LMFDB - Embedded newform 360.2.bf.b.61.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(61,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 0]))

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

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

chi := DirichletCharacter("360.61");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bf (of order $6$, degree $2$, 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:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$92$
Relative dimension:	$46$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			61.13
Character	$\chi$	$=$	360.61
Dual form			360.2.bf.b.301.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.884696 + 1.10332i) q^{2} +(-1.72914 - 0.100320i) q^{3} +(-0.434624 - 1.95220i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.64045 - 1.81904i) q^{6} +(-2.03225 + 3.51996i) q^{7} +(2.53841 + 1.24758i) q^{8} +(2.97987 + 0.346937i) q^{9} +O(q^{10})$	\(q+(-0.884696 + 1.10332i) q^{2} +(-1.72914 - 0.100320i) q^{3} +(-0.434624 - 1.95220i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.64045 - 1.81904i) q^{6} +(-2.03225 + 3.51996i) q^{7} +(2.53841 + 1.24758i) q^{8} +(2.97987 + 0.346937i) q^{9} +(-0.214510 + 1.39785i) q^{10} +(-3.04296 - 1.75686i) q^{11} +(0.555682 + 3.41924i) q^{12} +(1.36283 - 0.786833i) q^{13} +(-2.08571 - 5.35632i) q^{14} +(-1.54764 + 0.777691i) q^{15} +(-3.62220 + 1.69695i) q^{16} -4.03784 q^{17} +(-3.01906 + 2.98081i) q^{18} -4.92575i q^{19} +(-1.35250 - 1.47335i) q^{20} +(3.86718 - 5.88264i) q^{21} +(4.63047 - 1.80307i) q^{22} +(-3.37942 - 5.85333i) q^{23} +(-4.26412 - 2.41190i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-0.337567 + 2.19975i) q^{26} +(-5.11782 - 0.898846i) q^{27} +(7.75495 + 2.43751i) q^{28} +(-7.22364 - 4.17057i) q^{29} +(0.511152 - 2.39556i) q^{30} +(2.88503 + 4.99702i) q^{31} +(1.33227 - 5.49773i) q^{32} +(5.08547 + 3.34313i) q^{33} +(3.57226 - 4.45502i) q^{34} +4.06450i q^{35} +(-0.617833 - 5.96811i) q^{36} -2.39495i q^{37} +(5.43467 + 4.35779i) q^{38} +(-2.43547 + 1.22383i) q^{39} +(2.82212 - 0.188772i) q^{40} +(-2.86545 - 4.96311i) q^{41} +(3.06915 + 9.47108i) q^{42} +(1.47416 + 0.851105i) q^{43} +(-2.10720 + 6.70406i) q^{44} +(2.75411 - 1.18948i) q^{45} +(9.44786 + 1.44984i) q^{46} +(3.91801 - 6.78619i) q^{47} +(6.43355 - 2.57089i) q^{48} +(-4.76009 - 8.24472i) q^{49} +(0.513154 + 1.31783i) q^{50} +(6.98200 + 0.405078i) q^{51} +(-2.12838 - 2.31855i) q^{52} +5.51086i q^{53} +(5.51943 - 4.85138i) q^{54} -3.51371 q^{55} +(-9.55013 + 6.39973i) q^{56} +(-0.494153 + 8.51732i) q^{57} +(10.9922 - 4.28029i) q^{58} +(-9.58683 + 5.53496i) q^{59} +(2.19086 + 2.68331i) q^{60} +(-0.0902332 - 0.0520962i) q^{61} +(-8.06568 - 1.23774i) q^{62} +(-7.27705 + 9.78397i) q^{63} +(4.88709 + 6.33374i) q^{64} +(0.786833 - 1.36283i) q^{65} +(-8.18763 + 2.65324i) q^{66} +(-12.7226 + 7.34539i) q^{67} +(1.75494 + 7.88268i) q^{68} +(5.25630 + 10.4603i) q^{69} +(-4.48444 - 3.59585i) q^{70} +8.24945 q^{71} +(7.13132 + 4.59829i) q^{72} -11.6442 q^{73} +(2.64239 + 2.11880i) q^{74} +(-0.951452 + 1.44732i) q^{75} +(-9.61607 + 2.14085i) q^{76} +(12.3681 - 7.14075i) q^{77} +(0.804382 - 3.76982i) q^{78} +(3.31085 - 5.73456i) q^{79} +(-2.28844 + 3.28070i) q^{80} +(8.75927 + 2.06765i) q^{81} +(8.01095 + 1.22934i) q^{82} +(-6.55982 - 3.78732i) q^{83} +(-13.1649 - 4.99278i) q^{84} +(-3.49687 + 2.01892i) q^{85} +(-2.24322 + 0.873495i) q^{86} +(12.0723 + 7.93619i) q^{87} +(-5.53249 - 8.25597i) q^{88} -0.401187 q^{89} +(-1.12418 + 4.09099i) q^{90} +6.39617i q^{91} +(-9.95812 + 9.14133i) q^{92} +(-4.48733 - 8.92999i) q^{93} +(4.02108 + 10.3265i) q^{94} +(-2.46287 - 4.26582i) q^{95} +(-2.85522 + 9.37271i) q^{96} +(-0.679794 + 1.17744i) q^{97} +(13.3078 + 2.04218i) q^{98} +(-8.45812 - 6.29092i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9}+O(q^{10}) $ 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9	$ 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9} + 4 q^{10} + 22 q^{12} - 18 q^{14} - 8 q^{16} + 12 q^{17} - 16 q^{18} - 4 q^{20} - 10 q^{22} + 28 q^{23} + 24 q^{24} + 46 q^{25} - 64 q^{26} - 10 q^{30} + 8 q^{31} - 28 q^{32} - 14 q^{33} - 38 q^{36} - 6 q^{38} - 24 q^{39} + 2 q^{40} - 18 q^{41} + 22 q^{42} - 36 q^{44} + 4 q^{46} - 36 q^{47} - 76 q^{48} - 30 q^{49} - 2 q^{50} + 6 q^{52} + 42 q^{54} + 20 q^{55} - 38 q^{56} - 34 q^{57} + 18 q^{58} - 14 q^{60} + 60 q^{62} - 32 q^{63} - 48 q^{64} + 12 q^{65} + 36 q^{66} + 16 q^{68} + 8 q^{70} - 8 q^{71} + 92 q^{72} - 4 q^{73} + 52 q^{74} + 22 q^{76} + 58 q^{78} + 20 q^{79} - 16 q^{80} + 18 q^{81} - 16 q^{82} + 38 q^{84} - 60 q^{86} - 48 q^{87} - 20 q^{88} - 24 q^{89} - 24 q^{90} + 36 q^{92} - 14 q^{94} - 18 q^{95} - 38 q^{96} - 14 q^{97} - 60 q^{98}+O(q^{100}) $ 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9 + 4 * q^10 + 22 * q^12 - 18 * q^14 - 8 * q^16 + 12 * q^17 - 16 * q^18 - 4 * q^20 - 10 * q^22 + 28 * q^23 + 24 * q^24 + 46 * q^25 - 64 * q^26 - 10 * q^30 + 8 * q^31 - 28 * q^32 - 14 * q^33 - 38 * q^36 - 6 * q^38 - 24 * q^39 + 2 * q^40 - 18 * q^41 + 22 * q^42 - 36 * q^44 + 4 * q^46 - 36 * q^47 - 76 * q^48 - 30 * q^49 - 2 * q^50 + 6 * q^52 + 42 * q^54 + 20 * q^55 - 38 * q^56 - 34 * q^57 + 18 * q^58 - 14 * q^60 + 60 * q^62 - 32 * q^63 - 48 * q^64 + 12 * q^65 + 36 * q^66 + 16 * q^68 + 8 * q^70 - 8 * q^71 + 92 * q^72 - 4 * q^73 + 52 * q^74 + 22 * q^76 + 58 * q^78 + 20 * q^79 - 16 * q^80 + 18 * q^81 - 16 * q^82 + 38 * q^84 - 60 * q^86 - 48 * q^87 - 20 * q^88 - 24 * q^89 - 24 * q^90 + 36 * q^92 - 14 * q^94 - 18 * q^95 - 38 * q^96 - 14 * q^97 - 60 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$1$	$1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.884696	+	1.10332i	−0.625575	+	0.780164i
$2$	−0.884696	+	1.10332i	−0.625575	+	0.780164i
$3$	−1.72914	−	0.100320i	−0.998321	−	0.0579200i
$3$	−1.72914	−	0.100320i	−0.998321	−	0.0579200i
$4$	−0.434624	−	1.95220i	−0.217312	−	0.976102i
$5$	0.866025	−	0.500000i	0.387298	−	0.223607i
$5$	0.866025	−	0.500000i	0.387298	−	0.223607i
$6$	1.64045	−	1.81904i	0.669712	−	0.742621i
$7$	−2.03225	+	3.51996i	−0.768119	+	1.33042i	0.170463	+	0.985364i	$0.445474\pi$
$7$	−2.03225	+	3.51996i	−0.768119	+	1.33042i	−0.938582	+	0.345057i	$0.887860\pi$
$8$	2.53841	+	1.24758i	0.897465	+	0.441086i
$9$	2.97987	+	0.346937i	0.993291	+	0.115646i
$10$	−0.214510	+	1.39785i	−0.0678341	+	0.442039i
$11$	−3.04296	−	1.75686i	−0.917488	−	0.529712i	−0.0346553	−	0.999399i	$-0.511033\pi$
$11$	−3.04296	−	1.75686i	−0.917488	−	0.529712i	−0.882833	+	0.469687i	$0.844367\pi$
$12$	0.555682	+	3.41924i	0.160412	+	0.987050i
$13$	1.36283	−	0.786833i	0.377982	−	0.218228i	−0.298958	−	0.954266i	$-0.596639\pi$
$13$	1.36283	−	0.786833i	0.377982	−	0.218228i	0.676940	+	0.736038i	$0.263306\pi$
$14$	−2.08571	−	5.35632i	−0.557431	−	1.43154i
$15$	−1.54764	+	0.777691i	−0.399599	+	0.200799i
$16$	−3.62220	+	1.69695i	−0.905551	+	0.424238i
$17$	−4.03784			−0.979319			−0.489660	−	0.871914i	$-0.662879\pi$
$17$	−4.03784			−0.979319			−0.489660	+	0.871914i	$0.662879\pi$
$18$	−3.01906	+	2.98081i	−0.711600	+	0.702585i
$19$		−	4.92575i		−	1.13004i	−0.825076	−	0.565022i	$-0.808868\pi$
$19$		−	4.92575i		−	1.13004i	0.825076	−	0.565022i	$-0.191132\pi$
$20$	−1.35250	−	1.47335i	−0.302428	−	0.329450i
$21$	3.86718	−	5.88264i	0.843887	−	1.28370i
$22$	4.63047	−	1.80307i	0.987220	−	0.384417i
$23$	−3.37942	−	5.85333i	−0.704659	−	1.22050i	−0.966815	−	0.255479i	$-0.917767\pi$
$23$	−3.37942	−	5.85333i	−0.704659	−	1.22050i	0.262156	−	0.965026i	$-0.415567\pi$
$24$	−4.26412	−	2.41190i	−0.870411	−	0.492326i
$25$	0.500000	−	0.866025i	0.100000	−	0.173205i
$26$	−0.337567	+	2.19975i	−0.0662024	+	0.431406i
$27$	−5.11782	−	0.898846i	−0.984925	−	0.172983i
$28$	7.75495	+	2.43751i	1.46555	+	0.460646i
$29$	−7.22364	−	4.17057i	−1.34140	−	0.774456i	−0.354384	−	0.935100i	$-0.615310\pi$
$29$	−7.22364	−	4.17057i	−1.34140	−	0.774456i	−0.987012	+	0.160644i	$0.948643\pi$
$30$	0.511152	−	2.39556i	0.0933231	−	0.437368i
$31$	2.88503	+	4.99702i	0.518167	+	0.897491i	0.999777	+	0.0211056i	$0.00671863\pi$
$31$	2.88503	+	4.99702i	0.518167	+	0.897491i	−0.481611	+	0.876385i	$0.659948\pi$
$32$	1.33227	−	5.49773i	0.235515	−	0.971871i
$33$	5.08547	+	3.34313i	0.885267	+	0.581964i
$34$	3.57226	−	4.45502i	0.612637	−	0.764030i
$35$			4.06450i			0.687026i
$36$	−0.617833	−	5.96811i	−0.102972	−	0.994684i
$37$		−	2.39495i		−	0.393728i	−0.980431	−	0.196864i	$-0.936924\pi$
$37$		−	2.39495i		−	0.393728i	0.980431	−	0.196864i	$-0.0630757\pi$
$38$	5.43467	+	4.35779i	0.881620	+	0.706927i
$39$	−2.43547	+	1.22383i	−0.389988	+	0.195969i
$40$	2.82212	−	0.188772i	0.446216	−	0.0298475i
$41$	−2.86545	−	4.96311i	−0.447509	−	0.775108i	0.550714	−	0.834694i	$-0.314355\pi$
$41$	−2.86545	−	4.96311i	−0.447509	−	0.775108i	−0.998223	+	0.0595857i	$0.981022\pi$
$42$	3.06915	+	9.47108i	0.473580	+	1.46142i
$43$	1.47416	+	0.851105i	0.224807	+	0.129792i	0.608174	−	0.793804i	$-0.291902\pi$
$43$	1.47416	+	0.851105i	0.224807	+	0.129792i	−0.383367	+	0.923596i	$0.625236\pi$
$44$	−2.10720	+	6.70406i	−0.317672	+	1.01067i
$45$	2.75411	−	1.18948i	0.410559	−	0.177317i
$46$	9.44786	+	1.44984i	1.39301	+	0.213768i
$47$	3.91801	−	6.78619i	0.571500	−	0.989868i	−0.424912	−	0.905235i	$-0.639695\pi$
$47$	3.91801	−	6.78619i	0.571500	−	0.989868i	0.996412	−	0.0846330i	$-0.0269718\pi$
$48$	6.43355	−	2.57089i	0.928602	−	0.371076i
$49$	−4.76009	−	8.24472i	−0.680013	−	1.17782i
$50$	0.513154	+	1.31783i	0.0725709	+	0.186369i
$51$	6.98200	+	0.405078i	0.977675	+	0.0567222i
$52$	−2.12838	−	2.31855i	−0.295153	−	0.321526i
$53$			5.51086i			0.756975i	0.925606	+	0.378488i	$0.123556\pi$
$53$			5.51086i			0.756975i	−0.925606	+	0.378488i	$0.876444\pi$
$54$	5.51943	−	4.85138i	0.751099	−	0.660189i
$55$	−3.51371			−0.473789
$56$	−9.55013	+	6.39973i	−1.27619	+	0.855200i
$57$	−0.494153	+	8.51732i	−0.0654522	+	1.12815i
$58$	10.9922	−	4.28029i	1.44335	−	0.562030i
$59$	−9.58683	+	5.53496i	−1.24810	+	0.720590i	−0.970730	−	0.240173i	$-0.922796\pi$
$59$	−9.58683	+	5.53496i	−1.24810	+	0.720590i	−0.277369	+	0.960763i	$0.589462\pi$
$60$	2.19086	+	2.68331i	0.282838	+	0.346414i
$61$	−0.0902332	−	0.0520962i	−0.0115532	−	0.00667023i	0.494212	−	0.869341i	$-0.335457\pi$
$61$	−0.0902332	−	0.0520962i	−0.0115532	−	0.00667023i	−0.505765	+	0.862671i	$0.668790\pi$
$62$	−8.06568	−	1.23774i	−1.02434	−	0.157193i
$63$	−7.27705	+	9.78397i	−0.916822	+	1.23266i
$64$	4.88709	+	6.33374i	0.610887	+	0.791718i
$65$	0.786833	−	1.36283i	0.0975946	−	0.169039i
$66$	−8.18763	+	2.65324i	−1.00783	+	0.326592i
$67$	−12.7226	+	7.34539i	−1.55431	+	0.897382i	−0.556528	+	0.830829i	$0.687867\pi$
$67$	−12.7226	+	7.34539i	−1.55431	+	0.897382i	−0.997783	+	0.0665531i	$0.978800\pi$
$68$	1.75494	+	7.88268i	0.212818	+	0.955916i
$69$	5.25630	+	10.4603i	0.632784	+	1.25927i
$70$	−4.48444	−	3.59585i	−0.535993	−	0.429786i
$71$	8.24945			0.979030			0.489515	−	0.871995i	$-0.337174\pi$
$71$	8.24945			0.979030			0.489515	+	0.871995i	$0.337174\pi$
$72$	7.13132	+	4.59829i	0.840434	+	0.541914i
$73$	−11.6442			−1.36286			−0.681428	−	0.731885i	$-0.738641\pi$
$73$	−11.6442			−1.36286			−0.681428	+	0.731885i	$0.738641\pi$
$74$	2.64239	+	2.11880i	0.307172	+	0.246306i
$75$	−0.951452	+	1.44732i	−0.109864	+	0.167122i
$76$	−9.61607	+	2.14085i	−1.10304	+	0.245572i
$77$	12.3681	−	7.14075i	1.40948	−	0.813763i
$78$	0.804382	−	3.76982i	0.0910783	−	0.426848i
$79$	3.31085	−	5.73456i	0.372500	−	0.645188i	−0.617450	−	0.786610i	$-0.711834\pi$
$79$	3.31085	−	5.73456i	0.372500	−	0.645188i	0.989949	+	0.141422i	$0.0451675\pi$
$80$	−2.28844	+	3.28070i	−0.255856	+	0.366794i
$81$	8.75927	+	2.06765i	0.973252	+	0.229739i
$82$	8.01095	+	1.22934i	0.884662	+	0.135758i
$83$	−6.55982	−	3.78732i	−0.720034	−	0.415712i	0.0947311	−	0.995503i	$-0.469801\pi$
$83$	−6.55982	−	3.78732i	−0.720034	−	0.415712i	−0.814765	+	0.579791i	$0.803134\pi$
$84$	−13.1649	−	4.99278i	−1.43641	−	0.544757i
$85$	−3.49687	+	2.01892i	−0.379289	+	0.218982i
$86$	−2.24322	+	0.873495i	−0.241893	+	0.0941914i
$87$	12.0723	+	7.93619i	1.29429	+	0.850849i
$88$	−5.53249	−	8.25597i	−0.589765	−	0.880089i
$89$	−0.401187			−0.0425258			−0.0212629	−	0.999774i	$-0.506769\pi$
$89$	−0.401187			−0.0425258			−0.0212629	+	0.999774i	$0.506769\pi$
$90$	−1.12418	+	4.09099i	−0.118499	+	0.431229i
$91$			6.39617i			0.670501i
$92$	−9.95812	+	9.14133i	−1.03821	+	0.953049i
$93$	−4.48733	−	8.92999i	−0.465314	−	0.925996i
$94$	4.02108	+	10.3265i	0.414743	+	1.06510i
$95$	−2.46287	−	4.26582i	−0.252686	−	0.437664i
$96$	−2.85522	+	9.37271i	−0.291410	+	0.956598i
$97$	−0.679794	+	1.17744i	−0.0690227	+	0.119551i	−0.898471	−	0.439032i	$-0.855321\pi$
$97$	−0.679794	+	1.17744i	−0.0690227	+	0.119551i	0.829449	+	0.558583i	$0.188655\pi$
$98$	13.3078	+	2.04218i	1.34429	+	0.206291i
$99$	−8.45812	−	6.29092i	−0.850073	−	0.632261i
$100$	−1.90797	−	0.599706i	−0.190797	−	0.0599706i
$101$	11.8912	+	6.86538i	1.18322	+	0.683131i	0.956757	−	0.290889i	$-0.0939510\pi$
$101$	11.8912	+	6.86538i	1.18322	+	0.683131i	0.226461	+	0.974020i	$0.427284\pi$
$102$	−6.62388	+	7.34500i	−0.655862	+	0.727263i
$103$	0.750272	+	1.29951i	0.0739265	+	0.128044i	0.900619	−	0.434610i	$-0.143114\pi$
$103$	0.750272	+	1.29951i	0.0739265	+	0.128044i	−0.826692	+	0.562654i	$0.809780\pi$
$104$	4.44107	−	0.297064i	0.435483	−	0.0291295i
$105$	0.407753	−	7.02811i	0.0397926	−	0.685873i
$106$	−6.08024	−	4.87544i	−0.590565	−	0.473545i
$107$		−	6.12308i		−	0.591940i	−0.955197	−	0.295970i	$-0.904357\pi$
$107$		−	6.12308i		−	0.591940i	0.955197	−	0.295970i	$-0.0956429\pi$
$108$	0.469599	+	10.3817i	0.0451872	+	0.998979i
$109$			4.33382i			0.415105i	0.978224	+	0.207552i	$0.0665497\pi$
$109$			4.33382i			0.415105i	−0.978224	+	0.207552i	$0.933450\pi$
$110$	3.10857	−	3.87674i	0.296390	−	0.369633i
$111$	−0.240263	+	4.14121i	−0.0228047	+	0.393067i
$112$	1.38802	−	16.1987i	0.131156	−	1.53063i
$113$	4.65763	+	8.06725i	0.438153	+	0.758903i	0.997547	−	0.0699989i	$-0.0222996\pi$
$113$	4.65763	+	8.06725i	0.438153	+	0.758903i	−0.559394	+	0.828902i	$0.688966\pi$
$114$	−8.96015	−	8.08045i	−0.839195	−	0.756804i
$115$	−5.85333	−	3.37942i	−0.545826	−	0.315133i
$116$	−5.00224	+	15.9147i	−0.464446	+	1.47764i
$117$	4.33405	−	1.87184i	0.400683	−	0.173052i
$118$	2.37461	−	15.4741i	0.218601	−	1.42451i
$119$	8.20590	−	14.2130i	0.752233	−	1.30291i
$120$	−4.89879	+	0.0432976i	−0.447196	+	0.00395251i
$121$	0.673086	+	1.16582i	0.0611896	+	0.105984i
$122$	0.137308	−	0.0534667i	0.0124312	−	0.00484065i
$123$	4.45688	+	8.86940i	0.401863	+	0.799727i
$124$	8.50130	−	7.80399i	0.763439	−	0.700819i
$125$		−	1.00000i		−	0.0894427i
$126$	−4.35686	−	16.6848i	−0.388140	−	1.48640i
$127$	18.2677			1.62099			0.810496	−	0.585744i	$-0.199198\pi$
$127$	18.2677			1.62099			0.810496	+	0.585744i	$0.199198\pi$
$128$	−11.3117	−	0.211419i	−0.999825	−	0.0186869i
$129$	−2.46364	−	1.61957i	−0.216912	−	0.142595i
$130$	0.807533	+	2.07382i	0.0708253	+	0.181886i
$131$	3.72167	−	2.14871i	0.325164	−	0.187733i	−0.328528	−	0.944494i	$-0.606553\pi$
$131$	3.72167	−	2.14871i	0.325164	−	0.187733i	0.653692	+	0.756761i	$0.273219\pi$
$132$	4.31620	−	11.3809i	0.375677	−	0.990579i
$133$	17.3384	+	10.0104i	1.50343	+	0.868008i
$134$	3.15132	−	20.5355i	0.272233	−	1.77400i
$135$	−4.88158	+	1.78049i	−0.420140	+	0.153240i
$136$	−10.2497	−	5.03752i	−0.878905	−	0.431964i
$137$	−3.15524	+	5.46504i	−0.269571	+	0.466910i	−0.968751	−	0.248035i	$-0.920215\pi$
$137$	−3.15524	+	5.46504i	−0.269571	+	0.466910i	0.699180	+	0.714945i	$0.253548\pi$
$138$	−16.1912	−	3.45480i	−1.37829	−	0.294092i
$139$	18.4700	−	10.6637i	1.56661	−	0.904482i	0.570048	−	0.821611i	$-0.306924\pi$
$139$	18.4700	−	10.6637i	1.56661	−	0.904482i	0.996560	−	0.0828707i	$-0.0264088\pi$
$140$	7.93474	−	1.76653i	0.670608	−	0.149299i
$141$	−7.45559	+	11.3412i	−0.627874	+	0.955105i
$142$	−7.29826	+	9.10177i	−0.612456	+	0.763804i
$143$	−5.52941			−0.462392
$144$	−11.3824	+	3.80002i	−0.948536	+	0.316668i
$145$	−8.34114			−0.692694
$146$	10.3016	−	12.8473i	0.852568	−	1.06325i
$147$	7.40376	+	14.7338i	0.610652	+	1.21523i
$148$	−4.67543	+	1.04090i	−0.384318	+	0.0855618i
$149$	−9.17047	+	5.29457i	−0.751274	+	0.433748i	−0.826154	−	0.563444i	$-0.809476\pi$
$149$	−9.17047	+	5.29457i	−0.751274	+	0.433748i	0.0748801	+	0.997193i	$0.476143\pi$
$150$	−0.755111	−	2.33019i	−0.0616546	−	0.190260i
$151$	−7.31836	+	12.6758i	−0.595559	+	1.03154i	0.397908	+	0.917425i	$0.369736\pi$
$151$	−7.31836	+	12.6758i	−0.595559	+	1.03154i	−0.993468	+	0.114114i	$0.963597\pi$
$152$	6.14526	−	12.5036i	0.498446	−	1.01417i
$153$	−12.0322	−	1.40087i	−0.972748	−	0.113254i
$154$	−3.06353	+	19.9634i	−0.246866	+	1.60870i
$155$	4.99702	+	2.88503i	0.401370	+	0.231731i
$156$	3.44767	+	4.22263i	0.276035	+	0.338081i
$157$	−1.55945	+	0.900351i	−0.124458	+	0.0718558i	−0.560937	−	0.827859i	$-0.689559\pi$
$157$	−1.55945	+	0.900351i	−0.124458	+	0.0718558i	0.436479	+	0.899715i	$0.356225\pi$
$158$	3.39795	+	8.72626i	0.270326	+	0.694224i
$159$	0.552852	−	9.52907i	0.0438440	−	0.755705i
$160$	−1.59508	−	5.42731i	−0.126102	−	0.429067i
$161$	27.4714			2.16505
$162$	−10.0306	+	7.83502i	−0.788077	+	0.615577i
$163$			5.08594i			0.398362i	0.979963	+	0.199181i	$0.0638282\pi$
$163$			5.08594i			0.398362i	−0.979963	+	0.199181i	$0.936172\pi$
$164$	−8.44361	+	7.75104i	−0.659336	+	0.605255i
$165$	6.07571	+	0.352497i	0.472993	+	0.0274419i
$166$	9.98207	−	3.88695i	0.774759	−	0.301686i
$167$	−6.89993	−	11.9510i	−0.533932	−	0.924798i	−0.999214	−	0.0396353i	$-0.987380\pi$
$167$	−6.89993	−	11.9510i	−0.533932	−	0.924798i	0.465282	−	0.885163i	$-0.345953\pi$
$168$	17.1556	−	10.1080i	1.32358	−	0.779847i
$169$	−5.26179	+	9.11368i	−0.404753	+	0.701053i
$170$	0.866157	−	5.64429i	0.0664312	−	0.432897i
$171$	1.70892	−	14.6781i	0.130685	−	1.12246i
$172$	1.02083	−	3.24777i	0.0778372	−	0.247640i
$173$	−1.55470	−	0.897608i	−0.118202	−	0.0682439i	0.439733	−	0.898128i	$-0.355073\pi$
$173$	−1.55470	−	0.897608i	−0.118202	−	0.0682439i	−0.557935	+	0.829884i	$0.688406\pi$
$174$	−19.4365	+	6.29849i	−1.47348	+	0.477487i
$175$	2.03225	+	3.51996i	0.153624	+	0.266084i
$176$	14.0035	+	1.19993i	1.05556	+	0.0904479i
$177$	17.1323	−	8.60898i	1.28774	−	0.647091i
$178$	0.354929	−	0.442637i	0.0266031	−	0.0331771i
$179$			16.0051i			1.19628i	0.801392	+	0.598140i	$0.204093\pi$
$179$			16.0051i			1.19628i	−0.801392	+	0.598140i	$0.795907\pi$
$180$	−3.51911	−	4.85961i	−0.262299	−	0.362214i
$181$		−	16.4043i		−	1.21932i	−0.792664	−	0.609659i	$-0.791306\pi$
$181$		−	16.4043i		−	1.21932i	0.792664	−	0.609659i	$-0.208694\pi$
$182$	−7.05701	−	5.65867i	−0.523101	−	0.419448i
$183$	0.150800	+	0.0991339i	0.0111474	+	0.00732819i
$184$	−1.27588	−	19.0743i	−0.0940593	−	1.40617i
$185$	−1.19748	−	2.07409i	−0.0880401	−	0.152490i
$186$	13.8225	+	2.94938i	1.01352	+	0.216259i
$187$	12.2870	+	7.09390i	0.898514	+	0.518757i
$188$	−14.9509	−	4.69931i	−1.09041	−	0.342732i
$189$	13.5646	−	16.1879i	0.986679	−	1.17749i
$190$	6.88546	+	1.05662i	0.499524	+	0.0766555i
$191$	−4.88297	+	8.45756i	−0.353320	+	0.611967i	−0.986829	−	0.161768i	$-0.948280\pi$
$191$	−4.88297	+	8.45756i	−0.353320	+	0.611967i	0.633509	+	0.773735i	$0.281614\pi$
$192$	−7.81508	−	11.4422i	−0.564005	−	0.825771i
$193$	−7.55736	−	13.0897i	−0.543991	−	0.942220i	−0.998670	−	0.0515644i	$-0.983579\pi$
$193$	−7.55736	−	13.0897i	−0.543991	−	0.942220i	0.454679	−	0.890656i	$-0.349754\pi$
$194$	−0.697678	−	1.79171i	−0.0500904	−	0.128637i
$195$	−1.49727	+	2.27760i	−0.107222	+	0.163102i
$196$	−14.0265	+	12.8760i	−1.00189	+	0.919716i
$197$		−	12.0386i		−	0.857715i	−0.903372	−	0.428857i	$-0.858916\pi$
$197$		−	12.0386i		−	0.857715i	0.903372	−	0.428857i	$-0.141084\pi$
$198$	14.4238	−	3.76645i	1.02505	−	0.267670i
$199$	−12.4246			−0.880757			−0.440379	−	0.897812i	$-0.645156\pi$
$199$	−12.4246			−0.880757			−0.440379	+	0.897812i	$0.645156\pi$
$200$	2.34964	−	1.57454i	0.166145	−	0.111337i
$201$	22.7361	−	11.4249i	1.60368	−	0.805850i
$202$	−18.0948	+	7.04600i	−1.27315	+	0.495755i
$203$	29.3605	−	16.9513i	2.06070	−	1.18975i
$204$	−2.24375	−	13.8063i	−0.157094	−	0.966637i
$205$	−4.96311	−	2.86545i	−0.346639	−	0.200132i
$206$	−2.09754	−	0.321882i	−0.146142	−	0.0224266i
$207$	−8.03951	−	18.6146i	−0.558785	−	1.29381i
$208$	−3.60125	+	5.16273i	−0.249702	+	0.357971i
$209$	−8.65383	+	14.9889i	−0.598598	+	1.03680i
$210$	7.39350	+	6.66762i	0.510200	+	0.460110i
$211$	−9.82434	+	5.67208i	−0.676335	+	0.390482i	−0.798473	−	0.602031i	$-0.794358\pi$
$211$	−9.82434	+	5.67208i	−0.676335	+	0.390482i	0.122138	+	0.992513i	$0.461025\pi$
$212$	10.7583	−	2.39516i	0.738885	−	0.164500i
$213$	−14.2645	−	0.827589i	−0.977386	−	0.0567054i
$214$	6.75571	+	5.41706i	0.461811	+	0.370303i
$215$	1.70221			0.116090
$216$	−11.8698	−	8.66653i	−0.807635	−	0.589682i
$217$	−23.4524			−1.59205
$218$	−4.78158	−	3.83411i	−0.323850	−	0.259679i
$219$	20.1346	+	1.16816i	1.36057	+	0.0789367i
$220$	1.52715	+	6.85948i	0.102960	+	0.462466i
$221$	−5.50290	+	3.17710i	−0.370165	+	0.213715i
$222$	−4.35652	−	3.92880i	−0.292390	−	0.263684i
$223$	−2.24066	+	3.88093i	−0.150045	+	0.259886i	−0.931244	−	0.364396i	$-0.881275\pi$
$223$	−2.24066	+	3.88093i	−0.150045	+	0.259886i	0.781198	+	0.624283i	$0.214609\pi$
$224$	16.6443	+	15.8623i	1.11209	+	1.05985i
$225$	1.79039	−	2.40718i	0.119359	−	0.160478i
$226$	−13.0213	−	1.99822i	−0.866166	−	0.132919i
$227$	−14.7481	−	8.51482i	−0.978865	−	0.565148i	−0.0769380	−	0.997036i	$-0.524514\pi$
$227$	−14.7481	−	8.51482i	−0.978865	−	0.565148i	−0.901927	+	0.431888i	$0.857848\pi$
$228$	16.8423	−	2.73715i	1.11541	−	0.181272i
$229$	−4.74511	+	2.73959i	−0.313566	+	0.181037i	−0.648521	−	0.761197i	$-0.724612\pi$
$229$	−4.74511	+	2.73959i	−0.313566	+	0.181037i	0.334955	+	0.942234i	$0.391279\pi$
$230$	8.90701	−	3.46833i	0.587311	−	0.228695i
$231$	−22.1026	+	11.1066i	−1.45425	+	0.730760i
$232$	−13.1335	−	19.5987i	−0.862255	−	1.28672i
$233$	−26.5013			−1.73616			−0.868080	−	0.496424i	$-0.834646\pi$
$233$	−26.5013			−1.73616			−0.868080	+	0.496424i	$0.834646\pi$
$234$	−1.76908	+	6.43786i	−0.115648	+	0.420856i
$235$		−	7.83602i		−	0.511166i
$236$	14.9720	+	16.3098i	0.974597	+	1.06168i
$237$	−6.30022	+	9.58373i	−0.409244	+	0.622530i
$238$	8.42178	+	21.6279i	0.545903	+	1.40193i
$239$	4.99462	+	8.65093i	0.323075	+	0.559582i	0.981121	−	0.193396i	$-0.0619501\pi$
$239$	4.99462	+	8.65093i	0.323075	+	0.559582i	−0.658046	+	0.752978i	$0.728617\pi$
$240$	4.28617	−	5.44323i	0.276671	−	0.351359i
$241$	13.9820	−	24.2175i	0.900658	−	1.55999i	0.0740163	−	0.997257i	$-0.476418\pi$
$241$	13.9820	−	24.2175i	0.900658	−	1.55999i	0.826642	−	0.562729i	$-0.190248\pi$
$242$	−1.88175	−	0.288768i	−0.120963	−	0.0185627i
$243$	−14.9386	−	4.45400i	−0.958312	−	0.285725i
$244$	−0.0624848	+	0.198796i	−0.00400018	+	0.0127266i
$245$	−8.24472	−	4.76009i	−0.526736	−	0.304111i
$246$	−13.7288	−	2.92937i	−0.875314	−	0.186770i
$247$	−3.87574	−	6.71298i	−0.246607	−	0.427137i
$248$	1.08923	+	16.2838i	0.0691659	+	1.03402i
$249$	10.9629	+	7.20689i	0.694747	+	0.456718i
$250$	1.10332	+	0.884696i	0.0697800	+	0.0559531i
$251$			1.02737i			0.0648471i	0.999474	+	0.0324236i	$0.0103226\pi$
$251$			1.02737i			0.0648471i	−0.999474	+	0.0324236i	$0.989677\pi$
$252$	22.2631	+	9.95394i	1.40244	+	0.627039i
$253$			23.7486i			1.49306i
$254$	−16.1613	+	20.1550i	−1.01405	+	1.26464i
$255$	6.24913	−	3.14019i	0.391335	−	0.196646i
$256$	10.2407	−	12.2934i	0.640044	−	0.768338i
$257$	2.71491	+	4.70235i	0.169351	+	0.293325i	0.938192	−	0.346115i	$-0.112499\pi$
$257$	2.71491	+	4.70235i	0.169351	+	0.293325i	−0.768841	+	0.639440i	$0.779166\pi$
$258$	3.96648	−	1.28536i	0.246942	−	0.0800229i
$259$	8.43014	+	4.86714i	0.523823	+	0.302429i
$260$	−3.00251	−	0.943737i	−0.186208	−	0.0585281i
$261$	−20.0786	−	14.9339i	−1.24283	−	0.924386i
$262$	−0.921840	+	6.00714i	−0.0569514	+	0.371123i
$263$	10.4303	−	18.0659i	0.643162	−	1.11399i	−0.341561	−	0.939860i	$-0.610956\pi$
$263$	10.4303	−	18.0659i	0.643162	−	1.11399i	0.984723	−	0.174129i	$-0.0557110\pi$
$264$	8.73822	+	14.8308i	0.537800	+	0.912771i
$265$	2.75543	+	4.77255i	0.169265	+	0.293175i
$266$	−26.3839	+	10.2737i	−1.61770	+	0.629921i
$267$	0.693710	+	0.0402473i	0.0424544	+	0.00246309i
$268$	19.8692	+	21.6446i	1.21371	+	1.32215i
$269$			18.5613i			1.13171i	0.824506	+	0.565853i	$0.191453\pi$
$269$			18.5613i			1.13171i	−0.824506	+	0.565853i	$0.808547\pi$
$270$	2.35428	−	6.96113i	0.143277	−	0.423641i
$271$	−0.939047			−0.0570430			−0.0285215	−	0.999593i	$-0.509080\pi$
$271$	−0.939047			−0.0570430			−0.0285215	+	0.999593i	$0.509080\pi$
$272$	14.6259	−	6.85201i	0.886823	−	0.415464i
$273$	0.641667	−	11.0599i	0.0388354	−	0.669375i
$274$	−3.23825	−	8.31614i	−0.195630	−	0.502397i
$275$	−3.04296	+	1.75686i	−0.183498	+	0.105942i
$276$	18.1361	−	14.8077i	1.09166	−	0.891316i
$277$	−2.62716	−	1.51679i	−0.157851	−	0.0911352i	0.418994	−	0.907989i	$-0.362383\pi$
$277$	−2.62716	−	1.51679i	−0.157851	−	0.0911352i	−0.576845	+	0.816854i	$0.695716\pi$
$278$	−4.57494	+	29.8125i	−0.274387	+	1.78803i
$279$	6.86337	+	15.8914i	0.410899	+	0.951393i
$280$	−5.07079	+	10.3174i	−0.303038	+	0.616582i
$281$	−2.39635	+	4.15061i	−0.142955	+	0.247604i	−0.928608	−	0.371062i	$-0.878994\pi$
$281$	−2.39635	+	4.15061i	−0.142955	+	0.247604i	0.785653	+	0.618667i	$0.212327\pi$
$282$	−5.91707	−	18.2594i	−0.352356	−	1.08733i
$283$	−10.3731	+	5.98890i	−0.616616	+	0.356003i	−0.775550	−	0.631286i	$-0.782527\pi$
$283$	−10.3731	+	5.98890i	−0.616616	+	0.356003i	0.158935	+	0.987289i	$0.449194\pi$
$284$	−3.58541	−	16.1046i	−0.212755	−	0.955633i
$285$	3.83071	+	7.62329i	0.226912	+	0.451565i
$286$	4.89185	−	6.10070i	0.289261	−	0.360742i
$287$	23.2933			1.37496
$288$	5.87737	−	15.9203i	0.346327	−	0.938114i
$289$	−0.695877			−0.0409340
$290$	7.37938	−	9.20294i	0.433332	−	0.540415i
$291$	1.29358	−	1.96776i	0.0758312	−	0.115352i
$292$	5.06087	+	22.7319i	0.296165	+	1.33029i
$293$	−10.3687	+	5.98639i	−0.605747	+	0.349728i	−0.771299	−	0.636473i	$-0.780393\pi$
$293$	−10.3687	+	5.98639i	−0.605747	+	0.349728i	0.165552	+	0.986201i	$0.447059\pi$
$294$	−22.8062	−	4.86626i	−1.33008	−	0.283806i
$295$	−5.53496	+	9.58683i	−0.322258	+	0.558167i
$296$	2.98789	−	6.07938i	0.173668	−	0.353357i
$297$	13.9942	+	11.7264i	0.812026	+	0.680436i
$298$	2.27148	−	14.8020i	0.131583	−	0.857459i
$299$	−9.21119	−	5.31808i	−0.532697	−	0.307553i
$300$	3.23899	+	1.22839i	0.187003	+	0.0709209i
$301$	−5.99171	+	3.45932i	−0.345357	+	0.199392i
$302$	−7.51088	−	19.2887i	−0.432203	−	1.10994i
$303$	−19.8728	−	13.0642i	−1.14166	−	0.750517i
$304$	8.35875	+	17.8421i	0.479407	+	1.02331i
$305$	−0.104192			−0.00596603
$306$	12.1905	−	12.0360i	0.696884	−	0.688055i
$307$		−	26.4097i		−	1.50728i	−0.657288	−	0.753639i	$-0.728297\pi$
$307$		−	26.4097i		−	1.50728i	0.657288	−	0.753639i	$-0.271703\pi$
$308$	−19.3157	−	21.0416i	−1.10061	−	1.19896i
$309$	−1.16696	−	2.32231i	−0.0663861	−	0.132111i
$310$	−7.60395	+	2.96093i	−0.431875	+	0.168169i
$311$	−7.21543	−	12.4975i	−0.409150	−	0.708668i	0.585645	−	0.810568i	$-0.300841\pi$
$311$	−7.21543	−	12.4975i	−0.409150	−	0.708668i	−0.994795	+	0.101900i	$0.967508\pi$
$312$	−7.70905	+	0.0681359i	−0.436439	+	0.00385743i
$313$	2.73940	−	4.74477i	0.154840	−	0.268190i	−0.778161	−	0.628065i	$-0.783847\pi$
$313$	2.73940	−	4.74477i	0.154840	−	0.268190i	0.933001	+	0.359875i	$0.117181\pi$
$314$	0.386269	−	2.51711i	0.0217984	−	0.142049i
$315$	−1.41013	+	12.1117i	−0.0794516	+	0.682417i
$316$	−12.6340	−	3.97107i	−0.710718	−	0.223390i
$317$	20.5063	+	11.8393i	1.15175	+	0.664963i	0.949313	−	0.314332i	$-0.101781\pi$
$317$	20.5063	+	11.8393i	1.15175	+	0.664963i	0.202437	+	0.979295i	$0.435114\pi$
$318$	10.0245	+	9.04031i	0.562146	+	0.506955i
$319$	14.6542	+	25.3818i	0.820477	+	1.42111i
$320$	7.39922	+	3.04164i	0.413629	+	0.170033i
$321$	−0.614270	+	10.5877i	−0.0342852	+	0.590946i
$322$	−24.3038	+	30.3097i	−1.35440	+	1.68909i
$323$			19.8894i			1.10667i
$324$	0.229492	−	17.9985i	0.0127495	−	0.999919i
$325$		−	1.57367i		−	0.0872913i
$326$	−5.61142	−	4.49952i	−0.310788	−	0.249205i
$327$	0.434771	−	7.49379i	0.0240429	−	0.414408i
$328$	−1.08184	−	16.1733i	−0.0597344	−	0.893022i
$329$	15.9248	+	27.5825i	0.877960	+	1.52067i
$330$	−5.76408	+	6.39159i	−0.317302	+	0.351846i
$331$	21.1809	+	12.2288i	1.16421	+	0.672156i	0.952309	−	0.305135i	$-0.0987017\pi$
$331$	21.1809	+	12.2288i	1.16421	+	0.672156i	0.211899	+	0.977291i	$0.432035\pi$
$332$	−4.54255	+	14.4522i	−0.249305	+	0.793166i
$333$	0.830897	−	7.13665i	0.0455329	−	0.391086i
$334$	19.2901	+	2.96021i	1.05551	+	0.161975i
$335$	−7.34539	+	12.7226i	−0.401321	+	0.695109i
$336$	−4.02514	+	27.8705i	−0.219590	+	1.52046i
$337$	5.86462	+	10.1578i	0.319466	+	0.553332i	0.980377	−	0.197133i	$-0.0631631\pi$
$337$	5.86462	+	10.1578i	0.319466	+	0.553332i	−0.660911	+	0.750465i	$0.729830\pi$
$338$	−5.40021	−	13.8683i	−0.293733	−	0.754335i
$339$	−7.24439	−	14.4167i	−0.393461	−	0.783007i
$340$	5.46117	+	5.94913i	0.296173	+	0.322637i
$341$		−	20.2743i		−	1.09792i
$342$	14.6827	+	14.8711i	0.793952	+	0.804139i
$343$	10.2433			0.553085
$344$	2.68020	+	3.99958i	0.144507	+	0.215643i
$345$	9.78223	+	6.43072i	0.526657	+	0.346218i
$346$	2.36579	−	0.921222i	0.127186	−	0.0495252i
$347$	27.1953	−	15.7012i	1.45992	−	0.842885i	0.460913	−	0.887445i	$-0.347522\pi$
$347$	27.1953	−	15.7012i	1.45992	−	0.842885i	0.999007	+	0.0445598i	$0.0141885\pi$
$348$	10.2461	−	27.0169i	0.549251	−	1.44826i
$349$	−6.16190	−	3.55758i	−0.329839	−	0.190433i	0.325931	−	0.945394i	$-0.394322\pi$
$349$	−6.16190	−	3.55758i	−0.329839	−	0.190433i	−0.655770	+	0.754961i	$0.727656\pi$
$350$	−5.68157	−	0.871877i	−0.303692	−	0.0466038i
$351$	−7.68198	+	2.80189i	−0.410034	+	0.149554i
$352$	−13.7128	+	14.3888i	−0.730894	+	0.766925i
$353$	−2.21261	+	3.83235i	−0.117765	+	0.203975i	−0.918882	−	0.394533i	$-0.870906\pi$
$353$	−2.21261	+	3.83235i	−0.117765	+	0.203975i	0.801117	+	0.598508i	$0.204240\pi$
$354$	−5.65841	+	26.5187i	−0.300741	+	1.40945i
$355$	7.14423	−	4.12473i	0.379177	−	0.218918i
$356$	0.174366	+	0.783200i	0.00924137	+	0.0415095i
$357$	−15.6150	+	23.7531i	−0.826435	+	1.25715i
$358$	−17.6588	−	14.1597i	−0.933295	−	0.748363i
$359$	9.70774			0.512355			0.256177	−	0.966630i	$-0.417537\pi$
$359$	9.70774			0.512355			0.256177	+	0.966630i	$0.417537\pi$
$360$	8.47505	+	0.416581i	0.446674	+	0.0219557i
$361$	−5.26299			−0.276999
$362$	18.0991	+	14.5128i	0.951268	+	0.762775i
$363$	−1.04691	−	2.08339i	−0.0549483	−	0.109350i
$364$	12.4866	−	2.77993i	0.654477	−	0.145708i
$365$	−10.0842	+	5.82212i	−0.527832	+	0.304744i
$366$	−0.242788	+	0.0786768i	−0.0126908	+	0.00411250i
$367$	−0.955714	+	1.65534i	−0.0498878	+	0.0864083i	−0.889891	−	0.456173i	$-0.849220\pi$
$367$	−0.955714	+	1.65534i	−0.0498878	+	0.0864083i	0.840003	+	0.542582i	$0.182553\pi$
$368$	22.1738	+	15.4672i	1.15589	+	0.806286i
$369$	−6.81680	−	15.7836i	−0.354868	−	0.821660i
$370$	3.34778	+	0.513741i	0.174043	+	0.0267081i
$371$	−19.3980	−	11.1995i	−1.00710	−	0.581447i
$372$	−15.4829	+	12.6414i	−0.802749	+	0.655424i
$373$	−30.6649	+	17.7044i	−1.58777	+	0.916699i	−0.594096	+	0.804394i	$0.702490\pi$
$373$	−30.6649	+	17.7044i	−1.58777	+	0.916699i	−0.993674	+	0.112305i	$0.964177\pi$
$374$	−18.6971	+	7.28052i	−0.966803	+	0.376467i
$375$	−0.100320	+	1.72914i	−0.00518053	+	0.0892926i
$376$	18.4118	−	12.3381i	0.949518	−	0.636291i
$377$	−13.1262			−0.676032
$378$	5.85981	+	29.2874i	0.301396	+	1.50638i
$379$		−	22.9768i		−	1.18024i	−0.807316	−	0.590119i	$-0.799081\pi$
$379$		−	22.9768i		−	1.18024i	0.807316	−	0.590119i	$-0.200919\pi$
$380$	−7.25733	+	6.66206i	−0.372293	+	0.341757i
$381$	−31.5874	−	1.83262i	−1.61827	−	0.0938880i
$382$	−5.01143	−	12.8698i	−0.256407	−	0.658479i
$383$	4.08436	+	7.07432i	0.208701	+	0.361481i	0.951306	−	0.308249i	$-0.0997431\pi$
$383$	4.08436	+	7.07432i	0.208701	+	0.361481i	−0.742605	+	0.669730i	$0.766410\pi$
$384$	19.5384	+	1.50037i	0.997065	+	0.0765655i
$385$	7.14075	−	12.3681i	0.363926	−	0.630338i
$386$	21.1281	+	3.24226i	1.07539	+	0.165027i
$387$	4.09752	+	3.04762i	0.208289	+	0.154919i
$388$	2.59406	+	0.815354i	0.131693	+	0.0413933i
$389$	7.86887	+	4.54309i	0.398967	+	0.230344i	0.686038	−	0.727565i	$-0.259348\pi$
$389$	7.86887	+	4.54309i	0.398967	+	0.230344i	−0.287071	+	0.957909i	$0.592682\pi$
$390$	−1.18829	−	3.66695i	−0.0601715	−	0.185683i
$391$	13.6456	+	23.6348i	0.690086	+	1.19526i
$392$	−1.79714	−	26.8671i	−0.0907695	−	1.35699i
$393$	−6.65086	+	3.34206i	−0.335492	+	0.168585i
$394$	13.2824	+	10.6505i	0.669158	+	0.536565i
$395$		−	6.62170i		−	0.333174i
$396$	−8.60506	+	19.2462i	−0.432420	+	0.967157i
$397$		−	23.9086i		−	1.19994i	−0.800023	−	0.599969i	$-0.795180\pi$
$397$		−	23.9086i		−	1.19994i	0.800023	−	0.599969i	$-0.204820\pi$
$398$	10.9920	−	13.7083i	0.550980	−	0.687135i
$399$	−28.9764	−	19.0487i	−1.45063	−	0.953630i
$400$	−0.341499	+	3.98540i	−0.0170749	+	0.199270i
$401$	0.673224	+	1.16606i	0.0336192	+	0.0582302i	0.882345	−	0.470602i	$-0.155963\pi$
$401$	0.673224	+	1.16606i	0.0336192	+	0.0582302i	−0.848726	+	0.528832i	$0.822630\pi$
$402$	−7.50922	+	35.1927i	−0.374526	+	1.75525i
$403$	7.86364	+	4.54007i	0.391716	+	0.226157i
$404$	8.23443	−	26.1979i	0.409678	−	1.30339i
$405$	8.61958	−	2.58899i	0.428310	−	0.128648i
$406$	−7.27245	+	47.3908i	−0.360926	+	2.35196i
$407$	−4.20758	+	7.28775i	−0.208562	+	0.361240i
$408$	17.2178	+	9.73885i	0.852410	+	0.482145i
$409$	−5.69082	−	9.85679i	−0.281393	−	0.487387i	0.690335	−	0.723490i	$-0.257463\pi$
$409$	−5.69082	−	9.85679i	−0.281393	−	0.487387i	−0.971728	+	0.236103i	$0.924130\pi$
$410$	7.55236	−	2.94084i	0.372984	−	0.145238i
$411$	6.00412	−	9.13331i	0.296162	−	0.450513i
$412$	2.21082	−	2.02948i	0.108919	−	0.0999855i
$413$		−	44.9937i		−	2.21400i
$414$	27.6504	+	7.59815i	1.35894	+	0.373429i
$415$	−7.57463			−0.371824
$416$	−2.51013	−	8.54077i	−0.123069	−	0.418746i
$417$	−33.0071	+	16.5861i	−1.61637	+	0.812225i
$418$	−8.88149	−	22.8085i	−0.434408	−	1.11560i
$419$	−3.33015	+	1.92266i	−0.162688	+	0.0939281i	−0.579134	−	0.815233i	$-0.696609\pi$
$419$	−3.33015	+	1.92266i	−0.162688	+	0.0939281i	0.416445	+	0.909161i	$0.363276\pi$
$420$	−13.8975	+	2.25857i	−0.678129	+	0.110207i
$421$	−7.34379	−	4.23994i	−0.357914	−	0.206642i	0.310251	−	0.950655i	$-0.399587\pi$
$421$	−7.34379	−	4.23994i	−0.357914	−	0.206642i	−0.668165	+	0.744013i	$0.732920\pi$
$422$	2.43344	−	15.8574i	0.118458	−	0.771929i
$423$	14.0295	−	18.8627i	0.682140	−	0.917135i
$424$	−6.87524	+	13.9889i	−0.333891	+	0.679359i
$425$	−2.01892	+	3.49687i	−0.0979319	+	0.169623i
$426$	13.5328	−	15.0061i	0.655668	−	0.727048i
$427$	0.366753	−	0.211745i	0.0177484	−	0.0102471i
$428$	−11.9535	+	2.66124i	−0.577794	+	0.128636i
$429$	9.56114	+	0.554713i	0.461616	+	0.0267818i
$430$	−1.50594	+	1.87808i	−0.0726228	+	0.0905690i
$431$	−11.4772			−0.552836			−0.276418	−	0.961038i	$-0.589147\pi$
$431$	−11.4772			−0.552836			−0.276418	+	0.961038i	$0.589147\pi$
$432$	20.0631	−	5.42889i	0.965285	−	0.261198i
$433$	38.1390			1.83284			0.916421	−	0.400217i	$-0.131065\pi$
$433$	38.1390			1.83284			0.916421	+	0.400217i	$0.131065\pi$
$434$	20.7483	−	25.8755i	0.995949	−	1.24206i
$435$	14.4230	+	0.836787i	0.691531	+	0.0401209i
$436$	8.46050	−	1.88358i	0.405185	−	0.0902073i
$437$	−28.8320	+	16.6462i	−1.37922	+	0.796295i
$438$	−19.1018	+	21.1814i	−0.912720	+	1.01209i
$439$	18.1629	−	31.4590i	0.866866	−	1.50146i	0.00168428	−	0.999999i	$-0.499464\pi$
$439$	18.1629	−	31.4590i	0.866866	−	1.50146i	0.865182	−	0.501458i	$-0.167203\pi$
$440$	−8.91926	−	4.38363i	−0.425209	−	0.208981i
$441$	−11.3241	−	26.2197i	−0.539241	−	1.24855i
$442$	1.36304	−	8.88223i	0.0648333	−	0.422484i
$443$	14.8193	+	8.55594i	0.704087	+	0.406505i	0.808868	−	0.587991i	$-0.200081\pi$
$443$	14.8193	+	8.55594i	0.704087	+	0.406505i	−0.104781	+	0.994495i	$0.533414\pi$
$444$	8.18892	−	1.33083i	0.388629	−	0.0631584i
$445$	−0.347438	+	0.200594i	−0.0164702	+	0.00950905i
$446$	−2.29960	−	5.90560i	−0.108889	−	0.279638i
$447$	16.3882	−	8.23509i	0.775135	−	0.389506i
$448$	−32.2263	+	4.33063i	−1.52255	+	0.204603i
$449$	−5.91804			−0.279290			−0.139645	−	0.990202i	$-0.544596\pi$
$449$	−5.91804			−0.279290			−0.139645	+	0.990202i	$0.544596\pi$
$450$	1.07193	+	4.10499i	0.0505312	+	0.193511i
$451$			20.1368i			0.948203i
$452$	13.7246	−	12.5989i	0.645551	−	0.592601i
$453$	13.9261	−	21.1840i	0.654306	−	0.995312i
$454$	22.4421	−	8.73882i	1.05326	−	0.410133i
$455$	3.19808	+	5.53924i	0.149928	+	0.259684i
$456$	−11.8804	+	21.0040i	−0.556351	+	0.983602i
$457$	−4.90274	+	8.49180i	−0.229341	+	0.397230i	−0.957613	−	0.288058i	$-0.906990\pi$
$457$	−4.90274	+	8.49180i	−0.229341	+	0.397230i	0.728272	+	0.685288i	$0.240324\pi$
$458$	1.17534	−	7.65908i	0.0549201	−	0.357885i
$459$	20.6649	+	3.62939i	0.964556	+	0.169405i
$460$	−4.05332	+	12.8957i	−0.188987	+	0.601264i
$461$	25.8748	+	14.9388i	1.20511	+	0.695771i	0.961687	−	0.274149i	$-0.0883963\pi$
$461$	25.8748	+	14.9388i	1.20511	+	0.695771i	0.243423	+	0.969920i	$0.421730\pi$
$462$	7.30001	−	34.2122i	0.339627	−	1.59170i
$463$	−4.12159	−	7.13881i	−0.191547	−	0.331769i	0.754216	−	0.656626i	$-0.228017\pi$
$463$	−4.12159	−	7.13881i	−0.191547	−	0.331769i	−0.945763	+	0.324857i	$0.894684\pi$
$464$	33.2428	+	2.84849i	1.54326	+	0.132238i
$465$	−8.35113	−	5.48993i	−0.387274	−	0.254590i
$466$	23.4456	−	29.2394i	1.08610	−	1.35449i
$467$			8.72010i			0.403518i	0.979435	+	0.201759i	$0.0646658\pi$
$467$			8.72010i			0.403518i	−0.979435	+	0.201759i	$0.935334\pi$
$468$	−5.53791	−	7.64741i	−0.255990	−	0.353502i
$469$		−	59.7107i		−	2.75718i
$470$	8.64563	+	6.93250i	0.398793	+	0.319772i
$471$	2.78684	−	1.40039i	0.128411	−	0.0645266i
$472$	−31.2407	+	2.08969i	−1.43797	+	0.0961859i
$473$	−2.99054	−	5.17976i	−0.137505	−	0.238166i
$474$	−5.00012	−	15.4298i	−0.229663	−	0.708716i
$475$	−4.26582	−	2.46287i	−0.195729	−	0.113004i
$476$	−31.3132	−	9.84226i	−1.43524	−	0.451119i
$477$	−1.91192	+	16.4217i	−0.0875409	+	0.751896i
$478$	−13.9634	−	2.14279i	−0.638673	−	0.0980090i
$479$	−4.42188	+	7.65891i	−0.202041	+	0.349945i	−0.949186	−	0.314716i	$-0.898091\pi$
$479$	−4.42188	+	7.65891i	−0.202041	+	0.349945i	0.747145	+	0.664661i	$0.231424\pi$
$480$	2.21366	+	9.54462i	0.101039	+	0.435650i
$481$	−1.88443	−	3.26392i	−0.0859224	−	0.148822i
$482$	14.3498	+	36.8517i	0.653616	+	1.67855i
$483$	−47.5019	−	2.75594i	−2.16141	−	0.125400i
$484$	1.98338	−	1.82069i	0.0901535	−	0.0827588i
$485$			1.35959i			0.0617357i
$486$	18.1303	−	12.5416i	0.822408	−	0.568898i
$487$	30.4515			1.37989			0.689945	−	0.723862i	$-0.257635\pi$
$487$	30.4515			1.37989			0.689945	+	0.723862i	$0.257635\pi$
$488$	−0.164055	−	0.244815i	−0.00742643	−	0.0110822i
$489$	0.510224	−	8.79433i	0.0230731	−	0.397693i
$490$	12.5460	−	4.88532i	0.566769	−	0.220696i
$491$	−5.48279	+	3.16549i	−0.247435	+	0.142856i	−0.618589	−	0.785715i	$-0.712295\pi$
$491$	−5.48279	+	3.16549i	−0.247435	+	0.142856i	0.371154	+	0.928571i	$0.378962\pi$
$492$	15.3778	−	12.5556i	0.693285	−	0.566050i
$493$	29.1679	+	16.8401i	1.31366	+	0.758439i
$494$	10.8354	+	1.66277i	0.487508	+	0.0748116i
$495$	−10.4704	−	1.21904i	−0.470610	−	0.0547916i
$496$	−18.9299	−	13.2045i	−0.849976	−	0.592898i
$497$	−16.7650	+	29.0378i	−0.752011	+	1.30252i
$498$	−17.6504	+	5.71969i	−0.790932	+	0.256305i
$499$	−37.2879	+	21.5282i	−1.66923	+	0.963733i	−0.701184	+	0.712981i	$0.747345\pi$
$499$	−37.2879	+	21.5282i	−1.66923	+	0.963733i	−0.968051	+	0.250752i	$0.919322\pi$
$500$	−1.95220	+	0.434624i	−0.0873052	+	0.0194370i
$501$	10.7320	+	21.3572i	0.479472	+	0.954171i
$502$	−1.13352	−	0.908912i	−0.0505914	−	0.0405667i
$503$	−18.1883			−0.810976			−0.405488	−	0.914100i	$-0.632898\pi$
$503$	−18.1883			−0.810976			−0.405488	+	0.914100i	$0.632898\pi$
$504$	−30.6785	+	15.7571i	−1.36653	+	0.701876i
$505$	13.7308			0.611011
$506$	−26.2023	−	21.0103i	−1.16484	−	0.934024i
$507$	10.0127	−	15.2310i	0.444678	−	0.676432i
$508$	−7.93957	−	35.6622i	−0.352261	−	1.58225i
$509$	−16.0192	+	9.24870i	−0.710039	+	0.409941i	−0.811076	−	0.584941i	$-0.801118\pi$
$509$	−16.0192	+	9.24870i	−0.710039	+	0.409941i	0.101036	+	0.994883i	$0.467784\pi$
$510$	−2.06395	+	9.67289i	−0.0913931	+	0.428323i
$511$	23.6640	−	40.9873i	1.04683	−	1.81317i
$512$	4.50362	+	22.1747i	0.199034	+	0.979993i
$513$	−4.42749	+	25.2091i	−0.195478	+	1.11301i
$514$	−7.59006	−	1.16475i	−0.334783	−	0.0513749i
$515$	1.29951	+	0.750272i	0.0572632	+	0.0330609i
$516$	−2.09097	+	5.51344i	−0.0920499	+	0.242716i
$517$	−23.8447	+	13.7668i	−1.04869	+	0.605461i
$518$	−12.8281	+	4.99519i	−0.563635	+	0.219476i
$519$	2.59826	+	1.70806i	0.114051	+	0.0749756i
$520$	3.69755	−	2.47780i	0.162148	−	0.108659i
$521$	−20.6383			−0.904181			−0.452090	−	0.891972i	$-0.649322\pi$
$521$	−20.6383			−0.904181			−0.452090	+	0.891972i	$0.649322\pi$
$522$	34.2403	−	8.94111i	1.49866	−	0.391342i
$523$		−	43.1355i		−	1.88618i	−0.332533	−	0.943091i	$-0.607903\pi$
$523$		−	43.1355i		−	1.88618i	0.332533	−	0.943091i	$-0.392097\pi$
$524$	−5.81225	−	6.33158i	−0.253909	−	0.276596i
$525$	−3.16093	−	6.29039i	−0.137954	−	0.274535i
$526$	10.7047	+	27.4908i	0.466748	+	1.19866i
$527$	−11.6493	−	20.1771i	−0.507451	−	0.878930i
$528$	−24.0937	−	3.47969i	−1.04855	−	0.151434i
$529$	−11.3410	+	19.6432i	−0.493088	+	0.854053i
$530$	−7.70336	−	1.18214i	−0.334613	−	0.0513487i
$531$	−30.4878	+	13.1674i	−1.32306	+	0.571418i
$532$	12.0065	−	38.1989i	0.520550	−	1.65613i
$533$	−7.81028	−	4.50927i	−0.338301	−	0.195318i
$534$	−0.658129	+	0.729777i	−0.0284800	+	0.0315805i
$535$	−3.06154	−	5.30274i	−0.132362	−	0.229257i
$536$	−41.4591	+	2.77321i	−1.79076	+	0.119784i
$537$	1.60564	−	27.6752i	0.0692886	−	1.19427i
$538$	−20.4791	−	16.4212i	−0.882916	−	0.707966i
$539$			33.4512i			1.44084i
$540$	5.59753	+	8.75601i	0.240879	+	0.376799i
$541$			18.1318i			0.779548i	0.920911	+	0.389774i	$0.127447\pi$
$541$			18.1318i			0.779548i	−0.920911	+	0.389774i	$0.872553\pi$
$542$	0.830771	−	1.03607i	0.0356847	−	0.0445029i
$543$	−1.64568	+	28.3653i	−0.0706230	+	1.21727i
$544$	−5.37950	+	22.1989i	−0.230644	+	0.951772i
$545$	2.16691	+	3.75320i	0.0928202	+	0.160769i
$546$	11.6349	+	10.4926i	0.497928	+	0.449042i
$547$	−15.2664	−	8.81407i	−0.652745	−	0.376862i	0.136762	−	0.990604i	$-0.456330\pi$
$547$	−15.2664	−	8.81407i	−0.652745	−	0.376862i	−0.789507	+	0.613742i	$0.789664\pi$
$548$	12.0402	+	3.78444i	0.514333	+	0.161663i
$549$	−0.250809	−	0.186545i	−0.0107043	−	0.00796155i
$550$	0.753727	−	4.91164i	0.0321390	−	0.209433i
$551$	−20.5432	+	35.5818i	−0.875169	+	1.51584i
$552$	0.292642	+	33.1102i	0.0124557	+	1.40926i
$553$	13.4570	+	23.3081i	0.572248	+	0.991162i
$554$	3.99775	−	1.55670i	0.169848	−	0.0661377i
$555$	1.86253	+	3.70653i	0.0790601	+	0.157333i
$556$	−28.8452	−	31.4226i	−1.22331	−	1.33262i
$557$		−	16.0393i		−	0.679606i	−0.940497	−	0.339803i	$-0.889640\pi$
$557$		−	16.0393i		−	0.679606i	0.940497	−	0.339803i	$-0.110360\pi$
$558$	−23.6053	−	6.48658i	−0.999291	−	0.274599i
$559$	2.67871			0.113297
$560$	−6.89726	−	14.7225i	−0.291463	−	0.622137i
$561$	−20.5343	−	13.4990i	−0.866959	−	0.569928i
$562$	−2.45940	−	6.31597i	−0.103743	−	0.266423i
$563$	31.5120	−	18.1934i	1.32807	−	0.766762i	0.343070	−	0.939310i	$-0.388533\pi$
$563$	31.5120	−	18.1934i	1.32807	−	0.766762i	0.985001	+	0.172548i	$0.0551999\pi$
$564$	25.3808	+	9.62566i	1.06872	+	0.405313i
$565$	8.06725	+	4.65763i	0.339392	+	0.195948i
$566$	2.56936	−	16.7432i	0.107998	−	0.703768i
$567$	−25.0791	+	26.6303i	−1.05322	+	1.11837i
$568$	20.9405	+	10.2918i	0.878645	+	0.431836i
$569$	17.6280	−	30.5326i	0.739003	−	1.27999i	−0.213941	−	0.976847i	$-0.568630\pi$
$569$	17.6280	−	30.5326i	0.739003	−	1.27999i	0.952945	−	0.303145i	$-0.0980366\pi$
$570$	−11.7999	−	2.51781i	−0.494245	−	0.105459i
$571$	21.0068	−	12.1283i	0.879108	−	0.507553i	0.00874397	−	0.999962i	$-0.497217\pi$
$571$	21.0068	−	12.1283i	0.879108	−	0.507553i	0.870364	+	0.492408i	$0.163883\pi$
$572$	2.40322	+	10.7945i	0.100484	+	0.451342i
$573$	9.29183	−	14.1345i	0.388172	−	0.590476i
$574$	−20.6075	+	25.6999i	−0.860140	+	1.07269i
$575$	−6.75885			−0.281863
$576$	12.3655	+	20.5693i	0.515229	+	0.857052i
$577$	3.13470			0.130499			0.0652496	−	0.997869i	$-0.479216\pi$
$577$	3.13470			0.130499			0.0652496	+	0.997869i	$0.479216\pi$
$578$	0.615640	−	0.767774i	0.0256073	−	0.0319352i
$579$	11.7546	+	23.3922i	0.488504	+	0.972146i
$580$	3.62526	+	16.2836i	0.150531	+	0.676140i
$581$	26.6624	−	15.3936i	1.10614	−	0.638632i
$582$	1.02664	+	3.16811i	0.0425556	+	0.131322i
$583$	9.68179	−	16.7694i	0.400979	−	0.694516i
$584$	−29.5579	−	14.5271i	−1.22312	−	0.601136i
$585$	2.81748	−	3.78809i	0.116488	−	0.156618i
$586$	2.56828	−	16.7361i	0.106095	−	0.691364i
$587$	4.06629	+	2.34767i	0.167834	+	0.0968989i	0.581564	−	0.813501i	$-0.302441\pi$
$587$	4.06629	+	2.34767i	0.167834	+	0.0968989i	−0.413730	+	0.910400i	$0.635774\pi$
$588$	25.5456	−	20.8573i	1.05348	−	0.860142i
$589$	24.6141	−	14.2109i	1.01420	−	0.585551i
$590$	−5.68057	−	14.5883i	−0.233865	−	0.600589i
$591$	−1.20772	+	20.8165i	−0.0496789	+	0.856275i
$592$	4.06412	+	8.67500i	0.167034	+	0.356540i
$593$	10.3048			0.423166			0.211583	−	0.977360i	$-0.432138\pi$
$593$	10.3048			0.423166			0.211583	+	0.977360i	$0.432138\pi$
$594$	−25.3186	+	5.06573i	−1.03883	+	0.207850i
$595$		−	16.4118i		−	0.672818i
$596$	14.3218	+	15.6015i	0.586644	+	0.639061i
$597$	21.4839	+	1.24644i	0.879279	+	0.0510135i
$598$	14.0167	−	5.45799i	0.573183	−	0.223194i
$599$	14.6556	+	25.3843i	0.598813	+	1.03717i	0.992997	+	0.118142i	$0.0376939\pi$
$599$	14.6556	+	25.3843i	0.598813	+	1.03717i	−0.394184	+	0.919031i	$0.628973\pi$
$600$	−4.22083	+	2.48689i	−0.172315	+	0.101527i
$601$	6.98201	−	12.0932i	0.284802	−	0.493292i	−0.687759	−	0.725939i	$-0.741405\pi$
$601$	6.98201	−	12.0932i	0.284802	−	0.493292i	0.972561	+	0.232647i	$0.0747387\pi$
$602$	1.48412	−	9.67122i	0.0604881	−	0.394169i
$603$	−40.4601	+	17.4744i	−1.64766	+	0.711612i
$604$	27.9264	+	8.77773i	1.13631	+	0.357161i
$605$	1.16582	+	0.673086i	0.0473973	+	0.0273648i
$606$	31.9954	−	10.3683i	1.29972	−	0.421182i
$607$	−11.3101	−	19.5897i	−0.459064	−	0.795122i	0.539848	−	0.841763i	$-0.318482\pi$
$607$	−11.3101	−	19.5897i	−0.459064	−	0.795122i	−0.998912	+	0.0466404i	$0.985149\pi$
$608$	−27.0804	−	6.56244i	−1.09826	−	0.266142i
$609$	−52.4691	+	26.3658i	−2.12615	+	1.06839i
$610$	0.0921786	−	0.114957i	0.00373220	−	0.00465449i
$611$		−	12.3313i		−	0.498870i
$612$	2.49471	+	24.0982i	0.100843	+	0.974113i
$613$			16.1821i			0.653591i	0.945095	+	0.326795i	$0.105969\pi$
$613$			16.1821i			0.653591i	−0.945095	+	0.326795i	$0.894031\pi$
$614$	29.1383	+	23.3645i	1.17592	+	0.942915i
$615$	8.29447	+	5.45268i	0.334465	+	0.219873i
$616$	40.3041	−	2.69595i	1.62390	−	0.108623i
$617$	−11.2956	−	19.5645i	−0.454743	−	0.787638i	0.543930	−	0.839130i	$-0.316936\pi$
$617$	−11.2956	−	19.5645i	−0.454743	−	0.787638i	−0.998673	+	0.0514923i	$0.983602\pi$
$618$	3.59465	+	0.767006i	0.144598	+	0.0308535i
$619$	−34.2122	−	19.7524i	−1.37511	−	0.793918i	−0.383541	−	0.923524i	$-0.625295\pi$
$619$	−34.2122	−	19.7524i	−1.37511	−	0.793918i	−0.991566	+	0.129606i	$0.958629\pi$
$620$	3.46034	−	11.0091i	0.138971	−	0.442136i
$621$	12.0340	+	32.9939i	0.482909	+	1.32400i
$622$	20.1722	+	3.09557i	0.808831	+	0.124121i
$623$	0.815313	−	1.41216i	0.0326648	−	0.0565772i
$624$	6.74500	−	8.56582i	0.270016	−	0.342907i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	2.81146	+	7.22011i	0.112369	+	0.288574i
$627$	16.4674	−	25.0497i	0.657645	−	1.00039i
$628$	2.43545	+	2.65306i	0.0971849	+	0.105869i
$629$			9.67042i			0.385585i
$630$	−12.1155	−	12.2710i	−0.482694	−	0.488888i
$631$	−23.3802			−0.930751			−0.465375	−	0.885113i	$-0.654081\pi$
$631$	−23.3802			−0.930751			−0.465375	+	0.885113i	$0.654081\pi$
$632$	15.5586	−	10.4261i	0.618889	−	0.414730i
$633$	17.5567	−	8.82226i	0.697817	−	0.350653i
$634$	−31.2044	+	12.1508i	−1.23929	+	0.482570i
$635$	15.8203	−	9.13383i	0.627808	−	0.362465i
$636$	−18.8430	+	3.06229i	−0.747173	+	0.121428i
$637$	−12.9744	−	7.49079i	−0.514066	−	0.296796i
$638$	−40.9687	−	6.28695i	−1.62197	−	0.248903i
$639$	24.5823	+	2.86204i	0.972461	+	0.113221i
$640$	−9.90196	+	5.47277i	−0.391409	+	0.216330i
$641$	15.8086	−	27.3813i	0.624403	−	1.08150i	−0.364254	−	0.931300i	$-0.618676\pi$
$641$	15.8086	−	27.3813i	0.624403	−	1.08150i	0.988656	−	0.150197i	$-0.0479908\pi$
$642$	−11.1381	−	10.0446i	−0.439587	−	0.396429i
$643$	17.0458	−	9.84142i	0.672222	−	0.388108i	−0.124696	−	0.992195i	$-0.539795\pi$
$643$	17.0458	−	9.84142i	0.672222	−	0.388108i	0.796918	+	0.604087i	$0.206462\pi$
$644$	−11.9397	−	53.6297i	−0.470491	−	2.11331i
$645$	−2.94336	−	0.170766i	−0.115895	−	0.00672392i
$646$	−21.9443	−	17.5960i	−0.863387	−	0.692307i
$647$	−3.77974			−0.148597			−0.0742985	−	0.997236i	$-0.523672\pi$
$647$	−3.77974			−0.148597			−0.0742985	+	0.997236i	$0.523672\pi$
$648$	19.6551	+	16.1764i	0.772125	+	0.635471i
$649$	38.8965			1.52682
$650$	1.73625	+	1.39222i	0.0681015	+	0.0546072i
$651$	40.5526	+	2.35276i	1.58938	+	0.0922118i
$652$	9.92880	−	2.21048i	0.388842	−	0.0865689i
$653$	−14.2551	+	8.23021i	−0.557847	+	0.322073i	−0.752281	−	0.658842i	$-0.771046\pi$
$653$	−14.2551	+	8.23021i	−0.557847	+	0.322073i	0.194434	+	0.980916i	$0.437713\pi$
$654$	7.88340	+	7.10942i	0.308265	+	0.278000i
$655$	2.14871	−	3.72167i	0.0839570	−	0.145418i
$656$	18.8014	+	13.1149i	0.734072	+	0.512050i
$657$	−34.6984	−	4.03982i	−1.35371	−	0.157608i
$658$	−44.5209	−	6.83205i	−1.73560	−	0.266341i
$659$	−34.5511	−	19.9481i	−1.34592	−	0.777066i	−0.358250	−	0.933626i	$-0.616626\pi$
$659$	−34.5511	−	19.9481i	−1.34592	−	0.777066i	−0.987669	+	0.156559i	$0.949960\pi$
$660$	−1.95251	−	12.0142i	−0.0760012	−	0.467653i
$661$	31.0473	−	17.9252i	1.20760	−	0.697208i	0.245366	−	0.969431i	$-0.421092\pi$
$661$	31.0473	−	17.9252i	1.20760	−	0.697208i	0.962234	+	0.272223i	$0.0877587\pi$
$662$	−32.2310	+	12.5505i	−1.25269	+	0.487790i
$663$	9.83403	−	4.94161i	0.381922	−	0.191916i
$664$	−11.9266	−	17.7977i	−0.462841	−	0.690684i
$665$	20.0207			0.776370
$666$	7.13890	+	7.23051i	0.276627	+	0.280177i
$667$			56.3765i			2.18291i
$668$	−20.3320	+	18.6643i	−0.786667	+	0.722142i
$669$	4.26375	−	6.48590i	0.164846	−	0.250759i
$670$	−7.53863	−	19.3599i	−0.291243	−	0.747939i
$671$	0.183051	+	0.317053i	0.00706660	+	0.0122397i
$672$	−27.1891	−	29.0980i	−1.04884	−	1.12248i
$673$	9.52462	−	16.4971i	0.367147	−	0.635917i	−0.621971	−	0.783040i	$-0.713668\pi$
$673$	9.52462	−	16.4971i	0.367147	−	0.635917i	0.989118	+	0.147123i	$0.0470013\pi$
$674$	−16.3957	−	2.51604i	−0.631540	−	0.0969143i
$675$	−3.33733	+	3.98274i	−0.128454	+	0.153296i
$676$	20.0787	+	6.31106i	0.772257	+	0.242733i
$677$	39.6426	+	22.8877i	1.52359	+	0.879645i	0.999610	+	0.0279134i	$0.00888625\pi$
$677$	39.6426	+	22.8877i	1.52359	+	0.879645i	0.523979	+	0.851731i	$0.324447\pi$
$678$	22.3153	+	4.76151i	0.857013	+	0.182865i
$679$	−2.76303	−	4.78570i	−0.106035	−	0.183658i
$680$	−11.3953	+	0.762231i	−0.436988	+	0.0292302i
$681$	24.6474	+	16.2029i	0.944489	+	0.620895i
$682$	22.3690	+	17.9366i	0.856555	+	0.686829i
$683$			25.4293i			0.973027i	0.873673	+	0.486513i	$0.161732\pi$
$683$			25.4293i			0.973027i	−0.873673	+	0.486513i	$0.838268\pi$
$684$	−29.3974	+	3.04329i	−1.12404	+	0.116363i
$685$			6.31049i			0.241111i
$686$	−9.06219	+	11.3016i	−0.345996	+	0.431497i
$687$	8.47982	−	4.26112i	0.323525	−	0.162572i
$688$	−6.78398	−	0.581302i	−0.258637	−	0.0221619i
$689$	4.33613	+	7.51040i	0.165193	+	0.286123i
$690$	−15.7494	+	5.10368i	−0.599571	+	0.194294i
$691$	23.2242	+	13.4085i	0.883491	+	0.510084i	0.871808	−	0.489848i	$-0.162948\pi$
$691$	23.2242	+	13.4085i	0.883491	+	0.510084i	0.0116832	+	0.999932i	$0.496281\pi$
$692$	−1.07660	+	3.42522i	−0.0409263	+	0.130207i
$693$	39.3328	−	16.9875i	1.49413	−	0.645303i
$694$	−6.73614	+	43.8959i	−0.255700	+	1.66627i
$695$	10.6637	−	18.4700i	0.404497	−	0.700609i
$696$	20.7435	+	35.2065i	0.786281	+	1.33450i
$697$	11.5702	+	20.0402i	0.438254	+	0.759078i
$698$	9.37655	−	3.65117i	0.354908	−	0.138199i
$699$	45.8246	+	2.65863i	1.73325	+	0.100558i
$700$	5.98842	−	5.49723i	0.226341	−	0.207776i
$701$		−	11.3669i		−	0.429320i	−0.976689	−	0.214660i	$-0.931136\pi$
$701$		−	11.3669i		−	0.429320i	0.976689	−	0.214660i	$-0.0688644\pi$
$702$	3.70484	−	10.9545i	0.139830	−	0.413451i
$703$	−11.7969			−0.444929
$704$	−3.74377	−	27.8593i	−0.141099	−	1.04999i
$705$	−0.786113	+	13.5496i	−0.0296067	+	0.510307i
$706$	−2.27082	−	5.83168i	−0.0854633	−	0.219478i
$707$	−48.3318	+	27.9044i	−1.81770	+	1.04945i
$708$	−24.2526	−	29.7040i	−0.911468	−	1.11635i
$709$	28.2112	+	16.2877i	1.05949	+	0.611699i	0.925292	−	0.379255i	$-0.123820\pi$
$709$	28.2112	+	16.2877i	1.05949	+	0.611699i	0.134202	+	0.990954i	$0.457153\pi$
$710$	−1.76959	+	11.5315i	−0.0664116	+	0.432769i
$711$	11.8554	−	15.9396i	0.444613	−	0.597781i
$712$	−1.01838	−	0.500513i	−0.0381654	−	0.0187575i
$713$	19.4995	−	33.7741i	0.730261	−	1.26485i
$714$	−12.3927	−	38.2427i	−0.463786	−	1.43120i
$715$	−4.78861	+	2.76470i	−0.179084	+	0.103394i
$716$	31.2453	−	6.95622i	1.16769	−	0.259966i
$717$	−7.76854	−	15.4598i	−0.290121	−	0.577355i
$718$	−8.58840	+	10.7107i	−0.320516	+	0.399721i
$719$	−23.0307			−0.858901			−0.429451	−	0.903090i	$-0.641293\pi$
$719$	−23.0307			−0.858901			−0.429451	+	0.903090i	$0.641293\pi$
$720$	−7.95747	+	8.98213i	−0.296557	+	0.334744i
$721$	−6.09897			−0.227137
$722$	4.65615	−	5.80676i	0.173284	−	0.216105i
$723$	−26.6063	+	40.4728i	−0.989501	+	1.50520i
$724$	−32.0244	+	7.12969i	−1.19018	+	0.264973i
$725$	−7.22364	+	4.17057i	−0.268279	+	0.154891i
$726$	3.22484	+	0.688098i	0.119685	+	0.0255377i
$727$	−11.3320	+	19.6276i	−0.420281	+	0.727947i	−0.995967	−	0.0897233i	$-0.971402\pi$
$727$	−11.3320	+	19.6276i	−0.420281	+	0.727947i	0.575686	+	0.817671i	$0.304735\pi$
$728$	−7.97972	+	16.2361i	−0.295748	+	0.601751i
$729$	25.3842	+	9.20026i	0.940154	+	0.340750i
$730$	2.49781	−	16.2769i	0.0924481	−	0.602435i
$731$	−5.95240	−	3.43662i	−0.220158	−	0.127108i
$732$	0.127988	−	0.337478i	0.00473059	−	0.0124735i
$733$	11.1853	−	6.45781i	0.413137	−	0.238525i	−0.279000	−	0.960291i	$-0.590003\pi$
$733$	11.1853	−	6.45781i	0.413137	−	0.238525i	0.692137	+	0.721767i	$0.256670\pi$
$734$	−0.980856	−	2.51893i	−0.0362041	−	0.0929756i
$735$	13.7788	+	9.05799i	0.508237	+	0.334109i
$736$	−36.6824	+	10.7809i	−1.35213	+	0.397390i
$737$	51.6191			1.90142
$738$	23.4451	+	6.44257i	0.863026	+	0.237154i
$739$			18.1082i			0.666122i	0.942905	+	0.333061i	$0.108082\pi$
$739$			18.1082i			0.666122i	−0.942905	+	0.333061i	$0.891918\pi$
$740$	−3.52859	+	3.23917i	−0.129714	+	0.119074i
$741$	6.02826	+	11.9965i	0.221454	+	0.440703i
$742$	29.5179	−	11.4941i	1.08364	−	0.421961i
$743$	16.2370	+	28.1233i	0.595677	+	1.03174i	0.993451	+	0.114259i	$0.0364495\pi$
$743$	16.2370	+	28.1233i	0.595677	+	1.03174i	−0.397774	+	0.917483i	$0.630217\pi$
$744$	−0.249829	−	28.2663i	−0.00915919	−	1.03629i
$745$	−5.29457	+	9.17047i	−0.193978	+	0.335980i
$746$	7.59555	−	49.4962i	0.278093	−	1.81218i
$747$	−18.2335	−	13.5616i	−0.667128	−	0.496191i
$748$	8.50851	−	27.0699i	0.311102	−	0.989773i
$749$	21.5530	+	12.4436i	0.787529	+	0.454680i
$750$	−1.81904	−	1.64045i	−0.0664221	−	0.0599008i
$751$	−8.04975	−	13.9426i	−0.293740	−	0.508772i	0.680951	−	0.732329i	$-0.261567\pi$
$751$	−8.04975	−	13.9426i	−0.293740	−	0.508772i	−0.974691	+	0.223557i	$0.928233\pi$
$752$	−2.67599	+	31.2296i	−0.0975833	+	1.13883i
$753$	0.103066	−	1.77647i	0.00375595	−	0.0647383i
$754$	11.6127	−	14.4824i	0.422909	−	0.527416i
$755$			14.6367i			0.532684i
$756$	−37.4975	−	19.4452i	−1.36377	−	0.707216i
$757$			34.5442i			1.25553i	0.778402	+	0.627766i	$0.216030\pi$
$757$			34.5442i			1.25553i	−0.778402	+	0.627766i	$0.783970\pi$
$758$	25.3507	+	20.3275i	0.920779	+	0.738327i
$759$	2.38248	−	41.0648i	0.0864784	−	1.49056i
$760$	−0.929844	−	13.9011i	−0.0337290	−	0.504244i
$761$	−13.3495	−	23.1220i	−0.483920	−	0.838173i	0.515910	−	0.856643i	$-0.327454\pi$
$761$	−13.3495	−	23.1220i	−0.483920	−	0.838173i	−0.999829	+	0.0184695i	$0.994121\pi$
$762$	29.9672	−	33.2296i	1.08560	−	1.20378i
$763$	−15.2549	−	8.80741i	−0.552264	−	0.318850i
$764$	18.6331	+	5.85670i	0.674123	+	0.211888i
$765$	−11.1207	+	4.80292i	−0.402068	+	0.173650i
$766$	−11.4186	−	1.75227i	−0.412572	−	0.0633122i
$767$	−8.71018	+	15.0865i	−0.314506	+	0.544741i
$768$	−18.9409	+	20.2297i	−0.683472	+	0.729977i
$769$	−20.0919	−	34.8003i	−0.724534	−	1.25493i	−0.959166	−	0.282845i	$-0.908722\pi$
$769$	−20.0919	−	34.8003i	−0.724534	−	1.25493i	0.234631	−	0.972084i	$-0.424612\pi$
$770$	7.32860	+	18.8206i	0.264104	+	0.678246i
$771$	−4.22272	−	8.40340i	−0.152077	−	0.302641i
$772$	−22.2692	+	20.4426i	−0.801487	+	0.735747i
$773$		−	23.2659i		−	0.836816i	−0.908259	−	0.418408i	$-0.862588\pi$
$773$		−	23.2659i		−	0.836816i	0.908259	−	0.418408i	$-0.137412\pi$
$774$	−6.98756	+	1.82465i	−0.251163	+	0.0655856i
$775$	5.77006			0.207267
$776$	−3.19455	+	2.14073i	−0.114678	+	0.0768477i
$777$	−14.0886	−	9.26170i	−0.505427	−	0.332262i
$778$	−11.9740	+	4.66261i	−0.429290	+	0.167163i
$779$	−24.4470	+	14.1145i	−0.875906	+	0.505705i
$780$	5.09709	+	1.93307i	0.182505	+	0.0692150i
$781$	−25.1028	−	14.4931i	−0.898248	−	0.518604i
$782$	−38.1489	−	5.85423i	−1.36420	−	0.209347i
$783$	33.2206	+	27.8372i	1.18721	+	0.994819i
$784$	31.2329	+	21.7864i	1.11546	+	0.778086i
$785$	−0.900351	+	1.55945i	−0.0321349	+	0.0556593i
$786$	2.19663	−	10.2947i	0.0783513	−	0.367201i
$787$	−6.46898	+	3.73487i	−0.230594	+	0.133134i	−0.610846	−	0.791749i	$-0.709171\pi$
$787$	−6.46898	+	3.73487i	−0.230594	+	0.133134i	0.380252	+	0.924883i	$0.375837\pi$
$788$	−23.5018	+	5.23227i	−0.837217	+	0.186392i
$789$	−19.8479	+	30.1921i	−0.706604	+	1.07487i
$790$	7.30584	+	5.85819i	0.259930	+	0.208425i
$791$	−37.8619			−1.34621
$792$	−13.6218	−	26.5211i	−0.484030	−	0.942388i
$793$	−0.163964			−0.00582253
$794$	26.3788	+	21.1519i	0.936149	+	0.750651i
$795$	−4.28575	−	8.52884i	−0.152000	−	0.302487i
$796$	5.40004	+	24.2554i	0.191399	+	0.859709i
$797$	4.74751	−	2.74097i	0.168165	−	0.0970903i	−0.413555	−	0.910479i	$-0.635713\pi$
$797$	4.74751	−	2.74097i	0.168165	−	0.0970903i	0.581720	+	0.813389i	$0.302380\pi$
$798$	46.6522	−	15.1179i	1.65147	−	0.535167i
$799$	−15.8203	+	27.4015i	−0.559681	+	0.969397i
$800$	−4.09504	−	3.90265i	−0.144781	−	0.137979i
$801$	−1.19549	−	0.139187i	−0.0422404	−	0.00491792i
$802$	−1.88213	−	0.288827i	−0.0664604	−	0.0101988i
$803$	35.4330	+	20.4573i	1.25040	+	0.721921i
$804$	−32.1854	−	39.4199i	−1.13509	−	1.39023i
$805$	23.7909	−	13.7357i	0.838519	−	0.484119i
$806$	−11.9661	+	4.65951i	−0.421487	+	0.164124i
$807$	1.86208	−	32.0952i	0.0655484	−	1.12981i
$808$	21.6197	+	32.2624i	0.760577	+	1.13499i
$809$	−38.1885			−1.34264			−0.671318	−	0.741169i	$-0.734272\pi$
$809$	−38.1885			−1.34264			−0.671318	+	0.741169i	$0.734272\pi$
$810$	−4.76922	+	11.8006i	−0.167573	+	0.414631i
$811$			53.8154i			1.88971i	0.327484	+	0.944857i	$0.393799\pi$
$811$			53.8154i			1.88971i	−0.327484	+	0.944857i	$0.606201\pi$
$812$	−45.8532	−	49.9503i	−1.60913	−	1.75291i
$813$	1.62375	+	0.0942056i	0.0569473	+	0.00330393i
$814$	−4.31828	−	11.0898i	−0.151355	−	0.388696i
$815$	2.54297	+	4.40456i	0.0890764	+	0.154285i
$816$	−25.9776	+	10.3808i	−0.909398	+	0.363402i
$817$	4.19233	−	7.26132i	0.146671	−	0.254042i
$818$	15.9098	+	2.44148i	0.556274	+	0.0853643i
$819$	−2.21907	+	19.0598i	−0.0775405	+	0.666002i
$820$	−3.43686	+	10.9344i	−0.120020	+	0.381846i
$821$	18.1285	+	10.4665i	0.632689	+	0.365283i	0.781793	−	0.623538i	$-0.214305\pi$
$821$	18.1285	+	10.4665i	0.632689	+	0.365283i	−0.149104	+	0.988822i	$0.547639\pi$
$822$	4.76512	+	14.7047i	0.166203	+	0.512884i
$823$	3.05306	+	5.28805i	0.106423	+	0.184330i	0.914319	−	0.404996i	$-0.132727\pi$
$823$	3.05306	+	5.28805i	0.106423	+	0.184330i	−0.807896	+	0.589325i	$0.799394\pi$
$824$	0.283261	+	4.23472i	0.00986786	+	0.147523i
$825$	5.43797	−	2.73258i	0.189326	−	0.0951364i
$826$	49.6424	+	39.8058i	1.72728	+	1.38502i
$827$		−	21.6028i		−	0.751204i	−0.926781	−	0.375602i	$-0.877436\pi$
$827$		−	21.6028i		−	0.751204i	0.926781	−	0.375602i	$-0.122564\pi$
$828$	−32.8454	+	23.7851i	−1.14146	+	0.826591i
$829$		−	37.1247i		−	1.28939i	−0.764438	−	0.644697i	$-0.776984\pi$
$829$		−	37.1247i		−	1.28939i	0.764438	−	0.644697i	$-0.223016\pi$
$830$	6.70125	−	8.35723i	0.232604	−	0.290084i
$831$	4.39057	+	2.88631i	0.152307	+	0.100125i
$832$	11.6439	+	4.78652i	0.403680	+	0.165943i
$833$	19.2205	+	33.2908i	0.665950	+	1.15346i
$834$	10.9015	−	51.0911i	0.377489	−	1.76914i
$835$	−11.9510	−	6.89993i	−0.413582	−	0.238782i
$836$	33.0225	+	10.3795i	1.14211	+	0.358983i
$837$	−10.2735	−	28.1670i	−0.355105	−	0.973595i
$838$	0.824861	−	5.37518i	0.0284943	−	0.185683i
$839$	−2.17637	+	3.76958i	−0.0751365	+	0.130140i	−0.901146	−	0.433516i	$-0.857273\pi$
$839$	−2.17637	+	3.76958i	−0.0751365	+	0.130140i	0.826009	+	0.563657i	$0.190606\pi$
$840$	9.80316	−	17.3315i	0.338241	−	0.597995i
$841$	20.2873	+	35.1387i	0.699563	+	1.21168i
$842$	11.1750	−	4.35148i	0.385117	−	0.149962i
$843$	4.56003	−	6.93659i	0.157056	−	0.238909i
$844$	15.3430	+	16.7139i	0.528127	+	0.575316i
$845$			10.5236i			0.362022i
$846$	8.39966	+	32.1668i	0.288786	+	1.10592i
$847$	−5.47152			−0.188004
$848$	−9.35167	−	19.9615i	−0.321138	−	0.685480i
$849$	18.5373	−	9.31503i	0.636200	−	0.319691i
$850$	−2.07203	−	5.32118i	−0.0710701	−	0.182515i
$851$	−14.0184	+	8.09356i	−0.480546	+	0.277443i
$852$	4.58407	+	28.2069i	0.157048	+	0.966352i
$853$	0.930623	+	0.537295i	0.0318639	+	0.0183966i	0.515847	−	0.856681i	$-0.327477\pi$
$853$	0.930623	+	0.537295i	0.0318639	+	0.0183966i	−0.483983	+	0.875077i	$0.660811\pi$
$854$	−0.0908429	+	0.591975i	−0.00310858	+	0.0202570i
$855$	−5.85908	−	13.5661i	−0.200376	−	0.463950i
$856$	7.63902	−	15.5429i	0.261096	−	0.531246i
$857$	8.20642	−	14.2139i	0.280326	−	0.485539i	−0.691139	−	0.722722i	$-0.742891\pi$
$857$	8.20642	−	14.2139i	0.280326	−	0.485539i	0.971465	+	0.237183i	$0.0762241\pi$
$858$	−9.07073	+	10.0582i	−0.309670	+	0.343382i
$859$	1.56319	−	0.902509i	0.0533354	−	0.0307932i	−0.473095	−	0.881011i	$-0.656863\pi$
$859$	1.56319	−	0.902509i	0.0533354	−	0.0307932i	0.526431	+	0.850218i	$0.323530\pi$
$860$	−0.739822	−	3.32306i	−0.0252277	−	0.113315i
$861$	−40.2774	−	2.33679i	−1.37265	−	0.0796377i
$862$	10.1538	−	12.6630i	0.345840	−	0.431303i
$863$	32.1824			1.09550			0.547750	−	0.836642i	$-0.315484\pi$
$863$	32.1824			1.09550			0.547750	+	0.836642i	$0.315484\pi$
$864$	−11.7599	+	26.9389i	−0.400081	+	0.916480i
$865$	−1.79522			−0.0610392
$866$	−33.7414	+	42.0794i	−1.14658	+	1.42992i
$867$	1.20327	+	0.0698107i	0.0408652	+	0.00237090i
$868$	10.1930	+	45.7839i	0.345973	+	1.55401i
$869$	−20.1496	+	11.6334i	−0.683528	+	0.394635i
$870$	−13.6832	+	15.1729i	−0.463906	+	0.514409i
$871$	−11.5592	+	20.0211i	−0.391668	+	0.678389i
$872$	−5.40678	+	11.0010i	−0.183097	+	0.372542i
$873$	−2.43420	+	3.27277i	−0.0823851	+	0.110766i
$874$	7.14156	−	46.5378i	0.241567	−	1.57416i
$875$	3.51996	+	2.03225i	0.118996	+	0.0687026i
$876$	−6.47049	−	39.8145i	−0.218618	−	1.34521i
$877$	25.9424	−	14.9778i	0.876012	−	0.505766i	0.00667047	−	0.999978i	$-0.497877\pi$
$877$	25.9424	−	14.9778i	0.876012	−	0.505766i	0.869341	+	0.494212i	$0.164543\pi$
$878$	18.6407	+	47.8711i	0.629093	+	1.61557i
$879$	18.5296	−	9.31112i	0.624987	−	0.314056i
$880$	12.7274	−	5.96260i	0.429040	−	0.200999i
$881$	−56.2608			−1.89548			−0.947738	−	0.319051i	$-0.896636\pi$
$881$	−56.2608			−1.89548			−0.947738	+	0.319051i	$0.896636\pi$
$882$	38.9470	+	10.7024i	1.31141	+	0.360368i
$883$			2.07117i			0.0697006i	0.999393	+	0.0348503i	$0.0110954\pi$
$883$			2.07117i			0.0697006i	−0.999393	+	0.0348503i	$0.988905\pi$
$884$	8.59405	+	9.36194i	0.289049	+	0.314876i
$885$	10.5325	−	16.0217i	0.354046	−	0.538565i
$886$	−22.5505	+	8.78102i	−0.757600	+	0.295004i
$887$	10.8197	+	18.7402i	0.363289	+	0.629235i	0.988500	−	0.151221i	$-0.0483204\pi$
$887$	10.8197	+	18.7402i	0.363289	+	0.629235i	−0.625211	+	0.780456i	$0.714987\pi$
$888$	−5.77638	+	10.2124i	−0.193842	+	0.342705i
$889$	−37.1245	+	64.3015i	−1.24511	+	2.15660i
$890$	0.0860588	−	0.560800i	0.00288470	−	0.0187981i
$891$	−23.0216	−	21.6806i	−0.771252	−	0.726327i
$892$	8.55021	+	2.68747i	0.286282	+	0.0899832i
$893$	−33.4271	−	19.2991i	−1.11859	−	0.645821i
$894$	−5.41266	+	25.3670i	−0.181026	+	0.848398i
$895$	8.00257	+	13.8609i	0.267496	+	0.463317i
$896$	23.7325	−	39.3872i	0.792846	−	1.31583i
$897$	15.3940	+	10.1198i	0.513989	+	0.337890i
$898$	5.23567	−	6.52949i	0.174717	−	0.217892i
$899$		−	48.1289i		−	1.60519i
$900$	−5.47745	−	2.44899i	−0.182582	−	0.0816331i
$901$		−	22.2520i		−	0.741321i
$902$	−22.2173	−	17.8149i	−0.739754	−	0.593172i
$903$	10.7076	−	5.38056i	0.356326	−	0.179054i
$904$	1.75846	+	26.2888i	0.0584855	+	0.874352i
$905$	−8.20213	−	14.2065i	−0.272648	−	0.472240i
$906$	11.0523	+	34.1064i	0.367190	+	1.13311i
$907$	17.8879	+	10.3276i	0.593957	+	0.342921i	0.766661	−	0.642053i	$-0.221917\pi$
$907$	17.8879	+	10.3276i	0.593957	+	0.342921i	−0.172704	+	0.984974i	$0.555250\pi$
$908$	−10.2128	+	32.4920i	−0.338923	+	1.07829i
$909$	33.0524	+	24.5835i	1.09628	+	0.815382i
$910$	−8.94089	−	1.37204i	−0.296387	−	0.0454828i
$911$	13.1963	−	22.8567i	0.437213	−	0.757276i	−0.560260	−	0.828317i	$-0.689299\pi$
$911$	13.1963	−	22.8567i	0.437213	−	0.757276i	0.997473	+	0.0710410i	$0.0226321\pi$
$912$	−12.6636	−	31.6900i	−0.419332	−	1.04936i
$913$	13.3075	+	23.0493i	0.440415	+	0.762821i
$914$	−5.03172	−	12.9220i	−0.166435	−	0.427420i
$915$	0.180163	+	0.0104526i	0.00595602	+	0.000345553i
$916$	7.41059	+	8.07274i	0.244853	+	0.266731i
$917$			17.4669i			0.576806i
$918$	−22.2866	+	19.5891i	−0.735566	+	0.646536i
$919$	−57.5741			−1.89919			−0.949597	−	0.313473i	$-0.898508\pi$
$919$	−57.5741			−1.89919			−0.949597	+	0.313473i	$0.898508\pi$
$920$	−10.6421	−	15.8809i	−0.350859	−	0.523577i
$921$	−2.64943	+	45.6661i	−0.0873016	+	1.50475i
$922$	−39.3737	+	15.3318i	−1.29670	+	0.504927i
$923$	11.2426	−	6.49094i	0.370056	−	0.213652i
$924$	31.2887	+	38.3217i	1.02932	+	1.26069i
$925$	−2.07409	−	1.19748i	−0.0681956	−	0.0393728i
$926$	11.5227	+	1.76825i	0.378661	+	0.0581082i
$927$	1.78487	+	4.13267i	0.0586227	+	0.135735i
$928$	−32.5525	+	34.1573i	−1.06859	+	1.12127i
$929$	10.4960	−	18.1796i	0.344363	−	0.596454i	−0.640875	−	0.767645i	$-0.721428\pi$
$929$	10.4960	−	18.1796i	0.344363	−	0.596454i	0.985238	+	0.171191i	$0.0547616\pi$
$930$	13.4454	−	4.35704i	0.440891	−	0.142873i
$931$	−40.6114	+	23.4470i	−1.33098	+	0.768444i
$932$	11.5181	+	51.7360i	0.377289	+	1.69467i
$933$	11.2228	+	22.3338i	0.367417	+	0.731176i
$934$	−9.62105	−	7.71464i	−0.314810	−	0.252431i
$935$	14.1878			0.463990
$936$	13.3369	+	0.655559i	0.435930	+	0.0214276i
$937$	26.8070			0.875745			0.437873	−	0.899037i	$-0.355732\pi$
$937$	26.8070			0.875745			0.437873	+	0.899037i	$0.355732\pi$
$938$	65.8799	+	52.8258i	2.15106	+	1.72482i
$939$	−5.21280	+	7.92957i	−0.170113	+	0.258772i
$940$	−15.2975	+	3.40573i	−0.498950	+	0.111083i
$941$	6.58669	−	3.80283i	0.214720	−	0.123969i	−0.388783	−	0.921329i	$-0.627104\pi$
$941$	6.58669	−	3.80283i	0.214720	−	0.123969i	0.603503	+	0.797361i	$0.293771\pi$
$942$	−0.920432	+	4.31370i	−0.0299893	+	0.140548i
$943$	−19.3672	+	33.5449i	−0.630682	+	1.09237i
$944$	25.3329	−	36.3171i	0.824516	−	1.18202i
$945$	3.65336	−	20.8014i	0.118844	−	0.676669i
$946$	8.36065	+	1.28300i	0.271828	+	0.0417140i
$947$	2.24316	+	1.29509i	0.0728930	+	0.0420848i	0.536003	−	0.844216i	$-0.319933\pi$
$947$	2.24316	+	1.29509i	0.0728930	+	0.0420848i	−0.463111	+	0.886301i	$0.653267\pi$
$948$	21.4476	+	8.13400i	0.696586	+	0.264180i
$949$	−15.8692	+	9.16207i	−0.515135	+	0.297413i
$950$	6.49129	−	2.52767i	0.210605	−	0.0820083i
$951$	−34.2706	−	22.5291i	−1.11130	−	0.730556i
$952$	38.5618	−	25.8411i	1.24980	−	0.837514i
$953$	−0.0194711			−0.000630729			−0.000315365	−	1.00000i	$-0.500100\pi$
$953$	−0.0194711			−0.000630729			−0.000315365		1.00000i	$0.500100\pi$
$954$	−16.4269	−	16.6376i	−0.531839	−	0.538664i
$955$			9.76595i			0.316019i
$956$	14.7176	−	13.5104i	0.476001	−	0.436958i
$957$	−22.7929	−	45.3589i	−0.736789	−	1.46624i
$958$	−4.53821	−	11.6546i	−0.146623	−	0.376541i
$959$	−12.8245	−	22.2127i	−0.414125	−	0.717285i
$960$	−12.4892	−	6.00172i	−0.403086	−	0.193705i
$961$	−1.14679	+	1.98630i	−0.0369933	+	0.0640743i
$962$	5.26829	+	0.808457i	0.169857	+	0.0260657i
$963$	2.12432	−	18.2460i	0.0684553	−	0.587969i
$964$	−53.3544	−	16.7702i	−1.71843	−	0.540130i
$965$	−13.0897	−	7.55736i	−0.421374	−	0.243280i
$966$	45.0654	−	49.9716i	1.44996	−	1.60781i
$967$	−21.1905	−	36.7030i	−0.681440	−	1.18029i	−0.974541	−	0.224208i	$-0.928021\pi$
$967$	−21.1905	−	36.7030i	−0.681440	−	1.18029i	0.293101	−	0.956082i	$-0.405313\pi$
$968$	0.254120	+	3.79906i	0.00816771	+	0.122106i
$969$	1.99531	−	34.3916i	0.0640986	−	1.10482i
$970$	−1.50006	−	1.20282i	−0.0481640	−	0.0386203i
$971$		−	4.88976i		−	0.156920i	−0.996917	−	0.0784599i	$-0.975000\pi$
$971$		−	4.88976i		−	0.156920i	0.996917	−	0.0784599i	$-0.0250002\pi$
$972$	−2.20245	+	31.0990i	−0.0706435	+	0.997502i
$973$			86.6851i			2.77900i
$974$	−26.9403	+	33.5977i	−0.863224	+	1.07654i
$975$	−0.157871	+	2.72109i	−0.00505591	+	0.0871447i
$976$	0.415248	+	0.0355815i	0.0132918	+	0.00113894i
$977$	−25.8880	−	44.8394i	−0.828231	−	1.43454i	−0.899425	−	0.437076i	$-0.856014\pi$
$977$	−25.8880	−	44.8394i	−0.828231	−	1.43454i	0.0711939	−	0.997462i	$-0.477319\pi$
$978$	9.25155	+	8.34325i	0.295832	+	0.266788i
$979$	1.22080	+	0.704828i	0.0390169	+	0.0225264i
$980$	−5.70931	+	18.1642i	−0.182377	+	0.580235i
$981$	−1.50356	+	12.9142i	−0.0480050	+	0.412320i
$982$	1.35806	−	8.84976i	0.0433374	−	0.282407i
$983$	4.43605	−	7.68346i	0.141488	−	0.245064i	−0.786569	−	0.617502i	$-0.788145\pi$
$983$	4.43605	−	7.68346i	0.141488	−	0.245064i	0.928057	+	0.372438i	$0.121478\pi$
$984$	0.248134	+	28.0745i	0.00791024	+	0.894983i
$985$	−6.01930	−	10.4257i	−0.191791	−	0.332191i
$986$	−44.3847	+	17.2831i	−1.41350	+	0.550406i
$987$	−24.7691	−	49.2917i	−0.788409	−	1.56897i
$988$	−11.4206	+	10.4839i	−0.363338	+	0.333536i
$989$		−	11.5050i		−	0.365837i
$990$	10.6081	−	10.4737i	0.337148	−	0.332877i
$991$	−33.9185			−1.07746			−0.538728	−	0.842480i	$-0.681095\pi$
$991$	−33.9185			−1.07746			−0.538728	+	0.842480i	$0.681095\pi$
$992$	31.3159	−	9.20373i	0.994281	−	0.292219i
$993$	−35.3980	−	23.2702i	−1.12332	−	0.738459i
$994$	−17.2060	−	44.1867i	−0.545741	−	1.40152i
$995$	−10.7600	+	6.21230i	−0.341116	+	0.196943i
$996$	9.30457	−	24.5342i	0.294827	−	0.777395i
$997$	7.15770	+	4.13250i	0.226687	+	0.130878i	0.609043	−	0.793138i	$-0.291554\pi$
$997$	7.15770	+	4.13250i	0.226687	+	0.130878i	−0.382356	+	0.924015i	$0.624887\pi$
$998$	9.23602	−	60.1863i	0.292361	−	1.90516i
$999$	−2.15269	+	12.2569i	−0.0681081	+	0.387792i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bf.b.61.13	✓	92
3.2	odd	2		1080.2.bf.b.181.34		92
4.3	odd	2		1440.2.bv.b.241.45		92
8.3	odd	2		1440.2.bv.b.241.2		92
8.5	even	2	inner	360.2.bf.b.61.17	yes	92
9.4	even	3	inner	360.2.bf.b.301.17	yes	92
9.5	odd	6		1080.2.bf.b.901.30		92
12.11	even	2		4320.2.bv.b.721.21		92
24.5	odd	2		1080.2.bf.b.181.30		92
24.11	even	2		4320.2.bv.b.721.43		92
36.23	even	6		4320.2.bv.b.3601.43		92
36.31	odd	6		1440.2.bv.b.1201.2		92
72.5	odd	6		1080.2.bf.b.901.34		92
72.13	even	6	inner	360.2.bf.b.301.13	yes	92
72.59	even	6		4320.2.bv.b.3601.21		92
72.67	odd	6		1440.2.bv.b.1201.45		92

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bf.b.61.13	✓	92	1.1	even	1	trivial
360.2.bf.b.61.17	yes	92	8.5	even	2	inner
360.2.bf.b.301.13	yes	92	72.13	even	6	inner
360.2.bf.b.301.17	yes	92	9.4	even	3	inner
1080.2.bf.b.181.30		92	24.5	odd	2
1080.2.bf.b.181.34		92	3.2	odd	2
1080.2.bf.b.901.30		92	9.5	odd	6
1080.2.bf.b.901.34		92	72.5	odd	6
1440.2.bv.b.241.2		92	8.3	odd	2
1440.2.bv.b.241.45		92	4.3	odd	2
1440.2.bv.b.1201.2		92	36.31	odd	6
1440.2.bv.b.1201.45		92	72.67	odd	6
4320.2.bv.b.721.21		92	12.11	even	2
4320.2.bv.b.721.43		92	24.11	even	2
4320.2.bv.b.3601.21		92	72.59	even	6
4320.2.bv.b.3601.43		92	36.23	even	6

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:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.884696 + 1.10332i) q^{2} +(-1.72914 - 0.100320i) q^{3} +(-0.434624 - 1.95220i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.64045 - 1.81904i) q^{6} +(-2.03225 + 3.51996i) q^{7} +(2.53841 + 1.24758i) q^{8} +(2.97987 + 0.346937i) q^{9} +O(q^{10})\)	\(q+(-0.884696 + 1.10332i) q^{2} +(-1.72914 - 0.100320i) q^{3} +(-0.434624 - 1.95220i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.64045 - 1.81904i) q^{6} +(-2.03225 + 3.51996i) q^{7} +(2.53841 + 1.24758i) q^{8} +(2.97987 + 0.346937i) q^{9} +(-0.214510 + 1.39785i) q^{10} +(-3.04296 - 1.75686i) q^{11} +(0.555682 + 3.41924i) q^{12} +(1.36283 - 0.786833i) q^{13} +(-2.08571 - 5.35632i) q^{14} +(-1.54764 + 0.777691i) q^{15} +(-3.62220 + 1.69695i) q^{16} -4.03784 q^{17} +(-3.01906 + 2.98081i) q^{18} -4.92575i q^{19} +(-1.35250 - 1.47335i) q^{20} +(3.86718 - 5.88264i) q^{21} +(4.63047 - 1.80307i) q^{22} +(-3.37942 - 5.85333i) q^{23} +(-4.26412 - 2.41190i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-0.337567 + 2.19975i) q^{26} +(-5.11782 - 0.898846i) q^{27} +(7.75495 + 2.43751i) q^{28} +(-7.22364 - 4.17057i) q^{29} +(0.511152 - 2.39556i) q^{30} +(2.88503 + 4.99702i) q^{31} +(1.33227 - 5.49773i) q^{32} +(5.08547 + 3.34313i) q^{33} +(3.57226 - 4.45502i) q^{34} +4.06450i q^{35} +(-0.617833 - 5.96811i) q^{36} -2.39495i q^{37} +(5.43467 + 4.35779i) q^{38} +(-2.43547 + 1.22383i) q^{39} +(2.82212 - 0.188772i) q^{40} +(-2.86545 - 4.96311i) q^{41} +(3.06915 + 9.47108i) q^{42} +(1.47416 + 0.851105i) q^{43} +(-2.10720 + 6.70406i) q^{44} +(2.75411 - 1.18948i) q^{45} +(9.44786 + 1.44984i) q^{46} +(3.91801 - 6.78619i) q^{47} +(6.43355 - 2.57089i) q^{48} +(-4.76009 - 8.24472i) q^{49} +(0.513154 + 1.31783i) q^{50} +(6.98200 + 0.405078i) q^{51} +(-2.12838 - 2.31855i) q^{52} +5.51086i q^{53} +(5.51943 - 4.85138i) q^{54} -3.51371 q^{55} +(-9.55013 + 6.39973i) q^{56} +(-0.494153 + 8.51732i) q^{57} +(10.9922 - 4.28029i) q^{58} +(-9.58683 + 5.53496i) q^{59} +(2.19086 + 2.68331i) q^{60} +(-0.0902332 - 0.0520962i) q^{61} +(-8.06568 - 1.23774i) q^{62} +(-7.27705 + 9.78397i) q^{63} +(4.88709 + 6.33374i) q^{64} +(0.786833 - 1.36283i) q^{65} +(-8.18763 + 2.65324i) q^{66} +(-12.7226 + 7.34539i) q^{67} +(1.75494 + 7.88268i) q^{68} +(5.25630 + 10.4603i) q^{69} +(-4.48444 - 3.59585i) q^{70} +8.24945 q^{71} +(7.13132 + 4.59829i) q^{72} -11.6442 q^{73} +(2.64239 + 2.11880i) q^{74} +(-0.951452 + 1.44732i) q^{75} +(-9.61607 + 2.14085i) q^{76} +(12.3681 - 7.14075i) q^{77} +(0.804382 - 3.76982i) q^{78} +(3.31085 - 5.73456i) q^{79} +(-2.28844 + 3.28070i) q^{80} +(8.75927 + 2.06765i) q^{81} +(8.01095 + 1.22934i) q^{82} +(-6.55982 - 3.78732i) q^{83} +(-13.1649 - 4.99278i) q^{84} +(-3.49687 + 2.01892i) q^{85} +(-2.24322 + 0.873495i) q^{86} +(12.0723 + 7.93619i) q^{87} +(-5.53249 - 8.25597i) q^{88} -0.401187 q^{89} +(-1.12418 + 4.09099i) q^{90} +6.39617i q^{91} +(-9.95812 + 9.14133i) q^{92} +(-4.48733 - 8.92999i) q^{93} +(4.02108 + 10.3265i) q^{94} +(-2.46287 - 4.26582i) q^{95} +(-2.85522 + 9.37271i) q^{96} +(-0.679794 + 1.17744i) q^{97} +(13.3078 + 2.04218i) q^{98} +(-8.45812 - 6.29092i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9}+O(q^{10}) \) 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9	\( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9} + 4 q^{10} + 22 q^{12} - 18 q^{14} - 8 q^{16} + 12 q^{17} - 16 q^{18} - 4 q^{20} - 10 q^{22} + 28 q^{23} + 24 q^{24} + 46 q^{25} - 64 q^{26} - 10 q^{30} + 8 q^{31} - 28 q^{32} - 14 q^{33} - 38 q^{36} - 6 q^{38} - 24 q^{39} + 2 q^{40} - 18 q^{41} + 22 q^{42} - 36 q^{44} + 4 q^{46} - 36 q^{47} - 76 q^{48} - 30 q^{49} - 2 q^{50} + 6 q^{52} + 42 q^{54} + 20 q^{55} - 38 q^{56} - 34 q^{57} + 18 q^{58} - 14 q^{60} + 60 q^{62} - 32 q^{63} - 48 q^{64} + 12 q^{65} + 36 q^{66} + 16 q^{68} + 8 q^{70} - 8 q^{71} + 92 q^{72} - 4 q^{73} + 52 q^{74} + 22 q^{76} + 58 q^{78} + 20 q^{79} - 16 q^{80} + 18 q^{81} - 16 q^{82} + 38 q^{84} - 60 q^{86} - 48 q^{87} - 20 q^{88} - 24 q^{89} - 24 q^{90} + 36 q^{92} - 14 q^{94} - 18 q^{95} - 38 q^{96} - 14 q^{97} - 60 q^{98}+O(q^{100}) \) 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9 + 4 * q^10 + 22 * q^12 - 18 * q^14 - 8 * q^16 + 12 * q^17 - 16 * q^18 - 4 * q^20 - 10 * q^22 + 28 * q^23 + 24 * q^24 + 46 * q^25 - 64 * q^26 - 10 * q^30 + 8 * q^31 - 28 * q^32 - 14 * q^33 - 38 * q^36 - 6 * q^38 - 24 * q^39 + 2 * q^40 - 18 * q^41 + 22 * q^42 - 36 * q^44 + 4 * q^46 - 36 * q^47 - 76 * q^48 - 30 * q^49 - 2 * q^50 + 6 * q^52 + 42 * q^54 + 20 * q^55 - 38 * q^56 - 34 * q^57 + 18 * q^58 - 14 * q^60 + 60 * q^62 - 32 * q^63 - 48 * q^64 + 12 * q^65 + 36 * q^66 + 16 * q^68 + 8 * q^70 - 8 * q^71 + 92 * q^72 - 4 * q^73 + 52 * q^74 + 22 * q^76 + 58 * q^78 + 20 * q^79 - 16 * q^80 + 18 * q^81 - 16 * q^82 + 38 * q^84 - 60 * q^86 - 48 * q^87 - 20 * q^88 - 24 * q^89 - 24 * q^90 + 36 * q^92 - 14 * q^94 - 18 * q^95 - 38 * q^96 - 14 * q^97 - 60 * q^98

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