LMFDB - Embedded newform 966.2.q.i.463.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$4$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			463.1
Character	$\chi$	$=$	966.463
Dual form			966.2.q.i.169.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.142315 - 0.989821i) q^{2} +(0.415415 - 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.80470 + 2.08274i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(0.841254 - 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +O(q^{10})$	\(q+(-0.142315 - 0.989821i) q^{2} +(0.415415 - 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.80470 + 2.08274i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(0.841254 - 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +(2.31838 + 1.48993i) q^{10} +(0.272494 - 1.89524i) q^{11} +(-0.142315 + 0.989821i) q^{12} +(1.37930 + 0.886423i) q^{13} +(-0.654861 - 0.755750i) q^{14} +(1.14483 + 2.50682i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-7.48594 - 2.19807i) q^{17} +(-0.654861 + 0.755750i) q^{18} +(-7.59340 + 2.22962i) q^{19} +(1.14483 - 2.50682i) q^{20} +(-0.142315 - 0.989821i) q^{21} -1.91472 q^{22} +(4.17388 - 2.36194i) q^{23} +1.00000 q^{24} +(-0.369273 - 2.56835i) q^{25} +(0.681106 - 1.49141i) q^{26} +(-0.959493 + 0.281733i) q^{27} +(-0.654861 + 0.755750i) q^{28} +(-7.01645 - 2.06022i) q^{29} +(2.31838 - 1.48993i) q^{30} +(1.31005 + 2.86861i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-1.61077 - 1.03518i) q^{33} +(-1.11034 + 7.72256i) q^{34} +(-0.392200 + 2.72781i) q^{35} +(0.841254 + 0.540641i) q^{36} +(-0.106349 - 0.122734i) q^{37} +(3.28758 + 7.19880i) q^{38} +(1.37930 - 0.886423i) q^{39} +(-2.64423 - 0.776415i) q^{40} +(-3.47161 + 4.00645i) q^{41} +(-0.959493 + 0.281733i) q^{42} +(-4.13018 + 9.04383i) q^{43} +(0.272494 + 1.89524i) q^{44} +2.75586 q^{45} +(-2.93190 - 3.79526i) q^{46} -9.44050 q^{47} +(-0.142315 - 0.989821i) q^{48} +(0.415415 - 0.909632i) q^{49} +(-2.48965 + 0.731028i) q^{50} +(-5.10921 + 5.89634i) q^{51} +(-1.57316 - 0.461923i) q^{52} +(1.82953 - 1.17577i) q^{53} +(0.415415 + 0.909632i) q^{54} +(3.45551 + 3.98787i) q^{55} +(0.841254 + 0.540641i) q^{56} +(-1.12628 + 7.83342i) q^{57} +(-1.04070 + 7.23824i) q^{58} +(-4.44119 - 2.85418i) q^{59} +(-1.80470 - 2.08274i) q^{60} +(-2.46441 - 5.39631i) q^{61} +(2.65297 - 1.70496i) q^{62} +(-0.959493 - 0.281733i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-4.33542 + 1.27299i) q^{65} +(-0.795405 + 1.74169i) q^{66} +(-0.699783 - 4.86710i) q^{67} +7.80197 q^{68} +(-0.414601 - 4.77788i) q^{69} +2.75586 q^{70} +(1.32271 + 9.19963i) q^{71} +(0.415415 - 0.909632i) q^{72} +(7.53184 - 2.21155i) q^{73} +(-0.106349 + 0.122734i) q^{74} +(-2.48965 - 0.731028i) q^{75} +(6.65766 - 4.27862i) q^{76} +(-0.795405 - 1.74169i) q^{77} +(-1.07370 - 1.23911i) q^{78} +(4.64918 + 2.98785i) q^{79} +(-0.392200 + 2.72781i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(4.45973 + 2.86609i) q^{82} +(1.46609 + 1.69196i) q^{83} +(0.415415 + 0.909632i) q^{84} +(18.0879 - 11.6244i) q^{85} +(9.53956 + 2.80107i) q^{86} +(-4.78878 + 5.52655i) q^{87} +(1.83716 - 0.539440i) q^{88} +(-2.20509 + 4.82848i) q^{89} +(-0.392200 - 2.72781i) q^{90} +1.63958 q^{91} +(-3.33937 + 3.44218i) q^{92} +3.15359 q^{93} +(1.34352 + 9.34441i) q^{94} +(9.06012 - 19.8389i) q^{95} +(-0.959493 + 0.281733i) q^{96} +(5.16461 - 5.96028i) q^{97} +(-0.959493 - 0.281733i) q^{98} +(-1.61077 + 1.03518i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) $ 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} - 8 q^{13} - 4 q^{14} - 7 q^{15} - 4 q^{16} - 7 q^{17} - 4 q^{18} + 20 q^{19} - 7 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{23} + 40 q^{24} - 22 q^{25} + 14 q^{26} - 4 q^{27} - 4 q^{28} + 15 q^{29} + 4 q^{30} - 16 q^{31} - 4 q^{32} - q^{33} - 7 q^{34} - 7 q^{35} - 4 q^{36} - 16 q^{37} - 13 q^{38} - 8 q^{39} + 4 q^{40} - 17 q^{41} - 4 q^{42} + 26 q^{43} - q^{44} + 4 q^{45} - 20 q^{46} + 72 q^{47} - 4 q^{48} - 4 q^{49} + 11 q^{50} - 7 q^{51} - 19 q^{52} + 6 q^{53} - 4 q^{54} + 49 q^{55} - 4 q^{56} + 9 q^{57} - 7 q^{58} - 51 q^{59} + 4 q^{60} - 42 q^{61} - 16 q^{62} - 4 q^{63} - 4 q^{64} + 8 q^{65} - 12 q^{66} + 54 q^{67} + 4 q^{68} + 2 q^{69} + 4 q^{70} - 59 q^{71} - 4 q^{72} - 27 q^{73} - 16 q^{74} + 11 q^{75} - 2 q^{76} - 12 q^{77} - 8 q^{78} - 6 q^{79} - 7 q^{80} - 4 q^{81} - 6 q^{82} - 24 q^{83} - 4 q^{84} + 35 q^{85} - 7 q^{86} - 29 q^{87} - q^{88} + 22 q^{89} - 7 q^{90} + 36 q^{91} - 9 q^{92} + 50 q^{93} - 16 q^{94} + 22 q^{95} - 4 q^{96} + 16 q^{97} - 4 q^{98} - q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 4 * q^10 - q^11 - 4 * q^12 - 8 * q^13 - 4 * q^14 - 7 * q^15 - 4 * q^16 - 7 * q^17 - 4 * q^18 + 20 * q^19 - 7 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^23 + 40 * q^24 - 22 * q^25 + 14 * q^26 - 4 * q^27 - 4 * q^28 + 15 * q^29 + 4 * q^30 - 16 * q^31 - 4 * q^32 - q^33 - 7 * q^34 - 7 * q^35 - 4 * q^36 - 16 * q^37 - 13 * q^38 - 8 * q^39 + 4 * q^40 - 17 * q^41 - 4 * q^42 + 26 * q^43 - q^44 + 4 * q^45 - 20 * q^46 + 72 * q^47 - 4 * q^48 - 4 * q^49 + 11 * q^50 - 7 * q^51 - 19 * q^52 + 6 * q^53 - 4 * q^54 + 49 * q^55 - 4 * q^56 + 9 * q^57 - 7 * q^58 - 51 * q^59 + 4 * q^60 - 42 * q^61 - 16 * q^62 - 4 * q^63 - 4 * q^64 + 8 * q^65 - 12 * q^66 + 54 * q^67 + 4 * q^68 + 2 * q^69 + 4 * q^70 - 59 * q^71 - 4 * q^72 - 27 * q^73 - 16 * q^74 + 11 * q^75 - 2 * q^76 - 12 * q^77 - 8 * q^78 - 6 * q^79 - 7 * q^80 - 4 * q^81 - 6 * q^82 - 24 * q^83 - 4 * q^84 + 35 * q^85 - 7 * q^86 - 29 * q^87 - q^88 + 22 * q^89 - 7 * q^90 + 36 * q^91 - 9 * q^92 + 50 * q^93 - 16 * q^94 + 22 * q^95 - 4 * q^96 + 16 * q^97 - 4 * q^98 - q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{8}{11}\right)$

Coefficient data

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

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

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

$2$	−0.142315	−	0.989821i	−0.100632	−	0.699909i
$2$	−0.142315	−	0.989821i	−0.100632	−	0.699909i
$3$	0.415415	−	0.909632i	0.239840	−	0.525176i
$3$	0.415415	−	0.909632i	0.239840	−	0.525176i
$4$	−0.959493	+	0.281733i	−0.479746	+	0.140866i
$5$	−1.80470	+	2.08274i	−0.807088	+	0.931429i	−0.998748	−	0.0500322i	$-0.984068\pi$
$5$	−1.80470	+	2.08274i	−0.807088	+	0.931429i	0.191660	+	0.981461i	$0.438613\pi$
$6$	−0.959493	−	0.281733i	−0.391711	−	0.115017i
$7$	0.841254	−	0.540641i	0.317964	−	0.204343i
$7$	0.841254	−	0.540641i	0.317964	−	0.204343i
$8$	0.415415	+	0.909632i	0.146871	+	0.321603i
$9$	−0.654861	−	0.755750i	−0.218287	−	0.251917i
$10$	2.31838	+	1.48993i	0.733135	+	0.471157i
$11$	0.272494	−	1.89524i	0.0821599	−	0.571435i	−0.906608	−	0.421974i	$-0.861337\pi$
$11$	0.272494	−	1.89524i	0.0821599	−	0.571435i	0.988768	−	0.149461i	$-0.0477537\pi$
$12$	−0.142315	+	0.989821i	−0.0410828	+	0.285737i
$13$	1.37930	+	0.886423i	0.382549	+	0.245850i	0.717755	−	0.696295i	$-0.245170\pi$
$13$	1.37930	+	0.886423i	0.382549	+	0.245850i	−0.335206	+	0.942145i	$0.608806\pi$
$14$	−0.654861	−	0.755750i	−0.175019	−	0.201983i
$15$	1.14483	+	2.50682i	0.295593	+	0.647257i
$16$	0.841254	−	0.540641i	0.210313	−	0.135160i
$17$	−7.48594	−	2.19807i	−1.81561	−	0.533110i	−0.816581	−	0.577231i	$-0.804133\pi$
$17$	−7.48594	−	2.19807i	−1.81561	−	0.533110i	−0.999026	+	0.0441211i	$0.985951\pi$
$18$	−0.654861	+	0.755750i	−0.154352	+	0.178132i
$19$	−7.59340	+	2.22962i	−1.74205	+	0.511511i	−0.989186	−	0.146670i	$-0.953145\pi$
$19$	−7.59340	+	2.22962i	−1.74205	+	0.511511i	−0.752860	+	0.658180i	$0.771326\pi$
$20$	1.14483	−	2.50682i	0.255991	−	0.560541i
$21$	−0.142315	−	0.989821i	−0.0310556	−	0.215997i
$22$	−1.91472			−0.408221
$23$	4.17388	−	2.36194i	0.870314	−	0.492498i
$23$	4.17388	−	2.36194i	0.870314	−	0.492498i
$24$	1.00000			0.204124
$25$	−0.369273	−	2.56835i	−0.0738545	−	0.513669i
$26$	0.681106	−	1.49141i	0.133576	−	0.292490i
$27$	−0.959493	+	0.281733i	−0.184655	+	0.0542195i
$28$	−0.654861	+	0.755750i	−0.123757	+	0.142823i
$29$	−7.01645	−	2.06022i	−1.30292	−	0.382573i	−0.444621	−	0.895719i	$-0.646662\pi$
$29$	−7.01645	−	2.06022i	−1.30292	−	0.382573i	−0.858301	+	0.513146i	$0.828480\pi$
$30$	2.31838	−	1.48993i	0.423276	−	0.272023i
$31$	1.31005	+	2.86861i	0.235292	+	0.515217i	0.990038	−	0.140800i	$-0.0449673\pi$
$31$	1.31005	+	2.86861i	0.235292	+	0.515217i	−0.754746	+	0.656017i	$0.772240\pi$
$32$	−0.654861	−	0.755750i	−0.115764	−	0.133599i
$33$	−1.61077	−	1.03518i	−0.280399	−	0.180201i
$34$	−1.11034	+	7.72256i	−0.190421	+	1.32441i
$35$	−0.392200	+	2.72781i	−0.0662938	+	0.461084i
$36$	0.841254	+	0.540641i	0.140209	+	0.0901068i
$37$	−0.106349	−	0.122734i	−0.0174837	−	0.0201773i	0.746940	−	0.664891i	$-0.231522\pi$
$37$	−0.106349	−	0.122734i	−0.0174837	−	0.0201773i	−0.764424	+	0.644714i	$0.776977\pi$
$38$	3.28758	+	7.19880i	0.533316	+	1.16780i
$39$	1.37930	−	0.886423i	0.220865	−	0.141941i
$40$	−2.64423	−	0.776415i	−0.418089	−	0.122762i
$41$	−3.47161	+	4.00645i	−0.542174	+	0.625702i	−0.959042	−	0.283265i	$-0.908582\pi$
$41$	−3.47161	+	4.00645i	−0.542174	+	0.625702i	0.416868	+	0.908967i	$0.363128\pi$
$42$	−0.959493	+	0.281733i	−0.148053	+	0.0434723i
$43$	−4.13018	+	9.04383i	−0.629846	+	1.37917i	0.278290	+	0.960497i	$0.410232\pi$
$43$	−4.13018	+	9.04383i	−0.629846	+	1.37917i	−0.908136	+	0.418674i	$0.862495\pi$
$44$	0.272494	+	1.89524i	0.0410800	+	0.285717i
$45$	2.75586			0.410819
$46$	−2.93190	−	3.79526i	−0.432285	−	0.559580i
$47$	−9.44050			−1.37704			−0.688519	−	0.725218i	$-0.741739\pi$
$47$	−9.44050			−1.37704			−0.688519	+	0.725218i	$0.741739\pi$
$48$	−0.142315	−	0.989821i	−0.0205414	−	0.142868i
$49$	0.415415	−	0.909632i	0.0593450	−	0.129947i
$50$	−2.48965	+	0.731028i	−0.352090	+	0.103383i
$51$	−5.10921	+	5.89634i	−0.715432	+	0.825652i
$52$	−1.57316	−	0.461923i	−0.218159	−	0.0640572i
$53$	1.82953	−	1.17577i	0.251305	−	0.161504i	−0.408924	−	0.912569i	$-0.634096\pi$
$53$	1.82953	−	1.17577i	0.251305	−	0.161504i	0.660229	+	0.751065i	$0.270459\pi$
$54$	0.415415	+	0.909632i	0.0565308	+	0.123785i
$55$	3.45551	+	3.98787i	0.465941	+	0.537725i
$56$	0.841254	+	0.540641i	0.112417	+	0.0722462i
$57$	−1.12628	+	7.83342i	−0.149179	+	1.03756i
$58$	−1.04070	+	7.23824i	−0.136651	+	0.950427i
$59$	−4.44119	−	2.85418i	−0.578194	−	0.371583i	0.218618	−	0.975811i	$-0.429845\pi$
$59$	−4.44119	−	2.85418i	−0.578194	−	0.371583i	−0.796812	+	0.604228i	$0.793482\pi$
$60$	−1.80470	−	2.08274i	−0.232986	−	0.268880i
$61$	−2.46441	−	5.39631i	−0.315536	−	0.690927i	0.683710	−	0.729754i	$-0.260365\pi$
$61$	−2.46441	−	5.39631i	−0.315536	−	0.690927i	−0.999246	+	0.0388267i	$0.987638\pi$
$62$	2.65297	−	1.70496i	0.336928	−	0.216530i
$63$	−0.959493	−	0.281733i	−0.120885	−	0.0354950i
$64$	−0.654861	+	0.755750i	−0.0818576	+	0.0944687i
$65$	−4.33542	+	1.27299i	−0.537743	+	0.157895i
$66$	−0.795405	+	1.74169i	−0.0979076	+	0.214388i
$67$	−0.699783	−	4.86710i	−0.0854921	−	0.594611i	−0.986863	−	0.161562i	$-0.948347\pi$
$67$	−0.699783	−	4.86710i	−0.0854921	−	0.594611i	0.901370	−	0.433049i	$-0.142562\pi$
$68$	7.80197			0.946128
$69$	−0.414601	−	4.77788i	−0.0499121	−	0.575189i
$70$	2.75586			0.329388
$71$	1.32271	+	9.19963i	0.156976	+	1.09180i	0.904165	+	0.427183i	$0.140494\pi$
$71$	1.32271	+	9.19963i	0.156976	+	1.09180i	−0.747189	+	0.664612i	$0.768597\pi$
$72$	0.415415	−	0.909632i	0.0489571	−	0.107201i
$73$	7.53184	−	2.21155i	0.881535	−	0.258842i	0.190521	−	0.981683i	$-0.438982\pi$
$73$	7.53184	−	2.21155i	0.881535	−	0.258842i	0.691014	+	0.722841i	$0.257164\pi$
$74$	−0.106349	+	0.122734i	−0.0123629	+	0.0142675i
$75$	−2.48965	−	0.731028i	−0.287480	−	0.0844118i
$76$	6.65766	−	4.27862i	0.763686	−	0.490791i
$77$	−0.795405	−	1.74169i	−0.0906448	−	0.198485i
$78$	−1.07370	−	1.23911i	−0.121572	−	0.140302i
$79$	4.64918	+	2.98785i	0.523073	+	0.336159i	0.775387	−	0.631487i	$-0.217555\pi$
$79$	4.64918	+	2.98785i	0.523073	+	0.336159i	−0.252313	+	0.967646i	$0.581191\pi$
$80$	−0.392200	+	2.72781i	−0.0438492	+	0.304978i
$81$	−0.142315	+	0.989821i	−0.0158128	+	0.109980i
$82$	4.45973	+	2.86609i	0.492495	+	0.316507i
$83$	1.46609	+	1.69196i	0.160924	+	0.185717i	0.830485	−	0.557040i	$-0.188063\pi$
$83$	1.46609	+	1.69196i	0.160924	+	0.185717i	−0.669561	+	0.742757i	$0.733518\pi$
$84$	0.415415	+	0.909632i	0.0453255	+	0.0992490i
$85$	18.0879	−	11.6244i	1.96191	−	1.26084i
$86$	9.53956	+	2.80107i	1.02868	+	0.302047i
$87$	−4.78878	+	5.52655i	−0.513411	+	0.592508i
$88$	1.83716	−	0.539440i	0.195842	−	0.0575045i
$89$	−2.20509	+	4.82848i	−0.233739	+	0.511817i	−0.989762	−	0.142728i	$-0.954413\pi$
$89$	−2.20509	+	4.82848i	−0.233739	+	0.511817i	0.756023	+	0.654545i	$0.227140\pi$
$90$	−0.392200	−	2.72781i	−0.0413415	−	0.287536i
$91$	1.63958			0.171875
$92$	−3.33937	+	3.44218i	−0.348154	+	0.358872i
$93$	3.15359			0.327012
$94$	1.34352	+	9.34441i	0.138574	+	0.963802i
$95$	9.06012	−	19.8389i	0.929548	−	2.03543i
$96$	−0.959493	+	0.281733i	−0.0979278	+	0.0287542i
$97$	5.16461	−	5.96028i	0.524387	−	0.605175i	−0.430337	−	0.902668i	$-0.641605\pi$
$97$	5.16461	−	5.96028i	0.524387	−	0.605175i	0.954724	+	0.297493i	$0.0961506\pi$
$98$	−0.959493	−	0.281733i	−0.0969234	−	0.0284593i
$99$	−1.61077	+	1.03518i	−0.161888	+	0.104039i
$100$	1.07790	+	2.36027i	0.107790	+	0.236027i
$101$	−11.8457	−	13.6706i	−1.17869	−	1.36028i	−0.918842	−	0.394627i	$-0.870874\pi$
$101$	−11.8457	−	13.6706i	−1.17869	−	1.36028i	−0.259845	−	0.965650i	$-0.583672\pi$
$102$	6.56344	+	4.21807i	0.649877	+	0.417651i
$103$	−0.924177	+	6.42779i	−0.0910618	+	0.633349i	0.892266	+	0.451509i	$0.149114\pi$
$103$	−0.924177	+	6.42779i	−0.0910618	+	0.633349i	−0.983328	+	0.181840i	$0.941795\pi$
$104$	−0.233336	+	1.62289i	−0.0228805	+	0.159138i
$105$	2.31838	+	1.48993i	0.226250	+	0.145402i
$106$	−1.42417	−	1.64358i	−0.138327	−	0.159638i
$107$	−3.24927	−	7.11491i	−0.314119	−	0.687824i	0.685054	−	0.728492i	$-0.259779\pi$
$107$	−3.24927	−	7.11491i	−0.314119	−	0.687824i	−0.999173	+	0.0406683i	$0.987051\pi$
$108$	0.841254	−	0.540641i	0.0809497	−	0.0520232i
$109$	−1.75140	−	0.514258i	−0.167754	−	0.0492570i	0.196777	−	0.980448i	$-0.436952\pi$
$109$	−1.75140	−	0.514258i	−0.167754	−	0.0492570i	−0.364531	+	0.931191i	$0.618771\pi$
$110$	3.45551	−	3.98787i	0.329470	−	0.380229i
$111$	−0.155822	+	0.0457534i	−0.0147899	+	0.00434272i
$112$	0.415415	−	0.909632i	0.0392530	−	0.0859521i
$113$	1.19661	+	8.32260i	0.112567	+	0.782924i	0.965406	+	0.260750i	$0.0839698\pi$
$113$	1.19661	+	8.32260i	0.112567	+	0.782924i	−0.852839	+	0.522174i	$0.825121\pi$
$114$	7.91397			0.741211
$115$	−2.61332	+	12.9557i	−0.243693	+	1.20812i
$116$	7.31267			0.678964
$117$	−0.233336	−	1.62289i	−0.0215720	−	0.150036i
$118$	−2.19308	+	4.80218i	−0.201890	+	0.442076i
$119$	−7.48594	+	2.19807i	−0.686235	+	0.201497i
$120$	−1.80470	+	2.08274i	−0.164746	+	0.190127i
$121$	7.03676	+	2.06618i	0.639705	+	0.187834i
$122$	−4.99066	+	3.20730i	−0.451833	+	0.290376i
$123$	2.20223	+	4.82222i	0.198569	+	0.434805i
$124$	−2.06516	−	2.38333i	−0.185457	−	0.214029i
$125$	−5.57626	−	3.58364i	−0.498755	−	0.320531i
$126$	−0.142315	+	0.989821i	−0.0126784	+	0.0881803i
$127$	1.17166	−	8.14908i	0.103968	−	0.723114i	−0.869440	−	0.494038i	$-0.835520\pi$
$127$	1.17166	−	8.14908i	0.103968	−	0.723114i	0.973409	−	0.229076i	$-0.0735705\pi$
$128$	0.841254	+	0.540641i	0.0743570	+	0.0477863i
$129$	6.51082	+	7.51389i	0.573246	+	0.661561i
$130$	1.87703	+	4.11013i	0.164627	+	0.360482i
$131$	0.465772	−	0.299334i	0.0406947	−	0.0261529i	−0.520135	−	0.854084i	$-0.674118\pi$
$131$	0.465772	−	0.299334i	0.0406947	−	0.0261529i	0.560830	+	0.827931i	$0.310482\pi$
$132$	1.83716	+	0.539440i	0.159905	+	0.0469522i
$133$	−5.18255	+	5.98098i	−0.449384	+	0.518617i
$134$	−4.71797	+	1.38532i	−0.407570	+	0.119673i
$135$	1.14483	−	2.50682i	0.0985309	−	0.215752i
$136$	−1.11034	−	7.72256i	−0.0952106	−	0.662204i
$137$	−10.4890			−0.896135			−0.448067	−	0.894000i	$-0.647888\pi$
$137$	−10.4890			−0.896135			−0.448067	+	0.894000i	$0.647888\pi$
$138$	−4.67024	+	1.09034i	−0.397557	+	0.0928162i
$139$	14.1994			1.20438			0.602188	−	0.798354i	$-0.294296\pi$
$139$	14.1994			1.20438			0.602188	+	0.798354i	$0.294296\pi$
$140$	−0.392200	−	2.72781i	−0.0331469	−	0.230542i
$141$	−3.92173	+	8.58738i	−0.330269	+	0.723188i
$142$	8.91775	−	2.61849i	0.748361	−	0.219739i
$143$	2.05583	−	2.37256i	0.171917	−	0.198403i
$144$	−0.959493	−	0.281733i	−0.0799577	−	0.0234777i
$145$	16.9535	−	10.8954i	1.40791	−	0.904811i
$146$	−3.26093	−	7.14044i	−0.269877	−	0.590947i
$147$	−0.654861	−	0.755750i	−0.0540120	−	0.0623332i
$148$	0.136620	+	0.0878001i	0.0112301	+	0.00721712i
$149$	1.96558	−	13.6709i	0.161027	−	1.11997i	−0.735677	−	0.677333i	$-0.763136\pi$
$149$	1.96558	−	13.6709i	0.161027	−	1.11997i	0.896703	−	0.442632i	$-0.145955\pi$
$150$	−0.369273	+	2.56835i	−0.0301510	+	0.209705i
$151$	−6.41874	−	4.12508i	−0.522350	−	0.335694i	0.252751	−	0.967531i	$-0.418665\pi$
$151$	−6.41874	−	4.12508i	−0.522350	−	0.335694i	−0.775101	+	0.631837i	$0.782301\pi$
$152$	−5.18255	−	5.98098i	−0.420360	−	0.485122i
$153$	3.24106	+	7.09692i	0.262024	+	0.573752i
$154$	−1.61077	+	1.03518i	−0.129799	+	0.0834170i
$155$	−8.33881	−	2.44850i	−0.669790	−	0.196668i
$156$	−1.07370	+	1.23911i	−0.0859645	+	0.0992083i
$157$	−5.67759	+	1.66709i	−0.453121	+	0.133048i	−0.500327	−	0.865837i	$-0.666787\pi$
$157$	−5.67759	+	1.66709i	−0.453121	+	0.133048i	0.0472052	+	0.998885i	$0.484969\pi$
$158$	2.29579	−	5.02707i	0.182643	−	0.399932i
$159$	−0.309501	−	2.15263i	−0.0245450	−	0.170715i
$160$	2.75586			0.217870
$161$	2.23433	−	4.24356i	0.176090	−	0.334439i
$162$	1.00000			0.0785674
$163$	−1.48073	−	10.2987i	−0.115980	−	0.806655i	−0.961911	−	0.273364i	$-0.911864\pi$
$163$	−1.48073	−	10.2987i	−0.115980	−	0.806655i	0.845931	−	0.533292i	$-0.179045\pi$
$164$	2.20223	−	4.82222i	0.171966	−	0.376552i
$165$	5.06297	−	1.48662i	0.394151	−	0.115733i
$166$	1.46609	−	1.69196i	0.113791	−	0.131322i
$167$	15.4346	+	4.53202i	1.19437	+	0.350698i	0.817697	−	0.575649i	$-0.195251\pi$
$167$	15.4346	+	4.53202i	1.19437	+	0.350698i	0.376671	+	0.926347i	$0.377069\pi$
$168$	0.841254	−	0.540641i	0.0649041	−	0.0417113i
$169$	−4.28367	−	9.37993i	−0.329513	−	0.721533i
$170$	−14.0803	−	16.2495i	−1.07991	−	1.24628i
$171$	6.65766	+	4.27862i	0.509124	+	0.327194i
$172$	1.41494	−	9.84110i	0.107888	−	0.750377i
$173$	1.12283	−	7.80942i	0.0853668	−	0.593739i	−0.901570	−	0.432633i	$-0.857585\pi$
$173$	1.12283	−	7.80942i	0.0853668	−	0.593739i	0.986937	−	0.161106i	$-0.0515063\pi$
$174$	6.15181	+	3.95353i	0.466367	+	0.299716i
$175$	−1.69921	−	1.96099i	−0.128448	−	0.148237i
$176$	−0.795405	−	1.74169i	−0.0599559	−	0.131285i
$177$	−4.44119	+	2.85418i	−0.333820	+	0.214533i
$178$	5.09315	+	1.49548i	0.381747	+	0.112091i
$179$	−5.16090	+	5.95600i	−0.385744	+	0.445172i	−0.915100	−	0.403228i	$-0.867888\pi$
$179$	−5.16090	+	5.95600i	−0.385744	+	0.445172i	0.529356	+	0.848400i	$0.322434\pi$
$180$	−2.64423	+	0.776415i	−0.197089	+	0.0578706i
$181$	−10.2320	+	22.4050i	−0.760539	+	1.66535i	−0.0140950	+	0.999901i	$0.504487\pi$
$181$	−10.2320	+	22.4050i	−0.760539	+	1.66535i	−0.746444	+	0.665448i	$0.768241\pi$
$182$	−0.233336	−	1.62289i	−0.0172960	−	0.120297i
$183$	−5.93241			−0.438536
$184$	3.88238	+	2.81551i	0.286213	+	0.207562i
$185$	0.447552			0.0329047
$186$	−0.448803	−	3.12149i	−0.0329078	−	0.228879i
$187$	−6.20573	+	13.5887i	−0.453808	+	0.993701i
$188$	9.05809	−	2.65970i	0.660629	−	0.193978i
$189$	−0.654861	+	0.755750i	−0.0476341	+	0.0549727i
$190$	−20.9263	−	6.14453i	−1.51816	−	0.445771i
$191$	−8.51342	+	5.47125i	−0.616010	+	0.395885i	−0.811106	−	0.584899i	$-0.801134\pi$
$191$	−8.51342	+	5.47125i	−0.616010	+	0.395885i	0.195097	+	0.980784i	$0.437498\pi$
$192$	0.415415	+	0.909632i	0.0299800	+	0.0656470i
$193$	−0.750389	−	0.865995i	−0.0540142	−	0.0623357i	0.728100	−	0.685471i	$-0.240404\pi$
$193$	−0.750389	−	0.865995i	−0.0540142	−	0.0623357i	−0.782114	+	0.623136i	$0.785858\pi$
$194$	−6.63462	−	4.26381i	−0.476338	−	0.306124i
$195$	−0.643042	+	4.47246i	−0.0460492	+	0.320279i
$196$	−0.142315	+	0.989821i	−0.0101653	+	0.0707015i
$197$	23.2698	+	14.9546i	1.65790	+	1.06547i	0.921072	+	0.389393i	$0.127315\pi$
$197$	23.2698	+	14.9546i	1.65790	+	1.06547i	0.736831	+	0.676077i	$0.236321\pi$
$198$	1.25388	+	1.44705i	0.0891092	+	0.102838i
$199$	−9.91360	−	21.7078i	−0.702757	−	1.53882i	−0.836596	−	0.547820i	$-0.815458\pi$
$199$	−9.91360	−	21.7078i	−0.702757	−	1.53882i	0.133840	−	0.991003i	$-0.457269\pi$
$200$	2.18285	−	1.40283i	0.154351	−	0.0991952i
$201$	−4.71797	−	1.38532i	−0.332780	−	0.0977130i
$202$	−11.8457	+	13.6706i	−0.833457	+	0.961861i
$203$	−7.01645	+	2.06022i	−0.492459	+	0.144599i
$204$	3.24106	−	7.09692i	0.226919	−	0.496884i
$205$	−2.07916	−	14.4609i	−0.145215	−	1.00999i
$206$	6.49389			0.452451
$207$	−4.51834	−	1.60767i	−0.314046	−	0.111741i
$208$	1.63958			0.113684
$209$	2.15651	+	14.9988i	0.149169	+	1.03749i
$210$	1.14483	−	2.50682i	0.0790004	−	0.172987i
$211$	−2.61055	+	0.766526i	−0.179717	+	0.0527698i	−0.370353	−	0.928891i	$-0.620763\pi$
$211$	−2.61055	+	0.766526i	−0.179717	+	0.0527698i	0.190636	+	0.981661i	$0.438945\pi$
$212$	−1.42417	+	1.64358i	−0.0978123	+	0.112881i
$213$	8.91775	+	2.61849i	0.611034	+	0.179416i
$214$	−6.58007	+	4.22875i	−0.449804	+	0.289072i
$215$	−11.3822	−	24.9235i	−0.776259	−	1.69977i
$216$	−0.654861	−	0.755750i	−0.0445576	−	0.0514222i
$217$	2.65297	+	1.70496i	0.180095	+	0.115740i
$218$	−0.259773	+	1.80676i	−0.0175941	+	0.122369i
$219$	1.11715	−	7.76991i	0.0754897	−	0.525042i
$220$	−4.43905	−	2.85281i	−0.299281	−	0.192336i
$221$	−8.37695	−	9.66751i	−0.563494	−	0.650307i
$222$	0.0674634	+	0.147724i	0.00452785	+	0.00991461i
$223$	−12.0270	+	7.72927i	−0.805386	+	0.517590i	−0.877369	−	0.479816i	$-0.840704\pi$
$223$	−12.0270	+	7.72927i	−0.805386	+	0.517590i	0.0719833	+	0.997406i	$0.477067\pi$
$224$	−0.959493	−	0.281733i	−0.0641088	−	0.0188240i
$225$	−1.69921	+	1.96099i	−0.113280	+	0.130732i
$226$	8.06759	−	2.36886i	0.536648	−	0.157574i
$227$	−6.15930	+	13.4870i	−0.408807	+	0.895162i	0.587494	+	0.809228i	$0.300115\pi$
$227$	−6.15930	+	13.4870i	−0.408807	+	0.895162i	−0.996301	+	0.0859336i	$0.972613\pi$
$228$	−1.12628	−	7.83342i	−0.0745894	−	0.518781i
$229$	1.74879			0.115563			0.0577815	−	0.998329i	$-0.481597\pi$
$229$	1.74879			0.115563			0.0577815	+	0.998329i	$0.481597\pi$
$230$	13.1957	+	0.742929i	0.870101	+	0.0489873i
$231$	−1.91472			−0.125980
$232$	−1.04070	−	7.23824i	−0.0683254	−	0.475214i
$233$	9.51597	−	20.8371i	0.623412	−	1.36508i	−0.289600	−	0.957148i	$-0.593522\pi$
$233$	9.51597	−	20.8371i	0.623412	−	1.36508i	0.913012	−	0.407934i	$-0.133750\pi$
$234$	−1.57316	+	0.461923i	−0.102841	+	0.0301968i
$235$	17.0373	−	19.6621i	1.11139	−	1.28261i
$236$	5.06541	+	1.48734i	0.329730	+	0.0968174i
$237$	4.64918	−	2.98785i	0.301997	−	0.194081i
$238$	3.24106	+	7.09692i	0.210087	+	0.460025i
$239$	13.1753	+	15.2051i	0.852240	+	0.983537i	0.999985	−	0.00548854i	$-0.00174706\pi$
$239$	13.1753	+	15.2051i	0.852240	+	0.983537i	−0.147745	+	0.989025i	$0.547202\pi$
$240$	2.31838	+	1.48993i	0.149651	+	0.0961746i
$241$	−2.79997	+	19.4742i	−0.180362	+	1.25444i	0.675548	+	0.737316i	$0.263907\pi$
$241$	−2.79997	+	19.4742i	−0.180362	+	1.25444i	−0.855909	+	0.517126i	$0.827002\pi$
$242$	1.04371	−	7.25918i	0.0670924	−	0.466638i
$243$	0.841254	+	0.540641i	0.0539664	+	0.0346821i
$244$	3.88490	+	4.48342i	0.248705	+	0.287021i
$245$	1.14483	+	2.50682i	0.0731402	+	0.160155i
$246$	4.45973	−	2.86609i	0.284342	−	0.182735i
$247$	−12.4500	−	3.65564i	−0.792173	−	0.232603i
$248$	−2.06516	+	2.38333i	−0.131138	+	0.151341i
$249$	2.14810	−	0.630738i	0.136130	−	0.0399714i
$250$	−2.75358	+	6.02950i	−0.174152	+	0.381339i
$251$	−3.00038	−	20.8681i	−0.189382	−	1.31718i	−0.833612	−	0.552351i	$-0.813731\pi$
$251$	−3.00038	−	20.8681i	−0.189382	−	1.31718i	0.644229	−	0.764832i	$-0.277178\pi$
$252$	1.00000			0.0629941
$253$	−3.33907	−	8.55409i	−0.209926	−	0.537791i
$254$	−8.23288			−0.516577
$255$	−3.05993	−	21.2823i	−0.191620	−	1.33275i
$256$	0.415415	−	0.909632i	0.0259634	−	0.0568520i
$257$	21.6272	−	6.35032i	1.34907	−	0.396122i	0.474172	−	0.880432i	$-0.342747\pi$
$257$	21.6272	−	6.35032i	1.34907	−	0.396122i	0.874896	+	0.484310i	$0.160929\pi$
$258$	6.51082	−	7.51389i	0.405346	−	0.467794i
$259$	−0.155822	−	0.0457534i	−0.00968229	−	0.00284298i
$260$	3.80116	−	2.44286i	0.235738	−	0.151500i
$261$	3.03779	+	6.65184i	0.188035	+	0.411738i
$262$	−0.362573	−	0.418432i	−0.0223998	−	0.0258508i
$263$	−21.5812	−	13.8694i	−1.33075	−	0.855223i	−0.334559	−	0.942375i	$-0.608587\pi$
$263$	−21.5812	−	13.8694i	−1.33075	−	0.855223i	−0.996195	+	0.0871515i	$0.972224\pi$
$264$	0.272494	−	1.89524i	0.0167708	−	0.116644i
$265$	−0.852942	+	5.93234i	−0.0523958	+	0.364421i
$266$	6.65766	+	4.27862i	0.408207	+	0.262339i
$267$	3.47611	+	4.01164i	0.212734	+	0.245509i
$268$	2.04266	+	4.47279i	0.124775	+	0.273219i
$269$	7.93952	−	5.10242i	0.484081	−	0.311100i	−0.275740	−	0.961232i	$-0.588923\pi$
$269$	7.93952	−	5.10242i	0.484081	−	0.311100i	0.759821	+	0.650132i	$0.225286\pi$
$270$	−2.64423	−	0.776415i	−0.160923	−	0.0472511i
$271$	19.1876	−	22.1437i	1.16556	−	1.34513i	0.238089	−	0.971243i	$-0.423479\pi$
$271$	19.1876	−	22.1437i	1.16556	−	1.34513i	0.927474	−	0.373888i	$-0.121976\pi$
$272$	−7.48594	+	2.19807i	−0.453902	+	0.133278i
$273$	0.681106	−	1.49141i	0.0412224	−	0.0902645i
$274$	1.49274	+	10.3822i	0.0901797	+	0.627213i
$275$	−4.96825			−0.299597
$276$	1.74389	+	4.46753i	0.104970	+	0.268914i
$277$	18.7623			1.12732			0.563659	−	0.826007i	$-0.309393\pi$
$277$	18.7623			1.12732			0.563659	+	0.826007i	$0.309393\pi$
$278$	−2.02078	−	14.0549i	−0.121199	−	0.842954i
$279$	1.31005	−	2.86861i	0.0784306	−	0.171739i
$280$	−2.64423	+	0.776415i	−0.158023	+	0.0463997i
$281$	16.3750	−	18.8978i	0.976852	−	1.12735i	−0.0149917	−	0.999888i	$-0.504772\pi$
$281$	16.3750	−	18.8978i	0.976852	−	1.12735i	0.991844	−	0.127460i	$-0.0406824\pi$
$282$	9.05809	+	2.65970i	0.539402	+	0.158383i
$283$	−15.6148	+	10.0350i	−0.928201	+	0.596519i	−0.915026	−	0.403395i	$-0.867830\pi$
$283$	−15.6148	+	10.0350i	−0.928201	+	0.596519i	−0.0131748	+	0.999913i	$0.504194\pi$
$284$	−3.86096	−	8.45433i	−0.229106	−	0.501672i
$285$	−14.2824	−	16.4827i	−0.846015	−	0.976353i
$286$	−2.64098	−	1.69726i	−0.156165	−	0.100361i
$287$	−0.754452	+	5.24733i	−0.0445339	+	0.309740i
$288$	−0.142315	+	0.989821i	−0.00838598	+	0.0583258i
$289$	36.9065	+	23.7183i	2.17097	+	1.39520i
$290$	−13.1972	−	15.2304i	−0.774966	−	0.894359i
$291$	−3.27621	−	7.17389i	−0.192055	−	0.420541i
$292$	−6.60368	+	4.24393i	−0.386451	+	0.248357i
$293$	0.539890	+	0.158526i	0.0315407	+	0.00926119i	0.297465	−	0.954733i	$-0.403859\pi$
$293$	0.539890	+	0.158526i	0.0315407	+	0.00926119i	−0.265924	+	0.963994i	$0.585677\pi$
$294$	−0.654861	+	0.755750i	−0.0381923	+	0.0440762i
$295$	13.9595	−	4.09889i	0.812756	−	0.238647i
$296$	0.0674634	−	0.147724i	0.00392123	−	0.00858630i
$297$	0.272494	+	1.89524i	0.0158117	+	0.109973i
$298$	−13.8115			−0.800079
$299$	7.85071	+	0.442000i	0.454018	+	0.0255615i
$300$	2.59476			0.149808
$301$	1.41494	+	9.84110i	0.0815556	+	0.567231i
$302$	−3.16961	+	6.94047i	−0.182390	+	0.399379i
$303$	−17.3561	+	5.09621i	−0.997081	+	0.292770i
$304$	−5.18255	+	5.98098i	−0.297240	+	0.343033i
$305$	15.6866	+	4.60601i	0.898215	+	0.263740i
$306$	6.56344	−	4.21807i	0.375207	−	0.241131i
$307$	2.34240	+	5.12914i	0.133688	+	0.292736i	0.964623	−	0.263634i	$-0.0849211\pi$
$307$	2.34240	+	5.12914i	0.133688	+	0.292736i	−0.830935	+	0.556370i	$0.812194\pi$
$308$	1.25388	+	1.44705i	0.0714463	+	0.0824535i
$309$	5.46301	+	3.51086i	0.310780	+	0.199726i
$310$	−1.23684	+	8.60239i	−0.0702476	+	0.488583i
$311$	−0.519642	+	3.61419i	−0.0294662	+	0.204942i	−0.999236	−	0.0390792i	$-0.987558\pi$
$311$	−0.519642	+	3.61419i	−0.0294662	+	0.204942i	0.969770	+	0.244021i	$0.0784666\pi$
$312$	1.37930	+	0.886423i	0.0780876	+	0.0501838i
$313$	10.2055	+	11.7778i	0.576849	+	0.665719i	0.966924	−	0.255064i	$-0.0820965\pi$
$313$	10.2055	+	11.7778i	0.576849	+	0.665719i	−0.390075	+	0.920783i	$0.627551\pi$
$314$	2.45813	+	5.38255i	0.138720	+	0.303755i
$315$	2.31838	−	1.48993i	0.130626	−	0.0839480i
$316$	−5.30263	−	1.55699i	−0.298296	−	0.0875876i
$317$	−10.8505	+	12.5222i	−0.609427	+	0.703316i	−0.973663	−	0.227990i	$-0.926785\pi$
$317$	−10.8505	+	12.5222i	−0.609427	+	0.703316i	0.364236	+	0.931307i	$0.381330\pi$
$318$	−2.08667	+	0.612702i	−0.117015	+	0.0343586i
$319$	−5.81654	+	12.7364i	−0.325663	+	0.713104i
$320$	−0.392200	−	2.72781i	−0.0219246	−	0.152489i
$321$	−7.82174			−0.436567
$322$	−4.51834	−	1.60767i	−0.251797	−	0.0895918i
$323$	61.7446			3.43556
$324$	−0.142315	−	0.989821i	−0.00790638	−	0.0549901i
$325$	1.76730	−	3.86986i	0.0980324	−	0.214661i
$326$	−9.98313	+	2.93131i	−0.552915	+	0.162350i
$327$	−1.19534	+	1.37950i	−0.0661027	+	0.0762866i
$328$	−5.08655	−	1.49355i	−0.280858	−	0.0824673i
$329$	−7.94185	+	5.10392i	−0.437849	+	0.281388i
$330$	−2.19202	−	4.79986i	−0.120667	−	0.264224i
$331$	−3.87982	−	4.47755i	−0.213254	−	0.246109i	0.639037	−	0.769176i	$-0.279333\pi$
$331$	−3.87982	−	4.47755i	−0.213254	−	0.246109i	−0.852291	+	0.523067i	$0.824788\pi$
$332$	−1.88339	−	1.21038i	−0.103364	−	0.0664281i
$333$	−0.0231119	+	0.160747i	−0.00126653	+	0.00880888i
$334$	2.28931	−	15.9225i	0.125265	−	0.871240i
$335$	11.3998	+	7.32620i	0.622837	+	0.400273i
$336$	−0.654861	−	0.755750i	−0.0357256	−	0.0412295i
$337$	−5.83373	−	12.7741i	−0.317784	−	0.695849i	0.681572	−	0.731751i	$-0.261297\pi$
$337$	−5.83373	−	12.7741i	−0.317784	−	0.695849i	−0.999355	+	0.0359021i	$0.988570\pi$
$338$	−8.67482	+	5.57497i	−0.471848	+	0.303238i
$339$	8.06759	+	2.36886i	0.438171	+	0.128659i
$340$	−14.0803	+	16.2495i	−0.763609	+	0.881252i
$341$	5.79367	−	1.70117i	0.313745	−	0.0921237i
$342$	3.28758	−	7.19880i	0.177772	−	0.389267i
$343$	−0.142315	−	0.989821i	−0.00768428	−	0.0534453i
$344$	−9.94230			−0.536053
$345$	10.6993	+	7.75915i	0.576031	+	0.417738i
$346$	−7.88973			−0.424154
$347$	−1.04594	−	7.27464i	−0.0561488	−	0.390523i	−0.998445	−	0.0557434i	$-0.982247\pi$
$347$	−1.04594	−	7.27464i	−0.0561488	−	0.390523i	0.942296	−	0.334780i	$-0.108662\pi$
$348$	3.03779	−	6.65184i	0.162843	−	0.356576i
$349$	−16.4188	+	4.82100i	−0.878880	+	0.258062i	−0.689888	−	0.723916i	$-0.742340\pi$
$349$	−16.4188	+	4.82100i	−0.878880	+	0.258062i	−0.188992	+	0.981979i	$0.560522\pi$
$350$	−1.69921	+	1.96099i	−0.0908263	+	0.104819i
$351$	−1.57316	−	0.461923i	−0.0839693	−	0.0246556i
$352$	−1.61077	+	1.03518i	−0.0858543	+	0.0551752i
$353$	3.26661	+	7.15289i	0.173864	+	0.380710i	0.976424	−	0.215862i	$-0.0692562\pi$
$353$	3.26661	+	7.15289i	0.173864	+	0.380710i	−0.802559	+	0.596572i	$0.796529\pi$
$354$	3.45718	+	3.98979i	0.183747	+	0.212055i
$355$	−21.5475	−	13.8478i	−1.14362	−	0.734962i
$356$	0.755430	−	5.25413i	0.0400377	−	0.278469i
$357$	−1.11034	+	7.72256i	−0.0587652	+	0.408721i
$358$	6.62985	+	4.26074i	0.350398	+	0.225187i
$359$	−10.6876	−	12.3341i	−0.564070	−	0.650971i	0.400033	−	0.916501i	$-0.368999\pi$
$359$	−10.6876	−	12.3341i	−0.564070	−	0.650971i	−0.964103	+	0.265530i	$0.914453\pi$
$360$	1.14483	+	2.50682i	0.0603376	+	0.132121i
$361$	36.7047	−	23.5887i	1.93183	−	1.24151i
$362$	23.6331	+	6.93930i	1.24213	+	0.364722i
$363$	4.80264	−	5.54254i	0.252073	−	0.290908i
$364$	−1.57316	+	0.461923i	−0.0824562	+	0.0242113i
$365$	−8.98666	+	19.6781i	−0.470384	+	1.03000i
$366$	0.844270	+	5.87203i	0.0441307	+	0.306936i
$367$	3.71759			0.194057			0.0970283	−	0.995282i	$-0.469066\pi$
$367$	3.71759			0.194057			0.0970283	+	0.995282i	$0.469066\pi$
$368$	2.23433	−	4.24356i	0.116473	−	0.221211i
$369$	5.30129			0.275974
$370$	−0.0636932	−	0.442996i	−0.00331125	−	0.0230303i
$371$	0.903430	−	1.97824i	0.0469037	−	0.102705i
$372$	−3.02585	+	0.888469i	−0.156883	+	0.0460650i
$373$	−8.75715	+	10.1063i	−0.453428	+	0.523284i	−0.935728	−	0.352722i	$-0.885256\pi$
$373$	−8.75715	+	10.1063i	−0.453428	+	0.523284i	0.482300	+	0.876006i	$0.339802\pi$
$374$	14.3335	+	4.20870i	0.741168	+	0.217627i
$375$	−5.57626	+	3.58364i	−0.287957	+	0.185058i
$376$	−3.92173	−	8.58738i	−0.202248	−	0.442860i
$377$	−7.85158	−	9.06121i	−0.404377	−	0.466676i
$378$	0.841254	+	0.540641i	0.0432694	+	0.0278076i
$379$	0.613295	−	4.26556i	0.0315029	−	0.219107i	−0.967989	−	0.250994i	$-0.919243\pi$
$379$	0.613295	−	4.26556i	0.0315029	−	0.219107i	0.999491	+	0.0318869i	$0.0101516\pi$
$380$	−3.10386	+	21.5878i	−0.159225	+	1.10743i
$381$	−6.92594	−	4.45103i	−0.354827	−	0.228033i
$382$	6.62714	+	7.64813i	0.339074	+	0.391312i
$383$	12.5794	+	27.5450i	0.642776	+	1.40748i	0.897737	+	0.440532i	$0.145210\pi$
$383$	12.5794	+	27.5450i	0.642776	+	1.40748i	−0.254961	+	0.966951i	$0.582063\pi$
$384$	0.841254	−	0.540641i	0.0429300	−	0.0275895i
$385$	5.06297	+	1.48662i	0.258033	+	0.0757652i
$386$	−0.750389	+	0.865995i	−0.0381938	+	0.0440780i
$387$	9.53956	−	2.80107i	0.484923	−	0.142386i
$388$	−3.27621	+	7.17389i	−0.166324	+	0.364199i
$389$	−1.24437	−	8.65481i	−0.0630923	−	0.438816i	−0.996744	−	0.0806337i	$-0.974306\pi$
$389$	−1.24437	−	8.65481i	−0.0630923	−	0.438816i	0.933652	−	0.358183i	$-0.116604\pi$
$390$	4.51845			0.228801
$391$	−36.4371	+	8.50683i	−1.84270	+	0.430209i
$392$	1.00000			0.0505076
$393$	−0.0787947	−	0.548029i	−0.00397466	−	0.0276444i
$394$	11.4907	−	25.1612i	0.578894	−	1.26760i
$395$	−14.6133	+	4.29085i	−0.735275	+	0.215896i
$396$	1.25388	−	1.44705i	0.0630097	−	0.0727171i
$397$	−32.1426	−	9.43792i	−1.61319	−	0.473676i	−0.654015	−	0.756482i	$-0.726917\pi$
$397$	−32.1426	−	9.43792i	−1.61319	−	0.473676i	−0.959177	+	0.282806i	$0.908735\pi$
$398$	−20.0760	+	12.9020i	−1.00632	+	0.646721i
$399$	3.28758	+	7.19880i	0.164585	+	0.360391i
$400$	−1.69921	−	1.96099i	−0.0849603	−	0.0980494i
$401$	19.0759	+	12.2594i	0.952606	+	0.612203i	0.921942	−	0.387327i	$-0.126601\pi$
$401$	19.0759	+	12.2594i	0.952606	+	0.612203i	0.0306639	+	0.999530i	$0.490238\pi$
$402$	−0.699783	+	4.86710i	−0.0349020	+	0.242749i
$403$	−0.735848	+	5.11793i	−0.0366552	+	0.254942i
$404$	15.2173	+	9.77955i	0.757088	+	0.486551i
$405$	−1.80470	−	2.08274i	−0.0896765	−	0.103492i
$406$	3.03779	+	6.65184i	0.150763	+	0.330125i
$407$	−0.261589	+	0.168113i	−0.0129665	+	0.00833305i
$408$	−7.48594	−	2.19807i	−0.370609	−	0.108821i
$409$	24.6167	−	28.4092i	1.21722	−	1.40474i	0.329626	−	0.944112i	$-0.393077\pi$
$409$	24.6167	−	28.4092i	1.21722	−	1.40474i	0.887591	−	0.460632i	$-0.152377\pi$
$410$	−14.0178	+	4.11600i	−0.692290	+	0.203275i
$411$	−4.35728	+	9.54112i	−0.214929	+	0.470629i
$412$	−0.924177	−	6.42779i	−0.0455309	−	0.316675i
$413$	−5.27925			−0.259775
$414$	−0.948276	+	4.70115i	−0.0466052	+	0.231049i
$415$	−6.16977			−0.302862
$416$	−0.233336	−	1.62289i	−0.0114403	−	0.0795688i
$417$	5.89864	−	12.9162i	0.288858	−	0.632510i
$418$	14.5393	−	4.26912i	0.711139	−	0.208809i
$419$	6.15224	−	7.10006i	0.300557	−	0.346861i	−0.585303	−	0.810815i	$-0.699024\pi$
$419$	6.15224	−	7.10006i	0.300557	−	0.346861i	0.885859	+	0.463954i	$0.153570\pi$
$420$	−2.64423	−	0.776415i	−0.129025	−	0.0378852i
$421$	10.0171	−	6.43757i	0.488201	−	0.313748i	−0.273280	−	0.961934i	$-0.588109\pi$
$421$	10.0171	−	6.43757i	0.488201	−	0.313748i	0.761482	+	0.648186i	$0.224472\pi$
$422$	1.13024	+	2.47489i	0.0550194	+	0.120476i
$423$	6.18221	+	7.13465i	0.300589	+	0.346899i
$424$	1.82953	+	1.17577i	0.0888498	+	0.0571003i
$425$	−2.88105	+	20.0382i	−0.139752	+	0.971994i
$426$	1.32271	−	9.19963i	0.0640854	−	0.445724i
$427$	−4.99066	−	3.20730i	−0.241515	−	0.155212i
$428$	5.12215	+	5.91128i	0.247589	+	0.285732i
$429$	−1.30413	−	2.85565i	−0.0629640	−	0.137872i
$430$	−23.0500	+	14.8133i	−1.11157	+	0.714362i
$431$	−34.7319	−	10.1982i	−1.67298	−	0.491231i	−0.698480	−	0.715629i	$-0.746140\pi$
$431$	−34.7319	−	10.1982i	−1.67298	−	0.491231i	−0.974497	+	0.224399i	$0.927958\pi$
$432$	−0.654861	+	0.755750i	−0.0315070	+	0.0363610i
$433$	−20.0703	+	5.89316i	−0.964516	+	0.283207i	−0.725818	−	0.687887i	$-0.758539\pi$
$433$	−20.0703	+	5.89316i	−0.964516	+	0.283207i	−0.238698	+	0.971094i	$0.576720\pi$
$434$	1.31005	−	2.86861i	0.0628844	−	0.137698i
$435$	−2.86803	−	19.9476i	−0.137511	−	0.956412i
$436$	1.82534			0.0874180
$437$	−26.4277	+	27.2413i	−1.26421	+	1.30313i
$438$	−7.84981			−0.375079
$439$	−0.334274	−	2.32493i	−0.0159540	−	0.110963i	0.980288	−	0.197573i	$-0.0633058\pi$
$439$	−0.334274	−	2.32493i	−0.0159540	−	0.110963i	−0.996242	+	0.0866097i	$0.972397\pi$
$440$	−2.19202	+	4.79986i	−0.104501	+	0.228825i
$441$	−0.959493	+	0.281733i	−0.0456901	+	0.0134158i
$442$	−8.37695	+	9.66751i	−0.398451	+	0.459837i
$443$	−14.0501	−	4.12548i	−0.667540	−	0.196007i	−0.0696325	−	0.997573i	$-0.522183\pi$
$443$	−14.0501	−	4.12548i	−0.667540	−	0.196007i	−0.597907	+	0.801565i	$0.704001\pi$
$444$	0.136620	−	0.0878001i	0.00648368	−	0.00416681i
$445$	−6.07692	−	13.3066i	−0.288074	−	0.630793i
$446$	9.36221	+	10.8046i	0.443314	+	0.511611i
$447$	−11.6190	−	7.46706i	−0.549558	−	0.353180i
$448$	−0.142315	+	0.989821i	−0.00672374	+	0.0467647i
$449$	−4.67086	+	32.4865i	−0.220431	+	1.53313i	0.515981	+	0.856600i	$0.327428\pi$
$449$	−4.67086	+	32.4865i	−0.220431	+	1.53313i	−0.736412	+	0.676533i	$0.763481\pi$
$450$	2.18285	+	1.40283i	0.102901	+	0.0661301i
$451$	6.64717	+	7.67124i	0.313003	+	0.361225i
$452$	−3.49288	−	7.64835i	−0.164291	−	0.359748i
$453$	−6.41874	+	4.12508i	−0.301579	+	0.193813i
$454$	14.2263	+	4.17721i	0.667671	+	0.196046i
$455$	−2.95895	+	3.41482i	−0.138718	+	0.160089i
$456$	−7.59340	+	2.22962i	−0.355594	+	0.104412i
$457$	−8.14686	+	17.8391i	−0.381094	+	0.834479i	0.617748	+	0.786376i	$0.288045\pi$
$457$	−8.14686	+	17.8391i	−0.381094	+	0.834479i	−0.998842	+	0.0481036i	$0.984682\pi$
$458$	−0.248878	−	1.73099i	−0.0116293	−	0.0808837i
$459$	7.80197			0.364165
$460$	−1.14258	−	13.1672i	−0.0532732	−	0.613922i
$461$	16.5396			0.770324			0.385162	−	0.922849i	$-0.374146\pi$
$461$	16.5396			0.770324			0.385162	+	0.922849i	$0.374146\pi$
$462$	0.272494	+	1.89524i	0.0126776	+	0.0881743i
$463$	−11.5371	+	25.2627i	−0.536175	+	1.17406i	0.426770	+	0.904360i	$0.359651\pi$
$463$	−11.5371	+	25.2627i	−0.536175	+	1.17406i	−0.962945	+	0.269698i	$0.913076\pi$
$464$	−7.01645	+	2.06022i	−0.325731	+	0.0956432i
$465$	−5.69130	+	6.56811i	−0.263928	+	0.304589i
$466$	−21.9792	−	6.45369i	−1.01817	−	0.298961i
$467$	−26.1712	+	16.8192i	−1.21106	+	0.778299i	−0.980835	−	0.194839i	$-0.937582\pi$
$467$	−26.1712	+	16.8192i	−1.21106	+	0.778299i	−0.230222	+	0.973138i	$0.573945\pi$
$468$	0.681106	+	1.49141i	0.0314841	+	0.0689406i
$469$	−3.22005	−	3.71613i	−0.148688	−	0.171595i
$470$	−21.8866	−	14.0657i	−1.00955	−	0.648802i
$471$	−0.842118	+	5.85706i	−0.0388027	+	0.269879i
$472$	0.751316	−	5.22552i	0.0345821	−	0.240524i
$473$	16.0147	+	10.2920i	0.736359	+	0.473229i
$474$	−3.61908	−	4.17664i	−0.166230	−	0.191840i
$475$	8.53048	+	18.6792i	0.391405	+	0.857058i
$476$	6.56344	−	4.21807i	0.300835	−	0.193335i
$477$	−2.08667	−	0.612702i	−0.0955421	−	0.0280537i
$478$	13.1753	−	15.2051i	0.602624	−	0.695466i
$479$	29.6998	−	8.72066i	1.35702	−	0.398457i	0.479309	−	0.877646i	$-0.340887\pi$
$479$	29.6998	−	8.72066i	1.35702	−	0.398457i	0.877712	+	0.479189i	$0.159069\pi$
$480$	1.14483	−	2.50682i	0.0522539	−	0.114420i
$481$	−0.0378938	−	0.263558i	−0.00172781	−	0.0120172i
$482$	19.6744			0.896146
$483$	−2.93190	−	3.79526i	−0.133406	−	0.172690i
$484$	−7.33383			−0.333356
$485$	3.09312	+	21.5131i	0.140451	+	0.976859i
$486$	0.415415	−	0.909632i	0.0188436	−	0.0412617i
$487$	−34.4586	+	10.1180i	−1.56147	+	0.458488i	−0.944503	−	0.328503i	$-0.893456\pi$
$487$	−34.4586	+	10.1180i	−1.56147	+	0.458488i	−0.616964	+	0.786991i	$0.711638\pi$
$488$	3.88490	−	4.48342i	0.175861	−	0.202955i
$489$	−9.98313	−	2.93131i	−0.451453	−	0.132559i
$490$	2.31838	−	1.48993i	0.104734	−	0.0673082i
$491$	−7.24326	−	15.8605i	−0.326884	−	0.715776i	0.672827	−	0.739799i	$-0.265080\pi$
$491$	−7.24326	−	15.8605i	−0.326884	−	0.715776i	−0.999711	+	0.0240235i	$0.992352\pi$
$492$	−3.47161	−	4.00645i	−0.156512	−	0.180625i
$493$	47.9962	+	30.8453i	2.16164	+	1.38920i
$494$	−1.84662	+	12.8435i	−0.0830833	+	0.577857i
$495$	0.750954	−	5.22300i	0.0337529	−	0.234756i
$496$	2.65297	+	1.70496i	0.119122	+	0.0765550i
$497$	6.08643	+	7.02411i	0.273014	+	0.315075i
$498$	−0.930025	−	2.03647i	−0.0416754	−	0.0912564i
$499$	7.66667	−	4.92707i	0.343207	−	0.220566i	−0.357670	−	0.933848i	$-0.616429\pi$
$499$	7.66667	−	4.92707i	0.343207	−	0.220566i	0.700877	+	0.713282i	$0.252792\pi$
$500$	6.36001	+	1.86747i	0.284428	+	0.0835156i
$501$	10.5342	−	12.1572i	0.470635	−	0.543142i
$502$	−20.2287	+	5.93968i	−0.902851	+	0.265101i
$503$	−16.3237	+	35.7439i	−0.727838	+	1.59374i	0.0747464	+	0.997203i	$0.476185\pi$
$503$	−16.3237	+	35.7439i	−0.727838	+	1.59374i	−0.802584	+	0.596539i	$0.796542\pi$
$504$	−0.142315	−	0.989821i	−0.00633921	−	0.0440902i
$505$	49.8502			2.21831
$506$	−7.99183	+	4.52246i	−0.355280	+	0.201048i
$507$	−10.3118			−0.457962
$508$	1.17166	+	8.14908i	0.0519840	+	0.361557i
$509$	−14.2293	+	31.1577i	−0.630701	+	1.38104i	0.276774	+	0.960935i	$0.410735\pi$
$509$	−14.2293	+	31.1577i	−0.630701	+	1.38104i	−0.907475	+	0.420107i	$0.861993\pi$
$510$	−20.6302	+	6.05757i	−0.913520	+	0.268234i
$511$	5.14053	−	5.93249i	0.227404	−	0.262438i
$512$	−0.959493	−	0.281733i	−0.0424040	−	0.0124509i
$513$	6.65766	−	4.27862i	0.293943	−	0.188906i
$514$	−9.36356	−	20.5033i	−0.413009	−	0.904363i
$515$	−11.7195	−	13.5251i	−0.516425	−	0.595986i
$516$	−8.36399	−	5.37521i	−0.368204	−	0.236630i
$517$	−2.57248	+	17.8920i	−0.113137	+	0.786888i
$518$	−0.0231119	+	0.160747i	−0.00101548	+	0.00706282i
$519$	−6.63726	−	4.26551i	−0.291343	−	0.187235i
$520$	−2.95895	−	3.41482i	−0.129759	−	0.149750i
$521$	5.33238	+	11.6763i	0.233616	+	0.511547i	0.989740	−	0.142881i	$-0.0456367\pi$
$521$	5.33238	+	11.6763i	0.233616	+	0.511547i	−0.756124	+	0.654428i	$0.772909\pi$
$522$	6.15181	−	3.95353i	0.269257	−	0.173041i
$523$	13.1544	+	3.86249i	0.575203	+	0.168895i	0.556380	−	0.830928i	$-0.312190\pi$
$523$	13.1544	+	3.86249i	0.575203	+	0.168895i	0.0188229	+	0.999823i	$0.494008\pi$
$524$	−0.362573	+	0.418432i	−0.0158391	+	0.0182793i
$525$	−2.48965	+	0.731028i	−0.108657	+	0.0319047i
$526$	−10.6569	+	23.3354i	−0.464663	+	1.01747i
$527$	−3.50155	−	24.3538i	−0.152530	−	1.06087i
$528$	−1.91472			−0.0833277
$529$	11.8425	−	19.7169i	0.514892	−	0.857255i
$530$	5.99334			0.260334
$531$	0.751316	+	5.22552i	0.0326043	+	0.226768i
$532$	3.28758	−	7.19880i	0.142535	−	0.312108i
$533$	−8.33980	+	2.44879i	−0.361237	+	0.106069i
$534$	3.47611	−	4.01164i	0.150426	−	0.173601i
$535$	20.6825	+	6.07292i	0.894181	+	0.262555i
$536$	4.13657	−	2.65841i	0.178673	−	0.114826i
$537$	3.27385	+	7.16873i	0.141277	+	0.309354i
$538$	−6.18040	−	7.13256i	−0.266456	−	0.307506i
$539$	−1.61077	−	1.03518i	−0.0693807	−	0.0445883i
$540$	−0.392200	+	2.72781i	−0.0168776	+	0.117386i
$541$	2.09493	−	14.5706i	0.0900682	−	0.626438i	−0.893923	−	0.448221i	$-0.852058\pi$
$541$	2.09493	−	14.5706i	0.0900682	−	0.626438i	0.983991	−	0.178217i	$-0.0570330\pi$
$542$	−24.6489	−	15.8409i	−1.05876	−	0.680426i
$543$	16.1298	+	18.6147i	0.692194	+	0.798834i
$544$	3.24106	+	7.09692i	0.138959	+	0.304278i
$545$	4.23183	−	2.71963i	0.181272	−	0.116496i
$546$	−1.57316	−	0.461923i	−0.0673252	−	0.0197685i
$547$	6.92261	−	7.98912i	0.295990	−	0.341590i	−0.588203	−	0.808714i	$-0.700164\pi$
$547$	6.92261	−	7.98912i	0.295990	−	0.341590i	0.884192	+	0.467124i	$0.154710\pi$
$548$	10.0641	−	2.95509i	0.429918	−	0.126235i
$549$	−2.46441	+	5.39631i	−0.105179	+	0.230309i
$550$	0.707055	+	4.91768i	0.0301489	+	0.209690i
$551$	57.8723			2.46544
$552$	4.17388	−	2.36194i	0.177652	−	0.100531i
$553$	5.52649			0.235010
$554$	−2.67016	−	18.5713i	−0.113444	−	0.789021i
$555$	0.185920	−	0.407107i	0.00789185	−	0.0172807i
$556$	−13.6242	+	4.00043i	−0.577795	+	0.169656i
$557$	6.10581	−	7.04649i	0.258712	−	0.298569i	−0.611503	−	0.791242i	$-0.709435\pi$
$557$	6.10581	−	7.04649i	0.258712	−	0.298569i	0.870214	+	0.492673i	$0.163980\pi$
$558$	−3.02585	−	0.888469i	−0.128094	−	0.0376119i
$559$	−13.7134	+	8.81308i	−0.580016	+	0.372754i
$560$	1.14483	+	2.50682i	0.0483777	+	0.105932i
$561$	9.78272	+	11.2899i	0.413027	+	0.476658i
$562$	−21.0358	−	13.5189i	−0.887343	−	0.570261i
$563$	−4.32245	+	30.0633i	−0.182170	+	1.26702i	0.669450	+	0.742857i	$0.266530\pi$
$563$	−4.32245	+	30.0633i	−0.182170	+	1.26702i	−0.851620	+	0.524160i	$0.824379\pi$
$564$	1.34352	−	9.34441i	0.0565725	−	0.393471i
$565$	−19.4933	−	12.5276i	−0.820090	−	0.527040i
$566$	12.1551	+	14.0277i	0.510915	+	0.589628i
$567$	0.415415	+	0.909632i	0.0174458	+	0.0382010i
$568$	−7.81881	+	5.02484i	−0.328070	+	0.210838i
$569$	15.8799	+	4.66277i	0.665721	+	0.195473i	0.597097	−	0.802169i	$-0.296321\pi$
$569$	15.8799	+	4.66277i	0.665721	+	0.195473i	0.0686244	+	0.997643i	$0.478139\pi$
$570$	−14.2824	+	16.4827i	−0.598223	+	0.690386i
$571$	−19.6636	+	5.77376i	−0.822897	+	0.241624i	−0.665963	−	0.745985i	$-0.731979\pi$
$571$	−19.6636	+	5.77376i	−0.822897	+	0.241624i	−0.156934	+	0.987609i	$0.550161\pi$
$572$	−1.30413	+	2.85565i	−0.0545284	+	0.119401i
$573$	1.44022	+	10.0169i	0.0601659	+	0.418463i
$574$	5.30129			0.221272
$575$	−7.60757	−	9.84777i	−0.317258	−	0.410680i
$576$	1.00000			0.0416667
$577$	−0.745581	−	5.18563i	−0.0310389	−	0.215881i	0.968399	−	0.249406i	$-0.0802355\pi$
$577$	−0.745581	−	5.18563i	−0.0310389	−	0.215881i	−0.999438	+	0.0335259i	$0.989326\pi$
$578$	18.2246	−	39.9063i	0.758043	−	1.65988i
$579$	−1.09946	+	0.322831i	−0.0456920	+	0.0134164i
$580$	−13.1972	+	15.2304i	−0.547984	+	0.632407i
$581$	2.14810	+	0.630738i	0.0891181	+	0.0261674i
$582$	−6.63462	+	4.26381i	−0.275014	+	0.176741i
$583$	−1.72982	−	3.78778i	−0.0716418	−	0.156874i
$584$	5.14053	+	5.93249i	0.212717	+	0.245488i
$585$	3.80116	+	2.44286i	0.157159	+	0.101000i
$586$	0.0800781	−	0.556955i	0.00330800	−	0.0230076i
$587$	−5.80532	+	40.3769i	−0.239611	+	1.66653i	0.414436	+	0.910078i	$0.363979\pi$
$587$	−5.80532	+	40.3769i	−0.239611	+	1.66653i	−0.654047	+	0.756454i	$0.726930\pi$
$588$	0.841254	+	0.540641i	0.0346927	+	0.0222957i
$589$	−16.3436	−	18.8616i	−0.673428	−	0.777178i
$590$	−6.04382	−	13.2341i	−0.248820	−	0.544840i
$591$	23.2698	−	14.9546i	0.957191	−	0.615149i
$592$	−0.155822	−	0.0457534i	−0.00640423	−	0.00188045i
$593$	8.84737	−	10.2104i	0.363318	−	0.419291i	−0.544431	−	0.838806i	$-0.683254\pi$
$593$	8.84737	−	10.2104i	0.363318	−	0.419291i	0.907749	+	0.419515i	$0.137800\pi$
$594$	1.83716	−	0.539440i	0.0753798	−	0.0221335i
$595$	8.93190	−	19.5581i	0.366172	−	0.801805i
$596$	1.96558	+	13.6709i	0.0805133	+	0.559983i
$597$	−23.8643			−0.976702
$598$	−0.679771	−	7.83371i	−0.0277979	−	0.320344i
$599$	18.5093			0.756269			0.378134	−	0.925751i	$-0.376566\pi$
$599$	18.5093			0.756269			0.378134	+	0.925751i	$0.376566\pi$
$600$	−0.369273	−	2.56835i	−0.0150755	−	0.104852i
$601$	−6.75212	+	14.7851i	−0.275425	+	0.603096i	−0.995908	−	0.0903769i	$-0.971193\pi$
$601$	−6.75212	+	14.7851i	−0.275425	+	0.603096i	0.720483	+	0.693472i	$0.243920\pi$
$602$	9.53956	−	2.80107i	0.388804	−	0.114163i
$603$	−3.22005	+	3.71613i	−0.131130	+	0.151333i
$604$	7.32091	+	2.14961i	0.297884	+	0.0874665i
$605$	−17.0026	+	10.9269i	−0.691253	+	0.444241i
$606$	7.51437	+	16.4542i	0.305250	+	0.668405i
$607$	−11.2528	−	12.9864i	−0.456738	−	0.527103i	0.479938	−	0.877303i	$-0.340659\pi$
$607$	−11.2528	−	12.9864i	−0.456738	−	0.527103i	−0.936675	+	0.350199i	$0.886114\pi$
$608$	6.65766	+	4.27862i	0.270004	+	0.173521i
$609$	−1.04070	+	7.23824i	−0.0421713	+	0.293308i
$610$	2.32669	−	16.1825i	0.0942049	−	0.655209i
$611$	−13.0213	−	8.36828i	−0.526785	−	0.338544i
$612$	−5.10921	−	5.89634i	−0.206527	−	0.238345i
$613$	−6.92178	−	15.1566i	−0.279568	−	0.612169i	0.716804	−	0.697275i	$-0.245604\pi$
$613$	−6.92178	−	15.1566i	−0.279568	−	0.612169i	−0.996372	+	0.0851062i	$0.972877\pi$
$614$	4.74358	−	3.04851i	0.191435	−	0.123028i
$615$	−14.0178	−	4.11600i	−0.565253	−	0.165973i
$616$	1.25388	−	1.44705i	0.0505202	−	0.0583034i
$617$	−10.1693	+	2.98597i	−0.409399	+	0.120210i	−0.479946	−	0.877298i	$-0.659344\pi$
$617$	−10.1693	+	2.98597i	−0.409399	+	0.120210i	0.0705468	+	0.997508i	$0.477526\pi$
$618$	2.69766	−	5.90705i	0.108516	−	0.237616i
$619$	5.94965	+	41.3807i	0.239137	+	1.66323i	0.656374	+	0.754435i	$0.272089\pi$
$619$	5.94965	+	41.3807i	0.239137	+	1.66323i	−0.417238	+	0.908797i	$0.637002\pi$
$620$	8.69085			0.349033
$621$	−3.33937	+	3.44218i	−0.134004	+	0.138130i
$622$	3.65136			0.146406
$623$	0.755430	+	5.25413i	0.0302657	+	0.210502i
$624$	0.681106	−	1.49141i	0.0272661	−	0.0597043i
$625$	29.9755	−	8.80161i	1.19902	−	0.352065i
$626$	10.2055	−	11.7778i	0.407894	−	0.470734i
$627$	14.5393	+	4.26912i	0.580643	+	0.170492i
$628$	4.97794	−	3.19913i	0.198641	−	0.127659i
$629$	0.526348	+	1.15254i	0.0209869	+	0.0459548i
$630$	−1.80470	−	2.08274i	−0.0719011	−	0.0829783i
$631$	−10.4627	−	6.72396i	−0.416513	−	0.267677i	0.315556	−	0.948907i	$-0.397809\pi$
$631$	−10.4627	−	6.72396i	−0.416513	−	0.267677i	−0.732069	+	0.681230i	$0.761445\pi$
$632$	−0.786501	+	5.47024i	−0.0312853	+	0.217594i
$633$	−0.387204	+	2.69306i	−0.0153900	+	0.107040i
$634$	13.9389	+	8.95800i	0.553585	+	0.355768i
$635$	14.8579	+	17.1469i	0.589618	+	0.680456i
$636$	0.903430	+	1.97824i	0.0358233	+	0.0784421i
$637$	1.37930	−	0.886423i	0.0546499	−	0.0351214i
$638$	13.4346	+	3.94475i	0.531880	+	0.156174i
$639$	6.08643	−	7.02411i	0.240775	−	0.277870i
$640$	−2.64423	+	0.776415i	−0.104522	+	0.0306905i
$641$	−10.0878	+	22.0892i	−0.398444	+	0.872472i	0.598981	+	0.800763i	$0.295572\pi$
$641$	−10.0878	+	22.0892i	−0.398444	+	0.872472i	−0.997426	+	0.0717086i	$0.977155\pi$
$642$	1.11315	+	7.74213i	0.0439325	+	0.305557i
$643$	39.8758			1.57255			0.786273	−	0.617879i	$-0.212008\pi$
$643$	39.8758			1.57255			0.786273	+	0.617879i	$0.212008\pi$
$644$	−0.948276	+	4.70115i	−0.0373673	+	0.185251i
$645$	−27.3996			−1.07886
$646$	−8.78717	−	61.1161i	−0.345727	−	2.40458i
$647$	11.3543	−	24.8624i	0.446382	−	0.977440i	−0.544001	−	0.839085i	$-0.683091\pi$
$647$	11.3543	−	24.8624i	0.446382	−	0.977440i	0.990383	−	0.138356i	$-0.0441817\pi$
$648$	−0.959493	+	0.281733i	−0.0376924	+	0.0110675i
$649$	−6.61954	+	7.63936i	−0.259840	+	0.299871i
$650$	−4.08198	−	1.19858i	−0.160108	−	0.0470121i
$651$	2.65297	−	1.70496i	0.103978	−	0.0668227i
$652$	4.32222	+	9.46435i	0.169271	+	0.370653i
$653$	−2.50615	−	2.89226i	−0.0980734	−	0.113183i	0.704591	−	0.709614i	$-0.251130\pi$
$653$	−2.50615	−	2.89226i	−0.0980734	−	0.113183i	−0.802664	+	0.596431i	$0.796585\pi$
$654$	1.53557	+	0.986854i	0.0600457	+	0.0385890i
$655$	−0.217147	+	1.51029i	−0.00848463	+	0.0590119i
$656$	−0.754452	+	5.24733i	−0.0294564	+	0.204874i
$657$	−6.60368	−	4.24393i	−0.257634	−	0.165571i
$658$	6.18221	+	7.13465i	0.241008	+	0.278138i
$659$	−4.36336	−	9.55443i	−0.169973	−	0.372188i	0.805407	−	0.592723i	$-0.201947\pi$
$659$	−4.36336	−	9.55443i	−0.169973	−	0.372188i	−0.975379	+	0.220535i	$0.929220\pi$
$660$	−4.43905	+	2.85281i	−0.172790	+	0.111045i
$661$	13.4059	+	3.93633i	0.521430	+	0.153106i	0.531847	−	0.846840i	$-0.321498\pi$
$661$	13.4059	+	3.93633i	0.521430	+	0.153106i	−0.0104178	+	0.999946i	$0.503316\pi$
$662$	−3.87982	+	4.47755i	−0.150794	+	0.174025i
$663$	−12.2738	+	3.60391i	−0.476674	+	0.139964i
$664$	−0.930025	+	2.03647i	−0.0360920	+	0.0790304i
$665$	−3.10386	−	21.5878i	−0.120362	−	0.837139i
$666$	0.162400			0.00629287
$667$	−34.1519	+	7.97332i	−1.32237	+	0.308728i
$668$	−16.0862			−0.622395
$669$	2.03460	+	14.1510i	0.0786623	+	0.547108i
$670$	5.62927	−	12.3264i	0.217478	−	0.476210i
$671$	−10.8988	+	3.20018i	−0.420744	+	0.123542i
$672$	−0.654861	+	0.755750i	−0.0252618	+	0.0291537i
$673$	−35.0088	−	10.2795i	−1.34949	−	0.396246i	−0.474443	−	0.880286i	$-0.657350\pi$
$673$	−35.0088	−	10.2795i	−1.34949	−	0.396246i	−0.875046	+	0.484041i	$0.839169\pi$
$674$	−11.8138	+	7.59230i	−0.455052	+	0.292444i
$675$	1.07790	+	2.36027i	0.0414884	+	0.0908470i
$676$	6.75278	+	7.79312i	0.259722	+	0.299736i
$677$	−20.5518	−	13.2079i	−0.789871	−	0.507619i	0.0824250	−	0.996597i	$-0.473734\pi$
$677$	−20.5518	−	13.2079i	−0.789871	−	0.507619i	−0.872296	+	0.488978i	$0.837370\pi$
$678$	1.19661	−	8.32260i	0.0459555	−	0.319627i
$679$	1.12238	−	7.80631i	0.0430729	−	0.299579i
$680$	18.0879	+	11.6244i	0.693640	+	0.445775i
$681$	9.70952	+	11.2054i	0.372070	+	0.429391i
$682$	−2.50838	−	5.49259i	−0.0960510	−	0.210322i
$683$	−34.9560	+	22.4648i	−1.33755	+	0.859593i	−0.996751	−	0.0805418i	$-0.974335\pi$
$683$	−34.9560	+	22.4648i	−1.33755	+	0.859593i	−0.340802	+	0.940135i	$0.610699\pi$
$684$	−7.59340	−	2.22962i	−0.290341	−	0.0852518i
$685$	18.9295	−	21.8458i	0.723260	−	0.834686i
$686$	−0.959493	+	0.281733i	−0.0366336	+	0.0107566i
$687$	0.726472	−	1.59075i	0.0277166	−	0.0606910i
$688$	1.41494	+	9.84110i	0.0539439	+	0.375188i
$689$	3.56570			0.135842
$690$	6.15750	−	11.6946i	0.234412	−	0.445207i
$691$	−8.21055			−0.312344			−0.156172	−	0.987730i	$-0.549915\pi$
$691$	−8.21055			−0.312344			−0.156172	+	0.987730i	$0.549915\pi$
$692$	1.12283	+	7.80942i	0.0426834	+	0.296870i
$693$	−0.795405	+	1.74169i	−0.0302149	+	0.0661615i
$694$	−7.05175	+	2.07058i	−0.267681	+	0.0785981i
$695$	−25.6257	+	29.5736i	−0.972038	+	1.12179i
$696$	−7.01645	−	2.06022i	−0.265958	−	0.0780923i
$697$	34.7947	−	22.3612i	1.31794	−	0.846990i
$698$	7.10858	+	15.5656i	0.269064	+	0.589167i
$699$	−15.0010	−	17.3121i	−0.567389	−	0.654802i
$700$	2.18285	+	1.40283i	0.0825039	+	0.0530221i
$701$	−7.48047	+	52.0278i	−0.282534	+	1.96506i	−0.0213631	+	0.999772i	$0.506801\pi$
$701$	−7.48047	+	52.0278i	−0.282534	+	1.96506i	−0.261171	+	0.965293i	$0.584108\pi$
$702$	−0.233336	+	1.62289i	−0.00880672	+	0.0612521i
$703$	1.08120	+	0.694848i	0.0407784	+	0.0262067i
$704$	1.25388	+	1.44705i	0.0472573	+	0.0545378i
$705$	−10.8077	−	23.6656i	−0.407042	−	0.891298i
$706$	6.61519	−	4.25133i	0.248966	−	0.160001i
$707$	−17.3561	−	5.09621i	−0.652743	−	0.191663i
$708$	3.45718	−	3.98979i	0.129929	−	0.149946i
$709$	−8.66963	+	2.54563i	−0.325595	+	0.0956032i	−0.440445	−	0.897780i	$-0.645179\pi$
$709$	−8.66963	+	2.54563i	−0.325595	+	0.0956032i	0.114850	+	0.993383i	$0.463361\pi$
$710$	−10.6403	+	23.2989i	−0.399322	+	0.874394i
$711$	−0.786501	−	5.47024i	−0.0294961	−	0.205150i
$712$	−5.30816			−0.198932
$713$	12.2435	+	8.87897i	0.458521	+	0.332520i
$714$	7.80197			0.291982
$715$	1.23125	+	8.56352i	0.0460461	+	0.320258i
$716$	3.27385	−	7.16873i	0.122350	−	0.267908i
$717$	19.3043	−	5.66825i	0.720931	−	0.211685i
$718$	−10.6876	+	12.3341i	−0.398858	+	0.460306i
$719$	11.4258	+	3.35493i	0.426112	+	0.125118i	0.487755	−	0.872981i	$-0.337816\pi$
$719$	11.4258	+	3.35493i	0.426112	+	0.125118i	−0.0616432	+	0.998098i	$0.519634\pi$
$720$	2.31838	−	1.48993i	0.0864008	−	0.0555264i
$721$	2.69766	+	5.90705i	0.100466	+	0.219990i
$722$	−28.5722	−	32.9741i	−1.06335	−	1.22717i
$723$	16.5512	+	10.6368i	0.615546	+	0.395587i
$724$	3.50533	−	24.3801i	0.130275	−	0.906079i
$725$	−2.70037	+	18.7815i	−0.100289	+	0.697526i
$726$	−6.16961	−	3.96497i	−0.228976	−	0.147154i
$727$	−22.2106	−	25.6324i	−0.823744	−	0.950652i	0.175684	−	0.984447i	$-0.443786\pi$
$727$	−22.2106	−	25.6324i	−0.823744	−	0.950652i	−0.999429	+	0.0337948i	$0.989241\pi$
$728$	0.681106	+	1.49141i	0.0252435	+	0.0552755i
$729$	0.841254	−	0.540641i	0.0311575	−	0.0200237i
$730$	20.7567	+	6.09471i	0.768240	+	0.225576i
$731$	50.7972	−	58.6231i	1.87880	−	2.16826i
$732$	5.69211	−	1.67135i	0.210386	−	0.0617750i
$733$	−2.26318	+	4.95568i	−0.0835925	+	0.183042i	−0.946812	−	0.321786i	$-0.895717\pi$
$733$	−2.26318	+	4.95568i	−0.0835925	+	0.183042i	0.863220	+	0.504828i	$0.168444\pi$
$734$	−0.529068	−	3.67975i	−0.0195283	−	0.135822i
$735$	2.75586			0.101651
$736$	−4.51834	−	1.60767i	−0.166548	−	0.0592594i
$737$	−9.41498			−0.346805
$738$	−0.754452	−	5.24733i	−0.0277718	−	0.193157i
$739$	4.79445	−	10.4984i	0.176367	−	0.386189i	−0.800718	−	0.599042i	$-0.795548\pi$
$739$	4.79445	−	10.4984i	0.176367	−	0.386189i	0.977084	+	0.212853i	$0.0682756\pi$
$740$	−0.429423	+	0.126090i	−0.0157859	+	0.00463516i
$741$	−8.49720	+	9.80629i	−0.312152	+	0.360243i
$742$	−2.08667	−	0.612702i	−0.0766041	−	0.0224930i
$743$	36.9822	−	23.7670i	1.35674	−	0.871927i	0.358641	−	0.933476i	$-0.383240\pi$
$743$	36.9822	−	23.7670i	1.35674	−	0.871927i	0.998104	+	0.0615486i	$0.0196039\pi$
$744$	1.31005	+	2.86861i	0.0480287	+	0.105168i
$745$	24.9257	+	28.7657i	0.913206	+	1.05390i
$746$	11.2497	+	7.22974i	0.411881	+	0.264700i
$747$	0.318612	−	2.21600i	0.0116574	−	0.0810791i
$748$	2.12599	−	14.7866i	0.0777338	−	0.540651i
$749$	−6.58007	−	4.22875i	−0.240430	−	0.154515i
$750$	4.34075	+	5.00949i	0.158502	+	0.182921i
$751$	−8.27640	−	18.1228i	−0.302010	−	0.661310i	0.696401	−	0.717653i	$-0.254783\pi$
$751$	−8.27640	−	18.1228i	−0.302010	−	0.661310i	−0.998412	+	0.0563425i	$0.982056\pi$
$752$	−7.94185	+	5.10392i	−0.289610	+	0.186121i
$753$	−20.2287	−	5.93968i	−0.737175	−	0.216454i
$754$	−7.85158	+	9.06121i	−0.285938	+	0.329990i
$755$	20.1754	−	5.92403i	0.734258	−	0.215598i
$756$	0.415415	−	0.909632i	0.0151085	−	0.0330830i
$757$	−0.671391	−	4.66963i	−0.0244021	−	0.169720i	0.973976	−	0.226651i	$-0.0727777\pi$
$757$	−0.671391	−	4.66963i	−0.0244021	−	0.169720i	−0.998378	+	0.0569306i	$0.981869\pi$
$758$	−4.30942			−0.156525
$759$	−9.16818	−	0.516174i	−0.332784	−	0.0187359i
$760$	21.8098			0.791124
$761$	−1.45593	−	10.1262i	−0.0527773	−	0.367074i	−0.999045	−	0.0436902i	$-0.986089\pi$
$761$	−1.45593	−	10.1262i	−0.0527773	−	0.367074i	0.946268	−	0.323384i	$-0.104821\pi$
$762$	−3.42006	+	7.48889i	−0.123896	+	0.271294i
$763$	−1.75140	+	0.514258i	−0.0634050	+	0.0186174i
$764$	6.62714	−	7.64813i	0.239762	−	0.276700i
$765$	−20.6302	−	6.05757i	−0.745886	−	0.219012i
$766$	25.4744	−	16.3714i	0.920427	−	0.591522i
$767$	−3.59573	−	7.87355i	−0.129834	−	0.284297i
$768$	−0.654861	−	0.755750i	−0.0236303	−	0.0272708i
$769$	−45.7464	−	29.3994i	−1.64966	−	1.06017i	−0.931140	−	0.364661i	$-0.881185\pi$
$769$	−45.7464	−	29.3994i	−1.64966	−	1.06017i	−0.718517	−	0.695509i	$-0.755179\pi$
$770$	0.750954	−	5.22300i	0.0270625	−	0.188224i
$771$	3.20781	−	22.3108i	0.115527	−	0.803505i
$772$	0.963972	+	0.619507i	0.0346941	+	0.0222966i
$773$	−4.24063	−	4.89394i	−0.152525	−	0.176023i	0.674345	−	0.738416i	$-0.264426\pi$
$773$	−4.24063	−	4.89394i	−0.152525	−	0.176023i	−0.826870	+	0.562394i	$0.809881\pi$
$774$	−4.13018	−	9.04383i	−0.148456	−	0.325074i
$775$	6.88382	−	4.42396i	0.247274	−	0.158913i
$776$	7.56712	+	2.22191i	0.271644	+	0.0797618i
$777$	−0.106349	+	0.122734i	−0.00381526	+	0.00440305i
$778$	−8.38963	+	2.46342i	−0.300783	+	0.0883178i
$779$	17.4284	−	38.1629i	0.624438	−	1.36733i
$780$	−0.643042	−	4.47246i	−0.0230246	−	0.160140i
$781$	17.7959			0.636787
$782$	13.6058	+	34.8556i	0.486542	+	1.24643i
$783$	7.31267			0.261333
$784$	−0.142315	−	0.989821i	−0.00508267	−	0.0353508i
$785$	6.77426	−	14.8336i	0.241784	−	0.529432i
$786$	−0.531237	+	0.155985i	−0.0189486	+	0.00556381i
$787$	−33.9918	+	39.2286i	−1.21168	+	1.39835i	−0.318935	+	0.947777i	$0.603325\pi$
$787$	−33.9918	+	39.2286i	−1.21168	+	1.39835i	−0.892741	+	0.450571i	$0.851220\pi$
$788$	−26.5404	−	7.79296i	−0.945462	−	0.277613i
$789$	−21.5812	+	13.8694i	−0.768311	+	0.493764i
$790$	6.32686	+	13.8539i	0.225100	+	0.492900i
$791$	5.50619	+	6.35448i	0.195777	+	0.225939i
$792$	−1.61077	−	1.03518i	−0.0572362	−	0.0367835i
$793$	1.38425	−	9.62765i	0.0491561	−	0.341888i
$794$	−4.76749	+	33.1586i	−0.169192	+	1.17676i
$795$	5.04192	+	3.24025i	0.178819	+	0.114920i
$796$	15.6278	+	18.0355i	0.553913	+	0.639250i
$797$	−22.7531	−	49.8224i	−0.805957	−	1.76480i	−0.623886	−	0.781515i	$-0.714447\pi$
$797$	−22.7531	−	49.8224i	−0.805957	−	1.76480i	−0.182071	−	0.983285i	$-0.558280\pi$
$798$	6.65766	−	4.27862i	0.235679	−	0.151461i
$799$	70.6710	+	20.7509i	2.50016	+	0.734113i
$800$	−1.69921	+	1.96099i	−0.0600760	+	0.0693314i
$801$	5.09315	−	1.49548i	0.179957	−	0.0528403i
$802$	9.41978	−	20.6265i	0.332624	−	0.728345i
$803$	−2.13902	−	14.8772i	−0.0754846	−	0.525007i
$804$	4.91715			0.173414
$805$	4.80592	+	12.3119i	0.169386	+	0.433937i
$806$	5.17056			0.182125
$807$	−1.34313	−	9.34167i	−0.0472804	−	0.328842i
$808$	7.51437	−	16.4542i	0.264354	−	0.578856i
$809$	3.18598	−	0.935487i	0.112013	−	0.0328900i	−0.225246	−	0.974302i	$-0.572318\pi$
$809$	3.18598	−	0.935487i	0.112013	−	0.0328900i	0.337259	+	0.941412i	$0.390500\pi$
$810$	−1.80470	+	2.08274i	−0.0634108	+	0.0731800i
$811$	−24.3612	−	7.15309i	−0.855436	−	0.251179i	−0.175527	−	0.984475i	$-0.556163\pi$
$811$	−24.3612	−	7.15309i	−0.855436	−	0.251179i	−0.679910	+	0.733296i	$0.737981\pi$
$812$	6.15181	−	3.95353i	0.215886	−	0.138742i
$813$	−12.1718	−	26.6524i	−0.426882	−	0.934742i
$814$	0.203630	+	0.235001i	0.00713722	+	0.00823679i
$815$	24.1218	+	15.5021i	0.844948	+	0.543015i
$816$	−1.11034	+	7.72256i	−0.0388696	+	0.270344i
$817$	11.1978	−	77.8822i	0.391760	−	2.72475i
$818$	−31.6233	−	20.3231i	−1.10568	−	0.710580i
$819$	−1.07370	−	1.23911i	−0.0375180	−	0.0432980i
$820$	6.06905	+	13.2894i	0.211940	+	0.464085i
$821$	15.1677	−	9.74770i	0.529357	−	0.340197i	−0.248507	−	0.968630i	$-0.579940\pi$
$821$	15.1677	−	9.74770i	0.529357	−	0.340197i	0.777864	+	0.628433i	$0.216303\pi$
$822$	10.0641	+	2.95509i	0.351026	+	0.103071i
$823$	−16.8473	+	19.4428i	−0.587258	+	0.677732i	−0.969149	−	0.246475i	$-0.920728\pi$
$823$	−16.8473	+	19.4428i	−0.587258	+	0.677732i	0.381891	+	0.924207i	$0.375273\pi$
$824$	−6.23084	+	1.82954i	−0.217062	+	0.0637350i
$825$	−2.06388	+	4.51928i	−0.0718552	+	0.157341i
$826$	0.751316	+	5.22552i	0.0261416	+	0.181819i
$827$	−36.5288			−1.27023			−0.635116	−	0.772417i	$-0.719048\pi$
$827$	−36.5288			−1.27023			−0.635116	+	0.772417i	$0.719048\pi$
$828$	4.78825	+	0.269582i	0.166403	+	0.00936861i
$829$	−39.1569			−1.35997			−0.679987	−	0.733224i	$-0.738015\pi$
$829$	−39.1569			−1.35997			−0.679987	+	0.733224i	$0.738015\pi$
$830$	0.878050	+	6.10697i	0.0304776	+	0.211976i
$831$	7.79415	−	17.0668i	0.270376	−	0.592041i
$832$	−1.57316	+	0.461923i	−0.0545397	+	0.0160143i
$833$	−5.10921	+	5.89634i	−0.177023	+	0.204296i
$834$	−13.6242	−	4.00043i	−0.471768	−	0.138524i
$835$	−37.2939	+	23.9674i	−1.29061	+	0.829425i
$836$	−6.29482	−	13.7837i	−0.217711	−	0.476720i
$837$	−2.06516	−	2.38333i	−0.0713825	−	0.0823798i
$838$	−7.90335	−	5.07917i	−0.273017	−	0.175457i
$839$	4.20492	−	29.2458i	0.145170	−	1.00968i	−0.778816	−	0.627252i	$-0.784179\pi$
$839$	4.20492	−	29.2458i	0.145170	−	1.00968i	0.923986	−	0.382426i	$-0.124911\pi$
$840$	−0.392200	+	2.72781i	−0.0135322	+	0.0941183i
$841$	20.5898	+	13.2323i	0.709993	+	0.456285i
$842$	−7.79762	−	8.99894i	−0.268724	−	0.310124i
$843$	−10.3876	−	22.7457i	−0.357768	−	0.783403i
$844$	2.28885	−	1.47095i	0.0787853	−	0.0506322i
$845$	27.2667	+	8.00622i	0.938003	+	0.275422i
$846$	6.18221	−	7.13465i	0.212549	−	0.245294i
$847$	7.03676	−	2.06618i	0.241786	−	0.0709947i
$848$	0.903430	−	1.97824i	0.0310239	−	0.0679329i
$849$	2.64155	+	18.3724i	0.0906577	+	0.630538i
$850$	20.2442			0.694371
$851$	−0.733779	−	0.261085i	−0.0251536	−	0.00894989i
$852$	−9.29423			−0.318415
$853$	−6.96907	−	48.4709i	−0.238616	−	1.65961i	−0.658908	−	0.752224i	$-0.728981\pi$
$853$	−6.96907	−	48.4709i	−0.238616	−	1.65961i	0.420291	−	0.907389i	$-0.361928\pi$
$854$	−2.46441	+	5.39631i	−0.0843305	+	0.184658i
$855$	−20.9263	+	6.14453i	−0.715666	+	0.210138i
$856$	5.12215	−	5.91128i	0.175072	−	0.202043i
$857$	−24.0252	−	7.05443i	−0.820684	−	0.240975i	−0.155674	−	0.987809i	$-0.549755\pi$
$857$	−24.0252	−	7.05443i	−0.820684	−	0.240975i	−0.665011	+	0.746834i	$0.731573\pi$
$858$	−2.64098	+	1.69726i	−0.0901617	+	0.0579434i
$859$	5.50323	+	12.0504i	0.187768	+	0.411154i	0.979981	−	0.199090i	$-0.0637986\pi$
$859$	5.50323	+	12.0504i	0.187768	+	0.411154i	−0.792213	+	0.610244i	$0.791071\pi$
$860$	17.9429	+	20.7072i	0.611848	+	0.706110i
$861$	4.45973	+	2.86609i	0.151987	+	0.0976762i
$862$	−5.15154	+	35.8298i	−0.175462	+	1.22037i
$863$	−4.36168	+	30.3362i	−0.148473	+	1.03265i	0.770247	+	0.637746i	$0.220133\pi$
$863$	−4.36168	+	30.3362i	−0.148473	+	1.03265i	−0.918720	+	0.394909i	$0.870776\pi$
$864$	0.841254	+	0.540641i	0.0286200	+	0.0183930i
$865$	14.2386	+	16.4322i	0.484128	+	0.558713i
$866$	8.68948	+	19.0273i	0.295280	+	0.646574i
$867$	36.9065	−	23.7183i	1.25341	−	0.805517i
$868$	−3.02585	−	0.888469i	−0.102704	−	0.0301566i
$869$	6.92954	−	7.99712i	0.235069	−	0.271284i
$870$	−19.3364	+	5.67767i	−0.655564	+	0.192491i
$871$	3.34910	−	7.33350i	0.113480	−	0.248486i
$872$	−0.259773	−	1.80676i	−0.00879703	−	0.0611847i
$873$	−7.88658			−0.266920
$874$	30.7251	+	22.2819i	1.03929	+	0.753695i
$875$	−6.62851			−0.224084
$876$	1.11715	+	7.76991i	0.0377448	+	0.262521i
$877$	0.294958	−	0.645868i	0.00996002	−	0.0218094i	−0.904587	−	0.426290i	$-0.859820\pi$
$877$	0.294958	−	0.645868i	0.00996002	−	0.0218094i	0.914547	+	0.404480i	$0.132548\pi$
$878$	−2.25369	+	0.661744i	−0.0760585	+	0.0223328i
$879$	0.368479	−	0.425247i	0.0124285	−	0.0143432i
$880$	5.06297	+	1.48662i	0.170673	+	0.0501140i
$881$	−1.64780	+	1.05898i	−0.0555158	+	0.0356779i	−0.568104	−	0.822957i	$-0.692323\pi$
$881$	−1.64780	+	1.05898i	−0.0555158	+	0.0356779i	0.512589	+	0.858634i	$0.328687\pi$
$882$	0.415415	+	0.909632i	0.0139878	+	0.0306289i
$883$	11.0707	+	12.7763i	0.372560	+	0.429957i	0.910809	−	0.412829i	$-0.135459\pi$
$883$	11.0707	+	12.7763i	0.372560	+	0.429957i	−0.538249	+	0.842786i	$0.680914\pi$
$884$	10.7613	+	6.91585i	0.361941	+	0.232605i
$885$	2.07052	−	14.4008i	0.0695998	−	0.484077i
$886$	−2.08395	+	14.4942i	−0.0700117	+	0.486942i
$887$	−6.90420	−	4.43706i	−0.231820	−	0.148982i	0.419574	−	0.907721i	$-0.362179\pi$
$887$	−6.90420	−	4.43706i	−0.231820	−	0.148982i	−0.651395	+	0.758739i	$0.725816\pi$
$888$	−0.106349	−	0.122734i	−0.00356885	−	0.00411868i
$889$	−3.42006	−	7.48889i	−0.114705	−	0.251169i
$890$	−12.3063	+	7.90879i	−0.412509	+	0.265103i
$891$	1.83716	+	0.539440i	0.0615473	+	0.0180719i
$892$	9.36221	−	10.8046i	0.313470	−	0.361764i
$893$	71.6855	−	21.0488i	2.39886	−	0.704370i
$894$	−5.73750	+	12.5634i	−0.191891	+	0.420182i
$895$	−3.09089	−	21.4976i	−0.103317	−	0.718586i
$896$	1.00000			0.0334077
$897$	3.66336	−	6.95765i	0.122316	−	0.232309i
$898$	32.8206			1.09524
$899$	−3.28195	−	22.8264i	−0.109459	−	0.761304i
$900$	1.07790	−	2.36027i	0.0359300	−	0.0786758i
$901$	−16.2802	+	4.78028i	−0.542371	+	0.159254i
$902$	6.64717	−	7.67124i	0.221327	−	0.255424i
$903$	9.53956	+	2.80107i	0.317457	+	0.0932137i
$904$	−7.07341	+	4.54581i	−0.235258	+	0.151191i
$905$	−28.1980	−	61.7449i	−0.937332	−	2.05247i
$906$	4.99657	+	5.76635i	0.166000	+	0.191574i
$907$	−3.75819	−	2.41524i	−0.124789	−	0.0801967i	0.476757	−	0.879035i	$-0.341812\pi$
$907$	−3.75819	−	2.41524i	−0.124789	−	0.0801967i	−0.601546	+	0.798838i	$0.705448\pi$
$908$	2.11008	−	14.6759i	0.0700255	−	0.487038i
$909$	−2.57431	+	17.9047i	−0.0853844	+	0.593861i
$910$	3.80116	+	2.44286i	0.126007	+	0.0809799i
$911$	7.24047	+	8.35594i	0.239887	+	0.276845i	0.862908	−	0.505360i	$-0.168640\pi$
$911$	7.24047	+	8.35594i	0.239887	+	0.276845i	−0.623021	+	0.782205i	$0.714095\pi$
$912$	3.28758	+	7.19880i	0.108863	+	0.238376i
$913$	3.60616	−	2.31754i	0.119347	−	0.0766994i
$914$	18.8170	+	5.52516i	0.622410	+	0.182756i
$915$	10.7062	−	12.3557i	0.353938	−	0.408466i
$916$	−1.67795	+	0.492690i	−0.0554410	+	0.0162789i
$917$	0.230000	−	0.503631i	0.00759529	−	0.0166314i
$918$	−1.11034	−	7.72256i	−0.0366466	−	0.254882i
$919$	27.2487			0.898853			0.449426	−	0.893317i	$-0.351628\pi$
$919$	27.2487			0.898853			0.449426	+	0.893317i	$0.351628\pi$
$920$	−12.8705	+	3.00483i	−0.424329	+	0.0990664i
$921$	5.63870			0.185802
$922$	−2.35382	−	16.3712i	−0.0775191	−	0.539157i
$923$	−6.33036	+	13.8615i	−0.208366	+	0.456258i
$924$	1.83716	−	0.539440i	0.0604383	−	0.0177463i
$925$	−0.275951	+	0.318464i	−0.00907321	+	0.0104710i
$926$	26.6475	+	7.82441i	0.875691	+	0.257126i
$927$	5.46301	−	3.51086i	0.179429	−	0.115312i
$928$	3.03779	+	6.65184i	0.0997204	+	0.218357i
$929$	30.4027	+	35.0866i	0.997481	+	1.15115i	0.988504	+	0.151195i	$0.0483121\pi$
$929$	30.4027	+	35.0866i	0.997481	+	1.15115i	0.00897729	+	0.999960i	$0.497142\pi$
$930$	7.31121	+	4.69863i	0.239744	+	0.154074i
$931$	−1.12628	+	7.83342i	−0.0369122	+	0.256730i
$932$	−3.26003	+	22.6740i	−0.106786	+	0.742711i
$933$	3.07172	+	1.97407i	0.100563	+	0.0646282i
$934$	20.3725	+	23.5112i	0.666610	+	0.769309i
$935$	−17.1021	−	37.4484i	−0.559299	−	1.22469i
$936$	1.37930	−	0.886423i	0.0450839	−	0.0289737i
$937$	−31.6232	−	9.28540i	−1.03308	−	0.303341i	−0.279119	−	0.960256i	$-0.590043\pi$
$937$	−31.6232	−	9.28540i	−1.03308	−	0.303341i	−0.753964	+	0.656916i	$0.771861\pi$
$938$	−3.22005	+	3.71613i	−0.105138	+	0.121336i
$939$	14.9530	−	4.39058i	0.487971	−	0.143281i
$940$	−10.8077	+	23.6656i	−0.352509	+	0.771887i
$941$	−5.49346	−	38.2078i	−0.179082	−	1.24554i	−0.858894	−	0.512154i	$-0.828848\pi$
$941$	−5.49346	−	38.2078i	−0.179082	−	1.24554i	0.679812	−	0.733386i	$-0.262061\pi$
$942$	5.91729			0.192796
$943$	−5.02709	+	24.9221i	−0.163704	+	0.811576i
$944$	−5.27925			−0.171825
$945$	−0.392200	−	2.72781i	−0.0127583	−	0.0887356i
$946$	7.90816	−	17.3164i	0.257116	−	0.563006i
$947$	−42.8978	+	12.5959i	−1.39399	+	0.409312i	−0.890616	−	0.454756i	$-0.849726\pi$
$947$	−42.8978	+	12.5959i	−1.39399	+	0.409312i	−0.503374	+	0.864069i	$0.667908\pi$
$948$	−3.61908	+	4.17664i	−0.117542	+	0.135651i
$949$	12.3490	+	3.62601i	0.400867	+	0.117705i
$950$	17.2750	−	11.1020i	0.560475	−	0.360196i
$951$	6.88311	+	15.0719i	0.223200	+	0.488740i
$952$	−5.10921	−	5.89634i	−0.165590	−	0.191101i
$953$	−34.6514	−	22.2691i	−1.12247	−	0.721367i	−0.158494	−	0.987360i	$-0.550664\pi$
$953$	−34.6514	−	22.2691i	−1.12247	−	0.721367i	−0.963975	+	0.265993i	$0.914300\pi$
$954$	−0.309501	+	2.15263i	−0.0100205	+	0.0696939i
$955$	3.96903	−	27.6052i	0.128435	−	0.893284i
$956$	−16.9254	−	10.8773i	−0.547406	−	0.351797i
$957$	9.16919	+	10.5818i	0.296398	+	0.342061i
$958$	−12.8586	−	28.1565i	−0.415443	−	0.909694i
$959$	−8.82390	+	5.67078i	−0.284939	+	0.183119i
$960$	−2.64423	−	0.776415i	−0.0853421	−	0.0250587i
$961$	13.7880	−	15.9122i	0.444774	−	0.513297i
$962$	−0.255482	+	0.0750163i	−0.00823707	+	0.00241862i
$963$	−3.24927	+	7.11491i	−0.104706	+	0.229275i
$964$	−2.79997	−	19.4742i	−0.0901808	−	0.627221i
$965$	3.15787			0.101656
$966$	−3.33937	+	3.44218i	−0.107443	+	0.110750i
$967$	−34.8271			−1.11996			−0.559982	−	0.828505i	$-0.689192\pi$
$967$	−34.8271			−1.11996			−0.559982	+	0.828505i	$0.689192\pi$
$968$	1.04371	+	7.25918i	0.0335462	+	0.233319i
$969$	25.6496	−	56.1649i	0.823985	−	1.80428i
$970$	20.8539	−	6.12326i	0.669579	−	0.196606i
$971$	−26.7578	+	30.8801i	−0.858697	+	0.990989i	0.141302	+	0.989967i	$0.454871\pi$
$971$	−26.7578	+	30.8801i	−0.858697	+	0.990989i	−0.999999	+	0.00102293i	$0.999674\pi$
$972$	−0.959493	−	0.281733i	−0.0307758	−	0.00903658i
$973$	11.9453	−	7.67677i	0.382948	−	0.246106i
$974$	14.9189	+	32.6679i	0.478033	+	1.04675i
$975$	−2.78598	−	3.21519i	−0.0892228	−	0.102969i
$976$	−4.99066	−	3.20730i	−0.159747	−	0.102663i
$977$	−5.12398	+	35.6380i	−0.163931	+	1.14016i	0.727204	+	0.686422i	$0.240820\pi$
$977$	−5.12398	+	35.6380i	−0.163931	+	1.14016i	−0.891134	+	0.453740i	$0.850089\pi$
$978$	−1.48073	+	10.2987i	−0.0473485	+	0.329316i
$979$	8.55022	+	5.49490i	0.273266	+	0.175618i
$980$	−1.80470	−	2.08274i	−0.0576491	−	0.0665307i
$981$	0.758274	+	1.66039i	0.0242098	+	0.0530121i
$982$	−14.6683	+	9.42673i	−0.468083	+	0.300819i
$983$	25.9731	+	7.62640i	0.828414	+	0.243244i	0.668335	−	0.743860i	$-0.267007\pi$
$983$	25.9731	+	7.62640i	0.828414	+	0.243244i	0.160078	+	0.987104i	$0.448825\pi$
$984$	−3.47161	+	4.00645i	−0.110671	+	0.127721i
$985$	−73.1415	+	21.4763i	−2.33048	+	0.684292i
$986$	23.7008	−	51.8975i	0.754786	−	1.65275i
$987$	1.34352	+	9.34441i	0.0427648	+	0.297436i
$988$	12.9756			0.412808
$989$	4.12209	+	47.5031i	0.131075	+	1.51051i
$990$	−5.27671			−0.167705
$991$	5.39853	+	37.5476i	0.171490	+	1.19274i	0.875739	+	0.482785i	$0.160375\pi$
$991$	5.39853	+	37.5476i	0.171490	+	1.19274i	−0.704249	+	0.709953i	$0.748716\pi$
$992$	1.31005	−	2.86861i	0.0415941	−	0.0910784i
$993$	−5.68466	+	1.66917i	−0.180397	+	0.0529694i
$994$	6.08643	−	7.02411i	0.193050	−	0.222791i
$995$	63.1027	+	18.5286i	2.00049	+	0.587397i
$996$	−1.88339	+	1.21038i	−0.0596773	+	0.0383523i
$997$	−2.88655	−	6.32066i	−0.0914180	−	0.200177i	0.858400	−	0.512981i	$-0.171459\pi$
$997$	−2.88655	−	6.32066i	−0.0914180	−	0.200177i	−0.949818	+	0.312804i	$0.898732\pi$
$998$	−5.96800	−	6.88744i	−0.188914	−	0.218018i
$999$	0.136620	+	0.0878001i	0.00432245	+	0.00277787i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.i.463.1	yes	40
23.8	even	11	inner	966.2.q.i.169.1	✓	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.i.169.1	✓	40	23.8	even	11	inner
966.2.q.i.463.1	yes	40	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.142315 - 0.989821i) q^{2} +(0.415415 - 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.80470 + 2.08274i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(0.841254 - 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +O(q^{10})\)	\(q+(-0.142315 - 0.989821i) q^{2} +(0.415415 - 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.80470 + 2.08274i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(0.841254 - 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +(2.31838 + 1.48993i) q^{10} +(0.272494 - 1.89524i) q^{11} +(-0.142315 + 0.989821i) q^{12} +(1.37930 + 0.886423i) q^{13} +(-0.654861 - 0.755750i) q^{14} +(1.14483 + 2.50682i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-7.48594 - 2.19807i) q^{17} +(-0.654861 + 0.755750i) q^{18} +(-7.59340 + 2.22962i) q^{19} +(1.14483 - 2.50682i) q^{20} +(-0.142315 - 0.989821i) q^{21} -1.91472 q^{22} +(4.17388 - 2.36194i) q^{23} +1.00000 q^{24} +(-0.369273 - 2.56835i) q^{25} +(0.681106 - 1.49141i) q^{26} +(-0.959493 + 0.281733i) q^{27} +(-0.654861 + 0.755750i) q^{28} +(-7.01645 - 2.06022i) q^{29} +(2.31838 - 1.48993i) q^{30} +(1.31005 + 2.86861i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-1.61077 - 1.03518i) q^{33} +(-1.11034 + 7.72256i) q^{34} +(-0.392200 + 2.72781i) q^{35} +(0.841254 + 0.540641i) q^{36} +(-0.106349 - 0.122734i) q^{37} +(3.28758 + 7.19880i) q^{38} +(1.37930 - 0.886423i) q^{39} +(-2.64423 - 0.776415i) q^{40} +(-3.47161 + 4.00645i) q^{41} +(-0.959493 + 0.281733i) q^{42} +(-4.13018 + 9.04383i) q^{43} +(0.272494 + 1.89524i) q^{44} +2.75586 q^{45} +(-2.93190 - 3.79526i) q^{46} -9.44050 q^{47} +(-0.142315 - 0.989821i) q^{48} +(0.415415 - 0.909632i) q^{49} +(-2.48965 + 0.731028i) q^{50} +(-5.10921 + 5.89634i) q^{51} +(-1.57316 - 0.461923i) q^{52} +(1.82953 - 1.17577i) q^{53} +(0.415415 + 0.909632i) q^{54} +(3.45551 + 3.98787i) q^{55} +(0.841254 + 0.540641i) q^{56} +(-1.12628 + 7.83342i) q^{57} +(-1.04070 + 7.23824i) q^{58} +(-4.44119 - 2.85418i) q^{59} +(-1.80470 - 2.08274i) q^{60} +(-2.46441 - 5.39631i) q^{61} +(2.65297 - 1.70496i) q^{62} +(-0.959493 - 0.281733i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-4.33542 + 1.27299i) q^{65} +(-0.795405 + 1.74169i) q^{66} +(-0.699783 - 4.86710i) q^{67} +7.80197 q^{68} +(-0.414601 - 4.77788i) q^{69} +2.75586 q^{70} +(1.32271 + 9.19963i) q^{71} +(0.415415 - 0.909632i) q^{72} +(7.53184 - 2.21155i) q^{73} +(-0.106349 + 0.122734i) q^{74} +(-2.48965 - 0.731028i) q^{75} +(6.65766 - 4.27862i) q^{76} +(-0.795405 - 1.74169i) q^{77} +(-1.07370 - 1.23911i) q^{78} +(4.64918 + 2.98785i) q^{79} +(-0.392200 + 2.72781i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(4.45973 + 2.86609i) q^{82} +(1.46609 + 1.69196i) q^{83} +(0.415415 + 0.909632i) q^{84} +(18.0879 - 11.6244i) q^{85} +(9.53956 + 2.80107i) q^{86} +(-4.78878 + 5.52655i) q^{87} +(1.83716 - 0.539440i) q^{88} +(-2.20509 + 4.82848i) q^{89} +(-0.392200 - 2.72781i) q^{90} +1.63958 q^{91} +(-3.33937 + 3.44218i) q^{92} +3.15359 q^{93} +(1.34352 + 9.34441i) q^{94} +(9.06012 - 19.8389i) q^{95} +(-0.959493 + 0.281733i) q^{96} +(5.16461 - 5.96028i) q^{97} +(-0.959493 - 0.281733i) q^{98} +(-1.61077 + 1.03518i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} - 8 q^{13} - 4 q^{14} - 7 q^{15} - 4 q^{16} - 7 q^{17} - 4 q^{18} + 20 q^{19} - 7 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{23} + 40 q^{24} - 22 q^{25} + 14 q^{26} - 4 q^{27} - 4 q^{28} + 15 q^{29} + 4 q^{30} - 16 q^{31} - 4 q^{32} - q^{33} - 7 q^{34} - 7 q^{35} - 4 q^{36} - 16 q^{37} - 13 q^{38} - 8 q^{39} + 4 q^{40} - 17 q^{41} - 4 q^{42} + 26 q^{43} - q^{44} + 4 q^{45} - 20 q^{46} + 72 q^{47} - 4 q^{48} - 4 q^{49} + 11 q^{50} - 7 q^{51} - 19 q^{52} + 6 q^{53} - 4 q^{54} + 49 q^{55} - 4 q^{56} + 9 q^{57} - 7 q^{58} - 51 q^{59} + 4 q^{60} - 42 q^{61} - 16 q^{62} - 4 q^{63} - 4 q^{64} + 8 q^{65} - 12 q^{66} + 54 q^{67} + 4 q^{68} + 2 q^{69} + 4 q^{70} - 59 q^{71} - 4 q^{72} - 27 q^{73} - 16 q^{74} + 11 q^{75} - 2 q^{76} - 12 q^{77} - 8 q^{78} - 6 q^{79} - 7 q^{80} - 4 q^{81} - 6 q^{82} - 24 q^{83} - 4 q^{84} + 35 q^{85} - 7 q^{86} - 29 q^{87} - q^{88} + 22 q^{89} - 7 q^{90} + 36 q^{91} - 9 q^{92} + 50 q^{93} - 16 q^{94} + 22 q^{95} - 4 q^{96} + 16 q^{97} - 4 q^{98} - q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 4 * q^10 - q^11 - 4 * q^12 - 8 * q^13 - 4 * q^14 - 7 * q^15 - 4 * q^16 - 7 * q^17 - 4 * q^18 + 20 * q^19 - 7 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^23 + 40 * q^24 - 22 * q^25 + 14 * q^26 - 4 * q^27 - 4 * q^28 + 15 * q^29 + 4 * q^30 - 16 * q^31 - 4 * q^32 - q^33 - 7 * q^34 - 7 * q^35 - 4 * q^36 - 16 * q^37 - 13 * q^38 - 8 * q^39 + 4 * q^40 - 17 * q^41 - 4 * q^42 + 26 * q^43 - q^44 + 4 * q^45 - 20 * q^46 + 72 * q^47 - 4 * q^48 - 4 * q^49 + 11 * q^50 - 7 * q^51 - 19 * q^52 + 6 * q^53 - 4 * q^54 + 49 * q^55 - 4 * q^56 + 9 * q^57 - 7 * q^58 - 51 * q^59 + 4 * q^60 - 42 * q^61 - 16 * q^62 - 4 * q^63 - 4 * q^64 + 8 * q^65 - 12 * q^66 + 54 * q^67 + 4 * q^68 + 2 * q^69 + 4 * q^70 - 59 * q^71 - 4 * q^72 - 27 * q^73 - 16 * q^74 + 11 * q^75 - 2 * q^76 - 12 * q^77 - 8 * q^78 - 6 * q^79 - 7 * q^80 - 4 * q^81 - 6 * q^82 - 24 * q^83 - 4 * q^84 + 35 * q^85 - 7 * q^86 - 29 * q^87 - q^88 + 22 * q^89 - 7 * q^90 + 36 * q^91 - 9 * q^92 + 50 * q^93 - 16 * q^94 + 22 * q^95 - 4 * q^96 + 16 * q^97 - 4 * q^98 - q^99

Introduction

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