260\pi$
$383$	3.28913	+	2.85005i	0.168067	+	0.145631i	−0.566767	+	0.823878i	$0.691806\pi$
$384$	1.30246	−	2.85198i	0.0664657	−	0.145540i
$385$	−0.110096	+	1.18258i	−0.00561102	+	0.0602698i
$386$	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
$395$	9.16884	−	15.9681i	0.461334	−	0.803444i
$396$	−0.301710	−	2.09844i	−0.0151615	−	0.105451i
$397$	4.68475	−	7.28961i	0.235121	−	0.365855i	−0.703564	−	0.710632i	$-0.748409\pi$
$397$	4.68475	−	7.28961i	0.235121	−	0.365855i	0.938685	+	0.344777i	$0.112045\pi$
$398$	−6.79101	−	3.10135i	−0.340403	−	0.155457i
$399$	15.5484	−	17.9438i	0.778392	−	0.898312i
$400$	3.63498	+	3.43321i	0.181749	+	0.171661i
$401$	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
$405$	−12.6364	−	36.2326i	−0.627908	−	1.80041i
$406$	−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	$-0.179383\pi$
$410$	−1.70293	−	0.977817i	−0.0841019	−	0.0482909i
$411$	−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	$-0.281842\pi$
$420$	11.9455	+	1.11211i	0.582880	+	0.0542652i
$421$	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
$425$	−17.1960	−	21.6546i	−0.834130	−	1.05040i
$426$	−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
$430$	0.550579	+	11.0093i	0.0265513	+	0.530914i
$431$	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	0.938784	−	0.344508i	$-0.111954\pi$
$433$	4.89885	+	7.62275i	0.235424	+	0.366326i	−0.703360	+	0.710834i	$0.748318\pi$
$434$	−9.36492	−	10.8077i	−0.449531	−	0.518786i
$435$	42.9998	+	44.8835i	2.06168	+	2.15200i
$436$	−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	$0.451303\pi$
$440$	0.256426	−	0.644945i	0.0122246	−	0.0307466i
$441$	−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	−0.875863	−	0.482560i	$-0.839707\pi$
$443$	−1.53783	+	2.39291i	−0.0730644	+	0.113690i	0.802799	+	0.596250i	$0.203343\pi$
$444$	−7.42483	+	16.2581i	−0.352367	+	0.771576i
$445$	−4.83475	+	20.1372i	−0.229189	+	0.954594i
$446$	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	$0.351804\pi$
$450$	6.30416	−	33.5640i	0.297181	−	1.58222i
$451$	−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
$455$	−6.39045	−	8.92928i	−0.299589	−	0.418611i
$456$	−11.6722	+	7.50124i	−0.546599	+	0.351278i
$457$	−20.6860	+	17.9245i	−0.967648	+	0.838472i	−0.986898	−	0.161343i	$-0.948418\pi$
$457$	−20.6860	+	17.9245i	−0.967648	+	0.838472i	0.0192500	+	0.999815i	$0.493872\pi$
$458$	−1.23081	−	4.19176i	−0.0575120	−	0.195868i
$459$	66.4133			3.09991
$460$	−2.78059	+	10.3570i	−0.129645	+	0.482900i
$461$	−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	−0.392306	−	0.919835i	$-0.628323\pi$
$463$	9.94827	−	8.62022i	0.462335	−	0.400616i	0.854641	+	0.519219i	$0.173777\pi$
$464$	7.45852	−	4.79330i	0.346253	−	0.222523i
$465$	−47.6438	+	34.0974i	−2.20943	+	1.58123i
$466$	−10.1481	−	6.52180i	−0.470103	−	0.302117i
$467$	−34.6549	−	15.8264i	−1.60364	−	0.732356i	−0.605647	−	0.795734i	$-0.707086\pi$
$467$	−34.6549	−	15.8264i	−1.60364	−	0.732356i	−0.997990	+	0.0633773i	$0.979813\pi$
$468$	14.8127	+	12.8352i	0.684716	+	0.593310i
$469$	0.413263	−	2.87430i	0.0190827	−	0.132723i
$470$	−17.6279	−	13.7953i	−0.813117	−	0.636330i
$471$	−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
$475$	−5.31834	−	21.4779i	−0.244022	−	0.985472i
$476$	−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	$0.487712\pi$
$480$	−6.51473	−	2.59022i	−0.297355	−	0.118227i
$481$	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
$485$	−26.6843	−	27.8533i	−1.21167	−	1.26475i
$486$	11.6422	+	13.4359i	0.528103	+	0.609463i
$487$	11.0194	+	17.1466i	0.499338	+	0.776984i	0.995847	−	0.0910472i	$-0.0290214\pi$
$487$	11.0194	+	17.1466i	0.499338	+	0.776984i	−0.496509	+	0.868032i	$0.665385\pi$
$488$	−5.10064	+	0.733362i	−0.230895	+	0.0331977i
$489$	−5.96239	−	3.83179i	−0.269628	−	0.173280i
$490$	−9.09312	+	0.454751i	−0.410785	+	0.0205435i
$491$	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
$495$	−4.65270	+	0.908171i	−0.209123	+	0.0408192i
$496$	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	$0.0973577\pi$
$500$	7.26133	−	8.50136i	0.324737	−	0.380192i
$501$	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	−0.981116	−	0.193421i	$-0.938042\pi$
$503$	−20.8418	+	18.0595i	−0.929291	+	0.805235i	0.0518251	+	0.998656i	$0.483496\pi$
$504$	−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	$0.690296\pi$
$510$	33.6235	+	19.3065i	1.48887	+	0.854906i
$511$	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
$515$	29.5776	−	10.3154i	1.30335	−	0.454553i
$516$	−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
$520$	2.11304	+	6.05874i	0.0926628	+	0.265694i
$521$	−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	−0.845087	−	0.534629i	$-0.820451\pi$
$523$	−0.176307	+	0.274339i	−0.00770937	+	0.0119960i	0.837377	+	0.546625i	$0.184088\pi$
$524$	1.85953	+	12.9333i	0.0812341	+	0.564996i
$525$	1.14948	−	26.8018i	0.0501675	−	1.16972i
$526$	−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
$535$	0.283591	−	3.04614i	0.0122607	−	0.131696i
$536$	−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
$540$	5.14433	+	26.3552i	0.221377	+	1.13415i
$541$	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
$545$	1.55546	+	31.1027i	0.0666287	+	1.33230i
$546$	12.9522	+	8.32385i	0.554301	+	0.356228i
$547$	−4.78079	+	0.687374i	−0.204412	+	0.0293900i	−0.243760	−	0.969836i	$-0.578381\pi$
$547$	−4.78079	+	0.687374i	−0.204412	+	0.0293900i	0.0393482	+	0.999226i	$0.487472\pi$
$548$	2.54220	+	3.95575i	0.108598	+	0.168981i
$549$	23.0489	+	26.5998i	0.983702	+	1.13525i
$550$	−1.46898	−	0.500638i	−0.0626375	−	0.0213473i
$551$	−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
$555$	37.1381	+	14.7659i	1.57643	+	0.626777i
$556$	15.2459	−	9.79797i	0.646572	−	0.415526i
$557$	−4.32690	+	0.622114i	−0.183337	+	0.0263598i	−0.233372	−	0.972388i	$-0.574976\pi$
$557$	−4.32690	+	0.622114i	−0.183337	+	0.0263598i	0.0500349	+	0.998747i	$0.484067\pi$
$558$	30.8592	−	48.0179i	1.30637	−	2.03276i
$559$	−5.87653	+	12.8678i	−0.248551	+	0.544250i
$560$	−3.72072	−	0.893309i	−0.157229	−	0.0377492i
$561$	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	−0.990772	−	0.135536i	$-0.956724\pi$
$563$	−1.99325	+	6.78837i	−0.0840053	+	0.286096i	0.906767	+	0.421632i	$0.138543\pi$
$564$	30.1148	+	8.84251i	1.26806	+	0.372337i
$565$	26.0791	−	33.3244i	1.09715	−	1.40197i
$566$	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	$0.640043\pi$
$570$	18.0560	+	25.2294i	0.756281	+	1.05674i
$571$	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
$575$	23.4407	+	5.05307i	0.977545	+	0.210727i
$576$	6.83018			0.284591
$577$	2.02733	+	6.90445i	0.0843988	+	0.287436i	0.990868	−	0.134836i	$-0.0430508\pi$
$577$	2.02733	+	6.90445i	0.0843988	+	0.287436i	−0.906469	+	0.422272i	$0.861233\pi$
$578$	−10.2669	+	8.89628i	−0.427045	+	0.370037i
$579$	−22.6750	+	14.5723i	−0.942339	+	0.605605i
$580$	−11.5378	−	16.1216i	−0.479080	−	0.669412i
$581$	−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
$585$	27.0103	−	34.5143i	1.11674	−	1.42699i
$586$	9.47632	+	2.78250i	0.391463	+	0.114944i
$587$	8.68032	−	29.5624i	0.358275	−	1.22017i	−0.561417	−	0.827533i	$-0.689744\pi$
$587$	8.68032	−	29.5624i	0.358275	−	1.22017i	0.919692	−	0.392640i	$-0.128438\pi$
$588$	11.6123	−	5.30314i	0.478882	−	0.218698i
$589$	5.26304	−	36.6053i	0.216860	−	1.50829i
$590$	11.6370	+	2.79393i	0.479087	+	0.115024i
$591$	−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	−0.168439	−	0.985712i	$-0.553873\pi$
$593$	−1.27477	+	0.183285i	−0.0523487	+	0.00752661i	0.116091	+	0.993239i	$0.462964\pi$
$594$	3.13570	−	2.01519i	0.128659	−	0.0826843i
$595$	19.6644	+	7.81845i	0.806163	+	0.320525i
$596$	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	$0.280209\pi$
$600$	−5.05706	+	14.8385i	−0.206453	+	0.605779i
$601$	−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
$605$	−1.21780	−	24.3509i	−0.0495106	−	0.990004i
$606$	−16.5658	+	19.1180i	−0.672940	+	0.776614i
$607$	−13.1523	−	1.89101i	−0.533834	−	0.0767538i	−0.129874	−	0.991530i	$-0.541457\pi$
$607$	−13.1523	−	1.89101i	−0.533834	−	0.0767538i	−0.403960	+	0.914777i	$0.632366\pi$
$608$	4.02540	−	1.83834i	0.163251	−	0.0745545i
$609$	−45.6415	−	13.4015i	−1.84949	−	0.543058i
$610$	2.20748	+	11.3092i	0.0893781	+	0.457898i
$611$	−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	$-0.996643\pi$
$613$	−28.5393	−	24.7294i	−1.15269	−	0.998813i	−0.152747	−	0.988265i	$-0.548812\pi$
$614$	2.54768	−	5.57863i	0.102816	−	0.225135i
$615$	0.570721	−	6.13029i	0.0230137	−	0.247197i
$616$	0.0755908	+	0.525746i	0.00304564	+	0.0211829i
$617$	−5.74990	−	8.94702i	−0.231482	−	0.360193i	0.706009	−	0.708203i	$-0.250494\pi$
$617$	−5.74990	−	8.94702i	−0.231482	−	0.360193i	−0.937491	+	0.348010i	$0.886858\pi$
$618$	−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
$625$	−19.7969	−	15.2671i	−0.791875	−	0.610683i
$626$	−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
$630$	8.60653	+	24.6776i	0.342892	+	0.983181i
$631$	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
$635$	−28.7107	+	10.0131i	−1.13935	+	0.397357i
$636$	−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
$640$	1.93913	+	1.11344i	0.0766510	+	0.0440127i
$641$	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	$0.228647\pi$
$643$			33.3763i			1.31623i	−0.752915	+	0.658117i	$0.771353\pi$
$644$	−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	−0.804570	−	0.593858i	$-0.797604\pi$
$647$	−8.42598	+	7.30115i	−0.331259	+	0.287038i	0.473311	+	0.880896i	$0.343059\pi$
$648$	−9.27786	−	14.4366i	−0.364469	−	0.567125i
$649$	−0.236419	−	1.64433i	−0.00928027	−	0.0645457i
$650$	13.2949	−	5.39568i	0.521467	−	0.211636i
$651$	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	0.552772	−	0.833332i	$-0.313570\pi$
$653$	21.6793	+	3.11701i	0.848377	+	0.121978i	0.295604	+	0.955310i	$0.404479\pi$
$654$	−18.1392	−	39.7194i	−0.709300	−	1.55315i
$655$	28.6761	−	5.59734i	1.12047	−	0.218706i
$656$	−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	$0.999818\pi$
$660$	2.17335	−	0.108690i	0.0845977	−	0.00423077i
$661$	−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
$665$	11.7143	+	12.2274i	0.454260	+	0.474160i
$666$	−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
$670$	3.52598	+	1.40191i	0.136221	+	0.0541604i
$671$	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	$0.393445\pi$
$673$	−17.3056	+	26.9280i	−0.667082	+	1.03800i	−0.995618	+	0.0935085i	$0.970192\pi$
$674$	1.84312	−	4.03586i	0.0709942	−	0.155456i
$675$	58.2839	−	14.4322i	2.24335	−	0.555497i
$676$	0.678178	−	4.71683i	0.0260838	−	0.181417i
$677$	−16.3642	+	7.47329i	−0.628928	+	0.287222i	−0.704266	−	0.709936i	$-0.748724\pi$
$677$	−16.3642	+	7.47329i	−0.628928	+	0.287222i	0.0753378	+	0.997158i	$0.475996\pi$
$678$	−16.7161	+	56.9299i	−0.641980	+	2.18638i
$679$	28.3237	+	8.31658i	1.08696	+	0.319161i
$680$	−9.73864	−	7.62128i	−0.373460	−	0.292263i
$681$	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	0.406107	−	0.913826i	$-0.366886\pi$
$683$	−0.485409	−	0.221679i	−0.0185737	−	0.00848231i	−0.424680	+	0.905343i	$0.639613\pi$
$684$	−25.4274	−	16.3412i	−0.972242	−	0.624822i
$685$	8.55034	−	6.11925i	0.326692	−	0.233805i
$686$	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
$690$	−33.1597	+	5.55942i	−1.26237	+	0.211643i
$691$	−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
$695$	−23.5843	−	32.9541i	−0.894605	−	1.25002i
$696$	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
$700$	−1.57945	+	8.40917i	−0.0596976	+	0.317837i
$701$	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
$705$	16.3843	−	68.2423i	0.617070	−	2.57016i
$706$	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	$0.276779\pi$
$710$	6.78473	−	17.0645i	0.254627	−	0.640419i
$711$	−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
$715$	−1.37781	−	1.43817i	−0.0515273	−	0.0537846i
$716$	−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	$0.313265\pi$
$720$	−0.762844	−	15.2537i	−0.0284295	−	0.568472i
$721$	−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
$725$	−34.7153	+	27.5676i	−1.28930	+	1.02384i
$726$	14.2015	+	31.0970i	0.527068	+	1.15412i
$727$	36.9982	+	5.31953i	1.37219	+	0.197291i	0.788673	−	0.614813i	$-0.210769\pi$
$727$	36.9982	+	5.31953i	1.37219	+	0.197291i	0.583513	+	0.812104i	$0.301678\pi$
$728$	−3.71118	−	3.21576i	−0.137546	−	0.119184i
$729$	−1.76868	+	3.87286i	−0.0655066	+	0.143439i
$730$	−6.75732	−	0.629096i	−0.250100	−	0.0232839i
$731$	−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	−0.807199	−	0.590280i	$-0.799017\pi$
$733$	−9.14567	+	7.92477i	−0.337803	+	0.292708i	0.469396	+	0.882988i	$0.344472\pi$
$734$	−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	$0.763529\pi$
$740$	−11.0543	−	6.34734i	−0.406364	−	0.233333i
$741$	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	−0.0953731	−	0.995442i	$-0.530404\pi$
$743$	−24.8085	−	11.3296i	−0.910134	−	0.415644i	−0.814761	+	0.579797i	$0.803132\pi$
$744$	−17.1583	+	19.8017i	−0.629052	+	0.725965i
$745$	−4.87383	−	13.9748i	−0.178563	−	0.511998i
$746$	−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
$750$	33.7033	+	9.63654i	1.23067	+	0.351877i
$751$	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
$755$	−16.8525	+	29.3498i	−0.613326	+	1.06815i
$756$	−13.4574	−	15.5307i	−0.489441	−	0.564845i
$757$	−6.92289	−	23.5772i	−0.251617	−	0.856928i	−0.984322	−	0.176382i	$-0.943561\pi$
$757$	−6.92289	−	23.5772i	−0.251617	−	0.856928i	0.732705	−	0.680546i	$-0.238258\pi$
$758$			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
$765$	−7.82961	+	84.1003i	−0.283080	+	3.04065i
$766$	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	$0.482978\pi$
$770$	1.16569	−	0.227534i	0.0420087	−	0.00819976i
$771$	−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)

\(f(q)\)	\(=\)	\(q+(-0.281733 - 0.959493i) q^{2} +(2.36951 - 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(1.30136 + 1.81837i) q^{5} +(-2.63759 - 1.69508i) q^{6} +(-1.55660 - 0.710876i) q^{7} +(0.755750 + 0.654861i) q^{8} +(0.972037 - 6.76066i) q^{9} +O(q^{10})\)	\(q+(-0.281733 - 0.959493i) q^{2} +(2.36951 - 2.05319i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(1.30136 + 1.81837i) 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} +(1.37808 - 1.76094i) 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} +(6.81705 + 1.63671i) 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} +(-2.07786 - 0.826143i) q^{20} +(-5.14795 + 1.51157i) q^{21} +0.310390i q^{22} +(-0.555747 - 4.76352i) q^{23} +3.13531 q^{24} +(-1.61294 + 4.73270i) 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} +(-0.350174 - 7.00202i) 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} +(-0.733060 - 3.75558i) 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} +(-0.207278 + 2.22644i) 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} +(4.99541 + 0.214245i) 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} +(-0.228555 - 0.655340i) 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} +(-6.61973 + 2.30869i) 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} +(5.56456 + 3.19515i) 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} +(5.89528 + 14.5259i) 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} +(2.19465 - 0.428379i) 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} +(-12.3508 + 0.617671i) 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} +(-10.5656 - 11.0284i) q^{90} -4.91060 q^{91} +(3.04288 + 3.70687i) q^{92} +26.2014i q^{93} +(-9.60505 + 2.82030i) q^{94} +(-9.19515 - 3.65593i) 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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