LMFDB - Embedded newform 224.2.bd.a.37.11

Newspace parameters

Level:	$ N $	$=$	$ 224 = 2^{5} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	224.bd (of order $24$, degree $8$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$1.78864900528$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			37.11
Character	$\chi$	$=$	224.37
Dual form			224.2.bd.a.109.11

$q$-expansion

$f(q)$	$=$	$q+(-0.480321 - 1.33015i) q^{2} +(-0.758838 + 0.988936i) q^{3} +(-1.53858 + 1.27780i) q^{4} +(0.171111 - 0.131298i) q^{5} +(1.67992 + 0.534359i) q^{6} +(1.01488 - 2.44336i) q^{7} +(2.43867 + 1.43279i) q^{8} +(0.374296 + 1.39689i) q^{9} +O(q^{10})$	\(q+(-0.480321 - 1.33015i) q^{2} +(-0.758838 + 0.988936i) q^{3} +(-1.53858 + 1.27780i) q^{4} +(0.171111 - 0.131298i) q^{5} +(1.67992 + 0.534359i) q^{6} +(1.01488 - 2.44336i) q^{7} +(2.43867 + 1.43279i) q^{8} +(0.374296 + 1.39689i) q^{9} +(-0.256834 - 0.164537i) q^{10} +(2.10346 - 0.276926i) q^{11} +(-0.0961237 - 2.49120i) q^{12} +(3.53590 - 1.46462i) q^{13} +(-3.73750 - 0.176348i) q^{14} +0.268851i q^{15} +(0.734477 - 3.93199i) q^{16} +(6.24315 - 3.60448i) q^{17} +(1.67829 - 1.16883i) q^{18} +(-0.462645 + 3.51414i) q^{19} +(-0.0954963 + 0.420657i) q^{20} +(1.64620 + 2.85777i) q^{21} +(-1.37869 - 2.66490i) q^{22} +(-1.34605 - 5.02353i) q^{23} +(-3.26749 + 1.32443i) q^{24} +(-1.28206 + 4.78470i) q^{25} +(-3.64652 - 3.99978i) q^{26} +(-5.12039 - 2.12094i) q^{27} +(1.56063 + 5.05613i) q^{28} +(2.56271 + 6.18694i) q^{29} +(0.357612 - 0.129135i) q^{30} +(-2.46695 - 4.27288i) q^{31} +(-5.58291 + 0.911655i) q^{32} +(-1.32232 + 2.29033i) q^{33} +(-7.79321 - 6.57300i) q^{34} +(-0.147150 - 0.551337i) q^{35} +(-2.36083 - 1.67096i) q^{36} +(-2.06576 + 1.58511i) q^{37} +(4.89654 - 1.07253i) q^{38} +(-1.23476 + 4.60818i) q^{39} +(0.605405 - 0.0750265i) q^{40} +(4.31161 - 4.31161i) q^{41} +(3.01055 - 3.56233i) q^{42} +(-4.15699 + 10.0359i) q^{43} +(-2.88250 + 3.11387i) q^{44} +(0.247455 + 0.189879i) q^{45} +(-6.03550 + 4.20335i) q^{46} +(4.71097 + 2.71988i) q^{47} +(3.33114 + 3.71009i) q^{48} +(-4.94002 - 4.95946i) q^{49} +(6.98015 - 0.592868i) q^{50} +(-1.17293 + 8.90930i) q^{51} +(-3.56879 + 6.77158i) q^{52} +(6.20584 - 0.817015i) q^{53} +(-0.361725 + 7.82960i) q^{54} +(0.323565 - 0.323565i) q^{55} +(5.97579 - 4.50443i) q^{56} +(-3.12418 - 3.12418i) q^{57} +(6.99861 - 6.38050i) q^{58} +(-0.990748 - 7.52548i) q^{59} +(-0.343537 - 0.413650i) q^{60} +(-0.817471 - 0.107622i) q^{61} +(-4.49863 + 5.33376i) q^{62} +(3.79298 + 0.503144i) q^{63} +(3.89422 + 6.98821i) q^{64} +(0.412729 - 0.714867i) q^{65} +(3.68162 + 0.658791i) q^{66} +(-2.72913 + 3.55667i) q^{67} +(-4.99981 + 13.5233i) q^{68} +(5.98939 + 2.48089i) q^{69} +(-0.662680 + 0.460551i) q^{70} +(-2.53740 - 2.53740i) q^{71} +(-1.08867 + 3.94285i) q^{72} +(-11.7032 - 3.13587i) q^{73} +(3.10066 + 1.98640i) q^{74} +(-3.75889 - 4.89868i) q^{75} +(-3.77853 - 5.99796i) q^{76} +(1.45814 - 5.42056i) q^{77} +(6.72264 - 0.570996i) q^{78} +(-2.02495 - 1.16910i) q^{79} +(-0.390585 - 0.769241i) q^{80} +(2.22575 - 1.28504i) q^{81} +(-7.80603 - 3.66412i) q^{82} +(-1.12785 + 0.467172i) q^{83} +(-6.18445 - 2.29342i) q^{84} +(0.595009 - 1.43648i) q^{85} +(15.3459 + 0.708973i) q^{86} +(-8.06317 - 2.16052i) q^{87} +(5.52643 + 2.33849i) q^{88} +(-16.0470 + 4.29977i) q^{89} +(0.133709 - 0.420355i) q^{90} +(0.00994050 - 10.1259i) q^{91} +(8.49006 + 6.00914i) q^{92} +(6.09762 + 0.802767i) q^{93} +(1.35506 - 7.57270i) q^{94} +(0.382235 + 0.662051i) q^{95} +(3.33495 - 6.21294i) q^{96} +10.3954 q^{97} +(-4.22401 + 8.95308i) q^{98} +(1.17415 + 2.83466i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) $	\( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/224\mathbb{Z}\right)^\times$.

$n$	$127$	$129$	$197$
$\chi(n)$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{8}\right)$

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 $

$2$	−0.480321	−	1.33015i	−0.339638	−	0.940556i
$2$	−0.480321	−	1.33015i	−0.339638	−	0.940556i
$3$	−0.758838	+	0.988936i	−0.438115	+	0.570963i	−0.959267	−	0.282501i	$-0.908836\pi$
$3$	−0.758838	+	0.988936i	−0.438115	+	0.570963i	0.521152	+	0.853464i	$0.325503\pi$
$4$	−1.53858	+	1.27780i	−0.769292	+	0.638898i
$5$	0.171111	−	0.131298i	0.0765231	−	0.0587182i	−0.569792	−	0.821789i	$-0.692976\pi$
$5$	0.171111	−	0.131298i	0.0765231	−	0.0587182i	0.646315	+	0.763071i	$0.276309\pi$
$6$	1.67992	+	0.534359i	0.685823	+	0.218151i
$7$	1.01488	−	2.44336i	0.383590	−	0.923503i
$7$	1.01488	−	2.44336i	0.383590	−	0.923503i
$8$	2.43867	+	1.43279i	0.862200	+	0.506568i
$9$	0.374296	+	1.39689i	0.124765	+	0.465631i
$10$	−0.256834	−	0.164537i	−0.0812179	−	0.0520313i
$11$	2.10346	−	0.276926i	0.634218	−	0.0834963i	0.193439	−	0.981112i	$-0.438036\pi$
$11$	2.10346	−	0.276926i	0.634218	−	0.0834963i	0.440778	+	0.897616i	$0.354702\pi$
$12$	−0.0961237	−	2.49120i	−0.0277485	−	0.719148i
$13$	3.53590	−	1.46462i	0.980681	−	0.406211i	0.166003	−	0.986125i	$-0.446914\pi$
$13$	3.53590	−	1.46462i	0.980681	−	0.406211i	0.814678	+	0.579914i	$0.196914\pi$
$14$	−3.73750	−	0.176348i	−0.998889	−	0.0471310i
$15$			0.268851i			0.0694171i
$16$	0.734477	−	3.93199i	0.183619	−	0.982997i
$17$	6.24315	−	3.60448i	1.51419	−	0.874216i	0.514324	−	0.857596i	$-0.328043\pi$
$17$	6.24315	−	3.60448i	1.51419	−	0.874216i	0.999862	−	0.0166201i	$-0.00529058\pi$
$18$	1.67829	−	1.16883i	0.395577	−	0.275495i
$19$	−0.462645	+	3.51414i	−0.106138	+	0.806198i	0.852731	+	0.522350i	$0.174945\pi$
$19$	−0.462645	+	3.51414i	−0.106138	+	0.806198i	−0.958869	+	0.283848i	$0.908389\pi$
$20$	−0.0954963	+	0.420657i	−0.0213536	+	0.0940618i
$21$	1.64620	+	2.85777i	0.359229	+	0.623616i
$22$	−1.37869	−	2.66490i	−0.293938	−	0.568159i
$23$	−1.34605	−	5.02353i	−0.280671	−	1.04748i	−0.951945	−	0.306269i	$-0.900919\pi$
$23$	−1.34605	−	5.02353i	−0.280671	−	1.04748i	0.671274	−	0.741210i	$-0.265747\pi$
$24$	−3.26749	+	1.32443i	−0.666974	+	0.270349i
$25$	−1.28206	+	4.78470i	−0.256411	+	0.956939i
$26$	−3.64652	−	3.99978i	−0.715141	−	0.784421i
$27$	−5.12039	−	2.12094i	−0.985420	−	0.408174i
$28$	1.56063	+	5.05613i	0.294932	+	0.955518i
$29$	2.56271	+	6.18694i	0.475884	+	1.14889i	0.961523	+	0.274726i	$0.0885871\pi$
$29$	2.56271	+	6.18694i	0.475884	+	1.14889i	−0.485639	+	0.874160i	$0.661413\pi$
$30$	0.357612	−	0.129135i	0.0652907	−	0.0235767i
$31$	−2.46695	−	4.27288i	−0.443077	−	0.767432i	0.554839	−	0.831958i	$-0.312780\pi$
$31$	−2.46695	−	4.27288i	−0.443077	−	0.767432i	−0.997916	+	0.0645260i	$0.979446\pi$
$32$	−5.58291	+	0.911655i	−0.986928	+	0.161159i
$33$	−1.32232	+	2.29033i	−0.230187	+	0.398696i
$34$	−7.79321	−	6.57300i	−1.33652	−	1.12726i
$35$	−0.147150	−	0.551337i	−0.0248730	−	0.0931930i
$36$	−2.36083	−	1.67096i	−0.393472	−	0.278494i
$37$	−2.06576	+	1.58511i	−0.339609	+	0.260591i	−0.764459	−	0.644673i	$-0.776994\pi$
$37$	−2.06576	+	1.58511i	−0.339609	+	0.260591i	0.424850	+	0.905264i	$0.360327\pi$
$38$	4.89654	−	1.07253i	0.794323	−	0.173987i
$39$	−1.23476	+	4.60818i	−0.197720	+	0.737900i
$40$	0.605405	−	0.0750265i	0.0957229	−	0.0118627i
$41$	4.31161	−	4.31161i	0.673360	−	0.673360i	−0.285129	−	0.958489i	$-0.592036\pi$
$41$	4.31161	−	4.31161i	0.673360	−	0.673360i	0.958489	+	0.285129i	$0.0920365\pi$
$42$	3.01055	−	3.56233i	0.464538	−	0.549679i
$43$	−4.15699	+	10.0359i	−0.633935	+	1.53046i	0.200700	+	0.979653i	$0.435678\pi$
$43$	−4.15699	+	10.0359i	−0.633935	+	1.53046i	−0.834635	+	0.550803i	$0.814322\pi$
$44$	−2.88250	+	3.11387i	−0.434553	+	0.469433i
$45$	0.247455	+	0.189879i	0.0368885	+	0.0283055i
$46$	−6.03550	+	4.20335i	−0.889886	+	0.619751i
$47$	4.71097	+	2.71988i	0.687165	+	0.396735i	0.802549	−	0.596586i	$-0.203476\pi$
$47$	4.71097	+	2.71988i	0.687165	+	0.396735i	−0.115384	+	0.993321i	$0.536810\pi$
$48$	3.33114	+	3.71009i	0.480808	+	0.535506i
$49$	−4.94002	−	4.95946i	−0.705717	−	0.708494i
$50$	6.98015	−	0.592868i	0.987142	−	0.0838442i
$51$	−1.17293	+	8.90930i	−0.164243	+	1.24755i
$52$	−3.56879	+	6.77158i	−0.494902	+	0.939050i
$53$	6.20584	−	0.817015i	0.852438	−	0.112226i	0.308370	−	0.951267i	$-0.400217\pi$
$53$	6.20584	−	0.817015i	0.852438	−	0.112226i	0.544068	+	0.839041i	$0.316883\pi$
$54$	−0.361725	+	7.82960i	−0.0492245	+	1.06547i
$55$	0.323565	−	0.323565i	0.0436295	−	0.0436295i
$56$	5.97579	−	4.50443i	0.798549	−	0.601930i
$57$	−3.12418	−	3.12418i	−0.413808	−	0.413808i
$58$	6.99861	−	6.38050i	0.918963	−	0.837801i
$59$	−0.990748	−	7.52548i	−0.128984	−	0.979734i	−0.926463	−	0.376387i	$-0.877166\pi$
$59$	−0.990748	−	7.52548i	−0.128984	−	0.979734i	0.797478	−	0.603348i	$-0.206167\pi$
$60$	−0.343537	−	0.413650i	−0.0443505	−	0.0534020i
$61$	−0.817471	−	0.107622i	−0.104666	−	0.0137796i	0.0780110	−	0.996952i	$-0.475143\pi$
$61$	−0.817471	−	0.107622i	−0.104666	−	0.0137796i	−0.182677	+	0.983173i	$0.558476\pi$
$62$	−4.49863	+	5.33376i	−0.571327	+	0.677388i
$63$	3.79298	+	0.503144i	0.477871	+	0.0633902i
$64$	3.89422	+	6.98821i	0.486778	+	0.873526i
$65$	0.412729	−	0.714867i	0.0511927	−	0.0886684i
$66$	3.68162	+	0.658791i	0.453176	+	0.0810915i
$67$	−2.72913	+	3.55667i	−0.333416	+	0.434517i	−0.929734	−	0.368232i	$-0.879963\pi$
$67$	−2.72913	+	3.55667i	−0.333416	+	0.434517i	0.596318	+	0.802749i	$0.296630\pi$
$68$	−4.99981	+	13.5233i	−0.606316	+	1.63994i
$69$	5.98939	+	2.48089i	0.721038	+	0.298664i
$70$	−0.662680	+	0.460551i	−0.0792055	+	0.0550463i
$71$	−2.53740	−	2.53740i	−0.301133	−	0.301133i	0.540324	−	0.841457i	$-0.318302\pi$
$71$	−2.53740	−	2.53740i	−0.301133	−	0.301133i	−0.841457	+	0.540324i	$0.818302\pi$
$72$	−1.08867	+	3.94285i	−0.128301	+	0.464669i
$73$	−11.7032	−	3.13587i	−1.36976	−	0.367026i	−0.502369	−	0.864654i	$-0.667538\pi$
$73$	−11.7032	−	3.13587i	−1.36976	−	0.367026i	−0.867391	+	0.497628i	$0.834205\pi$
$74$	3.10066	+	1.98640i	0.360445	+	0.230915i
$75$	−3.75889	−	4.89868i	−0.434039	−	0.565651i
$76$	−3.77853	−	5.99796i	−0.433427	−	0.688013i
$77$	1.45814	−	5.42056i	0.166171	−	0.617731i
$78$	6.72264	−	0.570996i	0.761189	−	0.0646526i
$79$	−2.02495	−	1.16910i	−0.227824	−	0.131534i	0.381744	−	0.924268i	$-0.375324\pi$
$79$	−2.02495	−	1.16910i	−0.227824	−	0.131534i	−0.609568	+	0.792734i	$0.708657\pi$
$80$	−0.390585	−	0.769241i	−0.0436687	−	0.0860038i
$81$	2.22575	−	1.28504i	0.247306	−	0.142782i
$82$	−7.80603	−	3.66412i	−0.862032	−	0.404634i
$83$	−1.12785	+	0.467172i	−0.123798	+	0.0512788i	−0.443723	−	0.896164i	$-0.646342\pi$
$83$	−1.12785	+	0.467172i	−0.123798	+	0.0512788i	0.319925	+	0.947443i	$0.396342\pi$
$84$	−6.18445	−	2.29342i	−0.674779	−	0.250232i
$85$	0.595009	−	1.43648i	0.0645378	−	0.155808i
$86$	15.3459	+	0.708973i	1.65479	+	0.0764506i
$87$	−8.06317	−	2.16052i	−0.864463	−	0.231632i
$88$	5.52643	+	2.33849i	0.589119	+	0.249284i
$89$	−16.0470	+	4.29977i	−1.70098	+	0.455775i	−0.973185	−	0.230025i	$-0.926119\pi$
$89$	−16.0470	+	4.29977i	−1.70098	+	0.455775i	−0.727790	+	0.685800i	$0.759453\pi$
$90$	0.133709	−	0.420355i	0.0140942	−	0.0443093i
$91$	0.00994050	−	10.1259i	0.00104205	−	1.06148i
$92$	8.49006	+	6.00914i	0.885150	+	0.626497i
$93$	6.09762	+	0.802767i	0.632294	+	0.0832430i
$94$	1.35506	−	7.57270i	0.139764	−	0.781064i
$95$	0.382235	+	0.662051i	0.0392165	+	0.0679250i
$96$	3.33495	−	6.21294i	0.340372	−	0.634106i
$97$	10.3954			1.05549			0.527746	−	0.849402i	$-0.323037\pi$
$97$	10.3954			1.05549			0.527746	+	0.849402i	$0.323037\pi$
$98$	−4.22401	+	8.95308i	−0.426690	+	0.904398i
$99$	1.17415	+	2.83466i	0.118007	+	0.284894i
$100$	−4.14131	−	8.99986i	−0.414131	−	0.899986i
$101$	−0.0248310	−	0.188610i	−0.00247077	−	0.0187674i	0.990165	−	0.139904i	$-0.0446794\pi$
$101$	−0.0248310	−	0.188610i	−0.00247077	−	0.0187674i	−0.992636	+	0.121137i	$0.961346\pi$
$102$	12.4141	−	2.71915i	1.22917	−	0.269236i
$103$	0.208871	−	0.0559668i	0.0205807	−	0.00551457i	−0.248514	−	0.968628i	$-0.579942\pi$
$103$	0.208871	−	0.0559668i	0.0205807	−	0.00551457i	0.269095	+	0.963114i	$0.413276\pi$
$104$	10.7214	+	1.49448i	1.05132	+	0.146546i
$105$	0.656901	+	0.272853i	0.0641070	+	0.0266277i
$106$	−4.06755	−	7.86226i	−0.395075	−	0.763650i
$107$	1.16521	+	1.51853i	0.112645	+	0.146802i	0.846273	−	0.532749i	$-0.178841\pi$
$107$	1.16521	+	1.51853i	0.112645	+	0.146802i	−0.733628	+	0.679551i	$0.762174\pi$
$108$	10.5883	−	3.27958i	1.01886	−	0.315577i
$109$	−14.8637	−	11.4053i	−1.42368	−	1.09243i	−0.980615	−	0.195943i	$-0.937223\pi$
$109$	−14.8637	−	11.4053i	−1.42368	−	1.09243i	−0.443068	−	0.896488i	$-0.646110\pi$
$110$	−0.585804	−	0.274974i	−0.0558543	−	0.0262178i
$111$		−	3.24575i		−	0.308073i
$112$	−8.86186	−	5.78511i	−0.837367	−	0.546641i
$113$		−	1.46473i		−	0.137790i	−0.997624	−	0.0688950i	$-0.978053\pi$
$113$		−	1.46473i		−	0.137790i	0.997624	−	0.0688950i	$-0.0219474\pi$
$114$	−2.65501	+	5.65624i	−0.248665	+	0.529755i
$115$	−0.889903	−	0.682847i	−0.0829839	−	0.0636758i
$116$	−11.8486	−	6.24450i	−1.10011	−	0.579787i
$117$	3.36939	+	4.39107i	0.311500	+	0.405954i
$118$	−9.53412	+	4.93249i	−0.877687	+	0.454072i
$119$	−2.47098	−	18.9124i	−0.226514	−	1.73370i
$120$	−0.385208	+	0.655640i	−0.0351645	+	0.0598515i
$121$	−6.27732	+	1.68200i	−0.570665	+	0.152909i
$122$	0.249495	+	1.13905i	0.0225883	+	0.103125i
$123$	0.992096	+	7.53572i	0.0894543	+	0.679473i
$124$	9.25547	+	3.42193i	0.831166	+	0.307298i
$125$	0.821534	+	1.98336i	0.0734802	+	0.177397i
$126$	−1.15259	−	5.28689i	−0.102681	−	0.470994i
$127$	21.8084			1.93518			0.967590	−	0.252526i	$-0.0812612\pi$
$127$	21.8084			1.93518			0.967590	+	0.252526i	$0.0812612\pi$
$128$	7.42486	−	8.53647i	0.656271	−	0.754525i
$129$	−6.77035	−	11.7266i	−0.596096	−	1.03247i
$130$	−1.14912	−	0.205624i	−0.100785	−	0.0180344i
$131$	−5.89963	−	0.776701i	−0.515453	−	0.0678607i	−0.131688	−	0.991291i	$-0.542040\pi$
$131$	−5.89963	−	0.776701i	−0.515453	−	0.0678607i	−0.383766	+	0.923431i	$0.625373\pi$
$132$	−0.892071	−	5.21353i	−0.0776448	−	0.453779i
$133$	8.11677	+	4.69685i	0.703813	+	0.407269i
$134$	6.04176	+	1.92180i	0.521928	+	0.166018i
$135$	−1.15463	+	0.309382i	−0.0993746	+	0.0266273i
$136$	20.3895	+	0.154976i	1.74838	+	0.0132890i
$137$	−2.30349	−	0.617217i	−0.196800	−	0.0527324i	0.159073	−	0.987267i	$-0.449150\pi$
$137$	−2.30349	−	0.617217i	−0.196800	−	0.0527324i	−0.355873	+	0.934534i	$0.615816\pi$
$138$	0.423114	−	9.15839i	0.0360179	−	0.779614i
$139$	−0.998247	+	2.40998i	−0.0846702	+	0.204412i	−0.960544	−	0.278129i	$-0.910286\pi$
$139$	−0.998247	+	2.40998i	−0.0846702	+	0.204412i	0.875874	+	0.482541i	$0.160286\pi$
$140$	0.930900	+	0.660250i	0.0786754	+	0.0558013i
$141$	−6.26465	+	2.59490i	−0.527578	+	0.218530i
$142$	−2.15634	+	4.59387i	−0.180956	+	0.385509i
$143$	7.03203	−	4.05995i	0.588048	−	0.339510i
$144$	5.76748	−	0.445743i	0.480624	−	0.0371453i
$145$	1.25084	+	0.722173i	0.103877	+	0.0599732i
$146$	1.45014	+	17.0732i	0.120014	+	1.41299i
$147$	8.65326	−	1.12194i	0.713709	−	0.0925363i
$148$	1.15289	−	5.07845i	0.0947673	−	0.417446i
$149$	8.94508	+	11.6575i	0.732810	+	0.955016i	0.999963	−	0.00863800i	$-0.00274959\pi$
$149$	8.94508	+	11.6575i	0.732810	+	0.955016i	−0.267153	+	0.963654i	$0.586083\pi$
$150$	−4.71049	+	7.35281i	−0.384610	+	0.600355i
$151$	1.80749	+	0.484316i	0.147092	+	0.0394131i	0.331614	−	0.943415i	$-0.392407\pi$
$151$	1.80749	+	0.484316i	0.147092	+	0.0394131i	−0.184522	+	0.982828i	$0.559074\pi$
$152$	−6.16326	+	7.90695i	−0.499906	+	0.641338i
$153$	7.37187	+	7.37187i	0.595980	+	0.595980i
$154$	−7.91052	+	0.664069i	−0.637448	+	0.0535122i
$155$	−0.983141	−	0.407230i	−0.0789678	−	0.0327095i
$156$	−3.98853	−	8.66784i	−0.319338	−	0.693983i
$157$	−1.09817	+	1.43116i	−0.0876436	+	0.114219i	−0.835117	−	0.550072i	$-0.814600\pi$
$157$	−1.09817	+	1.43116i	−0.0876436	+	0.114219i	0.747473	+	0.664292i	$0.231267\pi$
$158$	−0.582455	+	3.25502i	−0.0463376	+	0.258956i
$159$	−3.90125	+	6.75716i	−0.309389	+	0.535878i
$160$	−0.835598	+	0.889018i	−0.0660598	+	0.0702831i
$161$	−13.6404	−	1.80942i	−1.07501	−	0.142602i
$162$	−2.77837	−	2.34335i	−0.218289	−	0.184111i
$163$	−13.6305	−	1.79450i	−1.06763	−	0.140556i	−0.423822	−	0.905746i	$-0.639312\pi$
$163$	−13.6305	−	1.79450i	−1.06763	−	0.140556i	−0.643805	+	0.765190i	$0.722645\pi$
$164$	−1.12441	+	12.1431i	−0.0878020	+	0.948218i
$165$	0.0744520	+	0.565519i	0.00579608	+	0.0440256i
$166$	1.16314	+	1.27582i	0.0902772	+	0.0990228i
$167$	−0.443775	−	0.443775i	−0.0343403	−	0.0343403i	0.689728	−	0.724068i	$-0.257730\pi$
$167$	−0.443775	−	0.443775i	−0.0343403	−	0.0343403i	−0.724068	+	0.689728i	$0.757730\pi$
$168$	−0.0800562	+	9.32781i	−0.00617647	+	0.719656i
$169$	1.16507	−	1.16507i	0.0896206	−	0.0896206i
$170$	−2.19652	−	0.101478i	−0.168466	−	0.00778305i
$171$	−5.08204	+	0.669063i	−0.388633	+	0.0511645i
$172$	−6.42791	−	20.7528i	−0.490123	−	1.58239i
$173$	0.535394	−	4.06672i	0.0407052	−	0.309187i	−0.958965	−	0.283523i	$-0.908497\pi$
$173$	0.535394	−	4.06672i	0.0407052	−	0.309187i	0.999671	−	0.0256639i	$-0.00816996\pi$
$174$	0.999101	+	11.7629i	0.0757417	+	0.891747i
$175$	10.3896	+	7.98844i	0.785380	+	0.603869i
$176$	0.456075	−	8.47419i	0.0343779	−	0.638766i
$177$	8.19404	+	4.73083i	0.615902	+	0.355591i
$178$	13.4270	+	19.2796i	1.00640	+	1.44506i
$179$	20.0529	+	15.3871i	1.49882	+	1.15009i	0.949199	+	0.314677i	$0.101896\pi$
$179$	20.0529	+	15.3871i	1.49882	+	1.15009i	0.549625	+	0.835411i	$0.314770\pi$
$180$	−0.623357	+	0.0240524i	−0.0464623	+	0.00179276i
$181$	−1.08379	+	2.61651i	−0.0805578	+	0.194484i	−0.959027	−	0.283316i	$-0.908566\pi$
$181$	−1.08379	+	2.61651i	−0.0805578	+	0.194484i	0.878469	+	0.477800i	$0.158566\pi$
$182$	−13.4737	+	4.85045i	−0.998736	+	0.359539i
$183$	0.726759	−	0.726759i	0.0537236	−	0.0537236i
$184$	3.91509	−	14.1793i	0.288624	−	1.04532i
$185$	−0.145352	+	0.542460i	−0.0106865	+	0.0398825i
$186$	−1.86102	−	8.49632i	−0.136456	−	0.622980i
$187$	12.1341	−	9.31079i	0.887330	−	0.680872i
$188$	−10.7237	+	1.83489i	−0.782104	+	0.133823i
$189$	−10.3788	+	10.3585i	−0.754948	+	0.753467i
$190$	0.697029	−	0.826426i	0.0505678	−	0.0599552i
$191$	−6.61571	+	11.4587i	−0.478696	+	0.829125i	−0.999702	−	0.0244277i	$-0.992224\pi$
$191$	−6.61571	+	11.4587i	−0.478696	+	0.829125i	0.521006	+	0.853553i	$0.325557\pi$
$192$	−9.86597	−	1.45177i	−0.712015	−	0.104773i
$193$	−1.04305	−	1.80661i	−0.0750803	−	0.130043i	0.826041	−	0.563610i	$-0.190588\pi$
$193$	−1.04305	−	1.80661i	−0.0750803	−	0.130043i	−0.901121	+	0.433567i	$0.857255\pi$
$194$	−4.99313	−	13.8274i	−0.358486	−	0.992750i
$195$	0.393764	+	0.950631i	0.0281980	+	0.0680761i
$196$	13.9378	+	1.31820i	0.995557	+	0.0941572i
$197$	−17.8938	−	7.41186i	−1.27488	−	0.528073i	−0.360437	−	0.932784i	$-0.617372\pi$
$197$	−17.8938	−	7.41186i	−1.27488	−	0.528073i	−0.914445	+	0.404710i	$0.867372\pi$
$198$	3.20654	−	2.92335i	0.227879	−	0.207753i
$199$	−4.53719	+	16.9330i	−0.321633	+	1.20035i	0.596021	+	0.802969i	$0.296748\pi$
$199$	−4.53719	+	16.9330i	−0.321633	+	1.20035i	−0.917654	+	0.397381i	$0.869919\pi$
$200$	−9.98198	+	9.83138i	−0.705832	+	0.695184i
$201$	−1.44636	−	5.39787i	−0.102018	−	0.380737i
$202$	−0.238952	+	0.123622i	−0.0168126	+	0.00869803i
$203$	17.7178	+	0.0173934i	1.24354	+	0.00122078i
$204$	−9.57961	−	15.2065i	−0.670707	−	1.06467i
$205$	0.171657	−	1.30387i	0.0119891	−	0.0910661i
$206$	−0.174769	−	0.250947i	−0.0121767	−	0.0174843i
$207$	6.51352	−	3.76058i	0.452721	−	0.261378i
$208$	−3.16182	−	14.9788i	−0.219233	−	1.03860i
$209$			7.51997i			0.520167i
$210$	0.0474114	−	1.00483i	0.00327170	−	0.0693400i
$211$	−19.7231	+	8.16958i	−1.35779	+	0.562417i	−0.938452	−	0.345411i	$-0.887740\pi$
$211$	−19.7231	+	8.16958i	−1.35779	+	0.562417i	−0.419343	+	0.907828i	$0.637740\pi$
$212$	−8.50423	+	9.18684i	−0.584073	+	0.630955i
$213$	4.43479	−	0.583852i	0.303867	−	0.0400049i
$214$	1.46020	−	2.27929i	0.0998171	−	0.155809i
$215$	0.606382	+	2.26305i	0.0413549	+	0.154339i
$216$	−9.44809	−	12.5087i	−0.642861	−	0.851110i
$217$	−12.9438	+	1.69116i	−0.878686	+	0.114804i
$218$	−8.03140	+	25.2491i	−0.543955	+	1.71009i
$219$	11.9820	−	9.19413i	0.809670	−	0.621282i
$220$	−0.0843818	+	0.911282i	−0.00568902	+	0.0614386i
$221$	16.7959	−	21.8889i	1.12982	−	1.47241i
$222$	−4.31733	+	1.55900i	−0.289760	+	0.104633i
$223$	−10.3561			−0.693498			−0.346749	−	0.937958i	$-0.612714\pi$
$223$	−10.3561			−0.693498			−0.346749	+	0.937958i	$0.612714\pi$
$224$	−3.43851	+	14.5663i	−0.229745	+	0.973251i
$225$	−7.16358			−0.477572
$226$	−1.94830	+	0.703540i	−0.129599	+	0.0467988i
$227$	10.8095	−	14.0872i	0.717450	−	0.934999i	−0.282254	−	0.959340i	$-0.591082\pi$
$227$	10.8095	−	14.0872i	0.717450	−	0.934999i	0.999704	+	0.0243408i	$0.00774869\pi$
$228$	8.79889	+	0.814749i	0.582721	+	0.0539581i
$229$	−9.61260	+	7.37601i	−0.635219	+	0.487420i	−0.875459	−	0.483293i	$-0.839441\pi$
$229$	−9.61260	+	7.37601i	−0.635219	+	0.487420i	0.240240	+	0.970714i	$0.422774\pi$
$230$	−0.480847	+	1.51169i	−0.0317061	+	0.0996777i
$231$	4.25410	+	5.55534i	0.279899	+	0.365514i
$232$	−2.61497	+	18.7597i	−0.171681	+	1.23164i
$233$	3.86660	+	14.4304i	0.253310	+	0.945364i	0.969023	+	0.246970i	$0.0794350\pi$
$233$	3.86660	+	14.4304i	0.253310	+	0.945364i	−0.715713	+	0.698394i	$0.753898\pi$
$234$	4.22238	−	6.59090i	0.276026	−	0.430861i
$235$	1.16321	−	0.153140i	0.0758796	−	0.00998973i
$236$	11.1404	+	10.3126i	0.725177	+	0.671294i
$237$	2.69277	−	1.11538i	0.174914	−	0.0724519i
$238$	−23.9694	+	12.3708i	−1.55371	+	0.801879i
$239$		−	25.1348i		−	1.62584i	−0.582379	−	0.812918i	$-0.697878\pi$
$239$		−	25.1348i		−	1.62584i	0.582379	−	0.812918i	$-0.302122\pi$
$240$	1.05712	+	0.197465i	0.0682369	+	0.0127463i
$241$	11.2112	−	6.47277i	0.722175	−	0.416948i	−0.0933776	−	0.995631i	$-0.529766\pi$
$241$	11.2112	−	6.47277i	0.722175	−	0.416948i	0.815553	+	0.578683i	$0.196433\pi$
$242$	5.25244	+	7.54186i	0.337640	+	0.484809i
$243$	1.75207	−	13.3083i	0.112395	−	0.853728i
$244$	1.39527	−	0.878976i	0.0893228	−	0.0562706i
$245$	−1.49646	−	0.200002i	−0.0956051	−	0.0127777i
$246$	9.54709	−	4.93920i	0.608700	−	0.314912i
$247$	3.51100	+	13.1032i	0.223399	+	0.833738i
$248$	0.106067	−	13.9548i	0.00673526	−	0.886128i
$249$	0.393854	−	1.46988i	0.0249595	−	0.0931501i
$250$	2.24356	−	2.04541i	0.141895	−	0.129363i
$251$	−2.13451	−	0.884142i	−0.134729	−	0.0558065i	0.314300	−	0.949324i	$-0.398230\pi$
$251$	−2.13451	−	0.884142i	−0.134729	−	0.0558065i	−0.449029	+	0.893517i	$0.648230\pi$
$252$	−6.47873	+	4.07253i	−0.408122	+	0.256545i
$253$	−4.22251	−	10.1941i	−0.265467	−	0.640895i
$254$	−10.4750	−	29.0084i	−0.657261	−	1.82015i
$255$	0.969071	+	1.67848i	0.0606856	+	0.105110i
$256$	−14.9211	−	5.77591i	−0.932568	−	0.360995i
$257$	−7.31441	+	12.6689i	−0.456261	+	0.790267i	−0.998760	−	0.0497898i	$-0.984145\pi$
$257$	−7.31441	+	12.6689i	−0.456261	+	0.790267i	0.542499	+	0.840056i	$0.317478\pi$
$258$	−12.3462	+	14.6381i	−0.768638	+	0.911328i
$259$	1.77650	+	6.65611i	0.110386	+	0.413590i
$260$	0.278436	+	1.62727i	0.0172679	+	0.100919i
$261$	−7.68328	+	5.89559i	−0.475583	+	0.364928i
$262$	1.80059	+	8.22045i	0.111241	+	0.507861i
$263$	−3.08270	+	11.5048i	−0.190087	+	0.709415i	0.803397	+	0.595444i	$0.203024\pi$
$263$	−3.08270	+	11.5048i	−0.190087	+	0.709415i	−0.993484	+	0.113971i	$0.963643\pi$
$264$	−6.50628	+	3.69075i	−0.400434	+	0.227150i
$265$	0.954614	−	0.954614i	0.0586415	−	0.0586415i
$266$	2.34885	−	13.0525i	0.144017	−	0.800300i
$267$	7.92484	−	19.1323i	0.484992	−	1.17088i
$268$	−0.345705	−	8.95951i	−0.0211173	−	0.547289i
$269$	−22.3885	−	17.1793i	−1.36505	−	1.04744i	−0.992860	−	0.119285i	$-0.961940\pi$
$269$	−22.3885	−	17.1793i	−1.36505	−	1.04744i	−0.372192	−	0.928156i	$-0.621394\pi$
$270$	0.966116	+	1.38722i	0.0587959	+	0.0844237i
$271$	23.1368	+	13.3580i	1.40546	+	0.811443i	0.994946	−	0.100412i	$-0.0320160\pi$
$271$	23.1368	+	13.3580i	1.40546	+	0.811443i	0.410514	+	0.911854i	$0.365349\pi$
$272$	−9.58734	−	27.1954i	−0.581318	−	1.64896i
$273$	10.0063	+	7.69373i	0.605609	+	0.465646i
$274$	0.285423	+	3.36044i	0.0172430	+	0.203012i
$275$	−1.37175	+	10.4195i	−0.0827195	+	0.628317i
$276$	−12.3852	+	3.83616i	−0.745504	+	0.230910i
$277$	−3.03152	+	0.399107i	−0.182146	+	0.0239800i	−0.221048	−	0.975263i	$-0.570948\pi$
$277$	−3.03152	+	0.399107i	−0.182146	+	0.0239800i	0.0389012	+	0.999243i	$0.487614\pi$
$278$	3.68511	+	0.170251i	0.221018	+	0.0102110i
$279$	5.04539	−	5.04539i	0.302059	−	0.302059i
$280$	0.431099	−	1.55537i	0.0257631	−	0.0929509i
$281$	7.10678	+	7.10678i	0.423955	+	0.423955i	0.886563	−	0.462608i	$-0.153086\pi$
$281$	7.10678	+	7.10678i	0.423955	+	0.423955i	−0.462608	+	0.886563i	$0.653086\pi$
$282$	6.46064	+	7.08652i	0.384726	+	0.421996i
$283$	3.54274	+	26.9098i	0.210594	+	1.59962i	0.691185	+	0.722678i	$0.257089\pi$
$283$	3.54274	+	26.9098i	0.210594	+	1.59962i	−0.480591	+	0.876945i	$0.659578\pi$
$284$	7.14627	+	0.661722i	0.424053	+	0.0392660i
$285$	−0.944781	−	0.124383i	−0.0559640	−	0.00736780i
$286$	−8.77796	−	7.40356i	−0.519052	−	0.437782i
$287$	−6.15903	−	14.9106i	−0.363556	−	0.880145i
$288$	−3.36315	−	7.45750i	−0.198175	−	0.439437i
$289$	17.4846	−	30.2842i	1.02851	−	1.78143i
$290$	0.359791	−	2.01068i	0.0211277	−	0.118071i
$291$	−7.88841	+	10.2804i	−0.462427	+	0.602647i
$292$	22.0134	−	10.1295i	1.28824	−	0.592786i
$293$	12.9251	+	5.35374i	0.755091	+	0.312769i	0.726817	−	0.686831i	$-0.240999\pi$
$293$	12.9251	+	5.35374i	0.755091	+	0.312769i	0.0282738	+	0.999600i	$0.490999\pi$
$294$	−5.64869	−	10.9712i	−0.329438	−	0.639854i
$295$	−1.15761	−	1.15761i	−0.0673985	−	0.0673985i
$296$	−7.30885	+	0.905769i	−0.424818	+	0.0526467i
$297$	−11.3579	−	3.04334i	−0.659052	−	0.176592i
$298$	11.2096	−	17.4976i	0.649356	−	1.01361i
$299$	−12.1170	−	15.7912i	−0.700747	−	0.913231i
$300$	12.0429	+	2.73393i	0.695296	+	0.157844i
$301$	20.3024	+	20.3423i	1.17021	+	1.17251i
$302$	−0.223965	−	2.63686i	−0.0128877	−	0.151734i
$303$	0.205366	+	0.118568i	0.0117980	+	0.00681156i
$304$	13.4777	+	4.40017i	0.773002	+	0.252367i
$305$	−0.154009	+	0.0889170i	−0.00881851	+	0.00509137i
$306$	6.26481	−	13.3465i	0.358135	−	0.762971i
$307$	5.63314	−	2.33332i	0.321500	−	0.133170i	−0.216096	−	0.976372i	$-0.569332\pi$
$307$	5.63314	−	2.33332i	0.321500	−	0.133170i	0.537596	+	0.843202i	$0.319332\pi$
$308$	4.68290	+	10.2032i	0.266833	+	0.581381i
$309$	−0.103151	+	0.249030i	−0.00586808	+	0.0141668i
$310$	−0.0694530	+	1.50332i	−0.00394466	+	0.0853831i
$311$	−19.0790	−	5.11219i	−1.08187	−	0.289886i	−0.326508	−	0.945195i	$-0.605872\pi$
$311$	−19.0790	−	5.11219i	−1.08187	−	0.289886i	−0.755361	+	0.655309i	$0.772539\pi$
$312$	−9.61372	+	9.46868i	−0.544270	+	0.536059i
$313$	12.4518	−	3.33645i	0.703817	−	0.188587i	0.110877	−	0.993834i	$-0.464634\pi$
$313$	12.4518	−	3.33645i	0.703817	−	0.188587i	0.592939	+	0.805247i	$0.297967\pi$
$314$	2.43113	+	0.773311i	0.137197	+	0.0436405i
$315$	0.715082	−	0.411917i	0.0402903	−	0.0232089i
$316$	4.60942	−	0.788704i	0.259300	−	0.0443681i
$317$	−13.6866	−	1.80188i	−0.768718	−	0.101204i	−0.264040	−	0.964512i	$-0.585055\pi$
$317$	−13.6866	−	1.80188i	−0.768718	−	0.101204i	−0.504677	+	0.863308i	$0.668389\pi$
$318$	10.8619	+	1.94363i	0.609104	+	0.108993i
$319$	7.10389	+	12.3043i	0.397742	+	0.688909i
$320$	1.58388	+	0.684454i	0.0885416	+	0.0382621i
$321$	−2.38594			−0.133170
$322$	4.14498	+	19.0128i	0.230990	+	1.05954i
$323$	9.77829	+	23.6069i	0.544079	+	1.31352i
$324$	−1.78249	+	4.82120i	−0.0990272	+	0.267844i
$325$	2.47453	+	18.7959i	0.137262	+	1.04261i
$326$	4.16010	+	18.9926i	0.230406	+	1.05190i
$327$	22.5583	−	6.04447i	1.24747	−	0.334260i
$328$	16.6922	−	4.33696i	0.921674	−	0.239469i
$329$	11.4267	−	8.75023i	0.629976	−	0.482416i
$330$	0.716462	−	0.370663i	0.0394400	−	0.0204043i
$331$	7.25779	+	9.45854i	0.398924	+	0.519888i	0.949021	−	0.315213i	$-0.102076\pi$
$331$	7.25779	+	9.45854i	0.398924	+	0.519888i	−0.550097	+	0.835101i	$0.685409\pi$
$332$	1.13835	−	2.15995i	0.0624749	−	0.118543i
$333$	−2.98744	−	2.29235i	−0.163711	−	0.125620i
$334$	−0.377131	+	0.803440i	−0.0206357	+	0.0439623i
$335$			0.966914i			0.0528282i
$336$	12.4458	−	4.37386i	0.678975	−	0.238613i
$337$			6.88603i			0.375106i	0.982254	+	0.187553i	$0.0600556\pi$
$337$			6.88603i			0.375106i	−0.982254	+	0.187553i	$0.939944\pi$
$338$	−2.10932	−	0.990106i	−0.114732	−	0.0538546i
$339$	1.44852	+	1.11149i	0.0786730	+	0.0603679i
$340$	0.920055	+	2.97044i	0.0498970	+	0.161095i
$341$	−6.37240	−	8.30468i	−0.345085	−	0.449723i
$342$	3.33096	+	6.43850i	0.180118	+	0.348154i
$343$	−17.1313	+	7.03697i	−0.925003	+	0.379961i
$344$	−24.5168	+	18.5181i	−1.32186	+	0.998428i
$345$	1.35058	−	0.361888i	0.0727130	−	0.0194834i
$346$	−5.66650	+	1.24118i	−0.304633	+	0.0667262i
$347$	−2.49415	−	18.9449i	−0.133893	−	1.01702i	−0.918053	−	0.396458i	$-0.870239\pi$
$347$	−2.49415	−	18.9449i	−0.133893	−	1.01702i	0.784160	−	0.620559i	$-0.213094\pi$
$348$	15.1666	−	6.97894i	0.813013	−	0.374111i
$349$	−6.87406	−	16.5955i	−0.367960	−	0.888334i	−0.994084	−	0.108611i	$-0.965360\pi$
$349$	−6.87406	−	16.5955i	−0.367960	−	0.888334i	0.626124	−	0.779723i	$-0.284640\pi$
$350$	5.63545	−	17.6567i	0.301228	−	0.943791i
$351$	−21.2115			−1.13219
$352$	−11.4910	+	3.46368i	−0.612471	+	0.184615i
$353$	8.34381	+	14.4519i	0.444096	+	0.769197i	0.997989	−	0.0633910i	$-0.0201915\pi$
$353$	8.34381	+	14.4519i	0.444096	+	0.769197i	−0.553893	+	0.832588i	$0.686858\pi$
$354$	2.35693	−	13.1716i	0.125270	−	0.700062i
$355$	−0.767330	−	0.101021i	−0.0407257	−	0.00536164i
$356$	19.1954	−	27.1203i	1.01735	−	1.43737i
$357$	20.5782	+	11.9078i	1.08912	+	0.630227i
$358$	10.8353	−	34.0641i	0.572664	−	1.80034i
$359$	−6.90872	+	1.85119i	−0.364628	+	0.0977019i	−0.436481	−	0.899713i	$-0.643775\pi$
$359$	−6.90872	+	1.85119i	−0.364628	+	0.0977019i	0.0718529	+	0.997415i	$0.477109\pi$
$360$	0.331405	+	0.817604i	0.0174666	+	0.0430915i
$361$	6.21748	+	1.66597i	0.327236	+	0.0876825i
$362$	4.00091	+	0.184841i	0.210283	+	0.00971501i
$363$	3.10007	−	7.48424i	0.162712	−	0.392821i
$364$	12.9235	+	15.5922i	0.677376	+	0.817254i
$365$	−2.41428	+	1.00003i	−0.126369	+	0.0523439i
$366$	−1.31577	−	0.617619i	−0.0687767	−	0.0322835i
$367$	−6.59509	+	3.80767i	−0.344261	+	0.198759i	−0.662155	−	0.749367i	$-0.730358\pi$
$367$	−6.59509	+	3.80767i	−0.344261	+	0.198759i	0.317894	+	0.948126i	$0.397024\pi$
$368$	−20.7411	+	1.60299i	−1.08121	+	0.0835617i
$369$	7.63668	+	4.40904i	0.397549	+	0.229525i
$370$	0.791368	−	0.0672158i	0.0411412	−	0.00349438i
$371$	4.30195	−	15.9923i	0.223346	−	0.830278i
$372$	−10.4075	+	6.55639i	−0.539602	+	0.339933i
$373$	−19.8436	−	25.8606i	−1.02746	−	1.33901i	−0.939372	−	0.342901i	$-0.888590\pi$
$373$	−19.8436	−	25.8606i	−1.02746	−	1.33901i	−0.0880897	−	0.996113i	$-0.528076\pi$
$374$	−18.2130	−	11.6679i	−0.941770	−	0.603333i
$375$	−2.58483	−	0.692602i	−0.133480	−	0.0357658i
$376$	7.59148	+	13.3827i	0.391501	+	0.690161i
$377$	18.1230	+	18.1230i	0.933381	+	0.933381i
$378$	18.7634	+	8.82997i	0.965087	+	0.454164i
$379$	12.9076	+	5.34651i	0.663020	+	0.274632i	0.688709	−	0.725038i	$-0.258178\pi$
$379$	12.9076	+	5.34651i	0.663020	+	0.274632i	−0.0256886	+	0.999670i	$0.508178\pi$
$380$	−1.43407	−	0.530202i	−0.0735660	−	0.0271988i
$381$	−16.5490	+	21.5671i	−0.847832	+	1.10492i
$382$	18.4195	+	3.29599i	0.942422	+	0.168638i
$383$	9.79069	−	16.9580i	0.500281	−	0.866512i	−0.499719	−	0.866188i	$-0.666563\pi$
$383$	9.79069	−	16.9580i	0.500281	−	0.866512i	1.00000		0.000324324i	$-0.000103235\pi$
$384$	2.80776	+	13.8205i	0.143283	+	0.705275i
$385$	−0.462205	−	1.11897i	−0.0235562	−	0.0570279i
$386$	−1.90206	+	2.25516i	−0.0968125	+	0.114785i
$387$	−15.5750	−	2.05049i	−0.791721	−	0.104232i
$388$	−15.9942	+	13.2832i	−0.811981	+	0.674352i
$389$	−2.92635	−	22.2278i	−0.148372	−	1.12700i	−0.889927	−	0.456104i	$-0.849245\pi$
$389$	−2.92635	−	22.2278i	−0.148372	−	1.12700i	0.741555	−	0.670892i	$-0.234089\pi$
$390$	1.07535	−	0.980372i	0.0544522	−	0.0496431i
$391$	−26.5108	−	26.5108i	−1.34071	−	1.34071i
$392$	−4.94122	−	19.1725i	−0.249569	−	0.968357i
$393$	5.24497	−	5.24497i	0.264574	−	0.264574i
$394$	−1.26409	+	27.3615i	−0.0636839	+	1.37845i
$395$	−0.499991	+	0.0658250i	−0.0251573	+	0.00331202i
$396$	−5.42865	−	2.86103i	−0.272800	−	0.143772i
$397$	4.35424	−	33.0737i	0.218533	−	1.65992i	−0.433068	−	0.901361i	$-0.642569\pi$
$397$	4.35424	−	33.0737i	0.218533	−	1.65992i	0.651601	−	0.758562i	$-0.274098\pi$
$398$	24.7027	−	2.09816i	1.23824	−	0.105171i
$399$	−10.8042	+	4.46282i	−0.540886	+	0.223421i
$400$	17.8717	+	8.55528i	0.893587	+	0.427764i
$401$	−9.46637	−	5.46541i	−0.472728	−	0.272930i	0.244653	−	0.969611i	$-0.421326\pi$
$401$	−9.46637	−	5.46541i	−0.472728	−	0.272930i	−0.717381	+	0.696681i	$0.754659\pi$
$402$	−6.48525	+	4.51658i	−0.323455	+	0.225267i
$403$	−14.9810	−	11.4953i	−0.746257	−	0.572623i
$404$	0.279210	+	0.258463i	0.0138912	+	0.0128590i
$405$	0.212127	−	0.512121i	0.0105407	−	0.0254475i
$406$	−8.48709	−	23.5756i	−0.421207	−	1.17004i
$407$	−3.90629	+	3.90629i	−0.193628	+	0.193628i
$408$	−15.6255	+	20.0463i	−0.773580	+	0.992438i
$409$	6.72708	−	25.1058i	0.332632	−	1.24140i	−0.573781	−	0.819009i	$-0.694524\pi$
$409$	6.72708	−	25.1058i	0.332632	−	1.24140i	0.906413	−	0.422392i	$-0.138810\pi$
$410$	−1.81679	+	0.397945i	−0.0897247	+	0.0196531i
$411$	2.35836	−	1.80963i	0.116329	−	0.0892626i
$412$	−0.249851	+	0.353004i	−0.0123093	+	0.0173912i
$413$	−19.3930	−	5.21674i	−0.954265	−	0.256699i
$414$	−8.13071	−	6.85765i	−0.399602	−	0.337035i
$415$	−0.131649	+	0.228023i	−0.00646240	+	0.0111932i
$416$	−18.4054	+	11.4003i	−0.902397	+	0.558947i
$417$	−1.62581	−	2.81599i	−0.0796163	−	0.137900i
$418$	10.0027	−	3.61200i	0.489247	−	0.176669i
$419$	−10.8125	−	26.1038i	−0.528227	−	1.27525i	−0.932683	−	0.360696i	$-0.882539\pi$
$419$	−10.8125	−	26.1038i	−0.528227	−	1.27525i	0.404456	−	0.914558i	$-0.367461\pi$
$420$	−1.35935	+	0.419578i	−0.0663294	+	0.0204733i
$421$	−34.0793	−	14.1161i	−1.66092	−	0.687977i	−0.662776	−	0.748818i	$-0.730622\pi$
$421$	−34.0793	−	14.1161i	−1.66092	−	0.687977i	−0.998147	+	0.0608405i	$0.980622\pi$
$422$	20.3402	+	22.3106i	0.990144	+	1.08606i
$423$	−2.03608	+	7.59876i	−0.0989977	+	0.369464i
$424$	16.3046	+	6.89924i	0.791822	+	0.335057i
$425$	9.24230	+	34.4927i	0.448317	+	1.67314i
$426$	−2.90673	−	5.61849i	−0.140832	−	0.272217i
$427$	−1.09260	+	1.88815i	−0.0528745	+	0.0913741i
$428$	−3.73315	−	0.847488i	−0.180449	−	0.0409649i
$429$	−1.32114	+	10.0351i	−0.0637853	+	0.484498i
$430$	2.71893	−	1.89357i	0.131118	−	0.0913160i
$431$	−15.8972	+	9.17826i	−0.765742	+	0.442101i	−0.831353	−	0.555744i	$-0.812433\pi$
$431$	−15.8972	+	9.17826i	−0.765742	+	0.442101i	0.0656118	+	0.997845i	$0.479100\pi$
$432$	−12.1003	+	18.5755i	−0.582176	+	0.893716i
$433$			10.6987i			0.514148i	0.966392	+	0.257074i	$0.0827584\pi$
$433$			10.6987i			0.514148i	−0.966392	+	0.257074i	$0.917242\pi$
$434$	8.46670	+	16.4049i	0.406415	+	0.787462i
$435$	−1.66337	+	0.688989i	−0.0797523	+	0.0330345i
$436$	37.4427	−	1.44474i	1.79318	−	0.0691903i
$437$	18.2761	−	2.40610i	0.874265	−	0.115099i
$438$	−17.9848	−	11.5217i	−0.859345	−	0.550529i
$439$	9.65259	+	36.0240i	0.460693	+	1.71933i	0.670788	+	0.741649i	$0.265956\pi$
$439$	9.65259	+	36.0240i	0.460693	+	1.71933i	−0.210096	+	0.977681i	$0.567377\pi$
$440$	1.25267	−	0.325468i	0.0597187	−	0.0155161i
$441$	5.07880	−	8.75699i	0.241848	−	0.416999i
$442$	−37.1829	−	11.8274i	−1.76861	−	0.562571i
$443$	−5.06309	+	3.88505i	−0.240555	+	0.184584i	−0.722002	−	0.691891i	$-0.756778\pi$
$443$	−5.06309	+	3.88505i	−0.240555	+	0.184584i	0.481447	+	0.876475i	$0.340111\pi$
$444$	4.14741	+	4.99386i	0.196827	+	0.236998i
$445$	−2.18126	+	2.84267i	−0.103402	+	0.134755i
$446$	4.97427	+	13.7752i	0.235539	+	0.652274i
$447$	−18.3163			−0.866334
$448$	21.0269	−	2.42277i	0.993427	−	0.114465i
$449$	20.8650			0.984680			0.492340	−	0.870403i	$-0.336142\pi$
$449$	20.8650			0.984680			0.492340	+	0.870403i	$0.336142\pi$
$450$	3.44082	+	9.52861i	0.162202	+	0.449183i
$451$	7.87531	−	10.2633i	0.370834	−	0.483280i
$452$	1.87162	+	2.25361i	0.0880338	+	0.106001i
$453$	−1.85055	+	1.41998i	−0.0869465	+	0.0667164i
$454$	−23.9300	−	7.61182i	−1.12309	−	0.357240i
$455$	−1.32781	−	1.73395i	−0.0622485	−	0.0812889i
$456$	−3.14256	−	12.0952i	−0.147164	−	0.566408i
$457$	−0.617791	−	2.30563i	−0.0288990	−	0.107853i	0.949970	−	0.312342i	$-0.101113\pi$
$457$	−0.617791	−	2.30563i	−0.0288990	−	0.107853i	−0.978869	+	0.204489i	$0.934447\pi$
$458$	14.4283	+	9.24332i	0.674191	+	0.431912i
$459$	−39.6122	+	5.21505i	−1.84894	+	0.243418i
$460$	2.24173	−	0.0864977i	0.104521	−	0.00403298i
$461$	−14.7405	+	6.10571i	−0.686533	+	0.284371i	−0.698555	−	0.715556i	$-0.746173\pi$
$461$	−14.7405	+	6.10571i	−0.686533	+	0.284371i	0.0120219	+	0.999928i	$0.496173\pi$
$462$	5.34608	−	8.32693i	0.248722	−	0.387404i
$463$		−	2.04572i		−	0.0950725i	−0.998870	−	0.0475362i	$-0.984863\pi$
$463$		−	2.04572i		−	0.0950725i	0.998870	−	0.0475362i	$-0.0151370\pi$
$464$	26.2092	−	5.53240i	1.21673	−	0.256835i
$465$	1.14877	−	0.663242i	0.0532729	−	0.0307571i
$466$	17.3373	−	12.0744i	0.803135	−	0.559334i
$467$	3.47990	−	26.4325i	0.161031	−	1.22315i	−0.699831	−	0.714309i	$-0.746741\pi$
$467$	3.47990	−	26.4325i	0.161031	−	1.22315i	0.860861	−	0.508840i	$-0.169925\pi$
$468$	−10.7950	−	2.45064i	−0.498998	−	0.113281i
$469$	5.92048	+	10.2779i	0.273382	+	0.474588i
$470$	−0.762413	−	1.47369i	−0.0351675	−	0.0679761i
$471$	−0.581997	−	2.17204i	−0.0268170	−	0.100082i
$472$	8.36633	−	19.7717i	0.385091	−	0.910066i
$473$	−5.96488	+	22.2612i	−0.274266	+	1.02357i
$474$	−2.77702	−	3.04604i	−0.127553	−	0.139909i
$475$	−16.2209	−	6.71893i	−0.744268	−	0.308286i
$476$	27.9680	+	25.9409i	1.28191	+	1.18900i
$477$	3.46411	+	8.36309i	0.158611	+	0.382920i
$478$	−33.4330	+	12.0728i	−1.52919	+	0.552196i
$479$	3.11186	+	5.38989i	0.142184	+	0.246270i	0.928319	−	0.371785i	$-0.121254\pi$
$479$	3.11186	+	5.38989i	0.142184	+	0.246270i	−0.786135	+	0.618055i	$0.787921\pi$
$480$	−0.245100	−	1.50097i	−0.0111872	−	0.0685097i
$481$	−4.98273	+	8.63035i	−0.227193	+	0.393510i
$482$	−13.9947	−	11.8035i	−0.637441	−	0.537635i
$483$	12.1402	−	12.1164i	0.552400	−	0.551316i
$484$	7.50892	−	10.6090i	0.341315	−	0.482229i
$485$	1.77876	−	1.36489i	0.0807695	−	0.0619766i
$486$	−18.5436	+	4.06175i	−0.841153	+	0.184245i
$487$	7.22721	−	26.9723i	0.327496	−	1.22223i	−0.584282	−	0.811551i	$-0.698624\pi$
$487$	7.22721	−	26.9723i	0.327496	−	1.22223i	0.911778	−	0.410682i	$-0.134709\pi$
$488$	−1.83934	−	1.43372i	−0.0832631	−	0.0649014i
$489$	12.1180	−	12.1180i	0.547995	−	0.547995i
$490$	0.452747	+	2.08657i	0.0204530	+	0.0942618i
$491$	−6.95705	+	16.7958i	−0.313967	+	0.757984i	0.685583	+	0.727994i	$0.259547\pi$
$491$	−6.95705	+	16.7958i	−0.313967	+	0.757984i	−0.999550	+	0.0299894i	$0.990453\pi$
$492$	−11.1555	−	10.3266i	−0.502930	−	0.465560i
$493$	38.3001	+	29.3887i	1.72495	+	1.32360i
$494$	15.7428	−	10.9639i	0.708302	−	0.493289i
$495$	0.573095	+	0.330877i	0.0257587	+	0.0148718i
$496$	−18.6128	+	6.56168i	−0.835741	+	0.294628i
$497$	−8.77493	+	3.62461i	−0.393610	+	0.162586i
$498$	−2.14434	+	0.182132i	−0.0960901	+	0.00816154i
$499$	0.575382	−	4.37046i	0.0257576	−	0.195649i	−0.973728	−	0.227714i	$-0.926875\pi$
$499$	0.575382	−	4.37046i	0.0257576	−	0.195649i	0.999486	+	0.0320650i	$0.0102084\pi$
$500$	−3.79832	−	2.00181i	−0.169866	−	0.0895236i
$501$	0.775618	−	0.102112i	0.0346520	−	0.00456203i
$502$	−0.150790	+	3.26388i	−0.00673009	+	0.145674i
$503$	−2.85777	+	2.85777i	−0.127422	+	0.127422i	−0.767942	−	0.640520i	$-0.778719\pi$
$503$	−2.85777	+	2.85777i	−0.127422	+	0.127422i	0.640520	+	0.767942i	$0.278719\pi$
$504$	8.52893	+	6.66155i	0.379909	+	0.296729i
$505$	−0.0290129	−	0.0290129i	−0.00129106	−	0.00129106i
$506$	−11.5314	+	10.5130i	−0.512635	+	0.467359i
$507$	0.268081	+	2.03628i	0.0119059	+	0.0904342i
$508$	−33.5540	+	27.8666i	−1.48872	+	1.23638i
$509$	31.9382	+	4.20474i	1.41563	+	0.186372i	0.799214	−	0.601046i	$-0.205249\pi$
$509$	31.9382	+	4.20474i	1.41563	+	0.186372i	0.616420	+	0.787418i	$0.288583\pi$
$510$	1.76716	−	2.09522i	0.0782512	−	0.0927777i
$511$	−19.5395	+	25.4127i	−0.864376	+	1.12419i
$512$	−0.515903	+	22.6215i	−0.0227999	+	0.999740i
$513$	9.82218	−	17.0125i	0.433660	−	0.751121i
$514$	20.3648	+	3.64409i	0.898254	+	0.160734i
$515$	0.0283917	−	0.0370008i	0.00125109	−	0.00163045i
$516$	25.4009	+	9.39122i	1.11821	+	0.413425i
$517$	10.6625	+	4.41657i	0.468938	+	0.194241i
$518$	8.00032	−	5.56007i	0.351514	−	0.244296i
$519$	3.61545	+	3.61545i	0.158701	+	0.158701i
$520$	2.03076	−	1.15197i	0.0890549	−	0.0505173i
$521$	−34.4633	−	9.23441i	−1.50986	−	0.404567i	−0.593474	−	0.804853i	$-0.702244\pi$
$521$	−34.4633	−	9.23441i	−1.50986	−	0.404567i	−0.916390	+	0.400286i	$0.868911\pi$
$522$	11.5324	+	7.38812i	0.504761	+	0.323369i
$523$	−11.1560	−	14.5387i	−0.487816	−	0.635734i	0.482983	−	0.875630i	$-0.339553\pi$
$523$	−11.1560	−	14.5387i	−0.487816	−	0.635734i	−0.970799	+	0.239896i	$0.922887\pi$
$524$	10.0695	−	6.34350i	0.439890	−	0.277117i
$525$	−15.7841	+	4.21273i	−0.688873	+	0.183858i
$526$	16.7837	−	1.42555i	0.731806	−	0.0621569i
$527$	−30.8030	−	17.7841i	−1.34180	−	0.774690i
$528$	8.03435	+	6.88156i	0.349650	+	0.299481i
$529$	−3.50544	+	2.02387i	−0.152410	+	0.0879941i
$530$	−1.72830	−	0.811256i	−0.0750725	−	0.0352387i
$531$	10.1415	−	4.20073i	0.440102	−	0.182296i
$532$	−18.4899	+	3.14508i	−0.801641	+	0.136356i
$533$	8.93055	−	21.5602i	0.386825	−	0.933878i
$534$	−29.2552	−	1.35158i	−1.26600	−	0.0584885i
$535$	0.398761	+	0.106848i	0.0172399	+	0.00461943i
$536$	−11.7514	+	4.76328i	−0.507584	+	0.205742i
$537$	−30.4338	+	8.15471i	−1.31331	+	0.351902i
$538$	−12.0973	+	38.0316i	−0.521553	+	1.63966i
$539$	−11.7645	−	9.06401i	−0.506735	−	0.390414i
$540$	1.38117	−	1.95139i	0.0594359	−	0.0839744i
$541$	20.9757	+	2.76150i	0.901816	+	0.118726i	0.567154	−	0.823612i	$-0.308044\pi$
$541$	20.9757	+	2.76150i	0.901816	+	0.118726i	0.334662	+	0.942338i	$0.391378\pi$
$542$	6.65506	−	37.1915i	0.285859	−	1.59751i
$543$	−1.76514	−	3.05731i	−0.0757493	−	0.131202i
$544$	−31.5689	+	25.8151i	−1.35351	+	1.10681i
$545$	−4.04083			−0.173090
$546$	5.42755	−	17.0053i	0.232278	−	0.727761i
$547$	2.99246	+	7.22444i	0.127948	+	0.308895i	0.974853	−	0.222851i	$-0.0715363\pi$
$547$	2.99246	+	7.22444i	0.127948	+	0.308895i	−0.846904	+	0.531746i	$0.821536\pi$
$548$	4.33278	−	1.99374i	0.185087	−	0.0851685i
$549$	−0.155640	−	1.18220i	−0.00664255	−	0.0504552i
$550$	14.5183	−	3.18006i	0.619062	−	0.135598i
$551$	−22.9274	+	6.14337i	−0.976739	+	0.261716i
$552$	11.0516	+	14.6316i	0.470385	+	0.622762i
$553$	−4.91163	+	3.76117i	−0.208864	+	0.159941i
$554$	1.98697	+	3.84067i	0.0844184	+	0.163174i
$555$	−0.426160	−	0.555383i	−0.0180895	−	0.0235747i
$556$	−1.54358	−	4.98351i	−0.0654623	−	0.211348i
$557$	19.8290	+	15.2153i	0.840183	+	0.644695i	0.936505	−	0.350655i	$-0.114041\pi$
$557$	19.8290	+	15.2153i	0.840183	+	0.644695i	−0.0963219	+	0.995350i	$0.530708\pi$
$558$	−9.13451	−	4.28770i	−0.386695	−	0.181513i
$559$			41.5742i			1.75840i
$560$	−2.27593	+	0.173649i	−0.0961757	+	0.00733802i
$561$			19.0652i			0.804933i
$562$	6.03953	−	12.8666i	0.254762	−	0.542745i
$563$	4.74152	+	3.63829i	0.199831	+	0.153336i	0.703830	−	0.710369i	$-0.251472\pi$
$563$	4.74152	+	3.63829i	0.199831	+	0.153336i	−0.503999	+	0.863704i	$0.668138\pi$
$564$	6.32293	−	11.9974i	0.266243	−	0.505182i
$565$	−0.192316	−	0.250631i	−0.00809079	−	0.0105441i
$566$	34.0924	−	17.6377i	1.43301	−	0.741369i
$567$	−0.880932	−	6.74249i	−0.0369957	−	0.283158i
$568$	−2.55232	−	9.82343i	−0.107093	−	0.412182i
$569$	39.8176	−	10.6691i	1.66924	−	0.447272i	0.704335	−	0.709868i	$-0.251245\pi$
$569$	39.8176	−	10.6691i	1.66924	−	0.447272i	0.964906	+	0.262596i	$0.0845788\pi$
$570$	0.288351	+	1.31644i	0.0120777	+	0.0551396i
$571$	1.82643	+	13.8731i	0.0764339	+	0.580573i	0.986213	+	0.165480i	$0.0529175\pi$
$571$	1.82643	+	13.8731i	0.0764339	+	0.580573i	−0.909779	+	0.415093i	$0.863749\pi$
$572$	−5.63159	+	15.2321i	−0.235468	+	0.636885i
$573$	−6.31172	−	15.2378i	−0.263676	−	0.636570i
$574$	−16.8750	+	15.3543i	−0.704348	+	0.640876i
$575$	25.7618			1.07434
$576$	−8.30418	+	8.05548i	−0.346008	+	0.335645i
$577$	22.6075	+	39.1574i	0.941164	+	1.63014i	0.763256	+	0.646096i	$0.223600\pi$
$577$	22.6075	+	39.1574i	0.941164	+	1.63014i	0.177908	+	0.984047i	$0.443067\pi$
$578$	−48.6807	−	8.71095i	−2.02485	−	0.362328i
$579$	2.57813	+	0.339417i	0.107143	+	0.0141057i
$580$	−2.84731	+	0.487195i	−0.118228	+	0.0202297i
$581$	−0.00317075	+	3.22988i	−0.000131545	+	0.133998i
$582$	17.4634	+	5.55487i	0.723881	+	0.230257i
$583$	12.8275	−	3.43712i	0.531261	−	0.142351i
$584$	−24.0473	−	24.4156i	−0.995083	−	1.01033i
$585$	1.15308	+	0.308966i	0.0476738	+	0.0127742i
$586$	0.913078	−	19.7638i	0.0377189	−	0.816433i
$587$	−12.3455	+	29.8048i	−0.509555	+	1.23017i	0.434585	+	0.900631i	$0.356895\pi$
$587$	−12.3455	+	29.8048i	−0.509555	+	1.23017i	−0.944140	+	0.329544i	$0.893105\pi$
$588$	−11.8801	+	12.7833i	−0.489929	+	0.527174i
$589$	16.1568	−	6.69237i	0.665729	−	0.275754i
$590$	−0.983765	+	2.09581i	−0.0405010	+	0.0862832i
$591$	20.9084	−	12.0714i	0.860055	−	0.496553i
$592$	4.71540	+	9.28678i	0.193802	+	0.381685i
$593$	−22.6591	−	13.0822i	−0.930498	−	0.537223i	−0.0435290	−	0.999052i	$-0.513860\pi$
$593$	−22.6591	−	13.0822i	−0.930498	−	0.537223i	−0.886969	+	0.461829i	$0.847193\pi$
$594$	1.40735	+	16.5694i	0.0577442	+	0.679853i
$595$	−2.90597	−	2.91168i	−0.119133	−	0.119367i
$596$	−28.6586	−	6.50598i	−1.17390	−	0.266495i
$597$	−13.3027	−	17.3364i	−0.544443	−	0.709532i
$598$	−15.1846	+	23.7023i	−0.620944	+	0.969260i
$599$	34.3016	+	9.19109i	1.40153	+	0.375538i	0.878893	−	0.477020i	$-0.158283\pi$
$599$	34.3016	+	9.19109i	1.40153	+	0.375538i	0.522633	+	0.852558i	$0.324950\pi$
$600$	−2.14791	−	17.3320i	−0.0876881	−	0.707574i
$601$	−2.58840	−	2.58840i	−0.105583	−	0.105583i	0.652342	−	0.757925i	$-0.273787\pi$
$601$	−2.58840	−	2.58840i	−0.105583	−	0.105583i	−0.757925	+	0.652342i	$0.773787\pi$
$602$	17.3066	−	36.7760i	0.705363	−	1.49888i
$603$	−5.98980	−	2.48106i	−0.243923	−	0.101036i
$604$	−3.39983	+	1.56445i	−0.138337	+	0.0636564i
$605$	−0.853273	+	1.11201i	−0.0346905	+	0.0452095i
$606$	0.0590714	−	0.330118i	0.00239961	−	0.0134101i
$607$	1.10527	−	1.91438i	0.0448614	−	0.0777021i	−0.842723	−	0.538348i	$-0.819049\pi$
$607$	1.10527	−	1.91438i	0.0448614	−	0.0777021i	0.887584	+	0.460646i	$0.152382\pi$
$608$	−0.620775	−	20.0409i	−0.0251757	−	0.812765i
$609$	−13.4621	+	17.5086i	−0.545512	+	0.709482i
$610$	0.192246	+	0.162146i	0.00778382	+	0.00656508i
$611$	20.6411	+	2.71745i	0.835048	+	0.109936i
$612$	−20.7620	−	1.92249i	−0.839253	−	0.0777122i
$613$	−2.20556	−	16.7529i	−0.0890817	−	0.676642i	−0.976475	−	0.215630i	$-0.930820\pi$
$613$	−2.20556	−	16.7529i	−0.0890817	−	0.676642i	0.887394	−	0.461013i	$-0.152514\pi$
$614$	−5.80938	−	6.37216i	−0.234447	−	0.257159i
$615$	1.15918	+	1.15918i	0.0467427	+	0.0467427i
$616$	11.3225	−	11.1298i	0.456195	−	0.448431i
$617$	6.83969	−	6.83969i	0.275356	−	0.275356i	−0.555896	−	0.831252i	$-0.687625\pi$
$617$	6.83969	−	6.83969i	0.275356	−	0.275356i	0.831252	+	0.555896i	$0.187625\pi$
$618$	0.380792	+	0.0175924i	0.0153177	+	0.000707671i
$619$	44.1940	−	5.81825i	1.77631	−	0.233855i	0.830144	−	0.557550i	$-0.188258\pi$
$619$	44.1940	−	5.81825i	1.77631	−	0.233855i	0.946162	+	0.323695i	$0.104925\pi$
$620$	2.03300	−	0.629696i	0.0816473	−	0.0252892i
$621$	−3.76228	+	28.5773i	−0.150975	+	1.14677i
$622$	2.36406	+	27.8333i	0.0947901	+	1.11601i
$623$	−5.77992	+	43.5723i	−0.231568	+	1.74569i
$624$	17.2124	+	8.23966i	0.689048	+	0.329850i
$625$	−21.0482	−	12.1522i	−0.841929	−	0.486088i
$626$	−10.4188	−	14.9601i	−0.416420	−	0.597928i
$627$	−7.43677	−	5.70644i	−0.296996	−	0.227893i
$628$	−0.139108	−	3.60520i	−0.00555101	−	0.143863i
$629$	−7.18334	+	17.3421i	−0.286418	+	0.691475i
$630$	−0.891379	−	0.753311i	−0.0355134	−	0.0300126i
$631$	5.38193	−	5.38193i	0.214251	−	0.214251i	−0.591819	−	0.806071i	$-0.701590\pi$
$631$	5.38193	−	5.38193i	0.214251	−	0.214251i	0.806071	+	0.591819i	$0.201590\pi$
$632$	−3.26310	−	5.75238i	−0.129799	−	0.228817i
$633$	6.88744	−	25.7043i	0.273751	−	1.02165i
$634$	4.17721	+	19.0707i	0.165898	+	0.757395i
$635$	3.73165	−	2.86339i	0.148086	−	0.113630i
$636$	−2.63188	−	15.3815i	−0.104361	−	0.609915i
$637$	−24.7311	−	10.3009i	−0.979881	−	0.408136i
$638$	12.9544	−	15.3592i	0.512869	−	0.608078i
$639$	2.59473	−	4.49421i	0.102646	−	0.177788i
$640$	0.149653	−	2.43555i	0.00591555	−	0.0962736i
$641$	1.28693	+	2.22903i	0.0508308	+	0.0880415i	0.890321	−	0.455333i	$-0.150480\pi$
$641$	1.28693	+	2.22903i	0.0508308	+	0.0880415i	−0.839490	+	0.543374i	$0.817146\pi$
$642$	1.14602	+	3.17365i	0.0452297	+	0.125254i
$643$	11.0924	+	26.7793i	0.437440	+	1.05607i	0.976830	+	0.214018i	$0.0686550\pi$
$643$	11.0924	+	26.7793i	0.437440	+	1.05607i	−0.539390	+	0.842056i	$0.681345\pi$
$644$	23.2989	−	14.6457i	0.918107	−	0.577121i
$645$	−2.69816	−	1.11761i	−0.106240	−	0.0440060i
$646$	26.7039	−	24.3454i	1.05065	−	0.957859i
$647$	−2.89861	+	10.8178i	−0.113956	+	0.425291i	−0.999207	−	0.0398241i	$-0.987320\pi$
$647$	−2.89861	+	10.8178i	−0.113956	+	0.425291i	0.885250	+	0.465115i	$0.153987\pi$
$648$	7.26907	+	0.0552506i	0.285556	+	0.00217045i
$649$	−4.16800	−	15.5552i	−0.163608	−	0.610595i
$650$	23.8128	−	12.3196i	0.934013	−	0.483213i
$651$	8.14982	−	14.0840i	0.319417	−	0.551994i
$652$	23.2647	−	14.6561i	0.911117	−	0.573976i
$653$	2.21171	−	16.7996i	0.0865510	−	0.657420i	−0.892092	−	0.451853i	$-0.850763\pi$
$653$	2.21171	−	16.7996i	0.0865510	−	0.657420i	0.978643	−	0.205566i	$-0.0659037\pi$
$654$	−18.8752	−	27.1025i	−0.738080	−	1.05979i
$655$	−1.11147	+	0.641707i	−0.0434287	+	0.0250736i
$656$	−13.7864	−	20.1200i	−0.538269	−	0.785553i
$657$		−	17.5219i		−	0.683595i
$658$	−17.1276	−	10.9963i	−0.667703	−	0.428681i
$659$	−1.75225	+	0.725805i	−0.0682579	+	0.0282734i	−0.416551	−	0.909112i	$-0.636761\pi$
$659$	−1.75225	+	0.725805i	−0.0682579	+	0.0282734i	0.348293	+	0.937386i	$0.386761\pi$
$660$	−0.837168	−	0.774963i	−0.0325867	−	0.0301654i
$661$	−4.89944	+	0.645023i	−0.190566	+	0.0250885i	−0.225205	−	0.974311i	$-0.572305\pi$
$661$	−4.89944	+	0.645023i	−0.190566	+	0.0250885i	0.0346390	+	0.999400i	$0.488972\pi$
$662$	9.09518	−	14.1971i	0.353494	−	0.551785i
$663$	8.90133	+	33.2202i	0.345699	+	1.29017i
$664$	−3.41982	−	0.476699i	−0.132715	−	0.0184995i
$665$	2.00555	−	0.262033i	0.0777720	−	0.0101612i
$666$	−1.61423	+	5.07480i	−0.0625500	+	0.196645i
$667$	27.6307	−	21.2018i	1.06987	−	0.820937i
$668$	1.24984	+	0.115731i	0.0483577	+	0.00447777i
$669$	7.85863	−	10.2416i	0.303832	−	0.395962i
$670$	1.28614	−	0.464429i	0.0496879	−	0.0179425i
$671$	−1.74932			−0.0675319
$672$	−11.7959	−	14.4539i	−0.455035	−	0.557572i
$673$	16.2083			0.624784			0.312392	−	0.949953i	$-0.398870\pi$
$673$	16.2083			0.624784			0.312392	+	0.949953i	$0.398870\pi$
$674$	9.15943	−	3.30751i	0.352808	−	0.127400i
$675$	16.7127	−	21.7804i	0.643270	−	0.838326i
$676$	−0.303836	+	3.28127i	−0.0116860	+	0.126203i
$677$	28.3311	−	21.7392i	1.08885	−	0.835506i	0.101625	−	0.994823i	$-0.467596\pi$
$677$	28.3311	−	21.7392i	1.08885	−	0.835506i	0.987228	+	0.159317i	$0.0509291\pi$
$678$	0.782691	−	2.46062i	0.0300590	−	0.0944996i
$679$	10.5501	−	25.3997i	0.404876	−	0.974751i
$680$	3.50920	−	2.65057i	0.134572	−	0.101645i
$681$	5.72869	+	21.3798i	0.219524	+	0.819274i
$682$	−7.98564	+	12.4651i	−0.305786	+	0.477315i
$683$	19.0099	−	2.50270i	0.727393	−	0.0957631i	0.242270	−	0.970209i	$-0.422108\pi$
$683$	19.0099	−	2.50270i	0.727393	−	0.0957631i	0.485123	+	0.874446i	$0.338775\pi$
$684$	6.96422	−	7.52322i	0.266283	−	0.287657i
$685$	−0.475191	+	0.196830i	−0.0181561	+	0.00752050i
$686$	17.5887	+	19.4071i	0.671541	+	0.740968i
$687$		−	15.1034i		−	0.576232i
$688$	36.4077	+	23.7164i	1.38803	+	0.904178i
$689$	20.7466	−	11.9781i	0.790382	−	0.456328i
$690$	−1.13008	−	1.62265i	−0.0430213	−	0.0617733i
$691$	−1.06265	+	8.07165i	−0.0404252	+	0.307060i	0.959273	+	0.282482i	$0.0911577\pi$
$691$	−1.06265	+	8.07165i	−0.0404252	+	0.307060i	−0.999698	+	0.0245784i	$0.992176\pi$
$692$	4.37269	+	6.94111i	0.166225	+	0.263862i
$693$	8.11773	+	0.00796911i	0.308367	+	0.000302722i
$694$	−24.0015	+	12.4172i	−0.911086	+	0.471351i
$695$	0.145615	+	0.543442i	0.00552348	+	0.0206139i
$696$	−16.5678	−	16.8216i	−0.628002	−	0.637622i
$697$	11.3769	−	42.4591i	0.430931	−	1.60825i
$698$	−18.7726	+	17.1147i	−0.710555	+	0.647800i
$699$	−17.2048	−	7.12648i	−0.650747	−	0.269548i
$700$	−26.1929	+	0.984908i	−0.989997	+	0.0372260i
$701$	6.09108	+	14.7052i	0.230057	+	0.555407i	0.996184	−	0.0872829i	$-0.0278184\pi$
$701$	6.09108	+	14.7052i	0.230057	+	0.555407i	−0.766126	+	0.642690i	$0.777818\pi$
$702$	10.1883	+	28.2144i	0.384534	+	1.06489i
$703$	−4.61460	−	7.99271i	−0.174043	−	0.301451i
$704$	10.1266	+	13.6210i	0.381659	+	0.513361i
$705$	−0.731243	+	1.26655i	−0.0275402	+	0.0477011i
$706$	15.2155	−	18.0400i	0.572641	−	0.678946i
$707$	−0.486043	−	0.130746i	−0.0182795	−	0.00491722i
$708$	−18.6522	+	3.19153i	−0.700994	+	0.119945i
$709$	−6.40415	+	4.91408i	−0.240513	+	0.184552i	−0.721984	−	0.691910i	$-0.756769\pi$
$709$	−6.40415	+	4.91408i	−0.240513	+	0.184552i	0.481471	+	0.876462i	$0.340103\pi$
$710$	0.234192	+	1.06918i	0.00878908	+	0.0401258i
$711$	0.875182	−	3.26622i	0.0328219	−	0.122493i
$712$	−45.2939	−	12.5062i	−1.69746	−	0.468690i
$713$	−18.1443	+	18.1443i	−0.679510	+	0.679510i
$714$	5.95497	−	33.0916i	0.222859	−	1.23842i
$715$	0.670194	−	1.61799i	0.0250638	−	0.0605094i
$716$	−50.5147	+	1.94912i	−1.88782	+	0.0728421i
$717$	24.8567	+	19.0732i	0.928291	+	0.712303i
$718$	5.78075	+	8.30045i	0.215736	+	0.309770i
$719$	−23.7592	−	13.7174i	−0.886069	−	0.511572i	−0.0134141	−	0.999910i	$-0.504270\pi$
$719$	−23.7592	−	13.7174i	−0.886069	−	0.511572i	−0.872655	+	0.488338i	$0.837603\pi$
$720$	0.928353	−	0.833530i	0.0345977	−	0.0310638i
$721$	0.0752327	−	0.567146i	0.00280181	−	0.0211216i
$722$	−0.770403	−	9.07036i	−0.0286714	−	0.337564i
$723$	−2.10630	+	15.9989i	−0.0783341	+	0.595006i
$724$	−1.67586	−	5.41059i	−0.0622828	−	0.201083i
$725$	−32.8882	+	4.32981i	−1.22144	+	0.160805i
$726$	−11.4442	−	0.528716i	−0.424733	−	0.0196225i
$727$	37.3364	−	37.3364i	1.38473	−	1.38473i	0.548736	−	0.835996i	$-0.315109\pi$
$727$	37.3364	−	37.3364i	1.38473	−	1.38473i	0.835996	−	0.548736i	$-0.184891\pi$
$728$	14.5325	−	24.6794i	0.538611	−	0.914681i
$729$	17.2835	+	17.2835i	0.640129	+	0.640129i
$730$	2.48981	+	2.73102i	0.0921522	+	0.101079i
$731$	10.2214	+	77.6392i	0.378052	+	2.87159i
$732$	−0.189530	+	2.04683i	−0.00700523	+	0.0756530i
$733$	25.2186	+	3.32009i	0.931471	+	0.122630i	0.580964	−	0.813930i	$-0.302676\pi$
$733$	25.2186	+	3.32009i	0.931471	+	0.122630i	0.350507	+	0.936560i	$0.386009\pi$
$734$	8.23253	+	6.94353i	0.303868	+	0.256290i
$735$	1.33336	−	1.32813i	0.0491816	−	0.0489889i
$736$	12.0946	+	26.8188i	0.445813	+	0.988554i
$737$	−4.75569	+	8.23710i	−0.175178	+	0.303417i
$738$	2.19661	−	12.2757i	0.0808584	−	0.451873i
$739$	−7.05694	+	9.19679i	−0.259594	+	0.338309i	−0.904907	−	0.425608i	$-0.860060\pi$
$739$	−7.05694	+	9.19679i	−0.259594	+	0.338309i	0.645313	+	0.763918i	$0.276727\pi$
$740$	−0.469518	−	1.02035i	−0.0172598	−	0.0375088i
$741$	−15.6225	−	6.47106i	−0.573908	−	0.237720i
$742$	−23.3384	+	1.95920i	−0.856780	+	0.0719246i
$743$	1.78374	+	1.78374i	0.0654392	+	0.0654392i	0.739069	−	0.673630i	$-0.235266\pi$
$743$	1.78374	+	1.78374i	0.0654392	+	0.0654392i	−0.673630	+	0.739069i	$0.735266\pi$
$744$	13.7199	+	10.6943i	0.502995	+	0.392072i
$745$	3.06120	+	0.820246i	0.112154	+	0.0300515i
$746$	−24.8672	+	38.8163i	−0.910452	+	1.42117i
$747$	−1.07474	−	1.40063i	−0.0393227	−	0.0512464i
$748$	−6.77197	+	29.8303i	−0.247608	+	1.09070i
$749$	4.89288	−	1.30590i	0.178782	−	0.0477164i
$750$	0.320284	+	3.77087i	0.0116951	+	0.137693i
$751$	−21.1263	−	12.1973i	−0.770911	−	0.445085i	0.0622888	−	0.998058i	$-0.480160\pi$
$751$	−21.1263	−	12.1973i	−0.770911	−	0.445085i	−0.833199	+	0.552973i	$0.813493\pi$
$752$	14.1546	−	16.5258i	0.516166	−	0.602634i
$753$	2.49410	−	1.43997i	0.0908902	−	0.0524755i
$754$	15.4014	−	32.8111i	0.560885	−	1.19491i
$755$	0.372871	−	0.154448i	0.0135702	−	0.00562095i
$756$	2.73268	−	29.1994i	0.0993866	−	1.06197i
$757$	−7.21820	+	17.4263i	−0.262350	+	0.633369i	−0.999083	−	0.0428149i	$-0.986367\pi$
$757$	−7.21820	+	17.4263i	−0.262350	+	0.633369i	0.736733	+	0.676184i	$0.236367\pi$
$758$	0.911845	−	19.7371i	0.0331197	−	0.716883i
$759$	13.2855	+	3.55983i	0.482232	+	0.129214i
$760$	−0.0164343	+	2.16219i	−0.000596134	+	0.0784307i
$761$	−25.3520	+	6.79304i	−0.919008	+	0.246247i	−0.687161	−	0.726505i	$-0.741143\pi$
$761$	−25.3520	+	6.79304i	−0.919008	+	0.246247i	−0.231847	+	0.972752i	$0.574477\pi$
$762$	36.6363	+	11.6535i	1.32719	+	0.422162i
$763$	−42.9522	+	24.7423i	−1.55497	+	0.895731i
$764$	−4.46311	−	26.0837i	−0.161470	−	0.943677i
$765$	2.22932	+	0.293495i	0.0806011	+	0.0106113i
$766$	−27.2593	−	4.87779i	−0.984918	−	0.176242i
$767$	−14.5251	−	25.1582i	−0.524472	−	0.908412i
$768$	17.0347	−	10.3730i	0.614686	−	0.374304i
$769$	−22.9189			−0.826475			−0.413238	−	0.910623i	$-0.635602\pi$
$769$	−22.9189			−0.826475			−0.413238	+	0.910623i	$0.635602\pi$
$770$	−1.26638	+	1.15226i	−0.0456373	+	0.0415247i
$771$	−6.97832	−	16.8472i	−0.251318	−	0.606736i
$772$	3.91330	+	1.44682i	0.140843	+	0.0520723i

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:	\( N \)	\(=\)	\( 224 = 2^{5} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	224.bd (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.480321 - 1.33015i) q^{2} +(-0.758838 + 0.988936i) q^{3} +(-1.53858 + 1.27780i) q^{4} +(0.171111 - 0.131298i) q^{5} +(1.67992 + 0.534359i) q^{6} +(1.01488 - 2.44336i) q^{7} +(2.43867 + 1.43279i) q^{8} +(0.374296 + 1.39689i) q^{9} +O(q^{10})\)	\(q+(-0.480321 - 1.33015i) q^{2} +(-0.758838 + 0.988936i) q^{3} +(-1.53858 + 1.27780i) q^{4} +(0.171111 - 0.131298i) q^{5} +(1.67992 + 0.534359i) q^{6} +(1.01488 - 2.44336i) q^{7} +(2.43867 + 1.43279i) q^{8} +(0.374296 + 1.39689i) q^{9} +(-0.256834 - 0.164537i) q^{10} +(2.10346 - 0.276926i) q^{11} +(-0.0961237 - 2.49120i) q^{12} +(3.53590 - 1.46462i) q^{13} +(-3.73750 - 0.176348i) q^{14} +0.268851i q^{15} +(0.734477 - 3.93199i) q^{16} +(6.24315 - 3.60448i) q^{17} +(1.67829 - 1.16883i) q^{18} +(-0.462645 + 3.51414i) q^{19} +(-0.0954963 + 0.420657i) q^{20} +(1.64620 + 2.85777i) q^{21} +(-1.37869 - 2.66490i) q^{22} +(-1.34605 - 5.02353i) q^{23} +(-3.26749 + 1.32443i) q^{24} +(-1.28206 + 4.78470i) q^{25} +(-3.64652 - 3.99978i) q^{26} +(-5.12039 - 2.12094i) q^{27} +(1.56063 + 5.05613i) q^{28} +(2.56271 + 6.18694i) q^{29} +(0.357612 - 0.129135i) q^{30} +(-2.46695 - 4.27288i) q^{31} +(-5.58291 + 0.911655i) q^{32} +(-1.32232 + 2.29033i) q^{33} +(-7.79321 - 6.57300i) q^{34} +(-0.147150 - 0.551337i) q^{35} +(-2.36083 - 1.67096i) q^{36} +(-2.06576 + 1.58511i) q^{37} +(4.89654 - 1.07253i) q^{38} +(-1.23476 + 4.60818i) q^{39} +(0.605405 - 0.0750265i) q^{40} +(4.31161 - 4.31161i) q^{41} +(3.01055 - 3.56233i) q^{42} +(-4.15699 + 10.0359i) q^{43} +(-2.88250 + 3.11387i) q^{44} +(0.247455 + 0.189879i) q^{45} +(-6.03550 + 4.20335i) q^{46} +(4.71097 + 2.71988i) q^{47} +(3.33114 + 3.71009i) q^{48} +(-4.94002 - 4.95946i) q^{49} +(6.98015 - 0.592868i) q^{50} +(-1.17293 + 8.90930i) q^{51} +(-3.56879 + 6.77158i) q^{52} +(6.20584 - 0.817015i) q^{53} +(-0.361725 + 7.82960i) q^{54} +(0.323565 - 0.323565i) q^{55} +(5.97579 - 4.50443i) q^{56} +(-3.12418 - 3.12418i) q^{57} +(6.99861 - 6.38050i) q^{58} +(-0.990748 - 7.52548i) q^{59} +(-0.343537 - 0.413650i) q^{60} +(-0.817471 - 0.107622i) q^{61} +(-4.49863 + 5.33376i) q^{62} +(3.79298 + 0.503144i) q^{63} +(3.89422 + 6.98821i) q^{64} +(0.412729 - 0.714867i) q^{65} +(3.68162 + 0.658791i) q^{66} +(-2.72913 + 3.55667i) q^{67} +(-4.99981 + 13.5233i) q^{68} +(5.98939 + 2.48089i) q^{69} +(-0.662680 + 0.460551i) q^{70} +(-2.53740 - 2.53740i) q^{71} +(-1.08867 + 3.94285i) q^{72} +(-11.7032 - 3.13587i) q^{73} +(3.10066 + 1.98640i) q^{74} +(-3.75889 - 4.89868i) q^{75} +(-3.77853 - 5.99796i) q^{76} +(1.45814 - 5.42056i) q^{77} +(6.72264 - 0.570996i) q^{78} +(-2.02495 - 1.16910i) q^{79} +(-0.390585 - 0.769241i) q^{80} +(2.22575 - 1.28504i) q^{81} +(-7.80603 - 3.66412i) q^{82} +(-1.12785 + 0.467172i) q^{83} +(-6.18445 - 2.29342i) q^{84} +(0.595009 - 1.43648i) q^{85} +(15.3459 + 0.708973i) q^{86} +(-8.06317 - 2.16052i) q^{87} +(5.52643 + 2.33849i) q^{88} +(-16.0470 + 4.29977i) q^{89} +(0.133709 - 0.420355i) q^{90} +(0.00994050 - 10.1259i) q^{91} +(8.49006 + 6.00914i) q^{92} +(6.09762 + 0.802767i) q^{93} +(1.35506 - 7.57270i) q^{94} +(0.382235 + 0.662051i) q^{95} +(3.33495 - 6.21294i) q^{96} +10.3954 q^{97} +(-4.22401 + 8.95308i) q^{98} +(1.17415 + 2.83466i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \)	\( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

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