LMFDB - Embedded newform 273.2.bw.b.254.26

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(11,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 8, 7]))

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

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

chi := DirichletCharacter("273.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bw (of order $12$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			254.26
Character	$\chi$	$=$	273.254
Dual form			273.2.bw.b.158.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.81619 + 0.486646i) q^{2} +(0.286136 - 1.70825i) q^{3} +(1.32967 + 0.767683i) q^{4} +(-0.961410 - 3.58803i) q^{5} +(1.35099 - 2.96326i) q^{6} +(-0.409843 + 2.61381i) q^{7} +(-0.617751 - 0.617751i) q^{8} +(-2.83625 - 0.977586i) q^{9} +O(q^{10})$	\(q+(1.81619 + 0.486646i) q^{2} +(0.286136 - 1.70825i) q^{3} +(1.32967 + 0.767683i) q^{4} +(-0.961410 - 3.58803i) q^{5} +(1.35099 - 2.96326i) q^{6} +(-0.409843 + 2.61381i) q^{7} +(-0.617751 - 0.617751i) q^{8} +(-2.83625 - 0.977586i) q^{9} -6.98441i q^{10} +(3.98502 + 3.98502i) q^{11} +(1.69186 - 2.05174i) q^{12} +(3.45021 - 1.04692i) q^{13} +(-2.01636 + 4.54773i) q^{14} +(-6.40436 + 0.615665i) q^{15} +(-2.35669 - 4.08191i) q^{16} +(0.302298 - 0.523595i) q^{17} +(-4.67543 - 3.15573i) q^{18} +(1.91396 + 1.91396i) q^{19} +(1.47612 - 5.50894i) q^{20} +(4.34778 + 1.44802i) q^{21} +(5.29825 + 9.17685i) q^{22} +(1.36651 + 2.36686i) q^{23} +(-1.23203 + 0.878513i) q^{24} +(-7.61953 + 4.39914i) q^{25} +(6.77571 - 0.222365i) q^{26} +(-2.48152 + 4.56531i) q^{27} +(-2.55154 + 3.16087i) q^{28} +(0.0469632 + 0.0271142i) q^{29} +(-11.9311 - 1.99849i) q^{30} +(-1.27427 + 4.75563i) q^{31} +(-1.84153 - 6.87267i) q^{32} +(7.94768 - 5.66716i) q^{33} +(0.803836 - 0.803836i) q^{34} +(9.77248 - 1.04242i) q^{35} +(-3.02079 - 3.47720i) q^{36} +(6.98619 + 1.87195i) q^{37} +(2.54469 + 4.40753i) q^{38} +(-0.801167 - 6.19339i) q^{39} +(-1.62260 + 2.81042i) q^{40} +(-1.68812 - 6.30015i) q^{41} +(7.19172 + 4.74571i) q^{42} +(-4.42991 + 2.55761i) q^{43} +(2.23951 + 8.35798i) q^{44} +(-0.780806 + 11.1164i) q^{45} +(1.33001 + 4.96368i) q^{46} +(-2.06131 + 0.552327i) q^{47} +(-7.64727 + 2.85784i) q^{48} +(-6.66406 - 2.14251i) q^{49} +(-15.9793 + 4.28165i) q^{50} +(-0.807935 - 0.666221i) q^{51} +(5.39133 + 1.25662i) q^{52} +(-1.33418 + 0.770286i) q^{53} +(-6.72860 + 7.08385i) q^{54} +(10.4671 - 18.1296i) q^{55} +(1.86787 - 1.36151i) q^{56} +(3.81718 - 2.72187i) q^{57} +(0.0720991 + 0.0720991i) q^{58} +(-10.0446 + 2.69143i) q^{59} +(-8.98829 - 4.09789i) q^{60} +1.09112 q^{61} +(-4.62861 + 8.01700i) q^{62} +(3.71765 - 7.01278i) q^{63} -3.95146i q^{64} +(-7.07344 - 11.3730i) q^{65} +(17.1924 - 6.42493i) q^{66} +(-3.48337 - 3.48337i) q^{67} +(0.803911 - 0.464138i) q^{68} +(4.43421 - 1.65710i) q^{69} +(18.2560 + 2.86251i) q^{70} +(-2.21785 - 0.594271i) q^{71} +(1.14819 + 2.35600i) q^{72} +(-3.84360 - 1.02989i) q^{73} +(11.7773 + 6.79961i) q^{74} +(5.33462 + 14.2748i) q^{75} +(1.07561 + 4.01424i) q^{76} +(-12.0493 + 8.78288i) q^{77} +(1.55892 - 11.6383i) q^{78} +(1.56958 - 2.71858i) q^{79} +(-12.3803 + 12.3803i) q^{80} +(7.08865 + 5.54536i) q^{81} -12.2638i q^{82} +(5.54824 - 5.54824i) q^{83} +(4.66948 + 5.26311i) q^{84} +(-2.16931 - 0.581265i) q^{85} +(-9.29020 + 2.48930i) q^{86} +(0.0597558 - 0.0724667i) q^{87} -4.92350i q^{88} +(3.52755 - 13.1650i) q^{89} +(-6.82786 + 19.8095i) q^{90} +(1.32240 + 9.44729i) q^{91} +4.19618i q^{92} +(7.75919 + 3.53752i) q^{93} -4.01252 q^{94} +(5.02724 - 8.70744i) q^{95} +(-12.2672 + 1.17927i) q^{96} +(-2.29951 + 8.58188i) q^{97} +(-11.0605 - 7.13424i) q^{98} +(-7.40683 - 15.1982i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9}+O(q^{10}) $ 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9	$ 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9} - 48 q^{12} - 16 q^{13} - 6 q^{15} + 32 q^{16} + 22 q^{18} - 16 q^{19} - 18 q^{21} - 8 q^{22} - 4 q^{24} - 40 q^{27} - 76 q^{28} - 4 q^{31} + 50 q^{33} - 48 q^{34} - 60 q^{36} + 28 q^{37} + 40 q^{39} + 44 q^{40} + 44 q^{42} - 144 q^{43} + 58 q^{45} + 48 q^{46} - 64 q^{48} + 24 q^{49} + 36 q^{51} - 22 q^{54} - 16 q^{55} + 40 q^{57} - 28 q^{58} - 4 q^{60} - 40 q^{61} + 20 q^{63} - 34 q^{66} + 96 q^{67} - 54 q^{69} + 64 q^{70} - 98 q^{72} + 48 q^{73} - 12 q^{75} + 144 q^{76} + 82 q^{78} - 24 q^{79} - 48 q^{81} + 4 q^{84} + 56 q^{85} - 2 q^{87} - 24 q^{91} + 10 q^{93} + 32 q^{94} - 54 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) $ 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9 - 48 * q^12 - 16 * q^13 - 6 * q^15 + 32 * q^16 + 22 * q^18 - 16 * q^19 - 18 * q^21 - 8 * q^22 - 4 * q^24 - 40 * q^27 - 76 * q^28 - 4 * q^31 + 50 * q^33 - 48 * q^34 - 60 * q^36 + 28 * q^37 + 40 * q^39 + 44 * q^40 + 44 * q^42 - 144 * q^43 + 58 * q^45 + 48 * q^46 - 64 * q^48 + 24 * q^49 + 36 * q^51 - 22 * q^54 - 16 * q^55 + 40 * q^57 - 28 * q^58 - 4 * q^60 - 40 * q^61 + 20 * q^63 - 34 * q^66 + 96 * q^67 - 54 * q^69 + 64 * q^70 - 98 * q^72 + 48 * q^73 - 12 * q^75 + 144 * q^76 + 82 * q^78 - 24 * q^79 - 48 * q^81 + 4 * q^84 + 56 * q^85 - 2 * q^87 - 24 * q^91 + 10 * q^93 + 32 * q^94 - 54 * q^96 + 52 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.81619	+	0.486646i	1.28424	+	0.344111i	0.835470	−	0.549537i	$-0.185196\pi$
$2$	1.81619	+	0.486646i	1.28424	+	0.344111i	0.448770	+	0.893647i	$0.351862\pi$
$3$	0.286136	−	1.70825i	0.165201	−	0.986260i
$3$	0.286136	−	1.70825i	0.165201	−	0.986260i
$4$	1.32967	+	0.767683i	0.664833	+	0.383841i
$5$	−0.961410	−	3.58803i	−0.429956	−	1.60462i	−0.752857	−	0.658184i	$-0.771325\pi$
$5$	−0.961410	−	3.58803i	−0.429956	−	1.60462i	0.322902	−	0.946433i	$-0.395342\pi$
$6$	1.35099	−	2.96326i	0.551540	−	1.20975i
$7$	−0.409843	+	2.61381i	−0.154906	+	0.987929i
$7$	−0.409843	+	2.61381i	−0.154906	+	0.987929i
$8$	−0.617751	−	0.617751i	−0.218408	−	0.218408i
$9$	−2.83625	−	0.977586i	−0.945417	−	0.325862i
$10$		−	6.98441i		−	2.20866i
$11$	3.98502	+	3.98502i	1.20153	+	1.20153i	0.973701	+	0.227828i	$0.0731623\pi$
$11$	3.98502	+	3.98502i	1.20153	+	1.20153i	0.227828	+	0.973701i	$0.426838\pi$
$12$	1.69186	−	2.05174i	0.488398	−	0.592287i
$13$	3.45021	−	1.04692i	0.956917	−	0.290362i
$13$	3.45021	−	1.04692i	0.956917	−	0.290362i
$14$	−2.01636	+	4.54773i	−0.538894	+	1.21543i
$15$	−6.40436	+	0.615665i	−1.65360	+	0.158964i
$16$	−2.35669	−	4.08191i	−0.589173	−	1.02048i
$17$	0.302298	−	0.523595i	0.0733180	−	0.126991i	−0.827036	−	0.562150i	$-0.809975\pi$
$17$	0.302298	−	0.523595i	0.0733180	−	0.126991i	0.900354	+	0.435159i	$0.143308\pi$
$18$	−4.67543	−	3.15573i	−1.10201	−	0.743813i
$19$	1.91396	+	1.91396i	0.439092	+	0.439092i	0.891706	−	0.452614i	$-0.149509\pi$
$19$	1.91396	+	1.91396i	0.439092	+	0.439092i	−0.452614	+	0.891706i	$0.649509\pi$
$20$	1.47612	−	5.50894i	0.330070	−	1.23184i
$21$	4.34778	+	1.44802i	0.948764	+	0.315984i
$22$	5.29825	+	9.17685i	1.12959	+	1.95651i
$23$	1.36651	+	2.36686i	0.284937	+	0.493525i	0.972594	−	0.232511i	$-0.0746940\pi$
$23$	1.36651	+	2.36686i	0.284937	+	0.493525i	−0.687657	+	0.726036i	$0.741361\pi$
$24$	−1.23203	+	0.878513i	−0.251488	+	0.179326i
$25$	−7.61953	+	4.39914i	−1.52391	+	0.879828i
$26$	6.77571	−	0.222365i	1.32883	−	0.0436093i
$27$	−2.48152	+	4.56531i	−0.477568	+	0.878595i
$28$	−2.55154	+	3.16087i	−0.482195	+	0.597349i
$29$	0.0469632	+	0.0271142i	0.00872085	+	0.00503499i	0.504354	−	0.863497i	$-0.331731\pi$
$29$	0.0469632	+	0.0271142i	0.00872085	+	0.00503499i	−0.495633	+	0.868532i	$0.665064\pi$
$30$	−11.9311	−	1.99849i	−2.17832	−	0.364873i
$31$	−1.27427	+	4.75563i	−0.228865	+	0.854135i	0.751954	+	0.659215i	$0.229111\pi$
$31$	−1.27427	+	4.75563i	−0.228865	+	0.854135i	−0.980819	+	0.194920i	$0.937555\pi$
$32$	−1.84153	−	6.87267i	−0.325539	−	1.21493i
$33$	7.94768	−	5.66716i	1.38351	−	0.986527i
$34$	0.803836	−	0.803836i	0.137857	−	0.137857i
$35$	9.77248	−	1.04242i	1.65185	−	0.176201i
$36$	−3.02079	−	3.47720i	−0.503465	−	0.579534i
$37$	6.98619	+	1.87195i	1.14852	+	0.307746i	0.782373	−	0.622810i	$-0.214009\pi$
$37$	6.98619	+	1.87195i	1.14852	+	0.307746i	0.366150	+	0.930556i	$0.380676\pi$
$38$	2.54469	+	4.40753i	0.412803	+	0.714996i
$39$	−0.801167	−	6.19339i	−0.128289	−	0.991737i
$40$	−1.62260	+	2.81042i	−0.256555	+	0.444367i
$41$	−1.68812	−	6.30015i	−0.263640	−	0.983919i	−0.963077	−	0.269225i	$-0.913233\pi$
$41$	−1.68812	−	6.30015i	−0.263640	−	0.983919i	0.699437	−	0.714694i	$-0.253434\pi$
$42$	7.19172	+	4.74571i	1.10971	+	0.732280i
$43$	−4.42991	+	2.55761i	−0.675554	+	0.390031i	−0.798178	−	0.602422i	$-0.794203\pi$
$43$	−4.42991	+	2.55761i	−0.675554	+	0.390031i	0.122624	+	0.992453i	$0.460869\pi$
$44$	2.23951	+	8.35798i	0.337619	+	1.26001i
$45$	−0.780806	+	11.1164i	−0.116396	+	1.65714i
$46$	1.33001	+	4.96368i	0.196100	+	0.731854i
$47$	−2.06131	+	0.552327i	−0.300673	+	0.0805651i	−0.406002	−	0.913872i	$-0.633077\pi$
$47$	−2.06131	+	0.552327i	−0.300673	+	0.0805651i	0.105329	+	0.994437i	$0.466411\pi$
$48$	−7.64727	+	2.85784i	−1.10379	+	0.412494i
$49$	−6.66406	−	2.14251i	−0.952008	−	0.306072i
$50$	−15.9793	+	4.28165i	−2.25982	+	0.605517i
$51$	−0.807935	−	0.666221i	−0.113134	−	0.0932896i
$52$	5.39133	+	1.25662i	0.747643	+	0.174262i
$53$	−1.33418	+	0.770286i	−0.183263	+	0.105807i	−0.588825	−	0.808261i	$-0.700409\pi$
$53$	−1.33418	+	0.770286i	−0.183263	+	0.105807i	0.405562	+	0.914068i	$0.367076\pi$
$54$	−6.72860	+	7.08385i	−0.915646	+	0.963989i
$55$	10.4671	−	18.1296i	1.41139	−	2.44460i
$56$	1.86787	−	1.36151i	0.249604	−	0.181939i
$57$	3.81718	−	2.72187i	0.505597	−	0.360521i
$58$	0.0720991	+	0.0720991i	0.00946707	+	0.00946707i
$59$	−10.0446	+	2.69143i	−1.30769	+	0.350395i	−0.844353	−	0.535787i	$-0.820015\pi$
$59$	−10.0446	+	2.69143i	−1.30769	+	0.350395i	−0.463338	+	0.886182i	$0.653348\pi$
$60$	−8.98829	−	4.09789i	−1.16038	−	0.529035i
$61$	1.09112			0.139704			0.0698519	−	0.997557i	$-0.477747\pi$
$61$	1.09112			0.139704			0.0698519	+	0.997557i	$0.477747\pi$
$62$	−4.62861	+	8.01700i	−0.587835	+	1.01816i
$63$	3.71765	−	7.01278i	0.468379	−	0.883527i
$64$		−	3.95146i		−	0.493933i
$65$	−7.07344	−	11.3730i	−0.877352	−	1.41064i
$66$	17.1924	−	6.42493i	2.11624	−	0.790854i
$67$	−3.48337	−	3.48337i	−0.425561	−	0.425561i	0.461552	−	0.887113i	$-0.347293\pi$
$67$	−3.48337	−	3.48337i	−0.425561	−	0.425561i	−0.887113	+	0.461552i	$0.847293\pi$
$68$	0.803911	−	0.464138i	0.0974885	−	0.0562850i
$69$	4.43421	−	1.65710i	0.533816	−	0.199491i
$70$	18.2560	+	2.86251i	2.18200	+	0.342135i
$71$	−2.21785	−	0.594271i	−0.263210	−	0.0705270i	0.124800	−	0.992182i	$-0.460171\pi$
$71$	−2.21785	−	0.594271i	−0.263210	−	0.0705270i	−0.388011	+	0.921655i	$0.626838\pi$
$72$	1.14819	+	2.35600i	0.135316	+	0.277657i
$73$	−3.84360	−	1.02989i	−0.449860	−	0.120540i	0.0267740	−	0.999642i	$-0.491477\pi$
$73$	−3.84360	−	1.02989i	−0.449860	−	0.120540i	−0.476634	+	0.879102i	$0.658143\pi$
$74$	11.7773	+	6.79961i	1.36908	+	0.790439i
$75$	5.33462	+	14.2748i	0.615988	+	1.64832i
$76$	1.07561	+	4.01424i	0.123381	+	0.460465i
$77$	−12.0493	+	8.78288i	−1.37315	+	1.00090i
$78$	1.55892	−	11.6383i	0.176513	−	1.31777i
$79$	1.56958	−	2.71858i	0.176591	−	0.305865i	−0.764120	−	0.645074i	$-0.776826\pi$
$79$	1.56958	−	2.71858i	0.176591	−	0.305865i	0.940711	+	0.339210i	$0.110160\pi$
$80$	−12.3803	+	12.3803i	−1.38416	+	1.38416i
$81$	7.08865	+	5.54536i	0.787628	+	0.616151i
$82$		−	12.2638i		−	1.35431i
$83$	5.54824	−	5.54824i	0.608999	−	0.608999i	−0.333686	−	0.942684i	$-0.608292\pi$
$83$	5.54824	−	5.54824i	0.608999	−	0.608999i	0.942684	+	0.333686i	$0.108292\pi$
$84$	4.66948	+	5.26311i	0.509482	+	0.574252i
$85$	−2.16931	−	0.581265i	−0.235295	−	0.0630470i
$86$	−9.29020	+	2.48930i	−1.00179	+	0.268428i
$87$	0.0597558	−	0.0724667i	0.00640650	−	0.00776925i
$88$		−	4.92350i		−	0.524847i
$89$	3.52755	−	13.1650i	0.373920	−	1.39549i	−0.480997	−	0.876722i	$-0.659725\pi$
$89$	3.52755	−	13.1650i	0.373920	−	1.39549i	0.854917	−	0.518765i	$-0.173608\pi$
$90$	−6.82786	+	19.8095i	−0.719719	+	2.08811i
$91$	1.32240	+	9.44729i	0.138625	+	0.990345i
$92$			4.19618i			0.437482i
$93$	7.75919	+	3.53752i	0.804591	+	0.366824i
$94$	−4.01252			−0.413860
$95$	5.02724	−	8.70744i	0.515784	−	0.893365i
$96$	−12.2672	+	1.17927i	−1.25201	+	0.120359i
$97$	−2.29951	+	8.58188i	−0.233480	+	0.871358i	0.745348	+	0.666675i	$0.232283\pi$
$97$	−2.29951	+	8.58188i	−0.233480	+	0.871358i	−0.978828	+	0.204683i	$0.934384\pi$
$98$	−11.0605	−	7.13424i	−1.11728	−	0.720667i
$99$	−7.40683	−	15.1982i	−0.744414	−	1.52748i
$100$	−13.5086			−1.35086
$101$	−4.54783			−0.452526			−0.226263	−	0.974066i	$-0.572651\pi$
$101$	−4.54783			−0.452526			−0.226263	+	0.974066i	$0.572651\pi$
$102$	−1.14315	−	1.60316i	−0.113189	−	0.158737i
$103$	5.96503	+	3.44391i	0.587752	+	0.339339i	0.764208	−	0.644970i	$-0.223130\pi$
$103$	5.96503	+	3.44391i	0.587752	+	0.339339i	−0.176456	+	0.984309i	$0.556463\pi$
$104$	−2.77810	−	1.48464i	−0.272416	−	0.145581i
$105$	1.01554	−	16.9921i	0.0991070	−	1.65826i
$106$	−2.79797	+	0.749714i	−0.271763	+	0.0728187i
$107$	6.51100	−	3.75912i	0.629442	−	0.363408i	−0.151094	−	0.988519i	$-0.548280\pi$
$107$	6.51100	−	3.75912i	0.629442	−	0.363408i	0.780536	+	0.625111i	$0.214946\pi$
$108$	−6.80430	+	4.16532i	−0.654744	+	0.400808i
$109$	−2.08824	+	7.79340i	−0.200017	+	0.746473i	0.790894	+	0.611953i	$0.209616\pi$
$109$	−2.08824	+	7.79340i	−0.200017	+	0.746473i	−0.990911	+	0.134520i	$0.957051\pi$
$110$	27.8330	−	27.8330i	2.65377	−	2.65377i
$111$	5.19676	−	11.3986i	0.493254	−	1.08190i
$112$	11.6352	−	4.48701i	1.09943	−	0.423983i
$113$	−15.8638	+	9.15899i	−1.49234	+	0.861605i	−0.999962	−	0.00877367i	$-0.997207\pi$
$113$	−15.8638	+	9.15899i	−1.49234	+	0.861605i	−0.492383	+	0.870379i	$0.663874\pi$
$114$	8.25730	−	3.08582i	0.773367	−	0.289013i
$115$	7.17861	−	7.17861i	0.669408	−	0.669408i
$116$	0.0416303	+	0.0721058i	0.00386527	+	0.00669485i
$117$	−10.8091	−	0.403559i	−0.999304	−	0.0373090i
$118$	−19.5526			−1.79996
$119$	1.24469	+	1.00474i	0.114100	+	0.0921046i
$120$	4.33662	+	3.57597i	0.395878	+	0.326440i
$121$			20.7608i			1.88734i
$122$	1.98168	+	0.530990i	0.179413	+	0.0480736i
$123$	−11.2453	+	1.08103i	−1.01395	+	0.0974736i
$124$	−5.34516	+	5.34516i	−0.480010	+	0.480010i
$125$	9.97664	+	9.97664i	0.892338	+	0.892338i
$126$	10.1647	−	10.9274i	0.905543	−	0.973486i
$127$	3.36991	+	1.94562i	0.299031	+	0.172646i	0.642008	−	0.766698i	$-0.278102\pi$
$127$	3.36991	+	1.94562i	0.299031	+	0.172646i	−0.342976	+	0.939344i	$0.611435\pi$
$128$	−1.76009	+	6.56873i	−0.155571	+	0.580599i
$129$	3.10148	+	8.29922i	0.273070	+	0.730706i
$130$	−7.31209	−	24.0977i	−0.641313	−	2.11351i
$131$	1.02275	+	0.590485i	0.0893580	+	0.0515909i	0.544013	−	0.839077i	$-0.316904\pi$
$131$	1.02275	+	0.590485i	0.0893580	+	0.0515909i	−0.454655	+	0.890668i	$0.650237\pi$
$132$	14.9183	−	1.43413i	1.29848	−	0.124825i
$133$	−5.78716	+	4.21831i	−0.501810	+	0.365774i
$134$	−4.63129	−	8.02162i	−0.400082	−	0.692963i
$135$	18.7662	+	4.51463i	1.61514	+	0.388557i
$136$	−0.510196	+	0.136707i	−0.0437490	+	0.0117225i
$137$	−4.98201	+	1.33493i	−0.425642	+	0.114050i	−0.465280	−	0.885164i	$-0.654046\pi$
$137$	−4.98201	+	1.33493i	−0.425642	+	0.114050i	0.0396377	+	0.999214i	$0.487380\pi$
$138$	8.85978	−	0.851711i	0.754194	−	0.0725024i
$139$	−4.97965	−	8.62500i	−0.422368	−	0.731563i	0.573803	−	0.818994i	$-0.305468\pi$
$139$	−4.97965	−	8.62500i	−0.422368	−	0.731563i	−0.996171	+	0.0874308i	$0.972134\pi$
$140$	13.7944	+	6.11609i	1.16584	+	0.516904i
$141$	0.353698	+	3.67928i	0.0297867	+	0.309851i
$142$	−3.73883	−	2.15862i	−0.313756	−	0.181147i
$143$	17.9212	+	9.57719i	1.49864	+	0.800885i
$144$	2.69376	+	13.8812i	0.224480	+	1.15677i
$145$	0.0521358	−	0.194573i	0.00432964	−	0.0161584i
$146$	−6.47952	−	3.74095i	−0.536249	−	0.309603i
$147$	−5.56677	+	10.7708i	−0.459139	+	0.888364i
$148$	7.85224	+	7.85224i	0.645450	+	0.645450i
$149$	12.5963	−	12.5963i	1.03193	−	1.03193i	0.0324538	−	0.999473i	$-0.489668\pi$
$149$	12.5963	−	12.5963i	1.03193	−	1.03193i	0.999473	−	0.0324538i	$-0.0103322\pi$
$150$	2.74187	+	28.5219i	0.223873	+	2.32880i
$151$	9.43241	+	2.52741i	0.767598	+	0.205677i	0.621310	−	0.783565i	$-0.286601\pi$
$151$	9.43241	+	2.52741i	0.767598	+	0.205677i	0.146288	+	0.989242i	$0.453267\pi$
$152$		−	2.36470i		−	0.191802i
$153$	−1.36925	+	1.18953i	−0.110698	+	0.0961675i
$154$	−26.1580	+	10.0876i	−2.10787	+	0.812881i
$155$	18.2884			1.46896
$156$	3.68928	−	8.85019i	0.295379	−	0.708582i
$157$	9.09434	+	15.7519i	0.725807	+	1.25714i	0.958641	+	0.284618i	$0.0918669\pi$
$157$	9.09434	+	15.7519i	0.725807	+	1.25714i	−0.232834	+	0.972517i	$0.574800\pi$
$158$	4.17363	−	4.17363i	0.332036	−	0.332036i
$159$	0.934088	+	2.49951i	0.0740780	+	0.198224i
$160$	−22.8889	+	13.2149i	−1.80953	+	1.04473i
$161$	−6.74660	+	2.60176i	−0.531706	+	0.205047i
$162$	10.1757	+	13.5211i	0.799479	+	1.06232i
$163$	11.7236	−	11.7236i	0.918267	−	0.918267i	−0.0786366	−	0.996903i	$-0.525057\pi$
$163$	11.7236	−	11.7236i	0.918267	−	0.918267i	0.996903	+	0.0786366i	$0.0250567\pi$
$164$	2.59188	−	9.67304i	0.202392	−	0.755338i
$165$	−27.9749	−	23.0681i	−2.17785	−	1.79585i
$166$	12.7767	−	7.37662i	0.991663	−	0.572537i
$167$	8.07090	−	2.16259i	0.624545	−	0.167346i	0.0673521	−	0.997729i	$-0.478545\pi$
$167$	8.07090	−	2.16259i	0.624545	−	0.167346i	0.557193	+	0.830383i	$0.311878\pi$
$168$	−1.79133	−	3.58036i	−0.138204	−	0.276231i
$169$	10.8079	−	7.22417i	0.831379	−	0.555705i
$170$	−3.65700	−	2.11137i	−0.280479	−	0.161935i
$171$	−3.55741	−	7.29953i	−0.272042	−	0.558209i
$172$	−7.85373			−0.598841
$173$	−23.6797			−1.80034			−0.900168	−	0.435543i	$-0.856556\pi$
$173$	−23.6797			−1.80034			−0.900168	+	0.435543i	$0.856556\pi$
$174$	0.143794	−	0.102533i	0.0109010	−	0.00777302i
$175$	−8.37573	−	21.7190i	−0.633145	−	1.64180i
$176$	6.87503	−	25.6580i	0.518225	−	1.93404i
$177$	1.72353	+	17.9288i	0.129549	+	1.34761i
$178$	12.8134	−	22.1935i	0.960405	−	1.66347i
$179$	−1.31480			−0.0982724			−0.0491362	−	0.998792i	$-0.515647\pi$
$179$	−1.31480			−0.0982724			−0.0491362	+	0.998792i	$0.515647\pi$
$180$	−9.57210	+	14.1817i	−0.713462	+	1.05704i
$181$		−	1.12412i		−	0.0835548i	−0.999127	−	0.0417774i	$-0.986698\pi$
$181$		−	1.12412i		−	0.0835548i	0.999127	−	0.0417774i	$-0.0133020\pi$
$182$	−2.19576	+	17.8016i	−0.162760	+	1.31954i
$183$	0.312209	−	1.86391i	0.0230792	−	0.137784i
$184$	0.617970	−	2.30629i	0.0455573	−	0.170022i
$185$		−	26.8664i		−	1.97526i
$186$	12.3706	+	10.2008i	0.907059	+	0.747959i
$187$	3.29120	−	0.881875i	0.240677	−	0.0644891i
$188$	−3.16487	−	0.848023i	−0.230822	−	0.0618485i
$189$	−10.9158	−	8.35729i	−0.794011	−	0.607903i
$190$	13.3679	−	13.3679i	0.969807	−	0.969807i
$191$			18.0795i			1.30819i	0.756413	+	0.654094i	$0.226950\pi$
$191$			18.0795i			1.30819i	−0.756413	+	0.654094i	$0.773050\pi$
$192$	−6.75010	−	1.13066i	−0.487146	−	0.0815981i
$193$	15.6809	−	15.6809i	1.12874	−	1.12874i	0.138356	−	0.990383i	$-0.455818\pi$
$193$	15.6809	−	15.6809i	1.12874	−	1.12874i	0.990383	−	0.138356i	$-0.0441820\pi$
$194$	−8.35268	+	14.4673i	−0.599688	+	1.03869i
$195$	−21.4518	+	8.82900i	−1.53620	+	0.632258i
$196$	−7.21620	−	7.96470i	−0.515443	−	0.568907i
$197$	−0.0595601	−	0.222281i	−0.00424348	−	0.0158369i	0.963772	−	0.266729i	$-0.0859428\pi$
$197$	−0.0595601	−	0.222281i	−0.00424348	−	0.0158369i	−0.968015	+	0.250892i	$0.919276\pi$
$198$	−6.05603	−	31.2073i	−0.430384	−	2.21781i
$199$	−17.5499	−	10.1325i	−1.24408	−	0.718271i	−0.274160	−	0.961684i	$-0.588400\pi$
$199$	−17.5499	−	10.1325i	−1.24408	−	0.718271i	−0.969923	+	0.243413i	$0.921733\pi$
$200$	7.42454	+	1.98940i	0.524995	+	0.140672i
$201$	−6.94719	+	4.95376i	−0.490017	+	0.349411i
$202$	−8.25972	−	2.21319i	−0.581152	−	0.155719i
$203$	−0.0901191	+	0.111641i	−0.00632512	+	0.00783564i
$204$	−0.562837	−	1.50609i	−0.0394065	−	0.105447i
$205$	−20.9822	+	12.1141i	−1.46546	+	0.846083i
$206$	9.15766	+	9.15766i	0.638044	+	0.638044i
$207$	−1.56195	−	8.04890i	−0.108563	−	0.559437i
$208$	−12.4045	−	11.6162i	−0.860098	−	0.805438i
$209$			15.2543i			1.05516i
$210$	10.1136	−	30.3667i	0.697903	−	2.09550i
$211$	−8.83977	+	15.3109i	−0.608555	+	1.05405i	0.382924	+	0.923780i	$0.374917\pi$
$211$	−8.83977	+	15.3109i	−0.608555	+	1.05405i	−0.991479	+	0.130268i	$0.958416\pi$
$212$	−2.36534			−0.162452
$213$	−1.64977	+	3.61860i	−0.113040	+	0.247943i
$214$	13.6546	−	3.65873i	0.933406	−	0.250106i
$215$	13.4357	+	13.4357i	0.916309	+	0.916309i
$216$	4.35318	−	1.28727i	0.296197	−	0.0875873i
$217$	−11.9081	−	5.27975i	−0.808373	−	0.358413i
$218$	−7.58526	+	13.1381i	−0.513739	+	0.889822i
$219$	−2.85911	+	6.27116i	−0.193201	+	0.423765i
$220$	27.8356	−	16.0709i	1.87668	−	1.08350i
$221$	0.494832	−	2.12300i	0.0332860	−	0.142808i
$222$	14.9854	−	18.1729i	1.00575	−	1.21969i
$223$	6.32579	−	1.69499i	0.423606	−	0.113505i	−0.0407172	−	0.999171i	$-0.512964\pi$
$223$	6.32579	−	1.69499i	0.423606	−	0.113505i	0.464323	+	0.885666i	$0.346298\pi$
$224$	18.7186	−	1.99669i	1.25069	−	0.133410i
$225$	25.9115	−	5.02832i	1.72743	−	0.335222i
$226$	−33.2689	+	8.91438i	−2.21301	+	0.592975i
$227$	−3.87153	−	14.4487i	−0.256962	−	0.958996i	−0.966988	−	0.254821i	$-0.917983\pi$
$227$	−3.87153	−	14.4487i	−0.256962	−	0.958996i	0.710026	−	0.704176i	$-0.248683\pi$
$228$	7.16510	−	0.688798i	0.474521	−	0.0456167i
$229$	−0.716084	−	2.67246i	−0.0473202	−	0.176601i	0.938221	−	0.346036i	$-0.112472\pi$
$229$	−0.716084	−	2.67246i	−0.0473202	−	0.176601i	−0.985541	+	0.169435i	$0.945806\pi$
$230$	16.5311	−	9.54426i	1.09003	−	0.629330i
$231$	11.5556	+	23.0964i	0.760304	+	1.51963i
$232$	−0.0122617	−	0.0457614i	−0.000805022	−	0.00300438i
$233$	−0.617770	+	1.07001i	−0.0404715	+	0.0700987i	−0.885552	−	0.464541i	$-0.846219\pi$
$233$	−0.617770	+	1.07001i	−0.0404715	+	0.0700987i	0.845080	+	0.534640i	$0.179553\pi$
$234$	−19.4350	−	5.99316i	−1.27051	−	0.391785i
$235$	3.96353	+	6.86504i	0.258552	+	0.447826i
$236$	−15.4221	−	4.13233i	−1.00389	−	0.268992i
$237$	−4.19492	−	3.45912i	−0.272489	−	0.224694i
$238$	1.77163	+	2.43053i	0.114838	+	0.157548i
$239$	−16.3133	+	16.3133i	−1.05522	+	1.05522i	−0.0568334	+	0.998384i	$0.518100\pi$
$239$	−16.3133	+	16.3133i	−1.05522	+	1.05522i	−0.998384	+	0.0568334i	$0.981900\pi$
$240$	17.6062	+	24.6911i	1.13647	+	1.59380i
$241$	−3.86814	−	14.4361i	−0.249169	−	0.929910i	−0.971242	−	0.238094i	$-0.923477\pi$
$241$	−3.86814	−	14.4361i	−0.249169	−	0.929910i	0.722074	−	0.691816i	$-0.243189\pi$
$242$	−10.1032	+	37.7055i	−0.649456	+	2.42380i
$243$	11.5012	−	10.5225i	0.737802	−	0.675017i
$244$	1.45083	+	0.837636i	0.0928797	+	0.0536241i
$245$	−1.28049	+	25.9707i	−0.0818074	+	1.65921i
$246$	−20.9496	−	3.50911i	−1.33570	−	0.223733i
$247$	8.60732	+	4.59981i	0.547671	+	0.292679i
$248$	3.72497	−	2.15061i	0.236536	−	0.136564i
$249$	−7.89025	−	11.0654i	−0.500024	−	0.701238i
$250$	13.2644	+	22.9746i	0.838912	+	1.45304i
$251$	−7.72730	−	13.3841i	−0.487743	−	0.844796i	0.512158	−	0.858891i	$-0.328846\pi$
$251$	−7.72730	−	13.3841i	−0.487743	−	0.844796i	−0.999901	+	0.0140958i	$0.995513\pi$
$252$	10.3268	−	6.47068i	0.650528	−	0.407615i
$253$	−3.98643	+	14.8776i	−0.250625	+	0.935345i
$254$	5.17357	+	5.17357i	0.324619	+	0.324619i
$255$	−1.61366	+	3.53941i	−0.101052	+	0.221646i
$256$	−10.3448	+	17.9176i	−0.646547	+	1.11985i
$257$	4.26915	+	7.39439i	0.266302	+	0.461249i	0.967904	−	0.251320i	$-0.0808647\pi$
$257$	4.26915	+	7.39439i	0.266302	+	0.461249i	−0.701602	+	0.712569i	$0.747531\pi$
$258$	1.59409	+	16.5823i	0.0992438	+	1.03237i
$259$	−7.75616	+	17.4934i	−0.481944	+	1.08699i
$260$	−0.674487	−	20.5524i	−0.0418299	−	1.27460i
$261$	−0.106693	−	0.122813i	−0.00660414	−	0.00760196i
$262$	1.57015	+	1.57015i	0.0970041	+	0.0970041i
$263$			12.5947i			0.776622i	0.921528	+	0.388311i	$0.126941\pi$
$263$			12.5947i			0.776622i	−0.921528	+	0.388311i	$0.873059\pi$
$264$	−8.41058	−	1.40879i	−0.517635	−	0.0867051i
$265$	4.04650	+	4.04650i	0.248575	+	0.248575i
$266$	−12.5634	+	4.84495i	−0.770311	+	0.297063i
$267$	−21.4798	−	9.79293i	−1.31454	−	0.599318i
$268$	−1.95759	−	7.30584i	−0.119579	−	0.446275i
$269$	14.4032	+	8.31568i	0.878177	+	0.507016i	0.870057	−	0.492951i	$-0.164082\pi$
$269$	14.4032	+	8.31568i	0.878177	+	0.507016i	0.00812013	+	0.999967i	$0.497415\pi$
$270$	31.8860	+	17.3319i	1.94052	+	1.05479i
$271$	−22.6010	−	6.05592i	−1.37291	−	0.367871i	−0.504372	−	0.863487i	$-0.668276\pi$
$271$	−22.6010	−	6.05592i	−1.37291	−	0.367871i	−0.868542	+	0.495615i	$0.834943\pi$
$272$	−2.84969			−0.172788
$273$	16.5167	+	0.444216i	0.999639	+	0.0268852i
$274$	−9.69791			−0.585872
$275$	−47.8947	−	12.8333i	−2.88816	−	0.773879i
$276$	7.16814	+	1.20068i	0.431471	+	0.0722724i
$277$	16.3393	+	9.43349i	0.981733	+	0.566804i	0.902793	−	0.430076i	$-0.141513\pi$
$277$	16.3393	+	9.43349i	0.981733	+	0.566804i	0.0789401	+	0.996879i	$0.474846\pi$
$278$	−4.84665	−	18.0880i	−0.290683	−	1.08484i
$279$	8.26317	−	12.2424i	0.494703	−	0.732936i
$280$	−6.68091	−	5.39300i	−0.399261	−	0.322293i
$281$	−6.51031	−	6.51031i	−0.388372	−	0.388372i	0.485734	−	0.874107i	$-0.338552\pi$
$281$	−6.51031	−	6.51031i	−0.388372	−	0.388372i	−0.874107	+	0.485734i	$0.838552\pi$
$282$	−1.14813	+	6.85439i	−0.0683699	+	0.408173i
$283$			8.89153i			0.528547i	0.964448	+	0.264273i	$0.0851321\pi$
$283$			8.89153i			0.528547i	−0.964448	+	0.264273i	$0.914868\pi$
$284$	−2.49279	−	2.49279i	−0.147920	−	0.147920i
$285$	−13.4360	−	11.0793i	−0.795882	−	0.656282i
$286$	27.8875	+	26.1152i	1.64902	+	1.54423i
$287$	17.1593	−	1.83036i	1.01288	−	0.108043i
$288$	−1.49559	+	21.2929i	−0.0881285	+	1.25469i
$289$	8.31723	+	14.4059i	0.489249	+	0.847404i
$290$	0.189377	−	0.328010i	0.0111206	−	0.0192614i
$291$	14.0021	+	6.38373i	0.820815	+	0.374221i
$292$	−4.32008	−	4.32008i	−0.252814	−	0.252814i
$293$	−2.28161	+	8.51510i	−0.133293	+	0.497458i	−0.999999	−	0.00136224i	$-0.999566\pi$
$293$	−2.28161	+	8.51510i	−0.133293	+	0.497458i	0.866706	+	0.498820i	$0.166233\pi$
$294$	−15.3519	+	16.8528i	−0.895341	+	0.982877i
$295$	19.3139	+	33.4526i	1.12450	+	1.94769i
$296$	−3.15933	−	5.47212i	−0.183632	−	0.318061i
$297$	−28.0818	+	8.30397i	−1.62947	+	0.481845i
$298$	29.0071	−	16.7473i	1.68034	−	0.970144i
$299$	7.19266	+	6.73556i	0.415962	+	0.389528i
$300$	−3.86529	+	23.0761i	−0.223163	+	1.33230i
$301$	−4.86955	−	12.6272i	−0.280676	−	0.727818i
$302$	15.9011	+	9.18049i	0.915004	+	0.528278i
$303$	−1.30130	+	7.76884i	−0.0747577	+	0.446308i
$304$	3.30200	−	12.3232i	0.189382	−	0.706785i
$305$	−1.04902	−	3.91498i	−0.0600664	−	0.224171i
$306$	−3.06570	+	1.49406i	−0.175254	+	0.0854099i
$307$	−12.3916	+	12.3916i	−0.707226	+	0.707226i	−0.965951	−	0.258725i	$-0.916698\pi$
$307$	−12.3916	+	12.3916i	−0.707226	+	0.707226i	0.258725	+	0.965951i	$0.416698\pi$
$308$	−22.7641	+	2.42822i	−1.29710	+	0.138361i
$309$	7.58989	−	9.20435i	0.431773	−	0.523617i
$310$	33.2152	+	8.89999i	1.88650	+	0.505486i
$311$	−12.6937	−	21.9862i	−0.719796	−	1.24672i	−0.961081	−	0.276268i	$-0.910902\pi$
$311$	−12.6937	−	21.9862i	−0.719796	−	1.24672i	0.241285	−	0.970454i	$-0.422431\pi$
$312$	−3.33105	+	4.32090i	−0.188584	+	0.244623i
$313$	9.40956	−	16.2978i	0.531860	−	0.921208i	−0.467449	−	0.884020i	$-0.654827\pi$
$313$	9.40956	−	16.2978i	0.531860	−	0.921208i	0.999308	−	0.0371877i	$-0.0118399\pi$
$314$	8.85145	+	33.0341i	0.499516	+	1.86422i
$315$	−28.7363	−	6.59687i	−1.61911	−	0.371692i
$316$	4.17402	−	2.40987i	0.234807	−	0.135566i
$317$	−3.22403	−	12.0323i	−0.181080	−	0.675799i	−0.995436	−	0.0954331i	$-0.969576\pi$
$317$	−3.22403	−	12.0323i	−0.181080	−	0.675799i	0.814356	−	0.580365i	$-0.197090\pi$
$318$	0.480100	+	4.99416i	0.0269227	+	0.280059i
$319$	0.0790987	+	0.295200i	0.00442868	+	0.0165280i
$320$	−14.1780	+	3.79898i	−0.792573	+	0.212369i
$321$	−4.55850	−	12.1980i	−0.254431	−	0.680828i
$322$	−13.5192	+	1.44208i	−0.753397	+	0.0803640i
$323$	1.58073	−	0.423554i	0.0879539	−	0.0235672i
$324$	5.16846	+	12.8153i	0.287137	+	0.711962i
$325$	−21.6835	+	23.1550i	−1.20278	+	1.28441i
$326$	26.9976	−	15.5871i	1.49526	−	0.863289i
$327$	12.7156	+	5.79721i	0.703173	+	0.320586i
$328$	−2.84909	+	4.93476i	−0.157315	+	0.272477i
$329$	−0.598866	−	5.61425i	−0.0330165	−	0.309524i
$330$	−39.5818	−	55.5099i	−2.17891	−	3.05572i
$331$	−22.0267	−	22.0267i	−1.21070	−	1.21070i	−0.970797	−	0.239901i	$-0.922885\pi$
$331$	−22.0267	−	22.0267i	−1.21070	−	1.21070i	−0.239901	−	0.970797i	$-0.577115\pi$
$332$	11.6366	−	3.11802i	0.638641	−	0.171123i
$333$	−17.9846	−	12.1389i	−0.985551	−	0.665208i
$334$	15.7107			0.859651
$335$	−9.14949	+	15.8474i	−0.499890	+	0.865835i
$336$	−4.33569	−	21.1598i	−0.236531	−	1.15436i
$337$		−	26.6167i		−	1.44991i	−0.688799	−	0.724953i	$-0.741862\pi$
$337$		−	26.6167i		−	1.44991i	0.688799	−	0.724953i	$-0.258138\pi$
$338$	23.1449	−	7.86081i	1.25891	−	0.427572i
$339$	11.1066	+	29.7202i	0.603230	+	1.61418i
$340$	−2.43823	−	2.43823i	−0.132232	−	0.132232i
$341$	−24.0292	+	13.8733i	−1.30126	+	0.751281i
$342$	−2.90864	−	14.9885i	−0.157281	−	0.810486i
$343$	8.33133	−	16.5405i	0.449850	−	0.893104i
$344$	4.31654	+	1.15661i	0.232732	+	0.0623604i
$345$	−10.2088	−	14.3169i	−0.549624	−	0.770798i
$346$	−43.0068	−	11.5236i	−2.31206	−	0.619515i
$347$	0.189978	+	0.109684i	0.0101985	+	0.00588813i	0.505091	−	0.863066i	$-0.331459\pi$
$347$	0.189978	+	0.109684i	0.0101985	+	0.00588813i	−0.494892	+	0.868954i	$0.664792\pi$
$348$	0.135087	−	0.0504830i	0.00724141	−	0.00270617i
$349$	0.844625	+	3.15218i	0.0452117	+	0.168733i	0.984840	−	0.173464i	$-0.0554959\pi$
$349$	0.844625	+	3.15218i	0.0452117	+	0.168733i	−0.939629	+	0.342196i	$0.888829\pi$
$350$	−4.64242	−	43.5218i	−0.248148	−	2.32634i
$351$	−3.78226	+	18.3492i	−0.201882	+	0.979410i
$352$	20.0492	−	34.7262i	1.06863	−	1.85092i
$353$	−8.36347	+	8.36347i	−0.445143	+	0.445143i	−0.893736	−	0.448593i	$-0.851925\pi$
$353$	−8.36347	+	8.36347i	−0.445143	+	0.445143i	0.448593	+	0.893736i	$0.351925\pi$
$354$	−5.59471	+	33.4008i	−0.297355	+	1.77523i
$355$			8.52905i			0.452675i
$356$	14.7970	−	14.7970i	0.784240	−	0.784240i
$357$	2.07250	−	1.83875i	0.109689	−	0.0973168i
$358$	−2.38792	−	0.639840i	−0.126205	−	0.0338166i
$359$	34.0784	−	9.13128i	1.79859	−	0.481930i	0.804833	−	0.593502i	$-0.202255\pi$
$359$	34.0784	−	9.13128i	1.79859	−	0.481930i	0.993756	+	0.111572i	$0.0355884\pi$
$360$	7.34952	−	6.38483i	0.387354	−	0.336510i
$361$		−	11.6735i		−	0.614396i
$362$	0.547046	−	2.04161i	0.0287521	−	0.107304i
$363$	35.4647	+	5.94041i	1.86141	+	0.311791i
$364$	−5.49417	+	13.5769i	−0.287973	+	0.711624i
$365$			14.7811i			0.773679i
$366$	1.47410	−	3.23328i	0.0770523	−	0.169006i
$367$	−2.31480			−0.120831			−0.0604157	−	0.998173i	$-0.519243\pi$
$367$	−2.31480			−0.120831			−0.0604157	+	0.998173i	$0.519243\pi$
$368$	6.44088	−	11.1559i	0.335754	−	0.581543i
$369$	−1.37100	+	19.5191i	−0.0713716	+	1.01612i
$370$	13.0744	−	48.7944i	0.679707	−	2.53670i
$371$	−1.46658	−	3.80298i	−0.0761412	−	0.197441i
$372$	7.60144	+	10.6603i	0.394116	+	0.552712i
$373$	−12.8180			−0.663691			−0.331845	−	0.943334i	$-0.607671\pi$
$373$	−12.8180			−0.663691			−0.331845	+	0.943334i	$0.607671\pi$
$374$	6.40661			0.331278
$375$	19.8973	−	14.1879i	1.02749	−	0.732662i
$376$	1.61458	+	0.932176i	0.0832654	+	0.0480733i
$377$	0.190419	+	0.0443833i	0.00980710	+	0.00228586i
$378$	−15.7582	−	20.4906i	−0.810514	−	1.05392i
$379$	10.4302	−	2.79475i	0.535762	−	0.143557i	0.0192141	−	0.999815i	$-0.493884\pi$
$379$	10.4302	−	2.79475i	0.535762	−	0.143557i	0.516548	+	0.856258i	$0.327217\pi$
$380$	13.3691	−	7.71866i	0.685821	−	0.395959i
$381$	4.28786	−	5.19995i	0.219674	−	0.266401i
$382$	−8.79833	+	32.8358i	−0.450162	+	1.68003i
$383$	−8.39651	+	8.39651i	−0.429042	+	0.429042i	−0.888302	−	0.459260i	$-0.848115\pi$
$383$	−8.39651	+	8.39651i	−0.429042	+	0.429042i	0.459260	+	0.888302i	$0.348115\pi$
$384$	10.7174	+	4.88622i	0.546921	+	0.249349i
$385$	43.0976	+	34.7895i	2.19646	+	1.77304i
$386$	36.1106	−	20.8485i	1.83798	−	1.06116i
$387$	15.0646	−	2.92341i	0.765777	−	0.148605i
$388$	−9.64574	+	9.64574i	−0.489688	+	0.489688i
$389$	−2.91582	−	5.05035i	−0.147838	−	0.256063i	0.782590	−	0.622537i	$-0.213898\pi$
$389$	−2.91582	−	5.05035i	−0.147838	−	0.256063i	−0.930428	+	0.366474i	$0.880565\pi$
$390$	−43.2572	+	5.59568i	−2.19041	+	0.283348i
$391$	1.65237			0.0835641
$392$	2.79319	+	5.44026i	0.141077	+	0.274775i
$393$	1.30134	−	1.57815i	0.0656440	−	0.0796074i
$394$		−	0.432690i		−	0.0217986i
$395$	−11.2634	−	3.01801i	−0.566722	−	0.151853i
$396$	1.81881	−	25.8947i	0.0913989	−	1.30126i
$397$	−3.51401	+	3.51401i	−0.176363	+	0.176363i	−0.789768	−	0.613405i	$-0.789799\pi$
$397$	−3.51401	+	3.51401i	−0.176363	+	0.176363i	0.613405	+	0.789768i	$0.289799\pi$
$398$	−26.9431	−	26.9431i	−1.35053	−	1.35053i
$399$	5.55003	+	11.0929i	0.277849	+	0.555341i
$400$	35.9138	+	20.7348i	1.79569	+	1.03674i
$401$	4.99783	−	18.6522i	0.249580	−	0.931444i	−0.721446	−	0.692470i	$-0.756522\pi$
$401$	4.99783	−	18.6522i	0.249580	−	0.931444i	0.971026	−	0.238974i	$-0.0768110\pi$
$402$	−15.0281	+	5.61613i	−0.749535	+	0.280107i
$403$	0.582254	+	17.7420i	0.0290042	+	0.883790i
$404$	−6.04710	−	3.49129i	−0.300854	−	0.173698i
$405$	13.0818	−	30.7657i	0.650041	−	1.52876i
$406$	−0.218003	+	0.158904i	−0.0108193	+	0.00788629i
$407$	20.3804	+	35.2999i	1.01022	+	1.74975i
$408$	0.0875439	+	0.910661i	0.00433407	+	0.0450844i
$409$	9.87850	−	2.64694i	0.488460	−	0.130883i	−0.00617901	−	0.999981i	$-0.501967\pi$
$409$	9.87850	−	2.64694i	0.488460	−	0.130883i	0.494639	+	0.869098i	$0.335300\pi$
$410$	−44.0029	+	11.7905i	−2.17315	+	0.582293i
$411$	0.854857	+	8.89251i	0.0421670	+	0.438635i
$412$	5.28767	+	9.15851i	0.260505	+	0.451207i
$413$	−2.91821	−	27.3577i	−0.143596	−	1.34618i
$414$	1.08017	−	15.3784i	0.0530873	−	0.755809i
$415$	−25.2414	−	14.5731i	−1.23905	−	0.715367i
$416$	−13.5488	−	21.7842i	−0.664283	−	1.06806i
$417$	−16.1585	+	6.03857i	−0.791287	+	0.295710i
$418$	−7.42346	+	27.7047i	−0.363093	+	1.35508i
$419$	−2.28595	−	1.31979i	−0.111676	−	0.0644761i	0.443122	−	0.896461i	$-0.353871\pi$
$419$	−2.28595	−	1.31979i	−0.111676	−	0.0644761i	−0.554798	+	0.831985i	$0.687204\pi$
$420$	14.3949	−	21.8142i	0.702399	−	1.06443i
$421$	−20.5483	−	20.5483i	−1.00146	−	1.00146i	−0.999999	−	0.00146365i	$-0.999534\pi$
$421$	−20.5483	−	20.5483i	−1.00146	−	1.00146i	−0.00146365	−	0.999999i	$-0.500466\pi$
$422$	−23.5057	+	23.5057i	−1.14424	+	1.14424i
$423$	6.38634	+	0.448570i	0.310515	+	0.0218102i
$424$	1.30003	+	0.348343i	0.0631352	+	0.0169170i
$425$			5.31940i			0.258029i
$426$	−4.75728	+	5.76921i	−0.230491	+	0.279519i
$427$	−0.447188	+	2.85199i	−0.0216410	+	0.138017i
$428$	11.5433			0.557965
$429$	21.4881	−	27.8735i	1.03746	−	1.34574i
$430$	17.8634	+	30.9403i	0.861448	+	1.49207i
$431$	8.94533	−	8.94533i	0.430881	−	0.430881i	−0.458047	−	0.888928i	$-0.651451\pi$
$431$	8.94533	−	8.94533i	0.430881	−	0.430881i	0.888928	+	0.458047i	$0.151451\pi$
$432$	24.4834	−	0.629702i	1.17796	−	0.0302966i
$433$	14.6025	−	8.43076i	0.701751	−	0.405156i	−0.106248	−	0.994340i	$-0.533884\pi$
$433$	14.6025	−	8.43076i	0.701751	−	0.405156i	0.807999	+	0.589183i	$0.200550\pi$
$434$	−19.0579	−	15.3841i	−0.914810	−	0.738458i
$435$	−0.317463	−	0.144736i	−0.0152212	−	0.00693954i
$436$	−8.75952	+	8.75952i	−0.419505	+	0.419505i
$437$	−1.91464	+	7.14552i	−0.0915895	+	0.341817i
$438$	−8.24451	+	9.99823i	−0.393938	+	0.477734i
$439$	17.1994	−	9.93006i	0.820881	−	0.473936i	−0.0298393	−	0.999555i	$-0.509500\pi$
$439$	17.1994	−	9.93006i	0.820881	−	0.473936i	0.850720	+	0.525619i	$0.176166\pi$
$440$	−17.6657	+	4.73350i	−0.842178	+	0.225661i
$441$	16.8065	+	12.5914i	0.800308	+	0.599589i
$442$	1.93186	−	3.61495i	0.0918890	−	0.171946i
$443$	1.78376	+	1.02985i	0.0847488	+	0.0489297i	0.541775	−	0.840523i	$-0.317752\pi$
$443$	1.78376	+	1.02985i	0.0847488	+	0.0489297i	−0.457027	+	0.889453i	$0.651086\pi$
$444$	15.6604	−	11.1668i	0.743211	−	0.529953i
$445$	−50.6279			−2.39999
$446$	12.3137			0.583070
$447$	−17.9134	−	25.1219i	−0.847273	−	1.18822i
$448$	10.3284	+	1.61948i	0.487971	+	0.0765132i
$449$	0.731361	−	2.72948i	0.0345151	−	0.128812i	−0.946519	−	0.322649i	$-0.895427\pi$
$449$	0.731361	−	2.72948i	0.0345151	−	0.128812i	0.981034	+	0.193837i	$0.0620933\pi$
$450$	49.5071	+	3.47733i	2.33379	+	0.163923i
$451$	18.3791	−	31.8334i	0.865436	−	1.49898i
$452$	−28.1248			−1.32288
$453$	7.01640	−	15.3897i	0.329659	−	0.723073i
$454$		−	28.1257i		−	1.32000i
$455$	32.6258	−	13.8275i	1.52952	−	0.648245i
$456$	−4.03950	−	0.676626i	−0.189167	−	0.0316859i
$457$	−1.67840	+	6.26387i	−0.0785122	+	0.293011i	−0.994007	−	0.109319i	$-0.965133\pi$
$457$	−1.67840	+	6.26387i	−0.0785122	+	0.293011i	0.915495	+	0.402330i	$0.131800\pi$
$458$		−	5.20218i		−	0.243082i
$459$	1.64022	+	2.67940i	0.0765589	+	0.125063i
$460$	15.0560	−	4.03425i	0.701991	−	0.188098i
$461$	26.6446	+	7.13940i	1.24096	+	0.332515i	0.818839	−	0.574023i	$-0.194618\pi$
$461$	26.6446	+	7.13940i	1.24096	+	0.332515i	0.422124	+	0.906538i	$0.361285\pi$
$462$	9.74740	+	47.5709i	0.453490	+	2.21320i
$463$	6.97329	−	6.97329i	0.324076	−	0.324076i	−0.526252	−	0.850329i	$-0.676403\pi$
$463$	6.97329	−	6.97329i	0.324076	−	0.324076i	0.850329	+	0.526252i	$0.176403\pi$
$464$		−	0.255600i		−	0.0118659i
$465$	5.23298	−	31.2412i	0.242674	−	1.44878i
$466$	−1.64270	+	1.64270i	−0.0760968	+	0.0760968i
$467$	−17.0379	+	29.5105i	−0.788420	+	1.36558i	0.138514	+	0.990361i	$0.455767\pi$
$467$	−17.0379	+	29.5105i	−0.788420	+	1.36558i	−0.926934	+	0.375224i	$0.877566\pi$
$468$	−14.0627	−	8.83458i	−0.650049	−	0.408379i
$469$	10.5325	−	7.67725i	0.486346	−	0.354502i
$470$	3.85767	+	14.3970i	0.177941	+	0.664086i
$471$	29.5104	−	11.0282i	1.35977	−	0.508155i
$472$	7.86767	+	4.54240i	0.362139	+	0.209081i
$473$	−27.8454	−	7.46115i	−1.28033	−	0.343064i
$474$	−5.93539	−	8.32385i	−0.272622	−	0.382327i
$475$	−23.0032	−	6.16370i	−1.05546	−	0.282810i
$476$	0.883694	+	2.29150i	0.0405040	+	0.105031i
$477$	4.53708	−	0.880456i	0.207739	−	0.0403133i
$478$	−37.5667	+	21.6892i	−1.71826	+	0.992040i
$479$	14.6579	+	14.6579i	0.669738	+	0.669738i	0.957655	−	0.287917i	$-0.0929628\pi$
$479$	14.6579	+	14.6579i	0.669738	+	0.669738i	−0.287917	+	0.957655i	$0.592963\pi$
$480$	16.0251	+	42.8813i	0.731440	+	1.95725i
$481$	26.0636	−	0.855354i	1.18840	−	0.0390008i
$482$		−	28.1011i		−	1.27997i
$483$	2.51402	+	12.2693i	0.114392	+	0.558275i
$484$	−15.9377	+	27.6049i	−0.724441	+	1.25477i
$485$	33.0028			1.49858
$486$	26.0091	−	13.5138i	1.17979	−	0.612998i
$487$	8.34347	−	2.23563i	0.378079	−	0.101306i	−0.0647747	−	0.997900i	$-0.520633\pi$
$487$	8.34347	−	2.23563i	0.378079	−	0.101306i	0.442853	+	0.896594i	$0.353966\pi$
$488$	−0.674041	−	0.674041i	−0.0305124	−	0.0305124i
$489$	−16.6724	−	23.3815i	−0.753951	−	1.05735i
$490$	−14.9641	+	46.5445i	−0.676011	+	2.10267i
$491$	18.2214	−	31.5604i	0.822321	−	1.42430i	−0.0816292	−	0.996663i	$-0.526012\pi$
$491$	18.2214	−	31.5604i	0.822321	−	1.42430i	0.903950	−	0.427638i	$-0.140654\pi$
$492$	−15.7824	−	7.19540i	−0.711524	−	0.324394i
$493$	0.0283938	−	0.0163932i	0.00127879	−	0.000738311i
$494$	13.3940	+	12.5428i	0.602626	+	0.564329i
$495$	−47.4107	+	41.1877i	−2.13095	+	1.85125i
$496$	22.4151	−	6.00610i	1.00647	−	0.269682i
$497$	2.46228	−	5.55349i	0.110448	−	0.249108i
$498$	−8.94526	−	23.9365i	−0.400847	−	1.07262i
$499$	34.7442	−	9.30967i	1.55536	−	0.416758i	0.624171	−	0.781288i	$-0.285437\pi$
$499$	34.7442	−	9.30967i	1.55536	−	0.416758i	0.931192	+	0.364530i	$0.118770\pi$
$500$	5.60670	+	20.9245i	0.250739	+	0.935772i
$501$	−1.38488	−	14.4059i	−0.0618717	−	0.643610i
$502$	−7.52093	−	28.0685i	−0.335675	−	1.25276i
$503$	−11.3014	+	6.52484i	−0.503903	+	0.290928i	−0.730324	−	0.683101i	$-0.760631\pi$
$503$	−11.3014	+	6.52484i	−0.503903	+	0.290928i	0.226421	+	0.974030i	$0.427297\pi$
$504$	−6.62873	+	2.03557i	−0.295267	+	0.0906716i
$505$	4.37233	+	16.3178i	0.194566	+	0.726131i
$506$	−14.4802	+	25.0805i	−0.643725	+	1.11496i
$507$	−9.24816	−	20.5298i	−0.410725	−	0.911759i
$508$	2.98724	+	5.17405i	0.132537	+	0.229561i
$509$	19.1539	+	5.13226i	0.848980	+	0.227484i	0.656977	−	0.753911i	$-0.271835\pi$
$509$	19.1539	+	5.13226i	0.848980	+	0.227484i	0.192003	+	0.981394i	$0.438502\pi$
$510$	−4.65316	+	5.64295i	−0.206045	+	0.249874i
$511$	4.26722	−	9.62438i	0.188771	−	0.425757i
$512$	−17.8903	+	17.8903i	−0.790647	+	0.790647i
$513$	−13.4873	+	3.98830i	−0.595481	+	0.176088i
$514$	4.15513	+	15.5072i	0.183275	+	0.683992i
$515$	6.62203	−	24.7137i	0.291801	−	1.08902i
$516$	−2.24724	+	13.4161i	−0.0989290	+	0.590613i
$517$	−10.4154	−	6.01333i	−0.458069	−	0.264466i
$518$	−22.5998	+	27.9968i	−0.992976	+	1.23011i
$519$	−6.77563	+	40.4509i	−0.297417	+	1.77560i
$520$	−2.65603	+	11.3953i	−0.116475	+	0.499716i
$521$	−34.8757	+	20.1355i	−1.52793	+	0.882151i	−0.528482	+	0.848944i	$0.677239\pi$
$521$	−34.8757	+	20.1355i	−1.52793	+	0.882151i	−0.999448	+	0.0332069i	$0.989428\pi$
$522$	−0.134008	−	0.274974i	−0.00586538	−	0.0120353i
$523$	4.82504	+	8.35721i	0.210984	+	0.365435i	0.952023	−	0.306027i	$-0.0989998\pi$
$523$	4.82504	+	8.35721i	0.210984	+	0.365435i	−0.741039	+	0.671462i	$0.765666\pi$
$524$	0.906610	+	1.57029i	0.0396054	+	0.0685986i
$525$	−39.4981	+	8.09326i	−1.72384	+	0.353219i
$526$	−6.12916	+	22.8743i	−0.267244	+	0.997369i
$527$	2.10482	+	2.10482i	0.0916872	+	0.0916872i
$528$	−41.8631	−	19.0860i	−1.82186	−	0.830610i
$529$	7.76530	−	13.4499i	0.337622	−	0.584778i
$530$	5.37999	+	9.31842i	0.233692	+	0.404766i
$531$	31.1200	+	2.18584i	1.35049	+	0.0948574i
$532$	−10.9333	+	1.16624i	−0.474019	+	0.0505631i
$533$	−12.4201	−	19.9695i	−0.537975	−	0.864977i
$534$	−34.2456	−	28.2389i	−1.48195	−	1.22202i
$535$	−19.7476	−	19.7476i	−0.853763	−	0.853763i
$536$			4.30371i			0.185892i
$537$	−0.376211	+	2.24600i	−0.0162347	+	0.0969222i
$538$	22.1121	+	22.1121i	0.953320	+	0.953320i
$539$	−18.0185	−	35.0943i	−0.776111	−	1.51162i
$540$	21.4870	+	20.4095i	0.924654	+	0.878283i
$541$	−2.80838	−	10.4810i	−0.120742	−	0.450615i	0.878910	−	0.476987i	$-0.158271\pi$
$541$	−2.80838	−	10.4810i	−0.120742	−	0.450615i	−0.999652	+	0.0263722i	$0.991604\pi$
$542$	−38.1006	−	21.9974i	−1.63656	−	0.944869i
$543$	−1.92027	−	0.321650i	−0.0824068	−	0.0138033i
$544$	−4.15519	−	1.11338i	−0.178152	−	0.0477357i
$545$	29.9706			1.28380
$546$	29.7813	+	8.84459i	1.27452	+	0.378514i
$547$	−6.62360			−0.283205			−0.141602	−	0.989924i	$-0.545225\pi$
$547$	−6.62360			−0.283205			−0.141602	+	0.989924i	$0.545225\pi$
$548$	−7.64921	−	2.04960i	−0.326758	−	0.0875546i
$549$	−3.09470	−	1.06666i	−0.132078	−	0.0455241i
$550$	−80.7405	−	46.6155i	−3.44278	−	1.98769i
$551$	0.0379902	+	0.141781i	0.00161844	+	0.00604008i
$552$	−3.76291	−	1.71556i	−0.160160	−	0.0730192i
$553$	6.46260	+	5.21677i	0.274818	+	0.221840i
$554$	25.0845	+	25.0845i	1.06574	+	1.06574i
$555$	−45.8946	−	7.68745i	−1.94812	−	0.326314i
$556$		−	15.2912i		−	0.648489i
$557$	18.0611	+	18.0611i	0.765274	+	0.765274i	0.977271	−	0.211996i	$-0.0679964\pi$
$557$	18.0611	+	18.0611i	0.765274	+	0.765274i	−0.211996	+	0.977271i	$0.567996\pi$
$558$	20.9652	−	18.2134i	0.887528	−	0.771033i
$559$	−12.6065	+	13.4620i	−0.533199	+	0.569383i
$560$	−27.2858	−	37.4337i	−1.15303	−	1.58186i
$561$	−0.564733	−	5.87454i	−0.0238431	−	0.248023i
$562$	−8.65573	−	14.9922i	−0.365120	−	0.632406i
$563$	−16.4562	+	28.5030i	−0.693547	+	1.20126i	0.277121	+	0.960835i	$0.410620\pi$
$563$	−16.4562	+	28.5030i	−0.693547	+	1.20126i	−0.970668	+	0.240423i	$0.922714\pi$
$564$	−2.35422	+	5.16374i	−0.0991306	+	0.217433i
$565$	48.1144	+	48.1144i	2.02419	+	2.02419i
$566$	−4.32703	+	16.1487i	−0.181879	+	0.678780i
$567$	−17.3998	+	16.2557i	−0.730722	+	0.682675i
$568$	1.00297	+	1.73719i	0.0420835	+	0.0728908i
$569$	−5.02854	−	8.70968i	−0.210807	−	0.365129i	0.741160	−	0.671328i	$-0.234276\pi$
$569$	−5.02854	−	8.70968i	−0.210807	−	0.365129i	−0.951967	+	0.306199i	$0.900943\pi$
$570$	−19.0107	−	26.6607i	−0.796269	−	1.11669i
$571$	−6.98744	+	4.03420i	−0.292415	+	0.168826i	−0.639031	−	0.769181i	$-0.720664\pi$
$571$	−6.98744	+	4.03420i	−0.292415	+	0.168826i	0.346615	+	0.938007i	$0.387331\pi$
$572$	16.4769	+	26.4922i	0.688934	+	1.10770i
$573$	30.8844	+	5.17321i	1.29021	+	0.216114i
$574$	32.0553	+	5.02623i	1.33796	+	0.209791i
$575$	−20.8243	−	12.0229i	−0.868434	−	0.501391i
$576$	−3.86290	+	11.2074i	−0.160954	+	0.466973i
$577$	−5.51963	+	20.5995i	−0.229785	+	0.857570i	0.750646	+	0.660705i	$0.229743\pi$
$577$	−5.51963	+	20.5995i	−0.229785	+	0.857570i	−0.980431	+	0.196865i	$0.936924\pi$
$578$	8.09510	+	30.2113i	0.336712	+	1.25663i
$579$	−22.3001	−	31.2739i	−0.926761	−	1.29970i
$580$	0.218694	−	0.218694i	0.00908077	−	0.00908077i
$581$	12.2282	+	16.7760i	0.507310	+	0.695985i
$582$	22.3237	+	18.4081i	0.925349	+	0.763040i
$583$	−8.38632	−	2.24711i	−0.347326	−	0.0930657i
$584$	1.73817	+	3.01060i	0.0719261	+	0.124580i
$585$	8.94402	+	39.1715i	0.369790	+	1.61954i
$586$	−8.28769	+	14.3547i	−0.342361	+	0.592987i
$587$	−1.34299	−	5.01211i	−0.0554312	−	0.206872i	0.932656	−	0.360767i	$-0.117485\pi$
$587$	−1.34299	−	5.01211i	−0.0554312	−	0.206872i	−0.988087	+	0.153895i	$0.950818\pi$
$588$	−15.6705	+	10.0481i	−0.646242	+	0.414377i
$589$	−11.5410	+	6.66318i	−0.475537	+	0.274551i
$590$	18.7981	+	70.1553i	0.773904	+	2.88825i
$591$	−0.396755	+	0.0381410i	−0.0163203	+	0.00156891i
$592$	−8.82319	−	32.9286i	−0.362631	−	1.35336i
$593$	−12.3883	+	3.31943i	−0.508726	+	0.136313i	−0.504047	−	0.863676i	$-0.668156\pi$
$593$	−12.3883	+	3.31943i	−0.508726	+	0.136313i	−0.00467892	+	0.999989i	$0.501489\pi$
$594$	−55.0429	+	1.41568i	−2.25844	+	0.0580861i
$595$	2.40839	−	5.43195i	0.0987345	−	0.222688i
$596$	26.4188	−	7.07889i	1.08216	−	0.289963i
$597$	−22.3305	+	27.0805i	−0.913926	+	1.10833i
$598$	9.78539	+	15.7333i	0.400154	+	0.643384i
$599$	10.4916	−	6.05735i	0.428677	−	0.247497i	−0.270106	−	0.962831i	$-0.587059\pi$
$599$	10.4916	−	6.05735i	0.428677	−	0.247497i	0.698783	+	0.715334i	$0.253725\pi$
$600$	5.52283	−	12.1138i	0.225469	−	0.494542i
$601$	−0.436511	+	0.756059i	−0.0178057	+	0.0308403i	−0.874791	−	0.484501i	$-0.839001\pi$
$601$	−0.436511	+	0.756059i	−0.0178057	+	0.0308403i	0.856985	+	0.515341i	$0.172335\pi$
$602$	−2.69905	−	25.3031i	−0.110005	−	1.03128i
$603$	6.47442	+	13.2850i	0.263659	+	0.541007i
$604$	10.6017	+	10.6017i	0.431377	+	0.431377i
$605$	74.4904	−	19.9596i	3.02846	−	0.811475i
$606$	−6.14408	+	13.4764i	−0.249586	+	0.547442i
$607$	23.2322			0.942967			0.471483	−	0.881875i	$-0.343719\pi$
$607$	23.2322			0.942967			0.471483	+	0.881875i	$0.343719\pi$
$608$	9.62940	−	16.6786i	0.390524	−	0.676407i
$609$	0.164924	+	0.185891i	0.00668306	+	0.00753267i
$610$		−	7.62084i		−	0.308559i
$611$	−6.53372	+	4.06366i	−0.264326	+	0.164398i
$612$	−2.73383	+	0.530521i	−0.110508	+	0.0214450i
$613$	29.8776	+	29.8776i	1.20674	+	1.20674i	0.972075	+	0.234669i	$0.0754005\pi$
$613$	29.8776	+	29.8776i	1.20674	+	1.20674i	0.234669	+	0.972075i	$0.424600\pi$
$614$	−28.5358	+	16.4752i	−1.15161	+	0.664884i
$615$	14.6901	+	39.3091i	0.592363	+	1.58510i
$616$	12.8691	+	2.01786i	0.518512	+	0.0813019i
$617$	14.4574	+	3.87384i	0.582031	+	0.155955i	0.537809	−	0.843067i	$-0.319252\pi$
$617$	14.4574	+	3.87384i	0.582031	+	0.155955i	0.0442226	+	0.999022i	$0.485919\pi$
$618$	18.2639	−	13.0233i	0.734683	−	0.523872i
$619$	27.3392	+	7.32553i	1.09886	+	0.294438i	0.762299	−	0.647225i	$-0.224071\pi$
$619$	27.3392	+	7.32553i	1.09886	+	0.294438i	0.336558	+	0.941663i	$0.390737\pi$
$620$	24.3175	+	14.0397i	0.976614	+	0.563848i
$621$	−14.1965	+	0.365128i	−0.569685	+	0.0146521i
$622$	−12.3547	−	46.1084i	−0.495379	−	1.84878i
$623$	32.9651	+	14.6159i	1.32072	+	0.585576i
$624$	−23.3928	+	17.8662i	−0.936460	+	0.715221i
$625$	4.20916	−	7.29047i	0.168366	−	0.291619i
$626$	25.0208	−	25.0208i	1.00003	−	1.00003i
$627$	26.0582	+	4.36482i	1.04067	+	0.174314i
$628$			27.9263i			1.11438i
$629$	3.09205	−	3.09205i	0.123288	−	0.123288i
$630$	−48.9801	−	25.9656i	−1.95142	−	1.03449i
$631$	−30.8679	−	8.27103i	−1.22883	−	0.329264i	−0.414707	−	0.909955i	$-0.636116\pi$
$631$	−30.8679	−	8.27103i	−1.22883	−	0.329264i	−0.814124	+	0.580690i	$0.802783\pi$
$632$	−2.64901	+	0.709801i	−0.105372	+	0.0282344i
$633$	23.6256	+	19.4816i	0.939031	+	0.774323i
$634$		−	23.4218i		−	0.930199i
$635$	3.74108	−	13.9619i	0.148460	−	0.554061i
$636$	−0.676810	+	4.04060i	−0.0268373	+	0.160220i
$637$	−25.2354	−	0.415391i	−0.999865	−	0.0164584i
$638$			0.574633i			0.0227499i
$639$	5.70943	+	3.85364i	0.225861	+	0.152448i
$640$	25.2610			0.998527
$641$	6.25066	−	10.8265i	0.246886	−	0.427620i	−0.715774	−	0.698332i	$-0.753926\pi$
$641$	6.25066	−	10.8265i	0.246886	−	0.427620i	0.962660	+	0.270712i	$0.0872592\pi$
$642$	−2.34297	−	24.3723i	−0.0924695	−	0.961899i
$643$	6.61108	−	24.6729i	0.260716	−	0.973004i	−0.704105	−	0.710096i	$-0.748652\pi$
$643$	6.61108	−	24.6729i	0.260716	−	0.973004i	0.964821	−	0.262908i	$-0.0846817\pi$
$644$	−10.9680	−	1.71978i	−0.432202	−	0.0677687i
$645$	26.7961	−	19.1072i	1.05509	−	0.752344i
$646$	3.07702			0.121064
$647$	−21.0900			−0.829132			−0.414566	−	0.910019i	$-0.636067\pi$
$647$	−21.0900			−0.829132			−0.414566	+	0.910019i	$0.636067\pi$
$648$	−0.953371	−	7.80467i	−0.0374519	−	0.306596i
$649$	−50.7532	−	29.3024i	−1.99224	−	1.15022i
$650$	−50.6496	+	31.5016i	−1.98664	+	1.23560i
$651$	−12.4265	+	18.8313i	−0.487032	+	0.738056i
$652$	24.5886	−	6.58849i	0.962963	−	0.258025i
$653$	−8.10114	+	4.67720i	−0.317022	+	0.183033i	−0.650065	−	0.759879i	$-0.725258\pi$
$653$	−8.10114	+	4.67720i	−0.317022	+	0.183033i	0.333042	+	0.942912i	$0.391925\pi$
$654$	20.2727	+	16.7168i	0.792725	+	0.653679i
$655$	1.13540	−	4.23735i	0.0443636	−	0.165567i
$656$	−21.7383	+	21.7383i	−0.848737	+	0.848737i
$657$	9.89462	+	6.67848i	0.386026	+	0.260552i
$658$	1.64450	−	10.4880i	0.0641093	−	0.408864i
$659$	−8.23487	+	4.75440i	−0.320785	+	0.185205i	−0.651742	−	0.758440i	$-0.725962\pi$
$659$	−8.23487	+	4.75440i	−0.320785	+	0.185205i	0.330958	+	0.943646i	$0.392628\pi$
$660$	−19.4884	−	52.1487i	−0.758584	−	2.02989i
$661$	34.2746	−	34.2746i	1.33313	−	1.33313i	0.430568	−	0.902558i	$-0.358313\pi$
$661$	34.2746	−	34.2746i	1.33313	−	1.33313i	0.902558	−	0.430568i	$-0.141687\pi$
$662$	−29.2855	−	50.7239i	−1.13821	−	1.97144i
$663$	−3.48502	−	1.45276i	−0.135347	−	0.0564207i
$664$	−6.85486			−0.266020
$665$	20.6993	+	16.7090i	0.802683	+	0.647946i
$666$	−26.7561	−	30.7987i	−1.03678	−	1.19343i
$667$			0.148207i			0.00573862i
$668$	12.3918	+	3.32037i	0.479453	+	0.128469i
$669$	−1.08543	−	11.2910i	−0.0419653	−	0.436537i
$670$	−24.3293	+	24.3293i	−0.939922	+	0.939922i
$671$	4.34814	+	4.34814i	0.167858	+	0.167858i
$672$	1.94522	−	32.5474i	0.0750384	−	1.25555i
$673$	9.99482	+	5.77051i	0.385272	+	0.222437i	0.680110	−	0.733110i	$-0.261932\pi$
$673$	9.99482	+	5.77051i	0.385272	+	0.222437i	−0.294838	+	0.955547i	$0.595266\pi$
$674$	12.9529	−	48.3410i	0.498928	−	1.86203i
$675$	−1.17544	−	45.7021i	−0.0452427	−	1.75907i
$676$	19.9168	−	1.30867i	0.766031	−	0.0503333i
$677$	38.2430	+	22.0796i	1.46980	+	0.848587i	0.999426	−	0.0338820i	$-0.0107870\pi$
$677$	38.2430	+	22.0796i	1.46980	+	0.848587i	0.470370	+	0.882469i	$0.344120\pi$
$678$	5.70857	+	59.3824i	0.219236	+	2.28057i
$679$	−21.4890	−	9.52771i	−0.824673	−	0.365640i
$680$	0.981016	+	1.69917i	0.0376202	+	0.0651602i
$681$	−25.7899	+	2.47924i	−0.988270	+	0.0950047i
$682$	−50.3930	+	13.5028i	−1.92965	+	0.517048i
$683$	−28.5376	+	7.64662i	−1.09196	+	0.292590i	−0.759486	−	0.650523i	$-0.774550\pi$
$683$	−28.5376	+	7.64662i	−1.09196	+	0.292590i	−0.332473	+	0.943113i	$0.607883\pi$
$684$	0.873555	−	12.4369i	0.0334012	−	0.475537i
$685$	9.57952	+	16.5922i	0.366014	+	0.633956i
$686$	23.1807	−	25.9863i	0.885042	−	0.992161i
$687$	−4.77014	+	0.458564i	−0.181992	+	0.0174953i
$688$	20.8798	+	12.0550i	0.796037	+	0.459592i
$689$	−3.79676	+	4.05442i	−0.144645	+	0.154461i
$690$	−11.5738	−	30.9703i	−0.440609	−	1.17902i
$691$	7.32433	−	27.3348i	0.278631	−	1.03986i	−0.674739	−	0.738057i	$-0.735744\pi$
$691$	7.32433	−	27.3348i	0.278631	−	1.03986i	0.953369	−	0.301807i	$-0.0975897\pi$
$692$	−31.4861	−	18.1785i	−1.19692	−	0.691044i
$693$	42.7610	−	13.1312i	1.62436	−	0.498813i
$694$	0.291658	+	0.291658i	0.0110712	+	0.0110712i
$695$	−26.1593	+	26.1593i	−0.992278	+	0.992278i
$696$	−0.0816806	+	0.00785214i	−0.00309609	+	0.000297635i
$697$	−3.80905	−	1.02063i	−0.144278	−	0.0386592i
$698$			6.13599i			0.232251i
$699$	1.65108	+	1.36148i	0.0624496	+	0.0514958i
$700$	5.53639	−	35.3089i	0.209256	−	1.33455i
$701$	−12.9133			−0.487729			−0.243865	−	0.969809i	$-0.578415\pi$
$701$	−12.9133			−0.487729			−0.243865	+	0.969809i	$0.578415\pi$
$702$	−15.7989	+	31.4851i	−0.596291	+	1.18833i
$703$	9.78846	+	16.9541i	0.369179	+	0.639436i
$704$	15.7467	−	15.7467i	0.593475	−	0.593475i
$705$	12.8613	−	4.80637i	0.484385	−	0.181019i
$706$	−19.2597	+	11.1196i	−0.724848	+	0.418491i
$707$	1.86390	−	11.8872i	0.0700990	−	0.447064i
$708$	−11.4719	+	25.1624i	−0.431140	+	0.945661i
$709$	16.3198	−	16.3198i	0.612901	−	0.612901i	−0.330800	−	0.943701i	$-0.607318\pi$
$709$	16.3198	−	16.3198i	0.612901	−	0.612901i	0.943701	+	0.330800i	$0.107318\pi$
$710$	−4.15063	+	15.4904i	−0.155770	+	0.581343i
$711$	−7.10936	+	6.17620i	−0.266622	+	0.231625i
$712$	−10.3118	+	5.95354i	−0.386452	+	0.223118i
$713$	−12.9972	+	3.48259i	−0.486749	+	0.130424i
$714$	4.65888	−	2.33093i	0.174354	−	0.0872330i
$715$	17.1337	−	73.5093i	0.640763	−	2.74909i
$716$	−1.74824	−	1.00935i	−0.0653348	−	0.0377210i
$717$	23.1994	+	32.5350i	0.866396	+	1.21504i
$718$	66.3365			2.47566
$719$	6.39860			0.238628			0.119314	−	0.992857i	$-0.461931\pi$
$719$	6.39860			0.238628			0.119314	+	0.992857i	$0.461931\pi$
$720$	47.2164	−	23.0108i	1.75965	−	0.857562i
$721$	−11.4465	+	14.1800i	−0.426289	+	0.528092i
$722$	5.68088	−	21.2013i	0.211420	−	0.789032i
$723$	−25.7673	+	2.47707i	−0.958296	+	0.0921232i
$724$	0.862964	−	1.49470i	0.0320718	−	0.0555500i
$725$	−0.477117			−0.0177197
$726$	61.5197	+	28.0477i	2.28321	+	1.04095i
$727$			8.03354i			0.297948i	0.988841	+	0.148974i	$0.0475970\pi$
$727$			8.03354i			0.297948i	−0.988841	+	0.148974i	$0.952403\pi$
$728$	5.01915	−	6.65298i	0.186022	−	0.246576i
$729$	−14.6841	−	22.6578i	−0.543857	−	0.839178i
$730$	−7.19318	+	26.8453i	−0.266231	+	0.993589i
$731$			3.09264i			0.114385i
$732$	1.84603	−	2.23870i	0.0682311	−	0.0827448i
$733$	−29.5573	+	7.91986i	−1.09172	+	0.292527i	−0.759390	−	0.650635i	$-0.774503\pi$
$733$	−29.5573	+	7.91986i	−1.09172	+	0.292527i	−0.332334	+	0.943162i	$0.607836\pi$
$734$	−4.20411	−	1.12649i	−0.155176	−	0.0415794i
$735$	43.9981	+	9.61855i	1.62289	+	0.354786i
$736$	13.7502	−	13.7502i	0.506839	−	0.506839i
$737$		−	27.7626i		−	1.02265i
$738$	−11.9889	+	34.7832i	−0.441318	+	1.28039i
$739$	−34.8949	+	34.8949i	−1.28363	+	1.28363i	−0.345042	+	0.938587i	$0.612135\pi$
$739$	−34.8949	+	34.8949i	−1.28363	+	1.28363i	−0.938587	+	0.345042i	$0.887865\pi$
$740$	20.6249	−	35.7233i	0.758185	−	1.31322i
$741$	10.3205	−	13.3873i	0.379133	−	0.491795i
$742$	−0.812885	−	7.62064i	−0.0298420	−	0.279763i
$743$	−2.06764	−	7.71653i	−0.0758543	−	0.283092i	0.917571	−	0.397571i	$-0.130147\pi$
$743$	−2.06764	−	7.71653i	−0.0758543	−	0.283092i	−0.993426	+	0.114479i	$0.963480\pi$
$744$	−2.60794	−	6.97856i	−0.0956117	−	0.255846i
$745$	−57.3060	−	33.0856i	−2.09953	−	1.21216i
$746$	−23.2799	−	6.23783i	−0.852338	−	0.228383i
$747$	−21.1601	+	10.3123i	−0.774208	+	0.377309i
$748$	5.05320	+	1.35400i	0.184763	+	0.0495072i
$749$	7.15717	+	18.5592i	0.261517	+	0.678138i
$750$	43.0418	−	16.0850i	1.57166	−	0.587342i
$751$	−3.80081	+	2.19440i	−0.138693	+	0.0800746i	−0.567741	−	0.823207i	$-0.692183\pi$
$751$	−3.80081	+	2.19440i	−0.138693	+	0.0800746i	0.429048	+	0.903282i	$0.358849\pi$
$752$	7.11242	+	7.11242i	0.259363	+	0.259363i
$753$	−25.0744	+	9.37051i	−0.913764	+	0.341480i
$754$	0.324239	+	0.173275i	0.0118081	+	0.00631032i
$755$		−	36.2736i		−	1.32013i
$756$	−8.09868	−	19.4923i	−0.294546	−	0.708928i
$757$	−15.7004	+	27.1939i	−0.570641	+	0.988379i	0.425859	+	0.904789i	$0.359972\pi$
$757$	−15.7004	+	27.1939i	−0.570641	+	0.988379i	−0.996500	+	0.0835899i	$0.973361\pi$
$758$	20.3032			0.737446
$759$	24.2740	+	11.0668i	0.881090	+	0.401701i
$760$	−8.48461	+	2.27344i	−0.307769	+	0.0824665i
$761$	17.3299	+	17.3299i	0.628207	+	0.628207i	0.947617	−	0.319410i	$-0.103485\pi$
$761$	17.3299	+	17.3299i	0.628207	+	0.628207i	−0.319410	+	0.947617i	$0.603485\pi$
$762$	10.3181	−	7.35741i	0.373785	−	0.266531i
$763$	−19.5147	−	8.65233i	−0.706478	−	0.313236i
$764$	−13.8793	+	24.0397i	−0.502137	+	0.869727i
$765$	5.58447	+	3.76930i	0.201907	+	0.136279i
$766$	−19.3358	+	11.1635i	−0.698630	+	0.403354i
$767$	−31.8382	+	19.8018i	−1.14961	+	0.715003i
$768$	27.6479	+	22.7983i	0.997656	+	0.822664i
$769$	−38.5907	+	10.3404i	−1.39162	+	0.372883i	−0.875327	−	0.483531i	$-0.839354\pi$
$769$	−38.5907	+	10.3404i	−1.39162	+	0.372883i	−0.516290	+	0.856414i	$0.672687\pi$
$770$	61.3432	+	84.1575i	2.21066	+	3.03283i
$771$	13.8530	−	5.17699i	0.498905	−	0.186445i
$772$	32.8884	−	8.81242i	1.18368	−	0.317166i
$773$	0.137535	+	0.513286i	0.00494678	+	0.0184616i	0.968355	−	0.249576i	$-0.0802914\pi$
$773$	0.137535	+	0.513286i	0.00494678	+	0.0184616i	−0.963408	+	0.268038i	$0.913625\pi$
$774$	28.7828	+	2.02168i	1.03458	+	0.0726677i
$775$	−11.2113	−	41.8413i	−0.402723	−	1.50298i
$776$	6.72199	−	3.88094i	0.241305	−	0.139318i
$777$	27.6638	+	18.2550i	0.992435	+	0.654894i
$778$	−2.83795	−	10.5914i	−0.101745	−	0.379719i
$779$	8.82724	−	15.2892i	0.316269	−	0.547793i
$780$	−35.3017	−	4.72859i	−1.26400	−	0.169311i
$781$	−6.46999	−	11.2064i	−0.231515	−	0.400995i
$782$	3.00102	+	0.804121i	0.107316	+	0.0287553i
$783$	−0.240325	+	0.147117i	−0.00858852	+	0.00525755i
$784$	6.95961	+	32.2513i	0.248558	+	1.15183i
$785$	47.7748	−	47.7748i	1.70515	−	1.70515i
$786$	3.13149	−	2.23293i	0.111696	−	0.0796461i
$787$	2.01073	+	7.50416i	0.0716749	+	0.267494i	0.992459	−	0.122579i	$-0.0391164\pi$
$787$	2.01073	+	7.50416i	0.0716749	+	0.267494i	−0.920784	+	0.390073i	$0.872450\pi$
$788$	0.0914466	−	0.341283i	0.00325765	−	0.0121577i
$789$	21.5149	+	3.60380i	0.765951	+	0.128299i
$790$	−18.9877	−	10.9626i	−0.675552	−	0.390030i
$791$	−17.4382	−	45.2189i	−0.620032	−	1.60780i
$792$	−4.81314	+	13.9643i	−0.171028	+	0.496199i
$793$	3.76460	−	1.14231i	0.133685	−	0.0405647i
$794$	−8.09220	+	4.67203i	−0.287181	+	0.165804i
$795$	8.07030	−	5.75459i	0.286224	−	0.204094i
$796$	−15.5570	−	26.9456i	−0.551405	−	0.955061i
$797$	22.0874	+	38.2564i	0.782375	+	1.35511i	0.930555	+	0.366152i	$0.119325\pi$
$797$	22.0874	+	38.2564i	0.782375	+	1.35511i	−0.148180	+	0.988960i	$0.547342\pi$
$798$	4.68156	+	22.8478i	0.165725	+	0.808802i
$799$	−0.333934	+	1.24626i	−0.0118138	+	0.0440895i
$800$	44.2654	+	44.2654i	1.56502	+	1.56502i
$801$	−22.8749	+	33.8908i	−0.808246	+	1.19747i
$802$	18.1540	−	31.4437i	0.641040	−	1.11031i
$803$	−11.2127	−	19.4210i	−0.395688	−	0.685352i
$804$	−13.0404	+	1.25360i	−0.459898	+	0.0442110i
$805$	15.8214	+	21.7056i	0.557633	+	0.765024i
$806$	−7.57658	+	32.5061i	−0.266874	+	1.14498i
$807$	18.3265	−	22.2248i	0.645125	−	0.782351i
$808$	2.80943	+	2.80943i	0.0988353	+	0.0988353i
$809$		−	26.2216i		−	0.921903i	−0.887425	−	0.460952i	$-0.847508\pi$
$809$		−	26.2216i		−	0.921903i	0.887425	−	0.460952i	$-0.152492\pi$
$810$	38.7311	−	49.5100i	1.36087	−	1.73961i
$811$	36.9479	+	36.9479i	1.29742	+	1.29742i	0.930094	+	0.367323i	$0.119726\pi$
$811$	36.9479	+	36.9479i	1.29742	+	1.29742i	0.367323	+	0.930094i	$0.380274\pi$
$812$	−0.205533	+	0.0792618i	−0.00721279	+	0.00278154i
$813$	−16.8120	+	36.8754i	−0.589623	+	1.29328i
$814$	19.8361	+	74.0293i	0.695254	+	2.59472i
$815$	−53.3360	−	30.7936i	−1.86828	−	1.07865i
$816$	−0.815400	+	4.86799i	−0.0285447	+	0.170414i
$817$	−13.3738	−	3.58350i	−0.467890	−	0.125371i
$818$	19.2293			0.672338
$819$	5.48487	−	28.0877i	0.191657	−	0.981462i
$820$	−37.1990			−1.29905
$821$	−39.8139	−	10.6681i	−1.38952	−	0.372320i	−0.514948	−	0.857222i	$-0.672189\pi$
$821$	−39.8139	−	10.6681i	−1.38952	−	0.372320i	−0.874569	+	0.484902i	$0.838855\pi$
$822$	−2.77492	+	16.5665i	−0.0967866	+	0.577822i
$823$	18.6779	+	10.7837i	0.651071	+	0.375896i	0.788867	−	0.614565i	$-0.210668\pi$
$823$	18.6779	+	10.7837i	0.651071	+	0.375896i	−0.137795	+	0.990461i	$0.544002\pi$
$824$	−1.55742	−	5.81238i	−0.0542554	−	0.202484i
$825$	−35.6270	+	78.1441i	−1.24037	+	2.72063i
$826$	8.01349	−	51.1069i	0.278825	−	1.77824i
$827$	−29.3146	−	29.3146i	−1.01937	−	1.01937i	−0.999809	−	0.0195606i	$-0.993773\pi$
$827$	−29.3146	−	29.3146i	−1.01937	−	1.01937i	−0.0195606	−	0.999809i	$-0.506227\pi$
$828$	4.10213	−	11.9014i	0.142559	−	0.413603i
$829$		−	44.6080i		−	1.54930i	−0.632391	−	0.774650i	$-0.717926\pi$
$829$		−	44.6080i		−	1.54930i	0.632391	−	0.774650i	$-0.282074\pi$
$830$	−38.7512	−	38.7512i	−1.34507	−	1.34507i
$831$	20.7901	−	25.2124i	0.721199	−	0.874607i
$832$	−4.13685	−	13.6334i	−0.143420	−	0.472653i
$833$	−3.13634	+	2.84160i	−0.108668	+	0.0984554i
$834$	−32.2856	+	3.10369i	−1.11796	+	0.107472i
$835$	−15.5189	−	26.8795i	−0.537054	−	0.930204i
$836$	−11.7105	+	20.2832i	−0.405016	+	0.701508i
$837$	−18.5488	−	17.6186i	−0.641140	−	0.608987i
$838$	−3.50944	−	3.50944i	−0.121232	−	0.121232i
$839$	3.53087	−	13.1774i	0.121899	−	0.454934i	−0.877811	−	0.479007i	$-0.840997\pi$
$839$	3.53087	−	13.1774i	0.121899	−	0.454934i	0.999710	+	0.0240731i	$0.00766344\pi$
$840$	−11.1243	+	9.86955i	−0.383823	+	0.340532i
$841$	−14.4985	−	25.1122i	−0.499949	−	0.865938i
$842$	−27.3198	−	47.3193i	−0.941503	−	1.63073i
$843$	−12.9841	+	9.25841i	−0.447196	+	0.318877i
$844$	−23.5079	+	13.5723i	−0.809175	+	0.467177i
$845$	−36.3114	−	31.8338i	−1.24915	−	1.09512i
$846$	11.3805	+	3.92258i	0.391270	+	0.134861i
$847$	−54.2649	−	8.50866i	−1.86456	−	0.292361i
$848$	6.28848	+	3.63065i	0.215947	+	0.124677i
$849$	15.1890	+	2.54419i	0.521284	+	0.0873163i
$850$	−2.58867	+	9.66104i	−0.0887906	+	0.331371i
$851$	5.11606	+	19.0934i	0.175376	+	0.654513i
$852$	−4.97158	+	3.54503i	−0.170324	+	0.121451i
$853$	−21.9441	+	21.9441i	−0.751353	+	0.751353i	−0.974732	−	0.223379i	$-0.928291\pi$
$853$	−21.9441	+	21.9441i	−0.751353	+	0.751353i	0.223379	+	0.974732i	$0.428291\pi$
$854$	−2.20009	+	4.96213i	−0.0752855	+	0.169801i
$855$	−22.7708	+	19.7819i	−0.778745	+	0.676528i
$856$	−6.34437	−	1.69997i	−0.216846	−	0.0581038i
$857$	19.1664	+	33.1973i	0.654713	+	1.13400i	0.981966	+	0.189060i	$0.0605440\pi$
$857$	19.1664	+	33.1973i	0.654713	+	1.13400i	−0.327252	+	0.944937i	$0.606123\pi$
$858$	52.5910	−	40.1664i	1.79543	−	1.37126i
$859$	5.44001	−	9.42237i	0.185611	−	0.321487i	−0.758171	−	0.652055i	$-0.773907\pi$
$859$	5.44001	−	9.42237i	0.185611	−	0.321487i	0.943782	+	0.330568i	$0.107240\pi$
$860$	7.55065	+	28.1794i	0.257475	+	0.960910i
$861$	1.78317	−	29.8362i	0.0607704	−	1.01681i
$862$	20.5996	−	11.8932i	0.701626	−	0.405084i
$863$	10.4400	+	38.9626i	0.355382	+	1.32630i	0.880003	+	0.474967i	$0.157540\pi$
$863$	10.4400	+	38.9626i	0.355382	+	1.32630i	−0.524622	+	0.851335i	$0.675793\pi$
$864$	35.9456	+	8.64750i	1.22290	+	0.294194i
$865$	22.7659	+	84.9636i	0.774065	+	2.88885i
$866$	30.6237	−	8.20559i	1.04064	−	0.278837i
$867$	26.9887	−	10.0859i	0.916585	−	0.342535i
$868$	−11.7806	−	16.1619i	−0.399859	−	0.548572i
$869$	17.0884	−	4.57882i	0.579684	−	0.155326i
$870$	−0.506137	−	0.417359i	−0.0171597	−	0.0141498i
$871$	−15.6652	−	8.37157i	−0.530794	−	0.283660i
$872$	6.10439	−	3.52437i	0.206721	−	0.119350i
$873$	14.9115	−	22.0924i	0.504678	−	0.747715i
$874$	−6.95468	+	12.0459i	−0.235246	+	0.407457i
$875$	−30.1659	+	21.9882i	−1.01980	+	0.743338i
$876$	−8.61592	+	6.14365i	−0.291105	+	0.207575i
$877$	1.63460	+	1.63460i	0.0551965	+	0.0551965i	0.734166	−	0.678970i	$-0.237573\pi$
$877$	1.63460	+	1.63460i	0.0551965	+	0.0551965i	−0.678970	+	0.734166i	$0.737573\pi$
$878$	36.0697	−	9.66485i	1.21729	−	0.326173i
$879$	13.8931	+	6.33405i	0.468602	+	0.213642i
$880$	−98.6713			−3.32621
$881$	−18.6503	+	32.3033i	−0.628345	+	1.08833i	0.359538	+	0.933130i	$0.382934\pi$
$881$	−18.6503	+	32.3033i	−0.628345	+	1.08833i	−0.987884	+	0.155196i	$0.950399\pi$
$882$	24.3962	+	31.0471i	0.821462	+	1.04541i
$883$		−	11.6828i		−	0.393156i	−0.980488	−	0.196578i	$-0.937017\pi$
$883$		−	11.6828i		−	0.393156i	0.980488	−	0.196578i	$-0.0629829\pi$
$884$	2.28775	−	2.44300i	0.0769453	−	0.0821671i
$885$	62.6720	−	23.4210i	2.10669	−	0.787288i
$886$	2.73846	+	2.73846i	0.0920004	+	0.0920004i
$887$	2.25419	−	1.30146i	0.0756882	−	0.0436986i	−0.461678	−	0.887047i	$-0.652753\pi$
$887$	2.25419	−	1.30146i	0.0756882	−	0.0436986i	0.537367	+	0.843349i	$0.319419\pi$
$888$	−10.2518	+	3.83116i	−0.344027	+	0.128565i
$889$	−6.46662	+	8.01093i	−0.216884	+	0.268678i
$890$	−91.9497	−	24.6379i	−3.08216	−	0.825863i
$891$	6.15006	+	50.3468i	0.206035	+	1.68668i
$892$	9.71240	+	2.60243i	0.325195	+	0.0871358i
$893$	−5.00239	−	2.88813i	−0.167399	−	0.0966477i
$894$	−20.3086	−	54.3435i	−0.679221	−	1.81752i
$895$	1.26406	+	4.71753i	0.0422528	+	0.157690i
$896$	−16.4481	−	7.29268i	−0.549492	−	0.243631i
$897$	13.5641	−	10.3596i	0.452893	−	0.345896i
$898$	2.65658	−	4.60133i	0.0886512	−	0.153548i
$899$	−0.188789	+	0.188789i	−0.00629646	+	0.00629646i
$900$	38.3137	+	13.2058i	1.27712	+	0.440193i
$901$			0.931424i			0.0310302i
$902$	48.8715	−	48.8715i	1.62724	−	1.62724i
$903$	−22.9637	+	4.70532i	−0.764186	+	0.156583i
$904$	15.4579	+	4.14192i	0.514121	+	0.137758i
$905$	−4.03336	+	1.08074i	−0.134073	+	0.0359249i
$906$	20.2325	−	24.5362i	0.672179	−	0.815160i
$907$		−	6.59189i		−	0.218880i	−0.993993	−	0.109440i	$-0.965094\pi$
$907$		−	6.59189i		−	0.218880i	0.993993	−	0.109440i	$-0.0349058\pi$
$908$	5.94421	−	22.1841i	0.197266	−	0.736205i
$909$	12.8988	+	4.44589i	0.427826	+	0.147461i
$910$	65.9837	−	9.23619i	2.18734	−	0.306177i
$911$			49.2977i			1.63331i	0.577129	+	0.816653i	$0.304173\pi$
$911$			49.2977i			1.63331i	−0.577129	+	0.816653i	$0.695827\pi$
$912$	−20.1063	−	9.16676i	−0.665787	−	0.303542i
$913$	44.2197			1.46346
$914$	−6.09658	+	10.5596i	−0.201657	+	0.349280i
$915$	−6.98793	+	0.671766i	−0.231014	+	0.0222079i
$916$	1.09945	−	4.10321i	0.0363269	−	0.135574i
$917$	−1.96258	+	2.43127i	−0.0648102	+	0.0802877i
$918$	1.67503	+	5.66449i	0.0552842	+	0.186956i
$919$	24.7067			0.815000			0.407500	−	0.913205i	$-0.366401\pi$
$919$	24.7067			0.815000			0.407500	+	0.913205i	$0.366401\pi$
$920$	−8.86918			−0.292408
$921$	17.6223	+	24.7137i	0.580675	+	0.814343i
$922$	44.9173	+	25.9330i	1.47927	+	0.854058i
$923$	−8.27420	+	0.271542i	−0.272349	+	0.00893791i
$924$	−2.36561	+	39.5816i	−0.0778230	+	1.30214i
$925$	−61.4665	+	16.4699i	−2.02101	+	0.541527i
$926$	16.0583	−	9.27129i	0.527710	−	0.304673i
$927$	−13.5516	−	15.5991i	−0.445094	−	0.512343i
$928$	0.0998631	−	0.372694i	0.00327817	−	0.0122343i
$929$	0.199547	−	0.199547i	0.00654694	−	0.00654694i	−0.703826	−	0.710373i	$-0.748526\pi$
$929$	0.199547	−	0.199547i	0.00654694	−	0.00654694i	0.710373	+	0.703826i	$0.248526\pi$
$930$	24.7075	−	54.1934i	0.810191	−	1.77707i
$931$	−8.65406	−	16.8554i	−0.283625	−	0.552413i
$932$	−1.64286	+	0.948504i	−0.0538136	+	0.0310693i
$933$	−41.1901	+	15.3931i	−1.34850	+	0.503946i
$934$	−45.3052	+	45.3052i	−1.48243	+	1.48243i
$935$	−6.32839	−	10.9611i	−0.206961	−	0.358466i
$936$	6.42804	+	6.92664i	0.210107	+	0.226404i
$937$	−30.9940			−1.01253			−0.506265	−	0.862378i	$-0.668974\pi$
$937$	−30.9940			−1.01253			−0.506265	+	0.862378i	$0.668974\pi$
$938$	22.8651	−	8.81772i	0.746573	−	0.287909i
$939$	−25.1484	−	20.7373i	−0.820687	−	0.676736i
$940$			12.1709i			0.396972i
$941$	−15.6602	−	4.19614i	−0.510509	−	0.136790i	−0.00563580	−	0.999984i	$-0.501794\pi$
$941$	−15.6602	−	4.19614i	−0.510509	−	0.136790i	−0.504873	+	0.863194i	$0.668461\pi$
$942$	58.9633	−	5.66827i	1.92113	−	0.184682i
$943$	12.6048	−	12.6048i	0.410468	−	0.410468i
$944$	34.6581	+	34.6581i	1.12803	+	1.12803i
$945$	−19.4916	+	47.2012i	−0.634062	+	1.53545i
$946$	−46.9415	−	27.1017i	−1.52620	−	0.881153i
$947$	−1.70939	+	6.37954i	−0.0555478	+	0.207307i	−0.988122	−	0.153671i	$-0.950890\pi$
$947$	−1.70939	+	6.37954i	−0.0555478	+	0.207307i	0.932574	+	0.360978i	$0.117557\pi$
$948$	−2.92233	−	7.81983i	−0.0949129	−	0.253976i
$949$	−14.3395	+	0.470591i	−0.465479	+	0.0152760i
$950$	−38.7787	−	22.3889i	−1.25815	−	0.726391i
$951$	−21.4766	+	2.06460i	−0.696428	+	0.0669492i
$952$	−0.148226	−	1.38959i	−0.00480402	−	0.0450368i
$953$	−25.2718	−	43.7720i	−0.818632	−	1.41791i	−0.906690	−	0.421798i	$-0.861399\pi$
$953$	−25.2718	−	43.7720i	−0.818632	−	1.41791i	0.0880577	−	0.996115i	$-0.471934\pi$
$954$	8.66866	+	0.608878i	0.280658	+	0.0197132i
$955$	64.8699	−	17.3818i	2.09914	−	0.562463i
$956$	−34.2146	+	9.16777i	−1.10658	+	0.296507i
$957$	0.526910	−	0.0506530i	0.0170326	−	0.00163738i
$958$	19.4883	+	33.7548i	0.629640	+	1.09057i
$959$	−1.44741	−	13.5692i	−0.0467392	−	0.438171i
$960$	2.43278	+	25.3066i	0.0785176	+	0.816767i
$961$	5.85457	+	3.38014i	0.188857	+	0.109037i
$962$	47.7527	+	11.1303i	1.53961	+	0.358855i
$963$	−22.1417	+	4.29677i	−0.713506	+	0.138461i
$964$	5.93901	−	22.1647i	0.191283	−	0.713876i
$965$	−71.3395	−	41.1879i	−2.29650	−	1.32589i
$966$	−1.40490	+	23.5069i	−0.0452020	+	0.756322i
$967$	4.50569	+	4.50569i	0.144893	+	0.144893i	0.775832	−	0.630939i	$-0.217330\pi$
$967$	4.50569	+	4.50569i	0.144893	+	0.144893i	−0.630939	+	0.775832i	$0.717330\pi$
$968$	12.8250	−	12.8250i	0.412211	−	0.412211i
$969$	−0.271235	−	2.82147i	−0.00871331	−	0.0906388i
$970$	59.9394	+	16.0607i	1.92454	+	0.515678i
$971$		−	29.7438i		−	0.954525i	−0.878761	−	0.477262i	$-0.841629\pi$
$971$		−	29.7438i		−	0.954525i	0.878761	−	0.477262i	$-0.158371\pi$
$972$	23.3707	−	5.16211i	0.749615	−	0.165575i
$973$	24.5850	−	9.48098i	0.788160	−	0.303946i
$974$	16.2413			0.520404
$975$	33.3501	+	43.6663i	1.06806	+	1.39844i
$976$	−2.57144	−	4.45386i	−0.0823097	−	0.142565i
$977$	39.2397	−	39.2397i	1.25539	−	1.25539i	0.302120	−	0.953270i	$-0.402306\pi$
$977$	39.2397	−	39.2397i	1.25539	−	1.25539i	0.953270	−	0.302120i	$-0.0976944\pi$
$978$	−18.9017	−	50.5788i	−0.604409	−	1.61733i
$979$	66.5202	−	38.4054i	2.12599	−	1.22744i
$980$	−21.6399	+	33.5493i	−0.691260	+	1.07169i
$981$	13.5415	−	20.0626i	0.432346	−	0.640550i
$982$	48.4523	−	48.4523i	1.54617	−	1.54617i
$983$	13.9958	−	52.2329i	0.446396	−	1.66597i	−0.265829	−	0.964020i	$-0.585646\pi$
$983$	13.9958	−	52.2329i	0.446396	−	1.66597i	0.712225	−	0.701952i	$-0.247688\pi$
$984$	7.61459	+	6.27897i	0.242744	+	0.200166i
$985$	−0.740291	+	0.427407i	−0.0235876	+	0.0136183i
$986$	0.0595461	−	0.0159553i	0.00189634	−	0.000508122i
$987$	−9.76192	−	0.583427i	−0.310725	−	0.0185707i
$988$	7.91366	+	12.7239i	0.251767	+	0.404801i
$989$	−12.1070	−	6.98999i	−0.384981	−	0.222269i
$990$	−106.151	+	51.7323i	−3.37369	+	1.64416i
$991$	15.9071			0.505305			0.252653	−	0.967557i	$-0.418697\pi$
$991$	15.9071			0.505305			0.252653	+	0.967557i	$0.418697\pi$
$992$	35.0304			1.11222
$993$	−43.9299	+	31.3246i	−1.39407	+	0.994055i
$994$	7.17456	−	8.88792i	0.227563	−	0.281908i
$995$	−19.4829	+	72.7112i	−0.617650	+	2.30510i
$996$	−1.99671	−	20.7704i	−0.0632681	−	0.658136i
$997$	−17.7359	+	30.7195i	−0.561702	+	0.972897i	0.435646	+	0.900118i	$0.356520\pi$
$997$	−17.7359	+	30.7195i	−0.561702	+	0.972897i	−0.997348	+	0.0727786i	$0.976813\pi$
$998$	67.6325			2.14087
$999$	−25.8824	+	27.2489i	−0.818882	+	0.862117i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bw.b.254.26	yes	128
3.2	odd	2	inner	273.2.bw.b.254.7	yes	128
7.4	even	3		273.2.bv.b.137.7	yes	128
13.2	odd	12		273.2.bv.b.2.26	yes	128
21.11	odd	6		273.2.bv.b.137.26	yes	128
39.2	even	12		273.2.bv.b.2.7	✓	128
91.67	odd	12	inner	273.2.bw.b.158.7	yes	128
273.158	even	12	inner	273.2.bw.b.158.26	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bv.b.2.7	✓	128	39.2	even	12
273.2.bv.b.2.26	yes	128	13.2	odd	12
273.2.bv.b.137.7	yes	128	7.4	even	3
273.2.bv.b.137.26	yes	128	21.11	odd	6
273.2.bw.b.158.7	yes	128	91.67	odd	12	inner
273.2.bw.b.158.26	yes	128	273.158	even	12	inner
273.2.bw.b.254.7	yes	128	3.2	odd	2	inner
273.2.bw.b.254.26	yes	128	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bw (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.81619 + 0.486646i) q^{2} +(0.286136 - 1.70825i) q^{3} +(1.32967 + 0.767683i) q^{4} +(-0.961410 - 3.58803i) q^{5} +(1.35099 - 2.96326i) q^{6} +(-0.409843 + 2.61381i) q^{7} +(-0.617751 - 0.617751i) q^{8} +(-2.83625 - 0.977586i) q^{9} +O(q^{10})\)	\(q+(1.81619 + 0.486646i) q^{2} +(0.286136 - 1.70825i) q^{3} +(1.32967 + 0.767683i) q^{4} +(-0.961410 - 3.58803i) q^{5} +(1.35099 - 2.96326i) q^{6} +(-0.409843 + 2.61381i) q^{7} +(-0.617751 - 0.617751i) q^{8} +(-2.83625 - 0.977586i) q^{9} -6.98441i q^{10} +(3.98502 + 3.98502i) q^{11} +(1.69186 - 2.05174i) q^{12} +(3.45021 - 1.04692i) q^{13} +(-2.01636 + 4.54773i) q^{14} +(-6.40436 + 0.615665i) q^{15} +(-2.35669 - 4.08191i) q^{16} +(0.302298 - 0.523595i) q^{17} +(-4.67543 - 3.15573i) q^{18} +(1.91396 + 1.91396i) q^{19} +(1.47612 - 5.50894i) q^{20} +(4.34778 + 1.44802i) q^{21} +(5.29825 + 9.17685i) q^{22} +(1.36651 + 2.36686i) q^{23} +(-1.23203 + 0.878513i) q^{24} +(-7.61953 + 4.39914i) q^{25} +(6.77571 - 0.222365i) q^{26} +(-2.48152 + 4.56531i) q^{27} +(-2.55154 + 3.16087i) q^{28} +(0.0469632 + 0.0271142i) q^{29} +(-11.9311 - 1.99849i) q^{30} +(-1.27427 + 4.75563i) q^{31} +(-1.84153 - 6.87267i) q^{32} +(7.94768 - 5.66716i) q^{33} +(0.803836 - 0.803836i) q^{34} +(9.77248 - 1.04242i) q^{35} +(-3.02079 - 3.47720i) q^{36} +(6.98619 + 1.87195i) q^{37} +(2.54469 + 4.40753i) q^{38} +(-0.801167 - 6.19339i) q^{39} +(-1.62260 + 2.81042i) q^{40} +(-1.68812 - 6.30015i) q^{41} +(7.19172 + 4.74571i) q^{42} +(-4.42991 + 2.55761i) q^{43} +(2.23951 + 8.35798i) q^{44} +(-0.780806 + 11.1164i) q^{45} +(1.33001 + 4.96368i) q^{46} +(-2.06131 + 0.552327i) q^{47} +(-7.64727 + 2.85784i) q^{48} +(-6.66406 - 2.14251i) q^{49} +(-15.9793 + 4.28165i) q^{50} +(-0.807935 - 0.666221i) q^{51} +(5.39133 + 1.25662i) q^{52} +(-1.33418 + 0.770286i) q^{53} +(-6.72860 + 7.08385i) q^{54} +(10.4671 - 18.1296i) q^{55} +(1.86787 - 1.36151i) q^{56} +(3.81718 - 2.72187i) q^{57} +(0.0720991 + 0.0720991i) q^{58} +(-10.0446 + 2.69143i) q^{59} +(-8.98829 - 4.09789i) q^{60} +1.09112 q^{61} +(-4.62861 + 8.01700i) q^{62} +(3.71765 - 7.01278i) q^{63} -3.95146i q^{64} +(-7.07344 - 11.3730i) q^{65} +(17.1924 - 6.42493i) q^{66} +(-3.48337 - 3.48337i) q^{67} +(0.803911 - 0.464138i) q^{68} +(4.43421 - 1.65710i) q^{69} +(18.2560 + 2.86251i) q^{70} +(-2.21785 - 0.594271i) q^{71} +(1.14819 + 2.35600i) q^{72} +(-3.84360 - 1.02989i) q^{73} +(11.7773 + 6.79961i) q^{74} +(5.33462 + 14.2748i) q^{75} +(1.07561 + 4.01424i) q^{76} +(-12.0493 + 8.78288i) q^{77} +(1.55892 - 11.6383i) q^{78} +(1.56958 - 2.71858i) q^{79} +(-12.3803 + 12.3803i) q^{80} +(7.08865 + 5.54536i) q^{81} -12.2638i q^{82} +(5.54824 - 5.54824i) q^{83} +(4.66948 + 5.26311i) q^{84} +(-2.16931 - 0.581265i) q^{85} +(-9.29020 + 2.48930i) q^{86} +(0.0597558 - 0.0724667i) q^{87} -4.92350i q^{88} +(3.52755 - 13.1650i) q^{89} +(-6.82786 + 19.8095i) q^{90} +(1.32240 + 9.44729i) q^{91} +4.19618i q^{92} +(7.75919 + 3.53752i) q^{93} -4.01252 q^{94} +(5.02724 - 8.70744i) q^{95} +(-12.2672 + 1.17927i) q^{96} +(-2.29951 + 8.58188i) q^{97} +(-11.0605 - 7.13424i) q^{98} +(-7.40683 - 15.1982i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9}+O(q^{10}) \) 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9	\( 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9} - 48 q^{12} - 16 q^{13} - 6 q^{15} + 32 q^{16} + 22 q^{18} - 16 q^{19} - 18 q^{21} - 8 q^{22} - 4 q^{24} - 40 q^{27} - 76 q^{28} - 4 q^{31} + 50 q^{33} - 48 q^{34} - 60 q^{36} + 28 q^{37} + 40 q^{39} + 44 q^{40} + 44 q^{42} - 144 q^{43} + 58 q^{45} + 48 q^{46} - 64 q^{48} + 24 q^{49} + 36 q^{51} - 22 q^{54} - 16 q^{55} + 40 q^{57} - 28 q^{58} - 4 q^{60} - 40 q^{61} + 20 q^{63} - 34 q^{66} + 96 q^{67} - 54 q^{69} + 64 q^{70} - 98 q^{72} + 48 q^{73} - 12 q^{75} + 144 q^{76} + 82 q^{78} - 24 q^{79} - 48 q^{81} + 4 q^{84} + 56 q^{85} - 2 q^{87} - 24 q^{91} + 10 q^{93} + 32 q^{94} - 54 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) \) 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9 - 48 * q^12 - 16 * q^13 - 6 * q^15 + 32 * q^16 + 22 * q^18 - 16 * q^19 - 18 * q^21 - 8 * q^22 - 4 * q^24 - 40 * q^27 - 76 * q^28 - 4 * q^31 + 50 * q^33 - 48 * q^34 - 60 * q^36 + 28 * q^37 + 40 * q^39 + 44 * q^40 + 44 * q^42 - 144 * q^43 + 58 * q^45 + 48 * q^46 - 64 * q^48 + 24 * q^49 + 36 * q^51 - 22 * q^54 - 16 * q^55 + 40 * q^57 - 28 * q^58 - 4 * q^60 - 40 * q^61 + 20 * q^63 - 34 * q^66 + 96 * q^67 - 54 * q^69 + 64 * q^70 - 98 * q^72 + 48 * q^73 - 12 * q^75 + 144 * q^76 + 82 * q^78 - 24 * q^79 - 48 * q^81 + 4 * q^84 + 56 * q^85 - 2 * q^87 - 24 * q^91 + 10 * q^93 + 32 * q^94 - 54 * q^96 + 52 * q^97 - 10 * q^99

Introduction

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