LMFDB - Embedded newform 370.2.o.c.81.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(71,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("370.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.o (of order $9$, degree $6$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			81.2
Character	$\chi$	$=$	370.81
Dual form			370.2.o.c.201.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 - 0.342020i) q^{2} +(-2.36335 - 0.860188i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.173648 + 0.984808i) q^{5} -2.51502 q^{6} +(0.832620 + 4.72202i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.54735 + 2.13748i) q^{9} +O(q^{10})$	\(q+(0.939693 - 0.342020i) q^{2} +(-2.36335 - 0.860188i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.173648 + 0.984808i) q^{5} -2.51502 q^{6} +(0.832620 + 4.72202i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.54735 + 2.13748i) q^{9} +(0.500000 + 0.866025i) q^{10} +(-0.474234 + 0.821397i) q^{11} +(-2.36335 + 0.860188i) q^{12} +(1.77361 - 1.48823i) q^{13} +(2.39743 + 4.15248i) q^{14} +(0.436729 - 2.47681i) q^{15} +(0.173648 - 0.984808i) q^{16} +(4.15692 + 3.48807i) q^{17} +(3.12479 + 1.13733i) q^{18} +(-0.227673 - 0.0828663i) q^{19} +(0.766044 + 0.642788i) q^{20} +(2.09406 - 11.8760i) q^{21} +(-0.164700 + 0.934058i) q^{22} +(2.20306 + 3.81582i) q^{23} +(-1.92662 + 1.61662i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(1.15764 - 2.00509i) q^{26} +(-0.409104 - 0.708590i) q^{27} +(3.67308 + 3.08208i) q^{28} +(1.45396 - 2.51833i) q^{29} +(-0.436729 - 2.47681i) q^{30} +2.76626 q^{31} +(-0.173648 - 0.984808i) q^{32} +(1.82733 - 1.53332i) q^{33} +(5.09921 + 1.85596i) q^{34} +(-4.50570 + 1.63994i) q^{35} +3.32533 q^{36} +(-6.00830 - 0.948848i) q^{37} -0.242285 q^{38} +(-5.47180 + 1.99157i) q^{39} +(0.939693 + 0.342020i) q^{40} +(4.90805 - 4.11834i) q^{41} +(-2.09406 - 11.8760i) q^{42} -11.4914 q^{43} +(0.164700 + 0.934058i) q^{44} +(-1.66266 + 2.87982i) q^{45} +(3.37529 + 2.83220i) q^{46} +(3.87837 + 6.71754i) q^{47} +(-1.25751 + 2.17807i) q^{48} +(-15.0264 + 5.46915i) q^{49} +(-0.766044 + 0.642788i) q^{50} +(-6.82384 - 11.8192i) q^{51} +(0.402044 - 2.28010i) q^{52} +(-0.821638 + 4.65974i) q^{53} +(-0.626784 - 0.525935i) q^{54} +(-0.891268 - 0.324395i) q^{55} +(4.50570 + 1.63994i) q^{56} +(0.466790 + 0.391684i) q^{57} +(0.504955 - 2.86374i) q^{58} +(-0.848787 + 4.81371i) q^{59} +(-1.25751 - 2.17807i) q^{60} +(3.83534 - 3.21823i) q^{61} +(2.59944 - 0.946117i) q^{62} +(-7.97225 + 13.8083i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.77361 + 1.48823i) q^{65} +(1.19271 - 2.06583i) q^{66} +(-0.406489 - 2.30532i) q^{67} +5.42647 q^{68} +(-1.92428 - 10.9131i) q^{69} +(-3.67308 + 3.08208i) q^{70} +(-15.7012 - 5.71477i) q^{71} +(3.12479 - 1.13733i) q^{72} +8.22532 q^{73} +(-5.97048 + 1.16333i) q^{74} +2.51502 q^{75} +(-0.227673 + 0.0828663i) q^{76} +(-4.27351 - 1.55543i) q^{77} +(-4.46066 + 3.74293i) q^{78} +(-1.52595 - 8.65407i) q^{79} +1.00000 q^{80} +(-1.37498 - 7.79788i) q^{81} +(3.20350 - 5.54863i) q^{82} +(5.80809 + 4.87357i) q^{83} +(-6.02959 - 10.4436i) q^{84} +(-2.71323 + 4.69946i) q^{85} +(-10.7984 + 3.93028i) q^{86} +(-5.60245 + 4.70102i) q^{87} +(0.474234 + 0.821397i) q^{88} +(1.15272 - 6.53742i) q^{89} +(-0.577437 + 3.27481i) q^{90} +(8.50420 + 7.13587i) q^{91} +(4.14040 + 1.50698i) q^{92} +(-6.53763 - 2.37950i) q^{93} +(5.94201 + 4.98594i) q^{94} +(0.0420723 - 0.238604i) q^{95} +(-0.436729 + 2.47681i) q^{96} +(-1.02899 - 1.78227i) q^{97} +(-12.2496 + 10.2786i) q^{98} +(-2.96376 + 1.07872i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9	$ 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9} + 12 q^{10} - 15 q^{11} + 3 q^{14} - 6 q^{17} + 6 q^{18} - 6 q^{19} + 36 q^{21} + 9 q^{22} + 21 q^{23} - 6 q^{26} - 12 q^{27} - 3 q^{28} + 12 q^{29} + 30 q^{31} - 39 q^{33} - 21 q^{34} + 6 q^{35} + 54 q^{36} - 12 q^{37} - 36 q^{38} - 18 q^{39} + 27 q^{41} - 36 q^{42} - 24 q^{43} - 9 q^{44} - 27 q^{45} + 3 q^{46} - 6 q^{47} - 3 q^{48} - 27 q^{49} - 6 q^{51} - 9 q^{52} + 6 q^{53} + 9 q^{54} + 9 q^{55} - 6 q^{56} - 27 q^{57} + 27 q^{58} + 51 q^{59} - 3 q^{60} - 3 q^{62} - 27 q^{63} - 12 q^{64} + 15 q^{66} - 18 q^{69} + 3 q^{70} - 66 q^{71} + 6 q^{72} + 42 q^{73} - 42 q^{74} + 6 q^{75} - 6 q^{76} + 69 q^{77} + 36 q^{78} - 30 q^{79} + 24 q^{80} - 90 q^{81} + 24 q^{82} + 57 q^{83} + 6 q^{84} - 6 q^{86} + 6 q^{87} + 15 q^{88} - 57 q^{89} + 6 q^{90} + 3 q^{91} + 15 q^{92} - 72 q^{93} + 3 q^{94} - 15 q^{95} - 3 q^{97} - 72 q^{98} + 63 q^{99}+O(q^{100}) $ 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9 + 12 * q^10 - 15 * q^11 + 3 * q^14 - 6 * q^17 + 6 * q^18 - 6 * q^19 + 36 * q^21 + 9 * q^22 + 21 * q^23 - 6 * q^26 - 12 * q^27 - 3 * q^28 + 12 * q^29 + 30 * q^31 - 39 * q^33 - 21 * q^34 + 6 * q^35 + 54 * q^36 - 12 * q^37 - 36 * q^38 - 18 * q^39 + 27 * q^41 - 36 * q^42 - 24 * q^43 - 9 * q^44 - 27 * q^45 + 3 * q^46 - 6 * q^47 - 3 * q^48 - 27 * q^49 - 6 * q^51 - 9 * q^52 + 6 * q^53 + 9 * q^54 + 9 * q^55 - 6 * q^56 - 27 * q^57 + 27 * q^58 + 51 * q^59 - 3 * q^60 - 3 * q^62 - 27 * q^63 - 12 * q^64 + 15 * q^66 - 18 * q^69 + 3 * q^70 - 66 * q^71 + 6 * q^72 + 42 * q^73 - 42 * q^74 + 6 * q^75 - 6 * q^76 + 69 * q^77 + 36 * q^78 - 30 * q^79 + 24 * q^80 - 90 * q^81 + 24 * q^82 + 57 * q^83 + 6 * q^84 - 6 * q^86 + 6 * q^87 + 15 * q^88 - 57 * q^89 + 6 * q^90 + 3 * q^91 + 15 * q^92 - 72 * q^93 + 3 * q^94 - 15 * q^95 - 3 * q^97 - 72 * q^98 + 63 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$1$

Coefficient data

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

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

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

$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$3$	−2.36335	−	0.860188i	−1.36448	−	0.496630i	−0.447043	−	0.894513i	$-0.647523\pi$
$3$	−2.36335	−	0.860188i	−1.36448	−	0.496630i	−0.917436	+	0.397883i	$0.869745\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	0.173648	+	0.984808i	0.0776578	+	0.440419i
$5$	0.173648	+	0.984808i	0.0776578	+	0.440419i
$6$	−2.51502			−1.02675
$7$	0.832620	+	4.72202i	0.314701	+	1.78476i	0.573893	+	0.818930i	$0.305433\pi$
$7$	0.832620	+	4.72202i	0.314701	+	1.78476i	−0.259192	+	0.965826i	$0.583456\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	2.54735	+	2.13748i	0.849117	+	0.712493i
$10$	0.500000	+	0.866025i	0.158114	+	0.273861i
$11$	−0.474234	+	0.821397i	−0.142987	+	0.247660i	−0.928620	−	0.371032i	$-0.879004\pi$
$11$	−0.474234	+	0.821397i	−0.142987	+	0.247660i	0.785633	+	0.618693i	$0.212337\pi$
$12$	−2.36335	+	0.860188i	−0.682239	+	0.248315i
$13$	1.77361	−	1.48823i	0.491910	−	0.412761i	−0.362800	−	0.931867i	$-0.618179\pi$
$13$	1.77361	−	1.48823i	0.491910	−	0.412761i	0.854710	+	0.519106i	$0.173735\pi$
$14$	2.39743	+	4.15248i	0.640741	+	1.10980i
$15$	0.436729	−	2.47681i	0.112763	−	0.639510i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	4.15692	+	3.48807i	1.00820	+	0.845981i	0.988099	−	0.153817i	$-0.0491568\pi$
$17$	4.15692	+	3.48807i	1.00820	+	0.845981i	0.0201011	+	0.999798i	$0.493601\pi$
$18$	3.12479	+	1.13733i	0.736519	+	0.268071i
$19$	−0.227673	−	0.0828663i	−0.0522318	−	0.0190108i	0.315772	−	0.948835i	$-0.397736\pi$
$19$	−0.227673	−	0.0828663i	−0.0522318	−	0.0190108i	−0.368004	+	0.929824i	$0.619959\pi$
$20$	0.766044	+	0.642788i	0.171293	+	0.143732i
$21$	2.09406	−	11.8760i	0.456960	−	2.59155i
$22$	−0.164700	+	0.934058i	−0.0351141	+	0.199142i
$23$	2.20306	+	3.81582i	0.459370	+	0.795653i	0.998928	−	0.0462960i	$-0.0147417\pi$
$23$	2.20306	+	3.81582i	0.459370	+	0.795653i	−0.539557	+	0.841949i	$0.681408\pi$
$24$	−1.92662	+	1.61662i	−0.393269	+	0.329992i
$25$	−0.939693	+	0.342020i	−0.187939	+	0.0684040i
$26$	1.15764	−	2.00509i	0.227032	−	0.393230i
$27$	−0.409104	−	0.708590i	−0.0787322	−	0.136368i
$28$	3.67308	+	3.08208i	0.694147	+	0.582458i
$29$	1.45396	−	2.51833i	0.269994	−	0.467643i	−0.698866	−	0.715252i	$-0.746312\pi$
$29$	1.45396	−	2.51833i	0.269994	−	0.467643i	0.968860	+	0.247610i	$0.0796450\pi$
$30$	−0.436729	−	2.47681i	−0.0797354	−	0.452202i
$31$	2.76626			0.496835			0.248418	−	0.968653i	$-0.420089\pi$
$31$	2.76626			0.496835			0.248418	+	0.968653i	$0.420089\pi$
$32$	−0.173648	−	0.984808i	−0.0306970	−	0.174091i
$33$	1.82733	−	1.53332i	0.318098	−	0.266916i
$34$	5.09921	+	1.85596i	0.874508	+	0.318295i
$35$	−4.50570	+	1.63994i	−0.761602	+	0.277201i
$36$	3.32533			0.554221
$37$	−6.00830	−	0.948848i	−0.987759	−	0.155990i
$37$	−6.00830	−	0.948848i	−0.987759	−	0.155990i
$38$	−0.242285			−0.0393038
$39$	−5.47180	+	1.99157i	−0.876190	+	0.318907i
$40$	0.939693	+	0.342020i	0.148578	+	0.0540781i
$41$	4.90805	−	4.11834i	0.766509	−	0.643177i	−0.173304	−	0.984868i	$-0.555444\pi$
$41$	4.90805	−	4.11834i	0.766509	−	0.643177i	0.939812	+	0.341691i	$0.111000\pi$
$42$	−2.09406	−	11.8760i	−0.323120	−	1.83250i
$43$	−11.4914			−1.75242			−0.876209	−	0.481931i	$-0.839936\pi$
$43$	−11.4914			−1.75242			−0.876209	+	0.481931i	$0.839936\pi$
$44$	0.164700	+	0.934058i	0.0248294	+	0.140815i
$45$	−1.66266	+	2.87982i	−0.247855	+	0.429298i
$46$	3.37529	+	2.83220i	0.497659	+	0.417586i
$47$	3.87837	+	6.71754i	0.565719	+	0.979854i	0.996982	+	0.0776278i	$0.0247346\pi$
$47$	3.87837	+	6.71754i	0.565719	+	0.979854i	−0.431264	+	0.902226i	$0.641932\pi$
$48$	−1.25751	+	2.17807i	−0.181506	+	0.314378i
$49$	−15.0264	+	5.46915i	−2.14662	+	0.781308i
$50$	−0.766044	+	0.642788i	−0.108335	+	0.0909039i
$51$	−6.82384	−	11.8192i	−0.955529	−	1.65502i
$52$	0.402044	−	2.28010i	0.0557534	−	0.316193i
$53$	−0.821638	+	4.65974i	−0.112861	+	0.640065i	0.874927	+	0.484256i	$0.160910\pi$
$53$	−0.821638	+	4.65974i	−0.112861	+	0.640065i	−0.987787	+	0.155809i	$0.950202\pi$
$54$	−0.626784	−	0.525935i	−0.0852946	−	0.0715706i
$55$	−0.891268	−	0.324395i	−0.120179	−	0.0437414i
$56$	4.50570	+	1.63994i	0.602099	+	0.219146i
$57$	0.466790	+	0.391684i	0.0618279	+	0.0518798i
$58$	0.504955	−	2.86374i	0.0663039	−	0.376028i
$59$	−0.848787	+	4.81371i	−0.110503	+	0.626692i	0.878376	+	0.477970i	$0.158627\pi$
$59$	−0.848787	+	4.81371i	−0.110503	+	0.626692i	−0.988879	+	0.148722i	$0.952484\pi$
$60$	−1.25751	−	2.17807i	−0.162344	−	0.281188i
$61$	3.83534	−	3.21823i	0.491064	−	0.412052i	−0.363343	−	0.931655i	$-0.618365\pi$
$61$	3.83534	−	3.21823i	0.491064	−	0.412052i	0.854408	+	0.519603i	$0.173920\pi$
$62$	2.59944	−	0.946117i	0.330129	−	0.120157i
$63$	−7.97225	+	13.8083i	−1.00441	+	1.73969i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	1.77361	+	1.48823i	0.219989	+	0.184592i
$66$	1.19271	−	2.06583i	0.146812	−	0.254286i
$67$	−0.406489	−	2.30532i	−0.0496606	−	0.281639i	0.949857	−	0.312683i	$-0.101228\pi$
$67$	−0.406489	−	2.30532i	−0.0496606	−	0.281639i	−0.999518	+	0.0310442i	$0.990117\pi$
$68$	5.42647			0.658056
$69$	−1.92428	−	10.9131i	−0.231656	−	1.31379i
$70$	−3.67308	+	3.08208i	−0.439017	+	0.368379i
$71$	−15.7012	−	5.71477i	−1.86339	−	0.678218i	−0.976223	−	0.216771i	$-0.930448\pi$
$71$	−15.7012	−	5.71477i	−1.86339	−	0.678218i	−0.887167	−	0.461448i	$-0.847330\pi$
$72$	3.12479	−	1.13733i	0.368260	−	0.134036i
$73$	8.22532			0.962701			0.481351	−	0.876528i	$-0.340146\pi$
$73$	8.22532			0.962701			0.481351	+	0.876528i	$0.340146\pi$
$74$	−5.97048	+	1.16333i	−0.694054	+	0.135235i
$75$	2.51502			0.290410
$76$	−0.227673	+	0.0828663i	−0.0261159	+	0.00950542i
$77$	−4.27351	−	1.55543i	−0.487012	−	0.177258i
$78$	−4.46066	+	3.74293i	−0.505070	+	0.423804i
$79$	−1.52595	−	8.65407i	−0.171682	−	0.973659i	−0.941904	−	0.335882i	$-0.890966\pi$
$79$	−1.52595	−	8.65407i	−0.171682	−	0.973659i	0.770222	−	0.637776i	$-0.220146\pi$
$80$	1.00000			0.111803
$81$	−1.37498	−	7.79788i	−0.152775	−	0.866431i
$82$	3.20350	−	5.54863i	0.353768	−	0.612743i
$83$	5.80809	+	4.87357i	0.637521	+	0.534944i	0.903256	−	0.429102i	$-0.141170\pi$
$83$	5.80809	+	4.87357i	0.637521	+	0.534944i	−0.265735	+	0.964046i	$0.585614\pi$
$84$	−6.02959	−	10.4436i	−0.657882	−	1.13949i
$85$	−2.71323	+	4.69946i	−0.294292	+	0.509728i
$86$	−10.7984	+	3.93028i	−1.16442	+	0.423813i
$87$	−5.60245	+	4.70102i	−0.600646	+	0.504002i
$88$	0.474234	+	0.821397i	0.0505535	+	0.0875612i
$89$	1.15272	−	6.53742i	0.122188	−	0.692965i	−0.860750	−	0.509028i	$-0.830005\pi$
$89$	1.15272	−	6.53742i	0.122188	−	0.692965i	0.982938	−	0.183937i	$-0.0588841\pi$
$90$	−0.577437	+	3.27481i	−0.0608672	+	0.345195i
$91$	8.50420	+	7.13587i	0.891483	+	0.748043i
$92$	4.14040	+	1.50698i	0.431667	+	0.157114i
$93$	−6.53763	−	2.37950i	−0.677921	−	0.246743i
$94$	5.94201	+	4.98594i	0.612872	+	0.514260i
$95$	0.0420723	−	0.238604i	0.00431653	−	0.0244803i
$96$	−0.436729	+	2.47681i	−0.0445734	+	0.252789i
$97$	−1.02899	−	1.78227i	−0.104478	−	0.180962i	0.809047	−	0.587745i	$-0.199984\pi$
$97$	−1.02899	−	1.78227i	−0.104478	−	0.180962i	−0.913525	+	0.406783i	$0.866651\pi$
$98$	−12.2496	+	10.2786i	−1.23740	+	1.03830i
$99$	−2.96376	+	1.07872i	−0.297869	+	0.108415i
$100$	−0.500000	+	0.866025i	−0.0500000	+	0.0866025i
$101$	−7.44389	−	12.8932i	−0.740694	−	1.28292i	−0.952180	−	0.305539i	$-0.901163\pi$
$101$	−7.44389	−	12.8932i	−0.740694	−	1.28292i	0.211485	−	0.977381i	$-0.432170\pi$
$102$	−10.4547	−	8.77256i	−1.03517	−	0.868613i
$103$	4.18882	−	7.25525i	0.412737	−	0.714881i	−0.582451	−	0.812866i	$-0.697906\pi$
$103$	4.18882	−	7.25525i	0.412737	−	0.714881i	0.995188	+	0.0979847i	$0.0312396\pi$
$104$	−0.402044	−	2.28010i	−0.0394236	−	0.223583i
$105$	12.0592			1.17686
$106$	0.821638	+	4.65974i	0.0798045	+	0.452594i
$107$	10.2823	−	8.62790i	0.994031	−	0.834091i	0.00788451	−	0.999969i	$-0.497490\pi$
$107$	10.2823	−	8.62790i	0.994031	−	0.834091i	0.986146	+	0.165878i	$0.0530458\pi$
$108$	−0.768865	−	0.279844i	−0.0739841	−	0.0269280i
$109$	16.7341	−	6.09073i	1.60284	−	0.583386i	0.622834	−	0.782354i	$-0.285981\pi$
$109$	16.7341	−	6.09073i	1.60284	−	0.583386i	0.980006	+	0.198968i	$0.0637589\pi$
$110$	−0.948468			−0.0904328
$111$	13.3835	+	7.41072i	1.27031	+	0.703395i
$112$	4.79487			0.453072
$113$	6.34006	−	2.30759i	0.596423	−	0.217080i	−0.0261293	−	0.999659i	$-0.508318\pi$
$113$	6.34006	−	2.30759i	0.596423	−	0.217080i	0.622552	+	0.782578i	$0.286096\pi$
$114$	0.572603	+	0.208410i	0.0536292	+	0.0195194i
$115$	−3.37529	+	2.83220i	−0.314747	+	0.264104i
$116$	−0.504955	−	2.86374i	−0.0468839	−	0.265892i
$117$	7.69906			0.711778
$118$	0.848787	+	4.81371i	0.0781372	+	0.443138i
$119$	−13.0096	+	22.5333i	−1.19259	+	2.06562i
$120$	−1.92662	−	1.61662i	−0.175875	−	0.147577i
$121$	5.05020	+	8.74721i	0.459110	+	0.795201i
$122$	2.50334	−	4.33591i	0.226642	−	0.392555i
$123$	−15.1420	+	5.51123i	−1.36531	+	0.496931i
$124$	2.11908	−	1.77812i	0.190299	−	0.159680i
$125$	−0.500000	−	0.866025i	−0.0447214	−	0.0774597i
$126$	−2.76873	+	15.7023i	−0.246658	+	1.39887i
$127$	0.957887	−	5.43245i	0.0849987	−	0.482052i	−0.912358	−	0.409393i	$-0.865740\pi$
$127$	0.957887	−	5.43245i	0.0849987	−	0.482052i	0.997357	−	0.0726588i	$-0.0231484\pi$
$128$	−0.766044	−	0.642788i	−0.0677094	−	0.0568149i
$129$	27.1581	+	9.88474i	2.39114	+	0.870303i
$130$	2.17565	+	0.791872i	0.190817	+	0.0694517i
$131$	17.2400	+	14.4661i	1.50626	+	1.26390i	0.870656	+	0.491892i	$0.163695\pi$
$131$	17.2400	+	14.4661i	1.50626	+	1.26390i	0.635607	+	0.772013i	$0.280750\pi$
$132$	0.414223	−	2.34918i	0.0360535	−	0.204469i
$133$	0.201731	−	1.14407i	0.0174923	−	0.0992038i
$134$	−1.17044	−	2.02726i	−0.101111	−	0.175129i
$135$	0.626784	−	0.525935i	0.0539450	−	0.0452652i
$136$	5.09921	−	1.85596i	0.437254	−	0.159147i
$137$	−8.04647	+	13.9369i	−0.687457	+	1.19071i	0.285201	+	0.958468i	$0.407940\pi$
$137$	−8.04647	+	13.9369i	−0.687457	+	1.19071i	−0.972658	+	0.232242i	$0.925394\pi$
$138$	−5.54075	−	9.59686i	−0.471660	−	0.816939i
$139$	−8.05544	−	6.75931i	−0.683253	−	0.573318i	0.233702	−	0.972308i	$-0.424916\pi$
$139$	−8.05544	−	6.75931i	−0.683253	−	0.573318i	−0.916955	+	0.398991i	$0.869361\pi$
$140$	−2.39743	+	4.15248i	−0.202620	+	0.350948i
$141$	−3.38759	−	19.2120i	−0.285287	−	1.61794i
$142$	−16.7089			−1.40218
$143$	0.381325	+	2.16260i	0.0318880	+	0.180846i
$144$	2.54735	−	2.13748i	0.212279	−	0.178123i
$145$	2.73255	+	0.994568i	0.226926	+	0.0825944i
$146$	7.72927	−	2.81323i	0.639679	−	0.232824i
$147$	40.2170			3.31704
$148$	−5.21253	+	3.13520i	−0.428468	+	0.257712i
$149$	15.6975			1.28599			0.642995	−	0.765870i	$-0.277691\pi$
$149$	15.6975			1.28599			0.642995	+	0.765870i	$0.277691\pi$
$150$	2.36335	−	0.860188i	0.192966	−	0.0702340i
$151$	−15.3022	−	5.56955i	−1.24528	−	0.453243i	−0.366473	−	0.930429i	$-0.619435\pi$
$151$	−15.3022	−	5.56955i	−1.24528	−	0.453243i	−0.878803	+	0.477185i	$0.841657\pi$
$152$	−0.185601	+	0.155738i	−0.0150542	+	0.0126320i
$153$	3.13345	+	17.7707i	0.253324	+	1.43667i
$154$	−4.54777			−0.366470
$155$	0.480356	+	2.72424i	0.0385831	+	0.218816i
$156$	−2.91149	+	5.04284i	−0.233105	+	0.403750i
$157$	−19.0936	−	16.0214i	−1.52384	−	1.27865i	−0.828550	−	0.559916i	$-0.810833\pi$
$157$	−19.0936	−	16.0214i	−1.52384	−	1.27865i	−0.695285	−	0.718734i	$-0.744722\pi$
$158$	−4.39379	−	7.61026i	−0.349551	−	0.605440i
$159$	5.95007	−	10.3058i	0.471871	−	0.817304i
$160$	0.939693	−	0.342020i	0.0742892	−	0.0270391i
$161$	−16.1841	+	13.5800i	−1.27548	+	1.07026i
$162$	−3.95909	−	6.85734i	−0.311055	−	0.538764i
$163$	3.70161	−	20.9929i	0.289932	−	1.64429i	−0.397183	−	0.917740i	$-0.630012\pi$
$163$	3.70161	−	20.9929i	0.289932	−	1.64429i	0.687115	−	0.726549i	$-0.258877\pi$
$164$	1.11256	−	6.30967i	0.0868767	−	0.492702i
$165$	1.82733	+	1.53332i	0.142258	+	0.119368i
$166$	7.12468	+	2.59317i	0.552983	+	0.201269i
$167$	−8.96884	−	3.26439i	−0.694030	−	0.252606i	−0.0291701	−	0.999574i	$-0.509286\pi$
$167$	−8.96884	−	3.26439i	−0.694030	−	0.252606i	−0.664860	+	0.746968i	$0.731509\pi$
$168$	−9.23787	−	7.75149i	−0.712717	−	0.598041i
$169$	−1.32658	+	7.52343i	−0.102045	+	0.578725i
$170$	−0.942296	+	5.34403i	−0.0722708	+	0.409868i
$171$	−0.402838	−	0.697737i	−0.0308058	−	0.0533573i
$172$	−8.80290	+	7.38651i	−0.671215	+	0.563216i
$173$	8.86545	−	3.22676i	0.674028	−	0.245326i	0.0177466	−	0.999843i	$-0.494351\pi$
$173$	8.86545	−	3.22676i	0.674028	−	0.245326i	0.656281	+	0.754516i	$0.272129\pi$
$174$	−3.65674	+	6.33366i	−0.277217	+	0.480154i
$175$	−2.39743	−	4.15248i	−0.181229	−	0.313898i
$176$	0.726568	+	0.609663i	0.0547671	+	0.0459551i
$177$	6.14667	−	10.6464i	0.462012	−	0.800229i
$178$	−1.15272	−	6.53742i	−0.0864003	−	0.490000i
$179$	2.22774			0.166509			0.0832545	−	0.996528i	$-0.473469\pi$
$179$	2.22774			0.166509			0.0832545	+	0.996528i	$0.473469\pi$
$180$	0.577437	+	3.27481i	0.0430396	+	0.244090i
$181$	−13.6369	+	11.4427i	−1.01362	+	0.850531i	−0.988813	−	0.149161i	$-0.952343\pi$
$181$	−13.6369	+	11.4427i	−1.01362	+	0.850531i	−0.0248105	+	0.999692i	$0.507898\pi$
$182$	10.4319	+	3.79692i	0.773267	+	0.281446i
$183$	−11.8325	+	4.30668i	−0.874684	+	0.318359i
$184$	4.40613			0.324824
$185$	−0.108898	−	6.08179i	−0.00800634	−	0.447142i
$186$	−6.95720			−0.510127
$187$	−4.83644	+	1.76032i	−0.353675	+	0.128727i
$188$	7.28896	+	2.65296i	0.531602	+	0.193487i
$189$	3.00535	−	2.52179i	0.218607	−	0.183433i
$190$	−0.0420723	−	0.238604i	−0.00305225	−	0.0173102i
$191$	0.673527			0.0487347			0.0243674	−	0.999703i	$-0.492243\pi$
$191$	0.673527			0.0487347			0.0243674	+	0.999703i	$0.492243\pi$
$192$	0.436729	+	2.47681i	0.0315182	+	0.178748i
$193$	−2.08441	+	3.61030i	−0.150039	+	0.259875i	−0.931242	−	0.364403i	$-0.881273\pi$
$193$	−2.08441	+	3.61030i	−0.150039	+	0.259875i	0.781203	+	0.624278i	$0.214607\pi$
$194$	−1.57651	−	1.32285i	−0.113187	−	0.0949750i
$195$	−2.91149	−	5.04284i	−0.208496	−	0.361125i
$196$	−7.99537	+	13.8484i	−0.571098	+	0.989170i
$197$	−6.62589	+	2.41162i	−0.472075	+	0.171821i	−0.567092	−	0.823654i	$-0.691932\pi$
$197$	−6.62589	+	2.41162i	−0.472075	+	0.171821i	0.0950172	+	0.995476i	$0.469709\pi$
$198$	−2.41608	+	2.02733i	−0.171703	+	0.144076i
$199$	0.256480	+	0.444236i	0.0181814	+	0.0314911i	0.874973	−	0.484172i	$-0.160879\pi$
$199$	0.256480	+	0.444236i	0.0181814	+	0.0314911i	−0.856792	+	0.515663i	$0.827546\pi$
$200$	−0.173648	+	0.984808i	−0.0122788	+	0.0696364i
$201$	−1.02233	+	5.79792i	−0.0721095	+	0.408954i
$202$	−11.4047	−	9.56967i	−0.802431	−	0.673320i
$203$	13.1022	+	4.76882i	0.919596	+	0.334705i
$204$	−12.8246	−	4.66778i	−0.897903	−	0.326810i
$205$	4.90805	+	4.11834i	0.342793	+	0.287638i
$206$	1.45476	−	8.25037i	0.101358	−	0.574830i
$207$	−2.54426	+	14.4292i	−0.176838	+	1.00290i
$208$	−1.15764	−	2.00509i	−0.0802678	−	0.139028i
$209$	0.176036	−	0.147712i	0.0121767	−	0.0102175i
$210$	11.3319	−	4.12448i	0.781977	−	0.284616i
$211$	11.7868	−	20.4154i	0.811440	−	1.40546i	−0.100416	−	0.994946i	$-0.532017\pi$
$211$	11.7868	−	20.4154i	0.811440	−	1.40546i	0.911856	−	0.410510i	$-0.134649\pi$
$212$	2.36581	+	4.09771i	0.162485	+	0.281432i
$213$	32.1916	+	27.0120i	2.20573	+	1.85083i
$214$	6.71132	−	11.6243i	0.458776	−	0.794624i
$215$	−1.99546	−	11.3168i	−0.136089	−	0.771799i
$216$	−0.818209			−0.0556721
$217$	2.30324	+	13.0623i	0.156354	+	0.886730i
$218$	13.6418	−	11.4468i	0.923939	−	0.775277i
$219$	−19.4393	−	7.07532i	−1.31359	−	0.478106i
$220$	−0.891268	+	0.324395i	−0.0600893	+	0.0218707i
$221$	12.5638			0.845132
$222$	15.1110	+	2.38637i	1.01418	+	0.160163i
$223$	−21.3956			−1.43276			−0.716378	−	0.697712i	$-0.754202\pi$
$223$	−21.3956			−1.43276			−0.716378	+	0.697712i	$0.754202\pi$
$224$	4.50570	−	1.63994i	0.301050	−	0.109573i
$225$	−3.12479	−	1.13733i	−0.208319	−	0.0758220i
$226$	5.16846	−	4.33686i	0.343801	−	0.288483i
$227$	−3.90335	−	22.1370i	−0.259074	−	1.46928i	−0.785394	−	0.618996i	$-0.787540\pi$
$227$	−3.90335	−	22.1370i	−0.259074	−	1.46928i	0.526320	−	0.850287i	$-0.323572\pi$
$228$	0.609351			0.0403553
$229$	0.344164	+	1.95185i	0.0227430	+	0.128982i	0.994065	−	0.108785i	$-0.0346959\pi$
$229$	0.344164	+	1.95185i	0.0227430	+	0.128982i	−0.971322	+	0.237766i	$0.923585\pi$
$230$	−2.20306	+	3.81582i	−0.145266	+	0.251608i
$231$	8.76182	+	7.35204i	0.576486	+	0.483729i
$232$	−1.45396	−	2.51833i	−0.0954572	−	0.165337i
$233$	−0.704119	+	1.21957i	−0.0461284	+	0.0798966i	−0.888168	−	0.459519i	$-0.848022\pi$
$233$	−0.704119	+	1.21957i	−0.0461284	+	0.0798966i	0.842039	+	0.539416i	$0.181355\pi$
$234$	7.23475	−	2.63323i	0.472950	−	0.172140i
$235$	−5.94201	+	4.98594i	−0.387614	+	0.325247i
$236$	2.44399	+	4.23311i	0.159090	+	0.275552i
$237$	−3.83778	+	21.7652i	−0.249291	+	1.41380i
$238$	−4.51818	+	25.6239i	−0.292870	+	1.66095i
$239$	13.5342	+	11.3565i	0.875453	+	0.734593i	0.965239	−	0.261369i	$-0.0841738\pi$
$239$	13.5342	+	11.3565i	0.875453	+	0.734593i	−0.0897858	+	0.995961i	$0.528618\pi$
$240$	−2.36335	−	0.860188i	−0.152553	−	0.0555249i
$241$	11.5954	+	4.22040i	0.746928	+	0.271860i	0.687313	−	0.726362i	$-0.258790\pi$
$241$	11.5954	+	4.22040i	0.746928	+	0.271860i	0.0596157	+	0.998221i	$0.481012\pi$
$242$	7.73736	+	6.49242i	0.497376	+	0.417348i
$243$	−3.88434	+	22.0292i	−0.249180	+	1.41317i
$244$	0.869400	−	4.93061i	0.0556576	−	0.315650i
$245$	−7.99537	−	13.8484i	−0.510805	−	0.884741i
$246$	−12.3438	+	10.3577i	−0.787015	+	0.660384i
$247$	−0.527127	+	0.191859i	−0.0335403	+	0.0122077i
$248$	1.38313	−	2.39565i	0.0878289	−	0.152124i
$249$	−9.53435	−	16.5140i	−0.604215	−	1.04653i
$250$	−0.766044	−	0.642788i	−0.0484489	−	0.0406535i
$251$	−4.25075	+	7.36252i	−0.268305	+	0.464718i	−0.968424	−	0.249308i	$-0.919797\pi$
$251$	−4.25075	+	7.36252i	−0.268305	+	0.464718i	0.700119	+	0.714026i	$0.253130\pi$
$252$	2.76873	+	15.7023i	0.174414	+	0.989150i
$253$	−4.17907			−0.262736
$254$	−0.957887	−	5.43245i	−0.0601032	−	0.340862i
$255$	10.4547	−	8.77256i	0.654701	−	0.549359i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	11.4548	−	4.16921i	0.714532	−	0.260068i	0.0409292	−	0.999162i	$-0.486968\pi$
$257$	11.4548	−	4.16921i	0.714532	−	0.260068i	0.673603	+	0.739094i	$0.264746\pi$
$258$	28.9010			1.79930
$259$	−0.522151	−	29.1614i	−0.0324449	−	1.81200i
$260$	2.31528			0.143587
$261$	9.08664	−	3.30727i	0.562449	−	0.204715i
$262$	21.1480	+	7.69723i	1.30653	+	0.475536i
$263$	6.84563	−	5.74416i	0.422119	−	0.354200i	−0.406849	−	0.913495i	$-0.633373\pi$
$263$	6.84563	−	5.74416i	0.422119	−	0.354200i	0.828969	+	0.559295i	$0.188928\pi$
$264$	−0.414223	−	2.34918i	−0.0254937	−	0.144582i
$265$	−4.73162			−0.290661
$266$	−0.201731	−	1.14407i	−0.0123689	−	0.0701477i
$267$	−8.34769	+	14.4586i	−0.510870	+	0.884854i
$268$	−1.79322	−	1.50469i	−0.109538	−	0.0919135i
$269$	13.3387	+	23.1032i	0.813273	+	1.40863i	0.910562	+	0.413373i	$0.135650\pi$
$269$	13.3387	+	23.1032i	0.813273	+	1.40863i	−0.0972888	+	0.995256i	$0.531017\pi$
$270$	0.409104	−	0.708590i	0.0248973	−	0.0431234i
$271$	29.6456	−	10.7901i	1.80084	−	0.655453i	0.802578	−	0.596548i	$-0.203461\pi$
$271$	29.6456	−	10.7901i	1.80084	−	0.655453i	0.998264	−	0.0589049i	$-0.0187609\pi$
$272$	4.15692	−	3.48807i	0.252050	−	0.211495i
$273$	−13.9602	−	24.1797i	−0.844909	−	1.46342i
$274$	−2.79451	+	15.8485i	−0.168823	+	0.957440i
$275$	0.164700	−	0.934058i	0.00993176	−	0.0563258i
$276$	−8.48892	−	7.12305i	−0.510973	−	0.428757i
$277$	−20.8535	−	7.59006i	−1.25297	−	0.456043i	−0.371564	−	0.928407i	$-0.621178\pi$
$277$	−20.8535	−	7.59006i	−1.25297	−	0.456043i	−0.881403	+	0.472365i	$0.843401\pi$
$278$	−9.88146	−	3.59656i	−0.592650	−	0.215707i
$279$	7.04663	+	5.91283i	0.421871	+	0.353992i
$280$	−0.832620	+	4.72202i	−0.0497585	+	0.282195i
$281$	−1.22226	+	6.93177i	−0.0729138	+	0.413515i	0.926402	+	0.376535i	$0.122885\pi$
$281$	−1.22226	+	6.93177i	−0.0729138	+	0.413515i	−0.999316	+	0.0369794i	$0.988226\pi$
$282$	−9.75419	−	16.8947i	−0.580853	−	1.00607i
$283$	16.8965	−	14.1779i	1.00440	−	0.842788i	0.0168079	−	0.999859i	$-0.494650\pi$
$283$	16.8965	−	14.1779i	1.00440	−	0.842788i	0.987587	+	0.157071i	$0.0502052\pi$
$284$	−15.7012	+	5.71477i	−0.931695	+	0.339109i
$285$	−0.304676	+	0.527714i	−0.0180474	+	0.0312591i
$286$	1.09798	+	1.90176i	0.0649251	+	0.112454i
$287$	23.5334	+	19.7469i	1.38913	+	1.16562i
$288$	1.66266	−	2.87982i	0.0979734	−	0.169695i
$289$	2.16132	+	12.2575i	0.127137	+	0.721028i
$290$	2.90792			0.170759
$291$	0.898782	+	5.09725i	0.0526875	+	0.298806i
$292$	6.30096	−	5.28713i	0.368736	−	0.309406i
$293$	−14.8010	−	5.38712i	−0.864683	−	0.314719i	−0.128671	−	0.991687i	$-0.541071\pi$
$293$	−14.8010	−	5.38712i	−0.864683	−	0.314719i	−0.736012	+	0.676969i	$0.763293\pi$
$294$	37.7916	−	13.7550i	2.20405	−	0.802210i
$295$	−4.88797			−0.284589
$296$	−3.82588	+	4.72892i	−0.222375	+	0.274863i
$297$	0.776045			0.0450307
$298$	14.7508	−	5.36887i	0.854493	−	0.311010i
$299$	9.58619	+	3.48909i	0.554384	+	0.201779i
$300$	1.92662	−	1.61662i	0.111233	−	0.0933358i
$301$	−9.56795	−	54.2625i	−0.551487	−	3.12764i
$302$	−16.2843			−0.937054
$303$	6.50192	+	36.8742i	0.373525	+	2.11837i
$304$	−0.121142	+	0.209825i	−0.00694800	+	0.0120343i
$305$	3.83534	+	3.21823i	0.219611	+	0.184275i
$306$	9.02240	+	15.6273i	0.515776	+	0.893350i
$307$	−13.8176	+	23.9328i	−0.788613	+	1.36592i	0.138203	+	0.990404i	$0.455867\pi$
$307$	−13.8176	+	23.9328i	−0.788613	+	1.36592i	−0.926817	+	0.375515i	$0.877466\pi$
$308$	−4.27351	+	1.55543i	−0.243506	+	0.0886289i
$309$	−16.1405	+	13.5435i	−0.918202	+	0.770463i
$310$	1.38313	+	2.39565i	0.0785565	+	0.136064i
$311$	1.20553	−	6.83687i	0.0683591	−	0.387683i	−0.931363	−	0.364093i	$-0.881379\pi$
$311$	1.20553	−	6.83687i	0.0683591	−	0.387683i	0.999722	−	0.0235906i	$-0.00750982\pi$
$312$	−1.01115	+	5.73451i	−0.0572450	+	0.324653i
$313$	7.93375	+	6.65721i	0.448442	+	0.376288i	0.838857	−	0.544351i	$-0.183224\pi$
$313$	7.93375	+	6.65721i	0.448442	+	0.376288i	−0.390415	+	0.920639i	$0.627669\pi$
$314$	−23.4218	−	8.52483i	−1.32177	−	0.481084i
$315$	−14.9829	−	5.45334i	−0.844193	−	0.307261i
$316$	−6.73167	−	5.64854i	−0.378686	−	0.317755i
$317$	−1.39290	+	7.89953i	−0.0782331	+	0.443682i	0.920380	+	0.391026i	$0.127880\pi$
$317$	−1.39290	+	7.89953i	−0.0782331	+	0.443682i	−0.998613	+	0.0526559i	$0.983231\pi$
$318$	2.06644	−	11.7193i	0.115880	−	0.657188i
$319$	1.37903	+	2.38856i	0.0772111	+	0.133734i
$320$	0.766044	−	0.642788i	0.0428232	−	0.0359329i
$321$	−31.7223	+	11.5460i	−1.77057	+	0.644434i
$322$	−10.5634	+	18.2963i	−0.588675	+	1.01961i
$323$	−0.657376	−	1.13861i	−0.0365774	−	0.0633538i
$324$	−6.06567	−	5.08970i	−0.336982	−	0.282761i
$325$	−1.15764	+	2.00509i	−0.0642143	+	0.111222i
$326$	−3.70161	−	20.9929i	−0.205013	−	1.16269i
$327$	−44.7877			−2.47677
$328$	−1.11256	−	6.30967i	−0.0614311	−	0.348393i
$329$	−28.4911	+	23.9069i	−1.57077	+	1.31803i
$330$	2.24156	+	0.815860i	0.123394	+	0.0449116i
$331$	−4.10510	+	1.49413i	−0.225637	+	0.0821250i	−0.452365	−	0.891833i	$-0.649419\pi$
$331$	−4.10510	+	1.49413i	−0.225637	+	0.0821250i	0.226728	+	0.973958i	$0.427197\pi$
$332$	7.58193			0.416112
$333$	−13.2771	−	15.2597i	−0.727581	−	0.836225i
$334$	−9.54444			−0.522249
$335$	2.19971	−	0.800628i	0.120183	−	0.0437430i
$336$	−11.3319	−	4.12448i	−0.618207	−	0.225009i
$337$	−0.630712	+	0.529230i	−0.0343571	+	0.0288290i	−0.659805	−	0.751437i	$-0.729361\pi$
$337$	−0.630712	+	0.529230i	−0.0343571	+	0.0288290i	0.625447	+	0.780266i	$0.284916\pi$
$338$	1.32658	+	7.52343i	0.0721566	+	0.409220i
$339$	−16.9687			−0.921614
$340$	0.942296	+	5.34403i	0.0511032	+	0.289821i
$341$	−1.31185	+	2.27220i	−0.0710409	+	0.123046i
$342$	−0.617184	−	0.517879i	−0.0333735	−	0.0280037i
$343$	−21.5547	−	37.3338i	−1.16384	−	2.01584i
$344$	−5.74569	+	9.95182i	−0.309787	+	0.536566i
$345$	10.4132	−	3.79010i	0.560628	−	0.204052i
$346$	7.22718	−	6.06433i	0.388536	−	0.326020i
$347$	3.54350	+	6.13751i	0.190225	+	0.329479i	0.945325	−	0.326131i	$-0.105745\pi$
$347$	3.54350	+	6.13751i	0.190225	+	0.329479i	−0.755100	+	0.655610i	$0.772412\pi$
$348$	−1.26997	+	7.20238i	−0.0680777	+	0.386088i
$349$	−1.37913	+	7.82141i	−0.0738229	+	0.418671i	0.925390	+	0.379015i	$0.123737\pi$
$349$	−1.37913	+	7.82141i	−0.0738229	+	0.418671i	−0.999213	+	0.0396556i	$0.987374\pi$
$350$	−3.67308	−	3.08208i	−0.196334	−	0.164744i
$351$	−1.78014	−	0.647916i	−0.0950166	−	0.0345832i
$352$	0.891268	+	0.324395i	0.0475047	+	0.0172903i
$353$	−10.4644	−	8.78064i	−0.556962	−	0.467346i	0.320329	−	0.947306i	$-0.396207\pi$
$353$	−10.4644	−	8.78064i	−0.556962	−	0.467346i	−0.877290	+	0.479960i	$0.840651\pi$
$354$	2.13472	−	12.1066i	0.113459	−	0.643458i
$355$	2.90147	−	16.4550i	0.153994	−	0.873342i
$356$	−3.31913	−	5.74891i	−0.175914	−	0.304692i
$357$	50.1290	−	42.0632i	2.65311	−	2.22622i
$358$	2.09339	−	0.761932i	0.110639	−	0.0402693i
$359$	8.35116	−	14.4646i	0.440757	−	0.763414i	−0.556988	−	0.830520i	$-0.688043\pi$
$359$	8.35116	−	14.4646i	0.440757	−	0.763414i	0.997746	+	0.0671060i	$0.0213766\pi$
$360$	1.66266	+	2.87982i	0.0876301	+	0.151780i
$361$	−14.5099	−	12.1752i	−0.763678	−	0.640802i
$362$	−8.90086	+	15.4167i	−0.467819	+	0.810286i
$363$	−4.41114	−	25.0168i	−0.231525	−	1.31304i
$364$	11.1014			0.581874
$365$	1.42831	+	8.10036i	0.0747613	+	0.423992i
$366$	−9.64595	+	8.09391i	−0.504202	+	0.423076i
$367$	3.85265	+	1.40225i	0.201107	+	0.0731969i	0.440610	−	0.897699i	$-0.354762\pi$
$367$	3.85265	+	1.40225i	0.201107	+	0.0731969i	−0.239503	+	0.970896i	$0.576984\pi$
$368$	4.14040	−	1.50698i	0.215833	−	0.0785570i
$369$	21.3054			1.10911
$370$	−2.18242	−	5.67777i	−0.113459	−	0.295173i
$371$	−22.6875			−1.17788
$372$	−6.53763	+	2.37950i	−0.338960	+	0.123372i
$373$	3.94959	+	1.43753i	0.204502	+	0.0744327i	0.442240	−	0.896897i	$-0.354184\pi$
$373$	3.94959	+	1.43753i	0.204502	+	0.0744327i	−0.237738	+	0.971329i	$0.576406\pi$
$374$	−3.94270	+	3.30832i	−0.203872	+	0.171069i
$375$	0.436729	+	2.47681i	0.0225526	+	0.127902i
$376$	7.75675			0.400024
$377$	−1.16911	−	6.63036i	−0.0602123	−	0.341481i
$378$	1.96160	−	3.39759i	0.100894	−	0.174753i
$379$	10.8828	+	9.13178i	0.559013	+	0.469068i	0.877980	−	0.478698i	$-0.158891\pi$
$379$	10.8828	+	9.13178i	0.559013	+	0.469068i	−0.318966	+	0.947766i	$0.603336\pi$
$380$	−0.121142	−	0.209825i	−0.00621448	−	0.0107638i
$381$	−6.93674	+	12.0148i	−0.355380	+	0.615537i
$382$	0.632908	−	0.230360i	0.0323824	−	0.0117862i
$383$	13.5838	−	11.3982i	0.694099	−	0.582419i	−0.225989	−	0.974130i	$-0.572561\pi$
$383$	13.5838	−	11.3982i	0.694099	−	0.582419i	0.920088	+	0.391711i	$0.128117\pi$
$384$	1.25751	+	2.17807i	0.0641721	+	0.111149i
$385$	0.789713	−	4.47868i	0.0402475	−	0.228255i
$386$	−0.723907	+	4.10548i	−0.0368459	+	0.208963i
$387$	−29.2726	−	24.5626i	−1.48801	−	1.24859i
$388$	−1.93387	−	0.703873i	−0.0981776	−	0.0357337i
$389$	−7.68637	−	2.79761i	−0.389715	−	0.141845i	0.139729	−	0.990190i	$-0.455377\pi$
$389$	−7.68637	−	2.79761i	−0.389715	−	0.141845i	−0.529443	+	0.848345i	$0.677599\pi$
$390$	−4.46066	−	3.74293i	−0.225874	−	0.189531i
$391$	−4.15188	+	23.5465i	−0.209969	+	1.19080i
$392$	−2.77676	+	15.7478i	−0.140248	+	0.795384i
$393$	−28.3005	−	49.0179i	−1.42757	−	2.47263i
$394$	−5.40147	+	4.53237i	−0.272122	+	0.228338i
$395$	8.25762	−	3.00553i	0.415486	−	0.151224i
$396$	−1.57698	+	2.73142i	−0.0792464	+	0.137259i
$397$	10.3972	+	18.0084i	0.521819	+	0.903817i	0.999678	+	0.0253806i	$0.00807977\pi$
$397$	10.3972	+	18.0084i	0.521819	+	0.903817i	−0.477859	+	0.878437i	$0.658587\pi$
$398$	0.392950	+	0.329724i	0.0196968	+	0.0165276i
$399$	−1.46088	+	2.53032i	−0.0731354	+	0.126674i
$400$	0.173648	+	0.984808i	0.00868241	+	0.0492404i
$401$	−13.1945			−0.658901			−0.329451	−	0.944173i	$-0.606864\pi$
$401$	−13.1945			−0.658901			−0.329451	+	0.944173i	$0.606864\pi$
$402$	1.02233	+	5.79792i	0.0509891	+	0.289174i
$403$	4.90626	−	4.11684i	0.244398	−	0.205074i
$404$	−13.9899	−	5.09192i	−0.696025	−	0.253332i
$405$	7.44065	−	2.70818i	0.369729	−	0.134570i
$406$	13.9431			0.691984
$407$	3.62872	−	4.48522i	0.179869	−	0.222324i
$408$	−13.6477			−0.675661
$409$	−8.28126	+	3.01413i	−0.409482	+	0.149039i	−0.538544	−	0.842597i	$-0.681025\pi$
$409$	−8.28126	+	3.01413i	−0.409482	+	0.149039i	0.129062	+	0.991636i	$0.458803\pi$
$410$	6.02061	+	2.19132i	0.297337	+	0.108222i
$411$	31.0050	−	26.0162i	1.52936	−	1.28329i
$412$	−1.45476	−	8.25037i	−0.0716710	−	0.406466i
$413$	−23.4372			−1.15327
$414$	2.54426	+	14.4292i	0.125044	+	0.709158i
$415$	−3.79096	+	6.56614i	−0.186091	+	0.322319i
$416$	−1.77361	−	1.48823i	−0.0869582	−	0.0729666i
$417$	13.2235	+	22.9038i	0.647558	+	1.12160i
$418$	0.114900	−	0.199012i	0.00561993	−	0.00973400i
$419$	−6.00020	+	2.18389i	−0.293129	+	0.106690i	−0.484399	−	0.874847i	$-0.660962\pi$
$419$	−6.00020	+	2.18389i	−0.293129	+	0.106690i	0.191270	+	0.981537i	$0.438739\pi$
$420$	9.23787	−	7.75149i	0.450762	−	0.378234i
$421$	−7.86558	−	13.6236i	−0.383345	−	0.663973i	0.608193	−	0.793789i	$-0.291895\pi$
$421$	−7.86558	−	13.6236i	−0.383345	−	0.663973i	−0.991538	+	0.129816i	$0.958561\pi$
$422$	4.09353	−	23.2156i	0.199270	−	1.13012i
$423$	−4.47903	+	25.4019i	−0.217778	+	1.23508i
$424$	3.62463	+	3.04143i	0.176028	+	0.147705i
$425$	−5.09921	−	1.85596i	−0.247348	−	0.0900274i
$426$	39.4888	+	14.3728i	1.91324	+	0.696363i
$427$	18.3899	+	15.4310i	0.889951	+	0.746757i
$428$	2.33082	−	13.2187i	0.112664	−	0.638951i
$429$	0.959041	−	5.43899i	0.0463030	−	0.262597i
$430$	−5.74569	−	9.95182i	−0.277082	−	0.479920i
$431$	−28.7372	+	24.1133i	−1.38422	+	1.16150i	−0.416600	+	0.909090i	$0.636778\pi$
$431$	−28.7372	+	24.1133i	−1.38422	+	1.16150i	−0.967621	+	0.252409i	$0.918777\pi$
$432$	−0.768865	+	0.279844i	−0.0369920	+	0.0134640i
$433$	20.5078	−	35.5205i	0.985541	−	1.70701i	0.346035	−	0.938222i	$-0.387528\pi$
$433$	20.5078	−	35.5205i	0.985541	−	1.70701i	0.639506	−	0.768786i	$-0.279139\pi$
$434$	6.63192	+	11.4868i	0.318343	+	0.551386i
$435$	−5.60245	−	4.70102i	−0.268617	−	0.225396i
$436$	8.90405	−	15.4223i	0.426427	−	0.738593i
$437$	−0.185376	−	1.05132i	−0.00886774	−	0.0502914i
$438$	−20.6869			−0.988456
$439$	−1.60683	−	9.11281i	−0.0766900	−	0.434931i	−0.998842	−	0.0481037i	$-0.984682\pi$
$439$	−1.60683	−	9.11281i	−0.0766900	−	0.434931i	0.922152	−	0.386827i	$-0.126429\pi$
$440$	−0.726568	+	0.609663i	−0.0346378	+	0.0290646i
$441$	−49.9676	−	18.1867i	−2.37941	−	0.866035i
$442$	11.8061	−	4.29707i	0.561559	−	0.204391i
$443$	−3.59904			−0.170995			−0.0854977	−	0.996338i	$-0.527248\pi$
$443$	−3.59904			−0.170995			−0.0854977	+	0.996338i	$0.527248\pi$
$444$	15.0159	−	2.92581i	0.712622	−	0.138853i
$445$	6.63827			0.314684
$446$	−20.1053	+	7.31773i	−0.952014	+	0.346505i
$447$	−37.0987	−	13.5028i	−1.75471	−	0.638661i
$448$	3.67308	−	3.08208i	0.173537	−	0.145615i
$449$	4.56180	+	25.8713i	0.215285	+	1.22094i	0.880412	+	0.474210i	$0.157266\pi$
$449$	4.56180	+	25.8713i	0.215285	+	1.22094i	−0.665127	+	0.746730i	$0.731623\pi$
$450$	−3.32533			−0.156758
$451$	1.05523	+	5.98451i	0.0496889	+	0.281800i
$452$	3.37348	−	5.84303i	0.158675	−	0.274833i
$453$	31.3736	+	26.3255i	1.47406	+	1.23688i
$454$	−11.2392	−	19.4669i	−0.527484	−	0.913629i
$455$	−5.55072	+	9.61413i	−0.260222	+	0.450718i
$456$	0.572603	−	0.208410i	0.0268146	−	0.00975971i
$457$	−15.5839	+	13.0765i	−0.728985	+	0.611691i	−0.929855	−	0.367927i	$-0.880068\pi$
$457$	−15.5839	+	13.0765i	−0.728985	+	0.611691i	0.200870	+	0.979618i	$0.435623\pi$
$458$	0.990980	+	1.71643i	0.0463054	+	0.0802034i
$459$	0.770995	−	4.37253i	0.0359870	−	0.204092i
$460$	−0.765116	+	4.33919i	−0.0356737	+	0.202316i
$461$	25.7696	+	21.6232i	1.20021	+	1.00709i	0.999624	+	0.0274184i	$0.00872863\pi$
$461$	25.7696	+	21.6232i	1.20021	+	1.00709i	0.200585	+	0.979676i	$0.435716\pi$
$462$	10.7480	+	3.91194i	0.500041	+	0.182000i
$463$	0.957201	+	0.348393i	0.0444849	+	0.0161912i	0.364167	−	0.931334i	$-0.381354\pi$
$463$	0.957201	+	0.348393i	0.0444849	+	0.0161912i	−0.319682	+	0.947525i	$0.603576\pi$
$464$	−2.22760	−	1.86918i	−0.103414	−	0.0867743i
$465$	1.20811	−	6.85151i	0.0560246	−	0.317731i
$466$	−0.244538	+	1.38684i	−0.0113280	+	0.0642443i
$467$	4.75563	+	8.23700i	0.220064	+	0.381163i	0.954827	−	0.297161i	$-0.0960399\pi$
$467$	4.75563	+	8.23700i	0.220064	+	0.381163i	−0.734763	+	0.678324i	$0.762707\pi$
$468$	5.89782	−	4.94886i	0.272627	−	0.228761i
$469$	10.5473	−	3.83890i	0.487029	−	0.177264i
$470$	−3.87837	+	6.71754i	−0.178896	+	0.309857i
$471$	31.3433	+	54.2883i	1.44423	+	2.50147i
$472$	3.74440	+	3.14193i	0.172350	+	0.144619i
$473$	5.44960	−	9.43898i	0.250573	−	0.434005i
$474$	3.83778	+	21.7652i	0.176275	+	0.999707i
$475$	0.242285			0.0111168
$476$	4.51818	+	25.6239i	0.207091	+	1.17447i
$477$	−12.0531	+	10.1138i	−0.551874	+	0.463077i
$478$	16.6021	+	6.04268i	0.759364	+	0.276386i
$479$	12.0949	−	4.40219i	0.552631	−	0.201141i	−0.0505841	−	0.998720i	$-0.516108\pi$
$479$	12.0949	−	4.40219i	0.552631	−	0.201141i	0.603215	+	0.797579i	$0.293886\pi$
$480$	−2.51502			−0.114794
$481$	−12.0685	+	7.25886i	−0.550275	+	0.330976i
$482$	12.3396			0.562054
$483$	49.9299	−	18.1730i	2.27189	−	0.826900i
$484$	9.49128	+	3.45454i	0.431422	+	0.157025i
$485$	1.57651	−	1.32285i	0.0715856	−	0.0600674i
$486$	3.88434	+	22.0292i	0.176197	+	0.999263i
$487$	−15.9717			−0.723747			−0.361873	−	0.932227i	$-0.617863\pi$
$487$	−15.9717			−0.723747			−0.361873	+	0.932227i	$0.617863\pi$
$488$	−0.869400	−	4.93061i	−0.0393559	−	0.223198i
$489$	−26.8060	+	46.4293i	−1.21221	+	2.09961i
$490$	−12.2496	−	10.2786i	−0.553381	−	0.464342i
$491$	−2.91175	−	5.04329i	−0.131405	−	0.227601i	0.792813	−	0.609465i	$-0.208616\pi$
$491$	−2.91175	−	5.04329i	−0.131405	−	0.227601i	−0.924219	+	0.381864i	$0.875282\pi$
$492$	−8.05687	+	13.9549i	−0.363232	+	0.629136i
$493$	14.8281	−	5.39699i	0.667825	−	0.243068i
$494$	−0.429718	+	0.360576i	−0.0193339	+	0.0162231i
$495$	−1.57698	−	2.73142i	−0.0708801	−	0.122768i
$496$	0.480356	−	2.72424i	0.0215686	−	0.122322i
$497$	13.9121	−	78.8996i	0.624044	−	3.53913i
$498$	−14.6075	−	12.2571i	−0.654577	−	0.549255i
$499$	−5.19893	−	1.89226i	−0.232736	−	0.0847090i	0.223019	−	0.974814i	$-0.428409\pi$
$499$	−5.19893	−	1.89226i	−0.232736	−	0.0847090i	−0.455756	+	0.890105i	$0.650631\pi$
$500$	−0.939693	−	0.342020i	−0.0420243	−	0.0152956i
$501$	18.3885	+	15.4298i	0.821537	+	0.689351i
$502$	−1.47627	+	8.37235i	−0.0658892	+	0.373676i
$503$	−6.60178	+	37.4406i	−0.294359	+	1.66939i	0.375438	+	0.926848i	$0.377492\pi$
$503$	−6.60178	+	37.4406i	−0.294359	+	1.66939i	−0.669796	+	0.742545i	$0.733619\pi$
$504$	7.97225	+	13.8083i	0.355112	+	0.615073i
$505$	11.4047	−	9.56967i	0.507502	−	0.425845i
$506$	−3.92704	+	1.42933i	−0.174578	+	0.0635413i
$507$	9.60673	−	16.6394i	0.426650	−	0.738980i
$508$	−2.75813	−	4.77721i	−0.122372	−	0.211955i
$509$	−3.35433	−	2.81461i	−0.148678	−	0.124756i	0.565415	−	0.824807i	$-0.308716\pi$
$509$	−3.35433	−	2.81461i	−0.148678	−	0.124756i	−0.714093	+	0.700051i	$0.753161\pi$
$510$	6.82384	−	11.8192i	0.302165	−	0.523365i
$511$	6.84856	+	38.8401i	0.302963	+	1.71819i
$512$	−1.00000			−0.0441942
$513$	0.0344240	+	0.195228i	0.00151985	+	0.00861952i
$514$	9.33805	−	7.83556i	0.411884	−	0.345612i
$515$	7.87241	+	2.86532i	0.346900	+	0.126261i
$516$	27.1581	−	9.88474i	1.19557	−	0.435151i
$517$	−7.35702			−0.323561
$518$	−10.4644	−	27.2241i	−0.459781	−	1.19616i
$519$	−23.7278			−1.04153
$520$	2.17565	−	0.791872i	0.0954085	−	0.0347259i
$521$	29.5859	+	10.7684i	1.29618	+	0.471771i	0.895751	−	0.444557i	$-0.146639\pi$
$521$	29.5859	+	10.7684i	1.29618	+	0.471771i	0.400429	+	0.916328i	$0.368861\pi$
$522$	7.40749	−	6.21563i	0.324217	−	0.272051i
$523$	2.89269	+	16.4053i	0.126488	+	0.717352i	0.980413	+	0.196954i	$0.0631050\pi$
$523$	2.89269	+	16.4053i	0.126488	+	0.717352i	−0.853924	+	0.520397i	$0.825784\pi$
$524$	22.5052			0.983144
$525$	2.09406	+	11.8760i	0.0913921	+	0.518310i
$526$	4.46817	−	7.73909i	0.194821	−	0.337440i
$527$	11.4991	+	9.64890i	0.500909	+	0.420313i
$528$	−1.19271	−	2.06583i	−0.0519059	−	0.0899037i
$529$	1.79303	−	3.10561i	0.0779577	−	0.135027i
$530$	−4.44627	+	1.61831i	−0.193134	+	0.0702949i
$531$	−12.4514	+	10.4479i	−0.540343	+	0.453402i
$532$	−0.580862	−	1.00608i	−0.0251835	−	0.0436192i
$533$	2.57590	−	14.6086i	0.111574	−	0.632770i
$534$	−2.89912	+	16.4417i	−0.125457	+	0.711504i
$535$	10.2823	+	8.62790i	0.444544	+	0.373017i
$536$	−2.19971	−	0.800628i	−0.0950129	−	0.0345819i
$537$	−5.26492	−	1.91627i	−0.227198	−	0.0826933i
$538$	20.4360	+	17.1479i	0.881059	+	0.739297i
$539$	2.63367	−	14.9363i	0.113440	−	0.643351i
$540$	0.142080	−	0.805778i	0.00611417	−	0.0346752i
$541$	−10.4573	−	18.1125i	−0.449593	−	0.778718i	0.548766	−	0.835976i	$-0.315098\pi$
$541$	−10.4573	−	18.1125i	−0.449593	−	0.778718i	−0.998359	+	0.0572579i	$0.981764\pi$
$542$	24.1673	−	20.2788i	1.03807	−	0.871048i
$543$	42.0716	−	15.3128i	1.80547	−	0.657136i
$544$	2.71323	−	4.69946i	0.116329	−	0.201488i
$545$	8.90405	+	15.4223i	0.381408	+	0.660617i
$546$	−21.3882	−	17.9469i	−0.915332	−	0.768055i
$547$	−10.5582	+	18.2873i	−0.451436	+	0.781910i	−0.998475	−	0.0551969i	$-0.982421\pi$
$547$	−10.5582	+	18.2873i	−0.451436	+	0.781910i	0.547040	+	0.837107i	$0.315755\pi$
$548$	2.79451	+	15.8485i	0.119376	+	0.677013i
$549$	16.6488			0.710555
$550$	−0.164700	−	0.934058i	−0.00702282	−	0.0398284i
$551$	−0.539713	+	0.452873i	−0.0229926	+	0.0192930i
$552$	−10.4132	−	3.79010i	−0.443215	−	0.161317i
$553$	39.5942	−	14.4111i	1.68371	−	0.612822i
$554$	−22.1919			−0.942842
$555$	−4.97412	+	14.4670i	−0.211139	+	0.614092i
$556$	−10.5156			−0.445962
$557$	−10.9107	+	3.97117i	−0.462302	+	0.168264i	−0.562662	−	0.826687i	$-0.690223\pi$
$557$	−10.9107	+	3.97117i	−0.462302	+	0.168264i	0.100360	+	0.994951i	$0.468000\pi$
$558$	8.64398	+	3.14615i	0.365929	+	0.133187i
$559$	−20.3812	+	17.1018i	−0.862032	+	0.723330i
$560$	0.832620	+	4.72202i	0.0351846	+	0.199542i
$561$	12.9444			0.546512
$562$	1.22226	+	6.93177i	0.0515579	+	0.292399i
$563$	14.1876	−	24.5737i	0.597937	−	1.03566i	−0.395188	−	0.918600i	$-0.629321\pi$
$563$	14.1876	−	24.5737i	0.597937	−	1.03566i	0.993125	−	0.117057i	$-0.0373461\pi$
$564$	−14.9443	−	12.5397i	−0.629268	−	0.528018i
$565$	3.37348	+	5.84303i	0.141923	+	0.245818i
$566$	11.0284	−	19.1018i	0.463560	−	0.802909i
$567$	35.6769	−	12.9853i	1.49829	−	0.545333i
$568$	−12.7997	+	10.7403i	−0.537065	+	0.450651i
$569$	−16.3243	−	28.2746i	−0.684352	−	1.18533i	−0.973640	−	0.228090i	$-0.926752\pi$
$569$	−16.3243	−	28.2746i	−0.684352	−	1.18533i	0.289288	−	0.957242i	$-0.406581\pi$
$570$	−0.105813	+	0.600094i	−0.00443201	+	0.0251352i
$571$	−0.118832	+	0.673931i	−0.00497298	+	0.0282032i	−0.987193	−	0.159529i	$-0.949003\pi$
$571$	−0.118832	+	0.673931i	−0.00497298	+	0.0282032i	0.982220	+	0.187732i	$0.0601136\pi$
$572$	1.68221	+	1.41154i	0.0703366	+	0.0590194i
$573$	−1.59178	−	0.579360i	−0.0664975	−	0.0242031i
$574$	28.8680	+	10.5071i	1.20493	+	0.438558i
$575$	−3.37529	−	2.83220i	−0.140759	−	0.118111i
$576$	0.577437	−	3.27481i	0.0240599	−	0.136450i
$577$	−2.31474	+	13.1276i	−0.0963640	+	0.546508i	0.897957	+	0.440084i	$0.145051\pi$
$577$	−2.31474	+	13.1276i	−0.0963640	+	0.546508i	−0.994321	+	0.106424i	$0.966060\pi$
$578$	6.22328	+	10.7790i	0.258854	+	0.448349i
$579$	8.03171	−	6.73941i	0.333787	−	0.280080i
$580$	2.73255	−	0.994568i	0.113463	−	0.0412972i
$581$	−18.1772	+	31.4838i	−0.754116	+	1.30617i
$582$	2.58794	+	4.48244i	0.107274	+	0.185803i
$583$	−3.43785	−	2.88470i	−0.142381	−	0.119472i
$584$	4.11266	−	7.12334i	0.170183	−	0.294766i
$585$	1.33693	+	7.58209i	0.0552752	+	0.313481i
$586$	−15.7509			−0.650663
$587$	3.62994	+	20.5864i	0.149824	+	0.849693i	0.963367	+	0.268188i	$0.0864248\pi$
$587$	3.62994	+	20.5864i	0.149824	+	0.849693i	−0.813543	+	0.581505i	$0.802464\pi$
$588$	30.8080	−	25.8510i	1.27050	−	1.06608i
$589$	−0.629804	−	0.229230i	−0.0259506	−	0.00944525i
$590$	−4.59319	+	1.67178i	−0.189099	+	0.0688263i
$591$	17.7337			0.729467
$592$	−1.97776	+	5.75226i	−0.0812856	+	0.236416i
$593$	−40.3180			−1.65566			−0.827831	−	0.560977i	$-0.810425\pi$
$593$	−40.3180			−1.65566			−0.827831	+	0.560977i	$0.810425\pi$
$594$	0.729243	−	0.265423i	0.0299212	−	0.0108904i
$595$	−24.4500	−	8.89909i	−1.00235	−	0.364827i
$596$	12.0250	−	10.0902i	0.492563	−	0.413309i
$597$	−0.224024	−	1.27050i	−0.00916870	−	0.0519983i
$598$	10.2014			0.417167
$599$	−5.28228	−	29.9573i	−0.215828	−	1.22402i	−0.879464	−	0.475966i	$-0.842099\pi$
$599$	−5.28228	−	29.9573i	−0.215828	−	1.22402i	0.663636	−	0.748056i	$-0.269013\pi$
$600$	1.25751	−	2.17807i	0.0513376	−	0.0889194i
$601$	5.92755	+	4.97380i	0.241790	+	0.202886i	0.755627	−	0.655002i	$-0.227332\pi$
$601$	5.92755	+	4.97380i	0.241790	+	0.202886i	−0.513838	+	0.857887i	$0.671777\pi$
$602$	−27.5498	−	47.7177i	−1.12285	−	1.94483i
$603$	3.89210	−	6.74131i	0.158498	−	0.274527i
$604$	−15.3022	+	5.56955i	−0.622638	+	0.226622i
$605$	−7.73736	+	6.49242i	−0.314569	+	0.263954i
$606$	18.7215	+	32.4266i	0.760510	+	1.31724i
$607$	−5.14498	+	29.1787i	−0.208828	+	1.18433i	0.682472	+	0.730912i	$0.260905\pi$
$607$	−5.14498	+	29.1787i	−0.208828	+	1.18433i	−0.891300	+	0.453413i	$0.850206\pi$
$608$	−0.0420723	+	0.238604i	−0.00170626	+	0.00967667i
$609$	−26.8630	−	22.5407i	−1.08854	−	0.913397i
$610$	4.70474	+	1.71238i	0.190489	+	0.0693324i
$611$	16.8760	+	6.14235i	0.682728	+	0.248493i
$612$	13.8231	+	11.5990i	0.558766	+	0.468861i
$613$	−4.69903	+	26.6495i	−0.189792	+	1.07636i	0.729850	+	0.683607i	$0.239590\pi$
$613$	−4.69903	+	26.6495i	−0.189792	+	1.07636i	−0.919642	+	0.392757i	$0.871521\pi$
$614$	−4.79881	+	27.2154i	−0.193664	+	1.09832i
$615$	−8.05687	−	13.9549i	−0.324884	−	0.562716i
$616$	−3.48380	+	2.92325i	−0.140366	+	0.117781i
$617$	40.4336	−	14.7166i	1.62780	−	0.592469i	0.642952	−	0.765907i	$-0.277710\pi$
$617$	40.4336	−	14.7166i	1.62780	−	0.592469i	0.984845	+	0.173437i	$0.0554874\pi$
$618$	−10.5350	+	18.2471i	−0.423779	+	0.734006i
$619$	−1.01304	−	1.75463i	−0.0407173	−	0.0705245i	0.844949	−	0.534848i	$-0.179631\pi$
$619$	−1.01304	−	1.75463i	−0.0407173	−	0.0705245i	−0.885666	+	0.464323i	$0.846298\pi$
$620$	2.11908	+	1.77812i	0.0851043	+	0.0714110i
$621$	1.80257	−	3.12214i	0.0723345	−	0.125287i
$622$	−1.20553	−	6.83687i	−0.0483372	−	0.274134i
$623$	31.8296			1.27523
$624$	1.01115	+	5.73451i	0.0404783	+	0.229564i
$625$	0.766044	−	0.642788i	0.0306418	−	0.0257115i
$626$	9.73219	+	3.54223i	0.388977	+	0.141576i
$627$	−0.543095	+	0.197671i	−0.0216891	+	0.00789420i
$628$	−24.9249			−0.994613
$629$	−21.6664	−	24.9016i	−0.863894	−	0.992893i
$630$	−15.9445			−0.635244
$631$	14.2936	−	5.20243i	0.569018	−	0.207106i	−0.0414582	−	0.999140i	$-0.513200\pi$
$631$	14.2936	−	5.20243i	0.569018	−	0.207106i	0.610476	+	0.792035i	$0.290978\pi$
$632$	−8.25762	−	3.00553i	−0.328470	−	0.119553i
$633$	−45.4175	+	38.1098i	−1.80518	+	1.51473i
$634$	1.39290	+	7.89953i	0.0553192	+	0.313730i
$635$	5.51625			0.218906
$636$	−2.06644	−	11.7193i	−0.0819395	−	0.464702i
$637$	−18.5115	+	32.0629i	−0.733452	+	1.27038i
$638$	2.11280	+	1.77285i	0.0836467	+	0.0701879i
$639$	−27.7812	−	48.1185i	−1.09901	−	1.90354i
$640$	0.500000	−	0.866025i	0.0197642	−	0.0342327i
$641$	−1.54426	+	0.562064i	−0.0609946	+	0.0222002i	−0.372337	−	0.928097i	$-0.621444\pi$
$641$	−1.54426	+	0.562064i	−0.0609946	+	0.0222002i	0.311343	+	0.950298i	$0.399221\pi$
$642$	−25.8603	+	21.6994i	−1.02062	+	0.856405i
$643$	−19.7583	−	34.2224i	−0.779191	−	1.34960i	−0.932409	−	0.361406i	$-0.882297\pi$
$643$	−19.7583	−	34.2224i	−0.779191	−	1.34960i	0.153218	−	0.988192i	$-0.451036\pi$
$644$	−3.66863	+	20.8058i	−0.144564	+	0.819864i
$645$	−5.01861	+	28.4620i	−0.197608	+	1.12069i
$646$	−1.00716	−	0.845106i	−0.0396261	−	0.0332502i
$647$	−18.3979	−	6.69628i	−0.723295	−	0.263258i	−0.0459710	−	0.998943i	$-0.514638\pi$
$647$	−18.3979	−	6.69628i	−0.723295	−	0.263258i	−0.677324	+	0.735685i	$0.736860\pi$
$648$	−7.44065	−	2.70818i	−0.292296	−	0.106387i
$649$	−3.55144	−	2.98002i	−0.139406	−	0.116976i
$650$	−0.402044	+	2.28010i	−0.0157695	+	0.0894330i
$651$	5.79270	−	32.8521i	0.227034	−	1.28757i
$652$	−10.6584	−	18.4608i	−0.417414	−	0.722981i
$653$	−13.8395	+	11.6127i	−0.541582	+	0.454442i	−0.872079	−	0.489366i	$-0.837228\pi$
$653$	−13.8395	+	11.6127i	−0.541582	+	0.454442i	0.330496	+	0.943807i	$0.392784\pi$
$654$	−42.0867	+	15.3183i	−1.64572	+	0.598993i
$655$	−11.2526	+	19.4901i	−0.439675	+	0.761540i
$656$	−3.20350	−	5.54863i	−0.125076	−	0.216638i
$657$	20.9528	+	17.5815i	0.817445	+	0.685918i
$658$	−18.5963	+	32.2097i	−0.724958	+	1.25566i
$659$	−4.43957	−	25.1781i	−0.172941	−	0.980798i	−0.940494	−	0.339812i	$-0.889637\pi$
$659$	−4.43957	−	25.1781i	−0.172941	−	0.980798i	0.767552	−	0.640986i	$-0.221474\pi$
$660$	2.38542			0.0928522
$661$	4.57313	+	25.9355i	0.177874	+	1.00877i	0.934774	+	0.355244i	$0.115602\pi$
$661$	4.57313	+	25.9355i	0.177874	+	1.00877i	−0.756899	+	0.653531i	$0.773287\pi$
$662$	−3.34651	+	2.80805i	−0.130066	+	0.109138i
$663$	−29.6926	−	10.8072i	−1.15316	−	0.419717i
$664$	7.12468	−	2.59317i	0.276491	−	0.100635i
$665$	1.16172			0.0450497
$666$	−17.6955	−	9.79837i	−0.685687	−	0.379679i
$667$	12.8127			0.496109
$668$	−8.96884	+	3.26439i	−0.347015	+	0.126303i
$669$	50.5653	+	18.4043i	1.95497	+	0.711549i
$670$	1.79322	−	1.50469i	0.0692780	−	0.0581312i
$671$	0.824598	+	4.67653i	0.0318332	+	0.180535i
$672$	−12.0592			−0.465193
$673$	2.60467	+	14.7718i	0.100403	+	0.569412i	0.992957	+	0.118473i	$0.0377998\pi$
$673$	2.60467	+	14.7718i	0.100403	+	0.569412i	−0.892555	+	0.450939i	$0.851089\pi$
$674$	−0.411668	+	0.713030i	−0.0158569	+	0.0274649i
$675$	0.626784	+	0.525935i	0.0241249	+	0.0202432i
$676$	3.81974	+	6.61599i	0.146913	+	0.254461i
$677$	9.27248	−	16.0604i	0.356371	−	0.617252i	−0.630981	−	0.775798i	$-0.717347\pi$
$677$	9.27248	−	16.0604i	0.356371	−	0.617252i	0.987352	+	0.158546i	$0.0506808\pi$
$678$	−15.9454	+	5.80364i	−0.612379	+	0.222888i
$679$	7.55915	−	6.34288i	0.290093	−	0.243417i
$680$	2.71323	+	4.69946i	0.104048	+	0.180216i
$681$	−9.81700	+	55.6750i	−0.376188	+	2.13347i
$682$	−0.455602	+	2.58385i	−0.0174459	+	0.0989407i
$683$	25.9345	+	21.7616i	0.992354	+	0.832684i	0.985907	−	0.167295i	$-0.0535032\pi$
$683$	25.9345	+	21.7616i	0.992354	+	0.832684i	0.00644751	+	0.999979i	$0.497948\pi$
$684$	−0.757089	−	0.275558i	−0.0289480	−	0.0105362i
$685$	−15.1224	−	5.50411i	−0.577798	−	0.210301i
$686$	−33.0237	−	27.7102i	−1.26085	−	1.05798i
$687$	0.865579	−	4.90894i	0.0330239	−	0.187288i
$688$	−1.99546	+	11.3168i	−0.0760761	+	0.431449i
$689$	5.47751	+	9.48733i	0.208677	+	0.361439i
$690$	8.48892	−	7.12305i	0.323168	−	0.271170i
$691$	−10.7613	+	3.91679i	−0.409379	+	0.149002i	−0.538497	−	0.842627i	$-0.681008\pi$
$691$	−10.7613	+	3.91679i	−0.409379	+	0.149002i	0.129118	+	0.991629i	$0.458785\pi$
$692$	4.71721	−	8.17044i	0.179321	−	0.310594i
$693$	−7.56142	−	13.0968i	−0.287235	−	0.497505i
$694$	5.42895	+	4.55543i	0.206080	+	0.172922i
$695$	5.25781	−	9.10680i	0.199440	−	0.345441i
$696$	1.26997	+	7.20238i	0.0481382	+	0.273005i
$697$	34.7674			1.31691
$698$	1.37913	+	7.82141i	0.0522007	+	0.296045i
$699$	2.71314	−	2.27659i	0.102620	−	0.0861086i
$700$	−4.50570	−	1.63994i	−0.170299	−	0.0619839i
$701$	−9.13833	+	3.32608i	−0.345150	+	0.125624i	−0.508778	−	0.860898i	$-0.669903\pi$
$701$	−9.13833	+	3.32608i	−0.345150	+	0.125624i	0.163628	+	0.986522i	$0.447680\pi$
$702$	−1.89438			−0.0714988
$703$	1.28930	+	0.713913i	0.0486270	+	0.0269257i
$704$	0.948468			0.0357467
$705$	18.3319	−	6.67226i	0.690418	−	0.251292i
$706$	−12.8364	−	4.67208i	−0.483106	−	0.175836i
$707$	54.6840	−	45.8853i	2.05660	−	1.72569i
$708$	−2.13472	−	12.1066i	−0.0802276	−	0.454993i
$709$	40.5169			1.52164			0.760822	−	0.648961i	$-0.224796\pi$
$709$	40.5169			1.52164			0.760822	+	0.648961i	$0.224796\pi$
$710$	−2.90147	−	16.4550i	−0.108890	−	0.617546i
$711$	14.6108	−	25.3066i	0.547947	−	0.949072i
$712$	−5.08521	−	4.26700i	−0.190576	−	0.159912i
$713$	6.09425	+	10.5555i	0.228231	+	0.395308i
$714$	32.7194	−	56.6717i	1.22449	−	2.12088i
$715$	−2.06353	+	0.751065i	−0.0771718	+	0.0280882i
$716$	1.70655	−	1.43196i	0.0637767	−	0.0535150i
$717$	−22.2172	−	38.4813i	−0.829717	−	1.43711i
$718$	2.90033	−	16.4486i	0.108239	−	0.613855i
$719$	6.62467	−	37.5704i	0.247059	−	1.40114i	−0.568604	−	0.822611i	$-0.692516\pi$
$719$	6.62467	−	37.5704i	0.247059	−	1.40114i	0.815663	−	0.578527i	$-0.196372\pi$
$720$	2.54735	+	2.13748i	0.0949341	+	0.0796592i
$721$	37.7471	+	13.7388i	1.40578	+	0.511661i
$722$	−17.7990	−	6.47831i	−0.662410	−	0.241098i
$723$	−23.7737	−	19.9485i	−0.884154	−	0.741894i
$724$	−3.09124	+	17.5313i	−0.114885	+	0.651545i
$725$	−0.504955	+	2.86374i	−0.0187536	+	0.106357i
$726$	−12.7014	−	21.9994i	−0.471392	−	0.816475i
$727$	16.5649	−	13.8996i	0.614358	−	0.515508i	−0.281666	−	0.959512i	$-0.590887\pi$
$727$	16.5649	−	13.8996i	0.614358	−	0.515508i	0.896025	+	0.444005i	$0.146443\pi$
$728$	10.4319	−	3.79692i	0.386634	−	0.140723i
$729$	16.2520	−	28.1493i	0.601925	−	1.04257i
$730$	4.11266	+	7.12334i	0.152216	+	0.263647i
$731$	−47.7687	−	40.0827i	−1.76679	−	1.48251i
$732$	−6.29595	+	10.9049i	−0.232705	+	0.403057i
$733$	−1.46963	−	8.33468i	−0.0542820	−	0.307849i	0.945563	−	0.325438i	$-0.105512\pi$
$733$	−1.46963	−	8.33468i	−0.0542820	−	0.307849i	−0.999845	+	0.0175897i	$0.994401\pi$
$734$	4.09991			0.151330
$735$	6.98361	+	39.6060i	0.257594	+	1.46089i
$736$	3.37529	−	2.83220i	0.124415	−	0.104396i
$737$	2.08635	+	0.759369i	0.0768517	+	0.0279717i
$738$	20.0205	−	7.28687i	0.736966	−	0.268234i
$739$	30.7940			1.13278			0.566388	−	0.824139i	$-0.308340\pi$
$739$	30.7940			1.13278			0.566388	+	0.824139i	$0.308340\pi$
$740$	−3.99272	−	4.58892i	−0.146775	−	0.168692i
$741$	1.41082			0.0518277
$742$	−21.3193	+	7.75958i	−0.782655	+	0.284863i
$743$	−0.899095	−	0.327244i	−0.0329846	−	0.0120054i	0.325475	−	0.945551i	$-0.394476\pi$
$743$	−0.899095	−	0.327244i	−0.0329846	−	0.0120054i	−0.358460	+	0.933545i	$0.616698\pi$
$744$	−5.32953	+	4.47200i	−0.195390	+	0.163952i
$745$	2.72584	+	15.4590i	0.0998672	+	0.566375i
$746$	4.20307			0.153885
$747$	4.37809	+	24.8294i	0.160186	+	0.908459i
$748$	−2.57341	+	4.45729i	−0.0940934	+	0.162974i
$749$	49.3024	+	41.3696i	1.80147	+	1.51161i
$750$	1.25751	+	2.17807i	0.0459178	+	0.0795319i
$751$	13.6104	−	23.5740i	0.496652	−	0.860226i	−0.503341	−	0.864088i	$-0.667896\pi$
$751$	13.6104	−	23.5740i	0.496652	−	0.860226i	0.999993	+	0.00386215i	$0.00122936\pi$
$752$	7.28896	−	2.65296i	0.265801	−	0.0967436i
$753$	16.3791	−	13.7437i	0.596889	−	0.500850i
$754$	−3.36632	−	5.83064i	−0.122594	−	0.212340i
$755$	2.82773	−	16.0369i	0.102912	−	0.583642i
$756$	0.681257	−	3.86360i	0.0247771	−	0.140518i
$757$	−41.4413	−	34.7734i	−1.50621	−	1.26386i	−0.870749	−	0.491728i	$-0.836365\pi$
$757$	−41.4413	−	34.7734i	−1.50621	−	1.26386i	−0.635462	−	0.772132i	$-0.719190\pi$
$758$	13.3498	+	4.85892i	0.484885	+	0.176484i
$759$	9.87658	+	3.59478i	0.358497	+	0.130482i
$760$	−0.185601	−	0.155738i	−0.00673245	−	0.00564920i
$761$	5.67686	−	32.1951i	0.205786	−	1.16707i	−0.690412	−	0.723416i	$-0.742571\pi$
$761$	5.67686	−	32.1951i	0.205786	−	1.16707i	0.896198	−	0.443654i	$-0.146318\pi$
$762$	−2.40911	+	13.6627i	−0.0872727	+	0.494948i
$763$	42.6937	+	73.9477i	1.54562	+	2.67709i
$764$	0.515952	−	0.432935i	0.0186665	−	0.0156630i
$765$	−16.9566	+	6.17168i	−0.613066	+	0.223138i
$766$	8.86619	−	15.3567i	0.320348	−	0.554860i
$767$	5.65851	+	9.80082i	0.204317	+	0.353887i
$768$	1.92662	+	1.61662i	0.0695208	+	0.0583349i
$769$	11.3828	−	19.7155i	0.410473	−	0.710961i	−0.584468	−	0.811417i	$-0.698697\pi$
$769$	11.3828	−	19.7155i	0.410473	−	0.710961i	0.994942	+	0.100456i	$0.0320301\pi$
$770$	−0.789713	−	4.47868i	−0.0284593	−	0.161401i
$771$	−30.6580			−1.10412
$772$	0.723907	+	4.10548i	0.0260540	+	0.147760i
$773$	−23.8715	+	20.0306i	−0.858599	+	0.720450i	−0.961666	−	0.274224i	$-0.911579\pi$
$773$	−23.8715	+	20.0306i	−0.858599	+	0.720450i	0.103067	+	0.994674i	$0.467134\pi$
$774$	−35.9081	−	13.0695i	−1.29069	−	0.469773i
$775$	−2.59944	+	0.946117i	−0.0933745	+	0.0339855i
$776$	−2.05799			−0.0738774
$777$	−23.8502	+	69.3675i	−0.855622	+	2.48855i
$778$	−8.17967			−0.293255
$779$	−1.45870	+	0.530925i	−0.0522635	+	0.0190224i
$780$	−5.47180	−	1.99157i	−0.195922	−	0.0713098i
$781$	12.1401	−	10.1868i	0.434408	−	0.364512i
$782$	4.15188	+	23.5465i	0.148471	+	0.842020i
$783$	−2.37929			−0.0850288
$784$	2.77676	+	15.7478i	0.0991701	+	0.562421i
$785$	12.4625	−	21.5856i	0.444804	−	0.770424i
$786$	−43.3589	−	36.3824i	−1.54656	−	1.29772i
$787$	−20.0297	−	34.6925i	−0.713982	−	1.23665i	−0.963351	−	0.268245i	$-0.913556\pi$
$787$	−20.0297	−	34.6925i	−0.713982	−	1.23665i	0.249369	−	0.968409i	$-0.419777\pi$
$788$	−3.52556	+	6.10645i	−0.125593	+	0.217533i
$789$	−21.1196	+	7.68692i	−0.751879	+	0.273662i
$790$	6.73167	−	5.64854i	0.239502	−	0.200966i
$791$	16.1754	+	28.0165i	0.575130	+	0.996154i
$792$	−0.547681	+	3.10605i	−0.0194610	+	0.110369i
$793$	2.01290	−	11.4157i	0.0714803	−	0.405385i
$794$	15.9294	+	13.3663i	0.565313	+	0.474354i
$795$	11.1825	+	4.07009i	0.396601	+	0.144351i
$796$	0.482025	+	0.175443i	0.0170849	+	0.00621840i
$797$	−17.8962	−	15.0167i	−0.633916	−	0.531919i	0.268227	−	0.963356i	$-0.413562\pi$
$797$	−17.8962	−	15.0167i	−0.633916	−	0.531919i	−0.902143	+	0.431437i	$0.858007\pi$
$798$	−0.507358	+	2.87737i	−0.0179603	+	0.101858i
$799$	−7.30915	+	41.4523i	−0.258579	+	1.46648i
$800$	0.500000	+	0.866025i	0.0176777	+	0.0306186i
$801$	16.9100	−	14.1892i	0.597485	−	0.501350i
$802$	−12.3988	+	4.51278i	−0.437816	+	0.159352i
$803$	−3.90073	+	6.75625i	−0.137654	+	0.238423i
$804$	2.94368	+	5.09860i	0.103816	+	0.179814i
$805$	−16.1841	−	13.5800i	−0.570413	−	0.478633i
$806$	3.20233	−	5.54660i	0.112797	−	0.195371i
$807$	−11.6508	−	66.0747i	−0.410126	−	2.32594i
$808$	−14.8878			−0.523750
$809$	−3.82166	−	21.6737i	−0.134363	−	0.762008i	−0.975302	−	0.220878i	$-0.929108\pi$
$809$	−3.82166	−	21.6737i	−0.134363	−	0.762008i	0.840939	−	0.541130i	$-0.182003\pi$
$810$	6.06567	−	5.08970i	0.213126	−	0.178834i
$811$	−39.8030	−	14.4871i	−1.39767	−	0.508711i	−0.470186	−	0.882568i	$-0.655813\pi$
$811$	−39.8030	−	14.4871i	−1.39767	−	0.508711i	−0.927487	+	0.373856i	$0.878035\pi$
$812$	13.1022	−	4.76882i	0.459798	−	0.167353i
$813$	−79.3443			−2.78273
$814$	1.87584	−	5.45583i	0.0657483	−	0.191227i
$815$	21.3167			0.746692
$816$	−12.8246	+	4.66778i	−0.448952	+	0.163405i
$817$	2.61628	+	0.952248i	0.0915320	+	0.0333149i
$818$	−6.75094	+	5.66471i	−0.236041	+	0.198062i
$819$	6.41039	+	36.3551i	0.223997	+	1.27035i
$820$	6.40700			0.223742
$821$	3.67930	+	20.8664i	0.128409	+	0.728241i	0.979225	+	0.202778i	$0.0649969\pi$
$821$	3.67930	+	20.8664i	0.128409	+	0.728241i	−0.850816	+	0.525463i	$0.823892\pi$
$822$	20.2370	−	35.0516i	0.705848	−	1.22256i
$823$	18.1626	+	15.2402i	0.633107	+	0.531240i	0.901893	−	0.431960i	$-0.142178\pi$
$823$	18.1626	+	15.2402i	0.633107	+	0.531240i	−0.268785	+	0.963200i	$0.586622\pi$
$824$	−4.18882	−	7.25525i	−0.145924	−	0.252749i
$825$	−1.19271	+	2.06583i	−0.0415248	+	0.0719230i
$826$	−22.0237	+	8.01598i	−0.766304	+	0.278912i
$827$	−2.53212	+	2.12470i	−0.0880504	+	0.0738831i	−0.685750	−	0.727837i	$-0.740526\pi$
$827$	−2.53212	+	2.12470i	−0.0880504	+	0.0738831i	0.597700	+	0.801720i	$0.296081\pi$
$828$	7.32591	+	12.6888i	0.254593	+	0.440968i
$829$	−8.11220	+	46.0065i	−0.281748	+	1.59787i	0.434927	+	0.900466i	$0.356774\pi$
$829$	−8.11220	+	46.0065i	−0.281748	+	1.59787i	−0.716675	+	0.697408i	$0.754337\pi$
$830$	−1.31659	+	7.46674i	−0.0456994	+	0.259174i
$831$	42.7552	+	35.8759i	1.48316	+	1.24452i
$832$	−2.17565	−	0.791872i	−0.0754271	−	0.0274532i
$833$	−81.5402	−	29.6782i	−2.82520	−	1.02829i
$834$	20.2596	+	16.9998i	0.701532	+	0.588655i
$835$	1.65737	−	9.39944i	0.0573558	−	0.325281i
$836$	0.0399042	−	0.226308i	0.00138012	−	0.00782703i
$837$	−1.13169	−	1.96014i	−0.0391169	−	0.0677525i
$838$	−4.89141	+	4.10438i	−0.168971	+	0.141783i
$839$	−3.41430	+	1.24270i	−0.117875	+	0.0429029i	−0.400284	−	0.916391i	$-0.631089\pi$
$839$	−3.41430	+	1.24270i	−0.117875	+	0.0429029i	0.282409	+	0.959294i	$0.408866\pi$
$840$	6.02959	−	10.4436i	0.208041	−	0.360337i
$841$	10.2720	+	17.7916i	0.354207	+	0.613504i
$842$	−12.0508	−	10.1118i	−0.415297	−	0.348476i
$843$	8.85125	−	15.3308i	0.304853	−	0.528021i
$844$	−4.09353	−	23.2156i	−0.140905	−	0.799112i
$845$	−7.63949			−0.262806
$846$	4.47903	+	25.4019i	0.153992	+	0.873334i
$847$	−37.0996	+	31.1303i	−1.27476	+	1.06965i
$848$	4.44627	+	1.61831i	0.152686	+	0.0555730i
$849$	−52.1280	+	18.9730i	−1.78903	+	0.651153i
$850$	−5.42647			−0.186126
$851$	−9.61604	−	25.0170i	−0.329634	−	0.857570i
$852$	42.0232			1.43969
$853$	−10.8729	+	3.95740i	−0.372280	+	0.135499i	−0.521383	−	0.853323i	$-0.674584\pi$
$853$	−10.8729	+	3.95740i	−0.372280	+	0.135499i	0.149103	+	0.988822i	$0.452361\pi$
$854$	22.5586	+	8.21065i	0.771939	+	0.280963i
$855$	0.617184	−	0.517879i	0.0211073	−	0.0177111i
$856$	−2.33082	−	13.2187i	−0.0796656	−	0.451806i
$857$	−11.9626			−0.408635			−0.204318	−	0.978905i	$-0.565498\pi$
$857$	−11.9626			−0.408635			−0.204318	+	0.978905i	$0.565498\pi$
$858$	−0.959041	−	5.43899i	−0.0327411	−	0.185684i
$859$	13.4752	−	23.3397i	0.459768	−	0.796341i	−0.539180	−	0.842190i	$-0.681266\pi$
$859$	13.4752	−	23.3397i	0.459768	−	0.796341i	0.998948	+	0.0458488i	$0.0145992\pi$
$860$	−8.80290	−	7.38651i	−0.300177	−	0.251878i
$861$	−38.6316	−	66.9119i	−1.31656	−	2.28035i
$862$	−18.7569	+	32.4878i	−0.638861	+	1.10654i
$863$	−2.70514	+	0.984592i	−0.0920842	+	0.0335159i	−0.387651	−	0.921806i	$-0.626714\pi$
$863$	−2.70514	+	0.984592i	−0.0920842	+	0.0335159i	0.295567	+	0.955322i	$0.404491\pi$
$864$	−0.626784	+	0.525935i	−0.0213236	+	0.0178927i
$865$	4.71721	+	8.17044i	0.160390	+	0.277803i
$866$	7.12228	−	40.3925i	0.242025	−	1.37259i
$867$	5.43577	−	30.8278i	0.184609	−	1.04697i
$868$	10.1607	+	8.52584i	0.344877	+	0.289386i
$869$	7.83208	+	2.85064i	0.265685	+	0.0967015i
$870$	−6.87243	−	2.50136i	−0.232997	−	0.0848040i
$871$	−4.15180	−	3.48377i	−0.140678	−	0.118043i
$872$	3.09234	−	17.5376i	0.104720	−	0.593897i
$873$	1.18836	−	6.73951i	0.0402198	−	0.228098i
$874$	−0.533769	−	0.924515i	−0.0180550	−	0.0312722i
$875$	3.67308	−	3.08208i	0.124173	−	0.104193i
$876$	−19.4393	+	7.07532i	−0.656793	+	0.239053i
$877$	0.314145	−	0.544115i	0.0106079	−	0.0183735i	−0.860673	−	0.509159i	$-0.829957\pi$
$877$	0.314145	−	0.544115i	0.0106079	−	0.0183735i	0.871281	+	0.490785i	$0.163290\pi$
$878$	−4.62669	−	8.01367i	−0.156143	−	0.270448i
$879$	30.3459	+	25.4632i	1.02354	+	0.858854i
$880$	−0.474234	+	0.821397i	−0.0159864	+	0.0276893i
$881$	−5.76072	−	32.6707i	−0.194084	−	1.10070i	−0.913718	−	0.406349i	$-0.866802\pi$
$881$	−5.76072	−	32.6707i	−0.194084	−	1.10070i	0.719634	−	0.694353i	$-0.244310\pi$
$882$	−53.1744			−1.79048
$883$	−5.82695	−	33.0463i	−0.196092	−	1.11210i	−0.910854	−	0.412728i	$-0.864576\pi$
$883$	−5.82695	−	33.0463i	−0.196092	−	1.11210i	0.714762	−	0.699368i	$-0.246535\pi$
$884$	9.62442	−	8.07585i	0.323704	−	0.271620i
$885$	11.5520	+	4.20457i	0.388315	+	0.141335i
$886$	−3.38199	+	1.23094i	−0.113620	+	0.0413543i
$887$	34.2329			1.14943			0.574714	−	0.818354i	$-0.305113\pi$
$887$	34.2329			1.14943			0.574714	+	0.818354i	$0.305113\pi$
$888$	13.1096	−	7.88510i	0.439930	−	0.264607i
$889$	26.4497			0.887094
$890$	6.23793	−	2.27042i	0.209096	−	0.0761047i
$891$	7.05721	+	2.56862i	0.236426	+	0.0860519i
$892$	−16.3900	+	13.7528i	−0.548778	+	0.460479i
$893$	−0.326344	−	1.85079i	−0.0109207	−	0.0619344i
$894$	−39.4796			−1.32039
$895$	0.386843	+	2.19389i	0.0129307	+	0.0733338i
$896$	2.39743	−	4.15248i	0.0800926	−	0.138724i
$897$	−19.6542	−	16.4918i	−0.656235	−	0.550647i
$898$	13.1352	+	22.7508i	0.438327	+	0.759204i
$899$	4.02204	−	6.96637i	0.134142	−	0.232341i
$900$	−3.12479	+	1.13733i	−0.104160	+	0.0379110i
$901$	−19.6690	+	16.5042i	−0.655268	+	0.549835i
$902$	3.03842	+	5.26269i	0.101168	+	0.175229i
$903$	−24.0636	+	136.471i	−0.800786	+	4.54148i
$904$	1.17160	−	6.64445i	0.0389667	−	0.220991i
$905$	−13.6369	−	11.4427i	−0.453306	−	0.380369i
$906$	38.4854	+	14.0075i	1.27859	+	0.465369i
$907$	14.5707	+	5.30329i	0.483811	+	0.176093i	0.572399	−	0.819975i	$-0.306013\pi$
$907$	14.5707	+	5.30329i	0.483811	+	0.176093i	−0.0885872	+	0.996068i	$0.528235\pi$
$908$	−17.2195	−	14.4489i	−0.571450	−	0.479503i
$909$	8.59675	−	48.7546i	0.285136	−	1.61709i
$910$	−1.92775	+	10.9328i	−0.0639042	+	0.362418i
$911$	−3.63848	−	6.30203i	−0.120548	−	0.208796i	0.799436	−	0.600752i	$-0.205132\pi$
$911$	−3.63848	−	6.30203i	−0.120548	−	0.208796i	−0.919984	+	0.391956i	$0.871799\pi$
$912$	0.466790	−	0.391684i	0.0154570	−	0.0129699i
$913$	−6.75753	+	2.45954i	−0.223642	+	0.0813989i
$914$	−10.1717	+	17.6179i	−0.336449	+	0.582747i
$915$	−6.29595	−	10.9049i	−0.208138	−	0.360505i
$916$	1.51827	+	1.27398i	0.0501650	+	0.0420934i
$917$	−53.9547	+	93.4522i	−1.78174	+	3.08606i
$918$	−0.770995	−	4.37253i	−0.0254466	−	0.144315i
$919$	−41.8315			−1.37989			−0.689947	−	0.723860i	$-0.742366\pi$
$919$	−41.8315			−1.37989			−0.689947	+	0.723860i	$0.742366\pi$
$920$	0.765116	+	4.33919i	0.0252251	+	0.143059i
$921$	53.2425	−	44.6758i	1.75440	−	1.47212i
$922$	31.6111	+	11.5055i	1.04105	+	0.378913i
$923$	−36.3526	+	13.2313i	−1.19656	+	0.435513i
$924$	11.4377			0.376274
$925$	5.97048	−	1.16333i	0.196308	−	0.0382502i
$926$	1.01863			0.0334743
$927$	26.1783	−	9.52814i	0.859810	−	0.312945i
$928$	−2.73255	−	0.994568i	−0.0897004	−	0.0326483i
$929$	6.64027	−	5.57185i	0.217860	−	0.182806i	−0.527326	−	0.849663i	$-0.676805\pi$
$929$	6.64027	−	5.57185i	0.217860	−	0.182806i	0.745186	+	0.666857i	$0.232361\pi$
$930$	−1.20811	−	6.85151i	−0.0396153	−	0.224670i
$931$	3.87431			0.126975
$932$	0.244538	+	1.38684i	0.00801010	+	0.0454276i
$933$	−8.73007	+	15.1209i	−0.285810	+	0.495037i
$934$	7.28605	+	6.11372i	0.238407	+	0.200047i
$935$	−2.57341	−	4.45729i	−0.0841597	−	0.145769i
$936$	3.84953	−	6.66758i	0.125826	−	0.217937i
$937$	9.64591	−	3.51082i	0.315118	−	0.114694i	−0.179619	−	0.983736i	$-0.557487\pi$
$937$	9.64591	−	3.51082i	0.315118	−	0.114694i	0.494737	+	0.869043i	$0.335264\pi$
$938$	8.59824	−	7.21478i	0.280742	−	0.235571i
$939$	−13.0238	−	22.5578i	−0.425014	−	0.736146i
$940$	−1.34694	+	7.63890i	−0.0439325	+	0.249154i
$941$	−0.665442	+	3.77391i	−0.0216928	+	0.123026i	−0.993731	−	0.111796i	$-0.964340\pi$
$941$	−0.665442	+	3.77391i	−0.0216928	+	0.123026i	0.972038	+	0.234822i	$0.0754507\pi$
$942$	48.0208	+	40.2942i	1.56460	+	1.31286i
$943$	26.5276	+	9.65525i	0.863857	+	0.314418i
$944$	4.59319	+	1.67178i	0.149496	+	0.0544120i
$945$	3.00535	+	2.52179i	0.0977639	+	0.0820337i
$946$	1.89263	−	10.7336i	0.0615346	−	0.348980i
$947$	−6.75358	+	38.3015i	−0.219462	+	1.24463i	0.653532	+	0.756899i	$0.273287\pi$
$947$	−6.75358	+	38.3015i	−0.219462	+	1.24463i	−0.872994	+	0.487731i	$0.837825\pi$
$948$	11.0505	+	19.1400i	0.358902	+	0.621637i
$949$	14.5885	−	12.2412i	0.473562	−	0.397366i
$950$	0.227673	−	0.0828663i	0.00738670	−	0.00268854i
$951$	10.0870	−	17.4712i	0.327093	−	0.566542i
$952$	13.0096	+	22.5333i	0.421643	+	0.730308i
$953$	−18.2626	−	15.3241i	−0.591582	−	0.496396i	0.297145	−	0.954832i	$-0.403965\pi$
$953$	−18.2626	−	15.3241i	−0.591582	−	0.496396i	−0.888727	+	0.458436i	$0.848410\pi$
$954$	−7.86710	+	13.6262i	−0.254707	+	0.441165i
$955$	0.116957	+	0.663295i	0.00378463	+	0.0214637i
$956$	17.6676			0.571412
$957$	−1.20453	−	6.83122i	−0.0389369	−	0.220822i
$958$	9.85987	−	8.27341i	0.318558	−	0.267302i
$959$	−72.5100	−	26.3915i	−2.34147	−	0.852225i
$960$	−2.36335	+	0.860188i	−0.0762767	+	0.0277624i
$961$	−23.3478			−0.753155
$962$	−8.85797	+	10.9488i	−0.285592	+	0.353002i
$963$	44.6347			1.43833
$964$	11.5954	−	4.22040i	0.373464	−	0.135930i
$965$	−3.91740	−	1.42582i	−0.126106	−	0.0458987i
$966$	40.7032	−	34.1541i	1.30960	−	1.09889i
$967$	3.48678	+	19.7745i	0.112127	+	0.635905i	0.988133	+	0.153603i	$0.0490878\pi$
$967$	3.48678	+	19.7745i	0.112127	+	0.635905i	−0.876005	+	0.482301i	$0.839801\pi$
$968$	10.1004			0.324639
$969$	0.574190	+	3.25639i	0.0184456	+	0.104610i
$970$	1.02899	−	1.78227i	0.0330390	−	0.0572252i
$971$	14.3628	+	12.0518i	0.460924	+	0.386761i	0.843471	−	0.537175i	$-0.180509\pi$
$971$	14.3628	+	12.0518i	0.460924	+	0.386761i	−0.382547	+	0.923936i	$0.624953\pi$
$972$	11.1845	+	19.3721i	0.358743	+	0.621361i
$973$	25.2105	−	43.6659i	0.808212	−	1.39986i
$974$	−15.0085	+	5.46264i	−0.480903	+	0.175034i
$975$	4.46066	−	3.74293i	0.142855	−	0.119870i
$976$	−2.50334	−	4.33591i	−0.0801299	−	0.138789i
$977$	0.145895	−	0.827414i	0.00466761	−	0.0264713i	−0.982385	−	0.186868i	$-0.940166\pi$
$977$	0.145895	−	0.827414i	0.00466761	−	0.0264713i	0.987053	+	0.160397i	$0.0512774\pi$
$978$	−9.30962	+	52.7975i	−0.297689	+	1.68828i
$979$	4.82316	+	4.04711i	0.154149	+	0.129346i
$980$	−15.0264	−	5.46915i	−0.480000	−	0.174706i
$981$	55.6465	+	20.2537i	1.77666	+	0.646650i
$982$	−4.46105	−	3.74327i	−0.142358	−	0.119453i
$983$	5.61265	−	31.8309i	0.179016	−	1.01525i	−0.754390	−	0.656426i	$-0.772067\pi$
$983$	5.61265	−	31.8309i	0.179016	−	1.01525i	0.933406	−	0.358822i	$-0.116822\pi$
$984$	−2.79812	+	15.8689i	−0.0892009	+	0.505883i
$985$	−3.52556	−	6.10645i	−0.112334	−	0.194568i
$986$	12.0880	−	10.1430i	0.384960	−	0.323020i
$987$	87.8989	−	31.9926i	2.79785	−	1.01833i
$988$	−0.280478	+	0.485803i	−0.00892321	+	0.0154554i
$989$	−25.3162	−	43.8490i	−0.805009	−	1.39432i
$990$	−2.41608	−	2.02733i	−0.0767880	−	0.0644328i
$991$	−12.9817	+	22.4850i	−0.412377	+	0.714259i	−0.995149	−	0.0983772i	$-0.968635\pi$
$991$	−12.9817	+	22.4850i	−0.412377	+	0.714259i	0.582772	+	0.812636i	$0.301968\pi$
$992$	−0.480356	−	2.72424i	−0.0152513	−	0.0864946i
$993$	10.9870			0.348662
$994$	−13.9121	−	78.8996i	−0.441266	−	2.50254i
$995$	−0.392950	+	0.329724i	−0.0124574	+	0.0104530i
$996$	−17.9187	−	6.52188i	−0.567777	−	0.206654i
$997$	−31.0094	+	11.2865i	−0.982079	+	0.357448i	−0.782648	−	0.622464i	$-0.786132\pi$
$997$	−31.0094	+	11.2865i	−0.982079	+	0.357448i	−0.199431	+	0.979912i	$0.563909\pi$
$998$	−5.53259			−0.175131
$999$	1.78568	+	4.64560i	0.0564964	+	0.146980i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.c.81.2	✓	24
37.16	even	9	inner	370.2.o.c.201.2	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.c.81.2	✓	24	1.1	even	1	trivial
370.2.o.c.201.2	yes	24	37.16	even	9	inner

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.o (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.939693 - 0.342020i) q^{2} +(-2.36335 - 0.860188i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.173648 + 0.984808i) q^{5} -2.51502 q^{6} +(0.832620 + 4.72202i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.54735 + 2.13748i) q^{9} +O(q^{10})\)	\(q+(0.939693 - 0.342020i) q^{2} +(-2.36335 - 0.860188i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.173648 + 0.984808i) q^{5} -2.51502 q^{6} +(0.832620 + 4.72202i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.54735 + 2.13748i) q^{9} +(0.500000 + 0.866025i) q^{10} +(-0.474234 + 0.821397i) q^{11} +(-2.36335 + 0.860188i) q^{12} +(1.77361 - 1.48823i) q^{13} +(2.39743 + 4.15248i) q^{14} +(0.436729 - 2.47681i) q^{15} +(0.173648 - 0.984808i) q^{16} +(4.15692 + 3.48807i) q^{17} +(3.12479 + 1.13733i) q^{18} +(-0.227673 - 0.0828663i) q^{19} +(0.766044 + 0.642788i) q^{20} +(2.09406 - 11.8760i) q^{21} +(-0.164700 + 0.934058i) q^{22} +(2.20306 + 3.81582i) q^{23} +(-1.92662 + 1.61662i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(1.15764 - 2.00509i) q^{26} +(-0.409104 - 0.708590i) q^{27} +(3.67308 + 3.08208i) q^{28} +(1.45396 - 2.51833i) q^{29} +(-0.436729 - 2.47681i) q^{30} +2.76626 q^{31} +(-0.173648 - 0.984808i) q^{32} +(1.82733 - 1.53332i) q^{33} +(5.09921 + 1.85596i) q^{34} +(-4.50570 + 1.63994i) q^{35} +3.32533 q^{36} +(-6.00830 - 0.948848i) q^{37} -0.242285 q^{38} +(-5.47180 + 1.99157i) q^{39} +(0.939693 + 0.342020i) q^{40} +(4.90805 - 4.11834i) q^{41} +(-2.09406 - 11.8760i) q^{42} -11.4914 q^{43} +(0.164700 + 0.934058i) q^{44} +(-1.66266 + 2.87982i) q^{45} +(3.37529 + 2.83220i) q^{46} +(3.87837 + 6.71754i) q^{47} +(-1.25751 + 2.17807i) q^{48} +(-15.0264 + 5.46915i) q^{49} +(-0.766044 + 0.642788i) q^{50} +(-6.82384 - 11.8192i) q^{51} +(0.402044 - 2.28010i) q^{52} +(-0.821638 + 4.65974i) q^{53} +(-0.626784 - 0.525935i) q^{54} +(-0.891268 - 0.324395i) q^{55} +(4.50570 + 1.63994i) q^{56} +(0.466790 + 0.391684i) q^{57} +(0.504955 - 2.86374i) q^{58} +(-0.848787 + 4.81371i) q^{59} +(-1.25751 - 2.17807i) q^{60} +(3.83534 - 3.21823i) q^{61} +(2.59944 - 0.946117i) q^{62} +(-7.97225 + 13.8083i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.77361 + 1.48823i) q^{65} +(1.19271 - 2.06583i) q^{66} +(-0.406489 - 2.30532i) q^{67} +5.42647 q^{68} +(-1.92428 - 10.9131i) q^{69} +(-3.67308 + 3.08208i) q^{70} +(-15.7012 - 5.71477i) q^{71} +(3.12479 - 1.13733i) q^{72} +8.22532 q^{73} +(-5.97048 + 1.16333i) q^{74} +2.51502 q^{75} +(-0.227673 + 0.0828663i) q^{76} +(-4.27351 - 1.55543i) q^{77} +(-4.46066 + 3.74293i) q^{78} +(-1.52595 - 8.65407i) q^{79} +1.00000 q^{80} +(-1.37498 - 7.79788i) q^{81} +(3.20350 - 5.54863i) q^{82} +(5.80809 + 4.87357i) q^{83} +(-6.02959 - 10.4436i) q^{84} +(-2.71323 + 4.69946i) q^{85} +(-10.7984 + 3.93028i) q^{86} +(-5.60245 + 4.70102i) q^{87} +(0.474234 + 0.821397i) q^{88} +(1.15272 - 6.53742i) q^{89} +(-0.577437 + 3.27481i) q^{90} +(8.50420 + 7.13587i) q^{91} +(4.14040 + 1.50698i) q^{92} +(-6.53763 - 2.37950i) q^{93} +(5.94201 + 4.98594i) q^{94} +(0.0420723 - 0.238604i) q^{95} +(-0.436729 + 2.47681i) q^{96} +(-1.02899 - 1.78227i) q^{97} +(-12.2496 + 10.2786i) q^{98} +(-2.96376 + 1.07872i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9	\( 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9} + 12 q^{10} - 15 q^{11} + 3 q^{14} - 6 q^{17} + 6 q^{18} - 6 q^{19} + 36 q^{21} + 9 q^{22} + 21 q^{23} - 6 q^{26} - 12 q^{27} - 3 q^{28} + 12 q^{29} + 30 q^{31} - 39 q^{33} - 21 q^{34} + 6 q^{35} + 54 q^{36} - 12 q^{37} - 36 q^{38} - 18 q^{39} + 27 q^{41} - 36 q^{42} - 24 q^{43} - 9 q^{44} - 27 q^{45} + 3 q^{46} - 6 q^{47} - 3 q^{48} - 27 q^{49} - 6 q^{51} - 9 q^{52} + 6 q^{53} + 9 q^{54} + 9 q^{55} - 6 q^{56} - 27 q^{57} + 27 q^{58} + 51 q^{59} - 3 q^{60} - 3 q^{62} - 27 q^{63} - 12 q^{64} + 15 q^{66} - 18 q^{69} + 3 q^{70} - 66 q^{71} + 6 q^{72} + 42 q^{73} - 42 q^{74} + 6 q^{75} - 6 q^{76} + 69 q^{77} + 36 q^{78} - 30 q^{79} + 24 q^{80} - 90 q^{81} + 24 q^{82} + 57 q^{83} + 6 q^{84} - 6 q^{86} + 6 q^{87} + 15 q^{88} - 57 q^{89} + 6 q^{90} + 3 q^{91} + 15 q^{92} - 72 q^{93} + 3 q^{94} - 15 q^{95} - 3 q^{97} - 72 q^{98} + 63 q^{99}+O(q^{100}) \) 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9 + 12 * q^10 - 15 * q^11 + 3 * q^14 - 6 * q^17 + 6 * q^18 - 6 * q^19 + 36 * q^21 + 9 * q^22 + 21 * q^23 - 6 * q^26 - 12 * q^27 - 3 * q^28 + 12 * q^29 + 30 * q^31 - 39 * q^33 - 21 * q^34 + 6 * q^35 + 54 * q^36 - 12 * q^37 - 36 * q^38 - 18 * q^39 + 27 * q^41 - 36 * q^42 - 24 * q^43 - 9 * q^44 - 27 * q^45 + 3 * q^46 - 6 * q^47 - 3 * q^48 - 27 * q^49 - 6 * q^51 - 9 * q^52 + 6 * q^53 + 9 * q^54 + 9 * q^55 - 6 * q^56 - 27 * q^57 + 27 * q^58 + 51 * q^59 - 3 * q^60 - 3 * q^62 - 27 * q^63 - 12 * q^64 + 15 * q^66 - 18 * q^69 + 3 * q^70 - 66 * q^71 + 6 * q^72 + 42 * q^73 - 42 * q^74 + 6 * q^75 - 6 * q^76 + 69 * q^77 + 36 * q^78 - 30 * q^79 + 24 * q^80 - 90 * q^81 + 24 * q^82 + 57 * q^83 + 6 * q^84 - 6 * q^86 + 6 * q^87 + 15 * q^88 - 57 * q^89 + 6 * q^90 + 3 * q^91 + 15 * q^92 - 72 * q^93 + 3 * q^94 - 15 * q^95 - 3 * q^97 - 72 * q^98 + 63 * q^99

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