LMFDB - Embedded newform 143.2.h.b.92.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [143,2,Mod(14,143)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(143, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("143.14");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 143 = 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	143.h (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.14186074890$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{5})$
Coefficient field:	16.0.273503893564697265625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 3 x^{15} + 7 x^{14} - 9 x^{13} + 19 x^{12} - 16 x^{11} + 49 x^{10} - 32 x^{9} + 98 x^{8} + \cdots + 1 $ x^16 - 3x^15 + 7x^14 - 9x^13 + 19x^12 - 16x^11 + 49x^10 - 32x^9 + 98x^8 - 110x^7 + 145x^6 - 40x^5 + 52x^4 + 24x^3 + 19x^2 + 6*x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			92.3
Root			$0.265544 - 0.817259i$ of defining polynomial
Character	$\chi$	$=$	143.92
Dual form			143.2.h.b.14.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.746262 + 0.542191i) q^{2} +(0.321770 - 0.990305i) q^{3} +(-0.355098 - 1.09288i) q^{4} +(0.296742 - 0.215596i) q^{5} +(0.777060 - 0.564567i) q^{6} +(-0.326279 - 1.00418i) q^{7} +(0.897647 - 2.76267i) q^{8} +(1.54988 + 1.12606i) q^{9} +O(q^{10})$	\(q+(0.746262 + 0.542191i) q^{2} +(0.321770 - 0.990305i) q^{3} +(-0.355098 - 1.09288i) q^{4} +(0.296742 - 0.215596i) q^{5} +(0.777060 - 0.564567i) q^{6} +(-0.326279 - 1.00418i) q^{7} +(0.897647 - 2.76267i) q^{8} +(1.54988 + 1.12606i) q^{9} +0.338341 q^{10} +(-0.644824 + 3.25334i) q^{11} -1.19654 q^{12} +(0.809017 + 0.587785i) q^{13} +(0.300970 - 0.926290i) q^{14} +(-0.118023 - 0.363237i) q^{15} +(0.308460 - 0.224109i) q^{16} +(-4.70352 + 3.41731i) q^{17} +(0.546081 + 1.68066i) q^{18} +(0.566628 - 1.74390i) q^{19} +(-0.340992 - 0.247745i) q^{20} -1.09944 q^{21} +(-2.24514 + 2.07822i) q^{22} +1.87405 q^{23} +(-2.44705 - 1.77789i) q^{24} +(-1.50351 + 4.62733i) q^{25} +(0.285047 + 0.877284i) q^{26} +(4.14106 - 3.00865i) q^{27} +(-0.981591 + 0.713168i) q^{28} +(1.41528 + 4.35577i) q^{29} +(0.108868 - 0.335061i) q^{30} +(-0.328626 - 0.238761i) q^{31} -5.45799 q^{32} +(3.01431 + 1.68540i) q^{33} -5.36289 q^{34} +(-0.313318 - 0.227639i) q^{35} +(0.680282 - 2.09369i) q^{36} +(-2.46986 - 7.60145i) q^{37} +(1.36838 - 0.994187i) q^{38} +(0.842404 - 0.612042i) q^{39} +(-0.329251 - 1.01333i) q^{40} +(-0.000168798 + 0.000519507i) q^{41} +(-0.820467 - 0.596104i) q^{42} -11.8466 q^{43} +(3.78448 - 0.450539i) q^{44} +0.702687 q^{45} +(1.39853 + 1.01609i) q^{46} +(0.814707 - 2.50741i) q^{47} +(-0.122683 - 0.377581i) q^{48} +(4.76119 - 3.45921i) q^{49} +(-3.63091 + 2.63801i) q^{50} +(1.87073 + 5.75751i) q^{51} +(0.355098 - 1.09288i) q^{52} +(9.92821 + 7.21327i) q^{53} +4.72158 q^{54} +(0.510059 + 1.10442i) q^{55} -3.06712 q^{56} +(-1.54467 - 1.12227i) q^{57} +(-1.30549 + 4.01790i) q^{58} +(-1.53160 - 4.71379i) q^{59} +(-0.355065 + 0.257970i) q^{60} +(-4.11950 + 2.99299i) q^{61} +(-0.115787 - 0.356356i) q^{62} +(0.625072 - 1.92378i) q^{63} +(-4.69001 - 3.40749i) q^{64} +0.366793 q^{65} +(1.33566 + 2.89208i) q^{66} +4.08687 q^{67} +(5.40492 + 3.92690i) q^{68} +(0.603013 - 1.85588i) q^{69} +(-0.110394 - 0.339757i) q^{70} +(3.71509 - 2.69917i) q^{71} +(4.50217 - 3.27102i) q^{72} +(0.826159 + 2.54266i) q^{73} +(2.27828 - 7.01181i) q^{74} +(4.09869 + 2.97787i) q^{75} -2.10708 q^{76} +(3.47734 - 0.413974i) q^{77} +0.960498 q^{78} +(0.564720 + 0.410293i) q^{79} +(0.0432160 - 0.133005i) q^{80} +(0.128987 + 0.396982i) q^{81} +(-0.000407640 + 0.000296167i) q^{82} +(9.56835 - 6.95181i) q^{83} +(0.390408 + 1.20155i) q^{84} +(-0.658975 + 2.02812i) q^{85} +(-8.84069 - 6.42314i) q^{86} +4.76893 q^{87} +(8.40908 + 4.70179i) q^{88} -14.3152 q^{89} +(0.524389 + 0.380991i) q^{90} +(0.326279 - 1.00418i) q^{91} +(-0.665472 - 2.04811i) q^{92} +(-0.342188 + 0.248614i) q^{93} +(1.96748 - 1.42946i) q^{94} +(-0.207835 - 0.639651i) q^{95} +(-1.75622 + 5.40508i) q^{96} +(-12.1831 - 8.85156i) q^{97} +5.42865 q^{98} +(-4.66284 + 4.31618i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 2 q^{2} + 5 q^{3} - 8 q^{4} + 5 q^{5} - 4 q^{6} + 9 q^{7} - 4 q^{8} - 7 q^{9}+O(q^{10}) $ 16 * q + 2 * q^2 + 5 * q^3 - 8 * q^4 + 5 * q^5 - 4 * q^6 + 9 * q^7 - 4 * q^8 - 7 * q^9	\( 16 q + 2 q^{2} + 5 q^{3} - 8 q^{4} + 5 q^{5} - 4 q^{6} + 9 q^{7} - 4 q^{8} - 7 q^{9} - 12 q^{10} + 6 q^{11} - 14 q^{12} + 4 q^{13} - q^{14} - 10 q^{15} + 10 q^{16} - 6 q^{17} + 20 q^{18} + 2 q^{19} - 21 q^{20} - 8 q^{21} + 2 q^{22} - 46 q^{23} + 3 q^{24} + 23 q^{25} + 3 q^{26} + 17 q^{27} - 9 q^{28} - 25 q^{29} + 22 q^{30} + 3 q^{31} + 24 q^{32} - 10 q^{33} + 4 q^{34} + 26 q^{35} - 2 q^{36} - 7 q^{37} + 5 q^{38} + 25 q^{40} - 3 q^{41} - 12 q^{42} - 16 q^{43} + 32 q^{44} - 46 q^{45} - 11 q^{46} + 13 q^{47} - 24 q^{48} + 19 q^{49} - 19 q^{50} - 23 q^{51} + 8 q^{52} - 14 q^{53} + 6 q^{54} - 5 q^{55} - 68 q^{56} + 23 q^{57} + 20 q^{58} + 16 q^{59} + 34 q^{60} - 13 q^{61} + 28 q^{62} + 18 q^{63} - 40 q^{64} + 10 q^{65} + 41 q^{66} - 62 q^{67} + 13 q^{68} + 4 q^{69} - 2 q^{70} + 54 q^{71} + 21 q^{72} - 42 q^{73} + 42 q^{74} + 51 q^{75} - 4 q^{76} + 14 q^{77} - 6 q^{78} - 15 q^{79} - 19 q^{80} + q^{81} - 7 q^{82} - 43 q^{83} - 35 q^{84} - 3 q^{85} - 32 q^{86} + 4 q^{87} + 41 q^{88} - 30 q^{89} + 26 q^{90} - 9 q^{91} + 3 q^{92} + 49 q^{93} + 4 q^{94} + 23 q^{95} + 23 q^{96} - 12 q^{97} + 24 q^{98} - 7 q^{99}+O(q^{100}) \) 16 * q + 2 * q^2 + 5 * q^3 - 8 * q^4 + 5 * q^5 - 4 * q^6 + 9 * q^7 - 4 * q^8 - 7 * q^9 - 12 * q^10 + 6 * q^11 - 14 * q^12 + 4 * q^13 - q^14 - 10 * q^15 + 10 * q^16 - 6 * q^17 + 20 * q^18 + 2 * q^19 - 21 * q^20 - 8 * q^21 + 2 * q^22 - 46 * q^23 + 3 * q^24 + 23 * q^25 + 3 * q^26 + 17 * q^27 - 9 * q^28 - 25 * q^29 + 22 * q^30 + 3 * q^31 + 24 * q^32 - 10 * q^33 + 4 * q^34 + 26 * q^35 - 2 * q^36 - 7 * q^37 + 5 * q^38 + 25 * q^40 - 3 * q^41 - 12 * q^42 - 16 * q^43 + 32 * q^44 - 46 * q^45 - 11 * q^46 + 13 * q^47 - 24 * q^48 + 19 * q^49 - 19 * q^50 - 23 * q^51 + 8 * q^52 - 14 * q^53 + 6 * q^54 - 5 * q^55 - 68 * q^56 + 23 * q^57 + 20 * q^58 + 16 * q^59 + 34 * q^60 - 13 * q^61 + 28 * q^62 + 18 * q^63 - 40 * q^64 + 10 * q^65 + 41 * q^66 - 62 * q^67 + 13 * q^68 + 4 * q^69 - 2 * q^70 + 54 * q^71 + 21 * q^72 - 42 * q^73 + 42 * q^74 + 51 * q^75 - 4 * q^76 + 14 * q^77 - 6 * q^78 - 15 * q^79 - 19 * q^80 + q^81 - 7 * q^82 - 43 * q^83 - 35 * q^84 - 3 * q^85 - 32 * q^86 + 4 * q^87 + 41 * q^88 - 30 * q^89 + 26 * q^90 - 9 * q^91 + 3 * q^92 + 49 * q^93 + 4 * q^94 + 23 * q^95 + 23 * q^96 - 12 * q^97 + 24 * q^98 - 7 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/143\mathbb{Z}\right)^\times$.

$n$	$67$	$79$
$\chi(n)$	$1$	$e\left(\frac{1}{5}\right)$

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 $

$2$	0.746262	+	0.542191i	0.527687	+	0.383387i	0.819492	−	0.573091i	$-0.194256\pi$
$2$	0.746262	+	0.542191i	0.527687	+	0.383387i	−0.291805	+	0.956478i	$0.594256\pi$
$3$	0.321770	−	0.990305i	0.185774	−	0.571753i	−0.814187	−	0.580603i	$-0.802817\pi$
$3$	0.321770	−	0.990305i	0.185774	−	0.571753i	0.999961	+	0.00884961i	$0.00281695\pi$
$4$	−0.355098	−	1.09288i	−0.177549	−	0.546440i
$5$	0.296742	−	0.215596i	0.132707	−	0.0964173i	−0.519451	−	0.854500i	$-0.673864\pi$
$5$	0.296742	−	0.215596i	0.132707	−	0.0964173i	0.652158	+	0.758083i	$0.273864\pi$
$6$	0.777060	−	0.564567i	0.317233	−	0.230483i
$7$	−0.326279	−	1.00418i	−0.123322	−	0.379546i	0.870270	−	0.492576i	$-0.163944\pi$
$7$	−0.326279	−	1.00418i	−0.123322	−	0.379546i	−0.993592	+	0.113030i	$0.963944\pi$
$8$	0.897647	−	2.76267i	0.317366	−	0.976753i
$9$	1.54988	+	1.12606i	0.516627	+	0.375352i
$10$	0.338341			0.106993
$11$	−0.644824	+	3.25334i	−0.194422	+	0.980918i
$11$	−0.644824	+	3.25334i	−0.194422	+	0.980918i
$12$	−1.19654			−0.345413
$13$	0.809017	+	0.587785i	0.224381	+	0.163022i
$13$	0.809017	+	0.587785i	0.224381	+	0.163022i
$14$	0.300970	−	0.926290i	0.0804376	−	0.247562i
$15$	−0.118023	−	0.363237i	−0.0304734	−	0.0937874i
$16$	0.308460	−	0.224109i	0.0771149	−	0.0560273i
$17$	−4.70352	+	3.41731i	−1.14077	+	0.828819i	−0.987227	−	0.159323i	$-0.949069\pi$
$17$	−4.70352	+	3.41731i	−1.14077	+	0.828819i	−0.153545	+	0.988142i	$0.549069\pi$
$18$	0.546081	+	1.68066i	0.128713	+	0.396136i
$19$	0.566628	−	1.74390i	0.129993	−	0.400079i	−0.864784	−	0.502143i	$-0.832545\pi$
$19$	0.566628	−	1.74390i	0.129993	−	0.400079i	0.994778	+	0.102065i	$0.0325449\pi$
$20$	−0.340992	−	0.247745i	−0.0762482	−	0.0553976i
$21$	−1.09944			−0.239917
$22$	−2.24514	+	2.07822i	−0.478665	+	0.443079i
$23$	1.87405			0.390767			0.195383	−	0.980727i	$-0.437405\pi$
$23$	1.87405			0.390767			0.195383	+	0.980727i	$0.437405\pi$
$24$	−2.44705	−	1.77789i	−0.499503	−	0.362910i
$25$	−1.50351	+	4.62733i	−0.300702	+	0.925466i
$26$	0.285047	+	0.877284i	0.0559023	+	0.172050i
$27$	4.14106	−	3.00865i	0.796947	−	0.579016i
$28$	−0.981591	+	0.713168i	−0.185503	+	0.134776i
$29$	1.41528	+	4.35577i	0.262810	+	0.808846i	0.992190	+	0.124737i	$0.0398087\pi$
$29$	1.41528	+	4.35577i	0.262810	+	0.808846i	−0.729380	+	0.684109i	$0.760191\pi$
$30$	0.108868	−	0.335061i	0.0198765	−	0.0611735i
$31$	−0.328626	−	0.238761i	−0.0590230	−	0.0428827i	0.557883	−	0.829920i	$-0.311614\pi$
$31$	−0.328626	−	0.238761i	−0.0590230	−	0.0428827i	−0.616906	+	0.787037i	$0.711614\pi$
$32$	−5.45799			−0.964846
$33$	3.01431	+	1.68540i	0.524724	+	0.293390i
$34$	−5.36289			−0.919729
$35$	−0.313318	−	0.227639i	−0.0529605	−	0.0384780i
$36$	0.680282	−	2.09369i	0.113380	−	0.348949i
$37$	−2.46986	−	7.60145i	−0.406043	−	1.24967i	−0.920021	−	0.391868i	$-0.871829\pi$
$37$	−2.46986	−	7.60145i	−0.406043	−	1.24967i	0.513979	−	0.857803i	$-0.328171\pi$
$38$	1.36838	−	0.994187i	0.221981	−	0.161279i
$39$	0.842404	−	0.612042i	0.134893	−	0.0980052i
$40$	−0.329251	−	1.01333i	−0.0520591	−	0.160221i
$41$	−0.000168798	0	0.000519507i	−2.63618e−5	0	8.11333e-5i	−0.951070	−	0.308976i	$-0.900014\pi$
$41$	−0.000168798	0	0.000519507i	−2.63618e−5	0	8.11333e-5i	0.951043	+	0.309058i	$0.100014\pi$
$42$	−0.820467	−	0.596104i	−0.126601	−	0.0919809i
$43$	−11.8466			−1.80659			−0.903297	−	0.429015i	$-0.858861\pi$
$43$	−11.8466			−1.80659			−0.903297	+	0.429015i	$0.858861\pi$
$44$	3.78448	−	0.450539i	0.570532	−	0.0679213i
$45$	0.702687			0.104750
$46$	1.39853	+	1.01609i	0.206202	+	0.149815i
$47$	0.814707	−	2.50741i	0.118837	−	0.365743i	−0.873891	−	0.486122i	$-0.838411\pi$
$47$	0.814707	−	2.50741i	0.118837	−	0.365743i	0.992728	+	0.120379i	$0.0384110\pi$
$48$	−0.122683	−	0.377581i	−0.0177078	−	0.0544991i
$49$	4.76119	−	3.45921i	0.680170	−	0.494173i
$50$	−3.63091	+	2.63801i	−0.513488	+	0.373071i
$51$	1.87073	+	5.75751i	0.261954	+	0.806213i
$52$	0.355098	−	1.09288i	0.0492432	−	0.151555i
$53$	9.92821	+	7.21327i	1.36374	+	0.990819i	0.998197	+	0.0600260i	$0.0191184\pi$
$53$	9.92821	+	7.21327i	1.36374	+	0.990819i	0.365548	+	0.930793i	$0.380882\pi$
$54$	4.72158			0.642526
$55$	0.510059	+	1.10442i	0.0687763	+	0.148920i
$56$	−3.06712			−0.409861
$57$	−1.54467	−	1.12227i	−0.204597	−	0.148648i
$58$	−1.30549	+	4.01790i	−0.171420	+	0.527576i
$59$	−1.53160	−	4.71379i	−0.199398	−	0.613684i	−0.999897	−	0.0143497i	$-0.995432\pi$
$59$	−1.53160	−	4.71379i	−0.199398	−	0.613684i	0.800499	−	0.599334i	$-0.204568\pi$
$60$	−0.355065	+	0.257970i	−0.0458387	+	0.0333037i
$61$	−4.11950	+	2.99299i	−0.527448	+	0.383213i	−0.819402	−	0.573219i	$-0.805694\pi$
$61$	−4.11950	+	2.99299i	−0.527448	+	0.383213i	0.291955	+	0.956432i	$0.405694\pi$
$62$	−0.115787	−	0.356356i	−0.0147050	−	0.0452573i
$63$	0.625072	−	1.92378i	0.0787517	−	0.242373i
$64$	−4.69001	−	3.40749i	−0.586252	−	0.425937i
$65$	0.366793			0.0454951
$66$	1.33566	+	2.89208i	0.164408	+	0.355991i
$67$	4.08687			0.499290			0.249645	−	0.968337i	$-0.419686\pi$
$67$	4.08687			0.499290			0.249645	+	0.968337i	$0.419686\pi$
$68$	5.40492	+	3.92690i	0.655442	+	0.476207i
$69$	0.603013	−	1.85588i	0.0725942	−	0.223422i
$70$	−0.110394	−	0.339757i	−0.0131946	−	0.0406087i
$71$	3.71509	−	2.69917i	0.440900	−	0.320333i	−0.345092	−	0.938569i	$-0.612152\pi$
$71$	3.71509	−	2.69917i	0.440900	−	0.320333i	0.785993	+	0.618236i	$0.212152\pi$
$72$	4.50217	−	3.27102i	0.530586	−	0.385493i
$73$	0.826159	+	2.54266i	0.0966946	+	0.297595i	0.987692	−	0.156414i	$-0.0499933\pi$
$73$	0.826159	+	2.54266i	0.0966946	+	0.297595i	−0.890997	+	0.454009i	$0.849993\pi$
$74$	2.27828	−	7.01181i	0.264844	−	0.815107i
$75$	4.09869	+	2.97787i	0.473276	+	0.343855i
$76$	−2.10708			−0.241699
$77$	3.47734	−	0.413974i	0.396280	−	0.0471768i
$78$	0.960498			0.108755
$79$	0.564720	+	0.410293i	0.0635360	+	0.0461616i	0.619100	−	0.785312i	$-0.287498\pi$
$79$	0.564720	+	0.410293i	0.0635360	+	0.0461616i	−0.555564	+	0.831474i	$0.687498\pi$
$80$	0.0432160	−	0.133005i	0.00483169	−	0.0148704i
$81$	0.128987	+	0.396982i	0.0143319	+	0.0441091i
$82$	−0.000407640	0	0.000296167i	−4.50163e−5	0	3.27062e-5i
$83$	9.56835	−	6.95181i	1.05026	−	0.763061i	0.0780005	−	0.996953i	$-0.475146\pi$
$83$	9.56835	−	6.95181i	1.05026	−	0.763061i	0.972262	+	0.233893i	$0.0751464\pi$
$84$	0.390408	+	1.20155i	0.0425970	+	0.131100i
$85$	−0.658975	+	2.02812i	−0.0714759	+	0.219980i
$86$	−8.84069	−	6.42314i	−0.953317	−	0.692625i
$87$	4.76893			0.511283
$88$	8.40908	+	4.70179i	0.896411	+	0.501212i
$89$	−14.3152			−1.51741			−0.758704	−	0.651435i	$-0.774167\pi$
$89$	−14.3152			−1.51741			−0.758704	+	0.651435i	$0.774167\pi$
$90$	0.524389	+	0.380991i	0.0552754	+	0.0401600i
$91$	0.326279	−	1.00418i	0.0342034	−	0.105267i
$92$	−0.665472	−	2.04811i	−0.0693802	−	0.213530i
$93$	−0.342188	+	0.248614i	−0.0354832	+	0.0257801i
$94$	1.96748	−	1.42946i	0.202930	−	0.147437i
$95$	−0.207835	−	0.639651i	−0.0213234	−	0.0656268i
$96$	−1.75622	+	5.40508i	−0.179243	+	0.551654i
$97$	−12.1831	−	8.85156i	−1.23701	−	0.898739i	−0.239613	−	0.970868i	$-0.577021\pi$
$97$	−12.1831	−	8.85156i	−1.23701	−	0.898739i	−0.997395	+	0.0721290i	$0.977021\pi$
$98$	5.42865			0.548376
$99$	−4.66284	+	4.31618i	−0.468633	+	0.433792i
$100$	5.59101			0.559101
$101$	10.1782	+	7.39492i	1.01277	+	0.735822i	0.964789	−	0.263026i	$-0.0847206\pi$
$101$	10.1782	+	7.39492i	1.01277	+	0.735822i	0.0479833	+	0.998848i	$0.484721\pi$
$102$	−1.72562	+	5.31090i	−0.170862	+	0.525858i
$103$	−3.97415	−	12.2312i	−0.391585	−	1.20517i	−0.931589	−	0.363512i	$-0.881577\pi$
$103$	−3.97415	−	12.2312i	−0.391585	−	1.20517i	0.540004	−	0.841662i	$-0.318423\pi$
$104$	2.35007	−	1.70743i	0.230443	−	0.167427i
$105$	−0.326249	+	0.237033i	−0.0318386	+	0.0231321i
$106$	3.49808	+	10.7660i	0.339763	+	1.04568i
$107$	3.93066	−	12.0973i	0.379991	−	1.16949i	−0.560059	−	0.828453i	$-0.689221\pi$
$107$	3.93066	−	12.0973i	0.379991	−	1.16949i	0.940049	−	0.341038i	$-0.110779\pi$
$108$	−4.75858	−	3.45731i	−0.457894	−	0.332680i
$109$	−10.0078			−0.958575			−0.479288	−	0.877658i	$-0.659105\pi$
$109$	−10.0078			−0.958575			−0.479288	+	0.877658i	$0.659105\pi$
$110$	−0.218170	+	1.10074i	−0.0208017	+	0.104951i
$111$	−8.32249			−0.789936
$112$	−0.325691	−	0.236628i	−0.0307749	−	0.0223593i
$113$	−1.27591	+	3.92684i	−0.120027	+	0.369406i	−0.992962	−	0.118431i	$-0.962214\pi$
$113$	−1.27591	+	3.92684i	−0.120027	+	0.369406i	0.872935	+	0.487836i	$0.162214\pi$
$114$	−0.544245	−	1.67502i	−0.0509733	−	0.156880i
$115$	0.556109	−	0.404037i	0.0518574	−	0.0376766i
$116$	4.25777	−	3.09345i	0.395324	−	0.287220i
$117$	0.592002	+	1.82200i	0.0547306	+	0.168444i
$118$	1.41280	−	4.34815i	0.130059	−	0.400279i
$119$	4.96627	+	3.60820i	0.455257	+	0.330764i
$120$	−1.10945			−0.101278
$121$	−10.1684	−	4.19566i	−0.924400	−	0.381424i
$122$	−4.69700			−0.425246
$123$	0.000460156	0	0.000334323i	4.14909e−5	0	3.01449e-5i
$124$	−0.144242	+	0.443932i	−0.0129533	+	0.0398663i
$125$	1.11820	+	3.44148i	0.100015	+	0.307815i
$126$	1.50952	−	1.09673i	0.134479	−	0.0977046i
$127$	−2.77637	+	2.01715i	−0.246363	+	0.178993i	−0.704113	−	0.710088i	$-0.748655\pi$
$127$	−2.77637	+	2.01715i	−0.246363	+	0.178993i	0.457750	+	0.889081i	$0.348655\pi$
$128$	1.72076	+	5.29595i	0.152095	+	0.468100i
$129$	−3.81189	+	11.7318i	−0.335618	+	1.03293i
$130$	0.273724	+	0.198872i	0.0240072	+	0.0174422i
$131$	−6.51214			−0.568969			−0.284484	−	0.958681i	$-0.591822\pi$
$131$	−6.51214			−0.568969			−0.284484	+	0.958681i	$0.591822\pi$
$132$	0.771560	−	3.89276i	0.0671557	−	0.338821i
$133$	−1.93608			−0.167879
$134$	3.04987	+	2.21586i	0.263469	+	0.191421i
$135$	0.580172	−	1.78559i	0.0499333	−	0.153679i
$136$	5.21880	+	16.0618i	0.447509	+	1.37729i
$137$	−3.66184	+	2.66048i	−0.312852	+	0.227300i	−0.733119	−	0.680100i	$-0.761936\pi$
$137$	−3.66184	+	2.66048i	−0.312852	+	0.227300i	0.420267	+	0.907400i	$0.361936\pi$
$138$	1.45625	−	1.05803i	0.123964	−	0.0900652i
$139$	−3.72863	−	11.4755i	−0.316258	−	0.973342i	−0.975234	−	0.221178i	$-0.929010\pi$
$139$	−3.72863	−	11.4755i	−0.316258	−	0.973342i	0.658976	−	0.752164i	$-0.270990\pi$
$140$	−0.137523	+	0.423253i	−0.0116228	+	0.0357714i
$141$	−2.22095	−	1.61362i	−0.187038	−	0.135891i
$142$	4.23590			0.355469
$143$	−2.43394	+	2.25299i	−0.203536	+	0.188404i
$144$	0.730435			0.0608696
$145$	1.35906	+	0.987412i	0.112863	+	0.0820001i
$146$	−0.762075	+	2.34542i	−0.0630698	+	0.194109i
$147$	−1.89367	−	5.82810i	−0.156187	−	0.480694i
$148$	−7.43043	+	5.39852i	−0.610777	+	0.443756i
$149$	−6.89771	+	5.01148i	−0.565083	+	0.410557i	−0.833316	−	0.552797i	$-0.813560\pi$
$149$	−6.89771	+	5.01148i	−0.565083	+	0.410557i	0.268233	+	0.963354i	$0.413560\pi$
$150$	1.44412	+	4.44454i	0.117912	+	0.362895i
$151$	−4.92418	+	15.1551i	−0.400724	+	1.23330i	0.523689	+	0.851909i	$0.324555\pi$
$151$	−4.92418	+	15.1551i	−0.400724	+	1.23330i	−0.924413	+	0.381392i	$0.875445\pi$
$152$	−4.30920	−	3.13082i	−0.349522	−	0.253943i
$153$	−11.1380			−0.900452
$154$	2.81946	+	1.57645i	0.227199	+	0.127034i
$155$	−0.148993			−0.0119674
$156$	−0.968025	−	0.703311i	−0.0775040	−	0.0563100i
$157$	0.311098	−	0.957462i	0.0248283	−	0.0764138i	−0.937875	−	0.346974i	$-0.887209\pi$
$157$	0.311098	−	0.957462i	0.0248283	−	0.0764138i	0.962703	+	0.270561i	$0.0872091\pi$
$158$	0.198972	+	0.612373i	0.0158294	+	0.0487177i
$159$	10.3379	−	7.51095i	0.819852	−	0.595657i
$160$	−1.61961	+	1.17672i	−0.128042	+	0.0930278i
$161$	−0.611464	−	1.88189i	−0.0481901	−	0.148314i
$162$	−0.118982	+	0.366188i	−0.00934809	+	0.0287705i
$163$	−0.843752	−	0.613022i	−0.0660877	−	0.0480156i	0.554251	−	0.832350i	$-0.313005\pi$
$163$	−0.843752	−	0.613022i	−0.0660877	−	0.0480156i	−0.620339	+	0.784334i	$0.713005\pi$
$164$	0.000627698	0		4.90150e−5	0
$165$	1.25784	−	0.149744i	0.0979225	−	0.0116576i
$166$	10.9097			0.846758
$167$	−7.14608	−	5.19193i	−0.552980	−	0.401763i	0.275903	−	0.961185i	$-0.411023\pi$
$167$	−7.14608	−	5.19193i	−0.552980	−	0.401763i	−0.828883	+	0.559422i	$0.811023\pi$
$168$	−0.986905	+	3.03738i	−0.0761414	+	0.234339i
$169$	0.309017	+	0.951057i	0.0237705	+	0.0731582i
$170$	−1.59139	+	1.15622i	−0.122054	+	0.0886777i
$171$	2.84194	−	2.06479i	0.217328	−	0.157898i
$172$	4.20672	+	12.9469i	0.320759	+	0.987195i
$173$	−1.21594	+	3.74228i	−0.0924462	+	0.284520i	−0.986580	−	0.163280i	$-0.947793\pi$
$173$	−1.21594	+	3.74228i	−0.0924462	+	0.284520i	0.894133	+	0.447801i	$0.147793\pi$
$174$	3.55888	+	2.58567i	0.269798	+	0.196019i
$175$	5.13726			0.388340
$176$	0.530200	+	1.14803i	0.0399654	+	0.0865364i
$177$	−5.16092			−0.387918
$178$	−10.6829	−	7.76158i	−0.800717	−	0.581755i
$179$	0.536093	−	1.64992i	0.0400695	−	0.123321i	−0.929021	−	0.370027i	$-0.879348\pi$
$179$	0.536093	−	1.64992i	0.0400695	−	0.123321i	0.969090	+	0.246706i	$0.0793483\pi$
$180$	−0.249523	−	0.767952i	−0.0185983	−	0.0572398i
$181$	17.1809	−	12.4827i	1.27705	−	0.927829i	0.277588	−	0.960700i	$-0.410465\pi$
$181$	17.1809	−	12.4827i	1.27705	−	0.927829i	0.999460	+	0.0328709i	$0.0104650\pi$
$182$	0.787950	−	0.572479i	0.0584067	−	0.0424350i
$183$	1.63844	+	5.04262i	0.121117	+	0.372761i
$184$	1.68224	−	5.17739i	0.124016	−	0.381682i
$185$	−2.37175	−	1.72318i	−0.174375	−	0.126691i
$186$	−0.390158			−0.0286078
$187$	−8.08471	−	17.5057i	−0.591213	−	1.28014i
$188$	−3.02960			−0.220956
$189$	−4.37238	−	3.17672i	−0.318044	−	0.231073i
$190$	0.191714	−	0.590034i	0.0139084	−	0.0428056i
$191$	6.66250	+	20.5051i	0.482082	+	1.48370i	0.836163	+	0.548481i	$0.184794\pi$
$191$	6.66250	+	20.5051i	0.482082	+	1.48370i	−0.354081	+	0.935215i	$0.615206\pi$
$192$	−4.88356	+	3.54812i	−0.352441	+	0.256063i
$193$	5.13996	−	3.73440i	0.369982	−	0.268808i	−0.387221	−	0.921987i	$-0.626565\pi$
$193$	5.13996	−	3.73440i	0.369982	−	0.268808i	0.757204	+	0.653179i	$0.226565\pi$
$194$	−4.29257	−	13.2112i	−0.308188	−	0.948506i
$195$	0.118023	−	0.363237i	0.00845180	−	0.0260120i
$196$	−5.47119	−	3.97505i	−0.390799	−	0.283932i
$197$	18.8680			1.34429			0.672143	−	0.740421i	$-0.265374\pi$
$197$	18.8680			1.34429			0.672143	+	0.740421i	$0.265374\pi$
$198$	−5.81989	+	0.692853i	−0.413602	+	0.0492389i
$199$	10.5100			0.745038			0.372519	−	0.928025i	$-0.378494\pi$
$199$	10.5100			0.745038			0.372519	+	0.928025i	$0.378494\pi$
$200$	11.4342	+	8.30742i	0.808519	+	0.587423i
$201$	1.31503	−	4.04725i	0.0927550	−	0.285471i
$202$	3.58617	+	11.0371i	0.252322	+	0.776567i
$203$	3.91222	−	2.84239i	0.274584	−	0.199497i
$204$	5.62797	−	4.08896i	0.394037	−	0.286284i
$205$	6.19139e−5	0	0.000190551i	4.32426e−6	0	1.33087e-5i
$206$	3.66588	−	11.2824i	0.255414	−	0.786084i
$207$	2.90456	+	2.11028i	0.201881	+	0.146675i
$208$	0.381277			0.0264368
$209$	5.30813	+	2.96794i	0.367171	+	0.205297i
$210$	−0.371984			−0.0256694
$211$	1.83794	+	1.33534i	0.126529	+	0.0919289i	0.649250	−	0.760575i	$-0.275083\pi$
$211$	1.83794	+	1.33534i	0.126529	+	0.0919289i	−0.522721	+	0.852504i	$0.675083\pi$
$212$	4.35774	−	13.4118i	0.299291	−	0.921123i
$213$	−1.47760	−	4.54759i	−0.101244	−	0.311596i
$214$	9.49236	−	6.89660i	0.648884	−	0.471442i
$215$	−3.51539	+	2.55408i	−0.239748	+	0.174187i
$216$	−4.59472	−	14.1411i	−0.312631	−	0.962180i
$217$	−0.132536	+	0.407904i	−0.00899712	+	0.0276903i
$218$	−7.46846	−	5.42615i	−0.505828	−	0.367505i
$219$	2.78384			0.188114
$220$	1.02588	−	0.949611i	0.0691648	−	0.0640228i
$221$	−5.81387			−0.391083
$222$	−6.21076	−	4.51238i	−0.416839	−	0.302851i
$223$	4.31290	−	13.2737i	0.288813	−	0.888875i	−0.696417	−	0.717637i	$-0.745223\pi$
$223$	4.31290	−	13.2737i	0.288813	−	0.888875i	0.985230	−	0.171237i	$-0.0547765\pi$
$224$	1.78083	+	5.48083i	0.118987	+	0.366203i
$225$	−7.54089	+	5.47878i	−0.502726	+	0.365252i
$226$	−3.08126	+	2.23866i	−0.204962	+	0.148914i
$227$	−7.21193	−	22.1960i	−0.478672	−	1.47320i	−0.840940	−	0.541128i	$-0.817997\pi$
$227$	−7.21193	−	22.1960i	−0.478672	−	1.47320i	0.362268	−	0.932074i	$-0.382003\pi$
$228$	−0.677996	+	2.08666i	−0.0449014	+	0.138192i
$229$	15.8727	+	11.5322i	1.04889	+	0.762067i	0.972002	−	0.234973i	$-0.0755000\pi$
$229$	15.8727	+	11.5322i	1.04889	+	0.762067i	0.0768930	+	0.997039i	$0.475500\pi$
$230$	0.634068			0.0418092
$231$	0.708943	−	3.57684i	0.0466450	−	0.235339i
$232$	13.3040			0.873449
$233$	7.09493	+	5.15477i	0.464804	+	0.337700i	0.795413	−	0.606068i	$-0.207254\pi$
$233$	7.09493	+	5.15477i	0.464804	+	0.337700i	−0.330609	+	0.943768i	$0.607254\pi$
$234$	−0.546081	+	1.68066i	−0.0356984	+	0.109868i
$235$	−0.298829	−	0.919701i	−0.0194934	−	0.0599947i
$236$	−4.60774	+	3.34772i	−0.299938	+	0.217918i
$237$	0.588025	−	0.427225i	0.0381964	−	0.0277513i
$238$	1.74980	+	5.38533i	0.113423	+	0.349079i
$239$	−4.57089	+	14.0678i	−0.295666	+	0.909967i	0.687331	+	0.726345i	$0.258782\pi$
$239$	−4.57089	+	14.0678i	−0.295666	+	0.909967i	−0.982997	+	0.183622i	$0.941218\pi$
$240$	−0.117810	−	0.0855940i	−0.00760461	−	0.00552507i
$241$	16.4874			1.06204			0.531022	−	0.847358i	$-0.321808\pi$
$241$	16.4874			1.06204			0.531022	+	0.847358i	$0.321808\pi$
$242$	−5.31345	−	8.64428i	−0.341561	−	0.555675i
$243$	15.7905			1.01296
$244$	4.73380	+	3.43931i	0.303051	+	0.220179i
$245$	0.667055	−	2.05298i	0.0426166	−	0.131160i
$246$	0.000162130	0	0.000498985i	1.03370e−5	0	3.18141e-5i
$247$	1.48345	−	1.07779i	0.0943898	−	0.0685782i
$248$	−0.954608	+	0.693563i	−0.0606177	+	0.0440413i
$249$	−3.80561	−	11.7125i	−0.241171	−	0.742248i
$250$	−1.03147	+	3.17452i	−0.0652356	+	0.200775i
$251$	22.8666	+	16.6135i	1.44333	+	1.04864i	0.987334	+	0.158653i	$0.0507151\pi$
$251$	22.8666	+	16.6135i	1.44333	+	1.04864i	0.455991	+	0.889984i	$0.349285\pi$
$252$	−2.32442			−0.146424
$253$	−1.20843	+	6.09692i	−0.0759735	+	0.383310i
$254$	−3.16558			−0.198626
$255$	1.79642	+	1.30517i	0.112496	+	0.0817331i
$256$	−5.17013	+	15.9120i	−0.323133	+	0.994502i
$257$	−4.26934	−	13.1397i	−0.266314	−	0.819630i	−0.991388	−	0.130959i	$-0.958194\pi$
$257$	−4.26934	−	13.1397i	−0.266314	−	0.819630i	0.725074	−	0.688671i	$-0.241806\pi$
$258$	−9.20554	+	6.68822i	−0.573112	+	0.416390i
$259$	−6.82739	+	4.96039i	−0.424234	+	0.308224i
$260$	−0.130247	−	0.400861i	−0.00807761	−	0.0248603i
$261$	−2.71133	+	8.34460i	−0.167827	+	0.516518i
$262$	−4.85977	−	3.53083i	−0.300237	−	0.218135i
$263$	−10.7474			−0.662715			−0.331357	−	0.943505i	$-0.607507\pi$
$263$	−10.7474			−0.662715			−0.331357	+	0.943505i	$0.607507\pi$
$264$	7.36199	−	6.81467i	0.453099	−	0.419414i
$265$	4.50126			0.276510
$266$	−1.44482	−	1.04972i	−0.0885877	−	0.0643627i
$267$	−4.60620	+	14.1764i	−0.281895	+	0.867583i
$268$	−1.45124	−	4.46645i	−0.0886485	−	0.272832i
$269$	−15.8959	+	11.5490i	−0.969190	+	0.704158i	−0.955267	−	0.295745i	$-0.904432\pi$
$269$	−15.8959	+	11.5490i	−0.969190	+	0.704158i	−0.0139233	+	0.999903i	$0.504432\pi$
$270$	1.40109	−	1.01795i	0.0852676	−	0.0619505i
$271$	4.57858	+	14.0914i	0.278129	+	0.855993i	0.988375	+	0.152039i	$0.0485838\pi$
$271$	4.57858	+	14.0914i	0.278129	+	0.855993i	−0.710246	+	0.703954i	$0.751416\pi$
$272$	−0.684997	+	2.10820i	−0.0415341	+	0.127829i
$273$	−0.889462	−	0.646232i	−0.0538327	−	0.0391118i
$274$	−4.17518			−0.252232
$275$	−14.0848	−	7.87524i	−0.849343	−	0.474895i
$276$	−2.24238			−0.134976
$277$	7.49829	+	5.44783i	0.450529	+	0.327328i	0.789805	−	0.613359i	$-0.210182\pi$
$277$	7.49829	+	5.44783i	0.450529	+	0.327328i	−0.339276	+	0.940687i	$0.610182\pi$
$278$	3.43940	−	10.5854i	0.206282	−	0.634869i
$279$	−0.240474	−	0.740102i	−0.0143968	−	0.0443087i
$280$	−0.910142	+	0.661257i	−0.0543914	+	0.0395176i
$281$	−13.2275	+	9.61032i	−0.789085	+	0.573304i	−0.907692	−	0.419637i	$-0.862157\pi$
$281$	−13.2275	+	9.61032i	−0.789085	+	0.573304i	0.118607	+	0.992941i	$0.462157\pi$
$282$	−0.782525	−	2.40836i	−0.0465987	−	0.143416i
$283$	−4.36691	+	13.4400i	−0.259586	+	0.798924i	0.733305	+	0.679900i	$0.237977\pi$
$283$	−4.36691	+	13.4400i	−0.259586	+	0.798924i	−0.992891	+	0.119024i	$0.962023\pi$
$284$	−4.26909	−	3.10168i	−0.253324	−	0.184051i
$285$	−0.700325			−0.0414837
$286$	−3.03791	+	0.361660i	−0.179635	+	0.0213854i
$287$	0.000576756	0		3.40448e−5	0
$288$	−8.45924	−	6.14600i	−0.498466	−	0.362156i
$289$	5.19183	−	15.9788i	0.305402	−	0.939929i
$290$	0.478846	+	1.47374i	0.0281188	+	0.0865408i
$291$	−12.6859	+	9.21685i	−0.743661	+	0.540301i
$292$	2.48545	−	1.80578i	0.145450	−	0.105676i
$293$	−8.69033	−	26.7461i	−0.507695	−	1.56252i	−0.796193	−	0.605043i	$-0.793156\pi$
$293$	−8.69033	−	26.7461i	−0.507695	−	1.56252i	0.288498	−	0.957480i	$-0.406844\pi$
$294$	1.74678	−	5.37602i	0.101874	−	0.313536i
$295$	−1.47076	−	1.06857i	−0.0856312	−	0.0622147i
$296$	−23.2174			−1.34948
$297$	7.11791	+	15.4123i	0.413023	+	0.894313i
$298$	−7.86469			−0.455589
$299$	1.51614	+	1.10154i	0.0876806	+	0.0637037i
$300$	1.79902	−	5.53681i	0.103866	−	0.319668i
$301$	3.86531	+	11.8962i	0.222793	+	0.685686i
$302$	−11.8917	+	8.63980i	−0.684289	+	0.497165i
$303$	10.5983	−	7.70010i	0.608855	−	0.442359i
$304$	−0.216042	−	0.664910i	−0.0123909	−	0.0381352i
$305$	−0.577152	+	1.77629i	−0.0330476	+	0.101710i
$306$	−8.31185	−	6.03891i	−0.475157	−	0.345222i
$307$	30.2633			1.72722			0.863608	−	0.504163i	$-0.168199\pi$
$307$	30.2633			1.72722			0.863608	+	0.504163i	$0.168199\pi$
$308$	−1.68722	−	3.65331i	−0.0961384	−	0.208167i
$309$	−13.3914			−0.761809
$310$	−0.111188	−	0.0807826i	−0.00631504	−	0.00458814i
$311$	−4.17087	+	12.8366i	−0.236509	+	0.727898i	0.760409	+	0.649444i	$0.224998\pi$
$311$	−4.17087	+	12.8366i	−0.236509	+	0.727898i	−0.996918	+	0.0784541i	$0.975002\pi$
$312$	−0.934692	−	2.87669i	−0.0529165	−	0.162860i
$313$	−16.9212	+	12.2939i	−0.956440	+	0.694894i	−0.952321	−	0.305097i	$-0.901311\pi$
$313$	−16.9212	+	12.2939i	−0.956440	+	0.694894i	−0.00411880	+	0.999992i	$0.501311\pi$
$314$	0.751288	−	0.545843i	0.0423976	−	0.0308037i
$315$	−0.229272	−	0.705627i	−0.0129180	−	0.0397576i
$316$	0.247870	−	0.762865i	0.0139438	−	0.0429145i
$317$	21.2460	+	15.4361i	1.19329	+	0.866977i	0.993608	−	0.112883i	$-0.0360085\pi$
$317$	21.2460	+	15.4361i	1.19329	+	0.866977i	0.199684	+	0.979860i	$0.436009\pi$
$318$	11.7872			0.660992
$319$	−15.0834	+	1.79566i	−0.844508	+	0.100538i
$320$	−2.12636			−0.118867
$321$	−10.7153	−	7.78510i	−0.598068	−	0.434522i
$322$	0.564033	−	1.73591i	0.0314323	−	0.0967388i
$323$	3.29430	+	10.1388i	0.183300	+	0.564139i
$324$	0.388050	−	0.281935i	0.0215583	−	0.0156630i
$325$	−3.93624	+	2.85985i	−0.218343	+	0.158636i
$326$	−0.297285	−	0.914950i	−0.0164651	−	0.0506744i
$327$	−3.22021	+	9.91080i	−0.178078	+	0.548069i
$328$	0.00128371		0.000932667i	7.08808e−5		5.14979e-5i
$329$	−2.78372			−0.153472
$330$	1.01987	+	0.570240i	0.0561418	+	0.0313907i
$331$	25.2184			1.38613			0.693065	−	0.720875i	$-0.256260\pi$
$331$	25.2184			1.38613			0.693065	+	0.720875i	$0.256260\pi$
$332$	−10.9952	−	7.98848i	−0.603440	−	0.438425i
$333$	4.73166	−	14.5626i	0.259293	−	0.798023i
$334$	−2.51783	−	7.74908i	−0.137769	−	0.424011i
$335$	1.21274	−	0.881110i	0.0662593	−	0.0481402i
$336$	−0.339132	+	0.246394i	−0.0185012	+	0.0134419i
$337$	−1.40673	−	4.32948i	−0.0766297	−	0.235842i	0.905403	−	0.424553i	$-0.139569\pi$
$337$	−1.40673	−	4.32948i	−0.0766297	−	0.235842i	−0.982033	+	0.188711i	$0.939569\pi$
$338$	−0.285047	+	0.877284i	−0.0155045	+	0.0477180i
$339$	3.47822	+	2.52707i	0.188911	+	0.137252i
$340$	2.45049			0.132896
$341$	0.988675	−	0.915172i	0.0535398	−	0.0495594i
$342$	3.24034			0.175217
$343$	−11.0066	−	7.99678i	−0.594302	−	0.431786i
$344$	−10.6341	+	32.7284i	−0.573352	+	1.76460i
$345$	−0.221181	−	0.680725i	−0.0119080	−	0.0366490i
$346$	−2.93644	+	2.13345i	−0.157864	+	0.114695i
$347$	−4.34462	+	3.15655i	−0.233231	+	0.169452i	−0.698262	−	0.715842i	$-0.746043\pi$
$347$	−4.34462	+	3.15655i	−0.233231	+	0.169452i	0.465031	+	0.885294i	$0.346043\pi$
$348$	−1.69344	−	5.21187i	−0.0907779	−	0.279386i
$349$	10.9117	−	33.5827i	0.584089	−	1.79764i	−0.0188095	−	0.999823i	$-0.505988\pi$
$349$	10.9117	−	33.5827i	0.584089	−	1.79764i	0.602899	−	0.797818i	$-0.294012\pi$
$350$	3.83374	+	2.78538i	0.204922	+	0.148885i
$351$	5.11863			0.273212
$352$	3.51944	−	17.7567i	0.187587	−	0.946435i
$353$	−15.4108			−0.820237			−0.410118	−	0.912032i	$-0.634513\pi$
$353$	−15.4108			−0.820237			−0.410118	+	0.912032i	$0.634513\pi$
$354$	−3.85140	−	2.79820i	−0.204700	−	0.148723i
$355$	0.520494	−	1.60191i	0.0276249	−	0.0850208i
$356$	5.08330	+	15.6448i	0.269414	+	0.829172i
$357$	5.17122	−	3.75711i	0.273690	−	0.198847i
$358$	1.29464	−	0.940611i	0.0684238	−	0.0497128i
$359$	4.17856	+	12.8603i	0.220536	+	0.678740i	0.998714	+	0.0506964i	$0.0161441\pi$
$359$	4.17856	+	12.8603i	0.220536	+	0.678740i	−0.778178	+	0.628044i	$0.783856\pi$
$360$	0.630765	−	1.94130i	0.0332442	−	0.102315i
$361$	12.6512	+	9.19163i	0.665852	+	0.483770i
$362$	19.5895			1.02960
$363$	−7.42687	+	8.71979i	−0.389810	+	0.457670i
$364$	−1.21331			−0.0635949
$365$	0.793341	+	0.576396i	0.0415254	+	0.0301700i
$366$	−1.51135	+	4.65146i	−0.0789996	+	0.243136i
$367$	−8.09517	−	24.9144i	−0.422565	−	1.30052i	−0.905307	−	0.424758i	$-0.860359\pi$
$367$	−8.09517	−	24.9144i	−0.422565	−	1.30052i	0.482743	−	0.875762i	$-0.339641\pi$
$368$	0.578069	−	0.419992i	0.0301339	−	0.0218936i
$369$	−0.000846610	0	0.000615098i	−4.40728e−5	0	3.20207e-5i
$370$	−0.835656	−	2.57188i	−0.0434437	−	0.133706i
$371$	4.00408	−	12.3233i	0.207881	−	0.639793i
$372$	0.393215	+	0.285688i	0.0203873	+	0.0148122i
$373$	37.1186			1.92193			0.960964	−	0.276674i	$-0.0892323\pi$
$373$	37.1186			1.92193			0.960964	+	0.276674i	$0.0892323\pi$
$374$	3.45812	−	17.4473i	0.178815	−	0.902179i
$375$	3.76792			0.194574
$376$	−6.19584	−	4.50154i	−0.319526	−	0.232149i
$377$	−1.41528	+	4.35577i	−0.0728904	+	0.224334i
$378$	−1.54055	−	4.74134i	−0.0792375	−	0.243868i
$379$	−29.1005	+	21.1428i	−1.49479	+	1.08603i	−0.522396	+	0.852703i	$0.674962\pi$
$379$	−29.1005	+	21.1428i	−1.49479	+	1.08603i	−0.972398	+	0.233329i	$0.925038\pi$
$380$	−0.625260	+	0.454278i	−0.0320751	+	0.0233040i
$381$	1.10424	+	3.39851i	0.0565721	+	0.174111i
$382$	−6.14570	+	18.9145i	−0.314441	+	0.967751i
$383$	−11.3488	−	8.24540i	−0.579897	−	0.421320i	0.258790	−	0.965934i	$-0.416676\pi$
$383$	−11.3488	−	8.24540i	−0.579897	−	0.421320i	−0.838687	+	0.544614i	$0.816676\pi$
$384$	5.79830			0.295893
$385$	0.942622	−	0.872543i	0.0480405	−	0.0444689i
$386$	5.86052			0.298292
$387$	−18.3609	−	13.3400i	−0.933336	−	0.678108i
$388$	−5.34748	+	16.4579i	−0.271477	+	0.835521i
$389$	6.01151	+	18.5015i	0.304796	+	0.938065i	0.979753	+	0.200209i	$0.0641620\pi$
$389$	6.01151	+	18.5015i	0.304796	+	0.938065i	−0.674957	+	0.737857i	$0.735838\pi$
$390$	0.285020	−	0.207079i	0.0144326	−	0.0104859i
$391$	−8.81464	+	6.40421i	−0.445775	+	0.323875i
$392$	−5.28279	−	16.2588i	−0.266821	−	0.821192i
$393$	−2.09541	+	6.44901i	−0.105699	+	0.325310i
$394$	14.0804	+	10.2300i	0.709363	+	0.515382i
$395$	0.256033			0.0128824
$396$	6.37283	+	3.56325i	0.320247	+	0.179060i
$397$	36.5061			1.83219			0.916094	−	0.400963i	$-0.131324\pi$
$397$	36.5061			1.83219			0.916094	+	0.400963i	$0.131324\pi$
$398$	7.84325	+	5.69846i	0.393147	+	0.285638i
$399$	−0.622971	+	1.91731i	−0.0311876	+	0.0959855i
$400$	0.573254	+	1.76430i	0.0286627	+	0.0882148i
$401$	16.9049	−	12.2821i	0.844189	−	0.613339i	−0.0793486	−	0.996847i	$-0.525284\pi$
$401$	16.9049	−	12.2821i	0.844189	−	0.613339i	0.923538	+	0.383508i	$0.125284\pi$
$402$	3.17574	−	2.30731i	0.158391	−	0.115078i
$403$	−0.125524	−	0.386323i	−0.00625279	−	0.0192441i
$404$	4.46748	−	13.7495i	0.222266	−	0.684063i
$405$	0.123863	+	0.0899920i	0.00615482	+	0.00447174i
$406$	4.46066			0.221379
$407$	26.3227	−	3.13369i	1.30477	−	0.155331i
$408$	17.5854			0.870606
$409$	−9.98782	−	7.25658i	−0.493866	−	0.358815i	0.312803	−	0.949818i	$-0.398732\pi$
$409$	−9.98782	−	7.25658i	−0.493866	−	0.358815i	−0.806669	+	0.591003i	$0.798732\pi$
$410$	−5.71113e−5	0	0.000175771i	−2.82053e−6	0	8.68069e-6i
$411$	1.45642	+	4.48240i	0.0718400	+	0.221101i
$412$	−11.9560	+	8.68654i	−0.589030	+	0.427955i
$413$	−4.23379	+	3.07603i	−0.208331	+	0.151361i
$414$	1.02338	+	3.14965i	0.0502965	+	0.154797i
$415$	1.34055	−	4.12579i	0.0658050	−	0.202527i
$416$	−4.41561	−	3.20813i	−0.216493	−	0.157291i
$417$	−12.5640			−0.615264
$418$	2.35206	+	5.09288i	0.115043	+	0.249101i
$419$	−25.0848			−1.22547			−0.612737	−	0.790287i	$-0.709932\pi$
$419$	−25.0848			−1.22547			−0.612737	+	0.790287i	$0.709932\pi$
$420$	0.374899	+	0.272380i	0.0182932	+	0.0132908i
$421$	11.7016	−	36.0139i	0.570302	−	1.75521i	−0.0813437	−	0.996686i	$-0.525921\pi$
$421$	11.7016	−	36.0139i	0.570302	−	1.75521i	0.651646	−	0.758523i	$-0.274079\pi$
$422$	0.647576	+	1.99303i	0.0315235	+	0.0970194i
$423$	4.08618	−	2.96878i	0.198677	−	0.144347i
$424$	28.8399	−	20.9534i	1.40059	−	1.01759i
$425$	−8.74122	−	26.9027i	−0.424011	−	1.30497i
$426$	1.36298	−	4.19484i	0.0660368	−	0.203240i
$427$	4.34962	+	3.16018i	0.210493	+	0.152932i
$428$	−14.6167			−0.706524
$429$	1.44798	+	3.13528i	0.0699090	+	0.151373i
$430$	−4.00820			−0.193293
$431$	−26.4370	−	19.2076i	−1.27343	−	0.925198i	−0.274093	−	0.961703i	$-0.588378\pi$
$431$	−26.4370	−	19.2076i	−1.27343	−	0.925198i	−0.999333	+	0.0365048i	$0.988378\pi$
$432$	0.603083	−	1.85610i	0.0290158	−	0.0893015i
$433$	−1.63550	−	5.03356i	−0.0785972	−	0.241897i	0.904036	−	0.427457i	$-0.140590\pi$
$433$	−1.63550	−	5.03356i	−0.0785972	−	0.241897i	−0.982633	+	0.185559i	$0.940590\pi$
$434$	−0.320068	+	0.232543i	−0.0153638	+	0.0111624i
$435$	1.41514	−	1.02816i	0.0678509	−	0.0492965i
$436$	3.55376	+	10.9373i	0.170194	+	0.523804i
$437$	1.06189	−	3.26816i	0.0507971	−	0.156337i
$438$	2.07747	+	1.50937i	0.0992656	+	0.0721207i
$439$	−20.2668			−0.967281			−0.483640	−	0.875267i	$-0.660686\pi$
$439$	−20.2668			−0.967281			−0.483640	+	0.875267i	$0.660686\pi$
$440$	3.50901	−	0.417744i	0.167286	−	0.0199152i
$441$	11.2745			0.536883
$442$	−4.33867	−	3.15223i	−0.206370	−	0.149936i
$443$	−3.13619	+	9.65220i	−0.149005	+	0.458590i	−0.997504	−	0.0706064i	$-0.977507\pi$
$443$	−3.13619	+	9.65220i	−0.149005	+	0.458590i	0.848499	+	0.529197i	$0.177507\pi$
$444$	2.95530	+	9.09548i	0.140252	+	0.431652i
$445$	−4.24792	+	3.08629i	−0.201371	+	0.146304i
$446$	10.4155	−	7.56727i	0.493186	−	0.358321i
$447$	2.74342	+	8.44339i	0.129759	+	0.399359i
$448$	−1.89150	+	5.82143i	−0.0893649	+	0.275037i
$449$	−4.39852	−	3.19571i	−0.207579	−	0.150815i	0.479139	−	0.877739i	$-0.340949\pi$
$449$	−4.39852	−	3.19571i	−0.207579	−	0.150815i	−0.686718	+	0.726924i	$0.740949\pi$
$450$	−8.59803			−0.405315
$451$	−0.00158129		0.000884147i	−7.44598e−5		4.16329e-5i
$452$	4.74463			0.223169
$453$	13.4237	+	9.75288i	0.630700	+	0.458230i
$454$	6.65250	−	20.4743i	0.312217	−	0.960906i
$455$	−0.119677	−	0.368328i	−0.00561054	−	0.0172675i
$456$	−4.48704	+	3.26002i	−0.210125	+	0.152665i
$457$	−10.6259	+	7.72020i	−0.497061	+	0.361136i	−0.807893	−	0.589329i	$-0.799392\pi$
$457$	−10.6259	+	7.72020i	−0.497061	+	0.361136i	0.310832	+	0.950465i	$0.399392\pi$
$458$	5.59253	+	17.2120i	0.261322	+	0.804266i
$459$	−9.19605	+	28.3025i	−0.429235	+	1.32105i
$460$	−0.639037	−	0.464287i	−0.0297952	−	0.0216475i
$461$	25.7015			1.19704			0.598519	−	0.801108i	$-0.295756\pi$
$461$	25.7015			1.19704			0.598519	+	0.801108i	$0.295756\pi$
$462$	2.46839	−	2.28487i	0.114840	−	0.106302i
$463$	14.9544			0.694990			0.347495	−	0.937682i	$-0.387032\pi$
$463$	14.9544			0.694990			0.347495	+	0.937682i	$0.387032\pi$
$464$	1.41272	+	1.02640i	0.0655840	+	0.0476496i
$465$	−0.0479414	+	0.147548i	−0.00222323	+	0.00684239i
$466$	2.49981	+	7.69362i	0.115801	+	0.356400i
$467$	−6.23883	+	4.53277i	−0.288698	+	0.209752i	−0.722703	−	0.691159i	$-0.757100\pi$
$467$	−6.23883	+	4.53277i	−0.288698	+	0.209752i	0.434004	+	0.900911i	$0.357100\pi$
$468$	1.78100	−	1.29397i	0.0823269	−	0.0598140i
$469$	−1.33346	−	4.10397i	−0.0615734	−	0.189504i
$470$	0.275649	−	0.848360i	0.0127147	−	0.0391319i
$471$	−0.848077	−	0.616164i	−0.0390773	−	0.0283914i
$472$	−14.3975			−0.662699
$473$	7.63899	−	38.5411i	0.351241	−	1.77212i
$474$	0.670459			0.0307952
$475$	7.21768	+	5.24395i	0.331170	+	0.240609i
$476$	2.17982	−	6.70880i	0.0999119	−	0.307497i
$477$	7.26502	+	22.3594i	0.332642	+	1.02377i
$478$	−11.0385	+	8.01994i	−0.504889	+	0.366823i
$479$	−2.60694	+	1.89406i	−0.119114	+	0.0865416i	−0.645748	−	0.763551i	$-0.723454\pi$
$479$	−2.60694	+	1.89406i	−0.119114	+	0.0865416i	0.526633	+	0.850093i	$0.323454\pi$
$480$	0.644168	+	1.98255i	0.0294021	+	0.0904904i
$481$	2.46986	−	7.60145i	0.112616	−	0.346596i
$482$	12.3039	+	8.93930i	0.560427	+	0.407174i
$483$	−2.06040			−0.0937514
$484$	−0.974569	+	12.6027i	−0.0442986	+	0.572850i
$485$	−5.52360			−0.250814
$486$	11.7839	+	8.56148i	0.534527	+	0.388357i
$487$	−7.39440	+	22.7576i	−0.335072	+	1.03125i	0.631614	+	0.775283i	$0.282393\pi$
$487$	−7.39440	+	22.7576i	−0.335072	+	1.03125i	−0.966686	+	0.255963i	$0.917607\pi$
$488$	4.57080	+	14.0675i	0.206910	+	0.636805i
$489$	−0.878572	+	0.638320i	−0.0397304	+	0.0288658i
$490$	1.61091	−	1.17039i	0.0727734	−	0.0528729i
$491$	−1.79825	−	5.53445i	−0.0811540	−	0.249766i	0.902245	−	0.431224i	$-0.141918\pi$
$491$	−1.79825	−	5.53445i	−0.0811540	−	0.249766i	−0.983399	+	0.181458i	$0.941918\pi$
$492$	0.000201974	0	0.000621613i	9.10570e−6	0	2.80245e-5i
$493$	−21.5418	−	15.6510i	−0.970193	−	0.704886i
$494$	1.69141			0.0761003
$495$	−0.453109	+	2.28608i	−0.0203658	+	0.102752i
$496$	−0.154876			−0.00695415
$497$	−3.92262	−	2.84995i	−0.175954	−	0.127838i
$498$	3.51041	−	10.8039i	0.157305	−	0.484136i
$499$	−8.49878	−	26.1566i	−0.380458	−	1.17093i	−0.939722	−	0.341939i	$-0.888916\pi$
$499$	−8.49878	−	26.1566i	−0.380458	−	1.17093i	0.559265	−	0.828989i	$-0.311084\pi$
$500$	3.36405	−	2.44412i	0.150445	−	0.109305i
$501$	−7.44099	+	5.40619i	−0.332439	+	0.241531i
$502$	8.05675	+	24.7961i	0.359590	+	1.10670i
$503$	4.19567	−	12.9130i	0.187076	−	0.575760i	−0.812902	−	0.582400i	$-0.802114\pi$
$503$	4.19567	−	12.9130i	0.187076	−	0.575760i	0.999978	+	0.00664021i	$0.00211366\pi$
$504$	−4.75367	−	3.45374i	−0.211745	−	0.153842i
$505$	4.61462			0.205348
$506$	−4.20750	+	3.89470i	−0.187046	+	0.173140i
$507$	1.04127			0.0462444
$508$	3.19038	+	2.31795i	0.141550	+	0.102842i
$509$	−3.22802	+	9.93481i	−0.143079	+	0.440353i	−0.996759	−	0.0804457i	$-0.974366\pi$
$509$	−3.22802	+	9.93481i	−0.143079	+	0.440353i	0.853680	+	0.520798i	$0.174366\pi$
$510$	0.632944	+	1.94800i	0.0280272	+	0.0862590i
$511$	2.28374	−	1.65923i	0.101027	−	0.0734001i
$512$	−3.47563	+	2.52519i	−0.153602	+	0.111599i
$513$	−2.90036	−	8.92638i	−0.128054	−	0.394110i
$514$	3.93817	−	12.1204i	0.173705	−	0.534609i
$515$	−3.81629	−	2.77269i	−0.168166	−	0.122180i
$516$	14.1750			0.624020
$517$	7.63211	+	4.26735i	0.335660	+	0.187678i
$518$	−7.78451			−0.342032
$519$	3.31475	+	2.40830i	0.145501	+	0.105713i
$520$	0.329251	−	1.01333i	0.0144386	−	0.0444374i
$521$	−1.89392	−	5.82888i	−0.0829741	−	0.255368i	0.900959	−	0.433903i	$-0.142864\pi$
$521$	−1.89392	−	5.82888i	−0.0829741	−	0.255368i	−0.983933	+	0.178535i	$0.942864\pi$
$522$	−6.54773	+	4.75721i	−0.286586	+	0.208217i
$523$	−0.122542	+	0.0890317i	−0.00535837	+	0.00389308i	−0.590461	−	0.807066i	$-0.701054\pi$
$523$	−0.122542	+	0.0890317i	−0.00535837	+	0.00389308i	0.585103	+	0.810959i	$0.301054\pi$
$524$	2.31245	+	7.11699i	0.101020	+	0.310907i
$525$	1.65301	−	5.08745i	0.0721434	−	0.222035i
$526$	−8.02040	−	5.82716i	−0.349706	−	0.254076i
$527$	2.36162			0.102874
$528$	1.30751	−	0.155658i	0.0569020	−	0.00677412i
$529$	−19.4879			−0.847302
$530$	3.35912	+	2.44055i	0.145911	+	0.106011i
$531$	2.93418	−	9.03049i	0.127333	−	0.391890i
$532$	0.687497	+	2.11590i	0.0298068	+	0.0917359i
$533$	−0.000441919	0	0.000321073i	−1.91416e−5	0	1.39072e-5i
$534$	−11.1238	+	8.08189i	−0.481372	+	0.349738i
$535$	−1.44174	−	4.43721i	−0.0623317	−	0.191837i
$536$	3.66856	−	11.2907i	0.158458	−	0.487683i
$537$	−1.46143	−	1.06179i	−0.0630654	−	0.0458197i
$538$	−18.1243			−0.781394
$539$	8.18384	+	17.7203i	0.352503	+	0.763269i
$540$	−2.15745			−0.0928418
$541$	−1.40046	−	1.01750i	−0.0602107	−	0.0437456i	0.557273	−	0.830329i	$-0.311848\pi$
$541$	−1.40046	−	1.01750i	−0.0602107	−	0.0437456i	−0.617483	+	0.786584i	$0.711848\pi$
$542$	−4.22342	+	12.9984i	−0.181412	+	0.558327i
$543$	−6.83335	−	21.0309i	−0.293247	−	0.902522i
$544$	25.6718	−	18.6516i	1.10067	−	0.799682i
$545$	−2.96974	+	2.15764i	−0.127210	+	0.0924232i
$546$	−0.313391	−	0.964517i	−0.0134119	−	0.0412775i
$547$	−5.13323	+	15.7985i	−0.219481	+	0.675493i	0.779324	+	0.626621i	$0.215563\pi$
$547$	−5.13323	+	15.7985i	−0.219481	+	0.675493i	−0.998805	+	0.0488719i	$0.984437\pi$
$548$	4.20790	+	3.05722i	0.179753	+	0.130598i
$549$	−9.75501			−0.416334
$550$	−6.24104	−	13.5136i	−0.266119	−	0.576223i
$551$	8.39797			0.357766
$552$	−4.58590	−	3.33185i	−0.195189	−	0.141813i
$553$	0.227753	−	0.700953i	0.00968506	−	0.0298076i
$554$	2.64193	+	8.13102i	0.112245	+	0.345454i
$555$	−2.46963	+	1.79429i	−0.104830	+	0.0761634i
$556$	−11.2173	+	8.14988i	−0.475721	+	0.345632i
$557$	−3.31648	−	10.2071i	−0.140524	−	0.432487i	0.855885	−	0.517167i	$-0.173013\pi$
$557$	−3.31648	−	10.2071i	−0.140524	−	0.432487i	−0.996408	+	0.0846796i	$0.973013\pi$
$558$	0.221820	−	0.682693i	0.00939040	−	0.0289007i
$559$	−9.58413	−	6.96328i	−0.405365	−	0.294515i
$560$	−0.147662			−0.00623986
$561$	−19.9374	+	2.37353i	−0.841758	+	0.100211i
$562$	−15.0818			−0.636187
$563$	25.5046	+	18.5302i	1.07489	+	0.780954i	0.976785	−	0.214222i	$-0.0687215\pi$
$563$	25.5046	+	18.5302i	1.07489	+	0.780954i	0.0981063	+	0.995176i	$0.468721\pi$
$564$	−0.974833	+	3.00023i	−0.0410479	+	0.126332i
$565$	0.467994	+	1.44034i	0.0196886	+	0.0605954i
$566$	−10.5459	+	7.66205i	−0.443277	+	0.322060i
$567$	0.356557	−	0.259054i	0.0149740	−	0.0108792i
$568$	−4.12209	−	12.6865i	−0.172959	−	0.532313i
$569$	−2.25991	+	6.95530i	−0.0947405	+	0.291581i	−0.987186	−	0.159574i	$-0.948988\pi$
$569$	−2.25991	+	6.95530i	−0.0947405	+	0.291581i	0.892445	+	0.451155i	$0.148988\pi$
$570$	−0.522626	−	0.379710i	−0.0218904	−	0.0159043i
$571$	−44.5745			−1.86538			−0.932692	−	0.360674i	$-0.882547\pi$
$571$	−44.5745			−1.86538			−0.932692	+	0.360674i	$0.882547\pi$
$572$	3.32653	+	1.85997i	0.139089	+	0.0777692i
$573$	22.4501			0.937866
$574$	0.000430411	0	0.000312712i	1.79650e−5	0	1.30523e-5i
$575$	−2.81765	+	8.67185i	−0.117504	+	0.361641i
$576$	−3.43194	−	10.5624i	−0.142997	−	0.440101i
$577$	−20.6324	+	14.9903i	−0.858937	+	0.624054i	−0.927596	−	0.373586i	$-0.878128\pi$
$577$	−20.6324	+	14.9903i	−0.858937	+	0.624054i	0.0686587	+	0.997640i	$0.478128\pi$
$578$	12.5380	−	9.10941i	0.521513	−	0.378902i
$579$	−2.04431	−	6.29175i	−0.0849587	−	0.261476i
$580$	0.596524	−	1.83591i	0.0247693	−	0.0762321i
$581$	−10.1029	−	7.34015i	−0.419137	−	0.304521i
$582$	−14.4643			−0.599565
$583$	−29.8691	+	27.6485i	−1.23705	+	1.14509i
$584$	7.76613			0.321365
$585$	0.568486	+	0.413029i	0.0235040	+	0.0170767i
$586$	8.01623	−	24.6714i	0.331147	−	1.01917i
$587$	4.39639	+	13.5307i	0.181459	+	0.558472i	0.999869	−	0.0161616i	$-0.00514461\pi$
$587$	4.39639	+	13.5307i	0.181459	+	0.558472i	−0.818411	+	0.574634i	$0.805145\pi$
$588$	−5.69698	+	4.13910i	−0.234939	+	0.170693i
$589$	−0.602584	+	0.437803i	−0.0248290	+	0.0180394i
$590$	−0.518205	−	1.59487i	−0.0213342	−	0.0656598i
$591$	6.07114	−	18.6850i	0.249733	−	0.768600i
$592$	−2.46541	−	1.79122i	−0.101328	−	0.0736189i
$593$	−1.34235			−0.0551235			−0.0275618	−	0.999620i	$-0.508774\pi$
$593$	−1.34235			−0.0551235			−0.0275618	+	0.999620i	$0.508774\pi$
$594$	−3.04459	+	15.3609i	−0.124921	+	0.630265i
$595$	2.25161			0.0923071
$596$	7.92631	+	5.75880i	0.324674	+	0.235890i
$597$	3.38182	−	10.4082i	0.138409	−	0.425978i
$598$	0.534192	+	1.64407i	0.0218447	+	0.0672312i
$599$	15.8365	−	11.5059i	0.647063	−	0.470119i	−0.215207	−	0.976569i	$-0.569042\pi$
$599$	15.8365	−	11.5059i	0.647063	−	0.470119i	0.862269	+	0.506450i	$0.169042\pi$
$600$	11.9061	−	8.65026i	0.486063	−	0.353145i
$601$	−1.37069	−	4.21854i	−0.0559115	−	0.172078i	0.919201	−	0.393789i	$-0.128836\pi$
$601$	−1.37069	−	4.21854i	−0.0559115	−	0.172078i	−0.975112	+	0.221711i	$0.928836\pi$
$602$	−3.56548	+	10.9734i	−0.145318	+	0.447243i
$603$	6.33416	+	4.60204i	0.257947	+	0.187409i
$604$	18.3112			0.745073
$605$	−3.92196	+	0.947235i	−0.159450	+	0.0385106i
$606$	12.0840			0.490880
$607$	−29.7138	−	21.5884i	−1.20605	−	0.876245i	−0.211181	−	0.977447i	$-0.567731\pi$
$607$	−29.7138	−	21.5884i	−1.20605	−	0.876245i	−0.994866	+	0.101202i	$0.967731\pi$
$608$	−3.09265	+	9.51820i	−0.125424	+	0.386014i
$609$	−1.55600	−	4.78889i	−0.0630525	−	0.194056i
$610$	−1.39380	+	1.01265i	−0.0564331	+	0.0410011i
$611$	2.13293	−	1.54966i	0.0862891	−	0.0626927i
$612$	3.95507	+	12.1725i	0.159874	+	0.492043i
$613$	4.35171	−	13.3932i	0.175764	−	0.540945i	−0.823904	−	0.566730i	$-0.808208\pi$
$613$	4.35171	−	13.3932i	0.175764	−	0.540945i	0.999668	+	0.0257846i	$0.00820839\pi$
$614$	22.5843	+	16.4085i	0.911430	+	0.662193i
$615$	0.000208626	0		8.41262e−6	0
$616$	1.97775	−	9.97836i	0.0796858	−	0.402040i
$617$	−40.1995			−1.61837			−0.809185	−	0.587554i	$-0.800091\pi$
$617$	−40.1995			−1.61837			−0.809185	+	0.587554i	$0.800091\pi$
$618$	−9.99347	−	7.26068i	−0.401996	−	0.292068i
$619$	−13.4377	+	41.3569i	−0.540106	+	1.66227i	0.192245	+	0.981347i	$0.438423\pi$
$619$	−13.4377	+	41.3569i	−0.540106	+	1.66227i	−0.732351	+	0.680927i	$0.761577\pi$
$620$	0.0529070	+	0.162831i	0.00212480	+	0.00653946i
$621$	7.76055	−	5.63837i	0.311420	−	0.226260i
$622$	−10.0725	+	7.31808i	−0.403869	+	0.293428i
$623$	4.67075	+	14.3751i	0.187130	+	0.575926i
$624$	0.122683	−	0.377581i	0.00491127	−	0.0151153i
$625$	−18.6074	−	13.5191i	−0.744297	−	0.540763i
$626$	−19.2933			−0.771115
$627$	4.64716	−	4.30167i	0.185590	−	0.171792i
$628$	−1.15686			−0.0461638
$629$	37.5936	+	27.3133i	1.49895	+	1.08905i
$630$	0.211488	−	0.650892i	0.00842587	−	0.0259322i
$631$	11.1453	+	34.3017i	0.443688	+	1.36553i	0.883916	+	0.467645i	$0.154897\pi$
$631$	11.1453	+	34.3017i	0.443688	+	1.36553i	−0.440228	+	0.897886i	$0.645103\pi$
$632$	1.64043	−	1.19184i	0.0652526	−	0.0474088i
$633$	1.91379	−	1.39045i	0.0760665	−	0.0552655i
$634$	7.48574	+	23.0387i	0.297297	+	0.914985i
$635$	−0.388976	+	1.19715i	−0.0154360	+	0.0475073i
$636$	−11.8795	−	8.63099i	−0.471055	−	0.342241i
$637$	5.88516			0.233178
$638$	−12.2298	−	6.83804i	−0.484181	−	0.270721i
$639$	8.79737			0.348019
$640$	1.65240	+	1.20054i	0.0653170	+	0.0474556i
$641$	5.99411	−	18.4480i	0.236753	−	0.728651i	−0.760131	−	0.649770i	$-0.774865\pi$
$641$	5.99411	−	18.4480i	0.236753	−	0.728651i	0.996884	−	0.0788812i	$-0.0251348\pi$
$642$	−3.77539	−	11.6195i	−0.149003	−	0.458583i
$643$	14.7567	−	10.7214i	0.581948	−	0.422810i	−0.257478	−	0.966284i	$-0.582891\pi$
$643$	14.7567	−	10.7214i	0.581948	−	0.422810i	0.839426	+	0.543474i	$0.182891\pi$
$644$	−1.83955	+	1.33651i	−0.0724885	+	0.0526660i
$645$	1.39817	+	4.30314i	0.0550530	+	0.169436i
$646$	−3.03877	+	9.35236i	−0.119559	+	0.367964i
$647$	21.5842	+	15.6819i	0.848563	+	0.616517i	0.924750	−	0.380576i	$-0.124274\pi$
$647$	21.5842	+	15.6819i	0.848563	+	0.616517i	−0.0761861	+	0.997094i	$0.524274\pi$
$648$	1.21252			0.0476321
$649$	16.3232	−	1.94326i	0.640741	−	0.0762796i
$650$	−4.48805			−0.176036
$651$	0.361303	+	0.262502i	0.0141606	+	0.0102883i
$652$	−0.370344	+	1.13980i	−0.0145038	+	0.0446381i
$653$	−7.04712	−	21.6888i	−0.275775	−	0.848749i	−0.989013	−	0.147827i	$-0.952772\pi$
$653$	−7.04712	−	21.6888i	−0.275775	−	0.848749i	0.713238	−	0.700922i	$-0.247228\pi$
$654$	−7.77667	+	5.65008i	−0.304092	+	0.220936i
$655$	−1.93243	+	1.40399i	−0.0755061	+	0.0548584i
$656$	6.43588e−5	0	0.000198076i	2.51279e−6	0	7.73357e-6i
$657$	−1.58272	+	4.87112i	−0.0617479	+	0.190040i
$658$	−2.07739	−	1.50931i	−0.0809850	−	0.0588391i
$659$	36.9350			1.43878			0.719392	−	0.694605i	$-0.244421\pi$
$659$	36.9350			1.43878			0.719392	+	0.694605i	$0.244421\pi$
$660$	−0.610308	−	1.32149i	−0.0237562	−	0.0514389i
$661$	−3.11128			−0.121015			−0.0605074	−	0.998168i	$-0.519272\pi$
$661$	−3.11128			−0.121015			−0.0605074	+	0.998168i	$0.519272\pi$
$662$	18.8196	+	13.6732i	0.731443	+	0.531425i
$663$	−1.87073	+	5.75751i	−0.0726531	+	0.223603i
$664$	−10.6166	−	32.6745i	−0.412004	−	1.26802i
$665$	−0.574515	+	0.417410i	−0.0222787	+	0.0161865i
$666$	11.4267	−	8.30202i	0.442778	−	0.321697i
$667$	2.65230	+	8.16293i	0.102697	+	0.316070i
$668$	−3.13659	+	9.65344i	−0.121358	+	0.373503i
$669$	−11.7573	−	8.54217i	−0.454563	−	0.330259i
$670$	1.38275			0.0534205
$671$	−7.08086	−	15.3321i	−0.273353	−	0.591888i
$672$	6.00071			0.231482
$673$	40.8052	+	29.6467i	1.57293	+	1.14280i	0.924286	+	0.381702i	$0.124662\pi$
$673$	40.8052	+	29.6467i	1.57293	+	1.14280i	0.648640	+	0.761096i	$0.275338\pi$
$674$	1.29762	−	3.99365i	0.0499823	−	0.153830i
$675$	7.69591	+	23.6856i	0.296216	+	0.911658i
$676$	0.929659	−	0.675437i	0.0357561	−	0.0259783i
$677$	17.8541	−	12.9717i	0.686188	−	0.498545i	−0.189217	−	0.981935i	$-0.560595\pi$
$677$	17.8541	−	12.9717i	0.686188	−	0.498545i	0.875405	+	0.483391i	$0.160595\pi$
$678$	1.22551	+	3.77172i	0.0470653	+	0.144852i
$679$	−4.91349	+	15.1222i	−0.188563	+	0.580336i
$680$	5.01150	+	3.64106i	0.192182	+	0.139628i
$681$	−24.3014			−0.931233
$682$	1.23401	−	0.146908i	0.0472527	−	0.00562538i
$683$	−16.8808			−0.645925			−0.322963	−	0.946412i	$-0.604679\pi$
$683$	−16.8808			−0.645925			−0.322963	+	0.946412i	$0.604679\pi$
$684$	−3.26573	−	2.37269i	−0.124868	−	0.0907221i
$685$	−0.513033	+	1.57895i	−0.0196020	+	0.0603287i
$686$	−3.87805	−	11.9354i	−0.148064	−	0.455696i
$687$	16.5277	−	12.0081i	0.630571	−	0.458137i
$688$	−3.65421	+	2.65494i	−0.139315	+	0.101219i
$689$	3.79224	+	11.6713i	0.144473	+	0.444642i
$690$	0.204024	−	0.627921i	0.00776706	−	0.0239046i
$691$	6.92705	+	5.03280i	0.263518	+	0.191457i	0.711696	−	0.702487i	$-0.247927\pi$
$691$	6.92705	+	5.03280i	0.263518	+	0.191457i	−0.448179	+	0.893944i	$0.647927\pi$
$692$	4.52164			0.171887
$693$	5.85563	+	3.27407i	0.222437	+	0.124372i
$694$	−4.95368			−0.188039
$695$	−3.58051	−	2.60139i	−0.135817	−	0.0986765i
$696$	4.28082	−	13.1750i	0.162264	−	0.499397i
$697$	−0.000981370	−	0.00302035i	−3.71720e−5	−	0.000114404i
$698$	26.3512	−	19.1453i	0.997409	−	0.724660i
$699$	7.38773	−	5.36750i	0.279430	−	0.203017i
$700$	−1.82423	−	5.61440i	−0.0689494	−	0.212204i
$701$	12.7557	−	39.2580i	0.481776	−	1.48276i	−0.354820	−	0.934935i	$-0.615458\pi$
$701$	12.7557	−	39.2580i	0.481776	−	1.48276i	0.836596	−	0.547820i	$-0.184542\pi$
$702$	3.81984	+	2.77527i	0.144170	+	0.104746i
$703$	−14.6557			−0.552750
$704$	14.1100	−	13.0610i	0.531789	−	0.492253i
$705$	−1.00694			−0.0379235
$706$	−11.5005	−	8.35563i	−0.432828	−	0.314468i
$707$	4.10491	−	12.6336i	0.154381	−	0.475136i
$708$	1.83263	+	5.64026i	0.0688745	+	0.211974i
$709$	30.6124	−	22.2412i	1.14967	−	0.835286i	0.161235	−	0.986916i	$-0.448452\pi$
$709$	30.6124	−	22.2412i	1.14967	−	0.835286i	0.988437	+	0.151630i	$0.0484522\pi$
$710$	1.25697	−	0.913241i	0.0471732	−	0.0342733i
$711$	0.413237	+	1.27181i	0.0154976	+	0.0476967i
$712$	−12.8500	+	39.5482i	−0.481574	+	1.48213i
$713$	−0.615862	−	0.447450i	−0.0230642	−	0.0167571i
$714$	5.89616			0.220658
$715$	−0.236517	+	1.19330i	−0.00884523	+	0.0446269i
$716$	−1.99353			−0.0745018
$717$	12.4606	+	9.05315i	0.465350	+	0.338096i
$718$	−3.85443	+	11.8627i	−0.143846	+	0.442713i
$719$	−6.68274	−	20.5674i	−0.249224	−	0.767033i	−0.994913	−	0.100738i	$-0.967879\pi$
$719$	−6.68274	−	20.5674i	−0.249224	−	0.767033i	0.745689	−	0.666294i	$-0.232121\pi$
$720$	0.216751	−	0.157479i	0.00807782	−	0.00586888i
$721$	−10.9857	+	7.98156i	−0.409128	+	0.297249i
$722$	4.45749	+	13.7187i	0.165890	+	0.510558i
$723$	5.30514	−	16.3275i	0.197300	−	0.607227i
$724$	−19.7430	−	14.3441i	−0.733741	−	0.533094i
$725$	−22.2835			−0.827587
$726$	−10.2702	+	2.48047i	−0.381162	+	0.0920588i
$727$	−22.0230			−0.816789			−0.408395	−	0.912806i	$-0.633911\pi$
$727$	−22.0230			−0.816789			−0.408395	+	0.912806i	$0.633911\pi$
$728$	−2.48135	−	1.80281i	−0.0919649	−	0.0668164i
$729$	4.69395	−	14.4465i	0.173850	−	0.535055i
$730$	0.279524	+	0.860286i	0.0103456	+	0.0318406i
$731$	55.7209	−	40.4836i	2.06091	−	1.49734i
$732$	4.92916	−	3.58125i	0.182187	−	0.132367i
$733$	−2.22072	−	6.83468i	−0.0820243	−	0.252445i	0.901631	−	0.432506i	$-0.142370\pi$
$733$	−2.22072	−	6.83468i	−0.0820243	−	0.252445i	−0.983655	+	0.180061i	$0.942370\pi$
$734$	7.46724	−	22.9818i	0.275621	−	0.848273i
$735$	−1.81844	−	1.32118i	−0.0670743	−	0.0487323i
$736$	−10.2286			−0.377029
$737$	−2.63531	+	13.2960i	−0.0970728	+	0.489763i
$738$	−0.000965294	0		−3.55330e−5	0
$739$	−33.0126	−	23.9851i	−1.21439	−	0.882305i	−0.218767	−	0.975777i	$-0.570203\pi$
$739$	−33.0126	−	23.9851i	−1.21439	−	0.882305i	−0.995622	+	0.0934724i	$0.970203\pi$
$740$	−1.04102	+	3.20393i	−0.0382687	+	0.117779i
$741$	−0.590012	−	1.81587i	−0.0216746	−	0.0667077i
$742$	9.66967	−	7.02543i	0.354985	−	0.257912i
$743$	27.1481	−	19.7242i	0.995967	−	0.723612i	0.0347470	−	0.999396i	$-0.488937\pi$
$743$	27.1481	−	19.7242i	0.995967	−	0.723612i	0.961220	+	0.275784i	$0.0889374\pi$
$744$	0.379676	+	1.16852i	0.0139196	+	0.0428401i
$745$	−0.966387	+	2.97423i	−0.0354057	+	0.108967i
$746$	27.7002	+	20.1254i	1.01418	+	0.736842i
$747$	22.6579			0.829011
$748$	−16.2608	+	15.0519i	−0.594552	+	0.550350i
$749$	−13.4304			−0.490737
$750$	2.81185	+	2.04293i	0.102674	+	0.0745973i
$751$	14.0352	−	43.1960i	0.512153	−	1.57625i	−0.276249	−	0.961086i	$-0.589092\pi$
$751$	14.0352	−	43.1960i	0.512153	−	1.57625i	0.788403	−	0.615160i	$-0.210908\pi$
$752$	−0.310629	−	0.956019i	−0.0113275	−	0.0348624i
$753$	23.8103	−	17.2992i	0.867694	−	0.630416i
$754$	−3.41783	+	2.48320i	−0.124470	+	0.0904327i
$755$	1.80615	+	5.55877i	0.0657327	+	0.202304i
$756$	−1.91915	+	5.90653i	−0.0697988	+	0.214819i
$757$	−22.1060	−	16.0610i	−0.803457	−	0.583746i	0.108469	−	0.994100i	$-0.465405\pi$
$757$	−22.1060	−	16.0610i	−0.803457	−	0.583746i	−0.911926	+	0.410354i	$0.865405\pi$
$758$	−33.1801			−1.20515
$759$	5.64897	+	3.15852i	0.205045	+	0.114647i
$760$	−1.95371			−0.0708685
$761$	−10.2166	−	7.42277i	−0.370350	−	0.269075i	0.387006	−	0.922077i	$-0.373509\pi$
$761$	−10.2166	−	7.42277i	−0.370350	−	0.269075i	−0.757356	+	0.653002i	$0.773509\pi$
$762$	−1.01859	+	3.13489i	−0.0368995	+	0.113565i
$763$	3.26534	+	10.0497i	0.118213	+	0.363823i
$764$	20.0437	−	14.5626i	0.725157	−	0.526857i
$765$	−3.30510	+	2.40130i	−0.119496	+	0.0868191i
$766$	−3.99861	−	12.3065i	−0.144476	−	0.444650i
$767$	1.53160	−	4.71379i	0.0553030	−	0.170205i
$768$	14.0942	+	10.2400i	0.508580	+	0.369505i
$769$	44.6860			1.61142			0.805710	−	0.592311i	$-0.201784\pi$
$769$	44.6860			1.61142			0.805710	+	0.592311i	$0.201784\pi$
$770$	1.17653	−	0.140065i	0.0423991	−	0.00504758i
$771$	−14.3860			−0.518100
$772$	−5.90644	−	4.29128i	−0.212577	−	0.154446i
$773$	−7.72655	+	23.7799i	−0.277905	+	0.855303i	0.710531	+	0.703666i	$0.248455\pi$
$773$	−7.72655	+	23.7799i	−0.277905	+	0.855303i	−0.988436	+	0.151638i	$0.951545\pi$
$774$	−6.46922	−	19.9102i	−0.232531	−	0.715658i
$775$	1.59892	−	1.16168i	0.0574348	−	0.0417288i
$776$	−35.3901	+	25.7124i	−1.27043	+	0.923022i
$777$	2.71545	+	8.35731i	0.0974164	+	0.299817i
$778$	−5.54521	+	17.0664i	−0.198805	+	0.611860i
$779$	0.000810323	0	0.000588734i	2.90328e−5	0	2.10936e-5i
$780$	−0.438884			−0.0157146
$781$	6.38574	+	13.8269i	0.228500	+	0.494767i
$782$	−10.0503			−0.359399
$783$	18.9657	+	13.7794i	0.677780	+	0.492436i
$784$	0.693396	−	2.13405i	0.0247641	−	0.0762162i
$785$	−0.114109	−	0.351190i	−0.00407271	−	0.0125345i
$786$	−5.06032	+	3.67654i	−0.180496	+	0.131138i
$787$	−8.79379	+	6.38906i	−0.313465	+	0.227745i	−0.733382	−	0.679817i	$-0.762059\pi$
$787$	−8.79379	+	6.38906i	−0.313465	+	0.227745i	0.419917	+	0.907563i	$0.362059\pi$
$788$	−6.69998	−	20.6204i	−0.238677	−	0.734571i
$789$	−3.45820	+	10.6432i	−0.123115	+	0.378909i
$790$	0.191068	+	0.138819i	0.00679790	+	0.00493896i
$791$	4.35957			0.155008
$792$	7.73862	+	16.7563i	0.274980	+	0.595409i
$793$	−5.09198			−0.180821
$794$	27.2431	+	19.7933i	0.966822	+	0.702437i
$795$	1.44837	−	4.45763i	0.0513684	−	0.158096i
$796$	−3.73210	−	11.4862i	−0.132281	−	0.407118i
$797$	−30.5515	+	22.1970i	−1.08219	+	0.786257i	−0.978063	−	0.208308i	$-0.933205\pi$
$797$	−30.5515	+	22.1970i	−1.08219	+	0.786257i	−0.104126	+	0.994564i	$0.533205\pi$
$798$	−1.50445	+	1.09305i	−0.0532569	+	0.0386934i
$799$	4.73660	+	14.5778i	0.167569	+	0.515724i
$800$	8.20615	−	25.2559i	0.290131	−	0.892932i
$801$	−22.1869	−	16.1197i	−0.783935	−	0.569562i
$802$	19.2747			0.680614
$803$	−8.80485	+	1.04821i	−0.310716	+	0.0369905i
$804$	−4.89012			−0.172461
$805$	−0.587174	−	0.426607i	−0.0206952	−	0.0150359i
$806$	0.115787	−	0.356356i	0.00407843	−	0.0125521i
$807$	6.32227	+	19.4579i	0.222554	+	0.684952i
$808$	29.5662	−	21.4811i	1.04014	−	0.755703i
$809$	−22.3564	+	16.2429i	−0.786011	+	0.571070i	−0.906777	−	0.421611i	$-0.861465\pi$
$809$	−22.3564	+	16.2429i	−0.786011	+	0.571070i	0.120766	+	0.992681i	$0.461465\pi$
$810$	0.0436417	+	0.134315i	0.00153341	+	0.00471936i
$811$	−8.04841	+	24.7705i	−0.282618	+	0.869809i	0.704485	+	0.709719i	$0.251178\pi$
$811$	−8.04841	+	24.7705i	−0.282618	+	0.869809i	−0.987103	+	0.160089i	$0.948822\pi$
$812$	−4.49561	−	3.26626i	−0.157765	−	0.114623i
$813$	15.4281			0.541085
$814$	21.3427	+	11.9334i	0.748062	+	0.418265i
$815$	−0.382541			−0.0133998
$816$	1.86735	+	1.35671i	0.0653705	+	0.0474944i
$817$	−6.71264	+	20.6594i	−0.234845	+	0.722780i
$818$	−3.51908	−	10.8306i	−0.123042	−	0.378684i
$819$	1.63646	−	1.18896i	0.0571826	−	0.0415456i
$820$	0.000186264	0	0.000135329i	6.50463e−6	0	4.72589e-6i
$821$	7.63853	+	23.5090i	0.266587	+	0.820469i	0.991324	+	0.131443i	$0.0419612\pi$
$821$	7.63853	+	23.5090i	0.266587	+	0.820469i	−0.724737	+	0.689025i	$0.758039\pi$
$822$	−1.34345	+	4.13471i	−0.0468581	+	0.144214i
$823$	17.5258	+	12.7333i	0.610912	+	0.443854i	0.849735	−	0.527209i	$-0.176762\pi$
$823$	17.5258	+	12.7333i	0.610912	+	0.443854i	−0.238823	+	0.971063i	$0.576762\pi$
$824$	−37.3582			−1.30143
$825$	−12.3309	+	11.4142i	−0.429308	+	0.397392i
$826$	−4.82731			−0.167964
$827$	−19.0296	−	13.8258i	−0.661723	−	0.480770i	0.205521	−	0.978653i	$-0.434111\pi$
$827$	−19.0296	−	13.8258i	−0.661723	−	0.480770i	−0.867245	+	0.497882i	$0.834111\pi$
$828$	1.27488	−	3.92369i	0.0443053	−	0.136358i
$829$	1.30491	+	4.01609i	0.0453213	+	0.139485i	0.971157	−	0.238443i	$-0.0766369\pi$
$829$	1.30491	+	4.01609i	0.0453213	+	0.139485i	−0.925835	+	0.377927i	$0.876637\pi$
$830$	3.23737	−	2.35208i	0.112371	−	0.0816421i
$831$	7.80774	−	5.67265i	0.270847	−	0.196782i
$832$	−1.79143	−	5.51344i	−0.0621065	−	0.191144i
$833$	−10.5732	+	32.5409i	−0.366339	+	1.12748i
$834$	−9.37607	−	6.81211i	−0.324667	−	0.235884i
$835$	−3.23990			−0.112121
$836$	1.35870	−	6.85505i	0.0469915	−	0.237087i
$837$	−2.07921			−0.0718679
$838$	−18.7199	−	13.6008i	−0.646667	−	0.469831i
$839$	−16.2193	+	49.9180i	−0.559954	+	1.72336i	0.122534	+	0.992464i	$0.460898\pi$
$839$	−16.2193	+	49.9180i	−0.559954	+	1.72336i	−0.682488	+	0.730897i	$0.739102\pi$
$840$	0.361990	+	1.11409i	0.0124898	+	0.0384398i
$841$	6.49177	−	4.71655i	0.223854	−	0.162640i
$842$	28.2589	−	20.5313i	0.973866	−	0.707555i
$843$	5.26095	+	16.1916i	0.181197	+	0.557667i
$844$	0.806720	−	2.48283i	0.0277685	−	0.0854625i
$845$	0.296742	+	0.215596i	0.0102082	+	0.00741671i
$846$	4.65901			0.160180
$847$	−0.895475	+	11.5799i	−0.0307689	+	0.397890i
$848$	4.67901			0.160678
$849$	11.9045	+	8.64916i	0.408563	+	0.296838i
$850$	8.06317	−	24.8159i	0.276564	−	0.851178i
$851$	−4.62865	−	14.2455i	−0.158668	−	0.488330i
$852$	−4.44527	+	3.22968i	−0.152293	+	0.110647i
$853$	−13.9961	+	10.1687i	−0.479217	+	0.348171i	−0.801022	−	0.598635i	$-0.795710\pi$
$853$	−13.9961	+	10.1687i	−0.479217	+	0.348171i	0.321806	+	0.946806i	$0.395710\pi$
$854$	1.53253	+	4.71665i	0.0524422	+	0.161400i
$855$	0.398162	−	1.22542i	0.0136169	−	0.0419084i
$856$	−29.8926	−	21.7182i	−1.02171	−	0.742314i
$857$	41.9996			1.43468			0.717340	−	0.696723i	$-0.245359\pi$
$857$	41.9996			1.43468			0.717340	+	0.696723i	$0.245359\pi$
$858$	−0.619352	+	3.12483i	−0.0211443	+	0.106680i
$859$	−30.7468			−1.04907			−0.524534	−	0.851390i	$-0.675760\pi$
$859$	−30.7468			−1.04907			−0.524534	+	0.851390i	$0.675760\pi$
$860$	4.03961	+	2.93495i	0.137750	+	0.100081i
$861$	0.000185583	0	0.000571164i	6.32464e−6	0	1.94652e-5i
$862$	−9.31475	−	28.6678i	−0.317261	−	0.976430i
$863$	−21.1021	+	15.3316i	−0.718324	+	0.521893i	−0.885848	−	0.463975i	$-0.846423\pi$
$863$	−21.1021	+	15.3316i	−0.718324	+	0.521893i	0.167524	+	0.985868i	$0.446423\pi$
$864$	−22.6018	+	16.4212i	−0.768930	+	0.558661i
$865$	0.445998	+	1.37264i	0.0151644	+	0.0466712i
$866$	1.50864	−	4.64311i	0.0512656	−	0.157779i
$867$	−14.1533	−	10.2830i	−0.480672	−	0.349229i
$868$	0.492853			0.0167285
$869$	−1.69897	+	1.57266i	−0.0576335	+	0.0533488i
$870$	1.61353			0.0547037
$871$	3.30634	+	2.40220i	0.112031	+	0.0813954i
$872$	−8.98349	+	27.6483i	−0.304219	+	0.936291i
$873$	−8.91506	−	27.4377i	−0.301729	−	0.928627i
$874$	2.56442	−	1.86316i	0.0867427	−	0.0630222i
$875$	3.09103	−	2.24576i	0.104496	−	0.0759207i
$876$	−0.988536	−	3.04240i	−0.0333995	−	0.102793i
$877$	−0.863870	+	2.65872i	−0.0291708	+	0.0897785i	−0.964582	−	0.263783i	$-0.915030\pi$
$877$	−0.863870	+	2.65872i	−0.0291708	+	0.0897785i	0.935411	+	0.353562i	$0.115030\pi$
$878$	−15.1243	−	10.9885i	−0.510422	−	0.370843i
$879$	−29.2831			−0.987694
$880$	0.404844	+	0.226361i	0.0136473	+	0.00763063i
$881$	−25.8280			−0.870168			−0.435084	−	0.900390i	$-0.643281\pi$
$881$	−25.8280			−0.870168			−0.435084	+	0.900390i	$0.643281\pi$
$882$	8.41376	+	6.11296i	0.283306	+	0.205834i
$883$	−6.92827	+	21.3230i	−0.233155	+	0.717577i	0.764206	+	0.644972i	$0.223131\pi$
$883$	−6.92827	+	21.3230i	−0.233155	+	0.717577i	−0.997361	+	0.0726045i	$0.976869\pi$
$884$	2.06449	+	6.35386i	0.0694365	+	0.213703i
$885$	−1.53146	+	1.11267i	−0.0514795	+	0.0374020i
$886$	−7.57376	+	5.50266i	−0.254446	+	0.184865i
$887$	−1.26922	−	3.90626i	−0.0426163	−	0.131159i	0.927485	−	0.373861i	$-0.121966\pi$
$887$	−1.26922	−	3.90626i	−0.0426163	−	0.131159i	−0.970101	+	0.242702i	$0.921966\pi$
$888$	−7.47066	+	22.9923i	−0.250699	+	0.771572i
$889$	2.93146	+	2.12983i	0.0983180	+	0.0714322i
$890$	−4.84342			−0.162352
$891$	−1.37469	+	0.163655i	−0.0460538	+	0.00548266i
$892$	−16.0381			−0.536995
$893$	−3.91104	−	2.84154i	−0.130878	−	0.0950885i
$894$	−2.53062	+	7.78844i	−0.0846365	+	0.260484i
$895$	−0.196635	−	0.605181i	−0.00657279	−	0.0202290i
$896$	4.75666	−	3.45592i	0.158909	−	0.115454i
$897$	1.57871	−	1.14700i	0.0527115	−	0.0382972i
$898$	−1.54976	−	4.76968i	−0.0517162	−	0.159166i
$899$	0.574890	−	1.76933i	0.0191737	−	0.0590105i
$900$	8.66540	+	6.29578i	0.288847	+	0.209859i
$901$	−71.3475			−2.37693
$902$	−0.000700677	−	0.00151716i	−2.33300e−5	−	5.05161e-5i
$903$	13.0246			0.433432
$904$	9.70325	+	7.04982i	0.322725	+	0.234474i
$905$	2.40709	−	7.40826i	0.0800143	−	0.246259i
$906$	4.72967	+	14.5564i	0.157133	+	0.483604i
$907$	14.0414	−	10.2017i	0.466236	−	0.338740i	−0.329737	−	0.944073i	$-0.606960\pi$
$907$	14.0414	−	10.2017i	0.466236	−	0.338740i	0.795973	+	0.605333i	$0.206960\pi$
$908$	−21.6966	+	15.7635i	−0.720028	+	0.523131i
$909$	7.44797	+	22.9225i	0.247034	+	0.760291i
$910$	0.110394	−	0.339757i	0.00365952	−	0.0112628i
$911$	−6.78766	−	4.93152i	−0.224885	−	0.163389i	0.469638	−	0.882859i	$-0.344385\pi$
$911$	−6.78766	−	4.93152i	−0.224885	−	0.163389i	−0.694523	+	0.719471i	$0.744385\pi$
$912$	−0.727980			−0.0241058
$913$	16.4467	+	35.6118i	0.544306	+	1.17858i
$914$	−12.1156			−0.400747
$915$	1.57336	+	1.14311i	0.0520137	+	0.0377902i
$916$	6.96691	−	21.4420i	0.230193	−	0.708462i
$917$	2.12478	+	6.53939i	0.0701663	+	0.215950i
$918$	−22.2080	+	16.1351i	−0.732975	+	0.532537i
$919$	37.5979	−	27.3165i	1.24024	−	0.901088i	0.242627	−	0.970120i	$-0.421991\pi$
$919$	37.5979	−	27.3165i	1.24024	−	0.901088i	0.997614	+	0.0690315i	$0.0219909\pi$
$920$	−0.617032	−	1.89903i	−0.0203430	−	0.0626092i
$921$	9.73781	−	29.9699i	0.320872	−	0.987541i
$922$	19.1801	+	13.9351i	0.631662	+	0.458929i
$923$	4.59211			0.151151
$924$	−4.16079	+	0.495339i	−0.136880	+	0.0162954i
$925$	38.8879			1.27863
$926$	11.1599	+	8.10815i	0.366737	+	0.266450i
$927$	7.61352	−	23.4320i	0.250061	−	0.769608i
$928$	−7.72456	−	23.7737i	−0.253571	−	0.780412i
$929$	−6.35599	+	4.61790i	−0.208533	+	0.151508i	−0.687150	−	0.726516i	$-0.741138\pi$
$929$	−6.35599	+	4.61790i	−0.208533	+	0.151508i	0.478617	+	0.878024i	$0.341138\pi$
$930$	−0.115776	+	0.0841164i	−0.00379645	+	0.00275829i
$931$	−3.33470	−	10.2631i	−0.109290	−	0.336361i
$932$	3.11414	−	9.58435i	0.102007	−	0.313946i
$933$	11.3701	+	8.26088i	0.372241	+	0.270449i
$934$	−7.11343			−0.232759
$935$	−6.17322	−	3.45165i	−0.201886	−	0.112881i
$936$	5.56499			0.181897
$937$	33.5370	+	24.3661i	1.09561	+	0.796005i	0.980337	−	0.197329i	$-0.0632268\pi$
$937$	33.5370	+	24.3661i	1.09561	+	0.796005i	0.115270	+	0.993334i	$0.463227\pi$
$938$	1.23002	−	3.78562i	0.0401617	−	0.123605i
$939$	6.73004	+	20.7129i	0.219626	+	0.675941i
$940$	−0.899008	+	0.653168i	−0.0293224	+	0.0213040i
$941$	−12.3519	+	8.97421i	−0.402662	+	0.292551i	−0.770624	−	0.637290i	$-0.780055\pi$
$941$	−12.3519	+	8.97421i	−0.402662	+	0.292551i	0.367962	+	0.929841i	$0.380055\pi$
$942$	−0.298809	−	0.919640i	−0.00973573	−	0.0299635i
$943$	−0.000316336	0	0.000973582i	−1.03013e−5	0	3.17042e-5i
$944$	−1.52884	−	1.11077i	−0.0497596	−	0.0361525i
$945$	−1.98236			−0.0644860
$946$	26.5973	−	24.6200i	0.864754	−	0.800464i
$947$	−46.6618			−1.51631			−0.758153	−	0.652077i	$-0.773898\pi$
$947$	−46.6618			−1.51631			−0.758153	+	0.652077i	$0.773898\pi$
$948$	−0.675713	−	0.490934i	−0.0219461	−	0.0159448i
$949$	−0.826159	+	2.54266i	−0.0268183	+	0.0825381i
$950$	2.54306	+	7.82673i	0.0825077	+	0.253932i
$951$	22.1228	−	16.0731i	0.717379	−	0.521207i
$952$	14.4262	−	10.4813i	0.467557	−	0.339700i
$953$	0.664736	+	2.04585i	0.0215329	+	0.0662714i	0.961246	−	0.275694i	$-0.0889075\pi$
$953$	0.664736	+	2.04585i	0.0215329	+	0.0662714i	−0.939713	+	0.341965i	$0.888908\pi$
$954$	−6.70148	+	20.6250i	−0.216968	+	0.667760i
$955$	6.39785	+	4.64831i	0.207029	+	0.150416i
$956$	16.9975			0.549737
$957$	−3.07512	+	15.5150i	−0.0994046	+	0.501527i
$958$	−2.97241			−0.0960341
$959$	3.86640	+	2.80910i	0.124852	+	0.0907106i
$960$	−0.684199	+	2.10575i	−0.0220824	+	0.0679628i
$961$	−9.52854	−	29.3258i	−0.307372	−	0.945994i
$962$	5.96461	−	4.33354i	0.192307	−	0.139719i
$963$	19.7143	−	14.3233i	0.635284	−	0.461561i
$964$	−5.85463	−	18.0187i	−0.188565	−	0.580343i
$965$	0.720121	−	2.21630i	0.0231815	−	0.0713454i
$966$	−1.53760	−	1.11713i	−0.0494714	−	0.0359431i
$967$	−37.8034			−1.21568			−0.607838	−	0.794061i	$-0.707963\pi$
$967$	−37.8034			−1.21568			−0.607838	+	0.794061i	$0.707963\pi$
$968$	−20.7189	+	24.3258i	−0.665930	+	0.781859i
$969$	11.1005			0.356601
$970$	−4.12205	−	2.99485i	−0.132351	−	0.0961587i
$971$	−15.2165	+	46.8316i	−0.488321	+	1.50290i	0.338791	+	0.940862i	$0.389982\pi$
$971$	−15.2165	+	46.8316i	−0.488321	+	1.50290i	−0.827112	+	0.562037i	$0.810018\pi$
$972$	−5.60718	−	17.2571i	−0.179850	−	0.553523i
$973$	−10.3070	+	7.48846i	−0.330426	+	0.240069i
$974$	−17.8571	+	12.9740i	−0.572180	+	0.415713i
$975$	1.56556	+	4.81829i	0.0501380	+	0.154309i
$976$	−0.599943	+	1.84643i	−0.0192037	+	0.0591029i
$977$	13.3568	+	9.70427i	0.427321	+	0.310467i	0.780577	−	0.625060i	$-0.214925\pi$
$977$	13.3568	+	9.70427i	0.427321	+	0.310467i	−0.353256	+	0.935527i	$0.614925\pi$
$978$	−1.00174			−0.0320320
$979$	9.23078	−	46.5722i	0.295017	−	1.48845i
$980$	−2.48053			−0.0792377
$981$	−15.5109	−	11.2694i	−0.495226	−	0.359803i
$982$	1.65876	−	5.10515i	0.0529333	−	0.162912i
$983$	−13.9879	−	43.0504i	−0.446146	−	1.37310i	−0.881222	−	0.472702i	$-0.843279\pi$
$983$	−13.9879	−	43.0504i	−0.446146	−	1.37310i	0.435076	−	0.900394i	$-0.356721\pi$
$984$	0.00133668		0.000971157i	4.26119e−5		3.09594e-5i
$985$	5.59891	−	4.06785i	0.178396	−	0.129612i
$986$	−7.58997	−	23.3595i	−0.241714	−	0.743919i
$987$	−0.895718	+	2.75674i	−0.0285110	+	0.0877479i
$988$	−1.70467	−	1.23851i	−0.0542327	−	0.0394023i
$989$	−22.2012			−0.705957
$990$	−1.57763	+	1.46034i	−0.0501404	+	0.0464127i
$991$	47.4794			1.50823			0.754117	−	0.656740i	$-0.228065\pi$
$991$	47.4794			1.50823			0.754117	+	0.656740i	$0.228065\pi$
$992$	1.79364	+	1.30315i	0.0569480	+	0.0413752i
$993$	8.11453	−	24.9740i	0.257507	−	0.792525i
$994$	−1.38209	−	4.25362i	−0.0438371	−	0.134917i
$995$	3.11877	−	2.26592i	0.0988717	−	0.0718345i
$996$	−11.4490	+	8.31815i	−0.362774	+	0.263571i
$997$	−0.336656	−	1.03612i	−0.0106620	−	0.0328142i	0.945584	−	0.325378i	$-0.105492\pi$
$997$	−0.336656	−	1.03612i	−0.0106620	−	0.0328142i	−0.956246	+	0.292564i	$0.905492\pi$
$998$	7.83954	−	24.1276i	0.248156	−	0.763746i
$999$	−33.0980	−	24.0471i	−1.04717	−	0.760816i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	143.2.h.b.92.3	yes	16
11.3	even	5	inner	143.2.h.b.14.3	✓	16
11.5	even	5		1573.2.a.o.1.3		8
11.6	odd	10		1573.2.a.n.1.6		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
143.2.h.b.14.3	✓	16	11.3	even	5	inner
143.2.h.b.92.3	yes	16	1.1	even	1	trivial
1573.2.a.n.1.6		8	11.6	odd	10
1573.2.a.o.1.3		8	11.5	even	5

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:	\( N \)	\(=\)	\( 143 = 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	143.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.746262 + 0.542191i) q^{2} +(0.321770 - 0.990305i) q^{3} +(-0.355098 - 1.09288i) q^{4} +(0.296742 - 0.215596i) q^{5} +(0.777060 - 0.564567i) q^{6} +(-0.326279 - 1.00418i) q^{7} +(0.897647 - 2.76267i) q^{8} +(1.54988 + 1.12606i) q^{9} +O(q^{10})\)	\(q+(0.746262 + 0.542191i) q^{2} +(0.321770 - 0.990305i) q^{3} +(-0.355098 - 1.09288i) q^{4} +(0.296742 - 0.215596i) q^{5} +(0.777060 - 0.564567i) q^{6} +(-0.326279 - 1.00418i) q^{7} +(0.897647 - 2.76267i) q^{8} +(1.54988 + 1.12606i) q^{9} +0.338341 q^{10} +(-0.644824 + 3.25334i) q^{11} -1.19654 q^{12} +(0.809017 + 0.587785i) q^{13} +(0.300970 - 0.926290i) q^{14} +(-0.118023 - 0.363237i) q^{15} +(0.308460 - 0.224109i) q^{16} +(-4.70352 + 3.41731i) q^{17} +(0.546081 + 1.68066i) q^{18} +(0.566628 - 1.74390i) q^{19} +(-0.340992 - 0.247745i) q^{20} -1.09944 q^{21} +(-2.24514 + 2.07822i) q^{22} +1.87405 q^{23} +(-2.44705 - 1.77789i) q^{24} +(-1.50351 + 4.62733i) q^{25} +(0.285047 + 0.877284i) q^{26} +(4.14106 - 3.00865i) q^{27} +(-0.981591 + 0.713168i) q^{28} +(1.41528 + 4.35577i) q^{29} +(0.108868 - 0.335061i) q^{30} +(-0.328626 - 0.238761i) q^{31} -5.45799 q^{32} +(3.01431 + 1.68540i) q^{33} -5.36289 q^{34} +(-0.313318 - 0.227639i) q^{35} +(0.680282 - 2.09369i) q^{36} +(-2.46986 - 7.60145i) q^{37} +(1.36838 - 0.994187i) q^{38} +(0.842404 - 0.612042i) q^{39} +(-0.329251 - 1.01333i) q^{40} +(-0.000168798 + 0.000519507i) q^{41} +(-0.820467 - 0.596104i) q^{42} -11.8466 q^{43} +(3.78448 - 0.450539i) q^{44} +0.702687 q^{45} +(1.39853 + 1.01609i) q^{46} +(0.814707 - 2.50741i) q^{47} +(-0.122683 - 0.377581i) q^{48} +(4.76119 - 3.45921i) q^{49} +(-3.63091 + 2.63801i) q^{50} +(1.87073 + 5.75751i) q^{51} +(0.355098 - 1.09288i) q^{52} +(9.92821 + 7.21327i) q^{53} +4.72158 q^{54} +(0.510059 + 1.10442i) q^{55} -3.06712 q^{56} +(-1.54467 - 1.12227i) q^{57} +(-1.30549 + 4.01790i) q^{58} +(-1.53160 - 4.71379i) q^{59} +(-0.355065 + 0.257970i) q^{60} +(-4.11950 + 2.99299i) q^{61} +(-0.115787 - 0.356356i) q^{62} +(0.625072 - 1.92378i) q^{63} +(-4.69001 - 3.40749i) q^{64} +0.366793 q^{65} +(1.33566 + 2.89208i) q^{66} +4.08687 q^{67} +(5.40492 + 3.92690i) q^{68} +(0.603013 - 1.85588i) q^{69} +(-0.110394 - 0.339757i) q^{70} +(3.71509 - 2.69917i) q^{71} +(4.50217 - 3.27102i) q^{72} +(0.826159 + 2.54266i) q^{73} +(2.27828 - 7.01181i) q^{74} +(4.09869 + 2.97787i) q^{75} -2.10708 q^{76} +(3.47734 - 0.413974i) q^{77} +0.960498 q^{78} +(0.564720 + 0.410293i) q^{79} +(0.0432160 - 0.133005i) q^{80} +(0.128987 + 0.396982i) q^{81} +(-0.000407640 + 0.000296167i) q^{82} +(9.56835 - 6.95181i) q^{83} +(0.390408 + 1.20155i) q^{84} +(-0.658975 + 2.02812i) q^{85} +(-8.84069 - 6.42314i) q^{86} +4.76893 q^{87} +(8.40908 + 4.70179i) q^{88} -14.3152 q^{89} +(0.524389 + 0.380991i) q^{90} +(0.326279 - 1.00418i) q^{91} +(-0.665472 - 2.04811i) q^{92} +(-0.342188 + 0.248614i) q^{93} +(1.96748 - 1.42946i) q^{94} +(-0.207835 - 0.639651i) q^{95} +(-1.75622 + 5.40508i) q^{96} +(-12.1831 - 8.85156i) q^{97} +5.42865 q^{98} +(-4.66284 + 4.31618i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 2 q^{2} + 5 q^{3} - 8 q^{4} + 5 q^{5} - 4 q^{6} + 9 q^{7} - 4 q^{8} - 7 q^{9}+O(q^{10}) \) 16 * q + 2 * q^2 + 5 * q^3 - 8 * q^4 + 5 * q^5 - 4 * q^6 + 9 * q^7 - 4 * q^8 - 7 * q^9	\( 16 q + 2 q^{2} + 5 q^{3} - 8 q^{4} + 5 q^{5} - 4 q^{6} + 9 q^{7} - 4 q^{8} - 7 q^{9} - 12 q^{10} + 6 q^{11} - 14 q^{12} + 4 q^{13} - q^{14} - 10 q^{15} + 10 q^{16} - 6 q^{17} + 20 q^{18} + 2 q^{19} - 21 q^{20} - 8 q^{21} + 2 q^{22} - 46 q^{23} + 3 q^{24} + 23 q^{25} + 3 q^{26} + 17 q^{27} - 9 q^{28} - 25 q^{29} + 22 q^{30} + 3 q^{31} + 24 q^{32} - 10 q^{33} + 4 q^{34} + 26 q^{35} - 2 q^{36} - 7 q^{37} + 5 q^{38} + 25 q^{40} - 3 q^{41} - 12 q^{42} - 16 q^{43} + 32 q^{44} - 46 q^{45} - 11 q^{46} + 13 q^{47} - 24 q^{48} + 19 q^{49} - 19 q^{50} - 23 q^{51} + 8 q^{52} - 14 q^{53} + 6 q^{54} - 5 q^{55} - 68 q^{56} + 23 q^{57} + 20 q^{58} + 16 q^{59} + 34 q^{60} - 13 q^{61} + 28 q^{62} + 18 q^{63} - 40 q^{64} + 10 q^{65} + 41 q^{66} - 62 q^{67} + 13 q^{68} + 4 q^{69} - 2 q^{70} + 54 q^{71} + 21 q^{72} - 42 q^{73} + 42 q^{74} + 51 q^{75} - 4 q^{76} + 14 q^{77} - 6 q^{78} - 15 q^{79} - 19 q^{80} + q^{81} - 7 q^{82} - 43 q^{83} - 35 q^{84} - 3 q^{85} - 32 q^{86} + 4 q^{87} + 41 q^{88} - 30 q^{89} + 26 q^{90} - 9 q^{91} + 3 q^{92} + 49 q^{93} + 4 q^{94} + 23 q^{95} + 23 q^{96} - 12 q^{97} + 24 q^{98} - 7 q^{99}+O(q^{100}) \) 16 * q + 2 * q^2 + 5 * q^3 - 8 * q^4 + 5 * q^5 - 4 * q^6 + 9 * q^7 - 4 * q^8 - 7 * q^9 - 12 * q^10 + 6 * q^11 - 14 * q^12 + 4 * q^13 - q^14 - 10 * q^15 + 10 * q^16 - 6 * q^17 + 20 * q^18 + 2 * q^19 - 21 * q^20 - 8 * q^21 + 2 * q^22 - 46 * q^23 + 3 * q^24 + 23 * q^25 + 3 * q^26 + 17 * q^27 - 9 * q^28 - 25 * q^29 + 22 * q^30 + 3 * q^31 + 24 * q^32 - 10 * q^33 + 4 * q^34 + 26 * q^35 - 2 * q^36 - 7 * q^37 + 5 * q^38 + 25 * q^40 - 3 * q^41 - 12 * q^42 - 16 * q^43 + 32 * q^44 - 46 * q^45 - 11 * q^46 + 13 * q^47 - 24 * q^48 + 19 * q^49 - 19 * q^50 - 23 * q^51 + 8 * q^52 - 14 * q^53 + 6 * q^54 - 5 * q^55 - 68 * q^56 + 23 * q^57 + 20 * q^58 + 16 * q^59 + 34 * q^60 - 13 * q^61 + 28 * q^62 + 18 * q^63 - 40 * q^64 + 10 * q^65 + 41 * q^66 - 62 * q^67 + 13 * q^68 + 4 * q^69 - 2 * q^70 + 54 * q^71 + 21 * q^72 - 42 * q^73 + 42 * q^74 + 51 * q^75 - 4 * q^76 + 14 * q^77 - 6 * q^78 - 15 * q^79 - 19 * q^80 + q^81 - 7 * q^82 - 43 * q^83 - 35 * q^84 - 3 * q^85 - 32 * q^86 + 4 * q^87 + 41 * q^88 - 30 * q^89 + 26 * q^90 - 9 * q^91 + 3 * q^92 + 49 * q^93 + 4 * q^94 + 23 * q^95 + 23 * q^96 - 12 * q^97 + 24 * q^98 - 7 * q^99

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