LMFDB - Embedded newform 273.2.by.d.223.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(76,273)]

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([0, 6, 7]))

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

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

chi := DirichletCharacter("273.76");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.by (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:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			223.8
Character	$\chi$	$=$	273.223
Dual form			273.2.by.d.202.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.37607 + 0.636667i) q^{2} +(0.866025 - 0.500000i) q^{3} +(3.50833 + 2.02554i) q^{4} +(-0.498430 - 0.498430i) q^{5} +(2.37607 - 0.636667i) q^{6} +(-2.62820 - 0.304236i) q^{7} +(3.56765 + 3.56765i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})$	\(q+(2.37607 + 0.636667i) q^{2} +(0.866025 - 0.500000i) q^{3} +(3.50833 + 2.02554i) q^{4} +(-0.498430 - 0.498430i) q^{5} +(2.37607 - 0.636667i) q^{6} +(-2.62820 - 0.304236i) q^{7} +(3.56765 + 3.56765i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-0.866973 - 1.50164i) q^{10} +(0.184478 - 0.688480i) q^{11} +4.05107 q^{12} +(-3.17894 + 1.70127i) q^{13} +(-6.05110 - 2.39618i) q^{14} +(-0.680869 - 0.182438i) q^{15} +(2.15452 + 3.73174i) q^{16} +(-2.27300 + 3.93695i) q^{17} +(1.73941 - 1.73941i) q^{18} +(3.25000 - 0.870835i) q^{19} +(-0.739070 - 2.75825i) q^{20} +(-2.42821 + 1.05062i) q^{21} +(0.876665 - 1.51843i) q^{22} +(-1.67026 + 0.964326i) q^{23} +(4.87350 + 1.30585i) q^{24} -4.50313i q^{25} +(-8.63655 + 2.01842i) q^{26} -1.00000i q^{27} +(-8.60436 - 6.39088i) q^{28} +(0.185925 + 0.322032i) q^{29} +(-1.50164 - 0.866973i) q^{30} +(3.53994 + 3.53994i) q^{31} +(0.131724 + 0.491600i) q^{32} +(-0.184478 - 0.688480i) q^{33} +(-7.90735 + 7.90735i) q^{34} +(1.15833 + 1.46162i) q^{35} +(3.50833 - 2.02554i) q^{36} +(-0.545727 + 2.03668i) q^{37} +8.27667 q^{38} +(-1.90241 + 3.06282i) q^{39} -3.55645i q^{40} +(3.11983 - 11.6434i) q^{41} +(-6.43850 + 0.950401i) q^{42} +(6.38504 + 3.68640i) q^{43} +(2.04175 - 2.04175i) q^{44} +(-0.680869 + 0.182438i) q^{45} +(-4.58262 + 1.22791i) q^{46} +(-3.55898 + 3.55898i) q^{47} +(3.73174 + 2.15452i) q^{48} +(6.81488 + 1.59919i) q^{49} +(2.86700 - 10.6998i) q^{50} +4.54600i q^{51} +(-14.5988 - 0.470438i) q^{52} -4.97712 q^{53} +(0.636667 - 2.37607i) q^{54} +(-0.435109 + 0.251210i) q^{55} +(-8.29109 - 10.4619i) q^{56} +(2.37916 - 2.37916i) q^{57} +(0.236745 + 0.883543i) q^{58} +(-1.03416 - 3.85953i) q^{59} +(-2.01918 - 2.01918i) q^{60} +(10.0720 + 5.81509i) q^{61} +(6.15739 + 10.6649i) q^{62} +(-1.57758 + 2.12397i) q^{63} -7.36614i q^{64} +(2.43245 + 0.736516i) q^{65} -1.75333i q^{66} +(-12.5870 - 3.37267i) q^{67} +(-15.9489 + 9.20809i) q^{68} +(-0.964326 + 1.67026i) q^{69} +(1.82173 + 4.21038i) q^{70} +(2.10681 + 7.86274i) q^{71} +(4.87350 - 1.30585i) q^{72} +(0.608899 - 0.608899i) q^{73} +(-2.59337 + 4.49186i) q^{74} +(-2.25157 - 3.89983i) q^{75} +(13.1660 + 3.52781i) q^{76} +(-0.694305 + 1.75334i) q^{77} +(-6.47026 + 6.06627i) q^{78} +9.81537 q^{79} +(0.786133 - 2.93389i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(14.8259 - 25.6792i) q^{82} +(-2.25452 - 2.25452i) q^{83} +(-10.6470 - 1.23248i) q^{84} +(3.09523 - 0.829364i) q^{85} +(12.8243 + 12.8243i) q^{86} +(0.322032 + 0.185925i) q^{87} +(3.11441 - 1.79810i) q^{88} +(-17.5524 - 4.70315i) q^{89} -1.73395 q^{90} +(8.87249 - 3.50413i) q^{91} -7.81311 q^{92} +(4.83565 + 1.29571i) q^{93} +(-10.7223 + 6.19052i) q^{94} +(-2.05395 - 1.18585i) q^{95} +(0.359876 + 0.359876i) q^{96} +(8.73810 - 2.34137i) q^{97} +(15.1745 + 8.13860i) q^{98} +(-0.504002 - 0.504002i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	2.37607	+	0.636667i	1.68014	+	0.450192i	0.967816	−	0.251661i	$-0.0809767\pi$
$2$	2.37607	+	0.636667i	1.68014	+	0.450192i	0.712322	+	0.701852i	$0.247643\pi$
$3$	0.866025	−	0.500000i	0.500000	−	0.288675i
$3$	0.866025	−	0.500000i	0.500000	−	0.288675i
$4$	3.50833	+	2.02554i	1.75417	+	1.01277i
$5$	−0.498430	−	0.498430i	−0.222905	−	0.222905i	0.586816	−	0.809721i	$-0.300381\pi$
$5$	−0.498430	−	0.498430i	−0.222905	−	0.222905i	−0.809721	+	0.586816i	$0.800381\pi$
$6$	2.37607	−	0.636667i	0.970028	−	0.259918i
$7$	−2.62820	−	0.304236i	−0.993367	−	0.114991i
$7$	−2.62820	−	0.304236i	−0.993367	−	0.114991i
$8$	3.56765	+	3.56765i	1.26135	+	1.26135i
$9$	0.500000	−	0.866025i	0.166667	−	0.288675i
$10$	−0.866973	−	1.50164i	−0.274161	−	0.474861i
$11$	0.184478	−	0.688480i	0.0556221	−	0.207585i	−0.932522	−	0.361113i	$-0.882397\pi$
$11$	0.184478	−	0.688480i	0.0556221	−	0.207585i	0.988144	+	0.153528i	$0.0490636\pi$
$12$	4.05107			1.16944
$13$	−3.17894	+	1.70127i	−0.881680	+	0.471848i
$13$	−3.17894	+	1.70127i	−0.881680	+	0.471848i
$14$	−6.05110	−	2.39618i	−1.61723	−	0.640405i
$15$	−0.680869	−	0.182438i	−0.175799	−	0.0471053i
$16$	2.15452	+	3.73174i	0.538630	+	0.932934i
$17$	−2.27300	+	3.93695i	−0.551284	+	0.954852i	0.446898	+	0.894585i	$0.352529\pi$
$17$	−2.27300	+	3.93695i	−0.551284	+	0.954852i	−0.998182	+	0.0602669i	$0.980805\pi$
$18$	1.73941	−	1.73941i	0.409982	−	0.409982i
$19$	3.25000	−	0.870835i	0.745601	−	0.199783i	0.134035	−	0.990977i	$-0.457207\pi$
$19$	3.25000	−	0.870835i	0.745601	−	0.199783i	0.611566	+	0.791193i	$0.290540\pi$
$20$	−0.739070	−	2.75825i	−0.165261	−	0.616763i
$21$	−2.42821	+	1.05062i	−0.529878	+	0.229265i
$22$	0.876665	−	1.51843i	0.186906	−	0.323730i
$23$	−1.67026	+	0.964326i	−0.348274	+	0.201076i	−0.663925	−	0.747799i	$-0.731110\pi$
$23$	−1.67026	+	0.964326i	−0.348274	+	0.201076i	0.315651	+	0.948875i	$0.397777\pi$
$24$	4.87350	+	1.30585i	0.994799	+	0.266556i
$25$		−	4.50313i		−	0.900627i
$26$	−8.63655	+	2.01842i	−1.69377	+	0.395845i
$27$		−	1.00000i		−	0.192450i
$28$	−8.60436	−	6.39088i	−1.62607	−	1.20776i
$29$	0.185925	+	0.322032i	0.0345254	+	0.0597998i	0.882772	−	0.469802i	$-0.155675\pi$
$29$	0.185925	+	0.322032i	0.0345254	+	0.0597998i	−0.848246	+	0.529602i	$0.822341\pi$
$30$	−1.50164	−	0.866973i	−0.274161	−	0.158287i
$31$	3.53994	+	3.53994i	0.635792	+	0.635792i	0.949515	−	0.313723i	$-0.101576\pi$
$31$	3.53994	+	3.53994i	0.635792	+	0.635792i	−0.313723	+	0.949515i	$0.601576\pi$
$32$	0.131724	+	0.491600i	0.0232857	+	0.0869034i
$33$	−0.184478	−	0.688480i	−0.0321134	−	0.119849i
$34$	−7.90735	+	7.90735i	−1.35610	+	1.35610i
$35$	1.15833	+	1.46162i	0.195794	+	0.247058i
$36$	3.50833	−	2.02554i	0.584722	−	0.337589i
$37$	−0.545727	+	2.03668i	−0.0897169	+	0.334828i	−0.996166	−	0.0874879i	$-0.972116\pi$
$37$	−0.545727	+	2.03668i	−0.0897169	+	0.334828i	0.906449	+	0.422316i	$0.138783\pi$
$38$	8.27667			1.34265
$39$	−1.90241	+	3.06282i	−0.304629	+	0.490443i
$40$		−	3.55645i		−	0.562324i
$41$	3.11983	−	11.6434i	0.487236	−	1.81839i	−0.0825406	−	0.996588i	$-0.526303\pi$
$41$	3.11983	−	11.6434i	0.487236	−	1.81839i	0.569776	−	0.821800i	$-0.307030\pi$
$42$	−6.43850	+	0.950401i	−0.993482	+	0.146650i
$43$	6.38504	+	3.68640i	0.973709	+	0.562171i	0.900365	−	0.435136i	$-0.143300\pi$
$43$	6.38504	+	3.68640i	0.973709	+	0.562171i	0.0733440	+	0.997307i	$0.476633\pi$
$44$	2.04175	−	2.04175i	0.307805	−	0.307805i
$45$	−0.680869	+	0.182438i	−0.101498	+	0.0271963i
$46$	−4.58262	+	1.22791i	−0.675671	+	0.181045i
$47$	−3.55898	+	3.55898i	−0.519131	+	0.519131i	−0.917308	−	0.398177i	$-0.869643\pi$
$47$	−3.55898	+	3.55898i	−0.519131	+	0.519131i	0.398177	+	0.917308i	$0.369643\pi$
$48$	3.73174	+	2.15452i	0.538630	+	0.310978i
$49$	6.81488	+	1.59919i	0.973554	+	0.228455i
$50$	2.86700	−	10.6998i	0.405455	−	1.51318i
$51$			4.54600i			0.636568i
$52$	−14.5988	−	0.470438i	−2.02449	−	0.0652380i
$53$	−4.97712			−0.683660			−0.341830	−	0.939762i	$-0.611047\pi$
$53$	−4.97712			−0.683660			−0.341830	+	0.939762i	$0.611047\pi$
$54$	0.636667	−	2.37607i	0.0866394	−	0.323343i
$55$	−0.435109	+	0.251210i	−0.0586700	+	0.0338732i
$56$	−8.29109	−	10.4619i	−1.10794	−	1.39803i
$57$	2.37916	−	2.37916i	0.315128	−	0.315128i
$58$	0.236745	+	0.883543i	0.0310861	+	0.116015i
$59$	−1.03416	−	3.85953i	−0.134636	−	0.502467i	−0.999999	−	0.00132252i	$-0.999579\pi$
$59$	−1.03416	−	3.85953i	−0.134636	−	0.502467i	0.865363	−	0.501145i	$-0.167088\pi$
$60$	−2.01918	−	2.01918i	−0.260675	−	0.260675i
$61$	10.0720	+	5.81509i	1.28959	+	0.744546i	0.978581	−	0.205860i	$-0.0659992\pi$
$61$	10.0720	+	5.81509i	1.28959	+	0.744546i	0.311011	+	0.950406i	$0.399333\pi$
$62$	6.15739	+	10.6649i	0.781990	+	1.35445i
$63$	−1.57758	+	2.12397i	−0.198756	+	0.267595i
$64$		−	7.36614i		−	0.920767i
$65$	2.43245	+	0.736516i	0.301708	+	0.0913536i
$66$		−	1.75333i		−	0.215820i
$67$	−12.5870	−	3.37267i	−1.53774	−	0.412037i	−0.612207	−	0.790697i	$-0.709718\pi$
$67$	−12.5870	−	3.37267i	−1.53774	−	0.412037i	−0.925536	+	0.378660i	$0.876385\pi$
$68$	−15.9489	+	9.20809i	−1.93409	+	1.11665i
$69$	−0.964326	+	1.67026i	−0.116091	+	0.201076i
$70$	1.82173	+	4.21038i	0.217738	+	0.503237i
$71$	2.10681	+	7.86274i	0.250033	+	0.933135i	0.970787	+	0.239944i	$0.0771291\pi$
$71$	2.10681	+	7.86274i	0.250033	+	0.933135i	−0.720754	+	0.693191i	$0.756204\pi$
$72$	4.87350	−	1.30585i	0.574347	−	0.153896i
$73$	0.608899	−	0.608899i	0.0712663	−	0.0712663i	−0.670575	−	0.741842i	$-0.733953\pi$
$73$	0.608899	−	0.608899i	0.0712663	−	0.0712663i	0.741842	+	0.670575i	$0.233953\pi$
$74$	−2.59337	+	4.49186i	−0.301474	+	0.522168i
$75$	−2.25157	−	3.89983i	−0.259989	−	0.450313i
$76$	13.1660	+	3.52781i	1.51024	+	0.404668i
$77$	−0.694305	+	1.75334i	−0.0791234	+	0.199812i
$78$	−6.47026	+	6.06627i	−0.732612	+	0.686870i
$79$	9.81537			1.10432			0.552158	−	0.833740i	$-0.313805\pi$
$79$	9.81537			1.10432			0.552158	+	0.833740i	$0.313805\pi$
$80$	0.786133	−	2.93389i	0.0878924	−	0.328019i
$81$	−0.500000	−	0.866025i	−0.0555556	−	0.0962250i
$82$	14.8259	−	25.6792i	1.63725	−	2.83579i
$83$	−2.25452	−	2.25452i	−0.247465	−	0.247465i	0.572464	−	0.819930i	$-0.305988\pi$
$83$	−2.25452	−	2.25452i	−0.247465	−	0.247465i	−0.819930	+	0.572464i	$0.805988\pi$
$84$	−10.6470	−	1.23248i	−1.16169	−	0.134475i
$85$	3.09523	−	0.829364i	0.335725	−	0.0899572i
$86$	12.8243	+	12.8243i	1.38288	+	1.38288i
$87$	0.322032	+	0.185925i	0.0345254	+	0.0199333i
$88$	3.11441	−	1.79810i	0.331997	−	0.191678i
$89$	−17.5524	−	4.70315i	−1.86055	−	0.498533i	−0.860609	−	0.509266i	$-0.829917\pi$
$89$	−17.5524	−	4.70315i	−1.86055	−	0.498533i	−0.999942	+	0.0107329i	$0.996584\pi$
$90$	−1.73395			−0.182774
$91$	8.87249	−	3.50413i	0.930089	−	0.367333i
$92$	−7.81311			−0.814573
$93$	4.83565	+	1.29571i	0.501433	+	0.134359i
$94$	−10.7223	+	6.19052i	−1.10592	+	0.638503i
$95$	−2.05395	−	1.18585i	−0.210731	−	0.121665i
$96$	0.359876	+	0.359876i	0.0367297	+	0.0367297i
$97$	8.73810	−	2.34137i	0.887220	−	0.237730i	0.213700	−	0.976899i	$-0.431448\pi$
$97$	8.73810	−	2.34137i	0.887220	−	0.237730i	0.673520	+	0.739169i	$0.264782\pi$
$98$	15.1745	+	8.13860i	1.53286	+	0.822123i
$99$	−0.504002	−	0.504002i	−0.0506541	−	0.0506541i
$100$	9.12126	−	15.7985i	0.912126	−	1.57985i
$101$	−6.77353	−	11.7321i	−0.673991	−	1.16739i	−0.976763	−	0.214324i	$-0.931245\pi$
$101$	−6.77353	−	11.7321i	−0.673991	−	1.16739i	0.302772	−	0.953063i	$-0.402088\pi$
$102$	−2.89429	+	10.8016i	−0.286577	+	1.06952i
$103$	16.4565			1.62151			0.810756	−	0.585385i	$-0.199056\pi$
$103$	16.4565			1.62151			0.810756	+	0.585385i	$0.199056\pi$
$104$	−17.4109	−	5.27181i	−1.70728	−	0.516943i
$105$	1.73396	+	0.686629i	0.169217	+	0.0670081i
$106$	−11.8260	−	3.16877i	−1.14864	−	0.307778i
$107$	8.35835	+	14.4771i	0.808033	+	1.39955i	0.914225	+	0.405208i	$0.132801\pi$
$107$	8.35835	+	14.4771i	0.808033	+	1.39955i	−0.106192	+	0.994346i	$0.533866\pi$
$108$	2.02554	−	3.50833i	0.194907	−	0.337589i
$109$	1.77768	−	1.77768i	0.170271	−	0.170271i	−0.616827	−	0.787099i	$-0.711582\pi$
$109$	1.77768	−	1.77768i	0.170271	−	0.170271i	0.787099	+	0.616827i	$0.211582\pi$
$110$	−1.19379	+	0.319874i	−0.113823	+	0.0304988i
$111$	0.545727	+	2.03668i	0.0517981	+	0.193313i
$112$	−4.52718	−	10.4632i	−0.427778	−	0.988683i
$113$	−2.96252	+	5.13124i	−0.278691	+	0.482706i	−0.971060	−	0.238837i	$-0.923234\pi$
$113$	−2.96252	+	5.13124i	−0.278691	+	0.482706i	0.692369	+	0.721544i	$0.256567\pi$
$114$	7.16781	−	4.13833i	0.671326	−	0.387591i
$115$	1.31316	+	0.351860i	0.122453	+	0.0328111i
$116$			1.50639i			0.139865i
$117$	−0.116127	+	3.60368i	−0.0107359	+	0.333160i
$118$		−	9.82893i		−	0.904826i
$119$	7.17167	−	9.65558i	0.657426	−	0.885125i
$120$	−1.77822	−	3.07997i	−0.162329	−	0.281162i
$121$	9.08631	+	5.24598i	0.826028	+	0.476907i
$122$	20.2296	+	20.2296i	1.83150	+	1.83150i
$123$	−3.11983	−	11.6434i	−0.281306	−	1.04985i
$124$	5.24901	+	19.5896i	0.471375	+	1.75919i
$125$	−4.73665	+	4.73665i	−0.423659	+	0.423659i
$126$	−5.10070	+	4.04232i	−0.454407	+	0.360118i
$127$	−17.4169	+	10.0556i	−1.54550	+	0.892293i	−0.547019	+	0.837120i	$0.684238\pi$
$127$	−17.4169	+	10.0556i	−1.54550	+	0.892293i	−0.998477	+	0.0551724i	$0.982429\pi$
$128$	4.95322	−	18.4857i	0.437807	−	1.63392i
$129$	7.37281			0.649139
$130$	5.31076	+	3.29868i	0.465784	+	0.289313i
$131$			12.0796i			1.05540i	0.849430	+	0.527702i	$0.176946\pi$
$131$			12.0796i			1.05540i	−0.849430	+	0.527702i	$0.823054\pi$
$132$	0.747332	−	2.78908i	0.0650469	−	0.242758i
$133$	−8.80659	+	1.29996i	−0.763628	+	0.112721i
$134$	−27.7603	−	16.0274i	−2.39813	−	1.38456i
$135$	−0.498430	+	0.498430i	−0.0428981	+	0.0428981i
$136$	−22.1549	+	5.93640i	−1.89977	+	0.509042i
$137$	−13.9883	+	3.74816i	−1.19510	+	0.320227i	−0.800901	−	0.598797i	$-0.795646\pi$
$137$	−13.9883	+	3.74816i	−1.19510	+	0.320227i	−0.394202	+	0.919024i	$0.628979\pi$
$138$	−3.35471	+	3.35471i	−0.285572	+	0.285572i
$139$	−6.95647	−	4.01632i	−0.590040	−	0.340660i	0.175073	−	0.984555i	$-0.443984\pi$
$139$	−6.95647	−	4.01632i	−0.590040	−	0.340660i	−0.765113	+	0.643896i	$0.777317\pi$
$140$	1.10327	+	7.47408i	0.0932430	+	0.631675i
$141$	−1.30268	+	4.86166i	−0.109705	+	0.409426i
$142$			20.0238i			1.68036i
$143$	0.584848	+	2.50248i	0.0489074	+	0.209268i
$144$	4.30904			0.359087
$145$	0.0678396	−	0.253181i	0.00563378	−	0.0210255i
$146$	1.83446	−	1.05912i	0.151821	−	0.0876537i
$147$	6.70145	−	2.02250i	0.552727	−	0.166813i
$148$	−6.03996	+	6.03996i	−0.496481	+	0.496481i
$149$	−2.13325	−	7.96140i	−0.174763	−	0.652223i	−0.996592	−	0.0824894i	$-0.973713\pi$
$149$	−2.13325	−	7.96140i	−0.174763	−	0.652223i	0.821829	−	0.569734i	$-0.192954\pi$
$150$	−2.86700	−	10.6998i	−0.234089	−	0.873633i
$151$	−4.15300	−	4.15300i	−0.337966	−	0.337966i	0.517635	−	0.855601i	$-0.326812\pi$
$151$	−4.15300	−	4.15300i	−0.337966	−	0.337966i	−0.855601	+	0.517635i	$0.826812\pi$
$152$	14.7017	+	8.48802i	1.19246	+	0.688469i
$153$	2.27300	+	3.93695i	0.183761	+	0.318284i
$154$	−2.76601	+	3.72402i	−0.222892	+	0.300090i
$155$		−	3.52883i		−	0.283442i
$156$	−12.8781	+	6.89197i	−1.03108	+	0.551800i
$157$			14.6163i			1.16651i	0.812291	+	0.583253i	$0.198220\pi$
$157$			14.6163i			1.16651i	−0.812291	+	0.583253i	$0.801780\pi$
$158$	23.3220	+	6.24912i	1.85540	+	0.497154i
$159$	−4.31031	+	2.48856i	−0.341830	+	0.197356i
$160$	0.179373	−	0.310684i	0.0141807	−	0.0245617i
$161$	4.68317	−	2.02629i	0.369085	−	0.159694i
$162$	−0.636667	−	2.37607i	−0.0500213	−	0.186682i
$163$	7.35195	−	1.96995i	0.575849	−	0.154298i	0.0408715	−	0.999164i	$-0.486987\pi$
$163$	7.35195	−	1.96995i	0.575849	−	0.154298i	0.534978	+	0.844866i	$0.320320\pi$
$164$	34.5294	−	34.5294i	2.69630	−	2.69630i
$165$	−0.251210	+	0.435109i	−0.0195567	+	0.0338732i
$166$	−3.92152	−	6.79228i	−0.304369	−	0.527183i
$167$	7.60079	+	2.03663i	0.588167	+	0.157599i	0.540615	−	0.841270i	$-0.318191\pi$
$167$	7.60079	+	2.03663i	0.588167	+	0.157599i	0.0475517	+	0.998869i	$0.484858\pi$
$168$	−12.4112	−	4.91473i	−0.957548	−	0.379180i
$169$	7.21135	−	10.8165i	0.554719	−	0.832038i
$170$	7.88252			0.604562
$171$	0.870835	−	3.25000i	0.0665944	−	0.248534i
$172$	14.9339	+	25.8662i	1.13870	+	1.97228i
$173$	5.36019	−	9.28412i	0.407528	−	0.705859i	−0.587084	−	0.809526i	$-0.699724\pi$
$173$	5.36019	−	9.28412i	0.407528	−	0.705859i	0.994612	+	0.103667i	$0.0330577\pi$
$174$	0.646798	+	0.646798i	0.0490337	+	0.0490337i
$175$	−1.37002	+	11.8351i	−0.103564	+	0.894653i
$176$	2.96669	−	0.794922i	0.223623	−	0.0599195i
$177$	−2.82537	−	2.82537i	−0.212368	−	0.212368i
$178$	−38.7115	−	22.3501i	−2.90155	−	1.67521i
$179$	8.63169	−	4.98351i	0.645163	−	0.372485i	−0.141438	−	0.989947i	$-0.545172\pi$
$179$	8.63169	−	4.98351i	0.645163	−	0.372485i	0.786601	+	0.617462i	$0.211839\pi$
$180$	−2.75825	−	0.739070i	−0.205588	−	0.0550870i
$181$	−3.96508			−0.294722			−0.147361	−	0.989083i	$-0.547078\pi$
$181$	−3.96508			−0.294722			−0.147361	+	0.989083i	$0.547078\pi$
$182$	23.3127	−	2.67726i	1.72805	−	0.198452i
$183$	11.6302			0.859728
$184$	−9.39929	−	2.51853i	−0.692925	−	0.185669i
$185$	1.28715	−	0.743136i	0.0946331	−	0.0546365i
$186$	10.6649	+	6.15739i	0.781990	+	0.451482i
$187$	2.29120	+	2.29120i	0.167549	+	0.167549i
$188$	−19.6949	+	5.27724i	−1.43640	+	0.384882i
$189$	−0.304236	+	2.62820i	−0.0221299	+	0.191173i
$190$	−4.12534	−	4.12534i	−0.299284	−	0.299284i
$191$	−9.17881	+	15.8982i	−0.664155	+	1.15035i	0.315358	+	0.948973i	$0.397875\pi$
$191$	−9.17881	+	15.8982i	−0.664155	+	1.15035i	−0.979514	+	0.201378i	$0.935458\pi$
$192$	−3.68307	−	6.37926i	−0.265803	−	0.460384i
$193$	4.24786	−	15.8532i	0.305767	−	1.14114i	−0.626515	−	0.779409i	$-0.715519\pi$
$193$	4.24786	−	15.8532i	0.305767	−	1.14114i	0.932283	−	0.361731i	$-0.117814\pi$
$194$	22.2531			1.59768
$195$	2.47482	−	0.578382i	0.177225	−	0.0414188i
$196$	20.6696	+	19.4143i	1.47640	+	1.38673i
$197$	5.69553	+	1.52611i	0.405790	+	0.108731i	0.455940	−	0.890011i	$-0.349303\pi$
$197$	5.69553	+	1.52611i	0.405790	+	0.108731i	−0.0501498	+	0.998742i	$0.515970\pi$
$198$	−0.876665	−	1.51843i	−0.0623019	−	0.107910i
$199$	−9.61483	+	16.6534i	−0.681578	+	1.18053i	0.292922	+	0.956136i	$0.405372\pi$
$199$	−9.61483	+	16.6534i	−0.681578	+	1.18053i	−0.974499	+	0.224391i	$0.927961\pi$
$200$	16.0656	−	16.0656i	1.13601	−	1.13601i
$201$	−12.5870	+	3.37267i	−0.887816	+	0.237890i
$202$	−8.62496	−	32.1888i	−0.606850	−	2.26480i
$203$	−0.390675	−	0.902929i	−0.0274200	−	0.0633732i
$204$	−9.20809	+	15.9489i	−0.644695	+	1.11665i
$205$	−7.35842	+	4.24839i	−0.513935	+	0.296720i
$206$	39.1020	+	10.4773i	2.72436	+	0.729991i
$207$			1.92865i			0.134051i
$208$	−13.1978	−	8.19756i	−0.915102	−	0.568398i
$209$		−	2.39821i		−	0.165888i
$210$	3.68285	+	2.73543i	0.254141	+	0.188763i
$211$	−4.61920	−	8.00070i	−0.317999	−	0.550791i	0.662071	−	0.749441i	$-0.269678\pi$
$211$	−4.61920	−	8.00070i	−0.317999	−	0.550791i	−0.980070	+	0.198650i	$0.936344\pi$
$212$	−17.4614	−	10.0813i	−1.19925	−	0.692389i
$213$	5.75592	+	5.75592i	0.394389	+	0.394389i
$214$	10.6430	+	39.7201i	0.727539	+	2.71521i
$215$	−1.34508	−	5.01991i	−0.0917338	−	0.342355i
$216$	3.56765	−	3.56765i	0.242748	−	0.242748i
$217$	−8.22669	−	10.3807i	−0.558464	−	0.704684i
$218$	5.35570	−	3.09212i	0.362734	−	0.209425i
$219$	0.222873	−	0.831772i	0.0150603	−	0.0562060i
$220$	−2.03534			−0.137223
$221$	0.527913	−	16.3823i	0.0355112	−	1.10200i
$222$			5.18675i			0.348112i
$223$	0.482353	−	1.80016i	0.0323007	−	0.120548i	−0.947893	−	0.318589i	$-0.896791\pi$
$223$	0.482353	−	1.80016i	0.0323007	−	0.120548i	0.980194	+	0.198041i	$0.0634578\pi$
$224$	−0.196634	−	1.33210i	−0.0131382	−	0.0890046i
$225$	−3.89983	−	2.25157i	−0.259989	−	0.150104i
$226$	−10.3061	+	10.3061i	−0.685549	+	0.685549i
$227$	5.38143	−	1.44195i	0.357178	−	0.0957056i	−0.0757678	−	0.997125i	$-0.524141\pi$
$227$	5.38143	−	1.44195i	0.357178	−	0.0957056i	0.432946	+	0.901420i	$0.357474\pi$
$228$	13.1660	−	3.52781i	0.871938	−	0.233635i
$229$	0.153144	−	0.153144i	0.0101200	−	0.0101200i	−0.702029	−	0.712149i	$-0.747722\pi$
$229$	0.153144	−	0.153144i	0.0101200	−	0.0101200i	0.712149	+	0.702029i	$0.247722\pi$
$230$	2.89615	+	1.67209i	0.190966	+	0.110254i
$231$	0.275384	+	1.86559i	0.0181189	+	0.122747i
$232$	−0.485580	+	1.81221i	−0.0318799	+	0.118977i
$233$		−	19.7822i		−	1.29598i	−0.761650	−	0.647989i	$-0.775610\pi$
$233$		−	19.7822i		−	1.29598i	0.761650	−	0.647989i	$-0.224390\pi$
$234$	−2.57027	+	8.48868i	−0.168024	+	0.554922i
$235$	3.54781			0.231434
$236$	4.18944	−	15.6352i	0.272710	−	1.01777i
$237$	8.50036	−	4.90769i	0.552158	−	0.318788i
$238$	23.1878	−	18.3764i	1.50304	−	1.19116i
$239$	−0.636908	+	0.636908i	−0.0411982	+	0.0411982i	−0.727406	−	0.686208i	$-0.759274\pi$
$239$	−0.636908	+	0.636908i	−0.0411982	+	0.0411982i	0.686208	+	0.727406i	$0.259274\pi$
$240$	−0.786133	−	2.93389i	−0.0507447	−	0.189382i
$241$	−5.16499	−	19.2760i	−0.332706	−	1.24168i	−0.906335	−	0.422561i	$-0.861131\pi$
$241$	−5.16499	−	19.2760i	−0.332706	−	1.24168i	0.573629	−	0.819116i	$-0.305535\pi$
$242$	18.2498	+	18.2498i	1.17314	+	1.17314i
$243$	−0.866025	−	0.500000i	−0.0555556	−	0.0320750i
$244$	23.5574	+	40.8025i	1.50811	+	2.61212i
$245$	−2.59966	−	4.19383i	−0.166086	−	0.267934i
$246$		−	29.6518i		−	1.89053i
$247$	−8.85003	+	8.29746i	−0.563114	+	0.527955i
$248$			25.2585i			1.60392i
$249$	−3.07973	−	0.825211i	−0.195170	−	0.0522956i
$250$	−14.2703	+	8.23896i	−0.902533	+	0.521078i
$251$	−14.0053	+	24.2580i	−0.884010	+	1.53115i	−0.0371651	+	0.999309i	$0.511833\pi$
$251$	−14.0053	+	24.2580i	−0.884010	+	1.53115i	−0.846845	+	0.531840i	$0.821501\pi$
$252$	−9.83684	+	4.25615i	−0.619663	+	0.268112i
$253$	0.355793	+	1.32784i	0.0223685	+	0.0834805i
$254$	−47.7858	+	12.8042i	−2.99835	+	0.803405i
$255$	2.26587	−	2.26587i	0.141894	−	0.141894i
$256$	16.1723	−	28.0113i	1.01077	−	1.75070i
$257$	4.51978	+	7.82849i	0.281936	+	0.488328i	0.971862	−	0.235553i	$-0.0756900\pi$
$257$	4.51978	+	7.82849i	0.281936	+	0.488328i	−0.689925	+	0.723880i	$0.742357\pi$
$258$	17.5183	+	4.69402i	1.09064	+	0.292237i
$259$	2.05391	−	5.18677i	0.127624	−	0.322290i
$260$	7.04199	+	7.51095i	0.436726	+	0.465809i
$261$	0.371850			0.0230169
$262$	−7.69071	+	28.7021i	−0.475134	+	1.77322i
$263$	−11.6573	−	20.1910i	−0.718819	−	1.24503i	−0.961468	−	0.274917i	$-0.911350\pi$
$263$	−11.6573	−	20.1910i	−0.718819	−	1.24503i	0.242649	−	0.970114i	$-0.421984\pi$
$264$	1.79810	−	3.11441i	0.110666	−	0.191678i
$265$	2.48075	+	2.48075i	0.152391	+	0.152391i
$266$	−21.7527	−	2.51806i	−1.33375	−	0.154392i
$267$	−17.5524	+	4.70315i	−1.07419	+	0.287828i
$268$	−37.3278	−	37.3278i	−2.28016	−	2.28016i
$269$	−24.9574	−	14.4092i	−1.52168	−	0.878543i	−0.999672	−	0.0256040i	$-0.991849\pi$
$269$	−24.9574	−	14.4092i	−1.52168	−	0.878543i	−0.522010	−	0.852939i	$-0.674818\pi$
$270$	−1.50164	+	0.866973i	−0.0913870	+	0.0527623i
$271$	−11.9008	−	3.18880i	−0.722920	−	0.193706i	−0.121446	−	0.992598i	$-0.538753\pi$
$271$	−11.9008	−	3.18880i	−0.722920	−	0.193706i	−0.601474	+	0.798892i	$0.705420\pi$
$272$	−19.5889			−1.18775
$273$	5.93173	−	7.47091i	0.359005	−	0.452160i
$274$	−35.6236			−2.15210
$275$	−3.10032	−	0.830728i	−0.186956	−	0.0500948i
$276$	−6.76635	+	3.90656i	−0.407287	+	0.235147i
$277$	−12.3959	−	7.15677i	−0.744797	−	0.430009i	0.0790140	−	0.996874i	$-0.474823\pi$
$277$	−12.3959	−	7.15677i	−0.744797	−	0.430009i	−0.823811	+	0.566865i	$0.808156\pi$
$278$	−13.9720	−	13.9720i	−0.837987	−	0.837987i
$279$	4.83565	−	1.29571i	0.289503	−	0.0775720i
$280$	−1.08200	+	9.34706i	−0.0646619	+	0.558594i
$281$	−10.7886	−	10.7886i	−0.643591	−	0.643591i	0.307845	−	0.951437i	$-0.400392\pi$
$281$	−10.7886	−	10.7886i	−0.643591	−	0.643591i	−0.951437	+	0.307845i	$0.900392\pi$
$282$	−6.19052	+	10.7223i	−0.368640	+	0.638503i
$283$	−6.96923	−	12.0711i	−0.414278	−	0.717550i	0.581075	−	0.813850i	$-0.302632\pi$
$283$	−6.96923	−	12.0711i	−0.414278	−	0.717550i	−0.995352	+	0.0963004i	$0.969299\pi$
$284$	−8.53485	+	31.8525i	−0.506450	+	1.89010i
$285$	−2.37170			−0.140487
$286$	−0.203609	+	6.31844i	−0.0120396	+	0.373617i
$287$	−11.7419	+	29.6519i	−0.693101	+	1.75030i
$288$	0.491600	+	0.131724i	0.0289678	+	0.00776190i
$289$	−1.83307	−	3.17497i	−0.107828	−	0.186763i
$290$	0.322384	−	0.558385i	0.0189310	−	0.0327895i
$291$	6.39674	−	6.39674i	0.374983	−	0.374983i
$292$	3.36957	−	0.902873i	0.197189	−	0.0528367i
$293$	−4.49081	−	16.7599i	−0.262356	−	0.979126i	−0.963849	−	0.266450i	$-0.914149\pi$
$293$	−4.49081	−	16.7599i	−0.262356	−	0.979126i	0.701493	−	0.712677i	$-0.252517\pi$
$294$	17.2108	−	0.539020i	1.00375	−	0.0314363i
$295$	−1.40825	+	2.43916i	−0.0819915	+	0.142013i
$296$	−9.21312	+	5.31920i	−0.535502	+	0.309172i
$297$	−0.688480	−	0.184478i	−0.0399497	−	0.0107045i
$298$		−	20.2750i		−	1.17450i
$299$	3.66909	−	5.90711i	0.212189	−	0.341617i
$300$		−	18.2425i		−	1.05323i
$301$	−15.6596	−	11.6312i	−0.902606	−	0.670409i
$302$	−7.22375	−	12.5119i	−0.415680	−	0.719980i
$303$	−11.7321	−	6.77353i	−0.673991	−	0.389129i
$304$	10.2519	+	10.2519i	0.587988	+	0.587988i
$305$	−2.12179	−	7.91863i	−0.121493	−	0.453419i
$306$	2.89429	+	10.8016i	0.165456	+	0.617489i
$307$	−14.5281	+	14.5281i	−0.829164	+	0.829164i	−0.987401	−	0.158237i	$-0.949419\pi$
$307$	−14.5281	+	14.5281i	−0.829164	+	0.829164i	0.158237	+	0.987401i	$0.449419\pi$
$308$	−5.98730	+	4.74495i	−0.341158	+	0.270369i
$309$	14.2518	−	8.22827i	0.810756	−	0.468090i
$310$	2.24669	−	8.38475i	0.127603	−	0.476222i
$311$	7.52888			0.426924			0.213462	−	0.976951i	$-0.431526\pi$
$311$	7.52888			0.426924			0.213462	+	0.976951i	$0.431526\pi$
$312$	−17.7142	+	4.13992i	−1.00287	+	0.234377i
$313$			7.90713i			0.446938i	0.974711	+	0.223469i	$0.0717381\pi$
$313$			7.90713i			0.446938i	−0.974711	+	0.223469i	$0.928262\pi$
$314$	−9.30570	+	34.7293i	−0.525151	+	1.95989i
$315$	1.84496	−	0.272339i	0.103952	−	0.0153446i
$316$	34.4356	+	19.8814i	1.93715	+	1.11842i
$317$	12.2598	−	12.2598i	0.688580	−	0.688580i	−0.273338	−	0.961918i	$-0.588128\pi$
$317$	12.2598	−	12.2598i	0.688580	−	0.688580i	0.961918	+	0.273338i	$0.0881278\pi$
$318$	−11.8260	+	3.16877i	−0.663169	+	0.177696i
$319$	0.256011	−	0.0685980i	0.0143339	−	0.00384075i
$320$	−3.67151	+	3.67151i	−0.205243	+	0.205243i
$321$	14.4771	+	8.35835i	0.808033	+	0.466518i
$322$	12.4176	−	1.83299i	0.692007	−	0.102149i
$323$	−3.95882	+	14.7745i	−0.220274	+	0.822075i
$324$		−	4.05107i		−	0.225060i
$325$	7.66105	+	14.3152i	0.424959	+	0.794065i
$326$	18.7230			1.03697
$327$	0.650678	−	2.42836i	0.0359826	−	0.134289i
$328$	52.6699	−	30.4090i	2.90821	−	1.67905i
$329$	10.4365	−	8.27095i	0.575383	−	0.455992i
$330$	−0.873913	+	0.873913i	−0.0481073	+	0.0481073i
$331$	1.27846	+	4.77126i	0.0702703	+	0.262252i	0.992119	−	0.125297i	$-0.0399884\pi$
$331$	1.27846	+	4.77126i	0.0702703	+	0.262252i	−0.921849	+	0.387549i	$0.873322\pi$
$332$	−3.34299	−	12.4762i	−0.183470	−	0.684720i
$333$	1.49095	+	1.49095i	0.0817037	+	0.0817037i
$334$	16.7634	+	9.67835i	0.917252	+	0.529576i
$335$	4.59269	+	7.95477i	0.250925	+	0.434615i
$336$	−9.15227	−	6.79784i	−0.499297	−	0.370853i
$337$			7.35624i			0.400720i	0.979722	+	0.200360i	$0.0642112\pi$
$337$			7.35624i			0.400720i	−0.979722	+	0.200360i	$0.935789\pi$
$338$	24.0212	−	21.1095i	1.30658	−	1.14821i
$339$			5.92505i			0.321804i
$340$	12.5390	+	3.35982i	0.680023	+	0.182212i
$341$	3.09022	−	1.78414i	0.167345	−	0.0966165i
$342$	4.13833	−	7.16781i	0.223775	−	0.387591i
$343$	−17.4243	−	6.27632i	−0.940826	−	0.338890i
$344$	9.62778	+	35.9314i	0.519095	+	1.93729i
$345$	1.31316	−	0.351860i	0.0706981	−	0.0189435i
$346$	18.6471	−	18.6471i	1.00247	−	1.00247i
$347$	1.58494	−	2.74519i	0.0850839	−	0.147370i	−0.820343	−	0.571872i	$-0.806218\pi$
$347$	1.58494	−	2.74519i	0.0850839	−	0.147370i	0.905427	+	0.424502i	$0.139551\pi$
$348$	0.753196	+	1.30457i	0.0403755	+	0.0699325i
$349$	−26.0697	−	6.98534i	−1.39548	−	0.373917i	−0.518758	−	0.854921i	$-0.673605\pi$
$349$	−26.0697	−	6.98534i	−1.39548	−	0.373917i	−0.876718	+	0.481004i	$0.840272\pi$
$350$	−10.7903	+	27.2489i	−0.576766	+	1.45652i
$351$	1.70127	+	3.17894i	0.0908072	+	0.169679i
$352$	0.362757			0.0193350
$353$	−1.36374	+	5.08954i	−0.0725845	+	0.270889i	−0.992675	−	0.120817i	$-0.961448\pi$
$353$	−1.36374	+	5.08954i	−0.0725845	+	0.270889i	0.920090	+	0.391706i	$0.128115\pi$
$354$	−4.91447	−	8.51210i	−0.261201	−	0.452413i
$355$	2.86893	−	4.96913i	0.152267	−	0.263734i
$356$	−52.0533	−	52.0533i	−2.75882	−	2.75882i
$357$	1.38306	−	11.9478i	0.0731993	−	0.632345i
$358$	23.6824	−	6.34567i	1.25165	−	0.335379i
$359$	17.8470	+	17.8470i	0.941927	+	0.941927i	0.998404	−	0.0564767i	$-0.0179867\pi$
$359$	17.8470	+	17.8470i	0.941927	+	0.941927i	−0.0564767	+	0.998404i	$0.517987\pi$
$360$	−3.07997	−	1.77822i	−0.162329	−	0.0937206i
$361$	−6.65034	+	3.83958i	−0.350018	+	0.202083i
$362$	−9.42133	−	2.52444i	−0.495174	−	0.132682i
$363$	10.4920			0.550685
$364$	38.2254	+	5.67788i	2.00355	+	0.297602i
$365$	−0.606988			−0.0317712
$366$	27.6342	+	7.40456i	1.44446	+	0.387042i
$367$	28.6206	−	16.5241i	1.49398	−	0.862551i	0.494006	−	0.869458i	$-0.335532\pi$
$367$	28.6206	−	16.5241i	1.49398	−	0.862551i	0.999976	+	0.00690739i	$0.00219871\pi$
$368$	−7.19723	−	4.15532i	−0.375181	−	0.216611i
$369$	−8.52353	−	8.52353i	−0.443717	−	0.443717i
$370$	3.53149	−	0.946261i	0.183594	−	0.0491938i
$371$	13.0809	+	1.51422i	0.679125	+	0.0786144i
$372$	14.3405	+	14.3405i	0.743523	+	0.743523i
$373$	13.8983	−	24.0726i	0.719627	−	1.24643i	−0.241521	−	0.970396i	$-0.577646\pi$
$373$	13.8983	−	24.0726i	0.719627	−	1.24643i	0.961148	−	0.276035i	$-0.0890204\pi$
$374$	3.98532	+	6.90278i	0.206076	+	0.356934i
$375$	−1.73373	+	6.47039i	−0.0895297	+	0.334129i
$376$	−25.3944			−1.30962
$377$	−1.13891	−	0.707411i	−0.0586567	−	0.0364335i
$378$	−2.39618	+	6.05110i	−0.123246	+	0.311235i
$379$	14.6943	+	3.93733i	0.754797	+	0.202247i	0.615645	−	0.788024i	$-0.288896\pi$
$379$	14.6943	+	3.93733i	0.754797	+	0.202247i	0.139152	+	0.990271i	$0.455562\pi$
$380$	−4.80395	−	8.32069i	−0.246438	−	0.426843i
$381$	−10.0556	+	17.4169i	−0.515165	+	0.892293i
$382$	−31.9314	+	31.9314i	−1.63375	+	1.63375i
$383$	8.30637	−	2.22568i	0.424436	−	0.113727i	−0.0402774	−	0.999189i	$-0.512824\pi$
$383$	8.30637	−	2.22568i	0.424436	−	0.113727i	0.464713	+	0.885461i	$0.346158\pi$
$384$	−4.95322	−	18.4857i	−0.252768	−	0.943344i
$385$	1.21998	−	0.527855i	0.0621759	−	0.0269020i
$386$	20.1864	−	34.9639i	1.02746	−	1.77962i
$387$	6.38504	−	3.68640i	0.324570	−	0.187390i
$388$	35.3987	+	9.48505i	1.79710	+	0.481530i
$389$			11.3461i			0.575268i	0.957740	+	0.287634i	$0.0928686\pi$
$389$			11.3461i			0.575268i	−0.957740	+	0.287634i	$0.907131\pi$
$390$	6.24859	+	0.201358i	0.316410	+	0.0101961i
$391$		−	8.76766i		−	0.443400i
$392$	18.6078	+	30.0184i	0.939834	+	1.51616i
$393$	6.03982	+	10.4613i	0.304669	+	0.527702i
$394$	12.5614	+	7.25232i	0.632833	+	0.365366i
$395$	−4.89228	−	4.89228i	−0.246157	−	0.246157i
$396$	−0.747332	−	2.78908i	−0.0375549	−	0.140157i
$397$	−4.16966	−	15.5614i	−0.209269	−	0.781003i	−0.988106	−	0.153776i	$-0.950856\pi$
$397$	−4.16966	−	15.5614i	−0.209269	−	0.781003i	0.778836	−	0.627227i	$-0.215810\pi$
$398$	−33.4482	+	33.4482i	−1.67661	+	1.67661i
$399$	−6.97675	+	5.52909i	−0.349274	+	0.276801i
$400$	16.8045	−	9.70209i	0.840226	−	0.485105i
$401$	−9.35796	+	34.9244i	−0.467314	+	1.74404i	0.181787	+	0.983338i	$0.441812\pi$
$401$	−9.35796	+	34.9244i	−0.467314	+	1.74404i	−0.649101	+	0.760702i	$0.724855\pi$
$402$	−32.0548			−1.59875
$403$	−17.2757	−	5.23087i	−0.860562	−	0.260568i
$404$		−	54.8801i		−	2.73039i
$405$	−0.182438	+	0.680869i	−0.00906543	+	0.0338326i
$406$	−0.353407	−	2.39416i	−0.0175393	−	0.118820i
$407$	1.30154	+	0.751444i	0.0645149	+	0.0372477i
$408$	−16.2185	+	16.2185i	−0.802937	+	0.802937i
$409$	13.9857	−	3.74745i	0.691547	−	0.185300i	0.104106	−	0.994566i	$-0.466802\pi$
$409$	13.9857	−	3.74745i	0.691547	−	0.185300i	0.587441	+	0.809267i	$0.300135\pi$
$410$	−20.1890	+	5.40962i	−0.997062	+	0.267162i
$411$	−10.2402	+	10.2402i	−0.505110	+	0.505110i
$412$	57.7350	+	33.3333i	2.84440	+	1.64221i
$413$	1.54376	+	10.4582i	0.0759637	+	0.514616i
$414$	−1.22791	+	4.58262i	−0.0603485	+	0.225224i
$415$			2.24744i			0.110322i
$416$	−1.25509	−	1.33867i	−0.0615357	−	0.0656337i
$417$	−8.03264			−0.393360
$418$	1.52686	−	5.69832i	0.0746812	−	0.278714i
$419$	19.0889	−	11.0210i	0.932553	−	0.538410i	0.0449347	−	0.998990i	$-0.485692\pi$
$419$	19.0889	−	11.0210i	0.932553	−	0.538410i	0.887618	+	0.460580i	$0.152359\pi$
$420$	4.69250	+	5.92111i	0.228970	+	0.288921i
$421$	−7.69603	+	7.69603i	−0.375082	+	0.375082i	−0.869324	−	0.494243i	$-0.835445\pi$
$421$	−7.69603	+	7.69603i	−0.375082	+	0.375082i	0.494243	+	0.869324i	$0.335445\pi$
$422$	−5.88179	−	21.9511i	−0.286321	−	1.06856i
$423$	1.30268	+	4.86166i	0.0633384	+	0.236382i
$424$	−17.7566	−	17.7566i	−0.862338	−	0.862338i
$425$	17.7286	+	10.2356i	0.859965	+	0.496501i
$426$	10.0119	+	17.3411i	0.485078	+	0.840179i
$427$	−24.7022	−	18.3475i	−1.19542	−	0.887898i
$428$			67.7206i			3.27340i
$429$	1.75774	+	1.87479i	0.0848643	+	0.0905158i
$430$		−	12.7840i		−	0.616502i
$431$	−26.2932	−	7.04525i	−1.26650	−	0.339358i	−0.437812	−	0.899067i	$-0.644246\pi$
$431$	−26.2932	−	7.04525i	−1.26650	−	0.339358i	−0.828689	+	0.559709i	$0.810913\pi$
$432$	3.73174	−	2.15452i	0.179543	−	0.103659i
$433$	−6.55214	+	11.3486i	−0.314876	+	0.545381i	−0.979411	−	0.201876i	$-0.935296\pi$
$433$	−6.55214	+	11.3486i	−0.314876	+	0.545381i	0.664535	+	0.747257i	$0.268629\pi$
$434$	−12.9382	−	29.9029i	−0.621054	−	1.43538i
$435$	−0.0678396	−	0.253181i	−0.00325266	−	0.0121391i
$436$	9.83747	−	2.63594i	0.471129	−	0.126239i
$437$	−4.58858	+	4.58858i	−0.219502	+	0.219502i
$438$	1.05912	−	1.83446i	0.0506069	−	0.0876537i
$439$	19.9333	+	34.5255i	0.951364	+	1.64781i	0.742477	+	0.669872i	$0.233651\pi$
$439$	19.9333	+	34.5255i	0.951364	+	1.64781i	0.208887	+	0.977940i	$0.433016\pi$
$440$	−2.44854	−	0.656085i	−0.116730	−	0.0312776i
$441$	4.79238	−	5.10227i	0.228208	−	0.242965i
$442$	11.6845	−	38.5896i	0.555773	−	1.83552i
$443$	23.0066			1.09308			0.546539	−	0.837433i	$-0.315945\pi$
$443$	23.0066			1.09308			0.546539	+	0.837433i	$0.315945\pi$
$444$	−2.21078	+	8.25074i	−0.104919	+	0.391563i
$445$	6.40446	+	11.0928i	0.303600	+	0.525851i
$446$	2.29221	−	3.97023i	0.108539	−	0.187996i
$447$	−5.82815	−	5.82815i	−0.275662	−	0.275662i
$448$	−2.24105	+	19.3597i	−0.105880	+	0.914659i
$449$	15.6281	−	4.18754i	0.737536	−	0.197622i	0.129553	−	0.991572i	$-0.458646\pi$
$449$	15.6281	−	4.18754i	0.737536	−	0.197622i	0.607983	+	0.793950i	$0.291979\pi$
$450$	−7.83278	−	7.83278i	−0.369241	−	0.369241i
$451$	−7.44068	−	4.29588i	−0.350368	−	0.202285i
$452$	−20.7870	+	12.0014i	−0.977739	+	0.564498i
$453$	−5.67310	−	1.52010i	−0.266546	−	0.0714207i
$454$	13.7047			0.643194
$455$	−6.16888	−	2.67575i	−0.289202	−	0.125441i
$456$	16.9760			0.794976
$457$	0.658952	+	0.176566i	0.0308245	+	0.00825939i	0.274198	−	0.961673i	$-0.411588\pi$
$457$	0.658952	+	0.176566i	0.0308245	+	0.00825939i	−0.243374	+	0.969933i	$0.578254\pi$
$458$	0.461383	−	0.266380i	0.0215590	−	0.0124471i
$459$	3.93695	+	2.27300i	0.183761	+	0.106095i
$460$	3.89429	+	3.89429i	0.181572	+	0.181572i
$461$	8.08252	−	2.16570i	0.376440	−	0.100867i	−0.0656375	−	0.997844i	$-0.520908\pi$
$461$	8.08252	−	2.16570i	0.376440	−	0.100867i	0.442078	+	0.896977i	$0.354241\pi$
$462$	−0.533427	+	4.60810i	−0.0248173	+	0.214388i
$463$	22.3879	+	22.3879i	1.04045	+	1.04045i	0.999146	+	0.0413082i	$0.0131525\pi$
$463$	22.3879	+	22.3879i	1.04045	+	1.04045i	0.0413082	+	0.999146i	$0.486847\pi$
$464$	−0.801158	+	1.38765i	−0.0371928	+	0.0644199i
$465$	−1.76441	−	3.05605i	−0.0818227	−	0.141721i
$466$	12.5947	−	47.0041i	0.583438	−	2.17742i
$467$	−13.5832			−0.628554			−0.314277	−	0.949331i	$-0.601762\pi$
$467$	−13.5832			−0.628554			−0.314277	+	0.949331i	$0.601762\pi$
$468$	−7.70680	+	12.4077i	−0.356247	+	0.573546i
$469$	32.0550	+	12.6935i	1.48016	+	0.586130i
$470$	8.42986	+	2.25877i	0.388840	+	0.104189i
$471$	7.30813	+	12.6581i	0.336741	+	0.583253i
$472$	10.0799	−	17.4589i	0.463966	−	0.803613i
$473$	3.71591	−	3.71591i	0.170858	−	0.170858i
$474$	23.3220	−	6.24912i	1.07122	−	0.287032i
$475$	−3.92148	−	14.6352i	−0.179930	−	0.671508i
$476$	44.7183	−	19.3485i	2.04966	−	0.886836i
$477$	−2.48856	+	4.31031i	−0.113943	+	0.197356i
$478$	−1.91884	+	1.10784i	−0.0877656	+	0.0506715i
$479$	−4.03229	−	1.08045i	−0.184240	−	0.0493669i	0.165519	−	0.986207i	$-0.447070\pi$
$479$	−4.03229	−	1.08045i	−0.184240	−	0.0493669i	−0.349759	+	0.936840i	$0.613737\pi$
$480$		−	0.358746i		−	0.0163745i
$481$	−1.73011	−	7.40292i	−0.0788863	−	0.337544i
$482$		−	49.0896i		−	2.23597i
$483$	3.04260	−	4.09640i	0.138443	−	0.186393i
$484$	21.2518	+	36.8093i	0.965993	+	1.67315i
$485$	−5.52235	−	3.18833i	−0.250757	−	0.144775i
$486$	−1.73941	−	1.73941i	−0.0789011	−	0.0789011i
$487$	4.28159	+	15.9791i	0.194018	+	0.724083i	0.992519	+	0.122090i	$0.0389598\pi$
$487$	4.28159	+	15.9791i	0.194018	+	0.724083i	−0.798501	+	0.601993i	$0.794374\pi$
$488$	15.1873	+	56.6797i	0.687496	+	2.56577i
$489$	5.38200	−	5.38200i	0.243383	−	0.243383i
$490$	−3.50691	−	11.6200i	−0.158426	−	0.524936i
$491$	27.7156	−	16.0016i	1.25079	−	0.722143i	0.279523	−	0.960139i	$-0.409824\pi$
$491$	27.7156	−	16.0016i	1.25079	−	0.722143i	0.971266	+	0.237996i	$0.0764905\pi$
$492$	12.6387	−	47.1681i	0.569795	−	2.12650i
$493$	−1.69043			−0.0761332
$494$	−26.3111	+	14.0809i	−1.18379	+	0.633528i
$495$			0.502420i			0.0225821i
$496$	−5.58326	+	20.8370i	−0.250696	+	0.935609i
$497$	−3.14500	−	21.3058i	−0.141073	−	0.955697i
$498$	−6.79228	−	3.92152i	−0.304369	−	0.175728i
$499$	−14.4246	+	14.4246i	−0.645734	+	0.645734i	−0.951959	−	0.306225i	$-0.900934\pi$
$499$	−14.4246	+	14.4246i	−0.645734	+	0.645734i	0.306225	+	0.951959i	$0.400934\pi$
$500$	−26.2120	+	7.02348i	−1.17224	+	0.314100i
$501$	7.60079	−	2.03663i	0.339578	−	0.0909898i
$502$	−48.7220	+	48.7220i	−2.17457	+	2.17457i
$503$	23.6349	+	13.6456i	1.05383	+	0.608427i	0.923718	−	0.383072i	$-0.125134\pi$
$503$	23.6349	+	13.6456i	1.05383	+	0.608427i	0.130109	+	0.991500i	$0.458467\pi$
$504$	−13.2058	+	1.94934i	−0.588234	+	0.0868305i
$505$	−2.47150	+	9.22376i	−0.109980	+	0.410452i
$506$			3.38157i			0.150329i
$507$	0.836968	−	12.9730i	0.0371710	−	0.576152i
$508$	−81.4721			−3.61474
$509$	8.17110	−	30.4949i	0.362177	−	1.35166i	−0.509030	−	0.860749i	$-0.669996\pi$
$509$	8.17110	−	30.4949i	0.362177	−	1.35166i	0.871207	−	0.490916i	$-0.163338\pi$
$510$	6.82647	−	3.94126i	0.302281	−	0.174522i
$511$	−1.78556	+	1.41506i	−0.0789885	+	0.0625986i
$512$	29.1956	−	29.1956i	1.29027	−	1.29027i
$513$	−0.870835	−	3.25000i	−0.0384483	−	0.143491i
$514$	5.75519	+	21.4787i	0.253851	+	0.947383i
$515$	−8.20244	−	8.20244i	−0.361443	−	0.361443i
$516$	25.8662	+	14.9339i	1.13870	+	0.657428i
$517$	1.79374	+	3.10684i	0.0788884	+	0.136639i
$518$	8.18249	−	11.0165i	0.359518	−	0.484037i
$519$		−	10.7204i		−	0.470572i
$520$	6.05048	+	11.3057i	0.265331	+	0.495790i
$521$			13.1042i			0.574107i	0.957915	+	0.287054i	$0.0926758\pi$
$521$			13.1042i			0.574107i	−0.957915	+	0.287054i	$0.907324\pi$
$522$	0.883543	+	0.236745i	0.0386716	+	0.0103620i
$523$	7.44365	−	4.29760i	0.325488	−	0.187921i	−0.328348	−	0.944557i	$-0.606492\pi$
$523$	7.44365	−	4.29760i	0.325488	−	0.187921i	0.653836	+	0.756636i	$0.273159\pi$
$524$	−24.4678	+	42.3794i	−1.06888	+	1.85135i
$525$	4.73110	+	10.9345i	0.206482	+	0.477223i
$526$	−14.8436	−	55.3971i	−0.647212	−	2.41543i
$527$	−21.9829	+	5.89029i	−0.957589	+	0.256585i
$528$	2.17177	−	2.17177i	0.0945140	−	0.0945140i
$529$	−9.64015	+	16.6972i	−0.419137	+	0.725966i
$530$	4.31503	+	7.47385i	0.187433	+	0.324643i
$531$	−3.85953	−	1.03416i	−0.167489	−	0.0448786i
$532$	−33.5295	−	13.2774i	−1.45369	−	0.575647i
$533$	9.89076	+	42.3213i	0.428417	+	1.83314i
$534$	−44.7002			−1.93437
$535$	3.04977	−	11.3819i	0.131853	−	0.492082i
$536$	−32.8734	−	56.9384i	−1.41991	−	2.45936i
$537$	4.98351	−	8.63169i	0.215054	−	0.372485i
$538$	−50.1269	−	50.1269i	−2.16112	−	2.16112i
$539$	2.35820	−	4.39689i	0.101575	−	0.189388i
$540$	−2.75825	+	0.739070i	−0.118696	+	0.0318045i
$541$	6.09190	+	6.09190i	0.261911	+	0.261911i	0.825830	−	0.563919i	$-0.190707\pi$
$541$	6.09190	+	6.09190i	0.261911	+	0.261911i	−0.563919	+	0.825830i	$0.690707\pi$
$542$	−26.2469	−	15.1537i	−1.12740	−	0.650905i
$543$	−3.43386	+	1.98254i	−0.147361	+	0.0850790i
$544$	−2.23482	−	0.598817i	−0.0958169	−	0.0256741i
$545$	−1.77210			−0.0759086
$546$	18.8507	−	13.9749i	0.806736	−	0.598071i
$547$	30.2438			1.29313			0.646566	−	0.762858i	$-0.276205\pi$
$547$	30.2438			1.29313			0.646566	+	0.762858i	$0.276205\pi$
$548$	−56.6677	−	15.1841i	−2.42072	−	0.648631i
$549$	10.0720	−	5.81509i	0.429864	−	0.248182i
$550$	−6.83769	−	3.94774i	−0.291560	−	0.168332i
$551$	0.884692	+	0.884692i	0.0376892	+	0.0376892i
$552$	−9.39929	+	2.51853i	−0.400060	+	0.107196i
$553$	−25.7968	−	2.98619i	−1.09699	−	0.126986i
$554$	−24.8971	−	24.8971i	−1.05778	−	1.05778i
$555$	0.743136	−	1.28715i	0.0315444	−	0.0546365i
$556$	−16.2704	−	28.1812i	−0.690019	−	1.19515i
$557$	−11.7586	+	43.8837i	−0.498228	+	1.85941i	0.0129131	+	0.999917i	$0.495890\pi$
$557$	−11.7586	+	43.8837i	−0.498228	+	1.85941i	−0.511141	+	0.859497i	$0.670777\pi$
$558$	12.3148			0.521327
$559$	−26.5692	−	0.856180i	−1.12376	−	0.0362126i
$560$	−2.95871	+	7.47168i	−0.125028	+	0.315736i
$561$	3.12983	+	0.838636i	0.132142	+	0.0354072i
$562$	−18.7657	−	32.5031i	−0.791583	−	1.37106i
$563$	−12.5992	+	21.8224i	−0.530992	+	0.919704i	0.468354	+	0.883541i	$0.344847\pi$
$563$	−12.5992	+	21.8224i	−0.530992	+	0.919704i	−0.999346	+	0.0361636i	$0.988486\pi$
$564$	−14.4177	+	14.4177i	−0.607095	+	0.607095i
$565$	4.03418	−	1.08095i	0.169719	−	0.0454761i
$566$	−8.87415	−	33.1188i	−0.373009	−	1.39209i
$567$	1.05062	+	2.42821i	0.0441221	+	0.101975i
$568$	−20.5351	+	35.5679i	−0.861634	+	1.49239i
$569$	13.9572	−	8.05819i	0.585116	−	0.337817i	−0.178048	−	0.984022i	$-0.556978\pi$
$569$	13.9572	−	8.05819i	0.585116	−	0.337817i	0.763164	+	0.646205i	$0.223645\pi$
$570$	−5.63532	−	1.50998i	−0.236038	−	0.0632461i
$571$		−	13.5825i		−	0.568409i	−0.958764	−	0.284204i	$-0.908271\pi$
$571$		−	13.5825i		−	0.568409i	0.958764	−	0.284204i	$-0.0917294\pi$
$572$	−3.01703	+	9.96418i	−0.126149	+	0.416623i
$573$			18.3576i			0.766900i
$574$	−46.7780	+	62.9795i	−1.95247	+	2.62871i
$575$	4.34249	+	7.52142i	0.181094	+	0.313665i
$576$	−6.37926	−	3.68307i	−0.265803	−	0.153461i
$577$	33.5657	+	33.5657i	1.39736	+	1.39736i	0.807528	+	0.589829i	$0.200805\pi$
$577$	33.5657	+	33.5657i	1.39736	+	1.39736i	0.589829	+	0.807528i	$0.299195\pi$
$578$	−2.33411	−	8.71103i	−0.0970863	−	0.362331i
$579$	−4.24786	−	15.8532i	−0.176535	−	0.658837i
$580$	0.750831	−	0.750831i	0.0311766	−	0.0311766i
$581$	5.23942	+	6.61123i	0.217368	+	0.274280i
$582$	19.2717	−	11.1265i	0.798838	−	0.461209i
$583$	−0.918168	+	3.42665i	−0.0380266	+	0.141917i
$584$	4.34468			0.179784
$585$	1.85406	−	1.73830i	0.0766562	−	0.0718700i
$586$		−	42.6820i		−	1.76318i
$587$	−6.29368	+	23.4883i	−0.259768	+	0.969467i	0.705607	+	0.708603i	$0.250674\pi$
$587$	−6.29368	+	23.4883i	−0.259768	+	0.969467i	−0.965375	+	0.260864i	$0.915992\pi$
$588$	27.6076	+	6.47843i	1.13852	+	0.267166i
$589$	14.5875	+	8.42210i	0.601067	+	0.347026i
$590$	−4.89904	+	4.89904i	−0.201690	+	0.201690i
$591$	5.69553	−	1.52611i	0.234283	−	0.0627759i
$592$	−8.77613	+	2.35156i	−0.360697	+	0.0966484i
$593$	−10.0628	+	10.0628i	−0.413231	+	0.413231i	−0.882863	−	0.469631i	$-0.844387\pi$
$593$	−10.0628	+	10.0628i	−0.413231	+	0.413231i	0.469631	+	0.882863i	$0.344387\pi$
$594$	−1.51843	−	0.876665i	−0.0623019	−	0.0359700i
$595$	−8.38721	+	1.23805i	−0.343842	+	0.0507553i
$596$	8.64195	−	32.2522i	0.353988	−	1.32110i
$597$			19.2297i			0.787018i
$598$	12.4789	−	11.6997i	0.510299	−	0.478438i
$599$	15.7719			0.644422			0.322211	−	0.946668i	$-0.395574\pi$
$599$	15.7719			0.644422			0.322211	+	0.946668i	$0.395574\pi$
$600$	5.88042	−	21.9460i	0.240067	−	0.895942i
$601$	18.2565	−	10.5404i	0.744698	−	0.429952i	−0.0790767	−	0.996869i	$-0.525197\pi$
$601$	18.2565	−	10.5404i	0.744698	−	0.429952i	0.823775	+	0.566917i	$0.191864\pi$
$602$	−29.8032	−	37.6065i	−1.21469	−	1.53273i
$603$	−9.21430	+	9.21430i	−0.375235	+	0.375235i
$604$	−6.15805	−	22.9821i	−0.250567	−	0.935130i
$605$	−1.91413	−	7.14365i	−0.0778206	−	0.290431i
$606$	−23.5638	−	23.5638i	−0.957215	−	0.957215i
$607$	−14.6360	−	8.45008i	−0.594056	−	0.342978i	0.172644	−	0.984984i	$-0.444769\pi$
$607$	−14.6360	−	8.45008i	−0.594056	−	0.342978i	−0.766700	+	0.642006i	$0.778102\pi$
$608$	0.856205	+	1.48299i	0.0347237	+	0.0601432i
$609$	−0.789798	−	0.586622i	−0.0320042	−	0.0237711i
$610$		−	20.1661i		−	0.816502i
$611$	5.25901	−	17.3686i	0.212757	−	0.702658i
$612$			18.4162i			0.744430i
$613$	17.4644	+	4.67958i	0.705381	+	0.189006i	0.593640	−	0.804731i	$-0.297690\pi$
$613$	17.4644	+	4.67958i	0.705381	+	0.189006i	0.111742	+	0.993737i	$0.464357\pi$
$614$	−43.7695	+	25.2703i	−1.76639	+	1.01983i
$615$	−4.24839	+	7.35842i	−0.171312	+	0.296720i
$616$	−8.73233	+	3.77826i	−0.351836	+	0.152230i
$617$	5.54500	+	20.6942i	0.223233	+	0.833118i	0.983105	+	0.183045i	$0.0585952\pi$
$617$	5.54500	+	20.6942i	0.223233	+	0.833118i	−0.759871	+	0.650074i	$0.774738\pi$
$618$	39.1020	−	10.4773i	1.57291	−	0.421460i
$619$	19.4756	−	19.4756i	0.782790	−	0.782790i	−0.197511	−	0.980301i	$-0.563286\pi$
$619$	19.4756	−	19.4756i	0.782790	−	0.782790i	0.980301	+	0.197511i	$0.0632857\pi$
$620$	7.14777	−	12.3803i	0.287061	−	0.497205i
$621$	0.964326	+	1.67026i	0.0386971	+	0.0670253i
$622$	17.8892	+	4.79339i	0.717291	+	0.192197i
$623$	44.7004	+	17.7009i	1.79088	+	0.709172i
$624$	−15.5284	−	0.500395i	−0.621634	−	0.0200318i
$625$	−17.7939			−0.711756
$626$	−5.03421	+	18.7879i	−0.201208	+	0.750917i
$627$	−1.19910	−	2.07691i	−0.0478876	−	0.0829438i
$628$	−29.6058	+	51.2787i	−1.18140	+	2.04624i
$629$	−6.77788	−	6.77788i	−0.270252	−	0.270252i
$630$	4.55716	+	0.527529i	0.181562	+	0.0210173i
$631$	−20.8332	+	5.58224i	−0.829356	+	0.222225i	−0.648433	−	0.761272i	$-0.724575\pi$
$631$	−20.8332	+	5.58224i	−0.829356	+	0.222225i	−0.180923	+	0.983497i	$0.557909\pi$
$632$	35.0178	+	35.0178i	1.39293	+	1.39293i
$633$	−8.00070	−	4.61920i	−0.317999	−	0.183597i
$634$	36.9357	−	21.3248i	1.46690	−	0.846916i
$635$	13.6931	+	3.66906i	0.543395	+	0.145602i
$636$	−20.1627			−0.799502
$637$	−24.3848	+	6.51023i	−0.966160	+	0.257945i
$638$	0.651976			0.0258120
$639$	7.86274	+	2.10681i	0.311045	+	0.0833443i
$640$	−11.6827	+	6.74499i	−0.461798	+	0.266619i
$641$	25.3468	+	14.6340i	1.00114	+	0.578006i	0.908584	−	0.417701i	$-0.137164\pi$
$641$	25.3468	+	14.6340i	1.00114	+	0.578006i	0.0925521	+	0.995708i	$0.470498\pi$
$642$	29.0772	+	29.0772i	1.14758	+	1.14758i
$643$	12.4873	−	3.34595i	0.492449	−	0.131951i	−0.00404423	−	0.999992i	$-0.501287\pi$
$643$	12.4873	−	3.34595i	0.492449	−	0.131951i	0.496494	+	0.868040i	$0.334621\pi$
$644$	20.5344	+	2.37703i	0.809170	+	0.0936682i
$645$	−3.67483	−	3.67483i	−0.144696	−	0.144696i
$646$	−18.8129	+	32.5849i	−0.740183	+	1.28203i
$647$	−18.8428	−	32.6368i	−0.740788	−	1.28308i	−0.952137	−	0.305672i	$-0.901119\pi$
$647$	−18.8428	−	32.6368i	−0.740788	−	1.28308i	0.211348	−	0.977411i	$-0.432215\pi$
$648$	1.30585	−	4.87350i	0.0512986	−	0.191449i
$649$	−2.84798			−0.111793
$650$	9.08921	+	38.8915i	0.356508	+	1.52545i
$651$	−12.3149	−	4.87656i	−0.482657	−	0.191127i
$652$	29.7833	+	7.98041i	1.16640	+	0.312537i
$653$	−20.0158	−	34.6685i	−0.783280	−	1.35668i	−0.930021	−	0.367507i	$-0.880212\pi$
$653$	−20.0158	−	34.6685i	−0.783280	−	1.35668i	0.146740	−	0.989175i	$-0.453122\pi$
$654$	3.09212	−	5.35570i	0.120911	−	0.209425i
$655$	6.02086	−	6.02086i	0.235255	−	0.235255i
$656$	50.1717	−	13.4435i	1.95888	−	0.524879i
$657$	−0.222873	−	0.831772i	−0.00869509	−	0.0324505i
$658$	30.0637	−	13.0078i	1.17201	−	0.507097i
$659$	15.0023	−	25.9848i	0.584407	−	1.01222i	−0.410542	−	0.911842i	$-0.634660\pi$
$659$	15.0023	−	25.9848i	0.584407	−	1.01222i	0.994949	−	0.100381i	$-0.0320062\pi$
$660$	−1.76266	+	1.01767i	−0.0686113	+	0.0396128i
$661$	−19.0751	−	5.11115i	−0.741934	−	0.198801i	−0.131996	−	0.991250i	$-0.542139\pi$
$661$	−19.0751	−	5.11115i	−0.741934	−	0.198801i	−0.609937	+	0.792450i	$0.708805\pi$
$662$			12.1508i			0.472255i
$663$	−7.73399	−	14.4515i	−0.300363	−	0.561249i
$664$		−	16.0866i		−	0.624283i
$665$	5.03741	+	3.74153i	0.195342	+	0.145090i
$666$	2.59337	+	4.49186i	0.100491	+	0.174056i
$667$	−0.621087	−	0.358585i	−0.0240486	−	0.0138845i
$668$	22.5408	+	22.5408i	0.872131	+	0.872131i
$669$	−0.482353	−	1.80016i	−0.0186488	−	0.0695984i
$670$	5.84803	+	21.8251i	0.225929	+	0.843178i
$671$	5.86164	−	5.86164i	0.226286	−	0.226286i
$672$	−0.836340	−	1.05531i	−0.0322625	−	0.0407096i
$673$	−39.4906	+	22.7999i	−1.52225	+	0.878872i	−0.522597	+	0.852580i	$0.675037\pi$
$673$	−39.4906	+	22.7999i	−1.52225	+	0.878872i	−0.999654	+	0.0262924i	$0.991630\pi$
$674$	−4.68348	+	17.4790i	−0.180401	+	0.673265i
$675$	−4.50313			−0.173326
$676$	47.2090	−	23.3410i	1.81573	−	0.897730i
$677$			6.55217i			0.251821i	0.992042	+	0.125910i	$0.0401851\pi$
$677$			6.55217i			0.251821i	−0.992042	+	0.125910i	$0.959815\pi$
$678$	−3.77228	+	14.0783i	−0.144874	+	0.540676i
$679$	−23.6778	+	3.49514i	−0.908672	+	0.134131i
$680$	14.0016	+	8.08381i	0.536936	+	0.310000i
$681$	3.93948	−	3.93948i	0.150961	−	0.150961i
$682$	8.47849	−	2.27180i	0.324658	−	0.0869919i
$683$	42.6432	−	11.4262i	1.63170	−	0.437212i	0.677290	−	0.735716i	$-0.263154\pi$
$683$	42.6432	−	11.4262i	1.63170	−	0.437212i	0.954408	+	0.298504i	$0.0964875\pi$
$684$	9.63816	−	9.63816i	0.368524	−	0.368524i
$685$	8.84040	+	5.10401i	0.337774	+	0.195014i
$686$	−37.4056	−	26.0065i	−1.42815	−	0.992933i
$687$	0.0560546	−	0.209199i	0.00213862	−	0.00798143i
$688$			31.7697i			1.21121i
$689$	15.8220	−	8.46743i	0.602769	−	0.322584i
$690$	3.34418			0.127311
$691$	8.50701	−	31.7486i	0.323622	−	1.20777i	−0.592068	−	0.805888i	$-0.701688\pi$
$691$	8.50701	−	31.7486i	0.323622	−	1.20777i	0.915690	−	0.401885i	$-0.131645\pi$
$692$	37.6106	−	21.7145i	1.42974	−	0.825462i
$693$	1.17128	+	1.47796i	0.0444934	+	0.0561429i
$694$	5.51370	−	5.51370i	0.209297	−	0.209297i
$695$	1.46546	+	5.46917i	0.0555881	+	0.207457i
$696$	0.485580	+	1.81221i	0.0184059	+	0.0686917i
$697$	38.7480	+	38.7480i	1.46769	+	1.46769i
$698$	−57.4961	−	33.1954i	−2.17626	−	1.25646i
$699$	−9.89112	−	17.1319i	−0.374116	−	0.647989i
$700$	−28.7790	+	38.7466i	−1.08774	+	1.46448i
$701$			8.83206i			0.333582i	0.985992	+	0.166791i	$0.0533406\pi$
$701$			8.83206i			0.333582i	−0.985992	+	0.166791i	$0.946659\pi$
$702$	2.01842	+	8.63655i	0.0761803	+	0.325965i
$703$			7.09444i			0.267572i
$704$	−5.07144	−	1.35889i	−0.191137	−	0.0512150i
$705$	3.07249	−	1.77391i	0.115717	−	0.0668091i
$706$	−6.48069	+	11.2249i	−0.243904	+	0.422454i
$707$	14.2329	+	32.8950i	0.535282	+	1.23715i
$708$	−4.18944	−	15.6352i	−0.157449	−	0.587607i
$709$	28.7065	−	7.69188i	1.07809	−	0.288874i	0.324279	−	0.945961i	$-0.394878\pi$
$709$	28.7065	−	7.69188i	1.07809	−	0.288874i	0.753815	+	0.657087i	$0.228212\pi$
$710$	9.98046	−	9.98046i	0.374560	−	0.374560i
$711$	4.90769	−	8.50036i	0.184053	−	0.318788i
$712$	−45.8416	−	79.4000i	−1.71799	−	2.97564i
$713$	−9.32628	−	2.49897i	−0.349272	−	0.0935872i
$714$	10.8930	−	27.5083i	0.407661	−	1.02947i
$715$	0.955809	−	1.53882i	0.0357452	−	0.0575486i
$716$	40.3771			1.50896
$717$	−0.233125	+	0.870032i	−0.00870619	+	0.0324920i
$718$	31.0431	+	53.7683i	1.15852	+	2.00662i
$719$	−18.6597	+	32.3196i	−0.695890	+	1.20532i	0.273990	+	0.961733i	$0.411657\pi$
$719$	−18.6597	+	32.3196i	−0.695890	+	1.20532i	−0.969880	+	0.243584i	$0.921677\pi$
$720$	−2.14776	−	2.14776i	−0.0800421	−	0.0800421i
$721$	−43.2511	−	5.00668i	−1.61076	−	0.186458i
$722$	−18.2462	+	4.88907i	−0.679055	+	0.181952i
$723$	−14.1110	−	14.1110i	−0.524794	−	0.524794i
$724$	−13.9108	−	8.03142i	−0.516992	−	0.298485i
$725$	1.45015	−	0.837245i	0.0538573	−	0.0310945i
$726$	24.9297	+	6.67989i	0.925227	+	0.247914i
$727$	−9.88660			−0.366674			−0.183337	−	0.983050i	$-0.558690\pi$
$727$	−9.88660			−0.366674			−0.183337	+	0.983050i	$0.558690\pi$
$728$	44.1554	+	19.1524i	1.63651	+	0.709835i
$729$	−1.00000			−0.0370370
$730$	−1.44225	−	0.386449i	−0.0533800	−	0.0143031i
$731$	−29.0264	+	16.7584i	−1.07358	+	0.619832i
$732$	40.8025	+	23.5574i	1.50811	+	0.870705i
$733$	14.5543	+	14.5543i	0.537577	+	0.537577i	0.922817	−	0.385240i	$-0.125881\pi$
$733$	14.5543	+	14.5543i	0.537577	+	0.537577i	−0.385240	+	0.922817i	$0.625881\pi$
$734$	78.5250	−	21.0407i	2.89841	−	0.776626i
$735$	−4.34828	−	2.33213i	−0.160389	−	0.0860220i
$736$	−0.694076	−	0.694076i	−0.0255840	−	0.0255840i
$737$	−4.64403	+	8.04370i	−0.171065	+	0.296293i
$738$	−14.8259	−	25.6792i	−0.545749	−	0.945264i
$739$	13.1964	−	49.2497i	0.485438	−	1.81168i	−0.0926405	−	0.995700i	$-0.529531\pi$
$739$	13.1964	−	49.2497i	0.485438	−	1.81168i	0.578079	−	0.815981i	$-0.303803\pi$
$740$	6.02100			0.221336
$741$	−3.51562	+	11.6108i	−0.129150	+	0.426535i
$742$	30.1171	+	11.9261i	1.10563	+	0.437820i
$743$	−13.4007	−	3.59070i	−0.491623	−	0.131730i	0.00448658	−	0.999990i	$-0.498572\pi$
$743$	−13.4007	−	3.59070i	−0.491623	−	0.131730i	−0.496109	+	0.868260i	$0.665239\pi$
$744$	12.6293	+	21.8745i	0.463011	+	0.801959i
$745$	−2.90493	+	5.03148i	−0.106428	+	0.184339i
$746$	48.3496	−	48.3496i	1.77020	−	1.77020i
$747$	−3.07973	+	0.825211i	−0.112681	+	0.0301929i
$748$	3.39737	+	12.6792i	0.124220	+	0.463597i
$749$	−17.5630	−	40.5916i	−0.641737	−	1.48319i
$750$	−8.23896	+	14.2703i	−0.300844	+	0.521078i
$751$	−7.39608	+	4.27013i	−0.269887	+	0.155819i	−0.628836	−	0.777538i	$-0.716468\pi$
$751$	−7.39608	+	4.27013i	−0.269887	+	0.155819i	0.358949	+	0.933357i	$0.383135\pi$
$752$	−20.9491	−	5.61329i	−0.763935	−	0.204696i
$753$			28.0107i			1.02077i
$754$	−2.25574	−	2.40597i	−0.0821494	−	0.0876201i
$755$			4.13996i			0.150669i
$756$	−6.39088	+	8.60436i	−0.232434	+	0.312937i
$757$	−5.08375	−	8.80531i	−0.184772	−	0.320034i	0.758728	−	0.651408i	$-0.225821\pi$
$757$	−5.08375	−	8.80531i	−0.184772	−	0.320034i	−0.943500	+	0.331374i	$0.892488\pi$
$758$	32.4080	+	18.7108i	1.17711	+	0.679606i
$759$	0.972046	+	0.972046i	0.0352830	+	0.0352830i
$760$	−3.09708	−	11.5585i	−0.112343	−	0.419269i
$761$	0.975866	+	3.64198i	0.0353751	+	0.132022i	0.981355	−	0.192203i	$-0.0615632\pi$
$761$	0.975866	+	3.64198i	0.0353751	+	0.132022i	−0.945980	+	0.324225i	$0.894897\pi$
$762$	−34.9816	+	34.9816i	−1.26725	+	1.26725i
$763$	−5.21295	+	4.13128i	−0.188721	+	0.149562i
$764$	−64.4046	+	37.1840i	−2.33008	+	1.34527i
$765$	0.829364	−	3.09523i	0.0299857	−	0.111908i
$766$	21.1536			0.764309
$767$	9.85363	+	10.5098i	0.355794	+	0.379488i
$768$		−	32.3446i		−	1.16714i
$769$	−1.12134	+	4.18491i	−0.0404367	+	0.150912i	−0.983192	−	0.182572i	$-0.941558\pi$
$769$	−1.12134	+	4.18491i	−0.0404367	+	0.150912i	0.942756	+	0.333484i	$0.108224\pi$
$770$	3.23483	−	0.477501i	0.116575	−	0.0172079i
$771$	7.82849	+	4.51978i	0.281936	+	0.162776i
$772$	47.0142	−	47.0142i	1.69208	−	1.69208i
$773$	14.9644	−	4.00970i	0.538233	−	0.144219i	0.0205453	−	0.999789i	$-0.493460\pi$
$773$	14.9644	−	4.00970i	0.538233	−	0.144219i	0.517687	+	0.855570i	$0.326793\pi$
$774$	17.5183	−	4.69402i	0.629683	−	0.168723i
$775$	15.9408	−	15.9408i	0.572611	−	0.572611i
$776$	39.5277	+	22.8213i	1.41896	+	0.819237i
$777$	−0.814647	−	5.51883i	−0.0292253	−	0.197987i
$778$	−7.22366	+	26.9591i	−0.258981	+	0.966529i
$779$		−	40.5578i		−	1.45313i
$780$	9.85402	+	2.98368i	0.352830	+	0.106833i
$781$	5.80200			0.207612
$782$	5.58208	−	20.8326i	0.199615	−	0.744973i
$783$	0.322032	−	0.185925i	0.0115085	−	0.00664442i
$784$	8.71504	+	28.8768i	0.311252	+	1.03132i
$785$	7.28519	−	7.28519i	0.260020	−	0.260020i
$786$	7.69071	+	28.7021i	0.274319	+	1.02377i
$787$	11.1122	+	41.4712i	0.396106	+	1.47829i	0.819888	+	0.572524i	$0.194036\pi$
$787$	11.1122	+	41.4712i	0.396106	+	1.47829i	−0.423782	+	0.905764i	$0.639298\pi$
$788$	16.8906	+	16.8906i	0.601703	+	0.601703i
$789$	−20.1910	−	11.6573i	−0.718819	−	0.415010i
$790$	−8.50966	−	14.7392i	−0.302760	−	0.524396i
$791$	9.34721	−	12.5846i	0.332349	−	0.447458i
$792$		−	3.59621i		−	0.127786i
$793$	−41.9115	−	1.35058i	−1.48832	−	0.0479604i
$794$		−	39.6297i		−	1.40640i
$795$	3.38876	+	0.908017i	0.120187	+	0.0322040i
$796$	−67.4641	+	38.9504i	−2.39120	+	1.38056i
$797$	23.6527	−	40.9678i	0.837823	−	1.45115i	−0.0538875	−	0.998547i	$-0.517161\pi$
$797$	23.6527	−	40.9678i	0.837823	−	1.45115i	0.891711	−	0.452606i	$-0.149505\pi$
$798$	−20.0975	+	8.69567i	−0.711443	+	0.307823i
$799$	−5.92198	−	22.1011i	−0.209505	−	0.781882i
$800$	2.21374	−	0.593170i	0.0782676	−	0.0209717i
$801$	−12.8493	+	12.8493i	−0.454006	+	0.454006i
$802$	−44.4704	+	77.0250i	−1.57030	+	2.71985i
$803$	−0.306887	−	0.531543i	−0.0108298	−	0.0187578i
$804$	−50.9907	−	13.6629i	−1.79830	−	0.481854i
$805$	−3.34420	−	1.32427i	−0.117867	−	0.0466744i
$806$	−37.7179	−	23.4278i	−1.32856	−	0.825208i
$807$	−28.8184			−1.01445
$808$	17.6904	−	66.0215i	0.622347	−	2.32263i
$809$	9.15672	+	15.8599i	0.321933	+	0.557604i	0.980887	−	0.194579i	$-0.0623341\pi$
$809$	9.15672	+	15.8599i	0.321933	+	0.557604i	−0.658954	+	0.752183i	$0.729001\pi$
$810$	−0.866973	+	1.50164i	−0.0304623	+	0.0527623i
$811$	−7.95198	−	7.95198i	−0.279232	−	0.279232i	0.553571	−	0.832802i	$-0.313265\pi$
$811$	−7.95198	−	7.95198i	−0.279232	−	0.279232i	−0.832802	+	0.553571i	$0.813265\pi$
$812$	0.458299	−	3.95910i	0.0160831	−	0.138937i
$813$	−11.9008	+	3.18880i	−0.417378	+	0.111836i
$814$	2.61413	+	2.61413i	0.0916253	+	0.0916253i
$815$	−4.64632	−	2.68255i	−0.162753	−	0.0939658i
$816$	−16.9645	+	9.79445i	−0.593876	+	0.342874i
$817$	23.9616	+	6.42049i	0.838311	+	0.224625i
$818$	35.6169			1.24532
$819$	1.40158	−	9.43587i	0.0489750	−	0.329716i
$820$	−34.4210			−1.20204
$821$	−35.4162	−	9.48973i	−1.23603	−	0.331194i	−0.419107	−	0.907937i	$-0.637657\pi$
$821$	−35.4162	−	9.48973i	−1.23603	−	0.331194i	−0.816926	+	0.576743i	$0.804323\pi$
$822$	−30.8509	+	17.8118i	−1.07605	+	0.621258i
$823$	−14.5778	−	8.41649i	−0.508150	−	0.293380i	0.223923	−	0.974607i	$-0.428114\pi$
$823$	−14.5778	−	8.41649i	−0.508150	−	0.293380i	−0.732073	+	0.681226i	$0.761447\pi$
$824$	58.7112	+	58.7112i	2.04530	+	2.04530i
$825$	−3.10032	+	0.830728i	−0.107939	+	0.0289222i
$826$	−2.99032	+	25.8324i	−0.104046	+	0.898824i
$827$	−20.4920	−	20.4920i	−0.712578	−	0.712578i	0.254496	−	0.967074i	$-0.418090\pi$
$827$	−20.4920	−	20.4920i	−0.712578	−	0.712578i	−0.967074	+	0.254496i	$0.918090\pi$
$828$	−3.90656	+	6.76635i	−0.135762	+	0.235147i
$829$	−2.04801	−	3.54725i	−0.0711302	−	0.123201i	0.828267	−	0.560334i	$-0.189327\pi$
$829$	−2.04801	−	3.54725i	−0.0711302	−	0.123201i	−0.899397	+	0.437133i	$0.855994\pi$
$830$	−1.43087	+	5.34008i	−0.0496662	+	0.185357i
$831$	−14.3135			−0.496531
$832$	12.5318	+	23.4165i	0.434462	+	0.811822i
$833$	−21.7862	+	23.1949i	−0.754846	+	0.803656i
$834$	−19.0861	−	5.11412i	−0.660899	−	0.177087i
$835$	−2.77335	−	4.80358i	−0.0959757	−	0.166235i
$836$	4.85766	−	8.41371i	0.168006	−	0.290994i
$837$	3.53994	−	3.53994i	0.122358	−	0.122358i
$838$	52.3733	−	14.0334i	1.80920	−	0.484775i
$839$	8.69536	+	32.4515i	0.300197	+	1.12035i	0.937001	+	0.349326i	$0.113589\pi$
$839$	8.69536	+	32.4515i	0.300197	+	1.12035i	−0.636804	+	0.771026i	$0.719744\pi$
$840$	3.73649	+	8.63579i	0.128921	+	0.297963i
$841$	14.4309	−	24.9950i	0.497616	−	0.861896i
$842$	−23.1861	+	13.3865i	−0.799047	+	0.461330i
$843$	−14.7374	−	3.94889i	−0.507585	−	0.136007i
$844$		−	37.4255i		−	1.28824i
$845$	−8.98562	+	1.79691i	−0.309115	+	0.0618156i
$846$			12.3810i			0.425669i
$847$	−22.2846	−	16.5519i	−0.765709	−	0.568729i
$848$	−10.7233	−	18.5733i	−0.368240	−	0.637810i
$849$	−12.0711	−	6.96923i	−0.414278	−	0.239183i
$850$	35.6079	+	35.6079i	1.22134	+	1.22134i
$851$	−1.05252	−	3.92805i	−0.0360798	−	0.134652i
$852$	8.53485	+	31.8525i	0.292399	+	1.09125i
$853$	6.65000	−	6.65000i	0.227692	−	0.227692i	−0.584036	−	0.811728i	$-0.698527\pi$
$853$	6.65000	−	6.65000i	0.227692	−	0.227692i	0.811728	+	0.584036i	$0.198527\pi$
$854$	−47.0129	−	59.3221i	−1.60875	−	2.02996i
$855$	−2.05395	+	1.18585i	−0.0702436	+	0.0405551i
$856$	−21.8295	+	81.4688i	−0.746117	+	2.78455i
$857$	−38.2819			−1.30768			−0.653842	−	0.756631i	$-0.726844\pi$
$857$	−38.2819			−1.30768			−0.653842	+	0.756631i	$0.726844\pi$
$858$	2.98289	+	5.57374i	0.101834	+	0.190284i
$859$			16.5870i			0.565942i	0.959128	+	0.282971i	$0.0913201\pi$
$859$			16.5870i			0.565942i	−0.959128	+	0.282971i	$0.908680\pi$
$860$	5.44902	−	20.3360i	0.185810	−	0.693453i
$861$	4.65720	+	31.5503i	0.158717	+	1.07523i
$862$	−57.9892	−	33.4801i	−1.97512	−	1.14034i
$863$	−11.6109	+	11.6109i	−0.395240	+	0.395240i	−0.876550	−	0.481310i	$-0.840161\pi$
$863$	−11.6109	+	11.6109i	−0.395240	+	0.395240i	0.481310	+	0.876550i	$0.340161\pi$
$864$	0.491600	−	0.131724i	0.0167246	−	0.00448134i
$865$	−7.29917	+	1.95581i	−0.248179	+	0.0664994i
$866$	−22.7937	+	22.7937i	−0.774560	+	0.774560i
$867$	−3.17497	−	1.83307i	−0.107828	−	0.0622544i
$868$	−7.83559	−	53.0822i	−0.265957	−	1.80173i
$869$	1.81072	−	6.75769i	0.0614244	−	0.229239i
$870$		−	0.644768i		−	0.0218597i
$871$	45.7511	−	10.6923i	1.55022	−	0.362296i
$872$	12.6843			0.429545
$873$	2.34137	−	8.73810i	0.0792433	−	0.295740i
$874$	−13.8242	+	7.98141i	−0.467611	+	0.269975i
$875$	13.8899	−	11.0078i	0.469565	−	0.372132i
$876$	2.46670	−	2.46670i	0.0833419	−	0.0833419i
$877$	−5.37931	−	20.0759i	−0.181646	−	0.677914i	−0.995324	−	0.0965967i	$-0.969204\pi$
$877$	−5.37931	−	20.0759i	−0.181646	−	0.677914i	0.813677	−	0.581317i	$-0.197462\pi$
$878$	25.3817	+	94.7260i	0.856592	+	3.19685i
$879$	−12.2691	−	12.2691i	−0.413827	−	0.413827i
$880$	−1.87490	−	1.08247i	−0.0632029	−	0.0364902i
$881$	−6.22366	−	10.7797i	−0.209680	−	0.363177i	0.741934	−	0.670473i	$-0.233909\pi$
$881$	−6.22366	−	10.7797i	−0.209680	−	0.363177i	−0.951614	+	0.307297i	$0.900576\pi$
$882$	14.6355	−	9.07221i	0.492803	−	0.305477i
$883$		−	28.9456i		−	0.974097i	−0.873375	−	0.487049i	$-0.838073\pi$
$883$		−	28.9456i		−	0.974097i	0.873375	−	0.487049i	$-0.161927\pi$
$884$	35.0351	−	56.4054i	1.17836	−	1.89712i
$885$			2.81650i			0.0946756i
$886$	54.6655	+	14.6476i	1.83652	+	0.492095i
$887$	−6.26961	+	3.61976i	−0.210513	+	0.121540i	−0.601550	−	0.798835i	$-0.705450\pi$
$887$	−6.26961	+	3.61976i	−0.210513	+	0.121540i	0.391037	+	0.920375i	$0.372117\pi$
$888$	−5.31920	+	9.21312i	−0.178501	+	0.309172i
$889$	48.8343	−	21.1294i	1.63785	−	0.708656i
$890$	8.15502	+	30.4349i	0.273357	+	1.02018i
$891$	−0.688480	+	0.184478i	−0.0230649	+	0.00618023i
$892$	5.33855	−	5.33855i	0.178748	−	0.178748i
$893$	−8.46740	+	14.6660i	−0.283351	+	0.490778i
$894$	−10.1375	−	17.5587i	−0.339049	−	0.587251i
$895$	−6.78623	−	1.81836i	−0.226839	−	0.0607812i
$896$	−18.6421	+	47.0771i	−0.622788	+	1.57274i
$897$	0.223968	−	6.95025i	0.00747808	−	0.232062i
$898$	39.7996			1.32813
$899$	−0.481809	+	1.79814i	−0.0160692	+	0.0599712i
$900$	−9.12126	−	15.7985i	−0.304042	−	0.526616i
$901$	11.3130	−	19.5947i	0.376891	−	0.652794i
$902$	−14.9446	−	14.9446i	−0.497600	−	0.497600i
$903$	−19.3772	−	2.24308i	−0.644833	−	0.0746449i
$904$	−28.8757	+	7.73722i	−0.960391	+	0.257336i
$905$	1.97632	+	1.97632i	0.0656950	+	0.0656950i
$906$	−12.5119	−	7.22375i	−0.415680	−	0.239993i
$907$	0.515467	−	0.297605i	0.0171158	−	0.00988182i	−0.491418	−	0.870924i	$-0.663521\pi$
$907$	0.515467	−	0.297605i	0.0171158	−	0.00988182i	0.508533	+	0.861042i	$0.330188\pi$
$908$	21.8006	+	5.84144i	0.723477	+	0.193855i
$909$	−13.5471			−0.449327
$910$	−12.9542	−	10.2853i	−0.429426	−	0.340955i
$911$	−23.8117			−0.788915			−0.394458	−	0.918914i	$-0.629068\pi$
$911$	−23.8117			−0.788915			−0.394458	+	0.918914i	$0.629068\pi$
$912$	14.0044	+	3.75246i	0.463731	+	0.124256i
$913$	−1.96810	+	1.13628i	−0.0651345	+	0.0376054i
$914$	1.45331	+	0.839066i	0.0480711	+	0.0277538i
$915$	−5.79684	−	5.79684i	−0.191638	−	0.191638i
$916$	0.847479	−	0.227081i	0.0280015	−	0.00750297i
$917$	3.67507	−	31.7477i	0.121361	−	1.04840i
$918$	7.90735	+	7.90735i	0.260981	+	0.260981i
$919$	−2.86358	+	4.95987i	−0.0944609	+	0.163611i	−0.909383	−	0.415959i	$-0.863446\pi$
$919$	−2.86358	+	4.95987i	−0.0944609	+	0.163611i	0.814923	+	0.579570i	$0.196779\pi$
$920$	3.42958	+	5.94020i	0.113070	+	0.195843i
$921$	−5.31766	+	19.8458i	−0.175223	+	0.653941i
$922$	20.5835			0.677881
$923$	−20.0741	−	21.4109i	−0.660747	−	0.704749i
$924$	−2.81268	+	7.10290i	−0.0925304	+	0.233668i
$925$	9.17144	+	2.45748i	0.301555	+	0.0808015i
$926$	38.9417	+	67.4490i	1.27970	+	2.21651i
$927$	8.22827	−	14.2518i	0.270252	−	0.468090i
$928$	−0.133820	+	0.133820i	−0.00439286	+	0.00439286i
$929$	−23.7758	+	6.37070i	−0.780058	+	0.209016i	−0.626810	−	0.779172i	$-0.715640\pi$
$929$	−23.7758	+	6.37070i	−0.780058	+	0.209016i	−0.153247	+	0.988188i	$0.548973\pi$
$930$	−2.24669	−	8.38475i	−0.0736718	−	0.274947i
$931$	23.5410	−	0.737273i	0.771524	−	0.0241631i
$932$	40.0696	−	69.4026i	1.31252	−	2.27336i
$933$	6.52020	−	3.76444i	0.213462	−	0.123242i
$934$	−32.2746	−	8.64795i	−1.05606	−	0.282970i
$935$		−	2.28400i		−	0.0746949i
$936$	−13.2710	+	12.4424i	−0.433775	+	0.406691i
$937$		−	26.2867i		−	0.858749i	−0.903127	−	0.429374i	$-0.858734\pi$
$937$		−	26.2867i		−	0.858749i	0.903127	−	0.429374i	$-0.141266\pi$
$938$	68.0835	+	50.5690i	2.22301	+	1.65114i
$939$	3.95357	+	6.84778i	0.129020	+	0.223469i
$940$	12.4469	+	7.18622i	0.405973	+	0.234389i
$941$	−2.11330	−	2.11330i	−0.0688916	−	0.0688916i	0.671821	−	0.740713i	$-0.265512\pi$
$941$	−2.11330	−	2.11330i	−0.0688916	−	0.0688916i	−0.740713	+	0.671821i	$0.765512\pi$
$942$	9.30570	+	34.7293i	0.303196	+	1.13154i
$943$	6.01707	+	22.4560i	0.195943	+	0.731268i
$944$	12.1746	−	12.1746i	0.396250	−	0.396250i
$945$	1.46162	−	1.15833i	0.0475464	−	0.0376806i
$946$	11.1951	−	6.46348i	0.363983	−	0.210146i
$947$	−0.631600	+	2.35716i	−0.0205243	+	0.0765976i	−0.975428	−	0.220317i	$-0.929291\pi$
$947$	−0.631600	+	2.35716i	−0.0205243	+	0.0765976i	0.954904	+	0.296914i	$0.0959576\pi$
$948$	39.7628			1.29143
$949$	−0.899753	+	2.97156i	−0.0292072	+	0.0964609i
$950$		−	37.2709i		−	1.20923i
$951$	4.48741	−	16.7472i	0.145514	−	0.543066i
$952$	60.0337	−	8.86171i	1.94570	−	0.287210i
$953$	−11.0082	−	6.35559i	−0.356591	−	0.205878i	0.310994	−	0.950412i	$-0.399338\pi$
$953$	−11.0082	−	6.35559i	−0.356591	−	0.205878i	−0.667584	+	0.744534i	$0.732672\pi$
$954$	−8.65724	+	8.65724i	−0.280288	+	0.280288i
$955$	12.4991	−	3.34913i	0.404462	−	0.108375i
$956$	−3.52456	+	0.944404i	−0.113993	+	0.0305442i
$957$	0.187413	−	0.187413i	0.00605821	−	0.00605821i
$958$	−8.89312	−	5.13445i	−0.287324	−	0.165886i
$959$	37.9044	−	5.59516i	1.22400	−	0.180677i
$960$	−1.34386	+	5.01537i	−0.0433730	+	0.161870i
$961$		−	5.93766i		−	0.191537i
$962$	0.602320	−	18.6914i	0.0194196	−	0.602634i
$963$	16.7167			0.538688
$964$	20.9237	−	78.0885i	0.673908	−	2.51506i
$965$	−10.0190	+	5.78446i	−0.322523	+	0.186209i
$966$	9.83748	−	7.79623i	0.316516	−	0.250840i
$967$	−12.3880	+	12.3880i	−0.398371	+	0.398371i	−0.877658	−	0.479287i	$-0.840895\pi$
$967$	−12.3880	+	12.3880i	−0.398371	+	0.398371i	0.479287	+	0.877658i	$0.340895\pi$
$968$	13.7009	+	51.1326i	0.440365	+	1.64346i
$969$	3.95882	+	14.7745i	0.127175	+	0.474625i
$970$	−11.0916	−	11.0916i	−0.356130	−	0.356130i
$971$	6.20175	+	3.58058i	0.199024	+	0.114906i	0.596200	−	0.802836i	$-0.296677\pi$
$971$	6.20175	+	3.58058i	0.199024	+	0.114906i	−0.397176	+	0.917742i	$0.630010\pi$
$972$	−2.02554	−	3.50833i	−0.0649691	−	0.112530i
$973$	17.0611	+	12.6721i	0.546953	+	0.406249i
$974$			40.6935i			1.30390i
$975$	13.7923	+	8.56680i	0.441706	+	0.274357i
$976$			50.1149i			1.60414i
$977$	−3.17102	−	0.849671i	−0.101450	−	0.0271834i	0.207737	−	0.978185i	$-0.433390\pi$
$977$	−3.17102	−	0.849671i	−0.101450	−	0.0271834i	−0.309187	+	0.951001i	$0.600057\pi$
$978$	16.2146	−	9.36149i	0.518485	−	0.299348i
$979$	−6.47605	+	11.2169i	−0.206976	+	0.358492i
$980$	−0.625717	−	19.9790i	−0.0199878	−	0.638207i
$981$	−0.650678	−	2.42836i	−0.0207745	−	0.0775317i
$982$	76.0421	−	20.3754i	2.42660	−	0.650206i
$983$	−10.1688	+	10.1688i	−0.324335	+	0.324335i	−0.850428	−	0.526092i	$-0.823657\pi$
$983$	−10.1688	+	10.1688i	−0.324335	+	0.324335i	0.526092	+	0.850428i	$0.323657\pi$
$984$	30.4090	−	52.6699i	0.969402	−	1.67905i
$985$	−2.07817	−	3.59949i	−0.0662159	−	0.114689i
$986$	−4.01659	−	1.07624i	−0.127914	−	0.0342745i
$987$	4.90279	−	12.3811i	0.156058	−	0.394095i
$988$	−47.8557	+	11.1842i	−1.52249	+	0.355816i
$989$	−14.2196			−0.452156
$990$	−0.319874	+	1.19379i	−0.0101663	+	0.0379411i
$991$	−4.87954	−	8.45161i	−0.155004	−	0.268474i	0.778057	−	0.628194i	$-0.216206\pi$
$991$	−4.87954	−	8.45161i	−0.155004	−	0.268474i	−0.933060	+	0.359720i	$0.882872\pi$
$992$	−1.27394	+	2.20653i	−0.0404476	+	0.0700574i
$993$	3.49281	+	3.49281i	0.110841	+	0.110841i
$994$	6.09196	−	52.6265i	0.193225	−	1.66921i
$995$	13.0929	−	3.50823i	0.415072	−	0.111218i
$996$	−9.13321	−	9.13321i	−0.289397	−	0.289397i
$997$	27.8354	+	16.0708i	0.881555	+	0.508966i	0.871171	−	0.490980i	$-0.163361\pi$
$997$	27.8354	+	16.0708i	0.881555	+	0.508966i	0.0103840	+	0.999946i	$0.496695\pi$
$998$	−43.4576	+	25.0903i	−1.37563	+	0.794218i
$999$	2.03668	+	0.545727i	0.0644377	+	0.0172660i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.by.d.223.8	yes	32
3.2	odd	2		819.2.fm.e.496.1		32
7.6	odd	2		273.2.by.c.223.8	yes	32
13.7	odd	12		273.2.by.c.202.8	✓	32
21.20	even	2		819.2.fm.f.496.1		32
39.20	even	12		819.2.fm.f.748.1		32
91.20	even	12	inner	273.2.by.d.202.8	yes	32
273.20	odd	12		819.2.fm.e.748.1		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.202.8	✓	32	13.7	odd	12
273.2.by.c.223.8	yes	32	7.6	odd	2
273.2.by.d.202.8	yes	32	91.20	even	12	inner
273.2.by.d.223.8	yes	32	1.1	even	1	trivial
819.2.fm.e.496.1		32	3.2	odd	2
819.2.fm.e.748.1		32	273.20	odd	12
819.2.fm.f.496.1		32	21.20	even	2
819.2.fm.f.748.1		32	39.20	even	12

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.by (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(2.37607 + 0.636667i) q^{2} +(0.866025 - 0.500000i) q^{3} +(3.50833 + 2.02554i) q^{4} +(-0.498430 - 0.498430i) q^{5} +(2.37607 - 0.636667i) q^{6} +(-2.62820 - 0.304236i) q^{7} +(3.56765 + 3.56765i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\)	\(q+(2.37607 + 0.636667i) q^{2} +(0.866025 - 0.500000i) q^{3} +(3.50833 + 2.02554i) q^{4} +(-0.498430 - 0.498430i) q^{5} +(2.37607 - 0.636667i) q^{6} +(-2.62820 - 0.304236i) q^{7} +(3.56765 + 3.56765i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-0.866973 - 1.50164i) q^{10} +(0.184478 - 0.688480i) q^{11} +4.05107 q^{12} +(-3.17894 + 1.70127i) q^{13} +(-6.05110 - 2.39618i) q^{14} +(-0.680869 - 0.182438i) q^{15} +(2.15452 + 3.73174i) q^{16} +(-2.27300 + 3.93695i) q^{17} +(1.73941 - 1.73941i) q^{18} +(3.25000 - 0.870835i) q^{19} +(-0.739070 - 2.75825i) q^{20} +(-2.42821 + 1.05062i) q^{21} +(0.876665 - 1.51843i) q^{22} +(-1.67026 + 0.964326i) q^{23} +(4.87350 + 1.30585i) q^{24} -4.50313i q^{25} +(-8.63655 + 2.01842i) q^{26} -1.00000i q^{27} +(-8.60436 - 6.39088i) q^{28} +(0.185925 + 0.322032i) q^{29} +(-1.50164 - 0.866973i) q^{30} +(3.53994 + 3.53994i) q^{31} +(0.131724 + 0.491600i) q^{32} +(-0.184478 - 0.688480i) q^{33} +(-7.90735 + 7.90735i) q^{34} +(1.15833 + 1.46162i) q^{35} +(3.50833 - 2.02554i) q^{36} +(-0.545727 + 2.03668i) q^{37} +8.27667 q^{38} +(-1.90241 + 3.06282i) q^{39} -3.55645i q^{40} +(3.11983 - 11.6434i) q^{41} +(-6.43850 + 0.950401i) q^{42} +(6.38504 + 3.68640i) q^{43} +(2.04175 - 2.04175i) q^{44} +(-0.680869 + 0.182438i) q^{45} +(-4.58262 + 1.22791i) q^{46} +(-3.55898 + 3.55898i) q^{47} +(3.73174 + 2.15452i) q^{48} +(6.81488 + 1.59919i) q^{49} +(2.86700 - 10.6998i) q^{50} +4.54600i q^{51} +(-14.5988 - 0.470438i) q^{52} -4.97712 q^{53} +(0.636667 - 2.37607i) q^{54} +(-0.435109 + 0.251210i) q^{55} +(-8.29109 - 10.4619i) q^{56} +(2.37916 - 2.37916i) q^{57} +(0.236745 + 0.883543i) q^{58} +(-1.03416 - 3.85953i) q^{59} +(-2.01918 - 2.01918i) q^{60} +(10.0720 + 5.81509i) q^{61} +(6.15739 + 10.6649i) q^{62} +(-1.57758 + 2.12397i) q^{63} -7.36614i q^{64} +(2.43245 + 0.736516i) q^{65} -1.75333i q^{66} +(-12.5870 - 3.37267i) q^{67} +(-15.9489 + 9.20809i) q^{68} +(-0.964326 + 1.67026i) q^{69} +(1.82173 + 4.21038i) q^{70} +(2.10681 + 7.86274i) q^{71} +(4.87350 - 1.30585i) q^{72} +(0.608899 - 0.608899i) q^{73} +(-2.59337 + 4.49186i) q^{74} +(-2.25157 - 3.89983i) q^{75} +(13.1660 + 3.52781i) q^{76} +(-0.694305 + 1.75334i) q^{77} +(-6.47026 + 6.06627i) q^{78} +9.81537 q^{79} +(0.786133 - 2.93389i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(14.8259 - 25.6792i) q^{82} +(-2.25452 - 2.25452i) q^{83} +(-10.6470 - 1.23248i) q^{84} +(3.09523 - 0.829364i) q^{85} +(12.8243 + 12.8243i) q^{86} +(0.322032 + 0.185925i) q^{87} +(3.11441 - 1.79810i) q^{88} +(-17.5524 - 4.70315i) q^{89} -1.73395 q^{90} +(8.87249 - 3.50413i) q^{91} -7.81311 q^{92} +(4.83565 + 1.29571i) q^{93} +(-10.7223 + 6.19052i) q^{94} +(-2.05395 - 1.18585i) q^{95} +(0.359876 + 0.359876i) q^{96} +(8.73810 - 2.34137i) q^{97} +(15.1745 + 8.13860i) q^{98} +(-0.504002 - 0.504002i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

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