LMFDB - Embedded newform 273.2.by.c.202.3

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			202.3
Character	$\chi$	$=$	273.202
Dual form			273.2.by.c.223.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38083 + 0.369991i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(0.0377371 - 0.0217876i) q^{4} +(-0.512287 + 0.512287i) q^{5} +(1.38083 + 0.369991i) q^{6} +(-1.54136 - 2.15040i) q^{7} +(1.97762 - 1.97762i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-1.38083 + 0.369991i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(0.0377371 - 0.0217876i) q^{4} +(-0.512287 + 0.512287i) q^{5} +(1.38083 + 0.369991i) q^{6} +(-1.54136 - 2.15040i) q^{7} +(1.97762 - 1.97762i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.517838 - 0.896921i) q^{10} +(1.38992 + 5.18727i) q^{11} -0.0435751 q^{12} +(0.0545462 - 3.60514i) q^{13} +(2.92397 + 2.39904i) q^{14} +(0.699797 - 0.187510i) q^{15} +(-2.04263 + 3.53793i) q^{16} +(1.31681 + 2.28077i) q^{17} +(-1.01084 - 1.01084i) q^{18} +(5.26328 + 1.41029i) q^{19} +(-0.00817077 + 0.0304937i) q^{20} +(0.259652 + 2.63298i) q^{21} +(-3.83849 - 6.64846i) q^{22} +(5.51236 + 3.18256i) q^{23} +(-2.70148 + 0.723860i) q^{24} +4.47512i q^{25} +(1.25855 + 4.99825i) q^{26} -1.00000i q^{27} +(-0.105018 - 0.0475676i) q^{28} +(0.300703 - 0.520832i) q^{29} +(-0.896921 + 0.517838i) q^{30} +(6.22737 - 6.22737i) q^{31} +(0.0637871 - 0.238057i) q^{32} +(1.38992 - 5.18727i) q^{33} +(-2.66215 - 2.66215i) q^{34} +(1.89124 + 0.312006i) q^{35} +(0.0377371 + 0.0217876i) q^{36} +(0.172749 + 0.644708i) q^{37} -7.78948 q^{38} +(-1.84981 + 3.09487i) q^{39} +2.02622i q^{40} +(2.11401 + 7.88960i) q^{41} +(-1.33271 - 3.53962i) q^{42} +(4.10340 - 2.36910i) q^{43} +(0.165470 + 0.165470i) q^{44} +(-0.699797 - 0.187510i) q^{45} +(-8.78913 - 2.35504i) q^{46} +(-4.25821 - 4.25821i) q^{47} +(3.53793 - 2.04263i) q^{48} +(-2.24845 + 6.62906i) q^{49} +(-1.65576 - 6.17937i) q^{50} -2.63361i q^{51} +(-0.0764887 - 0.137236i) q^{52} +0.282101 q^{53} +(0.369991 + 1.38083i) q^{54} +(-3.36941 - 1.94533i) q^{55} +(-7.30090 - 1.20446i) q^{56} +(-3.85299 - 3.85299i) q^{57} +(-0.222515 + 0.830436i) q^{58} +(1.21690 - 4.54153i) q^{59} +(0.0223230 - 0.0223230i) q^{60} +(-13.0884 + 7.55656i) q^{61} +(-6.29485 + 10.9030i) q^{62} +(1.09162 - 2.41005i) q^{63} -7.81819i q^{64} +(1.81892 + 1.87481i) q^{65} +7.67698i q^{66} +(4.48192 - 1.20093i) q^{67} +(0.0993850 + 0.0573799i) q^{68} +(-3.18256 - 5.51236i) q^{69} +(-2.72691 + 0.268916i) q^{70} +(4.11194 - 15.3460i) q^{71} +(2.70148 + 0.723860i) q^{72} +(-3.04327 - 3.04327i) q^{73} +(-0.477073 - 0.826314i) q^{74} +(2.23756 - 3.87557i) q^{75} +(0.229348 - 0.0614536i) q^{76} +(9.01234 - 10.9843i) q^{77} +(1.40919 - 4.95789i) q^{78} +4.77147 q^{79} +(-0.766026 - 2.85885i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-5.83817 - 10.1120i) q^{82} +(-2.42351 + 2.42351i) q^{83} +(0.0671647 + 0.0937039i) q^{84} +(-1.84299 - 0.493829i) q^{85} +(-4.78954 + 4.78954i) q^{86} +(-0.520832 + 0.300703i) q^{87} +(13.0072 + 7.50971i) q^{88} +(5.75969 - 1.54330i) q^{89} +1.03568 q^{90} +(-7.83657 + 5.43950i) q^{91} +0.277361 q^{92} +(-8.50675 + 2.27938i) q^{93} +(7.45535 + 4.30435i) q^{94} +(-3.41879 + 1.97384i) q^{95} +(-0.174270 + 0.174270i) q^{96} +(15.7347 + 4.21610i) q^{97} +(0.652020 - 9.98549i) q^{98} +(-3.79734 + 3.79734i) 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} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 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} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 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 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * 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 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−1.38083	+	0.369991i	−0.976392	+	0.261623i	−0.711524	−	0.702661i	$-0.751995\pi$
$2$	−1.38083	+	0.369991i	−0.976392	+	0.261623i	−0.264867	+	0.964285i	$0.585328\pi$
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$4$	0.0377371	−	0.0217876i	0.0188686	−	0.0108938i
$5$	−0.512287	+	0.512287i	−0.229102	+	0.229102i	−0.812317	−	0.583216i	$-0.801794\pi$
$5$	−0.512287	+	0.512287i	−0.229102	+	0.229102i	0.583216	+	0.812317i	$0.301794\pi$
$6$	1.38083	+	0.369991i	0.563720	+	0.151048i
$7$	−1.54136	−	2.15040i	−0.582578	−	0.812775i
$7$	−1.54136	−	2.15040i	−0.582578	−	0.812775i
$8$	1.97762	−	1.97762i	0.699195	−	0.699195i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	0.517838	−	0.896921i	0.163755	−	0.283631i
$11$	1.38992	+	5.18727i	0.419078	+	1.56402i	0.776525	+	0.630086i	$0.216981\pi$
$11$	1.38992	+	5.18727i	0.419078	+	1.56402i	−0.357447	+	0.933933i	$0.616353\pi$
$12$	−0.0435751			−0.0125790
$13$	0.0545462	−	3.60514i	0.0151284	−	0.999886i
$13$	0.0545462	−	3.60514i	0.0151284	−	0.999886i
$14$	2.92397	+	2.39904i	0.781465	+	0.641171i
$15$	0.699797	−	0.187510i	0.180687	−	0.0484149i
$16$	−2.04263	+	3.53793i	−0.510656	+	0.884483i
$17$	1.31681	+	2.28077i	0.319372	+	0.553169i	0.980357	−	0.197230i	$-0.0631946\pi$
$17$	1.31681	+	2.28077i	0.319372	+	0.553169i	−0.660985	+	0.750399i	$0.729861\pi$
$18$	−1.01084	−	1.01084i	−0.238256	−	0.238256i
$19$	5.26328	+	1.41029i	1.20748	+	0.323543i	0.805773	−	0.592225i	$-0.201750\pi$
$19$	5.26328	+	1.41029i	1.20748	+	0.323543i	0.401707	+	0.915768i	$0.368417\pi$
$20$	−0.00817077	+	0.0304937i	−0.00182704	+	0.00681861i
$21$	0.259652	+	2.63298i	0.0566608	+	0.574563i
$22$	−3.83849	−	6.64846i	−0.818368	−	1.41746i
$23$	5.51236	+	3.18256i	1.14941	+	0.663610i	0.948742	−	0.316051i	$-0.102357\pi$
$23$	5.51236	+	3.18256i	1.14941	+	0.663610i	0.200663	+	0.979660i	$0.435690\pi$
$24$	−2.70148	+	0.723860i	−0.551438	+	0.147757i
$25$			4.47512i			0.895025i
$26$	1.25855	+	4.99825i	0.246822	+	0.980238i
$27$		−	1.00000i		−	0.192450i
$28$	−0.105018	−	0.0475676i	−0.0198466	−	0.00898944i
$29$	0.300703	−	0.520832i	0.0558391	−	0.0967161i	−0.836755	−	0.547578i	$-0.815550\pi$
$29$	0.300703	−	0.520832i	0.0558391	−	0.0967161i	0.892594	+	0.450862i	$0.148883\pi$
$30$	−0.896921	+	0.517838i	−0.163755	+	0.0945438i
$31$	6.22737	−	6.22737i	1.11847	−	1.11847i	0.126503	−	0.991966i	$-0.459625\pi$
$31$	6.22737	−	6.22737i	1.11847	−	1.11847i	0.991966	−	0.126503i	$-0.0403752\pi$
$32$	0.0637871	−	0.238057i	0.0112761	−	0.0420829i
$33$	1.38992	−	5.18727i	0.241955	−	0.902987i
$34$	−2.66215	−	2.66215i	−0.456554	−	0.456554i
$35$	1.89124	+	0.312006i	0.319678	+	0.0527387i
$36$	0.0377371	+	0.0217876i	0.00628952	+	0.00363126i
$37$	0.172749	+	0.644708i	0.0283998	+	0.105989i	0.978671	−	0.205435i	$-0.0658608\pi$
$37$	0.172749	+	0.644708i	0.0283998	+	0.105989i	−0.950271	+	0.311424i	$0.899194\pi$
$38$	−7.78948			−1.26362
$39$	−1.84981	+	3.09487i	−0.296206	+	0.495576i
$40$			2.02622i			0.320374i
$41$	2.11401	+	7.88960i	0.330153	+	1.23215i	0.909029	+	0.416733i	$0.136825\pi$
$41$	2.11401	+	7.88960i	0.330153	+	1.23215i	−0.578876	+	0.815416i	$0.696508\pi$
$42$	−1.33271	−	3.53962i	−0.205642	−	0.546175i
$43$	4.10340	−	2.36910i	0.625762	−	0.361284i	−0.153347	−	0.988172i	$-0.549005\pi$
$43$	4.10340	−	2.36910i	0.625762	−	0.361284i	0.779109	+	0.626888i	$0.215672\pi$
$44$	0.165470	+	0.165470i	0.0249455	+	0.0249455i
$45$	−0.699797	−	0.187510i	−0.104320	−	0.0279524i
$46$	−8.78913	−	2.35504i	−1.29589	−	0.347232i
$47$	−4.25821	−	4.25821i	−0.621123	−	0.621123i	0.324695	−	0.945819i	$-0.394738\pi$
$47$	−4.25821	−	4.25821i	−0.621123	−	0.621123i	−0.945819	+	0.324695i	$0.894738\pi$
$48$	3.53793	−	2.04263i	0.510656	−	0.294828i
$49$	−2.24845	+	6.62906i	−0.321207	+	0.947009i
$50$	−1.65576	−	6.17937i	−0.234159	−	0.873895i
$51$		−	2.63361i		−	0.368779i
$52$	−0.0764887	−	0.137236i	−0.0106071	−	0.0190312i
$53$	0.282101			0.0387495			0.0193748	−	0.999812i	$-0.493832\pi$
$53$	0.282101			0.0387495			0.0193748	+	0.999812i	$0.493832\pi$
$54$	0.369991	+	1.38083i	0.0503494	+	0.187907i
$55$	−3.36941	−	1.94533i	−0.454331	−	0.262308i
$56$	−7.30090	−	1.20446i	−0.975624	−	0.160953i
$57$	−3.85299	−	3.85299i	−0.510341	−	0.510341i
$58$	−0.222515	+	0.830436i	−0.0292176	+	0.109042i
$59$	1.21690	−	4.54153i	0.158427	−	0.591257i	−0.840361	−	0.542028i	$-0.817657\pi$
$59$	1.21690	−	4.54153i	0.158427	−	0.591257i	0.998787	−	0.0492295i	$-0.0156766\pi$
$60$	0.0223230	−	0.0223230i	0.00288188	−	0.00288188i
$61$	−13.0884	+	7.55656i	−1.67579	+	0.967519i	−0.711497	+	0.702690i	$0.751982\pi$
$61$	−13.0884	+	7.55656i	−1.67579	+	0.967519i	−0.964295	+	0.264829i	$0.914684\pi$
$62$	−6.29485	+	10.9030i	−0.799446	+	1.38468i
$63$	1.09162	−	2.41005i	0.137532	−	0.303638i
$64$		−	7.81819i		−	0.977273i
$65$	1.81892	+	1.87481i	0.225610	+	0.232541i
$66$			7.67698i			0.944970i
$67$	4.48192	−	1.20093i	0.547553	−	0.146716i	0.0255714	−	0.999673i	$-0.491859\pi$
$67$	4.48192	−	1.20093i	0.547553	−	0.146716i	0.521982	+	0.852957i	$0.325193\pi$
$68$	0.0993850	+	0.0573799i	0.0120522	+	0.00695834i
$69$	−3.18256	−	5.51236i	−0.383135	−	0.663610i
$70$	−2.72691	+	0.268916i	−0.325928	+	0.0321416i
$71$	4.11194	−	15.3460i	0.487998	−	1.82123i	−0.0781668	−	0.996940i	$-0.524907\pi$
$71$	4.11194	−	15.3460i	0.487998	−	1.82123i	0.566165	−	0.824292i	$-0.308427\pi$
$72$	2.70148	+	0.723860i	0.318373	+	0.0853077i
$73$	−3.04327	−	3.04327i	−0.356188	−	0.356188i	0.506218	−	0.862406i	$-0.331043\pi$
$73$	−3.04327	−	3.04327i	−0.356188	−	0.356188i	−0.862406	+	0.506218i	$0.831043\pi$
$74$	−0.477073	−	0.826314i	−0.0554586	−	0.0960571i
$75$	2.23756	−	3.87557i	0.258371	−	0.447512i
$76$	0.229348	−	0.0614536i	0.0263080	−	0.00704922i
$77$	9.01234	−	10.9843i	1.02705	−	1.25178i
$78$	1.40919	−	4.95789i	0.159559	−	0.561370i
$79$	4.77147			0.536832			0.268416	−	0.963303i	$-0.413500\pi$
$79$	4.77147			0.536832			0.268416	+	0.963303i	$0.413500\pi$
$80$	−0.766026	−	2.85885i	−0.0856443	−	0.319629i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	−5.83817	−	10.1120i	−0.644718	−	1.11668i
$83$	−2.42351	+	2.42351i	−0.266015	+	0.266015i	−0.827492	−	0.561477i	$-0.810233\pi$
$83$	−2.42351	+	2.42351i	−0.266015	+	0.266015i	0.561477	+	0.827492i	$0.310233\pi$
$84$	0.0671647	+	0.0937039i	0.00732827	+	0.0102239i
$85$	−1.84299	−	0.493829i	−0.199901	−	0.0535632i
$86$	−4.78954	+	4.78954i	−0.516469	+	0.516469i
$87$	−0.520832	+	0.300703i	−0.0558391	+	0.0322387i
$88$	13.0072	+	7.50971i	1.38657	+	0.800538i
$89$	5.75969	−	1.54330i	0.610526	−	0.163590i	0.0597085	−	0.998216i	$-0.480983\pi$
$89$	5.75969	−	1.54330i	0.610526	−	0.163590i	0.550817	+	0.834626i	$0.314316\pi$
$90$	1.03568			0.109170
$91$	−7.83657	+	5.43950i	−0.821496	+	0.570215i
$92$	0.277361			0.0289169
$93$	−8.50675	+	2.27938i	−0.882109	+	0.236360i
$94$	7.45535	+	4.30435i	0.768960	+	0.443959i
$95$	−3.41879	+	1.97384i	−0.350760	+	0.202511i
$96$	−0.174270	+	0.174270i	−0.0177863	+	0.0177863i
$97$	15.7347	+	4.21610i	1.59762	+	0.428080i	0.944322	−	0.329022i	$-0.106719\pi$
$97$	15.7347	+	4.21610i	1.59762	+	0.428080i	0.653296	+	0.757103i	$0.273386\pi$
$98$	0.652020	−	9.98549i	0.0658640	−	1.00869i
$99$	−3.79734	+	3.79734i	−0.381647	+	0.381647i
$100$	0.0975020	+	0.168878i	0.00975020	+	0.0168878i
$101$	−8.39661	+	14.5434i	−0.835494	+	1.44712i	0.0581328	+	0.998309i	$0.481485\pi$
$101$	−8.39661	+	14.5434i	−0.835494	+	1.44712i	−0.893627	+	0.448810i	$0.851848\pi$
$102$	0.974413	+	3.63656i	0.0964813	+	0.360073i
$103$	−0.962454			−0.0948334			−0.0474167	−	0.998875i	$-0.515099\pi$
$103$	−0.962454			−0.0948334			−0.0474167	+	0.998875i	$0.515099\pi$
$104$	−7.02173	−	7.23748i	−0.688538	−	0.709693i
$105$	−1.48186	−	1.21582i	−0.144615	−	0.118652i
$106$	−0.389532	+	0.104375i	−0.0378347	+	0.0101378i
$107$	−5.96703	+	10.3352i	−0.576854	+	0.999141i	0.418983	+	0.907994i	$0.362387\pi$
$107$	−5.96703	+	10.3352i	−0.576854	+	0.999141i	−0.995837	+	0.0911468i	$0.970947\pi$
$108$	−0.0217876	−	0.0377371i	−0.00209651	−	0.00363126i
$109$	3.42240	+	3.42240i	0.327807	+	0.327807i	0.851752	−	0.523945i	$-0.175540\pi$
$109$	3.42240	+	3.42240i	0.327807	+	0.327807i	−0.523945	+	0.851752i	$0.675540\pi$
$110$	5.37233	+	1.43951i	0.512231	+	0.137252i
$111$	0.172749	−	0.644708i	0.0163966	−	0.0611930i
$112$	10.7564	−	1.06075i	1.01638	−	0.100231i
$113$	6.78443	+	11.7510i	0.638226	+	1.10544i	0.985822	+	0.167795i	$0.0536647\pi$
$113$	6.78443	+	11.7510i	0.638226	+	1.10544i	−0.347596	+	0.937644i	$0.613002\pi$
$114$	6.74588	+	3.89474i	0.631810	+	0.364776i
$115$	−4.45429	+	1.19352i	−0.415365	+	0.111297i
$116$		−	0.0262063i		−	0.00243319i
$117$	3.14941	−	1.75533i	0.291163	−	0.162280i
$118$			6.72131i			0.618747i
$119$	2.87491	−	6.34714i	0.263543	−	0.581842i
$120$	1.01311	−	1.75476i	0.0924839	−	0.160187i
$121$	−15.4496	+	8.91981i	−1.40451	+	0.810892i
$122$	15.2769	−	15.2769i	1.38310	−	1.38310i
$123$	2.11401	−	7.88960i	0.190614	−	0.711381i
$124$	0.0993241	−	0.370682i	0.00891956	−	0.0332883i
$125$	−4.85398	−	4.85398i	−0.434153	−	0.434153i
$126$	−0.615645	+	3.73176i	−0.0548460	+	0.332451i
$127$	11.3554	+	6.55606i	1.00763	+	0.581757i	0.910497	−	0.413515i	$-0.135699\pi$
$127$	11.3554	+	6.55606i	1.00763	+	0.581757i	0.0971344	+	0.995271i	$0.469032\pi$
$128$	3.02024	+	11.2717i	0.266954	+	0.996285i
$129$	−4.73820			−0.417175
$130$	−3.20528	−	1.91580i	−0.281122	−	0.168027i
$131$			6.96325i			0.608382i	0.952611	+	0.304191i	$0.0983861\pi$
$131$			6.96325i			0.608382i	−0.952611	+	0.304191i	$0.901614\pi$
$132$	−0.0605661	−	0.226036i	−0.00527160	−	0.0196739i
$133$	−5.07990	−	13.4919i	−0.440483	−	1.16990i
$134$	−5.74442	+	3.31654i	−0.496242	+	0.286506i
$135$	0.512287	+	0.512287i	0.0440906	+	0.0440906i
$136$	7.11466	+	1.90637i	0.610077	+	0.163470i
$137$	−0.989826	−	0.265223i	−0.0845665	−	0.0226595i	0.216288	−	0.976330i	$-0.430605\pi$
$137$	−0.989826	−	0.265223i	−0.0845665	−	0.0226595i	−0.300854	+	0.953670i	$0.597272\pi$
$138$	6.43409	+	6.43409i	0.547706	+	0.547706i
$139$	13.5680	−	7.83346i	1.15082	−	0.664426i	0.201732	−	0.979441i	$-0.435343\pi$
$139$	13.5680	−	7.83346i	1.15082	−	0.664426i	0.949087	+	0.315015i	$0.102010\pi$
$140$	0.0781678	−	0.0294312i	0.00660639	−	0.00248739i
$141$	1.55861	+	5.81682i	0.131259	+	0.489865i
$142$			22.7115i			1.90591i
$143$	18.7766	−	4.72792i	1.57018	−	0.395369i
$144$	−4.08525			−0.340438
$145$	0.112770	+	0.420862i	0.00936500	+	0.0349507i
$146$	5.32821	+	3.07624i	0.440966	+	0.254592i
$147$	5.26174	−	4.61671i	0.433981	−	0.380780i
$148$	0.0205657	+	0.0205657i	0.00169049	+	0.00169049i
$149$	3.05630	−	11.4063i	0.250382	−	0.934438i	−0.720220	−	0.693746i	$-0.755959\pi$
$149$	3.05630	−	11.4063i	0.250382	−	0.934438i	0.970602	−	0.240692i	$-0.0773743\pi$
$150$	−1.65576	+	6.17937i	−0.135192	+	0.504543i
$151$	−8.50103	+	8.50103i	−0.691804	+	0.691804i	−0.962629	−	0.270825i	$-0.912704\pi$
$151$	−8.50103	+	8.50103i	−0.691804	+	0.691804i	0.270825	+	0.962629i	$0.412704\pi$
$152$	13.1978	−	7.61976i	1.07048	−	0.618044i
$153$	−1.31681	+	2.28077i	−0.106457	+	0.184390i
$154$	−8.38037	+	18.5019i	−0.675310	+	1.49093i
$155$			6.38040i			0.512486i
$156$	−0.00237685	+	0.157094i	−0.000190301	+	0.0125776i
$157$		−	0.627679i		−	0.0500942i	−0.999686	−	0.0250471i	$-0.992026\pi$
$157$		−	0.627679i		−	0.0500942i	0.999686	−	0.0250471i	$-0.00797357\pi$
$158$	−6.58857	+	1.76540i	−0.524158	+	0.140448i
$159$	−0.244307	−	0.141050i	−0.0193748	−	0.0111860i
$160$	0.0892761	+	0.154631i	0.00705789	+	0.0122246i
$161$	−1.65272	−	16.7592i	−0.130252	−	1.32081i
$162$	0.369991	−	1.38083i	0.0290693	−	0.108488i
$163$	12.2260	+	3.27594i	0.957613	+	0.256592i	0.703590	−	0.710607i	$-0.251579\pi$
$163$	12.2260	+	3.27594i	0.957613	+	0.256592i	0.254023	+	0.967198i	$0.418246\pi$
$164$	0.251672	+	0.251672i	0.0196523	+	0.0196523i
$165$	1.94533	+	3.36941i	0.151444	+	0.262308i
$166$	2.44977	−	4.24312i	0.190139	−	0.329330i
$167$	−14.4241	+	3.86492i	−1.11617	+	0.299076i	−0.769332	−	0.638849i	$-0.779411\pi$
$167$	−14.4241	+	3.86492i	−1.11617	+	0.299076i	−0.346837	+	0.937926i	$0.612744\pi$
$168$	5.72053	+	4.69355i	0.441349	+	0.362115i
$169$	−12.9940	−	0.393293i	−0.999542	−	0.0302533i
$170$	2.72757			0.209195
$171$	1.41029	+	5.26328i	0.107848	+	0.402493i
$172$	0.103234	−	0.178806i	0.00787150	−	0.0136338i
$173$	−6.31043	−	10.9300i	−0.479773	−	0.830991i	0.519958	−	0.854192i	$-0.325948\pi$
$173$	−6.31043	−	10.9300i	−0.479773	−	0.830991i	−0.999731	+	0.0232010i	$0.992614\pi$
$174$	0.607922	−	0.607922i	0.0460864	−	0.0460864i
$175$	9.62331	−	6.89776i	0.727454	−	0.521421i
$176$	−21.1913	−	5.67819i	−1.59735	−	0.428010i
$177$	−3.32463	+	3.32463i	−0.249895	+	0.249895i
$178$	−7.38212	+	4.26207i	−0.553313	+	0.319456i
$179$	−9.45522	−	5.45897i	−0.706716	−	0.408023i	0.103128	−	0.994668i	$-0.467115\pi$
$179$	−9.45522	−	5.45897i	−0.706716	−	0.408023i	−0.809844	+	0.586645i	$0.800448\pi$
$180$	−0.0304937	+	0.00817077i	−0.00227287	+	0.000609013i
$181$	5.94105			0.441595			0.220797	−	0.975320i	$-0.429134\pi$
$181$	5.94105			0.441595			0.220797	+	0.975320i	$0.429134\pi$
$182$	8.80837	−	10.4105i	0.652920	−	0.771676i
$183$	15.1131			1.11719
$184$	17.1953	−	4.60746i	1.26765	−	0.339666i
$185$	−0.418773	−	0.241779i	−0.0307888	−	0.0177759i
$186$	10.9030	−	6.29485i	0.799446	−	0.461560i
$187$	−10.0007	+	10.0007i	−0.731326	+	0.731326i
$188$	−0.253469	−	0.0679167i	−0.0184861	−	0.00495333i
$189$	−2.15040	+	1.54136i	−0.156419	+	0.112117i
$190$	3.99045	−	3.99045i	0.289498	−	0.289498i
$191$	−0.805155	−	1.39457i	−0.0582590	−	0.100907i	0.835425	−	0.549604i	$-0.185222\pi$
$191$	−0.805155	−	1.39457i	−0.0582590	−	0.100907i	−0.893684	+	0.448697i	$0.851888\pi$
$192$	−3.90909	+	6.77075i	−0.282115	+	0.488637i
$193$	−6.36607	−	23.7585i	−0.458240	−	1.71017i	−0.678384	−	0.734707i	$-0.737319\pi$
$193$	−6.36607	−	23.7585i	−0.458240	−	1.71017i	0.220144	−	0.975467i	$-0.429347\pi$
$194$	−23.2868			−1.67190
$195$	−0.637829	−	2.53309i	−0.0456759	−	0.181399i
$196$	0.0595811	+	0.299150i	0.00425579	+	0.0213679i
$197$	−4.77159	+	1.27854i	−0.339962	+	0.0910925i	−0.424761	−	0.905306i	$-0.639642\pi$
$197$	−4.77159	+	1.27854i	−0.339962	+	0.0910925i	0.0847991	+	0.996398i	$0.472975\pi$
$198$	3.83849	−	6.64846i	0.272789	−	0.472485i
$199$	2.30866	+	3.99871i	0.163656	+	0.283461i	0.936177	−	0.351528i	$-0.114338\pi$
$199$	2.30866	+	3.99871i	0.163656	+	0.283461i	−0.772521	+	0.634989i	$0.781005\pi$
$200$	8.85011	+	8.85011i	0.625797	+	0.625797i
$201$	−4.48192	−	1.20093i	−0.316130	−	0.0847068i
$202$	6.21335	−	23.1885i	0.437170	−	1.63154i
$203$	−1.58349	+	0.156156i	−0.111139	+	0.0109600i
$204$	−0.0573799	−	0.0993850i	−0.00401740	−	0.00695834i
$205$	−5.12472	−	2.95876i	−0.357926	−	0.206649i
$206$	1.32898	−	0.356100i	0.0925946	−	0.0248106i
$207$			6.36512i			0.442406i
$208$	12.6433	+	7.55693i	0.876656	+	0.523979i
$209$			29.2623i			2.02411i
$210$	2.49603	+	1.13057i	0.172243	+	0.0780166i
$211$	−3.39083	+	5.87308i	−0.233434	+	0.404320i	−0.958816	−	0.284026i	$-0.908330\pi$
$211$	−3.39083	+	5.87308i	−0.233434	+	0.404320i	0.725382	+	0.688346i	$0.241663\pi$
$212$	0.0106457	−	0.00614629i	0.000731149	−	0.000422129i
$213$	−11.2340	+	11.2340i	−0.769743	+	0.769743i
$214$	4.41550	−	16.4789i	0.301837	−	1.12647i
$215$	−0.888460	+	3.31578i	−0.0605924	+	0.226134i
$216$	−1.97762	−	1.97762i	−0.134560	−	0.134560i
$217$	−22.9899	−	3.79275i	−1.56066	−	0.257469i
$218$	−5.99200	−	3.45948i	−0.405830	−	0.234306i
$219$	1.11391	+	4.15718i	0.0752713	+	0.280916i
$220$	−0.169536			−0.0114301
$221$	8.29434	−	4.62286i	0.557937	−	0.310967i
$222$			0.954146i			0.0640381i
$223$	−5.00651	−	18.6845i	−0.335260	−	1.25121i	−0.903587	−	0.428406i	$-0.859075\pi$
$223$	−5.00651	−	18.6845i	−0.335260	−	1.25121i	0.568326	−	0.822803i	$-0.307591\pi$
$224$	−0.610236	+	0.229762i	−0.0407731	+	0.0153516i
$225$	−3.87557	+	2.23756i	−0.258371	+	0.149171i
$226$	−13.7159	−	13.7159i	−0.912367	−	0.912367i
$227$	−11.5655	−	3.09897i	−0.767631	−	0.205686i	−0.146306	−	0.989239i	$-0.546738\pi$
$227$	−11.5655	−	3.09897i	−0.767631	−	0.205686i	−0.621324	+	0.783553i	$0.713405\pi$
$228$	−0.229348	−	0.0614536i	−0.0151889	−	0.00406987i
$229$	0.755536	+	0.755536i	0.0499272	+	0.0499272i	0.731630	−	0.681702i	$-0.238760\pi$
$229$	0.755536	+	0.755536i	0.0499272	+	0.0499272i	−0.681702	+	0.731630i	$0.738760\pi$
$230$	5.70901	−	3.29610i	0.376441	−	0.217338i
$231$	−13.2971	+	5.00653i	−0.874883	+	0.329405i
$232$	−0.435333	−	1.62469i	−0.0285810	−	0.106666i
$233$		−	16.2619i		−	1.06535i	−0.846318	−	0.532677i	$-0.821186\pi$
$233$		−	16.2619i		−	1.06535i	0.846318	−	0.532677i	$-0.178814\pi$
$234$	−3.69934	+	3.58906i	−0.241833	+	0.234624i
$235$	4.36285			0.284601
$236$	−0.0530266	−	0.197898i	−0.00345173	−	0.0128820i
$237$	−4.13221	−	2.38573i	−0.268416	−	0.154970i
$238$	−1.62137	+	9.82800i	−0.105098	+	0.637054i
$239$	15.1795	+	15.1795i	0.981878	+	0.981878i	0.999839	−	0.0179604i	$-0.00571728\pi$
$239$	15.1795	+	15.1795i	0.981878	+	0.981878i	−0.0179604	+	0.999839i	$0.505717\pi$
$240$	−0.766026	+	2.85885i	−0.0494468	+	0.184538i
$241$	3.31373	−	12.3670i	0.213456	−	0.796630i	−0.773248	−	0.634104i	$-0.781369\pi$
$241$	3.31373	−	12.3670i	0.213456	−	0.796630i	0.986704	−	0.162526i	$-0.0519642\pi$
$242$	18.0329	−	18.0329i	1.15920	−	1.15920i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	−0.329278	+	0.570326i	−0.0210799	+	0.0365114i
$245$	−2.24413	−	4.54783i	−0.143372	−	0.290550i
$246$			11.6763i			0.744456i
$247$	5.37139	−	18.8979i	0.341773	−	1.20245i
$248$		−	24.6308i		−	1.56406i
$249$	3.31057	−	0.887065i	0.209799	−	0.0562155i
$250$	8.49844	+	4.90658i	0.537489	+	0.310319i
$251$	3.61972	+	6.26954i	0.228475	+	0.395730i	0.957356	−	0.288910i	$-0.0932928\pi$
$251$	3.61972	+	6.26954i	0.228475	+	0.395730i	−0.728881	+	0.684640i	$0.759959\pi$
$252$	−0.0113144	−	0.114732i	−0.000712739	−	0.00722746i
$253$	−8.84703	+	33.0176i	−0.556208	+	2.07580i
$254$	−18.1056	−	4.85137i	−1.13604	−	0.304402i
$255$	1.34917	+	1.34917i	0.0844880	+	0.0844880i
$256$	−0.522655	−	0.905265i	−0.0326659	−	0.0565790i
$257$	1.90293	−	3.29597i	0.118701	−	0.205597i	−0.800552	−	0.599263i	$-0.795460\pi$
$257$	1.90293	−	3.29597i	0.118701	−	0.205597i	0.919253	+	0.393667i	$0.128794\pi$
$258$	6.54263	−	1.75309i	0.407326	−	0.109143i
$259$	1.12011	−	1.36520i	0.0696005	−	0.0848296i
$260$	0.109488	+	0.0311201i	0.00679019	+	0.00192999i
$261$	0.601405			0.0372261
$262$	−2.57634	−	9.61504i	−0.159167	−	0.594019i
$263$	2.01647	−	3.49263i	0.124341	−	0.215365i	−0.797134	−	0.603802i	$-0.793652\pi$
$263$	2.01647	−	3.49263i	0.124341	−	0.215365i	0.921475	+	0.388437i	$0.126985\pi$
$264$	−7.50971	−	13.0072i	−0.462191	−	0.800538i
$265$	−0.144517	+	0.144517i	−0.00887759	+	0.00887759i
$266$	12.0064	+	16.7505i	0.736157	+	1.02704i
$267$	−5.75969	−	1.54330i	−0.352487	−	0.0944486i
$268$	0.142970	−	0.142970i	0.00873325	−	0.00873325i
$269$	−6.03395	+	3.48370i	−0.367897	+	0.212405i	−0.672539	−	0.740062i	$-0.734796\pi$
$269$	−6.03395	+	3.48370i	−0.367897	+	0.212405i	0.304643	+	0.952467i	$0.401463\pi$
$270$	−0.896921	−	0.517838i	−0.0545849	−	0.0315146i
$271$	−8.12317	+	2.17660i	−0.493447	+	0.132219i	−0.496957	−	0.867775i	$-0.665549\pi$
$271$	−8.12317	+	2.17660i	−0.493447	+	0.132219i	0.00350987	+	0.999994i	$0.498883\pi$
$272$	−10.7590			−0.652358
$273$	9.50642	−	0.792464i	0.575355	−	0.0479621i
$274$	1.46491			0.0884983
$275$	−23.2137	+	6.22008i	−1.39984	+	0.375085i
$276$	−0.240202	−	0.138680i	−0.0144584	−	0.00834758i
$277$	−8.34222	+	4.81638i	−0.501236	+	0.289388i	−0.729224	−	0.684275i	$-0.760119\pi$
$277$	−8.34222	+	4.81638i	−0.501236	+	0.289388i	0.227988	+	0.973664i	$0.426785\pi$
$278$	−15.8367	+	15.8367i	−0.949821	+	0.949821i
$279$	8.50675	+	2.27938i	0.509286	+	0.136463i
$280$	4.35719	−	3.12313i	0.260392	−	0.186643i
$281$	−9.81783	+	9.81783i	−0.585683	+	0.585683i	−0.936459	−	0.350777i	$-0.885918\pi$
$281$	−9.81783	+	9.81783i	−0.585683	+	0.585683i	0.350777	+	0.936459i	$0.385918\pi$
$282$	−4.30435	−	7.45535i	−0.256320	−	0.443959i
$283$	−0.916453	+	1.58734i	−0.0544775	+	0.0943578i	−0.891978	−	0.452079i	$-0.850683\pi$
$283$	−0.916453	+	1.58734i	−0.0544775	+	0.0943578i	0.837501	+	0.546436i	$0.184016\pi$
$284$	−0.179178	−	0.668703i	−0.0106323	−	0.0396802i
$285$	3.94767			0.233840
$286$	−24.1780	+	13.4756i	−1.42967	+	0.796831i
$287$	13.7074	−	16.7067i	0.809120	−	0.986163i
$288$	0.238057	−	0.0637871i	0.0140276	−	0.00375869i
$289$	5.03204	−	8.71576i	0.296003	−	0.512692i
$290$	−0.311430	−	0.539413i	−0.0182878	−	0.0316754i
$291$	−11.5186	−	11.5186i	−0.675233	−	0.675233i
$292$	−0.181150	−	0.0485389i	−0.0106010	−	0.00284052i
$293$	−7.17194	+	26.7660i	−0.418989	+	1.56369i	0.357719	+	0.933829i	$0.383554\pi$
$293$	−7.17194	+	26.7660i	−0.418989	+	1.56369i	−0.776709	+	0.629860i	$0.783112\pi$
$294$	−5.55741	+	8.32168i	−0.324115	+	0.485330i
$295$	1.70317	+	2.94997i	0.0991622	+	0.171754i
$296$	1.61662	+	0.933357i	0.0939642	+	0.0542503i
$297$	5.18727	−	1.38992i	0.300996	−	0.0806516i
$298$			16.8809i			0.977883i
$299$	11.7742	−	19.6992i	0.680922	−	1.13923i
$300$		−	0.195004i		−	0.0112586i
$301$	−11.4193	−	5.17233i	−0.658198	−	0.298128i
$302$	8.59314	−	14.8838i	0.494480	−	0.856464i
$303$	14.5434	−	8.39661i	0.835494	−	0.482373i
$304$	−15.7404	+	15.7404i	−0.902776	+	0.902776i
$305$	2.83386	−	10.5761i	0.162267	−	0.605587i
$306$	0.974413	−	3.63656i	0.0557035	−	0.207888i
$307$	−16.7091	−	16.7091i	−0.953641	−	0.953641i	0.0453311	−	0.998972i	$-0.485566\pi$
$307$	−16.7091	−	16.7091i	−0.953641	−	0.953641i	−0.998972	+	0.0453311i	$0.985566\pi$
$308$	0.100779	−	0.610873i	0.00574239	−	0.0348077i
$309$	0.833510	+	0.481227i	0.0474167	+	0.0273761i
$310$	−2.36069	−	8.81023i	−0.134078	−	0.500387i
$311$	1.88740			0.107025			0.0535124	−	0.998567i	$-0.482958\pi$
$311$	1.88740			0.107025			0.0535124	+	0.998567i	$0.482958\pi$
$312$	2.46226	+	9.77871i	0.139398	+	0.553610i
$313$		−	4.73972i		−	0.267905i	−0.990988	−	0.133953i	$-0.957233\pi$
$313$		−	4.73972i		−	0.267905i	0.990988	−	0.133953i	$-0.0427670\pi$
$314$	0.232236	+	0.866715i	0.0131058	+	0.0489116i
$315$	0.675414	+	1.79386i	0.0380553	+	0.101073i
$316$	0.180062	−	0.103959i	0.0101293	−	0.00584813i
$317$	12.0340	+	12.0340i	0.675897	+	0.675897i	0.959069	−	0.283172i	$-0.0913868\pi$
$317$	12.0340	+	12.0340i	0.675897	+	0.675897i	−0.283172	+	0.959069i	$0.591387\pi$
$318$	0.389532	+	0.104375i	0.0218439	+	0.00585305i
$319$	3.11965	+	0.835908i	0.174667	+	0.0468019i
$320$	4.00516	+	4.00516i	0.223895	+	0.223895i
$321$	10.3352	−	5.96703i	0.576854	−	0.333047i
$322$	8.48289	+	22.5301i	0.472733	+	1.25555i
$323$	3.71416	+	13.8614i	0.206662	+	0.771271i
$324$			0.0435751i			0.00242084i
$325$	16.1334	+	0.244101i	0.894922	+	0.0135403i
$326$	−18.0940			−1.00214
$327$	−1.25269	−	4.67509i	−0.0692737	−	0.258533i
$328$	19.7834	+	11.4219i	1.09235	+	0.630671i
$329$	−2.59344	+	15.7203i	−0.142981	+	0.866686i
$330$	−3.93281	−	3.93281i	−0.216494	−	0.216494i
$331$	−4.49452	+	16.7738i	−0.247041	+	0.921969i	0.725306	+	0.688427i	$0.241698\pi$
$331$	−4.49452	+	16.7738i	−0.247041	+	0.921969i	−0.972347	+	0.233542i	$0.924968\pi$
$332$	−0.0386540	+	0.144259i	−0.00212141	+	0.00791722i
$333$	−0.471959	+	0.471959i	−0.0258632	+	0.0258632i
$334$	18.4872	−	10.6736i	1.01157	−	0.584032i
$335$	−1.68081	+	2.91125i	−0.0918324	+	0.159058i
$336$	−9.84567	−	4.45956i	−0.537126	−	0.243289i
$337$		−	10.9597i		−	0.597011i	−0.954408	−	0.298506i	$-0.903512\pi$
$337$		−	10.9597i		−	0.597011i	0.954408	−	0.298506i	$-0.0964882\pi$
$338$	18.0880	−	4.26462i	0.983860	−	0.231965i
$339$		−	13.5689i		−	0.736960i
$340$	−0.0803086	+	0.0215186i	−0.00435535	+	0.00116701i
$341$	40.9586	+	23.6475i	2.21803	+	1.28058i
$342$	−3.89474	−	6.74588i	−0.210603	−	0.364776i
$343$	17.7208	−	5.38268i	0.956833	−	0.290637i
$344$	3.42979	−	12.8002i	0.184922	−	0.690138i
$345$	4.45429	+	1.19352i	0.239811	+	0.0642572i
$346$	12.7576	+	12.7576i	0.685853	+	0.685853i
$347$	−1.04935	−	1.81754i	−0.0563323	−	0.0975704i	0.836484	−	0.547991i	$-0.184607\pi$
$347$	−1.04935	−	1.81754i	−0.0563323	−	0.0975704i	−0.892816	+	0.450421i	$0.851274\pi$
$348$	−0.0131032	+	0.0226953i	−0.000702403	+	0.00121660i
$349$	4.33364	−	1.16119i	0.231974	−	0.0621573i	−0.140959	−	0.990015i	$-0.545019\pi$
$349$	4.33364	−	1.16119i	0.231974	−	0.0621573i	0.372933	+	0.927858i	$0.378352\pi$
$350$	−10.7360	+	13.0851i	−0.573864	+	0.699430i
$351$	−3.60514	−	0.0545462i	−0.192428	−	0.00291146i
$352$	1.32352			0.0705440
$353$	−3.60851	−	13.4671i	−0.192061	−	0.716783i	−0.993008	−	0.118047i	$-0.962337\pi$
$353$	−3.60851	−	13.4671i	−0.192061	−	0.716783i	0.800946	−	0.598736i	$-0.204330\pi$
$354$	3.36066	−	5.82083i	0.178617	−	0.309373i
$355$	5.75505	+	9.96804i	0.305446	+	0.529049i
$356$	0.183729	−	0.183729i	0.00973764	−	0.00973764i
$357$	−5.66332	+	4.05933i	−0.299735	+	0.214843i
$358$	15.0758	+	4.03954i	0.796780	+	0.213497i
$359$	14.5777	−	14.5777i	0.769383	−	0.769383i	−0.208615	−	0.977998i	$-0.566896\pi$
$359$	14.5777	−	14.5777i	0.769383	−	0.769383i	0.977998	+	0.208615i	$0.0668956\pi$
$360$	−1.75476	+	1.01311i	−0.0924839	+	0.0533956i
$361$	9.25874	+	5.34554i	0.487302	+	0.281344i
$362$	−8.20356	+	2.19814i	−0.431169	+	0.115531i
$363$	17.8396			0.936338
$364$	−0.177216	+	0.376011i	−0.00928866	+	0.0197083i
$365$	3.11805			0.163206
$366$	−20.8686	+	5.59173i	−1.09082	+	0.292284i
$367$	−6.13097	−	3.53972i	−0.320034	−	0.184772i	0.331374	−	0.943500i	$-0.392488\pi$
$367$	−6.13097	−	3.53972i	−0.320034	−	0.184772i	−0.651408	+	0.758728i	$0.725821\pi$
$368$	−22.5194	+	13.0016i	−1.17390	+	0.677753i
$369$	−5.77559	+	5.77559i	−0.300665	+	0.300665i
$370$	0.667708	+	0.178912i	0.0347125	+	0.00930119i
$371$	−0.434818	−	0.606630i	−0.0225746	−	0.0314947i
$372$	−0.271358	+	0.271358i	−0.0140693	+	0.0140693i
$373$	−8.61866	−	14.9280i	−0.446257	−	0.772941i	0.551881	−	0.833923i	$-0.313910\pi$
$373$	−8.61866	−	14.9280i	−0.446257	−	0.772941i	−0.998139	+	0.0609820i	$0.980577\pi$
$374$	10.1091	−	17.5094i	0.522728	−	0.905392i
$375$	1.77668	+	6.63066i	0.0917474	+	0.342406i
$376$	−16.8423			−0.868573
$377$	−1.86127	−	1.11248i	−0.0958603	−	0.0572959i
$378$	2.39904	−	2.92397i	0.123393	−	0.150393i
$379$	4.36936	−	1.17077i	0.224439	−	0.0601382i	−0.144847	−	0.989454i	$-0.546269\pi$
$379$	4.36936	−	1.17077i	0.224439	−	0.0601382i	0.369286	+	0.929316i	$0.379602\pi$
$380$	−0.0860102	+	0.148974i	−0.00441223	+	0.00764220i
$381$	−6.55606	−	11.3554i	−0.335877	−	0.581757i
$382$	1.62776	+	1.62776i	0.0832833	+	0.0832833i
$383$	−27.6971	−	7.42141i	−1.41525	−	0.379216i	−0.531456	−	0.847086i	$-0.678355\pi$
$383$	−27.6971	−	7.42141i	−1.41525	−	0.379216i	−0.883798	+	0.467870i	$0.845022\pi$
$384$	3.02024	−	11.2717i	0.154126	−	0.575205i
$385$	1.01022	+	10.2440i	0.0514855	+	0.522084i
$386$	17.5809	+	30.4510i	0.894843	+	1.54991i
$387$	4.10340	+	2.36910i	0.208587	+	0.120428i
$388$	0.685642	−	0.183717i	0.0348082	−	0.00932682i
$389$			6.44786i			0.326919i	0.986550	+	0.163460i	$0.0522654\pi$
$389$			6.44786i			0.326919i	−0.986550	+	0.163460i	$0.947735\pi$
$390$	1.81795	+	3.26177i	0.0920556	+	0.165166i
$391$			16.7633i			0.847754i
$392$	8.66321	+	17.5564i	0.437558	+	0.886731i
$393$	3.48162	−	6.03035i	0.175625	−	0.304191i
$394$	6.11569	−	3.53089i	0.308104	−	0.177884i
$395$	−2.44436	+	2.44436i	−0.122989	+	0.122989i
$396$	−0.0605661	+	0.226036i	−0.00304356	+	0.0113587i
$397$	−7.70578	+	28.7583i	−0.386742	+	1.44334i	0.448661	+	0.893702i	$0.351901\pi$
$397$	−7.70578	+	28.7583i	−0.386742	+	1.44334i	−0.835403	+	0.549638i	$0.814766\pi$
$398$	−4.66734	−	4.66734i	−0.233953	−	0.233953i
$399$	−2.34665	+	14.2243i	−0.117479	+	0.712106i
$400$	−15.8327	−	9.14100i	−0.791634	−	0.457050i
$401$	−5.89581	−	22.0035i	−0.294423	−	1.09880i	−0.941675	−	0.336524i	$-0.890749\pi$
$401$	−5.89581	−	22.0035i	−0.294423	−	1.09880i	0.647252	−	0.762276i	$-0.275918\pi$
$402$	6.63308			0.330828
$403$	−22.1109	−	22.7902i	−1.10142	−	1.13526i
$404$			0.731767i			0.0364068i
$405$	−0.187510	−	0.699797i	−0.00931745	−	0.0347732i
$406$	2.12875	−	0.801502i	0.105648	−	0.0397779i
$407$	−3.10417	+	1.79219i	−0.153868	+	0.0888356i
$408$	−5.20829	−	5.20829i	−0.257849	−	0.257849i
$409$	2.36322	+	0.633222i	0.116854	+	0.0313108i	0.316772	−	0.948502i	$-0.397401\pi$
$409$	2.36322	+	0.633222i	0.116854	+	0.0313108i	−0.199918	+	0.979813i	$0.564068\pi$
$410$	8.17107	+	2.18943i	0.403540	+	0.108128i
$411$	0.724603	+	0.724603i	0.0357420	+	0.0357420i
$412$	−0.0363203	+	0.0209695i	−0.00178937	+	0.00103309i
$413$	−11.6418	+	4.38329i	−0.572855	+	0.215688i
$414$	−2.35504	−	8.78913i	−0.115744	−	0.431962i
$415$		−	2.48306i		−	0.121889i
$416$	−0.854748	−	0.242946i	−0.0419075	−	0.0119114i
$417$	−15.6669			−0.767213
$418$	−10.8268	−	40.4061i	−0.529555	−	1.97633i
$419$	−16.9152	−	9.76598i	−0.826361	−	0.477100i	0.0262443	−	0.999656i	$-0.491645\pi$
$419$	−16.9152	−	9.76598i	−0.826361	−	0.477100i	−0.852605	+	0.522556i	$0.824979\pi$
$420$	−0.0824109	−	0.0135957i	−0.00402124	−	0.000663402i
$421$	14.8560	+	14.8560i	0.724035	+	0.724035i	0.969425	−	0.245389i	$-0.0789158\pi$
$421$	14.8560	+	14.8560i	0.724035	+	0.724035i	−0.245389	+	0.969425i	$0.578916\pi$
$422$	2.50915	−	9.36428i	0.122144	−	0.455846i
$423$	1.55861	−	5.81682i	0.0757823	−	0.282823i
$424$	0.557889	−	0.557889i	0.0270935	−	0.0270935i
$425$	−10.2067	+	5.89287i	−0.495100	+	0.285846i
$426$	11.3558	−	19.6687i	0.550188	−	0.952954i
$427$	36.4234	+	16.4979i	1.76265	+	0.798387i
$428$			0.520028i			0.0251365i
$429$	−18.6250	−	5.29381i	−0.899224	−	0.255588i
$430$		−	4.90723i		−	0.236648i
$431$	13.8720	−	3.71698i	0.668188	−	0.179041i	0.0912498	−	0.995828i	$-0.470914\pi$
$431$	13.8720	−	3.71698i	0.668188	−	0.179041i	0.576939	+	0.816788i	$0.304247\pi$
$432$	3.53793	+	2.04263i	0.170219	+	0.0982759i
$433$	−18.2103	−	31.5412i	−0.875131	−	1.51577i	−0.856623	−	0.515943i	$-0.827442\pi$
$433$	−18.2103	−	31.5412i	−0.875131	−	1.51577i	−0.0185084	−	0.999829i	$-0.505892\pi$
$434$	33.1484	−	3.26894i	1.59117	−	0.156914i
$435$	0.112770	−	0.420862i	0.00540689	−	0.0201788i
$436$	0.203717	+	0.0545859i	0.00975630	+	0.00261419i
$437$	24.5248	+	24.5248i	1.17318	+	1.17318i
$438$	−3.07624	−	5.32821i	−0.146989	−	0.254592i
$439$	16.0130	−	27.7354i	0.764259	−	1.32374i	−0.176378	−	0.984323i	$-0.556438\pi$
$439$	16.0130	−	27.7354i	0.764259	−	1.32374i	0.940637	−	0.339414i	$-0.110229\pi$
$440$	−10.5106	+	2.81629i	−0.501071	+	0.134262i
$441$	−6.86516	+	1.36732i	−0.326912	+	0.0651104i
$442$	−9.74262	+	9.45220i	−0.463409	+	0.449595i
$443$	13.4249			0.637834			0.318917	−	0.947783i	$-0.396681\pi$
$443$	13.4249			0.637834			0.318917	+	0.947783i	$0.396681\pi$
$444$	−0.00752756	−	0.0280932i	−0.000357242	−	0.00133325i
$445$	−2.16000	+	3.74123i	−0.102394	+	0.177351i
$446$	13.8262	+	23.9477i	0.654691	+	1.13396i
$447$	−8.34997	+	8.34997i	−0.394940	+	0.394940i
$448$	−16.8122	+	12.0506i	−0.794304	+	0.569338i
$449$	18.5886	+	4.98079i	0.877248	+	0.235058i	0.669220	−	0.743065i	$-0.266629\pi$
$449$	18.5886	+	4.98079i	0.877248	+	0.235058i	0.208029	+	0.978123i	$0.433295\pi$
$450$	4.52361	−	4.52361i	0.213245	−	0.213245i
$451$	−37.9872	+	21.9319i	−1.78875	+	1.03273i
$452$	0.512050	+	0.295632i	0.0240848	+	0.0139054i
$453$	11.6126	−	3.11159i	0.545609	−	0.146195i
$454$	17.1166			0.803320
$455$	1.22799	−	6.80116i	0.0575688	−	0.318843i
$456$	−15.2395			−0.713656
$457$	24.5036	−	6.56571i	1.14623	−	0.307131i	0.364776	−	0.931095i	$-0.381146\pi$
$457$	24.5036	−	6.56571i	1.14623	−	0.307131i	0.781453	+	0.623964i	$0.214479\pi$
$458$	−1.32281	−	0.763722i	−0.0618107	−	0.0356864i
$459$	2.28077	−	1.31681i	0.106457	−	0.0614632i
$460$	−0.142088	+	0.142088i	−0.00662490	+	0.00662490i
$461$	23.2002	+	6.21648i	1.08054	+	0.289530i	0.754818	−	0.655935i	$-0.227725\pi$
$461$	23.2002	+	6.21648i	1.08054	+	0.289530i	0.325724	+	0.945465i	$0.394392\pi$
$462$	16.5086	−	11.8329i	0.768048	−	0.550518i
$463$	1.96489	−	1.96489i	0.0913160	−	0.0913160i	−0.659973	−	0.751289i	$-0.729432\pi$
$463$	1.96489	−	1.96489i	0.0913160	−	0.0913160i	0.751289	+	0.659973i	$0.229432\pi$
$464$	1.22845	+	2.12773i	0.0570292	+	0.0987774i
$465$	3.19020	−	5.52559i	0.147942	−	0.256243i
$466$	6.01678	+	22.4549i	0.278722	+	1.04020i
$467$	−1.05748			−0.0489341			−0.0244671	−	0.999701i	$-0.507789\pi$
$467$	−1.05748			−0.0489341			−0.0244671	+	0.999701i	$0.507789\pi$
$468$	0.0806056	−	0.134859i	0.00372599	−	0.00623387i
$469$	−9.49070	−	7.78687i	−0.438240	−	0.359564i
$470$	−6.02434	+	1.61422i	−0.277882	+	0.0744582i
$471$	−0.313839	+	0.543586i	−0.0144610	+	0.0250471i
$472$	−6.57487	−	11.3880i	−0.302633	−	0.524176i
$473$	17.9926	+	17.9926i	0.827299	+	0.827299i
$474$	6.58857	+	1.76540i	0.302623	+	0.0810876i
$475$	−6.31123	+	23.5538i	−0.289579	+	1.08072i
$476$	−0.0297977	−	0.302160i	−0.00136577	−	0.0138495i
$477$	0.141050	+	0.244307i	0.00645826	+	0.0111860i
$478$	−26.5765	−	15.3439i	−1.21558	−	0.701816i
$479$	4.87277	−	1.30565i	0.222643	−	0.0596569i	−0.145773	−	0.989318i	$-0.546567\pi$
$479$	4.87277	−	1.30565i	0.222643	−	0.0596569i	0.368416	+	0.929661i	$0.379900\pi$
$480$		−	0.178552i		−	0.00814975i
$481$	2.33369	−	0.587618i	0.106407	−	0.0267931i
$482$			18.3028i			0.833668i
$483$	−6.94832	+	15.3403i	−0.316159	+	0.698007i
$484$	−0.388682	+	0.673217i	−0.0176674	+	0.0306008i
$485$	−10.2205	+	5.90083i	−0.464091	+	0.267943i
$486$	−1.01084	+	1.01084i	−0.0458524	+	0.0458524i
$487$	0.725342	−	2.70701i	0.0328684	−	0.122666i	−0.947542	−	0.319630i	$-0.896441\pi$
$487$	0.725342	−	2.70701i	0.0328684	−	0.122666i	0.980411	+	0.196964i	$0.0631081\pi$
$488$	−10.9398	+	40.8279i	−0.495221	+	1.84819i
$489$	−8.95004	−	8.95004i	−0.404735	−	0.404735i
$490$	4.78142	+	5.44946i	0.216002	+	0.246182i
$491$	−10.7778	−	6.22255i	−0.486394	−	0.280820i	0.236683	−	0.971587i	$-0.423940\pi$
$491$	−10.7778	−	6.22255i	−0.486394	−	0.280820i	−0.723077	+	0.690767i	$0.757273\pi$
$492$	−0.0921183	−	0.343790i	−0.00415301	−	0.0154993i
$493$	1.58387			0.0713338
$494$	−0.424886	+	28.0821i	−0.0191165	+	1.26348i
$495$		−	3.89066i		−	0.174872i
$496$	9.31182	+	34.7522i	0.418113	+	1.56042i
$497$	−39.3380	+	14.8113i	−1.76455	+	0.664377i
$498$	−4.24312	+	2.44977i	−0.190139	+	0.109777i
$499$	−6.23994	−	6.23994i	−0.279338	−	0.279338i	0.553507	−	0.832845i	$-0.313289\pi$
$499$	−6.23994	−	6.23994i	−0.279338	−	0.279338i	−0.832845	+	0.553507i	$0.813289\pi$
$500$	−0.288932	−	0.0774191i	−0.0129214	−	0.00346229i
$501$	14.4241	+	3.86492i	0.644420	+	0.172672i
$502$	−7.31788	−	7.31788i	−0.326613	−	0.326613i
$503$	13.6723	−	7.89370i	0.609617	−	0.351963i	−0.163198	−	0.986593i	$-0.552181\pi$
$503$	13.6723	−	7.89370i	0.609617	−	0.351963i	0.772816	+	0.634631i	$0.218848\pi$
$504$	−2.60736	−	6.92500i	−0.116141	−	0.308464i
$505$	−3.14890	−	11.7519i	−0.140124	−	0.522951i
$506$		−	48.8649i		−	2.17231i
$507$	11.0565	+	6.83763i	0.491038	+	0.303670i
$508$	0.571362			0.0253501
$509$	−6.32401	−	23.6015i	−0.280307	−	1.04612i	−0.952201	−	0.305472i	$-0.901186\pi$
$509$	−6.32401	−	23.6015i	−0.280307	−	1.04612i	0.671894	−	0.740647i	$-0.265481\pi$
$510$	−2.36214	−	1.36378i	−0.104597	−	0.0603893i
$511$	−1.85349	+	11.2350i	−0.0819936	+	0.497007i
$512$	−15.4462	−	15.4462i	−0.682634	−	0.682634i
$513$	1.41029	−	5.26328i	0.0622659	−	0.232380i
$514$	−1.40813	+	5.25523i	−0.0621101	+	0.231798i
$515$	0.493053	−	0.493053i	0.0217265	−	0.0217265i
$516$	−0.178806	+	0.103234i	−0.00787150	+	0.00454461i
$517$	16.1699	−	28.0070i	0.711150	−	1.23175i
$518$	−1.04157	+	2.29954i	−0.0457639	+	0.101036i
$519$			12.6209i			0.553994i
$520$	7.30481	+	0.110523i	0.320337	+	0.00484674i
$521$		−	2.98806i		−	0.130909i	−0.997856	−	0.0654547i	$-0.979150\pi$
$521$		−	2.98806i		−	0.130909i	0.997856	−	0.0654547i	$-0.0208498\pi$
$522$	−0.830436	+	0.222515i	−0.0363472	+	0.00973921i
$523$	23.5900	+	13.6197i	1.03152	+	0.595547i	0.917419	−	0.397922i	$-0.130269\pi$
$523$	23.5900	+	13.6197i	1.03152	+	0.595547i	0.114099	+	0.993469i	$0.463602\pi$
$524$	0.151712	+	0.262773i	0.00662757	+	0.0114793i
$525$	−11.7829	+	1.16198i	−0.514248	+	0.0507128i
$526$	−1.49215	+	5.56879i	−0.0650610	+	0.242811i
$527$	22.4035	+	6.00299i	0.975910	+	0.261494i
$528$	15.5131	+	15.5131i	0.675121	+	0.675121i
$529$	8.75738	+	15.1682i	0.380756	+	0.659488i
$530$	0.146083	−	0.253022i	0.00634542	−	0.0109906i
$531$	4.54153	−	1.21690i	0.197086	−	0.0528090i
$532$	−0.485657	−	0.398468i	−0.0210559	−	0.0172758i
$533$	28.5584	−	7.19096i	1.23700	−	0.311475i
$534$	8.52414			0.368875
$535$	−2.23776	−	8.35142i	−0.0967466	−	0.361063i
$536$	6.48856	−	11.2385i	0.280263	−	0.485430i
$537$	5.45897	+	9.45522i	0.235572	+	0.408023i
$538$	7.04290	−	7.04290i	0.303641	−	0.303641i
$539$	−37.5119	−	2.44941i	−1.61575	−	0.105503i
$540$	0.0304937	+	0.00817077i	0.00131224	+	0.000351614i
$541$	−5.00068	+	5.00068i	−0.214996	+	0.214996i	−0.806386	−	0.591390i	$-0.798579\pi$
$541$	−5.00068	+	5.00068i	−0.214996	+	0.214996i	0.591390	+	0.806386i	$0.298579\pi$
$542$	10.4114	−	6.01100i	0.447206	−	0.258195i
$543$	−5.14510	−	2.97052i	−0.220797	−	0.127477i
$544$	0.626949	−	0.167990i	0.0268802	−	0.00720253i
$545$	−3.50650			−0.150202
$546$	−12.8335	+	4.61155i	−0.549224	+	0.197356i
$547$	−23.2544			−0.994288			−0.497144	−	0.867668i	$-0.665618\pi$
$547$	−23.2544			−0.994288			−0.497144	+	0.867668i	$0.665618\pi$
$548$	−0.0431318	+	0.0115571i	−0.00184250	+	0.000493696i
$549$	−13.0884	−	7.55656i	−0.558597	−	0.322506i
$550$	29.7527	−	17.1777i	1.26866	−	0.732460i
$551$	2.31721	−	2.31721i	0.0987164	−	0.0987164i
$552$	−17.1953	−	4.60746i	−0.731879	−	0.196106i
$553$	−7.35453	−	10.2606i	−0.312746	−	0.436324i
$554$	9.73714	−	9.73714i	0.413691	−	0.413691i
$555$	0.241779	+	0.418773i	0.0102629	+	0.0177759i
$556$	0.341344	−	0.591225i	0.0144762	−	0.0250735i
$557$	−4.49356	−	16.7702i	−0.190398	−	0.710576i	−0.993410	−	0.114613i	$-0.963437\pi$
$557$	−4.49356	−	16.7702i	−0.190398	−	0.710576i	0.803012	−	0.595963i	$-0.203230\pi$
$558$	−12.5897			−0.532964
$559$	−8.31710	−	14.9225i	−0.351776	−	0.631156i
$560$	−4.96695	+	6.05376i	−0.209892	+	0.255818i
$561$	13.6612	−	3.66052i	0.576778	−	0.154547i
$562$	9.92421	−	17.1892i	0.418627	−	0.725084i
$563$	9.17267	+	15.8875i	0.386582	+	0.669579i	0.991987	−	0.126338i	$-0.0403223\pi$
$563$	9.17267	+	15.8875i	0.386582	+	0.669579i	−0.605405	+	0.795917i	$0.706989\pi$
$564$	0.185552	+	0.185552i	0.00781314	+	0.00781314i
$565$	−9.49545	−	2.54430i	−0.399477	−	0.107039i
$566$	0.678159	−	2.53093i	0.0285052	−	0.106383i
$567$	2.63298	−	0.259652i	0.110575	−	0.0109044i
$568$	−22.2167	−	38.4804i	−0.932191	−	1.61460i
$569$	−12.1394	−	7.00867i	−0.508909	−	0.293819i	0.223476	−	0.974709i	$-0.428260\pi$
$569$	−12.1394	−	7.00867i	−0.508909	−	0.293819i	−0.732385	+	0.680891i	$0.761593\pi$
$570$	−5.45105	+	1.46061i	−0.228319	+	0.0611780i
$571$		−	10.4239i		−	0.436226i	−0.975924	−	0.218113i	$-0.930010\pi$
$571$		−	10.4239i		−	0.436226i	0.975924	−	0.218113i	$-0.0699901\pi$
$572$	0.605567	−	0.587515i	0.0253200	−	0.0245652i
$573$			1.61031i			0.0672716i
$574$	−12.7462	+	28.1406i	−0.532015	+	1.17457i
$575$	−14.2424	+	24.6685i	−0.593947	+	1.02875i
$576$	6.77075	−	3.90909i	0.282115	−	0.162879i
$577$	−11.2444	+	11.2444i	−0.468111	+	0.468111i	−0.901302	−	0.433191i	$-0.857388\pi$
$577$	−11.2444	+	11.2444i	−0.468111	+	0.468111i	0.433191	+	0.901302i	$0.357388\pi$
$578$	−3.72363	+	13.8968i	−0.154882	+	0.578029i
$579$	−6.36607	+	23.7585i	−0.264565	+	0.987370i
$580$	0.0134252	+	0.0134252i	0.000557449	+	0.000557449i
$581$	8.94700	+	1.47603i	0.371184	+	0.0612359i
$582$	20.1670	+	11.6434i	0.835948	+	0.482635i
$583$	0.392099	+	1.46333i	0.0162391	+	0.0606051i
$584$	−12.0369			−0.498090
$585$	−0.714171	+	2.51264i	−0.0295273	+	0.103885i
$586$		−	39.6128i		−	1.63639i
$587$	10.3083	+	38.4710i	0.425468	+	1.58787i	0.762900	+	0.646517i	$0.223775\pi$
$587$	10.3083	+	38.4710i	0.425468	+	1.58787i	−0.337432	+	0.941350i	$0.609558\pi$
$588$	0.0979764	−	0.288862i	0.00404048	−	0.0119125i
$589$	41.5588	−	23.9940i	1.71240	−	0.988656i
$590$	−3.44324	−	3.44324i	−0.141756	−	0.141756i
$591$	4.77159	+	1.27854i	0.196277	+	0.0525923i
$592$	−2.63379	−	0.705723i	−0.108248	−	0.0290050i
$593$	−23.4934	−	23.4934i	−0.964759	−	0.964759i	0.0346408	−	0.999400i	$-0.488971\pi$
$593$	−23.4934	−	23.4934i	−0.964759	−	0.964759i	−0.999400	+	0.0346408i	$0.988971\pi$
$594$	−6.64846	+	3.83849i	−0.272789	+	0.157495i
$595$	1.77878	+	4.72434i	0.0729228	+	0.193679i
$596$	−0.133179	−	0.497029i	−0.00545521	−	0.0203591i
$597$		−	4.61731i		−	0.188974i
$598$	−8.96966	+	31.5576i	−0.366797	+	1.29048i
$599$	−45.3452			−1.85276			−0.926378	−	0.376594i	$-0.877095\pi$
$599$	−45.3452			−1.85276			−0.926378	+	0.376594i	$0.877095\pi$
$600$	−3.23936	−	12.0895i	−0.132246	−	0.493551i
$601$	−24.8361	−	14.3392i	−1.01309	−	0.584906i	−0.100993	−	0.994887i	$-0.532202\pi$
$601$	−24.8361	−	14.3392i	−1.01309	−	0.584906i	−0.912094	+	0.409981i	$0.865535\pi$
$602$	17.6818	+	2.91705i	0.720656	+	0.118890i
$603$	3.28099	+	3.28099i	0.133612	+	0.133612i
$604$	−0.135588	+	0.506021i	−0.00551700	+	0.0205897i
$605$	3.34511	−	12.4841i	0.135998	−	0.507552i
$606$	−16.9752	+	16.9752i	−0.689570	+	0.689570i
$607$	8.50843	−	4.91234i	0.345347	−	0.199386i	−0.317287	−	0.948329i	$-0.602772\pi$
$607$	8.50843	−	4.91234i	0.345347	−	0.199386i	0.662634	+	0.748944i	$0.269439\pi$
$608$	0.671459	−	1.16300i	0.0272313	−	0.0471659i
$609$	1.44942	+	0.656509i	0.0587334	+	0.0266031i
$610$			15.6523i			0.633743i
$611$	−15.5837	+	15.1192i	−0.630449	+	0.611656i
$612$			0.114760i			0.00463889i
$613$	−24.7029	+	6.61912i	−0.997741	+	0.267344i	−0.720499	−	0.693456i	$-0.756087\pi$
$613$	−24.7029	+	6.61912i	−0.997741	+	0.267344i	−0.277242	+	0.960800i	$0.589420\pi$
$614$	29.2547	+	16.8902i	1.18062	+	0.681632i
$615$	2.95876	+	5.12472i	0.119309	+	0.206649i
$616$	−3.89983	−	39.5458i	−0.157129	−	1.59335i
$617$	1.62469	−	6.06341i	0.0654074	−	0.244104i	−0.925480	−	0.378796i	$-0.876338\pi$
$617$	1.62469	−	6.06341i	0.0654074	−	0.244104i	0.990887	+	0.134693i	$0.0430047\pi$
$618$	−1.32898	−	0.356100i	−0.0534595	−	0.0143244i
$619$	28.4665	+	28.4665i	1.14416	+	1.14416i	0.987680	+	0.156484i	$0.0500161\pi$
$619$	28.4665	+	28.4665i	1.14416	+	1.14416i	0.156484	+	0.987680i	$0.449984\pi$
$620$	0.139013	+	0.240778i	0.00558291	+	0.00966989i
$621$	3.18256	−	5.51236i	0.127712	−	0.221203i
$622$	−2.60617	+	0.698322i	−0.104498	+	0.0280002i
$623$	−12.1964	−	10.0069i	−0.488640	−	0.400916i
$624$	−7.17097	−	12.8662i	−0.287068	−	0.515058i
$625$	−17.4024			−0.696094
$626$	1.75366	+	6.54474i	0.0700902	+	0.261580i
$627$	14.6311	−	25.3419i	0.584311	−	1.01206i
$628$	−0.0136756	−	0.0236868i	−0.000545715	−	0.000945206i
$629$	−1.24296	+	1.24296i	−0.0495599	+	0.0495599i
$630$	−1.59634	−	2.22712i	−0.0635999	−	0.0887305i
$631$	12.2380	+	3.27917i	0.487188	+	0.130542i	0.494048	−	0.869435i	$-0.335517\pi$
$631$	12.2380	+	3.27917i	0.487188	+	0.130542i	−0.00685968	+	0.999976i	$0.502184\pi$
$632$	9.43616	−	9.43616i	0.375350	−	0.375350i
$633$	5.87308	−	3.39083i	0.233434	−	0.134773i
$634$	−21.0693	−	12.1644i	−0.836771	−	0.483110i
$635$	−9.17583	+	2.45866i	−0.364132	+	0.0975688i
$636$	−0.0122926			−0.000487432
$637$	23.7760	+	8.46756i	0.942041	+	0.335497i
$638$	−4.61697			−0.182788
$639$	15.3460	−	4.11194i	0.607078	−	0.162666i
$640$	−7.32156	−	4.22710i	−0.289410	−	0.167091i
$641$	24.0436	−	13.8816i	0.949666	−	0.548290i	0.0566885	−	0.998392i	$-0.481946\pi$
$641$	24.0436	−	13.8816i	0.949666	−	0.548290i	0.892977	+	0.450102i	$0.148612\pi$
$642$	−12.0634	+	12.0634i	−0.476103	+	0.476103i
$643$	17.1125	+	4.58528i	0.674851	+	0.180826i	0.579939	−	0.814660i	$-0.303076\pi$
$643$	17.1125	+	4.58528i	0.674851	+	0.180826i	0.0949121	+	0.995486i	$0.469743\pi$
$644$	−0.427512	−	0.596437i	−0.0168463	−	0.0235029i
$645$	2.42732	−	2.42732i	0.0955755	−	0.0955755i
$646$	−10.2572	−	17.7660i	−0.403565	−	0.698995i
$647$	3.33450	−	5.77553i	0.131093	−	0.227059i	−0.793005	−	0.609215i	$-0.791485\pi$
$647$	3.33450	−	5.77553i	0.131093	−	0.227059i	0.924098	+	0.382155i	$0.124818\pi$
$648$	0.723860	+	2.70148i	0.0284359	+	0.106124i
$649$	25.2495			0.991131
$650$	−22.3678	+	5.63217i	−0.877337	+	0.220912i
$651$	18.0135	+	14.7796i	0.706004	+	0.579258i
$652$	0.532748	−	0.142749i	0.0208640	−	0.00559050i
$653$	−0.491840	+	0.851891i	−0.0192472	+	0.0333371i	−0.875489	−	0.483239i	$-0.839460\pi$
$653$	−0.491840	+	0.851891i	−0.0192472	+	0.0333371i	0.856241	+	0.516576i	$0.172794\pi$
$654$	3.45948	+	5.99200i	0.135277	+	0.234306i
$655$	−3.56718	−	3.56718i	−0.139381	−	0.139381i
$656$	−32.2310	−	8.63627i	−1.25841	−	0.337190i
$657$	1.11391	−	4.15718i	0.0434579	−	0.162187i
$658$	−2.23527	−	22.6665i	−0.0871398	−	0.883632i
$659$	−10.5833	−	18.3308i	−0.412267	−	0.714067i	0.582871	−	0.812565i	$-0.301929\pi$
$659$	−10.5833	−	18.3308i	−0.412267	−	0.714067i	−0.995137	+	0.0984983i	$0.968596\pi$
$660$	0.146822	+	0.0847679i	0.00571505	+	0.00329959i
$661$	−16.8983	+	4.52790i	−0.657270	+	0.176115i	−0.572013	−	0.820244i	$-0.693837\pi$
$661$	−16.8983	+	4.52790i	−0.657270	+	0.176115i	−0.0852561	+	0.996359i	$0.527171\pi$
$662$		−	24.8246i		−	0.964835i
$663$	−9.49454	−	0.143653i	−0.368737	−	0.00557904i
$664$			9.58557i			0.371992i
$665$	9.51411	+	4.30938i	0.368941	+	0.167110i
$666$	0.477073	−	0.826314i	0.0184862	−	0.0320190i
$667$	3.31516	−	1.91401i	0.128364	−	0.0741107i
$668$	−0.460116	+	0.460116i	−0.0178024	+	0.0178024i
$669$	−5.00651	+	18.6845i	−0.193563	+	0.722386i
$670$	1.24377	−	4.64181i	0.0480510	−	0.179329i
$671$	−57.3897	−	57.3897i	−2.21551	−	2.21551i
$672$	0.643361	+	0.106138i	0.0248182	+	0.00409437i
$673$	21.4934	+	12.4092i	0.828511	+	0.478341i	0.853343	−	0.521351i	$-0.174572\pi$
$673$	21.4934	+	12.4092i	0.828511	+	0.478341i	−0.0248316	+	0.999692i	$0.507905\pi$
$674$	4.05498	+	15.1334i	0.156192	+	0.582917i
$675$	4.47512			0.172248
$676$	−0.498927	+	0.268267i	−0.0191895	+	0.0103180i
$677$		−	18.0191i		−	0.692531i	−0.938137	−	0.346266i	$-0.887450\pi$
$677$		−	18.0191i		−	0.692531i	0.938137	−	0.346266i	$-0.112550\pi$
$678$	5.02036	+	18.7362i	0.192806	+	0.719561i
$679$	−15.1865	−	40.3345i	−0.582803	−	1.54789i
$680$	−4.62135	+	2.66814i	−0.177221	+	0.102318i
$681$	8.46655	+	8.46655i	0.324439	+	0.324439i
$682$	−65.3061	−	17.4987i	−2.50070	−	0.670060i
$683$	−31.7978	−	8.52018i	−1.21671	−	0.326016i	−0.407317	−	0.913287i	$-0.633536\pi$
$683$	−31.7978	−	8.52018i	−1.21671	−	0.326016i	−0.809390	+	0.587271i	$0.800202\pi$
$684$	0.167894	+	0.167894i	0.00641961	+	0.00641961i
$685$	0.642945	−	0.371205i	0.0245657	−	0.0141830i
$686$	−22.4778	+	13.9891i	−0.858207	+	0.534106i
$687$	−0.276545	−	1.03208i	−0.0105509	−	0.0393764i
$688$			19.3567i			0.737968i
$689$	0.0153875	−	1.01701i	0.000586218	−	0.0387451i
$690$	−6.59220			−0.250961
$691$	−4.58957	−	17.1285i	−0.174595	−	0.651599i	−0.996620	−	0.0821472i	$-0.973822\pi$
$691$	−4.58957	−	17.1285i	−0.174595	−	0.651599i	0.822025	−	0.569452i	$-0.192844\pi$
$692$	−0.476275	−	0.274977i	−0.0181053	−	0.0104531i
$693$	14.0189	+	2.31276i	0.532533	+	0.0878543i
$694$	2.12145	+	2.12145i	0.0805291	+	0.0805291i
$695$	−2.93771	+	10.9637i	−0.111434	+	0.415876i
$696$	−0.435333	+	1.62469i	−0.0165013	+	0.0615836i
$697$	−15.2107	+	15.2107i	−0.576145	+	0.576145i
$698$	−5.55437	+	3.20682i	−0.210236	+	0.121380i
$699$	−8.13097	+	14.0833i	−0.307541	+	0.532677i
$700$	0.212871	−	0.469970i	0.00804577	−	0.0177632i
$701$		−	41.2421i		−	1.55769i	−0.627214	−	0.778847i	$-0.715805\pi$
$701$		−	41.2421i		−	1.55769i	0.627214	−	0.778847i	$-0.284195\pi$
$702$	4.99825	−	1.25855i	0.188647	−	0.0475010i
$703$			3.63691i			0.137169i
$704$	40.5550	−	10.8667i	1.52848	−	0.409554i
$705$	−3.77834	−	2.18142i	−0.142300	−	0.0821572i
$706$	9.96545	+	17.2607i	0.375054	+	0.649613i
$707$	44.2162	−	4.36040i	1.66292	−	0.163990i
$708$	−0.0530266	+	0.197898i	−0.00199286	+	0.00743745i
$709$	−23.1654	−	6.20716i	−0.869996	−	0.233115i	−0.203910	−	0.978990i	$-0.565365\pi$
$709$	−23.1654	−	6.20716i	−0.869996	−	0.233115i	−0.666086	+	0.745875i	$0.732032\pi$
$710$	−11.6348	−	11.6348i	−0.436647	−	0.436647i
$711$	2.38573	+	4.13221i	0.0894720	+	0.154970i
$712$	8.33842	−	14.4426i	0.312495	−	0.541258i
$713$	54.1465	−	14.5085i	2.02780	−	0.543348i
$714$	6.31815	−	7.70061i	0.236451	−	0.288188i
$715$	−7.19697	+	12.0411i	−0.269151	+	0.450311i
$716$	−0.475751			−0.0177796
$717$	−5.55607	−	20.7355i	−0.207495	−	0.774383i
$718$	−14.7357	+	25.5229i	−0.549930	+	0.952507i
$719$	10.7383	+	18.5992i	0.400469	+	0.693633i	0.993783	−	0.111338i	$-0.0355137\pi$
$719$	10.7383	+	18.5992i	0.400469	+	0.693633i	−0.593313	+	0.804972i	$0.702180\pi$
$720$	2.09282	−	2.09282i	0.0779948	−	0.0779948i
$721$	1.48348	+	2.06966i	0.0552478	+	0.0770783i
$722$	−14.7625	−	3.95561i	−0.549404	−	0.147212i
$723$	−9.05329	+	9.05329i	−0.336696	+	0.336696i
$724$	0.224198	−	0.129441i	0.00833226	−	0.00481063i
$725$	2.33079	+	1.34568i	0.0865633	+	0.0499774i
$726$	−24.6334	+	6.60051i	−0.914232	+	0.244968i
$727$	16.2550			0.602863			0.301431	−	0.953488i	$-0.402536\pi$
$727$	16.2550			0.602863			0.301431	+	0.953488i	$0.402536\pi$
$728$	−4.74049	+	26.2551i	−0.175694	+	0.973077i
$729$	−1.00000			−0.0370370
$730$	−4.30549	+	1.15365i	−0.159353	+	0.0426986i
$731$	10.8068	+	6.23928i	0.399702	+	0.230768i
$732$	0.570326	−	0.329278i	0.0210799	−	0.0121705i
$733$	−37.7313	+	37.7313i	−1.39364	+	1.39364i	−0.576637	+	0.817001i	$0.695635\pi$
$733$	−37.7313	+	37.7313i	−1.39364	+	1.39364i	−0.817001	+	0.576637i	$0.804365\pi$
$734$	9.77547	+	2.61933i	0.360819	+	0.0966812i
$735$	−0.330441	+	5.06061i	−0.0121885	+	0.186663i
$736$	1.10925	−	1.10925i	0.0408874	−	0.0408874i
$737$	12.4591	+	21.5797i	0.458935	+	0.794899i
$738$	5.83817	−	10.1120i	0.214906	−	0.372228i
$739$	−11.5735	−	43.1929i	−0.425738	−	1.58888i	−0.762305	−	0.647218i	$-0.775932\pi$
$739$	−11.5735	−	43.1929i	−0.425738	−	1.58888i	0.336567	−	0.941660i	$-0.390734\pi$
$740$	−0.0210711			−0.000774587
$741$	−14.1007	+	13.6804i	−0.518003	+	0.502562i
$742$	0.824856	+	0.676772i	0.0302814	+	0.0248451i
$743$	−43.8408	+	11.7471i	−1.60836	+	0.430959i	−0.947554	−	0.319596i	$-0.896453\pi$
$743$	−43.8408	+	11.7471i	−1.60836	+	0.430959i	−0.660808	+	0.750555i	$0.729786\pi$
$744$	−12.3154	+	21.3309i	−0.451504	+	0.782028i
$745$	4.27758	+	7.40899i	0.156718	+	0.271444i
$746$	17.4241	+	17.4241i	0.637941	+	0.637941i
$747$	−3.31057	−	0.887065i	−0.121128	−	0.0324560i
$748$	−0.159508	+	0.595290i	−0.00583217	+	0.0217660i
$749$	31.4221	−	3.09870i	1.14814	−	0.113224i
$750$	−4.90658	−	8.49844i	−0.179163	−	0.310319i
$751$	27.9904	+	16.1603i	1.02138	+	0.589696i	0.914505	−	0.404575i	$-0.132581\pi$
$751$	27.9904	+	16.1603i	1.02138	+	0.589696i	0.106880	+	0.994272i	$0.465914\pi$
$752$	23.7632	−	6.36732i	0.866554	−	0.232192i
$753$		−	7.23944i		−	0.263820i
$754$	2.98170	+	0.847494i	0.108587	+	0.0308639i
$755$		−	8.70994i		−	0.316987i
$756$	−0.0475676	+	0.105018i	−0.00173002	+	0.00381948i
$757$	−14.5363	+	25.1776i	−0.528331	+	0.915097i	0.471123	+	0.882068i	$0.343849\pi$
$757$	−14.5363	+	25.1776i	−0.528331	+	0.915097i	−0.999454	+	0.0330294i	$0.989484\pi$
$758$	−5.60015	+	3.23325i	−0.203407	+	0.117437i
$759$	24.1705	−	24.1705i	0.877335	−	0.877335i
$760$	−2.85756	+	10.6646i	−0.103655	+	0.386845i
$761$	7.58218	−	28.2971i	0.274854	−	1.02577i	−0.681086	−	0.732204i	$-0.738492\pi$
$761$	7.58218	−	28.2971i	0.274854	−	1.02577i	0.955939	−	0.293564i	$-0.0948414\pi$
$762$	13.2542	+	13.2542i	0.480149	+	0.480149i
$763$	2.08440	−	12.6347i	0.0754603	−	0.457406i
$764$	−0.0607685	−	0.0350847i	−0.00219853	−	0.00126932i
$765$	−0.493829	−	1.84299i	−0.0178544	−	0.0666336i
$766$	40.9907			1.48105
$767$	−16.3065	−	4.63482i	−0.588793	−	0.167354i
$768$			1.04531i			0.0377194i
$769$	13.2029	+	49.2739i	0.476109	+	1.77686i	0.617136	+	0.786857i	$0.288293\pi$
$769$	13.2029	+	49.2739i	0.476109	+	1.77686i	−0.141027	+	0.990006i	$0.545040\pi$
$770$	−5.18514	−	13.7714i	−0.186859	−	0.496289i
$771$	−3.29597	+	1.90293i	−0.118701	+	0.0685323i
$772$	−0.757877	−	0.757877i	−0.0272766	−	0.0272766i
$773$	−7.92985	−	2.12480i	−0.285217	−	0.0764236i	0.113374	−	0.993552i	$-0.463834\pi$
$773$	−7.92985	−	2.12480i	−0.285217	−	0.0764236i	−0.398591	+	0.917129i	$0.630501\pi$
$774$	−6.54263	−	1.75309i	−0.235170	−	0.0630136i
$775$	27.8683	+	27.8683i	1.00106	+	1.00106i
$776$	39.4552	−	22.7795i	1.41636	−	0.817735i
$777$	−1.65265	+	0.622245i	−0.0592884	+	0.0223229i
$778$	−2.38565	−	8.90337i	−0.0855298	−	0.319201i
$779$			44.5066i			1.59461i
$780$	−0.0792597	−	0.0816950i	−0.00283795	−	0.00292515i
$781$	85.3190			3.05295
$782$	−6.20226	−	23.1471i	−0.221792	−	0.827740i
$783$	−0.520832	−	0.300703i	−0.0186130	−	0.0107462i
$784$	−18.8604	−	21.4956i	−0.673587	−	0.767698i
$785$	0.321552	+	0.321552i	0.0114767	+	0.0114767i
$786$	−2.57634	+	9.61504i	−0.0918951	+	0.342957i
$787$	−0.450270	+	1.68043i	−0.0160504	+	0.0599009i	−0.973487	−	0.228744i	$-0.926538\pi$
$787$	−0.450270	+	1.68043i	−0.0160504	+	0.0599009i	0.957436	+	0.288645i	$0.0932047\pi$
$788$	−0.152210	+	0.152210i	−0.00542225	+	0.00542225i
$789$	−3.49263	+	2.01647i	−0.124341	+	0.0717883i
$790$	2.47085	−	4.27963i	0.0879088	−	0.152262i
$791$	14.8121	−	32.7017i	0.526658	−	1.16274i
$792$			15.0194i			0.533692i
$793$	26.5285	+	47.5975i	0.942056	+	1.69024i
$794$		−	42.5614i		−	1.51045i
$795$	0.197413	−	0.0528968i	0.00700153	−	0.00187606i
$796$	0.174244	+	0.100600i	0.00617592	+	0.00356567i
$797$	0.464274	+	0.804146i	0.0164454	+	0.0284843i	0.874131	−	0.485690i	$-0.161432\pi$
$797$	0.464274	+	0.804146i	0.0164454	+	0.0284843i	−0.857686	+	0.514175i	$0.828098\pi$
$798$	−2.02256	−	20.5095i	−0.0715977	−	0.726030i
$799$	4.10478	−	15.3192i	0.145217	−	0.541956i
$800$	1.06533	+	0.285455i	0.0376652	+	0.0100924i
$801$	4.21638	+	4.21638i	0.148979	+	0.148979i
$802$	16.2822	+	28.2016i	0.574944	+	0.995832i
$803$	11.5563	−	20.0162i	0.407814	−	0.706355i
$804$	−0.195300	+	0.0523305i	−0.00688770	+	0.00184555i
$805$	9.43220	+	7.73887i	0.332442	+	0.272759i
$806$	38.9634	+	23.2885i	1.37243	+	0.820303i
$807$	6.96741			0.245264
$808$	12.1560	+	45.3666i	0.427645	+	1.59599i
$809$	−27.3761	+	47.4168i	−0.962492	+	1.66709i	−0.246286	+	0.969197i	$0.579210\pi$
$809$	−27.3761	+	47.4168i	−0.962492	+	1.66709i	−0.716207	+	0.697888i	$0.754123\pi$
$810$	0.517838	+	0.896921i	0.0181950	+	0.0315146i
$811$	−15.2089	+	15.2089i	−0.534055	+	0.534055i	−0.921777	−	0.387721i	$-0.873262\pi$
$811$	−15.2089	+	15.2089i	−0.534055	+	0.534055i	0.387721	+	0.921777i	$0.373262\pi$
$812$	−0.0563541	+	0.0403932i	−0.00197764	+	0.00141752i
$813$	8.12317	+	2.17660i	0.284892	+	0.0763366i
$814$	3.62322	−	3.62322i	0.126994	−	0.126994i
$815$	−7.94143	+	4.58499i	−0.278176	+	0.160605i
$816$	9.31754	+	5.37948i	0.326179	+	0.188320i
$817$	24.9385	−	6.68224i	0.872487	−	0.233782i
$818$	−3.49748			−0.122287
$819$	−8.62903	−	4.06692i	−0.301523	−	0.142110i
$820$	−0.257857			−0.00900474
$821$	−25.5931	+	6.85765i	−0.893206	+	0.239334i	−0.676096	−	0.736814i	$-0.736330\pi$
$821$	−25.5931	+	6.85765i	−0.893206	+	0.239334i	−0.217110	+	0.976147i	$0.569663\pi$
$822$	−1.26865	−	0.732454i	−0.0442492	−	0.0255473i
$823$	34.5953	−	19.9736i	1.20592	−	0.696237i	0.244053	−	0.969762i	$-0.421523\pi$
$823$	34.5953	−	19.9736i	1.20592	−	0.696237i	0.961865	+	0.273525i	$0.0881897\pi$
$824$	−1.90337	+	1.90337i	−0.0663071	+	0.0663071i
$825$	23.2137	+	6.22008i	0.808196	+	0.216555i
$826$	14.4535	−	10.3599i	0.502902	−	0.360468i
$827$	−16.8364	+	16.8364i	−0.585458	+	0.585458i	−0.936398	−	0.350940i	$-0.885862\pi$
$827$	−16.8364	+	16.8364i	−0.585458	+	0.585458i	0.350940	+	0.936398i	$0.385862\pi$
$828$	0.138680	+	0.240202i	0.00481948	+	0.00834758i
$829$	−1.41086	+	2.44368i	−0.0490011	+	0.0848724i	−0.889486	−	0.456963i	$-0.848937\pi$
$829$	−1.41086	+	2.44368i	−0.0490011	+	0.0848724i	0.840485	+	0.541836i	$0.182270\pi$
$830$	0.918712	+	3.42868i	0.0318890	+	0.119011i
$831$	9.63277			0.334157
$832$	−28.1856	−	0.426452i	−0.977162	−	0.0147846i
$833$	−18.0802	+	3.60099i	−0.626441	+	0.124767i
$834$	21.6333	−	5.79663i	0.749100	−	0.200721i
$835$	5.40932	−	9.36922i	0.187197	−	0.324235i
$836$	0.637553	+	1.10427i	0.0220502	+	0.0381921i
$837$	−6.22737	−	6.22737i	−0.215249	−	0.215249i
$838$	26.9703	+	7.22666i	0.931672	+	0.249641i
$839$	3.56318	−	13.2980i	0.123015	−	0.459097i	−0.876746	−	0.480953i	$-0.840291\pi$
$839$	3.56318	−	13.2980i	0.123015	−	0.459097i	0.999761	+	0.0218557i	$0.00695742\pi$
$840$	−5.33500	+	0.526113i	−0.184075	+	0.0181526i
$841$	14.3192	+	24.8015i	0.493764	+	0.855224i
$842$	−26.0101	−	15.0169i	−0.896367	−	0.517517i
$843$	13.4114	−	3.59357i	0.461913	−	0.123769i
$844$			0.295511i			0.0101719i
$845$	6.85816	−	6.45520i	0.235928	−	0.222066i
$846$			8.60869i			0.295973i
$847$	42.9945	+	19.4742i	1.47731	+	0.669140i
$848$	−0.576227	+	0.998054i	−0.0197877	+	0.0342733i
$849$	1.58734	−	0.916453i	0.0544775	−	0.0314526i
$850$	11.9134	−	11.9134i	0.408628	−	0.408628i
$851$	−1.09957	+	4.10365i	−0.0376927	+	0.140671i
$852$	−0.179178	+	0.668703i	−0.00613855	+	0.0229094i
$853$	−23.8704	−	23.8704i	−0.817307	−	0.817307i	0.168410	−	0.985717i	$-0.446137\pi$
$853$	−23.8704	−	23.8704i	−0.817307	−	0.817307i	−0.985717	+	0.168410i	$0.946137\pi$
$854$	−56.3985	−	9.30432i	−1.92992	−	0.318387i
$855$	−3.41879	−	1.97384i	−0.116920	−	0.0675038i
$856$	8.63859	+	32.2396i	0.295261	+	1.10193i
$857$	10.9745			0.374882			0.187441	−	0.982276i	$-0.439981\pi$
$857$	10.9745			0.374882			0.187441	+	0.982276i	$0.439981\pi$
$858$	27.6766	+	0.418750i	0.944862	+	0.0142959i
$859$			29.4072i			1.00336i	0.865053	+	0.501681i	$0.167285\pi$
$859$			29.4072i			1.00336i	−0.865053	+	0.501681i	$0.832715\pi$
$860$	0.0387147	+	0.144485i	0.00132016	+	0.00492691i
$861$	−20.2243	+	7.61471i	−0.689241	+	0.259508i
$862$	−17.7795	+	10.2650i	−0.605572	+	0.349627i
$863$	−16.1604	−	16.1604i	−0.550105	−	0.550105i	0.376366	−	0.926471i	$-0.377173\pi$
$863$	−16.1604	−	16.1604i	−0.550105	−	0.550105i	−0.926471	+	0.376366i	$0.877173\pi$
$864$	−0.238057	−	0.0637871i	−0.00809885	−	0.00217008i
$865$	8.83204	+	2.36654i	0.300298	+	0.0804647i
$866$	36.8152	+	36.8152i	1.25103	+	1.25103i
$867$	−8.71576	+	5.03204i	−0.296003	+	0.170897i
$868$	−0.950209	+	0.357767i	−0.0322522	+	0.0121434i
$869$	6.63198	+	24.7509i	0.224974	+	0.839616i
$870$			0.622861i			0.0211170i
$871$	−4.08503	−	16.2234i	−0.138416	−	0.549710i
$872$	13.5364			0.458402
$873$	4.21610	+	15.7347i	0.142693	+	0.532539i
$874$	−42.9384	−	24.7905i	−1.45241	−	0.838550i
$875$	−2.95630	+	17.9197i	−0.0999411	+	0.605797i
$876$	0.132611	+	0.132611i	0.00448050	+	0.00448050i
$877$	−10.5333	+	39.3110i	−0.355686	+	1.32744i	0.523934	+	0.851759i	$0.324464\pi$
$877$	−10.5333	+	39.3110i	−0.355686	+	1.32744i	−0.879620	+	0.475678i	$0.842203\pi$
$878$	−11.8494	+	44.2224i	−0.399896	+	1.49243i
$879$	19.5941	−	19.5941i	0.660893	−	0.660893i
$880$	13.7649	−	7.94716i	0.464014	−	0.267899i
$881$	11.2270	−	19.4458i	0.378248	−	0.655145i	−0.612559	−	0.790425i	$-0.709860\pi$
$881$	11.2270	−	19.4458i	0.378248	−	0.655145i	0.990807	+	0.135280i	$0.0431933\pi$
$882$	8.97370	−	4.42808i	0.302160	−	0.149101i
$883$			0.128296i			0.00431752i	0.999998	+	0.00215876i	$0.000687155\pi$
$883$			0.128296i			0.00431752i	−0.999998	+	0.00215876i	$0.999313\pi$
$884$	0.212284	−	0.355167i	0.00713987	−	0.0119456i
$885$		−	3.40633i		−	0.114503i
$886$	−18.5374	+	4.96708i	−0.622776	+	0.166872i
$887$	−7.73247	−	4.46434i	−0.259631	−	0.149898i	0.364535	−	0.931190i	$-0.381228\pi$
$887$	−7.73247	−	4.46434i	−0.259631	−	0.149898i	−0.624166	+	0.781292i	$0.714561\pi$
$888$	−0.933357	−	1.61662i	−0.0313214	−	0.0542503i
$889$	−3.40459	−	34.5240i	−0.114186	−	1.15790i
$890$	1.59836	−	5.96517i	0.0535772	−	0.199953i
$891$	−5.18727	−	1.38992i	−0.173780	−	0.0465642i
$892$	−0.596022	−	0.596022i	−0.0199563	−	0.0199563i
$893$	−16.4068	−	28.4175i	−0.549034	−	0.950954i
$894$	8.44044	−	14.6193i	0.282291	−	0.488942i
$895$	7.64035	−	2.04722i	0.255389	−	0.0684312i
$896$	19.5834	−	23.8684i	0.654234	−	0.797386i
$897$	−20.0464	+	11.1729i	−0.669330	+	0.373052i
$898$	−27.5104			−0.918035
$899$	−1.37083	−	5.11600i	−0.0457197	−	0.170628i
$900$	−0.0975020	+	0.168878i	−0.00325007	+	0.00562928i
$901$	0.371472	+	0.643409i	0.0123755	+	0.0214350i
$902$	44.3391	−	44.3391i	1.47633	−	1.47633i
$903$	7.30324	+	10.1890i	0.243037	+	0.339069i
$904$	36.6561	+	9.82196i	1.21916	+	0.326674i
$905$	−3.04352	+	3.04352i	−0.101170	+	0.101170i
$906$	−14.8838	+	8.59314i	−0.494480	+	0.285488i
$907$	−29.2036	−	16.8607i	−0.969690	−	0.559851i	−0.0705480	−	0.997508i	$-0.522475\pi$
$907$	−29.2036	−	16.8607i	−0.969690	−	0.559851i	−0.899142	+	0.437658i	$0.855808\pi$
$908$	−0.503969	+	0.135038i	−0.0167248	+	0.00448139i
$909$	−16.7932			−0.556996
$910$	0.820735	+	9.84556i	0.0272071	+	0.326377i
$911$	12.1553			0.402724			0.201362	−	0.979517i	$-0.435463\pi$
$911$	12.1553			0.402724			0.201362	+	0.979517i	$0.435463\pi$
$912$	21.5018	−	5.76140i	0.711997	−	0.190779i
$913$	−15.9399	−	9.20289i	−0.527533	−	0.304571i
$914$	−31.4059	+	18.1322i	−1.03882	+	0.599760i
$915$	−7.74226	+	7.74226i	−0.255951	+	0.255951i
$916$	0.0449731	+	0.0120505i	0.00148595	+	0.000398160i
$917$	14.9738	−	10.7328i	0.494478	−	0.354430i
$918$	−2.66215	+	2.66215i	−0.0878639	+	0.0878639i
$919$	27.1965	+	47.1057i	0.897129	+	1.55387i	0.831148	+	0.556052i	$0.187684\pi$
$919$	27.1965	+	47.1057i	0.897129	+	1.55387i	0.0659808	+	0.997821i	$0.478982\pi$
$920$	−6.44857	+	11.1693i	−0.212603	+	0.368239i
$921$	6.11597	+	22.8251i	0.201528	+	0.752113i
$922$	−34.3355			−1.13078
$923$	−55.1001	−	15.6612i	−1.81364	−	0.515494i
$924$	−0.392714	+	0.478643i	−0.0129193	+	0.0157462i
$925$	−2.88515	+	0.773073i	−0.0948631	+	0.0254185i
$926$	−1.98617	+	3.44016i	−0.0652698	+	0.113051i
$927$	−0.481227	−	0.833510i	−0.0158056	−	0.0273761i
$928$	−0.104807	−	0.104807i	−0.00344045	−	0.00344045i
$929$	−11.3587	−	3.04356i	−0.372667	−	0.0998559i	0.0676240	−	0.997711i	$-0.478458\pi$
$929$	−11.3587	−	3.04356i	−0.372667	−	0.0998559i	−0.440291	+	0.897855i	$0.645125\pi$
$930$	−2.36069	+	8.81023i	−0.0774102	+	0.288899i
$931$	−21.1831	+	31.7197i	−0.694249	+	1.03957i
$932$	−0.354308	−	0.613679i	−0.0116057	−	0.0201017i
$933$	−1.63454	−	0.943701i	−0.0535124	−	0.0308954i
$934$	1.46019	−	0.391257i	0.0477789	−	0.0128023i
$935$		−	10.2465i		−	0.335096i
$936$	2.75697	−	9.69974i	0.0901144	−	0.317046i
$937$			23.7187i			0.774857i	0.921900	+	0.387428i	$0.126637\pi$
$937$			23.7187i			0.774857i	−0.921900	+	0.387428i	$0.873363\pi$
$938$	15.9861	+	7.24083i	0.521964	+	0.236422i
$939$	−2.36986	+	4.10472i	−0.0773375	+	0.133953i
$940$	0.164641	−	0.0950558i	0.00537001	−	0.00310038i
$941$	8.77975	−	8.77975i	0.286212	−	0.286212i	−0.549368	−	0.835580i	$-0.685132\pi$
$941$	8.77975	−	8.77975i	0.286212	−	0.286212i	0.835580	+	0.549368i	$0.185132\pi$
$942$	0.232236	−	0.866715i	0.00756665	−	0.0282391i
$943$	−13.4559	+	50.2183i	−0.438186	+	1.63533i
$944$	13.5820	+	13.5820i	0.442055	+	0.442055i
$945$	0.312006	−	1.89124i	0.0101496	−	0.0615220i
$946$	−31.5017	−	18.1875i	−1.02421	−	0.591327i
$947$	−3.45357	−	12.8889i	−0.112226	−	0.418833i	0.886838	−	0.462080i	$-0.152897\pi$
$947$	−3.45357	−	12.8889i	−0.112226	−	0.418833i	−0.999064	+	0.0432464i	$0.986230\pi$
$948$	−0.207917			−0.00675284
$949$	−11.1374	+	10.8054i	−0.361535	+	0.350758i
$950$		−	34.8589i		−	1.13097i
$951$	−4.40475	−	16.4388i	−0.142834	−	0.533063i
$952$	−6.86676	−	18.2378i	−0.222553	−	0.591089i
$953$	2.94104	−	1.69801i	0.0952697	−	0.0550040i	−0.451608	−	0.892216i	$-0.649150\pi$
$953$	2.94104	−	1.69801i	0.0952697	−	0.0550040i	0.546878	+	0.837212i	$0.315816\pi$
$954$	−0.285158	−	0.285158i	−0.00923232	−	0.00923232i
$955$	1.12689	+	0.301949i	0.0364653	+	0.00977085i
$956$	0.903553	+	0.242106i	0.0292230	+	0.00783028i
$957$	−2.28374	−	2.28374i	−0.0738229	−	0.0738229i
$958$	−6.24537	+	3.60577i	−0.201779	+	0.116497i
$959$	0.955338	+	2.53733i	0.0308495	+	0.0819345i
$960$	−1.46599	−	5.47114i	−0.0473146	−	0.176580i
$961$		−	46.5603i		−	1.50195i
$962$	−3.00500	+	1.67484i	−0.0968851	+	0.0539991i
$963$	−11.9341			−0.384569
$964$	−0.144396	−	0.538894i	−0.00465069	−	0.0173566i
$965$	15.4324	+	8.90992i	0.496788	+	0.286820i
$966$	3.91865	−	23.7531i	0.126081	−	0.764243i
$967$	−32.6551	−	32.6551i	−1.05012	−	1.05012i	−0.998676	−	0.0514398i	$-0.983619\pi$
$967$	−32.6551	−	32.6551i	−1.05012	−	1.05012i	−0.0514398	−	0.998676i	$-0.516381\pi$
$968$	−12.9134	+	48.1935i	−0.415052	+	1.54900i
$969$	3.71416	−	13.8614i	0.119316	−	0.445294i
$970$	11.9295	−	11.9295i	0.383034	−	0.383034i
$971$	8.75213	−	5.05305i	0.280869	−	0.162160i	−0.352948	−	0.935643i	$-0.614821\pi$
$971$	8.75213	−	5.05305i	0.280869	−	0.162160i	0.633817	+	0.773483i	$0.281487\pi$
$972$	0.0217876	−	0.0377371i	0.000698836	−	0.00121042i
$973$	−37.7581	−	17.1024i	−1.21047	−	0.548278i
$974$			4.00629i			0.128370i
$975$	−13.8499	−	8.27812i	−0.443552	−	0.265112i
$976$		−	61.7409i		−	1.97628i
$977$	57.0790	−	15.2943i	1.82612	−	0.489307i	0.828608	−	0.559829i	$-0.189133\pi$
$977$	57.0790	−	15.2943i	1.82612	−	0.489307i	0.997510	+	0.0705222i	$0.0224666\pi$
$978$	15.6699	+	9.04701i	0.501068	+	0.289292i
$979$	16.0111	+	27.7320i	0.511716	+	0.886317i
$980$	−0.183773	−	0.122728i	−0.00587042	−	0.00392041i
$981$	−1.25269	+	4.67509i	−0.0399952	+	0.149264i
$982$	17.1845	+	4.60458i	0.548380	+	0.146938i
$983$	−32.3474	−	32.3474i	−1.03172	−	1.03172i	−0.999480	−	0.0322405i	$-0.989736\pi$
$983$	−32.3474	−	32.3474i	−1.03172	−	1.03172i	−0.0322405	−	0.999480i	$-0.510264\pi$
$984$	−11.4219	−	19.7834i	−0.364118	−	0.630671i
$985$	1.78944	−	3.09940i	0.0570164	−	0.0987552i
$986$	−2.18705	+	0.586018i	−0.0696498	+	0.0186626i
$987$	10.1061	−	12.3174i	0.321681	−	0.392068i
$988$	−0.209039	−	0.830184i	−0.00665041	−	0.0264117i
$989$	30.1592			0.959007
$990$	1.43951	+	5.37233i	0.0457506	+	0.170744i
$991$	−1.26677	+	2.19411i	−0.0402402	+	0.0696981i	−0.885444	−	0.464746i	$-0.846146\pi$
$991$	−1.26677	+	2.19411i	−0.0402402	+	0.0696981i	0.845204	+	0.534444i	$0.179479\pi$
$992$	−1.08524	−	1.87969i	−0.0344565	−	0.0596803i
$993$	12.2792	−	12.2792i	0.389670	−	0.389670i
$994$	48.8389	−	35.0065i	1.54907	−	1.11034i
$995$	−3.23118	−	0.865793i	−0.102435	−	0.0274475i
$996$	0.105605	−	0.105605i	0.00334621	−	0.00334621i
$997$	10.4694	−	6.04452i	0.331570	−	0.191432i	−0.324968	−	0.945725i	$-0.605354\pi$
$997$	10.4694	−	6.04452i	0.331570	−	0.191432i	0.656538	+	0.754293i	$0.272020\pi$
$998$	10.9250	+	6.30755i	0.345825	+	0.199662i
$999$	0.644708	−	0.172749i	0.0203977	−	0.00546554i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.by.c.202.3	✓	32
3.2	odd	2		819.2.fm.f.748.6		32
7.6	odd	2		273.2.by.d.202.3	yes	32
13.2	odd	12		273.2.by.d.223.3	yes	32
21.20	even	2		819.2.fm.e.748.6		32
39.2	even	12		819.2.fm.e.496.6		32
91.41	even	12	inner	273.2.by.c.223.3	yes	32
273.41	odd	12		819.2.fm.f.496.6		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.202.3	✓	32	1.1	even	1	trivial
273.2.by.c.223.3	yes	32	91.41	even	12	inner
273.2.by.d.202.3	yes	32	7.6	odd	2
273.2.by.d.223.3	yes	32	13.2	odd	12
819.2.fm.e.496.6		32	39.2	even	12
819.2.fm.e.748.6		32	21.20	even	2
819.2.fm.f.496.6		32	273.41	odd	12
819.2.fm.f.748.6		32	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.38083 + 0.369991i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(0.0377371 - 0.0217876i) q^{4} +(-0.512287 + 0.512287i) q^{5} +(1.38083 + 0.369991i) q^{6} +(-1.54136 - 2.15040i) q^{7} +(1.97762 - 1.97762i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-1.38083 + 0.369991i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(0.0377371 - 0.0217876i) q^{4} +(-0.512287 + 0.512287i) q^{5} +(1.38083 + 0.369991i) q^{6} +(-1.54136 - 2.15040i) q^{7} +(1.97762 - 1.97762i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.517838 - 0.896921i) q^{10} +(1.38992 + 5.18727i) q^{11} -0.0435751 q^{12} +(0.0545462 - 3.60514i) q^{13} +(2.92397 + 2.39904i) q^{14} +(0.699797 - 0.187510i) q^{15} +(-2.04263 + 3.53793i) q^{16} +(1.31681 + 2.28077i) q^{17} +(-1.01084 - 1.01084i) q^{18} +(5.26328 + 1.41029i) q^{19} +(-0.00817077 + 0.0304937i) q^{20} +(0.259652 + 2.63298i) q^{21} +(-3.83849 - 6.64846i) q^{22} +(5.51236 + 3.18256i) q^{23} +(-2.70148 + 0.723860i) q^{24} +4.47512i q^{25} +(1.25855 + 4.99825i) q^{26} -1.00000i q^{27} +(-0.105018 - 0.0475676i) q^{28} +(0.300703 - 0.520832i) q^{29} +(-0.896921 + 0.517838i) q^{30} +(6.22737 - 6.22737i) q^{31} +(0.0637871 - 0.238057i) q^{32} +(1.38992 - 5.18727i) q^{33} +(-2.66215 - 2.66215i) q^{34} +(1.89124 + 0.312006i) q^{35} +(0.0377371 + 0.0217876i) q^{36} +(0.172749 + 0.644708i) q^{37} -7.78948 q^{38} +(-1.84981 + 3.09487i) q^{39} +2.02622i q^{40} +(2.11401 + 7.88960i) q^{41} +(-1.33271 - 3.53962i) q^{42} +(4.10340 - 2.36910i) q^{43} +(0.165470 + 0.165470i) q^{44} +(-0.699797 - 0.187510i) q^{45} +(-8.78913 - 2.35504i) q^{46} +(-4.25821 - 4.25821i) q^{47} +(3.53793 - 2.04263i) q^{48} +(-2.24845 + 6.62906i) q^{49} +(-1.65576 - 6.17937i) q^{50} -2.63361i q^{51} +(-0.0764887 - 0.137236i) q^{52} +0.282101 q^{53} +(0.369991 + 1.38083i) q^{54} +(-3.36941 - 1.94533i) q^{55} +(-7.30090 - 1.20446i) q^{56} +(-3.85299 - 3.85299i) q^{57} +(-0.222515 + 0.830436i) q^{58} +(1.21690 - 4.54153i) q^{59} +(0.0223230 - 0.0223230i) q^{60} +(-13.0884 + 7.55656i) q^{61} +(-6.29485 + 10.9030i) q^{62} +(1.09162 - 2.41005i) q^{63} -7.81819i q^{64} +(1.81892 + 1.87481i) q^{65} +7.67698i q^{66} +(4.48192 - 1.20093i) q^{67} +(0.0993850 + 0.0573799i) q^{68} +(-3.18256 - 5.51236i) q^{69} +(-2.72691 + 0.268916i) q^{70} +(4.11194 - 15.3460i) q^{71} +(2.70148 + 0.723860i) q^{72} +(-3.04327 - 3.04327i) q^{73} +(-0.477073 - 0.826314i) q^{74} +(2.23756 - 3.87557i) q^{75} +(0.229348 - 0.0614536i) q^{76} +(9.01234 - 10.9843i) q^{77} +(1.40919 - 4.95789i) q^{78} +4.77147 q^{79} +(-0.766026 - 2.85885i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-5.83817 - 10.1120i) q^{82} +(-2.42351 + 2.42351i) q^{83} +(0.0671647 + 0.0937039i) q^{84} +(-1.84299 - 0.493829i) q^{85} +(-4.78954 + 4.78954i) q^{86} +(-0.520832 + 0.300703i) q^{87} +(13.0072 + 7.50971i) q^{88} +(5.75969 - 1.54330i) q^{89} +1.03568 q^{90} +(-7.83657 + 5.43950i) q^{91} +0.277361 q^{92} +(-8.50675 + 2.27938i) q^{93} +(7.45535 + 4.30435i) q^{94} +(-3.41879 + 1.97384i) q^{95} +(-0.174270 + 0.174270i) q^{96} +(15.7347 + 4.21610i) q^{97} +(0.652020 - 9.98549i) q^{98} +(-3.79734 + 3.79734i) 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	\( 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9} - 2 q^{10} - 4 q^{11} - 32 q^{12} - 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} + 8 q^{17} + 2 q^{18} - 2 q^{19} - 44 q^{20} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 q^{70} - 4 q^{71} + 4 q^{72} - 12 q^{73} - 18 q^{74} - 16 q^{75} + 48 q^{76} - 28 q^{77} - 14 q^{78} - 4 q^{79} + 98 q^{80} - 16 q^{81} - 20 q^{82} + 36 q^{83} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 4 q^{99}+O(q^{100}) \) 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 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * 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 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

Introduction

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