LMFDB - Embedded newform 429.2.bj.a.73.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, 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:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.4
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.a.382.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.65467 + 0.262074i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.767143 - 0.249260i) q^{4} +(-1.95063 - 0.308949i) q^{5} +(-0.262074 + 1.65467i) q^{6} +(1.17205 - 2.30028i) q^{7} +(1.78136 - 0.907647i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(-1.65467 + 0.262074i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.767143 - 0.249260i) q^{4} +(-1.95063 - 0.308949i) q^{5} +(-0.262074 + 1.65467i) q^{6} +(1.17205 - 2.30028i) q^{7} +(1.78136 - 0.907647i) q^{8} +(-0.809017 - 0.587785i) q^{9} +3.30862 q^{10} +(0.180263 + 3.31172i) q^{11} -0.806622i q^{12} +(1.07543 - 3.44143i) q^{13} +(-1.33652 + 4.11337i) q^{14} +(-0.896605 + 1.75969i) q^{15} +(-4.01483 + 2.91695i) q^{16} +(-3.54527 + 2.57579i) q^{17} +(1.49270 + 0.760569i) q^{18} +(-0.627485 - 1.23151i) q^{19} +(-1.57342 + 0.249205i) q^{20} +(-1.82551 - 1.82551i) q^{21} +(-1.16619 - 5.43257i) q^{22} -6.84699i q^{23} +(-0.312754 - 1.97465i) q^{24} +(-1.04578 - 0.339796i) q^{25} +(-0.877568 + 5.97628i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(0.325763 - 2.05679i) q^{28} +(-9.67649 + 3.14408i) q^{29} +(1.02242 - 3.14668i) q^{30} +(0.0788426 + 0.497792i) q^{31} +(3.05139 - 3.05139i) q^{32} +(3.20534 + 0.851938i) q^{33} +(5.19122 - 5.19122i) q^{34} +(-2.99691 + 4.12489i) q^{35} +(-0.767143 - 0.249260i) q^{36} +(-2.03063 - 1.03466i) q^{37} +(1.36103 + 1.87329i) q^{38} +(-2.94067 - 2.08625i) q^{39} +(-3.75518 + 1.22013i) q^{40} +(2.23428 + 4.38503i) q^{41} +(3.49904 + 2.54220i) q^{42} -4.55116 q^{43} +(0.963767 + 2.49563i) q^{44} +(1.39650 + 1.39650i) q^{45} +(1.79442 + 11.3295i) q^{46} +(-3.99681 - 7.84417i) q^{47} +(1.53353 + 4.71972i) q^{48} +(0.196911 + 0.271024i) q^{49} +(1.81948 + 0.288177i) q^{50} +(1.35417 + 4.16772i) q^{51} +(-0.0328047 - 2.90813i) q^{52} +(-6.26737 - 4.55351i) q^{53} +(1.18461 - 1.18461i) q^{54} +(0.671527 - 6.51563i) q^{55} -5.16143i q^{56} +(-1.36514 + 0.216216i) q^{57} +(15.1874 - 7.73838i) q^{58} +(-8.98804 - 4.57964i) q^{59} +(-0.249205 + 1.57342i) q^{60} +(-7.71568 - 10.6197i) q^{61} +(-0.260917 - 0.803020i) q^{62} +(-2.30028 + 1.17205i) q^{63} +(1.58454 - 2.18093i) q^{64} +(-3.16098 + 6.38070i) q^{65} +(-5.52706 - 0.569641i) q^{66} +(11.2316 + 11.2316i) q^{67} +(-2.07769 + 2.85969i) q^{68} +(-6.51187 - 2.11584i) q^{69} +(3.87787 - 7.61075i) q^{70} +(6.52410 + 1.03332i) q^{71} +(-1.97465 - 0.312754i) q^{72} +(-2.42751 + 4.76425i) q^{73} +(3.63118 + 1.17984i) q^{74} +(-0.646330 + 0.889597i) q^{75} +(-0.788336 - 0.788336i) q^{76} +(7.82917 + 3.46685i) q^{77} +(5.41260 + 2.68139i) q^{78} +(-5.77252 + 7.94520i) q^{79} +(8.73263 - 4.44950i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-4.84621 - 6.67024i) q^{82} +(-0.827135 + 5.22233i) q^{83} +(-1.85546 - 0.945402i) q^{84} +(7.71130 - 3.92910i) q^{85} +(7.53067 - 1.19274i) q^{86} +10.1745i q^{87} +(3.32699 + 5.73575i) q^{88} +(10.4329 - 10.4329i) q^{89} +(-2.67673 - 1.94476i) q^{90} +(-6.65580 - 6.50732i) q^{91} +(-1.70668 - 5.25262i) q^{92} +(0.497792 + 0.0788426i) q^{93} +(8.66916 + 11.9321i) q^{94} +(0.843516 + 2.59607i) q^{95} +(-1.95911 - 3.84497i) q^{96} +(-1.66424 - 10.5076i) q^{97} +(-0.396851 - 0.396851i) q^{98} +(1.80075 - 2.78520i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

Coefficient data

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

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

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

$2$	−1.65467	+	0.262074i	−1.17003	+	0.185314i	−0.711056	−	0.703135i	$-0.751783\pi$
$2$	−1.65467	+	0.262074i	−1.17003	+	0.185314i	−0.458974	+	0.888450i	$0.651783\pi$
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$4$	0.767143	−	0.249260i	0.383571	−	0.124630i
$5$	−1.95063	−	0.308949i	−0.872347	−	0.138166i	−0.295820	−	0.955244i	$-0.595593\pi$
$5$	−1.95063	−	0.308949i	−0.872347	−	0.138166i	−0.576528	+	0.817078i	$0.695593\pi$
$6$	−0.262074	+	1.65467i	−0.106991	+	0.675517i
$7$	1.17205	−	2.30028i	0.442994	−	0.869424i	−0.556268	−	0.831003i	$-0.687767\pi$
$7$	1.17205	−	2.30028i	0.442994	−	0.869424i	0.999262	−	0.0384213i	$-0.0122329\pi$
$8$	1.78136	−	0.907647i	0.629805	−	0.320902i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	3.30862			1.04628
$11$	0.180263	+	3.31172i	0.0543514	+	0.998522i
$11$	0.180263	+	3.31172i	0.0543514	+	0.998522i
$12$		−	0.806622i		−	0.232852i
$13$	1.07543	−	3.44143i	0.298270	−	0.954482i
$13$	1.07543	−	3.44143i	0.298270	−	0.954482i
$14$	−1.33652	+	4.11337i	−0.357199	+	1.09935i
$15$	−0.896605	+	1.75969i	−0.231502	+	0.454349i
$16$	−4.01483	+	2.91695i	−1.00371	+	0.729236i
$17$	−3.54527	+	2.57579i	−0.859855	+	0.624721i	−0.927846	−	0.372965i	$-0.878341\pi$
$17$	−3.54527	+	2.57579i	−0.859855	+	0.624721i	0.0679903	+	0.997686i	$0.478341\pi$
$18$	1.49270	+	0.760569i	0.351833	+	0.179268i
$19$	−0.627485	−	1.23151i	−0.143955	−	0.282527i	0.807760	−	0.589512i	$-0.200680\pi$
$19$	−0.627485	−	1.23151i	−0.143955	−	0.282527i	−0.951714	+	0.306985i	$0.900680\pi$
$20$	−1.57342	+	0.249205i	−0.351827	+	0.0557239i
$21$	−1.82551	−	1.82551i	−0.398360	−	0.398360i
$22$	−1.16619	−	5.43257i	−0.248633	−	1.15823i
$23$		−	6.84699i		−	1.42770i	−0.700301	−	0.713848i	$-0.746951\pi$
$23$		−	6.84699i		−	1.42770i	0.700301	−	0.713848i	$-0.253049\pi$
$24$	−0.312754	−	1.97465i	−0.0638406	−	0.403074i
$25$	−1.04578	−	0.339796i	−0.209157	−	0.0679592i
$26$	−0.877568	+	5.97628i	−0.172105	+	1.17205i
$27$	−0.809017	+	0.587785i	−0.155695	+	0.113119i
$28$	0.325763	−	2.05679i	0.0615635	−	0.388697i
$29$	−9.67649	+	3.14408i	−1.79688	+	0.583842i	−0.999799	−	0.0200320i	$-0.993623\pi$
$29$	−9.67649	+	3.14408i	−1.79688	+	0.583842i	−0.797080	+	0.603874i	$0.793623\pi$
$30$	1.02242	−	3.14668i	0.186667	−	0.574503i
$31$	0.0788426	+	0.497792i	0.0141605	+	0.0894062i	0.993756	−	0.111571i	$-0.0355883\pi$
$31$	0.0788426	+	0.497792i	0.0141605	+	0.0894062i	−0.979596	+	0.200977i	$0.935588\pi$
$32$	3.05139	−	3.05139i	0.539414	−	0.539414i
$33$	3.20534	+	0.851938i	0.557978	+	0.148303i
$34$	5.19122	−	5.19122i	0.890286	−	0.890286i
$35$	−2.99691	+	4.12489i	−0.506570	+	0.697233i
$36$	−0.767143	−	0.249260i	−0.127857	−	0.0415433i
$37$	−2.03063	−	1.03466i	−0.333833	−	0.170097i	0.279036	−	0.960281i	$-0.409985\pi$
$37$	−2.03063	−	1.03466i	−0.333833	−	0.170097i	−0.612870	+	0.790184i	$0.709985\pi$
$38$	1.36103	+	1.87329i	0.220788	+	0.303888i
$39$	−2.94067	−	2.08625i	−0.470884	−	0.334068i
$40$	−3.75518	+	1.22013i	−0.593746	+	0.192920i
$41$	2.23428	+	4.38503i	0.348937	+	0.684827i	0.997053	−	0.0767146i	$-0.0244430\pi$
$41$	2.23428	+	4.38503i	0.348937	+	0.684827i	−0.648116	+	0.761541i	$0.724443\pi$
$42$	3.49904	+	2.54220i	0.539914	+	0.392271i
$43$	−4.55116			−0.694045			−0.347022	−	0.937857i	$-0.612807\pi$
$43$	−4.55116			−0.694045			−0.347022	+	0.937857i	$0.612807\pi$
$44$	0.963767	+	2.49563i	0.145293	+	0.376231i
$45$	1.39650	+	1.39650i	0.208177	+	0.208177i
$46$	1.79442	+	11.3295i	0.264573	+	1.67045i
$47$	−3.99681	−	7.84417i	−0.582994	−	1.14419i	−0.974578	−	0.224048i	$-0.928073\pi$
$47$	−3.99681	−	7.84417i	−0.582994	−	1.14419i	0.391584	−	0.920142i	$-0.371927\pi$
$48$	1.53353	+	4.71972i	0.221346	+	0.681233i
$49$	0.196911	+	0.271024i	0.0281301	+	0.0387177i
$50$	1.81948	+	0.288177i	0.257313	+	0.0407544i
$51$	1.35417	+	4.16772i	0.189622	+	0.583597i
$52$	−0.0328047	−	2.90813i	−0.00454920	−	0.403285i
$53$	−6.26737	−	4.55351i	−0.860889	−	0.625473i	0.0672374	−	0.997737i	$-0.478582\pi$
$53$	−6.26737	−	4.55351i	−0.860889	−	0.625473i	−0.928127	+	0.372264i	$0.878582\pi$
$54$	1.18461	−	1.18461i	0.161206	−	0.161206i
$55$	0.671527	−	6.51563i	0.0905487	−	0.878567i
$56$		−	5.16143i		−	0.689725i
$57$	−1.36514	+	0.216216i	−0.180817	+	0.0286386i
$58$	15.1874	−	7.73838i	1.99421	−	1.01610i
$59$	−8.98804	−	4.57964i	−1.17014	−	0.596218i	−0.242671	−	0.970109i	$-0.578023\pi$
$59$	−8.98804	−	4.57964i	−1.17014	−	0.596218i	−0.927473	+	0.373891i	$0.878023\pi$
$60$	−0.249205	+	1.57342i	−0.0321722	+	0.203127i
$61$	−7.71568	−	10.6197i	−0.987891	−	1.35972i	−0.932468	−	0.361252i	$-0.882349\pi$
$61$	−7.71568	−	10.6197i	−0.987891	−	1.35972i	−0.0554230	−	0.998463i	$-0.517651\pi$
$62$	−0.260917	−	0.803020i	−0.0331365	−	0.101984i
$63$	−2.30028	+	1.17205i	−0.289808	+	0.147665i
$64$	1.58454	−	2.18093i	0.198067	−	0.272616i
$65$	−3.16098	+	6.38070i	−0.392072	+	0.791429i
$66$	−5.52706	−	0.569641i	−0.680334	−	0.0701180i
$67$	11.2316	+	11.2316i	1.37216	+	1.37216i	0.857238	+	0.514920i	$0.172179\pi$
$67$	11.2316	+	11.2316i	1.37216	+	1.37216i	0.514920	+	0.857238i	$0.327821\pi$
$68$	−2.07769	+	2.85969i	−0.251957	+	0.346789i
$69$	−6.51187	−	2.11584i	−0.783937	−	0.254717i
$70$	3.87787	−	7.61075i	0.463494	−	0.909658i
$71$	6.52410	+	1.03332i	0.774269	+	0.122632i	0.531051	−	0.847340i	$-0.321797\pi$
$71$	6.52410	+	1.03332i	0.774269	+	0.122632i	0.243217	+	0.969972i	$0.421797\pi$
$72$	−1.97465	−	0.312754i	−0.232715	−	0.0368584i
$73$	−2.42751	+	4.76425i	−0.284118	+	0.557614i	−0.988321	−	0.152385i	$-0.951305\pi$
$73$	−2.42751	+	4.76425i	−0.284118	+	0.557614i	0.704203	+	0.709999i	$0.251305\pi$
$74$	3.63118	+	1.17984i	0.422116	+	0.137154i
$75$	−0.646330	+	0.889597i	−0.0746318	+	0.102722i
$76$	−0.788336	−	0.788336i	−0.0904283	−	0.0904283i
$77$	7.82917	+	3.46685i	0.892217	+	0.395085i
$78$	5.41260	+	2.68139i	0.612856	+	0.303608i
$79$	−5.77252	+	7.94520i	−0.649460	+	0.893905i	−0.999076	−	0.0429886i	$-0.986312\pi$
$79$	−5.77252	+	7.94520i	−0.649460	+	0.893905i	0.349616	+	0.936893i	$0.386312\pi$
$80$	8.73263	−	4.44950i	0.976338	−	0.497469i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	−4.84621	−	6.67024i	−0.535174	−	0.736604i
$83$	−0.827135	+	5.22233i	−0.0907899	+	0.573225i	0.899794	+	0.436316i	$0.143717\pi$
$83$	−0.827135	+	5.22233i	−0.0907899	+	0.573225i	−0.990584	+	0.136909i	$0.956283\pi$
$84$	−1.85546	−	0.945402i	−0.202447	−	0.103152i
$85$	7.71130	−	3.92910i	0.836408	−	0.426171i
$86$	7.53067	−	1.19274i	0.812053	−	0.128617i
$87$			10.1745i			1.09082i
$88$	3.32699	+	5.73575i	0.354658	+	0.611432i
$89$	10.4329	−	10.4329i	1.10589	−	1.10589i	0.112204	−	0.993685i	$-0.464209\pi$
$89$	10.4329	−	10.4329i	1.10589	−	1.10589i	0.993685	−	0.112204i	$-0.0357911\pi$
$90$	−2.67673	−	1.94476i	−0.282152	−	0.204995i
$91$	−6.65580	−	6.50732i	−0.697718	−	0.682152i
$92$	−1.70668	−	5.25262i	−0.177934	−	0.547623i
$93$	0.497792	+	0.0788426i	0.0516187	+	0.00817559i
$94$	8.66916	+	11.9321i	0.894156	+	1.23070i
$95$	0.843516	+	2.59607i	0.0865429	+	0.266352i
$96$	−1.95911	−	3.84497i	−0.199951	−	0.392426i
$97$	−1.66424	−	10.5076i	−0.168978	−	1.06689i	−0.915733	−	0.401787i	$-0.868389\pi$
$97$	−1.66424	−	10.5076i	−0.168978	−	1.06689i	0.746755	−	0.665099i	$-0.231611\pi$
$98$	−0.396851	−	0.396851i	−0.0400880	−	0.0400880i
$99$	1.80075	−	2.78520i	0.180982	−	0.279923i
$100$	−0.886963			−0.0886963
$101$	12.4503	+	9.04566i	1.23885	+	0.900077i	0.997521	−	0.0703669i	$-0.0224170\pi$
$101$	12.4503	+	9.04566i	1.23885	+	0.900077i	0.241328	+	0.970444i	$0.422417\pi$
$102$	−3.33297	−	6.54131i	−0.330013	−	0.647687i
$103$	6.12371	−	1.98971i	0.603387	−	0.196052i	0.00863654	−	0.999963i	$-0.497251\pi$
$103$	6.12371	−	1.98971i	0.603387	−	0.196052i	0.594750	+	0.803910i	$0.297251\pi$
$104$	−1.20789	−	7.10653i	−0.118443	−	0.696852i
$105$	2.99691	+	4.12489i	0.292468	+	0.402548i
$106$	11.5638	+	5.89205i	1.12318	+	0.572286i
$107$	2.07655	+	0.674711i	0.200748	+	0.0652268i	0.407665	−	0.913132i	$-0.366343\pi$
$107$	2.07655	+	0.674711i	0.200748	+	0.0652268i	−0.206917	+	0.978358i	$0.566343\pi$
$108$	−0.474120	+	0.652571i	−0.0456222	+	0.0627936i
$109$	2.17649	−	2.17649i	0.208470	−	0.208470i	−0.595147	−	0.803617i	$-0.702906\pi$
$109$	2.17649	−	2.17649i	0.208470	−	0.208470i	0.803617	+	0.595147i	$0.202906\pi$
$110$	0.596421	+	10.9572i	0.0568665	+	1.04473i
$111$	−1.61152	+	1.61152i	−0.152958	+	0.152958i
$112$	2.00420	+	12.6541i	0.189380	+	1.19570i
$113$	2.43274	−	7.48719i	0.228853	−	0.704336i	−0.769025	−	0.639219i	$-0.779258\pi$
$113$	2.43274	−	7.48719i	0.228853	−	0.704336i	0.997878	−	0.0651171i	$-0.0207421\pi$
$114$	2.20219	−	0.715534i	0.206254	−	0.0670159i
$115$	−2.11537	+	13.3559i	−0.197259	+	1.24545i
$116$	−6.63956	+	4.82392i	−0.616467	+	0.447890i
$117$	−2.89286	+	2.15206i	−0.267445	+	0.198958i
$118$	16.0725	+	5.22226i	1.47959	+	0.480748i
$119$	1.76980	+	11.1741i	0.162237	+	1.02433i
$120$			3.94843i			0.360441i
$121$	−10.9350	+	1.19396i	−0.994092	+	0.108542i
$122$	15.5501	+	15.5501i	1.40784	+	1.40784i
$123$	4.86084	−	0.769882i	0.438287	−	0.0694179i
$124$	0.184563	+	0.362226i	0.0165743	+	0.0325288i
$125$	10.7334	+	5.46893i	0.960023	+	0.489156i
$126$	3.49904	−	2.54220i	0.311720	−	0.226478i
$127$	−5.18022	+	3.76365i	−0.459670	+	0.333970i	−0.793402	−	0.608698i	$-0.791692\pi$
$127$	−5.18022	+	3.76365i	−0.459670	+	0.333970i	0.333732	+	0.942668i	$0.391692\pi$
$128$	−5.96855	+	11.7139i	−0.527550	+	1.03538i
$129$	−1.40638	+	4.32841i	−0.123825	+	0.381095i
$130$	3.55817	−	11.3864i	0.312073	−	0.998651i
$131$		−	6.85218i		−	0.598678i	−0.954147	−	0.299339i	$-0.903234\pi$
$131$		−	6.85218i		−	0.598678i	0.954147	−	0.299339i	$-0.0967661\pi$
$132$	2.67131	−	0.145404i	0.232507	−	0.0126558i
$133$	−3.56826			−0.309407
$134$	−21.5281	−	15.6411i	−1.85975	−	1.35119i
$135$	1.75969	−	0.896605i	0.151450	−	0.0771675i
$136$	−3.97749	+	7.80626i	−0.341067	+	0.669381i
$137$	0.925022	−	5.84036i	0.0790299	−	0.498975i	−0.916144	−	0.400849i	$-0.868715\pi$
$137$	0.925022	−	5.84036i	0.0790299	−	0.498975i	0.995174	−	0.0981262i	$-0.0312849\pi$
$138$	11.3295	+	1.79442i	0.964432	+	0.152751i
$139$	4.65621	−	1.51290i	0.394935	−	0.128322i	−0.104815	−	0.994492i	$-0.533425\pi$
$139$	4.65621	−	1.51290i	0.394935	−	0.128322i	0.499750	+	0.866170i	$0.333425\pi$
$140$	−1.27089	+	3.91138i	−0.107409	+	0.330572i
$141$	−8.69533	+	1.37721i	−0.732279	+	0.115982i
$142$	−11.0661			−0.928643
$143$	11.5909	+	2.94115i	0.969282	+	0.245952i
$144$	4.96260			0.413550
$145$	19.8466	−	3.14339i	1.64817	−	0.261044i
$146$	2.76814	−	8.51947i	0.229093	−	0.705076i
$147$	0.318608	−	0.103522i	0.0262783	−	0.00853835i
$148$	−1.81568	−	0.287576i	−0.149248	−	0.0236386i
$149$	0.357806	−	2.25910i	0.0293126	−	0.185072i	−0.968688	−	0.248283i	$-0.920134\pi$
$149$	0.357806	−	2.25910i	0.0293126	−	0.185072i	0.998000	+	0.0632102i	$0.0201338\pi$
$150$	0.836323	−	1.64138i	0.0682855	−	0.134018i
$151$	3.05306	−	1.55561i	0.248454	−	0.126594i	−0.325329	−	0.945601i	$-0.605475\pi$
$151$	3.05306	−	1.55561i	0.248454	−	0.126594i	0.573783	+	0.819007i	$0.305475\pi$
$152$	−2.23555	−	1.62422i	−0.181327	−	0.131742i
$153$	4.38220			0.354280
$154$	−13.8633	−	3.68468i	−1.11713	−	0.296920i
$155$		−	0.995366i		−	0.0799497i
$156$	−2.77593	−	0.867463i	−0.222253	−	0.0694526i
$157$	−1.61161	+	4.96002i	−0.128620	+	0.395853i	−0.994543	−	0.104325i	$-0.966732\pi$
$157$	−1.61161	+	4.96002i	−0.128620	+	0.395853i	0.865923	+	0.500177i	$0.166732\pi$
$158$	7.46940	−	14.6595i	0.594234	−	1.16625i
$159$	−6.26737	+	4.55351i	−0.497035	+	0.361117i
$160$	−6.89484	+	5.00940i	−0.545085	+	0.396027i
$161$	−15.7500	−	8.02502i	−1.24127	−	0.632460i
$162$	−0.760569	−	1.49270i	−0.0597560	−	0.117278i
$163$	16.1580	−	2.55917i	1.26559	−	0.200450i	0.512684	−	0.858577i	$-0.328651\pi$
$163$	16.1580	−	2.55917i	1.26559	−	0.200450i	0.752907	+	0.658127i	$0.228651\pi$
$164$	2.80703	+	2.80703i	0.219192	+	0.219192i
$165$	−5.98922	−	2.65210i	−0.466260	−	0.206466i
$166$		−	8.85801i		−	0.687515i
$167$	−0.517401	−	3.26674i	−0.0400377	−	0.252788i	0.959549	−	0.281542i	$-0.0908460\pi$
$167$	−0.517401	−	3.26674i	−0.0400377	−	0.252788i	−0.999587	+	0.0287542i	$0.990846\pi$
$168$	−4.90881	−	1.59497i	−0.378723	−	0.123055i
$169$	−10.6869	−	7.40202i	−0.822070	−	0.569386i
$170$	−11.7300	+	8.52231i	−0.899646	+	0.653631i
$171$	−0.216216	+	1.36514i	−0.0165345	+	0.104395i
$172$	−3.49139	+	1.13442i	−0.266216	+	0.0864987i
$173$	3.74648	−	11.5305i	0.284840	−	0.876647i	−0.701607	−	0.712564i	$-0.747534\pi$
$173$	3.74648	−	11.5305i	0.284840	−	0.876647i	0.986447	−	0.164082i	$-0.0524663\pi$
$174$	−2.66647	−	16.8354i	−0.202144	−	1.27629i
$175$	−2.00734	+	2.00734i	−0.151740	+	0.151740i
$176$	−10.3838	−	12.7702i	−0.782711	−	0.962589i
$177$	−7.13295	+	7.13295i	−0.536145	+	0.536145i
$178$	−14.5289	+	19.9973i	−1.08899	+	1.49886i
$179$	−16.7292	−	5.43564i	−1.25040	−	0.406278i	−0.392334	−	0.919823i	$-0.628332\pi$
$179$	−16.7292	−	5.43564i	−1.25040	−	0.406278i	−0.858063	+	0.513545i	$0.828332\pi$
$180$	1.41940	+	0.723221i	0.105796	+	0.0539057i
$181$	−0.711193	−	0.978873i	−0.0528625	−	0.0727591i	0.781767	−	0.623570i	$-0.214318\pi$
$181$	−0.711193	−	0.978873i	−0.0528625	−	0.0727591i	−0.834630	+	0.550811i	$0.814318\pi$
$182$	12.7186	+	9.02316i	0.942763	+	0.668841i
$183$	−12.4842	+	4.05637i	−0.922861	+	0.299856i
$184$	−6.21465	−	12.1969i	−0.458150	−	0.899169i
$185$	3.64135	+	2.64559i	0.267717	+	0.194508i
$186$	−0.844346			−0.0619104
$187$	−9.16939	−	11.2766i	−0.670532	−	0.824630i
$188$	−5.02136	−	5.02136i	−0.366220	−	0.366220i
$189$	0.403861	+	2.54988i	0.0293766	+	0.185477i
$190$	−2.07611	−	4.07459i	−0.150617	−	0.295602i
$191$	−7.73901	−	23.8182i	−0.559975	−	1.72343i	−0.682428	−	0.730952i	$-0.739076\pi$
$191$	−7.73901	−	23.8182i	−0.559975	−	1.72343i	0.122453	−	0.992474i	$-0.460924\pi$
$192$	−1.58454	−	2.18093i	−0.114354	−	0.157395i
$193$	−2.46271	−	0.390055i	−0.177270	−	0.0280768i	0.0671683	−	0.997742i	$-0.478604\pi$
$193$	−2.46271	−	0.390055i	−0.177270	−	0.0280768i	−0.244438	+	0.969665i	$0.578604\pi$
$194$	5.50755	+	16.9505i	0.395419	+	1.21697i
$195$	5.09161	+	4.97802i	0.364618	+	0.356483i
$196$	0.218614	+	0.158832i	0.0156153	+	0.0113452i
$197$	13.9438	−	13.9438i	0.993455	−	0.993455i	−0.00652350	−	0.999979i	$-0.502077\pi$
$197$	13.9438	−	13.9438i	0.993455	−	0.993455i	0.999979	+	0.00652350i	$0.00207651\pi$
$198$	−2.24971	+	5.08051i	−0.159880	+	0.361056i
$199$		−	7.75617i		−	0.549820i	−0.961470	−	0.274910i	$-0.911352\pi$
$199$		−	7.75617i		−	0.549820i	0.961470	−	0.274910i	$-0.0886481\pi$
$200$	−2.17133	+	0.343905i	−0.153536	+	0.0243177i
$201$	14.1526	−	7.21113i	0.998250	−	0.508634i
$202$	−22.9718	−	11.7047i	−1.61629	−	0.823540i
$203$	−4.10907	+	25.9437i	−0.288400	+	1.82089i
$204$	2.07769	+	2.85969i	0.145467	+	0.200219i
$205$	−3.00351	−	9.24384i	−0.209774	−	0.645618i
$206$	−9.61128	+	4.89719i	−0.669649	+	0.341203i
$207$	−4.02456	+	5.53933i	−0.279726	+	0.385010i
$208$	5.72081	+	16.9537i	0.396667	+	1.17553i
$209$	3.96530	−	2.30005i	0.274286	−	0.159098i
$210$	−6.03992	−	6.03992i	−0.416794	−	0.416794i
$211$	−6.39672	+	8.80433i	−0.440368	+	0.606115i	−0.970294	−	0.241929i	$-0.922220\pi$
$211$	−6.39672	+	8.80433i	−0.440368	+	0.606115i	0.529926	+	0.848044i	$0.322220\pi$
$212$	−5.94297	−	1.93099i	−0.408165	−	0.132621i
$213$	2.99880	−	5.88548i	0.205474	−	0.403266i
$214$	−3.61283	−	0.572216i	−0.246968	−	0.0391159i
$215$	8.87761	+	1.40608i	0.605448	+	0.0958935i
$216$	−0.907647	+	1.78136i	−0.0617575	+	0.121206i
$217$	1.23747	+	0.402078i	0.0840049	+	0.0272949i
$218$	−3.03097	+	4.17178i	−0.205284	+	0.282549i
$219$	3.78093	+	3.78093i	0.255492	+	0.255492i
$220$	−1.10893	−	5.16580i	−0.0747638	−	0.348278i
$221$	5.05173	+	14.9709i	0.339816	+	1.00705i
$222$	2.24419	−	3.08887i	0.150620	−	0.207311i
$223$	−23.8149	+	12.1343i	−1.59476	+	0.812572i	−0.594800	+	0.803874i	$0.702769\pi$
$223$	−23.8149	+	12.1343i	−1.59476	+	0.812572i	−0.999962	+	0.00869828i	$0.997231\pi$
$224$	−3.44266	−	10.5954i	−0.230023	−	0.707937i
$225$	0.646330	+	0.889597i	0.0430887	+	0.0593065i
$226$	−2.06318	+	13.0264i	−0.137241	+	0.866503i
$227$	−22.7589	−	11.5963i	−1.51056	−	0.769670i	−0.514431	−	0.857532i	$-0.671997\pi$
$227$	−22.7589	−	11.5963i	−1.51056	−	0.769670i	−0.996133	+	0.0878616i	$0.971997\pi$
$228$	−0.993361	+	0.506143i	−0.0657869	+	0.0335201i
$229$	4.04146	−	0.640104i	0.267067	−	0.0422992i	−0.0214647	−	0.999770i	$-0.506833\pi$
$229$	4.04146	−	0.640104i	0.267067	−	0.0422992i	0.288532	+	0.957470i	$0.406833\pi$
$230$		−	22.6540i		−	1.49376i
$231$	5.71652	−	6.37466i	0.376119	−	0.419422i
$232$	−14.3836	+	14.3836i	−0.944328	+	0.944328i
$233$	9.46398	+	6.87598i	0.620006	+	0.450461i	0.852924	−	0.522036i	$-0.174827\pi$
$233$	9.46398	+	6.87598i	0.620006	+	0.450461i	−0.232918	+	0.972496i	$0.574827\pi$
$234$	4.22274	−	4.31909i	0.276049	−	0.282348i
$235$	5.37283	+	16.5359i	0.350485	+	1.07868i
$236$	−8.03663	−	1.27288i	−0.523140	−	0.0828572i
$237$	5.77252	+	7.94520i	0.374966	+	0.516096i
$238$	−5.85688	−	18.0256i	−0.379645	−	1.16843i
$239$	−13.0540	−	25.6200i	−0.844396	−	1.65722i	−0.749762	−	0.661708i	$-0.769832\pi$
$239$	−13.0540	−	25.6200i	−0.844396	−	1.65722i	−0.0946336	−	0.995512i	$-0.530168\pi$
$240$	−1.53319	−	9.68019i	−0.0989671	−	0.624854i
$241$	9.04408	+	9.04408i	0.582580	+	0.582580i	0.935612	−	0.353031i	$-0.114849\pi$
$241$	9.04408	+	9.04408i	0.582580	+	0.582580i	−0.353031	+	0.935612i	$0.614849\pi$
$242$	17.7809	−	4.84140i	1.14300	−	0.311217i
$243$	1.00000			0.0641500
$244$	−8.56609	−	6.22363i	−0.548388	−	0.398427i
$245$	−0.300367	−	0.589503i	−0.0191897	−	0.0376619i
$246$	−7.84133	+	2.54780i	−0.499945	+	0.162442i
$247$	−4.91296	+	0.835049i	−0.312604	+	0.0531329i
$248$	0.592266	+	0.815185i	0.0376090	+	0.0517643i
$249$	4.71113	+	2.40044i	0.298556	+	0.152122i
$250$	−19.1935	−	6.23635i	−1.21390	−	0.394421i
$251$	−4.46088	+	6.13987i	−0.281568	+	0.387545i	−0.926252	−	0.376904i	$-0.876989\pi$
$251$	−4.46088	+	6.13987i	−0.281568	+	0.387545i	0.644684	+	0.764449i	$0.276989\pi$
$252$	−1.47250	+	1.47250i	−0.0927587	+	0.0927587i
$253$	22.6753	−	1.23426i	1.42559	−	0.0775972i
$254$	7.58521	−	7.58521i	0.475938	−	0.475938i
$255$	−1.35388	−	8.54804i	−0.0847830	−	0.535299i
$256$	5.13998	−	15.8192i	0.321249	−	0.988703i
$257$	19.9915	−	6.49564i	1.24704	−	0.405187i	0.390179	−	0.920739i	$-0.372413\pi$
$257$	19.9915	−	6.49564i	1.24704	−	0.405187i	0.856858	+	0.515552i	$0.172413\pi$
$258$	1.19274	−	7.53067i	0.0742568	−	0.468839i
$259$	−4.76001	+	3.45835i	−0.295772	+	0.214891i
$260$	−0.834474	+	5.68281i	−0.0517519	+	0.352433i
$261$	9.67649	+	3.14408i	0.598960	+	0.194614i
$262$	1.79578	+	11.3381i	0.110944	+	0.700471i
$263$			22.4497i			1.38431i	0.721749	+	0.692154i	$0.243338\pi$
$263$			22.4497i			1.38431i	−0.721749	+	0.692154i	$0.756662\pi$
$264$	6.48311	−	1.39171i	0.399008	−	0.0856538i
$265$	10.8185	+	10.8185i	0.664575	+	0.664575i
$266$	5.90430	−	0.935149i	0.362016	−	0.0573376i
$267$	−6.69836	−	13.1463i	−0.409933	−	0.804539i
$268$	11.4158	+	5.81665i	0.697333	+	0.355309i
$269$	5.86112	−	4.25835i	0.357359	−	0.259636i	−0.394591	−	0.918857i	$-0.629114\pi$
$269$	5.86112	−	4.25835i	0.357359	−	0.259636i	0.751950	+	0.659221i	$0.229114\pi$
$270$	−2.67673	+	1.94476i	−0.162900	+	0.118354i
$271$	9.76145	−	19.1579i	0.592966	−	1.16376i	−0.378282	−	0.925690i	$-0.623485\pi$
$271$	9.76145	−	19.1579i	0.592966	−	1.16376i	0.971248	−	0.238071i	$-0.0765150\pi$
$272$	6.72023	−	20.6827i	0.407474	−	1.25408i
$273$	−8.24559	+	4.31917i	−0.499046	+	0.261408i
$274$			9.90630i			0.598461i
$275$	0.936793	−	3.52460i	0.0564907	−	0.212541i
$276$	−5.52293			−0.332441
$277$	3.29972	+	2.39739i	0.198261	+	0.144045i	0.682487	−	0.730898i	$-0.260899\pi$
$277$	3.29972	+	2.39739i	0.198261	+	0.144045i	−0.484225	+	0.874943i	$0.660899\pi$
$278$	−7.30801	+	3.72362i	−0.438306	+	0.223328i
$279$	0.228810	−	0.449065i	0.0136985	−	0.0268848i
$280$	−1.59462	+	10.0680i	−0.0952967	+	0.601680i
$281$	9.57460	+	1.51647i	0.571173	+	0.0904649i	0.435339	−	0.900267i	$-0.356629\pi$
$281$	9.57460	+	1.51647i	0.571173	+	0.0904649i	0.135834	+	0.990732i	$0.456629\pi$
$282$	14.0270	−	4.55765i	0.835295	−	0.271404i
$283$	−7.23640	+	22.2713i	−0.430159	+	1.32389i	0.467807	+	0.883830i	$0.345044\pi$
$283$	−7.23640	+	22.2713i	−0.430159	+	1.32389i	−0.897967	+	0.440064i	$0.854956\pi$
$284$	5.26248	−	0.833495i	0.312271	−	0.0494589i
$285$	2.72967			0.161692
$286$	−19.9500	−	1.82896i	−1.17967	−	0.108149i
$287$	12.7055			0.749982
$288$	−4.26218	+	0.675063i	−0.251152	+	0.0397785i
$289$	0.680972	−	2.09582i	0.0400572	−	0.123283i
$290$	−32.0158	+	10.4026i	−1.88003	+	0.610860i
$291$	−10.5076	−	1.66424i	−0.615967	−	0.0975595i
$292$	−0.674709	+	4.25994i	−0.0394843	+	0.249294i
$293$	−4.87531	+	9.56834i	−0.284819	+	0.558988i	−0.988445	−	0.151582i	$-0.951563\pi$
$293$	−4.87531	+	9.56834i	−0.284819	+	0.558988i	0.703626	+	0.710571i	$0.251563\pi$
$294$	−0.500061	+	0.254794i	−0.0291642	+	0.0148599i
$295$	16.1174	+	11.7100i	0.938394	+	0.681783i
$296$	−4.55638			−0.264834
$297$	−2.09242	−	2.57328i	−0.121414	−	0.149317i
$298$			3.83184i			0.221972i
$299$	−23.5634	−	7.36343i	−1.36271	−	0.425838i
$300$	−0.274087	+	0.843552i	−0.0158244	+	0.0487025i
$301$	−5.33419	+	10.4689i	−0.307458	+	0.603419i
$302$	−4.64412	+	3.37415i	−0.267239	+	0.194161i
$303$	12.4503	−	9.04566i	0.715250	−	0.519660i
$304$	6.11149	+	3.11396i	0.350518	+	0.178598i
$305$	11.7695	+	23.0989i	0.673917	+	1.32264i
$306$	−7.25110	+	1.14846i	−0.414518	+	0.0656532i
$307$	−4.97102	−	4.97102i	−0.283711	−	0.283711i	0.550876	−	0.834587i	$-0.314294\pi$
$307$	−4.97102	−	4.97102i	−0.283711	−	0.283711i	−0.834587	+	0.550876i	$0.814294\pi$
$308$	6.87024	+	0.708075i	0.391468	+	0.0403463i
$309$		−	6.43885i		−	0.366293i
$310$	0.260860	+	1.64700i	0.0148158	+	0.0935435i
$311$	24.5214	+	7.96748i	1.39048	+	0.451794i	0.906100	−	0.423064i	$-0.139045\pi$
$311$	24.5214	+	7.96748i	1.39048	+	0.451794i	0.484380	+	0.874858i	$0.339045\pi$
$312$	−7.13197	−	1.04727i	−0.403768	−	0.0592900i
$313$	7.15725	−	5.20005i	0.404552	−	0.293924i	−0.366841	−	0.930284i	$-0.619561\pi$
$313$	7.15725	−	5.20005i	0.404552	−	0.293924i	0.771393	+	0.636360i	$0.219561\pi$
$314$	1.36679	−	8.62956i	0.0771323	−	0.486994i
$315$	4.84910	−	1.57557i	0.273216	−	0.0887731i
$316$	−2.44793	+	7.53396i	−0.137707	+	0.423818i
$317$	1.33736	+	8.44374i	0.0751135	+	0.474248i	0.996358	+	0.0852647i	$0.0271736\pi$
$317$	1.33736	+	8.44374i	0.0751135	+	0.474248i	−0.921245	+	0.388983i	$0.872826\pi$
$318$	9.17708	−	9.17708i	0.514625	−	0.514625i
$319$	−12.1566	−	31.4791i	−0.680641	−	1.76249i
$320$	−3.76464	+	3.76464i	−0.210450	+	0.210450i
$321$	1.28338	−	1.76642i	0.0716311	−	0.0985918i
$322$	28.1642	+	9.15111i	1.56953	+	0.509971i
$323$	5.39671	+	2.74976i	0.300281	+	0.153001i
$324$	0.474120	+	0.652571i	0.0263400	+	0.0362539i
$325$	−2.29405	+	3.23357i	−0.127251	+	0.179366i
$326$	−26.0655	+	8.46918i	−1.44363	+	0.469065i
$327$	−1.39739	−	2.74254i	−0.0772760	−	0.151663i
$328$	7.96012	+	5.78336i	0.439524	+	0.319333i
$329$	−22.7283			−1.25305
$330$	10.6052	+	2.81874i	0.583799	+	0.155166i
$331$	2.91838	+	2.91838i	0.160409	+	0.160409i	0.782748	−	0.622339i	$-0.213818\pi$
$331$	2.91838	+	2.91838i	0.160409	+	0.160409i	−0.622339	+	0.782748i	$0.713818\pi$
$332$	0.667185	+	4.21244i	0.0366165	+	0.231188i
$333$	1.03466	+	2.03063i	0.0566989	+	0.111278i
$334$	1.71226	+	5.26979i	0.0936906	+	0.288350i
$335$	−18.4387	−	25.3787i	−1.00741	−	1.38658i
$336$	12.6541	+	2.00420i	0.690335	+	0.109338i
$337$	−4.58182	−	14.1014i	−0.249588	−	0.768152i	−0.994848	−	0.101378i	$-0.967675\pi$
$337$	−4.58182	−	14.1014i	−0.249588	−	0.768152i	0.745260	−	0.666774i	$-0.232325\pi$
$338$	19.6232	+	9.44715i	1.06736	+	0.513857i
$339$	−6.36899	−	4.62734i	−0.345916	−	0.251323i
$340$	4.93630	−	4.93630i	0.267708	−	0.267708i
$341$	−1.63434	+	0.350838i	−0.0885044	+	0.0189990i
$342$		−	2.31552i		−	0.125209i
$343$	18.7034	−	2.96233i	1.00989	−	0.159951i
$344$	−8.10723	+	4.13084i	−0.437113	+	0.222720i
$345$	12.0486	+	6.13904i	0.648672	+	0.330515i
$346$	−3.17735	+	20.0610i	−0.170816	+	1.07849i
$347$	−11.2982	−	15.5506i	−0.606517	−	0.834799i	0.389768	−	0.920913i	$-0.372555\pi$
$347$	−11.2982	−	15.5506i	−0.606517	−	0.834799i	−0.996285	+	0.0861137i	$0.972555\pi$
$348$	2.53609	+	7.80527i	0.135948	+	0.418406i
$349$	−6.52878	+	3.32658i	−0.349477	+	0.178068i	−0.619913	−	0.784670i	$-0.712832\pi$
$349$	−6.52878	+	3.32658i	−0.349477	+	0.178068i	0.270436	+	0.962738i	$0.412832\pi$
$350$	2.79541	−	3.84756i	0.149421	−	0.205661i
$351$	1.15278	+	3.41630i	0.0615311	+	0.182348i
$352$	10.6554	+	9.55529i	0.567934	+	0.509299i
$353$	5.35325	+	5.35325i	0.284925	+	0.284925i	0.835069	−	0.550145i	$-0.185427\pi$
$353$	5.35325	+	5.35325i	0.284925	+	0.284925i	−0.550145	+	0.835069i	$0.685427\pi$
$354$	9.93333	−	13.6721i	0.527950	−	0.726661i
$355$	−12.4069	−	4.03123i	−0.658487	−	0.213956i
$356$	5.40304	−	10.6041i	0.286361	−	0.562014i
$357$	11.1741	+	1.76980i	0.591395	+	0.0936678i
$358$	29.1058	+	4.60991i	1.53829	+	0.243641i
$359$	−8.37300	+	16.4329i	−0.441910	+	0.867297i	0.557403	+	0.830242i	$0.311798\pi$
$359$	−8.37300	+	16.4329i	−0.441910	+	0.867297i	−0.999313	+	0.0370552i	$0.988202\pi$
$360$	3.75518	+	1.22013i	0.197915	+	0.0643066i
$361$	10.0450	−	13.8258i	0.528687	−	0.727675i
$362$	1.43333	+	1.43333i	0.0753341	+	0.0753341i
$363$	−2.24358	+	10.7688i	−0.117757	+	0.565214i
$364$	−6.72796	−	3.33302i	−0.352641	−	0.174698i
$365$	6.20708	−	8.54331i	0.324893	−	0.447177i
$366$	19.5942	−	9.98376i	1.02421	−	0.521859i
$367$	0.840748	+	2.58756i	0.0438867	+	0.135069i	0.970599	−	0.240702i	$-0.0773777\pi$
$367$	0.840748	+	2.58756i	0.0438867	+	0.135069i	−0.926712	+	0.375772i	$0.877378\pi$
$368$	19.9723	+	27.4895i	1.04113	+	1.43299i
$369$	0.769882	−	4.86084i	0.0400785	−	0.253045i
$370$	−6.71857	−	3.42328i	−0.349282	−	0.177968i
$371$	−17.8200	+	9.07976i	−0.925170	+	0.471398i
$372$	0.401530	−	0.0635961i	0.0208184	−	0.00329731i
$373$		−	13.8260i		−	0.715881i	−0.933744	−	0.357940i	$-0.883479\pi$
$373$		−	13.8260i		−	0.715881i	0.933744	−	0.357940i	$-0.116521\pi$
$374$	18.1277	+	16.2561i	0.937358	+	0.840582i
$375$	8.51807	−	8.51807i	0.439871	−	0.439871i
$376$	−14.2395	−	10.3456i	−0.734345	−	0.533533i
$377$	0.413789	+	36.6822i	0.0213112	+	1.88923i
$378$	−1.33652	−	4.11337i	−0.0687430	−	0.211569i
$379$	−22.8022	−	3.61152i	−1.17127	−	0.185511i	−0.459667	−	0.888091i	$-0.652031\pi$
$379$	−22.8022	−	3.61152i	−1.17127	−	0.185511i	−0.711605	+	0.702580i	$0.752031\pi$
$380$	1.29419	+	1.78130i	0.0663907	+	0.0913790i
$381$	1.97867	+	6.08971i	0.101370	+	0.311986i
$382$	19.0477	+	37.3832i	0.974564	+	1.91269i
$383$	2.06394	+	13.0312i	0.105462	+	0.665863i	0.982616	+	0.185652i	$0.0594398\pi$
$383$	2.06394	+	13.0312i	0.105462	+	0.665863i	−0.877153	+	0.480211i	$0.840560\pi$
$384$	9.29623	+	9.29623i	0.474396	+	0.474396i
$385$	−14.2007	−	9.18135i	−0.723735	−	0.467925i
$386$	4.17721			0.212614
$387$	3.68196	+	2.67510i	0.187165	+	0.135983i
$388$	−3.89583	−	7.64600i	−0.197781	−	0.388167i
$389$	6.06157	−	1.96952i	0.307334	−	0.0998588i	−0.151290	−	0.988489i	$-0.548343\pi$
$389$	6.06157	−	1.96952i	0.307334	−	0.0998588i	0.458624	+	0.888631i	$0.348343\pi$
$390$	−9.72955	−	6.90261i	−0.492675	−	0.349527i
$391$	17.6364	+	24.2744i	0.891912	+	1.22761i
$392$	0.596762	+	0.304066i	0.0301411	+	0.0153576i
$393$	−6.51681	−	2.11744i	−0.328730	−	0.106811i
$394$	−19.4181	+	26.7267i	−0.978270	+	1.34647i
$395$	13.7147	−	13.7147i	0.690062	−	0.690062i
$396$	0.687192	−	2.58550i	0.0345327	−	0.129926i
$397$	25.9296	−	25.9296i	1.30137	−	1.30137i	0.373899	−	0.927469i	$-0.378021\pi$
$397$	25.9296	−	25.9296i	1.30137	−	1.30137i	0.927469	−	0.373899i	$-0.121979\pi$
$398$	2.03269	+	12.8339i	0.101890	+	0.643306i
$399$	−1.10265	+	3.39361i	−0.0552017	+	0.169893i
$400$	5.18981	−	1.68627i	0.259491	−	0.0843136i
$401$	3.48270	−	21.9889i	0.173918	−	1.09807i	−0.734069	−	0.679075i	$-0.762381\pi$
$401$	3.48270	−	21.9889i	0.173918	−	1.09807i	0.907987	−	0.418998i	$-0.137619\pi$
$402$	−21.5281	+	15.6411i	−1.07373	+	0.780107i
$403$	1.79791	+	0.264008i	0.0895602	+	0.0131512i
$404$	11.8059	+	3.83596i	0.587364	+	0.190846i
$405$	−0.308949	−	1.95063i	−0.0153518	−	0.0969275i
$406$		−	44.0051i		−	2.18394i
$407$	3.06045	−	6.91139i	0.151701	−	0.342585i
$408$	6.19508	+	6.19508i	0.306702	+	0.306702i
$409$	11.8800	−	1.88161i	0.587430	−	0.0930398i	0.144358	−	0.989526i	$-0.453888\pi$
$409$	11.8800	−	1.88161i	0.587430	−	0.0930398i	0.443073	+	0.896486i	$0.353888\pi$
$410$	7.39239	+	14.5084i	0.365084	+	0.716518i
$411$	−5.26866	−	2.68452i	−0.259884	−	0.132418i
$412$	4.20180	−	3.05279i	0.207008	−	0.150400i
$413$	−21.0689	+	15.3074i	−1.03673	+	0.753230i
$414$	5.20761	−	10.2205i	0.255940	−	0.502310i
$415$	3.22687	−	9.93127i	0.158401	−	0.487507i
$416$	−7.21960	−	13.7827i	−0.353970	−	0.675752i
$417$		−	4.89583i		−	0.239750i
$418$	−5.95849	+	4.84503i	−0.291439	+	0.236978i
$419$	7.64415			0.373441			0.186721	−	0.982413i	$-0.440214\pi$
$419$	7.64415			0.373441			0.186721	+	0.982413i	$0.440214\pi$
$420$	3.32722	+	2.41737i	0.162352	+	0.117956i
$421$	1.90310	−	0.969676i	0.0927512	−	0.0472591i	−0.407000	−	0.913428i	$-0.633425\pi$
$421$	1.90310	−	0.969676i	0.0927512	−	0.0472591i	0.499751	+	0.866169i	$0.333425\pi$
$422$	8.27708	−	16.2447i	0.402922	−	0.790779i
$423$	−1.37721	+	8.69533i	−0.0669620	+	0.422782i
$424$	−15.2974	−	2.42287i	−0.742908	−	0.117665i
$425$	4.58283	−	1.48905i	0.222300	−	0.0722297i
$426$	−3.41960	+	10.5244i	−0.165680	+	0.509911i
$427$	−33.4715	+	5.30136i	−1.61980	+	0.256551i
$428$	1.76119			0.0851302
$429$	6.37900	−	10.1148i	0.307981	−	0.488345i
$430$	−15.0580			−0.726163
$431$	−1.82479	+	0.289019i	−0.0878972	+	0.0139216i	−0.200228	−	0.979749i	$-0.564168\pi$
$431$	−1.82479	+	0.289019i	−0.0878972	+	0.0139216i	0.112331	+	0.993671i	$0.464168\pi$
$432$	1.53353	−	4.71972i	0.0737820	−	0.227078i
$433$	18.7797	−	6.10189i	0.902494	−	0.293238i	0.179228	−	0.983808i	$-0.442640\pi$
$433$	18.7797	−	6.10189i	0.902494	−	0.293238i	0.723266	+	0.690570i	$0.242640\pi$
$434$	−2.15298	−	0.340999i	−0.103346	−	0.0163685i
$435$	3.14339	−	19.8466i	0.150714	−	0.951571i
$436$	1.12717	−	2.21219i	0.0539815	−	0.105945i
$437$	−8.43212	+	4.29638i	−0.403363	+	0.205524i
$438$	−7.24709	−	5.26532i	−0.346279	−	0.251587i
$439$	15.5893			0.744035			0.372017	−	0.928226i	$-0.378666\pi$
$439$	15.5893			0.744035			0.372017	+	0.928226i	$0.378666\pi$
$440$	−4.71766	−	12.2162i	−0.224906	−	0.582383i
$441$		−	0.335004i		−	0.0159526i
$442$	−12.2824	−	23.4480i	−0.584216	−	1.11531i
$443$	−4.52670	+	13.9318i	−0.215070	+	0.661918i	0.784078	+	0.620662i	$0.213136\pi$
$443$	−4.52670	+	13.9318i	−0.215070	+	0.661918i	−0.999149	+	0.0412561i	$0.986864\pi$
$444$	−0.834577	+	1.63795i	−0.0396073	+	0.0777337i
$445$	−23.5740	+	17.1275i	−1.11752	+	0.811923i
$446$	36.2257	−	26.3195i	1.71534	−	1.24627i
$447$	−2.03796	−	1.03839i	−0.0963922	−	0.0491143i
$448$	−3.15959	−	6.20105i	−0.149277	−	0.292972i
$449$	−22.2797	+	3.52875i	−1.05144	+	0.166532i	−0.658154	−	0.752883i	$-0.728662\pi$
$449$	−22.2797	+	3.52875i	−1.05144	+	0.166532i	−0.393288	+	0.919415i	$0.628662\pi$
$450$	−1.30260	−	1.30260i	−0.0614054	−	0.0614054i
$451$	−14.1192	+	8.18979i	−0.664849	+	0.385642i
$452$		−	6.35013i		−	0.298685i
$453$	−0.536027	−	3.38434i	−0.0251847	−	0.159010i
$454$	40.6976	+	13.2235i	1.91003	+	0.620608i
$455$	10.9726	+	14.7497i	0.514402	+	0.691475i
$456$	−2.23555	+	1.62422i	−0.104689	+	0.0760611i
$457$	2.94275	−	18.5798i	0.137656	−	0.869127i	−0.818123	−	0.575043i	$-0.804985\pi$
$457$	2.94275	−	18.5798i	0.137656	−	0.869127i	0.955779	−	0.294084i	$-0.0950147\pi$
$458$	−6.51953	+	2.11832i	−0.304638	+	0.0989827i
$459$	1.35417	−	4.16772i	0.0632074	−	0.194532i
$460$	1.70630	+	10.7732i	0.0795568	+	0.502302i
$461$	−21.9918	+	21.9918i	−1.02426	+	1.02426i	−0.0245636	+	0.999698i	$0.507820\pi$
$461$	−21.9918	+	21.9918i	−1.02426	+	1.02426i	−0.999698	+	0.0245636i	$0.992180\pi$
$462$	−7.78833	+	12.0461i	−0.362346	+	0.560437i
$463$	5.69105	−	5.69105i	0.264485	−	0.264485i	−0.562388	−	0.826873i	$-0.690117\pi$
$463$	5.69105	−	5.69105i	0.264485	−	0.264485i	0.826873	+	0.562388i	$0.190117\pi$
$464$	29.6784	−	40.8488i	1.37778	−	1.89636i
$465$	−0.946649	−	0.307585i	−0.0438998	−	0.0142639i
$466$	−17.4618	−	8.89723i	−0.808902	−	0.412156i
$467$	−6.91534	−	9.51815i	−0.320004	−	0.440447i	0.618465	−	0.785813i	$-0.287755\pi$
$467$	−6.91534	−	9.51815i	−0.320004	−	0.440447i	−0.938468	+	0.345365i	$0.887755\pi$
$468$	−1.68282	+	2.37201i	−0.0777882	+	0.109646i
$469$	38.9998	−	12.6718i	1.80085	−	0.585130i
$470$	−13.2239	−	25.9534i	−0.609973	−	1.19714i
$471$	4.21924	+	3.06546i	0.194412	+	0.141249i
$472$	−20.1676			−0.928289
$473$	−0.820405	−	15.0722i	−0.0377223	−	0.693019i
$474$	−11.6339	−	11.6339i	−0.534361	−	0.534361i
$475$	0.237752	+	1.50111i	0.0109088	+	0.0688755i
$476$	4.14294	+	8.13098i	0.189891	+	0.372683i
$477$	2.39392	+	7.36773i	0.109610	+	0.337345i
$478$	28.3145	+	38.9716i	1.29507	+	1.78252i
$479$	36.8627	+	5.83848i	1.68430	+	0.266767i	0.923885	−	0.382671i	$-0.124996\pi$
$479$	36.8627	+	5.83848i	1.68430	+	0.266767i	0.760414	+	0.649438i	$0.224996\pi$
$480$	2.63359	+	8.10537i	0.120207	+	0.369958i
$481$	−5.74450	+	5.87558i	−0.261927	+	0.267903i
$482$	−17.3352	−	12.5948i	−0.789597	−	0.573676i
$483$	−12.4993	+	12.4993i	−0.568736	+	0.568736i
$484$	−8.09111	+	3.64160i	−0.367778	+	0.165527i
$485$			21.0106i			0.954042i
$486$	−1.65467	+	0.262074i	−0.0750574	+	0.0118879i
$487$	13.9531	−	7.10946i	0.632275	−	0.322160i	−0.108316	−	0.994117i	$-0.534546\pi$
$487$	13.9531	−	7.10946i	0.632275	−	0.322160i	0.740591	+	0.671956i	$0.234546\pi$
$488$	−23.3833	−	11.9144i	−1.05851	−	0.539340i
$489$	2.55917	−	16.1580i	0.115730	−	0.730689i
$490$	0.651502	+	0.896715i	0.0294318	+	0.0405095i
$491$	7.22130	+	22.2249i	0.325893	+	1.00299i	0.971036	+	0.238933i	$0.0767976\pi$
$491$	7.22130	+	22.2249i	0.325893	+	1.00299i	−0.645143	+	0.764061i	$0.723202\pi$
$492$	3.53706	−	1.80222i	0.159463	−	0.0812504i
$493$	26.2073	−	36.0713i	1.18032	−	1.62457i
$494$	7.91050	−	2.66929i	0.355910	−	0.120097i
$495$	−4.37307	+	4.87654i	−0.196555	+	0.219184i
$496$	−1.76857	−	1.76857i	−0.0794113	−	0.0794113i
$497$	10.0235	−	13.7962i	0.449616	−	0.618843i
$498$	−8.42447	−	2.73727i	−0.377509	−	0.122660i
$499$	1.61558	−	3.17076i	0.0723234	−	0.141943i	−0.852014	−	0.523519i	$-0.824619\pi$
$499$	1.61558	−	3.17076i	0.0723234	−	0.141943i	0.924337	+	0.381577i	$0.124619\pi$
$500$	9.59723	+	1.52005i	0.429201	+	0.0679788i
$501$	−3.26674	−	0.517401i	−0.145947	−	0.0231158i
$502$	5.77218	−	11.3285i	0.257625	−	0.505618i
$503$	−12.2351	−	3.97542i	−0.545536	−	0.177255i	0.0232668	−	0.999729i	$-0.492593\pi$
$503$	−12.2351	−	3.97542i	−0.545536	−	0.177255i	−0.568803	+	0.822474i	$0.692593\pi$
$504$	−3.03381	+	4.17568i	−0.135137	+	0.186000i
$505$	−21.4912	−	21.4912i	−0.956347	−	0.956347i
$506$	−37.1967	+	7.98491i	−1.65360	+	0.354973i
$507$	−10.3422	+	7.87651i	−0.459312	+	0.349808i
$508$	−3.03584	+	4.17848i	−0.134694	+	0.185390i
$509$	−28.7703	+	14.6592i	−1.27522	+	0.649757i	−0.954724	−	0.297493i	$-0.903850\pi$
$509$	−28.7703	+	14.6592i	−1.27522	+	0.649757i	−0.320496	+	0.947250i	$0.603850\pi$
$510$	4.48044	+	13.7894i	0.198397	+	0.610604i
$511$	8.11396	+	11.1679i	0.358940	+	0.494039i
$512$	−0.245926	+	1.55272i	−0.0108685	+	0.0686211i
$513$	1.23151	+	0.627485i	0.0543724	+	0.0277041i
$514$	−31.3771	+	15.9874i	−1.38398	+	0.705175i
$515$	−12.5598	+	1.98928i	−0.553451	+	0.0876580i
$516$			3.67106i			0.161609i
$517$	25.2573	−	14.6503i	1.11081	−	0.644321i
$518$	6.96990	−	6.96990i	0.306240	−	0.306240i
$519$	−9.80842	−	7.12623i	−0.430542	−	0.312807i
$520$	0.160580	+	14.2354i	0.00704190	+	0.624262i
$521$	−9.23436	−	28.4204i	−0.404564	−	1.24512i	−0.921258	−	0.388951i	$-0.872837\pi$
$521$	−9.23436	−	28.4204i	−0.404564	−	1.24512i	0.516694	−	0.856170i	$-0.327163\pi$
$522$	−16.8354	−	2.66647i	−0.736866	−	0.116708i
$523$	25.4973	+	35.0940i	1.11492	+	1.53455i	0.813965	+	0.580914i	$0.197305\pi$
$523$	25.4973	+	35.0940i	1.11492	+	1.53455i	0.300953	+	0.953639i	$0.402695\pi$
$524$	−1.70797	−	5.25660i	−0.0746131	−	0.229636i
$525$	1.28879	+	2.52939i	0.0562474	+	0.110392i
$526$	−5.88349	−	37.1469i	−0.256532	−	1.61968i
$527$	−1.56173	−	1.56173i	−0.0680300	−	0.0680300i
$528$	−15.3540	+	5.92941i	−0.668195	+	0.258045i
$529$	−23.8812			−1.03831
$530$	−20.7363	−	15.0658i	−0.900728	−	0.654417i
$531$	4.57964	+	8.98804i	0.198739	+	0.390048i
$532$	−2.73736	+	0.889423i	−0.118680	+	0.0385614i
$533$	17.4936	−	2.97336i	0.757732	−	0.128790i
$534$	14.5289	+	19.9973i	0.628726	+	0.865368i
$535$	−3.84212	−	1.95766i	−0.166109	−	0.0846370i
$536$	30.2018	+	9.81317i	1.30452	+	0.423864i
$537$	−10.3392	+	14.2307i	−0.446169	+	0.614099i
$538$	−8.58222	+	8.58222i	−0.370006	+	0.370006i
$539$	−0.862061	+	0.700969i	−0.0371316	+	0.0301929i
$540$	1.12644	−	1.12644i	0.0484744	−	0.0484744i
$541$	6.06538	+	38.2953i	0.260771	+	1.64644i	0.676127	+	0.736785i	$0.263657\pi$
$541$	6.06538	+	38.2953i	0.260771	+	1.64644i	−0.415356	+	0.909659i	$0.636343\pi$
$542$	−11.1312	+	34.2583i	−0.478126	+	1.47152i
$543$	−1.15073	+	0.373896i	−0.0493827	+	0.0160454i
$544$	−2.95826	+	18.6777i	−0.126834	+	0.800801i
$545$	−4.91795	+	3.57310i	−0.210662	+	0.153055i
$546$	12.5118	−	9.30777i	0.535455	−	0.398336i
$547$	−28.1865	−	9.15835i	−1.20517	−	0.391583i	−0.363508	−	0.931591i	$-0.618421\pi$
$547$	−28.1865	−	9.15835i	−1.20517	−	0.391583i	−0.841660	+	0.540009i	$0.818421\pi$
$548$	−0.746143	−	4.71096i	−0.0318736	−	0.201242i
$549$			13.1267i			0.560234i
$550$	−0.626378	+	6.07756i	−0.0267089	+	0.259148i
$551$	9.94381	+	9.94381i	0.423621	+	0.423621i
$552$	−13.5204	+	2.14142i	−0.575466	+	0.0911449i
$553$	11.5105	+	22.5906i	0.489476	+	0.960650i
$554$	−6.08825	−	3.10212i	−0.258665	−	0.131796i
$555$	3.64135	−	2.64559i	0.154567	−	0.112299i
$556$	3.19488	−	2.32121i	0.135493	−	0.0984414i
$557$	10.8062	−	21.2084i	0.457874	−	0.898628i	−0.540485	−	0.841354i	$-0.681759\pi$
$557$	10.8062	−	21.2084i	0.457874	−	0.898628i	0.998358	−	0.0572740i	$-0.0182409\pi$
$558$	−0.260917	+	0.803020i	−0.0110455	+	0.0339946i
$559$	−4.89444	+	15.6625i	−0.207013	+	0.662453i
$560$		−	25.3025i		−	1.06923i
$561$	−13.5582	+	5.23593i	−0.572429	+	0.221061i
$562$	−16.2403			−0.685054
$563$	30.9723	+	22.5027i	1.30533	+	0.948375i	0.999993	−	0.00387097i	$-0.00123217\pi$
$563$	30.9723	+	22.5027i	1.30533	+	0.948375i	0.305333	+	0.952246i	$0.401232\pi$
$564$	−6.32728	+	3.22391i	−0.266427	+	0.135751i
$565$	−7.05852	+	13.8531i	−0.296954	+	0.582806i
$566$	6.13712	−	38.7482i	0.257962	−	1.62871i
$567$	2.54988	+	0.403861i	0.107085	+	0.0169606i
$568$	12.5596	−	4.08088i	0.526991	−	0.171230i
$569$	−11.6366	+	35.8139i	−0.487833	+	1.50140i	0.340001	+	0.940425i	$0.389572\pi$
$569$	−11.6366	+	35.8139i	−0.487833	+	1.50140i	−0.827835	+	0.560972i	$0.810428\pi$
$570$	−4.51671	+	0.715377i	−0.189184	+	0.0299639i
$571$	−39.7405			−1.66309			−0.831544	−	0.555459i	$-0.812543\pi$
$571$	−39.7405			−1.66309			−0.831544	+	0.555459i	$0.812543\pi$
$572$	9.62501	−	0.632869i	0.402442	−	0.0264616i
$573$	−25.0440			−1.04623
$574$	−21.0234	+	3.32978i	−0.877501	+	0.138982i
$575$	−2.32658	+	7.16047i	−0.0970250	+	0.298612i
$576$	−2.56384	+	0.833042i	−0.106827	+	0.0347101i
$577$	−8.54396	−	1.35323i	−0.355690	−	0.0563357i	−0.0239673	−	0.999713i	$-0.507630\pi$
$577$	−8.54396	−	1.35323i	−0.355690	−	0.0563357i	−0.331722	+	0.943377i	$0.607630\pi$
$578$	−0.577526	+	3.64636i	−0.0240219	+	0.151668i
$579$	−1.13198	+	2.22165i	−0.0470437	+	0.0923284i
$580$	14.4416	−	7.35839i	0.599657	−	0.305540i
$581$	11.0434	+	8.02348i	0.458156	+	0.332870i
$582$	17.8228			0.738779
$583$	13.9502	−	21.5766i	0.577758	−	0.893612i
$584$			10.6902i			0.442362i
$585$	6.30777	−	3.30412i	0.260794	−	0.136608i
$586$	5.55942	−	17.1101i	0.229658	−	0.706814i
$587$	−0.336490	+	0.660399i	−0.0138884	+	0.0272576i	−0.897847	−	0.440309i	$-0.854869\pi$
$587$	−0.336490	+	0.660399i	−0.0138884	+	0.0272576i	0.883958	+	0.467566i	$0.154869\pi$
$588$	0.218614	−	0.158832i	0.00901549	−	0.00655014i
$589$	0.563563	−	0.409452i	0.0232212	−	0.0168712i
$590$	−29.7380	−	15.1523i	−1.22429	−	0.623808i
$591$	−8.95248	−	17.5702i	−0.368256	−	0.722742i
$592$	11.1707	−	1.76926i	0.459112	−	0.0727162i
$593$	−9.32132	−	9.32132i	−0.382781	−	0.382781i	0.489322	−	0.872103i	$-0.337244\pi$
$593$	−9.32132	−	9.32132i	−0.382781	−	0.382781i	−0.872103	+	0.489322i	$0.837244\pi$
$594$	4.13666	+	3.70957i	0.169729	+	0.152206i
$595$		−	22.3433i		−	0.915984i
$596$	−0.288614	−	1.82224i	−0.0118221	−	0.0746417i
$597$	−7.37656	−	2.39679i	−0.301902	−	0.0980940i
$598$	40.9195	+	6.00869i	1.67332	+	0.245714i
$599$	31.4939	−	22.8817i	1.28681	−	0.934920i	0.287071	−	0.957909i	$-0.407318\pi$
$599$	31.4939	−	22.8817i	1.28681	−	0.934920i	0.999736	+	0.0229894i	$0.00731839\pi$
$600$	−0.343905	+	2.17133i	−0.0140399	+	0.0886441i
$601$	22.2024	−	7.21399i	0.905654	−	0.294265i	0.181085	−	0.983467i	$-0.442039\pi$
$601$	22.2024	−	7.21399i	0.905654	−	0.294265i	0.724569	+	0.689203i	$0.242039\pi$
$602$	6.08269	−	18.7206i	0.247912	−	0.762995i
$603$	−2.48479	−	15.6883i	−0.101188	−	0.638878i
$604$	1.95438	−	1.95438i	0.0795226	−	0.0795226i
$605$	21.6990	+	1.04939i	0.882190	+	0.0426636i
$606$	−18.2305	+	18.2305i	−0.740563	+	0.740563i
$607$	2.30284	−	3.16958i	0.0934693	−	0.128649i	−0.759721	−	0.650249i	$-0.774665\pi$
$607$	2.30284	−	3.16958i	0.0934693	−	0.128649i	0.853190	+	0.521600i	$0.174665\pi$
$608$	−5.67250	−	1.84311i	−0.230050	−	0.0747479i
$609$	23.4041	+	11.9250i	0.948383	+	0.483225i
$610$	−25.5282	−	35.1366i	−1.03361	−	1.42264i
$611$	−31.2935	+	5.31890i	−1.26600	+	0.215180i
$612$	3.36177	−	1.09231i	0.135892	−	0.0441539i
$613$	−9.88912	−	19.4085i	−0.399418	−	0.783902i	0.600458	−	0.799656i	$-0.294985\pi$
$613$	−9.88912	−	19.4085i	−0.399418	−	0.783902i	−0.999876	+	0.0157547i	$0.994985\pi$
$614$	9.52818	+	6.92263i	0.384526	+	0.279375i
$615$	−9.71955			−0.391930
$616$	17.0932	−	0.930415i	0.688706	−	0.0374875i
$617$	10.9913	+	10.9913i	0.442493	+	0.442493i	0.892849	−	0.450356i	$-0.148703\pi$
$617$	10.9913	+	10.9913i	0.442493	+	0.442493i	−0.450356	+	0.892849i	$0.648703\pi$
$618$	1.68746	+	10.6542i	0.0678795	+	0.428574i
$619$	2.14914	+	4.21792i	0.0863811	+	0.169532i	0.930156	−	0.367165i	$-0.119672\pi$
$619$	2.14914	+	4.21792i	0.0863811	+	0.169532i	−0.843775	+	0.536698i	$0.819672\pi$
$620$	−0.248105	−	0.763588i	−0.00996413	−	0.0306664i
$621$	4.02456	+	5.53933i	0.161500	+	0.222286i
$622$	−42.6629	−	6.75714i	−1.71063	−	0.270937i
$623$	−11.7707	−	36.2266i	−0.471585	−	1.45139i
$624$	17.8918	−	0.201826i	0.716245	−	0.00807950i
$625$	−14.7992	−	10.7523i	−0.591970	−	0.430091i
$626$	−10.4801	+	10.4801i	−0.418869	+	0.418869i
$627$	−0.962133	−	4.48198i	−0.0384239	−	0.178993i
$628$			4.20675i			0.167868i
$629$	9.86420	−	1.56234i	0.393311	−	0.0622944i
$630$	−7.61075	+	3.87787i	−0.303219	+	0.154498i
$631$	16.9915	+	8.65760i	0.676421	+	0.344654i	0.758223	−	0.651995i	$-0.226068\pi$
$631$	16.9915	+	8.65760i	0.676421	+	0.344654i	−0.0818025	+	0.996649i	$0.526068\pi$
$632$	−3.07149	+	19.3926i	−0.122177	+	0.771398i
$633$	6.39672	+	8.80433i	0.254247	+	0.349941i
$634$	−4.42578	−	13.6211i	−0.175770	−	0.540964i
$635$	11.2675	−	5.74106i	0.447135	−	0.227827i
$636$	−3.67296	+	5.05540i	−0.145642	+	0.200459i
$637$	1.14447	−	0.386188i	0.0453457	−	0.0153013i
$638$	28.3651	+	48.9016i	1.12299	+	1.93603i
$639$	−4.67074	−	4.67074i	−0.184772	−	0.184772i
$640$	15.2614	−	21.0055i	0.603261	−	0.830317i
$641$	−10.7940	−	3.50719i	−0.426339	−	0.138526i	0.0879853	−	0.996122i	$-0.471957\pi$
$641$	−10.7940	−	3.50719i	−0.426339	−	0.138526i	−0.514324	+	0.857596i	$0.671957\pi$
$642$	−1.66064	+	3.25918i	−0.0655401	+	0.128630i
$643$	3.71245	+	0.587994i	0.146405	+	0.0231882i	0.229207	−	0.973378i	$-0.426387\pi$
$643$	3.71245	+	0.587994i	0.146405	+	0.0231882i	−0.0828018	+	0.996566i	$0.526387\pi$
$644$	−14.0828	−	2.23050i	−0.554940	−	0.0878939i
$645$	4.08059	−	8.00861i	0.160673	−	0.315339i
$646$	−9.65043	−	3.13561i	−0.379691	−	0.123369i
$647$	0.476695	−	0.656114i	0.0187408	−	0.0257945i	−0.799544	−	0.600608i	$-0.794925\pi$
$647$	0.476695	−	0.656114i	0.0187408	−	0.0257945i	0.818285	+	0.574813i	$0.194925\pi$
$648$	1.41369	+	1.41369i	0.0555351	+	0.0555351i
$649$	13.5463	−	30.5914i	0.531738	−	1.20082i
$650$	2.94846	−	5.95171i	0.115648	−	0.233445i
$651$	0.764798	−	1.05265i	0.0299748	−	0.0412568i
$652$	11.7576	−	5.99079i	0.460462	−	0.234617i
$653$	−3.44729	−	10.6097i	−0.134903	−	0.415188i	0.860672	−	0.509160i	$-0.170044\pi$
$653$	−3.44729	−	10.6097i	−0.134903	−	0.415188i	−0.995575	+	0.0939716i	$0.970044\pi$
$654$	3.03097	+	4.17178i	0.118520	+	0.163129i
$655$	−2.11697	+	13.3660i	−0.0827170	+	0.522255i
$656$	−21.7612	−	11.0879i	−0.849631	−	0.432909i
$657$	4.76425	−	2.42751i	0.185871	−	0.0947061i
$658$	37.6078	−	5.95649i	1.46611	−	0.232208i
$659$			14.8446i			0.578263i	0.957289	+	0.289132i	$0.0933665\pi$
$659$			14.8446i			0.578263i	−0.957289	+	0.289132i	$0.906633\pi$
$660$	−5.25565	−	0.541669i	−0.204576	−	0.0210844i
$661$	5.49572	−	5.49572i	0.213759	−	0.213759i	−0.592103	−	0.805862i	$-0.701702\pi$
$661$	5.49572	−	5.49572i	0.213759	−	0.213759i	0.805862	+	0.592103i	$0.201702\pi$
$662$	−5.59379	−	4.06413i	−0.217409	−	0.157957i
$663$	15.7992	−	0.178221i	0.613592	−	0.00692153i
$664$	3.26660	+	10.0536i	0.126769	+	0.390154i
$665$	6.96034	+	1.10241i	0.269910	+	0.0427496i
$666$	−2.24419	−	3.08887i	−0.0869608	−	0.119691i
$667$	21.5275	+	66.2548i	0.833548	+	2.56540i
$668$	−1.21119	−	2.37709i	−0.0468623	−	0.0919724i
$669$	4.18119	+	26.3990i	0.161654	+	1.02064i
$670$	37.1611	+	37.1611i	1.43566	+	1.43566i
$671$	33.7787	−	27.4665i	1.30401	−	1.06033i
$672$	−11.1407			−0.429761
$673$	−22.0699	−	16.0347i	−0.850731	−	0.618092i	0.0746168	−	0.997212i	$-0.476227\pi$
$673$	−22.0699	−	16.0347i	−0.850731	−	0.618092i	−0.925347	+	0.379120i	$0.876227\pi$
$674$	11.2770	+	22.1324i	0.434375	+	0.852508i
$675$	1.04578	−	0.339796i	0.0402522	−	0.0130787i
$676$	−10.0434	−	3.01459i	−0.386285	−	0.115946i
$677$	−12.4902	−	17.1912i	−0.480036	−	0.660712i	0.498476	−	0.866903i	$-0.333893\pi$
$677$	−12.4902	−	17.1912i	−0.480036	−	0.660712i	−0.978512	+	0.206191i	$0.933893\pi$
$678$	11.7513	+	5.98758i	0.451305	+	0.229952i
$679$	−26.1210	−	8.48723i	−1.00243	−	0.325710i
$680$	10.1703	−	13.9983i	0.390015	−	0.536809i
$681$	−18.0616	+	18.0616i	−0.692122	+	0.692122i
$682$	2.61235	−	1.00884i	0.100032	−	0.0386305i
$683$	−9.92388	+	9.92388i	−0.379727	+	0.379727i	−0.871003	−	0.491277i	$-0.836530\pi$
$683$	−9.92388	+	9.92388i	−0.379727	+	0.379727i	0.491277	+	0.871003i	$0.336530\pi$
$684$	0.174405	+	1.10115i	0.00666854	+	0.0421035i
$685$	−3.60875	+	11.1066i	−0.137883	+	0.424361i
$686$	−30.1716	+	9.80335i	−1.15196	+	0.374294i
$687$	0.640104	−	4.04146i	0.0244215	−	0.154191i
$688$	18.2721	−	13.2755i	0.696618	−	0.506123i
$689$	−22.4107	+	16.6718i	−0.853780	+	0.635143i
$690$	−21.5453	−	7.00049i	−0.820215	−	0.266504i
$691$	0.414696	+	2.61829i	0.0157758	+	0.0996044i	0.994320	−	0.106433i	$-0.0339431\pi$
$691$	0.414696	+	2.61829i	0.0157758	+	0.0996044i	−0.978544	+	0.206038i	$0.933943\pi$
$692$		−	9.77937i		−	0.371756i
$693$	−4.29616	−	7.40661i	−0.163198	−	0.281354i
$694$	22.7702	+	22.7702i	0.864344	+	0.864344i
$695$	−9.54995	+	1.51256i	−0.362250	+	0.0573748i
$696$	9.23482	+	18.1244i	0.350045	+	0.687002i
$697$	−19.2161	−	9.79108i	−0.727861	−	0.370864i
$698$	9.93117	−	7.21542i	0.375900	−	0.273108i
$699$	9.46398	−	6.87598i	0.357961	−	0.260074i
$700$	−1.03957	+	2.04026i	−0.0392919	+	0.0771147i
$701$	1.14827	−	3.53402i	0.0433697	−	0.133478i	−0.927027	−	0.374994i	$-0.877645\pi$
$701$	1.14827	−	3.53402i	0.0433697	−	0.133478i	0.970397	+	0.241516i	$0.0776447\pi$
$702$	−2.80280	−	5.35074i	−0.105785	−	0.201951i
$703$			3.14997i			0.118803i
$704$	7.50827	+	4.85441i	0.282979	+	0.182958i
$705$	17.3868			0.654827
$706$	−10.2608	−	7.45492i	−0.386171	−	0.280570i
$707$	35.3999	−	18.0372i	1.33135	−	0.678357i
$708$	−3.69403	+	7.24995i	−0.138830	+	0.272470i
$709$	−6.28934	+	39.7093i	−0.236201	+	1.49132i	0.529605	+	0.848244i	$0.322340\pi$
$709$	−6.28934	+	39.7093i	−0.236201	+	1.49132i	−0.765806	+	0.643071i	$0.777660\pi$
$710$	21.5858	+	3.41885i	0.810099	+	0.128307i
$711$	9.34014	−	3.03480i	0.350283	−	0.113814i
$712$	9.11537	−	28.0542i	0.341613	−	1.05138i
$713$	3.40838	−	0.539834i	0.127645	−	0.0202169i
$714$	−18.9533			−0.709308
$715$	−21.7009	−	9.31810i	−0.811568	−	0.348477i
$716$	−14.1885			−0.530251
$717$	−28.4000	+	4.49812i	−1.06062	+	0.167985i
$718$	9.54791	−	29.3855i	0.356325	−	1.09666i
$719$	−36.5602	+	11.8791i	−1.36346	+	0.443017i	−0.897198	−	0.441628i	$-0.854401\pi$
$719$	−36.5602	+	11.8791i	−1.36346	+	0.443017i	−0.466266	+	0.884644i	$0.654401\pi$
$720$	−9.68019	−	1.53319i	−0.360760	−	0.0571387i
$721$	2.60040	−	16.4183i	0.0968441	−	0.611449i
$722$	−12.9979	+	25.5097i	−0.483730	+	0.949374i
$723$	11.3962	−	5.80666i	0.423829	−	0.215952i
$724$	−0.789580	−	0.573664i	−0.0293445	−	0.0213200i
$725$	11.1879			0.415507
$726$	0.890169	−	18.4068i	0.0330373	−	0.683139i
$727$			14.3448i			0.532019i	0.963970	+	0.266009i	$0.0857052\pi$
$727$			14.3448i			0.532019i	−0.963970	+	0.266009i	$0.914295\pi$
$728$	−17.7627	−	5.55074i	−0.658330	−	0.205724i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	−8.03170	+	15.7631i	−0.297266	+	0.583418i
$731$	16.1351	−	11.7228i	0.596778	−	0.433585i
$732$	−8.56609	+	6.22363i	−0.316612	+	0.230032i
$733$	−17.0445	−	8.68459i	−0.629552	−	0.320773i	0.109940	−	0.993938i	$-0.464934\pi$
$733$	−17.0445	−	8.68459i	−0.629552	−	0.320773i	−0.739492	+	0.673166i	$0.764934\pi$
$734$	−2.06929	−	4.06122i	−0.0763790	−	0.149902i
$735$	−0.653469	+	0.103499i	−0.0241036	+	0.00381763i
$736$	−20.8928	−	20.8928i	−0.770119	−	0.770119i
$737$	−35.1713	+	39.2206i	−1.29555	+	1.44471i
$738$			8.24487i			0.303498i
$739$	2.60016	+	16.4167i	0.0956482	+	0.603899i	0.988225	+	0.153005i	$0.0488950\pi$
$739$	2.60016	+	16.4167i	0.0956482	+	0.603899i	−0.892577	+	0.450895i	$0.851105\pi$
$740$	3.45287	+	1.12191i	0.126930	+	0.0412421i
$741$	−0.724011	+	4.93055i	−0.0265972	+	0.181128i
$742$	27.1067	−	19.6942i	0.995119	−	0.722997i
$743$	1.50584	−	9.50752i	0.0552440	−	0.348797i	−0.944547	−	0.328375i	$-0.893499\pi$
$743$	1.50584	−	9.50752i	0.0552440	−	0.348797i	0.999791	−	0.0204221i	$-0.00650100\pi$
$744$	0.958307	−	0.311373i	0.0351332	−	0.0114155i
$745$	−1.39589	+	4.29611i	−0.0511415	+	0.157397i
$746$	3.62343	+	22.8774i	0.132663	+	0.837602i
$747$	3.73877	−	3.73877i	0.136795	−	0.136795i
$748$	−9.84504	−	6.36523i	−0.359970	−	0.232736i
$749$	3.98585	−	3.98585i	0.145640	−	0.145640i
$750$	−11.8622	+	16.3270i	−0.433148	+	0.596177i
$751$	−45.4115	−	14.7551i	−1.65709	−	0.538421i	−0.676831	−	0.736139i	$-0.736647\pi$
$751$	−45.4115	−	14.7551i	−1.65709	−	0.538421i	−0.980259	+	0.197718i	$0.936647\pi$
$752$	38.9275	+	19.8346i	1.41954	+	0.723292i
$753$	4.46088	+	6.13987i	0.162563	+	0.223749i
$754$	−10.2982	−	60.5886i	−0.375037	−	2.20651i
$755$	−6.43599	+	2.09118i	−0.234229	+	0.0761058i
$756$	0.945402	+	1.85546i	0.0343839	+	0.0674823i
$757$	−37.7220	−	27.4066i	−1.37103	−	0.996111i	−0.997656	−	0.0684291i	$-0.978201\pi$
$757$	−37.7220	−	27.4066i	−1.37103	−	0.996111i	−0.373373	−	0.927681i	$-0.621799\pi$
$758$	38.6767			1.40480
$759$	5.83321	−	21.9469i	0.211732	−	0.796623i
$760$	3.85892	+	3.85892i	0.139978	+	0.139978i
$761$	−0.314984	−	1.98873i	−0.0114182	−	0.0720915i	0.981321	−	0.192376i	$-0.0616193\pi$
$761$	−0.314984	−	1.98873i	−0.0114182	−	0.0720915i	−0.992739	+	0.120285i	$0.961619\pi$
$762$	−4.87000	−	9.55792i	−0.176422	−	0.346247i
$763$	−2.45558	−	7.55750i	−0.0888979	−	0.273600i
$764$	−11.8739	−	16.3430i	−0.429581	−	0.591267i
$765$	−8.54804	−	1.35388i	−0.309055	−	0.0489495i
$766$	−6.83028	−	21.0214i	−0.246788	−	0.759536i
$767$	−25.4265	+	26.0067i	−0.918097	+	0.939046i
$768$	−13.4567	−	9.77683i	−0.485575	−	0.352791i
$769$	10.9829	−	10.9829i	0.396054	−	0.396054i	−0.480784	−	0.876839i	$-0.659648\pi$
$769$	10.9829	−	10.9829i	0.396054	−	0.396054i	0.876839	+	0.480784i	$0.159648\pi$
$770$	25.9037	+	11.4705i	0.933505	+	0.413368i
$771$		−	21.0203i		−	0.757029i
$772$	−1.98648	+	0.314627i	−0.0714949	+	0.0113237i
$773$	−2.20230	+	1.12213i	−0.0792111	+	0.0403601i	−0.493147	−	0.869946i	$-0.664154\pi$
$773$	−2.20230	+	1.12213i	−0.0792111	+	0.0403601i	0.413936	+	0.910306i	$0.364154\pi$
$774$	−6.79351	−	3.46147i	−0.244188	−	0.124420i
$775$	0.0866955	−	0.547374i	0.00311419	−	0.0196622i
$776$	−12.5018	−	17.2073i	−0.448789	−	0.617704i
$777$	1.81816	+	5.59572i	0.0652261	+	0.200745i
$778$	−9.51375	+	4.84750i	−0.341084	+	0.173791i
$779$	3.99822	−	5.50308i	0.143251	−	0.197168i
$780$	5.14681	+	2.54972i	0.184285	+	0.0912946i
$781$	−2.24600	+	21.7923i	−0.0803683	+	0.779789i
$782$	−35.5442	−	35.5442i	−1.27106	−	1.27106i
$783$	5.98040	−	8.23132i	0.213722	−	0.294163i
$784$	−1.58113	−	0.513739i	−0.0564688	−	0.0183478i
$785$	4.67604	−	9.17724i	0.166895	−	0.327550i
$786$	11.3381	+	1.79578i	0.404417	+	0.0640533i
$787$	−4.81554	−	0.762706i	−0.171655	−	0.0271875i	0.0700150	−	0.997546i	$-0.477695\pi$
$787$	−4.81554	−	0.762706i	−0.171655	−	0.0271875i	−0.241670	+	0.970358i	$0.577695\pi$
$788$	7.22126	−	14.1725i	0.257247	−	0.504875i
$789$	21.3509	+	6.93734i	0.760114	+	0.246976i
$790$	−19.0991	+	26.2876i	−0.679514	+	0.935271i
$791$	−14.3713	−	14.3713i	−0.510986	−	0.510986i
$792$	0.679797	−	6.59587i	0.0241555	−	0.234374i
$793$	−44.8447	+	15.1322i	−1.59248	+	0.537362i
$794$	−36.1095	+	49.7004i	−1.28148	+	1.76380i
$795$	13.6321	−	6.94591i	0.483481	−	0.246346i
$796$	−1.93330	−	5.95009i	−0.0685241	−	0.210895i
$797$	4.47183	+	6.15495i	0.158400	+	0.218020i	0.880839	−	0.473415i	$-0.156979\pi$
$797$	4.47183	+	6.15495i	0.158400	+	0.218020i	−0.722439	+	0.691435i	$0.756979\pi$
$798$	0.935149	−	5.90430i	0.0331039	−	0.209010i
$799$	34.3747	+	17.5148i	1.21609	+	0.619629i
$800$	−4.22794	+	2.15424i	−0.149480	+	0.0761640i
$801$	−14.5728	+	2.30810i	−0.514903	+	0.0815526i
$802$			37.2971i			1.31701i
$803$	−16.2155	−	7.18042i	−0.572232	−	0.253391i
$804$	9.05965	−	9.05965i	0.319509	−	0.319509i
$805$	28.2430	+	20.5198i	0.995436	+	0.723227i
$806$	−3.04414	+	0.0343390i	−0.107225	+	0.00120954i
$807$	−2.23875	−	6.89016i	−0.0788076	−	0.242545i
$808$	30.3887	+	4.81309i	1.06907	+	0.169324i
$809$	−19.3571	−	26.6428i	−0.680560	−	0.936711i	0.319380	−	0.947627i	$-0.396525\pi$
$809$	−19.3571	−	26.6428i	−0.680560	−	0.936711i	−0.999940	+	0.0109158i	$0.996525\pi$
$810$	1.02242	+	3.14668i	0.0359241	+	0.110563i
$811$	−7.16951	−	14.0710i	−0.251756	−	0.494098i	0.730194	−	0.683240i	$-0.239430\pi$
$811$	−7.16951	−	14.0710i	−0.251756	−	0.494098i	−0.981950	+	0.189141i	$0.939430\pi$
$812$	3.31447	+	20.9267i	0.116315	+	0.734384i
$813$	−15.2038	−	15.2038i	−0.533221	−	0.533221i
$814$	−3.25274	+	12.2382i	−0.114009	+	0.428947i
$815$	−32.3089			−1.13173
$816$	−17.5938	−	12.7826i	−0.615906	−	0.447482i
$817$	2.85578	+	5.60478i	0.0999111	+	0.196087i
$818$	−19.1644	+	6.22691i	−0.670069	+	0.217719i
$819$	1.55975	+	9.17672i	0.0545022	+	0.320660i
$820$	−4.60824	−	6.34269i	−0.160927	−	0.221496i
$821$	34.4813	+	17.5691i	1.20340	+	0.613165i	0.936537	−	0.350568i	$-0.114011\pi$
$821$	34.4813	+	17.5691i	1.20340	+	0.613165i	0.266867	+	0.963733i	$0.414011\pi$
$822$	9.42145	+	3.06121i	0.328611	+	0.106772i
$823$	7.29037	−	10.0343i	0.254126	−	0.349775i	−0.662825	−	0.748775i	$-0.730643\pi$
$823$	7.29037	−	10.0343i	0.254126	−	0.349775i	0.916951	+	0.399000i	$0.130643\pi$
$824$	9.10256	−	9.10256i	0.317103	−	0.317103i
$825$	−3.06261	−	1.98010i	−0.106626	−	0.0689384i
$826$	30.8504	−	30.8504i	1.07342	−	1.07342i
$827$	2.92684	+	18.4794i	0.101776	+	0.642590i	0.984857	+	0.173369i	$0.0554653\pi$
$827$	2.92684	+	18.4794i	0.101776	+	0.642590i	−0.883081	+	0.469221i	$0.844535\pi$
$828$	−1.70668	+	5.25262i	−0.0593112	+	0.182541i
$829$	29.6393	−	9.63038i	1.02941	−	0.334477i	0.254856	−	0.966979i	$-0.417972\pi$
$829$	29.6393	−	9.63038i	1.02941	−	0.334477i	0.774559	+	0.632502i	$0.217972\pi$
$830$	−2.73667	+	17.2787i	−0.0949913	+	0.599752i
$831$	3.29972	−	2.39739i	0.114466	−	0.0831645i
$832$	−5.80147	−	7.79852i	−0.201130	−	0.270365i
$833$	−1.39620	−	0.453654i	−0.0483756	−	0.0157182i
$834$	1.28307	+	8.10100i	0.0444291	+	0.280515i
$835$			6.53205i			0.226051i
$836$	2.46864	−	2.75286i	0.0853797	−	0.0952095i
$837$	−0.356380	−	0.356380i	−0.0123183	−	0.0123183i
$838$	−12.6486	+	2.00334i	−0.436937	+	0.0692041i
$839$	−6.86376	−	13.4709i	−0.236963	−	0.465066i	0.741647	−	0.670791i	$-0.234045\pi$
$839$	−6.86376	−	13.4709i	−0.236963	−	0.465066i	−0.978610	+	0.205724i	$0.934045\pi$
$840$	9.08250	+	4.62776i	0.313376	+	0.159673i
$841$	60.2878	−	43.8016i	2.07889	−	1.51040i
$842$	−2.89487	+	2.10325i	−0.0997639	+	0.0724827i
$843$	4.40096	−	8.63738i	0.151577	−	0.297487i
$844$	−2.71263	+	8.34862i	−0.0933726	+	0.287371i
$845$	18.5593	+	17.7403i	0.638461	+	0.610285i
$846$		−	14.7489i		−	0.507076i
$847$	−10.0699	+	26.5530i	−0.346007	+	0.912371i
$848$	38.4448			1.32020
$849$	18.9451	+	13.7644i	0.650195	+	0.472395i
$850$	−7.19284	+	3.66494i	−0.246712	+	0.125706i
$851$	−7.08429	+	13.9037i	−0.242846	+	0.476612i
$852$	0.833495	−	5.26248i	0.0285551	−	0.180290i
$853$	−10.8282	−	1.71501i	−0.370750	−	0.0587210i	−0.0317203	−	0.999497i	$-0.510099\pi$
$853$	−10.8282	−	1.71501i	−0.370750	−	0.0587210i	−0.339029	+	0.940776i	$0.610099\pi$
$854$	53.9950	−	17.5440i	1.84767	−	0.600345i
$855$	0.843516	−	2.59607i	0.0288476	−	0.0887839i
$856$	4.31147	−	0.682870i	0.147363	−	0.0233400i
$857$	15.1159			0.516349			0.258175	−	0.966098i	$-0.416879\pi$
$857$	15.1159			0.516349			0.258175	+	0.966098i	$0.416879\pi$
$858$	−7.90433	+	18.4084i	−0.269849	+	0.628452i
$859$	−37.5402			−1.28085			−0.640427	−	0.768019i	$-0.721243\pi$
$859$	−37.5402			−1.28085			−0.640427	+	0.768019i	$0.721243\pi$
$860$	7.16087	−	1.13417i	0.244184	−	0.0386749i
$861$	3.92621	−	12.0836i	0.133805	−	0.411810i
$862$	2.94369	−	0.956463i	0.100262	−	0.0325773i
$863$	−50.5920	−	8.01299i	−1.72217	−	0.272765i	−0.784460	−	0.620179i	$-0.787060\pi$
$863$	−50.5920	−	8.01299i	−1.72217	−	0.272765i	−0.937712	+	0.347414i	$0.887060\pi$
$864$	−0.675063	+	4.26218i	−0.0229661	+	0.145002i
$865$	−10.8703	+	21.3342i	−0.369602	+	0.725385i
$866$	−29.4751	+	15.0183i	−1.00160	+	0.510342i
$867$	−1.78281	−	1.29529i	−0.0605474	−	0.0439902i
$868$	1.04954			0.0356236
$869$	−27.3529	−	17.6848i	−0.927882	−	0.599915i
$870$			33.6634i			1.14130i
$871$	50.7316	−	26.5740i	1.71897	−	0.900427i
$872$	1.90162	−	5.85259i	0.0643970	−	0.198194i
$873$	−4.82982	+	9.47905i	−0.163465	+	0.320817i
$874$	12.8264	−	9.31894i	0.433860	−	0.315218i
$875$	25.1602	−	18.2799i	0.850569	−	0.617975i
$876$	3.84295	+	1.95808i	0.129841	+	0.0661574i
$877$	21.5317	+	42.2584i	0.727075	+	1.42696i	0.897237	+	0.441548i	$0.145571\pi$
$877$	21.5317	+	42.2584i	0.727075	+	1.42696i	−0.170163	+	0.985416i	$0.554429\pi$
$878$	−25.7951	+	4.08554i	−0.870543	+	0.137880i
$879$	7.59347	+	7.59347i	0.256122	+	0.256122i
$880$	16.3097	+	28.1180i	0.549799	+	0.947856i
$881$		−	6.74841i		−	0.227360i	−0.993517	−	0.113680i	$-0.963736\pi$
$881$		−	6.74841i		−	0.227360i	0.993517	−	0.113680i	$-0.0362638\pi$
$882$	0.0877960	+	0.554322i	0.00295625	+	0.0186650i
$883$	−34.4352	−	11.1887i	−1.15884	−	0.376529i	−0.334372	−	0.942441i	$-0.608524\pi$
$883$	−34.4352	−	11.1887i	−1.15884	−	0.376529i	−0.824466	+	0.565912i	$0.808524\pi$
$884$	7.60704	+	10.2256i	0.255853	+	0.343925i
$885$	16.1174	−	11.7100i	0.541782	−	0.393628i
$886$	3.83905	−	24.2388i	0.128975	−	0.814319i
$887$	−6.66959	+	2.16708i	−0.223943	+	0.0727635i	−0.418839	−	0.908060i	$-0.637563\pi$
$887$	−6.66959	+	2.16708i	−0.223943	+	0.0727635i	0.194896	+	0.980824i	$0.437563\pi$
$888$	−1.40800	+	4.33338i	−0.0472494	+	0.145419i
$889$	2.58597	+	16.3272i	0.0867306	+	0.547595i
$890$	34.5186	−	34.5186i	1.15707	−	1.15707i
$891$	−3.09393	+	1.19482i	−0.103651	+	0.0400279i
$892$	−15.2448	+	15.2448i	−0.510434	+	0.510434i
$893$	−7.15223	+	9.84420i	−0.239340	+	0.329424i
$894$	3.64429	+	1.18410i	0.121883	+	0.0396023i
$895$	30.9530	+	15.7714i	1.03465	+	0.527178i
$896$	19.9499	+	27.4587i	0.666479	+	0.917330i
$897$	−14.2845	+	20.1347i	−0.476947	+	0.672279i
$898$	35.9407	−	11.6778i	1.19936	−	0.389695i
$899$	−2.32802	−	4.56900i	−0.0776438	−	0.152385i
$900$	0.717568	+	0.521344i	0.0239189	+	0.0173781i
$901$	33.9484			1.13099
$902$	21.2164	−	17.2517i	0.706428	−	0.574419i
$903$	8.30819	+	8.30819i	0.276479	+	0.276479i
$904$	−2.46215	−	15.5454i	−0.0818900	−	0.517033i
$905$	1.08485	+	2.12914i	0.0360617	+	0.0707750i
$906$	1.77390	+	5.45950i	0.0589338	+	0.181380i
$907$	−20.6538	−	28.4275i	−0.685798	−	0.943919i	0.314188	−	0.949361i	$-0.398268\pi$
$907$	−20.6538	−	28.4275i	−0.685798	−	0.943919i	−0.999985	+	0.00544144i	$0.998268\pi$
$908$	−20.3498	−	3.22310i	−0.675333	−	0.106962i
$909$	−4.75558	−	14.6362i	−0.157733	−	0.485452i
$910$	−22.0215	−	21.5302i	−0.730006	−	0.713720i
$911$	14.8086	+	10.7591i	0.490632	+	0.356465i	0.805427	−	0.592694i	$-0.201936\pi$
$911$	14.8086	+	10.7591i	0.490632	+	0.356465i	−0.314795	+	0.949160i	$0.601936\pi$
$912$	4.85010	−	4.85010i	0.160603	−	0.160603i
$913$	−17.4440	−	1.79785i	−0.577312	−	0.0595001i
$914$			31.5147i			1.04241i
$915$	25.6053	−	4.05548i	0.846485	−	0.134070i
$916$	2.94082	−	1.49842i	0.0971675	−	0.0495093i
$917$	−15.7619	−	8.03111i	−0.520505	−	0.265211i
$918$	−1.14846	+	7.25110i	−0.0379049	+	0.239322i
$919$	−26.6286	−	36.6511i	−0.878396	−	1.20901i	−0.976862	−	0.213868i	$-0.931394\pi$
$919$	−26.6286	−	36.6511i	−0.878396	−	1.20901i	0.0984661	−	0.995140i	$-0.468606\pi$
$920$	8.35423	+	25.7117i	0.275431	+	0.847689i
$921$	−6.26385	+	3.19159i	−0.206401	+	0.105166i
$922$	30.6258	−	42.1528i	1.00861	−	1.38823i
$923$	10.5723	−	21.3410i	0.347991	−	0.702448i
$924$	2.79644	−	6.31518i	0.0919961	−	0.207754i
$925$	1.77203	+	1.77203i	0.0582639	+	0.0582639i
$926$	−7.92534	+	10.9083i	−0.260443	+	0.358469i
$927$	−6.12371	−	1.98971i	−0.201129	−	0.0653508i
$928$	−19.9329	+	39.1205i	−0.654330	+	1.28419i
$929$	−37.8389	−	5.99309i	−1.24145	−	0.196627i	−0.499045	−	0.866576i	$-0.666316\pi$
$929$	−37.8389	−	5.99309i	−1.24145	−	0.196627i	−0.742407	+	0.669949i	$0.766316\pi$
$930$	1.64700	+	0.260860i	0.0540074	+	0.00855393i
$931$	0.210210	−	0.412560i	0.00688936	−	0.0135211i
$932$	8.97413	+	2.91587i	0.293957	+	0.0955126i
$933$	15.1550	−	20.8591i	0.496154	−	0.682897i
$934$	13.9371	+	13.9371i	0.456035	+	0.456035i
$935$	14.4022	+	24.8294i	0.471001	+	0.812008i
$936$	−3.19991	+	6.45928i	−0.104592	+	0.211128i
$937$	16.6952	−	22.9790i	0.545408	−	0.750690i	−0.443972	−	0.896041i	$-0.646431\pi$
$937$	16.6952	−	22.9790i	0.545408	−	0.750690i	0.989380	+	0.145351i	$0.0464310\pi$
$938$	−61.2110	+	31.1886i	−1.99861	+	1.01834i
$939$	−2.73383	−	8.41386i	−0.0892151	−	0.274576i
$940$	8.24346	+	11.3461i	0.268872	+	0.370070i
$941$	−1.80238	+	11.3798i	−0.0587559	+	0.370970i	0.940737	+	0.339136i	$0.110135\pi$
$941$	−1.80238	+	11.3798i	−0.0587559	+	0.370970i	−0.999493	+	0.0318341i	$0.989865\pi$
$942$	−7.78484	−	3.96657i	−0.253644	−	0.129238i
$943$	30.0242	−	15.2981i	0.977724	−	0.498175i
$944$	49.4440	−	7.83116i	1.60927	−	0.254883i
$945$		−	5.09864i		−	0.165859i
$946$	5.30753	+	24.7245i	0.172563	+	0.803862i
$947$	22.9989	−	22.9989i	0.747364	−	0.747364i	−0.226620	−	0.973983i	$-0.572767\pi$
$947$	22.9989	−	22.9989i	0.747364	−	0.747364i	0.973983	+	0.226620i	$0.0727675\pi$
$948$	6.40877	+	4.65624i	0.208147	+	0.151228i
$949$	13.7853	+	13.4777i	0.447488	+	0.437505i
$950$	−0.786803	−	2.42153i	−0.0255273	−	0.0785649i
$951$	8.44374	+	1.33736i	0.273807	+	0.0433668i
$952$	13.2948	+	18.2987i	0.430886	+	0.593064i
$953$	−7.32075	−	22.5310i	−0.237142	−	0.729849i	−0.996830	−	0.0795610i	$-0.974648\pi$
$953$	−7.32075	−	22.5310i	−0.237142	−	0.729849i	0.759688	−	0.650288i	$-0.225352\pi$
$954$	−5.89205	−	11.5638i	−0.190762	−	0.374392i
$955$	7.73731	+	48.8515i	0.250374	+	1.58080i
$956$	−16.4003	−	16.4003i	−0.530425	−	0.530425i
$957$	−33.6950	+	1.83408i	−1.08920	+	0.0592874i
$958$	−62.5258			−2.02012
$959$	−12.3503	−	8.97301i	−0.398812	−	0.289754i
$960$	2.41705	+	4.74373i	0.0780099	+	0.153103i
$961$	29.2412	−	9.50103i	0.943264	−	0.306485i
$962$	7.96542	−	11.2276i	0.256815	−	0.361993i
$963$	−1.28338	−	1.76642i	−0.0413563	−	0.0569220i
$964$	9.19243	+	4.68377i	0.296068	+	0.150854i
$965$	4.68333	+	1.52171i	0.150762	+	0.0489854i
$966$	17.4064	−	23.9579i	0.560043	−	0.770833i
$967$	−26.1562	+	26.1562i	−0.841128	+	0.841128i	−0.989006	−	0.147878i	$-0.952756\pi$
$967$	−26.1562	+	26.1562i	−0.841128	+	0.841128i	0.147878	+	0.989006i	$0.452756\pi$
$968$	−18.3955	+	12.0520i	−0.591253	+	0.387366i
$969$	4.28286	−	4.28286i	0.137585	−	0.137585i
$970$	−5.50634	−	34.7656i	−0.176798	−	1.11626i
$971$	0.754491	−	2.32208i	0.0242128	−	0.0745192i	−0.938220	−	0.346039i	$-0.887526\pi$
$971$	0.754491	−	2.32208i	0.0242128	−	0.0745192i	0.962433	+	0.271520i	$0.0875264\pi$
$972$	0.767143	−	0.249260i	0.0246061	−	0.00799501i
$973$	1.97724	−	12.4838i	0.0633873	−	0.400212i
$974$	−21.2246	+	15.4206i	−0.680080	+	0.494107i
$975$	2.36641	+	3.18100i	0.0757857	+	0.101873i
$976$	61.9543	+	20.1302i	1.98311	+	0.644351i
$977$	−1.46228	−	9.23247i	−0.0467825	−	0.295373i	0.953193	−	0.302362i	$-0.0977752\pi$
$977$	−1.46228	−	9.23247i	−0.0467825	−	0.295373i	−0.999976	+	0.00698933i	$0.997775\pi$
$978$			27.4069i			0.876374i
$979$	36.4317	+	32.6703i	1.16436	+	1.04415i
$980$	−0.377363	−	0.377363i	−0.0120544	−	0.0120544i
$981$	−3.04013	+	0.481509i	−0.0970638	+	0.0153734i
$982$	−17.7734	−	34.8824i	−0.567173	−	1.11314i
$983$	12.6054	+	6.42277i	0.402050	+	0.204855i	0.643310	−	0.765606i	$-0.277561\pi$
$983$	12.6054	+	6.42277i	0.402050	+	0.204855i	−0.241260	+	0.970460i	$0.577561\pi$
$984$	7.96012	−	5.78336i	0.253759	−	0.184367i
$985$	−31.5071	+	22.8913i	−1.00390	+	0.729376i
$986$	−33.9111	+	66.5544i	−1.07995	+	2.11952i
$987$	−7.02342	+	21.6159i	−0.223558	+	0.688041i
$988$	−3.56080	+	1.86521i	−0.113284	+	0.0593401i
$989$			31.1617i			0.990884i
$990$	5.95798	−	9.21514i	0.189357	−	0.292876i
$991$	−10.8291			−0.343998			−0.171999	−	0.985097i	$-0.555023\pi$
$991$	−10.8291			−0.343998			−0.171999	+	0.985097i	$0.555023\pi$
$992$	1.75954	+	1.27838i	0.0558653	+	0.0405885i
$993$	3.67737	−	1.87371i	0.116698	−	0.0594605i
$994$	−12.9700	+	25.4550i	−0.411383	+	0.807385i
$995$	−2.39626	+	15.1294i	−0.0759666	+	0.479634i
$996$	4.21244	+	0.667185i	0.133476	+	0.0211406i
$997$	8.35820	−	2.71574i	0.264707	−	0.0860085i	−0.173657	−	0.984806i	$-0.555558\pi$
$997$	8.35820	−	2.71574i	0.264707	−	0.0860085i	0.438364	+	0.898798i	$0.355558\pi$
$998$	−1.84229	+	5.66997i	−0.0583165	+	0.179480i
$999$	2.25097	−	0.356519i	0.0712176	−	0.0112798i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.a.73.4	✓	112
11.8	odd	10	inner	429.2.bj.a.151.11	yes	112
13.5	odd	4	inner	429.2.bj.a.304.11	yes	112
143.96	even	20	inner	429.2.bj.a.382.4	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.a.73.4	✓	112	1.1	even	1	trivial
429.2.bj.a.151.11	yes	112	11.8	odd	10	inner
429.2.bj.a.304.11	yes	112	13.5	odd	4	inner
429.2.bj.a.382.4	yes	112	143.96	even	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.65467 + 0.262074i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.767143 - 0.249260i) q^{4} +(-1.95063 - 0.308949i) q^{5} +(-0.262074 + 1.65467i) q^{6} +(1.17205 - 2.30028i) q^{7} +(1.78136 - 0.907647i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(-1.65467 + 0.262074i) q^{2} +(0.309017 - 0.951057i) q^{3} +(0.767143 - 0.249260i) q^{4} +(-1.95063 - 0.308949i) q^{5} +(-0.262074 + 1.65467i) q^{6} +(1.17205 - 2.30028i) q^{7} +(1.78136 - 0.907647i) q^{8} +(-0.809017 - 0.587785i) q^{9} +3.30862 q^{10} +(0.180263 + 3.31172i) q^{11} -0.806622i q^{12} +(1.07543 - 3.44143i) q^{13} +(-1.33652 + 4.11337i) q^{14} +(-0.896605 + 1.75969i) q^{15} +(-4.01483 + 2.91695i) q^{16} +(-3.54527 + 2.57579i) q^{17} +(1.49270 + 0.760569i) q^{18} +(-0.627485 - 1.23151i) q^{19} +(-1.57342 + 0.249205i) q^{20} +(-1.82551 - 1.82551i) q^{21} +(-1.16619 - 5.43257i) q^{22} -6.84699i q^{23} +(-0.312754 - 1.97465i) q^{24} +(-1.04578 - 0.339796i) q^{25} +(-0.877568 + 5.97628i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(0.325763 - 2.05679i) q^{28} +(-9.67649 + 3.14408i) q^{29} +(1.02242 - 3.14668i) q^{30} +(0.0788426 + 0.497792i) q^{31} +(3.05139 - 3.05139i) q^{32} +(3.20534 + 0.851938i) q^{33} +(5.19122 - 5.19122i) q^{34} +(-2.99691 + 4.12489i) q^{35} +(-0.767143 - 0.249260i) q^{36} +(-2.03063 - 1.03466i) q^{37} +(1.36103 + 1.87329i) q^{38} +(-2.94067 - 2.08625i) q^{39} +(-3.75518 + 1.22013i) q^{40} +(2.23428 + 4.38503i) q^{41} +(3.49904 + 2.54220i) q^{42} -4.55116 q^{43} +(0.963767 + 2.49563i) q^{44} +(1.39650 + 1.39650i) q^{45} +(1.79442 + 11.3295i) q^{46} +(-3.99681 - 7.84417i) q^{47} +(1.53353 + 4.71972i) q^{48} +(0.196911 + 0.271024i) q^{49} +(1.81948 + 0.288177i) q^{50} +(1.35417 + 4.16772i) q^{51} +(-0.0328047 - 2.90813i) q^{52} +(-6.26737 - 4.55351i) q^{53} +(1.18461 - 1.18461i) q^{54} +(0.671527 - 6.51563i) q^{55} -5.16143i q^{56} +(-1.36514 + 0.216216i) q^{57} +(15.1874 - 7.73838i) q^{58} +(-8.98804 - 4.57964i) q^{59} +(-0.249205 + 1.57342i) q^{60} +(-7.71568 - 10.6197i) q^{61} +(-0.260917 - 0.803020i) q^{62} +(-2.30028 + 1.17205i) q^{63} +(1.58454 - 2.18093i) q^{64} +(-3.16098 + 6.38070i) q^{65} +(-5.52706 - 0.569641i) q^{66} +(11.2316 + 11.2316i) q^{67} +(-2.07769 + 2.85969i) q^{68} +(-6.51187 - 2.11584i) q^{69} +(3.87787 - 7.61075i) q^{70} +(6.52410 + 1.03332i) q^{71} +(-1.97465 - 0.312754i) q^{72} +(-2.42751 + 4.76425i) q^{73} +(3.63118 + 1.17984i) q^{74} +(-0.646330 + 0.889597i) q^{75} +(-0.788336 - 0.788336i) q^{76} +(7.82917 + 3.46685i) q^{77} +(5.41260 + 2.68139i) q^{78} +(-5.77252 + 7.94520i) q^{79} +(8.73263 - 4.44950i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-4.84621 - 6.67024i) q^{82} +(-0.827135 + 5.22233i) q^{83} +(-1.85546 - 0.945402i) q^{84} +(7.71130 - 3.92910i) q^{85} +(7.53067 - 1.19274i) q^{86} +10.1745i q^{87} +(3.32699 + 5.73575i) q^{88} +(10.4329 - 10.4329i) q^{89} +(-2.67673 - 1.94476i) q^{90} +(-6.65580 - 6.50732i) q^{91} +(-1.70668 - 5.25262i) q^{92} +(0.497792 + 0.0788426i) q^{93} +(8.66916 + 11.9321i) q^{94} +(0.843516 + 2.59607i) q^{95} +(-1.95911 - 3.84497i) q^{96} +(-1.66424 - 10.5076i) q^{97} +(-0.396851 - 0.396851i) q^{98} +(1.80075 - 2.78520i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Introduction

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