LMFDB - Embedded newform 96.2.o.a.11.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [96,2,Mod(11,96)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(96, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([4, 5, 4]))

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

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

chi := DirichletCharacter("96.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 96 = 2^{5} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	96.o (of order $8$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.766563859404$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			11.11
Character	$\chi$	$=$	96.11
Dual form			96.2.o.a.35.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.838298 - 1.13897i) q^{2} +(-1.57410 - 0.722645i) q^{3} +(-0.594512 - 1.90960i) q^{4} +(-0.378520 - 0.156788i) q^{5} +(-2.14264 + 1.18706i) q^{6} +(2.01144 - 2.01144i) q^{7} +(-2.67335 - 0.923679i) q^{8} +(1.95557 + 2.27503i) q^{9} +O(q^{10})$	\(q+(0.838298 - 1.13897i) q^{2} +(-1.57410 - 0.722645i) q^{3} +(-0.594512 - 1.90960i) q^{4} +(-0.378520 - 0.156788i) q^{5} +(-2.14264 + 1.18706i) q^{6} +(2.01144 - 2.01144i) q^{7} +(-2.67335 - 0.923679i) q^{8} +(1.95557 + 2.27503i) q^{9} +(-0.495890 + 0.299689i) q^{10} +(-0.709852 - 0.294030i) q^{11} +(-0.444140 + 3.43551i) q^{12} +(2.08393 + 5.03104i) q^{13} +(-0.604786 - 3.97716i) q^{14} +(0.482526 + 0.520336i) q^{15} +(-3.29311 + 2.27055i) q^{16} +6.33777 q^{17} +(4.23054 - 0.320185i) q^{18} +(0.646487 - 0.267784i) q^{19} +(-0.0743674 + 0.816033i) q^{20} +(-4.61976 + 1.71265i) q^{21} +(-0.929959 + 0.562016i) q^{22} +(-1.61798 + 1.61798i) q^{23} +(3.54063 + 3.38585i) q^{24} +(-3.41684 - 3.41684i) q^{25} +(7.47717 + 1.84398i) q^{26} +(-1.43422 - 4.99430i) q^{27} +(-5.03686 - 2.64521i) q^{28} +(-2.04571 - 4.93879i) q^{29} +(0.997148 - 0.113386i) q^{30} +5.75464i q^{31} +(-0.174513 + 5.65416i) q^{32} +(0.904897 + 0.975803i) q^{33} +(5.31295 - 7.21854i) q^{34} +(-1.07674 + 0.446001i) q^{35} +(3.18177 - 5.08688i) q^{36} +(-2.50232 + 6.04113i) q^{37} +(0.236951 - 0.960813i) q^{38} +(0.355354 - 9.42529i) q^{39} +(0.867097 + 0.768782i) q^{40} +(-5.52228 - 5.52228i) q^{41} +(-1.92208 + 6.69748i) q^{42} +(-0.406593 + 0.981601i) q^{43} +(-0.139464 + 1.53033i) q^{44} +(-0.383525 - 1.16775i) q^{45} +(0.486482 + 3.19917i) q^{46} +10.4826i q^{47} +(6.82448 - 1.19433i) q^{48} -1.09178i q^{49} +(-6.75601 + 1.02735i) q^{50} +(-9.97628 - 4.57996i) q^{51} +(8.36834 - 6.97047i) q^{52} +(-0.674566 + 1.62855i) q^{53} +(-6.89067 - 2.55318i) q^{54} +(0.222593 + 0.222593i) q^{55} +(-7.23521 + 3.51937i) q^{56} +(-1.21115 - 0.0456628i) q^{57} +(-7.34006 - 1.81017i) q^{58} +(3.35082 - 8.08960i) q^{59} +(0.706764 - 1.23078i) q^{60} +(4.14715 - 1.71781i) q^{61} +(6.55438 + 4.82411i) q^{62} +(8.50959 + 0.642573i) q^{63} +(6.29363 + 4.93864i) q^{64} -2.23109i q^{65} +(1.86999 - 0.212637i) q^{66} +(-2.65183 - 6.40208i) q^{67} +(-3.76788 - 12.1026i) q^{68} +(3.71607 - 1.37763i) q^{69} +(-0.394648 + 1.60026i) q^{70} +(1.97014 + 1.97014i) q^{71} +(-3.12653 - 7.88827i) q^{72} +(9.48914 - 9.48914i) q^{73} +(4.78299 + 7.91434i) q^{74} +(2.90928 + 7.84760i) q^{75} +(-0.895703 - 1.07533i) q^{76} +(-2.01925 + 0.836400i) q^{77} +(-10.4372 - 8.30595i) q^{78} -8.75751 q^{79} +(1.60251 - 0.343130i) q^{80} +(-1.35150 + 8.89795i) q^{81} +(-10.9190 + 1.66040i) q^{82} +(6.60293 + 15.9409i) q^{83} +(6.01696 + 7.80369i) q^{84} +(-2.39898 - 0.993689i) q^{85} +(0.777170 + 1.28597i) q^{86} +(-0.348838 + 9.25246i) q^{87} +(1.62609 + 1.44172i) q^{88} +(-6.11535 + 6.11535i) q^{89} +(-1.65155 - 0.542103i) q^{90} +(14.3113 + 5.92795i) q^{91} +(4.05158 + 2.12777i) q^{92} +(4.15856 - 9.05837i) q^{93} +(11.9394 + 8.78755i) q^{94} -0.286694 q^{95} +(4.36065 - 8.77409i) q^{96} -5.09195 q^{97} +(-1.24351 - 0.915239i) q^{98} +(-0.719237 - 2.18993i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9}+O(q^{10}) $ 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9	$ 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9} - 16 q^{10} - 4 q^{12} - 8 q^{13} - 8 q^{15} - 40 q^{16} - 4 q^{18} - 8 q^{19} - 4 q^{21} - 24 q^{22} + 16 q^{24} - 8 q^{25} - 28 q^{27} - 8 q^{28} + 44 q^{30} - 8 q^{33} - 24 q^{34} + 48 q^{36} - 8 q^{37} - 28 q^{39} + 24 q^{40} + 56 q^{42} - 8 q^{43} - 4 q^{45} + 24 q^{46} + 48 q^{48} - 16 q^{51} + 48 q^{52} + 40 q^{54} + 24 q^{55} - 4 q^{57} + 96 q^{58} + 8 q^{60} - 40 q^{61} + 40 q^{64} - 28 q^{66} + 56 q^{67} - 4 q^{69} + 40 q^{70} - 64 q^{72} - 8 q^{73} + 16 q^{75} + 48 q^{76} - 92 q^{78} + 16 q^{79} - 48 q^{82} - 136 q^{84} - 48 q^{85} + 52 q^{87} - 48 q^{88} - 136 q^{90} + 40 q^{91} + 8 q^{93} - 64 q^{94} - 104 q^{96} - 16 q^{97} + 60 q^{99}+O(q^{100}) $ 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9 - 16 * q^10 - 4 * q^12 - 8 * q^13 - 8 * q^15 - 40 * q^16 - 4 * q^18 - 8 * q^19 - 4 * q^21 - 24 * q^22 + 16 * q^24 - 8 * q^25 - 28 * q^27 - 8 * q^28 + 44 * q^30 - 8 * q^33 - 24 * q^34 + 48 * q^36 - 8 * q^37 - 28 * q^39 + 24 * q^40 + 56 * q^42 - 8 * q^43 - 4 * q^45 + 24 * q^46 + 48 * q^48 - 16 * q^51 + 48 * q^52 + 40 * q^54 + 24 * q^55 - 4 * q^57 + 96 * q^58 + 8 * q^60 - 40 * q^61 + 40 * q^64 - 28 * q^66 + 56 * q^67 - 4 * q^69 + 40 * q^70 - 64 * q^72 - 8 * q^73 + 16 * q^75 + 48 * q^76 - 92 * q^78 + 16 * q^79 - 48 * q^82 - 136 * q^84 - 48 * q^85 + 52 * q^87 - 48 * q^88 - 136 * q^90 + 40 * q^91 + 8 * q^93 - 64 * q^94 - 104 * q^96 - 16 * q^97 + 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/96\mathbb{Z}\right)^\times$.

$n$	$31$	$37$	$65$
$\chi(n)$	$-1$	$e\left(\frac{5}{8}\right)$	$-1$

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 $

$2$	0.838298	−	1.13897i	0.592766	−	0.805374i
$2$	0.838298	−	1.13897i	0.592766	−	0.805374i
$3$	−1.57410	−	0.722645i	−0.908806	−	0.417219i
$3$	−1.57410	−	0.722645i	−0.908806	−	0.417219i
$4$	−0.594512	−	1.90960i	−0.297256	−	0.954798i
$5$	−0.378520	−	0.156788i	−0.169279	−	0.0701179i	0.296434	−	0.955053i	$-0.404202\pi$
$5$	−0.378520	−	0.156788i	−0.169279	−	0.0701179i	−0.465714	+	0.884935i	$0.654202\pi$
$6$	−2.14264	+	1.18706i	−0.874727	+	0.484615i
$7$	2.01144	−	2.01144i	0.760253	−	0.760253i	−0.216115	−	0.976368i	$-0.569339\pi$
$7$	2.01144	−	2.01144i	0.760253	−	0.760253i	0.976368	+	0.216115i	$0.0693386\pi$
$8$	−2.67335	−	0.923679i	−0.945173	−	0.326570i
$9$	1.95557	+	2.27503i	0.651856	+	0.758343i
$10$	−0.495890	+	0.299689i	−0.156814	+	0.0947698i
$11$	−0.709852	−	0.294030i	−0.214028	−	0.0886534i	0.273093	−	0.961988i	$-0.411953\pi$
$11$	−0.709852	−	0.294030i	−0.214028	−	0.0886534i	−0.487122	+	0.873334i	$0.661953\pi$
$12$	−0.444140	+	3.43551i	−0.128212	+	0.991747i
$13$	2.08393	+	5.03104i	0.577977	+	1.39536i	0.894625	+	0.446817i	$0.147443\pi$
$13$	2.08393	+	5.03104i	0.577977	+	1.39536i	−0.316648	+	0.948543i	$0.602557\pi$
$14$	−0.604786	−	3.97716i	−0.161636	−	1.06294i
$15$	0.482526	+	0.520336i	0.124588	+	0.134350i
$16$	−3.29311	+	2.27055i	−0.823278	+	0.567639i
$17$	6.33777			1.53714			0.768568	−	0.639768i	$-0.220970\pi$
$17$	6.33777			1.53714			0.768568	+	0.639768i	$0.220970\pi$
$18$	4.23054	−	0.320185i	0.997148	−	0.0754683i
$19$	0.646487	−	0.267784i	0.148314	−	0.0614338i	−0.307291	−	0.951615i	$-0.599423\pi$
$19$	0.646487	−	0.267784i	0.148314	−	0.0614338i	0.455606	+	0.890182i	$0.349423\pi$
$20$	−0.0743674	+	0.816033i	−0.0166290	+	0.182471i
$21$	−4.61976	+	1.71265i	−1.00811	+	0.373730i
$22$	−0.929959	+	0.562016i	−0.198268	+	0.119822i
$23$	−1.61798	+	1.61798i	−0.337371	+	0.337371i	−0.855377	−	0.518006i	$-0.826675\pi$
$23$	−1.61798	+	1.61798i	−0.337371	+	0.337371i	0.518006	+	0.855377i	$0.326675\pi$
$24$	3.54063	+	3.38585i	0.722728	+	0.691133i
$25$	−3.41684	−	3.41684i	−0.683368	−	0.683368i
$26$	7.47717	+	1.84398i	1.46639	+	0.361635i
$27$	−1.43422	−	4.99430i	−0.276016	−	0.961153i
$28$	−5.03686	−	2.64521i	−0.951877	−	0.499898i
$29$	−2.04571	−	4.93879i	−0.379879	−	0.917110i	−0.991988	−	0.126336i	$-0.959678\pi$
$29$	−2.04571	−	4.93879i	−0.379879	−	0.917110i	0.612108	−	0.790774i	$-0.290322\pi$
$30$	0.997148	−	0.113386i	0.182054	−	0.0207014i
$31$			5.75464i			1.03356i	0.856117	+	0.516782i	$0.172870\pi$
$31$			5.75464i			1.03356i	−0.856117	+	0.516782i	$0.827130\pi$
$32$	−0.174513	+	5.65416i	−0.0308498	+	0.999524i
$33$	0.904897	+	0.975803i	0.157522	+	0.169866i
$34$	5.31295	−	7.21854i	0.911163	−	1.23797i
$35$	−1.07674	+	0.446001i	−0.182002	+	0.0753879i
$36$	3.18177	−	5.08688i	0.530296	−	0.847813i
$37$	−2.50232	+	6.04113i	−0.411379	+	0.993156i	0.573389	+	0.819283i	$0.305628\pi$
$37$	−2.50232	+	6.04113i	−0.411379	+	0.993156i	−0.984768	+	0.173873i	$0.944372\pi$
$38$	0.236951	−	0.960813i	0.0384385	−	0.155864i
$39$	0.355354	−	9.42529i	0.0569021	−	1.50925i
$40$	0.867097	+	0.768782i	0.137100	+	0.121555i
$41$	−5.52228	−	5.52228i	−0.862435	−	0.862435i	0.129185	−	0.991620i	$-0.458764\pi$
$41$	−5.52228	−	5.52228i	−0.862435	−	0.862435i	−0.991620	+	0.129185i	$0.958764\pi$
$42$	−1.92208	+	6.69748i	−0.296584	+	1.03344i
$43$	−0.406593	+	0.981601i	−0.0620048	+	0.149693i	−0.951845	−	0.306579i	$-0.900816\pi$
$43$	−0.406593	+	0.981601i	−0.0620048	+	0.149693i	0.889840	+	0.456272i	$0.150816\pi$
$44$	−0.139464	+	1.53033i	−0.0210249	+	0.230707i
$45$	−0.383525	−	1.16775i	−0.0571725	−	0.174079i
$46$	0.486482	+	3.19917i	0.0717278	+	0.471692i
$47$			10.4826i			1.52904i	0.644597	+	0.764522i	$0.277025\pi$
$47$			10.4826i			1.52904i	−0.644597	+	0.764522i	$0.722975\pi$
$48$	6.82448	−	1.19433i	0.985029	−	0.172386i
$49$		−	1.09178i		−	0.155969i
$50$	−6.75601	+	1.02735i	−0.955444	+	0.145289i
$51$	−9.97628	−	4.57996i	−1.39696	−	0.641323i
$52$	8.36834	−	6.97047i	1.16048	−	0.966630i
$53$	−0.674566	+	1.62855i	−0.0926588	+	0.223698i	−0.963413	−	0.268020i	$-0.913631\pi$
$53$	−0.674566	+	1.62855i	−0.0926588	+	0.223698i	0.870755	+	0.491718i	$0.163631\pi$
$54$	−6.89067	−	2.55318i	−0.937701	−	0.347443i
$55$	0.222593	+	0.222593i	0.0300144	+	0.0300144i
$56$	−7.23521	+	3.51937i	−0.966846	+	0.470295i
$57$	−1.21115	−	0.0456628i	−0.160420	−	0.00604819i
$58$	−7.34006	−	1.81017i	−0.963797	−	0.237687i
$59$	3.35082	−	8.08960i	0.436240	−	1.05318i	−0.540997	−	0.841025i	$-0.681953\pi$
$59$	3.35082	−	8.08960i	0.436240	−	1.05318i	0.977237	−	0.212152i	$-0.0680472\pi$
$60$	0.706764	−	1.23078i	0.0912428	−	0.158892i
$61$	4.14715	−	1.71781i	0.530988	−	0.219943i	−0.101048	−	0.994882i	$-0.532219\pi$
$61$	4.14715	−	1.71781i	0.530988	−	0.219943i	0.632036	+	0.774939i	$0.282219\pi$
$62$	6.55438	+	4.82411i	0.832407	+	0.612662i
$63$	8.50959	+	0.642573i	1.07211	+	0.0809566i
$64$	6.29363	+	4.93864i	0.786704	+	0.617330i
$65$		−	2.23109i		−	0.276732i
$66$	1.86999	−	0.212637i	0.230179	−	0.0261739i
$67$	−2.65183	−	6.40208i	−0.323972	−	0.782138i	−0.999016	−	0.0443601i	$-0.985875\pi$
$67$	−2.65183	−	6.40208i	−0.323972	−	0.782138i	0.675043	−	0.737778i	$-0.264125\pi$
$68$	−3.76788	−	12.1026i	−0.456923	−	1.46765i
$69$	3.71607	−	1.37763i	0.447363	−	0.165847i
$70$	−0.394648	+	1.60026i	−0.0471695	+	0.191268i
$71$	1.97014	+	1.97014i	0.233813	+	0.233813i	0.814282	−	0.580469i	$-0.197131\pi$
$71$	1.97014	+	1.97014i	0.233813	+	0.233813i	−0.580469	+	0.814282i	$0.697131\pi$
$72$	−3.12653	−	7.88827i	−0.368465	−	0.929642i
$73$	9.48914	−	9.48914i	1.11062	−	1.11062i	0.117554	−	0.993067i	$-0.462495\pi$
$73$	9.48914	−	9.48914i	1.11062	−	1.11062i	0.993067	−	0.117554i	$-0.0375052\pi$
$74$	4.78299	+	7.91434i	0.556011	+	0.920023i
$75$	2.90928	+	7.84760i	0.335934	+	0.906163i
$76$	−0.895703	−	1.07533i	−0.102744	−	0.123349i
$77$	−2.01925	+	0.836400i	−0.230115	+	0.0953166i
$78$	−10.4372	−	8.30595i	−1.18179	−	0.940463i
$79$	−8.75751			−0.985297			−0.492649	−	0.870228i	$-0.663971\pi$
$79$	−8.75751			−0.985297			−0.492649	+	0.870228i	$0.663971\pi$
$80$	1.60251	−	0.343130i	0.179166	−	0.0383631i
$81$	−1.35150	+	8.89795i	−0.150167	+	0.988661i
$82$	−10.9190	+	1.66040i	−1.20581	+	0.183361i
$83$	6.60293	+	15.9409i	0.724766	+	1.74974i	0.659294	+	0.751885i	$0.270855\pi$
$83$	6.60293	+	15.9409i	0.724766	+	1.74974i	0.0654719	+	0.997854i	$0.479145\pi$
$84$	6.01696	+	7.80369i	0.656505	+	0.851452i
$85$	−2.39898	−	0.993689i	−0.260206	−	0.107781i
$86$	0.777170	+	1.28597i	0.0838044	+	0.138670i
$87$	−0.348838	+	9.25246i	−0.0373993	+	0.991968i
$88$	1.62609	+	1.44172i	0.173342	+	0.153688i
$89$	−6.11535	+	6.11535i	−0.648226	+	0.648226i	−0.952564	−	0.304338i	$-0.901565\pi$
$89$	−6.11535	+	6.11535i	−0.648226	+	0.648226i	0.304338	+	0.952564i	$0.401565\pi$
$90$	−1.65155	−	0.542103i	−0.174088	−	0.0571427i
$91$	14.3113	+	5.92795i	1.50024	+	0.621418i
$92$	4.05158	+	2.12777i	0.422407	+	0.221836i
$93$	4.15856	−	9.05837i	0.431223	−	0.939310i
$94$	11.9394	+	8.78755i	1.23145	+	0.906366i
$95$	−0.286694			−0.0294142
$96$	4.36065	−	8.77409i	0.445057	−	0.895502i
$97$	−5.09195			−0.517009			−0.258505	−	0.966010i	$-0.583230\pi$
$97$	−5.09195			−0.517009			−0.258505	+	0.966010i	$0.583230\pi$
$98$	−1.24351	−	0.915239i	−0.125613	−	0.0924531i
$99$	−0.719237	−	2.18993i	−0.0722860	−	0.220096i
$100$	−4.49343	+	8.55613i	−0.449343	+	0.855613i
$101$	−2.33659	−	0.967847i	−0.232499	−	0.0963044i	0.263392	−	0.964689i	$-0.415159\pi$
$101$	−2.33659	−	0.967847i	−0.232499	−	0.0963044i	−0.495892	+	0.868384i	$0.665159\pi$
$102$	−13.5795	+	7.52332i	−1.34458	+	0.744920i
$103$	−6.15411	+	6.15411i	−0.606383	+	0.606383i	−0.941999	−	0.335616i	$-0.891055\pi$
$103$	−6.15411	+	6.15411i	−0.606383	+	0.606383i	0.335616	+	0.941999i	$0.391055\pi$
$104$	−0.924003	−	15.3746i	−0.0906060	−	1.50761i
$105$	2.01720	+	0.0760526i	0.196858	+	0.00742198i
$106$	1.28938	+	2.13352i	0.125236	+	0.207226i
$107$	1.19264	+	0.494009i	0.115297	+	0.0477576i	0.439586	−	0.898200i	$-0.355125\pi$
$107$	1.19264	+	0.494009i	0.115297	+	0.0477576i	−0.324289	+	0.945958i	$0.605125\pi$
$108$	−8.68443	+	5.70795i	−0.835660	+	0.549248i
$109$	−0.933827	−	2.25446i	−0.0894444	−	0.215938i	0.872827	−	0.488030i	$-0.162284\pi$
$109$	−0.933827	−	2.25446i	−0.0894444	−	0.215938i	−0.962271	+	0.272092i	$0.912284\pi$
$110$	0.440126	−	0.0669277i	0.0419644	−	0.00638130i
$111$	8.30449	−	7.70104i	0.788227	−	0.730951i
$112$	−2.05681	+	11.1910i	−0.194350	+	1.05745i
$113$	7.02329			0.660696			0.330348	−	0.943859i	$-0.392834\pi$
$113$	7.02329			0.660696			0.330348	+	0.943859i	$0.392834\pi$
$114$	−1.06731	+	1.34118i	−0.0999628	+	0.125613i
$115$	0.866116	−	0.358757i	0.0807657	−	0.0334543i
$116$	−8.21489	+	6.84265i	−0.762733	+	0.635324i
$117$	−7.37050	+	14.5795i	−0.681403	+	1.34788i
$118$	−6.40484	−	10.5980i	−0.589613	−	0.975624i
$119$	12.7481	−	12.7481i	1.16861	−	1.16861i
$120$	−0.809339	−	1.83674i	−0.0738822	−	0.167671i
$121$	−7.36074	−	7.36074i	−0.669158	−	0.669158i
$122$	1.52002	−	6.16352i	0.137616	−	0.558019i
$123$	4.70196	+	12.6833i	0.423962	+	1.14361i
$124$	10.9890	−	3.42120i	0.986845	−	0.307233i
$125$	1.54156	+	3.72167i	0.137882	+	0.332876i
$126$	7.86545	−	9.15351i	0.700710	−	0.815460i
$127$		−	5.12307i		−	0.454599i	−0.973825	−	0.227299i	$-0.927010\pi$
$127$		−	5.12307i		−	0.454599i	0.973825	−	0.227299i	$-0.0729896\pi$
$128$	10.9009	−	3.02822i	0.963514	−	0.267659i
$129$	1.34937	−	1.25131i	0.118805	−	0.110172i
$130$	−2.54115	−	1.87032i	−0.222873	−	0.164038i
$131$	−13.0406	+	5.40161i	−1.13937	+	0.471941i	−0.870955	−	0.491363i	$-0.836499\pi$
$131$	−13.0406	+	5.40161i	−1.13937	+	0.471941i	−0.268412	+	0.963304i	$0.586499\pi$
$132$	1.32542	−	2.30811i	0.115363	−	0.200895i
$133$	0.761739	−	1.83900i	0.0660512	−	0.159462i
$134$	−9.51480	−	2.34649i	−0.821954	−	0.202706i
$135$	−0.240166	+	2.11531i	−0.0206702	+	0.182057i
$136$	−16.9431	−	5.85407i	−1.45286	−	0.501982i
$137$	−5.19191	−	5.19191i	−0.443575	−	0.443575i	0.449637	−	0.893211i	$-0.351553\pi$
$137$	−5.19191	−	5.19191i	−0.443575	−	0.443575i	−0.893211	+	0.449637i	$0.851553\pi$
$138$	1.54610	−	5.38737i	0.131612	−	0.458603i
$139$	2.91660	−	7.04129i	0.247383	−	0.597234i	−0.750598	−	0.660759i	$-0.770234\pi$
$139$	2.91660	−	7.04129i	0.247383	−	0.597234i	0.997980	+	0.0635252i	$0.0202343\pi$
$140$	1.49182	+	1.79099i	0.126082	+	0.151366i
$141$	7.57520	−	16.5006i	0.637947	−	1.38960i
$142$	3.89550	−	0.592368i	0.326903	−	0.0497104i
$143$		−	4.18403i		−	0.349886i
$144$	−11.6055	−	3.05169i	−0.967123	−	0.254308i
$145$			2.19018i			0.181884i
$146$	−2.85313	−	18.7626i	−0.236127	−	1.55280i
$147$	−0.788970	+	1.71857i	−0.0650732	+	0.141745i
$148$	13.0238	+	1.18689i	1.07055	+	0.0975620i
$149$	7.55828	−	18.2473i	0.619199	−	1.49488i	−0.233437	−	0.972372i	$-0.574997\pi$
$149$	7.55828	−	18.2473i	0.619199	−	1.49488i	0.852636	−	0.522506i	$-0.175003\pi$
$150$	11.3770	+	3.26505i	0.928931	+	0.266590i
$151$	−8.19627	−	8.19627i	−0.667003	−	0.667003i	0.290018	−	0.957021i	$-0.406339\pi$
$151$	−8.19627	−	8.19627i	−0.667003	−	0.667003i	−0.957021	+	0.290018i	$0.906339\pi$
$152$	−1.97564	+	0.118734i	−0.160245	+	0.00963061i
$153$	12.3940	+	14.4186i	1.00199	+	1.16568i
$154$	−0.740097	+	3.00102i	−0.0596387	+	0.241829i
$155$	0.902261	−	2.17825i	0.0724713	−	0.174961i
$156$	−18.2098	+	4.92487i	−1.45795	+	0.394305i
$157$	−1.42476	+	0.590154i	−0.113708	+	0.0470994i	−0.438812	−	0.898579i	$-0.644601\pi$
$157$	−1.42476	+	0.590154i	−0.113708	+	0.0470994i	0.325104	+	0.945678i	$0.394601\pi$
$158$	−7.34141	+	9.97456i	−0.584051	+	0.793533i
$159$	2.23869	−	2.07602i	0.177540	−	0.164639i
$160$	0.952563	−	2.11285i	0.0753067	−	0.167036i
$161$			6.50892i			0.512975i
$162$	9.00154	+	8.99846i	0.707228	+	0.706985i
$163$	0.927085	+	2.23818i	0.0726149	+	0.175308i	0.956019	−	0.293303i	$-0.0947546\pi$
$163$	0.927085	+	2.23818i	0.0726149	+	0.175308i	−0.883405	+	0.468611i	$0.844755\pi$
$164$	−7.26226	+	13.8284i	−0.567087	+	1.07982i
$165$	−0.189527	−	0.511239i	−0.0147547	−	0.0397999i
$166$	23.6914	+	5.84267i	1.83881	+	0.453479i
$167$	−13.4441	−	13.4441i	−1.04033	−	1.04033i	−0.999152	−	0.0411813i	$-0.986888\pi$
$167$	−13.4441	−	13.4441i	−1.04033	−	1.04033i	−0.0411813	−	0.999152i	$-0.513112\pi$
$168$	13.9322	−	0.311334i	1.07489	−	0.0240200i
$169$	−11.7763	+	11.7763i	−0.905866	+	0.905866i
$170$	−3.14284	+	1.89936i	−0.241045	+	0.145674i
$171$	1.87347	+	0.947107i	0.143268	+	0.0724271i
$172$	2.11619	+	0.192854i	0.161358	+	0.0147050i
$173$	−5.11484	+	2.11864i	−0.388874	+	0.161077i	−0.568550	−	0.822649i	$-0.692495\pi$
$173$	−5.11484	+	2.11864i	−0.388874	+	0.161077i	0.179675	+	0.983726i	$0.442495\pi$
$174$	10.2459	+	8.15364i	0.776737	+	0.618126i
$175$	−13.7455			−1.03906
$176$	3.00523	−	0.643483i	0.226528	−	0.0485043i
$177$	−11.1204	+	10.3124i	−0.835863	+	0.775125i
$178$	1.83872	+	12.0917i	0.137818	+	0.906311i
$179$	−2.02160	−	4.88057i	−0.151101	−	0.364791i	0.830145	−	0.557547i	$-0.188257\pi$
$179$	−2.02160	−	4.88057i	−0.151101	−	0.364791i	−0.981247	+	0.192756i	$0.938257\pi$
$180$	−2.00193	+	1.42662i	−0.149215	+	0.106334i
$181$	8.06344	+	3.33999i	0.599351	+	0.248259i	0.661668	−	0.749797i	$-0.269849\pi$
$181$	8.06344	+	3.33999i	0.599351	+	0.248259i	−0.0623171	+	0.998056i	$0.519849\pi$
$182$	18.7489	−	11.3308i	1.38976	−	0.839896i
$183$	−7.76939	−	0.292922i	−0.574330	−	0.0216535i
$184$	5.81991	−	2.83093i	0.429049	−	0.208699i
$185$	1.89436	−	1.89436i	0.139276	−	0.139276i
$186$	−6.83111	−	12.3301i	−0.500881	−	0.904087i
$187$	−4.49888	−	1.86350i	−0.328991	−	0.136272i
$188$	20.0175	−	6.23203i	1.45993	−	0.454518i
$189$	−12.9306	−	7.16089i	−0.940561	−	0.520878i
$190$	−0.240335	+	0.326536i	−0.0174357	+	0.0236894i
$191$	−10.8066			−0.781940			−0.390970	−	0.920404i	$-0.627860\pi$
$191$	−10.8066			−0.781940			−0.390970	+	0.920404i	$0.627860\pi$
$192$	−6.33791	−	12.3220i	−0.457400	−	0.889261i
$193$	−5.82359			−0.419192			−0.209596	−	0.977788i	$-0.567215\pi$
$193$	−5.82359			−0.419192			−0.209596	+	0.977788i	$0.567215\pi$
$194$	−4.26857	+	5.79959i	−0.306466	+	0.416386i
$195$	−1.61228	+	3.51195i	−0.115458	+	0.251496i
$196$	−2.08486	+	0.649077i	−0.148919	+	0.0463627i
$197$	19.4552	+	8.05861i	1.38613	+	0.574152i	0.946112	−	0.323839i	$-0.104974\pi$
$197$	19.4552	+	8.05861i	1.38613	+	0.574152i	0.440014	+	0.897991i	$0.354974\pi$
$198$	−3.09720	−	1.01662i	−0.220108	−	0.0722483i
$199$	1.63519	−	1.63519i	0.115916	−	0.115916i	−0.646770	−	0.762685i	$-0.723880\pi$
$199$	1.63519	−	1.63519i	0.115916	−	0.115916i	0.762685	+	0.646770i	$0.223880\pi$
$200$	5.97836	+	12.2905i	0.422734	+	0.869068i
$201$	−0.452193	+	11.9938i	−0.0318952	+	0.845979i
$202$	−3.06111	+	1.84996i	−0.215379	+	0.130163i
$203$	−14.0489	−	5.81925i	−0.986040	−	0.408431i
$204$	−2.81486	+	21.7735i	−0.197079	+	1.52445i
$205$	1.22447	+	2.95612i	0.0855205	+	0.206465i
$206$	1.85038	+	12.1683i	0.128922	+	0.847808i
$207$	−6.84500	−	0.516877i	−0.475760	−	0.0359254i
$208$	−18.2859	−	11.8361i	−1.26790	−	0.820687i
$209$	−0.537647			−0.0371898
$210$	1.77763	−	2.23377i	0.122668	−	0.154145i
$211$	13.4379	−	5.56618i	0.925106	−	0.383192i	0.131286	−	0.991344i	$-0.458089\pi$
$211$	13.4379	−	5.56618i	0.925106	−	0.383192i	0.793820	+	0.608153i	$0.208089\pi$
$212$	3.51090	+	0.319958i	0.241130	+	0.0219748i
$213$	−1.67748	−	4.52491i	−0.114939	−	0.310041i
$214$	1.56245	−	0.944259i	0.106807	−	0.0645482i
$215$	0.307807	−	0.307807i	0.0209923	−	0.0209923i
$216$	−0.778953	+	14.6763i	−0.0530010	+	0.998594i
$217$	11.5751	+	11.5751i	0.785771	+	0.785771i
$218$	−3.35059	−	0.826306i	−0.226930	−	0.0559645i
$219$	−21.7941	+	8.07956i	−1.47271	+	0.545966i
$220$	0.292728	−	0.557396i	0.0197357	−	0.0375797i
$221$	13.2075	+	31.8856i	0.888430	+	2.14486i
$222$	−1.80963	−	15.9143i	−0.121455	−	1.06810i
$223$		−	0.106627i		−	0.00714024i	−0.999994	−	0.00357012i	$-0.998864\pi$
$223$		−	0.106627i		−	0.00714024i	0.999994	−	0.00357012i	$-0.00113641\pi$
$224$	11.0220	+	11.7240i	0.736437	+	0.783345i
$225$	1.09154	−	14.4553i	0.0727694	−	0.963684i
$226$	5.88761	−	7.99933i	0.391638	−	0.532107i
$227$	21.0312	−	8.71141i	1.39589	−	0.578196i	0.447208	−	0.894430i	$-0.352418\pi$
$227$	21.0312	−	8.71141i	1.39589	−	0.578196i	0.948681	+	0.316233i	$0.102418\pi$
$228$	0.632844	+	2.33995i	0.0419111	+	0.154967i
$229$	−1.56199	+	3.77098i	−0.103219	+	0.249193i	−0.967049	−	0.254591i	$-0.918059\pi$
$229$	−1.56199	+	3.77098i	−0.103219	+	0.249193i	0.863830	+	0.503784i	$0.168059\pi$
$230$	0.317450	−	1.28723i	0.0209320	−	0.0848772i
$231$	3.78291	+	0.142624i	0.248898	+	0.00938397i
$232$	0.907060	+	15.0927i	0.0595514	+	0.990885i
$233$	−4.47635	−	4.47635i	−0.293255	−	0.293255i	0.545110	−	0.838365i	$-0.316488\pi$
$233$	−4.47635	−	4.47635i	−0.293255	−	0.293255i	−0.838365	+	0.545110i	$0.816488\pi$
$234$	10.4270	+	20.6168i	0.681634	+	1.34776i
$235$	1.64355	−	3.96788i	0.107213	−	0.258836i
$236$	−17.4400	−	1.58935i	−1.13525	−	0.103458i
$237$	13.7852	+	6.32857i	0.895444	+	0.411085i
$238$	−3.83300	−	25.2063i	−0.248456	−	1.63388i
$239$		−	8.68031i		−	0.561483i	−0.959783	−	0.280741i	$-0.909420\pi$
$239$		−	8.68031i		−	0.561483i	0.959783	−	0.280741i	$-0.0905803\pi$
$240$	−2.77046	−	0.617923i	−0.178833	−	0.0398867i
$241$		−	4.55656i		−	0.293514i	−0.989173	−	0.146757i	$-0.953117\pi$
$241$		−	4.55656i		−	0.293514i	0.989173	−	0.146757i	$-0.0468835\pi$
$242$	−14.5542	+	2.21318i	−0.935577	+	0.142268i
$243$	8.55745	−	13.0296i	0.548961	−	0.835848i
$244$	−5.74585	−	6.89813i	−0.367840	−	0.441607i
$245$	−0.171179	+	0.413262i	−0.0109362	+	0.0264023i
$246$	18.3875	+	5.27695i	1.17235	+	0.336446i
$247$	2.69446	+	2.69446i	0.171445	+	0.171445i
$248$	5.31544	−	15.3842i	0.337531	−	0.976898i
$249$	1.12594	−	29.8641i	0.0713536	−	1.89256i
$250$	5.53116	+	1.36407i	0.349821	+	0.0862712i
$251$	−0.750992	+	1.81305i	−0.0474022	+	0.114439i	−0.945807	−	0.324729i	$-0.894727\pi$
$251$	−0.750992	+	1.81305i	−0.0474022	+	0.114439i	0.898405	+	0.439168i	$0.144727\pi$
$252$	−3.83200	−	16.6319i	−0.241393	−	1.04771i
$253$	1.62426	−	0.672789i	0.102116	−	0.0422979i
$254$	−5.83503	−	4.29466i	−0.366122	−	0.269471i
$255$	3.05814	+	3.29777i	0.191508	+	0.206515i
$256$	5.68916	−	14.9544i	0.355573	−	0.934649i
$257$			13.4127i			0.836663i	0.908294	+	0.418332i	$0.137385\pi$
$257$			13.4127i			0.836663i	−0.908294	+	0.418332i	$0.862615\pi$
$258$	−0.294040	−	2.58586i	−0.0183062	−	0.160989i
$259$	7.11811	+	17.1846i	0.442298	+	1.06780i
$260$	−4.26048	+	1.32641i	−0.264223	+	0.0822603i
$261$	7.23535	−	14.3122i	0.447857	−	0.885903i
$262$	−4.77967	+	19.3811i	−0.295289	+	1.19737i
$263$	18.7027	+	18.7027i	1.15326	+	1.15326i	0.985896	+	0.167359i	$0.0535240\pi$
$263$	18.7027	+	18.7027i	1.15326	+	1.15326i	0.167359	+	0.985896i	$0.446476\pi$
$264$	−1.51778	−	3.44450i	−0.0934129	−	0.211994i
$265$	0.510674	−	0.510674i	0.0313705	−	0.0313705i
$266$	−1.45601	−	2.40923i	−0.0892734	−	0.147719i
$267$	14.0454	−	5.20693i	0.859564	−	0.318659i
$268$	−10.6488	+	8.87003i	−0.650481	+	0.541823i
$269$	−6.20132	+	2.56867i	−0.378101	+	0.156615i	−0.563636	−	0.826023i	$-0.690598\pi$
$269$	−6.20132	+	2.56867i	−0.378101	+	0.156615i	0.185535	+	0.982638i	$0.440598\pi$
$270$	2.20795	+	2.04681i	0.134372	+	0.124565i
$271$	26.4006			1.60372			0.801860	−	0.597512i	$-0.203844\pi$
$271$	26.4006			1.60372			0.801860	+	0.597512i	$0.203844\pi$
$272$	−20.8710	+	14.3903i	−1.26549	+	0.872538i
$273$	−18.2436	−	19.6732i	−1.10416	−	1.19068i
$274$	−10.2658	+	1.56107i	−0.620180	+	0.0943075i
$275$	1.42079	+	3.43010i	0.0856772	+	0.206843i
$276$	−4.83996	−	6.27718i	−0.291332	−	0.377842i
$277$	−11.8110	−	4.89227i	−0.709654	−	0.293948i	−0.00149230	−	0.999999i	$-0.500475\pi$
$277$	−11.8110	−	4.89227i	−0.709654	−	0.293948i	−0.708161	+	0.706051i	$0.750475\pi$
$278$	−5.57485	−	9.22462i	−0.334357	−	0.553256i
$279$	−13.0920	+	11.2536i	−0.783796	+	0.673736i
$280$	3.29047	−	0.197755i	0.196643	−	0.0118181i
$281$	−10.9033	+	10.9033i	−0.650433	+	0.650433i	−0.953097	−	0.302664i	$-0.902124\pi$
$281$	−10.9033	+	10.9033i	−0.650433	+	0.650433i	0.302664	+	0.953097i	$0.402124\pi$
$282$	−12.4435	−	22.4604i	−0.740999	−	1.33750i
$283$	−8.86260	−	3.67101i	−0.526827	−	0.218219i	0.103386	−	0.994641i	$-0.467032\pi$
$283$	−8.86260	−	3.67101i	−0.526827	−	0.218219i	−0.630213	+	0.776423i	$0.717032\pi$
$284$	2.59090	−	4.93344i	0.153742	−	0.292746i
$285$	0.451284	+	0.207178i	0.0267318	+	0.0122722i
$286$	−4.76549	−	3.50747i	−0.281789	−	0.207401i
$287$	−22.2155			−1.31134
$288$	−13.2046	+	10.6601i	−0.778091	+	0.628151i
$289$	23.1674			1.36279
$290$	2.49455	+	1.83602i	0.146485	+	0.107815i
$291$	8.01523	+	3.67967i	0.469861	+	0.215706i
$292$	−23.7618	−	12.4790i	−1.39056	−	0.730279i
$293$	−20.0666	−	8.31184i	−1.17230	−	0.485583i	−0.290348	−	0.956921i	$-0.593771\pi$
$293$	−20.0666	−	8.31184i	−1.17230	−	0.485583i	−0.881952	+	0.471338i	$0.843771\pi$
$294$	1.29601	+	2.33929i	0.0755849	+	0.136430i
$295$	−2.53671	+	2.53671i	−0.147693	+	0.147693i
$296$	12.2696	−	13.8387i	0.713159	−	0.804360i
$297$	−0.450392	+	3.96691i	−0.0261344	+	0.230184i
$298$	−14.4471	−	23.9054i	−0.836896	−	1.38480i
$299$	−11.5118	−	4.76836i	−0.665747	−	0.275761i
$300$	13.2561	−	10.2210i	0.765344	−	0.590112i
$301$	1.15660	+	2.79227i	0.0666650	+	0.160944i
$302$	−16.2062	+	2.46440i	−0.932564	+	0.141810i
$303$	2.97861	+	3.21201i	0.171117	+	0.184525i
$304$	−1.52094	+	2.34973i	−0.0872317	+	0.134766i
$305$	−1.83911			−0.105307
$306$	26.8122	−	2.02926i	1.53275	−	0.116005i
$307$	0.548682	−	0.227272i	0.0313149	−	0.0129711i	−0.366971	−	0.930232i	$-0.619605\pi$
$307$	0.548682	−	0.227272i	0.0313149	−	0.0129711i	0.398286	+	0.917261i	$0.369605\pi$
$308$	2.79765	+	3.35870i	0.159411	+	0.191380i
$309$	14.1344	−	5.23994i	0.804079	−	0.298090i
$310$	−1.72460	−	2.85367i	−0.0979508	−	0.162078i
$311$	8.31914	−	8.31914i	0.471735	−	0.471735i	−0.430741	−	0.902476i	$-0.641748\pi$
$311$	8.31914	−	8.31914i	0.471735	−	0.471735i	0.902476	+	0.430741i	$0.141748\pi$
$312$	−9.65593	+	24.8689i	−0.546659	+	1.40792i
$313$	5.90243	+	5.90243i	0.333625	+	0.333625i	0.853961	−	0.520336i	$-0.174193\pi$
$313$	5.90243	+	5.90243i	0.333625	+	0.333625i	−0.520336	+	0.853961i	$0.674193\pi$
$314$	−0.522203	+	2.11748i	−0.0294696	+	0.119496i
$315$	−3.12031	−	1.57743i	−0.175809	−	0.0888782i
$316$	5.20645	+	16.7233i	0.292885	+	0.940760i
$317$	0.432895	+	1.04510i	0.0243138	+	0.0586987i	0.935570	−	0.353141i	$-0.114886\pi$
$317$	0.432895	+	1.04510i	0.0243138	+	0.0586987i	−0.911256	+	0.411840i	$0.864886\pi$
$318$	−0.487834	−	4.29013i	−0.0273564	−	0.240579i
$319$			4.10731i			0.229965i
$320$	−1.60795	−	2.85614i	−0.0898870	−	0.159663i
$321$	−1.52034	−	1.63948i	−0.0848573	−	0.0915066i
$322$	7.41347	+	5.45642i	0.413137	+	0.304074i
$323$	4.09729	−	1.69715i	0.227979	−	0.0944321i
$324$	17.7950	−	2.70911i	0.988609	−	0.150506i
$325$	10.0698	−	24.3107i	0.558573	−	1.34852i
$326$	3.32640	+	0.820340i	0.184232	+	0.0454344i
$327$	−0.159237	+	4.22356i	−0.00880584	+	0.233564i
$328$	9.66219	+	19.8638i	0.533505	+	1.09680i
$329$	21.0851	+	21.0851i	1.16246	+	1.16246i
$330$	−0.741167	−	0.212704i	−0.0407999	−	0.0117090i
$331$	−6.16978	+	14.8952i	−0.339122	+	0.818713i	0.658679	+	0.752424i	$0.271116\pi$
$331$	−6.16978	+	14.8952i	−0.339122	+	0.818713i	−0.997801	+	0.0662882i	$0.978884\pi$
$332$	26.5151	−	22.0860i	1.45521	−	1.21213i
$333$	−18.6372	+	6.12100i	−1.02131	+	0.335429i
$334$	−26.5825	+	4.04227i	−1.45453	+	0.221183i
$335$			2.83909i			0.155116i
$336$	11.3247	−	16.1294i	0.617815	−	0.879928i
$337$		−	17.2474i		−	0.939527i	−0.882792	−	0.469763i	$-0.844339\pi$
$337$		−	17.2474i		−	0.939527i	0.882792	−	0.469763i	$-0.155661\pi$
$338$	3.54080	+	23.2848i	0.192594	+	1.26653i
$339$	−11.0553	−	5.07535i	−0.600444	−	0.275655i
$340$	−0.471324	+	5.17184i	−0.0255611	+	0.280482i
$341$	1.69204	−	4.08494i	0.0916291	−	0.221212i
$342$	2.64925	−	1.33987i	0.143255	−	0.0724517i
$343$	11.8840	+	11.8840i	0.641677	+	0.641677i
$344$	1.99365	−	2.24861i	0.107490	−	0.121237i
$345$	−1.62261	−	0.0611757i	−0.0873581	−	0.00329359i
$346$	−1.87470	+	7.60171i	−0.100784	+	0.408670i
$347$	3.34246	−	8.06942i	0.179433	−	0.433189i	−0.808415	−	0.588613i	$-0.799674\pi$
$347$	3.34246	−	8.06942i	0.179433	−	0.433189i	0.987848	+	0.155424i	$0.0496743\pi$
$348$	17.8758	−	4.83456i	0.958246	−	0.259160i
$349$	−22.7745	+	9.43351i	−1.21909	+	0.504964i	−0.897121	−	0.441785i	$-0.854345\pi$
$349$	−22.7745	+	9.43351i	−1.21909	+	0.504964i	−0.321971	+	0.946750i	$0.604345\pi$
$350$	−11.5229	+	15.6558i	−0.615923	+	0.836836i
$351$	22.1377	−	17.6234i	1.18162	−	0.940666i
$352$	1.78637	−	3.96230i	0.0952140	−	0.211192i
$353$		−	7.05617i		−	0.375562i	−0.982211	−	0.187781i	$-0.939870\pi$
$353$		−	7.05617i		−	0.375562i	0.982211	−	0.187781i	$-0.0601295\pi$
$354$	2.42326	+	21.3107i	0.128795	+	1.13265i
$355$	−0.436843	−	1.05463i	−0.0231852	−	0.0559741i
$356$	15.3135	+	8.04220i	0.811614	+	0.426236i
$357$	−29.2790	+	10.8544i	−1.54961	+	0.574474i
$358$	−7.25353	−	1.78883i	−0.383361	−	0.0945426i
$359$	17.9832	+	17.9832i	0.949116	+	0.949116i	0.998767	−	0.0496509i	$-0.0158109\pi$
$359$	17.9832	+	17.9832i	0.949116	+	0.949116i	−0.0496509	+	0.998767i	$0.515811\pi$
$360$	−0.0533327	+	3.47607i	−0.00281088	+	0.183205i
$361$	−13.0888	+	13.0888i	−0.688884	+	0.688884i
$362$	10.5637	−	6.38412i	0.555216	−	0.335542i
$363$	6.26732	+	16.9057i	0.328949	+	0.887320i
$364$	2.81173	−	30.8531i	0.147375	−	1.61714i
$365$	−5.07962	+	2.10405i	−0.265879	+	0.110131i
$366$	−6.84669	+	8.60355i	−0.357882	+	0.449715i
$367$	9.28729			0.484792			0.242396	−	0.970177i	$-0.422067\pi$
$367$	9.28729			0.484792			0.242396	+	0.970177i	$0.422067\pi$
$368$	1.65447	−	9.00187i	0.0862453	−	0.469255i
$369$	1.76414	−	23.3625i	0.0918376	−	1.21621i
$370$	−0.569582	−	3.74565i	−0.0296112	−	0.194727i
$371$	1.91887	+	4.63257i	0.0996230	+	0.240511i
$372$	−19.7701	−	2.55587i	−1.02503	−	0.132516i
$373$	31.7209	+	13.1392i	1.64244	+	0.680323i	0.996541	−	0.0830975i	$-0.0264813\pi$
$373$	31.7209	+	13.1392i	1.64244	+	0.680323i	0.645902	+	0.763420i	$0.276481\pi$
$374$	−5.89387	+	3.56193i	−0.304765	+	0.184183i
$375$	0.262869	−	6.97227i	0.0135745	−	0.360046i
$376$	9.68256	−	28.0237i	0.499340	−	1.44521i
$377$	20.5841	−	20.5841i	1.06014	−	1.06014i
$378$	−18.9957	+	8.72460i	−0.977035	+	0.448745i
$379$	−28.0588	−	11.6223i	−1.44128	−	0.596999i	−0.481174	−	0.876625i	$-0.659789\pi$
$379$	−28.0588	−	11.6223i	−1.44128	−	0.596999i	−0.960109	+	0.279626i	$0.909789\pi$
$380$	0.170443	+	0.547470i	0.00874354	+	0.0280846i
$381$	−3.70216	+	8.06421i	−0.189667	+	0.413142i
$382$	−9.05917	+	12.3084i	−0.463508	+	0.629754i
$383$	−5.32676			−0.272185			−0.136092	−	0.990696i	$-0.543454\pi$
$383$	−5.32676			−0.272185			−0.136092	+	0.990696i	$0.543454\pi$
$384$	−19.3474	−	3.11078i	−0.987319	−	0.158746i
$385$	0.895464			0.0456371
$386$	−4.88191	+	6.63291i	−0.248483	+	0.337606i
$387$	−3.02829	+	0.994579i	−0.153937	+	0.0505573i
$388$	3.02722	+	9.72357i	0.153684	+	0.493639i
$389$	−20.0435	−	8.30227i	−1.01624	−	0.420942i	−0.188515	−	0.982070i	$-0.560367\pi$
$389$	−20.0435	−	8.30227i	−1.01624	−	0.420942i	−0.827729	+	0.561128i	$0.810367\pi$
$390$	2.64844	+	4.78041i	0.134109	+	0.242065i
$391$	−10.2544	+	10.2544i	−0.518585	+	0.518585i
$392$	−1.00846	+	2.91872i	−0.0509347	+	0.147418i
$393$	24.4307	+	0.921090i	1.23237	+	0.0464628i
$394$	25.4878	−	15.4034i	1.28406	−	0.776012i
$395$	3.31490	+	1.37308i	0.166791	+	0.0690869i
$396$	−3.75428	+	2.67539i	−0.188660	+	0.134443i
$397$	−2.65193	−	6.40233i	−0.133097	−	0.321323i	0.843255	−	0.537514i	$-0.180637\pi$
$397$	−2.65193	−	6.40233i	−0.133097	−	0.321323i	−0.976351	+	0.216191i	$0.930637\pi$
$398$	−0.491659	−	3.23322i	−0.0246446	−	0.162067i
$399$	−2.52800	+	2.34430i	−0.126558	+	0.117362i
$400$	19.0101	+	3.49391i	0.950507	+	0.174696i
$401$	5.61080			0.280190			0.140095	−	0.990138i	$-0.455259\pi$
$401$	5.61080			0.280190			0.140095	+	0.990138i	$0.455259\pi$
$402$	13.2816	+	10.5694i	0.662424	+	0.527156i
$403$	−28.9519	+	11.9923i	−1.44220	+	0.597377i
$404$	−0.459067	+	5.03734i	−0.0228394	+	0.250617i
$405$	1.90666	−	3.15615i	0.0947429	−	0.156831i
$406$	−18.4051	+	11.1230i	−0.913431	+	0.552027i
$407$	3.55255	−	3.55255i	0.176093	−	0.176093i
$408$	22.4397	+	21.4587i	1.11093	+	1.06237i
$409$	−0.683364	−	0.683364i	−0.0337902	−	0.0337902i	0.690010	−	0.723800i	$-0.257606\pi$
$409$	−0.683364	−	0.683364i	−0.0337902	−	0.0337902i	−0.723800	+	0.690010i	$0.757606\pi$
$410$	4.39341	+	1.08348i	0.216975	+	0.0535093i
$411$	4.42067	+	11.9245i	0.218055	+	0.588191i
$412$	15.4106	+	8.09317i	0.759224	+	0.398722i
$413$	−9.53177	−	23.0117i	−0.469028	−	1.13233i
$414$	−6.32686	+	7.36296i	−0.310948	+	0.361870i
$415$		−	7.06921i		−	0.347014i
$416$	−28.8100	+	10.9049i	−1.41253	+	0.534655i
$417$	−9.67936	+	8.97601i	−0.474000	+	0.439557i
$418$	−0.450708	+	0.612364i	−0.0220449	+	0.0299517i
$419$	16.8772	−	6.99075i	0.824503	−	0.341521i	0.0697790	−	0.997562i	$-0.477771\pi$
$419$	16.8772	−	6.99075i	0.824503	−	0.341521i	0.754724	+	0.656042i	$0.227771\pi$
$420$	−1.05402	−	3.89724i	−0.0514308	−	0.190166i
$421$	−7.36473	+	17.7800i	−0.358935	+	0.866546i	0.636515	+	0.771264i	$0.280375\pi$
$421$	−7.36473	+	17.7800i	−0.358935	+	0.866546i	−0.995450	+	0.0952818i	$0.969625\pi$
$422$	4.92529	−	19.9716i	0.239759	−	0.972200i
$423$	−23.8482	+	20.4994i	−1.15954	+	0.996717i
$424$	3.30761	−	3.73060i	0.160632	−	0.181174i
$425$	−21.6552	−	21.6552i	−1.05043	−	1.05043i
$426$	−6.55997	−	1.88262i	−0.317831	−	0.0912131i
$427$	4.88648	−	11.7970i	0.236473	−	0.570897i
$428$	0.234317	−	2.57116i	0.0113261	−	0.124282i
$429$	−3.02357	+	6.58608i	−0.145979	+	0.317979i
$430$	−0.0925493	−	0.608618i	−0.00446312	−	0.0293502i
$431$		−	18.7398i		−	0.902664i	−0.892356	−	0.451332i	$-0.850949\pi$
$431$		−	18.7398i		−	0.902664i	0.892356	−	0.451332i	$-0.149051\pi$
$432$	16.0629	+	13.1903i	0.772825	+	0.634619i
$433$			2.88137i			0.138470i	0.997600	+	0.0692349i	$0.0220558\pi$
$433$			2.88137i			0.138470i	−0.997600	+	0.0692349i	$0.977944\pi$
$434$	22.8871	−	3.48033i	1.09862	−	0.167061i
$435$	1.58272	−	3.44755i	0.0758856	−	0.165297i
$436$	−3.74993	+	3.12353i	−0.179589	+	0.149590i
$437$	−0.612733	+	1.47927i	−0.0293110	+	0.0707630i
$438$	−9.06759	+	31.5960i	−0.433266	+	1.50971i
$439$	6.54440	+	6.54440i	0.312347	+	0.312347i	0.845818	−	0.533471i	$-0.179113\pi$
$439$	6.54440	+	6.54440i	0.312347	+	0.312347i	−0.533471	+	0.845818i	$0.679113\pi$
$440$	−0.389465	−	0.800674i	−0.0185670	−	0.0381706i
$441$	2.48383	−	2.13505i	0.118278	−	0.101669i
$442$	47.3886	+	11.6867i	2.25405	+	0.555882i
$443$	−5.97491	+	14.4247i	−0.283877	+	0.685339i	−0.999919	−	0.0127177i	$-0.995952\pi$
$443$	−5.97491	+	14.4247i	−0.283877	+	0.685339i	0.716042	+	0.698057i	$0.245952\pi$
$444$	−19.6430	−	11.2799i	−0.932215	−	0.535318i
$445$	3.27360	−	1.35597i	0.155184	−	0.0642791i
$446$	−0.121445	−	0.0893848i	−0.00575057	−	0.00423250i
$447$	−25.0838	+	23.2611i	−1.18642	+	1.10021i
$448$	22.5930	−	2.72549i	1.06742	−	0.128767i
$449$			2.52116i			0.118981i	0.998229	+	0.0594905i	$0.0189476\pi$
$449$			2.52116i			0.118981i	−0.998229	+	0.0594905i	$0.981052\pi$
$450$	−15.5491	−	13.3611i	−0.732992	−	0.629846i
$451$	2.29628	+	5.54372i	0.108128	+	0.261043i
$452$	−4.17543	−	13.4116i	−0.196396	−	0.630831i
$453$	6.97874	+	18.8247i	0.327890	+	0.884463i
$454$	7.70837	−	31.2567i	0.361772	−	1.46695i
$455$	−4.48770	−	4.48770i	−0.210387	−	0.210387i
$456$	3.19565	+	1.24078i	0.149650	+	0.0581050i
$457$	26.6180	−	26.6180i	1.24514	−	1.24514i	0.287295	−	0.957842i	$-0.407244\pi$
$457$	26.6180	−	26.6180i	1.24514	−	1.24514i	0.957842	−	0.287295i	$-0.0927560\pi$
$458$	2.98562	+	4.94027i	0.139509	+	0.230844i
$459$	−9.08976	−	31.6527i	−0.424274	−	1.47742i
$460$	−1.20000	−	1.44065i	−0.0559502	−	0.0671705i
$461$	−16.9365	+	7.01532i	−0.788810	+	0.326736i	−0.740465	−	0.672095i	$-0.765395\pi$
$461$	−16.9365	+	7.01532i	−0.788810	+	0.326736i	−0.0483450	+	0.998831i	$0.515395\pi$
$462$	3.33366	−	4.18907i	0.155096	−	0.194893i
$463$	22.1078			1.02744			0.513719	−	0.857959i	$-0.328268\pi$
$463$	22.1078			1.02744			0.513719	+	0.857959i	$0.328268\pi$
$464$	17.9505	+	11.6191i	0.833333	+	0.539402i
$465$	−2.99435	+	2.77677i	−0.138860	+	0.128769i
$466$	−8.85094	+	1.34592i	−0.410012	+	0.0623484i
$467$	−11.0935	−	26.7822i	−0.513348	−	1.23933i	−0.941924	−	0.335825i	$-0.890985\pi$
$467$	−11.0935	−	26.7822i	−0.513348	−	1.23933i	0.428577	−	0.903505i	$-0.359015\pi$
$468$	32.2229	+	5.40697i	1.48950	+	0.249937i
$469$	−18.2114	−	7.54340i	−0.840923	−	0.348322i
$470$	−3.14152	−	5.19822i	−0.144907	−	0.239776i
$471$	2.66918	+	0.100634i	0.122989	+	0.00463696i
$472$	−16.4301	+	18.5313i	−0.756258	+	0.852972i
$473$	0.577241	−	0.577241i	0.0265416	−	0.0265416i
$474$	18.7642	−	10.3957i	0.861866	−	0.477490i
$475$	−3.12392	−	1.29397i	−0.143335	−	0.0593714i
$476$	−31.9225	−	16.7648i	−1.46317	−	0.768411i
$477$	−5.02415	+	1.65008i	−0.230040	+	0.0755519i
$478$	−9.88662	−	7.27669i	−0.452204	−	0.332828i
$479$	11.5288			0.526765			0.263382	−	0.964692i	$-0.415162\pi$
$479$	11.5288			0.526765			0.263382	+	0.964692i	$0.415162\pi$
$480$	−3.02627	+	2.63747i	−0.138130	+	0.120384i
$481$	−35.6078			−1.62358
$482$	−5.18979	−	3.81975i	−0.236388	−	0.173985i
$483$	4.70364	−	10.2457i	0.214023	−	0.466194i
$484$	−9.67999	+	18.4321i	−0.439999	+	0.837822i
$485$	1.92741	+	0.798358i	0.0875190	+	0.0362516i
$486$	−7.66662	−	20.6694i	−0.347765	−	0.937582i
$487$	24.3533	−	24.3533i	1.10355	−	1.10355i	0.109575	−	0.993979i	$-0.465051\pi$
$487$	24.3533	−	24.3533i	1.10355	−	1.10355i	0.993979	−	0.109575i	$-0.0349489\pi$
$488$	−12.6735	+	0.761667i	−0.573702	+	0.0344791i
$489$	0.158088	−	4.19307i	0.00714897	−	0.189617i
$490$	0.327194	+	0.541404i	0.0147811	+	0.0244581i
$491$	−13.2408	−	5.48453i	−0.597550	−	0.247513i	0.0633450	−	0.997992i	$-0.479823\pi$
$491$	−13.2408	−	5.48453i	−0.597550	−	0.247513i	−0.660895	+	0.750478i	$0.729823\pi$
$492$	21.4245	−	16.5192i	0.965892	−	0.744743i
$493$	−12.9653	−	31.3009i	−0.583926	−	1.40972i
$494$	5.32768	−	0.810153i	0.239704	−	0.0364505i
$495$	−0.0711093	+	0.941700i	−0.00319613	+	0.0423263i
$496$	−13.0662	−	18.9507i	−0.586691	−	0.850911i
$497$	7.92564			0.355513
$498$	−33.0705	−	26.3174i	−1.48192	−	1.17931i
$499$	−6.79930	+	2.81636i	−0.304378	+	0.126078i	−0.529645	−	0.848220i	$-0.677675\pi$
$499$	−6.79930	+	2.81636i	−0.304378	+	0.126078i	0.225266	+	0.974297i	$0.427675\pi$
$500$	6.19040	−	5.15634i	0.276843	−	0.230598i
$501$	11.4470	+	30.8776i	0.511414	+	1.37951i
$502$	1.43546	+	2.37524i	0.0640678	+	0.106012i
$503$	−20.7317	+	20.7317i	−0.924383	+	0.924383i	−0.997335	−	0.0729527i	$-0.976758\pi$
$503$	−20.7317	+	20.7317i	−0.924383	+	0.924383i	0.0729527	+	0.997335i	$0.476758\pi$
$504$	−22.1556	−	9.57795i	−0.986889	−	0.426636i
$505$	0.732700	+	0.732700i	0.0326047	+	0.0326047i
$506$	0.595324	−	2.41398i	0.0264654	−	0.107314i
$507$	27.0470	−	10.0269i	1.20120	−	0.445312i
$508$	−9.78299	+	3.04573i	−0.434050	+	0.135132i
$509$	7.27710	+	17.5685i	0.322552	+	0.778708i	0.999104	+	0.0423143i	$0.0134731\pi$
$509$	7.27710	+	17.5685i	0.322552	+	0.778708i	−0.676553	+	0.736394i	$0.736527\pi$
$510$	6.31970	−	0.718618i	0.279841	−	0.0318209i
$511$		−	38.1737i		−	1.68870i
$512$	−12.2634	−	19.0160i	−0.541970	−	0.840398i
$513$	−2.26460	−	2.84469i	−0.0999844	−	0.125596i
$514$	15.2767	+	11.2439i	0.673827	+	0.495946i
$515$	3.29435	−	1.36456i	0.145166	−	0.0601299i
$516$	−3.19172	−	1.83282i	−0.140508	−	0.0806855i
$517$	3.08220	−	7.44109i	0.135555	−	0.327259i
$518$	25.5399	+	6.29853i	1.12216	+	0.276741i
$519$	9.58229	+	0.361273i	0.420616	+	0.0158581i
$520$	−2.06081	+	5.96449i	−0.0903724	+	0.261560i
$521$	12.9964	+	12.9964i	0.569382	+	0.569382i	0.931955	−	0.362573i	$-0.118102\pi$
$521$	12.9964	+	12.9964i	0.569382	+	0.569382i	−0.362573	+	0.931955i	$0.618102\pi$
$522$	−10.2358	−	20.2387i	−0.448009	−	0.885826i
$523$	−13.8611	+	33.4638i	−0.606105	+	1.46327i	0.261097	+	0.965313i	$0.415916\pi$
$523$	−13.8611	+	33.4638i	−0.606105	+	1.46327i	−0.867203	+	0.497955i	$0.834084\pi$
$524$	18.0677	+	21.6910i	0.789292	+	0.947578i
$525$	21.6368	+	9.93314i	0.944308	+	0.433518i
$526$	36.9802	−	5.62339i	1.61241	−	0.245191i
$527$			36.4716i			1.58873i
$528$	−5.19554	−	1.15881i	−0.226107	−	0.0504308i
$529$			17.7643i			0.772361i
$530$	−0.153546	−	1.00974i	−0.00666961	−	0.0438603i
$531$	24.9568	−	8.19656i	1.08303	−	0.355700i
$532$	−3.96461	−	0.361306i	−0.171888	−	0.0156646i
$533$	16.2748	−	39.2909i	0.704940	−	1.70188i
$534$	5.84368	−	20.3623i	0.252881	−	0.881161i
$535$	−0.373985	−	0.373985i	−0.0161688	−	0.0161688i
$536$	1.17581	+	19.5644i	0.0507871	+	0.845055i
$537$	−0.344725	+	9.14339i	−0.0148760	+	0.394566i
$538$	−2.27291	+	9.21644i	−0.0979923	+	0.397349i
$539$	−0.321017	+	0.775003i	−0.0138272	+	0.0333817i
$540$	4.18217	−	0.798958i	0.179972	−	0.0343817i
$541$	0.814609	−	0.337422i	0.0350228	−	0.0145069i	−0.365103	−	0.930967i	$-0.618966\pi$
$541$	0.814609	−	0.337422i	0.0350228	−	0.0145069i	0.400126	+	0.916460i	$0.368966\pi$
$542$	22.1315	−	30.0695i	0.950631	−	1.29159i
$543$	−10.2790	−	11.0845i	−0.441115	−	0.475680i
$544$	−1.10602	+	35.8348i	−0.0474204	+	1.53640i
$545$			0.999771i			0.0428255i
$546$	−37.7008	+	4.28699i	−1.61345	+	0.183466i
$547$	−11.6045	−	28.0158i	−0.496173	−	1.19787i	−0.951529	−	0.307559i	$-0.900488\pi$
$547$	−11.6045	−	28.0158i	−0.496173	−	1.19787i	0.455356	−	0.890310i	$-0.349512\pi$
$548$	−6.82779	+	13.0011i	−0.291669	+	0.555379i
$549$	12.0181	+	6.07560i	0.512920	+	0.259300i
$550$	5.09784	+	1.25720i	0.217373	+	0.0536074i
$551$	−2.64506	−	2.64506i	−0.112683	−	0.112683i
$552$	−11.2069	+	0.250433i	−0.476996	+	0.0106591i
$553$	−17.6152	+	17.6152i	−0.749075	+	0.749075i
$554$	−15.4733	+	9.35120i	−0.657397	+	0.397294i
$555$	−4.35085	+	1.61296i	−0.184683	+	0.0684662i
$556$	−15.1800	−	1.38339i	−0.643774	−	0.0586689i
$557$	9.67547	−	4.00771i	0.409963	−	0.169812i	−0.168164	−	0.985759i	$-0.553784\pi$
$557$	9.67547	−	4.00771i	0.409963	−	0.169812i	0.578127	+	0.815947i	$0.303784\pi$
$558$	1.84255	+	24.3453i	0.0780014	+	1.03062i
$559$	−5.78579			−0.244713
$560$	2.53316	−	3.91353i	0.107046	−	0.165377i
$561$	5.73503	+	6.18442i	0.242133	+	0.261106i
$562$	3.27831	+	21.5587i	0.138287	+	0.909397i
$563$	7.67115	+	18.5198i	0.323300	+	0.780516i	0.999058	+	0.0433923i	$0.0138165\pi$
$563$	7.67115	+	18.5198i	0.323300	+	0.780516i	−0.675758	+	0.737124i	$0.736183\pi$
$564$	−36.0131	−	4.65574i	−1.51642	−	0.196042i
$565$	−2.65846	−	1.10117i	−0.111842	−	0.0463266i
$566$	−11.6107	+	7.01685i	−0.488033	+	0.294940i
$567$	15.1792	+	20.6162i	0.637467	+	0.865797i
$568$	−3.44710	−	7.08666i	−0.144637	−	0.297350i
$569$	−3.36174	+	3.36174i	−0.140932	+	0.140932i	−0.774053	−	0.633121i	$-0.781773\pi$
$569$	−3.36174	+	3.36174i	−0.140932	+	0.140932i	0.633121	+	0.774053i	$0.281773\pi$
$570$	0.614281	−	0.340323i	0.0257294	−	0.0142546i
$571$	14.6718	+	6.07726i	0.613996	+	0.254325i	0.667936	−	0.744219i	$-0.267178\pi$
$571$	14.6718	+	6.07726i	0.613996	+	0.254325i	−0.0539402	+	0.998544i	$0.517178\pi$
$572$	−7.98981	+	2.48746i	−0.334071	+	0.104006i
$573$	17.0107	+	7.80935i	0.710631	+	0.326240i
$574$	−18.6232	+	25.3028i	−0.777317	+	1.05612i
$575$	11.0567			0.461097
$576$	1.07209	+	23.9760i	0.0446705	+	0.999002i
$577$	11.1656			0.464830			0.232415	−	0.972617i	$-0.425337\pi$
$577$	11.1656			0.464830			0.232415	+	0.972617i	$0.425337\pi$
$578$	19.4212	−	26.3870i	0.807815	−	1.09755i
$579$	9.16691	+	4.20839i	0.380964	+	0.174895i
$580$	4.18235	−	1.30209i	0.173663	−	0.0540662i
$581$	45.3455	+	18.7827i	1.88125	+	0.779239i
$582$	10.9102	−	6.04445i	0.452242	−	0.250551i
$583$	0.957684	−	0.957684i	0.0396632	−	0.0396632i
$584$	−34.1328	+	16.6029i	−1.41242	+	0.687033i
$585$	5.07579	−	4.36305i	0.209858	−	0.180390i
$586$	−26.2887	+	15.8874i	−1.08598	+	0.656304i
$587$	31.3098	+	12.9689i	1.29229	+	0.535286i	0.919668	−	0.392696i	$-0.128458\pi$
$587$	31.3098	+	12.9689i	1.29229	+	0.535286i	0.372625	+	0.927982i	$0.378458\pi$
$588$	3.75083	+	0.484904i	0.154682	+	0.0199971i
$589$	1.54100	+	3.72030i	0.0634958	+	0.153292i
$590$	0.762721	+	5.01576i	0.0314007	+	0.206496i
$591$	−24.8009	−	26.7442i	−1.02017	−	1.10011i
$592$	−5.47630	−	25.5758i	−0.225075	−	1.05116i
$593$	−21.0070			−0.862656			−0.431328	−	0.902195i	$-0.641955\pi$
$593$	−21.0070			−0.862656			−0.431328	+	0.902195i	$0.641955\pi$
$594$	4.14064	+	3.83844i	0.169893	+	0.157493i
$595$	−6.82414	+	2.82665i	−0.279763	+	0.115881i
$596$	−39.3385	−	3.58502i	−1.61137	−	0.146848i
$597$	−3.75562	+	1.39229i	−0.153707	+	0.0569827i
$598$	−15.0814	+	9.11435i	−0.616724	+	0.372714i
$599$	−4.73031	+	4.73031i	−0.193275	+	0.193275i	−0.797110	−	0.603835i	$-0.793639\pi$
$599$	−4.73031	+	4.73031i	−0.193275	+	0.193275i	0.603835	+	0.797110i	$0.293639\pi$
$600$	−0.528865	−	23.6666i	−0.0215908	−	0.966187i
$601$	22.8135	+	22.8135i	0.930581	+	0.930581i	0.997742	−	0.0671615i	$-0.0213943\pi$
$601$	22.8135	+	22.8135i	0.930581	+	0.930581i	−0.0671615	+	0.997742i	$0.521394\pi$
$602$	4.14989	+	1.02342i	0.169137	+	0.0417117i
$603$	9.37907	−	18.5527i	0.381945	−	0.755523i
$604$	−10.7788	+	20.5243i	−0.438583	+	0.835124i
$605$	1.63211	+	3.94027i	0.0663548	+	0.160195i
$606$	6.15536	−	0.699930i	0.250044	−	0.0284327i
$607$			20.5708i			0.834943i	0.908690	+	0.417472i	$0.137084\pi$
$607$			20.5708i			0.834943i	−0.908690	+	0.417472i	$0.862916\pi$
$608$	1.40127	+	3.70208i	0.0568291	+	0.150139i
$609$	17.9091	+	19.3124i	0.725714	+	0.782579i
$610$	−1.54173	+	2.09470i	−0.0624226	+	0.0848118i
$611$	−52.7384	+	21.8450i	−2.13357	+	0.883753i
$612$	20.1654	−	32.2395i	0.815137	−	1.30320i
$613$	−1.90289	+	4.59399i	−0.0768571	+	0.185550i	−0.957638	−	0.287974i	$-0.907018\pi$
$613$	−1.90289	+	4.59399i	−0.0768571	+	0.185550i	0.880781	+	0.473524i	$0.157018\pi$
$614$	0.201103	−	0.815455i	0.00811588	−	0.0329091i
$615$	0.208798	−	5.53808i	0.00841953	−	0.223317i
$616$	6.17073	−	0.370856i	0.248626	−	0.0149422i
$617$	−2.85391	−	2.85391i	−0.114894	−	0.114894i	0.647322	−	0.762216i	$-0.275889\pi$
$617$	−2.85391	−	2.85391i	−0.114894	−	0.114894i	−0.762216	+	0.647322i	$0.775889\pi$
$618$	5.88072	−	20.4913i	0.236557	−	0.824282i
$619$	12.0551	−	29.1035i	0.484534	−	1.16977i	−0.472901	−	0.881116i	$-0.656793\pi$
$619$	12.0551	−	29.1035i	0.484534	−	1.16977i	0.957434	−	0.288652i	$-0.0932070\pi$
$620$	−4.69598	−	0.427958i	−0.188595	−	0.0171872i
$621$	10.4012	+	5.76012i	0.417385	+	0.231146i
$622$	−2.50134	−	16.4492i	−0.100295	−	0.659552i
$623$			24.6013i			0.985631i
$624$	20.2304	+	31.8454i	0.809865	+	1.27484i
$625$			22.5103i			0.900411i
$626$	11.6707	−	1.77470i	0.466455	−	0.0709313i
$627$	0.846308	+	0.388528i	0.0337983	+	0.0155163i
$628$	1.97399	+	2.36986i	0.0787708	+	0.0945676i
$629$	−15.8591	+	38.2873i	−0.632345	+	1.52662i
$630$	−4.41240	+	2.23158i	−0.175794	+	0.0889083i
$631$	−27.3014	−	27.3014i	−1.08685	−	1.08685i	−0.995851	−	0.0910003i	$-0.970994\pi$
$631$	−27.3014	−	27.3014i	−1.08685	−	1.08685i	−0.0910003	−	0.995851i	$-0.529006\pi$
$632$	23.4119	+	8.08913i	0.931276	+	0.321768i
$633$	−25.1750	−	0.949152i	−1.00062	−	0.0377254i
$634$	1.55324	+	0.383051i	0.0616868	+	0.0152129i
$635$	−0.803237	+	1.93919i	−0.0318755	+	0.0769543i
$636$	−5.29529	−	3.04078i	−0.209972	−	0.120575i
$637$	5.49280	−	2.27519i	0.217633	−	0.0901464i
$638$	4.67811	+	3.44315i	0.185208	+	0.136316i
$639$	−0.629379	+	8.33487i	−0.0248979	+	0.329722i
$640$	−4.60101	−	0.562893i	−0.181871	−	0.0222503i
$641$		−	34.3968i		−	1.35859i	−0.733865	−	0.679295i	$-0.762286\pi$
$641$		−	34.3968i		−	1.35859i	0.733865	−	0.679295i	$-0.237714\pi$
$642$	−3.14182	+	0.357258i	−0.123998	+	0.0140999i
$643$	−10.4779	−	25.2960i	−0.413210	−	0.997576i	−0.984270	−	0.176669i	$-0.943468\pi$
$643$	−10.4779	−	25.2960i	−0.413210	−	0.997576i	0.571061	−	0.820908i	$-0.306532\pi$
$644$	12.4294	−	3.86963i	0.489787	−	0.152485i
$645$	−0.706954	+	0.262083i	−0.0278363	+	0.0103195i
$646$	1.50174	−	6.08942i	0.0590853	−	0.239585i
$647$	−26.7097	−	26.7097i	−1.05007	−	1.05007i	−0.998679	−	0.0513899i	$-0.983635\pi$
$647$	−26.7097	−	26.7097i	−1.05007	−	1.05007i	−0.0513899	−	0.998679i	$-0.516365\pi$
$648$	11.8319	−	22.5390i	0.464800	−	0.885415i
$649$	−4.75718	+	4.75718i	−0.186735	+	0.186735i
$650$	−19.2477	−	31.8489i	−0.754956	−	1.24922i
$651$	−9.85567	−	26.5851i	−0.386274	−	1.04195i
$652$	3.72286	−	3.10098i	0.145798	−	0.121444i
$653$	40.0093	−	16.5724i	1.56569	−	0.648528i	0.579620	−	0.814887i	$-0.303201\pi$
$653$	40.0093	−	16.5724i	1.56569	−	0.648528i	0.986065	+	0.166358i	$0.0532008\pi$
$654$	4.67703	+	3.72197i	0.182886	+	0.145541i
$655$	5.78306			0.225963
$656$	30.7241	+	5.64685i	1.19958	+	0.220472i
$657$	40.1447	+	3.03139i	1.56620	+	0.118266i
$658$	41.6910	−	6.33973i	1.62528	−	0.247148i
$659$	6.33558	+	15.2955i	0.246799	+	0.595826i	0.997929	−	0.0643286i	$-0.0204906\pi$
$659$	6.33558	+	15.2955i	0.246799	+	0.595826i	−0.751129	+	0.660155i	$0.770491\pi$
$660$	−0.863583	+	0.665858i	−0.0336149	+	0.0259185i
$661$	−13.2351	−	5.48218i	−0.514787	−	0.213232i	0.110138	−	0.993916i	$-0.464871\pi$
$661$	−13.2351	−	5.48218i	−0.514787	−	0.213232i	−0.624926	+	0.780684i	$0.714871\pi$
$662$	11.7931	+	19.5138i	0.458350	+	0.758425i
$663$	2.25215	−	59.7354i	0.0874663	−	2.31993i
$664$	−2.92771	−	48.7146i	−0.113617	−	1.89049i
$665$	−0.576668	+	0.576668i	−0.0223622	+	0.0223622i
$666$	−8.65188	+	26.3585i	−0.335254	+	1.02137i
$667$	11.3007	+	4.68092i	0.437567	+	0.181246i
$668$	−17.6801	+	33.6654i	−0.684063	+	1.30255i
$669$	−0.0770531	+	0.167841i	−0.00297905	+	0.00648909i
$670$	3.23364	+	2.38001i	0.124927	+	0.0919476i
$671$	−3.44895			−0.133145
$672$	−8.87737	−	26.4198i	−0.342452	−	1.01916i
$673$	20.2651			0.781160			0.390580	−	0.920569i	$-0.372274\pi$
$673$	20.2651			0.781160			0.390580	+	0.920569i	$0.372274\pi$
$674$	−19.6443	−	14.4585i	−0.756671	−	0.556920i
$675$	−12.1642	+	21.9652i	−0.468201	+	0.845441i
$676$	29.4890	+	15.4868i	1.13419	+	0.595645i
$677$	−36.6561	−	15.1834i	−1.40881	−	0.583547i	−0.456785	−	0.889577i	$-0.650999\pi$
$677$	−36.6561	−	15.1834i	−1.40881	−	0.583547i	−0.952022	+	0.306030i	$0.900999\pi$
$678$	−15.0484	+	8.33707i	−0.577929	+	0.320183i
$679$	−10.2422	+	10.2422i	−0.393058	+	0.393058i
$680$	5.49546	+	4.87237i	0.210741	+	0.186847i
$681$	−39.4004	−	1.48548i	−1.50983	−	0.0569237i
$682$	−3.23420	−	5.35159i	−0.123844	−	0.204923i
$683$	24.0996	+	9.98236i	0.922144	+	0.381965i	0.792693	−	0.609621i	$-0.208678\pi$
$683$	24.0996	+	9.98236i	0.922144	+	0.381965i	0.129451	+	0.991586i	$0.458678\pi$
$684$	0.694794	−	4.14063i	0.0265661	−	0.158321i
$685$	1.15121	+	2.77927i	0.0439856	+	0.106191i
$686$	23.4979	−	3.57321i	0.897155	−	0.136426i
$687$	5.18381	−	4.80713i	0.197775	−	0.183403i
$688$	−0.889825	−	4.15571i	−0.0339242	−	0.158435i
$689$	−9.59903			−0.365694
$690$	−1.42990	+	1.79682i	−0.0544355	+	0.0684037i
$691$	13.6860	−	5.66894i	0.520641	−	0.215657i	−0.106857	−	0.994274i	$-0.534079\pi$
$691$	13.6860	−	5.66894i	0.520641	−	0.215657i	0.627499	+	0.778618i	$0.284079\pi$
$692$	7.08658	+	8.50773i	0.269391	+	0.323415i
$693$	−5.85161	−	2.95821i	−0.222284	−	0.112373i
$694$	−6.38885	−	10.5715i	−0.242518	−	0.401290i
$695$	−2.20798	+	2.20798i	−0.0837536	+	0.0837536i
$696$	9.47887	−	24.4129i	0.359296	−	0.925368i
$697$	−34.9990	−	34.9990i	−1.32568	−	1.32568i
$698$	−8.34733	+	33.8476i	−0.315951	+	1.28115i
$699$	3.81140	+	10.2810i	0.144160	+	0.388864i
$700$	8.17188	+	26.2484i	0.308868	+	0.992097i
$701$	−15.2498	−	36.8163i	−0.575977	−	1.39053i	−0.896396	−	0.443255i	$-0.853824\pi$
$701$	−15.2498	−	36.8163i	−0.575977	−	1.39053i	0.320419	−	0.947276i	$-0.396176\pi$
$702$	−1.51450	−	39.9879i	−0.0571610	−	1.50925i
$703$			4.57559i			0.172572i
$704$	−3.01544	−	5.35622i	−0.113649	−	0.201870i
$705$	−5.45447	+	5.05813i	−0.205427	+	0.190500i
$706$	−8.03678	−	5.91518i	−0.302468	−	0.222621i
$707$	−6.64668	+	2.75314i	−0.249974	+	0.103543i
$708$	26.3037	+	15.1047i	0.988553	+	0.567670i
$709$	11.6037	−	28.0139i	0.435788	−	1.05209i	−0.541601	−	0.840636i	$-0.682182\pi$
$709$	11.6037	−	28.0139i	0.435788	−	1.05209i	0.977389	−	0.211449i	$-0.0678183\pi$
$710$	−1.56740	−	0.386545i	−0.0588236	−	0.0145068i
$711$	−17.1259	−	19.9236i	−0.642272	−	0.747193i
$712$	21.9971	−	10.6999i	0.824377	−	0.400995i
$713$	−9.31087	−	9.31087i	−0.348695	−	0.348695i
$714$	−12.1817	+	42.4471i	−0.455889	+	1.58854i
$715$	−0.656007	+	1.58374i	−0.0245333	+	0.0592286i
$716$	−8.11805	+	6.76199i	−0.303386	+	0.252707i
$717$	−6.27278	+	13.6637i	−0.234261	+	0.510279i
$718$	35.5576	−	5.40706i	1.32700	−	0.201790i
$719$		−	44.6170i		−	1.66393i	−0.554826	−	0.831967i	$-0.687215\pi$
$719$		−	44.6170i		−	1.66393i	0.554826	−	0.831967i	$-0.312785\pi$
$720$	3.91444	+	2.97473i	0.145883	+	0.110862i
$721$			24.7573i			0.922008i
$722$	3.93545	+	25.8801i	0.146462	+	0.963157i
$723$	−3.29277	+	7.17247i	−0.122460	+	0.266747i
$724$	1.58421	−	17.3836i	0.0588768	−	0.646055i
$725$	−9.88517	+	23.8649i	−0.367126	+	0.886321i
$726$	24.5090	+	7.03374i	0.909615	+	0.261047i
$727$	15.5081	+	15.5081i	0.575162	+	0.575162i	0.933566	−	0.358405i	$-0.116679\pi$
$727$	15.5081	+	15.5081i	0.575162	+	0.575162i	−0.358405	+	0.933566i	$0.616679\pi$
$728$	−32.7837	−	29.0666i	−1.21505	−	1.07728i
$729$	−22.8860	+	14.3258i	−0.847631	+	0.530587i
$730$	−1.86179	+	7.54936i	−0.0689078	+	0.279414i
$731$	−2.57689	+	6.22117i	−0.0953098	+	0.230098i
$732$	4.05963	+	15.0105i	0.150048	+	0.554805i
$733$	43.3401	−	17.9520i	1.60080	−	0.663074i	0.609273	−	0.792961i	$-0.291462\pi$
$733$	43.3401	−	17.9520i	1.60080	−	0.663074i	0.991529	+	0.129887i	$0.0414615\pi$
$734$	7.78552	−	10.5780i	0.287369	−	0.390439i
$735$	0.568093	−	0.526813i	0.0209544	−	0.0194318i
$736$	−8.86594	−	9.43065i	−0.326803	−	0.347618i
$737$			5.32424i			0.196121i
$738$	−25.1304	−	21.5941i	−0.925062	−	0.794889i
$739$	18.0170	+	43.4968i	0.662765	+	1.60006i	0.793452	+	0.608633i	$0.208282\pi$
$739$	18.0170	+	43.4968i	0.662765	+	1.60006i	−0.130686	+	0.991424i	$0.541718\pi$
$740$	−4.74367	−	2.49124i	−0.174381	−	0.0915797i
$741$	−2.29421	−	6.18849i	−0.0842799	−	0.227340i
$742$	6.88496	+	1.69793i	0.252755	+	0.0623331i
$743$	3.20365	+	3.20365i	0.117530	+	0.117530i	0.763426	−	0.645895i	$-0.223516\pi$
$743$	3.20365	+	3.20365i	0.117530	+	0.117530i	−0.645895	+	0.763426i	$0.723516\pi$
$744$	−19.4843	+	20.3751i	−0.714331	+	0.746986i
$745$	−5.72193	+	5.72193i	−0.209635	+	0.209635i
$746$	41.5567	−	25.1146i	1.52150	−	0.919510i
$747$	−23.3535	+	46.1954i	−0.854459	+	1.69020i
$748$	−0.883889	+	9.69891i	−0.0323182	+	0.354627i
$749$	3.39260	−	1.40526i	0.123963	−	0.0513471i
$750$	−7.72085	−	6.14424i	−0.281926	−	0.224356i
$751$	−53.3838			−1.94800			−0.974001	−	0.226542i	$-0.927258\pi$
$751$	−53.3838			−1.94800			−0.974001	+	0.226542i	$0.927258\pi$
$752$	−23.8013	−	34.5204i	−0.867945	−	1.25883i
$753$	2.49233	−	2.31123i	0.0908255	−	0.0842257i
$754$	−6.18910	−	40.7004i	−0.225394	−	1.48222i
$755$	1.81738	+	4.38754i	0.0661411	+	0.159679i
$756$	−5.98701	+	28.9494i	−0.217746	+	1.05288i
$757$	−40.7929	−	16.8970i	−1.48264	−	0.614130i	−0.512941	−	0.858424i	$-0.671444\pi$
$757$	−40.7929	−	16.8970i	−1.48264	−	0.614130i	−0.969701	+	0.244294i	$0.921444\pi$
$758$	−36.7591	+	22.2152i	−1.33515	+	0.806891i
$759$	−3.04293	−	0.114725i	−0.110451	−	0.00416425i
$760$	0.766434	+	0.264813i	0.0278015	+	0.00960578i
$761$	2.82203	−	2.82203i	0.102299	−	0.102299i	−0.654105	−	0.756404i	$-0.726955\pi$
$761$	2.82203	−	2.82203i	0.102299	−	0.102299i	0.756404	+	0.654105i	$0.226955\pi$
$762$	6.08139	+	10.9769i	0.220306	+	0.397650i
$763$	−6.41304	−	2.65637i	−0.232168	−	0.0961670i
$764$	6.42466	+	20.6363i	0.232436	+	0.746594i
$765$	−2.43069	−	7.40097i	−0.0878819	−	0.267582i
$766$	−4.46542	+	6.06703i	−0.161342	+	0.219211i
$767$	47.6820			1.72170
$768$	−19.7620	+	19.4284i	−0.713100	+	0.701062i
$769$	11.4430			0.412645			0.206322	−	0.978484i	$-0.433850\pi$
$769$	11.4430			0.412645			0.206322	+	0.978484i	$0.433850\pi$
$770$	0.750666	−	1.01991i	0.0270521	−	0.0367549i
$771$	9.69264	−	21.1130i	0.349072	−	0.760365i
$772$	3.46220	+	11.1207i	0.124607	+	0.400243i
$773$	17.4059	+	7.20975i	0.626046	+	0.259317i	0.673072	−	0.739577i	$-0.264974\pi$
$773$	17.4059	+	7.20975i	0.626046	+	0.259317i	−0.0470263	+	0.998894i	$0.514974\pi$
$774$	−1.40581	+	4.28289i	−0.0505309	+	0.153945i
$775$	19.6627	−	19.6627i	0.706305	−	0.706305i
$776$	13.6126	+	4.70333i	0.488663	+	0.168840i
$777$	1.21379	−	32.1942i	0.0435444	−	1.15496i
$778$	−26.2585	+	15.8691i	−0.941411	+	0.568937i
$779$	−5.04886	−	2.09131i	−0.180894	−	0.0749289i
$780$	7.66493	+	0.990915i	0.274448	+	0.0354804i
$781$	−0.819227	−	1.97779i	−0.0293142	−	0.0707708i
$782$	3.08321	+	20.2756i	0.110255	+	0.725055i
$783$	−21.7318	+	17.3002i	−0.776631	+	0.618259i
$784$	2.47895	+	3.59536i	0.0885339	+	0.128406i
$785$	0.631829			0.0225509
$786$	21.5293	−	27.0537i	0.767925	−	0.964975i
$787$	26.6913	−	11.0559i	0.951441	−	0.394100i	0.147669	−	0.989037i	$-0.452823\pi$
$787$	26.6913	−	11.0559i	0.951441	−	0.394100i	0.803772	+	0.594937i	$0.202823\pi$
$788$	3.82234	−	41.9425i	0.136165	−	1.49414i
$789$	−15.9244	−	42.9552i	−0.566925	−	1.52925i
$790$	4.34277	−	2.62453i	0.154509	−	0.0933765i
$791$	14.1269	−	14.1269i	0.502296	−	0.502296i
$792$	−0.100017	+	6.51880i	−0.00355393	+	0.231635i
$793$	17.2847	+	17.2847i	0.613798	+	0.613798i
$794$	−9.51517	−	2.34659i	−0.337681	−	0.0832772i
$795$	−1.17289	+	0.434815i	−0.0415980	+	0.0154213i
$796$	−4.09470	−	2.15042i	−0.145133	−	0.0762195i
$797$	−18.1728	−	43.8730i	−0.643714	−	1.55406i	−0.821633	−	0.570017i	$-0.806936\pi$
$797$	−18.1728	−	43.8730i	−0.643714	−	1.55406i	0.177919	−	0.984045i	$-0.443064\pi$
$798$	0.550876	+	4.84454i	0.0195008	+	0.171495i
$799$			66.4364i			2.35035i
$800$	19.9156	−	18.7231i	0.704124	−	0.661961i
$801$	−25.8716	−	1.95361i	−0.914128	−	0.0690272i
$802$	4.70353	−	6.39054i	0.166087	−	0.225658i
$803$	−9.52598	+	3.94579i	−0.336164	+	0.139244i
$804$	23.1722	−	6.26697i	0.817220	−	0.221019i
$805$	1.02052	−	2.46376i	0.0359687	−	0.0868361i
$806$	−10.6115	+	43.0284i	−0.373773	+	1.51561i
$807$	11.6177	+	0.438013i	0.408963	+	0.0154188i
$808$	5.35255	+	4.74566i	0.188302	+	0.166952i
$809$	10.4387	+	10.4387i	0.367006	+	0.367006i	0.866384	−	0.499378i	$-0.166438\pi$
$809$	10.4387	+	10.4387i	0.367006	+	0.367006i	−0.499378	+	0.866384i	$0.666438\pi$
$810$	−1.99642	−	4.81744i	−0.0701469	−	0.169267i
$811$	−5.74617	+	13.8725i	−0.201775	+	0.487129i	−0.992083	−	0.125581i	$-0.959921\pi$
$811$	−5.74617	+	13.8725i	−0.201775	+	0.487129i	0.790308	+	0.612710i	$0.209921\pi$
$812$	−2.76017	+	30.2873i	−0.0968629	+	1.06288i
$813$	−41.5571	−	19.0782i	−1.45747	−	0.669103i
$814$	−1.06816	−	7.02435i	−0.0374389	−	0.246203i
$815$		−	0.992553i		−	0.0347676i
$816$	43.2520	−	7.56936i	1.51412	−	0.264981i
$817$			0.743472i			0.0260108i
$818$	−1.35120	+	0.205469i	−0.0472434	+	0.00718406i
$819$	14.5005	+	44.1512i	0.506690	+	1.54277i
$820$	4.91704	−	4.09569i	0.171711	−	0.143028i
$821$	−1.81831	+	4.38979i	−0.0634594	+	0.153205i	−0.952428	−	0.304763i	$-0.901423\pi$
$821$	−1.81831	+	4.38979i	−0.0634594	+	0.153205i	0.888969	+	0.457968i	$0.151423\pi$
$822$	17.2875	+	4.96126i	0.602970	+	0.173044i
$823$	6.63123	+	6.63123i	0.231150	+	0.231150i	0.813173	−	0.582023i	$-0.197738\pi$
$823$	6.63123	+	6.63123i	0.231150	+	0.231150i	−0.582023	+	0.813173i	$0.697738\pi$
$824$	22.1365	−	10.7677i	0.771163	−	0.375110i
$825$	0.242276	−	6.42605i	0.00843496	−	0.223726i
$826$	−34.2002	−	8.43428i	−1.18998	−	0.293466i
$827$	4.53700	−	10.9533i	0.157767	−	0.380883i	−0.825155	−	0.564907i	$-0.808912\pi$
$827$	4.53700	−	10.9533i	0.157767	−	0.380883i	0.982922	+	0.184023i	$0.0589122\pi$
$828$	3.08241	+	13.3785i	0.107121	+	0.464934i
$829$	−23.9460	+	9.91877i	−0.831680	+	0.344493i	−0.757568	−	0.652757i	$-0.773612\pi$
$829$	−23.9460	+	9.91877i	−0.831680	+	0.344493i	−0.0741124	+	0.997250i	$0.523612\pi$
$830$	−8.05163	−	5.92611i	−0.279476	−	0.205698i
$831$	15.0563	+	16.2361i	0.522296	+	0.563223i
$832$	−11.7310	+	41.9553i	−0.406701	+	1.45454i
$833$		−	6.91947i		−	0.239745i
$834$	2.10923	+	18.5491i	0.0730367	+	0.642303i
$835$	2.98098	+	7.19672i	0.103161	+	0.249053i
$836$	0.319637	+	1.02669i	0.0110549	+	0.0355087i
$837$	28.7404	−	8.25342i	0.993414	−	0.285280i
$838$	6.18583	−	25.0829i	0.213686	−	0.866476i
$839$	−20.4190	−	20.4190i	−0.704940	−	0.704940i	0.260526	−	0.965467i	$-0.416104\pi$
$839$	−20.4190	−	20.4190i	−0.704940	−	0.704940i	−0.965467	+	0.260526i	$0.916104\pi$
$840$	−5.32243	−	2.06656i	−0.183641	−	0.0713030i
$841$	0.299407	−	0.299407i	0.0103244	−	0.0103244i
$842$	14.0771	+	23.2932i	0.485129	+	0.802736i
$843$	25.0420	−	9.28361i	0.862491	−	0.319744i
$844$	−18.6182	−	22.3519i	−0.640864	−	0.769383i
$845$	6.30393	−	2.61117i	0.216862	−	0.0898271i
$846$	3.35637	+	44.3471i	0.115394	+	1.52468i
$847$	−29.6114			−1.01746
$848$	−1.47628	−	6.89462i	−0.0506958	−	0.236762i
$849$	11.2978	+	12.1830i	0.387738	+	0.418121i
$850$	−42.8181	+	6.51112i	−1.46865	+	0.223330i
$851$	−5.72571	−	13.8231i	−0.196275	−	0.473849i
$852$	−7.64346	+	5.89342i	−0.261861	+	0.201905i
$853$	−15.7580	−	6.52717i	−0.539543	−	0.223486i	0.0962340	−	0.995359i	$-0.469320\pi$
$853$	−15.7580	−	6.52717i	−0.539543	−	0.223486i	−0.635777	+	0.771873i	$0.719320\pi$
$854$	−9.34013	−	15.4550i	−0.319613	−	0.528858i
$855$	−0.560650	−	0.652237i	−0.0191738	−	0.0223060i
$856$	−2.73205	−	2.42228i	−0.0933795	−	0.0827918i
$857$	−33.0421	+	33.0421i	−1.12870	+	1.12870i	−0.138307	+	0.990389i	$0.544166\pi$
$857$	−33.0421	+	33.0421i	−1.12870	+	1.12870i	−0.990389	+	0.138307i	$0.955834\pi$
$858$	4.96670	+	8.96486i	0.169560	+	0.306055i
$859$	29.6597	+	12.2854i	1.01198	+	0.419174i	0.826175	−	0.563413i	$-0.190512\pi$
$859$	29.6597	+	12.2854i	1.01198	+	0.419174i	0.185801	+	0.982587i	$0.440512\pi$
$860$	−0.770782	−	0.404792i	−0.0262835	−	0.0138033i
$861$	34.9693	+	16.0539i	1.19175	+	0.547115i
$862$	−21.3441	−	15.7095i	−0.726983	−	0.535069i
$863$	36.6539			1.24771			0.623856	−	0.781539i	$-0.285565\pi$
$863$	36.6539			1.24771			0.623856	+	0.781539i	$0.285565\pi$
$864$	28.4889	−	7.23774i	0.969211	−	0.246233i
$865$	2.26825			0.0771228
$866$	3.28180	+	2.41545i	0.111520	+	0.0820803i
$867$	−36.4677	−	16.7418i	−1.23851	−	0.568581i
$868$	15.2223	−	28.9854i	0.516677	−	0.983827i
$869$	6.21654	+	2.57497i	0.210882	+	0.0873500i
$870$	−2.59987	−	4.69275i	−0.0881439	−	0.159099i
$871$	26.6829	−	26.6829i	0.904116	−	0.904116i
$872$	0.414054	+	6.88952i	0.0140217	+	0.233308i
$873$	−9.95766	−	11.5843i	−0.337016	−	0.392070i
$874$	1.17119	+	1.93795i	0.0396161	+	0.0655522i
$875$	10.5867	+	4.38514i	0.357895	+	0.148245i
$876$	28.3856	+	36.8146i	0.959059	+	1.24385i
$877$	17.7546	+	42.8634i	0.599531	+	1.44740i	0.874060	+	0.485817i	$0.161478\pi$
$877$	17.7546	+	42.8634i	0.599531	+	1.44740i	−0.274529	+	0.961579i	$0.588522\pi$
$878$	12.9400	−	1.96772i	0.436705	−	0.0664075i
$879$	25.5802	+	27.5846i	0.862799	+	0.930407i
$880$	−1.23843	−	0.227614i	−0.0417475	−	0.00767286i
$881$	−30.9787			−1.04370			−0.521850	−	0.853038i	$-0.674758\pi$
$881$	−30.9787			−1.04370			−0.521850	+	0.853038i	$0.674758\pi$
$882$	−0.349572	−	4.61883i	−0.0117707	−	0.155524i
$883$	−27.3679	+	11.3361i	−0.921002	+	0.381492i	−0.792258	−	0.610186i	$-0.791095\pi$
$883$	−27.3679	+	11.3361i	−0.921002	+	0.381492i	−0.128744	+	0.991678i	$0.541095\pi$
$884$	53.0367	−	44.1773i	1.78382	−	1.48584i
$885$	5.82617	−	2.15989i	0.195845	−	0.0726039i
$886$	11.4206	+	18.8975i	0.383682	+	0.634873i
$887$	−2.37216	+	2.37216i	−0.0796492	+	0.0796492i	−0.745809	−	0.666160i	$-0.767937\pi$
$887$	−2.37216	+	2.37216i	−0.0796492	+	0.0796492i	0.666160	+	0.745809i	$0.267937\pi$
$888$	−29.3141	+	12.9169i	−0.983717	+	0.433464i
$889$	−10.3047	−	10.3047i	−0.345610	−	0.345610i
$890$	1.19984	−	4.86525i	0.0402188	−	0.163083i
$891$	3.57563	−	5.91884i	0.119788	−	0.198289i
$892$	−0.203614	+	0.0633907i	−0.00681749	+	0.00212248i
$893$	2.80707	+	6.77687i	0.0939350	+	0.226779i
$894$	5.46602	+	48.0695i	0.182811	+	1.60768i
$895$			2.16436i			0.0723465i
$896$	15.8355	−	28.0176i	0.529025	−	0.936003i
$897$	14.6749	+	15.8248i	0.489982	+	0.528376i
$898$	2.87153	+	2.11348i	0.0958242	+	0.0705279i
$899$	28.4210	−	11.7724i	0.947893	−	0.392630i
$900$	−28.2526	+	6.50943i	−0.941755	+	0.216981i
$901$	−4.27525	+	10.3214i	−0.142429	+	0.343854i
$902$	8.23911	+	2.03189i	0.274332	+	0.0676545i
$903$	0.197224	−	5.23111i	0.00656321	−	0.174080i
$904$	−18.7757	−	6.48727i	−0.624472	−	0.215763i
$905$	−2.52850	−	2.52850i	−0.0840503	−	0.0840503i
$906$	27.2911	+	7.83215i	0.906686	+	0.260206i
$907$	−13.3336	+	32.1901i	−0.442734	+	1.06885i	0.532252	+	0.846586i	$0.321346\pi$
$907$	−13.3336	+	32.1901i	−0.442734	+	1.06885i	−0.974986	+	0.222268i	$0.928654\pi$
$908$	−29.1386	−	34.9820i	−0.966997	−	1.16092i
$909$	−2.36748	−	7.20850i	−0.0785245	−	0.239091i
$910$	−8.87339	+	1.34933i	−0.294150	+	0.0447299i
$911$			11.2111i			0.371441i	0.982603	+	0.185721i	$0.0594620\pi$
$911$			11.2111i			0.371441i	−0.982603	+	0.185721i	$0.940538\pi$
$912$	4.09212	−	2.59960i	0.135504	−	0.0860814i
$913$		−	13.2571i		−	0.438747i
$914$	−8.00331	−	52.6310i	−0.264726	−	1.74088i
$915$	2.89494	+	1.32903i	0.0957039	+	0.0439362i
$916$	8.12967	+	0.740879i	0.268612	+	0.0244793i
$917$	−15.3655	+	37.0955i	−0.507412	+	1.22500i
$918$	−43.6715	−	16.1815i	−1.44137	−	0.534068i
$919$	−9.86384	−	9.86384i	−0.325378	−	0.325378i	0.525448	−	0.850826i	$-0.323898\pi$
$919$	−9.86384	−	9.86384i	−0.325378	−	0.325378i	−0.850826	+	0.525448i	$0.823898\pi$
$920$	−2.64681	+	0.159071i	−0.0872628	+	0.00524442i
$921$	−1.02792	−	0.0387546i	−0.0338710	−	0.00127701i
$922$	−6.20757	+	25.1711i	−0.204435	+	0.828965i
$923$	−5.80623	+	14.0175i	−0.191115	+	0.461391i
$924$	−1.97663	−	7.30863i	−0.0650265	−	0.240436i
$925$	29.1916	−	12.0916i	0.959814	−	0.397568i
$926$	18.5329	−	25.1802i	0.609030	−	0.827472i
$927$	−26.0356	−	1.96599i	−0.855120	−	0.0645715i
$928$	28.2817	−	10.7049i	0.928393	−	0.351406i
$929$		−	6.97392i		−	0.228807i	−0.993434	−	0.114403i	$-0.963504\pi$
$929$		−	6.97392i		−	0.228807i	0.993434	−	0.114403i	$-0.0364956\pi$
$930$	0.652499	+	5.73824i	0.0213963	+	0.188164i
$931$	−0.292361	−	0.705823i	−0.00958176	−	0.0231324i
$932$	−5.88677	+	11.2092i	−0.192828	+	0.367171i
$933$	−19.1069	+	7.08335i	−0.625532	+	0.231899i
$934$	−39.8038	−	9.81622i	−1.30242	−	0.321197i
$935$	1.41074	+	1.41074i	0.0461362	+	0.0461362i
$936$	33.1708	−	32.1683i	1.08422	−	1.05145i
$937$	32.9019	−	32.9019i	1.07486	−	1.07486i	0.0778973	−	0.996961i	$-0.475179\pi$
$937$	32.9019	−	32.9019i	1.07486	−	1.07486i	0.996961	−	0.0778973i	$-0.0248206\pi$
$938$	−23.8583	+	14.4186i	−0.779001	+	0.470785i
$939$	−5.02564	−	13.5564i	−0.164006	−	0.442395i
$940$	−8.55415	−	0.779563i	−0.279006	−	0.0254266i
$941$	−1.67400	+	0.693394i	−0.0545709	+	0.0226040i	−0.409802	−	0.912175i	$-0.634402\pi$
$941$	−1.67400	+	0.693394i	−0.0545709	+	0.0226040i	0.355231	+	0.934779i	$0.384402\pi$
$942$	2.35219	−	2.95576i	0.0766384	−	0.0963038i
$943$	17.8698			0.581922
$944$	7.33325	+	34.2482i	0.238677	+	1.11468i
$945$	3.77174	+	4.73790i	0.122695	+	0.154124i
$946$	−0.173561	−	1.14136i	−0.00564295	−	0.0371088i
$947$	−5.82625	−	14.0658i	−0.189328	−	0.457078i	0.800503	−	0.599329i	$-0.204566\pi$
$947$	−5.82625	−	14.0658i	−0.189328	−	0.457078i	−0.989831	+	0.142251i	$0.954566\pi$
$948$	3.88956	−	30.0865i	0.126327	−	0.977165i
$949$	67.5150	+	27.9656i	2.19163	+	0.907802i
$950$	−4.09257	+	2.47332i	−0.132780	+	0.0802451i
$951$	0.0738178	−	1.95792i	0.00239371	−	0.0634899i
$952$	−45.8552	+	22.3049i	−1.48617	+	0.722907i
$953$	30.1975	−	30.1975i	0.978193	−	0.978193i	−0.0215739	−	0.999767i	$-0.506868\pi$
$953$	30.1975	−	30.1975i	0.978193	−	0.978193i	0.999767	+	0.0215739i	$0.00686771\pi$
$954$	−2.33234	+	7.10562i	−0.0755124	+	0.230053i
$955$	4.09053	+	1.69435i	0.132366	+	0.0548279i
$956$	−16.5759	+	5.16055i	−0.536102	+	0.166904i
$957$	2.96813	−	6.46531i	0.0959459	−	0.208994i
$958$	9.66458	−	13.1310i	0.312249	−	0.424243i
$959$	−20.8864			−0.674458
$960$	0.467090	+	5.65783i	0.0150753	+	0.182606i
$961$	−2.11594			−0.0682560
$962$	−29.8500	+	40.5563i	−0.962402	+	1.30759i
$963$	1.20841	+	3.67936i	0.0389405	+	0.118566i
$964$	−8.70118	+	2.70893i	−0.280246	+	0.0872487i
$965$	2.20435	+	0.913071i	0.0709605	+	0.0293928i
$966$	−7.72648	−	13.9462i	−0.248595	−	0.448713i
$967$	−19.7575	+	19.7575i	−0.635360	+	0.635360i	−0.949407	−	0.314047i	$-0.898315\pi$
$967$	−19.7575	+	19.7575i	−0.635360	+	0.635360i	0.314047	+	0.949407i	$0.398315\pi$
$968$	12.8789	+	26.4768i	0.413943	+	0.850997i
$969$	−7.67598	−	0.289401i	−0.246588	−	0.00929689i
$970$	2.52505	−	1.52600i	0.0810744	−	0.0489969i
$971$	12.7822	+	5.29454i	0.410199	+	0.169910i	0.578234	−	0.815871i	$-0.303742\pi$
$971$	12.7822	+	5.29454i	0.410199	+	0.169910i	−0.168035	+	0.985781i	$0.553742\pi$
$972$	−29.9687	−	8.59503i	−0.961248	−	0.275686i
$973$	−8.29657	−	20.0297i	−0.265976	−	0.642122i
$974$	−7.32238	−	48.1530i	−0.234624	−	1.54292i
$975$	−33.4189	+	30.9905i	−1.07026	+	0.992491i
$976$	−9.75666	+	15.0733i	−0.312303	+	0.482483i
$977$	38.6385			1.23615			0.618077	−	0.786117i	$-0.287912\pi$
$977$	38.6385			1.23615			0.618077	+	0.786117i	$0.287912\pi$
$978$	−4.64326	−	3.69510i	−0.148475	−	0.118156i
$979$	6.13909	−	2.54289i	0.196206	−	0.0812713i
$980$	0.890930	+	0.0811929i	0.0284597	+	0.00259361i
$981$	3.30279	−	6.53323i	0.105450	−	0.208590i
$982$	−17.3465	+	10.4832i	−0.553549	+	0.334534i
$983$	−20.6692	+	20.6692i	−0.659244	+	0.659244i	−0.955201	−	0.295957i	$-0.904361\pi$
$983$	−20.6692	+	20.6692i	−0.659244	+	0.659244i	0.295957	+	0.955201i	$0.404361\pi$
$984$	−0.854749	−	38.2499i	−0.0272484	−	1.21936i
$985$	−6.10069	−	6.10069i	−0.194384	−	0.194384i
$986$	−46.5196	−	11.4724i	−1.48149	−	0.365357i
$987$	−17.9530	−	48.4271i	−0.571450	−	1.54145i
$988$	3.54345	−	6.74723i	0.112732	−	0.214658i
$989$	−0.930350	−	2.24606i	−0.0295834	−	0.0714206i
$990$	1.01296	+	0.870417i	0.0321940	+	0.0276637i
$991$		−	37.7543i		−	1.19931i	−0.800260	−	0.599653i	$-0.795305\pi$
$991$		−	37.7543i		−	1.19931i	0.800260	−	0.599653i	$-0.204695\pi$
$992$	−32.5377	−	1.00426i	−1.03307	−	0.0318853i
$993$	20.4758	−	18.9879i	0.649779	−	0.602563i
$994$	6.64405	−	9.02707i	0.210736	−	0.286321i
$995$	−0.875334	+	0.362575i	−0.0277499	+	0.0114944i
$996$	−57.6977	+	15.6045i	−1.82822	+	0.494446i
$997$	−11.1744	+	26.9773i	−0.353896	+	0.854381i	0.642235	+	0.766507i	$0.278007\pi$
$997$	−11.1744	+	26.9773i	−0.353896	+	0.854381i	−0.996132	+	0.0878737i	$0.971993\pi$
$998$	−2.49208	+	10.1052i	−0.0788856	+	0.319873i
$999$	33.7601	+	3.83302i	1.06812	+	0.121271i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	96.2.o.a.11.11	yes	56
3.2	odd	2	inner	96.2.o.a.11.4	✓	56
4.3	odd	2		384.2.o.a.335.12		56
8.3	odd	2		768.2.o.a.671.3		56
8.5	even	2		768.2.o.b.671.12		56
12.11	even	2		384.2.o.a.335.6		56
24.5	odd	2		768.2.o.b.671.6		56
24.11	even	2		768.2.o.a.671.9		56
32.3	odd	8	inner	96.2.o.a.35.4	yes	56
32.13	even	8		768.2.o.a.95.9		56
32.19	odd	8		768.2.o.b.95.6		56
32.29	even	8		384.2.o.a.47.6		56
96.29	odd	8		384.2.o.a.47.12		56
96.35	even	8	inner	96.2.o.a.35.11	yes	56
96.77	odd	8		768.2.o.a.95.3		56
96.83	even	8		768.2.o.b.95.12		56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
96.2.o.a.11.4	✓	56	3.2	odd	2	inner
96.2.o.a.11.11	yes	56	1.1	even	1	trivial
96.2.o.a.35.4	yes	56	32.3	odd	8	inner
96.2.o.a.35.11	yes	56	96.35	even	8	inner
384.2.o.a.47.6		56	32.29	even	8
384.2.o.a.47.12		56	96.29	odd	8
384.2.o.a.335.6		56	12.11	even	2
384.2.o.a.335.12		56	4.3	odd	2
768.2.o.a.95.3		56	96.77	odd	8
768.2.o.a.95.9		56	32.13	even	8
768.2.o.a.671.3		56	8.3	odd	2
768.2.o.a.671.9		56	24.11	even	2
768.2.o.b.95.6		56	32.19	odd	8
768.2.o.b.95.12		56	96.83	even	8
768.2.o.b.671.6		56	24.5	odd	2
768.2.o.b.671.12		56	8.5	even	2

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:	\( N \)	\(=\)	\( 96 = 2^{5} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	96.o (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.838298 - 1.13897i) q^{2} +(-1.57410 - 0.722645i) q^{3} +(-0.594512 - 1.90960i) q^{4} +(-0.378520 - 0.156788i) q^{5} +(-2.14264 + 1.18706i) q^{6} +(2.01144 - 2.01144i) q^{7} +(-2.67335 - 0.923679i) q^{8} +(1.95557 + 2.27503i) q^{9} +O(q^{10})\)	\(q+(0.838298 - 1.13897i) q^{2} +(-1.57410 - 0.722645i) q^{3} +(-0.594512 - 1.90960i) q^{4} +(-0.378520 - 0.156788i) q^{5} +(-2.14264 + 1.18706i) q^{6} +(2.01144 - 2.01144i) q^{7} +(-2.67335 - 0.923679i) q^{8} +(1.95557 + 2.27503i) q^{9} +(-0.495890 + 0.299689i) q^{10} +(-0.709852 - 0.294030i) q^{11} +(-0.444140 + 3.43551i) q^{12} +(2.08393 + 5.03104i) q^{13} +(-0.604786 - 3.97716i) q^{14} +(0.482526 + 0.520336i) q^{15} +(-3.29311 + 2.27055i) q^{16} +6.33777 q^{17} +(4.23054 - 0.320185i) q^{18} +(0.646487 - 0.267784i) q^{19} +(-0.0743674 + 0.816033i) q^{20} +(-4.61976 + 1.71265i) q^{21} +(-0.929959 + 0.562016i) q^{22} +(-1.61798 + 1.61798i) q^{23} +(3.54063 + 3.38585i) q^{24} +(-3.41684 - 3.41684i) q^{25} +(7.47717 + 1.84398i) q^{26} +(-1.43422 - 4.99430i) q^{27} +(-5.03686 - 2.64521i) q^{28} +(-2.04571 - 4.93879i) q^{29} +(0.997148 - 0.113386i) q^{30} +5.75464i q^{31} +(-0.174513 + 5.65416i) q^{32} +(0.904897 + 0.975803i) q^{33} +(5.31295 - 7.21854i) q^{34} +(-1.07674 + 0.446001i) q^{35} +(3.18177 - 5.08688i) q^{36} +(-2.50232 + 6.04113i) q^{37} +(0.236951 - 0.960813i) q^{38} +(0.355354 - 9.42529i) q^{39} +(0.867097 + 0.768782i) q^{40} +(-5.52228 - 5.52228i) q^{41} +(-1.92208 + 6.69748i) q^{42} +(-0.406593 + 0.981601i) q^{43} +(-0.139464 + 1.53033i) q^{44} +(-0.383525 - 1.16775i) q^{45} +(0.486482 + 3.19917i) q^{46} +10.4826i q^{47} +(6.82448 - 1.19433i) q^{48} -1.09178i q^{49} +(-6.75601 + 1.02735i) q^{50} +(-9.97628 - 4.57996i) q^{51} +(8.36834 - 6.97047i) q^{52} +(-0.674566 + 1.62855i) q^{53} +(-6.89067 - 2.55318i) q^{54} +(0.222593 + 0.222593i) q^{55} +(-7.23521 + 3.51937i) q^{56} +(-1.21115 - 0.0456628i) q^{57} +(-7.34006 - 1.81017i) q^{58} +(3.35082 - 8.08960i) q^{59} +(0.706764 - 1.23078i) q^{60} +(4.14715 - 1.71781i) q^{61} +(6.55438 + 4.82411i) q^{62} +(8.50959 + 0.642573i) q^{63} +(6.29363 + 4.93864i) q^{64} -2.23109i q^{65} +(1.86999 - 0.212637i) q^{66} +(-2.65183 - 6.40208i) q^{67} +(-3.76788 - 12.1026i) q^{68} +(3.71607 - 1.37763i) q^{69} +(-0.394648 + 1.60026i) q^{70} +(1.97014 + 1.97014i) q^{71} +(-3.12653 - 7.88827i) q^{72} +(9.48914 - 9.48914i) q^{73} +(4.78299 + 7.91434i) q^{74} +(2.90928 + 7.84760i) q^{75} +(-0.895703 - 1.07533i) q^{76} +(-2.01925 + 0.836400i) q^{77} +(-10.4372 - 8.30595i) q^{78} -8.75751 q^{79} +(1.60251 - 0.343130i) q^{80} +(-1.35150 + 8.89795i) q^{81} +(-10.9190 + 1.66040i) q^{82} +(6.60293 + 15.9409i) q^{83} +(6.01696 + 7.80369i) q^{84} +(-2.39898 - 0.993689i) q^{85} +(0.777170 + 1.28597i) q^{86} +(-0.348838 + 9.25246i) q^{87} +(1.62609 + 1.44172i) q^{88} +(-6.11535 + 6.11535i) q^{89} +(-1.65155 - 0.542103i) q^{90} +(14.3113 + 5.92795i) q^{91} +(4.05158 + 2.12777i) q^{92} +(4.15856 - 9.05837i) q^{93} +(11.9394 + 8.78755i) q^{94} -0.286694 q^{95} +(4.36065 - 8.77409i) q^{96} -5.09195 q^{97} +(-1.24351 - 0.915239i) q^{98} +(-0.719237 - 2.18993i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9}+O(q^{10}) \) 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9	\( 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9} - 16 q^{10} - 4 q^{12} - 8 q^{13} - 8 q^{15} - 40 q^{16} - 4 q^{18} - 8 q^{19} - 4 q^{21} - 24 q^{22} + 16 q^{24} - 8 q^{25} - 28 q^{27} - 8 q^{28} + 44 q^{30} - 8 q^{33} - 24 q^{34} + 48 q^{36} - 8 q^{37} - 28 q^{39} + 24 q^{40} + 56 q^{42} - 8 q^{43} - 4 q^{45} + 24 q^{46} + 48 q^{48} - 16 q^{51} + 48 q^{52} + 40 q^{54} + 24 q^{55} - 4 q^{57} + 96 q^{58} + 8 q^{60} - 40 q^{61} + 40 q^{64} - 28 q^{66} + 56 q^{67} - 4 q^{69} + 40 q^{70} - 64 q^{72} - 8 q^{73} + 16 q^{75} + 48 q^{76} - 92 q^{78} + 16 q^{79} - 48 q^{82} - 136 q^{84} - 48 q^{85} + 52 q^{87} - 48 q^{88} - 136 q^{90} + 40 q^{91} + 8 q^{93} - 64 q^{94} - 104 q^{96} - 16 q^{97} + 60 q^{99}+O(q^{100}) \) 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9 - 16 * q^10 - 4 * q^12 - 8 * q^13 - 8 * q^15 - 40 * q^16 - 4 * q^18 - 8 * q^19 - 4 * q^21 - 24 * q^22 + 16 * q^24 - 8 * q^25 - 28 * q^27 - 8 * q^28 + 44 * q^30 - 8 * q^33 - 24 * q^34 + 48 * q^36 - 8 * q^37 - 28 * q^39 + 24 * q^40 + 56 * q^42 - 8 * q^43 - 4 * q^45 + 24 * q^46 + 48 * q^48 - 16 * q^51 + 48 * q^52 + 40 * q^54 + 24 * q^55 - 4 * q^57 + 96 * q^58 + 8 * q^60 - 40 * q^61 + 40 * q^64 - 28 * q^66 + 56 * q^67 - 4 * q^69 + 40 * q^70 - 64 * q^72 - 8 * q^73 + 16 * q^75 + 48 * q^76 - 92 * q^78 + 16 * q^79 - 48 * q^82 - 136 * q^84 - 48 * q^85 + 52 * q^87 - 48 * q^88 - 136 * q^90 + 40 * q^91 + 8 * q^93 - 64 * q^94 - 104 * q^96 - 16 * q^97 + 60 * q^99

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